%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP053^2 : 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 : n012.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 08:08:08 AM UTC 2026
% Result : Theorem 1.14s 0.44s
% Output : Refutation 1.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : ITP053^2 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.00/0.11 % Computer : n012.cluster.edu
% 0.00/0.11 % Model : x86_64 x86_64
% 0.00/0.11 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.11 % Memory : 8046.5625MB
% 0.00/0.11 % OS : Linux 6.8.0-71-generic
% 0.00/0.11 % CPULimit : 300
% 0.00/0.11 % WCLimit : 300
% 0.00/0.11 % DateTime : Tue Sep 29 19:43:34 UTC 2026
% 0.00/0.11 % CPUTime :
% 0.00/0.11 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.13 Running higher-order theorem proving
% 0.09/0.16 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
% 0.39/0.26 % (588290)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.39/0.26 % (588301)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.39/0.26 % (588301)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
% 0.39/0.26 % (588301)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=2546253461:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.39/0.26 % (588299)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=4226662252:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.39/0.26 % (588300)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1590101223:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.39/0.26 % (588295)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=847522339:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.39/0.26 % (588297)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=404036524:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.39/0.26 % (588298)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=1150780477: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)
% 0.39/0.26 % (588296)lrs+10_16_si=on:nwc=1.5:random_seed=2072147658:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.39/0.26 % (588297)Instruction limit reached!
% 0.39/0.26 % (588297)------------------------------
% 0.39/0.26 % (588297)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.39/0.26 % (588297)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.39/0.26 % (588297)CaDiCaL version: 2.1.3
% 0.39/0.26 % (588297)Termination reason: Instruction limit
% 0.39/0.26 % (588297)Termination phase: shuffling
% 0.39/0.26 % (588297)Time elapsed: 0.001 s
% 0.39/0.26 % (588297)Peak memory usage: 10 MB
% 0.39/0.26 % (588297)Instructions burned: 5 (million)
% 0.39/0.26 % (588296)Instruction limit reached!
% 0.39/0.26 % (588296)------------------------------
% 0.39/0.26 % (588296)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.39/0.26 % (588296)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.39/0.26 % (588296)CaDiCaL version: 2.1.3
% 0.39/0.26 % (588296)Termination reason: Instruction limit
% 0.39/0.26 % (588296)Termination phase: shuffling
% 0.39/0.26 % (588296)Time elapsed: 0.005 s
% 0.39/0.26 % (588296)Peak memory usage: 10 MB
% 0.39/0.26 % (588296)Instructions burned: 22 (million)
% 0.39/0.26 % (588299)Instruction limit reached!
% 0.39/0.26 % (588299)------------------------------
% 0.39/0.26 % (588299)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.39/0.26 % (588299)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.39/0.26 % (588299)CaDiCaL version: 2.1.3
% 0.39/0.26 % (588299)Termination reason: Instruction limit
% 0.39/0.26 % (588299)Termination phase: Property scanning
% 0.39/0.26 % (588299)Time elapsed: 0.012 s
% 0.39/0.26 % (588299)Peak memory usage: 10 MB
% 0.39/0.26 % (588299)Instructions burned: 26 (million)
% 0.39/0.26 % (588309)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=451663475:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.39/0.26 % (588309)Instruction limit reached!
% 0.39/0.26 % (588309)------------------------------
% 0.39/0.26 % (588309)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.39/0.26 % (588309)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.39/0.26 % (588309)CaDiCaL version: 2.1.3
% 0.39/0.26 % (588309)Termination reason: Instruction limit
% 0.39/0.26 % (588309)Termination phase: shuffling
% 0.39/0.26 % (588309)Time elapsed: 0.003 s
% 0.39/0.26 % (588309)Peak memory usage: 10 MB
% 0.39/0.26 % (588309)Instructions burned: 11 (million)
% 0.39/0.26 % (588310)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=120294431:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.39/0.26 % (588300)Instruction limit reached!
% 0.39/0.29 % (588300)------------------------------
% 0.39/0.29 % (588300)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.39/0.29 % (588311)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.39/0.29 % (588310)Instruction limit reached!
% 0.39/0.29 % (588310)------------------------------
% 0.39/0.29 % (588310)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.39/0.29 % (588300)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.39/0.29 % (588310)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.39/0.29 % (588300)CaDiCaL version: 2.1.3
% 0.39/0.29 % (588300)Termination reason: Instruction limit
% 0.39/0.29 % (588300)Termination phase: Property scanning
% 0.39/0.29 % (588300)Time elapsed: 0.020 s
% 0.39/0.29 % (588310)CaDiCaL version: 2.1.3
% 0.39/0.29 % (588300)Peak memory usage: 12 MB
% 0.39/0.29 % (588310)Termination reason: Instruction limit
% 0.39/0.29 % (588310)Termination phase: shuffling
% 0.39/0.29 % (588300)Instructions burned: 80 (million)
% 0.39/0.29 % (588310)Time elapsed: 0.003 s
% 0.39/0.29 % (588310)Peak memory usage: 10 MB
% 0.39/0.29 % (588310)Instructions burned: 14 (million)
% 0.39/0.29 % (588311)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2228147423:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.39/0.29 % (588311)Instruction limit reached!
% 0.39/0.29 % (588311)------------------------------
% 0.39/0.29 % (588311)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.39/0.29 % (588311)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.39/0.29 % (588311)CaDiCaL version: 2.1.3
% 0.39/0.29 % (588311)Termination reason: Instruction limit
% 0.39/0.29 % (588311)Termination phase: shuffling
% 0.39/0.29 % (588311)Time elapsed: 0.003 s
% 0.39/0.29 % (588311)Peak memory usage: 10 MB
% 0.39/0.29 % (588311)Instructions burned: 11 (million)
% 0.39/0.29 % (588295)Instruction limit reached!
% 0.39/0.29 % (588295)------------------------------
% 0.39/0.29 % (588295)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.39/0.29 % (588295)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.39/0.29 % (588295)CaDiCaL version: 2.1.3
% 0.39/0.29 % (588295)Termination reason: Instruction limit
% 0.39/0.29 % (588295)Termination phase: Property scanning
% 0.39/0.29 % (588295)Time elapsed: 0.027 s
% 0.39/0.29 % (588295)Peak memory usage: 12 MB
% 0.39/0.29 % (588295)Instructions burned: 91 (million)
% 0.39/0.29 % (588314)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3470163236:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.39/0.29 % (588315)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
% 0.39/0.29 % (588315)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.39/0.29 % (588314)Instruction limit reached!
