0.03/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.12 % Command : vampire_hol --schedule thf_2019 --mode portfolio --time_limit %ds %s 0.11/0.33 % Computer : n006.cluster.edu 0.11/0.33 % Model : x86_64 x86_64 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.33 % Memory : 8042.1875MB 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.11/0.33 % CPULimit : 180 0.11/0.33 % DateTime : Thu Aug 29 11:33:39 EDT 2019 0.11/0.33 % CPUTime : 0.19/0.40 % 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 1.54/1.70 % Time limit reached! 1.54/1.70 % ------------------------------ 1.54/1.70 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 1.54/1.70 % Termination reason: Time limit 1.54/1.70 % Termination phase: Saturation 1.54/1.70 1.54/1.70 % Memory used [KB]: 22771 1.54/1.70 % Time elapsed: 1.300 s 1.54/1.70 % ------------------------------ 1.54/1.70 % ------------------------------ 1.56/1.76 % 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 5.67/5.76 % Time limit reached! 5.67/5.76 % ------------------------------ 5.67/5.76 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 5.67/5.76 % Termination reason: Time limit 5.67/5.76 % Termination phase: Saturation 5.67/5.76 5.67/5.76 % Memory used [KB]: 35948 5.67/5.76 % Time elapsed: 4.0000 s 5.67/5.76 % ------------------------------ 5.67/5.76 % ------------------------------ 5.67/5.79 % 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 7.52/7.59 % Time limit reached! 7.52/7.59 % ------------------------------ 7.52/7.59 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 7.52/7.59 % Termination reason: Time limit 7.52/7.59 % Termination phase: Saturation 7.52/7.59 7.52/7.59 % Memory used [KB]: 30063 7.52/7.59 % Time elapsed: 1.800 s 7.52/7.59 % ------------------------------ 7.52/7.59 % ------------------------------ 7.54/7.65 % 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 8.08/8.14 % Time limit reached! 8.08/8.14 % ------------------------------ 8.08/8.14 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 8.08/8.14 % Termination reason: Time limit 8.08/8.14 % Termination phase: Saturation 8.08/8.14 8.08/8.14 % Memory used [KB]: 11129 8.08/8.15 % Time elapsed: 0.500 s 8.08/8.15 % ------------------------------ 8.08/8.15 % ------------------------------ 8.11/8.17 % 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 9.93/9.97 % Time limit reached! 9.93/9.97 % ------------------------------ 9.93/9.97 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 9.93/9.97 % Termination reason: Time limit 9.93/9.97 % Termination phase: Saturation 9.93/9.97 9.93/9.97 % Memory used [KB]: 35308 9.93/9.97 % Time elapsed: 1.800 s 9.93/9.97 % ------------------------------ 9.93/9.97 % ------------------------------ 9.93/10.00 % 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 10.42/10.50 % Time limit reached! 10.42/10.50 % ------------------------------ 10.42/10.50 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 10.42/10.50 % Termination reason: Time limit 10.42/10.50 % Termination phase: Saturation 10.42/10.50 10.42/10.50 % Memory used [KB]: 17782 10.42/10.50 % Time elapsed: 0.500 s 10.42/10.50 % ------------------------------ 10.42/10.50 % ------------------------------ 10.50/10.53 % 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 10.97/11.02 % Time limit reached! 10.97/11.02 % ------------------------------ 10.97/11.02 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 10.97/11.02 % Termination reason: Time limit 10.97/11.02 % Termination phase: Saturation 10.97/11.02 10.97/11.02 % Memory used [KB]: 11129 10.97/11.02 % Time elapsed: 0.500 s 10.97/11.02 % ------------------------------ 10.97/11.02 % ------------------------------ 11.04/11.05 % 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 41.71/41.25 % Time limit reached! 41.71/41.25 % ------------------------------ 41.71/41.25 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 41.71/41.25 % Termination reason: Time limit 41.71/41.25 % Termination phase: Saturation 41.71/41.25 41.71/41.25 % Memory used [KB]: 477049 41.71/41.25 % Time elapsed: 30.200 s 41.71/41.25 % ------------------------------ 41.71/41.25 % ------------------------------ 41.71/41.30 % 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 42.84/42.40 % Time limit reached! 42.84/42.40 % ------------------------------ 42.84/42.40 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 42.84/42.40 % Termination reason: Time limit 42.84/42.40 % Termination phase: Saturation 42.84/42.40 42.84/42.40 % Memory used [KB]: 13688 42.84/42.40 % Time elapsed: 1.100 s 42.84/42.40 % ------------------------------ 42.84/42.40 % ------------------------------ 42.84/42.42 % 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 43.36/42.92 % Time limit reached! 43.36/42.92 % ------------------------------ 43.36/42.92 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 43.36/42.92 % Termination reason: Time limit 43.36/42.92 % Termination phase: Saturation 43.36/42.92 43.36/42.92 % Memory used [KB]: 10874 43.36/42.92 % Time elapsed: 0.500 s 43.36/42.92 % ------------------------------ 43.36/42.92 % ------------------------------ 43.43/42.95 % 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 54.93/54.25 % Time limit reached! 54.93/54.25 % ------------------------------ 54.93/54.25 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 54.93/54.25 % Termination reason: Time limit 54.93/54.25 % Termination phase: Saturation 54.93/54.25 54.93/54.25 % Memory used [KB]: 108612 54.93/54.25 % Time elapsed: 11.300 s 54.93/54.25 % ------------------------------ 54.93/54.25 % ------------------------------ 54.93/54.28 % 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 81.29/80.21 % Refutation found. Thanks to Tanya! 81.29/80.21 % SZS status Theorem for theBenchmark 81.29/80.21 % SZS output start Proof for theBenchmark 81.29/80.21 1. ! [X0 : (a > (a > $o)),X1 : (a > (a > $o)),X2 : a,X3 : a] : (((! [X8 : a,X9 : a] : ((! [X4 : (a > $o)] : ((! [X7 : a] : (((X1 @ X8) @ X7) => (X4 @ X7)) & ! [X5 : a,X6 : a] : (((X4 @ X5) & ((X1 @ X5) @ X6)) => (X4 @ X6))) => (X4 @ X9)) | ! [X4 : (a > $o)] : ((! [X7 : a] : (((X0 @ X8) @ X7) => (X4 @ X7)) & ! [X5 : a,X6 : a] : ((((X0 @ X5) @ X6) & (X4 @ X5)) => (X4 @ X6))) => (X4 @ X9))) => ! [X4 : (a > $o)] : ((! [X7 : a] : ((((X0 @ X8) @ X7) | ((X1 @ X8) @ X7)) => (X4 @ X7)) & ! [X5 : a,X6 : a] : (((X4 @ X5) & (((X1 @ X5) @ X6) | ((X0 @ X5) @ X6))) => (X4 @ X6))) => (X4 @ X9))) & ! [X8 : a,X9 : a,X10 : a] : ((! [X4 : (a > $o)] : ((! [X5 : a,X6 : a] : (((((X0 @ X5) @ X6) | ((X1 @ X5) @ X6)) & (X4 @ X5)) => (X4 @ X6)) & ! [X7 : a] : ((((X1 @ X9) @ X7) | ((X0 @ X9) @ X7)) => (X4 @ X7))) => (X4 @ X10)) & ! [X4 : (a > $o)] : ((! [X5 : a,X6 : a] : (((((X0 @ X5) @ X6) | ((X1 @ X5) @ X6)) & (X4 @ X5)) => (X4 @ X6)) & ! [X7 : a] : ((((X1 @ X8) @ X7) | ((X0 @ X8) @ X7)) => (X4 @ X7))) => (X4 @ X9))) => ! [X4 : (a > $o)] : ((! [X5 : a,X6 : a] : (((X4 @ X5) & (((X0 @ X5) @ X6) | ((X1 @ X5) @ X6))) => (X4 @ X6)) & ! [X7 : a] : ((((X1 @ X8) @ X7) | ((X0 @ X8) @ X7)) => (X4 @ X7))) => (X4 @ X10)))) => ! [X4 : (a > $o)] : ((! [X7 : a] : ((((X1 @ X2) @ X7) | ((X0 @ X2) @ X7)) => (X4 @ X7)) & ! [X5 : a,X6 : a] : (((((X1 @ X5) @ X6) | ((X0 @ X5) @ X6)) & (X4 @ X5)) => (X4 @ X6))) => (X4 @ X3))) => ! [X4 : (a > $o)] : ((! [X7 : a] : ((((X1 @ X2) @ X7) | ((X0 @ X2) @ X7)) => (X4 @ X7)) & ! [X5 : a,X6 : a] : (((((X0 @ X5) @ X6) | ((X1 @ X5) @ X6)) & (X4 @ X5)) => (X4 @ X6))) => (X4 @ X3))) [input] 81.29/80.21 2. ~! [X0 : (a > (a > $o)),X1 : (a > (a > $o)),X2 : a,X3 : a] : (((! [X8 : a,X9 : a] : ((! [X4 : (a > $o)] : ((! [X7 : a] : (((X1 @ X8) @ X7) => (X4 @ X7)) & ! [X5 : a,X6 : a] : (((X4 @ X5) & ((X1 @ X5) @ X6)) => (X4 @ X6))) => (X4 @ X9)) | ! [X4 : (a > $o)] : ((! [X7 : a] : (((X0 @ X8) @ X7) => (X4 @ X7)) & ! [X5 : a,X6 : a] : ((((X0 @ X5) @ X6) & (X4 @ X5)) => (X4 @ X6))) => (X4 @ X9))) => ! [X4 : (a > $o)] : ((! [X7 : a] : ((((X0 @ X8) @ X7) | ((X1 @ X8) @ X7)) => (X4 @ X7)) & ! [X5 : a,X6 : a] : (((X4 @ X5) & (((X1 @ X5) @ X6) | ((X0 @ X5) @ X6))) => (X4 @ X6))) => (X4 @ X9))) & ! [X8 : a,X9 : a,X10 : a] : ((! [X4 : (a > $o)] : ((! [X5 : a,X6 : a] : (((((X0 @ X5) @ X6) | ((X1 @ X5) @ X6)) & (X4 @ X5)) => (X4 @ X6)) & ! [X7 : a] : ((((X1 @ X9) @ X7) | ((X0 @ X9) @ X7)) => (X4 @ X7))) => (X4 @ X10)) & ! [X4 : (a > $o)] : ((! [X5 : a,X6 : a] : (((((X0 @ X5) @ X6) | ((X1 @ X5) @ X6)) & (X4 @ X5)) => (X4 @ X6)) & ! [X7 : a] : ((((X1 @ X8) @ X7) | ((X0 @ X8) @ X7)) => (X4 @ X7))) => (X4 @ X9))) => ! [X4 : (a > $o)] : ((! [X5 : a,X6 : a] : (((X4 @ X5) & (((X0 @ X5) @ X6) | ((X1 @ X5) @ X6))) => (X4 @ X6)) & ! [X7 : a] : ((((X1 @ X8) @ X7) | ((X0 @ X8) @ X7)) => (X4 @ X7))) => (X4 @ X10)))) => ! [X4 : (a > $o)] : ((! [X7 : a] : ((((X1 @ X2) @ X7) | ((X0 @ X2) @ X7)) => (X4 @ X7)) & ! [X5 : a,X6 : a] : (((((X1 @ X5) @ X6) | ((X0 @ X5) @ X6)) & (X4 @ X5)) => (X4 @ X6))) => (X4 @ X3))) => ! [X4 : (a > $o)] : ((! [X7 : a] : ((((X1 @ X2) @ X7) | ((X0 @ X2) @ X7)) => (X4 @ X7)) & ! [X5 : a,X6 : a] : (((((X0 @ X5) @ X6) | ((X1 @ X5) @ X6)) & (X4 @ X5)) => (X4 @ X6))) => (X4 @ X3))) [negated conjecture 1] 81.29/80.21 4. ~! [X0 : (a > (a > $o)),X1 : (a > (a > $o)),X2 : a,X3 : a] : (((! [X4 : a,X5 : a] : ((! [X6 : (a > $o)] : ((! [X7 : a] : (((X1 @ X4) @ X7) => (X6 @ X7)) & ! [X8 : a,X9 : a] : (((X6 @ X8) & ((X1 @ X8) @ X9)) => (X6 @ X9))) => (X6 @ X5)) | ! [X10 : (a > $o)] : ((! [X11 : a] : (((X0 @ X4) @ X11) => (X10 @ X11)) & ! [X12 : a,X13 : a] : ((((X0 @ X12) @ X13) & (X10 @ X12)) => (X10 @ X13))) => (X10 @ X5))) => ! [X14 : (a > $o)] : ((! [X15 : a] : ((((X0 @ X4) @ X15) | ((X1 @ X4) @ X15)) => (X14 @ X15)) & ! [X16 : a,X17 : a] : (((X14 @ X16) & (((X1 @ X16) @ X17) | ((X0 @ X16) @ X17))) => (X14 @ X17))) => (X14 @ X5))) & ! [X18 : a,X19 : a,X20 : a] : ((! [X21 : (a > $o)] : ((! [X22 : a,X23 : a] : (((((X0 @ X22) @ X23) | ((X1 @ X22) @ X23)) & (X21 @ X22)) => (X21 @ X23)) & ! [X24 : a] : ((((X1 @ X19) @ X24) | ((X0 @ X19) @ X24)) => (X21 @ X24))) => (X21 @ X20)) & ! [X25 : (a > $o)] : ((! [X26 : a,X27 : a] : (((((X0 @ X26) @ X27) | ((X1 @ X26) @ X27)) & (X25 @ X26)) => (X25 @ X27)) & ! [X28 : a] : ((((X1 @ X18) @ X28) | ((X0 @ X18) @ X28)) => (X25 @ X28))) => (X25 @ X19))) => ! [X29 : (a > $o)] : ((! [X30 : a,X31 : a] : (((X29 @ X30) & (((X0 @ X30) @ X31) | ((X1 @ X30) @ X31))) => (X29 @ X31)) & ! [X32 : a] : ((((X1 @ X18) @ X32) | ((X0 @ X18) @ X32)) => (X29 @ X32))) => (X29 @ X20)))) => ! [X33 : (a > $o)] : ((! [X34 : a] : ((((X1 @ X2) @ X34) | ((X0 @ X2) @ X34)) => (X33 @ X34)) & ! [X35 : a,X36 : a] : (((((X1 @ X35) @ X36) | ((X0 @ X35) @ X36)) & (X33 @ X35)) => (X33 @ X36))) => (X33 @ X3))) => ! [X37 : (a > $o)] : ((! [X38 : a] : ((((X1 @ X2) @ X38) | ((X0 @ X2) @ X38)) => (X37 @ X38)) & ! [X39 : a,X40 : a] : (((((X0 @ X39) @ X40) | ((X1 @ X39) @ X40)) & (X37 @ X39)) => (X37 @ X40))) => (X37 @ X3))) [rectify 2] 81.29/80.21 5. ~! [X0 : (a > (a > $o)),X1 : (a > (a > $o)),X2 : a,X3 : a] : (((! [X4 : a,X5 : a] : ((! [X6 : (a > $o)] : ((! [X7 : a] : (($true = X1 @ X4 @ X7) => ($true = X6 @ X7)) & ! [X8 : a,X9 : a] : ((($true = X6 @ X8) & ($true = X1 @ X8 @ X9)) => ($true = X6 @ X9))) => ($true = X6 @ X5)) | ! [X10 : (a > $o)] : ((! [X11 : a] : (($true = X0 @ X4 @ X11) => ($true = X10 @ X11)) & ! [X12 : a,X13 : a] : ((($true = X0 @ X12 @ X13) & ($true = X10 @ X12)) => ($true = X10 @ X13))) => ($true = X10 @ X5))) => ! [X14 : (a > $o)] : ((! [X15 : a] : ((($true = X0 @ X4 @ X15) | ($true = X1 @ X4 @ X15)) => ($true = X14 @ X15)) & ! [X16 : a,X17 : a] : ((($true = X14 @ X16) & (($true = X1 @ X16 @ X17) | ($true = X0 @ X16 @ X17))) => ($true = X14 @ X17))) => ($true = X14 @ X5))) & ! [X18 : a,X19 : a,X20 : a] : ((! [X21 : (a > $o)] : ((! [X22 : a,X23 : a] : (((($true = X0 @ X22 @ X23) | ($true = X1 @ X22 @ X23)) & ($true = X21 @ X22)) => ($true = X21 @ X23)) & ! [X24 : a] : ((($true = X1 @ X19 @ X24) | ($true = X0 @ X19 @ X24)) => ($true = X21 @ X24))) => ($true = X21 @ X20)) & ! [X25 : (a > $o)] : ((! [X26 : a,X27 : a] : (((($true = X0 @ X26 @ X27) | ($true = X1 @ X26 @ X27)) & ($true = X25 @ X26)) => ($true = X25 @ X27)) & ! [X28 : a] : ((($true = X1 @ X18 @ X28) | ($true = X0 @ X18 @ X28)) => ($true = X25 @ X28))) => ($true = X25 @ X19))) => ! [X29 : (a > $o)] : ((! [X30 : a,X31 : a] : ((($true = X29 @ X30) & (($true = X0 @ X30 @ X31) | ($true = X1 @ X30 @ X31))) => ($true = X29 @ X31)) & ! [X32 : a] : ((($true = X1 @ X18 @ X32) | ($true = X0 @ X18 @ X32)) => ($true = X29 @ X32))) => ($true = X29 @ X20)))) => ! [X33 : (a > $o)] : ((! [X34 : a] : ((($true = X1 @ X2 @ X34) | ($true = X0 @ X2 @ X34)) => ($true = X33 @ X34)) & ! [X35 : a,X36 : a] : (((($true = X1 @ X35 @ X36) | ($true = X0 @ X35 @ X36)) & ($true = X33 @ X35)) => ($true = X33 @ X36))) => ($true = X33 @ X3))) => ! [X37 : (a > $o)] : ((! [X38 : a] : ((($true = X1 @ X2 @ X38) | ($true = X0 @ X2 @ X38)) => ($true = X37 @ X38)) & ! [X39 : a,X40 : a] : (((($true = X0 @ X39 @ X40) | ($true = X1 @ X39 @ X40)) & ($true = X37 @ X39)) => ($true = X37 @ X40))) => ($true = X37 @ X3))) [fool elimination 4] 81.29/80.21 16. ? [X0 : (a > (a > $o)),X1 : (a > (a > $o)),X2 : a,X3 : a] : (? [X37 : (a > $o)] : (($true != X37 @ X3) & (! [X38 : a] : (($true = X37 @ X38) | (($true != X1 @ X2 @ X38) & ($true != X0 @ X2 @ X38))) & ! [X39 : a,X40 : a] : (($true = X37 @ X40) | ((($true != X0 @ X39 @ X40) & ($true != X1 @ X39 @ X40)) | ($true != X37 @ X39))))) & (! [X33 : (a > $o)] : (($true = X33 @ X3) | (? [X34 : a] : (($true != X33 @ X34) & (($true = X1 @ X2 @ X34) | ($true = X0 @ X2 @ X34))) | ? [X35 : a,X36 : a] : (($true != X33 @ X36) & ((($true = X1 @ X35 @ X36) | ($true = X0 @ X35 @ X36)) & ($true = X33 @ X35))))) | (? [X4 : a,X5 : a] : (? [X14 : (a > $o)] : (($true != X14 @ X5) & (! [X15 : a] : (($true = X14 @ X15) | (($true != X0 @ X4 @ X15) & ($true != X1 @ X4 @ X15))) & ! [X16 : a,X17 : a] : (($true = X14 @ X17) | (($true != X14 @ X16) | (($true != X1 @ X16 @ X17) & ($true != X0 @ X16 @ X17)))))) & (! [X6 : (a > $o)] : (($true = X6 @ X5) | (? [X7 : a] : (($true != X6 @ X7) & ($true = X1 @ X4 @ X7)) | ? [X8 : a,X9 : a] : (($true != X6 @ X9) & (($true = X6 @ X8) & ($true = X1 @ X8 @ X9))))) | ! [X10 : (a > $o)] : (($true = X10 @ X5) | (? [X11 : a] : (($true != X10 @ X11) & ($true = X0 @ X4 @ X11)) | ? [X12 : a,X13 : a] : (($true != X10 @ X13) & (($true = X0 @ X12 @ X13) & ($true = X10 @ X12))))))) | ? [X18 : a,X19 : a,X20 : a] : (? [X29 : (a > $o)] : (($true != X29 @ X20) & (! [X30 : a,X31 : a] : (($true = X29 @ X31) | (($true != X29 @ X30) | (($true != X0 @ X30 @ X31) & ($true != X1 @ X30 @ X31)))) & ! [X32 : a] : (($true = X29 @ X32) | (($true != X1 @ X18 @ X32) & ($true != X0 @ X18 @ X32))))) & (! [X21 : (a > $o)] : (($true = X21 @ X20) | (? [X22 : a,X23 : a] : (($true != X21 @ X23) & ((($true = X0 @ X22 @ X23) | ($true = X1 @ X22 @ X23)) & ($true = X21 @ X22))) | ? [X24 : a] : (($true != X21 @ X24) & (($true = X1 @ X19 @ X24) | ($true = X0 @ X19 @ X24))))) & ! [X25 : (a > $o)] : (($true = X25 @ X19) | (? [X26 : a,X27 : a] : (($true != X25 @ X27) & ((($true = X0 @ X26 @ X27) | ($true = X1 @ X26 @ X27)) & ($true = X25 @ X26))) | ? [X28 : a] : (($true != X25 @ X28) & (($true = X1 @ X18 @ X28) | ($true = X0 @ X18 @ X28)))))))))) [ennf transformation 5] 81.29/80.21 17. ? [X0 : (a > (a > $o)),X1 : (a > (a > $o)),X2 : a,X3 : a] : (? [X37 : (a > $o)] : (($true != X37 @ X3) & ! [X38 : a] : (($true = X37 @ X38) | (($true != X1 @ X2 @ X38) & ($true != X0 @ X2 @ X38))) & ! [X39 : a,X40 : a] : (($true = X37 @ X40) | (($true != X0 @ X39 @ X40) & ($true != X1 @ X39 @ X40)) | ($true != X37 @ X39))) & (! [X33 : (a > $o)] : (($true = X33 @ X3) | ? [X34 : a] : (($true != X33 @ X34) & (($true = X1 @ X2 @ X34) | ($true = X0 @ X2 @ X34))) | ? [X35 : a,X36 : a] : (($true != X33 @ X36) & (($true = X1 @ X35 @ X36) | ($true = X0 @ X35 @ X36)) & ($true = X33 @ X35))) | ? [X4 : a,X5 : a] : (? [X14 : (a > $o)] : (($true != X14 @ X5) & ! [X15 : a] : (($true = X14 @ X15) | (($true != X0 @ X4 @ X15) & ($true != X1 @ X4 @ X15))) & ! [X16 : a,X17 : a] : (($true = X14 @ X17) | ($true != X14 @ X16) | (($true != X1 @ X16 @ X17) & ($true != X0 @ X16 @ X17)))) & (! [X6 : (a > $o)] : (($true = X6 @ X5) | ? [X7 : a] : (($true != X6 @ X7) & ($true = X1 @ X4 @ X7)) | ? [X8 : a,X9 : a] : (($true != X6 @ X9) & ($true = X6 @ X8) & ($true = X1 @ X8 @ X9))) | ! [X10 : (a > $o)] : (($true = X10 @ X5) | ? [X11 : a] : (($true != X10 @ X11) & ($true = X0 @ X4 @ X11)) | ? [X12 : a,X13 : a] : (($true != X10 @ X13) & ($true = X0 @ X12 @ X13) & ($true = X10 @ X12))))) | ? [X18 : a,X19 : a,X20 : a] : (? [X29 : (a > $o)] : (($true != X29 @ X20) & ! [X30 : a,X31 : a] : (($true = X29 @ X31) | ($true != X29 @ X30) | (($true != X0 @ X30 @ X31) & ($true != X1 @ X30 @ X31))) & ! [X32 : a] : (($true = X29 @ X32) | (($true != X1 @ X18 @ X32) & ($true != X0 @ X18 @ X32)))) & ! [X21 : (a > $o)] : (($true = X21 @ X20) | ? [X22 : a,X23 : a] : (($true != X21 @ X23) & (($true = X0 @ X22 @ X23) | ($true = X1 @ X22 @ X23)) & ($true = X21 @ X22)) | ? [X24 : a] : (($true != X21 @ X24) & (($true = X1 @ X19 @ X24) | ($true = X0 @ X19 @ X24)))) & ! [X25 : (a > $o)] : (($true = X25 @ X19) | ? [X26 : a,X27 : a] : (($true != X25 @ X27) & (($true = X0 @ X26 @ X27) | ($true = X1 @ X26 @ X27)) & ($true = X25 @ X26)) | ? [X28 : a] : (($true != X25 @ X28) & (($true = X1 @ X18 @ X28) | ($true = X0 @ X18 @ X28))))))) [flattening 16] 81.29/80.21 18. ! [X19 : a,X0 : (a > (a > $o)),X1 : (a > (a > $o)),X18 : a] : (! [X25 : (a > $o)] : (($true = X25 @ X19) | ? [X26 : a,X27 : a] : (($true != X25 @ X27) & (($true = X0 @ X26 @ X27) | ($true = X1 @ X26 @ X27)) & ($true = X25 @ X26)) | ? [X28 : a] : (($true != X25 @ X28) & (($true = X1 @ X18 @ X28) | ($true = X0 @ X18 @ X28)))) | ~sP0(X19,X0,X1,X18)) [predicate definition introduction] 81.29/80.21 19. ! [X5 : a,X4 : a,X0 : (a > (a > $o))] : (! [X10 : (a > $o)] : (($true = X10 @ X5) | ? [X11 : a] : (($true != X10 @ X11) & ($true = X0 @ X4 @ X11)) | ? [X12 : a,X13 : a] : (($true != X10 @ X13) & ($true = X0 @ X12 @ X13) & ($true = X10 @ X12))) | ~sP1(X5,X4,X0)) [predicate definition introduction] 81.29/80.21 20. ! [X0 : (a > (a > $o)),X1 : (a > (a > $o))] : (? [X18 : a,X19 : a,X20 : a] : (? [X29 : (a > $o)] : (($true != X29 @ X20) & ! [X30 : a,X31 : a] : (($true = X29 @ X31) | ($true != X29 @ X30) | (($true != X0 @ X30 @ X31) & ($true != X1 @ X30 @ X31))) & ! [X32 : a] : (($true = X29 @ X32) | (($true != X1 @ X18 @ X32) & ($true != X0 @ X18 @ X32)))) & ! [X21 : (a > $o)] : (($true = X21 @ X20) | ? [X22 : a,X23 : a] : (($true != X21 @ X23) & (($true = X0 @ X22 @ X23) | ($true = X1 @ X22 @ X23)) & ($true = X21 @ X22)) | ? [X24 : a] : (($true != X21 @ X24) & (($true = X1 @ X19 @ X24) | ($true = X0 @ X19 @ X24)))) & sP0(X19,X0,X1,X18)) | ~sP2(X0,X1)) [predicate definition introduction] 81.29/80.21 21. ! [X0 : (a > (a > $o)),X1 : (a > (a > $o))] : (? [X4 : a,X5 : a] : (? [X14 : (a > $o)] : (($true != X14 @ X5) & ! [X15 : a] : (($true = X14 @ X15) | (($true != X0 @ X4 @ X15) & ($true != X1 @ X4 @ X15))) & ! [X16 : a,X17 : a] : (($true = X14 @ X17) | ($true != X14 @ X16) | (($true != X1 @ X16 @ X17) & ($true != X0 @ X16 @ X17)))) & (! [X6 : (a > $o)] : (($true = X6 @ X5) | ? [X7 : a] : (($true != X6 @ X7) & ($true = X1 @ X4 @ X7)) | ? [X8 : a,X9 : a] : (($true != X6 @ X9) & ($true = X6 @ X8) & ($true = X1 @ X8 @ X9))) | sP1(X5,X4,X0))) | ~sP3(X0,X1)) [predicate definition introduction] 81.29/80.21 22. ? [X0 : (a > (a > $o)),X1 : (a > (a > $o)),X2 : a,X3 : a] : (? [X37 : (a > $o)] : (($true != X37 @ X3) & ! [X38 : a] : (($true = X37 @ X38) | (($true != X1 @ X2 @ X38) & ($true != X0 @ X2 @ X38))) & ! [X39 : a,X40 : a] : (($true = X37 @ X40) | (($true != X0 @ X39 @ X40) & ($true != X1 @ X39 @ X40)) | ($true != X37 @ X39))) & (! [X33 : (a > $o)] : (($true = X33 @ X3) | ? [X34 : a] : (($true != X33 @ X34) & (($true = X1 @ X2 @ X34) | ($true = X0 @ X2 @ X34))) | ? [X35 : a,X36 : a] : (($true != X33 @ X36) & (($true = X1 @ X35 @ X36) | ($true = X0 @ X35 @ X36)) & ($true = X33 @ X35))) | sP3(X0,X1) | sP2(X0,X1))) [definition folding 17,21,20,19,18] 81.29/80.21 23. ! [X0 : (a > (a > $o)),X1 : (a > (a > $o))] : (? [X4 : a,X5 : a] : (? [X14 : (a > $o)] : (($true != X14 @ X5) & ! [X15 : a] : (($true = X14 @ X15) | (($true != X0 @ X4 @ X15) & ($true != X1 @ X4 @ X15))) & ! [X16 : a,X17 : a] : (($true = X14 @ X17) | ($true != X14 @ X16) | (($true != X1 @ X16 @ X17) & ($true != X0 @ X16 @ X17)))) & (! [X6 : (a > $o)] : (($true = X6 @ X5) | ? [X7 : a] : (($true != X6 @ X7) & ($true = X1 @ X4 @ X7)) | ? [X8 : a,X9 : a] : (($true != X6 @ X9) & ($true = X6 @ X8) & ($true = X1 @ X8 @ X9))) | sP1(X5,X4,X0))) | ~sP3(X0,X1)) [nnf transformation 21] 81.29/80.21 24. ! [X0 : (a > (a > $o)),X1 : (a > (a > $o))] : (? [X2 : a,X3 : a] : (? [X4 : (a > $o)] : (($true != X4 @ X3) & ! [X5 : a] : (($true = X4 @ X5) | (($true != X0 @ X2 @ X5) & ($true != X1 @ X2 @ X5))) & ! [X6 : a,X7 : a] : (($true = X4 @ X7) | ($true != X4 @ X6) | (($true != X1 @ X6 @ X7) & ($true != X0 @ X6 @ X7)))) & (! [X8 : (a > $o)] : (($true = X8 @ X3) | ? [X9 : a] : (($true != X8 @ X9) & ($true = X1 @ X2 @ X9)) | ? [X10 : a,X11 : a] : (($true != X8 @ X11) & ($true = X8 @ X10) & ($true = X1 @ X10 @ X11))) | sP1(X3,X2,X0))) | ~sP3(X0,X1)) [rectify 23] 81.29/80.21 25. ! [X1 : (a > (a > $o)),X0 : (a > (a > $o))] : (? [X2 : a,X3 : a] : (? [X4 : (a > $o)] : (($true != X4 @ X3) & ! [X5 : a] : (($true = X4 @ X5) | (($true != X0 @ X2 @ X5) & ($true != X1 @ X2 @ X5))) & ! [X6 : a,X7 : a] : (($true = X4 @ X7) | ($true != X4 @ X6) | (($true != X1 @ X6 @ X7) & ($true != X0 @ X6 @ X7)))) & (! [X8 : (a > $o)] : (($true = X8 @ X3) | ? [X9 : a] : (($true != X8 @ X9) & ($true = X1 @ X2 @ X9)) | ? [X10 : a,X11 : a] : (($true != X8 @ X11) & ($true = X8 @ X10) & ($true = X1 @ X10 @ X11))) | sP1(X3,X2,X0))) => (? [X4 : (a > $o)] : (($true != X4 @ (sK5 @ X1 @ X0)) & ! [X5 : a] : (($true = X4 @ X5) | (($true != X0 @ (sK4 @ X1 @ X0) @ X5) & ($true != X1 @ (sK4 @ X1 @ X0) @ X5))) & ! [X6 : a,X7 : a] : (($true = X4 @ X7) | ($true != X4 @ X6) | (($true != X1 @ X6 @ X7) & ($true != X0 @ X6 @ X7)))) & (! [X8 : (a > $o)] : (($true = X8 @ (sK5 @ X1 @ X0)) | ? [X9 : a] : (($true != X8 @ X9) & ($true = X1 @ (sK4 @ X1 @ X0) @ X9)) | ? [X10 : a,X11 : a] : (($true != X8 @ X11) & ($true = X8 @ X10) & ($true = X1 @ X10 @ X11))) | sP1(vAPP_24_7(vAPP_25_7(sK5,X1),X0),vAPP_24_7(vAPP_25_7(sK4,X1),X0),X0)))) [choice axiom] 81.29/80.21 26. ! [X1 : (a > (a > $o)),X0 : (a > (a > $o))] : (? [X4 : (a > $o)] : (($true != X4 @ X3) & ! [X5 : a] : (($true = X4 @ X5) | (($true != X0 @ X2 @ X5) & ($true != X1 @ X2 @ X5))) & ! [X6 : a,X7 : a] : (($true = X4 @ X7) | ($true != X4 @ X6) | (($true != X1 @ X6 @ X7) & ($true != X0 @ X6 @ X7)))) => (($true != sK6 @ X1 @ X0 @ X3) & ! [X5 : a] : (($true = sK6 @ X1 @ X0 @ X5) | (($true != X0 @ X2 @ X5) & ($true != X1 @ X2 @ X5))) & ! [X7 : a,X6 : a] : (($true = sK6 @ X1 @ X0 @ X7) | ($true != sK6 @ X1 @ X0 @ X6) | (($true != X1 @ X6 @ X7) & ($true != X0 @ X6 @ X7))))) [choice axiom] 81.29/80.21 27. ! [X8 : (a > $o),X1 : (a > (a > $o)),X0 : (a > (a > $o))] : (? [X9 : a] : (($true != X8 @ X9) & ($true = X1 @ X2 @ X9)) => (($true != X8 @ (sK7 @ X8 @ X1 @ X0)) & ($true = X1 @ X2 @ (sK7 @ X8 @ X1 @ X0)))) [choice axiom] 81.29/80.21 28. ! [X8 : (a > $o),X1 : (a > (a > $o))] : (? [X10 : a,X11 : a] : (($true != X8 @ X11) & ($true = X8 @ X10) & ($true = X1 @ X10 @ X11)) => (($true != X8 @ (sK9 @ X8 @ X1)) & ($true = X8 @ (sK8 @ X8 @ X1)) & ($true = X1 @ (sK8 @ X8 @ X1) @ (sK9 @ X8 @ X1)))) [choice axiom] 81.29/80.21 29. ! [X0 : (a > (a > $o)),X1 : (a > (a > $o))] : (((($true != sK6 @ X1 @ X0 @ (sK5 @ X1 @ X0)) & ! [X5 : a] : (($true = sK6 @ X1 @ X0 @ X5) | (($true != X0 @ (sK4 @ X1 @ X0) @ X5) & ($true != X1 @ (sK4 @ X1 @ X0) @ X5))) & ! [X6 : a,X7 : a] : (($true = sK6 @ X1 @ X0 @ X7) | ($true != sK6 @ X1 @ X0 @ X6) | (($true != X1 @ X6 @ X7) & ($true != X0 @ X6 @ X7)))) & (! [X8 : (a > $o)] : (($true = X8 @ (sK5 @ X1 @ X0)) | (($true != X8 @ (sK7 @ X8 @ X1 @ X0)) & ($true = X1 @ (sK4 @ X1 @ X0) @ (sK7 @ X8 @ X1 @ X0))) | (($true != X8 @ (sK9 @ X8 @ X1)) & ($true = X8 @ (sK8 @ X8 @ X1)) & ($true = X1 @ (sK8 @ X8 @ X1) @ (sK9 @ X8 @ X1)))) | sP1(vAPP_24_7(vAPP_25_7(sK5,X1),X0),vAPP_24_7(vAPP_25_7(sK4,X1),X0),X0))) | ~sP3(X0,X1)) [skolemisation 24,28,27,26,25] 81.29/80.21 30. ! [X0 : (a > (a > $o)),X1 : (a > (a > $o))] : (? [X18 : a,X19 : a,X20 : a] : (? [X29 : (a > $o)] : (($true != X29 @ X20) & ! [X30 : a,X31 : a] : (($true = X29 @ X31) | ($true != X29 @ X30) | (($true != X0 @ X30 @ X31) & ($true != X1 @ X30 @ X31))) & ! [X32 : a] : (($true = X29 @ X32) | (($true != X1 @ X18 @ X32) & ($true != X0 @ X18 @ X32)))) & ! [X21 : (a > $o)] : (($true = X21 @ X20) | ? [X22 : a,X23 : a] : (($true != X21 @ X23) & (($true = X0 @ X22 @ X23) | ($true = X1 @ X22 @ X23)) & ($true = X21 @ X22)) | ? [X24 : a] : (($true != X21 @ X24) & (($true = X1 @ X19 @ X24) | ($true = X0 @ X19 @ X24)))) & sP0(X19,X0,X1,X18)) | ~sP2(X0,X1)) [nnf transformation 20] 81.29/80.21 31. ! [X0 : (a > (a > $o)),X1 : (a > (a > $o))] : (? [X2 : a,X3 : a,X4 : a] : (? [X5 : (a > $o)] : (($true != X5 @ X4) & ! [X6 : a,X7 : a] : (($true = X5 @ X7) | ($true != X5 @ X6) | (($true != X0 @ X6 @ X7) & ($true != X1 @ X6 @ X7))) & ! [X8 : a] : (($true = X5 @ X8) | (($true != X1 @ X2 @ X8) & ($true != X0 @ X2 @ X8)))) & ! [X9 : (a > $o)] : (($true = X9 @ X4) | ? [X10 : a,X11 : a] : (($true != X9 @ X11) & (($true = X0 @ X10 @ X11) | ($true = X1 @ X10 @ X11)) & ($true = X9 @ X10)) | ? [X12 : a] : (($true != X9 @ X12) & (($true = X1 @ X3 @ X12) | ($true = X0 @ X3 @ X12)))) & sP0(X3,X0,X1,X2)) | ~sP2(X0,X1)) [rectify 30] 81.29/80.21 32. ! [X1 : (a > (a > $o)),X0 : (a > (a > $o))] : (? [X2 : a,X3 : a,X4 : a] : (? [X5 : (a > $o)] : (($true != X5 @ X4) & ! [X6 : a,X7 : a] : (($true = X5 @ X7) | ($true != X5 @ X6) | (($true != X0 @ X6 @ X7) & ($true != X1 @ X6 @ X7))) & ! [X8 : a] : (($true = X5 @ X8) | (($true != X1 @ X2 @ X8) & ($true != X0 @ X2 @ X8)))) & ! [X9 : (a > $o)] : (($true = X9 @ X4) | ? [X10 : a,X11 : a] : (($true != X9 @ X11) & (($true = X0 @ X10 @ X11) | ($true = X1 @ X10 @ X11)) & ($true = X9 @ X10)) | ? [X12 : a] : (($true != X9 @ X12) & (($true = X1 @ X3 @ X12) | ($true = X0 @ X3 @ X12)))) & sP0(X3,X0,X1,X2)) => (? [X5 : (a > $o)] : (($true != X5 @ (sK12 @ X1 @ X0)) & ! [X6 : a,X7 : a] : (($true = X5 @ X7) | ($true != X5 @ X6) | (($true != X0 @ X6 @ X7) & ($true != X1 @ X6 @ X7))) & ! [X8 : a] : (($true = X5 @ X8) | (($true != X1 @ (sK10 @ X1 @ X0) @ X8) & ($true != X0 @ (sK10 @ X1 @ X0) @ X8)))) & ! [X9 : (a > $o)] : (($true = X9 @ (sK12 @ X1 @ X0)) | ? [X10 : a,X11 : a] : (($true != X9 @ X11) & (($true = X0 @ X10 @ X11) | ($true = X1 @ X10 @ X11)) & ($true = X9 @ X10)) | ? [X12 : a] : (($true != X9 @ X12) & (($true = X1 @ (sK11 @ X1 @ X0) @ X12) | ($true = X0 @ (sK11 @ X1 @ X0) @ X12)))) & sP0(vAPP_24_7(vAPP_25_7(sK11,X1),X0),X0,X1,vAPP_24_7(vAPP_25_7(sK10,X1),X0)))) [choice axiom] 81.29/80.21 33. ! [X1 : (a > (a > $o)),X0 : (a > (a > $o))] : (? [X5 : (a > $o)] : (($true != X5 @ X4) & ! [X6 : a,X7 : a] : (($true = X5 @ X7) | ($true != X5 @ X6) | (($true != X0 @ X6 @ X7) & ($true != X1 @ X6 @ X7))) & ! [X8 : a] : (($true = X5 @ X8) | (($true != X1 @ X2 @ X8) & ($true != X0 @ X2 @ X8)))) => (($true != sK13 @ X1 @ X0 @ X4) & ! [X7 : a,X6 : a] : (($true = sK13 @ X1 @ X0 @ X7) | ($true != sK13 @ X1 @ X0 @ X6) | (($true != X0 @ X6 @ X7) & ($true != X1 @ X6 @ X7))) & ! [X8 : a] : (($true = sK13 @ X1 @ X0 @ X8) | (($true != X1 @ X2 @ X8) & ($true != X0 @ X2 @ X8))))) [choice axiom] 81.29/80.21 34. ! [X9 : (a > $o),X1 : (a > (a > $o)),X0 : (a > (a > $o))] : (? [X10 : a,X11 : a] : (($true != X9 @ X11) & (($true = X0 @ X10 @ X11) | ($true = X1 @ X10 @ X11)) & ($true = X9 @ X10)) => (($true != X9 @ (sK15 @ X9 @ X1 @ X0)) & (($true = X0 @ (sK14 @ X9 @ X1 @ X0) @ (sK15 @ X9 @ X1 @ X0)) | ($true = X1 @ (sK14 @ X9 @ X1 @ X0) @ (sK15 @ X9 @ X1 @ X0))) & ($true = X9 @ (sK14 @ X9 @ X1 @ X0)))) [choice axiom] 81.29/80.21 35. ! [X9 : (a > $o),X1 : (a > (a > $o)),X0 : (a > (a > $o))] : (? [X12 : a] : (($true != X9 @ X12) & (($true = X1 @ X3 @ X12) | ($true = X0 @ X3 @ X12))) => (($true != X9 @ (sK16 @ X9 @ X1 @ X0)) & (($true = X1 @ X3 @ (sK16 @ X9 @ X1 @ X0)) | ($true = X0 @ X3 @ (sK16 @ X9 @ X1 @ X0))))) [choice axiom] 81.29/80.21 36. ! [X0 : (a > (a > $o)),X1 : (a > (a > $o))] : (((($true != sK13 @ X1 @ X0 @ (sK12 @ X1 @ X0)) & ! [X6 : a,X7 : a] : (($true = sK13 @ X1 @ X0 @ X7) | ($true != sK13 @ X1 @ X0 @ X6) | (($true != X0 @ X6 @ X7) & ($true != X1 @ X6 @ X7))) & ! [X8 : a] : (($true = sK13 @ X1 @ X0 @ X8) | (($true != X1 @ (sK10 @ X1 @ X0) @ X8) & ($true != X0 @ (sK10 @ X1 @ X0) @ X8)))) & ! [X9 : (a > $o)] : (($true = X9 @ (sK12 @ X1 @ X0)) | (($true != X9 @ (sK15 @ X9 @ X1 @ X0)) & (($true = X0 @ (sK14 @ X9 @ X1 @ X0) @ (sK15 @ X9 @ X1 @ X0)) | ($true = X1 @ (sK14 @ X9 @ X1 @ X0) @ (sK15 @ X9 @ X1 @ X0))) & ($true = X9 @ (sK14 @ X9 @ X1 @ X0))) | (($true != X9 @ (sK16 @ X9 @ X1 @ X0)) & (($true = X1 @ (sK11 @ X1 @ X0) @ (sK16 @ X9 @ X1 @ X0)) | ($true = X0 @ (sK11 @ X1 @ X0) @ (sK16 @ X9 @ X1 @ X0))))) & sP0(vAPP_24_7(vAPP_25_7(sK11,X1),X0),X0,X1,vAPP_24_7(vAPP_25_7(sK10,X1),X0))) | ~sP2(X0,X1)) [skolemisation 31,35,34,33,32] 81.29/80.21 37. ! [X5 : a,X4 : a,X0 : (a > (a > $o))] : (! [X10 : (a > $o)] : (($true = X10 @ X5) | ? [X11 : a] : (($true != X10 @ X11) & ($true = X0 @ X4 @ X11)) | ? [X12 : a,X13 : a] : (($true != X10 @ X13) & ($true = X0 @ X12 @ X13) & ($true = X10 @ X12))) | ~sP1(X5,X4,X0)) [nnf transformation 19] 81.29/80.21 38. ! [X0 : a,X1 : a,X2 : (a > (a > $o))] : (! [X3 : (a > $o)] : (($true = X3 @ X0) | ? [X4 : a] : (($true != X3 @ X4) & ($true = X2 @ X1 @ X4)) | ? [X5 : a,X6 : a] : (($true != X3 @ X6) & ($true = X2 @ X5 @ X6) & ($true = X3 @ X5))) | ~sP1(X0,X1,X2)) [rectify 37] 81.29/80.21 39. ! [X3 : (a > $o),X2 : (a > (a > $o)),X1 : a] : (? [X4 : a] : (($true != X3 @ X4) & ($true = X2 @ X1 @ X4)) => (($true != X3 @ (sK17 @ X3 @ X2 @ X1)) & ($true = X2 @ X1 @ (sK17 @ X3 @ X2 @ X1)))) [choice axiom] 81.29/80.21 40. ! [X3 : (a > $o),X2 : (a > (a > $o))] : (? [X5 : a,X6 : a] : (($true != X3 @ X6) & ($true = X2 @ X5 @ X6) & ($true = X3 @ X5)) => (($true != X3 @ (sK19 @ X3 @ X2)) & ($true = X2 @ (sK18 @ X3 @ X2) @ (sK19 @ X3 @ X2)) & ($true = X3 @ (sK18 @ X3 @ X2)))) [choice axiom] 81.29/80.21 41. ! [X0 : a,X1 : a,X2 : (a > (a > $o))] : (! [X3 : (a > $o)] : (($true = X3 @ X0) | (($true != X3 @ (sK17 @ X3 @ X2 @ X1)) & ($true = X2 @ X1 @ (sK17 @ X3 @ X2 @ X1))) | (($true != X3 @ (sK19 @ X3 @ X2)) & ($true = X2 @ (sK18 @ X3 @ X2) @ (sK19 @ X3 @ X2)) & ($true = X3 @ (sK18 @ X3 @ X2)))) | ~sP1(X0,X1,X2)) [skolemisation 38,40,39] 81.29/80.21 42. ! [X19 : a,X0 : (a > (a > $o)),X1 : (a > (a > $o)),X18 : a] : (! [X25 : (a > $o)] : (($true = X25 @ X19) | ? [X26 : a,X27 : a] : (($true != X25 @ X27) & (($true = X0 @ X26 @ X27) | ($true = X1 @ X26 @ X27)) & ($true = X25 @ X26)) | ? [X28 : a] : (($true != X25 @ X28) & (($true = X1 @ X18 @ X28) | ($true = X0 @ X18 @ X28)))) | ~sP0(X19,X0,X1,X18)) [nnf transformation 18] 81.29/80.21 43. ! [X0 : a,X1 : (a > (a > $o)),X2 : (a > (a > $o)),X3 : a] : (! [X4 : (a > $o)] : (($true = X4 @ X0) | ? [X5 : a,X6 : a] : (($true != X4 @ X6) & (($true = X1 @ X5 @ X6) | ($true = X2 @ X5 @ X6)) & ($true = X4 @ X5)) | ? [X7 : a] : (($true != X4 @ X7) & (($true = X2 @ X3 @ X7) | ($true = X1 @ X3 @ X7)))) | ~sP0(X0,X1,X2,X3)) [rectify 42] 81.29/80.21 44. ! [X4 : (a > $o),X2 : (a > (a > $o)),X1 : (a > (a > $o))] : (? [X5 : a,X6 : a] : (($true != X4 @ X6) & (($true = X1 @ X5 @ X6) | ($true = X2 @ X5 @ X6)) & ($true = X4 @ X5)) => (($true != X4 @ (sK21 @ X4 @ X2 @ X1)) & (($true = X1 @ (sK20 @ X4 @ X2 @ X1) @ (sK21 @ X4 @ X2 @ X1)) | ($true = X2 @ (sK20 @ X4 @ X2 @ X1) @ (sK21 @ X4 @ X2 @ X1))) & ($true = X4 @ (sK20 @ X4 @ X2 @ X1)))) [choice axiom] 81.29/80.21 45. ! [X4 : (a > $o),X3 : a,X2 : (a > (a > $o)),X1 : (a > (a > $o))] : (? [X7 : a] : (($true != X4 @ X7) & (($true = X2 @ X3 @ X7) | ($true = X1 @ X3 @ X7))) => (($true != X4 @ (sK22 @ X4 @ X3 @ X2 @ X1)) & (($true = X2 @ X3 @ (sK22 @ X4 @ X3 @ X2 @ X1)) | ($true = X1 @ X3 @ (sK22 @ X4 @ X3 @ X2 @ X1))))) [choice axiom] 81.29/80.21 46. ! [X0 : a,X1 : (a > (a > $o)),X2 : (a > (a > $o)),X3 : a] : (! [X4 : (a > $o)] : (($true = X4 @ X0) | (($true != X4 @ (sK21 @ X4 @ X2 @ X1)) & (($true = X1 @ (sK20 @ X4 @ X2 @ X1) @ (sK21 @ X4 @ X2 @ X1)) | ($true = X2 @ (sK20 @ X4 @ X2 @ X1) @ (sK21 @ X4 @ X2 @ X1))) & ($true = X4 @ (sK20 @ X4 @ X2 @ X1))) | (($true != X4 @ (sK22 @ X4 @ X3 @ X2 @ X1)) & (($true = X2 @ X3 @ (sK22 @ X4 @ X3 @ X2 @ X1)) | ($true = X1 @ X3 @ (sK22 @ X4 @ X3 @ X2 @ X1))))) | ~sP0(X0,X1,X2,X3)) [skolemisation 43,45,44] 81.29/80.21 47. ? [X0 : (a > (a > $o)),X1 : (a > (a > $o)),X2 : a,X3 : a] : (? [X4 : (a > $o)] : (($true != X4 @ X3) & ! [X5 : a] : (($true = X4 @ X5) | (($true != X1 @ X2 @ X5) & ($true != X0 @ X2 @ X5))) & ! [X6 : a,X7 : a] : (($true = X4 @ X7) | (($true != X0 @ X6 @ X7) & ($true != X1 @ X6 @ X7)) | ($true != X4 @ X6))) & (! [X8 : (a > $o)] : (($true = X8 @ X3) | ? [X9 : a] : (($true != X8 @ X9) & (($true = X1 @ X2 @ X9) | ($true = X0 @ X2 @ X9))) | ? [X10 : a,X11 : a] : (($true != X8 @ X11) & (($true = X1 @ X10 @ X11) | ($true = X0 @ X10 @ X11)) & ($true = X8 @ X10))) | sP3(X0,X1) | sP2(X0,X1))) [rectify 22] 81.29/80.21 48. ? [X0 : (a > (a > $o)),X1 : (a > (a > $o)),X2 : a,X3 : a] : (? [X4 : (a > $o)] : (($true != X4 @ X3) & ! [X5 : a] : (($true = X4 @ X5) | (($true != X1 @ X2 @ X5) & ($true != X0 @ X2 @ X5))) & ! [X6 : a,X7 : a] : (($true = X4 @ X7) | (($true != X0 @ X6 @ X7) & ($true != X1 @ X6 @ X7)) | ($true != X4 @ X6))) & (! [X8 : (a > $o)] : (($true = X8 @ X3) | ? [X9 : a] : (($true != X8 @ X9) & (($true = X1 @ X2 @ X9) | ($true = X0 @ X2 @ X9))) | ? [X10 : a,X11 : a] : (($true != X8 @ X11) & (($true = X1 @ X10 @ X11) | ($true = X0 @ X10 @ X11)) & ($true = X8 @ X10))) | sP3(X0,X1) | sP2(X0,X1))) => (? [X4 : (a > $o)] : (($true != X4 @ sK26) & ! [X5 : a] : (($true = X4 @ X5) | (($true != sK24 @ sK25 @ X5) & ($true != sK23 @ sK25 @ X5))) & ! [X7 : a,X6 : a] : (($true = X4 @ X7) | (($true != sK23 @ X6 @ X7) & ($true != sK24 @ X6 @ X7)) | ($true != X4 @ X6))) & (! [X8 : (a > $o)] : (($true = X8 @ sK26) | ? [X9 : a] : (($true != X8 @ X9) & (($true = sK24 @ sK25 @ X9) | ($true = sK23 @ sK25 @ X9))) | ? [X11 : a,X10 : a] : (($true != X8 @ X11) & (($true = sK24 @ X10 @ X11) | ($true = sK23 @ X10 @ X11)) & ($true = X8 @ X10))) | sP3(sK23,sK24) | sP2(sK23,sK24))) [choice axiom] 81.29/80.21 49. ? [X4 : (a > $o)] : (($true != X4 @ X3) & ! [X5 : a] : (($true = X4 @ X5) | (($true != X1 @ X2 @ X5) & ($true != X0 @ X2 @ X5))) & ! [X6 : a,X7 : a] : (($true = X4 @ X7) | (($true != X0 @ X6 @ X7) & ($true != X1 @ X6 @ X7)) | ($true != X4 @ X6))) => (($true != sK27 @ X3) & ! [X5 : a] : (($true = sK27 @ X5) | (($true != X1 @ X2 @ X5) & ($true != X0 @ X2 @ X5))) & ! [X7 : a,X6 : a] : (($true = sK27 @ X7) | (($true != X0 @ X6 @ X7) & ($true != X1 @ X6 @ X7)) | ($true != sK27 @ X6))) [choice axiom] 81.29/80.21 50. ! [X8 : (a > $o)] : (? [X9 : a] : (($true != X8 @ X9) & (($true = X1 @ X2 @ X9) | ($true = X0 @ X2 @ X9))) => (($true != X8 @ (sK28 @ X8)) & (($true = X1 @ X2 @ (sK28 @ X8)) | ($true = X0 @ X2 @ (sK28 @ X8))))) [choice axiom] 81.29/80.21 51. ! [X8 : (a > $o)] : (? [X10 : a,X11 : a] : (($true != X8 @ X11) & (($true = X1 @ X10 @ X11) | ($true = X0 @ X10 @ X11)) & ($true = X8 @ X10)) => (($true != X8 @ (sK30 @ X8)) & (($true = X1 @ (sK29 @ X8) @ (sK30 @ X8)) | ($true = X0 @ (sK29 @ X8) @ (sK30 @ X8))) & ($true = X8 @ (sK29 @ X8)))) [choice axiom] 81.29/80.21 52. (($true != sK27 @ sK26) & ! [X5 : a] : (($true = sK27 @ X5) | (($true != sK24 @ sK25 @ X5) & ($true != sK23 @ sK25 @ X5))) & ! [X6 : a,X7 : a] : (($true = sK27 @ X7) | (($true != sK23 @ X6 @ X7) & ($true != sK24 @ X6 @ X7)) | ($true != sK27 @ X6))) & (! [X8 : (a > $o)] : (($true = X8 @ sK26) | (($true != X8 @ (sK28 @ X8)) & (($true = sK24 @ sK25 @ (sK28 @ X8)) | ($true = sK23 @ sK25 @ (sK28 @ X8)))) | (($true != X8 @ (sK30 @ X8)) & (($true = sK24 @ (sK29 @ X8) @ (sK30 @ X8)) | ($true = sK23 @ (sK29 @ X8) @ (sK30 @ X8))) & ($true = X8 @ (sK29 @ X8)))) | sP3(sK23,sK24) | sP2(sK23,sK24)) [skolemisation 47,51,50,49,48] 81.29/80.21 63. ($true = X8 @ (sK5 @ X1 @ X0)) | ($true = X1 @ (sK4 @ X1 @ X0) @ (sK7 @ X8 @ X1 @ X0)) | ($true = X1 @ (sK8 @ X8 @ X1) @ (sK9 @ X8 @ X1)) | sP1(vAPP_24_7(vAPP_25_7(sK5,X1),X0),vAPP_24_7(vAPP_25_7(sK4,X1),X0),X0) | ~sP3(X0,X1) [cnf transformation 29] 81.29/80.21 64. ($true = X8 @ (sK5 @ X1 @ X0)) | ($true = X1 @ (sK4 @ X1 @ X0) @ (sK7 @ X8 @ X1 @ X0)) | ($true = X8 @ (sK8 @ X8 @ X1)) | sP1(vAPP_24_7(vAPP_25_7(sK5,X1),X0),vAPP_24_7(vAPP_25_7(sK4,X1),X0),X0) | ~sP3(X0,X1) [cnf transformation 29] 81.29/80.21 65. ($true = X8 @ (sK5 @ X1 @ X0)) | ($true = X1 @ (sK4 @ X1 @ X0) @ (sK7 @ X8 @ X1 @ X0)) | ($true != X8 @ (sK9 @ X8 @ X1)) | sP1(vAPP_24_7(vAPP_25_7(sK5,X1),X0),vAPP_24_7(vAPP_25_7(sK4,X1),X0),X0) | ~sP3(X0,X1) [cnf transformation 29] 81.29/80.21 66. ($true = X8 @ (sK5 @ X1 @ X0)) | ($true != X8 @ (sK7 @ X8 @ X1 @ X0)) | ($true = X1 @ (sK8 @ X8 @ X1) @ (sK9 @ X8 @ X1)) | sP1(vAPP_24_7(vAPP_25_7(sK5,X1),X0),vAPP_24_7(vAPP_25_7(sK4,X1),X0),X0) | ~sP3(X0,X1) [cnf transformation 29] 81.29/80.21 67. ($true = X8 @ (sK5 @ X1 @ X0)) | ($true != X8 @ (sK7 @ X8 @ X1 @ X0)) | ($true = X8 @ (sK8 @ X8 @ X1)) | sP1(vAPP_24_7(vAPP_25_7(sK5,X1),X0),vAPP_24_7(vAPP_25_7(sK4,X1),X0),X0) | ~sP3(X0,X1) [cnf transformation 29] 81.29/80.21 68. ($true = X8 @ (sK5 @ X1 @ X0)) | ($true != X8 @ (sK7 @ X8 @ X1 @ X0)) | ($true != X8 @ (sK9 @ X8 @ X1)) | sP1(vAPP_24_7(vAPP_25_7(sK5,X1),X0),vAPP_24_7(vAPP_25_7(sK4,X1),X0),X0) | ~sP3(X0,X1) [cnf transformation 29] 81.29/80.21 69. ($true = sK6 @ X1 @ X0 @ X7) | ($true != sK6 @ X1 @ X0 @ X6) | ($true != X0 @ X6 @ X7) | ~sP3(X0,X1) [cnf transformation 29] 81.29/80.21 70. ($true = sK6 @ X1 @ X0 @ X7) | ($true != sK6 @ X1 @ X0 @ X6) | ($true != X1 @ X6 @ X7) | ~sP3(X0,X1) [cnf transformation 29] 81.29/80.21 71. ($true = sK6 @ X1 @ X0 @ X5) | ($true != X1 @ (sK4 @ X1 @ X0) @ X5) | ~sP3(X0,X1) [cnf transformation 29] 81.29/80.21 72. ($true = sK6 @ X1 @ X0 @ X5) | ($true != X0 @ (sK4 @ X1 @ X0) @ X5) | ~sP3(X0,X1) [cnf transformation 29] 81.29/80.21 73. ($true != sK6 @ X1 @ X0 @ (sK5 @ X1 @ X0)) | ~sP3(X0,X1) [cnf transformation 29] 81.29/80.21 74. sP0(vAPP_24_7(vAPP_25_7(sK11,X1),X0),X0,X1,vAPP_24_7(vAPP_25_7(sK10,X1),X0)) | ~sP2(X0,X1) [cnf transformation 36] 81.29/80.21 75. ($true = X9 @ (sK12 @ X1 @ X0)) | ($true = X9 @ (sK14 @ X9 @ X1 @ X0)) | ($true = X1 @ (sK11 @ X1 @ X0) @ (sK16 @ X9 @ X1 @ X0)) | ($true = X0 @ (sK11 @ X1 @ X0) @ (sK16 @ X9 @ X1 @ X0)) | ~sP2(X0,X1) [cnf transformation 36] 81.29/80.21 76. ($true = X9 @ (sK12 @ X1 @ X0)) | ($true = X9 @ (sK14 @ X9 @ X1 @ X0)) | ($true != X9 @ (sK16 @ X9 @ X1 @ X0)) | ~sP2(X0,X1) [cnf transformation 36] 81.29/80.21 77. ($true = X9 @ (sK12 @ X1 @ X0)) | ($true = X0 @ (sK14 @ X9 @ X1 @ X0) @ (sK15 @ X9 @ X1 @ X0)) | ($true = X1 @ (sK14 @ X9 @ X1 @ X0) @ (sK15 @ X9 @ X1 @ X0)) | ($true = X1 @ (sK11 @ X1 @ X0) @ (sK16 @ X9 @ X1 @ X0)) | ($true = X0 @ (sK11 @ X1 @ X0) @ (sK16 @ X9 @ X1 @ X0)) | ~sP2(X0,X1) [cnf transformation 36] 81.29/80.21 78. ($true = X9 @ (sK12 @ X1 @ X0)) | ($true = X0 @ (sK14 @ X9 @ X1 @ X0) @ (sK15 @ X9 @ X1 @ X0)) | ($true = X1 @ (sK14 @ X9 @ X1 @ X0) @ (sK15 @ X9 @ X1 @ X0)) | ($true != X9 @ (sK16 @ X9 @ X1 @ X0)) | ~sP2(X0,X1) [cnf transformation 36] 81.29/80.21 79. ($true = X9 @ (sK12 @ X1 @ X0)) | ($true != X9 @ (sK15 @ X9 @ X1 @ X0)) | ($true = X1 @ (sK11 @ X1 @ X0) @ (sK16 @ X9 @ X1 @ X0)) | ($true = X0 @ (sK11 @ X1 @ X0) @ (sK16 @ X9 @ X1 @ X0)) | ~sP2(X0,X1) [cnf transformation 36] 81.29/80.21 80. ($true = X9 @ (sK12 @ X1 @ X0)) | ($true != X9 @ (sK15 @ X9 @ X1 @ X0)) | ($true != X9 @ (sK16 @ X9 @ X1 @ X0)) | ~sP2(X0,X1) [cnf transformation 36] 81.29/80.21 81. ($true = sK13 @ X1 @ X0 @ X8) | ($true != X0 @ (sK10 @ X1 @ X0) @ X8) | ~sP2(X0,X1) [cnf transformation 36] 81.29/80.21 82. ($true = sK13 @ X1 @ X0 @ X8) | ($true != X1 @ (sK10 @ X1 @ X0) @ X8) | ~sP2(X0,X1) [cnf transformation 36] 81.29/80.21 83. ($true = sK13 @ X1 @ X0 @ X7) | ($true != sK13 @ X1 @ X0 @ X6) | ($true != X1 @ X6 @ X7) | ~sP2(X0,X1) [cnf transformation 36] 81.29/80.21 84. ($true = sK13 @ X1 @ X0 @ X7) | ($true != sK13 @ X1 @ X0 @ X6) | ($true != X0 @ X6 @ X7) | ~sP2(X0,X1) [cnf transformation 36] 81.29/80.21 85. ($true != sK13 @ X1 @ X0 @ (sK12 @ X1 @ X0)) | ~sP2(X0,X1) [cnf transformation 36] 81.29/80.21 86. ($true = X3 @ X0) | ($true = X2 @ X1 @ (sK17 @ X3 @ X2 @ X1)) | ($true = X3 @ (sK18 @ X3 @ X2)) | ~sP1(X0,X1,X2) [cnf transformation 41] 81.29/80.21 87. ($true = X3 @ X0) | ($true = X2 @ X1 @ (sK17 @ X3 @ X2 @ X1)) | ($true = X2 @ (sK18 @ X3 @ X2) @ (sK19 @ X3 @ X2)) | ~sP1(X0,X1,X2) [cnf transformation 41] 81.29/80.21 88. ($true = X3 @ X0) | ($true = X2 @ X1 @ (sK17 @ X3 @ X2 @ X1)) | ($true != X3 @ (sK19 @ X3 @ X2)) | ~sP1(X0,X1,X2) [cnf transformation 41] 81.29/80.21 89. ($true = X3 @ X0) | ($true != X3 @ (sK17 @ X3 @ X2 @ X1)) | ($true = X3 @ (sK18 @ X3 @ X2)) | ~sP1(X0,X1,X2) [cnf transformation 41] 81.29/80.21 90. ($true = X3 @ X0) | ($true != X3 @ (sK17 @ X3 @ X2 @ X1)) | ($true = X2 @ (sK18 @ X3 @ X2) @ (sK19 @ X3 @ X2)) | ~sP1(X0,X1,X2) [cnf transformation 41] 81.29/80.21 91. ($true = X3 @ X0) | ($true != X3 @ (sK17 @ X3 @ X2 @ X1)) | ($true != X3 @ (sK19 @ X3 @ X2)) | ~sP1(X0,X1,X2) [cnf transformation 41] 81.29/80.21 92. ($true = X4 @ X0) | ($true = X4 @ (sK20 @ X4 @ X2 @ X1)) | ($true = X2 @ X3 @ (sK22 @ X4 @ X3 @ X2 @ X1)) | ($true = X1 @ X3 @ (sK22 @ X4 @ X3 @ X2 @ X1)) | ~sP0(X0,X1,X2,X3) [cnf transformation 46] 81.29/80.21 93. ($true = X4 @ X0) | ($true = X4 @ (sK20 @ X4 @ X2 @ X1)) | ($true != X4 @ (sK22 @ X4 @ X3 @ X2 @ X1)) | ~sP0(X0,X1,X2,X3) [cnf transformation 46] 81.29/80.21 94. ($true = X4 @ X0) | ($true = X1 @ (sK20 @ X4 @ X2 @ X1) @ (sK21 @ X4 @ X2 @ X1)) | ($true = X2 @ (sK20 @ X4 @ X2 @ X1) @ (sK21 @ X4 @ X2 @ X1)) | ($true = X2 @ X3 @ (sK22 @ X4 @ X3 @ X2 @ X1)) | ($true = X1 @ X3 @ (sK22 @ X4 @ X3 @ X2 @ X1)) | ~sP0(X0,X1,X2,X3) [cnf transformation 46] 81.29/80.21 95. ($true = X4 @ X0) | ($true = X1 @ (sK20 @ X4 @ X2 @ X1) @ (sK21 @ X4 @ X2 @ X1)) | ($true = X2 @ (sK20 @ X4 @ X2 @ X1) @ (sK21 @ X4 @ X2 @ X1)) | ($true != X4 @ (sK22 @ X4 @ X3 @ X2 @ X1)) | ~sP0(X0,X1,X2,X3) [cnf transformation 46] 81.29/80.21 96. ($true = X4 @ X0) | ($true != X4 @ (sK21 @ X4 @ X2 @ X1)) | ($true = X2 @ X3 @ (sK22 @ X4 @ X3 @ X2 @ X1)) | ($true = X1 @ X3 @ (sK22 @ X4 @ X3 @ X2 @ X1)) | ~sP0(X0,X1,X2,X3) [cnf transformation 46] 81.29/80.21 97. ($true = X4 @ X0) | ($true != X4 @ (sK21 @ X4 @ X2 @ X1)) | ($true != X4 @ (sK22 @ X4 @ X3 @ X2 @ X1)) | ~sP0(X0,X1,X2,X3) [cnf transformation 46] 81.29/80.21 98. ($true = X8 @ sK26) | ($true = sK24 @ sK25 @ (sK28 @ X8)) | ($true = sK23 @ sK25 @ (sK28 @ X8)) | ($true = X8 @ (sK29 @ X8)) | sP3(sK23,sK24) | sP2(sK23,sK24) [cnf transformation 52] 81.29/80.21 99. ($true = X8 @ sK26) | ($true = sK24 @ sK25 @ (sK28 @ X8)) | ($true = sK23 @ sK25 @ (sK28 @ X8)) | ($true = sK24 @ (sK29 @ X8) @ (sK30 @ X8)) | ($true = sK23 @ (sK29 @ X8) @ (sK30 @ X8)) | sP3(sK23,sK24) | sP2(sK23,sK24) [cnf transformation 52] 81.29/80.21 100. ($true = X8 @ sK26) | ($true = sK24 @ sK25 @ (sK28 @ X8)) | ($true = sK23 @ sK25 @ (sK28 @ X8)) | ($true != X8 @ (sK30 @ X8)) | sP3(sK23,sK24) | sP2(sK23,sK24) [cnf transformation 52] 81.29/80.21 101. ($true = X8 @ sK26) | ($true != X8 @ (sK28 @ X8)) | ($true = X8 @ (sK29 @ X8)) | sP3(sK23,sK24) | sP2(sK23,sK24) [cnf transformation 52] 81.29/80.21 102. ($true = X8 @ sK26) | ($true != X8 @ (sK28 @ X8)) | ($true = sK24 @ (sK29 @ X8) @ (sK30 @ X8)) | ($true = sK23 @ (sK29 @ X8) @ (sK30 @ X8)) | sP3(sK23,sK24) | sP2(sK23,sK24) [cnf transformation 52] 81.29/80.21 103. ($true = X8 @ sK26) | ($true != X8 @ (sK28 @ X8)) | ($true != X8 @ (sK30 @ X8)) | sP3(sK23,sK24) | sP2(sK23,sK24) [cnf transformation 52] 81.29/80.21 104. ($true = sK27 @ X7) | ($true != sK24 @ X6 @ X7) | ($true != sK27 @ X6) [cnf transformation 52] 81.29/80.21 105. ($true = sK27 @ X7) | ($true != sK23 @ X6 @ X7) | ($true != sK27 @ X6) [cnf transformation 52] 81.29/80.21 106. ($true = sK27 @ X5) | ($true != sK23 @ sK25 @ X5) [cnf transformation 52] 81.29/80.21 107. ($true = sK27 @ X5) | ($true != sK24 @ sK25 @ X5) [cnf transformation 52] 81.29/80.21 108. ($true != sK27 @ sK26) [cnf transformation 52] 81.29/80.21 121. ! [X1 : $o,X0 : $o] : (sQ33_eqProxy(X0,X1) <=> (X0 = X1)) [equality proxy definition] 81.29/80.21 123. ~sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK6,X1),X0),vAPP_24_7(vAPP_25_7(sK5,X1),X0))) | ~sP3(X0,X1) [equality proxy replacement 73,121] 81.29/80.21 124. sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK6,X1),X0),X5)) | ~sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(X0,vAPP_24_7(vAPP_25_7(sK4,X1),X0)),X5)) | ~sP3(X0,X1) [equality proxy replacement 72,121,121] 81.29/80.21 125. sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK6,X1),X0),X5)) | ~sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(X1,vAPP_24_7(vAPP_25_7(sK4,X1),X0)),X5)) | ~sP3(X0,X1) [equality proxy replacement 71,121,121] 81.29/80.21 126. sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK6,X1),X0),X7)) | ~sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK6,X1),X0),X6)) | ~sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(X1,X6),X7)) | ~sP3(X0,X1) [equality proxy replacement 70,121,121,121] 81.29/80.21 127. sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK6,X1),X0),X7)) | ~sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK6,X1),X0),X6)) | ~sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(X0,X6),X7)) | ~sP3(X0,X1) [equality proxy replacement 69,121,121,121] 81.29/80.21 