%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU692^1 : 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 : n020.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 08:30:48 AM UTC 2026
% Result : Theorem 3.09s 0.85s
% Output : Refutation 3.09s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SEU692^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.21 % Computer : n020.cluster.edu
% 0.12/0.21 % Model : x86_64 x86_64
% 0.12/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.21 % Memory : 8046.5625MB
% 0.12/0.21 % OS : Linux 6.8.0-71-generic
% 0.12/0.21 % CPULimit : 300
% 0.12/0.21 % WCLimit : 300
% 0.12/0.21 % DateTime : Tue Sep 29 14:11:36 UTC 2026
% 0.12/0.21 % CPUTime :
% 0.12/0.21 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.25 Running higher-order theorem proving
% 0.25/0.30 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
% 0.31/0.44 % (1111727)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.31/0.44 % (1111751)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2924660733:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.31/0.44 % (1111753)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.31/0.44 % (1111753)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
% 0.31/0.44 % (1111751)Instruction limit reached!
% 0.31/0.44 % (1111751)------------------------------
% 0.31/0.44 % (1111751)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.31/0.44 % (1111751)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.31/0.44 % (1111751)CaDiCaL version: 2.1.3
% 0.31/0.44 % (1111751)Termination reason: Instruction limit
% 0.31/0.44 % (1111751)Termination phase: Property scanning
% 0.31/0.44 % (1111751)Time elapsed: 0.006 s
% 0.31/0.44 % (1111751)Peak memory usage: 10 MB
% 0.31/0.44 % (1111751)Instructions burned: 28 (million)
% 0.31/0.44 % (1111746)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3039622055:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.31/0.44 % (1111748)lrs+10_16_si=on:nwc=1.5:random_seed=1156043961:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.31/0.44 % (1111749)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3128200000:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.31/0.44 % (1111750)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=4160900950: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)
% 0.31/0.44 % (1111753)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=104600545:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.31/0.44 % (1111752)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2435931658:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.31/0.44 % (1111749)Instruction limit reached!
% 0.31/0.44 % (1111749)------------------------------
% 0.31/0.44 % (1111749)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.31/0.44 % (1111749)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.31/0.44 % (1111749)CaDiCaL version: 2.1.3
% 0.31/0.44 % (1111749)Termination reason: Instruction limit
% 0.31/0.44 % (1111749)Termination phase: shuffling
% 0.31/0.44 % (1111749)Time elapsed: 0.002 s
% 0.31/0.44 % (1111749)Peak memory usage: 10 MB
% 0.31/0.44 % (1111749)Instructions burned: 5 (million)
% 0.31/0.44 % (1111748)Instruction limit reached!
% 0.31/0.44 % (1111748)------------------------------
% 0.31/0.44 % (1111748)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.31/0.44 % (1111748)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.31/0.44 % (1111748)CaDiCaL version: 2.1.3
% 0.31/0.44 % (1111748)Termination reason: Instruction limit
% 0.31/0.44 % (1111748)Termination phase: shuffling
% 0.31/0.44 % (1111748)Time elapsed: 0.009 s
% 0.31/0.44 % (1111748)Peak memory usage: 10 MB
% 0.31/0.44 % (1111748)Instructions burned: 19 (million)
% 0.31/0.44 % (1111765)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=588178391:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.31/0.44 % (1111765)Instruction limit reached!
% 0.31/0.44 % (1111765)------------------------------
% 0.31/0.44 % (1111765)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.31/0.44 % (1111765)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.31/0.44 % (1111765)CaDiCaL version: 2.1.3
% 0.31/0.44 % (1111765)Termination reason: Instruction limit
% 0.31/0.44 % (1111765)Termination phase: shuffling
% 0.31/0.44 % (1111765)Time elapsed: 0.001 s
% 0.31/0.44 % (1111765)Peak memory usage: 10 MB
% 0.31/0.44 % (1111765)Instructions burned: 3 (million)
% 0.31/0.44 % (1111775)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=1795718964:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 1.12/0.48 % (1111772)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1789928435:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 1.12/0.48 % (1111775)Instruction limit reached!
% 1.12/0.48 % (1111775)------------------------------
% 1.12/0.48 % (1111775)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.12/0.48 % (1111775)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.12/0.48 % (1111775)CaDiCaL version: 2.1.3
% 1.12/0.48 % (1111775)Termination reason: Instruction limit
% 1.12/0.48 % (1111775)Termination phase: shuffling
% 1.12/0.48 % (1111775)Time elapsed: 0.003 s
% 1.12/0.48 % (1111775)Peak memory usage: 10 MB
% 1.12/0.48 % (1111775)Instructions burned: 13 (million)
% 1.12/0.48 % (1111774)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.12/0.48 % (1111772)Instruction limit reached!
% 1.12/0.48 % (1111772)------------------------------
% 1.12/0.48 % (1111772)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.12/0.48 % (1111772)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.12/0.48 % (1111772)CaDiCaL version: 2.1.3
% 1.12/0.48 % (1111772)Termination reason: Instruction limit
% 1.12/0.48 % (1111772)Termination phase: shuffling
% 1.12/0.48 % (1111772)Time elapsed: 0.003 s
% 1.12/0.48 % (1111772)Peak memory usage: 10 MB
% 1.12/0.48 % (1111772)Instructions burned: 6 (million)
% 1.12/0.48 % (1111774)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1794320855:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 1.12/0.48 % (1111784)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
% 1.12/0.48 % (1111784)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.12/0.48 % (1111774)Instruction limit reached!
% 1.12/0.48 % (1111774)------------------------------
% 1.12/0.48 % (1111774)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.12/0.48 % (1111774)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.12/0.48 % (1111774)CaDiCaL version: 2.1.3
% 1.12/0.48 % (1111774)Termination reason: Instruction limit
% 1.12/0.48 % (1111774)Termination phase: shuffling
% 1.12/0.48 % (1111774)Time elapsed: 0.004 s
% 1.12/0.48 % (1111774)Peak memory usage: 10 MB
% 1.12/0.48 % (1111774)Instructions burned: 9 (million)
% 1.12/0.48 % (1111784)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1549071188:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 1.12/0.48 % (1111752)Instruction limit reached!
% 1.12/0.48 % (1111752)------------------------------
% 1.12/0.48 % (1111752)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.12/0.48 % (1111752)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.12/0.48 % (1111752)CaDiCaL version: 2.1.3
% 1.12/0.48 % (1111752)Termination reason: Instruction limit
% 1.12/0.48 % (1111752)Termination phase: Preprocessing 3
% 1.12/0.48 % (1111752)Time elapsed: 0.035 s
% 1.12/0.48 % (1111752)Peak memory usage: 12 MB
% 1.12/0.48 % (1111752)Instructions burned: 76 (million)
% 1.12/0.48 % (1111746)Instruction limit reached!
% 1.12/0.48 % (1111746)------------------------------
% 1.12/0.48 % (1111746)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.12/0.48 % (1111746)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.12/0.48 % (1111746)CaDiCaL version: 2.1.3
% 1.12/0.48 % (1111746)Termination reason: Instruction limit
% 1.12/0.48 % (1111746)Termination phase: Property scanning
% 1.12/0.48 % (1111746)Time elapsed: 0.041 s
% 1.12/0.48 % (1111746)Peak memory usage: 13 MB
% 1.12/0.48 % (1111746)Instructions burned: 87 (million)
% 1.12/0.48 % (1111784)Instruction limit reached!
% 1.12/0.48 % (1111784)------------------------------
% 1.12/0.48 % (1111784)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.12/0.48 % (1111784)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.12/0.48 % (1111784)CaDiCaL version: 2.1.3
% 1.12/0.48 % (1111784)Termination reason: Instruction limit
% 1.12/0.50 % (1111784)Termination phase: Property scanning
% 1.12/0.50 % (1111784)Time elapsed: 0.007 s
% 1.12/0.50 % (1111784)Peak memory usage: 10 MB
% 1.12/0.50 % (1111784)Instructions burned: 31 (million)
% 1.12/0.50 % (1111785)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=1703803510:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 1.12/0.50 % (1111792)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.12/0.50 % (1111795)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=2160878886:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 1.12/0.50 % (1111788)lrs+10_1_si=on:cs=on:random_seed=535193344:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 1.12/0.50 % (1111792)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=3962345396:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 1.12/0.50 % (1111788)Instruction limit reached!
% 1.12/0.50 % (1111788)------------------------------
% 1.12/0.50 % (1111788)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.12/0.50 % (1111788)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.12/0.50 % (1111788)CaDiCaL version: 2.1.3
% 1.12/0.50 % (1111788)Termination reason: Instruction limit
% 1.12/0.50 % (1111788)Termination phase: shuffling
% 1.12/0.50 % (1111788)Time elapsed: 0.004 s
% 1.12/0.50 % (1111788)Peak memory usage: 10 MB
% 1.12/0.50 % (1111788)Instructions burned: 8 (million)
% 1.12/0.50 % (1111792)Instruction limit reached!
% 1.12/0.50 % (1111792)------------------------------
% 1.12/0.50 % (1111792)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.12/0.50 % (1111792)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.12/0.50 % (1111792)CaDiCaL version: 2.1.3
% 1.12/0.50 % (1111792)Termination reason: Instruction limit
% 1.12/0.50 % (1111792)Termination phase: shuffling
% 1.12/0.50 % (1111792)Time elapsed: 0.002 s
% 1.12/0.50 % (1111792)Peak memory usage: 10 MB
% 1.12/0.50 % (1111792)Instructions burned: 3 (million)
% 1.12/0.50 % (1111793)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=637468338:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 1.12/0.50 % (1111753)Instruction limit reached!
% 1.12/0.50 % (1111753)------------------------------
% 1.12/0.50 % (1111753)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.12/0.50 % (1111753)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.12/0.50 % (1111753)CaDiCaL version: 2.1.3
% 1.12/0.50 % (1111753)Termination reason: Instruction limit
% 1.12/0.50 % (1111753)Termination phase: Saturation
% 1.12/0.50 % (1111753)Time elapsed: 0.068 s
% 1.12/0.50 % (1111753)Peak memory usage: 14 MB
% 1.12/0.50 % (1111753)Instructions burned: 159 (million)
% 1.12/0.50 % (1111793)Instruction limit reached!
% 1.12/0.50 % (1111793)------------------------------
% 1.12/0.50 % (1111793)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.12/0.50 % (1111793)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.12/0.50 % (1111793)CaDiCaL version: 2.1.3
% 1.12/0.50 % (1111793)Termination reason: Instruction limit
% 1.12/0.50 % (1111793)Termination phase: Preprocessing 1
% 1.12/0.50 % (1111793)Time elapsed: 0.016 s
% 1.12/0.50 % (1111793)Peak memory usage: 11 MB
% 1.12/0.50 % (1111793)Instructions burned: 38 (million)
% 1.12/0.50 % (1111807)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=3973362733:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.12/0.50 % (1111806)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1997670471:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.12/0.50 % (1111807)Instruction limit reached!
% 1.12/0.50 % (1111807)------------------------------
% 1.12/0.50 % (1111807)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.12/0.50 % (1111807)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.12/0.50 % (1111807)CaDiCaL version: 2.1.3
% 1.12/0.50 % (1111807)Termination reason: Instruction limit
% 1.12/0.50 % (1111807)Termination phase: shuffling
% 1.12/0.56 % (1111807)Time elapsed: 0.007 s
% 1.12/0.56 % (1111807)Peak memory usage: 10 MB
% 1.12/0.56 % (1111807)Instructions burned: 16 (million)
% 1.12/0.56 % (1111813)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1417319787:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.12/0.56 % (1111785)Instruction limit reached!
% 1.12/0.56 % (1111785)------------------------------
% 1.12/0.56 % (1111785)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.12/0.56 % (1111785)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.12/0.56 % (1111785)CaDiCaL version: 2.1.3
% 1.12/0.56 % (1111785)Termination reason: Instruction limit
% 1.12/0.56 % (1111785)Termination phase: Property scanning
% 1.12/0.56 % (1111785)Time elapsed: 0.043 s
% 1.12/0.56 % (1111785)Peak memory usage: 11 MB
% 1.12/0.56 % (1111785)Instructions burned: 88 (million)
% 1.12/0.56 % (1111806)Instruction limit reached!
% 1.12/0.56 % (1111806)------------------------------
% 1.12/0.56 % (1111806)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.12/0.56 % (1111806)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.12/0.56 % (1111806)CaDiCaL version: 2.1.3
% 1.12/0.56 % (1111806)Termination reason: Instruction limit
% 1.12/0.56 % (1111806)Termination phase: Property scanning
% 1.12/0.56 % (1111806)Time elapsed: 0.012 s
% 1.12/0.56 % (1111806)Peak memory usage: 10 MB
% 1.12/0.56 % (1111806)Instructions burned: 27 (million)
% 1.12/0.56 % (1111820)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=4111057965:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.12/0.56 % (1111820)Instruction limit reached!
% 1.12/0.56 % (1111820)------------------------------
% 1.12/0.56 % (1111820)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.12/0.56 % (1111820)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.12/0.56 % (1111820)CaDiCaL version: 2.1.3
% 1.12/0.56 % (1111820)Termination reason: Instruction limit
% 1.12/0.56 % (1111820)Termination phase: shuffling
% 1.12/0.56 % (1111820)Time elapsed: 0.007 s
% 1.12/0.56 % (1111820)Peak memory usage: 10 MB
% 1.12/0.56 % (1111820)Instructions burned: 16 (million)
% 1.12/0.56 % (1111821)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=2269857849: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)
% 1.12/0.56 % (1111821)Instruction limit reached!
% 1.12/0.56 % (1111821)------------------------------
% 1.12/0.56 % (1111821)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.12/0.56 % (1111821)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.12/0.56 % (1111821)CaDiCaL version: 2.1.3
% 1.12/0.56 % (1111821)Termination reason: Instruction limit
% 1.12/0.56 % (1111821)Termination phase: shuffling
% 1.12/0.56 % (1111821)Time elapsed: 0.003 s
% 1.12/0.56 % (1111821)Peak memory usage: 10 MB
% 1.12/0.56 % (1111821)Instructions burned: 5 (million)
% 1.12/0.56 % (1111826)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3406784535:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.12/0.56 % (1111827)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=3326798966:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.12/0.56 % (1111795)Instruction limit reached!
% 1.12/0.56 % (1111795)------------------------------
% 1.12/0.56 % (1111795)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.12/0.56 % (1111795)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.12/0.56 % (1111795)CaDiCaL version: 2.1.3
% 1.12/0.56 % (1111795)Termination reason: Instruction limit
% 1.12/0.56 % (1111795)Termination phase: Saturation
% 1.12/0.56 % (1111795)Time elapsed: 0.063 s
% 1.12/0.56 % (1111795)Peak memory usage: 15 MB
% 1.12/0.56 % (1111795)Instructions burned: 250 (million)
% 1.12/0.56 % (1111830)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=1719288014:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.12/0.56 % (1111826)Instruction limit reached!