% 0.39/0.29 % (588314)------------------------------
% 0.39/0.29 % (588314)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.39/0.29 % (588314)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.39/0.29 % (588314)CaDiCaL version: 2.1.3
% 0.39/0.29 % (588314)Termination reason: Instruction limit
% 0.39/0.29 % (588314)Termination phase: shuffling
% 0.39/0.29 % (588314)Time elapsed: 0.003 s
% 0.39/0.29 % (588314)Peak memory usage: 10 MB
% 0.39/0.29 % (588314)Instructions burned: 12 (million)
% 0.39/0.29 % (588315)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1734959452:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.39/0.29 % (588316)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=56173550:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.39/0.29 % (588318)lrs+10_1_si=on:cs=on:random_seed=660139081:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.39/0.29 % (588320)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.39/0.31 % (588318)Instruction limit reached!
% 0.39/0.31 % (588318)------------------------------
% 0.39/0.31 % (588318)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.39/0.31 % (588318)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.39/0.31 % (588318)CaDiCaL version: 2.1.3
% 0.39/0.31 % (588318)Termination reason: Instruction limit
% 0.39/0.31 % (588318)Termination phase: shuffling
% 0.39/0.31 % (588318)Time elapsed: 0.003 s
% 0.39/0.31 % (588318)Peak memory usage: 10 MB
% 0.39/0.31 % (588318)Instructions burned: 13 (million)
% 0.39/0.31 % (588320)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=1682706008:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.39/0.31 % (588320)Instruction limit reached!
% 0.39/0.31 % (588320)------------------------------
% 0.39/0.31 % (588320)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.39/0.31 % (588320)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.39/0.31 % (588320)CaDiCaL version: 2.1.3
% 0.39/0.31 % (588320)Termination reason: Instruction limit
% 0.39/0.31 % (588320)Termination phase: shuffling
% 0.39/0.31 % (588320)Time elapsed: 0.001 s
% 0.39/0.31 % (588320)Peak memory usage: 10 MB
% 0.39/0.31 % (588320)Instructions burned: 5 (million)
% 0.39/0.31 % (588301)Instruction limit reached!
% 0.39/0.31 % (588301)------------------------------
% 0.39/0.31 % (588301)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.39/0.31 % (588315)Instruction limit reached!
% 0.39/0.31 % (588315)------------------------------
% 0.39/0.31 % (588315)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.39/0.31 % (588301)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.39/0.31 % (588301)CaDiCaL version: 2.1.3
% 0.39/0.31 % (588301)Termination reason: Instruction limit
% 0.39/0.31 % (588301)Termination phase: Saturation
% 0.39/0.31 % (588301)Time elapsed: 0.044 s
% 0.39/0.31 % (588301)Peak memory usage: 14 MB
% 0.39/0.31 % (588315)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.39/0.31 % (588301)Instructions burned: 158 (million)
% 0.39/0.31 % (588315)CaDiCaL version: 2.1.3
% 0.39/0.31 % (588315)Termination reason: Instruction limit
% 0.39/0.31 % (588315)Termination phase: shuffling
% 0.39/0.31 % (588315)Time elapsed: 0.013 s
% 0.39/0.31 % (588315)Peak memory usage: 10 MB
% 0.39/0.31 % (588315)Instructions burned: 28 (million)
% 0.39/0.31 % (588323)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=2539271629:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.39/0.31 % (588325)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=2599566907:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.39/0.31 % (588316)Instruction limit reached!
% 0.39/0.31 % (588316)------------------------------
% 0.39/0.31 % (588316)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.39/0.31 % (588316)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.39/0.31 % (588316)CaDiCaL version: 2.1.3
% 0.39/0.31 % (588316)Termination reason: Instruction limit
% 0.39/0.31 % (588316)Termination phase: Preprocessing 3
% 0.39/0.31 % (588316)Time elapsed: 0.030 s
% 0.39/0.31 % (588316)Peak memory usage: 11 MB
% 0.39/0.31 % (588316)Instructions burned: 87 (million)
% 0.39/0.31 % (588328)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=1345441519:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2999 on theBenchmark for (2999ds/14Mi)
% 0.39/0.31 % (588327)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1343185179:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/25Mi)
% 0.39/0.31 % (588329)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=3011867795:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/327Mi)
% 0.39/0.31 % (588328)Instruction limit reached!
% 0.39/0.31 % (588328)------------------------------
% 0.39/0.31 % (588328)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.39/0.31 % (588328)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.39/0.31 % (588328)CaDiCaL version: 2.1.3
% 0.39/0.31 % (588328)Termination reason: Instruction limit
% 0.39/0.31 % (588328)Termination phase: shuffling
% 0.39/0.31 % (588328)Time elapsed: 0.004 s
% 0.39/0.35 % (588328)Peak memory usage: 10 MB
% 0.39/0.35 % (588328)Instructions burned: 16 (million)
% 0.39/0.35 % (588323)Instruction limit reached!
% 0.39/0.35 % (588323)------------------------------
% 0.39/0.35 % (588323)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.39/0.35 % (588323)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.39/0.35 % (588323)CaDiCaL version: 2.1.3
% 0.39/0.35 % (588323)Termination reason: Instruction limit
% 0.39/0.35 % (588323)Termination phase: SInE selection
% 0.39/0.35 % (588323)Time elapsed: 0.017 s
% 0.39/0.35 % (588323)Peak memory usage: 11 MB
% 0.39/0.35 % (588323)Instructions burned: 39 (million)
% 0.39/0.35 % (588327)Instruction limit reached!
% 0.39/0.35 % (588327)------------------------------
% 0.39/0.35 % (588327)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.39/0.35 % (588327)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.39/0.35 % (588327)CaDiCaL version: 2.1.3
% 0.39/0.35 % (588327)Termination reason: Instruction limit
% 0.39/0.35 % (588327)Termination phase: Property scanning
% 0.39/0.35 % (588327)Time elapsed: 0.006 s
% 0.39/0.35 % (588327)Peak memory usage: 10 MB
% 0.39/0.35 % (588327)Instructions burned: 25 (million)
% 0.39/0.35 % (588332)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=2842719012:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/14Mi)
% 0.39/0.35 % (588332)Instruction limit reached!
