%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP052^2 : 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 : n017.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 08:08:07 AM UTC 2026
% Result : Theorem 0.46s 0.44s
% Output : Refutation 0.46s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP052^2 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n017.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Sep 29 19:39:08 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running higher-order theorem proving
% 0.20/0.28 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
% 0.46/0.42 % (799233)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.46/0.42 % (799240)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3097869637:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.46/0.42 % (799240)Instruction limit reached!
% 0.46/0.42 % (799240)------------------------------
% 0.46/0.42 % (799240)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.46/0.42 % (799240)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.46/0.42 % (799240)CaDiCaL version: 2.1.3
% 0.46/0.42 % (799240)Termination reason: Instruction limit
% 0.46/0.42 % (799240)Termination phase: shuffling
% 0.46/0.42 % (799240)Time elapsed: 0.002 s
% 0.46/0.42 % (799240)Peak memory usage: 10 MB
% 0.46/0.42 % (799240)Instructions burned: 7 (million)
% 0.46/0.42 % (799244)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.46/0.42 % (799244)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
% 0.46/0.42 % (799238)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=744704019:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.46/0.42 % (799242)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=148362681:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.46/0.42 % (799241)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=1186908285: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)
% 0.46/0.42 % (799243)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2936831032:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.46/0.42 % (799244)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=2429071562:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.46/0.42 % (799239)lrs+10_16_si=on:nwc=1.5:random_seed=1311723636:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.46/0.42 % (799246)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3024358093:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.46/0.42 % (799246)Instruction limit reached!
% 0.46/0.42 % (799246)------------------------------
% 0.46/0.42 % (799246)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.46/0.42 % (799246)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.46/0.42 % (799246)CaDiCaL version: 2.1.3
% 0.46/0.42 % (799246)Termination reason: Instruction limit
% 0.46/0.42 % (799246)Termination phase: shuffling
% 0.46/0.42 % (799246)Time elapsed: 0.001 s
% 0.46/0.42 % (799246)Peak memory usage: 10 MB
% 0.46/0.42 % (799246)Instructions burned: 2 (million)
% 0.46/0.42 % (799239)Instruction limit reached!
% 0.46/0.42 % (799239)------------------------------
% 0.46/0.42 % (799239)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.46/0.42 % (799239)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.46/0.42 % (799239)CaDiCaL version: 2.1.3
% 0.46/0.42 % (799239)Termination reason: Instruction limit
% 0.46/0.42 % (799239)Termination phase: shuffling
% 0.46/0.42 % (799239)Time elapsed: 0.008 s
% 0.46/0.42 % (799239)Peak memory usage: 10 MB
% 0.46/0.42 % (799239)Instructions burned: 18 (million)
% 0.46/0.42 % (799242)Instruction limit reached!
% 0.46/0.42 % (799242)------------------------------
% 0.46/0.42 % (799242)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.46/0.42 % (799242)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.46/0.42 % (799242)CaDiCaL version: 2.1.3
% 0.46/0.42 % (799242)Termination reason: Instruction limit
% 0.46/0.42 % (799242)Termination phase: shuffling
% 0.46/0.42 % (799242)Time elapsed: 0.012 s
% 0.46/0.42 % (799242)Peak memory usage: 10 MB
% 0.46/0.42 % (799242)Instructions burned: 26 (million)
% 0.46/0.42 % (799254)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1021939589:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.46/0.42 % (799254)Instruction limit reached!
% 0.46/0.44 % (799254)------------------------------
% 0.46/0.44 % (799254)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.46/0.44 % (799254)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.46/0.44 % (799254)CaDiCaL version: 2.1.3
% 0.46/0.44 % (799254)Termination reason: Instruction limit
% 0.46/0.44 % (799254)Termination phase: shuffling
% 0.46/0.44 % (799254)Time elapsed: 0.002 s
% 0.46/0.44 % (799254)Peak memory usage: 10 MB
% 0.46/0.44 % (799254)Instructions burned: 6 (million)
% 0.46/0.44 % (799255)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.46/0.44 % (799255)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2663124179:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.46/0.44 % (799258)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
% 0.46/0.44 % (799258)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.46/0.44 % (799258)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3941753133:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.46/0.44 % (799256)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=2732412682:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.46/0.44 % (799255)Instruction limit reached!
