%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP079^2 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n007.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 08:08:15 AM UTC 2026
% Result : Theorem 1.35s 0.52s
% Output : Refutation 1.35s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP079^2 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.18 % Computer : n007.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Tue Sep 29 19:46:27 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.22 Running higher-order theorem proving
% 0.22/0.27 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
% 0.63/0.39 % (3834534)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.63/0.39 % (3834539)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2211877606:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.63/0.39 % (3834545)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.63/0.39 % (3834545)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
% 0.63/0.39 % (3834541)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2781852975:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.63/0.39 % (3834540)lrs+10_16_si=on:nwc=1.5:random_seed=135814958:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.63/0.39 % (3834544)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1273632148:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.63/0.39 % (3834542)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=3788498336: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)
% 0.63/0.39 % (3834543)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3375069124:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.63/0.39 % (3834545)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=3819994338:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.63/0.39 % (3834541)Instruction limit reached!
% 0.63/0.39 % (3834541)------------------------------
% 0.63/0.39 % (3834541)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.39 % (3834541)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.39 % (3834541)CaDiCaL version: 2.1.3
% 0.63/0.39 % (3834541)Termination reason: Instruction limit
% 0.63/0.39 % (3834541)Termination phase: shuffling
% 0.63/0.39 % (3834541)Time elapsed: 0.002 s
% 0.63/0.39 % (3834541)Peak memory usage: 10 MB
% 0.63/0.39 % (3834541)Instructions burned: 3 (million)
% 0.63/0.39 % (3834540)Instruction limit reached!
% 0.63/0.39 % (3834540)------------------------------
% 0.63/0.39 % (3834540)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.39 % (3834540)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.39 % (3834540)CaDiCaL version: 2.1.3
% 0.63/0.39 % (3834540)Termination reason: Instruction limit
% 0.63/0.39 % (3834540)Termination phase: Property scanning
% 0.63/0.39 % (3834540)Time elapsed: 0.009 s
% 0.63/0.39 % (3834540)Peak memory usage: 10 MB
% 0.63/0.39 % (3834540)Instructions burned: 19 (million)
% 0.63/0.39 % (3834543)Instruction limit reached!
% 0.63/0.39 % (3834543)------------------------------
% 0.63/0.39 % (3834543)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.39 % (3834543)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.39 % (3834543)CaDiCaL version: 2.1.3
% 0.63/0.39 % (3834543)Termination reason: Instruction limit
% 0.63/0.39 % (3834543)Termination phase: Property scanning
% 0.63/0.39 % (3834543)Time elapsed: 0.011 s
% 0.63/0.39 % (3834543)Peak memory usage: 10 MB
% 0.63/0.39 % (3834543)Instructions burned: 24 (million)
% 0.63/0.39 % (3834539)Instruction limit reached!
% 0.63/0.39 % (3834539)------------------------------
% 0.63/0.39 % (3834539)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.39 % (3834539)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.39 % (3834539)CaDiCaL version: 2.1.3
% 0.63/0.39 % (3834539)Termination reason: Instruction limit
% 0.63/0.39 % (3834539)Termination phase: Saturation
% 0.63/0.39 % (3834539)Time elapsed: 0.022 s
% 0.63/0.39 % (3834539)Peak memory usage: 13 MB
% 0.63/0.39 % (3834539)Instructions burned: 87 (million)
% 0.63/0.39 % (3834553)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1474614618:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.63/0.39 % (3834553)Instruction limit reached!
% 0.63/0.39 % (3834553)------------------------------
% 0.63/0.39 % (3834553)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.44 % (3834553)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.44 % (3834553)CaDiCaL version: 2.1.3
% 0.63/0.44 % (3834553)Termination reason: Instruction limit
% 0.63/0.44 % (3834553)Termination phase: shuffling
% 0.63/0.44 % (3834553)Time elapsed: 0.002 s
% 0.63/0.44 % (3834553)Peak memory usage: 10 MB
% 0.63/0.44 % (3834553)Instructions burned: 3 (million)
% 0.63/0.44 % (3834556)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=2318560463:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.63/0.44 % (3834555)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.63/0.44 % (3834556)Instruction limit reached!
% 0.63/0.44 % (3834556)------------------------------
% 0.63/0.44 % (3834556)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.44 % (3834556)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.44 % (3834556)CaDiCaL version: 2.1.3
% 0.63/0.44 % (3834556)Termination reason: Instruction limit
% 0.63/0.44 % (3834556)Termination phase: shuffling
% 0.63/0.44 % (3834556)Time elapsed: 0.004 s
% 0.63/0.44 % (3834556)Peak memory usage: 10 MB
% 0.63/0.44 % (3834556)Instructions burned: 15 (million)
% 0.63/0.44 % (3834554)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2370923359:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.63/0.44 % (3834555)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2413057777:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.63/0.44 % (3834554)Instruction limit reached!
% 0.63/0.44 % (3834554)------------------------------
% 0.63/0.44 % (3834554)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.44 % (3834554)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.44 % (3834554)CaDiCaL version: 2.1.3
% 0.63/0.44 % (3834554)Termination reason: Instruction limit
% 0.63/0.44 % (3834554)Termination phase: shuffling
% 0.63/0.44 % (3834554)Time elapsed: 0.003 s
% 0.63/0.44 % (3834554)Peak memory usage: 10 MB
% 0.63/0.44 % (3834554)Instructions burned: 5 (million)
% 0.63/0.44 % (3834555)Instruction limit reached!
% 0.63/0.44 % (3834555)------------------------------
% 0.63/0.44 % (3834555)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.44 % (3834555)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.44 % (3834555)CaDiCaL version: 2.1.3
% 0.63/0.44 % (3834555)Termination reason: Instruction limit
% 0.63/0.44 % (3834555)Termination phase: shuffling
% 0.63/0.44 % (3834555)Time elapsed: 0.004 s
% 0.63/0.44 % (3834555)Peak memory usage: 10 MB
% 0.63/0.44 % (3834555)Instructions burned: 8 (million)
% 0.63/0.44 % (3834544)Instruction limit reached!
