%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU632^1 : TPTP v9.3.1. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n026.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 08:30:25 AM UTC 2026
% Result : Theorem 1.53s 0.58s
% Output : Refutation 1.53s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU632^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.18 % Computer : n026.cluster.edu
% 0.10/0.18 % Model : x86_64 x86_64
% 0.10/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.18 % Memory : 8046.5625MB
% 0.10/0.18 % OS : Linux 6.8.0-71-generic
% 0.10/0.18 % CPULimit : 300
% 0.10/0.18 % WCLimit : 300
% 0.10/0.18 % DateTime : Tue Sep 29 14:03:08 UTC 2026
% 0.10/0.18 % CPUTime :
% 0.10/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.22 Running higher-order theorem proving
% 0.10/0.26 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
% 0.71/0.40 % (647374)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.71/0.40 % (647384)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3628095998:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.71/0.40 % (647385)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.71/0.40 % (647385)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
% 0.71/0.40 % (647380)lrs+10_16_si=on:nwc=1.5:random_seed=2256377748:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.71/0.40 % (647379)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2528470499:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.71/0.40 % (647381)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=4126409922:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.71/0.40 % (647385)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=2016632625:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.71/0.40 % (647383)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=343151287:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.71/0.40 % (647382)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=1433134413: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)
% 0.71/0.40 % (647381)Instruction limit reached!
% 0.71/0.40 % (647381)------------------------------
% 0.71/0.40 % (647381)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.40 % (647381)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.40 % (647381)CaDiCaL version: 2.1.3
% 0.71/0.40 % (647381)Termination reason: Instruction limit
% 0.71/0.40 % (647381)Termination phase: shuffling
% 0.71/0.40 % (647381)Time elapsed: 0.002 s
% 0.71/0.40 % (647381)Peak memory usage: 10 MB
% 0.71/0.40 % (647381)Instructions burned: 4 (million)
% 0.71/0.40 % (647380)Instruction limit reached!
% 0.71/0.40 % (647380)------------------------------
% 0.71/0.40 % (647380)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.40 % (647380)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.40 % (647380)CaDiCaL version: 2.1.3
% 0.71/0.40 % (647380)Termination reason: Instruction limit
% 0.71/0.40 % (647380)Termination phase: Property scanning
% 0.71/0.40 % (647380)Time elapsed: 0.009 s
% 0.71/0.40 % (647380)Peak memory usage: 10 MB
% 0.71/0.40 % (647380)Instructions burned: 19 (million)
% 0.71/0.40 % (647384)Instruction limit reached!
% 0.71/0.40 % (647384)------------------------------
% 0.71/0.40 % (647384)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.40 % (647384)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.40 % (647384)CaDiCaL version: 2.1.3
% 0.71/0.40 % (647384)Termination reason: Instruction limit
% 0.71/0.40 % (647384)Termination phase: Property scanning
% 0.71/0.40 % (647384)Time elapsed: 0.019 s
% 0.71/0.40 % (647384)Peak memory usage: 12 MB
% 0.71/0.40 % (647384)Instructions burned: 76 (million)
% 0.71/0.40 % (647383)Instruction limit reached!
% 0.71/0.40 % (647383)------------------------------
% 0.71/0.40 % (647383)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.40 % (647383)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.40 % (647383)CaDiCaL version: 2.1.3
% 0.71/0.40 % (647383)Termination reason: Instruction limit
% 0.71/0.40 % (647383)Termination phase: Preprocessing 3
% 0.71/0.40 % (647383)Time elapsed: 0.012 s
% 0.71/0.40 % (647383)Peak memory usage: 11 MB
% 0.71/0.40 % (647383)Instructions burned: 26 (million)
% 0.71/0.40 % (647395)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.71/0.40 % (647393)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1863464982:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.71/0.40 % (647395)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=490791768:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.71/0.44 % (647393)Instruction limit reached!
% 0.71/0.44 % (647393)------------------------------
% 0.71/0.44 % (647393)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.44 % (647393)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.44 % (647393)CaDiCaL version: 2.1.3
% 0.71/0.44 % (647393)Termination reason: Instruction limit
% 0.71/0.44 % (647393)Termination phase: shuffling
% 0.71/0.44 % (647393)Time elapsed: 0.002 s
% 0.71/0.44 % (647393)Peak memory usage: 10 MB
% 0.71/0.44 % (647393)Instructions burned: 4 (million)
% 0.71/0.44 % (647395)Instruction limit reached!
% 0.71/0.44 % (647395)------------------------------
% 0.71/0.44 % (647395)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.44 % (647395)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.44 % (647395)CaDiCaL version: 2.1.3
% 0.71/0.44 % (647395)Termination reason: Instruction limit
% 0.71/0.44 % (647395)Termination phase: shuffling
% 0.71/0.44 % (647395)Time elapsed: 0.002 s
% 0.71/0.44 % (647395)Peak memory usage: 10 MB
% 0.71/0.44 % (647395)Instructions burned: 11 (million)
% 0.71/0.44 % (647394)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1406120829:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.71/0.44 % (647394)Instruction limit reached!
% 0.71/0.44 % (647394)------------------------------
% 0.71/0.44 % (647394)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.44 % (647394)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.44 % (647394)CaDiCaL version: 2.1.3
% 0.71/0.44 % (647394)Termination reason: Instruction limit
% 0.71/0.44 % (647394)Termination phase: shuffling
% 0.71/0.44 % (647394)Time elapsed: 0.003 s
% 0.71/0.44 % (647394)Peak memory usage: 10 MB
% 0.71/0.44 % (647394)Instructions burned: 7 (million)
% 0.71/0.44 % (647396)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3105386475:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.71/0.44 % (647400)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=2481681594:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.71/0.44 % (647396)Instruction limit reached!
% 0.71/0.44 % (647396)------------------------------
% 0.71/0.44 % (647396)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.44 % (647396)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.44 % (647396)CaDiCaL version: 2.1.3
% 0.71/0.44 % (647396)Termination reason: Instruction limit
% 0.71/0.44 % (647396)Termination phase: shuffling
% 0.71/0.44 % (647396)Time elapsed: 0.005 s
% 0.71/0.44 % (647396)Peak memory usage: 10 MB
% 0.71/0.44 % (647396)Instructions burned: 12 (million)
% 0.71/0.44 % (647399)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
% 0.71/0.44 % (647399)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.71/0.44 % (647399)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1661579858:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.71/0.44 % (647402)lrs+10_1_si=on:cs=on:random_seed=1502045617:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.71/0.44 % (647405)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.71/0.44 % (647402)Instruction limit reached!
% 0.71/0.44 % (647402)------------------------------
% 0.71/0.44 % (647402)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.44 % (647402)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.44 % (647402)CaDiCaL version: 2.1.3
% 0.71/0.44 % (647402)Termination reason: Instruction limit
% 0.71/0.44 % (647402)Termination phase: shuffling
% 0.71/0.44 % (647402)Time elapsed: 0.004 s
% 0.71/0.44 % (647402)Peak memory usage: 10 MB
% 0.71/0.44 % (647402)Instructions burned: 8 (million)
% 0.71/0.48 % (647405)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=1940860850:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.71/0.48 % (647399)Instruction limit reached!
% 0.71/0.48 % (647399)------------------------------
% 0.71/0.48 % (647399)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.48 % (647399)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.48 % (647399)CaDiCaL version: 2.1.3
% 0.71/0.48 % (647399)Termination reason: Instruction limit
% 0.71/0.48 % (647399)Termination phase: Property scanning
% 0.71/0.48 % (647399)Time elapsed: 0.013 s
% 0.71/0.48 % (647399)Peak memory usage: 10 MB
% 0.71/0.48 % (647399)Instructions burned: 30 (million)
% 0.71/0.48 % (647405)Instruction limit reached!
% 0.71/0.48 % (647405)------------------------------
% 0.71/0.48 % (647405)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.48 % (647405)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.48 % (647405)CaDiCaL version: 2.1.3
% 0.71/0.48 % (647405)Termination reason: Instruction limit
% 0.71/0.48 % (647405)Termination phase: shuffling
% 0.71/0.48 % (647405)Time elapsed: 0.003 s
% 0.71/0.48 % (647405)Peak memory usage: 10 MB
% 0.71/0.48 % (647405)Instructions burned: 6 (million)
% 0.71/0.48 % (647400)Instruction limit reached!
% 0.71/0.48 % (647400)------------------------------
% 0.71/0.48 % (647400)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.48 % (647400)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.48 % (647400)CaDiCaL version: 2.1.3
% 0.71/0.48 % (647400)Termination reason: Instruction limit
% 0.71/0.48 % (647400)Termination phase: Saturation
% 0.71/0.48 % (647400)Time elapsed: 0.024 s
% 0.71/0.48 % (647400)Peak memory usage: 12 MB
% 0.71/0.48 % (647400)Instructions burned: 88 (million)
% 0.71/0.48 % (647379)Instruction limit reached!
% 0.71/0.48 % (647379)------------------------------
% 0.71/0.48 % (647379)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.48 % (647379)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.48 % (647379)CaDiCaL version: 2.1.3
% 0.71/0.48 % (647379)Termination reason: Instruction limit
% 0.71/0.48 % (647379)Termination phase: Saturation
% 0.71/0.48 % (647379)Time elapsed: 0.064 s
% 0.71/0.48 % (647379)Peak memory usage: 12 MB
% 0.71/0.48 % (647379)Instructions burned: 88 (million)
% 0.71/0.48 % (647385)Instruction limit reached!
% 0.71/0.48 % (647385)------------------------------
% 0.71/0.48 % (647385)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.48 % (647385)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.48 % (647385)CaDiCaL version: 2.1.3
% 0.71/0.48 % (647385)Termination reason: Instruction limit
% 0.71/0.48 % (647385)Termination phase: Saturation
% 0.71/0.48 % (647385)Time elapsed: 0.066 s
% 0.71/0.48 % (647385)Peak memory usage: 14 MB
% 0.71/0.48 % (647385)Instructions burned: 158 (million)
% 0.71/0.48 % (647413)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=256418528:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.71/0.48 % (647410)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=3269640149:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 0.71/0.48 % (647412)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=2528487602:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.71/0.48 % (647414)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=3636858727:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 0.71/0.48 % (647412)Instruction limit reached!
% 0.71/0.48 % (647412)------------------------------
% 0.71/0.48 % (647412)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.48 % (647412)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.48 % (647412)CaDiCaL version: 2.1.3
% 0.71/0.48 % (647412)Termination reason: Instruction limit
% 0.71/0.48 % (647412)Termination phase: shuffling
% 0.71/0.48 % (647412)Time elapsed: 0.007 s
% 0.71/0.48 % (647412)Peak memory usage: 10 MB
% 0.71/0.48 % (647412)Instructions burned: 16 (million)
% 0.71/0.48 % (647408)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=2411922758:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 1.53/0.53 % (647414)Instruction limit reached!
