0.04/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.04/0.13 % Command : vampire_hol --schedule thf_2019 --mode portfolio --time_limit %ds %s 0.13/0.34 % Computer : n027.cluster.edu 0.13/0.34 % Model : x86_64 x86_64 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.34 % Memory : 8042.1875MB 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.34 % CPULimit : 180 0.13/0.34 % DateTime : Thu Aug 29 15:01:09 EDT 2019 0.13/0.34 % CPUTime : 0.20/0.41 % lrs-3_4:1_cunif=on:en=on:foolp=on:holcelim=on:holscev=on:combelim=inference_rules:afea=on:afp=1000:afq=1.4:amm=sco:fde=none:gs=on:lcm=reverse:lma=on:nwc=1.5:stl=30:sd=1:ss=axioms:sp=reverse_arity:urr=on:updr=off:uhcvi=on_11 on theBenchmark 1.53/1.71 % Time limit reached! 1.53/1.71 % ------------------------------ 1.53/1.71 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 1.53/1.71 % Termination reason: Time limit 1.53/1.71 % Termination phase: Saturation 1.53/1.71 1.53/1.71 % Memory used [KB]: 22387 1.53/1.71 % Time elapsed: 1.300 s 1.53/1.71 % ------------------------------ 1.53/1.71 % ------------------------------ 1.56/1.78 % lrs+1011_5:4_anc=none:bsr=on:ccuc=small_ones:irw=on:stl=300d:fde=unused:holscev=on:sp=reverse_arity:sos=on:foolp=on:acc=on:afp=10000:gs=on:nwc=1.2:holcelim=on:updr=off:sac=on:afea=on:newcnf=on:gsem=off:cond=on:add=large:en=on:combelim=inference_rules:gsaa=from_current:amm=off:nm=2:afq=2:cunif=on_38 on theBenchmark 1.56/1.79 % Refutation not found, incomplete strategy 1.56/1.79 % ------------------------------ 1.56/1.79 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 1.56/1.79 % Termination reason: Refutation not found, incomplete strategy 1.56/1.79 1.56/1.79 % Memory used [KB]: 10874 1.56/1.79 % Time elapsed: 0.015 s 1.56/1.79 % ------------------------------ 1.56/1.79 % ------------------------------ 1.64/1.85 % ott+11_16_cunif=on:en=on:foolp=on:holcelim=on:holscev=on:combelim=inference_rules:afea=on:av=off:gs=on:gsem=on:irw=on:lma=on:nm=64:newcnf=on:nwc=1.3:sas=z3:sp=reverse_arity_16 on theBenchmark 3.52/3.65 % Time limit reached! 3.52/3.65 % ------------------------------ 3.52/3.65 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 3.52/3.65 % Termination reason: Time limit 3.52/3.65 % Termination phase: Saturation 3.52/3.65 3.52/3.65 % Memory used [KB]: 38890 3.52/3.65 % Time elapsed: 1.800 s 3.52/3.65 % ------------------------------ 3.52/3.65 % ------------------------------ 3.52/3.68 % lrs+1011_7_anc=none:stl=300d:holscev=on:sp=reverse_arity:foolp=on:lma=on:urr=on:afp=40000:nwc=2.5:holcelim=on:flr=on:updr=off:afea=on:cond=on:add=large:en=on:combelim=both:amm=off:nm=4:fsr=off:afq=1.4:afr=on:er=known:cunif=on_2 on theBenchmark 4.05/4.18 % Time limit reached! 4.05/4.18 % ------------------------------ 4.05/4.18 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 4.05/4.18 % Termination reason: Time limit 4.05/4.18 % Termination phase: Saturation 4.05/4.18 4.05/4.18 % Memory used [KB]: 17910 4.05/4.18 % Time elapsed: 0.500 s 4.05/4.18 % ------------------------------ 4.05/4.18 % ------------------------------ 4.05/4.21 % ott+11_16_sas=z3:irw=on:e2e=off:holscev=on:sp=reverse_arity:foolp=on:addc=user:lma=on:gs=on:nwc=1.3:holcelim=on:afea=on:newcnf=on:gsem=on:en=on:combelim=inference_rules:nm=64:av=off_16 on theBenchmark 5.92/6.01 % Time limit reached! 5.92/6.01 % ------------------------------ 5.92/6.01 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 5.92/6.01 % Termination reason: Time limit 5.92/6.01 % Termination phase: Saturation 5.92/6.01 5.92/6.01 % Memory used [KB]: 24818 5.92/6.01 % Time elapsed: 1.800 s 5.92/6.01 % ------------------------------ 5.92/6.01 % ------------------------------ 5.92/6.04 % lrs+1011_7_anc=none:stl=300d:holscev=on:foolp=on:lma=on:afp=4000:nwc=2.5:holcelim=on:updr=off:afea=on:cond=on:add=large:combelim=inference_rules:amm=off:bd=off:nm=4:fsr=off:csl=3:afq=1.4:afr=on:er=known_2 on theBenchmark 6.46/6.54 % Time limit reached! 6.46/6.54 % ------------------------------ 6.46/6.54 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 6.46/6.54 % Termination reason: Time limit 6.46/6.54 % Termination phase: Saturation 6.46/6.54 6.46/6.54 % Memory used [KB]: 15735 6.46/6.54 % Time elapsed: 0.500 s 6.46/6.54 % ------------------------------ 6.46/6.54 % ------------------------------ 6.46/6.57 % lrs+1011_7_cunif=on:en=on:foolp=on:holcelim=on:holscev=on:combelim=inference_rules:afea=on:add=large:afr=on:afp=40000:afq=1.4:amm=off:anc=none:cond=on:er=known:fsr=off:lma=on:nm=4:nwc=2.5:stl=30:sp=reverse_arity:updr=off_2 on theBenchmark 6.98/7.07 % Time limit reached! 6.98/7.07 % ------------------------------ 6.98/7.07 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 6.98/7.07 % Termination reason: Time limit 6.98/7.07 % Termination phase: Saturation 6.98/7.07 6.98/7.07 % Memory used [KB]: 16119 6.98/7.07 % Time elapsed: 0.500 s 6.98/7.07 % ------------------------------ 6.98/7.07 % ------------------------------ 6.98/7.10 % ott+1011_1024_anc=none:e2e=off:holscev=on:foolp=on:abs=on:acc=on:urr=on:nwc=1.5:holcelim=on:updr=off:sac=on:afea=on:newcnf=on:cond=on:add=off:combelim=both:amm=off:nm=32:afq=1:afr=on_300 on theBenchmark 37.71/37.30 % Time limit reached! 37.71/37.30 % ------------------------------ 37.71/37.30 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 37.71/37.30 % Termination reason: Time limit 37.71/37.30 % Termination phase: Saturation 37.71/37.30 37.71/37.30 % Memory used [KB]: 62045 37.71/37.30 % Time elapsed: 30.200 s 37.71/37.30 % ------------------------------ 37.71/37.30 % ------------------------------ 37.71/37.33 % dis+10_4_cunif=on:en=on:foolp=on:holcelim=on:holscev=on:combelim=inference_rules:afea=on:av=off:bsr=on:cond=fast:er=filter:fde=none:gsp=input_only:lcm=reverse:lma=on:nwc=4:sp=occurrence:urr=on_8 on theBenchmark 38.81/38.43 % Time limit reached! 38.81/38.43 % ------------------------------ 38.81/38.43 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 38.81/38.43 % Termination reason: Time limit 38.81/38.43 % Termination phase: Saturation 38.81/38.43 38.81/38.43 % Memory used [KB]: 8571 38.81/38.43 % Time elapsed: 1.100 s 38.81/38.43 % ------------------------------ 38.81/38.43 % ------------------------------ 38.90/38.46 % lrs+1011_7_cunif=on:en=on:foolp=on:holcelim=on:holscev=on:combelim=inference_rules:afea=on:add=large:afr=on:afp=40000:afq=1.4:amm=off:anc=none:cond=on:er=known:fsr=off:lma=on:nm=4:nwc=2.5:stl=30:sp=reverse_arity:updr=off_2 on theBenchmark 39.41/38.96 % Time limit reached! 39.41/38.96 % ------------------------------ 39.41/38.96 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 39.41/38.96 % Termination reason: Time limit 39.41/38.96 % Termination phase: Saturation 39.41/38.96 39.41/38.96 % Memory used [KB]: 15991 39.41/38.96 % Time elapsed: 0.500 s 39.41/38.96 % ------------------------------ 39.41/38.96 % ------------------------------ 39.41/38.99 % ott+11_2:1_cunif=on:en=on:foolp=on:holcelim=on:holscev=on:combelim=inference_rules:afea=on:add=large:afp=40000:afq=2.0:amm=sco:anc=none:br=off:cond=on:irw=on:nwc=1:sd=2:ss=axioms:st=2.0:sos=all:urr=on:updr=off_111 on theBenchmark 39.41/38.99 % Refutation not found, incomplete strategy 39.41/38.99 % ------------------------------ 39.41/38.99 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 39.41/38.99 % Termination reason: Refutation not found, incomplete strategy 39.41/38.99 39.41/38.99 % Memory used [KB]: 6140 39.41/38.99 % Time elapsed: 0.008 s 39.41/38.99 % ------------------------------ 39.41/38.99 % ------------------------------ 39.41/39.02 % ott+1011_10_bsr=on:erd=off:sas=vampire:fde=none:sp=reverse_arity:sos=all:foolp=on:addc=user:acc=on:afp=4000:fd=off:updr=off:cond=fast:lcm=reverse:add=large:nocto=10:ep=R:nm=16:fsr=off:aup=on:afq=1.1_300 on theBenchmark 70.26/69.22 % Time limit reached! 70.26/69.22 % ------------------------------ 70.26/69.22 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 70.26/69.22 % Termination reason: Time limit 70.26/69.22 % Termination phase: Saturation 70.26/69.22 70.26/69.22 % Memory used [KB]: 584510 70.26/69.22 % Time elapsed: 30.200 s 70.26/69.22 % ------------------------------ 70.26/69.22 % ------------------------------ 70.29/69.28 % lrs-3_4:1_stl=300d:fde=none:holscev=on:sp=reverse_arity:foolp=on:lma=on:urr=on:afp=1000:gs=on:nwc=2:updr=off:afea=on:lcm=reverse:en=on:sd=7:amm=sco:bd=off:csl=3:afq=1.4:uhcvi=on:ss=axioms_11 on theBenchmark 71.62/70.58 % Time limit reached! 71.62/70.58 % ------------------------------ 71.62/70.58 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 71.62/70.58 % Termination reason: Time limit 71.62/70.58 % Termination phase: Saturation 71.62/70.58 71.62/70.58 % Memory used [KB]: 41449 71.62/70.58 % Time elapsed: 1.300 s 71.62/70.58 % ------------------------------ 71.62/70.58 % ------------------------------ 71.62/70.61 % lrs-3_4:1_cunif=on:en=on:foolp=on:holcelim=on:holscev=on:combelim=inference_rules:afea=on:afp=1000:afq=1.4:amm=sco:fde=none:gs=on:lcm=reverse:lma=on:nwc=1.5:stl=30:sd=1:ss=axioms:sp=reverse_arity:urr=on:updr=off:uhcvi=on_11 on theBenchmark 72.96/71.91 % Time limit reached! 72.96/71.91 % ------------------------------ 72.96/71.91 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 72.96/71.91 % Termination reason: Time limit 72.96/71.91 % Termination phase: Saturation 72.96/71.91 72.96/71.91 % Memory used [KB]: 24434 72.96/71.91 % Time elapsed: 1.300 s 72.96/71.91 % ------------------------------ 72.96/71.91 % ------------------------------ 72.96/71.94 % lrs+10_3:1_cunif=on:en=on:foolp=on:holcelim=on:holscev=on:combelim=inference_rules:afea=on:av=off:bsr=on:cond=on:er=known:gs=on:lcm=reverse:nm=32:nwc=4:stl=30:sp=occurrence:urr=on:updr=off_73 on theBenchmark 80.65/79.42 % Time limit reached! 80.65/79.42 % ------------------------------ 80.65/79.42 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 80.65/79.42 % Termination reason: Time limit 80.65/79.42 % Termination phase: Saturation 80.65/79.42 80.65/79.42 % Memory used [KB]: 56033 80.65/79.42 % Time elapsed: 7.500 s 80.65/79.42 % ------------------------------ 80.65/79.42 % ------------------------------ 80.65/79.45 % lrs-3_4:1_anc=all_dependent:stl=300d:fde=none:holscev=on:sp=reverse_arity:foolp=on:lma=on:urr=on:afp=1000:gs=on:nwc=1.5:holcelim=on:updr=off:afea=on:lcm=reverse:en=on:combelim=inference_rules:sd=1:amm=sco:csl=2:afq=1.4:uhcvi=on:ss=axioms_11 on theBenchmark 80.65/79.47 % Refutation not found, incomplete strategy 80.65/79.47 % ------------------------------ 80.65/79.47 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 80.65/79.47 % Termination reason: Refutation not found, incomplete strategy 80.65/79.47 80.65/79.47 % Memory used [KB]: 11001 80.65/79.47 % Time elapsed: 0.040 s 80.65/79.47 % ------------------------------ 80.65/79.47 % ------------------------------ 80.72/79.50 % lrs+1011_3:1_sas=vampire:holscev=on:sp=reverse_arity:sos=all:foolp=on:afp=10000:holcelim=on:updr=off:afea=on:cond=on:add=off:en=on:combelim=both:ep=R:amm=off:nm=16:fsr=off:afq=1.1_300 on theBenchmark 80.72/79.51 % Refutation not found, incomplete strategy 80.72/79.51 % ------------------------------ 80.72/79.51 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 80.72/79.51 % Termination reason: Refutation not found, incomplete strategy 80.72/79.51 80.72/79.51 % Memory used [KB]: 2046 80.72/79.51 % Time elapsed: 0.010 s 80.72/79.51 % ------------------------------ 80.72/79.51 % ------------------------------ 80.72/79.54 % ott+10_2_bsr=on:erd=off:fde=none:holscev=on:sp=occurrence:foolp=on:addc=user:lma=on:urr=on:nwc=4:holcelim=on:afea=on:cond=fast:lcm=reverse:en=on:combelim=both:av=off:gsp=input_only:er=known:cunif=on_8 on theBenchmark 81.84/80.61 % Time limit reached! 81.84/80.61 % ------------------------------ 81.84/80.61 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 81.84/80.61 % Termination reason: Time limit 81.84/80.61 % Termination phase: Saturation 81.84/80.61 81.84/80.61 % Memory used [KB]: 15479 81.84/80.61 % Time elapsed: 1.100 s 81.84/80.61 % ------------------------------ 81.84/80.61 % ------------------------------ 81.88/80.64 % ott+1011_14_anc=none:stl=300d:holscev=on:sp=reverse_arity:foolp=on:lma=on:afp=40000:nwc=2.5:holcelim=on:updr=off:afea=on:lcm=predicate:add=large:en=on:combelim=both:amm=off:bd=off:nm=4:fsr=off:aup=on:afq=1.4:afr=on:er=known:cunif=on_2 on theBenchmark 82.33/81.12 % Time limit reached! 82.33/81.12 % ------------------------------ 82.33/81.12 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 82.33/81.12 % Termination reason: Time limit 82.33/81.12 % Termination phase: Saturation 82.33/81.12 82.33/81.12 % Memory used [KB]: 24178 82.33/81.12 % Time elapsed: 0.500 s 82.33/81.12 % ------------------------------ 82.33/81.12 % ------------------------------ 82.39/81.15 % ott-3_3_stl=300d:fde=none:holscev=on:sp=reverse_arity:foolp=on:lma=on:urr=on:afp=1000:gs=on:nwc=1.5:holcelim=on:updr=off:afea=on:lcm=predicate:combelim=inference_rules:sd=1:amm=sco:afq=1.4:uhcvi=on:ss=axioms:cunif=on_11 on theBenchmark 83.71/82.45 % Time limit reached! 83.71/82.45 % ------------------------------ 83.71/82.45 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 83.71/82.45 % Termination reason: Time limit 83.71/82.45 % Termination phase: Saturation 83.71/82.45 83.71/82.45 % Memory used [KB]: 21236 83.71/82.45 % Time elapsed: 1.300 s 83.71/82.45 % ------------------------------ 83.71/82.45 % ------------------------------ 83.71/82.48 % ott+11_16_cunif=on:en=on:foolp=on:holcelim=on:holscev=on:combelim=inference_rules:afea=on:av=off:gs=on:gsem=on:irw=on:lma=on:nm=64:newcnf=on:nwc=1.3:sas=z3:sp=reverse_arity_16 on theBenchmark 85.55/84.28 % Time limit reached! 85.55/84.28 % ------------------------------ 85.55/84.28 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 85.55/84.28 % Termination reason: Time limit 85.55/84.28 % Termination phase: Saturation 85.55/84.28 85.55/84.28 % Memory used [KB]: 41193 85.55/84.28 % Time elapsed: 1.800 s 85.55/84.28 % ------------------------------ 85.55/84.28 % ------------------------------ 85.55/84.31 % lrs-3_4:1_stl=300d:fde=none:holscev=on:sp=reverse_arity:foolp=on:lma=on:urr=on:afp=1000:gs=on:nwc=1.5:holcelim=on:updr=off:lcm=reverse:add=large:combelim=inference_rules:sd=1:amm=sco:afq=1.4:uhcvi=on:ss=axioms:cunif=on_11 on theBenchmark 85.55/84.31 % Refutation not found, incomplete strategy 85.55/84.31 % ------------------------------ 85.55/84.31 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 85.55/84.31 % Termination reason: Refutation not found, incomplete strategy 85.55/84.31 85.55/84.31 % Memory used [KB]: 10490 85.55/84.31 % Time elapsed: 0.006 s 85.55/84.31 % ------------------------------ 85.55/84.31 % ------------------------------ 85.63/84.34 % lrs-3_4:1_stl=300d:fde=none:holscev=on:sp=reverse_arity:foolp=on:addc=user:lma=on:urr=on:afp=1000:gs=on:nwc=1.5:holcelim=on:updr=off:st=3:lcm=reverse:en=on:combelim=inference_rules:sd=4:nocto=10:amm=off:afq=1.4:uhcvi=on:ss=axioms:cunif=on_11 on theBenchmark 86.88/85.64 % Time limit reached! 86.88/85.64 % ------------------------------ 86.88/85.64 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 86.88/85.64 % Termination reason: Time limit 86.88/85.64 % Termination phase: Saturation 86.88/85.64 86.88/85.64 % Memory used [KB]: 18805 86.88/85.64 % Time elapsed: 1.300 s 86.88/85.64 % ------------------------------ 86.88/85.64 % ------------------------------ 86.97/85.67 % dis+10_4_bsr=on:fde=none:holscev=on:sp=frequency:foolp=on:lma=on:urr=on:nwc=1.7:afea=on:cond=fast:lcm=reverse:en=on:combelim=inference_rules:av=off:gsp=input_only:er=filter:cunif=on_8 on theBenchmark 88.05/86.77 % Time limit reached! 88.05/86.77 % ------------------------------ 88.05/86.77 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 88.05/86.77 % Termination reason: Time limit 88.05/86.77 % Termination phase: Saturation 88.05/86.77 88.05/86.77 % Memory used [KB]: 8187 88.05/86.77 % Time elapsed: 1.100 s 88.05/86.77 % ------------------------------ 88.05/86.77 % ------------------------------ 88.12/86.80 % ott-3_4:1_stl=300d:fde=none:holscev=on:sp=reverse_arity:foolp=on:lma=on:abs=on:urr=on:afp=1000:gs=on:nwc=1.5:holcelim=on:updr=off:afea=on:lcm=reverse:en=on:combelim=inference_rules:sd=1:amm=sco:bd=off:afq=1.4:uhcvi=on:ss=axioms:cunif=on_11 on theBenchmark 89.44/88.10 % Time limit reached! 89.44/88.10 % ------------------------------ 89.44/88.10 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 89.44/88.10 % Termination reason: Time limit 89.44/88.10 % Termination phase: Saturation 89.44/88.10 89.44/88.10 % Memory used [KB]: 24178 89.44/88.10 % Time elapsed: 1.300 s 89.44/88.10 % ------------------------------ 89.44/88.10 % ------------------------------ 89.44/88.13 % dis+1011_7_anc=none:stl=300d:holscev=on:sp=reverse_arity:foolp=on:lma=on:afp=40000:nwc=2.5:updr=off:afea=on:cond=on:en=on:combelim=inference_rules:amm=off:nm=4:fsr=off:afq=1.4:afr=on:er=known:cunif=on_2 on theBenchmark 89.94/88.63 % Time limit reached! 89.94/88.63 % ------------------------------ 89.94/88.63 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 89.94/88.63 % Termination reason: Time limit 89.94/88.63 % Termination phase: Saturation 89.94/88.63 89.94/88.63 % Memory used [KB]: 11513 89.94/88.63 % Time elapsed: 0.500 s 89.94/88.63 % ------------------------------ 89.94/88.63 % ------------------------------ 89.94/88.66 % dis+1004_4_bsr=on:fde=none:holscev=on:sp=occurrence:foolp=on:lma=on:nwc=4:afea=on:cond=fast:lcm=reverse:en=on:combelim=both:av=off:gsp=input_only:er=filter:cunif=on_8 on theBenchmark 91.12/89.75 % Time limit reached! 91.12/89.75 % ------------------------------ 91.12/89.75 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 91.12/89.75 % Termination reason: Time limit 91.12/89.75 % Termination phase: Saturation 91.12/89.75 91.12/89.75 % Memory used [KB]: 9594 91.12/89.75 % Time elapsed: 1.100 s 91.12/89.75 % ------------------------------ 91.12/89.75 % ------------------------------ 91.12/89.78 % dis+10_4_bsr=on:fde=none:drc=off:holscev=on:sp=occurrence:foolp=on:addc=user:lma=on:urr=on:nwc=4:holcelim=on:afea=on:cond=on:en=on:combelim=inference_rules:bs=on:av=off:gsp=input_only:er=filter:cunif=on_8 on theBenchmark 92.30/90.88 % Time limit reached! 92.30/90.88 % ------------------------------ 92.30/90.88 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 92.30/90.88 % Termination reason: Time limit 92.30/90.88 % Termination phase: Saturation 92.30/90.88 92.30/90.88 % Memory used [KB]: 8571 92.30/90.88 % Time elapsed: 1.100 s 92.30/90.88 % ------------------------------ 92.30/90.88 % ------------------------------ 92.30/90.91 % lrs+1011_7_anc=all_dependent:bsr=on:stl=300d:holscev=on:sp=reverse_arity:foolp=on:lma=on:afp=40000:nwc=2.5:holcelim=on:updr=off:afea=on:cond=fast:add=large:combelim=inference_rules:amm=off:nm=4:fsr=off:afq=1.4:afr=on:cunif=on_2 on theBenchmark 92.32/91.41 % Time limit reached! 92.32/91.41 % ------------------------------ 92.32/91.41 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 92.32/91.41 % Termination reason: Time limit 92.32/91.41 % Termination phase: Saturation 92.32/91.41 92.32/91.41 % Memory used [KB]: 36843 92.32/91.41 % Time elapsed: 0.500 s 92.32/91.41 % ------------------------------ 92.32/91.41 % ------------------------------ 92.32/91.44 % dis+10_4_cunif=on:en=on:foolp=on:holcelim=on:holscev=on:combelim=inference_rules:afea=on:av=off:bsr=on:cond=fast:er=filter:fde=none:gsp=input_only:lcm=reverse:lma=on:nwc=4:sp=occurrence:urr=on_8 on theBenchmark 93.96/92.54 % Time limit reached! 93.96/92.54 % ------------------------------ 93.96/92.54 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 93.96/92.54 % Termination reason: Time limit 93.96/92.54 % Termination phase: Saturation 93.96/92.54 93.96/92.54 % Memory used [KB]: 8571 93.96/92.54 % Time elapsed: 1.100 s 93.96/92.54 % ------------------------------ 93.96/92.54 % ------------------------------ 93.96/92.57 % ott+1002_128_anc=none:sas=vampire:sp=occurrence:foolp=on:addc=function_of_input:urr=on:afp=100000:gs=on:nwc=1.7:holcelim=on:updr=off:afea=on:gsem=off:add=off:en=on:combelim=inference_rules:bs=unit_only:amm=off:bd=off:nm=32:fsr=off:afq=1.1:afr=on_17 on theBenchmark 95.94/94.47 % Time limit reached! 95.94/94.47 % ------------------------------ 95.94/94.47 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 95.94/94.47 % Termination reason: Time limit 95.94/94.47 % Termination phase: Saturation 95.94/94.47 95.94/94.47 % Memory used [KB]: 9594 95.94/94.47 % Time elapsed: 1.900 s 95.94/94.47 % ------------------------------ 95.94/94.47 % ------------------------------ 95.94/94.50 % lrs-1010_3:1_anc=none:stl=300d:fde=none:holscev=on:sp=reverse_arity:foolp=on:lma=on:afp=1000:nwc=2.5:updr=off:sac=on:afea=on:cond=on:add=large:en=on:combelim=both:bs=on:amm=off:nm=4:fsr=off:afq=1.4:afr=on:er=known:cunif=on_2 on theBenchmark 96.44/95.00 % Time limit reached! 96.44/95.00 % ------------------------------ 96.44/95.00 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 96.44/95.00 % Termination reason: Time limit 96.44/95.00 % Termination phase: Saturation 96.44/95.00 96.44/95.00 % Memory used [KB]: 13304 96.44/95.00 % Time elapsed: 0.500 s 96.44/95.00 % ------------------------------ 96.44/95.00 % ------------------------------ 96.44/95.03 % lrs+1011_7_anc=none:stl=300d:holscev=on:sp=reverse_arity:foolp=on:lma=on:afp=4000:nwc=2.5:holcelim=on:updr=off:afea=on:cond=on:add=large:en=on:combelim=inference_rules:amm=off:bd=off:nm=4:fsr=off:afq=1.4:afr=on:er=known:cunif=on_2 on theBenchmark 96.93/95.53 % Time limit reached! 96.93/95.53 % ------------------------------ 96.93/95.53 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 96.93/95.53 % Termination reason: Time limit 96.93/95.53 % Termination phase: Saturation 96.93/95.53 96.93/95.53 % Memory used [KB]: 17014 96.93/95.53 % Time elapsed: 0.500 s 96.93/95.53 % ------------------------------ 96.93/95.53 % ------------------------------ 97.04/95.56 % lrs+1011_7_anc=none:stl=300d:holscev=on:foolp=on:lma=on:afp=40000:nwc=2.5:holcelim=on:updr=off:cond=on:add=large:en=on:combelim=inference_rules:extensionality_max_length=2:amm=off:nm=4:fsr=off:csl=3:afq=1.4:afr=on:er=known:cunif=on_2 on theBenchmark 97.53/96.06 % Time limit reached! 97.53/96.06 % ------------------------------ 97.53/96.06 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 97.53/96.06 % Termination reason: Time limit 97.53/96.06 % Termination phase: Saturation 97.53/96.06 97.53/96.06 % Memory used [KB]: 14583 97.53/96.06 % Time elapsed: 0.500 s 97.53/96.06 % ------------------------------ 97.53/96.06 % ------------------------------ 97.57/96.09 % lrs+10_4:1_cunif=on:en=on:foolp=on:holcelim=on:holscev=on:combelim=inference_rules:afea=on:add=large:afp=100000:afq=1.1:anc=none:ep=RST:fde=unused:gsp=input_only:nm=6:newcnf=on:nwc=1:stl=30:sos=all:sac=on:sp=reverse_arity:urr=ec_only_22 on theBenchmark 100.02/98.48 % Time limit reached! 100.02/98.48 % ------------------------------ 100.02/98.48 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 100.02/98.48 % Termination reason: Time limit 100.02/98.48 % Termination phase: Saturation 100.02/98.48 100.02/98.48 % Memory used [KB]: 8955 100.02/98.48 % Time elapsed: 2.400 s 100.02/98.48 % ------------------------------ 100.02/98.48 % ------------------------------ 100.02/98.51 % lrs+1011_5:4_cunif=on:en=on:foolp=on:holcelim=on:holscev=on:combelim=inference_rules:afea=on:acc=on:add=large:afr=on:afp=10000:afq=2.0:amm=sco:anc=none:bsr=on:ccuc=first:cond=on:fde=unused:gs=on:gsaa=from_current:gsem=off:irw=on:nm=2:newcnf=on:nwc=1.2:stl=30:sos=on:sac=on:sp=reverse_arity:updr=off_38 on theBenchmark 100.02/98.52 % Refutation not found, incomplete strategy 100.02/98.52 % ------------------------------ 100.02/98.52 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 100.02/98.52 % Termination reason: Refutation not found, incomplete strategy 100.02/98.52 100.02/98.52 % Memory used [KB]: 10874 100.02/98.52 % Time elapsed: 0.008 s 100.02/98.52 % ------------------------------ 100.02/98.52 % ------------------------------ 100.07/98.55 % lrs+10_4_bsr=on:holscev=on:sp=occurrence:foolp=on:lma=on:urr=on:nwc=4:afea=on:cond=fast:lcm=reverse:en=on:combelim=inference_rules:av=off:aup=on:gsp=input_only:er=filter:cunif=on_8 on theBenchmark 101.17/99.65 % Time limit reached! 101.17/99.65 % ------------------------------ 101.17/99.65 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 101.17/99.65 % Termination reason: Time limit 101.17/99.65 % Termination phase: Saturation 101.17/99.65 101.17/99.65 % Memory used [KB]: 8059 101.17/99.65 % Time elapsed: 1.100 s 101.17/99.65 % ------------------------------ 101.17/99.65 % ------------------------------ 101.23/99.68 % dis+10_4_bsr=on:holscev=on:sp=occurrence:foolp=on:addc=function_of_input:lma=on:urr=on:nwc=4:cond=fast:lcm=reverse:combelim=inference_rules:av=off:fsr=off:cadd=sort:gsp=input_only:er=filter:cunif=on_8 on theBenchmark 102.31/100.77 % Time limit reached! 102.31/100.77 % ------------------------------ 102.31/100.77 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 102.31/100.77 % Termination reason: Time limit 102.31/100.77 % Termination phase: Saturation 102.31/100.77 102.31/100.77 % Memory used [KB]: 14839 102.31/100.77 % Time elapsed: 1.100 s 102.31/100.77 % ------------------------------ 102.31/100.77 % ------------------------------ 102.37/100.81 % lrs+1011_4:1_anc=none:stl=300d:holscev=on:sp=reverse_arity:foolp=on:lma=on:afp=40000:nwc=2.5:holcelim=on:updr=off:afea=on:cond=on:lcm=reverse:add=large:en=on:combelim=both:amm=off:nm=4:fsr=off:afq=1.4:afr=on:er=known:cunif=on_2 on theBenchmark 102.83/101.31 % Time limit reached! 102.83/101.31 % ------------------------------ 102.83/101.31 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 102.83/101.31 % Termination reason: Time limit 102.83/101.31 % Termination phase: Saturation 102.83/101.31 102.83/101.31 % Memory used [KB]: 15351 102.83/101.31 % Time elapsed: 0.500 s 102.83/101.31 % ------------------------------ 102.83/101.31 % ------------------------------ 102.91/101.34 % lrs+1003_1024_anc=none:stl=300d:holscev=on:sp=reverse_arity:foolp=on:lma=on:afp=1000:nwc=2.5:holcelim=on:updr=off:afea=on:cond=on:add=large:en=on:combelim=inference_rules:amm=sco:nm=4:fsr=off:afq=1.4:afr=on:er=known_2 on theBenchmark 103.41/101.83 % Time limit reached! 103.41/101.83 % ------------------------------ 103.41/101.83 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 103.41/101.83 % Termination reason: Time limit 103.41/101.83 % Termination phase: Saturation 103.41/101.83 103.41/101.83 % Memory used [KB]: 16502 103.41/101.83 % Time elapsed: 0.500 s 103.41/101.83 % ------------------------------ 103.41/101.83 % ------------------------------ 103.45/101.87 % lrs+2_4:1_anc=all_dependent:stl=300d:holscev=on:sp=reverse_arity:foolp=on:addc=user:lma=on:urr=on:afp=1000:gs=on:nwc=1.5:holcelim=on:updr=off:afea=on:lcm=reverse:combelim=both:sd=1:aac=none:amm=sco:afq=1.4:uhcvi=on:ss=axioms:cunif=on_11 on theBenchmark 104.76/103.16 % Time limit reached! 104.76/103.16 % ------------------------------ 104.76/103.16 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 104.76/103.16 % Termination reason: Time limit 104.76/103.16 % Termination phase: Saturation 104.76/103.16 104.76/103.16 % Memory used [KB]: 25713 104.76/103.16 % Time elapsed: 1.300 s 104.76/103.16 % ------------------------------ 104.76/103.16 % ------------------------------ 104.76/103.20 % lrs-1002_4:1_stl=300d:fde=none:holscev=on:sp=reverse_arity:foolp=on:lma=on:urr=on:afp=1000:gs=on:nwc=1.5:holcelim=on:updr=off:afea=on:lcm=reverse:combelim=inference_rules:sd=5:amm=sco:bd=off:fsr=off:afq=1.4:uhcvi=on:ss=axioms_11 on theBenchmark 104.76/103.20 % Refutation not found, incomplete strategy 104.76/103.20 % ------------------------------ 104.76/103.20 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 104.76/103.20 % Termination reason: Refutation not found, incomplete strategy 104.76/103.20 104.76/103.20 % Memory used [KB]: 10490 104.76/103.20 % Time elapsed: 0.006 s 104.76/103.20 % ------------------------------ 104.76/103.20 % ------------------------------ 104.76/103.23 % lrs+1010_5:4_anc=none:irw=on:stl=300d:e2e=off:ile=on:holscev=on:sp=occurrence:foolp=on:urr=on:afp=100000:holcelim=on:sac=on:afea=on:cond=on:lcm=predicate:en=on:combelim=inference_rules:nm=64:fsr=off:afq=1.2_2 on theBenchmark 105.33/103.73 % Time limit reached! 105.33/103.73 % ------------------------------ 105.33/103.73 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 105.33/103.73 % Termination reason: Time limit 105.33/103.73 % Termination phase: Saturation 105.33/103.73 105.33/103.73 % Memory used [KB]: 16119 105.33/103.73 % Time elapsed: 0.500 s 105.33/103.73 % ------------------------------ 105.33/103.73 % ------------------------------ 105.33/103.76 % lrs+1011_7_anc=all:stl=300d:holscev=on:foolp=on:lma=on:afp=40000:nwc=1.3:holcelim=on:updr=off:cond=on:add=large:combelim=inference_rules:bs=on:amm=off:nm=4:fsr=off:csl=actual:afq=1.4:afr=on:er=known_2 on theBenchmark 105.86/104.26 % Time limit reached! 105.86/104.26 % ------------------------------ 105.86/104.26 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 105.86/104.26 % Termination reason: Time limit 105.86/104.26 % Termination phase: Saturation 105.86/104.26 105.86/104.26 % Memory used [KB]: 19189 105.86/104.26 % Time elapsed: 0.500 s 105.86/104.26 % ------------------------------ 105.86/104.26 % ------------------------------ 105.86/104.29 % ott+1002_8:1_cunif=on:en=on:foolp=on:holcelim=on:holscev=on:combelim=inference_rules:afea=on:add=off:afr=on:afp=100000:afq=1.1:amm=off:anc=none:bd=off:bs=unit_only:fsr=off:gs=on:gsem=off:nm=32:nwc=10:sas=z3:sp=occurrence:urr=on:updr=off_17 on theBenchmark 107.85/106.19 % Time limit reached! 107.85/106.19 % ------------------------------ 107.85/106.19 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 107.85/106.19 % Termination reason: Time limit 107.85/106.19 % Termination phase: Saturation 107.85/106.19 107.85/106.19 % Memory used [KB]: 16247 107.85/106.19 % Time elapsed: 1.900 s 107.85/106.19 % ------------------------------ 107.85/106.19 % ------------------------------ 107.85/106.22 % lrs+3_5:4_anc=all:irw=on:stl=300d:ile=on:holscev=on:sp=reverse_arity:foolp=on:urr=on:afp=100000:holcelim=on:cond=on:combelim=inference_rules:nm=64:fsr=off:afq=1.2_2 on theBenchmark 108.39/106.72 % Time limit reached! 108.39/106.72 % ------------------------------ 108.39/106.72 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 108.39/106.72 % Termination reason: Time limit 108.39/106.72 % Termination phase: Saturation 108.39/106.72 108.39/106.72 % Memory used [KB]: 11129 108.39/106.72 % Time elapsed: 0.500 s 108.39/106.72 % ------------------------------ 108.39/106.72 % ------------------------------ 108.39/106.74 % lrs+1_5_anc=none:bsr=on:stl=300d:holscev=on:sp=reverse_arity:foolp=on:lma=on:afp=100000:nwc=2.5:holcelim=on:updr=off:afea=on:cond=on:add=large:en=on:combelim=inference_rules:amm=off:nm=4:fsr=off:afq=1.4:afr=on:er=known:cunif=on_2 on theBenchmark 108.41/107.24 % Time limit reached! 108.41/107.24 % ------------------------------ 108.41/107.24 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 108.41/107.24 % Termination reason: Time limit 108.41/107.24 % Termination phase: Saturation 108.41/107.24 108.41/107.24 % Memory used [KB]: 12920 108.41/107.24 % Time elapsed: 0.500 s 108.41/107.24 % ------------------------------ 108.41/107.24 % ------------------------------ 108.92/107.27 % lrs-3_4:1_stl=300d:fde=none:holscev=on:sp=reverse_arity:foolp=on:lma=on:urr=on:afp=1000:gs=on:nwc=1.5:updr=off:afea=on:lcm=reverse:add=large:combelim=inference_rules:sd=1:amm=sco:aup=on:afq=1.4:uhcvi=on:ss=axioms:cunif=on_11 on theBenchmark 110.26/108.57 % Time limit reached! 110.26/108.57 % ------------------------------ 110.26/108.57 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 110.26/108.57 % Termination reason: Time limit 110.26/108.57 % Termination phase: Saturation 110.26/108.57 110.26/108.57 % Memory used [KB]: 22771 110.26/108.57 % Time elapsed: 1.300 s 110.26/108.57 % ------------------------------ 110.26/108.57 % ------------------------------ 110.26/108.60 % ott+11_16_irw=on:drc=off:holscev=on:sp=reverse_arity:foolp=on:lma=on:gs=on:nwc=1.5:newcnf=on:gsem=on:cond=on:en=on:combelim=both:bd=off:nm=64:av=off:cunif=on_16 on theBenchmark 112.07/110.40 % Time limit reached! 112.07/110.40 % ------------------------------ 112.07/110.40 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 112.07/110.40 % Termination reason: Time limit 112.07/110.40 % Termination phase: Saturation 112.07/110.40 112.07/110.40 % Memory used [KB]: 24306 112.07/110.40 % Time elapsed: 1.800 s 112.07/110.40 % ------------------------------ 112.07/110.40 % ------------------------------ 112.15/110.43 % lrs+1011_7_anc=none:stl=300d:holscev=on:foolp=on:addc=user:lma=on:afp=4000:nwc=2.5:holcelim=on:updr=off:cond=on:lcm=reverse:add=large:en=on:combelim=inference_rules:amm=off:bd=off:nm=4:fsr=off:afq=1.4:afr=on:er=known:cunif=on_2 on theBenchmark 112.62/110.93 % Time limit reached! 112.62/110.93 % ------------------------------ 112.62/110.93 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 112.62/110.93 % Termination reason: Time limit 112.62/110.93 % Termination phase: Saturation 112.62/110.93 112.62/110.93 % Memory used [KB]: 17142 112.62/110.93 % Time elapsed: 0.500 s 112.62/110.93 % ------------------------------ 112.62/110.93 % ------------------------------ 112.62/110.96 % dis+10_4_bsr=on:sas=vampire:fde=none:holscev=on:sp=occurrence:foolp=on:addc=function_of_input:lma=on:urr=on:nwc=5:holcelim=on:afea=on:cond=fast:lcm=reverse:en=on:combelim=both:av=off:csl=actual:gsp=input_only:er=filter_8 on theBenchmark 113.76/112.04 % Time limit reached! 113.76/112.04 % ------------------------------ 113.76/112.04 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 113.76/112.04 % Termination reason: Time limit 113.76/112.04 % Termination phase: Saturation 113.76/112.04 113.76/112.04 % Memory used [KB]: 25585 113.76/112.04 % Time elapsed: 1.100 s 113.76/112.04 % ------------------------------ 113.76/112.04 % ------------------------------ 113.82/112.07 % dis+1011_7_bsr=on:stl=300d:e2e=off:holscev=on:sp=reverse_arity:foolp=on:addc=user:lma=on:afp=40000:nwc=2.5:updr=off:afea=on:cond=on:add=large:en=on:combelim=inference_rules:amm=off:nm=4:fsr=off:afq=1.4:afr=on:er=known_2 on theBenchmark 114.34/112.57 % Time limit reached! 114.34/112.57 % ------------------------------ 114.34/112.57 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 114.34/112.57 % Termination reason: Time limit 114.34/112.57 % Termination phase: Saturation 114.34/112.57 114.34/112.57 % Memory used [KB]: 17910 114.34/112.57 % Time elapsed: 0.500 s 114.34/112.57 % ------------------------------ 114.34/112.57 % ------------------------------ 114.34/112.60 % lrs+1011_7_anc=none:stl=300d:holscev=on:sp=reverse_arity:foolp=on:addc=function_of_input:lma=on:afp=40000:nwc=2.5:holcelim=on:updr=off:add=large:en=on:combelim=inference_rules:amm=off:nm=4:fsr=off:cadd=order:afq=1.4:afr=on:er=known:cunif=on_2 on theBenchmark 114.83/113.07 % Time limit reached! 114.83/113.07 % ------------------------------ 114.83/113.07 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 114.83/113.07 % Termination reason: Time limit 114.83/113.07 % Termination phase: Saturation 114.83/113.07 114.83/113.07 % Memory used [KB]: 16247 114.83/113.07 % Time elapsed: 0.500 s 114.83/113.07 % ------------------------------ 114.83/113.07 % ------------------------------ 114.87/113.10 % lrs-3_4:1_stl=300d:fde=none:holscev=on:sp=reverse_arity:foolp=on:lma=on:urr=on:afp=1000:gs=on:nwc=2.5:holcelim=on:updr=off:lcm=reverse:en=on:combelim=inference_rules:sd=1:amm=off:aup=on:afq=1.4:uhcvi=on:ss=axioms:cunif=on_11 on theBenchmark 114.87/113.11 % Refutation not found, incomplete strategy 114.87/113.11 % ------------------------------ 114.87/113.11 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 114.87/113.11 % Termination reason: Refutation not found, incomplete strategy 114.87/113.11 114.87/113.11 % Memory used [KB]: 10490 114.87/113.11 % Time elapsed: 0.006 s 114.87/113.11 % ------------------------------ 114.87/113.11 % ------------------------------ 114.90/113.14 % lrs+1011_40_anc=none:stl=300d:holscev=on:sp=reverse_arity:foolp=on:lma=on:afp=40000:nwc=1.2:holcelim=on:updr=off:afea=on:cond=on:add=large:combelim=inference_rules:amm=off:nm=4:fsr=off:afq=1.4:afr=on:er=known_2 on theBenchmark 115.35/113.61 % Time limit reached! 115.35/113.61 % ------------------------------ 115.35/113.61 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 115.35/113.61 % Termination reason: Time limit 115.35/113.61 % Termination phase: Saturation 115.35/113.61 115.35/113.61 % Memory used [KB]: 14072 115.35/113.61 % Time elapsed: 0.500 s 115.35/113.61 % ------------------------------ 115.35/113.61 % ------------------------------ 115.35/113.65 % dis+10_4_bsr=on:fde=none:holscev=on:sp=occurrence:foolp=on:lma=on:nwc=4:holcelim=on:cond=fast:lcm=reverse:en=on:combelim=both:av=off:gsp=input_only:er=known:cunif=on_8 on theBenchmark 116.53/114.72 % Time limit reached! 116.53/114.72 % ------------------------------ 116.53/114.72 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 116.53/114.72 % Termination reason: Time limit 116.53/114.72 % Termination phase: Saturation 116.53/114.72 116.53/114.72 % Memory used [KB]: 7291 116.53/114.72 % Time elapsed: 1.100 s 116.53/114.72 % ------------------------------ 116.53/114.72 % ------------------------------ 116.53/114.75 % dis+1011_7_anc=none:stl=300d:holscev=on:sp=reverse_arity:foolp=on:addc=function_of_input:lma=on:afp=1000:nwc=2.5:holcelim=on:updr=off:cond=fast:add=off:combelim=inference_rules:extensionality_max_length=2:amm=off:nm=4:fsr=off:aup=on:afq=1.4:afr=on:er=known_2 on theBenchmark 117.02/115.23 % Time limit reached! 117.02/115.23 % ------------------------------ 117.02/115.23 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 117.02/115.23 % Termination reason: Time limit 117.02/115.23 % Termination phase: Saturation 117.02/115.23 117.02/115.23 % Memory used [KB]: 14711 117.02/115.23 % Time elapsed: 0.500 s 117.02/115.23 % ------------------------------ 117.02/115.23 % ------------------------------ 117.06/115.26 % lrs+1011_7_stl=300d:holscev=on:foolp=on:lma=on:afp=40000:nwc=2.5:holcelim=on:updr=off:afea=on:cond=on:add=large:combelim=inference_rules:bs=on:amm=off:nm=4:fsr=off:aup=on:afq=1.4:afr=on:er=known:cunif=on_2 on theBenchmark 117.51/115.73 % Time limit reached! 117.51/115.73 % ------------------------------ 117.51/115.73 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 117.51/115.73 % Termination reason: Time limit 117.51/115.73 % Termination phase: Saturation 117.51/115.73 117.51/115.73 % Memory used [KB]: 25202 117.51/115.73 % Time elapsed: 0.500 s 117.51/115.73 % ------------------------------ 117.51/115.73 % ------------------------------ 117.58/115.77 % ott+11_16_erd=off:sas=z3:irw=on:holscev=on:sp=reverse_arity:foolp=on:lma=on:gs=on:nwc=1.3:holcelim=on:afea=on:newcnf=on:gsem=on:en=on:nm=64:av=off_16 on theBenchmark 119.34/117.54 % Time limit reached! 119.34/117.54 % ------------------------------ 119.34/117.54 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 119.34/117.54 % Termination reason: Time limit 119.34/117.54 % Termination phase: Saturation 119.34/117.54 119.34/117.54 % Memory used [KB]: 17142 119.34/117.54 % Time elapsed: 1.800 s 119.34/117.54 % ------------------------------ 119.34/117.54 % ------------------------------ 119.34/117.57 % lrs+1011_7_anc=none:stl=300d:holscev=on:foolp=on:lma=on:afp=40000:nwc=2.5:holcelim=on:updr=off:afea=on:cond=on:add=large:combelim=inference_rules:amm=off:nm=4:fsr=off:csl=3:afq=1.4:afr=on:er=known_2 on theBenchmark 119.88/118.07 % Time limit reached! 119.88/118.07 % ------------------------------ 119.88/118.07 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 119.88/118.07 % Termination reason: Time limit 119.88/118.07 % Termination phase: Saturation 119.88/118.07 119.88/118.07 % Memory used [KB]: 15095 119.88/118.07 % Time elapsed: 0.500 s 119.88/118.07 % ------------------------------ 119.88/118.07 % ------------------------------ 119.95/118.10 % ott+1002_8:1_anc=none:sas=z3:e2e=off:holscev=on:sp=occurrence:foolp=on:urr=on:afp=100000:gs=on:nwc=2.5:holcelim=on:updr=off:afea=on:gsem=off:add=off:en=on:combelim=inference_rules:bs=on:amm=off:bd=off:nm=32:fsr=off:aup=on:afq=1.1:afr=on_300 on theBenchmark 126.57/124.67 % Refutation found. Thanks to Tanya! 126.57/124.67 % SZS status Theorem for theBenchmark 126.57/124.67 % SZS output start Proof for theBenchmark 126.57/124.67 2. mnot = ^[X3 : ($i > $o), X2 : $i] : ~(X3 @ X2) [input] 126.57/124.67 3. mor = ^[X3 : ($i > $o), X4 : ($i > $o), X2 : $i] : (X4 @ X2) | (X3 @ X2) [input] 126.57/124.67 8. mand = ^[X3 : ($i > $o), X4 : ($i > $o)] : (mnot @ ((mor @ (mnot @ X3)) @ (mnot @ X4))) [input] 126.57/124.67 9. mimplies = ^[X3 : ($i > $o), X4 : ($i > $o)] : ((mor @ (mnot @ X3)) @ X4) [input] 126.57/124.67 14. mforall_ind = ^[X3 : (mu > ($i > $o)), X2 : $i] : ! [X0 : mu] : (((exists_in_world @ X0) @ X2) => ((X3 @ X0) @ X2)) [input] 126.57/124.67 17. mreflexive = ^[X5 : ($i > ($i > $o))] : ! [X8] : ((X5 @ X8) @ X8) [input] 126.57/124.67 20. mtransitive = ^[X5 : ($i > ($i > $o))] : ! [X8,X9,X10] : ((((X5 @ X9) @ X10) & ((X5 @ X8) @ X9)) => ((X5 @ X8) @ X10)) [input] 126.57/124.67 27. mvalid = ^[X3 : ($i > $o)] : ! [X2] : (X3 @ X2) [input] 126.57/124.67 31. ! [X6] : ? [X0 : mu] : ((exists_in_world @ X0) @ X6) [input] 126.57/124.67 32. mbox_s4 = ^[X3 : ($i > $o), X2 : $i] : ! [X6] : ((X3 @ X6) | ~((rel_s4 @ X2) @ X6)) [input] 126.57/124.67 34. (mtransitive @ rel_s4) [input] 126.57/124.67 35. (mreflexive @ rel_s4) [input] 126.57/124.67 36. ! [X0 : mu,X6,X2] : ((((rel_s4 @ X6) @ X2) & ((exists_in_world @ X0) @ X6)) => ((exists_in_world @ X0) @ X2)) [input] 126.57/124.67 37. (mvalid @ (mbox_s4 @ ((mimplies @ (mbox_s4 @ (mforall_ind @ ^[X0 : mu] : ((mor @ ((mand @ (mbox_s4 @ p)) @ (mbox_s4 @ (big_q @ X0)))) @ ((mand @ (mbox_s4 @ (mnot @ (mbox_s4 @ p)))) @ (mbox_s4 @ (big_r @ X0))))))) @ ((mor @ (mbox_s4 @ (mforall_ind @ ^[X0 : mu] : (mbox_s4 @ (big_q @ X0))))) @ (mbox_s4 @ (mforall_ind @ ^[X0 : mu] : (mbox_s4 @ (big_r @ X0)))))))) [input] 126.57/124.67 38. ~(mvalid @ (mbox_s4 @ ((mimplies @ (mbox_s4 @ (mforall_ind @ ^[X0 : mu] : ((mor @ ((mand @ (mbox_s4 @ p)) @ (mbox_s4 @ (big_q @ X0)))) @ ((mand @ (mbox_s4 @ (mnot @ (mbox_s4 @ p)))) @ (mbox_s4 @ (big_r @ X0))))))) @ ((mor @ (mbox_s4 @ (mforall_ind @ ^[X0 : mu] : (mbox_s4 @ (big_q @ X0))))) @ (mbox_s4 @ (mforall_ind @ ^[X0 : mu] : (mbox_s4 @ (big_r @ X0)))))))) [negated conjecture 37] 126.57/124.67 39. ($false != $true) (TD) [fool axiom] 126.57/124.67 40. ~(mvalid @ (mbox_s4 @ ((mimplies @ (mbox_s4 @ (mforall_ind @ ^[X0 : mu] : ((mor @ ((mand @ (mbox_s4 @ p)) @ (mbox_s4 @ (big_q @ X0)))) @ ((mand @ (mbox_s4 @ (mnot @ (mbox_s4 @ p)))) @ (mbox_s4 @ (big_r @ X0))))))) @ ((mor @ (mbox_s4 @ (mforall_ind @ ^[X1 : mu] : (mbox_s4 @ (big_q @ X1))))) @ (mbox_s4 @ (mforall_ind @ ^[X2 : mu] : (mbox_s4 @ (big_r @ X2)))))))) [rectify 38] 126.57/124.67 41. ~($true = mvalid @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (mforall_ind @ (sCOMB_22 @ (bCOMB_21 @ mor @ (bCOMB_18 @ (mand @ (mbox_s4 @ p)) @ (bCOMB_18 @ mbox_s4 @ big_q))) @ (bCOMB_18 @ (mand @ (mbox_s4 @ (mnot @ (mbox_s4 @ p)))) @ (bCOMB_18 @ mbox_s4 @ big_r))))) @ (mor @ (mbox_s4 @ (mforall_ind @ (bCOMB_18 @ mbox_s4 @ big_q))) @ (mbox_s4 @ (mforall_ind @ (bCOMB_18 @ mbox_s4 @ big_r))))))) [fool elimination 40] 126.57/124.67 78. mvalid = ^[X0 : ($i > $o)] : ! [X1] : (X0 @ X1) [rectify 27] 126.57/124.67 79. mvalid = vPI_16 [fool elimination 78] 126.57/124.67 80. mreflexive = ^[X0 : ($i > ($i > $o))] : ! [X1] : ((X0 @ X1) @ X1) [rectify 17] 126.57/124.67 81. mreflexive = bCOMB_81 @ vPI_16 @ (cCOMB_142 @ sCOMB_140 @ iCOMB_138) [fool elimination 80] 126.57/124.67 82. mtransitive = ^[X0 : ($i > ($i > $o))] : ! [X1,X2,X3] : ((((X0 @ X2) @ X3) & ((X0 @ X1) @ X2)) => ((X0 @ X1) @ X3)) [rectify 20] 126.57/124.67 83. mtransitive = bCOMB_121 @ vPI_102 @ (sCOMB_113 @ (bCOMB_111 @ sCOMB_95 @ (bCOMB_109 @ (bCOMB_94 @ cCOMB_87) @ (bCOMB_117 @ (bCOMB_99 @ (bCOMB_53 @ sCOMB_41)) @ (bCOMB_115 @ (bCOMB_97 @ (bCOMB_51 @ (bCOMB_40 @ vIMP_37))) @ (sCOMB_113 @ (bCOMB_69 @ cCOMB_57 @ (bCOMB_119 @ (bCOMB_101 @ sCOMB_60) @ (bCOMB_107 @ (bCOMB_92 @ (bCOMB_85 @ bCOMB_34)) @ (bCOMB_51 @ (bCOMB_40 @ vAND_37))))) @ iCOMB_42))))) @ iCOMB_42) [fool elimination 82] 126.57/124.67 92. mand = ^[X0 : ($i > $o), X1 : ($i > $o)] : (mnot @ ((mor @ (mnot @ X0)) @ (mnot @ X1))) [rectify 8] 126.57/124.67 93. mand = bCOMB_126 @ (bCOMB_24 @ mnot) @ (cCOMB_168 @ (bCOMB_167 @ bCOMB_24 @ (bCOMB_135 @ mor @ mnot)) @ mnot) [fool elimination 92] 126.57/124.67 94. mimplies = ^[X0 : ($i > $o), X1 : ($i > $o)] : ((mor @ (mnot @ X0)) @ X1) [rectify 9] 126.57/124.67 95. mimplies = bCOMB_135 @ mor @ mnot [fool elimination 94] 126.57/124.67 96. mforall_ind = ^[X0 : (mu > ($i > $o)), X1 : $i] : ! [X2 : mu] : (((exists_in_world @ X2) @ X1) => ((X0 @ X2) @ X1)) [rectify 14] 126.57/124.67 97. mforall_ind = bCOMB_191 @ (bCOMB_187 @ vPI_177) @ (bCOMB_189 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world)))) @ cCOMB_171) [fool elimination 96] 126.57/124.67 98. mor = ^[X0 : ($i > $o), X1 : ($i > $o), X2 : $i] : (X1 @ X2) | (X0 @ X2) [rectify 3] 126.57/124.67 99. mor = bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37) [fool elimination 98] 126.57/124.67 100. mbox_s4 = ^[X0 : ($i > $o), X1 : $i] : ! [X2] : ((X0 @ X2) | ~((rel_s4 @ X1) @ X2)) [rectify 32] 126.57/124.67 101. mbox_s4 = bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4)))) [fool elimination 100] 126.57/124.67 102. mnot = ^[X0 : ($i > $o), X1 : $i] : ~(X0 @ X1) [rectify 2] 126.57/124.67 103. mnot = bCOMB_34 @ vNOT_33 [fool elimination 102] 126.57/124.67 104. ! [X0] : ? [X1 : mu] : ((exists_in_world @ X1) @ X0) [rectify 31] 126.57/124.67 105. ! [X0] : ? [X1 : mu] : ($true = exists_in_world @ X1 @ X0) [fool elimination 104] 126.57/124.67 106. ! [X0 : mu,X1,X2] : ((((rel_s4 @ X1) @ X2) & ((exists_in_world @ X0) @ X1)) => ((exists_in_world @ X0) @ X2)) [rectify 36] 126.57/124.67 107. ! [X0 : mu,X1,X2] : ((($true = rel_s4 @ X1 @ X2) & ($true = exists_in_world @ X0 @ X1)) => ($true = exists_in_world @ X0 @ X2)) [fool elimination 106] 126.57/124.67 108. (mreflexive @ rel_s4) [rectify 35] 126.57/124.67 109. ($true = mreflexive @ rel_s4) [fool elimination 108] 126.57/124.67 110. (mtransitive @ rel_s4) [rectify 34] 126.57/124.67 111. ($true = mtransitive @ rel_s4) [fool elimination 110] 126.57/124.67 112. ! [X0 : ($i > $o),X1 : ($i > $o)] : (! [X2] : (X0 @ X2 = X1 @ X2) => X0 = X1) [functional extensionality axiom] 126.57/124.67 122. ! [X0 : (($i > $o) > $o),X1 : (($i > $o) > $o)] : (! [X2 : ($i > $o)] : (X0 @ X2 = X1 @ X2) => X0 = X1) [functional extensionality axiom] 126.57/124.67 123. ($true != mvalid @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (mforall_ind @ (sCOMB_22 @ (bCOMB_21 @ mor @ (bCOMB_18 @ (mand @ (mbox_s4 @ p)) @ (bCOMB_18 @ mbox_s4 @ big_q))) @ (bCOMB_18 @ (mand @ (mbox_s4 @ (mnot @ (mbox_s4 @ p)))) @ (bCOMB_18 @ mbox_s4 @ big_r))))) @ (mor @ (mbox_s4 @ (mforall_ind @ (bCOMB_18 @ mbox_s4 @ big_q))) @ (mbox_s4 @ (mforall_ind @ (bCOMB_18 @ mbox_s4 @ big_r))))))) [flattening 41] 126.57/124.67 124. ! [X0 : (($i > $o) > $o),X1 : (($i > $o) > $o)] : (X0 = X1 | ? [X2 : ($i > $o)] : (X0 @ X2 != X1 @ X2)) [ennf transformation 122] 126.57/124.67 134. ! [X0 : ($i > $o),X1 : ($i > $o)] : (X0 = X1 | ? [X2] : (X0 @ X2 != X1 @ X2)) [ennf transformation 112] 126.57/124.67 135. ! [X0 : mu,X1,X2] : (($true = exists_in_world @ X0 @ X2) | (($true != rel_s4 @ X1 @ X2) | ($true != exists_in_world @ X0 @ X1))) [ennf transformation 107] 126.57/124.67 136. ! [X0 : mu,X1,X2] : (($true = exists_in_world @ X0 @ X2) | ($true != rel_s4 @ X1 @ X2) | ($true != exists_in_world @ X0 @ X1)) [flattening 135] 126.57/124.67 137. ! [X1 : (($i > $o) > $o),X0 : (($i > $o) > $o)] : (? [X2 : ($i > $o)] : (X0 @ X2 != X1 @ X2) => (X0 @ (sK0 @ X1 @ X0) != X1 @ (sK0 @ X1 @ X0))) [choice axiom] 126.57/124.67 138. ! [X0 : (($i > $o) > $o),X1 : (($i > $o) > $o)] : (X0 = X1 | (X0 @ (sK0 @ X1 @ X0) != X1 @ (sK0 @ X1 @ X0))) [skolemisation 124,137] 126.57/124.67 157. ! [X1 : ($i > $o),X0 : ($i > $o)] : (? [X2] : (X0 @ X2 != X1 @ X2) => (X0 @ (sK10 @ X1 @ X0) != X1 @ (sK10 @ X1 @ X0))) [choice axiom] 126.57/124.67 158. ! [X0 : ($i > $o),X1 : ($i > $o)] : (X0 = X1 | (X0 @ (sK10 @ X1 @ X0) != X1 @ (sK10 @ X1 @ X0))) [skolemisation 134,157] 126.57/124.67 159. ! [X0] : (? [X1 : mu] : ($true = exists_in_world @ X1 @ X0) => ($true = exists_in_world @ (sK11 @ X0) @ X0)) [choice axiom] 126.57/124.67 160. ! [X0] : ($true = exists_in_world @ (sK11 @ X0) @ X0) [skolemisation 105,159] 126.57/124.67 161. (X0 @ (sK0 @ X1 @ X0) != X1 @ (sK0 @ X1 @ X0)) | X0 = X1 [cnf transformation 138] 126.57/124.67 171. (X0 @ (sK10 @ X1 @ X0) != X1 @ (sK10 @ X1 @ X0)) | X0 = X1 [cnf transformation 158] 126.57/124.67 172. ($true != mvalid @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (mforall_ind @ (sCOMB_22 @ (bCOMB_21 @ mor @ (bCOMB_18 @ (mand @ (mbox_s4 @ p)) @ (bCOMB_18 @ mbox_s4 @ big_q))) @ (bCOMB_18 @ (mand @ (mbox_s4 @ (mnot @ (mbox_s4 @ p)))) @ (bCOMB_18 @ mbox_s4 @ big_r))))) @ (mor @ (mbox_s4 @ (mforall_ind @ (bCOMB_18 @ mbox_s4 @ big_q))) @ (mbox_s4 @ (mforall_ind @ (bCOMB_18 @ mbox_s4 @ big_r))))))) [cnf transformation 123] 126.57/124.67 192. mvalid = vPI_16 [cnf transformation 79] 126.57/124.67 193. mreflexive = bCOMB_81 @ vPI_16 @ (cCOMB_142 @ sCOMB_140 @ iCOMB_138) [cnf transformation 81] 126.57/124.67 194. mtransitive = bCOMB_121 @ vPI_102 @ (sCOMB_113 @ (bCOMB_111 @ sCOMB_95 @ (bCOMB_109 @ (bCOMB_94 @ cCOMB_87) @ (bCOMB_117 @ (bCOMB_99 @ (bCOMB_53 @ sCOMB_41)) @ (bCOMB_115 @ (bCOMB_97 @ (bCOMB_51 @ (bCOMB_40 @ vIMP_37))) @ (sCOMB_113 @ (bCOMB_69 @ cCOMB_57 @ (bCOMB_119 @ (bCOMB_101 @ sCOMB_60) @ (bCOMB_107 @ (bCOMB_92 @ (bCOMB_85 @ bCOMB_34)) @ (bCOMB_51 @ (bCOMB_40 @ vAND_37))))) @ iCOMB_42))))) @ iCOMB_42) [cnf transformation 83] 126.57/124.67 199. mand = bCOMB_126 @ (bCOMB_24 @ mnot) @ (cCOMB_168 @ (bCOMB_167 @ bCOMB_24 @ (bCOMB_135 @ mor @ mnot)) @ mnot) [cnf transformation 93] 126.57/124.67 200. mimplies = bCOMB_135 @ mor @ mnot [cnf transformation 95] 126.57/124.67 201. mforall_ind = bCOMB_191 @ (bCOMB_187 @ vPI_177) @ (bCOMB_189 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world)))) @ cCOMB_171) [cnf transformation 97] 126.57/124.67 202. mor = bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37) [cnf transformation 99] 126.57/124.67 203. mbox_s4 = bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4)))) [cnf transformation 101] 126.57/124.67 204. mnot = bCOMB_34 @ vNOT_33 [cnf transformation 103] 126.57/124.67 205. ($true = exists_in_world @ (sK11 @ X0) @ X0) [cnf transformation 160] 126.57/124.67 206. ($true = exists_in_world @ X0 @ X2) | ($true != rel_s4 @ X1 @ X2) | ($true != exists_in_world @ X0 @ X1) [cnf transformation 136] 126.57/124.67 207. ($true = mreflexive @ rel_s4) [cnf transformation 109] 126.57/124.67 208. ($true = mtransitive @ rel_s4) [cnf transformation 111] 126.57/124.67 210. mand = bCOMB_126 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33)) @ (cCOMB_168 @ (bCOMB_167 @ bCOMB_24 @ (bCOMB_135 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_34 @ vNOT_33)) [definition unfolding 199,204,202,204,204] 126.57/124.67 211. mimplies = bCOMB_135 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_34 @ vNOT_33) [definition unfolding 200,202,204] 126.57/124.68 219. ($true != vPI_16 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4)))) @ (bCOMB_135 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_34 @ vNOT_33) @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4)))) @ (bCOMB_191 @ (bCOMB_187 @ vPI_177) @ (bCOMB_189 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world)))) @ cCOMB_171) @ (sCOMB_22 @ (bCOMB_21 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_18 @ (bCOMB_126 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33)) @ (cCOMB_168 @ (bCOMB_167 @ bCOMB_24 @ (bCOMB_135 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_34 @ vNOT_33)) @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4)))) @ p)) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q))) @ (bCOMB_18 @ (bCOMB_126 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33)) @ (cCOMB_168 @ (bCOMB_167 @ bCOMB_24 @ (bCOMB_135 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_34 @ vNOT_33)) @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4)))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4)))) @ p)))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r))))) @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37) @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4)))) @ (bCOMB_191 @ (bCOMB_187 @ vPI_177) @ (bCOMB_189 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world)))) @ cCOMB_171) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q))) @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4)))) @ (bCOMB_191 @ (bCOMB_187 @ vPI_177) @ (bCOMB_189 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world)))) @ cCOMB_171) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r))))))) [definition unfolding 172,192,203,211,203,201,202,210,203,203,210,203,204,203,203,202,203,201,203,203,201,203] 126.57/124.68 220. ($true = bCOMB_81 @ vPI_16 @ (cCOMB_142 @ sCOMB_140 @ iCOMB_138) @ rel_s4) [definition unfolding 207,193] 126.57/124.68 221. ($true = bCOMB_121 @ vPI_102 @ (sCOMB_113 @ (bCOMB_111 @ sCOMB_95 @ (bCOMB_109 @ (bCOMB_94 @ cCOMB_87) @ (bCOMB_117 @ (bCOMB_99 @ (bCOMB_53 @ sCOMB_41)) @ (bCOMB_115 @ (bCOMB_97 @ (bCOMB_51 @ (bCOMB_40 @ vIMP_37))) @ (sCOMB_113 @ (bCOMB_69 @ cCOMB_57 @ (bCOMB_119 @ (bCOMB_101 @ sCOMB_60) @ (bCOMB_107 @ (bCOMB_92 @ (bCOMB_85 @ bCOMB_34)) @ (bCOMB_51 @ (bCOMB_40 @ vAND_37))))) @ iCOMB_42))))) @ iCOMB_42) @ rel_s4) [definition unfolding 208,194] 126.57/124.68 222. ($true = vPI_102 @ (sCOMB_113 @ (bCOMB_111 @ sCOMB_95 @ (bCOMB_109 @ (bCOMB_94 @ cCOMB_87) @ (bCOMB_117 @ (bCOMB_99 @ (bCOMB_53 @ sCOMB_41)) @ (bCOMB_115 @ (bCOMB_97 @ (bCOMB_51 @ (bCOMB_40 @ vIMP_37))) @ (sCOMB_113 @ (bCOMB_69 @ cCOMB_57 @ (bCOMB_119 @ (bCOMB_101 @ sCOMB_60) @ (bCOMB_107 @ (bCOMB_92 @ (bCOMB_85 @ bCOMB_34)) @ (bCOMB_51 @ (bCOMB_40 @ vAND_37))))) @ iCOMB_42))))) @ iCOMB_42 @ rel_s4)) [B combinator elimination 221] 126.57/124.68 223. ($true = vPI_102 @ (bCOMB_111 @ sCOMB_95 @ (bCOMB_109 @ (bCOMB_94 @ cCOMB_87) @ (bCOMB_117 @ (bCOMB_99 @ (bCOMB_53 @ sCOMB_41)) @ (bCOMB_115 @ (bCOMB_97 @ (bCOMB_51 @ (bCOMB_40 @ vIMP_37))) @ (sCOMB_113 @ (bCOMB_69 @ cCOMB_57 @ (bCOMB_119 @ (bCOMB_101 @ sCOMB_60) @ (bCOMB_107 @ (bCOMB_92 @ (bCOMB_85 @ bCOMB_34)) @ (bCOMB_51 @ (bCOMB_40 @ vAND_37))))) @ iCOMB_42)))) @ rel_s4 @ (iCOMB_42 @ rel_s4))) [S combinator elimination 222] 126.57/124.68 224. ($true = vPI_102 @ (bCOMB_111 @ sCOMB_95 @ (bCOMB_109 @ (bCOMB_94 @ cCOMB_87) @ (bCOMB_117 @ (bCOMB_99 @ (bCOMB_53 @ sCOMB_41)) @ (bCOMB_115 @ (bCOMB_97 @ (bCOMB_51 @ (bCOMB_40 @ vIMP_37))) @ (sCOMB_113 @ (bCOMB_69 @ cCOMB_57 @ (bCOMB_119 @ (bCOMB_101 @ sCOMB_60) @ (bCOMB_107 @ (bCOMB_92 @ (bCOMB_85 @ bCOMB_34)) @ (bCOMB_51 @ (bCOMB_40 @ vAND_37))))) @ iCOMB_42)))) @ rel_s4 @ rel_s4)) [I combinator elimination 223] 126.57/124.68 225. ($true = vPI_102 @ (sCOMB_95 @ (bCOMB_109 @ (bCOMB_94 @ cCOMB_87) @ (bCOMB_117 @ (bCOMB_99 @ (bCOMB_53 @ sCOMB_41)) @ (bCOMB_115 @ (bCOMB_97 @ (bCOMB_51 @ (bCOMB_40 @ vIMP_37))) @ (sCOMB_113 @ (bCOMB_69 @ cCOMB_57 @ (bCOMB_119 @ (bCOMB_101 @ sCOMB_60) @ (bCOMB_107 @ (bCOMB_92 @ (bCOMB_85 @ bCOMB_34)) @ (bCOMB_51 @ (bCOMB_40 @ vAND_37))))) @ iCOMB_42))) @ rel_s4) @ rel_s4)) [B combinator elimination 224] 126.57/124.68 226. ($true = vPI_102 @ (sCOMB_95 @ (bCOMB_94 @ cCOMB_87 @ (bCOMB_117 @ (bCOMB_99 @ (bCOMB_53 @ sCOMB_41)) @ (bCOMB_115 @ (bCOMB_97 @ (bCOMB_51 @ (bCOMB_40 @ vIMP_37))) @ (sCOMB_113 @ (bCOMB_69 @ cCOMB_57 @ (bCOMB_119 @ (bCOMB_101 @ sCOMB_60) @ (bCOMB_107 @ (bCOMB_92 @ (bCOMB_85 @ bCOMB_34)) @ (bCOMB_51 @ (bCOMB_40 @ vAND_37))))) @ iCOMB_42)) @ rel_s4)) @ rel_s4)) [B combinator elimination 225] 126.57/124.68 227. ($true = vPI_102 @ (sCOMB_95 @ (bCOMB_94 @ cCOMB_87 @ (bCOMB_99 @ (bCOMB_53 @ sCOMB_41) @ (bCOMB_115 @ (bCOMB_97 @ (bCOMB_51 @ (bCOMB_40 @ vIMP_37))) @ (sCOMB_113 @ (bCOMB_69 @ cCOMB_57 @ (bCOMB_119 @ (bCOMB_101 @ sCOMB_60) @ (bCOMB_107 @ (bCOMB_92 @ (bCOMB_85 @ bCOMB_34)) @ (bCOMB_51 @ (bCOMB_40 @ vAND_37))))) @ iCOMB_42) @ rel_s4))) @ rel_s4)) [B combinator elimination 226] 126.57/124.68 228. ($true = vPI_102 @ (sCOMB_95 @ (bCOMB_94 @ cCOMB_87 @ (bCOMB_99 @ (bCOMB_53 @ sCOMB_41) @ (bCOMB_97 @ (bCOMB_51 @ (bCOMB_40 @ vIMP_37)) @ (sCOMB_113 @ (bCOMB_69 @ cCOMB_57 @ (bCOMB_119 @ (bCOMB_101 @ sCOMB_60) @ (bCOMB_107 @ (bCOMB_92 @ (bCOMB_85 @ bCOMB_34)) @ (bCOMB_51 @ (bCOMB_40 @ vAND_37))))) @ iCOMB_42 @ rel_s4)))) @ rel_s4)) [B combinator elimination 227] 126.57/124.68 229. ($true = vPI_102 @ (sCOMB_95 @ (bCOMB_94 @ cCOMB_87 @ (bCOMB_99 @ (bCOMB_53 @ sCOMB_41) @ (bCOMB_97 @ (bCOMB_51 @ (bCOMB_40 @ vIMP_37)) @ (bCOMB_69 @ cCOMB_57 @ (bCOMB_119 @ (bCOMB_101 @ sCOMB_60) @ (bCOMB_107 @ (bCOMB_92 @ (bCOMB_85 @ bCOMB_34)) @ (bCOMB_51 @ (bCOMB_40 @ vAND_37)))) @ rel_s4 @ (iCOMB_42 @ rel_s4))))) @ rel_s4)) [S combinator elimination 228] 126.57/124.68 230. ($true = vPI_102 @ (sCOMB_95 @ (bCOMB_94 @ cCOMB_87 @ (bCOMB_99 @ (bCOMB_53 @ sCOMB_41) @ (bCOMB_97 @ (bCOMB_51 @ (bCOMB_40 @ vIMP_37)) @ (bCOMB_69 @ cCOMB_57 @ (bCOMB_119 @ (bCOMB_101 @ sCOMB_60) @ (bCOMB_107 @ (bCOMB_92 @ (bCOMB_85 @ bCOMB_34)) @ (bCOMB_51 @ (bCOMB_40 @ vAND_37)))) @ rel_s4 @ rel_s4)))) @ rel_s4)) [I combinator elimination 229] 126.57/124.68 231. ($true = vPI_102 @ (sCOMB_95 @ (bCOMB_94 @ cCOMB_87 @ (bCOMB_99 @ (bCOMB_53 @ sCOMB_41) @ (bCOMB_97 @ (bCOMB_51 @ (bCOMB_40 @ vIMP_37)) @ (cCOMB_57 @ (bCOMB_119 @ (bCOMB_101 @ sCOMB_60) @ (bCOMB_107 @ (bCOMB_92 @ (bCOMB_85 @ bCOMB_34)) @ (bCOMB_51 @ (bCOMB_40 @ vAND_37))) @ rel_s4) @ rel_s4)))) @ rel_s4)) [B combinator elimination 230] 126.57/124.68 232. ($true = vPI_102 @ (sCOMB_95 @ (bCOMB_94 @ cCOMB_87 @ (bCOMB_99 @ (bCOMB_53 @ sCOMB_41) @ (bCOMB_97 @ (bCOMB_51 @ (bCOMB_40 @ vIMP_37)) @ (cCOMB_57 @ (bCOMB_101 @ sCOMB_60 @ (bCOMB_107 @ (bCOMB_92 @ (bCOMB_85 @ bCOMB_34)) @ (bCOMB_51 @ (bCOMB_40 @ vAND_37)) @ rel_s4)) @ rel_s4)))) @ rel_s4)) [B combinator elimination 231] 126.57/124.68 233. ($true = vPI_102 @ (sCOMB_95 @ (bCOMB_94 @ cCOMB_87 @ (bCOMB_99 @ (bCOMB_53 @ sCOMB_41) @ (bCOMB_97 @ (bCOMB_51 @ (bCOMB_40 @ vIMP_37)) @ (cCOMB_57 @ (bCOMB_101 @ sCOMB_60 @ (bCOMB_92 @ (bCOMB_85 @ bCOMB_34) @ (bCOMB_51 @ (bCOMB_40 @ vAND_37) @ rel_s4))) @ rel_s4)))) @ rel_s4)) [B combinator elimination 232] 126.57/124.68 234. ($true = sCOMB_95 @ (bCOMB_94 @ cCOMB_87 @ (bCOMB_99 @ (bCOMB_53 @ sCOMB_41) @ (bCOMB_97 @ (bCOMB_51 @ (bCOMB_40 @ vIMP_37)) @ (cCOMB_57 @ (bCOMB_101 @ sCOMB_60 @ (bCOMB_92 @ (bCOMB_85 @ bCOMB_34) @ (bCOMB_51 @ (bCOMB_40 @ vAND_37) @ rel_s4))) @ rel_s4)))) @ rel_s4 @ X1 @ X2 @ X3) [HOL PI constant elimination 233] 126.57/124.68 235. ($true = bCOMB_94 @ cCOMB_87 @ (bCOMB_99 @ (bCOMB_53 @ sCOMB_41) @ (bCOMB_97 @ (bCOMB_51 @ (bCOMB_40 @ vIMP_37)) @ (cCOMB_57 @ (bCOMB_101 @ sCOMB_60 @ (bCOMB_92 @ (bCOMB_85 @ bCOMB_34) @ (bCOMB_51 @ (bCOMB_40 @ vAND_37) @ rel_s4))) @ rel_s4))) @ X1 @ (rel_s4 @ X1) @ X2 @ X3) [S combinator elimination 234] 126.57/124.68 236. ($true = cCOMB_87 @ (bCOMB_99 @ (bCOMB_53 @ sCOMB_41) @ (bCOMB_97 @ (bCOMB_51 @ (bCOMB_40 @ vIMP_37)) @ (cCOMB_57 @ (bCOMB_101 @ sCOMB_60 @ (bCOMB_92 @ (bCOMB_85 @ bCOMB_34) @ (bCOMB_51 @ (bCOMB_40 @ vAND_37) @ rel_s4))) @ rel_s4)) @ X1) @ (rel_s4 @ X1) @ X2 @ X3) [B combinator elimination 235] 126.57/124.68 237. ($true = bCOMB_99 @ (bCOMB_53 @ sCOMB_41) @ (bCOMB_97 @ (bCOMB_51 @ (bCOMB_40 @ vIMP_37)) @ (cCOMB_57 @ (bCOMB_101 @ sCOMB_60 @ (bCOMB_92 @ (bCOMB_85 @ bCOMB_34) @ (bCOMB_51 @ (bCOMB_40 @ vAND_37) @ rel_s4))) @ rel_s4)) @ X1 @ X2 @ (rel_s4 @ X1) @ X3) [C combinator elimination 236] 126.57/124.68 238. ($true = bCOMB_53 @ sCOMB_41 @ (bCOMB_97 @ (bCOMB_51 @ (bCOMB_40 @ vIMP_37)) @ (cCOMB_57 @ (bCOMB_101 @ sCOMB_60 @ (bCOMB_92 @ (bCOMB_85 @ bCOMB_34) @ (bCOMB_51 @ (bCOMB_40 @ vAND_37) @ rel_s4))) @ rel_s4) @ X1) @ X2 @ (rel_s4 @ X1) @ X3) [B combinator elimination 237] 126.57/124.68 239. ($true = sCOMB_41 @ (bCOMB_97 @ (bCOMB_51 @ (bCOMB_40 @ vIMP_37)) @ (cCOMB_57 @ (bCOMB_101 @ sCOMB_60 @ (bCOMB_92 @ (bCOMB_85 @ bCOMB_34) @ (bCOMB_51 @ (bCOMB_40 @ vAND_37) @ rel_s4))) @ rel_s4) @ X1 @ X2) @ (rel_s4 @ X1) @ X3) [B combinator elimination 238] 126.57/124.68 240. ($true = bCOMB_97 @ (bCOMB_51 @ (bCOMB_40 @ vIMP_37)) @ (cCOMB_57 @ (bCOMB_101 @ sCOMB_60 @ (bCOMB_92 @ (bCOMB_85 @ bCOMB_34) @ (bCOMB_51 @ (bCOMB_40 @ vAND_37) @ rel_s4))) @ rel_s4) @ X1 @ X2 @ X3 @ (rel_s4 @ X1 @ X3)) [S combinator elimination 239] 126.57/124.68 241. ($true = bCOMB_51 @ (bCOMB_40 @ vIMP_37) @ (cCOMB_57 @ (bCOMB_101 @ sCOMB_60 @ (bCOMB_92 @ (bCOMB_85 @ bCOMB_34) @ (bCOMB_51 @ (bCOMB_40 @ vAND_37) @ rel_s4))) @ rel_s4 @ X1) @ X2 @ X3 @ (rel_s4 @ X1 @ X3)) [B combinator elimination 240] 126.57/124.68 242. ($true = bCOMB_40 @ vIMP_37 @ (cCOMB_57 @ (bCOMB_101 @ sCOMB_60 @ (bCOMB_92 @ (bCOMB_85 @ bCOMB_34) @ (bCOMB_51 @ (bCOMB_40 @ vAND_37) @ rel_s4))) @ rel_s4 @ X1 @ X2) @ X3 @ (rel_s4 @ X1 @ X3)) [B combinator elimination 241] 126.57/124.68 243. ($true = vIMP_37 @ (cCOMB_57 @ (bCOMB_101 @ sCOMB_60 @ (bCOMB_92 @ (bCOMB_85 @ bCOMB_34) @ (bCOMB_51 @ (bCOMB_40 @ vAND_37) @ rel_s4))) @ rel_s4 @ X1 @ X2 @ X3) @ (rel_s4 @ X1 @ X3)) [B combinator elimination 242] 126.57/124.68 244. ($true = vIMP_37 @ (bCOMB_101 @ sCOMB_60 @ (bCOMB_92 @ (bCOMB_85 @ bCOMB_34) @ (bCOMB_51 @ (bCOMB_40 @ vAND_37) @ rel_s4)) @ X1 @ rel_s4 @ X2 @ X3) @ (rel_s4 @ X1 @ X3)) [C combinator elimination 243] 126.57/124.68 245. ($true = vIMP_37 @ (sCOMB_60 @ (bCOMB_92 @ (bCOMB_85 @ bCOMB_34) @ (bCOMB_51 @ (bCOMB_40 @ vAND_37) @ rel_s4) @ X1) @ rel_s4 @ X2 @ X3) @ (rel_s4 @ X1 @ X3)) [B combinator elimination 244] 126.57/124.68 246. ($true = vIMP_37 @ (bCOMB_92 @ (bCOMB_85 @ bCOMB_34) @ (bCOMB_51 @ (bCOMB_40 @ vAND_37) @ rel_s4) @ X1 @ X2 @ (rel_s4 @ X2) @ X3) @ (rel_s4 @ X1 @ X3)) [S combinator elimination 245] 126.57/124.68 247. ($true = vIMP_37 @ (bCOMB_85 @ bCOMB_34 @ (bCOMB_51 @ (bCOMB_40 @ vAND_37) @ rel_s4 @ X1) @ X2 @ (rel_s4 @ X2) @ X3) @ (rel_s4 @ X1 @ X3)) [B combinator elimination 246] 126.57/124.68 248. ($true = vIMP_37 @ (bCOMB_34 @ (bCOMB_51 @ (bCOMB_40 @ vAND_37) @ rel_s4 @ X1 @ X2) @ (rel_s4 @ X2) @ X3) @ (rel_s4 @ X1 @ X3)) [B combinator elimination 247] 126.57/124.68 249. ($true = vIMP_37 @ (bCOMB_51 @ (bCOMB_40 @ vAND_37) @ rel_s4 @ X1 @ X2 @ (rel_s4 @ X2 @ X3)) @ (rel_s4 @ X1 @ X3)) [B combinator elimination 248] 126.57/124.68 250. ($true = vIMP_37 @ (bCOMB_40 @ vAND_37 @ (rel_s4 @ X1) @ X2 @ (rel_s4 @ X2 @ X3)) @ (rel_s4 @ X1 @ X3)) [B combinator elimination 249] 126.57/124.68 251. ($true = vIMP_37 @ (vAND_37 @ (rel_s4 @ X1 @ X2) @ (rel_s4 @ X2 @ X3)) @ (rel_s4 @ X1 @ X3)) [B combinator elimination 250] 126.57/124.68 252. ($false = vAND_37 @ (rel_s4 @ X1 @ X2) @ (rel_s4 @ X2 @ X3)) | ($true = rel_s4 @ X1 @ X3) [HOL binary constant elimination 251] 126.57/124.68 253. ($true = rel_s4 @ X1 @ X3) | ($false = rel_s4 @ X1 @ X2) | ($false = rel_s4 @ X2 @ X3) [HOL binary constant elimination 252] 126.57/124.68 254. ($true = vPI_16 @ (cCOMB_142 @ sCOMB_140 @ iCOMB_138 @ rel_s4)) [B combinator elimination 220] 126.57/124.68 255. ($true = vPI_16 @ (sCOMB_140 @ rel_s4 @ iCOMB_138)) [C combinator elimination 254] 126.57/124.68 256. ($true = sCOMB_140 @ rel_s4 @ iCOMB_138 @ X1) [HOL PI constant elimination 255] 126.57/124.68 257. ($true = rel_s4 @ X1 @ (iCOMB_138 @ X1)) [S combinator elimination 256] 126.57/124.68 258. ($true = rel_s4 @ X1 @ X1) [I combinator elimination 257] 126.57/124.68 259. ($true != vPI_16 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_135 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_34 @ vNOT_33) @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4)))) @ (bCOMB_191 @ (bCOMB_187 @ vPI_177) @ (bCOMB_189 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world)))) @ cCOMB_171) @ (sCOMB_22 @ (bCOMB_21 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_18 @ (bCOMB_126 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33)) @ (cCOMB_168 @ (bCOMB_167 @ bCOMB_24 @ (bCOMB_135 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_34 @ vNOT_33)) @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4)))) @ p)) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q))) @ (bCOMB_18 @ (bCOMB_126 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33)) @ (cCOMB_168 @ (bCOMB_167 @ bCOMB_24 @ (bCOMB_135 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_34 @ vNOT_33)) @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4)))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4)))) @ p)))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r))))) @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37) @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4)))) @ (bCOMB_191 @ (bCOMB_187 @ vPI_177) @ (bCOMB_189 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world)))) @ cCOMB_171) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q))) @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4)))) @ (bCOMB_191 @ (bCOMB_187 @ vPI_177) @ (bCOMB_189 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world)))) @ cCOMB_171) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r)))))))) [B combinator elimination 219] 126.57/124.68 260. ($true != vPI_16 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_135 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_34 @ vNOT_33) @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4)))) @ (bCOMB_191 @ (bCOMB_187 @ vPI_177) @ (bCOMB_189 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world)))) @ cCOMB_171) @ (sCOMB_22 @ (bCOMB_21 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_18 @ (bCOMB_126 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33)) @ (cCOMB_168 @ (bCOMB_167 @ bCOMB_24 @ (bCOMB_135 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_34 @ vNOT_33)) @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4)))) @ p)) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q))) @ (bCOMB_18 @ (bCOMB_126 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33)) @ (cCOMB_168 @ (bCOMB_167 @ bCOMB_24 @ (bCOMB_135 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_34 @ vNOT_33)) @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4)))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4)))) @ p)))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r))))) @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37) @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4)))) @ (bCOMB_191 @ (bCOMB_187 @ vPI_177) @ (bCOMB_189 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world)))) @ cCOMB_171) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q))) @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_191 @ (bCOMB_187 @ vPI_177) @ (bCOMB_189 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world)))) @ cCOMB_171) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r))))))))) [B combinator elimination 259] 126.57/124.68 261. ($true != vPI_16 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_135 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_34 @ vNOT_33) @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4)))) @ (bCOMB_191 @ (bCOMB_187 @ vPI_177) @ (bCOMB_189 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world)))) @ cCOMB_171) @ (sCOMB_22 @ (bCOMB_21 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_18 @ (bCOMB_126 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33)) @ (cCOMB_168 @ (bCOMB_167 @ bCOMB_24 @ (bCOMB_135 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_34 @ vNOT_33)) @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4)))) @ p)) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q))) @ (bCOMB_18 @ (bCOMB_126 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33)) @ (cCOMB_168 @ (bCOMB_167 @ bCOMB_24 @ (bCOMB_135 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_34 @ vNOT_33)) @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4)))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4)))) @ p)))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r))))) @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37) @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4)))) @ (bCOMB_191 @ (bCOMB_187 @ vPI_177) @ (bCOMB_189 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world)))) @ cCOMB_171) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q))) @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_187 @ vPI_177 @ (bCOMB_189 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world)))) @ cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r)))))))))) [B combinator elimination 260] 126.57/124.68 262. ($true != vPI_16 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_135 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_34 @ vNOT_33) @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4)))) @ (bCOMB_191 @ (bCOMB_187 @ vPI_177) @ (bCOMB_189 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world)))) @ cCOMB_171) @ (sCOMB_22 @ (bCOMB_21 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_18 @ (bCOMB_126 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33)) @ (cCOMB_168 @ (bCOMB_167 @ bCOMB_24 @ (bCOMB_135 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_34 @ vNOT_33)) @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4)))) @ p)) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q))) @ (bCOMB_18 @ (bCOMB_126 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33)) @ (cCOMB_168 @ (bCOMB_167 @ bCOMB_24 @ (bCOMB_135 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_34 @ vNOT_33)) @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4)))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4)))) @ p)))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r))))) @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37) @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4)))) @ (bCOMB_191 @ (bCOMB_187 @ vPI_177) @ (bCOMB_189 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world)))) @ cCOMB_171) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q))) @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r))))))))))) [B combinator elimination 261] 126.57/124.68 263. ($true != vPI_16 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_135 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_34 @ vNOT_33) @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4)))) @ (bCOMB_191 @ (bCOMB_187 @ vPI_177) @ (bCOMB_189 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world)))) @ cCOMB_171) @ (sCOMB_22 @ (bCOMB_21 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_18 @ (bCOMB_126 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33)) @ (cCOMB_168 @ (bCOMB_167 @ bCOMB_24 @ (bCOMB_135 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_34 @ vNOT_33)) @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4)))) @ p)) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q))) @ (bCOMB_18 @ (bCOMB_126 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33)) @ (cCOMB_168 @ (bCOMB_167 @ bCOMB_24 @ (bCOMB_135 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_34 @ vNOT_33)) @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4)))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4)))) @ p)))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r))))) @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4)))) @ (bCOMB_191 @ (bCOMB_187 @ vPI_177) @ (bCOMB_189 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world)))) @ cCOMB_171) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q)))) @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r))))))))))) [B combinator elimination 262] 126.57/124.68 264. ($true != vPI_16 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_135 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_34 @ vNOT_33) @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4)))) @ (bCOMB_191 @ (bCOMB_187 @ vPI_177) @ (bCOMB_189 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world)))) @ cCOMB_171) @ (sCOMB_22 @ (bCOMB_21 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_18 @ (bCOMB_126 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33)) @ (cCOMB_168 @ (bCOMB_167 @ bCOMB_24 @ (bCOMB_135 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_34 @ vNOT_33)) @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4)))) @ p)) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q))) @ (bCOMB_18 @ (bCOMB_126 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33)) @ (cCOMB_168 @ (bCOMB_167 @ bCOMB_24 @ (bCOMB_135 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_34 @ vNOT_33)) @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4)))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4)))) @ p)))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r))))) @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_191 @ (bCOMB_187 @ vPI_177) @ (bCOMB_189 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world)))) @ cCOMB_171) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q))))) @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r))))))))))) [B combinator elimination 263] 126.57/124.68 265. ($true != vPI_16 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_135 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_34 @ vNOT_33) @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4)))) @ (bCOMB_191 @ (bCOMB_187 @ vPI_177) @ (bCOMB_189 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world)))) @ cCOMB_171) @ (sCOMB_22 @ (bCOMB_21 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_18 @ (bCOMB_126 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33)) @ (cCOMB_168 @ (bCOMB_167 @ bCOMB_24 @ (bCOMB_135 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_34 @ vNOT_33)) @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4)))) @ p)) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q))) @ (bCOMB_18 @ (bCOMB_126 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33)) @ (cCOMB_168 @ (bCOMB_167 @ bCOMB_24 @ (bCOMB_135 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_34 @ vNOT_33)) @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4)))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4)))) @ p)))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r))))) @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_187 @ vPI_177 @ (bCOMB_189 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world)))) @ cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q)))))) @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r))))))))))) [B combinator elimination 264] 126.57/124.68 266. ($true != vPI_16 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_135 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_34 @ vNOT_33) @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4)))) @ (bCOMB_191 @ (bCOMB_187 @ vPI_177) @ (bCOMB_189 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world)))) @ cCOMB_171) @ (sCOMB_22 @ (bCOMB_21 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_18 @ (bCOMB_126 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33)) @ (cCOMB_168 @ (bCOMB_167 @ bCOMB_24 @ (bCOMB_135 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_34 @ vNOT_33)) @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4)))) @ p)) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q))) @ (bCOMB_18 @ (bCOMB_126 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33)) @ (cCOMB_168 @ (bCOMB_167 @ bCOMB_24 @ (bCOMB_135 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_34 @ vNOT_33)) @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4)))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4)))) @ p)))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r))))) @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q))))))) @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r))))))))))) [B combinator elimination 265] 126.57/124.68 267. ($true != vPI_16 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4)))) @ (bCOMB_191 @ (bCOMB_187 @ vPI_177) @ (bCOMB_189 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world)))) @ cCOMB_171) @ (sCOMB_22 @ (bCOMB_21 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_18 @ (bCOMB_126 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33)) @ (cCOMB_168 @ (bCOMB_167 @ bCOMB_24 @ (bCOMB_135 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_34 @ vNOT_33)) @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4)))) @ p)) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q))) @ (bCOMB_18 @ (bCOMB_126 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33)) @ (cCOMB_168 @ (bCOMB_167 @ bCOMB_24 @ (bCOMB_135 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_34 @ vNOT_33)) @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4)))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4)))) @ p)))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r)))))) @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q))))))) @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r))))))))))) [B combinator elimination 266] 126.57/124.68 268. ($true != vPI_16 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4)))) @ (bCOMB_191 @ (bCOMB_187 @ vPI_177) @ (bCOMB_189 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world)))) @ cCOMB_171) @ (sCOMB_22 @ (bCOMB_21 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_18 @ (bCOMB_126 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33)) @ (cCOMB_168 @ (bCOMB_167 @ bCOMB_24 @ (bCOMB_135 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_34 @ vNOT_33)) @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4)))) @ p)) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q))) @ (bCOMB_18 @ (bCOMB_126 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33)) @ (cCOMB_168 @ (bCOMB_167 @ bCOMB_24 @ (bCOMB_135 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_34 @ vNOT_33)) @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4)))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4)))) @ p)))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r))))))) @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q))))))) @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r))))))))))) [B combinator elimination 267] 126.57/124.68 269. ($true != vPI_16 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_191 @ (bCOMB_187 @ vPI_177) @ (bCOMB_189 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world)))) @ cCOMB_171) @ (sCOMB_22 @ (bCOMB_21 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_18 @ (bCOMB_126 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33)) @ (cCOMB_168 @ (bCOMB_167 @ bCOMB_24 @ (bCOMB_135 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_34 @ vNOT_33)) @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4)))) @ p)) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q))) @ (bCOMB_18 @ (bCOMB_126 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33)) @ (cCOMB_168 @ (bCOMB_167 @ bCOMB_24 @ (bCOMB_135 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_34 @ vNOT_33)) @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4)))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4)))) @ p)))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r)))))))) @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q))))))) @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r))))))))))) [B combinator elimination 268] 126.57/124.68 270. ($true != vPI_16 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_187 @ vPI_177 @ (bCOMB_189 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world)))) @ cCOMB_171 @ (sCOMB_22 @ (bCOMB_21 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_18 @ (bCOMB_126 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33)) @ (cCOMB_168 @ (bCOMB_167 @ bCOMB_24 @ (bCOMB_135 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_34 @ vNOT_33)) @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4)))) @ p)) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q))) @ (bCOMB_18 @ (bCOMB_126 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33)) @ (cCOMB_168 @ (bCOMB_167 @ bCOMB_24 @ (bCOMB_135 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_34 @ vNOT_33)) @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4)))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4)))) @ p)))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r))))))))) @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q))))))) @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r))))))))))) [B combinator elimination 269] 126.57/124.68 271. ($true != vPI_16 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (sCOMB_22 @ (bCOMB_21 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_18 @ (bCOMB_126 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33)) @ (cCOMB_168 @ (bCOMB_167 @ bCOMB_24 @ (bCOMB_135 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_34 @ vNOT_33)) @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4)))) @ p)) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q))) @ (bCOMB_18 @ (bCOMB_126 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33)) @ (cCOMB_168 @ (bCOMB_167 @ bCOMB_24 @ (bCOMB_135 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_34 @ vNOT_33)) @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4)))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4)))) @ p)))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r)))))))))) @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q))))))) @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r))))))))))) [B combinator elimination 270] 126.57/124.68 272. ($true != vPI_16 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (sCOMB_22 @ (bCOMB_21 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_18 @ (bCOMB_126 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33)) @ (cCOMB_168 @ (bCOMB_167 @ bCOMB_24 @ (bCOMB_135 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_34 @ vNOT_33)) @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4)))) @ p)) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q))) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (cCOMB_168 @ (bCOMB_167 @ bCOMB_24 @ (bCOMB_135 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_34 @ vNOT_33) @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4)))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4)))) @ p))))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r)))))))))) @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q))))))) @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r))))))))))) [B combinator elimination 271] 126.57/124.68 273. ($true != vPI_16 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (sCOMB_22 @ (bCOMB_21 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_18 @ (bCOMB_126 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33)) @ (cCOMB_168 @ (bCOMB_167 @ bCOMB_24 @ (bCOMB_135 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_34 @ vNOT_33)) @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4)))) @ p)) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q))) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_167 @ bCOMB_24 @ (bCOMB_135 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_34 @ vNOT_33)) @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4)))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4)))) @ p))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r)))))))))) @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q))))))) @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r))))))))))) [C combinator elimination 272] 126.57/124.68 274. ($true != vPI_16 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (sCOMB_22 @ (bCOMB_21 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_18 @ (bCOMB_126 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33)) @ (cCOMB_168 @ (bCOMB_167 @ bCOMB_24 @ (bCOMB_135 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_34 @ vNOT_33)) @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4)))) @ p)) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q))) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (bCOMB_135 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_34 @ vNOT_33) @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4)))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4)))) @ p)))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r)))))))))) @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q))))))) @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r))))))))))) [B combinator elimination 273] 126.57/124.68 275. ($true != vPI_16 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (sCOMB_22 @ (bCOMB_21 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_18 @ (bCOMB_126 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33)) @ (cCOMB_168 @ (bCOMB_167 @ bCOMB_24 @ (bCOMB_135 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_34 @ vNOT_33)) @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4)))) @ p)) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q))) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4)))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4)))) @ p))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r)))))))))) @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q))))))) @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r))))))))))) [B combinator elimination 274] 126.57/124.68 276. ($true != vPI_16 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (sCOMB_22 @ (bCOMB_21 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_18 @ (bCOMB_126 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33)) @ (cCOMB_168 @ (bCOMB_167 @ bCOMB_24 @ (bCOMB_135 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_34 @ vNOT_33)) @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4)))) @ p)) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q))) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4)))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4)))) @ p)))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r)))))))))) @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q))))))) @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r))))))))))) [B combinator elimination 275] 126.57/124.68 277. ($true != vPI_16 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (sCOMB_22 @ (bCOMB_21 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_18 @ (bCOMB_126 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33)) @ (cCOMB_168 @ (bCOMB_167 @ bCOMB_24 @ (bCOMB_135 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_34 @ vNOT_33)) @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4)))) @ p)) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q))) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4)))) @ p))))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r)))))))))) @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q))))))) @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r))))))))))) [B combinator elimination 276] 126.57/124.68 278. ($true != vPI_16 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (sCOMB_22 @ (bCOMB_21 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_18 @ (bCOMB_126 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33)) @ (cCOMB_168 @ (bCOMB_167 @ bCOMB_24 @ (bCOMB_135 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_34 @ vNOT_33)) @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q))) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p)))))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r)))))))))) @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q))))))) @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r))))))))))) [B combinator elimination 277] 126.57/124.68 279. ($true != vPI_16 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (sCOMB_22 @ (bCOMB_21 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (cCOMB_168 @ (bCOMB_167 @ bCOMB_24 @ (bCOMB_135 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_34 @ vNOT_33) @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p)))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q))) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p)))))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r)))))))))) @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q))))))) @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r))))))))))) [B combinator elimination 278] 126.57/124.68 280. ($true != vPI_16 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (sCOMB_22 @ (bCOMB_21 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_167 @ bCOMB_24 @ (bCOMB_135 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_34 @ vNOT_33)) @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p)) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q))) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p)))))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r)))))))))) @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q))))))) @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r))))))))))) [C combinator elimination 279] 126.57/124.68 281. ($true != vPI_16 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (sCOMB_22 @ (bCOMB_21 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (bCOMB_135 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_34 @ vNOT_33) @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q))) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p)))))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r)))))))))) @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q))))))) @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r))))))))))) [B combinator elimination 280] 126.57/124.68 282. ($true != vPI_16 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (sCOMB_22 @ (bCOMB_21 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p)))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q))) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p)))))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r)))))))))) @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q))))))) @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r))))))))))) [B combinator elimination 281] 126.57/124.68 283. ($true != vPI_16 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (sCOMB_22 @ (bCOMB_21 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q))) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p)))))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r)))))))))) @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q))))))) @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r))))))))))) [B combinator elimination 282] 126.57/124.68 284. ($false = bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (sCOMB_22 @ (bCOMB_21 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q))) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p)))))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r)))))))))) @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q))))))) @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r))))))))) @ sK12) [HOL SIGMA constant elimination 283] 126.57/124.68 285. ($false = vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (sCOMB_22 @ (bCOMB_21 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q))) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p)))))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r)))))))))) @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q))))))) @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r)))))))) @ sK12)) [B combinator elimination 284] 126.57/124.68 286. ($false = vPI_16 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4)) @ sK12 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (sCOMB_22 @ (bCOMB_21 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q))) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p)))))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r)))))))))) @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q))))))) @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r)))))))))) [C combinator elimination 285] 126.57/124.68 287. ($false = vPI_16 @ (sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4) @ sK12) @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (sCOMB_22 @ (bCOMB_21 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q))) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p)))))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r)))))))))) @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q))))))) @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r)))))))))) [B combinator elimination 286] 126.57/124.68 288. ($false = vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4 @ sK12)) @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (sCOMB_22 @ (bCOMB_21 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q))) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p)))))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r)))))))))) @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q))))))) @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r)))))))))) [B combinator elimination 287] 126.57/124.68 289. ($false = vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK12))) @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (sCOMB_22 @ (bCOMB_21 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q))) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p)))))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r)))))))))) @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q))))))) @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r)))))))))) [B combinator elimination 288] 126.57/124.68 290. ($false = sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK12))) @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (sCOMB_22 @ (bCOMB_21 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q))) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p)))))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r)))))))))) @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q))))))) @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r)))))))) @ sK13) [HOL SIGMA constant elimination 289] 126.57/124.68 291. ($false = bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK12)) @ sK13 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (sCOMB_22 @ (bCOMB_21 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q))) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p)))))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r)))))))))) @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q))))))) @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r))))))) @ sK13)) [S combinator elimination 290] 126.57/124.68 292. ($false = bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK12)) @ sK13 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (sCOMB_22 @ (bCOMB_21 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q))) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p)))))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r))))))))) @ sK13 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q))))))) @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r)))))) @ sK13))) [S combinator elimination 291] 126.57/124.68 293. ($false = bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK12)) @ sK13 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (sCOMB_22 @ (bCOMB_21 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q))) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p)))))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r))))))))) @ sK13 @ (bCOMB_40 @ vOR_37 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q)))))) @ sK13 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r))))) @ sK13)))) [S combinator elimination 292] 126.57/124.68 294. ($false = bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK12)) @ sK13 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (sCOMB_22 @ (bCOMB_21 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q))) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p)))))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r))))))))) @ sK13 @ (bCOMB_40 @ vOR_37 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q)))))) @ sK13 @ (vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r)))) @ sK13))))) [B combinator elimination 293] 126.57/124.68 295. ($false = bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK12)) @ sK13 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (sCOMB_22 @ (bCOMB_21 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q))) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p)))))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r))))))))) @ sK13 @ (bCOMB_40 @ vOR_37 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q)))))) @ sK13 @ (vPI_16 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4)) @ sK13 @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r))))))))) [C combinator elimination 294] 126.57/124.68 296. ($false = bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK12)) @ sK13 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (sCOMB_22 @ (bCOMB_21 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q))) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p)))))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r))))))))) @ sK13 @ (bCOMB_40 @ vOR_37 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q)))))) @ sK13 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4) @ sK13) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r))))))))) [B combinator elimination 295] 126.57/124.68 297. ($false = bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK12)) @ sK13 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (sCOMB_22 @ (bCOMB_21 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q))) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p)))))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r))))))))) @ sK13 @ (bCOMB_40 @ vOR_37 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q)))))) @ sK13 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4 @ sK13)) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r))))))))) [B combinator elimination 296] 126.57/124.68 298. ($false = bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK12)) @ sK13 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (sCOMB_22 @ (bCOMB_21 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q))) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p)))))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r))))))))) @ sK13 @ (bCOMB_40 @ vOR_37 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q)))))) @ sK13 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK13))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r))))))))) [B combinator elimination 297] 126.57/124.68 299. ($false = bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK12)) @ sK13 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (sCOMB_22 @ (bCOMB_21 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q))) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p)))))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r))))))))) @ sK13 @ (vOR_37 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q))))) @ sK13) @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK13))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r))))))))) [B combinator elimination 298] 126.57/124.68 300. ($false = bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK12)) @ sK13 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (sCOMB_22 @ (bCOMB_21 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q))) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p)))))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r))))))))) @ sK13 @ (vOR_37 @ (vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q)))) @ sK13)) @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK13))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r))))))))) [B combinator elimination 299] 126.57/124.68 301. ($false = bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK12)) @ sK13 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (sCOMB_22 @ (bCOMB_21 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q))) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p)))))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r))))))))) @ sK13 @ (vOR_37 @ (vPI_16 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4)) @ sK13 @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q)))))) @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK13))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r))))))))) [C combinator elimination 300] 126.57/124.68 302. ($false = bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK12)) @ sK13 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (sCOMB_22 @ (bCOMB_21 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q))) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p)))))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r))))))))) @ sK13 @ (vOR_37 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4) @ sK13) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q)))))) @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK13))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r))))))))) [B combinator elimination 301] 126.57/124.68 303. ($false = bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK12)) @ sK13 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (sCOMB_22 @ (bCOMB_21 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q))) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p)))))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r))))))))) @ sK13 @ (vOR_37 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4 @ sK13)) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q)))))) @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK13))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r))))))))) [B combinator elimination 302] 126.57/124.68 304. ($false = bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK12)) @ sK13 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (sCOMB_22 @ (bCOMB_21 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q))) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p)))))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r))))))))) @ sK13 @ (vOR_37 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK13))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q)))))) @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK13))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r))))))))) [B combinator elimination 303] 126.57/124.68 305. ($false = bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK12)) @ sK13 @ (vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (sCOMB_22 @ (bCOMB_21 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q))) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p)))))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r)))))))) @ sK13) @ (vOR_37 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK13))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q)))))) @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK13))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r))))))))) [B combinator elimination 304] 126.57/124.68 306. ($false = bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK12)) @ sK13 @ (vOR_37 @ (vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (sCOMB_22 @ (bCOMB_21 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q))) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p)))))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r))))))) @ sK13)) @ (vOR_37 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK13))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q)))))) @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK13))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r))))))))) [B combinator elimination 305] 126.57/124.68 307. ($false = bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK12)) @ sK13 @ (vOR_37 @ (vNOT_33 @ (vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (sCOMB_22 @ (bCOMB_21 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q))) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p)))))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r)))))) @ sK13))) @ (vOR_37 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK13))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q)))))) @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK13))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r))))))))) [B combinator elimination 306] 126.57/124.68 308. ($false = bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK12)) @ sK13 @ (vOR_37 @ (vNOT_33 @ (vPI_16 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4)) @ sK13 @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (sCOMB_22 @ (bCOMB_21 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q))) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p)))))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r))))))))) @ (vOR_37 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK13))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q)))))) @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK13))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r))))))))) [C combinator elimination 307] 126.57/124.68 309. ($false = bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK12)) @ sK13 @ (vOR_37 @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4) @ sK13) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (sCOMB_22 @ (bCOMB_21 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q))) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p)))))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r))))))))) @ (vOR_37 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK13))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q)))))) @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK13))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r))))))))) [B combinator elimination 308] 126.57/124.68 310. ($false = bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK12)) @ sK13 @ (vOR_37 @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4 @ sK13)) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (sCOMB_22 @ (bCOMB_21 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q))) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p)))))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r))))))))) @ (vOR_37 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK13))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q)))))) @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK13))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r))))))))) [B combinator elimination 309] 126.57/124.68 311. ($false = bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK12)) @ sK13 @ (vOR_37 @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK13))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (sCOMB_22 @ (bCOMB_21 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q))) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p)))))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r))))))))) @ (vOR_37 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK13))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q)))))) @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK13))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r))))))))) [B combinator elimination 310] 126.57/124.68 312. ($false = vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK12) @ sK13) @ (vOR_37 @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK13))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (sCOMB_22 @ (bCOMB_21 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q))) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p)))))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r))))))))) @ (vOR_37 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK13))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q)))))) @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK13))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r))))))))) [B combinator elimination 311] 126.57/124.68 313. ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ sK12 @ sK13)) @ (vOR_37 @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK13))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (sCOMB_22 @ (bCOMB_21 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q))) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p)))))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r))))))))) @ (vOR_37 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK13))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q)))))) @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK13))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r))))))))) [B combinator elimination 312] 126.57/124.68 315. 0 <=> ($false = $true) [avatar definition] 126.57/124.68 318. 1 <=> ($false != $true) [avatar definition] 126.57/124.68 320. ~1 [avatar split clause 39,318] 126.57/124.68 325. 2 <=> ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ sK12 @ sK13)) @ (vOR_37 @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK13))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (sCOMB_22 @ (bCOMB_21 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q))) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p)))))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r))))))))) @ (vOR_37 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK13))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q)))))) @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK13))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r))))))))) [avatar definition] 126.57/124.68 326. ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ sK12 @ sK13)) @ (vOR_37 @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK13))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (sCOMB_22 @ (bCOMB_21 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q))) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p)))))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r))))))))) @ (vOR_37 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK13))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q)))))) @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK13))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r))))))))) <- {2} [avatar component clause 325] 126.57/124.68 327. 2 [avatar split clause 313,325] 126.57/124.68 330. ($false = X1 @ (sK0 @ X1 @ X0)) | X0 = X1 | ($true != X0 @ (sK0 @ X1 @ X0)) [fool paramodulation 161] 126.57/124.68 342. ($false = X1 @ (sK10 @ X1 @ X0)) | X0 = X1 | ($true != X0 @ (sK10 @ X1 @ X0)) [fool paramodulation 171] 126.57/124.68 346. ($true != rel_s4 @ X3 @ (sK10 @ X2 @ (exists_in_world @ X1))) | exists_in_world @ X1 = X2 | ($true != X2 @ (sK10 @ X2 @ (exists_in_world @ X1))) | ($true != exists_in_world @ X1 @ X3) [superposition 171,206] 126.57/124.68 347. ($true != rel_s4 @ X6 @ (sK10 @ (exists_in_world @ X4) @ X5)) | exists_in_world @ X4 = X5 | ($true != X5 @ (sK10 @ (exists_in_world @ X4) @ X5)) | ($true != exists_in_world @ X4 @ X6) [superposition 171,206] 126.57/124.68 349. ($false = rel_s4 @ X3 @ (sK10 @ X2 @ (rel_s4 @ X1))) | rel_s4 @ X1 = X2 | ($false = rel_s4 @ X1 @ X3) | ($true != X2 @ (sK10 @ X2 @ (rel_s4 @ X1))) [superposition 171,253] 126.57/124.68 350. ($false = rel_s4 @ X6 @ (sK10 @ (rel_s4 @ X4) @ X5)) | rel_s4 @ X4 = X5 | ($false = rel_s4 @ X4 @ X6) | ($true != X5 @ (sK10 @ (rel_s4 @ X4) @ X5)) [superposition 171,253] 126.57/124.68 353. ($false = vNOT_33 @ (rel_s4 @ sK12 @ sK13)) <- {2} [HOL binary constant elimination 326] 126.57/124.68 354. ($false = vOR_37 @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK13))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (sCOMB_22 @ (bCOMB_21 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q))) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p)))))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r))))))))) @ (vOR_37 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK13))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q)))))) @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK13))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r)))))))) <- {2} [HOL binary constant elimination 326] 126.57/124.68 355. ($false = vOR_37 @ (vNOT_33 @ $true) @ (vOR_37 @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK13))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (sCOMB_22 @ (bCOMB_21 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q))) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p)))))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r))))))))) @ (vOR_37 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK13))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q)))))) @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK13))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r))))))))) | ($false = rel_s4 @ sK12 @ X0) | ($false = rel_s4 @ X0 @ sK13) <- {2} [superposition 326,253] 126.57/124.68 356. ($true = rel_s4 @ sK12 @ sK13) <- {2} [HOL not constant elimination 353] 126.57/124.68 361. 4 <=> ($true = rel_s4 @ sK12 @ sK13) [avatar definition] 126.57/124.68 362. ($true = rel_s4 @ sK12 @ sK13) <- {4} [avatar component clause 361] 126.57/124.68 363. 4 | ~2 [avatar split clause 356,325,361] 126.57/124.68 368. 6 <=> ($false = vOR_37 @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK13))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (sCOMB_22 @ (bCOMB_21 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q))) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p)))))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r))))))))) @ (vOR_37 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK13))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q)))))) @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK13))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r)))))))) [avatar definition] 126.57/124.68 369. ($false = vOR_37 @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK13))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (sCOMB_22 @ (bCOMB_21 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q))) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p)))))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r))))))))) @ (vOR_37 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK13))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q)))))) @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK13))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r)))))))) <- {6} [avatar component clause 368] 126.57/124.68 370. 6 | ~2 [avatar split clause 354,325,368] 126.57/124.68 372. 8 <=> ! [X0] : (($false = rel_s4 @ sK12 @ X0) | ($false = rel_s4 @ X0 @ sK13)) [avatar definition] 126.57/124.68 378. 10 <=> ($false = vOR_37 @ (vNOT_33 @ $true) @ (vOR_37 @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK13))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (sCOMB_22 @ (bCOMB_21 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q))) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p)))))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r))))))))) @ (vOR_37 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK13))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q)))))) @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK13))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r))))))))) [avatar definition] 126.57/124.68 379. ($false = vOR_37 @ (vNOT_33 @ $true) @ (vOR_37 @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK13))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (sCOMB_22 @ (bCOMB_21 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q))) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p)))))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r))))))))) @ (vOR_37 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK13))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q)))))) @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK13))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r))))))))) <- {10} [avatar component clause 378] 126.57/124.68 380. 8 | 10 | ~2 [avatar split clause 355,325,378,372] 126.57/124.68 382. ($true = exists_in_world @ (sK11 @ sK12) @ sK13) <- {4} [unit resulting resolution 205,362,206] 126.57/124.68 388. 12 <=> ($true = exists_in_world @ (sK11 @ sK12) @ sK13) [avatar definition] 126.57/124.68 389. ($true = exists_in_world @ (sK11 @ sK12) @ sK13) <- {12} [avatar component clause 388] 126.57/124.68 390. 12 | ~4 [avatar split clause 382,361,388] 126.57/124.68 392. ($false = vSIGMA_16 @ (sK0 @ vSIGMA_16 @ X0)) | vSIGMA_16 = X0 | ($true != X0 @ (sK0 @ vSIGMA_16 @ X0)) [extended narrowing 330] 126.57/124.68 394. ($false != X2 @ (sK0 @ X1 @ X2)) | X1 = X2 | X1 = X2 | ($true != X2 @ (sK0 @ X1 @ X2)) [superposition 161,330] 126.57/124.68 395. ($true != X2 @ (sK0 @ X1 @ X2)) | X1 = X2 | ($false != X2 @ (sK0 @ X1 @ X2)) [duplicate literal removal 394] 126.57/124.68 396. ($false = sK0 @ vSIGMA_16 @ X0 @ X1) | vSIGMA_16 = X0 | ($true != X0 @ (sK0 @ vSIGMA_16 @ X0)) [HOL PI constant elimination 392] 126.57/124.68 406. ($false != X2 @ (sK10 @ X1 @ X2)) | X1 = X2 | X1 = X2 | ($true != X2 @ (sK10 @ X1 @ X2)) [superposition 171,342] 126.57/124.68 409. ($true != X2 @ (sK10 @ X1 @ X2)) | X1 = X2 | ($false != X2 @ (sK10 @ X1 @ X2)) [duplicate literal removal 406] 126.57/124.68 412. ($true != $true) | exists_in_world @ X3 = X2 | ($true != X2 @ (sK10 @ X2 @ (exists_in_world @ X3))) | ($true != exists_in_world @ X3 @ (sK10 @ X2 @ (exists_in_world @ X3))) [superposition 346,258] 126.57/124.68 415. ($true != exists_in_world @ X3 @ (sK10 @ X2 @ (exists_in_world @ X3))) | ($true != X2 @ (sK10 @ X2 @ (exists_in_world @ X3))) | exists_in_world @ X3 = X2 [trivial inequality removal 412] 126.57/124.68 420. ($true != $true) | exists_in_world @ X3 = X4 | ($true != X4 @ (sK10 @ (exists_in_world @ X3) @ X4)) | ($true != exists_in_world @ X3 @ X2) | ($false = rel_s4 @ X2 @ X5) | ($false = rel_s4 @ X5 @ (sK10 @ (exists_in_world @ X3) @ X4)) [superposition 347,253] 126.57/124.68 421. ($false = rel_s4 @ X5 @ (sK10 @ (exists_in_world @ X3) @ X4)) | ($true != X4 @ (sK10 @ (exists_in_world @ X3) @ X4)) | ($true != exists_in_world @ X3 @ X2) | ($false = rel_s4 @ X2 @ X5) | exists_in_world @ X3 = X4 [trivial inequality removal 420] 126.57/124.68 424. ($false = $true) | rel_s4 @ X6 = X5 | ($false = rel_s4 @ X6 @ (sK10 @ X5 @ (rel_s4 @ X6))) | ($true != X5 @ (sK10 @ X5 @ (rel_s4 @ X6))) [superposition 349,258] 126.57/124.68 434. ($false = rel_s4 @ X6 @ (sK10 @ X5 @ (rel_s4 @ X6))) | rel_s4 @ X6 = X5 | ($true != X5 @ (sK10 @ X5 @ (rel_s4 @ X6))) [global subsumption 39,424] 126.57/124.68 437. ($false = $true) | rel_s4 @ X11 = X12 | ($false = rel_s4 @ X11 @ X10) | ($true != X12 @ (sK10 @ (rel_s4 @ X11) @ X12)) | ($false = rel_s4 @ X10 @ X13) | ($false = rel_s4 @ X13 @ (sK10 @ (rel_s4 @ X11) @ X12)) [superposition 350,253] 126.57/124.68 439. ($false != rel_s4 @ X7 @ (sK10 @ (rel_s4 @ X7) @ (rel_s4 @ X6))) | rel_s4 @ X6 = rel_s4 @ X7 | rel_s4 @ X6 = rel_s4 @ X7 | ($false = rel_s4 @ X7 @ X6) | ($true != rel_s4 @ X6 @ (sK10 @ (rel_s4 @ X7) @ (rel_s4 @ X6))) [superposition 171,350] 126.57/124.68 444. ($true != rel_s4 @ X6 @ (sK10 @ (rel_s4 @ X7) @ (rel_s4 @ X6))) | rel_s4 @ X6 = rel_s4 @ X7 | ($false = rel_s4 @ X7 @ X6) | ($false != rel_s4 @ X7 @ (sK10 @ (rel_s4 @ X7) @ (rel_s4 @ X6))) [duplicate literal removal 439] 126.57/124.68 446. ($false = rel_s4 @ X13 @ (sK10 @ (rel_s4 @ X11) @ X12)) | ($false = rel_s4 @ X11 @ X10) | ($true != X12 @ (sK10 @ (rel_s4 @ X11) @ X12)) | ($false = rel_s4 @ X10 @ X13) | rel_s4 @ X11 = X12 [global subsumption 39,437] 126.57/124.68 447. ($false = vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK13))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (sCOMB_22 @ (bCOMB_21 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q))) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p)))))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r))))))))) <- {6} [HOL binary constant elimination 369] 126.57/124.68 448. ($false = vOR_37 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK13))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q)))))) @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK13))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r))))))) <- {6} [HOL binary constant elimination 369] 126.57/124.68 449. ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ sK12 @ sK13)) @ $false) <- {2, 6} [superposition 326,369] 126.57/124.68 450. ($true = vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK13))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (sCOMB_22 @ (bCOMB_21 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q))) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p)))))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r)))))))) <- {6} [HOL not constant elimination 447] 126.57/124.68 451. ($true = sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK13))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (sCOMB_22 @ (bCOMB_21 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q))) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p)))))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r)))))) @ X1) <- {6} [HOL PI constant elimination 450] 126.57/124.68 452. ($true = bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK13)) @ X1 @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (sCOMB_22 @ (bCOMB_21 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q))) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p)))))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r))))) @ X1)) <- {6} [S combinator elimination 451] 126.57/124.68 453. ($true = bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK13)) @ X1 @ (vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (sCOMB_22 @ (bCOMB_21 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q))) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p)))))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r)))) @ X1))) <- {6} [B combinator elimination 452] 126.57/124.68 454. ($true = bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK13)) @ X1 @ (vPI_177 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world)) @ X1 @ (cCOMB_171 @ (sCOMB_22 @ (bCOMB_21 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q))) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p)))))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r))) @ X1)))) <- {6} [S combinator elimination 453] 126.57/124.68 455. ($true = bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK13)) @ X1 @ (vPI_177 @ (sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world) @ X1) @ (cCOMB_171 @ (sCOMB_22 @ (bCOMB_21 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q))) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p)))))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r))) @ X1)))) <- {6} [B combinator elimination 454] 126.57/124.68 456. ($true = bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK13)) @ X1 @ (vPI_177 @ (sCOMB_176 @ (bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ X1)) @ (cCOMB_171 @ (sCOMB_22 @ (bCOMB_21 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q))) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p)))))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r))) @ X1)))) <- {6} [B combinator elimination 455] 126.57/124.68 457. ($true = vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK13) @ X1) @ (vPI_177 @ (sCOMB_176 @ (bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ X1)) @ (cCOMB_171 @ (sCOMB_22 @ (bCOMB_21 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q))) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p)))))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r))) @ X1)))) <- {6} [B combinator elimination 456] 126.57/124.68 458. ($true = vOR_37 @ (vNOT_33 @ (rel_s4 @ sK13 @ X1)) @ (vPI_177 @ (sCOMB_176 @ (bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ X1)) @ (cCOMB_171 @ (sCOMB_22 @ (bCOMB_21 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q))) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p)))))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r))) @ X1)))) <- {6} [B combinator elimination 457] 126.57/124.68 459. ($true = vNOT_33 @ (rel_s4 @ sK13 @ X1)) | ($true = vPI_177 @ (sCOMB_176 @ (bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ X1)) @ (cCOMB_171 @ (sCOMB_22 @ (bCOMB_21 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q))) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p)))))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r))) @ X1))) <- {6} [HOL binary constant elimination 458] 126.57/124.68 460. ($false = rel_s4 @ sK13 @ X1) | ($true = vPI_177 @ (sCOMB_176 @ (bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ X1)) @ (cCOMB_171 @ (sCOMB_22 @ (bCOMB_21 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q))) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p)))))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r))) @ X1))) <- {6} [HOL not constant elimination 459] 126.57/124.68 461. ($false = rel_s4 @ sK13 @ X1) | ($true = sCOMB_176 @ (bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ X1)) @ (cCOMB_171 @ (sCOMB_22 @ (bCOMB_21 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q))) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p)))))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r))) @ X1) @ X2) <- {6} [HOL PI constant elimination 460] 126.57/124.68 462. ($false = rel_s4 @ sK13 @ X1) | ($true = bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ X1) @ X2 @ (cCOMB_171 @ (sCOMB_22 @ (bCOMB_21 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q))) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p)))))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r))) @ X1 @ X2)) <- {6} [S combinator elimination 461] 126.57/124.68 463. ($false = rel_s4 @ sK13 @ X1) | ($true = bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ X1) @ X2 @ (sCOMB_22 @ (bCOMB_21 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q))) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p)))))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r)) @ X2 @ X1)) <- {6} [C combinator elimination 462] 126.57/124.68 464. ($false = rel_s4 @ sK13 @ X1) | ($true = bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ X1) @ X2 @ (bCOMB_21 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q)) @ X2 @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p)))))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r) @ X2) @ X1)) <- {6} [S combinator elimination 463] 126.57/124.68 465. ($false = rel_s4 @ sK13 @ X1) | ($true = bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ X1) @ X2 @ (bCOMB_21 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q)) @ X2 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p)))))))) @ (bCOMB_34 @ vNOT_33)) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r @ X2)) @ X1)) <- {6} [B combinator elimination 464] 126.57/124.68 466. ($false = rel_s4 @ sK13 @ X1) | ($true = bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ X1) @ X2 @ (bCOMB_21 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q)) @ X2 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p)))))))) @ (bCOMB_34 @ vNOT_33) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r @ X2))) @ X1)) <- {6} [B combinator elimination 465] 126.57/124.68 467. ($false = rel_s4 @ sK13 @ X1) | ($true = bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ X1) @ X2 @ (bCOMB_21 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q)) @ X2 @ (bCOMB_34 @ vNOT_33 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p))))))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r @ X2)))) @ X1)) <- {6} [B combinator elimination 466] 126.57/124.68 468. ($false = rel_s4 @ sK13 @ X1) | ($true = bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ X1) @ X2 @ (bCOMB_21 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q)) @ X2 @ (bCOMB_34 @ vNOT_33 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p))))))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4)))) @ (big_r @ X2))))) @ X1)) <- {6} [B combinator elimination 467] 126.57/124.68 469. ($false = rel_s4 @ sK13 @ X1) | ($true = bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ X1) @ X2 @ (bCOMB_21 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q)) @ X2 @ (bCOMB_34 @ vNOT_33 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p))))))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (big_r @ X2)))))) @ X1)) <- {6} [B combinator elimination 468] 126.57/124.68 470. ($false = rel_s4 @ sK13 @ X1) | ($true = bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ X1) @ X2 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q) @ X2) @ (bCOMB_34 @ vNOT_33 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p))))))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (big_r @ X2)))))) @ X1)) <- {6} [B combinator elimination 469] 126.57/124.68 471. ($false = rel_s4 @ sK13 @ X1) | ($true = bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ X1) @ X2 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q) @ X2)) @ (bCOMB_34 @ vNOT_33 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p))))))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (big_r @ X2)))))) @ X1)) <- {6} [B combinator elimination 470] 126.57/124.68 472. ($false = rel_s4 @ sK13 @ X1) | ($true = bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ X1) @ X2 @ (bCOMB_40 @ vOR_37 @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q) @ X2) @ X1 @ (bCOMB_34 @ vNOT_33 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p))))))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (big_r @ X2))))) @ X1))) <- {6} [S combinator elimination 471] 126.57/124.68 473. ($false = rel_s4 @ sK13 @ X1) | ($true = bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ X1) @ X2 @ (bCOMB_40 @ vOR_37 @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q) @ X2) @ X1 @ (vNOT_33 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p))))))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (big_r @ X2)))) @ X1)))) <- {6} [B combinator elimination 472] 126.57/124.68 474. ($false = rel_s4 @ sK13 @ X1) | ($true = bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ X1) @ X2 @ (bCOMB_40 @ vOR_37 @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q) @ X2) @ X1 @ (vNOT_33 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p)))))) @ X1 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (big_r @ X2))) @ X1))))) <- {6} [S combinator elimination 473] 126.57/124.68 475. ($false = rel_s4 @ sK13 @ X1) | ($true = bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ X1) @ X2 @ (bCOMB_40 @ vOR_37 @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q) @ X2) @ X1 @ (vNOT_33 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p)))))) @ X1 @ (vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (big_r @ X2)) @ X1)))))) <- {6} [B combinator elimination 474] 126.57/124.68 476. ($false = rel_s4 @ sK13 @ X1) | ($true = bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ X1) @ X2 @ (bCOMB_40 @ vOR_37 @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q) @ X2) @ X1 @ (vNOT_33 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p)))))) @ X1 @ (vNOT_33 @ (vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (big_r @ X2) @ X1))))))) <- {6} [B combinator elimination 475] 126.57/124.68 477. ($false = rel_s4 @ sK13 @ X1) | ($true = bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ X1) @ X2 @ (bCOMB_40 @ vOR_37 @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q) @ X2) @ X1 @ (vNOT_33 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p)))))) @ X1 @ (vNOT_33 @ (vPI_16 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4)) @ X1 @ (big_r @ X2)))))))) <- {6} [C combinator elimination 476] 126.57/124.68 478. ($false = rel_s4 @ sK13 @ X1) | ($true = bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ X1) @ X2 @ (bCOMB_40 @ vOR_37 @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q) @ X2) @ X1 @ (vNOT_33 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p)))))) @ X1 @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4) @ X1) @ (big_r @ X2)))))))) <- {6} [B combinator elimination 477] 126.57/124.68 479. ($false = rel_s4 @ sK13 @ X1) | ($true = bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ X1) @ X2 @ (bCOMB_40 @ vOR_37 @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q) @ X2) @ X1 @ (vNOT_33 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p)))))) @ X1 @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4 @ X1)) @ (big_r @ X2)))))))) <- {6} [B combinator elimination 478] 126.57/124.68 480. ($false = rel_s4 @ sK13 @ X1) | ($true = bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ X1) @ X2 @ (bCOMB_40 @ vOR_37 @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q) @ X2) @ X1 @ (vNOT_33 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p)))))) @ X1 @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ (big_r @ X2)))))))) <- {6} [B combinator elimination 479] 126.57/124.68 481. ($false = rel_s4 @ sK13 @ X1) | ($true = bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ X1) @ X2 @ (bCOMB_40 @ vOR_37 @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q) @ X2) @ X1 @ (vNOT_33 @ (vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p))))) @ X1) @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ (big_r @ X2)))))))) <- {6} [B combinator elimination 480] 126.57/124.68 482. ($false = rel_s4 @ sK13 @ X1) | ($true = bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ X1) @ X2 @ (bCOMB_40 @ vOR_37 @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q) @ X2) @ X1 @ (vNOT_33 @ (vOR_37 @ (vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p)))) @ X1)) @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ (big_r @ X2)))))))) <- {6} [B combinator elimination 481] 126.57/124.68 483. ($false = rel_s4 @ sK13 @ X1) | ($true = bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ X1) @ X2 @ (bCOMB_40 @ vOR_37 @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q) @ X2) @ X1 @ (vNOT_33 @ (vOR_37 @ (vNOT_33 @ (vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p))) @ X1))) @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ (big_r @ X2)))))))) <- {6} [B combinator elimination 482] 126.57/124.68 484. ($false = rel_s4 @ sK13 @ X1) | ($true = bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ X1) @ X2 @ (bCOMB_40 @ vOR_37 @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q) @ X2) @ X1 @ (vNOT_33 @ (vOR_37 @ (vNOT_33 @ (vPI_16 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4)) @ X1 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p)))))) @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ (big_r @ X2)))))))) <- {6} [C combinator elimination 483] 126.57/124.68 485. ($false = rel_s4 @ sK13 @ X1) | ($true = bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ X1) @ X2 @ (bCOMB_40 @ vOR_37 @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q) @ X2) @ X1 @ (vNOT_33 @ (vOR_37 @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4) @ X1) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p)))))) @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ (big_r @ X2)))))))) <- {6} [B combinator elimination 484] 126.57/124.68 486. ($false = rel_s4 @ sK13 @ X1) | ($true = bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ X1) @ X2 @ (bCOMB_40 @ vOR_37 @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q) @ X2) @ X1 @ (vNOT_33 @ (vOR_37 @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4 @ X1)) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p)))))) @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ (big_r @ X2)))))))) <- {6} [B combinator elimination 485] 126.57/124.68 487. ($false = rel_s4 @ sK13 @ X1) | ($true = bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ X1) @ X2 @ (bCOMB_40 @ vOR_37 @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q) @ X2) @ X1 @ (vNOT_33 @ (vOR_37 @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p)))))) @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ (big_r @ X2)))))))) <- {6} [B combinator elimination 486] 126.57/124.68 488. ($false = rel_s4 @ sK13 @ X1) | ($true = bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ X1) @ X2 @ (vOR_37 @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q) @ X2 @ X1) @ (vNOT_33 @ (vOR_37 @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p)))))) @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ (big_r @ X2)))))))) <- {6} [B combinator elimination 487] 126.57/124.68 489. ($false = rel_s4 @ sK13 @ X1) | ($true = bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ X1) @ X2 @ (vOR_37 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p))))) @ (bCOMB_34 @ vNOT_33)) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q @ X2) @ X1) @ (vNOT_33 @ (vOR_37 @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p)))))) @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ (big_r @ X2)))))))) <- {6} [B combinator elimination 488] 126.57/124.68 490. ($false = rel_s4 @ sK13 @ X1) | ($true = bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ X1) @ X2 @ (vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p))))) @ (bCOMB_34 @ vNOT_33) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q @ X2)) @ X1) @ (vNOT_33 @ (vOR_37 @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p)))))) @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ (big_r @ X2)))))))) <- {6} [B combinator elimination 489] 126.57/124.68 491. ($false = rel_s4 @ sK13 @ X1) | ($true = bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ X1) @ X2 @ (vOR_37 @ (vNOT_33 @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p))))) @ (bCOMB_34 @ vNOT_33) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q @ X2) @ X1)) @ (vNOT_33 @ (vOR_37 @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p)))))) @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ (big_r @ X2)))))))) <- {6} [B combinator elimination 490] 126.57/124.68 492. ($false = rel_s4 @ sK13 @ X1) | ($true = bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ X1) @ X2 @ (vOR_37 @ (vNOT_33 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p)))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q @ X2)) @ X1)) @ (vNOT_33 @ (vOR_37 @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p)))))) @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ (big_r @ X2)))))))) <- {6} [B combinator elimination 491] 126.57/124.68 493. ($false = rel_s4 @ sK13 @ X1) | ($true = bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ X1) @ X2 @ (vOR_37 @ (vNOT_33 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p))) @ X1 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q @ X2) @ X1))) @ (vNOT_33 @ (vOR_37 @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p)))))) @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ (big_r @ X2)))))))) <- {6} [S combinator elimination 492] 126.57/124.68 494. ($false = rel_s4 @ sK13 @ X1) | ($true = bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ X1) @ X2 @ (vOR_37 @ (vNOT_33 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p))) @ X1 @ (vNOT_33 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q @ X2 @ X1)))) @ (vNOT_33 @ (vOR_37 @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p)))))) @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ (big_r @ X2)))))))) <- {6} [B combinator elimination 493] 126.57/124.68 495. ($false = rel_s4 @ sK13 @ X1) | ($true = bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ X1) @ X2 @ (vOR_37 @ (vNOT_33 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p))) @ X1 @ (vNOT_33 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4)))) @ (big_q @ X2) @ X1)))) @ (vNOT_33 @ (vOR_37 @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p)))))) @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ (big_r @ X2)))))))) <- {6} [B combinator elimination 494] 126.57/124.68 496. ($false = rel_s4 @ sK13 @ X1) | ($true = bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ X1) @ X2 @ (vOR_37 @ (vNOT_33 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p))) @ X1 @ (vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (big_q @ X2)) @ X1)))) @ (vNOT_33 @ (vOR_37 @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p)))))) @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ (big_r @ X2)))))))) <- {6} [B combinator elimination 495] 126.57/124.68 497. ($false = rel_s4 @ sK13 @ X1) | ($true = bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ X1) @ X2 @ (vOR_37 @ (vNOT_33 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p))) @ X1 @ (vNOT_33 @ (vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (big_q @ X2) @ X1))))) @ (vNOT_33 @ (vOR_37 @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p)))))) @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ (big_r @ X2)))))))) <- {6} [B combinator elimination 496] 126.57/124.68 498. ($false = rel_s4 @ sK13 @ X1) | ($true = bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ X1) @ X2 @ (vOR_37 @ (vNOT_33 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p))) @ X1 @ (vNOT_33 @ (vPI_16 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4)) @ X1 @ (big_q @ X2)))))) @ (vNOT_33 @ (vOR_37 @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p)))))) @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ (big_r @ X2)))))))) <- {6} [C combinator elimination 497] 126.57/124.68 499. ($false = rel_s4 @ sK13 @ X1) | ($true = bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ X1) @ X2 @ (vOR_37 @ (vNOT_33 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p))) @ X1 @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4) @ X1) @ (big_q @ X2)))))) @ (vNOT_33 @ (vOR_37 @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p)))))) @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ (big_r @ X2)))))))) <- {6} [B combinator elimination 498] 126.57/124.68 500. ($false = rel_s4 @ sK13 @ X1) | ($true = bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ X1) @ X2 @ (vOR_37 @ (vNOT_33 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p))) @ X1 @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4 @ X1)) @ (big_q @ X2)))))) @ (vNOT_33 @ (vOR_37 @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p)))))) @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ (big_r @ X2)))))))) <- {6} [B combinator elimination 499] 126.57/124.68 501. ($false = rel_s4 @ sK13 @ X1) | ($true = bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ X1) @ X2 @ (vOR_37 @ (vNOT_33 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p))) @ X1 @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ (big_q @ X2)))))) @ (vNOT_33 @ (vOR_37 @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p)))))) @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ (big_r @ X2)))))))) <- {6} [B combinator elimination 500] 126.57/124.68 502. ($false = rel_s4 @ sK13 @ X1) | ($true = bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ X1) @ X2 @ (vOR_37 @ (vNOT_33 @ (vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p)) @ X1) @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ (big_q @ X2)))))) @ (vNOT_33 @ (vOR_37 @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p)))))) @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ (big_r @ X2)))))))) <- {6} [B combinator elimination 501] 126.57/124.68 503. ($false = rel_s4 @ sK13 @ X1) | ($true = bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ X1) @ X2 @ (vOR_37 @ (vNOT_33 @ (vOR_37 @ (vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p) @ X1)) @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ (big_q @ X2)))))) @ (vNOT_33 @ (vOR_37 @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p)))))) @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ (big_r @ X2)))))))) <- {6} [B combinator elimination 502] 126.57/124.68 504. ($false = rel_s4 @ sK13 @ X1) | ($true = bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ X1) @ X2 @ (vOR_37 @ (vNOT_33 @ (vOR_37 @ (vNOT_33 @ (vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p @ X1))) @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ (big_q @ X2)))))) @ (vNOT_33 @ (vOR_37 @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p)))))) @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ (big_r @ X2)))))))) <- {6} [B combinator elimination 503] 126.57/124.68 505. ($false = rel_s4 @ sK13 @ X1) | ($true = bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ X1) @ X2 @ (vOR_37 @ (vNOT_33 @ (vOR_37 @ (vNOT_33 @ (vPI_16 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4)) @ X1 @ p))) @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ (big_q @ X2)))))) @ (vNOT_33 @ (vOR_37 @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p)))))) @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ (big_r @ X2)))))))) <- {6} [C combinator elimination 504] 126.57/124.68 506. ($false = rel_s4 @ sK13 @ X1) | ($true = bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ X1) @ X2 @ (vOR_37 @ (vNOT_33 @ (vOR_37 @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4) @ X1) @ p))) @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ (big_q @ X2)))))) @ (vNOT_33 @ (vOR_37 @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p)))))) @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ (big_r @ X2)))))))) <- {6} [B combinator elimination 505] 126.57/124.68 507. ($false = rel_s4 @ sK13 @ X1) | ($true = bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ X1) @ X2 @ (vOR_37 @ (vNOT_33 @ (vOR_37 @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4 @ X1)) @ p))) @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ (big_q @ X2)))))) @ (vNOT_33 @ (vOR_37 @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p)))))) @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ (big_r @ X2)))))))) <- {6} [B combinator elimination 506] 126.57/124.68 508. ($false = rel_s4 @ sK13 @ X1) | ($true = bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ X1) @ X2 @ (vOR_37 @ (vNOT_33 @ (vOR_37 @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ p))) @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ (big_q @ X2)))))) @ (vNOT_33 @ (vOR_37 @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p)))))) @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ (big_r @ X2)))))))) <- {6} [B combinator elimination 507] 126.57/124.68 509. ($false = rel_s4 @ sK13 @ X1) | ($true = vIMP_37 @ (cCOMB_171 @ exists_in_world @ X1 @ X2) @ (vOR_37 @ (vNOT_33 @ (vOR_37 @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ p))) @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ (big_q @ X2)))))) @ (vNOT_33 @ (vOR_37 @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p)))))) @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ (big_r @ X2)))))))) <- {6} [B combinator elimination 508] 126.57/124.68 510. ($false = rel_s4 @ sK13 @ X1) | ($true = vIMP_37 @ (exists_in_world @ X2 @ X1) @ (vOR_37 @ (vNOT_33 @ (vOR_37 @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ p))) @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ (big_q @ X2)))))) @ (vNOT_33 @ (vOR_37 @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p)))))) @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ (big_r @ X2)))))))) <- {6} [C combinator elimination 509] 126.57/124.68 511. ($false = rel_s4 @ sK13 @ X1) | ($false = exists_in_world @ X2 @ X1) | ($true = vOR_37 @ (vNOT_33 @ (vOR_37 @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ p))) @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ (big_q @ X2)))))) @ (vNOT_33 @ (vOR_37 @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p)))))) @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ (big_r @ X2))))))) <- {6} [HOL binary constant elimination 510] 126.57/124.68 512. ($false = rel_s4 @ sK13 @ X1) | ($false = exists_in_world @ X2 @ X1) | ($true = vNOT_33 @ (vOR_37 @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ p))) @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ (big_q @ X2)))))) | ($true = vNOT_33 @ (vOR_37 @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p)))))) @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ (big_r @ X2)))))) <- {6} [HOL binary constant elimination 511] 126.57/124.68 513. ($false = rel_s4 @ sK13 @ X1) | ($false = exists_in_world @ X2 @ X1) | ($true = vNOT_33 @ (vOR_37 @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ p))) @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ (big_q @ X2)))))) | ($false = vOR_37 @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p)))))) @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ (big_r @ X2))))) <- {6} [HOL not constant elimination 512] 126.57/124.68 514. ($false = vOR_37 @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p)))))) @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ (big_r @ X2))))) | ($false = exists_in_world @ X2 @ X1) | ($false = vOR_37 @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ p))) @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ (big_q @ X2))))) | ($false = rel_s4 @ sK13 @ X1) <- {6} [HOL not constant elimination 513] 126.57/124.68 519. 14 <=> ($false = vOR_37 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK13))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q)))))) @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK13))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r))))))) [avatar definition] 126.57/124.68 520. ($false = vOR_37 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK13))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q)))))) @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK13))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r))))))) <- {14} [avatar component clause 519] 126.57/124.68 521. 14 | ~6 [avatar split clause 448,368,519] 126.57/124.68 522. ($false = vOR_37 @ (vNOT_33 @ $true) @ $false) <- {2, 4, 6} [forward demodulation 449,362] 126.57/124.68 527. 16 <=> ($false = vOR_37 @ (vNOT_33 @ $true) @ $false) [avatar definition] 126.57/124.68 529. 16 | ~2 | ~4 | ~6 [avatar split clause 522,368,361,325,527] 126.57/124.68 538. ($true != vPI_16 @ (sK0 @ X1 @ vPI_16)) | vPI_16 = X1 | ($false != vPI_16 @ (sK0 @ X1 @ vPI_16)) [extended narrowing 395] 126.57/124.68 543. ($true != vPI_16 @ (sK0 @ X1 @ vPI_16)) | vPI_16 = X1 | ($true = sK0 @ X1 @ vPI_16 @ X2) [HOL PI constant elimination 538] 126.57/124.68 544. ($false = sK0 @ X1 @ vPI_16 @ (sK16 @ X1)) | vPI_16 = X1 | ($true = sK0 @ X1 @ vPI_16 @ X2) [HOL SIGMA constant elimination 543] 126.57/124.68 545. ($false != X1 @ (sK10 @ X1 @ (sK0 @ vSIGMA_16 @ X0))) | sK0 @ vSIGMA_16 @ X0 = X1 | vSIGMA_16 = X0 | ($true != X0 @ (sK0 @ vSIGMA_16 @ X0)) [superposition 171,396] 126.57/124.68 546. ($false != X5 @ (sK10 @ (sK0 @ vSIGMA_16 @ X4) @ X5)) | sK0 @ vSIGMA_16 @ X4 = X5 | vSIGMA_16 = X4 | ($true != X4 @ (sK0 @ vSIGMA_16 @ X4)) [superposition 171,396] 126.57/124.68 553. ($true != $true) | exists_in_world @ X5 = X6 | ($false != exists_in_world @ X5 @ (sK10 @ X6 @ (exists_in_world @ X5))) | ($true != rel_s4 @ X7 @ (sK10 @ X6 @ (exists_in_world @ X5))) | ($true != exists_in_world @ X5 @ X7) [superposition 409,206] 126.57/124.68 554. ($true != $true) | rel_s4 @ X8 = X9 | ($false != rel_s4 @ X8 @ (sK10 @ X9 @ (rel_s4 @ X8))) | ($false = rel_s4 @ X8 @ X10) | ($false = rel_s4 @ X10 @ (sK10 @ X9 @ (rel_s4 @ X8))) [superposition 409,253] 126.57/124.68 556. ($false = rel_s4 @ X10 @ (sK10 @ X9 @ (rel_s4 @ X8))) | ($false != rel_s4 @ X8 @ (sK10 @ X9 @ (rel_s4 @ X8))) | ($false = rel_s4 @ X8 @ X10) | rel_s4 @ X8 = X9 [trivial inequality removal 554] 126.57/124.68 557. ($true != rel_s4 @ X7 @ (sK10 @ X6 @ (exists_in_world @ X5))) | ($false != exists_in_world @ X5 @ (sK10 @ X6 @ (exists_in_world @ X5))) | exists_in_world @ X5 = X6 | ($true != exists_in_world @ X5 @ X7) [trivial inequality removal 553] 126.57/124.68 560. ($true != $true) | ($true != X2 @ (sK10 @ X2 @ (exists_in_world @ X3))) | exists_in_world @ X3 = X2 | ($false = exists_in_world @ X3 @ (sK10 @ X2 @ (exists_in_world @ X3))) [fool paramodulation 415] 126.57/124.68 564. ($false = exists_in_world @ X3 @ (sK10 @ X2 @ (exists_in_world @ X3))) | exists_in_world @ X3 = X2 | ($true != X2 @ (sK10 @ X2 @ (exists_in_world @ X3))) [trivial inequality removal 560] 126.57/124.68 574. ($false != X9 @ (sK10 @ X9 @ (rel_s4 @ X8))) | rel_s4 @ X8 = X9 | rel_s4 @ X8 = X9 | ($true != X9 @ (sK10 @ X9 @ (rel_s4 @ X8))) [superposition 171,434] 126.57/124.68 577. ($true != X9 @ (sK10 @ X9 @ (rel_s4 @ X8))) | rel_s4 @ X8 = X9 | ($false != X9 @ (sK10 @ X9 @ (rel_s4 @ X8))) [duplicate literal removal 574] 126.57/124.68 620. ($false = $true) | ($true != X22 @ (sK10 @ (exists_in_world @ X21) @ X22)) | ($true != exists_in_world @ X21 @ X23) | ($false = rel_s4 @ X23 @ X20) | exists_in_world @ X21 = X22 | ($false = rel_s4 @ X20 @ X24) | ($false = rel_s4 @ X24 @ (sK10 @ (exists_in_world @ X21) @ X22)) [superposition 421,253] 126.57/124.68 633. ($false = rel_s4 @ X24 @ (sK10 @ (exists_in_world @ X21) @ X22)) | ($true != exists_in_world @ X21 @ X23) | ($false = rel_s4 @ X23 @ X20) | exists_in_world @ X21 = X22 | ($false = rel_s4 @ X20 @ X24) | ($true != X22 @ (sK10 @ (exists_in_world @ X21) @ X22)) [global subsumption 39,620] 126.57/124.68 652. ($false = $true) | ($false = rel_s4 @ X26 @ X28) | ($true != X27 @ (sK10 @ (rel_s4 @ X26) @ X27)) | ($false = rel_s4 @ X28 @ X25) | rel_s4 @ X26 = X27 | ($false = rel_s4 @ X25 @ X29) | ($false = rel_s4 @ X29 @ (sK10 @ (rel_s4 @ X26) @ X27)) [superposition 446,253] 126.57/124.68 667. ($false = rel_s4 @ X29 @ (sK10 @ (rel_s4 @ X26) @ X27)) | ($true != X27 @ (sK10 @ (rel_s4 @ X26) @ X27)) | ($false = rel_s4 @ X28 @ X25) | rel_s4 @ X26 = X27 | ($false = rel_s4 @ X25 @ X29) | ($false = rel_s4 @ X26 @ X28) [global subsumption 39,652] 126.57/124.68 690. ($true != $true) | rel_s4 @ X13 = rel_s4 @ X14 | ($false = rel_s4 @ X14 @ X13) | ($false != rel_s4 @ X14 @ (sK10 @ (rel_s4 @ X14) @ (rel_s4 @ X13))) | ($false = rel_s4 @ X13 @ X15) | ($false = rel_s4 @ X15 @ (sK10 @ (rel_s4 @ X14) @ (rel_s4 @ X13))) [superposition 444,253] 126.57/124.68 691. ($false = rel_s4 @ X15 @ (sK10 @ (rel_s4 @ X14) @ (rel_s4 @ X13))) | ($false = rel_s4 @ X14 @ X13) | ($false != rel_s4 @ X14 @ (sK10 @ (rel_s4 @ X14) @ (rel_s4 @ X13))) | ($false = rel_s4 @ X13 @ X15) | rel_s4 @ X13 = rel_s4 @ X14 [trivial inequality removal 690] 126.57/124.68 699. ($false = vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p)))))) | ($false = exists_in_world @ X2 @ X1) | ($false = vOR_37 @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ p))) @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ (big_q @ X2))))) | ($false = rel_s4 @ sK13 @ X1) <- {6} [HOL binary constant elimination 514] 126.57/124.68 700. ($false = vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ (big_r @ X2)))) | ($false = exists_in_world @ X2 @ X1) | ($false = vOR_37 @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ p))) @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ (big_q @ X2))))) | ($false = rel_s4 @ sK13 @ X1) <- {6} [HOL binary constant elimination 514] 126.57/124.68 701. ($true = vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ (big_r @ X2))) | ($false = exists_in_world @ X2 @ X1) | ($false = vOR_37 @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ p))) @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ (big_q @ X2))))) | ($false = rel_s4 @ sK13 @ X1) <- {6} [HOL not constant elimination 700] 126.57/124.68 702. ($true = sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ (big_r @ X2) @ X3) | ($false = exists_in_world @ X2 @ X1) | ($false = vOR_37 @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ p))) @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ (big_q @ X2))))) | ($false = rel_s4 @ sK13 @ X1) <- {6} [HOL PI constant elimination 701] 126.57/124.68 703. ($true = bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1)) @ X3 @ (big_r @ X2 @ X3)) | ($false = exists_in_world @ X2 @ X1) | ($false = vOR_37 @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ p))) @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ (big_q @ X2))))) | ($false = rel_s4 @ sK13 @ X1) <- {6} [S combinator elimination 702] 126.57/124.68 704. ($true = vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1) @ X3) @ (big_r @ X2 @ X3)) | ($false = exists_in_world @ X2 @ X1) | ($false = vOR_37 @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ p))) @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ (big_q @ X2))))) | ($false = rel_s4 @ sK13 @ X1) <- {6} [B combinator elimination 703] 126.57/124.68 705. ($true = vOR_37 @ (vNOT_33 @ (rel_s4 @ X1 @ X3)) @ (big_r @ X2 @ X3)) | ($false = exists_in_world @ X2 @ X1) | ($false = vOR_37 @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ p))) @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ (big_q @ X2))))) | ($false = rel_s4 @ sK13 @ X1) <- {6} [B combinator elimination 704] 126.57/124.68 706. ($true = vNOT_33 @ (rel_s4 @ X1 @ X3)) | ($false = exists_in_world @ X2 @ X1) | ($false = vOR_37 @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ p))) @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ (big_q @ X2))))) | ($false = rel_s4 @ sK13 @ X1) | ($true = big_r @ X2 @ X3) <- {6} [HOL binary constant elimination 705] 126.57/124.68 707. ($false = vOR_37 @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ p))) @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ (big_q @ X2))))) | ($false = exists_in_world @ X2 @ X1) | ($false = rel_s4 @ X1 @ X3) | ($false = rel_s4 @ sK13 @ X1) | ($true = big_r @ X2 @ X3) <- {6} [HOL not constant elimination 706] 126.57/124.68 708. ($true = vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p))))) | ($false = exists_in_world @ X2 @ X1) | ($false = vOR_37 @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ p))) @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ (big_q @ X2))))) | ($false = rel_s4 @ sK13 @ X1) <- {6} [HOL not constant elimination 699] 126.57/124.68 709. ($true = sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p))) @ X3) | ($false = exists_in_world @ X2 @ X1) | ($false = vOR_37 @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ p))) @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ (big_q @ X2))))) | ($false = rel_s4 @ sK13 @ X1) <- {6} [HOL PI constant elimination 708] 126.57/124.68 710. ($true = bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1)) @ X3 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p)) @ X3)) | ($false = exists_in_world @ X2 @ X1) | ($false = vOR_37 @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ p))) @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ (big_q @ X2))))) | ($false = rel_s4 @ sK13 @ X1) <- {6} [S combinator elimination 709] 126.57/124.68 711. ($true = bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1)) @ X3 @ (vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p) @ X3))) | ($false = exists_in_world @ X2 @ X1) | ($false = vOR_37 @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ p))) @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ (big_q @ X2))))) | ($false = rel_s4 @ sK13 @ X1) <- {6} [B combinator elimination 710] 126.57/124.68 712. ($true = bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1)) @ X3 @ (vNOT_33 @ (vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p @ X3)))) | ($false = exists_in_world @ X2 @ X1) | ($false = vOR_37 @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ p))) @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ (big_q @ X2))))) | ($false = rel_s4 @ sK13 @ X1) <- {6} [B combinator elimination 711] 126.57/124.68 713. ($true = bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1)) @ X3 @ (vNOT_33 @ (vPI_16 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4)) @ X3 @ p)))) | ($false = exists_in_world @ X2 @ X1) | ($false = vOR_37 @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ p))) @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ (big_q @ X2))))) | ($false = rel_s4 @ sK13 @ X1) <- {6} [C combinator elimination 712] 126.57/124.68 714. ($true = bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1)) @ X3 @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4) @ X3) @ p)))) | ($false = exists_in_world @ X2 @ X1) | ($false = vOR_37 @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ p))) @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ (big_q @ X2))))) | ($false = rel_s4 @ sK13 @ X1) <- {6} [B combinator elimination 713] 126.57/124.68 715. ($true = bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1)) @ X3 @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4 @ X3)) @ p)))) | ($false = exists_in_world @ X2 @ X1) | ($false = vOR_37 @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ p))) @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ (big_q @ X2))))) | ($false = rel_s4 @ sK13 @ X1) <- {6} [B combinator elimination 714] 126.57/124.68 716. ($true = bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1)) @ X3 @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X3))) @ p)))) | ($false = exists_in_world @ X2 @ X1) | ($false = vOR_37 @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ p))) @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ (big_q @ X2))))) | ($false = rel_s4 @ sK13 @ X1) <- {6} [B combinator elimination 715] 126.57/124.68 717. ($true = vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1) @ X3) @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X3))) @ p)))) | ($false = exists_in_world @ X2 @ X1) | ($false = vOR_37 @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ p))) @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ (big_q @ X2))))) | ($false = rel_s4 @ sK13 @ X1) <- {6} [B combinator elimination 716] 126.57/124.68 718. ($true = vOR_37 @ (vNOT_33 @ (rel_s4 @ X1 @ X3)) @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X3))) @ p)))) | ($false = exists_in_world @ X2 @ X1) | ($false = vOR_37 @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ p))) @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ (big_q @ X2))))) | ($false = rel_s4 @ sK13 @ X1) <- {6} [B combinator elimination 717] 126.57/124.68 719. ($true = vNOT_33 @ (rel_s4 @ X1 @ X3)) | ($false = exists_in_world @ X2 @ X1) | ($false = vOR_37 @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ p))) @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ (big_q @ X2))))) | ($false = rel_s4 @ sK13 @ X1) | ($true = vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X3))) @ p))) <- {6} [HOL binary constant elimination 718] 126.57/124.68 720. ($true = vNOT_33 @ (rel_s4 @ X1 @ X3)) | ($false = exists_in_world @ X2 @ X1) | ($false = vOR_37 @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ p))) @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ (big_q @ X2))))) | ($false = rel_s4 @ sK13 @ X1) | ($false = vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X3))) @ p)) <- {6} [HOL not constant elimination 719] 126.57/124.68 721. ($false = rel_s4 @ X1 @ X3) | ($false = exists_in_world @ X2 @ X1) | ($false = vOR_37 @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ p))) @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ (big_q @ X2))))) | ($false = rel_s4 @ sK13 @ X1) | ($false = vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X3))) @ p)) <- {6} [HOL not constant elimination 720] 126.57/124.68 722. ($false = rel_s4 @ X1 @ X3) | ($false = exists_in_world @ X2 @ X1) | ($false = vOR_37 @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ p))) @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ (big_q @ X2))))) | ($false = rel_s4 @ sK13 @ X1) | ($false = sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X3))) @ p @ (sK17 @ X3)) <- {6} [HOL SIGMA constant elimination 721] 126.57/124.68 723. ($false = rel_s4 @ X1 @ X3) | ($false = exists_in_world @ X2 @ X1) | ($false = vOR_37 @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ p))) @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ (big_q @ X2))))) | ($false = rel_s4 @ sK13 @ X1) | ($false = bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X3)) @ (sK17 @ X3) @ (p @ (sK17 @ X3))) <- {6} [S combinator elimination 722] 126.57/124.68 724. ($false = rel_s4 @ X1 @ X3) | ($false = exists_in_world @ X2 @ X1) | ($false = vOR_37 @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ p))) @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ (big_q @ X2))))) | ($false = rel_s4 @ sK13 @ X1) | ($false = vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X3) @ (sK17 @ X3)) @ (p @ (sK17 @ X3))) <- {6} [B combinator elimination 723] 126.57/124.68 725. ($false = vOR_37 @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ p))) @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ (big_q @ X2))))) | ($false = exists_in_world @ X2 @ X1) | ($false = rel_s4 @ X1 @ X3) | ($false = rel_s4 @ sK13 @ X1) | ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ X3 @ (sK17 @ X3))) @ (p @ (sK17 @ X3))) <- {6} [B combinator elimination 724] 126.57/124.68 726. ($false = vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK13))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q)))))) <- {14} [HOL binary constant elimination 520] 126.57/124.68 727. ($false = vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK13))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r)))))) <- {14} [HOL binary constant elimination 520] 126.57/124.68 728. ($false = vOR_37 @ (vNOT_33 @ $true) @ (vOR_37 @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK13))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (sCOMB_22 @ (bCOMB_21 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q))) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p)))))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r))))))))) @ $false)) <- {10, 14} [superposition 379,520] 126.57/124.68 729. ($false = vOR_37 @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK13))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (sCOMB_22 @ (bCOMB_21 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q))) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p)))))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r))))))))) @ $false) <- {6, 14} [superposition 369,520] 126.57/124.68 730. ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ sK12 @ sK13)) @ (vOR_37 @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK13))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (sCOMB_22 @ (bCOMB_21 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q))) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p)))))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r))))))))) @ $false)) <- {2, 14} [superposition 326,520] 126.57/124.68 731. ($false = sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK13))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r)))) @ sK18) <- {14} [HOL SIGMA constant elimination 727] 126.57/124.68 732. ($false = bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK13)) @ sK18 @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r))) @ sK18)) <- {14} [S combinator elimination 731] 126.57/124.68 733. ($false = bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK13)) @ sK18 @ (vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r)) @ sK18))) <- {14} [B combinator elimination 732] 126.57/124.68 734. ($false = bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK13)) @ sK18 @ (vPI_177 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world)) @ sK18 @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r) @ sK18)))) <- {14} [S combinator elimination 733] 126.57/124.68 735. ($false = bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK13)) @ sK18 @ (vPI_177 @ (sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world) @ sK18) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r) @ sK18)))) <- {14} [B combinator elimination 734] 126.57/124.68 736. ($false = bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK13)) @ sK18 @ (vPI_177 @ (sCOMB_176 @ (bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ sK18)) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r) @ sK18)))) <- {14} [B combinator elimination 735] 126.57/124.68 737. ($false = vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK13) @ sK18) @ (vPI_177 @ (sCOMB_176 @ (bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ sK18)) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r) @ sK18)))) <- {14} [B combinator elimination 736] 126.57/124.68 738. ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ sK13 @ sK18)) @ (vPI_177 @ (sCOMB_176 @ (bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ sK18)) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r) @ sK18)))) <- {14} [B combinator elimination 737] 126.57/124.68 739. ($false = sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK13))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q)))) @ sK19) <- {14} [HOL SIGMA constant elimination 726] 126.57/124.68 740. ($false = bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK13)) @ sK19 @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q))) @ sK19)) <- {14} [S combinator elimination 739] 126.57/124.68 741. ($false = bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK13)) @ sK19 @ (vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q)) @ sK19))) <- {14} [B combinator elimination 740] 126.57/124.68 742. ($false = bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK13)) @ sK19 @ (vPI_177 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world)) @ sK19 @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q) @ sK19)))) <- {14} [S combinator elimination 741] 126.57/124.68 743. ($false = bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK13)) @ sK19 @ (vPI_177 @ (sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world) @ sK19) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q) @ sK19)))) <- {14} [B combinator elimination 742] 126.57/124.68 744. ($false = bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK13)) @ sK19 @ (vPI_177 @ (sCOMB_176 @ (bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ sK19)) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q) @ sK19)))) <- {14} [B combinator elimination 743] 126.57/124.68 745. ($false = vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK13) @ sK19) @ (vPI_177 @ (sCOMB_176 @ (bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ sK19)) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q) @ sK19)))) <- {14} [B combinator elimination 744] 126.57/124.68 746. ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ sK13 @ sK19)) @ (vPI_177 @ (sCOMB_176 @ (bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ sK19)) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q) @ sK19)))) <- {14} [B combinator elimination 745] 126.57/124.68 751. 18 <=> ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ sK13 @ sK19)) @ (vPI_177 @ (sCOMB_176 @ (bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ sK19)) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q) @ sK19)))) [avatar definition] 126.57/124.68 752. ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ sK13 @ sK19)) @ (vPI_177 @ (sCOMB_176 @ (bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ sK19)) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q) @ sK19)))) <- {18} [avatar component clause 751] 126.57/124.68 753. 18 | ~14 [avatar split clause 746,519,751] 126.57/124.68 758. 20 <=> ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ sK13 @ sK18)) @ (vPI_177 @ (sCOMB_176 @ (bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ sK18)) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r) @ sK18)))) [avatar definition] 126.57/124.68 759. ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ sK13 @ sK18)) @ (vPI_177 @ (sCOMB_176 @ (bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ sK18)) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r) @ sK18)))) <- {20} [avatar component clause 758] 126.57/124.68 760. 20 | ~14 [avatar split clause 738,519,758] 126.57/124.68 765. 22 <=> ($false = vOR_37 @ (vNOT_33 @ $true) @ (vOR_37 @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK13))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (sCOMB_22 @ (bCOMB_21 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q))) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p)))))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r))))))))) @ $false)) [avatar definition] 126.57/124.68 767. 22 | ~10 | ~14 [avatar split clause 728,519,378,765] 126.57/124.68 772. 24 <=> ($false = vOR_37 @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK13))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (sCOMB_22 @ (bCOMB_21 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q))) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p)))))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r))))))))) @ $false) [avatar definition] 126.57/124.68 774. 24 | ~6 | ~14 [avatar split clause 729,519,368,772] 126.57/124.68 775. ($false = vOR_37 @ (vNOT_33 @ $true) @ (vOR_37 @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK13))) @ (bCOMB_187 @ vPI_177 @ (sCOMB_185 @ (bCOMB_183 @ sCOMB_176 @ (bCOMB_181 @ (bCOMB_174 @ vIMP_37) @ (cCOMB_171 @ exists_in_world))) @ (cCOMB_171 @ (sCOMB_22 @ (bCOMB_21 @ (bCOMB_137 @ sCOMB_41 @ (bCOMB_40 @ vOR_37)) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q))) @ (bCOMB_18 @ (bCOMB_24 @ (bCOMB_34 @ vNOT_33) @ (bCOMB_24 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p)))))))) @ (bCOMB_34 @ vNOT_33))) @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r))))))))) @ $false)) <- {2, 4, 14} [forward demodulation 730,362] 126.57/124.68 776. 22 | ~2 | ~4 | ~14 [avatar split clause 775,519,361,325,765] 126.57/124.68 778. ($false = vNOT_33 @ (rel_s4 @ sK13 @ sK19)) <- {18} [HOL binary constant elimination 752] 126.57/124.68 779. ($false = vPI_177 @ (sCOMB_176 @ (bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ sK19)) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q) @ sK19))) <- {18} [HOL binary constant elimination 752] 126.57/124.68 780. ($false = vOR_37 @ (vNOT_33 @ $true) @ (vPI_177 @ (sCOMB_176 @ (bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ sK19)) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q) @ sK19)))) | ($false = rel_s4 @ sK13 @ X0) | ($false = rel_s4 @ X0 @ sK19) <- {18} [superposition 752,253] 126.57/124.68 781. ($false = sCOMB_176 @ (bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ sK19)) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q) @ sK19) @ sK20) <- {18} [HOL SIGMA constant elimination 779] 126.57/124.68 782. ($false = bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ sK19) @ sK20 @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q) @ sK19 @ sK20)) <- {18} [S combinator elimination 781] 126.57/124.68 783. ($false = bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ sK19) @ sK20 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q @ sK20 @ sK19)) <- {18} [C combinator elimination 782] 126.57/124.68 784. ($false = bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ sK19) @ sK20 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4)))) @ (big_q @ sK20) @ sK19)) <- {18} [B combinator elimination 783] 126.57/124.68 785. ($false = bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ sK19) @ sK20 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (big_q @ sK20)) @ sK19)) <- {18} [B combinator elimination 784] 126.57/124.68 786. ($false = bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ sK19) @ sK20 @ (vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (big_q @ sK20) @ sK19))) <- {18} [B combinator elimination 785] 126.57/124.68 787. ($false = bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ sK19) @ sK20 @ (vPI_16 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4)) @ sK19 @ (big_q @ sK20)))) <- {18} [C combinator elimination 786] 126.57/124.68 788. ($false = bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ sK19) @ sK20 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4) @ sK19) @ (big_q @ sK20)))) <- {18} [B combinator elimination 787] 126.57/124.68 789. ($false = bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ sK19) @ sK20 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4 @ sK19)) @ (big_q @ sK20)))) <- {18} [B combinator elimination 788] 126.57/124.68 790. ($false = bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ sK19) @ sK20 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK19))) @ (big_q @ sK20)))) <- {18} [B combinator elimination 789] 126.57/124.68 791. ($false = vIMP_37 @ (cCOMB_171 @ exists_in_world @ sK19 @ sK20) @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK19))) @ (big_q @ sK20)))) <- {18} [B combinator elimination 790] 126.57/124.68 792. ($false = vIMP_37 @ (exists_in_world @ sK20 @ sK19) @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK19))) @ (big_q @ sK20)))) <- {18} [C combinator elimination 791] 126.57/124.68 793. ($true = rel_s4 @ sK13 @ sK19) <- {18} [HOL not constant elimination 778] 126.57/124.68 798. 26 <=> ($true = rel_s4 @ sK13 @ sK19) [avatar definition] 126.57/124.68 799. ($true = rel_s4 @ sK13 @ sK19) <- {26} [avatar component clause 798] 126.57/124.68 800. 26 | ~18 [avatar split clause 793,751,798] 126.57/124.68 805. 28 <=> ($false = vIMP_37 @ (exists_in_world @ sK20 @ sK19) @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK19))) @ (big_q @ sK20)))) [avatar definition] 126.57/124.68 806. ($false = vIMP_37 @ (exists_in_world @ sK20 @ sK19) @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK19))) @ (big_q @ sK20)))) <- {28} [avatar component clause 805] 126.57/124.68 807. 28 | ~18 [avatar split clause 792,751,805] 126.57/124.68 809. 30 <=> ! [X0] : (($false = rel_s4 @ sK13 @ X0) | ($false = rel_s4 @ X0 @ sK19)) [avatar definition] 126.57/124.68 815. 32 <=> ($false = vOR_37 @ (vNOT_33 @ $true) @ (vPI_177 @ (sCOMB_176 @ (bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ sK19)) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q) @ sK19)))) [avatar definition] 126.57/124.68 816. ($false = vOR_37 @ (vNOT_33 @ $true) @ (vPI_177 @ (sCOMB_176 @ (bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ sK19)) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q) @ sK19)))) <- {32} [avatar component clause 815] 126.57/124.68 817. 30 | 32 | ~18 [avatar split clause 780,751,815,809] 126.57/124.68 818. ($false = vNOT_33 @ (rel_s4 @ sK13 @ sK18)) <- {20} [HOL binary constant elimination 759] 126.57/124.68 819. ($false = vPI_177 @ (sCOMB_176 @ (bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ sK18)) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r) @ sK18))) <- {20} [HOL binary constant elimination 759] 126.57/124.68 820. ($false = vOR_37 @ (vNOT_33 @ $true) @ (vPI_177 @ (sCOMB_176 @ (bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ sK18)) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r) @ sK18)))) | ($false = rel_s4 @ sK13 @ X0) | ($false = rel_s4 @ X0 @ sK18) <- {20} [superposition 759,253] 126.57/124.68 821. ($false = sCOMB_176 @ (bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ sK18)) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r) @ sK18) @ sK21) <- {20} [HOL SIGMA constant elimination 819] 126.57/124.68 822. ($false = bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ sK18) @ sK21 @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r) @ sK18 @ sK21)) <- {20} [S combinator elimination 821] 126.57/124.68 823. ($false = bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ sK18) @ sK21 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r @ sK21 @ sK18)) <- {20} [C combinator elimination 822] 126.57/124.68 824. ($false = bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ sK18) @ sK21 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4)))) @ (big_r @ sK21) @ sK18)) <- {20} [B combinator elimination 823] 126.57/124.68 825. ($false = bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ sK18) @ sK21 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (big_r @ sK21)) @ sK18)) <- {20} [B combinator elimination 824] 126.57/124.68 826. ($false = bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ sK18) @ sK21 @ (vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (big_r @ sK21) @ sK18))) <- {20} [B combinator elimination 825] 126.57/124.68 827. ($false = bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ sK18) @ sK21 @ (vPI_16 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4)) @ sK18 @ (big_r @ sK21)))) <- {20} [C combinator elimination 826] 126.57/124.68 828. ($false = bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ sK18) @ sK21 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4) @ sK18) @ (big_r @ sK21)))) <- {20} [B combinator elimination 827] 126.57/124.68 829. ($false = bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ sK18) @ sK21 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4 @ sK18)) @ (big_r @ sK21)))) <- {20} [B combinator elimination 828] 126.57/124.68 830. ($false = bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ sK18) @ sK21 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK18))) @ (big_r @ sK21)))) <- {20} [B combinator elimination 829] 126.57/124.68 831. ($false = vIMP_37 @ (cCOMB_171 @ exists_in_world @ sK18 @ sK21) @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK18))) @ (big_r @ sK21)))) <- {20} [B combinator elimination 830] 126.57/124.68 832. ($false = vIMP_37 @ (exists_in_world @ sK21 @ sK18) @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK18))) @ (big_r @ sK21)))) <- {20} [C combinator elimination 831] 126.57/124.68 833. ($true = rel_s4 @ sK13 @ sK18) <- {20} [HOL not constant elimination 818] 126.57/124.68 838. 34 <=> ($true = rel_s4 @ sK13 @ sK18) [avatar definition] 126.57/124.68 839. ($true = rel_s4 @ sK13 @ sK18) <- {34} [avatar component clause 838] 126.57/124.68 840. 34 | ~20 [avatar split clause 833,758,838] 126.57/124.68 845. 36 <=> ($false = vIMP_37 @ (exists_in_world @ sK21 @ sK18) @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK18))) @ (big_r @ sK21)))) [avatar definition] 126.57/124.68 846. ($false = vIMP_37 @ (exists_in_world @ sK21 @ sK18) @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK18))) @ (big_r @ sK21)))) <- {36} [avatar component clause 845] 126.57/124.68 847. 36 | ~20 [avatar split clause 832,758,845] 126.57/124.68 849. 38 <=> ! [X0] : (($false = rel_s4 @ sK13 @ X0) | ($false = rel_s4 @ X0 @ sK18)) [avatar definition] 126.57/124.68 855. 40 <=> ($false = vOR_37 @ (vNOT_33 @ $true) @ (vPI_177 @ (sCOMB_176 @ (bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ sK18)) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r) @ sK18)))) [avatar definition] 126.57/124.68 856. ($false = vOR_37 @ (vNOT_33 @ $true) @ (vPI_177 @ (sCOMB_176 @ (bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ sK18)) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r) @ sK18)))) <- {40} [avatar component clause 855] 126.57/124.68 857. 38 | 40 | ~20 [avatar split clause 820,758,855,849] 126.57/124.68 865. ($true != $true) | rel_s4 @ X14 = exists_in_world @ X13 | ($false != exists_in_world @ X13 @ (sK10 @ (exists_in_world @ X13) @ (rel_s4 @ X14))) | ($true != rel_s4 @ X15 @ (sK10 @ (exists_in_world @ X13) @ (rel_s4 @ X14))) | ($true != exists_in_world @ X13 @ X15) [superposition 577,206] 126.57/124.68 866. ($true != $true) | rel_s4 @ X16 = rel_s4 @ X17 | ($false != rel_s4 @ X16 @ (sK10 @ (rel_s4 @ X16) @ (rel_s4 @ X17))) | ($false = rel_s4 @ X16 @ X18) | ($false = rel_s4 @ X18 @ (sK10 @ (rel_s4 @ X16) @ (rel_s4 @ X17))) [superposition 577,253] 126.57/124.68 868. ($false = rel_s4 @ X18 @ (sK10 @ (rel_s4 @ X16) @ (rel_s4 @ X17))) | ($false != rel_s4 @ X16 @ (sK10 @ (rel_s4 @ X16) @ (rel_s4 @ X17))) | ($false = rel_s4 @ X16 @ X18) | rel_s4 @ X16 = rel_s4 @ X17 [trivial inequality removal 866] 126.57/124.68 869. ($true != rel_s4 @ X15 @ (sK10 @ (exists_in_world @ X13) @ (rel_s4 @ X14))) | ($false != exists_in_world @ X13 @ (sK10 @ (exists_in_world @ X13) @ (rel_s4 @ X14))) | rel_s4 @ X14 = exists_in_world @ X13 | ($true != exists_in_world @ X13 @ X15) [trivial inequality removal 865] 126.57/124.68 879. ($false != X6 @ (sK10 @ X6 @ (exists_in_world @ X5))) | exists_in_world @ X5 = X6 | exists_in_world @ X5 = X6 | ($true != X6 @ (sK10 @ X6 @ (exists_in_world @ X5))) [superposition 171,564] 126.57/124.68 882. ($true != X6 @ (sK10 @ X6 @ (exists_in_world @ X5))) | exists_in_world @ X5 = X6 | ($false != X6 @ (sK10 @ X6 @ (exists_in_world @ X5))) [duplicate literal removal 879] 126.57/124.68 885. ($false = vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ p))) | ($false = exists_in_world @ X2 @ X1) | ($false = rel_s4 @ X1 @ X3) | ($false = rel_s4 @ sK13 @ X1) | ($true = big_r @ X2 @ X3) <- {6} [HOL binary constant elimination 707] 126.57/124.68 886. ($false = vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ (big_q @ X2)))) | ($false = exists_in_world @ X2 @ X1) | ($false = rel_s4 @ X1 @ X3) | ($false = rel_s4 @ sK13 @ X1) | ($true = big_r @ X2 @ X3) <- {6} [HOL binary constant elimination 707] 126.57/124.68 887. ($true = vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ (big_q @ X2))) | ($false = exists_in_world @ X2 @ X1) | ($false = rel_s4 @ X1 @ X3) | ($false = rel_s4 @ sK13 @ X1) | ($true = big_r @ X2 @ X3) <- {6} [HOL not constant elimination 886] 126.57/124.68 888. ($true = sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ (big_q @ X2) @ X4) | ($false = exists_in_world @ X2 @ X1) | ($false = rel_s4 @ X1 @ X3) | ($false = rel_s4 @ sK13 @ X1) | ($true = big_r @ X2 @ X3) <- {6} [HOL PI constant elimination 887] 126.57/124.68 889. ($true = bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1)) @ X4 @ (big_q @ X2 @ X4)) | ($false = exists_in_world @ X2 @ X1) | ($false = rel_s4 @ X1 @ X3) | ($false = rel_s4 @ sK13 @ X1) | ($true = big_r @ X2 @ X3) <- {6} [S combinator elimination 888] 126.57/124.68 890. ($true = vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1) @ X4) @ (big_q @ X2 @ X4)) | ($false = exists_in_world @ X2 @ X1) | ($false = rel_s4 @ X1 @ X3) | ($false = rel_s4 @ sK13 @ X1) | ($true = big_r @ X2 @ X3) <- {6} [B combinator elimination 889] 126.57/124.68 891. ($true = vOR_37 @ (vNOT_33 @ (rel_s4 @ X1 @ X4)) @ (big_q @ X2 @ X4)) | ($false = exists_in_world @ X2 @ X1) | ($false = rel_s4 @ X1 @ X3) | ($false = rel_s4 @ sK13 @ X1) | ($true = big_r @ X2 @ X3) <- {6} [B combinator elimination 890] 126.57/124.68 892. ($true = vNOT_33 @ (rel_s4 @ X1 @ X4)) | ($false = exists_in_world @ X2 @ X1) | ($false = rel_s4 @ X1 @ X3) | ($false = rel_s4 @ sK13 @ X1) | ($true = big_r @ X2 @ X3) | ($true = big_q @ X2 @ X4) <- {6} [HOL binary constant elimination 891] 126.57/124.68 893. ($true = big_q @ X2 @ X4) | ($false = exists_in_world @ X2 @ X1) | ($false = rel_s4 @ X1 @ X3) | ($false = rel_s4 @ sK13 @ X1) | ($true = big_r @ X2 @ X3) | ($false = rel_s4 @ X1 @ X4) <- {6} [HOL not constant elimination 892] 126.57/124.68 894. ($true = vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ p)) | ($false = exists_in_world @ X2 @ X1) | ($false = rel_s4 @ X1 @ X3) | ($false = rel_s4 @ sK13 @ X1) | ($true = big_r @ X2 @ X3) <- {6} [HOL not constant elimination 885] 126.57/124.68 895. ($true = sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ p @ X4) | ($false = exists_in_world @ X2 @ X1) | ($false = rel_s4 @ X1 @ X3) | ($false = rel_s4 @ sK13 @ X1) | ($true = big_r @ X2 @ X3) <- {6} [HOL PI constant elimination 894] 126.57/124.68 896. ($true = bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1)) @ X4 @ (p @ X4)) | ($false = exists_in_world @ X2 @ X1) | ($false = rel_s4 @ X1 @ X3) | ($false = rel_s4 @ sK13 @ X1) | ($true = big_r @ X2 @ X3) <- {6} [S combinator elimination 895] 126.57/124.68 897. ($true = vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1) @ X4) @ (p @ X4)) | ($false = exists_in_world @ X2 @ X1) | ($false = rel_s4 @ X1 @ X3) | ($false = rel_s4 @ sK13 @ X1) | ($true = big_r @ X2 @ X3) <- {6} [B combinator elimination 896] 126.57/124.68 898. ($true = vOR_37 @ (vNOT_33 @ (rel_s4 @ X1 @ X4)) @ (p @ X4)) | ($false = exists_in_world @ X2 @ X1) | ($false = rel_s4 @ X1 @ X3) | ($false = rel_s4 @ sK13 @ X1) | ($true = big_r @ X2 @ X3) <- {6} [B combinator elimination 897] 126.57/124.68 899. ($true = vNOT_33 @ (rel_s4 @ X1 @ X4)) | ($false = exists_in_world @ X2 @ X1) | ($false = rel_s4 @ X1 @ X3) | ($false = rel_s4 @ sK13 @ X1) | ($true = big_r @ X2 @ X3) | ($true = p @ X4) <- {6} [HOL binary constant elimination 898] 126.57/124.68 900. ($true = big_r @ X2 @ X3) | ($false = exists_in_world @ X2 @ X1) | ($false = rel_s4 @ X1 @ X3) | ($false = rel_s4 @ sK13 @ X1) | ($false = rel_s4 @ X1 @ X4) | ($true = p @ X4) <- {6} [HOL not constant elimination 899] 126.57/124.68 907. ($false != $false) | sK0 @ vSIGMA_16 @ X13 = sK0 @ vSIGMA_16 @ X14 | vSIGMA_16 = X14 | ($true != X14 @ (sK0 @ vSIGMA_16 @ X14)) | vSIGMA_16 = X13 | ($true != X13 @ (sK0 @ vSIGMA_16 @ X13)) [superposition 545,396] 126.57/124.68 908. sK0 @ vSIGMA_16 @ X13 = sK0 @ vSIGMA_16 @ X14 | vSIGMA_16 = X14 | ($true != X14 @ (sK0 @ vSIGMA_16 @ X14)) | vSIGMA_16 = X13 | ($true != X13 @ (sK0 @ vSIGMA_16 @ X13)) [trivial inequality removal 907] 126.57/124.68 916. ($true = exists_in_world @ (sK11 @ sK12) @ sK19) <- {12, 26} [unit resulting resolution 389,799,206] 126.57/124.68 917. ($true = exists_in_world @ (sK11 @ sK13) @ sK19) <- {26} [unit resulting resolution 205,799,206] 126.57/124.68 923. 42 <=> ($true = exists_in_world @ (sK11 @ sK13) @ sK19) [avatar definition] 126.57/124.68 924. ($true = exists_in_world @ (sK11 @ sK13) @ sK19) <- {42} [avatar component clause 923] 126.57/124.68 925. 42 | ~26 [avatar split clause 917,798,923] 126.57/124.68 930. 44 <=> ($true = exists_in_world @ (sK11 @ sK12) @ sK19) [avatar definition] 126.57/124.68 931. ($true = exists_in_world @ (sK11 @ sK12) @ sK19) <- {44} [avatar component clause 930] 126.57/124.68 932. 44 | ~12 | ~26 [avatar split clause 916,798,388,930] 126.57/124.68 951. ($false = vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ p))) | ($false = exists_in_world @ X2 @ X1) | ($false = rel_s4 @ X1 @ X3) | ($false = rel_s4 @ sK13 @ X1) | ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ X3 @ (sK17 @ X3))) @ (p @ (sK17 @ X3))) <- {6} [HOL binary constant elimination 725] 126.57/124.68 952. ($false = vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ (big_q @ X2)))) | ($false = exists_in_world @ X2 @ X1) | ($false = rel_s4 @ X1 @ X3) | ($false = rel_s4 @ sK13 @ X1) | ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ X3 @ (sK17 @ X3))) @ (p @ (sK17 @ X3))) <- {6} [HOL binary constant elimination 725] 126.57/124.68 953. ($true = vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ (big_q @ X2))) | ($false = exists_in_world @ X2 @ X1) | ($false = rel_s4 @ X1 @ X3) | ($false = rel_s4 @ sK13 @ X1) | ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ X3 @ (sK17 @ X3))) @ (p @ (sK17 @ X3))) <- {6} [HOL not constant elimination 952] 126.57/124.68 954. ($true = sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ (big_q @ X2) @ X4) | ($false = exists_in_world @ X2 @ X1) | ($false = rel_s4 @ X1 @ X3) | ($false = rel_s4 @ sK13 @ X1) | ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ X3 @ (sK17 @ X3))) @ (p @ (sK17 @ X3))) <- {6} [HOL PI constant elimination 953] 126.57/124.68 955. ($true = bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1)) @ X4 @ (big_q @ X2 @ X4)) | ($false = exists_in_world @ X2 @ X1) | ($false = rel_s4 @ X1 @ X3) | ($false = rel_s4 @ sK13 @ X1) | ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ X3 @ (sK17 @ X3))) @ (p @ (sK17 @ X3))) <- {6} [S combinator elimination 954] 126.57/124.68 956. ($true = vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1) @ X4) @ (big_q @ X2 @ X4)) | ($false = exists_in_world @ X2 @ X1) | ($false = rel_s4 @ X1 @ X3) | ($false = rel_s4 @ sK13 @ X1) | ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ X3 @ (sK17 @ X3))) @ (p @ (sK17 @ X3))) <- {6} [B combinator elimination 955] 126.57/124.68 957. ($true = vOR_37 @ (vNOT_33 @ (rel_s4 @ X1 @ X4)) @ (big_q @ X2 @ X4)) | ($false = exists_in_world @ X2 @ X1) | ($false = rel_s4 @ X1 @ X3) | ($false = rel_s4 @ sK13 @ X1) | ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ X3 @ (sK17 @ X3))) @ (p @ (sK17 @ X3))) <- {6} [B combinator elimination 956] 126.57/124.68 958. ($true = vNOT_33 @ (rel_s4 @ X1 @ X4)) | ($false = exists_in_world @ X2 @ X1) | ($false = rel_s4 @ X1 @ X3) | ($false = rel_s4 @ sK13 @ X1) | ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ X3 @ (sK17 @ X3))) @ (p @ (sK17 @ X3))) | ($true = big_q @ X2 @ X4) <- {6} [HOL binary constant elimination 957] 126.57/124.68 959. ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ X3 @ (sK17 @ X3))) @ (p @ (sK17 @ X3))) | ($false = exists_in_world @ X2 @ X1) | ($false = rel_s4 @ X1 @ X3) | ($false = rel_s4 @ sK13 @ X1) | ($false = rel_s4 @ X1 @ X4) | ($true = big_q @ X2 @ X4) <- {6} [HOL not constant elimination 958] 126.57/124.68 960. ($true = vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ p)) | ($false = exists_in_world @ X2 @ X1) | ($false = rel_s4 @ X1 @ X3) | ($false = rel_s4 @ sK13 @ X1) | ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ X3 @ (sK17 @ X3))) @ (p @ (sK17 @ X3))) <- {6} [HOL not constant elimination 951] 126.57/124.68 961. ($true = sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1))) @ p @ X4) | ($false = exists_in_world @ X2 @ X1) | ($false = rel_s4 @ X1 @ X3) | ($false = rel_s4 @ sK13 @ X1) | ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ X3 @ (sK17 @ X3))) @ (p @ (sK17 @ X3))) <- {6} [HOL PI constant elimination 960] 126.57/124.68 962. ($true = bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1)) @ X4 @ (p @ X4)) | ($false = exists_in_world @ X2 @ X1) | ($false = rel_s4 @ X1 @ X3) | ($false = rel_s4 @ sK13 @ X1) | ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ X3 @ (sK17 @ X3))) @ (p @ (sK17 @ X3))) <- {6} [S combinator elimination 961] 126.57/124.68 963. ($true = vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ X1) @ X4) @ (p @ X4)) | ($false = exists_in_world @ X2 @ X1) | ($false = rel_s4 @ X1 @ X3) | ($false = rel_s4 @ sK13 @ X1) | ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ X3 @ (sK17 @ X3))) @ (p @ (sK17 @ X3))) <- {6} [B combinator elimination 962] 126.57/124.68 964. ($true = vOR_37 @ (vNOT_33 @ (rel_s4 @ X1 @ X4)) @ (p @ X4)) | ($false = exists_in_world @ X2 @ X1) | ($false = rel_s4 @ X1 @ X3) | ($false = rel_s4 @ sK13 @ X1) | ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ X3 @ (sK17 @ X3))) @ (p @ (sK17 @ X3))) <- {6} [B combinator elimination 963] 126.57/124.68 965. ($true = vNOT_33 @ (rel_s4 @ X1 @ X4)) | ($false = exists_in_world @ X2 @ X1) | ($false = rel_s4 @ X1 @ X3) | ($false = rel_s4 @ sK13 @ X1) | ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ X3 @ (sK17 @ X3))) @ (p @ (sK17 @ X3))) | ($true = p @ X4) <- {6} [HOL binary constant elimination 964] 126.57/124.68 966. ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ X3 @ (sK17 @ X3))) @ (p @ (sK17 @ X3))) | ($false = exists_in_world @ X2 @ X1) | ($false = rel_s4 @ X1 @ X3) | ($false = rel_s4 @ sK13 @ X1) | ($false = rel_s4 @ X1 @ X4) | ($true = p @ X4) <- {6} [HOL not constant elimination 965] 126.57/124.68 968. ($false = $true) | ($false != rel_s4 @ X29 @ (sK10 @ X28 @ (rel_s4 @ X29))) | ($false = rel_s4 @ X29 @ X27) | rel_s4 @ X29 = X28 | ($false = rel_s4 @ X27 @ X30) | ($false = rel_s4 @ X30 @ (sK10 @ X28 @ (rel_s4 @ X29))) [superposition 556,253] 126.57/124.68 973. ($false != X30 @ (sK10 @ X30 @ (rel_s4 @ X29))) | rel_s4 @ X29 = X30 | ($false != rel_s4 @ X29 @ (sK10 @ X30 @ (rel_s4 @ X29))) | ($false = rel_s4 @ X29 @ X29) | rel_s4 @ X29 = X30 [superposition 171,556] 126.57/124.68 975. ($false != rel_s4 @ X36 @ (sK10 @ (rel_s4 @ X35) @ (rel_s4 @ X36))) | rel_s4 @ X35 = rel_s4 @ X36 | ($false != rel_s4 @ X36 @ (sK10 @ (rel_s4 @ X35) @ (rel_s4 @ X36))) | ($false = rel_s4 @ X36 @ X35) | rel_s4 @ X35 = rel_s4 @ X36 [superposition 171,556] 126.57/124.68 981. ($false != rel_s4 @ X36 @ (sK10 @ (rel_s4 @ X35) @ (rel_s4 @ X36))) | rel_s4 @ X35 = rel_s4 @ X36 | ($false = rel_s4 @ X36 @ X35) [duplicate literal removal 975] 126.57/124.68 983. ($false != X30 @ (sK10 @ X30 @ (rel_s4 @ X29))) | rel_s4 @ X29 = X30 | ($false != rel_s4 @ X29 @ (sK10 @ X30 @ (rel_s4 @ X29))) | ($false = rel_s4 @ X29 @ X29) [duplicate literal removal 973] 126.57/124.68 988. ($false = rel_s4 @ X30 @ (sK10 @ X28 @ (rel_s4 @ X29))) | ($false = rel_s4 @ X29 @ X27) | rel_s4 @ X29 = X28 | ($false = rel_s4 @ X27 @ X30) | ($false != rel_s4 @ X29 @ (sK10 @ X28 @ (rel_s4 @ X29))) [global subsumption 39,968] 126.57/124.68 989. ($false = $true) | ($false != X30 @ (sK10 @ X30 @ (rel_s4 @ X29))) | rel_s4 @ X29 = X30 | ($false != rel_s4 @ X29 @ (sK10 @ X30 @ (rel_s4 @ X29))) [forward demodulation 983,258] 126.57/124.68 990. ($false != rel_s4 @ X29 @ (sK10 @ X30 @ (rel_s4 @ X29))) | rel_s4 @ X29 = X30 | ($false != X30 @ (sK10 @ X30 @ (rel_s4 @ X29))) [global subsumption 39,989] 126.57/124.68 991. ($true != $true) | ($false != exists_in_world @ X5 @ (sK10 @ X6 @ (exists_in_world @ X5))) | exists_in_world @ X5 = X6 | ($true != exists_in_world @ X5 @ X7) | ($false = rel_s4 @ X7 @ (sK10 @ X6 @ (exists_in_world @ X5))) [fool paramodulation 557] 126.57/124.68 1000. ($true != $true) | ($false != exists_in_world @ X27 @ (sK10 @ X26 @ (exists_in_world @ X27))) | exists_in_world @ X27 = X26 | ($true != exists_in_world @ X27 @ X25) | ($false = rel_s4 @ X25 @ X28) | ($false = rel_s4 @ X28 @ (sK10 @ X26 @ (exists_in_world @ X27))) [superposition 557,253] 126.57/124.68 1001. ($false = rel_s4 @ X28 @ (sK10 @ X26 @ (exists_in_world @ X27))) | exists_in_world @ X27 = X26 | ($true != exists_in_world @ X27 @ X25) | ($false = rel_s4 @ X25 @ X28) | ($false != exists_in_world @ X27 @ (sK10 @ X26 @ (exists_in_world @ X27))) [trivial inequality removal 1000] 126.57/124.68 1010. ($false = rel_s4 @ X7 @ (sK10 @ X6 @ (exists_in_world @ X5))) | exists_in_world @ X5 = X6 | ($true != exists_in_world @ X5 @ X7) | ($false != exists_in_world @ X5 @ (sK10 @ X6 @ (exists_in_world @ X5))) [trivial inequality removal 991] 126.57/124.68 1029. ($false = $true) | ($true != exists_in_world @ X34 @ X36) | ($false = rel_s4 @ X36 @ X37) | exists_in_world @ X34 = X35 | ($false = rel_s4 @ X37 @ X33) | ($true != X35 @ (sK10 @ (exists_in_world @ X34) @ X35)) | ($false = rel_s4 @ X33 @ X38) | ($false = rel_s4 @ X38 @ (sK10 @ (exists_in_world @ X34) @ X35)) [superposition 633,253] 126.57/124.68 1046. ($false = rel_s4 @ X38 @ (sK10 @ (exists_in_world @ X34) @ X35)) | ($false = rel_s4 @ X36 @ X37) | exists_in_world @ X34 = X35 | ($false = rel_s4 @ X37 @ X33) | ($true != X35 @ (sK10 @ (exists_in_world @ X34) @ X35)) | ($false = rel_s4 @ X33 @ X38) | ($true != exists_in_world @ X34 @ X36) [global subsumption 39,1029] 126.57/124.68 1074. ($false = $true) | ($true != X40 @ (sK10 @ (rel_s4 @ X39) @ X40)) | ($false = rel_s4 @ X41 @ X42) | rel_s4 @ X39 = X40 | ($false = rel_s4 @ X42 @ X38) | ($false = rel_s4 @ X39 @ X41) | ($false = rel_s4 @ X38 @ X43) | ($false = rel_s4 @ X43 @ (sK10 @ (rel_s4 @ X39) @ X40)) [superposition 667,253] 126.57/124.68 1079. ($false != rel_s4 @ X48 @ (sK10 @ (rel_s4 @ X48) @ (rel_s4 @ X47))) | rel_s4 @ X47 = rel_s4 @ X48 | ($true != rel_s4 @ X47 @ (sK10 @ (rel_s4 @ X48) @ (rel_s4 @ X47))) | ($false = rel_s4 @ X49 @ X50) | rel_s4 @ X47 = rel_s4 @ X48 | ($false = rel_s4 @ X50 @ X47) | ($false = rel_s4 @ X48 @ X49) [superposition 171,667] 126.57/124.68 1095. ($true != rel_s4 @ X47 @ (sK10 @ (rel_s4 @ X48) @ (rel_s4 @ X47))) | rel_s4 @ X47 = rel_s4 @ X48 | ($false != rel_s4 @ X48 @ (sK10 @ (rel_s4 @ X48) @ (rel_s4 @ X47))) | ($false = rel_s4 @ X49 @ X50) | ($false = rel_s4 @ X50 @ X47) | ($false = rel_s4 @ X48 @ X49) [duplicate literal removal 1079] 126.57/124.68 1100. ($false = rel_s4 @ X43 @ (sK10 @ (rel_s4 @ X39) @ X40)) | ($false = rel_s4 @ X41 @ X42) | rel_s4 @ X39 = X40 | ($false = rel_s4 @ X42 @ X38) | ($false = rel_s4 @ X39 @ X41) | ($false = rel_s4 @ X38 @ X43) | ($true != X40 @ (sK10 @ (rel_s4 @ X39) @ X40)) [global subsumption 39,1074] 126.57/124.68 1102. ($true = exists_in_world @ (sK11 @ sK12) @ sK18) <- {12, 34} [unit resulting resolution 389,839,206] 126.57/124.68 1103. ($true = exists_in_world @ (sK11 @ sK13) @ sK18) <- {34} [unit resulting resolution 205,839,206] 126.57/124.68 1109. 46 <=> ($true = exists_in_world @ (sK11 @ sK13) @ sK18) [avatar definition] 126.57/124.68 1110. ($true = exists_in_world @ (sK11 @ sK13) @ sK18) <- {46} [avatar component clause 1109] 126.57/124.68 1111. 46 | ~34 [avatar split clause 1103,838,1109] 126.57/124.68 1116. 48 <=> ($true = exists_in_world @ (sK11 @ sK12) @ sK18) [avatar definition] 126.57/124.68 1117. ($true = exists_in_world @ (sK11 @ sK12) @ sK18) <- {48} [avatar component clause 1116] 126.57/124.68 1118. 48 | ~12 | ~34 [avatar split clause 1102,838,388,1116] 126.57/124.68 1205. ($false != rel_s4 @ X34 @ (sK10 @ (rel_s4 @ X34) @ (rel_s4 @ X33))) | rel_s4 @ X33 = rel_s4 @ X34 | ($false = rel_s4 @ X34 @ X33) | ($false != rel_s4 @ X34 @ (sK10 @ (rel_s4 @ X34) @ (rel_s4 @ X33))) | ($false = rel_s4 @ X33 @ X33) | rel_s4 @ X33 = rel_s4 @ X34 [superposition 171,691] 126.57/124.68 1212. ($false != rel_s4 @ X34 @ (sK10 @ (rel_s4 @ X34) @ (rel_s4 @ X33))) | rel_s4 @ X33 = rel_s4 @ X34 | ($false = rel_s4 @ X34 @ X33) | ($false = rel_s4 @ X33 @ X33) [duplicate literal removal 1205] 126.57/124.68 1285. ($true = exists_in_world @ sK20 @ sK19) <- {28} [HOL binary constant elimination 806] 126.57/124.68 1286. ($false = vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK19))) @ (big_q @ sK20))) <- {28} [HOL binary constant elimination 806] 126.57/124.68 1287. ($false = vIMP_37 @ $true @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK19))) @ (big_q @ sK20)))) | ($true != rel_s4 @ X0 @ sK19) | ($true != exists_in_world @ sK20 @ X0) <- {28} [superposition 806,206] 126.57/124.68 1288. ($false = sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK19))) @ (big_q @ sK20) @ sK22) <- {28} [HOL SIGMA constant elimination 1286] 126.57/124.68 1289. ($false = bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK19)) @ sK22 @ (big_q @ sK20 @ sK22)) <- {28} [S combinator elimination 1288] 126.57/124.68 1290. ($false = vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK19) @ sK22) @ (big_q @ sK20 @ sK22)) <- {28} [B combinator elimination 1289] 126.57/124.68 1291. ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ sK19 @ sK22)) @ (big_q @ sK20 @ sK22)) <- {28} [B combinator elimination 1290] 126.57/124.68 1296. 50 <=> ($true = exists_in_world @ sK20 @ sK19) [avatar definition] 126.57/124.68 1297. ($true = exists_in_world @ sK20 @ sK19) <- {50} [avatar component clause 1296] 126.57/124.68 1298. 50 | ~28 [avatar split clause 1285,805,1296] 126.57/124.68 1303. 52 <=> ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ sK19 @ sK22)) @ (big_q @ sK20 @ sK22)) [avatar definition] 126.57/124.68 1304. ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ sK19 @ sK22)) @ (big_q @ sK20 @ sK22)) <- {52} [avatar component clause 1303] 126.57/124.68 1305. 52 | ~28 [avatar split clause 1291,805,1303] 126.57/124.68 1307. 54 <=> ! [X0] : (($true != rel_s4 @ X0 @ sK19) | ($true != exists_in_world @ sK20 @ X0)) [avatar definition] 126.57/124.68 1313. 56 <=> ($false = vIMP_37 @ $true @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK19))) @ (big_q @ sK20)))) [avatar definition] 126.57/124.68 1314. ($false = vIMP_37 @ $true @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK19))) @ (big_q @ sK20)))) <- {56} [avatar component clause 1313] 126.57/124.68 1315. 54 | 56 | ~28 [avatar split clause 1287,805,1313,1307] 126.57/124.68 1316. ($true = exists_in_world @ sK21 @ sK18) <- {36} [HOL binary constant elimination 846] 126.57/124.68 1317. ($false = vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK18))) @ (big_r @ sK21))) <- {36} [HOL binary constant elimination 846] 126.57/124.68 1318. ($false = vIMP_37 @ $true @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK18))) @ (big_r @ sK21)))) | ($true != rel_s4 @ X0 @ sK18) | ($true != exists_in_world @ sK21 @ X0) <- {36} [superposition 846,206] 126.57/124.68 1319. ($false = sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK18))) @ (big_r @ sK21) @ sK23) <- {36} [HOL SIGMA constant elimination 1317] 126.57/124.68 1320. ($false = bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK18)) @ sK23 @ (big_r @ sK21 @ sK23)) <- {36} [S combinator elimination 1319] 126.57/124.68 1321. ($false = vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK18) @ sK23) @ (big_r @ sK21 @ sK23)) <- {36} [B combinator elimination 1320] 126.57/124.68 1322. ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ sK18 @ sK23)) @ (big_r @ sK21 @ sK23)) <- {36} [B combinator elimination 1321] 126.57/124.68 1327. 58 <=> ($true = exists_in_world @ sK21 @ sK18) [avatar definition] 126.57/124.68 1328. ($true = exists_in_world @ sK21 @ sK18) <- {58} [avatar component clause 1327] 126.57/124.68 1329. 58 | ~36 [avatar split clause 1316,845,1327] 126.57/124.68 1334. 60 <=> ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ sK18 @ sK23)) @ (big_r @ sK21 @ sK23)) [avatar definition] 126.57/124.68 1335. ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ sK18 @ sK23)) @ (big_r @ sK21 @ sK23)) <- {60} [avatar component clause 1334] 126.57/124.68 1336. 60 | ~36 [avatar split clause 1322,845,1334] 126.57/124.68 1338. 62 <=> ! [X0] : (($true != rel_s4 @ X0 @ sK18) | ($true != exists_in_world @ sK21 @ X0)) [avatar definition] 126.57/124.68 1344. 64 <=> ($false = vIMP_37 @ $true @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK18))) @ (big_r @ sK21)))) [avatar definition] 126.57/124.68 1345. ($false = vIMP_37 @ $true @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK18))) @ (big_r @ sK21)))) <- {64} [avatar component clause 1344] 126.57/124.68 1346. 62 | 64 | ~36 [avatar split clause 1318,845,1344,1338] 126.57/124.68 1351. ($false = $true) | ($false = exists_in_world @ X2 @ X4) | ($false = rel_s4 @ X4 @ (sK10 @ (big_r @ X2) @ X3)) | ($false = rel_s4 @ sK13 @ X4) | ($false = rel_s4 @ X4 @ X5) | ($true = p @ X5) | big_r @ X2 = X3 | ($true != X3 @ (sK10 @ (big_r @ X2) @ X3)) <- {6} [superposition 900,342] 126.57/124.68 1352. ($true != $true) | big_r @ X0 = X1 | ($false != big_r @ X0 @ (sK10 @ X1 @ (big_r @ X0))) | ($false = exists_in_world @ X0 @ X2) | ($false = rel_s4 @ X2 @ (sK10 @ X1 @ (big_r @ X0))) | ($false = rel_s4 @ sK13 @ X2) | ($false = rel_s4 @ X2 @ X3) | ($true = p @ X3) <- {6} [superposition 409,900] 126.57/124.68 1353. ($false = rel_s4 @ X6 @ (sK10 @ X5 @ (big_r @ X4))) | big_r @ X4 = X5 | ($false = exists_in_world @ X4 @ X6) | ($true != X5 @ (sK10 @ X5 @ (big_r @ X4))) | ($false = rel_s4 @ sK13 @ X6) | ($false = rel_s4 @ X6 @ X7) | ($true = p @ X7) <- {6} [superposition 171,900] 126.57/124.68 1354. ($false = $true) | big_r @ X8 = X9 | ($true != X9 @ (sK10 @ (big_r @ X8) @ X9)) | ($false = exists_in_world @ X8 @ X10) | ($false = rel_s4 @ X10 @ (sK10 @ (big_r @ X8) @ X9)) | ($false = rel_s4 @ sK13 @ X10) | ($false = rel_s4 @ X10 @ X11) | ($true = p @ X11) <- {6} [superposition 342,900] 126.57/124.68 1355. ($false = rel_s4 @ X14 @ (sK10 @ (big_r @ X12) @ X13)) | big_r @ X12 = X13 | ($false = exists_in_world @ X12 @ X14) | ($true != X13 @ (sK10 @ (big_r @ X12) @ X13)) | ($false = rel_s4 @ sK13 @ X14) | ($false = rel_s4 @ X14 @ X15) | ($true = p @ X15) <- {6} [superposition 171,900] 126.57/124.68 1356. ($true != $true) | rel_s4 @ X17 = big_r @ X16 | ($false != big_r @ X16 @ (sK10 @ (big_r @ X16) @ (rel_s4 @ X17))) | ($false = exists_in_world @ X16 @ X18) | ($false = rel_s4 @ X18 @ (sK10 @ (big_r @ X16) @ (rel_s4 @ X17))) | ($false = rel_s4 @ sK13 @ X18) | ($false = rel_s4 @ X18 @ X19) | ($true = p @ X19) <- {6} [superposition 577,900] 126.57/124.68 1359. ($false = rel_s4 @ X18 @ (sK10 @ (big_r @ X16) @ (rel_s4 @ X17))) | ($false != big_r @ X16 @ (sK10 @ (big_r @ X16) @ (rel_s4 @ X17))) | ($false = exists_in_world @ X16 @ X18) | rel_s4 @ X17 = big_r @ X16 | ($false = rel_s4 @ sK13 @ X18) | ($false = rel_s4 @ X18 @ X19) | ($true = p @ X19) <- {6} [trivial inequality removal 1356] 126.57/124.68 1360. ($false = rel_s4 @ X2 @ (sK10 @ X1 @ (big_r @ X0))) | ($false != big_r @ X0 @ (sK10 @ X1 @ (big_r @ X0))) | ($false = exists_in_world @ X0 @ X2) | big_r @ X0 = X1 | ($false = rel_s4 @ sK13 @ X2) | ($false = rel_s4 @ X2 @ X3) | ($true = p @ X3) <- {6} [trivial inequality removal 1352] 126.57/124.68 1362. 66 <=> ! [X3 : ($i > $o),X5,X2 : mu,X4] : (($false = exists_in_world @ X2 @ X4) | ($true != X3 @ (sK10 @ (big_r @ X2) @ X3)) | big_r @ X2 = X3 | ($true = p @ X5) | ($false = rel_s4 @ X4 @ X5) | ($false = rel_s4 @ sK13 @ X4) | ($false = rel_s4 @ X4 @ (sK10 @ (big_r @ X2) @ X3))) [avatar definition] 126.57/124.68 1364. 66 | 0 | ~6 [avatar split clause 1351,368,315,1362] 126.57/124.68 1365. 66 | 0 | ~6 [avatar split clause 1354,368,315,1362] 126.57/124.68 1367. ($false = $true) | ($false = exists_in_world @ X2 @ X4) | ($false = rel_s4 @ X4 @ X5) | ($false = rel_s4 @ sK13 @ X4) | ($true = big_r @ X2 @ X5) | ($false = rel_s4 @ X4 @ (sK10 @ (big_q @ X2) @ X3)) | big_q @ X2 = X3 | ($true != X3 @ (sK10 @ (big_q @ X2) @ X3)) <- {6} [superposition 893,342] 126.57/124.68 1368. ($true != $true) | big_q @ X0 = X1 | ($false != big_q @ X0 @ (sK10 @ X1 @ (big_q @ X0))) | ($false = exists_in_world @ X0 @ X2) | ($false = rel_s4 @ X2 @ X3) | ($false = rel_s4 @ sK13 @ X2) | ($true = big_r @ X0 @ X3) | ($false = rel_s4 @ X2 @ (sK10 @ X1 @ (big_q @ X0))) <- {6} [superposition 409,893] 126.57/124.68 1369. ($false = rel_s4 @ X6 @ (sK10 @ X5 @ (big_q @ X4))) | big_q @ X4 = X5 | ($false = exists_in_world @ X4 @ X6) | ($false = rel_s4 @ X6 @ X7) | ($false = rel_s4 @ sK13 @ X6) | ($true = big_r @ X4 @ X7) | ($true != X5 @ (sK10 @ X5 @ (big_q @ X4))) <- {6} [superposition 171,893] 126.57/124.68 1370. ($false = $true) | big_q @ X8 = X9 | ($true != X9 @ (sK10 @ (big_q @ X8) @ X9)) | ($false = exists_in_world @ X8 @ X10) | ($false = rel_s4 @ X10 @ X11) | ($false = rel_s4 @ sK13 @ X10) | ($true = big_r @ X8 @ X11) | ($false = rel_s4 @ X10 @ (sK10 @ (big_q @ X8) @ X9)) <- {6} [superposition 342,893] 126.57/124.68 1371. ($false = rel_s4 @ X14 @ (sK10 @ (big_q @ X12) @ X13)) | big_q @ X12 = X13 | ($false = exists_in_world @ X12 @ X14) | ($false = rel_s4 @ X14 @ X15) | ($false = rel_s4 @ sK13 @ X14) | ($true = big_r @ X12 @ X15) | ($true != X13 @ (sK10 @ (big_q @ X12) @ X13)) <- {6} [superposition 171,893] 126.57/124.68 1372. ($true != $true) | rel_s4 @ X17 = big_q @ X16 | ($false != big_q @ X16 @ (sK10 @ (big_q @ X16) @ (rel_s4 @ X17))) | ($false = exists_in_world @ X16 @ X18) | ($false = rel_s4 @ X18 @ X19) | ($false = rel_s4 @ sK13 @ X18) | ($true = big_r @ X16 @ X19) | ($false = rel_s4 @ X18 @ (sK10 @ (big_q @ X16) @ (rel_s4 @ X17))) <- {6} [superposition 577,893] 126.57/124.68 1375. ($false = rel_s4 @ X18 @ (sK10 @ (big_q @ X16) @ (rel_s4 @ X17))) | ($false != big_q @ X16 @ (sK10 @ (big_q @ X16) @ (rel_s4 @ X17))) | ($false = exists_in_world @ X16 @ X18) | ($false = rel_s4 @ X18 @ X19) | ($false = rel_s4 @ sK13 @ X18) | ($true = big_r @ X16 @ X19) | rel_s4 @ X17 = big_q @ X16 <- {6} [trivial inequality removal 1372] 126.57/124.68 1376. ($false = rel_s4 @ X2 @ (sK10 @ X1 @ (big_q @ X0))) | ($false != big_q @ X0 @ (sK10 @ X1 @ (big_q @ X0))) | ($false = exists_in_world @ X0 @ X2) | ($false = rel_s4 @ X2 @ X3) | ($false = rel_s4 @ sK13 @ X2) | ($true = big_r @ X0 @ X3) | big_q @ X0 = X1 <- {6} [trivial inequality removal 1368] 126.57/124.68 1378. 68 <=> ! [X3 : ($i > $o),X5,X2 : mu,X4] : (($false = exists_in_world @ X2 @ X4) | ($true != X3 @ (sK10 @ (big_q @ X2) @ X3)) | big_q @ X2 = X3 | ($false = rel_s4 @ X4 @ (sK10 @ (big_q @ X2) @ X3)) | ($true = big_r @ X2 @ X5) | ($false = rel_s4 @ sK13 @ X4) | ($false = rel_s4 @ X4 @ X5)) [avatar definition] 126.57/124.68 1380. 68 | 0 | ~6 [avatar split clause 1367,368,315,1378] 126.57/124.68 1381. 68 | 0 | ~6 [avatar split clause 1370,368,315,1378] 126.57/124.68 1382. ($false = vNOT_33 @ (rel_s4 @ X3 @ (sK17 @ X3))) | ($false = exists_in_world @ X2 @ X1) | ($false = rel_s4 @ X1 @ X3) | ($false = rel_s4 @ sK13 @ X1) | ($false = rel_s4 @ X1 @ X4) | ($true = p @ X4) <- {6} [HOL binary constant elimination 966] 126.57/124.68 1383. ($false = exists_in_world @ X2 @ X1) | ($false = p @ (sK17 @ X3)) | ($false = rel_s4 @ X1 @ X3) | ($false = rel_s4 @ sK13 @ X1) | ($false = rel_s4 @ X1 @ X4) | ($true = p @ X4) <- {6} [HOL binary constant elimination 966] 126.57/124.68 1385. ($true = rel_s4 @ X3 @ (sK17 @ X3)) | ($false = exists_in_world @ X2 @ X1) | ($false = rel_s4 @ X1 @ X3) | ($false = rel_s4 @ sK13 @ X1) | ($false = rel_s4 @ X1 @ X4) | ($true = p @ X4) <- {6} [HOL not constant elimination 1382] 126.57/124.68 1386. ($false = vNOT_33 @ (rel_s4 @ X3 @ (sK17 @ X3))) | ($false = exists_in_world @ X2 @ X1) | ($false = rel_s4 @ X1 @ X3) | ($false = rel_s4 @ sK13 @ X1) | ($false = rel_s4 @ X1 @ X4) | ($true = big_q @ X2 @ X4) <- {6} [HOL binary constant elimination 959] 126.57/124.68 1387. ($true = big_q @ X2 @ X4) | ($false = exists_in_world @ X2 @ X1) | ($false = rel_s4 @ X1 @ X3) | ($false = rel_s4 @ sK13 @ X1) | ($false = rel_s4 @ X1 @ X4) | ($false = p @ (sK17 @ X3)) <- {6} [HOL binary constant elimination 959] 126.57/124.68 1388. ($false = vOR_37 @ (vNOT_33 @ $true) @ (p @ (sK17 @ X0))) | ($false = exists_in_world @ X1 @ X2) | ($false = rel_s4 @ X2 @ X0) | ($false = rel_s4 @ sK13 @ X2) | ($false = rel_s4 @ X2 @ X3) | ($true = big_q @ X1 @ X3) | ($false = rel_s4 @ X0 @ X4) | ($false = rel_s4 @ X4 @ (sK17 @ X0)) <- {6} [superposition 959,253] 126.57/124.68 1389. ($true = rel_s4 @ X3 @ (sK17 @ X3)) | ($false = exists_in_world @ X2 @ X1) | ($false = rel_s4 @ X1 @ X3) | ($false = rel_s4 @ sK13 @ X1) | ($false = rel_s4 @ X1 @ X4) | ($true = big_q @ X2 @ X4) <- {6} [HOL not constant elimination 1386] 126.57/124.68 1391. ($false = vPI_177 @ (sCOMB_176 @ (bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ sK19)) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q) @ sK19))) <- {32} [HOL binary constant elimination 816] 126.57/124.68 1392. ($false = sCOMB_176 @ (bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ sK19)) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q) @ sK19) @ sK24) <- {32} [HOL SIGMA constant elimination 1391] 126.57/124.68 1393. ($false = bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ sK19) @ sK24 @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q) @ sK19 @ sK24)) <- {32} [S combinator elimination 1392] 126.57/124.68 1394. ($false = bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ sK19) @ sK24 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q @ sK24 @ sK19)) <- {32} [C combinator elimination 1393] 126.57/124.68 1395. ($false = bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ sK19) @ sK24 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4)))) @ (big_q @ sK24) @ sK19)) <- {32} [B combinator elimination 1394] 126.57/124.68 1396. ($false = bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ sK19) @ sK24 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (big_q @ sK24)) @ sK19)) <- {32} [B combinator elimination 1395] 126.57/124.68 1397. ($false = bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ sK19) @ sK24 @ (vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (big_q @ sK24) @ sK19))) <- {32} [B combinator elimination 1396] 126.57/124.68 1398. ($false = bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ sK19) @ sK24 @ (vPI_16 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4)) @ sK19 @ (big_q @ sK24)))) <- {32} [C combinator elimination 1397] 126.57/124.68 1399. ($false = bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ sK19) @ sK24 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4) @ sK19) @ (big_q @ sK24)))) <- {32} [B combinator elimination 1398] 126.57/124.68 1400. ($false = bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ sK19) @ sK24 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4 @ sK19)) @ (big_q @ sK24)))) <- {32} [B combinator elimination 1399] 126.57/124.68 1401. ($false = bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ sK19) @ sK24 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK19))) @ (big_q @ sK24)))) <- {32} [B combinator elimination 1400] 126.57/124.68 1402. ($false = vIMP_37 @ (cCOMB_171 @ exists_in_world @ sK19 @ sK24) @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK19))) @ (big_q @ sK24)))) <- {32} [B combinator elimination 1401] 126.57/124.68 1403. ($false = vIMP_37 @ (exists_in_world @ sK24 @ sK19) @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK19))) @ (big_q @ sK24)))) <- {32} [C combinator elimination 1402] 126.57/124.68 1409. 70 <=> ($false = vIMP_37 @ (exists_in_world @ sK24 @ sK19) @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK19))) @ (big_q @ sK24)))) [avatar definition] 126.57/124.68 1410. ($false = vIMP_37 @ (exists_in_world @ sK24 @ sK19) @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK19))) @ (big_q @ sK24)))) <- {70} [avatar component clause 1409] 126.57/124.68 1411. 70 | ~32 [avatar split clause 1403,815,1409] 126.57/124.68 1413. ($false = vPI_177 @ (sCOMB_176 @ (bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ sK18)) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r) @ sK18))) <- {40} [HOL binary constant elimination 856] 126.57/124.68 1414. ($false = sCOMB_176 @ (bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ sK18)) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r) @ sK18) @ sK25) <- {40} [HOL SIGMA constant elimination 1413] 126.57/124.68 1415. ($false = bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ sK18) @ sK25 @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r) @ sK18 @ sK25)) <- {40} [S combinator elimination 1414] 126.57/124.68 1416. ($false = bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ sK18) @ sK25 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r @ sK25 @ sK18)) <- {40} [C combinator elimination 1415] 126.57/124.68 1417. ($false = bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ sK18) @ sK25 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4)))) @ (big_r @ sK25) @ sK18)) <- {40} [B combinator elimination 1416] 126.57/124.68 1418. ($false = bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ sK18) @ sK25 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (big_r @ sK25)) @ sK18)) <- {40} [B combinator elimination 1417] 126.57/124.68 1419. ($false = bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ sK18) @ sK25 @ (vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (big_r @ sK25) @ sK18))) <- {40} [B combinator elimination 1418] 126.57/124.68 1420. ($false = bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ sK18) @ sK25 @ (vPI_16 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4)) @ sK18 @ (big_r @ sK25)))) <- {40} [C combinator elimination 1419] 126.57/124.68 1421. ($false = bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ sK18) @ sK25 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4) @ sK18) @ (big_r @ sK25)))) <- {40} [B combinator elimination 1420] 126.57/124.68 1422. ($false = bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ sK18) @ sK25 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4 @ sK18)) @ (big_r @ sK25)))) <- {40} [B combinator elimination 1421] 126.57/124.68 1423. ($false = bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ sK18) @ sK25 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK18))) @ (big_r @ sK25)))) <- {40} [B combinator elimination 1422] 126.57/124.68 1424. ($false = vIMP_37 @ (cCOMB_171 @ exists_in_world @ sK18 @ sK25) @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK18))) @ (big_r @ sK25)))) <- {40} [B combinator elimination 1423] 126.57/124.68 1425. ($false = vIMP_37 @ (exists_in_world @ sK25 @ sK18) @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK18))) @ (big_r @ sK25)))) <- {40} [C combinator elimination 1424] 126.57/124.68 1431. 72 <=> ($false = vIMP_37 @ (exists_in_world @ sK25 @ sK18) @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK18))) @ (big_r @ sK25)))) [avatar definition] 126.57/124.68 1432. ($false = vIMP_37 @ (exists_in_world @ sK25 @ sK18) @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK18))) @ (big_r @ sK25)))) <- {72} [avatar component clause 1431] 126.57/124.68 1433. 72 | ~40 [avatar split clause 1425,855,1431] 126.57/124.68 1444. ($true != $true) | exists_in_world @ X25 = big_r @ X24 | ($false != big_r @ X24 @ (sK10 @ (big_r @ X24) @ (exists_in_world @ X25))) | ($false = exists_in_world @ X24 @ X26) | ($false = rel_s4 @ X26 @ (sK10 @ (big_r @ X24) @ (exists_in_world @ X25))) | ($false = rel_s4 @ sK13 @ X26) | ($false = rel_s4 @ X26 @ X27) | ($true = p @ X27) <- {6} [superposition 882,900] 126.57/124.68 1445. ($true != $true) | exists_in_world @ X29 = big_q @ X28 | ($false != big_q @ X28 @ (sK10 @ (big_q @ X28) @ (exists_in_world @ X29))) | ($false = exists_in_world @ X28 @ X30) | ($false = rel_s4 @ X30 @ X31) | ($false = rel_s4 @ sK13 @ X30) | ($true = big_r @ X28 @ X31) | ($false = rel_s4 @ X30 @ (sK10 @ (big_q @ X28) @ (exists_in_world @ X29))) <- {6} [superposition 882,893] 126.57/124.68 1449. ($false = rel_s4 @ X30 @ (sK10 @ (big_q @ X28) @ (exists_in_world @ X29))) | ($false != big_q @ X28 @ (sK10 @ (big_q @ X28) @ (exists_in_world @ X29))) | ($false = exists_in_world @ X28 @ X30) | ($false = rel_s4 @ X30 @ X31) | ($false = rel_s4 @ sK13 @ X30) | ($true = big_r @ X28 @ X31) | exists_in_world @ X29 = big_q @ X28 <- {6} [trivial inequality removal 1445] 126.57/124.68 1450. ($false = rel_s4 @ X26 @ (sK10 @ (big_r @ X24) @ (exists_in_world @ X25))) | ($false != big_r @ X24 @ (sK10 @ (big_r @ X24) @ (exists_in_world @ X25))) | ($false = exists_in_world @ X24 @ X26) | exists_in_world @ X25 = big_r @ X24 | ($false = rel_s4 @ sK13 @ X26) | ($false = rel_s4 @ X26 @ X27) | ($true = p @ X27) <- {6} [trivial inequality removal 1444] 126.57/124.68 1468. ($false != $false) | rel_s4 @ X22 = rel_s4 @ X23 | ($false = rel_s4 @ X22 @ X23) | rel_s4 @ X22 = rel_s4 @ X23 | ($true != rel_s4 @ X23 @ (sK10 @ (rel_s4 @ X23) @ (rel_s4 @ X22))) [superposition 981,434] 126.57/124.68 1471. ($false != $false) | rel_s4 @ X22 = rel_s4 @ X23 | ($false = rel_s4 @ X22 @ X23) | ($true != rel_s4 @ X23 @ (sK10 @ (rel_s4 @ X23) @ (rel_s4 @ X22))) [duplicate literal removal 1468] 126.57/124.68 1472. ($true != rel_s4 @ X23 @ (sK10 @ (rel_s4 @ X23) @ (rel_s4 @ X22))) | ($false = rel_s4 @ X22 @ X23) | rel_s4 @ X22 = rel_s4 @ X23 [trivial inequality removal 1471] 126.57/124.68 1535. ($false != X2 @ (sK10 @ (sK0 @ vSIGMA_16 @ X1) @ X2)) | sK0 @ vSIGMA_16 @ X0 = X2 | vSIGMA_16 = X0 | ($true != X0 @ (sK0 @ vSIGMA_16 @ X0)) | vSIGMA_16 = X1 | ($true != X1 @ (sK0 @ vSIGMA_16 @ X1)) | vSIGMA_16 = X0 | ($true != X0 @ (sK0 @ vSIGMA_16 @ X0)) [superposition 546,908] 126.57/124.68 1536. ($false != X5 @ (sK10 @ X5 @ (sK0 @ vSIGMA_16 @ X4))) | sK0 @ vSIGMA_16 @ X3 = X5 | vSIGMA_16 = X3 | ($true != X3 @ (sK0 @ vSIGMA_16 @ X3)) | vSIGMA_16 = X4 | ($true != X4 @ (sK0 @ vSIGMA_16 @ X4)) | vSIGMA_16 = X3 | ($true != X3 @ (sK0 @ vSIGMA_16 @ X3)) [superposition 545,908] 126.57/124.68 1540. (vSIGMA_16 @ (sK0 @ vSIGMA_16 @ X14) != X13 @ (sK0 @ vSIGMA_16 @ X14)) | vSIGMA_16 = X13 | vSIGMA_16 = X14 | ($true != X14 @ (sK0 @ vSIGMA_16 @ X14)) | vSIGMA_16 = X13 | ($true != X13 @ (sK0 @ vSIGMA_16 @ X13)) [superposition 161,908] 126.57/124.68 1562. (vSIGMA_16 @ (sK0 @ vSIGMA_16 @ X14) != X13 @ (sK0 @ vSIGMA_16 @ X14)) | vSIGMA_16 = X13 | vSIGMA_16 = X14 | ($true != X14 @ (sK0 @ vSIGMA_16 @ X14)) | ($true != X13 @ (sK0 @ vSIGMA_16 @ X13)) [duplicate literal removal 1540] 126.57/124.68 1567. ($false != X5 @ (sK10 @ X5 @ (sK0 @ vSIGMA_16 @ X4))) | sK0 @ vSIGMA_16 @ X3 = X5 | vSIGMA_16 = X3 | ($true != X3 @ (sK0 @ vSIGMA_16 @ X3)) | vSIGMA_16 = X4 | ($true != X4 @ (sK0 @ vSIGMA_16 @ X4)) [duplicate literal removal 1536] 126.57/124.68 1568. ($false != X2 @ (sK10 @ (sK0 @ vSIGMA_16 @ X1) @ X2)) | sK0 @ vSIGMA_16 @ X0 = X2 | vSIGMA_16 = X0 | ($true != X0 @ (sK0 @ vSIGMA_16 @ X0)) | vSIGMA_16 = X1 | ($true != X1 @ (sK0 @ vSIGMA_16 @ X1)) [duplicate literal removal 1535] 126.57/124.68 1592. ($false != $false) | rel_s4 @ X23 = rel_s4 @ X24 | ($false = rel_s4 @ X23 @ X24) | ($false = rel_s4 @ X24 @ X24) | rel_s4 @ X23 = rel_s4 @ X24 | ($true != rel_s4 @ X24 @ (sK10 @ (rel_s4 @ X23) @ (rel_s4 @ X24))) [superposition 1212,342] 126.57/124.68 1594. ($false != $false) | rel_s4 @ X23 = rel_s4 @ X24 | ($false = rel_s4 @ X23 @ X24) | ($false = rel_s4 @ X24 @ X24) | ($true != rel_s4 @ X24 @ (sK10 @ (rel_s4 @ X23) @ (rel_s4 @ X24))) [duplicate literal removal 1592] 126.57/124.68 1595. rel_s4 @ X23 = rel_s4 @ X24 | ($false = rel_s4 @ X23 @ X24) | ($false = rel_s4 @ X24 @ X24) | ($true != rel_s4 @ X24 @ (sK10 @ (rel_s4 @ X23) @ (rel_s4 @ X24))) [trivial inequality removal 1594] 126.57/124.68 1618. ($false = $true) | rel_s4 @ X23 = rel_s4 @ X24 | ($false = rel_s4 @ X23 @ X24) | ($true != rel_s4 @ X24 @ (sK10 @ (rel_s4 @ X23) @ (rel_s4 @ X24))) [forward demodulation 1595,258] 126.57/124.68 1619. ($true != rel_s4 @ X24 @ (sK10 @ (rel_s4 @ X23) @ (rel_s4 @ X24))) | ($false = rel_s4 @ X23 @ X24) | rel_s4 @ X23 = rel_s4 @ X24 [global subsumption 39,1618] 126.57/124.68 1627. ($false != exists_in_world @ X44 @ (sK10 @ (rel_s4 @ X43) @ (exists_in_world @ X44))) | rel_s4 @ X43 = exists_in_world @ X44 | rel_s4 @ X43 = exists_in_world @ X44 | ($true != exists_in_world @ X44 @ X43) | ($false != exists_in_world @ X44 @ (sK10 @ (rel_s4 @ X43) @ (exists_in_world @ X44))) [superposition 171,1010] 126.57/124.68 1630. ($false != exists_in_world @ X44 @ (sK10 @ (rel_s4 @ X43) @ (exists_in_world @ X44))) | rel_s4 @ X43 = exists_in_world @ X44 | ($true != exists_in_world @ X44 @ X43) [duplicate literal removal 1627] 126.57/124.68 1662. ($false != $false) | rel_s4 @ X34 = rel_s4 @ X35 | ($false != rel_s4 @ X35 @ (sK10 @ (rel_s4 @ X35) @ (rel_s4 @ X34))) | ($false != rel_s4 @ X35 @ (sK10 @ (rel_s4 @ X35) @ (rel_s4 @ X34))) | ($false = rel_s4 @ X35 @ X34) | rel_s4 @ X34 = rel_s4 @ X35 [superposition 990,868] 126.57/124.68 1673. ($false != $false) | rel_s4 @ X34 = rel_s4 @ X35 | ($false != rel_s4 @ X35 @ (sK10 @ (rel_s4 @ X35) @ (rel_s4 @ X34))) | ($false = rel_s4 @ X35 @ X34) [duplicate literal removal 1662] 126.57/124.68 1674. ($false != rel_s4 @ X35 @ (sK10 @ (rel_s4 @ X35) @ (rel_s4 @ X34))) | rel_s4 @ X34 = rel_s4 @ X35 | ($false = rel_s4 @ X35 @ X34) [trivial inequality removal 1673] 126.57/124.68 1684. ($true != $true) | ($false != exists_in_world @ X13 @ (sK10 @ (exists_in_world @ X13) @ (rel_s4 @ X14))) | rel_s4 @ X14 = exists_in_world @ X13 | ($true != exists_in_world @ X13 @ X15) | ($false = rel_s4 @ X15 @ (sK10 @ (exists_in_world @ X13) @ (rel_s4 @ X14))) [fool paramodulation 869] 126.57/124.68 1694. ($true != $true) | ($false != exists_in_world @ X32 @ (sK10 @ (exists_in_world @ X32) @ (rel_s4 @ X33))) | rel_s4 @ X33 = exists_in_world @ X32 | ($true != exists_in_world @ X32 @ X31) | ($false = rel_s4 @ X31 @ X34) | ($false = rel_s4 @ X34 @ (sK10 @ (exists_in_world @ X32) @ (rel_s4 @ X33))) [superposition 869,253] 126.57/124.68 1695. ($false = rel_s4 @ X34 @ (sK10 @ (exists_in_world @ X32) @ (rel_s4 @ X33))) | rel_s4 @ X33 = exists_in_world @ X32 | ($true != exists_in_world @ X32 @ X31) | ($false = rel_s4 @ X31 @ X34) | ($false != exists_in_world @ X32 @ (sK10 @ (exists_in_world @ X32) @ (rel_s4 @ X33))) [trivial inequality removal 1694] 126.57/124.68 1705. ($false = rel_s4 @ X15 @ (sK10 @ (exists_in_world @ X13) @ (rel_s4 @ X14))) | rel_s4 @ X14 = exists_in_world @ X13 | ($true != exists_in_world @ X13 @ X15) | ($false != exists_in_world @ X13 @ (sK10 @ (exists_in_world @ X13) @ (rel_s4 @ X14))) [trivial inequality removal 1684] 126.57/124.68 1707. ($false = $true) | ($false = rel_s4 @ X45 @ X46) | rel_s4 @ X45 = X44 | ($false = rel_s4 @ X46 @ X43) | ($false != rel_s4 @ X45 @ (sK10 @ X44 @ (rel_s4 @ X45))) | ($false = rel_s4 @ X43 @ X47) | ($false = rel_s4 @ X47 @ (sK10 @ X44 @ (rel_s4 @ X45))) [superposition 988,253] 126.57/124.68 1718. ($false != rel_s4 @ X73 @ (sK10 @ (rel_s4 @ X72) @ (rel_s4 @ X73))) | rel_s4 @ X72 = rel_s4 @ X73 | ($false = rel_s4 @ X73 @ X74) | rel_s4 @ X72 = rel_s4 @ X73 | ($false = rel_s4 @ X74 @ X72) | ($false != rel_s4 @ X73 @ (sK10 @ (rel_s4 @ X72) @ (rel_s4 @ X73))) [superposition 171,988] 126.57/124.68 1726. ($false != rel_s4 @ X73 @ (sK10 @ (rel_s4 @ X72) @ (rel_s4 @ X73))) | rel_s4 @ X72 = rel_s4 @ X73 | ($false = rel_s4 @ X73 @ X74) | ($false = rel_s4 @ X74 @ X72) [duplicate literal removal 1718] 126.57/124.68 1739. ($false = rel_s4 @ X47 @ (sK10 @ X44 @ (rel_s4 @ X45))) | rel_s4 @ X45 = X44 | ($false = rel_s4 @ X46 @ X43) | ($false != rel_s4 @ X45 @ (sK10 @ X44 @ (rel_s4 @ X45))) | ($false = rel_s4 @ X43 @ X47) | ($false = rel_s4 @ X45 @ X46) [global subsumption 39,1707] 126.57/124.68 1741. ($false = $true) | exists_in_world @ X40 = X39 | ($true != exists_in_world @ X40 @ X41) | ($false = rel_s4 @ X41 @ X38) | ($false != exists_in_world @ X40 @ (sK10 @ X39 @ (exists_in_world @ X40))) | ($false = rel_s4 @ X38 @ X42) | ($false = rel_s4 @ X42 @ (sK10 @ X39 @ (exists_in_world @ X40))) [superposition 1001,253] 126.57/124.68 1747. ($false != exists_in_world @ X52 @ (sK10 @ (rel_s4 @ X51) @ (exists_in_world @ X52))) | rel_s4 @ X51 = exists_in_world @ X52 | rel_s4 @ X51 = exists_in_world @ X52 | ($true != exists_in_world @ X52 @ X53) | ($false = rel_s4 @ X53 @ X51) | ($false != exists_in_world @ X52 @ (sK10 @ (rel_s4 @ X51) @ (exists_in_world @ X52))) [superposition 171,1001] 126.57/124.68 1752. ($false != exists_in_world @ X52 @ (sK10 @ (rel_s4 @ X51) @ (exists_in_world @ X52))) | rel_s4 @ X51 = exists_in_world @ X52 | ($true != exists_in_world @ X52 @ X53) | ($false = rel_s4 @ X53 @ X51) [duplicate literal removal 1747] 126.57/124.68 1758. ($false = rel_s4 @ X42 @ (sK10 @ X39 @ (exists_in_world @ X40))) | ($true != exists_in_world @ X40 @ X41) | ($false = rel_s4 @ X41 @ X38) | ($false != exists_in_world @ X40 @ (sK10 @ X39 @ (exists_in_world @ X40))) | ($false = rel_s4 @ X38 @ X42) | exists_in_world @ X40 = X39 [global subsumption 39,1741] 126.57/124.68 1787. ($false != $false) | rel_s4 @ X72 = exists_in_world @ X73 | ($false != exists_in_world @ X73 @ (sK10 @ (exists_in_world @ X73) @ (rel_s4 @ X72))) | ($false = rel_s4 @ X74 @ X75) | rel_s4 @ X72 = exists_in_world @ X73 | ($false = rel_s4 @ X75 @ X76) | ($true != rel_s4 @ X72 @ (sK10 @ (exists_in_world @ X73) @ (rel_s4 @ X72))) | ($false = rel_s4 @ X76 @ X72) | ($true != exists_in_world @ X73 @ X74) [superposition 990,1046] 126.57/124.68 1800. ($false != $false) | rel_s4 @ X72 = exists_in_world @ X73 | ($false != exists_in_world @ X73 @ (sK10 @ (exists_in_world @ X73) @ (rel_s4 @ X72))) | ($false = rel_s4 @ X74 @ X75) | ($false = rel_s4 @ X75 @ X76) | ($true != rel_s4 @ X72 @ (sK10 @ (exists_in_world @ X73) @ (rel_s4 @ X72))) | ($false = rel_s4 @ X76 @ X72) | ($true != exists_in_world @ X73 @ X74) [duplicate literal removal 1787] 126.57/124.68 1801. ($true != rel_s4 @ X72 @ (sK10 @ (exists_in_world @ X73) @ (rel_s4 @ X72))) | ($false != exists_in_world @ X73 @ (sK10 @ (exists_in_world @ X73) @ (rel_s4 @ X72))) | ($false = rel_s4 @ X74 @ X75) | ($false = rel_s4 @ X75 @ X76) | rel_s4 @ X72 = exists_in_world @ X73 | ($false = rel_s4 @ X76 @ X72) | ($true != exists_in_world @ X73 @ X74) [trivial inequality removal 1800] 126.57/124.68 1848. ($false != $false) | rel_s4 @ X9 = rel_s4 @ X10 | ($false = rel_s4 @ X9 @ X10) | ($false = rel_s4 @ X11 @ X12) | rel_s4 @ X9 = rel_s4 @ X10 | ($false = rel_s4 @ X12 @ X13) | ($false = rel_s4 @ X10 @ X11) | ($false = rel_s4 @ X13 @ X9) | ($true != rel_s4 @ X9 @ (sK10 @ (rel_s4 @ X10) @ (rel_s4 @ X9))) [superposition 981,1100] 126.57/124.68 1852. ($false != $false) | rel_s4 @ X71 = rel_s4 @ X72 | ($false != rel_s4 @ X72 @ (sK10 @ (rel_s4 @ X72) @ (rel_s4 @ X71))) | ($false = rel_s4 @ X73 @ X74) | rel_s4 @ X71 = rel_s4 @ X72 | ($false = rel_s4 @ X74 @ X75) | ($false = rel_s4 @ X72 @ X73) | ($false = rel_s4 @ X75 @ X71) | ($true != rel_s4 @ X71 @ (sK10 @ (rel_s4 @ X72) @ (rel_s4 @ X71))) [superposition 990,1100] 126.57/124.68 1876. ($false != $false) | rel_s4 @ X71 = rel_s4 @ X72 | ($false != rel_s4 @ X72 @ (sK10 @ (rel_s4 @ X72) @ (rel_s4 @ X71))) | ($false = rel_s4 @ X73 @ X74) | ($false = rel_s4 @ X74 @ X75) | ($false = rel_s4 @ X72 @ X73) | ($false = rel_s4 @ X75 @ X71) | ($true != rel_s4 @ X71 @ (sK10 @ (rel_s4 @ X72) @ (rel_s4 @ X71))) [duplicate literal removal 1852] 126.57/124.68 1877. ($true != rel_s4 @ X71 @ (sK10 @ (rel_s4 @ X72) @ (rel_s4 @ X71))) | ($false != rel_s4 @ X72 @ (sK10 @ (rel_s4 @ X72) @ (rel_s4 @ X71))) | ($false = rel_s4 @ X73 @ X74) | ($false = rel_s4 @ X74 @ X75) | ($false = rel_s4 @ X72 @ X73) | ($false = rel_s4 @ X75 @ X71) | rel_s4 @ X71 = rel_s4 @ X72 [trivial inequality removal 1876] 126.57/124.68 1881. ($false != $false) | rel_s4 @ X9 = rel_s4 @ X10 | ($false = rel_s4 @ X9 @ X10) | ($false = rel_s4 @ X11 @ X12) | ($false = rel_s4 @ X12 @ X13) | ($false = rel_s4 @ X10 @ X11) | ($false = rel_s4 @ X13 @ X9) | ($true != rel_s4 @ X9 @ (sK10 @ (rel_s4 @ X10) @ (rel_s4 @ X9))) [duplicate literal removal 1848] 126.57/124.68 1882. ($true != rel_s4 @ X9 @ (sK10 @ (rel_s4 @ X10) @ (rel_s4 @ X9))) | ($false = rel_s4 @ X9 @ X10) | ($false = rel_s4 @ X11 @ X12) | ($false = rel_s4 @ X12 @ X13) | ($false = rel_s4 @ X10 @ X11) | ($false = rel_s4 @ X13 @ X9) | rel_s4 @ X9 = rel_s4 @ X10 [trivial inequality removal 1881] 126.57/124.68 1981. ($true != $true) | rel_s4 @ X62 = rel_s4 @ X63 | ($false != rel_s4 @ X63 @ (sK10 @ (rel_s4 @ X63) @ (rel_s4 @ X62))) | ($false = rel_s4 @ X64 @ X65) | ($false = rel_s4 @ X65 @ X62) | ($false = rel_s4 @ X63 @ X64) | ($false = rel_s4 @ X62 @ X66) | ($false = rel_s4 @ X66 @ (sK10 @ (rel_s4 @ X63) @ (rel_s4 @ X62))) [superposition 1095,253] 126.57/124.68 1982. ($false = rel_s4 @ X66 @ (sK10 @ (rel_s4 @ X63) @ (rel_s4 @ X62))) | ($false != rel_s4 @ X63 @ (sK10 @ (rel_s4 @ X63) @ (rel_s4 @ X62))) | ($false = rel_s4 @ X64 @ X65) | ($false = rel_s4 @ X65 @ X62) | ($false = rel_s4 @ X63 @ X64) | ($false = rel_s4 @ X62 @ X66) | rel_s4 @ X62 = rel_s4 @ X63 [trivial inequality removal 1981] 126.57/124.68 2046. ($false = vNOT_33 @ (rel_s4 @ sK19 @ sK22)) <- {52} [HOL binary constant elimination 1304] 126.57/124.68 2047. ($false = big_q @ sK20 @ sK22) <- {52} [HOL binary constant elimination 1304] 126.57/124.68 2048. ($false = vOR_37 @ (vNOT_33 @ $true) @ (big_q @ sK20 @ sK22)) | ($false = rel_s4 @ sK19 @ X0) | ($false = rel_s4 @ X0 @ sK22) <- {52} [superposition 1304,253] 126.57/124.68 2049. ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ sK19 @ sK22)) @ $true) | ($false = exists_in_world @ sK20 @ X0) | ($false = rel_s4 @ X0 @ X1) | ($false = rel_s4 @ sK13 @ X0) | ($true = big_r @ sK20 @ X1) | ($false = rel_s4 @ X0 @ sK22) <- {6, 52} [superposition 1304,893] 126.57/124.68 2050. ($false = $true) | ($false = exists_in_world @ sK20 @ X0) | ($false = rel_s4 @ X0 @ X1) | ($false = rel_s4 @ sK13 @ X0) | ($true = big_r @ sK20 @ X1) | ($false = rel_s4 @ X0 @ sK22) <- {6, 52} [HOL short circuit evaluation 2049] 126.57/124.68 2051. ($true = rel_s4 @ sK19 @ sK22) <- {52} [HOL not constant elimination 2046] 126.57/124.68 2056. 74 <=> ($true = rel_s4 @ sK19 @ sK22) [avatar definition] 126.57/124.68 2057. ($true = rel_s4 @ sK19 @ sK22) <- {74} [avatar component clause 2056] 126.57/124.68 2058. 74 | ~52 [avatar split clause 2051,1303,2056] 126.57/124.68 2063. 76 <=> ($false = big_q @ sK20 @ sK22) [avatar definition] 126.57/124.68 2064. ($false = big_q @ sK20 @ sK22) <- {76} [avatar component clause 2063] 126.57/124.68 2065. 76 | ~52 [avatar split clause 2047,1303,2063] 126.57/124.68 2067. 78 <=> ! [X0] : (($false = rel_s4 @ sK19 @ X0) | ($false = rel_s4 @ X0 @ sK22)) [avatar definition] 126.57/124.68 2073. 80 <=> ($false = vOR_37 @ (vNOT_33 @ $true) @ (big_q @ sK20 @ sK22)) [avatar definition] 126.57/124.68 2074. ($false = vOR_37 @ (vNOT_33 @ $true) @ (big_q @ sK20 @ sK22)) <- {80} [avatar component clause 2073] 126.57/124.68 2075. 78 | 80 | ~52 [avatar split clause 2048,1303,2073,2067] 126.57/124.68 2077. 82 <=> ! [X1,X0] : (($false = exists_in_world @ sK20 @ X0) | ($false = rel_s4 @ X0 @ sK22) | ($true = big_r @ sK20 @ X1) | ($false = rel_s4 @ sK13 @ X0) | ($false = rel_s4 @ X0 @ X1)) [avatar definition] 126.57/124.68 2078. ($true = big_r @ sK20 @ X1) | ($false = rel_s4 @ X0 @ sK22) | ($false = exists_in_world @ sK20 @ X0) | ($false = rel_s4 @ sK13 @ X0) | ($false = rel_s4 @ X0 @ X1) <- {82} [avatar component clause 2077] 126.57/124.68 2079. 82 | 0 | ~6 | ~52 [avatar split clause 2050,1303,368,315,2077] 126.57/124.68 2081. ($true = exists_in_world @ sK20 @ sK22) <- {50, 74} [unit resulting resolution 1297,2057,206] 126.57/124.68 2082. ($true = exists_in_world @ (sK11 @ sK13) @ sK22) <- {42, 74} [unit resulting resolution 924,2057,206] 126.57/124.68 2083. ($true = exists_in_world @ (sK11 @ sK12) @ sK22) <- {44, 74} [unit resulting resolution 931,2057,206] 126.57/124.68 2084. ($true = exists_in_world @ (sK11 @ sK19) @ sK22) <- {74} [unit resulting resolution 205,2057,206] 126.57/124.68 2090. 84 <=> ($true = exists_in_world @ (sK11 @ sK19) @ sK22) [avatar definition] 126.57/124.68 2091. ($true = exists_in_world @ (sK11 @ sK19) @ sK22) <- {84} [avatar component clause 2090] 126.57/124.68 2092. 84 | ~74 [avatar split clause 2084,2056,2090] 126.57/124.68 2097. 86 <=> ($true = exists_in_world @ (sK11 @ sK12) @ sK22) [avatar definition] 126.57/124.68 2098. ($true = exists_in_world @ (sK11 @ sK12) @ sK22) <- {86} [avatar component clause 2097] 126.57/124.68 2099. 86 | ~44 | ~74 [avatar split clause 2083,2056,930,2097] 126.57/124.68 2104. 88 <=> ($true = exists_in_world @ (sK11 @ sK13) @ sK22) [avatar definition] 126.57/124.68 2105. ($true = exists_in_world @ (sK11 @ sK13) @ sK22) <- {88} [avatar component clause 2104] 126.57/124.68 2106. 88 | ~42 | ~74 [avatar split clause 2082,2056,923,2104] 126.57/124.68 2111. 90 <=> ($true = exists_in_world @ sK20 @ sK22) [avatar definition] 126.57/124.68 2112. ($true = exists_in_world @ sK20 @ sK22) <- {90} [avatar component clause 2111] 126.57/124.68 2113. 90 | ~50 | ~74 [avatar split clause 2081,2056,1296,2111] 126.57/124.68 2114. ($false = vNOT_33 @ (rel_s4 @ sK18 @ sK23)) <- {60} [HOL binary constant elimination 1335] 126.57/124.68 2115. ($false = big_r @ sK21 @ sK23) <- {60} [HOL binary constant elimination 1335] 126.57/124.68 2116. ($false = vOR_37 @ (vNOT_33 @ $true) @ (big_r @ sK21 @ sK23)) | ($false = rel_s4 @ sK18 @ X0) | ($false = rel_s4 @ X0 @ sK23) <- {60} [superposition 1335,253] 126.57/124.68 2117. ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ sK18 @ sK23)) @ $true) | ($false = exists_in_world @ sK21 @ X0) | ($false = rel_s4 @ X0 @ sK23) | ($false = rel_s4 @ sK13 @ X0) | ($false = rel_s4 @ X0 @ X1) | ($true = p @ X1) <- {6, 60} [superposition 1335,900] 126.57/124.68 2118. ($false = $true) | ($false = exists_in_world @ sK21 @ X0) | ($false = rel_s4 @ X0 @ sK23) | ($false = rel_s4 @ sK13 @ X0) | ($false = rel_s4 @ X0 @ X1) | ($true = p @ X1) <- {6, 60} [HOL short circuit evaluation 2117] 126.57/124.68 2119. ($true = rel_s4 @ sK18 @ sK23) <- {60} [HOL not constant elimination 2114] 126.57/124.68 2124. 92 <=> ($true = rel_s4 @ sK18 @ sK23) [avatar definition] 126.57/124.68 2125. ($true = rel_s4 @ sK18 @ sK23) <- {92} [avatar component clause 2124] 126.57/124.68 2126. 92 | ~60 [avatar split clause 2119,1334,2124] 126.57/124.68 2131. 94 <=> ($false = big_r @ sK21 @ sK23) [avatar definition] 126.57/124.68 2132. ($false = big_r @ sK21 @ sK23) <- {94} [avatar component clause 2131] 126.57/124.68 2133. 94 | ~60 [avatar split clause 2115,1334,2131] 126.57/124.68 2135. 96 <=> ! [X0] : (($false = rel_s4 @ sK18 @ X0) | ($false = rel_s4 @ X0 @ sK23)) [avatar definition] 126.57/124.68 2141. 98 <=> ($false = vOR_37 @ (vNOT_33 @ $true) @ (big_r @ sK21 @ sK23)) [avatar definition] 126.57/124.68 2143. 96 | 98 | ~60 [avatar split clause 2116,1334,2141,2135] 126.57/124.68 2145. 100 <=> ! [X1,X0] : (($false = exists_in_world @ sK21 @ X0) | ($true = p @ X1) | ($false = rel_s4 @ X0 @ X1) | ($false = rel_s4 @ sK13 @ X0) | ($false = rel_s4 @ X0 @ sK23)) [avatar definition] 126.57/124.68 2146. ($false = exists_in_world @ sK21 @ X0) | ($true = p @ X1) | ($false = rel_s4 @ X0 @ X1) | ($false = rel_s4 @ sK13 @ X0) | ($false = rel_s4 @ X0 @ sK23) <- {100} [avatar component clause 2145] 126.57/124.68 2147. 100 | 0 | ~6 | ~60 [avatar split clause 2118,1334,368,315,2145] 126.57/124.68 2149. ($false = vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK19))) @ (big_q @ sK20))) <- {56} [HOL binary constant elimination 1314] 126.57/124.68 2150. ($false = sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK19))) @ (big_q @ sK20) @ sK28) <- {56} [HOL SIGMA constant elimination 2149] 126.57/124.68 2151. ($false = bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK19)) @ sK28 @ (big_q @ sK20 @ sK28)) <- {56} [S combinator elimination 2150] 126.57/124.68 2152. ($false = vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK19) @ sK28) @ (big_q @ sK20 @ sK28)) <- {56} [B combinator elimination 2151] 126.57/124.68 2153. ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ sK19 @ sK28)) @ (big_q @ sK20 @ sK28)) <- {56} [B combinator elimination 2152] 126.57/124.68 2158. 102 <=> ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ sK19 @ sK28)) @ (big_q @ sK20 @ sK28)) [avatar definition] 126.57/124.68 2159. ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ sK19 @ sK28)) @ (big_q @ sK20 @ sK28)) <- {102} [avatar component clause 2158] 126.57/124.68 2160. 102 | ~56 [avatar split clause 2153,1313,2158] 126.57/124.68 2162. ($false = vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK18))) @ (big_r @ sK21))) <- {64} [HOL binary constant elimination 1345] 126.57/124.68 2163. ($false = sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK18))) @ (big_r @ sK21) @ sK29) <- {64} [HOL SIGMA constant elimination 2162] 126.57/124.68 2164. ($false = bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK18)) @ sK29 @ (big_r @ sK21 @ sK29)) <- {64} [S combinator elimination 2163] 126.57/124.68 2165. ($false = vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK18) @ sK29) @ (big_r @ sK21 @ sK29)) <- {64} [B combinator elimination 2164] 126.57/124.68 2166. ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ sK18 @ sK29)) @ (big_r @ sK21 @ sK29)) <- {64} [B combinator elimination 2165] 126.57/124.68 2171. 104 <=> ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ sK18 @ sK29)) @ (big_r @ sK21 @ sK29)) [avatar definition] 126.57/124.68 2172. ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ sK18 @ sK29)) @ (big_r @ sK21 @ sK29)) <- {104} [avatar component clause 2171] 126.57/124.68 2173. 104 | ~64 [avatar split clause 2166,1344,2171] 126.57/124.68 2174. ($true = exists_in_world @ sK24 @ sK19) <- {70} [HOL binary constant elimination 1410] 126.57/124.68 2175. ($false = vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK19))) @ (big_q @ sK24))) <- {70} [HOL binary constant elimination 1410] 126.57/124.68 2176. ($false = vIMP_37 @ $true @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK19))) @ (big_q @ sK24)))) | ($true != rel_s4 @ X0 @ sK19) | ($true != exists_in_world @ sK24 @ X0) <- {70} [superposition 1410,206] 126.57/124.68 2177. ($false = sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK19))) @ (big_q @ sK24) @ sK30) <- {70} [HOL SIGMA constant elimination 2175] 126.57/124.68 2178. ($false = bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK19)) @ sK30 @ (big_q @ sK24 @ sK30)) <- {70} [S combinator elimination 2177] 126.57/124.68 2179. ($false = vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK19) @ sK30) @ (big_q @ sK24 @ sK30)) <- {70} [B combinator elimination 2178] 126.57/124.68 2180. ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ sK19 @ sK30)) @ (big_q @ sK24 @ sK30)) <- {70} [B combinator elimination 2179] 126.57/124.68 2185. 106 <=> ($true = exists_in_world @ sK24 @ sK19) [avatar definition] 126.57/124.68 2186. ($true = exists_in_world @ sK24 @ sK19) <- {106} [avatar component clause 2185] 126.57/124.68 2187. 106 | ~70 [avatar split clause 2174,1409,2185] 126.57/124.68 2192. 108 <=> ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ sK19 @ sK30)) @ (big_q @ sK24 @ sK30)) [avatar definition] 126.57/124.68 2193. ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ sK19 @ sK30)) @ (big_q @ sK24 @ sK30)) <- {108} [avatar component clause 2192] 126.57/124.68 2194. 108 | ~70 [avatar split clause 2180,1409,2192] 126.57/124.68 2196. 110 <=> ! [X0] : (($true != rel_s4 @ X0 @ sK19) | ($true != exists_in_world @ sK24 @ X0)) [avatar definition] 126.57/124.68 2202. 112 <=> ($false = vIMP_37 @ $true @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK19))) @ (big_q @ sK24)))) [avatar definition] 126.57/124.68 2203. ($false = vIMP_37 @ $true @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK19))) @ (big_q @ sK24)))) <- {112} [avatar component clause 2202] 126.57/124.68 2204. 110 | 112 | ~70 [avatar split clause 2176,1409,2202,2196] 126.57/124.68 2205. ($true = exists_in_world @ sK25 @ sK18) <- {72} [HOL binary constant elimination 1432] 126.57/124.68 2206. ($false = vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK18))) @ (big_r @ sK25))) <- {72} [HOL binary constant elimination 1432] 126.57/124.68 2207. ($false = vIMP_37 @ $true @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK18))) @ (big_r @ sK25)))) | ($true != rel_s4 @ X0 @ sK18) | ($true != exists_in_world @ sK25 @ X0) <- {72} [superposition 1432,206] 126.57/124.68 2208. ($false = sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK18))) @ (big_r @ sK25) @ sK31) <- {72} [HOL SIGMA constant elimination 2206] 126.57/124.68 2209. ($false = bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK18)) @ sK31 @ (big_r @ sK25 @ sK31)) <- {72} [S combinator elimination 2208] 126.57/124.68 2210. ($false = vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK18) @ sK31) @ (big_r @ sK25 @ sK31)) <- {72} [B combinator elimination 2209] 126.57/124.68 2211. ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ sK18 @ sK31)) @ (big_r @ sK25 @ sK31)) <- {72} [B combinator elimination 2210] 126.57/124.68 2216. 114 <=> ($true = exists_in_world @ sK25 @ sK18) [avatar definition] 126.57/124.68 2217. ($true = exists_in_world @ sK25 @ sK18) <- {114} [avatar component clause 2216] 126.57/124.68 2218. 114 | ~72 [avatar split clause 2205,1431,2216] 126.57/124.68 2223. 116 <=> ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ sK18 @ sK31)) @ (big_r @ sK25 @ sK31)) [avatar definition] 126.57/124.68 2224. ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ sK18 @ sK31)) @ (big_r @ sK25 @ sK31)) <- {116} [avatar component clause 2223] 126.57/124.68 2225. 116 | ~72 [avatar split clause 2211,1431,2223] 126.57/124.68 2227. 118 <=> ! [X0] : (($true != rel_s4 @ X0 @ sK18) | ($true != exists_in_world @ sK25 @ X0)) [avatar definition] 126.57/124.68 2233. 120 <=> ($false = vIMP_37 @ $true @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK18))) @ (big_r @ sK25)))) [avatar definition] 126.57/124.68 2234. ($false = vIMP_37 @ $true @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK18))) @ (big_r @ sK25)))) <- {120} [avatar component clause 2233] 126.57/124.68 2235. 