128. sQ33_eqProxy($true,vAPP_6_5(X8,vAPP_24_7(vAPP_25_7(sK5,X1),X0))) | ~sQ33_eqProxy($true,vAPP_6_5(X8,vAPP_24_7(vAPP_25_7(vAPP_27_6(sK7,X8),X1),X0))) | ~sQ33_eqProxy($true,vAPP_6_5(X8,vAPP_24_7(vAPP_28_6(sK9,X8),X1))) | sP1(vAPP_24_7(vAPP_25_7(sK5,X1),X0),vAPP_24_7(vAPP_25_7(sK4,X1),X0),X0) | ~sP3(X0,X1) [equality proxy replacement 68,121,121,121] 81.29/80.21 129. sQ33_eqProxy($true,vAPP_6_5(X8,vAPP_24_7(vAPP_25_7(sK5,X1),X0))) | ~sQ33_eqProxy($true,vAPP_6_5(X8,vAPP_24_7(vAPP_25_7(vAPP_27_6(sK7,X8),X1),X0))) | sQ33_eqProxy($true,vAPP_6_5(X8,vAPP_24_7(vAPP_28_6(sK8,X8),X1))) | sP1(vAPP_24_7(vAPP_25_7(sK5,X1),X0),vAPP_24_7(vAPP_25_7(sK4,X1),X0),X0) | ~sP3(X0,X1) [equality proxy replacement 67,121,121,121] 81.29/80.21 130. sQ33_eqProxy($true,vAPP_6_5(X8,vAPP_24_7(vAPP_25_7(sK5,X1),X0))) | ~sQ33_eqProxy($true,vAPP_6_5(X8,vAPP_24_7(vAPP_25_7(vAPP_27_6(sK7,X8),X1),X0))) | sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(X1,vAPP_24_7(vAPP_28_6(sK8,X8),X1)),vAPP_24_7(vAPP_28_6(sK9,X8),X1))) | sP1(vAPP_24_7(vAPP_25_7(sK5,X1),X0),vAPP_24_7(vAPP_25_7(sK4,X1),X0),X0) | ~sP3(X0,X1) [equality proxy replacement 66,121,121,121] 81.29/80.21 131. sQ33_eqProxy($true,vAPP_6_5(X8,vAPP_24_7(vAPP_25_7(sK5,X1),X0))) | sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(X1,vAPP_24_7(vAPP_25_7(sK4,X1),X0)),vAPP_24_7(vAPP_25_7(vAPP_27_6(sK7,X8),X1),X0))) | ~sQ33_eqProxy($true,vAPP_6_5(X8,vAPP_24_7(vAPP_28_6(sK9,X8),X1))) | sP1(vAPP_24_7(vAPP_25_7(sK5,X1),X0),vAPP_24_7(vAPP_25_7(sK4,X1),X0),X0) | ~sP3(X0,X1) [equality proxy replacement 65,121,121,121] 81.29/80.21 132. sQ33_eqProxy($true,vAPP_6_5(X8,vAPP_24_7(vAPP_25_7(sK5,X1),X0))) | sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(X1,vAPP_24_7(vAPP_25_7(sK4,X1),X0)),vAPP_24_7(vAPP_25_7(vAPP_27_6(sK7,X8),X1),X0))) | sQ33_eqProxy($true,vAPP_6_5(X8,vAPP_24_7(vAPP_28_6(sK8,X8),X1))) | sP1(vAPP_24_7(vAPP_25_7(sK5,X1),X0),vAPP_24_7(vAPP_25_7(sK4,X1),X0),X0) | ~sP3(X0,X1) [equality proxy replacement 64,121,121,121] 81.29/80.21 133. sQ33_eqProxy($true,vAPP_6_5(X8,vAPP_24_7(vAPP_25_7(sK5,X1),X0))) | sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(X1,vAPP_24_7(vAPP_25_7(sK4,X1),X0)),vAPP_24_7(vAPP_25_7(vAPP_27_6(sK7,X8),X1),X0))) | sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(X1,vAPP_24_7(vAPP_28_6(sK8,X8),X1)),vAPP_24_7(vAPP_28_6(sK9,X8),X1))) | sP1(vAPP_24_7(vAPP_25_7(sK5,X1),X0),vAPP_24_7(vAPP_25_7(sK4,X1),X0),X0) | ~sP3(X0,X1) [equality proxy replacement 63,121,121,121] 81.29/80.21 134. ~sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK13,X1),X0),vAPP_24_7(vAPP_25_7(sK12,X1),X0))) | ~sP2(X0,X1) [equality proxy replacement 85,121] 81.29/80.21 135. sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK13,X1),X0),X7)) | ~sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK13,X1),X0),X6)) | ~sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(X0,X6),X7)) | ~sP2(X0,X1) [equality proxy replacement 84,121,121,121] 81.29/80.21 136. sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK13,X1),X0),X7)) | ~sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK13,X1),X0),X6)) | ~sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(X1,X6),X7)) | ~sP2(X0,X1) [equality proxy replacement 83,121,121,121] 81.29/80.21 137. sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK13,X1),X0),X8)) | ~sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(X1,vAPP_24_7(vAPP_25_7(sK10,X1),X0)),X8)) | ~sP2(X0,X1) [equality proxy replacement 82,121,121] 81.29/80.21 138. sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK13,X1),X0),X8)) | ~sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(X0,vAPP_24_7(vAPP_25_7(sK10,X1),X0)),X8)) | ~sP2(X0,X1) [equality proxy replacement 81,121,121] 81.29/80.21 139. sQ33_eqProxy($true,vAPP_6_5(X9,vAPP_24_7(vAPP_25_7(sK12,X1),X0))) | ~sQ33_eqProxy($true,vAPP_6_5(X9,vAPP_24_7(vAPP_25_7(vAPP_27_6(sK15,X9),X1),X0))) | ~sQ33_eqProxy($true,vAPP_6_5(X9,vAPP_24_7(vAPP_25_7(vAPP_27_6(sK16,X9),X1),X0))) | ~sP2(X0,X1) [equality proxy replacement 80,121,121,121] 81.29/80.21 140. sQ33_eqProxy($true,vAPP_6_5(X9,vAPP_24_7(vAPP_25_7(sK12,X1),X0))) | ~sQ33_eqProxy($true,vAPP_6_5(X9,vAPP_24_7(vAPP_25_7(vAPP_27_6(sK15,X9),X1),X0))) | sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(X1,vAPP_24_7(vAPP_25_7(sK11,X1),X0)),vAPP_24_7(vAPP_25_7(vAPP_27_6(sK16,X9),X1),X0))) | sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(X0,vAPP_24_7(vAPP_25_7(sK11,X1),X0)),vAPP_24_7(vAPP_25_7(vAPP_27_6(sK16,X9),X1),X0))) | ~sP2(X0,X1) [equality proxy replacement 79,121,121,121,121] 81.29/80.21 141. sQ33_eqProxy($true,vAPP_6_5(X9,vAPP_24_7(vAPP_25_7(sK12,X1),X0))) | sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(X0,vAPP_24_7(vAPP_25_7(vAPP_27_6(sK14,X9),X1),X0)),vAPP_24_7(vAPP_25_7(vAPP_27_6(sK15,X9),X1),X0))) | sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(X1,vAPP_24_7(vAPP_25_7(vAPP_27_6(sK14,X9),X1),X0)),vAPP_24_7(vAPP_25_7(vAPP_27_6(sK15,X9),X1),X0))) | ~sQ33_eqProxy($true,vAPP_6_5(X9,vAPP_24_7(vAPP_25_7(vAPP_27_6(sK16,X9),X1),X0))) | ~sP2(X0,X1) [equality proxy replacement 78,121,121,121,121] 81.29/80.21 142. sQ33_eqProxy($true,vAPP_6_5(X9,vAPP_24_7(vAPP_25_7(sK12,X1),X0))) | sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(X0,vAPP_24_7(vAPP_25_7(vAPP_27_6(sK14,X9),X1),X0)),vAPP_24_7(vAPP_25_7(vAPP_27_6(sK15,X9),X1),X0))) | sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(X1,vAPP_24_7(vAPP_25_7(vAPP_27_6(sK14,X9),X1),X0)),vAPP_24_7(vAPP_25_7(vAPP_27_6(sK15,X9),X1),X0))) | sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(X1,vAPP_24_7(vAPP_25_7(sK11,X1),X0)),vAPP_24_7(vAPP_25_7(vAPP_27_6(sK16,X9),X1),X0))) | sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(X0,vAPP_24_7(vAPP_25_7(sK11,X1),X0)),vAPP_24_7(vAPP_25_7(vAPP_27_6(sK16,X9),X1),X0))) | ~sP2(X0,X1) [equality proxy replacement 77,121,121,121,121,121] 81.29/80.21 143. sQ33_eqProxy($true,vAPP_6_5(X9,vAPP_24_7(vAPP_25_7(sK12,X1),X0))) | sQ33_eqProxy($true,vAPP_6_5(X9,vAPP_24_7(vAPP_25_7(vAPP_27_6(sK14,X9),X1),X0))) | ~sQ33_eqProxy($true,vAPP_6_5(X9,vAPP_24_7(vAPP_25_7(vAPP_27_6(sK16,X9),X1),X0))) | ~sP2(X0,X1) [equality proxy replacement 76,121,121,121] 81.29/80.21 144. sQ33_eqProxy($true,vAPP_6_5(X9,vAPP_24_7(vAPP_25_7(sK12,X1),X0))) | sQ33_eqProxy($true,vAPP_6_5(X9,vAPP_24_7(vAPP_25_7(vAPP_27_6(sK14,X9),X1),X0))) | sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(X1,vAPP_24_7(vAPP_25_7(sK11,X1),X0)),vAPP_24_7(vAPP_25_7(vAPP_27_6(sK16,X9),X1),X0))) | sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(X0,vAPP_24_7(vAPP_25_7(sK11,X1),X0)),vAPP_24_7(vAPP_25_7(vAPP_27_6(sK16,X9),X1),X0))) | ~sP2(X0,X1) [equality proxy replacement 75,121,121,121,121] 81.29/80.21 145. sQ33_eqProxy($true,vAPP_6_5(X3,X0)) | ~sQ33_eqProxy($true,vAPP_6_5(X3,vAPP_29_5(vAPP_30_7(vAPP_31_6(sK17,X3),X2),X1))) | ~sQ33_eqProxy($true,vAPP_6_5(X3,vAPP_24_7(vAPP_28_6(sK19,X3),X2))) | ~sP1(X0,X1,X2) [equality proxy replacement 91,121,121,121] 81.29/80.21 146. sQ33_eqProxy($true,vAPP_6_5(X3,X0)) | ~sQ33_eqProxy($true,vAPP_6_5(X3,vAPP_29_5(vAPP_30_7(vAPP_31_6(sK17,X3),X2),X1))) | sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(X2,vAPP_24_7(vAPP_28_6(sK18,X3),X2)),vAPP_24_7(vAPP_28_6(sK19,X3),X2))) | ~sP1(X0,X1,X2) [equality proxy replacement 90,121,121,121] 81.29/80.21 147. sQ33_eqProxy($true,vAPP_6_5(X3,X0)) | ~sQ33_eqProxy($true,vAPP_6_5(X3,vAPP_29_5(vAPP_30_7(vAPP_31_6(sK17,X3),X2),X1))) | sQ33_eqProxy($true,vAPP_6_5(X3,vAPP_24_7(vAPP_28_6(sK18,X3),X2))) | ~sP1(X0,X1,X2) [equality proxy replacement 89,121,121,121] 81.29/80.21 148. sQ33_eqProxy($true,vAPP_6_5(X3,X0)) | sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(X2,X1),vAPP_29_5(vAPP_30_7(vAPP_31_6(sK17,X3),X2),X1))) | ~sQ33_eqProxy($true,vAPP_6_5(X3,vAPP_24_7(vAPP_28_6(sK19,X3),X2))) | ~sP1(X0,X1,X2) [equality proxy replacement 88,121,121,121] 81.29/80.21 149. sQ33_eqProxy($true,vAPP_6_5(X3,X0)) | sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(X2,X1),vAPP_29_5(vAPP_30_7(vAPP_31_6(sK17,X3),X2),X1))) | sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(X2,vAPP_24_7(vAPP_28_6(sK18,X3),X2)),vAPP_24_7(vAPP_28_6(sK19,X3),X2))) | ~sP1(X0,X1,X2) [equality proxy replacement 87,121,121,121] 81.29/80.21 150. sQ33_eqProxy($true,vAPP_6_5(X3,X0)) | sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(X2,X1),vAPP_29_5(vAPP_30_7(vAPP_31_6(sK17,X3),X2),X1))) | sQ33_eqProxy($true,vAPP_6_5(X3,vAPP_24_7(vAPP_28_6(sK18,X3),X2))) | ~sP1(X0,X1,X2) [equality proxy replacement 86,121,121,121] 81.29/80.21 151. sQ33_eqProxy($true,vAPP_6_5(X4,X0)) | ~sQ33_eqProxy($true,vAPP_6_5(X4,vAPP_24_7(vAPP_25_7(vAPP_27_6(sK21,X4),X2),X1))) | ~sQ33_eqProxy($true,vAPP_6_5(X4,vAPP_24_7(vAPP_25_7(vAPP_32_5(vAPP_33_6(sK22,X4),X3),X2),X1))) | ~sP0(X0,X1,X2,X3) [equality proxy replacement 97,121,121,121] 81.29/80.21 152. sQ33_eqProxy($true,vAPP_6_5(X4,X0)) | ~sQ33_eqProxy($true,vAPP_6_5(X4,vAPP_24_7(vAPP_25_7(vAPP_27_6(sK21,X4),X2),X1))) | sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(X2,X3),vAPP_24_7(vAPP_25_7(vAPP_32_5(vAPP_33_6(sK22,X4),X3),X2),X1))) | sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(X1,X3),vAPP_24_7(vAPP_25_7(vAPP_32_5(vAPP_33_6(sK22,X4),X3),X2),X1))) | ~sP0(X0,X1,X2,X3) [equality proxy replacement 96,121,121,121,121] 81.29/80.21 153. sQ33_eqProxy($true,vAPP_6_5(X4,X0)) | sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(X1,vAPP_24_7(vAPP_25_7(vAPP_27_6(sK20,X4),X2),X1)),vAPP_24_7(vAPP_25_7(vAPP_27_6(sK21,X4),X2),X1))) | sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(X2,vAPP_24_7(vAPP_25_7(vAPP_27_6(sK20,X4),X2),X1)),vAPP_24_7(vAPP_25_7(vAPP_27_6(sK21,X4),X2),X1))) | ~sQ33_eqProxy($true,vAPP_6_5(X4,vAPP_24_7(vAPP_25_7(vAPP_32_5(vAPP_33_6(sK22,X4),X3),X2),X1))) | ~sP0(X0,X1,X2,X3) [equality proxy replacement 95,121,121,121,121] 81.29/80.21 154. sQ33_eqProxy($true,vAPP_6_5(X4,X0)) | sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(X1,vAPP_24_7(vAPP_25_7(vAPP_27_6(sK20,X4),X2),X1)),vAPP_24_7(vAPP_25_7(vAPP_27_6(sK21,X4),X2),X1))) | sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(X2,vAPP_24_7(vAPP_25_7(vAPP_27_6(sK20,X4),X2),X1)),vAPP_24_7(vAPP_25_7(vAPP_27_6(sK21,X4),X2),X1))) | sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(X2,X3),vAPP_24_7(vAPP_25_7(vAPP_32_5(vAPP_33_6(sK22,X4),X3),X2),X1))) | sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(X1,X3),vAPP_24_7(vAPP_25_7(vAPP_32_5(vAPP_33_6(sK22,X4),X3),X2),X1))) | ~sP0(X0,X1,X2,X3) [equality proxy replacement 94,121,121,121,121,121] 81.29/80.21 155. sQ33_eqProxy($true,vAPP_6_5(X4,X0)) | sQ33_eqProxy($true,vAPP_6_5(X4,vAPP_24_7(vAPP_25_7(vAPP_27_6(sK20,X4),X2),X1))) | ~sQ33_eqProxy($true,vAPP_6_5(X4,vAPP_24_7(vAPP_25_7(vAPP_32_5(vAPP_33_6(sK22,X4),X3),X2),X1))) | ~sP0(X0,X1,X2,X3) [equality proxy replacement 93,121,121,121] 81.29/80.21 156. sQ33_eqProxy($true,vAPP_6_5(X4,X0)) | sQ33_eqProxy($true,vAPP_6_5(X4,vAPP_24_7(vAPP_25_7(vAPP_27_6(sK20,X4),X2),X1))) | sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(X2,X3),vAPP_24_7(vAPP_25_7(vAPP_32_5(vAPP_33_6(sK22,X4),X3),X2),X1))) | sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(X1,X3),vAPP_24_7(vAPP_25_7(vAPP_32_5(vAPP_33_6(sK22,X4),X3),X2),X1))) | ~sP0(X0,X1,X2,X3) [equality proxy replacement 92,121,121,121,121] 81.29/80.21 157. ~sQ33_eqProxy($true,vAPP_6_5(sK27,sK26)) [equality proxy replacement 108,121] 81.29/80.21 158. sQ33_eqProxy($true,vAPP_6_5(sK27,X5)) | ~sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK24,sK25),X5)) [equality proxy replacement 107,121,121] 81.29/80.21 159. sQ33_eqProxy($true,vAPP_6_5(sK27,X5)) | ~sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK23,sK25),X5)) [equality proxy replacement 106,121,121] 81.29/80.21 160. sQ33_eqProxy($true,vAPP_6_5(sK27,X7)) | ~sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK23,X6),X7)) | ~sQ33_eqProxy($true,vAPP_6_5(sK27,X6)) [equality proxy replacement 105,121,121,121] 81.29/80.21 161. sQ33_eqProxy($true,vAPP_6_5(sK27,X7)) | ~sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK24,X6),X7)) | ~sQ33_eqProxy($true,vAPP_6_5(sK27,X6)) [equality proxy replacement 104,121,121,121] 81.29/80.21 162. sQ33_eqProxy($true,vAPP_6_5(X8,sK26)) | ~sQ33_eqProxy($true,vAPP_6_5(X8,vAPP_34_6(sK28,X8))) | ~sQ33_eqProxy($true,vAPP_6_5(X8,vAPP_34_6(sK30,X8))) | sP3(sK23,sK24) | sP2(sK23,sK24) [equality proxy replacement 103,121,121,121] 81.29/80.21 163. sQ33_eqProxy($true,vAPP_6_5(X8,sK26)) | ~sQ33_eqProxy($true,vAPP_6_5(X8,vAPP_34_6(sK28,X8))) | sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK24,vAPP_34_6(sK29,X8)),vAPP_34_6(sK30,X8))) | sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK23,vAPP_34_6(sK29,X8)),vAPP_34_6(sK30,X8))) | sP3(sK23,sK24) | sP2(sK23,sK24) [equality proxy replacement 102,121,121,121,121] 81.29/80.21 164. sQ33_eqProxy($true,vAPP_6_5(X8,sK26)) | ~sQ33_eqProxy($true,vAPP_6_5(X8,vAPP_34_6(sK28,X8))) | sQ33_eqProxy($true,vAPP_6_5(X8,vAPP_34_6(sK29,X8))) | sP3(sK23,sK24) | sP2(sK23,sK24) [equality proxy replacement 101,121,121,121] 81.29/80.21 165. sQ33_eqProxy($true,vAPP_6_5(X8,sK26)) | sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK24,sK25),vAPP_34_6(sK28,X8))) | sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK23,sK25),vAPP_34_6(sK28,X8))) | ~sQ33_eqProxy($true,vAPP_6_5(X8,vAPP_34_6(sK30,X8))) | sP3(sK23,sK24) | sP2(sK23,sK24) [equality proxy replacement 100,121,121,121,121] 81.29/80.21 166. sQ33_eqProxy($true,vAPP_6_5(X8,sK26)) | sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK24,sK25),vAPP_34_6(sK28,X8))) | sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK23,sK25),vAPP_34_6(sK28,X8))) | sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK24,vAPP_34_6(sK29,X8)),vAPP_34_6(sK30,X8))) | sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK23,vAPP_34_6(sK29,X8)),vAPP_34_6(sK30,X8))) | sP3(sK23,sK24) | sP2(sK23,sK24) [equality proxy replacement 99,121,121,121,121,121] 81.29/80.21 167. sQ33_eqProxy($true,vAPP_6_5(X8,sK26)) | sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK24,sK25),vAPP_34_6(sK28,X8))) | sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK23,sK25),vAPP_34_6(sK28,X8))) | sQ33_eqProxy($true,vAPP_6_5(X8,vAPP_34_6(sK29,X8))) | sP3(sK23,sK24) | sP2(sK23,sK24) [equality proxy replacement 98,121,121,121,121] 81.29/80.21 172. 0 <=> sQ33_eqProxy($true,vAPP_6_5(sK27,sK26)) [avatar definition] 81.29/80.21 175. 1 <=> ~sQ33_eqProxy($true,vAPP_6_5(sK27,sK26)) [avatar definition] 81.29/80.21 176. ~sQ33_eqProxy($true,vAPP_6_5(sK27,sK26)) <- {1} [avatar component clause 175] 81.29/80.21 177. ~1 [avatar split clause 157,175] 81.29/80.21 179. 3 <=> ~sP2(sK23,sK24) [avatar definition] 81.29/80.21 182. 2 <=> sP2(sK23,sK24) [avatar definition] 81.29/80.21 183. sP2(sK23,sK24) <- {2} [avatar component clause 182] 81.29/80.21 185. 5 <=> ~sP3(sK23,sK24) [avatar definition] 81.29/80.21 188. 4 <=> sP3(sK23,sK24) [avatar definition] 81.29/80.21 189. sP3(sK23,sK24) <- {4} [avatar component clause 188] 81.29/80.21 191. 6 <=> ! [X8 : (a > $o)] : (sQ33_eqProxy($true,vAPP_6_5(X8,sK26)) | ~sQ33_eqProxy($true,vAPP_6_5(X8,vAPP_34_6(sK30,X8))) | ~sQ33_eqProxy($true,vAPP_6_5(X8,vAPP_34_6(sK28,X8)))) [avatar definition] 81.29/80.21 192. sQ33_eqProxy($true,vAPP_6_5(X8,sK26)) | ~sQ33_eqProxy($true,vAPP_6_5(X8,vAPP_34_6(sK30,X8))) | ~sQ33_eqProxy($true,vAPP_6_5(X8,vAPP_34_6(sK28,X8))) <- {6} [avatar component clause 191] 81.29/80.21 193. 2 | 4 | 6 [avatar split clause 162,191,188,182] 81.29/80.21 195. 