%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU617^1 : TPTP v9.3.1. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/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 08:30:21 AM UTC 2026
% Result : Theorem 1.74s 0.61s
% Output : Refutation 1.74s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU617^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 % Computer : n006.cluster.edu
% 0.08/0.22 % Model : x86_64 x86_64
% 0.08/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.22 % Memory : 8046.5625MB
% 0.08/0.22 % OS : Linux 6.8.0-71-generic
% 0.08/0.22 % CPULimit : 300
% 0.08/0.23 % WCLimit : 300
% 0.08/0.23 % DateTime : Tue Sep 29 13:58:09 UTC 2026
% 0.08/0.23 % CPUTime :
% 0.08/0.23 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.26/0.29 Running higher-order theorem proving
% 0.26/0.32 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.11/0.52 % (757451)Detected a higher-order problem, will run a greedy HOL sequence.
% 1.11/0.52 % (757461)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=146016183:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 1.11/0.52 % (757462)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 1.11/0.52 % (757462)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 1.11/0.52 % (757457)lrs+10_16_si=on:nwc=1.5:random_seed=144422883:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 1.11/0.52 % (757456)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3295221868:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 1.11/0.52 % (757458)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1137553000:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 1.11/0.52 % (757462)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=2799022514:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 1.11/0.52 % (757460)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3760527630:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 1.11/0.52 % (757459)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=4113529558: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)
% 1.11/0.52 % (757458)Instruction limit reached!
% 1.11/0.52 % (757458)------------------------------
% 1.11/0.52 % (757458)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.11/0.52 % (757458)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.11/0.52 % (757458)CaDiCaL version: 2.1.3
% 1.11/0.52 % (757458)Termination reason: Instruction limit
% 1.11/0.52 % (757458)Termination phase: shuffling
% 1.11/0.52 % (757458)Time elapsed: 0.003 s
% 1.11/0.52 % (757458)Peak memory usage: 10 MB
% 1.11/0.52 % (757458)Instructions burned: 3 (million)
% 1.11/0.52 % (757457)Instruction limit reached!
% 1.11/0.52 % (757457)------------------------------
% 1.11/0.52 % (757457)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.11/0.52 % (757457)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.11/0.52 % (757457)CaDiCaL version: 2.1.3
% 1.11/0.52 % (757457)Termination reason: Instruction limit
% 1.11/0.52 % (757457)Termination phase: Property scanning
% 1.11/0.52 % (757457)Time elapsed: 0.016 s
% 1.11/0.52 % (757457)Peak memory usage: 10 MB
% 1.11/0.52 % (757457)Instructions burned: 19 (million)
% 1.11/0.52 % (757461)Instruction limit reached!
% 1.11/0.52 % (757461)------------------------------
% 1.11/0.52 % (757461)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.11/0.52 % (757461)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.11/0.52 % (757461)CaDiCaL version: 2.1.3
% 1.11/0.52 % (757461)Termination reason: Instruction limit
% 1.11/0.52 % (757461)Termination phase: Saturation
% 1.11/0.52 % (757461)Time elapsed: 0.033 s
% 1.11/0.52 % (757461)Peak memory usage: 12 MB
% 1.11/0.52 % (757461)Instructions burned: 76 (million)
% 1.11/0.52 % (757460)Instruction limit reached!
% 1.11/0.52 % (757460)------------------------------
% 1.11/0.52 % (757460)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.11/0.52 % (757460)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.11/0.52 % (757460)CaDiCaL version: 2.1.3
% 1.11/0.52 % (757460)Termination reason: Instruction limit
% 1.11/0.52 % (757460)Termination phase: Preprocessing 3
% 1.11/0.52 % (757460)Time elapsed: 0.021 s
% 1.11/0.52 % (757460)Peak memory usage: 11 MB
% 1.11/0.52 % (757460)Instructions burned: 24 (million)
% 1.11/0.52 % (757470)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=302676464:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 1.11/0.52 % (757470)Instruction limit reached!
% 1.11/0.52 % (757470)------------------------------
% 1.11/0.52 % (757470)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.74/0.58 % (757470)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.74/0.58 % (757470)CaDiCaL version: 2.1.3
% 1.74/0.58 % (757470)Termination reason: Instruction limit
% 1.74/0.58 % (757470)Termination phase: shuffling
% 1.74/0.58 % (757470)Time elapsed: 0.002 s
% 1.74/0.58 % (757470)Peak memory usage: 10 MB
% 1.74/0.58 % (757470)Instructions burned: 3 (million)
% 1.74/0.58 % (757472)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.74/0.58 % (757472)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=757071055:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 1.74/0.58 % (757472)Instruction limit reached!
% 1.74/0.58 % (757472)------------------------------
% 1.74/0.58 % (757472)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.74/0.58 % (757472)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.74/0.58 % (757472)CaDiCaL version: 2.1.3
% 1.74/0.58 % (757472)Termination reason: Instruction limit
% 1.74/0.58 % (757472)Termination phase: shuffling
% 1.74/0.58 % (757472)Time elapsed: 0.004 s
% 1.74/0.58 % (757472)Peak memory usage: 10 MB
% 1.74/0.58 % (757472)Instructions burned: 9 (million)
% 1.74/0.58 % (757475)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 1.74/0.58 % (757475)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.74/0.58 % (757471)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1903992139:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 1.74/0.58 % (757475)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2755710483:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 1.74/0.58 % (757471)Instruction limit reached!
% 1.74/0.58 % (757471)------------------------------
% 1.74/0.58 % (757471)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.74/0.58 % (757471)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.74/0.58 % (757471)CaDiCaL version: 2.1.3
% 1.74/0.58 % (757471)Termination reason: Instruction limit
% 1.74/0.58 % (757471)Termination phase: shuffling
% 1.74/0.58 % (757471)Time elapsed: 0.004 s
% 1.74/0.58 % (757471)Peak memory usage: 10 MB
% 1.74/0.58 % (757471)Instructions burned: 5 (million)
% 1.74/0.58 % (757473)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=349301922:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 1.74/0.58 % (757473)Instruction limit reached!
% 1.74/0.58 % (757473)------------------------------
% 1.74/0.58 % (757473)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.74/0.58 % (757473)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.74/0.58 % (757473)CaDiCaL version: 2.1.3
% 1.74/0.58 % (757473)Termination reason: Instruction limit
% 1.74/0.58 % (757473)Termination phase: shuffling
% 1.74/0.58 % (757473)Time elapsed: 0.010 s
% 1.74/0.58 % (757473)Peak memory usage: 10 MB
% 1.74/0.58 % (757473)Instructions burned: 12 (million)
% 1.74/0.58 % (757475)Instruction limit reached!
% 1.74/0.58 % (757475)------------------------------
% 1.74/0.58 % (757475)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.74/0.58 % (757475)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.74/0.58 % (757475)CaDiCaL version: 2.1.3
% 1.74/0.58 % (757475)Termination reason: Instruction limit
% 1.74/0.58 % (757475)Termination phase: Preprocessing 2
% 1.74/0.58 % (757475)Time elapsed: 0.014 s
% 1.74/0.58 % (757475)Peak memory usage: 10 MB
% 1.74/0.58 % (757475)Instructions burned: 29 (million)
% 1.74/0.58 % (757480)lrs+10_1_si=on:cs=on:random_seed=4051657945:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 1.74/0.58 % (757456)Instruction limit reached!
% 1.74/0.58 % (757456)------------------------------
% 1.74/0.58 % (757456)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.74/0.58 % (757456)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.74/0.58 % (757456)CaDiCaL version: 2.1.3
% 1.74/0.58 % (757456)Termination reason: Instruction limit
% 1.74/0.61 % (757456)Termination phase: Saturation
% 1.74/0.61 % (757456)Time elapsed: 0.073 s
% 1.74/0.61 % (757456)Peak memory usage: 13 MB
% 1.74/0.61 % (757456)Instructions burned: 87 (million)
% 1.74/0.61 % (757480)Instruction limit reached!
% 1.74/0.61 % (757480)------------------------------
% 1.74/0.61 % (757480)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.74/0.61 % (757480)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.74/0.61 % (757480)CaDiCaL version: 2.1.3
% 1.74/0.61 % (757480)Termination reason: Instruction limit
% 1.74/0.61 % (757480)Termination phase: shuffling
% 1.74/0.61 % (757480)Time elapsed: 0.004 s
% 1.74/0.61 % (757480)Peak memory usage: 10 MB
% 1.74/0.61 % (757480)Instructions burned: 8 (million)
% 1.74/0.61 % (757477)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=747037295:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 1.74/0.61 % (757482)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.74/0.61 % (757486)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=3393329121:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.74/0.61 % (757483)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=4226728605:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 1.74/0.61 % (757482)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=4243093648:i=2:add=on:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.74/0.61 % (757482)Instruction limit reached!
% 1.74/0.61 % (757482)------------------------------
% 1.74/0.61 % (757482)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.74/0.61 % (757482)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.74/0.61 % (757482)CaDiCaL version: 2.1.3
% 1.74/0.61 % (757482)Termination reason: Instruction limit
% 1.74/0.61 % (757482)Termination phase: shuffling
% 1.74/0.61 % (757482)Time elapsed: 0.003 s
% 1.74/0.61 % (757482)Peak memory usage: 10 MB
% 1.74/0.61 % (757482)Instructions burned: 3 (million)
% 1.74/0.61 % (757487)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3074193769:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.74/0.61 % (757462)Instruction limit reached!