118 | 120 | ~72 [avatar split clause 2207,1431,2233,2227] 126.57/124.68 2236. ($false = $true) | ($false = p @ (sK17 @ X1)) | ($false = rel_s4 @ X0 @ X1) | ($false = rel_s4 @ sK13 @ X0) | ($false = rel_s4 @ X0 @ X2) | ($true = p @ X2) <- {6} [superposition 1383,205] 126.57/124.68 2237. ($false = $true) | ($false = p @ (sK17 @ X7)) | ($false = rel_s4 @ X6 @ X7) | ($false = rel_s4 @ sK13 @ X6) | ($false = rel_s4 @ X6 @ X8) | ($true = p @ X8) | ($true != rel_s4 @ X9 @ X6) | ($true != exists_in_world @ X5 @ X9) <- {6} [superposition 1383,206] 126.57/124.68 2238. ($false = $true) | ($false = p @ (sK17 @ X14)) | ($false = rel_s4 @ sK13 @ X14) | ($false = rel_s4 @ sK13 @ sK13) | ($false = rel_s4 @ sK13 @ X15) | ($true = p @ X15) <- {6, 12} [superposition 1383,389] 126.57/124.68 2239. ($false = $true) | ($false = p @ (sK17 @ X16)) | ($false = rel_s4 @ sK18 @ X16) | ($false = rel_s4 @ sK13 @ sK18) | ($false = rel_s4 @ sK18 @ X17) | ($true = p @ X17) <- {6, 58} [superposition 1383,1328] 126.57/124.68 2240. ($false = $true) | ($false = p @ (sK17 @ X18)) | ($false = rel_s4 @ sK18 @ X18) | ($false = rel_s4 @ sK13 @ sK18) | ($false = rel_s4 @ sK18 @ X19) | ($true = p @ X19) <- {6, 46} [superposition 1383,1110] 126.57/124.68 2241. ($false = $true) | ($false = p @ (sK17 @ X20)) | ($false = rel_s4 @ sK18 @ X20) | ($false = rel_s4 @ sK13 @ sK18) | ($false = rel_s4 @ sK18 @ X21) | ($true = p @ X21) <- {6, 48} [superposition 1383,1117] 126.57/124.68 2242. ($false = $true) | ($false = p @ (sK17 @ X22)) | ($false = rel_s4 @ sK19 @ X22) | ($false = rel_s4 @ sK13 @ sK19) | ($false = rel_s4 @ sK19 @ X23) | ($true = p @ X23) <- {6, 50} [superposition 1383,1297] 126.57/124.68 2243. ($false = $true) | ($false = p @ (sK17 @ X24)) | ($false = rel_s4 @ sK19 @ X24) | ($false = rel_s4 @ sK13 @ sK19) | ($false = rel_s4 @ sK19 @ X25) | ($true = p @ X25) <- {6, 42} [superposition 1383,924] 126.57/124.68 2244. ($false = $true) | ($false = p @ (sK17 @ X26)) | ($false = rel_s4 @ sK19 @ X26) | ($false = rel_s4 @ sK13 @ sK19) | ($false = rel_s4 @ sK19 @ X27) | ($true = p @ X27) <- {6, 44} [superposition 1383,931] 126.57/124.68 2245. ($false = $true) | ($false = p @ (sK17 @ X1)) | ($false = rel_s4 @ X0 @ X1) | ($false = rel_s4 @ sK13 @ X0) | ($false = rel_s4 @ X0 @ X2) | ($true = p @ X2) <- {6} [superposition 205,1383] 126.57/124.68 2246. ($false = $true) | ($true != rel_s4 @ X5 @ X4) | ($true != exists_in_world @ X3 @ X5) | ($false = p @ (sK17 @ X6)) | ($false = rel_s4 @ X4 @ X6) | ($false = rel_s4 @ sK13 @ X4) | ($false = rel_s4 @ X4 @ X7) | ($true = p @ X7) <- {6} [superposition 206,1383] 126.57/124.68 2256. ($false = $true) | ($false = p @ (sK17 @ X48)) | ($false = rel_s4 @ sK13 @ X48) | ($false = rel_s4 @ sK13 @ sK13) | ($false = rel_s4 @ sK13 @ X49) | ($true = p @ X49) <- {6, 12} [superposition 389,1383] 126.57/124.68 2257. ($false = $true) | ($false = p @ (sK17 @ X50)) | ($false = rel_s4 @ sK18 @ X50) | ($false = rel_s4 @ sK13 @ sK18) | ($false = rel_s4 @ sK18 @ X51) | ($true = p @ X51) <- {6, 58} [superposition 1328,1383] 126.57/124.68 2258. ($false = vIMP_37 @ $false @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK18))) @ (big_r @ sK21)))) | ($false = p @ (sK17 @ X52)) | ($false = rel_s4 @ sK18 @ X52) | ($false = rel_s4 @ sK13 @ sK18) | ($false = rel_s4 @ sK18 @ X53) | ($true = p @ X53) <- {6, 36} [superposition 846,1383] 126.57/124.68 2259. ($false = $true) | ($false = p @ (sK17 @ X54)) | ($false = rel_s4 @ sK18 @ X54) | ($false = rel_s4 @ sK13 @ sK18) | ($false = rel_s4 @ sK18 @ X55) | ($true = p @ X55) <- {6, 46} [superposition 1110,1383] 126.57/124.68 2260. ($false = $true) | ($false = p @ (sK17 @ X56)) | ($false = rel_s4 @ sK18 @ X56) | ($false = rel_s4 @ sK13 @ sK18) | ($false = rel_s4 @ sK18 @ X57) | ($true = p @ X57) <- {6, 48} [superposition 1117,1383] 126.57/124.68 2261. ($false = vIMP_37 @ $false @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK18))) @ (big_r @ sK25)))) | ($false = p @ (sK17 @ X58)) | ($false = rel_s4 @ sK18 @ X58) | ($false = rel_s4 @ sK13 @ sK18) | ($false = rel_s4 @ sK18 @ X59) | ($true = p @ X59) <- {6, 72} [superposition 1432,1383] 126.57/124.68 2262. ($false = $true) | ($false = p @ (sK17 @ X60)) | ($false = rel_s4 @ sK19 @ X60) | ($false = rel_s4 @ sK13 @ sK19) | ($false = rel_s4 @ sK19 @ X61) | ($true = p @ X61) <- {6, 50} [superposition 1297,1383] 126.57/124.68 2263. ($false = vIMP_37 @ $false @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK19))) @ (big_q @ sK20)))) | ($false = p @ (sK17 @ X62)) | ($false = rel_s4 @ sK19 @ X62) | ($false = rel_s4 @ sK13 @ sK19) | ($false = rel_s4 @ sK19 @ X63) | ($true = p @ X63) <- {6, 28} [superposition 806,1383] 126.57/124.68 2264. ($false = $true) | ($false = p @ (sK17 @ X64)) | ($false = rel_s4 @ sK19 @ X64) | ($false = rel_s4 @ sK13 @ sK19) | ($false = rel_s4 @ sK19 @ X65) | ($true = p @ X65) <- {6, 42} [superposition 924,1383] 126.57/124.68 2265. ($false = $true) | ($false = p @ (sK17 @ X66)) | ($false = rel_s4 @ sK19 @ X66) | ($false = rel_s4 @ sK13 @ sK19) | ($false = rel_s4 @ sK19 @ X67) | ($true = p @ X67) <- {6, 44} [superposition 931,1383] 126.57/124.68 2266. ($false = vIMP_37 @ $false @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK19))) @ (big_q @ sK24)))) | ($false = p @ (sK17 @ X68)) | ($false = rel_s4 @ sK19 @ X68) | ($false = rel_s4 @ sK13 @ sK19) | ($false = rel_s4 @ sK19 @ X69) | ($true = p @ X69) <- {6, 70} [superposition 1410,1383] 126.57/124.68 2267. ($false = $true) | ($false = p @ (sK17 @ X68)) | ($false = rel_s4 @ sK19 @ X68) | ($false = rel_s4 @ sK13 @ sK19) | ($false = rel_s4 @ sK19 @ X69) | ($true = p @ X69) <- {6, 70} [HOL short circuit evaluation 2266] 126.57/124.68 2268. ($false = $true) | ($false = p @ (sK17 @ X62)) | ($false = rel_s4 @ sK19 @ X62) | ($false = rel_s4 @ sK13 @ sK19) | ($false = rel_s4 @ sK19 @ X63) | ($true = p @ X63) <- {6, 28} [HOL short circuit evaluation 2263] 126.57/124.68 2269. ($false = $true) | ($false = p @ (sK17 @ X58)) | ($false = rel_s4 @ sK18 @ X58) | ($false = rel_s4 @ sK13 @ sK18) | ($false = rel_s4 @ sK18 @ X59) | ($true = p @ X59) <- {6, 72} [HOL short circuit evaluation 2261] 126.57/124.68 2270. ($false = $true) | ($false = p @ (sK17 @ X52)) | ($false = rel_s4 @ sK18 @ X52) | ($false = rel_s4 @ sK13 @ sK18) | ($false = rel_s4 @ sK18 @ X53) | ($true = p @ X53) <- {6, 36} [HOL short circuit evaluation 2258] 126.57/124.68 2274. 122 <=> ! [X1,X0,X2] : (($false = p @ (sK17 @ X1)) | ($true = p @ X2) | ($false = rel_s4 @ X0 @ X2) | ($false = rel_s4 @ sK13 @ X0) | ($false = rel_s4 @ X0 @ X1)) [avatar definition] 126.57/124.68 2276. 122 | 0 | ~6 [avatar split clause 2236,368,315,2274] 126.57/124.68 2278. 124 <=> ! [X9,X5 : mu,X7,X8,X6] : (($false = p @ (sK17 @ X7)) | ($true != exists_in_world @ X5 @ X9) | ($true != rel_s4 @ X9 @ X6) | ($true = p @ X8) | ($false = rel_s4 @ X6 @ X8) | ($false = rel_s4 @ sK13 @ X6) | ($false = rel_s4 @ X6 @ X7)) [avatar definition] 126.57/124.68 2280. 124 | 0 | ~6 [avatar split clause 2237,368,315,2278] 126.57/124.68 2282. 126 <=> ! [X15] : (($false = rel_s4 @ sK13 @ X15) | ($true = p @ X15)) [avatar definition] 126.57/124.68 2283. ($false = rel_s4 @ sK13 @ X15) | ($true = p @ X15) <- {126} [avatar component clause 2282] 126.57/124.68 2285. 129 <=> ($false != rel_s4 @ sK13 @ sK13) [avatar definition] 126.57/124.68 2286. ($false != rel_s4 @ sK13 @ sK13) <- {129} [avatar component clause 2285] 126.57/124.68 2288. 128 <=> ($false = rel_s4 @ sK13 @ sK13) [avatar definition] 126.57/124.68 2289. ($false = rel_s4 @ sK13 @ sK13) <- {128} [avatar component clause 2288] 126.57/124.68 2291. 130 <=> ! [X14] : (($false = p @ (sK17 @ X14)) | ($false = rel_s4 @ sK13 @ X14)) [avatar definition] 126.57/124.68 2292. ($false = rel_s4 @ sK13 @ X14) | ($false = p @ (sK17 @ X14)) <- {130} [avatar component clause 2291] 126.57/124.68 2293. 126 | 128 | 130 | 0 | ~6 | ~12 [avatar split clause 2238,388,368,315,2291,2288,2282] 126.57/124.68 2294. ($false = $true) | ($false = $true) | ($false = p @ (sK17 @ X16)) | ($false = rel_s4 @ sK18 @ X16) | ($false = rel_s4 @ sK18 @ X17) | ($true = p @ X17) <- {6, 34, 58} [forward demodulation 2239,839] 126.57/124.68 2295. ($false = $true) | ($false = p @ (sK17 @ X16)) | ($false = rel_s4 @ sK18 @ X16) | ($false = rel_s4 @ sK18 @ X17) | ($true = p @ X17) <- {6, 34, 58} [duplicate literal removal 2294] 126.57/124.68 2297. 132 <=> ! [X17] : (($false = rel_s4 @ sK18 @ X17) | ($true = p @ X17)) [avatar definition] 126.57/124.68 2298. ($false = rel_s4 @ sK18 @ X17) | ($true = p @ X17) <- {132} [avatar component clause 2297] 126.57/124.68 2300. 134 <=> ! [X16] : (($false = p @ (sK17 @ X16)) | ($false = rel_s4 @ sK18 @ X16)) [avatar definition] 126.57/124.68 2301. ($false = rel_s4 @ sK18 @ X16) | ($false = p @ (sK17 @ X16)) <- {134} [avatar component clause 2300] 126.57/124.68 2302. 132 | 134 | 0 | ~6 | ~34 | ~58 [avatar split clause 2295,1327,838,368,315,2300,2297] 126.57/124.68 2303. ($false = $true) | ($false = $true) | ($false = p @ (sK17 @ X18)) | ($false = rel_s4 @ sK18 @ X18) | ($false = rel_s4 @ sK18 @ X19) | ($true = p @ X19) <- {6, 34, 46} [forward demodulation 2240,839] 126.57/124.68 2304. ($false = $true) | ($false = p @ (sK17 @ X18)) | ($false = rel_s4 @ sK18 @ X18) | ($false = rel_s4 @ sK18 @ X19) | ($true = p @ X19) <- {6, 34, 46} [duplicate literal removal 2303] 126.57/124.68 2305. 132 | 134 | 0 | ~6 | ~34 | ~46 [avatar split clause 2304,1109,838,368,315,2300,2297] 126.57/124.68 2306. ($false = $true) | ($false = $true) | ($false = p @ (sK17 @ X20)) | ($false = rel_s4 @ sK18 @ X20) | ($false = rel_s4 @ sK18 @ X21) | ($true = p @ X21) <- {6, 34, 48} [forward demodulation 2241,839] 126.57/124.68 2307. ($false = $true) | ($false = p @ (sK17 @ X20)) | ($false = rel_s4 @ sK18 @ X20) | ($false = rel_s4 @ sK18 @ X21) | ($true = p @ X21) <- {6, 34, 48} [duplicate literal removal 2306] 126.57/124.68 2308. 132 | 134 | 0 | ~6 | ~34 | ~48 [avatar split clause 2307,1116,838,368,315,2300,2297] 126.57/124.68 2309. ($false = $true) | ($false = $true) | ($false = p @ (sK17 @ X22)) | ($false = rel_s4 @ sK19 @ X22) | ($false = rel_s4 @ sK19 @ X23) | ($true = p @ X23) <- {6, 26, 50} [forward demodulation 2242,799] 126.57/124.68 2310. ($false = $true) | ($false = p @ (sK17 @ X22)) | ($false = rel_s4 @ sK19 @ X22) | ($false = rel_s4 @ sK19 @ X23) | ($true = p @ X23) <- {6, 26, 50} [duplicate literal removal 2309] 126.57/124.68 2312. 136 <=> ! [X23] : (($false = rel_s4 @ sK19 @ X23) | ($true = p @ X23)) [avatar definition] 126.57/124.68 2313. ($false = rel_s4 @ sK19 @ X23) | ($true = p @ X23) <- {136} [avatar component clause 2312] 126.57/124.68 2315. 138 <=> ! [X22] : (($false = p @ (sK17 @ X22)) | ($false = rel_s4 @ sK19 @ X22)) [avatar definition] 126.57/124.68 2316. ($false = rel_s4 @ sK19 @ X22) | ($false = p @ (sK17 @ X22)) <- {138} [avatar component clause 2315] 126.57/124.68 2317. 136 | 138 | 0 | ~6 | ~26 | ~50 [avatar split clause 2310,1296,798,368,315,2315,2312] 126.57/124.68 2318. ($false = $true) | ($false = $true) | ($false = p @ (sK17 @ X24)) | ($false = rel_s4 @ sK19 @ X24) | ($false = rel_s4 @ sK19 @ X25) | ($true = p @ X25) <- {6, 26, 42} [forward demodulation 2243,799] 126.57/124.68 2319. ($false = $true) | ($false = p @ (sK17 @ X24)) | ($false = rel_s4 @ sK19 @ X24) | ($false = rel_s4 @ sK19 @ X25) | ($true = p @ X25) <- {6, 26, 42} [duplicate literal removal 2318] 126.57/124.68 2320. 136 | 138 | 0 | ~6 | ~26 | ~42 [avatar split clause 2319,923,798,368,315,2315,2312] 126.57/124.68 2321. ($false = $true) | ($false = $true) | ($false = p @ (sK17 @ X26)) | ($false = rel_s4 @ sK19 @ X26) | ($false = rel_s4 @ sK19 @ X27) | ($true = p @ X27) <- {6, 26, 44} [forward demodulation 2244,799] 126.57/124.68 2322. ($false = $true) | ($false = p @ (sK17 @ X26)) | ($false = rel_s4 @ sK19 @ X26) | ($false = rel_s4 @ sK19 @ X27) | ($true = p @ X27) <- {6, 26, 44} [duplicate literal removal 2321] 126.57/124.68 2323. 136 | 138 | 0 | ~6 | ~26 | ~44 [avatar split clause 2322,930,798,368,315,2315,2312] 126.57/124.68 2324. 122 | 0 | ~6 [avatar split clause 2245,368,315,2274] 126.57/124.68 2325. 124 | 0 | ~6 [avatar split clause 2246,368,315,2278] 126.57/124.68 2326. 126 | 128 | 130 | 0 | ~6 | ~12 [avatar split clause 2256,388,368,315,2291,2288,2282] 126.57/124.68 2327. ($false = $true) | ($false = $true) | ($false = p @ (sK17 @ X50)) | ($false = rel_s4 @ sK18 @ X50) | ($false = rel_s4 @ sK18 @ X51) | ($true = p @ X51) <- {6, 34, 58} [forward demodulation 2257,839] 126.57/124.68 2328. ($false = $true) | ($false = p @ (sK17 @ X50)) | ($false = rel_s4 @ sK18 @ X50) | ($false = rel_s4 @ sK18 @ X51) | ($true = p @ X51) <- {6, 34, 58} [duplicate literal removal 2327] 126.57/124.68 2329. 132 | 134 | 0 | ~6 | ~34 | ~58 [avatar split clause 2328,1327,838,368,315,2300,2297] 126.57/124.68 2330. ($false = $true) | ($false = $true) | ($false = p @ (sK17 @ X52)) | ($false = rel_s4 @ sK18 @ X52) | ($false = rel_s4 @ sK18 @ X53) | ($true = p @ X53) <- {6, 34, 36} [forward demodulation 2270,839] 126.57/124.68 2331. ($false = $true) | ($false = p @ (sK17 @ X52)) | ($false = rel_s4 @ sK18 @ X52) | ($false = rel_s4 @ sK18 @ X53) | ($true = p @ X53) <- {6, 34, 36} [duplicate literal removal 2330] 126.57/124.68 2332. 132 | 134 | 0 | ~6 | ~34 | ~36 [avatar split clause 2331,845,838,368,315,2300,2297] 126.57/124.68 2333. ($false = $true) | ($false = $true) | ($false = p @ (sK17 @ X54)) | ($false = rel_s4 @ sK18 @ X54) | ($false = rel_s4 @ sK18 @ X55) | ($true = p @ X55) <- {6, 34, 46} [forward demodulation 2259,839] 126.57/124.68 2334. ($false = $true) | ($false = p @ (sK17 @ X54)) | ($false = rel_s4 @ sK18 @ X54) | ($false = rel_s4 @ sK18 @ X55) | ($true = p @ X55) <- {6, 34, 46} [duplicate literal removal 2333] 126.57/124.68 2335. 132 | 134 | 0 | ~6 | ~34 | ~46 [avatar split clause 2334,1109,838,368,315,2300,2297] 126.57/124.68 2336. ($false = $true) | ($false = $true) | ($false = p @ (sK17 @ X56)) | ($false = rel_s4 @ sK18 @ X56) | ($false = rel_s4 @ sK18 @ X57) | ($true = p @ X57) <- {6, 34, 48} [forward demodulation 2260,839] 126.57/124.68 2337. ($false = $true) | ($false = p @ (sK17 @ X56)) | ($false = rel_s4 @ sK18 @ X56) | ($false = rel_s4 @ sK18 @ X57) | ($true = p @ X57) <- {6, 34, 48} [duplicate literal removal 2336] 126.57/124.68 2338. 132 | 134 | 0 | ~6 | ~34 | ~48 [avatar split clause 2337,1116,838,368,315,2300,2297] 126.57/124.68 2339. ($false = $true) | ($false = $true) | ($false = p @ (sK17 @ X58)) | ($false = rel_s4 @ sK18 @ X58) | ($false = rel_s4 @ sK18 @ X59) | ($true = p @ X59) <- {6, 34, 72} [forward demodulation 2269,839] 126.57/124.68 2340. ($false = $true) | ($false = p @ (sK17 @ X58)) | ($false = rel_s4 @ sK18 @ X58) | ($false = rel_s4 @ sK18 @ X59) | ($true = p @ X59) <- {6, 34, 72} [duplicate literal removal 2339] 126.57/124.68 2341. 132 | 134 | 0 | ~6 | ~34 | ~72 [avatar split clause 2340,1431,838,368,315,2300,2297] 126.57/124.68 2342. ($false = $true) | ($false = $true) | ($false = p @ (sK17 @ X60)) | ($false = rel_s4 @ sK19 @ X60) | ($false = rel_s4 @ sK19 @ X61) | ($true = p @ X61) <- {6, 26, 50} [forward demodulation 2262,799] 126.57/124.68 2343. ($false = $true) | ($false = p @ (sK17 @ X60)) | ($false = rel_s4 @ sK19 @ X60) | ($false = rel_s4 @ sK19 @ X61) | ($true = p @ X61) <- {6, 26, 50} [duplicate literal removal 2342] 126.57/124.68 2344. 136 | 138 | 0 | ~6 | ~26 | ~50 [avatar split clause 2343,1296,798,368,315,2315,2312] 126.57/124.68 2345. ($false = $true) | ($false = $true) | ($false = p @ (sK17 @ X62)) | ($false = rel_s4 @ sK19 @ X62) | ($false = rel_s4 @ sK19 @ X63) | ($true = p @ X63) <- {6, 26, 28} [forward demodulation 2268,799] 126.57/124.68 2346. ($false = $true) | ($false = p @ (sK17 @ X62)) | ($false = rel_s4 @ sK19 @ X62) | ($false = rel_s4 @ sK19 @ X63) | ($true = p @ X63) <- {6, 26, 28} [duplicate literal removal 2345] 126.57/124.68 2347. 136 | 138 | 0 | ~6 | ~26 | ~28 [avatar split clause 2346,805,798,368,315,2315,2312] 126.57/124.68 2348. ($false = $true) | ($false = $true) | ($false = p @ (sK17 @ X64)) | ($false = rel_s4 @ sK19 @ X64) | ($false = rel_s4 @ sK19 @ X65) | ($true = p @ X65) <- {6, 26, 42} [forward demodulation 2264,799] 126.57/124.68 2349. ($false = $true) | ($false = p @ (sK17 @ X64)) | ($false = rel_s4 @ sK19 @ X64) | ($false = rel_s4 @ sK19 @ X65) | ($true = p @ X65) <- {6, 26, 42} [duplicate literal removal 2348] 126.57/124.68 2350. 136 | 138 | 0 | ~6 | ~26 | ~42 [avatar split clause 2349,923,798,368,315,2315,2312] 126.57/124.68 2351. ($false = $true) | ($false = $true) | ($false = p @ (sK17 @ X66)) | ($false = rel_s4 @ sK19 @ X66) | ($false = rel_s4 @ sK19 @ X67) | ($true = p @ X67) <- {6, 26, 44} [forward demodulation 2265,799] 126.57/124.68 2352. ($false = $true) | ($false = p @ (sK17 @ X66)) | ($false = rel_s4 @ sK19 @ X66) | ($false = rel_s4 @ sK19 @ X67) | ($true = p @ X67) <- {6, 26, 44} [duplicate literal removal 2351] 126.57/124.68 2353. 136 | 138 | 0 | ~6 | ~26 | ~44 [avatar split clause 2352,930,798,368,315,2315,2312] 126.57/124.68 2354. ($false = $true) | ($false = $true) | ($false = p @ (sK17 @ X68)) | ($false = rel_s4 @ sK19 @ X68) | ($false = rel_s4 @ sK19 @ X69) | ($true = p @ X69) <- {6, 26, 70} [forward demodulation 2267,799] 126.57/124.68 2355. ($false = $true) | ($false = p @ (sK17 @ X68)) | ($false = rel_s4 @ sK19 @ X68) | ($false = rel_s4 @ sK19 @ X69) | ($true = p @ X69) <- {6, 26, 70} [duplicate literal removal 2354] 126.57/124.68 2356. 136 | 138 | 0 | ~6 | ~26 | ~70 [avatar split clause 2355,1409,798,368,315,2315,2312] 126.57/124.68 2363. ($false = $true) | ($false = exists_in_world @ X4 @ X6) | ($false = rel_s4 @ X6 @ X7) | ($false = rel_s4 @ sK13 @ X6) | ($false = rel_s4 @ X6 @ (sK10 @ (big_q @ X4) @ X5)) | ($false = p @ (sK17 @ X7)) | big_q @ X4 = X5 | ($true != X5 @ (sK10 @ (big_q @ X4) @ X5)) <- {6} [superposition 1387,342] 126.57/124.68 2364. ($true != $true) | big_q @ X2 = X3 | ($false != big_q @ X2 @ (sK10 @ X3 @ (big_q @ X2))) | ($false = exists_in_world @ X2 @ X4) | ($false = rel_s4 @ X4 @ X5) | ($false = rel_s4 @ sK13 @ X4) | ($false = rel_s4 @ X4 @ (sK10 @ X3 @ (big_q @ X2))) | ($false = p @ (sK17 @ X5)) <- {6} [superposition 409,1387] 126.57/124.68 2365. ($false = rel_s4 @ X8 @ (sK10 @ X7 @ (big_q @ X6))) | big_q @ X6 = X7 | ($false = exists_in_world @ X6 @ X8) | ($false = rel_s4 @ X8 @ X9) | ($false = rel_s4 @ sK13 @ X8) | ($true != X7 @ (sK10 @ X7 @ (big_q @ X6))) | ($false = p @ (sK17 @ X9)) <- {6} [superposition 171,1387] 126.57/124.68 2366. ($false = $true) | big_q @ X10 = X11 | ($true != X11 @ (sK10 @ (big_q @ X10) @ X11)) | ($false = exists_in_world @ X10 @ X12) | ($false = rel_s4 @ X12 @ X13) | ($false = rel_s4 @ sK13 @ X12) | ($false = rel_s4 @ X12 @ (sK10 @ (big_q @ X10) @ X11)) | ($false = p @ (sK17 @ X13)) <- {6} [superposition 342,1387] 126.57/124.68 2367. ($false = rel_s4 @ X16 @ (sK10 @ (big_q @ X14) @ X15)) | big_q @ X14 = X15 | ($false = exists_in_world @ X14 @ X16) | ($false = rel_s4 @ X16 @ X17) | ($false = rel_s4 @ sK13 @ X16) | ($true != X15 @ (sK10 @ (big_q @ X14) @ X15)) | ($false = p @ (sK17 @ X17)) <- {6} [superposition 171,1387] 126.57/124.68 2368. ($true != $true) | rel_s4 @ X19 = big_q @ X18 | ($false != big_q @ X18 @ (sK10 @ (big_q @ X18) @ (rel_s4 @ X19))) | ($false = exists_in_world @ X18 @ X20) | ($false = rel_s4 @ X20 @ X21) | ($false = rel_s4 @ sK13 @ X20) | ($false = rel_s4 @ X20 @ (sK10 @ (big_q @ X18) @ (rel_s4 @ X19))) | ($false = p @ (sK17 @ X21)) <- {6} [superposition 577,1387] 126.57/124.68 2369. ($true != $true) | exists_in_world @ X23 = big_q @ X22 | ($false != big_q @ X22 @ (sK10 @ (big_q @ X22) @ (exists_in_world @ X23))) | ($false = exists_in_world @ X22 @ X24) | ($false = rel_s4 @ X24 @ X25) | ($false = rel_s4 @ sK13 @ X24) | ($false = rel_s4 @ X24 @ (sK10 @ (big_q @ X22) @ (exists_in_world @ X23))) | ($false = p @ (sK17 @ X25)) <- {6} [superposition 882,1387] 126.57/124.68 2372. ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ sK19 @ sK22)) @ $true) | ($false = exists_in_world @ sK20 @ X34) | ($false = rel_s4 @ X34 @ X35) | ($false = rel_s4 @ sK13 @ X34) | ($false = rel_s4 @ X34 @ sK22) | ($false = p @ (sK17 @ X35)) <- {6, 52} [superposition 1304,1387] 126.57/124.68 2373. ($false = $true) | ($false = exists_in_world @ sK20 @ X34) | ($false = rel_s4 @ X34 @ X35) | ($false = rel_s4 @ sK13 @ X34) | ($false = rel_s4 @ X34 @ sK22) | ($false = p @ (sK17 @ X35)) <- {6, 52} [HOL short circuit evaluation 2372] 126.57/124.68 2374. ($false = rel_s4 @ X24 @ (sK10 @ (big_q @ X22) @ (exists_in_world @ X23))) | ($false != big_q @ X22 @ (sK10 @ (big_q @ X22) @ (exists_in_world @ X23))) | ($false = exists_in_world @ X22 @ X24) | ($false = rel_s4 @ X24 @ X25) | ($false = rel_s4 @ sK13 @ X24) | exists_in_world @ X23 = big_q @ X22 | ($false = p @ (sK17 @ X25)) <- {6} [trivial inequality removal 2369] 126.57/124.68 2375. ($false = rel_s4 @ X20 @ (sK10 @ (big_q @ X18) @ (rel_s4 @ X19))) | ($false != big_q @ X18 @ (sK10 @ (big_q @ X18) @ (rel_s4 @ X19))) | ($false = exists_in_world @ X18 @ X20) | ($false = rel_s4 @ X20 @ X21) | ($false = rel_s4 @ sK13 @ X20) | rel_s4 @ X19 = big_q @ X18 | ($false = p @ (sK17 @ X21)) <- {6} [trivial inequality removal 2368] 126.57/124.68 2376. ($false = rel_s4 @ X4 @ (sK10 @ X3 @ (big_q @ X2))) | ($false != big_q @ X2 @ (sK10 @ X3 @ (big_q @ X2))) | ($false = exists_in_world @ X2 @ X4) | ($false = rel_s4 @ X4 @ X5) | ($false = rel_s4 @ sK13 @ X4) | big_q @ X2 = X3 | ($false = p @ (sK17 @ X5)) <- {6} [trivial inequality removal 2364] 126.57/124.68 2378. 140 <=> ! [X5 : ($i > $o),X7,X4 : mu,X6] : (($false = exists_in_world @ X4 @ X6) | ($true != X5 @ (sK10 @ (big_q @ X4) @ X5)) | big_q @ X4 = X5 | ($false = p @ (sK17 @ X7)) | ($false = rel_s4 @ X6 @ (sK10 @ (big_q @ X4) @ X5)) | ($false = rel_s4 @ sK13 @ X6) | ($false = rel_s4 @ X6 @ X7)) [avatar definition] 126.57/124.68 2380. 140 | 0 | ~6 [avatar split clause 2363,368,315,2378] 126.57/124.68 2381. 140 | 0 | ~6 [avatar split clause 2366,368,315,2378] 126.57/124.68 2383. 142 <=> ! [X34,X35] : (($false = exists_in_world @ sK20 @ X34) | ($false = p @ (sK17 @ X35)) | ($false = rel_s4 @ X34 @ sK22) | ($false = rel_s4 @ sK13 @ X34) | ($false = rel_s4 @ X34 @ X35)) [avatar definition] 126.57/124.68 2384. ($false = exists_in_world @ sK20 @ X34) | ($false = p @ (sK17 @ X35)) | ($false = rel_s4 @ X34 @ sK22) | ($false = rel_s4 @ sK13 @ X34) | ($false = rel_s4 @ X34 @ X35) <- {142} [avatar component clause 2383] 126.57/124.68 2385. 142 | 0 | ~6 | ~52 [avatar split clause 2373,1303,368,315,2383] 126.57/124.68 2393. ($false = vOR_37 @ (vNOT_33 @ $true) @ (p @ (sK17 @ X1))) | ($false = exists_in_world @ X2 @ X3) | ($false = rel_s4 @ X3 @ X1) | ($false = rel_s4 @ sK13 @ X3) | ($false = rel_s4 @ X3 @ X4) | ($true = big_q @ X2 @ X4) | ($false = exists_in_world @ X5 @ X6) | ($false = rel_s4 @ X6 @ X1) | ($false = rel_s4 @ sK13 @ X6) | ($false = rel_s4 @ X6 @ X7) | ($true = big_q @ X5 @ X7) <- {6} [superposition 959,1389] 126.57/124.68 2397. ($false = $true) | big_r @ X30 = X29 | ($false = exists_in_world @ X30 @ (sK10 @ X29 @ (big_r @ X30))) | ($true != X29 @ (sK10 @ X29 @ (big_r @ X30))) | ($false = rel_s4 @ sK13 @ (sK10 @ X29 @ (big_r @ X30))) | ($false = rel_s4 @ (sK10 @ X29 @ (big_r @ X30)) @ X31) | ($true = p @ X31) <- {6} [superposition 1353,258] 126.57/124.68 2398. ($false = $true) | big_r @ X34 = X33 | ($false = exists_in_world @ X34 @ X32) | ($true != X33 @ (sK10 @ X33 @ (big_r @ X34))) | ($false = rel_s4 @ sK13 @ X32) | ($false = rel_s4 @ X32 @ X35) | ($true = p @ X35) | ($false = rel_s4 @ X32 @ X36) | ($false = rel_s4 @ X36 @ (sK10 @ X33 @ (big_r @ X34))) <- {6} [superposition 1353,253] 126.57/124.68 2401. ($false = $true) | big_r @ X34 = X33 | ($false = exists_in_world @ X34 @ (sK10 @ X33 @ (big_r @ X34))) | ($true != X33 @ (sK10 @ X33 @ (big_r @ X34))) | ($false = rel_s4 @ sK13 @ (sK10 @ X33 @ (big_r @ X34))) | ($false = rel_s4 @ (sK10 @ X33 @ (big_r @ X34)) @ X35) | ($true = p @ X35) <- {6} [superposition 258,1353] 126.57/124.68 2402. ($false = $true) | ($false = rel_s4 @ X36 @ X39) | ($false = rel_s4 @ X39 @ (sK10 @ X37 @ (big_r @ X38))) | big_r @ X38 = X37 | ($false = exists_in_world @ X38 @ X36) | ($true != X37 @ (sK10 @ X37 @ (big_r @ X38))) | ($false = rel_s4 @ sK13 @ X36) | ($false = rel_s4 @ X36 @ X40) | ($true = p @ X40) <- {6} [superposition 253,1353] 126.57/124.68 2403. ($false != $false) | big_r @ X2 = X1 | ($false = exists_in_world @ X2 @ X0) | ($true != X1 @ (sK10 @ X1 @ (big_r @ X2))) | ($false = rel_s4 @ sK13 @ X0) | ($false = rel_s4 @ X0 @ (sK10 @ X1 @ (big_r @ X2))) | ($true = p @ (sK10 @ X1 @ (big_r @ X2))) <- {6} [equality factoring 1353] 126.57/124.68 2404. ($false = rel_s4 @ X0 @ (sK10 @ X1 @ (big_r @ X2))) | ($false = exists_in_world @ X2 @ X0) | ($true != X1 @ (sK10 @ X1 @ (big_r @ X2))) | ($false = rel_s4 @ sK13 @ X0) | big_r @ X2 = X1 | ($true = p @ (sK10 @ X1 @ (big_r @ X2))) <- {6} [trivial inequality removal 2403] 126.57/124.68 2408. 144 <=> ! [X29 : ($i > $o),X31,X30 : mu] : (big_r @ X30 = X29 | ($true = p @ X31) | ($false = rel_s4 @ (sK10 @ X29 @ (big_r @ X30)) @ X31) | ($false = rel_s4 @ sK13 @ (sK10 @ X29 @ (big_r @ X30))) | ($true != X29 @ (sK10 @ X29 @ (big_r @ X30))) | ($false = exists_in_world @ X30 @ (sK10 @ X29 @ (big_r @ X30)))) [avatar definition] 126.57/124.68 2409. ($false = exists_in_world @ X30 @ (sK10 @ X29 @ (big_r @ X30))) | ($true = p @ X31) | ($false = rel_s4 @ (sK10 @ X29 @ (big_r @ X30)) @ X31) | ($false = rel_s4 @ sK13 @ (sK10 @ X29 @ (big_r @ X30))) | ($true != X29 @ (sK10 @ X29 @ (big_r @ X30))) | big_r @ X30 = X29 <- {144} [avatar component clause 2408] 126.57/124.68 2410. 144 | 0 | ~6 [avatar split clause 2397,368,315,2408] 126.57/124.68 2412. 146 <=> ! [X32,X34 : mu,X36,X33 : ($i > $o),X35] : (big_r @ X34 = X33 | ($false = rel_s4 @ X36 @ (sK10 @ X33 @ (big_r @ X34))) | ($false = rel_s4 @ X32 @ X36) | ($true = p @ X35) | ($false = rel_s4 @ X32 @ X35) | ($false = rel_s4 @ sK13 @ X32) | ($true != X33 @ (sK10 @ X33 @ (big_r @ X34))) | ($false = exists_in_world @ X34 @ X32)) [avatar definition] 126.57/124.68 2413. ($false = rel_s4 @ X36 @ (sK10 @ X33 @ (big_r @ X34))) | big_r @ X34 = X33 | ($false = rel_s4 @ X32 @ X36) | ($true = p @ X35) | ($false = rel_s4 @ X32 @ X35) | ($false = rel_s4 @ sK13 @ X32) | ($true != X33 @ (sK10 @ X33 @ (big_r @ X34))) | ($false = exists_in_world @ X34 @ X32) <- {146} [avatar component clause 2412] 126.57/124.68 2414. 146 | 0 | ~6 [avatar split clause 2398,368,315,2412] 126.57/124.68 2415. 144 | 0 | ~6 [avatar split clause 2401,368,315,2408] 126.57/124.68 2416. 146 | 0 | ~6 [avatar split clause 2402,368,315,2412] 126.57/124.68 2417. ($false = $true) | big_r @ X44 = X45 | ($false = exists_in_world @ X44 @ (sK10 @ (big_r @ X44) @ X45)) | ($true != X45 @ (sK10 @ (big_r @ X44) @ X45)) | ($false = rel_s4 @ sK13 @ (sK10 @ (big_r @ X44) @ X45)) | ($false = rel_s4 @ (sK10 @ (big_r @ X44) @ X45) @ X46) | ($true = p @ X46) <- {6} [superposition 1355,258] 126.57/124.68 2418. ($false = $true) | big_r @ X48 = X49 | ($false = exists_in_world @ X48 @ X47) | ($true != X49 @ (sK10 @ (big_r @ X48) @ X49)) | ($false = rel_s4 @ sK13 @ X47) | ($false = rel_s4 @ X47 @ X50) | ($true = p @ X50) | ($false = rel_s4 @ X47 @ X51) | ($false = rel_s4 @ X51 @ (sK10 @ (big_r @ X48) @ X49)) <- {6} [superposition 1355,253] 126.57/124.68 2424. ($false = $true) | big_r @ X58 = X59 | ($false = exists_in_world @ X58 @ (sK10 @ (big_r @ X58) @ X59)) | ($true != X59 @ (sK10 @ (big_r @ X58) @ X59)) | ($false = rel_s4 @ sK13 @ (sK10 @ (big_r @ X58) @ X59)) | ($false = rel_s4 @ (sK10 @ (big_r @ X58) @ X59) @ X60) | ($true = p @ X60) <- {6} [superposition 258,1355] 126.57/124.68 2425. ($false = $true) | ($false = rel_s4 @ X61 @ X64) | ($false = rel_s4 @ X64 @ (sK10 @ (big_r @ X62) @ X63)) | big_r @ X62 = X63 | ($false = exists_in_world @ X62 @ X61) | ($true != X63 @ (sK10 @ (big_r @ X62) @ X63)) | ($false = rel_s4 @ sK13 @ X61) | ($false = rel_s4 @ X61 @ X65) | ($true = p @ X65) <- {6} [superposition 253,1355] 126.57/124.68 2426. ($false != $false) | big_r @ X1 = X2 | ($false = exists_in_world @ X1 @ X0) | ($true != X2 @ (sK10 @ (big_r @ X1) @ X2)) | ($false = rel_s4 @ sK13 @ X0) | ($false = rel_s4 @ X0 @ (sK10 @ (big_r @ X1) @ X2)) | ($true = p @ (sK10 @ (big_r @ X1) @ X2)) <- {6} [equality factoring 1355] 126.57/124.68 2427. ($false = rel_s4 @ X0 @ (sK10 @ (big_r @ X1) @ X2)) | ($false = exists_in_world @ X1 @ X0) | ($true != X2 @ (sK10 @ (big_r @ X1) @ X2)) | ($false = rel_s4 @ sK13 @ X0) | big_r @ X1 = X2 | ($true = p @ (sK10 @ (big_r @ X1) @ X2)) <- {6} [trivial inequality removal 2426] 126.57/124.68 2435. 148 <=> ! [X44 : mu,X46,X45 : ($i > $o)] : (big_r @ X44 = X45 | ($true = p @ X46) | ($false = rel_s4 @ (sK10 @ (big_r @ X44) @ X45) @ X46) | ($false = rel_s4 @ sK13 @ (sK10 @ (big_r @ X44) @ X45)) | ($true != X45 @ (sK10 @ (big_r @ X44) @ X45)) | ($false = exists_in_world @ X44 @ (sK10 @ (big_r @ X44) @ X45))) [avatar definition] 126.57/124.68 2436. ($false = exists_in_world @ X44 @ (sK10 @ (big_r @ X44) @ X45)) | ($true = p @ X46) | ($false = rel_s4 @ (sK10 @ (big_r @ X44) @ X45) @ X46) | ($false = rel_s4 @ sK13 @ (sK10 @ (big_r @ X44) @ X45)) | ($true != X45 @ (sK10 @ (big_r @ X44) @ X45)) | big_r @ X44 = X45 <- {148} [avatar component clause 2435] 126.57/124.68 2437. 148 | 0 | ~6 [avatar split clause 2417,368,315,2435] 126.57/124.68 2439. 150 <=> ! [X49 : ($i > $o),X51,X48 : mu,X50,X47] : (big_r @ X48 = X49 | ($false = rel_s4 @ X51 @ (sK10 @ (big_r @ X48) @ X49)) | ($false = rel_s4 @ X47 @ X51) | ($true = p @ X50) | ($false = rel_s4 @ X47 @ X50) | ($false = rel_s4 @ sK13 @ X47) | ($true != X49 @ (sK10 @ (big_r @ X48) @ X49)) | ($false = exists_in_world @ X48 @ X47)) [avatar definition] 126.57/124.68 2440. ($false = rel_s4 @ X51 @ (sK10 @ (big_r @ X48) @ X49)) | big_r @ X48 = X49 | ($false = rel_s4 @ X47 @ X51) | ($true = p @ X50) | ($false = rel_s4 @ X47 @ X50) | ($false = rel_s4 @ sK13 @ X47) | ($true != X49 @ (sK10 @ (big_r @ X48) @ X49)) | ($false = exists_in_world @ X48 @ X47) <- {150} [avatar component clause 2439] 126.57/124.68 2441. 150 | 0 | ~6 [avatar split clause 2418,368,315,2439] 126.57/124.68 2442. 148 | 0 | ~6 [avatar split clause 2424,368,315,2435] 126.57/124.68 2443. 150 | 0 | ~6 [avatar split clause 2425,368,315,2439] 126.57/124.68 2444. ($false = $true) | ($false != big_r @ X36 @ (sK10 @ X35 @ (big_r @ X36))) | ($false = exists_in_world @ X36 @ (sK10 @ X35 @ (big_r @ X36))) | big_r @ X36 = X35 | ($false = rel_s4 @ sK13 @ (sK10 @ X35 @ (big_r @ X36))) | ($false = rel_s4 @ (sK10 @ X35 @ (big_r @ X36)) @ X37) | ($true = p @ X37) <- {6} [superposition 1360,258] 126.57/124.68 2445. ($false = $true) | ($false != big_r @ X40 @ (sK10 @ X39 @ (big_r @ X40))) | ($false = exists_in_world @ X40 @ X38) | big_r @ X40 = X39 | ($false = rel_s4 @ sK13 @ X38) | ($false = rel_s4 @ X38 @ X41) | ($true = p @ X41) | ($false = rel_s4 @ X38 @ X42) | ($false = rel_s4 @ X42 @ (sK10 @ X39 @ (big_r @ X40))) <- {6} [superposition 1360,253] 126.57/124.68 2448. ($false = $true) | ($false != big_r @ X40 @ (sK10 @ X39 @ (big_r @ X40))) | ($false = exists_in_world @ X40 @ (sK10 @ X39 @ (big_r @ X40))) | big_r @ X40 = X39 | ($false = rel_s4 @ sK13 @ (sK10 @ X39 @ (big_r @ X40))) | ($false = rel_s4 @ (sK10 @ X39 @ (big_r @ X40)) @ X41) | ($true = p @ X41) <- {6} [superposition 258,1360] 126.57/124.68 2449. ($false = $true) | ($false = rel_s4 @ X42 @ X45) | ($false = rel_s4 @ X45 @ (sK10 @ X43 @ (big_r @ X44))) | ($false != big_r @ X44 @ (sK10 @ X43 @ (big_r @ X44))) | ($false = exists_in_world @ X44 @ X42) | big_r @ X44 = X43 | ($false = rel_s4 @ sK13 @ X42) | ($false = rel_s4 @ X42 @ X46) | ($true = p @ X46) <- {6} [superposition 253,1360] 126.57/124.68 2450. ($false != $false) | ($false != big_r @ X2 @ (sK10 @ X1 @ (big_r @ X2))) | ($false = exists_in_world @ X2 @ X0) | big_r @ X2 = X1 | ($false = rel_s4 @ sK13 @ X0) | ($false = rel_s4 @ X0 @ (sK10 @ X1 @ (big_r @ X2))) | ($true = p @ (sK10 @ X1 @ (big_r @ X2))) <- {6} [equality factoring 1360] 126.57/124.68 2451. ($false = rel_s4 @ X0 @ (sK10 @ X1 @ (big_r @ X2))) | ($false = exists_in_world @ X2 @ X0) | big_r @ X2 = X1 | ($false = rel_s4 @ sK13 @ X0) | ($false != big_r @ X2 @ (sK10 @ X1 @ (big_r @ X2))) | ($true = p @ (sK10 @ X1 @ (big_r @ X2))) <- {6} [trivial inequality removal 2450] 126.57/124.68 2455. 152 <=> ! [X36 : mu,X35 : ($i > $o),X37] : (($false != big_r @ X36 @ (sK10 @ X35 @ (big_r @ X36))) | ($true = p @ X37) | ($false = rel_s4 @ (sK10 @ X35 @ (big_r @ X36)) @ X37) | ($false = rel_s4 @ sK13 @ (sK10 @ X35 @ (big_r @ X36))) | big_r @ X36 = X35 | ($false = exists_in_world @ X36 @ (sK10 @ X35 @ (big_r @ X36)))) [avatar definition] 126.57/124.68 2456. ($false = exists_in_world @ X36 @ (sK10 @ X35 @ (big_r @ X36))) | ($true = p @ X37) | ($false = rel_s4 @ (sK10 @ X35 @ (big_r @ X36)) @ X37) | ($false = rel_s4 @ sK13 @ (sK10 @ X35 @ (big_r @ X36))) | big_r @ X36 = X35 | ($false != big_r @ X36 @ (sK10 @ X35 @ (big_r @ X36))) <- {152} [avatar component clause 2455] 126.57/124.68 2457. 152 | 0 | ~6 [avatar split clause 2444,368,315,2455] 126.57/124.68 2459. 154 <=> ! [X40 : mu,X42,X38,X41,X39 : ($i > $o)] : (($false != big_r @ X40 @ (sK10 @ X39 @ (big_r @ X40))) | ($false = rel_s4 @ X42 @ (sK10 @ X39 @ (big_r @ X40))) | ($false = rel_s4 @ X38 @ X42) | ($true = p @ X41) | ($false = rel_s4 @ X38 @ X41) | ($false = rel_s4 @ sK13 @ X38) | big_r @ X40 = X39 | ($false = exists_in_world @ X40 @ X38)) [avatar definition] 126.57/124.68 2460. ($false = rel_s4 @ X42 @ (sK10 @ X39 @ (big_r @ X40))) | ($false != big_r @ X40 @ (sK10 @ X39 @ (big_r @ X40))) | ($false = rel_s4 @ X38 @ X42) | ($true = p @ X41) | ($false = rel_s4 @ X38 @ X41) | ($false = rel_s4 @ sK13 @ X38) | big_r @ X40 = X39 | ($false = exists_in_world @ X40 @ X38) <- {154} [avatar component clause 2459] 126.57/124.68 2461. 154 | 0 | ~6 [avatar split clause 2445,368,315,2459] 126.57/124.68 2462. 152 | 0 | ~6 [avatar split clause 2448,368,315,2455] 126.57/124.68 2463. 154 | 0 | ~6 [avatar split clause 2449,368,315,2459] 126.57/124.68 2464. ($false = $true) | big_q @ X33 = X32 | ($false = exists_in_world @ X33 @ (sK10 @ X32 @ (big_q @ X33))) | ($false = rel_s4 @ (sK10 @ X32 @ (big_q @ X33)) @ X34) | ($false = rel_s4 @ sK13 @ (sK10 @ X32 @ (big_q @ X33))) | ($true = big_r @ X33 @ X34) | ($true != X32 @ (sK10 @ X32 @ (big_q @ X33))) <- {6} [superposition 1369,258] 126.57/124.68 2465. ($false = $true) | big_q @ X37 = X36 | ($false = exists_in_world @ X37 @ X35) | ($false = rel_s4 @ X35 @ X38) | ($false = rel_s4 @ sK13 @ X35) | ($true = big_r @ X37 @ X38) | ($true != X36 @ (sK10 @ X36 @ (big_q @ X37))) | ($false = rel_s4 @ X35 @ X39) | ($false = rel_s4 @ X39 @ (sK10 @ X36 @ (big_q @ X37))) <- {6} [superposition 1369,253] 126.57/124.68 2468. ($false = $true) | big_q @ X37 = X36 | ($false = exists_in_world @ X37 @ (sK10 @ X36 @ (big_q @ X37))) | ($false = rel_s4 @ (sK10 @ X36 @ (big_q @ X37)) @ X38) | ($false = rel_s4 @ sK13 @ (sK10 @ X36 @ (big_q @ X37))) | ($true = big_r @ X37 @ X38) | ($true != X36 @ (sK10 @ X36 @ (big_q @ X37))) <- {6} [superposition 258,1369] 126.57/124.68 2469. ($false = $true) | ($false = rel_s4 @ X39 @ X42) | ($false = rel_s4 @ X42 @ (sK10 @ X40 @ (big_q @ X41))) | big_q @ X41 = X40 | ($false = exists_in_world @ X41 @ X39) | ($false = rel_s4 @ X39 @ X43) | ($false = rel_s4 @ sK13 @ X39) | ($true = big_r @ X41 @ X43) | ($true != X40 @ (sK10 @ X40 @ (big_q @ X41))) <- {6} [superposition 253,1369] 126.57/124.68 2470. ($false != $false) | big_q @ X2 = X1 | ($false = exists_in_world @ X2 @ X0) | ($false = rel_s4 @ X0 @ (sK10 @ X1 @ (big_q @ X2))) | ($false = rel_s4 @ sK13 @ X0) | ($true = big_r @ X2 @ (sK10 @ X1 @ (big_q @ X2))) | ($true != X1 @ (sK10 @ X1 @ (big_q @ X2))) <- {6} [equality factoring 1369] 126.57/124.68 2471. ($true = big_r @ X2 @ (sK10 @ X1 @ (big_q @ X2))) | ($false = exists_in_world @ X2 @ X0) | ($false = rel_s4 @ X0 @ (sK10 @ X1 @ (big_q @ X2))) | ($false = rel_s4 @ sK13 @ X0) | big_q @ X2 = X1 | ($true != X1 @ (sK10 @ X1 @ (big_q @ X2))) <- {6} [trivial inequality removal 2470] 126.57/124.68 2475. 156 <=> ! [X32 : ($i > $o),X34,X33 : mu] : (big_q @ X33 = X32 | ($true != X32 @ (sK10 @ X32 @ (big_q @ X33))) | ($true = big_r @ X33 @ X34) | ($false = rel_s4 @ sK13 @ (sK10 @ X32 @ (big_q @ X33))) | ($false = rel_s4 @ (sK10 @ X32 @ (big_q @ X33)) @ X34) | ($false = exists_in_world @ X33 @ (sK10 @ X32 @ (big_q @ X33)))) [avatar definition] 126.57/124.68 2476. ($false = exists_in_world @ X33 @ (sK10 @ X32 @ (big_q @ X33))) | ($true != X32 @ (sK10 @ X32 @ (big_q @ X33))) | ($true = big_r @ X33 @ X34) | ($false = rel_s4 @ sK13 @ (sK10 @ X32 @ (big_q @ X33))) | ($false = rel_s4 @ (sK10 @ X32 @ (big_q @ X33)) @ X34) | big_q @ X33 = X32 <- {156} [avatar component clause 2475] 126.57/124.68 2477. 156 | 0 | ~6 [avatar split clause 2464,368,315,2475] 126.57/124.68 2479. 158 <=> ! [X36 : ($i > $o),X38,X35,X37 : mu,X39] : (big_q @ X37 = X36 | ($false = rel_s4 @ X39 @ (sK10 @ X36 @ (big_q @ X37))) | ($false = rel_s4 @ X35 @ X39) | ($true != X36 @ (sK10 @ X36 @ (big_q @ X37))) | ($true = big_r @ X37 @ X38) | ($false = rel_s4 @ sK13 @ X35) | ($false = rel_s4 @ X35 @ X38) | ($false = exists_in_world @ X37 @ X35)) [avatar definition] 126.57/124.68 2480. ($false = rel_s4 @ X39 @ (sK10 @ X36 @ (big_q @ X37))) | big_q @ X37 = X36 | ($false = rel_s4 @ X35 @ X39) | ($true != X36 @ (sK10 @ X36 @ (big_q @ X37))) | ($true = big_r @ X37 @ X38) | ($false = rel_s4 @ sK13 @ X35) | ($false = rel_s4 @ X35 @ X38) | ($false = exists_in_world @ X37 @ X35) <- {158} [avatar component clause 2479] 126.57/124.68 2481. 158 | 0 | ~6 [avatar split clause 2465,368,315,2479] 126.57/124.68 2482. 156 | 0 | ~6 [avatar split clause 2468,368,315,2475] 126.57/124.68 2483. 158 | 0 | ~6 [avatar split clause 2469,368,315,2479] 126.57/124.68 2484. ($false = $true) | big_q @ X50 = X51 | ($false = exists_in_world @ X50 @ (sK10 @ (big_q @ X50) @ X51)) | ($false = rel_s4 @ (sK10 @ (big_q @ X50) @ X51) @ X52) | ($false = rel_s4 @ sK13 @ (sK10 @ (big_q @ X50) @ X51)) | ($true = big_r @ X50 @ X52) | ($true != X51 @ (sK10 @ (big_q @ X50) @ X51)) <- {6} [superposition 1371,258] 126.57/124.68 2485. ($false = $true) | big_q @ X54 = X55 | ($false = exists_in_world @ X54 @ X53) | ($false = rel_s4 @ X53 @ X56) | ($false = rel_s4 @ sK13 @ X53) | ($true = big_r @ X54 @ X56) | ($true != X55 @ (sK10 @ (big_q @ X54) @ X55)) | ($false = rel_s4 @ X53 @ X57) | ($false = rel_s4 @ X57 @ (sK10 @ (big_q @ X54) @ X55)) <- {6} [superposition 1371,253] 126.57/124.68 2491. ($false = $true) | big_q @ X64 = X65 | ($false = exists_in_world @ X64 @ (sK10 @ (big_q @ X64) @ X65)) | ($false = rel_s4 @ (sK10 @ (big_q @ X64) @ X65) @ X66) | ($false = rel_s4 @ sK13 @ (sK10 @ (big_q @ X64) @ X65)) | ($true = big_r @ X64 @ X66) | ($true != X65 @ (sK10 @ (big_q @ X64) @ X65)) <- {6} [superposition 258,1371] 126.57/124.68 2492. ($false = $true) | ($false = rel_s4 @ X67 @ X70) | ($false = rel_s4 @ X70 @ (sK10 @ (big_q @ X68) @ X69)) | big_q @ X68 = X69 | ($false = exists_in_world @ X68 @ X67) | ($false = rel_s4 @ X67 @ X71) | ($false = rel_s4 @ sK13 @ X67) | ($true = big_r @ X68 @ X71) | ($true != X69 @ (sK10 @ (big_q @ X68) @ X69)) <- {6} [superposition 253,1371] 126.57/124.68 2502. 160 <=> ! [X51 : ($i > $o),X50 : mu,X52] : (big_q @ X50 = X51 | ($true != X51 @ (sK10 @ (big_q @ X50) @ X51)) | ($true = big_r @ X50 @ X52) | ($false = rel_s4 @ sK13 @ (sK10 @ (big_q @ X50) @ X51)) | ($false = rel_s4 @ (sK10 @ (big_q @ X50) @ X51) @ X52) | ($false = exists_in_world @ X50 @ (sK10 @ (big_q @ X50) @ X51))) [avatar definition] 126.57/124.68 2503. ($false = exists_in_world @ X50 @ (sK10 @ (big_q @ X50) @ X51)) | ($true != X51 @ (sK10 @ (big_q @ X50) @ X51)) | ($true = big_r @ X50 @ X52) | ($false = rel_s4 @ sK13 @ (sK10 @ (big_q @ X50) @ X51)) | ($false = rel_s4 @ (sK10 @ (big_q @ X50) @ X51) @ X52) | big_q @ X50 = X51 <- {160} [avatar component clause 2502] 126.57/124.68 2504. 160 | 0 | ~6 [avatar split clause 2484,368,315,2502] 126.57/124.68 2506. 162 <=> ! [X53,X55 : ($i > $o),X56,X54 : mu,X57] : (big_q @ X54 = X55 | ($false = rel_s4 @ X57 @ (sK10 @ (big_q @ X54) @ X55)) | ($false = rel_s4 @ X53 @ X57) | ($true != X55 @ (sK10 @ (big_q @ X54) @ X55)) | ($true = big_r @ X54 @ X56) | ($false = rel_s4 @ sK13 @ X53) | ($false = rel_s4 @ X53 @ X56) | ($false = exists_in_world @ X54 @ X53)) [avatar definition] 126.57/124.68 2507. ($false = rel_s4 @ X57 @ (sK10 @ (big_q @ X54) @ X55)) | big_q @ X54 = X55 | ($false = rel_s4 @ X53 @ X57) | ($true != X55 @ (sK10 @ (big_q @ X54) @ X55)) | ($true = big_r @ X54 @ X56) | ($false = rel_s4 @ sK13 @ X53) | ($false = rel_s4 @ X53 @ X56) | ($false = exists_in_world @ X54 @ X53) <- {162} [avatar component clause 2506] 126.57/124.68 2508. 162 | 0 | ~6 [avatar split clause 2485,368,315,2506] 126.57/124.68 2509. 160 | 0 | ~6 [avatar split clause 2491,368,315,2502] 126.57/124.68 2510. 162 | 0 | ~6 [avatar split clause 2492,368,315,2506] 126.57/124.68 2511. ($false = $true) | ($false != big_q @ X39 @ (sK10 @ X38 @ (big_q @ X39))) | ($false = exists_in_world @ X39 @ (sK10 @ X38 @ (big_q @ X39))) | ($false = rel_s4 @ (sK10 @ X38 @ (big_q @ X39)) @ X40) | ($false = rel_s4 @ sK13 @ (sK10 @ X38 @ (big_q @ X39))) | ($true = big_r @ X39 @ X40) | big_q @ X39 = X38 <- {6} [superposition 1376,258] 126.57/124.68 2512. ($false = $true) | ($false != big_q @ X43 @ (sK10 @ X42 @ (big_q @ X43))) | ($false = exists_in_world @ X43 @ X41) | ($false = rel_s4 @ X41 @ X44) | ($false = rel_s4 @ sK13 @ X41) | ($true = big_r @ X43 @ X44) | big_q @ X43 = X42 | ($false = rel_s4 @ X41 @ X45) | ($false = rel_s4 @ X45 @ (sK10 @ X42 @ (big_q @ X43))) <- {6} [superposition 1376,253] 126.57/124.68 2514. ($false != big_q @ X40 @ (sK10 @ (rel_s4 @ X39) @ (big_q @ X40))) | rel_s4 @ X39 = big_q @ X40 | ($false != big_q @ X40 @ (sK10 @ (rel_s4 @ X39) @ (big_q @ X40))) | ($false = exists_in_world @ X40 @ X39) | ($false = rel_s4 @ X39 @ X41) | ($false = rel_s4 @ sK13 @ X39) | ($true = big_r @ X40 @ X41) | rel_s4 @ X39 = big_q @ X40 <- {6} [superposition 171,1376] 126.57/124.68 2515. ($false = $true) | ($false != big_q @ X43 @ (sK10 @ X42 @ (big_q @ X43))) | ($false = exists_in_world @ X43 @ (sK10 @ X42 @ (big_q @ X43))) | ($false = rel_s4 @ (sK10 @ X42 @ (big_q @ X43)) @ X44) | ($false = rel_s4 @ sK13 @ (sK10 @ X42 @ (big_q @ X43))) | ($true = big_r @ X43 @ X44) | big_q @ X43 = X42 <- {6} [superposition 258,1376] 126.57/124.68 2516. ($false = $true) | ($false = rel_s4 @ X45 @ X48) | ($false = rel_s4 @ X48 @ (sK10 @ X46 @ (big_q @ X47))) | ($false != big_q @ X47 @ (sK10 @ X46 @ (big_q @ X47))) | ($false = exists_in_world @ X47 @ X45) | ($false = rel_s4 @ X45 @ X49) | ($false = rel_s4 @ sK13 @ X45) | ($true = big_r @ X47 @ X49) | big_q @ X47 = X46 <- {6} [superposition 253,1376] 126.57/124.68 2519. ($false != big_q @ X40 @ (sK10 @ (rel_s4 @ X39) @ (big_q @ X40))) | rel_s4 @ X39 = big_q @ X40 | ($false = exists_in_world @ X40 @ X39) | ($false = rel_s4 @ X39 @ X41) | ($false = rel_s4 @ sK13 @ X39) | ($true = big_r @ X40 @ X41) <- {6} [duplicate literal removal 2514] 126.57/124.68 2522. 164 <=> ! [X40,X38 : ($i > $o),X39 : mu] : (($false != big_q @ X39 @ (sK10 @ X38 @ (big_q @ X39))) | big_q @ X39 = X38 | ($true = big_r @ X39 @ X40) | ($false = rel_s4 @ sK13 @ (sK10 @ X38 @ (big_q @ X39))) | ($false = rel_s4 @ (sK10 @ X38 @ (big_q @ X39)) @ X40) | ($false = exists_in_world @ X39 @ (sK10 @ X38 @ (big_q @ X39)))) [avatar definition] 126.57/124.68 2523. ($false = exists_in_world @ X39 @ (sK10 @ X38 @ (big_q @ X39))) | big_q @ X39 = X38 | ($true = big_r @ X39 @ X40) | ($false = rel_s4 @ sK13 @ (sK10 @ X38 @ (big_q @ X39))) | ($false = rel_s4 @ (sK10 @ X38 @ (big_q @ X39)) @ X40) | ($false != big_q @ X39 @ (sK10 @ X38 @ (big_q @ X39))) <- {164} [avatar component clause 2522] 126.57/124.68 2524. 164 | 0 | ~6 [avatar split clause 2511,368,315,2522] 126.57/124.68 2526. 166 <=> ! [X42 : ($i > $o),X44,X41,X43 : mu,X45] : (($false != big_q @ X43 @ (sK10 @ X42 @ (big_q @ X43))) | ($false = rel_s4 @ X45 @ (sK10 @ X42 @ (big_q @ X43))) | ($false = rel_s4 @ X41 @ X45) | big_q @ X43 = X42 | ($true = big_r @ X43 @ X44) | ($false = rel_s4 @ sK13 @ X41) | ($false = rel_s4 @ X41 @ X44) | ($false = exists_in_world @ X43 @ X41)) [avatar definition] 126.57/124.68 2527. ($false = rel_s4 @ X45 @ (sK10 @ X42 @ (big_q @ X43))) | ($false != big_q @ X43 @ (sK10 @ X42 @ (big_q @ X43))) | ($false = rel_s4 @ X41 @ X45) | big_q @ X43 = X42 | ($true = big_r @ X43 @ X44) | ($false = rel_s4 @ sK13 @ X41) | ($false = rel_s4 @ X41 @ X44) | ($false = exists_in_world @ X43 @ X41) <- {166} [avatar component clause 2526] 126.57/124.68 2528. 166 | 0 | ~6 [avatar split clause 2512,368,315,2526] 126.57/124.68 2529. 164 | 0 | ~6 [avatar split clause 2515,368,315,2522] 126.57/124.68 2530. 166 | 0 | ~6 [avatar split clause 2516,368,315,2526] 126.57/124.68 2535. ($true = exists_in_world @ sK21 @ sK23) <- {58, 92} [unit resulting resolution 1328,2125,206] 126.57/124.68 2536. ($true = exists_in_world @ (sK11 @ sK13) @ sK23) <- {46, 92} [unit resulting resolution 1110,2125,206] 126.57/124.68 2537. ($true = exists_in_world @ (sK11 @ sK12) @ sK23) <- {48, 92} [unit resulting resolution 1117,2125,206] 126.57/124.68 2538. ($true = exists_in_world @ (sK11 @ sK18) @ sK23) <- {92} [unit resulting resolution 205,2125,206] 126.57/124.68 2544. 168 <=> ($true = exists_in_world @ (sK11 @ sK18) @ sK23) [avatar definition] 126.57/124.68 2546. 168 | ~92 [avatar split clause 2538,2124,2544] 126.57/124.68 2551. 170 <=> ($true = exists_in_world @ (sK11 @ sK12) @ sK23) [avatar definition] 126.57/124.68 2553. 170 | ~48 | ~92 [avatar split clause 2537,2124,1116,2551] 126.57/124.68 2558. 172 <=> ($true = exists_in_world @ (sK11 @ sK13) @ sK23) [avatar definition] 126.57/124.68 2560. 172 | ~46 | ~92 [avatar split clause 2536,2124,1109,2558] 126.57/124.68 2565. 174 <=> ($true = exists_in_world @ sK21 @ sK23) [avatar definition] 126.57/124.68 2566. ($true = exists_in_world @ sK21 @ sK23) <- {174} [avatar component clause 2565] 126.57/124.68 2567. 174 | ~58 | ~92 [avatar split clause 2535,2124,1327,2565] 126.57/124.68 2568. ($false = $true) | ($false != big_r @ X26 @ (sK10 @ (big_r @ X26) @ (rel_s4 @ X27))) | ($false = exists_in_world @ X26 @ (sK10 @ (big_r @ X26) @ (rel_s4 @ X27))) | rel_s4 @ X27 = big_r @ X26 | ($false = rel_s4 @ sK13 @ (sK10 @ (big_r @ X26) @ (rel_s4 @ X27))) | ($false = rel_s4 @ (sK10 @ (big_r @ X26) @ (rel_s4 @ X27)) @ X28) | ($true = p @ X28) <- {6} [superposition 1359,258] 126.57/124.68 2569. ($false = $true) | ($false != big_r @ X30 @ (sK10 @ (big_r @ X30) @ (rel_s4 @ X31))) | ($false = exists_in_world @ X30 @ X29) | rel_s4 @ X31 = big_r @ X30 | ($false = rel_s4 @ sK13 @ X29) | ($false = rel_s4 @ X29 @ X32) | ($true = p @ X32) | ($false = rel_s4 @ X29 @ X33) | ($false = rel_s4 @ X33 @ (sK10 @ (big_r @ X30) @ (rel_s4 @ X31))) <- {6} [superposition 1359,253] 126.57/124.68 2573. ($false = $true) | ($false != big_r @ X32 @ (sK10 @ (big_r @ X32) @ (rel_s4 @ X33))) | ($false = exists_in_world @ X32 @ (sK10 @ (big_r @ X32) @ (rel_s4 @ X33))) | rel_s4 @ X33 = big_r @ X32 | ($false = rel_s4 @ sK13 @ (sK10 @ (big_r @ X32) @ (rel_s4 @ X33))) | ($false = rel_s4 @ (sK10 @ (big_r @ X32) @ (rel_s4 @ X33)) @ X34) | ($true = p @ X34) <- {6} [superposition 258,1359] 126.57/124.68 2574. ($false = $true) | ($false = rel_s4 @ X35 @ X38) | ($false = rel_s4 @ X38 @ (sK10 @ (big_r @ X36) @ (rel_s4 @ X37))) | ($false != big_r @ X36 @ (sK10 @ (big_r @ X36) @ (rel_s4 @ X37))) | ($false = exists_in_world @ X36 @ X35) | rel_s4 @ X37 = big_r @ X36 | ($false = rel_s4 @ sK13 @ X35) | ($false = rel_s4 @ X35 @ X39) | ($true = p @ X39) <- {6} [superposition 253,1359] 126.57/124.68 2575. ($false != $false) | ($false != big_r @ X1 @ (sK10 @ (big_r @ X1) @ (rel_s4 @ X2))) | ($false = exists_in_world @ X1 @ X0) | rel_s4 @ X2 = big_r @ X1 | ($false = rel_s4 @ sK13 @ X0) | ($false = rel_s4 @ X0 @ (sK10 @ (big_r @ X1) @ (rel_s4 @ X2))) | ($true = p @ (sK10 @ (big_r @ X1) @ (rel_s4 @ X2))) <- {6} [equality factoring 1359] 126.57/124.68 2576. ($false = rel_s4 @ X0 @ (sK10 @ (big_r @ X1) @ (rel_s4 @ X2))) | ($false = exists_in_world @ X1 @ X0) | rel_s4 @ X2 = big_r @ X1 | ($false = rel_s4 @ sK13 @ X0) | ($false != big_r @ X1 @ (sK10 @ (big_r @ X1) @ (rel_s4 @ X2))) | ($true = p @ (sK10 @ (big_r @ X1) @ (rel_s4 @ X2))) <- {6} [trivial inequality removal 2575] 126.57/124.68 2582. 176 <=> ! [X27,X26 : mu,X28] : (($false != big_r @ X26 @ (sK10 @ (big_r @ X26) @ (rel_s4 @ X27))) | ($true = p @ X28) | ($false = rel_s4 @ (sK10 @ (big_r @ X26) @ (rel_s4 @ X27)) @ X28) | ($false = rel_s4 @ sK13 @ (sK10 @ (big_r @ X26) @ (rel_s4 @ X27))) | rel_s4 @ X27 = big_r @ X26 | ($false = exists_in_world @ X26 @ (sK10 @ (big_r @ X26) @ (rel_s4 @ X27)))) [avatar definition] 126.57/124.68 2583. ($false = exists_in_world @ X26 @ (sK10 @ (big_r @ X26) @ (rel_s4 @ X27))) | ($true = p @ X28) | ($false = rel_s4 @ (sK10 @ (big_r @ X26) @ (rel_s4 @ X27)) @ X28) | ($false = rel_s4 @ sK13 @ (sK10 @ (big_r @ X26) @ (rel_s4 @ X27))) | rel_s4 @ X27 = big_r @ X26 | ($false != big_r @ X26 @ (sK10 @ (big_r @ X26) @ (rel_s4 @ X27))) <- {176} [avatar component clause 2582] 126.57/124.68 2584. 176 | 0 | ~6 [avatar split clause 2568,368,315,2582] 126.57/124.68 2586. 178 <=> ! [X32,X29,X31,X33,X30 : mu] : (($false != big_r @ X30 @ (sK10 @ (big_r @ X30) @ (rel_s4 @ X31))) | ($false = rel_s4 @ X33 @ (sK10 @ (big_r @ X30) @ (rel_s4 @ X31))) | ($false = rel_s4 @ X29 @ X33) | ($true = p @ X32) | ($false = rel_s4 @ X29 @ X32) | ($false = rel_s4 @ sK13 @ X29) | rel_s4 @ X31 = big_r @ X30 | ($false = exists_in_world @ X30 @ X29)) [avatar definition] 126.57/124.68 2587. ($false = rel_s4 @ X33 @ (sK10 @ (big_r @ X30) @ (rel_s4 @ X31))) | ($false != big_r @ X30 @ (sK10 @ (big_r @ X30) @ (rel_s4 @ X31))) | ($false = rel_s4 @ X29 @ X33) | ($true = p @ X32) | ($false = rel_s4 @ X29 @ X32) | ($false = rel_s4 @ sK13 @ X29) | rel_s4 @ X31 = big_r @ X30 | ($false = exists_in_world @ X30 @ X29) <- {178} [avatar component clause 2586] 126.57/124.68 2588. 178 | 0 | ~6 [avatar split clause 2569,368,315,2586] 126.57/124.68 2589. 176 | 0 | ~6 [avatar split clause 2573,368,315,2582] 126.57/124.68 2590. 178 | 0 | ~6 [avatar split clause 2574,368,315,2586] 126.57/124.68 2591. ($false = $true) | ($false != big_r @ X24 @ (sK10 @ (big_r @ X24) @ (exists_in_world @ X25))) | ($false = exists_in_world @ X24 @ (sK10 @ (big_r @ X24) @ (exists_in_world @ X25))) | exists_in_world @ X25 = big_r @ X24 | ($false = rel_s4 @ sK13 @ (sK10 @ (big_r @ X24) @ (exists_in_world @ X25))) | ($false = rel_s4 @ (sK10 @ (big_r @ X24) @ (exists_in_world @ X25)) @ X26) | ($true = p @ X26) <- {6} [superposition 1450,258] 126.57/124.68 2592. ($false = $true) | ($false != big_r @ X28 @ (sK10 @ (big_r @ X28) @ (exists_in_world @ X29))) | ($false = exists_in_world @ X28 @ X27) | exists_in_world @ X29 = big_r @ X28 | ($false = rel_s4 @ sK13 @ X27) | ($false = rel_s4 @ X27 @ X30) | ($true = p @ X30) | ($false = rel_s4 @ X27 @ X31) | ($false = rel_s4 @ X31 @ (sK10 @ (big_r @ X28) @ (exists_in_world @ X29))) <- {6} [superposition 1450,253] 126.57/124.68 2595. ($false = $true) | ($false != big_r @ X29 @ (sK10 @ (big_r @ X29) @ (exists_in_world @ X30))) | ($false = exists_in_world @ X29 @ (sK10 @ (big_r @ X29) @ (exists_in_world @ X30))) | exists_in_world @ X30 = big_r @ X29 | ($false = rel_s4 @ sK13 @ (sK10 @ (big_r @ X29) @ (exists_in_world @ X30))) | ($false = rel_s4 @ (sK10 @ (big_r @ X29) @ (exists_in_world @ X30)) @ X31) | ($true = p @ X31) <- {6} [superposition 258,1450] 126.57/124.68 2596. ($false = $true) | ($false = rel_s4 @ X32 @ X35) | ($false = rel_s4 @ X35 @ (sK10 @ (big_r @ X33) @ (exists_in_world @ X34))) | ($false != big_r @ X33 @ (sK10 @ (big_r @ X33) @ (exists_in_world @ X34))) | ($false = exists_in_world @ X33 @ X32) | exists_in_world @ X34 = big_r @ X33 | ($false = rel_s4 @ sK13 @ X32) | ($false = rel_s4 @ X32 @ X36) | ($true = p @ X36) <- {6} [superposition 253,1450] 126.57/124.68 2597. ($false != $false) | ($false != big_r @ X1 @ (sK10 @ (big_r @ X1) @ (exists_in_world @ X2))) | ($false = exists_in_world @ X1 @ X0) | exists_in_world @ X2 = big_r @ X1 | ($false = rel_s4 @ sK13 @ X0) | ($false = rel_s4 @ X0 @ (sK10 @ (big_r @ X1) @ (exists_in_world @ X2))) | ($true = p @ (sK10 @ (big_r @ X1) @ (exists_in_world @ X2))) <- {6} [equality factoring 1450] 126.57/124.68 2598. ($false = rel_s4 @ X0 @ (sK10 @ (big_r @ X1) @ (exists_in_world @ X2))) | ($false = exists_in_world @ X1 @ X0) | exists_in_world @ X2 = big_r @ X1 | ($false = rel_s4 @ sK13 @ X0) | ($false != big_r @ X1 @ (sK10 @ (big_r @ X1) @ (exists_in_world @ X2))) | ($true = p @ (sK10 @ (big_r @ X1) @ (exists_in_world @ X2))) <- {6} [trivial inequality removal 2597] 126.57/124.68 2602. 180 <=> ! [X25 : mu,X24 : mu,X26] : (($false != big_r @ X24 @ (sK10 @ (big_r @ X24) @ (exists_in_world @ X25))) | ($true = p @ X26) | ($false = rel_s4 @ (sK10 @ (big_r @ X24) @ (exists_in_world @ X25)) @ X26) | ($false = rel_s4 @ sK13 @ (sK10 @ (big_r @ X24) @ (exists_in_world @ X25))) | exists_in_world @ X25 = big_r @ X24 | ($false = exists_in_world @ X24 @ (sK10 @ (big_r @ X24) @ (exists_in_world @ X25)))) [avatar definition] 126.57/124.68 2603. ($false = exists_in_world @ X24 @ (sK10 @ (big_r @ X24) @ (exists_in_world @ X25))) | ($true = p @ X26) | ($false = rel_s4 @ (sK10 @ (big_r @ X24) @ (exists_in_world @ X25)) @ X26) | ($false = rel_s4 @ sK13 @ (sK10 @ (big_r @ X24) @ (exists_in_world @ X25))) | exists_in_world @ X25 = big_r @ X24 | ($false != big_r @ X24 @ (sK10 @ (big_r @ X24) @ (exists_in_world @ X25))) <- {180} [avatar component clause 2602] 126.57/124.68 2604. 180 | 0 | ~6 [avatar split clause 2591,368,315,2602] 126.57/124.68 2606. 182 <=> ! [X27,X29 : mu,X31,X28 : mu,X30] : (($false != big_r @ X28 @ (sK10 @ (big_r @ X28) @ (exists_in_world @ X29))) | ($false = rel_s4 @ X31 @ (sK10 @ (big_r @ X28) @ (exists_in_world @ X29))) | ($false = rel_s4 @ X27 @ X31) | ($true = p @ X30) | ($false = rel_s4 @ X27 @ X30) | ($false = rel_s4 @ sK13 @ X27) | exists_in_world @ X29 = big_r @ X28 | ($false = exists_in_world @ X28 @ X27)) [avatar definition] 126.57/124.68 2607. ($false = rel_s4 @ X31 @ (sK10 @ (big_r @ X28) @ (exists_in_world @ X29))) | ($false != big_r @ X28 @ (sK10 @ (big_r @ X28) @ (exists_in_world @ X29))) | ($false = rel_s4 @ X27 @ X31) | ($true = p @ X30) | ($false = rel_s4 @ X27 @ X30) | ($false = rel_s4 @ sK13 @ X27) | exists_in_world @ X29 = big_r @ X28 | ($false = exists_in_world @ X28 @ X27) <- {182} [avatar component clause 2606] 126.57/124.68 2608. 182 | 0 | ~6 [avatar split clause 2592,368,315,2606] 126.57/124.68 2609. 180 | 0 | ~6 [avatar split clause 2595,368,315,2602] 126.57/124.68 2610. 182 | 0 | ~6 [avatar split clause 2596,368,315,2606] 126.57/124.68 2614. ($false = $true) | ($false != big_q @ X26 @ (sK10 @ (big_q @ X26) @ (rel_s4 @ X27))) | ($false = exists_in_world @ X26 @ (sK10 @ (big_q @ X26) @ (rel_s4 @ X27))) | ($false = rel_s4 @ (sK10 @ (big_q @ X26) @ (rel_s4 @ X27)) @ X28) | ($false = rel_s4 @ sK13 @ (sK10 @ (big_q @ X26) @ (rel_s4 @ X27))) | ($true = big_r @ X26 @ X28) | rel_s4 @ X27 = big_q @ X26 <- {6} [superposition 1375,258] 126.57/124.68 2615. ($false = $true) | ($false != big_q @ X30 @ (sK10 @ (big_q @ X30) @ (rel_s4 @ X31))) | ($false = exists_in_world @ X30 @ X29) | ($false = rel_s4 @ X29 @ X32) | ($false = rel_s4 @ sK13 @ X29) | ($true = big_r @ X30 @ X32) | rel_s4 @ X31 = big_q @ X30 | ($false = rel_s4 @ X29 @ X33) | ($false = rel_s4 @ X33 @ (sK10 @ (big_q @ X30) @ (rel_s4 @ X31))) <- {6} [superposition 1375,253] 126.57/124.68 2616. ($false != $false) | rel_s4 @ X21 = big_q @ X22 | ($false != big_q @ X22 @ (sK10 @ (big_q @ X22) @ (rel_s4 @ X21))) | ($false != big_q @ X22 @ (sK10 @ (big_q @ X22) @ (rel_s4 @ X21))) | ($false = exists_in_world @ X22 @ X21) | ($false = rel_s4 @ X21 @ X23) | ($false = rel_s4 @ sK13 @ X21) | ($true = big_r @ X22 @ X23) | rel_s4 @ X21 = big_q @ X22 <- {6} [superposition 990,1375] 126.57/124.68 2619. ($false = $true) | ($false != big_q @ X32 @ (sK10 @ (big_q @ X32) @ (rel_s4 @ X33))) | ($false = exists_in_world @ X32 @ (sK10 @ (big_q @ X32) @ (rel_s4 @ X33))) | ($false = rel_s4 @ (sK10 @ (big_q @ X32) @ (rel_s4 @ X33)) @ X34) | ($false = rel_s4 @ sK13 @ (sK10 @ (big_q @ X32) @ (rel_s4 @ X33))) | ($true = big_r @ X32 @ X34) | rel_s4 @ X33 = big_q @ X32 <- {6} [superposition 258,1375] 126.57/124.68 2620. ($false = $true) | ($false = rel_s4 @ X35 @ X38) | ($false = rel_s4 @ X38 @ (sK10 @ (big_q @ X36) @ (rel_s4 @ X37))) | ($false != big_q @ X36 @ (sK10 @ (big_q @ X36) @ (rel_s4 @ X37))) | ($false = exists_in_world @ X36 @ X35) | ($false = rel_s4 @ X35 @ X39) | ($false = rel_s4 @ sK13 @ X35) | ($true = big_r @ X36 @ X39) | rel_s4 @ X37 = big_q @ X36 <- {6} [superposition 253,1375] 126.57/124.68 2625. ($false != $false) | rel_s4 @ X21 = big_q @ X22 | ($false != big_q @ X22 @ (sK10 @ (big_q @ X22) @ (rel_s4 @ X21))) | ($false = exists_in_world @ X22 @ X21) | ($false = rel_s4 @ X21 @ X23) | ($false = rel_s4 @ sK13 @ X21) | ($true = big_r @ X22 @ X23) <- {6} [duplicate literal removal 2616] 126.57/124.68 2626. ($false != big_q @ X22 @ (sK10 @ (big_q @ X22) @ (rel_s4 @ X21))) | rel_s4 @ X21 = big_q @ X22 | ($false = exists_in_world @ X22 @ X21) | ($false = rel_s4 @ X21 @ X23) | ($false = rel_s4 @ sK13 @ X21) | ($true = big_r @ X22 @ X23) <- {6} [trivial inequality removal 2625] 126.57/124.68 2628. 184 <=> ! [X27,X26 : mu,X28] : (($false != big_q @ X26 @ (sK10 @ (big_q @ X26) @ (rel_s4 @ X27))) | rel_s4 @ X27 = big_q @ X26 | ($true = big_r @ X26 @ X28) | ($false = rel_s4 @ sK13 @ (sK10 @ (big_q @ X26) @ (rel_s4 @ X27))) | ($false = rel_s4 @ (sK10 @ (big_q @ X26) @ (rel_s4 @ X27)) @ X28) | ($false = exists_in_world @ X26 @ (sK10 @ (big_q @ X26) @ (rel_s4 @ X27)))) [avatar definition] 126.57/124.68 2629. ($false = exists_in_world @ X26 @ (sK10 @ (big_q @ X26) @ (rel_s4 @ X27))) | rel_s4 @ X27 = big_q @ X26 | ($true = big_r @ X26 @ X28) | ($false = rel_s4 @ sK13 @ (sK10 @ (big_q @ X26) @ (rel_s4 @ X27))) | ($false = rel_s4 @ (sK10 @ (big_q @ X26) @ (rel_s4 @ X27)) @ X28) | ($false != big_q @ X26 @ (sK10 @ (big_q @ X26) @ (rel_s4 @ X27))) <- {184} [avatar component clause 2628] 126.57/124.68 2630. 184 | 0 | ~6 [avatar split clause 2614,368,315,2628] 126.57/124.68 2632. 186 <=> ! [X32,X29,X31,X33,X30 : mu] : (($false != big_q @ X30 @ (sK10 @ (big_q @ X30) @ (rel_s4 @ X31))) | ($false = rel_s4 @ X33 @ (sK10 @ (big_q @ X30) @ (rel_s4 @ X31))) | ($false = rel_s4 @ X29 @ X33) | rel_s4 @ X31 = big_q @ X30 | ($true = big_r @ X30 @ X32) | ($false = rel_s4 @ sK13 @ X29) | ($false = rel_s4 @ X29 @ X32) | ($false = exists_in_world @ X30 @ X29)) [avatar definition] 126.57/124.68 2633. ($false = rel_s4 @ X33 @ (sK10 @ (big_q @ X30) @ (rel_s4 @ X31))) | ($false != big_q @ X30 @ (sK10 @ (big_q @ X30) @ (rel_s4 @ X31))) | ($false = rel_s4 @ X29 @ X33) | rel_s4 @ X31 = big_q @ X30 | ($true = big_r @ X30 @ X32) | ($false = rel_s4 @ sK13 @ X29) | ($false = rel_s4 @ X29 @ X32) | ($false = exists_in_world @ X30 @ X29) <- {186} [avatar component clause 2632] 126.57/124.68 2634. 186 | 0 | ~6 [avatar split clause 2615,368,315,2632] 126.57/124.68 2635. 184 | 0 | ~6 [avatar split clause 2619,368,315,2628] 126.57/124.68 2636. 186 | 0 | ~6 [avatar split clause 2620,368,315,2632] 126.57/124.68 2637. ($false = $true) | ($false != big_q @ X24 @ (sK10 @ (big_q @ X24) @ (exists_in_world @ X25))) | ($false = exists_in_world @ X24 @ (sK10 @ (big_q @ X24) @ (exists_in_world @ X25))) | ($false = rel_s4 @ (sK10 @ (big_q @ X24) @ (exists_in_world @ X25)) @ X26) | ($false = rel_s4 @ sK13 @ (sK10 @ (big_q @ X24) @ (exists_in_world @ X25))) | ($true = big_r @ X24 @ X26) | exists_in_world @ X25 = big_q @ X24 <- {6} [superposition 1449,258] 126.57/124.68 2638. ($false = $true) | ($false != big_q @ X28 @ (sK10 @ (big_q @ X28) @ (exists_in_world @ X29))) | ($false = exists_in_world @ X28 @ X27) | ($false = rel_s4 @ X27 @ X30) | ($false = rel_s4 @ sK13 @ X27) | ($true = big_r @ X28 @ X30) | exists_in_world @ X29 = big_q @ X28 | ($false = rel_s4 @ X27 @ X31) | ($false = rel_s4 @ X31 @ (sK10 @ (big_q @ X28) @ (exists_in_world @ X29))) <- {6} [superposition 1449,253] 126.57/124.68 2641. ($false = $true) | ($false != big_q @ X29 @ (sK10 @ (big_q @ X29) @ (exists_in_world @ X30))) | ($false = exists_in_world @ X29 @ (sK10 @ (big_q @ X29) @ (exists_in_world @ X30))) | ($false = rel_s4 @ (sK10 @ (big_q @ X29) @ (exists_in_world @ X30)) @ X31) | ($false = rel_s4 @ sK13 @ (sK10 @ (big_q @ X29) @ (exists_in_world @ X30))) | ($true = big_r @ X29 @ X31) | exists_in_world @ X30 = big_q @ X29 <- {6} [superposition 258,1449] 126.57/124.68 2642. ($false = $true) | ($false = rel_s4 @ X32 @ X35) | ($false = rel_s4 @ X35 @ (sK10 @ (big_q @ X33) @ (exists_in_world @ X34))) | ($false != big_q @ X33 @ (sK10 @ (big_q @ X33) @ (exists_in_world @ X34))) | ($false = exists_in_world @ X33 @ X32) | ($false = rel_s4 @ X32 @ X36) | ($false = rel_s4 @ sK13 @ X32) | ($true = big_r @ X33 @ X36) | exists_in_world @ X34 = big_q @ X33 <- {6} [superposition 253,1449] 126.57/124.68 2648. 188 <=> ! [X25 : mu,X24 : mu,X26] : (($false != big_q @ X24 @ (sK10 @ (big_q @ X24) @ (exists_in_world @ X25))) | exists_in_world @ X25 = big_q @ X24 | ($true = big_r @ X24 @ X26) | ($false = rel_s4 @ sK13 @ (sK10 @ (big_q @ X24) @ (exists_in_world @ X25))) | ($false = rel_s4 @ (sK10 @ (big_q @ X24) @ (exists_in_world @ X25)) @ X26) | ($false = exists_in_world @ X24 @ (sK10 @ (big_q @ X24) @ (exists_in_world @ X25)))) [avatar definition] 126.57/124.68 2649. ($false = exists_in_world @ X24 @ (sK10 @ (big_q @ X24) @ (exists_in_world @ X25))) | exists_in_world @ X25 = big_q @ X24 | ($true = big_r @ X24 @ X26) | ($false = rel_s4 @ sK13 @ (sK10 @ (big_q @ X24) @ (exists_in_world @ X25))) | ($false = rel_s4 @ (sK10 @ (big_q @ X24) @ (exists_in_world @ X25)) @ X26) | ($false != big_q @ X24 @ (sK10 @ (big_q @ X24) @ (exists_in_world @ X25))) <- {188} [avatar component clause 2648] 126.57/124.68 2650. 188 | 0 | ~6 [avatar split clause 2637,368,315,2648] 126.57/124.68 2652. 190 <=> ! [X27,X29 : mu,X31,X28 : mu,X30] : (($false != big_q @ X28 @ (sK10 @ (big_q @ X28) @ (exists_in_world @ X29))) | ($false = rel_s4 @ X31 @ (sK10 @ (big_q @ X28) @ (exists_in_world @ X29))) | ($false = rel_s4 @ X27 @ X31) | exists_in_world @ X29 = big_q @ X28 | ($true = big_r @ X28 @ X30) | ($false = rel_s4 @ sK13 @ X27) | ($false = rel_s4 @ X27 @ X30) | ($false = exists_in_world @ X28 @ X27)) [avatar definition] 126.57/124.68 2653. ($false = rel_s4 @ X31 @ (sK10 @ (big_q @ X28) @ (exists_in_world @ X29))) | ($false != big_q @ X28 @ (sK10 @ (big_q @ X28) @ (exists_in_world @ X29))) | ($false = rel_s4 @ X27 @ X31) | exists_in_world @ X29 = big_q @ X28 | ($true = big_r @ X28 @ X30) | ($false = rel_s4 @ sK13 @ X27) | ($false = rel_s4 @ X27 @ X30) | ($false = exists_in_world @ X28 @ X27) <- {190} [avatar component clause 2652] 126.57/124.68 2654. 190 | 0 | ~6 [avatar split clause 2638,368,315,2652] 126.57/124.68 2655. 188 | 0 | ~6 [avatar split clause 2641,368,315,2648] 126.57/124.68 2656. 190 | 0 | ~6 [avatar split clause 2642,368,315,2652] 126.57/124.68 2657. ($true != $true) | ($false = rel_s4 @ X22 @ X23) | rel_s4 @ X22 = rel_s4 @ X23 | ($false = rel_s4 @ X23 @ (sK10 @ (rel_s4 @ X23) @ (rel_s4 @ X22))) [fool paramodulation 1472] 126.57/124.68 2687. ($false = rel_s4 @ X23 @ (sK10 @ (rel_s4 @ X23) @ (rel_s4 @ X22))) | rel_s4 @ X22 = rel_s4 @ X23 | ($false = rel_s4 @ X22 @ X23) [trivial inequality removal 2657] 126.57/124.68 2688. ($true != $true) | ($false = rel_s4 @ X23 @ X24) | rel_s4 @ X23 = rel_s4 @ X24 | ($false = rel_s4 @ X24 @ (sK10 @ (rel_s4 @ X23) @ (rel_s4 @ X24))) [fool paramodulation 1619] 126.57/124.68 2718. ($false = rel_s4 @ X24 @ (sK10 @ (rel_s4 @ X23) @ (rel_s4 @ X24))) | rel_s4 @ X23 = rel_s4 @ X24 | ($false = rel_s4 @ X23 @ X24) [trivial inequality removal 2688] 126.57/124.68 2820. ($false != X1 @ (sK0 @ vSIGMA_16 @ X0)) | vSIGMA_16 = X1 | vSIGMA_16 = X0 | ($true != X0 @ (sK0 @ vSIGMA_16 @ X0)) | ($true != X1 @ (sK0 @ vSIGMA_16 @ X1)) | vSIGMA_16 = X0 | ($true != X0 @ (sK0 @ vSIGMA_16 @ X0)) [superposition 1562,330] 126.57/124.68 2827. ($true != X1 @ (sK0 @ vSIGMA_16 @ X1)) | vSIGMA_16 = X1 | vSIGMA_16 = X0 | ($true != X0 @ (sK0 @ vSIGMA_16 @ X0)) | ($false != X1 @ (sK0 @ vSIGMA_16 @ X0)) [duplicate literal removal 2820] 126.57/124.68 2938. ($true = exists_in_world @ sK24 @ sK22) <- {74, 106} [unit resulting resolution 2057,2186,206] 126.57/124.68 2944. 192 <=> ($true = exists_in_world @ sK24 @ sK22) [avatar definition] 126.57/124.68 2945. ($true = exists_in_world @ sK24 @ sK22) <- {192} [avatar component clause 2944] 126.57/124.68 2946. 192 | ~74 | ~106 [avatar split clause 2938,2185,2056,2944] 126.57/124.68 3029. ($false != $false) | rel_s4 @ X43 = exists_in_world @ X44 | ($false != exists_in_world @ X44 @ (sK10 @ (exists_in_world @ X44) @ (rel_s4 @ X43))) | rel_s4 @ X43 = exists_in_world @ X44 | ($true != exists_in_world @ X44 @ X43) | ($false != exists_in_world @ X44 @ (sK10 @ (exists_in_world @ X44) @ (rel_s4 @ X43))) [superposition 990,1705] 126.57/124.68 3036. ($false != $false) | rel_s4 @ X43 = exists_in_world @ X44 | ($false != exists_in_world @ X44 @ (sK10 @ (exists_in_world @ X44) @ (rel_s4 @ X43))) | ($true != exists_in_world @ X44 @ X43) [duplicate literal removal 3029] 126.57/124.68 3037. ($false != exists_in_world @ X44 @ (sK10 @ (exists_in_world @ X44) @ (rel_s4 @ X43))) | rel_s4 @ X43 = exists_in_world @ X44 | ($true != exists_in_world @ X44 @ X43) [trivial inequality removal 3036] 126.57/124.68 3126. ($false != $false) | rel_s4 @ X49 = exists_in_world @ X50 | ($false != exists_in_world @ X50 @ (sK10 @ (exists_in_world @ X50) @ (rel_s4 @ X49))) | rel_s4 @ X49 = exists_in_world @ X50 | ($true != exists_in_world @ X50 @ X51) | ($false = rel_s4 @ X51 @ X49) | ($false != exists_in_world @ X50 @ (sK10 @ (exists_in_world @ X50) @ (rel_s4 @ X49))) [superposition 990,1695] 126.57/124.68 3135. ($false != $false) | rel_s4 @ X49 = exists_in_world @ X50 | ($false != exists_in_world @ X50 @ (sK10 @ (exists_in_world @ X50) @ (rel_s4 @ X49))) | ($true != exists_in_world @ X50 @ X51) | ($false = rel_s4 @ X51 @ X49) [duplicate literal removal 3126] 126.57/124.68 3136. ($false != exists_in_world @ X50 @ (sK10 @ (exists_in_world @ X50) @ (rel_s4 @ X49))) | rel_s4 @ X49 = exists_in_world @ X50 | ($true != exists_in_world @ X50 @ X51) | ($false = rel_s4 @ X51 @ X49) [trivial inequality removal 3135] 126.57/124.68 3143. ($true = exists_in_world @ sK25 @ sK23) <- {92, 114} [unit resulting resolution 2125,2217,206] 126.57/124.68 3149. 194 <=> ($true = exists_in_world @ sK25 @ sK23) [avatar definition] 126.57/124.68 3151. 194 | ~92 | ~114 [avatar split clause 3143,2216,2124,3149] 126.57/124.68 3187. ($false != rel_s4 @ X142 @ (sK10 @ (rel_s4 @ X141) @ (rel_s4 @ X142))) | rel_s4 @ X141 = rel_s4 @ X142 | rel_s4 @ X141 = rel_s4 @ X142 | ($false = rel_s4 @ X143 @ X144) | ($false != rel_s4 @ X142 @ (sK10 @ (rel_s4 @ X141) @ (rel_s4 @ X142))) | ($false = rel_s4 @ X144 @ X141) | ($false = rel_s4 @ X142 @ X143) [superposition 171,1739] 126.57/124.68 3200. ($false != rel_s4 @ X142 @ (sK10 @ (rel_s4 @ X141) @ (rel_s4 @ X142))) | rel_s4 @ X141 = rel_s4 @ X142 | ($false = rel_s4 @ X143 @ X144) | ($false = rel_s4 @ X144 @ X141) | ($false = rel_s4 @ X142 @ X143) [duplicate literal removal 3187] 126.57/124.68 3229. ($false != exists_in_world @ X90 @ (sK10 @ (rel_s4 @ X89) @ (exists_in_world @ X90))) | rel_s4 @ X89 = exists_in_world @ X90 | ($true != exists_in_world @ X90 @ X91) | ($false = rel_s4 @ X91 @ X92) | ($false != exists_in_world @ X90 @ (sK10 @ (rel_s4 @ X89) @ (exists_in_world @ X90))) | ($false = rel_s4 @ X92 @ X89) | rel_s4 @ X89 = exists_in_world @ X90 [superposition 171,1758] 126.57/124.68 3236. ($false != exists_in_world @ X90 @ (sK10 @ (rel_s4 @ X89) @ (exists_in_world @ X90))) | rel_s4 @ X89 = exists_in_world @ X90 | ($true != exists_in_world @ X90 @ X91) | ($false = rel_s4 @ X91 @ X92) | ($false = rel_s4 @ X92 @ X89) [duplicate literal removal 3229] 126.57/124.68 3244. ($true != $true) | ($false = rel_s4 @ X9 @ X10) | ($false = rel_s4 @ X11 @ X12) | ($false = rel_s4 @ X12 @ X13) | ($false = rel_s4 @ X10 @ X11) | ($false = rel_s4 @ X13 @ X9) | rel_s4 @ X9 = rel_s4 @ X10 | ($false = rel_s4 @ X9 @ (sK10 @ (rel_s4 @ X10) @ (rel_s4 @ X9))) [fool paramodulation 1882] 126.57/124.68 3276. ($false = rel_s4 @ X9 @ (sK10 @ (rel_s4 @ X10) @ (rel_s4 @ X9))) | ($false = rel_s4 @ X11 @ X12) | ($false = rel_s4 @ X12 @ X13) | ($false = rel_s4 @ X10 @ X11) | ($false = rel_s4 @ X13 @ X9) | rel_s4 @ X9 = rel_s4 @ X10 | ($false = rel_s4 @ X9 @ X10) [trivial inequality removal 3244] 126.57/124.68 3390. ($false = $true) <- {128} [superposition 2289,258] 126.57/124.68 3391. ($false = $true) | ($false = rel_s4 @ sK13 @ X0) | ($false = rel_s4 @ X0 @ sK13) <- {128} [superposition 2289,253] 126.57/124.68 3392. ($false = $true) <- {128} [superposition 258,2289] 126.57/124.68 3393. ($false = $true) | ($false = rel_s4 @ sK13 @ X0) | ($false = rel_s4 @ X0 @ sK13) <- {128} [superposition 253,2289] 126.57/124.68 3394. 0 | ~128 [avatar split clause 3390,2288,315] 126.57/124.68 3396. 196 <=> ! [X0] : (($false = rel_s4 @ sK13 @ X0) | ($false = rel_s4 @ X0 @ sK13)) [avatar definition] 126.57/124.68 3398. 196 | 0 | ~128 [avatar split clause 3391,2288,315,3396] 126.57/124.68 3399. 0 | ~128 [avatar split clause 3392,2288,315] 126.57/124.68 3400. 196 | 0 | ~128 [avatar split clause 3393,2288,315,3396] 126.57/124.68 3508. ($true != $true) | ($false != exists_in_world @ X105 @ (sK10 @ (exists_in_world @ X105) @ (rel_s4 @ X104))) | ($false = rel_s4 @ X106 @ X107) | ($false = rel_s4 @ X107 @ X108) | rel_s4 @ X104 = exists_in_world @ X105 | ($false = rel_s4 @ X108 @ X104) | ($true != exists_in_world @ X105 @ X106) | ($false = rel_s4 @ X104 @ X109) | ($false = rel_s4 @ X109 @ (sK10 @ (exists_in_world @ X105) @ (rel_s4 @ X104))) [superposition 1801,253] 126.57/124.68 3509. ($false = rel_s4 @ X109 @ (sK10 @ (exists_in_world @ X105) @ (rel_s4 @ X104))) | ($false = rel_s4 @ X106 @ X107) | ($false = rel_s4 @ X107 @ X108) | rel_s4 @ X104 = exists_in_world @ X105 | ($false = rel_s4 @ X108 @ X104) | ($true != exists_in_world @ X105 @ X106) | ($false = rel_s4 @ X104 @ X109) | ($false != exists_in_world @ X105 @ (sK10 @ (exists_in_world @ X105) @ (rel_s4 @ X104))) [trivial inequality removal 3508] 126.57/124.68 3582. ($true != $true) | ($false != rel_s4 @ X109 @ (sK10 @ (rel_s4 @ X109) @ (rel_s4 @ X108))) | ($false = rel_s4 @ X110 @ X111) | ($false = rel_s4 @ X111 @ X112) | ($false = rel_s4 @ X109 @ X110) | ($false = rel_s4 @ X112 @ X108) | rel_s4 @ X108 = rel_s4 @ X109 | ($false = rel_s4 @ X108 @ X113) | ($false = rel_s4 @ X113 @ (sK10 @ (rel_s4 @ X109) @ (rel_s4 @ X108))) [superposition 1877,253] 126.57/124.68 3583. ($false = rel_s4 @ X113 @ (sK10 @ (rel_s4 @ X109) @ (rel_s4 @ X108))) | ($false = rel_s4 @ X110 @ X111) | ($false = rel_s4 @ X111 @ X112) | ($false = rel_s4 @ X109 @ X110) | ($false = rel_s4 @ X112 @ X108) | rel_s4 @ X108 = rel_s4 @ X109 | ($false = rel_s4 @ X108 @ X113) | ($false != rel_s4 @ X109 @ (sK10 @ (rel_s4 @ X109) @ (rel_s4 @ X108))) [trivial inequality removal 3582] 126.57/124.68 3635. ($false != $false) | rel_s4 @ X99 = rel_s4 @ X100 | ($false != rel_s4 @ X100 @ (sK10 @ (rel_s4 @ X100) @ (rel_s4 @ X99))) | ($false != rel_s4 @ X100 @ (sK10 @ (rel_s4 @ X100) @ (rel_s4 @ X99))) | ($false = rel_s4 @ X101 @ X102) | ($false = rel_s4 @ X102 @ X99) | ($false = rel_s4 @ X100 @ X101) | ($false = rel_s4 @ X99 @ X99) | rel_s4 @ X99 = rel_s4 @ X100 [superposition 990,1982] 126.57/124.68 3649. ($false != $false) | rel_s4 @ X99 = rel_s4 @ X100 | ($false != rel_s4 @ X100 @ (sK10 @ (rel_s4 @ X100) @ (rel_s4 @ X99))) | ($false = rel_s4 @ X101 @ X102) | ($false = rel_s4 @ X102 @ X99) | ($false = rel_s4 @ X100 @ X101) | ($false = rel_s4 @ X99 @ X99) [duplicate literal removal 3635] 126.57/124.68 3650. ($false != rel_s4 @ X100 @ (sK10 @ (rel_s4 @ X100) @ (rel_s4 @ X99))) | rel_s4 @ X99 = rel_s4 @ X100 | ($false = rel_s4 @ X101 @ X102) | ($false = rel_s4 @ X102 @ X99) | ($false = rel_s4 @ X100 @ X101) | ($false = rel_s4 @ X99 @ X99) [trivial inequality removal 3649] 126.57/124.68 3686. ($false = p @ (sK17 @ sK13)) <- {129, 130} [unit resulting resolution 2286,2292] 126.57/124.68 3687. ($false = $true) | ($false = p @ (sK17 @ sK13)) <- {130} [superposition 2292,258] 126.57/124.68 3688. ($false = $true) | ($false = p @ (sK17 @ X1)) | ($false = rel_s4 @ sK13 @ X2) | ($false = rel_s4 @ X2 @ X1) <- {130} [superposition 2292,253] 126.57/124.68 3689. ($false = $true) | ($false = p @ (sK17 @ (sK17 @ sK13))) | ($false = exists_in_world @ X91 @ X92) | ($false = rel_s4 @ X92 @ sK13) | ($false = rel_s4 @ sK13 @ X92) | ($false = rel_s4 @ X92 @ X93) | ($true = big_q @ X91 @ X93) <- {6, 130} [superposition 2292,1389] 126.57/124.68 3690. ($false = $true) | ($false = p @ (sK17 @ (sK17 @ sK13))) | ($false = exists_in_world @ X94 @ X95) | ($false = rel_s4 @ X95 @ sK13) | ($false = rel_s4 @ sK13 @ X95) | ($false = rel_s4 @ X95 @ X96) | ($true = p @ X96) <- {6, 130} [superposition 2292,1385] 126.57/124.68 3691. ($false = $true) | ($false = p @ (sK17 @ sK18)) <- {34, 130} [superposition 2292,839] 126.57/124.68 3692. ($false = $true) | ($false = p @ (sK17 @ sK19)) <- {26, 130} [superposition 2292,799] 126.57/124.68 3693. ($false = $true) | ($false = p @ (sK17 @ sK13)) <- {130} [superposition 258,2292] 126.57/124.68 3694. ($false = $true) | ($false = rel_s4 @ sK13 @ X1) | ($false = rel_s4 @ X1 @ X0) | ($false = p @ (sK17 @ X0)) <- {130} [superposition 253,2292] 126.57/124.68 3703. ($false != $false) | rel_s4 @ sK13 = rel_s4 @ X99 | ($false = rel_s4 @ sK13 @ X99) | ($false = p @ (sK17 @ (sK10 @ (rel_s4 @ X99) @ (rel_s4 @ sK13)))) <- {130} [superposition 981,2292] 126.57/124.68 3711. ($false != $false) | rel_s4 @ sK13 = rel_s4 @ X127 | ($false = rel_s4 @ sK13 @ X127) | ($false = p @ (sK17 @ (sK10 @ (rel_s4 @ sK13) @ (rel_s4 @ X127)))) <- {130} [superposition 1674,2292] 126.57/124.68 3719. ($false != $false) | rel_s4 @ sK13 = sK0 @ vSIGMA_16 @ X142 | vSIGMA_16 = X142 | ($true != X142 @ (sK0 @ vSIGMA_16 @ X142)) | vSIGMA_16 = X141 | ($true != X141 @ (sK0 @ vSIGMA_16 @ X141)) | ($false = p @ (sK17 @ (sK10 @ (rel_s4 @ sK13) @ (sK0 @ vSIGMA_16 @ X141)))) <- {130} [superposition 1567,2292] 126.57/124.68 3721. ($false != $false) | rel_s4 @ sK13 = sK0 @ vSIGMA_16 @ X145 | vSIGMA_16 = X145 | ($true != X145 @ (sK0 @ vSIGMA_16 @ X145)) | vSIGMA_16 = X144 | ($true != X144 @ (sK0 @ vSIGMA_16 @ X144)) | ($false = p @ (sK17 @ (sK10 @ (sK0 @ vSIGMA_16 @ X144) @ (rel_s4 @ sK13)))) <- {130} [superposition 1568,2292] 126.57/124.68 3723. ($false = $true) | ($false = exists_in_world @ X147 @ X148) | ($false = rel_s4 @ X148 @ sK13) | ($false = rel_s4 @ sK13 @ X148) | ($false = rel_s4 @ X148 @ X149) | ($true = big_q @ X147 @ X149) | ($false = p @ (sK17 @ (sK17 @ sK13))) <- {6, 130} [superposition 1389,2292] 126.57/124.68 3724. ($false = $true) | ($false = exists_in_world @ X150 @ X151) | ($false = rel_s4 @ X151 @ sK13) | ($false = rel_s4 @ sK13 @ X151) | ($false = rel_s4 @ X151 @ X152) | ($true = p @ X152) | ($false = p @ (sK17 @ (sK17 @ sK13))) <- {6, 130} [superposition 1385,2292] 126.57/124.68 3725. ($false = vOR_37 @ (vNOT_33 @ $false) @ (p @ (sK17 @ sK13))) | ($false = exists_in_world @ X153 @ X154) | ($false = rel_s4 @ X154 @ sK13) | ($false = rel_s4 @ sK13 @ X154) | ($false = rel_s4 @ X154 @ X155) | ($true = big_q @ X153 @ X155) | ($false = p @ (sK17 @ (sK17 @ sK13))) <- {6, 130} [superposition 959,2292] 126.57/124.68 3726. ($false = vOR_37 @ (vNOT_33 @ $false) @ (p @ (sK17 @ sK13))) | ($false = exists_in_world @ X156 @ X157) | ($false = rel_s4 @ X157 @ sK13) | ($false = rel_s4 @ sK13 @ X157) | ($false = rel_s4 @ X157 @ X158) | ($true = p @ X158) | ($false = p @ (sK17 @ (sK17 @ sK13))) <- {6, 130} [superposition 966,2292] 126.57/124.68 3727. ($false != $false) | ($false = p @ (sK17 @ sK13)) <- {129, 130} [superposition 2286,2292] 126.57/124.68 3728. ($false = $true) | ($false = p @ (sK17 @ sK18)) <- {34, 130} [superposition 839,2292] 126.57/124.68 3729. ($false = vOR_37 @ (vNOT_33 @ $false) @ (vPI_177 @ (sCOMB_176 @ (bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ sK18)) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r) @ sK18)))) | ($false = p @ (sK17 @ sK18)) <- {20, 130} [superposition 759,2292] 126.57/124.68 3730. ($false = $true) | ($false = p @ (sK17 @ sK19)) <- {26, 130} [superposition 799,2292] 126.57/124.68 3731. ($false = vOR_37 @ (vNOT_33 @ $false) @ (vPI_177 @ (sCOMB_176 @ (bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ sK19)) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q) @ sK19)))) | ($false = p @ (sK17 @ sK19)) <- {18, 130} [superposition 752,2292] 126.57/124.68 3732. ($false = p @ (sK17 @ sK13)) <- {129, 130} [trivial inequality removal 3727] 126.57/124.68 3734. rel_s4 @ sK13 = sK0 @ vSIGMA_16 @ X145 | vSIGMA_16 = X145 | ($true != X145 @ (sK0 @ vSIGMA_16 @ X145)) | vSIGMA_16 = X144 | ($true != X144 @ (sK0 @ vSIGMA_16 @ X144)) | ($false = p @ (sK17 @ (sK10 @ (sK0 @ vSIGMA_16 @ X144) @ (rel_s4 @ sK13)))) <- {130} [trivial inequality removal 3721] 126.57/124.68 3736. rel_s4 @ sK13 = sK0 @ vSIGMA_16 @ X142 | vSIGMA_16 = X142 | ($true != X142 @ (sK0 @ vSIGMA_16 @ X142)) | vSIGMA_16 = X141 | ($true != X141 @ (sK0 @ vSIGMA_16 @ X141)) | ($false = p @ (sK17 @ (sK10 @ (rel_s4 @ sK13) @ (sK0 @ vSIGMA_16 @ X141)))) <- {130} [trivial inequality removal 3719] 126.57/124.68 3737. ($false = p @ (sK17 @ (sK10 @ (rel_s4 @ sK13) @ (rel_s4 @ X127)))) | ($false = rel_s4 @ sK13 @ X127) | rel_s4 @ sK13 = rel_s4 @ X127 <- {130} [trivial inequality removal 3711] 126.57/124.68 3739. ($false = p @ (sK17 @ (sK10 @ (rel_s4 @ X99) @ (rel_s4 @ sK13)))) | ($false = rel_s4 @ sK13 @ X99) | rel_s4 @ sK13 = rel_s4 @ X99 <- {130} [trivial inequality removal 3703] 126.57/124.68 3742. 199 <=> ($false != p @ (sK17 @ sK13)) [avatar definition] 126.57/124.68 3743. ($false != p @ (sK17 @ sK13)) <- {199} [avatar component clause 3742] 126.57/124.68 3745. 198 <=> ($false = p @ (sK17 @ sK13)) [avatar definition] 126.57/124.68 3746. ($false = p @ (sK17 @ sK13)) <- {198} [avatar component clause 3745] 126.57/124.68 3747. 198 | 129 | ~130 [avatar split clause 3686,2291,2285,3745] 126.57/124.68 3748. 198 | 0 | ~130 [avatar split clause 3687,2291,315,3745] 126.57/124.68 3750. 200 <=> ! [X1,X2] : (($false = p @ (sK17 @ X1)) | ($false = rel_s4 @ sK13 @ X2) | ($false = rel_s4 @ X2 @ X1)) [avatar definition] 126.57/124.68 3751. ($false = rel_s4 @ sK13 @ X2) | ($false = p @ (sK17 @ X1)) | ($false = rel_s4 @ X2 @ X1) <- {200} [avatar component clause 3750] 126.57/124.68 3752. 200 | 0 | ~130 [avatar split clause 3688,2291,315,3750] 126.57/124.68 3754. 202 <=> ! [X91 : mu,X93,X92] : (($false = exists_in_world @ X91 @ X92) | ($true = big_q @ X91 @ X93) | ($false = rel_s4 @ X92 @ X93) | ($false = rel_s4 @ sK13 @ X92) | ($false = rel_s4 @ X92 @ sK13)) [avatar definition] 126.57/124.68 3755. ($true = big_q @ X91 @ X93) | ($false = exists_in_world @ X91 @ X92) | ($false = rel_s4 @ X92 @ X93) | ($false = rel_s4 @ sK13 @ X92) | ($false = rel_s4 @ X92 @ sK13) <- {202} [avatar component clause 3754] 126.57/124.68 3757. 205 <=> ($false != p @ (sK17 @ (sK17 @ sK13))) [avatar definition] 126.57/124.68 3758. ($false != p @ (sK17 @ (sK17 @ sK13))) <- {205} [avatar component clause 3757] 126.57/124.68 3760. 204 <=> ($false = p @ (sK17 @ (sK17 @ sK13))) [avatar definition] 126.57/124.68 3761. ($false = p @ (sK17 @ (sK17 @ sK13))) <- {204} [avatar component clause 3760] 126.57/124.68 3762. 202 | 204 | 0 | ~6 | ~130 [avatar split clause 3689,2291,368,315,3760,3754] 126.57/124.68 3764. 206 <=> ! [X96,X95,X94 : mu] : (($false = exists_in_world @ X94 @ X95) | ($true = p @ X96) | ($false = rel_s4 @ X95 @ X96) | ($false = rel_s4 @ sK13 @ X95) | ($false = rel_s4 @ X95 @ sK13)) [avatar definition] 126.57/124.68 3765. ($false = exists_in_world @ X94 @ X95) | ($true = p @ X96) | ($false = rel_s4 @ X95 @ X96) | ($false = rel_s4 @ sK13 @ X95) | ($false = rel_s4 @ X95 @ sK13) <- {206} [avatar component clause 3764] 126.57/124.68 3766. 206 | 204 | 0 | ~6 | ~130 [avatar split clause 3690,2291,368,315,3760,3764] 126.57/124.68 3771. 208 <=> ($false = p @ (sK17 @ sK18)) [avatar definition] 126.57/124.68 3772. ($false = p @ (sK17 @ sK18)) <- {208} [avatar component clause 3771] 126.57/124.68 3773. 208 | 0 | ~34 | ~130 [avatar split clause 3691,2291,838,315,3771] 126.57/124.68 3778. 210 <=> ($false = p @ (sK17 @ sK19)) [avatar definition] 126.57/124.68 3779. ($false = p @ (sK17 @ sK19)) <- {210} [avatar component clause 3778] 126.57/124.68 3780. 210 | 0 | ~26 | ~130 [avatar split clause 3692,2291,798,315,3778] 126.57/124.68 3781. 198 | 0 | ~130 [avatar split clause 3693,2291,315,3745] 126.57/124.68 3782. 200 | 0 | ~130 [avatar split clause 3694,2291,315,3750] 126.57/124.68 3784. 212 <=> ! [X141 : (($i > $o) > $o)] : (vSIGMA_16 = X141 | ($false = p @ (sK17 @ (sK10 @ (rel_s4 @ sK13) @ (sK0 @ vSIGMA_16 @ X141)))) | ($true != X141 @ (sK0 @ vSIGMA_16 @ X141))) [avatar definition] 126.57/124.68 3787. 214 <=> ! [X142 : (($i > $o) > $o)] : (rel_s4 @ sK13 = sK0 @ vSIGMA_16 @ X142 | ($true != X142 @ (sK0 @ vSIGMA_16 @ X142)) | vSIGMA_16 = X142) [avatar definition] 126.57/124.68 3789. 212 | 214 | ~130 [avatar split clause 3736,2291,3787,3784] 126.57/124.68 3791. 216 <=> ! [X144 : (($i > $o) > $o)] : (vSIGMA_16 = X144 | ($false = p @ (sK17 @ (sK10 @ (sK0 @ vSIGMA_16 @ X144) @ (rel_s4 @ sK13)))) | ($true != X144 @ (sK0 @ vSIGMA_16 @ X144))) [avatar definition] 126.57/124.68 3793. 216 | 214 | ~130 [avatar split clause 3734,2291,3787,3791] 126.57/124.68 3794. 204 | 202 | 0 | ~6 | ~130 [avatar split clause 3723,2291,368,315,3754,3760] 126.57/124.68 3795. 204 | 206 | 0 | ~6 | ~130 [avatar split clause 3724,2291,368,315,3764,3760] 126.57/124.68 3800. 218 <=> ($false = vOR_37 @ (vNOT_33 @ $false) @ (p @ (sK17 @ sK13))) [avatar definition] 126.57/124.68 3801. ($false = vOR_37 @ (vNOT_33 @ $false) @ (p @ (sK17 @ sK13))) <- {218} [avatar component clause 3800] 126.57/124.68 3802. 204 | 202 | 218 | ~6 | ~130 [avatar split clause 3725,2291,368,3800,3754,3760] 126.57/124.68 3803. 204 | 206 | 218 | ~6 | ~130 [avatar split clause 3726,2291,368,3800,3764,3760] 126.57/124.68 3804. 198 | 129 | ~130 [avatar split clause 3732,2291,2285,3745] 126.57/124.68 3805. 208 | 0 | ~34 | ~130 [avatar split clause 3728,2291,838,315,3771] 126.57/124.68 3810. 220 <=> ($false = vOR_37 @ (vNOT_33 @ $false) @ (vPI_177 @ (sCOMB_176 @ (bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ sK18)) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r) @ sK18)))) [avatar definition] 126.57/124.68 3812. 208 | 220 | ~20 | ~130 [avatar split clause 3729,2291,758,3810,3771] 126.57/124.68 3813. 210 | 0 | ~26 | ~130 [avatar split clause 3730,2291,798,315,3778] 126.57/124.68 3818. 222 <=> ($false = vOR_37 @ (vNOT_33 @ $false) @ (vPI_177 @ (sCOMB_176 @ (bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ sK19)) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q) @ sK19)))) [avatar definition] 126.57/124.68 3819. ($false = vOR_37 @ (vNOT_33 @ $false) @ (vPI_177 @ (sCOMB_176 @ (bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ sK19)) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q) @ sK19)))) <- {222} [avatar component clause 3818] 126.57/124.68 3820. 210 | 222 | ~18 | ~130 [avatar split clause 3731,2291,751,3818,3778] 126.57/124.68 3821. ($true = p @ sK13) <- {126, 129} [unit resulting resolution 2286,2283] 126.57/124.68 3822. ($false = $true) | ($true = p @ sK13) <- {126} [superposition 2283,258] 126.57/124.68 3823. ($false = $true) | ($true = p @ X1) | ($false = rel_s4 @ sK13 @ X2) | ($false = rel_s4 @ X2 @ X1) <- {126} [superposition 2283,253] 126.57/124.68 3824. ($false = $true) | ($true = p @ (sK17 @ sK13)) | ($false = exists_in_world @ X91 @ X92) | ($false = rel_s4 @ X92 @ sK13) | ($false = rel_s4 @ sK13 @ X92) | ($false = rel_s4 @ X92 @ X93) | ($true = big_q @ X91 @ X93) <- {6, 126} [superposition 2283,1389] 126.57/124.68 3825. ($false = $true) | ($true = p @ (sK17 @ sK13)) | ($false = exists_in_world @ X94 @ X95) | ($false = rel_s4 @ X95 @ sK13) | ($false = rel_s4 @ sK13 @ X95) | ($false = rel_s4 @ X95 @ X96) | ($true = p @ X96) <- {6, 126} [superposition 2283,1385] 126.57/124.68 3826. ($false = $true) | ($true = p @ sK18) <- {34, 126} [superposition 2283,839] 126.57/124.69 3827. ($false = $true) | ($true = p @ sK19) <- {26, 126} [superposition 2283,799] 126.57/124.69 3828. ($false = $true) | ($true = p @ sK13) <- {126} [superposition 258,2283] 126.57/124.69 3829. ($false = $true) | ($false = rel_s4 @ sK13 @ X1) | ($false = rel_s4 @ X1 @ X0) | ($true = p @ X0) <- {126} [superposition 253,2283] 126.57/124.69 3832. ($false != $false) | rel_s4 @ sK13 = X46 | ($false != X46 @ (sK10 @ X46 @ (rel_s4 @ sK13))) | ($true = p @ (sK10 @ X46 @ (rel_s4 @ sK13))) <- {126} [superposition 990,2283] 126.57/124.69 3838. ($false != $false) | rel_s4 @ sK13 = rel_s4 @ X99 | ($false = rel_s4 @ sK13 @ X99) | ($true = p @ (sK10 @ (rel_s4 @ X99) @ (rel_s4 @ sK13))) <- {126} [superposition 981,2283] 126.57/124.69 3846. ($false != $false) | rel_s4 @ sK13 = rel_s4 @ X127 | ($false = rel_s4 @ sK13 @ X127) | ($true = p @ (sK10 @ (rel_s4 @ sK13) @ (rel_s4 @ X127))) <- {126} [superposition 1674,2283] 126.57/124.69 3851. ($true = p @ (sK10 @ (rel_s4 @ sK13) @ X138)) | rel_s4 @ sK13 = X138 | ($false != X138 @ (sK10 @ (rel_s4 @ sK13) @ X138)) <- {126} [superposition 171,2283] 126.57/124.69 3854. ($false != $false) | rel_s4 @ sK13 = sK0 @ vSIGMA_16 @ X142 | vSIGMA_16 = X142 | ($true != X142 @ (sK0 @ vSIGMA_16 @ X142)) | vSIGMA_16 = X141 | ($true != X141 @ (sK0 @ vSIGMA_16 @ X141)) | ($true = p @ (sK10 @ (rel_s4 @ sK13) @ (sK0 @ vSIGMA_16 @ X141))) <- {126} [superposition 1567,2283] 126.57/124.69 3856. ($false != $false) | rel_s4 @ sK13 = sK0 @ vSIGMA_16 @ X145 | vSIGMA_16 = X145 | ($true != X145 @ (sK0 @ vSIGMA_16 @ X145)) | vSIGMA_16 = X144 | ($true != X144 @ (sK0 @ vSIGMA_16 @ X144)) | ($true = p @ (sK10 @ (sK0 @ vSIGMA_16 @ X144) @ (rel_s4 @ sK13))) <- {126} [superposition 1568,2283] 126.57/124.69 3858. ($false = $true) | ($false = exists_in_world @ X147 @ X148) | ($false = rel_s4 @ X148 @ sK13) | ($false = rel_s4 @ sK13 @ X148) | ($false = rel_s4 @ X148 @ X149) | ($true = big_q @ X147 @ X149) | ($true = p @ (sK17 @ sK13)) <- {6, 126} [superposition 1389,2283] 126.57/124.69 3859. ($false = $true) | ($false = exists_in_world @ X150 @ X151) | ($false = rel_s4 @ X151 @ sK13) | ($false = rel_s4 @ sK13 @ X151) | ($false = rel_s4 @ X151 @ X152) | ($true = p @ X152) | ($true = p @ (sK17 @ sK13)) <- {6, 126} [superposition 1385,2283] 126.57/124.69 3860. ($false = vOR_37 @ (vNOT_33 @ $false) @ (p @ (sK17 @ sK13))) | ($false = exists_in_world @ X153 @ X154) | ($false = rel_s4 @ X154 @ sK13) | ($false = rel_s4 @ sK13 @ X154) | ($false = rel_s4 @ X154 @ X155) | ($true = big_q @ X153 @ X155) | ($true = p @ (sK17 @ sK13)) <- {6, 126} [superposition 959,2283] 126.57/124.69 3862. ($false != $false) | ($true = p @ sK13) <- {126, 129} [superposition 2286,2283] 126.57/124.69 3863. ($false = $true) | ($true = p @ sK18) <- {34, 126} [superposition 839,2283] 126.57/124.69 3865. ($false = $true) | ($true = p @ sK19) <- {26, 126} [superposition 799,2283] 126.57/124.69 3867. ($true = p @ sK13) <- {126, 129} [trivial inequality removal 3862] 126.57/124.69 3869. rel_s4 @ sK13 = sK0 @ vSIGMA_16 @ X145 | vSIGMA_16 = X145 | ($true != X145 @ (sK0 @ vSIGMA_16 @ X145)) | vSIGMA_16 = X144 | ($true != X144 @ (sK0 @ vSIGMA_16 @ X144)) | ($true = p @ (sK10 @ (sK0 @ vSIGMA_16 @ X144) @ (rel_s4 @ sK13))) <- {126} [trivial inequality removal 3856] 126.57/124.69 3871. rel_s4 @ sK13 = sK0 @ vSIGMA_16 @ X142 | vSIGMA_16 = X142 | ($true != X142 @ (sK0 @ vSIGMA_16 @ X142)) | vSIGMA_16 = X141 | ($true != X141 @ (sK0 @ vSIGMA_16 @ X141)) | ($true = p @ (sK10 @ (rel_s4 @ sK13) @ (sK0 @ vSIGMA_16 @ X141))) <- {126} [trivial inequality removal 3854] 126.57/124.69 3872. ($true = p @ (sK10 @ (rel_s4 @ sK13) @ (rel_s4 @ X127))) | ($false = rel_s4 @ sK13 @ X127) | rel_s4 @ sK13 = rel_s4 @ X127 <- {126} [trivial inequality removal 3846] 126.57/124.69 3874. ($true = p @ (sK10 @ (rel_s4 @ X99) @ (rel_s4 @ sK13))) | ($false = rel_s4 @ sK13 @ X99) | rel_s4 @ sK13 = rel_s4 @ X99 <- {126} [trivial inequality removal 3838] 126.57/124.69 3875. ($true = p @ (sK10 @ X46 @ (rel_s4 @ sK13))) | ($false != X46 @ (sK10 @ X46 @ (rel_s4 @ sK13))) | rel_s4 @ sK13 = X46 <- {126} [trivial inequality removal 3832] 126.57/124.69 3877. 225 <=> ($true != p @ sK13) [avatar definition] 126.57/124.69 3878. ($true != p @ sK13) <- {225} [avatar component clause 3877] 126.57/124.69 3880. 224 <=> ($true = p @ sK13) [avatar definition] 126.57/124.69 3882. 224 | ~126 | 129 [avatar split clause 3821,2285,2282,3880] 126.57/124.69 3883. 224 | 0 | ~126 [avatar split clause 3822,2282,315,3880] 126.57/124.69 3885. 226 <=> ! [X1,X2] : (($true = p @ X1) | ($false = rel_s4 @ sK13 @ X2) | ($false = rel_s4 @ X2 @ X1)) [avatar definition] 126.57/124.69 3886. ($false = rel_s4 @ sK13 @ X2) | ($true = p @ X1) | ($false = rel_s4 @ X2 @ X1) <- {226} [avatar component clause 3885] 126.57/124.69 3887. 226 | 0 | ~126 [avatar split clause 3823,2282,315,3885] 126.57/124.69 3888. ($false = $true) | ($false = $true) | ($false = exists_in_world @ X91 @ X92) | ($false = rel_s4 @ X92 @ sK13) | ($false = rel_s4 @ sK13 @ X92) | ($false = rel_s4 @ X92 @ X93) | ($true = big_q @ X91 @ X93) <- {6, 126, 198} [forward demodulation 3824,3746] 126.57/124.69 3889. ($false = $true) | ($false = exists_in_world @ X91 @ X92) | ($false = rel_s4 @ X92 @ sK13) | ($false = rel_s4 @ sK13 @ X92) | ($false = rel_s4 @ X92 @ X93) | ($true = big_q @ X91 @ X93) <- {6, 126, 198} [duplicate literal removal 3888] 126.57/124.69 3890. 202 | 0 | ~6 | ~126 | ~198 [avatar split clause 3889,3745,2282,368,315,3754] 126.57/124.69 3891. ($false = $true) | ($false = $true) | ($false = exists_in_world @ X94 @ X95) | ($false = rel_s4 @ X95 @ sK13) | ($false = rel_s4 @ sK13 @ X95) | ($false = rel_s4 @ X95 @ X96) | ($true = p @ X96) <- {6, 126, 198} [forward demodulation 3825,3746] 126.57/124.69 3892. ($false = $true) | ($false = exists_in_world @ X94 @ X95) | ($false = rel_s4 @ X95 @ sK13) | ($false = rel_s4 @ sK13 @ X95) | ($false = rel_s4 @ X95 @ X96) | ($true = p @ X96) <- {6, 126, 198} [duplicate literal removal 3891] 126.57/124.69 3893. 206 | 0 | ~6 | ~126 | ~198 [avatar split clause 3892,3745,2282,368,315,3764] 126.57/124.69 3898. 228 <=> ($true = p @ sK18) [avatar definition] 126.57/124.69 3899. ($true = p @ sK18) <- {228} [avatar component clause 3898] 126.57/124.69 3900. 228 | 0 | ~34 | ~126 [avatar split clause 3826,2282,838,315,3898] 126.57/124.69 3902. 231 <=> ($true != p @ sK19) [avatar definition] 126.57/124.69 3903. ($true != p @ sK19) <- {231} [avatar component clause 3902] 126.57/124.69 3905. 230 <=> ($true = p @ sK19) [avatar definition] 126.57/124.69 3907. 230 | 0 | ~26 | ~126 [avatar split clause 3827,2282,798,315,3905] 126.57/124.69 3908. 224 | 0 | ~126 [avatar split clause 3828,2282,315,3880] 126.57/124.69 3909. 226 | 0 | ~126 [avatar split clause 3829,2282,315,3885] 126.57/124.69 3911. 232 <=> ! [X141 : (($i > $o) > $o)] : (vSIGMA_16 = X141 | ($true = p @ (sK10 @ (rel_s4 @ sK13) @ (sK0 @ vSIGMA_16 @ X141))) | ($true != X141 @ (sK0 @ vSIGMA_16 @ X141))) [avatar definition] 126.57/124.69 3913. 232 | 214 | ~126 [avatar split clause 3871,2282,3787,3911] 126.57/124.69 3915. 234 <=> ! [X144 : (($i > $o) > $o)] : (vSIGMA_16 = X144 | ($true = p @ (sK10 @ (sK0 @ vSIGMA_16 @ X144) @ (rel_s4 @ sK13))) | ($true != X144 @ (sK0 @ vSIGMA_16 @ X144))) [avatar definition] 126.57/124.69 3917. 234 | 214 | ~126 [avatar split clause 3869,2282,3787,3915] 126.57/124.69 3918. ($false = $true) | ($false = $true) | ($false = exists_in_world @ X147 @ X148) | ($false = rel_s4 @ X148 @ sK13) | ($false = rel_s4 @ sK13 @ X148) | ($false = rel_s4 @ X148 @ X149) | ($true = big_q @ X147 @ X149) <- {6, 126, 198} [forward demodulation 3858,3746] 126.57/124.69 3919. ($false = $true) | ($false = exists_in_world @ X147 @ X148) | ($false = rel_s4 @ X148 @ sK13) | ($false = rel_s4 @ sK13 @ X148) | ($false = rel_s4 @ X148 @ X149) | ($true = big_q @ X147 @ X149) <- {6, 126, 198} [duplicate literal removal 3918] 126.57/124.69 3920. 202 | 0 | ~6 | ~126 | ~198 [avatar split clause 3919,3745,2282,368,315,3754] 126.57/124.69 3921. ($false = $true) | ($false = $true) | ($false = exists_in_world @ X150 @ X151) | ($false = rel_s4 @ X151 @ sK13) | ($false = rel_s4 @ sK13 @ X151) | ($false = rel_s4 @ X151 @ X152) | ($true = p @ X152) <- {6, 126, 198} [forward demodulation 3859,3746] 126.57/124.69 3922. ($false = $true) | ($false = exists_in_world @ X150 @ X151) | ($false = rel_s4 @ X151 @ sK13) | ($false = rel_s4 @ sK13 @ X151) | ($false = rel_s4 @ X151 @ X152) | ($true = p @ X152) <- {6, 126, 198} [duplicate literal removal 3921] 126.57/124.69 3923. 206 | 0 | ~6 | ~126 | ~198 [avatar split clause 3922,3745,2282,368,315,3764] 126.57/124.69 3924. 224 | ~126 | 129 [avatar split clause 3867,2285,2282,3880] 126.57/124.69 3925. 228 | 0 | ~34 | ~126 [avatar split clause 3863,2282,838,315,3898] 126.57/124.69 3926. 230 | 0 | ~26 | ~126 [avatar split clause 3865,2282,798,315,3905] 126.57/124.69 3992. ($false = $true) | ($false = p @ (sK17 @ X1)) | ($false = rel_s4 @ sK18 @ X2) | ($false = rel_s4 @ X2 @ X1) <- {134} [superposition 2301,253] 126.57/124.69 3993. ($false = $true) | ($false = p @ (sK17 @ (sK17 @ sK18))) | ($false = exists_in_world @ X91 @ X92) | ($false = rel_s4 @ X92 @ sK18) | ($false = rel_s4 @ sK13 @ X92) | ($false = rel_s4 @ X92 @ X93) | ($true = big_q @ X91 @ X93) <- {6, 134} [superposition 2301,1389] 126.57/124.69 3994. ($false = $true) | ($false = p @ (sK17 @ (sK17 @ sK18))) | ($false = exists_in_world @ X94 @ X95) | ($false = rel_s4 @ X95 @ sK18) | ($false = rel_s4 @ sK13 @ X95) | ($false = rel_s4 @ X95 @ X96) | ($true = p @ X96) <- {6, 134} [superposition 2301,1385] 126.57/124.69 3995. ($false = $true) | ($false = p @ (sK17 @ sK23)) <- {92, 134} [superposition 2301,2125] 126.57/124.69 3997. ($false = $true) | ($false = rel_s4 @ sK18 @ X1) | ($false = rel_s4 @ X1 @ X0) | ($false = p @ (sK17 @ X0)) <- {134} [superposition 253,2301] 126.57/124.69 4022. ($false != $false) | rel_s4 @ sK18 = sK0 @ vSIGMA_16 @ X142 | vSIGMA_16 = X142 | ($true != X142 @ (sK0 @ vSIGMA_16 @ X142)) | vSIGMA_16 = X141 | ($true != X141 @ (sK0 @ vSIGMA_16 @ X141)) | ($false = p @ (sK17 @ (sK10 @ (rel_s4 @ sK18) @ (sK0 @ vSIGMA_16 @ X141)))) <- {134} [superposition 1567,2301] 126.57/124.69 4024. ($false != $false) | rel_s4 @ sK18 = sK0 @ vSIGMA_16 @ X145 | vSIGMA_16 = X145 | ($true != X145 @ (sK0 @ vSIGMA_16 @ X145)) | vSIGMA_16 = X144 | ($true != X144 @ (sK0 @ vSIGMA_16 @ X144)) | ($false = p @ (sK17 @ (sK10 @ (sK0 @ vSIGMA_16 @ X144) @ (rel_s4 @ sK18)))) <- {134} [superposition 1568,2301] 126.57/124.69 4026. ($false = $true) | ($false = exists_in_world @ X147 @ X148) | ($false = rel_s4 @ X148 @ sK18) | ($false = rel_s4 @ sK13 @ X148) | ($false = rel_s4 @ X148 @ X149) | ($true = big_q @ X147 @ X149) | ($false = p @ (sK17 @ (sK17 @ sK18))) <- {6, 134} [superposition 1389,2301] 126.57/124.69 4027. ($false = $true) | ($false = exists_in_world @ X150 @ X151) | ($false = rel_s4 @ X151 @ sK18) | ($false = rel_s4 @ sK13 @ X151) | ($false = rel_s4 @ X151 @ X152) | ($true = p @ X152) | ($false = p @ (sK17 @ (sK17 @ sK18))) <- {6, 134} [superposition 1385,2301] 126.57/124.69 4028. ($false = vOR_37 @ (vNOT_33 @ $false) @ (p @ (sK17 @ sK18))) | ($false = exists_in_world @ X153 @ X154) | ($false = rel_s4 @ X154 @ sK18) | ($false = rel_s4 @ sK13 @ X154) | ($false = rel_s4 @ X154 @ X155) | ($true = big_q @ X153 @ X155) | ($false = p @ (sK17 @ (sK17 @ sK18))) <- {6, 134} [superposition 959,2301] 126.57/124.69 4029. ($false = vOR_37 @ (vNOT_33 @ $false) @ (p @ (sK17 @ sK18))) | ($false = exists_in_world @ X156 @ X157) | ($false = rel_s4 @ X157 @ sK18) | ($false = rel_s4 @ sK13 @ X157) | ($false = rel_s4 @ X157 @ X158) | ($true = p @ X158) | ($false = p @ (sK17 @ (sK17 @ sK18))) <- {6, 134} [superposition 966,2301] 126.57/124.69 4030. ($false = $true) | ($false = p @ (sK17 @ sK23)) <- {92, 134} [superposition 2125,2301] 126.57/124.69 4031. ($false = vOR_37 @ (vNOT_33 @ $false) @ (big_r @ sK21 @ sK23)) | ($false = p @ (sK17 @ sK23)) <- {60, 134} [superposition 1335,2301] 126.57/124.69 4033. rel_s4 @ sK18 = sK0 @ vSIGMA_16 @ X145 | vSIGMA_16 = X145 | ($true != X145 @ (sK0 @ vSIGMA_16 @ X145)) | vSIGMA_16 = X144 | ($true != X144 @ (sK0 @ vSIGMA_16 @ X144)) | ($false = p @ (sK17 @ (sK10 @ (sK0 @ vSIGMA_16 @ X144) @ (rel_s4 @ sK18)))) <- {134} [trivial inequality removal 4024] 126.57/124.69 4035. rel_s4 @ sK18 = sK0 @ vSIGMA_16 @ X142 | vSIGMA_16 = X142 | ($true != X142 @ (sK0 @ vSIGMA_16 @ X142)) | vSIGMA_16 = X141 | ($true != X141 @ (sK0 @ vSIGMA_16 @ X141)) | ($false = p @ (sK17 @ (sK10 @ (rel_s4 @ sK18) @ (sK0 @ vSIGMA_16 @ X141)))) <- {134} [trivial inequality removal 4022] 126.57/124.69 4041. 236 <=> ! [X1,X2] : (($false = p @ (sK17 @ X1)) | ($false = rel_s4 @ sK18 @ X2) | ($false = rel_s4 @ X2 @ X1)) [avatar definition] 126.57/124.69 4042. ($false = rel_s4 @ sK18 @ X2) | ($false = p @ (sK17 @ X1)) | ($false = rel_s4 @ X2 @ X1) <- {236} [avatar component clause 4041] 126.57/124.69 4043. 236 | 0 | ~134 [avatar split clause 3992,2300,315,4041] 126.57/124.69 4045. 238 <=> ! [X91 : mu,X93,X92] : (($false = exists_in_world @ X91 @ X92) | ($true = big_q @ X91 @ X93) | ($false = rel_s4 @ X92 @ X93) | ($false = rel_s4 @ sK13 @ X92) | ($false = rel_s4 @ X92 @ sK18)) [avatar definition] 126.57/124.69 4046. ($true = big_q @ X91 @ X93) | ($false = exists_in_world @ X91 @ X92) | ($false = rel_s4 @ X92 @ X93) | ($false = rel_s4 @ sK13 @ X92) | ($false = rel_s4 @ X92 @ sK18) <- {238} [avatar component clause 4045] 126.57/124.69 4048. 241 <=> ($false != p @ (sK17 @ (sK17 @ sK18))) [avatar definition] 126.57/124.69 4049. ($false != p @ (sK17 @ (sK17 @ sK18))) <- {241} [avatar component clause 4048] 126.57/124.69 4051. 240 <=> ($false = p @ (sK17 @ (sK17 @ sK18))) [avatar definition] 126.57/124.69 4052. ($false = p @ (sK17 @ (sK17 @ sK18))) <- {240} [avatar component clause 4051] 126.57/124.69 4053. 238 | 240 | 0 | ~6 | ~134 [avatar split clause 3993,2300,368,315,4051,4045] 126.57/124.69 4055. 242 <=> ! [X96,X95,X94 : mu] : (($false = exists_in_world @ X94 @ X95) | ($true = p @ X96) | ($false = rel_s4 @ X95 @ X96) | ($false = rel_s4 @ sK13 @ X95) | ($false = rel_s4 @ X95 @ sK18)) [avatar definition] 126.57/124.69 4056. ($false = exists_in_world @ X94 @ X95) | ($true = p @ X96) | ($false = rel_s4 @ X95 @ X96) | ($false = rel_s4 @ sK13 @ X95) | ($false = rel_s4 @ X95 @ sK18) <- {242} [avatar component clause 4055] 126.57/124.69 4057. 242 | 240 | 0 | ~6 | ~134 [avatar split clause 3994,2300,368,315,4051,4055] 126.57/124.69 4059. 245 <=> ($false != p @ (sK17 @ sK23)) [avatar definition] 126.57/124.69 4060. ($false != p @ (sK17 @ sK23)) <- {245} [avatar component clause 4059] 126.57/124.69 4062. 244 <=> ($false = p @ (sK17 @ sK23)) [avatar definition] 126.57/124.69 4063. ($false = p @ (sK17 @ sK23)) <- {244} [avatar component clause 4062] 126.57/124.69 4064. 244 | 0 | ~92 | ~134 [avatar split clause 3995,2300,2124,315,4062] 126.57/124.69 4065. 236 | 0 | ~134 [avatar split clause 3997,2300,315,4041] 126.57/124.69 4067. 246 <=> ! [X141 : (($i > $o) > $o)] : (vSIGMA_16 = X141 | ($false = p @ (sK17 @ (sK10 @ (rel_s4 @ sK18) @ (sK0 @ vSIGMA_16 @ X141)))) | ($true != X141 @ (sK0 @ vSIGMA_16 @ X141))) [avatar definition] 126.57/124.69 4070. 248 <=> ! [X142 : (($i > $o) > $o)] : (rel_s4 @ sK18 = sK0 @ vSIGMA_16 @ X142 | ($true != X142 @ (sK0 @ vSIGMA_16 @ X142)) | vSIGMA_16 = X142) [avatar definition] 126.57/124.69 4072. 246 | 248 | ~134 [avatar split clause 4035,2300,4070,4067] 126.57/124.69 4074. 250 <=> ! [X144 : (($i > $o) > $o)] : (vSIGMA_16 = X144 | ($false = p @ (sK17 @ (sK10 @ (sK0 @ vSIGMA_16 @ X144) @ (rel_s4 @ sK18)))) | ($true != X144 @ (sK0 @ vSIGMA_16 @ X144))) [avatar definition] 126.57/124.69 4076. 250 | 248 | ~134 [avatar split clause 4033,2300,4070,4074] 126.57/124.69 4077. 240 | 238 | 0 | ~6 | ~134 [avatar split clause 4026,2300,368,315,4045,4051] 126.57/124.69 4078. 240 | 242 | 0 | ~6 | ~134 [avatar split clause 4027,2300,368,315,4055,4051] 126.57/124.69 4079. ($false = vOR_37 @ (vNOT_33 @ $false) @ $false) | ($false = exists_in_world @ X153 @ X154) | ($false = rel_s4 @ X154 @ sK18) | ($false = rel_s4 @ sK13 @ X154) | ($false = rel_s4 @ X154 @ X155) | ($true = big_q @ X153 @ X155) | ($false = p @ (sK17 @ (sK17 @ sK18))) <- {6, 134, 208} [forward demodulation 4028,3772] 126.57/124.69 4084. 252 <=> ($false = vOR_37 @ (vNOT_33 @ $false) @ $false) [avatar definition] 126.57/124.69 4085. ($false = vOR_37 @ (vNOT_33 @ $false) @ $false) <- {252} [avatar component clause 4084] 126.57/124.69 4086. 240 | 238 | 252 | ~6 | ~134 | ~208 [avatar split clause 4079,3771,2300,368,4084,4045,4051] 126.57/124.69 4087. ($false = vOR_37 @ (vNOT_33 @ $false) @ $false) | ($false = exists_in_world @ X156 @ X157) | ($false = rel_s4 @ X157 @ sK18) | ($false = rel_s4 @ sK13 @ X157) | ($false = rel_s4 @ X157 @ X158) | ($true = p @ X158) | ($false = p @ (sK17 @ (sK17 @ sK18))) <- {6, 134, 208} [forward demodulation 4029,3772] 126.57/124.69 4088. 240 | 242 | 252 | ~6 | ~134 | ~208 [avatar split clause 4087,3771,2300,368,4084,4055,4051] 126.57/124.69 4089. 244 | 0 | ~92 | ~134 [avatar split clause 4030,2300,2124,315,4062] 126.57/124.69 4090. ($false = vOR_37 @ (vNOT_33 @ $false) @ $false) | ($false = p @ (sK17 @ sK23)) <- {60, 94, 134} [forward demodulation 4031,2132] 126.57/124.69 4091. 244 | 252 | ~60 | ~94 | ~134 [avatar split clause 4090,2300,2131,1334,4084,4062] 126.57/124.69 4092. ($false = $true) | ($false = p @ (sK17 @ sK19)) <- {138} [superposition 2316,258] 126.57/124.69 4093. ($false = $true) | ($false = p @ (sK17 @ X1)) | ($false = rel_s4 @ sK19 @ X2) | ($false = rel_s4 @ X2 @ X1) <- {138} [superposition 2316,253] 126.57/124.69 4094. ($false = $true) | ($false = p @ (sK17 @ (sK17 @ sK19))) | ($false = exists_in_world @ X91 @ X92) | ($false = rel_s4 @ X92 @ sK19) | ($false = rel_s4 @ sK13 @ X92) | ($false = rel_s4 @ X92 @ X93) | ($true = big_q @ X91 @ X93) <- {6, 138} [superposition 2316,1389] 126.57/124.69 4095. ($false = $true) | ($false = p @ (sK17 @ (sK17 @ sK19))) | ($false = exists_in_world @ X94 @ X95) | ($false = rel_s4 @ X95 @ sK19) | ($false = rel_s4 @ sK13 @ X95) | ($false = rel_s4 @ X95 @ X96) | ($true = p @ X96) <- {6, 138} [superposition 2316,1385] 126.57/124.69 4096. ($false = $true) | ($false = p @ (sK17 @ sK22)) <- {74, 138} [superposition 2316,2057] 126.57/124.69 4097. ($false = $true) | ($false = p @ (sK17 @ sK19)) <- {138} [superposition 258,2316] 126.57/124.69 4098. ($false = $true) | ($false = rel_s4 @ sK19 @ X1) | ($false = rel_s4 @ X1 @ X0) | ($false = p @ (sK17 @ X0)) <- {138} [superposition 253,2316] 126.57/124.69 4115. ($false != $false) | rel_s4 @ sK19 = rel_s4 @ X127 | ($false = rel_s4 @ sK19 @ X127) | ($false = p @ (sK17 @ (sK10 @ (rel_s4 @ sK19) @ (rel_s4 @ X127)))) <- {138} [superposition 1674,2316] 126.57/124.69 4123. ($false != $false) | rel_s4 @ sK19 = sK0 @ vSIGMA_16 @ X142 | vSIGMA_16 = X142 | ($true != X142 @ (sK0 @ vSIGMA_16 @ X142)) | vSIGMA_16 = X141 | ($true != X141 @ (sK0 @ vSIGMA_16 @ X141)) | ($false = p @ (sK17 @ (sK10 @ (rel_s4 @ sK19) @ (sK0 @ vSIGMA_16 @ X141)))) <- {138} [superposition 1567,2316] 126.57/124.69 4125. ($false != $false) | rel_s4 @ sK19 = sK0 @ vSIGMA_16 @ X145 | vSIGMA_16 = X145 | ($true != X145 @ (sK0 @ vSIGMA_16 @ X145)) | vSIGMA_16 = X144 | ($true != X144 @ (sK0 @ vSIGMA_16 @ X144)) | ($false = p @ (sK17 @ (sK10 @ (sK0 @ vSIGMA_16 @ X144) @ (rel_s4 @ sK19)))) <- {138} [superposition 1568,2316] 126.57/124.69 4127. ($false = $true) | ($false = exists_in_world @ X147 @ X148) | ($false = rel_s4 @ X148 @ sK19) | ($false = rel_s4 @ sK13 @ X148) | ($false = rel_s4 @ X148 @ X149) | ($true = big_q @ X147 @ X149) | ($false = p @ (sK17 @ (sK17 @ sK19))) <- {6, 138} [superposition 1389,2316] 126.57/124.69 4128. ($false = $true) | ($false = exists_in_world @ X150 @ X151) | ($false = rel_s4 @ X151 @ sK19) | ($false = rel_s4 @ sK13 @ X151) | ($false = rel_s4 @ X151 @ X152) | ($true = p @ X152) | ($false = p @ (sK17 @ (sK17 @ sK19))) <- {6, 138} [superposition 1385,2316] 126.57/124.69 4131. ($false = $true) | ($false = p @ (sK17 @ sK22)) <- {74, 138} [superposition 2057,2316] 126.57/124.69 4134. rel_s4 @ sK19 = sK0 @ vSIGMA_16 @ X145 | vSIGMA_16 = X145 | ($true != X145 @ (sK0 @ vSIGMA_16 @ X145)) | vSIGMA_16 = X144 | ($true != X144 @ (sK0 @ vSIGMA_16 @ X144)) | ($false = p @ (sK17 @ (sK10 @ (sK0 @ vSIGMA_16 @ X144) @ (rel_s4 @ sK19)))) <- {138} [trivial inequality removal 4125] 126.57/124.69 4136. rel_s4 @ sK19 = sK0 @ vSIGMA_16 @ X142 | vSIGMA_16 = X142 | ($true != X142 @ (sK0 @ vSIGMA_16 @ X142)) | vSIGMA_16 = X141 | ($true != X141 @ (sK0 @ vSIGMA_16 @ X141)) | ($false = p @ (sK17 @ (sK10 @ (rel_s4 @ sK19) @ (sK0 @ vSIGMA_16 @ X141)))) <- {138} [trivial inequality removal 4123] 126.57/124.69 4137. ($false = p @ (sK17 @ (sK10 @ (rel_s4 @ sK19) @ (rel_s4 @ X127)))) | ($false = rel_s4 @ sK19 @ X127) | rel_s4 @ sK19 = rel_s4 @ X127 <- {138} [trivial inequality removal 4115] 126.57/124.69 4142. 254 <=> ! [X1,X2] : (($false = p @ (sK17 @ X1)) | ($false = rel_s4 @ sK19 @ X2) | ($false = rel_s4 @ X2 @ X1)) [avatar definition] 126.57/124.69 4143. ($false = rel_s4 @ sK19 @ X2) | ($false = p @ (sK17 @ X1)) | ($false = rel_s4 @ X2 @ X1) <- {254} [avatar component clause 4142] 126.57/124.69 4144. 254 | 0 | ~138 [avatar split clause 4093,2315,315,4142] 126.57/124.69 4146. 256 <=> ! [X91 : mu,X93,X92] : (($false = exists_in_world @ X91 @ X92) | ($true = big_q @ X91 @ X93) | ($false = rel_s4 @ X92 @ X93) | ($false = rel_s4 @ sK13 @ X92) | ($false = rel_s4 @ X92 @ sK19)) [avatar definition] 126.57/124.69 4147. ($true = big_q @ X91 @ X93) | ($false = exists_in_world @ X91 @ X92) | ($false = rel_s4 @ X92 @ X93) | ($false = rel_s4 @ sK13 @ X92) | ($false = rel_s4 @ X92 @ sK19) <- {256} [avatar component clause 4146] 126.57/124.69 4152. 258 <=> ($false = p @ (sK17 @ (sK17 @ sK19))) [avatar definition] 126.57/124.69 4153. ($false = p @ (sK17 @ (sK17 @ sK19))) <- {258} [avatar component clause 4152] 126.57/124.69 4154. 256 | 258 | 0 | ~6 | ~138 [avatar split clause 4094,2315,368,315,4152,4146] 126.57/124.69 4156. 260 <=> ! [X96,X95,X94 : mu] : (($false = exists_in_world @ X94 @ X95) | ($true = p @ X96) | ($false = rel_s4 @ X95 @ X96) | ($false = rel_s4 @ sK13 @ X95) | ($false = rel_s4 @ X95 @ sK19)) [avatar definition] 126.57/124.69 4158. 260 | 258 | 0 | ~6 | ~138 [avatar split clause 4095,2315,368,315,4152,4156] 126.57/124.69 4163. 262 <=> ($false = p @ (sK17 @ sK22)) [avatar definition] 126.57/124.69 4164. ($false = p @ (sK17 @ sK22)) <- {262} [avatar component clause 4163] 126.57/124.69 4165. 262 | 0 | ~74 | ~138 [avatar split clause 4096,2315,2056,315,4163] 126.57/124.69 4166. 254 | 0 | ~138 [avatar split clause 4098,2315,315,4142] 126.57/124.69 4168. 264 <=> ! [X141 : (($i > $o) > $o)] : (vSIGMA_16 = X141 | ($false = p @ (sK17 @ (sK10 @ (rel_s4 @ sK19) @ (sK0 @ vSIGMA_16 @ X141)))) | ($true != X141 @ (sK0 @ vSIGMA_16 @ X141))) [avatar definition] 126.57/124.69 4171. 266 <=> ! [X142 : (($i > $o) > $o)] : (rel_s4 @ sK19 = sK0 @ vSIGMA_16 @ X142 | ($true != X142 @ (sK0 @ vSIGMA_16 @ X142)) | vSIGMA_16 = X142) [avatar definition] 126.57/124.69 4172. rel_s4 @ sK19 = sK0 @ vSIGMA_16 @ X142 | ($true != X142 @ (sK0 @ vSIGMA_16 @ X142)) | vSIGMA_16 = X142 <- {266} [avatar component clause 4171] 126.57/124.69 4173. 264 | 266 | ~138 [avatar split clause 4136,2315,4171,4168] 126.57/124.69 4175. 268 <=> ! [X144 : (($i > $o) > $o)] : (vSIGMA_16 = X144 | ($false = p @ (sK17 @ (sK10 @ (sK0 @ vSIGMA_16 @ X144) @ (rel_s4 @ sK19)))) | ($true != X144 @ (sK0 @ vSIGMA_16 @ X144))) [avatar definition] 126.57/124.69 4177. 268 | 266 | ~138 [avatar split clause 4134,2315,4171,4175] 126.57/124.69 4178. 258 | 256 | 0 | ~6 | ~138 [avatar split clause 4127,2315,368,315,4146,4152] 126.57/124.69 4179. 258 | 260 | 0 | ~6 | ~138 [avatar split clause 4128,2315,368,315,4156,4152] 126.57/124.69 4182. 262 | 0 | ~74 | ~138 [avatar split clause 4131,2315,2056,315,4163] 126.57/124.69 4184. ($false = vNOT_33 @ (rel_s4 @ sK19 @ sK28)) <- {102} [HOL binary constant elimination 2159] 126.57/124.69 4185. ($false = big_q @ sK20 @ sK28) <- {102} [HOL binary constant elimination 2159] 126.57/124.69 4186. ($false = vOR_37 @ (vNOT_33 @ $false) @ (big_q @ sK20 @ sK28)) | ($false = p @ (sK17 @ sK28)) <- {102, 138} [superposition 2159,2316] 126.57/124.69 4187. ($false = vOR_37 @ (vNOT_33 @ $true) @ (big_q @ sK20 @ sK28)) | ($false = rel_s4 @ sK19 @ X0) | ($false = rel_s4 @ X0 @ sK28) <- {102} [superposition 2159,253] 126.57/124.69 4188. ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ sK19 @ sK28)) @ $true) | ($false = exists_in_world @ sK20 @ X0) | ($false = rel_s4 @ X0 @ X1) | ($false = rel_s4 @ sK13 @ X0) | ($true = big_r @ sK20 @ X1) | ($false = rel_s4 @ X0 @ sK28) <- {6, 102} [superposition 2159,893] 126.57/124.69 4189. ($false = $true) | ($false = exists_in_world @ sK20 @ X0) | ($false = rel_s4 @ X0 @ X1) | ($false = rel_s4 @ sK13 @ X0) | ($true = big_r @ sK20 @ X1) | ($false = rel_s4 @ X0 @ sK28) <- {6, 102} [HOL short circuit evaluation 4188] 126.57/124.69 4190. ($true = rel_s4 @ sK19 @ sK28) <- {102} [HOL not constant elimination 4184] 126.57/124.69 4195. 270 <=> ($true = rel_s4 @ sK19 @ sK28) [avatar definition] 126.57/124.69 4196. ($true = rel_s4 @ sK19 @ sK28) <- {270} [avatar component clause 4195] 126.57/124.69 4197. 270 | ~102 [avatar split clause 4190,2158,4195] 126.57/124.69 4202. 272 <=> ($false = big_q @ sK20 @ sK28) [avatar definition] 126.57/124.69 4203. ($false = big_q @ sK20 @ sK28) <- {272} [avatar component clause 4202] 126.57/124.69 4204. 272 | ~102 [avatar split clause 4185,2158,4202] 126.57/124.69 4209. 274 <=> ($false = p @ (sK17 @ sK28)) [avatar definition] 126.57/124.69 4210. ($false = p @ (sK17 @ sK28)) <- {274} [avatar component clause 4209] 126.57/124.69 4215. 276 <=> ($false = vOR_37 @ (vNOT_33 @ $false) @ (big_q @ sK20 @ sK28)) [avatar definition] 126.57/124.69 4217. 274 | 276 | ~102 | ~138 [avatar split clause 4186,2315,2158,4215,4209] 126.57/124.69 4219. 278 <=> ! [X0] : (($false = rel_s4 @ sK19 @ X0) | ($false = rel_s4 @ X0 @ sK28)) [avatar definition] 126.57/124.69 4225. 280 <=> ($false = vOR_37 @ (vNOT_33 @ $true) @ (big_q @ sK20 @ sK28)) [avatar definition] 126.57/124.69 4226. ($false = vOR_37 @ (vNOT_33 @ $true) @ (big_q @ sK20 @ sK28)) <- {280} [avatar component clause 4225] 126.57/124.69 4227. 278 | 280 | ~102 [avatar split clause 4187,2158,4225,4219] 126.57/124.69 4229. 282 <=> ! [X1,X0] : (($false = exists_in_world @ sK20 @ X0) | ($false = rel_s4 @ X0 @ sK28) | ($true = big_r @ sK20 @ X1) | ($false = rel_s4 @ sK13 @ X0) | ($false = rel_s4 @ X0 @ X1)) [avatar definition] 126.57/124.69 4230. ($true = big_r @ sK20 @ X1) | ($false = rel_s4 @ X0 @ sK28) | ($false = exists_in_world @ sK20 @ X0) | ($false = rel_s4 @ sK13 @ X0) | ($false = rel_s4 @ X0 @ X1) <- {282} [avatar component clause 4229] 126.57/124.69 4231. 282 | 0 | ~6 | ~102 [avatar split clause 4189,2158,368,315,4229] 126.57/124.69 4232. ($true != $true) | ($false = p @ sK13) <- {225} [fool paramodulation 3878] 126.57/124.69 4233. ($false = p @ sK13) <- {225} [trivial inequality removal 4232] 126.57/124.69 4238. 284 <=> ($false = p @ sK13) [avatar definition] 126.57/124.69 4240. 284 | 225 [avatar split clause 4233,3877,4238] 126.57/124.69 4241. ($false = vNOT_33 @ (rel_s4 @ sK18 @ sK29)) <- {104} [HOL binary constant elimination 2172] 126.57/124.69 4242. ($false = big_r @ sK21 @ sK29) <- {104} [HOL binary constant elimination 2172] 126.57/124.69 4243. ($false = vOR_37 @ (vNOT_33 @ $false) @ (big_r @ sK21 @ sK29)) | ($false = p @ (sK17 @ sK29)) <- {104, 134} [superposition 2172,2301] 126.57/124.69 4244. ($false = vOR_37 @ (vNOT_33 @ $true) @ (big_r @ sK21 @ sK29)) | ($false = rel_s4 @ sK18 @ X0) | ($false = rel_s4 @ X0 @ sK29) <- {104} [superposition 2172,253] 126.57/124.69 4245. ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ sK18 @ sK29)) @ $true) | ($false = exists_in_world @ sK21 @ X0) | ($false = rel_s4 @ X0 @ sK29) | ($false = rel_s4 @ sK13 @ X0) | ($false = rel_s4 @ X0 @ X1) | ($true = p @ X1) <- {6, 104} [superposition 2172,900] 126.57/124.69 4246. ($false = $true) | ($false = exists_in_world @ sK21 @ X0) | ($false = rel_s4 @ X0 @ sK29) | ($false = rel_s4 @ sK13 @ X0) | ($false = rel_s4 @ X0 @ X1) | ($true = p @ X1) <- {6, 104} [HOL short circuit evaluation 4245] 126.57/124.69 4247. ($true = rel_s4 @ sK18 @ sK29) <- {104} [HOL not constant elimination 4241] 126.57/124.69 4252. 286 <=> ($true = rel_s4 @ sK18 @ sK29) [avatar definition] 126.57/124.69 4253. ($true = rel_s4 @ sK18 @ sK29) <- {286} [avatar component clause 4252] 126.57/124.69 4254. 286 | ~104 [avatar split clause 4247,2171,4252] 126.57/124.69 4259. 288 <=> ($false = big_r @ sK21 @ sK29) [avatar definition] 126.57/124.69 4260. ($false = big_r @ sK21 @ sK29) <- {288} [avatar component clause 4259] 126.57/124.69 4261. 288 | ~104 [avatar split clause 4242,2171,4259] 126.57/124.69 4263. 291 <=> ($false != p @ (sK17 @ sK29)) [avatar definition] 126.57/124.69 4264. ($false != p @ (sK17 @ sK29)) <- {291} [avatar component clause 4263] 126.57/124.69 4266. 290 <=> ($false = p @ (sK17 @ sK29)) [avatar definition] 126.57/124.69 4267. ($false = p @ (sK17 @ sK29)) <- {290} [avatar component clause 4266] 126.57/124.69 4272. 292 <=> ($false = vOR_37 @ (vNOT_33 @ $false) @ (big_r @ sK21 @ sK29)) [avatar definition] 126.57/124.69 4274. 290 | 292 | ~104 | ~134 [avatar split clause 4243,2300,2171,4272,4266] 126.57/124.69 4276. 294 <=> ! [X0] : (($false = rel_s4 @ sK18 @ X0) | ($false = rel_s4 @ X0 @ sK29)) [avatar definition] 126.57/124.69 4282. 296 <=> ($false = vOR_37 @ (vNOT_33 @ $true) @ (big_r @ sK21 @ sK29)) [avatar definition] 126.57/124.69 4284. 294 | 296 | ~104 [avatar split clause 4244,2171,4282,4276] 126.57/124.69 4286. 298 <=> ! [X1,X0] : (($false = exists_in_world @ sK21 @ X0) | ($true = p @ X1) | ($false = rel_s4 @ X0 @ X1) | ($false = rel_s4 @ sK13 @ X0) | ($false = rel_s4 @ X0 @ sK29)) [avatar definition] 126.57/124.69 4288. 298 | 0 | ~6 | ~104 [avatar split clause 4246,2171,368,315,4286] 126.57/124.69 4289. ($false = vNOT_33 @ (rel_s4 @ sK19 @ sK30)) <- {108} [HOL binary constant elimination 2193] 126.57/124.69 4290. ($false = big_q @ sK24 @ sK30) <- {108} [HOL binary constant elimination 2193] 126.57/124.69 4291. ($false = vOR_37 @ (vNOT_33 @ $false) @ (big_q @ sK24 @ sK30)) | ($false = p @ (sK17 @ sK30)) <- {108, 138} [superposition 2193,2316] 126.57/124.69 4292. ($false = vOR_37 @ (vNOT_33 @ $true) @ (big_q @ sK24 @ sK30)) | ($false = rel_s4 @ sK19 @ X0) | ($false = rel_s4 @ X0 @ sK30) <- {108} [superposition 2193,253] 126.57/124.69 4293. ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ sK19 @ sK30)) @ $true) | ($false = exists_in_world @ sK24 @ X0) | ($false = rel_s4 @ X0 @ X1) | ($false = rel_s4 @ sK13 @ X0) | ($true = big_r @ sK24 @ X1) | ($false = rel_s4 @ X0 @ sK30) <- {6, 108} [superposition 2193,893] 126.57/124.69 4294. ($false = $true) | ($false = exists_in_world @ sK24 @ X0) | ($false = rel_s4 @ X0 @ X1) | ($false = rel_s4 @ sK13 @ X0) | ($true = big_r @ sK24 @ X1) | ($false = rel_s4 @ X0 @ sK30) <- {6, 108} [HOL short circuit evaluation 4293] 126.57/124.69 4295. ($true = rel_s4 @ sK19 @ sK30) <- {108} [HOL not constant elimination 4289] 126.57/124.69 4300. 300 <=> ($true = rel_s4 @ sK19 @ sK30) [avatar definition] 126.57/124.69 4301. ($true = rel_s4 @ sK19 @ sK30) <- {300} [avatar component clause 4300] 126.57/124.69 4302. 300 | ~108 [avatar split clause 4295,2192,4300] 126.57/124.69 4307. 302 <=> ($false = big_q @ sK24 @ sK30) [avatar definition] 126.57/124.69 4308. ($false = big_q @ sK24 @ sK30) <- {302} [avatar component clause 4307] 126.57/124.69 4309. 302 | ~108 [avatar split clause 4290,2192,4307] 126.57/124.69 4314. 304 <=> ($false = p @ (sK17 @ sK30)) [avatar definition] 126.57/124.69 4315. ($false = p @ (sK17 @ sK30)) <- {304} [avatar component clause 4314] 126.57/124.69 4320. 306 <=> ($false = vOR_37 @ (vNOT_33 @ $false) @ (big_q @ sK24 @ sK30)) [avatar definition] 126.57/124.69 4322. 304 | 306 | ~108 | ~138 [avatar split clause 4291,2315,2192,4320,4314] 126.57/124.69 4324. 308 <=> ! [X0] : (($false = rel_s4 @ sK19 @ X0) | ($false = rel_s4 @ X0 @ sK30)) [avatar definition] 126.57/124.69 4330. 310 <=> ($false = vOR_37 @ (vNOT_33 @ $true) @ (big_q @ sK24 @ sK30)) [avatar definition] 126.57/124.69 4331. ($false = vOR_37 @ (vNOT_33 @ $true) @ (big_q @ sK24 @ sK30)) <- {310} [avatar component clause 4330] 126.57/124.69 4332. 308 | 310 | ~108 [avatar split clause 4292,2192,4330,4324] 126.57/124.69 4334. 312 <=> ! [X1,X0] : (($false = exists_in_world @ sK24 @ X0) | ($false = rel_s4 @ X0 @ sK30) | ($true = big_r @ sK24 @ X1) | ($false = rel_s4 @ sK13 @ X0) | ($false = rel_s4 @ X0 @ X1)) [avatar definition] 126.57/124.69 4335. ($true = big_r @ sK24 @ X1) | ($false = rel_s4 @ X0 @ sK30) | ($false = exists_in_world @ sK24 @ X0) | ($false = rel_s4 @ sK13 @ X0) | ($false = rel_s4 @ X0 @ X1) <- {312} [avatar component clause 4334] 126.57/124.69 4336. 312 | 0 | ~6 | ~108 [avatar split clause 4294,2192,368,315,4334] 126.57/124.69 4337. ($false = vNOT_33 @ (rel_s4 @ sK18 @ sK31)) <- {116} [HOL binary constant elimination 2224] 126.57/124.69 4338. ($false = big_r @ sK25 @ sK31) <- {116} [HOL binary constant elimination 2224] 126.57/124.69 4339. ($false = vOR_37 @ (vNOT_33 @ $false) @ (big_r @ sK25 @ sK31)) | ($false = p @ (sK17 @ sK31)) <- {116, 134} [superposition 2224,2301] 126.57/124.69 4340. ($false = vOR_37 @ (vNOT_33 @ $true) @ (big_r @ sK25 @ sK31)) | ($false = rel_s4 @ sK18 @ X0) | ($false = rel_s4 @ X0 @ sK31) <- {116} [superposition 2224,253] 126.57/124.69 4341. ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ sK18 @ sK31)) @ $true) | ($false = exists_in_world @ sK25 @ X0) | ($false = rel_s4 @ X0 @ sK31) | ($false = rel_s4 @ sK13 @ X0) | ($false = rel_s4 @ X0 @ X1) | ($true = p @ X1) <- {6, 116} [superposition 2224,900] 126.57/124.69 4342. ($false = $true) | ($false = exists_in_world @ sK25 @ X0) | ($false = rel_s4 @ X0 @ sK31) | ($false = rel_s4 @ sK13 @ X0) | ($false = rel_s4 @ X0 @ X1) | ($true = p @ X1) <- {6, 116} [HOL short circuit evaluation 4341] 126.57/124.69 4343. ($true = rel_s4 @ sK18 @ sK31) <- {116} [HOL not constant elimination 4337] 126.57/124.69 4348. 314 <=> ($true = rel_s4 @ sK18 @ sK31) [avatar definition] 126.57/124.69 4349. ($true = rel_s4 @ sK18 @ sK31) <- {314} [avatar component clause 4348] 126.57/124.69 4350. 314 | ~116 [avatar split clause 4343,2223,4348] 126.57/124.69 4355. 316 <=> ($false = big_r @ sK25 @ sK31) [avatar definition] 126.57/124.69 4356. ($false = big_r @ sK25 @ sK31) <- {316} [avatar component clause 4355] 126.57/124.69 4357. 316 | ~116 [avatar split clause 4338,2223,4355] 126.57/124.69 4359. 319 <=> ($false != p @ (sK17 @ sK31)) [avatar definition] 126.57/124.69 4360. ($false != p @ (sK17 @ sK31)) <- {319} [avatar component clause 4359] 126.57/124.69 4362. 318 <=> ($false = p @ (sK17 @ sK31)) [avatar definition] 126.57/124.69 4363. ($false = p @ (sK17 @ sK31)) <- {318} [avatar component clause 4362] 126.57/124.69 4368. 320 <=> ($false = vOR_37 @ (vNOT_33 @ $false) @ (big_r @ sK25 @ sK31)) [avatar definition] 126.57/124.69 4370. 318 | 320 | ~116 | ~134 [avatar split clause 4339,2300,2223,4368,4362] 126.57/124.69 4372. 322 <=> ! [X0] : (($false = rel_s4 @ sK18 @ X0) | ($false = rel_s4 @ X0 @ sK31)) [avatar definition] 126.57/124.69 4378. 324 <=> ($false = vOR_37 @ (vNOT_33 @ $true) @ (big_r @ sK25 @ sK31)) [avatar definition] 126.57/124.69 4380. 322 | 324 | ~116 [avatar split clause 4340,2223,4378,4372] 126.57/124.69 4382. 326 <=> ! [X1,X0] : (($false = exists_in_world @ sK25 @ X0) | ($true = p @ X1) | ($false = rel_s4 @ X0 @ X1) | ($false = rel_s4 @ sK13 @ X0) | ($false = rel_s4 @ X0 @ sK31)) [avatar definition] 126.57/124.69 4384. 326 | 0 | ~6 | ~116 [avatar split clause 4342,2223,368,315,4382] 126.57/124.69 4386. ($false = vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK19))) @ (big_q @ sK24))) <- {112} [HOL binary constant elimination 2203] 126.57/124.69 4387. ($false = sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK19))) @ (big_q @ sK24) @ sK33) <- {112} [HOL SIGMA constant elimination 4386] 126.57/124.69 4388. ($false = bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK19)) @ sK33 @ (big_q @ sK24 @ sK33)) <- {112} [S combinator elimination 4387] 126.57/124.69 4389. ($false = vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK19) @ sK33) @ (big_q @ sK24 @ sK33)) <- {112} [B combinator elimination 4388] 126.57/124.69 4390. ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ sK19 @ sK33)) @ (big_q @ sK24 @ sK33)) <- {112} [B combinator elimination 4389] 126.57/124.69 4395. 328 <=> ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ sK19 @ sK33)) @ (big_q @ sK24 @ sK33)) [avatar definition] 126.57/124.69 4396. ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ sK19 @ sK33)) @ (big_q @ sK24 @ sK33)) <- {328} [avatar component clause 4395] 126.57/124.69 4397. 328 | ~112 [avatar split clause 4390,2202,4395] 126.57/124.69 4399. ($false = vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK18))) @ (big_r @ sK25))) <- {120} [HOL binary constant elimination 2234] 126.57/124.69 4400. ($false = sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK18))) @ (big_r @ sK25) @ sK34) <- {120} [HOL SIGMA constant elimination 4399] 126.57/124.69 4401. ($false = bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK18)) @ sK34 @ (big_r @ sK25 @ sK34)) <- {120} [S combinator elimination 4400] 126.57/124.69 4402. ($false = vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK18) @ sK34) @ (big_r @ sK25 @ sK34)) <- {120} [B combinator elimination 4401] 126.57/124.69 4403. ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ sK18 @ sK34)) @ (big_r @ sK25 @ sK34)) <- {120} [B combinator elimination 4402] 126.57/124.69 4408. 330 <=> ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ sK18 @ sK34)) @ (big_r @ sK25 @ sK34)) [avatar definition] 126.57/124.69 4409. ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ sK18 @ sK34)) @ (big_r @ sK25 @ sK34)) <- {330} [avatar component clause 4408] 126.57/124.69 4410. 