%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP074^2 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n016.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 08:08:13 AM UTC 2026
% Result : Theorem 0.67s 0.44s
% Output : Refutation 0.67s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ITP074^2 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.17 % Computer : n016.cluster.edu
% 0.08/0.17 % Model : x86_64 x86_64
% 0.08/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.17 % Memory : 8046.5625MB
% 0.08/0.17 % OS : Linux 6.8.0-71-generic
% 0.08/0.17 % CPULimit : 300
% 0.08/0.17 % WCLimit : 300
% 0.08/0.17 % DateTime : Tue Sep 29 19:52:35 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.20 Running higher-order theorem proving
% 0.08/0.25 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
% 0.67/0.40 % (823608)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.67/0.40 % (823613)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=181833151:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.67/0.40 % (823619)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.67/0.40 % (823619)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
% 0.67/0.40 % (823614)lrs+10_16_si=on:nwc=1.5:random_seed=882042176:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.67/0.40 % (823615)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3617860137:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.67/0.40 % (823617)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2215400760:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.67/0.40 % (823616)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=3480649415: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)
% 0.67/0.40 % (823618)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1777488359:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.67/0.40 % (823619)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=1413734170:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.67/0.40 % (823615)Instruction limit reached!
% 0.67/0.40 % (823615)------------------------------
% 0.67/0.40 % (823615)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.40 % (823615)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.40 % (823615)CaDiCaL version: 2.1.3
% 0.67/0.40 % (823615)Termination reason: Instruction limit
% 0.67/0.40 % (823615)Termination phase: shuffling
% 0.67/0.40 % (823615)Time elapsed: 0.002 s
% 0.67/0.40 % (823615)Peak memory usage: 10 MB
% 0.67/0.40 % (823615)Instructions burned: 4 (million)
% 0.67/0.40 % (823614)Instruction limit reached!
% 0.67/0.40 % (823614)------------------------------
% 0.67/0.40 % (823614)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.40 % (823614)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.40 % (823614)CaDiCaL version: 2.1.3
% 0.67/0.40 % (823614)Termination reason: Instruction limit
% 0.67/0.40 % (823614)Termination phase: Property scanning
% 0.67/0.40 % (823614)Time elapsed: 0.009 s
% 0.67/0.40 % (823614)Peak memory usage: 10 MB
% 0.67/0.40 % (823614)Instructions burned: 20 (million)
% 0.67/0.40 % (823617)Instruction limit reached!
% 0.67/0.40 % (823617)------------------------------
% 0.67/0.40 % (823617)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.40 % (823617)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.40 % (823617)CaDiCaL version: 2.1.3
% 0.67/0.40 % (823617)Termination reason: Instruction limit
% 0.67/0.40 % (823617)Termination phase: shuffling
% 0.67/0.40 % (823617)Time elapsed: 0.012 s
% 0.67/0.40 % (823617)Peak memory usage: 10 MB
% 0.67/0.40 % (823617)Instructions burned: 25 (million)
% 0.67/0.40 % (823613)Instruction limit reached!
% 0.67/0.40 % (823613)------------------------------
% 0.67/0.40 % (823613)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.40 % (823613)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.40 % (823613)CaDiCaL version: 2.1.3
% 0.67/0.40 % (823613)Termination reason: Instruction limit
% 0.67/0.40 % (823613)Termination phase: Saturation
% 0.67/0.40 % (823613)Time elapsed: 0.022 s
% 0.67/0.40 % (823613)Peak memory usage: 13 MB
% 0.67/0.40 % (823613)Instructions burned: 88 (million)
% 0.67/0.40 % (823630)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=1178457475:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.67/0.40 % (823627)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1586032635:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.67/0.40 % (823630)Instruction limit reached!
% 0.67/0.43 % (823630)------------------------------
% 0.67/0.43 % (823630)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.43 % (823630)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.43 % (823630)CaDiCaL version: 2.1.3
% 0.67/0.43 % (823630)Termination reason: Instruction limit
% 0.67/0.43 % (823630)Termination phase: Property scanning
% 0.67/0.43 % (823630)Time elapsed: 0.004 s
% 0.67/0.43 % (823630)Peak memory usage: 10 MB
% 0.67/0.43 % (823630)Instructions burned: 15 (million)
% 0.67/0.43 % (823627)Instruction limit reached!