% 0.39/0.35 % (588332)------------------------------
% 0.39/0.35 % (588332)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.39/0.35 % (588332)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.39/0.35 % (588332)CaDiCaL version: 2.1.3
% 0.39/0.35 % (588332)Termination reason: Instruction limit
% 0.39/0.35 % (588332)Termination phase: shuffling
% 0.39/0.35 % (588332)Time elapsed: 0.004 s
% 0.39/0.35 % (588332)Peak memory usage: 10 MB
% 0.39/0.35 % (588332)Instructions burned: 17 (million)
% 0.39/0.35 % (588336)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=4102665555: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)
% 0.39/0.35 % (588336)Instruction limit reached!
% 0.39/0.35 % (588336)------------------------------
% 0.39/0.35 % (588336)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.39/0.35 % (588336)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.39/0.35 % (588336)CaDiCaL version: 2.1.3
% 0.39/0.35 % (588336)Termination reason: Instruction limit
% 0.39/0.35 % (588336)Termination phase: shuffling
% 0.39/0.35 % (588336)Time elapsed: 0.001 s
% 0.39/0.35 % (588336)Peak memory usage: 10 MB
% 0.39/0.35 % (588336)Instructions burned: 3 (million)
% 0.39/0.35 % (588337)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2838529014:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 0.39/0.35 % (588338)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=2849065543:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 0.39/0.35 % (588337)Instruction limit reached!
% 0.39/0.35 % (588337)------------------------------
% 0.39/0.35 % (588337)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.39/0.35 % (588337)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.39/0.35 % (588337)CaDiCaL version: 2.1.3
% 0.39/0.35 % (588337)Termination reason: Instruction limit
% 0.39/0.35 % (588337)Termination phase: shuffling
% 0.39/0.35 % (588337)Time elapsed: 0.006 s
% 0.39/0.35 % (588337)Peak memory usage: 10 MB
% 0.39/0.35 % (588337)Instructions burned: 27 (million)
% 0.39/0.35 % (588342)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
% 0.39/0.35 % (588342)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 0.39/0.35 % (588338)Instruction limit reached!
% 0.39/0.35 % (588338)------------------------------
% 0.39/0.35 % (588338)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.39/0.35 % (588338)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.39/0.35 % (588338)CaDiCaL version: 2.1.3
% 0.39/0.35 % (588338)Termination reason: Instruction limit
% 1.14/0.39 % (588338)Termination phase: Property scanning
% 1.14/0.39 % (588338)Time elapsed: 0.006 s
% 1.14/0.39 % (588338)Peak memory usage: 10 MB
% 1.14/0.39 % (588338)Instructions burned: 27 (million)
% 1.14/0.39 % (588341)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=1865331563:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.14/0.39 % (588342)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=141984663:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.14/0.39 % (588342)Instruction limit reached!
% 1.14/0.39 % (588342)------------------------------
% 1.14/0.39 % (588342)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.14/0.39 % (588342)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.14/0.39 % (588342)CaDiCaL version: 2.1.3
% 1.14/0.39 % (588342)Termination reason: Instruction limit
% 1.14/0.39 % (588342)Termination phase: shuffling
% 1.14/0.39 % (588342)Time elapsed: 0.004 s
% 1.14/0.39 % (588342)Peak memory usage: 10 MB
% 1.14/0.39 % (588342)Instructions burned: 16 (million)
% 1.14/0.39 % (588345)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.14/0.39 % (588345)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=1763898723:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.14/0.39 % (588346)dis+1004_50_to=lpo:drc=off:fde=unused:cnfonf=lazy_not_gen_be_off:si=on:sp=reverse_arity:spb=units:cbe=off:foolp=on:random_seed=1437337920:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.14/0.39 % (588345)Instruction limit reached!
% 1.14/0.39 % (588345)------------------------------
% 1.14/0.39 % (588345)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.14/0.39 % (588345)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.14/0.39 % (588345)CaDiCaL version: 2.1.3
% 1.14/0.39 % (588345)Termination reason: Instruction limit
% 1.14/0.39 % (588345)Termination phase: shuffling
% 1.14/0.39 % (588345)Time elapsed: 0.003 s
% 1.14/0.39 % (588345)Peak memory usage: 10 MB
% 1.14/0.39 % (588345)Instructions burned: 12 (million)
% 1.14/0.39 % (588341)Instruction limit reached!
% 1.14/0.39 % (588341)------------------------------
% 1.14/0.39 % (588341)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.14/0.39 % (588341)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.14/0.39 % (588341)CaDiCaL version: 2.1.3
% 1.14/0.39 % (588341)Termination reason: Instruction limit
% 1.14/0.39 % (588341)Termination phase: Property scanning
% 1.14/0.39 % (588341)Time elapsed: 0.015 s
% 1.14/0.39 % (588341)Peak memory usage: 12 MB
% 1.14/0.39 % (588341)Instructions burned: 61 (million)
% 1.14/0.39 % (588349)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=2443305843:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 1.14/0.39 % (588346)Instruction limit reached!
% 1.14/0.39 % (588346)------------------------------
% 1.14/0.39 % (588346)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.14/0.39 % (588346)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.14/0.39 % (588346)CaDiCaL version: 2.1.3
% 1.14/0.39 % (588346)Termination reason: Instruction limit
% 1.14/0.39 % (588346)Termination phase: shuffling
% 1.14/0.39 % (588346)Time elapsed: 0.007 s
% 1.14/0.39 % (588346)Peak memory usage: 10 MB
% 1.14/0.39 % (588346)Instructions burned: 32 (million)
% 1.14/0.39 % (588349)Instruction limit reached!
% 1.14/0.39 % (588349)------------------------------
% 1.14/0.39 % (588349)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.14/0.39 % (588349)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.14/0.39 % (588349)CaDiCaL version: 2.1.3
% 1.14/0.39 % (588349)Termination reason: Instruction limit
% 1.14/0.39 % (588349)Termination phase: shuffling
% 1.14/0.39 % (588349)Time elapsed: 0.002 s
% 1.14/0.39 % (588349)Peak memory usage: 10 MB
% 1.14/0.39 % (588349)Instructions burned: 10 (million)
% 1.14/0.39 % (588352)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=2059721651:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.14/0.39 % (588354)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1275191906:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 1.14/0.42 % (588355)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=3269118975:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 1.14/0.42 % (588356)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=2958393259:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/143Mi)
% 1.14/0.42 % (588352)Instruction limit reached!
% 1.14/0.42 % (588352)------------------------------
% 1.14/0.42 % (588352)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.14/0.42 % (588352)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.14/0.42 % (588352)CaDiCaL version: 2.1.3
% 1.14/0.42 % (588352)Termination reason: Instruction limit
% 1.14/0.42 % (588352)Termination phase: shuffling
% 1.14/0.42 % (588352)Time elapsed: 0.007 s
% 1.14/0.42 % (588352)Peak memory usage: 10 MB
% 1.14/0.42 % (588352)Instructions burned: 27 (million)
% 1.14/0.42 % (588354)Instruction limit reached!
