%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU680^1 : 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 : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:30:43 AM UTC 2026
% Result : Theorem 4.80s 1.05s
% Output : Refutation 4.80s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SEU680^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.22 % Computer : n006.cluster.edu
% 0.10/0.22 % Model : x86_64 x86_64
% 0.10/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.22 % Memory : 8046.5625MB
% 0.10/0.22 % OS : Linux 6.8.0-71-generic
% 0.10/0.22 % CPULimit : 300
% 0.10/0.22 % WCLimit : 300
% 0.10/0.22 % DateTime : Tue Sep 29 14:07:40 UTC 2026
% 0.10/0.22 % CPUTime :
% 0.10/0.22 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.25 Running higher-order theorem proving
% 0.21/0.30 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
% 0.38/0.45 % (774265)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.38/0.45 % (774272)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2202789709:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.38/0.45 % (774270)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2118792663:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.38/0.45 % (774274)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2508569008:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.38/0.45 % (774276)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.38/0.45 % (774276)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
% 0.38/0.45 % (774276)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=1876125397:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.38/0.45 % (774272)Instruction limit reached!
% 0.38/0.45 % (774272)------------------------------
% 0.38/0.45 % (774272)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.38/0.45 % (774272)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.38/0.45 % (774272)CaDiCaL version: 2.1.3
% 0.38/0.45 % (774272)Termination reason: Instruction limit
% 0.38/0.45 % (774272)Termination phase: shuffling
% 0.38/0.45 % (774272)Time elapsed: 0.002 s
% 0.38/0.45 % (774272)Peak memory usage: 10 MB
% 0.38/0.45 % (774272)Instructions burned: 4 (million)
% 0.38/0.45 % (774271)lrs+10_16_si=on:nwc=1.5:random_seed=404263713:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.38/0.45 % (774273)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=3188043572: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)
% 0.38/0.45 % (774274)Instruction limit reached!
% 0.38/0.45 % (774274)------------------------------
% 0.38/0.45 % (774274)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.38/0.45 % (774274)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.38/0.45 % (774274)CaDiCaL version: 2.1.3
% 0.38/0.45 % (774274)Termination reason: Instruction limit
% 0.38/0.45 % (774274)Termination phase: Property scanning
% 0.38/0.45 % (774274)Time elapsed: 0.014 s
% 0.38/0.45 % (774274)Peak memory usage: 10 MB
% 0.38/0.45 % (774274)Instructions burned: 24 (million)
% 0.38/0.45 % (774275)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1548278779:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.38/0.45 % (774281)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1392713174:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.38/0.45 % (774281)Instruction limit reached!
% 0.38/0.45 % (774281)------------------------------
% 0.38/0.45 % (774281)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.38/0.45 % (774281)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.38/0.45 % (774281)CaDiCaL version: 2.1.3
% 0.38/0.45 % (774281)Termination reason: Instruction limit
% 0.38/0.45 % (774281)Termination phase: shuffling
% 0.38/0.45 % (774281)Time elapsed: 0.002 s
% 0.38/0.45 % (774281)Peak memory usage: 10 MB
% 0.38/0.45 % (774281)Instructions burned: 3 (million)
% 0.38/0.45 % (774271)Instruction limit reached!
% 0.38/0.45 % (774271)------------------------------
% 0.38/0.45 % (774271)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.38/0.45 % (774271)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.38/0.45 % (774271)CaDiCaL version: 2.1.3
% 0.38/0.45 % (774271)Termination reason: Instruction limit
% 0.38/0.45 % (774271)Termination phase: shuffling
% 0.38/0.45 % (774271)Time elapsed: 0.016 s
% 0.38/0.45 % (774271)Peak memory usage: 10 MB
% 0.38/0.45 % (774271)Instructions burned: 19 (million)
% 0.38/0.45 % (774287)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.38/0.45 % (774287)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1691313226:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.38/0.49 % (774276)Instruction limit reached!
% 0.38/0.49 % (774276)------------------------------
% 0.38/0.49 % (774276)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.38/0.49 % (774276)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.38/0.49 % (774276)CaDiCaL version: 2.1.3
% 0.38/0.49 % (774276)Termination reason: Instruction limit
% 0.38/0.49 % (774276)Termination phase: Saturation
% 0.38/0.49 % (774276)Time elapsed: 0.043 s
% 0.38/0.49 % (774276)Peak memory usage: 14 MB
% 0.38/0.49 % (774276)Instructions burned: 160 (million)
% 0.38/0.49 % (774287)Instruction limit reached!
% 0.38/0.49 % (774287)------------------------------
% 0.38/0.49 % (774287)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.38/0.49 % (774287)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.38/0.49 % (774287)CaDiCaL version: 2.1.3
% 0.38/0.49 % (774287)Termination reason: Instruction limit
% 0.38/0.49 % (774287)Termination phase: shuffling
% 0.38/0.49 % (774287)Time elapsed: 0.004 s
% 0.38/0.49 % (774287)Peak memory usage: 10 MB
% 0.38/0.49 % (774287)Instructions burned: 9 (million)
% 0.38/0.49 % (774288)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=707778129:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.38/0.49 % (774290)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
% 0.38/0.49 % (774290)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.38/0.49 % (774285)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2823850426:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.38/0.49 % (774288)Instruction limit reached!
% 0.38/0.49 % (774288)------------------------------
% 0.38/0.49 % (774288)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.38/0.49 % (774288)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.38/0.49 % (774288)CaDiCaL version: 2.1.3
% 0.38/0.49 % (774288)Termination reason: Instruction limit
% 0.38/0.49 % (774288)Termination phase: shuffling
% 0.38/0.49 % (774288)Time elapsed: 0.006 s
% 0.38/0.49 % (774288)Peak memory usage: 10 MB
% 0.38/0.49 % (774288)Instructions burned: 14 (million)
% 0.38/0.49 % (774290)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3447844874:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.38/0.49 % (774285)Instruction limit reached!
% 0.38/0.49 % (774285)------------------------------
% 0.38/0.49 % (774285)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.38/0.49 % (774285)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.38/0.49 % (774285)CaDiCaL version: 2.1.3
% 0.38/0.49 % (774285)Termination reason: Instruction limit
% 0.38/0.49 % (774285)Termination phase: shuffling
% 0.38/0.49 % (774285)Time elapsed: 0.007 s
% 0.38/0.49 % (774285)Peak memory usage: 10 MB
% 0.38/0.49 % (774285)Instructions burned: 6 (million)
% 0.38/0.49 % (774290)Instruction limit reached!
% 0.38/0.49 % (774290)------------------------------
% 0.38/0.49 % (774290)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.38/0.49 % (774290)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.38/0.49 % (774290)CaDiCaL version: 2.1.3
% 0.38/0.49 % (774290)Termination reason: Instruction limit
% 0.38/0.49 % (774290)Termination phase: Property scanning
% 0.38/0.49 % (774290)Time elapsed: 0.006 s
% 0.38/0.49 % (774290)Peak memory usage: 10 MB
% 0.38/0.49 % (774290)Instructions burned: 28 (million)
% 0.38/0.49 % (774270)Instruction limit reached!
% 0.38/0.49 % (774270)------------------------------
% 0.38/0.49 % (774270)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.38/0.49 % (774270)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.38/0.49 % (774270)CaDiCaL version: 2.1.3
% 0.38/0.49 % (774270)Termination reason: Instruction limit
% 0.38/0.49 % (774270)Termination phase: Property scanning
% 0.38/0.49 % (774270)Time elapsed: 0.065 s
% 0.38/0.49 % (774270)Peak memory usage: 12 MB
% 1.16/0.54 % (774270)Instructions burned: 87 (million)
% 1.16/0.54 % (774292)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=3149953990:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 1.16/0.54 % (774297)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=1876182456:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 1.16/0.54 % (774275)Instruction limit reached!
% 1.16/0.54 % (774275)------------------------------
% 1.16/0.54 % (774275)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.16/0.54 % (774275)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.16/0.54 % (774275)CaDiCaL version: 2.1.3
% 1.16/0.54 % (774275)Termination reason: Instruction limit
% 1.16/0.54 % (774275)Termination phase: Property scanning
% 1.16/0.54 % (774275)Time elapsed: 0.065 s
% 1.16/0.54 % (774275)Peak memory usage: 13 MB
% 1.16/0.54 % (774275)Instructions burned: 76 (million)
% 1.16/0.54 % (774296)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.16/0.54 % (774294)lrs+10_1_si=on:cs=on:random_seed=5994061:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 1.16/0.54 % (774297)Instruction limit reached!
% 1.16/0.54 % (774297)------------------------------
% 1.16/0.54 % (774297)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.16/0.54 % (774297)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.16/0.54 % (774297)CaDiCaL version: 2.1.3
% 1.16/0.54 % (774297)Termination reason: Instruction limit
% 1.16/0.54 % (774297)Termination phase: Preprocessing 3
% 1.16/0.54 % (774297)Time elapsed: 0.010 s
% 1.16/0.54 % (774297)Peak memory usage: 11 MB
% 1.16/0.54 % (774297)Instructions burned: 40 (million)
% 1.16/0.54 % (774296)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=1459422626:i=2:add=on:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.16/0.54 % (774298)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=4072267909:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.16/0.54 % (774294)Instruction limit reached!
% 1.16/0.54 % (774294)------------------------------
% 1.16/0.54 % (774294)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.16/0.54 % (774294)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.16/0.54 % (774294)CaDiCaL version: 2.1.3
% 1.16/0.54 % (774294)Termination reason: Instruction limit
% 1.16/0.54 % (774294)Termination phase: shuffling
% 1.16/0.54 % (774294)Time elapsed: 0.007 s
% 1.16/0.54 % (774294)Peak memory usage: 10 MB
% 1.16/0.54 % (774294)Instructions burned: 8 (million)
% 1.16/0.54 % (774296)Instruction limit reached!
% 1.16/0.54 % (774296)------------------------------
% 1.16/0.54 % (774296)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.16/0.54 % (774296)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.16/0.54 % (774296)CaDiCaL version: 2.1.3
% 1.16/0.54 % (774296)Termination reason: Instruction limit
% 1.16/0.54 % (774296)Termination phase: shuffling
% 1.16/0.54 % (774296)Time elapsed: 0.006 s
% 1.16/0.54 % (774296)Peak memory usage: 10 MB
% 1.16/0.54 % (774296)Instructions burned: 3 (million)
% 1.16/0.54 % (774307)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=2563824239:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.16/0.54 % (774304)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=1626635022:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.16/0.54 % (774292)Instruction limit reached!
% 1.16/0.54 % (774292)------------------------------
% 1.16/0.54 % (774292)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.16/0.54 % (774292)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.16/0.54 % (774292)CaDiCaL version: 2.1.3
% 1.16/0.54 % (774292)Termination reason: Instruction limit
% 1.16/0.54 % (774292)Termination phase: Property scanning
% 1.16/0.54 % (774292)Time elapsed: 0.038 s
% 1.16/0.54 % (774292)Peak memory usage: 11 MB
% 1.16/0.54 % (774292)Instructions burned: 89 (million)
% 1.16/0.54 % (774307)Instruction limit reached!
% 1.16/0.54 % (774307)------------------------------
% 2.01/0.65 % (774307)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.01/0.65 % (774307)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.01/0.65 % (774307)CaDiCaL version: 2.1.3
% 2.01/0.65 % (774307)Termination reason: Instruction limit
% 2.01/0.65 % (774307)Termination phase: shuffling
% 2.01/0.65 % (774307)Time elapsed: 0.004 s
% 2.01/0.65 % (774307)Peak memory usage: 10 MB
% 2.01/0.65 % (774307)Instructions burned: 16 (million)
% 2.01/0.65 % (774302)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3952584234:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 2.01/0.65 % (774304)Instruction limit reached!
% 2.01/0.65 % (774304)------------------------------
% 2.01/0.65 % (774304)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.01/0.65 % (774304)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.01/0.65 % (774304)CaDiCaL version: 2.1.3
% 2.01/0.65 % (774304)Termination reason: Instruction limit
% 2.01/0.65 % (774304)Termination phase: shuffling
% 2.01/0.65 % (774304)Time elapsed: 0.013 s
% 2.01/0.65 % (774304)Peak memory usage: 10 MB
% 2.01/0.65 % (774304)Instructions burned: 15 (million)
% 2.01/0.65 % (774311)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=892700077:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 2.01/0.65 % (774302)Instruction limit reached!
% 2.01/0.65 % (774302)------------------------------
% 2.01/0.65 % (774302)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.01/0.65 % (774302)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.01/0.65 % (774302)CaDiCaL version: 2.1.3
% 2.01/0.65 % (774302)Termination reason: Instruction limit
% 2.01/0.65 % (774302)Termination phase: Property scanning
% 2.01/0.65 % (774302)Time elapsed: 0.011 s
% 2.01/0.65 % (774302)Peak memory usage: 10 MB
% 2.01/0.65 % (774302)Instructions burned: 25 (million)
% 2.01/0.65 % (774311)Instruction limit reached!
% 2.01/0.65 % (774311)------------------------------
% 2.01/0.65 % (774311)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.01/0.65 % (774311)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.01/0.65 % (774311)CaDiCaL version: 2.1.3
% 2.01/0.65 % (774311)Termination reason: Instruction limit
% 2.01/0.65 % (774311)Termination phase: Property scanning
% 2.01/0.65 % (774311)Time elapsed: 0.007 s
% 2.01/0.65 % (774311)Peak memory usage: 10 MB
% 2.01/0.65 % (774311)Instructions burned: 29 (million)
% 2.01/0.65 % (774306)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2691598294:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 2.01/0.65 % (774310)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=3561096609: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)
% 2.01/0.65 % (774316)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
% 2.01/0.65 % (774316)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 2.01/0.65 % (774310)Instruction limit reached!