% 0.67/0.43 % (823627)------------------------------
% 0.67/0.43 % (823627)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.43 % (823627)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.43 % (823627)CaDiCaL version: 2.1.3
% 0.67/0.43 % (823627)Termination reason: Instruction limit
% 0.67/0.43 % (823627)Termination phase: shuffling
% 0.67/0.43 % (823627)Time elapsed: 0.001 s
% 0.67/0.43 % (823627)Peak memory usage: 10 MB
% 0.67/0.43 % (823627)Instructions burned: 2 (million)
% 0.67/0.43 % (823628)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=4050009079:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.67/0.43 % (823618)Instruction limit reached!
% 0.67/0.43 % (823618)------------------------------
% 0.67/0.43 % (823618)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.43 % (823618)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.43 % (823618)CaDiCaL version: 2.1.3
% 0.67/0.43 % (823618)Termination reason: Instruction limit
% 0.67/0.43 % (823618)Termination phase: Property scanning
% 0.67/0.43 % (823618)Time elapsed: 0.034 s
% 0.67/0.43 % (823618)Peak memory usage: 12 MB
% 0.67/0.43 % (823618)Instructions burned: 75 (million)
% 0.67/0.43 % (823628)Instruction limit reached!
% 0.67/0.43 % (823628)------------------------------
% 0.67/0.43 % (823628)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.43 % (823628)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.43 % (823628)CaDiCaL version: 2.1.3
% 0.67/0.43 % (823628)Termination reason: Instruction limit
% 0.67/0.43 % (823628)Termination phase: shuffling
% 0.67/0.43 % (823628)Time elapsed: 0.003 s
% 0.67/0.43 % (823628)Peak memory usage: 10 MB
% 0.67/0.43 % (823628)Instructions burned: 7 (million)
% 0.67/0.43 % (823633)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
% 0.67/0.43 % (823633)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.67/0.43 % (823629)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.67/0.43 % (823633)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3526239989:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.67/0.43 % (823629)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2585640841:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.67/0.43 % (823633)Instruction limit reached!
% 0.67/0.43 % (823633)------------------------------
% 0.67/0.43 % (823633)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.43 % (823633)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.43 % (823633)CaDiCaL version: 2.1.3
% 0.67/0.43 % (823633)Termination reason: Instruction limit
% 0.67/0.43 % (823633)Termination phase: Property scanning
% 0.67/0.43 % (823633)Time elapsed: 0.007 s
% 0.67/0.43 % (823633)Peak memory usage: 10 MB
% 0.67/0.43 % (823633)Instructions burned: 31 (million)
% 0.67/0.43 % (823634)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=4209866452:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.67/0.43 % (823637)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.67/0.43 % (823636)lrs+10_1_si=on:cs=on:random_seed=2989216542:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.67/0.44 % (823629)Instruction limit reached!
% 0.67/0.44 % (823629)------------------------------
% 0.67/0.44 % (823629)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.44 % (823629)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.44 % (823629)CaDiCaL version: 2.1.3
% 0.67/0.44 % (823629)Termination reason: Instruction limit
% 0.67/0.44 % (823629)Termination phase: shuffling
% 0.67/0.44 % (823629)Time elapsed: 0.008 s
% 0.67/0.44 % (823629)Peak memory usage: 10 MB
% 0.67/0.44 % (823629)Instructions burned: 8 (million)
% 0.67/0.44 % (823637)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=3639641282:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.67/0.44 % (823640)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=2389892715:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 0.67/0.44 % (823636)Instruction limit reached!
% 0.67/0.44 % (823636)------------------------------
% 0.67/0.44 % (823636)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.44 % (823636)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.44 % (823636)CaDiCaL version: 2.1.3
% 0.67/0.44 % (823636)Termination reason: Instruction limit
% 0.67/0.44 % (823636)Termination phase: shuffling
% 0.67/0.44 % (823636)Time elapsed: 0.004 s
% 0.67/0.44 % (823636)Peak memory usage: 10 MB
% 0.67/0.44 % (823636)Instructions burned: 9 (million)
% 0.67/0.44 % (823637)Instruction limit reached!