% 1.74/0.61 % (757462)------------------------------
% 1.74/0.61 % (757462)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.74/0.61 % (757462)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.74/0.61 % (757462)CaDiCaL version: 2.1.3
% 1.74/0.61 % (757462)Termination reason: Instruction limit
% 1.74/0.61 % (757462)Termination phase: Saturation
% 1.74/0.61 % (757462)Time elapsed: 0.128 s
% 1.74/0.61 % (757462)Peak memory usage: 13 MB
% 1.74/0.61 % (757462)Instructions burned: 158 (million)
% 1.74/0.61 % (757487)Instruction limit reached!
% 1.74/0.61 % (757487)------------------------------
% 1.74/0.61 % (757487)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.74/0.61 % (757487)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.74/0.61 % (757487)CaDiCaL version: 2.1.3
% 1.74/0.61 % (757487)Termination reason: Instruction limit
% 1.74/0.61 % (757487)Termination phase: Preprocessing 3
% 1.74/0.61 % (757487)Time elapsed: 0.021 s
% 1.74/0.61 % (757487)Peak memory usage: 11 MB
% 1.74/0.61 % (757487)Instructions burned: 25 (million)
% 1.74/0.61 % (757483)Instruction limit reached!
% 1.74/0.61 % (757483)------------------------------
% 1.74/0.61 % (757483)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.74/0.61 % (757483)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.74/0.61 % (757483)CaDiCaL version: 2.1.3
% 1.74/0.61 % (757483)Termination reason: Instruction limit
% 1.74/0.61 % (757483)Termination phase: Preprocessing 3
% 1.74/0.61 % (757483)Time elapsed: 0.034 s
% 1.74/0.61 % (757483)Peak memory usage: 12 MB
% 1.74/0.61 % (757483)Instructions burned: 39 (million)
% 1.74/0.61 % (757491)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=917539901:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.74/0.61 % (757477)Instruction limit reached!
% 1.74/0.61 % (757477)------------------------------
% 1.74/0.61 % (757477)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.74/0.61 % (757477)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.74/0.61 % (757477)CaDiCaL version: 2.1.3
% 1.74/0.61 % (757477)Termination reason: Instruction limit
% 1.74/0.61 % (757477)Termination phase: Saturation
% 1.74/0.61 % (757477)Time elapsed: 0.070 s
% 1.74/0.61 % (757477)Peak memory usage: 13 MB
% 1.74/0.61 % (757477)Instructions burned: 86 (million)
% 1.74/0.61 % (757491)Instruction limit reached!
% 1.74/0.61 % (757491)------------------------------
% 1.74/0.61 % (757491)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.74/0.61 % (757491)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.74/0.61 % (757491)CaDiCaL version: 2.1.3
% 1.74/0.61 % (757491)Termination reason: Instruction limit
% 1.74/0.61 % (757491)Termination phase: Property scanning
% 1.74/0.61 % (757491)Time elapsed: 0.013 s
% 1.74/0.61 % (757491)Peak memory usage: 10 MB
% 1.74/0.61 % (757491)Instructions burned: 15 (million)
% 1.74/0.61 % (757493)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=3471881230:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.74/0.61 % (757494)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=3873436860:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.74/0.61 % (757496)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=2719338115:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.74/0.61 % (757496)Instruction limit reached!
% 1.74/0.61 % (757496)------------------------------
% 1.74/0.61 % (757496)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.74/0.61 % (757496)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.74/0.61 % (757496)CaDiCaL version: 2.1.3
% 1.74/0.61 % (757496)Termination reason: Instruction limit
% 1.74/0.61 % (757496)Termination phase: shuffling
% 1.74/0.61 % (757496)Time elapsed: 0.003 s
% 1.74/0.61 % (757496)Peak memory usage: 10 MB
% 1.74/0.61 % (757496)Instructions burned: 3 (million)
% 1.74/0.61 % (757497)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3548140661:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.74/0.61 % (757494)Instruction limit reached!
% 1.74/0.61 % (757494)------------------------------
% 1.74/0.61 % (757494)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.74/0.61 % (757494)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.74/0.61 % (757494)CaDiCaL version: 2.1.3
% 1.74/0.61 % (757494)Termination reason: Instruction limit
% 1.74/0.61 % (757494)Termination phase: Property scanning
% 1.74/0.61 % (757494)Time elapsed: 0.013 s
% 1.74/0.61 % (757494)Peak memory usage: 10 MB
% 1.74/0.61 % (757494)Instructions burned: 15 (million)
% 1.74/0.61 % (757498)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=1394617327:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.74/0.61 % (757498)Instruction limit reached!
% 1.74/0.61 % (757498)------------------------------
% 1.74/0.61 % (757498)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.74/0.61 % (757498)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.74/0.61 % (757498)CaDiCaL version: 2.1.3
% 1.74/0.61 % (757498)Termination reason: Instruction limit
% 1.74/0.61 % (757498)Termination phase: Property scanning
% 1.74/0.61 % (757498)Time elapsed: 0.019 s
% 1.74/0.61 % (757498)Peak memory usage: 10 MB
% 1.74/0.61 % (757498)Instructions burned: 23 (million)
% 1.74/0.61 % (757497)Instruction limit reached!
% 1.74/0.61 % (757497)------------------------------
% 1.74/0.61 % (757497)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.74/0.61 % (757497)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.74/0.61 % (757497)CaDiCaL version: 2.1.3
% 1.74/0.61 % (757497)Termination reason: Instruction limit
% 1.74/0.61 % (757497)Termination phase: Property scanning
% 1.74/0.61 % (757497)Time elapsed: 0.022 s
% 1.74/0.61 % (757497)Peak memory usage: 10 MB
% 1.74/0.61 % (757497)Instructions burned: 26 (million)
% 1.74/0.61 % (757502)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=3067541013:cond=on:i=60:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/60Mi)
% 1.74/0.61 % (757504)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 1.74/0.61 % (757504)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.74/0.61 % (757486)Instruction limit reached!
% 1.74/0.61 % (757486)------------------------------
% 1.74/0.61 % (757486)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.74/0.61 % (757486)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.74/0.61 % (757486)CaDiCaL version: 2.1.3
% 1.74/0.61 % (757486)Termination reason: Instruction limit
% 1.74/0.61 % (757486)Termination phase: Saturation
% 1.74/0.61 % (757486)Time elapsed: 0.111 s
% 1.74/0.61 % (757486)Peak memory usage: 14 MB
% 1.74/0.61 % (757486)Instructions burned: 250 (million)
% 1.74/0.61 % (757504)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=583751777:i=14:add=off:nm=40:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/14Mi)
% 1.74/0.61 % (757459) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-757451-757459"...
% 1.74/0.61 % (757504)Instruction limit reached!
% 1.74/0.61 % (757504)------------------------------
% 1.74/0.61 % (757504)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.74/0.61 % (757504)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.74/0.61 % (757504)CaDiCaL version: 2.1.3
% 1.74/0.61 % (757504)Termination reason: Instruction limit
% 1.74/0.61 % (757504)Termination phase: shuffling
% 1.74/0.61 % (757504)Time elapsed: 0.012 s
% 1.74/0.61 % (757504)Peak memory usage: 10 MB
% 1.74/0.61 % (757504)Instructions burned: 15 (million)
% 1.74/0.61 % (757506)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.74/0.61 % (757509)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=800522508:i=7:hud=5:bd=preordered:rtra=on:bet=on_2997 on theBenchmark for (2997ds/7Mi)
% 1.74/0.61 % (757459)...printing done.
% 1.74/0.61 % (757459)Refutation found. Thanks to Tanya!
% 1.74/0.61 % SZS status Theorem for theBenchmark
% 1.74/0.61 % SZS output start Proof for theBenchmark
% 1.74/0.61 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 1.74/0.61 thf(func_def_0, type, in: ($i > $i > $o)).
% 1.74/0.61 thf(func_def_1, type, exu: (($i > $o) > $o)).
% 1.74/0.61 thf(func_def_3, type, setextAx: $o).
% 1.74/0.61 thf(func_def_5, type, emptysetAx: $o).
% 1.74/0.61 thf(func_def_6, type, setadjoin: ($i > $i > $i)).
% 1.74/0.61 thf(func_def_7, type, setadjoinAx: $o).
% 1.74/0.61 thf(func_def_8, type, powerset: ($i > $i)).
% 1.74/0.61 thf(func_def_9, type, powersetAx: $o).
% 1.74/0.61 thf(func_def_10, type, setunion: ($i > $i)).
% 1.74/0.61 thf(func_def_11, type, setunionAx: $o).
% 1.74/0.61 thf(func_def_13, type, omega0Ax: $o).
% 1.74/0.61 thf(func_def_14, type, omegaSAx: $o).
% 1.74/0.61 thf(func_def_15, type, omegaIndAx: $o).
% 1.74/0.61 thf(func_def_16, type, replAx: $o).
% 1.74/0.61 thf(func_def_17, type, foundationAx: $o).
% 1.74/0.61 thf(func_def_18, type, wellorderingAx: $o).
% 1.74/0.61 thf(func_def_19, type, descr: (($i > $o) > $i)).
% 1.74/0.61 thf(func_def_20, type, descrp: $o).
% 1.74/0.61 thf(func_def_21, type, dsetconstr: ($i > ($i > $o) > $i)).
% 1.74/0.61 thf(func_def_22, type, dsetconstrI: $o).
