%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP002^3 : TPTP v9.3.1. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:07:35 AM UTC 2026
% Result : Theorem 0.76s 0.41s
% Output : Refutation 0.76s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP002^3 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n006.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Sep 29 19:18:58 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running higher-order theorem proving
% 0.08/0.24 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.36 % (1177771)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.22/0.36 % (1177780)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2482203033:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.22/0.36 % (1177782)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.22/0.36 % (1177782)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.22/0.36 % (1177777)lrs+10_16_si=on:nwc=1.5:random_seed=1587296312:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.22/0.36 % (1177778)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2701502762:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.22/0.36 % (1177776)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=218202395:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.22/0.36 % (1177779)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=2518321644:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.22/0.36 % (1177781)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2189588412:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.22/0.36 % (1177782)dis+1002_8_to=kbo:sil=128000:tgt=full:drc=off:si=on:sp=const_max:lma=off:spb=non_intro:cbe=off:uwa=interpreted_only:random_seed=736105549:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.22/0.36 % (1177780)Instruction limit reached!
% 0.22/0.36 % (1177780)------------------------------
% 0.22/0.36 % (1177780)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.36 % (1177780)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.36 % (1177780)CaDiCaL version: 2.1.3
% 0.22/0.36 % (1177780)Termination reason: Instruction limit
% 0.22/0.36 % (1177780)Termination phase: Saturation
% 0.22/0.36 % (1177780)Time elapsed: 0.008 s
% 0.22/0.36 % (1177780)Peak memory usage: 12 MB
% 0.22/0.36 % (1177780)Instructions burned: 27 (million)
% 0.22/0.36 % (1177778)Instruction limit reached!
% 0.22/0.36 % (1177778)------------------------------
% 0.22/0.36 % (1177778)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.36 % (1177778)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.36 % (1177778)CaDiCaL version: 2.1.3
% 0.22/0.36 % (1177778)Termination reason: Instruction limit
% 0.22/0.36 % (1177778)Termination phase: Saturation
% 0.22/0.36 % (1177778)Time elapsed: 0.003 s
% 0.22/0.36 % (1177778)Peak memory usage: 11 MB
% 0.22/0.36 % (1177778)Instructions burned: 4 (million)
% 0.22/0.36 % (1177779)Refutation not found, incomplete strategy
% 0.22/0.36 % (1177779)------------------------------
% 0.22/0.36 % (1177779)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.36 % (1177779)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.36 % (1177779)CaDiCaL version: 2.1.3
% 0.22/0.36 % (1177779)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.36 % (1177779)Time elapsed: 0.009 s
% 0.22/0.36 % (1177779)Peak memory usage: 12 MB
% 0.22/0.36 % (1177779)Instructions burned: 12 (million)
% 0.22/0.36 % (1177779)------------------------------
% 0.22/0.36 % (1177779)------------------------------
% 0.22/0.36 % (1177777)Instruction limit reached!
% 0.22/0.36 % (1177777)------------------------------
% 0.22/0.36 % (1177777)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.36 % (1177790)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3258317908:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.22/0.36 % (1177777)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.36 % (1177777)CaDiCaL version: 2.1.3
% 0.22/0.36 % (1177777)Termination reason: Instruction limit
% 0.22/0.36 % (1177777)Termination phase: Saturation
% 0.22/0.36 % (1177777)Time elapsed: 0.012 s
% 0.22/0.36 % (1177777)Peak memory usage: 12 MB
% 0.22/0.36 % (1177777)Instructions burned: 18 (million)
% 0.22/0.36 % (1177790)Instruction limit reached!
% 0.22/0.36 % (1177790)------------------------------
% 0.76/0.39 % (1177790)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.39 % (1177790)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.39 % (1177790)CaDiCaL version: 2.1.3
% 0.76/0.39 % (1177790)Termination reason: Instruction limit
% 0.76/0.39 % (1177790)Termination phase: Saturation
% 0.76/0.39 % (1177790)Time elapsed: 0.001 s
% 0.76/0.39 % (1177790)Peak memory usage: 11 MB
% 0.76/0.39 % (1177790)Instructions burned: 4 (million)
% 0.76/0.39 % (1177795)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.76/0.39 % (1177795)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.76/0.39 % (1177791)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2574790951:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.76/0.39 % (1177795)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=356835413:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.76/0.39 % (1177792)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.76/0.39 % (1177791)Instruction limit reached!
% 0.76/0.39 % (1177791)------------------------------
% 0.76/0.39 % (1177791)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.39 % (1177791)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.39 % (1177791)CaDiCaL version: 2.1.3
% 0.76/0.39 % (1177791)Termination reason: Instruction limit
% 0.76/0.39 % (1177791)Termination phase: Saturation
% 0.76/0.39 % (1177791)Time elapsed: 0.004 s
% 0.76/0.39 % (1177791)Peak memory usage: 12 MB
% 0.76/0.39 % (1177791)Instructions burned: 6 (million)
% 0.76/0.39 % (1177792)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3732659394:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.76/0.39 % (1177795)Instruction limit reached!
% 0.76/0.39 % (1177795)------------------------------
% 0.76/0.39 % (1177795)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.39 % (1177795)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.39 % (1177795)CaDiCaL version: 2.1.3
% 0.76/0.39 % (1177795)Termination reason: Instruction limit
% 0.76/0.39 % (1177795)Termination phase: Saturation
% 0.76/0.39 % (1177795)Time elapsed: 0.009 s
% 0.76/0.39 % (1177795)Peak memory usage: 12 MB
% 0.76/0.39 % (1177795)Instructions burned: 31 (million)
% 0.76/0.39 % (1177794)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3012584051:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.76/0.39 % (1177792)Instruction limit reached!
% 0.76/0.39 % (1177792)------------------------------
% 0.76/0.39 % (1177792)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.39 % (1177792)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.39 % (1177792)CaDiCaL version: 2.1.3
% 0.76/0.39 % (1177792)Termination reason: Instruction limit
% 0.76/0.39 % (1177792)Termination phase: Saturation
% 0.76/0.39 % (1177792)Time elapsed: 0.004 s
% 0.76/0.39 % (1177792)Peak memory usage: 11 MB
% 0.76/0.39 % (1177792)Instructions burned: 8 (million)
% 0.76/0.39 % (1177794)Instruction limit reached!
% 0.76/0.39 % (1177794)------------------------------
% 0.76/0.39 % (1177794)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.39 % (1177794)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.39 % (1177794)CaDiCaL version: 2.1.3
% 0.76/0.39 % (1177794)Termination reason: Instruction limit
% 0.76/0.39 % (1177794)Termination phase: Saturation
% 0.76/0.39 % (1177794)Time elapsed: 0.009 s
% 0.76/0.39 % (1177794)Peak memory usage: 12 MB
% 0.76/0.39 % (1177794)Instructions burned: 13 (million)
% 0.76/0.39 % (1177801)lrs+10_1_si=on:cs=on:random_seed=3344621526:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.76/0.39 % (1177781)Instruction limit reached!
% 0.76/0.39 % (1177781)------------------------------
% 0.76/0.39 % (1177781)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.41 % (1177781)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.41 % (1177781)CaDiCaL version: 2.1.3
% 0.76/0.41 % (1177781)Termination reason: Instruction limit
% 0.76/0.41 % (1177781)Termination phase: Saturation
% 0.76/0.41 % (1177781)Time elapsed: 0.045 s
% 0.76/0.41 % (1177781)Peak memory usage: 12 MB
% 0.76/0.41 % (1177781)Instructions burned: 76 (million)
% 0.76/0.41 % (1177801)Instruction limit reached!
% 0.76/0.41 % (1177801)------------------------------
% 0.76/0.41 % (1177801)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.41 % (1177801)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.41 % (1177801)CaDiCaL version: 2.1.3
% 0.76/0.41 % (1177801)Termination reason: Instruction limit
% 0.76/0.41 % (1177801)Termination phase: Saturation
% 0.76/0.41 % (1177801)Time elapsed: 0.002 s
% 0.76/0.41 % (1177801)Peak memory usage: 11 MB
% 0.76/0.41 % (1177801)Instructions burned: 9 (million)
% 0.76/0.41 % (1177802)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.76/0.41 % (1177798)lrs+1002_64_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sp=occurrence:lma=off:plsqr=32,1:uwa=interpreted_only:random_seed=592071458:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.76/0.41 % (1177776)Instruction limit reached!
% 0.76/0.41 % (1177776)------------------------------
% 0.76/0.41 % (1177776)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.41 % (1177776)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.41 % (1177776)CaDiCaL version: 2.1.3
% 0.76/0.41 % (1177776)Termination reason: Instruction limit
% 0.76/0.41 % (1177776)Termination phase: Saturation
% 0.76/0.41 % (1177776)Time elapsed: 0.052 s
% 0.76/0.41 % (1177776)Peak memory usage: 12 MB
% 0.76/0.41 % (1177776)Instructions burned: 87 (million)
% 0.76/0.41 % (1177802)ott+1002_20_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:plsqr=1,32:bce=on:uwa=interpreted_only:foolp=on:random_seed=2144955499:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.76/0.41 % (1177806)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2902782286:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/25Mi)
% 0.76/0.41 % (1177802)Instruction limit reached!
% 0.76/0.41 % (1177802)------------------------------
% 0.76/0.41 % (1177802)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.41 % (1177802)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.41 % (1177802)CaDiCaL version: 2.1.3
% 0.76/0.41 % (1177802)Termination reason: Instruction limit
% 0.76/0.41 % (1177802)Termination phase: Property scanning
% 0.76/0.41 % (1177802)Time elapsed: 0.002 s
% 0.76/0.41 % (1177802)Peak memory usage: 10 MB
% 0.76/0.41 % (1177802)Instructions burned: 4 (million)
% 0.76/0.41 % (1177805)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=3711562885:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.76/0.41 % (1177806)Instruction limit reached!