% 0.67/0.44 % (823637)------------------------------
% 0.67/0.44 % (823637)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.44 % (823637)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.44 % (823637)CaDiCaL version: 2.1.3
% 0.67/0.44 % (823637)Termination reason: Instruction limit
% 0.67/0.44 % (823637)Termination phase: shuffling
% 0.67/0.44 % (823637)Time elapsed: 0.003 s
% 0.67/0.44 % (823637)Peak memory usage: 10 MB
% 0.67/0.44 % (823637)Instructions burned: 7 (million)
% 0.67/0.44 % (823640)Instruction limit reached!
% 0.67/0.44 % (823640)------------------------------
% 0.67/0.44 % (823640)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.44 % (823640)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.44 % (823640)CaDiCaL version: 2.1.3
% 0.67/0.44 % (823640)Termination reason: Instruction limit
% 0.67/0.44 % (823640)Termination phase: Function definition elimination
% 0.67/0.44 % (823640)Time elapsed: 0.010 s
% 0.67/0.44 % (823640)Peak memory usage: 11 MB
% 0.67/0.44 % (823640)Instructions burned: 43 (million)
% 0.67/0.44 % (823646)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=4039123735:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.67/0.44 % (823647)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=1297901238:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.67/0.44 % (823619)Instruction limit reached!
% 0.67/0.44 % (823619)------------------------------
% 0.67/0.44 % (823619)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.44 % (823619)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.44 % (823619)CaDiCaL version: 2.1.3
% 0.67/0.44 % (823619)Termination reason: Instruction limit
% 0.67/0.44 % (823619)Termination phase: Saturation
% 0.67/0.44 % (823619)Time elapsed: 0.080 s
% 0.67/0.44 % (823619)Peak memory usage: 13 MB
% 0.67/0.44 % (823619)Instructions burned: 164 (million)
% 0.67/0.44 % (823648)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=4140323801:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.67/0.44 % (823647)Instruction limit reached!
% 0.67/0.44 % (823647)------------------------------
% 0.67/0.44 % (823647)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.44 % (823647)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.44 % (823647)CaDiCaL version: 2.1.3
% 0.67/0.44 % (823647)Termination reason: Instruction limit
% 0.67/0.44 % (823647)Termination phase: Property scanning
% 0.67/0.44 % (823647)Time elapsed: 0.008 s
% 0.67/0.44 % (823645)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=2780752873:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 0.67/0.44 % (823647)Peak memory usage: 10 MB
% 0.67/0.44 % (823647)Instructions burned: 16 (million)
% 0.67/0.44 % (823634)Instruction limit reached!
% 0.67/0.44 % (823634)------------------------------
% 0.67/0.44 % (823634)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.44 % (823634)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.44 % (823634)CaDiCaL version: 2.1.3
% 0.67/0.44 % (823634)Termination reason: Instruction limit
% 0.67/0.44 % (823634)Termination phase: Property scanning
% 0.67/0.44 % (823634)Time elapsed: 0.039 s
% 0.67/0.44 % (823634)Peak memory usage: 11 MB
% 0.67/0.44 % (823634)Instructions burned: 90 (million)
% 0.67/0.44 % (823646)Instruction limit reached!
% 0.67/0.44 % (823646)------------------------------
% 0.67/0.44 % (823646)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.44 % (823646)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.44 % (823646)CaDiCaL version: 2.1.3
% 0.67/0.44 % (823646)Termination reason: Instruction limit
% 0.67/0.44 % (823646)Termination phase: SInE selection
% 0.67/0.44 % (823646)Time elapsed: 0.012 s
% 0.67/0.44 % (823646)Peak memory usage: 11 MB
% 0.67/0.44 % (823646)Instructions burned: 26 (million)
% 0.67/0.44 % (823655)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3065016360:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 0.67/0.44 % (823651)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=2357819361:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 0.67/0.44 % (823655)Instruction limit reached!
% 0.67/0.44 % (823655)------------------------------
% 0.67/0.44 % (823655)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.44 % (823655)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.44 % (823655)CaDiCaL version: 2.1.3
% 0.67/0.44 % (823655)Termination reason: Instruction limit
% 0.67/0.44 % (823655)Termination phase: Property scanning
% 0.67/0.44 % (823655)Time elapsed: 0.006 s
% 0.67/0.44 % (823655)Peak memory usage: 10 MB
% 0.67/0.44 % (823655)Instructions burned: 28 (million)
% 0.67/0.44 % (823654)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=539701111: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)
% 0.67/0.44 % (823654)Instruction limit reached!