% 1.74/0.61 thf(func_def_23, type, dsetconstrEL: $o).
% 1.74/0.61 thf(func_def_24, type, dsetconstrER: $o).
% 1.74/0.61 thf(func_def_25, type, exuE1: $o).
% 1.74/0.61 thf(func_def_26, type, prop2set: ($o > $i)).
% 1.74/0.61 thf(func_def_27, type, prop2setE: $o).
% 1.74/0.61 thf(func_def_28, type, emptysetE: $o).
% 1.74/0.61 thf(func_def_29, type, emptysetimpfalse: $o).
% 1.74/0.61 thf(func_def_30, type, notinemptyset: $o).
% 1.74/0.61 thf(func_def_31, type, exuE3e: $o).
% 1.74/0.61 thf(func_def_32, type, setext: $o).
% 1.74/0.61 thf(func_def_33, type, emptyI: $o).
% 1.74/0.61 thf(func_def_34, type, noeltsimpempty: $o).
% 1.74/0.61 thf(func_def_35, type, setbeta: $o).
% 1.74/0.61 thf(func_def_36, type, nonempty: ($i > $o)).
% 1.74/0.61 thf(func_def_37, type, nonemptyE1: $o).
% 1.74/0.61 thf(func_def_38, type, nonemptyI: $o).
% 1.74/0.61 thf(func_def_39, type, nonemptyI1: $o).
% 1.74/0.61 thf(func_def_40, type, setadjoinIL: $o).
% 1.74/0.61 thf(func_def_41, type, emptyinunitempty: $o).
% 1.74/0.61 thf(func_def_42, type, setadjoinIR: $o).
% 1.74/0.61 thf(func_def_43, type, setadjoinE: $o).
% 1.74/0.61 thf(func_def_44, type, setadjoinOr: $o).
% 1.74/0.61 thf(func_def_45, type, setoftrueEq: $o).
% 1.74/0.61 thf(func_def_46, type, powersetI: $o).
% 1.74/0.61 thf(func_def_47, type, emptyinPowerset: $o).
% 1.74/0.61 thf(func_def_48, type, emptyInPowerset: $o).
% 1.74/0.61 thf(func_def_49, type, powersetE: $o).
% 1.74/0.61 thf(func_def_50, type, setunionI: $o).
% 1.74/0.61 thf(func_def_51, type, setunionE: $o).
% 1.74/0.61 thf(func_def_52, type, subPowSU: $o).
% 1.74/0.61 thf(func_def_53, type, exuE2: $o).
% 1.74/0.61 thf(func_def_54, type, nonemptyImpWitness: $o).
% 1.74/0.61 thf(func_def_55, type, uniqinunit: $o).
% 1.74/0.61 thf(func_def_56, type, notinsingleton: $o).
% 1.74/0.61 thf(func_def_57, type, eqinunit: $o).
% 1.74/0.61 thf(func_def_58, type, singletonsswitch: $o).
% 1.74/0.61 thf(func_def_59, type, upairsetE: $o).
% 1.74/0.61 thf(func_def_60, type, upairsetIL: $o).
% 1.74/0.61 thf(func_def_61, type, upairsetIR: $o).
% 1.74/0.61 thf(func_def_62, type, emptyE1: $o).
% 1.74/0.61 thf(func_def_63, type, vacuousDall: $o).
% 1.74/0.61 thf(func_def_64, type, quantDeMorgan1: $o).
% 1.74/0.61 thf(func_def_65, type, quantDeMorgan2: $o).
% 1.74/0.61 thf(func_def_66, type, quantDeMorgan3: $o).
% 1.74/0.61 thf(func_def_67, type, quantDeMorgan4: $o).
% 1.74/0.61 thf(func_def_68, type, prop2setI: $o).
% 1.74/0.61 thf(func_def_69, type, set2prop: ($i > $o)).
% 1.74/0.61 thf(func_def_70, type, prop2set2propI: $o).
% 1.74/0.61 thf(func_def_71, type, notdexE: $o).
% 1.74/0.61 thf(func_def_72, type, notdallE: $o).
% 1.74/0.61 thf(func_def_73, type, exuI1: $o).
% 1.74/0.61 thf(func_def_74, type, exuI3: $o).
% 1.74/0.61 thf(func_def_75, type, exuI2: $o).
% 1.74/0.61 thf(func_def_76, type, inCongP: $o).
% 1.74/0.61 thf(func_def_77, type, in__Cong: $o).
% 1.74/0.61 thf(func_def_78, type, exuE3u: $o).
% 1.74/0.61 thf(func_def_79, type, exu__Cong: $o).
% 1.74/0.61 thf(func_def_80, type, emptyset__Cong: $o).
% 1.74/0.61 thf(func_def_81, type, setadjoin__Cong: $o).
% 1.74/0.61 thf(func_def_82, type, powerset__Cong: $o).
% 1.74/0.61 thf(func_def_83, type, setunion__Cong: $o).
% 1.74/0.61 thf(func_def_84, type, omega__Cong: $o).
% 1.74/0.61 thf(func_def_85, type, exuEu: $o).
% 1.74/0.61 thf(func_def_86, type, descr__Cong: $o).
% 1.74/0.61 thf(func_def_87, type, dsetconstr__Cong: $o).
% 1.74/0.61 thf(func_def_88, type, subset: ($i > $i > $o)).
% 1.74/0.61 thf(func_def_89, type, disjoint: ($i > $i > $o)).
% 1.74/0.61 thf(func_def_90, type, setsmeet: ($i > $i > $o)).
% 1.74/0.61 thf(func_def_91, type, subsetI1: $o).
% 1.74/0.61 thf(func_def_92, type, eqimpsubset2: $o).
% 1.74/0.61 thf(func_def_93, type, eqimpsubset1: $o).
% 1.74/0.61 thf(func_def_94, type, subsetI2: $o).
% 1.74/0.61 thf(func_def_95, type, emptysetsubset: $o).
% 1.74/0.61 thf(func_def_96, type, subsetE: $o).
% 1.74/0.61 thf(func_def_97, type, subsetE2: $o).
% 1.74/0.61 thf(func_def_98, type, notsubsetI: $o).
% 1.74/0.61 thf(func_def_99, type, notequalI1: $o).
% 1.74/0.61 thf(func_def_100, type, notequalI2: $o).
% 1.74/0.61 thf(func_def_101, type, subsetRefl: $o).
% 1.74/0.61 thf(func_def_102, type, subsetTrans: $o).
% 1.74/0.61 thf(func_def_103, type, setadjoinSub: $o).
% 1.74/0.61 thf(func_def_104, type, setadjoinSub2: $o).
% 1.74/0.61 thf(func_def_105, type, subset2powerset: $o).
% 1.74/0.61 thf(func_def_106, type, setextsub: $o).
% 1.74/0.61 thf(func_def_107, type, subsetemptysetimpeq: $o).
% 1.74/0.61 thf(func_def_108, type, powersetI1: $o).
% 1.74/0.61 thf(func_def_109, type, powersetE1: $o).
% 1.74/0.61 thf(func_def_110, type, inPowerset: $o).
% 1.74/0.61 thf(func_def_111, type, powersetsubset: $o).
% 1.74/0.61 thf(func_def_112, type, sepInPowerset: $o).
% 1.74/0.61 thf(func_def_113, type, sepSubset: $o).
% 1.74/0.61 thf(func_def_114, type, binunion: ($i > $i > $i)).
% 1.74/0.61 thf(func_def_115, type, binunionIL: $o).
% 1.74/0.61 thf(func_def_116, type, upairset2IR: $o).
% 1.74/0.61 thf(func_def_117, type, binunionIR: $o).
% 1.74/0.61 thf(func_def_118, type, binunionEcases: $o).
% 1.74/0.61 thf(func_def_119, type, binunionE: $o).
% 1.74/0.61 thf(func_def_120, type, binunionLsub: $o).
% 1.74/0.61 thf(func_def_121, type, binunionRsub: $o).
% 1.74/0.61 thf(func_def_122, type, binintersect: ($i > $i > $i)).
% 1.74/0.61 thf(func_def_123, type, binintersectI: $o).
% 1.74/0.61 thf(func_def_124, type, binintersectSubset5: $o).
% 1.74/0.61 thf(func_def_125, type, binintersectEL: $o).
% 1.74/0.61 thf(func_def_126, type, binintersectLsub: $o).
% 1.74/0.61 thf(func_def_127, type, binintersectSubset2: $o).
% 1.74/0.61 thf(func_def_128, type, binintersectSubset3: $o).
% 1.74/0.61 thf(func_def_129, type, binintersectER: $o).
% 1.74/0.61 thf(func_def_130, type, disjointsetsI1: $o).
% 1.74/0.61 thf(func_def_131, type, binintersectRsub: $o).
% 1.74/0.61 thf(func_def_132, type, binintersectSubset4: $o).
% 1.74/0.61 thf(func_def_133, type, binintersectSubset1: $o).
% 1.74/0.61 thf(func_def_134, type, bs114d: $o).
% 1.74/0.61 thf(func_def_135, type, regular: ($i > $o)).
% 1.74/0.61 thf(func_def_136, type, setminus: ($i > $i > $i)).
% 1.74/0.61 thf(func_def_137, type, setminusI: $o).
% 1.74/0.61 thf(func_def_138, type, setminusEL: $o).
% 1.74/0.61 thf(func_def_139, type, setminusER: $o).