% 0.46/0.44 % (799255)------------------------------
% 0.46/0.44 % (799255)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.46/0.44 % (799255)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.46/0.44 % (799255)CaDiCaL version: 2.1.3
% 0.46/0.44 % (799255)Termination reason: Instruction limit
% 0.46/0.44 % (799255)Termination phase: shuffling
% 0.46/0.44 % (799255)Time elapsed: 0.004 s
% 0.46/0.44 % (799255)Peak memory usage: 10 MB
% 0.46/0.44 % (799255)Instructions burned: 8 (million)
% 0.46/0.44 % (799243)Instruction limit reached!
% 0.46/0.44 % (799243)------------------------------
% 0.46/0.44 % (799243)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.46/0.44 % (799243)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.46/0.44 % (799243)CaDiCaL version: 2.1.3
% 0.46/0.44 % (799243)Termination reason: Instruction limit
% 0.46/0.44 % (799243)Termination phase: Preprocessing 3
% 0.46/0.44 % (799243)Time elapsed: 0.037 s
% 0.46/0.44 % (799243)Peak memory usage: 11 MB
% 0.46/0.44 % (799243)Instructions burned: 77 (million)
% 0.46/0.44 % (799256)Instruction limit reached!
% 0.46/0.44 % (799256)------------------------------
% 0.46/0.44 % (799256)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.46/0.44 % (799256)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.46/0.44 % (799256)CaDiCaL version: 2.1.3
% 0.46/0.44 % (799256)Termination reason: Instruction limit
% 0.46/0.44 % (799256)Termination phase: shuffling
% 0.46/0.44 % (799256)Time elapsed: 0.006 s
% 0.46/0.44 % (799256)Peak memory usage: 10 MB
% 0.46/0.44 % (799256)Instructions burned: 13 (million)
% 0.46/0.44 % (799258)Instruction limit reached!
% 0.46/0.44 % (799258)------------------------------
% 0.46/0.44 % (799258)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.46/0.44 % (799258)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.46/0.44 % (799258)CaDiCaL version: 2.1.3
% 0.46/0.44 % (799258)Termination reason: Instruction limit
% 0.46/0.44 % (799258)Termination phase: shuffling
% 0.46/0.44 % (799258)Time elapsed: 0.007 s
% 0.46/0.44 % (799258)Peak memory usage: 10 MB
% 0.46/0.44 % (799258)Instructions burned: 30 (million)
% 0.46/0.44 % (799238)Instruction limit reached!
% 0.46/0.44 % (799238)------------------------------
% 0.46/0.44 % (799238)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.46/0.44 % (799238)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.46/0.44 % (799238)CaDiCaL version: 2.1.3
% 0.46/0.44 % (799238)Termination reason: Instruction limit
% 0.46/0.44 % (799238)Termination phase: Property scanning
% 0.46/0.44 % (799238)Time elapsed: 0.041 s
% 0.46/0.44 % (799238)Peak memory usage: 12 MB
% 0.46/0.44 % (799238)Instructions burned: 87 (million)
% 0.46/0.44 % (799265)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=887865006:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.46/0.44 % (799262)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=2018873078:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.46/0.44 % (799264)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.46/0.44 % (799263)lrs+10_1_si=on:cs=on:random_seed=1257998207:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.46/0.44 % (799264)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=498102921:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.46/0.44 % (799265)Instruction limit reached!
% 0.46/0.44 % (799265)------------------------------
% 0.46/0.44 % (799265)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.46/0.44 % (799265)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.46/0.44 % (799265)CaDiCaL version: 2.1.3
% 0.46/0.44 % (799265)Termination reason: Instruction limit
% 0.46/0.44 % (799265)Termination phase: Property scanning
% 0.46/0.44 % (799265)Time elapsed: 0.009 s
% 0.46/0.44 % (799265)Peak memory usage: 10 MB
% 0.46/0.44 % (799265)Instructions burned: 39 (million)
% 0.46/0.44 % (799264)Instruction limit reached!
% 0.46/0.44 % (799264)------------------------------
% 0.46/0.44 % (799264)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.46/0.44 % (799264)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.46/0.44 % (799264)CaDiCaL version: 2.1.3
% 0.46/0.44 % (799264)Termination reason: Instruction limit
% 0.46/0.44 % (799264)Termination phase: shuffling
% 0.46/0.44 % (799264)Time elapsed: 0.002 s
% 0.46/0.44 % (799264)Peak memory usage: 10 MB
% 0.46/0.44 % (799264)Instructions burned: 3 (million)
% 0.46/0.44 % (799266)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=774700389:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.46/0.44 % (799263)Instruction limit reached!
