%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP121^2 : 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 : n005.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 08:08:26 AM UTC 2026
% Result : Theorem 0.71s 0.41s
% Output : Refutation 0.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP121^2 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.20 % Computer : n005.cluster.edu
% 0.10/0.20 % Model : x86_64 x86_64
% 0.10/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.20 % Memory : 8046.5625MB
% 0.10/0.20 % OS : Linux 6.8.0-71-generic
% 0.10/0.20 % CPULimit : 300
% 0.10/0.20 % WCLimit : 300
% 0.10/0.20 % DateTime : Tue Sep 29 19:56:32 UTC 2026
% 0.10/0.20 % CPUTime :
% 0.10/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.23 Running higher-order theorem proving
% 0.10/0.25 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
% 0.71/0.38 % (2132047)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.71/0.38 % (2132061)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2159886963:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.71/0.38 % (2132063)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.71/0.38 % (2132063)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
% 0.71/0.38 % (2132061)Instruction limit reached!
% 0.71/0.38 % (2132061)------------------------------
% 0.71/0.38 % (2132061)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.38 % (2132061)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.38 % (2132061)CaDiCaL version: 2.1.3
% 0.71/0.38 % (2132061)Termination reason: Instruction limit
% 0.71/0.38 % (2132061)Termination phase: Property scanning
% 0.71/0.38 % (2132061)Time elapsed: 0.006 s
% 0.71/0.38 % (2132061)Peak memory usage: 10 MB
% 0.71/0.38 % (2132061)Instructions burned: 27 (million)
% 0.71/0.38 % (2132058)lrs+10_16_si=on:nwc=1.5:random_seed=1771839098:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.71/0.38 % (2132059)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=529369140:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.71/0.38 % (2132057)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2572683963:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.71/0.38 % (2132060)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=1071799263: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)
% 0.71/0.38 % (2132062)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3139279079:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.71/0.38 % (2132063)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=494402353:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.71/0.38 % (2132059)Instruction limit reached!
% 0.71/0.38 % (2132059)------------------------------
% 0.71/0.38 % (2132059)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.38 % (2132059)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.38 % (2132059)CaDiCaL version: 2.1.3
% 0.71/0.38 % (2132059)Termination reason: Instruction limit
% 0.71/0.38 % (2132059)Termination phase: shuffling
% 0.71/0.38 % (2132059)Time elapsed: 0.002 s
% 0.71/0.38 % (2132059)Peak memory usage: 10 MB
% 0.71/0.38 % (2132059)Instructions burned: 4 (million)
% 0.71/0.38 % (2132058)Instruction limit reached!
% 0.71/0.38 % (2132058)------------------------------
% 0.71/0.38 % (2132058)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.38 % (2132058)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.38 % (2132058)CaDiCaL version: 2.1.3
% 0.71/0.38 % (2132058)Termination reason: Instruction limit
% 0.71/0.38 % (2132058)Termination phase: Property scanning
% 0.71/0.38 % (2132058)Time elapsed: 0.008 s
% 0.71/0.38 % (2132058)Peak memory usage: 10 MB
% 0.71/0.38 % (2132058)Instructions burned: 19 (million)
% 0.71/0.38 % (2132071)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=664507053:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.71/0.38 % (2132071)Instruction limit reached!
% 0.71/0.38 % (2132071)------------------------------
% 0.71/0.38 % (2132071)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.38 % (2132071)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.38 % (2132071)CaDiCaL version: 2.1.3
% 0.71/0.38 % (2132071)Termination reason: Instruction limit
% 0.71/0.38 % (2132071)Termination phase: shuffling
% 0.71/0.38 % (2132071)Time elapsed: 0.001 s
% 0.71/0.38 % (2132071)Peak memory usage: 10 MB
% 0.71/0.38 % (2132071)Instructions burned: 3 (million)
% 0.71/0.38 % (2132081)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=1662564878:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.71/0.41 % (2132078)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2150905829:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.71/0.41 % (2132080)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.71/0.41 % (2132081)Instruction limit reached!
% 0.71/0.41 % (2132081)------------------------------
% 0.71/0.41 % (2132081)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.41 % (2132081)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.41 % (2132081)CaDiCaL version: 2.1.3
% 0.71/0.41 % (2132081)Termination reason: Instruction limit
% 0.71/0.41 % (2132081)Termination phase: shuffling
% 0.71/0.41 % (2132081)Time elapsed: 0.003 s
% 0.71/0.41 % (2132081)Peak memory usage: 10 MB
% 0.71/0.41 % (2132081)Instructions burned: 12 (million)
% 0.71/0.41 % (2132078)Instruction limit reached!
% 0.71/0.41 % (2132078)------------------------------
% 0.71/0.41 % (2132078)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.41 % (2132078)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.41 % (2132078)CaDiCaL version: 2.1.3
% 0.71/0.41 % (2132078)Termination reason: Instruction limit
% 0.71/0.41 % (2132078)Termination phase: shuffling
% 0.71/0.41 % (2132078)Time elapsed: 0.003 s
% 0.71/0.41 % (2132078)Peak memory usage: 10 MB
% 0.71/0.41 % (2132078)Instructions burned: 6 (million)
% 0.71/0.41 % (2132080)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1712963459:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.71/0.41 % (2132080)Instruction limit reached!