8 <=> ! [X8 : (a > $o)] : (sQ33_eqProxy($true,vAPP_6_5(X8,sK26)) | sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK23,vAPP_34_6(sK29,X8)),vAPP_34_6(sK30,X8))) | sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK24,vAPP_34_6(sK29,X8)),vAPP_34_6(sK30,X8))) | ~sQ33_eqProxy($true,vAPP_6_5(X8,vAPP_34_6(sK28,X8)))) [avatar definition] 81.29/80.21 196. sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK24,vAPP_34_6(sK29,X8)),vAPP_34_6(sK30,X8))) | sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK23,vAPP_34_6(sK29,X8)),vAPP_34_6(sK30,X8))) | sQ33_eqProxy($true,vAPP_6_5(X8,sK26)) | ~sQ33_eqProxy($true,vAPP_6_5(X8,vAPP_34_6(sK28,X8))) <- {8} [avatar component clause 195] 81.29/80.21 197. 2 | 4 | 8 [avatar split clause 163,195,188,182] 81.29/80.21 199. 10 <=> ! [X8 : (a > $o)] : (sQ33_eqProxy($true,vAPP_6_5(X8,sK26)) | sQ33_eqProxy($true,vAPP_6_5(X8,vAPP_34_6(sK29,X8))) | ~sQ33_eqProxy($true,vAPP_6_5(X8,vAPP_34_6(sK28,X8)))) [avatar definition] 81.29/80.21 200. sQ33_eqProxy($true,vAPP_6_5(X8,vAPP_34_6(sK29,X8))) | sQ33_eqProxy($true,vAPP_6_5(X8,sK26)) | ~sQ33_eqProxy($true,vAPP_6_5(X8,vAPP_34_6(sK28,X8))) <- {10} [avatar component clause 199] 81.29/80.21 201. 2 | 4 | 10 [avatar split clause 164,199,188,182] 81.29/80.21 203. 12 <=> ! [X8 : (a > $o)] : (sQ33_eqProxy($true,vAPP_6_5(X8,sK26)) | ~sQ33_eqProxy($true,vAPP_6_5(X8,vAPP_34_6(sK30,X8))) | sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK23,sK25),vAPP_34_6(sK28,X8))) | sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK24,sK25),vAPP_34_6(sK28,X8)))) [avatar definition] 81.29/80.21 204. sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK24,sK25),vAPP_34_6(sK28,X8))) | ~sQ33_eqProxy($true,vAPP_6_5(X8,vAPP_34_6(sK30,X8))) | sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK23,sK25),vAPP_34_6(sK28,X8))) | sQ33_eqProxy($true,vAPP_6_5(X8,sK26)) <- {12} [avatar component clause 203] 81.29/80.21 205. 2 | 4 | 12 [avatar split clause 165,203,188,182] 81.29/80.21 207. 14 <=> ! [X8 : (a > $o)] : (sQ33_eqProxy($true,vAPP_6_5(X8,sK26)) | sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK23,vAPP_34_6(sK29,X8)),vAPP_34_6(sK30,X8))) | sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK24,vAPP_34_6(sK29,X8)),vAPP_34_6(sK30,X8))) | sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK23,sK25),vAPP_34_6(sK28,X8))) | sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK24,sK25),vAPP_34_6(sK28,X8)))) [avatar definition] 81.29/80.21 208. sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK24,vAPP_34_6(sK29,X8)),vAPP_34_6(sK30,X8))) | sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK23,vAPP_34_6(sK29,X8)),vAPP_34_6(sK30,X8))) | sQ33_eqProxy($true,vAPP_6_5(X8,sK26)) | sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK23,sK25),vAPP_34_6(sK28,X8))) | sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK24,sK25),vAPP_34_6(sK28,X8))) <- {14} [avatar component clause 207] 81.29/80.21 209. 2 | 4 | 14 [avatar split clause 166,207,188,182] 81.29/80.21 211. 16 <=> ! [X8 : (a > $o)] : (sQ33_eqProxy($true,vAPP_6_5(X8,sK26)) | sQ33_eqProxy($true,vAPP_6_5(X8,vAPP_34_6(sK29,X8))) | sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK23,sK25),vAPP_34_6(sK28,X8))) | sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK24,sK25),vAPP_34_6(sK28,X8)))) [avatar definition] 81.29/80.21 212. sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK24,sK25),vAPP_34_6(sK28,X8))) | sQ33_eqProxy($true,vAPP_6_5(X8,vAPP_34_6(sK29,X8))) | sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK23,sK25),vAPP_34_6(sK28,X8))) | sQ33_eqProxy($true,vAPP_6_5(X8,sK26)) <- {16} [avatar component clause 211] 81.29/80.21 213. 2 | 4 | 16 [avatar split clause 167,211,188,182] 81.29/80.21 415. ~sQ33_eqProxy($true,vAPP_6_5(sK27,vAPP_34_6(sK30,sK27))) | ~sQ33_eqProxy($true,vAPP_6_5(sK27,vAPP_34_6(sK28,sK27))) <- {1, 6} [resolution 192,176] 81.29/80.21 446. 41 <=> ~sQ33_eqProxy($true,vAPP_6_5(sK27,vAPP_34_6(sK28,sK27))) [avatar definition] 81.29/80.21 447. ~sQ33_eqProxy($true,vAPP_6_5(sK27,vAPP_34_6(sK28,sK27))) <- {41} [avatar component clause 446] 81.29/80.21 452. 43 <=> ~sQ33_eqProxy($true,vAPP_6_5(sK27,vAPP_34_6(sK30,sK27))) [avatar definition] 81.29/80.21 453. ~sQ33_eqProxy($true,vAPP_6_5(sK27,vAPP_34_6(sK30,sK27))) <- {43} [avatar component clause 452] 81.29/80.21 454. ~41 | ~43 | 1 | ~6 [avatar split clause 415,191,175,452,446] 81.29/80.21 458. ~sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK23,sK25),vAPP_34_6(sK28,sK27))) <- {41} [resolution 447,159] 81.29/80.21 459. ~sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK24,sK25),vAPP_34_6(sK28,sK27))) <- {41} [resolution 447,158] 81.29/80.21 480. 46 <=> sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK23,sK25),vAPP_34_6(sK28,sK27))) [avatar definition] 81.29/80.21 483. 47 <=> ~sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK23,sK25),vAPP_34_6(sK28,sK27))) [avatar definition] 81.29/80.21 485. ~47 | 41 [avatar split clause 458,446,483] 81.29/80.21 487. 48 <=> sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK24,sK25),vAPP_34_6(sK28,sK27))) [avatar definition] 81.29/80.21 490. 49 <=> ~sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK24,sK25),vAPP_34_6(sK28,sK27))) [avatar definition] 81.29/80.21 491. ~sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK24,sK25),vAPP_34_6(sK28,sK27))) <- {49} [avatar component clause 490] 81.29/80.21 492. ~49 | 41 [avatar split clause 459,446,490] 81.29/80.21 641. ~sQ33_eqProxy($true,vAPP_6_5(sK27,vAPP_34_6(sK30,sK27))) | sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK23,sK25),vAPP_34_6(sK28,sK27))) | sQ33_eqProxy($true,vAPP_6_5(sK27,sK26)) <- {12, 49} [resolution 204,491] 81.29/80.21 648. 0 | 46 | ~43 | ~12 | 49 [avatar split clause 641,490,203,452,480,172] 81.29/80.21 664. ~sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK24,X0),vAPP_34_6(sK30,sK27))) | ~sQ33_eqProxy($true,vAPP_6_5(sK27,X0)) <- {43} [resolution 453,161] 81.29/80.21 665. ~sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK23,X1),vAPP_34_6(sK30,sK27))) | ~sQ33_eqProxy($true,vAPP_6_5(sK27,X1)) <- {43} [resolution 453,160] 81.29/80.21 781. sQ33_eqProxy($true,vAPP_6_5(sK27,vAPP_34_6(sK29,sK27))) | sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK23,sK25),vAPP_34_6(sK28,sK27))) | sQ33_eqProxy($true,vAPP_6_5(sK27,sK26)) <- {16, 49} [resolution 212,491] 81.29/80.21 789. 83 <=> ~sQ33_eqProxy($true,vAPP_6_5(sK27,vAPP_34_6(sK29,sK27))) [avatar definition] 81.29/80.21 790. ~sQ33_eqProxy($true,vAPP_6_5(sK27,vAPP_34_6(sK29,sK27))) <- {83} [avatar component clause 789] 81.29/80.21 792. 82 <=> sQ33_eqProxy($true,vAPP_6_5(sK27,vAPP_34_6(sK29,sK27))) [avatar definition] 81.29/80.21 794. 0 | 46 | 82 | ~16 | 49 [avatar split clause 781,490,211,792,480,172] 81.29/80.21 800. sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK23,vAPP_34_6(sK29,sK27)),vAPP_34_6(sK30,sK27))) | sQ33_eqProxy($true,vAPP_6_5(sK27,sK26)) | ~sQ33_eqProxy($true,vAPP_6_5(sK27,vAPP_34_6(sK28,sK27))) | ~sQ33_eqProxy($true,vAPP_6_5(sK27,vAPP_34_6(sK29,sK27))) <- {8, 43} [resolution 196,664] 81.29/80.21 843. sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK23,vAPP_34_6(sK29,sK27)),vAPP_34_6(sK30,sK27))) | sQ33_eqProxy($true,vAPP_6_5(sK27,sK26)) | sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK23,sK25),vAPP_34_6(sK28,sK27))) | sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK24,sK25),vAPP_34_6(sK28,sK27))) | ~sQ33_eqProxy($true,vAPP_6_5(sK27,vAPP_34_6(sK29,sK27))) <- {14, 43} [resolution 208,664] 81.29/80.21 852. 88 <=> sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK23,vAPP_34_6(sK29,sK27)),vAPP_34_6(sK30,sK27))) [avatar definition] 81.29/80.21 853. sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK23,vAPP_34_6(sK29,sK27)),vAPP_34_6(sK30,sK27))) <- {88} [avatar component clause 852] 81.29/80.21 854. ~83 | 48 | 46 | 0 | 88 | ~14 | 43 [avatar split clause 843,452,207,852,172,480,487,789] 81.29/80.21 856. ~sQ33_eqProxy($true,vAPP_6_5(sK27,vAPP_34_6(sK29,sK27))) <- {43, 88} [resolution 853,665] 81.29/80.21 861. ~83 | 43 | ~88 [avatar split clause 856,852,452,789] 81.29/80.21 864. ~83 | ~41 | 0 | 88 | ~8 | 43 [avatar split clause 800,452,195,852,172,446,789] 81.29/80.21 879. sQ33_eqProxy($true,vAPP_6_5(sK27,sK26)) | ~sQ33_eqProxy($true,vAPP_6_5(sK27,vAPP_34_6(sK28,sK27))) <- {10, 83} [resolution 790,200] 81.29/80.21 913. ~41 | 0 | ~10 | 83 [avatar split clause 879,789,199,172,446] 81.29/80.21 915. sP0(vAPP_24_7(vAPP_25_7(sK11,sK24),sK23),sK23,sK24,vAPP_24_7(vAPP_25_7(sK10,sK24),sK23)) <- {2} [resolution 183,74] 81.29/80.21 916. ~sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK13,sK24),sK23),vAPP_24_7(vAPP_25_7(sK12,sK24),sK23))) <- {2} [resolution 183,134] 81.29/80.21 944. 102 <=> sP0(vAPP_24_7(vAPP_25_7(sK11,sK24),sK23),sK23,sK24,vAPP_24_7(vAPP_25_7(sK10,sK24),sK23)) [avatar definition] 81.29/80.21 945. sP0(vAPP_24_7(vAPP_25_7(sK11,sK24),sK23),sK23,sK24,vAPP_24_7(vAPP_25_7(sK10,sK24),sK23)) <- {102} [avatar component clause 944] 81.29/80.21 946. 102 | ~2 [avatar split clause 915,182,944] 81.29/80.21 948. 104 <=> sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK13,sK24),sK23),vAPP_24_7(vAPP_25_7(sK12,sK24),sK23))) [avatar definition] 81.29/80.21 951. 105 <=> ~sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK13,sK24),sK23),vAPP_24_7(vAPP_25_7(sK12,sK24),sK23))) [avatar definition] 81.29/80.21 952. ~sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK13,sK24),sK23),vAPP_24_7(vAPP_25_7(sK12,sK24),sK23))) <- {105} [avatar component clause 951] 81.29/80.21 953. ~105 | ~2 [avatar split clause 916,182,951] 81.29/80.21 1122. sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK13,sK24),sK23),vAPP_24_7(vAPP_25_7(vAPP_27_6(sK14,vAPP_11_7(vAPP_26_7(sK13,sK24),sK23)),sK24),sK23))) | ~sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK13,sK24),sK23),vAPP_24_7(vAPP_25_7(vAPP_27_6(sK16,vAPP_11_7(vAPP_26_7(sK13,sK24),sK23)),sK24),sK23))) | ~sP2(sK23,sK24) <- {105} [resolution 952,143] 81.29/80.21 1124. sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK23,vAPP_24_7(vAPP_25_7(vAPP_27_6(sK14,vAPP_11_7(vAPP_26_7(sK13,sK24),sK23)),sK24),sK23)),vAPP_24_7(vAPP_25_7(vAPP_27_6(sK15,vAPP_11_7(vAPP_26_7(sK13,sK24),sK23)),sK24),sK23))) | sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK24,vAPP_24_7(vAPP_25_7(vAPP_27_6(sK14,vAPP_11_7(vAPP_26_7(sK13,sK24),sK23)),sK24),sK23)),vAPP_24_7(vAPP_25_7(vAPP_27_6(sK15,vAPP_11_7(vAPP_26_7(sK13,sK24),sK23)),sK24),sK23))) | ~sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK13,sK24),sK23),vAPP_24_7(vAPP_25_7(vAPP_27_6(sK16,vAPP_11_7(vAPP_26_7(sK13,sK24),sK23)),sK24),sK23))) | ~sP2(sK23,sK24) <- {105} [resolution 952,141] 81.29/80.21 1126. ~sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK13,sK24),sK23),vAPP_24_7(vAPP_25_7(vAPP_27_6(sK15,vAPP_11_7(vAPP_26_7(sK13,sK24),sK23)),sK24),sK23))) | ~sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK13,sK24),sK23),vAPP_24_7(vAPP_25_7(vAPP_27_6(sK16,vAPP_11_7(vAPP_26_7(sK13,sK24),sK23)),sK24),sK23))) | ~sP2(sK23,sK24) <- {105} [resolution 952,139] 81.29/80.21 1172. 134 <=> sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK23,vAPP_24_7(vAPP_25_7(sK11,sK24),sK23)),vAPP_24_7(vAPP_25_7(vAPP_27_6(sK16,vAPP_11_7(vAPP_26_7(sK13,sK24),sK23)),sK24),sK23))) [avatar definition] 81.29/80.21 1173. sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK23,vAPP_24_7(vAPP_25_7(sK11,sK24),sK23)),vAPP_24_7(vAPP_25_7(vAPP_27_6(sK16,vAPP_11_7(vAPP_26_7(sK13,sK24),sK23)),sK24),sK23))) <- {134} [avatar component clause 1172] 81.29/80.21 1184. 138 <=> sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK13,sK24),sK23),vAPP_24_7(vAPP_25_7(vAPP_27_6(sK14,vAPP_11_7(vAPP_26_7(sK13,sK24),sK23)),sK24),sK23))) [avatar definition] 81.29/80.21 1185. sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK13,sK24),sK23),vAPP_24_7(vAPP_25_7(vAPP_27_6(sK14,vAPP_11_7(vAPP_26_7(sK13,sK24),sK23)),sK24),sK23))) <- {138} [avatar component clause 1184] 81.29/80.21 1191. 141 <=> ~sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK13,sK24),sK23),vAPP_24_7(vAPP_25_7(vAPP_27_6(sK16,vAPP_11_7(vAPP_26_7(sK13,sK24),sK23)),sK24),sK23))) [avatar definition] 81.29/80.21 1192. ~sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK13,sK24),sK23),vAPP_24_7(vAPP_25_7(vAPP_27_6(sK16,vAPP_11_7(vAPP_26_7(sK13,sK24),sK23)),sK24),sK23))) <- {141} [avatar component clause 1191] 81.29/80.21 1193. ~3 | ~141 | 138 | 105 [avatar split clause 1122,951,1184,1191,179] 81.29/80.21 1195. 143 <=> ~sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK24,vAPP_24_7(vAPP_25_7(vAPP_27_6(sK14,vAPP_11_7(vAPP_26_7(sK13,sK24),sK23)),sK24),sK23)),vAPP_24_7(vAPP_25_7(vAPP_27_6(sK15,vAPP_11_7(vAPP_26_7(sK13,sK24),sK23)),sK24),sK23))) [avatar definition] 81.29/80.21 1198. 142 <=> sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK24,vAPP_24_7(vAPP_25_7(vAPP_27_6(sK14,vAPP_11_7(vAPP_26_7(sK13,sK24),sK23)),sK24),sK23)),vAPP_24_7(vAPP_25_7(vAPP_27_6(sK15,vAPP_11_7(vAPP_26_7(sK13,sK24),sK23)),sK24),sK23))) [avatar definition] 81.29/80.21 1201. 145 <=> ~sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK23,vAPP_24_7(vAPP_25_7(vAPP_27_6(sK14,vAPP_11_7(vAPP_26_7(sK13,sK24),sK23)),sK24),sK23)),vAPP_24_7(vAPP_25_7(vAPP_27_6(sK15,vAPP_11_7(vAPP_26_7(sK13,sK24),sK23)),sK24),sK23))) [avatar definition] 81.29/80.21 1204. 144 <=> sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK23,vAPP_24_7(vAPP_25_7(vAPP_27_6(sK14,vAPP_11_7(vAPP_26_7(sK13,sK24),sK23)),sK24),sK23)),vAPP_24_7(vAPP_25_7(vAPP_27_6(sK15,vAPP_11_7(vAPP_26_7(sK13,sK24),sK23)),sK24),sK23))) [avatar definition] 81.29/80.21 1207. ~3 | ~141 | 142 | 144 | 105 [avatar split clause 1124,951,1204,1198,1191,179] 81.29/80.21 1212. 147 <=> ~sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK13,sK24),sK23),vAPP_24_7(vAPP_25_7(vAPP_27_6(sK15,vAPP_11_7(vAPP_26_7(sK13,sK24),sK23)),sK24),sK23))) [avatar definition] 81.29/80.21 1213. ~sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK13,sK24),sK23),vAPP_24_7(vAPP_25_7(vAPP_27_6(sK15,vAPP_11_7(vAPP_26_7(sK13,sK24),sK23)),sK24),sK23))) <- {147} [avatar component clause 1212] 81.29/80.21 1215. ~3 | ~141 | ~147 | 105 [avatar split clause 1126,951,1212,1191,179] 81.29/80.21 1513. sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK13,sK24),sK23),X0)) | ~sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK24,vAPP_24_7(vAPP_25_7(vAPP_27_6(sK14,vAPP_11_7(vAPP_26_7(sK13,sK24),sK23)),sK24),sK23)),X0)) | ~sP2(sK23,sK24) <- {138} [resolution 1185,136] 81.29/80.21 1514. sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK13,sK24),sK23),X1)) | ~sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK23,vAPP_24_7(vAPP_25_7(vAPP_27_6(sK14,vAPP_11_7(vAPP_26_7(sK13,sK24),sK23)),sK24),sK23)),X1)) | ~sP2(sK23,sK24) <- {138} [resolution 1185,135] 81.29/80.21 1516. 194 <=> ! [X0 : a] : (sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK13,sK24),sK23),X0)) | ~sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK24,vAPP_24_7(vAPP_25_7(vAPP_27_6(sK14,vAPP_11_7(vAPP_26_7(sK13,sK24),sK23)),sK24),sK23)),X0))) [avatar definition] 81.29/80.21 1517. sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK13,sK24),sK23),X0)) | ~sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK24,vAPP_24_7(vAPP_25_7(vAPP_27_6(sK14,vAPP_11_7(vAPP_26_7(sK13,sK24),sK23)),sK24),sK23)),X0)) <- {194} [avatar component clause 1516] 81.29/80.21 1518. ~3 | 194 | ~138 [avatar split clause 1513,1184,1516,179] 81.29/80.21 1520. 