% 0.76/0.41 % (1177806)------------------------------
% 0.76/0.41 % (1177806)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.41 % (1177806)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.41 % (1177806)CaDiCaL version: 2.1.3
% 0.76/0.41 % (1177806)Termination reason: Instruction limit
% 0.76/0.41 % (1177806)Termination phase: Saturation
% 0.76/0.41 % (1177806)Time elapsed: 0.009 s
% 0.76/0.41 % (1177806)Peak memory usage: 12 MB
% 0.76/0.41 % (1177806)Instructions burned: 27 (million)
% 0.76/0.41 % (1177805)Refutation not found, incomplete strategy
% 0.76/0.41 % (1177805)------------------------------
% 0.76/0.41 % (1177805)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.41 % (1177805)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.41 % (1177805)CaDiCaL version: 2.1.3
% 0.76/0.41 % (1177805)Termination reason: Refutation not found, incomplete strategy
% 0.76/0.41 % (1177805)Time elapsed: 0.005 s
% 0.76/0.41 % (1177805)Peak memory usage: 12 MB
% 0.76/0.41 % (1177805)Instructions burned: 9 (million)
% 0.76/0.41 % (1177808)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=897905615:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2999 on theBenchmark for (2999ds/14Mi)
% 0.76/0.41 % (1177805)------------------------------
% 0.76/0.41 % (1177805)------------------------------
% 0.76/0.41 % (1177811)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1175064254:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/327Mi)
% 0.76/0.41 % (1177813)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=3564510525:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 0.76/0.41 % (1177803)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=4204006549:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.76/0.41 % (1177808)Instruction limit reached!
% 0.76/0.41 % (1177808)------------------------------
% 0.76/0.41 % (1177808)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.41 % (1177808)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.41 % (1177808)CaDiCaL version: 2.1.3
% 0.76/0.41 % (1177808)Termination reason: Instruction limit
% 0.76/0.41 % (1177808)Termination phase: Saturation
% 0.76/0.41 % (1177808)Time elapsed: 0.009 s
% 0.76/0.41 % (1177808)Peak memory usage: 12 MB
% 0.76/0.41 % (1177808)Instructions burned: 14 (million)
% 0.76/0.41 % (1177813)Instruction limit reached!
% 0.76/0.41 % (1177813)------------------------------
% 0.76/0.41 % (1177813)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.41 % (1177813)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.41 % (1177813)CaDiCaL version: 2.1.3
% 0.76/0.41 % (1177813)Termination reason: Instruction limit
% 0.76/0.41 % (1177813)Termination phase: Saturation
% 0.76/0.41 % (1177813)Time elapsed: 0.005 s
% 0.76/0.41 % (1177813)Peak memory usage: 12 MB
% 0.76/0.41 % (1177813)Instructions burned: 15 (million)
% 0.76/0.41 % (1177782)Instruction limit reached!
% 0.76/0.41 % (1177782)------------------------------
% 0.76/0.41 % (1177782)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.41 % (1177782)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.41 % (1177782)CaDiCaL version: 2.1.3
% 0.76/0.41 % (1177782)Termination reason: Instruction limit
% 0.76/0.41 % (1177782)Termination phase: Saturation
% 0.76/0.41 % (1177782)Time elapsed: 0.089 s
% 0.76/0.41 % (1177782)Peak memory usage: 13 MB
% 0.76/0.41 % (1177782)Instructions burned: 158 (million)
% 0.76/0.41 % (1177815)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=1349641016:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2998 on theBenchmark for (2998ds/2Mi)
% 0.76/0.41 % (1177820)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=909881978:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 0.76/0.41 % (1177815)Instruction limit reached!
% 0.76/0.41 % (1177815)------------------------------
% 0.76/0.41 % (1177815)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.41 % (1177815)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.41 % (1177815)CaDiCaL version: 2.1.3
% 0.76/0.41 % (1177815)Termination reason: Instruction limit
% 0.76/0.41 % (1177815)Termination phase: Saturation
% 0.76/0.41 % (1177815)Time elapsed: 0.002 s
% 0.76/0.41 % (1177815)Peak memory usage: 11 MB
% 0.76/0.41 % (1177815)Instructions burned: 3 (million)
% 0.76/0.41 % (1177820)Instruction limit reached!
% 0.76/0.41 % (1177820)------------------------------
% 0.76/0.41 % (1177820)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.41 % (1177820)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.41 % (1177820)CaDiCaL version: 2.1.3
% 0.76/0.41 % (1177820)Termination reason: Instruction limit
% 0.76/0.41 % (1177820)Termination phase: Saturation
% 0.76/0.41 % (1177820)Time elapsed: 0.007 s
% 0.76/0.41 % (1177820)Peak memory usage: 12 MB
% 0.76/0.41 % (1177820)Instructions burned: 24 (million)
% 0.76/0.41 % (1177819)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2775148911:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 0.76/0.41 % (1177803)Instruction limit reached!
% 0.76/0.41 % (1177803)------------------------------
% 0.76/0.41 % (1177803)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.41 % (1177803)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.41 % (1177803)CaDiCaL version: 2.1.3
% 0.76/0.41 % (1177803)Termination reason: Instruction limit
% 0.76/0.41 % (1177803)Termination phase: Saturation
% 0.76/0.41 % (1177803)Time elapsed: 0.022 s
% 0.76/0.41 % (1177803)Peak memory usage: 12 MB
% 0.76/0.41 % (1177803)Instructions burned: 38 (million)
% 0.76/0.41 % (1177826)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 0.76/0.41 % (1177821)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=3547394613:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 0.76/0.41 % (1177824)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.76/0.41 % (1177824)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 0.76/0.41 % (1177826)lrs+1010_4:1_slsqr=8,1:to=kbo:cha=on:drc=off:si=on:sp=arity:lcm=predicate:uwa=off:fd=preordered:gs=on:nwc=5:s2agt=32:slsqc=1:kmz=on:updr=off:chr=on:pe=on:slsq=on:random_seed=3989347060:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 0.76/0.41 % (1177824)ott+21_1_to=kbo:sil=128000:cnfonf=lazy_gen:bsd=on:si=on:sp=const_frequency:lma=off:uwa=off:foolp=on:s2agt=10:lwlo=on:random_seed=3992133604:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.76/0.41 % (1177798)Instruction limit reached!
% 0.76/0.41 % (1177798)------------------------------
% 0.76/0.41 % (1177798)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.41 % (1177798)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.41 % (1177798)CaDiCaL version: 2.1.3
% 0.76/0.41 % (1177798)Termination reason: Instruction limit
% 0.76/0.41 % (1177798)Termination phase: Saturation
% 0.76/0.41 % (1177798)Time elapsed: 0.062 s
% 0.76/0.41 % (1177798)Peak memory usage: 12 MB
% 0.76/0.41 % (1177798)Instructions burned: 87 (million)
% 0.76/0.41 % (1177811) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1177771-1177811"...
% 0.76/0.41 % (1177826)Instruction limit reached!
% 0.76/0.41 % (1177826)------------------------------
% 0.76/0.41 % (1177826)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.41 % (1177826)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.41 % (1177826)CaDiCaL version: 2.1.3
% 0.76/0.41 % (1177826)Termination reason: Instruction limit
% 0.76/0.41 % (1177826)Termination phase: Saturation
% 0.76/0.41 % (1177826)Time elapsed: 0.003 s
% 0.76/0.41 % (1177826)Peak memory usage: 12 MB
% 0.76/0.41 % (1177826)Instructions burned: 10 (million)
% 0.76/0.41 % (1177819)Instruction limit reached!
% 0.76/0.41 % (1177819)------------------------------
% 0.76/0.41 % (1177819)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.41 % (1177819)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.41 % (1177819)CaDiCaL version: 2.1.3
% 0.76/0.41 % (1177819)Termination reason: Instruction limit
% 0.76/0.41 % (1177819)Termination phase: Saturation
% 0.76/0.41 % (1177819)Time elapsed: 0.016 s
% 0.76/0.41 % (1177819)Peak memory usage: 12 MB
% 0.76/0.41 % (1177819)Instructions burned: 27 (million)
% 0.76/0.41 % (1177811)...printing done.
% 0.76/0.41 % (1177811)Refutation found. Thanks to Tanya!
% 0.76/0.41 % SZS status Theorem for theBenchmark
% 0.76/0.41 % SZS output start Proof for theBenchmark
% 0.76/0.41 thf(type_def_5, type, tyop_2Emin_2Ebool: $tType).
% 0.76/0.41 thf(type_def_6, type, tyop_2Emin_2Efun: ($tType * $tType) > $tType).
% 0.76/0.41 thf(type_def_7, type, tyop_2Eoption_2Eoption: $tType > $tType).
% 0.76/0.41 thf(type_def_8, type, sTfun: ($tType * $tType) > $tType).
% 0.76/0.41 thf(type_def_9, type, sK0: $tType).
% 0.76/0.41 thf(type_def_10, type, sK1: $tType).
% 0.76/0.41 thf(type_def_11, type, sK2: $tType).
% 0.76/0.41 thf(func_def_0, type, c_2Ebool_2E_21: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.76/0.41 thf(func_def_1, type, c_2Ebool_2E_2F_5C: ($o > $o > $o)).
% 0.76/0.41 thf(func_def_2, type, c_2Emin_2E_3D: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.76/0.41 thf(func_def_3, type, c_2Emin_2E_3D_3D_3E: ($o > $o > $o)).
% 0.76/0.41 thf(func_def_4, type, c_2Ebool_2E_3F: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.76/0.41 thf(func_def_5, type, c_2Ebool_2ECOND: !>[X0: $tType]:(($o > X0 > X0 > X0))).
% 0.76/0.41 thf(func_def_6, type, c_2Ebool_2EF: $o).