% 0.46/0.44 % (799263)------------------------------
% 0.46/0.44 % (799263)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.46/0.44 % (799263)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.46/0.44 % (799263)CaDiCaL version: 2.1.3
% 0.46/0.44 % (799263)Termination reason: Instruction limit
% 0.46/0.44 % (799263)Termination phase: shuffling
% 0.46/0.44 % (799263)Time elapsed: 0.004 s
% 0.46/0.44 % (799263)Peak memory usage: 10 MB
% 0.46/0.44 % (799263)Instructions burned: 8 (million)
% 0.46/0.44 % (799271)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2831591537:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.46/0.44 % (799271)Instruction limit reached!
% 0.46/0.44 % (799271)------------------------------
% 0.46/0.44 % (799271)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.46/0.44 % (799271)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.46/0.44 % (799271)CaDiCaL version: 2.1.3
% 0.46/0.44 % (799271)Termination reason: Instruction limit
% 0.46/0.44 % (799271)Termination phase: shuffling
% 0.46/0.44 % (799271)Time elapsed: 0.006 s
% 0.46/0.44 % (799271)Peak memory usage: 10 MB
% 0.46/0.44 % (799271)Instructions burned: 27 (million)
% 0.46/0.44 % (799273)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=3195533776:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.46/0.44 % (799274)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1132663770:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.46/0.44 % (799244)Instruction limit reached!
% 0.46/0.44 % (799244)------------------------------
% 0.46/0.44 % (799244)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.46/0.44 % (799244)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.46/0.44 % (799244)CaDiCaL version: 2.1.3
% 0.46/0.44 % (799244)Termination reason: Instruction limit
% 0.46/0.44 % (799244)Termination phase: Saturation
% 0.46/0.44 % (799244)Time elapsed: 0.079 s
% 0.46/0.44 % (799244)Peak memory usage: 13 MB
% 0.46/0.44 % (799244)Instructions burned: 157 (million)
% 0.46/0.44 % (799273)Instruction limit reached!
% 0.46/0.44 % (799273)------------------------------
% 0.46/0.44 % (799273)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.46/0.44 % (799273)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.46/0.44 % (799273)CaDiCaL version: 2.1.3
% 0.46/0.44 % (799273)Termination reason: Instruction limit
% 0.46/0.44 % (799273)Termination phase: shuffling
% 0.46/0.44 % (799273)Time elapsed: 0.007 s
% 0.46/0.44 % (799273)Peak memory usage: 10 MB
% 0.46/0.44 % (799273)Instructions burned: 16 (million)
% 0.46/0.44 % (799276)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=3681590046:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 0.46/0.44 % (799262)Instruction limit reached!
% 0.46/0.44 % (799262)------------------------------
% 0.46/0.44 % (799262)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.46/0.44 % (799262)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.46/0.44 % (799262)CaDiCaL version: 2.1.3
% 0.46/0.44 % (799262)Termination reason: Instruction limit
% 0.46/0.44 % (799262)Termination phase: Preprocessing 3
% 0.46/0.44 % (799262)Time elapsed: 0.041 s
% 0.46/0.44 % (799262)Peak memory usage: 11 MB
% 0.46/0.44 % (799262)Instructions burned: 94 (million)
% 0.46/0.44 % (799276)Instruction limit reached!
% 0.46/0.44 % (799276)------------------------------
% 0.46/0.44 % (799276)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.46/0.44 % (799276)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.46/0.44 % (799276)CaDiCaL version: 2.1.3
% 0.46/0.44 % (799276)Termination reason: Instruction limit
% 0.46/0.44 % (799276)Termination phase: shuffling
% 0.46/0.44 % (799276)Time elapsed: 0.006 s
% 0.46/0.44 % (799276)Peak memory usage: 10 MB
% 0.46/0.44 % (799276)Instructions burned: 28 (million)
% 0.46/0.44 % (799266) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-799233-799266"...
% 0.46/0.44 % (799279)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=2299357623: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)
% 0.46/0.44 % (799266)...printing done.
% 0.46/0.44 % (799279)Instruction limit reached!
% 0.46/0.44 % (799279)------------------------------
% 0.46/0.44 % (799279)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.46/0.44 % (799279)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.46/0.44 % (799279)CaDiCaL version: 2.1.3
% 0.46/0.44 % (799279)Termination reason: Instruction limit
% 0.46/0.44 % (799279)Termination phase: shuffling
% 0.46/0.44 % (799279)Time elapsed: 0.002 s
% 0.46/0.44 % (799279)Peak memory usage: 10 MB
% 0.46/0.44 % (799279)Instructions burned: 5 (million)
% 0.46/0.44 % (799266)Refutation found. Thanks to Tanya!