% 1.74/0.61 thf(func_def_140, type, setminusSubset2: $o).
% 1.74/0.61 thf(func_def_141, type, setminusERneg: $o).
% 1.74/0.61 thf(func_def_142, type, setminusELneg: $o).
% 1.74/0.61 thf(func_def_143, type, setminusILneg: $o).
% 1.74/0.61 thf(func_def_144, type, setminusIRneg: $o).
% 1.74/0.61 thf(func_def_145, type, setminusLsub: $o).
% 1.74/0.61 thf(func_def_146, type, setminusSubset1: $o).
% 1.74/0.61 thf(func_def_147, type, symdiff: ($i > $i > $i)).
% 1.74/0.61 thf(func_def_148, type, symdiffE: $o).
% 1.74/0.61 thf(func_def_149, type, symdiffI1: $o).
% 1.74/0.61 thf(func_def_150, type, symdiffI2: $o).
% 1.74/0.61 thf(func_def_151, type, symdiffIneg1: $o).
% 1.74/0.61 thf(func_def_152, type, symdiffIneg2: $o).
% 1.74/0.61 thf(func_def_153, type, iskpair: ($i > $o)).
% 1.74/0.61 thf(func_def_154, type, secondinupair: $o).
% 1.74/0.61 thf(func_def_157, type, db0: !>[X0: $tType]:(X0)).
% 1.74/0.61 thf(func_def_158, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 1.74/0.61 thf(func_def_159, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 1.74/0.61 thf(func_def_160, type, vAND: ($o > $o > $o)).
% 1.74/0.61 thf(func_def_161, type, db1: !>[X0: $tType]:(X0)).
% 1.74/0.61 thf(func_def_162, type, db2: !>[X0: $tType]:(X0)).
% 1.74/0.61 thf(func_def_163, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 1.74/0.61 thf(func_def_164, type, vNOT: ($o > $o)).
% 1.74/0.61 thf(func_def_165, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 1.74/0.61 thf(func_def_166, type, vIMP: ($o > $o > $o)).
% 1.74/0.61 thf(func_def_167, type, sP0: ($i > $i > $o)).
% 1.74/0.61 thf(func_def_168, type, sP1: ($i > $o)).
% 1.74/0.61 thf(func_def_169, type, sP2: $o).
% 1.74/0.61 thf(func_def_170, type, sK3: ($i > $i)).
% 1.74/0.61 thf(func_def_182, type, sK15: ($i > $i)).
% 1.74/0.61 thf(func_def_187, type, sK20: $o).
% 1.74/0.61 thf(func_def_191, type, sK24: ($i > $i > $i)).
% 1.74/0.61 thf(func_def_199, type, sK32: (($i > $o) > $i)).
% 1.74/0.61 thf(func_def_200, type, sK33: ($i > $o)).
% 1.74/0.61 thf(func_def_204, type, sK37: $o).
% 1.74/0.61 thf(func_def_208, type, sK41: ($i > $o)).
% 1.74/0.61 thf(func_def_210, type, sK43: ($i > $o)).
% 1.74/0.61 thf(func_def_216, type, sK49: $o).
% 1.74/0.61 thf(func_def_220, type, sK53: ($i > ($i > $o) > $i)).
% 1.74/0.61 thf(func_def_221, type, sK54: ($i > $o)).
% 1.74/0.61 thf(func_def_228, type, sK61: ($i > $o)).
% 1.74/0.61 thf(func_def_238, type, sK71: ($i > $i > $i)).
% 1.74/0.61 thf(func_def_239, type, sK72: ($i > $i)).
% 1.74/0.61 thf(func_def_245, type, sK78: ($i > $o)).
% 1.74/0.61 thf(func_def_258, type, sK91: $o).
% 1.74/0.61 thf(func_def_284, type, sK117: ($i > $i)).
% 1.74/0.61 thf(func_def_286, type, sK119: ($i > $i)).
% 1.74/0.61 thf(func_def_287, type, sK120: ($i > $o)).
% 1.74/0.61 thf(func_def_290, type, sK123: ($i > ($i > $o) > $i)).
% 1.74/0.61 thf(func_def_291, type, sK124: ($i > $i > $o)).
% 1.74/0.61 thf(func_def_293, type, sK126: ($i > $i)).
% 1.74/0.61 thf(func_def_294, type, sK127: ($i > $i)).
% 1.74/0.61 thf(func_def_295, type, sK128: ($i > ($i > $i > $o) > $i)).
% 1.74/0.61 thf(func_def_296, type, sK129: ($i > ($i > $i > $o) > $i)).
% 1.74/0.61 thf(func_def_297, type, sK130: ($i > $i > ($i > $i > $o) > $i)).
% 1.74/0.61 thf(func_def_302, type, sK135: ($i > $o)).
% 1.74/0.61 thf(func_def_304, type, sK137: ($i > ($i > $o) > $i)).
% 1.74/0.61 thf(func_def_305, type, sK138: ($i > $o)).
% 1.74/0.61 thf(func_def_310, type, sK143: $o).
% 1.74/0.61 thf(func_def_312, type, sK145: ($i > $i)).
% 1.74/0.61 thf(func_def_313, type, sK146: ($o > $i > $i > $i)).
% 1.74/0.61 thf(func_def_316, type, sK149: $o).
% 1.74/0.61 thf(func_def_320, type, sK153: ($i > ($i > $o) > $i)).
% 1.74/0.61 thf(func_def_321, type, sK154: ($i > $o)).
% 1.74/0.61 thf(func_def_340, type, sK173: ($i > $o)).
% 1.74/0.61 thf(func_def_341, type, sK174: ($i > $i)).
% 1.74/0.61 thf(func_def_342, type, sK175: (($i > $o) > $i)).
% 1.74/0.61 thf(func_def_346, type, sK179: ($i > $o)).
% 1.74/0.61 thf(func_def_352, type, sK185: ($i > $o)).
% 1.74/0.61 thf(func_def_353, type, sK186: ($i > $o)).
% 1.74/0.61 thf(func_def_360, type, sK193: ($i > $i > $i)).
% 1.74/0.61 thf(func_def_365, type, sK198: ($i > $i)).
% 1.74/0.61 thf(func_def_366, type, sK199: ($i > $i)).
% 1.74/0.61 thf(func_def_367, type, sK200: ($i > $i)).
% 1.74/0.61 thf(func_def_368, type, sK201: ($i > $i)).
% 1.74/0.61 thf(func_def_369, type, sK202: ($i > $i)).
% 1.74/0.61 thf(func_def_370, type, sK203: ($i > $i > $i > $i)).
% 1.74/0.61 thf(func_def_371, type, sK204: ($i > $i)).
% 1.74/0.61 thf(func_def_372, type, sK205: ($i > $i)).
% 1.74/0.61 thf(func_def_373, type, sK206: ($i > $i)).
% 1.74/0.61 thf(func_def_374, type, sK207: ($i > $i)).
% 1.74/0.61 thf(func_def_375, type, sK208: ($i > $i > $i)).
% 1.74/0.61 thf(func_def_376, type, sK209: ($i > $i > $i)).
% 1.74/0.61 thf(func_def_377, type, sK210: ($i > $i > $i > $i)).
% 1.74/0.61 thf(func_def_378, type, sK211: ($i > $i > $i > $i)).
% 1.74/0.61 thf(func_def_379, type, sK212: ($i > $i > $i > $i)).
% 1.74/0.61 thf(func_def_380, type, sK213: ($i > $i > $i)).
% 1.74/0.61 thf(func_def_381, type, sK214: ($i > $i > $i)).
% 1.74/0.61 thf(func_def_382, type, sK215: ($i > $i > $i)).
% 1.74/0.61 thf(func_def_388, type, sK221: ($i > $i > $i)).
% 1.74/0.61 thf(func_def_394, type, sK227: (($i > $o) > $i > $i)).
% 1.74/0.61 thf(func_def_396, type, sK229: ($i > $o)).
% 1.74/0.61 thf(func_def_398, type, sK231: ($i > $i > $i)).
% 1.74/0.61 thf(func_def_403, type, sK236: ($i > $i > $i)).
% 1.74/0.61 thf(func_def_404, type, sK237: ($i > $i > $i)).
% 1.74/0.61 thf(func_def_407, type, sK240: ($i > $o)).
% 1.74/0.61 thf(func_def_411, type, sK244: ($i > $i > $i)).
% 1.74/0.61 thf(func_def_419, type, sK252: ($i > $i > $i)).
% 1.74/0.61 thf(func_def_426, type, sK259: ($i > $o)).
% 1.74/0.61 thf(func_def_428, type, sK261: (($i > $o) > $i > $i)).
% 1.74/0.61 thf(func_def_432, type, sK265: $o).
% 1.74/0.61 thf(func_def_435, type, sK268: ($i > ($i > $o) > $i)).
% 1.74/0.61 thf(func_def_436, type, sK269: ($i > $o)).
% 1.74/0.61 thf(func_def_444, type, sK277: ($i > $o)).
% 1.74/0.61 thf(func_def_449, type, sK282: ($i > $i)).
% 1.74/0.61 thf(func_def_459, type, sK292: ($i > $o)).
% 1.74/0.61 thf(func_def_461, type, sK294: (($i > $o) > $i > $i)).
% 1.74/0.61 thf(func_def_466, type, sK299: ($i > $o)).
% 1.74/0.61 thf(func_def_470, type, sK303: ($i > $o)).
% 1.74/0.61 thf(func_def_476, type, sK309: ($i > $o)).