% 0.76/0.41 thf(func_def_7, type, c_2Eoption_2EIS__SOME: !>[X0: $tType]:((tyop_2Eoption_2Eoption @ X0 > $o))).
% 0.76/0.41 thf(func_def_8, type, c_2Eoption_2ENONE: !>[X0: $tType]:(tyop_2Eoption_2Eoption @ X0)).
% 0.76/0.41 thf(func_def_9, type, c_2Eoption_2EOPTION__MAP2: !>[X0: $tType, X1: $tType, X2: $tType]:(((X1 > X2 > X0) > tyop_2Eoption_2Eoption @ X1 > tyop_2Eoption_2Eoption @ X2 > tyop_2Eoption_2Eoption @ X0))).
% 0.76/0.41 thf(func_def_10, type, c_2Eoption_2ESOME: !>[X0: $tType]:((X0 > tyop_2Eoption_2Eoption @ X0))).
% 0.76/0.41 thf(func_def_11, type, c_2Ebool_2ET: $o).
% 0.76/0.41 thf(func_def_12, type, c_2Eoption_2ETHE: !>[X0: $tType]:((tyop_2Eoption_2Eoption @ X0 > X0))).
% 0.76/0.41 thf(func_def_13, type, c_2Ebool_2E_5C_2F: ($o > $o > $o)).
% 0.76/0.41 thf(func_def_14, type, c_2Ebool_2E_7E: ($o > $o)).
% 0.76/0.41 thf(func_def_16, type, vNOT: ($o > $o)).
% 0.76/0.41 thf(func_def_19, type, sK3: sK2).
% 0.76/0.41 thf(func_def_20, type, sK4: sK1).
% 0.76/0.41 thf(func_def_21, type, sK5: (sK2 > sK1 > sK0)).
% 0.76/0.41 thf(f1,axiom,(
% 0.76/0.41 ! [X4 : $o,X3 : $o] : ((X4 & X3) <=> (c_2Ebool_2E_2F_5C @ X3 @ X4))),
% 0.76/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',logicdef_2E_2F_5C)).
% 0.76/0.41 thf(f8,axiom,(
% 0.76/0.41 c_2Ebool_2ET),
% 0.76/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ebool_2ETRUTH)).
% 0.76/0.41 thf(f9,axiom,(
% 0.76/0.41 ! [X0 : $o] : ((X0 <=> (X0 & c_2Ebool_2ET)) & (X0 <=> (c_2Ebool_2ET & X0)) & ((c_2Ebool_2EF & X0) <=> c_2Ebool_2EF) & (c_2Ebool_2EF <=> (c_2Ebool_2EF & X0)) & (X0 <=> (X0 & X0)))),
% 0.76/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ebool_2EAND__CLAUSES)).
% 0.76/0.41 thf(f11,axiom,(
% 0.76/0.41 ! [X0 : $tType,X2 : X0,X1 : X0] : ((((c_2Ebool_2ECOND @ X0 @ c_2Ebool_2EF @ X1 @ X2)) = X2) & (((c_2Ebool_2ECOND @ X0 @ c_2Ebool_2ET @ X1 @ X2)) = X1))),
% 0.76/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ebool_2ECOND__CLAUSES)).
% 0.76/0.41 thf(f13,axiom,(
% 0.76/0.41 ! [X0 : $tType] : ((((c_2Eoption_2EIS__SOME @ X0 @ c_2Eoption_2ENONE @ X0)) = c_2Ebool_2EF) & ! [X1 : X0] : (((c_2Eoption_2EIS__SOME @ X0 @ (c_2Eoption_2ESOME @ X0 @ X1))) = c_2Ebool_2ET))),
% 0.76/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Eoption_2EIS__SOME__DEF)).
% 0.76/0.41 thf(f14,axiom,(
% 0.76/0.41 ! [X0 : $tType,X1 : X0] : (((c_2Eoption_2ETHE @ X0 @ (c_2Eoption_2ESOME @ X0 @ X1))) = X1)),
% 0.76/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Eoption_2ETHE__DEF)).
% 0.76/0.41 thf(f15,axiom,(
% 0.76/0.41 ! [X2 : $tType,X1 : $tType,X0 : $tType,X5 : tyop_2Eoption_2Eoption @ X2,X4 : tyop_2Eoption_2Eoption @ X1,X3 : (X1 > X2 > X0)] : (((c_2Eoption_2EOPTION__MAP2 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)) = ((c_2Ebool_2ECOND @ tyop_2Eoption_2Eoption @ X0 @ (c_2Ebool_2E_2F_5C @ (c_2Eoption_2EIS__SOME @ X1 @ X4) @ (c_2Eoption_2EIS__SOME @ X2 @ X5)) @ (c_2Eoption_2ESOME @ X0 @ (X3 @ (c_2Eoption_2ETHE @ X1 @ X4) @ (c_2Eoption_2ETHE @ X2 @ X5))) @ c_2Eoption_2ENONE @ X0)))),
% 0.76/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Eoption_2EOPTION__MAP2__DEF)).
% 0.76/0.41 thf(f16,conjecture,(
% 0.76/0.41 ! [X1 : $tType,X2 : $tType,X0 : $tType,X5 : (X1 > X2 > X0),X3 : X2,X4 : X1] : ((((c_2Eoption_2EOPTION__MAP2 @ X0 @ X1 @ X2 @ X5 @ c_2Eoption_2ENONE @ X1 @ c_2Eoption_2ENONE @ X2)) = c_2Eoption_2ENONE @ X0) & (((c_2Eoption_2EOPTION__MAP2 @ X0 @ X1 @ X2 @ X5 @ (c_2Eoption_2ESOME @ X1 @ X4) @ c_2Eoption_2ENONE @ X2)) = c_2Eoption_2ENONE @ X0) & (((c_2Eoption_2EOPTION__MAP2 @ X0 @ X1 @ X2 @ X5 @ (c_2Eoption_2ESOME @ X1 @ X4) @ (c_2Eoption_2ESOME @ X2 @ X3))) = ((c_2Eoption_2ESOME @ X0 @ (X5 @ X4 @ X3)))) & (((c_2Eoption_2EOPTION__MAP2 @ X0 @ X1 @ X2 @ X5 @ c_2Eoption_2ENONE @ X1 @ (c_2Eoption_2ESOME @ X2 @ X3))) = c_2Eoption_2ENONE @ X0))),
% 0.76/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Eoption_2EOPTION__MAP2__THM)).
% 0.76/0.41 thf(f17,negated_conjecture,(
% 0.76/0.41 ~ ! [X1 : $tType,X2 : $tType,X0 : $tType,X5 : (X1 > X2 > X0),X3 : X2,X4 : X1] : ((((c_2Eoption_2EOPTION__MAP2 @ X0 @ X1 @ X2 @ X5 @ c_2Eoption_2ENONE @ X1 @ c_2Eoption_2ENONE @ X2)) = c_2Eoption_2ENONE @ X0) & (((c_2Eoption_2EOPTION__MAP2 @ X0 @ X1 @ X2 @ X5 @ (c_2Eoption_2ESOME @ X1 @ X4) @ c_2Eoption_2ENONE @ X2)) = c_2Eoption_2ENONE @ X0) & (((c_2Eoption_2EOPTION__MAP2 @ X0 @ X1 @ X2 @ X5 @ (c_2Eoption_2ESOME @ X1 @ X4) @ (c_2Eoption_2ESOME @ X2 @ X3))) = ((c_2Eoption_2ESOME @ X0 @ (X5 @ X4 @ X3)))) & (((c_2Eoption_2EOPTION__MAP2 @ X0 @ X1 @ X2 @ X5 @ c_2Eoption_2ENONE @ X1 @ (c_2Eoption_2ESOME @ X2 @ X3))) = c_2Eoption_2ENONE @ X0))),
% 0.76/0.41 inference(negated_conjecture,[status(cth)],[f16])).
% 0.76/0.41 thf(f28,plain,(
% 0.76/0.41 ! [X0 : $o,X1 : $o] : ((X0 & X1) <=> (c_2Ebool_2E_2F_5C @ X1 @ X0))),
% 0.76/0.41 inference(rectify,[],[f1])).
% 0.76/0.41 thf(f29,plain,(
% 0.76/0.41 ! [X1 : $o,X0 : $o] : (($true = ((c_2Ebool_2E_2F_5C @ X1 @ X0))) <=> (($true = X1) & ($true = X0)))),
% 0.76/0.41 inference(fool_elimination,[],[f28])).
% 0.76/0.41 thf(f32,plain,(
% 0.76/0.41 ! [X0 : $o] : ((X0 <=> (X0 & c_2Ebool_2ET)) & (X0 <=> (c_2Ebool_2ET & X0)) & ((c_2Ebool_2EF & X0) <=> c_2Ebool_2EF) & (c_2Ebool_2EF <=> (c_2Ebool_2EF & X0)) & (X0 <=> (X0 & X0)))),
% 0.76/0.41 inference(rectify,[],[f9])).
% 0.76/0.41 thf(f33,plain,(
% 0.76/0.41 ! [X0 : $o] : (((($true = X0) & (c_2Ebool_2EF = $true)) <=> (c_2Ebool_2EF = $true)) & (((c_2Ebool_2EF = $true) & ($true = X0)) <=> (c_2Ebool_2EF = $true)) & (($true = X0) <=> (($true = X0) & (c_2Ebool_2ET = $true))) & (($true = X0) <=> (($true = X0) & ($true = X0))) & ((($true = X0) & (c_2Ebool_2ET = $true)) <=> ($true = X0)))),
% 0.76/0.41 inference(fool_elimination,[],[f32])).
% 0.76/0.41 thf(f34,plain,(
% 0.76/0.41 c_2Ebool_2ET),
% 0.76/0.41 inference(rectify,[],[f8])).