% 0.71/0.41 % (2132080)------------------------------
% 0.71/0.41 % (2132080)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.41 % (2132080)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.41 % (2132080)CaDiCaL version: 2.1.3
% 0.71/0.41 % (2132080)Termination reason: Instruction limit
% 0.71/0.41 % (2132080)Termination phase: shuffling
% 0.71/0.41 % (2132080)Time elapsed: 0.004 s
% 0.71/0.41 % (2132080)Peak memory usage: 10 MB
% 0.71/0.41 % (2132080)Instructions burned: 9 (million)
% 0.71/0.41 % (2132084)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
% 0.71/0.41 % (2132084)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.71/0.41 % (2132084)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=44967582:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.71/0.41 % (2132062)Instruction limit reached!
% 0.71/0.41 % (2132062)------------------------------
% 0.71/0.41 % (2132062)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.41 % (2132062)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.41 % (2132062)CaDiCaL version: 2.1.3
% 0.71/0.41 % (2132062)Termination reason: Instruction limit
% 0.71/0.41 % (2132062)Termination phase: Property scanning
% 0.71/0.41 % (2132062)Time elapsed: 0.036 s
% 0.71/0.41 % (2132062)Peak memory usage: 11 MB
% 0.71/0.41 % (2132062)Instructions burned: 75 (million)
% 0.71/0.41 % (2132057)Instruction limit reached!
% 0.71/0.41 % (2132057)------------------------------
% 0.71/0.41 % (2132057)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.41 % (2132057)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.41 % (2132057)CaDiCaL version: 2.1.3
% 0.71/0.41 % (2132057)Termination reason: Instruction limit
% 0.71/0.41 % (2132057)Termination phase: Saturation
% 0.71/0.41 % (2132057)Time elapsed: 0.039 s
% 0.71/0.41 % (2132057)Peak memory usage: 12 MB
% 0.71/0.41 % (2132057)Instructions burned: 88 (million)
% 0.71/0.41 % (2132084)Instruction limit reached!
% 0.71/0.41 % (2132084)------------------------------
% 0.71/0.41 % (2132084)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.41 % (2132084)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.41 % (2132084)CaDiCaL version: 2.1.3
% 0.71/0.41 % (2132084)Termination reason: Instruction limit
% 0.71/0.41 % (2132084)Termination phase: Property scanning
% 0.71/0.41 % (2132084)Time elapsed: 0.007 s
% 0.71/0.41 % (2132084)Peak memory usage: 10 MB
% 0.71/0.41 % (2132084)Instructions burned: 32 (million)
% 0.71/0.41 % (2132085)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=2813085469:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.71/0.41 % (2132087)lrs+10_1_si=on:cs=on:random_seed=616600508:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.71/0.41 % (2132089)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.71/0.41 % (2132091)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=3103390294:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.71/0.41 % (2132087)Instruction limit reached!
% 0.71/0.41 % (2132087)------------------------------
% 0.71/0.41 % (2132087)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.41 % (2132087)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.41 % (2132087)CaDiCaL version: 2.1.3
% 0.71/0.41 % (2132087)Termination reason: Instruction limit
% 0.71/0.41 % (2132087)Termination phase: shuffling
% 0.71/0.41 % (2132087)Time elapsed: 0.005 s
% 0.71/0.41 % (2132087)Peak memory usage: 10 MB
% 0.71/0.41 % (2132087)Instructions burned: 10 (million)
% 0.71/0.41 % (2132089)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=571345152:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.71/0.41 % (2132089)Instruction limit reached!
% 0.71/0.41 % (2132089)------------------------------
% 0.71/0.41 % (2132089)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.41 % (2132089)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.41 % (2132089)CaDiCaL version: 2.1.3
% 0.71/0.41 % (2132089)Termination reason: Instruction limit
% 0.71/0.41 % (2132089)Termination phase: shuffling
% 0.71/0.41 % (2132089)Time elapsed: 0.002 s
% 0.71/0.41 % (2132089)Peak memory usage: 10 MB
% 0.71/0.41 % (2132089)Instructions burned: 4 (million)
% 0.71/0.41 % (2132090)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=4283579532:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.71/0.41 % (2132096)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1641384456:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/25Mi)
% 0.71/0.41 % (2132090)Instruction limit reached!
% 0.71/0.41 % (2132090)------------------------------
% 0.71/0.41 % (2132090)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.41 % (2132090)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.41 % (2132090)CaDiCaL version: 2.1.3
% 0.71/0.41 % (2132090)Termination reason: Instruction limit
% 0.71/0.41 % (2132090)Termination phase: Property scanning
% 0.71/0.41 % (2132090)Time elapsed: 0.017 s
% 0.71/0.41 % (2132090)Peak memory usage: 11 MB
% 0.71/0.41 % (2132090)Instructions burned: 39 (million)
% 0.71/0.41 % (2132098)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=2926696690:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2999 on theBenchmark for (2999ds/14Mi)
% 0.71/0.41 % (2132063)Instruction limit reached!