% 1.12/0.56 % (1111826)------------------------------
% 1.12/0.56 % (1111826)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.12/0.56 % (1111826)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.12/0.56 % (1111826)CaDiCaL version: 2.1.3
% 2.10/0.63 % (1111826)Termination reason: Instruction limit
% 2.10/0.63 % (1111826)Termination phase: shuffling
% 2.10/0.63 % (1111826)Time elapsed: 0.013 s
% 2.10/0.63 % (1111826)Peak memory usage: 10 MB
% 2.10/0.63 % (1111826)Instructions burned: 28 (million)
% 2.10/0.63 % (1111834)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
% 2.10/0.63 % (1111834)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 2.10/0.63 % (1111827)Instruction limit reached!
% 2.10/0.63 % (1111827)------------------------------
% 2.10/0.63 % (1111827)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.10/0.63 % (1111827)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.10/0.63 % (1111827)CaDiCaL version: 2.1.3
% 2.10/0.63 % (1111827)Termination reason: Instruction limit
% 2.10/0.63 % (1111827)Termination phase: shuffling
% 2.10/0.63 % (1111827)Time elapsed: 0.011 s
% 2.10/0.63 % (1111827)Peak memory usage: 10 MB
% 2.10/0.63 % (1111827)Instructions burned: 25 (million)
% 2.10/0.63 % (1111838)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 2.10/0.63 % (1111838)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=3921184973:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 2.10/0.63 % (1111834)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=3651442736:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 2.10/0.63 % (1111838)Instruction limit reached!
% 2.10/0.63 % (1111838)------------------------------
% 2.10/0.63 % (1111838)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.10/0.63 % (1111838)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.10/0.63 % (1111838)CaDiCaL version: 2.1.3
% 2.10/0.63 % (1111838)Termination reason: Instruction limit
% 2.10/0.63 % (1111838)Termination phase: shuffling
% 2.10/0.63 % (1111838)Time elapsed: 0.002 s
% 2.10/0.63 % (1111838)Peak memory usage: 10 MB
% 2.10/0.63 % (1111838)Instructions burned: 8 (million)
% 2.10/0.63 % (1111834)Instruction limit reached!
% 2.10/0.63 % (1111834)------------------------------
% 2.10/0.63 % (1111834)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.10/0.63 % (1111834)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.10/0.63 % (1111834)CaDiCaL version: 2.1.3
% 2.10/0.63 % (1111834)Termination reason: Instruction limit
% 2.10/0.63 % (1111834)Termination phase: shuffling
% 2.10/0.63 % (1111834)Time elapsed: 0.007 s
% 2.10/0.63 % (1111834)Peak memory usage: 10 MB
% 2.10/0.63 % (1111834)Instructions burned: 16 (million)
% 2.10/0.63 % (1111851)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=3048909363:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 2.10/0.63 % (1111843)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=709331133:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 2.10/0.63 % (1111845)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=707488989:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 2.10/0.63 % (1111851)Instruction limit reached!
% 2.10/0.63 % (1111851)------------------------------
% 2.10/0.63 % (1111851)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.10/0.63 % (1111851)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.10/0.63 % (1111851)CaDiCaL version: 2.1.3
% 2.10/0.63 % (1111851)Termination reason: Instruction limit
% 2.10/0.63 % (1111851)Termination phase: shuffling
% 2.10/0.63 % (1111851)Time elapsed: 0.006 s
% 2.10/0.63 % (1111851)Peak memory usage: 10 MB
% 2.10/0.63 % (1111851)Instructions burned: 27 (million)
% 2.10/0.63 % (1111845)Instruction limit reached!
% 2.10/0.63 % (1111845)------------------------------
% 2.10/0.63 % (1111845)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.10/0.63 % (1111845)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.10/0.69 % (1111845)CaDiCaL version: 2.1.3
% 2.10/0.69 % (1111845)Termination reason: Instruction limit
% 2.10/0.69 % (1111845)Termination phase: shuffling
% 2.10/0.69 % (1111845)Time elapsed: 0.004 s
% 2.10/0.69 % (1111845)Peak memory usage: 10 MB
% 2.10/0.69 % (1111845)Instructions burned: 8 (million)
% 2.10/0.69 % (1111830)Instruction limit reached!
% 2.10/0.69 % (1111830)------------------------------
% 2.10/0.69 % (1111830)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.10/0.69 % (1111830)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.10/0.69 % (1111830)CaDiCaL version: 2.1.3
% 2.10/0.69 % (1111830)Termination reason: Instruction limit
% 2.10/0.69 % (1111830)Termination phase: Preprocessing 3
% 2.10/0.69 % (1111830)Time elapsed: 0.028 s
% 2.10/0.69 % (1111830)Peak memory usage: 12 MB
% 2.10/0.69 % (1111830)Instructions burned: 60 (million)
% 2.10/0.69 % (1111852)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=805519673:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 2.10/0.69 % (1111843)Instruction limit reached!
% 2.10/0.69 % (1111843)------------------------------
% 2.10/0.69 % (1111843)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.10/0.69 % (1111843)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.10/0.69 % (1111843)CaDiCaL version: 2.1.3
% 2.10/0.69 % (1111843)Termination reason: Instruction limit
% 2.10/0.69 % (1111843)Termination phase: Property scanning
% 2.10/0.69 % (1111843)Time elapsed: 0.014 s
% 2.10/0.69 % (1111843)Peak memory usage: 11 MB
% 2.10/0.69 % (1111843)Instructions burned: 32 (million)
% 2.10/0.69 % (1111861)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=2794217075:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 2.10/0.69 % (1111852)Instruction limit reached!
% 2.10/0.69 % (1111852)------------------------------
% 2.10/0.69 % (1111852)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.10/0.69 % (1111852)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.10/0.69 % (1111852)CaDiCaL version: 2.1.3
% 2.10/0.69 % (1111852)Termination reason: Instruction limit
% 2.10/0.69 % (1111852)Termination phase: shuffling
% 2.10/0.69 % (1111852)Time elapsed: 0.010 s
% 2.10/0.69 % (1111852)Peak memory usage: 10 MB
% 2.10/0.69 % (1111852)Instructions burned: 21 (million)
% 2.10/0.69 % (1111862)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=439912854:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/143Mi)
% 2.10/0.69 % (1111863)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=3836749894:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/193Mi)
% 2.10/0.69 % (1111866)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3216330922:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 2.10/0.69 % (1111870)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.10/0.69 % (1111870)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1641017245:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 2.10/0.69 % (1111870)Instruction limit reached!
% 2.10/0.69 % (1111870)------------------------------
% 2.10/0.69 % (1111870)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.10/0.69 % (1111870)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.10/0.69 % (1111870)CaDiCaL version: 2.1.3
% 2.10/0.69 % (1111870)Termination reason: Instruction limit
% 2.10/0.69 % (1111870)Termination phase: shuffling
% 2.10/0.69 % (1111870)Time elapsed: 0.004 s
% 2.10/0.69 % (1111870)Peak memory usage: 10 MB
% 2.10/0.69 % (1111870)Instructions burned: 7 (million)
% 2.10/0.69 % (1111866)Instruction limit reached!
% 2.10/0.69 % (1111866)------------------------------
% 2.10/0.69 % (1111866)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.10/0.69 % (1111866)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.10/0.69 % (1111866)CaDiCaL version: 2.1.3
% 2.10/0.69 % (1111866)Termination reason: Instruction limit
% 2.10/0.69 % (1111866)Termination phase: Property scanning
% 2.10/0.69 % (1111866)Time elapsed: 0.020 s
% 2.10/0.69 % (1111866)Peak memory usage: 11 MB
% 2.10/0.69 % (1111866)Instructions burned: 42 (million)
% 2.10/0.69 % (1111887)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=3824232802:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 2.57/0.78 % (1111893)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=1708812837: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)
% 2.57/0.78 % (1111862)Instruction limit reached!
% 2.57/0.78 % (1111862)------------------------------
% 2.57/0.78 % (1111862)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.57/0.78 % (1111862)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.57/0.78 % (1111862)CaDiCaL version: 2.1.3
% 2.57/0.78 % (1111862)Termination reason: Instruction limit
% 2.57/0.78 % (1111862)Termination phase: Saturation
% 2.57/0.78 % (1111862)Time elapsed: 0.060 s
% 2.57/0.78 % (1111862)Peak memory usage: 13 MB
% 2.57/0.78 % (1111862)Instructions burned: 143 (million)
% 2.57/0.78 % (1111913)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.57/0.78 % (1111813)Instruction limit reached!
% 2.57/0.78 % (1111813)------------------------------
% 2.57/0.78 % (1111813)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.57/0.78 % (1111813)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.57/0.78 % (1111813)CaDiCaL version: 2.1.3
% 2.57/0.78 % (1111813)Termination reason: Instruction limit
% 2.57/0.78 % (1111813)Termination phase: Saturation
% 2.57/0.78 % (1111813)Time elapsed: 0.156 s
% 2.57/0.78 % (1111813)Peak memory usage: 15 MB
% 2.57/0.78 % (1111813)Instructions burned: 329 (million)
% 2.57/0.78 % (1111913)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=3329634387:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 2.57/0.78 % (1111913)Instruction limit reached!
% 2.57/0.78 % (1111913)------------------------------
% 2.57/0.78 % (1111913)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.57/0.78 % (1111913)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.57/0.78 % (1111913)CaDiCaL version: 2.1.3
% 2.57/0.78 % (1111913)Termination reason: Instruction limit
% 2.57/0.78 % (1111913)Termination phase: shuffling
% 2.57/0.78 % (1111913)Time elapsed: 0.003 s
% 2.57/0.78 % (1111913)Peak memory usage: 10 MB
% 2.57/0.78 % (1111913)Instructions burned: 7 (million)
% 2.57/0.78 % (1111863)Instruction limit reached!
% 2.57/0.78 % (1111863)------------------------------
% 2.57/0.78 % (1111863)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.57/0.78 % (1111863)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.57/0.78 % (1111863)CaDiCaL version: 2.1.3
% 2.57/0.78 % (1111863)Termination reason: Instruction limit
% 2.57/0.78 % (1111863)Termination phase: Saturation
% 2.57/0.78 % (1111863)Time elapsed: 0.083 s
% 2.57/0.78 % (1111863)Peak memory usage: 14 MB
% 2.57/0.78 % (1111863)Instructions burned: 193 (million)
% 2.57/0.78 % (1111918)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=2551285438:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2997 on theBenchmark for (2997ds/22Mi)
% 2.57/0.78 % (1111921)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=672158351:i=19:add=on:rtra=on_2997 on theBenchmark for (2997ds/19Mi)
% 2.57/0.78 % (1111922)ott+10_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:lma=off:plsqr=128,1:urr=ec_only:uwa=off:rp=on:nwc=20:br=off:random_seed=2005911559:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/316Mi)
% 2.57/0.78 % (1111918)Instruction limit reached!
% 2.57/0.78 % (1111918)------------------------------
% 2.57/0.78 % (1111918)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.57/0.78 % (1111918)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.57/0.78 % (1111918)CaDiCaL version: 2.1.3
% 2.57/0.78 % (1111918)Termination reason: Instruction limit
% 2.57/0.78 % (1111918)Termination phase: shuffling
% 2.57/0.78 % (1111918)Time elapsed: 0.011 s
% 2.57/0.78 % (1111918)Peak memory usage: 10 MB
% 2.57/0.78 % (1111918)Instructions burned: 24 (million)
% 2.57/0.78 % (1111921)Instruction limit reached!
% 2.57/0.78 % (1111921)------------------------------
% 2.57/0.78 % (1111921)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.09/0.85 % (1111921)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.09/0.85 % (1111921)CaDiCaL version: 2.1.3
% 3.09/0.85 % (1111921)Termination reason: Instruction limit
% 3.09/0.85 % (1111921)Termination phase: shuffling
% 3.09/0.85 % (1111921)Time elapsed: 0.009 s
% 3.09/0.85 % (1111921)Peak memory usage: 10 MB
% 3.09/0.85 % (1111921)Instructions burned: 21 (million)
% 3.09/0.85 % (1111887)Instruction limit reached!
% 3.09/0.85 % (1111887)------------------------------
% 3.09/0.85 % (1111887)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.09/0.85 % (1111887)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.09/0.85 % (1111887)CaDiCaL version: 2.1.3
% 3.09/0.85 % (1111887)Termination reason: Instruction limit
% 3.09/0.85 % (1111887)Termination phase: Saturation
% 3.09/0.85 % (1111887)Time elapsed: 0.080 s
% 3.09/0.85 % (1111887)Peak memory usage: 14 MB
% 3.09/0.85 % (1111887)Instructions burned: 181 (million)
% 3.09/0.85 % (1111893)Instruction limit reached!
% 3.09/0.85 % (1111893)------------------------------
% 3.09/0.85 % (1111893)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.09/0.85 % (1111893)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.09/0.85 % (1111893)CaDiCaL version: 2.1.3
% 3.09/0.85 % (1111893)Termination reason: Instruction limit
% 3.09/0.85 % (1111893)Termination phase: Saturation
% 3.09/0.85 % (1111893)Time elapsed: 0.072 s
% 3.09/0.85 % (1111893)Peak memory usage: 14 MB
% 3.09/0.85 % (1111893)Instructions burned: 170 (million)
% 3.09/0.85 % (1111926)dis+1004_4:1_slsqr=1,2:to=lpo:plsq=on:fde=unused:e2e=on:si=on:spb=goal_then_units:acc=on:urr=on:uwa=off:fd=preordered:s2agt=16:slsqc=1:slsq=on:random_seed=472152369:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2996 on theBenchmark for (2996ds/853Mi)
% 3.09/0.85 % (1111927)dis+1003_3:4_to=kbo:plsq=on:prc=on:sims=off:e2e=on:si=on:spb=intro:acc=on:urr=on:uwa=off:foolp=on:s2agt=32:slsqc=3:slsq=on:random_seed=3302424825:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2996 on theBenchmark for (2996ds/45Mi)
% 3.09/0.85 % (1111928)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=3160559587:i=480:rtra=on_2996 on theBenchmark for (2996ds/480Mi)
% 3.09/0.85 % (1111929)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=2932759983:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2996 on theBenchmark for (2996ds/21Mi)
% 3.09/0.85 % (1111927)Instruction limit reached!
% 3.09/0.85 % (1111927)------------------------------
% 3.09/0.85 % (1111927)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.09/0.85 % (1111927)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.09/0.85 % (1111927)CaDiCaL version: 2.1.3
% 3.09/0.85 % (1111927)Termination reason: Instruction limit
% 3.09/0.85 % (1111927)Termination phase: Preprocessing 1
% 3.09/0.85 % (1111927)Time elapsed: 0.020 s
% 3.09/0.85 % (1111927)Peak memory usage: 11 MB
% 3.09/0.85 % (1111927)Instructions burned: 46 (million)
% 3.09/0.85 % (1111929)Instruction limit reached!
% 3.09/0.85 % (1111929)------------------------------
% 3.09/0.85 % (1111929)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.09/0.85 % (1111929)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.09/0.85 % (1111929)CaDiCaL version: 2.1.3
% 3.09/0.85 % (1111929)Termination reason: Instruction limit
% 3.09/0.85 % (1111929)Termination phase: shuffling
% 3.09/0.85 % (1111929)Time elapsed: 0.009 s
% 3.09/0.85 % (1111929)Peak memory usage: 10 MB
% 3.09/0.85 % (1111929)Instructions burned: 21 (million)
% 3.09/0.85 % (1111934)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 3.09/0.85 % (1111934)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=2708737524:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/200Mi)
% 3.09/0.85 % (1111750)Instruction limit reached!