330 | ~120 [avatar split clause 4403,2233,4408] 126.57/124.69 4411. ($false = $true) | ($true = p @ X2) | ($false = rel_s4 @ X1 @ X2) | ($false = rel_s4 @ sK13 @ X1) | ($false = rel_s4 @ X1 @ sK23) | ($true != rel_s4 @ X3 @ X1) | ($true != exists_in_world @ sK21 @ X3) <- {100} [superposition 2146,206] 126.57/124.69 4412. ($false = $true) | ($true = p @ X6) | ($false = rel_s4 @ sK18 @ X6) | ($false = rel_s4 @ sK13 @ sK18) | ($false = rel_s4 @ sK18 @ sK23) <- {58, 100} [superposition 2146,1328] 126.57/124.69 4413. ($false = $true) | ($true != rel_s4 @ X1 @ X0) | ($true != exists_in_world @ sK21 @ X1) | ($true = p @ X2) | ($false = rel_s4 @ X0 @ X2) | ($false = rel_s4 @ sK13 @ X0) | ($false = rel_s4 @ X0 @ sK23) <- {100} [superposition 206,2146] 126.57/124.69 4423. ($false != $false) | exists_in_world @ sK21 = sK0 @ vSIGMA_16 @ X25 | vSIGMA_16 = X25 | ($true != X25 @ (sK0 @ vSIGMA_16 @ X25)) | vSIGMA_16 = X24 | ($true != X24 @ (sK0 @ vSIGMA_16 @ X24)) | ($true = p @ X26) | ($false = rel_s4 @ (sK10 @ (exists_in_world @ sK21) @ (sK0 @ vSIGMA_16 @ X24)) @ X26) | ($false = rel_s4 @ sK13 @ (sK10 @ (exists_in_world @ sK21) @ (sK0 @ vSIGMA_16 @ X24))) | ($false = rel_s4 @ (sK10 @ (exists_in_world @ sK21) @ (sK0 @ vSIGMA_16 @ X24)) @ sK23) <- {100} [superposition 1567,2146] 126.57/124.69 4425. ($false != $false) | exists_in_world @ sK21 = sK0 @ vSIGMA_16 @ X30 | vSIGMA_16 = X30 | ($true != X30 @ (sK0 @ vSIGMA_16 @ X30)) | vSIGMA_16 = X29 | ($true != X29 @ (sK0 @ vSIGMA_16 @ X29)) | ($true = p @ X31) | ($false = rel_s4 @ (sK10 @ (sK0 @ vSIGMA_16 @ X29) @ (exists_in_world @ sK21)) @ X31) | ($false = rel_s4 @ sK13 @ (sK10 @ (sK0 @ vSIGMA_16 @ X29) @ (exists_in_world @ sK21))) | ($false = rel_s4 @ (sK10 @ (sK0 @ vSIGMA_16 @ X29) @ (exists_in_world @ sK21)) @ sK23) <- {100} [superposition 1568,2146] 126.57/124.69 4427. ($false = $true) | ($true = p @ X34) | ($false = rel_s4 @ sK18 @ X34) | ($false = rel_s4 @ sK13 @ sK18) | ($false = rel_s4 @ sK18 @ sK23) <- {58, 100} [superposition 1328,2146] 126.57/124.69 4428. ($false = vIMP_37 @ $false @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK18))) @ (big_r @ sK21)))) | ($true = p @ X35) | ($false = rel_s4 @ sK18 @ X35) | ($false = rel_s4 @ sK13 @ sK18) | ($false = rel_s4 @ sK18 @ sK23) <- {36, 100} [superposition 846,2146] 126.57/124.69 4429. ($false = $true) | ($true = p @ X35) | ($false = rel_s4 @ sK18 @ X35) | ($false = rel_s4 @ sK13 @ sK18) | ($false = rel_s4 @ sK18 @ sK23) <- {36, 100} [HOL short circuit evaluation 4428] 126.57/124.69 4431. exists_in_world @ sK21 = sK0 @ vSIGMA_16 @ X30 | vSIGMA_16 = X30 | ($true != X30 @ (sK0 @ vSIGMA_16 @ X30)) | vSIGMA_16 = X29 | ($true != X29 @ (sK0 @ vSIGMA_16 @ X29)) | ($true = p @ X31) | ($false = rel_s4 @ (sK10 @ (sK0 @ vSIGMA_16 @ X29) @ (exists_in_world @ sK21)) @ X31) | ($false = rel_s4 @ sK13 @ (sK10 @ (sK0 @ vSIGMA_16 @ X29) @ (exists_in_world @ sK21))) | ($false = rel_s4 @ (sK10 @ (sK0 @ vSIGMA_16 @ X29) @ (exists_in_world @ sK21)) @ sK23) <- {100} [trivial inequality removal 4425] 126.57/124.69 4433. exists_in_world @ sK21 = sK0 @ vSIGMA_16 @ X25 | vSIGMA_16 = X25 | ($true != X25 @ (sK0 @ vSIGMA_16 @ X25)) | vSIGMA_16 = X24 | ($true != X24 @ (sK0 @ vSIGMA_16 @ X24)) | ($true = p @ X26) | ($false = rel_s4 @ (sK10 @ (exists_in_world @ sK21) @ (sK0 @ vSIGMA_16 @ X24)) @ X26) | ($false = rel_s4 @ sK13 @ (sK10 @ (exists_in_world @ sK21) @ (sK0 @ vSIGMA_16 @ X24))) | ($false = rel_s4 @ (sK10 @ (exists_in_world @ sK21) @ (sK0 @ vSIGMA_16 @ X24)) @ sK23) <- {100} [trivial inequality removal 4423] 126.57/124.69 4437. 332 <=> ! [X1,X3,X2] : (($true = p @ X2) | ($true != exists_in_world @ sK21 @ X3) | ($true != rel_s4 @ X3 @ X1) | ($false = rel_s4 @ X1 @ sK23) | ($false = rel_s4 @ sK13 @ X1) | ($false = rel_s4 @ X1 @ X2)) [avatar definition] 126.57/124.69 4439. 332 | 0 | ~100 [avatar split clause 4411,2145,315,4437] 126.57/124.69 4440. ($false = $true) | ($false = $true) | ($true = p @ X6) | ($false = rel_s4 @ sK18 @ X6) | ($false = rel_s4 @ sK18 @ sK23) <- {34, 58, 100} [forward demodulation 4412,839] 126.57/124.69 4441. ($false = $true) | ($true = p @ X6) | ($false = rel_s4 @ sK18 @ X6) | ($false = rel_s4 @ sK18 @ sK23) <- {34, 58, 100} [duplicate literal removal 4440] 126.57/124.69 4443. 335 <=> ($false != rel_s4 @ sK18 @ sK23) [avatar definition] 126.57/124.69 4444. ($false != rel_s4 @ sK18 @ sK23) <- {335} [avatar component clause 4443] 126.57/124.69 4446. 334 <=> ($false = rel_s4 @ sK18 @ sK23) [avatar definition] 126.57/124.69 4448. 334 | 132 | 0 | ~34 | ~58 | ~100 [avatar split clause 4441,2145,1327,838,315,2297,4446] 126.57/124.69 4449. 332 | 0 | ~100 [avatar split clause 4413,2145,315,4437] 126.57/124.69 4451. 336 <=> ! [X24 : (($i > $o) > $o),X26] : (vSIGMA_16 = X24 | ($false = rel_s4 @ (sK10 @ (exists_in_world @ sK21) @ (sK0 @ vSIGMA_16 @ X24)) @ sK23) | ($false = rel_s4 @ sK13 @ (sK10 @ (exists_in_world @ sK21) @ (sK0 @ vSIGMA_16 @ X24))) | ($false = rel_s4 @ (sK10 @ (exists_in_world @ sK21) @ (sK0 @ vSIGMA_16 @ X24)) @ X26) | ($true = p @ X26) | ($true != X24 @ (sK0 @ vSIGMA_16 @ X24))) [avatar definition] 126.57/124.69 4454. 338 <=> ! [X25 : (($i > $o) > $o)] : (exists_in_world @ sK21 = sK0 @ vSIGMA_16 @ X25 | ($true != X25 @ (sK0 @ vSIGMA_16 @ X25)) | vSIGMA_16 = X25) [avatar definition] 126.57/124.69 4456. 336 | 338 | ~100 [avatar split clause 4433,2145,4454,4451] 126.57/124.69 4458. 340 <=> ! [X29 : (($i > $o) > $o),X31] : (vSIGMA_16 = X29 | ($false = rel_s4 @ (sK10 @ (sK0 @ vSIGMA_16 @ X29) @ (exists_in_world @ sK21)) @ sK23) | ($false = rel_s4 @ sK13 @ (sK10 @ (sK0 @ vSIGMA_16 @ X29) @ (exists_in_world @ sK21))) | ($false = rel_s4 @ (sK10 @ (sK0 @ vSIGMA_16 @ X29) @ (exists_in_world @ sK21)) @ X31) | ($true = p @ X31) | ($true != X29 @ (sK0 @ vSIGMA_16 @ X29))) [avatar definition] 126.57/124.69 4460. 340 | 338 | ~100 [avatar split clause 4431,2145,4454,4458] 126.57/124.69 4461. ($false = $true) | ($false = $true) | ($true = p @ X34) | ($false = rel_s4 @ sK18 @ X34) | ($false = rel_s4 @ sK18 @ sK23) <- {34, 58, 100} [forward demodulation 4427,839] 126.57/124.69 4462. ($false = $true) | ($true = p @ X34) | ($false = rel_s4 @ sK18 @ X34) | ($false = rel_s4 @ sK18 @ sK23) <- {34, 58, 100} [duplicate literal removal 4461] 126.57/124.69 4463. 334 | 132 | 0 | ~34 | ~58 | ~100 [avatar split clause 4462,2145,1327,838,315,2297,4446] 126.57/124.69 4464. ($false = $true) | ($false = $true) | ($true = p @ X35) | ($false = rel_s4 @ sK18 @ X35) | ($false = rel_s4 @ sK18 @ sK23) <- {34, 36, 100} [forward demodulation 4429,839] 126.57/124.69 4465. ($false = $true) | ($true = p @ X35) | ($false = rel_s4 @ sK18 @ X35) | ($false = rel_s4 @ sK18 @ sK23) <- {34, 36, 100} [duplicate literal removal 4464] 126.57/124.69 4466. 334 | 132 | 0 | ~34 | ~36 | ~100 [avatar split clause 4465,2145,845,838,315,2297,4446] 126.57/124.69 4467. ($false = rel_s4 @ sK18 @ sK13) <- {132, 225} [unit resulting resolution 3878,2298] 126.57/124.69 4468. ($false = $true) | ($true = p @ sK18) <- {132} [superposition 2298,258] 126.57/124.69 4469. ($false = $true) | ($true = p @ X1) | ($false = rel_s4 @ sK18 @ X2) | ($false = rel_s4 @ X2 @ X1) <- {132} [superposition 2298,253] 126.57/124.69 4470. ($false = $true) | ($true = p @ (sK17 @ sK18)) | ($false = exists_in_world @ X91 @ X92) | ($false = rel_s4 @ X92 @ sK18) | ($false = rel_s4 @ sK13 @ X92) | ($false = rel_s4 @ X92 @ X93) | ($true = big_q @ X91 @ X93) <- {6, 132} [superposition 2298,1389] 126.57/124.69 4471. ($false = $true) | ($true = p @ (sK17 @ sK18)) | ($false = exists_in_world @ X94 @ X95) | ($false = rel_s4 @ X95 @ sK18) | ($false = rel_s4 @ sK13 @ X95) | ($false = rel_s4 @ X95 @ X96) | ($true = p @ X96) <- {6, 132} [superposition 2298,1385] 126.57/124.69 4472. ($false = $true) | ($true = p @ sK23) <- {92, 132} [superposition 2298,2125] 126.57/124.69 4473. ($false = $true) | ($true = p @ sK18) <- {132} [superposition 258,2298] 126.57/124.69 4474. ($false = $true) | ($false = rel_s4 @ sK18 @ X1) | ($false = rel_s4 @ X1 @ X0) | ($true = p @ X0) <- {132} [superposition 253,2298] 126.57/124.69 4477. ($false != $false) | rel_s4 @ sK18 = X46 | ($false != X46 @ (sK10 @ X46 @ (rel_s4 @ sK18))) | ($true = p @ (sK10 @ X46 @ (rel_s4 @ sK18))) <- {132} [superposition 990,2298] 126.57/124.69 4496. ($true = p @ (sK10 @ (rel_s4 @ sK18) @ X138)) | rel_s4 @ sK18 = X138 | ($false != X138 @ (sK10 @ (rel_s4 @ sK18) @ X138)) <- {132} [superposition 171,2298] 126.57/124.69 4499. ($false != $false) | rel_s4 @ sK18 = sK0 @ vSIGMA_16 @ X142 | vSIGMA_16 = X142 | ($true != X142 @ (sK0 @ vSIGMA_16 @ X142)) | vSIGMA_16 = X141 | ($true != X141 @ (sK0 @ vSIGMA_16 @ X141)) | ($true = p @ (sK10 @ (rel_s4 @ sK18) @ (sK0 @ vSIGMA_16 @ X141))) <- {132} [superposition 1567,2298] 126.57/124.69 4501. ($false != $false) | rel_s4 @ sK18 = sK0 @ vSIGMA_16 @ X145 | vSIGMA_16 = X145 | ($true != X145 @ (sK0 @ vSIGMA_16 @ X145)) | vSIGMA_16 = X144 | ($true != X144 @ (sK0 @ vSIGMA_16 @ X144)) | ($true = p @ (sK10 @ (sK0 @ vSIGMA_16 @ X144) @ (rel_s4 @ sK18))) <- {132} [superposition 1568,2298] 126.57/124.69 4503. ($false = $true) | ($false = exists_in_world @ X147 @ X148) | ($false = rel_s4 @ X148 @ sK18) | ($false = rel_s4 @ sK13 @ X148) | ($false = rel_s4 @ X148 @ X149) | ($true = big_q @ X147 @ X149) | ($true = p @ (sK17 @ sK18)) <- {6, 132} [superposition 1389,2298] 126.57/124.69 4504. ($false = $true) | ($false = exists_in_world @ X150 @ X151) | ($false = rel_s4 @ X151 @ sK18) | ($false = rel_s4 @ sK13 @ X151) | ($false = rel_s4 @ X151 @ X152) | ($true = p @ X152) | ($true = p @ (sK17 @ sK18)) <- {6, 132} [superposition 1385,2298] 126.57/124.69 4505. ($false = vOR_37 @ (vNOT_33 @ $false) @ (p @ (sK17 @ sK18))) | ($false = exists_in_world @ X153 @ X154) | ($false = rel_s4 @ X154 @ sK18) | ($false = rel_s4 @ sK13 @ X154) | ($false = rel_s4 @ X154 @ X155) | ($true = big_q @ X153 @ X155) | ($true = p @ (sK17 @ sK18)) <- {6, 132} [superposition 959,2298] 126.57/124.69 4506. ($false = vOR_37 @ (vNOT_33 @ $false) @ (p @ (sK17 @ sK18))) | ($false = exists_in_world @ X156 @ X157) | ($false = rel_s4 @ X157 @ sK18) | ($false = rel_s4 @ sK13 @ X157) | ($false = rel_s4 @ X157 @ X158) | ($true = p @ X158) | ($true = p @ (sK17 @ sK18)) <- {6, 132} [superposition 966,2298] 126.57/124.69 4507. ($false = $true) | ($true = p @ sK23) <- {92, 132} [superposition 2125,2298] 126.57/124.69 4512. rel_s4 @ sK18 = sK0 @ vSIGMA_16 @ X145 | vSIGMA_16 = X145 | ($true != X145 @ (sK0 @ vSIGMA_16 @ X145)) | vSIGMA_16 = X144 | ($true != X144 @ (sK0 @ vSIGMA_16 @ X144)) | ($true = p @ (sK10 @ (sK0 @ vSIGMA_16 @ X144) @ (rel_s4 @ sK18))) <- {132} [trivial inequality removal 4501] 126.57/124.69 4514. rel_s4 @ sK18 = sK0 @ vSIGMA_16 @ X142 | vSIGMA_16 = X142 | ($true != X142 @ (sK0 @ vSIGMA_16 @ X142)) | vSIGMA_16 = X141 | ($true != X141 @ (sK0 @ vSIGMA_16 @ X141)) | ($true = p @ (sK10 @ (rel_s4 @ sK18) @ (sK0 @ vSIGMA_16 @ X141))) <- {132} [trivial inequality removal 4499] 126.57/124.69 4518. ($true = p @ (sK10 @ X46 @ (rel_s4 @ sK18))) | ($false != X46 @ (sK10 @ X46 @ (rel_s4 @ sK18))) | rel_s4 @ sK18 = X46 <- {132} [trivial inequality removal 4477] 126.57/124.69 4520. 343 <=> ($false != rel_s4 @ sK18 @ sK13) [avatar definition] 126.57/124.69 4521. ($false != rel_s4 @ sK18 @ sK13) <- {343} [avatar component clause 4520] 126.57/124.69 4523. 342 <=> ($false = rel_s4 @ sK18 @ sK13) [avatar definition] 126.57/124.69 4524. ($false = rel_s4 @ sK18 @ sK13) <- {342} [avatar component clause 4523] 126.57/124.69 4525. 342 | ~132 | 225 [avatar split clause 4467,3877,2297,4523] 126.57/124.69 4526. 228 | 0 | ~132 [avatar split clause 4468,2297,315,3898] 126.57/124.69 4528. 344 <=> ! [X1,X2] : (($true = p @ X1) | ($false = rel_s4 @ sK18 @ X2) | ($false = rel_s4 @ X2 @ X1)) [avatar definition] 126.57/124.69 4529. ($false = rel_s4 @ sK18 @ X2) | ($true = p @ X1) | ($false = rel_s4 @ X2 @ X1) <- {344} [avatar component clause 4528] 126.57/124.69 4530. 344 | 0 | ~132 [avatar split clause 4469,2297,315,4528] 126.57/124.69 4531. ($false = $true) | ($false = $true) | ($false = exists_in_world @ X91 @ X92) | ($false = rel_s4 @ X92 @ sK18) | ($false = rel_s4 @ sK13 @ X92) | ($false = rel_s4 @ X92 @ X93) | ($true = big_q @ X91 @ X93) <- {6, 132, 208} [forward demodulation 4470,3772] 126.57/124.69 4532. ($false = $true) | ($false = exists_in_world @ X91 @ X92) | ($false = rel_s4 @ X92 @ sK18) | ($false = rel_s4 @ sK13 @ X92) | ($false = rel_s4 @ X92 @ X93) | ($true = big_q @ X91 @ X93) <- {6, 132, 208} [duplicate literal removal 4531] 126.57/124.69 4533. 238 | 0 | ~6 | ~132 | ~208 [avatar split clause 4532,3771,2297,368,315,4045] 126.57/124.69 4534. ($false = $true) | ($false = $true) | ($false = exists_in_world @ X94 @ X95) | ($false = rel_s4 @ X95 @ sK18) | ($false = rel_s4 @ sK13 @ X95) | ($false = rel_s4 @ X95 @ X96) | ($true = p @ X96) <- {6, 132, 208} [forward demodulation 4471,3772] 126.57/124.69 4535. ($false = $true) | ($false = exists_in_world @ X94 @ X95) | ($false = rel_s4 @ X95 @ sK18) | ($false = rel_s4 @ sK13 @ X95) | ($false = rel_s4 @ X95 @ X96) | ($true = p @ X96) <- {6, 132, 208} [duplicate literal removal 4534] 126.57/124.69 4536. 242 | 0 | ~6 | ~132 | ~208 [avatar split clause 4535,3771,2297,368,315,4055] 126.57/124.69 4541. 346 <=> ($true = p @ sK23) [avatar definition] 126.57/124.69 4543. 346 | 0 | ~92 | ~132 [avatar split clause 4472,2297,2124,315,4541] 126.57/124.69 4544. 228 | 0 | ~132 [avatar split clause 4473,2297,315,3898] 126.57/124.69 4545. 344 | 0 | ~132 [avatar split clause 4474,2297,315,4528] 126.57/124.69 4547. 348 <=> ! [X141 : (($i > $o) > $o)] : (vSIGMA_16 = X141 | ($true = p @ (sK10 @ (rel_s4 @ sK18) @ (sK0 @ vSIGMA_16 @ X141))) | ($true != X141 @ (sK0 @ vSIGMA_16 @ X141))) [avatar definition] 126.57/124.69 4549. 348 | 248 | ~132 [avatar split clause 4514,2297,4070,4547] 126.57/124.69 4551. 350 <=> ! [X144 : (($i > $o) > $o)] : (vSIGMA_16 = X144 | ($true = p @ (sK10 @ (sK0 @ vSIGMA_16 @ X144) @ (rel_s4 @ sK18))) | ($true != X144 @ (sK0 @ vSIGMA_16 @ X144))) [avatar definition] 126.57/124.69 4553. 350 | 248 | ~132 [avatar split clause 4512,2297,4070,4551] 126.57/124.69 4554. ($false = $true) | ($false = $true) | ($false = exists_in_world @ X147 @ X148) | ($false = rel_s4 @ X148 @ sK18) | ($false = rel_s4 @ sK13 @ X148) | ($false = rel_s4 @ X148 @ X149) | ($true = big_q @ X147 @ X149) <- {6, 132, 208} [forward demodulation 4503,3772] 126.57/124.69 4555. ($false = $true) | ($false = exists_in_world @ X147 @ X148) | ($false = rel_s4 @ X148 @ sK18) | ($false = rel_s4 @ sK13 @ X148) | ($false = rel_s4 @ X148 @ X149) | ($true = big_q @ X147 @ X149) <- {6, 132, 208} [duplicate literal removal 4554] 126.57/124.69 4556. 238 | 0 | ~6 | ~132 | ~208 [avatar split clause 4555,3771,2297,368,315,4045] 126.57/124.69 4557. ($false = $true) | ($false = $true) | ($false = exists_in_world @ X150 @ X151) | ($false = rel_s4 @ X151 @ sK18) | ($false = rel_s4 @ sK13 @ X151) | ($false = rel_s4 @ X151 @ X152) | ($true = p @ X152) <- {6, 132, 208} [forward demodulation 4504,3772] 126.57/124.69 4558. ($false = $true) | ($false = exists_in_world @ X150 @ X151) | ($false = rel_s4 @ X151 @ sK18) | ($false = rel_s4 @ sK13 @ X151) | ($false = rel_s4 @ X151 @ X152) | ($true = p @ X152) <- {6, 132, 208} [duplicate literal removal 4557] 126.57/124.69 4559. 242 | 0 | ~6 | ~132 | ~208 [avatar split clause 4558,3771,2297,368,315,4055] 126.57/124.69 4562. 346 | 0 | ~92 | ~132 [avatar split clause 4507,2297,2124,315,4541] 126.57/124.69 4565. ($false = $true) | ($false = rel_s4 @ X3 @ sK22) | ($false = exists_in_world @ sK20 @ X3) | ($false = rel_s4 @ sK13 @ X3) | ($false = rel_s4 @ X3 @ (sK10 @ (big_r @ sK20) @ X2)) | big_r @ sK20 = X2 | ($true != X2 @ (sK10 @ (big_r @ sK20) @ X2)) <- {82} [superposition 2078,342] 126.57/124.69 4566. ($true != $true) | big_r @ sK20 = X1 | ($false != big_r @ sK20 @ (sK10 @ X1 @ (big_r @ sK20))) | ($false = rel_s4 @ X2 @ sK22) | ($false = exists_in_world @ sK20 @ X2) | ($false = rel_s4 @ sK13 @ X2) | ($false = rel_s4 @ X2 @ (sK10 @ X1 @ (big_r @ sK20))) <- {82} [superposition 409,2078] 126.57/124.69 4567. ($false = rel_s4 @ X4 @ (sK10 @ X3 @ (big_r @ sK20))) | big_r @ sK20 = X3 | ($false = rel_s4 @ X4 @ sK22) | ($false = exists_in_world @ sK20 @ X4) | ($false = rel_s4 @ sK13 @ X4) | ($true != X3 @ (sK10 @ X3 @ (big_r @ sK20))) <- {82} [superposition 171,2078] 126.57/124.69 4568. ($false = $true) | big_r @ sK20 = X5 | ($true != X5 @ (sK10 @ (big_r @ sK20) @ X5)) | ($false = rel_s4 @ X6 @ sK22) | ($false = exists_in_world @ sK20 @ X6) | ($false = rel_s4 @ sK13 @ X6) | ($false = rel_s4 @ X6 @ (sK10 @ (big_r @ sK20) @ X5)) <- {82} [superposition 342,2078] 126.57/124.69 4569. ($false = rel_s4 @ X8 @ (sK10 @ (big_r @ sK20) @ X7)) | big_r @ sK20 = X7 | ($false = rel_s4 @ X8 @ sK22) | ($false = exists_in_world @ sK20 @ X8) | ($false = rel_s4 @ sK13 @ X8) | ($true != X7 @ (sK10 @ (big_r @ sK20) @ X7)) <- {82} [superposition 171,2078] 126.57/124.69 4570. ($true != $true) | rel_s4 @ X9 = big_r @ sK20 | ($false != big_r @ sK20 @ (sK10 @ (big_r @ sK20) @ (rel_s4 @ X9))) | ($false = rel_s4 @ X10 @ sK22) | ($false = exists_in_world @ sK20 @ X10) | ($false = rel_s4 @ sK13 @ X10) | ($false = rel_s4 @ X10 @ (sK10 @ (big_r @ sK20) @ (rel_s4 @ X9))) <- {82} [superposition 577,2078] 126.57/124.69 4571. ($true != $true) | big_r @ sK20 = exists_in_world @ X11 | ($false != big_r @ sK20 @ (sK10 @ (big_r @ sK20) @ (exists_in_world @ X11))) | ($false = rel_s4 @ X12 @ sK22) | ($false = exists_in_world @ sK20 @ X12) | ($false = rel_s4 @ sK13 @ X12) | ($false = rel_s4 @ X12 @ (sK10 @ (big_r @ sK20) @ (exists_in_world @ X11))) <- {82} [superposition 882,2078] 126.57/124.69 4576. ($false = rel_s4 @ X12 @ (sK10 @ (big_r @ sK20) @ (exists_in_world @ X11))) | ($false != big_r @ sK20 @ (sK10 @ (big_r @ sK20) @ (exists_in_world @ X11))) | ($false = rel_s4 @ X12 @ sK22) | ($false = exists_in_world @ sK20 @ X12) | ($false = rel_s4 @ sK13 @ X12) | big_r @ sK20 = exists_in_world @ X11 <- {82} [trivial inequality removal 4571] 126.57/124.69 4577. ($false = rel_s4 @ X10 @ (sK10 @ (big_r @ sK20) @ (rel_s4 @ X9))) | ($false != big_r @ sK20 @ (sK10 @ (big_r @ sK20) @ (rel_s4 @ X9))) | ($false = rel_s4 @ X10 @ sK22) | ($false = exists_in_world @ sK20 @ X10) | ($false = rel_s4 @ sK13 @ X10) | rel_s4 @ X9 = big_r @ sK20 <- {82} [trivial inequality removal 4570] 126.57/124.69 4578. ($false = rel_s4 @ X2 @ (sK10 @ X1 @ (big_r @ sK20))) | ($false != big_r @ sK20 @ (sK10 @ X1 @ (big_r @ sK20))) | ($false = rel_s4 @ X2 @ sK22) | ($false = exists_in_world @ sK20 @ X2) | ($false = rel_s4 @ sK13 @ X2) | big_r @ sK20 = X1 <- {82} [trivial inequality removal 4566] 126.57/124.69 4580. 352 <=> ! [X3,X2 : ($i > $o)] : (($false = rel_s4 @ X3 @ sK22) | ($true != X2 @ (sK10 @ (big_r @ sK20) @ X2)) | big_r @ sK20 = X2 | ($false = rel_s4 @ X3 @ (sK10 @ (big_r @ sK20) @ X2)) | ($false = rel_s4 @ sK13 @ X3) | ($false = exists_in_world @ sK20 @ X3)) [avatar definition] 126.57/124.69 4582. 352 | 0 | ~82 [avatar split clause 4565,2077,315,4580] 126.57/124.69 4583. 352 | 0 | ~82 [avatar split clause 4568,2077,315,4580] 126.57/124.69 4597. ($false != $false) | rel_s4 @ X1 = big_q @ X0 | ($false = exists_in_world @ X0 @ X1) | ($false = rel_s4 @ X1 @ X2) | ($false = rel_s4 @ sK13 @ X1) | ($true = big_r @ X0 @ X2) | rel_s4 @ X1 = big_q @ X0 | ($true != rel_s4 @ X1 @ (sK10 @ (big_q @ X0) @ (rel_s4 @ X1))) <- {6} [superposition 2626,342] 126.57/124.69 4599. ($false != $false) | rel_s4 @ X1 = big_q @ X0 | ($false = exists_in_world @ X0 @ X1) | ($false = rel_s4 @ X1 @ X2) | ($false = rel_s4 @ sK13 @ X1) | ($true = big_r @ X0 @ X2) | ($true != rel_s4 @ X1 @ (sK10 @ (big_q @ X0) @ (rel_s4 @ X1))) <- {6} [duplicate literal removal 4597] 126.57/124.69 4600. ($true != rel_s4 @ X1 @ (sK10 @ (big_q @ X0) @ (rel_s4 @ X1))) | ($false = exists_in_world @ X0 @ X1) | ($false = rel_s4 @ X1 @ X2) | ($false = rel_s4 @ sK13 @ X1) | ($true = big_r @ X0 @ X2) | rel_s4 @ X1 = big_q @ X0 <- {6} [trivial inequality removal 4599] 126.57/124.69 4601. ($false = $true) | ($false = exists_in_world @ X48 @ (sK10 @ X47 @ (big_r @ X48))) | ($true != X47 @ (sK10 @ X47 @ (big_r @ X48))) | ($false = rel_s4 @ sK13 @ (sK10 @ X47 @ (big_r @ X48))) | big_r @ X48 = X47 | ($true = p @ (sK10 @ X47 @ (big_r @ X48))) <- {6} [superposition 2404,258] 126.57/124.69 4602. ($false = $true) | ($false = exists_in_world @ X57 @ X55) | ($true != X56 @ (sK10 @ X56 @ (big_r @ X57))) | ($false = rel_s4 @ sK13 @ X55) | big_r @ X57 = X56 | ($true = p @ (sK10 @ X56 @ (big_r @ X57))) | ($false = rel_s4 @ X55 @ X58) | ($false = rel_s4 @ X58 @ (sK10 @ X56 @ (big_r @ X57))) <- {6} [superposition 2404,253] 126.57/124.69 4605. ($false = $true) | ($false = exists_in_world @ X50 @ (sK10 @ X49 @ (big_r @ X50))) | ($true != X49 @ (sK10 @ X49 @ (big_r @ X50))) | ($false = rel_s4 @ sK13 @ (sK10 @ X49 @ (big_r @ X50))) | big_r @ X50 = X49 | ($true = p @ (sK10 @ X49 @ (big_r @ X50))) <- {6} [superposition 258,2404] 126.57/124.69 4606. ($false = $true) | ($false = rel_s4 @ X57 @ X60) | ($false = rel_s4 @ X60 @ (sK10 @ X58 @ (big_r @ X59))) | ($false = exists_in_world @ X59 @ X57) | ($true != X58 @ (sK10 @ X58 @ (big_r @ X59))) | ($false = rel_s4 @ sK13 @ X57) | big_r @ X59 = X58 | ($true = p @ (sK10 @ X58 @ (big_r @ X59))) <- {6} [superposition 253,2404] 126.57/124.69 4610. 354 <=> ! [X48 : mu,X47 : ($i > $o)] : (($false = exists_in_world @ X48 @ (sK10 @ X47 @ (big_r @ X48))) | ($true = p @ (sK10 @ X47 @ (big_r @ X48))) | big_r @ X48 = X47 | ($false = rel_s4 @ sK13 @ (sK10 @ X47 @ (big_r @ X48))) | ($true != X47 @ (sK10 @ X47 @ (big_r @ X48)))) [avatar definition] 126.57/124.69 4612. 354 | 0 | ~6 [avatar split clause 4601,368,315,4610] 126.57/124.69 4614. 356 <=> ! [X55,X56 : ($i > $o),X58,X57 : mu] : (($false = exists_in_world @ X57 @ X55) | ($false = rel_s4 @ X58 @ (sK10 @ X56 @ (big_r @ X57))) | ($false = rel_s4 @ X55 @ X58) | ($true = p @ (sK10 @ X56 @ (big_r @ X57))) | big_r @ X57 = X56 | ($false = rel_s4 @ sK13 @ X55) | ($true != X56 @ (sK10 @ X56 @ (big_r @ X57)))) [avatar definition] 126.57/124.69 4616. 356 | 0 | ~6 [avatar split clause 4602,368,315,4614] 126.57/124.69 4617. 354 | 0 | ~6 [avatar split clause 4605,368,315,4610] 126.57/124.69 4618. 356 | 0 | ~6 [avatar split clause 4606,368,315,4614] 126.57/124.69 4619. ($false = $true) | ($false = exists_in_world @ X77 @ (sK10 @ (big_r @ X77) @ X78)) | ($true != X78 @ (sK10 @ (big_r @ X77) @ X78)) | ($false = rel_s4 @ sK13 @ (sK10 @ (big_r @ X77) @ X78)) | big_r @ X77 = X78 | ($true = p @ (sK10 @ (big_r @ X77) @ X78)) <- {6} [superposition 2427,258] 126.57/124.69 4620. ($false = $true) | ($false = exists_in_world @ X86 @ X85) | ($true != X87 @ (sK10 @ (big_r @ X86) @ X87)) | ($false = rel_s4 @ sK13 @ X85) | big_r @ X86 = X87 | ($true = p @ (sK10 @ (big_r @ X86) @ X87)) | ($false = rel_s4 @ X85 @ X88) | ($false = rel_s4 @ X88 @ (sK10 @ (big_r @ X86) @ X87)) <- {6} [superposition 2427,253] 126.57/124.69 4626. ($false = $true) | ($false = exists_in_world @ X86 @ (sK10 @ (big_r @ X86) @ X87)) | ($true != X87 @ (sK10 @ (big_r @ X86) @ X87)) | ($false = rel_s4 @ sK13 @ (sK10 @ (big_r @ X86) @ X87)) | big_r @ X86 = X87 | ($true = p @ (sK10 @ (big_r @ X86) @ X87)) <- {6} [superposition 258,2427] 126.57/124.69 4627. ($false = $true) | ($false = rel_s4 @ X94 @ X97) | ($false = rel_s4 @ X97 @ (sK10 @ (big_r @ X95) @ X96)) | ($false = exists_in_world @ X95 @ X94) | ($true != X96 @ (sK10 @ (big_r @ X95) @ X96)) | ($false = rel_s4 @ sK13 @ X94) | big_r @ X95 = X96 | ($true = p @ (sK10 @ (big_r @ X95) @ X96)) <- {6} [superposition 253,2427] 126.57/124.69 4635. 358 <=> ! [X77 : mu,X78 : ($i > $o)] : (($false = exists_in_world @ X77 @ (sK10 @ (big_r @ X77) @ X78)) | ($true = p @ (sK10 @ (big_r @ X77) @ X78)) | big_r @ X77 = X78 | ($false = rel_s4 @ sK13 @ (sK10 @ (big_r @ X77) @ X78)) | ($true != X78 @ (sK10 @ (big_r @ X77) @ X78))) [avatar definition] 126.57/124.69 4637. 358 | 0 | ~6 [avatar split clause 4619,368,315,4635] 126.57/124.69 4639. 360 <=> ! [X86 : mu,X85,X87 : ($i > $o),X88] : (($false = exists_in_world @ X86 @ X85) | ($false = rel_s4 @ X88 @ (sK10 @ (big_r @ X86) @ X87)) | ($false = rel_s4 @ X85 @ X88) | ($true = p @ (sK10 @ (big_r @ X86) @ X87)) | big_r @ X86 = X87 | ($false = rel_s4 @ sK13 @ X85) | ($true != X87 @ (sK10 @ (big_r @ X86) @ X87))) [avatar definition] 126.57/124.69 4641. 360 | 0 | ~6 [avatar split clause 4620,368,315,4639] 126.57/124.69 4642. 358 | 0 | ~6 [avatar split clause 4626,368,315,4635] 126.57/124.69 4643. 360 | 0 | ~6 [avatar split clause 4627,368,315,4639] 126.57/124.69 4644. ($false = $true) | ($false = exists_in_world @ X54 @ (sK10 @ X53 @ (big_r @ X54))) | big_r @ X54 = X53 | ($false = rel_s4 @ sK13 @ (sK10 @ X53 @ (big_r @ X54))) | ($false != big_r @ X54 @ (sK10 @ X53 @ (big_r @ X54))) | ($true = p @ (sK10 @ X53 @ (big_r @ X54))) <- {6} [superposition 2451,258] 126.57/124.69 4645. ($false = $true) | ($false = exists_in_world @ X63 @ X61) | big_r @ X63 = X62 | ($false = rel_s4 @ sK13 @ X61) | ($false != big_r @ X63 @ (sK10 @ X62 @ (big_r @ X63))) | ($true = p @ (sK10 @ X62 @ (big_r @ X63))) | ($false = rel_s4 @ X61 @ X64) | ($false = rel_s4 @ X64 @ (sK10 @ X62 @ (big_r @ X63))) <- {6} [superposition 2451,253] 126.57/124.69 4648. ($false = $true) | ($false = exists_in_world @ X56 @ (sK10 @ X55 @ (big_r @ X56))) | big_r @ X56 = X55 | ($false = rel_s4 @ sK13 @ (sK10 @ X55 @ (big_r @ X56))) | ($false != big_r @ X56 @ (sK10 @ X55 @ (big_r @ X56))) | ($true = p @ (sK10 @ X55 @ (big_r @ X56))) <- {6} [superposition 258,2451] 126.57/124.69 4649. ($false = $true) | ($false = rel_s4 @ X63 @ X66) | ($false = rel_s4 @ X66 @ (sK10 @ X64 @ (big_r @ X65))) | ($false = exists_in_world @ X65 @ X63) | big_r @ X65 = X64 | ($false = rel_s4 @ sK13 @ X63) | ($false != big_r @ X65 @ (sK10 @ X64 @ (big_r @ X65))) | ($true = p @ (sK10 @ X64 @ (big_r @ X65))) <- {6} [superposition 253,2451] 126.57/124.69 4653. 362 <=> ! [X53 : ($i > $o),X54 : mu] : (($false = exists_in_world @ X54 @ (sK10 @ X53 @ (big_r @ X54))) | ($true = p @ (sK10 @ X53 @ (big_r @ X54))) | ($false != big_r @ X54 @ (sK10 @ X53 @ (big_r @ X54))) | ($false = rel_s4 @ sK13 @ (sK10 @ X53 @ (big_r @ X54))) | big_r @ X54 = X53) [avatar definition] 126.57/124.69 4655. 362 | 0 | ~6 [avatar split clause 4644,368,315,4653] 126.57/124.69 4657. 364 <=> ! [X63 : mu,X62 : ($i > $o),X64,X61] : (($false = exists_in_world @ X63 @ X61) | ($false = rel_s4 @ X64 @ (sK10 @ X62 @ (big_r @ X63))) | ($false = rel_s4 @ X61 @ X64) | ($true = p @ (sK10 @ X62 @ (big_r @ X63))) | ($false != big_r @ X63 @ (sK10 @ X62 @ (big_r @ X63))) | ($false = rel_s4 @ sK13 @ X61) | big_r @ X63 = X62) [avatar definition] 126.57/124.69 4659. 364 | 0 | ~6 [avatar split clause 4645,368,315,4657] 126.57/124.69 4660. 362 | 0 | ~6 [avatar split clause 4648,368,315,4653] 126.57/124.69 4661. 364 | 0 | ~6 [avatar split clause 4649,368,315,4657] 126.57/124.69 4663. ($false = $true) | ($false = exists_in_world @ X2 @ X3) | ($false = rel_s4 @ X3 @ (sK10 @ (big_r @ X2) @ (big_q @ X2))) | ($false = rel_s4 @ sK13 @ X3) | big_r @ X2 = big_q @ X2 | ($true != big_r @ X2 @ (sK10 @ (big_r @ X2) @ (big_q @ X2))) | big_r @ X2 = big_q @ X2 | ($true != big_q @ X2 @ (sK10 @ (big_r @ X2) @ (big_q @ X2))) <- {6} [superposition 2471,342] 126.57/124.69 4664. ($false = $true) | big_r @ X0 = big_q @ X0 | ($true != big_q @ X0 @ (sK10 @ (big_r @ X0) @ (big_q @ X0))) | ($false = exists_in_world @ X0 @ X1) | ($false = rel_s4 @ X1 @ (sK10 @ (big_r @ X0) @ (big_q @ X0))) | ($false = rel_s4 @ sK13 @ X1) | big_r @ X0 = big_q @ X0 | ($true != big_r @ X0 @ (sK10 @ (big_r @ X0) @ (big_q @ X0))) <- {6} [superposition 342,2471] 126.57/124.69 4665. ($false = $true) | big_r @ X0 = big_q @ X0 | ($true != big_q @ X0 @ (sK10 @ (big_r @ X0) @ (big_q @ X0))) | ($false = exists_in_world @ X0 @ X1) | ($false = rel_s4 @ X1 @ (sK10 @ (big_r @ X0) @ (big_q @ X0))) | ($false = rel_s4 @ sK13 @ X1) | ($true != big_r @ X0 @ (sK10 @ (big_r @ X0) @ (big_q @ X0))) <- {6} [duplicate literal removal 4664] 126.57/124.69 4666. ($false = $true) | ($false = exists_in_world @ X2 @ X3) | ($false = rel_s4 @ X3 @ (sK10 @ (big_r @ X2) @ (big_q @ X2))) | ($false = rel_s4 @ sK13 @ X3) | big_r @ X2 = big_q @ X2 | ($true != big_r @ X2 @ (sK10 @ (big_r @ X2) @ (big_q @ X2))) | ($true != big_q @ X2 @ (sK10 @ (big_r @ X2) @ (big_q @ X2))) <- {6} [duplicate literal removal 4663] 126.57/124.69 4668. 366 <=> ! [X3,X2 : mu] : (($false = exists_in_world @ X2 @ X3) | ($true != big_q @ X2 @ (sK10 @ (big_r @ X2) @ (big_q @ X2))) | ($true != big_r @ X2 @ (sK10 @ (big_r @ X2) @ (big_q @ X2))) | big_r @ X2 = big_q @ X2 | ($false = rel_s4 @ sK13 @ X3) | ($false = rel_s4 @ X3 @ (sK10 @ (big_r @ X2) @ (big_q @ X2)))) [avatar definition] 126.57/124.69 4669. ($false = rel_s4 @ X3 @ (sK10 @ (big_r @ X2) @ (big_q @ X2))) | ($true != big_q @ X2 @ (sK10 @ (big_r @ X2) @ (big_q @ X2))) | ($true != big_r @ X2 @ (sK10 @ (big_r @ X2) @ (big_q @ X2))) | big_r @ X2 = big_q @ X2 | ($false = rel_s4 @ sK13 @ X3) | ($false = exists_in_world @ X2 @ X3) <- {366} [avatar component clause 4668] 126.57/124.69 4670. 366 | 0 | ~6 [avatar split clause 4666,368,315,4668] 126.57/124.69 4671. 366 | 0 | ~6 [avatar split clause 4665,368,315,4668] 126.57/124.69 4672. ($true != $true) | ($false = p @ sK19) <- {231} [fool paramodulation 3903] 126.57/124.69 4673. ($false = rel_s4 @ sK18 @ sK19) <- {132, 231} [unit resulting resolution 3903,2298] 126.57/124.69 4674. ($false = p @ sK19) <- {231} [trivial inequality removal 4672] 126.57/124.69 4679. 368 <=> ($false = p @ sK19) [avatar definition] 126.57/124.69 4681. 368 | 231 [avatar split clause 4674,3902,4679] 126.57/124.69 4683. 371 <=> ($false != rel_s4 @ sK18 @ sK19) [avatar definition] 126.57/124.69 4684. ($false != rel_s4 @ sK18 @ sK19) <- {371} [avatar component clause 4683] 126.57/124.69 4686. 370 <=> ($false = rel_s4 @ sK18 @ sK19) [avatar definition] 126.57/124.69 4687. ($false = rel_s4 @ sK18 @ sK19) <- {370} [avatar component clause 4686] 126.57/124.69 4688. 370 | ~132 | 231 [avatar split clause 4673,3902,2297,4686] 126.57/124.69 4698. ($false = $true) | ($true = p @ X6) | ($false = rel_s4 @ (sK10 @ X5 @ (big_r @ X4)) @ X6) | ($false = rel_s4 @ sK13 @ (sK10 @ X5 @ (big_r @ X4))) | ($true != X5 @ (sK10 @ X5 @ (big_r @ X4))) | big_r @ X4 = X5 | ($true != rel_s4 @ X7 @ (sK10 @ X5 @ (big_r @ X4))) | ($true != exists_in_world @ X4 @ X7) <- {144} [superposition 2409,206] 126.57/124.69 4700. ($false = $true) | ($true != rel_s4 @ X7 @ (sK10 @ X6 @ (big_r @ X5))) | ($true != exists_in_world @ X5 @ X7) | ($true = p @ X8) | ($false = rel_s4 @ (sK10 @ X6 @ (big_r @ X5)) @ X8) | ($false = rel_s4 @ sK13 @ (sK10 @ X6 @ (big_r @ X5))) | ($true != X6 @ (sK10 @ X6 @ (big_r @ X5))) | big_r @ X5 = X6 <- {144} [superposition 206,2409] 126.57/124.69 4703. 372 <=> ! [X5 : ($i > $o),X7,X4 : mu,X6] : (($true = p @ X6) | ($true != exists_in_world @ X4 @ X7) | ($true != rel_s4 @ X7 @ (sK10 @ X5 @ (big_r @ X4))) | big_r @ X4 = X5 | ($true != X5 @ (sK10 @ X5 @ (big_r @ X4))) | ($false = rel_s4 @ sK13 @ (sK10 @ X5 @ (big_r @ X4))) | ($false = rel_s4 @ (sK10 @ X5 @ (big_r @ X4)) @ X6)) [avatar definition] 126.57/124.69 4705. 372 | 0 | ~144 [avatar split clause 4698,2408,315,4703] 126.57/124.69 4706. 372 | 0 | ~144 [avatar split clause 4700,2408,315,4703] 126.57/124.69 4707. ($false = $true) | ($true = p @ X7) | ($false = rel_s4 @ (sK10 @ (big_r @ X5) @ X6) @ X7) | ($false = rel_s4 @ sK13 @ (sK10 @ (big_r @ X5) @ X6)) | ($true != X6 @ (sK10 @ (big_r @ X5) @ X6)) | big_r @ X5 = X6 | ($true != rel_s4 @ X8 @ (sK10 @ (big_r @ X5) @ X6)) | ($true != exists_in_world @ X5 @ X8) <- {148} [superposition 2436,206] 126.57/124.69 4710. ($false = $true) | ($true != rel_s4 @ X10 @ (sK10 @ (big_r @ X8) @ X9)) | ($true != exists_in_world @ X8 @ X10) | ($true = p @ X11) | ($false = rel_s4 @ (sK10 @ (big_r @ X8) @ X9) @ X11) | ($false = rel_s4 @ sK13 @ (sK10 @ (big_r @ X8) @ X9)) | ($true != X9 @ (sK10 @ (big_r @ X8) @ X9)) | big_r @ X8 = X9 <- {148} [superposition 206,2436] 126.57/124.69 4714. 374 <=> ! [X5 : mu,X7,X8,X6 : ($i > $o)] : (($true = p @ X7) | ($true != exists_in_world @ X5 @ X8) | ($true != rel_s4 @ X8 @ (sK10 @ (big_r @ X5) @ X6)) | big_r @ X5 = X6 | ($true != X6 @ (sK10 @ (big_r @ X5) @ X6)) | ($false = rel_s4 @ sK13 @ (sK10 @ (big_r @ X5) @ X6)) | ($false = rel_s4 @ (sK10 @ (big_r @ X5) @ X6) @ X7)) [avatar definition] 126.57/124.69 4716. 374 | 0 | ~148 [avatar split clause 4707,2435,315,4714] 126.57/124.69 4717. 374 | 0 | ~148 [avatar split clause 4710,2435,315,4714] 126.57/124.69 4719. ($false = $true) | big_r @ X68 = X67 | ($false = rel_s4 @ X69 @ X66) | ($true = p @ X70) | ($false = rel_s4 @ X69 @ X70) | ($false = rel_s4 @ sK13 @ X69) | ($true != X67 @ (sK10 @ X67 @ (big_r @ X68))) | ($false = exists_in_world @ X68 @ X69) | ($false = rel_s4 @ X66 @ X71) | ($false = rel_s4 @ X71 @ (sK10 @ X67 @ (big_r @ X68))) <- {146} [superposition 2413,253] 126.57/124.69 4723. ($false = $true) | ($false = rel_s4 @ X72 @ X75) | ($false = rel_s4 @ X75 @ (sK10 @ X73 @ (big_r @ X74))) | big_r @ X74 = X73 | ($false = rel_s4 @ X76 @ X72) | ($true = p @ X77) | ($false = rel_s4 @ X76 @ X77) | ($false = rel_s4 @ sK13 @ X76) | ($true != X73 @ (sK10 @ X73 @ (big_r @ X74))) | ($false = exists_in_world @ X74 @ X76) <- {146} [superposition 253,2413] 126.57/124.69 4733. 376 <=> ! [X67 : ($i > $o),X69,X71,X66,X68 : mu,X70] : (big_r @ X68 = X67 | ($false = rel_s4 @ X71 @ (sK10 @ X67 @ (big_r @ X68))) | ($false = rel_s4 @ X66 @ X71) | ($false = exists_in_world @ X68 @ X69) | ($true != X67 @ (sK10 @ X67 @ (big_r @ X68))) | ($false = rel_s4 @ X69 @ X66) | ($false = rel_s4 @ sK13 @ X69) | ($false = rel_s4 @ X69 @ X70) | ($true = p @ X70)) [avatar definition] 126.57/124.69 4735. 376 | 0 | ~146 [avatar split clause 4719,2412,315,4733] 126.57/124.69 4736. 376 | 0 | ~146 [avatar split clause 4723,2412,315,4733] 126.57/124.69 4738. ($false = $true) | big_r @ X97 = X98 | ($false = rel_s4 @ X99 @ X96) | ($true = p @ X100) | ($false = rel_s4 @ X99 @ X100) | ($false = rel_s4 @ sK13 @ X99) | ($true != X98 @ (sK10 @ (big_r @ X97) @ X98)) | ($false = exists_in_world @ X97 @ X99) | ($false = rel_s4 @ X96 @ X101) | ($false = rel_s4 @ X101 @ (sK10 @ (big_r @ X97) @ X98)) <- {150} [superposition 2440,253] 126.57/124.69 4745. ($false = $true) | ($false = rel_s4 @ X115 @ X118) | ($false = rel_s4 @ X118 @ (sK10 @ (big_r @ X116) @ X117)) | big_r @ X116 = X117 | ($false = rel_s4 @ X119 @ X115) | ($true = p @ X120) | ($false = rel_s4 @ X119 @ X120) | ($false = rel_s4 @ sK13 @ X119) | ($true != X117 @ (sK10 @ (big_r @ X116) @ X117)) | ($false = exists_in_world @ X116 @ X119) <- {150} [superposition 253,2440] 126.57/124.69 4759. 378 <=> ! [X96,X98 : ($i > $o),X100,X97 : mu,X99,X101] : (big_r @ X97 = X98 | ($false = rel_s4 @ X101 @ (sK10 @ (big_r @ X97) @ X98)) | ($false = rel_s4 @ X96 @ X101) | ($false = exists_in_world @ X97 @ X99) | ($true != X98 @ (sK10 @ (big_r @ X97) @ X98)) | ($false = rel_s4 @ X99 @ X96) | ($false = rel_s4 @ sK13 @ X99) | ($false = rel_s4 @ X99 @ X100) | ($true = p @ X100)) (HD) [avatar definition] 126.57/124.69 4761. 378 | 0 | ~150 [avatar split clause 4738,2439,315,4759] 126.57/124.69 4762. 378 | 0 | ~150 [avatar split clause 4745,2439,315,4759] 126.57/124.69 4763. ($false = $true) | ($true = p @ X9) | ($false = rel_s4 @ (sK10 @ X8 @ (big_r @ X7)) @ X9) | ($false = rel_s4 @ sK13 @ (sK10 @ X8 @ (big_r @ X7))) | big_r @ X7 = X8 | ($false != big_r @ X7 @ (sK10 @ X8 @ (big_r @ X7))) | ($true != rel_s4 @ X10 @ (sK10 @ X8 @ (big_r @ X7))) | ($true != exists_in_world @ X7 @ X10) <- {152} [superposition 2456,206] 126.57/124.69 4765. ($false = $true) | ($true != rel_s4 @ X10 @ (sK10 @ X9 @ (big_r @ X8))) | ($true != exists_in_world @ X8 @ X10) | ($true = p @ X11) | ($false = rel_s4 @ (sK10 @ X9 @ (big_r @ X8)) @ X11) | ($false = rel_s4 @ sK13 @ (sK10 @ X9 @ (big_r @ X8))) | big_r @ X8 = X9 | ($false != big_r @ X8 @ (sK10 @ X9 @ (big_r @ X8))) <- {152} [superposition 206,2456] 126.57/124.69 4768. 380 <=> ! [X9,X7 : mu,X8 : ($i > $o),X10] : (($true = p @ X9) | ($true != exists_in_world @ X7 @ X10) | ($true != rel_s4 @ X10 @ (sK10 @ X8 @ (big_r @ X7))) | ($false != big_r @ X7 @ (sK10 @ X8 @ (big_r @ X7))) | big_r @ X7 = X8 | ($false = rel_s4 @ sK13 @ (sK10 @ X8 @ (big_r @ X7))) | ($false = rel_s4 @ (sK10 @ X8 @ (big_r @ X7)) @ X9)) [avatar definition] 126.57/124.69 4770. 380 | 0 | ~152 [avatar split clause 4763,2455,315,4768] 126.57/124.69 4771. 380 | 0 | ~152 [avatar split clause 4765,2455,315,4768] 126.57/124.69 4772. ($false = $true) | ($true != X6 @ (sK10 @ X6 @ (big_q @ X5))) | ($true = big_r @ X5 @ X7) | ($false = rel_s4 @ sK13 @ (sK10 @ X6 @ (big_q @ X5))) | ($false = rel_s4 @ (sK10 @ X6 @ (big_q @ X5)) @ X7) | big_q @ X5 = X6 | ($true != rel_s4 @ X8 @ (sK10 @ X6 @ (big_q @ X5))) | ($true != exists_in_world @ X5 @ X8) <- {156} [superposition 2476,206] 126.57/124.69 4774. ($false = $true) | ($true != rel_s4 @ X8 @ (sK10 @ X7 @ (big_q @ X6))) | ($true != exists_in_world @ X6 @ X8) | ($true != X7 @ (sK10 @ X7 @ (big_q @ X6))) | ($true = big_r @ X6 @ X9) | ($false = rel_s4 @ sK13 @ (sK10 @ X7 @ (big_q @ X6))) | ($false = rel_s4 @ (sK10 @ X7 @ (big_q @ X6)) @ X9) | big_q @ X6 = X7 <- {156} [superposition 206,2476] 126.57/124.69 4777. 382 <=> ! [X5 : mu,X7,X8,X6 : ($i > $o)] : (($true != X6 @ (sK10 @ X6 @ (big_q @ X5))) | ($true != exists_in_world @ X5 @ X8) | ($true != rel_s4 @ X8 @ (sK10 @ X6 @ (big_q @ X5))) | big_q @ X5 = X6 | ($false = rel_s4 @ (sK10 @ X6 @ (big_q @ X5)) @ X7) | ($false = rel_s4 @ sK13 @ (sK10 @ X6 @ (big_q @ X5))) | ($true = big_r @ X5 @ X7)) [avatar definition] 126.57/124.69 4778. ($false = rel_s4 @ sK13 @ (sK10 @ X6 @ (big_q @ X5))) | ($true != exists_in_world @ X5 @ X8) | ($true != rel_s4 @ X8 @ (sK10 @ X6 @ (big_q @ X5))) | big_q @ X5 = X6 | ($false = rel_s4 @ (sK10 @ X6 @ (big_q @ X5)) @ X7) | ($true != X6 @ (sK10 @ X6 @ (big_q @ X5))) | ($true = big_r @ X5 @ X7) <- {382} [avatar component clause 4777] 126.57/124.69 4779. 382 | 0 | ~156 [avatar split clause 4772,2475,315,4777] 126.57/124.69 4780. 382 | 0 | ~156 [avatar split clause 4774,2475,315,4777] 126.57/124.69 4782. ($false = $true) | ($true != X8 @ (sK10 @ (big_q @ X7) @ X8)) | ($true = big_r @ X7 @ X9) | ($false = rel_s4 @ sK13 @ (sK10 @ (big_q @ X7) @ X8)) | ($false = rel_s4 @ (sK10 @ (big_q @ X7) @ X8) @ X9) | big_q @ X7 = X8 | ($true != rel_s4 @ X10 @ (sK10 @ (big_q @ X7) @ X8)) | ($true != exists_in_world @ X7 @ X10) <- {160} [superposition 2503,206] 126.57/124.69 4785. ($false = $true) | ($true != rel_s4 @ X12 @ (sK10 @ (big_q @ X10) @ X11)) | ($true != exists_in_world @ X10 @ X12) | ($true != X11 @ (sK10 @ (big_q @ X10) @ X11)) | ($true = big_r @ X10 @ X13) | ($false = rel_s4 @ sK13 @ (sK10 @ (big_q @ X10) @ X11)) | ($false = rel_s4 @ (sK10 @ (big_q @ X10) @ X11) @ X13) | big_q @ X10 = X11 <- {160} [superposition 206,2503] 126.57/124.69 4789. 384 <=> ! [X9,X7 : mu,X8 : ($i > $o),X10] : (($true != X8 @ (sK10 @ (big_q @ X7) @ X8)) | ($true != exists_in_world @ X7 @ X10) | ($true != rel_s4 @ X10 @ (sK10 @ (big_q @ X7) @ X8)) | big_q @ X7 = X8 | ($false = rel_s4 @ (sK10 @ (big_q @ X7) @ X8) @ X9) | ($false = rel_s4 @ sK13 @ (sK10 @ (big_q @ X7) @ X8)) | ($true = big_r @ X7 @ X9)) [avatar definition] 126.57/124.69 4790. ($false = rel_s4 @ sK13 @ (sK10 @ (big_q @ X7) @ X8)) | ($true != exists_in_world @ X7 @ X10) | ($true != rel_s4 @ X10 @ (sK10 @ (big_q @ X7) @ X8)) | big_q @ X7 = X8 | ($false = rel_s4 @ (sK10 @ (big_q @ X7) @ X8) @ X9) | ($true != X8 @ (sK10 @ (big_q @ X7) @ X8)) | ($true = big_r @ X7 @ X9) <- {384} [avatar component clause 4789] 126.57/124.69 4791. 384 | 0 | ~160 [avatar split clause 4782,2502,315,4789] 126.57/124.69 4792. 384 | 0 | ~160 [avatar split clause 4785,2502,315,4789] 126.57/124.69 4794. ($false = $true) | ($false != big_r @ X74 @ (sK10 @ X73 @ (big_r @ X74))) | ($false = rel_s4 @ X75 @ X72) | ($true = p @ X76) | ($false = rel_s4 @ X75 @ X76) | ($false = rel_s4 @ sK13 @ X75) | big_r @ X74 = X73 | ($false = exists_in_world @ X74 @ X75) | ($false = rel_s4 @ X72 @ X77) | ($false = rel_s4 @ X77 @ (sK10 @ X73 @ (big_r @ X74))) <- {154} [superposition 2460,253] 126.57/124.69 4798. ($false = $true) | ($false = rel_s4 @ X78 @ X81) | ($false = rel_s4 @ X81 @ (sK10 @ X79 @ (big_r @ X80))) | ($false != big_r @ X80 @ (sK10 @ X79 @ (big_r @ X80))) | ($false = rel_s4 @ X82 @ X78) | ($true = p @ X83) | ($false = rel_s4 @ X82 @ X83) | ($false = rel_s4 @ sK13 @ X82) | big_r @ X80 = X79 | ($false = exists_in_world @ X80 @ X82) <- {154} [superposition 253,2460] 126.57/124.69 4808. 386 <=> ! [X73 : ($i > $o),X75,X77,X72,X74 : mu,X76] : (($false != big_r @ X74 @ (sK10 @ X73 @ (big_r @ X74))) | ($false = rel_s4 @ X77 @ (sK10 @ X73 @ (big_r @ X74))) | ($false = rel_s4 @ X72 @ X77) | ($false = exists_in_world @ X74 @ X75) | big_r @ X74 = X73 | ($false = rel_s4 @ X75 @ X72) | ($false = rel_s4 @ sK13 @ X75) | ($false = rel_s4 @ X75 @ X76) | ($true = p @ X76)) [avatar definition] 126.57/124.69 4810. 386 | 0 | ~154 [avatar split clause 4794,2459,315,4808] 126.57/124.69 4811. 386 | 0 | ~154 [avatar split clause 4798,2459,315,4808] 126.57/124.69 4813. ($false = $true) | big_q @ X65 = X64 | ($false = rel_s4 @ X66 @ X63) | ($true != X64 @ (sK10 @ X64 @ (big_q @ X65))) | ($true = big_r @ X65 @ X67) | ($false = rel_s4 @ sK13 @ X66) | ($false = rel_s4 @ X66 @ X67) | ($false = exists_in_world @ X65 @ X66) | ($false = rel_s4 @ X63 @ X68) | ($false = rel_s4 @ X68 @ (sK10 @ X64 @ (big_q @ X65))) <- {158} [superposition 2480,253] 126.57/124.69 4817. ($false = $true) | ($false = rel_s4 @ X69 @ X72) | ($false = rel_s4 @ X72 @ (sK10 @ X70 @ (big_q @ X71))) | big_q @ X71 = X70 | ($false = rel_s4 @ X73 @ X69) | ($true != X70 @ (sK10 @ X70 @ (big_q @ X71))) | ($true = big_r @ X71 @ X74) | ($false = rel_s4 @ sK13 @ X73) | ($false = rel_s4 @ X73 @ X74) | ($false = exists_in_world @ X71 @ X73) <- {158} [superposition 253,2480] 126.57/124.69 4827. 388 <=> ! [X63,X65 : mu,X67,X64 : ($i > $o),X66,X68] : (big_q @ X65 = X64 | ($false = rel_s4 @ X68 @ (sK10 @ X64 @ (big_q @ X65))) | ($false = rel_s4 @ X63 @ X68) | ($false = exists_in_world @ X65 @ X66) | ($true = big_r @ X65 @ X67) | ($true != X64 @ (sK10 @ X64 @ (big_q @ X65))) | ($false = rel_s4 @ X66 @ X63) | ($false = rel_s4 @ X66 @ X67) | ($false = rel_s4 @ sK13 @ X66)) [avatar definition] 126.57/124.69 4828. ($false = rel_s4 @ X68 @ (sK10 @ X64 @ (big_q @ X65))) | big_q @ X65 = X64 | ($false = rel_s4 @ X63 @ X68) | ($false = exists_in_world @ X65 @ X66) | ($true = big_r @ X65 @ X67) | ($true != X64 @ (sK10 @ X64 @ (big_q @ X65))) | ($false = rel_s4 @ X66 @ X63) | ($false = rel_s4 @ X66 @ X67) | ($false = rel_s4 @ sK13 @ X66) <- {388} [avatar component clause 4827] 126.57/124.69 4829. 388 | 0 | ~158 [avatar split clause 4813,2479,315,4827] 126.57/124.69 4830. 388 | 0 | ~158 [avatar split clause 4817,2479,315,4827] 126.57/124.69 4832. ($false = $true) | big_q @ X100 = X101 | ($false = rel_s4 @ X102 @ X99) | ($true != X101 @ (sK10 @ (big_q @ X100) @ X101)) | ($true = big_r @ X100 @ X103) | ($false = rel_s4 @ sK13 @ X102) | ($false = rel_s4 @ X102 @ X103) | ($false = exists_in_world @ X100 @ X102) | ($false = rel_s4 @ X99 @ X104) | ($false = rel_s4 @ X104 @ (sK10 @ (big_q @ X100) @ X101)) <- {162} [superposition 2507,253] 126.57/124.69 4839. ($false = $true) | ($false = rel_s4 @ X118 @ X121) | ($false = rel_s4 @ X121 @ (sK10 @ (big_q @ X119) @ X120)) | big_q @ X119 = X120 | ($false = rel_s4 @ X122 @ X118) | ($true != X120 @ (sK10 @ (big_q @ X119) @ X120)) | ($true = big_r @ X119 @ X123) | ($false = rel_s4 @ sK13 @ X122) | ($false = rel_s4 @ X122 @ X123) | ($false = exists_in_world @ X119 @ X122) <- {162} [superposition 253,2507] 126.57/124.69 4853. 390 <=> ! [X104,X100 : mu,X102,X99,X101 : ($i > $o),X103] : (big_q @ X100 = X101 | ($false = rel_s4 @ X104 @ (sK10 @ (big_q @ X100) @ X101)) | ($false = rel_s4 @ X99 @ X104) | ($false = exists_in_world @ X100 @ X102) | ($true = big_r @ X100 @ X103) | ($true != X101 @ (sK10 @ (big_q @ X100) @ X101)) | ($false = rel_s4 @ X102 @ X99) | ($false = rel_s4 @ X102 @ X103) | ($false = rel_s4 @ sK13 @ X102)) [avatar definition] 126.57/124.69 4854. ($false = rel_s4 @ X104 @ (sK10 @ (big_q @ X100) @ X101)) | big_q @ X100 = X101 | ($false = rel_s4 @ X99 @ X104) | ($false = exists_in_world @ X100 @ X102) | ($true = big_r @ X100 @ X103) | ($true != X101 @ (sK10 @ (big_q @ X100) @ X101)) | ($false = rel_s4 @ X102 @ X99) | ($false = rel_s4 @ X102 @ X103) | ($false = rel_s4 @ sK13 @ X102) <- {390} [avatar component clause 4853] 126.57/124.69 4855. 390 | 0 | ~162 [avatar split clause 4832,2506,315,4853] 126.57/124.69 4856. 390 | 0 | ~162 [avatar split clause 4839,2506,315,4853] 126.57/124.69 4857. ($false = $true) | big_q @ X8 = X9 | ($true = big_r @ X8 @ X10) | ($false = rel_s4 @ sK13 @ (sK10 @ X9 @ (big_q @ X8))) | ($false = rel_s4 @ (sK10 @ X9 @ (big_q @ X8)) @ X10) | ($false != big_q @ X8 @ (sK10 @ X9 @ (big_q @ X8))) | ($true != rel_s4 @ X11 @ (sK10 @ X9 @ (big_q @ X8))) | ($true != exists_in_world @ X8 @ X11) <- {164} [superposition 2523,206] 126.57/124.69 4859. ($false = $true) | ($true != rel_s4 @ X11 @ (sK10 @ X10 @ (big_q @ X9))) | ($true != exists_in_world @ X9 @ X11) | big_q @ X9 = X10 | ($true = big_r @ X9 @ X12) | ($false = rel_s4 @ sK13 @ (sK10 @ X10 @ (big_q @ X9))) | ($false = rel_s4 @ (sK10 @ X10 @ (big_q @ X9)) @ X12) | ($false != big_q @ X9 @ (sK10 @ X10 @ (big_q @ X9))) <- {164} [superposition 206,2523] 126.57/124.69 4862. 392 <=> ! [X9 : ($i > $o),X11,X8 : mu,X10] : (big_q @ X8 = X9 | ($true != exists_in_world @ X8 @ X11) | ($true != rel_s4 @ X11 @ (sK10 @ X9 @ (big_q @ X8))) | ($false != big_q @ X8 @ (sK10 @ X9 @ (big_q @ X8))) | ($false = rel_s4 @ (sK10 @ X9 @ (big_q @ X8)) @ X10) | ($false = rel_s4 @ sK13 @ (sK10 @ X9 @ (big_q @ X8))) | ($true = big_r @ X8 @ X10)) [avatar definition] 126.57/124.69 4863. ($false = rel_s4 @ sK13 @ (sK10 @ X9 @ (big_q @ X8))) | ($true != exists_in_world @ X8 @ X11) | ($true != rel_s4 @ X11 @ (sK10 @ X9 @ (big_q @ X8))) | ($false != big_q @ X8 @ (sK10 @ X9 @ (big_q @ X8))) | ($false = rel_s4 @ (sK10 @ X9 @ (big_q @ X8)) @ X10) | big_q @ X8 = X9 | ($true = big_r @ X8 @ X10) <- {392} [avatar component clause 4862] 126.57/124.69 4864. 392 | 0 | ~164 [avatar split clause 4857,2522,315,4862] 126.57/124.69 4865. 392 | 0 | ~164 [avatar split clause 4859,2522,315,4862] 126.57/124.69 4866. ($false = $true) | ($false = exists_in_world @ X41 @ (sK10 @ (big_r @ X41) @ (rel_s4 @ X42))) | rel_s4 @ X42 = big_r @ X41 | ($false = rel_s4 @ sK13 @ (sK10 @ (big_r @ X41) @ (rel_s4 @ X42))) | ($false != big_r @ X41 @ (sK10 @ (big_r @ X41) @ (rel_s4 @ X42))) | ($true = p @ (sK10 @ (big_r @ X41) @ (rel_s4 @ X42))) <- {6} [superposition 2576,258] 126.57/124.69 4867. ($false = $true) | ($false = exists_in_world @ X50 @ X49) | rel_s4 @ X51 = big_r @ X50 | ($false = rel_s4 @ sK13 @ X49) | ($false != big_r @ X50 @ (sK10 @ (big_r @ X50) @ (rel_s4 @ X51))) | ($true = p @ (sK10 @ (big_r @ X50) @ (rel_s4 @ X51))) | ($false = rel_s4 @ X49 @ X52) | ($false = rel_s4 @ X52 @ (sK10 @ (big_r @ X50) @ (rel_s4 @ X51))) <- {6} [superposition 2576,253] 126.57/124.69 4871. ($false = $true) | ($false = exists_in_world @ X44 @ (sK10 @ (big_r @ X44) @ (rel_s4 @ X45))) | rel_s4 @ X45 = big_r @ X44 | ($false = rel_s4 @ sK13 @ (sK10 @ (big_r @ X44) @ (rel_s4 @ X45))) | ($false != big_r @ X44 @ (sK10 @ (big_r @ X44) @ (rel_s4 @ X45))) | ($true = p @ (sK10 @ (big_r @ X44) @ (rel_s4 @ X45))) <- {6} [superposition 258,2576] 126.57/124.69 4872. ($false = $true) | ($false = rel_s4 @ X52 @ X55) | ($false = rel_s4 @ X55 @ (sK10 @ (big_r @ X53) @ (rel_s4 @ X54))) | ($false = exists_in_world @ X53 @ X52) | rel_s4 @ X54 = big_r @ X53 | ($false = rel_s4 @ sK13 @ X52) | ($false != big_r @ X53 @ (sK10 @ (big_r @ X53) @ (rel_s4 @ X54))) | ($true = p @ (sK10 @ (big_r @ X53) @ (rel_s4 @ X54))) <- {6} [superposition 253,2576] 126.57/124.69 4878. 394 <=> ! [X42,X41 : mu] : (($false = exists_in_world @ X41 @ (sK10 @ (big_r @ X41) @ (rel_s4 @ X42))) | ($true = p @ (sK10 @ (big_r @ X41) @ (rel_s4 @ X42))) | ($false != big_r @ X41 @ (sK10 @ (big_r @ X41) @ (rel_s4 @ X42))) | ($false = rel_s4 @ sK13 @ (sK10 @ (big_r @ X41) @ (rel_s4 @ X42))) | rel_s4 @ X42 = big_r @ X41) [avatar definition] 126.57/124.69 4880. 394 | 0 | ~6 [avatar split clause 4866,368,315,4878] 126.57/124.69 4882. 396 <=> ! [X49,X51,X50 : mu,X52] : (($false = exists_in_world @ X50 @ X49) | ($false = rel_s4 @ X52 @ (sK10 @ (big_r @ X50) @ (rel_s4 @ X51))) | ($false = rel_s4 @ X49 @ X52) | ($true = p @ (sK10 @ (big_r @ X50) @ (rel_s4 @ X51))) | ($false != big_r @ X50 @ (sK10 @ (big_r @ X50) @ (rel_s4 @ X51))) | ($false = rel_s4 @ sK13 @ X49) | rel_s4 @ X51 = big_r @ X50) [avatar definition] 126.57/124.69 4884. 396 | 0 | ~6 [avatar split clause 4867,368,315,4882] 126.57/124.69 4885. 394 | 0 | ~6 [avatar split clause 4871,368,315,4878] 126.57/124.69 4886. 396 | 0 | ~6 [avatar split clause 4872,368,315,4882] 126.57/124.69 4887. ($false = $true) | ($false = exists_in_world @ X39 @ (sK10 @ (big_r @ X39) @ (exists_in_world @ X40))) | exists_in_world @ X40 = big_r @ X39 | ($false = rel_s4 @ sK13 @ (sK10 @ (big_r @ X39) @ (exists_in_world @ X40))) | ($false != big_r @ X39 @ (sK10 @ (big_r @ X39) @ (exists_in_world @ X40))) | ($true = p @ (sK10 @ (big_r @ X39) @ (exists_in_world @ X40))) <- {6} [superposition 2598,258] 126.57/124.69 4888. ($false = $true) | ($false = exists_in_world @ X48 @ X47) | exists_in_world @ X49 = big_r @ X48 | ($false = rel_s4 @ sK13 @ X47) | ($false != big_r @ X48 @ (sK10 @ (big_r @ X48) @ (exists_in_world @ X49))) | ($true = p @ (sK10 @ (big_r @ X48) @ (exists_in_world @ X49))) | ($false = rel_s4 @ X47 @ X50) | ($false = rel_s4 @ X50 @ (sK10 @ (big_r @ X48) @ (exists_in_world @ X49))) <- {6} [superposition 2598,253] 126.57/124.69 4891. ($false = $true) | ($false = exists_in_world @ X42 @ (sK10 @ (big_r @ X42) @ (exists_in_world @ X43))) | exists_in_world @ X43 = big_r @ X42 | ($false = rel_s4 @ sK13 @ (sK10 @ (big_r @ X42) @ (exists_in_world @ X43))) | ($false != big_r @ X42 @ (sK10 @ (big_r @ X42) @ (exists_in_world @ X43))) | ($true = p @ (sK10 @ (big_r @ X42) @ (exists_in_world @ X43))) <- {6} [superposition 258,2598] 126.57/124.69 4892. ($false = $true) | ($false = rel_s4 @ X50 @ X53) | ($false = rel_s4 @ X53 @ (sK10 @ (big_r @ X51) @ (exists_in_world @ X52))) | ($false = exists_in_world @ X51 @ X50) | exists_in_world @ X52 = big_r @ X51 | ($false = rel_s4 @ sK13 @ X50) | ($false != big_r @ X51 @ (sK10 @ (big_r @ X51) @ (exists_in_world @ X52))) | ($true = p @ (sK10 @ (big_r @ X51) @ (exists_in_world @ X52))) <- {6} [superposition 253,2598] 126.57/124.69 4896. 398 <=> ! [X40 : mu,X39 : mu] : (($false = exists_in_world @ X39 @ (sK10 @ (big_r @ X39) @ (exists_in_world @ X40))) | ($true = p @ (sK10 @ (big_r @ X39) @ (exists_in_world @ X40))) | ($false != big_r @ X39 @ (sK10 @ (big_r @ X39) @ (exists_in_world @ X40))) | ($false = rel_s4 @ sK13 @ (sK10 @ (big_r @ X39) @ (exists_in_world @ X40))) | exists_in_world @ X40 = big_r @ X39) [avatar definition] 126.57/124.69 4898. 398 | 0 | ~6 [avatar split clause 4887,368,315,4896] 126.57/124.69 4900. 400 <=> ! [X49 : mu,X48 : mu,X50,X47] : (($false = exists_in_world @ X48 @ X47) | ($false = rel_s4 @ X50 @ (sK10 @ (big_r @ X48) @ (exists_in_world @ X49))) | ($false = rel_s4 @ X47 @ X50) | ($true = p @ (sK10 @ (big_r @ X48) @ (exists_in_world @ X49))) | ($false != big_r @ X48 @ (sK10 @ (big_r @ X48) @ (exists_in_world @ X49))) | ($false = rel_s4 @ sK13 @ X47) | exists_in_world @ X49 = big_r @ X48) (HD) [avatar definition] 126.57/124.69 4902. 400 | 0 | ~6 [avatar split clause 4888,368,315,4900] 126.57/124.69 4903. 398 | 0 | ~6 [avatar split clause 4891,368,315,4896] 126.57/124.69 4904. 400 | 0 | ~6 [avatar split clause 4892,368,315,4900] 126.57/124.69 4906. ($false = $true) | ($false != big_q @ X71 @ (sK10 @ X70 @ (big_q @ X71))) | ($false = rel_s4 @ X72 @ X69) | big_q @ X71 = X70 | ($true = big_r @ X71 @ X73) | ($false = rel_s4 @ sK13 @ X72) | ($false = rel_s4 @ X72 @ X73) | ($false = exists_in_world @ X71 @ X72) | ($false = rel_s4 @ X69 @ X74) | ($false = rel_s4 @ X74 @ (sK10 @ X70 @ (big_q @ X71))) <- {166} [superposition 2527,253] 126.57/124.69 4910. ($false = $true) | ($false = rel_s4 @ X75 @ X78) | ($false = rel_s4 @ X78 @ (sK10 @ X76 @ (big_q @ X77))) | ($false != big_q @ X77 @ (sK10 @ X76 @ (big_q @ X77))) | ($false = rel_s4 @ X79 @ X75) | big_q @ X77 = X76 | ($true = big_r @ X77 @ X80) | ($false = rel_s4 @ sK13 @ X79) | ($false = rel_s4 @ X79 @ X80) | ($false = exists_in_world @ X77 @ X79) <- {166} [superposition 253,2527] 126.57/124.69 4920. 402 <=> ! [X73,X69,X71 : mu,X72,X74,X70 : ($i > $o)] : (($false != big_q @ X71 @ (sK10 @ X70 @ (big_q @ X71))) | ($false = rel_s4 @ X74 @ (sK10 @ X70 @ (big_q @ X71))) | ($false = rel_s4 @ X69 @ X74) | ($false = exists_in_world @ X71 @ X72) | ($true = big_r @ X71 @ X73) | big_q @ X71 = X70 | ($false = rel_s4 @ X72 @ X69) | ($false = rel_s4 @ X72 @ X73) | ($false = rel_s4 @ sK13 @ X72)) [avatar definition] 126.57/124.69 4921. ($false = rel_s4 @ X74 @ (sK10 @ X70 @ (big_q @ X71))) | ($false != big_q @ X71 @ (sK10 @ X70 @ (big_q @ X71))) | ($false = rel_s4 @ X69 @ X74) | ($false = exists_in_world @ X71 @ X72) | ($true = big_r @ X71 @ X73) | big_q @ X71 = X70 | ($false = rel_s4 @ X72 @ X69) | ($false = rel_s4 @ X72 @ X73) | ($false = rel_s4 @ sK13 @ X72) <- {402} [avatar component clause 4920] 126.57/124.69 4922. 402 | 0 | ~166 [avatar split clause 4906,2526,315,4920] 126.57/124.69 4923. 402 | 0 | ~166 [avatar split clause 4910,2526,315,4920] 126.57/124.69 4928. ($false = $true) | ($false != big_r @ X55 @ (sK10 @ (big_r @ X55) @ (rel_s4 @ X56))) | ($false = rel_s4 @ X57 @ X54) | ($true = p @ X58) | ($false = rel_s4 @ X57 @ X58) | ($false = rel_s4 @ sK13 @ X57) | rel_s4 @ X56 = big_r @ X55 | ($false = exists_in_world @ X55 @ X57) | ($false = rel_s4 @ X54 @ X59) | ($false = rel_s4 @ X59 @ (sK10 @ (big_r @ X55) @ (rel_s4 @ X56))) <- {178} [superposition 2587,253] 126.57/124.69 4933. ($false = $true) | ($false = rel_s4 @ X63 @ X66) | ($false = rel_s4 @ X66 @ (sK10 @ (big_r @ X64) @ (rel_s4 @ X65))) | ($false != big_r @ X64 @ (sK10 @ (big_r @ X64) @ (rel_s4 @ X65))) | ($false = rel_s4 @ X67 @ X63) | ($true = p @ X68) | ($false = rel_s4 @ X67 @ X68) | ($false = rel_s4 @ sK13 @ X67) | rel_s4 @ X65 = big_r @ X64 | ($false = exists_in_world @ X64 @ X67) <- {178} [superposition 253,2587] 126.57/124.69 4945. 404 <=> ! [X55 : mu,X56,X58,X54,X57,X59] : (($false != big_r @ X55 @ (sK10 @ (big_r @ X55) @ (rel_s4 @ X56))) | ($false = rel_s4 @ X59 @ (sK10 @ (big_r @ X55) @ (rel_s4 @ X56))) | ($false = rel_s4 @ X54 @ X59) | ($false = exists_in_world @ X55 @ X57) | rel_s4 @ X56 = big_r @ X55 | ($false = rel_s4 @ X57 @ X54) | ($false = rel_s4 @ sK13 @ X57) | ($false = rel_s4 @ X57 @ X58) | ($true = p @ X58)) [avatar definition] 126.57/124.69 4947. 404 | 0 | ~178 [avatar split clause 4928,2586,315,4945] 126.57/124.69 4948. 404 | 0 | ~178 [avatar split clause 4933,2586,315,4945] 126.57/124.69 4950. ($false = $true) | ($false != big_r @ X53 @ (sK10 @ (big_r @ X53) @ (exists_in_world @ X54))) | ($false = rel_s4 @ X55 @ X52) | ($true = p @ X56) | ($false = rel_s4 @ X55 @ X56) | ($false = rel_s4 @ sK13 @ X55) | exists_in_world @ X54 = big_r @ X53 | ($false = exists_in_world @ X53 @ X55) | ($false = rel_s4 @ X52 @ X57) | ($false = rel_s4 @ X57 @ (sK10 @ (big_r @ X53) @ (exists_in_world @ X54))) <- {182} [superposition 2607,253] 126.57/124.69 4954. ($false = $true) | ($false = rel_s4 @ X59 @ X62) | ($false = rel_s4 @ X62 @ (sK10 @ (big_r @ X60) @ (exists_in_world @ X61))) | ($false != big_r @ X60 @ (sK10 @ (big_r @ X60) @ (exists_in_world @ X61))) | ($false = rel_s4 @ X63 @ X59) | ($true = p @ X64) | ($false = rel_s4 @ X63 @ X64) | ($false = rel_s4 @ sK13 @ X63) | exists_in_world @ X61 = big_r @ X60 | ($false = exists_in_world @ X60 @ X63) <- {182} [superposition 253,2607] 126.57/124.69 4964. 406 <=> ! [X53 : mu,X55,X56,X52,X54 : mu,X57] : (($false != big_r @ X53 @ (sK10 @ (big_r @ X53) @ (exists_in_world @ X54))) | ($false = rel_s4 @ X57 @ (sK10 @ (big_r @ X53) @ (exists_in_world @ X54))) | ($false = rel_s4 @ X52 @ X57) | ($false = exists_in_world @ X53 @ X55) | exists_in_world @ X54 = big_r @ X53 | ($false = rel_s4 @ X55 @ X52) | ($false = rel_s4 @ sK13 @ X55) | ($false = rel_s4 @ X55 @ X56) | ($true = p @ X56)) [avatar definition] 126.57/124.69 4966. 406 | 0 | ~182 [avatar split clause 4950,2606,315,4964] 126.57/124.69 4967. 406 | 0 | ~182 [avatar split clause 4954,2606,315,4964] 126.57/124.69 4968. ($false = $true) | ($true = p @ X7) | ($false = rel_s4 @ (sK10 @ (big_r @ X5) @ (rel_s4 @ X6)) @ X7) | ($false = rel_s4 @ sK13 @ (sK10 @ (big_r @ X5) @ (rel_s4 @ X6))) | rel_s4 @ X6 = big_r @ X5 | ($false != big_r @ X5 @ (sK10 @ (big_r @ X5) @ (rel_s4 @ X6))) | ($true != rel_s4 @ X8 @ (sK10 @ (big_r @ X5) @ (rel_s4 @ X6))) | ($true != exists_in_world @ X5 @ X8) <- {176} [superposition 2583,206] 126.57/124.69 4969. ($false = $true) | ($true != rel_s4 @ X5 @ (sK10 @ (big_r @ X3) @ (rel_s4 @ X4))) | ($true != exists_in_world @ X3 @ X5) | ($true = p @ X6) | ($false = rel_s4 @ (sK10 @ (big_r @ X3) @ (rel_s4 @ X4)) @ X6) | ($false = rel_s4 @ sK13 @ (sK10 @ (big_r @ X3) @ (rel_s4 @ X4))) | rel_s4 @ X4 = big_r @ X3 | ($false != big_r @ X3 @ (sK10 @ (big_r @ X3) @ (rel_s4 @ X4))) <- {176} [superposition 206,2583] 126.57/124.69 4971. 408 <=> ! [X5 : mu,X7,X8,X6] : (($true = p @ X7) | ($true != exists_in_world @ X5 @ X8) | ($true != rel_s4 @ X8 @ (sK10 @ (big_r @ X5) @ (rel_s4 @ X6))) | ($false != big_r @ X5 @ (sK10 @ (big_r @ X5) @ (rel_s4 @ X6))) | rel_s4 @ X6 = big_r @ X5 | ($false = rel_s4 @ sK13 @ (sK10 @ (big_r @ X5) @ (rel_s4 @ X6))) | ($false = rel_s4 @ (sK10 @ (big_r @ X5) @ (rel_s4 @ X6)) @ X7)) [avatar definition] 126.57/124.69 4973. 408 | 0 | ~176 [avatar split clause 4968,2582,315,4971] 126.57/124.69 4974. 408 | 0 | ~176 [avatar split clause 4969,2582,315,4971] 126.57/124.69 4975. ($false = $true) | ($true = p @ X8) | ($false = rel_s4 @ (sK10 @ (big_r @ X6) @ (exists_in_world @ X7)) @ X8) | ($false = rel_s4 @ sK13 @ (sK10 @ (big_r @ X6) @ (exists_in_world @ X7))) | exists_in_world @ X7 = big_r @ X6 | ($false != big_r @ X6 @ (sK10 @ (big_r @ X6) @ (exists_in_world @ X7))) | ($true != rel_s4 @ X9 @ (sK10 @ (big_r @ X6) @ (exists_in_world @ X7))) | ($true != exists_in_world @ X6 @ X9) <- {180} [superposition 2603,206] 126.57/124.69 4978. ($false = $true) | ($true != rel_s4 @ X11 @ (sK10 @ (big_r @ X9) @ (exists_in_world @ X10))) | ($true != exists_in_world @ X9 @ X11) | ($true = p @ X12) | ($false = rel_s4 @ (sK10 @ (big_r @ X9) @ (exists_in_world @ X10)) @ X12) | ($false = rel_s4 @ sK13 @ (sK10 @ (big_r @ X9) @ (exists_in_world @ X10))) | exists_in_world @ X10 = big_r @ X9 | ($false != big_r @ X9 @ (sK10 @ (big_r @ X9) @ (exists_in_world @ X10))) <- {180} [superposition 206,2603] 126.57/124.69 4982. 410 <=> ! [X9,X7 : mu,X8,X6 : mu] : (($true = p @ X8) | ($true != exists_in_world @ X6 @ X9) | ($true != rel_s4 @ X9 @ (sK10 @ (big_r @ X6) @ (exists_in_world @ X7))) | ($false != big_r @ X6 @ (sK10 @ (big_r @ X6) @ (exists_in_world @ X7))) | exists_in_world @ X7 = big_r @ X6 | ($false = rel_s4 @ sK13 @ (sK10 @ (big_r @ X6) @ (exists_in_world @ X7))) | ($false = rel_s4 @ (sK10 @ (big_r @ X6) @ (exists_in_world @ X7)) @ X8)) [avatar definition] 126.57/124.69 4984. 410 | 0 | ~180 [avatar split clause 4975,2602,315,4982] 126.57/124.69 4985. 410 | 0 | ~180 [avatar split clause 4978,2602,315,4982] 126.57/124.69 4987. ($false = $true) | ($false != big_q @ X49 @ (sK10 @ (big_q @ X49) @ (rel_s4 @ X50))) | ($false = rel_s4 @ X51 @ X48) | rel_s4 @ X50 = big_q @ X49 | ($true = big_r @ X49 @ X52) | ($false = rel_s4 @ sK13 @ X51) | ($false = rel_s4 @ X51 @ X52) | ($false = exists_in_world @ X49 @ X51) | ($false = rel_s4 @ X48 @ X53) | ($false = rel_s4 @ X53 @ (sK10 @ (big_q @ X49) @ (rel_s4 @ X50))) <- {186} [superposition 2633,253] 126.57/124.69 4992. ($false = $true) | ($false = rel_s4 @ X57 @ X60) | ($false = rel_s4 @ X60 @ (sK10 @ (big_q @ X58) @ (rel_s4 @ X59))) | ($false != big_q @ X58 @ (sK10 @ (big_q @ X58) @ (rel_s4 @ X59))) | ($false = rel_s4 @ X61 @ X57) | rel_s4 @ X59 = big_q @ X58 | ($true = big_r @ X58 @ X62) | ($false = rel_s4 @ sK13 @ X61) | ($false = rel_s4 @ X61 @ X62) | ($false = exists_in_world @ X58 @ X61) <- {186} [superposition 253,2633] 126.57/124.69 5004. 412 <=> ! [X49 : mu,X51,X53,X48,X50,X52] : (($false != big_q @ X49 @ (sK10 @ (big_q @ X49) @ (rel_s4 @ X50))) | ($false = rel_s4 @ X53 @ (sK10 @ (big_q @ X49) @ (rel_s4 @ X50))) | ($false = rel_s4 @ X48 @ X53) | ($false = exists_in_world @ X49 @ X51) | ($true = big_r @ X49 @ X52) | rel_s4 @ X50 = big_q @ X49 | ($false = rel_s4 @ X51 @ X48) | ($false = rel_s4 @ X51 @ X52) | ($false = rel_s4 @ sK13 @ X51)) [avatar definition] 126.57/124.69 5005. ($false = rel_s4 @ X53 @ (sK10 @ (big_q @ X49) @ (rel_s4 @ X50))) | ($false != big_q @ X49 @ (sK10 @ (big_q @ X49) @ (rel_s4 @ X50))) | ($false = rel_s4 @ X48 @ X53) | ($false = exists_in_world @ X49 @ X51) | ($true = big_r @ X49 @ X52) | rel_s4 @ X50 = big_q @ X49 | ($false = rel_s4 @ X51 @ X48) | ($false = rel_s4 @ X51 @ X52) | ($false = rel_s4 @ sK13 @ X51) <- {412} [avatar component clause 5004] 126.57/124.69 5006. 412 | 0 | ~186 [avatar split clause 4987,2632,315,5004] 126.57/124.69 5007. 412 | 0 | ~186 [avatar split clause 4992,2632,315,5004] 126.57/124.69 5009. ($false = $true) | ($false != big_q @ X47 @ (sK10 @ (big_q @ X47) @ (exists_in_world @ X48))) | ($false = rel_s4 @ X49 @ X46) | exists_in_world @ X48 = big_q @ X47 | ($true = big_r @ X47 @ X50) | ($false = rel_s4 @ sK13 @ X49) | ($false = rel_s4 @ X49 @ X50) | ($false = exists_in_world @ X47 @ X49) | ($false = rel_s4 @ X46 @ X51) | ($false = rel_s4 @ X51 @ (sK10 @ (big_q @ X47) @ (exists_in_world @ X48))) <- {190} [superposition 2653,253] 126.57/124.69 5013. ($false = $true) | ($false = rel_s4 @ X53 @ X56) | ($false = rel_s4 @ X56 @ (sK10 @ (big_q @ X54) @ (exists_in_world @ X55))) | ($false != big_q @ X54 @ (sK10 @ (big_q @ X54) @ (exists_in_world @ X55))) | ($false = rel_s4 @ X57 @ X53) | exists_in_world @ X55 = big_q @ X54 | ($true = big_r @ X54 @ X58) | ($false = rel_s4 @ sK13 @ X57) | ($false = rel_s4 @ X57 @ X58) | ($false = exists_in_world @ X54 @ X57) <- {190} [superposition 253,2653] 126.57/124.69 5023. 414 <=> ! [X49,X51,X46,X48 : mu,X50,X47 : mu] : (($false != big_q @ X47 @ (sK10 @ (big_q @ X47) @ (exists_in_world @ X48))) | ($false = rel_s4 @ X51 @ (sK10 @ (big_q @ X47) @ (exists_in_world @ X48))) | ($false = rel_s4 @ X46 @ X51) | ($false = exists_in_world @ X47 @ X49) | ($true = big_r @ X47 @ X50) | exists_in_world @ X48 = big_q @ X47 | ($false = rel_s4 @ X49 @ X46) | ($false = rel_s4 @ X49 @ X50) | ($false = rel_s4 @ sK13 @ X49)) [avatar definition] 126.57/124.69 5024. ($false = rel_s4 @ X51 @ (sK10 @ (big_q @ X47) @ (exists_in_world @ X48))) | ($false != big_q @ X47 @ (sK10 @ (big_q @ X47) @ (exists_in_world @ X48))) | ($false = rel_s4 @ X46 @ X51) | ($false = exists_in_world @ X47 @ X49) | ($true = big_r @ X47 @ X50) | exists_in_world @ X48 = big_q @ X47 | ($false = rel_s4 @ X49 @ X46) | ($false = rel_s4 @ X49 @ X50) | ($false = rel_s4 @ sK13 @ X49) <- {414} [avatar component clause 5023] 126.57/124.69 5025. 414 | 0 | ~190 [avatar split clause 5009,2652,315,5023] 126.57/124.69 5026. 414 | 0 | ~190 [avatar split clause 5013,2652,315,5023] 126.57/124.69 5037. ($false != $false) | rel_s4 @ X24 = rel_s4 @ X25 | ($false = rel_s4 @ X24 @ X25) | rel_s4 @ X24 = rel_s4 @ X25 | ($false = rel_s4 @ X25 @ X24) [superposition 1674,2687] 126.57/124.69 5048. ($false != $false) | rel_s4 @ X24 = rel_s4 @ X25 | ($false = rel_s4 @ X24 @ X25) | ($false = rel_s4 @ X25 @ X24) [duplicate literal removal 5037] 126.57/124.69 5049. rel_s4 @ X24 = rel_s4 @ X25 | ($false = rel_s4 @ X24 @ X25) | ($false = rel_s4 @ X25 @ X24) [trivial inequality removal 5048] 126.57/124.69 5056. ($false != $false) | rel_s4 @ X12 = rel_s4 @ X13 | ($false = rel_s4 @ X12 @ X14) | ($false = rel_s4 @ X14 @ X13) | rel_s4 @ X12 = rel_s4 @ X13 | ($false = rel_s4 @ X13 @ X12) [superposition 1726,2718] 126.57/124.69 5074. ($false != $false) | rel_s4 @ X12 = rel_s4 @ X13 | ($false = rel_s4 @ X12 @ X14) | ($false = rel_s4 @ X14 @ X13) | ($false = rel_s4 @ X13 @ X12) [duplicate literal removal 5056] 126.57/124.69 5075. rel_s4 @ X12 = rel_s4 @ X13 | ($false = rel_s4 @ X12 @ X14) | ($false = rel_s4 @ X14 @ X13) | ($false = rel_s4 @ X13 @ X12) [trivial inequality removal 5074] 126.57/124.69 5125. ($false = $true) | rel_s4 @ X6 = big_q @ X5 | ($true = big_r @ X5 @ X7) | ($false = rel_s4 @ sK13 @ (sK10 @ (big_q @ X5) @ (rel_s4 @ X6))) | ($false = rel_s4 @ (sK10 @ (big_q @ X5) @ (rel_s4 @ X6)) @ X7) | ($false != big_q @ X5 @ (sK10 @ (big_q @ X5) @ (rel_s4 @ X6))) | ($true != rel_s4 @ X8 @ (sK10 @ (big_q @ X5) @ (rel_s4 @ X6))) | ($true != exists_in_world @ X5 @ X8) <- {184} [superposition 2629,206] 126.57/124.69 5126. ($false = $true) | ($true != rel_s4 @ X5 @ (sK10 @ (big_q @ X3) @ (rel_s4 @ X4))) | ($true != exists_in_world @ X3 @ X5) | rel_s4 @ X4 = big_q @ X3 | ($true = big_r @ X3 @ X6) | ($false = rel_s4 @ sK13 @ (sK10 @ (big_q @ X3) @ (rel_s4 @ X4))) | ($false = rel_s4 @ (sK10 @ (big_q @ X3) @ (rel_s4 @ X4)) @ X6) | ($false != big_q @ X3 @ (sK10 @ (big_q @ X3) @ (rel_s4 @ X4))) <- {184} [superposition 206,2629] 126.57/124.69 5128. 416 <=> ! [X5 : mu,X7,X8,X6] : (rel_s4 @ X6 = big_q @ X5 | ($true != exists_in_world @ X5 @ X8) | ($true != rel_s4 @ X8 @ (sK10 @ (big_q @ X5) @ (rel_s4 @ X6))) | ($false != big_q @ X5 @ (sK10 @ (big_q @ X5) @ (rel_s4 @ X6))) | ($false = rel_s4 @ (sK10 @ (big_q @ X5) @ (rel_s4 @ X6)) @ X7) | ($false = rel_s4 @ sK13 @ (sK10 @ (big_q @ X5) @ (rel_s4 @ X6))) | ($true = big_r @ X5 @ X7)) [avatar definition] 126.57/124.69 5129. ($false = rel_s4 @ sK13 @ (sK10 @ (big_q @ X5) @ (rel_s4 @ X6))) | ($true != exists_in_world @ X5 @ X8) | ($true != rel_s4 @ X8 @ (sK10 @ (big_q @ X5) @ (rel_s4 @ X6))) | ($false != big_q @ X5 @ (sK10 @ (big_q @ X5) @ (rel_s4 @ X6))) | ($false = rel_s4 @ (sK10 @ (big_q @ X5) @ (rel_s4 @ X6)) @ X7) | rel_s4 @ X6 = big_q @ X5 | ($true = big_r @ X5 @ X7) <- {416} [avatar component clause 5128] 126.57/124.69 5130. 416 | 0 | ~184 [avatar split clause 5125,2628,315,5128] 126.57/124.69 5131. 416 | 0 | ~184 [avatar split clause 5126,2628,315,5128] 126.57/124.69 5132. ($false = $true) | exists_in_world @ X7 = big_q @ X6 | ($true = big_r @ X6 @ X8) | ($false = rel_s4 @ sK13 @ (sK10 @ (big_q @ X6) @ (exists_in_world @ X7))) | ($false = rel_s4 @ (sK10 @ (big_q @ X6) @ (exists_in_world @ X7)) @ X8) | ($false != big_q @ X6 @ (sK10 @ (big_q @ X6) @ (exists_in_world @ X7))) | ($true != rel_s4 @ X9 @ (sK10 @ (big_q @ X6) @ (exists_in_world @ X7))) | ($true != exists_in_world @ X6 @ X9) <- {188} [superposition 2649,206] 126.57/124.69 5135. ($false = $true) | ($true != rel_s4 @ X11 @ (sK10 @ (big_q @ X9) @ (exists_in_world @ X10))) | ($true != exists_in_world @ X9 @ X11) | exists_in_world @ X10 = big_q @ X9 | ($true = big_r @ X9 @ X12) | ($false = rel_s4 @ sK13 @ (sK10 @ (big_q @ X9) @ (exists_in_world @ X10))) | ($false = rel_s4 @ (sK10 @ (big_q @ X9) @ (exists_in_world @ X10)) @ X12) | ($false != big_q @ X9 @ (sK10 @ (big_q @ X9) @ (exists_in_world @ X10))) <- {188} [superposition 206,2649] 126.57/124.69 5139. 418 <=> ! [X9,X7 : mu,X8,X6 : mu] : (exists_in_world @ X7 = big_q @ X6 | ($true != exists_in_world @ X6 @ X9) | ($true != rel_s4 @ X9 @ (sK10 @ (big_q @ X6) @ (exists_in_world @ X7))) | ($false != big_q @ X6 @ (sK10 @ (big_q @ X6) @ (exists_in_world @ X7))) | ($false = rel_s4 @ (sK10 @ (big_q @ X6) @ (exists_in_world @ X7)) @ X8) | ($false = rel_s4 @ sK13 @ (sK10 @ (big_q @ X6) @ (exists_in_world @ X7))) | ($true = big_r @ X6 @ X8)) [avatar definition] 126.57/124.69 5140. ($false = rel_s4 @ sK13 @ (sK10 @ (big_q @ X6) @ (exists_in_world @ X7))) | ($true != exists_in_world @ X6 @ X9) | ($true != rel_s4 @ X9 @ (sK10 @ (big_q @ X6) @ (exists_in_world @ X7))) | ($false != big_q @ X6 @ (sK10 @ (big_q @ X6) @ (exists_in_world @ X7))) | ($false = rel_s4 @ (sK10 @ (big_q @ X6) @ (exists_in_world @ X7)) @ X8) | exists_in_world @ X7 = big_q @ X6 | ($true = big_r @ X6 @ X8) <- {418} [avatar component clause 5139] 126.57/124.69 5141. 418 | 0 | ~188 [avatar split clause 5132,2648,315,5139] 126.57/124.69 5142. 418 | 0 | ~188 [avatar split clause 5135,2648,315,5139] 126.57/124.69 5152. ($true != vPI_16 @ (sK0 @ vSIGMA_16 @ vPI_16)) | vPI_16 = vSIGMA_16 | vSIGMA_16 = X0 | ($true != X0 @ (sK0 @ vSIGMA_16 @ X0)) | ($false != vPI_16 @ (sK0 @ vSIGMA_16 @ X0)) [extended narrowing 2827] 126.57/124.69 5159. ($true != vPI_16 @ (sK0 @ vSIGMA_16 @ vPI_16)) | vPI_16 = vSIGMA_16 | vSIGMA_16 = X0 | ($true != X0 @ (sK0 @ vSIGMA_16 @ X0)) | ($true = sK0 @ vSIGMA_16 @ X0 @ X1) [HOL PI constant elimination 5152] 126.57/124.69 5160. ($false = sK0 @ vSIGMA_16 @ vPI_16 @ sK35) | vPI_16 = vSIGMA_16 | vSIGMA_16 = X0 | ($true != X0 @ (sK0 @ vSIGMA_16 @ X0)) | ($true = sK0 @ vSIGMA_16 @ X0 @ X1) [HOL SIGMA constant elimination 5159] 126.57/124.69 5163. 420 <=> ! [X1,X0 : (($i > $o) > $o)] : (vSIGMA_16 = X0 | ($true = sK0 @ vSIGMA_16 @ X0 @ X1) | ($true != X0 @ (sK0 @ vSIGMA_16 @ X0))) [avatar definition] 126.57/124.69 5166. 423 <=> vPI_16 != vSIGMA_16 [avatar definition] 126.57/124.69 5167. vPI_16 != vSIGMA_16 <- {423} [avatar component clause 5166] 126.57/124.69 5169. 422 <=> vPI_16 = vSIGMA_16 [avatar definition] 126.57/124.69 5175. 424 <=> ($false = sK0 @ vSIGMA_16 @ vPI_16 @ sK35) [avatar definition] 126.57/124.69 5177. 420 | 422 | 424 [avatar split clause 5160,5175,5169,5163] 126.57/124.69 5437. ($false = $true) | ($true = p @ X0) | ($false = rel_s4 @ sK23 @ X0) | ($false = rel_s4 @ sK13 @ sK23) | ($false = rel_s4 @ sK23 @ sK23) <- {100, 174} [superposition 2566,2146] 126.57/124.69 5438. ($false = $true) | ($true = p @ X0) | ($false = rel_s4 @ sK23 @ X0) | ($false = rel_s4 @ sK13 @ sK23) | ($false = rel_s4 @ sK23 @ sK23) <- {100, 174} [superposition 2146,2566] 126.57/124.69 5440. 427 <=> ($false != rel_s4 @ sK23 @ sK23) [avatar definition] 126.57/124.69 5441. ($false != rel_s4 @ sK23 @ sK23) <- {427} [avatar component clause 5440] 126.57/124.69 5443. 426 <=> ($false = rel_s4 @ sK23 @ sK23) [avatar definition] 126.57/124.69 5444. ($false = rel_s4 @ sK23 @ sK23) <- {426} [avatar component clause 5443] 126.57/124.69 5446. 429 <=> ($false != rel_s4 @ sK13 @ sK23) [avatar definition] 126.57/124.69 5447. ($false != rel_s4 @ sK13 @ sK23) <- {429} [avatar component clause 5446] 126.57/124.69 5449. 428 <=> ($false = rel_s4 @ sK13 @ sK23) [avatar definition] 126.57/124.69 5450. ($false = rel_s4 @ sK13 @ sK23) <- {428} [avatar component clause 5449] 126.57/124.69 5452. 430 <=> ! [X0] : (($true = p @ X0) | ($false = rel_s4 @ sK23 @ X0)) [avatar definition] 126.57/124.69 5454. 426 | 428 | 430 | 0 | ~100 | ~174 [avatar split clause 5437,2565,2145,315,5452,5449,5443] 126.57/124.69 5455. 426 | 428 | 430 | 0 | ~100 | ~174 [avatar split clause 5438,2565,2145,315,5452,5449,5443] 126.57/124.69 5546. ($false != $false) | rel_s4 @ X23 = rel_s4 @ X24 | ($false = rel_s4 @ X25 @ X26) | ($false = rel_s4 @ X26 @ X24) | ($false = rel_s4 @ X23 @ X25) | rel_s4 @ X23 = rel_s4 @ X24 | ($false = rel_s4 @ X24 @ X23) [superposition 3200,2718] 126.57/124.69 5598. ($false != $false) | rel_s4 @ X23 = rel_s4 @ X24 | ($false = rel_s4 @ X25 @ X26) | ($false = rel_s4 @ X26 @ X24) | ($false = rel_s4 @ X23 @ X25) | ($false = rel_s4 @ X24 @ X23) [duplicate literal removal 5546] 126.57/124.69 5599. rel_s4 @ X23 = rel_s4 @ X24 | ($false = rel_s4 @ X25 @ X26) | ($false = rel_s4 @ X26 @ X24) | ($false = rel_s4 @ X23 @ X25) | ($false = rel_s4 @ X24 @ X23) [trivial inequality removal 5598] 126.57/124.69 5675. ($false != $false) | rel_s4 @ sK19 = rel_s4 @ X114 | ($false = rel_s4 @ X115 @ X116) | ($false = rel_s4 @ X116 @ X114) | ($false = rel_s4 @ sK19 @ X115) | ($false = rel_s4 @ X114 @ X114) | ($false = p @ (sK17 @ (sK10 @ (rel_s4 @ sK19) @ (rel_s4 @ X114)))) <- {138} [superposition 3650,2316] 126.57/124.69 5677. ($false = p @ (sK17 @ (sK10 @ (rel_s4 @ sK19) @ (rel_s4 @ X114)))) | ($false = rel_s4 @ X115 @ X116) | ($false = rel_s4 @ X116 @ X114) | ($false = rel_s4 @ sK19 @ X115) | ($false = rel_s4 @ X114 @ X114) | rel_s4 @ sK19 = rel_s4 @ X114 <- {138} [trivial inequality removal 5675] 126.57/124.69 5818. ($false != $false) | rel_s4 @ X0 = rel_s4 @ X1 | ($false = rel_s4 @ X0 @ X1) | ($false = rel_s4 @ X2 @ X3) | ($false = rel_s4 @ X3 @ X4) | ($false = rel_s4 @ X1 @ X2) | ($false = rel_s4 @ X4 @ X0) | rel_s4 @ X0 = rel_s4 @ X1 | ($false = rel_s4 @ X0 @ X1) [superposition 981,3276] 126.57/124.69 5855. ($false != $false) | rel_s4 @ X0 = rel_s4 @ X1 | ($false = rel_s4 @ X0 @ X1) | ($false = rel_s4 @ X2 @ X3) | ($false = rel_s4 @ X3 @ X4) | ($false = rel_s4 @ X1 @ X2) | ($false = rel_s4 @ X4 @ X0) [duplicate literal removal 5818] 126.57/124.69 5856. rel_s4 @ X0 = rel_s4 @ X1 | ($false = rel_s4 @ X0 @ X1) | ($false = rel_s4 @ X2 @ X3) | ($false = rel_s4 @ X3 @ X4) | ($false = rel_s4 @ X1 @ X2) | ($false = rel_s4 @ X4 @ X0) [trivial inequality removal 5855] 126.57/124.69 6371. ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ sK13 @ (sK17 @ sK13))) @ $false) | ($false = exists_in_world @ X0 @ X1) | ($false = rel_s4 @ X1 @ sK13) | ($false = rel_s4 @ sK13 @ X1) | ($false = rel_s4 @ X1 @ X2) | ($true = big_q @ X0 @ X2) <- {6, 198} [superposition 959,3746] 126.57/124.69 6372. ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ sK13 @ (sK17 @ sK13))) @ $false) | ($false = exists_in_world @ X3 @ X4) | ($false = rel_s4 @ X4 @ sK13) | ($false = rel_s4 @ sK13 @ X4) | ($false = rel_s4 @ X4 @ X5) | ($true = p @ X5) <- {6, 198} [superposition 966,3746] 126.57/124.69 6382. 432 <=> ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ sK13 @ (sK17 @ sK13))) @ $false) [avatar definition] 126.57/124.69 6384. 202 | 432 | ~6 | ~198 [avatar split clause 6371,3745,368,6382,3754] 126.57/124.69 6385. 206 | 432 | ~6 | ~198 [avatar split clause 6372,3745,368,6382,3764] 126.57/124.69 6671. ($false != $false) | rel_s4 @ X92 = exists_in_world @ X93 | ($false != exists_in_world @ X93 @ (sK10 @ (exists_in_world @ X93) @ (rel_s4 @ X92))) | ($false = rel_s4 @ X94 @ X95) | ($false = rel_s4 @ X95 @ X96) | rel_s4 @ X92 = exists_in_world @ X93 | ($false = rel_s4 @ X96 @ X92) | ($true != exists_in_world @ X93 @ X94) | ($false = rel_s4 @ X92 @ X92) | ($false != exists_in_world @ X93 @ (sK10 @ (exists_in_world @ X93) @ (rel_s4 @ X92))) [superposition 990,3509] 126.57/124.69 6682. ($false != $false) | rel_s4 @ X92 = exists_in_world @ X93 | ($false != exists_in_world @ X93 @ (sK10 @ (exists_in_world @ X93) @ (rel_s4 @ X92))) | ($false = rel_s4 @ X94 @ X95) | ($false = rel_s4 @ X95 @ X96) | ($false = rel_s4 @ X96 @ X92) | ($true != exists_in_world @ X93 @ X94) | ($false = rel_s4 @ X92 @ X92) [duplicate literal removal 6671] 126.57/124.69 6683. ($false != exists_in_world @ X93 @ (sK10 @ (exists_in_world @ X93) @ (rel_s4 @ X92))) | rel_s4 @ X92 = exists_in_world @ X93 | ($false = rel_s4 @ X94 @ X95) | ($false = rel_s4 @ X95 @ X96) | ($false = rel_s4 @ X96 @ X92) | ($true != exists_in_world @ X93 @ X94) | ($false = rel_s4 @ X92 @ X92) [trivial inequality removal 6682] 126.57/124.69 6708. ($false != $false) | rel_s4 @ X181 = rel_s4 @ X182 | ($false != rel_s4 @ X182 @ (sK10 @ (rel_s4 @ X182) @ (rel_s4 @ X181))) | ($false = rel_s4 @ X183 @ X184) | ($false = rel_s4 @ X184 @ X185) | ($false = rel_s4 @ X182 @ X183) | ($false = rel_s4 @ X185 @ X181) | rel_s4 @ X181 = rel_s4 @ X182 | ($false = rel_s4 @ X181 @ X181) | ($false != rel_s4 @ X182 @ (sK10 @ (rel_s4 @ X182) @ (rel_s4 @ X181))) [superposition 990,3583] 126.57/124.69 6724. ($false != $false) | rel_s4 @ X181 = rel_s4 @ X182 | ($false != rel_s4 @ X182 @ (sK10 @ (rel_s4 @ X182) @ (rel_s4 @ X181))) | ($false = rel_s4 @ X183 @ X184) | ($false = rel_s4 @ X184 @ X185) | ($false = rel_s4 @ X182 @ X183) | ($false = rel_s4 @ X185 @ X181) | ($false = rel_s4 @ X181 @ X181) [duplicate literal removal 6708] 126.57/124.69 6725. ($false != rel_s4 @ X182 @ (sK10 @ (rel_s4 @ X182) @ (rel_s4 @ X181))) | rel_s4 @ X181 = rel_s4 @ X182 | ($false = rel_s4 @ X183 @ X184) | ($false = rel_s4 @ X184 @ X185) | ($false = rel_s4 @ X182 @ X183) | ($false = rel_s4 @ X185 @ X181) | ($false = rel_s4 @ X181 @ X181) [trivial inequality removal 6724] 126.57/124.69 6755. ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ sK19 @ (sK17 @ sK19))) @ $false) | ($false = exists_in_world @ X0 @ X1) | ($false = rel_s4 @ X1 @ sK19) | ($false = rel_s4 @ sK13 @ X1) | ($false = rel_s4 @ X1 @ X2) | ($true = big_q @ X0 @ X2) <- {6, 210} [superposition 959,3779] 126.57/124.69 6756. ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ sK19 @ (sK17 @ sK19))) @ $false) | ($false = exists_in_world @ X3 @ X4) | ($false = rel_s4 @ X4 @ sK19) | ($false = rel_s4 @ sK13 @ X4) | ($false = rel_s4 @ X4 @ X5) | ($true = p @ X5) <- {6, 210} [superposition 966,3779] 126.57/124.69 6763. 435 <=> ($false != vOR_37 @ (vNOT_33 @ (rel_s4 @ sK19 @ (sK17 @ sK19))) @ $false) [avatar definition] 126.57/124.69 6764. ($false != vOR_37 @ (vNOT_33 @ (rel_s4 @ sK19 @ (sK17 @ sK19))) @ $false) <- {435} [avatar component clause 6763] 126.57/124.69 6766. 434 <=> ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ sK19 @ (sK17 @ sK19))) @ $false) [avatar definition] 126.57/124.69 6767. ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ sK19 @ (sK17 @ sK19))) @ $false) <- {434} [avatar component clause 6766] 126.57/124.69 6768. 256 | 434 | ~6 | ~210 [avatar split clause 6755,3778,368,6766,4146] 126.57/124.69 6769. 260 | 434 | ~6 | ~210 [avatar split clause 6756,3778,368,6766,4156] 126.57/124.69 6770. ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ sK23 @ (sK17 @ sK23))) @ $false) | ($false = exists_in_world @ X0 @ X1) | ($false = rel_s4 @ X1 @ sK23) | ($false = rel_s4 @ sK13 @ X1) | ($false = rel_s4 @ X1 @ X2) | ($true = big_q @ X0 @ X2) <- {6, 244} [superposition 959,4063] 126.57/124.69 6771. ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ sK23 @ (sK17 @ sK23))) @ $false) | ($false = exists_in_world @ X3 @ X4) | ($false = rel_s4 @ X4 @ sK23) | ($false = rel_s4 @ sK13 @ X4) | ($false = rel_s4 @ X4 @ X5) | ($true = p @ X5) <- {6, 244} [superposition 966,4063] 126.57/124.69 6778. 436 <=> ! [X1,X0 : mu,X2] : (($false = exists_in_world @ X0 @ X1) | ($true = big_q @ X0 @ X2) | ($false = rel_s4 @ X1 @ X2) | ($false = rel_s4 @ sK13 @ X1) | ($false = rel_s4 @ X1 @ sK23)) [avatar definition] 126.57/124.69 6784. 438 <=> ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ sK23 @ (sK17 @ sK23))) @ $false) [avatar definition] 126.57/124.69 6785. ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ sK23 @ (sK17 @ sK23))) @ $false) <- {438} [avatar component clause 6784] 126.57/124.69 6786. 436 | 438 | ~6 | ~244 [avatar split clause 6770,4062,368,6784,6778] 126.57/124.69 6788. 440 <=> ! [X3 : mu,X5,X4] : (($false = exists_in_world @ X3 @ X4) | ($true = p @ X5) | ($false = rel_s4 @ X4 @ X5) | ($false = rel_s4 @ sK13 @ X4) | ($false = rel_s4 @ X4 @ sK23)) [avatar definition] 126.57/124.69 6790. 440 | 438 | ~6 | ~244 [avatar split clause 6771,4062,368,6784,6788] 126.57/124.69 6791. ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ sK22 @ (sK17 @ sK22))) @ $false) | ($false = exists_in_world @ X0 @ X1) | ($false = rel_s4 @ X1 @ sK22) | ($false = rel_s4 @ sK13 @ X1) | ($false = rel_s4 @ X1 @ X2) | ($true = big_q @ X0 @ X2) <- {6, 262} [superposition 959,4164] 126.57/124.69 6792. ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ sK22 @ (sK17 @ sK22))) @ $false) | ($false = exists_in_world @ X3 @ X4) | ($false = rel_s4 @ X4 @ sK22) | ($false = rel_s4 @ sK13 @ X4) | ($false = rel_s4 @ X4 @ X5) | ($true = p @ X5) <- {6, 262} [superposition 966,4164] 126.57/124.69 6799. 442 <=> ! [X1,X0 : mu,X2] : (($false = exists_in_world @ X0 @ X1) | ($true = big_q @ X0 @ X2) | ($false = rel_s4 @ X1 @ X2) | ($false = rel_s4 @ sK13 @ X1) | ($false = rel_s4 @ X1 @ sK22)) [avatar definition] 126.57/124.69 6802. 445 <=> ($false != vOR_37 @ (vNOT_33 @ (rel_s4 @ sK22 @ (sK17 @ sK22))) @ $false) [avatar definition] 126.57/124.69 6803. ($false != vOR_37 @ (vNOT_33 @ (rel_s4 @ sK22 @ (sK17 @ sK22))) @ $false) <- {445} [avatar component clause 6802] 126.57/124.69 6805. 444 <=> ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ sK22 @ (sK17 @ sK22))) @ $false) [avatar definition] 126.57/124.69 6806. ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ sK22 @ (sK17 @ sK22))) @ $false) <- {444} [avatar component clause 6805] 126.57/124.69 6807. 442 | 444 | ~6 | ~262 [avatar split clause 6791,4163,368,6805,6799] 126.57/124.69 6809. 446 <=> ! [X3 : mu,X5,X4] : (($false = exists_in_world @ X3 @ X4) | ($true = p @ X5) | ($false = rel_s4 @ X4 @ X5) | ($false = rel_s4 @ sK13 @ X4) | ($false = rel_s4 @ X4 @ sK22)) [avatar definition] 126.57/124.69 6811. 446 | 444 | ~6 | ~262 [avatar split clause 6792,4163,368,6805,6809] 126.57/124.69 6813. ($true = exists_in_world @ sK20 @ sK28) <- {50, 270} [unit resulting resolution 1297,4196,206] 126.57/124.69 6814. ($true = exists_in_world @ (sK11 @ sK13) @ sK28) <- {42, 270} [unit resulting resolution 924,4196,206] 126.57/124.69 6815. ($true = exists_in_world @ (sK11 @ sK12) @ sK28) <- {44, 270} [unit resulting resolution 931,4196,206] 126.57/124.69 6816. ($true = exists_in_world @ sK24 @ sK28) <- {106, 270} [unit resulting resolution 2186,4196,206] 126.57/124.69 6817. ($true = exists_in_world @ (sK11 @ sK19) @ sK28) <- {270} [unit resulting resolution 205,4196,206] 126.57/124.69 6825. 448 <=> ($true = exists_in_world @ (sK11 @ sK19) @ sK28) [avatar definition] 126.57/124.69 6827. 448 | ~270 [avatar split clause 6817,4195,6825] 126.57/124.69 6832. 450 <=> ($true = exists_in_world @ sK24 @ sK28) [avatar definition] 126.57/124.69 6833. ($true = exists_in_world @ sK24 @ sK28) <- {450} [avatar component clause 6832] 126.57/124.69 6834. 450 | ~106 | ~270 [avatar split clause 6816,4195,2185,6832] 126.57/124.69 6839. 452 <=> ($true = exists_in_world @ (sK11 @ sK12) @ sK28) [avatar definition] 126.57/124.69 6841. 452 | ~44 | ~270 [avatar split clause 6815,4195,930,6839] 126.57/124.69 6846. 454 <=> ($true = exists_in_world @ (sK11 @ sK13) @ sK28) [avatar definition] 126.57/124.69 6848. 454 | ~42 | ~270 [avatar split clause 6814,4195,923,6846] 126.57/124.69 6853. 456 <=> ($true = exists_in_world @ sK20 @ sK28) [avatar definition] 126.57/124.69 6854. ($true = exists_in_world @ sK20 @ sK28) <- {456} [avatar component clause 6853] 126.57/124.69 6855. 456 | ~50 | ~270 [avatar split clause 6813,4195,1296,6853] 126.57/124.69 6860. ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ sK28 @ (sK17 @ sK28))) @ $false) | ($false = exists_in_world @ X0 @ X1) | ($false = rel_s4 @ X1 @ sK28) | ($false = rel_s4 @ sK13 @ X1) | ($false = rel_s4 @ X1 @ X2) | ($true = big_q @ X0 @ X2) <- {6, 274} [superposition 959,4210] 126.57/124.69 6861. ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ sK28 @ (sK17 @ sK28))) @ $false) | ($false = exists_in_world @ X3 @ X4) | ($false = rel_s4 @ X4 @ sK28) | ($false = rel_s4 @ sK13 @ X4) | ($false = rel_s4 @ X4 @ X5) | ($true = p @ X5) <- {6, 274} [superposition 966,4210] 126.57/124.69 6868. 458 <=> ! [X1,X0 : mu,X2] : (($false = exists_in_world @ X0 @ X1) | ($true = big_q @ X0 @ X2) | ($false = rel_s4 @ X1 @ X2) | ($false = rel_s4 @ sK13 @ X1) | ($false = rel_s4 @ X1 @ sK28)) [avatar definition] 126.57/124.69 6871. 461 <=> ($false != vOR_37 @ (vNOT_33 @ (rel_s4 @ sK28 @ (sK17 @ sK28))) @ $false) [avatar definition] 126.57/124.69 6872. ($false != vOR_37 @ (vNOT_33 @ (rel_s4 @ sK28 @ (sK17 @ sK28))) @ $false) <- {461} [avatar component clause 6871] 126.57/124.69 6874. 460 <=> ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ sK28 @ (sK17 @ sK28))) @ $false) [avatar definition] 126.57/124.69 6876. 458 | 460 | ~6 | ~274 [avatar split clause 6860,4209,368,6874,6868] 126.57/124.69 6878. 462 <=> ! [X3 : mu,X5,X4] : (($false = exists_in_world @ X3 @ X4) | ($true = p @ X5) | ($false = rel_s4 @ X4 @ X5) | ($false = rel_s4 @ sK13 @ X4) | ($false = rel_s4 @ X4 @ sK28)) [avatar definition] 126.57/124.69 6880. 462 | 460 | ~6 | ~274 [avatar split clause 6861,4209,368,6874,6878] 126.57/124.69 6882. ($true = exists_in_world @ sK21 @ sK29) <- {58, 286} [unit resulting resolution 1328,4253,206] 126.57/124.69 6883. ($true = exists_in_world @ (sK11 @ sK13) @ sK29) <- {46, 286} [unit resulting resolution 1110,4253,206] 126.57/124.69 6884. ($true = exists_in_world @ (sK11 @ sK12) @ sK29) <- {48, 286} [unit resulting resolution 1117,4253,206] 126.57/124.69 6885. ($true = exists_in_world @ sK25 @ sK29) <- {114, 286} [unit resulting resolution 2217,4253,206] 126.57/124.69 6886. ($true = exists_in_world @ (sK11 @ sK18) @ sK29) <- {286} [unit resulting resolution 205,4253,206] 126.57/124.69 6887. ($false = $true) | ($true = p @ sK29) <- {132, 286} [superposition 4253,2298] 126.57/124.69 6889. ($false = $true) | ($true = p @ sK29) <- {132, 286} [superposition 2298,4253] 126.57/124.69 6894. 464 <=> ($true = exists_in_world @ (sK11 @ sK18) @ sK29) [avatar definition] 126.57/124.69 6896. 464 | ~286 [avatar split clause 6886,4252,6894] 126.57/124.69 6901. 466 <=> ($true = exists_in_world @ sK25 @ sK29) [avatar definition] 126.57/124.69 6903. 466 | ~114 | ~286 [avatar split clause 6885,4252,2216,6901] 126.57/124.69 6908. 468 <=> ($true = exists_in_world @ (sK11 @ sK12) @ sK29) [avatar definition] 126.57/124.69 6910. 468 | ~48 | ~286 [avatar split clause 6884,4252,1116,6908] 126.57/124.69 6915. 470 <=> ($true = exists_in_world @ (sK11 @ sK13) @ sK29) [avatar definition] 126.57/124.69 6917. 470 | ~46 | ~286 [avatar split clause 6883,4252,1109,6915] 126.57/124.69 6922. 472 <=> ($true = exists_in_world @ sK21 @ sK29) [avatar definition] 126.57/124.69 6924. 472 | ~58 | ~286 [avatar split clause 6882,4252,1327,6922] 126.57/124.69 6929. 474 <=> ($true = p @ sK29) [avatar definition] 126.57/124.69 6931. 474 | 0 | ~132 | ~286 [avatar split clause 6887,4252,2297,315,6929] 126.57/124.69 6932. 474 | 0 | ~132 | ~286 [avatar split clause 6889,4252,2297,315,6929] 126.57/124.69 6937. ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ sK29 @ (sK17 @ sK29))) @ $false) | ($false = exists_in_world @ X0 @ X1) | ($false = rel_s4 @ X1 @ sK29) | ($false = rel_s4 @ sK13 @ X1) | ($false = rel_s4 @ X1 @ X2) | ($true = big_q @ X0 @ X2) <- {6, 290} [superposition 959,4267] 126.57/124.69 6938. ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ sK29 @ (sK17 @ sK29))) @ $false) | ($false = exists_in_world @ X3 @ X4) | ($false = rel_s4 @ X4 @ sK29) | ($false = rel_s4 @ sK13 @ X4) | ($false = rel_s4 @ X4 @ X5) | ($true = p @ X5) <- {6, 290} [superposition 966,4267] 126.57/124.69 6945. 476 <=> ! [X1,X0 : mu,X2] : (($false = exists_in_world @ X0 @ X1) | ($true = big_q @ X0 @ X2) | ($false = rel_s4 @ X1 @ X2) | ($false = rel_s4 @ sK13 @ X1) | ($false = rel_s4 @ X1 @ sK29)) [avatar definition] 126.57/124.69 6951. 478 <=> ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ sK29 @ (sK17 @ sK29))) @ $false) [avatar definition] 126.57/124.69 6952. ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ sK29 @ (sK17 @ sK29))) @ $false) <- {478} [avatar component clause 6951] 126.57/124.69 6953. 476 | 478 | ~6 | ~290 [avatar split clause 6937,4266,368,6951,6945] 126.57/124.69 6955. 480 <=> ! [X3 : mu,X5,X4] : (($false = exists_in_world @ X3 @ X4) | ($true = p @ X5) | ($false = rel_s4 @ X4 @ X5) | ($false = rel_s4 @ sK13 @ X4) | ($false = rel_s4 @ X4 @ sK29)) [avatar definition] 126.57/124.69 6957. 480 | 478 | ~6 | ~290 [avatar split clause 6938,4266,368,6951,6955] 126.57/124.69 6960. ($true = exists_in_world @ sK20 @ sK30) <- {50, 300} [unit resulting resolution 1297,4301,206] 126.57/124.69 6961. ($true = exists_in_world @ (sK11 @ sK13) @ sK30) <- {42, 300} [unit resulting resolution 924,4301,206] 126.57/124.69 6962. ($true = exists_in_world @ (sK11 @ sK12) @ sK30) <- {44, 300} [unit resulting resolution 931,4301,206] 126.57/124.69 6963. ($true = exists_in_world @ sK24 @ sK30) <- {106, 300} [unit resulting resolution 2186,4301,206] 126.57/124.69 6964. ($true = exists_in_world @ (sK11 @ sK19) @ sK30) <- {300} [unit resulting resolution 205,4301,206] 126.57/124.69 6972. 482 <=> ($true = exists_in_world @ (sK11 @ sK19) @ sK30) [avatar definition] 126.57/124.69 6974. 482 | ~300 [avatar split clause 6964,4300,6972] 126.57/124.69 6979. 484 <=> ($true = exists_in_world @ sK24 @ sK30) [avatar definition] 126.57/124.69 6981. 484 | ~106 | ~300 [avatar split clause 6963,4300,2185,6979] 126.57/124.69 6986. 486 <=> ($true = exists_in_world @ (sK11 @ sK12) @ sK30) [avatar definition] 126.57/124.69 6988. 486 | ~44 | ~300 [avatar split clause 6962,4300,930,6986] 126.57/124.69 6993. 488 <=> ($true = exists_in_world @ (sK11 @ sK13) @ sK30) [avatar definition] 126.57/124.69 6995. 488 | ~42 | ~300 [avatar split clause 6961,4300,923,6993] 126.57/124.69 7000. 490 <=> ($true = exists_in_world @ sK20 @ sK30) [avatar definition] 126.57/124.69 7001. ($true = exists_in_world @ sK20 @ sK30) <- {490} [avatar component clause 7000] 126.57/124.69 7002. 490 | ~50 | ~300 [avatar split clause 6960,4300,1296,7000] 126.57/124.69 7007. ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ sK30 @ (sK17 @ sK30))) @ $false) | ($false = exists_in_world @ X0 @ X1) | ($false = rel_s4 @ X1 @ sK30) | ($false = rel_s4 @ sK13 @ X1) | ($false = rel_s4 @ X1 @ X2) | ($true = big_q @ X0 @ X2) <- {6, 304} [superposition 959,4315] 126.57/124.69 7008. ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ sK30 @ (sK17 @ sK30))) @ $false) | ($false = exists_in_world @ X3 @ X4) | ($false = rel_s4 @ X4 @ sK30) | ($false = rel_s4 @ sK13 @ X4) | ($false = rel_s4 @ X4 @ X5) | ($true = p @ X5) <- {6, 304} [superposition 966,4315] 126.57/124.69 7015. 492 <=> ! [X1,X0 : mu,X2] : (($false = exists_in_world @ X0 @ X1) | ($true = big_q @ X0 @ X2) | ($false = rel_s4 @ X1 @ X2) | ($false = rel_s4 @ sK13 @ X1) | ($false = rel_s4 @ X1 @ sK30)) [avatar definition] 126.57/124.69 7018. 495 <=> ($false != vOR_37 @ (vNOT_33 @ (rel_s4 @ sK30 @ (sK17 @ sK30))) @ $false) [avatar definition] 126.57/124.69 7019. ($false != vOR_37 @ (vNOT_33 @ (rel_s4 @ sK30 @ (sK17 @ sK30))) @ $false) <- {495} [avatar component clause 7018] 126.57/124.69 7021. 494 <=> ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ sK30 @ (sK17 @ sK30))) @ $false) [avatar definition] 126.57/124.69 7022. ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ sK30 @ (sK17 @ sK30))) @ $false) <- {494} [avatar component clause 7021] 126.57/124.69 7023. 492 | 494 | ~6 | ~304 [avatar split clause 7007,4314,368,7021,7015] 126.57/124.69 7025. 496 <=> ! [X3 : mu,X5,X4] : (($false = exists_in_world @ X3 @ X4) | ($true = p @ X5) | ($false = rel_s4 @ X4 @ X5) | ($false = rel_s4 @ sK13 @ X4) | ($false = rel_s4 @ X4 @ sK30)) [avatar definition] 126.57/124.69 7027. 496 | 494 | ~6 | ~304 [avatar split clause 7008,4314,368,7021,7025] 126.57/124.69 7029. ($true = exists_in_world @ sK21 @ sK31) <- {58, 314} [unit resulting resolution 1328,4349,206] 126.57/124.69 7030. ($true = exists_in_world @ (sK11 @ sK13) @ sK31) <- {46, 314} [unit resulting resolution 1110,4349,206] 126.57/124.69 7031. ($true = exists_in_world @ (sK11 @ sK12) @ sK31) <- {48, 314} [unit resulting resolution 1117,4349,206] 126.57/124.69 7032. ($true = exists_in_world @ sK25 @ sK31) <- {114, 314} [unit resulting resolution 2217,4349,206] 126.57/124.69 7033. ($true = exists_in_world @ (sK11 @ sK18) @ sK31) <- {314} [unit resulting resolution 205,4349,206] 126.57/124.69 7034. ($false = $true) | ($true = p @ sK31) <- {132, 314} [superposition 4349,2298] 126.57/124.69 7036. ($false = $true) | ($true = p @ sK31) <- {132, 314} [superposition 2298,4349] 126.57/124.69 7041. 498 <=> ($true = exists_in_world @ (sK11 @ sK18) @ sK31) [avatar definition] 126.57/124.69 7043. 498 | ~314 [avatar split clause 7033,4348,7041] 126.57/124.69 7048. 500 <=> ($true = exists_in_world @ sK25 @ sK31) [avatar definition] 126.57/124.69 7050. 500 | ~114 | ~314 [avatar split clause 7032,4348,2216,7048] 126.57/124.69 7055. 502 <=> ($true = exists_in_world @ (sK11 @ sK12) @ sK31) [avatar definition] 126.57/124.69 7057. 502 | ~48 | ~314 [avatar split clause 7031,4348,1116,7055] 126.57/124.69 7062. 504 <=> ($true = exists_in_world @ (sK11 @ sK13) @ sK31) [avatar definition] 126.57/124.69 7064. 504 | ~46 | ~314 [avatar split clause 7030,4348,1109,7062] 126.57/124.69 7069. 506 <=> ($true = exists_in_world @ sK21 @ sK31) [avatar definition] 126.57/124.69 7071. 506 | ~58 | ~314 [avatar split clause 7029,4348,1327,7069] 126.57/124.69 7076. 508 <=> ($true = p @ sK31) [avatar definition] 126.57/124.69 7078. 508 | 0 | ~132 | ~314 [avatar split clause 7034,4348,2297,315,7076] 126.57/124.69 7079. 508 | 0 | ~132 | ~314 [avatar split clause 7036,4348,2297,315,7076] 126.57/124.69 7084. ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ sK31 @ (sK17 @ sK31))) @ $false) | ($false = exists_in_world @ X0 @ X1) | ($false = rel_s4 @ X1 @ sK31) | ($false = rel_s4 @ sK13 @ X1) | ($false = rel_s4 @ X1 @ X2) | ($true = big_q @ X0 @ X2) <- {6, 318} [superposition 959,4363] 126.57/124.69 7085. ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ sK31 @ (sK17 @ sK31))) @ $false) | ($false = exists_in_world @ X3 @ X4) | ($false = rel_s4 @ X4 @ sK31) | ($false = rel_s4 @ sK13 @ X4) | ($false = rel_s4 @ X4 @ X5) | ($true = p @ X5) <- {6, 318} [superposition 966,4363] 126.57/124.69 7092. 510 <=> ! [X1,X0 : mu,X2] : (($false = exists_in_world @ X0 @ X1) | ($true = big_q @ X0 @ X2) | ($false = rel_s4 @ X1 @ X2) | ($false = rel_s4 @ sK13 @ X1) | ($false = rel_s4 @ X1 @ sK31)) [avatar definition] 126.57/124.69 7098. 512 <=> ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ sK31 @ (sK17 @ sK31))) @ $false) [avatar definition] 126.57/124.69 7099. ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ sK31 @ (sK17 @ sK31))) @ $false) <- {512} [avatar component clause 7098] 126.57/124.69 7100. 510 | 512 | ~6 | ~318 [avatar split clause 7084,4362,368,7098,7092] 126.57/124.69 7102. 514 <=> ! [X3 : mu,X5,X4] : (($false = exists_in_world @ X3 @ X4) | ($true = p @ X5) | ($false = rel_s4 @ X4 @ X5) | ($false = rel_s4 @ sK13 @ X4) | ($false = rel_s4 @ X4 @ sK31)) [avatar definition] 126.57/124.69 7104. 514 | 512 | ~6 | ~318 [avatar split clause 7085,4362,368,7098,7102] 126.57/124.69 7111. (vPI_16 @ (sK0 @ vSIGMA_16 @ vPI_16) != vSIGMA_16 @ (sK0 @ vSIGMA_16 @ vPI_16)) <- {423} [unit resulting resolution 5167,161] 126.57/124.69 7112. (vPI_16 @ (sK0 @ vPI_16 @ vSIGMA_16) != vSIGMA_16 @ (sK0 @ vPI_16 @ vSIGMA_16)) <- {423} [unit resulting resolution 5167,161] 126.57/124.69 7117. 517 <=> (vPI_16 @ (sK0 @ vPI_16 @ vSIGMA_16) != vSIGMA_16 @ (sK0 @ vPI_16 @ vSIGMA_16)) [avatar definition] 126.57/124.69 7119. ~517 | 423 [avatar split clause 7112,5166,7117] 126.57/124.69 7124. 519 <=> (vPI_16 @ (sK0 @ vSIGMA_16 @ vPI_16) != vSIGMA_16 @ (sK0 @ vSIGMA_16 @ vPI_16)) [avatar definition] 126.57/124.69 7126. ~519 | 423 [avatar split clause 7111,5166,7124] 126.57/124.69 7140. ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ (sK17 @ sK13) @ (sK17 @ (sK17 @ sK13)))) @ $false) | ($false = exists_in_world @ X0 @ X1) | ($false = rel_s4 @ X1 @ (sK17 @ sK13)) | ($false = rel_s4 @ sK13 @ X1) | ($false = rel_s4 @ X1 @ X2) | ($true = big_q @ X0 @ X2) <- {6, 204} [superposition 959,3761] 126.57/124.69 7141. ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ (sK17 @ sK13) @ (sK17 @ (sK17 @ sK13)))) @ $false) | ($false = exists_in_world @ X3 @ X4) | ($false = rel_s4 @ X4 @ (sK17 @ sK13)) | ($false = rel_s4 @ sK13 @ X4) | ($false = rel_s4 @ X4 @ X5) | ($true = p @ X5) <- {6, 204} [superposition 966,3761] 126.57/124.69 7148. 520 <=> ! [X1,X0 : mu,X2] : (($false = exists_in_world @ X0 @ X1) | ($true = big_q @ X0 @ X2) | ($false = rel_s4 @ X1 @ X2) | ($false = rel_s4 @ sK13 @ X1) | ($false = rel_s4 @ X1 @ (sK17 @ sK13))) [avatar definition] 126.57/124.69 7151. 523 <=> ($false != vOR_37 @ (vNOT_33 @ (rel_s4 @ (sK17 @ sK13) @ (sK17 @ (sK17 @ sK13)))) @ $false) [avatar definition] 126.57/124.69 7152. ($false != vOR_37 @ (vNOT_33 @ (rel_s4 @ (sK17 @ sK13) @ (sK17 @ (sK17 @ sK13)))) @ $false) <- {523} [avatar component clause 7151] 126.57/124.69 7154. 522 <=> ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ (sK17 @ sK13) @ (sK17 @ (sK17 @ sK13)))) @ $false) [avatar definition] 126.57/124.69 7156. 520 | 522 | ~6 | ~204 [avatar split clause 7140,3760,368,7154,7148] 126.57/124.69 7158. 524 <=> ! [X3 : mu,X5,X4] : (($false = exists_in_world @ X3 @ X4) | ($true = p @ X5) | ($false = rel_s4 @ X4 @ X5) | ($false = rel_s4 @ sK13 @ X4) | ($false = rel_s4 @ X4 @ (sK17 @ sK13))) [avatar definition] 126.57/124.69 7160. 524 | 522 | ~6 | ~204 [avatar split clause 7141,3760,368,7154,7158] 126.57/124.69 7161. ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ (sK17 @ sK18) @ (sK17 @ (sK17 @ sK18)))) @ $false) | ($false = exists_in_world @ X0 @ X1) | ($false = rel_s4 @ X1 @ (sK17 @ sK18)) | ($false = rel_s4 @ sK13 @ X1) | ($false = rel_s4 @ X1 @ X2) | ($true = big_q @ X0 @ X2) <- {6, 240} [superposition 959,4052] 126.57/124.69 7162. ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ (sK17 @ sK18) @ (sK17 @ (sK17 @ sK18)))) @ $false) | ($false = exists_in_world @ X3 @ X4) | ($false = rel_s4 @ X4 @ (sK17 @ sK18)) | ($false = rel_s4 @ sK13 @ X4) | ($false = rel_s4 @ X4 @ X5) | ($true = p @ X5) <- {6, 240} [superposition 966,4052] 126.57/124.69 7169. 526 <=> ! [X1,X0 : mu,X2] : (($false = exists_in_world @ X0 @ X1) | ($true = big_q @ X0 @ X2) | ($false = rel_s4 @ X1 @ X2) | ($false = rel_s4 @ sK13 @ X1) | ($false = rel_s4 @ X1 @ (sK17 @ sK18))) [avatar definition] 126.57/124.69 7175. 528 <=> ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ (sK17 @ sK18) @ (sK17 @ (sK17 @ sK18)))) @ $false) [avatar definition] 126.57/124.69 7176. ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ (sK17 @ sK18) @ (sK17 @ (sK17 @ sK18)))) @ $false) <- {528} [avatar component clause 7175] 126.57/124.69 7177. 526 | 528 | ~6 | ~240 [avatar split clause 7161,4051,368,7175,7169] 126.57/124.69 7179. 530 <=> ! [X3 : mu,X5,X4] : (($false = exists_in_world @ X3 @ X4) | ($true = p @ X5) | ($false = rel_s4 @ X4 @ X5) | ($false = rel_s4 @ sK13 @ X4) | ($false = rel_s4 @ X4 @ (sK17 @ sK18))) [avatar definition] 126.57/124.69 7181. 530 | 528 | ~6 | ~240 [avatar split clause 7162,4051,368,7175,7179] 126.57/124.69 7182. ($false = $true) | ($false = rel_s4 @ sK18 @ X0) | ($false = rel_s4 @ X0 @ sK13) <- {342} [superposition 4524,253] 126.57/124.69 7183. ($false = $true) | ($false = rel_s4 @ sK18 @ X0) | ($false = rel_s4 @ X0 @ sK13) <- {342} [superposition 253,4524] 126.57/124.69 7185. 532 <=> ! [X0] : (($false = rel_s4 @ sK18 @ X0) | ($false = rel_s4 @ X0 @ sK13)) [avatar definition] 126.57/124.69 7187. 532 | 0 | ~342 [avatar split clause 7182,4523,315,7185] 126.57/124.69 7188. 532 | 0 | ~342 [avatar split clause 7183,4523,315,7185] 126.57/124.69 7189. ($false = vNOT_33 @ $false) <- {252} [HOL binary constant elimination 4085] 126.57/124.69 7191. ($false = $true) <- {252} [HOL not constant elimination 7189] 126.57/124.69 7192. 0 | ~252 [avatar split clause 7191,4084,315] 126.57/124.69 7207. ($true = vNOT_33 @ (rel_s4 @ sK28 @ (sK17 @ sK28))) | ($false = $true) <- {461} [HOL binary constant elimination 6872] 126.57/124.69 7208. ($false = rel_s4 @ sK28 @ (sK17 @ sK28)) | ($false = $true) <- {461} [HOL not constant elimination 7207] 126.57/124.69 7209. ($true = vNOT_33 @ (rel_s4 @ (sK17 @ sK13) @ (sK17 @ (sK17 @ sK13)))) | ($false = $true) <- {523} [HOL binary constant elimination 7152] 126.57/124.69 7210. ($false = rel_s4 @ (sK17 @ sK13) @ (sK17 @ (sK17 @ sK13))) | ($false = $true) <- {523} [HOL not constant elimination 7209] 126.57/124.69 7215. 534 <=> ($false = rel_s4 @ (sK17 @ sK13) @ (sK17 @ (sK17 @ sK13))) [avatar definition] 126.57/124.69 7216. ($false = rel_s4 @ (sK17 @ sK13) @ (sK17 @ (sK17 @ sK13))) <- {534} [avatar component clause 7215] 126.57/124.69 7217. 0 | 534 | 523 [avatar split clause 7210,7151,7215,315] 126.57/124.69 7222. 536 <=> ($false = rel_s4 @ sK28 @ (sK17 @ sK28)) [avatar definition] 126.57/124.69 7223. ($false = rel_s4 @ sK28 @ (sK17 @ sK28)) <- {536} [avatar component clause 7222] 126.57/124.69 7224. 0 | 536 | 461 (HD) [avatar split clause 7208,6871,7222,315] 126.57/124.69 7225. ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ (sK17 @ sK19) @ (sK17 @ (sK17 @ sK19)))) @ $false) | ($false = exists_in_world @ X0 @ X1) | ($false = rel_s4 @ X1 @ (sK17 @ sK19)) | ($false = rel_s4 @ sK13 @ X1) | ($false = rel_s4 @ X1 @ X2) | ($true = big_q @ X0 @ X2) <- {6, 258} [superposition 959,4153] 126.57/124.69 7226. ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ (sK17 @ sK19) @ (sK17 @ (sK17 @ sK19)))) @ $false) | ($false = exists_in_world @ X3 @ X4) | ($false = rel_s4 @ X4 @ (sK17 @ sK19)) | ($false = rel_s4 @ sK13 @ X4) | ($false = rel_s4 @ X4 @ X5) | ($true = p @ X5) <- {6, 258} [superposition 966,4153] 126.57/124.69 7233. 538 <=> ! [X1,X0 : mu,X2] : (($false = exists_in_world @ X0 @ X1) | ($true = big_q @ X0 @ X2) | ($false = rel_s4 @ X1 @ X2) | ($false = rel_s4 @ sK13 @ X1) | ($false = rel_s4 @ X1 @ (sK17 @ sK19))) [avatar definition] 126.57/124.69 7239. 540 <=> ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ (sK17 @ sK19) @ (sK17 @ (sK17 @ sK19)))) @ $false) [avatar definition] 126.57/124.69 7240. ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ (sK17 @ sK19) @ (sK17 @ (sK17 @ sK19)))) @ $false) <- {540} [avatar component clause 7239] 126.57/124.69 7241. 538 | 540 | ~6 | ~258 [avatar split clause 7225,4152,368,7239,7233] 126.57/124.69 7243. 542 <=> ! [X3 : mu,X5,X4] : (($false = exists_in_world @ X3 @ X4) | ($true = p @ X5) | ($false = rel_s4 @ X4 @ X5) | ($false = rel_s4 @ sK13 @ X4) | ($false = rel_s4 @ X4 @ (sK17 @ sK19))) [avatar definition] 126.57/124.69 7245. 542 | 540 | ~6 | ~258 [avatar split clause 7226,4152,368,7239,7243] 126.57/124.69 7270. ($false = vNOT_33 @ (rel_s4 @ sK19 @ sK33)) <- {328} [HOL binary constant elimination 4396] 126.57/124.69 7271. ($false = big_q @ sK24 @ sK33) <- {328} [HOL binary constant elimination 4396] 126.57/124.69 7272. ($false = vOR_37 @ (vNOT_33 @ $false) @ (big_q @ sK24 @ sK33)) | ($false = p @ (sK17 @ sK33)) <- {138, 328} [superposition 4396,2316] 126.57/124.69 7273. ($false = vOR_37 @ (vNOT_33 @ $true) @ (big_q @ sK24 @ sK33)) | ($false = rel_s4 @ sK19 @ X0) | ($false = rel_s4 @ X0 @ sK33) <- {328} [superposition 4396,253] 126.57/124.69 7274. ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ sK19 @ sK33)) @ $true) | ($false = exists_in_world @ sK24 @ X0) | ($false = rel_s4 @ X0 @ X1) | ($false = rel_s4 @ sK13 @ X0) | ($true = big_r @ sK24 @ X1) | ($false = rel_s4 @ X0 @ sK33) <- {6, 328} [superposition 4396,893] 126.57/124.69 7275. ($false = $true) | ($false = exists_in_world @ sK24 @ X0) | ($false = rel_s4 @ X0 @ X1) | ($false = rel_s4 @ sK13 @ X0) | ($true = big_r @ sK24 @ X1) | ($false = rel_s4 @ X0 @ sK33) <- {6, 328} [HOL short circuit evaluation 7274] 126.57/124.69 7276. ($true = rel_s4 @ sK19 @ sK33) <- {328} [HOL not constant elimination 7270] 126.57/124.69 7281. 544 <=> ($true = rel_s4 @ sK19 @ sK33) [avatar definition] 126.57/124.69 7282. ($true = rel_s4 @ sK19 @ sK33) <- {544} [avatar component clause 7281] 126.57/124.69 7283. 544 | ~328 [avatar split clause 7276,4395,7281] 126.57/124.69 7288. 546 <=> ($false = big_q @ sK24 @ sK33) [avatar definition] 126.57/124.69 7289. ($false = big_q @ sK24 @ sK33) <- {546} [avatar component clause 7288] 126.57/124.69 7290. 546 | ~328 [avatar split clause 7271,4395,7288] 126.57/124.69 7295. 548 <=> ($false = p @ (sK17 @ sK33)) [avatar definition] 126.57/124.69 7296. ($false = p @ (sK17 @ sK33)) <- {548} [avatar component clause 7295] 126.57/124.69 7301. 550 <=> ($false = vOR_37 @ (vNOT_33 @ $false) @ (big_q @ sK24 @ sK33)) [avatar definition] 126.57/124.69 7303. 548 | 550 | ~138 | ~328 [avatar split clause 7272,4395,2315,7301,7295] 126.57/124.69 7305. 552 <=> ! [X0] : (($false = rel_s4 @ sK19 @ X0) | ($false = rel_s4 @ X0 @ sK33)) [avatar definition] 126.57/124.69 7311. 554 <=> ($false = vOR_37 @ (vNOT_33 @ $true) @ (big_q @ sK24 @ sK33)) [avatar definition] 126.57/124.69 7312. ($false = vOR_37 @ (vNOT_33 @ $true) @ (big_q @ sK24 @ sK33)) <- {554} [avatar component clause 7311] 126.57/124.69 7313. 552 | 554 | ~328 [avatar split clause 7273,4395,7311,7305] 126.57/124.69 7315. 556 <=> ! [X1,X0] : (($false = exists_in_world @ sK24 @ X0) | ($false = rel_s4 @ X0 @ sK33) | ($true = big_r @ sK24 @ X1) | ($false = rel_s4 @ sK13 @ X0) | ($false = rel_s4 @ X0 @ X1)) [avatar definition] 126.57/124.69 7317. 556 | 0 | ~6 | ~328 [avatar split clause 7275,4395,368,315,7315] 126.57/124.69 7320. ($false = vNOT_33 @ (rel_s4 @ sK18 @ sK34)) <- {330} [HOL binary constant elimination 4409] 126.57/124.69 7321. ($false = big_r @ sK25 @ sK34) <- {330} [HOL binary constant elimination 4409] 126.57/124.69 7322. ($false = vOR_37 @ (vNOT_33 @ $false) @ (big_r @ sK25 @ sK34)) | ($true = p @ sK34) <- {132, 330} [superposition 4409,2298] 126.57/124.69 7323. ($false = vOR_37 @ (vNOT_33 @ $true) @ (big_r @ sK25 @ sK34)) | ($false = rel_s4 @ sK18 @ X0) | ($false = rel_s4 @ X0 @ sK34) <- {330} [superposition 4409,253] 126.57/124.69 7324. ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ sK18 @ sK34)) @ $true) | ($false = exists_in_world @ sK25 @ X0) | ($false = rel_s4 @ X0 @ sK34) | ($false = rel_s4 @ sK13 @ X0) | ($false = rel_s4 @ X0 @ X1) | ($true = p @ X1) <- {6, 330} [superposition 4409,900] 126.57/124.69 7325. ($false = $true) | ($false = exists_in_world @ sK25 @ X0) | ($false = rel_s4 @ X0 @ sK34) | ($false = rel_s4 @ sK13 @ X0) | ($false = rel_s4 @ X0 @ X1) | ($true = p @ X1) <- {6, 330} [HOL short circuit evaluation 7324] 126.57/124.69 7326. ($true = rel_s4 @ sK18 @ sK34) <- {330} [HOL not constant elimination 7320] 126.57/124.69 7331. 558 <=> ($true = rel_s4 @ sK18 @ sK34) [avatar definition] 126.57/124.69 7332. ($true = rel_s4 @ sK18 @ sK34) <- {558} [avatar component clause 7331] 126.57/124.69 7333. 558 | ~330 [avatar split clause 7326,4408,7331] 126.57/124.69 7338. 560 <=> ($false = big_r @ sK25 @ sK34) [avatar definition] 126.57/124.69 7339. ($false = big_r @ sK25 @ sK34) <- {560} [avatar component clause 7338] 126.57/124.69 7340. 560 | ~330 [avatar split clause 7321,4408,7338] 126.57/124.69 7345. 562 <=> ($true = p @ sK34) [avatar definition] 126.57/124.69 7351. 564 <=> ($false = vOR_37 @ (vNOT_33 @ $false) @ (big_r @ sK25 @ sK34)) [avatar definition] 126.57/124.69 7353. 562 | 564 | ~132 | ~330 [avatar split clause 7322,4408,2297,7351,7345] 126.57/124.69 7355. 566 <=> ! [X0] : (($false = rel_s4 @ sK18 @ X0) | ($false = rel_s4 @ X0 @ sK34)) [avatar definition] 126.57/124.69 7361. 568 <=> ($false = vOR_37 @ (vNOT_33 @ $true) @ (big_r @ sK25 @ sK34)) [avatar definition] 126.57/124.69 7363. 566 | 568 | ~330 [avatar split clause 7323,4408,7361,7355] 126.57/124.69 7365. 570 <=> ! [X1,X0] : (($false = exists_in_world @ sK25 @ X0) | ($true = p @ X1) | ($false = rel_s4 @ X0 @ X1) | ($false = rel_s4 @ sK13 @ X0) | ($false = rel_s4 @ X0 @ sK34)) [avatar definition] 126.57/124.69 7367. 570 | 0 | ~6 | ~330 [avatar split clause 7325,4408,368,315,7365] 126.57/124.69 7372. ($false = rel_s4 @ sK23 @ sK13) <- {225, 335, 344} [unit resulting resolution 3878,4444,4529] 126.57/124.69 7374. ($false = $true) | ($true = p @ X4) | ($false = rel_s4 @ X3 @ X4) | ($false = rel_s4 @ sK18 @ X5) | ($false = rel_s4 @ X5 @ X3) <- {344} [superposition 4529,253] 126.57/124.69 7375. ($false = $true) | ($true = p @ X152) | ($false = rel_s4 @ (sK17 @ sK18) @ X152) | ($false = exists_in_world @ X153 @ X154) | ($false = rel_s4 @ X154 @ sK18) | ($false = rel_s4 @ sK13 @ X154) | ($false = rel_s4 @ X154 @ X155) | ($true = big_q @ X153 @ X155) <- {6, 344} [superposition 4529,1389] 126.57/124.69 7376. ($false = $true) | ($true = p @ X156) | ($false = rel_s4 @ (sK17 @ sK18) @ X156) | ($false = exists_in_world @ X157 @ X158) | ($false = rel_s4 @ X158 @ sK18) | ($false = rel_s4 @ sK13 @ X158) | ($false = rel_s4 @ X158 @ X159) | ($true = p @ X159) <- {6, 344} [superposition 4529,1385] 126.57/124.69 7377. ($false = $true) | ($true = p @ X160) | ($false = rel_s4 @ sK23 @ X160) <- {92, 344} [superposition 4529,2125] 126.57/124.69 7378. ($false = $true) | ($true = p @ X161) | ($false = rel_s4 @ sK29 @ X161) <- {286, 344} [superposition 4529,4253] 126.57/124.69 7379. ($false = $true) | ($true = p @ X162) | ($false = rel_s4 @ sK31 @ X162) <- {314, 344} [superposition 4529,4349] 126.57/124.69 7381. ($false = $true) | ($false = rel_s4 @ sK18 @ X3) | ($false = rel_s4 @ X3 @ X2) | ($true = p @ X4) | ($false = rel_s4 @ X2 @ X4) <- {344} [superposition 253,4529] 126.57/124.69 7415. ($false != $false) | rel_s4 @ sK18 = sK0 @ vSIGMA_16 @ X270 | vSIGMA_16 = X270 | ($true != X270 @ (sK0 @ vSIGMA_16 @ X270)) | vSIGMA_16 = X269 | ($true != X269 @ (sK0 @ vSIGMA_16 @ X269)) | ($true = p @ X271) | ($false = rel_s4 @ (sK10 @ (rel_s4 @ sK18) @ (sK0 @ vSIGMA_16 @ X269)) @ X271) <- {344} [superposition 1567,4529] 126.57/124.69 7417. ($false != $false) | rel_s4 @ sK18 = sK0 @ vSIGMA_16 @ X275 | vSIGMA_16 = X275 | ($true != X275 @ (sK0 @ vSIGMA_16 @ X275)) | vSIGMA_16 = X274 | ($true != X274 @ (sK0 @ vSIGMA_16 @ X274)) | ($true = p @ X276) | ($false = rel_s4 @ (sK10 @ (sK0 @ vSIGMA_16 @ X274) @ (rel_s4 @ sK18)) @ X276) <- {344} [superposition 1568,4529] 126.57/124.69 7419. ($false = $true) | ($false = exists_in_world @ X279 @ X280) | ($false = rel_s4 @ X280 @ sK18) | ($false = rel_s4 @ sK13 @ X280) | ($false = rel_s4 @ X280 @ X281) | ($true = big_q @ X279 @ X281) | ($true = p @ X282) | ($false = rel_s4 @ (sK17 @ sK18) @ X282) <- {6, 344} [superposition 1389,4529] 126.57/124.69 7420. ($false = $true) | ($false = exists_in_world @ X283 @ X284) | ($false = rel_s4 @ X284 @ sK18) | ($false = rel_s4 @ sK13 @ X284) | ($false = rel_s4 @ X284 @ X285) | ($true = p @ X285) | ($true = p @ X286) | ($false = rel_s4 @ (sK17 @ sK18) @ X286) <- {6, 344} [superposition 1385,4529] 126.57/124.69 7421. ($false = vOR_37 @ (vNOT_33 @ $false) @ (p @ (sK17 @ sK18))) | ($false = exists_in_world @ X287 @ X288) | ($false = rel_s4 @ X288 @ sK18) | ($false = rel_s4 @ sK13 @ X288) | ($false = rel_s4 @ X288 @ X289) | ($true = big_q @ X287 @ X289) | ($true = p @ X290) | ($false = rel_s4 @ (sK17 @ sK18) @ X290) <- {6, 344} [superposition 959,4529] 126.57/124.69 7422. ($false = vOR_37 @ (vNOT_33 @ $false) @ (p @ (sK17 @ sK18))) | ($false = exists_in_world @ X291 @ X292) | ($false = rel_s4 @ X292 @ sK18) | ($false = rel_s4 @ sK13 @ X292) | ($false = rel_s4 @ X292 @ X293) | ($true = p @ X293) | ($true = p @ X294) | ($false = rel_s4 @ (sK17 @ sK18) @ X294) <- {6, 344} [superposition 966,4529] 126.57/124.69 7423. ($false != $false) | ($true = p @ X295) | ($false = rel_s4 @ sK23 @ X295) <- {335, 344} [superposition 4444,4529] 126.57/124.69 7426. ($false = $true) | ($true = p @ X298) | ($false = rel_s4 @ sK29 @ X298) <- {286, 344} [superposition 4253,4529] 126.57/124.69 7427. ($false = vOR_37 @ (vNOT_33 @ $false) @ (big_r @ sK21 @ sK29)) | ($true = p @ X299) | ($false = rel_s4 @ sK29 @ X299) <- {104, 344} [superposition 2172,4529] 126.57/124.69 7428. ($false = $true) | ($true = p @ X300) | ($false = rel_s4 @ sK31 @ X300) <- {314, 344} [superposition 4349,4529] 126.57/124.69 7429. ($false = vOR_37 @ (vNOT_33 @ $false) @ (big_r @ sK25 @ sK31)) | ($true = p @ X301) | ($false = rel_s4 @ sK31 @ X301) <- {116, 344} [superposition 2224,4529] 126.57/124.69 7430. ($false = vOR_37 @ (vNOT_33 @ $false) @ (big_r @ sK25 @ sK34)) | ($true = p @ X302) | ($false = rel_s4 @ sK34 @ X302) <- {330, 344} [superposition 4409,4529] 126.57/124.69 7433. ($false = rel_s4 @ sK23 @ X295) | ($true = p @ X295) <- {335, 344} [trivial inequality removal 7423] 126.57/124.69 7435. rel_s4 @ sK18 = sK0 @ vSIGMA_16 @ X275 | vSIGMA_16 = X275 | ($true != X275 @ (sK0 @ vSIGMA_16 @ X275)) | vSIGMA_16 = X274 | ($true != X274 @ (sK0 @ vSIGMA_16 @ X274)) | ($true = p @ X276) | ($false = rel_s4 @ (sK10 @ (sK0 @ vSIGMA_16 @ X274) @ (rel_s4 @ sK18)) @ X276) <- {344} [trivial inequality removal 7417] 126.57/124.69 7437. rel_s4 @ sK18 = sK0 @ vSIGMA_16 @ X270 | vSIGMA_16 = X270 | ($true != X270 @ (sK0 @ vSIGMA_16 @ X270)) | vSIGMA_16 = X269 | ($true != X269 @ (sK0 @ vSIGMA_16 @ X269)) | ($true = p @ X271) | ($false = rel_s4 @ (sK10 @ (rel_s4 @ sK18) @ (sK0 @ vSIGMA_16 @ X269)) @ X271) <- {344} [trivial inequality removal 7415] 126.57/124.69 7448. 572 <=> ($false = rel_s4 @ sK23 @ sK13) [avatar definition] 126.57/124.69 7449. ($false = rel_s4 @ sK23 @ sK13) <- {572} [avatar component clause 7448] 126.57/124.69 7450. 572 | 225 | 335 | ~344 [avatar split clause 7372,4528,4443,3877,7448] 126.57/124.69 7452. 574 <=> ! [X3,X5,X4] : (($true = p @ X4) | ($false = rel_s4 @ sK18 @ X5) | ($false = rel_s4 @ X5 @ X3) | ($false = rel_s4 @ X3 @ X4)) [avatar definition] 126.57/124.69 7453. ($false = rel_s4 @ sK18 @ X5) | ($true = p @ X4) | ($false = rel_s4 @ X5 @ X3) | ($false = rel_s4 @ X3 @ X4) <- {574} [avatar component clause 7452] 126.57/124.69 7454. 574 | 0 | ~344 [avatar split clause 7374,4528,315,7452] 126.57/124.69 7455. 430 | 0 | ~92 | ~344 [avatar split clause 7377,4528,2124,315,5452] 126.57/124.69 7457. 576 <=> ! [X161] : (($true = p @ X161) | ($false = rel_s4 @ sK29 @ X161)) [avatar definition] 126.57/124.69 7458. ($false = rel_s4 @ sK29 @ X161) | ($true = p @ X161) <- {576} [avatar component clause 7457] 126.57/124.69 7459. 576 | 0 | ~286 | ~344 [avatar split clause 7378,4528,4252,315,7457] 126.57/124.69 7461. 578 <=> ! [X162] : (($true = p @ X162) | ($false = rel_s4 @ sK31 @ X162)) [avatar definition] 126.57/124.69 7462. ($false = rel_s4 @ sK31 @ X162) | ($true = p @ X162) <- {578} [avatar component clause 7461] 126.57/124.69 7463. 578 | 0 | ~314 | ~344 [avatar split clause 7379,4528,4348,315,7461] 126.57/124.69 7464. 574 | 0 | ~344 [avatar split clause 7381,4528,315,7452] 126.57/124.69 7466. 580 <=> ! [X271,X269 : (($i > $o) > $o)] : (vSIGMA_16 = X269 | ($false = rel_s4 @ (sK10 @ (rel_s4 @ sK18) @ (sK0 @ vSIGMA_16 @ X269)) @ X271) | ($true = p @ X271) | ($true != X269 @ (sK0 @ vSIGMA_16 @ X269))) [avatar definition] 126.57/124.69 7468. 580 | 248 | ~344 [avatar split clause 7437,4528,4070,7466] 126.57/124.69 7470. 582 <=> ! [X274 : (($i > $o) > $o),X276] : (vSIGMA_16 = X274 | ($false = rel_s4 @ (sK10 @ (sK0 @ vSIGMA_16 @ X274) @ (rel_s4 @ sK18)) @ X276) | ($true = p @ X276) | ($true != X274 @ (sK0 @ vSIGMA_16 @ X274))) [avatar definition] 126.57/124.69 7472. 582 | 248 | ~344 [avatar split clause 7435,4528,4070,7470] 126.57/124.69 7473. 576 | 0 | ~286 | ~344 [avatar split clause 7426,4528,4252,315,7457] 126.57/124.69 7474. ($false = vOR_37 @ (vNOT_33 @ $false) @ $false) | ($true = p @ X299) | ($false = rel_s4 @ sK29 @ X299) <- {104, 288, 344} [forward demodulation 7427,4260] 126.57/124.69 7475. 576 | 252 | ~104 | ~288 | ~344 [avatar split clause 7474,4528,4259,2171,4084,7457] 126.57/124.69 7476. 578 | 0 | ~314 | ~344 [avatar split clause 7428,4528,4348,315,7461] 126.57/124.69 7477. ($false = vOR_37 @ (vNOT_33 @ $false) @ $false) | ($true = p @ X301) | ($false = rel_s4 @ sK31 @ X301) <- {116, 316, 344} [forward demodulation 7429,4356] 126.57/124.69 7478. 578 | 252 | ~116 | ~316 | ~344 [avatar split clause 7477,4528,4355,2223,4084,7461] 126.57/124.69 7479. ($false = vOR_37 @ (vNOT_33 @ $false) @ $false) | ($true = p @ X302) | ($false = rel_s4 @ sK34 @ X302) <- {330, 344, 560} [forward demodulation 7430,7339] 126.57/124.69 7481. 584 <=> ! [X302] : (($true = p @ X302) | ($false = rel_s4 @ sK34 @ X302)) [avatar definition] 126.57/124.69 7482. ($false = rel_s4 @ sK34 @ X302) | ($true = p @ X302) <- {584} [avatar component clause 7481] 126.57/124.69 7483. 584 | 252 | ~330 | ~344 | ~560 [avatar split clause 7479,7338,4528,4408,4084,7481] 126.57/124.69 7486. ($false = $true) | ($false = p @ (sK17 @ X4)) | ($false = rel_s4 @ X3 @ X4) | ($false = rel_s4 @ sK13 @ X5) | ($false = rel_s4 @ X5 @ X3) <- {200} [superposition 3751,253] 126.57/124.69 7487. ($false = $true) | ($false = p @ (sK17 @ X152)) | ($false = rel_s4 @ (sK17 @ sK13) @ X152) | ($false = exists_in_world @ X153 @ X154) | ($false = rel_s4 @ X154 @ sK13) | ($false = rel_s4 @ sK13 @ X154) | ($false = rel_s4 @ X154 @ X155) | ($true = big_q @ X153 @ X155) <- {6, 200} [superposition 3751,1389] 126.57/124.69 7488. ($false = $true) | ($false = p @ (sK17 @ X156)) | ($false = rel_s4 @ (sK17 @ sK13) @ X156) | ($false = exists_in_world @ X157 @ X158) | ($false = rel_s4 @ X158 @ sK13) | ($false = rel_s4 @ sK13 @ X158) | ($false = rel_s4 @ X158 @ X159) | ($true = p @ X159) <- {6, 200} [superposition 3751,1385] 126.57/124.69 7489. ($false = $true) | ($false = p @ (sK17 @ X160)) | ($false = rel_s4 @ sK18 @ X160) <- {34, 200} [superposition 3751,839] 126.57/124.69 7490. ($false = $true) | ($false = p @ (sK17 @ X161)) | ($false = rel_s4 @ sK19 @ X161) <- {26, 200} [superposition 3751,799] 126.57/124.69 7492. ($false = $true) | ($false = rel_s4 @ sK13 @ X3) | ($false = rel_s4 @ X3 @ X2) | ($false = p @ (sK17 @ X4)) | ($false = rel_s4 @ X2 @ X4) <- {200} [superposition 253,3751] 126.57/124.69 7526. ($false != $false) | rel_s4 @ sK13 = sK0 @ vSIGMA_16 @ X270 | vSIGMA_16 = X270 | ($true != X270 @ (sK0 @ vSIGMA_16 @ X270)) | vSIGMA_16 = X269 | ($true != X269 @ (sK0 @ vSIGMA_16 @ X269)) | ($false = p @ (sK17 @ X271)) | ($false = rel_s4 @ (sK10 @ (rel_s4 @ sK13) @ (sK0 @ vSIGMA_16 @ X269)) @ X271) <- {200} [superposition 1567,3751] 126.57/124.69 7528. ($false != $false) | rel_s4 @ sK13 = sK0 @ vSIGMA_16 @ X275 | vSIGMA_16 = X275 | ($true != X275 @ (sK0 @ vSIGMA_16 @ X275)) | vSIGMA_16 = X274 | ($true != X274 @ (sK0 @ vSIGMA_16 @ X274)) | ($false = p @ (sK17 @ X276)) | ($false = rel_s4 @ (sK10 @ (sK0 @ vSIGMA_16 @ X274) @ (rel_s4 @ sK13)) @ X276) <- {200} [superposition 1568,3751] 126.57/124.69 7530. ($false = $true) | ($false = exists_in_world @ X279 @ X280) | ($false = rel_s4 @ X280 @ sK13) | ($false = rel_s4 @ sK13 @ X280) | ($false = rel_s4 @ X280 @ X281) | ($true = big_q @ X279 @ X281) | ($false = p @ (sK17 @ X282)) | ($false = rel_s4 @ (sK17 @ sK13) @ X282) <- {6, 200} [superposition 1389,3751] 126.57/124.69 7531. ($false = $true) | ($false = exists_in_world @ X283 @ X284) | ($false = rel_s4 @ X284 @ sK13) | ($false = rel_s4 @ sK13 @ X284) | ($false = rel_s4 @ X284 @ X285) | ($true = p @ X285) | ($false = p @ (sK17 @ X286)) | ($false = rel_s4 @ (sK17 @ sK13) @ X286) <- {6, 200} [superposition 1385,3751] 126.57/124.69 7532. ($false = vOR_37 @ (vNOT_33 @ $false) @ (p @ (sK17 @ sK13))) | ($false = exists_in_world @ X287 @ X288) | ($false = rel_s4 @ X288 @ sK13) | ($false = rel_s4 @ sK13 @ X288) | ($false = rel_s4 @ X288 @ X289) | ($true = big_q @ X287 @ X289) | ($false = p @ (sK17 @ X290)) | ($false = rel_s4 @ (sK17 @ sK13) @ X290) <- {6, 200} [superposition 959,3751] 126.57/124.69 7533. ($false = vOR_37 @ (vNOT_33 @ $false) @ (p @ (sK17 @ sK13))) | ($false = exists_in_world @ X291 @ X292) | ($false = rel_s4 @ X292 @ sK13) | ($false = rel_s4 @ sK13 @ X292) | ($false = rel_s4 @ X292 @ X293) | ($true = p @ X293) | ($false = p @ (sK17 @ X294)) | ($false = rel_s4 @ (sK17 @ sK13) @ X294) <- {6, 200} [superposition 966,3751] 126.57/124.69 7535. ($false = $true) | ($false = p @ (sK17 @ X296)) | ($false = rel_s4 @ sK18 @ X296) <- {34, 200} [superposition 839,3751] 126.57/124.69 7536. ($false = vOR_37 @ (vNOT_33 @ $false) @ (vPI_177 @ (sCOMB_176 @ (bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ sK18)) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r) @ sK18)))) | ($false = p @ (sK17 @ X297)) | ($false = rel_s4 @ sK18 @ X297) <- {20, 200} [superposition 759,3751] 126.57/124.69 7537. ($false = $true) | ($false = p @ (sK17 @ X298)) | ($false = rel_s4 @ sK19 @ X298) <- {26, 200} [superposition 799,3751] 126.57/124.69 7543. rel_s4 @ sK13 = sK0 @ vSIGMA_16 @ X275 | vSIGMA_16 = X275 | ($true != X275 @ (sK0 @ vSIGMA_16 @ X275)) | vSIGMA_16 = X274 | ($true != X274 @ (sK0 @ vSIGMA_16 @ X274)) | ($false = p @ (sK17 @ X276)) | ($false = rel_s4 @ (sK10 @ (sK0 @ vSIGMA_16 @ X274) @ (rel_s4 @ sK13)) @ X276) <- {200} [trivial inequality removal 7528] 126.57/124.69 7545. rel_s4 @ sK13 = sK0 @ vSIGMA_16 @ X270 | vSIGMA_16 = X270 | ($true != X270 @ (sK0 @ vSIGMA_16 @ X270)) | vSIGMA_16 = X269 | ($true != X269 @ (sK0 @ vSIGMA_16 @ X269)) | ($false = p @ (sK17 @ X271)) | ($false = rel_s4 @ (sK10 @ (rel_s4 @ sK13) @ (sK0 @ vSIGMA_16 @ X269)) @ X271) <- {200} [trivial inequality removal 7526] 126.57/124.69 7553. 586 <=> ! [X3,X5,X4] : (($false = p @ (sK17 @ X4)) | ($false = rel_s4 @ sK13 @ X5) | ($false = rel_s4 @ X5 @ X3) | ($false = rel_s4 @ X3 @ X4)) [avatar definition] 126.57/124.69 7555. 586 | 0 | ~200 [avatar split clause 7486,3750,315,7553] 126.57/124.69 7557. 588 <=> ! [X152] : (($false = p @ (sK17 @ X152)) | ($false = rel_s4 @ (sK17 @ sK13) @ X152)) [avatar definition] 126.57/124.69 7559. 202 | 588 | 0 | ~6 | ~200 [avatar split clause 7487,3750,368,315,7557,3754] 126.57/124.69 7560. 206 | 588 | 0 | ~6 | ~200 [avatar split clause 7488,3750,368,315,7557,3764] 126.57/124.69 7561. 134 | 0 | ~34 | ~200 [avatar split clause 7489,3750,838,315,2300] 126.57/124.69 7562. 586 | 0 | ~200 [avatar split clause 7492,3750,315,7553] 126.57/124.69 7564. 590 <=> ! [X271,X269 : (($i > $o) > $o)] : (vSIGMA_16 = X269 | ($false = rel_s4 @ (sK10 @ (rel_s4 @ sK13) @ (sK0 @ vSIGMA_16 @ X269)) @ X271) | ($false = p @ (sK17 @ X271)) | ($true != X269 @ (sK0 @ vSIGMA_16 @ X269))) [avatar definition] 126.57/124.69 7566. 590 | 214 | ~200 [avatar split clause 7545,3750,3787,7564] 126.57/124.69 7568. 592 <=> ! [X274 : (($i > $o) > $o),X276] : (vSIGMA_16 = X274 | ($false = rel_s4 @ (sK10 @ (sK0 @ vSIGMA_16 @ X274) @ (rel_s4 @ sK13)) @ X276) | ($false = p @ (sK17 @ X276)) | ($true != X274 @ (sK0 @ vSIGMA_16 @ X274))) [avatar definition] 126.57/124.69 7570. 592 | 214 | ~200 [avatar split clause 7543,3750,3787,7568] 126.57/124.69 7571. 588 | 202 | 0 | ~6 | ~200 [avatar split clause 7530,3750,368,315,3754,7557] 126.57/124.69 7572. 588 | 206 | 0 | ~6 | ~200 [avatar split clause 7531,3750,368,315,3764,7557] 126.57/124.69 7573. ($false = vOR_37 @ (vNOT_33 @ $false) @ $false) | ($false = exists_in_world @ X287 @ X288) | ($false = rel_s4 @ X288 @ sK13) | ($false = rel_s4 @ sK13 @ X288) | ($false = rel_s4 @ X288 @ X289) | ($true = big_q @ X287 @ X289) | ($false = p @ (sK17 @ X290)) | ($false = rel_s4 @ (sK17 @ sK13) @ X290) <- {6, 198, 200} [forward demodulation 7532,3746] 126.57/124.69 7574. 588 | 202 | 252 | ~6 | ~198 | ~200 [avatar split clause 7573,3750,3745,368,4084,3754,7557] 126.57/124.69 7575. ($false = vOR_37 @ (vNOT_33 @ $false) @ $false) | ($false = exists_in_world @ X291 @ X292) | ($false = rel_s4 @ X292 @ sK13) | ($false = rel_s4 @ sK13 @ X292) | ($false = rel_s4 @ X292 @ X293) | ($true = p @ X293) | ($false = p @ (sK17 @ X294)) | ($false = rel_s4 @ (sK17 @ sK13) @ X294) <- {6, 198, 200} [forward demodulation 7533,3746] 126.57/124.69 7576. 588 | 206 | 252 | ~6 | ~198 | ~200 [avatar split clause 7575,3750,3745,368,4084,3764,7557] 126.57/124.69 7577. 134 | 0 | ~34 | ~200 [avatar split clause 7535,3750,838,315,2300] 126.57/124.69 7578. 134 | 220 | ~20 | ~200 [avatar split clause 7536,3750,758,3810,2300] 126.57/124.69 7645. ($false = vOR_37 @ (vNOT_33 @ $false) @ (big_r @ sK25 @ sK34)) | ($false = p @ (sK17 @ sK34)) <- {134, 330} [superposition 4409,2301] 126.57/124.69 7657. ($false = vOR_37 @ (vNOT_33 @ $false) @ $false) | ($false = p @ (sK17 @ sK34)) <- {134, 330, 560} [forward demodulation 7645,7339] 126.57/124.69 7662. 594 <=> ($false = p @ (sK17 @ sK34)) [avatar definition] 126.57/124.69 7663. ($false = p @ (sK17 @ sK34)) <- {594} [avatar component clause 7662] 126.57/124.69 7664. 