% 0.71/0.41 % (2132063)------------------------------
% 0.71/0.41 % (2132063)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.41 % (2132063)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.41 % (2132063)CaDiCaL version: 2.1.3
% 0.71/0.41 % (2132063)Termination reason: Instruction limit
% 0.71/0.41 % (2132063)Termination phase: Saturation
% 0.71/0.41 % (2132063)Time elapsed: 0.078 s
% 0.71/0.41 % (2132063)Peak memory usage: 13 MB
% 0.71/0.41 % (2132063)Instructions burned: 158 (million)
% 0.71/0.41 % (2132085)Instruction limit reached!
% 0.71/0.41 % (2132085)------------------------------
% 0.71/0.41 % (2132085)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.41 % (2132085)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.41 % (2132085)CaDiCaL version: 2.1.3
% 0.71/0.41 % (2132085)Termination reason: Instruction limit
% 0.71/0.41 % (2132085)Termination phase: Saturation
% 0.71/0.41 % (2132085)Time elapsed: 0.038 s
% 0.71/0.41 % (2132085)Peak memory usage: 12 MB
% 0.71/0.41 % (2132085)Instructions burned: 87 (million)
% 0.71/0.41 % (2132098)Instruction limit reached!
% 0.71/0.41 % (2132098)------------------------------
% 0.71/0.41 % (2132098)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.41 % (2132098)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.41 % (2132098)CaDiCaL version: 2.1.3
% 0.71/0.41 % (2132098)Termination reason: Instruction limit
% 0.71/0.41 % (2132098)Termination phase: shuffling
% 0.71/0.41 % (2132098)Time elapsed: 0.006 s
% 0.71/0.41 % (2132098)Peak memory usage: 10 MB
% 0.71/0.41 % (2132098)Instructions burned: 14 (million)
% 0.71/0.41 % (2132096)Instruction limit reached!
% 0.71/0.41 % (2132096)------------------------------
% 0.71/0.41 % (2132096)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.41 % (2132096)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.41 % (2132096)CaDiCaL version: 2.1.3
% 0.71/0.41 % (2132096)Termination reason: Instruction limit
% 0.71/0.41 % (2132096)Termination phase: Property scanning
% 0.71/0.41 % (2132096)Time elapsed: 0.011 s
% 0.71/0.41 % (2132096)Peak memory usage: 10 MB
% 0.71/0.41 % (2132096)Instructions burned: 25 (million)
% 0.71/0.41 % (2132101)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=4227005835:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.71/0.41 % (2132102)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=1655268586:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 0.71/0.41 % (2132103)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=2806374373: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)
% 0.71/0.41 % (2132104)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=591907460:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 0.71/0.41 % (2132105)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=1658450417:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 0.71/0.41 % (2132102)Instruction limit reached!
% 0.71/0.41 % (2132102)------------------------------
% 0.71/0.41 % (2132102)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.41 % (2132102)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.41 % (2132102)CaDiCaL version: 2.1.3
% 0.71/0.41 % (2132102)Termination reason: Instruction limit
% 0.71/0.41 % (2132102)Termination phase: shuffling
% 0.71/0.41 % (2132102)Time elapsed: 0.006 s
% 0.71/0.41 % (2132102)Peak memory usage: 10 MB
% 0.71/0.41 % (2132102)Instructions burned: 14 (million)
% 0.71/0.41 % (2132103)Instruction limit reached!
% 0.71/0.41 % (2132103)------------------------------
% 0.71/0.41 % (2132103)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.41 % (2132103)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.41 % (2132103)CaDiCaL version: 2.1.3
% 0.71/0.41 % (2132103)Termination reason: Instruction limit
% 0.71/0.41 % (2132103)Termination phase: shuffling
% 0.71/0.41 % (2132103)Time elapsed: 0.002 s
% 0.71/0.41 % (2132103)Peak memory usage: 10 MB
% 0.71/0.41 % (2132103)Instructions burned: 4 (million)
% 0.71/0.41 % (2132060) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2132047-2132060"...
% 0.71/0.41 % (2132060)...printing done.
% 0.71/0.41 % (2132060)Refutation found. Thanks to Tanya!
% 0.71/0.41 % SZS status Theorem for theBenchmark
% 0.71/0.41 % SZS output start Proof for theBenchmark
% 0.71/0.41 thf(type_def_5, type, set: $tType > $tType).
% 0.71/0.41 thf(type_def_6, type, a: $tType).
% 0.71/0.41 thf(type_def_7, type, sTfun: ($tType * $tType) > $tType).
% 0.71/0.41 thf(func_def_0, type, type: !>[X0: $tType]:($o)).
% 0.71/0.41 thf(func_def_1, type, order: !>[X0: $tType]:($o)).
% 0.71/0.41 thf(func_def_2, type, semilattice_inf: !>[X0: $tType]:($o)).
% 0.71/0.41 thf(func_def_3, type, condit2040224947_above: !>[X0: $tType]:(((X0 > X0 > $o) > set @ X0 > $o))).
% 0.71/0.41 thf(func_def_4, type, condit1201339847_below: !>[X0: $tType]:(((X0 > X0 > $o) > set @ X0 > $o))).