% 1.53/0.53 % (647414)------------------------------
% 1.53/0.53 % (647414)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.53/0.53 % (647414)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.53/0.53 % (647414)CaDiCaL version: 2.1.3
% 1.53/0.53 % (647414)Termination reason: Instruction limit
% 1.53/0.53 % (647414)Termination phase: shuffling
% 1.53/0.53 % (647414)Time elapsed: 0.007 s
% 1.53/0.53 % (647414)Peak memory usage: 10 MB
% 1.53/0.53 % (647414)Instructions burned: 15 (million)
% 1.53/0.53 % (647411)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2482599209:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.53/0.53 % (647420)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=1772774940: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)
% 1.53/0.53 % (647408)Instruction limit reached!
% 1.53/0.53 % (647408)------------------------------
% 1.53/0.53 % (647408)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.53/0.53 % (647408)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.53/0.53 % (647408)CaDiCaL version: 2.1.3
% 1.53/0.53 % (647408)Termination reason: Instruction limit
% 1.53/0.53 % (647408)Termination phase: Preprocessing 3
% 1.53/0.53 % (647408)Time elapsed: 0.020 s
% 1.53/0.53 % (647408)Peak memory usage: 12 MB
% 1.53/0.53 % (647408)Instructions burned: 39 (million)
% 1.53/0.53 % (647420)Instruction limit reached!
% 1.53/0.53 % (647420)------------------------------
% 1.53/0.53 % (647420)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.53/0.53 % (647420)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.53/0.53 % (647420)CaDiCaL version: 2.1.3
% 1.53/0.53 % (647420)Termination reason: Instruction limit
% 1.53/0.53 % (647420)Termination phase: shuffling
% 1.53/0.53 % (647420)Time elapsed: 0.002 s
% 1.53/0.53 % (647420)Peak memory usage: 10 MB
% 1.53/0.53 % (647420)Instructions burned: 4 (million)
% 1.53/0.53 % (647411)Instruction limit reached!
% 1.53/0.53 % (647411)------------------------------
% 1.53/0.53 % (647411)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.53/0.53 % (647411)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.53/0.53 % (647411)CaDiCaL version: 2.1.3
% 1.53/0.53 % (647411)Termination reason: Instruction limit
% 1.53/0.53 % (647411)Termination phase: Preprocessing 3
% 1.53/0.53 % (647411)Time elapsed: 0.012 s
% 1.53/0.53 % (647411)Peak memory usage: 11 MB
% 1.53/0.53 % (647411)Instructions burned: 26 (million)
% 1.53/0.53 % (647421)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3851350735:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.53/0.53 % (647421)Instruction limit reached!
% 1.53/0.53 % (647421)------------------------------
% 1.53/0.53 % (647421)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.53/0.53 % (647421)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.53/0.53 % (647421)CaDiCaL version: 2.1.3
% 1.53/0.53 % (647421)Termination reason: Instruction limit
% 1.53/0.53 % (647421)Termination phase: Property scanning
% 1.53/0.53 % (647421)Time elapsed: 0.012 s
% 1.53/0.53 % (647421)Peak memory usage: 10 MB
% 1.53/0.53 % (647421)Instructions burned: 28 (million)
% 1.53/0.53 % (647427)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
% 1.53/0.53 % (647427)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.53/0.53 % (647424)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=375688778:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.53/0.53 % (647425)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=2627247382:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.53/0.53 % (647427)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=2835039867:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.53/0.58 % (647427)Instruction limit reached!
% 1.53/0.58 % (647427)------------------------------
% 1.53/0.58 % (647427)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.53/0.58 % (647427)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.53/0.58 % (647427)CaDiCaL version: 2.1.3
% 1.53/0.58 % (647427)Termination reason: Instruction limit
% 1.53/0.58 % (647427)Termination phase: shuffling
% 1.53/0.58 % (647427)Time elapsed: 0.006 s
% 1.53/0.58 % (647427)Peak memory usage: 10 MB
% 1.53/0.58 % (647427)Instructions burned: 14 (million)
% 1.53/0.58 % (647428)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.53/0.58 % (647424)Instruction limit reached!
% 1.53/0.58 % (647424)------------------------------
% 1.53/0.58 % (647424)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.53/0.58 % (647424)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.53/0.58 % (647424)CaDiCaL version: 2.1.3
% 1.53/0.58 % (647424)Termination reason: Instruction limit
% 1.53/0.58 % (647424)Termination phase: Property scanning
% 1.53/0.58 % (647424)Time elapsed: 0.010 s
% 1.53/0.58 % (647424)Peak memory usage: 10 MB
% 1.53/0.58 % (647424)Instructions burned: 23 (million)
% 1.53/0.58 % (647428)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=685753986:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.53/0.58 % (647428)Instruction limit reached!
% 1.53/0.58 % (647428)------------------------------
% 1.53/0.58 % (647428)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.53/0.58 % (647428)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.53/0.58 % (647428)CaDiCaL version: 2.1.3
% 1.53/0.58 % (647428)Termination reason: Instruction limit
% 1.53/0.58 % (647428)Termination phase: shuffling
% 1.53/0.58 % (647428)Time elapsed: 0.004 s
% 1.53/0.58 % (647428)Peak memory usage: 10 MB
% 1.53/0.58 % (647428)Instructions burned: 9 (million)
% 1.53/0.58 % (647432)dis+1004_50_to=lpo:drc=off:fde=unused:cnfonf=lazy_not_gen_be_off:si=on:sp=reverse_arity:spb=units:cbe=off:foolp=on:random_seed=1615293994:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.53/0.58 % (647433)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=2920819367:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 1.53/0.58 % (647413)Instruction limit reached!
% 1.53/0.58 % (647413)------------------------------
% 1.53/0.58 % (647413)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.53/0.58 % (647413)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.53/0.58 % (647413)CaDiCaL version: 2.1.3
% 1.53/0.58 % (647413)Termination reason: Instruction limit
% 1.53/0.58 % (647413)Termination phase: Saturation
% 1.53/0.58 % (647413)Time elapsed: 0.084 s
% 1.53/0.58 % (647413)Peak memory usage: 15 MB
% 1.53/0.58 % (647413)Instructions burned: 329 (million)
% 1.53/0.58 % (647433)Instruction limit reached!
% 1.53/0.58 % (647433)------------------------------
% 1.53/0.58 % (647433)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.53/0.58 % (647433)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.53/0.58 % (647433)CaDiCaL version: 2.1.3
% 1.53/0.58 % (647433)Termination reason: Instruction limit
% 1.53/0.58 % (647433)Termination phase: shuffling
% 1.53/0.58 % (647433)Time elapsed: 0.004 s
% 1.53/0.58 % (647433)Peak memory usage: 10 MB
% 1.53/0.58 % (647433)Instructions burned: 8 (million)
% 1.53/0.58 % (647435)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=4079366309:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.53/0.58 % (647432)Instruction limit reached!
% 1.53/0.58 % (647432)------------------------------
% 1.53/0.58 % (647432)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.53/0.58 % (647432)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.53/0.58 % (647432)CaDiCaL version: 2.1.3
% 1.53/0.58 % (647432)Termination reason: Instruction limit
% 1.53/0.58 % (647432)Termination phase: Property scanning
% 1.53/0.58 % (647432)Time elapsed: 0.013 s
% 1.53/0.58 % (647432)Peak memory usage: 10 MB
% 1.53/0.58 % (647432)Instructions burned: 31 (million)
% 1.53/0.58 % (647438)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3544774394:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/20Mi)
% 1.53/0.58 % (647435)Instruction limit reached!
% 1.53/0.58 % (647435)------------------------------
% 1.53/0.58 % (647435)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.53/0.58 % (647425)Instruction limit reached!
% 1.53/0.58 % (647425)------------------------------
% 1.53/0.58 % (647425)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.53/0.58 % (647425)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.53/0.58 % (647425)CaDiCaL version: 2.1.3
% 1.53/0.58 % (647425)Termination reason: Instruction limit
% 1.53/0.58 % (647425)Termination phase: Property scanning
% 1.53/0.58 % (647425)Time elapsed: 0.047 s
% 1.53/0.58 % (647425)Peak memory usage: 12 MB
% 1.53/0.58 % (647425)Instructions burned: 62 (million)
% 1.53/0.58 % (647438)Instruction limit reached!
% 1.53/0.58 % (647438)------------------------------
% 1.53/0.58 % (647438)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.53/0.58 % (647438)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.53/0.58 % (647438)CaDiCaL version: 2.1.3
% 1.53/0.58 % (647438)Termination reason: Instruction limit
% 1.53/0.58 % (647438)Termination phase: Property scanning
% 1.53/0.58 % (647438)Time elapsed: 0.005 s
% 1.53/0.58 % (647438)Peak memory usage: 10 MB
% 1.53/0.58 % (647438)Instructions burned: 22 (million)
% 1.53/0.58 % (647435)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.53/0.58 % (647435)CaDiCaL version: 2.1.3
% 1.53/0.58 % (647435)Termination reason: Instruction limit
% 1.53/0.58 % (647435)Termination phase: Property scanning
% 1.53/0.58 % (647435)Time elapsed: 0.010 s
% 1.53/0.58 % (647435)Peak memory usage: 10 MB
% 1.53/0.58 % (647435)Instructions burned: 24 (million)
% 1.53/0.58 % (647439)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=1176373716:i=1240:rtra=on:ixr=off_2997 on theBenchmark for (2997ds/1240Mi)
% 1.53/0.58 % (647443)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=3623901362:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 1.53/0.58 % (647441)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=784353895:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/143Mi)
% 1.53/0.58 % (647444)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=661513794:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 1.53/0.58 % (647410)Instruction limit reached!
% 1.53/0.58 % (647410)------------------------------
% 1.53/0.58 % (647410)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.53/0.58 % (647410)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.53/0.58 % (647410)CaDiCaL version: 2.1.3
% 1.53/0.58 % (647410)Termination reason: Instruction limit
% 1.53/0.58 % (647410)Termination phase: Saturation
% 1.53/0.58 % (647410)Time elapsed: 0.123 s
% 1.53/0.58 % (647410)Peak memory usage: 14 MB
% 1.53/0.58 % (647410)Instructions burned: 250 (million)
% 1.53/0.58 % (647446)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.53/0.58 % (647446)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3191895176:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 1.53/0.58 % (647444)Instruction limit reached!
% 1.53/0.58 % (647444)------------------------------
% 1.53/0.58 % (647444)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.53/0.58 % (647444)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.53/0.58 % (647444)CaDiCaL version: 2.1.3
% 1.53/0.58 % (647444)Termination reason: Instruction limit
% 1.53/0.58 % (647444)Termination phase: Property scanning
% 1.53/0.58 % (647444)Time elapsed: 0.018 s
% 1.53/0.58 % (647444)Peak memory usage: 11 MB
% 1.53/0.58 % (647444)Instructions burned: 43 (million)
% 1.53/0.58 % (647446)Instruction limit reached!