% 2.01/0.65 % (774310)------------------------------
% 2.01/0.65 % (774310)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.01/0.65 % (774310)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.01/0.65 % (774310)CaDiCaL version: 2.1.3
% 2.01/0.65 % (774310)Termination reason: Instruction limit
% 2.01/0.65 % (774310)Termination phase: shuffling
% 2.01/0.65 % (774310)Time elapsed: 0.001 s
% 2.01/0.65 % (774310)Peak memory usage: 10 MB
% 2.01/0.65 % (774310)Instructions burned: 2 (million)
% 2.01/0.65 % (774316)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=2453196817:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 2.01/0.65 % (774316)Instruction limit reached!
% 2.01/0.65 % (774316)------------------------------
% 2.01/0.65 % (774316)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.01/0.65 % (774316)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.01/0.65 % (774315)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=1167874707:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 2.42/0.71 % (774316)CaDiCaL version: 2.1.3
% 2.42/0.71 % (774316)Termination reason: Instruction limit
% 2.42/0.71 % (774316)Termination phase: shuffling
% 2.42/0.71 % (774316)Time elapsed: 0.004 s
% 2.42/0.71 % (774316)Peak memory usage: 10 MB
% 2.42/0.71 % (774316)Instructions burned: 17 (million)
% 2.42/0.71 % (774322)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=3021564139:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 2.42/0.71 % (774314)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=2208153420:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 2.42/0.71 % (774322)Instruction limit reached!
% 2.42/0.71 % (774322)------------------------------
% 2.42/0.71 % (774322)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.42/0.71 % (774322)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.42/0.71 % (774322)CaDiCaL version: 2.1.3
% 2.42/0.71 % (774322)Termination reason: Instruction limit
% 2.42/0.71 % (774322)Termination phase: Property scanning
% 2.42/0.71 % (774322)Time elapsed: 0.008 s
% 2.42/0.71 % (774322)Peak memory usage: 10 MB
% 2.42/0.71 % (774322)Instructions burned: 35 (million)
% 2.42/0.71 % (774319)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 2.42/0.71 % (774315)Instruction limit reached!
% 2.42/0.71 % (774315)------------------------------
% 2.42/0.71 % (774315)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.42/0.71 % (774315)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.42/0.71 % (774315)CaDiCaL version: 2.1.3
% 2.42/0.71 % (774315)Termination reason: Instruction limit
% 2.42/0.71 % (774315)Termination phase: Preprocessing 3
% 2.42/0.71 % (774315)Time elapsed: 0.029 s
% 2.42/0.71 % (774315)Peak memory usage: 12 MB
% 2.42/0.71 % (774315)Instructions burned: 62 (million)
% 2.42/0.71 % (774325)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=1129599560:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 2.42/0.71 % (774325)Instruction limit reached!
% 2.42/0.71 % (774325)------------------------------
% 2.42/0.71 % (774325)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.42/0.71 % (774325)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.42/0.71 % (774325)CaDiCaL version: 2.1.3
% 2.42/0.71 % (774325)Termination reason: Instruction limit
% 2.42/0.71 % (774325)Termination phase: shuffling
% 2.42/0.71 % (774325)Time elapsed: 0.002 s
% 2.42/0.71 % (774325)Peak memory usage: 10 MB
% 2.42/0.71 % (774325)Instructions burned: 10 (million)
% 2.42/0.71 % (774319)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=3353673067:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 2.42/0.71 % (774314)Instruction limit reached!
% 2.42/0.71 % (774314)------------------------------
% 2.42/0.71 % (774314)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.42/0.71 % (774314)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.42/0.71 % (774314)CaDiCaL version: 2.1.3
% 2.42/0.71 % (774314)Termination reason: Instruction limit
% 2.42/0.71 % (774314)Termination phase: Property scanning
% 2.42/0.71 % (774314)Time elapsed: 0.022 s
% 2.42/0.71 % (774314)Peak memory usage: 10 MB
% 2.42/0.71 % (774314)Instructions burned: 25 (million)
% 2.42/0.71 % (774319)Instruction limit reached!
% 2.42/0.71 % (774319)------------------------------
% 2.42/0.71 % (774319)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.42/0.71 % (774319)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.42/0.71 % (774328)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3368495197:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/20Mi)
% 2.42/0.71 % (774319)CaDiCaL version: 2.1.3
% 2.42/0.71 % (774319)Termination reason: Instruction limit
% 2.42/0.71 % (774319)Termination phase: shuffling
% 2.42/0.71 % (774319)Time elapsed: 0.008 s
% 2.42/0.71 % (774319)Peak memory usage: 10 MB
% 2.42/0.71 % (774319)Instructions burned: 10 (million)
% 2.42/0.71 % (774328)Instruction limit reached!
% 2.42/0.71 % (774328)------------------------------
% 2.86/0.81 % (774328)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.86/0.81 % (774328)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.86/0.81 % (774328)CaDiCaL version: 2.1.3
% 2.86/0.81 % (774328)Termination reason: Instruction limit
% 2.86/0.81 % (774328)Termination phase: Property scanning
% 2.86/0.81 % (774328)Time elapsed: 0.006 s
% 2.86/0.81 % (774328)Peak memory usage: 11 MB
% 2.86/0.81 % (774328)Instructions burned: 25 (million)
% 2.86/0.81 % (774327)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=29393527:i=23:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 2.86/0.81 % (774333)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=1574981280:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 2.86/0.81 % (774332)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=3036571230:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/143Mi)
% 2.86/0.81 % (774327)Instruction limit reached!
% 2.86/0.81 % (774327)------------------------------
% 2.86/0.81 % (774327)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.86/0.81 % (774327)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.86/0.81 % (774327)CaDiCaL version: 2.1.3
% 2.86/0.81 % (774327)Termination reason: Instruction limit
% 2.86/0.81 % (774327)Termination phase: shuffling
% 2.86/0.81 % (774327)Time elapsed: 0.022 s
% 2.86/0.81 % (774327)Peak memory usage: 10 MB
% 2.86/0.81 % (774327)Instructions burned: 24 (million)
% 2.86/0.81 % (774330)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=3893433110:i=1240:rtra=on:ixr=off_2997 on theBenchmark for (2997ds/1240Mi)
% 2.86/0.81 % (774333)Instruction limit reached!
% 2.86/0.81 % (774333)------------------------------
% 2.86/0.81 % (774333)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.86/0.81 % (774333)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.86/0.81 % (774333)CaDiCaL version: 2.1.3
% 2.86/0.81 % (774333)Termination reason: Instruction limit
% 2.86/0.81 % (774333)Termination phase: Saturation
% 2.86/0.81 % (774333)Time elapsed: 0.047 s
% 2.86/0.81 % (774333)Peak memory usage: 14 MB
% 2.86/0.81 % (774333)Instructions burned: 197 (million)
% 2.86/0.81 % (774339)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.86/0.81 % (774339)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1835127772:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 2.86/0.81 % (774339)Instruction limit reached!
% 2.86/0.81 % (774339)------------------------------
% 2.86/0.81 % (774339)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.86/0.81 % (774339)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.86/0.81 % (774339)CaDiCaL version: 2.1.3
% 2.86/0.81 % (774339)Termination reason: Instruction limit
% 2.86/0.81 % (774339)Termination phase: shuffling
% 2.86/0.81 % (774339)Time elapsed: 0.002 s
% 2.86/0.81 % (774339)Peak memory usage: 10 MB
% 2.86/0.81 % (774339)Instructions burned: 8 (million)
% 2.86/0.81 % (774337)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=69033235:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 2.86/0.81 % (774341)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=1706136527:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/181Mi)
% 2.86/0.81 % (774298)Instruction limit reached!
% 2.86/0.81 % (774298)------------------------------
% 2.86/0.81 % (774298)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.86/0.81 % (774298)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.86/0.81 % (774298)CaDiCaL version: 2.1.3
% 2.86/0.81 % (774298)Termination reason: Instruction limit
% 2.86/0.81 % (774298)Termination phase: Saturation
% 2.86/0.81 % (774298)Time elapsed: 0.210 s
% 2.86/0.81 % (774298)Peak memory usage: 15 MB
% 2.86/0.81 % (774298)Instructions burned: 250 (million)
% 2.86/0.81 % (774337)Instruction limit reached!
% 2.86/0.81 % (774337)------------------------------
% 2.86/0.81 % (774337)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.86/0.81 % (774337)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.86/0.89 % (774337)CaDiCaL version: 2.1.3
% 2.86/0.89 % (774337)Termination reason: Instruction limit
% 2.86/0.89 % (774337)Termination phase: Property scanning
% 2.86/0.89 % (774337)Time elapsed: 0.035 s
% 2.86/0.89 % (774337)Peak memory usage: 10 MB
% 2.86/0.89 % (774337)Instructions burned: 44 (million)
% 2.86/0.89 % (774332)Instruction limit reached!
% 2.86/0.89 % (774332)------------------------------
% 2.86/0.89 % (774332)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.86/0.89 % (774332)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.86/0.89 % (774332)CaDiCaL version: 2.1.3
% 2.86/0.89 % (774332)Termination reason: Instruction limit
% 2.86/0.89 % (774332)Termination phase: Saturation
% 2.86/0.89 % (774332)Time elapsed: 0.102 s
% 2.86/0.89 % (774332)Peak memory usage: 13 MB
% 2.86/0.89 % (774332)Instructions burned: 145 (million)
% 2.86/0.89 % (774344)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=2355344639:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2996 on theBenchmark for (2996ds/169Mi)
% 2.86/0.89 % (774346)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=1174407550:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2996 on theBenchmark for (2996ds/22Mi)
% 2.86/0.89 % (774345)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.86/0.89 % (774346)Instruction limit reached!
% 2.86/0.89 % (774346)------------------------------
% 2.86/0.89 % (774346)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.86/0.89 % (774346)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.86/0.89 % (774346)CaDiCaL version: 2.1.3
% 2.86/0.89 % (774346)Termination reason: Instruction limit
% 2.86/0.89 % (774346)Termination phase: shuffling
% 2.86/0.89 % (774346)Time elapsed: 0.010 s
% 2.86/0.89 % (774346)Peak memory usage: 10 MB
% 2.86/0.89 % (774346)Instructions burned: 22 (million)
% 2.86/0.89 % (774345)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=1879836696:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2996 on theBenchmark for (2996ds/6Mi)
% 2.86/0.89 % (774345)Instruction limit reached!
% 2.86/0.89 % (774345)------------------------------
% 2.86/0.89 % (774345)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.86/0.89 % (774345)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.86/0.89 % (774345)CaDiCaL version: 2.1.3
% 2.86/0.89 % (774345)Termination reason: Instruction limit
% 2.86/0.89 % (774345)Termination phase: shuffling
% 2.86/0.89 % (774345)Time elapsed: 0.003 s
% 2.86/0.89 % (774345)Peak memory usage: 10 MB
% 2.86/0.89 % (774345)Instructions burned: 6 (million)
% 2.86/0.89 % (774344)Instruction limit reached!
% 2.86/0.89 % (774344)------------------------------
% 2.86/0.89 % (774344)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.86/0.89 % (774344)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.86/0.89 % (774344)CaDiCaL version: 2.1.3
% 2.86/0.89 % (774344)Termination reason: Instruction limit
% 2.86/0.89 % (774344)Termination phase: Saturation
% 2.86/0.89 % (774344)Time elapsed: 0.038 s
% 2.86/0.89 % (774344)Peak memory usage: 14 MB
% 2.86/0.89 % (774344)Instructions burned: 170 (million)
% 2.86/0.89 % (774306)Instruction limit reached!
% 2.86/0.89 % (774306)------------------------------
% 2.86/0.89 % (774306)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.86/0.89 % (774306)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.86/0.89 % (774306)CaDiCaL version: 2.1.3
% 2.86/0.89 % (774306)Termination reason: Instruction limit
% 2.86/0.89 % (774306)Termination phase: Saturation
% 2.86/0.89 % (774306)Time elapsed: 0.221 s
% 2.86/0.89 % (774306)Peak memory usage: 14 MB
% 2.86/0.89 % (774306)Instructions burned: 327 (million)
% 2.86/0.89 % (774349)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=2254158853:i=19:add=on:rtra=on_2996 on theBenchmark for (2996ds/19Mi)
% 2.86/0.89 % (774353)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=2543356659: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)
% 3.42/1.01 % (774353)Instruction limit reached!
% 3.42/1.01 % (774353)------------------------------
% 3.42/1.01 % (774353)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.42/1.01 % (774353)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.42/1.01 % (774353)CaDiCaL version: 2.1.3
% 3.42/1.01 % (774353)Termination reason: Instruction limit
% 3.42/1.01 % (774353)Termination phase: Preprocessing 3
% 3.42/1.01 % (774353)Time elapsed: 0.012 s
% 3.42/1.01 % (774353)Peak memory usage: 11 MB
% 3.42/1.01 % (774353)Instructions burned: 49 (million)
% 3.42/1.01 % (774352)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=208363904: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)
% 3.42/1.01 % (774351)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=1419247690:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/316Mi)
% 3.42/1.01 % (774349)Instruction limit reached!
