0.00/0.11	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.11/0.12	% Command    : run_vampire %s %d
0.12/0.33	% Computer   : n020.cluster.edu
0.12/0.33	% Model      : x86_64 x86_64
0.12/0.33	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.12/0.33	% Memory     : 8042.1875MB
0.12/0.33	% OS         : Linux 3.10.0-693.el7.x86_64
0.12/0.33	% CPULimit   : 960
0.12/0.33	% WCLimit    : 120
0.12/0.33	% DateTime   : Thu Jul  2 08:26:32 EDT 2020
0.12/0.33	% CPUTime    : 
0.19/0.38	% (2614)dis-11_3_add=off:afp=40000:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afq=1.0:amm=sco:anc=none:gs=on:irw=on:lcm=reverse:nm=6:nwc=1:sd=4:ss=axioms:st=3.0:sos=on:sac=on_2 on theBenchmark
0.19/0.38	% (2619)lrs+1010_3:2_afr=on:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afp=100000:afq=1.1:anc=none:gsp=input_only:irw=on:lwlo=on:nm=2:newcnf=on:nwc=1.7:sac=on:sp=occurrence_300 on theBenchmark
0.19/0.38	% (2625)dis+10_4_av=off:bsr=on:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:cond=fast:er=filter:fde=none:gsp=input_only:lcm=reverse:lma=on:nwc=4:sp=occurrence:urr=on_8 on theBenchmark
0.19/0.39	% (2604)lrs-11_4:1_afp=4000:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afq=2.0:anc=none:br=off:gs=on:lwlo=on:nm=64:nwc=3:stl=30:urr=on_2 on theBenchmark
0.19/0.39	% (2605)lrs+1011_8_add=large:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afp=100000:afq=1.1:er=filter:gsp=input_only:gs=on:gsem=on:lma=on:nm=6:nwc=1:stl=30:sd=2:ss=axioms:st=1.5:sos=on_3 on theBenchmark
0.19/0.39	% (2606)dis+10_128_acc=on:add=off:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afp=4000:afq=1.4:amm=off:bd=preordered:cond=on:fsr=off:fde=unused:gs=on:gsem=on:irw=on:lma=on:nm=64:nwc=1.2:nicw=on:sos=on:sp=occurrence:updr=off:uhcvi=on_2 on theBenchmark
0.19/0.39	% (2607)lrs+1010_8_add=off:afp=100000:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afq=1.0:amm=off:anc=none:irw=on:nm=16:newcnf=on:nwc=1.1:nicw=on:stl=30:sp=reverse_arity:urr=on_13 on theBenchmark
0.19/0.39	% (2608)ott+1002_8:1_add=off:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afr=on:afp=100000:afq=1.1:amm=off:anc=none:bd=off:bs=unit_only:fsr=off:gs=on:gsem=off:nm=32:nwc=10:sp=occurrence:urr=on:updr=off_14 on theBenchmark
0.19/0.39	% (2603)ott+1002_2_av=off:bd=preordered:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:irw=on:lma=on:nm=64:nwc=10:sp=reverse_arity:updr=off_2 on theBenchmark
0.19/0.39	% (2617)lrs+1002_1_av=off:er=filter:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:fsr=off:gs=on:gsem=off:irw=on:lma=on:nm=4:nwc=1:stl=30:sd=3:ss=axioms:st=1.5:sos=on_1 on theBenchmark
0.19/0.40	% (2609)lrs+1011_5:1_acc=on:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:amm=off:anc=all_dependent:bd=off:ccuc=small_ones:fde=unused:gs=on:gsaa=full_model:gsem=off:lcm=predicate:lwlo=on:nm=6:newcnf=on:nwc=2.5:stl=30:sp=occurrence:updr=off_3 on theBenchmark
0.19/0.40	% (2627)lrs+1011_5_add=large:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afp=1000:afq=1.2:anc=none:fsr=off:irw=on:lma=on:nm=64:newcnf=on:nwc=1:stl=30:sd=3:ss=axioms:st=2.0:sos=on:sac=on:sp=reverse_arity:urr=on:updr=off_130 on theBenchmark
0.19/0.41	% (2632)dis-11_3_add=off:afp=40000:csup=on:inj=on:chr=on:e2e=on:prag=on:foolp=on:cnfonf=eager:afq=1.0:fde=all:amm=sco:anc=none:gs=on:irw=on:lcm=reverse:nm=6:nwc=1:sd=4:ss=axioms:st=3.0:sos=on:sac=on_50 on theBenchmark
0.19/0.41	% (2610)lrs+4_3_av=off:br=off:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:nm=0:newcnf=on:nwc=1:stl=30:sp=occurrence:urr=on_32 on theBenchmark
0.19/0.41	% (2630)lrs-11_4:1_afp=4000:csup=on:inj=on:mXXn=1:foolp=on:e2e=on:cnfonf=eager:afq=2.0:anc=none:br=off:gs=on:lwlo=on:nm=64:nwc=3:stl=30:urr=on_186 on theBenchmark
0.19/0.41	% (2626)lrs+1002_1_add=large:csup=on:inj=on:fe=off:chr=on:foolp=on:cnfonf=eager:afr=on:afp=1000:afq=1.1:amm=sco:anc=none:er=known:fsr=off:gs=on:gsem=off:lma=on:nm=2:newcnf=on:nwc=2:stl=30:sd=1:ss=axioms:st=5.0:sp=reverse_arity:updr=off_50 on theBenchmark
0.19/0.41	% (2628)lrs+1010_8_add=off:afp=100000:csup=on:inj=off:foolp=on:chr=off:e2e=on:cnfonf=eager:afq=1.0:amm=off:anc=none:irw=on:nm=16:newcnf=on:nwc=1.1:nicw=on:stl=30:sp=reverse_arity:urr=on_13 on theBenchmark
0.19/0.41	% (2631)dis+1002_4_add=large:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afp=40000:afq=1.0:anc=none:cond=fast:fde=none:gs=on:gsaa=full_model:lma=on:lwlo=on:nm=0:nwc=1.5:sp=reverse_arity:tha=off_300 on theBenchmark
0.19/0.41	% (2629)lrs+1_4_afp=100000:afq=1.2:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:anc=none:bd=off:cond=on:gs=on:gsem=off:nm=64:nwc=1:sd=2:ss=axioms:st=2.0:sos=all:updr=off_300 on theBenchmark
0.20/0.42	% (2621)ott+11_20_afr=on:afp=100000:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afq=1.0:amm=sco:anc=all:bsr=on:irw=on:lma=on:nm=4:nwc=1.2:sac=on:sp=occurrence_6 on theBenchmark
0.20/0.42	% (2623)lrs+10_12_add=off:afp=100000:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afq=1.4:amm=sco:anc=none:cond=on:lma=on:nm=64:nwc=1.3:stl=30:sac=on:urr=on_41 on theBenchmark
0.20/0.42	% (2618)ott+2_2_afp=10000:afq=1.4:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:amm=off:anc=none:gsp=input_only:gs=on:gsem=off:irw=on:lcm=predicate:nm=32:nwc=1.5:sos=on:sp=reverse_arity_7 on theBenchmark
0.20/0.42	% (2620)lrs+1011_5:1_acc=on:csup=on:inj=on:e2e=on:prag=on:foolp=on:cnfonf=eager:amm=off:anc=all_dependent:bd=off:ccuc=small_ones:fde=unused:gs=on:gsaa=full_model:gsem=off:lcm=predicate:lwlo=on:nm=6:newcnf=on:nwc=2.5:stl=30:sp=occurrence:updr=off_30 on theBenchmark
0.20/0.42	% (2622)dis+1002_3:1_acc=model:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afr=on:afp=40000:afq=1.1:anc=none:ccuc=first:fsr=off:gsp=input_only:irw=on:nm=16:nwc=1:sos=all_8 on theBenchmark
0.20/0.42	% (2616)lrs+1010_3_av=off:fsr=off:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:gs=on:gsem=off:nm=2:newcnf=on:nwc=2:stl=30:sp=reverse_arity:urr=on:updr=off_9 on theBenchmark
0.20/0.43	% (2615)dis+1002_6_add=large:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afp=40000:afq=2.0:bsr=on:cond=on:irw=on:lma=on:nm=2:nwc=2.5:nicw=on:sp=reverse_arity:updr=off_2 on theBenchmark
0.20/0.43	% (2624)lrs-11_4:1_afp=4000:csup=on:inj=on:chr=on:foolp=on:cnfonf=lazy_gen:afq=2.0:anc=none:br=off:gs=on:lwlo=on:nm=64:nwc=3:stl=30:urr=on_30 on theBenchmark
0.20/0.43	% (2611)dis+1010_3:2_av=off:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:gsp=input_only:nm=2:nwc=1:sp=reverse_arity:urr=ec_only_29 on theBenchmark
0.20/0.43	% (2612)dis+1_2:3_acc=on:add=large:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afp=40000:afq=2.0:amm=sco:anc=none:er=filter:fsr=off:gsp=input_only:gs=on:gsem=off:nm=64:newcnf=on:nwc=1_3 on theBenchmark
0.20/0.43	% (2613)dis+10_128_acc=on:add=off:add=off:afp=4000:afq=1.4:amm=off:bd=preordered:cond=on:fsr=off:fde=unused:gs=on:gsem=on:irw=on:lma=on:nm=64:nwc=1.2:nicw=on:sos=on:sp=occurrence:updr=off:uhcvi=on_40 on theBenchmark
0.20/0.54	% (2613)Refutation not found, incomplete strategy
0.20/0.54	% (2613)------------------------------
0.20/0.54	% (2613)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
0.20/0.54	% (2613)Termination reason: Refutation not found, incomplete strategy
0.20/0.54	
0.20/0.54	% (2613)Memory used [KB]: 13816
0.20/0.54	% (2613)Time elapsed: 0.166 s
0.20/0.54	% (2613)------------------------------
0.20/0.54	% (2613)------------------------------
1.89/0.59	% (2633)dis+1011_10_add=large:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afr=on:afp=4000:afq=1.0:amm=off:anc=none:lma=on:nm=64:nwc=4:sac=on:sp=occurrence_75 on theBenchmark
3.28/0.80	% (2617)Time limit reached!
3.28/0.80	% (2617)------------------------------
3.28/0.80	% (2617)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
3.28/0.80	% (2617)Termination reason: Time limit
3.28/0.80	
3.28/0.80	% (2617)Memory used [KB]: 8187
3.28/0.80	% (2617)Time elapsed: 0.424 s
3.28/0.80	% (2617)------------------------------
3.28/0.80	% (2617)------------------------------
3.28/0.83	% (2634)dis+1010_3:2_av=off:csup=on:prag=on:chr=on:foolp=on:bet=on:cnfonf=lazy_not_be_gen:gsp=input_only:nm=2:nwc=1:sp=reverse_arity:urr=ec_only_29 on theBenchmark
4.04/0.86	% (2614)Time limit reached!
4.04/0.86	% (2614)------------------------------
4.04/0.86	% (2614)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
4.04/0.86	% (2604)Time limit reached!
4.04/0.86	% (2604)------------------------------
4.04/0.86	% (2604)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
4.04/0.86	% (2604)Termination reason: Time limit
4.04/0.86	
4.04/0.86	% (2604)Memory used [KB]: 13688
4.04/0.86	% (2604)Time elapsed: 0.505 s
4.04/0.86	% (2604)------------------------------
4.04/0.86	% (2604)------------------------------
4.04/0.86	% (2614)Termination reason: Time limit
4.04/0.86	% (2614)Termination phase: Saturation
4.04/0.87	% (2615)Time limit reached!
4.04/0.87	% (2615)------------------------------
4.04/0.87	% (2615)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
4.04/0.87	% (2615)Termination reason: Time limit
4.04/0.87	
4.04/0.87	% (2615)Memory used [KB]: 7291
4.04/0.87	% (2615)Time elapsed: 0.505 s
4.04/0.87	% (2615)------------------------------
4.04/0.87	% (2615)------------------------------
4.04/0.87	
4.04/0.87	% (2614)Memory used [KB]: 12409
4.04/0.87	% (2614)Time elapsed: 0.500 s
4.04/0.87	% (2614)------------------------------
4.04/0.87	% (2614)------------------------------
4.04/0.87	% (2606)Time limit reached!