% 1.14/0.42 % (588354)------------------------------
% 1.14/0.42 % (588354)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.14/0.42 % (588354)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.14/0.42 % (588354)CaDiCaL version: 2.1.3
% 1.14/0.42 % (588354)Termination reason: Instruction limit
% 1.14/0.42 % (588354)Termination phase: shuffling
% 1.14/0.42 % (588354)Time elapsed: 0.005 s
% 1.14/0.42 % (588354)Peak memory usage: 10 MB
% 1.14/0.42 % (588354)Instructions burned: 22 (million)
% 1.14/0.42 % (588325)Instruction limit reached!
% 1.14/0.42 % (588325)------------------------------
% 1.14/0.42 % (588325)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.14/0.42 % (588325)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.14/0.42 % (588325)CaDiCaL version: 2.1.3
% 1.14/0.42 % (588325)Termination reason: Instruction limit
% 1.14/0.42 % (588325)Termination phase: Saturation
% 1.14/0.42 % (588325)Time elapsed: 0.062 s
% 1.14/0.42 % (588325)Peak memory usage: 14 MB
% 1.14/0.42 % (588325)Instructions burned: 250 (million)
% 1.14/0.42 % (588361)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=664322495:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/193Mi)
% 1.14/0.42 % (588363)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.14/0.42 % (588362)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=498205928:i=42:hud=10:rtra=on_2998 on theBenchmark for (2998ds/42Mi)
% 1.14/0.42 % (588363)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1622328157:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2998 on theBenchmark for (2998ds/7Mi)
% 1.14/0.42 % (588363)Instruction limit reached!
% 1.14/0.42 % (588363)------------------------------
% 1.14/0.42 % (588363)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.14/0.42 % (588363)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.14/0.42 % (588363)CaDiCaL version: 2.1.3
% 1.14/0.42 % (588363)Termination reason: Instruction limit
% 1.14/0.42 % (588363)Termination phase: shuffling
% 1.14/0.42 % (588363)Time elapsed: 0.002 s
% 1.14/0.42 % (588363)Peak memory usage: 10 MB
% 1.14/0.42 % (588363)Instructions burned: 7 (million)
% 1.14/0.42 % (588362)Instruction limit reached!
% 1.14/0.42 % (588362)------------------------------
% 1.14/0.42 % (588362)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.14/0.42 % (588362)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.14/0.42 % (588362)CaDiCaL version: 2.1.3
% 1.14/0.42 % (588362)Termination reason: Instruction limit
% 1.14/0.42 % (588362)Termination phase: Preprocessing 2
% 1.14/0.42 % (588362)Time elapsed: 0.010 s
% 1.14/0.42 % (588362)Peak memory usage: 11 MB
% 1.14/0.42 % (588362)Instructions burned: 43 (million)
% 1.14/0.42 % (588367)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=74693474:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/181Mi)
% 1.14/0.42 % (588368)dis+10_8_sil=128000:plsq=on:plsqc=1:si=on:sp=unary_first:sos=on:lma=off:plsqr=64,1:uwa=interpreted_only:foolp=on:random_seed=468616153:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/169Mi)
% 1.14/0.44 % (588356)Instruction limit reached!
% 1.14/0.44 % (588356)------------------------------
% 1.14/0.44 % (588356)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.14/0.44 % (588356)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.14/0.44 % (588356)CaDiCaL version: 2.1.3
% 1.14/0.44 % (588356)Termination reason: Instruction limit
% 1.14/0.44 % (588356)Termination phase: Saturation
% 1.14/0.44 % (588356)Time elapsed: 0.037 s
% 1.14/0.44 % (588356)Peak memory usage: 14 MB
% 1.14/0.44 % (588356)Instructions burned: 145 (million)
% 1.14/0.44 % (588329)Instruction limit reached!
% 1.14/0.44 % (588329)------------------------------
% 1.14/0.44 % (588329)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.14/0.44 % (588329)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.14/0.44 % (588329)CaDiCaL version: 2.1.3
% 1.14/0.44 % (588329)Termination reason: Instruction limit
% 1.14/0.44 % (588329)Termination phase: Saturation
% 1.14/0.44 % (588329)Time elapsed: 0.088 s
% 1.14/0.44 % (588329)Peak memory usage: 14 MB
% 1.14/0.44 % (588329)Instructions burned: 330 (million)
% 1.14/0.44 % (588371)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 1.14/0.44 % (588371)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=3991992692:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2998 on theBenchmark for (2998ds/6Mi)
% 1.14/0.44 % (588372)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=4243986102:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2998 on theBenchmark for (2998ds/22Mi)
% 1.14/0.44 % (588371)Instruction limit reached!
% 1.14/0.44 % (588371)------------------------------
% 1.14/0.44 % (588371)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.14/0.44 % (588371)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.14/0.44 % (588371)CaDiCaL version: 2.1.3
% 1.14/0.44 % (588371)Termination reason: Instruction limit
% 1.14/0.44 % (588371)Termination phase: shuffling
% 1.14/0.44 % (588371)Time elapsed: 0.002 s
% 1.14/0.44 % (588371)Peak memory usage: 10 MB
% 1.14/0.44 % (588371)Instructions burned: 7 (million)
% 1.14/0.44 % (588372)Instruction limit reached!
% 1.14/0.44 % (588372)------------------------------
% 1.14/0.44 % (588372)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.14/0.44 % (588372)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.14/0.44 % (588372)CaDiCaL version: 2.1.3
% 1.14/0.44 % (588372)Termination reason: Instruction limit
% 1.14/0.44 % (588372)Termination phase: Property scanning
% 1.14/0.44 % (588372)Time elapsed: 0.006 s
% 1.14/0.44 % (588372)Peak memory usage: 10 MB
% 1.14/0.44 % (588372)Instructions burned: 26 (million)
% 1.14/0.44 % (588375)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=79014965:i=19:add=on:rtra=on_2997 on theBenchmark for (2997ds/19Mi)
% 1.14/0.44 % (588361)Instruction limit reached!