% 0.63/0.44 % (3834544)------------------------------
% 0.63/0.44 % (3834544)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.44 % (3834544)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.44 % (3834544)CaDiCaL version: 2.1.3
% 0.63/0.44 % (3834544)Termination reason: Instruction limit
% 0.63/0.44 % (3834544)Termination phase: Property scanning
% 0.63/0.44 % (3834544)Time elapsed: 0.036 s
% 0.63/0.44 % (3834544)Peak memory usage: 12 MB
% 0.63/0.44 % (3834544)Instructions burned: 77 (million)
% 0.63/0.44 % (3834558)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
% 0.63/0.44 % (3834558)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.63/0.44 % (3834560)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=2235728208:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.63/0.44 % (3834558)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3193583319:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.63/0.44 % (3834564)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.35/0.47 % (3834563)lrs+10_1_si=on:cs=on:random_seed=1325221472:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 1.35/0.47 % (3834564)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=2889462311:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 1.35/0.47 % (3834558)Instruction limit reached!
% 1.35/0.47 % (3834558)------------------------------
% 1.35/0.47 % (3834558)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.35/0.47 % (3834558)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.35/0.47 % (3834558)CaDiCaL version: 2.1.3
% 1.35/0.47 % (3834558)Termination reason: Instruction limit
% 1.35/0.47 % (3834558)Termination phase: shuffling
% 1.35/0.47 % (3834558)Time elapsed: 0.013 s
% 1.35/0.47 % (3834558)Peak memory usage: 10 MB
% 1.35/0.47 % (3834558)Instructions burned: 28 (million)
% 1.35/0.47 % (3834565)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=3176732716:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 1.35/0.47 % (3834564)Instruction limit reached!
% 1.35/0.47 % (3834564)------------------------------
% 1.35/0.47 % (3834564)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.35/0.47 % (3834564)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.35/0.47 % (3834564)CaDiCaL version: 2.1.3
% 1.35/0.47 % (3834564)Termination reason: Instruction limit
% 1.35/0.47 % (3834564)Termination phase: shuffling
% 1.35/0.47 % (3834564)Time elapsed: 0.002 s
% 1.35/0.47 % (3834564)Peak memory usage: 10 MB
% 1.35/0.47 % (3834564)Instructions burned: 3 (million)
% 1.35/0.47 % (3834563)Instruction limit reached!
% 1.35/0.47 % (3834563)------------------------------
% 1.35/0.47 % (3834563)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.35/0.47 % (3834563)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.35/0.47 % (3834563)CaDiCaL version: 2.1.3
% 1.35/0.47 % (3834563)Termination reason: Instruction limit
% 1.35/0.47 % (3834563)Termination phase: shuffling
% 1.35/0.47 % (3834563)Time elapsed: 0.005 s
% 1.35/0.47 % (3834563)Peak memory usage: 10 MB
% 1.35/0.47 % (3834563)Instructions burned: 10 (million)
% 1.35/0.47 % (3834560)Instruction limit reached!
% 1.35/0.47 % (3834560)------------------------------
% 1.35/0.47 % (3834560)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.35/0.47 % (3834560)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.35/0.47 % (3834560)CaDiCaL version: 2.1.3
% 1.35/0.47 % (3834560)Termination reason: Instruction limit
% 1.35/0.47 % (3834560)Termination phase: Property scanning
% 1.35/0.47 % (3834560)Time elapsed: 0.020 s
% 1.35/0.47 % (3834560)Peak memory usage: 11 MB
% 1.35/0.47 % (3834560)Instructions burned: 87 (million)
% 1.35/0.47 % (3834579)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1777539825:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/327Mi)
% 1.35/0.47 % (3834575)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=968787807:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 1.35/0.47 % (3834565)Instruction limit reached!
% 1.35/0.47 % (3834565)------------------------------
% 1.35/0.47 % (3834565)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.35/0.47 % (3834565)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.35/0.47 % (3834577)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=805875656:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/25Mi)
% 1.35/0.47 % (3834565)CaDiCaL version: 2.1.3
% 1.35/0.47 % (3834565)Termination reason: Instruction limit
% 1.35/0.47 % (3834565)Termination phase: Property scanning
% 1.35/0.47 % (3834565)Time elapsed: 0.019 s
% 1.35/0.47 % (3834565)Peak memory usage: 11 MB
% 1.35/0.47 % (3834565)Instructions burned: 40 (million)
% 1.35/0.47 % (3834578)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=408600881:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2999 on theBenchmark for (2999ds/14Mi)
% 1.35/0.47 % (3834545)Instruction limit reached!
% 1.35/0.47 % (3834545)------------------------------
% 1.35/0.47 % (3834545)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.35/0.47 % (3834545)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.35/0.52 % (3834545)CaDiCaL version: 2.1.3
% 1.35/0.52 % (3834545)Termination reason: Instruction limit
% 1.35/0.52 % (3834545)Termination phase: Saturation
% 1.35/0.52 % (3834545)Time elapsed: 0.079 s
% 1.35/0.52 % (3834545)Peak memory usage: 14 MB
% 1.35/0.52 % (3834545)Instructions burned: 157 (million)
% 1.35/0.52 % (3834578)Instruction limit reached!
% 1.35/0.52 % (3834578)------------------------------
% 1.35/0.52 % (3834578)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.35/0.52 % (3834578)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.35/0.52 % (3834578)CaDiCaL version: 2.1.3
% 1.35/0.52 % (3834578)Termination reason: Instruction limit
% 1.35/0.52 % (3834578)Termination phase: shuffling
% 1.35/0.52 % (3834578)Time elapsed: 0.007 s
% 1.35/0.52 % (3834578)Peak memory usage: 10 MB
% 1.35/0.52 % (3834578)Instructions burned: 15 (million)
% 1.35/0.52 % (3834577)Instruction limit reached!