% 0.76/0.41 thf(f35,plain,(
% 0.76/0.41 (c_2Ebool_2ET = $true)),
% 0.76/0.41 inference(fool_elimination,[],[f34])).
% 0.76/0.41 thf(f38,plain,(
% 0.76/0.41 ~ ! [X0 : $tType,X2 : $tType,X1 : $tType,X3 : (X0 > X1 > X2),X5 : X0,X4 : X1] : ((c_2Eoption_2ENONE @ X2 = ((c_2Eoption_2EOPTION__MAP2 @ X2 @ X0 @ X1 @ X3 @ c_2Eoption_2ENONE @ X0 @ c_2Eoption_2ENONE @ X1))) & (c_2Eoption_2ENONE @ X2 = ((c_2Eoption_2EOPTION__MAP2 @ X2 @ X0 @ X1 @ X3 @ c_2Eoption_2ENONE @ X0 @ (c_2Eoption_2ESOME @ X1 @ X4)))) & (c_2Eoption_2ENONE @ X2 = ((c_2Eoption_2EOPTION__MAP2 @ X2 @ X0 @ X1 @ X3 @ (c_2Eoption_2ESOME @ X0 @ X5) @ c_2Eoption_2ENONE @ X1))) & (((c_2Eoption_2EOPTION__MAP2 @ X2 @ X0 @ X1 @ X3 @ (c_2Eoption_2ESOME @ X0 @ X5) @ (c_2Eoption_2ESOME @ X1 @ X4))) = ((c_2Eoption_2ESOME @ X2 @ (X3 @ X5 @ X4)))))),
% 0.76/0.41 inference(rectify,[],[f17])).
% 0.76/0.41 thf(f40,plain,(
% 0.76/0.41 ! [X1 : $tType,X0 : $tType,X2 : $tType,X5 : (X1 > X0 > X2),X3 : tyop_2Eoption_2Eoption @ X0,X4 : tyop_2Eoption_2Eoption @ X1] : (((c_2Eoption_2EOPTION__MAP2 @ X2 @ X1 @ X0 @ X5 @ X4 @ X3)) = ((c_2Ebool_2ECOND @ tyop_2Eoption_2Eoption @ X2 @ (c_2Ebool_2E_2F_5C @ (c_2Eoption_2EIS__SOME @ X1 @ X4) @ (c_2Eoption_2EIS__SOME @ X0 @ X3)) @ (c_2Eoption_2ESOME @ X2 @ (X5 @ (c_2Eoption_2ETHE @ X1 @ X4) @ (c_2Eoption_2ETHE @ X0 @ X3))) @ c_2Eoption_2ENONE @ X2)))),
% 0.76/0.41 inference(rectify,[],[f15])).
% 0.76/0.41 thf(f41,plain,(
% 0.76/0.41 ! [X0 : $tType,X2 : X0,X1 : X0] : ((((c_2Ebool_2ECOND @ X0 @ c_2Ebool_2EF @ X2 @ X1)) = X1) & (((c_2Ebool_2ECOND @ X0 @ c_2Ebool_2ET @ X2 @ X1)) = X2))),
% 0.76/0.41 inference(rectify,[],[f11])).
% 0.76/0.41 thf(f42,plain,(
% 0.76/0.41 ? [X2 : $tType,X1 : $tType,X0 : $tType,X5 : X0,X4 : X1,X3 : (X0 > X1 > X2)] : ((c_2Eoption_2ENONE @ X2 != ((c_2Eoption_2EOPTION__MAP2 @ X2 @ X0 @ X1 @ X3 @ c_2Eoption_2ENONE @ X0 @ c_2Eoption_2ENONE @ X1))) | (((c_2Eoption_2EOPTION__MAP2 @ X2 @ X0 @ X1 @ X3 @ (c_2Eoption_2ESOME @ X0 @ X5) @ (c_2Eoption_2ESOME @ X1 @ X4))) != ((c_2Eoption_2ESOME @ X2 @ (X3 @ X5 @ X4)))) | (c_2Eoption_2ENONE @ X2 != ((c_2Eoption_2EOPTION__MAP2 @ X2 @ X0 @ X1 @ X3 @ c_2Eoption_2ENONE @ X0 @ (c_2Eoption_2ESOME @ X1 @ X4)))) | (c_2Eoption_2ENONE @ X2 != ((c_2Eoption_2EOPTION__MAP2 @ X2 @ X0 @ X1 @ X3 @ (c_2Eoption_2ESOME @ X0 @ X5) @ c_2Eoption_2ENONE @ X1))))),
% 0.76/0.41 inference(ennf_transformation,[],[f38])).
% 0.76/0.41 thf(f43,plain,(
% 0.76/0.41 ! [X0 : $tType,X1 : $tType,X2 : $tType,X3 : (X0 > X1 > X2),X4 : tyop_2Eoption_2Eoption @ X1,X5 : tyop_2Eoption_2Eoption @ X0] : (((c_2Ebool_2ECOND @ tyop_2Eoption_2Eoption @ X2 @ (c_2Ebool_2E_2F_5C @ (c_2Eoption_2EIS__SOME @ X0 @ X5) @ (c_2Eoption_2EIS__SOME @ X1 @ X4)) @ (c_2Eoption_2ESOME @ X2 @ (X3 @ (c_2Eoption_2ETHE @ X0 @ X5) @ (c_2Eoption_2ETHE @ X1 @ X4))) @ c_2Eoption_2ENONE @ X2)) = ((c_2Eoption_2EOPTION__MAP2 @ X2 @ X0 @ X1 @ X3 @ X5 @ X4)))),
% 0.76/0.41 inference(rectify,[],[f40])).
% 0.76/0.41 thf(f46,plain,(
% 0.76/0.41 ? [X0 : $tType,X1 : $tType,X2 : $tType,X3 : X2,X4 : X1,X5 : (X2 > X1 > X0)] : ((c_2Eoption_2ENONE @ X0 != ((c_2Eoption_2EOPTION__MAP2 @ X0 @ X2 @ X1 @ X5 @ c_2Eoption_2ENONE @ X2 @ c_2Eoption_2ENONE @ X1))) | (((c_2Eoption_2EOPTION__MAP2 @ X0 @ X2 @ X1 @ X5 @ (c_2Eoption_2ESOME @ X2 @ X3) @ (c_2Eoption_2ESOME @ X1 @ X4))) != ((c_2Eoption_2ESOME @ X0 @ (X5 @ X3 @ X4)))) | (c_2Eoption_2ENONE @ X0 != ((c_2Eoption_2EOPTION__MAP2 @ X0 @ X2 @ X1 @ X5 @ c_2Eoption_2ENONE @ X2 @ (c_2Eoption_2ESOME @ X1 @ X4)))) | (c_2Eoption_2ENONE @ X0 != ((c_2Eoption_2EOPTION__MAP2 @ X0 @ X2 @ X1 @ X5 @ (c_2Eoption_2ESOME @ X2 @ X3) @ c_2Eoption_2ENONE @ X1))))),
% 0.76/0.41 inference(rectify,[],[f42])).
% 0.76/0.41 thf(f47,plain,(
% 0.76/0.41 (((c_2Eoption_2EOPTION__MAP2 @ sK0 @ sK2 @ sK1 @ sK5 @ c_2Eoption_2ENONE @ sK2 @ c_2Eoption_2ENONE @ sK1)) != c_2Eoption_2ENONE @ sK0) | (((c_2Eoption_2ESOME @ sK0 @ (sK5 @ sK3 @ sK4))) != ((c_2Eoption_2EOPTION__MAP2 @ sK0 @ sK2 @ sK1 @ sK5 @ (c_2Eoption_2ESOME @ sK2 @ sK3) @ (c_2Eoption_2ESOME @ sK1 @ sK4)))) | (c_2Eoption_2ENONE @ sK0 != ((c_2Eoption_2EOPTION__MAP2 @ sK0 @ sK2 @ sK1 @ sK5 @ c_2Eoption_2ENONE @ sK2 @ (c_2Eoption_2ESOME @ sK1 @ sK4)))) | (((c_2Eoption_2EOPTION__MAP2 @ sK0 @ sK2 @ sK1 @ sK5 @ (c_2Eoption_2ESOME @ sK2 @ sK3) @ c_2Eoption_2ENONE @ sK1)) != c_2Eoption_2ENONE @ sK0)),
% 0.76/0.41 inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5)],[f46])).
% 0.76/0.41 thf(f48,plain,(
% 0.76/0.41 ! [X1 : $o,X0 : $o] : ((($true = ((c_2Ebool_2E_2F_5C @ X1 @ X0))) | (($true != X1) | ($true != X0))) & ((($true = X1) & ($true = X0)) | ($true != ((c_2Ebool_2E_2F_5C @ X1 @ X0)))))),
% 0.76/0.41 inference(nnf_transformation,[],[f29])).
% 0.76/0.41 thf(f49,plain,(
% 0.76/0.41 ! [X1 : $o,X0 : $o] : ((($true = ((c_2Ebool_2E_2F_5C @ X1 @ X0))) | ($true != X1) | ($true != X0)) & ((($true = X1) & ($true = X0)) | ($true != ((c_2Ebool_2E_2F_5C @ X1 @ X0)))))),
% 0.76/0.41 inference(flattening,[],[f48])).
% 0.76/0.41 thf(f50,plain,(
% 0.76/0.41 ! [X0 : $o,X1 : $o] : ((($true = ((c_2Ebool_2E_2F_5C @ X0 @ X1))) | ($true != X0) | ($true != X1)) & ((($true = X0) & ($true = X1)) | ($true != ((c_2Ebool_2E_2F_5C @ X0 @ X1)))))),
% 0.76/0.41 inference(rectify,[],[f49])).