% 3.09/0.85 % (1111750)------------------------------
% 3.09/0.85 % (1111750)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.09/0.85 % (1111750)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.09/0.85 % (1111750)CaDiCaL version: 2.1.3
% 3.09/0.85 % (1111750)Termination reason: Instruction limit
% 3.09/0.85 % (1111750)Termination phase: Saturation
% 3.09/0.85 % (1111750)Time elapsed: 0.339 s
% 3.09/0.85 % (1111750)Peak memory usage: 20 MB
% 3.09/0.85 % (1111750)Instructions burned: 634 (million)
% 3.09/0.85 % (1111935)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=183069405:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2996 on theBenchmark for (2996ds/13Mi)
% 3.09/0.85 % (1111935)Instruction limit reached!
% 3.09/0.85 % (1111935)------------------------------
% 3.09/0.85 % (1111935)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.09/0.85 % (1111935)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.09/0.85 % (1111935)CaDiCaL version: 2.1.3
% 3.09/0.85 % (1111935)Termination reason: Instruction limit
% 3.09/0.85 % (1111935)Termination phase: shuffling
% 3.09/0.85 % (1111935)Time elapsed: 0.006 s
% 3.09/0.85 % (1111935)Peak memory usage: 10 MB
% 3.09/0.85 % (1111935)Instructions burned: 14 (million)
% 3.09/0.85 % (1111938)lrs+1010_1_anc=none:slsqr=1,2:sil=128000:cnfonf=conj_eager:sas=cadical:si=on:hi=on:uwa=one_side_interpreted:rp=on:nwc=2:slsqc=3:slsq=on:random_seed=2109451598:i=66:s2at=3:nm=2:rtra=on:rawr=on_2996 on theBenchmark for (2996ds/66Mi)
% 3.09/0.85 % (1111939)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=95707473:i=51:fsr=off:rtra=on_2996 on theBenchmark for (2996ds/51Mi)
% 3.09/0.85 % (1111938)Instruction limit reached!
% 3.09/0.85 % (1111938)------------------------------
% 3.09/0.85 % (1111938)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.09/0.85 % (1111938)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.09/0.85 % (1111938)CaDiCaL version: 2.1.3
% 3.09/0.85 % (1111938)Termination reason: Instruction limit
% 3.09/0.85 % (1111938)Termination phase: Property scanning
% 3.09/0.85 % (1111938)Time elapsed: 0.028 s
% 3.09/0.85 % (1111938)Peak memory usage: 11 MB
% 3.09/0.85 % (1111938)Instructions burned: 66 (million)
% 3.09/0.85 % (1111939)Instruction limit reached!
% 3.09/0.85 % (1111939)------------------------------
% 3.09/0.85 % (1111939)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.09/0.85 % (1111939)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.09/0.85 % (1111939)CaDiCaL version: 2.1.3
% 3.09/0.85 % (1111939)Termination reason: Instruction limit
% 3.09/0.85 % (1111939)Termination phase: Preprocessing 3
% 3.09/0.85 % (1111939)Time elapsed: 0.022 s
% 3.09/0.85 % (1111939)Peak memory usage: 11 MB
% 3.09/0.85 % (1111939)Instructions burned: 51 (million)
% 3.09/0.85 % (1111942)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=3027699375:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/31Mi)
% 3.09/0.85 % (1111943)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=915111359:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2995 on theBenchmark for (2995ds/137Mi)
% 3.09/0.85 % (1111922)Instruction limit reached!
% 3.09/0.85 % (1111922)------------------------------
% 3.09/0.85 % (1111922)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.09/0.85 % (1111922)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.09/0.85 % (1111922)CaDiCaL version: 2.1.3
% 3.09/0.85 % (1111922)Termination reason: Instruction limit
% 3.09/0.85 % (1111922)Termination phase: Saturation
% 3.09/0.85 % (1111922)Time elapsed: 0.144 s
% 3.09/0.85 % (1111922)Peak memory usage: 15 MB
% 3.09/0.85 % (1111922)Instructions burned: 318 (million)
% 3.09/0.85 % (1111942)Instruction limit reached!
% 3.09/0.85 % (1111942)------------------------------
% 3.09/0.85 % (1111942)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.09/0.85 % (1111942)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.09/0.85 % (1111942)CaDiCaL version: 2.1.3
% 3.09/0.85 % (1111942)Termination reason: Instruction limit
% 3.09/0.85 % (1111942)Termination phase: Property scanning
% 3.09/0.85 % (1111942)Time elapsed: 0.014 s
% 3.09/0.85 % (1111942)Peak memory usage: 10 MB
% 3.09/0.85 % (1111942)Instructions burned: 31 (million)
% 3.09/0.85 % (1111934)Instruction limit reached!
% 3.09/0.85 % (1111934)------------------------------
% 3.09/0.85 % (1111934)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.09/0.85 % (1111934)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.09/0.85 % (1111934)CaDiCaL version: 2.1.3
% 3.09/0.85 % (1111934)Termination reason: Instruction limit
% 3.09/0.85 % (1111934)Termination phase: Saturation
% 3.09/0.85 % (1111934)Time elapsed: 0.087 s
% 3.09/0.85 % (1111934)Peak memory usage: 14 MB
% 3.09/0.85 % (1111934)Instructions burned: 200 (million)
% 3.09/0.85 % (1111946)dis+10_2_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_pi_sigma_gen:si=on:sp=occurrence:plsqr=5,1:bsr=on:plsql=on:random_seed=3241630284:cond=on:i=34:hud=10:nm=10:rtra=on_2995 on theBenchmark for (2995ds/34Mi)
% 3.09/0.85 % (1111947)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=3722883889:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2995 on theBenchmark for (2995ds/67Mi)
% 3.09/0.85 % (1111948)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 3.09/0.85 % (1111948)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=2403539803:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2995 on theBenchmark for (2995ds/180Mi)
% 3.09/0.85 % (1111946)Instruction limit reached!
% 3.09/0.85 % (1111946)------------------------------
% 3.09/0.85 % (1111946)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.09/0.85 % (1111946)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.09/0.85 % (1111946)CaDiCaL version: 2.1.3
% 3.09/0.85 % (1111946)Termination reason: Instruction limit
% 3.09/0.85 % (1111946)Termination phase: Property scanning
% 3.09/0.85 % (1111946)Time elapsed: 0.015 s
% 3.09/0.85 % (1111946)Peak memory usage: 10 MB
% 3.09/0.85 % (1111946)Instructions burned: 34 (million)
% 3.09/0.85 % (1111943)Instruction limit reached!
% 3.09/0.85 % (1111943)------------------------------
% 3.09/0.85 % (1111943)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.09/0.85 % (1111943)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.09/0.85 % (1111861)Instruction limit reached!
% 3.09/0.85 % (1111861)------------------------------
% 3.09/0.85 % (1111861)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.09/0.85 % (1111943)CaDiCaL version: 2.1.3
% 3.09/0.85 % (1111943)Termination reason: Instruction limit
% 3.09/0.85 % (1111943)Termination phase: Saturation
% 3.09/0.85 % (1111943)Time elapsed: 0.057 s
% 3.09/0.85 % (1111861)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.09/0.85 % (1111943)Peak memory usage: 13 MB
% 3.09/0.85 % (1111943)Instructions burned: 137 (million)
% 3.09/0.85 % (1111861)CaDiCaL version: 2.1.3
% 3.09/0.85 % (1111861)Termination reason: Instruction limit
% 3.09/0.85 % (1111861)Termination phase: Saturation
% 3.09/0.85 % (1111861)Time elapsed: 0.307 s
% 3.09/0.85 % (1111861)Peak memory usage: 19 MB
% 3.09/0.85 % (1111861)Instructions burned: 1244 (million)
% 3.09/0.85 % (1111947)Instruction limit reached!
% 3.09/0.85 % (1111947)------------------------------
% 3.09/0.85 % (1111947)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.09/0.85 % (1111947)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.09/0.85 % (1111947)CaDiCaL version: 2.1.3
% 3.09/0.85 % (1111947)Termination reason: Instruction limit
% 3.09/0.85 % (1111947)Termination phase: Property scanning
% 3.09/0.85 % (1111947)Time elapsed: 0.029 s
% 3.09/0.85 % (1111947)Peak memory usage: 11 MB
% 3.09/0.85 % (1111947)Instructions burned: 69 (million)
% 3.09/0.85 % (1111952)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=2776840730:st=2:i=246:sd=3:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/246Mi)
% 3.09/0.85 % (1111928) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1111727-1111928"...
% 3.09/0.85 % (1111954)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=219517298:i=427:sd=1:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/427Mi)
% 3.09/0.85 % (1111953)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=3249278911:cond=on:i=96:bd=all:rtra=on_2994 on theBenchmark for (2994ds/96Mi)
% 3.09/0.85 % (1111955)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1962788366:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/874Mi)
% 3.09/0.85 % (1111928)...printing done.
% 3.09/0.85 % (1111928)Refutation found. Thanks to Tanya!
% 3.09/0.85 % SZS status Theorem for theBenchmark
% 3.09/0.85 % SZS output start Proof for theBenchmark
% 3.09/0.85 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 3.09/0.85 thf(func_def_0, type, in: ($i > $i > $o)).
% 3.09/0.85 thf(func_def_1, type, exu: (($i > $o) > $o)).
% 3.09/0.85 thf(func_def_3, type, setextAx: $o).
% 3.09/0.85 thf(func_def_5, type, emptysetAx: $o).
% 3.09/0.85 thf(func_def_6, type, setadjoin: ($i > $i > $i)).
% 3.09/0.85 thf(func_def_7, type, setadjoinAx: $o).
% 3.09/0.85 thf(func_def_8, type, powerset: ($i > $i)).
% 3.09/0.85 thf(func_def_9, type, powersetAx: $o).
% 3.09/0.85 thf(func_def_10, type, setunion: ($i > $i)).
% 3.09/0.85 thf(func_def_11, type, setunionAx: $o).
% 3.09/0.85 thf(func_def_13, type, omega0Ax: $o).
% 3.09/0.85 thf(func_def_14, type, omegaSAx: $o).
% 3.09/0.85 thf(func_def_15, type, omegaIndAx: $o).
% 3.09/0.85 thf(func_def_16, type, replAx: $o).
% 3.09/0.85 thf(func_def_17, type, foundationAx: $o).
% 3.09/0.85 thf(func_def_18, type, wellorderingAx: $o).
% 3.09/0.85 thf(func_def_19, type, descr: (($i > $o) > $i)).
% 3.09/0.85 thf(func_def_20, type, descrp: $o).
% 3.09/0.85 thf(func_def_21, type, dsetconstr: ($i > ($i > $o) > $i)).
% 3.09/0.85 thf(func_def_22, type, dsetconstrI: $o).
% 3.09/0.85 thf(func_def_23, type, dsetconstrEL: $o).
% 3.09/0.85 thf(func_def_24, type, dsetconstrER: $o).
% 3.09/0.85 thf(func_def_25, type, exuE1: $o).
% 3.09/0.85 thf(func_def_26, type, prop2set: ($o > $i)).
% 3.09/0.85 thf(func_def_27, type, prop2setE: $o).
% 3.09/0.85 thf(func_def_28, type, emptysetE: $o).
% 3.09/0.85 thf(func_def_29, type, emptysetimpfalse: $o).
% 3.09/0.85 thf(func_def_30, type, notinemptyset: $o).
% 3.09/0.85 thf(func_def_31, type, exuE3e: $o).
% 3.09/0.85 thf(func_def_32, type, setext: $o).
% 3.09/0.85 thf(func_def_33, type, emptyI: $o).
% 3.09/0.85 thf(func_def_34, type, noeltsimpempty: $o).
% 3.09/0.85 thf(func_def_35, type, setbeta: $o).
% 3.09/0.85 thf(func_def_36, type, nonempty: ($i > $o)).
% 3.09/0.85 thf(func_def_37, type, nonemptyE1: $o).
% 3.09/0.85 thf(func_def_38, type, nonemptyI: $o).
% 3.09/0.85 thf(func_def_39, type, nonemptyI1: $o).
% 3.09/0.85 thf(func_def_40, type, setadjoinIL: $o).
% 3.09/0.85 thf(func_def_41, type, emptyinunitempty: $o).
% 3.09/0.85 thf(func_def_42, type, setadjoinIR: $o).
% 3.09/0.85 thf(func_def_43, type, setadjoinE: $o).
% 3.09/0.85 thf(func_def_44, type, setadjoinOr: $o).
% 3.09/0.85 thf(func_def_45, type, setoftrueEq: $o).
% 3.09/0.85 thf(func_def_46, type, powersetI: $o).
% 3.09/0.85 thf(func_def_47, type, emptyinPowerset: $o).
% 3.09/0.85 thf(func_def_48, type, emptyInPowerset: $o).
% 3.09/0.85 thf(func_def_49, type, powersetE: $o).
% 3.09/0.85 thf(func_def_50, type, setunionI: $o).
% 3.09/0.85 thf(func_def_51, type, setunionE: $o).
% 3.09/0.85 thf(func_def_52, type, subPowSU: $o).
% 3.09/0.85 thf(func_def_53, type, exuE2: $o).
% 3.09/0.85 thf(func_def_54, type, nonemptyImpWitness: $o).
% 3.09/0.85 thf(func_def_55, type, uniqinunit: $o).
% 3.09/0.85 thf(func_def_56, type, notinsingleton: $o).
% 3.09/0.85 thf(func_def_57, type, eqinunit: $o).
% 3.09/0.85 thf(func_def_58, type, singletonsswitch: $o).
% 3.09/0.85 thf(func_def_59, type, upairsetE: $o).
% 3.09/0.85 thf(func_def_60, type, upairsetIL: $o).
% 3.09/0.85 thf(func_def_61, type, upairsetIR: $o).
% 3.09/0.85 thf(func_def_62, type, emptyE1: $o).
% 3.09/0.85 thf(func_def_63, type, vacuousDall: $o).
% 3.09/0.85 thf(func_def_64, type, quantDeMorgan1: $o).
% 3.09/0.85 thf(func_def_65, type, quantDeMorgan2: $o).
% 3.09/0.85 thf(func_def_66, type, quantDeMorgan3: $o).
% 3.09/0.85 thf(func_def_67, type, quantDeMorgan4: $o).
% 3.09/0.85 thf(func_def_68, type, prop2setI: $o).
% 3.09/0.85 thf(func_def_69, type, set2prop: ($i > $o)).
% 3.09/0.85 thf(func_def_70, type, prop2set2propI: $o).
% 3.09/0.85 thf(func_def_71, type, notdexE: $o).
% 3.09/0.85 thf(func_def_72, type, notdallE: $o).
% 3.09/0.85 thf(func_def_73, type, exuI1: $o).
% 3.09/0.85 thf(func_def_74, type, exuI3: $o).
% 3.09/0.85 thf(func_def_75, type, exuI2: $o).
% 3.09/0.85 thf(func_def_76, type, inCongP: $o).
% 3.09/0.85 thf(func_def_77, type, in__Cong: $o).
% 3.09/0.85 thf(func_def_78, type, exuE3u: $o).
% 3.09/0.85 thf(func_def_79, type, exu__Cong: $o).
% 3.09/0.85 thf(func_def_80, type, emptyset__Cong: $o).
% 3.09/0.85 thf(func_def_81, type, setadjoin__Cong: $o).