% 3.42/1.01 % (774349)------------------------------
% 3.42/1.01 % (774349)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.42/1.01 % (774349)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.42/1.01 % (774349)CaDiCaL version: 2.1.3
% 3.42/1.01 % (774349)Termination reason: Instruction limit
% 3.42/1.01 % (774349)Termination phase: shuffling
% 3.42/1.01 % (774349)Time elapsed: 0.019 s
% 3.42/1.01 % (774349)Peak memory usage: 10 MB
% 3.42/1.01 % (774349)Instructions burned: 19 (million)
% 3.42/1.01 % (774359)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=2688443674:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2995 on theBenchmark for (2995ds/21Mi)
% 3.42/1.01 % (774357)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=3066710722:i=480:rtra=on_2995 on theBenchmark for (2995ds/480Mi)
% 3.42/1.01 % (774359)Instruction limit reached!
% 3.42/1.01 % (774359)------------------------------
% 3.42/1.01 % (774359)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.42/1.01 % (774359)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.42/1.01 % (774359)CaDiCaL version: 2.1.3
% 3.42/1.01 % (774359)Termination reason: Instruction limit
% 3.42/1.01 % (774359)Termination phase: shuffling
% 3.42/1.01 % (774359)Time elapsed: 0.006 s
% 3.42/1.01 % (774359)Peak memory usage: 10 MB
% 3.42/1.01 % (774359)Instructions burned: 24 (million)
% 3.42/1.01 % (774362)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 3.42/1.01 % (774341)Instruction limit reached!
% 3.42/1.01 % (774341)------------------------------
% 3.42/1.01 % (774341)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.42/1.01 % (774341)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.42/1.01 % (774341)CaDiCaL version: 2.1.3
% 3.42/1.01 % (774341)Termination reason: Instruction limit
% 3.42/1.01 % (774341)Termination phase: Saturation
% 3.42/1.01 % (774341)Time elapsed: 0.127 s
% 3.42/1.01 % (774341)Peak memory usage: 14 MB
% 3.42/1.01 % (774341)Instructions burned: 181 (million)
% 3.42/1.01 % (774362)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=2176066898:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/200Mi)
% 3.42/1.01 % (774363)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3196277402:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2995 on theBenchmark for (2995ds/13Mi)
% 3.42/1.01 % (774363)Instruction limit reached!
% 3.42/1.01 % (774363)------------------------------
% 3.42/1.01 % (774363)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.42/1.01 % (774363)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.42/1.01 % (774363)CaDiCaL version: 2.1.3
% 3.42/1.01 % (774363)Termination reason: Instruction limit
% 3.42/1.01 % (774363)Termination phase: shuffling
% 3.42/1.01 % (774363)Time elapsed: 0.006 s
% 3.42/1.01 % (774363)Peak memory usage: 10 MB
% 3.42/1.01 % (774363)Instructions burned: 14 (million)
% 3.42/1.01 % (774362)Instruction limit reached!
% 3.42/1.01 % (774362)------------------------------
% 3.42/1.01 % (774362)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.80/1.05 % (774362)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.80/1.05 % (774362)CaDiCaL version: 2.1.3
% 4.80/1.05 % (774362)Termination reason: Instruction limit
% 4.80/1.05 % (774362)Termination phase: Saturation
% 4.80/1.05 % (774362)Time elapsed: 0.048 s
% 4.80/1.05 % (774362)Peak memory usage: 14 MB
% 4.80/1.05 % (774362)Instructions burned: 202 (million)
% 4.80/1.05 % (774366)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=3869678822:i=66:s2at=3:nm=2:rtra=on:rawr=on_2995 on theBenchmark for (2995ds/66Mi)
% 4.80/1.05 % (774367)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=2972013456:i=51:fsr=off:rtra=on_2995 on theBenchmark for (2995ds/51Mi)
% 4.80/1.05 % (774367)Instruction limit reached!
% 4.80/1.05 % (774367)------------------------------
% 4.80/1.05 % (774367)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.80/1.05 % (774367)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.80/1.05 % (774367)CaDiCaL version: 2.1.3
% 4.80/1.05 % (774367)Termination reason: Instruction limit
% 4.80/1.05 % (774367)Termination phase: Property scanning
% 4.80/1.05 % (774367)Time elapsed: 0.012 s
% 4.80/1.05 % (774367)Peak memory usage: 11 MB
% 4.80/1.05 % (774367)Instructions burned: 53 (million)
% 4.80/1.05 % (774366)Instruction limit reached!
% 4.80/1.05 % (774366)------------------------------
% 4.80/1.05 % (774366)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.80/1.05 % (774366)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.80/1.05 % (774366)CaDiCaL version: 2.1.3
% 4.80/1.05 % (774366)Termination reason: Instruction limit
% 4.80/1.05 % (774366)Termination phase: Property scanning
% 4.80/1.05 % (774366)Time elapsed: 0.029 s
% 4.80/1.05 % (774366)Peak memory usage: 11 MB
% 4.80/1.05 % (774366)Instructions burned: 68 (million)
% 4.80/1.05 % (774370)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=1439271576:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/31Mi)
% 4.80/1.05 % (774370)Instruction limit reached!
% 4.80/1.05 % (774370)------------------------------
% 4.80/1.05 % (774370)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.80/1.05 % (774370)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.80/1.05 % (774370)CaDiCaL version: 2.1.3
% 4.80/1.05 % (774370)Termination reason: Instruction limit
% 4.80/1.05 % (774370)Termination phase: Property scanning
% 4.80/1.05 % (774370)Time elapsed: 0.008 s
% 4.80/1.05 % (774370)Peak memory usage: 10 MB
% 4.80/1.05 % (774370)Instructions burned: 36 (million)
% 4.80/1.05 % (774371)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=3459551406:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2994 on theBenchmark for (2994ds/137Mi)
% 4.80/1.05 % (774373)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=2745894225:cond=on:i=34:hud=10:nm=10:rtra=on_2994 on theBenchmark for (2994ds/34Mi)
% 4.80/1.05 % (774373)Instruction limit reached!
% 4.80/1.05 % (774373)------------------------------
% 4.80/1.05 % (774373)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.80/1.05 % (774373)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.80/1.05 % (774373)CaDiCaL version: 2.1.3
% 4.80/1.05 % (774373)Termination reason: Instruction limit
% 4.80/1.05 % (774373)Termination phase: Property scanning
% 4.80/1.05 % (774373)Time elapsed: 0.008 s
% 4.80/1.05 % (774373)Peak memory usage: 10 MB
% 4.80/1.05 % (774373)Instructions burned: 38 (million)
% 4.80/1.05 % (774351)Instruction limit reached!
% 4.80/1.05 % (774351)------------------------------
% 4.80/1.05 % (774351)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.80/1.05 % (774351)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.80/1.05 % (774351)CaDiCaL version: 2.1.3
% 4.80/1.05 % (774351)Termination reason: Instruction limit
% 4.80/1.05 % (774351)Termination phase: Saturation
% 4.80/1.05 % (774351)Time elapsed: 0.152 s
% 4.80/1.05 % (774351)Peak memory usage: 15 MB
% 4.80/1.05 % (774351)Instructions burned: 318 (million)
% 4.80/1.05 % (774376)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=2934397912:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2994 on theBenchmark for (2994ds/67Mi)
% 4.80/1.05 % (774377)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 4.80/1.05 % (774377)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=1125261930:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2994 on theBenchmark for (2994ds/180Mi)
% 4.80/1.05 % (774376)Instruction limit reached!
% 4.80/1.05 % (774376)------------------------------
% 4.80/1.05 % (774376)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.80/1.05 % (774376)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.80/1.05 % (774376)CaDiCaL version: 2.1.3
% 4.80/1.05 % (774376)Termination reason: Instruction limit
% 4.80/1.05 % (774376)Termination phase: Property scanning
% 4.80/1.05 % (774376)Time elapsed: 0.016 s
% 4.80/1.05 % (774376)Peak memory usage: 11 MB
% 4.80/1.05 % (774376)Instructions burned: 72 (million)
% 4.80/1.05 % (774380)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=254281391:st=2:i=246:sd=3:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/246Mi)
% 4.80/1.05 % (774371)Instruction limit reached!
% 4.80/1.05 % (774371)------------------------------
% 4.80/1.05 % (774371)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.80/1.05 % (774371)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.80/1.05 % (774371)CaDiCaL version: 2.1.3
% 4.80/1.05 % (774371)Termination reason: Instruction limit
% 4.80/1.05 % (774371)Termination phase: Saturation
% 4.80/1.05 % (774371)Time elapsed: 0.061 s
% 4.80/1.05 % (774371)Peak memory usage: 13 MB
% 4.80/1.05 % (774371)Instructions burned: 137 (million)
% 4.80/1.05 % (774273)Instruction limit reached!
% 4.80/1.05 % (774273)------------------------------
% 4.80/1.05 % (774273)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.80/1.05 % (774273)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.80/1.05 % (774273)CaDiCaL version: 2.1.3
% 4.80/1.05 % (774273)Termination reason: Instruction limit
% 4.80/1.05 % (774273)Termination phase: Saturation
% 4.80/1.05 % (774273)Time elapsed: 0.582 s
% 4.80/1.05 % (774273)Peak memory usage: 19 MB
% 4.80/1.05 % (774273)Instructions burned: 635 (million)
% 4.80/1.05 % (774382)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=1166675250:cond=on:i=96:bd=all:rtra=on_2993 on theBenchmark for (2993ds/96Mi)
% 4.80/1.05 % (774384)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=2254027501:i=427:sd=1:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/427Mi)
% 4.80/1.05 % (774380)Instruction limit reached!
% 4.80/1.05 % (774380)------------------------------
% 4.80/1.05 % (774380)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.80/1.05 % (774380)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.80/1.05 % (774380)CaDiCaL version: 2.1.3
% 4.80/1.05 % (774380)Termination reason: Instruction limit
% 4.80/1.05 % (774380)Termination phase: Saturation
% 4.80/1.05 % (774380)Time elapsed: 0.061 s
% 4.80/1.05 % (774380)Peak memory usage: 15 MB
% 4.80/1.05 % (774380)Instructions burned: 249 (million)
% 4.80/1.05 % (774386)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1424553243:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/874Mi)
% 4.80/1.05 % (774382)Instruction limit reached!
% 4.80/1.05 % (774382)------------------------------
% 4.80/1.05 % (774382)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.80/1.05 % (774382)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.80/1.05 % (774382)CaDiCaL version: 2.1.3
% 4.80/1.05 % (774382)Termination reason: Instruction limit
% 4.80/1.05 % (774382)Termination phase: Property scanning
% 4.80/1.05 % (774382)Time elapsed: 0.041 s
% 4.80/1.05 % (774382)Peak memory usage: 12 MB
% 4.80/1.05 % (774382)Instructions burned: 98 (million)
% 4.80/1.05 % (774377)Instruction limit reached!
% 4.80/1.05 % (774377)------------------------------
% 4.80/1.05 % (774377)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.80/1.05 % (774377)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.80/1.05 % (774377)CaDiCaL version: 2.1.3
% 4.80/1.05 % (774377)Termination reason: Instruction limit
% 4.80/1.05 % (774377)Termination phase: Saturation
% 4.80/1.05 % (774377)Time elapsed: 0.104 s
% 4.80/1.05 % (774377)Peak memory usage: 13 MB
% 4.80/1.05 % (774377)Instructions burned: 181 (million)
% 4.80/1.05 % (774388)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=940925428:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/515Mi)
% 4.80/1.05 % (774389)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=755778555:st=1.5:i=130:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/130Mi)
% 4.80/1.05 % (774357) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-774265-774357"...
% 4.80/1.05 % (774357)...printing done.
% 4.80/1.05 % (774357)Refutation found. Thanks to Tanya!
% 4.80/1.05 % SZS status Theorem for theBenchmark
% 4.80/1.05 % SZS output start Proof for theBenchmark
% 4.80/1.05 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 4.80/1.05 thf(func_def_0, type, in: ($i > $i > $o)).
% 4.80/1.05 thf(func_def_1, type, exu: (($i > $o) > $o)).
% 4.80/1.05 thf(func_def_3, type, setextAx: $o).
% 4.80/1.05 thf(func_def_5, type, emptysetAx: $o).
% 4.80/1.05 thf(func_def_6, type, setadjoin: ($i > $i > $i)).
% 4.80/1.05 thf(func_def_7, type, setadjoinAx: $o).
% 4.80/1.05 thf(func_def_8, type, powerset: ($i > $i)).
% 4.80/1.05 thf(func_def_9, type, powersetAx: $o).
% 4.80/1.05 thf(func_def_10, type, setunion: ($i > $i)).
% 4.80/1.05 thf(func_def_11, type, setunionAx: $o).
% 4.80/1.05 thf(func_def_13, type, omega0Ax: $o).
% 4.80/1.05 thf(func_def_14, type, omegaSAx: $o).
% 4.80/1.05 thf(func_def_15, type, omegaIndAx: $o).
% 4.80/1.05 thf(func_def_16, type, replAx: $o).
% 4.80/1.05 thf(func_def_17, type, foundationAx: $o).
% 4.80/1.05 thf(func_def_18, type, wellorderingAx: $o).
% 4.80/1.05 thf(func_def_19, type, descr: (($i > $o) > $i)).
% 4.80/1.05 thf(func_def_20, type, descrp: $o).
% 4.80/1.05 thf(func_def_21, type, dsetconstr: ($i > ($i > $o) > $i)).
% 4.80/1.05 thf(func_def_22, type, dsetconstrI: $o).
% 4.80/1.05 thf(func_def_23, type, dsetconstrEL: $o).
% 4.80/1.05 thf(func_def_24, type, dsetconstrER: $o).
% 4.80/1.05 thf(func_def_25, type, exuE1: $o).
% 4.80/1.05 thf(func_def_26, type, prop2set: ($o > $i)).
% 4.80/1.05 thf(func_def_27, type, prop2setE: $o).