% 0.76/0.41 thf(f51,plain,(
% 0.76/0.41 ! [X0 : $tType,X1 : X0,X2 : X0] : ((((c_2Ebool_2ECOND @ X0 @ c_2Ebool_2EF @ X1 @ X2)) = X2) & (((c_2Ebool_2ECOND @ X0 @ c_2Ebool_2ET @ X1 @ X2)) = X1))),
% 0.76/0.41 inference(rectify,[],[f41])).
% 0.76/0.41 thf(f52,plain,(
% 0.76/0.41 ! [X0 : $o] : ((((($true = X0) & (c_2Ebool_2EF = $true)) | (c_2Ebool_2EF != $true)) & ((c_2Ebool_2EF = $true) | (($true != X0) | (c_2Ebool_2EF != $true)))) & ((((c_2Ebool_2EF = $true) & ($true = X0)) | (c_2Ebool_2EF != $true)) & ((c_2Ebool_2EF = $true) | ((c_2Ebool_2EF != $true) | ($true != X0)))) & ((($true = X0) | (($true != X0) | (c_2Ebool_2ET != $true))) & ((($true = X0) & (c_2Ebool_2ET = $true)) | ($true != X0))) & ((($true = X0) | (($true != X0) | ($true != X0))) & ((($true = X0) & ($true = X0)) | ($true != X0))) & (((($true = X0) & (c_2Ebool_2ET = $true)) | ($true != X0)) & (($true = X0) | (($true != X0) | (c_2Ebool_2ET != $true)))))),
% 0.76/0.41 inference(nnf_transformation,[],[f33])).
% 0.76/0.41 thf(f53,plain,(
% 0.76/0.41 ! [X0 : $o] : (((($true = X0) & (c_2Ebool_2EF = $true)) | (c_2Ebool_2EF != $true)) & ((c_2Ebool_2EF = $true) | ($true != X0) | (c_2Ebool_2EF != $true)) & (((c_2Ebool_2EF = $true) & ($true = X0)) | (c_2Ebool_2EF != $true)) & ((c_2Ebool_2EF = $true) | (c_2Ebool_2EF != $true) | ($true != X0)) & (($true = X0) | ($true != X0) | (c_2Ebool_2ET != $true)) & ((($true = X0) & (c_2Ebool_2ET = $true)) | ($true != X0)) & (($true = X0) | ($true != X0) | ($true != X0)) & ((($true = X0) & ($true = X0)) | ($true != X0)) & ((($true = X0) & (c_2Ebool_2ET = $true)) | ($true != X0)) & (($true = X0) | ($true != X0) | (c_2Ebool_2ET != $true)))),
% 0.76/0.41 inference(flattening,[],[f52])).
% 0.76/0.41 thf(f54,plain,(
% 0.76/0.41 ( ! [X1 : $tType,X0 : $tType,X2 : $tType,X3 : (X0 > X1 > X2),X4 : tyop_2Eoption_2Eoption @ X1,X5 : tyop_2Eoption_2Eoption @ X0] : ((((c_2Ebool_2ECOND @ tyop_2Eoption_2Eoption @ X2 @ (c_2Ebool_2E_2F_5C @ (c_2Eoption_2EIS__SOME @ X0 @ X5) @ (c_2Eoption_2EIS__SOME @ X1 @ X4)) @ (c_2Eoption_2ESOME @ X2 @ (X3 @ (c_2Eoption_2ETHE @ X0 @ X5) @ (c_2Eoption_2ETHE @ X1 @ X4))) @ c_2Eoption_2ENONE @ X2)) = ((c_2Eoption_2EOPTION__MAP2 @ X2 @ X0 @ X1 @ X3 @ X5 @ X4)))) )),
% 0.76/0.41 inference(cnf_transformation,[],[f43])).
% 0.76/0.41 thf(f59,plain,(
% 0.76/0.41 ( ! [X0 : $tType,X1 : X0] : ((c_2Ebool_2ET = ((c_2Eoption_2EIS__SOME @ X0 @ (c_2Eoption_2ESOME @ X0 @ X1))))) )),
% 0.76/0.41 inference(cnf_transformation,[],[f13])).
% 0.76/0.41 thf(f60,plain,(
% 0.76/0.41 ( ! [X0 : $tType] : ((c_2Ebool_2EF = ((c_2Eoption_2EIS__SOME @ X0 @ c_2Eoption_2ENONE @ X0)))) )),
% 0.76/0.41 inference(cnf_transformation,[],[f13])).
% 0.76/0.41 thf(f61,plain,(
% 0.76/0.41 (((c_2Eoption_2ESOME @ sK0 @ (sK5 @ sK3 @ sK4))) != ((c_2Eoption_2EOPTION__MAP2 @ sK0 @ sK2 @ sK1 @ sK5 @ (c_2Eoption_2ESOME @ sK2 @ sK3) @ (c_2Eoption_2ESOME @ sK1 @ sK4)))) | (((c_2Eoption_2EOPTION__MAP2 @ sK0 @ sK2 @ sK1 @ sK5 @ (c_2Eoption_2ESOME @ sK2 @ sK3) @ c_2Eoption_2ENONE @ sK1)) != c_2Eoption_2ENONE @ sK0) | (((c_2Eoption_2EOPTION__MAP2 @ sK0 @ sK2 @ sK1 @ sK5 @ c_2Eoption_2ENONE @ sK2 @ c_2Eoption_2ENONE @ sK1)) != c_2Eoption_2ENONE @ sK0) | (c_2Eoption_2ENONE @ sK0 != ((c_2Eoption_2EOPTION__MAP2 @ sK0 @ sK2 @ sK1 @ sK5 @ c_2Eoption_2ENONE @ sK2 @ (c_2Eoption_2ESOME @ sK1 @ sK4))))),
% 0.76/0.41 inference(cnf_transformation,[],[f47])).
% 0.76/0.41 thf(f62,plain,(
% 0.76/0.41 ( ! [X0 : $o,X1 : $o] : (($true != ((c_2Ebool_2E_2F_5C @ X0 @ X1))) | ($true = X1)) )),
% 0.76/0.41 inference(cnf_transformation,[],[f50])).
% 0.76/0.41 thf(f63,plain,(
% 0.76/0.41 ( ! [X0 : $o,X1 : $o] : (($true != ((c_2Ebool_2E_2F_5C @ X0 @ X1))) | ($true = X0)) )),
% 0.76/0.41 inference(cnf_transformation,[],[f50])).
% 0.76/0.41 thf(f64,plain,(
% 0.76/0.41 ( ! [X0 : $o,X1 : $o] : (($true = ((c_2Ebool_2E_2F_5C @ X0 @ X1))) | ($true != X0) | ($true != X1)) )),
% 0.76/0.41 inference(cnf_transformation,[],[f50])).
% 0.76/0.41 thf(f65,plain,(
% 0.76/0.41 ( ! [X0 : $tType,X2 : X0,X1 : X0] : ((((c_2Ebool_2ECOND @ X0 @ c_2Ebool_2ET @ X1 @ X2)) = X1)) )),
% 0.76/0.41 inference(cnf_transformation,[],[f51])).
% 0.76/0.41 thf(f66,plain,(
% 0.76/0.41 ( ! [X0 : $tType,X2 : X0,X1 : X0] : ((((c_2Ebool_2ECOND @ X0 @ c_2Ebool_2EF @ X1 @ X2)) = X2)) )),
% 0.76/0.41 inference(cnf_transformation,[],[f51])).
% 0.76/0.41 thf(f81,plain,(
% 0.76/0.41 ( ! [X0 : $o] : ((c_2Ebool_2EF != $true) | ($true = X0)) )),
% 0.76/0.41 inference(cnf_transformation,[],[f53])).
% 0.76/0.41 thf(f82,plain,(
% 0.76/0.41 (c_2Ebool_2ET = $true)),
% 0.76/0.41 inference(cnf_transformation,[],[f35])).
% 0.76/0.41 thf(f83,plain,(
% 0.76/0.41 ( ! [X0 : $tType,X1 : X0] : ((((c_2Eoption_2ETHE @ X0 @ (c_2Eoption_2ESOME @ X0 @ X1))) = X1)) )),
% 0.76/0.41 inference(cnf_transformation,[],[f14])).
% 0.76/0.41 thf(f85,definition,(
% 0.76/0.41 ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
% 0.76/0.41 introduced(theory,[fool_exhaustiveness_axiom])).
% 0.76/0.41 thf(f88,plain,(
% 0.76/0.41 ( ! [X0 : $tType,X1 : X0] : ((((c_2Eoption_2EIS__SOME @ X0 @ (c_2Eoption_2ESOME @ X0 @ X1))) = $true)) )),
% 0.76/0.41 inference(definition_unfolding,[],[f59,f82])).
% 0.76/0.41 thf(f89,plain,(
% 0.76/0.41 ( ! [X0 : $tType,X2 : X0,X1 : X0] : ((((c_2Ebool_2ECOND @ X0 @ $true @ X1 @ X2)) = X1)) )),
% 0.76/0.41 inference(definition_unfolding,[],[f65,f82])).
% 0.76/0.41 thf(f95,plain,(
% 0.76/0.41 ( ! [X1 : $o] : (($true = ((c_2Ebool_2E_2F_5C @ $true @ X1))) | ($true != X1)) )),
% 0.76/0.41 inference(equality_resolution,[],[f64])).
% 0.76/0.41 thf(f96,plain,(
% 0.76/0.41 ($true = ((c_2Ebool_2E_2F_5C @ $true @ $true)))),
% 0.76/0.41 inference(equality_resolution,[],[f95])).
% 0.76/0.41 thf(f108,plain,(
% 0.76/0.41 ( ! [X0 : $tType] : ((c_2Ebool_2EF = $true) | (((c_2Eoption_2EIS__SOME @ X0 @ c_2Eoption_2ENONE @ X0)) = $false)) )),
% 0.76/0.41 inference(iff_proxy_clausification,[],[f60])).