% 1.35/0.52 % (3834577)------------------------------
% 1.35/0.52 % (3834577)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.35/0.52 % (3834577)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.35/0.52 % (3834577)CaDiCaL version: 2.1.3
% 1.35/0.52 % (3834577)Termination reason: Instruction limit
% 1.35/0.52 % (3834577)Termination phase: Property scanning
% 1.35/0.52 % (3834577)Time elapsed: 0.013 s
% 1.35/0.52 % (3834577)Peak memory usage: 10 MB
% 1.35/0.52 % (3834577)Instructions burned: 27 (million)
% 1.35/0.52 % (3834585)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=1594967617:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.35/0.52 % (3834588)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=915687202: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)
% 1.35/0.52 % (3834588)Instruction limit reached!
% 1.35/0.52 % (3834588)------------------------------
% 1.35/0.52 % (3834588)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.35/0.52 % (3834588)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.35/0.52 % (3834588)CaDiCaL version: 2.1.3
% 1.35/0.52 % (3834588)Termination reason: Instruction limit
% 1.35/0.52 % (3834588)Termination phase: shuffling
% 1.35/0.52 % (3834588)Time elapsed: 0.002 s
% 1.35/0.52 % (3834588)Peak memory usage: 10 MB
% 1.35/0.52 % (3834588)Instructions burned: 3 (million)
% 1.35/0.52 % (3834585)Instruction limit reached!
% 1.35/0.52 % (3834585)------------------------------
% 1.35/0.52 % (3834585)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.35/0.52 % (3834585)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.35/0.52 % (3834585)CaDiCaL version: 2.1.3
% 1.35/0.52 % (3834585)Termination reason: Instruction limit
% 1.35/0.52 % (3834585)Termination phase: shuffling
% 1.35/0.52 % (3834585)Time elapsed: 0.008 s
% 1.35/0.52 % (3834585)Peak memory usage: 10 MB
% 1.35/0.52 % (3834585)Instructions burned: 15 (million)
% 1.35/0.52 % (3834589)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=4091030103:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.35/0.52 % (3834592)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=654015027:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.35/0.52 % (3834604)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
% 1.35/0.52 % (3834604)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.35/0.52 % (3834592)Instruction limit reached!
% 1.35/0.52 % (3834592)------------------------------
% 1.35/0.52 % (3834592)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.35/0.52 % (3834592)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.35/0.52 % (3834592)CaDiCaL version: 2.1.3
% 1.35/0.52 % (3834592)Termination reason: Instruction limit
% 1.35/0.52 % (3834592)Termination phase: Property scanning
% 1.35/0.52 % (3834592)Time elapsed: 0.012 s
% 1.35/0.52 % (3834592)Peak memory usage: 10 MB
% 1.35/0.52 % (3834592)Instructions burned: 27 (million)
% 1.35/0.52 % (3834589)Instruction limit reached!
% 1.35/0.52 % (3834589)------------------------------
% 1.35/0.52 % (3834589)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.35/0.52 % (3834589)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.35/0.52 % (3834589)CaDiCaL version: 2.1.3
% 1.35/0.52 % (3834589)Termination reason: Instruction limit
% 1.35/0.52 % (3834589)Termination phase: Property scanning
% 1.35/0.52 % (3834589)Time elapsed: 0.016 s
% 1.35/0.52 % (3834589)Peak memory usage: 10 MB
% 1.35/0.52 % (3834589)Instructions burned: 35 (million)
% 1.35/0.52 % (3834604)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=1887999745:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.35/0.52 % (3834602)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=3868303774:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.35/0.52 % (3834604)Instruction limit reached!
% 1.35/0.52 % (3834604)------------------------------
% 1.35/0.52 % (3834604)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.35/0.52 % (3834604)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.35/0.52 % (3834604)CaDiCaL version: 2.1.3
% 1.35/0.52 % (3834604)Termination reason: Instruction limit
% 1.35/0.52 % (3834604)Termination phase: shuffling
% 1.35/0.52 % (3834604)Time elapsed: 0.008 s
% 1.35/0.52 % (3834604)Peak memory usage: 10 MB
% 1.35/0.52 % (3834604)Instructions burned: 16 (million)
% 1.35/0.52 % (3834617)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.35/0.52 % (3834618)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=2026453363:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.35/0.52 % (3834617)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=4148322661:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.35/0.52 % (3834617)Instruction limit reached!
% 1.35/0.52 % (3834617)------------------------------
% 1.35/0.52 % (3834617)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.35/0.52 % (3834617)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.35/0.52 % (3834617)CaDiCaL version: 2.1.3
% 1.35/0.52 % (3834617)Termination reason: Instruction limit
% 1.35/0.52 % (3834617)Termination phase: shuffling
% 1.35/0.52 % (3834617)Time elapsed: 0.005 s
% 1.35/0.52 % (3834617)Peak memory usage: 10 MB
% 1.35/0.52 % (3834617)Instructions burned: 9 (million)
% 1.35/0.52 % (3834627)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=268313050:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 1.35/0.52 % (3834602)Instruction limit reached!
% 1.35/0.52 % (3834602)------------------------------
% 1.35/0.52 % (3834602)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.35/0.52 % (3834602)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.35/0.52 % (3834602)CaDiCaL version: 2.1.3
% 1.35/0.52 % (3834602)Termination reason: Instruction limit
% 1.35/0.52 % (3834602)Termination phase: Property scanning
% 1.35/0.52 % (3834602)Time elapsed: 0.030 s
% 1.35/0.52 % (3834602)Peak memory usage: 12 MB
% 1.35/0.52 % (3834602)Instructions burned: 60 (million)
% 1.35/0.52 % (3834627)Instruction limit reached!