% 1.74/0.61 thf(func_def_477, type, sK310: ($i > $i)).
% 1.74/0.61 thf(func_def_478, type, sK311: (($i > $o) > $i)).
% 1.74/0.61 thf(func_def_490, type, sK323: ($i > $o)).
% 1.74/0.61 thf(func_def_491, type, sK324: ($i > $o)).
% 1.74/0.61 thf(func_def_492, type, sK325: (($i > $o) > ($i > $o) > $i)).
% 1.74/0.61 thf(func_def_493, type, sK326: (($i > $o) > ($i > $o) > $i)).
% 1.74/0.61 thf(func_def_502, type, sK335: (($i > $o) > ($i > $o) > $i > $i > $i)).
% 1.74/0.61 thf(func_def_503, type, sK336: (($i > $o) > ($i > $o) > $i > $i > $i)).
% 1.74/0.61 thf(func_def_506, type, sK339: ($i > $o)).
% 1.74/0.61 thf(func_def_507, type, sK340: ($i > $o)).
% 1.74/0.61 thf(func_def_508, type, sK341: (($i > $o) > $i)).
% 1.74/0.61 thf(func_def_509, type, sK342: (($i > $o) > $i)).
% 1.74/0.61 thf(func_def_510, type, sK343: ($i > $o)).
% 1.74/0.61 thf(func_def_518, type, sK351: (($i > $o) > ($i > $o) > $i)).
% 1.74/0.61 thf(func_def_519, type, sK352: (($i > $o) > ($i > $o) > $i)).
% 1.74/0.61 thf(func_def_520, type, sK353: ($i > $o)).
% 1.74/0.61 thf(func_def_521, type, sK354: ($i > $o)).
% 1.74/0.61 thf(func_def_523, type, sK356: $o).
% 1.74/0.61 thf(f6,axiom,(
% 1.74/0.61 (setunionAx = ! [X0 : $i,X1 : $i] : (? [X2 : $i] : ((in @ X2 @ X0) & (in @ X1 @ X2)) <=> (in @ X1 @ (setunion @ X0))))),
% 1.74/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p',setunionAx)).
% 1.74/0.61 thf(f31,axiom,(
% 1.74/0.61 (setadjoinIL = ! [X0 : $i,X1 : $i] : (in @ X0 @ (setadjoin @ X0 @ X1)))),
% 1.74/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p',setadjoinIL)).
% 1.74/0.61 thf(f137,conjecture,(
% 1.74/0.61 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 => ! [X1 : $i,X0 : $i] : (in @ X0 @ (setunion @ (setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 1.74/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p',setukpairIL)).
% 1.74/0.61 thf(f138,negated_conjecture,(
% 1.74/0.61 ~(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 => ! [X1 : $i,X0 : $i] : (in @ X0 @ (setunion @ (setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 1.74/0.61 inference(negated_conjecture,[status(cth)],[f137])).
% 1.74/0.61 thf(f302,plain,(
% 1.74/0.61 ~(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 => ! [X0 : $i,X1 : $i] : (in @ X1 @ (setunion @ (setadjoin @ (setadjoin @ X1 @ emptyset) @ (setadjoin @ (setadjoin @ X1 @ (setadjoin @ X0 @ emptyset)) @ emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 1.74/0.61 inference(rectify,[],[f138])).
% 1.74/0.61 thf(f303,plain,(
% 1.74/0.61 ~((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) => ! [X0 : $i,X1 : $i] : (((in @ X1 @ (setunion @ (setadjoin @ (setadjoin @ X1 @ emptyset) @ (setadjoin @ (setadjoin @ X1 @ (setadjoin @ X0 @ emptyset)) @ emptyset))))) = $true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 1.74/0.61 inference(fool_elimination,[],[f302])).
% 1.74/0.61 thf(f332,plain,(
% 1.74/0.61 (setadjoinIL = ! [X0 : $i,X1 : $i] : (in @ X0 @ (setadjoin @ X0 @ X1)))),
% 1.74/0.61 inference(rectify,[],[f31])).
% 1.74/0.61 thf(f333,plain,(
% 1.74/0.61 ! [X1 : $i,X0 : $i] : (((in @ X0 @ (setadjoin @ X0 @ X1))) = $true) <=> (setadjoinIL = $true)),
% 1.74/0.61 inference(fool_elimination,[],[f332])).
% 1.74/0.61 thf(f360,plain,(
% 1.74/0.61 (setunionAx = ! [X0 : $i,X1 : $i] : (? [X2 : $i] : ((in @ X2 @ X0) & (in @ X1 @ X2)) <=> (in @ X1 @ (setunion @ X0))))),
% 1.74/0.61 inference(rectify,[],[f6])).
% 1.74/0.61 thf(f361,plain,(
% 1.74/0.61 (setunionAx = $true) <=> ! [X0 : $i,X1 : $i] : ((((in @ X1 @ (setunion @ X0))) = $true) <=> ? [X2 : $i] : ((((in @ X1 @ X2)) = $true) & (((in @ X2 @ X0)) = $true)))),
% 1.74/0.61 inference(fool_elimination,[],[f360])).
% 1.74/0.61 thf(f515,plain,(
% 1.74/0.61 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((? [X1 : $i,X0 : $i] : (((in @ X1 @ (setunion @ (setadjoin @ (setadjoin @ X1 @ emptyset) @ (setadjoin @ (setadjoin @ X1 @ (setadjoin @ X0 @ emptyset)) @ emptyset))))) != $true) & (secondinupair = $true)) & (symdiffIneg2 = $true)) & (symdiffIneg1 = $true)) & (symdiffI2 = $true)) & (symdiffI1 = $true)) & (symdiffE = $true)) & (setminusSubset1 = $true)) & (setminusLsub = $true)) & (setminusIRneg = $true)) & (setminusILneg = $true)) & (setminusELneg = $true)) & (setminusERneg = $true)) & (setminusSubset2 = $true)) & (setminusER = $true)) & (setminusEL = $true)) & (setminusI = $true)) & (bs114d = $true)) & (binintersectSubset1 = $true)) & (binintersectSubset4 = $true)) & (binintersectRsub = $true)) & (disjointsetsI1 = $true)) & (binintersectER = $true)) & (binintersectSubset3 = $true)) & (binintersectSubset2 = $true)) & (binintersectLsub = $true)) & (binintersectEL = $true)) & (binintersectSubset5 = $true)) & (binintersectI = $true)) & (binunionRsub = $true)) & (binunionLsub = $true)) & (binunionE = $true)) & (binunionEcases = $true)) & (binunionIR = $true)) & (upairset2IR = $true)) & (binunionIL = $true)) & (sepSubset = $true)) & (sepInPowerset = $true)) & (powersetsubset = $true)) & (inPowerset = $true)) & (powersetE1 = $true)) & (powersetI1 = $true)) & (subsetemptysetimpeq = $true)) & (setextsub = $true)) & (subset2powerset = $true)) & (setadjoinSub2 = $true)) & (setadjoinSub = $true)) & (subsetTrans = $true)) & (subsetRefl = $true)) & (notequalI2 = $true)) & (notequalI1 = $true)) & (notsubsetI = $true)) & (subsetE2 = $true)) & (subsetE = $true)) & (emptysetsubset = $true)) & (subsetI2 = $true)) & (eqimpsubset1 = $true)) & (eqimpsubset2 = $true)) & (subsetI1 = $true)) & (dsetconstr__Cong = $true)) & (descr__Cong = $true)) & (exuEu = $true)) & (omega__Cong = $true)) & (setunion__Cong = $true)) & (powerset__Cong = $true)) & (setadjoin__Cong = $true)) & (emptyset__Cong = $true)) & (exu__Cong = $true)) & (exuE3u = $true)) & (in__Cong = $true)) & (inCongP = $true)) & (exuI2 = $true)) & (exuI3 = $true)) & (exuI1 = $true)) & (notdallE = $true)) & (notdexE = $true)) & (prop2set2propI = $true)) & (prop2setI = $true)) & (quantDeMorgan4 = $true)) & (quantDeMorgan3 = $true)) & (quantDeMorgan2 = $true)) & (quantDeMorgan1 = $true)) & (vacuousDall = $true)) & (emptyE1 = $true)) & (upairsetIR = $true)) & (upairsetIL = $true)) & (upairsetE = $true)) & (singletonsswitch = $true)) & (eqinunit = $true)) & (notinsingleton = $true)) & (uniqinunit = $true)) & (nonemptyImpWitness = $true)) & (exuE2 = $true)) & (subPowSU = $true)) & (setunionE = $true)) & (setunionI = $true)) & (powersetE = $true)) & (emptyInPowerset = $true)) & (emptyinPowerset = $true)) & (powersetI = $true)) & (setoftrueEq = $true)) & (setadjoinOr = $true)) & (setadjoinE = $true)) & (setadjoinIR = $true)) & (emptyinunitempty = $true)) & (setadjoinIL = $true)) & (nonemptyI1 = $true)) & (nonemptyI = $true)) & (nonemptyE1 = $true)) & (setbeta = $true)) & (noeltsimpempty = $true)) & (emptyI = $true)) & (setext = $true)) & (exuE3e = $true)) & (notinemptyset = $true)) & (emptysetimpfalse = $true)) & (emptysetE = $true)) & (prop2setE = $true)) & (exuE1 = $true)) & (dsetconstrER = $true)) & (dsetconstrEL = $true)) & (dsetconstrI = $true)) & (descrp = $true)) & (wellorderingAx = $true)) & (foundationAx = $true)) & (replAx = $true)) & (omegaIndAx = $true)) & (omegaSAx = $true)) & (omega0Ax = $true)) & (setunionAx = $true)) & (powersetAx = $true)) & (setadjoinAx = $true)) & (emptysetAx = $true)) & (setextAx = $true)),
% 1.74/0.61 inference(ennf_transformation,[],[f303])).