% 0.71/0.41 thf(func_def_5, type, finite_comp_fun_idem: !>[X0: $tType, X1: $tType]:(((X0 > X1 > X1) > $o))).
% 0.71/0.41 thf(func_def_6, type, finite_finite: !>[X0: $tType]:((set @ X0 > $o))).
% 0.71/0.41 thf(func_def_7, type, abel_semigroup: !>[X0: $tType]:(((X0 > X0 > X0) > $o))).
% 0.71/0.41 thf(func_def_8, type, semigroup: !>[X0: $tType]:(((X0 > X0 > X0) > $o))).
% 0.71/0.41 thf(func_def_9, type, inf_inf: !>[X0: $tType]:((X0 > X0 > X0))).
% 0.71/0.41 thf(func_def_10, type, semilattice: !>[X0: $tType]:(((X0 > X0 > X0) > $o))).
% 0.71/0.41 thf(func_def_11, type, lattic1263571978nf_fin: !>[X0: $tType]:(((X0 > X0 > X0) > set @ X0 > X0))).
% 0.71/0.41 thf(func_def_12, type, lattic35693393ce_set: !>[X0: $tType]:(((X0 > X0 > X0) > $o))).
% 0.71/0.41 thf(func_def_13, type, lattic1039401930up_fin: !>[X0: $tType]:(((X0 > X0 > X0) > set @ X0 > X0))).
% 0.71/0.41 thf(func_def_14, type, modula105138637_a_aux: !>[X0: $tType]:(((X0 > X0 > X0) > (X0 > X0 > X0) > X0 > X0 > X0 > X0))).
% 0.71/0.41 thf(func_def_15, type, modula477145868_b_aux: !>[X0: $tType]:(((X0 > X0 > X0) > (X0 > X0 > X0) > X0 > X0 > X0 > X0))).
% 0.71/0.41 thf(func_def_16, type, modula849153099_c_aux: !>[X0: $tType]:(((X0 > X0 > X0) > (X0 > X0 > X0) > X0 > X0 > X0 > X0))).
% 0.71/0.41 thf(func_def_17, type, modula1221160330_d_aux: !>[X0: $tType]:(((X0 > X0 > X0) > (X0 > X0 > X0) > X0 > X0 > X0 > X0))).
% 0.71/0.41 thf(func_def_18, type, modula1593167561_e_aux: !>[X0: $tType]:(((X0 > X0 > X0) > (X0 > X0 > X0) > X0 > X0 > X0 > X0))).
% 0.71/0.41 thf(func_def_19, type, modula1937309406incomp: !>[X0: $tType]:(((X0 > X0 > $o) > X0 > X0 > $o))).
% 0.71/0.41 thf(func_def_20, type, bot_bot: !>[X0: $tType]:(X0)).
% 0.71/0.41 thf(func_def_21, type, least: !>[X0: $tType]:(((X0 > X0 > $o) > (X0 > $o) > X0))).
% 0.71/0.41 thf(func_def_22, type, max: !>[X0: $tType]:(((X0 > X0 > $o) > X0 > X0 > X0))).
% 0.71/0.41 thf(func_def_23, type, min: !>[X0: $tType]:(((X0 > X0 > $o) > X0 > X0 > X0))).
% 0.71/0.41 thf(func_def_24, type, ord_less_eq: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.71/0.41 thf(func_def_25, type, greatest: !>[X0: $tType]:(((X0 > X0 > $o) > (X0 > $o) > X0))).
% 0.71/0.41 thf(func_def_26, type, antimono: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > (X0 > X1) > $o))).
% 0.71/0.41 thf(func_def_27, type, mono: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > (X0 > X1) > $o))).
% 0.71/0.41 thf(func_def_28, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 0.71/0.41 thf(func_def_29, type, insert: !>[X0: $tType]:((X0 > set @ X0 > set @ X0))).
% 0.71/0.41 thf(func_def_30, type, set_atLeast: !>[X0: $tType]:(((X0 > X0 > $o) > X0 > set @ X0))).
% 0.71/0.41 thf(func_def_31, type, set_atMost: !>[X0: $tType]:(((X0 > X0 > $o) > X0 > set @ X0))).
% 0.71/0.41 thf(func_def_32, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 0.71/0.41 thf(func_def_33, type, a2: a).
% 0.71/0.41 thf(func_def_34, type, b: a).
% 0.71/0.41 thf(func_def_35, type, c: a).
% 0.71/0.41 thf(func_def_36, type, inf: (a > a > a)).
% 0.71/0.41 thf(func_def_37, type, less_eq: (a > a > $o)).
% 0.71/0.41 thf(func_def_38, type, sup: (a > a > a)).
% 0.71/0.41 thf(func_def_42, type, db2: !>[X0: $tType]:(X0)).
% 0.71/0.41 thf(func_def_43, type, db0: !>[X0: $tType]:(X0)).
% 0.71/0.41 thf(func_def_44, type, db1: !>[X0: $tType]:(X0)).
% 0.71/0.41 thf(func_def_45, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.71/0.41 thf(func_def_46, type, vAND: ($o > $o > $o)).