% 1.53/0.58 % (647446)------------------------------
% 1.53/0.58 % (647446)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.53/0.58 % (647446)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.53/0.58 % (647446)CaDiCaL version: 2.1.3
% 1.53/0.58 % (647446)Termination reason: Instruction limit
% 1.53/0.58 % (647446)Termination phase: shuffling
% 1.53/0.58 % (647446)Time elapsed: 0.006 s
% 1.53/0.58 % (647446)Peak memory usage: 10 MB
% 1.53/0.58 % (647446)Instructions burned: 7 (million)
% 1.53/0.58 % (647450)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=478483638:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 1.53/0.58 % (647452)dis+10_8_sil=128000:plsq=on:plsqc=1:si=on:sp=unary_first:sos=on:lma=off:plsqr=64,1:uwa=interpreted_only:foolp=on:random_seed=2619673658:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2997 on theBenchmark for (2997ds/169Mi)
% 1.53/0.58 % (647453)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 1.53/0.58 % (647443)Instruction limit reached!
% 1.53/0.58 % (647443)------------------------------
% 1.53/0.58 % (647443)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.53/0.58 % (647443)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.53/0.58 % (647443)CaDiCaL version: 2.1.3
% 1.53/0.58 % (647443)Termination reason: Instruction limit
% 1.53/0.58 % (647443)Termination phase: Saturation
% 1.53/0.58 % (647443)Time elapsed: 0.050 s
% 1.53/0.58 % (647443)Peak memory usage: 14 MB
% 1.53/0.58 % (647443)Instructions burned: 195 (million)
% 1.53/0.58 % (647453)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=829943593:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 1.53/0.58 % (647453)Instruction limit reached!
% 1.53/0.58 % (647453)------------------------------
% 1.53/0.58 % (647453)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.53/0.58 % (647453)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.53/0.58 % (647453)CaDiCaL version: 2.1.3
% 1.53/0.58 % (647453)Termination reason: Instruction limit
% 1.53/0.58 % (647453)Termination phase: shuffling
% 1.53/0.58 % (647453)Time elapsed: 0.003 s
% 1.53/0.58 % (647453)Peak memory usage: 10 MB
% 1.53/0.58 % (647453)Instructions burned: 7 (million)
% 1.53/0.58 % (647456)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=668868415:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2997 on theBenchmark for (2997ds/22Mi)
% 1.53/0.58 % (647441)Instruction limit reached!
% 1.53/0.58 % (647441)------------------------------
% 1.53/0.58 % (647441)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.53/0.58 % (647441)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.53/0.58 % (647441)CaDiCaL version: 2.1.3
% 1.53/0.58 % (647441)Termination reason: Instruction limit
% 1.53/0.58 % (647441)Termination phase: Saturation
% 1.53/0.58 % (647441)Time elapsed: 0.062 s
% 1.53/0.58 % (647441)Peak memory usage: 14 MB
% 1.53/0.58 % (647441)Instructions burned: 144 (million)
% 1.53/0.58 % (647456)Instruction limit reached!
% 1.53/0.58 % (647456)------------------------------
% 1.53/0.58 % (647456)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.53/0.58 % (647456)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.53/0.58 % (647456)CaDiCaL version: 2.1.3
% 1.53/0.58 % (647456)Termination reason: Instruction limit
% 1.53/0.58 % (647456)Termination phase: Property scanning
% 1.53/0.58 % (647456)Time elapsed: 0.006 s
% 1.53/0.58 % (647456)Peak memory usage: 10 MB
% 1.53/0.58 % (647456)Instructions burned: 24 (million)
% 1.53/0.58 % (647382) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-647374-647382"...
% 1.53/0.58 % (647382)...printing done.
% 1.53/0.58 % (647382)Refutation found. Thanks to Tanya!
% 1.53/0.58 % SZS status Theorem for theBenchmark
% 1.53/0.58 % SZS output start Proof for theBenchmark
% 1.53/0.58 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 1.53/0.58 thf(func_def_0, type, in: ($i > $i > $o)).
% 1.53/0.58 thf(func_def_1, type, exu: (($i > $o) > $o)).
% 1.53/0.58 thf(func_def_3, type, setextAx: $o).
% 1.53/0.58 thf(func_def_5, type, emptysetAx: $o).
% 1.53/0.58 thf(func_def_6, type, setadjoin: ($i > $i > $i)).
% 1.53/0.58 thf(func_def_7, type, setadjoinAx: $o).
% 1.53/0.58 thf(func_def_8, type, powerset: ($i > $i)).
% 1.53/0.58 thf(func_def_9, type, powersetAx: $o).
% 1.53/0.58 thf(func_def_10, type, setunion: ($i > $i)).
% 1.53/0.58 thf(func_def_11, type, setunionAx: $o).
% 1.53/0.58 thf(func_def_13, type, omega0Ax: $o).
% 1.53/0.58 thf(func_def_14, type, omegaSAx: $o).
% 1.53/0.58 thf(func_def_15, type, omegaIndAx: $o).
% 1.53/0.58 thf(func_def_16, type, replAx: $o).
% 1.53/0.58 thf(func_def_17, type, foundationAx: $o).
% 1.53/0.58 thf(func_def_18, type, wellorderingAx: $o).
% 1.53/0.58 thf(func_def_19, type, descr: (($i > $o) > $i)).
% 1.53/0.58 thf(func_def_20, type, descrp: $o).
% 1.53/0.58 thf(func_def_21, type, dsetconstr: ($i > ($i > $o) > $i)).
% 1.53/0.58 thf(func_def_22, type, dsetconstrI: $o).
% 1.53/0.58 thf(func_def_23, type, dsetconstrEL: $o).
% 1.53/0.58 thf(func_def_24, type, dsetconstrER: $o).
% 1.53/0.58 thf(func_def_25, type, exuE1: $o).
% 1.53/0.58 thf(func_def_26, type, prop2set: ($o > $i)).
% 1.53/0.58 thf(func_def_27, type, prop2setE: $o).
% 1.53/0.58 thf(func_def_28, type, emptysetE: $o).
% 1.53/0.58 thf(func_def_29, type, emptysetimpfalse: $o).
% 1.53/0.58 thf(func_def_30, type, notinemptyset: $o).
% 1.53/0.58 thf(func_def_31, type, exuE3e: $o).
% 1.53/0.58 thf(func_def_32, type, setext: $o).
% 1.53/0.58 thf(func_def_33, type, emptyI: $o).
% 1.53/0.58 thf(func_def_34, type, noeltsimpempty: $o).
% 1.53/0.58 thf(func_def_35, type, setbeta: $o).
% 1.53/0.58 thf(func_def_36, type, nonempty: ($i > $o)).
% 1.53/0.58 thf(func_def_37, type, nonemptyE1: $o).
% 1.53/0.58 thf(func_def_38, type, nonemptyI: $o).
% 1.53/0.58 thf(func_def_39, type, nonemptyI1: $o).
% 1.53/0.58 thf(func_def_40, type, setadjoinIL: $o).
% 1.53/0.58 thf(func_def_41, type, emptyinunitempty: $o).
% 1.53/0.58 thf(func_def_42, type, setadjoinIR: $o).
% 1.53/0.58 thf(func_def_43, type, setadjoinE: $o).
% 1.53/0.58 thf(func_def_44, type, setadjoinOr: $o).
% 1.53/0.58 thf(func_def_45, type, setoftrueEq: $o).
% 1.53/0.58 thf(func_def_46, type, powersetI: $o).
% 1.53/0.58 thf(func_def_47, type, emptyinPowerset: $o).
% 1.53/0.58 thf(func_def_48, type, emptyInPowerset: $o).
% 1.53/0.58 thf(func_def_49, type, powersetE: $o).
% 1.53/0.58 thf(func_def_50, type, setunionI: $o).
% 1.53/0.58 thf(func_def_51, type, setunionE: $o).
% 1.53/0.58 thf(func_def_52, type, subPowSU: $o).
% 1.53/0.58 thf(func_def_53, type, exuE2: $o).
% 1.53/0.58 thf(func_def_54, type, nonemptyImpWitness: $o).
% 1.53/0.58 thf(func_def_55, type, uniqinunit: $o).
% 1.53/0.58 thf(func_def_56, type, notinsingleton: $o).
% 1.53/0.58 thf(func_def_57, type, eqinunit: $o).
% 1.53/0.58 thf(func_def_58, type, singletonsswitch: $o).
% 1.53/0.58 thf(func_def_59, type, upairsetE: $o).
% 1.53/0.58 thf(func_def_60, type, upairsetIL: $o).
% 1.53/0.58 thf(func_def_61, type, upairsetIR: $o).
% 1.53/0.58 thf(func_def_62, type, emptyE1: $o).
% 1.53/0.58 thf(func_def_63, type, vacuousDall: $o).
% 1.53/0.58 thf(func_def_64, type, quantDeMorgan1: $o).
% 1.53/0.58 thf(func_def_65, type, quantDeMorgan2: $o).
% 1.53/0.58 thf(func_def_66, type, quantDeMorgan3: $o).
% 1.53/0.58 thf(func_def_67, type, quantDeMorgan4: $o).
% 1.53/0.58 thf(func_def_68, type, prop2setI: $o).
% 1.53/0.58 thf(func_def_69, type, set2prop: ($i > $o)).
% 1.53/0.58 thf(func_def_70, type, prop2set2propI: $o).
% 1.53/0.58 thf(func_def_71, type, notdexE: $o).
% 1.53/0.58 thf(func_def_72, type, notdallE: $o).
% 1.53/0.58 thf(func_def_73, type, exuI1: $o).
% 1.53/0.58 thf(func_def_74, type, exuI3: $o).
% 1.53/0.58 thf(func_def_75, type, exuI2: $o).
% 1.53/0.58 thf(func_def_76, type, inCongP: $o).
% 1.53/0.58 thf(func_def_77, type, in__Cong: $o).
% 1.53/0.58 thf(func_def_78, type, exuE3u: $o).
% 1.53/0.58 thf(func_def_79, type, exu__Cong: $o).
% 1.53/0.58 thf(func_def_80, type, emptyset__Cong: $o).
% 1.53/0.58 thf(func_def_81, type, setadjoin__Cong: $o).
% 1.53/0.58 thf(func_def_82, type, powerset__Cong: $o).
% 1.53/0.58 thf(func_def_83, type, setunion__Cong: $o).
% 1.53/0.58 thf(func_def_84, type, omega__Cong: $o).
% 1.53/0.58 thf(func_def_85, type, exuEu: $o).
% 1.53/0.58 thf(func_def_86, type, descr__Cong: $o).
% 1.53/0.58 thf(func_def_87, type, dsetconstr__Cong: $o).
% 1.53/0.58 thf(func_def_88, type, subset: ($i > $i > $o)).
% 1.53/0.58 thf(func_def_89, type, disjoint: ($i > $i > $o)).
% 1.53/0.58 thf(func_def_90, type, setsmeet: ($i > $i > $o)).