594 | 252 | ~134 | ~330 | ~560 [avatar split clause 7657,7338,4408,2300,4084,7662] 126.57/124.69 7665. ($false = $true) | ($false = p @ (sK17 @ X4)) | ($false = rel_s4 @ sK18 @ X4) <- {236} [superposition 4042,258] 126.57/124.69 7666. ($false = $true) | ($false = p @ (sK17 @ X6)) | ($false = rel_s4 @ X5 @ X6) | ($false = rel_s4 @ sK18 @ X7) | ($false = rel_s4 @ X7 @ X5) <- {236} [superposition 4042,253] 126.57/124.69 7667. ($false = $true) | ($false = p @ (sK17 @ X154)) | ($false = rel_s4 @ (sK17 @ sK18) @ X154) | ($false = exists_in_world @ X155 @ X156) | ($false = rel_s4 @ X156 @ sK18) | ($false = rel_s4 @ sK13 @ X156) | ($false = rel_s4 @ X156 @ X157) | ($true = big_q @ X155 @ X157) <- {6, 236} [superposition 4042,1389] 126.57/124.69 7668. ($false = $true) | ($false = p @ (sK17 @ X158)) | ($false = rel_s4 @ (sK17 @ sK18) @ X158) | ($false = exists_in_world @ X159 @ X160) | ($false = rel_s4 @ X160 @ sK18) | ($false = rel_s4 @ sK13 @ X160) | ($false = rel_s4 @ X160 @ X161) | ($true = p @ X161) <- {6, 236} [superposition 4042,1385] 126.57/124.69 7669. ($false = $true) | ($false = p @ (sK17 @ X162)) | ($false = rel_s4 @ sK23 @ X162) <- {92, 236} [superposition 4042,2125] 126.57/124.69 7670. ($false = $true) | ($false = p @ (sK17 @ X163)) | ($false = rel_s4 @ sK29 @ X163) <- {236, 286} [superposition 4042,4253] 126.57/124.69 7671. ($false = $true) | ($false = p @ (sK17 @ X164)) | ($false = rel_s4 @ sK31 @ X164) <- {236, 314} [superposition 4042,4349] 126.57/124.69 7672. ($false = $true) | ($false = p @ (sK17 @ X3)) | ($false = rel_s4 @ sK18 @ X3) <- {236} [superposition 258,4042] 126.57/124.69 7673. ($false = $true) | ($false = rel_s4 @ sK18 @ X5) | ($false = rel_s4 @ X5 @ X4) | ($false = p @ (sK17 @ X6)) | ($false = rel_s4 @ X4 @ X6) <- {236} [superposition 253,4042] 126.57/124.69 7707. ($false != $false) | rel_s4 @ sK18 = sK0 @ vSIGMA_16 @ X272 | vSIGMA_16 = X272 | ($true != X272 @ (sK0 @ vSIGMA_16 @ X272)) | vSIGMA_16 = X271 | ($true != X271 @ (sK0 @ vSIGMA_16 @ X271)) | ($false = p @ (sK17 @ X273)) | ($false = rel_s4 @ (sK10 @ (rel_s4 @ sK18) @ (sK0 @ vSIGMA_16 @ X271)) @ X273) <- {236} [superposition 1567,4042] 126.57/124.69 7709. ($false != $false) | rel_s4 @ sK18 = sK0 @ vSIGMA_16 @ X277 | vSIGMA_16 = X277 | ($true != X277 @ (sK0 @ vSIGMA_16 @ X277)) | vSIGMA_16 = X276 | ($true != X276 @ (sK0 @ vSIGMA_16 @ X276)) | ($false = p @ (sK17 @ X278)) | ($false = rel_s4 @ (sK10 @ (sK0 @ vSIGMA_16 @ X276) @ (rel_s4 @ sK18)) @ X278) <- {236} [superposition 1568,4042] 126.57/124.69 7711. ($false = $true) | ($false = exists_in_world @ X281 @ X282) | ($false = rel_s4 @ X282 @ sK18) | ($false = rel_s4 @ sK13 @ X282) | ($false = rel_s4 @ X282 @ X283) | ($true = big_q @ X281 @ X283) | ($false = p @ (sK17 @ X284)) | ($false = rel_s4 @ (sK17 @ sK18) @ X284) <- {6, 236} [superposition 1389,4042] 126.57/124.69 7712. ($false = $true) | ($false = exists_in_world @ X285 @ X286) | ($false = rel_s4 @ X286 @ sK18) | ($false = rel_s4 @ sK13 @ X286) | ($false = rel_s4 @ X286 @ X287) | ($true = p @ X287) | ($false = p @ (sK17 @ X288)) | ($false = rel_s4 @ (sK17 @ sK18) @ X288) <- {6, 236} [superposition 1385,4042] 126.57/124.69 7713. ($false = vOR_37 @ (vNOT_33 @ $false) @ (p @ (sK17 @ sK18))) | ($false = exists_in_world @ X289 @ X290) | ($false = rel_s4 @ X290 @ sK18) | ($false = rel_s4 @ sK13 @ X290) | ($false = rel_s4 @ X290 @ X291) | ($true = big_q @ X289 @ X291) | ($false = p @ (sK17 @ X292)) | ($false = rel_s4 @ (sK17 @ sK18) @ X292) <- {6, 236} [superposition 959,4042] 126.57/124.69 7714. ($false = vOR_37 @ (vNOT_33 @ $false) @ (p @ (sK17 @ sK18))) | ($false = exists_in_world @ X293 @ X294) | ($false = rel_s4 @ X294 @ sK18) | ($false = rel_s4 @ sK13 @ X294) | ($false = rel_s4 @ X294 @ X295) | ($true = p @ X295) | ($false = p @ (sK17 @ X296)) | ($false = rel_s4 @ (sK17 @ sK18) @ X296) <- {6, 236} [superposition 966,4042] 126.57/124.69 7718. ($false = $true) | ($false = p @ (sK17 @ X300)) | ($false = rel_s4 @ sK29 @ X300) <- {236, 286} [superposition 4253,4042] 126.57/124.69 7719. ($false = vOR_37 @ (vNOT_33 @ $false) @ (big_r @ sK21 @ sK29)) | ($false = p @ (sK17 @ X301)) | ($false = rel_s4 @ sK29 @ X301) <- {104, 236} [superposition 2172,4042] 126.57/124.69 7720. ($false = $true) | ($false = p @ (sK17 @ X302)) | ($false = rel_s4 @ sK31 @ X302) <- {236, 314} [superposition 4349,4042] 126.57/124.69 7721. ($false = vOR_37 @ (vNOT_33 @ $false) @ (big_r @ sK25 @ sK31)) | ($false = p @ (sK17 @ X303)) | ($false = rel_s4 @ sK31 @ X303) <- {116, 236} [superposition 2224,4042] 126.57/124.69 7722. ($false = vOR_37 @ (vNOT_33 @ $false) @ (big_r @ sK25 @ sK34)) | ($false = p @ (sK17 @ X304)) | ($false = rel_s4 @ sK34 @ X304) <- {236, 330} [superposition 4409,4042] 126.57/124.69 7723. ($false != $false) | ($false = p @ (sK17 @ sK18)) | ($false = rel_s4 @ sK18 @ sK18) <- {236} [equality factoring 4042] 126.57/124.69 7724. ($false = p @ (sK17 @ sK18)) | ($false = rel_s4 @ sK18 @ sK18) <- {236} [trivial inequality removal 7723] 126.57/124.69 7727. rel_s4 @ sK18 = sK0 @ vSIGMA_16 @ X277 | vSIGMA_16 = X277 | ($true != X277 @ (sK0 @ vSIGMA_16 @ X277)) | vSIGMA_16 = X276 | ($true != X276 @ (sK0 @ vSIGMA_16 @ X276)) | ($false = p @ (sK17 @ X278)) | ($false = rel_s4 @ (sK10 @ (sK0 @ vSIGMA_16 @ X276) @ (rel_s4 @ sK18)) @ X278) <- {236} [trivial inequality removal 7709] 126.57/124.69 7729. rel_s4 @ sK18 = sK0 @ vSIGMA_16 @ X272 | vSIGMA_16 = X272 | ($true != X272 @ (sK0 @ vSIGMA_16 @ X272)) | vSIGMA_16 = X271 | ($true != X271 @ (sK0 @ vSIGMA_16 @ X271)) | ($false = p @ (sK17 @ X273)) | ($false = rel_s4 @ (sK10 @ (rel_s4 @ sK18) @ (sK0 @ vSIGMA_16 @ X271)) @ X273) <- {236} [trivial inequality removal 7707] 126.57/124.69 7737. 596 <=> ! [X5,X7,X6] : (($false = p @ (sK17 @ X6)) | ($false = rel_s4 @ sK18 @ X7) | ($false = rel_s4 @ X7 @ X5) | ($false = rel_s4 @ X5 @ X6)) [avatar definition] 126.57/124.69 7739. 596 | 0 | ~236 [avatar split clause 7666,4041,315,7737] 126.57/124.69 7741. 598 <=> ! [X162] : (($false = p @ (sK17 @ X162)) | ($false = rel_s4 @ sK23 @ X162)) [avatar definition] 126.57/124.69 7743. 598 | 0 | ~92 | ~236 [avatar split clause 7669,4041,2124,315,7741] 126.57/124.69 7745. 600 <=> ! [X163] : (($false = p @ (sK17 @ X163)) | ($false = rel_s4 @ sK29 @ X163)) [avatar definition] 126.57/124.69 7746. ($false = rel_s4 @ sK29 @ X163) | ($false = p @ (sK17 @ X163)) <- {600} [avatar component clause 7745] 126.57/124.69 7747. 600 | 0 | ~236 | ~286 [avatar split clause 7670,4252,4041,315,7745] 126.57/124.69 7749. 602 <=> ! [X164] : (($false = p @ (sK17 @ X164)) | ($false = rel_s4 @ sK31 @ X164)) [avatar definition] 126.57/124.69 7751. 602 | 0 | ~236 | ~314 [avatar split clause 7671,4348,4041,315,7749] 126.57/124.69 7752. 596 | 0 | ~236 [avatar split clause 7673,4041,315,7737] 126.57/124.69 7754. 604 <=> ! [X273,X271 : (($i > $o) > $o)] : (vSIGMA_16 = X271 | ($false = rel_s4 @ (sK10 @ (rel_s4 @ sK18) @ (sK0 @ vSIGMA_16 @ X271)) @ X273) | ($false = p @ (sK17 @ X273)) | ($true != X271 @ (sK0 @ vSIGMA_16 @ X271))) [avatar definition] 126.57/124.69 7756. 604 | 248 | ~236 [avatar split clause 7729,4041,4070,7754] 126.57/124.69 7758. 606 <=> ! [X278,X276 : (($i > $o) > $o)] : (vSIGMA_16 = X276 | ($false = rel_s4 @ (sK10 @ (sK0 @ vSIGMA_16 @ X276) @ (rel_s4 @ sK18)) @ X278) | ($false = p @ (sK17 @ X278)) | ($true != X276 @ (sK0 @ vSIGMA_16 @ X276))) [avatar definition] 126.57/124.69 7760. 606 | 248 | ~236 [avatar split clause 7727,4041,4070,7758] 126.57/124.69 7761. 600 | 0 | ~236 | ~286 [avatar split clause 7718,4252,4041,315,7745] 126.57/124.69 7762. ($false = vOR_37 @ (vNOT_33 @ $false) @ $false) | ($false = p @ (sK17 @ X301)) | ($false = rel_s4 @ sK29 @ X301) <- {104, 236, 288} [forward demodulation 7719,4260] 126.57/124.69 7763. 600 | 252 | ~104 | ~236 | ~288 [avatar split clause 7762,4259,4041,2171,4084,7745] 126.57/124.69 7764. 602 | 0 | ~236 | ~314 [avatar split clause 7720,4348,4041,315,7749] 126.57/124.69 7765. ($false = vOR_37 @ (vNOT_33 @ $false) @ $false) | ($false = p @ (sK17 @ X303)) | ($false = rel_s4 @ sK31 @ X303) <- {116, 236, 316} [forward demodulation 7721,4356] 126.57/124.69 7766. 602 | 252 | ~116 | ~236 | ~316 [avatar split clause 7765,4355,4041,2223,4084,7749] 126.57/124.69 7767. ($false = vOR_37 @ (vNOT_33 @ $false) @ $false) | ($false = p @ (sK17 @ X304)) | ($false = rel_s4 @ sK34 @ X304) <- {236, 330, 560} [forward demodulation 7722,7339] 126.57/124.69 7769. 608 <=> ! [X304] : (($false = p @ (sK17 @ X304)) | ($false = rel_s4 @ sK34 @ X304)) [avatar definition] 126.57/124.69 7770. ($false = rel_s4 @ sK34 @ X304) | ($false = p @ (sK17 @ X304)) <- {608} [avatar component clause 7769] 126.57/124.69 7771. 608 | 252 | ~236 | ~330 | ~560 [avatar split clause 7767,7338,4408,4041,4084,7769] 126.57/124.69 7772. ($false = $true) | ($false = p @ (sK17 @ X2)) | ($false = rel_s4 @ sK19 @ X2) <- {254} [superposition 4143,258] 126.57/124.69 7773. ($false = $true) | ($false = p @ (sK17 @ X4)) | ($false = rel_s4 @ X3 @ X4) | ($false = rel_s4 @ sK19 @ X5) | ($false = rel_s4 @ X5 @ X3) <- {254} [superposition 4143,253] 126.57/124.69 7774. ($false = $true) | ($false = p @ (sK17 @ X152)) | ($false = rel_s4 @ (sK17 @ sK19) @ X152) | ($false = exists_in_world @ X153 @ X154) | ($false = rel_s4 @ X154 @ sK19) | ($false = rel_s4 @ sK13 @ X154) | ($false = rel_s4 @ X154 @ X155) | ($true = big_q @ X153 @ X155) <- {6, 254} [superposition 4143,1389] 126.57/124.69 7775. ($false = $true) | ($false = p @ (sK17 @ X156)) | ($false = rel_s4 @ (sK17 @ sK19) @ X156) | ($false = exists_in_world @ X157 @ X158) | ($false = rel_s4 @ X158 @ sK19) | ($false = rel_s4 @ sK13 @ X158) | ($false = rel_s4 @ X158 @ X159) | ($true = p @ X159) <- {6, 254} [superposition 4143,1385] 126.57/124.69 7776. ($false = $true) | ($false = p @ (sK17 @ X160)) | ($false = rel_s4 @ sK22 @ X160) <- {74, 254} [superposition 4143,2057] 126.57/124.69 7777. ($false = $true) | ($false = p @ (sK17 @ X161)) | ($false = rel_s4 @ sK28 @ X161) <- {254, 270} [superposition 4143,4196] 126.57/124.69 7778. ($false = $true) | ($false = p @ (sK17 @ X162)) | ($false = rel_s4 @ sK30 @ X162) <- {254, 300} [superposition 4143,4301] 126.57/124.69 7779. ($false = $true) | ($false = p @ (sK17 @ X1)) | ($false = rel_s4 @ sK19 @ X1) <- {254} [superposition 258,4143] 126.57/124.69 7780. ($false = $true) | ($false = rel_s4 @ sK19 @ X3) | ($false = rel_s4 @ X3 @ X2) | ($false = p @ (sK17 @ X4)) | ($false = rel_s4 @ X2 @ X4) <- {254} [superposition 253,4143] 126.57/124.69 7818. ($false = $true) | ($false = exists_in_world @ X279 @ X280) | ($false = rel_s4 @ X280 @ sK19) | ($false = rel_s4 @ sK13 @ X280) | ($false = rel_s4 @ X280 @ X281) | ($true = big_q @ X279 @ X281) | ($false = p @ (sK17 @ X282)) | ($false = rel_s4 @ (sK17 @ sK19) @ X282) <- {6, 254} [superposition 1389,4143] 126.57/124.69 7819. ($false = $true) | ($false = exists_in_world @ X283 @ X284) | ($false = rel_s4 @ X284 @ sK19) | ($false = rel_s4 @ sK13 @ X284) | ($false = rel_s4 @ X284 @ X285) | ($true = p @ X285) | ($false = p @ (sK17 @ X286)) | ($false = rel_s4 @ (sK17 @ sK19) @ X286) <- {6, 254} [superposition 1385,4143] 126.57/124.69 7820. ($false = vOR_37 @ (vNOT_33 @ $false) @ (p @ (sK17 @ sK19))) | ($false = exists_in_world @ X287 @ X288) | ($false = rel_s4 @ X288 @ sK19) | ($false = rel_s4 @ sK13 @ X288) | ($false = rel_s4 @ X288 @ X289) | ($true = big_q @ X287 @ X289) | ($false = p @ (sK17 @ X290)) | ($false = rel_s4 @ (sK17 @ sK19) @ X290) <- {6, 254} [superposition 959,4143] 126.57/124.69 7821. ($false = vOR_37 @ (vNOT_33 @ $false) @ (p @ (sK17 @ sK19))) | ($false = exists_in_world @ X291 @ X292) | ($false = rel_s4 @ X292 @ sK19) | ($false = rel_s4 @ sK13 @ X292) | ($false = rel_s4 @ X292 @ X293) | ($true = p @ X293) | ($false = p @ (sK17 @ X294)) | ($false = rel_s4 @ (sK17 @ sK19) @ X294) <- {6, 254} [superposition 966,4143] 126.57/124.69 7822. ($false = $true) | ($false = p @ (sK17 @ X295)) | ($false = rel_s4 @ sK22 @ X295) <- {74, 254} [superposition 2057,4143] 126.57/124.69 7823. ($false = vOR_37 @ (vNOT_33 @ $false) @ (big_q @ sK20 @ sK22)) | ($false = p @ (sK17 @ X296)) | ($false = rel_s4 @ sK22 @ X296) <- {52, 254} [superposition 1304,4143] 126.57/124.69 7824. ($false = $true) | ($false = p @ (sK17 @ X297)) | ($false = rel_s4 @ sK28 @ X297) <- {254, 270} [superposition 4196,4143] 126.57/124.69 7825. ($false = vOR_37 @ (vNOT_33 @ $false) @ (big_q @ sK20 @ sK28)) | ($false = p @ (sK17 @ X298)) | ($false = rel_s4 @ sK28 @ X298) <- {102, 254} [superposition 2159,4143] 126.57/124.69 7826. ($false = $true) | ($false = p @ (sK17 @ X299)) | ($false = rel_s4 @ sK30 @ X299) <- {254, 300} [superposition 4301,4143] 126.57/124.69 7827. ($false = vOR_37 @ (vNOT_33 @ $false) @ (big_q @ sK24 @ sK30)) | ($false = p @ (sK17 @ X300)) | ($false = rel_s4 @ sK30 @ X300) <- {108, 254} [superposition 2193,4143] 126.57/124.69 7828. ($false = vOR_37 @ (vNOT_33 @ $false) @ (big_q @ sK24 @ sK33)) | ($false = p @ (sK17 @ X301)) | ($false = rel_s4 @ sK33 @ X301) <- {254, 328} [superposition 4396,4143] 126.57/124.69 7829. ($false != $false) | ($false = p @ (sK17 @ sK19)) | ($false = rel_s4 @ sK19 @ sK19) <- {254} [equality factoring 4143] 126.57/124.69 7830. ($false = p @ (sK17 @ sK19)) | ($false = rel_s4 @ sK19 @ sK19) <- {254} [trivial inequality removal 7829] 126.57/124.69 7842. 610 <=> ! [X3,X5,X4] : (($false = p @ (sK17 @ X4)) | ($false = rel_s4 @ sK19 @ X5) | ($false = rel_s4 @ X5 @ X3) | ($false = rel_s4 @ X3 @ X4)) [avatar definition] 126.57/124.69 7843. ($false = rel_s4 @ sK19 @ X5) | ($false = p @ (sK17 @ X4)) | ($false = rel_s4 @ X5 @ X3) | ($false = rel_s4 @ X3 @ X4) <- {610} [avatar component clause 7842] 126.57/124.69 7844. 610 | 0 | ~254 [avatar split clause 7773,4142,315,7842] 126.57/124.69 7846. 612 <=> ! [X152] : (($false = p @ (sK17 @ X152)) | ($false = rel_s4 @ (sK17 @ sK19) @ X152)) [avatar definition] 126.57/124.69 7848. 256 | 612 | 0 | ~6 | ~254 [avatar split clause 7774,4142,368,315,7846,4146] 126.57/124.69 7849. 260 | 612 | 0 | ~6 | ~254 [avatar split clause 7775,4142,368,315,7846,4156] 126.57/124.69 7851. 614 <=> ! [X160] : (($false = p @ (sK17 @ X160)) | ($false = rel_s4 @ sK22 @ X160)) [avatar definition] 126.57/124.69 7852. ($false = rel_s4 @ sK22 @ X160) | ($false = p @ (sK17 @ X160)) <- {614} [avatar component clause 7851] 126.57/124.69 7853. 614 | 0 | ~74 | ~254 [avatar split clause 7776,4142,2056,315,7851] 126.57/124.69 7855. 616 <=> ! [X161] : (($false = p @ (sK17 @ X161)) | ($false = rel_s4 @ sK28 @ X161)) [avatar definition] 126.57/124.69 7856. ($false = rel_s4 @ sK28 @ X161) | ($false = p @ (sK17 @ X161)) <- {616} [avatar component clause 7855] 126.57/124.69 7857. 616 | 0 | ~254 | ~270 [avatar split clause 7777,4195,4142,315,7855] 126.57/124.69 7859. 618 <=> ! [X162] : (($false = p @ (sK17 @ X162)) | ($false = rel_s4 @ sK30 @ X162)) [avatar definition] 126.57/124.69 7860. ($false = rel_s4 @ sK30 @ X162) | ($false = p @ (sK17 @ X162)) <- {618} [avatar component clause 7859] 126.57/124.69 7861. 618 | 0 | ~254 | ~300 [avatar split clause 7778,4300,4142,315,7859] 126.57/124.69 7862. 610 | 0 | ~254 [avatar split clause 7780,4142,315,7842] 126.57/124.69 7863. 612 | 256 | 0 | ~6 | ~254 [avatar split clause 7818,4142,368,315,4146,7846] 126.57/124.69 7864. 612 | 260 | 0 | ~6 | ~254 [avatar split clause 7819,4142,368,315,4156,7846] 126.57/124.69 7865. ($false = vOR_37 @ (vNOT_33 @ $false) @ $false) | ($false = exists_in_world @ X287 @ X288) | ($false = rel_s4 @ X288 @ sK19) | ($false = rel_s4 @ sK13 @ X288) | ($false = rel_s4 @ X288 @ X289) | ($true = big_q @ X287 @ X289) | ($false = p @ (sK17 @ X290)) | ($false = rel_s4 @ (sK17 @ sK19) @ X290) <- {6, 210, 254} [forward demodulation 7820,3779] 126.57/124.69 7866. 612 | 256 | 252 | ~6 | ~210 | ~254 [avatar split clause 7865,4142,3778,368,4084,4146,7846] 126.57/124.69 7867. ($false = vOR_37 @ (vNOT_33 @ $false) @ $false) | ($false = exists_in_world @ X291 @ X292) | ($false = rel_s4 @ X292 @ sK19) | ($false = rel_s4 @ sK13 @ X292) | ($false = rel_s4 @ X292 @ X293) | ($true = p @ X293) | ($false = p @ (sK17 @ X294)) | ($false = rel_s4 @ (sK17 @ sK19) @ X294) <- {6, 210, 254} [forward demodulation 7821,3779] 126.57/124.69 7868. 612 | 260 | 252 | ~6 | ~210 | ~254 [avatar split clause 7867,4142,3778,368,4084,4156,7846] 126.57/124.69 7869. 614 | 0 | ~74 | ~254 [avatar split clause 7822,4142,2056,315,7851] 126.57/124.69 7870. ($false = vOR_37 @ (vNOT_33 @ $false) @ $false) | ($false = p @ (sK17 @ X296)) | ($false = rel_s4 @ sK22 @ X296) <- {52, 76, 254} [forward demodulation 7823,2064] 126.57/124.69 7871. 614 | 252 | ~52 | ~76 | ~254 [avatar split clause 7870,4142,2063,1303,4084,7851] 126.57/124.69 7872. 616 | 0 | ~254 | ~270 [avatar split clause 7824,4195,4142,315,7855] 126.57/124.69 7873. ($false = vOR_37 @ (vNOT_33 @ $false) @ $false) | ($false = p @ (sK17 @ X298)) | ($false = rel_s4 @ sK28 @ X298) <- {102, 254, 272} [forward demodulation 7825,4203] 126.57/124.69 7874. 616 | 252 | ~102 | ~254 | ~272 [avatar split clause 7873,4202,4142,2158,4084,7855] 126.57/124.69 7875. 618 | 0 | ~254 | ~300 [avatar split clause 7826,4300,4142,315,7859] 126.57/124.69 7876. ($false = vOR_37 @ (vNOT_33 @ $false) @ $false) | ($false = p @ (sK17 @ X300)) | ($false = rel_s4 @ sK30 @ X300) <- {108, 254, 302} [forward demodulation 7827,4308] 126.57/124.69 7877. 618 | 252 | ~108 | ~254 | ~302 [avatar split clause 7876,4307,4142,2192,4084,7859] 126.57/124.69 7878. ($false = vOR_37 @ (vNOT_33 @ $false) @ $false) | ($false = p @ (sK17 @ X301)) | ($false = rel_s4 @ sK33 @ X301) <- {254, 328, 546} [forward demodulation 7828,7289] 126.57/124.69 7880. 620 <=> ! [X301] : (($false = p @ (sK17 @ X301)) | ($false = rel_s4 @ sK33 @ X301)) [avatar definition] 126.57/124.69 7881. ($false = rel_s4 @ sK33 @ X301) | ($false = p @ (sK17 @ X301)) <- {620} [avatar component clause 7880] 126.57/124.69 7882. 620 | 252 | ~254 | ~328 | ~546 [avatar split clause 7878,7288,4395,4142,4084,7880] 126.57/124.69 7883. 138 | 0 | ~26 | ~200 [avatar split clause 7537,3750,798,315,2315] 126.57/124.69 7884. 138 | 0 | ~26 | ~200 [avatar split clause 7490,3750,798,315,2315] 126.57/124.69 7906. ($false = p @ (sK17 @ sK19)) | ($false = rel_s4 @ sK19 @ sK19) <- {254} [trivial inequality removal 7829] 126.57/124.69 7907. 138 | 0 | ~254 [avatar split clause 7779,4142,315,2315] 126.57/124.69 7908. 138 | 0 | ~254 [avatar split clause 7772,4142,315,2315] 126.57/124.69 7909. ($false = $true) | ($false = p @ (sK17 @ sK19)) <- {138} [superposition 2316,258] 126.57/124.69 7916. ($false = $true) | ($false = p @ (sK17 @ sK19)) <- {138} [superposition 258,2316] 126.57/124.69 7929. ($false != $false) | rel_s4 @ sK19 = rel_s4 @ X153 | ($false = rel_s4 @ sK19 @ X154) | ($false = rel_s4 @ X154 @ X153) | ($false = p @ (sK17 @ (sK10 @ (rel_s4 @ X153) @ (rel_s4 @ sK19)))) <- {138} [superposition 1726,2316] 126.57/124.69 7976. ($false = $true) | ($false = p @ (sK17 @ X2)) | ($false = rel_s4 @ sK19 @ X2) <- {254} [superposition 4143,258] 126.57/124.69 7978. ($false = $true) | ($false = p @ (sK17 @ X152)) | ($false = rel_s4 @ (sK17 @ sK19) @ X152) | ($false = exists_in_world @ X153 @ X154) | ($false = rel_s4 @ X154 @ sK19) | ($false = rel_s4 @ sK13 @ X154) | ($false = rel_s4 @ X154 @ X155) | ($true = big_q @ X153 @ X155) <- {6, 254} [superposition 4143,1389] 126.57/124.69 7983. ($false = $true) | ($false = p @ (sK17 @ X1)) | ($false = rel_s4 @ sK19 @ X1) <- {254} [superposition 258,4143] 126.57/124.69 8022. ($false = $true) | ($false = exists_in_world @ X279 @ X280) | ($false = rel_s4 @ X280 @ sK19) | ($false = rel_s4 @ sK13 @ X280) | ($false = rel_s4 @ X280 @ X281) | ($true = big_q @ X279 @ X281) | ($false = p @ (sK17 @ X282)) | ($false = rel_s4 @ (sK17 @ sK19) @ X282) <- {6, 254} [superposition 1389,4143] 126.57/124.69 8024. ($false = vOR_37 @ (vNOT_33 @ $false) @ (p @ (sK17 @ sK19))) | ($false = exists_in_world @ X287 @ X288) | ($false = rel_s4 @ X288 @ sK19) | ($false = rel_s4 @ sK13 @ X288) | ($false = rel_s4 @ X288 @ X289) | ($true = big_q @ X287 @ X289) | ($false = p @ (sK17 @ X290)) | ($false = rel_s4 @ (sK17 @ sK19) @ X290) <- {6, 254} [superposition 959,4143] 126.57/124.69 8033. ($false != $false) | ($false = p @ (sK17 @ sK19)) | ($false = rel_s4 @ sK19 @ sK19) <- {254} [equality factoring 4143] 126.57/124.69 8034. ($false = p @ (sK17 @ sK19)) | ($false = rel_s4 @ sK19 @ sK19) <- {254} [trivial inequality removal 8033] 126.57/124.69 8047. ($false = rel_s4 @ sK19 @ X1) | vSIGMA_16 = X0 | ($true != X0 @ (sK0 @ vSIGMA_16 @ X0)) | ($true != X0 @ (sK0 @ vSIGMA_16 @ X0)) | vSIGMA_16 = X0 <- {266} [superposition 396,4172] 126.57/124.69 8055. (vSIGMA_16 @ (rel_s4 @ sK19) != X17 @ (rel_s4 @ sK19)) | vSIGMA_16 = X17 | vSIGMA_16 = X16 | ($true != X16 @ (sK0 @ vSIGMA_16 @ X16)) | ($true != X17 @ (sK0 @ vSIGMA_16 @ X17)) | ($true != X16 @ (sK0 @ vSIGMA_16 @ X16)) | vSIGMA_16 = X16 <- {266} [superposition 1562,4172] 126.57/124.69 8063. ($false = vSIGMA_16 @ (rel_s4 @ sK19)) | vSIGMA_16 = X36 | ($true != X36 @ (sK0 @ vSIGMA_16 @ X36)) | ($true != X36 @ (sK0 @ vSIGMA_16 @ X36)) | vSIGMA_16 = X36 <- {266} [superposition 330,4172] 126.57/124.69 8065. ($false = rel_s4 @ sK19 @ (sK16 @ vSIGMA_16)) | vPI_16 = vSIGMA_16 | ($true = sK0 @ vSIGMA_16 @ vPI_16 @ X38) | ($true != vPI_16 @ (sK0 @ vSIGMA_16 @ vPI_16)) | vPI_16 = vSIGMA_16 <- {266} [superposition 544,4172] 126.57/124.69 8067. ($false = rel_s4 @ sK19 @ (sK16 @ vSIGMA_16)) | vPI_16 = vSIGMA_16 | ($true = sK0 @ vSIGMA_16 @ vPI_16 @ X38) | ($true != vPI_16 @ (sK0 @ vSIGMA_16 @ vPI_16)) <- {266} [duplicate literal removal 8065] 126.57/124.69 8068. ($false = rel_s4 @ sK19 @ (sK16 @ vSIGMA_16)) | vPI_16 = vSIGMA_16 | ($true = sK0 @ vSIGMA_16 @ vPI_16 @ X38) | ($false = sK0 @ vSIGMA_16 @ vPI_16 @ sK36) <- {266} [HOL SIGMA constant elimination 8067] 126.57/124.69 8070. ($false = vSIGMA_16 @ (rel_s4 @ sK19)) | vSIGMA_16 = X36 | ($true != X36 @ (sK0 @ vSIGMA_16 @ X36)) <- {266} [duplicate literal removal 8063] 126.57/124.69 8071. ($false = rel_s4 @ sK19 @ X37) | vSIGMA_16 = X36 | ($true != X36 @ (sK0 @ vSIGMA_16 @ X36)) <- {266} [HOL PI constant elimination 8070] 126.57/124.69 8079. (vSIGMA_16 @ (rel_s4 @ sK19) != X17 @ (rel_s4 @ sK19)) | vSIGMA_16 = X17 | vSIGMA_16 = X16 | ($true != X16 @ (sK0 @ vSIGMA_16 @ X16)) | ($true != X17 @ (sK0 @ vSIGMA_16 @ X17)) <- {266} [duplicate literal removal 8055] 126.57/124.69 8087. ($false = rel_s4 @ sK19 @ X1) | vSIGMA_16 = X0 | ($true != X0 @ (sK0 @ vSIGMA_16 @ X0)) <- {266} [duplicate literal removal 8047] 126.57/124.69 8091. 622 <=> ! [X0 : (($i > $o) > $o)] : (vSIGMA_16 = X0 | ($true != X0 @ (sK0 @ vSIGMA_16 @ X0))) [avatar definition] 126.57/124.69 8092. ($true != X0 @ (sK0 @ vSIGMA_16 @ X0)) | vSIGMA_16 = X0 <- {622} [avatar component clause 8091] 126.57/124.69 8094. 624 <=> ! [X1] : ($false = rel_s4 @ sK19 @ X1) [avatar definition] 126.57/124.69 8096. 622 | 624 | ~266 [avatar split clause 8087,4171,8094,8091] 126.57/124.69 8098. 626 <=> ! [X17 : (($i > $o) > $o)] : ((vSIGMA_16 @ (rel_s4 @ sK19) != X17 @ (rel_s4 @ sK19)) | ($true != X17 @ (sK0 @ vSIGMA_16 @ X17)) | vSIGMA_16 = X17) [avatar definition] 126.57/124.69 8100. 622 | 626 | ~266 [avatar split clause 8079,4171,8098,8091] 126.57/124.69 8101. 622 | 624 | ~266 [avatar split clause 8071,4171,8094,8091] 126.57/124.69 8106. 628 <=> ($false = sK0 @ vSIGMA_16 @ vPI_16 @ sK36) [avatar definition] 126.57/124.69 8109. 630 <=> ! [X38] : ($true = sK0 @ vSIGMA_16 @ vPI_16 @ X38) [avatar definition] 126.57/124.69 8112. 633 <=> ($false != rel_s4 @ sK19 @ (sK16 @ vSIGMA_16)) [avatar definition] 126.57/124.69 8113. ($false != rel_s4 @ sK19 @ (sK16 @ vSIGMA_16)) <- {633} [avatar component clause 8112] 126.57/124.69 8115. 632 <=> ($false = rel_s4 @ sK19 @ (sK16 @ vSIGMA_16)) [avatar definition] 126.57/124.69 8116. ($false = rel_s4 @ sK19 @ (sK16 @ vSIGMA_16)) <- {632} [avatar component clause 8115] 126.57/124.69 8117. 628 | 630 | 422 | 632 | ~266 [avatar split clause 8068,4171,8115,5169,8109,8106] 126.57/124.69 8120. ($false = rel_s4 @ sK19 @ sK13) <- {225, 344, 371} [unit resulting resolution 3878,4684,4529] 126.57/124.69 8135. 634 <=> ($false = rel_s4 @ sK19 @ sK13) [avatar definition] 126.57/124.69 8136. ($false = rel_s4 @ sK19 @ sK13) <- {634} [avatar component clause 8135] 126.57/124.69 8137. 634 | 225 | ~344 | 371 [avatar split clause 8120,4683,4528,3877,8135] 126.57/124.69 8140. ($true != $true) | p = rel_s4 @ sK18 | ($false != p @ (sK10 @ (rel_s4 @ sK18) @ p)) | p = rel_s4 @ sK18 | ($false != p @ (sK10 @ (rel_s4 @ sK18) @ p)) <- {132} [superposition 409,4496] 126.57/124.69 8141. ($true != $true) | p = rel_s4 @ sK18 | ($false != p @ (sK10 @ (rel_s4 @ sK18) @ p)) <- {132} [duplicate literal removal 8140] 126.57/124.69 8142. p = rel_s4 @ sK18 | ($false != p @ (sK10 @ (rel_s4 @ sK18) @ p)) <- {132} [trivial inequality removal 8141] 126.57/124.69 8144. 636 <=> ($false = p @ (sK10 @ (rel_s4 @ sK18) @ p)) [avatar definition] 126.57/124.69 8145. ($false = p @ (sK10 @ (rel_s4 @ sK18) @ p)) <- {636} [avatar component clause 8144] 126.57/124.69 8147. 637 <=> ($false != p @ (sK10 @ (rel_s4 @ sK18) @ p)) [avatar definition] 126.57/124.69 8150. 639 <=> p != rel_s4 @ sK18 [avatar definition] 126.57/124.69 8151. p != rel_s4 @ sK18 <- {639} [avatar component clause 8150] 126.57/124.69 8153. 638 <=> p = rel_s4 @ sK18 [avatar definition] 126.57/124.69 8154. p = rel_s4 @ sK18 <- {638} [avatar component clause 8153] 126.57/124.69 8155. ~637 | 638 | ~132 [avatar split clause 8142,2297,8153,8147] 126.57/124.69 8159. ($false = $true) | ($false != p @ (sK10 @ p @ (rel_s4 @ sK18))) | p = rel_s4 @ sK18 | p = rel_s4 @ sK18 | ($true != rel_s4 @ sK18 @ (sK10 @ p @ (rel_s4 @ sK18))) <- {132} [superposition 4518,342] 126.57/124.69 8160. ($true != $true) | p = rel_s4 @ sK18 | ($false != p @ (sK10 @ p @ (rel_s4 @ sK18))) | ($false != p @ (sK10 @ p @ (rel_s4 @ sK18))) | p = rel_s4 @ sK18 <- {132} [superposition 577,4518] 126.57/124.69 8161. ($false = $true) | p = rel_s4 @ sK18 | ($true != rel_s4 @ sK18 @ (sK10 @ p @ (rel_s4 @ sK18))) | ($false != p @ (sK10 @ p @ (rel_s4 @ sK18))) | p = rel_s4 @ sK18 <- {132} [superposition 342,4518] 126.57/124.69 8162. ($false = $true) | p = rel_s4 @ sK18 | ($true != rel_s4 @ sK18 @ (sK10 @ p @ (rel_s4 @ sK18))) | ($false != p @ (sK10 @ p @ (rel_s4 @ sK18))) <- {132} [duplicate literal removal 8161] 126.57/124.69 8163. ($true != $true) | p = rel_s4 @ sK18 | ($false != p @ (sK10 @ p @ (rel_s4 @ sK18))) <- {132} [duplicate literal removal 8160] 126.57/124.69 8164. p = rel_s4 @ sK18 | ($false != p @ (sK10 @ p @ (rel_s4 @ sK18))) <- {132} [trivial inequality removal 8163] 126.57/124.69 8165. ($false = $true) | ($false != p @ (sK10 @ p @ (rel_s4 @ sK18))) | p = rel_s4 @ sK18 | ($true != rel_s4 @ sK18 @ (sK10 @ p @ (rel_s4 @ sK18))) <- {132} [duplicate literal removal 8159] 126.57/124.69 8170. 641 <=> ($true != rel_s4 @ sK18 @ (sK10 @ p @ (rel_s4 @ sK18))) [avatar definition] 126.57/124.69 8171. ($true != rel_s4 @ sK18 @ (sK10 @ p @ (rel_s4 @ sK18))) <- {641} [avatar component clause 8170] 126.57/124.69 8176. 643 <=> ($false != p @ (sK10 @ p @ (rel_s4 @ sK18))) [avatar definition] 126.57/124.69 8178. ~641 | 638 | ~643 | 0 | ~132 [avatar split clause 8165,2297,315,8176,8153,8170] 126.57/124.69 8179. ~643 | 638 | ~132 [avatar split clause 8164,2297,8153,8176] 126.57/124.69 8180. ~643 | ~641 | 638 | 0 | ~132 [avatar split clause 8162,2297,315,8153,8170,8176] 126.57/124.69 8181. ($false = p @ (sK10 @ p @ p)) <- {636, 638} [forward demodulation 8145,8154] 126.57/124.69 8186. 644 <=> ($false = p @ (sK10 @ p @ p)) [avatar definition] 126.57/124.69 8188. 644 | ~636 | ~638 [avatar split clause 8181,8153,8144,8186] 126.57/124.69 8294. ($false = vIMP_37 @ (exists_in_world @ sK21 @ sK18) @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ p)) @ (big_r @ sK21)))) <- {36, 638} [superposition 846,8154] 126.57/124.69 8296. ($false = vIMP_37 @ $true @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ p)) @ (big_r @ sK21)))) <- {64, 638} [superposition 1345,8154] 126.57/124.69 8297. ($false = vIMP_37 @ (exists_in_world @ sK25 @ sK18) @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ p)) @ (big_r @ sK25)))) <- {72, 638} [superposition 1432,8154] 126.57/124.69 8301. ($false = vIMP_37 @ $true @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ p)) @ (big_r @ sK25)))) <- {120, 638} [superposition 2234,8154] 126.57/124.69 8312. ($false != p @ sK23) <- {335, 638} [superposition 4444,8154] 126.57/124.69 8336. ($false = vOR_37 @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ p)) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p)))))) @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ p)) @ (big_r @ X51))))) | ($false = exists_in_world @ X51 @ sK18) | ($false = vOR_37 @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK18))) @ p))) @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK18))) @ (big_q @ X51))))) | ($false = rel_s4 @ sK13 @ sK18) <- {6, 638} [superposition 514,8154] 126.57/124.69 8347. ($false = vOR_37 @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ p)) @ p))) @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ p)) @ (big_q @ X83))))) | ($false = exists_in_world @ X83 @ sK18) | ($false = rel_s4 @ sK18 @ X84) | ($false = rel_s4 @ sK13 @ sK18) | ($true = big_r @ X83 @ X84) <- {6, 638} [superposition 707,8154] 126.57/124.69 8348. ($false = vOR_37 @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ p)) @ p))) @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ p)) @ (big_q @ X85))))) | ($false = exists_in_world @ X85 @ sK18) | ($false = rel_s4 @ sK18 @ X86) | ($false = rel_s4 @ sK13 @ sK18) | ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ X86 @ (sK17 @ X86))) @ (p @ (sK17 @ X86))) <- {6, 638} [superposition 725,8154] 126.57/124.69 8354. ($false = vOR_37 @ (vNOT_33 @ (p @ (sK17 @ sK18))) @ (p @ (sK17 @ sK18))) | ($false = exists_in_world @ X97 @ X98) | ($false = rel_s4 @ X98 @ sK18) | ($false = rel_s4 @ sK13 @ X98) | ($false = rel_s4 @ X98 @ X99) | ($true = big_q @ X97 @ X99) <- {6, 638} [superposition 959,8154] 126.57/124.69 8355. ($false = vOR_37 @ (vNOT_33 @ (p @ (sK17 @ sK18))) @ (p @ (sK17 @ sK18))) | ($false = exists_in_world @ X100 @ X101) | ($false = rel_s4 @ X101 @ sK18) | ($false = rel_s4 @ sK13 @ X101) | ($false = rel_s4 @ X101 @ X102) | ($true = p @ X102) <- {6, 638} [superposition 966,8154] 126.57/124.69 8374. ($false = p @ (sK10 @ X162 @ (big_q @ X163))) | big_q @ X163 = X162 | ($false = exists_in_world @ X163 @ sK18) | ($false = rel_s4 @ sK18 @ X164) | ($false = rel_s4 @ sK13 @ sK18) | ($true = big_r @ X163 @ X164) | ($true != X162 @ (sK10 @ X162 @ (big_q @ X163))) <- {6, 638} [superposition 1369,8154] 126.57/124.69 8375. ($false = p @ (sK10 @ (big_q @ X165) @ X166)) | big_q @ X165 = X166 | ($false = exists_in_world @ X165 @ sK18) | ($false = rel_s4 @ sK18 @ X167) | ($false = rel_s4 @ sK13 @ sK18) | ($true = big_r @ X165 @ X167) | ($true != X166 @ (sK10 @ (big_q @ X165) @ X166)) <- {6, 638} [superposition 1371,8154] 126.57/124.69 8377. ($false = p @ (sK10 @ (big_q @ X171) @ (rel_s4 @ X172))) | ($false != big_q @ X171 @ (sK10 @ (big_q @ X171) @ (rel_s4 @ X172))) | ($false = exists_in_world @ X171 @ sK18) | ($false = rel_s4 @ sK18 @ X173) | ($false = rel_s4 @ sK13 @ sK18) | ($true = big_r @ X171 @ X173) | rel_s4 @ X172 = big_q @ X171 <- {6, 638} [superposition 1375,8154] 126.57/124.69 8378. ($false = p @ (sK10 @ X174 @ (big_q @ X175))) | ($false != big_q @ X175 @ (sK10 @ X174 @ (big_q @ X175))) | ($false = exists_in_world @ X175 @ sK18) | ($false = rel_s4 @ sK18 @ X176) | ($false = rel_s4 @ sK13 @ sK18) | ($true = big_r @ X175 @ X176) | big_q @ X175 = X174 <- {6, 638} [superposition 1376,8154] 126.57/124.69 8379. ($true = p @ (sK17 @ sK18)) | ($false = exists_in_world @ X177 @ X178) | ($false = rel_s4 @ X178 @ sK18) | ($false = rel_s4 @ sK13 @ X178) | ($false = rel_s4 @ X178 @ X179) | ($true = p @ X179) <- {6, 638} [superposition 1385,8154] 126.57/124.69 8380. ($true = p @ (sK17 @ sK18)) | ($false = exists_in_world @ X180 @ X181) | ($false = rel_s4 @ X181 @ sK18) | ($false = rel_s4 @ sK13 @ X181) | ($false = rel_s4 @ X181 @ X182) | ($true = big_q @ X180 @ X182) <- {6, 638} [superposition 1389,8154] 126.57/124.69 8383. ($false = p @ (sK10 @ (big_q @ X187) @ (exists_in_world @ X188))) | ($false != big_q @ X187 @ (sK10 @ (big_q @ X187) @ (exists_in_world @ X188))) | ($false = exists_in_world @ X187 @ sK18) | ($false = rel_s4 @ sK18 @ X189) | ($false = rel_s4 @ sK13 @ sK18) | ($true = big_r @ X187 @ X189) | exists_in_world @ X188 = big_q @ X187 <- {6, 638} [superposition 1449,8154] 126.57/124.69 8424. ($false != big_q @ X315 @ (sK10 @ p @ (big_q @ X315))) | rel_s4 @ sK18 = big_q @ X315 | ($false = exists_in_world @ X315 @ sK18) | ($false = rel_s4 @ sK18 @ X316) | ($false = rel_s4 @ sK13 @ sK18) | ($true = big_r @ X315 @ X316) <- {6, 638} [superposition 2519,8154] 126.57/124.69 8435. ($false != big_q @ X345 @ (sK10 @ (big_q @ X345) @ p)) | rel_s4 @ sK18 = big_q @ X345 | ($false = exists_in_world @ X345 @ sK18) | ($false = rel_s4 @ sK18 @ X346) | ($false = rel_s4 @ sK13 @ sK18) | ($true = big_r @ X345 @ X346) <- {6, 638} [superposition 2626,8154] 126.57/124.69 8502. ($false = p @ (sK17 @ (sK10 @ (rel_s4 @ sK13) @ p))) | ($false = rel_s4 @ sK13 @ sK18) | rel_s4 @ sK13 = rel_s4 @ sK18 <- {130, 638} [superposition 3737,8154] 126.57/124.69 8503. ($false = p @ (sK17 @ (sK10 @ p @ (rel_s4 @ sK13)))) | ($false = rel_s4 @ sK13 @ sK18) | rel_s4 @ sK13 = rel_s4 @ sK18 <- {130, 638} [superposition 3739,8154] 126.57/124.69 8506. ($false = p @ (sK17 @ (sK10 @ (rel_s4 @ sK19) @ p))) | ($false = rel_s4 @ sK19 @ sK18) | rel_s4 @ sK18 = rel_s4 @ sK19 <- {138, 638} [superposition 4137,8154] 126.57/124.69 8509. ($false = vIMP_37 @ $true @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ p)) @ (big_r @ sK21)))) <- {36, 58, 638} [forward demodulation 8294,1328] 126.57/124.69 8514. 646 <=> ($false = vIMP_37 @ $true @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ p)) @ (big_r @ sK21)))) [avatar definition] 126.57/124.69 8516. 646 | ~36 | ~58 | ~638 [avatar split clause 8509,8153,1327,845,8514] 126.57/124.69 8519. 646 | ~64 | ~638 [avatar split clause 8296,8153,1344,8514] 126.57/124.69 8520. ($false = vIMP_37 @ $true @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ p)) @ (big_r @ sK25)))) <- {72, 114, 638} [forward demodulation 8297,2217] 126.57/124.69 8525. 648 <=> ($false = vIMP_37 @ $true @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ p)) @ (big_r @ sK25)))) [avatar definition] 126.57/124.69 8527. 648 | ~72 | ~114 | ~638 [avatar split clause 8520,8153,2216,1431,8525] 126.57/124.69 8532. 648 | ~120 | ~638 [avatar split clause 8301,8153,2233,8525] 126.57/124.69 8547. 651 <=> ($false != p @ sK23) [avatar definition] 126.57/124.69 8548. ($false != p @ sK23) <- {651} [avatar component clause 8547] 126.57/124.69 8549. ~651 | 335 | ~638 [avatar split clause 8312,8153,4443,8547] 126.57/124.69 8572. ($false = vOR_37 @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ p)) @ p))) @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ p)) @ (big_q @ X51))))) | ($false = vOR_37 @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ p)) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p)))))) @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ p)) @ (big_r @ X51))))) | ($false = exists_in_world @ X51 @ sK18) | ($false = rel_s4 @ sK13 @ sK18) <- {6, 638} [forward demodulation 8336,8154] 126.57/124.69 8573. ($false = $true) | ($false = vOR_37 @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ p)) @ p))) @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ p)) @ (big_q @ X51))))) | ($false = vOR_37 @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ p)) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p)))))) @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ p)) @ (big_r @ X51))))) | ($false = exists_in_world @ X51 @ sK18) <- {6, 34, 638} [forward demodulation 8572,839] 126.57/124.69 8575. 652 <=> ! [X51 : mu] : (($false = vOR_37 @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ p)) @ p))) @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ p)) @ (big_q @ X51))))) | ($false = exists_in_world @ X51 @ sK18) | ($false = vOR_37 @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ p)) @ (bCOMB_34 @ vNOT_33 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ p)))))) @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ p)) @ (big_r @ X51)))))) [avatar definition] 126.57/124.69 8577. 652 | 0 | ~6 | ~34 | ~638 [avatar split clause 8573,8153,838,368,315,8575] 126.57/124.69 8589. ($false = p @ X84) | ($false = vOR_37 @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ p)) @ p))) @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ p)) @ (big_q @ X83))))) | ($false = exists_in_world @ X83 @ sK18) | ($false = rel_s4 @ sK13 @ sK18) | ($true = big_r @ X83 @ X84) <- {6, 638} [forward demodulation 8347,8154] 126.57/124.69 8590. ($false = $true) | ($false = p @ X84) | ($false = vOR_37 @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ p)) @ p))) @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ p)) @ (big_q @ X83))))) | ($false = exists_in_world @ X83 @ sK18) | ($true = big_r @ X83 @ X84) <- {6, 34, 638} [forward demodulation 8589,839] 126.57/124.69 8592. 654 <=> ! [X84,X83 : mu] : (($false = p @ X84) | ($false = vOR_37 @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ p)) @ p))) @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ p)) @ (big_q @ X83))))) | ($true = big_r @ X83 @ X84) | ($false = exists_in_world @ X83 @ sK18)) [avatar definition] 126.57/124.69 8594. 654 | 0 | ~6 | ~34 | ~638 [avatar split clause 8590,8153,838,368,315,8592] 126.57/124.69 8595. ($false = p @ X86) | ($false = vOR_37 @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ p)) @ p))) @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ p)) @ (big_q @ X85))))) | ($false = exists_in_world @ X85 @ sK18) | ($false = rel_s4 @ sK13 @ sK18) | ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ X86 @ (sK17 @ X86))) @ (p @ (sK17 @ X86))) <- {6, 638} [forward demodulation 8348,8154] 126.57/124.69 8596. ($false = $true) | ($false = p @ X86) | ($false = vOR_37 @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ p)) @ p))) @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ p)) @ (big_q @ X85))))) | ($false = exists_in_world @ X85 @ sK18) | ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ X86 @ (sK17 @ X86))) @ (p @ (sK17 @ X86))) <- {6, 34, 638} [forward demodulation 8595,839] 126.57/124.69 8598. 656 <=> ! [X85 : mu] : (($false = vOR_37 @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ p)) @ p))) @ (vNOT_33 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ p)) @ (big_q @ X85))))) | ($false = exists_in_world @ X85 @ sK18)) [avatar definition] 126.57/124.69 8601. 658 <=> ! [X86] : (($false = p @ X86) | ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ X86 @ (sK17 @ X86))) @ (p @ (sK17 @ X86)))) [avatar definition] 126.57/124.69 8603. 656 | 658 | 0 | ~6 | ~34 | ~638 [avatar split clause 8596,8153,838,368,315,8601,8598] 126.57/124.69 8627. ($false = p @ X164) | ($false = p @ (sK10 @ X162 @ (big_q @ X163))) | big_q @ X163 = X162 | ($false = exists_in_world @ X163 @ sK18) | ($false = rel_s4 @ sK13 @ sK18) | ($true = big_r @ X163 @ X164) | ($true != X162 @ (sK10 @ X162 @ (big_q @ X163))) <- {6, 638} [forward demodulation 8374,8154] 126.57/124.69 8628. ($false = $true) | ($false = p @ X164) | ($false = p @ (sK10 @ X162 @ (big_q @ X163))) | big_q @ X163 = X162 | ($false = exists_in_world @ X163 @ sK18) | ($true = big_r @ X163 @ X164) | ($true != X162 @ (sK10 @ X162 @ (big_q @ X163))) <- {6, 34, 638} [forward demodulation 8627,839] 126.57/124.69 8630. 660 <=> ! [X162 : ($i > $o),X164,X163 : mu] : (($false = p @ X164) | ($true != X162 @ (sK10 @ X162 @ (big_q @ X163))) | ($false = p @ (sK10 @ X162 @ (big_q @ X163))) | ($true = big_r @ X163 @ X164) | ($false = exists_in_world @ X163 @ sK18) | big_q @ X163 = X162) [avatar definition] 126.57/124.69 8632. 660 | 0 | ~6 | ~34 | ~638 [avatar split clause 8628,8153,838,368,315,8630] 126.57/124.69 8633. ($false = p @ X167) | ($false = p @ (sK10 @ (big_q @ X165) @ X166)) | big_q @ X165 = X166 | ($false = exists_in_world @ X165 @ sK18) | ($false = rel_s4 @ sK13 @ sK18) | ($true = big_r @ X165 @ X167) | ($true != X166 @ (sK10 @ (big_q @ X165) @ X166)) <- {6, 638} [forward demodulation 8375,8154] 126.57/124.69 8634. ($false = $true) | ($false = p @ X167) | ($false = p @ (sK10 @ (big_q @ X165) @ X166)) | big_q @ X165 = X166 | ($false = exists_in_world @ X165 @ sK18) | ($true = big_r @ X165 @ X167) | ($true != X166 @ (sK10 @ (big_q @ X165) @ X166)) <- {6, 34, 638} [forward demodulation 8633,839] 126.57/124.69 8636. 662 <=> ! [X166 : ($i > $o),X165 : mu,X167] : (($false = p @ X167) | ($true != X166 @ (sK10 @ (big_q @ X165) @ X166)) | ($false = p @ (sK10 @ (big_q @ X165) @ X166)) | ($true = big_r @ X165 @ X167) | ($false = exists_in_world @ X165 @ sK18) | big_q @ X165 = X166) [avatar definition] 126.57/124.69 8638. 662 | 0 | ~6 | ~34 | ~638 [avatar split clause 8634,8153,838,368,315,8636] 126.57/124.69 8641. ($false = p @ X173) | ($false = p @ (sK10 @ (big_q @ X171) @ (rel_s4 @ X172))) | ($false != big_q @ X171 @ (sK10 @ (big_q @ X171) @ (rel_s4 @ X172))) | ($false = exists_in_world @ X171 @ sK18) | ($false = rel_s4 @ sK13 @ sK18) | ($true = big_r @ X171 @ X173) | rel_s4 @ X172 = big_q @ X171 <- {6, 638} [forward demodulation 8377,8154] 126.57/124.69 8642. ($false = $true) | ($false = p @ X173) | ($false = p @ (sK10 @ (big_q @ X171) @ (rel_s4 @ X172))) | ($false != big_q @ X171 @ (sK10 @ (big_q @ X171) @ (rel_s4 @ X172))) | ($false = exists_in_world @ X171 @ sK18) | ($true = big_r @ X171 @ X173) | rel_s4 @ X172 = big_q @ X171 <- {6, 34, 638} [forward demodulation 8641,839] 126.57/124.69 8644. 664 <=> ! [X172,X171 : mu,X173] : (($false = p @ X173) | rel_s4 @ X172 = big_q @ X171 | ($false = p @ (sK10 @ (big_q @ X171) @ (rel_s4 @ X172))) | ($true = big_r @ X171 @ X173) | ($false = exists_in_world @ X171 @ sK18) | ($false != big_q @ X171 @ (sK10 @ (big_q @ X171) @ (rel_s4 @ X172)))) [avatar definition] 126.57/124.69 8646. 664 | 0 | ~6 | ~34 | ~638 [avatar split clause 8642,8153,838,368,315,8644] 126.57/124.69 8647. ($false = p @ X176) | ($false = p @ (sK10 @ X174 @ (big_q @ X175))) | ($false != big_q @ X175 @ (sK10 @ X174 @ (big_q @ X175))) | ($false = exists_in_world @ X175 @ sK18) | ($false = rel_s4 @ sK13 @ sK18) | ($true = big_r @ X175 @ X176) | big_q @ X175 = X174 <- {6, 638} [forward demodulation 8378,8154] 126.57/124.69 8648. ($false = $true) | ($false = p @ X176) | ($false = p @ (sK10 @ X174 @ (big_q @ X175))) | ($false != big_q @ X175 @ (sK10 @ X174 @ (big_q @ X175))) | ($false = exists_in_world @ X175 @ sK18) | ($true = big_r @ X175 @ X176) | big_q @ X175 = X174 <- {6, 34, 638} [forward demodulation 8647,839] 126.57/124.69 8650. 666 <=> ! [X174 : ($i > $o),X176,X175 : mu] : (($false = p @ X176) | big_q @ X175 = X174 | ($false = p @ (sK10 @ X174 @ (big_q @ X175))) | ($true = big_r @ X175 @ X176) | ($false = exists_in_world @ X175 @ sK18) | ($false != big_q @ X175 @ (sK10 @ X174 @ (big_q @ X175)))) [avatar definition] 126.57/124.69 8652. 666 | 0 | ~6 | ~34 | ~638 [avatar split clause 8648,8153,838,368,315,8650] 126.57/124.69 8656. ($false = p @ X189) | ($false = p @ (sK10 @ (big_q @ X187) @ (exists_in_world @ X188))) | ($false != big_q @ X187 @ (sK10 @ (big_q @ X187) @ (exists_in_world @ X188))) | ($false = exists_in_world @ X187 @ sK18) | ($false = rel_s4 @ sK13 @ sK18) | ($true = big_r @ X187 @ X189) | exists_in_world @ X188 = big_q @ X187 <- {6, 638} [forward demodulation 8383,8154] 126.57/124.69 8657. ($false = $true) | ($false = p @ X189) | ($false = p @ (sK10 @ (big_q @ X187) @ (exists_in_world @ X188))) | ($false != big_q @ X187 @ (sK10 @ (big_q @ X187) @ (exists_in_world @ X188))) | ($false = exists_in_world @ X187 @ sK18) | ($true = big_r @ X187 @ X189) | exists_in_world @ X188 = big_q @ X187 <- {6, 34, 638} [forward demodulation 8656,839] 126.57/124.69 8659. 668 <=> ! [X188 : mu,X187 : mu,X189] : (($false = p @ X189) | exists_in_world @ X188 = big_q @ X187 | ($false = p @ (sK10 @ (big_q @ X187) @ (exists_in_world @ X188))) | ($true = big_r @ X187 @ X189) | ($false = exists_in_world @ X187 @ sK18) | ($false != big_q @ X187 @ (sK10 @ (big_q @ X187) @ (exists_in_world @ X188)))) [avatar definition] 126.57/124.69 8661. 668 | 0 | ~6 | ~34 | ~638 [avatar split clause 8657,8153,838,368,315,8659] 126.57/124.69 8701. p = big_q @ X315 | ($false != big_q @ X315 @ (sK10 @ p @ (big_q @ X315))) | ($false = exists_in_world @ X315 @ sK18) | ($false = rel_s4 @ sK18 @ X316) | ($false = rel_s4 @ sK13 @ sK18) | ($true = big_r @ X315 @ X316) <- {6, 638} [forward demodulation 8424,8154] 126.57/124.69 8702. ($false = p @ X316) | p = big_q @ X315 | ($false != big_q @ X315 @ (sK10 @ p @ (big_q @ X315))) | ($false = exists_in_world @ X315 @ sK18) | ($false = rel_s4 @ sK13 @ sK18) | ($true = big_r @ X315 @ X316) <- {6, 638} [forward demodulation 8701,8154] 126.57/124.69 8703. ($false = $true) | ($false = p @ X316) | p = big_q @ X315 | ($false != big_q @ X315 @ (sK10 @ p @ (big_q @ X315))) | ($false = exists_in_world @ X315 @ sK18) | ($true = big_r @ X315 @ X316) <- {6, 34, 638} [forward demodulation 8702,839] 126.57/124.69 8705. 670 <=> ! [X316,X315 : mu] : (($false = p @ X316) | p = big_q @ X315 | ($true = big_r @ X315 @ X316) | ($false = exists_in_world @ X315 @ sK18) | ($false != big_q @ X315 @ (sK10 @ p @ (big_q @ X315)))) [avatar definition] 126.57/124.69 8707. 670 | 0 | ~6 | ~34 | ~638 [avatar split clause 8703,8153,838,368,315,8705] 126.57/124.69 8713. p = big_q @ X345 | ($false != big_q @ X345 @ (sK10 @ (big_q @ X345) @ p)) | ($false = exists_in_world @ X345 @ sK18) | ($false = rel_s4 @ sK18 @ X346) | ($false = rel_s4 @ sK13 @ sK18) | ($true = big_r @ X345 @ X346) <- {6, 638} [forward demodulation 8435,8154] 126.57/124.69 8714. ($false = p @ X346) | p = big_q @ X345 | ($false != big_q @ X345 @ (sK10 @ (big_q @ X345) @ p)) | ($false = exists_in_world @ X345 @ sK18) | ($false = rel_s4 @ sK13 @ sK18) | ($true = big_r @ X345 @ X346) <- {6, 638} [forward demodulation 8713,8154] 126.57/124.69 8715. ($false = $true) | ($false = p @ X346) | p = big_q @ X345 | ($false != big_q @ X345 @ (sK10 @ (big_q @ X345) @ p)) | ($false = exists_in_world @ X345 @ sK18) | ($true = big_r @ X345 @ X346) <- {6, 34, 638} [forward demodulation 8714,839] 126.57/124.69 8717. 672 <=> ! [X345 : mu,X346] : (($false = p @ X346) | p = big_q @ X345 | ($true = big_r @ X345 @ X346) | ($false = exists_in_world @ X345 @ sK18) | ($false != big_q @ X345 @ (sK10 @ (big_q @ X345) @ p))) [avatar definition] 126.57/124.69 8719. 672 | 0 | ~6 | ~34 | ~638 [avatar split clause 8715,8153,838,368,315,8717] 126.57/124.69 8818. ($false = $true) | ($false = p @ (sK17 @ (sK10 @ (rel_s4 @ sK13) @ p))) | rel_s4 @ sK13 = rel_s4 @ sK18 <- {34, 130, 638} [forward demodulation 8502,839] 126.57/124.69 8819. p = rel_s4 @ sK13 | ($false = $true) | ($false = p @ (sK17 @ (sK10 @ (rel_s4 @ sK13) @ p))) <- {34, 130, 638} [forward demodulation 8818,8154] 126.57/124.69 8824. 674 <=> ($false = p @ (sK17 @ (sK10 @ (rel_s4 @ sK13) @ p))) [avatar definition] 126.57/124.69 8827. 677 <=> p != rel_s4 @ sK13 [avatar definition] 126.57/124.69 8828. p != rel_s4 @ sK13 <- {677} [avatar component clause 8827] 126.57/124.69 8830. 676 <=> p = rel_s4 @ sK13 [avatar definition] 126.57/124.69 8832. 674 | 0 | 676 | ~34 | ~130 | ~638 [avatar split clause 8819,8153,2291,838,8830,315,8824] 126.57/124.69 8833. ($false = $true) | ($false = p @ (sK17 @ (sK10 @ p @ (rel_s4 @ sK13)))) | rel_s4 @ sK13 = rel_s4 @ sK18 <- {34, 130, 638} [forward demodulation 8503,839] 126.57/124.69 8834. p = rel_s4 @ sK13 | ($false = $true) | ($false = p @ (sK17 @ (sK10 @ p @ (rel_s4 @ sK13)))) <- {34, 130, 638} [forward demodulation 8833,8154] 126.57/124.69 8839. 678 <=> ($false = p @ (sK17 @ (sK10 @ p @ (rel_s4 @ sK13)))) [avatar definition] 126.57/124.69 8841. 678 | 0 | 676 | ~34 | ~130 | ~638 [avatar split clause 8834,8153,2291,838,8830,315,8839] 126.57/124.69 8842. p = rel_s4 @ sK19 | ($false = p @ (sK17 @ (sK10 @ (rel_s4 @ sK19) @ p))) | ($false = rel_s4 @ sK19 @ sK18) <- {138, 638} [forward demodulation 8506,8154] 126.57/124.69 8844. 681 <=> ($false != rel_s4 @ sK19 @ sK18) [avatar definition] 126.57/124.69 8845. ($false != rel_s4 @ sK19 @ sK18) <- {681} [avatar component clause 8844] 126.57/124.69 8847. 680 <=> ($false = rel_s4 @ sK19 @ sK18) [avatar definition] 126.57/124.69 8848. ($false = rel_s4 @ sK19 @ sK18) <- {680} [avatar component clause 8847] 126.57/124.69 8853. 682 <=> ($false = p @ (sK17 @ (sK10 @ (rel_s4 @ sK19) @ p))) [avatar definition] 126.57/124.69 8856. 685 <=> p != rel_s4 @ sK19 [avatar definition] 126.57/124.69 8857. p != rel_s4 @ sK19 <- {685} [avatar component clause 8856] 126.57/124.69 8859. 684 <=> p = rel_s4 @ sK19 [avatar definition] 126.57/124.69 8861. 680 | 682 | 684 | ~138 | ~638 [avatar split clause 8842,8153,2315,8859,8853,8847] 126.57/124.69 8877. ($false = $true) | ($true = p @ X1) | ($false = rel_s4 @ X0 @ X1) | ($false = rel_s4 @ sK13 @ X0) | ($false = rel_s4 @ X0 @ sK13) <- {206} [superposition 3765,205] 126.57/124.69 8878. ($false = $true) | ($true = p @ X7) | ($false = rel_s4 @ X6 @ X7) | ($false = rel_s4 @ sK13 @ X6) | ($false = rel_s4 @ X6 @ sK13) | ($true != rel_s4 @ X8 @ X6) | ($true != exists_in_world @ X5 @ X8) <- {206} [superposition 3765,206] 126.57/124.69 8879. ($false = $true) | ($true = p @ X33) | ($false = rel_s4 @ sK13 @ X33) | ($false = rel_s4 @ sK13 @ sK13) | ($false = rel_s4 @ sK13 @ sK13) <- {12, 206} [superposition 3765,389] 126.57/124.69 8888. ($false = $true) | ($true = p @ X42) | ($false = rel_s4 @ sK22 @ X42) | ($false = rel_s4 @ sK13 @ sK22) | ($false = rel_s4 @ sK22 @ sK13) <- {90, 206} [superposition 3765,2112] 126.57/124.69 8889. ($false = $true) | ($true = p @ X43) | ($false = rel_s4 @ sK22 @ X43) | ($false = rel_s4 @ sK13 @ sK22) | ($false = rel_s4 @ sK22 @ sK13) <- {192, 206} [superposition 3765,2945] 126.57/124.69 8890. ($false = $true) | ($true = p @ X44) | ($false = rel_s4 @ sK22 @ X44) | ($false = rel_s4 @ sK13 @ sK22) | ($false = rel_s4 @ sK22 @ sK13) <- {84, 206} [superposition 3765,2091] 126.57/124.69 8891. ($false = $true) | ($true = p @ X45) | ($false = rel_s4 @ sK22 @ X45) | ($false = rel_s4 @ sK13 @ sK22) | ($false = rel_s4 @ sK22 @ sK13) <- {86, 206} [superposition 3765,2098] 126.57/124.69 8892. ($false = $true) | ($true = p @ X46) | ($false = rel_s4 @ sK22 @ X46) | ($false = rel_s4 @ sK13 @ sK22) | ($false = rel_s4 @ sK22 @ sK13) <- {88, 206} [superposition 3765,2105] 126.57/124.69 8898. ($false = $true) | ($true = p @ X1) | ($false = rel_s4 @ X0 @ X1) | ($false = rel_s4 @ sK13 @ X0) | ($false = rel_s4 @ X0 @ sK13) <- {206} [superposition 205,3765] 126.57/124.69 8899. ($false = $true) | ($true != rel_s4 @ X5 @ X4) | ($true != exists_in_world @ X3 @ X5) | ($true = p @ X6) | ($false = rel_s4 @ X4 @ X6) | ($false = rel_s4 @ sK13 @ X4) | ($false = rel_s4 @ X4 @ sK13) <- {206} [superposition 206,3765] 126.57/124.69 8913. ($false = $true) | ($true = p @ X74) | ($false = rel_s4 @ sK13 @ X74) | ($false = rel_s4 @ sK13 @ sK13) | ($false = rel_s4 @ sK13 @ sK13) <- {12, 206} [superposition 389,3765] 126.57/124.69 8926. ($false = $true) | ($true = p @ X87) | ($false = rel_s4 @ sK22 @ X87) | ($false = rel_s4 @ sK13 @ sK22) | ($false = rel_s4 @ sK22 @ sK13) <- {90, 206} [superposition 2112,3765] 126.57/124.69 8927. ($false = $true) | ($true = p @ X88) | ($false = rel_s4 @ sK22 @ X88) | ($false = rel_s4 @ sK13 @ sK22) | ($false = rel_s4 @ sK22 @ sK13) <- {192, 206} [superposition 2945,3765] 126.57/124.69 8928. ($false = $true) | ($true = p @ X89) | ($false = rel_s4 @ sK22 @ X89) | ($false = rel_s4 @ sK13 @ sK22) | ($false = rel_s4 @ sK22 @ sK13) <- {84, 206} [superposition 2091,3765] 126.57/124.69 8929. ($false = $true) | ($true = p @ X90) | ($false = rel_s4 @ sK22 @ X90) | ($false = rel_s4 @ sK13 @ sK22) | ($false = rel_s4 @ sK22 @ sK13) <- {86, 206} [superposition 2098,3765] 126.57/124.69 8930. ($false = $true) | ($true = p @ X91) | ($false = rel_s4 @ sK22 @ X91) | ($false = rel_s4 @ sK13 @ sK22) | ($false = rel_s4 @ sK22 @ sK13) <- {88, 206} [superposition 2105,3765] 126.57/124.69 8940. ($false = $true) | ($true = p @ X74) | ($false = rel_s4 @ sK13 @ X74) | ($false = rel_s4 @ sK13 @ sK13) <- {12, 206} [duplicate literal removal 8913] 126.57/124.69 8947. ($false = $true) | ($true = p @ X33) | ($false = rel_s4 @ sK13 @ X33) | ($false = rel_s4 @ sK13 @ sK13) <- {12, 206} [duplicate literal removal 8879] 126.57/124.69 8949. 686 <=> ! [X1,X0] : (($true = p @ X1) | ($false = rel_s4 @ X0 @ sK13) | ($false = rel_s4 @ sK13 @ X0) | ($false = rel_s4 @ X0 @ X1)) [avatar definition] 126.57/124.69 8951. 686 | 0 | ~206 [avatar split clause 8877,3764,315,8949] 126.57/124.69 8953. 688 <=> ! [X5 : mu,X7,X8,X6] : (($true = p @ X7) | ($true != exists_in_world @ X5 @ X8) | ($true != rel_s4 @ X8 @ X6) | ($false = rel_s4 @ X6 @ sK13) | ($false = rel_s4 @ sK13 @ X6) | ($false = rel_s4 @ X6 @ X7)) [avatar definition] 126.57/124.69 8955. 688 | 0 | ~206 [avatar split clause 8878,3764,315,8953] 126.57/124.69 8956. 128 | 126 | 0 | ~12 | ~206 [avatar split clause 8947,3764,388,315,2282,2288] 126.57/124.69 8961. 690 <=> ($false = rel_s4 @ sK22 @ sK13) [avatar definition] 126.57/124.69 8962. ($false = rel_s4 @ sK22 @ sK13) <- {690} [avatar component clause 8961] 126.57/124.69 8964. 693 <=> ($false != rel_s4 @ sK13 @ sK22) [avatar definition] 126.57/124.69 8965. ($false != rel_s4 @ sK13 @ sK22) <- {693} [avatar component clause 8964] 126.57/124.69 8967. 692 <=> ($false = rel_s4 @ sK13 @ sK22) [avatar definition] 126.57/124.69 8968. ($false = rel_s4 @ sK13 @ sK22) <- {692} [avatar component clause 8967] 126.57/124.69 8970. 694 <=> ! [X42] : (($true = p @ X42) | ($false = rel_s4 @ sK22 @ X42)) [avatar definition] 126.57/124.69 8972. 690 | 692 | 694 | 0 | ~90 | ~206 [avatar split clause 8888,3764,2111,315,8970,8967,8961] 126.57/124.69 8973. 690 | 692 | 694 | 0 | ~192 | ~206 [avatar split clause 8889,3764,2944,315,8970,8967,8961] 126.57/124.69 8974. 690 | 692 | 694 | 0 | ~84 | ~206 [avatar split clause 8890,3764,2090,315,8970,8967,8961] 126.57/124.69 8975. 690 | 692 | 694 | 0 | ~86 | ~206 [avatar split clause 8891,3764,2097,315,8970,8967,8961] 126.57/124.69 8976. 690 | 692 | 694 | 0 | ~88 | ~206 [avatar split clause 8892,3764,2104,315,8970,8967,8961] 126.57/124.69 8977. 686 | 0 | ~206 [avatar split clause 8898,3764,315,8949] 126.57/124.69 8978. 688 | 0 | ~206 [avatar split clause 8899,3764,315,8953] 126.57/124.69 8979. 128 | 126 | 0 | ~12 | ~206 [avatar split clause 8940,3764,388,315,2282,2288] 126.57/124.69 8980. 690 | 692 | 694 | 0 | ~90 | ~206 [avatar split clause 8926,3764,2111,315,8970,8967,8961] 126.57/124.69 8981. 690 | 692 | 694 | 0 | ~192 | ~206 [avatar split clause 8927,3764,2944,315,8970,8967,8961] 126.57/124.69 8982. 690 | 692 | 694 | 0 | ~84 | ~206 [avatar split clause 8928,3764,2090,315,8970,8967,8961] 126.57/124.69 8983. 690 | 692 | 694 | 0 | ~86 | ~206 [avatar split clause 8929,3764,2097,315,8970,8967,8961] 126.57/124.69 8984. 690 | 692 | 694 | 0 | ~88 | ~206 [avatar split clause 8930,3764,2104,315,8970,8967,8961] 126.57/124.69 8985. ($false = $true) | ($true = p @ X1) | ($false = rel_s4 @ X0 @ X1) | ($false = rel_s4 @ sK13 @ X0) | ($false = rel_s4 @ X0 @ sK18) <- {242} [superposition 4056,205] 126.57/124.69 8986. ($false = $true) | ($true = p @ X7) | ($false = rel_s4 @ X6 @ X7) | ($false = rel_s4 @ sK13 @ X6) | ($false = rel_s4 @ X6 @ sK18) | ($true != rel_s4 @ X8 @ X6) | ($true != exists_in_world @ X5 @ X8) <- {242} [superposition 4056,206] 126.57/124.69 8987. ($false = $true) | ($true = p @ X33) | ($false = rel_s4 @ sK13 @ X33) | ($false = rel_s4 @ sK13 @ sK13) | ($false = rel_s4 @ sK13 @ sK18) <- {12, 242} [superposition 4056,389] 126.57/124.69 8996. ($false = $true) | ($true = p @ X42) | ($false = rel_s4 @ sK22 @ X42) | ($false = rel_s4 @ sK13 @ sK22) | ($false = rel_s4 @ sK22 @ sK18) <- {90, 242} [superposition 4056,2112] 126.57/124.69 8997. ($false = $true) | ($true = p @ X43) | ($false = rel_s4 @ sK22 @ X43) | ($false = rel_s4 @ sK13 @ sK22) | ($false = rel_s4 @ sK22 @ sK18) <- {192, 242} [superposition 4056,2945] 126.57/124.69 8998. ($false = $true) | ($true = p @ X44) | ($false = rel_s4 @ sK22 @ X44) | ($false = rel_s4 @ sK13 @ sK22) | ($false = rel_s4 @ sK22 @ sK18) <- {84, 242} [superposition 4056,2091] 126.57/124.69 8999. ($false = $true) | ($true = p @ X45) | ($false = rel_s4 @ sK22 @ X45) | ($false = rel_s4 @ sK13 @ sK22) | ($false = rel_s4 @ sK22 @ sK18) <- {86, 242} [superposition 4056,2098] 126.57/124.69 9000. ($false = $true) | ($true = p @ X46) | ($false = rel_s4 @ sK22 @ X46) | ($false = rel_s4 @ sK13 @ sK22) | ($false = rel_s4 @ sK22 @ sK18) <- {88, 242} [superposition 4056,2105] 126.57/124.69 9006. ($false = $true) | ($true = p @ X1) | ($false = rel_s4 @ X0 @ X1) | ($false = rel_s4 @ sK13 @ X0) | ($false = rel_s4 @ X0 @ sK18) <- {242} [superposition 205,4056] 126.57/124.69 9007. ($false = $true) | ($true != rel_s4 @ X5 @ X4) | ($true != exists_in_world @ X3 @ X5) | ($true = p @ X6) | ($false = rel_s4 @ X4 @ X6) | ($false = rel_s4 @ sK13 @ X4) | ($false = rel_s4 @ X4 @ sK18) <- {242} [superposition 206,4056] 126.57/124.69 9021. ($false = $true) | ($true = p @ X74) | ($false = rel_s4 @ sK13 @ X74) | ($false = rel_s4 @ sK13 @ sK13) | ($false = rel_s4 @ sK13 @ sK18) <- {12, 242} [superposition 389,4056] 126.57/124.69 9034. ($false = $true) | ($true = p @ X87) | ($false = rel_s4 @ sK22 @ X87) | ($false = rel_s4 @ sK13 @ sK22) | ($false = rel_s4 @ sK22 @ sK18) <- {90, 242} [superposition 2112,4056] 126.57/124.69 9035. ($false = $true) | ($true = p @ X88) | ($false = rel_s4 @ sK22 @ X88) | ($false = rel_s4 @ sK13 @ sK22) | ($false = rel_s4 @ sK22 @ sK18) <- {192, 242} [superposition 2945,4056] 126.57/124.69 9036. ($false = $true) | ($true = p @ X89) | ($false = rel_s4 @ sK22 @ X89) | ($false = rel_s4 @ sK13 @ sK22) | ($false = rel_s4 @ sK22 @ sK18) <- {84, 242} [superposition 2091,4056] 126.57/124.69 9037. ($false = $true) | ($true = p @ X90) | ($false = rel_s4 @ sK22 @ X90) | ($false = rel_s4 @ sK13 @ sK22) | ($false = rel_s4 @ sK22 @ sK18) <- {86, 242} [superposition 2098,4056] 126.57/124.69 9038. ($false = $true) | ($true = p @ X91) | ($false = rel_s4 @ sK22 @ X91) | ($false = rel_s4 @ sK13 @ sK22) | ($false = rel_s4 @ sK22 @ sK18) <- {88, 242} [superposition 2105,4056] 126.57/124.69 9055. 696 <=> ! [X1,X0] : (($true = p @ X1) | ($false = rel_s4 @ X0 @ sK18) | ($false = rel_s4 @ sK13 @ X0) | ($false = rel_s4 @ X0 @ X1)) [avatar definition] 126.57/124.69 9057. 696 | 0 | ~242 [avatar split clause 8985,4055,315,9055] 126.57/124.69 9059. 698 <=> ! [X5 : mu,X7,X8,X6] : (($true = p @ X7) | ($true != exists_in_world @ X5 @ X8) | ($true != rel_s4 @ X8 @ X6) | ($false = rel_s4 @ X6 @ sK18) | ($false = rel_s4 @ sK13 @ X6) | ($false = rel_s4 @ X6 @ X7)) [avatar definition] 126.57/124.69 9061. 698 | 0 | ~242 [avatar split clause 8986,4055,315,9059] 126.57/124.69 9062. ($false = $true) | ($false = $true) | ($true = p @ X33) | ($false = rel_s4 @ sK13 @ X33) | ($false = rel_s4 @ sK13 @ sK18) <- {12, 242} [forward demodulation 8987,258] 126.57/124.69 9063. ($false = $true) | ($true = p @ X33) | ($false = rel_s4 @ sK13 @ X33) | ($false = rel_s4 @ sK13 @ sK18) <- {12, 242} [duplicate literal removal 9062] 126.57/124.69 9065. 701 <=> ($false != rel_s4 @ sK13 @ sK18) [avatar definition] 126.57/124.69 9066. ($false != rel_s4 @ sK13 @ sK18) <- {701} [avatar component clause 9065] 126.57/124.69 9068. 700 <=> ($false = rel_s4 @ sK13 @ sK18) [avatar definition] 126.57/124.69 9070. 700 | 126 | 0 | ~12 | ~242 [avatar split clause 9063,4055,388,315,2282,9068] 126.57/124.69 9075. 702 <=> ($false = rel_s4 @ sK22 @ sK18) [avatar definition] 126.57/124.69 9076. ($false = rel_s4 @ sK22 @ sK18) <- {702} [avatar component clause 9075] 126.57/124.69 9077. 702 | 692 | 694 | 0 | ~90 | ~242 [avatar split clause 8996,4055,2111,315,8970,8967,9075] 126.57/124.69 9078. 702 | 692 | 694 | 0 | ~192 | ~242 [avatar split clause 8997,4055,2944,315,8970,8967,9075] 126.57/124.69 9079. 702 | 692 | 694 | 0 | ~84 | ~242 [avatar split clause 8998,4055,2090,315,8970,8967,9075] 126.57/124.69 9080. 702 | 692 | 694 | 0 | ~86 | ~242 [avatar split clause 8999,4055,2097,315,8970,8967,9075] 126.57/124.69 9081. 702 | 692 | 694 | 0 | ~88 | ~242 [avatar split clause 9000,4055,2104,315,8970,8967,9075] 126.57/124.69 9082. 696 | 0 | ~242 [avatar split clause 9006,4055,315,9055] 126.57/124.69 9083. 698 | 0 | ~242 [avatar split clause 9007,4055,315,9059] 126.57/124.69 9084. ($false = $true) | ($false = $true) | ($true = p @ X74) | ($false = rel_s4 @ sK13 @ X74) | ($false = rel_s4 @ sK13 @ sK18) <- {12, 242} [forward demodulation 9021,258] 126.57/124.69 9085. ($false = $true) | ($true = p @ X74) | ($false = rel_s4 @ sK13 @ X74) | ($false = rel_s4 @ sK13 @ sK18) <- {12, 242} [duplicate literal removal 9084] 126.57/124.69 9086. 700 | 126 | 0 | ~12 | ~242 [avatar split clause 9085,4055,388,315,2282,9068] 126.57/124.69 9087. 702 | 692 | 694 | 0 | ~90 | ~242 [avatar split clause 9034,4055,2111,315,8970,8967,9075] 126.57/124.69 9088. 702 | 692 | 694 | 0 | ~192 | ~242 [avatar split clause 9035,4055,2944,315,8970,8967,9075] 126.57/124.69 9089. 702 | 692 | 694 | 0 | ~84 | ~242 [avatar split clause 9036,4055,2090,315,8970,8967,9075] 126.57/124.69 9090. 702 | 692 | 694 | 0 | ~86 | ~242 [avatar split clause 9037,4055,2097,315,8970,8967,9075] 126.57/124.69 9091. 702 | 692 | 694 | 0 | ~88 | ~242 [avatar split clause 9038,4055,2104,315,8970,8967,9075] 126.57/124.69 9101. ($false = p @ X3) | ($false = $true) | ($false = p @ (sK17 @ X3)) <- {236, 638} [forward demodulation 7672,8154] 126.57/124.69 9103. 704 <=> ! [X3] : (($false = p @ X3) | ($false = p @ (sK17 @ X3))) [avatar definition] 126.57/124.69 9104. ($false = p @ (sK17 @ X3)) | ($false = p @ X3) <- {704} [avatar component clause 9103] 126.57/124.69 9105. 0 | 704 | ~236 | ~638 [avatar split clause 9101,8153,4041,9103,315] 126.57/124.69 9106. ($false = p @ X4) | ($false = $true) | ($false = p @ (sK17 @ X4)) <- {236, 638} [forward demodulation 7665,8154] 126.57/124.69 9107. 0 | 704 | ~236 | ~638 [avatar split clause 9106,8153,4041,9103,315] 126.57/124.69 9108. ($false = p @ sK18) | ($false = p @ (sK17 @ sK18)) <- {236, 638} [forward demodulation 7724,8154] 126.57/124.69 9109. ($false = $true) | ($false = p @ (sK17 @ sK18)) <- {228, 236, 638} [forward demodulation 9108,3899] 126.57/124.69 9110. 208 | 0 | ~228 | ~236 | ~638 [avatar split clause 9109,8153,4041,3898,315,3771] 126.57/124.69 9112. 707 <=> ($true != p @ (sK17 @ sK18)) [avatar definition] 126.57/124.69 9113. ($true != p @ (sK17 @ sK18)) <- {707} [avatar component clause 9112] 126.57/124.69 9115. 706 <=> ($true = p @ (sK17 @ sK18)) [avatar definition] 126.57/124.69 9116. ($true = p @ (sK17 @ sK18)) <- {706} [avatar component clause 9115] 126.57/124.69 9121. 708 <=> ($false = vOR_37 @ (vNOT_33 @ $false) @ (p @ (sK17 @ sK18))) [avatar definition] 126.57/124.69 9122. ($false = vOR_37 @ (vNOT_33 @ $false) @ (p @ (sK17 @ sK18))) <- {708} [avatar component clause 9121] 126.57/124.69 9123. 706 | 242 | 708 | ~6 | ~132 [avatar split clause 4506,2297,368,9121,4055,9115] 126.57/124.69 9124. 706 | 238 | 708 | ~6 | ~132 [avatar split clause 4505,2297,368,9121,4045,9115] 126.57/124.69 9125. 706 | 242 | 0 | ~6 | ~132 [avatar split clause 4504,2297,368,315,4055,9115] 126.57/124.69 9126. 706 | 238 | 0 | ~6 | ~132 [avatar split clause 4503,2297,368,315,4045,9115] 126.57/124.69 9127. 242 | 706 | 0 | ~6 | ~132 [avatar split clause 4471,2297,368,315,9115,4055] 126.57/124.69 9128. 238 | 706 | 0 | ~6 | ~132 [avatar split clause 4470,2297,368,315,9115,4045] 126.57/124.69 9129. 210 | 0 | ~138 [avatar split clause 7916,2315,315,3778] 126.57/124.69 9130. 210 | 0 | ~138 [avatar split clause 7909,2315,315,3778] 126.57/124.69 9131. 210 | 0 | ~138 [avatar split clause 4092,2315,315,3778] 126.57/124.69 9132. 210 | 0 | ~138 [avatar split clause 4097,2315,315,3778] 126.57/124.69 9133. 238 | 706 | ~6 | ~638 [avatar split clause 8380,8153,368,9115,4045] 126.57/124.69 9138. 710 <=> ($false = vOR_37 @ (vNOT_33 @ (p @ (sK17 @ sK18))) @ (p @ (sK17 @ sK18))) [avatar definition] 126.57/124.69 9140. 238 | 710 | ~6 | ~638 [avatar split clause 8354,8153,368,9138,4045] 126.57/124.69 9142. 712 <=> ! [X292] : (($false = p @ (sK17 @ X292)) | ($false = rel_s4 @ (sK17 @ sK18) @ X292)) [avatar definition] 126.57/124.69 9144. 712 | 238 | 708 | ~6 | ~236 [avatar split clause 7713,4041,368,9121,4045,9142] 126.57/124.69 9145. 712 | 238 | 0 | ~6 | ~236 [avatar split clause 7711,4041,368,315,4045,9142] 126.57/124.69 9146. 238 | 712 | 0 | ~6 | ~236 [avatar split clause 7667,4041,368,315,9142,4045] 126.57/124.69 9148. 714 <=> ! [X290] : (($true = p @ X290) | ($false = rel_s4 @ (sK17 @ sK18) @ X290)) [avatar definition] 126.57/124.69 9150. 714 | 238 | 708 | ~6 | ~344 [avatar split clause 7421,4528,368,9121,4045,9148] 126.57/124.69 9151. 714 | 238 | 0 | ~6 | ~344 [avatar split clause 7419,4528,368,315,4045,9148] 126.57/124.69 9152. 238 | 714 | 0 | ~6 | ~344 [avatar split clause 7375,4528,368,315,9148,4045] 126.57/124.69 9153. 242 | 706 | ~6 | ~638 [avatar split clause 8379,8153,368,9115,4055] 126.57/124.69 9154. 242 | 710 | ~6 | ~638 [avatar split clause 8355,8153,368,9138,4055] 126.57/124.69 9155. 712 | 242 | 708 | ~6 | ~236 [avatar split clause 7714,4041,368,9121,4055,9142] 126.57/124.69 9156. 712 | 242 | 0 | ~6 | ~236 [avatar split clause 7712,4041,368,315,4055,9142] 126.57/124.69 9157. 242 | 712 | 0 | ~6 | ~236 [avatar split clause 7668,4041,368,315,9142,4055] 126.57/124.69 9158. 714 | 242 | 708 | ~6 | ~344 [avatar split clause 7422,4528,368,9121,4055,9148] 126.57/124.69 9159. 714 | 242 | 0 | ~6 | ~344 [avatar split clause 7420,4528,368,315,4055,9148] 126.57/124.69 9160. 242 | 714 | 0 | ~6 | ~344 [avatar split clause 7376,4528,368,315,9148,4055] 126.57/124.69 9162. 717 <=> ($true != p @ (sK17 @ sK13)) [avatar definition] 126.57/124.69 9163. ($true != p @ (sK17 @ sK13)) <- {717} [avatar component clause 9162] 126.57/124.69 9165. 716 <=> ($true = p @ (sK17 @ sK13)) [avatar definition] 126.57/124.69 9166. ($true = p @ (sK17 @ sK13)) <- {716} [avatar component clause 9165] 126.57/124.69 9167. 716 | 202 | 0 | ~6 | ~126 [avatar split clause 3858,2282,368,315,3754,9165] 126.57/124.69 9168. 202 | 716 | 0 | ~6 | ~126 [avatar split clause 3824,2282,368,315,9165,3754] 126.57/124.69 9172. ($false = $true) | ($false = exists_in_world @ sK20 @ X10) | ($false = rel_s4 @ X10 @ X11) | ($false = rel_s4 @ sK13 @ X10) | ($false = rel_s4 @ X10 @ sK28) | ($false = p @ (sK17 @ X11)) <- {6, 272} [superposition 1387,4203] 126.57/124.69 9173. ($false = $true) | ($false = exists_in_world @ sK24 @ X12) | ($false = rel_s4 @ X12 @ X13) | ($false = rel_s4 @ sK13 @ X12) | ($false = rel_s4 @ X12 @ sK30) | ($false = p @ (sK17 @ X13)) <- {6, 302} [superposition 1387,4308] 126.57/124.69 9185. ($false = vOR_37 @ (vNOT_33 @ $true) @ $true) | ($false = exists_in_world @ sK20 @ X42) | ($false = rel_s4 @ X42 @ X43) | ($false = rel_s4 @ sK13 @ X42) | ($false = rel_s4 @ X42 @ sK28) | ($false = p @ (sK17 @ X43)) <- {6, 280} [superposition 4226,1387] 126.57/124.69 9186. ($false = $true) | ($false = exists_in_world @ sK20 @ X44) | ($false = rel_s4 @ X44 @ X45) | ($false = rel_s4 @ sK13 @ X44) | ($false = rel_s4 @ X44 @ sK28) | ($false = p @ (sK17 @ X45)) <- {6, 272} [superposition 4203,1387] 126.57/124.69 9187. ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ sK19 @ sK28)) @ $true) | ($false = exists_in_world @ sK20 @ X46) | ($false = rel_s4 @ X46 @ X47) | ($false = rel_s4 @ sK13 @ X46) | ($false = rel_s4 @ X46 @ sK28) | ($false = p @ (sK17 @ X47)) <- {6, 102} [superposition 2159,1387] 126.57/124.69 9188. ($false = vOR_37 @ (vNOT_33 @ $true) @ $true) | ($false = exists_in_world @ sK24 @ X48) | ($false = rel_s4 @ X48 @ X49) | ($false = rel_s4 @ sK13 @ X48) | ($false = rel_s4 @ X48 @ sK30) | ($false = p @ (sK17 @ X49)) <- {6, 310} [superposition 4331,1387] 126.57/124.69 9189. ($false = $true) | ($false = exists_in_world @ sK24 @ X50) | ($false = rel_s4 @ X50 @ X51) | ($false = rel_s4 @ sK13 @ X50) | ($false = rel_s4 @ X50 @ sK30) | ($false = p @ (sK17 @ X51)) <- {6, 302} [superposition 4308,1387] 126.57/124.69 9190. ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ sK19 @ sK30)) @ $true) | ($false = exists_in_world @ sK24 @ X52) | ($false = rel_s4 @ X52 @ X53) | ($false = rel_s4 @ sK13 @ X52) | ($false = rel_s4 @ X52 @ sK30) | ($false = p @ (sK17 @ X53)) <- {6, 108} [superposition 2193,1387] 126.57/124.69 9191. ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ sK19 @ sK33)) @ $true) | ($false = exists_in_world @ sK24 @ X54) | ($false = rel_s4 @ X54 @ X55) | ($false = rel_s4 @ sK13 @ X54) | ($false = rel_s4 @ X54 @ sK33) | ($false = p @ (sK17 @ X55)) <- {6, 328} [superposition 4396,1387] 126.57/124.69 9192. ($false = $true) | ($false = exists_in_world @ sK24 @ X54) | ($false = rel_s4 @ X54 @ X55) | ($false = rel_s4 @ sK13 @ X54) | ($false = rel_s4 @ X54 @ sK33) | ($false = p @ (sK17 @ X55)) <- {6, 328} [HOL short circuit evaluation 9191] 126.57/124.69 9193. ($false = $true) | ($false = exists_in_world @ sK24 @ X52) | ($false = rel_s4 @ X52 @ X53) | ($false = rel_s4 @ sK13 @ X52) | ($false = rel_s4 @ X52 @ sK30) | ($false = p @ (sK17 @ X53)) <- {6, 108} [HOL short circuit evaluation 9190] 126.57/124.69 9194. ($false = $true) | ($false = exists_in_world @ sK24 @ X48) | ($false = rel_s4 @ X48 @ X49) | ($false = rel_s4 @ sK13 @ X48) | ($false = rel_s4 @ X48 @ sK30) | ($false = p @ (sK17 @ X49)) <- {6, 310} [HOL short circuit evaluation 9188] 126.57/124.69 9195. ($false = $true) | ($false = exists_in_world @ sK20 @ X46) | ($false = rel_s4 @ X46 @ X47) | ($false = rel_s4 @ sK13 @ X46) | ($false = rel_s4 @ X46 @ sK28) | ($false = p @ (sK17 @ X47)) <- {6, 102} [HOL short circuit evaluation 9187] 126.57/124.69 9196. ($false = $true) | ($false = exists_in_world @ sK20 @ X42) | ($false = rel_s4 @ X42 @ X43) | ($false = rel_s4 @ sK13 @ X42) | ($false = rel_s4 @ X42 @ sK28) | ($false = p @ (sK17 @ X43)) <- {6, 280} [HOL short circuit evaluation 9185] 126.57/124.69 9203. 718 <=> ! [X11,X10] : (($false = exists_in_world @ sK20 @ X10) | ($false = p @ (sK17 @ X11)) | ($false = rel_s4 @ X10 @ sK28) | ($false = rel_s4 @ sK13 @ X10) | ($false = rel_s4 @ X10 @ X11)) [avatar definition] 126.57/124.69 9205. 718 | 0 | ~6 | ~272 [avatar split clause 9172,4202,368,315,9203] 126.57/124.69 9207. 720 <=> ! [X13,X12] : (($false = exists_in_world @ sK24 @ X12) | ($false = p @ (sK17 @ X13)) | ($false = rel_s4 @ X12 @ sK30) | ($false = rel_s4 @ sK13 @ X12) | ($false = rel_s4 @ X12 @ X13)) [avatar definition] 126.57/124.69 9209. 720 | 0 | ~6 | ~302 [avatar split clause 9173,4307,368,315,9207] 126.57/124.69 9210. 718 | 0 | ~6 | ~280 [avatar split clause 9196,4225,368,315,9203] 126.57/124.69 9211. 718 | 0 | ~6 | ~272 [avatar split clause 9186,4202,368,315,9203] 126.57/124.69 9212. 718 | 0 | ~6 | ~102 [avatar split clause 9195,2158,368,315,9203] 126.57/124.69 9213. 720 | 0 | ~6 | ~310 [avatar split clause 9194,4330,368,315,9207] 126.57/124.69 9214. 720 | 0 | ~6 | ~302 [avatar split clause 9189,4307,368,315,9207] 126.57/124.69 9215. 720 | 0 | ~6 | ~108 [avatar split clause 9193,2192,368,315,9207] 126.57/124.69 9217. 722 <=> ! [X55,X54] : (($false = exists_in_world @ sK24 @ X54) | ($false = p @ (sK17 @ X55)) | ($false = rel_s4 @ X54 @ sK33) | ($false = rel_s4 @ sK13 @ X54) | ($false = rel_s4 @ X54 @ X55)) [avatar definition] 126.57/124.69 9219. 722 | 0 | ~6 | ~328 [avatar split clause 9192,4395,368,315,9217] 126.57/124.69 9223. ($false = $true) | ($true = p @ (sK17 @ sK13)) | ($false = exists_in_world @ X119 @ X120) | ($false = rel_s4 @ X120 @ sK13) | ($false = rel_s4 @ sK13 @ X120) | ($false = rel_s4 @ X120 @ X121) | ($true = big_q @ X119 @ X121) <- {6, 126} [superposition 2283,1389] 126.57/124.69 9261. ($false = $true) | ($false = exists_in_world @ X203 @ X204) | ($false = rel_s4 @ X204 @ sK13) | ($false = rel_s4 @ sK13 @ X204) | ($false = rel_s4 @ X204 @ X205) | ($true = big_q @ X203 @ X205) | ($true = p @ (sK17 @ sK13)) <- {6, 126} [superposition 1389,2283] 126.57/124.69 9262. ($false = vOR_37 @ (vNOT_33 @ $false) @ (p @ (sK17 @ sK13))) | ($false = exists_in_world @ X206 @ X207) | ($false = rel_s4 @ X207 @ sK13) | ($false = rel_s4 @ sK13 @ X207) | ($false = rel_s4 @ X207 @ X208) | ($true = big_q @ X206 @ X208) | ($true = p @ (sK17 @ sK13)) <- {6, 126} [superposition 959,2283] 126.57/124.69 9275. ($false = $true) | ($false = p @ (sK17 @ X2)) | ($false = rel_s4 @ X1 @ sK22) | ($false = rel_s4 @ sK13 @ X1) | ($false = rel_s4 @ X1 @ X2) | ($true != rel_s4 @ X3 @ X1) | ($true != exists_in_world @ sK20 @ X3) <- {142} [superposition 2384,206] 126.57/124.69 9276. ($false = $true) | ($false = p @ (sK17 @ X11)) | ($false = rel_s4 @ sK19 @ sK22) | ($false = rel_s4 @ sK13 @ sK19) | ($false = rel_s4 @ sK19 @ X11) <- {50, 142} [superposition 2384,1297] 126.57/124.69 9277. ($false = $true) | ($false = p @ (sK17 @ X12)) | ($false = rel_s4 @ sK22 @ sK22) | ($false = rel_s4 @ sK13 @ sK22) | ($false = rel_s4 @ sK22 @ X12) <- {90, 142} [superposition 2384,2112] 126.57/124.69 9278. ($false = $true) | ($true != rel_s4 @ X1 @ X0) | ($true != exists_in_world @ sK20 @ X1) | ($false = p @ (sK17 @ X2)) | ($false = rel_s4 @ X0 @ sK22) | ($false = rel_s4 @ sK13 @ X0) | ($false = rel_s4 @ X0 @ X2) <- {142} [superposition 206,2384] 126.57/124.69 9281. ($false != $false) | rel_s4 @ X12 = exists_in_world @ sK20 | ($true != exists_in_world @ sK20 @ X13) | ($false = rel_s4 @ X13 @ X12) | ($false = p @ (sK17 @ X14)) | ($false = rel_s4 @ (sK10 @ (exists_in_world @ sK20) @ (rel_s4 @ X12)) @ sK22) | ($false = rel_s4 @ sK13 @ (sK10 @ (exists_in_world @ sK20) @ (rel_s4 @ X12))) | ($false = rel_s4 @ (sK10 @ (exists_in_world @ sK20) @ (rel_s4 @ X12)) @ X14) <- {142} [superposition 3136,2384] 126.57/124.69 9282. ($false != $false) | rel_s4 @ X15 = exists_in_world @ sK20 | ($true != exists_in_world @ sK20 @ X15) | ($false = p @ (sK17 @ X16)) | ($false = rel_s4 @ (sK10 @ (exists_in_world @ sK20) @ (rel_s4 @ X15)) @ sK22) | ($false = rel_s4 @ sK13 @ (sK10 @ (exists_in_world @ sK20) @ (rel_s4 @ X15))) | ($false = rel_s4 @ (sK10 @ (exists_in_world @ sK20) @ (rel_s4 @ X15)) @ X16) <- {142} [superposition 3037,2384] 126.57/124.69 9283. ($false != $false) | rel_s4 @ X18 = exists_in_world @ sK20 | ($true != exists_in_world @ sK20 @ X19) | ($false = rel_s4 @ X19 @ X20) | ($false = rel_s4 @ X20 @ X18) | ($false = p @ (sK17 @ X21)) | ($false = rel_s4 @ (sK10 @ (rel_s4 @ X18) @ (exists_in_world @ sK20)) @ sK22) | ($false = rel_s4 @ sK13 @ (sK10 @ (rel_s4 @ X18) @ (exists_in_world @ sK20))) | ($false = rel_s4 @ (sK10 @ (rel_s4 @ X18) @ (exists_in_world @ sK20)) @ X21) <- {142} [superposition 3236,2384] 126.57/124.69 9285. ($false != $false) | rel_s4 @ X24 = exists_in_world @ sK20 | ($true != exists_in_world @ sK20 @ X25) | ($false = rel_s4 @ X25 @ X24) | ($false = p @ (sK17 @ X26)) | ($false = rel_s4 @ (sK10 @ (rel_s4 @ X24) @ (exists_in_world @ sK20)) @ sK22) | ($false = rel_s4 @ sK13 @ (sK10 @ (rel_s4 @ X24) @ (exists_in_world @ sK20))) | ($false = rel_s4 @ (sK10 @ (rel_s4 @ X24) @ (exists_in_world @ sK20)) @ X26) <- {142} [superposition 1752,2384] 126.57/124.69 9286. ($false != $false) | rel_s4 @ X27 = exists_in_world @ sK20 | ($true != exists_in_world @ sK20 @ X27) | ($false = p @ (sK17 @ X28)) | ($false = rel_s4 @ (sK10 @ (rel_s4 @ X27) @ (exists_in_world @ sK20)) @ sK22) | ($false = rel_s4 @ sK13 @ (sK10 @ (rel_s4 @ X27) @ (exists_in_world @ sK20))) | ($false = rel_s4 @ (sK10 @ (rel_s4 @ X27) @ (exists_in_world @ sK20)) @ X28) <- {142} [superposition 1630,2384] 126.57/124.69 9288. ($false = rel_s4 @ sK13 @ (sK10 @ X31 @ (exists_in_world @ sK20))) | exists_in_world @ sK20 = X31 | ($false = p @ (sK17 @ X32)) | ($false = rel_s4 @ (sK10 @ X31 @ (exists_in_world @ sK20)) @ sK22) | ($false != X31 @ (sK10 @ X31 @ (exists_in_world @ sK20))) | ($false = rel_s4 @ (sK10 @ X31 @ (exists_in_world @ sK20)) @ X32) <- {142} [superposition 171,2384] 126.57/124.69 9289. ($false = rel_s4 @ sK13 @ (sK10 @ (exists_in_world @ sK20) @ X34)) | exists_in_world @ sK20 = X34 | ($false = p @ (sK17 @ X35)) | ($false = rel_s4 @ (sK10 @ (exists_in_world @ sK20) @ X34) @ sK22) | ($false != X34 @ (sK10 @ (exists_in_world @ sK20) @ X34)) | ($false = rel_s4 @ (sK10 @ (exists_in_world @ sK20) @ X34) @ X35) <- {142} [superposition 171,2384] 126.57/124.69 9292. ($false = $true) | ($false = p @ (sK17 @ X40)) | ($false = rel_s4 @ sK19 @ sK22) | ($false = rel_s4 @ sK13 @ sK19) | ($false = rel_s4 @ sK19 @ X40) <- {50, 142} [superposition 1297,2384] 126.57/124.69 9293. ($false = vIMP_37 @ $false @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK19))) @ (big_q @ sK20)))) | ($false = p @ (sK17 @ X41)) | ($false = rel_s4 @ sK19 @ sK22) | ($false = rel_s4 @ sK13 @ sK19) | ($false = rel_s4 @ sK19 @ X41) <- {28, 142} [superposition 806,2384] 126.57/124.69 9294. ($false = $true) | ($false = p @ (sK17 @ X42)) | ($false = rel_s4 @ sK22 @ sK22) | ($false = rel_s4 @ sK13 @ sK22) | ($false = rel_s4 @ sK22 @ X42) <- {90, 142} [superposition 2112,2384] 126.57/124.69 9295. ($false = $true) | ($false = p @ (sK17 @ X41)) | ($false = rel_s4 @ sK19 @ sK22) | ($false = rel_s4 @ sK13 @ sK19) | ($false = rel_s4 @ sK19 @ X41) <- {28, 142} [HOL short circuit evaluation 9293] 126.57/124.69 9296. ($false = rel_s4 @ sK13 @ (sK10 @ (rel_s4 @ X27) @ (exists_in_world @ sK20))) | ($true != exists_in_world @ sK20 @ X27) | ($false = p @ (sK17 @ X28)) | ($false = rel_s4 @ (sK10 @ (rel_s4 @ X27) @ (exists_in_world @ sK20)) @ sK22) | rel_s4 @ X27 = exists_in_world @ sK20 | ($false = rel_s4 @ (sK10 @ (rel_s4 @ X27) @ (exists_in_world @ sK20)) @ X28) <- {142} [trivial inequality removal 9286] 126.57/124.69 9297. ($false = rel_s4 @ sK13 @ (sK10 @ (rel_s4 @ X24) @ (exists_in_world @ sK20))) | ($true != exists_in_world @ sK20 @ X25) | ($false = rel_s4 @ X25 @ X24) | ($false = p @ (sK17 @ X26)) | ($false = rel_s4 @ (sK10 @ (rel_s4 @ X24) @ (exists_in_world @ sK20)) @ sK22) | rel_s4 @ X24 = exists_in_world @ sK20 | ($false = rel_s4 @ (sK10 @ (rel_s4 @ X24) @ (exists_in_world @ sK20)) @ X26) <- {142} [trivial inequality removal 9285] 126.57/124.69 9299. ($false = rel_s4 @ sK13 @ (sK10 @ (rel_s4 @ X18) @ (exists_in_world @ sK20))) | ($true != exists_in_world @ sK20 @ X19) | ($false = rel_s4 @ X19 @ X20) | ($false = rel_s4 @ X20 @ X18) | ($false = p @ (sK17 @ X21)) | ($false = rel_s4 @ (sK10 @ (rel_s4 @ X18) @ (exists_in_world @ sK20)) @ sK22) | rel_s4 @ X18 = exists_in_world @ sK20 | ($false = rel_s4 @ (sK10 @ (rel_s4 @ X18) @ (exists_in_world @ sK20)) @ X21) <- {142} [trivial inequality removal 9283] 126.57/124.69 9300. ($false = rel_s4 @ sK13 @ (sK10 @ (exists_in_world @ sK20) @ (rel_s4 @ X15))) | ($true != exists_in_world @ sK20 @ X15) | ($false = p @ (sK17 @ X16)) | ($false = rel_s4 @ (sK10 @ (exists_in_world @ sK20) @ (rel_s4 @ X15)) @ sK22) | rel_s4 @ X15 = exists_in_world @ sK20 | ($false = rel_s4 @ (sK10 @ (exists_in_world @ sK20) @ (rel_s4 @ X15)) @ X16) <- {142} [trivial inequality removal 9282] 126.57/124.69 9301. ($false = rel_s4 @ sK13 @ (sK10 @ (exists_in_world @ sK20) @ (rel_s4 @ X12))) | ($true != exists_in_world @ sK20 @ X13) | ($false = rel_s4 @ X13 @ X12) | ($false = p @ (sK17 @ X14)) | ($false = rel_s4 @ (sK10 @ (exists_in_world @ sK20) @ (rel_s4 @ X12)) @ sK22) | rel_s4 @ X12 = exists_in_world @ sK20 | ($false = rel_s4 @ (sK10 @ (exists_in_world @ sK20) @ (rel_s4 @ X12)) @ X14) <- {142} [trivial inequality removal 9281] 126.57/124.69 9303. 724 <=> ! [X1,X3,X2] : (($false = p @ (sK17 @ X2)) | ($true != exists_in_world @ sK20 @ X3) | ($true != rel_s4 @ X3 @ X1) | ($false = rel_s4 @ X1 @ sK22) | ($false = rel_s4 @ X1 @ X2) | ($false = rel_s4 @ sK13 @ X1)) [avatar definition] 126.57/124.69 9304. ($false = rel_s4 @ sK13 @ X1) | ($true != exists_in_world @ sK20 @ X3) | ($true != rel_s4 @ X3 @ X1) | ($false = rel_s4 @ X1 @ sK22) | ($false = rel_s4 @ X1 @ X2) | ($false = p @ (sK17 @ X2)) <- {724} [avatar component clause 9303] 126.57/124.69 9305. 724 | 0 | ~142 [avatar split clause 9275,2383,315,9303] 126.57/124.69 9306. ($false = $true) | ($false = $true) | ($false = p @ (sK17 @ X11)) | ($false = rel_s4 @ sK19 @ sK22) | ($false = rel_s4 @ sK19 @ X11) <- {26, 50, 142} [forward demodulation 9276,799] 126.57/124.69 9307. ($false = $true) | ($false = p @ (sK17 @ X11)) | ($false = rel_s4 @ sK19 @ sK22) | ($false = rel_s4 @ sK19 @ X11) <- {26, 50, 142} [duplicate literal removal 9306] 126.57/124.69 9309. 727 <=> ($false != rel_s4 @ sK19 @ sK22) [avatar definition] 126.57/124.69 9310. ($false != rel_s4 @ sK19 @ sK22) <- {727} [avatar component clause 9309] 126.57/124.69 9312. 726 <=> ($false = rel_s4 @ sK19 @ sK22) [avatar definition] 126.57/124.69 9314. 726 | 138 | 0 | ~26 | ~50 | ~142 [avatar split clause 9307,2383,1296,798,315,2315,9312] 126.57/124.69 9316. 729 <=> ($false != rel_s4 @ sK22 @ sK22) [avatar definition] 126.57/124.69 9317. ($false != rel_s4 @ sK22 @ sK22) <- {729} [avatar component clause 9316] 126.57/124.69 9319. 728 <=> ($false = rel_s4 @ sK22 @ sK22) [avatar definition] 126.57/124.69 9320. ($false = rel_s4 @ sK22 @ sK22) <- {728} [avatar component clause 9319] 126.57/124.69 9321. 692 | 728 | 614 | 0 | ~90 | ~142 [avatar split clause 9277,2383,2111,315,7851,9319,8967] 126.57/124.69 9322. 724 | 0 | ~142 [avatar split clause 9278,2383,315,9303] 126.57/124.69 9323. ($false = $true) | ($false = $true) | ($false = p @ (sK17 @ X40)) | ($false = rel_s4 @ sK19 @ sK22) | ($false = rel_s4 @ sK19 @ X40) <- {26, 50, 142} [forward demodulation 9292,799] 126.57/124.69 9324. ($false = $true) | ($false = p @ (sK17 @ X40)) | ($false = rel_s4 @ sK19 @ sK22) | ($false = rel_s4 @ sK19 @ X40) <- {26, 50, 142} [duplicate literal removal 9323] 126.57/124.69 9325. 726 | 138 | 0 | ~26 | ~50 | ~142 [avatar split clause 9324,2383,1296,798,315,2315,9312] 126.57/124.69 9326. ($false = $true) | ($false = $true) | ($false = p @ (sK17 @ X41)) | ($false = rel_s4 @ sK19 @ sK22) | ($false = rel_s4 @ sK19 @ X41) <- {26, 28, 142} [forward demodulation 9295,799] 126.57/124.69 9327. ($false = $true) | ($false = p @ (sK17 @ X41)) | ($false = rel_s4 @ sK19 @ sK22) | ($false = rel_s4 @ sK19 @ X41) <- {26, 28, 142} [duplicate literal removal 9326] 126.57/124.69 9328. 726 | 138 | 0 | ~26 | ~28 | ~142 [avatar split clause 9327,2383,805,798,315,2315,9312] 126.57/124.69 9329. 692 | 728 | 614 | 0 | ~90 | ~142 [avatar split clause 9294,2383,2111,315,7851,9319,8967] 126.57/124.69 9343. ($false = p @ (sK17 @ (sK10 @ (rel_s4 @ X153) @ (rel_s4 @ sK19)))) | ($false = rel_s4 @ sK19 @ X154) | ($false = rel_s4 @ X154 @ X153) | rel_s4 @ sK19 = rel_s4 @ X153 <- {138} [trivial inequality removal 7929] 126.57/124.69 9361. ($false = p @ (sK17 @ sK19)) | ($false = rel_s4 @ sK19 @ sK19) <- {254} [trivial inequality removal 7829] 126.57/124.69 9362. ($false = p @ (sK17 @ sK19)) | ($false = rel_s4 @ sK19 @ sK19) <- {254} [trivial inequality removal 8033] 126.57/124.69 9394. ($false = rel_s4 @ sK19 @ (sK16 @ vSIGMA_16)) | vPI_16 = vSIGMA_16 | ($true = sK0 @ vSIGMA_16 @ vPI_16 @ X38) | ($true != vPI_16 @ (sK0 @ vSIGMA_16 @ vPI_16)) <- {266} [duplicate literal removal 8065] 126.57/124.69 9395. ($false = rel_s4 @ sK19 @ (sK16 @ vSIGMA_16)) | vPI_16 = vSIGMA_16 | ($true = sK0 @ vSIGMA_16 @ vPI_16 @ X38) | ($false = sK0 @ vSIGMA_16 @ vPI_16 @ sK37) <- {266} [HOL SIGMA constant elimination 9394] 126.57/124.69 9396. ($false = rel_s4 @ sK19 @ (sK16 @ vSIGMA_16)) | vPI_16 = vSIGMA_16 | ($true = sK0 @ vSIGMA_16 @ vPI_16 @ X38) | ($false = sK0 @ vSIGMA_16 @ vPI_16 @ sK38) <- {266} [HOL SIGMA constant elimination 8067] 126.57/124.69 9402. 730 <=> ($false = sK0 @ vSIGMA_16 @ vPI_16 @ sK38) [avatar definition] 126.57/124.69 9404. 730 | 630 | 422 | 632 | ~266 [avatar split clause 9396,4171,8115,5169,8109,9402] 126.57/124.69 9409. 732 <=> ($false = sK0 @ vSIGMA_16 @ vPI_16 @ sK37) [avatar definition] 126.57/124.69 9411. 732 | 630 | 422 | 632 | ~266 [avatar split clause 9395,4171,8115,5169,8109,9409] 126.57/124.69 9412. 138 | 0 | ~254 [avatar split clause 7983,4142,315,2315] 126.57/124.69 9413. 138 | 0 | ~254 [avatar split clause 7976,4142,315,2315] 126.57/124.69 9415. 735 <=> ($false != rel_s4 @ sK19 @ sK19) [avatar definition] 126.57/124.69 9416. ($false != rel_s4 @ sK19 @ sK19) <- {735} [avatar component clause 9415] 126.57/124.69 9418. 734 <=> ($false = rel_s4 @ sK19 @ sK19) [avatar definition] 126.57/124.69 9419. ($false = rel_s4 @ sK19 @ sK19) <- {734} [avatar component clause 9418] 126.57/124.69 9420. 734 | 210 | ~254 [avatar split clause 7906,4142,3778,9418] 126.57/124.69 9421. 734 | 210 | ~254 [avatar split clause 8034,4142,3778,9418] 126.57/124.69 9422. 734 | 210 | ~254 [avatar split clause 9362,4142,3778,9418] 126.57/124.69 9423. 734 | 210 | ~254 [avatar split clause 7830,4142,3778,9418] 126.57/124.69 9424. 734 | 210 | ~254 [avatar split clause 9361,4142,3778,9418] 126.57/124.69 9425. 138 | 0 | ~254 [avatar split clause 7779,4142,315,2315] 126.57/124.69 9426. 138 | 0 | ~254 [avatar split clause 7772,4142,315,2315] 126.57/124.69 9485. ($false = p @ (sK10 @ X0 @ (big_q @ X1))) | big_q @ X1 = X0 | ($false = exists_in_world @ X1 @ sK18) | ($false = rel_s4 @ sK18 @ X2) | ($false = rel_s4 @ sK13 @ sK18) | ($true != X0 @ (sK10 @ X0 @ (big_q @ X1))) | ($false = p @ (sK17 @ X2)) <- {6, 638} [superposition 2365,8154] 126.57/124.69 9486. ($false = $true) | big_q @ X60 = X59 | ($false = exists_in_world @ X60 @ (sK10 @ X59 @ (big_q @ X60))) | ($false = rel_s4 @ (sK10 @ X59 @ (big_q @ X60)) @ X61) | ($false = rel_s4 @ sK13 @ (sK10 @ X59 @ (big_q @ X60))) | ($true != X59 @ (sK10 @ X59 @ (big_q @ X60))) | ($false = p @ (sK17 @ X61)) <- {6} [superposition 2365,258] 126.57/124.69 9487. ($false = $true) | big_q @ X72 = X71 | ($false = exists_in_world @ X72 @ X70) | ($false = rel_s4 @ X70 @ X73) | ($false = rel_s4 @ sK13 @ X70) | ($true != X71 @ (sK10 @ X71 @ (big_q @ X72))) | ($false = p @ (sK17 @ X73)) | ($false = rel_s4 @ X70 @ X74) | ($false = rel_s4 @ X74 @ (sK10 @ X71 @ (big_q @ X72))) <- {6} [superposition 2365,253] 126.57/124.69 9490. ($false = $true) | big_q @ X64 = X63 | ($false = exists_in_world @ X64 @ (sK10 @ X63 @ (big_q @ X64))) | ($false = rel_s4 @ (sK10 @ X63 @ (big_q @ X64)) @ X65) | ($false = rel_s4 @ sK13 @ (sK10 @ X63 @ (big_q @ X64))) | ($true != X63 @ (sK10 @ X63 @ (big_q @ X64))) | ($false = p @ (sK17 @ X65)) <- {6} [superposition 258,2365] 126.57/124.69 9491. ($false = $true) | ($false = rel_s4 @ X74 @ X77) | ($false = rel_s4 @ X77 @ (sK10 @ X75 @ (big_q @ X76))) | big_q @ X76 = X75 | ($false = exists_in_world @ X76 @ X74) | ($false = rel_s4 @ X74 @ X78) | ($false = rel_s4 @ sK13 @ X74) | ($true != X75 @ (sK10 @ X75 @ (big_q @ X76))) | ($false = p @ (sK17 @ X78)) <- {6} [superposition 253,2365] 126.57/124.69 9492. ($false != $false) | big_q @ X2 = X1 | ($false = exists_in_world @ X2 @ X0) | ($false = rel_s4 @ X0 @ (sK10 @ X1 @ (big_q @ X2))) | ($false = rel_s4 @ sK13 @ X0) | ($true != X1 @ (sK10 @ X1 @ (big_q @ X2))) | ($false = p @ (sK17 @ (sK10 @ X1 @ (big_q @ X2)))) <- {6} [equality factoring 2365] 126.57/124.69 9493. ($false = rel_s4 @ X0 @ (sK10 @ X1 @ (big_q @ X2))) | ($false = exists_in_world @ X2 @ X0) | big_q @ X2 = X1 | ($false = rel_s4 @ sK13 @ X0) | ($true != X1 @ (sK10 @ X1 @ (big_q @ X2))) | ($false = p @ (sK17 @ (sK10 @ X1 @ (big_q @ X2)))) <- {6} [trivial inequality removal 9492] 126.57/124.69 9496. ($false = p @ X2) | ($false = p @ (sK10 @ X0 @ (big_q @ X1))) | big_q @ X1 = X0 | ($false = exists_in_world @ X1 @ sK18) | ($false = rel_s4 @ sK13 @ sK18) | ($true != X0 @ (sK10 @ X0 @ (big_q @ X1))) | ($false = p @ (sK17 @ X2)) <- {6, 638} [forward demodulation 9485,8154] 126.57/124.69 9497. ($false = $true) | ($false = p @ X2) | ($false = p @ (sK10 @ X0 @ (big_q @ X1))) | big_q @ X1 = X0 | ($false = exists_in_world @ X1 @ sK18) | ($true != X0 @ (sK10 @ X0 @ (big_q @ X1))) | ($false = p @ (sK17 @ X2)) <- {6, 34, 638} [forward demodulation 9496,839] 126.57/124.69 9499. 736 <=> ! [X1 : mu,X0 : ($i > $o)] : (($false = p @ (sK10 @ X0 @ (big_q @ X1))) | ($true != X0 @ (sK10 @ X0 @ (big_q @ X1))) | ($false = exists_in_world @ X1 @ sK18) | big_q @ X1 = X0) [avatar definition] 126.57/124.69 9501. 736 | 704 | 0 | ~6 | ~34 | ~638 [avatar split clause 9497,8153,838,368,315,9103,9499] 126.57/124.69 9503. 738 <=> ! [X60 : mu,X59 : ($i > $o),X61] : (big_q @ X60 = X59 | ($false = p @ (sK17 @ X61)) | ($true != X59 @ (sK10 @ X59 @ (big_q @ X60))) | ($false = rel_s4 @ sK13 @ (sK10 @ X59 @ (big_q @ X60))) | ($false = rel_s4 @ (sK10 @ X59 @ (big_q @ X60)) @ X61) | ($false = exists_in_world @ X60 @ (sK10 @ X59 @ (big_q @ X60)))) [avatar definition] 126.57/124.69 9504. ($false = exists_in_world @ X60 @ (sK10 @ X59 @ (big_q @ X60))) | ($false = p @ (sK17 @ X61)) | ($true != X59 @ (sK10 @ X59 @ (big_q @ X60))) | ($false = rel_s4 @ sK13 @ (sK10 @ X59 @ (big_q @ X60))) | ($false = rel_s4 @ (sK10 @ X59 @ (big_q @ X60)) @ X61) | big_q @ X60 = X59 <- {738} [avatar component clause 9503] 126.57/124.69 9505. 738 | 0 | ~6 [avatar split clause 9486,368,315,9503] 126.57/124.69 9507. 740 <=> ! [X73,X71 : ($i > $o),X72 : mu,X74,X70] : (big_q @ X72 = X71 | ($false = rel_s4 @ X74 @ (sK10 @ X71 @ (big_q @ X72))) | ($false = rel_s4 @ X70 @ X74) | ($false = p @ (sK17 @ X73)) | ($true != X71 @ (sK10 @ X71 @ (big_q @ X72))) | ($false = rel_s4 @ sK13 @ X70) | ($false = rel_s4 @ X70 @ X73) | ($false = exists_in_world @ X72 @ X70)) [avatar definition] 126.57/124.69 9508. ($false = rel_s4 @ X74 @ (sK10 @ X71 @ (big_q @ X72))) | big_q @ X72 = X71 | ($false = rel_s4 @ X70 @ X74) | ($false = p @ (sK17 @ X73)) | ($true != X71 @ (sK10 @ X71 @ (big_q @ X72))) | ($false = rel_s4 @ sK13 @ X70) | ($false = rel_s4 @ X70 @ X73) | ($false = exists_in_world @ X72 @ X70) <- {740} [avatar component clause 9507] 126.57/124.69 9509. 740 | 0 | ~6 [avatar split clause 9487,368,315,9507] 126.57/124.69 9510. 738 | 0 | ~6 [avatar split clause 9490,368,315,9503] 126.57/124.69 9511. 740 | 0 | ~6 [avatar split clause 9491,368,315,9507] 126.57/124.69 9513. ($false = p @ (sK10 @ (big_q @ X0) @ X1)) | big_q @ X0 = X1 | ($false = exists_in_world @ X0 @ sK18) | ($false = rel_s4 @ sK18 @ X2) | ($false = rel_s4 @ sK13 @ sK18) | ($true != X1 @ (sK10 @ (big_q @ X0) @ X1)) | ($false = p @ (sK17 @ X2)) <- {6, 638} [superposition 2367,8154] 126.57/124.69 9514. ($false = $true) | big_q @ X98 = X99 | ($false = exists_in_world @ X98 @ (sK10 @ (big_q @ X98) @ X99)) | ($false = rel_s4 @ (sK10 @ (big_q @ X98) @ X99) @ X100) | ($false = rel_s4 @ sK13 @ (sK10 @ (big_q @ X98) @ X99)) | ($true != X99 @ (sK10 @ (big_q @ X98) @ X99)) | ($false = p @ (sK17 @ X100)) <- {6} [superposition 2367,258] 126.57/124.69 9515. ($false = $true) | big_q @ X110 = X111 | ($false = exists_in_world @ X110 @ X109) | ($false = rel_s4 @ X109 @ X112) | ($false = rel_s4 @ sK13 @ X109) | ($true != X111 @ (sK10 @ (big_q @ X110) @ X111)) | ($false = p @ (sK17 @ X112)) | ($false = rel_s4 @ X109 @ X113) | ($false = rel_s4 @ X113 @ (sK10 @ (big_q @ X110) @ X111)) <- {6} [superposition 2367,253] 126.57/124.69 9521. ($false = $true) | big_q @ X112 = X113 | ($false = exists_in_world @ X112 @ (sK10 @ (big_q @ X112) @ X113)) | ($false = rel_s4 @ (sK10 @ (big_q @ X112) @ X113) @ X114) | ($false = rel_s4 @ sK13 @ (sK10 @ (big_q @ X112) @ X113)) | ($true != X113 @ (sK10 @ (big_q @ X112) @ X113)) | ($false = p @ (sK17 @ X114)) <- {6} [superposition 258,2367] 126.57/124.69 9522. ($false = $true) | ($false = rel_s4 @ X123 @ X126) | ($false = rel_s4 @ X126 @ (sK10 @ (big_q @ X124) @ X125)) | big_q @ X124 = X125 | ($false = exists_in_world @ X124 @ X123) | ($false = rel_s4 @ X123 @ X127) | ($false = rel_s4 @ sK13 @ X123) | ($true != X125 @ (sK10 @ (big_q @ X124) @ X125)) | ($false = p @ (sK17 @ X127)) <- {6} [superposition 253,2367] 126.57/124.69 9523. ($false != $false) | big_q @ X1 = X2 | ($false = exists_in_world @ X1 @ X0) | ($false = rel_s4 @ X0 @ (sK10 @ (big_q @ X1) @ X2)) | ($false = rel_s4 @ sK13 @ X0) | ($true != X2 @ (sK10 @ (big_q @ X1) @ X2)) | ($false = p @ (sK17 @ (sK10 @ (big_q @ X1) @ X2))) <- {6} [equality factoring 2367] 126.57/124.69 9524. ($false = rel_s4 @ X0 @ (sK10 @ (big_q @ X1) @ X2)) | ($false = exists_in_world @ X1 @ X0) | big_q @ X1 = X2 | ($false = rel_s4 @ sK13 @ X0) | ($true != X2 @ (sK10 @ (big_q @ X1) @ X2)) | ($false = p @ (sK17 @ (sK10 @ (big_q @ X1) @ X2))) <- {6} [trivial inequality removal 9523] 126.57/124.69 9531. ($false = p @ X2) | ($false = p @ (sK10 @ (big_q @ X0) @ X1)) | big_q @ X0 = X1 | ($false = exists_in_world @ X0 @ sK18) | ($false = rel_s4 @ sK13 @ sK18) | ($true != X1 @ (sK10 @ (big_q @ X0) @ X1)) | ($false = p @ (sK17 @ X2)) <- {6, 638} [forward demodulation 9513,8154] 126.57/124.69 9533. 742 <=> ! [X98 : mu,X100,X99 : ($i > $o)] : (big_q @ X98 = X99 | ($false = p @ (sK17 @ X100)) | ($true != X99 @ (sK10 @ (big_q @ X98) @ X99)) | ($false = rel_s4 @ sK13 @ (sK10 @ (big_q @ X98) @ X99)) | ($false = rel_s4 @ (sK10 @ (big_q @ X98) @ X99) @ X100) | ($false = exists_in_world @ X98 @ (sK10 @ (big_q @ X98) @ X99))) [avatar definition] 126.57/124.69 9534. ($false = exists_in_world @ X98 @ (sK10 @ (big_q @ X98) @ X99)) | ($false = p @ (sK17 @ X100)) | ($true != X99 @ (sK10 @ (big_q @ X98) @ X99)) | ($false = rel_s4 @ sK13 @ (sK10 @ (big_q @ X98) @ X99)) | ($false = rel_s4 @ (sK10 @ (big_q @ X98) @ X99) @ X100) | big_q @ X98 = X99 <- {742} [avatar component clause 9533] 126.57/124.69 9535. 742 | 0 | ~6 [avatar split clause 9514,368,315,9533] 126.57/124.69 9537. 744 <=> ! [X113,X110 : mu,X112,X109,X111 : ($i > $o)] : (big_q @ X110 = X111 | ($false = rel_s4 @ X113 @ (sK10 @ (big_q @ X110) @ X111)) | ($false = rel_s4 @ X109 @ X113) | ($false = p @ (sK17 @ X112)) | ($true != X111 @ (sK10 @ (big_q @ X110) @ X111)) | ($false = rel_s4 @ sK13 @ X109) | ($false = rel_s4 @ X109 @ X112) | ($false = exists_in_world @ X110 @ X109)) [avatar definition] 126.57/124.69 9538. ($false = rel_s4 @ X113 @ (sK10 @ (big_q @ X110) @ X111)) | big_q @ X110 = X111 | ($false = rel_s4 @ X109 @ X113) | ($false = p @ (sK17 @ X112)) | ($true != X111 @ (sK10 @ (big_q @ X110) @ X111)) | ($false = rel_s4 @ sK13 @ X109) | ($false = rel_s4 @ X109 @ X112) | ($false = exists_in_world @ X110 @ X109) <- {744} [avatar component clause 9537] 126.57/124.69 9539. 744 | 0 | ~6 [avatar split clause 9515,368,315,9537] 126.57/124.69 9540. 742 | 0 | ~6 [avatar split clause 9521,368,315,9533] 126.57/124.69 9541. 744 | 0 | ~6 [avatar split clause 9522,368,315,9537] 126.57/124.69 9542. ($false = p @ (sK10 @ X0 @ (big_q @ X1))) | ($false != big_q @ X1 @ (sK10 @ X0 @ (big_q @ X1))) | ($false = exists_in_world @ X1 @ sK18) | ($false = rel_s4 @ sK18 @ X2) | ($false = rel_s4 @ sK13 @ sK18) | big_q @ X1 = X0 | ($false = p @ (sK17 @ X2)) <- {6, 638} [superposition 2376,8154] 126.57/124.69 9543. ($false = $true) | ($false != big_q @ X66 @ (sK10 @ X65 @ (big_q @ X66))) | ($false = exists_in_world @ X66 @ (sK10 @ X65 @ (big_q @ X66))) | ($false = rel_s4 @ (sK10 @ X65 @ (big_q @ X66)) @ X67) | ($false = rel_s4 @ sK13 @ (sK10 @ X65 @ (big_q @ X66))) | big_q @ X66 = X65 | ($false = p @ (sK17 @ X67)) <- {6} [superposition 2376,258] 126.57/124.69 9544. ($false = $true) | ($false != big_q @ X78 @ (sK10 @ X77 @ (big_q @ X78))) | ($false = exists_in_world @ X78 @ X76) | ($false = rel_s4 @ X76 @ X79) | ($false = rel_s4 @ sK13 @ X76) | big_q @ X78 = X77 | ($false = p @ (sK17 @ X79)) | ($false = rel_s4 @ X76 @ X80) | ($false = rel_s4 @ X80 @ (sK10 @ X77 @ (big_q @ X78))) <- {6} [superposition 2376,253] 126.57/124.69 9546. ($false != big_q @ X67 @ (sK10 @ (rel_s4 @ X66) @ (big_q @ X67))) | rel_s4 @ X66 = big_q @ X67 | ($false != big_q @ X67 @ (sK10 @ (rel_s4 @ X66) @ (big_q @ X67))) | ($false = exists_in_world @ X67 @ X66) | ($false = rel_s4 @ X66 @ X68) | ($false = rel_s4 @ sK13 @ X66) | rel_s4 @ X66 = big_q @ X67 | ($false = p @ (sK17 @ X68)) <- {6} [superposition 171,2376] 126.57/124.69 9547. ($false = $true) | ($false != big_q @ X70 @ (sK10 @ X69 @ (big_q @ X70))) | ($false = exists_in_world @ X70 @ (sK10 @ X69 @ (big_q @ X70))) | ($false = rel_s4 @ (sK10 @ X69 @ (big_q @ X70)) @ X71) | ($false = rel_s4 @ sK13 @ (sK10 @ X69 @ (big_q @ X70))) | big_q @ X70 = X69 | ($false = p @ (sK17 @ X71)) <- {6} [superposition 258,2376] 126.57/124.69 9548. ($false = $true) | ($false = rel_s4 @ X80 @ X83) | ($false = rel_s4 @ X83 @ (sK10 @ X81 @ (big_q @ X82))) | ($false != big_q @ X82 @ (sK10 @ X81 @ (big_q @ X82))) | ($false = exists_in_world @ X82 @ X80) | ($false = rel_s4 @ X80 @ X84) | ($false = rel_s4 @ sK13 @ X80) | big_q @ X82 = X81 | ($false = p @ (sK17 @ X84)) <- {6} [superposition 253,2376] 126.57/124.69 9549. ($false != $false) | ($false != big_q @ X2 @ (sK10 @ X1 @ (big_q @ X2))) | ($false = exists_in_world @ X2 @ X0) | ($false = rel_s4 @ X0 @ (sK10 @ X1 @ (big_q @ X2))) | ($false = rel_s4 @ sK13 @ X0) | big_q @ X2 = X1 | ($false = p @ (sK17 @ (sK10 @ X1 @ (big_q @ X2)))) <- {6} [equality factoring 2376] 126.57/124.69 9550. ($false = rel_s4 @ X0 @ (sK10 @ X1 @ (big_q @ X2))) | ($false = exists_in_world @ X2 @ X0) | ($false != big_q @ X2 @ (sK10 @ X1 @ (big_q @ X2))) | ($false = rel_s4 @ sK13 @ X0) | big_q @ X2 = X1 | ($false = p @ (sK17 @ (sK10 @ X1 @ (big_q @ X2)))) <- {6} [trivial inequality removal 9549] 126.57/124.69 9551. ($false != big_q @ X67 @ (sK10 @ (rel_s4 @ X66) @ (big_q @ X67))) | rel_s4 @ X66 = big_q @ X67 | ($false = exists_in_world @ X67 @ X66) | ($false = rel_s4 @ X66 @ X68) | ($false = rel_s4 @ sK13 @ X66) | ($false = p @ (sK17 @ X68)) <- {6} [duplicate literal removal 9546] 126.57/124.69 9553. ($false = p @ X2) | ($false = p @ (sK10 @ X0 @ (big_q @ X1))) | ($false != big_q @ X1 @ (sK10 @ X0 @ (big_q @ X1))) | ($false = exists_in_world @ X1 @ sK18) | ($false = rel_s4 @ sK13 @ sK18) | big_q @ X1 = X0 | ($false = p @ (sK17 @ X2)) <- {6, 638} [forward demodulation 9542,8154] 126.57/124.69 9555. 746 <=> ! [X65 : ($i > $o),X67,X66 : mu] : (($false != big_q @ X66 @ (sK10 @ X65 @ (big_q @ X66))) | ($false = p @ (sK17 @ X67)) | big_q @ X66 = X65 | ($false = rel_s4 @ sK13 @ (sK10 @ X65 @ (big_q @ X66))) | ($false = rel_s4 @ (sK10 @ X65 @ (big_q @ X66)) @ X67) | ($false = exists_in_world @ X66 @ (sK10 @ X65 @ (big_q @ X66)))) [avatar definition] 126.57/124.69 9556. ($false = exists_in_world @ X66 @ (sK10 @ X65 @ (big_q @ X66))) | ($false = p @ (sK17 @ X67)) | big_q @ X66 = X65 | ($false = rel_s4 @ sK13 @ (sK10 @ X65 @ (big_q @ X66))) | ($false = rel_s4 @ (sK10 @ X65 @ (big_q @ X66)) @ X67) | ($false != big_q @ X66 @ (sK10 @ X65 @ (big_q @ X66))) <- {746} [avatar component clause 9555] 126.57/124.69 9557. 746 | 0 | ~6 [avatar split clause 9543,368,315,9555] 126.57/124.69 9559. 748 <=> ! [X77 : ($i > $o),X79,X76,X78 : mu,X80] : (($false != big_q @ X78 @ (sK10 @ X77 @ (big_q @ X78))) | ($false = rel_s4 @ X80 @ (sK10 @ X77 @ (big_q @ X78))) | ($false = rel_s4 @ X76 @ X80) | ($false = p @ (sK17 @ X79)) | big_q @ X78 = X77 | ($false = rel_s4 @ sK13 @ X76) | ($false = rel_s4 @ X76 @ X79) | ($false = exists_in_world @ X78 @ X76)) [avatar definition] 126.57/124.69 9560. ($false = rel_s4 @ X80 @ (sK10 @ X77 @ (big_q @ X78))) | ($false != big_q @ X78 @ (sK10 @ X77 @ (big_q @ X78))) | ($false = rel_s4 @ X76 @ X80) | ($false = p @ (sK17 @ X79)) | big_q @ X78 = X77 | ($false = rel_s4 @ sK13 @ X76) | ($false = rel_s4 @ X76 @ X79) | ($false = exists_in_world @ X78 @ X76) <- {748} [avatar component clause 9559] 126.57/124.69 9561. 748 | 0 | ~6 [avatar split clause 9544,368,315,9559] 126.57/124.69 9562. 746 | 0 | ~6 [avatar split clause 9547,368,315,9555] 126.57/124.69 9563. 748 | 0 | ~6 [avatar split clause 9548,368,315,9559] 126.57/124.69 9564. ($false = p @ (sK10 @ (big_q @ X0) @ (exists_in_world @ X1))) | ($false != big_q @ X0 @ (sK10 @ (big_q @ X0) @ (exists_in_world @ X1))) | ($false = exists_in_world @ X0 @ sK18) | ($false = rel_s4 @ sK18 @ X2) | ($false = rel_s4 @ sK13 @ sK18) | exists_in_world @ X1 = big_q @ X0 | ($false = p @ (sK17 @ X2)) <- {6, 638} [superposition 2374,8154] 126.57/124.69 9565. ($false = $true) | ($false != big_q @ X48 @ (sK10 @ (big_q @ X48) @ (exists_in_world @ X49))) | ($false = exists_in_world @ X48 @ (sK10 @ (big_q @ X48) @ (exists_in_world @ X49))) | ($false = rel_s4 @ (sK10 @ (big_q @ X48) @ (exists_in_world @ X49)) @ X50) | ($false = rel_s4 @ sK13 @ (sK10 @ (big_q @ X48) @ (exists_in_world @ X49))) | exists_in_world @ X49 = big_q @ X48 | ($false = p @ (sK17 @ X50)) <- {6} [superposition 2374,258] 126.57/124.69 9566. ($false = $true) | ($false != big_q @ X60 @ (sK10 @ (big_q @ X60) @ (exists_in_world @ X61))) | ($false = exists_in_world @ X60 @ X59) | ($false = rel_s4 @ X59 @ X62) | ($false = rel_s4 @ sK13 @ X59) | exists_in_world @ X61 = big_q @ X60 | ($false = p @ (sK17 @ X62)) | ($false = rel_s4 @ X59 @ X63) | ($false = rel_s4 @ X63 @ (sK10 @ (big_q @ X60) @ (exists_in_world @ X61))) <- {6} [superposition 2374,253] 126.57/124.69 9569. ($false = $true) | ($false != big_q @ X53 @ (sK10 @ (big_q @ X53) @ (exists_in_world @ X54))) | ($false = exists_in_world @ X53 @ (sK10 @ (big_q @ X53) @ (exists_in_world @ X54))) | ($false = rel_s4 @ (sK10 @ (big_q @ X53) @ (exists_in_world @ X54)) @ X55) | ($false = rel_s4 @ sK13 @ (sK10 @ (big_q @ X53) @ (exists_in_world @ X54))) | exists_in_world @ X54 = big_q @ X53 | ($false = p @ (sK17 @ X55)) <- {6} [superposition 258,2374] 126.57/124.69 9570. ($false = $true) | ($false = rel_s4 @ X64 @ X67) | ($false = rel_s4 @ X67 @ (sK10 @ (big_q @ X65) @ (exists_in_world @ X66))) | ($false != big_q @ X65 @ (sK10 @ (big_q @ X65) @ (exists_in_world @ X66))) | ($false = exists_in_world @ X65 @ X64) | ($false = rel_s4 @ X64 @ X68) | ($false = rel_s4 @ sK13 @ X64) | exists_in_world @ X66 = big_q @ X65 | ($false = p @ (sK17 @ X68)) <- {6} [superposition 253,2374] 126.57/124.69 9571. ($false != $false) | ($false != big_q @ X1 @ (sK10 @ (big_q @ X1) @ (exists_in_world @ X2))) | ($false = exists_in_world @ X1 @ X0) | ($false = rel_s4 @ X0 @ (sK10 @ (big_q @ X1) @ (exists_in_world @ X2))) | ($false = rel_s4 @ sK13 @ X0) | exists_in_world @ X2 = big_q @ X1 | ($false = p @ (sK17 @ (sK10 @ (big_q @ X1) @ (exists_in_world @ X2)))) <- {6} [equality factoring 2374] 126.57/124.69 9572. ($false = rel_s4 @ X0 @ (sK10 @ (big_q @ X1) @ (exists_in_world @ X2))) | ($false = exists_in_world @ X1 @ X0) | ($false != big_q @ X1 @ (sK10 @ (big_q @ X1) @ (exists_in_world @ X2))) | ($false = rel_s4 @ sK13 @ X0) | exists_in_world @ X2 = big_q @ X1 | ($false = p @ (sK17 @ (sK10 @ (big_q @ X1) @ (exists_in_world @ X2)))) <- {6} [trivial inequality removal 9571] 126.57/124.69 9575. ($false = p @ X2) | ($false = p @ (sK10 @ (big_q @ X0) @ (exists_in_world @ X1))) | ($false != big_q @ X0 @ (sK10 @ (big_q @ X0) @ (exists_in_world @ X1))) | ($false = exists_in_world @ X0 @ sK18) | ($false = rel_s4 @ sK13 @ sK18) | exists_in_world @ X1 = big_q @ X0 | ($false = p @ (sK17 @ X2)) <- {6, 638} [forward demodulation 9564,8154] 126.57/124.69 9577. 750 <=> ! [X49 : mu,X48 : mu,X50] : (($false != big_q @ X48 @ (sK10 @ (big_q @ X48) @ (exists_in_world @ X49))) | ($false = p @ (sK17 @ X50)) | exists_in_world @ X49 = big_q @ X48 | ($false = rel_s4 @ sK13 @ (sK10 @ (big_q @ X48) @ (exists_in_world @ X49))) | ($false = rel_s4 @ (sK10 @ (big_q @ X48) @ (exists_in_world @ X49)) @ X50) | ($false = exists_in_world @ X48 @ (sK10 @ (big_q @ X48) @ (exists_in_world @ X49)))) [avatar definition] 126.57/124.69 9578. ($false = exists_in_world @ X48 @ (sK10 @ (big_q @ X48) @ (exists_in_world @ X49))) | ($false = p @ (sK17 @ X50)) | exists_in_world @ X49 = big_q @ X48 | ($false = rel_s4 @ sK13 @ (sK10 @ (big_q @ X48) @ (exists_in_world @ X49))) | ($false = rel_s4 @ (sK10 @ (big_q @ X48) @ (exists_in_world @ X49)) @ X50) | ($false != big_q @ X48 @ (sK10 @ (big_q @ X48) @ (exists_in_world @ X49))) <- {750} [avatar component clause 9577] 126.57/124.69 9579. 750 | 0 | ~6 [avatar split clause 9565,368,315,9577] 126.57/124.69 9581. 752 <=> ! [X63,X60 : mu,X62,X59,X61 : mu] : (($false != big_q @ X60 @ (sK10 @ (big_q @ X60) @ (exists_in_world @ X61))) | ($false = rel_s4 @ X63 @ (sK10 @ (big_q @ X60) @ (exists_in_world @ X61))) | ($false = rel_s4 @ X59 @ X63) | ($false = p @ (sK17 @ X62)) | exists_in_world @ X61 = big_q @ X60 | ($false = rel_s4 @ sK13 @ X59) | ($false = rel_s4 @ X59 @ X62) | ($false = exists_in_world @ X60 @ X59)) [avatar definition] 126.57/124.69 9582. ($false = rel_s4 @ X63 @ (sK10 @ (big_q @ X60) @ (exists_in_world @ X61))) | ($false != big_q @ X60 @ (sK10 @ (big_q @ X60) @ (exists_in_world @ X61))) | ($false = rel_s4 @ X59 @ X63) | ($false = p @ (sK17 @ X62)) | exists_in_world @ X61 = big_q @ X60 | ($false = rel_s4 @ sK13 @ X59) | ($false = rel_s4 @ X59 @ X62) | ($false = exists_in_world @ X60 @ X59) <- {752} [avatar component clause 9581] 126.57/124.69 9583. 752 | 0 | ~6 [avatar split clause 9566,368,315,9581] 126.57/124.69 9584. 750 | 0 | ~6 [avatar split clause 9569,368,315,9577] 126.57/124.69 9585. 752 | 0 | ~6 [avatar split clause 9570,368,315,9581] 126.57/124.69 9586. ($false = p @ (sK10 @ (big_q @ X0) @ (rel_s4 @ X1))) | ($false != big_q @ X0 @ (sK10 @ (big_q @ X0) @ (rel_s4 @ X1))) | ($false = exists_in_world @ X0 @ sK18) | ($false = rel_s4 @ sK18 @ X2) | ($false = rel_s4 @ sK13 @ sK18) | rel_s4 @ X1 = big_q @ X0 | ($false = p @ (sK17 @ X2)) <- {6, 638} [superposition 2375,8154] 126.57/124.69 9588. ($false = $true) | ($false != big_q @ X50 @ (sK10 @ (big_q @ X50) @ (rel_s4 @ X51))) | ($false = exists_in_world @ X50 @ (sK10 @ (big_q @ X50) @ (rel_s4 @ X51))) | ($false = rel_s4 @ (sK10 @ (big_q @ X50) @ (rel_s4 @ X51)) @ X52) | ($false = rel_s4 @ sK13 @ (sK10 @ (big_q @ X50) @ (rel_s4 @ X51))) | rel_s4 @ X51 = big_q @ X50 | ($false = p @ (sK17 @ X52)) <- {6} [superposition 2375,258] 126.57/124.69 9589. ($false = $true) | ($false != big_q @ X62 @ (sK10 @ (big_q @ X62) @ (rel_s4 @ X63))) | ($false = exists_in_world @ X62 @ X61) | ($false = rel_s4 @ X61 @ X64) | ($false = rel_s4 @ sK13 @ X61) | rel_s4 @ X63 = big_q @ X62 | ($false = p @ (sK17 @ X64)) | ($false = rel_s4 @ X61 @ X65) | ($false = rel_s4 @ X65 @ (sK10 @ (big_q @ X62) @ (rel_s4 @ X63))) <- {6} [superposition 2375,253] 126.57/124.69 9590. ($false != $false) | rel_s4 @ X45 = big_q @ X46 | ($false != big_q @ X46 @ (sK10 @ (big_q @ X46) @ (rel_s4 @ X45))) | ($false != big_q @ X46 @ (sK10 @ (big_q @ X46) @ (rel_s4 @ X45))) | ($false = exists_in_world @ X46 @ X45) | ($false = rel_s4 @ X45 @ X47) | ($false = rel_s4 @ sK13 @ X45) | rel_s4 @ X45 = big_q @ X46 | ($false = p @ (sK17 @ X47)) <- {6} [superposition 990,2375] 126.57/124.69 9593. ($false = $true) | ($false != big_q @ X56 @ (sK10 @ (big_q @ X56) @ (rel_s4 @ X57))) | ($false = exists_in_world @ X56 @ (sK10 @ (big_q @ X56) @ (rel_s4 @ X57))) | ($false = rel_s4 @ (sK10 @ (big_q @ X56) @ (rel_s4 @ X57)) @ X58) | ($false = rel_s4 @ sK13 @ (sK10 @ (big_q @ X56) @ (rel_s4 @ X57))) | rel_s4 @ X57 = big_q @ X56 | ($false = p @ (sK17 @ X58)) <- {6} [superposition 258,2375] 126.57/124.69 9594. ($false = $true) | ($false = rel_s4 @ X67 @ X70) | ($false = rel_s4 @ X70 @ (sK10 @ (big_q @ X68) @ (rel_s4 @ X69))) | ($false != big_q @ X68 @ (sK10 @ (big_q @ X68) @ (rel_s4 @ X69))) | ($false = exists_in_world @ X68 @ X67) | ($false = rel_s4 @ X67 @ X71) | ($false = rel_s4 @ sK13 @ X67) | rel_s4 @ X69 = big_q @ X68 | ($false = p @ (sK17 @ X71)) <- {6} [superposition 253,2375] 126.57/124.69 9595. ($false != $false) | ($false != big_q @ X1 @ (sK10 @ (big_q @ X1) @ (rel_s4 @ X2))) | ($false = exists_in_world @ X1 @ X0) | ($false = rel_s4 @ X0 @ (sK10 @ (big_q @ X1) @ (rel_s4 @ X2))) | ($false = rel_s4 @ sK13 @ X0) | rel_s4 @ X2 = big_q @ X1 | ($false = p @ (sK17 @ (sK10 @ (big_q @ X1) @ (rel_s4 @ X2)))) <- {6} [equality factoring 2375] 126.57/124.69 9596. ($false = rel_s4 @ X0 @ (sK10 @ (big_q @ X1) @ (rel_s4 @ X2))) | ($false = exists_in_world @ X1 @ X0) | ($false != big_q @ X1 @ (sK10 @ (big_q @ X1) @ (rel_s4 @ X2))) | ($false = rel_s4 @ sK13 @ X0) | rel_s4 @ X2 = big_q @ X1 | ($false = p @ (sK17 @ (sK10 @ (big_q @ X1) @ (rel_s4 @ X2)))) <- {6} [trivial inequality removal 9595] 126.57/124.69 9599. ($false != $false) | rel_s4 @ X45 = big_q @ X46 | ($false != big_q @ X46 @ (sK10 @ (big_q @ X46) @ (rel_s4 @ X45))) | ($false = exists_in_world @ X46 @ X45) | ($false = rel_s4 @ X45 @ X47) | ($false = rel_s4 @ sK13 @ X45) | ($false = p @ (sK17 @ X47)) <- {6} [duplicate literal removal 9590] 126.57/124.69 9600. ($false != big_q @ X46 @ (sK10 @ (big_q @ X46) @ (rel_s4 @ X45))) | rel_s4 @ X45 = big_q @ X46 | ($false = exists_in_world @ X46 @ X45) | ($false = rel_s4 @ X45 @ X47) | ($false = rel_s4 @ sK13 @ X45) | ($false = p @ (sK17 @ X47)) <- {6} [trivial inequality removal 9599] 126.57/124.69 9601. ($false = p @ X2) | ($false = p @ (sK10 @ (big_q @ X0) @ (rel_s4 @ X1))) | ($false != big_q @ X0 @ (sK10 @ (big_q @ X0) @ (rel_s4 @ X1))) | ($false = exists_in_world @ X0 @ sK18) | ($false = rel_s4 @ sK13 @ sK18) | rel_s4 @ X1 = big_q @ X0 | ($false = p @ (sK17 @ X2)) <- {6, 638} [forward demodulation 9586,8154] 126.57/124.69 9605. 754 <=> ! [X51,X50 : mu,X52] : (($false != big_q @ X50 @ (sK10 @ (big_q @ X50) @ (rel_s4 @ X51))) | ($false = p @ (sK17 @ X52)) | rel_s4 @ X51 = big_q @ X50 | ($false = rel_s4 @ sK13 @ (sK10 @ (big_q @ X50) @ (rel_s4 @ X51))) | ($false = rel_s4 @ (sK10 @ (big_q @ X50) @ (rel_s4 @ X51)) @ X52) | ($false = exists_in_world @ X50 @ (sK10 @ (big_q @ X50) @ (rel_s4 @ X51)))) [avatar definition] 126.57/124.69 9606. ($false = exists_in_world @ X50 @ (sK10 @ (big_q @ X50) @ (rel_s4 @ X51))) | ($false = p @ (sK17 @ X52)) | rel_s4 @ X51 = big_q @ X50 | ($false = rel_s4 @ sK13 @ (sK10 @ (big_q @ X50) @ (rel_s4 @ X51))) | ($false = rel_s4 @ (sK10 @ (big_q @ X50) @ (rel_s4 @ X51)) @ X52) | ($false != big_q @ X50 @ (sK10 @ (big_q @ X50) @ (rel_s4 @ X51))) <- {754} [avatar component clause 9605] 126.57/124.69 9607. 754 | 0 | ~6 [avatar split clause 9588,368,315,9605] 126.57/124.69 9609. 756 <=> ! [X63,X65,X62 : mu,X64,X61] : (($false != big_q @ X62 @ (sK10 @ (big_q @ X62) @ (rel_s4 @ X63))) | ($false = rel_s4 @ X65 @ (sK10 @ (big_q @ X62) @ (rel_s4 @ X63))) | ($false = rel_s4 @ X61 @ X65) | ($false = p @ (sK17 @ X64)) | rel_s4 @ X63 = big_q @ X62 | ($false = rel_s4 @ sK13 @ X61) | ($false = rel_s4 @ X61 @ X64) | ($false = exists_in_world @ X62 @ X61)) [avatar definition] 126.57/124.69 9610. ($false = rel_s4 @ X65 @ (sK10 @ (big_q @ X62) @ (rel_s4 @ X63))) | ($false != big_q @ X62 @ (sK10 @ (big_q @ X62) @ (rel_s4 @ X63))) | ($false = rel_s4 @ X61 @ X65) | ($false = p @ (sK17 @ X64)) | rel_s4 @ X63 = big_q @ X62 | ($false = rel_s4 @ sK13 @ X61) | ($false = rel_s4 @ X61 @ X64) | ($false = exists_in_world @ X62 @ X61) <- {756} [avatar component clause 9609] 126.57/124.69 9611. 756 | 0 | ~6 [avatar split clause 9589,368,315,9609] 126.57/124.69 9612. 754 | 0 | ~6 [avatar split clause 9593,368,315,9605] 126.57/124.69 9613. 756 | 0 | ~6 [avatar split clause 9594,368,315,9609] 126.57/124.69 9615. ($false = rel_s4 @ sK19 @ sK13) <- {138, 199} [unit resulting resolution 3743,2316] 126.57/124.69 9616. 634 | ~138 | 199 [avatar split clause 9615,3742,2315,8135] 126.57/124.69 9636. 716 | 202 | 218 | ~6 | ~126 [avatar split clause 9262,2282,368,3800,3754,9165] 126.57/124.69 9637. 716 | 202 | 218 | ~6 | ~126 [avatar split clause 3860,2282,368,3800,3754,9165] 126.57/124.69 9638. 716 | 202 | 0 | ~6 | ~126 [avatar split clause 9261,2282,368,315,3754,9165] 126.57/124.69 9639. 202 | 716 | 0 | ~6 | ~126 [avatar split clause 9223,2282,368,315,9165,3754] 126.57/124.69 9645. (p @ (sK10 @ (rel_s4 @ sK13) @ p) != rel_s4 @ sK13 @ (sK10 @ (rel_s4 @ sK13) @ p)) <- {677} [unit resulting resolution 8828,171] 126.57/124.69 9646. (p @ (sK10 @ p @ (rel_s4 @ sK13)) != rel_s4 @ sK13 @ (sK10 @ p @ (rel_s4 @ sK13))) <- {677} [unit resulting resolution 8828,171] 126.57/124.69 9651. 759 <=> (p @ (sK10 @ p @ (rel_s4 @ sK13)) != rel_s4 @ sK13 @ (sK10 @ p @ (rel_s4 @ sK13))) [avatar definition] 126.57/124.69 9653. ~759 | 677 [avatar split clause 9646,8827,9651] 126.57/124.69 9658. 761 <=> (p @ (sK10 @ (rel_s4 @ sK13) @ p) != rel_s4 @ sK13 @ (sK10 @ (rel_s4 @ sK13) @ p)) [avatar definition] 126.57/124.69 9660. ~761 | 677 [avatar split clause 9645,8827,9658] 126.57/124.69 9661. ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ sK19 @ (sK17 @ sK19))) @ $false) | ($false = exists_in_world @ X0 @ X1) | ($false = rel_s4 @ X1 @ sK19) | ($false = rel_s4 @ sK13 @ X1) | ($false = rel_s4 @ X1 @ X2) | ($true = big_q @ X0 @ X2) <- {6, 210} [superposition 959,3779] 126.57/124.69 9666. ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ sK18 @ (sK17 @ sK18))) @ $true) | ($false = exists_in_world @ X0 @ X1) | ($false = rel_s4 @ X1 @ sK18) | ($false = rel_s4 @ sK13 @ X1) | ($false = rel_s4 @ X1 @ X2) | ($true = big_q @ X0 @ X2) <- {6, 706} [superposition 959,9116] 126.57/124.69 9667. ($false = vOR_37 @ (vNOT_33 @ $true) @ $true) | ($false = exists_in_world @ X3 @ X4) | ($false = rel_s4 @ X4 @ sK18) | ($false = rel_s4 @ sK13 @ X4) | ($false = rel_s4 @ X4 @ X5) | ($true = big_q @ X3 @ X5) | ($false = rel_s4 @ sK18 @ X6) | ($false = rel_s4 @ X6 @ (sK17 @ sK18)) <- {6, 706} [superposition 1388,9116] 126.57/124.69 9668. ($false = vOR_37 @ (vNOT_33 @ $true) @ $true) | ($false = exists_in_world @ X7 @ X8) | ($false = rel_s4 @ X8 @ sK18) | ($false = rel_s4 @ sK13 @ X8) | ($false = rel_s4 @ X8 @ X9) | ($true = big_q @ X7 @ X9) | ($false = exists_in_world @ X10 @ X11) | ($false = rel_s4 @ X11 @ sK18) | ($false = rel_s4 @ sK13 @ X11) | ($false = rel_s4 @ X11 @ X12) | ($true = big_q @ X10 @ X12) <- {6, 706} [superposition 2393,9116] 126.57/124.69 9669. ($false = $true) | ($false = exists_in_world @ X7 @ X8) | ($false = rel_s4 @ X8 @ sK18) | ($false = rel_s4 @ sK13 @ X8) | ($false = rel_s4 @ X8 @ X9) | ($true = big_q @ X7 @ X9) | ($false = exists_in_world @ X10 @ X11) | ($false = rel_s4 @ X11 @ sK18) | ($false = rel_s4 @ sK13 @ X11) | ($false = rel_s4 @ X11 @ X12) | ($true = big_q @ X10 @ X12) <- {6, 706} [HOL short circuit evaluation 9668] 126.57/124.69 9670. ($false = $true) | ($false = exists_in_world @ X3 @ X4) | ($false = rel_s4 @ X4 @ sK18) | ($false = rel_s4 @ sK13 @ X4) | ($false = rel_s4 @ X4 @ X5) | ($true = big_q @ X3 @ X5) | ($false = rel_s4 @ sK18 @ X6) | ($false = rel_s4 @ X6 @ (sK17 @ sK18)) <- {6, 706} [HOL short circuit evaluation 9667] 126.57/124.69 9671. ($false = $true) | ($false = exists_in_world @ X0 @ X1) | ($false = rel_s4 @ X1 @ sK18) | ($false = rel_s4 @ sK13 @ X1) | ($false = rel_s4 @ X1 @ X2) | ($true = big_q @ X0 @ X2) <- {6, 706} [HOL short circuit evaluation 9666] 126.57/124.69 9672. 238 | 0 | ~6 | ~706 [avatar split clause 9671,9115,368,315,4045] 126.57/124.69 9673. ($false = p @ X6) | ($false = $true) | ($false = exists_in_world @ X3 @ X4) | ($false = rel_s4 @ X4 @ sK18) | ($false = rel_s4 @ sK13 @ X4) | ($false = rel_s4 @ X4 @ X5) | ($true = big_q @ X3 @ X5) | ($false = rel_s4 @ X6 @ (sK17 @ sK18)) <- {6, 638, 706} [forward demodulation 9670,8154] 126.57/124.69 9675. 762 <=> ! [X6] : (($false = p @ X6) | ($false = rel_s4 @ X6 @ (sK17 @ sK18))) [avatar definition] 126.57/124.69 9677. 238 | 0 | 762 | ~6 | ~638 | ~706 [avatar split clause 9673,9115,8153,368,9675,315,4045] 126.57/124.69 9678. 238 | 238 | 0 | ~6 | ~706 [avatar split clause 9669,9115,368,315,4045,4045] 126.57/124.69 9679. ($true != $true) | ($false = p @ (sK17 @ sK13)) <- {717} [fool paramodulation 9163] 126.57/124.69 9680. ($false = rel_s4 @ sK13 @ (sK17 @ sK13)) <- {126, 717} [unit resulting resolution 9163,2283] 126.57/124.69 9681. ($false = rel_s4 @ sK18 @ (sK17 @ sK13)) <- {132, 717} [unit resulting resolution 9163,2298] 126.57/124.69 9682. ($false = rel_s4 @ sK23 @ (sK17 @ sK13)) <- {335, 344, 717} [unit resulting resolution 4444,9163,4529] 126.57/124.69 9683. ($false = rel_s4 @ sK19 @ (sK17 @ sK13)) <- {344, 371, 717} [unit resulting resolution 4684,9163,4529] 126.57/124.69 9685. ($false = p @ (sK17 @ sK13)) <- {717} [trivial inequality removal 9679] 126.57/124.69 9690. 764 <=> ($false = rel_s4 @ sK19 @ (sK17 @ sK13)) [avatar definition] 126.57/124.69 9691. ($false = rel_s4 @ sK19 @ (sK17 @ sK13)) <- {764} [avatar component clause 9690] 126.57/124.69 9692. 764 | ~344 | 371 | 717 [avatar split clause 9683,9162,4683,4528,9690] 126.57/124.69 9697. 766 <=> ($false = rel_s4 @ sK23 @ (sK17 @ sK13)) [avatar definition] 126.57/124.69 9698. ($false = rel_s4 @ sK23 @ (sK17 @ sK13)) <- {766} [avatar component clause 9697] 126.57/124.69 9699. 766 | 335 | ~344 | 717 [avatar split clause 9682,9162,4528,4443,9697] 126.57/124.69 9700. ($false = p @ (sK17 @ sK13)) <- {132, 638, 717} [forward demodulation 9681,8154] 126.57/124.69 9705. 768 <=> ($false = rel_s4 @ sK13 @ (sK17 @ sK13)) [avatar definition] 126.57/124.69 9706. ($false = rel_s4 @ sK13 @ (sK17 @ sK13)) <- {768} [avatar component clause 9705] 126.57/124.69 9707. 768 | ~126 | 717 [avatar split clause 9680,9162,2282,9705] 126.57/124.69 9708. ($false = vOR_37 @ (vNOT_33 @ $false) @ $true) <- {218, 716} [forward demodulation 3801,9166] 126.57/124.69 9709. ($false = $true) <- {218, 716} [HOL short circuit evaluation 9708] 126.57/124.69 9710. 0 | ~218 | ~716 [avatar split clause 9709,9165,3800,315] 126.57/124.69 9733. ($false = p @ (sK17 @ sK13)) <- {717} [trivial inequality removal 9679] 126.57/124.69 9734. 198 | ~132 | ~638 | 717 [avatar split clause 9700,9162,8153,2297,3745] 126.57/124.69 9735. 198 | 717 [avatar split clause 9685,9162,3745] 126.57/124.69 9736. ($false = p @ (sK17 @ sK13)) <- {132, 638, 717} [forward demodulation 9681,8154] 126.57/124.69 9737. 198 | ~132 | ~638 | 717 [avatar split clause 9736,9162,8153,2297,3745] 126.57/124.69 9738. 198 | 717 [avatar split clause 9733,9162,3745] 126.57/124.69 9744. ($false = rel_s4 @ sK18 @ (sK17 @ sK13)) <- {132, 717} [unit resulting resolution 9163,2298] 126.57/124.69 9752. ($true = rel_s4 @ sK18 @ sK22) <- {371, 727} [unit resulting resolution 4684,9310,253] 126.57/124.69 9753. ($true = p @ sK22) <- {344, 371, 727} [unit resulting resolution 4684,9310,4529] 126.57/124.69 9762. 770 <=> ($true = p @ sK22) [avatar definition] 126.57/124.69 9763. ($true = p @ sK22) <- {770} [avatar component clause 9762] 126.57/124.69 9764. 770 | ~344 | 371 | 727 [avatar split clause 9753,9309,4683,4528,9762] 126.57/124.69 9765. ($true = p @ sK22) <- {371, 638, 727} [forward demodulation 9752,8154] 126.57/124.69 9766. 770 | 371 | ~638 | 727 [avatar split clause 9765,9309,8153,4683,9762] 126.57/124.69 9769. ($false = vNOT_33 @ $false) <- {708} [HOL binary constant elimination 9122] 126.57/124.69 9770. ($false = p @ (sK17 @ sK18)) <- {708} [HOL binary constant elimination 9122] 126.57/124.69 9771. ($false = vOR_37 @ (vNOT_33 @ $false) @ $true) <- {706, 708} [superposition 9122,9116] 126.57/124.69 9772. ($false = $true) <- {706, 708} [HOL short circuit evaluation 9771] 126.57/124.69 9773. ($false = $true) <- {708} [HOL not constant elimination 9769] 126.57/124.69 9774. 0 | ~708 [avatar split clause 9773,9121,315] 126.57/124.69 9775. 208 | ~708 [avatar split clause 9770,9121,3771] 126.57/124.69 9776. 0 | ~706 | ~708 [avatar split clause 9772,9121,9115,315] 126.57/124.69 9797. (p @ (sK10 @ (rel_s4 @ sK19) @ p) != rel_s4 @ sK19 @ (sK10 @ (rel_s4 @ sK19) @ p)) <- {685} [unit resulting resolution 8857,171] 126.57/124.69 9798. (p @ (sK10 @ p @ (rel_s4 @ sK19)) != rel_s4 @ sK19 @ (sK10 @ p @ (rel_s4 @ sK19))) <- {685} [unit resulting resolution 8857,171] 126.57/124.69 9803. 773 <=> (p @ (sK10 @ p @ (rel_s4 @ sK19)) != rel_s4 @ sK19 @ (sK10 @ p @ (rel_s4 @ sK19))) [avatar definition] 126.57/124.69 9805. ~773 | 685 [avatar split clause 9798,8856,9803] 126.57/124.69 9810. 775 <=> (p @ (sK10 @ (rel_s4 @ sK19) @ p) != rel_s4 @ sK19 @ (sK10 @ (rel_s4 @ sK19) @ p)) [avatar definition] 126.57/124.69 9812. ~775 | 685 [avatar split clause 9797,8856,9810] 126.57/124.69 9817. ($false = rel_s4 @ sK19 @ sK23) <- {138, 245} [unit resulting resolution 4060,2316] 126.57/124.69 9819. 777 <=> ($false != rel_s4 @ sK19 @ sK23) [avatar definition] 126.57/124.69 9820. ($false != rel_s4 @ sK19 @ sK23) <- {777} [avatar component clause 9819] 126.57/124.69 9822. 776 <=> ($false = rel_s4 @ sK19 @ sK23) [avatar definition] 126.57/124.69 9823. ($false = rel_s4 @ sK19 @ sK23) <- {776} [avatar component clause 9822] 126.57/124.69 9824. 776 | ~138 | 245 [avatar split clause 9817,4059,2315,9822] 126.57/124.69 9826. ($false = rel_s4 @ sK19 @ sK31) <- {138, 319} [unit resulting resolution 4360,2316] 126.57/124.69 9828. 779 <=> ($false != rel_s4 @ sK19 @ sK31) [avatar definition] 126.57/124.69 9829. ($false != rel_s4 @ sK19 @ sK31) <- {779} [avatar component clause 9828] 126.57/124.69 9831. 778 <=> ($false = rel_s4 @ sK19 @ sK31) [avatar definition] 126.57/124.69 9832. ($false = rel_s4 @ sK19 @ sK31) <- {778} [avatar component clause 9831] 126.57/124.69 9833. 778 | ~138 | 319 [avatar split clause 9826,4359,2315,9831] 126.57/124.69 9835. ($false = rel_s4 @ sK13 @ (sK17 @ sK18)) <- {126, 707} [unit resulting resolution 9113,2283] 126.57/124.69 9836. ($false = rel_s4 @ sK18 @ (sK17 @ sK18)) <- {132, 707} [unit resulting resolution 9113,2298] 126.57/124.69 9837. ($false = rel_s4 @ sK19 @ (sK17 @ sK18)) <- {344, 371, 707} [unit resulting resolution 4684,9113,4529] 126.57/124.69 9838. ($false = rel_s4 @ sK23 @ (sK17 @ sK18)) <- {335, 344, 707} [unit resulting resolution 4444,9113,4529] 126.57/124.69 9845. 780 <=> ($false = rel_s4 @ sK23 @ (sK17 @ sK18)) [avatar definition] 126.57/124.69 9846. ($false = rel_s4 @ sK23 @ (sK17 @ sK18)) <- {780} [avatar component clause 9845] 126.57/124.69 9847. 780 | 335 | ~344 | 707 [avatar split clause 9838,9112,4528,4443,9845] 126.57/124.69 9852. 782 <=> ($false = rel_s4 @ sK19 @ (sK17 @ sK18)) [avatar definition] 126.57/124.69 9854. 782 | ~344 | 371 | 707 (HD) [avatar split clause 9837,9112,4683,4528,9852] 126.57/124.69 9860. 784 <=> ($false = rel_s4 @ sK13 @ (sK17 @ sK18)) [avatar definition] 126.57/124.69 9861. ($false = rel_s4 @ sK13 @ (sK17 @ sK18)) <- {784} [avatar component clause 9860] 126.57/124.69 9862. 784 | ~126 | 707 [avatar split clause 9835,9112,2282,9860] 126.57/124.69 9869. ($false = $true) | ($true = p @ X4) | ($false = rel_s4 @ X3 @ X4) | ($false = rel_s4 @ sK13 @ X5) | ($false = rel_s4 @ X5 @ X3) <- {226} [superposition 3886,253] 126.57/124.69 9872. ($false = $true) | ($true = p @ X137) | ($false = rel_s4 @ sK19 @ X137) <- {26, 226} [superposition 3886,799] 126.57/124.69 9874. ($false = $true) | ($false = rel_s4 @ sK13 @ X3) | ($false = rel_s4 @ X3 @ X2) | ($true = p @ X4) | ($false = rel_s4 @ X2 @ X4) <- {226} [superposition 253,3886] 126.57/124.69 9913. ($false = $true) | ($true = p @ X260) | ($false = rel_s4 @ sK19 @ X260) <- {26, 226} [superposition 799,3886] 126.57/124.69 9914. ($false = vOR_37 @ (vNOT_33 @ $false) @ (vPI_177 @ (sCOMB_176 @ (bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ sK19)) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q) @ sK19)))) | ($true = p @ X261) | ($false = rel_s4 @ sK19 @ X261) <- {18, 226} [superposition 752,3886] 126.57/124.69 9925. 786 <=> ! [X3,X5,X4] : (($true = p @ X4) | ($false = rel_s4 @ sK13 @ X5) | ($false = rel_s4 @ X5 @ X3) | ($false = rel_s4 @ X3 @ X4)) [avatar definition] 126.57/124.69 9926. ($false = rel_s4 @ sK13 @ X5) | ($true = p @ X4) | ($false = rel_s4 @ X5 @ X3) | ($false = rel_s4 @ X3 @ X4) <- {786} [avatar component clause 9925] 126.57/124.69 9927. 786 | 0 | ~226 [avatar split clause 9869,3885,315,9925] 126.57/124.69 9928. 786 | 0 | ~226 [avatar split clause 9874,3885,315,9925] 126.57/124.69 9930. ($false = rel_s4 @ sK22 @ (sK17 @ sK13)) <- {205, 254, 727} [unit resulting resolution 3758,9310,4143] 126.57/124.69 9931. ($false = rel_s4 @ sK22 @ (sK17 @ sK18)) <- {241, 254, 727} [unit resulting resolution 4049,9310,4143] 126.57/124.69 9932. ($false = rel_s4 @ sK22 @ sK23) <- {245, 254, 727} [unit resulting resolution 4060,9310,4143] 126.57/124.69 9933. ($false = rel_s4 @ sK22 @ sK31) <- {254, 319, 727} [unit resulting resolution 4360,9310,4143] 126.57/124.69 9936. ($false = $true) | ($false = p @ (sK17 @ X132)) | ($false = rel_s4 @ (sK17 @ sK19) @ X132) | ($false = exists_in_world @ X133 @ X134) | ($false = rel_s4 @ X134 @ sK19) | ($false = rel_s4 @ sK13 @ X134) | ($false = rel_s4 @ X134 @ X135) | ($true = big_q @ X133 @ X135) <- {6, 254} [superposition 4143,1389] 126.57/124.69 9975. ($false = $true) | ($false = exists_in_world @ X249 @ X250) | ($false = rel_s4 @ X250 @ sK19) | ($false = rel_s4 @ sK13 @ X250) | ($false = rel_s4 @ X250 @ X251) | ($true = big_q @ X249 @ X251) | ($false = p @ (sK17 @ X252)) | ($false = rel_s4 @ (sK17 @ sK19) @ X252) <- {6, 254} [superposition 1389,4143] 126.57/124.69 9976. ($false = vOR_37 @ (vNOT_33 @ $false) @ (p @ (sK17 @ sK19))) | ($false = exists_in_world @ X253 @ X254) | ($false = rel_s4 @ X254 @ sK19) | ($false = rel_s4 @ sK13 @ X254) | ($false = rel_s4 @ X254 @ X255) | ($true = big_q @ X253 @ X255) | ($false = p @ (sK17 @ X256)) | ($false = rel_s4 @ (sK17 @ sK19) @ X256) <- {6, 254} [superposition 959,4143] 126.57/124.69 9995. 789 <=> ($false != rel_s4 @ sK22 @ sK31) [avatar definition] 126.57/124.69 9996. ($false != rel_s4 @ sK22 @ sK31) <- {789} [avatar component clause 9995] 126.57/124.69 9998. 