% 3.09/0.85 thf(func_def_82, type, powerset__Cong: $o).
% 3.09/0.85 thf(func_def_83, type, setunion__Cong: $o).
% 3.09/0.85 thf(func_def_84, type, omega__Cong: $o).
% 3.09/0.85 thf(func_def_85, type, exuEu: $o).
% 3.09/0.85 thf(func_def_86, type, descr__Cong: $o).
% 3.09/0.85 thf(func_def_87, type, dsetconstr__Cong: $o).
% 3.09/0.85 thf(func_def_88, type, subset: ($i > $i > $o)).
% 3.09/0.85 thf(func_def_89, type, disjoint: ($i > $i > $o)).
% 3.09/0.85 thf(func_def_90, type, setsmeet: ($i > $i > $o)).
% 3.09/0.85 thf(func_def_91, type, subsetI1: $o).
% 3.09/0.85 thf(func_def_92, type, eqimpsubset2: $o).
% 3.09/0.85 thf(func_def_93, type, eqimpsubset1: $o).
% 3.09/0.85 thf(func_def_94, type, subsetI2: $o).
% 3.09/0.85 thf(func_def_95, type, emptysetsubset: $o).
% 3.09/0.85 thf(func_def_96, type, subsetE: $o).
% 3.09/0.85 thf(func_def_97, type, subsetE2: $o).
% 3.09/0.85 thf(func_def_98, type, notsubsetI: $o).
% 3.09/0.85 thf(func_def_99, type, notequalI1: $o).
% 3.09/0.85 thf(func_def_100, type, notequalI2: $o).
% 3.09/0.85 thf(func_def_101, type, subsetRefl: $o).
% 3.09/0.85 thf(func_def_102, type, subsetTrans: $o).
% 3.09/0.85 thf(func_def_103, type, setadjoinSub: $o).
% 3.09/0.85 thf(func_def_104, type, setadjoinSub2: $o).
% 3.09/0.85 thf(func_def_105, type, subset2powerset: $o).
% 3.09/0.85 thf(func_def_106, type, setextsub: $o).
% 3.09/0.85 thf(func_def_107, type, subsetemptysetimpeq: $o).
% 3.09/0.85 thf(func_def_108, type, powersetI1: $o).
% 3.09/0.85 thf(func_def_109, type, powersetE1: $o).
% 3.09/0.85 thf(func_def_110, type, inPowerset: $o).
% 3.09/0.85 thf(func_def_111, type, powersetsubset: $o).
% 3.09/0.85 thf(func_def_112, type, sepInPowerset: $o).
% 3.09/0.85 thf(func_def_113, type, sepSubset: $o).
% 3.09/0.85 thf(func_def_114, type, binunion: ($i > $i > $i)).
% 3.09/0.85 thf(func_def_115, type, binunionIL: $o).
% 3.09/0.85 thf(func_def_116, type, upairset2IR: $o).
% 3.09/0.85 thf(func_def_117, type, binunionIR: $o).
% 3.09/0.85 thf(func_def_118, type, binunionEcases: $o).
% 3.09/0.85 thf(func_def_119, type, binunionE: $o).
% 3.09/0.85 thf(func_def_120, type, binunionLsub: $o).
% 3.09/0.85 thf(func_def_121, type, binunionRsub: $o).
% 3.09/0.85 thf(func_def_122, type, binintersect: ($i > $i > $i)).
% 3.09/0.85 thf(func_def_123, type, binintersectI: $o).
% 3.09/0.85 thf(func_def_124, type, binintersectSubset5: $o).
% 3.09/0.85 thf(func_def_125, type, binintersectEL: $o).
% 3.09/0.85 thf(func_def_126, type, binintersectLsub: $o).
% 3.09/0.85 thf(func_def_127, type, binintersectSubset2: $o).
% 3.09/0.85 thf(func_def_128, type, binintersectSubset3: $o).
% 3.09/0.85 thf(func_def_129, type, binintersectER: $o).
% 3.09/0.85 thf(func_def_130, type, disjointsetsI1: $o).
% 3.09/0.85 thf(func_def_131, type, binintersectRsub: $o).
% 3.09/0.85 thf(func_def_132, type, binintersectSubset4: $o).
% 3.09/0.85 thf(func_def_133, type, binintersectSubset1: $o).
% 3.09/0.85 thf(func_def_134, type, bs114d: $o).
% 3.09/0.85 thf(func_def_135, type, regular: ($i > $o)).
% 3.09/0.85 thf(func_def_136, type, setminus: ($i > $i > $i)).
% 3.09/0.85 thf(func_def_137, type, setminusI: $o).
% 3.09/0.85 thf(func_def_138, type, setminusEL: $o).
% 3.09/0.85 thf(func_def_139, type, setminusER: $o).
% 3.09/0.85 thf(func_def_140, type, setminusSubset2: $o).
% 3.09/0.85 thf(func_def_141, type, setminusERneg: $o).
% 3.09/0.85 thf(func_def_142, type, setminusELneg: $o).
% 3.09/0.85 thf(func_def_143, type, setminusILneg: $o).
% 3.09/0.85 thf(func_def_144, type, setminusIRneg: $o).
% 3.09/0.85 thf(func_def_145, type, setminusLsub: $o).
% 3.09/0.85 thf(func_def_146, type, setminusSubset1: $o).
% 3.09/0.85 thf(func_def_147, type, symdiff: ($i > $i > $i)).
% 3.09/0.85 thf(func_def_148, type, symdiffE: $o).
% 3.09/0.85 thf(func_def_149, type, symdiffI1: $o).
% 3.09/0.85 thf(func_def_150, type, symdiffI2: $o).
% 3.09/0.85 thf(func_def_151, type, symdiffIneg1: $o).
% 3.09/0.85 thf(func_def_152, type, symdiffIneg2: $o).
% 3.09/0.85 thf(func_def_153, type, iskpair: ($i > $o)).
% 3.09/0.85 thf(func_def_154, type, secondinupair: $o).
% 3.09/0.85 thf(func_def_155, type, setukpairIL: $o).
% 3.09/0.85 thf(func_def_156, type, setukpairIR: $o).
% 3.09/0.85 thf(func_def_157, type, kpairiskpair: $o).
% 3.09/0.85 thf(func_def_158, type, kpair: ($i > $i > $i)).
% 3.09/0.85 thf(func_def_159, type, kpairp: $o).
% 3.09/0.85 thf(func_def_160, type, cartprod: ($i > $i > $i)).
% 3.09/0.85 thf(func_def_161, type, singletonsubset: $o).
% 3.09/0.85 thf(func_def_162, type, singletoninpowerset: $o).
% 3.09/0.85 thf(func_def_163, type, singletoninpowunion: $o).
% 3.09/0.85 thf(func_def_164, type, upairset2E: $o).
% 3.09/0.85 thf(func_def_165, type, upairsubunion: $o).
% 3.09/0.85 thf(func_def_166, type, upairinpowunion: $o).
% 3.09/0.85 thf(func_def_167, type, ubforcartprodlem1: $o).
% 3.09/0.85 thf(func_def_168, type, ubforcartprodlem2: $o).
% 3.09/0.85 thf(func_def_169, type, ubforcartprodlem3: $o).
% 3.09/0.85 thf(func_def_170, type, cartprodpairin: $o).
% 3.09/0.85 thf(func_def_171, type, cartprodmempair1: $o).
% 3.09/0.85 thf(func_def_172, type, cartprodmempair: $o).
% 3.09/0.85 thf(func_def_173, type, setunionE2: $o).
% 3.09/0.85 thf(func_def_174, type, setunionsingleton1: $o).
% 3.09/0.85 thf(func_def_175, type, setunionsingleton2: $o).
% 3.09/0.85 thf(func_def_176, type, setunionsingleton: $o).
% 3.09/0.85 thf(func_def_177, type, singleton: ($i > $o)).
% 3.09/0.85 thf(func_def_178, type, singletonprop: $o).
% 3.09/0.85 thf(func_def_179, type, ex1: ($i > ($i > $o) > $o)).
% 3.09/0.85 thf(func_def_180, type, ex1E1: $o).
% 3.09/0.85 thf(func_def_181, type, ex1I: $o).
% 3.09/0.85 thf(func_def_182, type, ex1I2: $o).
% 3.09/0.85 thf(func_def_183, type, singletonsuniq: $o).
% 3.09/0.85 thf(func_def_184, type, atmost1p: ($i > $o)).
% 3.09/0.85 thf(func_def_185, type, atleast2p: ($i > $o)).
% 3.09/0.85 thf(func_def_186, type, atmost2p: ($i > $o)).
% 3.09/0.85 thf(func_def_187, type, upairsetp: ($i > $o)).
% 3.09/0.85 thf(func_def_188, type, setukpairinjL1: $o).
% 3.09/0.85 thf(func_def_189, type, kfstsingleton: $o).
% 3.09/0.85 thf(func_def_190, type, theprop: $o).
% 3.09/0.85 thf(func_def_191, type, kfst: ($i > $i)).
% 3.09/0.85 thf(func_def_192, type, kfstpairEq: $o).
% 3.09/0.85 thf(func_def_193, type, cartprodfstin: $o).
% 3.09/0.85 thf(func_def_194, type, setukpairinjL2: $o).
% 3.09/0.85 thf(func_def_195, type, setukpairinjL: $o).
% 3.09/0.85 thf(func_def_196, type, setukpairinjR11: $o).
% 3.09/0.85 thf(func_def_197, type, setukpairinjR12: $o).
% 3.09/0.85 thf(func_def_198, type, setukpairinjR1: $o).
% 3.09/0.85 thf(func_def_199, type, upairequniteq: $o).
% 3.09/0.85 thf(func_def_200, type, setukpairinjR2: $o).
% 3.09/0.85 thf(func_def_201, type, setukpairinjR: $o).
% 3.09/0.85 thf(func_def_202, type, ksndsingleton: $o).
% 3.09/0.85 thf(func_def_203, type, ksnd: ($i > $i)).
% 3.09/0.85 thf(func_def_204, type, ksndpairEq: $o).
% 3.09/0.85 thf(func_def_205, type, kpairsurjEq: $o).
% 3.09/0.85 thf(func_def_206, type, cartprodsndin: $o).
% 3.09/0.85 thf(func_def_207, type, cartprodpairmemEL: $o).
% 3.09/0.85 thf(func_def_208, type, cartprodpairmemER: $o).
% 3.09/0.85 thf(func_def_209, type, cartprodmempaircEq: $o).
% 3.09/0.85 thf(func_def_210, type, cartprodfstpairEq: $o).
% 3.09/0.85 thf(func_def_211, type, cartprodsndpairEq: $o).
% 3.09/0.85 thf(func_def_212, type, cartprodpairsurjEq: $o).
% 3.09/0.85 thf(func_def_213, type, breln: ($i > $i > $i > $o)).
% 3.09/0.85 thf(func_def_214, type, dpsetconstr: ($i > $i > ($i > $i > $o) > $i)).
% 3.09/0.85 thf(func_def_215, type, dpsetconstrI: $o).
% 3.09/0.85 thf(func_def_216, type, dpsetconstrSub: $o).
% 3.09/0.85 thf(func_def_217, type, setOfPairsIsBReln: $o).
% 3.09/0.85 thf(func_def_218, type, dpsetconstrERa: $o).
% 3.09/0.85 thf(func_def_219, type, dpsetconstrEL1: $o).
% 3.09/0.85 thf(func_def_220, type, dpsetconstrEL2: $o).
% 3.09/0.85 thf(func_def_221, type, dpsetconstrER: $o).
% 3.09/0.85 thf(func_def_222, type, func: ($i > $i > $i > $o)).
% 3.09/0.85 thf(func_def_223, type, funcSet: ($i > $i > $i)).
% 3.09/0.85 thf(func_def_224, type, funcImageSingleton: $o).
% 3.09/0.85 thf(func_def_225, type, apProp: $o).
% 3.09/0.85 thf(func_def_226, type, ap: ($i > $i > $i > $i > $i)).
% 3.09/0.85 thf(func_def_227, type, app: $o).
% 3.09/0.85 thf(func_def_228, type, infuncsetfunc: $o).
% 3.09/0.85 thf(func_def_229, type, ap2p: $o).
% 3.09/0.85 thf(func_def_230, type, funcinfuncset: $o).
% 3.09/0.85 thf(func_def_231, type, lamProp: $o).
% 3.09/0.85 thf(func_def_232, type, lam: ($i > $i > ($i > $i) > $i)).
% 3.09/0.85 thf(func_def_233, type, lamp: $o).
% 3.09/0.85 thf(func_def_234, type, lam2p: $o).
% 3.09/0.85 thf(func_def_235, type, brelnall1: $o).
% 3.09/0.85 thf(func_def_236, type, brelnall2: $o).
% 3.09/0.85 thf(func_def_237, type, ex1E2: $o).
% 3.09/0.85 thf(func_def_238, type, funcGraphProp1: $o).
% 3.09/0.85 thf(func_def_239, type, funcGraphProp3: $o).
% 3.09/0.85 thf(func_def_240, type, funcGraphProp2: $o).
% 3.09/0.85 thf(func_def_241, type, funcextLem: $o).
% 3.09/0.85 thf(func_def_242, type, funcGraphProp4: $o).
% 3.09/0.85 thf(func_def_243, type, subbreln: $o).
% 3.09/0.85 thf(func_def_244, type, eqbreln: $o).
% 3.09/0.85 thf(func_def_245, type, funcext: $o).
% 3.09/0.85 thf(func_def_248, type, db0: !>[X0: $tType]:(X0)).
% 3.09/0.85 thf(func_def_249, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 3.09/0.85 thf(func_def_250, type, db1: !>[X0: $tType]:(X0)).
% 3.09/0.85 thf(func_def_251, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 3.09/0.85 thf(func_def_252, type, vAND: ($o > $o > $o)).
% 3.09/0.85 thf(func_def_253, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 3.09/0.85 thf(func_def_254, type, db2: !>[X0: $tType]:(X0)).
% 3.09/0.85 thf(func_def_255, type, vNOT: ($o > $o)).
% 3.09/0.85 thf(func_def_256, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 3.09/0.85 thf(func_def_257, type, vIMP: ($o > $o > $o)).
% 3.09/0.85 thf(func_def_258, type, sP0: $o).
% 3.09/0.85 thf(func_def_259, type, sP1: ($i > $i > $i > $o > $o)).
% 3.09/0.85 thf(func_def_260, type, sP2: $o).
% 3.09/0.85 thf(func_def_261, type, sP3: ($i > $i > $o)).
% 3.09/0.85 thf(func_def_262, type, sP4: ($i > $o)).
% 3.09/0.85 thf(func_def_263, type, sP5: ($i > $i > $o)).
% 3.09/0.85 thf(func_def_264, type, sP6: ($i > $i > $o)).
% 3.09/0.85 thf(func_def_265, type, sP7: $o).
% 3.09/0.85 thf(func_def_266, type, sP8: $o).
% 3.09/0.85 thf(func_def_267, type, sP9: ($i > $i > $i > $i > $o)).
% 3.09/0.85 thf(func_def_268, type, sP10: $o).
% 3.09/0.85 thf(func_def_270, type, sK12: ($i > $o)).
% 3.09/0.85 thf(func_def_284, type, sK26: ($i > $i > $i > $i > $i)).