% 4.80/1.05 thf(func_def_28, type, emptysetE: $o).
% 4.80/1.05 thf(func_def_29, type, emptysetimpfalse: $o).
% 4.80/1.05 thf(func_def_30, type, notinemptyset: $o).
% 4.80/1.05 thf(func_def_31, type, exuE3e: $o).
% 4.80/1.05 thf(func_def_32, type, setext: $o).
% 4.80/1.05 thf(func_def_33, type, emptyI: $o).
% 4.80/1.05 thf(func_def_34, type, noeltsimpempty: $o).
% 4.80/1.05 thf(func_def_35, type, setbeta: $o).
% 4.80/1.05 thf(func_def_36, type, nonempty: ($i > $o)).
% 4.80/1.05 thf(func_def_37, type, nonemptyE1: $o).
% 4.80/1.05 thf(func_def_38, type, nonemptyI: $o).
% 4.80/1.05 thf(func_def_39, type, nonemptyI1: $o).
% 4.80/1.05 thf(func_def_40, type, setadjoinIL: $o).
% 4.80/1.05 thf(func_def_41, type, emptyinunitempty: $o).
% 4.80/1.05 thf(func_def_42, type, setadjoinIR: $o).
% 4.80/1.05 thf(func_def_43, type, setadjoinE: $o).
% 4.80/1.05 thf(func_def_44, type, setadjoinOr: $o).
% 4.80/1.05 thf(func_def_45, type, setoftrueEq: $o).
% 4.80/1.05 thf(func_def_46, type, powersetI: $o).
% 4.80/1.05 thf(func_def_47, type, emptyinPowerset: $o).
% 4.80/1.05 thf(func_def_48, type, emptyInPowerset: $o).
% 4.80/1.05 thf(func_def_49, type, powersetE: $o).
% 4.80/1.05 thf(func_def_50, type, setunionI: $o).
% 4.80/1.05 thf(func_def_51, type, setunionE: $o).
% 4.80/1.05 thf(func_def_52, type, subPowSU: $o).
% 4.80/1.05 thf(func_def_53, type, exuE2: $o).
% 4.80/1.05 thf(func_def_54, type, nonemptyImpWitness: $o).
% 4.80/1.05 thf(func_def_55, type, uniqinunit: $o).
% 4.80/1.05 thf(func_def_56, type, notinsingleton: $o).
% 4.80/1.05 thf(func_def_57, type, eqinunit: $o).
% 4.80/1.05 thf(func_def_58, type, singletonsswitch: $o).
% 4.80/1.05 thf(func_def_59, type, upairsetE: $o).
% 4.80/1.05 thf(func_def_60, type, upairsetIL: $o).
% 4.80/1.05 thf(func_def_61, type, upairsetIR: $o).
% 4.80/1.05 thf(func_def_62, type, emptyE1: $o).
% 4.80/1.05 thf(func_def_63, type, vacuousDall: $o).
% 4.80/1.05 thf(func_def_64, type, quantDeMorgan1: $o).
% 4.80/1.05 thf(func_def_65, type, quantDeMorgan2: $o).
% 4.80/1.05 thf(func_def_66, type, quantDeMorgan3: $o).
% 4.80/1.05 thf(func_def_67, type, quantDeMorgan4: $o).
% 4.80/1.05 thf(func_def_68, type, prop2setI: $o).
% 4.80/1.05 thf(func_def_69, type, set2prop: ($i > $o)).
% 4.80/1.05 thf(func_def_70, type, prop2set2propI: $o).
% 4.80/1.05 thf(func_def_71, type, notdexE: $o).
% 4.80/1.05 thf(func_def_72, type, notdallE: $o).
% 4.80/1.05 thf(func_def_73, type, exuI1: $o).
% 4.80/1.05 thf(func_def_74, type, exuI3: $o).
% 4.80/1.05 thf(func_def_75, type, exuI2: $o).
% 4.80/1.05 thf(func_def_76, type, inCongP: $o).
% 4.80/1.05 thf(func_def_77, type, in__Cong: $o).
% 4.80/1.05 thf(func_def_78, type, exuE3u: $o).
% 4.80/1.05 thf(func_def_79, type, exu__Cong: $o).
% 4.80/1.05 thf(func_def_80, type, emptyset__Cong: $o).
% 4.80/1.05 thf(func_def_81, type, setadjoin__Cong: $o).
% 4.80/1.05 thf(func_def_82, type, powerset__Cong: $o).
% 4.80/1.05 thf(func_def_83, type, setunion__Cong: $o).
% 4.80/1.05 thf(func_def_84, type, omega__Cong: $o).
% 4.80/1.05 thf(func_def_85, type, exuEu: $o).
% 4.80/1.05 thf(func_def_86, type, descr__Cong: $o).
% 4.80/1.05 thf(func_def_87, type, dsetconstr__Cong: $o).
% 4.80/1.05 thf(func_def_88, type, subset: ($i > $i > $o)).
% 4.80/1.05 thf(func_def_89, type, disjoint: ($i > $i > $o)).
% 4.80/1.05 thf(func_def_90, type, setsmeet: ($i > $i > $o)).
% 4.80/1.05 thf(func_def_91, type, subsetI1: $o).
% 4.80/1.05 thf(func_def_92, type, eqimpsubset2: $o).
% 4.80/1.05 thf(func_def_93, type, eqimpsubset1: $o).
% 4.80/1.05 thf(func_def_94, type, subsetI2: $o).
% 4.80/1.05 thf(func_def_95, type, emptysetsubset: $o).
% 4.80/1.05 thf(func_def_96, type, subsetE: $o).
% 4.80/1.05 thf(func_def_97, type, subsetE2: $o).
% 4.80/1.05 thf(func_def_98, type, notsubsetI: $o).
% 4.80/1.05 thf(func_def_99, type, notequalI1: $o).
% 4.80/1.05 thf(func_def_100, type, notequalI2: $o).
% 4.80/1.05 thf(func_def_101, type, subsetRefl: $o).
% 4.80/1.05 thf(func_def_102, type, subsetTrans: $o).
% 4.80/1.05 thf(func_def_103, type, setadjoinSub: $o).
% 4.80/1.05 thf(func_def_104, type, setadjoinSub2: $o).
% 4.80/1.05 thf(func_def_105, type, subset2powerset: $o).
% 4.80/1.05 thf(func_def_106, type, setextsub: $o).
% 4.80/1.05 thf(func_def_107, type, subsetemptysetimpeq: $o).
% 4.80/1.05 thf(func_def_108, type, powersetI1: $o).
% 4.80/1.05 thf(func_def_109, type, powersetE1: $o).
% 4.80/1.05 thf(func_def_110, type, inPowerset: $o).
% 4.80/1.05 thf(func_def_111, type, powersetsubset: $o).
% 4.80/1.05 thf(func_def_112, type, sepInPowerset: $o).
% 4.80/1.05 thf(func_def_113, type, sepSubset: $o).
% 4.80/1.05 thf(func_def_114, type, binunion: ($i > $i > $i)).
% 4.80/1.05 thf(func_def_115, type, binunionIL: $o).
% 4.80/1.05 thf(func_def_116, type, upairset2IR: $o).
% 4.80/1.05 thf(func_def_117, type, binunionIR: $o).
% 4.80/1.05 thf(func_def_118, type, binunionEcases: $o).
% 4.80/1.05 thf(func_def_119, type, binunionE: $o).
% 4.80/1.05 thf(func_def_120, type, binunionLsub: $o).
% 4.80/1.05 thf(func_def_121, type, binunionRsub: $o).
% 4.80/1.05 thf(func_def_122, type, binintersect: ($i > $i > $i)).
% 4.80/1.05 thf(func_def_123, type, binintersectI: $o).
% 4.80/1.05 thf(func_def_124, type, binintersectSubset5: $o).
% 4.80/1.05 thf(func_def_125, type, binintersectEL: $o).
% 4.80/1.05 thf(func_def_126, type, binintersectLsub: $o).
% 4.80/1.05 thf(func_def_127, type, binintersectSubset2: $o).
% 4.80/1.05 thf(func_def_128, type, binintersectSubset3: $o).
% 4.80/1.05 thf(func_def_129, type, binintersectER: $o).
% 4.80/1.05 thf(func_def_130, type, disjointsetsI1: $o).
% 4.80/1.05 thf(func_def_131, type, binintersectRsub: $o).
% 4.80/1.05 thf(func_def_132, type, binintersectSubset4: $o).
% 4.80/1.05 thf(func_def_133, type, binintersectSubset1: $o).
% 4.80/1.05 thf(func_def_134, type, bs114d: $o).
% 4.80/1.05 thf(func_def_135, type, regular: ($i > $o)).
% 4.80/1.05 thf(func_def_136, type, setminus: ($i > $i > $i)).
% 4.80/1.05 thf(func_def_137, type, setminusI: $o).
% 4.80/1.05 thf(func_def_138, type, setminusEL: $o).
% 4.80/1.05 thf(func_def_139, type, setminusER: $o).
% 4.80/1.05 thf(func_def_140, type, setminusSubset2: $o).
% 4.80/1.05 thf(func_def_141, type, setminusERneg: $o).
% 4.80/1.05 thf(func_def_142, type, setminusELneg: $o).
% 4.80/1.05 thf(func_def_143, type, setminusILneg: $o).
% 4.80/1.05 thf(func_def_144, type, setminusIRneg: $o).
% 4.80/1.05 thf(func_def_145, type, setminusLsub: $o).
% 4.80/1.05 thf(func_def_146, type, setminusSubset1: $o).
% 4.80/1.05 thf(func_def_147, type, symdiff: ($i > $i > $i)).
% 4.80/1.05 thf(func_def_148, type, symdiffE: $o).
% 4.80/1.05 thf(func_def_149, type, symdiffI1: $o).
% 4.80/1.05 thf(func_def_150, type, symdiffI2: $o).
% 4.80/1.05 thf(func_def_151, type, symdiffIneg1: $o).
% 4.80/1.05 thf(func_def_152, type, symdiffIneg2: $o).
% 4.80/1.05 thf(func_def_153, type, iskpair: ($i > $o)).
% 4.80/1.05 thf(func_def_154, type, secondinupair: $o).
% 4.80/1.05 thf(func_def_155, type, setukpairIL: $o).
% 4.80/1.05 thf(func_def_156, type, setukpairIR: $o).
% 4.80/1.05 thf(func_def_157, type, kpairiskpair: $o).
% 4.80/1.05 thf(func_def_158, type, kpair: ($i > $i > $i)).
% 4.80/1.05 thf(func_def_159, type, kpairp: $o).
% 4.80/1.05 thf(func_def_160, type, cartprod: ($i > $i > $i)).
% 4.80/1.05 thf(func_def_161, type, singletonsubset: $o).
% 4.80/1.05 thf(func_def_162, type, singletoninpowerset: $o).
% 4.80/1.05 thf(func_def_163, type, singletoninpowunion: $o).
% 4.80/1.05 thf(func_def_164, type, upairset2E: $o).
% 4.80/1.05 thf(func_def_165, type, upairsubunion: $o).
% 4.80/1.05 thf(func_def_166, type, upairinpowunion: $o).
% 4.80/1.05 thf(func_def_167, type, ubforcartprodlem1: $o).
% 4.80/1.05 thf(func_def_168, type, ubforcartprodlem2: $o).
% 4.80/1.05 thf(func_def_169, type, ubforcartprodlem3: $o).
% 4.80/1.05 thf(func_def_170, type, cartprodpairin: $o).
% 4.80/1.05 thf(func_def_171, type, cartprodmempair1: $o).
% 4.80/1.05 thf(func_def_172, type, cartprodmempair: $o).
% 4.80/1.05 thf(func_def_173, type, setunionE2: $o).
% 4.80/1.05 thf(func_def_174, type, setunionsingleton1: $o).
% 4.80/1.05 thf(func_def_175, type, setunionsingleton2: $o).
% 4.80/1.05 thf(func_def_176, type, setunionsingleton: $o).
% 4.80/1.05 thf(func_def_177, type, singleton: ($i > $o)).
% 4.80/1.05 thf(func_def_178, type, singletonprop: $o).
% 4.80/1.05 thf(func_def_179, type, ex1: ($i > ($i > $o) > $o)).
% 4.80/1.05 thf(func_def_180, type, ex1E1: $o).
% 4.80/1.05 thf(func_def_181, type, ex1I: $o).
% 4.80/1.05 thf(func_def_182, type, ex1I2: $o).
% 4.80/1.05 thf(func_def_183, type, singletonsuniq: $o).
% 4.80/1.05 thf(func_def_184, type, atmost1p: ($i > $o)).
% 4.80/1.05 thf(func_def_185, type, atleast2p: ($i > $o)).
% 4.80/1.05 thf(func_def_186, type, atmost2p: ($i > $o)).
% 4.80/1.05 thf(func_def_187, type, upairsetp: ($i > $o)).
% 4.80/1.05 thf(func_def_188, type, setukpairinjL1: $o).
% 4.80/1.05 thf(func_def_189, type, kfstsingleton: $o).
% 4.80/1.05 thf(func_def_190, type, theprop: $o).
% 4.80/1.05 thf(func_def_191, type, kfst: ($i > $i)).
% 4.80/1.05 thf(func_def_192, type, kfstpairEq: $o).
% 4.80/1.05 thf(func_def_193, type, cartprodfstin: $o).
% 4.80/1.05 thf(func_def_194, type, setukpairinjL2: $o).
% 4.80/1.05 thf(func_def_195, type, setukpairinjL: $o).
% 4.80/1.05 thf(func_def_196, type, setukpairinjR11: $o).