% 0.46/0.44 % SZS status Theorem for theBenchmark
% 0.46/0.44 % SZS output start Proof for theBenchmark
% 0.46/0.44 thf(type_def_5, type, product_prod: ($tType * $tType) > $tType).
% 0.46/0.44 thf(type_def_6, type, list: $tType > $tType).
% 0.46/0.44 thf(type_def_7, type, capacity: $tType).
% 0.46/0.44 thf(type_def_8, type, set: $tType > $tType).
% 0.46/0.44 thf(type_def_9, type, nat: $tType).
% 0.46/0.44 thf(type_def_10, type, sTfun: ($tType * $tType) > $tType).
% 0.46/0.44 thf(func_def_0, type, bounded_lattice: !>[X0: $tType]:($o)).
% 0.46/0.44 thf(func_def_1, type, type: !>[X0: $tType]:($o)).
% 0.46/0.44 thf(func_def_2, type, bot: !>[X0: $tType]:($o)).
% 0.46/0.44 thf(func_def_3, type, ord: !>[X0: $tType]:($o)).
% 0.46/0.44 thf(func_def_4, type, order: !>[X0: $tType]:($o)).
% 0.46/0.44 thf(func_def_5, type, lattice: !>[X0: $tType]:($o)).
% 0.46/0.44 thf(func_def_6, type, linorder: !>[X0: $tType]:($o)).
% 0.46/0.44 thf(func_def_7, type, preorder: !>[X0: $tType]:($o)).
% 0.46/0.44 thf(func_def_8, type, order_bot: !>[X0: $tType]:($o)).
% 0.46/0.44 thf(func_def_9, type, linordered_idom: !>[X0: $tType]:($o)).
% 0.46/0.44 thf(func_def_10, type, semilattice_inf: !>[X0: $tType]:($o)).
% 0.46/0.44 thf(func_def_11, type, bounded_lattice_bot: !>[X0: $tType]:($o)).
% 0.46/0.44 thf(func_def_12, type, augmenting_augment: !>[X0: $tType]:(((product_prod @ nat @ nat > X0) > (product_prod @ nat @ nat > X0) > (product_prod @ nat @ nat > X0) > product_prod @ nat @ nat > X0))).
% 0.46/0.44 thf(func_def_13, type, augmen1604248148ngFlow: !>[X0: $tType]:(((product_prod @ nat @ nat > X0) > (product_prod @ nat @ nat > X0) > list @ product_prod @ nat @ nat > product_prod @ nat @ nat > X0))).
% 0.46/0.44 thf(func_def_14, type, augmen2028041557ngPath: !>[X0: $tType]:(((product_prod @ nat @ nat > X0) > nat > nat > (product_prod @ nat @ nat > X0) > list @ product_prod @ nat @ nat > $o))).
% 0.46/0.44 thf(func_def_15, type, augmenting_resCap: !>[X0: $tType]:(((product_prod @ nat @ nat > X0) > (product_prod @ nat @ nat > X0) > list @ product_prod @ nat @ nat > X0))).
% 0.46/0.44 thf(func_def_16, type, finite_Graph: !>[X0: $tType]:(((product_prod @ nat @ nat > X0) > $o))).
% 0.46/0.44 thf(func_def_17, type, isShortestPath: !>[X0: $tType]:(((product_prod @ nat @ nat > X0) > nat > list @ product_prod @ nat @ nat > nat > $o))).
% 0.46/0.44 thf(func_def_18, type, isSimplePath: !>[X0: $tType]:(((product_prod @ nat @ nat > X0) > nat > list @ product_prod @ nat @ nat > nat > $o))).
% 0.46/0.44 thf(func_def_19, type, plus_plus: !>[X0: $tType]:((X0 > X0 > X0))).
% 0.46/0.44 thf(func_def_20, type, zero_zero: !>[X0: $tType]:(X0)).
% 0.46/0.44 thf(func_def_21, type, inf_inf: !>[X0: $tType]:((X0 > X0 > X0))).
% 0.46/0.44 thf(func_def_22, type, set2: !>[X0: $tType]:((list @ X0 > set @ X0))).
% 0.46/0.44 thf(func_def_23, type, finite_Preflow: !>[X0: $tType]:(((product_prod @ nat @ nat > X0) > nat > nat > (product_prod @ nat @ nat > X0) > $o))).