788 <=> ($false = rel_s4 @ sK22 @ sK31) [avatar definition] 126.57/124.69 9999. ($false = rel_s4 @ sK22 @ sK31) <- {788} [avatar component clause 9998] 126.57/124.69 10000. 788 | ~254 | 319 | 727 [avatar split clause 9933,9309,4359,4142,9998] 126.57/124.69 10005. 790 <=> ($false = rel_s4 @ sK22 @ sK23) [avatar definition] 126.57/124.69 10006. ($false = rel_s4 @ sK22 @ sK23) <- {790} [avatar component clause 10005] 126.57/124.69 10007. 790 | 245 | ~254 | 727 [avatar split clause 9932,9309,4142,4059,10005] 126.57/124.69 10012. 792 <=> ($false = rel_s4 @ sK22 @ (sK17 @ sK18)) [avatar definition] 126.57/124.69 10013. ($false = rel_s4 @ sK22 @ (sK17 @ sK18)) <- {792} [avatar component clause 10012] 126.57/124.69 10014. 792 | 241 | ~254 | 727 [avatar split clause 9931,9309,4142,4048,10012] 126.57/124.69 10016. 795 <=> ($false != rel_s4 @ sK22 @ (sK17 @ sK13)) [avatar definition] 126.57/124.69 10017. ($false != rel_s4 @ sK22 @ (sK17 @ sK13)) <- {795} [avatar component clause 10016] 126.57/124.69 10019. 794 <=> ($false = rel_s4 @ sK22 @ (sK17 @ sK13)) [avatar definition] 126.57/124.69 10020. ($false = rel_s4 @ sK22 @ (sK17 @ sK13)) <- {794} [avatar component clause 10019] 126.57/124.69 10021. 794 | 205 | ~254 | 727 [avatar split clause 9930,9309,4142,3757,10019] 126.57/124.69 10023. ($true != $true) | p = rel_s4 @ sK13 | ($false != p @ (sK10 @ (rel_s4 @ sK13) @ p)) | p = rel_s4 @ sK13 | ($false != p @ (sK10 @ (rel_s4 @ sK13) @ p)) <- {126} [superposition 409,3851] 126.57/124.69 10024. ($true != $true) | p = rel_s4 @ sK13 | ($false != p @ (sK10 @ (rel_s4 @ sK13) @ p)) <- {126} [duplicate literal removal 10023] 126.57/124.69 10025. p = rel_s4 @ sK13 | ($false != p @ (sK10 @ (rel_s4 @ sK13) @ p)) <- {126} [trivial inequality removal 10024] 126.57/124.69 10030. 797 <=> ($false != p @ (sK10 @ (rel_s4 @ sK13) @ p)) [avatar definition] 126.57/124.69 10032. ~797 | 676 | ~126 [avatar split clause 10025,2282,8830,10030] 126.57/124.69 10036. ($true = p @ (sK10 @ (rel_s4 @ sK13) @ p)) | ($false = rel_s4 @ sK13 @ sK18) | rel_s4 @ sK13 = rel_s4 @ sK18 <- {126, 638} [superposition 3872,8154] 126.57/124.69 10037. ($false = $true) | ($true = p @ (sK10 @ (rel_s4 @ sK13) @ p)) | rel_s4 @ sK13 = rel_s4 @ sK18 <- {34, 126, 638} [forward demodulation 10036,839] 126.57/124.69 10038. p = rel_s4 @ sK13 | ($false = $true) | ($true = p @ (sK10 @ (rel_s4 @ sK13) @ p)) <- {34, 126, 638} [forward demodulation 10037,8154] 126.57/124.69 10043. 798 <=> ($true = p @ (sK10 @ (rel_s4 @ sK13) @ p)) [avatar definition] 126.57/124.69 10045. 798 | 0 | 676 | ~34 | ~126 | ~638 [avatar split clause 10038,8153,2282,838,8830,315,10043] 126.57/124.69 10047. ($true = p @ (sK10 @ p @ (rel_s4 @ sK13))) | ($false = rel_s4 @ sK13 @ sK18) | rel_s4 @ sK13 = rel_s4 @ sK18 <- {126, 638} [superposition 3874,8154] 126.57/124.69 10048. ($false = $true) | ($true = p @ (sK10 @ p @ (rel_s4 @ sK13))) | rel_s4 @ sK13 = rel_s4 @ sK18 <- {34, 126, 638} [forward demodulation 10047,839] 126.57/124.69 10049. p = rel_s4 @ sK13 | ($false = $true) | ($true = p @ (sK10 @ p @ (rel_s4 @ sK13))) <- {34, 126, 638} [forward demodulation 10048,8154] 126.57/124.69 10054. 800 <=> ($true = p @ (sK10 @ p @ (rel_s4 @ sK13))) [avatar definition] 126.57/124.69 10056. 800 | 0 | 676 | ~34 | ~126 | ~638 [avatar split clause 10049,8153,2282,838,8830,315,10054] 126.57/124.69 10059. ($true != $true) | p = rel_s4 @ sK13 | ($false != p @ (sK10 @ p @ (rel_s4 @ sK13))) | ($false != p @ (sK10 @ p @ (rel_s4 @ sK13))) | p = rel_s4 @ sK13 <- {126} [superposition 577,3875] 126.57/124.69 10062. ($true != $true) | p = rel_s4 @ sK13 | ($false != p @ (sK10 @ p @ (rel_s4 @ sK13))) <- {126} [duplicate literal removal 10059] 126.57/124.69 10063. p = rel_s4 @ sK13 | ($false != p @ (sK10 @ p @ (rel_s4 @ sK13))) <- {126} [trivial inequality removal 10062] 126.57/124.69 10070. 803 <=> ($false != p @ (sK10 @ p @ (rel_s4 @ sK13))) [avatar definition] 126.57/124.69 10071. ($false != p @ (sK10 @ p @ (rel_s4 @ sK13))) <- {803} [avatar component clause 10070] 126.57/124.69 10072. ~803 | 676 | ~126 [avatar split clause 10063,2282,8830,10070] 126.57/124.69 10090. ($false = $true) <- {426} [superposition 5444,258] 126.57/124.69 10091. ($false = $true) | ($false = rel_s4 @ sK23 @ X0) | ($false = rel_s4 @ X0 @ sK23) <- {426} [superposition 5444,253] 126.57/124.69 10092. ($false = $true) <- {426} [superposition 258,5444] 126.57/124.69 10093. ($false = $true) | ($false = rel_s4 @ sK23 @ X0) | ($false = rel_s4 @ X0 @ sK23) <- {426} [superposition 253,5444] 126.57/124.69 10094. 0 | ~426 [avatar split clause 10090,5443,315] 126.57/124.69 10096. 804 <=> ! [X0] : (($false = rel_s4 @ sK23 @ X0) | ($false = rel_s4 @ X0 @ sK23)) [avatar definition] 126.57/124.69 10098. 804 | 0 | ~426 [avatar split clause 10091,5443,315,10096] 126.57/124.69 10099. 0 | ~426 [avatar split clause 10092,5443,315] 126.57/124.69 10100. 804 | 0 | ~426 [avatar split clause 10093,5443,315,10096] 126.57/124.69 10114. ($false = $true) | ($false = exists_in_world @ X6 @ X8) | ($false = rel_s4 @ X8 @ (sK10 @ (big_q @ X6) @ X7)) | ($false = rel_s4 @ sK13 @ X8) | ($false = rel_s4 @ X8 @ sK13) | big_q @ X6 = X7 | ($true != X7 @ (sK10 @ (big_q @ X6) @ X7)) <- {202} [superposition 3755,342] 126.57/124.69 10115. ($false = $true) | ($false = exists_in_world @ sK20 @ X9) | ($false = rel_s4 @ X9 @ sK22) | ($false = rel_s4 @ sK13 @ X9) | ($false = rel_s4 @ X9 @ sK13) <- {76, 202} [superposition 3755,2064] 126.57/124.69 10116. ($false = $true) | ($false = exists_in_world @ sK20 @ X10) | ($false = rel_s4 @ X10 @ sK28) | ($false = rel_s4 @ sK13 @ X10) | ($false = rel_s4 @ X10 @ sK13) <- {202, 272} [superposition 3755,4203] 126.57/124.69 10117. ($false = $true) | ($false = exists_in_world @ sK24 @ X11) | ($false = rel_s4 @ X11 @ sK30) | ($false = rel_s4 @ sK13 @ X11) | ($false = rel_s4 @ X11 @ sK13) <- {202, 302} [superposition 3755,4308] 126.57/124.69 10122. ($false = $true) | big_q @ X18 = X19 | ($true != X19 @ (sK10 @ (big_q @ X18) @ X19)) | ($false = exists_in_world @ X18 @ X20) | ($false = rel_s4 @ X20 @ (sK10 @ (big_q @ X18) @ X19)) | ($false = rel_s4 @ sK13 @ X20) | ($false = rel_s4 @ X20 @ sK13) <- {202} [superposition 342,3755] 126.57/124.69 10126. ($false = vOR_37 @ (vNOT_33 @ $true) @ $true) | ($false = exists_in_world @ sK20 @ X30) | ($false = rel_s4 @ X30 @ sK22) | ($false = rel_s4 @ sK13 @ X30) | ($false = rel_s4 @ X30 @ sK13) <- {80, 202} [superposition 2074,3755] 126.57/124.69 10127. ($false = $true) | ($false = exists_in_world @ sK20 @ X31) | ($false = rel_s4 @ X31 @ sK22) | ($false = rel_s4 @ sK13 @ X31) | ($false = rel_s4 @ X31 @ sK13) <- {76, 202} [superposition 2064,3755] 126.57/124.69 10128. ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ sK19 @ sK22)) @ $true) | ($false = exists_in_world @ sK20 @ X32) | ($false = rel_s4 @ X32 @ sK22) | ($false = rel_s4 @ sK13 @ X32) | ($false = rel_s4 @ X32 @ sK13) <- {52, 202} [superposition 1304,3755] 126.57/124.69 10129. ($false = vOR_37 @ (vNOT_33 @ $true) @ $true) | ($false = exists_in_world @ sK20 @ X33) | ($false = rel_s4 @ X33 @ sK28) | ($false = rel_s4 @ sK13 @ X33) | ($false = rel_s4 @ X33 @ sK13) <- {202, 280} [superposition 4226,3755] 126.57/124.69 10130. ($false = $true) | ($false = exists_in_world @ sK20 @ X34) | ($false = rel_s4 @ X34 @ sK28) | ($false = rel_s4 @ sK13 @ X34) | ($false = rel_s4 @ X34 @ sK13) <- {202, 272} [superposition 4203,3755] 126.57/124.69 10131. ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ sK19 @ sK28)) @ $true) | ($false = exists_in_world @ sK20 @ X35) | ($false = rel_s4 @ X35 @ sK28) | ($false = rel_s4 @ sK13 @ X35) | ($false = rel_s4 @ X35 @ sK13) <- {102, 202} [superposition 2159,3755] 126.57/124.69 10132. ($false = vOR_37 @ (vNOT_33 @ $true) @ $true) | ($false = exists_in_world @ sK24 @ X36) | ($false = rel_s4 @ X36 @ sK30) | ($false = rel_s4 @ sK13 @ X36) | ($false = rel_s4 @ X36 @ sK13) <- {202, 310} [superposition 4331,3755] 126.57/124.69 10133. ($false = $true) | ($false = exists_in_world @ sK24 @ X37) | ($false = rel_s4 @ X37 @ sK30) | ($false = rel_s4 @ sK13 @ X37) | ($false = rel_s4 @ X37 @ sK13) <- {202, 302} [superposition 4308,3755] 126.57/124.69 10134. ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ sK19 @ sK30)) @ $true) | ($false = exists_in_world @ sK24 @ X38) | ($false = rel_s4 @ X38 @ sK30) | ($false = rel_s4 @ sK13 @ X38) | ($false = rel_s4 @ X38 @ sK13) <- {108, 202} [superposition 2193,3755] 126.57/124.69 10135. ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ sK19 @ sK33)) @ $true) | ($false = exists_in_world @ sK24 @ X39) | ($false = rel_s4 @ X39 @ sK33) | ($false = rel_s4 @ sK13 @ X39) | ($false = rel_s4 @ X39 @ sK13) <- {202, 328} [superposition 4396,3755] 126.57/124.69 10136. ($false = $true) | ($false = exists_in_world @ sK24 @ X39) | ($false = rel_s4 @ X39 @ sK33) | ($false = rel_s4 @ sK13 @ X39) | ($false = rel_s4 @ X39 @ sK13) <- {202, 328} [HOL short circuit evaluation 10135] 126.57/124.69 10137. ($false = $true) | ($false = exists_in_world @ sK24 @ X38) | ($false = rel_s4 @ X38 @ sK30) | ($false = rel_s4 @ sK13 @ X38) | ($false = rel_s4 @ X38 @ sK13) <- {108, 202} [HOL short circuit evaluation 10134] 126.57/124.69 10138. ($false = $true) | ($false = exists_in_world @ sK24 @ X36) | ($false = rel_s4 @ X36 @ sK30) | ($false = rel_s4 @ sK13 @ X36) | ($false = rel_s4 @ X36 @ sK13) <- {202, 310} [HOL short circuit evaluation 10132] 126.57/124.69 10139. ($false = $true) | ($false = exists_in_world @ sK20 @ X35) | ($false = rel_s4 @ X35 @ sK28) | ($false = rel_s4 @ sK13 @ X35) | ($false = rel_s4 @ X35 @ sK13) <- {102, 202} [HOL short circuit evaluation 10131] 126.57/124.69 10140. ($false = $true) | ($false = exists_in_world @ sK20 @ X33) | ($false = rel_s4 @ X33 @ sK28) | ($false = rel_s4 @ sK13 @ X33) | ($false = rel_s4 @ X33 @ sK13) <- {202, 280} [HOL short circuit evaluation 10129] 126.57/124.69 10141. ($false = $true) | ($false = exists_in_world @ sK20 @ X32) | ($false = rel_s4 @ X32 @ sK22) | ($false = rel_s4 @ sK13 @ X32) | ($false = rel_s4 @ X32 @ sK13) <- {52, 202} [HOL short circuit evaluation 10128] 126.57/124.69 10142. ($false = $true) | ($false = exists_in_world @ sK20 @ X30) | ($false = rel_s4 @ X30 @ sK22) | ($false = rel_s4 @ sK13 @ X30) | ($false = rel_s4 @ X30 @ sK13) <- {80, 202} [HOL short circuit evaluation 10126] 126.57/124.69 10147. 806 <=> ! [X7 : ($i > $o),X8,X6 : mu] : (($false = exists_in_world @ X6 @ X8) | ($true != X7 @ (sK10 @ (big_q @ X6) @ X7)) | big_q @ X6 = X7 | ($false = rel_s4 @ X8 @ sK13) | ($false = rel_s4 @ sK13 @ X8) | ($false = rel_s4 @ X8 @ (sK10 @ (big_q @ X6) @ X7))) [avatar definition] 126.57/124.69 10149. 806 | 0 | ~202 [avatar split clause 10114,3754,315,10147] 126.57/124.69 10151. 808 <=> ! [X9] : (($false = exists_in_world @ sK20 @ X9) | ($false = rel_s4 @ X9 @ sK13) | ($false = rel_s4 @ sK13 @ X9) | ($false = rel_s4 @ X9 @ sK22)) [avatar definition] 126.57/124.69 10153. 808 | 0 | ~76 | ~202 [avatar split clause 10115,3754,2063,315,10151] 126.57/124.69 10155. 810 <=> ! [X10] : (($false = exists_in_world @ sK20 @ X10) | ($false = rel_s4 @ X10 @ sK13) | ($false = rel_s4 @ sK13 @ X10) | ($false = rel_s4 @ X10 @ sK28)) [avatar definition] 126.57/124.69 10156. ($false = exists_in_world @ sK20 @ X10) | ($false = rel_s4 @ X10 @ sK13) | ($false = rel_s4 @ sK13 @ X10) | ($false = rel_s4 @ X10 @ sK28) <- {810} [avatar component clause 10155] 126.57/124.69 10157. 810 | 0 | ~202 | ~272 [avatar split clause 10116,4202,3754,315,10155] 126.57/124.69 10159. 812 <=> ! [X11] : (($false = exists_in_world @ sK24 @ X11) | ($false = rel_s4 @ X11 @ sK13) | ($false = rel_s4 @ sK13 @ X11) | ($false = rel_s4 @ X11 @ sK30)) [avatar definition] 126.57/124.69 10160. ($false = exists_in_world @ sK24 @ X11) | ($false = rel_s4 @ X11 @ sK13) | ($false = rel_s4 @ sK13 @ X11) | ($false = rel_s4 @ X11 @ sK30) <- {812} [avatar component clause 10159] 126.57/124.69 10161. 812 | 0 | ~202 | ~302 [avatar split clause 10117,4307,3754,315,10159] 126.57/124.69 10162. 806 | 0 | ~202 [avatar split clause 10122,3754,315,10147] 126.57/124.69 10163. 808 | 0 | ~80 | ~202 [avatar split clause 10142,3754,2073,315,10151] 126.57/124.69 10164. 808 | 0 | ~76 | ~202 [avatar split clause 10127,3754,2063,315,10151] 126.57/124.69 10165. 808 | 0 | ~52 | ~202 [avatar split clause 10141,3754,1303,315,10151] 126.57/124.69 10166. 810 | 0 | ~202 | ~280 [avatar split clause 10140,4225,3754,315,10155] 126.57/124.69 10167. 810 | 0 | ~202 | ~272 [avatar split clause 10130,4202,3754,315,10155] 126.57/124.69 10168. 810 | 0 | ~102 | ~202 [avatar split clause 10139,3754,2158,315,10155] 126.57/124.69 10169. 812 | 0 | ~202 | ~310 [avatar split clause 10138,4330,3754,315,10159] 126.57/124.69 10170. 812 | 0 | ~202 | ~302 [avatar split clause 10133,4307,3754,315,10159] 126.57/124.69 10171. 812 | 0 | ~108 | ~202 [avatar split clause 10137,3754,2192,315,10159] 126.57/124.69 10173. 814 <=> ! [X39] : (($false = exists_in_world @ sK24 @ X39) | ($false = rel_s4 @ X39 @ sK13) | ($false = rel_s4 @ sK13 @ X39) | ($false = rel_s4 @ X39 @ sK33)) [avatar definition] 126.57/124.69 10174. ($false = exists_in_world @ sK24 @ X39) | ($false = rel_s4 @ X39 @ sK13) | ($false = rel_s4 @ sK13 @ X39) | ($false = rel_s4 @ X39 @ sK33) <- {814} [avatar component clause 10173] 126.57/124.69 10175. 814 | 0 | ~202 | ~328 [avatar split clause 10136,4395,3754,315,10173] 126.57/124.69 10177. ($false = $true) | ($false = exists_in_world @ X8 @ X10) | ($false = rel_s4 @ X10 @ (sK10 @ (big_q @ X8) @ X9)) | ($false = rel_s4 @ sK13 @ X10) | ($false = rel_s4 @ X10 @ sK18) | big_q @ X8 = X9 | ($true != X9 @ (sK10 @ (big_q @ X8) @ X9)) <- {238} [superposition 4046,342] 126.57/124.69 10178. ($false = $true) | ($false = exists_in_world @ sK20 @ X11) | ($false = rel_s4 @ X11 @ sK22) | ($false = rel_s4 @ sK13 @ X11) | ($false = rel_s4 @ X11 @ sK18) <- {76, 238} [superposition 4046,2064] 126.57/124.69 10179. ($false = $true) | ($false = exists_in_world @ sK20 @ X12) | ($false = rel_s4 @ X12 @ sK28) | ($false = rel_s4 @ sK13 @ X12) | ($false = rel_s4 @ X12 @ sK18) <- {238, 272} [superposition 4046,4203] 126.57/124.69 10180. ($false = $true) | ($false = exists_in_world @ sK24 @ X13) | ($false = rel_s4 @ X13 @ sK30) | ($false = rel_s4 @ sK13 @ X13) | ($false = rel_s4 @ X13 @ sK18) <- {238, 302} [superposition 4046,4308] 126.57/124.69 10185. ($false = $true) | big_q @ X20 = X21 | ($true != X21 @ (sK10 @ (big_q @ X20) @ X21)) | ($false = exists_in_world @ X20 @ X22) | ($false = rel_s4 @ X22 @ (sK10 @ (big_q @ X20) @ X21)) | ($false = rel_s4 @ sK13 @ X22) | ($false = rel_s4 @ X22 @ sK18) <- {238} [superposition 342,4046] 126.57/124.69 10189. ($false = vOR_37 @ (vNOT_33 @ $true) @ $true) | ($false = exists_in_world @ sK20 @ X32) | ($false = rel_s4 @ X32 @ sK22) | ($false = rel_s4 @ sK13 @ X32) | ($false = rel_s4 @ X32 @ sK18) <- {80, 238} [superposition 2074,4046] 126.57/124.69 10190. ($false = $true) | ($false = exists_in_world @ sK20 @ X33) | ($false = rel_s4 @ X33 @ sK22) | ($false = rel_s4 @ sK13 @ X33) | ($false = rel_s4 @ X33 @ sK18) <- {76, 238} [superposition 2064,4046] 126.57/124.69 10191. ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ sK19 @ sK22)) @ $true) | ($false = exists_in_world @ sK20 @ X34) | ($false = rel_s4 @ X34 @ sK22) | ($false = rel_s4 @ sK13 @ X34) | ($false = rel_s4 @ X34 @ sK18) <- {52, 238} [superposition 1304,4046] 126.57/124.69 10192. ($false = vOR_37 @ (vNOT_33 @ $true) @ $true) | ($false = exists_in_world @ sK20 @ X35) | ($false = rel_s4 @ X35 @ sK28) | ($false = rel_s4 @ sK13 @ X35) | ($false = rel_s4 @ X35 @ sK18) <- {238, 280} [superposition 4226,4046] 126.57/124.69 10193. ($false = $true) | ($false = exists_in_world @ sK20 @ X36) | ($false = rel_s4 @ X36 @ sK28) | ($false = rel_s4 @ sK13 @ X36) | ($false = rel_s4 @ X36 @ sK18) <- {238, 272} [superposition 4203,4046] 126.57/124.69 10194. ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ sK19 @ sK28)) @ $true) | ($false = exists_in_world @ sK20 @ X37) | ($false = rel_s4 @ X37 @ sK28) | ($false = rel_s4 @ sK13 @ X37) | ($false = rel_s4 @ X37 @ sK18) <- {102, 238} [superposition 2159,4046] 126.57/124.69 10195. ($false = vOR_37 @ (vNOT_33 @ $true) @ $true) | ($false = exists_in_world @ sK24 @ X38) | ($false = rel_s4 @ X38 @ sK30) | ($false = rel_s4 @ sK13 @ X38) | ($false = rel_s4 @ X38 @ sK18) <- {238, 310} [superposition 4331,4046] 126.57/124.69 10196. ($false = $true) | ($false = exists_in_world @ sK24 @ X39) | ($false = rel_s4 @ X39 @ sK30) | ($false = rel_s4 @ sK13 @ X39) | ($false = rel_s4 @ X39 @ sK18) <- {238, 302} [superposition 4308,4046] 126.57/124.69 10197. ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ sK19 @ sK30)) @ $true) | ($false = exists_in_world @ sK24 @ X40) | ($false = rel_s4 @ X40 @ sK30) | ($false = rel_s4 @ sK13 @ X40) | ($false = rel_s4 @ X40 @ sK18) <- {108, 238} [superposition 2193,4046] 126.57/124.69 10198. ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ sK19 @ sK33)) @ $true) | ($false = exists_in_world @ sK24 @ X41) | ($false = rel_s4 @ X41 @ sK33) | ($false = rel_s4 @ sK13 @ X41) | ($false = rel_s4 @ X41 @ sK18) <- {238, 328} [superposition 4396,4046] 126.57/124.69 10199. ($false = $true) | ($false = exists_in_world @ sK24 @ X41) | ($false = rel_s4 @ X41 @ sK33) | ($false = rel_s4 @ sK13 @ X41) | ($false = rel_s4 @ X41 @ sK18) <- {238, 328} [HOL short circuit evaluation 10198] 126.57/124.69 10200. ($false = $true) | ($false = exists_in_world @ sK24 @ X40) | ($false = rel_s4 @ X40 @ sK30) | ($false = rel_s4 @ sK13 @ X40) | ($false = rel_s4 @ X40 @ sK18) <- {108, 238} [HOL short circuit evaluation 10197] 126.57/124.69 10201. ($false = $true) | ($false = exists_in_world @ sK24 @ X38) | ($false = rel_s4 @ X38 @ sK30) | ($false = rel_s4 @ sK13 @ X38) | ($false = rel_s4 @ X38 @ sK18) <- {238, 310} [HOL short circuit evaluation 10195] 126.57/124.69 10202. ($false = $true) | ($false = exists_in_world @ sK20 @ X37) | ($false = rel_s4 @ X37 @ sK28) | ($false = rel_s4 @ sK13 @ X37) | ($false = rel_s4 @ X37 @ sK18) <- {102, 238} [HOL short circuit evaluation 10194] 126.57/124.69 10203. ($false = $true) | ($false = exists_in_world @ sK20 @ X35) | ($false = rel_s4 @ X35 @ sK28) | ($false = rel_s4 @ sK13 @ X35) | ($false = rel_s4 @ X35 @ sK18) <- {238, 280} [HOL short circuit evaluation 10192] 126.57/124.69 10204. ($false = $true) | ($false = exists_in_world @ sK20 @ X34) | ($false = rel_s4 @ X34 @ sK22) | ($false = rel_s4 @ sK13 @ X34) | ($false = rel_s4 @ X34 @ sK18) <- {52, 238} [HOL short circuit evaluation 10191] 126.57/124.69 10205. ($false = $true) | ($false = exists_in_world @ sK20 @ X32) | ($false = rel_s4 @ X32 @ sK22) | ($false = rel_s4 @ sK13 @ X32) | ($false = rel_s4 @ X32 @ sK18) <- {80, 238} [HOL short circuit evaluation 10189] 126.57/124.69 10210. 816 <=> ! [X9 : ($i > $o),X8 : mu,X10] : (($false = exists_in_world @ X8 @ X10) | ($true != X9 @ (sK10 @ (big_q @ X8) @ X9)) | big_q @ X8 = X9 | ($false = rel_s4 @ X10 @ sK18) | ($false = rel_s4 @ sK13 @ X10) | ($false = rel_s4 @ X10 @ (sK10 @ (big_q @ X8) @ X9))) [avatar definition] 126.57/124.69 10212. 816 | 0 | ~238 [avatar split clause 10177,4045,315,10210] 126.57/124.69 10214. 818 <=> ! [X11] : (($false = exists_in_world @ sK20 @ X11) | ($false = rel_s4 @ X11 @ sK18) | ($false = rel_s4 @ sK13 @ X11) | ($false = rel_s4 @ X11 @ sK22)) [avatar definition] 126.57/124.69 10216. 818 | 0 | ~76 | ~238 [avatar split clause 10178,4045,2063,315,10214] 126.57/124.69 10218. 820 <=> ! [X12] : (($false = exists_in_world @ sK20 @ X12) | ($false = rel_s4 @ X12 @ sK18) | ($false = rel_s4 @ sK13 @ X12) | ($false = rel_s4 @ X12 @ sK28)) [avatar definition] 126.57/124.69 10219. ($false = exists_in_world @ sK20 @ X12) | ($false = rel_s4 @ X12 @ sK18) | ($false = rel_s4 @ sK13 @ X12) | ($false = rel_s4 @ X12 @ sK28) <- {820} [avatar component clause 10218] 126.57/124.69 10220. 820 | 0 | ~238 | ~272 [avatar split clause 10179,4202,4045,315,10218] 126.57/124.69 10222. 822 <=> ! [X13] : (($false = exists_in_world @ sK24 @ X13) | ($false = rel_s4 @ X13 @ sK18) | ($false = rel_s4 @ sK13 @ X13) | ($false = rel_s4 @ X13 @ sK30)) [avatar definition] 126.57/124.69 10223. ($false = exists_in_world @ sK24 @ X13) | ($false = rel_s4 @ X13 @ sK18) | ($false = rel_s4 @ sK13 @ X13) | ($false = rel_s4 @ X13 @ sK30) <- {822} [avatar component clause 10222] 126.57/124.69 10224. 822 | 0 | ~238 | ~302 [avatar split clause 10180,4307,4045,315,10222] 126.57/124.69 10225. 816 | 0 | ~238 [avatar split clause 10185,4045,315,10210] 126.57/124.69 10226. 818 | 0 | ~80 | ~238 [avatar split clause 10205,4045,2073,315,10214] 126.57/124.69 10227. 818 | 0 | ~76 | ~238 [avatar split clause 10190,4045,2063,315,10214] 126.57/124.69 10228. 818 | 0 | ~52 | ~238 [avatar split clause 10204,4045,1303,315,10214] 126.57/124.69 10229. 820 | 0 | ~238 | ~280 [avatar split clause 10203,4225,4045,315,10218] 126.57/124.69 10230. 820 | 0 | ~238 | ~272 [avatar split clause 10193,4202,4045,315,10218] 126.57/124.69 10231. 820 | 0 | ~102 | ~238 [avatar split clause 10202,4045,2158,315,10218] 126.57/124.69 10232. 822 | 0 | ~238 | ~310 [avatar split clause 10201,4330,4045,315,10222] 126.57/124.69 10233. 822 | 0 | ~238 | ~302 [avatar split clause 10196,4307,4045,315,10222] 126.57/124.69 10234. 822 | 0 | ~108 | ~238 [avatar split clause 10200,4045,2192,315,10222] 126.57/124.69 10236. 824 <=> ! [X41] : (($false = exists_in_world @ sK24 @ X41) | ($false = rel_s4 @ X41 @ sK18) | ($false = rel_s4 @ sK13 @ X41) | ($false = rel_s4 @ X41 @ sK33)) [avatar definition] 126.57/124.69 10237. ($false = exists_in_world @ sK24 @ X41) | ($false = rel_s4 @ X41 @ sK18) | ($false = rel_s4 @ sK13 @ X41) | ($false = rel_s4 @ X41 @ sK33) <- {824} [avatar component clause 10236] 126.57/124.69 10238. 824 | 0 | ~238 | ~328 [avatar split clause 10199,4395,4045,315,10236] 126.57/124.69 10240. ($false = $true) | ($false = rel_s4 @ X8 @ sK28) | ($false = exists_in_world @ sK20 @ X8) | ($false = rel_s4 @ sK13 @ X8) | ($false = rel_s4 @ X8 @ (sK10 @ (big_r @ sK20) @ X7)) | big_r @ sK20 = X7 | ($true != X7 @ (sK10 @ (big_r @ sK20) @ X7)) <- {282} [superposition 4230,342] 126.57/124.69 10243. ($false = $true) | big_r @ sK20 = X10 | ($true != X10 @ (sK10 @ (big_r @ sK20) @ X10)) | ($false = rel_s4 @ X11 @ sK28) | ($false = exists_in_world @ sK20 @ X11) | ($false = rel_s4 @ sK13 @ X11) | ($false = rel_s4 @ X11 @ (sK10 @ (big_r @ sK20) @ X10)) <- {282} [superposition 342,4230] 126.57/124.69 10251. 826 <=> ! [X7 : ($i > $o),X8] : (($false = rel_s4 @ X8 @ sK28) | ($true != X7 @ (sK10 @ (big_r @ sK20) @ X7)) | big_r @ sK20 = X7 | ($false = rel_s4 @ X8 @ (sK10 @ (big_r @ sK20) @ X7)) | ($false = rel_s4 @ sK13 @ X8) | ($false = exists_in_world @ sK20 @ X8)) [avatar definition] 126.57/124.69 10253. 826 | 0 | ~282 [avatar split clause 10240,4229,315,10251] 126.57/124.69 10254. 826 | 0 | ~282 [avatar split clause 10243,4229,315,10251] 126.57/124.69 10256. ($false = $true) | ($false = rel_s4 @ X7 @ sK30) | ($false = exists_in_world @ sK24 @ X7) | ($false = rel_s4 @ sK13 @ X7) | ($false = rel_s4 @ X7 @ (sK10 @ (big_r @ sK24) @ X6)) | big_r @ sK24 = X6 | ($true != X6 @ (sK10 @ (big_r @ sK24) @ X6)) <- {312} [superposition 4335,342] 126.57/124.69 10259. ($false = $true) | big_r @ sK24 = X9 | ($true != X9 @ (sK10 @ (big_r @ sK24) @ X9)) | ($false = rel_s4 @ X10 @ sK30) | ($false = exists_in_world @ sK24 @ X10) | ($false = rel_s4 @ sK13 @ X10) | ($false = rel_s4 @ X10 @ (sK10 @ (big_r @ sK24) @ X9)) <- {312} [superposition 342,4335] 126.57/124.69 10267. 828 <=> ! [X7,X6 : ($i > $o)] : (($false = rel_s4 @ X7 @ sK30) | ($true != X6 @ (sK10 @ (big_r @ sK24) @ X6)) | big_r @ sK24 = X6 | ($false = rel_s4 @ X7 @ (sK10 @ (big_r @ sK24) @ X6)) | ($false = rel_s4 @ sK13 @ X7) | ($false = exists_in_world @ sK24 @ X7)) [avatar definition] 126.57/124.69 10269. 828 | 0 | ~312 [avatar split clause 10256,4334,315,10267] 126.57/124.69 10270. 828 | 0 | ~312 [avatar split clause 10259,4334,315,10267] 126.57/124.69 10271. ($false = p @ (sK17 @ (sK10 @ p @ (rel_s4 @ sK19)))) | ($false = rel_s4 @ sK19 @ X0) | ($false = rel_s4 @ X0 @ sK18) | rel_s4 @ sK18 = rel_s4 @ sK19 <- {138, 638} [superposition 9343,8154] 126.57/124.69 10275. p = rel_s4 @ sK19 | ($false = p @ (sK17 @ (sK10 @ p @ (rel_s4 @ sK19)))) | ($false = rel_s4 @ sK19 @ X0) | ($false = rel_s4 @ X0 @ sK18) <- {138, 638} [forward demodulation 10271,8154] 126.57/124.69 10277. 830 <=> ! [X0] : (($false = rel_s4 @ sK19 @ X0) | ($false = rel_s4 @ X0 @ sK18)) [avatar definition] 126.57/124.69 10283. 832 <=> ($false = p @ (sK17 @ (sK10 @ p @ (rel_s4 @ sK19)))) [avatar definition] 126.57/124.69 10285. 830 | 832 | 684 | ~138 | ~638 [avatar split clause 10275,8153,2315,8859,10283,10277] 126.57/124.69 10306. ($false = $true) | ($true != exists_in_world @ sK20 @ X3) | ($true != rel_s4 @ X3 @ sK13) | ($false = rel_s4 @ sK13 @ sK22) | ($false = rel_s4 @ sK13 @ X4) | ($false = p @ (sK17 @ X4)) <- {724} [superposition 9304,258] 126.57/124.69 10307. ($false = $true) | ($true != exists_in_world @ sK20 @ X6) | ($true != rel_s4 @ X6 @ X5) | ($false = rel_s4 @ X5 @ sK22) | ($false = rel_s4 @ X5 @ X7) | ($false = p @ (sK17 @ X7)) | ($false = rel_s4 @ sK13 @ X8) | ($false = rel_s4 @ X8 @ X5) <- {724} [superposition 9304,253] 126.57/124.69 10309. ($false = $true) | ($true != exists_in_world @ sK20 @ X140) | ($true != rel_s4 @ X140 @ sK18) | ($false = rel_s4 @ sK18 @ sK22) | ($false = rel_s4 @ sK18 @ X141) | ($false = p @ (sK17 @ X141)) <- {34, 724} [superposition 9304,839] 126.57/124.69 10311. ($false = $true) | ($true != exists_in_world @ sK20 @ X2) | ($true != rel_s4 @ X2 @ sK13) | ($false = rel_s4 @ sK13 @ sK22) | ($false = rel_s4 @ sK13 @ X3) | ($false = p @ (sK17 @ X3)) <- {724} [superposition 258,9304] 126.57/124.69 10312. ($false = $true) | ($false = rel_s4 @ sK13 @ X5) | ($false = rel_s4 @ X5 @ X4) | ($true != exists_in_world @ sK20 @ X6) | ($true != rel_s4 @ X6 @ X4) | ($false = rel_s4 @ X4 @ sK22) | ($false = rel_s4 @ X4 @ X7) | ($false = p @ (sK17 @ X7)) <- {724} [superposition 253,9304] 126.57/124.69 10348. ($false != $false) | ($true != exists_in_world @ sK20 @ X295) | ($true != rel_s4 @ X295 @ sK13) | ($false = rel_s4 @ sK13 @ sK22) | ($false = rel_s4 @ sK13 @ X296) | ($false = p @ (sK17 @ X296)) <- {129, 724} [superposition 2286,9304] 126.57/124.69 10349. ($false = $true) | ($true != exists_in_world @ sK20 @ X297) | ($true != rel_s4 @ X297 @ sK18) | ($false = rel_s4 @ sK18 @ sK22) | ($false = rel_s4 @ sK18 @ X298) | ($false = p @ (sK17 @ X298)) <- {34, 724} [superposition 839,9304] 126.57/124.69 10350. ($false = vOR_37 @ (vNOT_33 @ $false) @ (vPI_177 @ (sCOMB_176 @ (bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ sK18)) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r) @ sK18)))) | ($true != exists_in_world @ sK20 @ X299) | ($true != rel_s4 @ X299 @ sK18) | ($false = rel_s4 @ sK18 @ sK22) | ($false = rel_s4 @ sK18 @ X300) | ($false = p @ (sK17 @ X300)) <- {20, 724} [superposition 759,9304] 126.57/124.69 10355. ($true != exists_in_world @ sK20 @ X295) | ($true != rel_s4 @ X295 @ sK13) | ($false = rel_s4 @ sK13 @ sK22) | ($false = rel_s4 @ sK13 @ X296) | ($false = p @ (sK17 @ X296)) <- {129, 724} [trivial inequality removal 10348] 126.57/124.69 10363. 834 <=> ! [X3] : (($true != exists_in_world @ sK20 @ X3) | ($true != rel_s4 @ X3 @ sK13)) [avatar definition] 126.57/124.69 10365. 130 | 692 | 834 | 0 | ~724 [avatar split clause 10306,9303,315,10363,8967,2291] 126.57/124.69 10366. ($false = p @ sK22) | ($false = $true) | ($true != exists_in_world @ sK20 @ X140) | ($true != rel_s4 @ X140 @ sK18) | ($false = rel_s4 @ sK18 @ X141) | ($false = p @ (sK17 @ X141)) <- {34, 638, 724} [forward demodulation 10309,8154] 126.57/124.69 10367. ($false = $true) | ($false = $true) | ($true != exists_in_world @ sK20 @ X140) | ($true != rel_s4 @ X140 @ sK18) | ($false = rel_s4 @ sK18 @ X141) | ($false = p @ (sK17 @ X141)) <- {34, 638, 724, 770} [forward demodulation 10366,9763] 126.57/124.69 10368. ($false = $true) | ($true != exists_in_world @ sK20 @ X140) | ($true != rel_s4 @ X140 @ sK18) | ($false = rel_s4 @ sK18 @ X141) | ($false = p @ (sK17 @ X141)) <- {34, 638, 724, 770} [duplicate literal removal 10367] 126.57/124.69 10369. ($false = p @ X141) | ($false = $true) | ($true != exists_in_world @ sK20 @ X140) | ($true != rel_s4 @ X140 @ sK18) | ($false = p @ (sK17 @ X141)) <- {34, 638, 724, 770} [forward demodulation 10368,8154] 126.57/124.69 10370. 130 | 692 | 834 | 0 | ~724 [avatar split clause 10311,9303,315,10363,8967,2291] 126.57/124.69 10371. 130 | 692 | 834 | 129 | ~724 [avatar split clause 10355,9303,2285,10363,8967,2291] 126.57/124.69 10372. ($false = p @ sK22) | ($false = $true) | ($true != exists_in_world @ sK20 @ X297) | ($true != rel_s4 @ X297 @ sK18) | ($false = rel_s4 @ sK18 @ X298) | ($false = p @ (sK17 @ X298)) <- {34, 638, 724} [forward demodulation 10349,8154] 126.57/124.69 10373. ($false = $true) | ($false = $true) | ($true != exists_in_world @ sK20 @ X297) | ($true != rel_s4 @ X297 @ sK18) | ($false = rel_s4 @ sK18 @ X298) | ($false = p @ (sK17 @ X298)) <- {34, 638, 724, 770} [forward demodulation 10372,9763] 126.57/124.69 10374. ($false = $true) | ($true != exists_in_world @ sK20 @ X297) | ($true != rel_s4 @ X297 @ sK18) | ($false = rel_s4 @ sK18 @ X298) | ($false = p @ (sK17 @ X298)) <- {34, 638, 724, 770} [duplicate literal removal 10373] 126.57/124.69 10375. ($false = p @ X298) | ($false = $true) | ($true != exists_in_world @ sK20 @ X297) | ($true != rel_s4 @ X297 @ sK18) | ($false = p @ (sK17 @ X298)) <- {34, 638, 724, 770} [forward demodulation 10374,8154] 126.57/124.69 10376. ($false = p @ sK22) | ($false = vOR_37 @ (vNOT_33 @ $false) @ (vPI_177 @ (sCOMB_176 @ (bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ sK18)) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r) @ sK18)))) | ($true != exists_in_world @ sK20 @ X299) | ($true != rel_s4 @ X299 @ sK18) | ($false = rel_s4 @ sK18 @ X300) | ($false = p @ (sK17 @ X300)) <- {20, 638, 724} [forward demodulation 10350,8154] 126.57/124.69 10377. ($false = $true) | ($false = vOR_37 @ (vNOT_33 @ $false) @ (vPI_177 @ (sCOMB_176 @ (bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ sK18)) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r) @ sK18)))) | ($true != exists_in_world @ sK20 @ X299) | ($true != rel_s4 @ X299 @ sK18) | ($false = rel_s4 @ sK18 @ X300) | ($false = p @ (sK17 @ X300)) <- {20, 638, 724, 770} [forward demodulation 10376,9763] 126.57/124.69 10378. ($false = p @ X300) | ($false = $true) | ($false = vOR_37 @ (vNOT_33 @ $false) @ (vPI_177 @ (sCOMB_176 @ (bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ sK18)) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_r) @ sK18)))) | ($true != exists_in_world @ sK20 @ X299) | ($true != rel_s4 @ X299 @ sK18) | ($false = p @ (sK17 @ X300)) <- {20, 638, 724, 770} [forward demodulation 10377,8154] 126.57/124.69 10380. 836 <=> ! [X5,X7,X4,X6] : (($false = rel_s4 @ sK13 @ X5) | ($false = p @ (sK17 @ X7)) | ($false = rel_s4 @ X4 @ X7) | ($false = rel_s4 @ X4 @ sK22) | ($true != exists_in_world @ sK20 @ X6) | ($true != rel_s4 @ X6 @ X4) | ($false = rel_s4 @ X5 @ X4)) [avatar definition] 126.57/124.69 10382. 836 | 0 | ~724 [avatar split clause 10312,9303,315,10380] 126.57/124.69 10383. 836 | 0 | ~724 [avatar split clause 10307,9303,315,10380] 126.57/124.69 10417. ($true = rel_s4 @ sK13 @ sK23) <- {427, 429} [unit resulting resolution 5441,5447,253] 126.57/124.69 10418. ($true = rel_s4 @ sK13 @ sK23) <- {129, 429} [unit resulting resolution 2286,5447,253] 126.57/124.69 10420. ($false = rel_s4 @ sK19 @ sK13) <- {245, 254, 429} [unit resulting resolution 4060,5447,4143] 126.57/124.69 10421. ($false != $false) | ($true != exists_in_world @ sK20 @ X0) | ($true != rel_s4 @ X0 @ sK23) | ($false = rel_s4 @ sK23 @ sK22) | ($false = rel_s4 @ sK23 @ X1) | ($false = p @ (sK17 @ X1)) <- {429, 724} [superposition 5447,9304] 126.57/124.69 10427. ($true != exists_in_world @ sK20 @ X0) | ($true != rel_s4 @ X0 @ sK23) | ($false = rel_s4 @ sK23 @ sK22) | ($false = rel_s4 @ sK23 @ X1) | ($false = p @ (sK17 @ X1)) <- {429, 724} [trivial inequality removal 10421] 126.57/124.69 10428. 634 | 245 | ~254 | 429 [avatar split clause 10420,5446,4142,4059,8135] 126.57/124.69 10433. 838 <=> ($true = rel_s4 @ sK13 @ sK23) [avatar definition] 126.57/124.69 10435. 838 | 129 | 429 [avatar split clause 10418,5446,2285,10433] 126.57/124.69 10436. 838 | 427 | 429 [avatar split clause 10417,5446,5440,10433] 126.57/124.69 10441. 840 <=> ($false = rel_s4 @ sK23 @ sK22) [avatar definition] 126.57/124.69 10442. ($false = rel_s4 @ sK23 @ sK22) <- {840} [avatar component clause 10441] 126.57/124.69 10444. 842 <=> ! [X0] : (($true != exists_in_world @ sK20 @ X0) | ($true != rel_s4 @ X0 @ sK23)) [avatar definition] 126.57/124.69 10446. 598 | 840 | 842 | 429 | ~724 [avatar split clause 10427,9303,5446,10444,10441,7741] 126.57/124.69 10447. ($false = p @ (sK10 @ X0 @ (big_r @ sK20))) | big_r @ sK20 = X0 | ($false = rel_s4 @ sK18 @ sK22) | ($false = exists_in_world @ sK20 @ sK18) | ($false = rel_s4 @ sK13 @ sK18) | ($true != X0 @ (sK10 @ X0 @ (big_r @ sK20))) <- {82, 638} [superposition 4567,8154] 126.57/124.69 10448. ($false = $true) | big_r @ sK20 = X33 | ($false = rel_s4 @ (sK10 @ X33 @ (big_r @ sK20)) @ sK22) | ($false = exists_in_world @ sK20 @ (sK10 @ X33 @ (big_r @ sK20))) | ($false = rel_s4 @ sK13 @ (sK10 @ X33 @ (big_r @ sK20))) | ($true != X33 @ (sK10 @ X33 @ (big_r @ sK20))) <- {82} [superposition 4567,258] 126.57/124.69 10449. ($false = $true) | big_r @ sK20 = X42 | ($false = rel_s4 @ X41 @ sK22) | ($false = exists_in_world @ sK20 @ X41) | ($false = rel_s4 @ sK13 @ X41) | ($true != X42 @ (sK10 @ X42 @ (big_r @ sK20))) | ($false = rel_s4 @ X41 @ X43) | ($false = rel_s4 @ X43 @ (sK10 @ X42 @ (big_r @ sK20))) <- {82} [superposition 4567,253] 126.57/124.69 10452. ($false = $true) | big_r @ sK20 = X34 | ($false = rel_s4 @ (sK10 @ X34 @ (big_r @ sK20)) @ sK22) | ($false = exists_in_world @ sK20 @ (sK10 @ X34 @ (big_r @ sK20))) | ($false = rel_s4 @ sK13 @ (sK10 @ X34 @ (big_r @ sK20))) | ($true != X34 @ (sK10 @ X34 @ (big_r @ sK20))) <- {82} [superposition 258,4567] 126.57/124.69 10453. ($false = $true) | ($false = rel_s4 @ X42 @ X44) | ($false = rel_s4 @ X44 @ (sK10 @ X43 @ (big_r @ sK20))) | big_r @ sK20 = X43 | ($false = rel_s4 @ X42 @ sK22) | ($false = exists_in_world @ sK20 @ X42) | ($false = rel_s4 @ sK13 @ X42) | ($true != X43 @ (sK10 @ X43 @ (big_r @ sK20))) <- {82} [superposition 253,4567] 126.57/124.69 10456. ($false = p @ sK22) | ($false = p @ (sK10 @ X0 @ (big_r @ sK20))) | big_r @ sK20 = X0 | ($false = exists_in_world @ sK20 @ sK18) | ($false = rel_s4 @ sK13 @ sK18) | ($true != X0 @ (sK10 @ X0 @ (big_r @ sK20))) <- {82, 638} [forward demodulation 10447,8154] 126.57/124.69 10457. ($false = $true) | ($false = p @ (sK10 @ X0 @ (big_r @ sK20))) | big_r @ sK20 = X0 | ($false = exists_in_world @ sK20 @ sK18) | ($false = rel_s4 @ sK13 @ sK18) | ($true != X0 @ (sK10 @ X0 @ (big_r @ sK20))) <- {82, 638, 770} [forward demodulation 10456,9763] 126.57/124.69 10458. ($false = $true) | ($false = $true) | ($false = p @ (sK10 @ X0 @ (big_r @ sK20))) | big_r @ sK20 = X0 | ($false = exists_in_world @ sK20 @ sK18) | ($true != X0 @ (sK10 @ X0 @ (big_r @ sK20))) <- {34, 82, 638, 770} [forward demodulation 10457,839] 126.57/124.69 10459. ($false = $true) | ($false = p @ (sK10 @ X0 @ (big_r @ sK20))) | big_r @ sK20 = X0 | ($false = exists_in_world @ sK20 @ sK18) | ($true != X0 @ (sK10 @ X0 @ (big_r @ sK20))) <- {34, 82, 638, 770} [duplicate literal removal 10458] 126.57/124.69 10461. 845 <=> ($false != exists_in_world @ sK20 @ sK18) [avatar definition] 126.57/124.69 10462. ($false != exists_in_world @ sK20 @ sK18) <- {845} [avatar component clause 10461] 126.57/124.69 10464. 844 <=> ($false = exists_in_world @ sK20 @ sK18) [avatar definition] 126.57/124.69 10465. ($false = exists_in_world @ sK20 @ sK18) <- {844} [avatar component clause 10464] 126.57/124.69 10467. 846 <=> ! [X0 : ($i > $o)] : (($false = p @ (sK10 @ X0 @ (big_r @ sK20))) | ($true != X0 @ (sK10 @ X0 @ (big_r @ sK20))) | big_r @ sK20 = X0) [avatar definition] 126.57/124.69 10469. 844 | 846 | 0 | ~34 | ~82 | ~638 | ~770 [avatar split clause 10459,9762,8153,2077,838,315,10467,10464] 126.57/124.69 10471. 848 <=> ! [X33 : ($i > $o)] : (big_r @ sK20 = X33 | ($true != X33 @ (sK10 @ X33 @ (big_r @ sK20))) | ($false = rel_s4 @ sK13 @ (sK10 @ X33 @ (big_r @ sK20))) | ($false = exists_in_world @ sK20 @ (sK10 @ X33 @ (big_r @ sK20))) | ($false = rel_s4 @ (sK10 @ X33 @ (big_r @ sK20)) @ sK22)) [avatar definition] 126.57/124.69 10473. 848 | 0 | ~82 [avatar split clause 10448,2077,315,10471] 126.57/124.69 10475. 850 <=> ! [X42 : ($i > $o),X41,X43] : (big_r @ sK20 = X42 | ($true != X42 @ (sK10 @ X42 @ (big_r @ sK20))) | ($false = rel_s4 @ X41 @ sK22) | ($false = rel_s4 @ X43 @ (sK10 @ X42 @ (big_r @ sK20))) | ($false = rel_s4 @ X41 @ X43) | ($false = rel_s4 @ sK13 @ X41) | ($false = exists_in_world @ sK20 @ X41)) [avatar definition] 126.57/124.69 10477. 850 | 0 | ~82 [avatar split clause 10449,2077,315,10475] 126.57/124.69 10478. 848 | 0 | ~82 [avatar split clause 10452,2077,315,10471] 126.57/124.69 10479. 850 | 0 | ~82 [avatar split clause 10453,2077,315,10475] 126.57/124.69 10481. ($false = $true) | big_r @ sK20 = X56 | ($false = rel_s4 @ (sK10 @ (big_r @ sK20) @ X56) @ sK22) | ($false = exists_in_world @ sK20 @ (sK10 @ (big_r @ sK20) @ X56)) | ($false = rel_s4 @ sK13 @ (sK10 @ (big_r @ sK20) @ X56)) | ($true != X56 @ (sK10 @ (big_r @ sK20) @ X56)) <- {82} [superposition 4569,258] 126.57/124.69 10482. ($false = $true) | big_r @ sK20 = X65 | ($false = rel_s4 @ X64 @ sK22) | ($false = exists_in_world @ sK20 @ X64) | ($false = rel_s4 @ sK13 @ X64) | ($true != X65 @ (sK10 @ (big_r @ sK20) @ X65)) | ($false = rel_s4 @ X64 @ X66) | ($false = rel_s4 @ X66 @ (sK10 @ (big_r @ sK20) @ X65)) <- {82} [superposition 4569,253] 126.57/124.69 10488. ($false = $true) | big_r @ sK20 = X61 | ($false = rel_s4 @ (sK10 @ (big_r @ sK20) @ X61) @ sK22) | ($false = exists_in_world @ sK20 @ (sK10 @ (big_r @ sK20) @ X61)) | ($false = rel_s4 @ sK13 @ (sK10 @ (big_r @ sK20) @ X61)) | ($true != X61 @ (sK10 @ (big_r @ sK20) @ X61)) <- {82} [superposition 258,4569] 126.57/124.69 10489. ($false = $true) | ($false = rel_s4 @ X69 @ X71) | ($false = rel_s4 @ X71 @ (sK10 @ (big_r @ sK20) @ X70)) | big_r @ sK20 = X70 | ($false = rel_s4 @ X69 @ sK22) | ($false = exists_in_world @ sK20 @ X69) | ($false = rel_s4 @ sK13 @ X69) | ($true != X70 @ (sK10 @ (big_r @ sK20) @ X70)) <- {82} [superposition 253,4569] 126.57/124.69 10497. 852 <=> ! [X56 : ($i > $o)] : (big_r @ sK20 = X56 | ($true != X56 @ (sK10 @ (big_r @ sK20) @ X56)) | ($false = rel_s4 @ sK13 @ (sK10 @ (big_r @ sK20) @ X56)) | ($false = exists_in_world @ sK20 @ (sK10 @ (big_r @ sK20) @ X56)) | ($false = rel_s4 @ (sK10 @ (big_r @ sK20) @ X56) @ sK22)) [avatar definition] 126.57/124.69 10499. 852 | 0 | ~82 [avatar split clause 10481,2077,315,10497] 126.57/124.69 10501. 854 <=> ! [X65 : ($i > $o),X64,X66] : (big_r @ sK20 = X65 | ($true != X65 @ (sK10 @ (big_r @ sK20) @ X65)) | ($false = rel_s4 @ X64 @ sK22) | ($false = rel_s4 @ X66 @ (sK10 @ (big_r @ sK20) @ X65)) | ($false = rel_s4 @ X64 @ X66) | ($false = rel_s4 @ sK13 @ X64) | ($false = exists_in_world @ sK20 @ X64)) [avatar definition] 126.57/124.69 10503. 854 | 0 | ~82 [avatar split clause 10482,2077,315,10501] 126.57/124.69 10504. 852 | 0 | ~82 [avatar split clause 10488,2077,315,10497] 126.57/124.69 10505. 854 | 0 | ~82 [avatar split clause 10489,2077,315,10501] 126.57/124.69 10507. ($true != p @ (sK10 @ (big_q @ X0) @ p)) | ($false = exists_in_world @ X0 @ sK18) | ($false = rel_s4 @ sK18 @ X1) | ($false = rel_s4 @ sK13 @ sK18) | ($true = big_r @ X0 @ X1) | rel_s4 @ sK18 = big_q @ X0 <- {6, 638} [superposition 4600,8154] 126.57/124.69 10552. ($false = p @ X1) | ($true != p @ (sK10 @ (big_q @ X0) @ p)) | ($false = exists_in_world @ X0 @ sK18) | ($false = rel_s4 @ sK13 @ sK18) | ($true = big_r @ X0 @ X1) | rel_s4 @ sK18 = big_q @ X0 <- {6, 638} [forward demodulation 10507,8154] 126.57/124.69 10553. ($false = $true) | ($false = p @ X1) | ($true != p @ (sK10 @ (big_q @ X0) @ p)) | ($false = exists_in_world @ X0 @ sK18) | ($true = big_r @ X0 @ X1) | rel_s4 @ sK18 = big_q @ X0 <- {6, 34, 638} [forward demodulation 10552,839] 126.57/124.69 10554. p = big_q @ X0 | ($false = $true) | ($false = p @ X1) | ($true != p @ (sK10 @ (big_q @ X0) @ p)) | ($false = exists_in_world @ X0 @ sK18) | ($true = big_r @ X0 @ X1) <- {6, 34, 638} [forward demodulation 10553,8154] 126.57/124.69 10556. 856 <=> ! [X1,X0 : mu] : (p = big_q @ X0 | ($true = big_r @ X0 @ X1) | ($false = exists_in_world @ X0 @ sK18) | ($true != p @ (sK10 @ (big_q @ X0) @ p)) | ($false = p @ X1)) [avatar definition] 126.57/124.69 10558. 0 | 856 | ~6 | ~34 | ~638 [avatar split clause 10554,8153,838,368,10556,315] 126.57/124.69 10560. ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ (sK10 @ (rel_s4 @ sK19) @ (rel_s4 @ X3)) @ (sK17 @ (sK10 @ (rel_s4 @ sK19) @ (rel_s4 @ X3))))) @ $false) | ($false = exists_in_world @ X4 @ X5) | ($false = rel_s4 @ X5 @ (sK10 @ (rel_s4 @ sK19) @ (rel_s4 @ X3))) | ($false = rel_s4 @ sK13 @ X5) | ($false = rel_s4 @ X5 @ X6) | ($true = big_q @ X4 @ X6) | ($false = rel_s4 @ X7 @ X8) | ($false = rel_s4 @ X8 @ X3) | ($false = rel_s4 @ sK19 @ X7) | ($false = rel_s4 @ X3 @ X3) | rel_s4 @ sK19 = rel_s4 @ X3 <- {6, 138} [superposition 959,5677] 126.57/124.69 10563. ($false = $true) | ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ (sK10 @ (rel_s4 @ sK19) @ (rel_s4 @ X3)) @ (sK17 @ (sK10 @ (rel_s4 @ sK19) @ (rel_s4 @ X3))))) @ $false) | ($false = exists_in_world @ X4 @ X5) | ($false = rel_s4 @ X5 @ (sK10 @ (rel_s4 @ sK19) @ (rel_s4 @ X3))) | ($false = rel_s4 @ sK13 @ X5) | ($false = rel_s4 @ X5 @ X6) | ($true = big_q @ X4 @ X6) | ($false = rel_s4 @ X7 @ X8) | ($false = rel_s4 @ X8 @ X3) | ($false = rel_s4 @ sK19 @ X7) | rel_s4 @ sK19 = rel_s4 @ X3 <- {6, 138} [forward demodulation 10560,258] 126.57/124.69 10565. 858 <=> ! [X3,X5,X7,X8,X4 : mu,X6] : (($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ (sK10 @ (rel_s4 @ sK19) @ (rel_s4 @ X3)) @ (sK17 @ (sK10 @ (rel_s4 @ sK19) @ (rel_s4 @ X3))))) @ $false) | rel_s4 @ sK19 = rel_s4 @ X3 | ($false = rel_s4 @ sK19 @ X7) | ($false = rel_s4 @ X7 @ X8) | ($false = rel_s4 @ X8 @ X3) | ($true = big_q @ X4 @ X6) | ($false = rel_s4 @ X5 @ X6) | ($false = rel_s4 @ sK13 @ X5) | ($false = exists_in_world @ X4 @ X5) | ($false = rel_s4 @ X5 @ (sK10 @ (rel_s4 @ sK19) @ (rel_s4 @ X3)))) [avatar definition] 126.57/124.69 10567. 858 | 0 | ~6 | ~138 [avatar split clause 10563,2315,368,315,10565] 126.57/124.69 10569. ($false != big_q @ X0 @ (sK10 @ p @ (big_q @ X0))) | rel_s4 @ sK18 = big_q @ X0 | ($false = exists_in_world @ X0 @ sK18) | ($false = rel_s4 @ sK18 @ X1) | ($false = rel_s4 @ sK13 @ sK18) | ($false = p @ (sK17 @ X1)) <- {6, 638} [superposition 9551,8154] 126.57/124.69 10574. p = big_q @ X0 | ($false != big_q @ X0 @ (sK10 @ p @ (big_q @ X0))) | ($false = exists_in_world @ X0 @ sK18) | ($false = rel_s4 @ sK18 @ X1) | ($false = rel_s4 @ sK13 @ sK18) | ($false = p @ (sK17 @ X1)) <- {6, 638} [forward demodulation 10569,8154] 126.57/124.69 10575. ($false = p @ X1) | p = big_q @ X0 | ($false != big_q @ X0 @ (sK10 @ p @ (big_q @ X0))) | ($false = exists_in_world @ X0 @ sK18) | ($false = rel_s4 @ sK13 @ sK18) | ($false = p @ (sK17 @ X1)) <- {6, 638} [forward demodulation 10574,8154] 126.57/124.69 10577. ($false != big_q @ X0 @ (sK10 @ (big_q @ X0) @ p)) | rel_s4 @ sK18 = big_q @ X0 | ($false = exists_in_world @ X0 @ sK18) | ($false = rel_s4 @ sK18 @ X1) | ($false = rel_s4 @ sK13 @ sK18) | ($false = p @ (sK17 @ X1)) <- {6, 638} [superposition 9600,8154] 126.57/124.69 10585. p = big_q @ X0 | ($false != big_q @ X0 @ (sK10 @ (big_q @ X0) @ p)) | ($false = exists_in_world @ X0 @ sK18) | ($false = rel_s4 @ sK18 @ X1) | ($false = rel_s4 @ sK13 @ sK18) | ($false = p @ (sK17 @ X1)) <- {6, 638} [forward demodulation 10577,8154] 126.57/124.69 10586. ($false = p @ X1) | p = big_q @ X0 | ($false != big_q @ X0 @ (sK10 @ (big_q @ X0) @ p)) | ($false = exists_in_world @ X0 @ sK18) | ($false = rel_s4 @ sK13 @ sK18) | ($false = p @ (sK17 @ X1)) <- {6, 638} [forward demodulation 10585,8154] 126.57/124.69 10588. ($false = $true) | ($false != big_r @ sK20 @ (sK10 @ X36 @ (big_r @ sK20))) | ($false = rel_s4 @ (sK10 @ X36 @ (big_r @ sK20)) @ sK22) | ($false = exists_in_world @ sK20 @ (sK10 @ X36 @ (big_r @ sK20))) | ($false = rel_s4 @ sK13 @ (sK10 @ X36 @ (big_r @ sK20))) | big_r @ sK20 = X36 <- {82} [superposition 4578,258] 126.57/124.69 10589. ($false = $true) | ($false != big_r @ sK20 @ (sK10 @ X45 @ (big_r @ sK20))) | ($false = rel_s4 @ X44 @ sK22) | ($false = exists_in_world @ sK20 @ X44) | ($false = rel_s4 @ sK13 @ X44) | big_r @ sK20 = X45 | ($false = rel_s4 @ X44 @ X46) | ($false = rel_s4 @ X46 @ (sK10 @ X45 @ (big_r @ sK20))) <- {82} [superposition 4578,253] 126.57/124.69 10592. ($false = $true) | ($false != big_r @ sK20 @ (sK10 @ X37 @ (big_r @ sK20))) | ($false = rel_s4 @ (sK10 @ X37 @ (big_r @ sK20)) @ sK22) | ($false = exists_in_world @ sK20 @ (sK10 @ X37 @ (big_r @ sK20))) | ($false = rel_s4 @ sK13 @ (sK10 @ X37 @ (big_r @ sK20))) | big_r @ sK20 = X37 <- {82} [superposition 258,4578] 126.57/124.69 10593. ($false = $true) | ($false = rel_s4 @ X45 @ X47) | ($false = rel_s4 @ X47 @ (sK10 @ X46 @ (big_r @ sK20))) | ($false != big_r @ sK20 @ (sK10 @ X46 @ (big_r @ sK20))) | ($false = rel_s4 @ X45 @ sK22) | ($false = exists_in_world @ sK20 @ X45) | ($false = rel_s4 @ sK13 @ X45) | big_r @ sK20 = X46 <- {82} [superposition 253,4578] 126.57/124.69 10597. 860 <=> ! [X36 : ($i > $o)] : (($false != big_r @ sK20 @ (sK10 @ X36 @ (big_r @ sK20))) | big_r @ sK20 = X36 | ($false = rel_s4 @ sK13 @ (sK10 @ X36 @ (big_r @ sK20))) | ($false = exists_in_world @ sK20 @ (sK10 @ X36 @ (big_r @ sK20))) | ($false = rel_s4 @ (sK10 @ X36 @ (big_r @ sK20)) @ sK22)) [avatar definition] 126.57/124.69 10599. 860 | 0 | ~82 [avatar split clause 10588,2077,315,10597] 126.57/124.69 10601. 862 <=> ! [X44,X46,X45 : ($i > $o)] : (($false != big_r @ sK20 @ (sK10 @ X45 @ (big_r @ sK20))) | big_r @ sK20 = X45 | ($false = rel_s4 @ X44 @ sK22) | ($false = rel_s4 @ X46 @ (sK10 @ X45 @ (big_r @ sK20))) | ($false = rel_s4 @ X44 @ X46) | ($false = rel_s4 @ sK13 @ X44) | ($false = exists_in_world @ sK20 @ X44)) [avatar definition] 126.57/124.69 10603. 862 | 0 | ~82 [avatar split clause 10589,2077,315,10601] 126.57/124.69 10604. 860 | 0 | ~82 [avatar split clause 10592,2077,315,10597] 126.57/124.69 10605. 862 | 0 | ~82 [avatar split clause 10593,2077,315,10601] 126.57/124.69 10805. ($true = rel_s4 @ X939 @ sK13) | ($false = rel_s4 @ sK12 @ X939) | ($false = rel_s4 @ X939 @ sK12) <- {4} [superposition 362,5049] 126.57/124.69 10856. ($true = rel_s4 @ X1024 @ sK22) | ($false = rel_s4 @ sK19 @ X1024) | ($false = rel_s4 @ X1024 @ sK19) <- {74} [superposition 2057,5049] 126.57/124.69 10857. ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ X1025 @ sK28)) @ (big_q @ sK20 @ sK28)) | ($false = rel_s4 @ sK19 @ X1025) | ($false = rel_s4 @ X1025 @ sK19) <- {102} [superposition 2159,5049] 126.57/124.69 10858. ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ X1026 @ sK30)) @ (big_q @ sK24 @ sK30)) | ($false = rel_s4 @ sK19 @ X1026) | ($false = rel_s4 @ X1026 @ sK19) <- {108} [superposition 2193,5049] 126.57/124.69 10863. ($true = rel_s4 @ X1035 @ sK28) | ($false = rel_s4 @ sK19 @ X1035) | ($false = rel_s4 @ X1035 @ sK19) <- {270} [superposition 4196,5049] 126.57/124.69 10864. ($true = rel_s4 @ X1036 @ sK30) | ($false = rel_s4 @ sK19 @ X1036) | ($false = rel_s4 @ X1036 @ sK19) <- {300} [superposition 4301,5049] 126.57/124.69 10865. ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ X1037 @ sK33)) @ (big_q @ sK24 @ sK33)) | ($false = rel_s4 @ sK19 @ X1037) | ($false = rel_s4 @ X1037 @ sK19) <- {328} [superposition 4396,5049] 126.57/124.69 10868. ($false = rel_s4 @ sK19 @ X1043) | ($false != rel_s4 @ X1043 @ sK22) | ($false = rel_s4 @ X1043 @ sK19) <- {727} [superposition 9310,5049] 126.57/124.69 11096. ($true = rel_s4 @ X983 @ sK23) | ($false = rel_s4 @ X983 @ sK18) | ($false = rel_s4 @ sK18 @ X983) <- {92} [superposition 2125,5049] 126.57/124.69 11097. ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ X984 @ sK29)) @ (big_r @ sK21 @ sK29)) | ($false = rel_s4 @ X984 @ sK18) | ($false = rel_s4 @ sK18 @ X984) <- {104} [superposition 2172,5049] 126.57/124.69 11098. ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ X985 @ sK31)) @ (big_r @ sK25 @ sK31)) | ($false = rel_s4 @ X985 @ sK18) | ($false = rel_s4 @ sK18 @ X985) <- {116} [superposition 2224,5049] 126.57/124.69 11101. ($true = rel_s4 @ X989 @ sK29) | ($false = rel_s4 @ X989 @ sK18) | ($false = rel_s4 @ sK18 @ X989) <- {286} [superposition 4253,5049] 126.57/124.69 11102. ($true = rel_s4 @ X990 @ sK31) | ($false = rel_s4 @ X990 @ sK18) | ($false = rel_s4 @ sK18 @ X990) <- {314} [superposition 4349,5049] 126.57/124.69 11103. ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ X991 @ sK34)) @ (big_r @ sK25 @ sK34)) | ($false = rel_s4 @ X991 @ sK18) | ($false = rel_s4 @ sK18 @ X991) <- {330} [superposition 4409,5049] 126.57/124.69 11104. ($false = rel_s4 @ sK18 @ X992) | ($false = rel_s4 @ X992 @ sK18) | ($false != rel_s4 @ X992 @ sK23) <- {335} [superposition 4444,5049] 126.57/124.69 11211. ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ X1025 @ sK28)) @ $false) | ($false = rel_s4 @ sK19 @ X1025) | ($false = rel_s4 @ X1025 @ sK19) <- {102, 272} [forward demodulation 10857,4203] 126.57/124.69 11212. ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ X1026 @ sK30)) @ $false) | ($false = rel_s4 @ sK19 @ X1026) | ($false = rel_s4 @ X1026 @ sK19) <- {108, 302} [forward demodulation 10858,4308] 126.57/124.69 11213. ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ X1037 @ sK33)) @ $false) | ($false = rel_s4 @ sK19 @ X1037) | ($false = rel_s4 @ X1037 @ sK19) <- {328, 546} [forward demodulation 10865,7289] 126.57/124.69 11242. ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ X984 @ sK29)) @ $false) | ($false = rel_s4 @ X984 @ sK18) | ($false = rel_s4 @ sK18 @ X984) <- {104, 288} [forward demodulation 11097,4260] 126.57/124.69 11244. ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ X985 @ sK31)) @ $false) | ($false = rel_s4 @ X985 @ sK18) | ($false = rel_s4 @ sK18 @ X985) <- {116, 316} [forward demodulation 11098,4356] 126.57/124.69 11249. ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ X991 @ sK34)) @ $false) | ($false = rel_s4 @ X991 @ sK18) | ($false = rel_s4 @ sK18 @ X991) <- {330, 560} [forward demodulation 11103,7339] 126.57/124.69 11286. ($false = $true) | ($false = rel_s4 @ sK13 @ X0) | ($false = rel_s4 @ X0 @ sK23) <- {428} [superposition 5450,253] 126.57/124.69 11287. ($false = $true) | ($false = rel_s4 @ sK13 @ X0) | ($false = rel_s4 @ X0 @ sK23) <- {428} [superposition 253,5450] 126.57/124.69 11289. 864 <=> ! [X0] : (($false = rel_s4 @ sK13 @ X0) | ($false = rel_s4 @ X0 @ sK23)) [avatar definition] 126.57/124.69 11291. 864 | 0 | ~428 [avatar split clause 11286,5449,315,11289] 126.57/124.69 11292. 864 | 0 | ~428 [avatar split clause 11287,5449,315,11289] 126.57/124.69 11293. ($false = vNOT_33 @ $false) <- {222} [HOL binary constant elimination 3819] 126.57/124.69 11294. ($false = vPI_177 @ (sCOMB_176 @ (bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ sK19)) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q) @ sK19))) <- {222} [HOL binary constant elimination 3819] 126.57/124.69 11295. ($false = sCOMB_176 @ (bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ sK19)) @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q) @ sK19) @ sK39) <- {222} [HOL SIGMA constant elimination 11294] 126.57/124.69 11296. ($false = bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ sK19) @ sK39 @ (cCOMB_171 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q) @ sK19 @ sK39)) <- {222} [S combinator elimination 11295] 126.57/124.69 11297. ($false = bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ sK19) @ sK39 @ (bCOMB_18 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))))) @ big_q @ sK39 @ sK19)) <- {222} [C combinator elimination 11296] 126.57/124.69 11298. ($false = bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ sK19) @ sK39 @ (bCOMB_159 @ (bCOMB_45 @ vPI_16) @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4)))) @ (big_q @ sK39) @ sK19)) <- {222} [B combinator elimination 11297] 126.57/124.69 11299. ($false = bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ sK19) @ sK39 @ (bCOMB_45 @ vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (big_q @ sK39)) @ sK19)) <- {222} [B combinator elimination 11298] 126.57/124.69 11300. ($false = bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ sK19) @ sK39 @ (vPI_16 @ (cCOMB_87 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4))) @ (big_q @ sK39) @ sK19))) <- {222} [B combinator elimination 11299] 126.57/124.69 11301. ($false = bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ sK19) @ sK39 @ (vPI_16 @ (bCOMB_53 @ sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4)) @ sK19 @ (big_q @ sK39)))) <- {222} [C combinator elimination 11300] 126.57/124.69 11302. ($false = bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ sK19) @ sK39 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_51 @ (bCOMB_40 @ vOR_37) @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4) @ sK19) @ (big_q @ sK39)))) <- {222} [B combinator elimination 11301] 126.57/124.69 11303. ($false = bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ sK19) @ sK39 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_43 @ (bCOMB_34 @ vNOT_33) @ rel_s4 @ sK19)) @ (big_q @ sK39)))) <- {222} [B combinator elimination 11302] 126.57/124.69 11304. ($false = bCOMB_174 @ vIMP_37 @ (cCOMB_171 @ exists_in_world @ sK19) @ sK39 @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK19))) @ (big_q @ sK39)))) <- {222} [B combinator elimination 11303] 126.57/124.69 11305. ($false = vIMP_37 @ (cCOMB_171 @ exists_in_world @ sK19 @ sK39) @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK19))) @ (big_q @ sK39)))) <- {222} [B combinator elimination 11304] 126.57/124.69 11306. ($false = vIMP_37 @ (exists_in_world @ sK39 @ sK19) @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK19))) @ (big_q @ sK39)))) <- {222} [C combinator elimination 11305] 126.57/124.69 11307. ($false = $true) <- {222} [HOL not constant elimination 11293] 126.57/124.69 11308. 0 | ~222 [avatar split clause 11307,3818,315] 126.57/124.69 11310. 867 <=> ($false != vIMP_37 @ (exists_in_world @ sK39 @ sK19) @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK19))) @ (big_q @ sK39)))) [avatar definition] 126.57/124.69 11311. ($false != vIMP_37 @ (exists_in_world @ sK39 @ sK19) @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK19))) @ (big_q @ sK39)))) <- {867} [avatar component clause 11310] 126.57/124.69 11313. 866 <=> ($false = vIMP_37 @ (exists_in_world @ sK39 @ sK19) @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK19))) @ (big_q @ sK39)))) [avatar definition] 126.57/124.69 11315. 866 | ~222 [avatar split clause 11306,3818,11313] 126.57/124.69 11318. ($false = exists_in_world @ sK39 @ sK19) | ($true = vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK19))) @ (big_q @ sK39))) <- {867} [HOL binary constant elimination 11311] 126.57/124.69 11319. ($false = exists_in_world @ sK39 @ sK19) | ($true = sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK19))) @ (big_q @ sK39) @ X1) <- {867} [HOL PI constant elimination 11318] 126.57/124.69 11320. ($false = exists_in_world @ sK39 @ sK19) | ($true = bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK19)) @ X1 @ (big_q @ sK39 @ X1)) <- {867} [S combinator elimination 11319] 126.57/124.69 11321. ($false = exists_in_world @ sK39 @ sK19) | ($true = vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK19) @ X1) @ (big_q @ sK39 @ X1)) <- {867} [B combinator elimination 11320] 126.57/124.69 11322. ($false = exists_in_world @ sK39 @ sK19) | ($true = vOR_37 @ (vNOT_33 @ (rel_s4 @ sK19 @ X1)) @ (big_q @ sK39 @ X1)) <- {867} [B combinator elimination 11321] 126.57/124.69 11323. ($false = exists_in_world @ sK39 @ sK19) | ($true = vNOT_33 @ (rel_s4 @ sK19 @ X1)) | ($true = big_q @ sK39 @ X1) <- {867} [HOL binary constant elimination 11322] 126.57/124.69 11324. ($false = exists_in_world @ sK39 @ sK19) | ($false = rel_s4 @ sK19 @ X1) | ($true = big_q @ sK39 @ X1) <- {867} [HOL not constant elimination 11323] 126.57/124.69 11326. 868 <=> ! [X1] : (($false = rel_s4 @ sK19 @ X1) | ($true = big_q @ sK39 @ X1)) [avatar definition] 126.57/124.69 11332. 870 <=> ($false = exists_in_world @ sK39 @ sK19) [avatar definition] 126.57/124.69 11333. ($false = exists_in_world @ sK39 @ sK19) <- {870} [avatar component clause 11332] 126.57/124.69 11334. 868 | 870 | 867 [avatar split clause 11324,11310,11332,11326] 126.57/124.70 11335. ($false = p @ (sK10 @ X0 @ (big_q @ X1))) | ($false = exists_in_world @ X1 @ sK18) | big_q @ X1 = X0 | ($false = rel_s4 @ sK13 @ sK18) | ($true != X0 @ (sK10 @ X0 @ (big_q @ X1))) | ($false = p @ (sK17 @ (sK10 @ X0 @ (big_q @ X1)))) <- {6, 638} [superposition 9493,8154] 126.57/124.70 11338. ($false = $true) | ($false = exists_in_world @ X71 @ (sK10 @ X70 @ (big_q @ X71))) | big_q @ X71 = X70 | ($false = rel_s4 @ sK13 @ (sK10 @ X70 @ (big_q @ X71))) | ($true != X70 @ (sK10 @ X70 @ (big_q @ X71))) | ($false = p @ (sK17 @ (sK10 @ X70 @ (big_q @ X71)))) <- {6} [superposition 9493,258] 126.57/124.70 11339. ($false = $true) | ($false = exists_in_world @ X88 @ X86) | big_q @ X88 = X87 | ($false = rel_s4 @ sK13 @ X86) | ($true != X87 @ (sK10 @ X87 @ (big_q @ X88))) | ($false = p @ (sK17 @ (sK10 @ X87 @ (big_q @ X88)))) | ($false = rel_s4 @ X86 @ X89) | ($false = rel_s4 @ X89 @ (sK10 @ X87 @ (big_q @ X88))) <- {6} [superposition 9493,253] 126.57/124.70 11342. ($false = $true) | ($false = exists_in_world @ X73 @ (sK10 @ X72 @ (big_q @ X73))) | big_q @ X73 = X72 | ($false = rel_s4 @ sK13 @ (sK10 @ X72 @ (big_q @ X73))) | ($true != X72 @ (sK10 @ X72 @ (big_q @ X73))) | ($false = p @ (sK17 @ (sK10 @ X72 @ (big_q @ X73)))) <- {6} [superposition 258,9493] 126.57/124.70 11343. ($false = $true) | ($false = rel_s4 @ X88 @ X91) | ($false = rel_s4 @ X91 @ (sK10 @ X89 @ (big_q @ X90))) | ($false = exists_in_world @ X90 @ X88) | big_q @ X90 = X89 | ($false = rel_s4 @ sK13 @ X88) | ($true != X89 @ (sK10 @ X89 @ (big_q @ X90))) | ($false = p @ (sK17 @ (sK10 @ X89 @ (big_q @ X90)))) <- {6} [superposition 253,9493] 126.57/124.70 11347. 872 <=> ! [X71 : mu,X70 : ($i > $o)] : (($false = exists_in_world @ X71 @ (sK10 @ X70 @ (big_q @ X71))) | ($false = p @ (sK17 @ (sK10 @ X70 @ (big_q @ X71)))) | ($true != X70 @ (sK10 @ X70 @ (big_q @ X71))) | ($false = rel_s4 @ sK13 @ (sK10 @ X70 @ (big_q @ X71))) | big_q @ X71 = X70) [avatar definition] 126.57/124.70 11349. 872 | 0 | ~6 [avatar split clause 11338,368,315,11347] 126.57/124.70 11351. 874 <=> ! [X86,X89,X87 : ($i > $o),X88 : mu] : (($false = exists_in_world @ X88 @ X86) | ($false = rel_s4 @ X89 @ (sK10 @ X87 @ (big_q @ X88))) | ($false = rel_s4 @ X86 @ X89) | ($false = p @ (sK17 @ (sK10 @ X87 @ (big_q @ X88)))) | ($true != X87 @ (sK10 @ X87 @ (big_q @ X88))) | ($false = rel_s4 @ sK13 @ X86) | big_q @ X88 = X87) [avatar definition] 126.57/124.70 11353. 874 | 0 | ~6 [avatar split clause 11339,368,315,11351] 126.57/124.70 11354. 872 | 0 | ~6 [avatar split clause 11342,368,315,11347] 126.57/124.70 11355. 874 | 0 | ~6 [avatar split clause 11343,368,315,11351] 126.57/124.70 11356. ($false = p @ (sK10 @ (big_q @ X0) @ X1)) | ($false = exists_in_world @ X0 @ sK18) | big_q @ X0 = X1 | ($false = rel_s4 @ sK13 @ sK18) | ($true != X1 @ (sK10 @ (big_q @ X0) @ X1)) | ($false = p @ (sK17 @ (sK10 @ (big_q @ X0) @ X1))) <- {6, 638} [superposition 9524,8154] 126.57/124.70 11359. ($false = $true) | ($false = exists_in_world @ X117 @ (sK10 @ (big_q @ X117) @ X118)) | big_q @ X117 = X118 | ($false = rel_s4 @ sK13 @ (sK10 @ (big_q @ X117) @ X118)) | ($true != X118 @ (sK10 @ (big_q @ X117) @ X118)) | ($false = p @ (sK17 @ (sK10 @ (big_q @ X117) @ X118))) <- {6} [superposition 9524,258] 126.57/124.70 11360. ($false = $true) | ($false = exists_in_world @ X134 @ X133) | big_q @ X134 = X135 | ($false = rel_s4 @ sK13 @ X133) | ($true != X135 @ (sK10 @ (big_q @ X134) @ X135)) | ($false = p @ (sK17 @ (sK10 @ (big_q @ X134) @ X135))) | ($false = rel_s4 @ X133 @ X136) | ($false = rel_s4 @ X136 @ (sK10 @ (big_q @ X134) @ X135)) <- {6} [superposition 9524,253] 126.57/124.70 11367. ($false = $true) | ($false = exists_in_world @ X129 @ (sK10 @ (big_q @ X129) @ X130)) | big_q @ X129 = X130 | ($false = rel_s4 @ sK13 @ (sK10 @ (big_q @ X129) @ X130)) | ($true != X130 @ (sK10 @ (big_q @ X129) @ X130)) | ($false = p @ (sK17 @ (sK10 @ (big_q @ X129) @ X130))) <- {6} [superposition 258,9524] 126.57/124.70 11368. ($false = $true) | ($false = rel_s4 @ X145 @ X148) | ($false = rel_s4 @ X148 @ (sK10 @ (big_q @ X146) @ X147)) | ($false = exists_in_world @ X146 @ X145) | big_q @ X146 = X147 | ($false = rel_s4 @ sK13 @ X145) | ($true != X147 @ (sK10 @ (big_q @ X146) @ X147)) | ($false = p @ (sK17 @ (sK10 @ (big_q @ X146) @ X147))) <- {6} [superposition 253,9524] 126.57/124.70 11377. 876 <=> ! [X117 : mu,X118 : ($i > $o)] : (($false = exists_in_world @ X117 @ (sK10 @ (big_q @ X117) @ X118)) | ($false = p @ (sK17 @ (sK10 @ (big_q @ X117) @ X118))) | ($true != X118 @ (sK10 @ (big_q @ X117) @ X118)) | ($false = rel_s4 @ sK13 @ (sK10 @ (big_q @ X117) @ X118)) | big_q @ X117 = X118) [avatar definition] 126.57/124.70 11379. 876 | 0 | ~6 [avatar split clause 11359,368,315,11377] 126.57/124.70 11381. 878 <=> ! [X133,X135 : ($i > $o),X136,X134 : mu] : (($false = exists_in_world @ X134 @ X133) | ($false = rel_s4 @ X136 @ (sK10 @ (big_q @ X134) @ X135)) | ($false = rel_s4 @ X133 @ X136) | ($false = p @ (sK17 @ (sK10 @ (big_q @ X134) @ X135))) | ($true != X135 @ (sK10 @ (big_q @ X134) @ X135)) | ($false = rel_s4 @ sK13 @ X133) | big_q @ X134 = X135) [avatar definition] 126.57/124.70 11383. 878 | 0 | ~6 [avatar split clause 11360,368,315,11381] 126.57/124.70 11384. 876 | 0 | ~6 [avatar split clause 11367,368,315,11377] 126.57/124.70 11385. 878 | 0 | ~6 [avatar split clause 11368,368,315,11381] 126.57/124.70 11410. ($false = $true) | ($false != big_r @ sK20 @ (sK10 @ (big_r @ sK20) @ (exists_in_world @ X24))) | ($false = rel_s4 @ (sK10 @ (big_r @ sK20) @ (exists_in_world @ X24)) @ sK22) | ($false = exists_in_world @ sK20 @ (sK10 @ (big_r @ sK20) @ (exists_in_world @ X24))) | ($false = rel_s4 @ sK13 @ (sK10 @ (big_r @ sK20) @ (exists_in_world @ X24))) | big_r @ sK20 = exists_in_world @ X24 <- {82} [superposition 4576,258] 126.57/124.70 11411. ($false = $true) | ($false != big_r @ sK20 @ (sK10 @ (big_r @ sK20) @ (exists_in_world @ X33))) | ($false = rel_s4 @ X32 @ sK22) | ($false = exists_in_world @ sK20 @ X32) | ($false = rel_s4 @ sK13 @ X32) | big_r @ sK20 = exists_in_world @ X33 | ($false = rel_s4 @ X32 @ X34) | ($false = rel_s4 @ X34 @ (sK10 @ (big_r @ sK20) @ (exists_in_world @ X33))) <- {82} [superposition 4576,253] 126.57/124.70 11414. ($false = $true) | ($false != big_r @ sK20 @ (sK10 @ (big_r @ sK20) @ (exists_in_world @ X26))) | ($false = rel_s4 @ (sK10 @ (big_r @ sK20) @ (exists_in_world @ X26)) @ sK22) | ($false = exists_in_world @ sK20 @ (sK10 @ (big_r @ sK20) @ (exists_in_world @ X26))) | ($false = rel_s4 @ sK13 @ (sK10 @ (big_r @ sK20) @ (exists_in_world @ X26))) | big_r @ sK20 = exists_in_world @ X26 <- {82} [superposition 258,4576] 126.57/124.70 11415. ($false = $true) | ($false = rel_s4 @ X34 @ X36) | ($false = rel_s4 @ X36 @ (sK10 @ (big_r @ sK20) @ (exists_in_world @ X35))) | ($false != big_r @ sK20 @ (sK10 @ (big_r @ sK20) @ (exists_in_world @ X35))) | ($false = rel_s4 @ X34 @ sK22) | ($false = exists_in_world @ sK20 @ X34) | ($false = rel_s4 @ sK13 @ X34) | big_r @ sK20 = exists_in_world @ X35 <- {82} [superposition 253,4576] 126.57/124.70 11419. 880 <=> ! [X24 : mu] : (($false != big_r @ sK20 @ (sK10 @ (big_r @ sK20) @ (exists_in_world @ X24))) | big_r @ sK20 = exists_in_world @ X24 | ($false = rel_s4 @ sK13 @ (sK10 @ (big_r @ sK20) @ (exists_in_world @ X24))) | ($false = exists_in_world @ sK20 @ (sK10 @ (big_r @ sK20) @ (exists_in_world @ X24))) | ($false = rel_s4 @ (sK10 @ (big_r @ sK20) @ (exists_in_world @ X24)) @ sK22)) (HD) [avatar definition] 126.57/124.70 11421. 880 | 0 | ~82 [avatar split clause 11410,2077,315,11419] 126.57/124.70 11423. 882 <=> ! [X32,X34,X33 : mu] : (($false != big_r @ sK20 @ (sK10 @ (big_r @ sK20) @ (exists_in_world @ X33))) | big_r @ sK20 = exists_in_world @ X33 | ($false = rel_s4 @ X32 @ sK22) | ($false = rel_s4 @ X34 @ (sK10 @ (big_r @ sK20) @ (exists_in_world @ X33))) | ($false = rel_s4 @ X32 @ X34) | ($false = rel_s4 @ sK13 @ X32) | ($false = exists_in_world @ sK20 @ X32)) [avatar definition] 126.57/124.70 11425. 882 | 0 | ~82 [avatar split clause 11411,2077,315,11423] 126.57/124.70 11426. 880 | 0 | ~82 [avatar split clause 11414,2077,315,11419] 126.57/124.70 11427. 882 | 0 | ~82 [avatar split clause 11415,2077,315,11423] 126.57/124.70 11431. ($false = rel_s4 @ X0 @ (sK10 @ (big_r @ sK20) @ p)) | ($false != big_r @ sK20 @ (sK10 @ (big_r @ sK20) @ (rel_s4 @ sK18))) | ($false = rel_s4 @ X0 @ sK22) | ($false = exists_in_world @ sK20 @ X0) | ($false = rel_s4 @ sK13 @ X0) | rel_s4 @ sK18 = big_r @ sK20 <- {82, 638} [superposition 4577,8154] 126.57/124.70 11434. ($false = $true) | ($false != big_r @ sK20 @ (sK10 @ (big_r @ sK20) @ (rel_s4 @ X25))) | ($false = rel_s4 @ (sK10 @ (big_r @ sK20) @ (rel_s4 @ X25)) @ sK22) | ($false = exists_in_world @ sK20 @ (sK10 @ (big_r @ sK20) @ (rel_s4 @ X25))) | ($false = rel_s4 @ sK13 @ (sK10 @ (big_r @ sK20) @ (rel_s4 @ X25))) | rel_s4 @ X25 = big_r @ sK20 <- {82} [superposition 4577,258] 126.57/124.70 11435. ($false = $true) | ($false != big_r @ sK20 @ (sK10 @ (big_r @ sK20) @ (rel_s4 @ X34))) | ($false = rel_s4 @ X33 @ sK22) | ($false = exists_in_world @ sK20 @ X33) | ($false = rel_s4 @ sK13 @ X33) | rel_s4 @ X34 = big_r @ sK20 | ($false = rel_s4 @ X33 @ X35) | ($false = rel_s4 @ X35 @ (sK10 @ (big_r @ sK20) @ (rel_s4 @ X34))) <- {82} [superposition 4577,253] 126.57/124.70 11439. ($false = $true) | ($false != big_r @ sK20 @ (sK10 @ (big_r @ sK20) @ (rel_s4 @ X26))) | ($false = rel_s4 @ (sK10 @ (big_r @ sK20) @ (rel_s4 @ X26)) @ sK22) | ($false = exists_in_world @ sK20 @ (sK10 @ (big_r @ sK20) @ (rel_s4 @ X26))) | ($false = rel_s4 @ sK13 @ (sK10 @ (big_r @ sK20) @ (rel_s4 @ X26))) | rel_s4 @ X26 = big_r @ sK20 <- {82} [superposition 258,4577] 126.57/124.70 11440. ($false = $true) | ($false = rel_s4 @ X34 @ X36) | ($false = rel_s4 @ X36 @ (sK10 @ (big_r @ sK20) @ (rel_s4 @ X35))) | ($false != big_r @ sK20 @ (sK10 @ (big_r @ sK20) @ (rel_s4 @ X35))) | ($false = rel_s4 @ X34 @ sK22) | ($false = exists_in_world @ sK20 @ X34) | ($false = rel_s4 @ sK13 @ X34) | rel_s4 @ X35 = big_r @ sK20 <- {82} [superposition 253,4577] 126.57/124.70 11445. ($false != big_r @ sK20 @ (sK10 @ (big_r @ sK20) @ p)) | ($false = rel_s4 @ X0 @ (sK10 @ (big_r @ sK20) @ p)) | ($false = rel_s4 @ X0 @ sK22) | ($false = exists_in_world @ sK20 @ X0) | ($false = rel_s4 @ sK13 @ X0) | rel_s4 @ sK18 = big_r @ sK20 <- {82, 638} [forward demodulation 11431,8154] 126.57/124.70 11446. p = big_r @ sK20 | ($false != big_r @ sK20 @ (sK10 @ (big_r @ sK20) @ p)) | ($false = rel_s4 @ X0 @ (sK10 @ (big_r @ sK20) @ p)) | ($false = rel_s4 @ X0 @ sK22) | ($false = exists_in_world @ sK20 @ X0) | ($false = rel_s4 @ sK13 @ X0) <- {82, 638} [forward demodulation 11445,8154] 126.57/124.70 11448. 884 <=> ! [X0] : (($false = rel_s4 @ X0 @ (sK10 @ (big_r @ sK20) @ p)) | ($false = rel_s4 @ sK13 @ X0) | ($false = exists_in_world @ sK20 @ X0) | ($false = rel_s4 @ X0 @ sK22)) [avatar definition] 126.57/124.70 11454. 887 <=> ($false != big_r @ sK20 @ (sK10 @ (big_r @ sK20) @ p)) [avatar definition] 126.57/124.70 11460. 888 <=> p = big_r @ sK20 [avatar definition] 126.57/124.70 11461. p = big_r @ sK20 <- {888} [avatar component clause 11460] 126.57/124.70 11462. 884 | ~887 | 888 | ~82 | ~638 [avatar split clause 11446,8153,2077,11460,11454,11448] 126.57/124.70 11464. 890 <=> ! [X25] : (($false != big_r @ sK20 @ (sK10 @ (big_r @ sK20) @ (rel_s4 @ X25))) | rel_s4 @ X25 = big_r @ sK20 | ($false = rel_s4 @ sK13 @ (sK10 @ (big_r @ sK20) @ (rel_s4 @ X25))) | ($false = exists_in_world @ sK20 @ (sK10 @ (big_r @ sK20) @ (rel_s4 @ X25))) | ($false = rel_s4 @ (sK10 @ (big_r @ sK20) @ (rel_s4 @ X25)) @ sK22)) [avatar definition] 126.57/124.70 11466. 890 | 0 | ~82 [avatar split clause 11434,2077,315,11464] 126.57/124.70 11468. 892 <=> ! [X34,X33,X35] : (($false != big_r @ sK20 @ (sK10 @ (big_r @ sK20) @ (rel_s4 @ X34))) | rel_s4 @ X34 = big_r @ sK20 | ($false = rel_s4 @ X33 @ sK22) | ($false = rel_s4 @ X35 @ (sK10 @ (big_r @ sK20) @ (rel_s4 @ X34))) | ($false = rel_s4 @ X33 @ X35) | ($false = rel_s4 @ sK13 @ X33) | ($false = exists_in_world @ sK20 @ X33)) [avatar definition] 126.57/124.70 11470. 892 | 0 | ~82 [avatar split clause 11435,2077,315,11468] 126.57/124.70 11471. 890 | 0 | ~82 [avatar split clause 11439,2077,315,11464] 126.57/124.70 11472. 892 | 0 | ~82 [avatar split clause 11440,2077,315,11468] 126.57/124.70 11474. ($false = p @ (sK10 @ X0 @ (big_q @ X1))) | ($false = exists_in_world @ X1 @ sK18) | ($false != big_q @ X1 @ (sK10 @ X0 @ (big_q @ X1))) | ($false = rel_s4 @ sK13 @ sK18) | big_q @ X1 = X0 | ($false = p @ (sK17 @ (sK10 @ X0 @ (big_q @ X1)))) <- {6, 638} [superposition 9550,8154] 126.57/124.70 11477. ($false = $true) | ($false = exists_in_world @ X77 @ (sK10 @ X76 @ (big_q @ X77))) | ($false != big_q @ X77 @ (sK10 @ X76 @ (big_q @ X77))) | ($false = rel_s4 @ sK13 @ (sK10 @ X76 @ (big_q @ X77))) | big_q @ X77 = X76 | ($false = p @ (sK17 @ (sK10 @ X76 @ (big_q @ X77)))) <- {6} [superposition 9550,258] 126.57/124.70 11478. ($false = $true) | ($false = exists_in_world @ X94 @ X92) | ($false != big_q @ X94 @ (sK10 @ X93 @ (big_q @ X94))) | ($false = rel_s4 @ sK13 @ X92) | big_q @ X94 = X93 | ($false = p @ (sK17 @ (sK10 @ X93 @ (big_q @ X94)))) | ($false = rel_s4 @ X92 @ X95) | ($false = rel_s4 @ X95 @ (sK10 @ X93 @ (big_q @ X94))) <- {6} [superposition 9550,253] 126.57/124.70 11481. ($false = $true) | ($false = exists_in_world @ X79 @ (sK10 @ X78 @ (big_q @ X79))) | ($false != big_q @ X79 @ (sK10 @ X78 @ (big_q @ X79))) | ($false = rel_s4 @ sK13 @ (sK10 @ X78 @ (big_q @ X79))) | big_q @ X79 = X78 | ($false = p @ (sK17 @ (sK10 @ X78 @ (big_q @ X79)))) <- {6} [superposition 258,9550] 126.57/124.70 11482. ($false = $true) | ($false = rel_s4 @ X94 @ X97) | ($false = rel_s4 @ X97 @ (sK10 @ X95 @ (big_q @ X96))) | ($false = exists_in_world @ X96 @ X94) | ($false != big_q @ X96 @ (sK10 @ X95 @ (big_q @ X96))) | ($false = rel_s4 @ sK13 @ X94) | big_q @ X96 = X95 | ($false = p @ (sK17 @ (sK10 @ X95 @ (big_q @ X96)))) <- {6} [superposition 253,9550] 126.57/124.70 11486. 894 <=> ! [X77 : mu,X76 : ($i > $o)] : (($false = exists_in_world @ X77 @ (sK10 @ X76 @ (big_q @ X77))) | ($false = p @ (sK17 @ (sK10 @ X76 @ (big_q @ X77)))) | big_q @ X77 = X76 | ($false = rel_s4 @ sK13 @ (sK10 @ X76 @ (big_q @ X77))) | ($false != big_q @ X77 @ (sK10 @ X76 @ (big_q @ X77)))) [avatar definition] 126.57/124.70 11488. 894 | 0 | ~6 [avatar split clause 11477,368,315,11486] 126.57/124.70 11490. 896 <=> ! [X93 : ($i > $o),X95,X92,X94 : mu] : (($false = exists_in_world @ X94 @ X92) | ($false = rel_s4 @ X95 @ (sK10 @ X93 @ (big_q @ X94))) | ($false = rel_s4 @ X92 @ X95) | ($false = p @ (sK17 @ (sK10 @ X93 @ (big_q @ X94)))) | big_q @ X94 = X93 | ($false = rel_s4 @ sK13 @ X92) | ($false != big_q @ X94 @ (sK10 @ X93 @ (big_q @ X94)))) [avatar definition] 126.57/124.70 11492. 896 | 0 | ~6 [avatar split clause 11478,368,315,11490] 126.57/124.70 11493. 894 | 0 | ~6 [avatar split clause 11481,368,315,11486] 126.57/124.70 11494. 896 | 0 | ~6 [avatar split clause 11482,368,315,11490] 126.57/124.70 11526. ($false = $true) | exists_in_world @ sK20 = X37 | ($false = p @ (sK17 @ X38)) | ($false = rel_s4 @ (sK10 @ X37 @ (exists_in_world @ sK20)) @ sK22) | ($false != X37 @ (sK10 @ X37 @ (exists_in_world @ sK20))) | ($false = rel_s4 @ (sK10 @ X37 @ (exists_in_world @ sK20)) @ X38) | ($false = rel_s4 @ sK13 @ X39) | ($false = rel_s4 @ X39 @ (sK10 @ X37 @ (exists_in_world @ sK20))) <- {142} [superposition 9288,253] 126.57/124.70 11535. ($false = $true) | ($false = rel_s4 @ sK13 @ X54) | ($false = rel_s4 @ X54 @ (sK10 @ X53 @ (exists_in_world @ sK20))) | exists_in_world @ sK20 = X53 | ($false = p @ (sK17 @ X55)) | ($false = rel_s4 @ (sK10 @ X53 @ (exists_in_world @ sK20)) @ sK22) | ($false != X53 @ (sK10 @ X53 @ (exists_in_world @ sK20))) | ($false = rel_s4 @ (sK10 @ X53 @ (exists_in_world @ sK20)) @ X55) <- {142} [superposition 253,9288] 126.57/124.70 11545. 898 <=> ! [X38,X37 : ($i > $o),X39] : (exists_in_world @ sK20 = X37 | ($false = rel_s4 @ sK13 @ X39) | ($false = rel_s4 @ X39 @ (sK10 @ X37 @ (exists_in_world @ sK20))) | ($false = rel_s4 @ (sK10 @ X37 @ (exists_in_world @ sK20)) @ X38) | ($false != X37 @ (sK10 @ X37 @ (exists_in_world @ sK20))) | ($false = rel_s4 @ (sK10 @ X37 @ (exists_in_world @ sK20)) @ sK22) | ($false = p @ (sK17 @ X38))) [avatar definition] 126.57/124.70 11547. 898 | 0 | ~142 [avatar split clause 11526,2383,315,11545] 126.57/124.70 11548. 898 | 0 | ~142 [avatar split clause 11535,2383,315,11545] 126.57/124.70 11552. ($false = $true) | exists_in_world @ sK20 = X44 | ($false = p @ (sK17 @ X45)) | ($false = rel_s4 @ (sK10 @ (exists_in_world @ sK20) @ X44) @ sK22) | ($false != X44 @ (sK10 @ (exists_in_world @ sK20) @ X44)) | ($false = rel_s4 @ (sK10 @ (exists_in_world @ sK20) @ X44) @ X45) | ($false = rel_s4 @ sK13 @ X46) | ($false = rel_s4 @ X46 @ (sK10 @ (exists_in_world @ sK20) @ X44)) <- {142} [superposition 9289,253] 126.57/124.70 11563. ($false = $true) | ($false = rel_s4 @ sK13 @ X67) | ($false = rel_s4 @ X67 @ (sK10 @ (exists_in_world @ sK20) @ X66)) | exists_in_world @ sK20 = X66 | ($false = p @ (sK17 @ X68)) | ($false = rel_s4 @ (sK10 @ (exists_in_world @ sK20) @ X66) @ sK22) | ($false != X66 @ (sK10 @ (exists_in_world @ sK20) @ X66)) | ($false = rel_s4 @ (sK10 @ (exists_in_world @ sK20) @ X66) @ X68) <- {142} [superposition 253,9289] 126.57/124.70 11576. 900 <=> ! [X44 : ($i > $o),X46,X45] : (exists_in_world @ sK20 = X44 | ($false = rel_s4 @ sK13 @ X46) | ($false = rel_s4 @ X46 @ (sK10 @ (exists_in_world @ sK20) @ X44)) | ($false = rel_s4 @ (sK10 @ (exists_in_world @ sK20) @ X44) @ X45) | ($false != X44 @ (sK10 @ (exists_in_world @ sK20) @ X44)) | ($false = rel_s4 @ (sK10 @ (exists_in_world @ sK20) @ X44) @ sK22) | ($false = p @ (sK17 @ X45))) [avatar definition] 126.57/124.70 11578. 900 | 0 | ~142 [avatar split clause 11552,2383,315,11576] 126.57/124.70 11579. 900 | 0 | ~142 [avatar split clause 11563,2383,315,11576] 126.57/124.70 11580. ($false = $true) | ($false = p @ (sK17 @ X11)) | ($true != X10 @ (sK10 @ X10 @ (big_q @ X9))) | ($false = rel_s4 @ sK13 @ (sK10 @ X10 @ (big_q @ X9))) | ($false = rel_s4 @ (sK10 @ X10 @ (big_q @ X9)) @ X11) | big_q @ X9 = X10 | ($true != rel_s4 @ X12 @ (sK10 @ X10 @ (big_q @ X9))) | ($true != exists_in_world @ X9 @ X12) <- {738} [superposition 9504,206] 126.57/124.70 11582. ($false = $true) | ($true != rel_s4 @ X12 @ (sK10 @ X11 @ (big_q @ X10))) | ($true != exists_in_world @ X10 @ X12) | ($false = p @ (sK17 @ X13)) | ($true != X11 @ (sK10 @ X11 @ (big_q @ X10))) | ($false = rel_s4 @ sK13 @ (sK10 @ X11 @ (big_q @ X10))) | ($false = rel_s4 @ (sK10 @ X11 @ (big_q @ X10)) @ X13) | big_q @ X10 = X11 <- {738} [superposition 206,9504] 126.57/124.70 11585. 902 <=> ! [X9 : mu,X11,X10 : ($i > $o),X12] : (($false = p @ (sK17 @ X11)) | ($true != exists_in_world @ X9 @ X12) | ($true != rel_s4 @ X12 @ (sK10 @ X10 @ (big_q @ X9))) | big_q @ X9 = X10 | ($true != X10 @ (sK10 @ X10 @ (big_q @ X9))) | ($false = rel_s4 @ (sK10 @ X10 @ (big_q @ X9)) @ X11) | ($false = rel_s4 @ sK13 @ (sK10 @ X10 @ (big_q @ X9)))) [avatar definition] 126.57/124.70 11587. 902 | 0 | ~738 [avatar split clause 11580,9503,315,11585] 126.57/124.70 11588. 902 | 0 | ~738 [avatar split clause 11582,9503,315,11585] 126.57/124.70 11589. ($false = $true) | ($false = p @ (sK17 @ X15)) | ($true != X14 @ (sK10 @ (big_q @ X13) @ X14)) | ($false = rel_s4 @ sK13 @ (sK10 @ (big_q @ X13) @ X14)) | ($false = rel_s4 @ (sK10 @ (big_q @ X13) @ X14) @ X15) | big_q @ X13 = X14 | ($true != rel_s4 @ X16 @ (sK10 @ (big_q @ X13) @ X14)) | ($true != exists_in_world @ X13 @ X16) <- {742} [superposition 9534,206] 126.57/124.70 11592. ($false = $true) | ($true != rel_s4 @ X18 @ (sK10 @ (big_q @ X16) @ X17)) | ($true != exists_in_world @ X16 @ X18) | ($false = p @ (sK17 @ X19)) | ($true != X17 @ (sK10 @ (big_q @ X16) @ X17)) | ($false = rel_s4 @ sK13 @ (sK10 @ (big_q @ X16) @ X17)) | ($false = rel_s4 @ (sK10 @ (big_q @ X16) @ X17) @ X19) | big_q @ X16 = X17 <- {742} [superposition 206,9534] 126.57/124.70 11596. 904 <=> ! [X16,X13 : mu,X15,X14 : ($i > $o)] : (($false = p @ (sK17 @ X15)) | ($true != exists_in_world @ X13 @ X16) | ($true != rel_s4 @ X16 @ (sK10 @ (big_q @ X13) @ X14)) | big_q @ X13 = X14 | ($true != X14 @ (sK10 @ (big_q @ X13) @ X14)) | ($false = rel_s4 @ (sK10 @ (big_q @ X13) @ X14) @ X15) | ($false = rel_s4 @ sK13 @ (sK10 @ (big_q @ X13) @ X14))) [avatar definition] 126.57/124.70 11598. 904 | 0 | ~742 [avatar split clause 11589,9533,315,11596] 126.57/124.70 11599. 904 | 0 | ~742 [avatar split clause 11592,9533,315,11596] 126.57/124.70 11604. ($false = $true) | big_q @ X100 = X99 | ($false = rel_s4 @ X101 @ X98) | ($false = p @ (sK17 @ X102)) | ($true != X99 @ (sK10 @ X99 @ (big_q @ X100))) | ($false = rel_s4 @ sK13 @ X101) | ($false = rel_s4 @ X101 @ X102) | ($false = exists_in_world @ X100 @ X101) | ($false = rel_s4 @ X98 @ X103) | ($false = rel_s4 @ X103 @ (sK10 @ X99 @ (big_q @ X100))) <- {740} [superposition 9508,253] 126.57/124.70 11608. ($false = $true) | ($false = rel_s4 @ X104 @ X107) | ($false = rel_s4 @ X107 @ (sK10 @ X105 @ (big_q @ X106))) | big_q @ X106 = X105 | ($false = rel_s4 @ X108 @ X104) | ($false = p @ (sK17 @ X109)) | ($true != X105 @ (sK10 @ X105 @ (big_q @ X106))) | ($false = rel_s4 @ sK13 @ X108) | ($false = rel_s4 @ X108 @ X109) | ($false = exists_in_world @ X106 @ X108) <- {740} [superposition 253,9508] 126.57/124.70 11618. 906 <=> ! [X98,X100 : mu,X102,X99 : ($i > $o),X101,X103] : (big_q @ X100 = X99 | ($false = rel_s4 @ X103 @ (sK10 @ X99 @ (big_q @ X100))) | ($false = rel_s4 @ X98 @ X103) | ($false = exists_in_world @ X100 @ X101) | ($true != X99 @ (sK10 @ X99 @ (big_q @ X100))) | ($false = rel_s4 @ X101 @ X98) | ($false = rel_s4 @ X101 @ X102) | ($false = rel_s4 @ sK13 @ X101) | ($false = p @ (sK17 @ X102))) [avatar definition] 126.57/124.70 11620. 906 | 0 | ~740 [avatar split clause 11604,9507,315,11618] 126.57/124.70 11621. 906 | 0 | ~740 [avatar split clause 11608,9507,315,11618] 126.57/124.70 11626. ($false = $true) | big_q @ X146 = X147 | ($false = rel_s4 @ X148 @ X145) | ($false = p @ (sK17 @ X149)) | ($true != X147 @ (sK10 @ (big_q @ X146) @ X147)) | ($false = rel_s4 @ sK13 @ X148) | ($false = rel_s4 @ X148 @ X149) | ($false = exists_in_world @ X146 @ X148) | ($false = rel_s4 @ X145 @ X150) | ($false = rel_s4 @ X150 @ (sK10 @ (big_q @ X146) @ X147)) <- {744} [superposition 9538,253] 126.57/124.70 11634. ($false = $true) | ($false = rel_s4 @ X169 @ X172) | ($false = rel_s4 @ X172 @ (sK10 @ (big_q @ X170) @ X171)) | big_q @ X170 = X171 | ($false = rel_s4 @ X173 @ X169) | ($false = p @ (sK17 @ X174)) | ($true != X171 @ (sK10 @ (big_q @ X170) @ X171)) | ($false = rel_s4 @ sK13 @ X173) | ($false = rel_s4 @ X173 @ X174) | ($false = exists_in_world @ X170 @ X173) <- {744} [superposition 253,9538] 126.57/124.70 11649. 908 <=> ! [X148,X150,X145,X147 : ($i > $o),X149,X146 : mu] : (big_q @ X146 = X147 | ($false = rel_s4 @ X150 @ (sK10 @ (big_q @ X146) @ X147)) | ($false = rel_s4 @ X145 @ X150) | ($false = exists_in_world @ X146 @ X148) | ($true != X147 @ (sK10 @ (big_q @ X146) @ X147)) | ($false = rel_s4 @ X148 @ X145) | ($false = rel_s4 @ X148 @ X149) | ($false = rel_s4 @ sK13 @ X148) | ($false = p @ (sK17 @ X149))) [avatar definition] 126.57/124.70 11651. 908 | 0 | ~744 [avatar split clause 11626,9537,315,11649] 126.57/124.70 11652. 908 | 0 | ~744 [avatar split clause 11634,9537,315,11649] 126.57/124.70 11653. ($false = $true) | ($false = p @ (sK17 @ X14)) | big_q @ X12 = X13 | ($false = rel_s4 @ sK13 @ (sK10 @ X13 @ (big_q @ X12))) | ($false = rel_s4 @ (sK10 @ X13 @ (big_q @ X12)) @ X14) | ($false != big_q @ X12 @ (sK10 @ X13 @ (big_q @ X12))) | ($true != rel_s4 @ X15 @ (sK10 @ X13 @ (big_q @ X12))) | ($true != exists_in_world @ X12 @ X15) <- {746} [superposition 9556,206] 126.57/124.70 11655. ($false = $true) | ($true != rel_s4 @ X15 @ (sK10 @ X14 @ (big_q @ X13))) | ($true != exists_in_world @ X13 @ X15) | ($false = p @ (sK17 @ X16)) | big_q @ X13 = X14 | ($false = rel_s4 @ sK13 @ (sK10 @ X14 @ (big_q @ X13))) | ($false = rel_s4 @ (sK10 @ X14 @ (big_q @ X13)) @ X16) | ($false != big_q @ X13 @ (sK10 @ X14 @ (big_q @ X13))) <- {746} [superposition 206,9556] 126.57/124.70 11658. 910 <=> ! [X13 : ($i > $o),X15,X12 : mu,X14] : (($false = p @ (sK17 @ X14)) | ($true != exists_in_world @ X12 @ X15) | ($true != rel_s4 @ X15 @ (sK10 @ X13 @ (big_q @ X12))) | ($false != big_q @ X12 @ (sK10 @ X13 @ (big_q @ X12))) | big_q @ X12 = X13 | ($false = rel_s4 @ (sK10 @ X13 @ (big_q @ X12)) @ X14) | ($false = rel_s4 @ sK13 @ (sK10 @ X13 @ (big_q @ X12)))) [avatar definition] 126.57/124.70 11660. 910 | 0 | ~746 [avatar split clause 11653,9555,315,11658] 126.57/124.70 11661. 910 | 0 | ~746 [avatar split clause 11655,9555,315,11658] 126.57/124.70 11662. ($false = p @ (sK10 @ (big_r @ X0) @ (big_q @ X0))) | ($true != big_q @ X0 @ (sK10 @ (big_r @ X0) @ (big_q @ X0))) | ($true != big_r @ X0 @ (sK10 @ (big_r @ X0) @ (big_q @ X0))) | big_r @ X0 = big_q @ X0 | ($false = rel_s4 @ sK13 @ sK18) | ($false = exists_in_world @ X0 @ sK18) <- {366, 638} [superposition 4669,8154] 126.57/124.70 11665. ($false = rel_s4 @ X0 @ (sK10 @ p @ (big_q @ sK20))) | ($true != big_q @ sK20 @ (sK10 @ (big_r @ sK20) @ (big_q @ sK20))) | ($true != big_r @ sK20 @ (sK10 @ (big_r @ sK20) @ (big_q @ sK20))) | big_r @ sK20 = big_q @ sK20 | ($false = rel_s4 @ sK13 @ X0) | ($false = exists_in_world @ sK20 @ X0) <- {366, 888} [superposition 4669,11461] 126.57/124.70 11666. ($false = $true) | ($true != big_q @ X21 @ (sK10 @ (big_r @ X21) @ (big_q @ X21))) | ($true != big_r @ X21 @ (sK10 @ (big_r @ X21) @ (big_q @ X21))) | big_r @ X21 = big_q @ X21 | ($false = rel_s4 @ sK13 @ (sK10 @ (big_r @ X21) @ (big_q @ X21))) | ($false = exists_in_world @ X21 @ (sK10 @ (big_r @ X21) @ (big_q @ X21))) <- {366} [superposition 4669,258] 126.57/124.70 11667. ($false = $true) | ($true != big_q @ X30 @ (sK10 @ (big_r @ X30) @ (big_q @ X30))) | ($true != big_r @ X30 @ (sK10 @ (big_r @ X30) @ (big_q @ X30))) | big_r @ X30 = big_q @ X30 | ($false = rel_s4 @ sK13 @ X29) | ($false = exists_in_world @ X30 @ X29) | ($false = rel_s4 @ X29 @ X31) | ($false = rel_s4 @ X31 @ (sK10 @ (big_r @ X30) @ (big_q @ X30))) <- {366} [superposition 4669,253] 126.57/124.70 11668. ($false = $true) | ($true != big_q @ X19 @ (sK10 @ (big_r @ X19) @ (big_q @ X19))) | ($true != big_r @ X19 @ (sK10 @ (big_r @ X19) @ (big_q @ X19))) | big_r @ X19 = big_q @ X19 | ($false = rel_s4 @ sK13 @ (sK10 @ (big_r @ X19) @ (big_q @ X19))) | ($false = exists_in_world @ X19 @ (sK10 @ (big_r @ X19) @ (big_q @ X19))) <- {366} [superposition 258,4669] 126.57/124.70 11669. ($false = $true) | ($false = rel_s4 @ X27 @ X29) | ($false = rel_s4 @ X29 @ (sK10 @ (big_r @ X28) @ (big_q @ X28))) | ($true != big_q @ X28 @ (sK10 @ (big_r @ X28) @ (big_q @ X28))) | ($true != big_r @ X28 @ (sK10 @ (big_r @ X28) @ (big_q @ X28))) | big_r @ X28 = big_q @ X28 | ($false = rel_s4 @ sK13 @ X27) | ($false = exists_in_world @ X28 @ X27) <- {366} [superposition 253,4669] 126.57/124.70 11670. ($false = $true) | ($false = p @ (sK10 @ (big_r @ X0) @ (big_q @ X0))) | ($true != big_q @ X0 @ (sK10 @ (big_r @ X0) @ (big_q @ X0))) | ($true != big_r @ X0 @ (sK10 @ (big_r @ X0) @ (big_q @ X0))) | big_r @ X0 = big_q @ X0 | ($false = exists_in_world @ X0 @ sK18) <- {34, 366, 638} [forward demodulation 11662,839] 126.57/124.70 11672. 912 <=> ! [X0 : mu] : (($false = p @ (sK10 @ (big_r @ X0) @ (big_q @ X0))) | ($false = exists_in_world @ X0 @ sK18) | big_r @ X0 = big_q @ X0 | ($true != big_r @ X0 @ (sK10 @ (big_r @ X0) @ (big_q @ X0))) | ($true != big_q @ X0 @ (sK10 @ (big_r @ X0) @ (big_q @ X0)))) [avatar definition] 126.57/124.70 11674. 912 | 0 | ~34 | ~366 | ~638 [avatar split clause 11670,8153,4668,838,315,11672] 126.57/124.70 11675. ($true != big_q @ sK20 @ (sK10 @ p @ (big_q @ sK20))) | ($false = rel_s4 @ X0 @ (sK10 @ p @ (big_q @ sK20))) | ($true != big_r @ sK20 @ (sK10 @ (big_r @ sK20) @ (big_q @ sK20))) | big_r @ sK20 = big_q @ sK20 | ($false = rel_s4 @ sK13 @ X0) | ($false = exists_in_world @ sK20 @ X0) <- {366, 888} [forward demodulation 11665,11461] 126.57/124.70 11676. ($true != p @ (sK10 @ p @ (big_q @ sK20))) | ($true != big_q @ sK20 @ (sK10 @ p @ (big_q @ sK20))) | ($false = rel_s4 @ X0 @ (sK10 @ p @ (big_q @ sK20))) | big_r @ sK20 = big_q @ sK20 | ($false = rel_s4 @ sK13 @ X0) | ($false = exists_in_world @ sK20 @ X0) <- {366, 888} [forward demodulation 11675,11461] 126.57/124.70 11677. p = big_q @ sK20 | ($true != p @ (sK10 @ p @ (big_q @ sK20))) | ($true != big_q @ sK20 @ (sK10 @ p @ (big_q @ sK20))) | ($false = rel_s4 @ X0 @ (sK10 @ p @ (big_q @ sK20))) | ($false = rel_s4 @ sK13 @ X0) | ($false = exists_in_world @ sK20 @ X0) <- {366, 888} [forward demodulation 11676,11461] 126.57/124.70 11679. 914 <=> ! [X0] : (($false = rel_s4 @ X0 @ (sK10 @ p @ (big_q @ sK20))) | ($false = exists_in_world @ sK20 @ X0) | ($false = rel_s4 @ sK13 @ X0)) [avatar definition] 126.57/124.70 11685. 917 <=> ($true != big_q @ sK20 @ (sK10 @ p @ (big_q @ sK20))) [avatar definition] 126.57/124.70 11691. 919 <=> ($true != p @ (sK10 @ p @ (big_q @ sK20))) [avatar definition] 126.57/124.70 11694. 921 <=> p != big_q @ sK20 [avatar definition] 126.57/124.70 11695. p != big_q @ sK20 <- {921} [avatar component clause 11694] 126.57/124.70 11697. 920 <=> p = big_q @ sK20 [avatar definition] 126.57/124.70 11699. 914 | ~917 | ~919 | 920 | ~366 | ~888 [avatar split clause 11677,11460,4668,11697,11691,11685,11679] 126.57/124.70 11701. 922 <=> ! [X21 : mu] : (($true != big_q @ X21 @ (sK10 @ (big_r @ X21) @ (big_q @ X21))) | ($false = exists_in_world @ X21 @ (sK10 @ (big_r @ X21) @ (big_q @ X21))) | ($false = rel_s4 @ sK13 @ (sK10 @ (big_r @ X21) @ (big_q @ X21))) | big_r @ X21 = big_q @ X21 | ($true != big_r @ X21 @ (sK10 @ (big_r @ X21) @ (big_q @ X21)))) [avatar definition] 126.57/124.70 11703. 922 | 0 | ~366 [avatar split clause 11666,4668,315,11701] 126.57/124.70 11705. 924 <=> ! [X29,X31,X30 : mu] : (($true != big_q @ X30 @ (sK10 @ (big_r @ X30) @ (big_q @ X30))) | ($false = rel_s4 @ X31 @ (sK10 @ (big_r @ X30) @ (big_q @ X30))) | ($false = rel_s4 @ X29 @ X31) | ($false = exists_in_world @ X30 @ X29) | ($false = rel_s4 @ sK13 @ X29) | big_r @ X30 = big_q @ X30 | ($true != big_r @ X30 @ (sK10 @ (big_r @ X30) @ (big_q @ X30)))) [avatar definition] 126.57/124.70 11707. 924 | 0 | ~366 [avatar split clause 11667,4668,315,11705] 126.57/124.70 11708. 922 | 0 | ~366 [avatar split clause 11668,4668,315,11701] 126.57/124.70 11709. 924 | 0 | ~366 [avatar split clause 11669,4668,315,11705] 126.57/124.70 11710. (p @ (sK10 @ (big_q @ sK20) @ p) != big_q @ sK20 @ (sK10 @ (big_q @ sK20) @ p)) <- {921} [unit resulting resolution 11695,171] 126.57/124.70 11711. (p @ (sK10 @ p @ (big_q @ sK20)) != big_q @ sK20 @ (sK10 @ p @ (big_q @ sK20))) <- {921} [unit resulting resolution 11695,171] 126.57/124.70 11716. 927 <=> (p @ (sK10 @ p @ (big_q @ sK20)) != big_q @ sK20 @ (sK10 @ p @ (big_q @ sK20))) [avatar definition] 126.57/124.70 11718. ~927 | 921 [avatar split clause 11711,11694,11716] 126.57/124.70 11723. 929 <=> (p @ (sK10 @ (big_q @ sK20) @ p) != big_q @ sK20 @ (sK10 @ (big_q @ sK20) @ p)) [avatar definition] 126.57/124.70 11725. ~929 | 921 [avatar split clause 11710,11694,11723] 126.57/124.70 11731. ($false = $true) | ($true != exists_in_world @ sK20 @ X23) | ($false = p @ (sK17 @ X24)) | ($false = rel_s4 @ (sK10 @ (rel_s4 @ X23) @ (exists_in_world @ sK20)) @ sK22) | rel_s4 @ X23 = exists_in_world @ sK20 | ($false = rel_s4 @ (sK10 @ (rel_s4 @ X23) @ (exists_in_world @ sK20)) @ X24) | ($false = rel_s4 @ sK13 @ X25) | ($false = rel_s4 @ X25 @ (sK10 @ (rel_s4 @ X23) @ (exists_in_world @ sK20))) <- {142} [superposition 9296,253] 126.57/124.70 11738. ($false = $true) | ($false = rel_s4 @ sK13 @ X36) | ($false = rel_s4 @ X36 @ (sK10 @ (rel_s4 @ X35) @ (exists_in_world @ sK20))) | ($true != exists_in_world @ sK20 @ X35) | ($false = p @ (sK17 @ X37)) | ($false = rel_s4 @ (sK10 @ (rel_s4 @ X35) @ (exists_in_world @ sK20)) @ sK22) | rel_s4 @ X35 = exists_in_world @ sK20 | ($false = rel_s4 @ (sK10 @ (rel_s4 @ X35) @ (exists_in_world @ sK20)) @ X37) <- {142} [superposition 253,9296] 126.57/124.70 11747. 930 <=> ! [X25,X23,X24] : (($true != exists_in_world @ sK20 @ X23) | ($false = rel_s4 @ sK13 @ X25) | ($false = rel_s4 @ X25 @ (sK10 @ (rel_s4 @ X23) @ (exists_in_world @ sK20))) | ($false = rel_s4 @ (sK10 @ (rel_s4 @ X23) @ (exists_in_world @ sK20)) @ X24) | rel_s4 @ X23 = exists_in_world @ sK20 | ($false = rel_s4 @ (sK10 @ (rel_s4 @ X23) @ (exists_in_world @ sK20)) @ sK22) | ($false = p @ (sK17 @ X24))) [avatar definition] 126.57/124.70 11749. 930 | 0 | ~142 [avatar split clause 11731,2383,315,11747] 126.57/124.70 11750. 930 | 0 | ~142 [avatar split clause 11738,2383,315,11747] 126.57/124.70 11756. ($false = $true) | ($true != exists_in_world @ sK20 @ X25) | ($false = p @ (sK17 @ X26)) | ($false = rel_s4 @ (sK10 @ (exists_in_world @ sK20) @ (rel_s4 @ X25)) @ sK22) | rel_s4 @ X25 = exists_in_world @ sK20 | ($false = rel_s4 @ (sK10 @ (exists_in_world @ sK20) @ (rel_s4 @ X25)) @ X26) | ($false = rel_s4 @ sK13 @ X27) | ($false = rel_s4 @ X27 @ (sK10 @ (exists_in_world @ sK20) @ (rel_s4 @ X25))) <- {142} [superposition 9300,253] 126.57/124.70 11764. ($false = $true) | ($false = rel_s4 @ sK13 @ X42) | ($false = rel_s4 @ X42 @ (sK10 @ (exists_in_world @ sK20) @ (rel_s4 @ X41))) | ($true != exists_in_world @ sK20 @ X41) | ($false = p @ (sK17 @ X43)) | ($false = rel_s4 @ (sK10 @ (exists_in_world @ sK20) @ (rel_s4 @ X41)) @ sK22) | rel_s4 @ X41 = exists_in_world @ sK20 | ($false = rel_s4 @ (sK10 @ (exists_in_world @ sK20) @ (rel_s4 @ X41)) @ X43) <- {142} [superposition 253,9300] 126.57/124.70 11775. 932 <=> ! [X25,X27,X26] : (($true != exists_in_world @ sK20 @ X25) | ($false = rel_s4 @ sK13 @ X27) | ($false = rel_s4 @ X27 @ (sK10 @ (exists_in_world @ sK20) @ (rel_s4 @ X25))) | ($false = rel_s4 @ (sK10 @ (exists_in_world @ sK20) @ (rel_s4 @ X25)) @ X26) | rel_s4 @ X25 = exists_in_world @ sK20 | ($false = rel_s4 @ (sK10 @ (exists_in_world @ sK20) @ (rel_s4 @ X25)) @ sK22) | ($false = p @ (sK17 @ X26))) [avatar definition] 126.57/124.70 11777. 932 | 0 | ~142 [avatar split clause 11756,2383,315,11775] 126.57/124.70 11778. 932 | 0 | ~142 [avatar split clause 11764,2383,315,11775] 126.57/124.70 11783. ($false = $true) | ($false != big_q @ X108 @ (sK10 @ X107 @ (big_q @ X108))) | ($false = rel_s4 @ X109 @ X106) | ($false = p @ (sK17 @ X110)) | big_q @ X108 = X107 | ($false = rel_s4 @ sK13 @ X109) | ($false = rel_s4 @ X109 @ X110) | ($false = exists_in_world @ X108 @ X109) | ($false = rel_s4 @ X106 @ X111) | ($false = rel_s4 @ X111 @ (sK10 @ X107 @ (big_q @ X108))) <- {748} [superposition 9560,253] 126.57/124.70 11787. ($false = $true) | ($false = rel_s4 @ X112 @ X115) | ($false = rel_s4 @ X115 @ (sK10 @ X113 @ (big_q @ X114))) | ($false != big_q @ X114 @ (sK10 @ X113 @ (big_q @ X114))) | ($false = rel_s4 @ X116 @ X112) | ($false = p @ (sK17 @ X117)) | big_q @ X114 = X113 | ($false = rel_s4 @ sK13 @ X116) | ($false = rel_s4 @ X116 @ X117) | ($false = exists_in_world @ X114 @ X116) <- {748} [superposition 253,9560] 126.57/124.70 11797. 934 <=> ! [X106,X108 : mu,X110,X107 : ($i > $o),X109,X111] : (($false != big_q @ X108 @ (sK10 @ X107 @ (big_q @ X108))) | ($false = rel_s4 @ X111 @ (sK10 @ X107 @ (big_q @ X108))) | ($false = rel_s4 @ X106 @ X111) | ($false = exists_in_world @ X108 @ X109) | big_q @ X108 = X107 | ($false = rel_s4 @ X109 @ X106) | ($false = rel_s4 @ X109 @ X110) | ($false = rel_s4 @ sK13 @ X109) | ($false = p @ (sK17 @ X110))) [avatar definition] 126.57/124.70 11799. 934 | 0 | ~748 [avatar split clause 11783,9559,315,11797] 126.57/124.70 11800. 934 | 0 | ~748 [avatar split clause 11787,9559,315,11797] 126.57/124.70 11801. ($false = p @ (sK10 @ (big_q @ X0) @ (exists_in_world @ X1))) | ($false = exists_in_world @ X0 @ sK18) | ($false != big_q @ X0 @ (sK10 @ (big_q @ X0) @ (exists_in_world @ X1))) | ($false = rel_s4 @ sK13 @ sK18) | exists_in_world @ X1 = big_q @ X0 | ($false = p @ (sK17 @ (sK10 @ (big_q @ X0) @ (exists_in_world @ X1)))) <- {6, 638} [superposition 9572,8154] 126.57/124.70 11804. ($false = $true) | ($false = exists_in_world @ X58 @ (sK10 @ (big_q @ X58) @ (exists_in_world @ X59))) | ($false != big_q @ X58 @ (sK10 @ (big_q @ X58) @ (exists_in_world @ X59))) | ($false = rel_s4 @ sK13 @ (sK10 @ (big_q @ X58) @ (exists_in_world @ X59))) | exists_in_world @ X59 = big_q @ X58 | ($false = p @ (sK17 @ (sK10 @ (big_q @ X58) @ (exists_in_world @ X59)))) <- {6} [superposition 9572,258] 126.57/124.70 11805. ($false = $true) | ($false = exists_in_world @ X75 @ X74) | ($false != big_q @ X75 @ (sK10 @ (big_q @ X75) @ (exists_in_world @ X76))) | ($false = rel_s4 @ sK13 @ X74) | exists_in_world @ X76 = big_q @ X75 | ($false = p @ (sK17 @ (sK10 @ (big_q @ X75) @ (exists_in_world @ X76)))) | ($false = rel_s4 @ X74 @ X77) | ($false = rel_s4 @ X77 @ (sK10 @ (big_q @ X75) @ (exists_in_world @ X76))) <- {6} [superposition 9572,253] 126.57/124.70 11808. ($false = $true) | ($false = exists_in_world @ X61 @ (sK10 @ (big_q @ X61) @ (exists_in_world @ X62))) | ($false != big_q @ X61 @ (sK10 @ (big_q @ X61) @ (exists_in_world @ X62))) | ($false = rel_s4 @ sK13 @ (sK10 @ (big_q @ X61) @ (exists_in_world @ X62))) | exists_in_world @ X62 = big_q @ X61 | ($false = p @ (sK17 @ (sK10 @ (big_q @ X61) @ (exists_in_world @ X62)))) <- {6} [superposition 258,9572] 126.57/124.70 11809. ($false = $true) | ($false = rel_s4 @ X77 @ X80) | ($false = rel_s4 @ X80 @ (sK10 @ (big_q @ X78) @ (exists_in_world @ X79))) | ($false = exists_in_world @ X78 @ X77) | ($false != big_q @ X78 @ (sK10 @ (big_q @ X78) @ (exists_in_world @ X79))) | ($false = rel_s4 @ sK13 @ X77) | exists_in_world @ X79 = big_q @ X78 | ($false = p @ (sK17 @ (sK10 @ (big_q @ X78) @ (exists_in_world @ X79)))) <- {6} [superposition 253,9572] 126.57/124.70 11813. 936 <=> ! [X58 : mu,X59 : mu] : (($false = exists_in_world @ X58 @ (sK10 @ (big_q @ X58) @ (exists_in_world @ X59))) | ($false = p @ (sK17 @ (sK10 @ (big_q @ X58) @ (exists_in_world @ X59)))) | exists_in_world @ X59 = big_q @ X58 | ($false = rel_s4 @ sK13 @ (sK10 @ (big_q @ X58) @ (exists_in_world @ X59))) | ($false != big_q @ X58 @ (sK10 @ (big_q @ X58) @ (exists_in_world @ X59)))) [avatar definition] 126.57/124.70 11815. 936 | 0 | ~6 [avatar split clause 11804,368,315,11813] 126.57/124.70 11817. 938 <=> ! [X75 : mu,X77,X74,X76 : mu] : (($false = exists_in_world @ X75 @ X74) | ($false = rel_s4 @ X77 @ (sK10 @ (big_q @ X75) @ (exists_in_world @ X76))) | ($false = rel_s4 @ X74 @ X77) | ($false = p @ (sK17 @ (sK10 @ (big_q @ X75) @ (exists_in_world @ X76)))) | exists_in_world @ X76 = big_q @ X75 | ($false = rel_s4 @ sK13 @ X74) | ($false != big_q @ X75 @ (sK10 @ (big_q @ X75) @ (exists_in_world @ X76)))) [avatar definition] 126.57/124.70 11819. 938 | 0 | ~6 [avatar split clause 11805,368,315,11817] 126.57/124.70 11820. 936 | 0 | ~6 [avatar split clause 11808,368,315,11813] 126.57/124.70 11821. 938 | 0 | ~6 [avatar split clause 11809,368,315,11817] 126.57/124.70 11822. ($false = p @ (sK10 @ (big_q @ X0) @ (rel_s4 @ X1))) | ($false = exists_in_world @ X0 @ sK18) | ($false != big_q @ X0 @ (sK10 @ (big_q @ X0) @ (rel_s4 @ X1))) | ($false = rel_s4 @ sK13 @ sK18) | rel_s4 @ X1 = big_q @ X0 | ($false = p @ (sK17 @ (sK10 @ (big_q @ X0) @ (rel_s4 @ X1)))) <- {6, 638} [superposition 9596,8154] 126.57/124.70 11828. ($false = $true) | ($false = exists_in_world @ X59 @ (sK10 @ (big_q @ X59) @ (rel_s4 @ X60))) | ($false != big_q @ X59 @ (sK10 @ (big_q @ X59) @ (rel_s4 @ X60))) | ($false = rel_s4 @ sK13 @ (sK10 @ (big_q @ X59) @ (rel_s4 @ X60))) | rel_s4 @ X60 = big_q @ X59 | ($false = p @ (sK17 @ (sK10 @ (big_q @ X59) @ (rel_s4 @ X60)))) <- {6} [superposition 9596,258] 126.57/124.70 11829. ($false = $true) | ($false = exists_in_world @ X76 @ X75) | ($false != big_q @ X76 @ (sK10 @ (big_q @ X76) @ (rel_s4 @ X77))) | ($false = rel_s4 @ sK13 @ X75) | rel_s4 @ X77 = big_q @ X76 | ($false = p @ (sK17 @ (sK10 @ (big_q @ X76) @ (rel_s4 @ X77)))) | ($false = rel_s4 @ X75 @ X78) | ($false = rel_s4 @ X78 @ (sK10 @ (big_q @ X76) @ (rel_s4 @ X77))) <- {6} [superposition 9596,253] 126.57/124.70 11834. ($false = $true) | ($false = exists_in_world @ X65 @ (sK10 @ (big_q @ X65) @ (rel_s4 @ X66))) | ($false != big_q @ X65 @ (sK10 @ (big_q @ X65) @ (rel_s4 @ X66))) | ($false = rel_s4 @ sK13 @ (sK10 @ (big_q @ X65) @ (rel_s4 @ X66))) | rel_s4 @ X66 = big_q @ X65 | ($false = p @ (sK17 @ (sK10 @ (big_q @ X65) @ (rel_s4 @ X66)))) <- {6} [superposition 258,9596] 126.57/124.70 11835. ($false = $true) | ($false = rel_s4 @ X81 @ X84) | ($false = rel_s4 @ X84 @ (sK10 @ (big_q @ X82) @ (rel_s4 @ X83))) | ($false = exists_in_world @ X82 @ X81) | ($false != big_q @ X82 @ (sK10 @ (big_q @ X82) @ (rel_s4 @ X83))) | ($false = rel_s4 @ sK13 @ X81) | rel_s4 @ X83 = big_q @ X82 | ($false = p @ (sK17 @ (sK10 @ (big_q @ X82) @ (rel_s4 @ X83)))) <- {6} [superposition 253,9596] 126.57/124.70 11845. 940 <=> ! [X60,X59 : mu] : (($false = exists_in_world @ X59 @ (sK10 @ (big_q @ X59) @ (rel_s4 @ X60))) | ($false = p @ (sK17 @ (sK10 @ (big_q @ X59) @ (rel_s4 @ X60)))) | rel_s4 @ X60 = big_q @ X59 | ($false = rel_s4 @ sK13 @ (sK10 @ (big_q @ X59) @ (rel_s4 @ X60))) | ($false != big_q @ X59 @ (sK10 @ (big_q @ X59) @ (rel_s4 @ X60)))) [avatar definition] 126.57/124.70 11847. 940 | 0 | ~6 [avatar split clause 11828,368,315,11845] 126.57/124.70 11849. 942 <=> ! [X75,X77,X76 : mu,X78] : (($false = exists_in_world @ X76 @ X75) | ($false = rel_s4 @ X78 @ (sK10 @ (big_q @ X76) @ (rel_s4 @ X77))) | ($false = rel_s4 @ X75 @ X78) | ($false = p @ (sK17 @ (sK10 @ (big_q @ X76) @ (rel_s4 @ X77)))) | rel_s4 @ X77 = big_q @ X76 | ($false = rel_s4 @ sK13 @ X75) | ($false != big_q @ X76 @ (sK10 @ (big_q @ X76) @ (rel_s4 @ X77)))) [avatar definition] 126.57/124.70 11851. 942 | 0 | ~6 [avatar split clause 11829,368,315,11849] 126.57/124.70 11852. 940 | 0 | ~6 [avatar split clause 11834,368,315,11845] 126.57/124.70 11853. 942 | 0 | ~6 [avatar split clause 11835,368,315,11849] 126.57/124.70 11856. ($false = $true) | ($true != exists_in_world @ X67 @ X68) | ($true != rel_s4 @ X68 @ (sK10 @ X66 @ (big_q @ X67))) | big_q @ X67 = X66 | ($false = rel_s4 @ (sK10 @ X66 @ (big_q @ X67)) @ X69) | ($true != X66 @ (sK10 @ X66 @ (big_q @ X67))) | ($true = big_r @ X67 @ X69) | ($false = rel_s4 @ sK13 @ X70) | ($false = rel_s4 @ X70 @ (sK10 @ X66 @ (big_q @ X67))) <- {382} [superposition 4778,253] 126.57/124.70 11858. ($false = $true) | ($false = rel_s4 @ sK13 @ X71) | ($false = rel_s4 @ X71 @ (sK10 @ X69 @ (big_q @ X70))) | ($true != exists_in_world @ X70 @ X72) | ($true != rel_s4 @ X72 @ (sK10 @ X69 @ (big_q @ X70))) | big_q @ X70 = X69 | ($false = rel_s4 @ (sK10 @ X69 @ (big_q @ X70)) @ X73) | ($true != X69 @ (sK10 @ X69 @ (big_q @ X70))) | ($true = big_r @ X70 @ X73) <- {382} [superposition 253,4778] 126.57/124.70 11861. 944 <=> ! [X67 : mu,X69,X66 : ($i > $o),X68,X70] : (($true != exists_in_world @ X67 @ X68) | ($false = rel_s4 @ X70 @ (sK10 @ X66 @ (big_q @ X67))) | ($false = rel_s4 @ sK13 @ X70) | ($true = big_r @ X67 @ X69) | ($true != X66 @ (sK10 @ X66 @ (big_q @ X67))) | ($false = rel_s4 @ (sK10 @ X66 @ (big_q @ X67)) @ X69) | big_q @ X67 = X66 | ($true != rel_s4 @ X68 @ (sK10 @ X66 @ (big_q @ X67)))) [avatar definition] 126.57/124.70 11863. 944 | 0 | ~382 [avatar split clause 11856,4777,315,11861] 126.57/124.70 11864. 944 | 0 | ~382 [avatar split clause 11858,4777,315,11861] 126.57/124.70 11867. ($false = $true) | ($true != exists_in_world @ X100 @ X102) | ($true != rel_s4 @ X102 @ (sK10 @ (big_q @ X100) @ X101)) | big_q @ X100 = X101 | ($false = rel_s4 @ (sK10 @ (big_q @ X100) @ X101) @ X103) | ($true != X101 @ (sK10 @ (big_q @ X100) @ X101)) | ($true = big_r @ X100 @ X103) | ($false = rel_s4 @ sK13 @ X104) | ($false = rel_s4 @ X104 @ (sK10 @ (big_q @ X100) @ X101)) <- {384} [superposition 4790,253] 126.57/124.70 11873. ($false = $true) | ($false = rel_s4 @ sK13 @ X119) | ($false = rel_s4 @ X119 @ (sK10 @ (big_q @ X117) @ X118)) | ($true != exists_in_world @ X117 @ X120) | ($true != rel_s4 @ X120 @ (sK10 @ (big_q @ X117) @ X118)) | big_q @ X117 = X118 | ($false = rel_s4 @ (sK10 @ (big_q @ X117) @ X118) @ X121) | ($true != X118 @ (sK10 @ (big_q @ X117) @ X118)) | ($true = big_r @ X117 @ X121) <- {384} [superposition 253,4790] 126.57/124.70 11881. 946 <=> ! [X104,X100 : mu,X102,X101 : ($i > $o),X103] : (($true != exists_in_world @ X100 @ X102) | ($false = rel_s4 @ X104 @ (sK10 @ (big_q @ X100) @ X101)) | ($false = rel_s4 @ sK13 @ X104) | ($true = big_r @ X100 @ X103) | ($true != X101 @ (sK10 @ (big_q @ X100) @ X101)) | ($false = rel_s4 @ (sK10 @ (big_q @ X100) @ X101) @ X103) | big_q @ X100 = X101 | ($true != rel_s4 @ X102 @ (sK10 @ (big_q @ X100) @ X101))) [avatar definition] 126.57/124.70 11883. 946 | 0 | ~384 [avatar split clause 11867,4789,315,11881] 126.57/124.70 11884. 946 | 0 | ~384 [avatar split clause 11873,4789,315,11881] 126.57/124.70 12107. ($true = rel_s4 @ X1225 @ sK13) | ($false = rel_s4 @ sK12 @ X1226) | ($false = rel_s4 @ X1226 @ X1225) | ($false = rel_s4 @ X1225 @ sK12) <- {4} [superposition 362,5075] 126.57/124.70 12141. ($true = rel_s4 @ X1326 @ sK23) | ($false = rel_s4 @ sK18 @ X1327) | ($false = rel_s4 @ X1327 @ X1326) | ($false = rel_s4 @ X1326 @ sK18) <- {92} [superposition 2125,5075] 126.57/124.70 12146. ($true = rel_s4 @ X1337 @ sK29) | ($false = rel_s4 @ sK18 @ X1338) | ($false = rel_s4 @ X1338 @ X1337) | ($false = rel_s4 @ X1337 @ sK18) <- {286} [superposition 4253,5075] 126.57/124.70 12147. ($true = rel_s4 @ X1339 @ sK31) | ($false = rel_s4 @ sK18 @ X1340) | ($false = rel_s4 @ X1340 @ X1339) | ($false = rel_s4 @ X1339 @ sK18) <- {314} [superposition 4349,5075] 126.57/124.70 12149. ($false = rel_s4 @ sK18 @ X1344) | ($false != rel_s4 @ X1343 @ sK23) | ($false = rel_s4 @ X1344 @ X1343) | ($false = rel_s4 @ X1343 @ sK18) <- {335} [superposition 4444,5075] 126.57/124.70 12165. ($true = rel_s4 @ X1391 @ sK22) | ($false = rel_s4 @ sK19 @ X1392) | ($false = rel_s4 @ X1392 @ X1391) | ($false = rel_s4 @ X1391 @ sK19) <- {74} [superposition 2057,5075] 126.57/124.70 12172. ($true = rel_s4 @ X1409 @ sK28) | ($false = rel_s4 @ sK19 @ X1410) | ($false = rel_s4 @ X1410 @ X1409) | ($false = rel_s4 @ X1409 @ sK19) <- {270} [superposition 4196,5075] 126.57/124.70 12173. ($true = rel_s4 @ X1411 @ sK30) | ($false = rel_s4 @ sK19 @ X1412) | ($false = rel_s4 @ X1412 @ X1411) | ($false = rel_s4 @ X1411 @ sK19) <- {300} [superposition 4301,5075] 126.57/124.70 12177. ($false = rel_s4 @ sK19 @ X1423) | ($false != rel_s4 @ X1422 @ sK22) | ($false = rel_s4 @ X1423 @ X1422) | ($false = rel_s4 @ X1422 @ sK19) <- {727} [superposition 9310,5075] 126.57/124.70 12397. ($true = rel_s4 @ X1225 @ sK13) | ($false = rel_s4 @ X1225 @ X1226) | ($false = rel_s4 @ X1226 @ sK12) | ($false = rel_s4 @ sK12 @ X1225) <- {4} [superposition 362,5075] 126.57/124.70 12409. ($false = rel_s4 @ sK13 @ X1250) | ($false = rel_s4 @ X1250 @ X1251) | ($false = rel_s4 @ X1251 @ sK13) | ($false != rel_s4 @ X1250 @ sK13) <- {129} [superposition 2286,5075] 126.57/124.70 12431. ($true = rel_s4 @ X1326 @ sK23) | ($false = rel_s4 @ X1326 @ X1327) | ($false = rel_s4 @ X1327 @ sK18) | ($false = rel_s4 @ sK18 @ X1326) <- {92} [superposition 2125,5075] 126.57/124.70 12437. ($true = rel_s4 @ X1339 @ sK31) | ($false = rel_s4 @ X1339 @ X1340) | ($false = rel_s4 @ X1340 @ sK18) | ($false = rel_s4 @ sK18 @ X1339) <- {314} [superposition 4349,5075] 126.57/124.70 12439. ($false = rel_s4 @ sK18 @ X1343) | ($false = rel_s4 @ X1343 @ X1344) | ($false = rel_s4 @ X1344 @ sK18) | ($false != rel_s4 @ X1343 @ sK23) <- {335} [superposition 4444,5075] 126.57/124.70 12463. ($true = rel_s4 @ X1411 @ sK30) | ($false = rel_s4 @ X1411 @ X1412) | ($false = rel_s4 @ X1412 @ sK19) | ($false = rel_s4 @ sK19 @ X1411) <- {300} [superposition 4301,5075] 126.57/124.70 12467. ($false = rel_s4 @ sK19 @ X1422) | ($false = rel_s4 @ X1422 @ X1423) | ($false = rel_s4 @ X1423 @ sK19) | ($false != rel_s4 @ X1422 @ sK22) <- {727} [superposition 9310,5075] 126.57/124.70 12649. ($false = $true) | big_q @ X116 = X115 | ($false = rel_s4 @ X117 @ X114) | ($false = exists_in_world @ X116 @ X118) | ($true = big_r @ X116 @ X119) | ($true != X115 @ (sK10 @ X115 @ (big_q @ X116))) | ($false = rel_s4 @ X118 @ X117) | ($false = rel_s4 @ X118 @ X119) | ($false = rel_s4 @ sK13 @ X118) | ($false = rel_s4 @ X114 @ X120) | ($false = rel_s4 @ X120 @ (sK10 @ X115 @ (big_q @ X116))) <- {388} [superposition 4828,253] 126.57/124.70 12653. ($false = $true) | ($false = rel_s4 @ X122 @ X125) | ($false = rel_s4 @ X125 @ (sK10 @ X123 @ (big_q @ X124))) | big_q @ X124 = X123 | ($false = rel_s4 @ X126 @ X122) | ($false = exists_in_world @ X124 @ X127) | ($true = big_r @ X124 @ X128) | ($true != X123 @ (sK10 @ X123 @ (big_q @ X124))) | ($false = rel_s4 @ X127 @ X126) | ($false = rel_s4 @ X127 @ X128) | ($false = rel_s4 @ sK13 @ X127) <- {388} [superposition 253,4828] 126.57/124.70 12665. 948 <=> ! [X115 : ($i > $o),X117,X119,X120,X114,X116 : mu,X118] : (big_q @ X116 = X115 | ($false = rel_s4 @ X120 @ (sK10 @ X115 @ (big_q @ X116))) | ($false = rel_s4 @ X114 @ X120) | ($false = rel_s4 @ sK13 @ X118) | ($false = rel_s4 @ X118 @ X119) | ($false = rel_s4 @ X118 @ X117) | ($true != X115 @ (sK10 @ X115 @ (big_q @ X116))) | ($true = big_r @ X116 @ X119) | ($false = exists_in_world @ X116 @ X118) | ($false = rel_s4 @ X117 @ X114)) [avatar definition] 126.57/124.70 12667. 948 | 0 | ~388 [avatar split clause 12649,4827,315,12665] 126.57/124.70 12668. 948 | 0 | ~388 [avatar split clause 12653,4827,315,12665] 126.57/124.70 12675. ($false = $true) | big_q @ X166 = X167 | ($false = rel_s4 @ X168 @ X165) | ($false = exists_in_world @ X166 @ X169) | ($true = big_r @ X166 @ X170) | ($true != X167 @ (sK10 @ (big_q @ X166) @ X167)) | ($false = rel_s4 @ X169 @ X168) | ($false = rel_s4 @ X169 @ X170) | ($false = rel_s4 @ sK13 @ X169) | ($false = rel_s4 @ X165 @ X171) | ($false = rel_s4 @ X171 @ (sK10 @ (big_q @ X166) @ X167)) <- {390} [superposition 4854,253] 126.57/124.70 12683. ($false = $true) | ($false = rel_s4 @ X195 @ X198) | ($false = rel_s4 @ X198 @ (sK10 @ (big_q @ X196) @ X197)) | big_q @ X196 = X197 | ($false = rel_s4 @ X199 @ X195) | ($false = exists_in_world @ X196 @ X200) | ($true = big_r @ X196 @ X201) | ($true != X197 @ (sK10 @ (big_q @ X196) @ X197)) | ($false = rel_s4 @ X200 @ X199) | ($false = rel_s4 @ X200 @ X201) | ($false = rel_s4 @ sK13 @ X200) <- {390} [superposition 253,4854] 126.57/124.70 12700. 950 <=> ! [X168,X170,X166 : mu,X169,X171,X165,X167 : ($i > $o)] : (big_q @ X166 = X167 | ($false = rel_s4 @ X171 @ (sK10 @ (big_q @ X166) @ X167)) | ($false = rel_s4 @ X165 @ X171) | ($false = rel_s4 @ sK13 @ X169) | ($false = rel_s4 @ X169 @ X170) | ($false = rel_s4 @ X169 @ X168) | ($true != X167 @ (sK10 @ (big_q @ X166) @ X167)) | ($true = big_r @ X166 @ X170) | ($false = exists_in_world @ X166 @ X169) | ($false = rel_s4 @ X168 @ X165)) [avatar definition] 126.57/124.70 12702. 950 | 0 | ~390 [avatar split clause 12675,4853,315,12700] 126.57/124.70 12703. 950 | 0 | ~390 [avatar split clause 12683,4853,315,12700] 126.57/124.70 12708. ($false = $true) | ($true != exists_in_world @ X75 @ X76) | ($true != rel_s4 @ X76 @ (sK10 @ X74 @ (big_q @ X75))) | ($false != big_q @ X75 @ (sK10 @ X74 @ (big_q @ X75))) | ($false = rel_s4 @ (sK10 @ X74 @ (big_q @ X75)) @ X77) | big_q @ X75 = X74 | ($true = big_r @ X75 @ X77) | ($false = rel_s4 @ sK13 @ X78) | ($false = rel_s4 @ X78 @ (sK10 @ X74 @ (big_q @ X75))) <- {392} [superposition 4863,253] 126.57/124.70 12710. ($false = $true) | ($false = rel_s4 @ sK13 @ X79) | ($false = rel_s4 @ X79 @ (sK10 @ X77 @ (big_q @ X78))) | ($true != exists_in_world @ X78 @ X80) | ($true != rel_s4 @ X80 @ (sK10 @ X77 @ (big_q @ X78))) | ($false != big_q @ X78 @ (sK10 @ X77 @ (big_q @ X78))) | ($false = rel_s4 @ (sK10 @ X77 @ (big_q @ X78)) @ X81) | big_q @ X78 = X77 | ($true = big_r @ X78 @ X81) <- {392} [superposition 253,4863] 126.57/124.70 12713. 952 <=> ! [X75 : mu,X77,X74 : ($i > $o),X76,X78] : (($true != exists_in_world @ X75 @ X76) | ($false = rel_s4 @ X78 @ (sK10 @ X74 @ (big_q @ X75))) | ($false = rel_s4 @ sK13 @ X78) | ($true = big_r @ X75 @ X77) | big_q @ X75 = X74 | ($false = rel_s4 @ (sK10 @ X74 @ (big_q @ X75)) @ X77) | ($false != big_q @ X75 @ (sK10 @ X74 @ (big_q @ X75))) | ($true != rel_s4 @ X76 @ (sK10 @ X74 @ (big_q @ X75)))) [avatar definition] 126.57/124.70 12715. 952 | 0 | ~392 [avatar split clause 12708,4862,315,12713] 126.57/124.70 12716. 952 | 0 | ~392 [avatar split clause 12710,4862,315,12713] 126.57/124.70 12723. ($false = $true) | ($false != big_q @ X85 @ (sK10 @ (big_q @ X85) @ (exists_in_world @ X86))) | ($false = rel_s4 @ X87 @ X84) | ($false = p @ (sK17 @ X88)) | exists_in_world @ X86 = big_q @ X85 | ($false = rel_s4 @ sK13 @ X87) | ($false = rel_s4 @ X87 @ X88) | ($false = exists_in_world @ X85 @ X87) | ($false = rel_s4 @ X84 @ X89) | ($false = rel_s4 @ X89 @ (sK10 @ (big_q @ X85) @ (exists_in_world @ X86))) <- {752} [superposition 9582,253] 126.57/124.70 12727. ($false = $true) | ($false = rel_s4 @ X91 @ X94) | ($false = rel_s4 @ X94 @ (sK10 @ (big_q @ X92) @ (exists_in_world @ X93))) | ($false != big_q @ X92 @ (sK10 @ (big_q @ X92) @ (exists_in_world @ X93))) | ($false = rel_s4 @ X95 @ X91) | ($false = p @ (sK17 @ X96)) | exists_in_world @ X93 = big_q @ X92 | ($false = rel_s4 @ sK13 @ X95) | ($false = rel_s4 @ X95 @ X96) | ($false = exists_in_world @ X92 @ X95) <- {752} [superposition 253,9582] 126.57/124.70 12737. 954 <=> ! [X84,X86 : mu,X89,X85 : mu,X87,X88] : (($false != big_q @ X85 @ (sK10 @ (big_q @ X85) @ (exists_in_world @ X86))) | ($false = rel_s4 @ X89 @ (sK10 @ (big_q @ X85) @ (exists_in_world @ X86))) | ($false = rel_s4 @ X84 @ X89) | ($false = exists_in_world @ X85 @ X87) | exists_in_world @ X86 = big_q @ X85 | ($false = rel_s4 @ X87 @ X84) | ($false = rel_s4 @ X87 @ X88) | ($false = rel_s4 @ sK13 @ X87) | ($false = p @ (sK17 @ X88))) [avatar definition] 126.57/124.70 12739. 954 | 0 | ~752 [avatar split clause 12723,9581,315,12737] 126.57/124.70 12740. 954 | 0 | ~752 [avatar split clause 12727,9581,315,12737] 126.57/124.70 12752. ($false = $true) | ($false != big_q @ X86 @ (sK10 @ (big_q @ X86) @ (rel_s4 @ X87))) | ($false = rel_s4 @ X88 @ X85) | ($false = p @ (sK17 @ X89)) | rel_s4 @ X87 = big_q @ X86 | ($false = rel_s4 @ sK13 @ X88) | ($false = rel_s4 @ X88 @ X89) | ($false = exists_in_world @ X86 @ X88) | ($false = rel_s4 @ X85 @ X90) | ($false = rel_s4 @ X90 @ (sK10 @ (big_q @ X86) @ (rel_s4 @ X87))) <- {756} [superposition 9610,253] 126.57/124.70 12758. ($false = $true) | ($false = rel_s4 @ X99 @ X102) | ($false = rel_s4 @ X102 @ (sK10 @ (big_q @ X100) @ (rel_s4 @ X101))) | ($false != big_q @ X100 @ (sK10 @ (big_q @ X100) @ (rel_s4 @ X101))) | ($false = rel_s4 @ X103 @ X99) | ($false = p @ (sK17 @ X104)) | rel_s4 @ X101 = big_q @ X100 | ($false = rel_s4 @ sK13 @ X103) | ($false = rel_s4 @ X103 @ X104) | ($false = exists_in_world @ X100 @ X103) <- {756} [superposition 253,9610] 126.57/124.70 12773. 956 <=> ! [X86 : mu,X89,X85,X87,X88,X90] : (($false != big_q @ X86 @ (sK10 @ (big_q @ X86) @ (rel_s4 @ X87))) | ($false = rel_s4 @ X90 @ (sK10 @ (big_q @ X86) @ (rel_s4 @ X87))) | ($false = rel_s4 @ X85 @ X90) | ($false = exists_in_world @ X86 @ X88) | rel_s4 @ X87 = big_q @ X86 | ($false = rel_s4 @ X88 @ X85) | ($false = rel_s4 @ X88 @ X89) | ($false = rel_s4 @ sK13 @ X88) | ($false = p @ (sK17 @ X89))) [avatar definition] 126.57/124.70 12775. 956 | 0 | ~756 [avatar split clause 12752,9609,315,12773] 126.57/124.70 12776. 956 | 0 | ~756 [avatar split clause 12758,9609,315,12773] 126.57/124.70 12868. ($false = $true) | ($false != big_q @ X124 @ (sK10 @ X123 @ (big_q @ X124))) | ($false = rel_s4 @ X125 @ X122) | ($false = exists_in_world @ X124 @ X126) | ($true = big_r @ X124 @ X127) | big_q @ X124 = X123 | ($false = rel_s4 @ X126 @ X125) | ($false = rel_s4 @ X126 @ X127) | ($false = rel_s4 @ sK13 @ X126) | ($false = rel_s4 @ X122 @ X128) | ($false = rel_s4 @ X128 @ (sK10 @ X123 @ (big_q @ X124))) <- {402} [superposition 4921,253] 126.57/124.70 12872. ($false = $true) | ($false = rel_s4 @ X130 @ X133) | ($false = rel_s4 @ X133 @ (sK10 @ X131 @ (big_q @ X132))) | ($false != big_q @ X132 @ (sK10 @ X131 @ (big_q @ X132))) | ($false = rel_s4 @ X134 @ X130) | ($false = exists_in_world @ X132 @ X135) | ($true = big_r @ X132 @ X136) | big_q @ X132 = X131 | ($false = rel_s4 @ X135 @ X134) | ($false = rel_s4 @ X135 @ X136) | ($false = rel_s4 @ sK13 @ X135) <- {402} [superposition 253,4921] 126.57/124.70 12884. 958 <=> ! [X122,X124 : mu,X126,X128,X123 : ($i > $o),X125,X127] : (($false != big_q @ X124 @ (sK10 @ X123 @ (big_q @ X124))) | ($false = rel_s4 @ X128 @ (sK10 @ X123 @ (big_q @ X124))) | ($false = rel_s4 @ X122 @ X128) | ($false = rel_s4 @ sK13 @ X126) | ($false = rel_s4 @ X126 @ X127) | ($false = rel_s4 @ X126 @ X125) | big_q @ X124 = X123 | ($true = big_r @ X124 @ X127) | ($false = exists_in_world @ X124 @ X126) | ($false = rel_s4 @ X125 @ X122)) [avatar definition] 126.57/124.70 12886. 958 | 0 | ~402 [avatar split clause 12868,4920,315,12884] 126.57/124.70 12887. 958 | 0 | ~402 [avatar split clause 12872,4920,315,12884] 126.57/124.70 12896. ($false = rel_s4 @ sK13 @ (sK10 @ p @ (exists_in_world @ sK20))) | ($true != exists_in_world @ sK20 @ X0) | ($false = rel_s4 @ X0 @ sK18) | ($false = p @ (sK17 @ X1)) | ($false = rel_s4 @ (sK10 @ (rel_s4 @ sK18) @ (exists_in_world @ sK20)) @ sK22) | rel_s4 @ sK18 = exists_in_world @ sK20 | ($false = rel_s4 @ (sK10 @ (rel_s4 @ sK18) @ (exists_in_world @ sK20)) @ X1) <- {142, 638} [superposition 9297,8154] 126.57/124.70 12901. ($false = $true) | ($true != exists_in_world @ sK20 @ X25) | ($false = rel_s4 @ X25 @ X24) | ($false = p @ (sK17 @ X26)) | ($false = rel_s4 @ (sK10 @ (rel_s4 @ X24) @ (exists_in_world @ sK20)) @ sK22) | rel_s4 @ X24 = exists_in_world @ sK20 | ($false = rel_s4 @ (sK10 @ (rel_s4 @ X24) @ (exists_in_world @ sK20)) @ X26) | ($false = rel_s4 @ sK13 @ X27) | ($false = rel_s4 @ X27 @ (sK10 @ (rel_s4 @ X24) @ (exists_in_world @ sK20))) <- {142} [superposition 9297,253] 126.57/124.70 12908. ($false = $true) | ($false = rel_s4 @ sK13 @ X43) | ($false = rel_s4 @ X43 @ (sK10 @ (rel_s4 @ X42) @ (exists_in_world @ sK20))) | ($true != exists_in_world @ sK20 @ X44) | ($false = rel_s4 @ X44 @ X42) | ($false = p @ (sK17 @ X45)) | ($false = rel_s4 @ (sK10 @ (rel_s4 @ X42) @ (exists_in_world @ sK20)) @ sK22) | rel_s4 @ X42 = exists_in_world @ sK20 | ($false = rel_s4 @ (sK10 @ (rel_s4 @ X42) @ (exists_in_world @ sK20)) @ X45) <- {142} [superposition 253,9297] 126.57/124.70 12915. ($false = rel_s4 @ (sK10 @ p @ (exists_in_world @ sK20)) @ sK22) | ($false = rel_s4 @ sK13 @ (sK10 @ p @ (exists_in_world @ sK20))) | ($true != exists_in_world @ sK20 @ X0) | ($false = rel_s4 @ X0 @ sK18) | ($false = p @ (sK17 @ X1)) | rel_s4 @ sK18 = exists_in_world @ sK20 | ($false = rel_s4 @ (sK10 @ (rel_s4 @ sK18) @ (exists_in_world @ sK20)) @ X1) <- {142, 638} [forward demodulation 12896,8154] 126.57/124.70 12916. p = exists_in_world @ sK20 | ($false = rel_s4 @ (sK10 @ p @ (exists_in_world @ sK20)) @ sK22) | ($false = rel_s4 @ sK13 @ (sK10 @ p @ (exists_in_world @ sK20))) | ($true != exists_in_world @ sK20 @ X0) | ($false = rel_s4 @ X0 @ sK18) | ($false = p @ (sK17 @ X1)) | ($false = rel_s4 @ (sK10 @ (rel_s4 @ sK18) @ (exists_in_world @ sK20)) @ X1) <- {142, 638} [forward demodulation 12915,8154] 126.57/124.70 12917. ($false = rel_s4 @ (sK10 @ p @ (exists_in_world @ sK20)) @ X1) | p = exists_in_world @ sK20 | ($false = rel_s4 @ (sK10 @ p @ (exists_in_world @ sK20)) @ sK22) | ($false = rel_s4 @ sK13 @ (sK10 @ p @ (exists_in_world @ sK20))) | ($true != exists_in_world @ sK20 @ X0) | ($false = rel_s4 @ X0 @ sK18) | ($false = p @ (sK17 @ X1)) <- {142, 638} [forward demodulation 12916,8154] 126.57/124.70 12919. 960 <=> ! [X0] : (($true != exists_in_world @ sK20 @ X0) | ($false = rel_s4 @ X0 @ sK18)) [avatar definition] 126.57/124.70 12925. 962 <=> ($false = rel_s4 @ sK13 @ (sK10 @ p @ (exists_in_world @ sK20))) [avatar definition] 126.57/124.70 12931. 964 <=> ($false = rel_s4 @ (sK10 @ p @ (exists_in_world @ sK20)) @ sK22) [avatar definition] 126.57/124.70 12934. 967 <=> p != exists_in_world @ sK20 [avatar definition] 126.57/124.70 12935. p != exists_in_world @ sK20 <- {967} [avatar component clause 12934] 126.57/124.70 12937. 966 <=> p = exists_in_world @ sK20 [avatar definition] 126.57/124.70 12940. 968 <=> ! [X1] : (($false = rel_s4 @ (sK10 @ p @ (exists_in_world @ sK20)) @ X1) | ($false = p @ (sK17 @ X1))) [avatar definition] 126.57/124.70 12942. 960 | 962 | 964 | 966 | 968 | ~142 | ~638 [avatar split clause 12917,8153,2383,12940,12937,12931,12925,12919] 126.57/124.70 12944. 970 <=> ! [X25,X27,X24,X26] : (($true != exists_in_world @ sK20 @ X25) | ($false = rel_s4 @ sK13 @ X27) | ($false = rel_s4 @ X27 @ (sK10 @ (rel_s4 @ X24) @ (exists_in_world @ sK20))) | ($false = rel_s4 @ (sK10 @ (rel_s4 @ X24) @ (exists_in_world @ sK20)) @ X26) | rel_s4 @ X24 = exists_in_world @ sK20 | ($false = rel_s4 @ (sK10 @ (rel_s4 @ X24) @ (exists_in_world @ sK20)) @ sK22) | ($false = p @ (sK17 @ X26)) | ($false = rel_s4 @ X25 @ X24)) [avatar definition] 126.57/124.70 12946. 970 | 0 | ~142 [avatar split clause 12901,2383,315,12944] 126.57/124.70 12947. 970 | 0 | ~142 [avatar split clause 12908,2383,315,12944] 126.57/124.70 12952. ($false = rel_s4 @ sK13 @ (sK10 @ (exists_in_world @ sK20) @ p)) | ($true != exists_in_world @ sK20 @ X0) | ($false = rel_s4 @ X0 @ sK18) | ($false = p @ (sK17 @ X1)) | ($false = rel_s4 @ (sK10 @ (exists_in_world @ sK20) @ (rel_s4 @ sK18)) @ sK22) | rel_s4 @ sK18 = exists_in_world @ sK20 | ($false = rel_s4 @ (sK10 @ (exists_in_world @ sK20) @ (rel_s4 @ sK18)) @ X1) <- {142, 638} [superposition 9301,8154] 126.57/124.70 12957. ($false = $true) | ($true != exists_in_world @ sK20 @ X27) | ($false = rel_s4 @ X27 @ X26) | ($false = p @ (sK17 @ X28)) | ($false = rel_s4 @ (sK10 @ (exists_in_world @ sK20) @ (rel_s4 @ X26)) @ sK22) | rel_s4 @ X26 = exists_in_world @ sK20 | ($false = rel_s4 @ (sK10 @ (exists_in_world @ sK20) @ (rel_s4 @ X26)) @ X28) | ($false = rel_s4 @ sK13 @ X29) | ($false = rel_s4 @ X29 @ (sK10 @ (exists_in_world @ sK20) @ (rel_s4 @ X26))) <- {142} [superposition 9301,253] 126.57/124.70 12966. ($false = $true) | ($false = rel_s4 @ sK13 @ X52) | ($false = rel_s4 @ X52 @ (sK10 @ (exists_in_world @ sK20) @ (rel_s4 @ X51))) | ($true != exists_in_world @ sK20 @ X53) | ($false = rel_s4 @ X53 @ X51) | ($false = p @ (sK17 @ X54)) | ($false = rel_s4 @ (sK10 @ (exists_in_world @ sK20) @ (rel_s4 @ X51)) @ sK22) | rel_s4 @ X51 = exists_in_world @ sK20 | ($false = rel_s4 @ (sK10 @ (exists_in_world @ sK20) @ (rel_s4 @ X51)) @ X54) <- {142} [superposition 253,9301] 126.57/124.70 12976. ($false = rel_s4 @ (sK10 @ (exists_in_world @ sK20) @ p) @ sK22) | ($false = rel_s4 @ sK13 @ (sK10 @ (exists_in_world @ sK20) @ p)) | ($true != exists_in_world @ sK20 @ X0) | ($false = rel_s4 @ X0 @ sK18) | ($false = p @ (sK17 @ X1)) | rel_s4 @ sK18 = exists_in_world @ sK20 | ($false = rel_s4 @ (sK10 @ (exists_in_world @ sK20) @ (rel_s4 @ sK18)) @ X1) <- {142, 638} [forward demodulation 12952,8154] 126.57/124.70 12977. p = exists_in_world @ sK20 | ($false = rel_s4 @ (sK10 @ (exists_in_world @ sK20) @ p) @ sK22) | ($false = rel_s4 @ sK13 @ (sK10 @ (exists_in_world @ sK20) @ p)) | ($true != exists_in_world @ sK20 @ X0) | ($false = rel_s4 @ X0 @ sK18) | ($false = p @ (sK17 @ X1)) | ($false = rel_s4 @ (sK10 @ (exists_in_world @ sK20) @ (rel_s4 @ sK18)) @ X1) <- {142, 638} [forward demodulation 12976,8154] 126.57/124.70 12978. ($false = rel_s4 @ (sK10 @ (exists_in_world @ sK20) @ p) @ X1) | p = exists_in_world @ sK20 | ($false = rel_s4 @ (sK10 @ (exists_in_world @ sK20) @ p) @ sK22) | ($false = rel_s4 @ sK13 @ (sK10 @ (exists_in_world @ sK20) @ p)) | ($true != exists_in_world @ sK20 @ X0) | ($false = rel_s4 @ X0 @ sK18) | ($false = p @ (sK17 @ X1)) <- {142, 638} [forward demodulation 12977,8154] 126.57/124.70 12983. 972 <=> ($false = rel_s4 @ sK13 @ (sK10 @ (exists_in_world @ sK20) @ p)) [avatar definition] 126.57/124.70 12989. 974 <=> ($false = rel_s4 @ (sK10 @ (exists_in_world @ sK20) @ p) @ sK22) [avatar definition] 126.57/124.70 12992. 976 <=> ! [X1] : (($false = rel_s4 @ (sK10 @ (exists_in_world @ sK20) @ p) @ X1) | ($false = p @ (sK17 @ X1))) [avatar definition] 126.57/124.70 12994. 960 | 972 | 974 | 966 | 976 | ~142 | ~638 [avatar split clause 12978,8153,2383,12992,12937,12989,12983,12919] 126.57/124.70 12996. 978 <=> ! [X27,X29,X26,X28] : (($true != exists_in_world @ sK20 @ X27) | ($false = rel_s4 @ sK13 @ X29) | ($false = rel_s4 @ X29 @ (sK10 @ (exists_in_world @ sK20) @ (rel_s4 @ X26))) | ($false = rel_s4 @ (sK10 @ (exists_in_world @ sK20) @ (rel_s4 @ X26)) @ X28) | rel_s4 @ X26 = exists_in_world @ sK20 | ($false = rel_s4 @ (sK10 @ (exists_in_world @ sK20) @ (rel_s4 @ X26)) @ sK22) | ($false = p @ (sK17 @ X28)) | ($false = rel_s4 @ X27 @ X26)) [avatar definition] 126.57/124.70 12998. 978 | 0 | ~142 [avatar split clause 12957,2383,315,12996] 126.57/124.70 12999. 978 | 0 | ~142 [avatar split clause 12966,2383,315,12996] 126.57/124.70 13000. ($false = $true) | ($false = p @ (sK17 @ X12)) | exists_in_world @ X11 = big_q @ X10 | ($false = rel_s4 @ sK13 @ (sK10 @ (big_q @ X10) @ (exists_in_world @ X11))) | ($false = rel_s4 @ (sK10 @ (big_q @ X10) @ (exists_in_world @ X11)) @ X12) | ($false != big_q @ X10 @ (sK10 @ (big_q @ X10) @ (exists_in_world @ X11))) | ($true != rel_s4 @ X13 @ (sK10 @ (big_q @ X10) @ (exists_in_world @ X11))) | ($true != exists_in_world @ X10 @ X13) <- {750} [superposition 9578,206] 126.57/124.70 13003. ($false = $true) | ($true != rel_s4 @ X15 @ (sK10 @ (big_q @ X13) @ (exists_in_world @ X14))) | ($true != exists_in_world @ X13 @ X15) | ($false = p @ (sK17 @ X16)) | exists_in_world @ X14 = big_q @ X13 | ($false = rel_s4 @ sK13 @ (sK10 @ (big_q @ X13) @ (exists_in_world @ X14))) | ($false = rel_s4 @ (sK10 @ (big_q @ X13) @ (exists_in_world @ X14)) @ X16) | ($false != big_q @ X13 @ (sK10 @ (big_q @ X13) @ (exists_in_world @ X14))) <- {750} [superposition 206,9578] 126.57/124.70 13007. 980 <=> ! [X11 : mu,X13,X10 : mu,X12] : (($false = p @ (sK17 @ X12)) | ($true != exists_in_world @ X10 @ X13) | ($true != rel_s4 @ X13 @ (sK10 @ (big_q @ X10) @ (exists_in_world @ X11))) | ($false != big_q @ X10 @ (sK10 @ (big_q @ X10) @ (exists_in_world @ X11))) | exists_in_world @ X11 = big_q @ X10 | ($false = rel_s4 @ (sK10 @ (big_q @ X10) @ (exists_in_world @ X11)) @ X12) | ($false = rel_s4 @ sK13 @ (sK10 @ (big_q @ X10) @ (exists_in_world @ X11)))) [avatar definition] 126.57/124.70 13009. 980 | 0 | ~750 [avatar split clause 13000,9577,315,13007] 126.57/124.70 13010. 