% 0.71/0.41 thf(func_def_47, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.71/0.41 thf(func_def_48, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.71/0.41 thf(func_def_49, type, vIMP: ($o > $o > $o)).
% 0.71/0.41 thf(func_def_50, type, db3: !>[X0: $tType]:(X0)).
% 0.71/0.41 thf(func_def_51, type, sK0: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 0.71/0.41 thf(func_def_52, type, sK1: (set @ a > a)).
% 0.71/0.41 thf(func_def_53, type, sK2: !>[X0: $tType]:(((a > X0) > a))).
% 0.71/0.41 thf(func_def_54, type, sK3: !>[X0: $tType]:(((a > X0) > a))).
% 0.71/0.41 thf(func_def_55, type, sK4: !>[X0: $tType]:((set @ X0 > X0))).
% 0.71/0.41 thf(func_def_56, type, sK5: (a > set @ a > a)).
% 0.71/0.41 thf(func_def_57, type, sK6: (a > set @ a > a)).
% 0.71/0.41 thf(func_def_58, type, sK7: ((a > a > a) > a)).
% 0.71/0.41 thf(func_def_59, type, sK8: ((a > a > a) > a)).
% 0.71/0.41 thf(func_def_60, type, sK9: ((a > a > a) > a)).
% 0.71/0.41 thf(func_def_61, type, sK10: ((a > a > a) > a)).
% 0.71/0.41 thf(func_def_62, type, sK11: ((a > a > a) > a)).
% 0.71/0.41 thf(func_def_63, type, sK12: ((a > a > a) > a)).
% 0.71/0.41 thf(func_def_64, type, sK13: ((a > a > a) > a)).
% 0.71/0.41 thf(func_def_65, type, sK14: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 0.71/0.41 thf(func_def_66, type, sK15: (a > (a > $o) > a)).
% 0.71/0.41 thf(func_def_67, type, sK16: (a > (a > $o) > a)).
% 0.71/0.41 thf(func_def_68, type, sK17: !>[X0: $tType]:((set @ X0 > set @ X0 > X0))).
% 0.71/0.41 thf(func_def_69, type, sK18: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 0.71/0.41 thf(func_def_70, type, sK19: (a > set @ a > a)).
% 0.71/0.41 thf(func_def_71, type, sK20: !>[X0: $tType]:(((a > X0) > a))).
% 0.71/0.41 thf(func_def_72, type, sK21: !>[X0: $tType]:(((a > X0) > a))).
% 0.71/0.41 thf(func_def_73, type, sK22: !>[X0: $tType]:((set @ X0 > X0))).
% 0.71/0.41 thf(func_def_74, type, sK23: (a > set @ a > a)).
% 0.71/0.41 thf(func_def_75, type, sK24: ((a > $o) > (a > $o) > a)).
% 0.71/0.41 thf(func_def_76, type, sK25: (a > (a > $o) > a)).
% 0.71/0.41 thf(func_def_77, type, sK26: (set @ a > a)).
% 0.71/0.41 thf(func_def_78, type, sK27: a).
% 0.71/0.41 thf(func_def_79, type, sK28: a).
% 0.71/0.41 thf(func_def_80, type, sK29: a).
% 0.71/0.41 thf(func_def_81, type, sK30: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 0.71/0.41 thf(func_def_82, type, sK31: (a > (a > $o) > a)).
% 0.71/0.41 thf(func_def_83, type, sK32: (a > (a > $o) > a)).
% 0.71/0.41 thf(func_def_84, type, sK33: ((a > $o) > a > a)).
% 0.71/0.41 thf(func_def_85, type, sK34: (a > set @ a > a)).
% 0.71/0.41 thf(func_def_86, type, sK35: (a > set @ a > a)).
% 0.71/0.41 thf(func_def_87, type, sK36: (set @ a > a)).
% 0.71/0.41 thf(func_def_88, type, sK37: (set @ a > a > a)).
% 0.71/0.41 thf(func_def_89, type, sK38: (a > set @ a > a)).
% 0.71/0.41 thf(func_def_90, type, sK39: (set @ a > a > a)).
% 0.71/0.41 thf(func_def_91, type, sK40: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 0.71/0.41 thf(func_def_92, type, sK41: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 0.71/0.41 thf(func_def_93, type, sK42: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 0.71/0.41 thf(func_def_94, type, sK43: !>[X0: $tType]:(((a > X0) > a))).
% 0.71/0.41 thf(func_def_95, type, sK44: !>[X0: $tType]:(((a > X0) > a))).
% 0.71/0.41 thf(func_def_96, type, sK45: (a > set @ a > a)).
% 0.71/0.41 thf(func_def_97, type, sK46: (set @ a > a)).
% 0.71/0.41 thf(func_def_98, type, sK47: !>[X0: $tType]:((set @ X0 > X0))).
% 0.71/0.41 thf(func_def_99, type, sK48: !>[X0: $tType]:(((a > X0) > a))).
% 0.71/0.41 thf(func_def_100, type, sK49: !>[X0: $tType]:(((a > X0) > a))).
% 0.71/0.41 thf(func_def_101, type, sK50: !>[X0: $tType]:(((X0 > $o) > X0))).