4.04/0.87	% (2606)------------------------------
4.04/0.87	% (2606)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
4.04/0.87	% (2606)Termination reason: Time limit
4.04/0.87	
4.04/0.87	% (2606)Memory used [KB]: 12665
4.04/0.87	% (2606)Time elapsed: 0.505 s
4.04/0.87	% (2606)------------------------------
4.04/0.87	% (2606)------------------------------
4.21/0.89	% (2603)Time limit reached!
4.21/0.89	% (2603)------------------------------
4.21/0.89	% (2603)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
4.21/0.89	% (2603)Termination reason: Time limit
4.21/0.89	
4.21/0.89	% (2603)Memory used [KB]: 5245
4.21/0.89	% (2603)Time elapsed: 0.526 s
4.21/0.89	% (2603)------------------------------
4.21/0.89	% (2603)------------------------------
4.21/0.89	% (2638)dis+1_3_add=large:afp=4000:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afq=1.0:anc=none:gs=on:gsem=off:inw=on:lcm=reverse:lwlo=on:nm=64:nwc=1:sos=all:sac=on:uwa=all:updr=off:uhcvi=on_125 on theBenchmark
4.21/0.91	% (2635)lrs+1011_8_add=large:csup=on:inj=on:prag=on:foolp=on:cnfonf=eager:afp=100000:afq=1.1:er=filter:gsp=input_only:gs=on:gsem=on:lma=on:nm=6:nwc=1:stl=30:sd=2:ss=axioms:st=1.5:sos=on_26 on theBenchmark
4.21/0.92	% (2636)lrs+1011_8_add=large:csup=on:fe=off:foolp=on:cnfonf=eager:afp=100000:afq=1.1:er=filter:gsp=input_only:gs=on:gsem=on:lma=on:nm=6:nwc=1:stl=30:sd=2:ss=axioms:st=1.5:sos=on_30 on theBenchmark
4.21/0.92	% (2637)dis+1002_4_add=large:csup=on:narr=off:inj=on:prag=on:cbe=off:foolp=on:cnfonf=eager:afp=40000:afq=1.0:anc=none:cond=fast:fde=none:gs=on:gsaa=full_model:lma=on:lwlo=on:nm=0:nwc=1.5:sp=reverse_arity_27 on theBenchmark
4.21/0.92	% (2639)dis+1010_3:1_av=off:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:irw=on:nm=32:nwc=1:sos=all:urr=ec_only:updr=off_77 on theBenchmark
4.56/0.96	% (2612)Time limit reached!
4.56/0.96	% (2612)------------------------------
4.56/0.96	% (2612)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
4.56/0.96	% (2612)Termination reason: Time limit
4.56/0.96	% (2612)Termination phase: Saturation
4.56/0.96	
4.56/0.96	% (2612)Memory used [KB]: 13816
4.56/0.96	% (2612)Time elapsed: 0.600 s
4.56/0.96	% (2612)------------------------------
4.56/0.96	% (2612)------------------------------
4.56/0.98	% (2605)Time limit reached!
4.56/0.98	% (2605)------------------------------
4.56/0.98	% (2605)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
4.56/0.98	% (2605)Termination reason: Time limit
4.56/0.98	
4.56/0.98	% (2605)Memory used [KB]: 14839
4.56/0.98	% (2605)Time elapsed: 0.616 s
4.56/0.98	% (2605)------------------------------
4.56/0.98	% (2605)------------------------------
4.56/0.99	% (2609)Time limit reached!
4.56/0.99	% (2609)------------------------------
4.56/0.99	% (2609)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
4.56/0.99	% (2609)Termination reason: Time limit
4.56/0.99	% (2609)Termination phase: Saturation
4.56/0.99	
4.56/0.99	% (2609)Memory used [KB]: 14839
4.56/0.99	% (2609)Time elapsed: 0.600 s
4.56/0.99	% (2609)------------------------------
4.56/0.99	% (2609)------------------------------
4.56/1.00	% (2640)lrs+1011_5:4_acc=on:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:add=large:afr=on:afp=10000:afq=2.0:amm=sco:anc=none:bsr=on:ccuc=first:cond=on:fde=unused:gs=on:gsaa=from_current:gsem=off:irw=on:nm=2:newcnf=on:nwc=1.2:stl=30:sos=on:sac=on:sp=reverse_arity:updr=off_126 on theBenchmark
4.97/1.05	% (2641)lrs+1002_1_add=large:csup=on:narr=off:inj=on:fe=off:chr=on:foolp=on:cnfonf=eager:afr=on:afp=1000:afq=1.1:amm=sco:anc=none:er=known:fsr=off:gs=on:gsem=off:lma=on:nm=2:newcnf=on:nwc=2:stl=30:sd=1:ss=axioms:st=5.0:sp=reverse_arity:updr=off_50 on theBenchmark
4.97/1.05	% (2642)lrs-3_4:1_afp=1000:afq=1.4:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager: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
6.90/1.28	% (2621)Time limit reached!
6.90/1.28	% (2621)------------------------------
6.90/1.28	% (2621)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
6.90/1.29	% (2621)Termination reason: Time limit
6.90/1.29	% (2621)Termination phase: Saturation
6.90/1.29	
6.90/1.29	% (2621)Memory used [KB]: 8699
6.90/1.29	% (2621)Time elapsed: 0.900 s
6.90/1.29	% (2621)------------------------------
6.90/1.29	% (2621)------------------------------
7.48/1.34	% (2643)ott+11_2:1_add=large:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager: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_9 on theBenchmark
8.01/1.38	% (2618)Time limit reached!
8.01/1.38	% (2618)------------------------------
8.01/1.38	% (2618)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
8.01/1.38	% (2618)Termination reason: Time limit
8.01/1.38	
8.01/1.38	% (2618)Memory used [KB]: 16502
8.01/1.38	% (2618)Time elapsed: 1.016 s
8.01/1.38	% (2618)------------------------------
8.01/1.38	% (2618)------------------------------
8.01/1.43	% (2648)lrs+1011_8_add=large:csup=off:foolp=on:cnfonf=eager:afp=100000:afq=1.1:er=filter:gsp=input_only:gs=on:gsem=on:lma=on:nm=6:nwc=1:stl=30:sd=2:ss=axioms:st=1.5:sos=on_13 on theBenchmark
8.01/1.46	% (2616)Time limit reached!
8.01/1.46	% (2616)------------------------------
8.01/1.46	% (2616)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
8.01/1.46	% (2622)Time limit reached!
8.01/1.46	% (2622)------------------------------
8.01/1.46	% (2622)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
8.01/1.46	% (2622)Termination reason: Time limit
8.01/1.46	
8.01/1.46	% (2622)Memory used [KB]: 12792
8.01/1.46	% (2622)Time elapsed: 1.105 s
8.01/1.46	% (2622)------------------------------
8.01/1.46	% (2622)------------------------------
8.01/1.46	% (2616)Termination reason: Time limit
8.01/1.46	% (2616)Termination phase: Saturation
8.01/1.46	
8.01/1.46	% (2616)Memory used [KB]: 13304
8.01/1.46	% (2616)Time elapsed: 1.100 s
8.01/1.46	% (2616)------------------------------
8.01/1.46	% (2616)------------------------------
8.77/1.49	% (2625)Time limit reached!
8.77/1.49	% (2625)------------------------------
8.77/1.49	% (2625)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
8.77/1.49	% (2625)Termination reason: Time limit
8.77/1.49	% (2625)Termination phase: Saturation
8.77/1.49	
8.77/1.49	% (2625)Memory used [KB]: 8443
8.77/1.49	% (2625)Time elapsed: 1.100 s
8.77/1.49	% (2625)------------------------------
8.77/1.49	% (2625)------------------------------
9.00/1.50	% (2650)dis+1011_4_av=off:cond=on:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:irw=on:lma=on:nm=2:nwc=1:sos=all:sp=occurrence_5 on theBenchmark
9.00/1.51	% (2648)Refutation not found, incomplete strategy
9.00/1.51	% (2648)------------------------------
9.00/1.51	% (2648)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
9.00/1.51	% (2648)Termination reason: Refutation not found, incomplete strategy
9.00/1.51	
9.00/1.51	% (2648)Memory used [KB]: 13816
9.00/1.51	% (2648)Time elapsed: 0.138 s
9.00/1.51	% (2648)------------------------------
9.00/1.51	% (2648)------------------------------
9.00/1.51	% (2649)lrs+1011_2:1_av=off:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:irw=on:lwlo=on:nm=16:newcnf=on:nwc=2:sd=4:ss=axioms:st=3.0:sp=occurrence_300 on theBenchmark
9.25/1.55	% (2651)lrs+10_3:1_av=off:bsr=on:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:cond=on:er=known:gs=on:lcm=reverse:nm=32:nwc=4:stl=30:sp=occurrence:urr=on:updr=off_73 on theBenchmark
9.25/1.57	% (2652)dis+10_1_add=off:afp=4000:csup=on:inj=on:chr=on:e2e=on:foolp=on:cnfonf=eager:afq=1.2:anc=none:br=off:cond=on:gs=on:irw=on:lcm=reverse:nwc=10:sd=10:ss=axioms:sos=theory:sac=on:sp=occurrence:urr=on_12 on theBenchmark
11.61/1.87	% (2607)Time limit reached!
11.61/1.87	% (2607)------------------------------
11.61/1.87	% (2607)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
11.61/1.87	% (2607)Termination reason: Time limit
11.61/1.87	
11.61/1.87	% (2607)Memory used [KB]: 15223
11.61/1.87	% (2607)Time elapsed: 1.507 s
11.61/1.87	% (2607)------------------------------
11.61/1.87	% (2607)------------------------------
11.61/1.89	% (2628)Time limit reached!
11.61/1.89	% (2628)------------------------------
11.61/1.89	% (2628)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
11.61/1.89	% (2628)Termination reason: Time limit
11.61/1.89	
11.61/1.89	% (2628)Memory used [KB]: 12920
11.61/1.89	% (2628)Time elapsed: 1.527 s
11.61/1.89	% (2628)------------------------------
11.61/1.89	% (2628)------------------------------
12.45/1.94	% (2653)lrs+4_3_av=off:bd=preordered:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:bs=unit_only:cond=fast:fde=unused:gsp=input_only:gs=on:gsem=on:lma=on:lwlo=on:nm=6:nwc=1:stl=60:sp=occurrence:uhcvi=on_481 on theBenchmark
12.45/1.94	% (2654)lrs+1002_1_av=off:fde=unused:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:lwlo=on:nm=16:nwc=4:sp=occurrence_300 on theBenchmark
14.84/2.28	% (2650)Time limit reached!
14.84/2.28	% (2650)------------------------------
14.84/2.28	% (2650)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
14.84/2.28	% (2650)Termination reason: Time limit
14.84/2.28	% (2650)Termination phase: Saturation
14.84/2.28	
14.84/2.28	% (2650)Memory used [KB]: 7803
14.84/2.28	% (2650)Time elapsed: 0.800 s
14.84/2.28	% (2650)------------------------------
14.84/2.28	% (2650)------------------------------
15.53/2.32	% (2655)ott+1002_2_av=off:bd=preordered:csup=on:inj=on:chr=on:foolp=on:cnfonf=lazy_not_gen_be_off:bet=on:sup=off:irw=on:lma=on:nm=64:nwc=10:sp=reverse_arity:updr=off_70 on theBenchmark
15.53/2.34	% (2608)Time limit reached!
15.53/2.34	% (2608)------------------------------
15.53/2.34	% (2608)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
15.53/2.34	% (2608)Termination reason: Time limit
15.53/2.34	% (2608)Termination phase: Saturation
15.53/2.34	
15.53/2.34	% (2608)Memory used [KB]: 18421
15.53/2.34	% (2608)Time elapsed: 1.600 s
15.53/2.34	% (2608)------------------------------
15.53/2.34	% (2608)------------------------------
15.53/2.38	% (2642)Time limit reached!
15.53/2.38	% (2642)------------------------------
15.53/2.38	% (2642)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
15.53/2.39	% (2656)lrs-11_4:1_afp=4000:csup=on:inj=on:bet=on:foolp=on:cnfonf=lazy_not_gen_be_off:afq=2.0:anc=none:br=off:gs=on:lwlo=on:nm=64:nwc=3:stl=30:urr=on_45 on theBenchmark
16.15/2.41	% (2642)Termination reason: Time limit
16.15/2.41	
16.15/2.41	% (2642)Memory used [KB]: 18805
16.15/2.41	% (2642)Time elapsed: 1.363 s
16.15/2.41	% (2642)------------------------------
16.15/2.41	% (2642)------------------------------
16.15/2.42	% (2643)Time limit reached!