% 0.67/0.44 % (823654)------------------------------
% 0.67/0.44 % (823654)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.44 % (823654)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.44 % (823654)CaDiCaL version: 2.1.3
% 0.67/0.44 % (823654)Termination reason: Instruction limit
% 0.67/0.44 % (823654)Termination phase: shuffling
% 0.67/0.44 % (823654)Time elapsed: 0.002 s
% 0.67/0.44 % (823654)Peak memory usage: 10 MB
% 0.67/0.44 % (823654)Instructions burned: 4 (million)
% 0.67/0.44 % (823656)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=1782865024:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 0.67/0.44 % (823651)Instruction limit reached!
% 0.67/0.44 % (823651)------------------------------
% 0.67/0.44 % (823651)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.44 % (823651)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.44 % (823651)CaDiCaL version: 2.1.3
% 0.67/0.44 % (823651)Termination reason: Instruction limit
% 0.67/0.44 % (823651)Termination phase: Property scanning
% 0.67/0.44 % (823651)Time elapsed: 0.007 s
% 0.67/0.44 % (823651)Peak memory usage: 10 MB
% 0.67/0.44 % (823651)Instructions burned: 15 (million)
% 0.67/0.44 % (823659)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=3550978359:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 0.67/0.44 % (823656)Instruction limit reached!
% 0.67/0.44 % (823656)------------------------------
% 0.67/0.44 % (823656)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.44 % (823656)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.44 % (823656)CaDiCaL version: 2.1.3
% 0.67/0.44 % (823656)Termination reason: Instruction limit
% 0.67/0.44 % (823656)Termination phase: Preprocessing 1
% 0.67/0.44 % (823656)Time elapsed: 0.011 s
% 0.67/0.44 % (823656)Peak memory usage: 10 MB
% 0.67/0.44 % (823656)Instructions burned: 24 (million)
% 0.67/0.44 % (823662)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
% 0.67/0.44 % (823662)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 0.67/0.44 % (823663)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 0.67/0.44 % (823648) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-823608-823648"...
% 0.67/0.44 % (823662)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=3092315379:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.67/0.44 % (823663)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=2615951525:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 0.67/0.44 % (823648)...printing done.
% 0.67/0.44 % (823648)Refutation found. Thanks to Tanya!
% 0.67/0.44 % SZS status Theorem for theBenchmark
% 0.67/0.44 % SZS output start Proof for theBenchmark
% 0.67/0.44 thf(type_def_5, type, hF_Mirabelle_hf: $tType).
% 0.67/0.44 thf(type_def_6, type, set: $tType > $tType).
% 0.67/0.44 thf(type_def_7, type, nat: $tType).
% 0.67/0.44 thf(type_def_8, type, sTfun: ($tType * $tType) > $tType).
% 0.67/0.44 thf(func_def_0, type, type: !>[X0: $tType]:($o)).
% 0.67/0.44 thf(func_def_1, type, zero: !>[X0: $tType]:($o)).
% 0.67/0.44 thf(func_def_2, type, minus: !>[X0: $tType]:($o)).
% 0.67/0.44 thf(func_def_3, type, order: !>[X0: $tType]:($o)).
% 0.67/0.44 thf(func_def_4, type, group_add: !>[X0: $tType]:($o)).
% 0.67/0.44 thf(func_def_5, type, lattice: !>[X0: $tType]:($o)).
% 0.67/0.44 thf(func_def_6, type, semiring_1: !>[X0: $tType]:($o)).
% 0.67/0.44 thf(func_def_7, type, preorder: !>[X0: $tType]:($o)).
% 0.67/0.44 thf(func_def_8, type, semiring_char_0: !>[X0: $tType]:($o)).
% 0.67/0.44 thf(func_def_9, type, comm_monoid_diff: !>[X0: $tType]:($o)).
% 0.67/0.44 thf(func_def_10, type, semiring_1_cancel: !>[X0: $tType]:($o)).
% 0.67/0.44 thf(func_def_11, type, distrib_lattice: !>[X0: $tType]:($o)).
% 0.67/0.44 thf(func_def_12, type, semilattice_inf: !>[X0: $tType]:($o)).
% 0.67/0.44 thf(func_def_13, type, semilattice_sup: !>[X0: $tType]:($o)).