% 1.14/0.44 % (588361)------------------------------
% 1.14/0.44 % (588361)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.14/0.44 % (588361)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.14/0.44 % (588361)CaDiCaL version: 2.1.3
% 1.14/0.44 % (588361)Termination reason: Instruction limit
% 1.14/0.44 % (588361)Termination phase: Saturation
% 1.14/0.44 % (588361)Time elapsed: 0.051 s
% 1.14/0.44 % (588361)Peak memory usage: 14 MB
% 1.14/0.44 % (588361)Instructions burned: 193 (million)
% 1.14/0.44 % (588376)ott+10_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:lma=off:plsqr=128,1:urr=ec_only:uwa=off:rp=on:nwc=20:br=off:random_seed=4237931849:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/316Mi)
% 1.14/0.44 % (588375)Instruction limit reached!
% 1.14/0.44 % (588375)------------------------------
% 1.14/0.44 % (588375)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.14/0.44 % (588375)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.14/0.44 % (588375)CaDiCaL version: 2.1.3
% 1.14/0.44 % (588375)Termination reason: Instruction limit
% 1.14/0.44 % (588375)Termination phase: shuffling
% 1.14/0.44 % (588375)Time elapsed: 0.005 s
% 1.14/0.44 % (588375)Peak memory usage: 10 MB
% 1.14/0.44 % (588375)Instructions burned: 21 (million)
% 1.14/0.44 % (588298)Instruction limit reached!
% 1.14/0.44 % (588298)------------------------------
% 1.14/0.44 % (588298)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.14/0.44 % (588298)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.14/0.44 % (588298)CaDiCaL version: 2.1.3
% 1.14/0.44 % (588298)Termination reason: Instruction limit
% 1.14/0.44 % (588298)Termination phase: Saturation
% 1.14/0.44 % (588298)Time elapsed: 0.188 s
% 1.14/0.44 % (588298)Peak memory usage: 16 MB
% 1.14/0.44 % (588298)Instructions burned: 636 (million)
% 1.14/0.44 % (588378)dis+1004_4:1_slsqr=1,2:to=lpo:plsq=on:fde=unused:e2e=on:si=on:spb=goal_then_units:acc=on:urr=on:uwa=off:fd=preordered:s2agt=16:slsqc=1:slsq=on:random_seed=4140179771:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2997 on theBenchmark for (2997ds/853Mi)
% 1.14/0.44 % (588380)dis+1003_3:4_to=kbo:plsq=on:prc=on:sims=off:e2e=on:si=on:spb=intro:acc=on:urr=on:uwa=off:foolp=on:s2agt=32:slsqc=3:slsq=on:random_seed=215139811:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2997 on theBenchmark for (2997ds/45Mi)
% 1.14/0.44 % (588367)Instruction limit reached!
% 1.14/0.44 % (588367)------------------------------
% 1.14/0.44 % (588367)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.14/0.44 % (588367)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.14/0.44 % (588367)CaDiCaL version: 2.1.3
% 1.14/0.44 % (588367)Termination reason: Instruction limit
% 1.14/0.44 % (588367)Termination phase: Saturation
% 1.14/0.44 % (588367)Time elapsed: 0.050 s
% 1.14/0.44 % (588367)Peak memory usage: 14 MB
% 1.14/0.44 % (588367)Instructions burned: 184 (million)
% 1.14/0.44 % (588368)Instruction limit reached!
% 1.14/0.44 % (588368)------------------------------
% 1.14/0.44 % (588368)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.14/0.44 % (588368)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.14/0.44 % (588368)CaDiCaL version: 2.1.3
% 1.14/0.44 % (588368)Termination reason: Instruction limit
% 1.14/0.44 % (588368)Termination phase: Saturation
% 1.14/0.44 % (588368)Time elapsed: 0.046 s
% 1.14/0.44 % (588368)Peak memory usage: 14 MB
% 1.14/0.44 % (588368)Instructions burned: 172 (million)
% 1.14/0.44 % (588381)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=3582932448:i=480:rtra=on_2997 on theBenchmark for (2997ds/480Mi)
% 1.14/0.44 % (588384)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=587476502:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2997 on theBenchmark for (2997ds/21Mi)
% 1.14/0.44 % (588380)Instruction limit reached!
% 1.14/0.44 % (588380)------------------------------
% 1.14/0.44 % (588380)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.14/0.44 % (588380)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.14/0.44 % (588380)CaDiCaL version: 2.1.3
% 1.14/0.44 % (588380)Termination reason: Instruction limit
% 1.14/0.44 % (588380)Termination phase: Property scanning
% 1.14/0.44 % (588380)Time elapsed: 0.011 s
% 1.14/0.44 % (588380)Peak memory usage: 10 MB
% 1.14/0.44 % (588380)Instructions burned: 48 (million)
% 1.14/0.44 % (588385)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 1.14/0.44 % (588385)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=3047836656:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/200Mi)
% 1.14/0.44 % (588384)Instruction limit reached!
% 1.14/0.44 % (588384)------------------------------
% 1.14/0.44 % (588384)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.14/0.44 % (588384)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.14/0.44 % (588384)CaDiCaL version: 2.1.3
% 1.14/0.44 % (588384)Termination reason: Instruction limit
% 1.14/0.44 % (588384)Termination phase: shuffling
% 1.14/0.44 % (588384)Time elapsed: 0.005 s
% 1.14/0.44 % (588384)Peak memory usage: 10 MB
% 1.14/0.44 % (588384)Instructions burned: 21 (million)
% 1.14/0.44 % (588388)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3418545407:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/13Mi)
% 1.14/0.44 % (588388)Instruction limit reached!
% 1.14/0.44 % (588388)------------------------------
% 1.14/0.44 % (588388)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.14/0.44 % (588388)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.14/0.44 % (588388)CaDiCaL version: 2.1.3
% 1.14/0.44 % (588388)Termination reason: Instruction limit
% 1.14/0.44 % (588388)Termination phase: shuffling
% 1.14/0.44 % (588388)Time elapsed: 0.004 s
% 1.14/0.44 % (588388)Peak memory usage: 10 MB
% 1.14/0.44 % (588388)Instructions burned: 16 (million)
% 1.14/0.44 % (588390)lrs+1010_1_anc=none:slsqr=1,2:sil=128000:cnfonf=conj_eager:sas=cadical:si=on:hi=on:uwa=one_side_interpreted:rp=on:nwc=2:slsqc=3:slsq=on:random_seed=423684169:i=66:s2at=3:nm=2:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/66Mi)
% 1.14/0.44 % (588393)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=808461295:i=51:fsr=off:rtra=on_2997 on theBenchmark for (2997ds/51Mi)
% 1.14/0.44 % (588381)Refutation not found, incomplete strategy
% 1.14/0.44 % (588381)------------------------------
% 1.14/0.44 % (588381)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.14/0.44 % (588381)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.14/0.44 % (588381)CaDiCaL version: 2.1.3
% 1.14/0.44 % (588381)Termination reason: Refutation not found, incomplete strategy
% 1.14/0.44 % (588381)Time elapsed: 0.036 s
% 1.14/0.44 % (588381)Peak memory usage: 14 MB
% 1.14/0.44 % (588381)Instructions burned: 139 (million)
% 1.14/0.44 % (588390)Instruction limit reached!