16.15/2.42	% (2643)------------------------------
16.15/2.42	% (2643)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
16.15/2.42	% (2643)Termination reason: Time limit
16.15/2.42	
16.15/2.42	% (2643)Memory used [KB]: 12792
16.15/2.42	% (2643)Time elapsed: 1.103 s
16.15/2.42	% (2643)------------------------------
16.15/2.42	% (2643)------------------------------
16.15/2.46	% (2657)lrs+1011_8_add=large:csup=on:e2e=on:prag=on:mXXn=1:cnfonf=lazy_simp:afp=100000:afq=1.1:er=filter:gsp=input_only:gs=on:gsem=on:lma=on:nm=6:nwc=1:stl=30:sd=2:ss=axioms:st=1.5:sos=on_19 on theBenchmark
16.15/2.47	% (2658)dis+1011_4_av=off:cond=on:piset=false_true_not:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:irw=on:lma=on:nm=2:nwc=1:sos=all:sp=occurrence_5 on theBenchmark
20.42/2.97	% (2652)Time limit reached!
20.42/2.97	% (2652)------------------------------
20.42/2.97	% (2652)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
20.42/2.97	% (2652)Termination reason: Time limit
20.42/2.97	% (2652)Termination phase: Saturation
20.42/2.97	
20.42/2.97	% (2652)Memory used [KB]: 23155
20.42/2.97	% (2652)Time elapsed: 1.400 s
20.42/2.97	% (2652)------------------------------
20.42/2.97	% (2652)------------------------------
20.97/3.02	% (2659)dis+1002_7_acc=on:afp=4000:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afq=2.0:amm=sco:anc=none:cond=fast:fsr=off:gsp=input_only:gs=on:gsem=on:lma=on:nm=6:newcnf=on:nwc=1.1:nicw=on:sos=on:sac=on:sp=reverse_arity:urr=ec_only:updr=off_73 on theBenchmark
22.76/3.24	% (2658)Time limit reached!
22.76/3.24	% (2658)------------------------------
22.76/3.24	% (2658)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
22.76/3.24	% (2658)Termination reason: Time limit
22.76/3.24	
22.76/3.24	% (2658)Memory used [KB]: 6268
22.76/3.24	% (2658)Time elapsed: 0.820 s
22.76/3.24	% (2658)------------------------------
22.76/3.24	% (2658)------------------------------
22.76/3.29	% (2663)dis+11_24_afp=40000:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afq=1.1:amm=sco:anc=none:bs=on:gs=on:gsem=off:lcm=predicate:lma=on:nm=2:nwc=1:sos=on:sac=on:updr=off_91 on theBenchmark
24.68/3.50	% (2611)Time limit reached!
24.68/3.50	% (2611)------------------------------
24.68/3.50	% (2611)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
24.68/3.50	% (2611)Termination reason: Time limit
24.68/3.50	% (2611)Termination phase: Saturation
24.68/3.50	
24.68/3.50	% (2611)Memory used [KB]: 23666
24.68/3.50	% (2611)Time elapsed: 3.100 s
24.68/3.50	% (2611)------------------------------
24.68/3.50	% (2611)------------------------------
25.49/3.57	% (2670)lrs+1010_8_add=off:afp=100000:afq=1.0:amm=off:anc=none:csup=on:foolp=on:ptlr=on:irw=on:nm=16:newcnf=on:nwc=1.1:nicw=on:stl=30:sp=reverse_arity:urr=on_13 on theBenchmark
25.49/3.60	% (2620)Time limit reached!
25.49/3.60	% (2620)------------------------------
25.49/3.60	% (2620)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
25.49/3.60	% (2620)Termination reason: Time limit
25.49/3.60	
25.49/3.60	% (2620)Memory used [KB]: 28656
25.49/3.60	% (2620)Time elapsed: 3.237 s
25.49/3.60	% (2620)------------------------------
25.49/3.60	% (2620)------------------------------
26.07/3.65	% (2624)Time limit reached!
26.07/3.65	% (2624)------------------------------
26.07/3.65	% (2624)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
26.07/3.65	% (2624)Termination reason: Time limit
26.07/3.65	
26.07/3.65	% (2624)Memory used [KB]: 31854
26.07/3.65	% (2624)Time elapsed: 3.269 s
26.07/3.65	% (2624)------------------------------
26.07/3.65	% (2624)------------------------------
26.41/3.68	% (2671)lrs+1011_5_afr=on:afp=100000:narr=ski:prag=on:mXXn=3:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afq=1.0:amm=off:anc=none:cond=on:lma=on:nm=6:nwc=1:stl=30:sac=on:urr=on_15 on theBenchmark
26.41/3.71	% (2672)lrs+1011_5:4_acc=on:narr=off:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:add=large:afr=on:afp=0:afq=2.0:amm=sco:anc=none:bsr=on:ccuc=first:cond=on:fde=unused:gs=on:gsaa=from_current:gsem=off:irw=on:nm=2:newcnf=on:nwc=1.2:stl=30:sos=on:sac=on:sp=reverse_arity:updr=off_12 on theBenchmark
26.41/3.72	% (2635)Time limit reached!
26.41/3.72	% (2635)------------------------------
26.41/3.72	% (2635)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
26.41/3.72	% (2635)Termination reason: Time limit
26.41/3.72	
26.41/3.72	% (2635)Memory used [KB]: 30831
26.41/3.72	% (2635)Time elapsed: 2.822 s
26.41/3.72	% (2635)------------------------------
26.41/3.72	% (2635)------------------------------
26.98/3.79	% (2637)Time limit reached!
26.98/3.79	% (2637)------------------------------
26.98/3.79	% (2637)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
26.98/3.79	% (2637)Termination reason: Time limit
26.98/3.79	% (2637)Termination phase: Saturation
26.98/3.79	
26.98/3.79	% (2637)Memory used [KB]: 17526
26.98/3.79	% (2637)Time elapsed: 2.900 s
26.98/3.79	% (2637)------------------------------
26.98/3.79	% (2637)------------------------------
26.98/3.80	% (2673)lrs+1011_8_add=large:csup=on:narr=off:fe=off:foolp=on:cnfonf=eager:afp=100000:afq=1.1:er=filter:gsp=input_only:gs=on:gsem=on:lma=on:nm=6:nwc=1:stl=30:sd=2:ss=axioms:st=1.5:sos=on_10 on theBenchmark
26.98/3.80	% (2610)Time limit reached!
26.98/3.80	% (2610)------------------------------
26.98/3.80	% (2610)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
27.39/3.82	% (2610)Termination reason: Time limit
27.39/3.82	% (2610)Termination phase: Saturation
27.39/3.82	
27.39/3.82	% (2610)Memory used [KB]: 16247
27.39/3.82	% (2610)Time elapsed: 3.400 s
27.39/3.82	% (2610)------------------------------
27.39/3.82	% (2610)------------------------------
27.39/3.84	% (2674)lrs+11_3:2_add=large:afp=1000:afq=1.1:amm=sco:anc=none:csup=on:foolp=on:ptlr=on:bd=off:er=filter:irw=on:lcm=predicate:lma=on:nm=6:nwc=1:stl=30:sp=occurrence:urr=on:updr=off_10 on theBenchmark
27.62/3.86	% (2675)lrs+1011_8_add=large:csup=on:piset=all:inj=on:chr=on:foolp=on:cnfonf=eager:afp=100000:afq=1.1:er=filter:gsp=input_only:gs=on:gsem=on:lma=on:nm=6:nwc=1:stl=30:sd=2:ss=axioms:st=1.5:sos=on_31 on theBenchmark
28.58/3.97	% (2634)Time limit reached!
28.58/3.97	% (2634)------------------------------
28.58/3.97	% (2634)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
28.58/3.97	% (2634)Termination reason: Time limit
28.58/3.97	% (2634)Termination phase: Saturation
28.58/3.97	
28.58/3.97	% (2634)Memory used [KB]: 28912
28.58/3.97	% (2634)Time elapsed: 3.100 s
28.58/3.97	% (2634)------------------------------
28.58/3.97	% (2634)------------------------------
29.02/4.01	% (2676)lrs+1_8:1_av=off:cond=fast:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:fde=unused:lcm=predicate:nm=16:nwc=10:sp=occurrence:urr=ec_only_600 on theBenchmark
29.49/4.15	% (2673)Refutation found. Thanks to Tanya!
29.49/4.15	% SZS status Theorem for theBenchmark
29.49/4.15	% SZS output start Proof for theBenchmark
29.49/4.15	tff(func_def_3, type, ->: ('$tType' * '$tType') > '$tType').
29.49/4.15	tff(func_def_4, type, in: '$i' -> '$i' -> '$o').
29.49/4.15	tff(func_def_5, type, funcSet: '$i' -> '$i' -> '$i').
29.49/4.15	tff(func_def_6, type, ap: '$i' -> '$i' -> '$i' -> '$i' -> '$i').
29.49/4.15	tff(func_def_8, type, vAPP: !>[X0: $ttype, X1: $ttype]:(X0 -> X1 * X0) > X1).
29.49/4.15	tff(func_def_9, type, lam: '$i' -> '$i' -> ('$i' -> '$i') -> '$i').
29.49/4.15	tff(func_def_15, type, vIMP: '$o' -> '$o' -> '$o').
29.49/4.15	tff(func_def_16, type, vPI: !>[X0: $ttype]:(X0 -> '$o') -> '$o').
29.49/4.15	tff(func_def_17, type, bCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X1 -> X2) -> (X0 -> X1) -> X0 -> X2).
29.49/4.15	tff(func_def_18, type, cCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X0 -> X1 -> X2) -> X1 -> X0 -> X2).
29.49/4.15	tff(func_def_19, type, sCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X0 -> X1 -> X2) -> (X0 -> X1) -> X0 -> X2).
29.49/4.15	tff(func_def_20, type, vEQ: !>[X0: $ttype]:X0 -> X0 -> '$o').
29.49/4.15	tff(func_def_21, type, iCOMB: !>[X2: $ttype]:X2 -> X2).
29.49/4.15	tff(func_def_26, type, sK4: '$i' -> '$i' -> '$i' -> '$i' -> '$i').
29.49/4.15	tff(func_def_27, type, sK5: '$i' -> '$i' -> ('$i' -> '$i') -> '$i').
29.49/4.15	tff(func_def_28, type, sK6: '$i' -> '$i' -> ('$i' -> '$i') -> '$i').
29.49/4.15	tff(f1,axiom,(
29.49/4.15	  (ap2p = ! [X0,X1,X2] : (in @ X2 @ (funcSet @ X0 @ X1) => ! [X3] : (in @ X3 @ X0 => in @ (ap @ X0 @ X1 @ X2 @ X3) @ X1)))),
29.49/4.15	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap2p)).
29.49/4.15	tff(f2,axiom,(
29.49/4.15	  (lam2p = ! [X0,X1,X2 : '$i' -> '$i'] : (! [X3] : (in @ X3 @ X0 => in @ (X2 @ X3) @ X1) => in @ (lam @ X0 @ X1 @ (^[X3 : '$i'] : X2 @ X3)) @ (funcSet @ X0 @ X1)))),
29.49/4.15	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lam2p)).
29.49/4.15	tff(f3,axiom,(
29.49/4.15	  (funcext2 = ! [X0,X1,X2] : (in @ X2 @ (funcSet @ X0 @ X1) => ! [X4] : (in @ X4 @ (funcSet @ X0 @ X1) => (! [X3] : (in @ X3 @ X0 => ap @ X0 @ X1 @ X2 @ X3 = ap @ X0 @ X1 @ X4 @ X3) => X2 = X4))))),
29.49/4.15	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',funcext2)).
29.49/4.15	tff(f4,axiom,(
29.49/4.15	  (beta2 = ! [X0,X1,X2 : '$i' -> '$i'] : (! [X3] : (in @ X3 @ X0 => in @ (X2 @ X3) @ X1) => ! [X3] : (in @ X3 @ X0 => ap @ X0 @ X1 @ (lam @ X0 @ X1 @ (^[X5 : '$i'] : X2 @ X5)) @ X3 = X2 @ X3)))),
29.49/4.15	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',beta2)).
29.49/4.15	tff(f5,conjecture,(
29.49/4.15	  ap2p => (lam2p => (funcext2 => (beta2 => ! [X0,X1,X2] : (in @ X2 @ (funcSet @ X0 @ X1) => lam @ X0 @ X1 @ (^[X3 : '$i'] : ap @ X0 @ X1 @ X2 @ X3) = X2))))),
29.49/4.15	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',eta2)).