% 1.74/0.61 thf(f516,plain,(
% 1.74/0.61 (setminusLsub = $true) & (exuEu = $true) & (setunion__Cong = $true) & (exu__Cong = $true) & (inPowerset = $true) & (subsetE = $true) & (exuE2 = $true) & (setunionE = $true) & (emptyInPowerset = $true) & (quantDeMorgan2 = $true) & (binunionEcases = $true) & (notinemptyset = $true) & (subsetI1 = $true) & (eqimpsubset1 = $true) & (uniqinunit = $true) & (vacuousDall = $true) & (setbeta = $true) & (binintersectSubset4 = $true) & (binintersectSubset3 = $true) & (binunionRsub = $true) & (exuE3e = $true) & (in__Cong = $true) & (subsetE2 = $true) & (notequalI2 = $true) & (setext = $true) & (setunionI = $true) & (wellorderingAx = $true) & (binintersectSubset5 = $true) & ? [X1 : $i,X0 : $i] : (((in @ X1 @ (setunion @ (setadjoin @ (setadjoin @ X1 @ emptyset) @ (setadjoin @ (setadjoin @ X1 @ (setadjoin @ X0 @ emptyset)) @ emptyset))))) != $true) & (binintersectEL = $true) & (omegaIndAx = $true) & (binintersectSubset2 = $true) & (disjointsetsI1 = $true) & (setminusI = $true) & (subset2powerset = $true) & (setminusILneg = $true) & (setadjoinIR = $true) & (binunionLsub = $true) & (symdiffIneg1 = $true) & (dsetconstrI = $true) & (notequalI1 = $true) & (inCongP = $true) & (subPowSU = $true) & (singletonsswitch = $true) & (setunionAx = $true) & (binunionE = $true) & (setadjoinOr = $true) & (upairsetE = $true) & (omega__Cong = $true) & (powersetsubset = $true) & (setminusELneg = $true) & (powersetE1 = $true) & (setoftrueEq = $true) & (binunionIR = $true) & (emptyinunitempty = $true) & (quantDeMorgan1 = $true) & (quantDeMorgan4 = $true) & (emptysetimpfalse = $true) & (subsetemptysetimpeq = $true) & (nonemptyImpWitness = $true) & (upairsetIR = $true) & (setadjoinSub2 = $true) & (binintersectLsub = $true) & (notdallE = $true) & (setadjoinIL = $true) & (setadjoin__Cong = $true) & (setextsub = $true) & (setminusERneg = $true) & (setminusSubset2 = $true) & (binunionIL = $true) & (subsetRefl = $true) & (notinsingleton = $true) & (setminusSubset1 = $true) & (powersetI1 = $true) & (setadjoinSub = $true) & (sepInPowerset = $true) & (nonemptyI = $true) & (notdexE = $true) & (replAx = $true) & (symdiffI2 = $true) & (dsetconstrEL = $true) & (sepSubset = $true) & (dsetconstrER = $true) & (dsetconstr__Cong = $true) & (subsetI2 = $true) & (descr__Cong = $true) & (binintersectRsub = $true) & (prop2setI = $true) & (nonemptyI1 = $true) & (foundationAx = $true) & (setminusEL = $true) & (descrp = $true) & (powerset__Cong = $true) & (bs114d = $true) & (binintersectER = $true) & (quantDeMorgan3 = $true) & (noeltsimpempty = $true) & (emptysetE = $true) & (upairsetIL = $true) & (powersetAx = $true) & (symdiffE = $true) & (prop2setE = $true) & (setadjoinAx = $true) & (emptyinPowerset = $true) & (omega0Ax = $true) & (powersetE = $true) & (emptysetsubset = $true) & (prop2set2propI = $true) & (notsubsetI = $true) & (emptyset__Cong = $true) & (binintersectSubset1 = $true) & (symdiffIneg2 = $true) & (eqinunit = $true) & (upairset2IR = $true) & (setminusIRneg = $true) & (setextAx = $true) & (setadjoinE = $true) & (setminusER = $true) & (eqimpsubset2 = $true) & (exuE3u = $true) & (powersetI = $true) & (binintersectI = $true) & (emptysetAx = $true) & (exuI1 = $true) & (nonemptyE1 = $true) & (subsetTrans = $true) & (secondinupair = $true) & (emptyI = $true) & (emptyE1 = $true) & (exuE1 = $true) & (symdiffI1 = $true) & (exuI2 = $true) & (omegaSAx = $true) & (exuI3 = $true)),
% 1.74/0.61 inference(flattening,[],[f515])).
% 1.74/0.61 thf(f846,plain,(
% 1.74/0.61 ((setunionAx = $true) | ? [X0 : $i,X1 : $i] : ((! [X2 : $i] : ((((in @ X1 @ X2)) != $true) | (((in @ X2 @ X0)) != $true)) | (((in @ X1 @ (setunion @ X0))) != $true)) & (? [X2 : $i] : ((((in @ X1 @ X2)) = $true) & (((in @ X2 @ X0)) = $true)) | (((in @ X1 @ (setunion @ X0))) = $true)))) & (! [X0 : $i,X1 : $i] : (((((in @ X1 @ (setunion @ X0))) = $true) | ! [X2 : $i] : ((((in @ X1 @ X2)) != $true) | (((in @ X2 @ X0)) != $true))) & (? [X2 : $i] : ((((in @ X1 @ X2)) = $true) & (((in @ X2 @ X0)) = $true)) | (((in @ X1 @ (setunion @ X0))) != $true))) | (setunionAx != $true))),
% 1.74/0.61 inference(nnf_transformation,[],[f361])).
% 1.74/0.61 thf(f847,plain,(
% 1.74/0.61 ((setunionAx = $true) | ? [X0 : $i,X1 : $i] : ((! [X2 : $i] : ((((in @ X1 @ X2)) != $true) | (((in @ X2 @ X0)) != $true)) | (((in @ X1 @ (setunion @ X0))) != $true)) & (? [X3 : $i] : ((((in @ X1 @ X3)) = $true) & (((in @ X3 @ X0)) = $true)) | (((in @ X1 @ (setunion @ X0))) = $true)))) & (! [X4 : $i,X5 : $i] : ((($true = ((in @ X5 @ (setunion @ X4)))) | ! [X6 : $i] : ((((in @ X5 @ X6)) != $true) | (((in @ X6 @ X4)) != $true))) & (? [X7 : $i] : ((((in @ X5 @ X7)) = $true) & (((in @ X7 @ X4)) = $true)) | ($true != ((in @ X5 @ (setunion @ X4)))))) | (setunionAx != $true))),
% 1.74/0.61 inference(rectify,[],[f846])).
% 1.74/0.61 thf(f848,plain,(
% 1.74/0.61 ((setunionAx = $true) | ((! [X2 : $i] : ((((in @ sK242 @ X2)) != $true) | (((in @ X2 @ sK241)) != $true)) | (((in @ sK242 @ (setunion @ sK241))) != $true)) & (((((in @ sK242 @ sK243)) = $true) & ($true = ((in @ sK243 @ sK241)))) | (((in @ sK242 @ (setunion @ sK241))) = $true)))) & (! [X4 : $i,X5 : $i] : ((($true = ((in @ X5 @ (setunion @ X4)))) | ! [X6 : $i] : ((((in @ X5 @ X6)) != $true) | (((in @ X6 @ X4)) != $true))) & ((($true = ((in @ X5 @ (sK244 @ X5 @ X4)))) & (((in @ (sK244 @ X5 @ X4) @ X4)) = $true)) | ($true != ((in @ X5 @ (setunion @ X4)))))) | (setunionAx != $true))),
% 1.74/0.61 inference(skolemize,[status(esa),new_symbols(skolem,[sK241,sK242,sK243,vAPP]),skolemize(X0,sK241),skolemize(X1,sK242),skolemize(X3,sK243),skolemize(X1,sK3 @ X0)],[f847])).