% 1.53/0.58 thf(func_def_91, type, subsetI1: $o).
% 1.53/0.58 thf(func_def_92, type, eqimpsubset2: $o).
% 1.53/0.58 thf(func_def_93, type, eqimpsubset1: $o).
% 1.53/0.58 thf(func_def_94, type, subsetI2: $o).
% 1.53/0.58 thf(func_def_95, type, emptysetsubset: $o).
% 1.53/0.58 thf(func_def_96, type, subsetE: $o).
% 1.53/0.58 thf(func_def_97, type, subsetE2: $o).
% 1.53/0.58 thf(func_def_98, type, notsubsetI: $o).
% 1.53/0.58 thf(func_def_99, type, notequalI1: $o).
% 1.53/0.58 thf(func_def_100, type, notequalI2: $o).
% 1.53/0.58 thf(func_def_101, type, subsetRefl: $o).
% 1.53/0.58 thf(func_def_102, type, subsetTrans: $o).
% 1.53/0.58 thf(func_def_103, type, setadjoinSub: $o).
% 1.53/0.58 thf(func_def_104, type, setadjoinSub2: $o).
% 1.53/0.58 thf(func_def_105, type, subset2powerset: $o).
% 1.53/0.58 thf(func_def_106, type, setextsub: $o).
% 1.53/0.58 thf(func_def_107, type, subsetemptysetimpeq: $o).
% 1.53/0.58 thf(func_def_108, type, powersetI1: $o).
% 1.53/0.58 thf(func_def_109, type, powersetE1: $o).
% 1.53/0.58 thf(func_def_110, type, inPowerset: $o).
% 1.53/0.58 thf(func_def_111, type, powersetsubset: $o).
% 1.53/0.58 thf(func_def_112, type, sepInPowerset: $o).
% 1.53/0.58 thf(func_def_113, type, sepSubset: $o).
% 1.53/0.58 thf(func_def_114, type, binunion: ($i > $i > $i)).
% 1.53/0.58 thf(func_def_115, type, binunionIL: $o).
% 1.53/0.58 thf(func_def_116, type, upairset2IR: $o).
% 1.53/0.58 thf(func_def_117, type, binunionIR: $o).
% 1.53/0.58 thf(func_def_118, type, binunionEcases: $o).
% 1.53/0.58 thf(func_def_119, type, binunionE: $o).
% 1.53/0.58 thf(func_def_120, type, binunionLsub: $o).
% 1.53/0.58 thf(func_def_121, type, binunionRsub: $o).
% 1.53/0.58 thf(func_def_122, type, binintersect: ($i > $i > $i)).
% 1.53/0.58 thf(func_def_123, type, binintersectI: $o).
% 1.53/0.58 thf(func_def_124, type, binintersectSubset5: $o).
% 1.53/0.58 thf(func_def_125, type, binintersectEL: $o).
% 1.53/0.58 thf(func_def_126, type, binintersectLsub: $o).
% 1.53/0.58 thf(func_def_127, type, binintersectSubset2: $o).
% 1.53/0.58 thf(func_def_128, type, binintersectSubset3: $o).
% 1.53/0.58 thf(func_def_129, type, binintersectER: $o).
% 1.53/0.58 thf(func_def_130, type, disjointsetsI1: $o).
% 1.53/0.58 thf(func_def_131, type, binintersectRsub: $o).
% 1.53/0.58 thf(func_def_132, type, binintersectSubset4: $o).
% 1.53/0.58 thf(func_def_133, type, binintersectSubset1: $o).
% 1.53/0.58 thf(func_def_134, type, bs114d: $o).
% 1.53/0.58 thf(func_def_135, type, regular: ($i > $o)).
% 1.53/0.58 thf(func_def_136, type, setminus: ($i > $i > $i)).
% 1.53/0.58 thf(func_def_137, type, setminusI: $o).
% 1.53/0.58 thf(func_def_138, type, setminusEL: $o).
% 1.53/0.58 thf(func_def_139, type, setminusER: $o).
% 1.53/0.58 thf(func_def_140, type, setminusSubset2: $o).
% 1.53/0.58 thf(func_def_141, type, setminusERneg: $o).
% 1.53/0.58 thf(func_def_142, type, setminusELneg: $o).
% 1.53/0.58 thf(func_def_143, type, setminusILneg: $o).
% 1.53/0.58 thf(func_def_144, type, setminusIRneg: $o).
% 1.53/0.58 thf(func_def_145, type, setminusLsub: $o).
% 1.53/0.58 thf(func_def_146, type, setminusSubset1: $o).
% 1.53/0.58 thf(func_def_147, type, symdiff: ($i > $i > $i)).
% 1.53/0.58 thf(func_def_148, type, symdiffE: $o).
% 1.53/0.58 thf(func_def_149, type, symdiffI1: $o).
% 1.53/0.58 thf(func_def_150, type, symdiffI2: $o).
% 1.53/0.58 thf(func_def_151, type, symdiffIneg1: $o).
% 1.53/0.58 thf(func_def_152, type, symdiffIneg2: $o).
% 1.53/0.58 thf(func_def_153, type, iskpair: ($i > $o)).
% 1.53/0.58 thf(func_def_154, type, secondinupair: $o).
% 1.53/0.58 thf(func_def_155, type, setukpairIL: $o).
% 1.53/0.58 thf(func_def_156, type, setukpairIR: $o).
% 1.53/0.58 thf(func_def_157, type, kpairiskpair: $o).
% 1.53/0.58 thf(func_def_158, type, kpair: ($i > $i > $i)).
% 1.53/0.58 thf(func_def_159, type, kpairp: $o).
% 1.53/0.58 thf(func_def_160, type, cartprod: ($i > $i > $i)).
% 1.53/0.58 thf(func_def_161, type, singletonsubset: $o).
% 1.53/0.58 thf(func_def_162, type, singletoninpowerset: $o).
% 1.53/0.58 thf(func_def_163, type, singletoninpowunion: $o).
% 1.53/0.58 thf(func_def_164, type, upairset2E: $o).
% 1.53/0.58 thf(func_def_165, type, upairsubunion: $o).
% 1.53/0.58 thf(func_def_166, type, upairinpowunion: $o).
% 1.53/0.58 thf(func_def_167, type, ubforcartprodlem1: $o).
% 1.53/0.58 thf(func_def_168, type, ubforcartprodlem2: $o).
% 1.53/0.58 thf(func_def_169, type, ubforcartprodlem3: $o).
% 1.53/0.58 thf(func_def_170, type, cartprodpairin: $o).
% 1.53/0.58 thf(func_def_171, type, cartprodmempair1: $o).
% 1.53/0.58 thf(func_def_174, type, db0: !>[X0: $tType]:(X0)).
% 1.53/0.58 thf(func_def_175, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 1.53/0.58 thf(func_def_176, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 1.53/0.58 thf(func_def_177, type, vAND: ($o > $o > $o)).
% 1.53/0.58 thf(func_def_178, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 1.53/0.58 thf(func_def_179, type, vIMP: ($o > $o > $o)).
% 1.53/0.58 thf(func_def_180, type, db2: !>[X0: $tType]:(X0)).
% 1.53/0.58 thf(func_def_181, type, db1: !>[X0: $tType]:(X0)).
% 1.53/0.58 thf(func_def_182, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 1.53/0.58 thf(func_def_183, type, vNOT: ($o > $o)).
% 1.53/0.58 thf(func_def_184, type, sP0: ($i > $i > $o)).
% 1.53/0.58 thf(func_def_185, type, sP1: ($i > $o)).
% 1.53/0.58 thf(func_def_186, type, sP2: $o).
% 1.53/0.58 thf(func_def_187, type, sK3: ($i > $o)).
% 1.53/0.58 thf(func_def_196, type, sK12: ($i > $o)).
% 1.53/0.58 thf(func_def_198, type, sK14: ($i > ($i > $o) > $i)).
% 1.53/0.58 thf(func_def_212, type, sK28: ($i > ($i > $o) > $i)).
% 1.53/0.58 thf(func_def_213, type, sK29: ($i > $o)).
% 1.53/0.58 thf(func_def_216, type, sK32: ($i > ($i > $o) > $i)).
% 1.53/0.58 thf(func_def_217, type, sK33: ($i > $o)).
% 1.53/0.58 thf(func_def_227, type, sK43: $o).
% 1.53/0.58 thf(func_def_233, type, sK49: ($i > $o)).
% 1.53/0.58 thf(func_def_244, type, sK60: (($i > $o) > $i)).
% 1.53/0.58 thf(func_def_245, type, sK61: ($i > $o)).
% 1.53/0.58 thf(func_def_251, type, sK67: ($i > $i > $i)).
% 1.53/0.58 thf(func_def_254, type, sK70: (($i > $o) > $i)).
% 1.53/0.58 thf(func_def_255, type, sK71: ($i > $o)).
% 1.53/0.58 thf(func_def_256, type, sK72: ($i > $i)).
% 1.53/0.58 thf(func_def_263, type, sK79: ($i > $o)).
% 1.53/0.58 thf(func_def_267, type, sK83: ($i > $i)).
% 1.53/0.58 thf(func_def_269, type, sK85: ($i > $i)).
% 1.53/0.58 thf(func_def_280, type, sK96: ($i > $o)).
% 1.53/0.58 thf(func_def_283, type, sK99: ($i > ($i > $o) > $i)).
% 1.53/0.58 thf(func_def_284, type, sK100: (($i > $o) > $i > $i)).
% 1.53/0.58 thf(func_def_286, type, sK102: ($i > $o)).
% 1.53/0.58 thf(func_def_288, type, sK104: ($i > ($i > $o) > $i)).
% 1.53/0.58 thf(func_def_289, type, sK105: ($i > $o)).
% 1.53/0.58 thf(func_def_293, type, sK109: ($i > $o)).
% 1.53/0.58 thf(func_def_297, type, sK113: ($i > $o)).
% 1.53/0.58 thf(func_def_323, type, sK139: ($i > $o)).
% 1.53/0.58 thf(func_def_332, type, sK148: ($i > $i)).
% 1.53/0.58 thf(func_def_336, type, sK152: $o).
% 1.53/0.58 thf(func_def_337, type, sK153: ($i > $o)).
% 1.53/0.58 thf(func_def_338, type, sK154: ($i > $o)).
% 1.53/0.58 thf(func_def_339, type, sK155: (($i > $o) > ($i > $o) > $i)).
% 1.53/0.58 thf(func_def_340, type, sK156: (($i > $o) > ($i > $o) > $i)).
% 1.53/0.58 thf(func_def_343, type, sK159: ($i > $o)).
% 1.53/0.58 thf(func_def_346, type, sK162: ($i > $i > $i)).
% 1.53/0.58 thf(func_def_352, type, sK168: ($i > $i > $i)).
% 1.53/0.58 thf(func_def_357, type, sK173: ($i > $i > $i)).