29.49/4.15	tff(f6,negated_conjecture,(
29.49/4.15	  ~(ap2p => (lam2p => (funcext2 => (beta2 => ! [X0,X1,X2] : (in @ X2 @ (funcSet @ X0 @ X1) => lam @ X0 @ X1 @ (^[X3 : '$i'] : ap @ X0 @ X1 @ X2 @ X3) = X2)))))),
29.49/4.15	  inference(negated_conjecture,[],[f5])).
29.49/4.15	tff(f7,plain,(
29.49/4.15	  ~(ap2p => (lam2p => (funcext2 => (beta2 => ! [X0,X1,X2] : (in @ X2 @ (funcSet @ X0 @ X1) => lam @ X0 @ X1 @ (^[X3 : '$i'] : ap @ X0 @ X1 @ X2 @ X3) = X2)))))),
29.49/4.15	  inference(rectify,[],[f6])).
29.49/4.15	tff(f8,plain,(
29.49/4.15	  ~((ap2p = $true) => ((lam2p = $true) => ((funcext2 = $true) => ((beta2 = $true) => ! [X0,X1,X2] : ((in @ X2 @ (funcSet @ X0 @ X1) = $true) => lam @ X0 @ X1 @ (ap @ X0 @ X1 @ X2) = X2)))))),
29.49/4.15	  inference(fool_elimination,[],[f7])).
29.49/4.15	tff(f9,plain,(
29.49/4.15	  (beta2 = ! [X0,X1,X2 : '$i' -> '$i'] : (! [X3] : (in @ X3 @ X0 => in @ (X2 @ X3) @ X1) => ! [X4] : (in @ X4 @ X0 => ap @ X0 @ X1 @ (lam @ X0 @ X1 @ (^[X5 : '$i'] : X2 @ X5)) @ X4 = X2 @ X4)))),
29.49/4.15	  inference(rectify,[],[f4])).
29.49/4.16	tff(f10,plain,(
29.49/4.16	  (vPI('$i' -> '$i') @ (bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ (bCOMB @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in))))) @ (bCOMB @ cCOMB @ (bCOMB @ in))))))) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in))))) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ cCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ sCOMB)) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')))) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (cCOMB @ ap))) @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ lam)))))))) @ iCOMB)))))) = beta2)),
29.49/4.16	  inference(fool_elimination,[],[f9])).
29.49/4.16	tff(f11,plain,(
29.49/4.16	  (lam2p = ! [X0,X1,X2 : '$i' -> '$i'] : (! [X3] : (in @ X3 @ X0 => in @ (X2 @ X3) @ X1) => in @ (lam @ X0 @ X1 @ (^[X4 : '$i'] : X2 @ X4)) @ (funcSet @ X0 @ X1)))),
29.49/4.16	  inference(rectify,[],[f2])).
30.25/4.16	tff(f12,plain,(
30.25/4.16	  (vPI('$i' -> '$i') @ (bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ (bCOMB @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in))))) @ (bCOMB @ cCOMB @ (bCOMB @ in))))))) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ in)) @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ lam)))))) @ (cCOMB @ funcSet))))) = lam2p)),
30.25/4.16	  inference(fool_elimination,[],[f11])).
30.25/4.16	tff(f13,plain,(
30.25/4.16	  (ap2p = ! [X0,X1,X2] : (in @ X2 @ (funcSet @ X0 @ X1) => ! [X3] : (in @ X3 @ X0 => in @ (ap @ X0 @ X1 @ X2 @ X3) @ X1)))),
30.25/4.16	  inference(rectify,[],[f1])).
30.25/4.16	tff(f14,plain,(
30.25/4.16	  (ap2p = vPI('$i') @ (bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ in)) @ (cCOMB @ funcSet))))) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in))))) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ cCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ cCOMB)) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ in))) @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ ap))))))) @ iCOMB)))))))),
30.25/4.16	  inference(fool_elimination,[],[f13])).
30.25/4.16	tff(f15,plain,(
30.25/4.16	  (funcext2 = ! [X0,X1,X2] : (in @ X2 @ (funcSet @ X0 @ X1) => ! [X3] : (in @ X3 @ (funcSet @ X0 @ X1) => (! [X4] : (in @ X4 @ X0 => ap @ X0 @ X1 @ X2 @ X4 = ap @ X0 @ X1 @ X3 @ X4) => X2 = X3))))),
30.25/4.16	  inference(rectify,[],[f3])).
30.25/4.16	tff(f16,plain,(
30.25/4.16	  (vPI('$i') @ (bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ in)) @ (cCOMB @ funcSet))))) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (bCOMB @ (bCOMB @ (cCOMB @ in)) @ (cCOMB @ funcSet)))))) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ cCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ sCOMB)) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP))) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')))) @ (bCOMB @ (bCOMB @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in)))))) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ bCOMB)) @ (bCOMB @ (bCOMB @ (bCOMB @ sCOMB)) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')))) @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ ap)))))))) @ (cCOMB @ ap)))))))) @ vEQ('$i'))))))) = funcext2)),
30.25/4.16	  inference(fool_elimination,[],[f15])).
30.25/4.16	tff(f17,plain,(
30.25/4.16	  (((? [X0,X1,X2] : (lam @ X0 @ X1 @ (ap @ X0 @ X1 @ X2) != X2 & (in @ X2 @ (funcSet @ X0 @ X1) = $true)) & (beta2 = $true)) & (funcext2 = $true)) & (lam2p = $true)) & (ap2p = $true)),
30.25/4.16	  inference(ennf_transformation,[],[f8])).
30.25/4.16	tff(f18,plain,(
30.25/4.16	  ? [X0,X1,X2] : (lam @ X0 @ X1 @ (ap @ X0 @ X1 @ X2) != X2 & (in @ X2 @ (funcSet @ X0 @ X1) = $true)) & (beta2 = $true) & (funcext2 = $true) & (lam2p = $true) & (ap2p = $true)),
30.25/4.16	  inference(flattening,[],[f17])).
30.25/4.16	tff(f19,plain,(
30.25/4.16	  ? [X0,X1,X2] : (lam @ X0 @ X1 @ (ap @ X0 @ X1 @ X2) != X2 & (in @ X2 @ (funcSet @ X0 @ X1) = $true)) => (lam @ sK0 @ sK1 @ (ap @ sK0 @ sK1 @ sK2) != sK2 & (in @ sK2 @ (funcSet @ sK0 @ sK1) = $true))),
30.25/4.16	  introduced(choice_axiom,[])).
30.25/4.16	tff(f20,plain,(
30.25/4.16	  (lam @ sK0 @ sK1 @ (ap @ sK0 @ sK1 @ sK2) != sK2 & (in @ sK2 @ (funcSet @ sK0 @ sK1) = $true)) & (beta2 = $true) & (funcext2 = $true) & (lam2p = $true) & (ap2p = $true)),
30.25/4.16	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f18,f19])).
30.25/4.16	tff(f21,plain,(
30.25/4.16	  (ap2p = $true)),
30.25/4.16	  inference(cnf_transformation,[],[f20])).
30.25/4.16	tff(f22,plain,(
30.25/4.16	  (lam2p = $true)),
30.25/4.16	  inference(cnf_transformation,[],[f20])).
30.25/4.16	tff(f23,plain,(
30.25/4.16	  (funcext2 = $true)),
30.25/4.16	  inference(cnf_transformation,[],[f20])).
30.25/4.16	tff(f24,plain,(
30.25/4.16	  (beta2 = $true)),
30.25/4.16	  inference(cnf_transformation,[],[f20])).
30.25/4.16	tff(f25,plain,(
30.25/4.16	  (in @ sK2 @ (funcSet @ sK0 @ sK1) = $true)),
30.25/4.16	  inference(cnf_transformation,[],[f20])).
30.25/4.16	tff(f26,plain,(
30.25/4.16	  lam @ sK0 @ sK1 @ (ap @ sK0 @ sK1 @ sK2) != sK2),
30.25/4.16	  inference(cnf_transformation,[],[f20])).
30.25/4.16	tff(f27,plain,(
30.25/4.16	  (vPI('$i' -> '$i') @ (bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ (bCOMB @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in))))) @ (bCOMB @ cCOMB @ (bCOMB @ in))))))) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ in)) @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ lam)))))) @ (cCOMB @ funcSet))))) = lam2p)),
30.25/4.16	  inference(cnf_transformation,[],[f12])).
30.25/4.16	% (2636)Time limit reached!
30.25/4.16	% (2636)------------------------------
30.25/4.16	% (2636)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
30.25/4.16	% (2636)Termination reason: Time limit
30.25/4.16	
30.25/4.16	% (2636)Memory used [KB]: 31470
30.25/4.16	% (2636)Time elapsed: 3.266 s
30.25/4.16	% (2636)------------------------------
30.25/4.16	% (2636)------------------------------
30.25/4.16	tff(f28,plain,(
30.25/4.16	  (vPI('$i' -> '$i') @ (bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ (bCOMB @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in))))) @ (bCOMB @ cCOMB @ (bCOMB @ in))))))) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in))))) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ cCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ sCOMB)) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')))) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (cCOMB @ ap))) @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ lam)))))))) @ iCOMB)))))) = beta2)),
30.25/4.16	  inference(cnf_transformation,[],[f10])).
30.25/4.16	tff(f29,plain,(
30.25/4.16	  (vPI('$i') @ (bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ in)) @ (cCOMB @ funcSet))))) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (bCOMB @ (bCOMB @ (cCOMB @ in)) @ (cCOMB @ funcSet)))))) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ cCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ sCOMB)) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP))) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')))) @ (bCOMB @ (bCOMB @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in)))))) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ bCOMB)) @ (bCOMB @ (bCOMB @ (bCOMB @ sCOMB)) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')))) @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ ap)))))))) @ (cCOMB @ ap)))))))) @ vEQ('$i'))))))) = funcext2)),
30.25/4.16	  inference(cnf_transformation,[],[f16])).
30.25/4.17	tff(f30,plain,(
30.25/4.17	  (ap2p = vPI('$i') @ (bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ in)) @ (cCOMB @ funcSet))))) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in))))) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ cCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ cCOMB)) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ in))) @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ ap))))))) @ iCOMB)))))))),
30.25/4.17	  inference(cnf_transformation,[],[f14])).
30.25/4.17	tff(f31,plain,(
30.25/4.17	  (vPI('$i' -> '$i') @ (bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ (bCOMB @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in))))) @ (bCOMB @ cCOMB @ (bCOMB @ in))))))) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ in)) @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ lam)))))) @ (cCOMB @ funcSet))))) = $true)),
30.25/4.17	  inference(definition_unfolding,[],[f27,f22])).
30.25/4.17	tff(f32,plain,(
30.25/4.17	  (vPI('$i' -> '$i') @ (bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ (bCOMB @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in))))) @ (bCOMB @ cCOMB @ (bCOMB @ in))))))) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in))))) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ cCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ sCOMB)) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')))) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (cCOMB @ ap))) @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ lam)))))))) @ iCOMB)))))) = $true)),
30.25/4.17	  inference(definition_unfolding,[],[f28,f24])).
30.25/4.17	tff(f33,plain,(
30.25/4.17	  (vPI('$i') @ (bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ in)) @ (cCOMB @ funcSet))))) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (bCOMB @ (bCOMB @ (cCOMB @ in)) @ (cCOMB @ funcSet)))))) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ cCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ sCOMB)) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP))) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')))) @ (bCOMB @ (bCOMB @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in)))))) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ bCOMB)) @ (bCOMB @ (bCOMB @ (bCOMB @ sCOMB)) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')))) @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ ap)))))))) @ (cCOMB @ ap)))))))) @ vEQ('$i'))))))) = $true)),
30.25/4.17	  inference(definition_unfolding,[],[f29,f23])).
30.25/4.17	tff(f34,plain,(
30.25/4.17	  (vPI('$i') @ (bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ in)) @ (cCOMB @ funcSet))))) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in))))) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ cCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ cCOMB)) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ in))) @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ ap))))))) @ iCOMB)))))) = $true)),
30.25/4.17	  inference(definition_unfolding,[],[f30,f21])).
30.25/4.17	tff(f35,plain,(
30.25/4.17	  ( ! [X1] : ((bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ in)) @ (cCOMB @ funcSet))))) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in))))) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ cCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ cCOMB)) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ in))) @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ ap))))))) @ iCOMB))))) @ X1 = $true)) )),
30.25/4.17	  inference(pi_clausification,[],[f34])).