% 0.67/0.44 thf(func_def_14, type, ordered_ab_group_add: !>[X0: $tType]:($o)).
% 0.67/0.44 thf(func_def_15, type, cancel1352612707id_add: !>[X0: $tType]:($o)).
% 0.67/0.44 thf(func_def_16, type, cancel146912293up_add: !>[X0: $tType]:($o)).
% 0.67/0.44 thf(func_def_17, type, linord1659791738miring: !>[X0: $tType]:($o)).
% 0.67/0.44 thf(func_def_18, type, canoni770627133id_add: !>[X0: $tType]:($o)).
% 0.67/0.44 thf(func_def_19, type, minus_minus: !>[X0: $tType]:((X0 > X0 > X0))).
% 0.67/0.44 thf(func_def_20, type, zero_zero: !>[X0: $tType]:(X0)).
% 0.67/0.44 thf(func_def_21, type, hF_Mir1687042746ollect: ((hF_Mirabelle_hf > $o) > hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.67/0.44 thf(func_def_22, type, hF_Mirabelle_HF: (set @ hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.67/0.44 thf(func_def_23, type, hF_Mirabelle_HInter: (hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.67/0.44 thf(func_def_24, type, hF_Mirabelle_HUnion: (hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.67/0.44 thf(func_def_25, type, hF_Mir569462966eplace: (hF_Mirabelle_hf > (hF_Mirabelle_hf > hF_Mirabelle_hf > $o) > hF_Mirabelle_hf)).
% 0.67/0.44 thf(func_def_26, type, hF_Mirabelle_RepFun: (hF_Mirabelle_hf > (hF_Mirabelle_hf > hF_Mirabelle_hf) > hF_Mirabelle_hf)).
% 0.67/0.44 thf(func_def_27, type, hF_Mirabelle_Replace: (hF_Mirabelle_hf > (hF_Mirabelle_hf > hF_Mirabelle_hf > $o) > hF_Mirabelle_hf)).
% 0.67/0.44 thf(func_def_28, type, hF_Mirabelle_Abs_hf: (nat > hF_Mirabelle_hf)).
% 0.67/0.44 thf(func_def_29, type, hF_Mirabelle_hfset: (hF_Mirabelle_hf > set @ hF_Mirabelle_hf)).
% 0.67/0.44 thf(func_def_30, type, hF_Mirabelle_hfst: (hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.67/0.44 thf(func_def_31, type, hF_Mirabelle_hinsert: (hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.67/0.44 thf(func_def_32, type, hF_Mirabelle_hmem: (hF_Mirabelle_hf > hF_Mirabelle_hf > $o)).
% 0.67/0.44 thf(func_def_33, type, hF_Mirabelle_hpair: (hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.67/0.44 thf(func_def_34, type, hF_Mirabelle_hsnd: (hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.67/0.44 thf(func_def_35, type, hF_Mirabelle_hsplit: !>[X0: $tType]:(((hF_Mirabelle_hf > hF_Mirabelle_hf > X0) > hF_Mirabelle_hf > X0))).
% 0.67/0.44 thf(func_def_36, type, inf_inf: !>[X0: $tType]:((X0 > X0 > X0))).
% 0.67/0.44 thf(func_def_37, type, sup_sup: !>[X0: $tType]:((X0 > X0 > X0))).
% 0.67/0.44 thf(func_def_38, type, semiring_1_of_nat: !>[X0: $tType]:((nat > X0))).
% 0.67/0.44 thf(func_def_39, type, semiri532925092at_aux: !>[X0: $tType]:(((X0 > X0) > nat > X0 > X0))).
% 0.67/0.44 thf(func_def_40, type, ord_less_eq: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.67/0.44 thf(func_def_41, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 0.67/0.44 thf(func_def_42, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 0.67/0.44 thf(func_def_43, type, x: hF_Mirabelle_hf).
% 0.67/0.44 thf(func_def_44, type, y: hF_Mirabelle_hf).
% 0.67/0.44 thf(func_def_46, type, db1: !>[X0: $tType]:(X0)).
% 0.67/0.44 thf(func_def_47, type, db0: !>[X0: $tType]:(X0)).
% 0.67/0.44 thf(func_def_48, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.67/0.44 thf(func_def_49, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.67/0.44 thf(func_def_50, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.67/0.44 thf(func_def_51, type, db2: !>[X0: $tType]:(X0)).