% 3.09/0.85 thf(func_def_297, type, sK39: ($i > $i > $i)).
% 3.09/0.85 thf(func_def_301, type, sK43: ($i > $i)).
% 3.09/0.85 thf(func_def_308, type, sK50: ($i > $o)).
% 3.09/0.85 thf(func_def_309, type, sK51: ($i > $o)).
% 3.09/0.85 thf(func_def_310, type, sK52: (($i > $o) > ($i > $o) > $i)).
% 3.09/0.85 thf(func_def_311, type, sK53: (($i > $o) > ($i > $o) > $i)).
% 3.09/0.85 thf(func_def_312, type, sK54: ($i > $i > ($i > $i) > $i)).
% 3.09/0.85 thf(func_def_313, type, sK55: ($i > $i)).
% 3.09/0.85 thf(func_def_320, type, sK62: ($i > $i > $o)).
% 3.09/0.85 thf(func_def_324, type, sK66: $o).
% 3.09/0.85 thf(func_def_329, type, sK71: ($i > $i > $i)).
% 3.09/0.85 thf(func_def_330, type, sK72: ($i > $i > $i)).
% 3.09/0.85 thf(func_def_331, type, sK73: ($i > $o)).
% 3.09/0.85 thf(func_def_338, type, sK80: ($i > $o)).
% 3.09/0.85 thf(func_def_339, type, sK81: ($i > ($i > $o) > $i)).
% 3.09/0.85 thf(func_def_340, type, sK82: ($i > $o)).
% 3.09/0.85 thf(func_def_351, type, sK93: ($i > ($i > $o) > $i)).
% 3.09/0.85 thf(func_def_352, type, sK94: ($i > $o)).
% 3.09/0.85 thf(func_def_357, type, sK99: (($i > $i) > $i > $i > $i)).
% 3.09/0.85 thf(func_def_360, type, sK102: ($i > $i)).
% 3.09/0.85 thf(func_def_369, type, sK111: ($i > $o)).
% 3.09/0.85 thf(func_def_371, type, sK113: (($i > $o) > $i > $i > $i > $i)).
% 3.09/0.85 thf(func_def_372, type, sK114: (($i > $o) > $i > $i > $i > $i)).
% 3.09/0.85 thf(func_def_385, type, sK127: ($i > $i > $i > $i > $i)).
% 3.09/0.85 thf(func_def_386, type, sK128: ($i > $i > $i > $i > $i)).
% 3.09/0.85 thf(func_def_390, type, sK132: ($i > $i > $o)).
% 3.09/0.85 thf(func_def_396, type, sK138: ($i > $i > $i)).
% 3.09/0.85 thf(func_def_400, type, sK142: ($i > $o)).
% 3.09/0.85 thf(func_def_407, type, sK149: $o).
% 3.09/0.85 thf(func_def_410, type, sK152: ($i > $o)).
% 3.09/0.85 thf(func_def_411, type, sK153: ($i > $o)).
% 3.09/0.85 thf(func_def_412, type, sK154: (($i > $o) > ($i > $o) > $i > $i > $i)).
% 3.09/0.85 thf(func_def_413, type, sK155: (($i > $o) > ($i > $o) > $i > $i > $i)).
% 3.09/0.85 thf(func_def_416, type, sK158: ($i > $o)).
% 3.09/0.85 thf(func_def_418, type, sK160: ($i > $i)).
% 3.09/0.85 thf(func_def_424, type, sK166: ($i > $o)).
% 3.09/0.85 thf(func_def_431, type, sK173: $o).
% 3.09/0.85 thf(func_def_432, type, sK174: (($i > $o) > $i)).
% 3.09/0.85 thf(func_def_433, type, sK175: (($i > $o) > $i)).
% 3.09/0.85 thf(func_def_434, type, sK176: ($i > $o)).
% 3.09/0.85 thf(func_def_436, type, sK178: ($i > $i > $o)).
% 3.09/0.85 thf(func_def_456, type, sK198: (($i > $o) > $i > $i)).
% 3.09/0.85 thf(func_def_458, type, sK200: ($i > $o)).
% 3.09/0.85 thf(func_def_464, type, sK206: ($i > $o)).
% 3.09/0.85 thf(func_def_482, type, sK224: ($i > $o)).
% 3.09/0.85 thf(func_def_484, type, sK226: (($i > $o) > $i > $i)).
% 3.09/0.85 thf(func_def_491, type, sK233: ($i > $o)).
% 3.09/0.85 thf(func_def_493, type, sK235: (($i > $o) > $i > $i)).
% 3.09/0.85 thf(func_def_494, type, sK236: (($i > $o) > $i > $i)).
% 3.09/0.85 thf(func_def_497, type, sK239: $o).
% 3.09/0.85 thf(func_def_507, type, sK249: $o).
% 3.09/0.85 thf(func_def_508, type, sK250: (($i > $o) > $i > $i > $i > $i)).
% 3.09/0.85 thf(func_def_509, type, sK251: (($i > $o) > $i > $i > $i > $i)).
% 3.09/0.85 thf(func_def_513, type, sK255: ($i > $o)).
% 3.09/0.85 thf(func_def_520, type, sK262: $o).
% 3.09/0.85 thf(func_def_525, type, sK267: (($i > $o) > $i > $i)).
% 3.09/0.85 thf(func_def_527, type, sK269: ($i > $o)).
% 3.09/0.85 thf(func_def_542, type, sK284: ($i > $i > $i > $i > $i)).
% 3.09/0.85 thf(func_def_550, type, sK292: ($i > $i > $i)).
% 3.09/0.85 thf(func_def_553, type, sK295: $o).
% 3.09/0.85 thf(func_def_557, type, sK299: ($i > $o)).
% 3.09/0.85 thf(func_def_569, type, sK311: ($i > $o)).
% 3.09/0.85 thf(func_def_571, type, sK313: ($i > ($i > $o) > $i > $i)).
% 3.09/0.85 thf(func_def_584, type, sK326: ($i > $i > $i)).
% 3.09/0.85 thf(func_def_585, type, sK327: ($i > $i > $i)).
% 3.09/0.85 thf(func_def_586, type, sK328: ($i > $i > $i)).
% 3.09/0.85 thf(func_def_587, type, sK329: ($i > $i > $i)).
% 3.09/0.85 thf(func_def_588, type, sK330: ($i > $i > $i)).
% 3.09/0.85 thf(func_def_589, type, sK331: ($i > $i > $i > $i)).
% 3.09/0.85 thf(func_def_590, type, sK332: ($i > $i)).
% 3.09/0.85 thf(func_def_591, type, sK333: ($i > $i)).
% 3.09/0.85 thf(func_def_592, type, sK334: ($i > $i)).
% 3.09/0.85 thf(func_def_593, type, sK335: ($i > $i)).
% 3.09/0.85 thf(func_def_594, type, sK336: ($i > $i > $i)).
% 3.09/0.85 thf(func_def_595, type, sK337: ($i > $i > $i > $i)).
% 3.09/0.85 thf(func_def_596, type, sK338: ($i > $i > $i > $i)).
% 3.09/0.85 thf(func_def_597, type, sK339: ($i > $i > $i)).
% 3.09/0.85 thf(func_def_598, type, sK340: ($i > $i > $i)).
% 3.09/0.85 thf(func_def_600, type, sK342: ($i > $i)).
% 3.09/0.85 thf(func_def_601, type, sK343: ($i > $i)).
% 3.09/0.85 thf(func_def_602, type, sK344: ($i > $i)).
% 3.09/0.85 thf(func_def_603, type, sK345: ($i > $i > $i)).
% 3.09/0.85 thf(func_def_605, type, sK347: ($i > $i > $o)).
% 3.09/0.85 thf(func_def_606, type, sK348: ($i > $i)).
% 3.09/0.85 thf(func_def_607, type, sK349: ($i > $i)).
% 3.09/0.85 thf(func_def_608, type, sK350: (($i > $i > $o) > $i > $i)).
% 3.09/0.85 thf(func_def_609, type, sK351: ($i > ($i > $i > $o) > $i > $i)).
% 3.09/0.85 thf(func_def_610, type, sK352: (($i > $i > $o) > $i > $i)).
% 3.09/0.85 thf(func_def_613, type, sK355: (($i > $o) > $i)).
% 3.09/0.85 thf(func_def_614, type, sK356: ($i > $o)).
% 3.09/0.85 thf(func_def_616, type, sK358: ($i > $i > ($i > $i) > $i)).
% 3.09/0.85 thf(func_def_617, type, sK359: ($i > $i)).
% 3.09/0.85 thf(func_def_624, type, sK366: ($i > $i > $o)).
% 3.09/0.85 thf(func_def_631, type, sK373: ($i > $i)).
% 3.09/0.85 thf(func_def_635, type, sK377: ($i > $i > $i)).
% 3.09/0.85 thf(func_def_648, type, sK390: ($i > $i > $o)).
% 3.09/0.85 thf(func_def_654, type, sK396: ($i > $o)).
% 3.09/0.85 thf(func_def_655, type, sK397: ($i > $i)).
% 3.09/0.85 thf(func_def_656, type, sK398: (($i > $o) > $i)).
% 3.09/0.85 thf(func_def_678, type, sK420: ($i > $o)).
% 3.09/0.85 thf(func_def_680, type, sK422: (($i > $o) > $i > $i)).
% 3.09/0.85 thf(func_def_684, type, sK426: ($i > $i > $o)).
% 3.09/0.85 thf(func_def_691, type, sK433: ($i > ($i > $o) > $i)).
% 3.09/0.85 thf(func_def_692, type, sK434: ($i > $o)).
% 3.09/0.85 thf(func_def_696, type, sK438: ($i > $o)).
% 3.09/0.85 thf(func_def_698, type, sK440: (($i > $o) > $i > $i)).
% 3.09/0.85 thf(func_def_727, type, sK469: ($i > ($i > $o) > $i)).
% 3.09/0.85 thf(func_def_728, type, sK470: ($i > $o)).
% 3.09/0.85 thf(func_def_731, type, sK473: ($i > $o)).
% 3.09/0.85 thf(func_def_741, type, sK483: (($i > $o) > ($i > $o) > $i)).
% 3.09/0.85 thf(func_def_742, type, sK484: (($i > $o) > ($i > $o) > $i)).
% 3.09/0.85 thf(func_def_743, type, sK485: ($i > $o)).
% 3.09/0.85 thf(func_def_744, type, sK486: ($i > $o)).
% 3.09/0.85 thf(func_def_747, type, sK489: ($i > $i)).
% 3.09/0.85 thf(func_def_748, type, sK490: ($i > $i)).
% 3.09/0.85 thf(func_def_750, type, sK492: ($i > $o)).
% 3.09/0.85 thf(func_def_752, type, sK494: (($i > $o) > $i > $i)).
% 3.09/0.85 thf(func_def_753, type, sK495: (($i > $o) > $i > $i)).
% 3.09/0.85 thf(func_def_754, type, sK496: ($i > $i > $i)).
% 3.09/0.85 thf(func_def_758, type, sK500: ($i > $o)).
% 3.09/0.85 thf(func_def_766, type, sK508: ($i > $i)).
% 3.09/0.85 thf(func_def_771, type, sK513: $o).
% 3.09/0.85 thf(func_def_772, type, sK514: ($o > $i > $i > $i)).
% 3.09/0.85 thf(func_def_774, type, sK516: ($i > $i)).
% 3.09/0.85 thf(func_def_793, type, sK535: ($i > $i > $i > $i > $i)).
% 3.09/0.85 thf(func_def_794, type, sK536: ($i > $i > $i > $i > $i)).
% 3.09/0.85 thf(func_def_795, type, sK537: ($i > $i > $i > $i > $i)).
% 3.09/0.85 thf(func_def_796, type, sK538: ($i > $i > $i > $i > $i)).
% 3.09/0.85 thf(func_def_805, type, sK547: ($i > $i > $i)).
% 3.09/0.85 thf(func_def_825, type, sK567: ($i > $i > $o)).
% 3.09/0.85 thf(func_def_838, type, sK580: ($i > $i > $i)).
% 3.09/0.85 thf(func_def_845, type, sK587: (($i > $o) > $i)).
% 3.09/0.85 thf(func_def_846, type, sK588: ($i > $o)).
% 3.09/0.85 thf(func_def_847, type, sK589: ($i > $i)).
% 3.09/0.85 thf(func_def_862, type, sK604: ($i > $o)).
% 3.09/0.85 thf(func_def_876, type, sK618: ($i > $i > $i > $i)).
% 3.09/0.85 thf(func_def_877, type, sK619: ($i > $i > $i > $i)).
% 3.09/0.85 thf(func_def_885, type, sK627: ($i > $o)).
% 3.09/0.85 thf(func_def_897, type, sK639: ($i > $o)).
% 3.09/0.85 thf(f197,axiom,(
% 3.09/0.85 (! [X0 : $i,X1 : $i,X2 : $i] : ((in @ X2 @ (funcSet @ X0 @ X1)) => (func @ X0 @ X1 @ X2)) = infuncsetfunc)),
% 3.09/0.85 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',infuncsetfunc)).
% 3.09/0.85 thf(f214,axiom,(
% 3.09/0.85 (! [X1 : $i,X2 : $i,X0 : $i] : ((func @ X0 @ X1 @ X2) => ! [X3 : $i] : ((func @ X0 @ X1 @ X3) => (! [X4 : $i] : ((in @ X4 @ X0) => (((ap @ X0 @ X1 @ X2 @ X4)) = ((ap @ X0 @ X1 @ X3 @ X4)))) => (X2 = X3)))) = funcext)),
% 3.09/0.85 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',funcext)).
% 3.09/0.85 thf(f215,conjecture,(
% 3.09/0.85 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 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => ! [X1 : $i,X0 : $i,X2 : $i] : ((in @ X2 @ (funcSet @ X0 @ X1)) => ! [X3 : $i] : ((in @ X3 @ (funcSet @ X0 @ X1)) => (! [X4 : $i] : ((in @ X4 @ X0) => (((ap @ X0 @ X1 @ X2 @ X4)) = ((ap @ X0 @ X1 @ X3 @ X4)))) => (X2 = X3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 3.09/0.85 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',funcext2)).
% 3.09/0.85 thf(f216,negated_conjecture,(
% 3.09/0.85 ~(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 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => ! [X1 : $i,X0 : $i,X2 : $i] : ((in @ X2 @ (funcSet @ X0 @ X1)) => ! [X3 : $i] : ((in @ X3 @ (funcSet @ X0 @ X1)) => (! [X4 : $i] : ((in @ X4 @ X0) => (((ap @ X0 @ X1 @ X2 @ X4)) = ((ap @ X0 @ X1 @ X3 @ X4)))) => (X2 = X3))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 3.09/0.85 inference(negated_conjecture,[status(cth)],[f215])).
% 3.09/0.85 thf(f217,plain,(
% 3.09/0.85 (! [X0 : $i,X1 : $i,X2 : $i] : ((in @ X2 @ (funcSet @ X0 @ X1)) => (func @ X0 @ X1 @ X2)) = infuncsetfunc)),
% 3.09/0.85 inference(rectify,[],[f197])).