196 <=> ! [X1 : a] : (sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK13,sK24),sK23),X1)) | ~sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK23,vAPP_24_7(vAPP_25_7(vAPP_27_6(sK14,vAPP_11_7(vAPP_26_7(sK13,sK24),sK23)),sK24),sK23)),X1))) [avatar definition] 81.29/80.21 1521. sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK13,sK24),sK23),X1)) | ~sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK23,vAPP_24_7(vAPP_25_7(vAPP_27_6(sK14,vAPP_11_7(vAPP_26_7(sK13,sK24),sK23)),sK24),sK23)),X1)) <- {196} [avatar component clause 1520] 81.29/80.21 1522. ~3 | 196 | ~138 [avatar split clause 1514,1184,1520,179] 81.29/80.21 1902. ~sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK24,vAPP_24_7(vAPP_25_7(vAPP_27_6(sK14,vAPP_11_7(vAPP_26_7(sK13,sK24),sK23)),sK24),sK23)),vAPP_24_7(vAPP_25_7(vAPP_27_6(sK15,vAPP_11_7(vAPP_26_7(sK13,sK24),sK23)),sK24),sK23))) <- {147, 194} [resolution 1517,1213] 81.29/80.21 1940. ~143 | 147 | ~194 [avatar split clause 1902,1516,1212,1195] 81.29/80.21 2047. ~sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK23,vAPP_24_7(vAPP_25_7(vAPP_27_6(sK14,vAPP_11_7(vAPP_26_7(sK13,sK24),sK23)),sK24),sK23)),vAPP_24_7(vAPP_25_7(vAPP_27_6(sK15,vAPP_11_7(vAPP_26_7(sK13,sK24),sK23)),sK24),sK23))) <- {147, 196} [resolution 1521,1213] 81.29/80.21 2085. ~145 | 147 | ~196 [avatar split clause 2047,1520,1212,1201] 81.29/80.21 2118. ~sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK13,sK24),sK23),X0)) | ~sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK24,X0),vAPP_24_7(vAPP_25_7(vAPP_27_6(sK16,vAPP_11_7(vAPP_26_7(sK13,sK24),sK23)),sK24),sK23))) | ~sP2(sK23,sK24) <- {141} [resolution 1192,136] 81.29/80.21 2119. ~sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK13,sK24),sK23),X1)) | ~sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK23,X1),vAPP_24_7(vAPP_25_7(vAPP_27_6(sK16,vAPP_11_7(vAPP_26_7(sK13,sK24),sK23)),sK24),sK23))) | ~sP2(sK23,sK24) <- {141} [resolution 1192,135] 81.29/80.21 2160. 310 <=> ! [X0 : a] : (~sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK13,sK24),sK23),X0)) | ~sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK24,X0),vAPP_24_7(vAPP_25_7(vAPP_27_6(sK16,vAPP_11_7(vAPP_26_7(sK13,sK24),sK23)),sK24),sK23)))) [avatar definition] 81.29/80.21 2161. ~sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK24,X0),vAPP_24_7(vAPP_25_7(vAPP_27_6(sK16,vAPP_11_7(vAPP_26_7(sK13,sK24),sK23)),sK24),sK23))) | ~sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK13,sK24),sK23),X0)) <- {310} [avatar component clause 2160] 81.29/80.21 2162. ~3 | 310 | 141 [avatar split clause 2118,1191,2160,179] 81.29/80.21 2164. 312 <=> ! [X1 : a] : (~sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK13,sK24),sK23),X1)) | ~sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK23,X1),vAPP_24_7(vAPP_25_7(vAPP_27_6(sK16,vAPP_11_7(vAPP_26_7(sK13,sK24),sK23)),sK24),sK23)))) [avatar definition] 81.29/80.21 2165. ~sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK23,X1),vAPP_24_7(vAPP_25_7(vAPP_27_6(sK16,vAPP_11_7(vAPP_26_7(sK13,sK24),sK23)),sK24),sK23))) | ~sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK13,sK24),sK23),X1)) <- {312} [avatar component clause 2164] 81.29/80.21 2166. ~3 | 312 | 141 [avatar split clause 2119,1191,2164,179] 81.29/80.21 2349. ~sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK13,sK24),sK23),vAPP_24_7(vAPP_25_7(sK11,sK24),sK23))) | sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK13,sK24),sK23),vAPP_24_7(vAPP_25_7(sK12,sK24),sK23))) | sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK13,sK24),sK23),vAPP_24_7(vAPP_25_7(vAPP_27_6(sK14,vAPP_11_7(vAPP_26_7(sK13,sK24),sK23)),sK24),sK23))) | sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK23,vAPP_24_7(vAPP_25_7(sK11,sK24),sK23)),vAPP_24_7(vAPP_25_7(vAPP_27_6(sK16,vAPP_11_7(vAPP_26_7(sK13,sK24),sK23)),sK24),sK23))) | ~sP2(sK23,sK24) <- {310} [resolution 2161,144] 81.29/80.21 2350. ~sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK13,sK24),sK23),vAPP_24_7(vAPP_25_7(sK11,sK24),sK23))) | sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK13,sK24),sK23),vAPP_24_7(vAPP_25_7(sK12,sK24),sK23))) | sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK23,vAPP_24_7(vAPP_25_7(vAPP_27_6(sK14,vAPP_11_7(vAPP_26_7(sK13,sK24),sK23)),sK24),sK23)),vAPP_24_7(vAPP_25_7(vAPP_27_6(sK15,vAPP_11_7(vAPP_26_7(sK13,sK24),sK23)),sK24),sK23))) | sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK24,vAPP_24_7(vAPP_25_7(vAPP_27_6(sK14,vAPP_11_7(vAPP_26_7(sK13,sK24),sK23)),sK24),sK23)),vAPP_24_7(vAPP_25_7(vAPP_27_6(sK15,vAPP_11_7(vAPP_26_7(sK13,sK24),sK23)),sK24),sK23))) | sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK23,vAPP_24_7(vAPP_25_7(sK11,sK24),sK23)),vAPP_24_7(vAPP_25_7(vAPP_27_6(sK16,vAPP_11_7(vAPP_26_7(sK13,sK24),sK23)),sK24),sK23))) | ~sP2(sK23,sK24) <- {310} [resolution 2161,142] 81.29/80.21 2351. ~sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK13,sK24),sK23),vAPP_24_7(vAPP_25_7(sK11,sK24),sK23))) | sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK13,sK24),sK23),vAPP_24_7(vAPP_25_7(sK12,sK24),sK23))) | ~sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK13,sK24),sK23),vAPP_24_7(vAPP_25_7(vAPP_27_6(sK15,vAPP_11_7(vAPP_26_7(sK13,sK24),sK23)),sK24),sK23))) | sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK23,vAPP_24_7(vAPP_25_7(sK11,sK24),sK23)),vAPP_24_7(vAPP_25_7(vAPP_27_6(sK16,vAPP_11_7(vAPP_26_7(sK13,sK24),sK23)),sK24),sK23))) | ~sP2(sK23,sK24) <- {310} [resolution 2161,140] 81.29/80.21 2371. ~sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK13,sK24),sK23),vAPP_24_7(vAPP_25_7(sK11,sK24),sK23))) <- {134, 312} [resolution 2165,1173] 81.29/80.21 2392. 346 <=> sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK13,sK24),sK23),vAPP_24_7(vAPP_25_7(sK11,sK24),sK23))) [avatar definition] 81.29/80.21 2395. 347 <=> ~sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK13,sK24),sK23),vAPP_24_7(vAPP_25_7(sK11,sK24),sK23))) [avatar definition] 81.29/80.21 2397. ~347 | ~134 | ~312 [avatar split clause 2371,2164,1172,2395] 81.29/80.21 6615. ~3 | 134 | 142 | 144 | 104 | ~347 | ~310 [avatar split clause 2350,2160,2395,948,1204,1198,1172,179] 81.29/80.21 6623. ~3 | 134 | 138 | 104 | ~347 | ~310 [avatar split clause 2349,2160,2395,948,1184,1172,179] 81.29/80.21 6635. ~3 | 134 | ~147 | 104 | ~347 | ~310 [avatar split clause 2351,2160,2395,948,1212,1172,179] 81.29/80.21 12197. ~sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK6,sK24),sK23),vAPP_24_7(vAPP_25_7(sK5,sK24),sK23))) <- {4} [resolution 189,123] 81.29/80.21 12198. sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK6,sK24),sK23),X0)) | ~sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK23,vAPP_24_7(vAPP_25_7(sK4,sK24),sK23)),X0)) <- {4} [resolution 189,124] 81.29/80.21 12199. sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK6,sK24),sK23),X1)) | ~sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK24,vAPP_24_7(vAPP_25_7(sK4,sK24),sK23)),X1)) <- {4} [resolution 189,125] 81.29/80.21 12201. sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK6,sK24),sK23),X4)) | ~sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK6,sK24),sK23),X5)) | ~sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK23,X5),X4)) <- {4} [resolution 189,127] 81.29/80.21 12242. 1650 <=> sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK6,sK24),sK23),vAPP_24_7(vAPP_25_7(sK5,sK24),sK23))) [avatar definition] 81.29/80.21 12245. 1651 <=> ~sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK6,sK24),sK23),vAPP_24_7(vAPP_25_7(sK5,sK24),sK23))) [avatar definition] 81.29/80.21 12246. ~sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK6,sK24),sK23),vAPP_24_7(vAPP_25_7(sK5,sK24),sK23))) <- {1651} [avatar component clause 12245] 81.29/80.21 12247. ~1651 | ~4 [avatar split clause 12197,188,12245] 81.29/80.21 12252. 1652 <=> sP1(vAPP_24_7(vAPP_25_7(sK5,sK24),sK23),vAPP_24_7(vAPP_25_7(sK4,sK24),sK23),sK23) [avatar definition] 81.29/80.21 12253. sP1(vAPP_24_7(vAPP_25_7(sK5,sK24),sK23),vAPP_24_7(vAPP_25_7(sK4,sK24),sK23),sK23) <- {1652} [avatar component clause 12252] 81.29/80.21 12375. sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK24,vAPP_24_7(vAPP_25_7(sK4,sK24),sK23)),vAPP_24_7(vAPP_25_7(vAPP_27_6(sK7,vAPP_11_7(vAPP_26_7(sK6,sK24),sK23)),sK24),sK23))) | sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK24,vAPP_24_7(vAPP_28_6(sK8,vAPP_11_7(vAPP_26_7(sK6,sK24),sK23)),sK24)),vAPP_24_7(vAPP_28_6(sK9,vAPP_11_7(vAPP_26_7(sK6,sK24),sK23)),sK24))) | sP1(vAPP_24_7(vAPP_25_7(sK5,sK24),sK23),vAPP_24_7(vAPP_25_7(sK4,sK24),sK23),sK23) | ~sP3(sK23,sK24) <- {1651} [resolution 12246,133] 81.29/80.21 12376. sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK24,vAPP_24_7(vAPP_25_7(sK4,sK24),sK23)),vAPP_24_7(vAPP_25_7(vAPP_27_6(sK7,vAPP_11_7(vAPP_26_7(sK6,sK24),sK23)),sK24),sK23))) | sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK6,sK24),sK23),vAPP_24_7(vAPP_28_6(sK8,vAPP_11_7(vAPP_26_7(sK6,sK24),sK23)),sK24))) | sP1(vAPP_24_7(vAPP_25_7(sK5,sK24),sK23),vAPP_24_7(vAPP_25_7(sK4,sK24),sK23),sK23) | ~sP3(sK23,sK24) <- {1651} [resolution 12246,132] 81.29/80.21 12377. sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK24,vAPP_24_7(vAPP_25_7(sK4,sK24),sK23)),vAPP_24_7(vAPP_25_7(vAPP_27_6(sK7,vAPP_11_7(vAPP_26_7(sK6,sK24),sK23)),sK24),sK23))) | ~sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK6,sK24),sK23),vAPP_24_7(vAPP_28_6(sK9,vAPP_11_7(vAPP_26_7(sK6,sK24),sK23)),sK24))) | sP1(vAPP_24_7(vAPP_25_7(sK5,sK24),sK23),vAPP_24_7(vAPP_25_7(sK4,sK24),sK23),sK23) | ~sP3(sK23,sK24) <- {1651} [resolution 12246,131] 81.29/80.21 12378. ~sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK6,sK24),sK23),vAPP_24_7(vAPP_25_7(vAPP_27_6(sK7,vAPP_11_7(vAPP_26_7(sK6,sK24),sK23)),sK24),sK23))) | sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK24,vAPP_24_7(vAPP_28_6(sK8,vAPP_11_7(vAPP_26_7(sK6,sK24),sK23)),sK24)),vAPP_24_7(vAPP_28_6(sK9,vAPP_11_7(vAPP_26_7(sK6,sK24),sK23)),sK24))) | sP1(vAPP_24_7(vAPP_25_7(sK5,sK24),sK23),vAPP_24_7(vAPP_25_7(sK4,sK24),sK23),sK23) | ~sP3(sK23,sK24) <- {1651} [resolution 12246,130] 81.29/80.21 12379. ~sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK6,sK24),sK23),vAPP_24_7(vAPP_25_7(vAPP_27_6(sK7,vAPP_11_7(vAPP_26_7(sK6,sK24),sK23)),sK24),sK23))) | sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK6,sK24),sK23),vAPP_24_7(vAPP_28_6(sK8,vAPP_11_7(vAPP_26_7(sK6,sK24),sK23)),sK24))) | sP1(vAPP_24_7(vAPP_25_7(sK5,sK24),sK23),vAPP_24_7(vAPP_25_7(sK4,sK24),sK23),sK23) | ~sP3(sK23,sK24) <- {1651} [resolution 12246,129] 81.29/80.21 12380. ~sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK6,sK24),sK23),vAPP_24_7(vAPP_25_7(vAPP_27_6(sK7,vAPP_11_7(vAPP_26_7(sK6,sK24),sK23)),sK24),sK23))) | ~sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK6,sK24),sK23),vAPP_24_7(vAPP_28_6(sK9,vAPP_11_7(vAPP_26_7(sK6,sK24),sK23)),sK24))) | sP1(vAPP_24_7(vAPP_25_7(sK5,sK24),sK23),vAPP_24_7(vAPP_25_7(sK4,sK24),sK23),sK23) | ~sP3(sK23,sK24) <- {1651} [resolution 12246,128] 81.29/80.21 12423. 1681 <=> ~sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK24,vAPP_24_7(vAPP_28_6(sK8,vAPP_11_7(vAPP_26_7(sK6,sK24),sK23)),sK24)),vAPP_24_7(vAPP_28_6(sK9,vAPP_11_7(vAPP_26_7(sK6,sK24),sK23)),sK24))) [avatar definition] 81.29/80.21 12426. 1680 <=> sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK24,vAPP_24_7(vAPP_28_6(sK8,vAPP_11_7(vAPP_26_7(sK6,sK24),sK23)),sK24)),vAPP_24_7(vAPP_28_6(sK9,vAPP_11_7(vAPP_26_7(sK6,sK24),sK23)),sK24))) [avatar definition] 81.29/80.21 12429. 1683 <=> ~sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK24,vAPP_24_7(vAPP_25_7(sK4,sK24),sK23)),vAPP_24_7(vAPP_25_7(vAPP_27_6(sK7,vAPP_11_7(vAPP_26_7(sK6,sK24),sK23)),sK24),sK23))) [avatar definition] 81.29/80.21 12432. 1682 <=> sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK24,vAPP_24_7(vAPP_25_7(sK4,sK24),sK23)),vAPP_24_7(vAPP_25_7(vAPP_27_6(sK7,vAPP_11_7(vAPP_26_7(sK6,sK24),sK23)),sK24),sK23))) [avatar definition] 81.29/80.21 12434. ~5 | 1652 | 1680 | 1682 | 1651 [avatar split clause 12375,12245,12432,12426,12252,185] 81.29/80.21 12439. 1684 <=> sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK6,sK24),sK23),vAPP_24_7(vAPP_28_6(sK8,vAPP_11_7(vAPP_26_7(sK6,sK24),sK23)),sK24))) [avatar definition] 81.29/80.21 12440. sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK6,sK24),sK23),vAPP_24_7(vAPP_28_6(sK8,vAPP_11_7(vAPP_26_7(sK6,sK24),sK23)),sK24))) <- {1684} [avatar component clause 12439] 81.29/80.21 12441. ~5 | 1652 | 1684 | 1682 | 1651 [avatar split clause 12376,12245,12432,12439,12252,185] 81.29/80.21 12446. 1687 <=> ~sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK6,sK24),sK23),vAPP_24_7(vAPP_28_6(sK9,vAPP_11_7(vAPP_26_7(sK6,sK24),sK23)),sK24))) [avatar definition] 81.29/80.21 12447. ~sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK6,sK24),sK23),vAPP_24_7(vAPP_28_6(sK9,vAPP_11_7(vAPP_26_7(sK6,sK24),sK23)),sK24))) <- {1687} [avatar component clause 12446] 81.29/80.21 12448. ~5 | 1652 | ~1687 | 1682 | 1651 [avatar split clause 12377,12245,12432,12446,12252,185] 81.29/80.21 12453. 1689 <=> ~sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK6,sK24),sK23),vAPP_24_7(vAPP_25_7(vAPP_27_6(sK7,vAPP_11_7(vAPP_26_7(sK6,sK24),sK23)),sK24),sK23))) [avatar definition] 81.29/80.21 12454. ~sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK6,sK24),sK23),vAPP_24_7(vAPP_25_7(vAPP_27_6(sK7,vAPP_11_7(vAPP_26_7(sK6,sK24),sK23)),sK24),sK23))) <- {1689} [avatar component clause 12453] 81.29/80.21 12455. ~5 | 1652 | 1680 | ~1689 | 1651 [avatar split clause 12378,12245,12453,12426,12252,185] 81.29/80.21 12456. ~5 | 1652 | 1684 | ~1689 | 1651 [avatar split clause 12379,12245,12453,12439,12252,185] 81.29/80.21 12457. ~5 | 1652 | ~1687 | ~1689 | 1651 [avatar split clause 12380,12245,12453,12446,12252,185] 81.29/80.21 12790. sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK6,sK24),sK23),X1)) | ~sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK24,vAPP_24_7(vAPP_28_6(sK8,vAPP_11_7(vAPP_26_7(sK6,sK24),sK23)),sK24)),X1)) | ~sP3(sK23,sK24) <- {1684} [resolution 12440,126] 81.29/80.21 12796. 