% 1.35/0.52 % (3834627)------------------------------
% 1.35/0.52 % (3834627)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.35/0.52 % (3834627)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.35/0.52 % (3834627)CaDiCaL version: 2.1.3
% 1.35/0.52 % (3834627)Termination reason: Instruction limit
% 1.35/0.52 % (3834627)Termination phase: shuffling
% 1.35/0.52 % (3834627)Time elapsed: 0.004 s
% 1.35/0.52 % (3834627)Peak memory usage: 10 MB
% 1.35/0.52 % (3834627)Instructions burned: 8 (million)
% 1.35/0.52 % (3834618)Instruction limit reached!
% 1.35/0.52 % (3834618)------------------------------
% 1.35/0.52 % (3834618)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.35/0.52 % (3834618)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.35/0.52 % (3834618)CaDiCaL version: 2.1.3
% 1.35/0.52 % (3834618)Termination reason: Instruction limit
% 1.35/0.52 % (3834618)Termination phase: Property scanning
% 1.35/0.52 % (3834618)Time elapsed: 0.015 s
% 1.35/0.52 % (3834618)Peak memory usage: 10 MB
% 1.35/0.52 % (3834618)Instructions burned: 33 (million)
% 1.35/0.52 % (3834579)Instruction limit reached!
% 1.35/0.52 % (3834579)------------------------------
% 1.35/0.52 % (3834579)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.35/0.52 % (3834579)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.35/0.52 % (3834579)CaDiCaL version: 2.1.3
% 1.35/0.52 % (3834579)Termination reason: Instruction limit
% 1.35/0.52 % (3834579)Termination phase: Saturation
% 1.35/0.52 % (3834579)Time elapsed: 0.090 s
% 1.35/0.52 % (3834579)Peak memory usage: 15 MB
% 1.35/0.52 % (3834579)Instructions burned: 328 (million)
% 1.35/0.52 % (3834637)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=4123633301:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.35/0.52 % (3834645)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=3687463008:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/193Mi)
% 1.35/0.52 % (3834642)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=2250266830:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 1.35/0.52 % (3834641)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=644318613:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 1.35/0.52 % (3834643)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=3020668213:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/143Mi)
% 1.35/0.52 % (3834637)Instruction limit reached!
% 1.35/0.52 % (3834637)------------------------------
% 1.35/0.52 % (3834637)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.35/0.52 % (3834637)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.35/0.52 % (3834637)CaDiCaL version: 2.1.3
% 1.35/0.52 % (3834637)Termination reason: Instruction limit
% 1.35/0.52 % (3834637)Termination phase: shuffling
% 1.35/0.52 % (3834637)Time elapsed: 0.010 s
% 1.35/0.52 % (3834637)Peak memory usage: 10 MB
% 1.35/0.52 % (3834637)Instructions burned: 23 (million)
% 1.35/0.52 % (3834641)Instruction limit reached!
% 1.35/0.52 % (3834641)------------------------------
% 1.35/0.52 % (3834641)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.35/0.52 % (3834641)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.35/0.52 % (3834641)CaDiCaL version: 2.1.3
% 1.35/0.52 % (3834641)Termination reason: Instruction limit
% 1.35/0.52 % (3834641)Termination phase: Property scanning
% 1.35/0.52 % (3834641)Time elapsed: 0.009 s
% 1.35/0.52 % (3834641)Peak memory usage: 10 MB
% 1.35/0.52 % (3834641)Instructions burned: 20 (million)
% 1.35/0.52 % (3834575)Instruction limit reached!
% 1.35/0.52 % (3834575)------------------------------
% 1.35/0.52 % (3834575)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.35/0.52 % (3834575)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.35/0.52 % (3834575)CaDiCaL version: 2.1.3
% 1.35/0.52 % (3834575)Termination reason: Instruction limit
% 1.35/0.52 % (3834575)Termination phase: Saturation
% 1.35/0.52 % (3834575)Time elapsed: 0.119 s
% 1.35/0.52 % (3834575)Peak memory usage: 13 MB
% 1.35/0.52 % (3834575)Instructions burned: 250 (million)
% 1.35/0.52 % (3834654)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=4276717752:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 1.35/0.52 % (3834655)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.35/0.52 % (3834542) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3834534-3834542"...
% 1.35/0.52 % (3834655)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1861017187:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 1.35/0.52 % (3834542)...printing done.
% 1.35/0.52 % (3834542)Refutation found. Thanks to Tanya!
% 1.35/0.52 % SZS status Theorem for theBenchmark
% 1.35/0.52 % SZS output start Proof for theBenchmark
% 1.35/0.52 thf(type_def_5, type, list: $tType > $tType).
% 1.35/0.52 thf(type_def_6, type, set: $tType > $tType).
% 1.35/0.52 thf(type_def_7, type, val: $tType).
% 1.35/0.52 thf(type_def_8, type, sTfun: ($tType * $tType) > $tType).
% 1.35/0.52 thf(func_def_0, type, type: !>[X0: $tType]:($o)).
% 1.35/0.52 thf(func_def_1, type, bot: !>[X0: $tType]:($o)).
% 1.35/0.52 thf(func_def_2, type, ord: !>[X0: $tType]:($o)).
% 1.35/0.52 thf(func_def_3, type, order: !>[X0: $tType]:($o)).
% 1.35/0.52 thf(func_def_4, type, group_add: !>[X0: $tType]:($o)).
% 1.35/0.52 thf(func_def_5, type, no_bot: !>[X0: $tType]:($o)).
% 1.35/0.52 thf(func_def_6, type, no_top: !>[X0: $tType]:($o)).
% 1.35/0.52 thf(func_def_7, type, linorder: !>[X0: $tType]:($o)).