% 3.09/0.85 thf(f218,plain,(
% 3.09/0.85 (infuncsetfunc = $true) <=> ! [X2 : $i,X1 : $i,X0 : $i] : ((((in @ X2 @ (funcSet @ X0 @ X1))) = $true) => (((func @ X0 @ X1 @ X2)) = $true))),
% 3.09/0.85 inference(fool_elimination,[],[f217])).
% 3.09/0.85 thf(f317,plain,(
% 3.09/0.85 (! [X0 : $i,X1 : $i,X2 : $i] : ((func @ X2 @ X0 @ X1) => ! [X3 : $i] : ((func @ X2 @ X0 @ X3) => (! [X4 : $i] : ((in @ X4 @ X2) => (((ap @ X2 @ X0 @ X3 @ X4)) = ((ap @ X2 @ X0 @ X1 @ X4)))) => (X1 = X3)))) = funcext)),
% 3.09/0.85 inference(rectify,[],[f214])).
% 3.09/0.85 thf(f318,plain,(
% 3.09/0.85 (funcext = $true) <=> ! [X1 : $i,X0 : $i,X2 : $i] : ((((func @ X2 @ X0 @ X1)) = $true) => ! [X3 : $i] : (($true = ((func @ X2 @ X0 @ X3))) => (! [X4 : $i] : ((((in @ X4 @ X2)) = $true) => (((ap @ X2 @ X0 @ X3 @ X4)) = ((ap @ X2 @ X0 @ X1 @ X4)))) => (X1 = X3))))),
% 3.09/0.85 inference(fool_elimination,[],[f317])).
% 3.09/0.85 thf(f367,plain,(
% 3.09/0.85 ~(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 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => ! [X0 : $i,X1 : $i,X2 : $i] : ((in @ X2 @ (funcSet @ X1 @ X0)) => ! [X3 : $i] : ((in @ X3 @ (funcSet @ X1 @ X0)) => (! [X4 : $i] : ((in @ X4 @ X1) => (((ap @ X1 @ X0 @ X2 @ X4)) = ((ap @ X1 @ X0 @ X3 @ X4)))) => (X2 = X3))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 3.09/0.85 inference(rectify,[],[f216])).
% 3.09/0.85 thf(f368,plain,(
% 3.09/0.85 ~((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) => ((cartprodmempair = $true) => ((setunionE2 = $true) => ((setunionsingleton1 = $true) => ((setunionsingleton2 = $true) => ((setunionsingleton = $true) => ((singletonprop = $true) => ((ex1E1 = $true) => ((ex1I = $true) => ((ex1I2 = $true) => ((singletonsuniq = $true) => ((setukpairinjL1 = $true) => ((kfstsingleton = $true) => ((theprop = $true) => ((kfstpairEq = $true) => ((cartprodfstin = $true) => ((setukpairinjL2 = $true) => ((setukpairinjL = $true) => ((setukpairinjR11 = $true) => ((setukpairinjR12 = $true) => ((setukpairinjR1 = $true) => ((upairequniteq = $true) => ((setukpairinjR2 = $true) => ((setukpairinjR = $true) => ((ksndsingleton = $true) => ((ksndpairEq = $true) => ((kpairsurjEq = $true) => ((cartprodsndin = $true) => ((cartprodpairmemEL = $true) => ((cartprodpairmemER = $true) => ((cartprodmempaircEq = $true) => ((cartprodfstpairEq = $true) => ((cartprodsndpairEq = $true) => ((cartprodpairsurjEq = $true) => ((dpsetconstrI = $true) => ((dpsetconstrSub = $true) => ((setOfPairsIsBReln = $true) => ((dpsetconstrERa = $true) => ((dpsetconstrEL1 = $true) => ((dpsetconstrEL2 = $true) => ((dpsetconstrER = $true) => ((funcImageSingleton = $true) => ((apProp = $true) => ((app = $true) => ((infuncsetfunc = $true) => ((ap2p = $true) => ((funcinfuncset = $true) => ((lamProp = $true) => ((lamp = $true) => ((lam2p = $true) => ((brelnall1 = $true) => ((brelnall2 = $true) => ((ex1E2 = $true) => ((funcGraphProp1 = $true) => ((funcGraphProp3 = $true) => ((funcGraphProp2 = $true) => ((funcextLem = $true) => ((funcGraphProp4 = $true) => ((subbreln = $true) => ((eqbreln = $true) => ((funcext = $true) => ! [X2 : $i,X1 : $i,X0 : $i] : ((((in @ X2 @ (funcSet @ X1 @ X0))) = $true) => ! [X3 : $i] : ((((in @ X3 @ (funcSet @ X1 @ X0))) = $true) => (! [X4 : $i] : ((((in @ X4 @ X1)) = $true) => (((ap @ X1 @ X0 @ X2 @ X4)) = ((ap @ X1 @ X0 @ X3 @ X4)))) => (X2 = X3))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 3.09/0.85 inference(fool_elimination,[],[f367])).
% 3.09/0.85 thf(f737,plain,(
% 3.09/0.85 (infuncsetfunc = $true) <=> ! [X1 : $i,X0 : $i,X2 : $i] : ((((in @ X2 @ (funcSet @ X0 @ X1))) != $true) | (((func @ X0 @ X1 @ X2)) = $true))),
% 3.09/0.85 inference(ennf_transformation,[],[f218])).
% 3.09/0.85 thf(f814,plain,(
% 3.09/0.85 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((? [X2 : $i,X1 : $i,X0 : $i] : (? [X3 : $i] : (((X2 != X3) & ! [X4 : $i] : ((((in @ X4 @ X1)) != $true) | (((ap @ X1 @ X0 @ X2 @ X4)) = ((ap @ X1 @ X0 @ X3 @ X4))))) & (((in @ X3 @ (funcSet @ X1 @ X0))) = $true)) & (((in @ X2 @ (funcSet @ X1 @ X0))) = $true)) & (funcext = $true)) & (eqbreln = $true)) & (subbreln = $true)) & (funcGraphProp4 = $true)) & (funcextLem = $true)) & (funcGraphProp2 = $true)) & (funcGraphProp3 = $true)) & (funcGraphProp1 = $true)) & (ex1E2 = $true)) & (brelnall2 = $true)) & (brelnall1 = $true)) & (lam2p = $true)) & (lamp = $true)) & (lamProp = $true)) & (funcinfuncset = $true)) & (ap2p = $true)) & (infuncsetfunc = $true)) & (app = $true)) & (apProp = $true)) & (funcImageSingleton = $true)) & (dpsetconstrER = $true)) & (dpsetconstrEL2 = $true)) & (dpsetconstrEL1 = $true)) & (dpsetconstrERa = $true)) & (setOfPairsIsBReln = $true)) & (dpsetconstrSub = $true)) & (dpsetconstrI = $true)) & (cartprodpairsurjEq = $true)) & (cartprodsndpairEq = $true)) & (cartprodfstpairEq = $true)) & (cartprodmempaircEq = $true)) & (cartprodpairmemER = $true)) & (cartprodpairmemEL = $true)) & (cartprodsndin = $true)) & (kpairsurjEq = $true)) & (ksndpairEq = $true)) & (ksndsingleton = $true)) & (setukpairinjR = $true)) & (setukpairinjR2 = $true)) & (upairequniteq = $true)) & (setukpairinjR1 = $true)) & (setukpairinjR12 = $true)) & (setukpairinjR11 = $true)) & (setukpairinjL = $true)) & (setukpairinjL2 = $true)) & (cartprodfstin = $true)) & (kfstpairEq = $true)) & (theprop = $true)) & (kfstsingleton = $true)) & (setukpairinjL1 = $true)) & (singletonsuniq = $true)) & (ex1I2 = $true)) & (ex1I = $true)) & (ex1E1 = $true)) & (singletonprop = $true)) & (setunionsingleton = $true)) & (setunionsingleton2 = $true)) & (setunionsingleton1 = $true)) & (setunionE2 = $true)) & (cartprodmempair = $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)),
% 3.09/0.85 inference(ennf_transformation,[],[f368])).
% 3.09/0.85 thf(f815,plain,(
% 3.09/0.85 (dsetconstr__Cong = $true) & (in__Cong = $true) & (binintersectSubset2 = $true) & (exuI2 = $true) & (nonemptyImpWitness = $true) & (sepSubset = $true) & (singletonsuniq = $true) & (prop2set2propI = $true) & (setukpairinjL1 = $true) & (lam2p = $true) & (ksndpairEq = $true) & (powersetI1 = $true) & (binunionE = $true) & (brelnall2 = $true) & (setadjoin__Cong = $true) & (disjointsetsI1 = $true) & (exuI1 = $true) & (eqinunit = $true) & (setukpairinjR = $true) & (lamp = $true) & (upairset2IR = $true) & (subsetE = $true) & (bs114d = $true) & (cartprodpairmemEL = $true) & (cartprodmempaircEq = $true) & (setminusILneg = $true) & (emptyInPowerset = $true) & (ubforcartprodlem2 = $true) & (setminusERneg = $true) & (symdiffIneg2 = $true) & (setunionsingleton2 = $true) & (singletonsubset = $true) & (ex1I = $true) & (setukpairinjR1 = $true) & (setunionsingleton = $true) & (funcext = $true) & (notequalI1 = $true) & (singletoninpowerset = $true) & (uniqinunit = $true) & (vacuousDall = $true) & (binintersectSubset1 = $true) & (setunionE2 = $true) & (dpsetconstrSub = $true) & (setOfPairsIsBReln = $true) & (binunionIR = $true) & (setukpairinjL = $true) & (inCongP = $true) & (setadjoinSub2 = $true) & (exu__Cong = $true) & (subsetRefl = $true) & (funcGraphProp4 = $true) & (omega__Cong = $true) & (setminusIRneg = $true) & (setukpairIR = $true) & (emptysetE = $true) & (setukpairinjR11 = $true) & (exuEu = $true) & (notdallE = $true) & (symdiffI2 = $true) & (quantDeMorgan2 = $true) & (dpsetconstrEL2 = $true) & (setminusSubset2 = $true) & (setminusI = $true) & (funcextLem = $true) & (exuE2 = $true) & (binintersectER = $true) & (notdexE = $true) & (dpsetconstrI = $true) & (setunionAx = $true) & (brelnall1 = $true) & (setminusELneg = $true) & (powersetsubset = $true) & (omegaSAx = $true) & (notsubsetI = $true) & (ex1I2 = $true) & (emptyinPowerset = $true) & (powersetI = $true) & (setukpairinjR2 = $true) & (funcGraphProp1 = $true) & (dsetconstrER = $true) & (binintersectEL = $true) & (quantDeMorgan4 = $true) & (upairsetE = $true) & (cartprodpairsurjEq = $true) & (wellorderingAx = $true) & (exuE3u = $true) & (symdiffI1 = $true) & (setunion__Cong = $true) & (setadjoinIL = $true) & (cartprodpairin = $true) & (quantDeMorgan1 = $true) & (quantDeMorgan3 = $true) & (dsetconstrEL = $true) & (setukpairinjR12 = $true) & (nonemptyI = $true) & (setext = $true) & (setadjoinE = $true) & (subsetemptysetimpeq = $true) & (subbreln = $true) & (exuI3 = $true) & (powerset__Cong = $true) & (setminusLsub = $true) & (secondinupair = $true) & (funcImageSingleton = $true) & (setadjoinIR = $true) & (kpairp = $true) & (binintersectSubset3 = $true) & (powersetAx = $true) & (binunionIL = $true) & (ksndsingleton = $true) & (subsetI2 = $true) & (cartprodmempair = $true) & (cartprodmempair1 = $true) & (subsetI1 = $true) & (eqimpsubset1 = $true) & (descrp = $true) & (setminusSubset1 = $true) & (apProp = $true) & (powersetE1 = $true) & (singletonprop = $true) & (kfstsingleton = $true) & (kfstpairEq = $true) & (descr__Cong = $true) & (eqbreln = $true) & (subset2powerset = $true) & (nonemptyI1 = $true) & (cartprodfstin = $true) & (noeltsimpempty = $true) & (subPowSU = $true) & (cartprodsndin = $true) & (setadjoinSub = $true) & (setoftrueEq = $true) & (emptyE1 = $true) & (dpsetconstrEL1 = $true) & (exuE1 = $true) & (setextAx = $true) & (upairsubunion = $true) & (cartprodpairmemER = $true) & ? [X1 : $i,X0 : $i,X2 : $i] : (? [X3 : $i] : ((X2 != X3) & (((in @ X3 @ (funcSet @ X1 @ X0))) = $true) & ! [X4 : $i] : ((((in @ X4 @ X1)) != $true) | (((ap @ X1 @ X0 @ X2 @ X4)) = ((ap @ X1 @ X0 @ X3 @ X4))))) & (((in @ X2 @ (funcSet @ X1 @ X0))) = $true)) & (kpairiskpair = $true) & (setukpairIL = $true) & (kpairsurjEq = $true) & (notinsingleton = $true) & (setminusER = $true) & (setadjoinAx = $true) & (funcGraphProp2 = $true) & (dsetconstrI = $true) & (emptysetimpfalse = $true) & (singletoninpowunion = $true) & (inPowerset = $true) & (upairinpowunion = $true) & (dpsetconstrER = $true) & (ex1E1 = $true) & (nonemptyE1 = $true) & (setukpairinjL2 = $true) & (ubforcartprodlem1 = $true) & (infuncsetfunc = $true) & (binunionRsub = $true) & (prop2setI = $true) & (foundationAx = $true) & (omega0Ax = $true) & (setminusEL = $true) & (emptyset__Cong = $true) & (notequalI2 = $true) & (setextsub = $true) & (setbeta = $true) & (upairsetIL = $true) & (dpsetconstrERa = $true) & (notinemptyset = $true) & (binintersectRsub = $true) & (upairsetIR = $true) & (omegaIndAx = $true) & (binunionEcases = $true) & (symdiffIneg1 = $true) & (lamProp = $true) & (binintersectLsub = $true) & (upairequniteq = $true) & (emptyinunitempty = $true) & (setunionI = $true) & (singletonsswitch = $true) & (emptyI = $true) & (funcinfuncset = $true) & (prop2setE = $true) & (app = $true) & (sepInPowerset = $true) & (exuE3e = $true) & (binintersectI = $true) & (cartprodsndpairEq = $true) & (funcGraphProp3 = $true) & (setadjoinOr = $true) & (symdiffE = $true) & (subsetTrans = $true) & (setunionsingleton1 = $true) & (replAx = $true) & (setunionE = $true) & (ap2p = $true) & (subsetE2 = $true) & (emptysetAx = $true) & (theprop = $true) & (binintersectSubset4 = $true) & (binintersectSubset5 = $true) & (eqimpsubset2 = $true) & (upairset2E = $true) & (emptysetsubset = $true) & (powersetE = $true) & (binunionLsub = $true) & (ubforcartprodlem3 = $true) & (cartprodfstpairEq = $true) & (ex1E2 = $true)),
% 3.09/0.85 inference(flattening,[],[f814])).
% 3.09/0.85 thf(f846,plain,(
% 3.09/0.85 (funcext = $true) <=> ! [X1 : $i,X0 : $i,X2 : $i] : (! [X3 : $i] : (((X1 = X3) | ? [X4 : $i] : ((((ap @ X2 @ X0 @ X3 @ X4)) != ((ap @ X2 @ X0 @ X1 @ X4))) & (((in @ X4 @ X2)) = $true))) | ($true != ((func @ X2 @ X0 @ X3)))) | (((func @ X2 @ X0 @ X1)) != $true))),
% 3.09/0.85 inference(ennf_transformation,[],[f318])).