% 1.53/0.58 thf(func_def_358, type, sK174: ($i > $o)).
% 1.53/0.58 thf(func_def_361, type, sK177: ($i > ($i > $o) > $i)).
% 1.53/0.58 thf(func_def_373, type, sK189: $o).
% 1.53/0.58 thf(func_def_376, type, sK192: ($i > $i > $i)).
% 1.53/0.58 thf(func_def_384, type, sK200: ($i > $o)).
% 1.53/0.58 thf(func_def_396, type, sK212: ($i > $i > $i)).
% 1.53/0.58 thf(func_def_397, type, sK213: ($i > $i > $i)).
% 1.53/0.58 thf(func_def_401, type, sK217: ($i > $o)).
% 1.53/0.58 thf(func_def_402, type, sK218: ($o > $i > $i > $i)).
% 1.53/0.58 thf(func_def_405, type, sK221: $o).
% 1.53/0.58 thf(func_def_409, type, sK225: $o).
% 1.53/0.58 thf(func_def_412, type, sK228: (($i > $o) > ($i > $o) > $i > $i > $i)).
% 1.53/0.58 thf(func_def_413, type, sK229: (($i > $o) > ($i > $o) > $i > $i > $i)).
% 1.53/0.58 thf(func_def_416, type, sK232: ($i > $o)).
% 1.53/0.58 thf(func_def_417, type, sK233: ($i > $o)).
% 1.53/0.58 thf(func_def_421, type, sK237: $o).
% 1.53/0.58 thf(func_def_422, type, sK238: ($i > $o)).
% 1.53/0.58 thf(func_def_430, type, sK246: ($i > $i)).
% 1.53/0.58 thf(func_def_431, type, sK247: ($i > $i)).
% 1.53/0.58 thf(func_def_434, type, sK250: ($i > $o)).
% 1.53/0.58 thf(func_def_435, type, sK251: ($i > $o)).
% 1.53/0.58 thf(func_def_436, type, sK252: (($i > $o) > ($i > $o) > $i)).
% 1.53/0.58 thf(func_def_437, type, sK253: (($i > $o) > ($i > $o) > $i)).
% 1.53/0.58 thf(func_def_450, type, sK266: $o).
% 1.53/0.58 thf(func_def_465, type, sK281: ($i > $o)).
% 1.53/0.58 thf(func_def_476, type, sK292: ($i > $i > $i)).
% 1.53/0.58 thf(func_def_482, type, sK298: ($i > $i > $i > $i)).
% 1.53/0.58 thf(func_def_483, type, sK299: ($i > $i > $i > $i)).
% 1.53/0.58 thf(func_def_488, type, sK304: ($i > $o)).
% 1.53/0.58 thf(func_def_490, type, sK306: (($i > $o) > $i)).
% 1.53/0.58 thf(func_def_491, type, sK307: (($i > $o) > $i)).
% 1.53/0.58 thf(func_def_512, type, sK328: ($i > $o)).
% 1.53/0.58 thf(func_def_514, type, sK330: ($i > ($i > $o) > $i)).
% 1.53/0.58 thf(func_def_516, type, sK332: ($i > $i)).
% 1.53/0.58 thf(func_def_518, type, sK334: $o).
% 1.53/0.58 thf(func_def_526, type, sK342: ($i > $i > $i)).
% 1.53/0.58 thf(func_def_541, type, sK357: ($i > $o)).
% 1.53/0.58 thf(func_def_544, type, sK360: ($i > $i)).
% 1.53/0.58 thf(func_def_545, type, sK361: ($i > $i)).
% 1.53/0.58 thf(func_def_546, type, sK362: ($i > $i)).
% 1.53/0.58 thf(func_def_547, type, sK363: ($i > $i)).
% 1.53/0.58 thf(func_def_548, type, sK364: ($i > $i)).
% 1.53/0.58 thf(func_def_549, type, sK365: ($i > $i > $i > $i)).
% 1.53/0.58 thf(func_def_550, type, sK366: ($i > $i)).
% 1.53/0.58 thf(func_def_551, type, sK367: ($i > $i)).
% 1.53/0.58 thf(func_def_552, type, sK368: ($i > $i)).
% 1.53/0.58 thf(func_def_553, type, sK369: ($i > $i)).
% 1.53/0.58 thf(func_def_554, type, sK370: ($i > $i > $i)).
% 1.53/0.58 thf(func_def_555, type, sK371: ($i > $i > $i > $i)).
% 1.53/0.58 thf(func_def_556, type, sK372: ($i > $i > $i > $i)).
% 1.53/0.58 thf(func_def_557, type, sK373: ($i > $i > $i > $i)).
% 1.53/0.58 thf(func_def_558, type, sK374: ($i > $i > $i)).
% 1.53/0.58 thf(func_def_559, type, sK375: ($i > $i > $i)).
% 1.53/0.58 thf(func_def_560, type, sK376: ($i > $i > $i)).
% 1.53/0.58 thf(func_def_561, type, sK377: ($i > $i > $i)).
% 1.53/0.58 thf(func_def_564, type, sK380: ($i > $i > $o)).
% 1.53/0.58 thf(func_def_566, type, sK382: ($i > $i)).
% 1.53/0.58 thf(func_def_567, type, sK383: ($i > $i)).
% 1.53/0.58 thf(func_def_568, type, sK384: ($i > ($i > $i > $o) > $i)).
% 1.53/0.58 thf(func_def_569, type, sK385: ($i > $i > ($i > $i > $o) > $i)).
% 1.53/0.58 thf(func_def_570, type, sK386: ($i > ($i > $i > $o) > $i)).
% 1.53/0.58 thf(func_def_580, type, sK396: ($i > $o)).
% 1.53/0.58 thf(func_def_581, type, sK397: ($i > $i)).
% 1.53/0.58 thf(func_def_582, type, sK398: (($i > $o) > $i)).
% 1.53/0.58 thf(func_def_584, type, sK400: ($i > $i)).
% 1.53/0.58 thf(f141,axiom,(
% 1.53/0.58 (! [X1 : $i,X0 : $i] : (iskpair @ (kpair @ X0 @ X1)) = kpairp)),
% 1.53/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kpairp)).
% 1.53/0.58 thf(f152,axiom,(
% 1.53/0.58 (! [X1 : $i,X2 : $i,X0 : $i] : ((in @ X2 @ (cartprod @ X0 @ X1)) => ? [X3 : $i] : (? [X4 : $i] : ((X2 = ((kpair @ X3 @ X4))) & (in @ X4 @ X1)) & (in @ X3 @ X0))) = cartprodmempair1)),
% 1.53/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cartprodmempair1)).
% 1.53/0.58 thf(f153,conjecture,(
% 1.53/0.58 setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => ! [X1 : $i,X0 : $i,X2 : $i] : ((in @ X2 @ (cartprod @ X0 @ X1)) => (iskpair @ X2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 1.53/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cartprodmempair)).
% 1.53/0.58 thf(f154,negated_conjecture,(
% 1.53/0.58 ~(setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => ! [X1 : $i,X0 : $i,X2 : $i] : ((in @ X2 @ (cartprod @ X0 @ X1)) => (iskpair @ X2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 1.53/0.58 inference(negated_conjecture,[status(cth)],[f153])).
% 1.53/0.58 thf(f244,plain,(
% 1.53/0.58 (! [X0 : $i,X1 : $i] : (iskpair @ (kpair @ X1 @ X0)) = kpairp)),
% 1.53/0.58 inference(rectify,[],[f141])).
% 1.53/0.58 thf(f245,plain,(
% 1.53/0.58 ! [X1 : $i,X0 : $i] : (((iskpair @ (kpair @ X1 @ X0))) = $true) <=> (kpairp = $true)),
% 1.53/0.58 inference(fool_elimination,[],[f244])).
% 1.53/0.58 thf(f414,plain,(
% 1.53/0.58 ~(setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => ! [X0 : $i,X1 : $i,X2 : $i] : ((in @ X2 @ (cartprod @ X1 @ X0)) => (iskpair @ X2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 1.53/0.58 inference(rectify,[],[f154])).
% 1.53/0.58 thf(f415,plain,(
% 1.53/0.58 ~((setextAx = $true) => ((emptysetAx = $true) => ((setadjoinAx = $true) => ((powersetAx = $true) => ((setunionAx = $true) => ((omega0Ax = $true) => ((omegaSAx = $true) => ((omegaIndAx = $true) => ((replAx = $true) => ((foundationAx = $true) => ((wellorderingAx = $true) => ((descrp = $true) => ((dsetconstrI = $true) => ((dsetconstrEL = $true) => ((dsetconstrER = $true) => ((exuE1 = $true) => ((prop2setE = $true) => ((emptysetE = $true) => ((emptysetimpfalse = $true) => ((notinemptyset = $true) => ((exuE3e = $true) => ((setext = $true) => ((emptyI = $true) => ((noeltsimpempty = $true) => ((setbeta = $true) => ((nonemptyE1 = $true) => ((nonemptyI = $true) => ((nonemptyI1 = $true) => ((setadjoinIL = $true) => ((emptyinunitempty = $true) => ((setadjoinIR = $true) => ((setadjoinE = $true) => ((setadjoinOr = $true) => ((setoftrueEq = $true) => ((powersetI = $true) => ((emptyinPowerset = $true) => ((emptyInPowerset = $true) => ((powersetE = $true) => ((setunionI = $true) => ((setunionE = $true) => ((subPowSU = $true) => ((exuE2 = $true) => ((nonemptyImpWitness = $true) => ((uniqinunit = $true) => ((notinsingleton = $true) => ((eqinunit = $true) => ((singletonsswitch = $true) => ((upairsetE = $true) => ((upairsetIL = $true) => ((upairsetIR = $true) => ((emptyE1 = $true) => ((vacuousDall = $true) => ((quantDeMorgan1 = $true) => ((quantDeMorgan2 = $true) => ((quantDeMorgan3 = $true) => ((quantDeMorgan4 = $true) => ((prop2setI = $true) => ((prop2set2propI = $true) => ((notdexE = $true) => ((notdallE = $true) => ((exuI1 = $true) => ((exuI3 = $true) => ((exuI2 = $true) => ((inCongP = $true) => ((in__Cong = $true) => ((exuE3u = $true) => ((exu__Cong = $true) => ((emptyset__Cong = $true) => ((setadjoin__Cong = $true) => ((powerset__Cong = $true) => ((setunion__Cong = $true) => ((omega__Cong = $true) => ((exuEu = $true) => ((descr__Cong = $true) => ((dsetconstr__Cong = $true) => ((subsetI1 = $true) => ((eqimpsubset2 = $true) => ((eqimpsubset1 = $true) => ((subsetI2 = $true) => ((emptysetsubset = $true) => ((subsetE = $true) => ((subsetE2 = $true) => ((notsubsetI = $true) => ((notequalI1 = $true) => ((notequalI2 = $true) => ((subsetRefl = $true) => ((subsetTrans = $true) => ((setadjoinSub = $true) => ((setadjoinSub2 = $true) => ((subset2powerset = $true) => ((setextsub = $true) => ((subsetemptysetimpeq = $true) => ((powersetI1 = $true) => ((powersetE1 = $true) => ((inPowerset = $true) => ((powersetsubset = $true) => ((sepInPowerset = $true) => ((sepSubset = $true) => ((binunionIL = $true) => ((upairset2IR = $true) => ((binunionIR = $true) => ((binunionEcases = $true) => ((binunionE = $true) => ((binunionLsub = $true) => ((binunionRsub = $true) => ((binintersectI = $true) => ((binintersectSubset5 = $true) => ((binintersectEL = $true) => ((binintersectLsub = $true) => ((binintersectSubset2 = $true) => ((binintersectSubset3 = $true) => ((binintersectER = $true) => ((disjointsetsI1 = $true) => ((binintersectRsub = $true) => ((binintersectSubset4 = $true) => ((binintersectSubset1 = $true) => ((bs114d = $true) => ((setminusI = $true) => ((setminusEL = $true) => ((setminusER = $true) => ((setminusSubset2 = $true) => ((setminusERneg = $true) => ((setminusELneg = $true) => ((setminusILneg = $true) => ((setminusIRneg = $true) => ((setminusLsub = $true) => ((setminusSubset1 = $true) => ((symdiffE = $true) => ((symdiffI1 = $true) => ((symdiffI2 = $true) => ((symdiffIneg1 = $true) => ((symdiffIneg2 = $true) => ((secondinupair = $true) => ((setukpairIL = $true) => ((setukpairIR = $true) => ((kpairiskpair = $true) => ((kpairp = $true) => ((singletonsubset = $true) => ((singletoninpowerset = $true) => ((singletoninpowunion = $true) => ((upairset2E = $true) => ((upairsubunion = $true) => ((upairinpowunion = $true) => ((ubforcartprodlem1 = $true) => ((ubforcartprodlem2 = $true) => ((ubforcartprodlem3 = $true) => ((cartprodpairin = $true) => ((cartprodmempair1 = $true) => ! [X2 : $i,X0 : $i,X1 : $i] : ((((in @ X2 @ (cartprod @ X1 @ X0))) = $true) => (((iskpair @ X2)) = $true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 1.53/0.58 inference(fool_elimination,[],[f414])).