% 0.67/0.44 thf(func_def_54, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.67/0.44 thf(func_def_55, type, vAND: ($o > $o > $o)).
% 0.67/0.44 thf(func_def_56, type, vNOT: ($o > $o)).
% 0.67/0.44 thf(func_def_57, type, vIMP: ($o > $o > $o)).
% 0.67/0.44 thf(func_def_58, type, vOR: ($o > $o > $o)).
% 0.67/0.44 thf(func_def_59, type, sK0: (hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.67/0.44 thf(func_def_60, type, sK1: (hF_Mirabelle_hf > (hF_Mirabelle_hf > hF_Mirabelle_hf) > hF_Mirabelle_hf)).
% 0.67/0.44 thf(func_def_61, type, sK2: ((hF_Mirabelle_hf > $o) > hF_Mirabelle_hf)).
% 0.67/0.44 thf(func_def_62, type, sK3: ((hF_Mirabelle_hf > $o) > hF_Mirabelle_hf)).
% 0.67/0.44 thf(func_def_63, type, sK4: ((hF_Mirabelle_hf > $o) > hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.67/0.44 thf(func_def_64, type, sK5: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 0.67/0.44 thf(func_def_65, type, sK6: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 0.67/0.44 thf(func_def_66, type, sK7: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 0.67/0.44 thf(func_def_67, type, sK8: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 0.67/0.44 thf(func_def_68, type, sK9: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 0.67/0.44 thf(func_def_69, type, sK10: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 0.67/0.44 thf(func_def_70, type, sK11: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 0.67/0.44 thf(func_def_71, type, sK12: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > X1) > X0))).
% 0.67/0.44 thf(func_def_72, type, sK13: (hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.67/0.44 thf(func_def_73, type, sK14: (hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.67/0.44 thf(func_def_74, type, sK15: (hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.67/0.44 thf(func_def_75, type, sK16: !>[X0: $tType]:(X0)).
% 0.67/0.44 thf(func_def_76, type, sK17: !>[X0: $tType]:(X0)).
% 0.67/0.44 thf(func_def_77, type, sK18: !>[X0: $tType]:(X0)).
% 0.67/0.44 thf(func_def_78, type, sK19: ((nat > $o) > nat)).
% 0.67/0.44 thf(func_def_79, type, sK20: (nat > (nat > $o) > nat)).
% 0.67/0.44 thf(func_def_80, type, sK21: (hF_Mirabelle_hf > (hF_Mirabelle_hf > hF_Mirabelle_hf > $o) > hF_Mirabelle_hf)).
% 0.67/0.44 thf(func_def_81, type, sK22: (hF_Mirabelle_hf > (hF_Mirabelle_hf > hF_Mirabelle_hf > $o) > hF_Mirabelle_hf)).
% 0.67/0.44 thf(func_def_82, type, sK23: (hF_Mirabelle_hf > (hF_Mirabelle_hf > hF_Mirabelle_hf > $o) > hF_Mirabelle_hf)).
% 0.67/0.44 thf(func_def_83, type, sK24: (hF_Mirabelle_hf > (hF_Mirabelle_hf > hF_Mirabelle_hf > $o) > hF_Mirabelle_hf)).
% 0.67/0.44 thf(func_def_84, type, sK25: (hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.67/0.44 thf(func_def_85, type, sK26: (hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.67/0.44 thf(func_def_86, type, sK27: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 0.67/0.44 thf(func_def_87, type, sK28: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 0.67/0.44 thf(func_def_88, type, sK29: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 0.67/0.44 thf(func_def_89, type, sK30: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 0.67/0.44 thf(func_def_90, type, sK31: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 0.67/0.44 thf(func_def_91, type, sK32: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 0.67/0.44 thf(func_def_92, type, sK33: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 0.67/0.44 thf(func_def_93, type, sK34: !>[X0: $tType]:(X0)).
% 0.67/0.44 thf(func_def_94, type, sK35: !>[X0: $tType]:(X0)).
% 0.67/0.44 thf(func_def_95, type, sK36: !>[X0: $tType]:(X0)).
% 0.67/0.44 thf(func_def_96, type, sK37: ((hF_Mirabelle_hf > $o) > hF_Mirabelle_hf)).