980 | 0 | ~750 [avatar split clause 13003,9577,315,13007] 126.57/124.70 13016. ($false = $true) | ($false = p @ (sK17 @ X11)) | rel_s4 @ X10 = big_q @ X9 | ($false = rel_s4 @ sK13 @ (sK10 @ (big_q @ X9) @ (rel_s4 @ X10))) | ($false = rel_s4 @ (sK10 @ (big_q @ X9) @ (rel_s4 @ X10)) @ X11) | ($false != big_q @ X9 @ (sK10 @ (big_q @ X9) @ (rel_s4 @ X10))) | ($true != rel_s4 @ X12 @ (sK10 @ (big_q @ X9) @ (rel_s4 @ X10))) | ($true != exists_in_world @ X9 @ X12) <- {754} [superposition 9606,206] 126.57/124.70 13017. ($false = $true) | ($true != rel_s4 @ X9 @ (sK10 @ (big_q @ X7) @ (rel_s4 @ X8))) | ($true != exists_in_world @ X7 @ X9) | ($false = p @ (sK17 @ X10)) | rel_s4 @ X8 = big_q @ X7 | ($false = rel_s4 @ sK13 @ (sK10 @ (big_q @ X7) @ (rel_s4 @ X8))) | ($false = rel_s4 @ (sK10 @ (big_q @ X7) @ (rel_s4 @ X8)) @ X10) | ($false != big_q @ X7 @ (sK10 @ (big_q @ X7) @ (rel_s4 @ X8))) <- {754} [superposition 206,9606] 126.57/124.70 13023. 982 <=> ! [X9 : mu,X11,X10,X12] : (($false = p @ (sK17 @ X11)) | ($true != exists_in_world @ X9 @ X12) | ($true != rel_s4 @ X12 @ (sK10 @ (big_q @ X9) @ (rel_s4 @ X10))) | ($false != big_q @ X9 @ (sK10 @ (big_q @ X9) @ (rel_s4 @ X10))) | rel_s4 @ X10 = big_q @ X9 | ($false = rel_s4 @ (sK10 @ (big_q @ X9) @ (rel_s4 @ X10)) @ X11) | ($false = rel_s4 @ sK13 @ (sK10 @ (big_q @ X9) @ (rel_s4 @ X10)))) [avatar definition] 126.57/124.70 13025. 982 | 0 | ~754 [avatar split clause 13016,9605,315,13023] 126.57/124.70 13026. 982 | 0 | ~754 [avatar split clause 13017,9605,315,13023] 126.57/124.70 13038. ($false = $true) | ($false != big_q @ X90 @ (sK10 @ (big_q @ X90) @ (rel_s4 @ X91))) | ($false = rel_s4 @ X92 @ X89) | ($false = exists_in_world @ X90 @ X93) | ($true = big_r @ X90 @ X94) | rel_s4 @ X91 = big_q @ X90 | ($false = rel_s4 @ X93 @ X92) | ($false = rel_s4 @ X93 @ X94) | ($false = rel_s4 @ sK13 @ X93) | ($false = rel_s4 @ X89 @ X95) | ($false = rel_s4 @ X95 @ (sK10 @ (big_q @ X90) @ (rel_s4 @ X91))) <- {412} [superposition 5005,253] 126.57/124.70 13044. ($false = $true) | ($false = rel_s4 @ X107 @ X110) | ($false = rel_s4 @ X110 @ (sK10 @ (big_q @ X108) @ (rel_s4 @ X109))) | ($false != big_q @ X108 @ (sK10 @ (big_q @ X108) @ (rel_s4 @ X109))) | ($false = rel_s4 @ X111 @ X107) | ($false = exists_in_world @ X108 @ X112) | ($true = big_r @ X108 @ X113) | rel_s4 @ X109 = big_q @ X108 | ($false = rel_s4 @ X112 @ X111) | ($false = rel_s4 @ X112 @ X113) | ($false = rel_s4 @ sK13 @ X112) <- {412} [superposition 253,5005] 126.57/124.70 13061. 984 <=> ! [X89,X91,X93,X95,X90 : mu,X92,X94] : (($false != big_q @ X90 @ (sK10 @ (big_q @ X90) @ (rel_s4 @ X91))) | ($false = rel_s4 @ X95 @ (sK10 @ (big_q @ X90) @ (rel_s4 @ X91))) | ($false = rel_s4 @ X89 @ X95) | ($false = rel_s4 @ sK13 @ X93) | ($false = rel_s4 @ X93 @ X94) | ($false = rel_s4 @ X93 @ X92) | rel_s4 @ X91 = big_q @ X90 | ($true = big_r @ X90 @ X94) | ($false = exists_in_world @ X90 @ X93) | ($false = rel_s4 @ X92 @ X89)) [avatar definition] 126.57/124.70 13063. 984 | 0 | ~412 [avatar split clause 13038,5004,315,13061] 126.57/124.70 13064. 984 | 0 | ~412 [avatar split clause 13044,5004,315,13061] 126.57/124.70 13071. ($false = $true) | ($false != big_q @ X89 @ (sK10 @ (big_q @ X89) @ (exists_in_world @ X90))) | ($false = rel_s4 @ X91 @ X88) | ($false = exists_in_world @ X89 @ X92) | ($true = big_r @ X89 @ X93) | exists_in_world @ X90 = big_q @ X89 | ($false = rel_s4 @ X92 @ X91) | ($false = rel_s4 @ X92 @ X93) | ($false = rel_s4 @ sK13 @ X92) | ($false = rel_s4 @ X88 @ X94) | ($false = rel_s4 @ X94 @ (sK10 @ (big_q @ X89) @ (exists_in_world @ X90))) <- {414} [superposition 5024,253] 126.57/124.70 13075. ($false = $true) | ($false = rel_s4 @ X97 @ X100) | ($false = rel_s4 @ X100 @ (sK10 @ (big_q @ X98) @ (exists_in_world @ X99))) | ($false != big_q @ X98 @ (sK10 @ (big_q @ X98) @ (exists_in_world @ X99))) | ($false = rel_s4 @ X101 @ X97) | ($false = exists_in_world @ X98 @ X102) | ($true = big_r @ X98 @ X103) | exists_in_world @ X99 = big_q @ X98 | ($false = rel_s4 @ X102 @ X101) | ($false = rel_s4 @ X102 @ X103) | ($false = rel_s4 @ sK13 @ X102) <- {414} [superposition 253,5024] 126.57/124.70 13087. 986 <=> ! [X89 : mu,X91,X93,X88,X90 : mu,X92,X94] : (($false != big_q @ X89 @ (sK10 @ (big_q @ X89) @ (exists_in_world @ X90))) | ($false = rel_s4 @ X94 @ (sK10 @ (big_q @ X89) @ (exists_in_world @ X90))) | ($false = rel_s4 @ X88 @ X94) | ($false = rel_s4 @ sK13 @ X92) | ($false = rel_s4 @ X92 @ X93) | ($false = rel_s4 @ X92 @ X91) | exists_in_world @ X90 = big_q @ X89 | ($true = big_r @ X89 @ X93) | ($false = exists_in_world @ X89 @ X92) | ($false = rel_s4 @ X91 @ X88)) [avatar definition] 126.57/124.70 13089. 986 | 0 | ~414 [avatar split clause 13071,5023,315,13087] 126.57/124.70 13090. 986 | 0 | ~414 [avatar split clause 13075,5023,315,13087] 126.57/124.70 13100. ($false = $true) | ($true != exists_in_world @ sK20 @ X26) | ($false = rel_s4 @ X26 @ X27) | ($false = rel_s4 @ X27 @ X25) | ($false = p @ (sK17 @ X28)) | ($false = rel_s4 @ (sK10 @ (rel_s4 @ X25) @ (exists_in_world @ sK20)) @ sK22) | rel_s4 @ X25 = exists_in_world @ sK20 | ($false = rel_s4 @ (sK10 @ (rel_s4 @ X25) @ (exists_in_world @ sK20)) @ X28) | ($false = rel_s4 @ sK13 @ X29) | ($false = rel_s4 @ X29 @ (sK10 @ (rel_s4 @ X25) @ (exists_in_world @ sK20))) <- {142} [superposition 9299,253] 126.57/124.70 13107. ($false = $true) | ($false = rel_s4 @ sK13 @ X50) | ($false = rel_s4 @ X50 @ (sK10 @ (rel_s4 @ X49) @ (exists_in_world @ sK20))) | ($true != exists_in_world @ sK20 @ X51) | ($false = rel_s4 @ X51 @ X52) | ($false = rel_s4 @ X52 @ X49) | ($false = p @ (sK17 @ X53)) | ($false = rel_s4 @ (sK10 @ (rel_s4 @ X49) @ (exists_in_world @ sK20)) @ sK22) | rel_s4 @ X49 = exists_in_world @ sK20 | ($false = rel_s4 @ (sK10 @ (rel_s4 @ X49) @ (exists_in_world @ sK20)) @ X53) <- {142} [superposition 253,9299] 126.57/124.70 13108. ($false != $false) | ($true != exists_in_world @ sK20 @ sK13) | ($false = rel_s4 @ sK13 @ (sK10 @ (rel_s4 @ X0) @ (exists_in_world @ sK20))) | ($false = rel_s4 @ (sK10 @ (rel_s4 @ X0) @ (exists_in_world @ sK20)) @ X0) | ($false = p @ (sK17 @ X1)) | ($false = rel_s4 @ (sK10 @ (rel_s4 @ X0) @ (exists_in_world @ sK20)) @ sK22) | rel_s4 @ X0 = exists_in_world @ sK20 | ($false = rel_s4 @ (sK10 @ (rel_s4 @ X0) @ (exists_in_world @ sK20)) @ X1) <- {142} [equality factoring 9299] 126.57/124.70 13109. ($true != exists_in_world @ sK20 @ sK13) | ($false = rel_s4 @ sK13 @ (sK10 @ (rel_s4 @ X0) @ (exists_in_world @ sK20))) | ($false = rel_s4 @ (sK10 @ (rel_s4 @ X0) @ (exists_in_world @ sK20)) @ X0) | ($false = p @ (sK17 @ X1)) | ($false = rel_s4 @ (sK10 @ (rel_s4 @ X0) @ (exists_in_world @ sK20)) @ sK22) | rel_s4 @ X0 = exists_in_world @ sK20 | ($false = rel_s4 @ (sK10 @ (rel_s4 @ X0) @ (exists_in_world @ sK20)) @ X1) <- {142} [trivial inequality removal 13108] 126.57/124.70 13117. 988 <=> ! [X25,X27,X29,X26,X28] : (($true != exists_in_world @ sK20 @ X26) | ($false = rel_s4 @ sK13 @ X29) | ($false = rel_s4 @ X29 @ (sK10 @ (rel_s4 @ X25) @ (exists_in_world @ sK20))) | ($false = rel_s4 @ (sK10 @ (rel_s4 @ X25) @ (exists_in_world @ sK20)) @ X28) | rel_s4 @ X25 = exists_in_world @ sK20 | ($false = rel_s4 @ (sK10 @ (rel_s4 @ X25) @ (exists_in_world @ sK20)) @ sK22) | ($false = p @ (sK17 @ X28)) | ($false = rel_s4 @ X27 @ X25) | ($false = rel_s4 @ X26 @ X27)) [avatar definition] 126.57/124.70 13119. 988 | 0 | ~142 [avatar split clause 13100,2383,315,13117] 126.57/124.70 13120. 988 | 0 | ~142 [avatar split clause 13107,2383,315,13117] 126.57/124.70 13122. 990 <=> ! [X1,X0] : (($false = rel_s4 @ sK13 @ (sK10 @ (rel_s4 @ X0) @ (exists_in_world @ sK20))) | ($false = rel_s4 @ (sK10 @ (rel_s4 @ X0) @ (exists_in_world @ sK20)) @ X1) | rel_s4 @ X0 = exists_in_world @ sK20 | ($false = rel_s4 @ (sK10 @ (rel_s4 @ X0) @ (exists_in_world @ sK20)) @ sK22) | ($false = p @ (sK17 @ X1)) | ($false = rel_s4 @ (sK10 @ (rel_s4 @ X0) @ (exists_in_world @ sK20)) @ X0)) [avatar definition] 126.57/124.70 13125. 992 <=> ($true = exists_in_world @ sK20 @ sK13) [avatar definition] 126.57/124.70 13126. ($true = exists_in_world @ sK20 @ sK13) <- {992} [avatar component clause 13125] 126.57/124.70 13128. 993 <=> ($true != exists_in_world @ sK20 @ sK13) [avatar definition] 126.57/124.70 13129. ($true != exists_in_world @ sK20 @ sK13) <- {993} [avatar component clause 13128] 126.57/124.70 13130. 990 | ~993 | ~142 [avatar split clause 13109,2383,13128,13122] 126.57/124.70 13140. ($false = $true) | ($true != exists_in_world @ X55 @ X57) | ($true != rel_s4 @ X57 @ (sK10 @ (big_q @ X55) @ (rel_s4 @ X56))) | ($false != big_q @ X55 @ (sK10 @ (big_q @ X55) @ (rel_s4 @ X56))) | ($false = rel_s4 @ (sK10 @ (big_q @ X55) @ (rel_s4 @ X56)) @ X58) | rel_s4 @ X56 = big_q @ X55 | ($true = big_r @ X55 @ X58) | ($false = rel_s4 @ sK13 @ X59) | ($false = rel_s4 @ X59 @ (sK10 @ (big_q @ X55) @ (rel_s4 @ X56))) <- {416} [superposition 5129,253] 126.57/124.70 13144. ($false = $true) | ($false = rel_s4 @ sK13 @ X66) | ($false = rel_s4 @ X66 @ (sK10 @ (big_q @ X64) @ (rel_s4 @ X65))) | ($true != exists_in_world @ X64 @ X67) | ($true != rel_s4 @ X67 @ (sK10 @ (big_q @ X64) @ (rel_s4 @ X65))) | ($false != big_q @ X64 @ (sK10 @ (big_q @ X64) @ (rel_s4 @ X65))) | ($false = rel_s4 @ (sK10 @ (big_q @ X64) @ (rel_s4 @ X65)) @ X68) | rel_s4 @ X65 = big_q @ X64 | ($true = big_r @ X64 @ X68) <- {416} [superposition 253,5129] 126.57/124.70 13154. 994 <=> ! [X55 : mu,X56,X58,X57,X59] : (($true != exists_in_world @ X55 @ X57) | ($false = rel_s4 @ X59 @ (sK10 @ (big_q @ X55) @ (rel_s4 @ X56))) | ($false = rel_s4 @ sK13 @ X59) | ($true = big_r @ X55 @ X58) | rel_s4 @ X56 = big_q @ X55 | ($false = rel_s4 @ (sK10 @ (big_q @ X55) @ (rel_s4 @ X56)) @ X58) | ($false != big_q @ X55 @ (sK10 @ (big_q @ X55) @ (rel_s4 @ X56))) | ($true != rel_s4 @ X57 @ (sK10 @ (big_q @ X55) @ (rel_s4 @ X56)))) [avatar definition] 126.57/124.70 13156. 994 | 0 | ~416 [avatar split clause 13140,5128,315,13154] 126.57/124.70 13157. 994 | 0 | ~416 [avatar split clause 13144,5128,315,13154] 126.57/124.70 13158. (p @ (sK10 @ (exists_in_world @ sK20) @ p) != exists_in_world @ sK20 @ (sK10 @ (exists_in_world @ sK20) @ p)) <- {967} [unit resulting resolution 12935,171] 126.57/124.70 13159. (p @ (sK10 @ p @ (exists_in_world @ sK20)) != exists_in_world @ sK20 @ (sK10 @ p @ (exists_in_world @ sK20))) <- {967} [unit resulting resolution 12935,171] 126.57/124.70 13164. 997 <=> (p @ (sK10 @ p @ (exists_in_world @ sK20)) != exists_in_world @ sK20 @ (sK10 @ p @ (exists_in_world @ sK20))) [avatar definition] 126.57/124.70 13166. ~997 | 967 [avatar split clause 13159,12934,13164] 126.57/124.70 13171. 999 <=> (p @ (sK10 @ (exists_in_world @ sK20) @ p) != exists_in_world @ sK20 @ (sK10 @ (exists_in_world @ sK20) @ p)) [avatar definition] 126.57/124.70 13173. ~999 | 967 [avatar split clause 13158,12934,13171] 126.57/124.70 13178. ($false = $true) | ($true != exists_in_world @ X55 @ X57) | ($true != rel_s4 @ X57 @ (sK10 @ (big_q @ X55) @ (exists_in_world @ X56))) | ($false != big_q @ X55 @ (sK10 @ (big_q @ X55) @ (exists_in_world @ X56))) | ($false = rel_s4 @ (sK10 @ (big_q @ X55) @ (exists_in_world @ X56)) @ X58) | exists_in_world @ X56 = big_q @ X55 | ($true = big_r @ X55 @ X58) | ($false = rel_s4 @ sK13 @ X59) | ($false = rel_s4 @ X59 @ (sK10 @ (big_q @ X55) @ (exists_in_world @ X56))) <- {418} [superposition 5140,253] 126.57/124.70 13181. ($false = $true) | ($false = rel_s4 @ sK13 @ X63) | ($false = rel_s4 @ X63 @ (sK10 @ (big_q @ X61) @ (exists_in_world @ X62))) | ($true != exists_in_world @ X61 @ X64) | ($true != rel_s4 @ X64 @ (sK10 @ (big_q @ X61) @ (exists_in_world @ X62))) | ($false != big_q @ X61 @ (sK10 @ (big_q @ X61) @ (exists_in_world @ X62))) | ($false = rel_s4 @ (sK10 @ (big_q @ X61) @ (exists_in_world @ X62)) @ X65) | exists_in_world @ X62 = big_q @ X61 | ($true = big_r @ X61 @ X65) <- {418} [superposition 253,5140] 126.57/124.70 13185. 1000 <=> ! [X55 : mu,X56 : mu,X58,X57,X59] : (($true != exists_in_world @ X55 @ X57) | ($false = rel_s4 @ X59 @ (sK10 @ (big_q @ X55) @ (exists_in_world @ X56))) | ($false = rel_s4 @ sK13 @ X59) | ($true = big_r @ X55 @ X58) | exists_in_world @ X56 = big_q @ X55 | ($false = rel_s4 @ (sK10 @ (big_q @ X55) @ (exists_in_world @ X56)) @ X58) | ($false != big_q @ X55 @ (sK10 @ (big_q @ X55) @ (exists_in_world @ X56))) | ($true != rel_s4 @ X57 @ (sK10 @ (big_q @ X55) @ (exists_in_world @ X56)))) [avatar definition] 126.57/124.70 13187. 1000 | 0 | ~418 [avatar split clause 13178,5139,315,13185] 126.57/124.70 13188. 1000 | 0 | ~418 [avatar split clause 13181,5139,315,13185] 126.57/124.70 16098. ($false != exists_in_world @ X0 @ (sK10 @ (exists_in_world @ X0) @ p)) | rel_s4 @ sK18 = exists_in_world @ X0 | ($false = rel_s4 @ X1 @ X2) | ($false = rel_s4 @ X2 @ X3) | ($false = rel_s4 @ X3 @ sK18) | ($true != exists_in_world @ X0 @ X1) | ($false = rel_s4 @ sK18 @ sK18) <- {638} [superposition 6683,8154] 126.57/124.70 16113. p = exists_in_world @ X0 | ($false != exists_in_world @ X0 @ (sK10 @ (exists_in_world @ X0) @ p)) | ($false = rel_s4 @ X1 @ X2) | ($false = rel_s4 @ X2 @ X3) | ($false = rel_s4 @ X3 @ sK18) | ($true != exists_in_world @ X0 @ X1) | ($false = rel_s4 @ sK18 @ sK18) <- {638} [forward demodulation 16098,8154] 126.57/124.70 16114. ($false = $true) | p = exists_in_world @ X0 | ($false != exists_in_world @ X0 @ (sK10 @ (exists_in_world @ X0) @ p)) | ($false = rel_s4 @ X1 @ X2) | ($false = rel_s4 @ X2 @ X3) | ($false = rel_s4 @ X3 @ sK18) | ($true != exists_in_world @ X0 @ X1) <- {638} [forward demodulation 16113,258] 126.57/124.70 16116. 1002 <=> ! [X1,X3,X0 : mu,X2] : (p = exists_in_world @ X0 | ($true != exists_in_world @ X0 @ X1) | ($false = rel_s4 @ X1 @ X2) | ($false = rel_s4 @ X3 @ sK18) | ($false = rel_s4 @ X2 @ X3) | ($false != exists_in_world @ X0 @ (sK10 @ (exists_in_world @ X0) @ p))) [avatar definition] 126.57/124.70 16118. 1002 | 0 | ~638 [avatar split clause 16114,8153,315,16116] 126.57/124.70 16131. ($false != rel_s4 @ X0 @ (sK10 @ (rel_s4 @ X0) @ p)) | rel_s4 @ sK18 = rel_s4 @ X0 | ($false = rel_s4 @ X1 @ X2) | ($false = rel_s4 @ X2 @ X3) | ($false = rel_s4 @ X0 @ X1) | ($false = rel_s4 @ X3 @ sK18) | ($false = rel_s4 @ sK18 @ sK18) <- {638} [superposition 6725,8154] 126.57/124.70 16247. p = rel_s4 @ X0 | ($false != rel_s4 @ X0 @ (sK10 @ (rel_s4 @ X0) @ p)) | ($false = rel_s4 @ X1 @ X2) | ($false = rel_s4 @ X2 @ X3) | ($false = rel_s4 @ X0 @ X1) | ($false = rel_s4 @ X3 @ sK18) | ($false = rel_s4 @ sK18 @ sK18) <- {638} [forward demodulation 16131,8154] 126.57/124.70 16248. ($false = $true) | p = rel_s4 @ X0 | ($false != rel_s4 @ X0 @ (sK10 @ (rel_s4 @ X0) @ p)) | ($false = rel_s4 @ X1 @ X2) | ($false = rel_s4 @ X2 @ X3) | ($false = rel_s4 @ X0 @ X1) | ($false = rel_s4 @ X3 @ sK18) <- {638} [forward demodulation 16247,258] 126.57/124.70 16250. 1004 <=> ! [X1,X3,X0,X2] : (p = rel_s4 @ X0 | ($false = rel_s4 @ X3 @ sK18) | ($false = rel_s4 @ X0 @ X1) | ($false = rel_s4 @ X2 @ X3) | ($false = rel_s4 @ X1 @ X2) | ($false != rel_s4 @ X0 @ (sK10 @ (rel_s4 @ X0) @ p))) [avatar definition] 126.57/124.70 16252. 1004 | 0 | ~638 [avatar split clause 16248,8153,315,16250] 126.57/124.70 18443. ($true = exists_in_world @ sK20 @ sK33) <- {50, 544} [unit resulting resolution 1297,7282,206] 126.57/124.70 18444. ($true = exists_in_world @ (sK11 @ sK13) @ sK33) <- {42, 544} [unit resulting resolution 924,7282,206] 126.57/124.70 18445. ($true = exists_in_world @ (sK11 @ sK12) @ sK33) <- {44, 544} [unit resulting resolution 931,7282,206] 126.57/124.70 18446. ($true = exists_in_world @ sK24 @ sK33) <- {106, 544} [unit resulting resolution 2186,7282,206] 126.57/124.70 18447. ($true = exists_in_world @ (sK11 @ sK19) @ sK33) <- {544} [unit resulting resolution 205,7282,206] 126.57/124.70 18465. 1006 <=> ($true = exists_in_world @ (sK11 @ sK19) @ sK33) [avatar definition] 126.57/124.70 18467. 1006 | ~544 [avatar split clause 18447,7281,18465] 126.57/124.70 18472. 1008 <=> ($true = exists_in_world @ sK24 @ sK33) [avatar definition] 126.57/124.70 18473. ($true = exists_in_world @ sK24 @ sK33) <- {1008} [avatar component clause 18472] 126.57/124.70 18474. 1008 | ~106 | ~544 [avatar split clause 18446,7281,2185,18472] 126.57/124.70 18479. 1010 <=> ($true = exists_in_world @ (sK11 @ sK12) @ sK33) [avatar definition] 126.57/124.70 18481. 1010 | ~44 | ~544 [avatar split clause 18445,7281,930,18479] 126.57/124.70 18486. 1012 <=> ($true = exists_in_world @ (sK11 @ sK13) @ sK33) [avatar definition] 126.57/124.70 18488. 1012 | ~42 | ~544 [avatar split clause 18444,7281,923,18486] 126.57/124.70 18493. 1014 <=> ($true = exists_in_world @ sK20 @ sK33) [avatar definition] 126.57/124.70 18495. 1014 | ~50 | ~544 [avatar split clause 18443,7281,1296,18493] 126.57/124.70 18506. ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ sK33 @ (sK17 @ sK33))) @ $false) | ($false = exists_in_world @ X0 @ X1) | ($false = rel_s4 @ X1 @ sK33) | ($false = rel_s4 @ sK13 @ X1) | ($false = rel_s4 @ X1 @ X2) | ($true = big_q @ X0 @ X2) <- {6, 548} [superposition 959,7296] 126.57/124.70 18510. 1016 <=> ! [X1,X0 : mu,X2] : (($false = exists_in_world @ X0 @ X1) | ($true = big_q @ X0 @ X2) | ($false = rel_s4 @ X1 @ X2) | ($false = rel_s4 @ sK13 @ X1) | ($false = rel_s4 @ X1 @ sK33)) [avatar definition] 126.57/124.70 18513. 1019 <=> ($false != vOR_37 @ (vNOT_33 @ (rel_s4 @ sK33 @ (sK17 @ sK33))) @ $false) [avatar definition] 126.57/124.70 18514. ($false != vOR_37 @ (vNOT_33 @ (rel_s4 @ sK33 @ (sK17 @ sK33))) @ $false) <- {1019} [avatar component clause 18513] 126.57/124.70 18516. 1018 <=> ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ sK33 @ (sK17 @ sK33))) @ $false) [avatar definition] 126.57/124.70 18518. 1016 | 1018 | ~6 | ~548 [avatar split clause 18506,7295,368,18516,18510] 126.57/124.70 18519. ($true = vNOT_33 @ (rel_s4 @ sK33 @ (sK17 @ sK33))) | ($false = $true) <- {1019} [HOL binary constant elimination 18514] 126.57/124.70 18520. ($false = rel_s4 @ sK33 @ (sK17 @ sK33)) | ($false = $true) <- {1019} [HOL not constant elimination 18519] 126.57/124.70 18525. 1020 <=> ($false = rel_s4 @ sK33 @ (sK17 @ sK33)) [avatar definition] 126.57/124.70 18527. 0 | 1020 | 1019 [avatar split clause 18520,18513,18525,315] 126.57/124.70 18529. ($true = exists_in_world @ sK21 @ sK34) <- {58, 558} [unit resulting resolution 1328,7332,206] 126.57/124.70 18530. ($true = exists_in_world @ (sK11 @ sK13) @ sK34) <- {46, 558} [unit resulting resolution 1110,7332,206] 126.57/124.70 18531. ($true = exists_in_world @ (sK11 @ sK12) @ sK34) <- {48, 558} [unit resulting resolution 1117,7332,206] 126.57/124.70 18532. ($true = exists_in_world @ sK25 @ sK34) <- {114, 558} [unit resulting resolution 2217,7332,206] 126.57/124.70 18533. ($true = exists_in_world @ (sK11 @ sK18) @ sK34) <- {558} [unit resulting resolution 205,7332,206] 126.57/124.70 18552. 1022 <=> ($true = exists_in_world @ (sK11 @ sK18) @ sK34) [avatar definition] 126.57/124.70 18554. 1022 | ~558 [avatar split clause 18533,7331,18552] 126.57/124.70 18559. 1024 <=> ($true = exists_in_world @ sK25 @ sK34) [avatar definition] 126.57/124.70 18561. 1024 | ~114 | ~558 [avatar split clause 18532,7331,2216,18559] 126.57/124.70 18566. 1026 <=> ($true = exists_in_world @ (sK11 @ sK12) @ sK34) [avatar definition] 126.57/124.70 18568. 1026 | ~48 | ~558 [avatar split clause 18531,7331,1116,18566] 126.57/124.70 18573. 1028 <=> ($true = exists_in_world @ (sK11 @ sK13) @ sK34) [avatar definition] 126.57/124.70 18575. 1028 | ~46 | ~558 [avatar split clause 18530,7331,1109,18573] 126.57/124.70 18580. 1030 <=> ($true = exists_in_world @ sK21 @ sK34) [avatar definition] 126.57/124.70 18582. 1030 | ~58 | ~558 [avatar split clause 18529,7331,1327,18580] 126.57/124.70 18602. ($false = $true) | ($false = rel_s4 @ sK23 @ X0) | ($false = rel_s4 @ X0 @ sK13) <- {572} [superposition 7449,253] 126.57/124.70 18603. ($false = $true) | ($false = rel_s4 @ sK23 @ X0) | ($false = rel_s4 @ X0 @ sK13) <- {572} [superposition 253,7449] 126.57/124.70 18605. 1032 <=> ! [X0] : (($false = rel_s4 @ sK23 @ X0) | ($false = rel_s4 @ X0 @ sK13)) [avatar definition] 126.57/124.70 18607. 1032 | 0 | ~572 [avatar split clause 18602,7448,315,18605] 126.57/124.70 18608. 1032 | 0 | ~572 [avatar split clause 18603,7448,315,18605] 126.57/124.70 18609. ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ sK34 @ (sK17 @ sK34))) @ $false) | ($false = exists_in_world @ X0 @ X1) | ($false = rel_s4 @ X1 @ sK34) | ($false = rel_s4 @ sK13 @ X1) | ($false = rel_s4 @ X1 @ X2) | ($true = big_q @ X0 @ X2) <- {6, 594} [superposition 959,7663] 126.57/124.70 18613. 1034 <=> ! [X1,X0 : mu,X2] : (($false = exists_in_world @ X0 @ X1) | ($true = big_q @ X0 @ X2) | ($false = rel_s4 @ X1 @ X2) | ($false = rel_s4 @ sK13 @ X1) | ($false = rel_s4 @ X1 @ sK34)) [avatar definition] 126.57/124.70 18619. 1036 <=> ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ sK34 @ (sK17 @ sK34))) @ $false) [avatar definition] 126.57/124.70 18621. 1034 | 1036 | ~6 | ~594 [avatar split clause 18609,7662,368,18619,18613] 126.57/124.70 18630. ($false = $true) | ($false = rel_s4 @ sK22 @ X0) | ($false = rel_s4 @ X0 @ sK13) <- {690} [superposition 8962,253] 126.57/124.70 18631. ($false = $true) | ($false = rel_s4 @ sK22 @ X0) | ($false = rel_s4 @ X0 @ sK13) <- {690} [superposition 253,8962] 126.57/124.70 18633. 1038 <=> ! [X0] : (($false = rel_s4 @ sK22 @ X0) | ($false = rel_s4 @ X0 @ sK13)) [avatar definition] 126.57/124.70 18635. 1038 | 0 | ~690 [avatar split clause 18630,8961,315,18633] 126.57/124.70 18636. 1038 | 0 | ~690 [avatar split clause 18631,8961,315,18633] 126.57/124.70 18639. ($false = rel_s4 @ sK22 @ (sK17 @ sK13)) <- {226, 693, 717} [unit resulting resolution 9163,8965,3886] 126.57/124.70 18640. ($false = rel_s4 @ sK22 @ (sK17 @ sK18)) <- {226, 693, 707} [unit resulting resolution 9113,8965,3886] 126.57/124.70 18641. ($true = rel_s4 @ sK13 @ sK22) <- {129, 693} [unit resulting resolution 2286,8965,253] 126.57/124.70 18662. 1040 <=> ($true = rel_s4 @ sK13 @ sK22) [avatar definition] 126.57/124.70 18664. 1040 | 129 | 693 [avatar split clause 18641,8964,2285,18662] 126.57/124.70 18673. ($false = $true) | ($false = rel_s4 @ sK13 @ X0) | ($false = rel_s4 @ X0 @ sK22) <- {692} [superposition 8968,253] 126.57/124.70 18674. ($false = $true) | ($false = rel_s4 @ sK13 @ X0) | ($false = rel_s4 @ X0 @ sK22) <- {692} [superposition 253,8968] 126.57/124.70 18676. 1042 <=> ! [X0] : (($false = rel_s4 @ sK13 @ X0) | ($false = rel_s4 @ X0 @ sK22)) [avatar definition] 126.57/124.70 18678. 1042 | 0 | ~692 [avatar split clause 18673,8967,315,18676] 126.57/124.70 18679. 1042 | 0 | ~692 [avatar split clause 18674,8967,315,18676] 126.57/124.70 18686. ($false = rel_s4 @ sK22 @ (sK17 @ sK13)) <- {226, 693, 717} [unit resulting resolution 9163,8965,3886] 126.57/124.70 18687. ($false = rel_s4 @ sK22 @ (sK17 @ sK18)) <- {226, 693, 707} [unit resulting resolution 9113,8965,3886] 126.57/124.70 18707. ($false = rel_s4 @ sK18 @ (sK17 @ sK13)) <- {226, 701, 717} [unit resulting resolution 9163,9066,3886] 126.57/124.70 18708. ($false = rel_s4 @ sK18 @ (sK17 @ sK18)) <- {226, 701, 707} [unit resulting resolution 9113,9066,3886] 126.57/124.70 18712. ($true = rel_s4 @ sK13 @ sK23) <- {335, 701} [unit resulting resolution 4444,9066,253] 126.57/124.70 18724. ($false != $false) | ($true != exists_in_world @ sK20 @ X0) | ($true != rel_s4 @ X0 @ sK18) | ($false = rel_s4 @ sK18 @ sK22) | ($false = rel_s4 @ sK18 @ X1) | ($false = p @ (sK17 @ X1)) <- {701, 724} [superposition 9066,9304] 126.57/124.70 18730. ($true != exists_in_world @ sK20 @ X0) | ($true != rel_s4 @ X0 @ sK18) | ($false = rel_s4 @ sK18 @ sK22) | ($false = rel_s4 @ sK18 @ X1) | ($false = p @ (sK17 @ X1)) <- {701, 724} [trivial inequality removal 18724] 126.57/124.70 18731. ($false = $true) <- {335, 428, 701} [forward demodulation 18712,5450] 126.57/124.70 18732. 0 | 335 | ~428 | 701 [avatar split clause 18731,9065,5449,4443,315] 126.57/124.70 18735. ($false = p @ sK22) | ($true != exists_in_world @ sK20 @ X0) | ($true != rel_s4 @ X0 @ sK18) | ($false = rel_s4 @ sK18 @ X1) | ($false = p @ (sK17 @ X1)) <- {638, 701, 724} [forward demodulation 18730,8154] 126.57/124.70 18736. ($false = $true) | ($true != exists_in_world @ sK20 @ X0) | ($true != rel_s4 @ X0 @ sK18) | ($false = rel_s4 @ sK18 @ X1) | ($false = p @ (sK17 @ X1)) <- {638, 701, 724, 770} [forward demodulation 18735,9763] 126.57/124.70 18737. ($false = p @ X1) | ($false = $true) | ($true != exists_in_world @ sK20 @ X0) | ($true != rel_s4 @ X0 @ sK18) | ($false = p @ (sK17 @ X1)) <- {638, 701, 724, 770} [forward demodulation 18736,8154] 126.57/124.70 18741. 838 | 335 | 701 [avatar split clause 18712,9065,4443,10433] 126.57/124.70 18776. ($false = $true) | ($false = rel_s4 @ sK22 @ X0) | ($false = rel_s4 @ X0 @ sK18) <- {702} [superposition 9076,253] 126.57/124.70 18777. ($false = $true) | ($false = rel_s4 @ sK22 @ X0) | ($false = rel_s4 @ X0 @ sK18) <- {702} [superposition 253,9076] 126.57/124.70 18779. 1044 <=> ! [X0] : (($false = rel_s4 @ sK22 @ X0) | ($false = rel_s4 @ X0 @ sK18)) [avatar definition] 126.57/124.70 18781. 1044 | 0 | ~702 [avatar split clause 18776,9075,315,18779] 126.57/124.70 18782. 1044 | 0 | ~702 [avatar split clause 18777,9075,315,18779] 126.57/124.70 18791. ($false = $true) <- {728} [superposition 9320,258] 126.57/124.70 18793. ($false = $true) <- {728} [superposition 258,9320] 126.57/124.70 18800. 0 | ~728 [avatar split clause 18791,9319,315] 126.57/124.70 18801. 0 | ~728 [avatar split clause 18793,9319,315] 126.57/124.70 18851. ($false = $true) <- {734} [superposition 9419,258] 126.57/124.70 18853. ($false = $true) <- {734} [superposition 258,9419] 126.57/124.70 18860. 0 | ~734 [avatar split clause 18851,9418,315] 126.57/124.70 18861. 0 | ~734 [avatar split clause 18853,9418,315] 126.57/124.70 18871. ($true = rel_s4 @ sK18 @ sK19) <- {371, 735} [unit resulting resolution 4684,9416,253] 126.57/124.70 18912. ($false = $true) | ($false = rel_s4 @ sK19 @ X0) | ($false = rel_s4 @ X0 @ sK23) <- {776} [superposition 9823,253] 126.57/124.70 18913. ($false = $true) | ($false = rel_s4 @ sK19 @ X0) | ($false = rel_s4 @ X0 @ sK23) <- {776} [superposition 253,9823] 126.57/124.70 18915. 1046 <=> ! [X0] : (($false = rel_s4 @ sK19 @ X0) | ($false = rel_s4 @ X0 @ sK23)) [avatar definition] 126.57/124.70 18917. 1046 | 0 | ~776 [avatar split clause 18912,9822,315,18915] 126.57/124.70 18918. 1046 | 0 | ~776 [avatar split clause 18913,9822,315,18915] 126.57/124.70 18924. ($false = rel_s4 @ sK23 @ sK31) <- {254, 319, 777} [unit resulting resolution 4360,9820,4143] 126.57/124.70 18925. ($true = rel_s4 @ sK19 @ sK23) <- {427, 777} [unit resulting resolution 5441,9820,253] 126.57/124.70 18927. ($true = rel_s4 @ sK19 @ sK23) <- {735, 777} [unit resulting resolution 9416,9820,253] 126.57/124.70 18947. 1048 <=> ($true = rel_s4 @ sK19 @ sK23) [avatar definition] 126.57/124.70 18949. 1048 | 735 | 777 [avatar split clause 18927,9819,9415,18947] 126.57/124.70 18950. 1048 | 427 | 777 [avatar split clause 18925,9819,5440,18947] 126.57/124.70 18955. 1050 <=> ($false = rel_s4 @ sK23 @ sK31) [avatar definition] 126.57/124.70 18957. 1050 | ~254 | 319 | 777 [avatar split clause 18924,9819,4359,4142,18955] 126.57/124.70 18966. ($false = $true) | ($false = rel_s4 @ sK19 @ X0) | ($false = rel_s4 @ X0 @ sK31) <- {778} [superposition 9832,253] 126.57/124.70 18967. ($false = $true) | ($false = rel_s4 @ sK19 @ X0) | ($false = rel_s4 @ X0 @ sK31) <- {778} [superposition 253,9832] 126.57/124.70 18969. 1052 <=> ! [X0] : (($false = rel_s4 @ sK19 @ X0) | ($false = rel_s4 @ X0 @ sK31)) [avatar definition] 126.57/124.70 18971. 1052 | 0 | ~778 [avatar split clause 18966,9831,315,18969] 126.57/124.70 18972. 1052 | 0 | ~778 [avatar split clause 18967,9831,315,18969] 126.57/124.70 18978. ($false = rel_s4 @ sK31 @ (sK17 @ sK13)) <- {205, 254, 779} [unit resulting resolution 3758,9829,4143] 126.57/124.70 18979. ($false = rel_s4 @ sK31 @ (sK17 @ sK18)) <- {241, 254, 779} [unit resulting resolution 4049,9829,4143] 126.57/124.70 18981. ($true = rel_s4 @ sK19 @ sK31) <- {735, 779} [unit resulting resolution 9416,9829,253] 126.57/124.70 19001. 1054 <=> ($true = rel_s4 @ sK19 @ sK31) [avatar definition] 126.57/124.70 19003. 1054 | 735 | 779 [avatar split clause 18981,9828,9415,19001] 126.57/124.70 19008. 1056 <=> ($false = rel_s4 @ sK31 @ (sK17 @ sK18)) [avatar definition] 126.57/124.70 19010. 1056 | 241 | ~254 | 779 [avatar split clause 18979,9828,4142,4048,19008] 126.57/124.70 19015. 1058 <=> ($false = rel_s4 @ sK31 @ (sK17 @ sK13)) [avatar definition] 126.57/124.70 19017. 1058 | 205 | ~254 | 779 [avatar split clause 18978,9828,4142,3757,19015] 126.57/124.70 19026. ($false = $true) | ($false = rel_s4 @ sK22 @ X0) | ($false = rel_s4 @ X0 @ sK31) <- {788} [superposition 9999,253] 126.57/124.70 19027. ($false = $true) | ($false = rel_s4 @ sK22 @ X0) | ($false = rel_s4 @ X0 @ sK31) <- {788} [superposition 253,9999] 126.57/124.70 19029. 1060 <=> ! [X0] : (($false = rel_s4 @ sK22 @ X0) | ($false = rel_s4 @ X0 @ sK31)) [avatar definition] 126.57/124.70 19031. 1060 | 0 | ~788 [avatar split clause 19026,9998,315,19029] 126.57/124.70 19032. 1060 | 0 | ~788 [avatar split clause 19027,9998,315,19029] 126.57/124.70 19035. ($true = rel_s4 @ sK13 @ sK31) <- {693, 789} [unit resulting resolution 8965,9996,253] 126.57/124.70 19036. ($true = rel_s4 @ sK22 @ sK31) <- {729, 789} [unit resulting resolution 9317,9996,253] 126.57/124.70 19054. 1062 <=> ($true = rel_s4 @ sK22 @ sK31) [avatar definition] 126.57/124.70 19056. 1062 | 729 | 789 [avatar split clause 19036,9995,9316,19054] 126.57/124.70 19061. 1064 <=> ($true = rel_s4 @ sK13 @ sK31) [avatar definition] 126.57/124.70 19063. 1064 | 693 | 789 [avatar split clause 19035,9995,8964,19061] 126.57/124.70 19072. ($false = $true) | ($false = rel_s4 @ sK22 @ X0) | ($false = rel_s4 @ X0 @ sK23) <- {790} [superposition 10006,253] 126.57/124.70 19073. ($false = $true) | ($false = rel_s4 @ sK22 @ X0) | ($false = rel_s4 @ X0 @ sK23) <- {790} [superposition 253,10006] 126.57/124.70 19075. 1066 <=> ! [X0] : (($false = rel_s4 @ sK22 @ X0) | ($false = rel_s4 @ X0 @ sK23)) [avatar definition] 126.57/124.70 19077. 1066 | 0 | ~790 [avatar split clause 19072,10005,315,19075] 126.57/124.70 19078. 1066 | 0 | ~790 [avatar split clause 19073,10005,315,19075] 126.57/124.70 19079. ($false = $true) | ($true != rel_s4 @ X0 @ sK19) | ($true != exists_in_world @ sK39 @ X0) <- {870} [superposition 11333,206] 126.57/124.70 19080. ($false = $true) | ($true != rel_s4 @ X0 @ sK19) | ($true != exists_in_world @ sK39 @ X0) <- {870} [superposition 206,11333] 126.57/124.70 19082. 1068 <=> ! [X0] : (($true != rel_s4 @ X0 @ sK19) | ($true != exists_in_world @ sK39 @ X0)) [avatar definition] 126.57/124.70 19084. 1068 | 0 | ~870 [avatar split clause 19079,11332,315,19082] 126.57/124.70 19085. 1068 | 0 | ~870 [avatar split clause 19080,11332,315,19082] 126.57/124.70 19086. ($true != $true) | ($false = exists_in_world @ sK20 @ sK13) <- {993} [fool paramodulation 13129] 126.57/124.70 19087. ($true != rel_s4 @ sK19 @ sK13) <- {50, 993} [unit resulting resolution 1297,13129,206] 126.57/124.70 19089. ($true != rel_s4 @ sK28 @ sK13) <- {456, 993} [unit resulting resolution 6854,13129,206] 126.57/124.70 19090. ($true != rel_s4 @ sK30 @ sK13) <- {490, 993} [unit resulting resolution 7001,13129,206] 126.57/124.70 19091. ($true != exists_in_world @ sK20 @ sK12) <- {4, 993} [unit resulting resolution 362,13129,206] 126.57/124.70 19096. ($false = exists_in_world @ sK20 @ sK13) <- {993} [trivial inequality removal 19086] 126.57/124.70 19101. 1070 <=> ($false = exists_in_world @ sK20 @ sK13) [avatar definition] 126.57/124.70 19103. 1070 | 993 [avatar split clause 19096,13128,19101] 126.57/124.70 19108. 1073 <=> ($true != exists_in_world @ sK20 @ sK12) [avatar definition] 126.57/124.70 19110. ~1073 | ~4 | 993 [avatar split clause 19091,13128,361,19108] 126.57/124.70 19115. 1075 <=> ($true != rel_s4 @ sK30 @ sK13) [avatar definition] 126.57/124.70 19117. ~1075 | ~490 | 993 [avatar split clause 19090,13128,7000,19115] 126.57/124.70 19122. 1077 <=> ($true != rel_s4 @ sK28 @ sK13) [avatar definition] 126.57/124.70 19124. ~1077 | ~456 | 993 [avatar split clause 19089,13128,6853,19122] 126.57/124.70 19130. 1079 <=> ($true != rel_s4 @ sK19 @ sK13) [avatar definition] 126.57/124.70 19132. ~1079 | ~50 | 993 [avatar split clause 19087,13128,1296,19130] 126.57/124.70 19135. ($true = exists_in_world @ sK20 @ sK18) <- {34, 992} [unit resulting resolution 839,13126,206] 126.57/124.70 19143. ($false = $true) | ($false = p @ (sK17 @ X0)) | ($false = rel_s4 @ sK13 @ sK22) | ($false = rel_s4 @ sK13 @ sK13) | ($false = rel_s4 @ sK13 @ X0) <- {142, 992} [superposition 13126,2384] 126.57/124.70 19144. ($false = $true) | ($false = p @ (sK17 @ X0)) | ($false = rel_s4 @ sK13 @ sK22) | ($false = rel_s4 @ sK13 @ sK13) | ($false = rel_s4 @ sK13 @ X0) <- {142, 992} [superposition 2384,13126] 126.57/124.70 19145. ($false = $true) <- {34, 844, 992} [forward demodulation 19135,10465] 126.57/124.70 19146. 0 | ~34 | ~844 | ~992 [avatar split clause 19145,13125,10464,838,315] 126.57/124.70 19147. ($false = $true) | ($false = $true) | ($false = p @ (sK17 @ X0)) | ($false = rel_s4 @ sK13 @ sK22) | ($false = rel_s4 @ sK13 @ X0) <- {142, 992} [forward demodulation 19143,258] 126.57/124.70 19148. ($false = $true) | ($false = p @ (sK17 @ X0)) | ($false = rel_s4 @ sK13 @ sK22) | ($false = rel_s4 @ sK13 @ X0) <- {142, 992} [duplicate literal removal 19147] 126.57/124.70 19149. 692 | 130 | 0 | ~142 | ~992 [avatar split clause 19148,13125,2383,315,2291,8967] 126.57/124.70 19150. ($false = $true) | ($false = $true) | ($false = p @ (sK17 @ X0)) | ($false = rel_s4 @ sK13 @ sK22) | ($false = rel_s4 @ sK13 @ X0) <- {142, 992} [forward demodulation 19144,258] 126.57/124.70 19151. ($false = $true) | ($false = p @ (sK17 @ X0)) | ($false = rel_s4 @ sK13 @ sK22) | ($false = rel_s4 @ sK13 @ X0) <- {142, 992} [duplicate literal removal 19150] 126.57/124.70 19152. 692 | 130 | 0 | ~142 | ~992 [avatar split clause 19151,13125,2383,315,2291,8967] 126.57/124.70 19171. ($false = $true) | ($false = rel_s4 @ sK19 @ X0) | ($false = rel_s4 @ X0 @ sK13) <- {634} [superposition 8136,253] 126.57/124.70 19172. ($false = $true) | ($false = rel_s4 @ sK19 @ X0) | ($false = rel_s4 @ X0 @ sK13) <- {634} [superposition 253,8136] 126.57/124.70 19174. 1080 <=> ! [X0] : (($false = rel_s4 @ sK19 @ X0) | ($false = rel_s4 @ X0 @ sK13)) [avatar definition] 126.57/124.70 19176. 1080 | 0 | ~634 [avatar split clause 19171,8135,315,19174] 126.57/124.70 19177. 1080 | 0 | ~634 [avatar split clause 19172,8135,315,19174] 126.57/124.70 19202. ($false = $true) | ($false = rel_s4 @ sK19 @ X0) | ($false = rel_s4 @ X0 @ sK18) <- {680} [superposition 8848,253] 126.57/124.70 19203. ($false = $true) | ($false = rel_s4 @ sK19 @ X0) | ($false = rel_s4 @ X0 @ sK18) <- {680} [superposition 253,8848] 126.57/124.70 19204. 830 | 0 | ~680 [avatar split clause 19202,8847,315,10277] 126.57/124.70 19205. 830 | 0 | ~680 [avatar split clause 19203,8847,315,10277] 126.57/124.70 19217. ($false = $true) | ($false = rel_s4 @ sK28 @ X3) | ($false = rel_s4 @ X3 @ (sK17 @ sK28)) <- {536} [superposition 7223,253] 126.57/124.70 19220. ($false = $true) | ($false = rel_s4 @ sK28 @ X6) | ($false = rel_s4 @ X6 @ (sK17 @ sK28)) <- {536} [superposition 253,7223] 126.57/124.70 19222. 1082 <=> ! [X3] : (($false = rel_s4 @ sK28 @ X3) | ($false = rel_s4 @ X3 @ (sK17 @ sK28))) [avatar definition] 126.57/124.70 19224. 1082 | 0 | ~536 [avatar split clause 19217,7222,315,19222] 126.57/124.70 19225. 1082 | 0 | ~536 [avatar split clause 19220,7222,315,19222] 126.57/124.70 19227. ($false = p @ (sK17 @ (sK16 @ vSIGMA_16))) <- {138, 633} [unit resulting resolution 8113,2316] 126.57/124.70 19228. ($false = rel_s4 @ (sK16 @ vSIGMA_16) @ (sK17 @ sK13)) <- {205, 254, 633} [unit resulting resolution 3758,8113,4143] 126.57/124.70 19229. ($false = rel_s4 @ (sK16 @ vSIGMA_16) @ (sK17 @ sK18)) <- {241, 254, 633} [unit resulting resolution 4049,8113,4143] 126.57/124.70 19230. ($true = rel_s4 @ sK18 @ (sK16 @ vSIGMA_16)) <- {371, 633} [unit resulting resolution 4684,8113,253] 126.57/124.70 19231. ($true = rel_s4 @ sK19 @ (sK16 @ vSIGMA_16)) <- {633, 735} [unit resulting resolution 9416,8113,253] 126.57/124.70 19232. ($false = p @ (sK17 @ (sK16 @ vSIGMA_16))) <- {254, 633, 735} [unit resulting resolution 9416,8113,4143] 126.57/124.70 19233. ($true = p @ (sK16 @ vSIGMA_16)) <- {344, 371, 633} [unit resulting resolution 4684,8113,4529] 126.57/124.70 19243. ($false != $false) | ($false = p @ (sK17 @ (sK16 @ vSIGMA_16))) <- {138, 633} [superposition 8113,2316] 126.57/124.70 19245. ($false = p @ (sK17 @ (sK16 @ vSIGMA_16))) <- {138, 633} [trivial inequality removal 19243] 126.57/124.70 19251. 1084 <=> ($true = p @ (sK16 @ vSIGMA_16)) [avatar definition] 126.57/124.70 19253. 1084 | ~344 | 371 | 633 [avatar split clause 19233,8112,4683,4528,19251] 126.57/124.70 19258. 1086 <=> ($false = p @ (sK17 @ (sK16 @ vSIGMA_16))) [avatar definition] 126.57/124.70 19260. 1086 | ~254 | 633 | 735 [avatar split clause 19232,9415,8112,4142,19258] 126.57/124.70 19265. 1088 <=> ($true = rel_s4 @ sK19 @ (sK16 @ vSIGMA_16)) [avatar definition] 126.57/124.70 19267. 1088 | 633 | 735 [avatar split clause 19231,9415,8112,19265] 126.57/124.70 19268. ($true = p @ (sK16 @ vSIGMA_16)) <- {371, 633, 638} [forward demodulation 19230,8154] 126.57/124.70 19269. 1084 | 371 | 633 | ~638 [avatar split clause 19268,8153,8112,4683,19251] 126.57/124.70 19274. 1090 <=> ($false = rel_s4 @ (sK16 @ vSIGMA_16) @ (sK17 @ sK18)) [avatar definition] 126.57/124.70 19276. 1090 | 241 | ~254 | 633 [avatar split clause 19229,8112,4142,4048,19274] 126.57/124.70 19281. 1092 <=> ($false = rel_s4 @ (sK16 @ vSIGMA_16) @ (sK17 @ sK13)) [avatar definition] 126.57/124.70 19283. 1092 | 205 | ~254 | 633 [avatar split clause 19228,8112,4142,3757,19281] 126.57/124.70 19284. 1086 | ~138 | 633 [avatar split clause 19227,8112,2315,19258] 126.57/124.70 19285. 1086 | ~138 | 633 [avatar split clause 19245,8112,2315,19258] 126.57/124.70 19294. ($false = $true) | ($false = rel_s4 @ sK19 @ X0) | ($false = rel_s4 @ X0 @ (sK16 @ vSIGMA_16)) <- {632} [superposition 8116,253] 126.57/124.70 19295. ($false = $true) | ($false = rel_s4 @ sK19 @ X0) | ($false = rel_s4 @ X0 @ (sK16 @ vSIGMA_16)) <- {632} [superposition 253,8116] 126.57/124.70 19297. 1094 <=> ! [X0] : (($false = rel_s4 @ sK19 @ X0) | ($false = rel_s4 @ X0 @ (sK16 @ vSIGMA_16))) [avatar definition] 126.57/124.70 19299. 1094 | 0 | ~632 [avatar split clause 19294,8115,315,19297] 126.57/124.70 19300. 1094 | 0 | ~632 [avatar split clause 19295,8115,315,19297] 126.57/124.70 19313. ($true = rel_s4 @ sK19 @ sK18) <- {681, 735} [unit resulting resolution 9416,8845,253] 126.57/124.70 19316. rel_s4 @ sK18 = rel_s4 @ sK19 <- {371, 681} [unit resulting resolution 4684,8845,5049] 126.57/124.70 19317. rel_s4 @ sK18 = rel_s4 @ sK19 <- {371, 681} [unit resulting resolution 4684,8845,5049] 126.57/124.70 19319. rel_s4 @ sK18 = rel_s4 @ sK19 <- {371, 681, 735} [unit resulting resolution 4684,9416,8845,5075] 126.57/124.70 19320. rel_s4 @ sK18 = rel_s4 @ sK19 <- {371, 681, 735} [unit resulting resolution 4684,9416,8845,5075] 126.57/124.70 19321. rel_s4 @ sK18 = rel_s4 @ sK19 <- {371, 681} [unit resulting resolution 8845,4684,4684,8845,5599] 126.57/124.70 19323. rel_s4 @ sK18 = rel_s4 @ sK19 <- {371, 681} [unit resulting resolution 4684,8845,4684,8845,5599] 126.57/124.70 19324. rel_s4 @ sK18 = rel_s4 @ sK19 <- {371, 681, 735} [unit resulting resolution 4684,9416,9416,8845,5599] 126.57/124.70 19325. rel_s4 @ sK18 = rel_s4 @ sK19 <- {371, 681} [unit resulting resolution 8845,4684,4684,8845,5599] 126.57/124.70 19326. rel_s4 @ sK18 = rel_s4 @ sK19 <- {371, 681, 735} [unit resulting resolution 9416,4684,9416,8845,5599] 126.57/124.70 19327. rel_s4 @ sK18 = rel_s4 @ sK19 <- {371, 681} [unit resulting resolution 4684,8845,4684,8845,5599] 126.57/124.70 19329. rel_s4 @ sK18 = rel_s4 @ sK19 <- {371, 681, 735} [unit resulting resolution 8845,9416,4684,4684,8845,5856] 126.57/124.70 19332. rel_s4 @ sK18 = rel_s4 @ sK19 <- {371, 681, 735} [unit resulting resolution 9416,8845,4684,4684,8845,5856] 126.57/124.70 19333. rel_s4 @ sK18 = rel_s4 @ sK19 <- {371, 681, 735} [unit resulting resolution 8845,4684,9416,4684,8845,5856] 126.57/124.70 19335. rel_s4 @ sK18 = rel_s4 @ sK19 <- {371, 681, 735} [unit resulting resolution 9416,4684,8845,4684,8845,5856] 126.57/124.70 19336. rel_s4 @ sK18 = rel_s4 @ sK19 <- {371, 681, 735} [unit resulting resolution 4684,8845,9416,4684,8845,5856] 126.57/124.70 19337. rel_s4 @ sK18 = rel_s4 @ sK19 <- {371, 681, 735} [unit resulting resolution 9416,9416,9416,4684,8845,5856] 126.57/124.70 19339. rel_s4 @ sK18 = rel_s4 @ sK19 <- {371, 681, 735} [unit resulting resolution 4684,8845,4684,9416,8845,5856] 126.57/124.70 19341. rel_s4 @ sK18 = rel_s4 @ sK19 <- {371, 681, 735} [unit resulting resolution 8845,9416,4684,4684,8845,5856] 126.57/124.70 19342. rel_s4 @ sK18 = rel_s4 @ sK19 <- {371, 681, 735} [unit resulting resolution 4684,8845,9416,4684,8845,5856] 126.57/124.70 19343. rel_s4 @ sK18 = rel_s4 @ sK19 <- {371, 681, 735} [unit resulting resolution 9416,9416,9416,4684,8845,5856] 126.57/124.70 19357. p = rel_s4 @ sK19 <- {371, 638, 681, 735} [forward demodulation 19343,8154] 126.57/124.70 19358. 684 | 371 | ~638 | 681 | 735 [avatar split clause 19357,9415,8844,8153,4683,8859] 126.57/124.70 19359. p = rel_s4 @ sK19 <- {371, 638, 681, 735} [forward demodulation 19342,8154] 126.57/124.70 19360. 684 | 371 | ~638 | 681 | 735 [avatar split clause 19359,9415,8844,8153,4683,8859] 126.57/124.70 19361. p = rel_s4 @ sK19 <- {371, 638, 681, 735} [forward demodulation 19341,8154] 126.57/124.70 19362. 684 | 371 | ~638 | 681 | 735 [avatar split clause 19361,9415,8844,8153,4683,8859] 126.57/124.70 19363. p = rel_s4 @ sK19 <- {371, 638, 681, 735} [forward demodulation 19339,8154] 126.57/124.70 19364. 684 | 371 | ~638 | 681 | 735 [avatar split clause 19363,9415,8844,8153,4683,8859] 126.57/124.70 19365. p = rel_s4 @ sK19 <- {371, 638, 681, 735} [forward demodulation 19337,8154] 126.57/124.70 19366. 684 | 371 | ~638 | 681 | 735 [avatar split clause 19365,9415,8844,8153,4683,8859] 126.57/124.70 19367. p = rel_s4 @ sK19 <- {371, 638, 681, 735} [forward demodulation 19336,8154] 126.57/124.70 19368. 684 | 371 | ~638 | 681 | 735 [avatar split clause 19367,9415,8844,8153,4683,8859] 126.57/124.70 19369. p = rel_s4 @ sK19 <- {371, 638, 681, 735} [forward demodulation 19335,8154] 126.57/124.70 19370. 684 | 371 | ~638 | 681 | 735 [avatar split clause 19369,9415,8844,8153,4683,8859] 126.57/124.70 19371. p = rel_s4 @ sK19 <- {371, 638, 681, 735} [forward demodulation 19333,8154] 126.57/124.70 19372. 684 | 371 | ~638 | 681 | 735 [avatar split clause 19371,9415,8844,8153,4683,8859] 126.57/124.70 19373. p = rel_s4 @ sK19 <- {371, 638, 681, 735} [forward demodulation 19332,8154] 126.57/124.70 19374. 684 | 371 | ~638 | 681 | 735 [avatar split clause 19373,9415,8844,8153,4683,8859] 126.57/124.70 19375. p = rel_s4 @ sK19 <- {371, 638, 681, 735} [forward demodulation 19329,8154] 126.57/124.70 19376. 684 | 371 | ~638 | 681 | 735 [avatar split clause 19375,9415,8844,8153,4683,8859] 126.57/124.70 19377. p = rel_s4 @ sK19 <- {371, 638, 681} [forward demodulation 19327,8154] 126.57/124.70 19378. 684 | 371 | ~638 | 681 [avatar split clause 19377,8844,8153,4683,8859] 126.57/124.70 19379. p = rel_s4 @ sK19 <- {371, 638, 681, 735} [forward demodulation 19326,8154] 126.57/124.70 19380. 684 | 371 | ~638 | 681 | 735 [avatar split clause 19379,9415,8844,8153,4683,8859] 126.57/124.70 19381. p = rel_s4 @ sK19 <- {371, 638, 681} [forward demodulation 19325,8154] 126.57/124.70 19382. 684 | 371 | ~638 | 681 [avatar split clause 19381,8844,8153,4683,8859] 126.57/124.70 19383. p = rel_s4 @ sK19 <- {371, 638, 681, 735} [forward demodulation 19324,8154] 126.57/124.70 19384. 684 | 371 | ~638 | 681 | 735 [avatar split clause 19383,9415,8844,8153,4683,8859] 126.57/124.70 19385. p = rel_s4 @ sK19 <- {371, 638, 681} [forward demodulation 19323,8154] 126.57/124.70 19386. 684 | 371 | ~638 | 681 [avatar split clause 19385,8844,8153,4683,8859] 126.57/124.70 19387. p = rel_s4 @ sK19 <- {371, 638, 681} [forward demodulation 19321,8154] 126.57/124.70 19388. 684 | 371 | ~638 | 681 [avatar split clause 19387,8844,8153,4683,8859] 126.57/124.70 19389. p = rel_s4 @ sK19 <- {371, 638, 681, 735} [forward demodulation 19320,8154] 126.57/124.70 19390. 684 | 371 | ~638 | 681 | 735 [avatar split clause 19389,9415,8844,8153,4683,8859] 126.57/124.70 19391. p = rel_s4 @ sK19 <- {371, 638, 681, 735} [forward demodulation 19319,8154] 126.57/124.70 19392. 684 | 371 | ~638 | 681 | 735 [avatar split clause 19391,9415,8844,8153,4683,8859] 126.57/124.70 19393. p = rel_s4 @ sK19 <- {371, 638, 681} [forward demodulation 19317,8154] 126.57/124.70 19394. 684 | 371 | ~638 | 681 [avatar split clause 19393,8844,8153,4683,8859] 126.57/124.70 19395. p = rel_s4 @ sK19 <- {371, 638, 681} [forward demodulation 19316,8154] 126.57/124.70 19396. 684 | 371 | ~638 | 681 [avatar split clause 19395,8844,8153,4683,8859] 126.57/124.70 19401. 1096 <=> ($true = rel_s4 @ sK19 @ sK18) [avatar definition] 126.57/124.70 19403. 1096 | 681 | 735 [avatar split clause 19313,9415,8844,19401] 126.57/124.70 19415. ($false = $true) | ($false = rel_s4 @ sK23 @ X0) | ($false = rel_s4 @ X0 @ (sK17 @ sK13)) <- {766} [superposition 9698,253] 126.57/124.70 19416. ($false = $true) | ($false = rel_s4 @ sK23 @ X0) | ($false = rel_s4 @ X0 @ (sK17 @ sK13)) <- {766} [superposition 253,9698] 126.57/124.70 19418. 1098 <=> ! [X0] : (($false = rel_s4 @ sK23 @ X0) | ($false = rel_s4 @ X0 @ (sK17 @ sK13))) [avatar definition] 126.57/124.70 19420. 1098 | 0 | ~766 [avatar split clause 19415,9697,315,19418] 126.57/124.70 19421. 1098 | 0 | ~766 [avatar split clause 19416,9697,315,19418] 126.57/124.70 19431. ($false = $true) | ($false = rel_s4 @ sK13 @ X3) | ($false = rel_s4 @ X3 @ (sK17 @ sK13)) <- {768} [superposition 9706,253] 126.57/124.70 19434. ($false = $true) | ($false = rel_s4 @ sK13 @ X6) | ($false = rel_s4 @ X6 @ (sK17 @ sK13)) <- {768} [superposition 253,9706] 126.57/124.70 19436. 1100 <=> ! [X3] : (($false = rel_s4 @ sK13 @ X3) | ($false = rel_s4 @ X3 @ (sK17 @ sK13))) [avatar definition] 126.57/124.70 19438. 1100 | 0 | ~768 [avatar split clause 19431,9705,315,19436] 126.57/124.70 19439. 1100 | 0 | ~768 [avatar split clause 19434,9705,315,19436] 126.57/124.70 19448. ($false = $true) | ($false = rel_s4 @ sK23 @ X0) | ($false = rel_s4 @ X0 @ (sK17 @ sK18)) <- {780} [superposition 9846,253] 126.57/124.70 19449. ($false = $true) | ($false = rel_s4 @ sK23 @ X0) | ($false = rel_s4 @ X0 @ (sK17 @ sK18)) <- {780} [superposition 253,9846] 126.57/124.70 19451. 1102 <=> ! [X0] : (($false = rel_s4 @ sK23 @ X0) | ($false = rel_s4 @ X0 @ (sK17 @ sK18))) [avatar definition] 126.57/124.70 19453. 1102 | 0 | ~780 [avatar split clause 19448,9845,315,19451] 126.57/124.70 19454. 1102 | 0 | ~780 [avatar split clause 19449,9845,315,19451] 126.57/124.70 19463. ($false = $true) | ($false = rel_s4 @ sK13 @ X0) | ($false = rel_s4 @ X0 @ (sK17 @ sK18)) <- {784} [superposition 9861,253] 126.57/124.70 19464. ($false = $true) | ($false = rel_s4 @ sK13 @ X0) | ($false = rel_s4 @ X0 @ (sK17 @ sK18)) <- {784} [superposition 253,9861] 126.57/124.70 19466. 1104 <=> ! [X0] : (($false = rel_s4 @ sK13 @ X0) | ($false = rel_s4 @ X0 @ (sK17 @ sK18))) [avatar definition] 126.57/124.70 19468. 1104 | 0 | ~784 [avatar split clause 19463,9860,315,19466] 126.57/124.70 19469. 1104 | 0 | ~784 [avatar split clause 19464,9860,315,19466] 126.57/124.70 19478. ($false = $true) | ($false = rel_s4 @ sK22 @ X0) | ($false = rel_s4 @ X0 @ (sK17 @ sK18)) <- {792} [superposition 10013,253] 126.57/124.70 19479. ($false = $true) | ($false = rel_s4 @ sK22 @ X0) | ($false = rel_s4 @ X0 @ (sK17 @ sK18)) <- {792} [superposition 253,10013] 126.57/124.70 19481. 1106 <=> ! [X0] : (($false = rel_s4 @ sK22 @ X0) | ($false = rel_s4 @ X0 @ (sK17 @ sK18))) [avatar definition] 126.57/124.70 19483. 1106 | 0 | ~792 [avatar split clause 19478,10012,315,19481] 126.57/124.70 19484. 1106 | 0 | ~792 [avatar split clause 19479,10012,315,19481] 126.57/124.70 19485. 792 | ~226 | 693 | 707 [avatar split clause 18687,9112,8964,3885,10012] 126.57/124.70 19486. 792 | ~226 | 693 | 707 [avatar split clause 18640,9112,8964,3885,10012] 126.57/124.70 19508. ($false = $true) | ($false = rel_s4 @ sK22 @ X0) | ($false = rel_s4 @ X0 @ (sK17 @ sK13)) <- {794} [superposition 10020,253] 126.57/124.70 19509. ($false = $true) | ($false = rel_s4 @ sK22 @ X0) | ($false = rel_s4 @ X0 @ (sK17 @ sK13)) <- {794} [superposition 253,10020] 126.57/124.70 19511. 1108 <=> ! [X0] : (($false = rel_s4 @ sK22 @ X0) | ($false = rel_s4 @ X0 @ (sK17 @ sK13))) [avatar definition] 126.57/124.70 19513. 1108 | 0 | ~794 [avatar split clause 19508,10019,315,19511] 126.57/124.70 19514. 1108 | 0 | ~794 [avatar split clause 19509,10019,315,19511] 126.57/124.70 19515. 794 | ~226 | 693 | 717 [avatar split clause 18686,9162,8964,3885,10019] 126.57/124.70 19516. 794 | ~226 | 693 | 717 [avatar split clause 18639,9162,8964,3885,10019] 126.57/124.70 19531. ($true = rel_s4 @ sK19 @ (sK17 @ sK13)) <- {727, 795} [unit resulting resolution 9310,10017,253] 126.57/124.70 19532. ($true = rel_s4 @ sK22 @ (sK17 @ sK13)) <- {729, 795} [unit resulting resolution 9317,10017,253] 126.57/124.70 19535. ($false = rel_s4 @ sK18 @ sK22) <- {344, 717, 795} [unit resulting resolution 9163,10017,4529] 126.57/124.70 19545. ($false = p @ sK22) <- {344, 638, 717, 795} [forward demodulation 19535,8154] 126.57/124.70 19550. 1110 <=> ($false = p @ sK22) [avatar definition] 126.57/124.70 19552. 1110 | ~344 | ~638 | 717 | 795 [avatar split clause 19545,10016,9162,8153,4528,19550] 126.57/124.70 19557. 1112 <=> ($true = rel_s4 @ sK22 @ (sK17 @ sK13)) [avatar definition] 126.57/124.70 19559. 1112 | 729 | 795 [avatar split clause 19532,10016,9316,19557] 126.57/124.70 19560. ($false = $true) <- {727, 764, 795} [forward demodulation 19531,9691] 126.57/124.70 19561. 0 | 727 | ~764 | 795 [avatar split clause 19560,10016,9690,9309,315] 126.57/124.70 19603. ($true != rel_s4 @ sK13 @ (sK10 @ p @ (rel_s4 @ sK13))) <- {677, 803} [unit resulting resolution 8828,10071,342] 126.57/124.70 19613. ($false != $false) | p = rel_s4 @ sK13 | ($true != rel_s4 @ sK13 @ (sK10 @ p @ (rel_s4 @ sK13))) <- {803} [superposition 10071,342] 126.57/124.70 19614. p = rel_s4 @ sK13 | ($true != rel_s4 @ sK13 @ (sK10 @ p @ (rel_s4 @ sK13))) <- {803} [trivial inequality removal 19613] 126.57/124.70 19619. 1115 <=> ($true != rel_s4 @ sK13 @ (sK10 @ p @ (rel_s4 @ sK13))) [avatar definition] 126.57/124.70 19621. ~1115 | 677 | 803 [avatar split clause 19603,10070,8827,19619] 126.57/124.70 19622. ~1115 | 676 | 803 [avatar split clause 19614,10070,8830,19619] 126.57/124.70 19635. ($false = $true) | ($true = p @ X1) | ($false = rel_s4 @ sK23 @ X2) | ($false = rel_s4 @ X2 @ X1) <- {335, 344} [superposition 7433,253] 126.57/124.70 19636. ($false = $true) | ($true = p @ (sK17 @ sK23)) | ($false = exists_in_world @ X202 @ X203) | ($false = rel_s4 @ X203 @ sK23) | ($false = rel_s4 @ sK13 @ X203) | ($false = rel_s4 @ X203 @ X204) | ($true = big_q @ X202 @ X204) <- {6, 335, 344} [superposition 7433,1389] 126.57/124.70 19638. ($false = $true) | ($false = rel_s4 @ sK23 @ X1) | ($false = rel_s4 @ X1 @ X0) | ($true = p @ X0) <- {335, 344} [superposition 253,7433] 126.57/124.70 19684. ($false = $true) | ($false = exists_in_world @ X346 @ X347) | ($false = rel_s4 @ X347 @ sK23) | ($false = rel_s4 @ sK13 @ X347) | ($false = rel_s4 @ X347 @ X348) | ($true = big_q @ X346 @ X348) | ($true = p @ (sK17 @ sK23)) <- {6, 335, 344} [superposition 1389,7433] 126.57/124.70 19685. ($false = vOR_37 @ (vNOT_33 @ $false) @ (p @ (sK17 @ sK23))) | ($false = exists_in_world @ X349 @ X350) | ($false = rel_s4 @ X350 @ sK23) | ($false = rel_s4 @ sK13 @ X350) | ($false = rel_s4 @ X350 @ X351) | ($true = big_q @ X349 @ X351) | ($true = p @ (sK17 @ sK23)) <- {6, 335, 344} [superposition 959,7433] 126.57/124.70 19697. 1116 <=> ! [X1,X2] : (($true = p @ X1) | ($false = rel_s4 @ sK23 @ X2) | ($false = rel_s4 @ X2 @ X1)) [avatar definition] 126.57/124.70 19699. 1116 | 0 | 335 | ~344 [avatar split clause 19635,4528,4443,315,19697] 126.57/124.70 19700. ($false = $true) | ($false = $true) | ($false = exists_in_world @ X202 @ X203) | ($false = rel_s4 @ X203 @ sK23) | ($false = rel_s4 @ sK13 @ X203) | ($false = rel_s4 @ X203 @ X204) | ($true = big_q @ X202 @ X204) <- {6, 244, 335, 344} [forward demodulation 19636,4063] 126.57/124.70 19701. ($false = $true) | ($false = exists_in_world @ X202 @ X203) | ($false = rel_s4 @ X203 @ sK23) | ($false = rel_s4 @ sK13 @ X203) | ($false = rel_s4 @ X203 @ X204) | ($true = big_q @ X202 @ X204) <- {6, 244, 335, 344} [duplicate literal removal 19700] 126.57/124.70 19702. 436 | 0 | ~6 | ~244 | 335 | ~344 [avatar split clause 19701,4528,4443,4062,368,315,6778] 126.57/124.70 19703. 1116 | 0 | 335 | ~344 [avatar split clause 19638,4528,4443,315,19697] 126.57/124.70 19704. ($false = $true) | ($false = $true) | ($false = exists_in_world @ X346 @ X347) | ($false = rel_s4 @ X347 @ sK23) | ($false = rel_s4 @ sK13 @ X347) | ($false = rel_s4 @ X347 @ X348) | ($true = big_q @ X346 @ X348) <- {6, 244, 335, 344} [forward demodulation 19684,4063] 126.57/124.70 19705. ($false = $true) | ($false = exists_in_world @ X346 @ X347) | ($false = rel_s4 @ X347 @ sK23) | ($false = rel_s4 @ sK13 @ X347) | ($false = rel_s4 @ X347 @ X348) | ($true = big_q @ X346 @ X348) <- {6, 244, 335, 344} [duplicate literal removal 19704] 126.57/124.70 19706. 436 | 0 | ~6 | ~244 | 335 | ~344 [avatar split clause 19705,4528,4443,4062,368,315,6778] 126.57/124.70 19707. ($false = vOR_37 @ (vNOT_33 @ $false) @ $false) | ($false = exists_in_world @ X349 @ X350) | ($false = rel_s4 @ X350 @ sK23) | ($false = rel_s4 @ sK13 @ X350) | ($false = rel_s4 @ X350 @ X351) | ($true = big_q @ X349 @ X351) | ($true = p @ (sK17 @ sK23)) <- {6, 244, 335, 344} [forward demodulation 19685,4063] 126.57/124.70 19708. ($false = $true) | ($false = vOR_37 @ (vNOT_33 @ $false) @ $false) | ($false = exists_in_world @ X349 @ X350) | ($false = rel_s4 @ X350 @ sK23) | ($false = rel_s4 @ sK13 @ X350) | ($false = rel_s4 @ X350 @ X351) | ($true = big_q @ X349 @ X351) <- {6, 244, 335, 344} [forward demodulation 19707,4063] 126.57/124.70 19709. 436 | 252 | 0 | ~6 | ~244 | 335 | ~344 [avatar split clause 19708,4528,4443,4062,368,315,4084,6778] 126.57/124.70 19710. ($false = rel_s4 @ sK29 @ (sK17 @ sK13)) <- {576, 717} [unit resulting resolution 9163,7458] 126.57/124.70 19711. ($false = rel_s4 @ sK29 @ (sK17 @ sK18)) <- {576, 707} [unit resulting resolution 9113,7458] 126.57/124.70 19721. ($false = $true) | ($true = p @ X1) | ($false = rel_s4 @ sK29 @ X2) | ($false = rel_s4 @ X2 @ X1) <- {576} [superposition 7458,253] 126.57/124.70 19722. ($false = $true) | ($true = p @ (sK17 @ sK29)) | ($false = exists_in_world @ X202 @ X203) | ($false = rel_s4 @ X203 @ sK29) | ($false = rel_s4 @ sK13 @ X203) | ($false = rel_s4 @ X203 @ X204) | ($true = big_q @ X202 @ X204) <- {6, 576} [superposition 7458,1389] 126.57/124.70 19724. ($false = $true) | ($false = rel_s4 @ sK29 @ X1) | ($false = rel_s4 @ X1 @ X0) | ($true = p @ X0) <- {576} [superposition 253,7458] 126.57/124.70 19770. ($false = $true) | ($false = exists_in_world @ X346 @ X347) | ($false = rel_s4 @ X347 @ sK29) | ($false = rel_s4 @ sK13 @ X347) | ($false = rel_s4 @ X347 @ X348) | ($true = big_q @ X346 @ X348) | ($true = p @ (sK17 @ sK29)) <- {6, 576} [superposition 1389,7458] 126.57/124.70 19771. ($false = vOR_37 @ (vNOT_33 @ $false) @ (p @ (sK17 @ sK29))) | ($false = exists_in_world @ X349 @ X350) | ($false = rel_s4 @ X350 @ sK29) | ($false = rel_s4 @ sK13 @ X350) | ($false = rel_s4 @ X350 @ X351) | ($true = big_q @ X349 @ X351) | ($true = p @ (sK17 @ sK29)) <- {6, 576} [superposition 959,7458] 126.57/124.70 19784. 1118 <=> ($false = rel_s4 @ sK29 @ (sK17 @ sK18)) [avatar definition] 126.57/124.70 19786. 1118 | ~576 | 707 [avatar split clause 19711,9112,7457,19784] 126.57/124.70 19791. 1120 <=> ($false = rel_s4 @ sK29 @ (sK17 @ sK13)) [avatar definition] 126.57/124.70 19793. 1120 | ~576 | 717 [avatar split clause 19710,9162,7457,19791] 126.57/124.70 19795. 1122 <=> ! [X1,X2] : (($true = p @ X1) | ($false = rel_s4 @ sK29 @ X2) | ($false = rel_s4 @ X2 @ X1)) [avatar definition] 126.57/124.70 19797. 1122 | 0 | ~576 [avatar split clause 19721,7457,315,19795] 126.57/124.70 19798. ($false = $true) | ($false = $true) | ($false = exists_in_world @ X202 @ X203) | ($false = rel_s4 @ X203 @ sK29) | ($false = rel_s4 @ sK13 @ X203) | ($false = rel_s4 @ X203 @ X204) | ($true = big_q @ X202 @ X204) <- {6, 290, 576} [forward demodulation 19722,4267] 126.57/124.70 19799. ($false = $true) | ($false = exists_in_world @ X202 @ X203) | ($false = rel_s4 @ X203 @ sK29) | ($false = rel_s4 @ sK13 @ X203) | ($false = rel_s4 @ X203 @ X204) | ($true = big_q @ X202 @ X204) <- {6, 290, 576} [duplicate literal removal 19798] 126.57/124.70 19800. 476 | 0 | ~6 | ~290 | ~576 [avatar split clause 19799,7457,4266,368,315,6945] 126.57/124.70 19801. 1122 | 0 | ~576 [avatar split clause 19724,7457,315,19795] 126.57/124.70 19802. ($false = $true) | ($false = $true) | ($false = exists_in_world @ X346 @ X347) | ($false = rel_s4 @ X347 @ sK29) | ($false = rel_s4 @ sK13 @ X347) | ($false = rel_s4 @ X347 @ X348) | ($true = big_q @ X346 @ X348) <- {6, 290, 576} [forward demodulation 19770,4267] 126.57/124.70 19803. ($false = $true) | ($false = exists_in_world @ X346 @ X347) | ($false = rel_s4 @ X347 @ sK29) | ($false = rel_s4 @ sK13 @ X347) | ($false = rel_s4 @ X347 @ X348) | ($true = big_q @ X346 @ X348) <- {6, 290, 576} [duplicate literal removal 19802] 126.57/124.70 19804. 476 | 0 | ~6 | ~290 | ~576 [avatar split clause 19803,7457,4266,368,315,6945] 126.57/124.70 19805. ($false = vOR_37 @ (vNOT_33 @ $false) @ $false) | ($false = exists_in_world @ X349 @ X350) | ($false = rel_s4 @ X350 @ sK29) | ($false = rel_s4 @ sK13 @ X350) | ($false = rel_s4 @ X350 @ X351) | ($true = big_q @ X349 @ X351) | ($true = p @ (sK17 @ sK29)) <- {6, 290, 576} [forward demodulation 19771,4267] 126.57/124.70 19806. ($false = $true) | ($false = vOR_37 @ (vNOT_33 @ $false) @ $false) | ($false = exists_in_world @ X349 @ X350) | ($false = rel_s4 @ X350 @ sK29) | ($false = rel_s4 @ sK13 @ X350) | ($false = rel_s4 @ X350 @ X351) | ($true = big_q @ X349 @ X351) <- {6, 290, 576} [forward demodulation 19805,4267] 126.57/124.70 19807. 476 | 252 | 0 | ~6 | ~290 | ~576 [avatar split clause 19806,7457,4266,368,315,4084,6945] 126.57/124.70 19821. ($false = $true) | ($true = p @ X1) | ($false = rel_s4 @ sK31 @ X2) | ($false = rel_s4 @ X2 @ X1) <- {578} [superposition 7462,253] 126.57/124.70 19822. ($false = $true) | ($true = p @ (sK17 @ sK31)) | ($false = exists_in_world @ X202 @ X203) | ($false = rel_s4 @ X203 @ sK31) | ($false = rel_s4 @ sK13 @ X203) | ($false = rel_s4 @ X203 @ X204) | ($true = big_q @ X202 @ X204) <- {6, 578} [superposition 7462,1389] 126.57/124.70 19824. ($false = $true) | ($false = rel_s4 @ sK31 @ X1) | ($false = rel_s4 @ X1 @ X0) | ($true = p @ X0) <- {578} [superposition 253,7462] 126.57/124.70 19870. ($false = $true) | ($false = exists_in_world @ X346 @ X347) | ($false = rel_s4 @ X347 @ sK31) | ($false = rel_s4 @ sK13 @ X347) | ($false = rel_s4 @ X347 @ X348) | ($true = big_q @ X346 @ X348) | ($true = p @ (sK17 @ sK31)) <- {6, 578} [superposition 1389,7462] 126.57/124.70 19871. ($false = vOR_37 @ (vNOT_33 @ $false) @ (p @ (sK17 @ sK31))) | ($false = exists_in_world @ X349 @ X350) | ($false = rel_s4 @ X350 @ sK31) | ($false = rel_s4 @ sK13 @ X350) | ($false = rel_s4 @ X350 @ X351) | ($true = big_q @ X349 @ X351) | ($true = p @ (sK17 @ sK31)) <- {6, 578} [superposition 959,7462] 126.57/124.70 19881. 1124 <=> ! [X1,X2] : (($true = p @ X1) | ($false = rel_s4 @ sK31 @ X2) | ($false = rel_s4 @ X2 @ X1)) [avatar definition] 126.57/124.70 19883. 1124 | 0 | ~578 [avatar split clause 19821,7461,315,19881] 126.57/124.70 19884. ($false = $true) | ($false = $true) | ($false = exists_in_world @ X202 @ X203) | ($false = rel_s4 @ X203 @ sK31) | ($false = rel_s4 @ sK13 @ X203) | ($false = rel_s4 @ X203 @ X204) | ($true = big_q @ X202 @ X204) <- {6, 318, 578} [forward demodulation 19822,4363] 126.57/124.70 19885. ($false = $true) | ($false = exists_in_world @ X202 @ X203) | ($false = rel_s4 @ X203 @ sK31) | ($false = rel_s4 @ sK13 @ X203) | ($false = rel_s4 @ X203 @ X204) | ($true = big_q @ X202 @ X204) <- {6, 318, 578} [duplicate literal removal 19884] 126.57/124.70 19886. 510 | 0 | ~6 | ~318 | ~578 [avatar split clause 19885,7461,4362,368,315,7092] 126.57/124.70 19887. 1124 | 0 | ~578 [avatar split clause 19824,7461,315,19881] 126.57/124.70 19888. ($false = $true) | ($false = $true) | ($false = exists_in_world @ X346 @ X347) | ($false = rel_s4 @ X347 @ sK31) | ($false = rel_s4 @ sK13 @ X347) | ($false = rel_s4 @ X347 @ X348) | ($true = big_q @ X346 @ X348) <- {6, 318, 578} [forward demodulation 19870,4363] 126.57/124.70 19889. ($false = $true) | ($false = exists_in_world @ X346 @ X347) | ($false = rel_s4 @ X347 @ sK31) | ($false = rel_s4 @ sK13 @ X347) | ($false = rel_s4 @ X347 @ X348) | ($true = big_q @ X346 @ X348) <- {6, 318, 578} [duplicate literal removal 19888] 126.57/124.70 19890. 510 | 0 | ~6 | ~318 | ~578 [avatar split clause 19889,7461,4362,368,315,7092] 126.57/124.70 19891. ($false = vOR_37 @ (vNOT_33 @ $false) @ $false) | ($false = exists_in_world @ X349 @ X350) | ($false = rel_s4 @ X350 @ sK31) | ($false = rel_s4 @ sK13 @ X350) | ($false = rel_s4 @ X350 @ X351) | ($true = big_q @ X349 @ X351) | ($true = p @ (sK17 @ sK31)) <- {6, 318, 578} [forward demodulation 19871,4363] 126.57/124.70 19892. ($false = $true) | ($false = vOR_37 @ (vNOT_33 @ $false) @ $false) | ($false = exists_in_world @ X349 @ X350) | ($false = rel_s4 @ X350 @ sK31) | ($false = rel_s4 @ sK13 @ X350) | ($false = rel_s4 @ X350 @ X351) | ($true = big_q @ X349 @ X351) <- {6, 318, 578} [forward demodulation 19891,4363] 126.57/124.70 19893. 510 | 252 | 0 | ~6 | ~318 | ~578 [avatar split clause 19892,7461,4362,368,315,4084,7092] 126.57/124.70 19894. ($false = rel_s4 @ sK34 @ (sK17 @ sK13)) <- {584, 717} [unit resulting resolution 9163,7482] 126.57/124.70 19895. ($false = rel_s4 @ sK34 @ (sK17 @ sK18)) <- {584, 707} [unit resulting resolution 9113,7482] 126.57/124.70 19905. ($false = $true) | ($true = p @ X1) | ($false = rel_s4 @ sK34 @ X2) | ($false = rel_s4 @ X2 @ X1) <- {584} [superposition 7482,253] 126.57/124.70 19906. ($false = $true) | ($true = p @ (sK17 @ sK34)) | ($false = exists_in_world @ X202 @ X203) | ($false = rel_s4 @ X203 @ sK34) | ($false = rel_s4 @ sK13 @ X203) | ($false = rel_s4 @ X203 @ X204) | ($true = big_q @ X202 @ X204) <- {6, 584} [superposition 7482,1389] 126.57/124.70 19908. ($false = $true) | ($false = rel_s4 @ sK34 @ X1) | ($false = rel_s4 @ X1 @ X0) | ($true = p @ X0) <- {584} [superposition 253,7482] 126.57/124.70 19954. ($false = $true) | ($false = exists_in_world @ X346 @ X347) | ($false = rel_s4 @ X347 @ sK34) | ($false = rel_s4 @ sK13 @ X347) | ($false = rel_s4 @ X347 @ X348) | ($true = big_q @ X346 @ X348) | ($true = p @ (sK17 @ sK34)) <- {6, 584} [superposition 1389,7482] 126.57/124.70 19955. ($false = vOR_37 @ (vNOT_33 @ $false) @ (p @ (sK17 @ sK34))) | ($false = exists_in_world @ X349 @ X350) | ($false = rel_s4 @ X350 @ sK34) | ($false = rel_s4 @ sK13 @ X350) | ($false = rel_s4 @ X350 @ X351) | ($true = big_q @ X349 @ X351) | ($true = p @ (sK17 @ sK34)) <- {6, 584} [superposition 959,7482] 126.57/124.70 19968. 1126 <=> ($false = rel_s4 @ sK34 @ (sK17 @ sK18)) [avatar definition] 126.57/124.70 19970. 1126 | ~584 | 707 [avatar split clause 19895,9112,7481,19968] 126.57/124.70 19975. 1128 <=> ($false = rel_s4 @ sK34 @ (sK17 @ sK13)) [avatar definition] 126.57/124.70 19977. 1128 | ~584 | 717 [avatar split clause 19894,9162,7481,19975] 126.57/124.70 19979. 1130 <=> ! [X1,X2] : (($true = p @ X1) | ($false = rel_s4 @ sK34 @ X2) | ($false = rel_s4 @ X2 @ X1)) [avatar definition] 126.57/124.70 19981. 1130 | 0 | ~584 [avatar split clause 19905,7481,315,19979] 126.57/124.70 19982. ($false = $true) | ($false = $true) | ($false = exists_in_world @ X202 @ X203) | ($false = rel_s4 @ X203 @ sK34) | ($false = rel_s4 @ sK13 @ X203) | ($false = rel_s4 @ X203 @ X204) | ($true = big_q @ X202 @ X204) <- {6, 584, 594} [forward demodulation 19906,7663] 126.57/124.70 19983. ($false = $true) | ($false = exists_in_world @ X202 @ X203) | ($false = rel_s4 @ X203 @ sK34) | ($false = rel_s4 @ sK13 @ X203) | ($false = rel_s4 @ X203 @ X204) | ($true = big_q @ X202 @ X204) <- {6, 584, 594} [duplicate literal removal 19982] 126.57/124.70 19984. 1034 | 0 | ~6 | ~584 | ~594 [avatar split clause 19983,7662,7481,368,315,18613] 126.57/124.70 19985. 1130 | 0 | ~584 [avatar split clause 19908,7481,315,19979] 126.57/124.70 19986. ($false = $true) | ($false = $true) | ($false = exists_in_world @ X346 @ X347) | ($false = rel_s4 @ X347 @ sK34) | ($false = rel_s4 @ sK13 @ X347) | ($false = rel_s4 @ X347 @ X348) | ($true = big_q @ X346 @ X348) <- {6, 584, 594} [forward demodulation 19954,7663] 126.57/124.70 19987. ($false = $true) | ($false = exists_in_world @ X346 @ X347) | ($false = rel_s4 @ X347 @ sK34) | ($false = rel_s4 @ sK13 @ X347) | ($false = rel_s4 @ X347 @ X348) | ($true = big_q @ X346 @ X348) <- {6, 584, 594} [duplicate literal removal 19986] 126.57/124.70 19988. 1034 | 0 | ~6 | ~584 | ~594 [avatar split clause 19987,7662,7481,368,315,18613] 126.57/124.70 19989. ($false = vOR_37 @ (vNOT_33 @ $false) @ $false) | ($false = exists_in_world @ X349 @ X350) | ($false = rel_s4 @ X350 @ sK34) | ($false = rel_s4 @ sK13 @ X350) | ($false = rel_s4 @ X350 @ X351) | ($true = big_q @ X349 @ X351) | ($true = p @ (sK17 @ sK34)) <- {6, 584, 594} [forward demodulation 19955,7663] 126.57/124.70 19990. ($false = $true) | ($false = vOR_37 @ (vNOT_33 @ $false) @ $false) | ($false = exists_in_world @ X349 @ X350) | ($false = rel_s4 @ X350 @ sK34) | ($false = rel_s4 @ sK13 @ X350) | ($false = rel_s4 @ X350 @ X351) | ($true = big_q @ X349 @ X351) <- {6, 584, 594} [forward demodulation 19989,7663] 126.57/124.70 19991. 1034 | 252 | 0 | ~6 | ~584 | ~594 [avatar split clause 19990,7662,7481,368,315,4084,18613] 126.57/124.70 19993. ($true != vPI_16 @ (sK0 @ vSIGMA_16 @ vPI_16)) <- {423, 622} [unit resulting resolution 5167,8092] 126.57/124.70 19994. ($true != vPI_16 @ (sK0 @ vSIGMA_16 @ vPI_16)) | vPI_16 = vSIGMA_16 <- {622} [extended narrowing 8092] 126.57/124.70 19997. ($false = sK0 @ vSIGMA_16 @ vPI_16 @ sK40) | vPI_16 = vSIGMA_16 <- {622} [HOL SIGMA constant elimination 19994] 126.57/124.70 19998. ($false = sK0 @ vSIGMA_16 @ vPI_16 @ sK41) <- {423, 622} [HOL SIGMA constant elimination 19993] 126.57/124.70 20004. 1132 <=> ($false = sK0 @ vSIGMA_16 @ vPI_16 @ sK41) [avatar definition] 126.57/124.70 20006. 1132 | 423 | ~622 [avatar split clause 19998,8091,5166,20004] 126.57/124.70 20011. 1134 <=> ($false = sK0 @ vSIGMA_16 @ vPI_16 @ sK40) [avatar definition] 126.57/124.70 20013. 422 | 1134 | ~622 [avatar split clause 19997,8091,20011,5169] 126.57/124.70 20019. ($false = p @ (sK17 @ sK23)) <- {651, 704} [unit resulting resolution 8548,9104] 126.57/124.70 20034. ($false = $true) | ($false = rel_s4 @ (sK17 @ sK13) @ X3) | ($false = rel_s4 @ X3 @ (sK17 @ (sK17 @ sK13))) <- {534} [superposition 7216,253] 126.57/124.70 20037. ($false = $true) | ($false = rel_s4 @ (sK17 @ sK13) @ X6) | ($false = rel_s4 @ X6 @ (sK17 @ (sK17 @ sK13))) <- {534} [superposition 253,7216] 126.57/124.70 20039. 1136 <=> ! [X3] : (($false = rel_s4 @ (sK17 @ sK13) @ X3) | ($false = rel_s4 @ X3 @ (sK17 @ (sK17 @ sK13)))) [avatar definition] 126.57/124.70 20041. 1136 | 0 | ~534 [avatar split clause 20034,7215,315,20039] 126.57/124.70 20042. 1136 | 0 | ~534 [avatar split clause 20037,7215,315,20039] 126.57/124.70 20059. ($true != $true) | ($false = rel_s4 @ sK18 @ (sK10 @ p @ (rel_s4 @ sK18))) <- {641} [fool paramodulation 8171] 126.57/124.70 20060. ($false = rel_s4 @ sK19 @ (sK10 @ p @ (rel_s4 @ sK18))) <- {371, 641} [unit resulting resolution 4684,8171,253] 126.57/124.70 20061. ($false = rel_s4 @ sK23 @ (sK10 @ p @ (rel_s4 @ sK18))) <- {335, 641} [unit resulting resolution 4444,8171,253] 126.57/124.70 20088. ($false = rel_s4 @ sK18 @ (sK10 @ p @ (rel_s4 @ sK18))) <- {641} [trivial inequality removal 20059] 126.57/124.70 20090. ($false = rel_s4 @ sK23 @ (sK10 @ p @ p)) <- {335, 638, 641} [forward demodulation 20061,8154] 126.57/124.70 20095. 1138 <=> ($false = rel_s4 @ sK23 @ (sK10 @ p @ p)) [avatar definition] 126.57/124.70 20097. 1138 | 335 | ~638 | 641 [avatar split clause 20090,8170,8153,4443,20095] 126.57/124.70 20098. ($false = rel_s4 @ sK19 @ (sK10 @ p @ p)) <- {371, 638, 641} [forward demodulation 20060,8154] 126.57/124.70 20103. 1140 <=> ($false = rel_s4 @ sK19 @ (sK10 @ p @ p)) [avatar definition] 126.57/124.70 20105. 1140 | 371 | ~638 | 641 [avatar split clause 20098,8170,8153,4683,20103] 126.57/124.70 20138. ($false = $true) | ($false = p @ (sK17 @ X1)) | ($false = rel_s4 @ sK22 @ X2) | ($false = rel_s4 @ X2 @ X1) <- {614} [superposition 7852,253] 126.57/124.70 20141. ($false = $true) | ($false = rel_s4 @ sK22 @ X1) | ($false = rel_s4 @ X1 @ X0) | ($false = p @ (sK17 @ X0)) <- {614} [superposition 253,7852] 126.57/124.70 20202. 1142 <=> ! [X1,X2] : (($false = p @ (sK17 @ X1)) | ($false = rel_s4 @ sK22 @ X2) | ($false = rel_s4 @ X2 @ X1)) [avatar definition] 126.57/124.70 20204. 1142 | 0 | ~614 [avatar split clause 20138,7851,315,20202] 126.57/124.70 20205. 1142 | 0 | ~614 [avatar split clause 20141,7851,315,20202] 126.57/124.70 20215. ($false = $true) | ($false = p @ (sK17 @ X1)) | ($false = rel_s4 @ sK28 @ X2) | ($false = rel_s4 @ X2 @ X1) <- {616} [superposition 7856,253] 126.57/124.70 20218. ($false = $true) | ($false = rel_s4 @ sK28 @ X1) | ($false = rel_s4 @ X1 @ X0) | ($false = p @ (sK17 @ X0)) <- {616} [superposition 253,7856] 126.57/124.70 20275. 1144 <=> ! [X1,X2] : (($false = p @ (sK17 @ X1)) | ($false = rel_s4 @ sK28 @ X2) | ($false = rel_s4 @ X2 @ X1)) [avatar definition] 126.57/124.70 20277. 1144 | 0 | ~616 [avatar split clause 20215,7855,315,20275] 126.57/124.70 20278. 1144 | 0 | ~616 [avatar split clause 20218,7855,315,20275] 126.57/124.70 20288. ($false = $true) | ($false = p @ (sK17 @ X1)) | ($false = rel_s4 @ sK30 @ X2) | ($false = rel_s4 @ X2 @ X1) <- {618} [superposition 7860,253] 126.57/124.70 20289. ($false = $true) | ($false = p @ (sK17 @ (sK17 @ sK30))) | ($false = exists_in_world @ X202 @ X203) | ($false = rel_s4 @ X203 @ sK30) | ($false = rel_s4 @ sK13 @ X203) | ($false = rel_s4 @ X203 @ X204) | ($true = big_q @ X202 @ X204) <- {6, 618} [superposition 7860,1389] 126.57/124.70 20291. ($false = $true) | ($false = rel_s4 @ sK30 @ X1) | ($false = rel_s4 @ X1 @ X0) | ($false = p @ (sK17 @ X0)) <- {618} [superposition 253,7860] 126.57/124.70 20337. ($false = $true) | ($false = exists_in_world @ X346 @ X347) | ($false = rel_s4 @ X347 @ sK30) | ($false = rel_s4 @ sK13 @ X347) | ($false = rel_s4 @ X347 @ X348) | ($true = big_q @ X346 @ X348) | ($false = p @ (sK17 @ (sK17 @ sK30))) <- {6, 618} [superposition 1389,7860] 126.57/124.70 20338. ($false = vOR_37 @ (vNOT_33 @ $false) @ (p @ (sK17 @ sK30))) | ($false = exists_in_world @ X349 @ X350) | ($false = rel_s4 @ X350 @ sK30) | ($false = rel_s4 @ sK13 @ X350) | ($false = rel_s4 @ X350 @ X351) | ($true = big_q @ X349 @ X351) | ($false = p @ (sK17 @ (sK17 @ sK30))) <- {6, 618} [superposition 959,7860] 126.57/124.70 20348. 1146 <=> ! [X1,X2] : (($false = p @ (sK17 @ X1)) | ($false = rel_s4 @ sK30 @ X2) | ($false = rel_s4 @ X2 @ X1)) [avatar definition] 126.57/124.70 20350. 1146 | 0 | ~618 [avatar split clause 20288,7859,315,20348] 126.57/124.70 20355. 1148 <=> ($false = p @ (sK17 @ (sK17 @ sK30))) [avatar definition] 126.57/124.70 20357. 492 | 1148 | 0 | ~6 | ~618 [avatar split clause 20289,7859,368,315,20355,7015] 126.57/124.70 20358. 1146 | 0 | ~618 [avatar split clause 20291,7859,315,20348] 126.57/124.70 20359. 1148 | 492 | 0 | ~6 | ~618 [avatar split clause 20337,7859,368,315,7015,20355] 126.57/124.70 20360. ($false = vOR_37 @ (vNOT_33 @ $false) @ $false) | ($false = exists_in_world @ X349 @ X350) | ($false = rel_s4 @ X350 @ sK30) | ($false = rel_s4 @ sK13 @ X350) | ($false = rel_s4 @ X350 @ X351) | ($true = big_q @ X349 @ X351) | ($false = p @ (sK17 @ (sK17 @ sK30))) <- {6, 304, 618} [forward demodulation 20338,4315] 126.57/124.70 20361. 1148 | 492 | 252 | ~6 | ~304 | ~618 [avatar split clause 20360,7859,4314,368,4084,7015,20355] 126.57/124.70 20371. ($false = $true) | ($false = p @ (sK17 @ X1)) | ($false = rel_s4 @ sK33 @ X2) | ($false = rel_s4 @ X2 @ X1) <- {620} [superposition 7881,253] 126.57/124.70 20372. ($false = $true) | ($false = p @ (sK17 @ (sK17 @ sK33))) | ($false = exists_in_world @ X202 @ X203) | ($false = rel_s4 @ X203 @ sK33) | ($false = rel_s4 @ sK13 @ X203) | ($false = rel_s4 @ X203 @ X204) | ($true = big_q @ X202 @ X204) <- {6, 620} [superposition 7881,1389] 126.57/124.70 20374. ($false = $true) | ($false = rel_s4 @ sK33 @ X1) | ($false = rel_s4 @ X1 @ X0) | ($false = p @ (sK17 @ X0)) <- {620} [superposition 253,7881] 126.57/124.70 20420. ($false = $true) | ($false = exists_in_world @ X346 @ X347) | ($false = rel_s4 @ X347 @ sK33) | ($false = rel_s4 @ sK13 @ X347) | ($false = rel_s4 @ X347 @ X348) | ($true = big_q @ X346 @ X348) | ($false = p @ (sK17 @ (sK17 @ sK33))) <- {6, 620} [superposition 1389,7881] 126.57/124.70 20421. ($false = vOR_37 @ (vNOT_33 @ $false) @ (p @ (sK17 @ sK33))) | ($false = exists_in_world @ X349 @ X350) | ($false = rel_s4 @ X350 @ sK33) | ($false = rel_s4 @ sK13 @ X350) | ($false = rel_s4 @ X350 @ X351) | ($true = big_q @ X349 @ X351) | ($false = p @ (sK17 @ (sK17 @ sK33))) <- {6, 620} [superposition 959,7881] 126.57/124.70 20431. 1150 <=> ! [X1,X2] : (($false = p @ (sK17 @ X1)) | ($false = rel_s4 @ sK33 @ X2) | ($false = rel_s4 @ X2 @ X1)) [avatar definition] 126.57/124.70 20433. 1150 | 0 | ~620 [avatar split clause 20371,7880,315,20431] 126.57/124.70 20438. 1152 <=> ($false = p @ (sK17 @ (sK17 @ sK33))) [avatar definition] 126.57/124.70 20440. 1016 | 1152 | 0 | ~6 | ~620 [avatar split clause 20372,7880,368,315,20438,18510] 126.57/124.70 20441. 1150 | 0 | ~620 [avatar split clause 20374,7880,315,20431] 126.57/124.70 20442. 1152 | 1016 | 0 | ~6 | ~620 [avatar split clause 20420,7880,368,315,18510,20438] 126.57/124.70 20443. ($false = vOR_37 @ (vNOT_33 @ $false) @ $false) | ($false = exists_in_world @ X349 @ X350) | ($false = rel_s4 @ X350 @ sK33) | ($false = rel_s4 @ sK13 @ X350) | ($false = rel_s4 @ X350 @ X351) | ($true = big_q @ X349 @ X351) | ($false = p @ (sK17 @ (sK17 @ sK33))) <- {6, 548, 620} [forward demodulation 20421,7296] 126.57/124.70 20444. 1152 | 1016 | 252 | ~6 | ~548 | ~620 [avatar split clause 20443,7880,7295,368,4084,18510,20438] 126.57/124.70 20445. ($false = vNOT_33 @ (rel_s4 @ sK19 @ (sK17 @ sK19))) <- {434} [HOL binary constant elimination 6767] 126.57/124.70 20459. ($true = rel_s4 @ sK19 @ (sK17 @ sK19)) <- {434} [HOL not constant elimination 20445] 126.57/124.70 20464. 1154 <=> ($true = rel_s4 @ sK19 @ (sK17 @ sK19)) [avatar definition] 126.57/124.70 20466. 1154 | ~434 [avatar split clause 20459,6766,20464] 126.57/124.70 20467. ($false = vNOT_33 @ (rel_s4 @ sK23 @ (sK17 @ sK23))) <- {438} [HOL binary constant elimination 6785] 126.57/124.70 20478. ($false = vOR_37 @ (vNOT_33 @ $false) @ $false) | ($true = p @ (sK17 @ sK23)) <- {335, 344, 438} [superposition 6785,7433] 126.57/124.70 20480. ($true = rel_s4 @ sK23 @ (sK17 @ sK23)) <- {438} [HOL not constant elimination 20467] 126.57/124.70 20485. 1156 <=> ($true = rel_s4 @ sK23 @ (sK17 @ sK23)) [avatar definition] 126.57/124.70 20487. 1156 | ~438 [avatar split clause 20480,6784,20485] 126.57/124.70 20488. ($false = $true) | ($false = vOR_37 @ (vNOT_33 @ $false) @ $false) <- {244, 335, 344, 438} [forward demodulation 20478,4063] 126.57/124.70 20489. 252 | 0 | ~244 | 335 | ~344 | ~438 [avatar split clause 20488,6784,4528,4443,4062,315,4084] 126.57/124.70 20494. 1158 <=> ($true = p @ (sK17 @ sK23)) [avatar definition] 126.57/124.70 20495. ($true = p @ (sK17 @ sK23)) <- {1158} [avatar component clause 20494] 126.57/124.70 20496. 1158 | 252 | 335 | ~344 | ~438 [avatar split clause 20478,6784,4528,4443,4084,20494] 126.57/124.70 20497. 244 | 651 | ~704 [avatar split clause 20019,9103,8547,4062] 126.57/124.70 20502. 1160 <=> ($false = vOR_37 @ (vNOT_33 @ $false) @ (p @ (sK17 @ sK23))) [avatar definition] 126.57/124.70 20504. 1158 | 436 | 1160 | ~6 | 335 | ~344 [avatar split clause 19685,4528,4443,368,20502,6778,20494] 126.57/124.70 20505. 1158 | 436 | 0 | ~6 | 335 | ~344 [avatar split clause 19684,4528,4443,368,315,6778,20494] 126.57/124.70 20506. 436 | 1158 | 0 | ~6 | 335 | ~344 [avatar split clause 19636,4528,4443,368,315,20494,6778] 126.57/124.70 20508. 1162 <=> ! [X0] : (($true != exists_in_world @ sK20 @ X0) | ($true != rel_s4 @ X0 @ sK18)) [avatar definition] 126.57/124.70 20510. 1162 | 0 | 704 | ~638 | 701 | ~724 | ~770 [avatar split clause 18737,9762,9303,9065,8153,9103,315,20508] 126.57/124.70 20511. ($false = $true) | ($false = p @ (sK10 @ (big_q @ X0) @ (rel_s4 @ X1))) | ($false = exists_in_world @ X0 @ sK18) | ($false != big_q @ X0 @ (sK10 @ (big_q @ X0) @ (rel_s4 @ X1))) | rel_s4 @ X1 = big_q @ X0 | ($false = p @ (sK17 @ (sK10 @ (big_q @ X0) @ (rel_s4 @ X1)))) <- {6, 34, 638} [forward demodulation 11822,839] 126.57/124.70 20513. 1164 <=> ! [X1,X0 : mu] : (($false = p @ (sK10 @ (big_q @ X0) @ (rel_s4 @ X1))) | ($false = p @ (sK17 @ (sK10 @ (big_q @ X0) @ (rel_s4 @ X1)))) | rel_s4 @ X1 = big_q @ X0 | ($false != big_q @ X0 @ (sK10 @ (big_q @ X0) @ (rel_s4 @ X1))) | ($false = exists_in_world @ X0 @ sK18)) [avatar definition] 126.57/124.70 20515. 1164 | 0 | ~6 | ~34 | ~638 [avatar split clause 20511,8153,838,368,315,20513] 126.57/124.70 20516. ($false = $true) | ($false = p @ (sK10 @ (big_q @ X0) @ (exists_in_world @ X1))) | ($false = exists_in_world @ X0 @ sK18) | ($false != big_q @ X0 @ (sK10 @ (big_q @ X0) @ (exists_in_world @ X1))) | exists_in_world @ X1 = big_q @ X0 | ($false = p @ (sK17 @ (sK10 @ (big_q @ X0) @ (exists_in_world @ X1)))) <- {6, 34, 638} [forward demodulation 11801,839] 126.57/124.70 20518. 1166 <=> ! [X1 : mu,X0 : mu] : (($false = p @ (sK10 @ (big_q @ X0) @ (exists_in_world @ X1))) | ($false = p @ (sK17 @ (sK10 @ (big_q @ X0) @ (exists_in_world @ X1)))) | exists_in_world @ X1 = big_q @ X0 | ($false != big_q @ X0 @ (sK10 @ (big_q @ X0) @ (exists_in_world @ X1))) | ($false = exists_in_world @ X0 @ sK18)) [avatar definition] 126.57/124.70 20520. 1166 | 0 | ~6 | ~34 | ~638 [avatar split clause 20516,8153,838,368,315,20518] 126.57/124.70 20521. ($false = $true) | ($false = p @ (sK10 @ X0 @ (big_q @ X1))) | ($false = exists_in_world @ X1 @ sK18) | ($false != big_q @ X1 @ (sK10 @ X0 @ (big_q @ X1))) | big_q @ X1 = X0 | ($false = p @ (sK17 @ (sK10 @ X0 @ (big_q @ X1)))) <- {6, 34, 638} [forward demodulation 11474,839] 126.57/124.70 20523. 1168 <=> ! [X1 : mu,X0 : ($i > $o)] : (($false = p @ (sK10 @ X0 @ (big_q @ X1))) | ($false = p @ (sK17 @ (sK10 @ X0 @ (big_q @ X1)))) | big_q @ X1 = X0 | ($false != big_q @ X1 @ (sK10 @ X0 @ (big_q @ X1))) | ($false = exists_in_world @ X1 @ sK18)) [avatar definition] 126.57/124.70 20525. 1168 | 0 | ~6 | ~34 | ~638 [avatar split clause 20521,8153,838,368,315,20523] 126.57/124.70 20526. ($false = $true) | ($false = p @ (sK10 @ (big_q @ X0) @ X1)) | ($false = exists_in_world @ X0 @ sK18) | big_q @ X0 = X1 | ($true != X1 @ (sK10 @ (big_q @ X0) @ X1)) | ($false = p @ (sK17 @ (sK10 @ (big_q @ X0) @ X1))) <- {6, 34, 638} [forward demodulation 11356,839] 126.57/124.70 20528. 1170 <=> ! [X1 : ($i > $o),X0 : mu] : (($false = p @ (sK10 @ (big_q @ X0) @ X1)) | ($false = p @ (sK17 @ (sK10 @ (big_q @ X0) @ X1))) | ($true != X1 @ (sK10 @ (big_q @ X0) @ X1)) | big_q @ X0 = X1 | ($false = exists_in_world @ X0 @ sK18)) [avatar definition] 126.57/124.70 20530. 1170 | 0 | ~6 | ~34 | ~638 [avatar split clause 20526,8153,838,368,315,20528] 126.57/124.70 20531. ($false = $true) | ($false = p @ (sK10 @ X0 @ (big_q @ X1))) | ($false = exists_in_world @ X1 @ sK18) | big_q @ X1 = X0 | ($true != X0 @ (sK10 @ X0 @ (big_q @ X1))) | ($false = p @ (sK17 @ (sK10 @ X0 @ (big_q @ X1)))) <- {6, 34, 638} [forward demodulation 11335,839] 126.57/124.70 20533. 1172 <=> ! [X1 : mu,X0 : ($i > $o)] : (($false = p @ (sK10 @ X0 @ (big_q @ X1))) | ($false = p @ (sK17 @ (sK10 @ X0 @ (big_q @ X1)))) | ($true != X0 @ (sK10 @ X0 @ (big_q @ X1))) | big_q @ X1 = X0 | ($false = exists_in_world @ X1 @ sK18)) [avatar definition] 126.57/124.70 20535. 1172 | 0 | ~6 | ~34 | ~638 [avatar split clause 20531,8153,838,368,315,20533] 126.57/124.70 20536. ($false = $true) | ($false = p @ X1) | p = big_q @ X0 | ($false != big_q @ X0 @ (sK10 @ (big_q @ X0) @ p)) | ($false = exists_in_world @ X0 @ sK18) | ($false = p @ (sK17 @ X1)) <- {6, 34, 638} [forward demodulation 10586,839] 126.57/124.70 20538. 1174 <=> ! [X0 : mu] : (p = big_q @ X0 | ($false = exists_in_world @ X0 @ sK18) | ($false != big_q @ X0 @ (sK10 @ (big_q @ X0) @ p))) [avatar definition] 126.57/124.70 20540. 1174 | 704 | 0 | ~6 | ~34 | ~638 [avatar split clause 20536,8153,838,368,315,9103,20538] 126.57/124.70 20541. ($false = $true) | ($false = p @ X1) | p = big_q @ X0 | ($false != big_q @ X0 @ (sK10 @ p @ (big_q @ X0))) | ($false = exists_in_world @ X0 @ sK18) | ($false = p @ (sK17 @ X1)) <- {6, 34, 638} [forward demodulation 10575,839] 126.57/124.70 20543. 1176 <=> ! [X0 : mu] : (p = big_q @ X0 | ($false = exists_in_world @ X0 @ sK18) | ($false != big_q @ X0 @ (sK10 @ p @ (big_q @ X0)))) [avatar definition] 126.57/124.70 20545. 1176 | 704 | 0 | ~6 | ~34 | ~638 [avatar split clause 20541,8153,838,368,315,9103,20543] 126.57/124.70 20546. 1162 | 220 | 0 | 704 | ~20 | ~638 | ~724 | ~770 [avatar split clause 10378,9762,9303,8153,758,9103,315,3810,20508] 126.57/124.70 20547. 1162 | 0 | 704 | ~34 | ~638 | ~724 | ~770 [avatar split clause 10375,9762,9303,8153,838,9103,315,20508] 126.57/124.70 20548. 1162 | 0 | 704 | ~34 | ~638 | ~724 | ~770 [avatar split clause 10369,9762,9303,8153,838,9103,315,20508] 126.57/124.70 20549. ($false = $true) | ($false = p @ X2) | ($false = p @ (sK10 @ (big_q @ X0) @ (rel_s4 @ X1))) | ($false != big_q @ X0 @ (sK10 @ (big_q @ X0) @ (rel_s4 @ X1))) | ($false = exists_in_world @ X0 @ sK18) | rel_s4 @ X1 = big_q @ X0 | ($false = p @ (sK17 @ X2)) <- {6, 34, 638} [forward demodulation 9601,839] 126.57/124.70 20551. 1178 <=> ! [X1,X0 : mu] : (($false = p @ (sK10 @ (big_q @ X0) @ (rel_s4 @ X1))) | rel_s4 @ X1 = big_q @ X0 | ($false = exists_in_world @ X0 @ sK18) | ($false != big_q @ X0 @ (sK10 @ (big_q @ X0) @ (rel_s4 @ X1)))) [avatar definition] 126.57/124.70 20553. 1178 | 704 | 0 | ~6 | ~34 | ~638 [avatar split clause 20549,8153,838,368,315,9103,20551] 126.57/124.70 20554. ($false = $true) | ($false = p @ X2) | ($false = p @ (sK10 @ (big_q @ X0) @ (exists_in_world @ X1))) | ($false != big_q @ X0 @ (sK10 @ (big_q @ X0) @ (exists_in_world @ X1))) | ($false = exists_in_world @ X0 @ sK18) | exists_in_world @ X1 = big_q @ X0 | ($false = p @ (sK17 @ X2)) <- {6, 34, 638} [forward demodulation 9575,839] 126.57/124.70 20556. 1180 <=> ! [X1 : mu,X0 : mu] : (($false = p @ (sK10 @ (big_q @ X0) @ (exists_in_world @ X1))) | exists_in_world @ X1 = big_q @ X0 | ($false = exists_in_world @ X0 @ sK18) | ($false != big_q @ X0 @ (sK10 @ (big_q @ X0) @ (exists_in_world @ X1)))) [avatar definition] 126.57/124.70 20558. 1180 | 704 | 0 | ~6 | ~34 | ~638 [avatar split clause 20554,8153,838,368,315,9103,20556] 126.57/124.70 20559. ($false = $true) | ($false = p @ X2) | ($false = p @ (sK10 @ X0 @ (big_q @ X1))) | ($false != big_q @ X1 @ (sK10 @ X0 @ (big_q @ X1))) | ($false = exists_in_world @ X1 @ sK18) | big_q @ X1 = X0 | ($false = p @ (sK17 @ X2)) <- {6, 34, 638} [forward demodulation 9553,839] 126.57/124.70 20561. 1182 <=> ! [X1 : mu,X0 : ($i > $o)] : (($false = p @ (sK10 @ X0 @ (big_q @ X1))) | big_q @ X1 = X0 | ($false = exists_in_world @ X1 @ sK18) | ($false != big_q @ X1 @ (sK10 @ X0 @ (big_q @ X1)))) [avatar definition] 126.57/124.70 20563. 1182 | 704 | 0 | ~6 | ~34 | ~638 [avatar split clause 20559,8153,838,368,315,9103,20561] 126.57/124.70 20564. ($false = $true) | ($false = p @ X2) | ($false = p @ (sK10 @ (big_q @ X0) @ X1)) | big_q @ X0 = X1 | ($false = exists_in_world @ X0 @ sK18) | ($true != X1 @ (sK10 @ (big_q @ X0) @ X1)) | ($false = p @ (sK17 @ X2)) <- {6, 34, 638} [forward demodulation 9531,839] 126.57/124.70 20566. 1184 <=> ! [X1 : ($i > $o),X0 : mu] : (($false = p @ (sK10 @ (big_q @ X0) @ X1)) | ($true != X1 @ (sK10 @ (big_q @ X0) @ X1)) | ($false = exists_in_world @ X0 @ sK18) | big_q @ X0 = X1) [avatar definition] 126.57/124.70 20568. 1184 | 704 | 0 | ~6 | ~34 | ~638 [avatar split clause 20564,8153,838,368,315,9103,20566] 126.57/124.70 20573. 1186 <=> ($false = rel_s4 @ sK19 @ (sK10 @ p @ (rel_s4 @ sK18))) [avatar definition] 126.57/124.70 20575. 1186 | 371 | 641 [avatar split clause 20060,8170,4683,20573] 126.57/124.70 20580. 1188 <=> ($false = rel_s4 @ sK23 @ (sK10 @ p @ (rel_s4 @ sK18))) [avatar definition] 126.57/124.70 20582. 1188 | 335 | 641 [avatar split clause 20061,8170,4443,20580] 126.57/124.70 20587. 1190 <=> ($false = rel_s4 @ sK18 @ (sK10 @ p @ (rel_s4 @ sK18))) [avatar definition] 126.57/124.70 20589. 1190 | 641 [avatar split clause 20088,8170,20587] 126.57/124.70 20594. 1192 <=> ($true = rel_s4 @ sK18 @ sK19) [avatar definition] 126.57/124.70 20596. 1192 | 371 | 735 [avatar split clause 18871,9415,4683,20594] 126.57/124.70 20601. 1194 <=> ($false = rel_s4 @ sK18 @ sK22) [avatar definition] 126.57/124.70 20603. 134 | 1194 | 1162 | 701 | ~724 [avatar split clause 18730,9303,9065,20508,20601,2300] 126.57/124.70 20608. 1196 <=> ($false = rel_s4 @ sK18 @ (sK17 @ sK13)) [avatar definition] 126.57/124.70 20610. 1196 | ~226 | 701 | 717 [avatar split clause 18707,9162,9065,3885,20608] 126.57/124.70 20615. 1198 <=> ($false = rel_s4 @ sK18 @ (sK17 @ sK18)) [avatar definition] 126.57/124.70 20617. 1198 | ~226 | 701 | 707 [avatar split clause 18708,9112,9065,3885,20615] 126.57/124.70 20618. 134 | 1194 | 1162 | 220 | ~20 | ~724 [avatar split clause 10350,9303,758,3810,20508,20601,2300] 126.57/124.70 20619. 134 | 1194 | 1162 | 0 | ~34 | ~724 [avatar split clause 10349,9303,838,315,20508,20601,2300] 126.57/124.70 20620. 134 | 1194 | 1162 | 0 | ~34 | ~724 [avatar split clause 10309,9303,838,315,20508,20601,2300] 126.57/124.70 20621. 1198 | ~132 | 707 [avatar split clause 9836,9112,2297,20615] 126.57/124.70 20626. 1200 <=> ($true = rel_s4 @ sK18 @ sK22) [avatar definition] 126.57/124.70 20628. 1200 | 371 | 727 [avatar split clause 9752,9309,4683,20626] 126.57/124.70 20629. 1196 | ~132 | 717 [avatar split clause 9744,9162,2297,20608] 126.57/124.70 20630. 1196 | ~132 | 717 [avatar split clause 9681,9162,2297,20608] 126.57/124.70 20631. 136 | 222 | ~18 | ~226 [avatar split clause 9914,3885,751,3818,2312] 126.57/124.70 20632. 136 | 0 | ~26 | ~226 [avatar split clause 9913,3885,798,315,2312] 126.57/124.70 20633. 136 | 0 | ~26 | ~226 [avatar split clause 9872,3885,798,315,2312] 126.57/124.70 20648. ($false = $true) | ($true = p @ X3) | ($false = rel_s4 @ sK19 @ X4) | ($false = rel_s4 @ X4 @ X3) <- {136} [superposition 2313,253] 126.57/124.70 20649. ($false = $true) | ($true = p @ (sK17 @ sK19)) | ($false = exists_in_world @ X204 @ X205) | ($false = rel_s4 @ X205 @ sK19) | ($false = rel_s4 @ sK13 @ X205) | ($false = rel_s4 @ X205 @ X206) | ($true = big_q @ X204 @ X206) <- {6, 136} [superposition 2313,1389] 126.57/124.70 20651. ($false = $true) | ($true = p @ sK28) <- {136, 270} [superposition 2313,4196] 126.57/124.70 20652. ($false = $true) | ($true = p @ sK30) <- {136, 300} [superposition 2313,4301] 126.57/124.70 20653. ($false = $true) | ($true = p @ sK33) <- {136, 544} [superposition 2313,7282] 126.57/124.70 20655. ($false = $true) | ($false = rel_s4 @ sK19 @ X3) | ($false = rel_s4 @ X3 @ X2) | ($true = p @ X2) <- {136} [superposition 253,2313] 126.57/124.70 20658. ($false != $false) | rel_s4 @ sK19 = X80 | ($false != X80 @ (sK10 @ X80 @ (rel_s4 @ sK19))) | ($true = p @ (sK10 @ X80 @ (rel_s4 @ sK19))) <- {136} [superposition 990,2313] 126.57/124.70 20698. ($true = p @ (sK10 @ (rel_s4 @ sK19) @ X345)) | rel_s4 @ sK19 = X345 | ($false != X345 @ (sK10 @ (rel_s4 @ sK19) @ X345)) <- {136} [superposition 171,2313] 126.57/124.70 20701. ($false = $true) | ($false = exists_in_world @ X348 @ X349) | ($false = rel_s4 @ X349 @ sK19) | ($false = rel_s4 @ sK13 @ X349) | ($false = rel_s4 @ X349 @ X350) | ($true = big_q @ X348 @ X350) | ($true = p @ (sK17 @ sK19)) <- {6, 136} [superposition 1389,2313] 126.57/124.70 20702. ($false = vOR_37 @ (vNOT_33 @ $false) @ (p @ (sK17 @ sK19))) | ($false = exists_in_world @ X351 @ X352) | ($false = rel_s4 @ X352 @ sK19) | ($false = rel_s4 @ sK13 @ X352) | ($false = rel_s4 @ X352 @ X353) | ($true = big_q @ X351 @ X353) | ($true = p @ (sK17 @ sK19)) <- {6, 136} [superposition 959,2313] 126.57/124.70 20703. ($false = vOR_37 @ (vNOT_33 @ $false) @ $false) | ($true = p @ (sK17 @ sK19)) <- {136, 434} [superposition 6767,2313] 126.57/124.70 20708. ($false = $true) | ($true = p @ sK28) <- {136, 270} [superposition 4196,2313] 126.57/124.70 20709. ($false = vOR_37 @ (vNOT_33 @ $false) @ (big_q @ sK20 @ sK28)) | ($true = p @ sK28) <- {102, 136} [superposition 2159,2313] 126.57/124.70 20710. ($false = $true) | ($true = p @ sK30) <- {136, 300} [superposition 4301,2313] 126.57/124.70 20711. ($false = vOR_37 @ (vNOT_33 @ $false) @ (big_q @ sK24 @ sK30)) | ($true = p @ sK30) <- {108, 136} [superposition 2193,2313] 126.57/124.70 20713. ($false = $true) | ($true = p @ sK33) <- {136, 544} [superposition 7282,2313] 126.57/124.70 20714. ($false = vOR_37 @ (vNOT_33 @ $false) @ (big_q @ sK24 @ sK33)) | ($true = p @ sK33) <- {136, 328} [superposition 4396,2313] 126.57/124.70 20725. ($true = p @ (sK10 @ X80 @ (rel_s4 @ sK19))) | ($false != X80 @ (sK10 @ X80 @ (rel_s4 @ sK19))) | rel_s4 @ sK19 = X80 <- {136} [trivial inequality removal 20658] 126.57/124.70 20727. 1202 <=> ! [X3,X4] : (($true = p @ X3) | ($false = rel_s4 @ sK19 @ X4) | ($false = rel_s4 @ X4 @ X3)) [avatar definition] 126.57/124.70 20728. ($false = rel_s4 @ sK19 @ X4) | ($true = p @ X3) | ($false = rel_s4 @ X4 @ X3) <- {1202} [avatar component clause 20727] 126.57/124.70 20729. 1202 | 0 | ~136 [avatar split clause 20648,2312,315,20727] 126.57/124.70 20730. ($false = $true) | ($false = $true) | ($false = exists_in_world @ X204 @ X205) | ($false = rel_s4 @ X205 @ sK19) | ($false = rel_s4 @ sK13 @ X205) | ($false = rel_s4 @ X205 @ X206) | ($true = big_q @ X204 @ X206) <- {6, 136, 210} [forward demodulation 20649,3779] 126.57/124.70 20731. ($false = $true) | ($false = exists_in_world @ X204 @ X205) | ($false = rel_s4 @ X205 @ sK19) | ($false = rel_s4 @ sK13 @ X205) | ($false = rel_s4 @ X205 @ X206) | ($true = big_q @ X204 @ X206) <- {6, 136, 210} [duplicate literal removal 20730] 126.57/124.70 20732. 256 | 0 | ~6 | ~136 | ~210 [avatar split clause 20731,3778,2312,368,315,4146] 126.57/124.70 20737. 1204 <=> ($true = p @ sK28) [avatar definition] 126.57/124.70 20739. 1204 | 0 | ~136 | ~270 [avatar split clause 20651,4195,2312,315,20737] 126.57/124.70 20744. 1206 <=> ($true = p @ sK30) [avatar definition] 126.57/124.70 20746. 1206 | 0 | ~136 | ~300 [avatar split clause 20652,4300,2312,315,20744] 126.57/124.70 20751. 1208 <=> ($true = p @ sK33) [avatar definition] 126.57/124.70 20753. 1208 | 0 | ~136 | ~544 [avatar split clause 20653,7281,2312,315,20751] 126.57/124.70 20754. 1202 | 0 | ~136 [avatar split clause 20655,2312,315,20727] 126.57/124.70 20755. ($false = $true) | ($false = $true) | ($false = exists_in_world @ X348 @ X349) | ($false = rel_s4 @ X349 @ sK19) | ($false = rel_s4 @ sK13 @ X349) | ($false = rel_s4 @ X349 @ X350) | ($true = big_q @ X348 @ X350) <- {6, 136, 210} [forward demodulation 20701,3779] 126.57/124.70 20756. ($false = $true) | ($false = exists_in_world @ X348 @ X349) | ($false = rel_s4 @ X349 @ sK19) | ($false = rel_s4 @ sK13 @ X349) | ($false = rel_s4 @ X349 @ X350) | ($true = big_q @ X348 @ X350) <- {6, 136, 210} [duplicate literal removal 20755] 126.57/124.70 20757. 256 | 0 | ~6 | ~136 | ~210 [avatar split clause 20756,3778,2312,368,315,4146] 126.57/124.70 20758. ($false = vOR_37 @ (vNOT_33 @ $false) @ $false) | ($false = exists_in_world @ X351 @ X352) | ($false = rel_s4 @ X352 @ sK19) | ($false = rel_s4 @ sK13 @ X352) | ($false = rel_s4 @ X352 @ X353) | ($true = big_q @ X351 @ X353) | ($true = p @ (sK17 @ sK19)) <- {6, 136, 210} [forward demodulation 20702,3779] 126.57/124.70 20759. ($false = $true) | ($false = vOR_37 @ (vNOT_33 @ $false) @ $false) | ($false = exists_in_world @ X351 @ X352) | ($false = rel_s4 @ X352 @ sK19) | ($false = rel_s4 @ sK13 @ X352) | ($false = rel_s4 @ X352 @ X353) | ($true = big_q @ X351 @ X353) <- {6, 136, 210} [forward demodulation 20758,3779] 126.57/124.70 20760. 256 | 252 | 0 | ~6 | ~136 | ~210 [avatar split clause 20759,3778,2312,368,315,4084,4146] 126.57/124.70 20761. ($false = $true) | ($false = vOR_37 @ (vNOT_33 @ $false) @ $false) <- {136, 210, 434} [forward demodulation 20703,3779] 126.57/124.70 20762. 252 | 0 | ~136 | ~210 | ~434 [avatar split clause 20761,6766,3778,2312,315,4084] 126.57/124.70 20763. 1204 | 0 | ~136 | ~270 [avatar split clause 20708,4195,2312,315,20737] 126.57/124.70 20764. ($false = vOR_37 @ (vNOT_33 @ $false) @ $false) | ($true = p @ sK28) <- {102, 136, 272} [forward demodulation 20709,4203] 126.57/124.70 20765. 1204 | 252 | ~102 | ~136 | ~272 [avatar split clause 20764,4202,2312,2158,4084,20737] 126.57/124.70 20766. 1206 | 0 | ~136 | ~300 [avatar split clause 20710,4300,2312,315,20744] 126.57/124.70 20767. ($false = vOR_37 @ (vNOT_33 @ $false) @ $false) | ($true = p @ sK30) <- {108, 136, 302} [forward demodulation 20711,4308] 126.57/124.70 20768. 1206 | 252 | ~108 | ~136 | ~302 [avatar split clause 20767,4307,2312,2192,4084,20744] 126.57/124.70 20769. 1208 | 0 | ~136 | ~544 [avatar split clause 20713,7281,2312,315,20751] 126.57/124.70 20770. ($false = vOR_37 @ (vNOT_33 @ $false) @ $false) | ($true = p @ sK33) <- {136, 328, 546} [forward demodulation 20714,7289] 126.57/124.70 20771. 1208 | 252 | ~136 | ~328 | ~546 [avatar split clause 20770,7288,4395,2312,4084,20751] 126.57/124.70 20772. ($true = vNOT_33 @ (rel_s4 @ sK19 @ (sK17 @ sK19))) | ($false = $true) <- {435} [HOL binary constant elimination 6764] 126.57/124.70 20773. ($false = rel_s4 @ sK19 @ (sK17 @ sK19)) | ($false = $true) <- {435} [HOL not constant elimination 20772] 126.57/124.70 20774. 256 | 434 | ~6 | ~210 [avatar split clause 9661,3778,368,6766,4146] 126.57/124.70 20775. 256 | 434 | ~6 | ~210 [avatar split clause 6755,3778,368,6766,4146] 126.57/124.70 20776. ($false = vOR_37 @ (vNOT_33 @ $false) @ $false) | ($false = exists_in_world @ X253 @ X254) | ($false = rel_s4 @ X254 @ sK19) | ($false = rel_s4 @ sK13 @ X254) | ($false = rel_s4 @ X254 @ X255) | ($true = big_q @ X253 @ X255) | ($false = p @ (sK17 @ X256)) | ($false = rel_s4 @ (sK17 @ sK19) @ X256) <- {6, 210, 254} [forward demodulation 9976,3779] 126.57/124.70 20777. 612 | 256 | 252 | ~6 | ~210 | ~254 [avatar split clause 20776,4142,3778,368,4084,4146,7846] 126.57/124.70 20778. 612 | 256 | 0 | ~6 | ~254 [avatar split clause 9975,4142,368,315,4146,7846] 126.57/124.70 20779. 256 | 612 | 0 | ~6 | ~254 [avatar split clause 9936,4142,368,315,7846,4146] 126.57/124.70 20780. 612 | 256 | 252 | ~6 | ~210 | ~254 [avatar split clause 7865,4142,3778,368,4084,4146,7846] 126.57/124.70 20781. 256 | 612 | 0 | ~6 | ~254 [avatar split clause 7774,4142,368,315,7846,4146] 126.57/124.70 20782. 612 | 256 | 0 | ~6 | ~254 [avatar split clause 7818,4142,368,315,4146,7846] 126.57/124.70 20783. ($false = vOR_37 @ (vNOT_33 @ $false) @ $false) | ($false = exists_in_world @ X287 @ X288) | ($false = rel_s4 @ X288 @ sK19) | ($false = rel_s4 @ sK13 @ X288) | ($false = rel_s4 @ X288 @ X289) | ($true = big_q @ X287 @ X289) | ($false = p @ (sK17 @ X290)) | ($false = rel_s4 @ (sK17 @ sK19) @ X290) <- {6, 210, 254} [forward demodulation 7820,3779] 126.57/124.70 20784. 612 | 256 | 252 | ~6 | ~210 | ~254 [avatar split clause 20783,4142,3778,368,4084,4146,7846] 126.57/124.70 20785. 256 | 612 | 0 | ~6 | ~254 [avatar split clause 7978,4142,368,315,7846,4146] 126.57/124.70 20786. 612 | 256 | 0 | ~6 | ~254 [avatar split clause 8022,4142,368,315,4146,7846] 126.57/124.70 20787. ($false = vOR_37 @ (vNOT_33 @ $false) @ $false) | ($false = exists_in_world @ X287 @ X288) | ($false = rel_s4 @ X288 @ sK19) | ($false = rel_s4 @ sK13 @ X288) | ($false = rel_s4 @ X288 @ X289) | ($true = big_q @ X287 @ X289) | ($false = p @ (sK17 @ X290)) | ($false = rel_s4 @ (sK17 @ sK19) @ X290) <- {6, 210, 254} [forward demodulation 8024,3779] 126.57/124.70 20788. 612 | 256 | 252 | ~6 | ~210 | ~254 [avatar split clause 20787,4142,3778,368,4084,4146,7846] 126.57/124.70 20793. 1210 <=> ($false = rel_s4 @ sK19 @ (sK17 @ sK19)) [avatar definition] 126.57/124.70 20794. ($false = rel_s4 @ sK19 @ (sK17 @ sK19)) <- {1210} [avatar component clause 20793] 126.57/124.70 20795. 0 | 1210 | 435 [avatar split clause 20773,6763,20793,315] 126.57/124.70 20803. ($false = rel_s4 @ sK31 @ sK23) <- {245, 254, 779} [unit resulting resolution 9829,4060,4143] 126.57/124.70 20805. ($false = rel_s4 @ sK28 @ sK23) <- {245, 616} [unit resulting resolution 4060,7856] 126.57/124.70 20806. ($false = rel_s4 @ sK30 @ sK23) <- {245, 618} [unit resulting resolution 4060,7860] 126.57/124.70 20807. ($false = rel_s4 @ sK33 @ sK23) <- {245, 620} [unit resulting resolution 4060,7881] 126.57/124.70 20812. 1212 <=> ($false = rel_s4 @ sK33 @ sK23) [avatar definition] 126.57/124.70 20814. 1212 | 245 | ~620 [avatar split clause 20807,7880,4059,20812] 126.57/124.70 20819. 1214 <=> ($false = rel_s4 @ sK30 @ sK23) [avatar definition] 126.57/124.70 20821. 1214 | 245 | ~618 [avatar split clause 20806,7859,4059,20819] 126.57/124.70 20826. 1216 <=> ($false = rel_s4 @ sK28 @ sK23) [avatar definition] 126.57/124.70 20828. 1216 | 245 | ~616 [avatar split clause 20805,7855,4059,20826] 126.57/124.70 20830. 1219 <=> ($false != rel_s4 @ sK31 @ sK23) [avatar definition] 126.57/124.70 20833. 1218 <=> ($false = rel_s4 @ sK31 @ sK23) [avatar definition] 126.57/124.70 20834. ($false = rel_s4 @ sK31 @ sK23) <- {1218} [avatar component clause 20833] 126.57/124.70 20835. 1218 | 245 | ~254 | 779 [avatar split clause 20803,9828,4142,4059,20833] 126.57/124.70 20836. (p @ (sK10 @ (rel_s4 @ sK18) @ p) != rel_s4 @ sK18 @ (sK10 @ (rel_s4 @ sK18) @ p)) <- {639} [unit resulting resolution 8151,171] 126.57/124.70 20851. 1221 <=> (p @ (sK10 @ (rel_s4 @ sK18) @ p) != rel_s4 @ sK18 @ (sK10 @ (rel_s4 @ sK18) @ p)) [avatar definition] 126.57/124.70 20853. ~1221 | 639 [avatar split clause 20836,8150,20851] 126.57/124.70 20874. ($false = $true) | ($true = p @ X6) | ($false = rel_s4 @ X5 @ X6) | ($false = rel_s4 @ sK19 @ X7) | ($false = rel_s4 @ X7 @ X5) <- {1202} [superposition 20728,253] 126.57/124.70 20876. ($false = $true) | ($true = p @ X211) | ($false = rel_s4 @ sK22 @ X211) <- {74, 1202} [superposition 20728,2057] 126.57/124.70 20877. ($false = $true) | ($true = p @ X212) | ($false = rel_s4 @ sK28 @ X212) <- {270, 1202} [superposition 20728,4196] 126.57/124.70 20878. ($false = $true) | ($true = p @ X213) | ($false = rel_s4 @ sK30 @ X213) <- {300, 1202} [superposition 20728,4301] 126.57/124.70 20879. ($false = $true) | ($true = p @ X214) | ($false = rel_s4 @ sK33 @ X214) <- {544, 1202} [superposition 20728,7282] 126.57/124.70 20881. ($false = $true) | ($false = rel_s4 @ sK19 @ X5) | ($false = rel_s4 @ X5 @ X4) | ($true = p @ X6) | ($false = rel_s4 @ X4 @ X6) <- {1202} [superposition 253,20728] 126.57/124.70 20930. ($false != $false) | ($true = p @ X405) | ($false = rel_s4 @ sK22 @ X405) <- {727, 1202} [superposition 9310,20728] 126.57/124.70 20933. ($false = $true) | ($true = p @ X408) | ($false = rel_s4 @ sK28 @ X408) <- {270, 1202} [superposition 4196,20728] 126.57/124.70 20934. ($false = vOR_37 @ (vNOT_33 @ $false) @ (big_q @ sK20 @ sK28)) | ($true = p @ X409) | ($false = rel_s4 @ sK28 @ X409) <- {102, 1202} [superposition 2159,20728] 126.57/124.70 20935. ($false = $true) | ($true = p @ X410) | ($false = rel_s4 @ sK30 @ X410) <- {300, 1202} [superposition 4301,20728] 126.57/124.70 20936. ($false = vOR_37 @ (vNOT_33 @ $false) @ (big_q @ sK24 @ sK30)) | ($true = p @ X411) | ($false = rel_s4 @ sK30 @ X411) <- {108, 1202} [superposition 2193,20728] 126.57/124.70 20938. ($false = $true) | ($true = p @ X413) | ($false = rel_s4 @ sK33 @ X413) <- {544, 1202} [superposition 7282,20728] 126.57/124.70 20939. ($false = vOR_37 @ (vNOT_33 @ $false) @ (big_q @ sK24 @ sK33)) | ($true = p @ X414) | ($false = rel_s4 @ sK33 @ X414) <- {328, 1202} [superposition 4396,20728] 126.57/124.70 20943. ($false = rel_s4 @ sK22 @ X405) | ($true = p @ X405) <- {727, 1202} [trivial inequality removal 20930] 126.57/124.70 20954. 1222 <=> ! [X5,X7,X6] : (($true = p @ X6) | ($false = rel_s4 @ sK19 @ X7) | ($false = rel_s4 @ X7 @ X5) | ($false = rel_s4 @ X5 @ X6)) [avatar definition] 126.57/124.70 20955. ($false = rel_s4 @ sK19 @ X7) | ($true = p @ X6) | ($false = rel_s4 @ X7 @ X5) | ($false = rel_s4 @ X5 @ X6) <- {1222} [avatar component clause 20954] 126.57/124.70 20956. 1222 | 0 | ~1202 [avatar split clause 20874,20727,315,20954] 126.57/124.70 20957. 694 | 0 | ~74 | ~1202 [avatar split clause 20876,20727,2056,315,8970] 126.57/124.70 20959. 1224 <=> ! [X212] : (($true = p @ X212) | ($false = rel_s4 @ sK28 @ X212)) [avatar definition] 126.57/124.70 20960. ($false = rel_s4 @ sK28 @ X212) | ($true = p @ X212) <- {1224} [avatar component clause 20959] 126.57/124.70 20961. 1224 | 0 | ~270 | ~1202 [avatar split clause 20877,20727,4195,315,20959] 126.57/124.70 20963. 1226 <=> ! [X213] : (($true = p @ X213) | ($false = rel_s4 @ sK30 @ X213)) [avatar definition] 126.57/124.70 20964. ($false = rel_s4 @ sK30 @ X213) | ($true = p @ X213) <- {1226} [avatar component clause 20963] 126.57/124.70 20965. 1226 | 0 | ~300 | ~1202 [avatar split clause 20878,20727,4300,315,20963] 126.57/124.70 20967. 1228 <=> ! [X214] : (($true = p @ X214) | ($false = rel_s4 @ sK33 @ X214)) [avatar definition] 126.57/124.70 20969. 1228 | 0 | ~544 | ~1202 [avatar split clause 20879,20727,7281,315,20967] 126.57/124.70 20970. 1222 | 0 | ~1202 [avatar split clause 20881,20727,315,20954] 126.57/124.70 20971. 1224 | 0 | ~270 | ~1202 [avatar split clause 20933,20727,4195,315,20959] 126.57/124.70 20972. ($false = vOR_37 @ (vNOT_33 @ $false) @ $false) | ($true = p @ X409) | ($false = rel_s4 @ sK28 @ X409) <- {102, 272, 1202} [forward demodulation 20934,4203] 126.57/124.70 20973. 1224 | 252 | ~102 | ~272 | ~1202 [avatar split clause 20972,20727,4202,2158,4084,20959] 126.57/124.70 20974. 1226 | 0 | ~300 | ~1202 [avatar split clause 20935,20727,4300,315,20963] 126.57/124.70 20975. ($false = vOR_37 @ (vNOT_33 @ $false) @ $false) | ($true = p @ X411) | ($false = rel_s4 @ sK30 @ X411) <- {108, 302, 1202} [forward demodulation 20936,4308] 126.57/124.70 20976. 1226 | 252 | ~108 | ~302 | ~1202 [avatar split clause 20975,20727,4307,2192,4084,20963] 126.57/124.70 20977. 1228 | 0 | ~544 | ~1202 [avatar split clause 20938,20727,7281,315,20967] 126.57/124.70 20978. ($false = vOR_37 @ (vNOT_33 @ $false) @ $false) | ($true = p @ X414) | ($false = rel_s4 @ sK33 @ X414) <- {328, 546, 1202} [forward demodulation 20939,7289] 126.57/124.70 20979. 1228 | 252 | ~328 | ~546 | ~1202 [avatar split clause 20978,20727,7288,4395,4084,20967] 126.57/124.70 20989. ($true != $true) | p = rel_s4 @ sK19 | ($false != p @ (sK10 @ (rel_s4 @ sK19) @ p)) | p = rel_s4 @ sK19 | ($false != p @ (sK10 @ (rel_s4 @ sK19) @ p)) <- {136} [superposition 409,20698] 126.57/124.70 20990. ($true != $true) | p = rel_s4 @ sK19 | ($false != p @ (sK10 @ (rel_s4 @ sK19) @ p)) <- {136} [duplicate literal removal 20989] 126.57/124.70 20991. p = rel_s4 @ sK19 | ($false != p @ (sK10 @ (rel_s4 @ sK19) @ p)) <- {136} [trivial inequality removal 20990] 126.57/124.70 20996. 1231 <=> ($false != p @ (sK10 @ (rel_s4 @ sK19) @ p)) [avatar definition] 126.57/124.70 20998. ~1231 | 684 | ~136 [avatar split clause 20991,2312,8859,20996] 126.57/124.70 21042. ($false = $true) | ($false != p @ (sK10 @ p @ (rel_s4 @ sK19))) | p = rel_s4 @ sK19 | p = rel_s4 @ sK19 | ($true != rel_s4 @ sK19 @ (sK10 @ p @ (rel_s4 @ sK19))) <- {136} [superposition 20725,342] 126.57/124.70 21043. ($true != $true) | p = rel_s4 @ sK19 | ($false != p @ (sK10 @ p @ (rel_s4 @ sK19))) | ($false != p @ (sK10 @ p @ (rel_s4 @ sK19))) | p = rel_s4 @ sK19 <- {136} [superposition 577,20725] 126.57/124.70 21044. ($false = $true) | p = rel_s4 @ sK19 | ($true != rel_s4 @ sK19 @ (sK10 @ p @ (rel_s4 @ sK19))) | ($false != p @ (sK10 @ p @ (rel_s4 @ sK19))) | p = rel_s4 @ sK19 <- {136} [superposition 342,20725] 126.57/124.70 21045. ($false = $true) | p = rel_s4 @ sK19 | ($true != rel_s4 @ sK19 @ (sK10 @ p @ (rel_s4 @ sK19))) | ($false != p @ (sK10 @ p @ (rel_s4 @ sK19))) <- {136} [duplicate literal removal 21044] 126.57/124.70 21046. ($true != $true) | p = rel_s4 @ sK19 | ($false != p @ (sK10 @ p @ (rel_s4 @ sK19))) <- {136} [duplicate literal removal 21043] 126.57/124.70 21047. p = rel_s4 @ sK19 | ($false != p @ (sK10 @ p @ (rel_s4 @ sK19))) <- {136} [trivial inequality removal 21046] 126.57/124.70 21048. ($false = $true) | ($false != p @ (sK10 @ p @ (rel_s4 @ sK19))) | p = rel_s4 @ sK19 | ($true != rel_s4 @ sK19 @ (sK10 @ p @ (rel_s4 @ sK19))) <- {136} [duplicate literal removal 21042] 126.57/124.70 21053. 1233 <=> ($true != rel_s4 @ sK19 @ (sK10 @ p @ (rel_s4 @ sK19))) [avatar definition] 126.57/124.70 21054. ($true != rel_s4 @ sK19 @ (sK10 @ p @ (rel_s4 @ sK19))) <- {1233} [avatar component clause 21053] 126.57/124.70 21059. 1235 <=> ($false != p @ (sK10 @ p @ (rel_s4 @ sK19))) [avatar definition] 126.57/124.70 21061. ~1233 | 684 | ~1235 | 0 | ~136 [avatar split clause 21048,2312,315,21059,8859,21053] 126.57/124.70 21062. ~1235 | 684 | ~136 [avatar split clause 21047,2312,8859,21059] 126.57/124.70 21063. ~1235 | ~1233 | 684 | 0 | ~136 [avatar split clause 21045,2312,315,8859,21053,21059] 126.57/124.70 21099. ($false = $true) | ($false = exists_in_world @ X10 @ X12) | ($false = rel_s4 @ X12 @ (sK10 @ (big_q @ X10) @ X11)) | ($false = rel_s4 @ sK13 @ X12) | ($false = rel_s4 @ X12 @ sK19) | big_q @ X10 = X11 | ($true != X11 @ (sK10 @ (big_q @ X10) @ X11)) <- {256} [superposition 4147,342] 126.57/124.70 21101. ($false = $true) | ($false = exists_in_world @ sK20 @ X14) | ($false = rel_s4 @ X14 @ sK28) | ($false = rel_s4 @ sK13 @ X14) | ($false = rel_s4 @ X14 @ sK19) <- {256, 272} [superposition 4147,4203] 126.57/124.70 21102. ($false = $true) | ($false = exists_in_world @ sK24 @ X15) | ($false = rel_s4 @ X15 @ sK30) | ($false = rel_s4 @ sK13 @ X15) | ($false = rel_s4 @ X15 @ sK19) <- {256, 302} [superposition 4147,4308] 126.57/124.70 21103. ($false = $true) | ($false = exists_in_world @ sK24 @ X16) | ($false = rel_s4 @ X16 @ sK33) | ($false = rel_s4 @ sK13 @ X16) | ($false = rel_s4 @ X16 @ sK19) <- {256, 546} [superposition 4147,7289] 126.57/124.70 21112. ($false = $true) | big_q @ X40 = X41 | ($true != X41 @ (sK10 @ (big_q @ X40) @ X41)) | ($false = exists_in_world @ X40 @ X42) | ($false = rel_s4 @ X42 @ (sK10 @ (big_q @ X40) @ X41)) | ($false = rel_s4 @ sK13 @ X42) | ($false = rel_s4 @ X42 @ sK19) <- {256} [superposition 342,4147] 126.57/124.70 21119. ($false = vOR_37 @ (vNOT_33 @ $true) @ $true) | ($false = exists_in_world @ sK20 @ X55) | ($false = rel_s4 @ X55 @ sK28) | ($false = rel_s4 @ sK13 @ X55) | ($false = rel_s4 @ X55 @ sK19) <- {256, 280} [superposition 4226,4147] 126.57/124.70 21120. ($false = $true) | ($false = exists_in_world @ sK20 @ X56) | ($false = rel_s4 @ X56 @ sK28) | ($false = rel_s4 @ sK13 @ X56) | ($false = rel_s4 @ X56 @ sK19) <- {256, 272} [superposition 4203,4147] 126.57/124.70 21121. ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ sK19 @ sK28)) @ $true) | ($false = exists_in_world @ sK20 @ X57) | ($false = rel_s4 @ X57 @ sK28) | ($false = rel_s4 @ sK13 @ X57) | ($false = rel_s4 @ X57 @ sK19) <- {102, 256} [superposition 2159,4147] 126.57/124.70 21122. ($false = vOR_37 @ (vNOT_33 @ $true) @ $true) | ($false = exists_in_world @ sK24 @ X58) | ($false = rel_s4 @ X58 @ sK30) | ($false = rel_s4 @ sK13 @ X58) | ($false = rel_s4 @ X58 @ sK19) <- {256, 310} [superposition 4331,4147] 126.57/124.70 21123. ($false = $true) | ($false = exists_in_world @ sK24 @ X59) | ($false = rel_s4 @ X59 @ sK30) | ($false = rel_s4 @ sK13 @ X59) | ($false = rel_s4 @ X59 @ sK19) <- {256, 302} [superposition 4308,4147] 126.57/124.70 21124. ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ sK19 @ sK30)) @ $true) | ($false = exists_in_world @ sK24 @ X60) | ($false = rel_s4 @ X60 @ sK30) | ($false = rel_s4 @ sK13 @ X60) | ($false = rel_s4 @ X60 @ sK19) <- {108, 256} [superposition 2193,4147] 126.57/124.70 21125. ($false = vOR_37 @ (vNOT_33 @ $true) @ $true) | ($false = exists_in_world @ sK24 @ X61) | ($false = rel_s4 @ X61 @ sK33) | ($false = rel_s4 @ sK13 @ X61) | ($false = rel_s4 @ X61 @ sK19) <- {256, 554} [superposition 7312,4147] 126.57/124.70 21126. ($false = $true) | ($false = exists_in_world @ sK24 @ X62) | ($false = rel_s4 @ X62 @ sK33) | ($false = rel_s4 @ sK13 @ X62) | ($false = rel_s4 @ X62 @ sK19) <- {256, 546} [superposition 7289,4147] 126.57/124.70 21127. ($false = vOR_37 @ (vNOT_33 @ (rel_s4 @ sK19 @ sK33)) @ $true) | ($false = exists_in_world @ sK24 @ X63) | ($false = rel_s4 @ X63 @ sK33) | ($false = rel_s4 @ sK13 @ X63) | ($false = rel_s4 @ X63 @ sK19) <- {256, 328} [superposition 4396,4147] 126.57/124.70 21128. ($false = $true) | ($false = exists_in_world @ sK24 @ X63) | ($false = rel_s4 @ X63 @ sK33) | ($false = rel_s4 @ sK13 @ X63) | ($false = rel_s4 @ X63 @ sK19) <- {256, 328} [HOL short circuit evaluation 21127] 126.57/124.70 21129. ($false = $true) | ($false = exists_in_world @ sK24 @ X61) | ($false = rel_s4 @ X61 @ sK33) | ($false = rel_s4 @ sK13 @ X61) | ($false = rel_s4 @ X61 @ sK19) <- {256, 554} [HOL short circuit evaluation 21125] 126.57/124.70 21130. ($false = $true) | ($false = exists_in_world @ sK24 @ X60) | ($false = rel_s4 @ X60 @ sK30) | ($false = rel_s4 @ sK13 @ X60) | ($false = rel_s4 @ X60 @ sK19) <- {108, 256} [HOL short circuit evaluation 21124] 126.57/124.70 21131. ($false = $true) | ($false = exists_in_world @ sK24 @ X58) | ($false = rel_s4 @ X58 @ sK30) | ($false = rel_s4 @ sK13 @ X58) | ($false = rel_s4 @ X58 @ sK19) <- {256, 310} [HOL short circuit evaluation 21122] 126.57/124.70 21132. ($false = $true) | ($false = exists_in_world @ sK20 @ X57) | ($false = rel_s4 @ X57 @ sK28) | ($false = rel_s4 @ sK13 @ X57) | ($false = rel_s4 @ X57 @ sK19) <- {102, 256} [HOL short circuit evaluation 21121] 126.57/124.70 21133. ($false = $true) | ($false = exists_in_world @ sK20 @ X55) | ($false = rel_s4 @ X55 @ sK28) | ($false = rel_s4 @ sK13 @ X55) | ($false = rel_s4 @ X55 @ sK19) <- {256, 280} [HOL short circuit evaluation 21119] 126.57/124.70 21140. 1236 <=> ! [X11 : ($i > $o),X10 : mu,X12] : (($false = exists_in_world @ X10 @ X12) | ($true != X11 @ (sK10 @ (big_q @ X10) @ X11)) | big_q @ X10 = X11 | ($false = rel_s4 @ X12 @ sK19) | ($false = rel_s4 @ sK13 @ X12) | ($false = rel_s4 @ X12 @ (sK10 @ (big_q @ X10) @ X11))) [avatar definition] 126.57/124.70 21142. 1236 | 0 | ~256 [avatar split clause 21099,4146,315,21140] 126.57/124.70 21144. 1238 <=> ! [X14] : (($false = exists_in_world @ sK20 @ X14) | ($false = rel_s4 @ X14 @ sK19) | ($false = rel_s4 @ sK13 @ X14) | ($false = rel_s4 @ X14 @ sK28)) [avatar definition] 126.57/124.70 21145. ($false = exists_in_world @ sK20 @ X14) | ($false = rel_s4 @ X14 @ sK19) | ($false = rel_s4 @ sK13 @ X14) | ($false = rel_s4 @ X14 @ sK28) <- {1238} [avatar component clause 21144] 126.57/124.70 21146. 1238 | 0 | ~256 | ~272 [avatar split clause 21101,4202,4146,315,21144] 126.57/124.70 21148. 1240 <=> ! [X15] : (($false = exists_in_world @ sK24 @ X15) | ($false = rel_s4 @ X15 @ sK19) | ($false = rel_s4 @ sK13 @ X15) | ($false = rel_s4 @ X15 @ sK30)) [avatar definition] 126.57/124.70 21150. 1240 | 0 | ~256 | ~302 [avatar split clause 21102,4307,4146,315,21148] 126.57/124.70 21152. 1242 <=> ! [X16] : (($false = exists_in_world @ sK24 @ X16) | ($false = rel_s4 @ X16 @ sK19) | ($false = rel_s4 @ sK13 @ X16) | ($false = rel_s4 @ X16 @ sK33)) [avatar definition] 126.57/124.70 21154. 1242 | 0 | ~256 | ~546 [avatar split clause 21103,7288,4146,315,21152] 126.57/124.70 21155. 1236 | 0 | ~256 [avatar split clause 21112,4146,315,21140] 126.57/124.70 21156. 1238 | 0 | ~256 | ~280 [avatar split clause 21133,4225,4146,315,21144] 126.57/124.70 21157. 1238 | 0 | ~256 | ~272 [avatar split clause 21120,4202,4146,315,21144] 126.57/124.70 21158. 1238 | 0 | ~102 | ~256 [avatar split clause 21132,4146,2158,315,21144] 126.57/124.70 21159. 1240 | 0 | ~256 | ~310 [avatar split clause 21131,4330,4146,315,21148] 126.57/124.70 21160. 1240 | 0 | ~256 | ~302 [avatar split clause 21123,4307,4146,315,21148] 126.57/124.70 21161. 1240 | 0 | ~108 | ~256 [avatar split clause 21130,4146,2192,315,21148] 126.57/124.70 21162. 1242 | 0 | ~256 | ~554 [avatar split clause 21129,7311,4146,315,21152] 126.57/124.70 21163. 1242 | 0 | ~256 | ~546 [avatar split clause 21126,7288,4146,315,21152] 126.57/124.70 21164. 1242 | 0 | ~256 | ~328 [avatar split clause 21128,4395,4146,315,21152] 126.57/124.70 21191. ($true = rel_s4 @ sK18 @ sK13) <- {129, 343} [unit resulting resolution 2286,4521,253] 126.57/124.70 21194. ($false = rel_s4 @ sK13 @ (sK10 @ p @ (rel_s4 @ sK18))) <- {343, 641} [unit resulting resolution 8171,4521,253] 126.57/124.70 21197. rel_s4 @ sK13 = rel_s4 @ sK18 <- {343, 701} [unit resulting resolution 9066,4521,5049] 126.57/124.70 21198. rel_s4 @ sK13 = rel_s4 @ sK18 <- {343, 701} [unit resulting resolution 9066,4521,5049] 126.57/124.70 21199. rel_s4 @ sK13 = rel_s4 @ sK18 <- {129, 343, 701} [unit resulting resolution 9066,2286,4521,5075] 126.57/124.70 21201. rel_s4 @ sK13 = rel_s4 @ sK18 <- {129, 343, 701} [unit resulting resolution 2286,9066,4521,5075] 126.57/124.70 21203. rel_s4 @ sK13 = rel_s4 @ sK18 <- {343, 701} [unit resulting resolution 4521,9066,9066,4521,5599] 126.57/124.70 21205. rel_s4 @ sK13 = rel_s4 @ sK18 <- {343, 701} [unit resulting resolution 9066,4521,9066,4521,5599] 126.57/124.70 21206. rel_s4 @ sK13 = rel_s4 @ sK18 <- {129, 343, 701} [unit resulting resolution 2286,2286,9066,4521,5599] 126.57/124.70 21207. rel_s4 @ sK13 = rel_s4 @ sK18 <- {343, 701} [unit resulting resolution 4521,9066,9066,4521,5599] 126.57/124.70 21208. rel_s4 @ sK13 = rel_s4 @ sK18 <- {129, 343, 701} [unit resulting resolution 9066,2286,2286,4521,5599] 126.57/124.70 21209. rel_s4 @ sK13 = rel_s4 @ sK18 <- {343, 701} [unit resulting resolution 9066,4521,9066,4521,5599] 126.57/124.70 21210. rel_s4 @ sK13 = rel_s4 @ sK18 <- {129, 343, 701} [unit resulting resolution 2286,2286,2286,9066,4521,5856] 126.57/124.70 21211. rel_s4 @ sK13 = rel_s4 @ sK18 <- {129, 343, 701} [unit resulting resolution 4521,9066,2286,9066,4521,5856] 126.57/124.70 21212. rel_s4 @ sK13 = rel_s4 @ sK18 <- {129, 343, 701} [unit resulting resolution 2286,4521,9066,9066,4521,5856] 126.57/124.70 21214. rel_s4 @ sK13 = rel_s4 @ sK18 <- {129, 343, 701} [unit resulting resolution 9066,4521,9066,2286,4521,5856] 126.57/124.70 21216. rel_s4 @ sK13 = rel_s4 @ sK18 <- {129, 343, 701} [unit resulting resolution 9066,2286,2286,2286,4521,5856] 126.57/124.70 21217. rel_s4 @ sK13 = rel_s4 @ sK18 <- {129, 343, 701} [unit resulting resolution 9066,4521,9066,2286,4521,5856] 126.57/124.70 21218. rel_s4 @ sK13 = rel_s4 @ sK18 <- {129, 343, 701} [unit resulting resolution 9066,2286,4521,9066,4521,5856] 126.57/124.70 21220. rel_s4 @ sK13 = rel_s4 @ sK18 <- {129, 343, 701} [unit resulting resolution 9066,4521,2286,9066,4521,5856] 126.57/124.70 21221. rel_s4 @ sK13 = rel_s4 @ sK18 <- {129, 343, 701} [unit resulting resolution 2286,9066,4521,9066,4521,5856] 126.57/124.70 21224. rel_s4 @ sK13 = rel_s4 @ sK18 <- {129, 343, 701} [unit resulting resolution 2286,4521,9066,9066,4521,5856] 126.57/124.70 21242. 1244 <=> rel_s4 @ sK13 = rel_s4 @ sK18 [avatar definition] 126.57/124.70 21244. 1244 | 129 | 343 | 701 [avatar split clause 21224,9065,4520,2285,21242] 126.57/124.70 21245. 1244 | 129 | 343 | 701 [avatar split clause 21221,9065,4520,2285,21242] 126.57/124.70 21246. 1244 | 129 | 343 | 701 [avatar split clause 21220,9065,4520,2285,21242] 126.57/124.70 21247. 1244 | 129 | 343 | 701 [avatar split clause 21218,9065,4520,2285,21242] 126.57/124.70 21248. 1244 | 129 | 343 | 701 [avatar split clause 21217,9065,4520,2285,21242] 126.57/124.70 21249. 1244 | 129 | 343 | 701 [avatar split clause 21216,9065,4520,2285,21242] 126.57/124.70 21250. 1244 | 129 | 343 | 701 [avatar split clause 21214,9065,4520,2285,21242] 126.57/124.70 21251. 1244 | 129 | 343 | 701 [avatar split clause 21212,9065,4520,2285,21242] 126.57/124.70 21252. 1244 | 129 | 343 | 701 [avatar split clause 21211,9065,4520,2285,21242] 126.57/124.70 21253. 1244 | 129 | 343 | 701 [avatar split clause 21210,9065,4520,2285,21242] 126.57/124.70 21254. 1244 | 343 | 701 [avatar split clause 21209,9065,4520,21242] 126.57/124.70 21255. 1244 | 129 | 343 | 701 [avatar split clause 21208,9065,4520,2285,21242] 126.57/124.70 21256. 1244 | 343 | 701 [avatar split clause 21207,9065,4520,21242] 126.57/124.70 21257. 1244 | 129 | 343 | 701 [avatar split clause 21206,9065,4520,2285,21242] 126.57/124.70 21258. 1244 | 343 | 701 [avatar split clause 21205,9065,4520,21242] 126.57/124.70 21259. 1244 | 343 | 701 [avatar split clause 21203,9065,4520,21242] 126.57/124.70 21260. 1244 | 129 | 343 | 701 [avatar split clause 21201,9065,4520,2285,21242] 126.57/124.70 21261. 1244 | 129 | 343 | 701 [avatar split clause 21199,9065,4520,2285,21242] 126.57/124.70 21262. 1244 | 343 | 701 [avatar split clause 21198,9065,4520,21242] 126.57/124.70 21263. 1244 | 343 | 701 [avatar split clause 21197,9065,4520,21242] 126.57/124.70 21268. 1246 <=> ($false = rel_s4 @ sK13 @ (sK10 @ p @ (rel_s4 @ sK18))) [avatar definition] 126.57/124.70 21270. 1246 | 343 | 641 [avatar split clause 21194,8170,4520,21268] 126.57/124.70 21275. 1248 <=> ($true = rel_s4 @ sK18 @ sK13) [avatar definition] 126.57/124.70 21277. 1248 | 129 | 343 [avatar split clause 21191,4520,2285,21275] 126.57/124.70 21296. ($false = $true) | ($false = rel_s4 @ sK18 @ X0) | ($false = rel_s4 @ X0 @ sK19) <- {370} [superposition 4687,253] 126.57/124.70 21297. ($false = $true) | ($false = rel_s4 @ sK18 @ X0) | ($false = rel_s4 @ X0 @ sK19) <- {370} [superposition 253,4687] 126.57/124.70 21299. 1250 <=> ! [X0] : (($false = rel_s4 @ sK18 @ X0) | ($false = rel_s4 @ X0 @ sK19)) [avatar definition] 126.57/124.70 21301. 1250 | 0 | ~370 [avatar split clause 21296,4686,315,21299] 126.57/124.70 21302. 1250 | 0 | ~370 [avatar split clause 21297,4686,315,21299] 126.57/124.70 21322. ($false = $true) | ($false = rel_s4 @ sK19 @ X3) | ($false = rel_s4 @ X3 @ (sK17 @ sK19)) <- {1210} [superposition 20794,253] 126.57/124.70 21325. ($false = $true) | ($false = rel_s4 @ sK19 @ X6) | ($false = rel_s4 @ X6 @ (sK17 @ sK19)) <- {1210} [superposition 253,20794] 126.57/124.70 21327. 1252 <=> ! [X3] : (($false = rel_s4 @ sK19 @ X3) | ($false = rel_s4 @ X3 @ (sK17 @ sK19))) [avatar definition] 126.57/124.70 21329. 1252 | 0 | ~1210 [avatar split clause 21322,20793,315,21327] 126.57/124.70 21330. 1252 | 0 | ~1210 [avatar split clause 21325,20793,315,21327] 126.57/124.70 21391. ($false = $true) | ($true = p @ X2) | ($false = rel_s4 @ sK22 @ X3) | ($false = rel_s4 @ X3 @ X2) <- {727, 1202} [superposition 20943,253] 126.57/124.70 21394. ($false = $true) | ($false = rel_s4 @ sK22 @ X2) | ($false = rel_s4 @ X2 @ X1) | ($true = p @ X1) <- {727, 1202} [superposition 253,20943] 126.57/124.70 21455. 1254 <=> ! [X3,X2] : (($true = p @ X2) | ($false = rel_s4 @ sK22 @ X3) | ($false = rel_s4 @ X3 @ X2)) [avatar definition] 126.57/124.70 21457. 1254 | 0 | 727 | ~1202 [avatar split clause 21391,20727,9309,315,21455] 126.57/124.70 21458. 1254 | 0 | 727 | ~1202 [avatar split clause 21394,20727,9309,315,21455] 126.57/124.70 21459. ($false = rel_s4 @ sK28 @ (sK17 @ sK13)) <- {717, 1224} [unit resulting resolution 9163,20960] 126.57/124.70 21460. ($false = rel_s4 @ sK28 @ (sK17 @ sK18)) <- {707, 1224} [unit resulting resolution 9113,20960] 126.57/124.70 21470. ($false = $true) | ($true = p @ X2) | ($false = rel_s4 @ sK28 @ X3) | ($false = rel_s4 @ X3 @ X2) <- {1224} [superposition 20960,253] 126.57/124.70 21473. ($false = $true) | ($false = rel_s4 @ sK28 @ X2) | ($false = rel_s4 @ X2 @ X1) | ($true = p @ X1) <- {1224} [superposition 253,20960] 126.57/124.70 21533. 1256 <=> ($false = rel_s4 @ sK28 @ (sK17 @ sK18)) [avatar definition] 126.57/124.70 21535. 1256 | 707 | ~1224 [avatar split clause 21460,20959,9112,21533] 126.57/124.70 21540. 1258 <=> ($false = rel_s4 @ sK28 @ (sK17 @ sK13)) [avatar definition] 126.57/124.70 21542. 1258 | 717 | ~1224 [avatar split clause 21459,20959,9162,21540] 126.57/124.70 21544. 1260 <=> ! [X3,X2] : (($true = p @ X2) | ($false = rel_s4 @ sK28 @ X3) | ($false = rel_s4 @ X3 @ X2)) [avatar definition] 126.57/124.70 21546. 1260 | 0 | ~1224 [avatar split clause 21470,20959,315,21544] 126.57/124.70 21547. 1260 | 0 | ~1224 [avatar split clause 21473,20959,315,21544] 126.57/124.70 21548. ($false = rel_s4 @ sK30 @ (sK17 @ sK13)) <- {717, 1226} [unit resulting resolution 9163,20964] 126.57/124.70 21549. ($false = rel_s4 @ sK30 @ (sK17 @ sK18)) <- {707, 1226} [unit resulting resolution 9113,20964] 126.57/124.70 21559. ($false = $true) | ($true = p @ X2) | ($false = rel_s4 @ sK30 @ X3) | ($false = rel_s4 @ X3 @ X2) <- {1226} [superposition 20964,253] 126.57/124.70 21562. ($false = $true) | ($false = rel_s4 @ sK30 @ X2) | ($false = rel_s4 @ X2 @ X1) | ($true = p @ X1) <- {1226} [superposition 253,20964] 126.57/124.70 21622. 1262 <=> ($false = rel_s4 @ sK30 @ (sK17 @ sK18)) [avatar definition] 126.57/124.70 21624. 1262 | 707 | ~1226 [avatar split clause 21549,20963,9112,21622] 126.57/124.70 21629. 1264 <=> ($false = rel_s4 @ sK30 @ (sK17 @ sK13)) [avatar definition] 126.57/124.70 21631. 1264 | 717 | ~1226 [avatar split clause 21548,20963,9162,21629] 126.57/124.70 21633. 1266 <=> ! [X3,X2] : (($true = p @ X2) | ($false = rel_s4 @ sK30 @ X3) | ($false = rel_s4 @ X3 @ X2)) [avatar definition] 126.57/124.70 21635. 1266 | 0 | ~1226 [avatar split clause 21559,20963,315,21633] 126.57/124.70 21636. 1266 | 0 | ~1226 [avatar split clause 21562,20963,315,21633] 126.57/124.70 21637. ($true != $true) | ($false = rel_s4 @ sK19 @ (sK10 @ p @ (rel_s4 @ sK19))) <- {1233} [fool paramodulation 21054] 126.57/124.70 21638. ($false = rel_s4 @ sK19 @ (sK10 @ p @ (rel_s4 @ sK19))) <- {735, 1233} [unit resulting resolution 9416,21054,253] 126.57/124.70 21639. ($false = rel_s4 @ sK22 @ (sK10 @ p @ (rel_s4 @ sK19))) <- {727, 1233} [unit resulting resolution 9310,21054,253] 126.57/124.70 21640. ($false = rel_s4 @ sK31 @ (sK10 @ p @ (rel_s4 @ sK19))) <- {779, 1233} [unit resulting resolution 9829,21054,253] 126.57/124.70 21668. ($false = rel_s4 @ sK19 @ (sK10 @ p @ (rel_s4 @ sK19))) <- {1233} [trivial inequality removal 21637] 126.57/124.70 21673. 1268 <=> ($false = rel_s4 @ sK19 @ (sK10 @ p @ (rel_s4 @ sK19))) [avatar definition] 126.57/124.70 21675. 1268 | 1233 [avatar split clause 21668,21053,21673] 126.57/124.70 21680. 1270 <=> ($false = rel_s4 @ sK31 @ (sK10 @ p @ (rel_s4 @ sK19))) [avatar definition] 126.57/124.70 21682. 1270 | 779 | 1233 [avatar split clause 21640,21053,9828,21680] 126.57/124.70 21687. 