1738 <=> ! [X1 : a] : (sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK6,sK24),sK23),X1)) | ~sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK24,vAPP_24_7(vAPP_28_6(sK8,vAPP_11_7(vAPP_26_7(sK6,sK24),sK23)),sK24)),X1))) [avatar definition] 81.29/80.21 12797. sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK6,sK24),sK23),X1)) | ~sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK24,vAPP_24_7(vAPP_28_6(sK8,vAPP_11_7(vAPP_26_7(sK6,sK24),sK23)),sK24)),X1)) <- {1738} [avatar component clause 12796] 81.29/80.21 12798. ~5 | 1738 | ~1684 [avatar split clause 12790,12439,12796,185] 81.29/80.21 15058. ~sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK24,vAPP_24_7(vAPP_28_6(sK8,vAPP_11_7(vAPP_26_7(sK6,sK24),sK23)),sK24)),vAPP_24_7(vAPP_28_6(sK9,vAPP_11_7(vAPP_26_7(sK6,sK24),sK23)),sK24))) <- {1687, 1738} [resolution 12797,12447] 81.29/80.21 15089. ~1681 | 1687 | ~1738 [avatar split clause 15058,12796,12446,12423] 81.29/80.21 15101. ~sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK24,vAPP_24_7(vAPP_25_7(sK4,sK24),sK23)),vAPP_24_7(vAPP_25_7(vAPP_27_6(sK7,vAPP_11_7(vAPP_26_7(sK6,sK24),sK23)),sK24),sK23))) <- {4, 1689} [resolution 12454,12199] 81.29/80.21 15144. ~1683 | ~4 | 1689 [avatar split clause 15101,12453,188,12429] 81.29/80.21 15217. sQ33_eqProxy($true,vAPP_6_5(X0,vAPP_24_7(vAPP_25_7(sK5,sK24),sK23))) | ~sQ33_eqProxy($true,vAPP_6_5(X0,vAPP_29_5(vAPP_30_7(vAPP_31_6(sK17,X0),sK23),vAPP_24_7(vAPP_25_7(sK4,sK24),sK23)))) | ~sQ33_eqProxy($true,vAPP_6_5(X0,vAPP_24_7(vAPP_28_6(sK19,X0),sK23))) <- {1652} [resolution 12253,145] 81.29/80.21 15218. sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK23,vAPP_24_7(vAPP_28_6(sK18,X1),sK23)),vAPP_24_7(vAPP_28_6(sK19,X1),sK23))) | ~sQ33_eqProxy($true,vAPP_6_5(X1,vAPP_29_5(vAPP_30_7(vAPP_31_6(sK17,X1),sK23),vAPP_24_7(vAPP_25_7(sK4,sK24),sK23)))) | sQ33_eqProxy($true,vAPP_6_5(X1,vAPP_24_7(vAPP_25_7(sK5,sK24),sK23))) <- {1652} [resolution 12253,146] 81.29/80.21 15219. sQ33_eqProxy($true,vAPP_6_5(X2,vAPP_24_7(vAPP_28_6(sK18,X2),sK23))) | ~sQ33_eqProxy($true,vAPP_6_5(X2,vAPP_29_5(vAPP_30_7(vAPP_31_6(sK17,X2),sK23),vAPP_24_7(vAPP_25_7(sK4,sK24),sK23)))) | sQ33_eqProxy($true,vAPP_6_5(X2,vAPP_24_7(vAPP_25_7(sK5,sK24),sK23))) <- {1652} [resolution 12253,147] 81.29/80.21 15220. sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK23,vAPP_24_7(vAPP_25_7(sK4,sK24),sK23)),vAPP_29_5(vAPP_30_7(vAPP_31_6(sK17,X3),sK23),vAPP_24_7(vAPP_25_7(sK4,sK24),sK23)))) | sQ33_eqProxy($true,vAPP_6_5(X3,vAPP_24_7(vAPP_25_7(sK5,sK24),sK23))) | ~sQ33_eqProxy($true,vAPP_6_5(X3,vAPP_24_7(vAPP_28_6(sK19,X3),sK23))) <- {1652} [resolution 12253,148] 81.29/80.21 15222. sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK23,vAPP_24_7(vAPP_25_7(sK4,sK24),sK23)),vAPP_29_5(vAPP_30_7(vAPP_31_6(sK17,X5),sK23),vAPP_24_7(vAPP_25_7(sK4,sK24),sK23)))) | sQ33_eqProxy($true,vAPP_6_5(X5,vAPP_24_7(vAPP_25_7(sK5,sK24),sK23))) | sQ33_eqProxy($true,vAPP_6_5(X5,vAPP_24_7(vAPP_28_6(sK18,X5),sK23))) <- {1652} [resolution 12253,150] 81.29/80.21 17689. ~sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK6,sK24),sK23),vAPP_29_5(vAPP_30_7(vAPP_31_6(sK17,vAPP_11_7(vAPP_26_7(sK6,sK24),sK23)),sK23),vAPP_24_7(vAPP_25_7(sK4,sK24),sK23)))) | ~sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK6,sK24),sK23),vAPP_24_7(vAPP_28_6(sK19,vAPP_11_7(vAPP_26_7(sK6,sK24),sK23)),sK23))) | ~sP3(sK23,sK24) <- {1652} [resolution 15217,123] 81.29/80.21 17855. 2441 <=> ~sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK6,sK24),sK23),vAPP_24_7(vAPP_28_6(sK19,vAPP_11_7(vAPP_26_7(sK6,sK24),sK23)),sK23))) [avatar definition] 81.29/80.21 17856. ~sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK6,sK24),sK23),vAPP_24_7(vAPP_28_6(sK19,vAPP_11_7(vAPP_26_7(sK6,sK24),sK23)),sK23))) <- {2441} [avatar component clause 17855] 81.29/80.21 17861. 2443 <=> ~sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK6,sK24),sK23),vAPP_29_5(vAPP_30_7(vAPP_31_6(sK17,vAPP_11_7(vAPP_26_7(sK6,sK24),sK23)),sK23),vAPP_24_7(vAPP_25_7(sK4,sK24),sK23)))) [avatar definition] 81.29/80.21 17862. ~sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK6,sK24),sK23),vAPP_29_5(vAPP_30_7(vAPP_31_6(sK17,vAPP_11_7(vAPP_26_7(sK6,sK24),sK23)),sK23),vAPP_24_7(vAPP_25_7(sK4,sK24),sK23)))) <- {2443} [avatar component clause 17861] 81.29/80.21 17863. ~5 | ~2441 | ~2443 | ~1652 [avatar split clause 17689,12252,17861,17855,185] 81.29/80.21 18410. 2510 <=> sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK6,sK24),sK23),vAPP_24_7(vAPP_28_6(sK18,vAPP_11_7(vAPP_26_7(sK6,sK24),sK23)),sK23))) [avatar definition] 81.29/80.21 18413. 2511 <=> ~sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK6,sK24),sK23),vAPP_24_7(vAPP_28_6(sK18,vAPP_11_7(vAPP_26_7(sK6,sK24),sK23)),sK23))) [avatar definition] 81.29/80.21 18414. ~sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK6,sK24),sK23),vAPP_24_7(vAPP_28_6(sK18,vAPP_11_7(vAPP_26_7(sK6,sK24),sK23)),sK23))) <- {2511} [avatar component clause 18413] 81.29/80.21 22341. ~sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK23,vAPP_24_7(vAPP_25_7(sK4,sK24),sK23)),vAPP_29_5(vAPP_30_7(vAPP_31_6(sK17,vAPP_11_7(vAPP_26_7(sK6,sK24),sK23)),sK23),vAPP_24_7(vAPP_25_7(sK4,sK24),sK23)))) <- {4, 2443} [resolution 17862,12198] 81.29/80.21 22389. 2937 <=> ~sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK23,vAPP_24_7(vAPP_25_7(sK4,sK24),sK23)),vAPP_29_5(vAPP_30_7(vAPP_31_6(sK17,vAPP_11_7(vAPP_26_7(sK6,sK24),sK23)),sK23),vAPP_24_7(vAPP_25_7(sK4,sK24),sK23)))) [avatar definition] 81.29/80.21 22390. ~sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK23,vAPP_24_7(vAPP_25_7(sK4,sK24),sK23)),vAPP_29_5(vAPP_30_7(vAPP_31_6(sK17,vAPP_11_7(vAPP_26_7(sK6,sK24),sK23)),sK23),vAPP_24_7(vAPP_25_7(sK4,sK24),sK23)))) <- {2937} [avatar component clause 22389] 81.29/80.21 22391. ~2937 | ~4 | 2443 [avatar split clause 22341,17861,188,22389] 81.29/80.21 24136. sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK6,sK24),sK23),vAPP_24_7(vAPP_25_7(sK5,sK24),sK23))) | sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK6,sK24),sK23),vAPP_24_7(vAPP_28_6(sK18,vAPP_11_7(vAPP_26_7(sK6,sK24),sK23)),sK23))) <- {1652, 2937} [resolution 22390,15222] 81.29/80.21 24137. sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK6,sK24),sK23),vAPP_24_7(vAPP_25_7(sK5,sK24),sK23))) | ~sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK6,sK24),sK23),vAPP_24_7(vAPP_28_6(sK19,vAPP_11_7(vAPP_26_7(sK6,sK24),sK23)),sK23))) <- {1652, 2937} [resolution 22390,15220] 81.29/80.21 24139. sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK6,sK24),sK23),X1)) | sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK23,vAPP_24_7(vAPP_28_6(sK18,vAPP_11_7(vAPP_26_7(sK6,sK24),sK23)),sK23)),vAPP_24_7(vAPP_28_6(sK19,vAPP_11_7(vAPP_26_7(sK6,sK24),sK23)),sK23))) | ~sP1(X1,vAPP_24_7(vAPP_25_7(sK4,sK24),sK23),sK23) <- {2937} [resolution 22390,149] 81.29/80.21 24160. 2510 | 1650 | ~1652 | 2937 [avatar split clause 24136,22389,12252,12242,18410] 81.29/80.21 24161. ~2441 | 1650 | ~1652 | 2937 [avatar split clause 24137,22389,12252,12242,17855] 81.29/80.21 24163. 3178 <=> ! [X0 : a] : (sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK6,sK24),sK23),X0)) | ~sP1(X0,vAPP_24_7(vAPP_25_7(sK4,sK24),sK23),sK23)) [avatar definition] 81.29/80.21 24164. ~sP1(X0,vAPP_24_7(vAPP_25_7(sK4,sK24),sK23),sK23) | sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK6,sK24),sK23),X0)) <- {3178} [avatar component clause 24163] 81.29/80.21 24170. 3180 <=> sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK23,vAPP_24_7(vAPP_28_6(sK18,vAPP_11_7(vAPP_26_7(sK6,sK24),sK23)),sK23)),vAPP_24_7(vAPP_28_6(sK19,vAPP_11_7(vAPP_26_7(sK6,sK24),sK23)),sK23))) [avatar definition] 81.29/80.21 24171. sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK23,vAPP_24_7(vAPP_28_6(sK18,vAPP_11_7(vAPP_26_7(sK6,sK24),sK23)),sK23)),vAPP_24_7(vAPP_28_6(sK19,vAPP_11_7(vAPP_26_7(sK6,sK24),sK23)),sK23))) <- {3180} [avatar component clause 24170] 81.29/80.21 24172. 3180 | 3178 | 2937 [avatar split clause 24139,22389,24163,24170] 81.29/80.21 24178. ~sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK23,X1),vAPP_24_7(vAPP_28_6(sK19,vAPP_11_7(vAPP_26_7(sK6,sK24),sK23)),sK23))) | ~sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK6,sK24),sK23),X1)) <- {4, 2441} [resolution 17856,12201] 81.29/80.21 24383. ~sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK6,sK24),sK23),vAPP_24_7(vAPP_28_6(sK18,vAPP_11_7(vAPP_26_7(sK6,sK24),sK23)),sK23))) <- {4, 2441, 3180} [resolution 24178,24171] 81.29/80.21 24384. ~sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK6,sK24),sK23),vAPP_24_7(vAPP_28_6(sK18,vAPP_11_7(vAPP_26_7(sK6,sK24),sK23)),sK23))) | ~sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK6,sK24),sK23),vAPP_29_5(vAPP_30_7(vAPP_31_6(sK17,vAPP_11_7(vAPP_26_7(sK6,sK24),sK23)),sK23),vAPP_24_7(vAPP_25_7(sK4,sK24),sK23)))) | sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK6,sK24),sK23),vAPP_24_7(vAPP_25_7(sK5,sK24),sK23))) <- {4, 1652, 2441} [resolution 24178,15218] 81.29/80.21 24401. ~2511 | ~4 | 2441 | ~3180 [avatar split clause 24383,24170,17855,188,18413] 81.29/80.21 24402. sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK6,sK24),sK23),vAPP_24_7(vAPP_25_7(sK5,sK24),sK23))) <- {1652, 3178} [resolution 24164,12253] 81.29/80.21 24409. 1650 | ~1652 | ~3178 [avatar split clause 24402,24163,12252,12242] 81.29/80.21 24416. 1650 | ~2443 | ~2511 | ~4 | ~1652 | 2441 [avatar split clause 24384,17855,12252,188,18413,17861,12242] 81.29/80.21 24447. ~sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK6,sK24),sK23),vAPP_29_5(vAPP_30_7(vAPP_31_6(sK17,vAPP_11_7(vAPP_26_7(sK6,sK24),sK23)),sK23),vAPP_24_7(vAPP_25_7(sK4,sK24),sK23)))) | sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK6,sK24),sK23),vAPP_24_7(vAPP_25_7(sK5,sK24),sK23))) <- {1652, 2511} [resolution 18414,15219] 81.29/80.21 24534. 1650 | ~2443 | ~1652 | 2511 [avatar split clause 24447,18413,12252,17861,12242] 81.29/80.21 24716. sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK13,sK24),sK23),X0)) | ~sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK13,sK24),sK23),X1)) | ~sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK23,X1),X0)) <- {2} [resolution 183,135] 81.29/80.21 24718. sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK13,sK24),sK23),X4)) | ~sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK24,vAPP_24_7(vAPP_25_7(sK10,sK24),sK23)),X4)) <- {2} [resolution 183,137] 81.29/80.21 24719. sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK13,sK24),sK23),X5)) | ~sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK23,vAPP_24_7(vAPP_25_7(sK10,sK24),sK23)),X5)) <- {2} [resolution 183,138] 81.29/80.21 24745. sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK23,vAPP_24_7(vAPP_25_7(vAPP_27_6(sK20,X3),sK24),sK23)),vAPP_24_7(vAPP_25_7(vAPP_27_6(sK21,X3),sK24),sK23))) | sQ33_eqProxy($true,vAPP_6_5(X3,vAPP_24_7(vAPP_25_7(sK11,sK24),sK23))) | sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK24,vAPP_24_7(vAPP_25_7(vAPP_27_6(sK20,X3),sK24),sK23)),vAPP_24_7(vAPP_25_7(vAPP_27_6(sK21,X3),sK24),sK23))) | sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK24,vAPP_24_7(vAPP_25_7(sK10,sK24),sK23)),vAPP_24_7(vAPP_25_7(vAPP_32_5(vAPP_33_6(sK22,X3),vAPP_24_7(vAPP_25_7(sK10,sK24),sK23)),sK24),sK23))) | sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK23,vAPP_24_7(vAPP_25_7(sK10,sK24),sK23)),vAPP_24_7(vAPP_25_7(vAPP_32_5(vAPP_33_6(sK22,X3),vAPP_24_7(vAPP_25_7(sK10,sK24),sK23)),sK24),sK23))) <- {102} [resolution 945,154] 81.29/80.21 24747. sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK24,vAPP_24_7(vAPP_25_7(sK10,sK24),sK23)),vAPP_24_7(vAPP_25_7(vAPP_32_5(vAPP_33_6(sK22,X5),vAPP_24_7(vAPP_25_7(sK10,sK24),sK23)),sK24),sK23))) | sQ33_eqProxy($true,vAPP_6_5(X5,vAPP_24_7(vAPP_25_7(vAPP_27_6(sK20,X5),sK24),sK23))) | sQ33_eqProxy($true,vAPP_6_5(X5,vAPP_24_7(vAPP_25_7(sK11,sK24),sK23))) | sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK23,vAPP_24_7(vAPP_25_7(sK10,sK24),sK23)),vAPP_24_7(vAPP_25_7(vAPP_32_5(vAPP_33_6(sK22,X5),vAPP_24_7(vAPP_25_7(sK10,sK24),sK23)),sK24),sK23))) <- {102} [resolution 945,156] 81.29/80.21 24933. ~sP0(X39,X38,X37,X36) | sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK13,sK24),sK23),X39)) | ~sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK13,sK24),sK23),vAPP_24_7(vAPP_25_7(vAPP_27_6(sK21,vAPP_11_7(vAPP_26_7(sK13,sK24),sK23)),X37),X38))) | ~sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK24,vAPP_24_7(vAPP_25_7(sK10,sK24),sK23)),vAPP_24_7(vAPP_25_7(vAPP_32_5(vAPP_33_6(sK22,vAPP_11_7(vAPP_26_7(sK13,sK24),sK23)),X36),X37),X38))) <- {2} [resolution 24718,151] 81.29/80.21 25022. ~sP0(X35,X34,X33,X32) | sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK13,sK24),sK23),X35)) | sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(X34,vAPP_24_7(vAPP_25_7(vAPP_27_6(sK20,vAPP_11_7(vAPP_26_7(sK13,sK24),sK23)),X33),X34)),vAPP_24_7(vAPP_25_7(vAPP_27_6(sK21,vAPP_11_7(vAPP_26_7(sK13,sK24),sK23)),X33),X34))) | sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(X33,vAPP_24_7(vAPP_25_7(vAPP_27_6(sK20,vAPP_11_7(vAPP_26_7(sK13,sK24),sK23)),X33),X34)),vAPP_24_7(vAPP_25_7(vAPP_27_6(sK21,vAPP_11_7(vAPP_26_7(sK13,sK24),sK23)),X33),X34))) | ~sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK23,vAPP_24_7(vAPP_25_7(sK10,sK24),sK23)),vAPP_24_7(vAPP_25_7(vAPP_32_5(vAPP_33_6(sK22,vAPP_11_7(vAPP_26_7(sK13,sK24),sK23)),X32),X33),X34))) <- {2} [resolution 24719,153] 81.29/80.21 25023. ~sP0(X39,X38,X37,X36) | sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK13,sK24),sK23),X39)) | ~sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK13,sK24),sK23),vAPP_24_7(vAPP_25_7(vAPP_27_6(sK21,vAPP_11_7(vAPP_26_7(sK13,sK24),sK23)),X37),X38))) | ~sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK23,vAPP_24_7(vAPP_25_7(sK10,sK24),sK23)),vAPP_24_7(vAPP_25_7(vAPP_32_5(vAPP_33_6(sK22,vAPP_11_7(vAPP_26_7(sK13,sK24),sK23)),X36),X37),X38))) <- {2} [resolution 24719,151] 81.29/80.21 25153. ~sP0(X39,X38,X37,X40) | ~sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK23,X36),vAPP_24_7(vAPP_25_7(vAPP_27_6(sK21,vAPP_11_7(vAPP_26_7(sK13,sK24),sK23)),X37),X38))) | sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK13,sK24),sK23),X39)) | sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(X37,X40),vAPP_24_7(vAPP_25_7(vAPP_32_5(vAPP_33_6(sK22,vAPP_11_7(vAPP_26_7(sK13,sK24),sK23)),X40),X37),X38))) | sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(X38,X40),vAPP_24_7(vAPP_25_7(vAPP_32_5(vAPP_33_6(sK22,vAPP_11_7(vAPP_26_7(sK13,sK24),sK23)),X40),X37),X38))) | ~sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK13,sK24),sK23),X36)) <- {2} [resolution 24716,152] 81.29/80.21 29706. 3790 <=> sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK13,sK24),sK23),vAPP_24_7(vAPP_25_7(vAPP_32_5(vAPP_33_6(sK22,vAPP_11_7(vAPP_26_7(sK13,sK24),sK23)),vAPP_24_7(vAPP_25_7(sK10,sK24),sK23)),sK24),sK23))) [avatar definition] 81.29/80.21 29707. sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK13,sK24),sK23),vAPP_24_7(vAPP_25_7(vAPP_32_5(vAPP_33_6(sK22,vAPP_11_7(vAPP_26_7(sK13,sK24),sK23)),vAPP_24_7(vAPP_25_7(sK10,sK24),sK23)),sK24),sK23))) <- {3790} [avatar component clause 29706] 81.29/80.21 29709. 3791 <=> ~sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK13,sK24),sK23),vAPP_24_7(vAPP_25_7(vAPP_32_5(vAPP_33_6(sK22,vAPP_11_7(vAPP_26_7(sK13,sK24),sK23)),vAPP_24_7(vAPP_25_7(sK10,sK24),sK23)),sK24),sK23))) [avatar definition] 81.29/80.21 29710. ~sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK13,sK24),sK23),vAPP_24_7(vAPP_25_7(vAPP_32_5(vAPP_33_6(sK22,vAPP_11_7(vAPP_26_7(sK13,sK24),sK23)),vAPP_24_7(vAPP_25_7(sK10,sK24),sK23)),sK24),sK23))) <- {3791} [avatar component clause 29709] 81.29/80.21 29715. 3793 <=> ~sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK13,sK24),sK23),vAPP_24_7(vAPP_25_7(vAPP_27_6(sK21,vAPP_11_7(vAPP_26_7(sK13,sK24),sK23)),sK24),sK23))) [avatar definition] 81.29/80.21 29716. ~sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK13,sK24),sK23),vAPP_24_7(vAPP_25_7(vAPP_27_6(sK21,vAPP_11_7(vAPP_26_7(sK13,sK24),sK23)),sK24),sK23))) <- {3793} [avatar component clause 29715] 81.29/80.21 39389. ~sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK24,vAPP_24_7(vAPP_25_7(sK10,sK24),sK23)),vAPP_24_7(vAPP_25_7(vAPP_32_5(vAPP_33_6(sK22,vAPP_11_7(vAPP_26_7(sK13,sK24),sK23)),vAPP_24_7(vAPP_25_7(sK10,sK24),sK23)),sK24),sK23))) <- {2, 3791} [resolution 29710,24718] 81.29/80.21 39390. ~sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK23,vAPP_24_7(vAPP_25_7(sK10,sK24),sK23)),vAPP_24_7(vAPP_25_7(vAPP_32_5(vAPP_33_6(sK22,vAPP_11_7(vAPP_26_7(sK13,sK24),sK23)),vAPP_24_7(vAPP_25_7(sK10,sK24),sK23)),sK24),sK23))) <- {2, 3791} [resolution 29710,24719] 81.29/80.21 39437. 