% 0.71/0.41 thf(func_def_102, type, sK51: (a > (a > $o) > a)).
% 0.71/0.41 thf(func_def_103, type, sK52: ((a > $o) > (a > $o) > a)).
% 0.71/0.41 thf(func_def_104, type, sK53: ((a > a > a) > a)).
% 0.71/0.41 thf(func_def_105, type, sK54: ((a > a > a) > a)).
% 0.71/0.41 thf(func_def_106, type, sK55: ((a > a > a) > a)).
% 0.71/0.41 thf(func_def_107, type, sK56: ((a > a > a) > a)).
% 0.71/0.41 thf(func_def_108, type, sK57: ((a > a > a) > a)).
% 0.71/0.41 thf(func_def_109, type, sK58: ((a > a > a) > a)).
% 0.71/0.41 thf(func_def_110, type, sK59: ((a > a > a) > a)).
% 0.71/0.41 thf(func_def_111, type, sK60: ((a > $o) > a > a)).
% 0.71/0.41 thf(func_def_112, type, sK61: a).
% 0.71/0.41 thf(func_def_113, type, sK62: a).
% 0.71/0.41 thf(func_def_114, type, sK63: a).
% 0.71/0.41 thf(func_def_115, type, sK64: a).
% 0.71/0.41 thf(func_def_116, type, sK65: a).
% 0.71/0.41 thf(func_def_117, type, sK66: !>[X0: $tType]:(((X0 > $o) > X0))).
% 0.71/0.41 thf(func_def_118, type, vNOT: ($o > $o)).
% 0.71/0.41 thf(f84,axiom,(
% 0.71/0.41 ! [X0 : a,X1 : a] : (less_eq @ (inf @ X0 @ X1) @ X1)),
% 0.71/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_83_local_Oinf__le2)).
% 0.71/0.41 thf(f128,axiom,(
% 0.71/0.41 ! [X0 : a,X1 : a,X2 : a] : ((less_eq @ X0 @ X1) => (((sup @ X0 @ (inf @ X1 @ X2))) = ((inf @ X1 @ (sup @ X0 @ X2)))))),
% 0.71/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_127_local_Omodular)).
% 0.71/0.41 thf(f263,conjecture,(
% 0.71/0.41 (((sup @ (inf @ (sup @ b @ (modula1221160330_d_aux @ a @ inf @ sup @ a2 @ b @ c)) @ (modula1593167561_e_aux @ a @ inf @ sup @ a2 @ b @ c)) @ (inf @ (modula1593167561_e_aux @ a @ inf @ sup @ a2 @ b @ c) @ (sup @ a2 @ (modula1221160330_d_aux @ a @ inf @ sup @ a2 @ b @ c))))) = ((inf @ (modula1593167561_e_aux @ a @ inf @ sup @ a2 @ b @ c) @ (sup @ (inf @ (sup @ b @ (modula1221160330_d_aux @ a @ inf @ sup @ a2 @ b @ c)) @ (modula1593167561_e_aux @ a @ inf @ sup @ a2 @ b @ c)) @ (sup @ a2 @ (modula1221160330_d_aux @ a @ inf @ sup @ a2 @ b @ c))))))),
% 0.71/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)).
% 0.71/0.41 thf(f264,negated_conjecture,(
% 0.71/0.41 ~ (((sup @ (inf @ (sup @ b @ (modula1221160330_d_aux @ a @ inf @ sup @ a2 @ b @ c)) @ (modula1593167561_e_aux @ a @ inf @ sup @ a2 @ b @ c)) @ (inf @ (modula1593167561_e_aux @ a @ inf @ sup @ a2 @ b @ c) @ (sup @ a2 @ (modula1221160330_d_aux @ a @ inf @ sup @ a2 @ b @ c))))) = ((inf @ (modula1593167561_e_aux @ a @ inf @ sup @ a2 @ b @ c) @ (sup @ (inf @ (sup @ b @ (modula1221160330_d_aux @ a @ inf @ sup @ a2 @ b @ c)) @ (modula1593167561_e_aux @ a @ inf @ sup @ a2 @ b @ c)) @ (sup @ a2 @ (modula1221160330_d_aux @ a @ inf @ sup @ a2 @ b @ c))))))),
% 0.71/0.41 inference(negated_conjecture,[status(cth)],[f263])).
% 0.71/0.41 thf(f304,plain,(
% 0.71/0.41 ! [X0 : a,X1 : a,X2 : a] : ((less_eq @ X0 @ X1) => (((sup @ X0 @ (inf @ X1 @ X2))) = ((inf @ X1 @ (sup @ X0 @ X2)))))),
% 0.71/0.41 inference(rectify,[],[f128])).
% 0.71/0.41 thf(f305,plain,(
% 0.71/0.41 ! [X0 : a,X2 : a,X1 : a] : ((((less_eq @ X0 @ X1)) = $true) => (((sup @ X0 @ (inf @ X1 @ X2))) = ((inf @ X1 @ (sup @ X0 @ X2)))))),
% 0.71/0.41 inference(fool_elimination,[],[f304])).