1272 <=> ($false = rel_s4 @ sK22 @ (sK10 @ p @ (rel_s4 @ sK19))) [avatar definition] 126.57/124.70 21689. 1272 | 727 | 1233 [avatar split clause 21639,21053,9309,21687] 126.57/124.70 21690. 1268 | 735 | 1233 [avatar split clause 21638,21053,9415,21673] 126.57/124.70 21691. ($false = rel_s4 @ sK34 @ sK23) <- {245, 608} [unit resulting resolution 4060,7770] 126.57/124.70 21701. ($false = $true) | ($false = p @ (sK17 @ X2)) | ($false = rel_s4 @ sK34 @ X3) | ($false = rel_s4 @ X3 @ X2) <- {608} [superposition 7770,253] 126.57/124.70 21704. ($false = $true) | ($false = rel_s4 @ sK34 @ X2) | ($false = rel_s4 @ X2 @ X1) | ($false = p @ (sK17 @ X1)) <- {608} [superposition 253,7770] 126.57/124.70 21761. 1275 <=> ($false != rel_s4 @ sK34 @ sK23) [avatar definition] 126.57/124.70 21764. 1274 <=> ($false = rel_s4 @ sK34 @ sK23) [avatar definition] 126.57/124.70 21765. ($false = rel_s4 @ sK34 @ sK23) <- {1274} [avatar component clause 21764] 126.57/124.70 21766. 1274 | 245 | ~608 [avatar split clause 21691,7769,4059,21764] 126.57/124.70 21768. 1276 <=> ! [X3,X2] : (($false = p @ (sK17 @ X2)) | ($false = rel_s4 @ sK34 @ X3) | ($false = rel_s4 @ X3 @ X2)) [avatar definition] 126.57/124.70 21770. 1276 | 0 | ~608 [avatar split clause 21701,7769,315,21768] 126.57/124.70 21771. 1276 | 0 | ~608 [avatar split clause 21704,7769,315,21768] 126.57/124.70 21788. ($false = vNOT_33 @ (rel_s4 @ sK22 @ (sK17 @ sK22))) <- {444} [HOL binary constant elimination 6806] 126.57/124.70 21799. ($false = vOR_37 @ (vNOT_33 @ $false) @ $false) | ($true = p @ (sK17 @ sK22)) <- {444, 727, 1202} [superposition 6806,20943] 126.57/124.70 21800. ($false = vOR_37 @ (vNOT_33 @ $false) @ $false) | ($false = p @ (sK17 @ (sK17 @ sK22))) <- {444, 614} [superposition 6806,7852] 126.57/124.70 21802. ($true = rel_s4 @ sK22 @ (sK17 @ sK22)) <- {444} [HOL not constant elimination 21788] 126.57/124.70 21807. 1278 <=> ($true = rel_s4 @ sK22 @ (sK17 @ sK22)) [avatar definition] 126.57/124.70 21809. 1278 | ~444 [avatar split clause 21802,6805,21807] 126.57/124.70 21810. ($false = $true) | ($false = vOR_37 @ (vNOT_33 @ $false) @ $false) <- {262, 444, 727, 1202} [forward demodulation 21799,4164] 126.57/124.70 21811. 252 | 0 | ~262 | ~444 | 727 | ~1202 [avatar split clause 21810,20727,9309,6805,4163,315,4084] 126.57/124.70 21816. 1280 <=> ($false = p @ (sK17 @ (sK17 @ sK22))) [avatar definition] 126.57/124.70 21818. 1280 | 252 | ~444 | ~614 [avatar split clause 21800,7851,6805,4084,21816] 126.57/124.70 21819. ($true = vNOT_33 @ (rel_s4 @ sK22 @ (sK17 @ sK22))) | ($false = $true) <- {445} [HOL binary constant elimination 6803] 126.57/124.70 21820. ($false = rel_s4 @ sK22 @ (sK17 @ sK22)) | ($false = $true) <- {445} [HOL not constant elimination 21819] 126.57/124.70 21825. 1282 <=> ($false = rel_s4 @ sK22 @ (sK17 @ sK22)) [avatar definition] 126.57/124.70 21826. ($false = rel_s4 @ sK22 @ (sK17 @ sK22)) <- {1282} [avatar component clause 21825] 126.57/124.70 21827. 0 | 1282 | 445 [avatar split clause 21820,6802,21825,315] 126.57/124.70 21837. ($false = $true) | ($false = rel_s4 @ sK22 @ X3) | ($false = rel_s4 @ X3 @ (sK17 @ sK22)) <- {1282} [superposition 21826,253] 126.57/124.70 21840. ($false = $true) | ($false = rel_s4 @ sK22 @ X6) | ($false = rel_s4 @ X6 @ (sK17 @ sK22)) <- {1282} [superposition 253,21826] 126.57/124.70 21842. 1284 <=> ! [X3] : (($false = rel_s4 @ sK22 @ X3) | ($false = rel_s4 @ X3 @ (sK17 @ sK22))) [avatar definition] 126.57/124.70 21844. 1284 | 0 | ~1282 [avatar split clause 21837,21825,315,21842] 126.57/124.70 21845. 1284 | 0 | ~1282 [avatar split clause 21840,21825,315,21842] 126.57/124.70 21846. ($false = vNOT_33 @ (rel_s4 @ sK29 @ (sK17 @ sK29))) <- {478} [HOL binary constant elimination 6952] 126.57/124.70 21857. ($false = vOR_37 @ (vNOT_33 @ $false) @ $false) | ($true = p @ (sK17 @ sK29)) <- {478, 576} [superposition 6952,7458] 126.57/124.70 21859. ($true = rel_s4 @ sK29 @ (sK17 @ sK29)) <- {478} [HOL not constant elimination 21846] 126.57/124.70 21864. 1286 <=> ($true = rel_s4 @ sK29 @ (sK17 @ sK29)) [avatar definition] 126.57/124.70 21866. 1286 | ~478 [avatar split clause 21859,6951,21864] 126.57/124.70 21867. ($false = $true) | ($false = vOR_37 @ (vNOT_33 @ $false) @ $false) <- {290, 478, 576} [forward demodulation 21857,4267] 126.57/124.70 21868. 252 | 0 | ~290 | ~478 | ~576 [avatar split clause 21867,7457,6951,4266,315,4084] 126.57/124.70 21873. 1288 <=> ($true = p @ (sK17 @ sK29)) [avatar definition] 126.57/124.70 21875. 1288 | 252 | ~478 | ~576 [avatar split clause 21857,7457,6951,4084,21873] 126.57/124.70 21880. 1290 <=> ($false = vOR_37 @ (vNOT_33 @ $false) @ (p @ (sK17 @ sK29))) [avatar definition] 126.57/124.70 21882. 1288 | 476 | 1290 | ~6 | ~576 [avatar split clause 19771,7457,368,21880,6945,21873] 126.57/124.70 21883. 1288 | 476 | 0 | ~6 | ~576 [avatar split clause 19770,7457,368,315,6945,21873] 126.57/124.70 21884. 476 | 1288 | 0 | ~6 | ~576 [avatar split clause 19722,7457,368,315,21873,6945] 126.57/124.70 21886. ($false = rel_s4 @ sK19 @ sK29) <- {138, 291} [unit resulting resolution 4264,2316] 126.57/124.70 21887. ($false = rel_s4 @ sK19 @ sK29) <- {254, 291, 735} [unit resulting resolution 9416,4264,4143] 126.57/124.70 21888. ($false = rel_s4 @ sK22 @ sK29) <- {254, 291, 727} [unit resulting resolution 9310,4264,4143] 126.57/124.70 21889. ($false = rel_s4 @ sK31 @ sK29) <- {254, 291, 779} [unit resulting resolution 9829,4264,4143] 126.57/124.70 21890. ($false = rel_s4 @ sK22 @ sK29) <- {291, 614} [unit resulting resolution 4264,7852] 126.57/124.70 21891. ($false = rel_s4 @ sK28 @ sK29) <- {291, 616} [unit resulting resolution 4264,7856] 126.57/124.70 21892. ($false = rel_s4 @ sK30 @ sK29) <- {291, 618} [unit resulting resolution 4264,7860] 126.57/124.70 21893. ($false = rel_s4 @ sK33 @ sK29) <- {291, 620} [unit resulting resolution 4264,7881] 126.57/124.70 21898. 1292 <=> ($false = rel_s4 @ sK33 @ sK29) [avatar definition] 126.57/124.70 21900. 1292 | 291 | ~620 [avatar split clause 21893,7880,4263,21898] 126.57/124.70 21905. 1294 <=> ($false = rel_s4 @ sK30 @ sK29) [avatar definition] 126.57/124.70 21907. 1294 | 291 | ~618 [avatar split clause 21892,7859,4263,21905] 126.57/124.70 21912. 1296 <=> ($false = rel_s4 @ sK28 @ sK29) [avatar definition] 126.57/124.70 21914. 1296 | 291 | ~616 [avatar split clause 21891,7855,4263,21912] 126.57/124.70 21919. 1298 <=> ($false = rel_s4 @ sK22 @ sK29) [avatar definition] 126.57/124.70 21921. 1298 | 291 | ~614 [avatar split clause 21890,7851,4263,21919] 126.57/124.70 21926. 1300 <=> ($false = rel_s4 @ sK31 @ sK29) [avatar definition] 126.57/124.70 21928. 1300 | ~254 | 291 | 779 [avatar split clause 21889,9828,4263,4142,21926] 126.57/124.70 21929. 1298 | ~254 | 291 | 727 [avatar split clause 21888,9309,4263,4142,21919] 126.57/124.70 21934. 1302 <=> ($false = rel_s4 @ sK19 @ sK29) [avatar definition] 126.57/124.70 21936. 1302 | ~254 | 291 | 735 [avatar split clause 21887,9415,4263,4142,21934] 126.57/124.70 21937. 1302 | ~138 | 291 [avatar split clause 21886,4263,2315,21934] 126.57/124.70 21938. ($false = vNOT_33 @ (rel_s4 @ sK30 @ (sK17 @ sK30))) <- {494} [HOL binary constant elimination 7022] 126.57/124.70 21949. ($false = vOR_37 @ (vNOT_33 @ $false) @ $false) | ($true = p @ (sK17 @ sK30)) <- {494, 1226} [superposition 7022,20964] 126.57/124.70 21950. ($false = vOR_37 @ (vNOT_33 @ $false) @ $false) | ($false = p @ (sK17 @ (sK17 @ sK30))) <- {494, 618} [superposition 7022,7860] 126.57/124.70 21952. ($true = rel_s4 @ sK30 @ (sK17 @ sK30)) <- {494} [HOL not constant elimination 21938] 126.57/124.70 21957. 1304 <=> ($true = rel_s4 @ sK30 @ (sK17 @ sK30)) [avatar definition] 126.57/124.70 21959. 1304 | ~494 [avatar split clause 21952,7021,21957] 126.57/124.70 21960. ($false = $true) | ($false = vOR_37 @ (vNOT_33 @ $false) @ $false) <- {304, 494, 1226} [forward demodulation 21949,4315] 126.57/124.70 21961. 252 | 0 | ~304 | ~494 | ~1226 [avatar split clause 21960,20963,7021,4314,315,4084] 126.57/124.70 21962. 1148 | 252 | ~494 | ~618 [avatar split clause 21950,7859,7021,4084,20355] 126.57/124.70 21963. ($true = vNOT_33 @ (rel_s4 @ sK30 @ (sK17 @ sK30))) | ($false = $true) <- {495} [HOL binary constant elimination 7019] 126.57/124.70 21964. ($false = rel_s4 @ sK30 @ (sK17 @ sK30)) | ($false = $true) <- {495} [HOL not constant elimination 21963] 126.57/124.70 21969. 1306 <=> ($false = rel_s4 @ sK30 @ (sK17 @ sK30)) [avatar definition] 126.57/124.70 21970. ($false = rel_s4 @ sK30 @ (sK17 @ sK30)) <- {1306} [avatar component clause 21969] 126.57/124.70 21971. 0 | 1306 | 495 [avatar split clause 21964,7018,21969,315] 126.57/124.70 21981. ($false = $true) | ($false = rel_s4 @ sK30 @ X3) | ($false = rel_s4 @ X3 @ (sK17 @ sK30)) <- {1306} [superposition 21970,253] 126.57/124.70 21984. ($false = $true) | ($false = rel_s4 @ sK30 @ X6) | ($false = rel_s4 @ X6 @ (sK17 @ sK30)) <- {1306} [superposition 253,21970] 126.57/124.70 21986. 1308 <=> ! [X3] : (($false = rel_s4 @ sK30 @ X3) | ($false = rel_s4 @ X3 @ (sK17 @ sK30))) [avatar definition] 126.57/124.70 21988. 1308 | 0 | ~1306 [avatar split clause 21981,21969,315,21986] 126.57/124.70 21989. 1308 | 0 | ~1306 [avatar split clause 21984,21969,315,21986] 126.57/124.70 21990. ($false = vNOT_33 @ (rel_s4 @ sK31 @ (sK17 @ sK31))) <- {512} [HOL binary constant elimination 7099] 126.57/124.70 22001. ($false = vOR_37 @ (vNOT_33 @ $false) @ $false) | ($true = p @ (sK17 @ sK31)) <- {512, 578} [superposition 7099,7462] 126.57/124.70 22003. ($true = rel_s4 @ sK31 @ (sK17 @ sK31)) <- {512} [HOL not constant elimination 21990] 126.57/124.70 22008. 1310 <=> ($true = rel_s4 @ sK31 @ (sK17 @ sK31)) [avatar definition] 126.57/124.70 22010. 1310 | ~512 [avatar split clause 22003,7098,22008] 126.57/124.70 22011. ($false = $true) | ($false = vOR_37 @ (vNOT_33 @ $false) @ $false) <- {318, 512, 578} [forward demodulation 22001,4363] 126.57/124.70 22012. 252 | 0 | ~318 | ~512 | ~578 [avatar split clause 22011,7461,7098,4362,315,4084] 126.57/124.70 22017. 1312 <=> ($true = p @ (sK17 @ sK31)) [avatar definition] 126.57/124.70 22019. 1312 | 252 | ~512 | ~578 [avatar split clause 22001,7461,7098,4084,22017] 126.57/124.70 22024. 1314 <=> ($false = vOR_37 @ (vNOT_33 @ $false) @ (p @ (sK17 @ sK31))) [avatar definition] 126.57/124.70 22026. 1312 | 510 | 1314 | ~6 | ~578 [avatar split clause 19871,7461,368,22024,7092,22017] 126.57/124.70 22027. 1312 | 510 | 0 | ~6 | ~578 [avatar split clause 19870,7461,368,315,7092,22017] 126.57/124.70 22028. 510 | 1312 | 0 | ~6 | ~578 [avatar split clause 19822,7461,368,315,22017,7092] 126.57/124.70 22034. ($false = rel_s4 @ sK28 @ sK31) <- {319, 616} [unit resulting resolution 4360,7856] 126.57/124.70 22035. ($false = rel_s4 @ sK30 @ sK31) <- {319, 618} [unit resulting resolution 4360,7860] 126.57/124.70 22036. ($false = rel_s4 @ sK33 @ sK31) <- {319, 620} [unit resulting resolution 4360,7881] 126.57/124.70 22041. 1316 <=> ($false = rel_s4 @ sK33 @ sK31) [avatar definition] 126.57/124.70 22043. 1316 | 319 | ~620 [avatar split clause 22036,7880,4359,22041] 126.57/124.70 22048. 1318 <=> ($false = rel_s4 @ sK30 @ sK31) [avatar definition] 126.57/124.70 22050. 1318 | 319 | ~618 [avatar split clause 22035,7859,4359,22048] 126.57/124.70 22055. 1320 <=> ($false = rel_s4 @ sK28 @ sK31) [avatar definition] 126.57/124.70 22057. 1320 | 319 | ~616 [avatar split clause 22034,7855,4359,22055] 126.57/124.70 22078. ($false = vNOT_33 @ (rel_s4 @ (sK17 @ sK18) @ (sK17 @ (sK17 @ sK18)))) <- {528} [HOL binary constant elimination 7176] 126.57/124.70 22090. ($true = rel_s4 @ (sK17 @ sK18) @ (sK17 @ (sK17 @ sK18))) <- {528} [HOL not constant elimination 22078] 126.57/124.70 22095. 1322 <=> ($true = rel_s4 @ (sK17 @ sK18) @ (sK17 @ (sK17 @ sK18))) [avatar definition] 126.57/124.70 22097. 1322 | ~528 [avatar split clause 22090,7175,22095] 126.57/124.70 22098. ($false = vNOT_33 @ (rel_s4 @ (sK17 @ sK19) @ (sK17 @ (sK17 @ sK19)))) <- {540} [HOL binary constant elimination 7240] 126.57/124.70 22110. ($true = rel_s4 @ (sK17 @ sK19) @ (sK17 @ (sK17 @ sK19))) <- {540} [HOL not constant elimination 22098] 126.57/124.70 22115. 1324 <=> ($true = rel_s4 @ (sK17 @ sK19) @ (sK17 @ (sK17 @ sK19))) [avatar definition] 126.57/124.70 22117. 1324 | ~540 [avatar split clause 22110,7239,22115] 126.57/124.70 22118. ($false = rel_s4 @ sK29 @ sK23) <- {245, 600} [unit resulting resolution 4060,7746] 126.57/124.70 22119. ($false = rel_s4 @ sK29 @ sK29) <- {291, 600} [unit resulting resolution 4264,7746] 126.57/124.70 22120. ($false = rel_s4 @ sK29 @ sK31) <- {319, 600} [unit resulting resolution 4360,7746] 126.57/124.70 22129. ($false = $true) | ($false = p @ (sK17 @ sK29)) <- {600} [superposition 7746,258] 126.57/124.70 22130. ($false = $true) | ($false = p @ (sK17 @ X2)) | ($false = rel_s4 @ sK29 @ X3) | ($false = rel_s4 @ X3 @ X2) <- {600} [superposition 7746,253] 126.57/124.70 22131. ($false = $true) | ($false = p @ (sK17 @ (sK17 @ sK29))) | ($false = exists_in_world @ X203 @ X204) | ($false = rel_s4 @ X204 @ sK29) | ($false = rel_s4 @ sK13 @ X204) | ($false = rel_s4 @ X204 @ X205) | ($true = big_q @ X203 @ X205) <- {6, 600} [superposition 7746,1389] 126.57/124.70 22132. ($false = $true) | ($false = p @ (sK17 @ sK29)) <- {600} [superposition 258,7746] 126.57/124.70 22133. ($false = $true) | ($false = rel_s4 @ sK29 @ X2) | ($false = rel_s4 @ X2 @ X1) | ($false = p @ (sK17 @ X1)) <- {600} [superposition 253,7746] 126.57/124.70 22179. ($false = $true) | ($false = exists_in_world @ X347 @ X348) | ($false = rel_s4 @ X348 @ sK29) | ($false = rel_s4 @ sK13 @ X348) | ($false = rel_s4 @ X348 @ X349) | ($true = big_q @ X347 @ X349) | ($false = p @ (sK17 @ (sK17 @ sK29))) <- {6, 600} [superposition 1389,7746] 126.57/124.70 22181. ($false = vOR_37 @ (vNOT_33 @ $false) @ $false) | ($false = p @ (sK17 @ (sK17 @ sK29))) <- {478, 600} [superposition 6952,7746] 126.57/124.70 22194. 1326 <=> ($false = rel_s4 @ sK29 @ sK31) [avatar definition] 126.57/124.70 22196. 1326 | 319 | ~600 [avatar split clause 22120,7745,4359,22194] 126.57/124.70 22201. 1328 <=> ($false = rel_s4 @ sK29 @ sK29) [avatar definition] 126.57/124.70 22203. 1328 | 291 | ~600 [avatar split clause 22119,7745,4263,22201] 126.57/124.70 22205. 1331 <=> ($false != rel_s4 @ sK29 @ sK23) [avatar definition] 126.57/124.70 22208. 1330 <=> ($false = rel_s4 @ sK29 @ sK23) [avatar definition] 126.57/124.70 22209. ($false = rel_s4 @ sK29 @ sK23) <- {1330} [avatar component clause 22208] 126.57/124.70 22210. 1330 | 245 | ~600 [avatar split clause 22118,7745,4059,22208] 126.57/124.70 22211. 290 | 0 | ~600 [avatar split clause 22129,7745,315,4266] 126.57/124.70 22213. 1332 <=> ! [X3,X2] : (($false = p @ (sK17 @ X2)) | ($false = rel_s4 @ sK29 @ X3) | ($false = rel_s4 @ X3 @ X2)) [avatar definition] 126.57/124.70 22215. 1332 | 0 | ~600 [avatar split clause 22130,7745,315,22213] 126.57/124.70 22220. 1334 <=> ($false = p @ (sK17 @ (sK17 @ sK29))) [avatar definition] 126.57/124.70 22222. 476 | 1334 | 0 | ~6 | ~600 [avatar split clause 22131,7745,368,315,22220,6945] 126.57/124.70 22223. 290 | 0 | ~600 [avatar split clause 22132,7745,315,4266] 126.57/124.70 22224. 1332 | 0 | ~600 [avatar split clause 22133,7745,315,22213] 126.57/124.70 22225. 1334 | 476 | 0 | ~6 | ~600 [avatar split clause 22179,7745,368,315,6945,22220] 126.57/124.70 22226. 1334 | 252 | ~478 | ~600 [avatar split clause 22181,7745,6951,4084,22220] 126.57/124.70 22236. ($false = $true) | ($false = rel_s4 @ sK12 @ sK18) | ($false = rel_s4 @ sK18 @ sK12) <- {4, 342} [superposition 10805,4524] 126.57/124.70 22237. ($false = $true) | ($false = rel_s4 @ sK12 @ sK19) | ($false = rel_s4 @ sK19 @ sK12) <- {4, 634} [superposition 10805,8136] 126.57/124.70 22238. ($false = $true) | ($false = rel_s4 @ sK12 @ sK22) | ($false = rel_s4 @ sK22 @ sK12) <- {4, 690} [superposition 10805,8962] 126.57/124.70 22239. ($false = $true) | ($false = rel_s4 @ sK12 @ sK23) | ($false = rel_s4 @ sK23 @ sK12) <- {4, 572} [superposition 10805,7449] 126.57/124.70 22246. ($false = $true) | ($false = rel_s4 @ sK12 @ sK19) | ($false = rel_s4 @ sK19 @ sK12) | ($false = p @ (sK17 @ X4)) | ($false = rel_s4 @ sK13 @ X4) <- {4, 254} [superposition 10805,4143] 126.57/124.70 22261. ($false = $true) | ($false = rel_s4 @ sK12 @ sK18) | ($false = rel_s4 @ sK18 @ sK12) <- {4, 342} [superposition 4524,10805] 126.57/124.70 22262. ($false = $true) | ($false = rel_s4 @ sK12 @ sK19) | ($false = rel_s4 @ sK19 @ sK12) <- {4, 634} [superposition 8136,10805] 126.57/124.70 22263. ($false = $true) | ($false = rel_s4 @ sK12 @ sK22) | ($false = rel_s4 @ sK22 @ sK12) <- {4, 690} [superposition 8962,10805] 126.57/124.70 22264. ($false = $true) | ($false = rel_s4 @ sK12 @ sK23) | ($false = rel_s4 @ sK23 @ sK12) <- {4, 572} [superposition 7449,10805] 126.57/124.70 22271. ($false = $true) | ($false = p @ (sK17 @ X3)) | ($false = rel_s4 @ sK13 @ X3) | ($false = rel_s4 @ sK12 @ sK19) | ($false = rel_s4 @ sK19 @ sK12) <- {4, 254} [superposition 4143,10805] 126.57/124.70 22289. 1336 <=> ($false = rel_s4 @ sK18 @ sK12) [avatar definition] 126.57/124.70 22295. 1338 <=> ($false = rel_s4 @ sK12 @ sK18) [avatar definition] 126.57/124.70 22297. 1336 | 1338 | 0 | ~4 | ~342 [avatar split clause 22236,4523,361,315,22295,22289] 126.57/124.70 22302. 1340 <=> ($false = rel_s4 @ sK19 @ sK12) [avatar definition] 126.57/124.70 22308. 1342 <=> ($false = rel_s4 @ sK12 @ sK19) [avatar definition] 126.57/124.70 22310. 1340 | 1342 | 0 | ~4 | ~634 [avatar split clause 22237,8135,361,315,22308,22302] 126.57/124.70 22315. 1344 <=> ($false = rel_s4 @ sK22 @ sK12) [avatar definition] 126.57/124.70 22321. 1346 <=> ($false = rel_s4 @ sK12 @ sK22) [avatar definition] 126.57/124.70 22323. 1344 | 1346 | 0 | ~4 | ~690 [avatar split clause 22238,8961,361,315,22321,22315] 126.57/124.70 22328. 1348 <=> ($false = rel_s4 @ sK23 @ sK12) [avatar definition] 126.57/124.70 22334. 1350 <=> ($false = rel_s4 @ sK12 @ sK23) [avatar definition] 126.57/124.70 22336. 1348 | 1350 | 0 | ~4 | ~572 [avatar split clause 22239,7448,361,315,22334,22328] 126.57/124.70 22337. 130 | 1340 | 1342 | 0 | ~4 | ~254 [avatar split clause 22246,4142,361,315,22308,22302,2291] 126.57/124.70 22338. 1336 | 1338 | 0 | ~4 | ~342 [avatar split clause 22261,4523,361,315,22295,22289] 126.57/124.70 22339. 1340 | 1342 | 0 | ~4 | ~634 [avatar split clause 22262,8135,361,315,22308,22302] 126.57/124.70 22340. 1344 | 1346 | 0 | ~4 | ~690 [avatar split clause 22263,8961,361,315,22321,22315] 126.57/124.70 22341. 1348 | 1350 | 0 | ~4 | ~572 [avatar split clause 22264,7448,361,315,22334,22328] 126.57/124.70 22342. 1340 | 1342 | 130 | 0 | ~4 | ~254 [avatar split clause 22271,4142,361,315,2291,22308,22302] 126.57/124.70 22532. ($false = $true) | ($false = rel_s4 @ sK23 @ X0) | ($false = rel_s4 @ X0 @ sK22) <- {840} [superposition 10442,253] 126.57/124.70 22534. ($false = $true) | ($false = rel_s4 @ sK23 @ X0) | ($false = rel_s4 @ X0 @ sK22) <- {840} [superposition 253,10442] 126.57/124.70 22536. 1352 <=> ! [X0] : (($false = rel_s4 @ sK23 @ X0) | ($false = rel_s4 @ X0 @ sK22)) [avatar definition] 126.57/124.70 22538. 1352 | 0 | ~840 [avatar split clause 22532,10441,315,22536] 126.57/124.70 22539. 1352 | 0 | ~840 [avatar split clause 22534,10441,315,22536] 126.57/124.70 22673. ($false = $true) | ($false != rel_s4 @ sK28 @ sK22) | ($false = rel_s4 @ sK28 @ sK19) <- {270, 727} [superposition 10868,4196] 126.57/124.70 22674. ($false = $true) | ($false != rel_s4 @ sK28 @ sK22) | ($false = rel_s4 @ sK28 @ sK19) | ($false = rel_s4 @ sK19 @ sK19) | ($false = rel_s4 @ sK19 @ sK19) <- {270, 727} [superposition 10868,10863] 126.57/124.70 22675. ($false = $true) | ($false != rel_s4 @ sK30 @ sK22) | ($false = rel_s4 @ sK30 @ sK19) <- {300, 727} [superposition 10868,4301] 126.57/124.70 22676. ($false = $true) | ($false != rel_s4 @ sK30 @ sK22) | ($false = rel_s4 @ sK30 @ sK19) | ($false = rel_s4 @ sK19 @ sK19) | ($false = rel_s4 @ sK19 @ sK19) <- {300, 727} [superposition 10868,10864] 126.57/124.70 22677. ($false = $true) | ($false != rel_s4 @ sK33 @ sK22) | ($false = rel_s4 @ sK33 @ sK19) <- {544, 727} [superposition 10868,7282] 126.57/124.70 22736. ($false = $true) | ($false != rel_s4 @ sK28 @ sK22) | ($false = rel_s4 @ sK28 @ sK19) <- {270, 727} [superposition 4196,10868] 126.57/124.70 22737. ($false = vOR_37 @ (vNOT_33 @ $false) @ (big_q @ sK20 @ sK28)) | ($false != rel_s4 @ sK28 @ sK22) | ($false = rel_s4 @ sK28 @ sK19) <- {102, 727} [superposition 2159,10868] 126.57/124.70 22738. ($false = $true) | ($false = rel_s4 @ sK19 @ sK19) | ($false = rel_s4 @ sK19 @ sK19) | ($false != rel_s4 @ sK28 @ sK22) | ($false = rel_s4 @ sK28 @ sK19) <- {270, 727} [superposition 10863,10868] 126.57/124.70 22739. ($false = $true) | ($false != rel_s4 @ sK30 @ sK22) | ($false = rel_s4 @ sK30 @ sK19) <- {300, 727} [superposition 4301,10868] 126.57/124.70 22740. ($false = vOR_37 @ (vNOT_33 @ $false) @ (big_q @ sK24 @ sK30)) | ($false != rel_s4 @ sK30 @ sK22) | ($false = rel_s4 @ sK30 @ sK19) <- {108, 727} [superposition 2193,10868] 126.57/124.70 22741. ($false = $true) | ($false = rel_s4 @ sK19 @ sK19) | ($false = rel_s4 @ sK19 @ sK19) | ($false != rel_s4 @ sK30 @ sK22) | ($false = rel_s4 @ sK30 @ sK19) <- {300, 727} [superposition 10864,10868] 126.57/124.70 22742. ($false = $true) | ($false != rel_s4 @ sK33 @ sK22) | ($false = rel_s4 @ sK33 @ sK19) <- {544, 727} [superposition 7282,10868] 126.57/124.70 22743. ($false = vOR_37 @ (vNOT_33 @ $false) @ (big_q @ sK24 @ sK33)) | ($false != rel_s4 @ sK33 @ sK22) | ($false = rel_s4 @ sK33 @ sK19) <- {328, 727} [superposition 4396,10868] 126.57/124.70 22746. ($false = $true) | ($false = rel_s4 @ sK19 @ sK19) | ($false != rel_s4 @ sK30 @ sK22) | ($false = rel_s4 @ sK30 @ sK19) <- {300, 727} [duplicate literal removal 22741] 126.57/124.70 22747. ($false = $true) | ($false = rel_s4 @ sK19 @ sK19) | ($false != rel_s4 @ sK28 @ sK22) | ($false = rel_s4 @ sK28 @ sK19) <- {270, 727} [duplicate literal removal 22738] 126.57/124.70 22759. ($false = $true) | ($false != rel_s4 @ sK30 @ sK22) | ($false = rel_s4 @ sK30 @ sK19) | ($false = rel_s4 @ sK19 @ sK19) <- {300, 727} [duplicate literal removal 22676] 126.57/124.70 22760. ($false = $true) | ($false != rel_s4 @ sK28 @ sK22) | ($false = rel_s4 @ sK28 @ sK19) | ($false = rel_s4 @ sK19 @ sK19) <- {270, 727} [duplicate literal removal 22674] 126.57/124.70 22766. 1354 <=> ($false = rel_s4 @ sK28 @ sK19) [avatar definition] 126.57/124.70 22772. 1357 <=> ($false != rel_s4 @ sK28 @ sK22) [avatar definition] 126.57/124.70 22774. 1354 | ~1357 | 0 | ~270 | 727 [avatar split clause 22673,9309,4195,315,22772,22766] 126.57/124.70 22775. ($false = $true) | ($false = $true) | ($false != rel_s4 @ sK28 @ sK22) | ($false = rel_s4 @ sK28 @ sK19) <- {270, 727} [forward demodulation 22760,258] 126.57/124.70 22776. ($false = $true) | ($false != rel_s4 @ sK28 @ sK22) | ($false = rel_s4 @ sK28 @ sK19) <- {270, 727} [duplicate literal removal 22775] 126.57/124.70 22777. 1354 | ~1357 | 0 | ~270 | 727 [avatar split clause 22776,9309,4195,315,22772,22766] 126.57/124.70 22782. 1358 <=> ($false = rel_s4 @ sK30 @ sK19) [avatar definition] 126.57/124.70 22785. 1360 <=> ($false = rel_s4 @ sK30 @ sK22) [avatar definition] 126.57/124.70 22786. ($false = rel_s4 @ sK30 @ sK22) <- {1360} [avatar component clause 22785] 126.57/124.70 22788. 1361 <=> ($false != rel_s4 @ sK30 @ sK22) [avatar definition] 126.57/124.70 22790. 1358 | ~1361 | 0 | ~300 | 727 [avatar split clause 22675,9309,4300,315,22788,22782] 126.57/124.70 22791. ($false = $true) | ($false = $true) | ($false != rel_s4 @ sK30 @ sK22) | ($false = rel_s4 @ sK30 @ sK19) <- {300, 727} [forward demodulation 22759,258] 126.57/124.70 22792. ($false = $true) | ($false != rel_s4 @ sK30 @ sK22) | ($false = rel_s4 @ sK30 @ sK19) <- {300, 727} [duplicate literal removal 22791] 126.57/124.70 22793. 1358 | ~1361 | 0 | ~300 | 727 [avatar split clause 22792,9309,4300,315,22788,22782] 126.57/124.70 22798. 1362 <=> ($false = rel_s4 @ sK33 @ sK19) [avatar definition] 126.57/124.70 22801. 1364 <=> ($false = rel_s4 @ sK33 @ sK22) [avatar definition] 126.57/124.70 22802. ($false = rel_s4 @ sK33 @ sK22) <- {1364} [avatar component clause 22801] 126.57/124.70 22804. 1365 <=> ($false != rel_s4 @ sK33 @ sK22) [avatar definition] 126.57/124.70 22806. 1362 | ~1365 | 0 | ~544 | 727 [avatar split clause 22677,9309,7281,315,22804,22798] 126.57/124.70 22807. 1354 | ~1357 | 0 | ~270 | 727 [avatar split clause 22736,9309,4195,315,22772,22766] 126.57/124.70 22808. ($false = vOR_37 @ (vNOT_33 @ $false) @ $false) | ($false != rel_s4 @ sK28 @ sK22) | ($false = rel_s4 @ sK28 @ sK19) <- {102, 272, 727} [forward demodulation 22737,4203] 126.57/124.70 22809. 1354 | ~1357 | 252 | ~102 | ~272 | 727 [avatar split clause 22808,9309,4202,2158,4084,22772,22766] 126.57/124.70 22810. ($false = $true) | ($false = $true) | ($false != rel_s4 @ sK28 @ sK22) | ($false = rel_s4 @ sK28 @ sK19) <- {270, 727} [forward demodulation 22747,258] 126.57/124.70 22811. ($false = $true) | ($false != rel_s4 @ sK28 @ sK22) | ($false = rel_s4 @ sK28 @ sK19) <- {270, 727} [duplicate literal removal 22810] 126.57/124.70 22812. 1354 | ~1357 | 0 | ~270 | 727 [avatar split clause 22811,9309,4195,315,22772,22766] 126.57/124.70 22813. 1358 | ~1361 | 0 | ~300 | 727 [avatar split clause 22739,9309,4300,315,22788,22782] 126.57/124.70 22814. ($false = vOR_37 @ (vNOT_33 @ $false) @ $false) | ($false != rel_s4 @ sK30 @ sK22) | ($false = rel_s4 @ sK30 @ sK19) <- {108, 302, 727} [forward demodulation 22740,4308] 126.57/124.70 22815. 1358 | ~1361 | 252 | ~108 | ~302 | 727 [avatar split clause 22814,9309,4307,2192,4084,22788,22782] 126.57/124.70 22816. ($false = $true) | ($false = $true) | ($false != rel_s4 @ sK30 @ sK22) | ($false = rel_s4 @ sK30 @ sK19) <- {300, 727} [forward demodulation 22746,258] 126.57/124.70 22817. ($false = $true) | ($false != rel_s4 @ sK30 @ sK22) | ($false = rel_s4 @ sK30 @ sK19) <- {300, 727} [duplicate literal removal 22816] 126.57/124.70 22818. 1358 | ~1361 | 0 | ~300 | 727 [avatar split clause 22817,9309,4300,315,22788,22782] 126.57/124.70 22819. 1362 | ~1365 | 0 | ~544 | 727 [avatar split clause 22742,9309,7281,315,22804,22798] 126.57/124.70 22820. ($false = vOR_37 @ (vNOT_33 @ $false) @ $false) | ($false != rel_s4 @ sK33 @ sK22) | ($false = rel_s4 @ sK33 @ sK19) <- {328, 546, 727} [forward demodulation 22743,7289] 126.57/124.70 22821. 1362 | ~1365 | 252 | ~328 | ~546 | 727 [avatar split clause 22820,9309,7288,4395,4084,22804,22798] 126.57/124.70 22846. ($false = $true) | ($false = rel_s4 @ sK28 @ sK18) | ($false = rel_s4 @ sK18 @ sK28) | ($false = p @ (sK17 @ sK23)) <- {92, 616} [superposition 11096,7856] 126.57/124.70 22849. ($false = $true) | ($false = rel_s4 @ sK30 @ sK18) | ($false = rel_s4 @ sK18 @ sK30) | ($false = p @ (sK17 @ sK23)) <- {92, 618} [superposition 11096,7860] 126.57/124.70 22851. ($false = $true) | ($false = rel_s4 @ sK33 @ sK18) | ($false = rel_s4 @ sK18 @ sK33) | ($false = p @ (sK17 @ sK23)) <- {92, 620} [superposition 11096,7881] 126.57/124.70 22872. ($false = $true) | ($false = p @ (sK17 @ sK23)) | ($false = rel_s4 @ sK28 @ sK18) | ($false = rel_s4 @ sK18 @ sK28) <- {92, 616} [superposition 7856,11096] 126.57/124.70 22875. ($false = $true) | ($false = p @ (sK17 @ sK23)) | ($false = rel_s4 @ sK30 @ sK18) | ($false = rel_s4 @ sK18 @ sK30) <- {92, 618} [superposition 7860,11096] 126.57/124.70 22877. ($false = $true) | ($false = p @ (sK17 @ sK23)) | ($false = rel_s4 @ sK33 @ sK18) | ($false = rel_s4 @ sK18 @ sK33) <- {92, 620} [superposition 7881,11096] 126.57/124.70 22885. ($false = $true) | ($false = $true) | ($false = rel_s4 @ sK28 @ sK18) | ($false = rel_s4 @ sK18 @ sK28) <- {92, 616, 1158} [forward demodulation 22846,20495] 126.57/124.70 22886. ($false = $true) | ($false = rel_s4 @ sK28 @ sK18) | ($false = rel_s4 @ sK18 @ sK28) <- {92, 616, 1158} [duplicate literal removal 22885] 126.57/124.70 22891. 1366 <=> ($false = rel_s4 @ sK18 @ sK28) [avatar definition] 126.57/124.70 22897. 1368 <=> ($false = rel_s4 @ sK28 @ sK18) [avatar definition] 126.57/124.70 22899. 1366 | 1368 | 0 | ~92 | ~616 | ~1158 [avatar split clause 22886,20494,7855,2124,315,22897,22891] 126.57/124.70 22900. ($false = $true) | ($false = $true) | ($false = rel_s4 @ sK30 @ sK18) | ($false = rel_s4 @ sK18 @ sK30) <- {92, 618, 1158} [forward demodulation 22849,20495] 126.57/124.70 22901. ($false = $true) | ($false = rel_s4 @ sK30 @ sK18) | ($false = rel_s4 @ sK18 @ sK30) <- {92, 618, 1158} [duplicate literal removal 22900] 126.57/124.70 22906. 1370 <=> ($false = rel_s4 @ sK18 @ sK30) [avatar definition] 126.57/124.70 22912. 1372 <=> ($false = rel_s4 @ sK30 @ sK18) [avatar definition] 126.57/124.70 22914. 1370 | 1372 | 0 | ~92 | ~618 | ~1158 [avatar split clause 22901,20494,7859,2124,315,22912,22906] 126.57/124.70 22915. ($false = $true) | ($false = $true) | ($false = rel_s4 @ sK33 @ sK18) | ($false = rel_s4 @ sK18 @ sK33) <- {92, 620, 1158} [forward demodulation 22851,20495] 126.57/124.70 22916. ($false = $true) | ($false = rel_s4 @ sK33 @ sK18) | ($false = rel_s4 @ sK18 @ sK33) <- {92, 620, 1158} [duplicate literal removal 22915] 126.57/124.70 22921. 1374 <=> ($false = rel_s4 @ sK18 @ sK33) [avatar definition] 126.57/124.70 22927. 1376 <=> ($false = rel_s4 @ sK33 @ sK18) [avatar definition] 126.57/124.70 22929. 1374 | 1376 | 0 | ~92 | ~620 | ~1158 [avatar split clause 22916,20494,7880,2124,315,22927,22921] 126.57/124.70 22930. ($false = $true) | ($false = $true) | ($false = rel_s4 @ sK28 @ sK18) | ($false = rel_s4 @ sK18 @ sK28) <- {92, 616, 1158} [forward demodulation 22872,20495] 126.57/124.70 22931. ($false = $true) | ($false = rel_s4 @ sK28 @ sK18) | ($false = rel_s4 @ sK18 @ sK28) <- {92, 616, 1158} [duplicate literal removal 22930] 126.57/124.70 22932. 1366 | 1368 | 0 | ~92 | ~616 | ~1158 [avatar split clause 22931,20494,7855,2124,315,22897,22891] 126.57/124.70 22933. ($false = $true) | ($false = $true) | ($false = rel_s4 @ sK30 @ sK18) | ($false = rel_s4 @ sK18 @ sK30) <- {92, 618, 1158} [forward demodulation 22875,20495] 126.57/124.70 22934. ($false = $true) | ($false = rel_s4 @ sK30 @ sK18) | ($false = rel_s4 @ sK18 @ sK30) <- {92, 618, 1158} [duplicate literal removal 22933] 126.57/124.70 22935. 1370 | 1372 | 0 | ~92 | ~618 | ~1158 [avatar split clause 22934,20494,7859,2124,315,22912,22906] 126.57/124.70 22936. ($false = $true) | ($false = $true) | ($false = rel_s4 @ sK33 @ sK18) | ($false = rel_s4 @ sK18 @ sK33) <- {92, 620, 1158} [forward demodulation 22877,20495] 126.57/124.70 22937. ($false = $true) | ($false = rel_s4 @ sK33 @ sK18) | ($false = rel_s4 @ sK18 @ sK33) <- {92, 620, 1158} [duplicate literal removal 22936] 126.57/124.70 22938. 1374 | 1376 | 0 | ~92 | ~620 | ~1158 [avatar split clause 22937,20494,7880,2124,315,22927,22921] 126.57/124.70 23071. ($false = $true) | ($false = rel_s4 @ sK29 @ sK18) | ($false != rel_s4 @ sK29 @ sK23) <- {286, 335} [superposition 11104,4253] 126.57/124.70 23072. ($false = $true) | ($false = rel_s4 @ sK29 @ sK18) | ($false != rel_s4 @ sK29 @ sK23) | ($false = rel_s4 @ sK18 @ sK18) | ($false = rel_s4 @ sK18 @ sK18) <- {286, 335} [superposition 11104,11101] 126.57/124.70 23074. ($false = $true) | ($false = rel_s4 @ sK31 @ sK18) | ($false != rel_s4 @ sK31 @ sK23) <- {314, 335} [superposition 11104,4349] 126.57/124.70 23075. ($false = $true) | ($false = rel_s4 @ sK31 @ sK18) | ($false != rel_s4 @ sK31 @ sK23) | ($false = rel_s4 @ sK18 @ sK18) | ($false = rel_s4 @ sK18 @ sK18) <- {314, 335} [superposition 11104,11102] 126.57/124.70 23076. ($false = $true) | ($false = rel_s4 @ sK34 @ sK18) | ($false != rel_s4 @ sK34 @ sK23) <- {335, 558} [superposition 11104,7332] 126.57/124.70 23136. ($false = $true) | ($false = rel_s4 @ sK29 @ sK18) | ($false != rel_s4 @ sK29 @ sK23) <- {286, 335} [superposition 4253,11104] 126.57/124.70 23137. ($false = vOR_37 @ (vNOT_33 @ $false) @ (big_r @ sK21 @ sK29)) | ($false = rel_s4 @ sK29 @ sK18) | ($false != rel_s4 @ sK29 @ sK23) <- {104, 335} [superposition 2172,11104] 126.57/124.70 23138. ($false = $true) | ($false = rel_s4 @ sK18 @ sK18) | ($false = rel_s4 @ sK18 @ sK18) | ($false = rel_s4 @ sK29 @ sK18) | ($false != rel_s4 @ sK29 @ sK23) <- {286, 335} [superposition 11101,11104] 126.57/124.70 23140. ($false = $true) | ($false = rel_s4 @ sK31 @ sK18) | ($false != rel_s4 @ sK31 @ sK23) <- {314, 335} [superposition 4349,11104] 126.57/124.70 23141. ($false = vOR_37 @ (vNOT_33 @ $false) @ (big_r @ sK25 @ sK31)) | ($false = rel_s4 @ sK31 @ sK18) | ($false != rel_s4 @ sK31 @ sK23) <- {116, 335} [superposition 2224,11104] 126.57/124.70 23142. ($false = $true) | ($false = rel_s4 @ sK18 @ sK18) | ($false = rel_s4 @ sK18 @ sK18) | ($false = rel_s4 @ sK31 @ sK18) | ($false != rel_s4 @ sK31 @ sK23) <- {314, 335} [superposition 11102,11104] 126.57/124.70 23143. ($false = $true) | ($false = rel_s4 @ sK34 @ sK18) | ($false != rel_s4 @ sK34 @ sK23) <- {335, 558} [superposition 7332,11104] 126.57/124.70 23144. ($false = vOR_37 @ (vNOT_33 @ $false) @ (big_r @ sK25 @ sK34)) | ($false = rel_s4 @ sK34 @ sK18) | ($false != rel_s4 @ sK34 @ sK23) <- {330, 335} [superposition 4409,11104] 126.57/124.70 23147. ($false = $true) | ($false = rel_s4 @ sK18 @ sK18) | ($false = rel_s4 @ sK31 @ sK18) | ($false != rel_s4 @ sK31 @ sK23) <- {314, 335} [duplicate literal removal 23142] 126.57/124.70 23148. ($false = $true) | ($false = rel_s4 @ sK18 @ sK18) | ($false = rel_s4 @ sK29 @ sK18) | ($false != rel_s4 @ sK29 @ sK23) <- {286, 335} [duplicate literal removal 23138] 126.57/124.70 23159. ($false = $true) | ($false = rel_s4 @ sK31 @ sK18) | ($false != rel_s4 @ sK31 @ sK23) | ($false = rel_s4 @ sK18 @ sK18) <- {314, 335} [duplicate literal removal 23075] 126.57/124.70 23160. ($false = $true) | ($false = rel_s4 @ sK29 @ sK18) | ($false != rel_s4 @ sK29 @ sK23) | ($false = rel_s4 @ sK18 @ sK18) <- {286, 335} [duplicate literal removal 23072] 126.57/124.70 23166. 1378 <=> ($false = rel_s4 @ sK29 @ sK18) [avatar definition] 126.57/124.70 23168. ~1331 | 1378 | 0 | ~286 | 335 [avatar split clause 23071,4443,4252,315,23166,22205] 126.57/124.70 23169. ($false = $true) | ($false = $true) | ($false = rel_s4 @ sK29 @ sK18) | ($false != rel_s4 @ sK29 @ sK23) <- {286, 335} [forward demodulation 23160,258] 126.57/124.70 23170. ($false = $true) | ($false = rel_s4 @ sK29 @ sK18) | ($false != rel_s4 @ sK29 @ sK23) <- {286, 335} [duplicate literal removal 23169] 126.57/124.70 23171. ~1331 | 1378 | 0 | ~286 | 335 [avatar split clause 23170,4443,4252,315,23166,22205] 126.57/124.70 23176. 1380 <=> ($false = rel_s4 @ sK31 @ sK18) [avatar definition] 126.57/124.70 23178. ~1219 | 1380 | 0 | ~314 | 335 [avatar split clause 23074,4443,4348,315,23176,20830] 126.57/124.70 23179. ($false = $true) | ($false = $true) | ($false = rel_s4 @ sK31 @ sK18) | ($false != rel_s4 @ sK31 @ sK23) <- {314, 335} [forward demodulation 23159,258] 126.57/124.70 23180. ($false = $true) | ($false = rel_s4 @ sK31 @ sK18) | ($false != rel_s4 @ sK31 @ sK23) <- {314, 335} [duplicate literal removal 23179] 126.57/124.70 23181. ~1219 | 1380 | 0 | ~314 | 335 [avatar split clause 23180,4443,4348,315,23176,20830] 126.57/124.70 23186. 1382 <=> ($false = rel_s4 @ sK34 @ sK18) [avatar definition] 126.57/124.70 23188. ~1275 | 1382 | 0 | 335 | ~558 [avatar split clause 23076,7331,4443,315,23186,21761] 126.57/124.70 23189. ~1331 | 1378 | 0 | ~286 | 335 [avatar split clause 23136,4443,4252,315,23166,22205] 126.57/124.70 23190. ($false = vOR_37 @ (vNOT_33 @ $false) @ $false) | ($false = rel_s4 @ sK29 @ sK18) | ($false != rel_s4 @ sK29 @ sK23) <- {104, 288, 335} [forward demodulation 23137,4260] 126.57/124.70 23191. ($false != $false) | ($false = vOR_37 @ (vNOT_33 @ $false) @ $false) | ($false = rel_s4 @ sK29 @ sK18) <- {104, 288, 335, 1330} [forward demodulation 23190,22209] 126.57/124.70 23192. ($false = vOR_37 @ (vNOT_33 @ $false) @ $false) | ($false = rel_s4 @ sK29 @ sK18) <- {104, 288, 335, 1330} [trivial inequality removal 23191] 126.57/124.70 23193. 1378 | 252 | ~104 | ~288 | 335 | ~1330 [avatar split clause 23192,22208,4443,4259,2171,4084,23166] 126.57/124.70 23194. ($false = $true) | ($false = $true) | ($false = rel_s4 @ sK29 @ sK18) | ($false != rel_s4 @ sK29 @ sK23) <- {286, 335} [forward demodulation 23148,258] 126.57/124.70 23195. ($false = $true) | ($false = rel_s4 @ sK29 @ sK18) | ($false != rel_s4 @ sK29 @ sK23) <- {286, 335} [duplicate literal removal 23194] 126.57/124.70 23196. ~1331 | 1378 | 0 | ~286 | 335 [avatar split clause 23195,4443,4252,315,23166,22205] 126.57/124.70 23197. ~1219 | 1380 | 0 | ~314 | 335 [avatar split clause 23140,4443,4348,315,23176,20830] 126.57/124.70 23198. ($false = vOR_37 @ (vNOT_33 @ $false) @ $false) | ($false = rel_s4 @ sK31 @ sK18) | ($false != rel_s4 @ sK31 @ sK23) <- {116, 316, 335} [forward demodulation 23141,4356] 126.57/124.70 23199. ($false != $false) | ($false = vOR_37 @ (vNOT_33 @ $false) @ $false) | ($false = rel_s4 @ sK31 @ sK18) <- {116, 316, 335, 1218} [forward demodulation 23198,20834] 126.57/124.70 23200. ($false = vOR_37 @ (vNOT_33 @ $false) @ $false) | ($false = rel_s4 @ sK31 @ sK18) <- {116, 316, 335, 1218} [trivial inequality removal 23199] 126.57/124.70 23201. 1380 | 252 | ~116 | ~316 | 335 | ~1218 [avatar split clause 23200,20833,4443,4355,2223,4084,23176] 126.57/124.70 23202. ($false = $true) | ($false = $true) | ($false = rel_s4 @ sK31 @ sK18) | ($false != rel_s4 @ sK31 @ sK23) <- {314, 335} [forward demodulation 23147,258] 126.57/124.70 23203. ($false = $true) | ($false = rel_s4 @ sK31 @ sK18) | ($false != rel_s4 @ sK31 @ sK23) <- {314, 335} [duplicate literal removal 23202] 126.57/124.70 23204. ~1219 | 1380 | 0 | ~314 | 335 [avatar split clause 23203,4443,4348,315,23176,20830] 126.57/124.70 23205. ~1275 | 1382 | 0 | 335 | ~558 [avatar split clause 23143,7331,4443,315,23186,21761] 126.57/124.70 23206. ($false = vOR_37 @ (vNOT_33 @ $false) @ $false) | ($false = rel_s4 @ sK34 @ sK18) | ($false != rel_s4 @ sK34 @ sK23) <- {330, 335, 560} [forward demodulation 23144,7339] 126.57/124.70 23207. ($false != $false) | ($false = vOR_37 @ (vNOT_33 @ $false) @ $false) | ($false = rel_s4 @ sK34 @ sK18) <- {330, 335, 560, 1274} [forward demodulation 23206,21765] 126.57/124.70 23208. ($false = vOR_37 @ (vNOT_33 @ $false) @ $false) | ($false = rel_s4 @ sK34 @ sK18) <- {330, 335, 560, 1274} [trivial inequality removal 23207] 126.57/124.70 23209. 1382 | 252 | ~330 | 335 | ~560 | ~1274 [avatar split clause 23208,21764,7338,4443,4408,4084,23186] 126.57/124.70 23210. ~1331 | 1378 | 252 | ~104 | ~288 | 335 [avatar split clause 23190,4443,4259,2171,4084,23166,22205] 126.57/124.70 23223. ($false = $true) | ($true = p @ X7) | ($false = rel_s4 @ X6 @ X8) | ($false = rel_s4 @ X8 @ X7) | ($false = rel_s4 @ sK18 @ X9) | ($false = rel_s4 @ X9 @ X6) <- {574} [superposition 7453,253] 126.57/124.70 23239. ($false = $true) | ($false = rel_s4 @ sK18 @ X6) | ($false = rel_s4 @ X6 @ X5) | ($true = p @ X7) | ($false = rel_s4 @ X5 @ X8) | ($false = rel_s4 @ X8 @ X7) <- {574} [superposition 253,7453] 126.57/124.70 23326. 1384 <=> ! [X9,X7,X8,X6] : (($true = p @ X7) | ($false = rel_s4 @ sK18 @ X9) | ($false = rel_s4 @ X9 @ X6) | ($false = rel_s4 @ X6 @ X8) | ($false = rel_s4 @ X8 @ X7)) [avatar definition] 126.57/124.70 23328. 1384 | 0 | ~574 [avatar split clause 23223,7452,315,23326] 126.57/124.70 23329. 1384 | 0 | ~574 [avatar split clause 23239,7452,315,23326] 126.57/124.70 23330. ($false = $true) | ($true != rel_s4 @ X0 @ sK18) | ($true != exists_in_world @ sK20 @ X0) <- {844} [superposition 10465,206] 126.57/124.70 23331. ($false = $true) | ($true != rel_s4 @ X0 @ sK18) | ($true != exists_in_world @ sK20 @ X0) <- {844} [superposition 206,10465] 126.57/124.70 23332. 1162 | 0 | ~844 [avatar split clause 23330,10464,315,20508] 126.57/124.70 23333. 1162 | 0 | ~844 [avatar split clause 23331,10464,315,20508] 126.57/124.70 23360. ($false = $true) | ($true = p @ X6) | ($false = rel_s4 @ X5 @ X7) | ($false = rel_s4 @ X7 @ X6) | ($false = rel_s4 @ sK13 @ X8) | ($false = rel_s4 @ X8 @ X5) <- {786} [superposition 9926,253] 126.57/124.70 23375. ($false = $true) | ($false = rel_s4 @ sK13 @ X5) | ($false = rel_s4 @ X5 @ X4) | ($true = p @ X6) | ($false = rel_s4 @ X4 @ X7) | ($false = rel_s4 @ X7 @ X6) <- {786} [superposition 253,9926] 126.57/124.70 23460. 1386 <=> ! [X5,X7,X8,X6] : (($true = p @ X6) | ($false = rel_s4 @ sK13 @ X8) | ($false = rel_s4 @ X8 @ X5) | ($false = rel_s4 @ X5 @ X7) | ($false = rel_s4 @ X7 @ X6)) [avatar definition] 126.57/124.70 23462. 1386 | 0 | ~786 [avatar split clause 23360,9925,315,23460] 126.57/124.70 23463. 1386 | 0 | ~786 [avatar split clause 23375,9925,315,23460] 126.57/124.70 23483. ($false = $true) | ($true = p @ X9) | ($false = rel_s4 @ X8 @ X10) | ($false = rel_s4 @ X10 @ X9) | ($false = rel_s4 @ sK19 @ X11) | ($false = rel_s4 @ X11 @ X8) <- {1222} [superposition 20955,253] 126.57/124.70 23497. ($false = $true) | ($true = p @ X240) | ($false = rel_s4 @ sK33 @ X241) | ($false = rel_s4 @ X241 @ X240) <- {544, 1222} [superposition 20955,7282] 126.57/124.70 23499. ($false = $true) | ($false = rel_s4 @ sK19 @ X8) | ($false = rel_s4 @ X8 @ X7) | ($true = p @ X9) | ($false = rel_s4 @ X7 @ X10) | ($false = rel_s4 @ X10 @ X9) <- {1222} [superposition 253,20955] 126.57/124.70 23565. ($false = $true) | ($true = p @ X491) | ($false = rel_s4 @ sK33 @ X492) | ($false = rel_s4 @ X492 @ X491) <- {544, 1222} [superposition 7282,20955] 126.57/124.70 23566. ($false = vOR_37 @ (vNOT_33 @ $false) @ (big_q @ sK24 @ sK33)) | ($true = p @ X493) | ($false = rel_s4 @ sK33 @ X494) | ($false = rel_s4 @ X494 @ X493) <- {328, 1222} [superposition 4396,20955] 126.57/124.70 23588. 1388 <=> ! [X9,X11,X8,X10] : (($true = p @ X9) | ($false = rel_s4 @ sK19 @ X11) | ($false = rel_s4 @ X11 @ X8) | ($false = rel_s4 @ X8 @ X10) | ($false = rel_s4 @ X10 @ X9)) [avatar definition] 126.57/124.70 23590. 1388 | 0 | ~1222 [avatar split clause 23483,20954,315,23588] 126.57/124.70 23592. 1390 <=> ! [X240,X241] : (($true = p @ X240) | ($false = rel_s4 @ sK33 @ X241) | ($false = rel_s4 @ X241 @ X240)) [avatar definition] 126.57/124.70 23594. 1390 | 0 | ~544 | ~1222 [avatar split clause 23497,20954,7281,315,23592] 126.57/124.70 23595. 1388 | 0 | ~1222 [avatar split clause 23499,20954,315,23588] 126.57/124.70 23596. 1390 | 0 | ~544 | ~1222 [avatar split clause 23565,20954,7281,315,23592] 126.57/124.70 23597. ($false = vOR_37 @ (vNOT_33 @ $false) @ $false) | ($true = p @ X493) | ($false = rel_s4 @ sK33 @ X494) | ($false = rel_s4 @ X494 @ X493) <- {328, 546, 1222} [forward demodulation 23566,7289] 126.57/124.70 23598. 1390 | 252 | ~328 | ~546 | ~1222 [avatar split clause 23597,20954,7288,4395,4084,23592] 126.57/124.70 23889. ($true = big_q @ sK20 @ sK23) <- {6, 245, 335, 701, 845} [unit resulting resolution 4444,4060,4444,9066,10462,1387] 126.57/124.70 23895. 1392 <=> ($true = big_q @ sK20 @ sK23) [avatar definition] 126.57/124.70 23897. 1392 | ~6 | 245 | 335 | 701 | 845 [avatar split clause 23889,10461,9065,4443,4059,368,23895] 126.57/124.70 24066. ($false = $true) | ($false = p @ (sK17 @ X10)) | ($false = rel_s4 @ X9 @ X11) | ($false = rel_s4 @ X11 @ X10) | ($false = rel_s4 @ sK19 @ X12) | ($false = rel_s4 @ X12 @ X9) <- {610} [superposition 7843,253] 126.57/124.70 24082. ($false = $true) | ($false = rel_s4 @ sK19 @ X9) | ($false = rel_s4 @ X9 @ X8) | ($false = p @ (sK17 @ X10)) | ($false = rel_s4 @ X8 @ X11) | ($false = rel_s4 @ X11 @ X10) <- {610} [superposition 253,7843] 126.57/124.70 24184. 1394 <=> ! [X9,X11,X10,X12] : (($false = p @ (sK17 @ X10)) | ($false = rel_s4 @ sK19 @ X12) | ($false = rel_s4 @ X12 @ X9) | ($false = rel_s4 @ X9 @ X11) | ($false = rel_s4 @ X11 @ X10)) [avatar definition] 126.57/124.70 24186. 1394 | 0 | ~610 [avatar split clause 24066,7842,315,24184] 126.57/124.70 24187. 1394 | 0 | ~610 [avatar split clause 24082,7842,315,24184] 126.57/124.70 24188. ($false = $true) | ($false = rel_s4 @ X1 @ sK13) | ($false = rel_s4 @ sK13 @ X1) | ($false = rel_s4 @ X1 @ sK28) | ($true != rel_s4 @ X2 @ X1) | ($true != exists_in_world @ sK20 @ X2) <- {810} [superposition 10156,206] 126.57/124.70 24191. ($false = $true) | ($false = rel_s4 @ sK28 @ sK13) | ($false = rel_s4 @ sK13 @ sK28) | ($false = rel_s4 @ sK28 @ sK28) <- {456, 810} [superposition 10156,6854] 126.57/124.70 24192. ($false = $true) | ($false = rel_s4 @ sK30 @ sK13) | ($false = rel_s4 @ sK13 @ sK30) | ($false = rel_s4 @ sK30 @ sK28) <- {490, 810} [superposition 10156,7001] 126.57/124.70 24193. ($false = $true) | ($true != rel_s4 @ X1 @ X0) | ($true != exists_in_world @ sK20 @ X1) | ($false = rel_s4 @ X0 @ sK13) | ($false = rel_s4 @ sK13 @ X0) | ($false = rel_s4 @ X0 @ sK28) <- {810} [superposition 206,10156] 126.57/124.70 24213. ($false = $true) | ($false = rel_s4 @ sK28 @ sK13) | ($false = rel_s4 @ sK13 @ sK28) | ($false = rel_s4 @ sK28 @ sK28) <- {456, 810} [superposition 6854,10156] 126.57/124.70 24214. ($false = $true) | ($false = rel_s4 @ sK30 @ sK13) | ($false = rel_s4 @ sK13 @ sK30) | ($false = rel_s4 @ sK30 @ sK28) <- {490, 810} [superposition 7001,10156] 126.57/124.70 24226. 1396 <=> ! [X1,X2] : (($false = rel_s4 @ X1 @ sK13) | ($true != exists_in_world @ sK20 @ X2) | ($true != rel_s4 @ X2 @ X1) | ($false = rel_s4 @ X1 @ sK28) | ($false = rel_s4 @ sK13 @ X1)) [avatar definition] 126.57/124.70 24228. 1396 | 0 | ~810 [avatar split clause 24188,10155,315,24226] 126.57/124.70 24233. 1398 <=> ($false = rel_s4 @ sK28 @ sK28) [avatar definition] 126.57/124.70 24239. 1400 <=> ($false = rel_s4 @ sK13 @ sK28) [avatar definition] 126.57/124.70 24245. 1402 <=> ($false = rel_s4 @ sK28 @ sK13) [avatar definition] 126.57/124.70 24247. 1398 | 1400 | 1402 | 0 | ~456 | ~810 [avatar split clause 24191,10155,6853,315,24245,24239,24233] 126.57/124.70 24252. 1404 <=> ($false = rel_s4 @ sK30 @ sK28) [avatar definition] 126.57/124.70 24258. 1406 <=> ($false = rel_s4 @ sK13 @ sK30) [avatar definition] 126.57/124.70 24264. 1408 <=> ($false = rel_s4 @ sK30 @ sK13) [avatar definition] 126.57/124.70 24266. 1404 | 1406 | 1408 | 0 | ~490 | ~810 [avatar split clause 24192,10155,7000,315,24264,24258,24252] 126.57/124.70 24267. 1396 | 0 | ~810 [avatar split clause 24193,10155,315,24226] 126.57/124.70 24268. 1398 | 1400 | 1402 | 0 | ~456 | ~810 [avatar split clause 24213,10155,6853,315,24245,24239,24233] 126.57/124.70 24269. 1404 | 1406 | 1408 | 0 | ~490 | ~810 [avatar split clause 24214,10155,7000,315,24264,24258,24252] 126.57/124.70 24270. ($false = $true) | ($false = rel_s4 @ X1 @ sK13) | ($false = rel_s4 @ sK13 @ X1) | ($false = rel_s4 @ X1 @ sK30) | ($true != rel_s4 @ X2 @ X1) | ($true != exists_in_world @ sK24 @ X2) <- {812} [superposition 10160,206] 126.57/124.70 24275. ($false = $true) | ($true != rel_s4 @ X1 @ X0) | ($true != exists_in_world @ sK24 @ X1) | ($false = rel_s4 @ X0 @ sK13) | ($false = rel_s4 @ sK13 @ X0) | ($false = rel_s4 @ X0 @ sK30) <- {812} [superposition 206,10160] 126.57/124.70 24306. 1410 <=> ! [X1,X2] : (($false = rel_s4 @ X1 @ sK13) | ($true != exists_in_world @ sK24 @ X2) | ($true != rel_s4 @ X2 @ X1) | ($false = rel_s4 @ X1 @ sK30) | ($false = rel_s4 @ sK13 @ X1)) [avatar definition] 126.57/124.70 24308. 1410 | 0 | ~812 [avatar split clause 24270,10159,315,24306] 126.57/124.70 24309. 1410 | 0 | ~812 [avatar split clause 24275,10159,315,24306] 126.57/124.70 24310. ($false = $true) | ($false = rel_s4 @ X2 @ sK13) | ($false = rel_s4 @ sK13 @ X2) | ($false = rel_s4 @ X2 @ sK33) | ($true != rel_s4 @ X3 @ X2) | ($true != exists_in_world @ sK24 @ X3) <- {814} [superposition 10174,206] 126.57/124.70 24315. ($false = $true) | ($true != rel_s4 @ X2 @ X1) | ($true != exists_in_world @ sK24 @ X2) | ($false = rel_s4 @ X1 @ sK13) | ($false = rel_s4 @ sK13 @ X1) | ($false = rel_s4 @ X1 @ sK33) <- {814} [superposition 206,10174] 126.57/124.70 24346. 1412 <=> ! [X3,X2] : (($false = rel_s4 @ X2 @ sK13) | ($true != exists_in_world @ sK24 @ X3) | ($true != rel_s4 @ X3 @ X2) | ($false = rel_s4 @ X2 @ sK33) | ($false = rel_s4 @ sK13 @ X2)) [avatar definition] 126.57/124.70 24348. 1412 | 0 | ~814 [avatar split clause 24310,10173,315,24346] 126.57/124.70 24349. 1412 | 0 | ~814 [avatar split clause 24315,10173,315,24346] 126.57/124.70 24350. ($false = $true) | ($false = rel_s4 @ X2 @ sK18) | ($false = rel_s4 @ sK13 @ X2) | ($false = rel_s4 @ X2 @ sK28) | ($true != rel_s4 @ X3 @ X2) | ($true != exists_in_world @ sK20 @ X3) <- {820} [superposition 10219,206] 126.57/124.70 24355. ($false = $true) | ($true != rel_s4 @ X2 @ X1) | ($true != exists_in_world @ sK20 @ X2) | ($false = rel_s4 @ X1 @ sK18) | ($false = rel_s4 @ sK13 @ X1) | ($false = rel_s4 @ X1 @ sK28) <- {820} [superposition 206,10219] 126.57/124.70 24388. 1414 <=> ! [X3,X2] : (($false = rel_s4 @ X2 @ sK18) | ($true != exists_in_world @ sK20 @ X3) | ($true != rel_s4 @ X3 @ X2) | ($false = rel_s4 @ X2 @ sK28) | ($false = rel_s4 @ sK13 @ X2)) [avatar definition] 126.57/124.70 24390. 1414 | 0 | ~820 [avatar split clause 24350,10218,315,24388] 126.57/124.70 24391. 1414 | 0 | ~820 [avatar split clause 24355,10218,315,24388] 126.57/124.70 24394. ($false = $true) | ($false = rel_s4 @ sK33 @ sK13) | ($false = rel_s4 @ sK13 @ sK33) | ($false = rel_s4 @ sK33 @ sK33) <- {814, 1008} [superposition 18473,10174] 126.57/124.70 24395. ($false = $true) | ($false = rel_s4 @ sK33 @ sK13) | ($false = rel_s4 @ sK13 @ sK33) | ($false = rel_s4 @ sK33 @ sK30) <- {812, 1008} [superposition 18473,10160] 126.57/124.70 24396. ($false = $true) | ($false = rel_s4 @ sK33 @ sK13) | ($false = rel_s4 @ sK13 @ sK33) | ($false = rel_s4 @ sK33 @ sK33) <- {814, 1008} [superposition 10174,18473] 126.57/124.70 24397. ($false = $true) | ($false = rel_s4 @ sK33 @ sK13) | ($false = rel_s4 @ sK13 @ sK33) | ($false = rel_s4 @ sK33 @ sK30) <- {812, 1008} [superposition 10160,18473] 126.57/124.70 24402. 1416 <=> ($false = rel_s4 @ sK33 @ sK33) [avatar definition] 126.57/124.70 24408. 1418 <=> ($false = rel_s4 @ sK13 @ sK33) [avatar definition] 126.57/124.70 24414. 1420 <=> ($false = rel_s4 @ sK33 @ sK13) [avatar definition] 126.57/124.70 24416. 1416 | 1418 | 1420 | 0 | ~814 | ~1008 [avatar split clause 24394,18472,10173,315,24414,24408,24402] 126.57/124.70 24421. 1422 <=> ($false = rel_s4 @ sK33 @ sK30) [avatar definition] 126.57/124.70 24423. 1422 | 1418 | 1420 | 0 | ~812 | ~1008 [avatar split clause 24395,18472,10159,315,24414,24408,24421] 126.57/124.70 24424. 1416 | 1418 | 1420 | 0 | ~814 | ~1008 [avatar split clause 24396,18472,10173,315,24414,24408,24402] 126.57/124.70 24425. 1422 | 1418 | 1420 | 0 | ~812 | ~1008 [avatar split clause 24397,18472,10159,315,24414,24408,24421] 126.57/124.70 24426. ($false = $true) | ($false = rel_s4 @ X3 @ sK18) | ($false = rel_s4 @ sK13 @ X3) | ($false = rel_s4 @ X3 @ sK30) | ($true != rel_s4 @ X4 @ X3) | ($true != exists_in_world @ sK24 @ X4) <- {822} [superposition 10223,206] 126.57/124.70 24429. ($false = $true) | ($false = rel_s4 @ sK28 @ sK18) | ($false = rel_s4 @ sK13 @ sK28) | ($false = rel_s4 @ sK28 @ sK30) <- {450, 822} [superposition 10223,6833] 126.57/124.70 24432. ($false = $true) | ($true != rel_s4 @ X3 @ X2) | ($true != exists_in_world @ sK24 @ X3) | ($false = rel_s4 @ X2 @ sK18) | ($false = rel_s4 @ sK13 @ X2) | ($false = rel_s4 @ X2 @ sK30) <- {822} [superposition 206,10223] 126.57/124.70 24451. ($false = $true) | ($false = rel_s4 @ sK28 @ sK18) | ($false = rel_s4 @ sK13 @ sK28) | ($false = rel_s4 @ sK28 @ sK30) <- {450, 822} [superposition 6833,10223] 126.57/124.70 24464. 1424 <=> ! [X3,X4] : (($false = rel_s4 @ X3 @ sK18) | ($true != exists_in_world @ sK24 @ X4) | ($true != rel_s4 @ X4 @ X3) | ($false = rel_s4 @ X3 @ sK30) | ($false = rel_s4 @ sK13 @ X3)) [avatar definition] 126.57/124.70 24466. 1424 | 0 | ~822 [avatar split clause 24426,10222,315,24464] 126.57/124.70 24471. 1426 <=> ($false = rel_s4 @ sK28 @ sK30) [avatar definition] 126.57/124.70 24473. 1426 | 1400 | 1368 | 0 | ~450 | ~822 [avatar split clause 24429,10222,6832,315,22897,24239,24471] 126.57/124.70 24474. 1424 | 0 | ~822 [avatar split clause 24432,10222,315,24464] 126.57/124.70 24475. 1426 | 1400 | 1368 | 0 | ~450 | ~822 [avatar split clause 24451,10222,6832,315,22897,24239,24471] 126.57/124.70 24476. ($false = $true) | ($false = rel_s4 @ X4 @ sK18) | ($false = rel_s4 @ sK13 @ X4) | ($false = rel_s4 @ X4 @ sK33) | ($true != rel_s4 @ X5 @ X4) | ($true != exists_in_world @ sK24 @ X5) <- {824} [superposition 10237,206] 126.57/124.70 24479. ($false = $true) | ($false = rel_s4 @ sK28 @ sK18) | ($false = rel_s4 @ sK13 @ sK28) | ($false = rel_s4 @ sK28 @ sK33) <- {450, 824} [superposition 10237,6833] 126.57/124.70 24482. ($false = $true) | ($true != rel_s4 @ X4 @ X3) | ($true != exists_in_world @ sK24 @ X4) | ($false = rel_s4 @ X3 @ sK18) | ($false = rel_s4 @ sK13 @ X3) | ($false = rel_s4 @ X3 @ sK33) <- {824} [superposition 206,10237] 126.57/124.70 24501. ($false = $true) | ($false = rel_s4 @ sK28 @ sK18) | ($false = rel_s4 @ sK13 @ sK28) | ($false = rel_s4 @ sK28 @ sK33) <- {450, 824} [superposition 6833,10237] 126.57/124.70 24514. 1428 <=> ! [X5,X4] : (($false = rel_s4 @ X4 @ sK18) | ($true != exists_in_world @ sK24 @ X5) | ($true != rel_s4 @ X5 @ X4) | ($false = rel_s4 @ X4 @ sK33) | ($false = rel_s4 @ sK13 @ X4)) [avatar definition] 126.57/124.70 24516. 1428 | 0 | ~824 [avatar split clause 24476,10236,315,24514] 126.57/124.70 24521. 1430 <=> ($false = rel_s4 @ sK28 @ sK33) [avatar definition] 126.57/124.70 24523. 1430 | 1400 | 1368 | 0 | ~450 | ~824 [avatar split clause 24479,10236,6832,315,22897,24239,24521] 126.57/124.70 24524. 1428 | 0 | ~824 [avatar split clause 24482,10236,315,24514] 126.57/124.70 24525. 1430 | 1400 | 1368 | 0 | ~450 | ~824 [avatar split clause 24501,10236,6832,315,22897,24239,24521] 126.57/124.70 24538. ($false = $true) | ($false = rel_s4 @ sK12 @ X5) | ($false = rel_s4 @ X5 @ sK23) | ($false = rel_s4 @ sK23 @ sK12) <- {4, 572} [superposition 12107,7449] 126.57/124.70 24570. ($false = $true) | ($false = rel_s4 @ sK12 @ X8) | ($false = rel_s4 @ X8 @ sK23) | ($false = rel_s4 @ sK23 @ sK12) <- {4, 572} [superposition 7449,12107] 126.57/124.70 24600. 1432 <=> ! [X5] : (($false = rel_s4 @ sK12 @ X5) | ($false = rel_s4 @ X5 @ sK23)) [avatar definition] 126.57/124.70 24602. 1348 | 1432 | 0 | ~4 | ~572 [avatar split clause 24538,7448,361,315,24600,22328] 126.57/124.70 24603. 1348 | 1432 | 0 | ~4 | ~572 [avatar split clause 24570,7448,361,315,24600,22328] 126.57/124.70 24767. ($false = $true) | ($false = rel_s4 @ sK18 @ X34) | ($false = rel_s4 @ X34 @ sK28) | ($false = rel_s4 @ sK28 @ sK18) | ($false = p @ (sK17 @ sK23)) <- {92, 616} [superposition 12141,7856] 126.57/124.70 24799. ($false = $true) | ($false = p @ (sK17 @ sK23)) | ($false = rel_s4 @ sK18 @ X39) | ($false = rel_s4 @ X39 @ sK28) | ($false = rel_s4 @ sK28 @ sK18) <- {92, 616} [superposition 7856,12141] 126.57/124.70 24809. ($false = $true) | ($false = $true) | ($false = rel_s4 @ sK18 @ X34) | ($false = rel_s4 @ X34 @ sK28) | ($false = rel_s4 @ sK28 @ sK18) <- {92, 616, 1158} [forward demodulation 24767,20495] 126.57/124.70 24810. ($false = $true) | ($false = rel_s4 @ sK18 @ X34) | ($false = rel_s4 @ X34 @ sK28) | ($false = rel_s4 @ sK28 @ sK18) <- {92, 616, 1158} [duplicate literal removal 24809] 126.57/124.70 24812. 1434 <=> ! [X34] : (($false = rel_s4 @ sK18 @ X34) | ($false = rel_s4 @ X34 @ sK28)) [avatar definition] 126.57/124.70 24814. 1368 | 1434 | 0 | ~92 | ~616 | ~1158 [avatar split clause 24810,20494,7855,2124,315,24812,22897] 126.57/124.70 24815. ($false = $true) | ($false = $true) | ($false = rel_s4 @ sK18 @ X39) | ($false = rel_s4 @ X39 @ sK28) | ($false = rel_s4 @ sK28 @ sK18) <- {92, 616, 1158} [forward demodulation 24799,20495] 126.57/124.70 24816. ($false = $true) | ($false = rel_s4 @ sK18 @ X39) | ($false = rel_s4 @ X39 @ sK28) | ($false = rel_s4 @ sK28 @ sK18) <- {92, 616, 1158} [duplicate literal removal 24815] 126.57/124.70 24817. 1368 | 1434 | 0 | ~92 | ~616 | ~1158 [avatar split clause 24816,20494,7855,2124,315,24812,22897] 126.57/124.70 24974. ($false = $true) | ($false != rel_s4 @ X222 @ sK23) | ($false = rel_s4 @ sK23 @ X222) | ($false = rel_s4 @ X222 @ sK18) <- {92, 335} [superposition 12149,2125] 126.57/124.70 24975. ($false = $true) | ($false != rel_s4 @ X223 @ sK23) | ($false = rel_s4 @ sK23 @ X223) | ($false = rel_s4 @ X223 @ sK18) | ($false = rel_s4 @ sK18 @ X224) | ($false = rel_s4 @ X224 @ sK18) | ($false = rel_s4 @ sK18 @ sK18) <- {92, 335} [superposition 12149,12141] 126.57/124.70 24976. ($false = $true) | ($false != rel_s4 @ X225 @ sK23) | ($false = rel_s4 @ sK23 @ X225) | ($false = rel_s4 @ X225 @ sK18) | ($false = rel_s4 @ sK18 @ sK18) | ($false = rel_s4 @ sK18 @ sK18) <- {92, 335} [superposition 12149,11096] 126.57/124.70 24978. ($false = $true) | ($false != rel_s4 @ X227 @ sK23) | ($false = rel_s4 @ sK29 @ X227) | ($false = rel_s4 @ X227 @ sK18) <- {286, 335} [superposition 12149,4253] 126.57/124.70 24979. ($false = $true) | ($false != rel_s4 @ X228 @ sK23) | ($false = rel_s4 @ sK29 @ X228) | ($false = rel_s4 @ X228 @ sK18) | ($false = rel_s4 @ sK18 @ X229) | ($false = rel_s4 @ X229 @ sK18) | ($false = rel_s4 @ sK18 @ sK18) <- {286, 335} [superposition 12149,12146] 126.57/124.70 24980. ($false = $true) | ($false != rel_s4 @ X230 @ sK23) | ($false = rel_s4 @ sK29 @ X230) | ($false = rel_s4 @ X230 @ sK18) | ($false = rel_s4 @ sK18 @ sK18) | ($false = rel_s4 @ sK18 @ sK18) <- {286, 335} [superposition 12149,11101] 126.57/124.70 24982. ($false = $true) | ($false != rel_s4 @ X232 @ sK23) | ($false = rel_s4 @ sK31 @ X232) | ($false = rel_s4 @ X232 @ sK18) <- {314, 335} [superposition 12149,4349] 126.57/124.70 24983. ($false = $true) | ($false != rel_s4 @ X233 @ sK23) | ($false = rel_s4 @ sK31 @ X233) | ($false = rel_s4 @ X233 @ sK18) | ($false = rel_s4 @ sK18 @ X234) | ($false = rel_s4 @ X234 @ sK18) | ($false = rel_s4 @ sK18 @ sK18) <- {314, 335} [superposition 12149,12147] 126.57/124.70 24984. ($false = $true) | ($false != rel_s4 @ X235 @ sK23) | ($false = rel_s4 @ sK31 @ X235) | ($false = rel_s4 @ X235 @ sK18) | ($false = rel_s4 @ sK18 @ sK18) | ($false = rel_s4 @ sK18 @ sK18) <- {314, 335} [superposition 12149,11102] 126.57/124.70 24985. ($false = $true) | ($false != rel_s4 @ X236 @ sK23) | ($false = rel_s4 @ sK34 @ X236) | ($false = rel_s4 @ X236 @ sK18) <- {335, 558} [superposition 12149,7332] 126.57/124.70 25053. ($false = $true) | ($false != rel_s4 @ X427 @ sK23) | ($false = rel_s4 @ sK29 @ X427) | ($false = rel_s4 @ X427 @ sK18) <- {286, 335} [superposition 4253,12149] 126.57/124.70 25054. ($false = vOR_37 @ (vNOT_33 @ $false) @ (big_r @ sK21 @ sK29)) | ($false != rel_s4 @ X428 @ sK23) | ($false = rel_s4 @ sK29 @ X428) | ($false = rel_s4 @ X428 @ sK18) <- {104, 335} [superposition 2172,12149] 126.57/124.70 25055. ($false = $true) | ($false = rel_s4 @ sK18 @ X429) | ($false = rel_s4 @ X429 @ sK18) | ($false = rel_s4 @ sK18 @ sK18) | ($false != rel_s4 @ X430 @ sK23) | ($false = rel_s4 @ sK29 @ X430) | ($false = rel_s4 @ X430 @ sK18) <- {286, 335} [superposition 12146,12149] 126.57/124.70 25056. ($false = vOR_37 @ (vNOT_33 @ $false) @ $false) | ($false = rel_s4 @ sK18 @ sK18) | ($false = rel_s4 @ sK18 @ sK18) | ($false != rel_s4 @ X431 @ sK23) | ($false = rel_s4 @ sK29 @ X431) | ($false = rel_s4 @ X431 @ sK18) <- {104, 288, 335} [superposition 11242,12149] 126.57/124.70 25057. ($false = $true) | ($false = rel_s4 @ sK18 @ sK18) | ($false = rel_s4 @ sK18 @ sK18) | ($false != rel_s4 @ X432 @ sK23) | ($false = rel_s4 @ sK29 @ X432) | ($false = rel_s4 @ X432 @ sK18) <- {286, 335} [superposition 11101,12149] 126.57/124.70 25060. ($false = $true) | ($false != rel_s4 @ X435 @ sK23) | ($false = rel_s4 @ sK31 @ X435) | ($false = rel_s4 @ X435 @ sK18) <- {314, 335} [superposition 4349,12149] 126.57/124.70 25061. ($false = vOR_37 @ (vNOT_33 @ $false) @ (big_r @ sK25 @ sK31)) | ($false != rel_s4 @ X436 @ sK23) | ($false = rel_s4 @ sK31 @ X436) | ($false = rel_s4 @ X436 @ sK18) <- {116, 335} [superposition 2224,12149] 126.57/124.70 25062. ($false = $true) | ($false = rel_s4 @ sK18 @ X437) | ($false = rel_s4 @ X437 @ sK18) | ($false = rel_s4 @ sK18 @ sK18) | ($false != rel_s4 @ X438 @ sK23) | ($false = rel_s4 @ sK31 @ X438) | ($false = rel_s4 @ X438 @ sK18) <- {314, 335} [superposition 12147,12149] 126.57/124.70 25063. ($false = vOR_37 @ (vNOT_33 @ $false) @ $false) | ($false = rel_s4 @ sK18 @ sK18) | ($false = rel_s4 @ sK18 @ sK18) | ($false != rel_s4 @ X439 @ sK23) | ($false = rel_s4 @ sK31 @ X439) | ($false = rel_s4 @ X439 @ sK18) <- {116, 316, 335} [superposition 11244,12149] 126.57/124.70 25064. ($false = $true) | ($false = rel_s4 @ sK18 @ sK18) | ($false = rel_s4 @ sK18 @ sK18) | ($false != rel_s4 @ X440 @ sK23) | ($false = rel_s4 @ sK31 @ X440) | ($false = rel_s4 @ X440 @ sK18) <- {314, 335} [superposition 11102,12149] 126.57/124.70 25066. ($false = $true) | ($false != rel_s4 @ X442 @ sK23) | ($false = rel_s4 @ sK34 @ X442) | ($false = rel_s4 @ X442 @ sK18) <- {335, 558} [superposition 7332,12149] 126.57/124.70 25067. ($false = vOR_37 @ (vNOT_33 @ $false) @ (big_r @ sK25 @ sK34)) | ($false != rel_s4 @ X443 @ sK23) | ($false = rel_s4 @ sK34 @ X443) | ($false = rel_s4 @ X443 @ sK18) <- {330, 335} [superposition 4409,12149] 126.57/124.70 25068. ($false = vOR_37 @ (vNOT_33 @ $false) @ $false) | ($false = rel_s4 @ sK18 @ sK18) | ($false = rel_s4 @ sK18 @ sK18) | ($false != rel_s4 @ X444 @ sK23) | ($false = rel_s4 @ sK34 @ X444) | ($false = rel_s4 @ X444 @ sK18) <- {330, 335, 560} [superposition 11249,12149] 126.57/124.70 25075. ($false = vOR_37 @ (vNOT_33 @ $false) @ $false) | ($false = rel_s4 @ sK18 @ sK18) | ($false != rel_s4 @ X444 @ sK23) | ($false = rel_s4 @ sK34 @ X444) | ($false = rel_s4 @ X444 @ sK18) <- {330, 335, 560} [duplicate literal removal 25068] 126.57/124.70 25076. ($false = $true) | ($false = rel_s4 @ sK18 @ sK18) | ($false != rel_s4 @ X440 @ sK23) | ($false = rel_s4 @ sK31 @ X440) | ($false = rel_s4 @ X440 @ sK18) <- {314, 335} [duplicate literal removal 25064] 126.57/124.70 25077. ($false = vOR_37 @ (vNOT_33 @ $false) @ $false) | ($false = rel_s4 @ sK18 @ sK18) | ($false != rel_s4 @ X439 @ sK23) | ($false = rel_s4 @ sK31 @ X439) | ($false = rel_s4 @ X439 @ sK18) <- {116, 316, 335} [duplicate literal removal 25063] 126.57/124.70 25078. ($false = $true) | ($false = rel_s4 @ sK18 @ sK18) | ($false != rel_s4 @ X432 @ sK23) | ($false = rel_s4 @ sK29 @ X432) | ($false = rel_s4 @ X432 @ sK18) <- {286, 335} [duplicate literal removal 25057] 126.57/124.70 25079. ($false = vOR_37 @ (vNOT_33 @ $false) @ $false) | ($false = rel_s4 @ sK18 @ sK18) | ($false != rel_s4 @ X431 @ sK23) | ($false = rel_s4 @ sK29 @ X431) | ($false = rel_s4 @ X431 @ sK18) <- {104, 288, 335} [duplicate literal removal 25056] 126.57/124.70 25091. ($false = $true) | ($false != rel_s4 @ X235 @ sK23) | ($false = rel_s4 @ sK31 @ X235) | ($false = rel_s4 @ X235 @ sK18) | ($false = rel_s4 @ sK18 @ sK18) <- {314, 335} [duplicate literal removal 24984] 126.57/124.70 25092. ($false = $true) | ($false != rel_s4 @ X230 @ sK23) | ($false = rel_s4 @ sK29 @ X230) | ($false = rel_s4 @ X230 @ sK18) | ($false = rel_s4 @ sK18 @ sK18) <- {286, 335} [duplicate literal removal 24980] 126.57/124.70 25093. ($false = $true) | ($false != rel_s4 @ X225 @ sK23) | ($false = rel_s4 @ sK23 @ X225) | ($false = rel_s4 @ X225 @ sK18) | ($false = rel_s4 @ sK18 @ sK18) <- {92, 335} [duplicate literal removal 24976] 126.57/124.70 25095. 1436 <=> ! [X222] : (($false != rel_s4 @ X222 @ sK23) | ($false = rel_s4 @ X222 @ sK18) | ($false = rel_s4 @ sK23 @ X222)) [avatar definition] 126.57/124.70 25097. 1436 | 0 | ~92 | 335 [avatar split clause 24974,4443,2124,315,25095] 126.57/124.70 25098. ($false = $true) | ($false = $true) | ($false != rel_s4 @ X223 @ sK23) | ($false = rel_s4 @ sK23 @ X223) | ($false = rel_s4 @ X223 @ sK18) | ($false = rel_s4 @ sK18 @ X224) | ($false = rel_s4 @ X224 @ sK18) <- {92, 335} [forward demodulation 24975,258] 126.57/124.70 25099. ($false = $true) | ($false != rel_s4 @ X223 @ sK23) | ($false = rel_s4 @ sK23 @ X223) | ($false = rel_s4 @ X223 @ sK18) | ($false = rel_s4 @ sK18 @ X224) | ($false = rel_s4 @ X224 @ sK18) <- {92, 335} [duplicate literal removal 25098] 126.57/124.70 25101. 1438 <=> ! [X224] : (($false = rel_s4 @ sK18 @ X224) | ($false = rel_s4 @ X224 @ sK18)) [avatar definition] 126.57/124.70 25103. 1438 | 1436 | 0 | ~92 | 335 [avatar split clause 25099,4443,2124,315,25095,25101] 126.57/124.70 25104. ($false = $true) | ($false = $true) | ($false != rel_s4 @ X225 @ sK23) | ($false = rel_s4 @ sK23 @ X225) | ($false = rel_s4 @ X225 @ sK18) <- {92, 335} [forward demodulation 25093,258] 126.57/124.70 25105. ($false = $true) | ($false != rel_s4 @ X225 @ sK23) | ($false = rel_s4 @ sK23 @ X225) | ($false = rel_s4 @ X225 @ sK18) <- {92, 335} [duplicate literal removal 25104] 126.57/124.70 25106. 1436 | 0 | ~92 | 335 [avatar split clause 25105,4443,2124,315,25095] 126.57/124.70 25108. 1440 <=> ! [X227] : (($false != rel_s4 @ X227 @ sK23) | ($false = rel_s4 @ X227 @ sK18) | ($false = rel_s4 @ sK29 @ X227)) [avatar definition] 126.57/124.70 25110. 1440 | 0 | ~286 | 335 [avatar split clause 24978,4443,4252,315,25108] 126.57/124.70 25111. ($false = $true) | ($false = $true) | ($false != rel_s4 @ X228 @ sK23) | ($false = rel_s4 @ sK29 @ X228) | ($false = rel_s4 @ X228 @ sK18) | ($false = rel_s4 @ sK18 @ X229) | ($false = rel_s4 @ X229 @ sK18) <- {286, 335} [forward demodulation 24979,258] 126.57/124.70 25112. ($false = $true) | ($false != rel_s4 @ X228 @ sK23) | ($false = rel_s4 @ sK29 @ X228) | ($false = rel_s4 @ X228 @ sK18) | ($false = rel_s4 @ sK18 @ X229) | ($false = rel_s4 @ X229 @ sK18) <- {286, 335} [duplicate literal removal 25111] 126.57/124.70 25113. 1438 | 1440 | 0 | ~286 | 335 [avatar split clause 25112,4443,4252,315,25108,25101] 126.57/124.70 25114. ($false = $true) | ($false = $true) | ($false != rel_s4 @ X230 @ sK23) | ($false = rel_s4 @ sK29 @ X230) | ($false = rel_s4 @ X230 @ sK18) <- {286, 335} [forward demodulation 25092,258] 126.57/124.70 25115. ($false = $true) | ($false != rel_s4 @ X230 @ sK23) | ($false = rel_s4 @ sK29 @ X230) | ($false = rel_s4 @ X230 @ sK18) <- {286, 335} [duplicate literal removal 25114] 126.57/124.70 25116. 1440 | 0 | ~286 | 335 [avatar split clause 25115,4443,4252,315,25108] 126.57/124.70 25118. 1442 <=> ! [X232] : (($false != rel_s4 @ X232 @ sK23) | ($false = rel_s4 @ X232 @ sK18) | ($false = rel_s4 @ sK31 @ X232)) [avatar definition] 126.57/124.70 25120. 1442 | 0 | ~314 | 335 [avatar split clause 24982,4443,4348,315,25118] 126.57/124.70 25121. ($false = $true) | ($false = $true) | ($false != rel_s4 @ X233 @ sK23) | ($false = rel_s4 @ sK31 @ X233) | ($false = rel_s4 @ X233 @ sK18) | ($false = rel_s4 @ sK18 @ X234) | ($false = rel_s4 @ X234 @ sK18) <- {314, 335} [forward demodulation 24983,258] 126.57/124.70 25122. ($false = $true) | ($false != rel_s4 @ X233 @ sK23) | ($false = rel_s4 @ sK31 @ X233) | ($false = rel_s4 @ X233 @ sK18) | ($false = rel_s4 @ sK18 @ X234) | ($false = rel_s4 @ X234 @ sK18) <- {314, 335} [duplicate literal removal 25121] 126.57/124.70 25123. 1438 | 1442 | 0 | ~314 | 335 [avatar split clause 25122,4443,4348,315,25118,25101] 126.57/124.70 25124. ($false = $true) | ($false = $true) | ($false != rel_s4 @ X235 @ sK23) | ($false = rel_s4 @ sK31 @ X235) | ($false = rel_s4 @ X235 @ sK18) <- {314, 335} [forward demodulation 25091,258] 126.57/124.70 25125. ($false = $true) | ($false != rel_s4 @ X235 @ sK23) | ($false = rel_s4 @ sK31 @ X235) | ($false = rel_s4 @ X235 @ sK18) <- {314, 335} [duplicate literal removal 25124] 126.57/124.70 25126. 1442 | 0 | ~314 | 335 [avatar split clause 25125,4443,4348,315,25118] 126.57/124.70 25128. 1444 <=> ! [X236] : (($false != rel_s4 @ X236 @ sK23) | ($false = rel_s4 @ X236 @ sK18) | ($false = rel_s4 @ sK34 @ X236)) [avatar definition] 126.57/124.70 25130. 1444 | 0 | 335 | ~558 [avatar split clause 24985,7331,4443,315,25128] 126.57/124.70 25131. 1440 | 0 | ~286 | 335 [avatar split clause 25053,4443,4252,315,25108] 126.57/124.70 25132. ($false = vOR_37 @ (vNOT_33 @ $false) @ $false) | ($false != rel_s4 @ X428 @ sK23) | ($false = rel_s4 @ sK29 @ X428) | ($false = rel_s4 @ X428 @ sK18) <- {104, 288, 335} [forward demodulation 25054,4260] 126.57/124.70 25133. 1440 | 252 | ~104 | ~288 | 335 [avatar split clause 25132,4443,4259,2171,4084,25108] 126.57/124.70 25134. ($false = $true) | ($false = $true) | ($false = rel_s4 @ sK18 @ X429) | ($false = rel_s4 @ X429 @ sK18) | ($false != rel_s4 @ X430 @ sK23) | ($false = rel_s4 @ sK29 @ X430) | ($false = rel_s4 @ X430 @ sK18) <- {286, 335} [forward demodulation 25055,258] 126.57/124.70 25135. ($false = $true) | ($false = rel_s4 @ sK18 @ X429) | ($false = rel_s4 @ X429 @ sK18) | ($false != rel_s4 @ X430 @ sK23) | ($false = rel_s4 @ sK29 @ X430) | ($false = rel_s4 @ X430 @ sK18) <- {286, 335} [duplicate literal removal 25134] 126.57/124.70 25136. 1440 | 1438 | 0 | ~286 | 335 [avatar split clause 25135,4443,4252,315,25101,25108] 126.57/124.70 25137. ($false = $true) | ($false = vOR_37 @ (vNOT_33 @ $false) @ $false) | ($false != rel_s4 @ X431 @ sK23) | ($false = rel_s4 @ sK29 @ X431) | ($false = rel_s4 @ X431 @ sK18) <- {104, 288, 335} [forward demodulation 25079,258] 126.57/124.70 25138. 1440 | 252 | 0 | ~104 | ~288 | 335 [avatar split clause 25137,4443,4259,2171,315,4084,25108] 126.57/124.70 25139. ($false = $true) | ($false = $true) | ($false != rel_s4 @ X432 @ sK23) | ($false = rel_s4 @ sK29 @ X432) | ($false = rel_s4 @ X432 @ sK18) <- {286, 335} [forward demodulation 25078,258] 126.57/124.70 25140. ($false = $true) | ($false != rel_s4 @ X432 @ sK23) | ($false = rel_s4 @ sK29 @ X432) | ($false = rel_s4 @ X432 @ sK18) <- {286, 335} [duplicate literal removal 25139] 126.57/124.70 25141. 1440 | 0 | ~286 | 335 [avatar split clause 25140,4443,4252,315,25108] 126.57/124.70 25142. 1442 | 0 | ~314 | 335 [avatar split clause 25060,4443,4348,315,25118] 126.57/124.70 25143. ($false = vOR_37 @ (vNOT_33 @ $false) @ $false) | ($false != rel_s4 @ X436 @ sK23) | ($false = rel_s4 @ sK31 @ X436) | ($false = rel_s4 @ X436 @ sK18) <- {116, 316, 335} [forward demodulation 25061,4356] 126.57/124.70 25144. 1442 | 252 | ~116 | ~316 | 335 [avatar split clause 25143,4443,4355,2223,4084,25118] 126.57/124.70 25145. ($false = $true) | ($false = $true) | ($false = rel_s4 @ sK18 @ X437) | ($false = rel_s4 @ X437 @ sK18) | ($false != rel_s4 @ X438 @ sK23) | ($false = rel_s4 @ sK31 @ X438) | ($false = rel_s4 @ X438 @ sK18) <- {314, 335} [forward demodulation 25062,258] 126.57/124.70 25146. ($false = $true) | ($false = rel_s4 @ sK18 @ X437) | ($false = rel_s4 @ X437 @ sK18) | ($false != rel_s4 @ X438 @ sK23) | ($false = rel_s4 @ sK31 @ X438) | ($false = rel_s4 @ X438 @ sK18) <- {314, 335} [duplicate literal removal 25145] 126.57/124.70 25147. 1442 | 1438 | 0 | ~314 | 335 [avatar split clause 25146,4443,4348,315,25101,25118] 126.57/124.70 25148. ($false = $true) | ($false = vOR_37 @ (vNOT_33 @ $false) @ $false) | ($false != rel_s4 @ X439 @ sK23) | ($false = rel_s4 @ sK31 @ X439) | ($false = rel_s4 @ X439 @ sK18) <- {116, 316, 335} [forward demodulation 25077,258] 126.57/124.70 25149. 1442 | 252 | 0 | ~116 | ~316 | 335 [avatar split clause 25148,4443,4355,2223,315,4084,25118] 126.57/124.70 25150. ($false = $true) | ($false = $true) | ($false != rel_s4 @ X440 @ sK23) | ($false = rel_s4 @ sK31 @ X440) | ($false = rel_s4 @ X440 @ sK18) <- {314, 335} [forward demodulation 25076,258] 126.57/124.70 25151. ($false = $true) | ($false != rel_s4 @ X440 @ sK23) | ($false = rel_s4 @ sK31 @ X440) | ($false = rel_s4 @ X440 @ sK18) <- {314, 335} [duplicate literal removal 25150] 126.57/124.70 25152. 1442 | 0 | ~314 | 335 [avatar split clause 25151,4443,4348,315,25118] 126.57/124.70 25153. 1444 | 0 | 335 | ~558 [avatar split clause 25066,7331,4443,315,25128] 126.57/124.70 25154. ($false = vOR_37 @ (vNOT_33 @ $false) @ $false) | ($false != rel_s4 @ X443 @ sK23) | ($false = rel_s4 @ sK34 @ X443) | ($false = rel_s4 @ X443 @ sK18) <- {330, 335, 560} [forward demodulation 25067,7339] 126.57/124.70 25155. 1444 | 252 | ~330 | 335 | ~560 [avatar split clause 25154,7338,4443,4408,4084,25128] 126.57/124.70 25156. ($false = $true) | ($false = vOR_37 @ (vNOT_33 @ $false) @ $false) | ($false != rel_s4 @ X444 @ sK23) | ($false = rel_s4 @ sK34 @ X444) | ($false = rel_s4 @ X444 @ sK18) <- {330, 335, 560} [forward demodulation 25075,258] 126.57/124.70 25157. 1444 | 252 | 0 | ~330 | 335 | ~560 [avatar split clause 25156,7338,4443,4408,315,4084,25128] 126.57/124.70 25383. ($false = $true) | ($false != rel_s4 @ X224 @ sK22) | ($false = rel_s4 @ sK22 @ X224) | ($false = rel_s4 @ X224 @ sK19) <- {74, 727} [superposition 12177,2057] 126.57/124.70 25384. ($false = $true) | ($false != rel_s4 @ X225 @ sK22) | ($false = rel_s4 @ sK22 @ X225) | ($false = rel_s4 @ X225 @ sK19) | ($false = rel_s4 @ sK19 @ X226) | ($false = rel_s4 @ X226 @ sK19) | ($false = rel_s4 @ sK19 @ sK19) <- {74, 727} [superposition 12177,12165] 126.57/124.70 25385. ($false = $true) | ($false != rel_s4 @ X227 @ sK22) | ($false = rel_s4 @ sK22 @ X227) | ($false = rel_s4 @ X227 @ sK19) | ($false = rel_s4 @ sK19 @ sK19) | ($false = rel_s4 @ sK19 @ sK19) <- {74, 727} [superposition 12177,10856] 126.57/124.70 25388. ($false = $true) | ($false != rel_s4 @ X231 @ sK22) | ($false = rel_s4 @ sK28 @ X231) | ($false = rel_s4 @ X231 @ sK19) <- {270, 727} [superposition 12177,4196] 126.57/124.70 25389. ($false = $true) | ($false != rel_s4 @ X232 @ sK22) | ($false = rel_s4 @ sK28 @ X232) | ($false = rel_s4 @ X232 @ sK19) | ($false = rel_s4 @ sK19 @ X233) | ($false = rel_s4 @ X233 @ sK19) | ($false = rel_s4 @ sK19 @ sK19) <- {270, 727} [superposition 12177,12172] 126.57/124.70 25390. ($false = $true) | ($false != rel_s4 @ X234 @ sK22) | ($false = rel_s4 @ sK28 @ X234) | ($false = rel_s4 @ X234 @ sK19) | ($false = rel_s4 @ sK19 @ sK19) | ($false = rel_s4 @ sK19 @ sK19) <- {270, 727} [superposition 12177,10863] 126.57/124.70 25393. ($false = $true) | ($false != rel_s4 @ X238 @ sK22) | ($false = rel_s4 @ sK30 @ X238) | ($false = rel_s4 @ X238 @ sK19) <- {300, 727} [superposition 12177,4301] 126.57/124.70 25394. ($false = $true) | ($false != rel_s4 @ X239 @ sK22) | ($false = rel_s4 @ sK30 @ X239) | ($false = rel_s4 @ X239 @ sK19) | ($false = rel_s4 @ sK19 @ X240) | ($false = rel_s4 @ X240 @ sK19) | ($false = rel_s4 @ sK19 @ sK19) <- {300, 727} [superposition 12177,12173] 126.57/124.70 25395. ($false = $true) | ($false != rel_s4 @ X241 @ sK22) | ($false = rel_s4 @ sK30 @ X241) | ($false = rel_s4 @ X241 @ sK19) | ($false = rel_s4 @ sK19 @ sK19) | ($false = rel_s4 @ sK19 @ sK19) <- {300, 727} [superposition 12177,10864] 126.57/124.70 25398. ($false = $true) | ($false != rel_s4 @ X245 @ sK22) | ($false = rel_s4 @ sK33 @ X245) | ($false = rel_s4 @ X245 @ sK19) <- {544, 727} [superposition 12177,7282] 126.57/124.70 25466. ($false = $true) | ($false != rel_s4 @ X431 @ sK22) | ($false = rel_s4 @ sK28 @ X431) | ($false = rel_s4 @ X431 @ sK19) <- {270, 727} [superposition 4196,12177] 126.57/124.70 25467. ($false = vOR_37 @ (vNOT_33 @ $false) @ (big_q @ sK20 @ sK28)) | ($false != rel_s4 @ X432 @ sK22) | ($false = rel_s4 @ sK28 @ X432) | ($false = rel_s4 @ X432 @ sK19) <- {102, 727} [superposition 2159,12177] 126.57/124.70 25468. ($false = $true) | ($false = rel_s4 @ sK19 @ X433) | ($false = rel_s4 @ X433 @ sK19) | ($false = rel_s4 @ sK19 @ sK19) | ($false != rel_s4 @ X434 @ sK22) | ($false = rel_s4 @ sK28 @ X434) | ($false = rel_s4 @ X434 @ sK19) <- {270, 727} [superposition 12172,12177] 126.57/124.70 25469. ($false = vOR_37 @ (vNOT_33 @ $false) @ $false) | ($false = rel_s4 @ sK19 @ sK19) | ($false = rel_s4 @ sK19 @ sK19) | ($false != rel_s4 @ X435 @ sK22) | ($false = rel_s4 @ sK28 @ X435) | ($false = rel_s4 @ X435 @ sK19) <- {102, 272, 727} [superposition 11211,12177] 126.57/124.70 25470. ($false = $true) | ($false = rel_s4 @ sK19 @ sK19) | ($false = rel_s4 @ sK19 @ sK19) | ($false != rel_s4 @ X436 @ sK22) | ($false = rel_s4 @ sK28 @ X436) | ($false = rel_s4 @ X436 @ sK19) <- {270, 727} [superposition 10863,12177] 126.57/124.70 25474. ($false = $true) | ($false != rel_s4 @ X441 @ sK22) | ($false = rel_s4 @ sK30 @ X441) | ($false = rel_s4 @ X441 @ sK19) <- {300, 727} [superposition 4301,12177] 126.57/124.70 25475. ($false = vOR_37 @ (vNOT_33 @ $false) @ (big_q @ sK24 @ sK30)) | ($false != rel_s4 @ X442 @ sK22) | ($false = rel_s4 @ sK30 @ X442) | ($false = rel_s4 @ X442 @ sK19) <- {108, 727} [superposition 2193,12177] 126.57/124.70 25476. ($false = $true) | ($false = rel_s4 @ sK19 @ X443) | ($false = rel_s4 @ X443 @ sK19) | ($false = rel_s4 @ sK19 @ sK19) | ($false != rel_s4 @ X444 @ sK22) | ($false = rel_s4 @ sK30 @ X444) | ($false = rel_s4 @ X444 @ sK19) <- {300, 727} [superposition 12173,12177] 126.57/124.70 25477. ($false = vOR_37 @ (vNOT_33 @ $false) @ $false) | ($false = rel_s4 @ sK19 @ sK19) | ($false = rel_s4 @ sK19 @ sK19) | ($false != rel_s4 @ X445 @ sK22) | ($false = rel_s4 @ sK30 @ X445) | ($false = rel_s4 @ X445 @ sK19) <- {108, 302, 727} [superposition 11212,12177] 126.57/124.70 25478. ($false = $true) | ($false = rel_s4 @ sK19 @ sK19) | ($false = rel_s4 @ sK19 @ sK19) | ($false != rel_s4 @ X446 @ sK22) | ($false = rel_s4 @ sK30 @ X446) | ($false = rel_s4 @ X446 @ sK19) <- {300, 727} [superposition 10864,12177] 126.57/124.70 25482. ($false = $true) | ($false != rel_s4 @ X451 @ sK22) | ($false = rel_s4 @ sK33 @ X451) | ($false = rel_s4 @ X451 @ sK19) <- {544, 727} [superposition 7282,12177] 126.57/124.70 25483. ($false = vOR_37 @ (vNOT_33 @ $false) @ (big_q @ sK24 @ sK33)) | ($false != rel_s4 @ X452 @ sK22) | ($false = rel_s4 @ sK33 @ X452) | ($false = rel_s4 @ X452 @ sK19) <- {328, 727} [superposition 4396,12177] 126.57/124.70 25484. ($false = vOR_37 @ (vNOT_33 @ $false) @ $false) | ($false = rel_s4 @ sK19 @ sK19) | ($false = rel_s4 @ sK19 @ sK19) | ($false != rel_s4 @ X453 @ sK22) | ($false = rel_s4 @ sK33 @ X453) | ($false = rel_s4 @ X453 @ sK19) <- {328, 546, 727} [superposition 11213,12177] 126.57/124.70 25492. ($false = vOR_37 @ (vNOT_33 @ $false) @ $false) | ($false = rel_s4 @ sK19 @ sK19) | ($false != rel_s4 @ X453 @ sK22) | ($false = rel_s4 @ sK33 @ X453) | ($false = rel_s4 @ X453 @ sK19) <- {328, 546, 727} [duplicate literal removal 25484] 126.57/124.70 25493. ($false = $true) | ($false = rel_s4 @ sK19 @ sK19) | ($false != rel_s4 @ X446 @ sK22) | ($false = rel_s4 @ sK30 @ X446) | ($false = rel_s4 @ X446 @ sK19) <- {300, 727} [duplicate literal removal 25478] 126.57/124.70 25494. ($false = vOR_37 @ (vNOT_33 @ $false) @ $false) | ($false = rel_s4 @ sK19 @ sK19) | ($false != rel_s4 @ X445 @ sK22) | ($false = rel_s4 @ sK30 @ X445) | ($false = rel_s4 @ X445 @ sK19) <- {108, 302, 727} [duplicate literal removal 25477] 126.57/124.70 25495. ($false = $true) | ($false = rel_s4 @ sK19 @ sK19) | ($false != rel_s4 @ X436 @ sK22) | ($false = rel_s4 @ sK28 @ X436) | ($false = rel_s4 @ X436 @ sK19) <- {270, 727} [duplicate literal removal 25470] 126.57/124.70 25496. ($false = vOR_37 @ (vNOT_33 @ $false) @ $false) | ($false = rel_s4 @ sK19 @ sK19) | ($false != rel_s4 @ X435 @ sK22) | ($false = rel_s4 @ sK28 @ X435) | ($false = rel_s4 @ X435 @ sK19) <- {102, 272, 727} [duplicate literal removal 25469] 126.57/124.70 25509. ($false = $true) | ($false != rel_s4 @ X241 @ sK22) | ($false = rel_s4 @ sK30 @ X241) | ($false = rel_s4 @ X241 @ sK19) | ($false = rel_s4 @ sK19 @ sK19) <- {300, 727} [duplicate literal removal 25395] 126.57/124.70 25510. ($false = $true) | ($false != rel_s4 @ X234 @ sK22) | ($false = rel_s4 @ sK28 @ X234) | ($false = rel_s4 @ X234 @ sK19) | ($false = rel_s4 @ sK19 @ sK19) <- {270, 727} [duplicate literal removal 25390] 126.57/124.70 25511. ($false = $true) | ($false != rel_s4 @ X227 @ sK22) | ($false = rel_s4 @ sK22 @ X227) | ($false = rel_s4 @ X227 @ sK19) | ($false = rel_s4 @ sK19 @ sK19) <- {74, 727} [duplicate literal removal 25385] 126.57/124.70 25513. 1446 <=> ! [X224] : (($false != rel_s4 @ X224 @ sK22) | ($false = rel_s4 @ X224 @ sK19) | ($false = rel_s4 @ sK22 @ X224)) [avatar definition] 126.57/124.70 25515. 1446 | 0 | ~74 | 727 [avatar split clause 25383,9309,2056,315,25513] 126.57/124.70 25516. ($false = $true) | ($false = $true) | ($false != rel_s4 @ X225 @ sK22) | ($false = rel_s4 @ sK22 @ X225) | ($false = rel_s4 @ X225 @ sK19) | ($false = rel_s4 @ sK19 @ X226) | ($false = rel_s4 @ X226 @ sK19) <- {74, 727} [forward demodulation 25384,258] 126.57/124.70 25517. ($false = $true) | ($false != rel_s4 @ X225 @ sK22) | ($false = rel_s4 @ sK22 @ X225) | ($false = rel_s4 @ X225 @ sK19) | ($false = rel_s4 @ sK19 @ X226) | ($false = rel_s4 @ X226 @ sK19) <- {74, 727} [duplicate literal removal 25516] 126.57/124.70 25519. 1448 <=> ! [X226] : (($false = rel_s4 @ sK19 @ X226) | ($false = rel_s4 @ X226 @ sK19)) [avatar definition] 126.57/124.70 25521. 1448 | 1446 | 0 | ~74 | 727 [avatar split clause 25517,9309,2056,315,25513,25519] 126.57/124.70 25522. ($false = $true) | ($false = $true) | ($false != rel_s4 @ X227 @ sK22) | ($false = rel_s4 @ sK22 @ X227) | ($false = rel_s4 @ X227 @ sK19) <- {74, 727} [forward demodulation 25511,258] 126.57/124.70 25523. ($false = $true) | ($false != rel_s4 @ X227 @ sK22) | ($false = rel_s4 @ sK22 @ X227) | ($false = rel_s4 @ X227 @ sK19) <- {74, 727} [duplicate literal removal 25522] 126.57/124.70 25524. 1446 | 0 | ~74 | 727 [avatar split clause 25523,9309,2056,315,25513] 126.57/124.70 25526. 1450 <=> ! [X231] : (($false != rel_s4 @ X231 @ sK22) | ($false = rel_s4 @ X231 @ sK19) | ($false = rel_s4 @ sK28 @ X231)) [avatar definition] 126.57/124.70 25528. 1450 | 0 | ~270 | 727 [avatar split clause 25388,9309,4195,315,25526] 126.57/124.70 25529. ($false = $true) | ($false = $true) | ($false != rel_s4 @ X232 @ sK22) | ($false = rel_s4 @ sK28 @ X232) | ($false = rel_s4 @ X232 @ sK19) | ($false = rel_s4 @ sK19 @ X233) | ($false = rel_s4 @ X233 @ sK19) <- {270, 727} [forward demodulation 25389,258] 126.57/124.70 25530. ($false = $true) | ($false != rel_s4 @ X232 @ sK22) | ($false = rel_s4 @ sK28 @ X232) | ($false = rel_s4 @ X232 @ sK19) | ($false = rel_s4 @ sK19 @ X233) | ($false = rel_s4 @ X233 @ sK19) <- {270, 727} [duplicate literal removal 25529] 126.57/124.70 25531. 1448 | 1450 | 0 | ~270 | 727 [avatar split clause 25530,9309,4195,315,25526,25519] 126.57/124.70 25532. ($false = $true) | ($false = $true) | ($false != rel_s4 @ X234 @ sK22) | ($false = rel_s4 @ sK28 @ X234) | ($false = rel_s4 @ X234 @ sK19) <- {270, 727} [forward demodulation 25510,258] 126.57/124.70 25533. ($false = $true) | ($false != rel_s4 @ X234 @ sK22) | ($false = rel_s4 @ sK28 @ X234) | ($false = rel_s4 @ X234 @ sK19) <- {270, 727} [duplicate literal removal 25532] 126.57/124.70 25534. 1450 | 0 | ~270 | 727 [avatar split clause 25533,9309,4195,315,25526] 126.57/124.70 25536. 1452 <=> ! [X238] : (($false != rel_s4 @ X238 @ sK22) | ($false = rel_s4 @ X238 @ sK19) | ($false = rel_s4 @ sK30 @ X238)) [avatar definition] 126.57/124.70 25538. 1452 | 0 | ~300 | 727 [avatar split clause 25393,9309,4300,315,25536] 126.57/124.70 25539. ($false = $true) | ($false = $true) | ($false != rel_s4 @ X239 @ sK22) | ($false = rel_s4 @ sK30 @ X239) | ($false = rel_s4 @ X239 @ sK19) | ($false = rel_s4 @ sK19 @ X240) | ($false = rel_s4 @ X240 @ sK19) <- {300, 727} [forward demodulation 25394,258] 126.57/124.70 25540. ($false = $true) | ($false != rel_s4 @ X239 @ sK22) | ($false = rel_s4 @ sK30 @ X239) | ($false = rel_s4 @ X239 @ sK19) | ($false = rel_s4 @ sK19 @ X240) | ($false = rel_s4 @ X240 @ sK19) <- {300, 727} [duplicate literal removal 25539] 126.57/124.70 25541. 1448 | 1452 | 0 | ~300 | 727 [avatar split clause 25540,9309,4300,315,25536,25519] 126.57/124.70 25542. ($false = $true) | ($false = $true) | ($false != rel_s4 @ X241 @ sK22) | ($false = rel_s4 @ sK30 @ X241) | ($false = rel_s4 @ X241 @ sK19) <- {300, 727} [forward demodulation 25509,258] 126.57/124.70 25543. ($false = $true) | ($false != rel_s4 @ X241 @ sK22) | ($false = rel_s4 @ sK30 @ X241) | ($false = rel_s4 @ X241 @ sK19) <- {300, 727} [duplicate literal removal 25542] 126.57/124.70 25544. 1452 | 0 | ~300 | 727 [avatar split clause 25543,9309,4300,315,25536] 126.57/124.70 25546. 1454 <=> ! [X245] : (($false != rel_s4 @ X245 @ sK22) | ($false = rel_s4 @ X245 @ sK19) | ($false = rel_s4 @ sK33 @ X245)) [avatar definition] 126.57/124.70 25548. 1454 | 0 | ~544 | 727 [avatar split clause 25398,9309,7281,315,25546] 126.57/124.70 25549. 1450 | 0 | ~270 | 727 [avatar split clause 25466,9309,4195,315,25526] 126.57/124.70 25550. ($false = vOR_37 @ (vNOT_33 @ $false) @ $false) | ($false != rel_s4 @ X432 @ sK22) | ($false = rel_s4 @ sK28 @ X432) | ($false = rel_s4 @ X432 @ sK19) <- {102, 272, 727} [forward demodulation 25467,4203] 126.57/124.70 25551. 1450 | 252 | ~102 | ~272 | 727 [avatar split clause 25550,9309,4202,2158,4084,25526] 126.57/124.70 25552. ($false = $true) | ($false = $true) | ($false = rel_s4 @ sK19 @ X433) | ($false = rel_s4 @ X433 @ sK19) | ($false != rel_s4 @ X434 @ sK22) | ($false = rel_s4 @ sK28 @ X434) | ($false = rel_s4 @ X434 @ sK19) <- {270, 727} [forward demodulation 25468,258] 126.57/124.70 25553. ($false = $true) | ($false = rel_s4 @ sK19 @ X433) | ($false = rel_s4 @ X433 @ sK19) | ($false != rel_s4 @ X434 @ sK22) | ($false = rel_s4 @ sK28 @ X434) | ($false = rel_s4 @ X434 @ sK19) <- {270, 727} [duplicate literal removal 25552] 126.57/124.70 25554. 1450 | 1448 | 0 | ~270 | 727 [avatar split clause 25553,9309,4195,315,25519,25526] 126.57/124.70 25555. ($false = $true) | ($false = vOR_37 @ (vNOT_33 @ $false) @ $false) | ($false != rel_s4 @ X435 @ sK22) | ($false = rel_s4 @ sK28 @ X435) | ($false = rel_s4 @ X435 @ sK19) <- {102, 272, 727} [forward demodulation 25496,258] 126.57/124.70 25556. 1450 | 252 | 0 | ~102 | ~272 | 727 [avatar split clause 25555,9309,4202,2158,315,4084,25526] 126.57/124.70 25557. ($false = $true) | ($false = $true) | ($false != rel_s4 @ X436 @ sK22) | ($false = rel_s4 @ sK28 @ X436) | ($false = rel_s4 @ X436 @ sK19) <- {270, 727} [forward demodulation 25495,258] 126.57/124.70 25558. ($false = $true) | ($false != rel_s4 @ X436 @ sK22) | ($false = rel_s4 @ sK28 @ X436) | ($false = rel_s4 @ X436 @ sK19) <- {270, 727} [duplicate literal removal 25557] 126.57/124.70 25559. 1450 | 0 | ~270 | 727 [avatar split clause 25558,9309,4195,315,25526] 126.57/124.70 25560. 1452 | 0 | ~300 | 727 [avatar split clause 25474,9309,4300,315,25536] 126.57/124.70 25561. ($false = vOR_37 @ (vNOT_33 @ $false) @ $false) | ($false != rel_s4 @ X442 @ sK22) | ($false = rel_s4 @ sK30 @ X442) | ($false = rel_s4 @ X442 @ sK19) <- {108, 302, 727} [forward demodulation 25475,4308] 126.57/124.70 25562. 1452 | 252 | ~108 | ~302 | 727 [avatar split clause 25561,9309,4307,2192,4084,25536] 126.57/124.70 25563. ($false = $true) | ($false = $true) | ($false = rel_s4 @ sK19 @ X443) | ($false = rel_s4 @ X443 @ sK19) | ($false != rel_s4 @ X444 @ sK22) | ($false = rel_s4 @ sK30 @ X444) | ($false = rel_s4 @ X444 @ sK19) <- {300, 727} [forward demodulation 25476,258] 126.57/124.70 25564. ($false = $true) | ($false = rel_s4 @ sK19 @ X443) | ($false = rel_s4 @ X443 @ sK19) | ($false != rel_s4 @ X444 @ sK22) | ($false = rel_s4 @ sK30 @ X444) | ($false = rel_s4 @ X444 @ sK19) <- {300, 727} [duplicate literal removal 25563] 126.57/124.70 25565. 1452 | 1448 | 0 | ~300 | 727 [avatar split clause 25564,9309,4300,315,25519,25536] 126.57/124.70 25566. ($false = $true) | ($false = vOR_37 @ (vNOT_33 @ $false) @ $false) | ($false != rel_s4 @ X445 @ sK22) | ($false = rel_s4 @ sK30 @ X445) | ($false = rel_s4 @ X445 @ sK19) <- {108, 302, 727} [forward demodulation 25494,258] 126.57/124.70 25567. 1452 | 252 | 0 | ~108 | ~302 | 727 [avatar split clause 25566,9309,4307,2192,315,4084,25536] 126.57/124.70 25568. ($false = $true) | ($false = $true) | ($false != rel_s4 @ X446 @ sK22) | ($false = rel_s4 @ sK30 @ X446) | ($false = rel_s4 @ X446 @ sK19) <- {300, 727} [forward demodulation 25493,258] 126.57/124.70 25569. ($false = $true) | ($false != rel_s4 @ X446 @ sK22) | ($false = rel_s4 @ sK30 @ X446) | ($false = rel_s4 @ X446 @ sK19) <- {300, 727} [duplicate literal removal 25568] 126.57/124.70 25570. 1452 | 0 | ~300 | 727 [avatar split clause 25569,9309,4300,315,25536] 126.57/124.70 25571. 1454 | 0 | ~544 | 727 [avatar split clause 25482,9309,7281,315,25546] 126.57/124.70 25572. ($false = vOR_37 @ (vNOT_33 @ $false) @ $false) | ($false != rel_s4 @ X452 @ sK22) | ($false = rel_s4 @ sK33 @ X452) | ($false = rel_s4 @ X452 @ sK19) <- {328, 546, 727} [forward demodulation 25483,7289] 126.57/124.70 25573. 1454 | 252 | ~328 | ~546 | 727 [avatar split clause 25572,9309,7288,4395,4084,25546] 126.57/124.70 25574. ($false = $true) | ($false = vOR_37 @ (vNOT_33 @ $false) @ $false) | ($false != rel_s4 @ X453 @ sK22) | ($false = rel_s4 @ sK33 @ X453) | ($false = rel_s4 @ X453 @ sK19) <- {328, 546, 727} [forward demodulation 25492,258] 126.57/124.70 25575. 1454 | 252 | 0 | ~328 | ~546 | 727 [avatar split clause 25574,9309,7288,4395,315,4084,25546] 126.57/124.70 25585. ($false = $true) | ($false = rel_s4 @ sK18 @ X3) | ($false = rel_s4 @ X3 @ sK12) | ($false = rel_s4 @ sK12 @ sK18) <- {4, 342} [superposition 12397,4524] 126.57/124.70 25587. ($false = $true) | ($false = rel_s4 @ sK22 @ X5) | ($false = rel_s4 @ X5 @ sK12) | ($false = rel_s4 @ sK12 @ sK22) <- {4, 690} [superposition 12397,8962] 126.57/124.70 25592. ($false = $true) | ($false = rel_s4 @ sK18 @ X13) | ($false = rel_s4 @ X13 @ sK12) | ($false = rel_s4 @ sK12 @ sK18) | ($false != rel_s4 @ X14 @ sK23) | ($false = rel_s4 @ sK13 @ X14) | ($false = rel_s4 @ X14 @ sK18) <- {4, 335} [superposition 12397,12149] 126.57/124.70 25619. ($false = $true) | ($false = rel_s4 @ sK18 @ X6) | ($false = rel_s4 @ X6 @ sK12) | ($false = rel_s4 @ sK12 @ sK18) <- {4, 342} [superposition 4524,12397] 126.57/124.70 25621. ($false = $true) | ($false = rel_s4 @ sK22 @ X8) | ($false = rel_s4 @ X8 @ sK12) | ($false = rel_s4 @ sK12 @ sK22) <- {4, 690} [superposition 8962,12397] 126.57/124.70 25626. ($false = $true) | ($false != rel_s4 @ X16 @ sK23) | ($false = rel_s4 @ sK13 @ X16) | ($false = rel_s4 @ X16 @ sK18) | ($false = rel_s4 @ sK18 @ X17) | ($false = rel_s4 @ X17 @ sK12) | ($false = rel_s4 @ sK12 @ sK18) <- {4, 335} [superposition 12149,12397] 126.57/124.70 25653. 1456 <=> ! [X3] : (($false = rel_s4 @ sK18 @ X3) | ($false = rel_s4 @ X3 @ sK12)) [avatar definition] 126.57/124.70 25655. 1338 | 1456 | 0 | ~4 | ~342 [avatar split clause 25585,4523,361,315,25653,22295] 126.57/124.70 25657. 1458 <=> ! [X5] : (($false = rel_s4 @ sK22 @ X5) | ($false = rel_s4 @ X5 @ sK12)) [avatar definition] 126.57/124.70 25659. 1346 | 1458 | 0 | ~4 | ~690 [avatar split clause 25587,8961,361,315,25657,22321] 126.57/124.70 25661. 1460 <=> ! [X14] : (($false != rel_s4 @ X14 @ sK23) | ($false = rel_s4 @ X14 @ sK18) | ($false = rel_s4 @ sK13 @ X14)) [avatar definition] 126.57/124.70 25663. 1460 | 1338 | 1456 | 0 | ~4 | 335 [avatar split clause 25592,4443,361,315,25653,22295,25661] 126.57/124.70 25664. 1338 | 1456 | 0 | ~4 | ~342 [avatar split clause 25619,4523,361,315,25653,22295] 126.57/124.70 25665. 1346 | 1458 | 0 | ~4 | ~690 [avatar split clause 25621,8961,361,315,25657,22321] 126.57/124.70 25666. 1338 | 1456 | 1460 | 0 | ~4 | 335 [avatar split clause 25626,4443,361,315,25661,25653,22295] 126.57/124.70 25823. ($false = $true) | ($false = rel_s4 @ X5 @ X6) | ($false = rel_s4 @ X6 @ sK13) | ($false != rel_s4 @ X5 @ sK13) | ($false = rel_s4 @ sK13 @ X7) | ($false = rel_s4 @ X7 @ X5) <- {129} [superposition 12409,253] 126.57/124.70 25850. ($false = $true) | ($false = rel_s4 @ sK13 @ X5) | ($false = rel_s4 @ X5 @ X4) | ($false = rel_s4 @ X4 @ X6) | ($false = rel_s4 @ X6 @ sK13) | ($false != rel_s4 @ X4 @ sK13) <- {129} [superposition 253,12409] 126.57/124.70 25956. 1462 <=> ! [X5,X7,X6] : (($false = rel_s4 @ X5 @ X6) | ($false = rel_s4 @ sK13 @ X7) | ($false = rel_s4 @ X7 @ X5) | ($false != rel_s4 @ X5 @ sK13) | ($false = rel_s4 @ X6 @ sK13)) [avatar definition] 126.57/124.70 25958. 1462 | 0 | 129 [avatar split clause 25823,2285,315,25956] 126.57/124.70 25959. 1462 | 0 | 129 [avatar split clause 25850,2285,315,25956] 126.57/124.70 25995. ($false = $true) | ($false = rel_s4 @ sK30 @ X44) | ($false = rel_s4 @ X44 @ sK18) | ($false = rel_s4 @ sK18 @ sK30) | ($false = p @ (sK17 @ sK23)) <- {92, 618} [superposition 12431,7860] 126.57/124.70 26030. ($false = $true) | ($false = p @ (sK17 @ sK23)) | ($false = rel_s4 @ sK30 @ X49) | ($false = rel_s4 @ X49 @ sK18) | ($false = rel_s4 @ sK18 @ sK30) <- {92, 618} [superposition 7860,12431] 126.57/124.70 26036. ($false = $true) | ($false = $true) | ($false = rel_s4 @ sK30 @ X44) | ($false = rel_s4 @ X44 @ sK18) | ($false = rel_s4 @ sK18 @ sK30) <- {92, 618, 1158} [forward demodulation 25995,20495] 126.57/124.70 26037. ($false = $true) | ($false = rel_s4 @ sK30 @ X44) | ($false = rel_s4 @ X44 @ sK18) | ($false = rel_s4 @ sK18 @ sK30) <- {92, 618, 1158} [duplicate literal removal 26036] 126.57/124.70 26039. 1464 <=> ! [X44] : (($false = rel_s4 @ sK30 @ X44) | ($false = rel_s4 @ X44 @ sK18)) [avatar definition] 126.57/124.70 26041. 1370 | 1464 | 0 | ~92 | ~618 | ~1158 [avatar split clause 26037,20494,7859,2124,315,26039,22906] 126.57/124.70 26042. ($false = $true) | ($false = $true) | ($false = rel_s4 @ sK30 @ X49) | ($false = rel_s4 @ X49 @ sK18) | ($false = rel_s4 @ sK18 @ sK30) <- {92, 618, 1158} [forward demodulation 26030,20495] 126.57/124.70 26043. ($false = $true) | ($false = rel_s4 @ sK30 @ X49) | ($false = rel_s4 @ X49 @ sK18) | ($false = rel_s4 @ sK18 @ sK30) <- {92, 618, 1158} [duplicate literal removal 26042] 126.57/124.70 26044. 1370 | 1464 | 0 | ~92 | ~618 | ~1158 [avatar split clause 26043,20494,7859,2124,315,26039,22906] 126.57/124.70 26196. ($false = $true) | ($false = rel_s4 @ X7 @ X8) | ($false = rel_s4 @ X8 @ sK18) | ($false != rel_s4 @ X7 @ sK23) | ($false = rel_s4 @ sK18 @ X9) | ($false = rel_s4 @ X9 @ X7) <- {335} [superposition 12439,253] 126.57/124.70 26221. ($false = $true) | ($false = rel_s4 @ sK31 @ X249) | ($false = rel_s4 @ X249 @ sK18) | ($false != rel_s4 @ sK31 @ sK23) <- {314, 335} [superposition 12439,4349] 126.57/124.70 26222. ($false = $true) | ($false = rel_s4 @ sK31 @ X250) | ($false = rel_s4 @ X250 @ sK18) | ($false != rel_s4 @ sK31 @ sK23) | ($false = rel_s4 @ sK18 @ X251) | ($false = rel_s4 @ X251 @ sK18) | ($false = rel_s4 @ sK18 @ sK18) <- {314, 335} [superposition 12439,12437] 126.57/124.70 26223. ($false = $true) | ($false = rel_s4 @ sK31 @ X252) | ($false = rel_s4 @ X252 @ sK18) | ($false != rel_s4 @ sK31 @ sK23) | ($false = rel_s4 @ sK18 @ X253) | ($false = rel_s4 @ X253 @ sK18) | ($false = rel_s4 @ sK18 @ sK18) <- {314, 335} [superposition 12439,12147] 126.57/124.70 26224. ($false = $true) | ($false = rel_s4 @ sK31 @ X254) | ($false = rel_s4 @ X254 @ sK18) | ($false != rel_s4 @ sK31 @ sK23) | ($false = rel_s4 @ sK18 @ sK18) | ($false = rel_s4 @ sK18 @ sK18) <- {314, 335} [superposition 12439,11102] 126.57/124.70 26225. ($false = $true) | ($false = rel_s4 @ sK34 @ X255) | ($false = rel_s4 @ X255 @ sK18) | ($false != rel_s4 @ sK34 @ sK23) <- {335, 558} [superposition 12439,7332] 126.57/124.70 26227. ($false = $true) | ($false = rel_s4 @ sK18 @ X7) | ($false = rel_s4 @ X7 @ X6) | ($false = rel_s4 @ X6 @ X8) | ($false = rel_s4 @ X8 @ sK18) | ($false != rel_s4 @ X6 @ sK23) <- {335} [superposition 253,12439] 126.57/124.70 26308. ($false = $true) | ($false = rel_s4 @ sK31 @ X452) | ($false = rel_s4 @ X452 @ sK18) | ($false != rel_s4 @ sK31 @ sK23) <- {314, 335} [superposition 4349,12439] 126.57/124.70 26309. ($false = vOR_37 @ (vNOT_33 @ $false) @ (big_r @ sK25 @ sK31)) | ($false = rel_s4 @ sK31 @ X453) | ($false = rel_s4 @ X453 @ sK18) | ($false != rel_s4 @ sK31 @ sK23) <- {116, 335} [superposition 2224,12439] 126.57/124.70 26310. ($false = $true) | ($false = rel_s4 @ sK18 @ X454) | ($false = rel_s4 @ X454 @ sK18) | ($false = rel_s4 @ sK18 @ sK18) | ($false = rel_s4 @ sK31 @ X455) | ($false = rel_s4 @ X455 @ sK18) | ($false != rel_s4 @ sK31 @ sK23) <- {314, 335} [superposition 12437,12439] 126.57/124.70 26311. ($false = $true) | ($false = rel_s4 @ sK18 @ X456) | ($false = rel_s4 @ X456 @ sK18) | ($false = rel_s4 @ sK18 @ sK18) | ($false = rel_s4 @ sK31 @ X457) | ($false = rel_s4 @ X457 @ sK18) | ($false != rel_s4 @ sK31 @ sK23) <- {314, 335} [superposition 12147,12439] 126.57/124.70 26312. ($false = vOR_37 @ (vNOT_33 @ $false) @ $false) | ($false = rel_s4 @ sK18 @ sK18) | ($false = rel_s4 @ sK18 @ sK18) | ($false = rel_s4 @ sK31 @ X458) | ($false = rel_s4 @ X458 @ sK18) | ($false != rel_s4 @ sK31 @ sK23) <- {116, 316, 335} [superposition 11244,12439] 126.57/124.70 26313. ($false = $true) | ($false = rel_s4 @ sK18 @ sK18) | ($false = rel_s4 @ sK18 @ sK18) | ($false = rel_s4 @ sK31 @ X459) | ($false = rel_s4 @ X459 @ sK18) | ($false != rel_s4 @ sK31 @ sK23) <- {314, 335} [superposition 11102,12439] 126.57/124.70 26315. ($false = $true) | ($false = rel_s4 @ sK34 @ X461) | ($false = rel_s4 @ X461 @ sK18) | ($false != rel_s4 @ sK34 @ sK23) <- {335, 558} [superposition 7332,12439] 126.57/124.70 26316. ($false = vOR_37 @ (vNOT_33 @ $false) @ (big_r @ sK25 @ sK34)) | ($false = rel_s4 @ sK34 @ X462) | ($false = rel_s4 @ X462 @ sK18) | ($false != rel_s4 @ sK34 @ sK23) <- {330, 335} [superposition 4409,12439] 126.57/124.70 26317. ($false = vOR_37 @ (vNOT_33 @ $false) @ $false) | ($false = rel_s4 @ sK18 @ sK18) | ($false = rel_s4 @ sK18 @ sK18) | ($false = rel_s4 @ sK34 @ X463) | ($false = rel_s4 @ X463 @ sK18) | ($false != rel_s4 @ sK34 @ sK23) <- {330, 335, 560} [superposition 11249,12439] 126.57/124.70 26324. ($false = vOR_37 @ (vNOT_33 @ $false) @ $false) | ($false = rel_s4 @ sK18 @ sK18) | ($false = rel_s4 @ sK34 @ X463) | ($false = rel_s4 @ X463 @ sK18) | ($false != rel_s4 @ sK34 @ sK23) <- {330, 335, 560} [duplicate literal removal 26317] 126.57/124.70 26325. ($false = $true) | ($false = rel_s4 @ sK18 @ sK18) | ($false = rel_s4 @ sK31 @ X459) | ($false = rel_s4 @ X459 @ sK18) | ($false != rel_s4 @ sK31 @ sK23) <- {314, 335} [duplicate literal removal 26313] 126.57/124.70 26326. ($false = vOR_37 @ (vNOT_33 @ $false) @ $false) | ($false = rel_s4 @ sK18 @ sK18) | ($false = rel_s4 @ sK31 @ X458) | ($false = rel_s4 @ X458 @ sK18) | ($false != rel_s4 @ sK31 @ sK23) <- {116, 316, 335} [duplicate literal removal 26312] 126.57/124.70 26340. ($false = $true) | ($false = rel_s4 @ sK31 @ X254) | ($false = rel_s4 @ X254 @ sK18) | ($false != rel_s4 @ sK31 @ sK23) | ($false = rel_s4 @ sK18 @ sK18) <- {314, 335} [duplicate literal removal 26224] 126.57/124.70 26344. 1466 <=> ! [X9,X7,X8] : (($false = rel_s4 @ X7 @ X8) | ($false = rel_s4 @ sK18 @ X9) | ($false = rel_s4 @ X9 @ X7) | ($false != rel_s4 @ X7 @ sK23) | ($false = rel_s4 @ X8 @ sK18)) [avatar definition] 126.57/124.70 26346. 1466 | 0 | 335 [avatar split clause 26196,4443,315,26344] 126.57/124.70 26348. 1468 <=> ! [X249] : (($false = rel_s4 @ sK31 @ X249) | ($false = rel_s4 @ X249 @ sK18)) [avatar definition] 126.57/124.70 26350. ~1219 | 1468 | 0 | ~314 | 335 [avatar split clause 26221,4443,4348,315,26348,20830] 126.57/124.70 26351. ($false = $true) | ($false = $true) | ($false = rel_s4 @ sK31 @ X250) | ($false = rel_s4 @ X250 @ sK18) | ($false != rel_s4 @ sK31 @ sK23) | ($false = rel_s4 @ sK18 @ X251) | ($false = rel_s4 @ X251 @ sK18) <- {314, 335} [forward demodulation 26222,258] 126.57/124.70 26352. ($false = $true) | ($false = rel_s4 @ sK31 @ X250) | ($false = rel_s4 @ X250 @ sK18) | ($false != rel_s4 @ sK31 @ sK23) | ($false = rel_s4 @ sK18 @ X251) | ($false = rel_s4 @ X251 @ sK18) <- {314, 335} [duplicate literal removal 26351] 126.57/124.70 26353. 1438 | ~1219 | 1468 | 0 | ~314 | 335 [avatar split clause 26352,4443,4348,315,26348,20830,25101] 126.57/124.70 26354. ($false = $true) | ($false = $true) | ($false = rel_s4 @ sK31 @ X252) | ($false = rel_s4 @ X252 @ sK18) | ($false != rel_s4 @ sK31 @ sK23) | ($false = rel_s4 @ sK18 @ X253) | ($false = rel_s4 @ X253 @ sK18) <- {314, 335} [forward demodulation 26223,258] 126.57/124.70 26355. ($false = $true) | ($false = rel_s4 @ sK31 @ X252) | ($false = rel_s4 @ X252 @ sK18) | ($false != rel_s4 @ sK31 @ sK23) | ($false = rel_s4 @ sK18 @ X253) | ($false = rel_s4 @ X253 @ sK18) <- {314, 335} [duplicate literal removal 26354] 126.57/124.70 26356. 1438 | ~1219 | 1468 | 0 | ~314 | 335 [avatar split clause 26355,4443,4348,315,26348,20830,25101] 126.57/124.70 26357. ($false = $true) | ($false = $true) | ($false = rel_s4 @ sK31 @ X254) | ($false = rel_s4 @ X254 @ sK18) | ($false != rel_s4 @ sK31 @ sK23) <- {314, 335} [forward demodulation 26340,258] 126.57/124.70 26358. ($false = $true) | ($false = rel_s4 @ sK31 @ X254) | ($false = rel_s4 @ X254 @ sK18) | ($false != rel_s4 @ sK31 @ sK23) <- {314, 335} [duplicate literal removal 26357] 126.57/124.70 26359. ~1219 | 1468 | 0 | ~314 | 335 [avatar split clause 26358,4443,4348,315,26348,20830] 126.57/124.70 26361. 1470 <=> ! [X255] : (($false = rel_s4 @ sK34 @ X255) | ($false = rel_s4 @ X255 @ sK18)) [avatar definition] 126.57/124.70 26363. ~1275 | 1470 | 0 | 335 | ~558 [avatar split clause 26225,7331,4443,315,26361,21761] 126.57/124.70 26364. 1466 | 0 | 335 [avatar split clause 26227,4443,315,26344] 126.57/124.70 26365. ~1219 | 1468 | 0 | ~314 | 335 [avatar split clause 26308,4443,4348,315,26348,20830] 126.57/124.70 26366. ($false = vOR_37 @ (vNOT_33 @ $false) @ $false) | ($false = rel_s4 @ sK31 @ X453) | ($false = rel_s4 @ X453 @ sK18) | ($false != rel_s4 @ sK31 @ sK23) <- {116, 316, 335} [forward demodulation 26309,4356] 126.57/124.70 26367. ($false != $false) | ($false = vOR_37 @ (vNOT_33 @ $false) @ $false) | ($false = rel_s4 @ sK31 @ X453) | ($false = rel_s4 @ X453 @ sK18) <- {116, 316, 335, 1218} [forward demodulation 26366,20834] 126.57/124.70 26368. ($false = vOR_37 @ (vNOT_33 @ $false) @ $false) | ($false = rel_s4 @ sK31 @ X453) | ($false = rel_s4 @ X453 @ sK18) <- {116, 316, 335, 1218} [trivial inequality removal 26367] 126.57/124.70 26369. 1468 | 252 | ~116 | ~316 | 335 | ~1218 [avatar split clause 26368,20833,4443,4355,2223,4084,26348] 126.57/124.70 26370. ($false = $true) | ($false = $true) | ($false = rel_s4 @ sK18 @ X454) | ($false = rel_s4 @ X454 @ sK18) | ($false = rel_s4 @ sK31 @ X455) | ($false = rel_s4 @ X455 @ sK18) | ($false != rel_s4 @ sK31 @ sK23) <- {314, 335} [forward demodulation 26310,258] 126.57/124.70 26371. ($false = $true) | ($false = rel_s4 @ sK18 @ X454) | ($false = rel_s4 @ X454 @ sK18) | ($false = rel_s4 @ sK31 @ X455) | ($false = rel_s4 @ X455 @ sK18) | ($false != rel_s4 @ sK31 @ sK23) <- {314, 335} [duplicate literal removal 26370] 126.57/124.70 26372. ~1219 | 1468 | 1438 | 0 | ~314 | 335 [avatar split clause 26371,4443,4348,315,25101,26348,20830] 126.57/124.70 26373. ($false = $true) | ($false = $true) | ($false = rel_s4 @ sK18 @ X456) | ($false = rel_s4 @ X456 @ sK18) | ($false = rel_s4 @ sK31 @ X457) | ($false = rel_s4 @ X457 @ sK18) | ($false != rel_s4 @ sK31 @ sK23) <- {314, 335} [forward demodulation 26311,258] 126.57/124.70 26374. ($false = $true) | ($false = rel_s4 @ sK18 @ X456) | ($false = rel_s4 @ X456 @ sK18) | ($false = rel_s4 @ sK31 @ X457) | ($false = rel_s4 @ X457 @ sK18) | ($false != rel_s4 @ sK31 @ sK23) <- {314, 335} [duplicate literal removal 26373] 126.57/124.70 26375. ~1219 | 1468 | 1438 | 0 | ~314 | 335 [avatar split clause 26374,4443,4348,315,25101,26348,20830] 126.57/124.70 26376. ($false = $true) | ($false = vOR_37 @ (vNOT_33 @ $false) @ $false) | ($false = rel_s4 @ sK31 @ X458) | ($false = rel_s4 @ X458 @ sK18) | ($false != rel_s4 @ sK31 @ sK23) <- {116, 316, 335} [forward demodulation 26326,258] 126.57/124.70 26377. ($false != $false) | ($false = $true) | ($false = vOR_37 @ (vNOT_33 @ $false) @ $false) | ($false = rel_s4 @ sK31 @ X458) | ($false = rel_s4 @ X458 @ sK18) <- {116, 316, 335, 1218} [forward demodulation 26376,20834] 126.57/124.70 26378. ($false = $true) | ($false = vOR_37 @ (vNOT_33 @ $false) @ $false) | ($false = rel_s4 @ sK31 @ X458) | ($false = rel_s4 @ X458 @ sK18) <- {116, 316, 335, 1218} [trivial inequality removal 26377] 126.57/124.70 26379. 1468 | 252 | 0 | ~116 | ~316 | 335 | ~1218 [avatar split clause 26378,20833,4443,4355,2223,315,4084,26348] 126.57/124.70 26380. ($false = $true) | ($false = $true) | ($false = rel_s4 @ sK31 @ X459) | ($false = rel_s4 @ X459 @ sK18) | ($false != rel_s4 @ sK31 @ sK23) <- {314, 335} [forward demodulation 26325,258] 126.57/124.70 26381. ($false = $true) | ($false = rel_s4 @ sK31 @ X459) | ($false = rel_s4 @ X459 @ sK18) | ($false != rel_s4 @ sK31 @ sK23) <- {314, 335} [duplicate literal removal 26380] 126.57/124.70 26382. ~1219 | 1468 | 0 | ~314 | 335 [avatar split clause 26381,4443,4348,315,26348,20830] 126.57/124.70 26383. ~1275 | 1470 | 0 | 335 | ~558 [avatar split clause 26315,7331,4443,315,26361,21761] 126.57/124.70 26384. ($false = vOR_37 @ (vNOT_33 @ $false) @ $false) | ($false = rel_s4 @ sK34 @ X462) | ($false = rel_s4 @ X462 @ sK18) | ($false != rel_s4 @ sK34 @ sK23) <- {330, 335, 560} [forward demodulation 26316,7339] 126.57/124.70 26385. ($false != $false) | ($false = vOR_37 @ (vNOT_33 @ $false) @ $false) | ($false = rel_s4 @ sK34 @ X462) | ($false = rel_s4 @ X462 @ sK18) <- {330, 335, 560, 1274} [forward demodulation 26384,21765] 126.57/124.70 26386. ($false = vOR_37 @ (vNOT_33 @ $false) @ $false) | ($false = rel_s4 @ sK34 @ X462) | ($false = rel_s4 @ X462 @ sK18) <- {330, 335, 560, 1274} [trivial inequality removal 26385] 126.57/124.70 26387. 1470 | 252 | ~330 | 335 | ~560 | ~1274 [avatar split clause 26386,21764,7338,4443,4408,4084,26361] 126.57/124.70 26388. ($false = $true) | ($false = vOR_37 @ (vNOT_33 @ $false) @ $false) | ($false = rel_s4 @ sK34 @ X463) | ($false = rel_s4 @ X463 @ sK18) | ($false != rel_s4 @ sK34 @ sK23) <- {330, 335, 560} [forward demodulation 26324,258] 126.57/124.70 26389. ($false != $false) | ($false = $true) | ($false = vOR_37 @ (vNOT_33 @ $false) @ $false) | ($false = rel_s4 @ sK34 @ X463) | ($false = rel_s4 @ X463 @ sK18) <- {330, 335, 560, 1274} [forward demodulation 26388,21765] 126.57/124.70 26390. ($false = $true) | ($false = vOR_37 @ (vNOT_33 @ $false) @ $false) | ($false = rel_s4 @ sK34 @ X463) | ($false = rel_s4 @ X463 @ sK18) <- {330, 335, 560, 1274} [trivial inequality removal 26389] 126.57/124.70 26391. 1470 | 252 | 0 | ~330 | 335 | ~560 | ~1274 [avatar split clause 26390,21764,7338,4443,4408,315,4084,26361] 126.57/124.70 26392. ~1219 | 1468 | 252 | 0 | ~116 | ~316 | 335 [avatar split clause 26376,4443,4355,2223,315,4084,26348,20830] 126.57/124.70 26393. ~1219 | 1468 | 252 | ~116 | ~316 | 335 [avatar split clause 26366,4443,4355,2223,4084,26348,20830] 126.57/124.70 26628. ($false = $true) | ($false = rel_s4 @ X10 @ X11) | ($false = rel_s4 @ X11 @ sK19) | ($false != rel_s4 @ X10 @ sK22) | ($false = rel_s4 @ sK19 @ X12) | ($false = rel_s4 @ X12 @ X10) <- {727} [superposition 12467,253] 126.57/124.70 26653. ($false = $true) | ($false = rel_s4 @ sK30 @ X253) | ($false = rel_s4 @ X253 @ sK19) | ($false != rel_s4 @ sK30 @ sK22) <- {300, 727} [superposition 12467,4301] 126.57/124.70 26654. ($false = $true) | ($false = rel_s4 @ sK30 @ X254) | ($false = rel_s4 @ X254 @ sK19) | ($false != rel_s4 @ sK30 @ sK22) | ($false = rel_s4 @ sK19 @ X255) | ($false = rel_s4 @ X255 @ sK19) | ($false = rel_s4 @ sK19 @ sK19) <- {300, 727} [superposition 12467,12463] 126.57/124.70 26655. ($false = $true) | ($false = rel_s4 @ sK30 @ X256) | ($false = rel_s4 @ X256 @ sK19) | ($false != rel_s4 @ sK30 @ sK22) | ($false = rel_s4 @ sK19 @ X257) | ($false = rel_s4 @ X257 @ sK19) | ($false = rel_s4 @ sK19 @ sK19) <- {300, 727} [superposition 12467,12173] 126.57/124.70 26656. ($false = $true) | ($false = rel_s4 @ sK30 @ X258) | ($false = rel_s4 @ X258 @ sK19) | ($false != rel_s4 @ sK30 @ sK22) | ($false = rel_s4 @ sK19 @ sK19) | ($false = rel_s4 @ sK19 @ sK19) <- {300, 727} [superposition 12467,10864] 126.57/124.70 26660. ($false = $true) | ($false = rel_s4 @ sK33 @ X264) | ($false = rel_s4 @ X264 @ sK19) | ($false != rel_s4 @ sK33 @ sK22) <- {544, 727} [superposition 12467,7282] 126.57/124.70 26662. ($false = $true) | ($false = rel_s4 @ sK19 @ X10) | ($false = rel_s4 @ X10 @ X9) | ($false = rel_s4 @ X9 @ X11) | ($false = rel_s4 @ X11 @ sK19) | ($false != rel_s4 @ X9 @ sK22) <- {727} [superposition 253,12467] 126.57/124.70 26743. ($false = $true) | ($false = rel_s4 @ sK30 @ X456) | ($false = rel_s4 @ X456 @ sK19) | ($false != rel_s4 @ sK30 @ sK22) <- {300, 727} [superposition 4301,12467] 126.57/124.70 26744. ($false = vOR_37 @ (vNOT_33 @ $false) @ (big_q @ sK24 @ sK30)) | ($false = rel_s4 @ sK30 @ X457) | ($false = rel_s4 @ X457 @ sK19) | ($false != rel_s4 @ sK30 @ sK22) <- {108, 727} [superposition 2193,12467] 126.57/124.70 26745. ($false = $true) | ($false = rel_s4 @ sK19 @ X458) | ($false = rel_s4 @ X458 @ sK19) | ($false = rel_s4 @ sK19 @ sK19) | ($false = rel_s4 @ sK30 @ X459) | ($false = rel_s4 @ X459 @ sK19) | ($false != rel_s4 @ sK30 @ sK22) <- {300, 727} [superposition 12463,12467] 126.57/124.70 26746. ($false = $true) | ($false = rel_s4 @ sK19 @ X460) | ($false = rel_s4 @ X460 @ sK19) | ($false = rel_s4 @ sK19 @ sK19) | ($false = rel_s4 @ sK30 @ X461) | ($false = rel_s4 @ X461 @ sK19) | ($false != rel_s4 @ sK30 @ sK22) <- {300, 727} [superposition 12173,12467] 126.57/124.70 26747. ($false = vOR_37 @ (vNOT_33 @ $false) @ $false) | ($false = rel_s4 @ sK19 @ sK19) | ($false = rel_s4 @ sK19 @ sK19) | ($false = rel_s4 @ sK30 @ X462) | ($false = rel_s4 @ X462 @ sK19) | ($false != rel_s4 @ sK30 @ sK22) <- {108, 302, 727} [superposition 11212,12467] 126.57/124.70 26748. ($false = $true) | ($false = rel_s4 @ sK19 @ sK19) | ($false = rel_s4 @ sK19 @ sK19) | ($false = rel_s4 @ sK30 @ X463) | ($false = rel_s4 @ X463 @ sK19) | ($false != rel_s4 @ sK30 @ sK22) <- {300, 727} [superposition 10864,12467] 126.57/124.70 26753. ($false = $true) | ($false = rel_s4 @ sK33 @ X470) | ($false = rel_s4 @ X470 @ sK19) | ($false != rel_s4 @ sK33 @ sK22) <- {544, 727} [superposition 7282,12467] 126.57/124.70 26754. ($false = vOR_37 @ (vNOT_33 @ $false) @ (big_q @ sK24 @ sK33)) | ($false = rel_s4 @ sK33 @ X471) | ($false = rel_s4 @ X471 @ sK19) | ($false != rel_s4 @ sK33 @ sK22) <- {328, 727} [superposition 4396,12467] 126.57/124.70 26755. ($false = vOR_37 @ (vNOT_33 @ $false) @ $false) | ($false = rel_s4 @ sK19 @ sK19) | ($false = rel_s4 @ sK19 @ sK19) | ($false = rel_s4 @ sK33 @ X472) | ($false = rel_s4 @ X472 @ sK19) | ($false != rel_s4 @ sK33 @ sK22) <- {328, 546, 727} [superposition 11213,12467] 126.57/124.70 26763. ($false = vOR_37 @ (vNOT_33 @ $false) @ $false) | ($false = rel_s4 @ sK19 @ sK19) | ($false = rel_s4 @ sK33 @ X472) | ($false = rel_s4 @ X472 @ sK19) | ($false != rel_s4 @ sK33 @ sK22) <- {328, 546, 727} [duplicate literal removal 26755] 126.57/124.70 26764. ($false = $true) | ($false = rel_s4 @ sK19 @ sK19) | ($false = rel_s4 @ sK30 @ X463) | ($false = rel_s4 @ X463 @ sK19) | ($false != rel_s4 @ sK30 @ sK22) <- {300, 727} [duplicate literal removal 26748] 126.57/124.70 26765. ($false = vOR_37 @ (vNOT_33 @ $false) @ $false) | ($false = rel_s4 @ sK19 @ sK19) | ($false = rel_s4 @ sK30 @ X462) | ($false = rel_s4 @ X462 @ sK19) | ($false != rel_s4 @ sK30 @ sK22) <- {108, 302, 727} [duplicate literal removal 26747] 126.57/124.70 26780. ($false = $true) | ($false = rel_s4 @ sK30 @ X258) | ($false = rel_s4 @ X258 @ sK19) | ($false != rel_s4 @ sK30 @ sK22) | ($false = rel_s4 @ sK19 @ sK19) <- {300, 727} [duplicate literal removal 26656] 126.57/124.70 26784. 1472 <=> ! [X11,X10,X12] : (($false = rel_s4 @ X10 @ X11) | ($false = rel_s4 @ sK19 @ X12) | ($false = rel_s4 @ X12 @ X10) | ($false != rel_s4 @ X10 @ sK22) | ($false = rel_s4 @ X11 @ sK19)) [avatar definition] 126.57/124.70 26786. 1472 | 0 | 727 [avatar split clause 26628,9309,315,26784] 126.57/124.70 26788. 1474 <=> ! [X253] : (($false = rel_s4 @ sK30 @ X253) | ($false = rel_s4 @ X253 @ sK19)) [avatar definition] 126.57/124.70 26790. ~1361 | 1474 | 0 | ~300 | 727 [avatar split clause 26653,9309,4300,315,26788,22788] 126.57/124.70 26791. ($false = $true) | ($false = $true) | ($false = rel_s4 @ sK30 @ X254) | ($false = rel_s4 @ X254 @ sK19) | ($false != rel_s4 @ sK30 @ sK22) | ($false = rel_s4 @ sK19 @ X255) | ($false = rel_s4 @ X255 @ sK19) <- {300, 727} [forward demodulation 26654,258] 126.57/124.70 26792. ($false = $true) | ($false = rel_s4 @ sK30 @ X254) | ($false = rel_s4 @ X254 @ sK19) | ($false != rel_s4 @ sK30 @ sK22) | ($false = rel_s4 @ sK19 @ X255) | ($false = rel_s4 @ X255 @ sK19) <- {300, 727} [duplicate literal removal 26791] 126.57/124.70 26793. 1448 | ~1361 | 1474 | 0 | ~300 | 727 [avatar split clause 26792,9309,4300,315,26788,22788,25519] 126.57/124.70 26794. ($false = $true) | ($false = $true) | ($false = rel_s4 @ sK30 @ X256) | ($false = rel_s4 @ X256 @ sK19) | ($false != rel_s4 @ sK30 @ sK22) | ($false = rel_s4 @ sK19 @ X257) | ($false = rel_s4 @ X257 @ sK19) <- {300, 727} [forward demodulation 26655,258] 126.57/124.70 26795. ($false = $true) | ($false = rel_s4 @ sK30 @ X256) | ($false = rel_s4 @ X256 @ sK19) | ($false != rel_s4 @ sK30 @ sK22) | ($false = rel_s4 @ sK19 @ X257) | ($false = rel_s4 @ X257 @ sK19) <- {300, 727} [duplicate literal removal 26794] 126.57/124.70 26796. 1448 | ~1361 | 1474 | 0 | ~300 | 727 [avatar split clause 26795,9309,4300,315,26788,22788,25519] 126.57/124.70 26797. ($false = $true) | ($false = $true) | ($false = rel_s4 @ sK30 @ X258) | ($false = rel_s4 @ X258 @ sK19) | ($false != rel_s4 @ sK30 @ sK22) <- {300, 727} [forward demodulation 26780,258] 126.57/124.70 26798. ($false = $true) | ($false = rel_s4 @ sK30 @ X258) | ($false = rel_s4 @ X258 @ sK19) | ($false != rel_s4 @ sK30 @ sK22) <- {300, 727} [duplicate literal removal 26797] 126.57/124.70 26799. ~1361 | 1474 | 0 | ~300 | 727 [avatar split clause 26798,9309,4300,315,26788,22788] 126.57/124.70 26801. 1476 <=> ! [X264] : (($false = rel_s4 @ sK33 @ X264) | ($false = rel_s4 @ X264 @ sK19)) [avatar definition] 126.57/124.70 26803. ~1365 | 1476 | 0 | ~544 | 727 [avatar split clause 26660,9309,7281,315,26801,22804] 126.57/124.70 26804. 1472 | 0 | 727 [avatar split clause 26662,9309,315,26784] 126.57/124.70 26805. ~1361 | 1474 | 0 | ~300 | 727 [avatar split clause 26743,9309,4300,315,26788,22788] 126.57/124.70 26806. ($false = vOR_37 @ (vNOT_33 @ $false) @ $false) | ($false = rel_s4 @ sK30 @ X457) | ($false = rel_s4 @ X457 @ sK19) | ($false != rel_s4 @ sK30 @ sK22) <- {108, 302, 727} [forward demodulation 26744,4308] 126.57/124.70 26807. ($false != $false) | ($false = vOR_37 @ (vNOT_33 @ $false) @ $false) | ($false = rel_s4 @ sK30 @ X457) | ($false = rel_s4 @ X457 @ sK19) <- {108, 302, 727, 1360} [forward demodulation 26806,22786] 126.57/124.70 26808. ($false = vOR_37 @ (vNOT_33 @ $false) @ $false) | ($false = rel_s4 @ sK30 @ X457) | ($false = rel_s4 @ X457 @ sK19) <- {108, 302, 727, 1360} [trivial inequality removal 26807] 126.57/124.70 26809. 1474 | 252 | ~108 | ~302 | 727 | ~1360 [avatar split clause 26808,22785,9309,4307,2192,4084,26788] 126.57/124.70 26810. ($false = $true) | ($false = $true) | ($false = rel_s4 @ sK19 @ X458) | ($false = rel_s4 @ X458 @ sK19) | ($false = rel_s4 @ sK30 @ X459) | ($false = rel_s4 @ X459 @ sK19) | ($false != rel_s4 @ sK30 @ sK22) <- {300, 727} [forward demodulation 26745,258] 126.57/124.70 26811. ($false = $true) | ($false = rel_s4 @ sK19 @ X458) | ($false = rel_s4 @ X458 @ sK19) | ($false = rel_s4 @ sK30 @ X459) | ($false = rel_s4 @ X459 @ sK19) | ($false != rel_s4 @ sK30 @ sK22) <- {300, 727} [duplicate literal removal 26810] 126.57/124.70 26812. ~1361 | 1474 | 1448 | 0 | ~300 | 727 [avatar split clause 26811,9309,4300,315,25519,26788,22788] 126.57/124.70 26813. ($false = $true) | ($false = $true) | ($false = rel_s4 @ sK19 @ X460) | ($false = rel_s4 @ X460 @ sK19) | ($false = rel_s4 @ sK30 @ X461) | ($false = rel_s4 @ X461 @ sK19) | ($false != rel_s4 @ sK30 @ sK22) <- {300, 727} [forward demodulation 26746,258] 126.57/124.70 26814. ($false = $true) | ($false = rel_s4 @ sK19 @ X460) | ($false = rel_s4 @ X460 @ sK19) | ($false = rel_s4 @ sK30 @ X461) | ($false = rel_s4 @ X461 @ sK19) | ($false != rel_s4 @ sK30 @ sK22) <- {300, 727} [duplicate literal removal 26813] 126.57/124.70 26815. ~1361 | 1474 | 1448 | 0 | ~300 | 727 [avatar split clause 26814,9309,4300,315,25519,26788,22788] 126.57/124.70 26816. ($false = $true) | ($false = vOR_37 @ (vNOT_33 @ $false) @ $false) | ($false = rel_s4 @ sK30 @ X462) | ($false = rel_s4 @ X462 @ sK19) | ($false != rel_s4 @ sK30 @ sK22) <- {108, 302, 727} [forward demodulation 26765,258] 126.57/124.70 26817. ($false != $false) | ($false = $true) | ($false = vOR_37 @ (vNOT_33 @ $false) @ $false) | ($false = rel_s4 @ sK30 @ X462) | ($false = rel_s4 @ X462 @ sK19) <- {108, 302, 727, 1360} [forward demodulation 26816,22786] 126.57/124.70 26818. ($false = $true) | ($false = vOR_37 @ (vNOT_33 @ $false) @ $false) | ($false = rel_s4 @ sK30 @ X462) | ($false = rel_s4 @ X462 @ sK19) <- {108, 302, 727, 1360} [trivial inequality removal 26817] 126.57/124.70 26819. 1474 | 252 | 0 | ~108 | ~302 | 727 | ~1360 [avatar split clause 26818,22785,9309,4307,2192,315,4084,26788] 126.57/124.70 26820. ($false = $true) | ($false = $true) | ($false = rel_s4 @ sK30 @ X463) | ($false = rel_s4 @ X463 @ sK19) | ($false != rel_s4 @ sK30 @ sK22) <- {300, 727} [forward demodulation 26764,258] 126.57/124.70 26821. ($false = $true) | ($false = rel_s4 @ sK30 @ X463) | ($false = rel_s4 @ X463 @ sK19) | ($false != rel_s4 @ sK30 @ sK22) <- {300, 727} [duplicate literal removal 26820] 126.57/124.70 26822. ~1361 | 1474 | 0 | ~300 | 727 [avatar split clause 26821,9309,4300,315,26788,22788] 126.57/124.70 26823. ~1365 | 1476 | 0 | ~544 | 727 [avatar split clause 26753,9309,7281,315,26801,22804] 126.57/124.70 26824. ($false = vOR_37 @ (vNOT_33 @ $false) @ $false) | ($false = rel_s4 @ sK33 @ X471) | ($false = rel_s4 @ X471 @ sK19) | ($false != rel_s4 @ sK33 @ sK22) <- {328, 546, 727} [forward demodulation 26754,7289] 126.57/124.70 26825. ($false != $false) | ($false = vOR_37 @ (vNOT_33 @ $false) @ $false) | ($false = rel_s4 @ sK33 @ X471) | ($false = rel_s4 @ X471 @ sK19) <- {328, 546, 727, 1364} [forward demodulation 26824,22802] 126.57/124.70 26826. ($false = vOR_37 @ (vNOT_33 @ $false) @ $false) | ($false = rel_s4 @ sK33 @ X471) | ($false = rel_s4 @ X471 @ sK19) <- {328, 546, 727, 1364} [trivial inequality removal 26825] 126.57/124.70 26827. 1476 | 252 | ~328 | ~546 | 727 | ~1364 [avatar split clause 26826,22801,9309,7288,4395,4084,26801] 126.57/124.70 26828. ($false = $true) | ($false = vOR_37 @ (vNOT_33 @ $false) @ $false) | ($false = rel_s4 @ sK33 @ X472) | ($false = rel_s4 @ X472 @ sK19) | ($false != rel_s4 @ sK33 @ sK22) <- {328, 546, 727} [forward demodulation 26763,258] 126.57/124.70 26829. ($false != $false) | ($false = $true) | ($false = vOR_37 @ (vNOT_33 @ $false) @ $false) | ($false = rel_s4 @ sK33 @ X472) | ($false = rel_s4 @ X472 @ sK19) <- {328, 546, 727, 1364} [forward demodulation 26828,22802] 126.57/124.70 26830. ($false = $true) | ($false = vOR_37 @ (vNOT_33 @ $false) @ $false) | ($false = rel_s4 @ sK33 @ X472) | ($false = rel_s4 @ X472 @ sK19) <- {328, 546, 727, 1364} [trivial inequality removal 26829] 126.57/124.70 26831. 1476 | 252 | 0 | ~328 | ~546 | 727 | ~1364 [avatar split clause 26830,22801,9309,7288,4395,315,4084,26801] 126.57/124.70 26832. ($false = $true) | ($false = rel_s4 @ X3 @ sK19) | ($false = rel_s4 @ sK13 @ X3) | ($false = rel_s4 @ X3 @ sK28) | ($true != rel_s4 @ X4 @ X3) | ($true != exists_in_world @ sK20 @ X4) <- {1238} [superposition 21145,206] 126.57/124.70 26833. ($false = $true) | ($false = rel_s4 @ sK19 @ sK19) | ($false = rel_s4 @ sK13 @ sK19) | ($false = rel_s4 @ sK19 @ sK28) <- {50, 1238} [superposition 21145,1297] 126.57/124.70 26838. ($false = $true) | ($true != rel_s4 @ X3 @ X2) | ($true != exists_in_world @ sK20 @ X3) | ($false = rel_s4 @ X2 @ sK19) | ($false = rel_s4 @ sK13 @ X2) | ($false = rel_s4 @ X2 @ sK28) <- {1238} [superposition 206,21145] 126.57/124.70 26855. ($false = $true) | ($false = rel_s4 @ sK19 @ sK19) | ($false = rel_s4 @ sK13 @ sK19) | ($false = rel_s4 @ sK19 @ sK28) <- {50, 1238} [superposition 1297,21145] 126.57/124.70 26856. ($false = vIMP_37 @ $false @ (vPI_16 @ (sCOMB_41 @ (bCOMB_40 @ vOR_37 @ (bCOMB_34 @ vNOT_33 @ (rel_s4 @ sK19))) @ (big_q @ sK20)))) | ($false = rel_s4 @ sK19 @ sK19) | ($false = rel_s4 @ sK13 @ sK19) | ($false = rel_s4 @ sK19 @ sK28) <- {28, 1238} [superposition 806,21145] 126.57/124.70 26861. ($false = $true) | ($false = rel_s4 @ sK19 @ sK19) | ($false = rel_s4 @ sK13 @ sK19) | ($false = rel_s4 @ sK19 @ sK28) <- {28, 1238} [HOL short circuit evaluation 26856] 126.57/124.70 26872. 1478 <=> ! [X3,X4] : (($false = rel_s4 @ X3 @ sK19) | ($true != exists_in_world @ sK20 @ X4) | ($true != rel_s4 @ X4 @ X3) | ($false = rel_s4 @ X3 @ sK28) | ($false = rel_s4 @ sK13 @ X3)) [avatar definition] 126.57/124.70 26874. 1478 | 0 | ~1238 [avatar split clause 26832,21144,315,26872] 126.57/124.70 26875. ($false = $true) | ($false = $true) | ($false = rel_s4 @ sK13 @ sK19) | ($false = rel_s4 @ sK19 @ sK28) <- {50, 1238} [forward demodulation 26833,258] 126.57/124.70 26876. ($false = $true) | ($false = rel_s4 @ sK13 @ sK19) | ($false = rel_s4 @ sK19 @ sK28) <- {50, 1238} [duplicate literal removal 26875] 126.57/124.70 26877. ($false = $true) | ($false = $true) | ($false = rel_s4 @ sK19 @ sK28) <- {26, 50, 1238} [forward demodulation 26876,799] 126.57/124.70 26878. ($false = $true) | ($false = rel_s4 @ sK19 @ sK28) <- {26, 50, 1238} [duplicate literal removal 26877] 126.57/124.70 26883. 1480 <=> ($false = rel_s4 @ sK19 @ sK28) [avatar definition] 126.57/124.70 26885. 1480 | 0 | ~26 | ~50 | ~1238 [avatar split clause 26878,21144,1296,798,315,26883] 126.57/124.70 26886. 1478 | 0 | ~1238 [avatar split clause 26838,21144,315,26872] 126.57/124.70 26887. ($false = $true) | ($false = $true) | ($false = rel_s4 @ sK13 @ sK19) | ($false = rel_s4 @ sK19 @ sK28) <- {50, 1238} [forward demodulation 26855,258] 126.57/124.70 26888. ($false = $true) | ($false = rel_s4 @ sK13 @ sK19) | ($false = rel_s4 @ sK19 @ sK28) <- {50, 1238} [duplicate literal removal 26887] 126.57/124.70 26889. ($false = $true) | ($false = $true) | ($false = rel_s4 @ sK19 @ sK28) <- {26, 50, 1238} [forward demodulation 26888,799] 126.57/124.70 26890. ($false = $true) | ($false = rel_s4 @ sK19 @ sK28) <- {26, 50, 1238} [duplicate literal removal 26889] 126.57/124.70 26891. 1480 | 0 | ~26 | ~50 | ~1238 [avatar split clause 26890,21144,1296,798,315,26883] 126.57/124.70 26892. ($false = $true) | ($false = $true) | ($false = rel_s4 @ sK13 @ sK19) | ($false = rel_s4 @ sK19 @ sK28) <- {28, 1238} [forward demodulation 26861,258] 126.57/124.70 26893. ($false = $true) | ($false = rel_s4 @ sK13 @ sK19) | ($false = rel_s4 @ sK19 @ sK28) <- {28, 1238} [duplicate literal removal 26892] 126.57/124.70 26894. ($false = $true) | ($false = $true) | ($false = rel_s4 @ sK19 @ sK28) <- {26, 28, 1238} [forward demodulation 26893,799] 126.57/124.70 26895. ($false = $true) | ($false = rel_s4 @ sK19 @ sK28) <- {26, 28, 1238} [duplicate literal removal 26894] 126.57/124.70 26896. 1480 | 0 | ~26 | ~28 | ~1238 [avatar split clause 26895,21144,805,798,315,26883] 126.57/124.70 26897. $false [avatar sat refutation 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126.57/124.70 % SZS output end Proof for theBenchmark 126.57/124.70 % ------------------------------ 126.57/124.70 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 126.57/124.70 % Termination reason: Refutation 126.57/124.70 126.57/124.70 % Memory used [KB]: 38250 126.57/124.70 % Time elapsed: 6.606 s 126.57/124.70 % ------------------------------ 126.57/124.70 % ------------------------------ 126.57/124.71 % Success in time 124.366 s 126.57/124.71 EOF