4874 <=> sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK24,vAPP_24_7(vAPP_25_7(sK10,sK24),sK23)),vAPP_24_7(vAPP_25_7(vAPP_32_5(vAPP_33_6(sK22,vAPP_11_7(vAPP_26_7(sK13,sK24),sK23)),vAPP_24_7(vAPP_25_7(sK10,sK24),sK23)),sK24),sK23))) [avatar definition] 81.29/80.21 39440. 4875 <=> ~sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK24,vAPP_24_7(vAPP_25_7(sK10,sK24),sK23)),vAPP_24_7(vAPP_25_7(vAPP_32_5(vAPP_33_6(sK22,vAPP_11_7(vAPP_26_7(sK13,sK24),sK23)),vAPP_24_7(vAPP_25_7(sK10,sK24),sK23)),sK24),sK23))) [avatar definition] 81.29/80.21 39441. ~sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK24,vAPP_24_7(vAPP_25_7(sK10,sK24),sK23)),vAPP_24_7(vAPP_25_7(vAPP_32_5(vAPP_33_6(sK22,vAPP_11_7(vAPP_26_7(sK13,sK24),sK23)),vAPP_24_7(vAPP_25_7(sK10,sK24),sK23)),sK24),sK23))) <- {4875} [avatar component clause 39440] 81.29/80.21 39442. ~4875 | ~2 | 3791 [avatar split clause 39389,29709,182,39440] 81.29/80.21 39444. 4876 <=> sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK23,vAPP_24_7(vAPP_25_7(sK10,sK24),sK23)),vAPP_24_7(vAPP_25_7(vAPP_32_5(vAPP_33_6(sK22,vAPP_11_7(vAPP_26_7(sK13,sK24),sK23)),vAPP_24_7(vAPP_25_7(sK10,sK24),sK23)),sK24),sK23))) [avatar definition] 81.29/80.21 39447. 4877 <=> ~sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK23,vAPP_24_7(vAPP_25_7(sK10,sK24),sK23)),vAPP_24_7(vAPP_25_7(vAPP_32_5(vAPP_33_6(sK22,vAPP_11_7(vAPP_26_7(sK13,sK24),sK23)),vAPP_24_7(vAPP_25_7(sK10,sK24),sK23)),sK24),sK23))) [avatar definition] 81.29/80.21 39449. ~4877 | ~2 | 3791 [avatar split clause 39390,29709,182,39447] 81.29/80.21 42654. sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK13,sK24),sK23),vAPP_24_7(vAPP_25_7(sK11,sK24),sK23))) | ~sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK13,sK24),sK23),vAPP_24_7(vAPP_25_7(vAPP_27_6(sK21,vAPP_11_7(vAPP_26_7(sK13,sK24),sK23)),sK24),sK23))) | ~sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK24,vAPP_24_7(vAPP_25_7(sK10,sK24),sK23)),vAPP_24_7(vAPP_25_7(vAPP_32_5(vAPP_33_6(sK22,vAPP_11_7(vAPP_26_7(sK13,sK24),sK23)),vAPP_24_7(vAPP_25_7(sK10,sK24),sK23)),sK24),sK23))) <- {2, 102} [resolution 24933,945] 81.29/80.21 43230. sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK13,sK24),sK23),vAPP_24_7(vAPP_25_7(sK11,sK24),sK23))) | ~sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK13,sK24),sK23),vAPP_24_7(vAPP_25_7(vAPP_27_6(sK21,vAPP_11_7(vAPP_26_7(sK13,sK24),sK23)),sK24),sK23))) | ~sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK23,vAPP_24_7(vAPP_25_7(sK10,sK24),sK23)),vAPP_24_7(vAPP_25_7(vAPP_32_5(vAPP_33_6(sK22,vAPP_11_7(vAPP_26_7(sK13,sK24),sK23)),vAPP_24_7(vAPP_25_7(sK10,sK24),sK23)),sK24),sK23))) <- {2, 102} [resolution 25023,945] 81.29/80.21 47673. 5708 <=> ! [X3 : a] : (~sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK23,X3),vAPP_24_7(vAPP_25_7(vAPP_27_6(sK21,vAPP_11_7(vAPP_26_7(sK13,sK24),sK23)),sK24),sK23))) | ~sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK13,sK24),sK23),X3))) [avatar definition] 81.29/80.21 47674. ~sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK23,X3),vAPP_24_7(vAPP_25_7(vAPP_27_6(sK21,vAPP_11_7(vAPP_26_7(sK13,sK24),sK23)),sK24),sK23))) | ~sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK13,sK24),sK23),X3)) <- {5708} [avatar component clause 47673] 81.29/80.21 53608. 6151 <=> ~sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK24,vAPP_24_7(vAPP_25_7(vAPP_27_6(sK20,vAPP_11_7(vAPP_26_7(sK13,sK24),sK23)),sK24),sK23)),vAPP_24_7(vAPP_25_7(vAPP_27_6(sK21,vAPP_11_7(vAPP_26_7(sK13,sK24),sK23)),sK24),sK23))) [avatar definition] 81.29/80.21 53611. 6150 <=> sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK24,vAPP_24_7(vAPP_25_7(vAPP_27_6(sK20,vAPP_11_7(vAPP_26_7(sK13,sK24),sK23)),sK24),sK23)),vAPP_24_7(vAPP_25_7(vAPP_27_6(sK21,vAPP_11_7(vAPP_26_7(sK13,sK24),sK23)),sK24),sK23))) [avatar definition] 81.29/80.21 53752. sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK13,sK24),sK23),X2)) | sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK13,sK24),sK23),vAPP_24_7(vAPP_25_7(vAPP_27_6(sK20,vAPP_11_7(vAPP_26_7(sK13,sK24),sK23)),sK24),sK23))) | ~sP0(X2,sK23,sK24,vAPP_24_7(vAPP_25_7(sK10,sK24),sK23)) <- {3790} [resolution 29707,155] 81.29/80.21 53753. sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK13,sK24),sK23),X3)) | sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK23,vAPP_24_7(vAPP_25_7(vAPP_27_6(sK20,vAPP_11_7(vAPP_26_7(sK13,sK24),sK23)),sK24),sK23)),vAPP_24_7(vAPP_25_7(vAPP_27_6(sK21,vAPP_11_7(vAPP_26_7(sK13,sK24),sK23)),sK24),sK23))) | sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK24,vAPP_24_7(vAPP_25_7(vAPP_27_6(sK20,vAPP_11_7(vAPP_26_7(sK13,sK24),sK23)),sK24),sK23)),vAPP_24_7(vAPP_25_7(vAPP_27_6(sK21,vAPP_11_7(vAPP_26_7(sK13,sK24),sK23)),sK24),sK23))) | ~sP0(X3,sK23,sK24,vAPP_24_7(vAPP_25_7(sK10,sK24),sK23)) <- {3790} [resolution 29707,153] 81.29/80.21 53764. 6171 <=> ~sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK13,sK24),sK23),vAPP_24_7(vAPP_25_7(vAPP_27_6(sK20,vAPP_11_7(vAPP_26_7(sK13,sK24),sK23)),sK24),sK23))) [avatar definition] 81.29/80.21 53767. 6170 <=> sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK13,sK24),sK23),vAPP_24_7(vAPP_25_7(vAPP_27_6(sK20,vAPP_11_7(vAPP_26_7(sK13,sK24),sK23)),sK24),sK23))) [avatar definition] 81.29/80.21 53768. sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK13,sK24),sK23),vAPP_24_7(vAPP_25_7(vAPP_27_6(sK20,vAPP_11_7(vAPP_26_7(sK13,sK24),sK23)),sK24),sK23))) <- {6170} [avatar component clause 53767] 81.29/80.21 53770. 6172 <=> ! [X2 : a] : (sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK13,sK24),sK23),X2)) | ~sP0(X2,sK23,sK24,vAPP_24_7(vAPP_25_7(sK10,sK24),sK23))) [avatar definition] 81.29/80.21 53771. ~sP0(X2,sK23,sK24,vAPP_24_7(vAPP_25_7(sK10,sK24),sK23)) | sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK13,sK24),sK23),X2)) <- {6172} [avatar component clause 53770] 81.29/80.21 53772. 6170 | 6172 | ~3790 [avatar split clause 53752,29706,53770,53767] 81.29/80.21 53774. 6175 <=> ~sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK23,vAPP_24_7(vAPP_25_7(vAPP_27_6(sK20,vAPP_11_7(vAPP_26_7(sK13,sK24),sK23)),sK24),sK23)),vAPP_24_7(vAPP_25_7(vAPP_27_6(sK21,vAPP_11_7(vAPP_26_7(sK13,sK24),sK23)),sK24),sK23))) [avatar definition] 81.29/80.21 53777. 6174 <=> sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK23,vAPP_24_7(vAPP_25_7(vAPP_27_6(sK20,vAPP_11_7(vAPP_26_7(sK13,sK24),sK23)),sK24),sK23)),vAPP_24_7(vAPP_25_7(vAPP_27_6(sK21,vAPP_11_7(vAPP_26_7(sK13,sK24),sK23)),sK24),sK23))) [avatar definition] 81.29/80.21 53779. 6150 | 6174 | 6172 | ~3790 [avatar split clause 53753,29706,53770,53777,53611] 81.29/80.21 53781. sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK13,sK24),sK23),X0)) | ~sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK24,vAPP_24_7(vAPP_25_7(vAPP_27_6(sK20,vAPP_11_7(vAPP_26_7(sK13,sK24),sK23)),sK24),sK23)),X0)) | ~sP2(sK23,sK24) <- {6170} [resolution 53768,136] 81.29/80.21 53782. sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK13,sK24),sK23),X1)) | ~sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK23,vAPP_24_7(vAPP_25_7(vAPP_27_6(sK20,vAPP_11_7(vAPP_26_7(sK13,sK24),sK23)),sK24),sK23)),X1)) | ~sP2(sK23,sK24) <- {6170} [resolution 53768,135] 81.29/80.21 53784. 6176 <=> ! [X0 : a] : (sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK13,sK24),sK23),X0)) | ~sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK24,vAPP_24_7(vAPP_25_7(vAPP_27_6(sK20,vAPP_11_7(vAPP_26_7(sK13,sK24),sK23)),sK24),sK23)),X0))) [avatar definition] 81.29/80.21 53785. sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK13,sK24),sK23),X0)) | ~sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK24,vAPP_24_7(vAPP_25_7(vAPP_27_6(sK20,vAPP_11_7(vAPP_26_7(sK13,sK24),sK23)),sK24),sK23)),X0)) <- {6176} [avatar component clause 53784] 81.29/80.21 53786. ~3 | 6176 | ~6170 [avatar split clause 53781,53767,53784,179] 81.29/80.21 53788. 6178 <=> ! [X1 : a] : (sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK13,sK24),sK23),X1)) | ~sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK23,vAPP_24_7(vAPP_25_7(vAPP_27_6(sK20,vAPP_11_7(vAPP_26_7(sK13,sK24),sK23)),sK24),sK23)),X1))) [avatar definition] 81.29/80.21 53789. sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK13,sK24),sK23),X1)) | ~sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK23,vAPP_24_7(vAPP_25_7(vAPP_27_6(sK20,vAPP_11_7(vAPP_26_7(sK13,sK24),sK23)),sK24),sK23)),X1)) <- {6178} [avatar component clause 53788] 81.29/80.21 53790. ~3 | 6178 | ~6170 [avatar split clause 53782,53767,53788,179] 81.29/80.21 56035. ~sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK24,vAPP_24_7(vAPP_25_7(vAPP_27_6(sK20,vAPP_11_7(vAPP_26_7(sK13,sK24),sK23)),sK24),sK23)),vAPP_24_7(vAPP_25_7(vAPP_27_6(sK21,vAPP_11_7(vAPP_26_7(sK13,sK24),sK23)),sK24),sK23))) <- {3793, 6176} [resolution 53785,29716] 81.29/80.21 56125. ~6151 | 3793 | ~6176 [avatar split clause 56035,53784,29715,53608] 81.29/80.21 61260. ~sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK23,X3),vAPP_24_7(vAPP_25_7(vAPP_27_6(sK21,vAPP_11_7(vAPP_26_7(sK13,sK24),sK23)),sK24),sK23))) | sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK13,sK24),sK23),vAPP_24_7(vAPP_25_7(sK11,sK24),sK23))) | sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK24,vAPP_24_7(vAPP_25_7(sK10,sK24),sK23)),vAPP_24_7(vAPP_25_7(vAPP_32_5(vAPP_33_6(sK22,vAPP_11_7(vAPP_26_7(sK13,sK24),sK23)),vAPP_24_7(vAPP_25_7(sK10,sK24),sK23)),sK24),sK23))) | sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK23,vAPP_24_7(vAPP_25_7(sK10,sK24),sK23)),vAPP_24_7(vAPP_25_7(vAPP_32_5(vAPP_33_6(sK22,vAPP_11_7(vAPP_26_7(sK13,sK24),sK23)),vAPP_24_7(vAPP_25_7(sK10,sK24),sK23)),sK24),sK23))) | ~sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK13,sK24),sK23),X3)) <- {2, 102} [resolution 25153,945] 81.29/80.21 61261. 4876 | 4874 | 346 | 5708 | ~2 | ~102 [avatar split clause 61260,944,182,47673,2392,39437,39444] 81.29/80.21 65653. sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK13,sK24),sK23),vAPP_24_7(vAPP_25_7(sK11,sK24),sK23))) | sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK23,vAPP_24_7(vAPP_25_7(vAPP_27_6(sK20,vAPP_11_7(vAPP_26_7(sK13,sK24),sK23)),sK24),sK23)),vAPP_24_7(vAPP_25_7(vAPP_27_6(sK21,vAPP_11_7(vAPP_26_7(sK13,sK24),sK23)),sK24),sK23))) | sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK24,vAPP_24_7(vAPP_25_7(vAPP_27_6(sK20,vAPP_11_7(vAPP_26_7(sK13,sK24),sK23)),sK24),sK23)),vAPP_24_7(vAPP_25_7(vAPP_27_6(sK21,vAPP_11_7(vAPP_26_7(sK13,sK24),sK23)),sK24),sK23))) | ~sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK23,vAPP_24_7(vAPP_25_7(sK10,sK24),sK23)),vAPP_24_7(vAPP_25_7(vAPP_32_5(vAPP_33_6(sK22,vAPP_11_7(vAPP_26_7(sK13,sK24),sK23)),vAPP_24_7(vAPP_25_7(sK10,sK24),sK23)),sK24),sK23))) <- {2, 102} [resolution 25022,945] 81.29/80.21 66227. ~4877 | 6150 | 6174 | 346 | ~2 | ~102 [avatar split clause 65653,944,182,2392,53777,53611,39447] 81.29/80.21 66228. ~4877 | ~3793 | 346 | ~2 | ~102 [avatar split clause 43230,944,182,2392,29715,39447] 81.29/80.21 68421. sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK13,sK24),sK23),vAPP_24_7(vAPP_25_7(sK11,sK24),sK23))) <- {102, 6172} [resolution 53771,945] 81.29/80.21 68423. 346 | ~102 | ~6172 [avatar split clause 68421,53770,944,2392] 81.29/80.21 71966. ~sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK13,sK24),sK23),vAPP_24_7(vAPP_25_7(vAPP_27_6(sK20,vAPP_11_7(vAPP_26_7(sK13,sK24),sK23)),sK24),sK23))) | sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK13,sK24),sK23),vAPP_24_7(vAPP_25_7(sK11,sK24),sK23))) | sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK24,vAPP_24_7(vAPP_25_7(vAPP_27_6(sK20,vAPP_11_7(vAPP_26_7(sK13,sK24),sK23)),sK24),sK23)),vAPP_24_7(vAPP_25_7(vAPP_27_6(sK21,vAPP_11_7(vAPP_26_7(sK13,sK24),sK23)),sK24),sK23))) | sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK24,vAPP_24_7(vAPP_25_7(sK10,sK24),sK23)),vAPP_24_7(vAPP_25_7(vAPP_32_5(vAPP_33_6(sK22,vAPP_11_7(vAPP_26_7(sK13,sK24),sK23)),vAPP_24_7(vAPP_25_7(sK10,sK24),sK23)),sK24),sK23))) | sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK23,vAPP_24_7(vAPP_25_7(sK10,sK24),sK23)),vAPP_24_7(vAPP_25_7(vAPP_32_5(vAPP_33_6(sK22,vAPP_11_7(vAPP_26_7(sK13,sK24),sK23)),vAPP_24_7(vAPP_25_7(sK10,sK24),sK23)),sK24),sK23))) <- {102, 5708} [resolution 47674,24745] 81.29/80.21 71982. 4876 | 4874 | 6150 | 346 | ~6171 | ~102 | ~5708 [avatar split clause 71966,47673,944,53764,2392,53611,39437,39444] 81.29/80.21 95059. ~sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK23,vAPP_24_7(vAPP_25_7(vAPP_27_6(sK20,vAPP_11_7(vAPP_26_7(sK13,sK24),sK23)),sK24),sK23)),vAPP_24_7(vAPP_25_7(vAPP_27_6(sK21,vAPP_11_7(vAPP_26_7(sK13,sK24),sK23)),sK24),sK23))) <- {3793, 6178} [resolution 53789,29716] 81.29/80.21 95139. ~6175 | 3793 | ~6178 [avatar split clause 95059,53788,29715,53774] 81.29/80.21 95248. ~4875 | ~3793 | 346 | ~2 | ~102 [avatar split clause 42654,944,182,2392,29715,39440] 81.29/80.21 149692. sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK13,sK24),sK23),vAPP_24_7(vAPP_25_7(vAPP_27_6(sK20,vAPP_11_7(vAPP_26_7(sK13,sK24),sK23)),sK24),sK23))) | sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK13,sK24),sK23),vAPP_24_7(vAPP_25_7(sK11,sK24),sK23))) | sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK23,vAPP_24_7(vAPP_25_7(sK10,sK24),sK23)),vAPP_24_7(vAPP_25_7(vAPP_32_5(vAPP_33_6(sK22,vAPP_11_7(vAPP_26_7(sK13,sK24),sK23)),vAPP_24_7(vAPP_25_7(sK10,sK24),sK23)),sK24),sK23))) <- {102, 4875} [resolution 39441,24747] 81.29/80.21 149696. sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK13,sK24),sK23),X2)) | ~sQ33_eqProxy($true,vAPP_6_5(vAPP_11_7(vAPP_26_7(sK13,sK24),sK23),vAPP_24_7(vAPP_25_7(vAPP_27_6(sK21,vAPP_11_7(vAPP_26_7(sK13,sK24),sK23)),sK24),sK23))) | sQ33_eqProxy($true,vAPP_6_5(vAPP_7_5(sK23,vAPP_24_7(vAPP_25_7(sK10,sK24),sK23)),vAPP_24_7(vAPP_25_7(vAPP_32_5(vAPP_33_6(sK22,vAPP_11_7(vAPP_26_7(sK13,sK24),sK23)),vAPP_24_7(vAPP_25_7(sK10,sK24),sK23)),sK24),sK23))) | ~sP0(X2,sK23,sK24,vAPP_24_7(vAPP_25_7(sK10,sK24),sK23)) <- {4875} [resolution 39441,152] 81.29/80.21 149716. 4876 | 346 | 6170 | ~102 | 4875 [avatar split clause 149692,39440,944,53767,2392,39444] 81.29/80.21 149719. 4876 | ~3793 | 6172 | 4875 [avatar split clause 149696,39440,53770,29715,39444] 81.29/80.21 149722. $false [avatar sat refutation 149719,71982,61261,56125,66227,95139,39442,53779,68423,53790,53786,24534,12247,648,205,913,861,794,485,492,854,177,864,213,209,201,197,454,193,15144,12448,12798,12456,12441,15089,12434,12455,12457,24401,24160,22391,24172,24409,17863,24161,24416,946,1207,6635,2162,6615,2085,1940,1518,6623,1522,953,2397,2166,1193,1215,149716,39449,53772,95248,66228] 81.29/80.21 % SZS output end Proof for theBenchmark 81.29/80.21 % ------------------------------ 81.29/80.21 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 81.29/80.21 % Termination reason: Refutation 81.29/80.21 81.29/80.21 % Memory used [KB]: 75734 81.29/80.21 % Time elapsed: 25.941 s 81.29/80.21 % ------------------------------ 81.29/80.21 % ------------------------------ 81.29/80.22 % Success in time 79.877 s 81.29/80.22 EOF