% 0.76/0.41 thf(f111,definition,(
% 0.76/0.41 spl6_1 <=> (c_2Eoption_2ENONE @ sK0 = ((c_2Eoption_2EOPTION__MAP2 @ sK0 @ sK2 @ sK1 @ sK5 @ c_2Eoption_2ENONE @ sK2 @ (c_2Eoption_2ESOME @ sK1 @ sK4))))),
% 0.76/0.41 introduced(definition,[new_symbols(definition,[spl6_1])],[avatar_definition])).
% 0.76/0.41 thf(f113,plain,(
% 0.76/0.41 (c_2Eoption_2ENONE @ sK0 != ((c_2Eoption_2EOPTION__MAP2 @ sK0 @ sK2 @ sK1 @ sK5 @ c_2Eoption_2ENONE @ sK2 @ (c_2Eoption_2ESOME @ sK1 @ sK4)))) | spl6_1),
% 0.76/0.41 inference(avatar_component_clause,[],[f111])).
% 0.76/0.41 thf(f115,definition,(
% 0.76/0.41 spl6_2 <=> (((c_2Eoption_2ESOME @ sK0 @ (sK5 @ sK3 @ sK4))) = ((c_2Eoption_2EOPTION__MAP2 @ sK0 @ sK2 @ sK1 @ sK5 @ (c_2Eoption_2ESOME @ sK2 @ sK3) @ (c_2Eoption_2ESOME @ sK1 @ sK4))))),
% 0.76/0.41 introduced(definition,[new_symbols(definition,[spl6_2])],[avatar_definition])).
% 0.76/0.41 thf(f117,plain,(
% 0.76/0.41 (((c_2Eoption_2ESOME @ sK0 @ (sK5 @ sK3 @ sK4))) != ((c_2Eoption_2EOPTION__MAP2 @ sK0 @ sK2 @ sK1 @ sK5 @ (c_2Eoption_2ESOME @ sK2 @ sK3) @ (c_2Eoption_2ESOME @ sK1 @ sK4)))) | spl6_2),
% 0.76/0.41 inference(avatar_component_clause,[],[f115])).
% 0.76/0.41 thf(f119,definition,(
% 0.76/0.41 spl6_3 <=> (((c_2Eoption_2EOPTION__MAP2 @ sK0 @ sK2 @ sK1 @ sK5 @ (c_2Eoption_2ESOME @ sK2 @ sK3) @ c_2Eoption_2ENONE @ sK1)) = c_2Eoption_2ENONE @ sK0)),
% 0.76/0.41 introduced(definition,[new_symbols(definition,[spl6_3])],[avatar_definition])).
% 0.76/0.41 thf(f121,plain,(
% 0.76/0.41 (((c_2Eoption_2EOPTION__MAP2 @ sK0 @ sK2 @ sK1 @ sK5 @ (c_2Eoption_2ESOME @ sK2 @ sK3) @ c_2Eoption_2ENONE @ sK1)) != c_2Eoption_2ENONE @ sK0) | spl6_3),
% 0.76/0.41 inference(avatar_component_clause,[],[f119])).
% 0.76/0.41 thf(f123,definition,(
% 0.76/0.41 spl6_4 <=> (((c_2Eoption_2EOPTION__MAP2 @ sK0 @ sK2 @ sK1 @ sK5 @ c_2Eoption_2ENONE @ sK2 @ c_2Eoption_2ENONE @ sK1)) = c_2Eoption_2ENONE @ sK0)),
% 0.76/0.41 introduced(definition,[new_symbols(definition,[spl6_4])],[avatar_definition])).
% 0.76/0.41 thf(f125,plain,(
% 0.76/0.41 (((c_2Eoption_2EOPTION__MAP2 @ sK0 @ sK2 @ sK1 @ sK5 @ c_2Eoption_2ENONE @ sK2 @ c_2Eoption_2ENONE @ sK1)) != c_2Eoption_2ENONE @ sK0) | spl6_4),
% 0.76/0.41 inference(avatar_component_clause,[],[f123])).
% 0.76/0.41 thf(f126,plain,(
% 0.76/0.41 ~spl6_1 | ~spl6_2 | ~spl6_3 | ~spl6_4),
% 0.76/0.41 inference(avatar_split_clause,[],[f61,f123,f119,f115,f111])).
% 0.76/0.41 thf(f128,definition,(
% 0.76/0.41 spl6_5 <=> (c_2Ebool_2EF = $true)),
% 0.76/0.41 introduced(definition,[new_symbols(definition,[spl6_5])],[avatar_definition])).
% 0.76/0.41 thf(f130,plain,(
% 0.76/0.41 (c_2Ebool_2EF != $true) | spl6_5),
% 0.76/0.41 inference(avatar_component_clause,[],[f128])).
% 0.76/0.41 thf(f132,definition,(
% 0.76/0.41 spl6_6 <=> ! [X0 : $o] : ($true = X0)),
% 0.76/0.41 introduced(definition,[new_symbols(definition,[spl6_6])],[avatar_definition])).
% 0.76/0.41 thf(f133,plain,(
% 0.76/0.41 ( ! [X0 : $o] : (($true = X0)) ) | ~spl6_6),
% 0.76/0.41 inference(avatar_component_clause,[],[f132])).
% 0.76/0.41 thf(f136,definition,(
% 0.76/0.41 spl6_7 <=> (c_2Ebool_2EF = $false)),
% 0.76/0.41 introduced(definition,[new_symbols(definition,[spl6_7])],[avatar_definition])).
% 0.76/0.41 thf(f137,plain,(
% 0.76/0.41 (c_2Ebool_2EF != $false) | spl6_7),
% 0.76/0.41 inference(avatar_component_clause,[],[f136])).
% 0.76/0.41 thf(f138,plain,(
% 0.76/0.41 (c_2Ebool_2EF = $false) | ~spl6_7),
% 0.76/0.41 inference(avatar_component_clause,[],[f136])).
% 0.76/0.41 thf(f144,definition,(
% 0.76/0.41 spl6_9 <=> ! [X0 : $tType] : (((c_2Eoption_2EIS__SOME @ X0 @ c_2Eoption_2ENONE @ X0)) = $false)),
% 0.76/0.41 introduced(definition,[new_symbols(definition,[spl6_9])],[avatar_definition])).
% 0.76/0.41 thf(f145,plain,(
% 0.76/0.41 ( ! [X0 : $tType] : ((((c_2Eoption_2EIS__SOME @ X0 @ c_2Eoption_2ENONE @ X0)) = $false)) ) | ~spl6_9),
% 0.76/0.41 inference(avatar_component_clause,[],[f144])).
% 0.76/0.41 thf(f146,plain,(
% 0.76/0.41 spl6_9 | spl6_5),
% 0.76/0.41 inference(avatar_split_clause,[],[f108,f128,f144])).
% 0.76/0.41 thf(f147,plain,(
% 0.76/0.41 spl6_6 | ~spl6_5),
% 0.76/0.41 inference(avatar_split_clause,[],[f81,f128,f132])).
% 0.76/0.41 thf(f152,plain,(
% 0.76/0.41 ($false = $true) | (~spl6_6 | ~spl6_7)),
% 0.76/0.41 inference(forward_demodulation,[],[f138,f133])).
% 0.76/0.41 thf(f153,plain,(
% 0.76/0.41 $false | (~spl6_6 | ~spl6_7)),
% 0.76/0.41 inference(trivial_inequality_removal,[],[f152])).
% 0.76/0.41 thf(f154,plain,(
% 0.76/0.41 ~spl6_6 | ~spl6_7),
% 0.76/0.41 inference(avatar_contradiction_clause,[],[f153])).
% 0.76/0.41 thf(f163,plain,(
% 0.76/0.41 ($false != $true) | (~spl6_6 | spl6_7)),
% 0.76/0.41 inference(forward_demodulation,[],[f137,f133])).
% 0.76/0.41 thf(f164,plain,(
% 0.76/0.41 $false | (~spl6_6 | spl6_7)),
% 0.76/0.41 inference(forward_subsumption_resolution,[],[f163,f133])).
% 0.76/0.41 thf(f165,plain,(
% 0.76/0.41 ~spl6_6 | spl6_7),
% 0.76/0.41 inference(avatar_contradiction_clause,[],[f164])).
% 0.76/0.41 thf(f169,plain,(
% 0.76/0.41 ( ! [X1 : $tType,X0 : $tType,X3 : $tType,X2 : X1,X4 : tyop_2Eoption_2Eoption @ X3,X5 : (X1 > X3 > X0)] : ((((c_2Eoption_2EOPTION__MAP2 @ X0 @ X1 @ X3 @ X5 @ (c_2Eoption_2ESOME @ X1 @ X2) @ X4)) = ((c_2Ebool_2ECOND @ tyop_2Eoption_2Eoption @ X0 @ (c_2Ebool_2E_2F_5C @ $true @ (c_2Eoption_2EIS__SOME @ X3 @ X4)) @ (c_2Eoption_2ESOME @ X0 @ (X5 @ (c_2Eoption_2ETHE @ X1 @ (c_2Eoption_2ESOME @ X1 @ X2)) @ (c_2Eoption_2ETHE @ X3 @ X4))) @ c_2Eoption_2ENONE @ X0)))) )),
% 0.76/0.41 inference(superposition,[],[f54,f88])).
% 0.76/0.41 thf(f170,plain,(
% 0.76/0.41 ( ! [X1 : $tType,X0 : $tType,X3 : $tType,X2 : tyop_2Eoption_2Eoption @ X1,X4 : X3,X5 : (X1 > X3 > X0)] : ((((c_2Ebool_2ECOND @ tyop_2Eoption_2Eoption @ X0 @ (c_2Ebool_2E_2F_5C @ (c_2Eoption_2EIS__SOME @ X1 @ X2) @ $true) @ (c_2Eoption_2ESOME @ X0 @ (X5 @ (c_2Eoption_2ETHE @ X1 @ X2) @ (c_2Eoption_2ETHE @ X3 @ (c_2Eoption_2ESOME @ X3 @ X4)))) @ c_2Eoption_2ENONE @ X0)) = ((c_2Eoption_2EOPTION__MAP2 @ X0 @ X1 @ X3 @ X5 @ X2 @ (c_2Eoption_2ESOME @ X3 @ X4))))) )),
% 0.76/0.41 inference(superposition,[],[f54,f88])).