% 0.71/0.41 thf(f499,plain,(
% 0.71/0.41 ! [X0 : a,X1 : a] : (less_eq @ (inf @ X0 @ X1) @ X1)),
% 0.71/0.41 inference(rectify,[],[f84])).
% 0.71/0.41 thf(f500,plain,(
% 0.71/0.41 ! [X1 : a,X0 : a] : (((less_eq @ (inf @ X0 @ X1) @ X1)) = $true)),
% 0.71/0.41 inference(fool_elimination,[],[f499])).
% 0.71/0.41 thf(f692,plain,(
% 0.71/0.41 (((sup @ (inf @ (sup @ b @ (modula1221160330_d_aux @ a @ inf @ sup @ a2 @ b @ c)) @ (modula1593167561_e_aux @ a @ inf @ sup @ a2 @ b @ c)) @ (inf @ (modula1593167561_e_aux @ a @ inf @ sup @ a2 @ b @ c) @ (sup @ a2 @ (modula1221160330_d_aux @ a @ inf @ sup @ a2 @ b @ c))))) != ((inf @ (modula1593167561_e_aux @ a @ inf @ sup @ a2 @ b @ c) @ (sup @ (inf @ (sup @ b @ (modula1221160330_d_aux @ a @ inf @ sup @ a2 @ b @ c)) @ (modula1593167561_e_aux @ a @ inf @ sup @ a2 @ b @ c)) @ (sup @ a2 @ (modula1221160330_d_aux @ a @ inf @ sup @ a2 @ b @ c))))))),
% 0.71/0.41 inference(flattening,[],[f264])).
% 0.71/0.41 thf(f907,plain,(
% 0.71/0.41 ! [X2 : a,X1 : a,X0 : a] : ((((less_eq @ X0 @ X1)) != $true) | (((sup @ X0 @ (inf @ X1 @ X2))) = ((inf @ X1 @ (sup @ X0 @ X2)))))),
% 0.71/0.41 inference(ennf_transformation,[],[f305])).
% 0.71/0.41 thf(f927,plain,(
% 0.71/0.41 ! [X0 : a,X1 : a,X2 : a] : ((((less_eq @ X2 @ X1)) != $true) | (((sup @ X2 @ (inf @ X1 @ X0))) = ((inf @ X1 @ (sup @ X2 @ X0)))))),
% 0.71/0.41 inference(rectify,[],[f907])).
% 0.71/0.41 thf(f936,plain,(
% 0.71/0.41 ! [X0 : a,X1 : a] : (((less_eq @ (inf @ X1 @ X0) @ X0)) = $true)),
% 0.71/0.41 inference(rectify,[],[f500])).
% 0.71/0.41 thf(f1137,plain,(
% 0.71/0.41 ( ! [X2 : a,X0 : a,X1 : a] : ((((sup @ X2 @ (inf @ X1 @ X0))) = ((inf @ X1 @ (sup @ X2 @ X0)))) | (((less_eq @ X2 @ X1)) != $true)) )),
% 0.71/0.41 inference(cnf_transformation,[],[f927])).
% 0.71/0.41 thf(f1147,plain,(
% 0.71/0.41 ( ! [X0 : a,X1 : a] : ((((less_eq @ (inf @ X1 @ X0) @ X0)) = $true)) )),
% 0.71/0.41 inference(cnf_transformation,[],[f936])).
% 0.71/0.41 thf(f1202,plain,(
% 0.71/0.41 (((sup @ (inf @ (sup @ b @ (modula1221160330_d_aux @ a @ inf @ sup @ a2 @ b @ c)) @ (modula1593167561_e_aux @ a @ inf @ sup @ a2 @ b @ c)) @ (inf @ (modula1593167561_e_aux @ a @ inf @ sup @ a2 @ b @ c) @ (sup @ a2 @ (modula1221160330_d_aux @ a @ inf @ sup @ a2 @ b @ c))))) != ((inf @ (modula1593167561_e_aux @ a @ inf @ sup @ a2 @ b @ c) @ (sup @ (inf @ (sup @ b @ (modula1221160330_d_aux @ a @ inf @ sup @ a2 @ b @ c)) @ (modula1593167561_e_aux @ a @ inf @ sup @ a2 @ b @ c)) @ (sup @ a2 @ (modula1221160330_d_aux @ a @ inf @ sup @ a2 @ b @ c))))))),
% 0.71/0.41 inference(cnf_transformation,[],[f692])).
% 0.71/0.41 thf(f1541,definition,(
% 0.71/0.41 spl67_10 <=> (((sup @ (inf @ (sup @ b @ (modula1221160330_d_aux @ a @ inf @ sup @ a2 @ b @ c)) @ (modula1593167561_e_aux @ a @ inf @ sup @ a2 @ b @ c)) @ (inf @ (modula1593167561_e_aux @ a @ inf @ sup @ a2 @ b @ c) @ (sup @ a2 @ (modula1221160330_d_aux @ a @ inf @ sup @ a2 @ b @ c))))) = ((inf @ (modula1593167561_e_aux @ a @ inf @ sup @ a2 @ b @ c) @ (sup @ (inf @ (sup @ b @ (modula1221160330_d_aux @ a @ inf @ sup @ a2 @ b @ c)) @ (modula1593167561_e_aux @ a @ inf @ sup @ a2 @ b @ c)) @ (sup @ a2 @ (modula1221160330_d_aux @ a @ inf @ sup @ a2 @ b @ c))))))),
% 0.71/0.41 introduced(definition,[new_symbols(definition,[spl67_10])],[avatar_definition])).