% 0.46/0.44 thf(func_def_24, type, flow: !>[X0: $tType]:(((product_prod @ nat @ nat > X0) > nat > nat > (product_prod @ nat @ nat > X0) > $o))).
% 0.46/0.44 thf(func_def_25, type, val: !>[X0: $tType]:(((product_prod @ nat @ nat > X0) > nat > (product_prod @ nat @ nat > X0) > X0))).
% 0.46/0.44 thf(func_def_26, type, nCut: !>[X0: $tType]:(((product_prod @ nat @ nat > X0) > nat > nat > set @ nat > $o))).
% 0.46/0.44 thf(func_def_27, type, cap: !>[X0: $tType]:(((product_prod @ nat @ nat > X0) > set @ nat > X0))).
% 0.46/0.44 thf(func_def_28, type, nFlow: !>[X0: $tType]:(((product_prod @ nat @ nat > X0) > nat > nat > (product_prod @ nat @ nat > X0) > $o))).
% 0.46/0.44 thf(func_def_29, type, nPreflow: !>[X0: $tType]:(((product_prod @ nat @ nat > X0) > nat > nat > (product_prod @ nat @ nat > X0) > $o))).
% 0.46/0.44 thf(func_def_30, type, network: !>[X0: $tType]:(((product_prod @ nat @ nat > X0) > nat > nat > $o))).
% 0.46/0.44 thf(func_def_31, type, excess: !>[X0: $tType]:(((product_prod @ nat @ nat > X0) > (product_prod @ nat @ nat > X0) > nat > X0))).
% 0.46/0.44 thf(func_def_32, type, isMaxFlow: !>[X0: $tType]:(((product_prod @ nat @ nat > X0) > nat > nat > (product_prod @ nat @ nat > X0) > $o))).
% 0.46/0.44 thf(func_def_33, type, is_max_flow_val: !>[X0: $tType]:(((product_prod @ nat @ nat > X0) > nat > nat > X0 > $o))).
% 0.46/0.44 thf(func_def_34, type, preflow: !>[X0: $tType]:(((product_prod @ nat @ nat > X0) > nat > nat > (product_prod @ nat @ nat > X0) > $o))).
% 0.46/0.44 thf(func_def_35, type, isMinCut: !>[X0: $tType]:(((product_prod @ nat @ nat > X0) > nat > nat > set @ nat > $o))).
% 0.46/0.44 thf(func_def_36, type, bot_bot: !>[X0: $tType]:(X0)).
% 0.46/0.44 thf(func_def_37, type, ord_less: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.46/0.44 thf(func_def_38, type, ord_less_eq: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.46/0.44 thf(func_def_39, type, product_Pair: !>[X0: $tType, X1: $tType]:((X0 > X1 > product_prod @ X0 @ X1))).
% 0.46/0.44 thf(func_def_40, type, product_swap: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > product_prod @ X1 @ X0))).
% 0.46/0.44 thf(func_def_41, type, converse: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X1 > set @ product_prod @ X1 @ X0))).
% 0.46/0.44 thf(func_def_42, type, residual_flow_of_cf: !>[X0: $tType]:(((product_prod @ nat @ nat > X0) > (product_prod @ nat @ nat > X0) > product_prod @ nat @ nat > X0))).
% 0.46/0.44 thf(func_def_43, type, residual_RGraph: !>[X0: $tType]:(((product_prod @ nat @ nat > X0) > nat > nat > (product_prod @ nat @ nat > X0) > $o))).
% 0.46/0.44 thf(func_def_44, type, residual_RPreGraph: !>[X0: $tType]:(((product_prod @ nat @ nat > X0) > nat > nat > (product_prod @ nat @ nat > X0) > $o))).
% 0.46/0.44 thf(func_def_45, type, residu1993642540lGraph: !>[X0: $tType]:(((product_prod @ nat @ nat > X0) > (product_prod @ nat @ nat > X0) > product_prod @ nat @ nat > X0))).
% 0.46/0.44 thf(func_def_46, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 0.46/0.44 thf(func_def_47, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 0.46/0.44 thf(func_def_48, type, c: (product_prod @ nat @ nat > capacity)).
% 0.46/0.44 thf(func_def_49, type, f: (product_prod @ nat @ nat > capacity)).
% 0.46/0.44 thf(func_def_50, type, p: list @ product_prod @ nat @ nat).