% 1.74/0.61 thf(f914,plain,(
% 1.74/0.61 (setminusLsub = $true) & (exuEu = $true) & (setunion__Cong = $true) & (exu__Cong = $true) & (inPowerset = $true) & (subsetE = $true) & (exuE2 = $true) & (setunionE = $true) & (emptyInPowerset = $true) & (quantDeMorgan2 = $true) & (binunionEcases = $true) & (notinemptyset = $true) & (subsetI1 = $true) & (eqimpsubset1 = $true) & (uniqinunit = $true) & (vacuousDall = $true) & (setbeta = $true) & (binintersectSubset4 = $true) & (binintersectSubset3 = $true) & (binunionRsub = $true) & (exuE3e = $true) & (in__Cong = $true) & (subsetE2 = $true) & (notequalI2 = $true) & (setext = $true) & (setunionI = $true) & (wellorderingAx = $true) & (binintersectSubset5 = $true) & ? [X0 : $i,X1 : $i] : (((in @ X0 @ (setunion @ (setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset))))) != $true) & (binintersectEL = $true) & (omegaIndAx = $true) & (binintersectSubset2 = $true) & (disjointsetsI1 = $true) & (setminusI = $true) & (subset2powerset = $true) & (setminusILneg = $true) & (setadjoinIR = $true) & (binunionLsub = $true) & (symdiffIneg1 = $true) & (dsetconstrI = $true) & (notequalI1 = $true) & (inCongP = $true) & (subPowSU = $true) & (singletonsswitch = $true) & (setunionAx = $true) & (binunionE = $true) & (setadjoinOr = $true) & (upairsetE = $true) & (omega__Cong = $true) & (powersetsubset = $true) & (setminusELneg = $true) & (powersetE1 = $true) & (setoftrueEq = $true) & (binunionIR = $true) & (emptyinunitempty = $true) & (quantDeMorgan1 = $true) & (quantDeMorgan4 = $true) & (emptysetimpfalse = $true) & (subsetemptysetimpeq = $true) & (nonemptyImpWitness = $true) & (upairsetIR = $true) & (setadjoinSub2 = $true) & (binintersectLsub = $true) & (notdallE = $true) & (setadjoinIL = $true) & (setadjoin__Cong = $true) & (setextsub = $true) & (setminusERneg = $true) & (setminusSubset2 = $true) & (binunionIL = $true) & (subsetRefl = $true) & (notinsingleton = $true) & (setminusSubset1 = $true) & (powersetI1 = $true) & (setadjoinSub = $true) & (sepInPowerset = $true) & (nonemptyI = $true) & (notdexE = $true) & (replAx = $true) & (symdiffI2 = $true) & (dsetconstrEL = $true) & (sepSubset = $true) & (dsetconstrER = $true) & (dsetconstr__Cong = $true) & (subsetI2 = $true) & (descr__Cong = $true) & (binintersectRsub = $true) & (prop2setI = $true) & (nonemptyI1 = $true) & (foundationAx = $true) & (setminusEL = $true) & (descrp = $true) & (powerset__Cong = $true) & (bs114d = $true) & (binintersectER = $true) & (quantDeMorgan3 = $true) & (noeltsimpempty = $true) & (emptysetE = $true) & (upairsetIL = $true) & (powersetAx = $true) & (symdiffE = $true) & (prop2setE = $true) & (setadjoinAx = $true) & (emptyinPowerset = $true) & (omega0Ax = $true) & (powersetE = $true) & (emptysetsubset = $true) & (prop2set2propI = $true) & (notsubsetI = $true) & (emptyset__Cong = $true) & (binintersectSubset1 = $true) & (symdiffIneg2 = $true) & (eqinunit = $true) & (upairset2IR = $true) & (setminusIRneg = $true) & (setextAx = $true) & (setadjoinE = $true) & (setminusER = $true) & (eqimpsubset2 = $true) & (exuE3u = $true) & (powersetI = $true) & (binintersectI = $true) & (emptysetAx = $true) & (exuI1 = $true) & (nonemptyE1 = $true) & (subsetTrans = $true) & (secondinupair = $true) & (emptyI = $true) & (emptyE1 = $true) & (exuE1 = $true) & (symdiffI1 = $true) & (exuI2 = $true) & (omegaSAx = $true) & (exuI3 = $true)),
% 1.74/0.61 inference(rectify,[],[f516])).
% 1.74/0.61 thf(f915,plain,(
% 1.74/0.61 (setminusLsub = $true) & (exuEu = $true) & (setunion__Cong = $true) & (exu__Cong = $true) & (inPowerset = $true) & (subsetE = $true) & (exuE2 = $true) & (setunionE = $true) & (emptyInPowerset = $true) & (quantDeMorgan2 = $true) & (binunionEcases = $true) & (notinemptyset = $true) & (subsetI1 = $true) & (eqimpsubset1 = $true) & (uniqinunit = $true) & (vacuousDall = $true) & (setbeta = $true) & (binintersectSubset4 = $true) & (binintersectSubset3 = $true) & (binunionRsub = $true) & (exuE3e = $true) & (in__Cong = $true) & (subsetE2 = $true) & (notequalI2 = $true) & (setext = $true) & (setunionI = $true) & (wellorderingAx = $true) & (binintersectSubset5 = $true) & (((in @ sK301 @ (setunion @ (setadjoin @ (setadjoin @ sK301 @ emptyset) @ (setadjoin @ (setadjoin @ sK301 @ (setadjoin @ sK302 @ emptyset)) @ emptyset))))) != $true) & (binintersectEL = $true) & (omegaIndAx = $true) & (binintersectSubset2 = $true) & (disjointsetsI1 = $true) & (setminusI = $true) & (subset2powerset = $true) & (setminusILneg = $true) & (setadjoinIR = $true) & (binunionLsub = $true) & (symdiffIneg1 = $true) & (dsetconstrI = $true) & (notequalI1 = $true) & (inCongP = $true) & (subPowSU = $true) & (singletonsswitch = $true) & (setunionAx = $true) & (binunionE = $true) & (setadjoinOr = $true) & (upairsetE = $true) & (omega__Cong = $true) & (powersetsubset = $true) & (setminusELneg = $true) & (powersetE1 = $true) & (setoftrueEq = $true) & (binunionIR = $true) & (emptyinunitempty = $true) & (quantDeMorgan1 = $true) & (quantDeMorgan4 = $true) & (emptysetimpfalse = $true) & (subsetemptysetimpeq = $true) & (nonemptyImpWitness = $true) & (upairsetIR = $true) & (setadjoinSub2 = $true) & (binintersectLsub = $true) & (notdallE = $true) & (setadjoinIL = $true) & (setadjoin__Cong = $true) & (setextsub = $true) & (setminusERneg = $true) & (setminusSubset2 = $true) & (binunionIL = $true) & (subsetRefl = $true) & (notinsingleton = $true) & (setminusSubset1 = $true) & (powersetI1 = $true) & (setadjoinSub = $true) & (sepInPowerset = $true) & (nonemptyI = $true) & (notdexE = $true) & (replAx = $true) & (symdiffI2 = $true) & (dsetconstrEL = $true) & (sepSubset = $true) & (dsetconstrER = $true) & (dsetconstr__Cong = $true) & (subsetI2 = $true) & (descr__Cong = $true) & (binintersectRsub = $true) & (prop2setI = $true) & (nonemptyI1 = $true) & (foundationAx = $true) & (setminusEL = $true) & (descrp = $true) & (powerset__Cong = $true) & (bs114d = $true) & (binintersectER = $true) & (quantDeMorgan3 = $true) & (noeltsimpempty = $true) & (emptysetE = $true) & (upairsetIL = $true) & (powersetAx = $true) & (symdiffE = $true) & (prop2setE = $true) & (setadjoinAx = $true) & (emptyinPowerset = $true) & (omega0Ax = $true) & (powersetE = $true) & (emptysetsubset = $true) & (prop2set2propI = $true) & (notsubsetI = $true) & (emptyset__Cong = $true) & (binintersectSubset1 = $true) & (symdiffIneg2 = $true) & (eqinunit = $true) & (upairset2IR = $true) & (setminusIRneg = $true) & (setextAx = $true) & (setadjoinE = $true) & (setminusER = $true) & (eqimpsubset2 = $true) & (exuE3u = $true) & (powersetI = $true) & (binintersectI = $true) & (emptysetAx = $true) & (exuI1 = $true) & (nonemptyE1 = $true) & (subsetTrans = $true) & (secondinupair = $true) & (emptyI = $true) & (emptyE1 = $true) & (exuE1 = $true) & (symdiffI1 = $true) & (exuI2 = $true) & (omegaSAx = $true) & (exuI3 = $true)),
% 1.74/0.61 inference(skolemize,[status(esa),new_symbols(skolem,[sK301,sK302]),skolemize(X0,sK301),skolemize(X1,sK302)],[f914])).
% 1.74/0.61 thf(f949,plain,(
% 1.74/0.61 (! [X1 : $i,X0 : $i] : (((in @ X0 @ (setadjoin @ X0 @ X1))) = $true) | (setadjoinIL != $true)) & ((setadjoinIL = $true) | ? [X1 : $i,X0 : $i] : (((in @ X0 @ (setadjoin @ X0 @ X1))) != $true))),
% 1.74/0.61 inference(nnf_transformation,[],[f333])).
% 1.74/0.61 thf(f950,plain,(
% 1.74/0.61 (! [X0 : $i,X1 : $i] : ($true = ((in @ X1 @ (setadjoin @ X1 @ X0)))) | (setadjoinIL != $true)) & ((setadjoinIL = $true) | ? [X2 : $i,X3 : $i] : (((in @ X3 @ (setadjoin @ X3 @ X2))) != $true))),
% 1.74/0.61 inference(rectify,[],[f949])).
% 1.74/0.61 thf(f951,plain,(
% 1.74/0.61 (! [X0 : $i,X1 : $i] : ($true = ((in @ X1 @ (setadjoin @ X1 @ X0)))) | (setadjoinIL != $true)) & ((setadjoinIL = $true) | (((in @ sK332 @ (setadjoin @ sK332 @ sK331))) != $true))),
% 1.74/0.61 inference(skolemize,[status(esa),new_symbols(skolem,[sK331,sK332]),skolemize(X2,sK331),skolemize(X3,sK332)],[f950])).