% 1.14/0.44 % (588390)------------------------------
% 1.14/0.44 % (588390)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.14/0.44 % (588390)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.14/0.44 % (588390)CaDiCaL version: 2.1.3
% 1.14/0.44 % (588390)Termination reason: Instruction limit
% 1.14/0.44 % (588390)Termination phase: Property scanning
% 1.14/0.44 % (588390)Time elapsed: 0.015 s
% 1.14/0.44 % (588390)Peak memory usage: 11 MB
% 1.14/0.44 % (588390)Instructions burned: 67 (million)
% 1.14/0.44 % (588378) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-588290-588378"...
% 1.14/0.44 % (588381)------------------------------
% 1.14/0.44 % (588381)------------------------------
% 1.14/0.44 % (588378)...printing done.
% 1.14/0.44 % (588378)Refutation found. Thanks to Tanya!
% 1.14/0.44 % SZS status Theorem for theBenchmark
% 1.14/0.44 % SZS output start Proof for theBenchmark
% 1.14/0.44 thf(type_def_5, type, product_prod: ($tType * $tType) > $tType).
% 1.14/0.44 thf(type_def_6, type, list: $tType > $tType).
% 1.14/0.44 thf(type_def_7, type, capacity: $tType).
% 1.14/0.44 thf(type_def_8, type, set: $tType > $tType).
% 1.14/0.44 thf(type_def_9, type, nat: $tType).
% 1.14/0.44 thf(type_def_10, type, sTfun: ($tType * $tType) > $tType).
% 1.14/0.44 thf(func_def_0, type, type: !>[X0: $tType]:($o)).
% 1.14/0.44 thf(func_def_1, type, size: !>[X0: $tType]:($o)).
% 1.14/0.44 thf(func_def_2, type, one: !>[X0: $tType]:($o)).
% 1.14/0.44 thf(func_def_3, type, ord: !>[X0: $tType]:($o)).
% 1.14/0.44 thf(func_def_4, type, order: !>[X0: $tType]:($o)).
% 1.14/0.44 thf(func_def_5, type, group_add: !>[X0: $tType]:($o)).
% 1.14/0.44 thf(func_def_6, type, linorder: !>[X0: $tType]:($o)).
% 1.14/0.44 thf(func_def_7, type, preorder: !>[X0: $tType]:($o)).
% 1.14/0.44 thf(func_def_8, type, wellorder: !>[X0: $tType]:($o)).
% 1.14/0.44 thf(func_def_9, type, semigroup_add: !>[X0: $tType]:($o)).
% 1.14/0.44 thf(func_def_10, type, linordered_idom: !>[X0: $tType]:($o)).
% 1.14/0.44 thf(func_def_11, type, comm_monoid_add: !>[X0: $tType]:($o)).
% 1.14/0.44 thf(func_def_12, type, ab_semigroup_add: !>[X0: $tType]:($o)).
% 1.14/0.44 thf(func_def_13, type, linordered_semidom: !>[X0: $tType]:($o)).
% 1.14/0.44 thf(func_def_14, type, cancel_semigroup_add: !>[X0: $tType]:($o)).
% 1.14/0.44 thf(func_def_15, type, ordere779506340up_add: !>[X0: $tType]:($o)).
% 1.14/0.44 thf(func_def_16, type, linord1659791738miring: !>[X0: $tType]:($o)).
% 1.14/0.44 thf(func_def_17, type, canoni770627133id_add: !>[X0: $tType]:($o)).
% 1.14/0.44 thf(func_def_18, type, ordere236663937imp_le: !>[X0: $tType]:($o)).
% 1.14/0.44 thf(func_def_19, type, ordere223160158up_add: !>[X0: $tType]:($o)).
% 1.14/0.44 thf(func_def_20, type, strict2144017051up_add: !>[X0: $tType]:($o)).
% 1.14/0.44 thf(func_def_21, type, unique1598680935umeral: !>[X0: $tType]:($o)).
% 1.14/0.44 thf(func_def_22, type, connected: !>[X0: $tType]:(((product_prod @ nat @ nat > X0) > nat > nat > $o))).
% 1.14/0.44 thf(func_def_23, type, dist: !>[X0: $tType]:(((product_prod @ nat @ nat > X0) > nat > nat > nat > $o))).
% 1.14/0.44 thf(func_def_24, type, isPath: !>[X0: $tType]:(((product_prod @ nat @ nat > X0) > nat > list @ product_prod @ nat @ nat > nat > $o))).
% 1.14/0.44 thf(func_def_25, type, isShortestPath: !>[X0: $tType]:(((product_prod @ nat @ nat > X0) > nat > list @ product_prod @ nat @ nat > nat > $o))).
% 1.14/0.44 thf(func_def_26, type, isSimplePath: !>[X0: $tType]:(((product_prod @ nat @ nat > X0) > nat > list @ product_prod @ nat @ nat > nat > $o))).
% 1.14/0.44 thf(func_def_27, type, min_dist: !>[X0: $tType]:(((product_prod @ nat @ nat > X0) > nat > nat > nat))).
% 1.14/0.44 thf(func_def_28, type, one_one: !>[X0: $tType]:(X0)).
% 1.14/0.44 thf(func_def_29, type, plus_plus: !>[X0: $tType]:((X0 > X0 > X0))).
% 1.14/0.44 thf(func_def_30, type, nil: !>[X0: $tType]:(list @ X0)).
% 1.14/0.44 thf(func_def_31, type, set2: !>[X0: $tType]:((list @ X0 > set @ X0))).
% 1.14/0.44 thf(func_def_32, type, size_size: !>[X0: $tType]:((X0 > nat))).
% 1.14/0.44 thf(func_def_33, type, ord_less: !>[X0: $tType]:((X0 > X0 > $o))).
% 1.14/0.44 thf(func_def_34, type, ord_less_eq: !>[X0: $tType]:((X0 > X0 > $o))).