% 4.80/1.05 thf(func_def_197, type, setukpairinjR12: $o).
% 4.80/1.05 thf(func_def_198, type, setukpairinjR1: $o).
% 4.80/1.05 thf(func_def_199, type, upairequniteq: $o).
% 4.80/1.05 thf(func_def_200, type, setukpairinjR2: $o).
% 4.80/1.05 thf(func_def_201, type, setukpairinjR: $o).
% 4.80/1.05 thf(func_def_202, type, ksndsingleton: $o).
% 4.80/1.05 thf(func_def_203, type, ksnd: ($i > $i)).
% 4.80/1.05 thf(func_def_204, type, ksndpairEq: $o).
% 4.80/1.05 thf(func_def_205, type, kpairsurjEq: $o).
% 4.80/1.05 thf(func_def_206, type, cartprodsndin: $o).
% 4.80/1.05 thf(func_def_207, type, cartprodpairmemEL: $o).
% 4.80/1.05 thf(func_def_208, type, cartprodpairmemER: $o).
% 4.80/1.05 thf(func_def_209, type, cartprodmempaircEq: $o).
% 4.80/1.05 thf(func_def_210, type, cartprodfstpairEq: $o).
% 4.80/1.05 thf(func_def_211, type, cartprodsndpairEq: $o).
% 4.80/1.05 thf(func_def_212, type, cartprodpairsurjEq: $o).
% 4.80/1.05 thf(func_def_213, type, breln: ($i > $i > $i > $o)).
% 4.80/1.05 thf(func_def_214, type, dpsetconstr: ($i > $i > ($i > $i > $o) > $i)).
% 4.80/1.05 thf(func_def_215, type, dpsetconstrI: $o).
% 4.80/1.05 thf(func_def_216, type, dpsetconstrSub: $o).
% 4.80/1.05 thf(func_def_217, type, setOfPairsIsBReln: $o).
% 4.80/1.05 thf(func_def_218, type, dpsetconstrERa: $o).
% 4.80/1.05 thf(func_def_219, type, dpsetconstrEL1: $o).
% 4.80/1.05 thf(func_def_220, type, dpsetconstrEL2: $o).
% 4.80/1.05 thf(func_def_221, type, dpsetconstrER: $o).
% 4.80/1.05 thf(func_def_222, type, func: ($i > $i > $i > $o)).
% 4.80/1.05 thf(func_def_223, type, funcSet: ($i > $i > $i)).
% 4.80/1.05 thf(func_def_224, type, funcImageSingleton: $o).
% 4.80/1.05 thf(func_def_225, type, apProp: $o).
% 4.80/1.05 thf(func_def_226, type, ap: ($i > $i > $i > $i > $i)).
% 4.80/1.05 thf(func_def_227, type, app: $o).
% 4.80/1.05 thf(func_def_228, type, infuncsetfunc: $o).
% 4.80/1.05 thf(func_def_229, type, ap2p: $o).
% 4.80/1.05 thf(func_def_230, type, funcinfuncset: $o).
% 4.80/1.05 thf(func_def_231, type, lamProp: $o).
% 4.80/1.05 thf(func_def_232, type, lam: ($i > $i > ($i > $i) > $i)).
% 4.80/1.05 thf(func_def_233, type, lamp: $o).
% 4.80/1.05 thf(func_def_236, type, db0: !>[X0: $tType]:(X0)).
% 4.80/1.05 thf(func_def_237, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 4.80/1.05 thf(func_def_238, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 4.80/1.05 thf(func_def_239, type, vAND: ($o > $o > $o)).
% 4.80/1.05 thf(func_def_240, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 4.80/1.05 thf(func_def_241, type, vIMP: ($o > $o > $o)).
% 4.80/1.05 thf(func_def_242, type, db2: !>[X0: $tType]:(X0)).
% 4.80/1.05 thf(func_def_243, type, db1: !>[X0: $tType]:(X0)).
% 4.80/1.05 thf(func_def_244, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 4.80/1.05 thf(func_def_245, type, db3: !>[X0: $tType]:(X0)).
% 4.80/1.05 thf(func_def_246, type, vNOT: ($o > $o)).
% 4.80/1.05 thf(func_def_247, type, sP0: $o).
% 4.80/1.05 thf(func_def_248, type, sP1: ($i > $o > $i > $i > $o)).
% 4.80/1.05 thf(func_def_249, type, sP2: $o).
% 4.80/1.05 thf(func_def_250, type, sP3: ($i > $i > $o)).
% 4.80/1.05 thf(func_def_251, type, sP4: ($i > $o)).
% 4.80/1.05 thf(func_def_252, type, sP5: ($i > $i > $o)).
% 4.80/1.05 thf(func_def_253, type, sP6: ($i > $i > $o)).
% 4.80/1.05 thf(func_def_254, type, sP7: $o).
% 4.80/1.05 thf(func_def_263, type, sK16: (($i > $o) > $i)).
% 4.80/1.05 thf(func_def_264, type, sK17: (($i > $o) > $i)).
% 4.80/1.05 thf(func_def_265, type, sK18: ($i > $o)).
% 4.80/1.05 thf(func_def_276, type, sK29: ($i > $o)).
% 4.80/1.05 thf(func_def_277, type, sK30: ($i > $o)).
% 4.80/1.05 thf(func_def_278, type, sK31: (($i > $o) > ($i > $o) > $i)).
% 4.80/1.05 thf(func_def_279, type, sK32: (($i > $o) > ($i > $o) > $i)).
% 4.80/1.05 thf(func_def_280, type, sK33: ($i > $i > $i)).
% 4.80/1.05 thf(func_def_294, type, sK47: ($i > $o)).
% 4.80/1.05 thf(func_def_302, type, sK55: ($i > $o)).
% 4.80/1.05 thf(func_def_308, type, sK61: ($i > $i)).
% 4.80/1.05 thf(func_def_316, type, sK69: ($i > $o)).
% 4.80/1.05 thf(func_def_318, type, sK71: (($i > $o) > $i > $i)).
% 4.80/1.05 thf(func_def_319, type, sK72: (($i > $o) > $i > $i)).
% 4.80/1.05 thf(func_def_320, type, sK73: ($i > $o)).
% 4.80/1.05 thf(func_def_341, type, sK94: ($i > $i > $o)).
% 4.80/1.05 thf(func_def_348, type, sK101: ($i > $o)).
% 4.80/1.05 thf(func_def_351, type, sK104: ($i > ($i > $o) > $i)).
% 4.80/1.05 thf(func_def_354, type, sK107: ($i > $o)).
% 4.80/1.05 thf(func_def_362, type, sK115: ($i > ($i > $o) > $i)).
% 4.80/1.05 thf(func_def_363, type, sK116: ($i > $o)).
% 4.80/1.05 thf(func_def_366, type, sK119: ($i > $o)).
% 4.80/1.05 thf(func_def_369, type, sK122: ($i > ($i > $o) > $i)).
% 4.80/1.05 thf(func_def_374, type, sK127: ($i > $i > $i)).
% 4.80/1.05 thf(func_def_388, type, sK141: ($i > $i)).
% 4.80/1.05 thf(func_def_397, type, sK150: $o).
% 4.80/1.05 thf(func_def_408, type, sK161: ($i > $i)).
% 4.80/1.05 thf(func_def_419, type, sK172: ($i > $o)).
% 4.80/1.05 thf(func_def_420, type, sK173: ($i > $i)).
% 4.80/1.05 thf(func_def_421, type, sK174: (($i > $o) > $i)).
% 4.80/1.05 thf(func_def_425, type, sK178: $o).
% 4.80/1.05 thf(func_def_427, type, sK180: $o).
% 4.80/1.05 thf(func_def_440, type, sK193: ($i > $i > $o)).
% 4.80/1.05 thf(func_def_442, type, sK195: ($i > $i)).
% 4.80/1.05 thf(func_def_443, type, sK196: ($i > $i)).
% 4.80/1.05 thf(func_def_444, type, sK197: ($i > ($i > $i > $o) > $i)).
% 4.80/1.05 thf(func_def_445, type, sK198: ($i > ($i > $i > $o) > $i)).
% 4.80/1.05 thf(func_def_446, type, sK199: ($i > $i > ($i > $i > $o) > $i)).
% 4.80/1.05 thf(func_def_450, type, sK203: ($i > $i > $i)).
% 4.80/1.05 thf(func_def_454, type, sK207: ($i > $o)).
% 4.80/1.05 thf(func_def_457, type, sK210: ($i > ($i > $o) > $i)).
% 4.80/1.05 thf(func_def_463, type, sK216: ($i > $i > $i)).
% 4.80/1.05 thf(func_def_466, type, sK219: ($i > $o)).
% 4.80/1.05 thf(func_def_467, type, sK220: ($i > $i)).
% 4.80/1.05 thf(func_def_474, type, sK227: ($i > $i > $i)).
% 4.80/1.05 thf(func_def_475, type, sK228: ($i > $i > $i)).
% 4.80/1.05 thf(func_def_476, type, sK229: ($i > $i > $i)).
% 4.80/1.05 thf(func_def_477, type, sK230: ($i > $i > $i)).
% 4.80/1.05 thf(func_def_478, type, sK231: ($i > $i > $i)).
% 4.80/1.05 thf(func_def_479, type, sK232: ($i > $i > $i > $i)).
% 4.80/1.05 thf(func_def_480, type, sK233: ($i > $i)).
% 4.80/1.05 thf(func_def_481, type, sK234: ($i > $i)).
% 4.80/1.05 thf(func_def_482, type, sK235: ($i > $i)).
% 4.80/1.05 thf(func_def_483, type, sK236: ($i > $i)).
% 4.80/1.05 thf(func_def_484, type, sK237: ($i > $i > $i)).
% 4.80/1.05 thf(func_def_485, type, sK238: ($i > $i > $i > $i)).
% 4.80/1.05 thf(func_def_486, type, sK239: ($i > $i > $i > $i)).
% 4.80/1.05 thf(func_def_487, type, sK240: ($i > $i > $i)).
% 4.80/1.05 thf(func_def_488, type, sK241: ($i > $i > $i)).
% 4.80/1.05 thf(func_def_489, type, sK242: ($i > $i)).
% 4.80/1.05 thf(func_def_491, type, sK244: ($i > $i)).
% 4.80/1.05 thf(func_def_492, type, sK245: ($i > $i)).
% 4.80/1.05 thf(func_def_498, type, sK251: ($i > $o)).
% 4.80/1.05 thf(func_def_502, type, sK255: ($i > $i > $i)).
% 4.80/1.05 thf(func_def_511, type, sK264: ($i > $i > $o)).
% 4.80/1.05 thf(func_def_513, type, sK266: $o).
% 4.80/1.05 thf(func_def_530, type, sK283: ($i > $i > ($i > $i) > $i)).
% 4.80/1.05 thf(func_def_531, type, sK284: ($i > $i)).
% 4.80/1.05 thf(func_def_550, type, sK303: ($i > $o)).
% 4.80/1.05 thf(func_def_553, type, sK306: ($i > $i > $i)).
% 4.80/1.05 thf(func_def_556, type, sK309: ($i > $i > $i > $i)).
% 4.80/1.05 thf(func_def_557, type, sK310: ($i > $i > $i > $i)).
% 4.80/1.05 thf(func_def_565, type, sK318: ($i > $i > $i)).
% 4.80/1.05 thf(func_def_569, type, sK322: ($i > $o)).
% 4.80/1.05 thf(func_def_571, type, sK324: (($i > $o) > $i > $i > $i)).
% 4.80/1.05 thf(func_def_574, type, sK327: ($i > $o)).
% 4.80/1.05 thf(func_def_576, type, sK329: ($i > $i > $o)).
% 4.80/1.05 thf(func_def_580, type, sK333: ($i > $i > $i)).
% 4.80/1.05 thf(func_def_581, type, sK334: ($i > $i > $i)).
% 4.80/1.05 thf(func_def_594, type, sK347: ($i > $o)).
% 4.80/1.05 thf(func_def_601, type, sK354: $o).
% 4.80/1.05 thf(func_def_602, type, sK355: ($i > ($i > $o) > $i)).
% 4.80/1.05 thf(func_def_603, type, sK356: ($i > $o)).
% 4.80/1.05 thf(func_def_610, type, sK363: (($i > $o) > ($i > $o) > $i)).
% 4.80/1.05 thf(func_def_611, type, sK364: (($i > $o) > ($i > $o) > $i)).
% 4.80/1.05 thf(func_def_612, type, sK365: ($i > $o)).
% 4.80/1.05 thf(func_def_613, type, sK366: ($i > $o)).
% 4.80/1.05 thf(func_def_615, type, sK368: ($i > $i > $o)).
% 4.80/1.05 thf(func_def_626, type, sK379: (($i > $o) > $i > $i)).
% 4.80/1.05 thf(func_def_628, type, sK381: ($i > $o)).
% 4.80/1.05 thf(func_def_641, type, sK394: ($i > $o)).
% 4.80/1.05 thf(func_def_643, type, sK396: ($i > ($i > $o) > $i)).
% 4.80/1.05 thf(func_def_644, type, sK397: ($i > $o)).
% 4.80/1.05 thf(func_def_652, type, sK405: $o).
% 4.80/1.05 thf(func_def_653, type, sK406: ($o > $i > $i > $i)).
% 4.80/1.05 thf(func_def_654, type, sK407: ($i > $o)).
% 4.80/1.05 thf(func_def_655, type, sK408: ($i > $i)).
% 4.80/1.05 thf(func_def_656, type, sK409: (($i > $o) > $i)).
% 4.80/1.05 thf(func_def_684, type, sK437: (($i > $o) > $i)).