30.25/4.17	tff(f36,plain,(
30.25/4.17	  ( ! [X1] : ((vPI('$i') @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (bCOMB @ (in @ X1)) @ (cCOMB @ funcSet)))) @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in)))) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ cCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ in)) @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ ap)) @ X1)))) @ iCOMB))))) = $true)) )),
30.25/4.17	  inference(combinator_demodulation,[],[f35])).
30.25/4.17	tff(f37,plain,(
30.25/4.17	  ( ! [X2,X1] : ((bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (bCOMB @ (in @ X1)) @ (cCOMB @ funcSet)))) @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in)))) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ cCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ in)) @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ ap)) @ X1)))) @ iCOMB)))) @ X2 = $true)) )),
30.25/4.17	  inference(pi_clausification,[],[f36])).
30.25/4.17	tff(f38,plain,(
30.25/4.17	  ( ! [X2,X1] : ((vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ (in @ X1) @ (cCOMB @ funcSet @ X2))) @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in))) @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ (cCOMB @ (cCOMB @ ap @ X2) @ X1))) @ X2)))) = $true)) )),
30.25/4.17	  inference(combinator_demodulation,[],[f37])).
30.25/4.17	tff(f39,plain,(
30.25/4.17	  ( ! [X2,X3,X1] : ((sCOMB @ (bCOMB @ vIMP @ (bCOMB @ (in @ X1) @ (cCOMB @ funcSet @ X2))) @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in))) @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ in) @ (cCOMB @ (cCOMB @ ap @ X2) @ X1))) @ X2))) @ X3 = $true)) )),
30.25/4.17	  inference(pi_clausification,[],[f38])).
30.25/4.17	tff(f40,plain,(
30.25/4.17	  ( ! [X2,X3,X1] : ((vIMP @ (in @ X1 @ (funcSet @ X3 @ X2)) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X3)) @ (cCOMB @ (bCOMB @ in @ (ap @ X3 @ X2 @ X1)) @ X2))) = $true)) )),
30.25/4.17	  inference(combinator_demodulation,[],[f39])).
30.25/4.17	tff(f41,plain,(
30.25/4.17	  ( ! [X2,X3,X1] : ((in @ X1 @ (funcSet @ X3 @ X2) = $false) | (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X3)) @ (cCOMB @ (bCOMB @ in @ (ap @ X3 @ X2 @ X1)) @ X2)) = $true)) )),
30.25/4.17	  inference(binary_proxy_clausification,[],[f40])).
30.25/4.17	tff(f42,plain,(
30.25/4.17	  ( ! [X4,X2,X3,X1] : ((in @ X1 @ (funcSet @ X3 @ X2) = $false) | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X3)) @ (cCOMB @ (bCOMB @ in @ (ap @ X3 @ X2 @ X1)) @ X2) @ X4 = $true)) )),
30.25/4.17	  inference(pi_clausification,[],[f41])).
30.25/4.17	tff(f43,plain,(
30.25/4.17	  ( ! [X4,X2,X3,X1] : ((in @ X1 @ (funcSet @ X3 @ X2) = $false) | (vIMP @ (in @ X4 @ X3) @ (in @ (ap @ X3 @ X2 @ X1 @ X4) @ X2) = $true)) )),
30.25/4.17	  inference(combinator_demodulation,[],[f42])).
30.25/4.17	tff(f44,plain,(
30.25/4.17	  ( ! [X4,X2,X3,X1] : ((in @ (ap @ X3 @ X2 @ X1 @ X4) @ X2 = $true) | (in @ X4 @ X3 = $false) | (in @ X1 @ (funcSet @ X3 @ X2) = $false)) )),
30.25/4.17	  inference(binary_proxy_clausification,[],[f43])).
30.25/4.17	tff(f45,plain,(
30.25/4.17	  ( ! [X1] : ((bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ in)) @ (cCOMB @ funcSet))))) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (bCOMB @ (bCOMB @ (cCOMB @ in)) @ (cCOMB @ funcSet)))))) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ cCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ sCOMB)) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP))) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')))) @ (bCOMB @ (bCOMB @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in)))))) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ bCOMB)) @ (bCOMB @ (bCOMB @ (bCOMB @ sCOMB)) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')))) @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ ap)))))))) @ (cCOMB @ ap)))))))) @ vEQ('$i')))))) @ X1 = $true)) )),
30.25/4.17	  inference(pi_clausification,[],[f33])).
30.25/4.17	tff(f46,plain,(
30.25/4.17	  ( ! [X1] : ((vPI('$i') @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (bCOMB @ (in @ X1)) @ (cCOMB @ funcSet)))) @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (bCOMB @ (bCOMB @ (cCOMB @ in)) @ (cCOMB @ funcSet))))) @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in))))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vEQ('$i'))) @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ ap)) @ X1))))) @ (cCOMB @ ap))))))) @ (vEQ('$i') @ X1)))))) = $true)) )),
30.25/4.17	  inference(combinator_demodulation,[],[f45])).
30.25/4.18	tff(f47,plain,(
30.25/4.18	  ( ! [X2,X1] : ((bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (bCOMB @ (in @ X1)) @ (cCOMB @ funcSet)))) @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (bCOMB @ (bCOMB @ (cCOMB @ in)) @ (cCOMB @ funcSet))))) @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in))))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ bCOMB) @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vEQ('$i'))) @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ ap)) @ X1))))) @ (cCOMB @ ap))))))) @ (vEQ('$i') @ X1))))) @ X2 = $true)) )),
30.25/4.18	  inference(pi_clausification,[],[f46])).
30.25/4.18	tff(f48,plain,(
30.25/4.18	  ( ! [X2,X1] : ((vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ (in @ X1) @ (cCOMB @ funcSet @ X2))) @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (cCOMB @ in) @ (cCOMB @ funcSet @ X2)))) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in)))) @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ (cCOMB @ (cCOMB @ ap @ X2) @ X1)))) @ (cCOMB @ ap @ X2)))))) @ (vEQ('$i') @ X1))))) = $true)) )),
30.25/4.18	  inference(combinator_demodulation,[],[f47])).
30.25/4.18	tff(f49,plain,(
30.25/4.18	  ( ! [X2,X3,X1] : ((sCOMB @ (bCOMB @ vIMP @ (bCOMB @ (in @ X1) @ (cCOMB @ funcSet @ X2))) @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (cCOMB @ in) @ (cCOMB @ funcSet @ X2)))) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in)))) @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ (cCOMB @ (cCOMB @ ap @ X2) @ X1)))) @ (cCOMB @ ap @ X2)))))) @ (vEQ('$i') @ X1)))) @ X3 = $true)) )),
30.25/4.18	  inference(pi_clausification,[],[f48])).
30.25/4.18	tff(f50,plain,(
30.25/4.18	  ( ! [X2,X3,X1] : ((vIMP @ (in @ X1 @ (funcSet @ X3 @ X2)) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ (funcSet @ X3 @ X2))) @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X3))) @ (bCOMB @ (sCOMB @ (bCOMB @ vEQ('$i') @ (ap @ X3 @ X2 @ X1))) @ (ap @ X3 @ X2))))) @ (vEQ('$i') @ X1)))) = $true)) )),
30.25/4.18	  inference(combinator_demodulation,[],[f49])).
30.25/4.18	tff(f51,plain,(
30.25/4.18	  ( ! [X2,X3,X1] : ((in @ X1 @ (funcSet @ X3 @ X2) = $false) | (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ (funcSet @ X3 @ X2))) @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X3))) @ (bCOMB @ (sCOMB @ (bCOMB @ vEQ('$i') @ (ap @ X3 @ X2 @ X1))) @ (ap @ X3 @ X2))))) @ (vEQ('$i') @ X1))) = $true)) )),
30.25/4.18	  inference(binary_proxy_clausification,[],[f50])).
30.25/4.18	tff(f52,plain,(
30.25/4.18	  ( ! [X4,X2,X3,X1] : ((in @ X1 @ (funcSet @ X3 @ X2) = $false) | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ (funcSet @ X3 @ X2))) @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X3))) @ (bCOMB @ (sCOMB @ (bCOMB @ vEQ('$i') @ (ap @ X3 @ X2 @ X1))) @ (ap @ X3 @ X2))))) @ (vEQ('$i') @ X1)) @ X4 = $true)) )),
30.25/4.18	  inference(pi_clausification,[],[f51])).
30.25/4.18	tff(f53,plain,(
30.25/4.18	  ( ! [X4,X2,X3,X1] : ((in @ X1 @ (funcSet @ X3 @ X2) = $false) | (vIMP @ (in @ X4 @ (funcSet @ X3 @ X2)) @ (vIMP @ (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X3)) @ (sCOMB @ (bCOMB @ vEQ('$i') @ (ap @ X3 @ X2 @ X1)) @ (ap @ X3 @ X2 @ X4)))) @ (vEQ('$i') @ X1 @ X4)) = $true)) )),
30.25/4.18	  inference(combinator_demodulation,[],[f52])).
30.25/4.18	tff(f54,plain,(
30.25/4.18	  ( ! [X4,X2,X3,X1] : ((in @ X1 @ (funcSet @ X3 @ X2) = $false) | (in @ X4 @ (funcSet @ X3 @ X2) = $false) | (vIMP @ (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X3)) @ (sCOMB @ (bCOMB @ vEQ('$i') @ (ap @ X3 @ X2 @ X1)) @ (ap @ X3 @ X2 @ X4)))) @ (vEQ('$i') @ X1 @ X4) = $true)) )),
30.25/4.18	  inference(binary_proxy_clausification,[],[f53])).
30.25/4.18	tff(f55,plain,(
30.25/4.18	  ( ! [X4,X2,X3,X1] : ((in @ X1 @ (funcSet @ X3 @ X2) = $false) | (in @ X4 @ (funcSet @ X3 @ X2) = $false) | (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X3)) @ (sCOMB @ (bCOMB @ vEQ('$i') @ (ap @ X3 @ X2 @ X1)) @ (ap @ X3 @ X2 @ X4))) = $false) | (vEQ('$i') @ X1 @ X4 = $true)) )),
30.25/4.18	  inference(binary_proxy_clausification,[],[f54])).
30.25/4.18	tff(f56,plain,(
30.25/4.18	  ( ! [X4,X2,X3,X1] : ((in @ X1 @ (funcSet @ X3 @ X2) = $false) | (in @ X4 @ (funcSet @ X3 @ X2) = $false) | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X3)) @ (sCOMB @ (bCOMB @ vEQ('$i') @ (ap @ X3 @ X2 @ X1)) @ (ap @ X3 @ X2 @ X4)) @ (sK4 @ X4 @ X3 @ X2 @ X1) = $false) | (vEQ('$i') @ X1 @ X4 = $true)) )),
30.25/4.18	  inference(sigma_clausification,[],[f55])).
30.25/4.18	tff(f57,plain,(
30.25/4.18	  ( ! [X4,X2,X3,X1] : ((in @ X1 @ (funcSet @ X3 @ X2) = $false) | (in @ X4 @ (funcSet @ X3 @ X2) = $false) | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X3)) @ (sCOMB @ (bCOMB @ vEQ('$i') @ (ap @ X3 @ X2 @ X1)) @ (ap @ X3 @ X2 @ X4)) @ (sK4 @ X4 @ X3 @ X2 @ X1) = $false) | X1 = X4) )),
30.25/4.18	  inference(equality_proxy_clausification,[],[f56])).
30.25/4.18	tff(f58,plain,(
30.25/4.18	  ( ! [X4,X2,X3,X1] : ((in @ X1 @ (funcSet @ X3 @ X2) = $false) | (in @ X4 @ (funcSet @ X3 @ X2) = $false) | (vIMP @ (in @ (sK4 @ X4 @ X3 @ X2 @ X1) @ X3) @ (vEQ('$i') @ (ap @ X3 @ X2 @ X1 @ (sK4 @ X4 @ X3 @ X2 @ X1)) @ (ap @ X3 @ X2 @ X4 @ (sK4 @ X4 @ X3 @ X2 @ X1))) = $false) | X1 = X4) )),
30.25/4.18	  inference(combinator_demodulation,[],[f57])).
30.25/4.18	tff(f59,plain,(
30.25/4.18	  ( ! [X4,X2,X3,X1] : ((in @ (sK4 @ X4 @ X3 @ X2 @ X1) @ X3 = $true) | (in @ X4 @ (funcSet @ X3 @ X2) = $false) | (in @ X1 @ (funcSet @ X3 @ X2) = $false) | X1 = X4) )),
30.25/4.18	  inference(binary_proxy_clausification,[],[f58])).