% 1.74/0.61 thf(f1346,plain,(
% 1.74/0.61 ( ! [X6 : $i,X4 : $i,X5 : $i] : (($true = ((in @ X5 @ (setunion @ X4)))) | (((in @ X5 @ X6)) != $true) | (((in @ X6 @ X4)) != $true) | (setunionAx != $true)) )),
% 1.74/0.61 inference(cnf_transformation,[],[f848])).
% 1.74/0.61 thf(f1503,plain,(
% 1.74/0.61 (setadjoinIL = $true)),
% 1.74/0.61 inference(cnf_transformation,[],[f915])).
% 1.74/0.61 thf(f1523,plain,(
% 1.74/0.61 (setunionAx = $true)),
% 1.74/0.61 inference(cnf_transformation,[],[f915])).
% 1.74/0.61 thf(f1539,plain,(
% 1.74/0.61 (((in @ sK301 @ (setunion @ (setadjoin @ (setadjoin @ sK301 @ emptyset) @ (setadjoin @ (setadjoin @ sK301 @ (setadjoin @ sK302 @ emptyset)) @ emptyset))))) != $true)),
% 1.74/0.61 inference(cnf_transformation,[],[f915])).
% 1.74/0.61 thf(f1604,plain,(
% 1.74/0.61 ( ! [X0 : $i,X1 : $i] : (($true = ((in @ X1 @ (setadjoin @ X1 @ X0)))) | (setadjoinIL != $true)) )),
% 1.74/0.61 inference(cnf_transformation,[],[f951])).
% 1.74/0.61 thf(f2501,definition,(
% 1.74/0.61 spl364_162 <=> (setunionAx = $true)),
% 1.74/0.61 introduced(definition,[new_symbols(definition,[spl364_162])],[avatar_definition])).
% 1.74/0.61 thf(f2655,definition,(
% 1.74/0.61 spl364_196 <=> (((in @ sK301 @ (setunion @ (setadjoin @ (setadjoin @ sK301 @ emptyset) @ (setadjoin @ (setadjoin @ sK301 @ (setadjoin @ sK302 @ emptyset)) @ emptyset))))) = $true)),
% 1.74/0.61 introduced(definition,[new_symbols(definition,[spl364_196])],[avatar_definition])).
% 1.74/0.61 thf(f2657,plain,(
% 1.74/0.61 (((in @ sK301 @ (setunion @ (setadjoin @ (setadjoin @ sK301 @ emptyset) @ (setadjoin @ (setadjoin @ sK301 @ (setadjoin @ sK302 @ emptyset)) @ emptyset))))) != $true) | spl364_196),
% 1.74/0.61 inference(avatar_component_clause,[],[f2655])).
% 1.74/0.61 thf(f2658,plain,(
% 1.74/0.61 ~spl364_196),
% 1.74/0.61 inference(avatar_split_clause,[],[f1539,f2655])).
% 1.74/0.61 thf(f2665,definition,(
% 1.74/0.61 spl364_198 <=> ! [X0 : $i,X1 : $i] : ($true = ((in @ X1 @ (setadjoin @ X1 @ X0))))),
% 1.74/0.61 introduced(definition,[new_symbols(definition,[spl364_198])],[avatar_definition])).
% 1.74/0.61 thf(f2666,plain,(
% 1.74/0.61 ( ! [X0 : $i,X1 : $i] : (($true = ((in @ X1 @ (setadjoin @ X1 @ X0))))) ) | ~spl364_198),
% 1.74/0.61 inference(avatar_component_clause,[],[f2665])).
% 1.74/0.61 thf(f2668,definition,(
% 1.74/0.61 spl364_199 <=> (setadjoinIL = $true)),
% 1.74/0.61 introduced(definition,[new_symbols(definition,[spl364_199])],[avatar_definition])).
% 1.74/0.61 thf(f2671,plain,(
% 1.74/0.61 spl364_198 | ~spl364_199),
% 1.74/0.61 inference(avatar_split_clause,[],[f1604,f2668,f2665])).
% 1.74/0.61 thf(f2828,plain,(
% 1.74/0.61 spl364_199),
% 1.74/0.61 inference(avatar_split_clause,[],[f1503,f2668])).
% 1.74/0.61 thf(f3616,definition,(
% 1.74/0.61 spl364_400 <=> ! [X6 : $i,X4 : $i,X5 : $i] : (($true = ((in @ X5 @ (setunion @ X4)))) | (((in @ X6 @ X4)) != $true) | (((in @ X5 @ X6)) != $true))),
% 1.74/0.61 introduced(definition,[new_symbols(definition,[spl364_400])],[avatar_definition])).
% 1.74/0.61 thf(f3617,plain,(
% 1.74/0.61 ( ! [X6 : $i,X4 : $i,X5 : $i] : (($true = ((in @ X5 @ (setunion @ X4)))) | (((in @ X5 @ X6)) != $true) | (((in @ X6 @ X4)) != $true)) ) | ~spl364_400),
% 1.74/0.61 inference(avatar_component_clause,[],[f3616])).
% 1.74/0.61 thf(f3618,plain,(
% 1.74/0.61 spl364_400 | ~spl364_162),
% 1.74/0.61 inference(avatar_split_clause,[],[f1346,f2501,f3616])).
% 1.74/0.61 thf(f3661,plain,(
% 1.74/0.61 spl364_162),
% 1.74/0.61 inference(avatar_split_clause,[],[f1523,f2501])).
% 1.74/0.61 thf(f5721,plain,(
% 1.74/0.61 ( ! [X0 : $i] : (($true != $true) | (((in @ sK301 @ X0)) != $true) | (((in @ X0 @ (setadjoin @ (setadjoin @ sK301 @ emptyset) @ (setadjoin @ (setadjoin @ sK301 @ (setadjoin @ sK302 @ emptyset)) @ emptyset)))) != $true)) ) | (spl364_196 | ~spl364_400)),
% 1.74/0.61 inference(superposition,[],[f2657,f3617])).
% 1.74/0.61 thf(f5727,plain,(
% 1.74/0.61 ( ! [X0 : $i] : ((((in @ X0 @ (setadjoin @ (setadjoin @ sK301 @ emptyset) @ (setadjoin @ (setadjoin @ sK301 @ (setadjoin @ sK302 @ emptyset)) @ emptyset)))) != $true) | (((in @ sK301 @ X0)) != $true)) ) | (spl364_196 | ~spl364_400)),
% 1.74/0.61 inference(trivial_inequality_removal,[],[f5721])).
% 1.74/0.61 thf(f5890,plain,(
% 1.74/0.61 ($true != $true) | (((in @ sK301 @ (setadjoin @ sK301 @ emptyset))) != $true) | (spl364_196 | ~spl364_198 | ~spl364_400)),
% 1.74/0.61 inference(superposition,[],[f5727,f2666])).
% 1.74/0.61 thf(f5913,plain,(
% 1.74/0.61 (((in @ sK301 @ (setadjoin @ sK301 @ emptyset))) != $true) | (spl364_196 | ~spl364_198 | ~spl364_400)),
% 1.74/0.61 inference(trivial_inequality_removal,[],[f5890])).
% 1.74/0.61 thf(f5939,plain,(
% 1.74/0.61 $false | (spl364_196 | ~spl364_198 | ~spl364_400)),
% 1.74/0.61 inference(forward_subsumption_resolution,[],[f5913,f2666])).
% 1.74/0.61 thf(f5940,plain,(
% 1.74/0.61 spl364_196 | ~spl364_198 | ~spl364_400),
% 1.74/0.61 inference(avatar_contradiction_clause,[],[f5939])).
% 1.74/0.61 cnf(s131, plain, ~spl364_196, inference(sat_conversion,[],[f2658])).
% 1.74/0.61 cnf(s134, plain, spl364_198 | ~spl364_199, inference(sat_conversion,[],[f2671])).
% 1.74/0.61 cnf(s167, plain, spl364_199, inference(sat_conversion,[],[f2828])).
% 1.74/0.61 cnf(s339, plain, ~spl364_162 | spl364_400, inference(sat_conversion,[],[f3618])).
% 1.74/0.61 cnf(s352, plain, spl364_162, inference(sat_conversion,[],[f3661])).
% 1.74/0.61 cnf(s656, plain, spl364_196 | ~spl364_198 | ~spl364_400, inference(sat_conversion,[],[f5940])).
% 1.74/0.61 cnf(s699, plain, spl364_400, inference(rat,[],[s339,s352])).
% 1.74/0.61 cnf(s764, plain, spl364_198, inference(rat,[],[s134,s167])).
% 1.74/0.61 cnf(s765, plain, spl364_196, inference(rat,[],[s656,s699,s764])).
% 1.74/0.61 cnf(s767, plain, $false, inference(rat,[],[s131,s765])).
% 1.74/0.61 thf(f5959,plain,(
% 1.74/0.61 $false),
% 1.74/0.61 inference(avatar_sat_refutation,[],[s767])).
% 1.74/0.61 % SZS output end Proof for theBenchmark
% 1.74/0.61 % (757459)------------------------------
% 1.74/0.61 % (757459)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.74/0.61 % (757459)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.74/0.61 % (757459)CaDiCaL version: 2.1.3
% 1.74/0.61 % (757459)Termination reason: Refutation
% 1.74/0.61 % (757459)Time elapsed: 0.225 s
% 1.74/0.61 % (757459)Peak memory usage: 17 MB
% 1.74/0.61 % (757459)Instructions burned: 245 (million)
% 1.74/0.61 % (757451)Success in time 0.276 s
% 1.74/0.61 % Vampire exiting
%------------------------------------------------------------------------------