% 3.09/0.85 thf(f847,plain,(
% 3.09/0.85 (funcext = $true) <=> ! [X2 : $i,X1 : $i,X0 : $i] : (! [X3 : $i] : ((X1 = X3) | ($true != ((func @ X2 @ X0 @ X3))) | ? [X4 : $i] : ((((ap @ X2 @ X0 @ X3 @ X4)) != ((ap @ X2 @ X0 @ X1 @ X4))) & (((in @ X4 @ X2)) = $true))) | (((func @ X2 @ X0 @ X1)) != $true))),
% 3.09/0.85 inference(flattening,[],[f846])).
% 3.09/0.85 thf(f1185,plain,(
% 3.09/0.85 ((funcext = $true) | ? [X2 : $i,X1 : $i,X0 : $i] : (? [X3 : $i] : ((X1 != X3) & ($true = ((func @ X2 @ X0 @ X3))) & ! [X4 : $i] : ((((ap @ X2 @ X0 @ X3 @ X4)) = ((ap @ X2 @ X0 @ X1 @ X4))) | (((in @ X4 @ X2)) != $true))) & (((func @ X2 @ X0 @ X1)) = $true))) & (! [X2 : $i,X1 : $i,X0 : $i] : (! [X3 : $i] : ((X1 = X3) | ($true != ((func @ X2 @ X0 @ X3))) | ? [X4 : $i] : ((((ap @ X2 @ X0 @ X3 @ X4)) != ((ap @ X2 @ X0 @ X1 @ X4))) & (((in @ X4 @ X2)) = $true))) | (((func @ X2 @ X0 @ X1)) != $true)) | (funcext != $true))),
% 3.09/0.85 inference(nnf_transformation,[],[f847])).
% 3.09/0.85 thf(f1186,plain,(
% 3.09/0.85 ((funcext = $true) | ? [X0 : $i,X1 : $i,X2 : $i] : (? [X3 : $i] : ((X1 != X3) & (((func @ X0 @ X2 @ X3)) = $true) & ! [X4 : $i] : ((((ap @ X0 @ X2 @ X3 @ X4)) = ((ap @ X0 @ X2 @ X1 @ X4))) | (((in @ X4 @ X0)) != $true))) & ($true = ((func @ X0 @ X2 @ X1))))) & (! [X5 : $i,X6 : $i,X7 : $i] : (! [X8 : $i] : ((X6 = X8) | (((func @ X5 @ X7 @ X8)) != $true) | ? [X9 : $i] : ((((ap @ X5 @ X7 @ X8 @ X9)) != ((ap @ X5 @ X7 @ X6 @ X9))) & (((in @ X9 @ X5)) = $true))) | (((func @ X5 @ X7 @ X6)) != $true)) | (funcext != $true))),
% 3.09/0.85 inference(rectify,[],[f1185])).
% 3.09/0.85 thf(f1187,plain,(
% 3.09/0.85 ((funcext = $true) | (((sK281 != sK283) & (((func @ sK280 @ sK282 @ sK283)) = $true) & ! [X4 : $i] : ((((ap @ sK280 @ sK282 @ sK283 @ X4)) = ((ap @ sK280 @ sK282 @ sK281 @ X4))) | (((in @ X4 @ sK280)) != $true))) & ($true = ((func @ sK280 @ sK282 @ sK281))))) & (! [X5 : $i,X6 : $i,X7 : $i] : (! [X8 : $i] : ((X6 = X8) | (((func @ X5 @ X7 @ X8)) != $true) | ((((ap @ X5 @ X7 @ X8 @ (sK284 @ X8 @ X7 @ X6 @ X5))) != ((ap @ X5 @ X7 @ X6 @ (sK284 @ X8 @ X7 @ X6 @ X5)))) & (((in @ (sK284 @ X8 @ X7 @ X6 @ X5) @ X5)) = $true))) | (((func @ X5 @ X7 @ X6)) != $true)) | (funcext != $true))),
% 3.09/0.85 inference(skolemize,[status(esa),new_symbols(skolem,[sK280,sK281,sK282,sK283,vAPP]),skolemize(X0,sK280),skolemize(X1,sK281),skolemize(X2,sK282),skolemize(X3,sK283),skolemize(X11,sK26 @ X10 @ X9 @ X8 @ X7)],[f1186])).
% 3.09/0.85 thf(f1188,plain,(
% 3.09/0.85 (dsetconstr__Cong = $true) & (in__Cong = $true) & (binintersectSubset2 = $true) & (exuI2 = $true) & (nonemptyImpWitness = $true) & (sepSubset = $true) & (singletonsuniq = $true) & (prop2set2propI = $true) & (setukpairinjL1 = $true) & (lam2p = $true) & (ksndpairEq = $true) & (powersetI1 = $true) & (binunionE = $true) & (brelnall2 = $true) & (setadjoin__Cong = $true) & (disjointsetsI1 = $true) & (exuI1 = $true) & (eqinunit = $true) & (setukpairinjR = $true) & (lamp = $true) & (upairset2IR = $true) & (subsetE = $true) & (bs114d = $true) & (cartprodpairmemEL = $true) & (cartprodmempaircEq = $true) & (setminusILneg = $true) & (emptyInPowerset = $true) & (ubforcartprodlem2 = $true) & (setminusERneg = $true) & (symdiffIneg2 = $true) & (setunionsingleton2 = $true) & (singletonsubset = $true) & (ex1I = $true) & (setukpairinjR1 = $true) & (setunionsingleton = $true) & (funcext = $true) & (notequalI1 = $true) & (singletoninpowerset = $true) & (uniqinunit = $true) & (vacuousDall = $true) & (binintersectSubset1 = $true) & (setunionE2 = $true) & (dpsetconstrSub = $true) & (setOfPairsIsBReln = $true) & (binunionIR = $true) & (setukpairinjL = $true) & (inCongP = $true) & (setadjoinSub2 = $true) & (exu__Cong = $true) & (subsetRefl = $true) & (funcGraphProp4 = $true) & (omega__Cong = $true) & (setminusIRneg = $true) & (setukpairIR = $true) & (emptysetE = $true) & (setukpairinjR11 = $true) & (exuEu = $true) & (notdallE = $true) & (symdiffI2 = $true) & (quantDeMorgan2 = $true) & (dpsetconstrEL2 = $true) & (setminusSubset2 = $true) & (setminusI = $true) & (funcextLem = $true) & (exuE2 = $true) & (binintersectER = $true) & (notdexE = $true) & (dpsetconstrI = $true) & (setunionAx = $true) & (brelnall1 = $true) & (setminusELneg = $true) & (powersetsubset = $true) & (omegaSAx = $true) & (notsubsetI = $true) & (ex1I2 = $true) & (emptyinPowerset = $true) & (powersetI = $true) & (setukpairinjR2 = $true) & (funcGraphProp1 = $true) & (dsetconstrER = $true) & (binintersectEL = $true) & (quantDeMorgan4 = $true) & (upairsetE = $true) & (cartprodpairsurjEq = $true) & (wellorderingAx = $true) & (exuE3u = $true) & (symdiffI1 = $true) & (setunion__Cong = $true) & (setadjoinIL = $true) & (cartprodpairin = $true) & (quantDeMorgan1 = $true) & (quantDeMorgan3 = $true) & (dsetconstrEL = $true) & (setukpairinjR12 = $true) & (nonemptyI = $true) & (setext = $true) & (setadjoinE = $true) & (subsetemptysetimpeq = $true) & (subbreln = $true) & (exuI3 = $true) & (powerset__Cong = $true) & (setminusLsub = $true) & (secondinupair = $true) & (funcImageSingleton = $true) & (setadjoinIR = $true) & (kpairp = $true) & (binintersectSubset3 = $true) & (powersetAx = $true) & (binunionIL = $true) & (ksndsingleton = $true) & (subsetI2 = $true) & (cartprodmempair = $true) & (cartprodmempair1 = $true) & (subsetI1 = $true) & (eqimpsubset1 = $true) & (descrp = $true) & (setminusSubset1 = $true) & (apProp = $true) & (powersetE1 = $true) & (singletonprop = $true) & (kfstsingleton = $true) & (kfstpairEq = $true) & (descr__Cong = $true) & (eqbreln = $true) & (subset2powerset = $true) & (nonemptyI1 = $true) & (cartprodfstin = $true) & (noeltsimpempty = $true) & (subPowSU = $true) & (cartprodsndin = $true) & (setadjoinSub = $true) & (setoftrueEq = $true) & (emptyE1 = $true) & (dpsetconstrEL1 = $true) & (exuE1 = $true) & (setextAx = $true) & (upairsubunion = $true) & (cartprodpairmemER = $true) & ? [X0 : $i,X1 : $i,X2 : $i] : (? [X3 : $i] : ((X2 != X3) & (((in @ X3 @ (funcSet @ X0 @ X1))) = $true) & ! [X4 : $i] : ((((in @ X4 @ X0)) != $true) | (((ap @ X0 @ X1 @ X2 @ X4)) = ((ap @ X0 @ X1 @ X3 @ X4))))) & (((in @ X2 @ (funcSet @ X0 @ X1))) = $true)) & (kpairiskpair = $true) & (setukpairIL = $true) & (kpairsurjEq = $true) & (notinsingleton = $true) & (setminusER = $true) & (setadjoinAx = $true) & (funcGraphProp2 = $true) & (dsetconstrI = $true) & (emptysetimpfalse = $true) & (singletoninpowunion = $true) & (inPowerset = $true) & (upairinpowunion = $true) & (dpsetconstrER = $true) & (ex1E1 = $true) & (nonemptyE1 = $true) & (setukpairinjL2 = $true) & (ubforcartprodlem1 = $true) & (infuncsetfunc = $true) & (binunionRsub = $true) & (prop2setI = $true) & (foundationAx = $true) & (omega0Ax = $true) & (setminusEL = $true) & (emptyset__Cong = $true) & (notequalI2 = $true) & (setextsub = $true) & (setbeta = $true) & (upairsetIL = $true) & (dpsetconstrERa = $true) & (notinemptyset = $true) & (binintersectRsub = $true) & (upairsetIR = $true) & (omegaIndAx = $true) & (binunionEcases = $true) & (symdiffIneg1 = $true) & (lamProp = $true) & (binintersectLsub = $true) & (upairequniteq = $true) & (emptyinunitempty = $true) & (setunionI = $true) & (singletonsswitch = $true) & (emptyI = $true) & (funcinfuncset = $true) & (prop2setE = $true) & (app = $true) & (sepInPowerset = $true) & (exuE3e = $true) & (binintersectI = $true) & (cartprodsndpairEq = $true) & (funcGraphProp3 = $true) & (setadjoinOr = $true) & (symdiffE = $true) & (subsetTrans = $true) & (setunionsingleton1 = $true) & (replAx = $true) & (setunionE = $true) & (ap2p = $true) & (subsetE2 = $true) & (emptysetAx = $true) & (theprop = $true) & (binintersectSubset4 = $true) & (binintersectSubset5 = $true) & (eqimpsubset2 = $true) & (upairset2E = $true) & (emptysetsubset = $true) & (powersetE = $true) & (binunionLsub = $true) & (ubforcartprodlem3 = $true) & (cartprodfstpairEq = $true) & (ex1E2 = $true)),
% 3.09/0.85 inference(rectify,[],[f815])).
% 3.09/0.85 thf(f1189,plain,(
% 3.09/0.85 (dsetconstr__Cong = $true) & (in__Cong = $true) & (binintersectSubset2 = $true) & (exuI2 = $true) & (nonemptyImpWitness = $true) & (sepSubset = $true) & (singletonsuniq = $true) & (prop2set2propI = $true) & (setukpairinjL1 = $true) & (lam2p = $true) & (ksndpairEq = $true) & (powersetI1 = $true) & (binunionE = $true) & (brelnall2 = $true) & (setadjoin__Cong = $true) & (disjointsetsI1 = $true) & (exuI1 = $true) & (eqinunit = $true) & (setukpairinjR = $true) & (lamp = $true) & (upairset2IR = $true) & (subsetE = $true) & (bs114d = $true) & (cartprodpairmemEL = $true) & (cartprodmempaircEq = $true) & (setminusILneg = $true) & (emptyInPowerset = $true) & (ubforcartprodlem2 = $true) & (setminusERneg = $true) & (symdiffIneg2 = $true) & (setunionsingleton2 = $true) & (singletonsubset = $true) & (ex1I = $true) & (setukpairinjR1 = $true) & (setunionsingleton = $true) & (funcext = $true) & (notequalI1 = $true) & (singletoninpowerset = $true) & (uniqinunit = $true) & (vacuousDall = $true) & (binintersectSubset1 = $true) & (setunionE2 = $true) & (dpsetconstrSub = $true) & (setOfPairsIsBReln = $true) & (binunionIR = $true) & (setukpairinjL = $true) & (inCongP = $true) & (setadjoinSub2 = $true) & (exu__Cong = $true) & (subsetRefl = $true) & (funcGraphProp4 = $true) & (omega__Cong = $true) & (setminusIRneg = $true) & (setukpairIR = $true) & (emptysetE = $true) & (setukpairinjR11 = $true) & (exuEu = $true) & (notdallE = $true) & (symdiffI2 = $true) & (quantDeMorgan2 = $true) & (dpsetconstrEL2 = $true) & (setminusSubset2 = $true) & (setminusI = $true) & (funcextLem = $true) & (exuE2 = $true) & (binintersectER = $true) & (notdexE = $true) & (dpsetconstrI = $true) & (setunionAx = $true) & (brelnall1 = $true) & (setminusELneg = $true) & (powersetsubset = $true) & (omegaSAx = $true) & (notsubsetI = $true) & (ex1I2 = $true) & (emptyinPowerset = $true) & (powersetI = $true) & (setukpairinjR2 = $true) & (funcGraphProp1 = $true) & (dsetconstrER = $true) & (binintersectEL = $true) & (quantDeMorgan4 = $true) & (upairsetE = $true) & (cartprodpairsurjEq = $true) & (wellorderingAx = $true) & (exuE3u = $true) & (symdiffI1 = $true) & (setunion__Cong = $true) & (setadjoinIL = $true) & (cartprodpairin = $true) & (quantDeMorgan1 = $true) & (quantDeMorgan3 = $true) & (dsetconstrEL = $true) & (setukpairinjR12 = $true) & (nonemptyI = $true) & (setext = $true) & (setadjoinE = $true) & (subsetemptysetimpeq = $true) & (subbreln = $true) & (exuI3 = $true) & (powerset__Cong = $true) & (setminusLsub = $true) & (secondinupair = $true) & (funcImageSingleton = $true) & (setadjoinIR = $true) & (kpairp = $true) & (binintersectSubset3 = $true) & (powersetAx = $true) & (binunionIL = $true) & (ksndsingleton = $true) & (subsetI2 = $true) & (cartprodmempair = $true) & (cartprodmempair1 = $true) & (subsetI1 = $true) & (eqimpsubset1 = $true) & (descrp = $true) & (setminusSubset1 = $true) & (apProp = $true) & (powersetE1 = $true) & (singletonprop = $true) & (kfstsingleton = $true) & (kfstpairEq = $true) & (descr__Cong = $true) & (eqbreln = $true) & (subset2powerset = $true) & (nonemptyI1 = $true) & (cartprodfstin = $true) & (noeltsimpempty = $true) & (subPowSU = $true) & (cartprodsndin = $true) & (setadjoinSub = $true) & (setoftrueEq = $true) & (emptyE1 = $true) & (dpsetconstrEL1 = $true) & (exuE1 = $true) & (setextAx = $true) & (upairsubunion = $true) & (cartprodpairmemER = $true) & (((sK287 != sK288) & (((in @ sK288 @ (funcSet @ sK285 @ sK286))) = $true) & ! [X4 : $i] : ((((in @ X4 @ sK285)) != $true) | (((ap @ sK285 @ sK286 @ sK287 @ X4)) = ((ap @ sK285 @ sK286 @ sK288 @ X4))))) & ($true = ((in @ sK287 @ (funcSet @ sK285 @ sK286))))) & (kpairiskpair = $true) & (setukpairIL = $true) & (kpairsurjEq = $true) & (notinsingleton = $true) & (setminusER = $true) & (setadjoinAx = $true) & (funcGraphProp2 = $true) & (dsetconstrI = $true) & (emptysetimpfalse = $true) & (singletoninpowunion = $true) & (inPowerset = $true) & (upairinpowunion = $true) & (dpsetconstrER = $true) & (ex1E1 = $true) & (nonemptyE1 = $true) & (setukpairinjL2 = $true) & (ubforcartprodlem1 = $true) & (infuncsetfunc = $true) & (binunionRsub = $true) & (prop2setI = $true) & (foundationAx = $true) & (omega0Ax = $true) & (setminusEL = $true) & (emptyset__Cong = $true) & (notequalI2 = $true) & (setextsub = $true) & (setbeta = $true) & (upairsetIL = $true) & (dpsetconstrERa = $true) & (notinemptyset = $true) & (binintersectRsub = $true) & (upairsetIR = $true) & (omegaIndAx = $true) & (binunionEcases = $true) & (symdiffIneg1 = $true) & (lamProp = $true) & (binintersectLsub = $true) & (upairequniteq = $true) & (emptyinunitempty = $true) & (setunionI = $true) & (singletonsswitch = $true) & (emptyI = $true) & (funcinfuncset = $true) & (prop2setE = $true) & (app = $true) & (sepInPowerset = $true) & (exuE3e = $true) & (binintersectI = $true) & (cartprodsndpairEq = $true) & (funcGraphProp3 = $true) & (setadjoinOr = $true) & (symdiffE = $true) & (subsetTrans = $true) & (setunionsingleton1 = $true) & (replAx = $true) & (setunionE = $true) & (ap2p = $true) & (subsetE2 = $true) & (emptysetAx = $true) & (theprop = $true) & (binintersectSubset4 = $true) & (binintersectSubset5 = $true) & (eqimpsubset2 = $true) & (upairset2E = $true) & (emptysetsubset = $true) & (powersetE = $true) & (binunionLsub = $true) & (ubforcartprodlem3 = $true) & (cartprodfstpairEq = $true) & (ex1E2 = $true)),
% 3.09/0.85 inference(skolemize,[status(esa),new_symbols(skolem,[sK285,sK286,sK287,sK288]),skolemize(X0,sK285),skolemize(X1,sK286),skolemize(X2,sK287),skolemize(X3,sK288)],[f1188])).