30.25/4.18	tff(f60,plain,(
30.25/4.18	  ( ! [X4,X2,X3,X1] : ((in @ X1 @ (funcSet @ X3 @ X2) = $false) | (in @ X4 @ (funcSet @ X3 @ X2) = $false) | (vEQ('$i') @ (ap @ X3 @ X2 @ X1 @ (sK4 @ X4 @ X3 @ X2 @ X1)) @ (ap @ X3 @ X2 @ X4 @ (sK4 @ X4 @ X3 @ X2 @ X1)) = $false) | X1 = X4) )),
30.25/4.18	  inference(binary_proxy_clausification,[],[f58])).
30.25/4.18	tff(f61,plain,(
30.25/4.18	  ( ! [X4,X2,X3,X1] : (ap @ X3 @ X2 @ X1 @ (sK4 @ X4 @ X3 @ X2 @ X1) != ap @ X3 @ X2 @ X4 @ (sK4 @ X4 @ X3 @ X2 @ X1) | (in @ X4 @ (funcSet @ X3 @ X2) = $false) | (in @ X1 @ (funcSet @ X3 @ X2) = $false) | X1 = X4) )),
30.25/4.18	  inference(equality_proxy_clausification,[],[f60])).
30.25/4.18	tff(f62,plain,(
30.25/4.18	  ( ! [X1:'$i' -> '$i'] : ((bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ (bCOMB @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in))))) @ (bCOMB @ cCOMB @ (bCOMB @ in))))))) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in))))) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ cCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ sCOMB)) @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')))) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (cCOMB @ ap))) @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ lam)))))))) @ iCOMB))))) @ X1 = $true)) )),
30.25/4.18	  inference(pi_clausification,[],[f32])).
30.25/4.18	tff(f63,plain,(
30.25/4.18	  ( ! [X1:'$i' -> '$i'] : ((vPI('$i') @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in)))) @ (cCOMB @ (bCOMB @ in @ X1)))))) @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in)))) @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vEQ('$i'))) @ (sCOMB @ (bCOMB @ sCOMB @ (cCOMB @ ap)) @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ lam)) @ X1))))) @ X1))))) = $true)) )),
30.25/4.18	  inference(combinator_demodulation,[],[f62])).
30.25/4.18	tff(f64,plain,(
30.25/4.18	  ( ! [X2,X1:'$i' -> '$i'] : ((bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in)))) @ (cCOMB @ (bCOMB @ in @ X1)))))) @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in)))) @ (cCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vEQ('$i'))) @ (sCOMB @ (bCOMB @ sCOMB @ (cCOMB @ ap)) @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ lam)) @ X1))))) @ X1)))) @ X2 = $true)) )),
30.25/4.18	  inference(pi_clausification,[],[f63])).
30.25/4.18	tff(f65,plain,(
30.25/4.18	  ( ! [X2,X1:'$i' -> '$i'] : ((vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in))) @ (cCOMB @ (bCOMB @ in @ X1) @ X2)))) @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in))) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ (sCOMB @ (cCOMB @ ap @ X2) @ (cCOMB @ (cCOMB @ lam @ X2) @ X1)))) @ X1)))) = $true)) )),
30.25/4.18	  inference(combinator_demodulation,[],[f64])).
30.25/4.18	tff(f66,plain,(
30.25/4.18	  ( ! [X2,X3,X1:'$i' -> '$i'] : ((sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in))) @ (cCOMB @ (bCOMB @ in @ X1) @ X2)))) @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in))) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ (sCOMB @ (cCOMB @ ap @ X2) @ (cCOMB @ (cCOMB @ lam @ X2) @ X1)))) @ X1))) @ X3 = $true)) )),
30.25/4.18	  inference(pi_clausification,[],[f65])).
30.25/4.18	tff(f67,plain,(
30.25/4.18	  ( ! [X2,X3,X1:'$i' -> '$i'] : ((vIMP @ (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X3)) @ (cCOMB @ (bCOMB @ in @ X1) @ X2))) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X3)) @ (sCOMB @ (bCOMB @ vEQ('$i') @ (ap @ X3 @ X2 @ (lam @ X3 @ X2 @ X1))) @ X1))) = $true)) )),
30.25/4.18	  inference(combinator_demodulation,[],[f66])).
30.25/4.18	tff(f68,plain,(
30.25/4.18	  ( ! [X2,X3,X1:'$i' -> '$i'] : ((vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X3)) @ (cCOMB @ (bCOMB @ in @ X1) @ X2)) = $false) | (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X3)) @ (sCOMB @ (bCOMB @ vEQ('$i') @ (ap @ X3 @ X2 @ (lam @ X3 @ X2 @ X1))) @ X1)) = $true)) )),
30.25/4.18	  inference(binary_proxy_clausification,[],[f67])).
30.25/4.18	tff(f69,plain,(
30.25/4.18	  ( ! [X4,X2,X3,X1:'$i' -> '$i'] : ((vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X3)) @ (cCOMB @ (bCOMB @ in @ X1) @ X2)) = $false) | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X3)) @ (sCOMB @ (bCOMB @ vEQ('$i') @ (ap @ X3 @ X2 @ (lam @ X3 @ X2 @ X1))) @ X1) @ X4 = $true)) )),
30.25/4.18	  inference(pi_clausification,[],[f68])).
30.25/4.18	tff(f70,plain,(
30.25/4.18	  ( ! [X4,X2,X3,X1:'$i' -> '$i'] : ((sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X3)) @ (cCOMB @ (bCOMB @ in @ X1) @ X2) @ (sK5 @ X3 @ X2 @ X1) = $false) | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X3)) @ (sCOMB @ (bCOMB @ vEQ('$i') @ (ap @ X3 @ X2 @ (lam @ X3 @ X2 @ X1))) @ X1) @ X4 = $true)) )),
30.25/4.18	  inference(sigma_clausification,[],[f69])).
30.25/4.18	tff(f71,plain,(
30.25/4.18	  ( ! [X4,X2,X3,X1:'$i' -> '$i'] : ((vIMP @ (in @ (sK5 @ X3 @ X2 @ X1) @ X3) @ (in @ (X1 @ (sK5 @ X3 @ X2 @ X1)) @ X2) = $false) | (vIMP @ (in @ X4 @ X3) @ (vEQ('$i') @ (ap @ X3 @ X2 @ (lam @ X3 @ X2 @ X1) @ X4) @ (X1 @ X4)) = $true)) )),
30.25/4.18	  inference(combinator_demodulation,[],[f70])).
30.25/4.18	tff(f72,plain,(
30.25/4.18	  ( ! [X4,X2,X3,X1:'$i' -> '$i'] : ((vIMP @ (in @ (sK5 @ X3 @ X2 @ X1) @ X3) @ (in @ (X1 @ (sK5 @ X3 @ X2 @ X1)) @ X2) = $false) | (in @ X4 @ X3 = $false) | (vEQ('$i') @ (ap @ X3 @ X2 @ (lam @ X3 @ X2 @ X1) @ X4) @ (X1 @ X4) = $true)) )),
30.25/4.18	  inference(binary_proxy_clausification,[],[f71])).
30.25/4.18	tff(f73,plain,(
30.25/4.18	  ( ! [X4,X2,X3,X1:'$i' -> '$i'] : ((vIMP @ (in @ (sK5 @ X3 @ X2 @ X1) @ X3) @ (in @ (X1 @ (sK5 @ X3 @ X2 @ X1)) @ X2) = $false) | (in @ X4 @ X3 = $false) | X1 @ X4 = ap @ X3 @ X2 @ (lam @ X3 @ X2 @ X1) @ X4) )),
30.25/4.18	  inference(equality_proxy_clausification,[],[f72])).
30.25/4.18	tff(f74,plain,(
30.25/4.18	  ( ! [X4,X2,X3,X1:'$i' -> '$i'] : ((in @ (sK5 @ X3 @ X2 @ X1) @ X3 = $true) | (in @ X4 @ X3 = $false) | X1 @ X4 = ap @ X3 @ X2 @ (lam @ X3 @ X2 @ X1) @ X4) )),
30.25/4.18	  inference(binary_proxy_clausification,[],[f73])).
30.25/4.18	tff(f75,plain,(
30.25/4.18	  ( ! [X4,X2,X3,X1:'$i' -> '$i'] : ((in @ (X1 @ (sK5 @ X3 @ X2 @ X1)) @ X2 = $false) | (in @ X4 @ X3 = $false) | X1 @ X4 = ap @ X3 @ X2 @ (lam @ X3 @ X2 @ X1) @ X4) )),
30.25/4.18	  inference(binary_proxy_clausification,[],[f73])).
30.25/4.18	tff(f76,plain,(
30.25/4.18	  ( ! [X1:'$i' -> '$i'] : ((bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ (bCOMB @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in))))) @ (bCOMB @ cCOMB @ (bCOMB @ in))))))) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ in)) @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ lam)))))) @ (cCOMB @ funcSet)))) @ X1 = $true)) )),
30.25/4.18	  inference(pi_clausification,[],[f31])).
30.25/4.18	tff(f77,plain,(
30.25/4.18	  ( ! [X1:'$i' -> '$i'] : ((vPI('$i') @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in)))) @ (cCOMB @ (bCOMB @ in @ X1)))))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ in) @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ lam)) @ X1))) @ (cCOMB @ funcSet)))) = $true)) )),
30.25/4.18	  inference(combinator_demodulation,[],[f76])).
30.25/4.18	tff(f78,plain,(
30.25/4.18	  ( ! [X2,X1:'$i' -> '$i'] : ((bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in)))) @ (cCOMB @ (bCOMB @ in @ X1)))))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ in) @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ lam)) @ X1))) @ (cCOMB @ funcSet))) @ X2 = $true)) )),
30.25/4.18	  inference(pi_clausification,[],[f77])).
30.25/4.18	tff(f79,plain,(
30.25/4.18	  ( ! [X2,X1:'$i' -> '$i'] : ((vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in))) @ (cCOMB @ (bCOMB @ in @ X1) @ X2)))) @ (sCOMB @ (bCOMB @ in @ (cCOMB @ (cCOMB @ lam @ X2) @ X1)) @ (cCOMB @ funcSet @ X2))) = $true)) )),
30.25/4.18	  inference(combinator_demodulation,[],[f78])).
30.25/4.18	tff(f80,plain,(
30.25/4.18	  ( ! [X2,X3,X1:'$i' -> '$i'] : ((sCOMB @ (bCOMB @ vIMP @ (bCOMB @ vPI('$i') @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ in))) @ (cCOMB @ (bCOMB @ in @ X1) @ X2)))) @ (sCOMB @ (bCOMB @ in @ (cCOMB @ (cCOMB @ lam @ X2) @ X1)) @ (cCOMB @ funcSet @ X2)) @ X3 = $true)) )),
30.25/4.18	  inference(pi_clausification,[],[f79])).
30.25/4.19	tff(f81,plain,(
30.25/4.19	  ( ! [X2,X3,X1:'$i' -> '$i'] : ((vIMP @ (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X3)) @ (cCOMB @ (bCOMB @ in @ X1) @ X2))) @ (in @ (lam @ X3 @ X2 @ X1) @ (funcSet @ X3 @ X2)) = $true)) )),
30.25/4.19	  inference(combinator_demodulation,[],[f80])).
30.25/4.19	tff(f82,plain,(
30.25/4.19	  ( ! [X2,X3,X1:'$i' -> '$i'] : ((vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X3)) @ (cCOMB @ (bCOMB @ in @ X1) @ X2)) = $false) | (in @ (lam @ X3 @ X2 @ X1) @ (funcSet @ X3 @ X2) = $true)) )),
30.25/4.19	  inference(binary_proxy_clausification,[],[f81])).
30.25/4.19	tff(f83,plain,(
30.25/4.19	  ( ! [X2,X3,X1:'$i' -> '$i'] : ((sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ X3)) @ (cCOMB @ (bCOMB @ in @ X1) @ X2) @ (sK6 @ X3 @ X2 @ X1) = $false) | (in @ (lam @ X3 @ X2 @ X1) @ (funcSet @ X3 @ X2) = $true)) )),
30.25/4.19	  inference(sigma_clausification,[],[f82])).