% 4.80/1.05 thf(func_def_685, type, sK438: ($i > $o)).
% 4.80/1.05 thf(func_def_687, type, sK440: ($i > $o)).
% 4.80/1.05 thf(func_def_704, type, sK457: ($i > $i > $o)).
% 4.80/1.05 thf(func_def_713, type, sK466: (($i > $i) > $i > $i > $i)).
% 4.80/1.05 thf(func_def_716, type, sK469: ($i > $i)).
% 4.80/1.05 thf(func_def_717, type, sK470: ($i > ($i > $o) > $i)).
% 4.80/1.05 thf(func_def_718, type, sK471: ($i > $o)).
% 4.80/1.05 thf(func_def_727, type, sK480: ($i > $o)).
% 4.80/1.05 thf(func_def_729, type, sK482: (($i > $o) > $i > $i)).
% 4.80/1.05 thf(func_def_730, type, sK483: (($i > $o) > $i > $i)).
% 4.80/1.05 thf(func_def_731, type, sK484: ($i > $i)).
% 4.80/1.05 thf(func_def_734, type, sK487: (($i > $o) > ($i > $o) > $i > $i > $i)).
% 4.80/1.05 thf(func_def_735, type, sK488: (($i > $o) > ($i > $o) > $i > $i > $i)).
% 4.80/1.05 thf(func_def_738, type, sK491: ($i > $o)).
% 4.80/1.05 thf(func_def_739, type, sK492: ($i > $o)).
% 4.80/1.05 thf(func_def_744, type, sK497: ($i > $o)).
% 4.80/1.05 thf(func_def_747, type, sK500: ($i > $i)).
% 4.80/1.05 thf(func_def_749, type, sK502: ($i > $i)).
% 4.80/1.05 thf(func_def_756, type, sK509: ($i > $i > $o)).
% 4.80/1.05 thf(func_def_760, type, sK513: ($i > $i)).
% 4.80/1.05 thf(func_def_763, type, sK516: $o).
% 4.80/1.05 thf(func_def_765, type, sK518: ($i > $i > $i)).
% 4.80/1.05 thf(func_def_778, type, sK531: $o).
% 4.80/1.05 thf(func_def_792, type, sK545: ($i > $o)).
% 4.80/1.05 thf(func_def_794, type, sK547: ($i > ($i > $o) > $i)).
% 4.80/1.05 thf(func_def_805, type, sK558: ($i > $i > $o)).
% 4.80/1.05 thf(f201,axiom,(
% 4.80/1.05 (! [X1 : $i,X0 : $i,X2 : $i] : ((func @ X0 @ X1 @ X2) => (in @ X2 @ (funcSet @ X0 @ X1))) = funcinfuncset)),
% 4.80/1.05 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',funcinfuncset)).
% 4.80/1.05 thf(f204,axiom,(
% 4.80/1.05 (! [X1 : $i,X0 : $i,X2 : ($i > $i)] : (! [X3 : $i] : ((in @ X3 @ X0) => (in @ (X2 @ X3) @ X1)) => (func @ X0 @ X1 @ (lam @ X0 @ X1 @ (^[X3 : $i] : ((X2 @ X3)))))) = lamp)),
% 4.80/1.05 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lamp)).
% 4.80/1.05 thf(f205,conjecture,(
% 4.80/1.05 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 => ! [X0 : $i,X1 : $i,X2 : ($i > $i)] : (! [X3 : $i] : ((in @ X3 @ X0) => (in @ (X2 @ X3) @ X1)) => (in @ (lam @ X0 @ X1 @ (^[X3 : $i] : ((X2 @ X3)))) @ (funcSet @ X0 @ X1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 4.80/1.05 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lam2p)).
% 4.80/1.05 thf(f206,negated_conjecture,(
% 4.80/1.05 ~(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 => ! [X0 : $i,X1 : $i,X2 : ($i > $i)] : (! [X3 : $i] : ((in @ X3 @ X0) => (in @ (X2 @ X3) @ X1)) => (in @ (lam @ X0 @ X1 @ (^[X3 : $i] : ((X2 @ X3)))) @ (funcSet @ X0 @ X1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 4.80/1.05 inference(negated_conjecture,[status(cth)],[f205])).
% 4.80/1.05 thf(f302,plain,(
% 4.80/1.05 ~(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 => ! [X0 : $i,X1 : $i,X2 : ($i > $i)] : (! [X3 : $i] : ((in @ X3 @ X0) => (in @ (X2 @ X3) @ X1)) => (in @ (lam @ X0 @ X1 @ (^[X4 : $i] : ((X2 @ X4)))) @ (funcSet @ X0 @ X1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 4.80/1.05 inference(rectify,[],[f206])).
% 4.80/1.05 thf(f303,plain,(
% 4.80/1.05 ~((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) => ! [X1 : $i,X0 : $i,X2 : ($i > $i)] : (! [X3 : $i] : ((((in @ X3 @ X0)) = $true) => (((in @ (X2 @ X3) @ X1)) = $true)) => (((in @ (lam @ X0 @ X1 @ (^[Y0 : $i]: (X2 @ Y0))) @ (funcSet @ X0 @ X1))) = $true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 4.80/1.05 inference(fool_elimination,[],[f302])).
% 4.80/1.05 thf(f425,plain,(
% 4.80/1.05 (! [X0 : $i,X1 : $i,X2 : $i] : ((func @ X1 @ X0 @ X2) => (in @ X2 @ (funcSet @ X1 @ X0))) = funcinfuncset)),
% 4.80/1.05 inference(rectify,[],[f201])).
% 4.80/1.05 thf(f426,plain,(
% 4.80/1.05 (funcinfuncset = $true) <=> ! [X0 : $i,X2 : $i,X1 : $i] : (($true = ((func @ X1 @ X0 @ X2))) => (((in @ X2 @ (funcSet @ X1 @ X0))) = $true))),
% 4.80/1.05 inference(fool_elimination,[],[f425])).
% 4.80/1.05 thf(f450,plain,(
% 4.80/1.05 (! [X0 : $i,X1 : $i,X2 : ($i > $i)] : (! [X3 : $i] : ((in @ X3 @ X1) => (in @ (X2 @ X3) @ X0)) => (func @ X1 @ X0 @ (lam @ X1 @ X0 @ (^[X4 : $i] : ((X2 @ X4)))))) = lamp)),
% 4.80/1.05 inference(rectify,[],[f204])).
% 4.80/1.05 thf(f451,plain,(
% 4.80/1.05 (lamp = $true) <=> ! [X0 : $i,X1 : $i,X2 : ($i > $i)] : (! [X3 : $i] : ((((in @ X3 @ X1)) = $true) => (((in @ (X2 @ X3) @ X0)) = $true)) => (((func @ X1 @ X0 @ (lam @ X1 @ X0 @ (^[Y0 : $i]: (X2 @ Y0))))) = $true))),
% 4.80/1.05 inference(fool_elimination,[],[f450])).
% 4.80/1.05 thf(f653,plain,(
% 4.80/1.05 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((? [X1 : $i,X2 : ($i > $i),X0 : $i] : ((((in @ (lam @ X0 @ X1 @ (^[Y0 : $i]: (X2 @ Y0))) @ (funcSet @ X0 @ X1))) != $true) & ! [X3 : $i] : ((((in @ X3 @ X0)) != $true) | (((in @ (X2 @ X3) @ X1)) = $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)),
% 4.80/1.05 inference(ennf_transformation,[],[f303])).
% 4.80/1.05 thf(f654,plain,(
% 4.80/1.05 (exuE3e = $true) & (setadjoinSub = $true) & (setminusLsub = $true) & (upairinpowunion = $true) & (dpsetconstrI = $true) & (setadjoinIR = $true) & (cartprodpairmemEL = $true) & (dsetconstr__Cong = $true) & (setadjoinE = $true) & (notdallE = $true) & (kpairsurjEq = $true) & (powersetI = $true) & (funcImageSingleton = $true) & (lamp = $true) & (emptyset__Cong = $true) & (subsetTrans = $true) & (binunionE = $true) & (symdiffIneg2 = $true) & (setadjoin__Cong = $true) & (theprop = $true) & (setadjoinIL = $true) & (omega__Cong = $true) & (singletonsubset = $true) & (binintersectSubset4 = $true) & (setminusERneg = $true) & (emptysetAx = $true) & (prop2set2propI = $true) & (setminusIRneg = $true) & (setukpairinjR2 = $true) & (setadjoinOr = $true) & (cartprodmempaircEq = $true) & (setukpairIL = $true) & (ex1E1 = $true) & (setunionsingleton = $true) & (quantDeMorgan1 = $true) & (binintersectSubset5 = $true) & (setadjoinSub2 = $true) & (notinsingleton = $true) & (setukpairIR = $true) & (eqimpsubset2 = $true) & (kfstsingleton = $true) & (emptysetimpfalse = $true) & (kpairp = $true) & (setbeta = $true) & (setminusILneg = $true) & (setukpairinjL = $true) & (symdiffE = $true) & (setunionsingleton1 = $true) & (singletonsswitch = $true) & (exuE1 = $true) & (binunionEcases = $true) & (foundationAx = $true) & (ksndpairEq = $true) & (exuI3 = $true) & (upairsetIL = $true) & (exuEu = $true) & (singletonprop = $true) & (omegaSAx = $true) & (setukpairinjL1 = $true) & (prop2setI = $true) & (binintersectER = $true) & (exu__Cong = $true) & (nonemptyImpWitness = $true) & (apProp = $true) & (omega0Ax = $true) & (setminusSubset1 = $true) & (dpsetconstrEL2 = $true) & (setminusSubset2 = $true) & (setukpairinjR12 = $true) & (powersetI1 = $true) & (dpsetconstrER = $true) & (dpsetconstrERa = $true) & (wellorderingAx = $true) & (setukpairinjL2 = $true) & (dsetconstrI = $true) & (subsetE = $true) & (cartprodfstin = $true) & (uniqinunit = $true) & (kpairiskpair = $true) & (quantDeMorgan2 = $true) & (singletoninpowunion = $true) & (subPowSU = $true) & (ex1I2 = $true) & (cartprodsndpairEq = $true) & (funcinfuncset = $true) & (emptyInPowerset = $true) & (ubforcartprodlem1 = $true) & (symdiffIneg1 = $true) & (setextsub = $true) & (dsetconstrEL = $true) & (binintersectSubset2 = $true) & (upairsetIR = $true) & (exuI2 = $true) & (symdiffI2 = $true) & (emptyI = $true) & (vacuousDall = $true) & (omegaIndAx = $true) & (dpsetconstrEL1 = $true) & (setminusER = $true) & (ubforcartprodlem2 = $true) & (emptyinunitempty = $true) & (upairsetE = $true) & (bs114d = $true) & (setunionE = $true) & (exuE3u = $true) & (subset2powerset = $true) & (singletonsuniq = $true) & (setukpairinjR = $true) & (symdiffI1 = $true) & (cartprodpairmemER = $true) & (binintersectEL = $true) & (notequalI1 = $true) & (binunionIL = $true) & (emptyE1 = $true) & (eqinunit = $true) & (dsetconstrER = $true) & (powersetE1 = $true) & (noeltsimpempty = $true) & ? [X1 : $i,X2 : ($i > $i),X0 : $i] : ((((in @ (lam @ X0 @ X1 @ (^[Y0 : $i]: (X2 @ Y0))) @ (funcSet @ X0 @ X1))) != $true) & ! [X3 : $i] : ((((in @ X3 @ X0)) != $true) | (((in @ (X2 @ X3) @ X1)) = $true))) & (setOfPairsIsBReln = $true) & (setminusI = $true) & (setunionAx = $true) & (binintersectLsub = $true) & (cartprodfstpairEq = $true) & (binunionRsub = $true) & (setminusEL = $true) & (kfstpairEq = $true) & (secondinupair = $true) & (binintersectSubset3 = $true) & (setunionE2 = $true) & (setunionsingleton2 = $true) & (descrp = $true) & (eqimpsubset1 = $true) & (setminusELneg = $true) & (lamProp = $true) & (setunion__Cong = $true) & (descr__Cong = $true) & (emptysetsubset = $true) & (powersetsubset = $true) & (ex1I = $true) & (in__Cong = $true) & (subsetE2 = $true) & (notsubsetI = $true) & (binunionLsub = $true) & (prop2setE = $true) & (sepInPowerset = $true) & (powersetAx = $true) & (app = $true) & (singletoninpowerset = $true) & (upairsubunion = $true) & (subsetI1 = $true) & (setextAx = $true) & (upairequniteq = $true) & (setukpairinjR1 = $true) & (cartprodpairin = $true) & (inPowerset = $true) & (infuncsetfunc = $true) & (binintersectI = $true) & (setukpairinjR11 = $true) & (inCongP = $true) & (setadjoinAx = $true) & (disjointsetsI1 = $true) & (notequalI2 = $true) & (binunionIR = $true) & (sepSubset = $true) & (upairset2IR = $true) & (exuE2 = $true) & (exuI1 = $true) & (emptyinPowerset = $true) & (nonemptyE1 = $true) & (notinemptyset = $true) & (powersetE = $true) & (nonemptyI1 = $true) & (quantDeMorgan4 = $true) & (nonemptyI = $true) & (setext = $true) & (ap2p = $true) & (cartprodmempair = $true) & (binintersectRsub = $true) & (cartprodmempair1 = $true) & (quantDeMorgan3 = $true) & (upairset2E = $true) & (cartprodsndin = $true) & (emptysetE = $true) & (replAx = $true) & (dpsetconstrSub = $true) & (notdexE = $true) & (cartprodpairsurjEq = $true) & (powerset__Cong = $true) & (setoftrueEq = $true) & (ksndsingleton = $true) & (subsetemptysetimpeq = $true) & (binintersectSubset1 = $true) & (setunionI = $true) & (ubforcartprodlem3 = $true) & (subsetI2 = $true) & (subsetRefl = $true)),
% 4.80/1.05 inference(flattening,[],[f653])).