% 1.53/0.58 thf(f422,plain,(
% 1.53/0.58 (! [X0 : $i,X1 : $i,X2 : $i] : ((in @ X1 @ (cartprod @ X2 @ X0)) => ? [X3 : $i] : (? [X4 : $i] : ((((kpair @ X3 @ X4)) = X1) & (in @ X4 @ X0)) & (in @ X3 @ X2))) = cartprodmempair1)),
% 1.53/0.58 inference(rectify,[],[f152])).
% 1.53/0.58 thf(f423,plain,(
% 1.53/0.58 ! [X1 : $i,X0 : $i,X2 : $i] : ((((in @ X1 @ (cartprod @ X2 @ X0))) = $true) => ? [X3 : $i] : ((((in @ X3 @ X2)) = $true) & ? [X4 : $i] : ((((in @ X4 @ X0)) = $true) & (((kpair @ X3 @ X4)) = X1)))) <=> (cartprodmempair1 = $true)),
% 1.53/0.58 inference(fool_elimination,[],[f422])).
% 1.53/0.58 thf(f545,plain,(
% 1.53/0.58 ! [X0 : $i,X2 : $i,X1 : $i] : (? [X3 : $i] : ((((in @ X3 @ X2)) = $true) & ? [X4 : $i] : ((((in @ X4 @ X0)) = $true) & (((kpair @ X3 @ X4)) = X1))) | (((in @ X1 @ (cartprod @ X2 @ X0))) != $true)) <=> (cartprodmempair1 = $true)),
% 1.53/0.58 inference(ennf_transformation,[],[f423])).
% 1.53/0.58 thf(f565,plain,(
% 1.53/0.58 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((? [X0 : $i,X1 : $i,X2 : $i] : ((((iskpair @ X2)) != $true) & (((in @ X2 @ (cartprod @ X1 @ X0))) = $true)) & (cartprodmempair1 = $true)) & (cartprodpairin = $true)) & (ubforcartprodlem3 = $true)) & (ubforcartprodlem2 = $true)) & (ubforcartprodlem1 = $true)) & (upairinpowunion = $true)) & (upairsubunion = $true)) & (upairset2E = $true)) & (singletoninpowunion = $true)) & (singletoninpowerset = $true)) & (singletonsubset = $true)) & (kpairp = $true)) & (kpairiskpair = $true)) & (setukpairIR = $true)) & (setukpairIL = $true)) & (secondinupair = $true)) & (symdiffIneg2 = $true)) & (symdiffIneg1 = $true)) & (symdiffI2 = $true)) & (symdiffI1 = $true)) & (symdiffE = $true)) & (setminusSubset1 = $true)) & (setminusLsub = $true)) & (setminusIRneg = $true)) & (setminusILneg = $true)) & (setminusELneg = $true)) & (setminusERneg = $true)) & (setminusSubset2 = $true)) & (setminusER = $true)) & (setminusEL = $true)) & (setminusI = $true)) & (bs114d = $true)) & (binintersectSubset1 = $true)) & (binintersectSubset4 = $true)) & (binintersectRsub = $true)) & (disjointsetsI1 = $true)) & (binintersectER = $true)) & (binintersectSubset3 = $true)) & (binintersectSubset2 = $true)) & (binintersectLsub = $true)) & (binintersectEL = $true)) & (binintersectSubset5 = $true)) & (binintersectI = $true)) & (binunionRsub = $true)) & (binunionLsub = $true)) & (binunionE = $true)) & (binunionEcases = $true)) & (binunionIR = $true)) & (upairset2IR = $true)) & (binunionIL = $true)) & (sepSubset = $true)) & (sepInPowerset = $true)) & (powersetsubset = $true)) & (inPowerset = $true)) & (powersetE1 = $true)) & (powersetI1 = $true)) & (subsetemptysetimpeq = $true)) & (setextsub = $true)) & (subset2powerset = $true)) & (setadjoinSub2 = $true)) & (setadjoinSub = $true)) & (subsetTrans = $true)) & (subsetRefl = $true)) & (notequalI2 = $true)) & (notequalI1 = $true)) & (notsubsetI = $true)) & (subsetE2 = $true)) & (subsetE = $true)) & (emptysetsubset = $true)) & (subsetI2 = $true)) & (eqimpsubset1 = $true)) & (eqimpsubset2 = $true)) & (subsetI1 = $true)) & (dsetconstr__Cong = $true)) & (descr__Cong = $true)) & (exuEu = $true)) & (omega__Cong = $true)) & (setunion__Cong = $true)) & (powerset__Cong = $true)) & (setadjoin__Cong = $true)) & (emptyset__Cong = $true)) & (exu__Cong = $true)) & (exuE3u = $true)) & (in__Cong = $true)) & (inCongP = $true)) & (exuI2 = $true)) & (exuI3 = $true)) & (exuI1 = $true)) & (notdallE = $true)) & (notdexE = $true)) & (prop2set2propI = $true)) & (prop2setI = $true)) & (quantDeMorgan4 = $true)) & (quantDeMorgan3 = $true)) & (quantDeMorgan2 = $true)) & (quantDeMorgan1 = $true)) & (vacuousDall = $true)) & (emptyE1 = $true)) & (upairsetIR = $true)) & (upairsetIL = $true)) & (upairsetE = $true)) & (singletonsswitch = $true)) & (eqinunit = $true)) & (notinsingleton = $true)) & (uniqinunit = $true)) & (nonemptyImpWitness = $true)) & (exuE2 = $true)) & (subPowSU = $true)) & (setunionE = $true)) & (setunionI = $true)) & (powersetE = $true)) & (emptyInPowerset = $true)) & (emptyinPowerset = $true)) & (powersetI = $true)) & (setoftrueEq = $true)) & (setadjoinOr = $true)) & (setadjoinE = $true)) & (setadjoinIR = $true)) & (emptyinunitempty = $true)) & (setadjoinIL = $true)) & (nonemptyI1 = $true)) & (nonemptyI = $true)) & (nonemptyE1 = $true)) & (setbeta = $true)) & (noeltsimpempty = $true)) & (emptyI = $true)) & (setext = $true)) & (exuE3e = $true)) & (notinemptyset = $true)) & (emptysetimpfalse = $true)) & (emptysetE = $true)) & (prop2setE = $true)) & (exuE1 = $true)) & (dsetconstrER = $true)) & (dsetconstrEL = $true)) & (dsetconstrI = $true)) & (descrp = $true)) & (wellorderingAx = $true)) & (foundationAx = $true)) & (replAx = $true)) & (omegaIndAx = $true)) & (omegaSAx = $true)) & (omega0Ax = $true)) & (setunionAx = $true)) & (powersetAx = $true)) & (setadjoinAx = $true)) & (emptysetAx = $true)) & (setextAx = $true)),
% 1.53/0.58 inference(ennf_transformation,[],[f415])).