% 0.46/0.44 thf(func_def_51, type, s: nat).
% 0.46/0.44 thf(func_def_52, type, t: nat).
% 0.46/0.44 thf(func_def_56, type, vNOT: ($o > $o)).
% 0.46/0.44 thf(func_def_57, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.46/0.44 thf(func_def_58, type, db0: !>[X0: $tType]:(X0)).
% 0.46/0.44 thf(func_def_59, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.46/0.44 thf(func_def_60, type, db1: !>[X0: $tType]:(X0)).
% 0.46/0.44 thf(func_def_61, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.46/0.44 thf(func_def_62, type, vAND: ($o > $o > $o)).
% 0.46/0.44 thf(func_def_63, type, db2: !>[X0: $tType]:(X0)).
% 0.46/0.44 thf(func_def_64, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.46/0.44 thf(func_def_65, type, vIMP: ($o > $o > $o)).
% 0.46/0.44 thf(func_def_66, type, db3: !>[X0: $tType]:(X0)).
% 0.46/0.44 thf(func_def_67, type, db4: !>[X0: $tType]:(X0)).
% 0.46/0.44 thf(func_def_68, type, vOR: ($o > $o > $o)).
% 0.46/0.44 thf(func_def_69, type, sK0: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > set @ product_prod @ X1 @ X0 > X1))).
% 0.46/0.44 thf(func_def_70, type, sK1: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > set @ product_prod @ X1 @ X0 > X0))).
% 0.46/0.44 thf(func_def_71, type, sK2: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > set @ product_prod @ X1 @ X0 > X0))).
% 0.46/0.44 thf(func_def_72, type, sK3: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > set @ product_prod @ X1 @ X0 > X1))).
% 0.46/0.44 thf(func_def_73, type, sK4: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > X1) > X0))).
% 0.46/0.44 thf(func_def_74, type, sK5: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 0.46/0.44 thf(func_def_75, type, sK6: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 0.46/0.44 thf(func_def_76, type, sK7: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 0.46/0.44 thf(func_def_77, type, sK8: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 0.46/0.44 thf(func_def_78, type, sK9: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 0.46/0.44 thf(func_def_79, type, sK10: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 0.46/0.44 thf(func_def_80, type, sK11: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 0.46/0.44 thf(f6,axiom,(
% 0.46/0.44 ! [X0 : list @ product_prod @ nat @ nat] : (((augmen2028041557ngPath @ capacity @ c @ s @ t @ f @ X0)) = ((isSimplePath @ capacity @ (residu1993642540lGraph @ capacity @ c @ f) @ s @ X0 @ t)))),
% 0.46/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5_isAugmentingPath__def)).
% 0.46/0.44 thf(f56,axiom,(
% 0.46/0.44 ! [X0 : $tType] : (linordered_idom @ X0 => ! [X4 : nat,X2 : nat,X1 : (product_prod @ nat @ nat > X0),X3 : list @ product_prod @ nat @ nat] : ((isSimplePath @ X0 @ X1 @ X2 @ X3 @ X4) => (((inf_inf @ set @ product_prod @ nat @ nat @ (set2 @ product_prod @ nat @ nat @ X3) @ (converse @ nat @ nat @ (set2 @ product_prod @ nat @ nat @ X3)))) = bot_bot @ set @ product_prod @ nat @ nat)))),
% 0.46/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_55_Graph_OisSPath__nt__parallel__pf)).
% 0.46/0.44 thf(f298,axiom,(
% 0.46/0.44 linordered_idom @ capacity),
% 0.46/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tfree_0)).
% 0.46/0.44 thf(f299,axiom,(
% 0.46/0.44 (augmen2028041557ngPath @ capacity @ c @ s @ t @ f @ p)),
% 0.46/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)).
% 0.46/0.44 thf(f300,conjecture,(
% 0.46/0.44 (((inf_inf @ set @ product_prod @ nat @ nat @ (set2 @ product_prod @ nat @ nat @ p) @ (converse @ nat @ nat @ (set2 @ product_prod @ nat @ nat @ p)))) = bot_bot @ set @ product_prod @ nat @ nat)),
% 0.46/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1)).
% 0.46/0.44 thf(f301,negated_conjecture,(
% 0.46/0.44 ~ (((inf_inf @ set @ product_prod @ nat @ nat @ (set2 @ product_prod @ nat @ nat @ p) @ (converse @ nat @ nat @ (set2 @ product_prod @ nat @ nat @ p)))) = bot_bot @ set @ product_prod @ nat @ nat)),
% 0.46/0.44 inference(negated_conjecture,[status(cth)],[f300])).