% 0.67/0.44 thf(func_def_97, type, sK38: ((hF_Mirabelle_hf > $o) > hF_Mirabelle_hf)).
% 0.67/0.44 thf(func_def_98, type, sK39: (hF_Mirabelle_hf > (hF_Mirabelle_hf > hF_Mirabelle_hf > $o) > hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.67/0.44 thf(func_def_99, type, sK40: (hF_Mirabelle_hf > hF_Mirabelle_hf > (hF_Mirabelle_hf > hF_Mirabelle_hf) > hF_Mirabelle_hf)).
% 0.67/0.44 thf(func_def_100, type, sK41: (hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.67/0.44 thf(func_def_101, type, sK42: (hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.67/0.44 thf(func_def_102, type, sK43: (hF_Mirabelle_hf > (hF_Mirabelle_hf > hF_Mirabelle_hf > $o) > hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.67/0.44 thf(func_def_103, type, sK44: (hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.67/0.44 thf(func_def_104, type, sK45: (hF_Mirabelle_hf > hF_Mirabelle_hf > (hF_Mirabelle_hf > hF_Mirabelle_hf > $o) > hF_Mirabelle_hf)).
% 0.67/0.44 thf(func_def_105, type, sK46: (hF_Mirabelle_hf > hF_Mirabelle_hf > (hF_Mirabelle_hf > hF_Mirabelle_hf > $o) > hF_Mirabelle_hf)).
% 0.67/0.44 thf(func_def_106, type, sK47: (hF_Mirabelle_hf > (hF_Mirabelle_hf > hF_Mirabelle_hf > $o) > hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.67/0.44 thf(func_def_107, type, sK48: (hF_Mirabelle_hf > (hF_Mirabelle_hf > hF_Mirabelle_hf) > hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.67/0.44 thf(func_def_108, type, sK49: (hF_Mirabelle_hf > (hF_Mirabelle_hf > hF_Mirabelle_hf > $o) > hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.67/0.44 thf(f15,axiom,(
% 0.67/0.44 ((^[X0 : hF_Mirabelle_hf, X1 : hF_Mirabelle_hf] : ((hF_Mirabelle_hinsert @ (hF_Mirabelle_hinsert @ X0 @ (hF_Mirabelle_hinsert @ X0 @ zero_zero @ hF_Mirabelle_hf)) @ (hF_Mirabelle_hinsert @ (hF_Mirabelle_hinsert @ X0 @ (hF_Mirabelle_hinsert @ X1 @ zero_zero @ hF_Mirabelle_hf)) @ zero_zero @ hF_Mirabelle_hf)))) = hF_Mirabelle_hpair)),
% 0.67/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_14_hpair__def_H)).
% 0.67/0.44 thf(f19,axiom,(
% 0.67/0.44 ! [X0 : hF_Mirabelle_hf,X1 : hF_Mirabelle_hf] : (((hF_Mirabelle_hinsert @ X0 @ X1)) != zero_zero @ hF_Mirabelle_hf)),
% 0.67/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_18_hinsert__nonempty)).
% 0.67/0.44 thf(f300,conjecture,(
% 0.67/0.44 (((hF_Mirabelle_hpair @ x @ y)) != zero_zero @ hF_Mirabelle_hf)),
% 0.67/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)).
% 0.67/0.44 thf(f301,negated_conjecture,(
% 0.67/0.44 ~ (((hF_Mirabelle_hpair @ x @ y)) != zero_zero @ hF_Mirabelle_hf)),
% 0.67/0.44 inference(negated_conjecture,[status(cth)],[f300])).
% 0.67/0.44 thf(f454,plain,(
% 0.67/0.44 (hF_Mirabelle_hpair = (^[Y0 : hF_Mirabelle_hf]: ((^[Y1 : hF_Mirabelle_hf]: (hF_Mirabelle_hinsert @ (hF_Mirabelle_hinsert @ Y0 @ (hF_Mirabelle_hinsert @ Y0 @ zero_zero @ hF_Mirabelle_hf)) @ (hF_Mirabelle_hinsert @ (hF_Mirabelle_hinsert @ Y0 @ (hF_Mirabelle_hinsert @ Y1 @ zero_zero @ hF_Mirabelle_hf)) @ zero_zero @ hF_Mirabelle_hf))))))),
% 0.67/0.44 inference(fool_elimination,[],[f15])).