% 3.09/0.85 thf(f1217,plain,(
% 3.09/0.85 ((infuncsetfunc = $true) | ? [X1 : $i,X0 : $i,X2 : $i] : ((((in @ X2 @ (funcSet @ X0 @ X1))) = $true) & (((func @ X0 @ X1 @ X2)) != $true))) & (! [X1 : $i,X0 : $i,X2 : $i] : ((((in @ X2 @ (funcSet @ X0 @ X1))) != $true) | (((func @ X0 @ X1 @ X2)) = $true)) | (infuncsetfunc != $true))),
% 3.09/0.85 inference(nnf_transformation,[],[f737])).
% 3.09/0.85 thf(f1218,plain,(
% 3.09/0.85 ((infuncsetfunc = $true) | ? [X0 : $i,X1 : $i,X2 : $i] : ((((in @ X2 @ (funcSet @ X1 @ X0))) = $true) & (((func @ X1 @ X0 @ X2)) != $true))) & (! [X3 : $i,X4 : $i,X5 : $i] : ((((in @ X5 @ (funcSet @ X4 @ X3))) != $true) | (((func @ X4 @ X3 @ X5)) = $true)) | (infuncsetfunc != $true))),
% 3.09/0.85 inference(rectify,[],[f1217])).
% 3.09/0.85 thf(f1219,plain,(
% 3.09/0.85 ((infuncsetfunc = $true) | (($true = ((in @ sK309 @ (funcSet @ sK308 @ sK307)))) & (((func @ sK308 @ sK307 @ sK309)) != $true))) & (! [X3 : $i,X4 : $i,X5 : $i] : ((((in @ X5 @ (funcSet @ X4 @ X3))) != $true) | (((func @ X4 @ X3 @ X5)) = $true)) | (infuncsetfunc != $true))),
% 3.09/0.85 inference(skolemize,[status(esa),new_symbols(skolem,[sK307,sK308,sK309]),skolemize(X0,sK307),skolemize(X1,sK308),skolemize(X2,sK309)],[f1218])).
% 3.09/0.85 thf(f1907,plain,(
% 3.09/0.85 ( ! [X8 : $i,X6 : $i,X7 : $i,X5 : $i] : ((((in @ (sK284 @ X8 @ X7 @ X6 @ X5) @ X5)) = $true) | (((func @ X5 @ X7 @ X8)) != $true) | (((func @ X5 @ X7 @ X6)) != $true) | (funcext != $true) | (X6 = X8)) )),
% 3.09/0.85 inference(cnf_transformation,[],[f1187])).
% 3.09/0.85 thf(f1908,plain,(
% 3.09/0.85 ( ! [X8 : $i,X6 : $i,X7 : $i,X5 : $i] : ((((ap @ X5 @ X7 @ X8 @ (sK284 @ X8 @ X7 @ X6 @ X5))) != ((ap @ X5 @ X7 @ X6 @ (sK284 @ X8 @ X7 @ X6 @ X5)))) | (((func @ X5 @ X7 @ X8)) != $true) | (((func @ X5 @ X7 @ X6)) != $true) | (funcext != $true) | (X6 = X8)) )),
% 3.09/0.85 inference(cnf_transformation,[],[f1187])).
% 3.09/0.85 thf(f1965,plain,(
% 3.09/0.85 (infuncsetfunc = $true)),
% 3.09/0.85 inference(cnf_transformation,[],[f1189])).
% 3.09/0.85 thf(f1983,plain,(
% 3.09/0.85 ($true = ((in @ sK287 @ (funcSet @ sK285 @ sK286))))),
% 3.09/0.85 inference(cnf_transformation,[],[f1189])).
% 3.09/0.85 thf(f1984,plain,(
% 3.09/0.85 ( ! [X4 : $i] : ((((ap @ sK285 @ sK286 @ sK287 @ X4)) = ((ap @ sK285 @ sK286 @ sK288 @ X4))) | (((in @ X4 @ sK285)) != $true)) )),
% 3.09/0.85 inference(cnf_transformation,[],[f1189])).
% 3.09/0.85 thf(f1985,plain,(
% 3.09/0.85 (((in @ sK288 @ (funcSet @ sK285 @ sK286))) = $true)),
% 3.09/0.85 inference(cnf_transformation,[],[f1189])).
% 3.09/0.85 thf(f1986,plain,(
% 3.09/0.85 (sK287 != sK288)),
% 3.09/0.85 inference(cnf_transformation,[],[f1189])).
% 3.09/0.85 thf(f2089,plain,(
% 3.09/0.85 (funcext = $true)),
% 3.09/0.85 inference(cnf_transformation,[],[f1189])).
% 3.09/0.85 thf(f2151,plain,(
% 3.09/0.85 ( ! [X3 : $i,X4 : $i,X5 : $i] : ((((in @ X5 @ (funcSet @ X4 @ X3))) != $true) | (((func @ X4 @ X3 @ X5)) = $true) | (infuncsetfunc != $true)) )),
% 3.09/0.85 inference(cnf_transformation,[],[f1219])).
% 3.09/0.85 thf(f2746,plain,(
% 3.09/0.85 ($true != $true) | (infuncsetfunc != $true) | ($true = ((func @ sK285 @ sK286 @ sK287)))),
% 3.09/0.85 inference(constrained_superposition,[],[f2151,f1983])).
% 3.09/0.85 thf(f2749,plain,(
% 3.09/0.85 (infuncsetfunc != $true) | ($true = ((func @ sK285 @ sK286 @ sK287)))),
% 3.09/0.85 inference(trivial_inequality_removal,[],[f2746])).
% 3.09/0.85 thf(f2751,plain,(
% 3.09/0.85 ($true = ((func @ sK285 @ sK286 @ sK287)))),
% 3.09/0.85 inference(forward_subsumption_resolution,[],[f2749,f1965])).
% 3.09/0.85 thf(f2752,plain,(
% 3.09/0.85 (((func @ sK285 @ sK286 @ sK288)) = $true) | (infuncsetfunc != $true) | ($true != $true)),
% 3.09/0.85 inference(constrained_superposition,[],[f2151,f1985])).
% 3.09/0.85 thf(f2754,plain,(
% 3.09/0.85 (infuncsetfunc != $true) | (((func @ sK285 @ sK286 @ sK288)) = $true)),
% 3.09/0.85 inference(trivial_inequality_removal,[],[f2752])).
% 3.09/0.85 thf(f2756,plain,(
% 3.09/0.85 (((func @ sK285 @ sK286 @ sK288)) = $true)),
% 3.09/0.85 inference(forward_subsumption_resolution,[],[f2754,f1965])).
% 3.09/0.85 thf(f2766,plain,(
% 3.09/0.85 ( ! [X0 : $i] : (($true != ((in @ (sK284 @ X0 @ sK286 @ sK288 @ sK285) @ sK285))) | (((func @ sK285 @ sK286 @ sK288)) != $true) | (funcext != $true) | (sK288 = X0) | (((ap @ sK285 @ sK286 @ sK287 @ (sK284 @ X0 @ sK286 @ sK288 @ sK285))) != ((ap @ sK285 @ sK286 @ X0 @ (sK284 @ X0 @ sK286 @ sK288 @ sK285)))) | (((func @ sK285 @ sK286 @ X0)) != $true)) )),
% 3.09/0.85 inference(constrained_superposition,[],[f1908,f1984])).
% 3.09/0.85 thf(f2785,plain,(
% 3.09/0.85 ( ! [X0 : $i] : ((((func @ sK285 @ sK286 @ X0)) != $true) | (sK288 = X0) | ($true != ((in @ (sK284 @ X0 @ sK286 @ sK288 @ sK285) @ sK285))) | (funcext != $true) | (((ap @ sK285 @ sK286 @ sK287 @ (sK284 @ X0 @ sK286 @ sK288 @ sK285))) != ((ap @ sK285 @ sK286 @ X0 @ (sK284 @ X0 @ sK286 @ sK288 @ sK285))))) )),
% 3.09/0.85 inference(forward_subsumption_resolution,[],[f2766,f2756])).
% 3.09/0.85 thf(f2797,plain,(
% 3.09/0.85 ( ! [X0 : $i] : ((((ap @ sK285 @ sK286 @ sK287 @ (sK284 @ X0 @ sK286 @ sK288 @ sK285))) != ((ap @ sK285 @ sK286 @ X0 @ (sK284 @ X0 @ sK286 @ sK288 @ sK285)))) | (((func @ sK285 @ sK286 @ X0)) != $true) | (sK288 = X0) | ($true != ((in @ (sK284 @ X0 @ sK286 @ sK288 @ sK285) @ sK285)))) )),
% 3.09/0.85 inference(forward_subsumption_resolution,[],[f2785,f2089])).
% 3.09/0.85 thf(f3180,plain,(
% 3.09/0.85 ($true != ((func @ sK285 @ sK286 @ sK287))) | ($true != ((in @ (sK284 @ sK287 @ sK286 @ sK288 @ sK285) @ sK285))) | (sK287 = sK288)),
% 3.09/0.85 inference(equality_resolution,[],[f2797])).
% 3.09/0.85 thf(f3881,plain,(
% 3.09/0.85 ($true != ((in @ (sK284 @ sK287 @ sK286 @ sK288 @ sK285) @ sK285))) | (sK287 = sK288)),
% 3.09/0.85 inference(forward_subsumption_resolution,[],[f3180,f2751])).
% 3.09/0.85 thf(f3914,plain,(
% 3.09/0.85 ($true != ((in @ (sK284 @ sK287 @ sK286 @ sK288 @ sK285) @ sK285)))),
% 3.09/0.85 inference(forward_subsumption_resolution,[],[f3881,f1986])).
% 3.09/0.85 thf(f3936,plain,(
% 3.09/0.85 ($true != $true) | (sK287 = sK288) | (((func @ sK285 @ sK286 @ sK288)) != $true) | ($true != ((func @ sK285 @ sK286 @ sK287))) | (funcext != $true)),
% 3.09/0.85 inference(constrained_superposition,[],[f3914,f1907])).
% 3.09/0.85 thf(f3949,plain,(
% 3.09/0.85 (funcext != $true) | (sK287 = sK288) | ($true != ((func @ sK285 @ sK286 @ sK287))) | (((func @ sK285 @ sK286 @ sK288)) != $true)),
% 3.09/0.85 inference(trivial_inequality_removal,[],[f3936])).
% 3.09/0.85 thf(f3953,plain,(
% 3.09/0.85 (((func @ sK285 @ sK286 @ sK288)) != $true) | ($true != ((func @ sK285 @ sK286 @ sK287))) | (sK287 = sK288)),
% 3.09/0.85 inference(forward_subsumption_resolution,[],[f3949,f2089])).
% 3.09/0.85 thf(f3954,plain,(
% 3.09/0.85 ($true != ((func @ sK285 @ sK286 @ sK287))) | (sK287 = sK288)),
% 3.09/0.85 inference(forward_subsumption_resolution,[],[f3953,f2756])).
% 3.09/0.85 thf(f3955,plain,(
% 3.09/0.85 (sK287 = sK288)),
% 3.09/0.85 inference(forward_subsumption_resolution,[],[f3954,f2751])).
% 3.09/0.85 thf(f3956,plain,(
% 3.09/0.85 $false),
% 3.09/0.85 inference(forward_subsumption_resolution,[],[f3955,f1986])).
% 3.09/0.85 % SZS output end Proof for theBenchmark
% 3.09/0.85 % (1111928)------------------------------
% 3.09/0.85 % (1111928)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.09/0.85 % (1111928)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.09/0.85 % (1111928)CaDiCaL version: 2.1.3
% 3.09/0.85 % (1111928)Termination reason: Refutation
% 3.09/0.85 % (1111928)Time elapsed: 0.180 s
% 3.09/0.85 % (1111928)Peak memory usage: 17 MB
% 3.09/0.85 % (1111928)Instructions burned: 367 (million)
% 3.09/0.85 % (1111727)Success in time 0.541 s
% 3.09/0.85 % Vampire exiting
%------------------------------------------------------------------------------