% 0.46/0.44 thf(f310,plain,(
% 0.46/0.44 (augmen2028041557ngPath @ capacity @ c @ s @ t @ f @ p)),
% 0.46/0.44 inference(rectify,[],[f299])).
% 0.46/0.44 thf(f311,plain,(
% 0.46/0.44 (((augmen2028041557ngPath @ capacity @ c @ s @ t @ f @ p)) = $true)),
% 0.46/0.44 inference(fool_elimination,[],[f310])).
% 0.46/0.44 thf(f444,plain,(
% 0.46/0.44 ! [X0 : $tType] : (linordered_idom @ X0 => ! [X1 : nat,X2 : nat,X3 : (product_prod @ nat @ nat > X0),X4 : list @ product_prod @ nat @ nat] : ((isSimplePath @ X0 @ X3 @ X2 @ X4 @ X1) => (bot_bot @ set @ product_prod @ nat @ nat = ((inf_inf @ set @ product_prod @ nat @ nat @ (set2 @ product_prod @ nat @ nat @ X4) @ (converse @ nat @ nat @ (set2 @ product_prod @ nat @ nat @ X4)))))))),
% 0.46/0.45 inference(rectify,[],[f56])).
% 0.46/0.45 thf(f445,plain,(
% 0.46/0.45 ! [X0 : $tType] : ((linordered_idom @ X0 = $true) => ! [X2 : nat,X4 : list @ product_prod @ nat @ nat,X1 : nat,X3 : (product_prod @ nat @ nat > X0)] : (($true = ((isSimplePath @ X0 @ X3 @ X2 @ X4 @ X1))) => (bot_bot @ set @ product_prod @ nat @ nat = ((inf_inf @ set @ product_prod @ nat @ nat @ (set2 @ product_prod @ nat @ nat @ X4) @ (converse @ nat @ nat @ (set2 @ product_prod @ nat @ nat @ X4)))))))),
% 0.46/0.45 inference(fool_elimination,[],[f444])).
% 0.46/0.45 thf(f580,plain,(
% 0.46/0.45 linordered_idom @ capacity),
% 0.46/0.45 inference(rectify,[],[f298])).
% 0.46/0.45 thf(f581,plain,(
% 0.46/0.45 (linordered_idom @ capacity = $true)),
% 0.46/0.45 inference(fool_elimination,[],[f580])).
% 0.46/0.45 thf(f855,plain,(
% 0.46/0.45 (bot_bot @ set @ product_prod @ nat @ nat != ((inf_inf @ set @ product_prod @ nat @ nat @ (set2 @ product_prod @ nat @ nat @ p) @ (converse @ nat @ nat @ (set2 @ product_prod @ nat @ nat @ p)))))),
% 0.46/0.45 inference(flattening,[],[f301])).
% 0.46/0.45 thf(f896,plain,(
% 0.46/0.45 ! [X0 : $tType] : ((linordered_idom @ X0 != $true) | ! [X1 : nat,X3 : (product_prod @ nat @ nat > X0),X4 : list @ product_prod @ nat @ nat,X2 : nat] : (($true != ((isSimplePath @ X0 @ X3 @ X2 @ X4 @ X1))) | (bot_bot @ set @ product_prod @ nat @ nat = ((inf_inf @ set @ product_prod @ nat @ nat @ (set2 @ product_prod @ nat @ nat @ X4) @ (converse @ nat @ nat @ (set2 @ product_prod @ nat @ nat @ X4)))))))),
% 0.46/0.45 inference(ennf_transformation,[],[f445])).
% 0.46/0.45 thf(f988,plain,(
% 0.46/0.45 ! [X0 : $tType] : ((linordered_idom @ X0 != $true) | ! [X1 : nat,X2 : (product_prod @ nat @ nat > X0),X3 : list @ product_prod @ nat @ nat,X4 : nat] : (($true != ((isSimplePath @ X0 @ X2 @ X4 @ X3 @ X1))) | (bot_bot @ set @ product_prod @ nat @ nat = ((inf_inf @ set @ product_prod @ nat @ nat @ (set2 @ product_prod @ nat @ nat @ X3) @ (converse @ nat @ nat @ (set2 @ product_prod @ nat @ nat @ X3)))))))),
% 0.46/0.45 inference(rectify,[],[f896])).