% 0.76/0.41 thf(f171,plain,(
% 0.76/0.41 ( ! [X1 : $tType,X0 : $tType,X3 : $tType,X2 : tyop_2Eoption_2Eoption @ X1,X4 : X3,X5 : (X1 > X3 > X0)] : ((((c_2Ebool_2ECOND @ tyop_2Eoption_2Eoption @ X0 @ (c_2Ebool_2E_2F_5C @ (c_2Eoption_2EIS__SOME @ X1 @ X2) @ $true) @ (c_2Eoption_2ESOME @ X0 @ (X5 @ (c_2Eoption_2ETHE @ X1 @ X2) @ X4)) @ c_2Eoption_2ENONE @ X0)) = ((c_2Eoption_2EOPTION__MAP2 @ X0 @ X1 @ X3 @ X5 @ X2 @ (c_2Eoption_2ESOME @ X3 @ X4))))) )),
% 0.76/0.41 inference(forward_demodulation,[],[f170,f83])).
% 0.76/0.41 thf(f172,plain,(
% 0.76/0.41 ( ! [X1 : $tType,X0 : $tType,X3 : $tType,X2 : X1,X4 : tyop_2Eoption_2Eoption @ X3,X5 : (X1 > X3 > X0)] : ((((c_2Eoption_2EOPTION__MAP2 @ X0 @ X1 @ X3 @ X5 @ (c_2Eoption_2ESOME @ X1 @ X2) @ X4)) = ((c_2Ebool_2ECOND @ tyop_2Eoption_2Eoption @ X0 @ (c_2Ebool_2E_2F_5C @ $true @ (c_2Eoption_2EIS__SOME @ X3 @ X4)) @ (c_2Eoption_2ESOME @ X0 @ (X5 @ X2 @ (c_2Eoption_2ETHE @ X3 @ X4))) @ c_2Eoption_2ENONE @ X0)))) )),
% 0.76/0.41 inference(forward_demodulation,[],[f169,f83])).
% 0.76/0.41 thf(f177,plain,(
% 0.76/0.41 ($true != $true) | (c_2Ebool_2EF = $false) | spl6_5),
% 0.76/0.41 inference(superposition,[],[f130,f85])).
% 0.76/0.41 thf(f186,plain,(
% 0.76/0.41 (c_2Ebool_2EF = $false) | spl6_5),
% 0.76/0.41 inference(trivial_inequality_removal,[],[f177])).
% 0.76/0.41 thf(f197,plain,(
% 0.76/0.41 spl6_7 | spl6_5),
% 0.76/0.41 inference(avatar_split_clause,[],[f186,f128,f136])).
% 0.76/0.41 thf(f198,plain,(
% 0.76/0.41 ( ! [X0 : $o,X1 : $o] : (($true = X1) | ($false = ((c_2Ebool_2E_2F_5C @ X0 @ X1))) | ($true != $true)) )),
% 0.76/0.41 inference(superposition,[],[f62,f85])).
% 0.76/0.41 thf(f199,plain,(
% 0.76/0.41 ( ! [X0 : $o,X1 : $o] : (($false = ((c_2Ebool_2E_2F_5C @ X0 @ X1))) | ($true = X1)) )),
% 0.76/0.41 inference(trivial_inequality_removal,[],[f198])).
% 0.76/0.41 thf(f203,plain,(
% 0.76/0.41 ( ! [X0 : $o,X1 : $o] : (($true != $true) | ($true = X0) | ($false = ((c_2Ebool_2E_2F_5C @ X0 @ X1)))) )),
% 0.76/0.41 inference(superposition,[],[f63,f85])).
% 0.76/0.41 thf(f204,plain,(
% 0.76/0.41 ( ! [X0 : $o,X1 : $o] : (($false = ((c_2Ebool_2E_2F_5C @ X0 @ X1))) | ($true = X0)) )),
% 0.76/0.41 inference(trivial_inequality_removal,[],[f203])).
% 0.76/0.41 thf(f207,plain,(
% 0.76/0.41 ( ! [X0 : $tType,X2 : X0,X1 : X0] : ((((c_2Ebool_2ECOND @ X0 @ $false @ X1 @ X2)) = X2)) ) | ~spl6_7),
% 0.76/0.41 inference(forward_demodulation,[],[f66,f138])).
% 0.76/0.41 thf(f235,plain,(
% 0.76/0.41 ( ! [X1 : $tType,X0 : $tType,X3 : $tType,X2 : tyop_2Eoption_2Eoption @ X1,X4 : tyop_2Eoption_2Eoption @ X3,X5 : (X1 > X3 > X0)] : (($true = ((c_2Eoption_2EIS__SOME @ X1 @ X2))) | (((c_2Ebool_2ECOND @ tyop_2Eoption_2Eoption @ X0 @ $false @ (c_2Eoption_2ESOME @ X0 @ (X5 @ (c_2Eoption_2ETHE @ X1 @ X2) @ (c_2Eoption_2ETHE @ X3 @ X4))) @ c_2Eoption_2ENONE @ X0)) = ((c_2Eoption_2EOPTION__MAP2 @ X0 @ X1 @ X3 @ X5 @ X2 @ X4)))) )),
% 0.76/0.41 inference(superposition,[],[f54,f204])).
% 0.76/0.41 thf(f241,plain,(
% 0.76/0.41 ( ! [X1 : $tType,X0 : $tType,X3 : $tType,X2 : tyop_2Eoption_2Eoption @ X1,X4 : tyop_2Eoption_2Eoption @ X3,X5 : (X1 > X3 > X0)] : ((c_2Eoption_2ENONE @ X0 = ((c_2Eoption_2EOPTION__MAP2 @ X0 @ X1 @ X3 @ X5 @ X2 @ X4))) | ($true = ((c_2Eoption_2EIS__SOME @ X1 @ X2)))) ) | ~spl6_7),
% 0.76/0.41 inference(forward_demodulation,[],[f235,f207])).
% 0.76/0.41 thf(f349,plain,(
% 0.76/0.41 ( ! [X1 : $tType,X0 : $tType,X3 : $tType,X2 : X1,X4 : (X1 > X3 > X0),X5 : X3] : ((((c_2Ebool_2ECOND @ tyop_2Eoption_2Eoption @ X0 @ (c_2Ebool_2E_2F_5C @ $true @ $true) @ (c_2Eoption_2ESOME @ X0 @ (X4 @ (c_2Eoption_2ETHE @ X1 @ (c_2Eoption_2ESOME @ X1 @ X2)) @ X5)) @ c_2Eoption_2ENONE @ X0)) = ((c_2Eoption_2EOPTION__MAP2 @ X0 @ X1 @ X3 @ X4 @ (c_2Eoption_2ESOME @ X1 @ X2) @ (c_2Eoption_2ESOME @ X3 @ X5))))) )),
% 0.76/0.41 inference(superposition,[],[f171,f88])).
% 0.76/0.41 thf(f360,plain,(
% 0.76/0.41 ( ! [X1 : $tType,X0 : $tType,X3 : $tType,X2 : X1,X4 : (X1 > X3 > X0),X5 : X3] : ((((c_2Eoption_2EOPTION__MAP2 @ X0 @ X1 @ X3 @ X4 @ (c_2Eoption_2ESOME @ X1 @ X2) @ (c_2Eoption_2ESOME @ X3 @ X5))) = ((c_2Ebool_2ECOND @ tyop_2Eoption_2Eoption @ X0 @ $true @ (c_2Eoption_2ESOME @ X0 @ (X4 @ (c_2Eoption_2ETHE @ X1 @ (c_2Eoption_2ESOME @ X1 @ X2)) @ X5)) @ c_2Eoption_2ENONE @ X0)))) )),
% 0.76/0.41 inference(forward_demodulation,[],[f349,f96])).
% 0.76/0.41 thf(f363,plain,(
% 0.76/0.41 ( ! [X1 : $tType,X0 : $tType,X3 : $tType,X2 : X1,X4 : (X1 > X3 > X0),X5 : X3] : ((((c_2Eoption_2EOPTION__MAP2 @ X0 @ X1 @ X3 @ X4 @ (c_2Eoption_2ESOME @ X1 @ X2) @ (c_2Eoption_2ESOME @ X3 @ X5))) = ((c_2Eoption_2ESOME @ X0 @ (X4 @ (c_2Eoption_2ETHE @ X1 @ (c_2Eoption_2ESOME @ X1 @ X2)) @ X5))))) )),
% 0.76/0.41 inference(forward_demodulation,[],[f360,f89])).
% 0.76/0.41 thf(f366,plain,(
% 0.76/0.41 ( ! [X1 : $tType,X0 : $tType,X3 : $tType,X2 : X1,X4 : (X1 > X3 > X0),X5 : X3] : ((((c_2Eoption_2EOPTION__MAP2 @ X0 @ X1 @ X3 @ X4 @ (c_2Eoption_2ESOME @ X1 @ X2) @ (c_2Eoption_2ESOME @ X3 @ X5))) = ((c_2Eoption_2ESOME @ X0 @ (X4 @ X2 @ X5))))) )),
% 0.76/0.41 inference(forward_demodulation,[],[f363,f83])).