% 1.14/0.44 thf(func_def_35, type, product_Pair: !>[X0: $tType, X1: $tType]:((X0 > X1 > product_prod @ X0 @ X1))).
% 1.14/0.44 thf(func_def_36, type, product_rec_prod: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2))).
% 1.14/0.44 thf(func_def_37, type, product_swap: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > product_prod @ X1 @ X0))).
% 1.14/0.44 thf(func_def_38, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 1.14/0.44 thf(func_def_39, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 1.14/0.44 thf(func_def_40, type, c: (product_prod @ nat @ nat > capacity)).
% 1.14/0.44 thf(func_def_41, type, p: list @ product_prod @ nat @ nat).
% 1.14/0.44 thf(func_def_42, type, p1: list @ product_prod @ nat @ nat).
% 1.14/0.44 thf(func_def_43, type, p2: list @ product_prod @ nat @ nat).
% 1.14/0.44 thf(func_def_44, type, p3: list @ product_prod @ nat @ nat).
% 1.14/0.44 thf(func_def_45, type, s: nat).
% 1.14/0.44 thf(func_def_46, type, t: nat).
% 1.14/0.44 thf(func_def_47, type, u: nat).
% 1.14/0.44 thf(func_def_48, type, v: nat).
% 1.14/0.44 thf(func_def_52, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 1.14/0.44 thf(func_def_53, type, db2: !>[X0: $tType]:(X0)).
% 1.14/0.44 thf(func_def_54, type, db0: !>[X0: $tType]:(X0)).
% 1.14/0.44 thf(func_def_55, type, db1: !>[X0: $tType]:(X0)).
% 1.14/0.44 thf(func_def_56, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 1.14/0.44 thf(func_def_57, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 1.14/0.44 thf(func_def_58, type, vAND: ($o > $o > $o)).
% 1.14/0.44 thf(func_def_59, type, db4: !>[X0: $tType]:(X0)).
% 1.14/0.44 thf(func_def_60, type, db3: !>[X0: $tType]:(X0)).
% 1.14/0.44 thf(func_def_61, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 1.14/0.44 thf(func_def_62, type, vIMP: ($o > $o > $o)).
% 1.14/0.44 thf(func_def_63, type, vNOT: ($o > $o)).
% 1.14/0.44 thf(func_def_64, type, vOR: ($o > $o > $o)).
% 1.14/0.44 thf(func_def_65, type, sK0: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X0 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X2 @ X1 > X1))).
% 1.14/0.44 thf(func_def_66, type, sK1: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X0 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X2 @ X1 > X2))).
% 1.14/0.44 thf(func_def_67, type, sK2: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X0 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X2 @ X1 > X0))).
% 1.14/0.44 thf(func_def_68, type, sK3: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X0 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X2 @ X1 > X3))).
% 1.14/0.44 thf(func_def_69, type, sK4: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X0 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X2 @ X1 > X4))).
% 1.14/0.44 thf(func_def_70, type, sK5: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 1.14/0.44 thf(func_def_71, type, sK6: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 1.14/0.44 thf(func_def_72, type, sK7: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 1.14/0.44 thf(func_def_73, type, sK8: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 1.14/0.44 thf(func_def_74, type, sK9: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 1.14/0.44 thf(func_def_75, type, sK10: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 1.14/0.44 thf(func_def_76, type, sK11: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 1.14/0.44 thf(func_def_77, type, sK12: !>[X0: $tType]:((((nat > X0 > X0) > nat > nat > X0 > $o) > nat > X0 > X0))).
% 1.14/0.44 thf(func_def_78, type, sK13: !>[X0: $tType]:((((nat > X0 > X0) > nat > nat > X0 > $o) > nat))).
% 1.14/0.44 thf(func_def_79, type, sK14: !>[X0: $tType]:((((nat > X0 > X0) > nat > nat > X0 > $o) > X0))).
% 1.14/0.44 thf(func_def_80, type, sK15: !>[X0: $tType]:((((nat > X0 > X0) > nat > nat > X0 > $o) > nat))).
% 1.14/0.44 thf(func_def_81, type, sK16: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X2 @ product_prod @ X0 @ product_prod @ X3 @ X1 > $o) > X0))).
% 1.14/0.44 thf(func_def_82, type, sK17: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X2 @ product_prod @ X0 @ product_prod @ X3 @ X1 > $o) > X1))).
% 1.14/0.44 thf(func_def_83, type, sK18: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X2 @ product_prod @ X0 @ product_prod @ X3 @ X1 > $o) > X2))).
% 1.14/0.44 thf(func_def_84, type, sK19: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X2 @ product_prod @ X0 @ product_prod @ X3 @ X1 > $o) > X3))).
% 1.14/0.44 thf(func_def_85, type, sK20: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > X1) > X0))).
% 1.14/0.44 thf(func_def_86, type, sK21: ((nat > $o) > nat)).
% 1.14/0.44 thf(func_def_87, type, sK22: ((nat > $o) > nat > nat)).
% 1.14/0.44 thf(func_def_88, type, sK23: !>[X0: $tType]:((nat > nat > (product_prod @ nat @ nat > X0) > list @ product_prod @ nat @ nat))).
% 1.14/0.44 thf(func_def_89, type, sK24: !>[X0: $tType]:(((product_prod @ nat @ nat > X0) > nat > (nat > $o) > nat > nat))).
% 1.14/0.44 thf(func_def_90, type, sK25: (nat > nat > nat)).
% 1.14/0.44 thf(func_def_91, type, sK26: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X4 @ product_prod @ X5 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X6 @ product_prod @ X0 @ X1 > $o) > X3))).
% 1.14/0.44 thf(func_def_92, type, sK27: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X4 @ product_prod @ X5 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X6 @ product_prod @ X0 @ X1 > $o) > X0))).
% 1.14/0.44 thf(func_def_93, type, sK28: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X4 @ product_prod @ X5 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X6 @ product_prod @ X0 @ X1 > $o) > X6))).
% 1.14/0.44 thf(func_def_94, type, sK29: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X4 @ product_prod @ X5 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X6 @ product_prod @ X0 @ X1 > $o) > X1))).
% 1.14/0.44 thf(func_def_95, type, sK30: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X4 @ product_prod @ X5 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X6 @ product_prod @ X0 @ X1 > $o) > X4))).
% 1.14/0.44 thf(func_def_96, type, sK31: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X4 @ product_prod @ X5 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X6 @ product_prod @ X0 @ X1 > $o) > X5))).