30.25/4.19	tff(f84,plain,(
30.25/4.19	  ( ! [X2,X3,X1:'$i' -> '$i'] : ((vIMP @ (in @ (sK6 @ X3 @ X2 @ X1) @ X3) @ (in @ (X1 @ (sK6 @ X3 @ X2 @ X1)) @ X2) = $false) | (in @ (lam @ X3 @ X2 @ X1) @ (funcSet @ X3 @ X2) = $true)) )),
30.25/4.19	  inference(combinator_demodulation,[],[f83])).
30.25/4.19	tff(f85,plain,(
30.25/4.19	  ( ! [X2,X3,X1:'$i' -> '$i'] : ((in @ (sK6 @ X3 @ X2 @ X1) @ X3 = $true) | (in @ (lam @ X3 @ X2 @ X1) @ (funcSet @ X3 @ X2) = $true)) )),
30.25/4.19	  inference(binary_proxy_clausification,[],[f84])).
30.25/4.19	tff(f86,plain,(
30.25/4.19	  ( ! [X2,X3,X1:'$i' -> '$i'] : ((in @ (lam @ X3 @ X2 @ X1) @ (funcSet @ X3 @ X2) = $true) | (in @ (X1 @ (sK6 @ X3 @ X2 @ X1)) @ X2 = $false)) )),
30.25/4.19	  inference(binary_proxy_clausification,[],[f84])).
30.25/4.19	tff(f104,plain,(
30.25/4.19	  ( ! [X4,X2,X0,X3,X1] : (($false = $true) | (in @ X4 @ X3 = $false) | ap @ X0 @ X1 @ X2 @ X4 = ap @ X3 @ X1 @ (lam @ X3 @ X1 @ (ap @ X0 @ X1 @ X2)) @ X4 | (in @ (sK5 @ X3 @ X1 @ (ap @ X0 @ X1 @ X2)) @ X0 = $false) | (in @ X2 @ (funcSet @ X0 @ X1) = $false)) )),
30.25/4.19	  inference(superposition,[],[f75,f44])).
30.25/4.19	tff(f113,plain,(
30.25/4.19	  ( ! [X4,X2,X0,X3,X1] : ((in @ (sK5 @ X3 @ X1 @ (ap @ X0 @ X1 @ X2)) @ X0 = $false) | ap @ X0 @ X1 @ X2 @ X4 = ap @ X3 @ X1 @ (lam @ X3 @ X1 @ (ap @ X0 @ X1 @ X2)) @ X4 | (in @ X4 @ X3 = $false) | (in @ X2 @ (funcSet @ X0 @ X1) = $false)) )),
30.25/4.19	  inference(trivial_inequality_removal,[],[f104])).
30.25/4.19	tff(f130,plain,(
30.25/4.19	  ( ! [X4,X2,X0,X3,X1] : (($false = $true) | ap @ X0 @ X1 @ X2 @ X3 = ap @ X0 @ X1 @ (lam @ X0 @ X1 @ (ap @ X0 @ X1 @ X2)) @ X3 | (in @ X3 @ X0 = $false) | (in @ X2 @ (funcSet @ X0 @ X1) = $false) | (in @ X4 @ X0 = $false) | ap @ X0 @ X1 @ X2 @ X4 = ap @ X0 @ X1 @ (lam @ X0 @ X1 @ (ap @ X0 @ X1 @ X2)) @ X4) )),
30.25/4.19	  inference(superposition,[],[f113,f74])).
30.25/4.19	tff(f135,plain,(
30.25/4.19	  ( ! [X4,X2,X0,X3,X1] : (ap @ X0 @ X1 @ X2 @ X3 = ap @ X0 @ X1 @ (lam @ X0 @ X1 @ (ap @ X0 @ X1 @ X2)) @ X3 | (in @ X3 @ X0 = $false) | (in @ X2 @ (funcSet @ X0 @ X1) = $false) | (in @ X4 @ X0 = $false) | ap @ X0 @ X1 @ X2 @ X4 = ap @ X0 @ X1 @ (lam @ X0 @ X1 @ (ap @ X0 @ X1 @ X2)) @ X4) )),
30.25/4.19	  inference(trivial_inequality_removal,[],[f130])).
30.25/4.19	tff(f142,plain,(
30.25/4.19	  ( ! [X2,X0,X3,X1] : (ap @ X0 @ X1 @ X2 @ X3 != ap @ X0 @ X1 @ X2 @ X3 | (in @ X3 @ X0 = $false) | (in @ X2 @ (funcSet @ X0 @ X1) = $false) | (in @ X3 @ X0 = $false) | ap @ X0 @ X1 @ X2 @ X3 = ap @ X0 @ X1 @ (lam @ X0 @ X1 @ (ap @ X0 @ X1 @ X2)) @ X3) )),
30.25/4.19	  inference(equality_factoring,[],[f135])).
30.25/4.19	tff(f143,plain,(
30.25/4.19	  ( ! [X2,X0,X3,X1] : (ap @ X0 @ X1 @ X2 @ X3 != ap @ X0 @ X1 @ X2 @ X3 | (in @ X3 @ X0 = $false) | (in @ X2 @ (funcSet @ X0 @ X1) = $false) | ap @ X0 @ X1 @ X2 @ X3 = ap @ X0 @ X1 @ (lam @ X0 @ X1 @ (ap @ X0 @ X1 @ X2)) @ X3) )),
30.25/4.19	  inference(duplicate_literal_removal,[],[f142])).
30.25/4.19	tff(f144,plain,(
30.25/4.19	  ( ! [X2,X0,X3,X1] : (ap @ X0 @ X1 @ X2 @ X3 = ap @ X0 @ X1 @ (lam @ X0 @ X1 @ (ap @ X0 @ X1 @ X2)) @ X3 | (in @ X2 @ (funcSet @ X0 @ X1) = $false) | (in @ X3 @ X0 = $false)) )),
30.25/4.19	  inference(trivial_inequality_removal,[],[f143])).
30.25/4.19	tff(f147,plain,(
30.25/4.19	  ( ! [X12,X10,X13,X11] : ((in @ (sK4 @ X13 @ X10 @ X11 @ (lam @ X10 @ X11 @ (ap @ X10 @ X11 @ X12))) @ X10 = $false) | (in @ X13 @ (funcSet @ X10 @ X11) = $false) | (in @ (lam @ X10 @ X11 @ (ap @ X10 @ X11 @ X12)) @ (funcSet @ X10 @ X11) = $false) | lam @ X10 @ X11 @ (ap @ X10 @ X11 @ X12) = X13 | (in @ X12 @ (funcSet @ X10 @ X11) = $false) | ap @ X10 @ X11 @ X12 @ (sK4 @ X13 @ X10 @ X11 @ (lam @ X10 @ X11 @ (ap @ X10 @ X11 @ X12))) != ap @ X10 @ X11 @ X13 @ (sK4 @ X13 @ X10 @ X11 @ (lam @ X10 @ X11 @ (ap @ X10 @ X11 @ X12)))) )),
30.25/4.19	  inference(superposition,[],[f61,f144])).
30.25/4.19	tff(f175,plain,(
30.25/4.19	  ( ! [X6,X4,X7,X5] : (($false = $true) | (in @ X4 @ (funcSet @ X5 @ X6) = $false) | (in @ (lam @ X5 @ X6 @ (ap @ X5 @ X6 @ X7)) @ (funcSet @ X5 @ X6) = $false) | lam @ X5 @ X6 @ (ap @ X5 @ X6 @ X7) = X4 | (in @ X7 @ (funcSet @ X5 @ X6) = $false) | ap @ X5 @ X6 @ X4 @ (sK4 @ X4 @ X5 @ X6 @ (lam @ X5 @ X6 @ (ap @ X5 @ X6 @ X7))) != ap @ X5 @ X6 @ X7 @ (sK4 @ X4 @ X5 @ X6 @ (lam @ X5 @ X6 @ (ap @ X5 @ X6 @ X7))) | (in @ X4 @ (funcSet @ X5 @ X6) = $false) | (in @ (lam @ X5 @ X6 @ (ap @ X5 @ X6 @ X7)) @ (funcSet @ X5 @ X6) = $false) | lam @ X5 @ X6 @ (ap @ X5 @ X6 @ X7) = X4) )),
30.25/4.19	  inference(superposition,[],[f147,f59])).
30.25/4.19	tff(f179,plain,(
30.25/4.19	  ( ! [X6,X4,X7,X5] : (($false = $true) | (in @ X4 @ (funcSet @ X5 @ X6) = $false) | (in @ (lam @ X5 @ X6 @ (ap @ X5 @ X6 @ X7)) @ (funcSet @ X5 @ X6) = $false) | lam @ X5 @ X6 @ (ap @ X5 @ X6 @ X7) = X4 | (in @ X7 @ (funcSet @ X5 @ X6) = $false) | ap @ X5 @ X6 @ X4 @ (sK4 @ X4 @ X5 @ X6 @ (lam @ X5 @ X6 @ (ap @ X5 @ X6 @ X7))) != ap @ X5 @ X6 @ X7 @ (sK4 @ X4 @ X5 @ X6 @ (lam @ X5 @ X6 @ (ap @ X5 @ X6 @ X7)))) )),
30.25/4.19	  inference(duplicate_literal_removal,[],[f175])).
30.25/4.19	tff(f180,plain,(
30.25/4.19	  ( ! [X6,X4,X7,X5] : ((in @ (lam @ X5 @ X6 @ (ap @ X5 @ X6 @ X7)) @ (funcSet @ X5 @ X6) = $false) | (in @ X4 @ (funcSet @ X5 @ X6) = $false) | lam @ X5 @ X6 @ (ap @ X5 @ X6 @ X7) = X4 | (in @ X7 @ (funcSet @ X5 @ X6) = $false) | ap @ X5 @ X6 @ X4 @ (sK4 @ X4 @ X5 @ X6 @ (lam @ X5 @ X6 @ (ap @ X5 @ X6 @ X7))) != ap @ X5 @ X6 @ X7 @ (sK4 @ X4 @ X5 @ X6 @ (lam @ X5 @ X6 @ (ap @ X5 @ X6 @ X7)))) )),
30.25/4.19	  inference(trivial_inequality_removal,[],[f179])).
30.25/4.19	tff(f181,plain,(
30.25/4.19	  ( ! [X2,X0,X3,X1] : (($false = $true) | (in @ X3 @ (funcSet @ X0 @ X1) = $false) | lam @ X0 @ X1 @ (ap @ X0 @ X1 @ X2) = X3 | (in @ X2 @ (funcSet @ X0 @ X1) = $false) | ap @ X0 @ X1 @ X2 @ (sK4 @ X3 @ X0 @ X1 @ (lam @ X0 @ X1 @ (ap @ X0 @ X1 @ X2))) != ap @ X0 @ X1 @ X3 @ (sK4 @ X3 @ X0 @ X1 @ (lam @ X0 @ X1 @ (ap @ X0 @ X1 @ X2))) | (in @ (ap @ X0 @ X1 @ X2 @ (sK6 @ X0 @ X1 @ (ap @ X0 @ X1 @ X2))) @ X1 = $false)) )),
30.25/4.19	  inference(superposition,[],[f180,f86])).
30.25/4.19	tff(f185,plain,(
30.25/4.19	  ( ! [X2,X0,X3,X1] : ((in @ (ap @ X0 @ X1 @ X2 @ (sK6 @ X0 @ X1 @ (ap @ X0 @ X1 @ X2))) @ X1 = $false) | lam @ X0 @ X1 @ (ap @ X0 @ X1 @ X2) = X3 | (in @ X2 @ (funcSet @ X0 @ X1) = $false) | ap @ X0 @ X1 @ X2 @ (sK4 @ X3 @ X0 @ X1 @ (lam @ X0 @ X1 @ (ap @ X0 @ X1 @ X2))) != ap @ X0 @ X1 @ X3 @ (sK4 @ X3 @ X0 @ X1 @ (lam @ X0 @ X1 @ (ap @ X0 @ X1 @ X2))) | (in @ X3 @ (funcSet @ X0 @ X1) = $false)) )),
30.25/4.19	  inference(trivial_inequality_removal,[],[f181])).
30.25/4.19	tff(f188,plain,(
30.25/4.19	  ( ! [X6,X4,X5,X3] : (($false = $true) | lam @ X3 @ X4 @ (ap @ X3 @ X4 @ X5) = X6 | (in @ X5 @ (funcSet @ X3 @ X4) = $false) | ap @ X3 @ X4 @ X5 @ (sK4 @ X6 @ X3 @ X4 @ (lam @ X3 @ X4 @ (ap @ X3 @ X4 @ X5))) != ap @ X3 @ X4 @ X6 @ (sK4 @ X6 @ X3 @ X4 @ (lam @ X3 @ X4 @ (ap @ X3 @ X4 @ X5))) | (in @ X6 @ (funcSet @ X3 @ X4) = $false) | (in @ (sK6 @ X3 @ X4 @ (ap @ X3 @ X4 @ X5)) @ X3 = $false) | (in @ X5 @ (funcSet @ X3 @ X4) = $false)) )),
30.25/4.19	  inference(superposition,[],[f185,f44])).