% 1.35/0.52 thf(func_def_8, type, preorder: !>[X0: $tType]:($o)).
% 1.35/0.52 thf(func_def_9, type, wellorder: !>[X0: $tType]:($o)).
% 1.35/0.52 thf(func_def_10, type, complete_Sup: !>[X0: $tType]:($o)).
% 1.35/0.52 thf(func_def_11, type, dense_order: !>[X0: $tType]:($o)).
% 1.35/0.52 thf(func_def_12, type, boolean_algebra: !>[X0: $tType]:($o)).
% 1.35/0.52 thf(func_def_13, type, semilattice_sup: !>[X0: $tType]:($o)).
% 1.35/0.52 thf(func_def_14, type, dense_linorder: !>[X0: $tType]:($o)).
% 1.35/0.52 thf(func_def_15, type, ordered_ab_group_add: !>[X0: $tType]:($o)).
% 1.35/0.52 thf(func_def_16, type, comple187826305attice: !>[X0: $tType]:($o)).
% 1.35/0.52 thf(func_def_17, type, condit1037483654norder: !>[X0: $tType]:($o)).
% 1.35/0.52 thf(func_def_18, type, uminus_uminus: !>[X0: $tType]:((X0 > X0))).
% 1.35/0.52 thf(func_def_19, type, if: !>[X0: $tType]:(($o > X0 > X0 > X0))).
% 1.35/0.52 thf(func_def_20, type, sup_sup: !>[X0: $tType]:((X0 > X0 > X0))).
% 1.35/0.52 thf(func_def_21, type, rec_list: !>[X0: $tType, X1: $tType]:((X0 > (X1 > list @ X1 > X0 > X0) > list @ X1 > X0))).
% 1.35/0.52 thf(func_def_22, type, swap_args2: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > X1 > X0 > X2))).
% 1.35/0.52 thf(func_def_23, type, ord_less: !>[X0: $tType]:((X0 > X0 > $o))).
% 1.35/0.52 thf(func_def_24, type, ord_less_eq: !>[X0: $tType]:((X0 > X0 > $o))).
% 1.35/0.52 thf(func_def_25, type, order_Greatest: !>[X0: $tType]:(((X0 > $o) > X0))).
% 1.35/0.52 thf(func_def_26, type, order_antimono: !>[X0: $tType, X1: $tType]:(((X0 > X1) > $o))).
% 1.35/0.52 thf(func_def_27, type, order_strict_mono: !>[X0: $tType, X1: $tType]:(((X0 > X1) > $o))).
% 1.35/0.52 thf(func_def_28, type, refine111645177_ALIGN: !>[X0: $tType, X1: $tType]:((X0 > X1 > $o))).
% 1.35/0.52 thf(func_def_29, type, refine574149253T_SIMP: !>[X0: $tType]:((X0 > X0 > $o))).
% 1.35/0.52 thf(func_def_30, type, refine_cont: !>[X0: $tType, X1: $tType]:(((X0 > X1) > $o))).
% 1.35/0.52 thf(func_def_31, type, refine1150083786ection: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X1 > X0) > $o))).
% 1.35/0.52 thf(func_def_32, type, refine_inf_distrib: !>[X0: $tType, X1: $tType]:(((X0 > X1) > $o))).
% 1.35/0.52 thf(func_def_33, type, refine_strict: !>[X0: $tType, X1: $tType]:(((X0 > X1) > $o))).
% 1.35/0.52 thf(func_def_34, type, refine551993528up_loc: !>[X0: $tType]:(((X0 > X0 > $o) > $o))).
% 1.35/0.52 thf(func_def_35, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 1.35/0.52 thf(func_def_36, type, set_ord_atLeast: !>[X0: $tType]:((X0 > set @ X0))).
% 1.35/0.52 thf(func_def_37, type, set_or331188842AtMost: !>[X0: $tType]:((X0 > X0 > set @ X0))).
% 1.35/0.52 thf(func_def_38, type, set_ord_atMost: !>[X0: $tType]:((X0 > set @ X0))).
% 1.35/0.52 thf(func_def_39, type, set_ord_greaterThan: !>[X0: $tType]:((X0 > set @ X0))).
% 1.35/0.52 thf(func_def_40, type, set_or578182835ssThan: !>[X0: $tType]:((X0 > X0 > set @ X0))).
% 1.35/0.52 thf(func_def_41, type, set_ord_lessThan: !>[X0: $tType]:((X0 > set @ X0))).
% 1.35/0.52 thf(func_def_42, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 1.35/0.52 thf(func_def_43, type, p: set @ val).
% 1.35/0.52 thf(func_def_44, type, scc: set @ val).
% 1.35/0.52 thf(func_def_48, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 1.35/0.52 thf(func_def_49, type, db0: !>[X0: $tType]:(X0)).
% 1.35/0.52 thf(func_def_50, type, db2: !>[X0: $tType]:(X0)).
% 1.35/0.52 thf(func_def_51, type, db1: !>[X0: $tType]:(X0)).
% 1.35/0.52 thf(func_def_52, type, db3: !>[X0: $tType]:(X0)).
% 1.35/0.52 thf(func_def_53, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 1.35/0.52 thf(func_def_54, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 1.35/0.52 thf(func_def_55, type, vAND: ($o > $o > $o)).
% 1.35/0.52 thf(func_def_56, type, vNOT: ($o > $o)).
% 1.35/0.52 thf(func_def_57, type, vOR: ($o > $o > $o)).
% 1.35/0.52 thf(func_def_58, type, vIMP: ($o > $o > $o)).
% 1.35/0.52 thf(func_def_59, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 1.35/0.52 thf(func_def_60, type, sP0: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 1.35/0.52 thf(func_def_61, type, sP1: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 1.35/0.52 thf(func_def_62, type, sK2: !>[X0: $tType]:((X0 > X0))).