% 0.76/0.41 thf(f390,plain,(
% 0.76/0.41 ( ! [X1 : $tType,X0 : $tType,X2 : $tType,X3 : (X2 > X0 > X1),X4 : X2,X5 : tyop_2Eoption_2Eoption @ X0] : ((((c_2Ebool_2ECOND @ tyop_2Eoption_2Eoption @ X1 @ $false @ (c_2Eoption_2ESOME @ X1 @ (X3 @ X4 @ (c_2Eoption_2ETHE @ X0 @ X5))) @ c_2Eoption_2ENONE @ X1)) = ((c_2Eoption_2EOPTION__MAP2 @ X1 @ X2 @ X0 @ X3 @ (c_2Eoption_2ESOME @ X2 @ X4) @ X5))) | (((c_2Eoption_2EIS__SOME @ X0 @ X5)) = $true)) )),
% 0.76/0.41 inference(superposition,[],[f172,f199])).
% 0.76/0.41 thf(f397,plain,(
% 0.76/0.41 ( ! [X1 : $tType,X0 : $tType,X2 : $tType,X3 : (X2 > X0 > X1),X4 : X2,X5 : tyop_2Eoption_2Eoption @ X0] : ((c_2Eoption_2ENONE @ X1 = ((c_2Eoption_2EOPTION__MAP2 @ X1 @ X2 @ X0 @ X3 @ (c_2Eoption_2ESOME @ X2 @ X4) @ X5))) | (((c_2Eoption_2EIS__SOME @ X0 @ X5)) = $true)) ) | ~spl6_7),
% 0.76/0.41 inference(forward_demodulation,[],[f390,f207])).
% 0.76/0.41 thf(f421,plain,(
% 0.76/0.41 ($true = ((c_2Eoption_2EIS__SOME @ sK1 @ c_2Eoption_2ENONE @ sK1))) | (c_2Eoption_2ENONE @ sK0 != c_2Eoption_2ENONE @ sK0) | (spl6_3 | ~spl6_7)),
% 0.76/0.41 inference(superposition,[],[f121,f397])).
% 0.76/0.41 thf(f425,plain,(
% 0.76/0.41 ($true = ((c_2Eoption_2EIS__SOME @ sK1 @ c_2Eoption_2ENONE @ sK1))) | (spl6_3 | ~spl6_7)),
% 0.76/0.41 inference(trivial_inequality_removal,[],[f421])).
% 0.76/0.41 thf(f426,plain,(
% 0.76/0.41 ($false = $true) | (spl6_3 | ~spl6_7 | ~spl6_9)),
% 0.76/0.41 inference(forward_demodulation,[],[f425,f145])).
% 0.76/0.41 thf(f427,plain,(
% 0.76/0.41 $false | (spl6_3 | ~spl6_7 | ~spl6_9)),
% 0.76/0.41 inference(trivial_inequality_removal,[],[f426])).
% 0.76/0.41 thf(f428,plain,(
% 0.76/0.41 spl6_3 | ~spl6_7 | ~spl6_9),
% 0.76/0.41 inference(avatar_contradiction_clause,[],[f427])).
% 0.76/0.41 thf(f429,plain,(
% 0.76/0.41 ($true = ((c_2Eoption_2EIS__SOME @ sK2 @ c_2Eoption_2ENONE @ sK2))) | (c_2Eoption_2ENONE @ sK0 != c_2Eoption_2ENONE @ sK0) | (spl6_1 | ~spl6_7)),
% 0.76/0.41 inference(superposition,[],[f113,f241])).
% 0.76/0.41 thf(f430,plain,(
% 0.76/0.41 ($true = ((c_2Eoption_2EIS__SOME @ sK2 @ c_2Eoption_2ENONE @ sK2))) | (spl6_1 | ~spl6_7)),
% 0.76/0.41 inference(trivial_inequality_removal,[],[f429])).
% 0.76/0.41 thf(f431,plain,(
% 0.76/0.41 ($false = $true) | (spl6_1 | ~spl6_7 | ~spl6_9)),
% 0.76/0.41 inference(forward_demodulation,[],[f430,f145])).
% 0.76/0.41 thf(f432,plain,(
% 0.76/0.41 $false | (spl6_1 | ~spl6_7 | ~spl6_9)),
% 0.76/0.41 inference(trivial_inequality_removal,[],[f431])).
% 0.76/0.41 thf(f433,plain,(
% 0.76/0.41 spl6_1 | ~spl6_7 | ~spl6_9),
% 0.76/0.41 inference(avatar_contradiction_clause,[],[f432])).
% 0.76/0.41 thf(f473,plain,(
% 0.76/0.41 (((c_2Eoption_2ESOME @ sK0 @ (sK5 @ sK3 @ sK4))) != ((c_2Eoption_2ESOME @ sK0 @ (sK5 @ sK3 @ sK4)))) | spl6_2),
% 0.76/0.41 inference(superposition,[],[f117,f366])).
% 0.76/0.41 thf(f478,plain,(
% 0.76/0.41 $false | spl6_2),
% 0.76/0.41 inference(trivial_inequality_removal,[],[f473])).
% 0.76/0.41 thf(f479,plain,(
% 0.76/0.41 spl6_2),
% 0.76/0.41 inference(avatar_contradiction_clause,[],[f478])).
% 0.76/0.41 thf(f492,plain,(
% 0.76/0.41 ($true = ((c_2Eoption_2EIS__SOME @ sK2 @ c_2Eoption_2ENONE @ sK2))) | (c_2Eoption_2ENONE @ sK0 != c_2Eoption_2ENONE @ sK0) | (spl6_4 | ~spl6_7)),
% 0.76/0.41 inference(superposition,[],[f125,f241])).
% 0.76/0.41 thf(f493,plain,(
% 0.76/0.41 ($true = ((c_2Eoption_2EIS__SOME @ sK2 @ c_2Eoption_2ENONE @ sK2))) | (spl6_4 | ~spl6_7)),
% 0.76/0.41 inference(trivial_inequality_removal,[],[f492])).
% 0.76/0.41 thf(f494,plain,(
% 0.76/0.41 ($false = $true) | (spl6_4 | ~spl6_7 | ~spl6_9)),
% 0.76/0.41 inference(forward_demodulation,[],[f493,f145])).
% 0.76/0.41 thf(f495,plain,(
% 0.76/0.41 $false | (spl6_4 | ~spl6_7 | ~spl6_9)),
% 0.76/0.41 inference(trivial_inequality_removal,[],[f494])).
% 0.76/0.41 thf(f496,plain,(
% 0.76/0.41 spl6_4 | ~spl6_7 | ~spl6_9),
% 0.76/0.41 inference(avatar_contradiction_clause,[],[f495])).
% 0.76/0.41 cnf(s1, plain, ~spl6_1 | ~spl6_2 | ~spl6_3 | ~spl6_4, inference(sat_conversion,[],[f126])).
% 0.76/0.41 cnf(s4, plain, spl6_5 | spl6_9, inference(sat_conversion,[],[f146])).
% 0.76/0.41 cnf(s5, plain, ~spl6_5 | spl6_6, inference(sat_conversion,[],[f147])).
% 0.76/0.41 cnf(s6, plain, ~spl6_6 | ~spl6_7, inference(sat_conversion,[],[f154])).
% 0.76/0.41 cnf(s10, plain, ~spl6_6 | spl6_7, inference(sat_conversion,[],[f165])).
% 0.76/0.41 cnf(s12, plain, spl6_5 | spl6_7, inference(sat_conversion,[],[f197])).
% 0.76/0.41 cnf(s15, plain, spl6_3 | ~spl6_7 | ~spl6_9, inference(sat_conversion,[],[f428])).
% 0.76/0.41 cnf(s16, plain, spl6_1 | ~spl6_7 | ~spl6_9, inference(sat_conversion,[],[f433])).
% 0.76/0.41 cnf(s17, plain, spl6_2, inference(sat_conversion,[],[f479])).
% 0.76/0.41 cnf(s18, plain, spl6_4 | ~spl6_7 | ~spl6_9, inference(sat_conversion,[],[f496])).
% 0.76/0.41 cnf(s19, plain, ~spl6_1 | ~spl6_3 | ~spl6_4, inference(rat,[],[s1,s17])).
% 0.76/0.41 cnf(s20, plain, spl6_5 | spl6_4, inference(rat,[],[s18,s4,s12])).
% 0.76/0.41 cnf(s21, plain, ~spl6_6, inference(rat,[],[s6,s10])).
% 0.76/0.41 cnf(s22, plain, ~spl6_5, inference(rat,[],[s5,s21])).
% 0.76/0.41 cnf(s23, plain, spl6_7, inference(rat,[],[s12,s22])).
% 0.76/0.41 cnf(s24, plain, spl6_9, inference(rat,[],[s4,s22])).
% 0.76/0.41 cnf(s25, plain, spl6_4, inference(rat,[],[s20,s22])).
% 0.76/0.41 cnf(s26, plain, spl6_1, inference(rat,[],[s16,s23,s24])).
% 0.76/0.41 cnf(s28, plain, spl6_3, inference(rat,[],[s15,s23,s24])).
% 0.76/0.41 cnf(s29, plain, $false, inference(rat,[],[s19,s25,s26,s28])).
% 0.76/0.41 thf(f497,plain,(
% 0.76/0.41 $false),
% 0.76/0.41 inference(avatar_sat_refutation,[],[s29])).
% 0.76/0.41 % SZS output end Proof for theBenchmark
% 0.76/0.41 % (1177811)------------------------------
% 0.76/0.41 % (1177811)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.41 % (1177811)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.41 % (1177811)CaDiCaL version: 2.1.3
% 0.76/0.41 % (1177811)Termination reason: Refutation
% 0.76/0.41 % (1177811)Time elapsed: 0.041 s
% 0.76/0.41 % (1177811)Peak memory usage: 13 MB
% 0.76/0.41 % (1177811)Instructions burned: 67 (million)
% 0.76/0.41 % (1177771)Success in time 0.156 s
% 0.76/0.41 % Vampire exiting
%------------------------------------------------------------------------------