% 0.67/0.44 thf(f811,plain,(
% 0.67/0.44 (zero_zero @ hF_Mirabelle_hf = ((hF_Mirabelle_hpair @ x @ y)))),
% 0.67/0.44 inference(flattening,[],[f301])).
% 0.67/0.44 thf(f1107,plain,(
% 0.67/0.44 (zero_zero @ hF_Mirabelle_hf = ((hF_Mirabelle_hpair @ x @ y)))),
% 0.67/0.44 inference(cnf_transformation,[],[f811])).
% 0.67/0.44 thf(f1163,plain,(
% 0.67/0.44 (hF_Mirabelle_hpair = (^[Y0 : hF_Mirabelle_hf]: ((^[Y1 : hF_Mirabelle_hf]: (hF_Mirabelle_hinsert @ (hF_Mirabelle_hinsert @ Y0 @ (hF_Mirabelle_hinsert @ Y0 @ zero_zero @ hF_Mirabelle_hf)) @ (hF_Mirabelle_hinsert @ (hF_Mirabelle_hinsert @ Y0 @ (hF_Mirabelle_hinsert @ Y1 @ zero_zero @ hF_Mirabelle_hf)) @ zero_zero @ hF_Mirabelle_hf))))))),
% 0.67/0.44 inference(cnf_transformation,[],[f454])).
% 0.67/0.44 thf(f1225,plain,(
% 0.67/0.44 ( ! [X0 : hF_Mirabelle_hf,X1 : hF_Mirabelle_hf] : ((zero_zero @ hF_Mirabelle_hf != ((hF_Mirabelle_hinsert @ X0 @ X1)))) )),
% 0.67/0.44 inference(cnf_transformation,[],[f19])).
% 0.67/0.44 thf(f1334,plain,(
% 0.67/0.44 (zero_zero @ hF_Mirabelle_hf = (((^[Y0 : hF_Mirabelle_hf]: ((^[Y1 : hF_Mirabelle_hf]: (hF_Mirabelle_hinsert @ (hF_Mirabelle_hinsert @ Y0 @ (hF_Mirabelle_hinsert @ Y0 @ zero_zero @ hF_Mirabelle_hf)) @ (hF_Mirabelle_hinsert @ (hF_Mirabelle_hinsert @ Y0 @ (hF_Mirabelle_hinsert @ Y1 @ zero_zero @ hF_Mirabelle_hf)) @ zero_zero @ hF_Mirabelle_hf))))) @ x @ y)))),
% 0.67/0.44 inference(definition_unfolding,[],[f1107,f1163])).
% 0.67/0.44 thf(f1536,plain,(
% 0.67/0.44 (zero_zero @ hF_Mirabelle_hf = ((hF_Mirabelle_hinsert @ (hF_Mirabelle_hinsert @ x @ (hF_Mirabelle_hinsert @ x @ zero_zero @ hF_Mirabelle_hf)) @ (hF_Mirabelle_hinsert @ (hF_Mirabelle_hinsert @ x @ (hF_Mirabelle_hinsert @ y @ zero_zero @ hF_Mirabelle_hf)) @ zero_zero @ hF_Mirabelle_hf))))),
% 0.67/0.44 inference(beta-eta_normalization,[],[f1334])).
% 0.67/0.44 thf(f1606,plain,(
% 0.67/0.44 (zero_zero @ hF_Mirabelle_hf != zero_zero @ hF_Mirabelle_hf)),
% 0.67/0.44 inference(superposition,[],[f1225,f1536])).
% 0.67/0.44 thf(f1607,plain,(
% 0.67/0.44 $false),
% 0.67/0.44 inference(trivial_inequality_removal,[],[f1606])).
% 0.67/0.44 % SZS output end Proof for theBenchmark
% 0.67/0.44 % (823648)------------------------------
% 0.67/0.44 % (823648)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.44 % (823648)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.44 % (823648)CaDiCaL version: 2.1.3
% 0.67/0.44 % (823648)Termination reason: Refutation
% 0.67/0.44 % (823648)Time elapsed: 0.040 s
% 0.67/0.44 % (823648)Peak memory usage: 13 MB
% 0.67/0.44 % (823648)Instructions burned: 82 (million)
% 0.67/0.44 % (823608)Success in time 0.186 s
% 0.67/0.44 % Vampire exiting
%------------------------------------------------------------------------------