% 1.53/0.58 thf(f566,plain,(
% 1.53/0.58 (kpairiskpair = $true) & (setunionAx = $true) & (setext = $true) & (subsetTrans = $true) & (quantDeMorgan2 = $true) & (setminusILneg = $true) & (setadjoinOr = $true) & (binintersectSubset1 = $true) & (setukpairIR = $true) & (powersetE1 = $true) & (subsetE2 = $true) & (subset2powerset = $true) & (setminusER = $true) & (powersetI1 = $true) & (emptysetimpfalse = $true) & (singletonsubset = $true) & (descrp = $true) & (exuE3u = $true) & (nonemptyI = $true) & (inPowerset = $true) & (disjointsetsI1 = $true) & (binintersectRsub = $true) & (upairset2E = $true) & (symdiffE = $true) & (dsetconstrEL = $true) & (subsetE = $true) & (emptyE1 = $true) & (emptysetE = $true) & (setextsub = $true) & (vacuousDall = $true) & (exu__Cong = $true) & (exuE1 = $true) & (cartprodpairin = $true) & (emptysetsubset = $true) & (eqimpsubset2 = $true) & (upairinpowunion = $true) & (setminusIRneg = $true) & (quantDeMorgan1 = $true) & (uniqinunit = $true) & (binintersectER = $true) & (binunionIR = $true) & (setunion__Cong = $true) & (emptyInPowerset = $true) & (emptyinunitempty = $true) & (symdiffI1 = $true) & (notinemptyset = $true) & (noeltsimpempty = $true) & (nonemptyI1 = $true) & (prop2set2propI = $true) & (exuI1 = $true) & (emptyI = $true) & (secondinupair = $true) & (binintersectI = $true) & (omegaIndAx = $true) & (subPowSU = $true) & (exuI2 = $true) & (setukpairIL = $true) & (binintersectSubset2 = $true) & (bs114d = $true) & (prop2setI = $true) & (notdallE = $true) & (omegaSAx = $true) & (symdiffI2 = $true) & (setunionI = $true) & (inCongP = $true) & (notinsingleton = $true) & (eqimpsubset1 = $true) & (upairsetE = $true) & (powerset__Cong = $true) & (subsetRefl = $true) & (ubforcartprodlem1 = $true) & (symdiffIneg1 = $true) & (foundationAx = $true) & (setminusLsub = $true) & ? [X0 : $i,X1 : $i,X2 : $i] : ((((iskpair @ X2)) != $true) & (((in @ X2 @ (cartprod @ X1 @ X0))) = $true)) & (kpairp = $true) & (cartprodmempair1 = $true) & (binintersectEL = $true) & (binunionRsub = $true) & (setminusELneg = $true) & (nonemptyImpWitness = $true) & (omega0Ax = $true) & (powersetsubset = $true) & (subsetI1 = $true) & (powersetI = $true) & (setminusI = $true) & (exuEu = $true) & (emptyset__Cong = $true) & (singletonsswitch = $true) & (exuE2 = $true) & (subsetI2 = $true) & (ubforcartprodlem3 = $true) & (binintersectSubset3 = $true) & (setbeta = $true) & (setminusERneg = $true) & (descr__Cong = $true) & (setadjoinSub2 = $true) & (prop2setE = $true) & (setadjoinSub = $true) & (powersetAx = $true) & (singletoninpowunion = $true) & (setminusSubset1 = $true) & (quantDeMorgan4 = $true) & (exuE3e = $true) & (notsubsetI = $true) & (powersetE = $true) & (sepSubset = $true) & (singletoninpowerset = $true) & (emptysetAx = $true) & (upairset2IR = $true) & (binintersectLsub = $true) & (eqinunit = $true) & (setadjoin__Cong = $true) & (replAx = $true) & (dsetconstr__Cong = $true) & (setadjoinAx = $true) & (setextAx = $true) & (binintersectSubset4 = $true) & (quantDeMorgan3 = $true) & (emptyinPowerset = $true) & (setadjoinE = $true) & (binunionEcases = $true) & (setminusEL = $true) & (exuI3 = $true) & (binintersectSubset5 = $true) & (notequalI1 = $true) & (binunionE = $true) & (upairsetIL = $true) & (nonemptyE1 = $true) & (notequalI2 = $true) & (subsetemptysetimpeq = $true) & (wellorderingAx = $true) & (dsetconstrI = $true) & (binunionLsub = $true) & (notdexE = $true) & (ubforcartprodlem2 = $true) & (in__Cong = $true) & (upairsubunion = $true) & (symdiffIneg2 = $true) & (setunionE = $true) & (binunionIL = $true) & (setminusSubset2 = $true) & (dsetconstrER = $true) & (setadjoinIL = $true) & (setadjoinIR = $true) & (upairsetIR = $true) & (omega__Cong = $true) & (sepInPowerset = $true) & (setoftrueEq = $true)),
% 1.53/0.58 inference(flattening,[],[f565])).
% 1.53/0.58 thf(f847,plain,(
% 1.53/0.58 (kpairiskpair = $true) & (setunionAx = $true) & (setext = $true) & (subsetTrans = $true) & (quantDeMorgan2 = $true) & (setminusILneg = $true) & (setadjoinOr = $true) & (binintersectSubset1 = $true) & (setukpairIR = $true) & (powersetE1 = $true) & (subsetE2 = $true) & (subset2powerset = $true) & (setminusER = $true) & (powersetI1 = $true) & (emptysetimpfalse = $true) & (singletonsubset = $true) & (descrp = $true) & (exuE3u = $true) & (nonemptyI = $true) & (inPowerset = $true) & (disjointsetsI1 = $true) & (binintersectRsub = $true) & (upairset2E = $true) & (symdiffE = $true) & (dsetconstrEL = $true) & (subsetE = $true) & (emptyE1 = $true) & (emptysetE = $true) & (setextsub = $true) & (vacuousDall = $true) & (exu__Cong = $true) & (exuE1 = $true) & (cartprodpairin = $true) & (emptysetsubset = $true) & (eqimpsubset2 = $true) & (upairinpowunion = $true) & (setminusIRneg = $true) & (quantDeMorgan1 = $true) & (uniqinunit = $true) & (binintersectER = $true) & (binunionIR = $true) & (setunion__Cong = $true) & (emptyInPowerset = $true) & (emptyinunitempty = $true) & (symdiffI1 = $true) & (notinemptyset = $true) & (noeltsimpempty = $true) & (nonemptyI1 = $true) & (prop2set2propI = $true) & (exuI1 = $true) & (emptyI = $true) & (secondinupair = $true) & (binintersectI = $true) & (omegaIndAx = $true) & (subPowSU = $true) & (exuI2 = $true) & (setukpairIL = $true) & (binintersectSubset2 = $true) & (bs114d = $true) & (prop2setI = $true) & (notdallE = $true) & (omegaSAx = $true) & (symdiffI2 = $true) & (setunionI = $true) & (inCongP = $true) & (notinsingleton = $true) & (eqimpsubset1 = $true) & (upairsetE = $true) & (powerset__Cong = $true) & (subsetRefl = $true) & (ubforcartprodlem1 = $true) & (symdiffIneg1 = $true) & (foundationAx = $true) & (setminusLsub = $true) & ((((iskpair @ sK183)) != $true) & ($true = ((in @ sK183 @ (cartprod @ sK182 @ sK181))))) & (kpairp = $true) & (cartprodmempair1 = $true) & (binintersectEL = $true) & (binunionRsub = $true) & (setminusELneg = $true) & (nonemptyImpWitness = $true) & (omega0Ax = $true) & (powersetsubset = $true) & (subsetI1 = $true) & (powersetI = $true) & (setminusI = $true) & (exuEu = $true) & (emptyset__Cong = $true) & (singletonsswitch = $true) & (exuE2 = $true) & (subsetI2 = $true) & (ubforcartprodlem3 = $true) & (binintersectSubset3 = $true) & (setbeta = $true) & (setminusERneg = $true) & (descr__Cong = $true) & (setadjoinSub2 = $true) & (prop2setE = $true) & (setadjoinSub = $true) & (powersetAx = $true) & (singletoninpowunion = $true) & (setminusSubset1 = $true) & (quantDeMorgan4 = $true) & (exuE3e = $true) & (notsubsetI = $true) & (powersetE = $true) & (sepSubset = $true) & (singletoninpowerset = $true) & (emptysetAx = $true) & (upairset2IR = $true) & (binintersectLsub = $true) & (eqinunit = $true) & (setadjoin__Cong = $true) & (replAx = $true) & (dsetconstr__Cong = $true) & (setadjoinAx = $true) & (setextAx = $true) & (binintersectSubset4 = $true) & (quantDeMorgan3 = $true) & (emptyinPowerset = $true) & (setadjoinE = $true) & (binunionEcases = $true) & (setminusEL = $true) & (exuI3 = $true) & (binintersectSubset5 = $true) & (notequalI1 = $true) & (binunionE = $true) & (upairsetIL = $true) & (nonemptyE1 = $true) & (notequalI2 = $true) & (subsetemptysetimpeq = $true) & (wellorderingAx = $true) & (dsetconstrI = $true) & (binunionLsub = $true) & (notdexE = $true) & (ubforcartprodlem2 = $true) & (in__Cong = $true) & (upairsubunion = $true) & (symdiffIneg2 = $true) & (setunionE = $true) & (binunionIL = $true) & (setminusSubset2 = $true) & (dsetconstrER = $true) & (setadjoinIL = $true) & (setadjoinIR = $true) & (upairsetIR = $true) & (omega__Cong = $true) & (sepInPowerset = $true) & (setoftrueEq = $true)),
% 1.53/0.58 inference(skolemize,[status(esa),new_symbols(skolem,[sK181,sK182,sK183]),skolemize(X0,sK181),skolemize(X1,sK182),skolemize(X2,sK183)],[f566])).
% 1.53/0.58 thf(f972,plain,(
% 1.53/0.58 (! [X0 : $i,X2 : $i,X1 : $i] : (? [X3 : $i] : ((((in @ X3 @ X2)) = $true) & ? [X4 : $i] : ((((in @ X4 @ X0)) = $true) & (((kpair @ X3 @ X4)) = X1))) | (((in @ X1 @ (cartprod @ X2 @ X0))) != $true)) | (cartprodmempair1 != $true)) & ((cartprodmempair1 = $true) | ? [X0 : $i,X2 : $i,X1 : $i] : (! [X3 : $i] : ((((in @ X3 @ X2)) != $true) | ! [X4 : $i] : ((((in @ X4 @ X0)) != $true) | (((kpair @ X3 @ X4)) != X1))) & (((in @ X1 @ (cartprod @ X2 @ X0))) = $true)))),
% 1.53/0.58 inference(nnf_transformation,[],[f545])).
% 1.53/0.58 thf(f973,plain,(
% 1.53/0.58 (! [X0 : $i,X1 : $i,X2 : $i] : (? [X3 : $i] : ((((in @ X3 @ X1)) = $true) & ? [X4 : $i] : ((((in @ X4 @ X0)) = $true) & (((kpair @ X3 @ X4)) = X2))) | (((in @ X2 @ (cartprod @ X1 @ X0))) != $true)) | (cartprodmempair1 != $true)) & ((cartprodmempair1 = $true) | ? [X5 : $i,X6 : $i,X7 : $i] : (! [X8 : $i] : (($true != ((in @ X8 @ X6))) | ! [X9 : $i] : ((((in @ X9 @ X5)) != $true) | (((kpair @ X8 @ X9)) != X7))) & (((in @ X7 @ (cartprod @ X6 @ X5))) = $true)))),
% 1.53/0.58 inference(rectify,[],[f972])).
% 1.53/0.58 thf(f974,plain,(
% 1.53/0.58 (! [X0 : $i,X1 : $i,X2 : $i] : (((((in @ (sK298 @ X2 @ X1 @ X0) @ X1)) = $true) & ((((in @ (sK299 @ X2 @ X1 @ X0) @ X0)) = $true) & (((kpair @ (sK298 @ X2 @ X1 @ X0) @ (sK299 @ X2 @ X1 @ X0))) = X2))) | (((in @ X2 @ (cartprod @ X1 @ X0))) != $true)) | (cartprodmempair1 != $true)) & ((cartprodmempair1 = $true) | (! [X8 : $i] : ((((in @ X8 @ sK301)) != $true) | ! [X9 : $i] : ((((in @ X9 @ sK300)) != $true) | (sK302 != ((kpair @ X8 @ X9))))) & (((in @ sK302 @ (cartprod @ sK301 @ sK300))) = $true)))),
% 1.53/0.58 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP,vAPP,sK300,sK301,sK302]),skolemize(X5,sK14 @ X4 @ X3),skolemize(X5,sK14 @ X4 @ X3),skolemize(X5,sK300),skolemize(X6,sK301),skolemize(X7,sK302)],[f973])).