30.25/4.19	tff(f192,plain,(
30.25/4.19	  ( ! [X6,X4,X5,X3] : (($false = $true) | lam @ X3 @ X4 @ (ap @ X3 @ X4 @ X5) = X6 | (in @ X5 @ (funcSet @ X3 @ X4) = $false) | ap @ X3 @ X4 @ X5 @ (sK4 @ X6 @ X3 @ X4 @ (lam @ X3 @ X4 @ (ap @ X3 @ X4 @ X5))) != ap @ X3 @ X4 @ X6 @ (sK4 @ X6 @ X3 @ X4 @ (lam @ X3 @ X4 @ (ap @ X3 @ X4 @ X5))) | (in @ X6 @ (funcSet @ X3 @ X4) = $false) | (in @ (sK6 @ X3 @ X4 @ (ap @ X3 @ X4 @ X5)) @ X3 = $false)) )),
30.25/4.19	  inference(duplicate_literal_removal,[],[f188])).
30.25/4.19	tff(f193,plain,(
30.25/4.19	  ( ! [X6,X4,X5,X3] : ((in @ (sK6 @ X3 @ X4 @ (ap @ X3 @ X4 @ X5)) @ X3 = $false) | (in @ X5 @ (funcSet @ X3 @ X4) = $false) | ap @ X3 @ X4 @ X5 @ (sK4 @ X6 @ X3 @ X4 @ (lam @ X3 @ X4 @ (ap @ X3 @ X4 @ X5))) != ap @ X3 @ X4 @ X6 @ (sK4 @ X6 @ X3 @ X4 @ (lam @ X3 @ X4 @ (ap @ X3 @ X4 @ X5))) | (in @ X6 @ (funcSet @ X3 @ X4) = $false) | lam @ X3 @ X4 @ (ap @ X3 @ X4 @ X5) = X6) )),
30.25/4.19	  inference(trivial_inequality_removal,[],[f192])).
30.25/4.19	tff(f194,plain,(
30.25/4.19	  ( ! [X2,X0,X3,X1] : (($false = $true) | (in @ X2 @ (funcSet @ X0 @ X1) = $false) | ap @ X0 @ X1 @ X2 @ (sK4 @ X3 @ X0 @ X1 @ (lam @ X0 @ X1 @ (ap @ X0 @ X1 @ X2))) != ap @ X0 @ X1 @ X3 @ (sK4 @ X3 @ X0 @ X1 @ (lam @ X0 @ X1 @ (ap @ X0 @ X1 @ X2))) | (in @ X3 @ (funcSet @ X0 @ X1) = $false) | lam @ X0 @ X1 @ (ap @ X0 @ X1 @ X2) = X3 | (in @ (lam @ X0 @ X1 @ (ap @ X0 @ X1 @ X2)) @ (funcSet @ X0 @ X1) = $true)) )),
30.25/4.19	  inference(superposition,[],[f193,f85])).
30.25/4.19	tff(f197,plain,(
30.25/4.19	  ( ! [X2,X0,X3,X1] : ((in @ (lam @ X0 @ X1 @ (ap @ X0 @ X1 @ X2)) @ (funcSet @ X0 @ X1) = $true) | ap @ X0 @ X1 @ X2 @ (sK4 @ X3 @ X0 @ X1 @ (lam @ X0 @ X1 @ (ap @ X0 @ X1 @ X2))) != ap @ X0 @ X1 @ X3 @ (sK4 @ X3 @ X0 @ X1 @ (lam @ X0 @ X1 @ (ap @ X0 @ X1 @ X2))) | (in @ X3 @ (funcSet @ X0 @ X1) = $false) | lam @ X0 @ X1 @ (ap @ X0 @ X1 @ X2) = X3 | (in @ X2 @ (funcSet @ X0 @ X1) = $false)) )),
30.25/4.19	  inference(trivial_inequality_removal,[],[f194])).
30.25/4.19	tff(f199,plain,(
30.25/4.19	  ( ! [X6,X10,X8,X7,X9] : (($false = $true) | ap @ X6 @ X7 @ X8 @ (sK4 @ X9 @ X6 @ X7 @ (lam @ X6 @ X7 @ (ap @ X6 @ X7 @ X8))) != ap @ X6 @ X7 @ X9 @ (sK4 @ X9 @ X6 @ X7 @ (lam @ X6 @ X7 @ (ap @ X6 @ X7 @ X8))) | (in @ X9 @ (funcSet @ X6 @ X7) = $false) | lam @ X6 @ X7 @ (ap @ X6 @ X7 @ X8) = X9 | (in @ X8 @ (funcSet @ X6 @ X7) = $false) | (in @ X10 @ (funcSet @ X6 @ X7) = $false) | lam @ X6 @ X7 @ (ap @ X6 @ X7 @ X8) = X10 | (in @ X8 @ (funcSet @ X6 @ X7) = $false) | ap @ X6 @ X7 @ X8 @ (sK4 @ X10 @ X6 @ X7 @ (lam @ X6 @ X7 @ (ap @ X6 @ X7 @ X8))) != ap @ X6 @ X7 @ X10 @ (sK4 @ X10 @ X6 @ X7 @ (lam @ X6 @ X7 @ (ap @ X6 @ X7 @ X8)))) )),
30.25/4.19	  inference(superposition,[],[f197,f180])).
30.25/4.19	tff(f208,plain,(
30.25/4.19	  ( ! [X6,X10,X8,X7,X9] : (($false = $true) | ap @ X6 @ X7 @ X8 @ (sK4 @ X9 @ X6 @ X7 @ (lam @ X6 @ X7 @ (ap @ X6 @ X7 @ X8))) != ap @ X6 @ X7 @ X9 @ (sK4 @ X9 @ X6 @ X7 @ (lam @ X6 @ X7 @ (ap @ X6 @ X7 @ X8))) | (in @ X9 @ (funcSet @ X6 @ X7) = $false) | lam @ X6 @ X7 @ (ap @ X6 @ X7 @ X8) = X9 | (in @ X8 @ (funcSet @ X6 @ X7) = $false) | (in @ X10 @ (funcSet @ X6 @ X7) = $false) | lam @ X6 @ X7 @ (ap @ X6 @ X7 @ X8) = X10 | ap @ X6 @ X7 @ X8 @ (sK4 @ X10 @ X6 @ X7 @ (lam @ X6 @ X7 @ (ap @ X6 @ X7 @ X8))) != ap @ X6 @ X7 @ X10 @ (sK4 @ X10 @ X6 @ X7 @ (lam @ X6 @ X7 @ (ap @ X6 @ X7 @ X8)))) )),
30.25/4.19	  inference(duplicate_literal_removal,[],[f199])).
30.25/4.19	tff(f209,plain,(
30.25/4.19	  ( ! [X6,X10,X8,X7,X9] : (ap @ X6 @ X7 @ X8 @ (sK4 @ X9 @ X6 @ X7 @ (lam @ X6 @ X7 @ (ap @ X6 @ X7 @ X8))) != ap @ X6 @ X7 @ X9 @ (sK4 @ X9 @ X6 @ X7 @ (lam @ X6 @ X7 @ (ap @ X6 @ X7 @ X8))) | (in @ X9 @ (funcSet @ X6 @ X7) = $false) | lam @ X6 @ X7 @ (ap @ X6 @ X7 @ X8) = X9 | (in @ X8 @ (funcSet @ X6 @ X7) = $false) | (in @ X10 @ (funcSet @ X6 @ X7) = $false) | lam @ X6 @ X7 @ (ap @ X6 @ X7 @ X8) = X10 | ap @ X6 @ X7 @ X8 @ (sK4 @ X10 @ X6 @ X7 @ (lam @ X6 @ X7 @ (ap @ X6 @ X7 @ X8))) != ap @ X6 @ X7 @ X10 @ (sK4 @ X10 @ X6 @ X7 @ (lam @ X6 @ X7 @ (ap @ X6 @ X7 @ X8)))) )),
30.25/4.19	  inference(trivial_inequality_removal,[],[f208])).
30.25/4.19	tff(f511,plain,(
30.25/4.19	  ( ! [X2,X0,X3,X1] : ((in @ X0 @ (funcSet @ X1 @ X2) = $false) | lam @ X1 @ X2 @ (ap @ X1 @ X2 @ X0) = X0 | (in @ X0 @ (funcSet @ X1 @ X2) = $false) | (in @ X3 @ (funcSet @ X1 @ X2) = $false) | lam @ X1 @ X2 @ (ap @ X1 @ X2 @ X0) = X3 | ap @ X1 @ X2 @ X0 @ (sK4 @ X3 @ X1 @ X2 @ (lam @ X1 @ X2 @ (ap @ X1 @ X2 @ X0))) != ap @ X1 @ X2 @ X3 @ (sK4 @ X3 @ X1 @ X2 @ (lam @ X1 @ X2 @ (ap @ X1 @ X2 @ X0)))) )),
30.25/4.19	  inference(equality_resolution,[],[f209])).
30.25/4.19	tff(f512,plain,(
30.25/4.19	  ( ! [X2,X0,X3,X1] : (ap @ X1 @ X2 @ X0 @ (sK4 @ X3 @ X1 @ X2 @ (lam @ X1 @ X2 @ (ap @ X1 @ X2 @ X0))) != ap @ X1 @ X2 @ X3 @ (sK4 @ X3 @ X1 @ X2 @ (lam @ X1 @ X2 @ (ap @ X1 @ X2 @ X0))) | lam @ X1 @ X2 @ (ap @ X1 @ X2 @ X0) = X0 | (in @ X3 @ (funcSet @ X1 @ X2) = $false) | lam @ X1 @ X2 @ (ap @ X1 @ X2 @ X0) = X3 | (in @ X0 @ (funcSet @ X1 @ X2) = $false)) )),
30.25/4.19	  inference(duplicate_literal_removal,[],[f511])).
30.25/4.19	tff(f543,plain,(
30.25/4.19	  ( ! [X2,X0,X1] : (lam @ X0 @ X1 @ (ap @ X0 @ X1 @ X2) = X2 | (in @ X2 @ (funcSet @ X0 @ X1) = $false) | lam @ X0 @ X1 @ (ap @ X0 @ X1 @ X2) = X2 | (in @ X2 @ (funcSet @ X0 @ X1) = $false)) )),
30.25/4.19	  inference(equality_resolution,[],[f512])).
30.25/4.19	tff(f544,plain,(
30.25/4.19	  ( ! [X2,X0,X1] : (lam @ X0 @ X1 @ (ap @ X0 @ X1 @ X2) = X2 | (in @ X2 @ (funcSet @ X0 @ X1) = $false)) )),
30.25/4.19	  inference(duplicate_literal_removal,[],[f543])).
30.25/4.19	tff(f545,plain,(
30.25/4.19	  sK2 != sK2 | (in @ sK2 @ (funcSet @ sK0 @ sK1) = $false)),
30.25/4.19	  inference(superposition,[],[f26,f544])).
30.25/4.19	tff(f575,plain,(
30.25/4.19	  (in @ sK2 @ (funcSet @ sK0 @ sK1) = $false)),
30.25/4.19	  inference(trivial_inequality_removal,[],[f545])).
30.25/4.19	tff(f576,plain,(
30.25/4.19	  ($false = $true)),
30.25/4.19	  inference(backward_demodulation,[],[f575,f25])).
30.25/4.19	tff(f577,plain,(
30.25/4.19	  $false),
30.25/4.19	  inference(trivial_inequality_removal,[],[f576])).
30.25/4.19	% SZS output end Proof for theBenchmark
30.25/4.19	% (2673)------------------------------
30.25/4.19	% (2673)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
30.25/4.19	% (2673)Termination reason: Refutation
30.25/4.19	
30.25/4.19	% (2673)Memory used [KB]: 11641
30.25/4.19	% (2673)Time elapsed: 0.407 s
30.25/4.19	% (2673)------------------------------
30.25/4.19	% (2673)------------------------------
30.52/4.20	% (2602)Success in time 3.843 s
30.52/4.21	EOF