% 1.35/0.52 thf(func_def_63, type, sK3: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 1.35/0.52 thf(func_def_64, type, sK4: !>[X0: $tType]:(((X0 > $o) > X0 > X0))).
% 1.35/0.52 thf(func_def_65, type, sK5: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > X1) > X0))).
% 1.35/0.52 thf(func_def_66, type, sK6: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 1.35/0.52 thf(func_def_67, type, sK7: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 1.35/0.52 thf(func_def_68, type, sK8: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 1.35/0.52 thf(func_def_69, type, sK9: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 1.35/0.52 thf(func_def_70, type, sK10: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 1.35/0.52 thf(func_def_71, type, sK11: !>[X0: $tType]:(((X0 > $o) > X0))).
% 1.35/0.52 thf(func_def_72, type, sK12: !>[X0: $tType]:((X0 > X0 > X0 > X0))).
% 1.35/0.52 thf(func_def_73, type, sK13: !>[X0: $tType]:((X0 > X0))).
% 1.35/0.52 thf(func_def_74, type, sK14: !>[X0: $tType]:((X0 > X0 > X0 > X0))).
% 1.35/0.52 thf(func_def_75, type, sK15: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > (X1 > X0) > (X1 > X0) > X1))).
% 1.35/0.52 thf(func_def_76, type, sK16: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 1.35/0.52 thf(func_def_77, type, sK17: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 1.35/0.52 thf(func_def_78, type, sK18: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > X1) > X0))).
% 1.35/0.52 thf(func_def_79, type, sK19: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > X1) > X0))).
% 1.35/0.52 thf(func_def_80, type, sK20: !>[X0: $tType]:((set @ X0 > set @ X0 > X0))).
% 1.35/0.52 thf(func_def_81, type, sK21: !>[X0: $tType]:((X0 > (X0 > $o) > X0))).
% 1.35/0.52 thf(func_def_82, type, sK22: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X0 > list @ X0 > (X2 > X1) > X2 > X1) > (X3 > X1) > (X0 > list @ X0 > (X2 > X3) > X2 > X3) > X0))).
% 1.35/0.52 thf(func_def_83, type, sK23: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X0 > list @ X0 > (X2 > X1) > X2 > X1) > (X3 > X1) > (X0 > list @ X0 > (X2 > X3) > X2 > X3) > list @ X0))).
% 1.35/0.52 thf(func_def_84, type, sK24: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X0 > list @ X0 > (X2 > X1) > X2 > X1) > (X3 > X1) > (X0 > list @ X0 > (X2 > X3) > X2 > X3) > X2 > X1))).
% 1.35/0.52 thf(func_def_85, type, sK25: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X0 > list @ X0 > (X2 > X1) > X2 > X1) > (X3 > X1) > (X0 > list @ X0 > (X2 > X3) > X2 > X3) > X2))).
% 1.35/0.52 thf(func_def_86, type, sK26: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X0 > list @ X0 > (X2 > X1) > X2 > X1) > (X3 > X1) > (X0 > list @ X0 > (X2 > X3) > X2 > X3) > X2 > X3))).
% 1.35/0.52 thf(func_def_87, type, sK27: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > X0) > (X1 > X2) > (X1 > X0) > X1))).
% 1.35/0.52 thf(func_def_88, type, sK28: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 1.35/0.52 thf(func_def_89, type, sK29: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 1.35/0.52 thf(func_def_90, type, sK30: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 1.35/0.52 thf(func_def_91, type, sK31: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 1.35/0.52 thf(func_def_92, type, sK32: !>[X0: $tType]:((X0 > X0 > X0))).
% 1.35/0.52 thf(func_def_93, type, sK33: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 1.35/0.52 thf(func_def_94, type, sK34: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 1.35/0.52 thf(func_def_95, type, sK35: !>[X0: $tType]:((X0 > X0))).
% 1.35/0.52 thf(func_def_96, type, sK36: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 1.35/0.52 thf(func_def_97, type, sK37: !>[X0: $tType]:((X0 > X0))).
% 1.35/0.52 thf(func_def_98, type, sK38: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > X1) > (X0 > X1) > (X2 > X0) > X2))).
% 1.35/0.52 thf(func_def_99, type, sK39: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 1.35/0.52 thf(func_def_100, type, sK40: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 1.35/0.52 thf(func_def_101, type, sK41: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 1.35/0.52 thf(func_def_102, type, sK42: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 1.35/0.52 thf(func_def_103, type, sK43: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 1.35/0.52 thf(func_def_104, type, sK44: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 1.35/0.52 thf(func_def_105, type, sK45: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 1.35/0.52 thf(func_def_106, type, sK46: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 1.35/0.52 thf(func_def_107, type, sK47: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 1.35/0.52 thf(func_def_108, type, sK48: !>[X0: $tType]:((X0 > (X0 > $o) > X0))).
% 1.35/0.52 thf(func_def_109, type, sK49: !>[X0: $tType]:((X0 > (X0 > $o) > X0))).
% 1.35/0.52 thf(func_def_110, type, sK50: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 1.35/0.52 thf(func_def_111, type, sK51: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 1.35/0.52 thf(func_def_112, type, sK52: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 1.35/0.52 thf(func_def_113, type, sK53: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 1.35/0.52 thf(func_def_114, type, sK54: !>[X0: $tType]:((set @ X0 > (X0 > $o) > X0))).
% 1.35/0.52 thf(func_def_115, type, sK55: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 1.35/0.52 thf(func_def_116, type, sK56: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 1.35/0.52 thf(func_def_117, type, sK57: !>[X0: $tType]:((X0 > X0))).
% 1.35/0.52 thf(func_def_118, type, sK58: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X0 > X1) > X0))).
% 1.35/0.52 thf(func_def_119, type, sK59: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X0 > X1) > X1))).