% 0.46/0.45 thf(f1025,plain,(
% 0.46/0.45 ( ! [X0 : list @ product_prod @ nat @ nat] : ((((augmen2028041557ngPath @ capacity @ c @ s @ t @ f @ X0)) = ((isSimplePath @ capacity @ (residu1993642540lGraph @ capacity @ c @ f) @ s @ X0 @ t)))) )),
% 0.46/0.45 inference(cnf_transformation,[],[f6])).
% 0.46/0.45 thf(f1046,plain,(
% 0.46/0.45 (linordered_idom @ capacity = $true)),
% 0.46/0.45 inference(cnf_transformation,[],[f581])).
% 0.46/0.45 thf(f1067,plain,(
% 0.46/0.45 ( ! [X0 : $tType,X2 : (product_prod @ nat @ nat > X0),X3 : list @ product_prod @ nat @ nat,X1 : nat,X4 : nat] : ((bot_bot @ set @ product_prod @ nat @ nat = ((inf_inf @ set @ product_prod @ nat @ nat @ (set2 @ product_prod @ nat @ nat @ X3) @ (converse @ nat @ nat @ (set2 @ product_prod @ nat @ nat @ X3))))) | ($true != ((isSimplePath @ X0 @ X2 @ X4 @ X3 @ X1))) | (linordered_idom @ X0 != $true)) )),
% 0.46/0.45 inference(cnf_transformation,[],[f988])).
% 0.46/0.45 thf(f1072,plain,(
% 0.46/0.45 (((augmen2028041557ngPath @ capacity @ c @ s @ t @ f @ p)) = $true)),
% 0.46/0.45 inference(cnf_transformation,[],[f311])).
% 0.46/0.45 thf(f1079,plain,(
% 0.46/0.45 (bot_bot @ set @ product_prod @ nat @ nat != ((inf_inf @ set @ product_prod @ nat @ nat @ (set2 @ product_prod @ nat @ nat @ p) @ (converse @ nat @ nat @ (set2 @ product_prod @ nat @ nat @ p)))))),
% 0.46/0.45 inference(cnf_transformation,[],[f855])).
% 0.46/0.45 thf(f1090,plain,(
% 0.46/0.45 ( ! [X0 : $tType,X2 : nat,X3 : nat,X1 : (product_prod @ nat @ nat > X0)] : ((bot_bot @ set @ product_prod @ nat @ nat != bot_bot @ set @ product_prod @ nat @ nat) | (((isSimplePath @ X0 @ X1 @ X2 @ p @ X3)) != $true) | (linordered_idom @ X0 != $true)) )),
% 0.46/0.45 inference(superposition,[],[f1079,f1067])).
% 0.46/0.45 thf(f1097,plain,(
% 0.46/0.45 ( ! [X0 : $tType,X2 : nat,X3 : nat,X1 : (product_prod @ nat @ nat > X0)] : ((((isSimplePath @ X0 @ X1 @ X2 @ p @ X3)) != $true) | (linordered_idom @ X0 != $true)) )),
% 0.46/0.45 inference(trivial_inequality_removal,[],[f1090])).
% 0.46/0.45 thf(f1134,plain,(
% 0.46/0.45 (((augmen2028041557ngPath @ capacity @ c @ s @ t @ f @ p)) != $true) | (linordered_idom @ capacity != $true)),
% 0.46/0.45 inference(superposition,[],[f1097,f1025])).
% 0.46/0.45 thf(f1139,plain,(
% 0.46/0.45 (linordered_idom @ capacity != $true)),
% 0.46/0.45 inference(forward_subsumption_resolution,[],[f1134,f1072])).
% 0.46/0.45 thf(f1140,plain,(
% 0.46/0.45 $false),
% 0.46/0.45 inference(forward_subsumption_resolution,[],[f1139,f1046])).
% 0.46/0.45 % SZS output end Proof for theBenchmark
% 0.46/0.45 % (799266)------------------------------
% 0.46/0.45 % (799266)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.46/0.45 % (799266)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.46/0.45 % (799266)CaDiCaL version: 2.1.3
% 0.46/0.45 % (799266)Termination reason: Refutation
% 0.46/0.45 % (799266)Time elapsed: 0.039 s
% 0.46/0.45 % (799266)Peak memory usage: 13 MB
% 0.46/0.45 % (799266)Instructions burned: 81 (million)
% 0.46/0.45 % (799233)Success in time 0.154 s
% 0.46/0.45 % Vampire exiting
%------------------------------------------------------------------------------