% 4.80/1.05 thf(f663,plain,(
% 4.80/1.05 ! [X2 : ($i > $i),X0 : $i,X1 : $i] : (? [X3 : $i] : ((((in @ (X2 @ X3) @ X0)) != $true) & (((in @ X3 @ X1)) = $true)) | (((func @ X1 @ X0 @ (lam @ X1 @ X0 @ (^[Y0 : $i]: (X2 @ Y0))))) = $true)) <=> (lamp = $true)),
% 4.80/1.05 inference(ennf_transformation,[],[f451])).
% 4.80/1.05 thf(f677,plain,(
% 4.80/1.05 (funcinfuncset = $true) <=> ! [X1 : $i,X0 : $i,X2 : $i] : (($true != ((func @ X1 @ X0 @ X2))) | (((in @ X2 @ (funcSet @ X1 @ X0))) = $true))),
% 4.80/1.05 inference(ennf_transformation,[],[f426])).
% 4.80/1.05 thf(f957,plain,(
% 4.80/1.05 ((funcinfuncset = $true) | ? [X1 : $i,X0 : $i,X2 : $i] : (($true = ((func @ X1 @ X0 @ X2))) & (((in @ X2 @ (funcSet @ X1 @ X0))) != $true))) & (! [X1 : $i,X0 : $i,X2 : $i] : (($true != ((func @ X1 @ X0 @ X2))) | (((in @ X2 @ (funcSet @ X1 @ X0))) = $true)) | (funcinfuncset != $true))),
% 4.80/1.05 inference(nnf_transformation,[],[f677])).
% 4.80/1.05 thf(f958,plain,(
% 4.80/1.05 ((funcinfuncset = $true) | ? [X0 : $i,X1 : $i,X2 : $i] : ((((func @ X0 @ X1 @ X2)) = $true) & (((in @ X2 @ (funcSet @ X0 @ X1))) != $true))) & (! [X3 : $i,X4 : $i,X5 : $i] : (($true != ((func @ X3 @ X4 @ X5))) | (((in @ X5 @ (funcSet @ X3 @ X4))) = $true)) | (funcinfuncset != $true))),
% 4.80/1.05 inference(rectify,[],[f957])).
% 4.80/1.05 thf(f959,plain,(
% 4.80/1.05 ((funcinfuncset = $true) | ((((func @ sK98 @ sK99 @ sK100)) = $true) & (((in @ sK100 @ (funcSet @ sK98 @ sK99))) != $true))) & (! [X3 : $i,X4 : $i,X5 : $i] : (($true != ((func @ X3 @ X4 @ X5))) | (((in @ X5 @ (funcSet @ X3 @ X4))) = $true)) | (funcinfuncset != $true))),
% 4.80/1.05 inference(skolemize,[status(esa),new_symbols(skolem,[sK98,sK99,sK100]),skolemize(X0,sK98),skolemize(X1,sK99),skolemize(X2,sK100)],[f958])).
% 4.80/1.05 thf(f1023,plain,(
% 4.80/1.05 (exuE3e = $true) & (setadjoinSub = $true) & (setminusLsub = $true) & (upairinpowunion = $true) & (dpsetconstrI = $true) & (setadjoinIR = $true) & (cartprodpairmemEL = $true) & (dsetconstr__Cong = $true) & (setadjoinE = $true) & (notdallE = $true) & (kpairsurjEq = $true) & (powersetI = $true) & (funcImageSingleton = $true) & (lamp = $true) & (emptyset__Cong = $true) & (subsetTrans = $true) & (binunionE = $true) & (symdiffIneg2 = $true) & (setadjoin__Cong = $true) & (theprop = $true) & (setadjoinIL = $true) & (omega__Cong = $true) & (singletonsubset = $true) & (binintersectSubset4 = $true) & (setminusERneg = $true) & (emptysetAx = $true) & (prop2set2propI = $true) & (setminusIRneg = $true) & (setukpairinjR2 = $true) & (setadjoinOr = $true) & (cartprodmempaircEq = $true) & (setukpairIL = $true) & (ex1E1 = $true) & (setunionsingleton = $true) & (quantDeMorgan1 = $true) & (binintersectSubset5 = $true) & (setadjoinSub2 = $true) & (notinsingleton = $true) & (setukpairIR = $true) & (eqimpsubset2 = $true) & (kfstsingleton = $true) & (emptysetimpfalse = $true) & (kpairp = $true) & (setbeta = $true) & (setminusILneg = $true) & (setukpairinjL = $true) & (symdiffE = $true) & (setunionsingleton1 = $true) & (singletonsswitch = $true) & (exuE1 = $true) & (binunionEcases = $true) & (foundationAx = $true) & (ksndpairEq = $true) & (exuI3 = $true) & (upairsetIL = $true) & (exuEu = $true) & (singletonprop = $true) & (omegaSAx = $true) & (setukpairinjL1 = $true) & (prop2setI = $true) & (binintersectER = $true) & (exu__Cong = $true) & (nonemptyImpWitness = $true) & (apProp = $true) & (omega0Ax = $true) & (setminusSubset1 = $true) & (dpsetconstrEL2 = $true) & (setminusSubset2 = $true) & (setukpairinjR12 = $true) & (powersetI1 = $true) & (dpsetconstrER = $true) & (dpsetconstrERa = $true) & (wellorderingAx = $true) & (setukpairinjL2 = $true) & (dsetconstrI = $true) & (subsetE = $true) & (cartprodfstin = $true) & (uniqinunit = $true) & (kpairiskpair = $true) & (quantDeMorgan2 = $true) & (singletoninpowunion = $true) & (subPowSU = $true) & (ex1I2 = $true) & (cartprodsndpairEq = $true) & (funcinfuncset = $true) & (emptyInPowerset = $true) & (ubforcartprodlem1 = $true) & (symdiffIneg1 = $true) & (setextsub = $true) & (dsetconstrEL = $true) & (binintersectSubset2 = $true) & (upairsetIR = $true) & (exuI2 = $true) & (symdiffI2 = $true) & (emptyI = $true) & (vacuousDall = $true) & (omegaIndAx = $true) & (dpsetconstrEL1 = $true) & (setminusER = $true) & (ubforcartprodlem2 = $true) & (emptyinunitempty = $true) & (upairsetE = $true) & (bs114d = $true) & (setunionE = $true) & (exuE3u = $true) & (subset2powerset = $true) & (singletonsuniq = $true) & (setukpairinjR = $true) & (symdiffI1 = $true) & (cartprodpairmemER = $true) & (binintersectEL = $true) & (notequalI1 = $true) & (binunionIL = $true) & (emptyE1 = $true) & (eqinunit = $true) & (dsetconstrER = $true) & (powersetE1 = $true) & (noeltsimpempty = $true) & ? [X0 : $i,X1 : ($i > $i),X2 : $i] : ((((in @ (lam @ X2 @ X0 @ (^[Y0 : $i]: (X1 @ Y0))) @ (funcSet @ X2 @ X0))) != $true) & ! [X3 : $i] : ((((in @ X3 @ X2)) != $true) | (((in @ (X1 @ X3) @ X0)) = $true))) & (setOfPairsIsBReln = $true) & (setminusI = $true) & (setunionAx = $true) & (binintersectLsub = $true) & (cartprodfstpairEq = $true) & (binunionRsub = $true) & (setminusEL = $true) & (kfstpairEq = $true) & (secondinupair = $true) & (binintersectSubset3 = $true) & (setunionE2 = $true) & (setunionsingleton2 = $true) & (descrp = $true) & (eqimpsubset1 = $true) & (setminusELneg = $true) & (lamProp = $true) & (setunion__Cong = $true) & (descr__Cong = $true) & (emptysetsubset = $true) & (powersetsubset = $true) & (ex1I = $true) & (in__Cong = $true) & (subsetE2 = $true) & (notsubsetI = $true) & (binunionLsub = $true) & (prop2setE = $true) & (sepInPowerset = $true) & (powersetAx = $true) & (app = $true) & (singletoninpowerset = $true) & (upairsubunion = $true) & (subsetI1 = $true) & (setextAx = $true) & (upairequniteq = $true) & (setukpairinjR1 = $true) & (cartprodpairin = $true) & (inPowerset = $true) & (infuncsetfunc = $true) & (binintersectI = $true) & (setukpairinjR11 = $true) & (inCongP = $true) & (setadjoinAx = $true) & (disjointsetsI1 = $true) & (notequalI2 = $true) & (binunionIR = $true) & (sepSubset = $true) & (upairset2IR = $true) & (exuE2 = $true) & (exuI1 = $true) & (emptyinPowerset = $true) & (nonemptyE1 = $true) & (notinemptyset = $true) & (powersetE = $true) & (nonemptyI1 = $true) & (quantDeMorgan4 = $true) & (nonemptyI = $true) & (setext = $true) & (ap2p = $true) & (cartprodmempair = $true) & (binintersectRsub = $true) & (cartprodmempair1 = $true) & (quantDeMorgan3 = $true) & (upairset2E = $true) & (cartprodsndin = $true) & (emptysetE = $true) & (replAx = $true) & (dpsetconstrSub = $true) & (notdexE = $true) & (cartprodpairsurjEq = $true) & (powerset__Cong = $true) & (setoftrueEq = $true) & (ksndsingleton = $true) & (subsetemptysetimpeq = $true) & (binintersectSubset1 = $true) & (setunionI = $true) & (ubforcartprodlem3 = $true) & (subsetI2 = $true) & (subsetRefl = $true)),
% 4.80/1.05 inference(rectify,[],[f654])).
% 4.80/1.05 thf(f1024,plain,(
% 4.80/1.05 (exuE3e = $true) & (setadjoinSub = $true) & (setminusLsub = $true) & (upairinpowunion = $true) & (dpsetconstrI = $true) & (setadjoinIR = $true) & (cartprodpairmemEL = $true) & (dsetconstr__Cong = $true) & (setadjoinE = $true) & (notdallE = $true) & (kpairsurjEq = $true) & (powersetI = $true) & (funcImageSingleton = $true) & (lamp = $true) & (emptyset__Cong = $true) & (subsetTrans = $true) & (binunionE = $true) & (symdiffIneg2 = $true) & (setadjoin__Cong = $true) & (theprop = $true) & (setadjoinIL = $true) & (omega__Cong = $true) & (singletonsubset = $true) & (binintersectSubset4 = $true) & (setminusERneg = $true) & (emptysetAx = $true) & (prop2set2propI = $true) & (setminusIRneg = $true) & (setukpairinjR2 = $true) & (setadjoinOr = $true) & (cartprodmempaircEq = $true) & (setukpairIL = $true) & (ex1E1 = $true) & (setunionsingleton = $true) & (quantDeMorgan1 = $true) & (binintersectSubset5 = $true) & (setadjoinSub2 = $true) & (notinsingleton = $true) & (setukpairIR = $true) & (eqimpsubset2 = $true) & (kfstsingleton = $true) & (emptysetimpfalse = $true) & (kpairp = $true) & (setbeta = $true) & (setminusILneg = $true) & (setukpairinjL = $true) & (symdiffE = $true) & (setunionsingleton1 = $true) & (singletonsswitch = $true) & (exuE1 = $true) & (binunionEcases = $true) & (foundationAx = $true) & (ksndpairEq = $true) & (exuI3 = $true) & (upairsetIL = $true) & (exuEu = $true) & (singletonprop = $true) & (omegaSAx = $true) & (setukpairinjL1 = $true) & (prop2setI = $true) & (binintersectER = $true) & (exu__Cong = $true) & (nonemptyImpWitness = $true) & (apProp = $true) & (omega0Ax = $true) & (setminusSubset1 = $true) & (dpsetconstrEL2 = $true) & (setminusSubset2 = $true) & (setukpairinjR12 = $true) & (powersetI1 = $true) & (dpsetconstrER = $true) & (dpsetconstrERa = $true) & (wellorderingAx = $true) & (setukpairinjL2 = $true) & (dsetconstrI = $true) & (subsetE = $true) & (cartprodfstin = $true) & (uniqinunit = $true) & (kpairiskpair = $true) & (quantDeMorgan2 = $true) & (singletoninpowunion = $true) & (subPowSU = $true) & (ex1I2 = $true) & (cartprodsndpairEq = $true) & (funcinfuncset = $true) & (emptyInPowerset = $true) & (ubforcartprodlem1 = $true) & (symdiffIneg1 = $true) & (setextsub = $true) & (dsetconstrEL = $true) & (binintersectSubset2 = $true) & (upairsetIR = $true) & (exuI2 = $true) & (symdiffI2 = $true) & (emptyI = $true) & (vacuousDall = $true) & (omegaIndAx = $true) & (dpsetconstrEL1 = $true) & (setminusER = $true) & (ubforcartprodlem2 = $true) & (emptyinunitempty = $true) & (upairsetE = $true) & (bs114d = $true) & (setunionE = $true) & (exuE3u = $true) & (subset2powerset = $true) & (singletonsuniq = $true) & (setukpairinjR = $true) & (symdiffI1 = $true) & (cartprodpairmemER = $true) & (binintersectEL = $true) & (notequalI1 = $true) & (binunionIL = $true) & (emptyE1 = $true) & (eqinunit = $true) & (dsetconstrER = $true) & (powersetE1 = $true) & (noeltsimpempty = $true) & (($true != ((in @ (lam @ sK162 @ sK160 @ (^[Y0 : $i]: (sK161 @ Y0))) @ (funcSet @ sK162 @ sK160)))) & ! [X3 : $i] : (($true != ((in @ X3 @ sK162))) | (((in @ (sK161 @ X3) @ sK160)) = $true))) & (setOfPairsIsBReln = $true) & (setminusI = $true) & (setunionAx = $true) & (binintersectLsub = $true) & (cartprodfstpairEq = $true) & (binunionRsub = $true) & (setminusEL = $true) & (kfstpairEq = $true) & (secondinupair = $true) & (binintersectSubset3 = $true) & (setunionE2 = $true) & (setunionsingleton2 = $true) & (descrp = $true) & (eqimpsubset1 = $true) & (setminusELneg = $true) & (lamProp = $true) & (setunion__Cong = $true) & (descr__Cong = $true) & (emptysetsubset = $true) & (powersetsubset = $true) & (ex1I = $true) & (in__Cong = $true) & (subsetE2 = $true) & (notsubsetI = $true) & (binunionLsub = $true) & (prop2setE = $true) & (sepInPowerset = $true) & (powersetAx = $true) & (app = $true) & (singletoninpowerset = $true) & (upairsubunion = $true) & (subsetI1 = $true) & (setextAx = $true) & (upairequniteq = $true) & (setukpairinjR1 = $true) & (cartprodpairin = $true) & (inPowerset = $true) & (infuncsetfunc = $true) & (binintersectI = $true) & (setukpairinjR11 = $true) & (inCongP = $true) & (setadjoinAx = $true) & (disjointsetsI1 = $true) & (notequalI2 = $true) & (binunionIR = $true) & (sepSubset = $true) & (upairset2IR = $true) & (exuE2 = $true) & (exuI1 = $true) & (emptyinPowerset = $true) & (nonemptyE1 = $true) & (notinemptyset = $true) & (powersetE = $true) & (nonemptyI1 = $true) & (quantDeMorgan4 = $true) & (nonemptyI = $true) & (setext = $true) & (ap2p = $true) & (cartprodmempair = $true) & (binintersectRsub = $true) & (cartprodmempair1 = $true) & (quantDeMorgan3 = $true) & (upairset2E = $true) & (cartprodsndin = $true) & (emptysetE = $true) & (replAx = $true) & (dpsetconstrSub = $true) & (notdexE = $true) & (cartprodpairsurjEq = $true) & (powerset__Cong = $true) & (setoftrueEq = $true) & (ksndsingleton = $true) & (subsetemptysetimpeq = $true) & (binintersectSubset1 = $true) & (setunionI = $true) & (ubforcartprodlem3 = $true) & (subsetI2 = $true) & (subsetRefl = $true)),
% 4.80/1.05 inference(skolemize,[status(esa),new_symbols(skolem,[sK160,sK161,sK162]),skolemize(X0,sK160),skolemize(X1,sK161),skolemize(X2,sK162)],[f1023])).