% 1.35/0.52 thf(func_def_120, type, sK60: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 1.35/0.52 thf(func_def_121, type, sK61: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 1.35/0.52 thf(func_def_122, type, sK62: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 1.35/0.52 thf(func_def_123, type, sK63: !>[X0: $tType]:((X0 > X0 > X0))).
% 1.35/0.52 thf(func_def_124, type, sK64: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 1.35/0.52 thf(func_def_125, type, sK65: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 1.35/0.52 thf(func_def_126, type, sK66: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 1.35/0.52 thf(func_def_127, type, sK67: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 1.35/0.52 thf(func_def_128, type, sK68: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 1.35/0.52 thf(func_def_129, type, sK69: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 1.35/0.52 thf(func_def_130, type, sK70: !>[X0: $tType]:((X0 > X0))).
% 1.35/0.52 thf(func_def_131, type, sK71: !>[X0: $tType]:(((X0 > $o) > X0 > X0 > X0))).
% 1.35/0.52 thf(func_def_132, type, sK72: !>[X0: $tType]:((X0 > (X0 > $o) > X0 > X0))).
% 1.35/0.52 thf(func_def_133, type, sK73: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 1.35/0.52 thf(func_def_134, type, sK74: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 1.35/0.52 thf(func_def_135, type, sK75: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 1.35/0.52 thf(func_def_136, type, sK76: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 1.35/0.52 thf(func_def_137, type, sK77: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 1.35/0.52 thf(func_def_138, type, sK78: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 1.35/0.52 thf(func_def_139, type, sK79: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 1.35/0.52 thf(func_def_140, type, sK80: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 1.35/0.52 thf(func_def_141, type, sK81: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 1.35/0.52 thf(func_def_142, type, sK82: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 1.35/0.52 thf(func_def_143, type, sK83: !>[X0: $tType]:((X0 > X0 > X0))).
% 1.35/0.52 thf(f1,axiom,(
% 1.35/0.52 ! [X3 : val] : ((member @ val @ X3 @ scc) => (member @ val @ X3 @ p))),
% 1.35/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0__092_060open_062_092_060And_062x_O_Ax_A_092_060in_062_Ascc_A_092_060Longrightarrow_062_Ax_A_092_060in_062_AP_092_060close_062)).
% 1.35/0.52 thf(f2,axiom,(
% 1.35/0.52 ! [X0 : $tType,X2 : set @ X0,X1 : set @ X0] : (! [X3 : X0] : ((member @ X0 @ X3 @ X1) => (member @ X0 @ X3 @ X2)) => (ord_less_eq @ set @ X0 @ X1 @ X2))),
% 1.35/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1_subsetI)).
% 1.35/0.52 thf(f289,conjecture,(
% 1.35/0.52 (ord_less_eq @ set @ val @ scc @ p)),
% 1.35/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)).
% 1.35/0.52 thf(f290,negated_conjecture,(
% 1.35/0.52 ~(ord_less_eq @ set @ val @ scc @ p)),
% 1.35/0.52 inference(negated_conjecture,[status(cth)],[f289])).
% 1.35/0.52 thf(f578,plain,(
% 1.35/0.52 ! [X0 : $tType,X1 : set @ X0,X2 : set @ X0] : (! [X3 : X0] : ((member @ X0 @ X3 @ X2) => (member @ X0 @ X3 @ X1)) => (ord_less_eq @ set @ X0 @ X2 @ X1))),
% 1.35/0.52 inference(rectify,[],[f2])).
% 1.35/0.52 thf(f579,plain,(
% 1.35/0.52 ! [X0 : $tType,X1 : set @ X0,X2 : set @ X0] : (! [X3 : X0] : ((((member @ X0 @ X3 @ X2)) = $true) => (((member @ X0 @ X3 @ X1)) = $true)) => (((ord_less_eq @ set @ X0 @ X2 @ X1)) = $true))),
% 1.35/0.52 inference(fool_elimination,[],[f578])).
% 1.35/0.52 thf(f637,plain,(
% 1.35/0.52 ! [X0 : val] : ((member @ val @ X0 @ scc) => (member @ val @ X0 @ p))),
% 1.35/0.52 inference(rectify,[],[f1])).
% 1.35/0.52 thf(f638,plain,(
% 1.35/0.52 ! [X0 : val] : (($true = ((member @ val @ X0 @ scc))) => ($true = ((member @ val @ X0 @ p))))),
% 1.35/0.52 inference(fool_elimination,[],[f637])).
% 1.35/0.52 thf(f652,plain,(
% 1.35/0.52 ~(ord_less_eq @ set @ val @ scc @ p)),
% 1.35/0.52 inference(rectify,[],[f290])).
% 1.35/0.52 thf(f653,plain,(
% 1.35/0.52 ~ (((ord_less_eq @ set @ val @ scc @ p)) = $true)),
% 1.35/0.52 inference(fool_elimination,[],[f652])).
% 1.35/0.52 thf(f892,plain,(
% 1.35/0.52 (((ord_less_eq @ set @ val @ scc @ p)) != $true)),
% 1.35/0.52 inference(flattening,[],[f653])).
% 1.35/0.52 thf(f995,plain,(
% 1.35/0.52 ! [X0 : val] : (($true != ((member @ val @ X0 @ scc))) | ($true = ((member @ val @ X0 @ p))))),
% 1.35/0.52 inference(ennf_transformation,[],[f638])).
% 1.35/0.52 thf(f1065,plain,(
% 1.35/0.52 ! [X0 : $tType,X1 : set @ X0,X2 : set @ X0] : (? [X3 : X0] : ((((member @ X0 @ X3 @ X1)) != $true) & (((member @ X0 @ X3 @ X2)) = $true)) | (((ord_less_eq @ set @ X0 @ X2 @ X1)) = $true))),
% 1.35/0.52 inference(ennf_transformation,[],[f579])).