% 1.53/0.58 thf(f1029,plain,(
% 1.53/0.58 (! [X1 : $i,X0 : $i] : (((iskpair @ (kpair @ X1 @ X0))) = $true) | (kpairp != $true)) & ((kpairp = $true) | ? [X1 : $i,X0 : $i] : (((iskpair @ (kpair @ X1 @ X0))) != $true))),
% 1.53/0.58 inference(nnf_transformation,[],[f245])).
% 1.53/0.58 thf(f1030,plain,(
% 1.53/0.58 (! [X0 : $i,X1 : $i] : (((iskpair @ (kpair @ X0 @ X1))) = $true) | (kpairp != $true)) & ((kpairp = $true) | ? [X2 : $i,X3 : $i] : (((iskpair @ (kpair @ X2 @ X3))) != $true))),
% 1.53/0.58 inference(rectify,[],[f1029])).
% 1.53/0.58 thf(f1031,plain,(
% 1.53/0.58 (! [X0 : $i,X1 : $i] : (((iskpair @ (kpair @ X0 @ X1))) = $true) | (kpairp != $true)) & ((kpairp = $true) | (((iskpair @ (kpair @ sK350 @ sK351))) != $true))),
% 1.53/0.58 inference(skolemize,[status(esa),new_symbols(skolem,[sK350,sK351]),skolemize(X2,sK350),skolemize(X3,sK351)],[f1030])).
% 1.53/0.58 thf(f1400,plain,(
% 1.53/0.58 (cartprodmempair1 = $true)),
% 1.53/0.58 inference(cnf_transformation,[],[f847])).
% 1.53/0.58 thf(f1401,plain,(
% 1.53/0.58 (kpairp = $true)),
% 1.53/0.58 inference(cnf_transformation,[],[f847])).
% 1.53/0.58 thf(f1402,plain,(
% 1.53/0.58 ($true = ((in @ sK183 @ (cartprod @ sK182 @ sK181))))),
% 1.53/0.58 inference(cnf_transformation,[],[f847])).
% 1.53/0.58 thf(f1403,plain,(
% 1.53/0.58 (((iskpair @ sK183)) != $true)),
% 1.53/0.58 inference(cnf_transformation,[],[f847])).
% 1.53/0.58 thf(f1654,plain,(
% 1.53/0.58 ( ! [X2 : $i,X0 : $i,X1 : $i] : ((((kpair @ (sK298 @ X2 @ X1 @ X0) @ (sK299 @ X2 @ X1 @ X0))) = X2) | (cartprodmempair1 != $true) | (((in @ X2 @ (cartprod @ X1 @ X0))) != $true)) )),
% 1.53/0.58 inference(cnf_transformation,[],[f974])).
% 1.53/0.58 thf(f1720,plain,(
% 1.53/0.58 ( ! [X0 : $i,X1 : $i] : ((kpairp != $true) | (((iskpair @ (kpair @ X0 @ X1))) = $true)) )),
% 1.53/0.58 inference(cnf_transformation,[],[f1031])).
% 1.53/0.58 thf(f2381,definition,(
% 1.53/0.58 spl412_95 <=> ($true = ((in @ sK183 @ (cartprod @ sK182 @ sK181))))),
% 1.53/0.58 introduced(definition,[new_symbols(definition,[spl412_95])],[avatar_definition])).
% 1.53/0.58 thf(f2383,plain,(
% 1.53/0.58 ($true = ((in @ sK183 @ (cartprod @ sK182 @ sK181)))) | ~spl412_95),
% 1.53/0.58 inference(avatar_component_clause,[],[f2381])).
% 1.53/0.58 thf(f2384,plain,(
% 1.53/0.58 spl412_95),
% 1.53/0.58 inference(avatar_split_clause,[],[f1402,f2381])).
% 1.53/0.58 thf(f2480,definition,(
% 1.53/0.58 spl412_118 <=> (cartprodmempair1 = $true)),
% 1.53/0.58 introduced(definition,[new_symbols(definition,[spl412_118])],[avatar_definition])).
% 1.53/0.58 thf(f2977,definition,(
% 1.53/0.58 spl412_227 <=> (kpairp = $true)),
% 1.53/0.58 introduced(definition,[new_symbols(definition,[spl412_227])],[avatar_definition])).
% 1.53/0.58 thf(f2981,definition,(
% 1.53/0.58 spl412_228 <=> ! [X0 : $i,X1 : $i] : (((iskpair @ (kpair @ X0 @ X1))) = $true)),
% 1.53/0.58 introduced(definition,[new_symbols(definition,[spl412_228])],[avatar_definition])).
% 1.53/0.58 thf(f2982,plain,(
% 1.53/0.58 ( ! [X0 : $i,X1 : $i] : ((((iskpair @ (kpair @ X0 @ X1))) = $true)) ) | ~spl412_228),
% 1.53/0.58 inference(avatar_component_clause,[],[f2981])).
% 1.53/0.58 thf(f2983,plain,(
% 1.53/0.58 ~spl412_227 | spl412_228),
% 1.53/0.58 inference(avatar_split_clause,[],[f1720,f2981,f2977])).
% 1.53/0.58 thf(f3921,plain,(
% 1.53/0.58 spl412_227),
% 1.53/0.58 inference(avatar_split_clause,[],[f1401,f2977])).
% 1.53/0.58 thf(f4256,definition,(
% 1.53/0.58 spl412_495 <=> ! [X2 : $i,X0 : $i,X1 : $i] : ((((kpair @ (sK298 @ X2 @ X1 @ X0) @ (sK299 @ X2 @ X1 @ X0))) = X2) | (((in @ X2 @ (cartprod @ X1 @ X0))) != $true))),
% 1.53/0.58 introduced(definition,[new_symbols(definition,[spl412_495])],[avatar_definition])).
% 1.53/0.58 thf(f4257,plain,(
% 1.53/0.58 ( ! [X2 : $i,X0 : $i,X1 : $i] : ((((kpair @ (sK298 @ X2 @ X1 @ X0) @ (sK299 @ X2 @ X1 @ X0))) = X2) | (((in @ X2 @ (cartprod @ X1 @ X0))) != $true)) ) | ~spl412_495),
% 1.53/0.58 inference(avatar_component_clause,[],[f4256])).
% 1.53/0.58 thf(f4258,plain,(
% 1.53/0.58 spl412_495 | ~spl412_118),
% 1.53/0.58 inference(avatar_split_clause,[],[f1654,f2480,f4256])).
% 1.53/0.58 thf(f4407,plain,(
% 1.53/0.58 spl412_118),
% 1.53/0.58 inference(avatar_split_clause,[],[f1400,f2480])).
% 1.53/0.58 thf(f4773,definition,(
% 1.53/0.58 spl412_600 <=> (((iskpair @ sK183)) = $true)),
% 1.53/0.58 introduced(definition,[new_symbols(definition,[spl412_600])],[avatar_definition])).
% 1.53/0.58 thf(f4775,plain,(
% 1.53/0.58 (((iskpair @ sK183)) != $true) | spl412_600),
% 1.53/0.58 inference(avatar_component_clause,[],[f4773])).
% 1.53/0.58 thf(f4776,plain,(
% 1.53/0.58 ~spl412_600),
% 1.53/0.58 inference(avatar_split_clause,[],[f1403,f4773])).
% 1.53/0.58 thf(f7139,plain,(
% 1.53/0.58 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true != ((in @ X0 @ (cartprod @ X1 @ X2)))) | (((iskpair @ X0)) = $true)) ) | (~spl412_228 | ~spl412_495)),
% 1.53/0.58 inference(superposition,[],[f2982,f4257])).
% 1.53/0.58 thf(f8353,plain,(
% 1.53/0.58 ($true != $true) | (((iskpair @ sK183)) = $true) | (~spl412_95 | ~spl412_228 | ~spl412_495)),
% 1.53/0.58 inference(superposition,[],[f7139,f2383])).
% 1.53/0.58 thf(f8402,plain,(
% 1.53/0.58 (((iskpair @ sK183)) = $true) | (~spl412_95 | ~spl412_228 | ~spl412_495)),
% 1.53/0.58 inference(trivial_inequality_removal,[],[f8353])).
% 1.53/0.58 thf(f8404,plain,(
% 1.53/0.58 $false | (~spl412_95 | ~spl412_228 | ~spl412_495 | spl412_600)),
% 1.53/0.58 inference(forward_subsumption_resolution,[],[f8402,f4775])).
% 1.53/0.58 thf(f8405,plain,(
% 1.53/0.58 ~spl412_95 | ~spl412_228 | ~spl412_495 | spl412_600),
% 1.53/0.58 inference(avatar_contradiction_clause,[],[f8404])).
% 1.53/0.58 cnf(s58, plain, spl412_95, inference(sat_conversion,[],[f2384])).
% 1.53/0.58 cnf(s157, plain, ~spl412_227 | spl412_228, inference(sat_conversion,[],[f2983])).
% 1.53/0.58 cnf(s364, plain, spl412_227, inference(sat_conversion,[],[f3921])).
% 1.53/0.58 cnf(s456, plain, ~spl412_118 | spl412_495, inference(sat_conversion,[],[f4258])).
% 1.53/0.58 cnf(s493, plain, spl412_118, inference(sat_conversion,[],[f4407])).
% 1.53/0.58 cnf(s592, plain, ~spl412_600, inference(sat_conversion,[],[f4776])).
% 1.53/0.58 cnf(s754, plain, ~spl412_95 | ~spl412_228 | ~spl412_495 | spl412_600, inference(sat_conversion,[],[f8405])).
% 1.53/0.58 cnf(s773, plain, spl412_495, inference(rat,[],[s456,s493])).
% 1.53/0.58 cnf(s870, plain, spl412_228, inference(rat,[],[s157,s364])).
% 1.53/0.58 cnf(s871, plain, ~spl412_95, inference(rat,[],[s754,s592,s773,s870])).
% 1.53/0.58 cnf(s914, plain, $false, inference(rat,[],[s58,s871])).
% 1.53/0.58 thf(f8406,plain,(
% 1.53/0.58 $false),
% 1.53/0.58 inference(avatar_sat_refutation,[],[s914])).
% 1.53/0.58 % SZS output end Proof for theBenchmark
% 1.53/0.58 % (647382)------------------------------
% 1.53/0.58 % (647382)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.53/0.58 % (647382)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.53/0.58 % (647382)CaDiCaL version: 2.1.3
% 1.53/0.58 % (647382)Termination reason: Refutation
% 1.53/0.58 % (647382)Time elapsed: 0.261 s
% 1.53/0.58 % (647382)Peak memory usage: 18 MB
% 1.53/0.58 % (647382)Instructions burned: 481 (million)
% 1.53/0.58 % (647374)Success in time 0.311 s
% 1.53/0.58 % Vampire exiting
%------------------------------------------------------------------------------