% 4.80/1.05 thf(f1151,plain,(
% 4.80/1.05 (! [X2 : ($i > $i),X0 : $i,X1 : $i] : (? [X3 : $i] : ((((in @ (X2 @ X3) @ X0)) != $true) & (((in @ X3 @ X1)) = $true)) | (((func @ X1 @ X0 @ (lam @ X1 @ X0 @ (^[Y0 : $i]: (X2 @ Y0))))) = $true)) | (lamp != $true)) & ((lamp = $true) | ? [X2 : ($i > $i),X0 : $i,X1 : $i] : (! [X3 : $i] : ((((in @ (X2 @ X3) @ X0)) = $true) | (((in @ X3 @ X1)) != $true)) & (((func @ X1 @ X0 @ (lam @ X1 @ X0 @ (^[Y0 : $i]: (X2 @ Y0))))) != $true)))),
% 4.80/1.05 inference(nnf_transformation,[],[f663])).
% 4.80/1.05 thf(f1152,plain,(
% 4.80/1.05 (! [X0 : ($i > $i),X1 : $i,X2 : $i] : (? [X3 : $i] : ((((in @ (X0 @ X3) @ X1)) != $true) & (((in @ X3 @ X2)) = $true)) | ($true = ((func @ X2 @ X1 @ (lam @ X2 @ X1 @ (^[Y0 : $i]: (X0 @ Y0))))))) | (lamp != $true)) & ((lamp = $true) | ? [X4 : ($i > $i),X5 : $i,X6 : $i] : (! [X7 : $i] : ((((in @ (X4 @ X7) @ X5)) = $true) | (((in @ X7 @ X6)) != $true)) & (((func @ X6 @ X5 @ (lam @ X6 @ X5 @ (^[Y0 : $i]: (X4 @ Y0))))) != $true)))),
% 4.80/1.05 inference(rectify,[],[f1151])).
% 4.80/1.05 thf(f1153,plain,(
% 4.80/1.05 (! [X0 : ($i > $i),X1 : $i,X2 : $i] : (((((in @ (X0 @ (sK283 @ X2 @ X1 @ X0)) @ X1)) != $true) & (((in @ (sK283 @ X2 @ X1 @ X0) @ X2)) = $true)) | ($true = ((func @ X2 @ X1 @ (lam @ X2 @ X1 @ (^[Y0 : $i]: (X0 @ Y0))))))) | (lamp != $true)) & ((lamp = $true) | (! [X7 : $i] : ((((in @ (sK284 @ X7) @ sK285)) = $true) | (((in @ X7 @ sK286)) != $true)) & (((func @ sK286 @ sK285 @ (lam @ sK286 @ sK285 @ (^[Y0 : $i]: (sK284 @ Y0))))) != $true)))),
% 4.80/1.05 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP,sK284,sK285,sK286]),skolemize(X3,sK17 @ X0),skolemize(X4,sK284),skolemize(X5,sK285),skolemize(X6,sK286)],[f1152])).
% 4.80/1.05 thf(f1573,plain,(
% 4.80/1.05 ( ! [X3 : $i,X4 : $i,X5 : $i] : ((((in @ X5 @ (funcSet @ X3 @ X4))) = $true) | ($true != ((func @ X3 @ X4 @ X5))) | (funcinfuncset != $true)) )),
% 4.80/1.05 inference(cnf_transformation,[],[f959])).
% 4.80/1.05 thf(f1729,plain,(
% 4.80/1.05 ( ! [X3 : $i] : ((((in @ (sK161 @ X3) @ sK160)) = $true) | ($true != ((in @ X3 @ sK162)))) )),
% 4.80/1.05 inference(cnf_transformation,[],[f1024])).
% 4.80/1.05 thf(f1730,plain,(
% 4.80/1.05 ($true != ((in @ (lam @ sK162 @ sK160 @ (^[Y0 : $i]: (sK161 @ Y0))) @ (funcSet @ sK162 @ sK160))))),
% 4.80/1.05 inference(cnf_transformation,[],[f1024])).
% 4.80/1.05 thf(f1764,plain,(
% 4.80/1.05 (funcinfuncset = $true)),
% 4.80/1.05 inference(cnf_transformation,[],[f1024])).
% 4.80/1.05 thf(f1835,plain,(
% 4.80/1.05 (lamp = $true)),
% 4.80/1.05 inference(cnf_transformation,[],[f1024])).
% 4.80/1.05 thf(f2028,plain,(
% 4.80/1.05 ( ! [X2 : $i,X0 : ($i > $i),X1 : $i] : ((((in @ (sK283 @ X2 @ X1 @ X0) @ X2)) = $true) | ($true = ((func @ X2 @ X1 @ (lam @ X2 @ X1 @ (^[Y0 : $i]: (X0 @ Y0)))))) | (lamp != $true)) )),
% 4.80/1.05 inference(cnf_transformation,[],[f1153])).
% 4.80/1.05 thf(f2029,plain,(
% 4.80/1.05 ( ! [X2 : $i,X0 : ($i > $i),X1 : $i] : ((((in @ (X0 @ (sK283 @ X2 @ X1 @ X0)) @ X1)) != $true) | (lamp != $true) | ($true = ((func @ X2 @ X1 @ (lam @ X2 @ X1 @ (^[Y0 : $i]: (X0 @ Y0))))))) )),
% 4.80/1.05 inference(cnf_transformation,[],[f1153])).
% 4.80/1.05 thf(f2457,plain,(
% 4.80/1.05 ( ! [X2 : $i,X0 : ($i > $i),X1 : $i] : ((((func @ X2 @ X1 @ (lam @ X2 @ X1 @ X0))) = $true) | (((in @ (sK283 @ X2 @ X1 @ X0) @ X2)) = $true) | (lamp != $true)) )),
% 4.80/1.05 inference(beta-eta_normalization,[],[f2028])).
% 4.80/1.05 thf(f2521,plain,(
% 4.80/1.05 ( ! [X2 : $i,X0 : ($i > $i),X1 : $i] : ((((func @ X2 @ X1 @ (lam @ X2 @ X1 @ X0))) = $true) | (lamp != $true) | (((in @ (X0 @ (sK283 @ X2 @ X1 @ X0)) @ X1)) != $true)) )),
% 4.80/1.05 inference(beta-eta_normalization,[],[f2029])).
% 4.80/1.05 thf(f2542,plain,(
% 4.80/1.05 (((in @ (lam @ sK162 @ sK160 @ sK161) @ (funcSet @ sK162 @ sK160))) != $true)),
% 4.80/1.05 inference(beta-eta_normalization,[],[f1730])).
% 4.80/1.05 thf(f2736,plain,(
% 4.80/1.05 ($true != ((func @ sK162 @ sK160 @ (lam @ sK162 @ sK160 @ sK161)))) | (funcinfuncset != $true) | ($true != $true)),
% 4.80/1.05 inference(constrained_superposition,[],[f2542,f1573])).
% 4.80/1.05 thf(f2747,plain,(
% 4.80/1.05 ($true != ((func @ sK162 @ sK160 @ (lam @ sK162 @ sK160 @ sK161)))) | (funcinfuncset != $true)),
% 4.80/1.05 inference(trivial_inequality_removal,[],[f2736])).
% 4.80/1.05 thf(f2753,plain,(
% 4.80/1.05 ($true != ((func @ sK162 @ sK160 @ (lam @ sK162 @ sK160 @ sK161))))),
% 4.80/1.05 inference(forward_subsumption_resolution,[],[f2747,f1764])).
% 4.80/1.05 thf(f3029,plain,(
% 4.80/1.05 ($true != $true) | (lamp != $true) | ($true != ((in @ (sK161 @ (sK283 @ sK162 @ sK160 @ sK161)) @ sK160)))),
% 4.80/1.05 inference(constrained_superposition,[],[f2753,f2521])).
% 4.80/1.05 thf(f3030,plain,(
% 4.80/1.05 ($true != $true) | (lamp != $true) | (((in @ (sK283 @ sK162 @ sK160 @ sK161) @ sK162)) = $true)),
% 4.80/1.05 inference(constrained_superposition,[],[f2753,f2457])).
% 4.80/1.05 thf(f3033,plain,(
% 4.80/1.05 (lamp != $true) | ($true != ((in @ (sK161 @ (sK283 @ sK162 @ sK160 @ sK161)) @ sK160)))),
% 4.80/1.05 inference(trivial_inequality_removal,[],[f3029])).
% 4.80/1.05 thf(f3034,plain,(
% 4.80/1.05 (lamp != $true) | (((in @ (sK283 @ sK162 @ sK160 @ sK161) @ sK162)) = $true)),
% 4.80/1.05 inference(trivial_inequality_removal,[],[f3030])).
% 4.80/1.05 thf(f3035,plain,(
% 4.80/1.05 ($true != ((in @ (sK161 @ (sK283 @ sK162 @ sK160 @ sK161)) @ sK160)))),
% 4.80/1.05 inference(forward_subsumption_resolution,[],[f3033,f1835])).
% 4.80/1.05 thf(f3036,plain,(
% 4.80/1.05 (((in @ (sK283 @ sK162 @ sK160 @ sK161) @ sK162)) = $true)),
% 4.80/1.05 inference(forward_subsumption_resolution,[],[f3034,f1835])).
% 4.80/1.05 thf(f4057,plain,(
% 4.80/1.05 ($true != $true) | (((in @ (sK283 @ sK162 @ sK160 @ sK161) @ sK162)) != $true)),
% 4.80/1.05 inference(constrained_superposition,[],[f3035,f1729])).
% 4.80/1.05 thf(f4064,plain,(
% 4.80/1.05 (((in @ (sK283 @ sK162 @ sK160 @ sK161) @ sK162)) != $true)),
% 4.80/1.05 inference(trivial_inequality_removal,[],[f4057])).
% 4.80/1.05 thf(f4069,plain,(
% 4.80/1.05 $false),
% 4.80/1.05 inference(forward_subsumption_resolution,[],[f4064,f3036])).
% 4.80/1.05 % SZS output end Proof for theBenchmark
% 4.80/1.05 % (774357)------------------------------
% 4.80/1.05 % (774357)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.80/1.05 % (774357)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.80/1.05 % (774357)CaDiCaL version: 2.1.3
% 4.80/1.05 % (774357)Termination reason: Refutation
% 4.80/1.05 % (774357)Time elapsed: 0.295 s
% 4.80/1.05 % (774357)Peak memory usage: 16 MB
% 4.80/1.05 % (774357)Instructions burned: 338 (million)
% 4.80/1.05 % (774265)Success in time 0.739 s
% 4.80/1.05 % Vampire exiting
%------------------------------------------------------------------------------