% 1.35/0.52 thf(f1304,plain,(
% 1.35/0.52 ! [X0 : $tType,X1 : set @ X0,X2 : set @ X0] : ((($true != ((member @ X0 @ (sK20 @ X0 @ X2 @ X1) @ X1))) & (((member @ X0 @ (sK20 @ X0 @ X2 @ X1) @ X2)) = $true)) | (((ord_less_eq @ set @ X0 @ X2 @ X1)) = $true))),
% 1.35/0.52 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP]),skolemize(X2,sK2 @ X0 @ X1)],[f1065])).
% 1.35/0.52 thf(f1600,plain,(
% 1.35/0.52 (((ord_less_eq @ set @ val @ scc @ p)) != $true)),
% 1.35/0.52 inference(cnf_transformation,[],[f892])).
% 1.35/0.52 thf(f1607,plain,(
% 1.35/0.52 ( ! [X0 : $tType,X2 : set @ X0,X1 : set @ X0] : ((((member @ X0 @ (sK20 @ X0 @ X2 @ X1) @ X2)) = $true) | (((ord_less_eq @ set @ X0 @ X2 @ X1)) = $true)) )),
% 1.35/0.52 inference(cnf_transformation,[],[f1304])).
% 1.35/0.52 thf(f1608,plain,(
% 1.35/0.52 ( ! [X0 : $tType,X2 : set @ X0,X1 : set @ X0] : (($true != ((member @ X0 @ (sK20 @ X0 @ X2 @ X1) @ X1))) | (((ord_less_eq @ set @ X0 @ X2 @ X1)) = $true)) )),
% 1.35/0.52 inference(cnf_transformation,[],[f1304])).
% 1.35/0.52 thf(f1897,plain,(
% 1.35/0.52 ( ! [X0 : val] : (($true = ((member @ val @ X0 @ p))) | ($true != ((member @ val @ X0 @ scc)))) )),
% 1.35/0.52 inference(cnf_transformation,[],[f995])).
% 1.35/0.52 thf(f2040,definition,(
% 1.35/0.52 spl84_4 <=> (((ord_less_eq @ set @ val @ scc @ p)) = $true)),
% 1.35/0.52 introduced(definition,[new_symbols(definition,[spl84_4])],[avatar_definition])).
% 1.35/0.52 thf(f2042,plain,(
% 1.35/0.52 (((ord_less_eq @ set @ val @ scc @ p)) != $true) | spl84_4),
% 1.35/0.52 inference(avatar_component_clause,[],[f2040])).
% 1.35/0.52 thf(f2043,plain,(
% 1.35/0.52 ~spl84_4),
% 1.35/0.52 inference(avatar_split_clause,[],[f1600,f2040])).
% 1.35/0.52 thf(f3788,plain,(
% 1.35/0.52 ( ! [X0 : set @ val] : (($true = ((ord_less_eq @ set @ val @ X0 @ p))) | ($true != $true) | ($true != ((member @ val @ (sK20 @ val @ X0 @ p) @ scc)))) )),
% 1.35/0.52 inference(superposition,[],[f1608,f1897])).
% 1.35/0.52 thf(f3790,plain,(
% 1.35/0.52 ( ! [X0 : set @ val] : (($true != ((member @ val @ (sK20 @ val @ X0 @ p) @ scc))) | ($true = ((ord_less_eq @ set @ val @ X0 @ p)))) )),
% 1.35/0.52 inference(trivial_inequality_removal,[],[f3788])).
% 1.35/0.52 thf(f3822,plain,(
% 1.35/0.52 (((ord_less_eq @ set @ val @ scc @ p)) = $true) | ($true != $true) | (((ord_less_eq @ set @ val @ scc @ p)) = $true)),
% 1.35/0.52 inference(superposition,[],[f3790,f1607])).
% 1.35/0.52 thf(f3823,plain,(
% 1.35/0.52 (((ord_less_eq @ set @ val @ scc @ p)) = $true) | ($true != $true)),
% 1.35/0.52 inference(duplicate_literal_removal,[],[f3822])).
% 1.35/0.52 thf(f3824,plain,(
% 1.35/0.52 (((ord_less_eq @ set @ val @ scc @ p)) = $true)),
% 1.35/0.52 inference(trivial_inequality_removal,[],[f3823])).
% 1.35/0.52 thf(f3825,plain,(
% 1.35/0.52 $false | spl84_4),
% 1.35/0.52 inference(forward_subsumption_resolution,[],[f3824,f2042])).
% 1.35/0.52 thf(f3826,plain,(
% 1.35/0.52 spl84_4),
% 1.35/0.52 inference(avatar_contradiction_clause,[],[f3825])).
% 1.35/0.52 cnf(s4, plain, ~spl84_4, inference(sat_conversion,[],[f2043])).
% 1.35/0.52 cnf(s36, plain, spl84_4, inference(sat_conversion,[],[f3826])).
% 1.35/0.52 cnf(s37, plain, $false, inference(rat,[],[s4,s36])).
% 1.35/0.52 thf(f3827,plain,(
% 1.35/0.52 $false),
% 1.35/0.52 inference(avatar_sat_refutation,[],[s37])).
% 1.35/0.52 % SZS output end Proof for theBenchmark
% 1.35/0.52 % (3834542)------------------------------
% 1.35/0.52 % (3834542)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.35/0.52 % (3834542)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.35/0.52 % (3834542)CaDiCaL version: 2.1.3
% 1.35/0.52 % (3834542)Termination reason: Refutation
% 1.35/0.52 % (3834542)Time elapsed: 0.202 s
% 1.35/0.52 % (3834542)Peak memory usage: 15 MB
% 1.35/0.52 % (3834542)Instructions burned: 410 (million)
% 1.35/0.52 % (3834534)Success in time 0.241 s
% 1.35/0.52 % Vampire exiting
%------------------------------------------------------------------------------