% 0.71/0.41 thf(f1543,plain,(
% 0.71/0.41 (((sup @ (inf @ (sup @ b @ (modula1221160330_d_aux @ a @ inf @ sup @ a2 @ b @ c)) @ (modula1593167561_e_aux @ a @ inf @ sup @ a2 @ b @ c)) @ (inf @ (modula1593167561_e_aux @ a @ inf @ sup @ a2 @ b @ c) @ (sup @ a2 @ (modula1221160330_d_aux @ a @ inf @ sup @ a2 @ b @ c))))) != ((inf @ (modula1593167561_e_aux @ a @ inf @ sup @ a2 @ b @ c) @ (sup @ (inf @ (sup @ b @ (modula1221160330_d_aux @ a @ inf @ sup @ a2 @ b @ c)) @ (modula1593167561_e_aux @ a @ inf @ sup @ a2 @ b @ c)) @ (sup @ a2 @ (modula1221160330_d_aux @ a @ inf @ sup @ a2 @ b @ c)))))) | spl67_10),
% 0.71/0.41 inference(avatar_component_clause,[],[f1541])).
% 0.71/0.41 thf(f1544,plain,(
% 0.71/0.41 ~spl67_10),
% 0.71/0.41 inference(avatar_split_clause,[],[f1202,f1541])).
% 0.71/0.41 thf(f3046,plain,(
% 0.71/0.41 (((less_eq @ (inf @ (sup @ b @ (modula1221160330_d_aux @ a @ inf @ sup @ a2 @ b @ c)) @ (modula1593167561_e_aux @ a @ inf @ sup @ a2 @ b @ c)) @ (modula1593167561_e_aux @ a @ inf @ sup @ a2 @ b @ c))) != $true) | (((inf @ (modula1593167561_e_aux @ a @ inf @ sup @ a2 @ b @ c) @ (sup @ (inf @ (sup @ b @ (modula1221160330_d_aux @ a @ inf @ sup @ a2 @ b @ c)) @ (modula1593167561_e_aux @ a @ inf @ sup @ a2 @ b @ c)) @ (sup @ a2 @ (modula1221160330_d_aux @ a @ inf @ sup @ a2 @ b @ c))))) != ((inf @ (modula1593167561_e_aux @ a @ inf @ sup @ a2 @ b @ c) @ (sup @ (inf @ (sup @ b @ (modula1221160330_d_aux @ a @ inf @ sup @ a2 @ b @ c)) @ (modula1593167561_e_aux @ a @ inf @ sup @ a2 @ b @ c)) @ (sup @ a2 @ (modula1221160330_d_aux @ a @ inf @ sup @ a2 @ b @ c)))))) | spl67_10),
% 0.71/0.41 inference(superposition,[],[f1543,f1137])).
% 0.71/0.41 thf(f3075,plain,(
% 0.71/0.41 (((less_eq @ (inf @ (sup @ b @ (modula1221160330_d_aux @ a @ inf @ sup @ a2 @ b @ c)) @ (modula1593167561_e_aux @ a @ inf @ sup @ a2 @ b @ c)) @ (modula1593167561_e_aux @ a @ inf @ sup @ a2 @ b @ c))) != $true) | spl67_10),
% 0.71/0.41 inference(trivial_inequality_removal,[],[f3046])).
% 0.71/0.41 thf(f3120,plain,(
% 0.71/0.41 $false | spl67_10),
% 0.71/0.41 inference(forward_subsumption_resolution,[],[f3075,f1147])).
% 0.71/0.41 thf(f3121,plain,(
% 0.71/0.41 spl67_10),
% 0.71/0.41 inference(avatar_contradiction_clause,[],[f3120])).
% 0.71/0.41 cnf(s9, plain, ~spl67_10, inference(sat_conversion,[],[f1544])).
% 0.71/0.41 cnf(s137, plain, spl67_10, inference(sat_conversion,[],[f3121])).
% 0.71/0.41 cnf(s140, plain, $false, inference(rat,[],[s9,s137])).
% 0.71/0.41 thf(f3134,plain,(
% 0.71/0.41 $false),
% 0.71/0.41 inference(avatar_sat_refutation,[],[s140])).
% 0.71/0.41 % SZS output end Proof for theBenchmark
% 0.71/0.41 % (2132060)------------------------------
% 0.71/0.41 % (2132060)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.41 % (2132060)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.41 % (2132060)CaDiCaL version: 2.1.3
% 0.71/0.41 % (2132060)Termination reason: Refutation
% 0.71/0.41 % (2132060)Time elapsed: 0.108 s
% 0.71/0.41 % (2132060)Peak memory usage: 14 MB
% 0.71/0.41 % (2132060)Instructions burned: 221 (million)
% 0.71/0.41 % (2132047)Success in time 0.146 s
% 0.71/0.41 % Vampire exiting
%------------------------------------------------------------------------------