% 1.14/0.44 thf(func_def_97, type, sK32: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X4 @ product_prod @ X5 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X6 @ product_prod @ X0 @ X1 > $o) > X2))).
% 1.14/0.44 thf(func_def_98, type, sK33: (nat > nat > nat > list @ product_prod @ nat @ nat)).
% 1.14/0.44 thf(func_def_99, type, sK34: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X0 @ product_prod @ X2 @ X1 > X0))).
% 1.14/0.44 thf(func_def_100, type, sK35: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X0 @ product_prod @ X2 @ X1 > X2))).
% 1.14/0.44 thf(func_def_101, type, sK36: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X0 @ product_prod @ X2 @ X1 > X1))).
% 1.14/0.44 thf(func_def_102, type, sK37: ((nat > nat) > nat)).
% 1.14/0.44 thf(func_def_103, type, sK38: ((nat > nat) > nat)).
% 1.14/0.44 thf(func_def_104, type, sK39: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 1.14/0.44 thf(func_def_105, type, sK40: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 1.14/0.44 thf(func_def_106, type, sK41: ((nat > $o) > nat)).
% 1.14/0.44 thf(func_def_107, type, sK42: (list @ product_prod @ nat @ nat > nat > nat > list @ product_prod @ nat @ nat)).
% 1.14/0.44 thf(func_def_108, type, sK43: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X0))).
% 1.14/0.44 thf(func_def_109, type, sK44: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X1))).
% 1.14/0.44 thf(func_def_110, type, sK45: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X1 @ product_prod @ X0 @ X2 > $o) > X2))).
% 1.14/0.44 thf(func_def_111, type, sK46: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X1 @ product_prod @ X0 @ X2 > $o) > X1))).
% 1.14/0.44 thf(func_def_112, type, sK47: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X1 @ product_prod @ X0 @ X2 > $o) > X0))).
% 1.14/0.44 thf(func_def_113, type, sK48: (nat > nat > list @ product_prod @ nat @ nat)).
% 1.14/0.44 thf(func_def_114, type, sK49: (nat > nat > nat > nat)).
% 1.14/0.44 thf(func_def_115, type, sK50: (list @ product_prod @ nat @ nat > nat > nat)).
% 1.14/0.44 thf(func_def_116, type, sK51: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X1))).
% 1.14/0.44 thf(func_def_117, type, sK52: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X0))).
% 1.14/0.44 thf(func_def_118, type, sK53: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X5 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X0 @ product_prod @ X1 @ X2 > X4))).
% 1.14/0.44 thf(func_def_119, type, sK54: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X5 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X0 @ product_prod @ X1 @ X2 > X3))).
% 1.14/0.44 thf(func_def_120, type, sK55: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X5 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X0 @ product_prod @ X1 @ X2 > X5))).
% 1.14/0.44 thf(func_def_121, type, sK56: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X5 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X0 @ product_prod @ X1 @ X2 > X2))).
% 1.14/0.44 thf(func_def_122, type, sK57: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X5 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X0 @ product_prod @ X1 @ X2 > X0))).
% 1.14/0.44 thf(func_def_123, type, sK58: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X5 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X0 @ product_prod @ X1 @ X2 > X1))).
% 1.14/0.44 thf(func_def_124, type, sK59: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > $o) > X1))).
% 1.14/0.44 thf(func_def_125, type, sK60: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 1.14/0.44 thf(func_def_126, type, sK61: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 1.14/0.44 thf(func_def_127, type, sK62: !>[X0: $tType]:(((X0 > nat) > (X0 > $o) > X0))).
% 1.14/0.44 thf(func_def_128, type, sK63: !>[X0: $tType]:(((product_prod @ nat @ nat > X0) > nat > nat > nat))).
% 1.14/0.44 thf(func_def_129, type, sK64: (nat > nat > nat)).
% 1.14/0.44 thf(func_def_130, type, sK65: (nat > list @ product_prod @ nat @ nat > nat)).
% 1.14/0.44 thf(func_def_131, type, sK66: (nat > (nat > $o) > nat > nat)).
% 1.14/0.44 thf(func_def_132, type, sK67: (nat > nat > list @ product_prod @ nat @ nat)).
% 1.14/0.44 thf(func_def_133, type, sK68: !>[X0: $tType]:((nat > (product_prod @ nat @ nat > X0) > nat > nat > nat))).
% 1.14/0.44 thf(func_def_134, type, sK69: !>[X0: $tType]:(((X0 > $o) > (X0 > nat) > X0))).
% 1.14/0.44 thf(func_def_135, type, sK70: !>[X0: $tType]:(((X0 > $o) > (X0 > nat) > nat > X0))).
% 1.14/0.44 thf(func_def_136, type, sK71: ((nat > $o) > nat)).
% 1.14/0.44 thf(func_def_137, type, sK72: (nat > nat > nat)).
% 1.14/0.44 thf(func_def_138, type, sK73: !>[X0: $tType, X1: $tType]:(((X1 > $o) > (X1 > X0) > X1))).
% 1.14/0.44 thf(func_def_139, type, sK74: !>[X0: $tType, X1: $tType]:(((product_prod @ X0 @ X1 > $o) > X1))).
% 1.14/0.44 thf(func_def_140, type, sK75: !>[X0: $tType, X1: $tType]:(((product_prod @ X0 @ X1 > $o) > X0))).
% 1.14/0.44 thf(func_def_141, type, sK76: (list @ product_prod @ nat @ nat > nat > nat)).
% 1.14/0.44 thf(func_def_142, type, sK77: ((nat > $o) > nat)).
% 1.14/0.44 thf(func_def_143, type, sK78: ((nat > $o) > nat > nat)).
% 1.14/0.44 thf(func_def_144, type, sK79: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 1.14/0.44 thf(func_def_145, type, sK80: !>[X0: $tType]:((product_prod @ (nat > X0 > X0) @ product_prod @ nat @ product_prod @ nat @ X0 > nat))).
% 1.14/0.44 thf(func_def_146, type, sK81: !>[X0: $tType]:((product_prod @ (nat > X0 > X0) @ product_prod @ nat @ product_prod @ nat @ X0 > nat > X0 > X0))).
% 1.14/0.44 thf(func_def_147, type, sK82: !>[X0: $tType]:((product_prod @ (nat > X0 > X0) @ product_prod @ nat @ product_prod @ nat @ X0 > nat))).
% 1.14/0.44 thf(func_def_148, type, sK83: !>[X0: $tType]:((product_prod @ (nat > X0 > X0) @ product_prod @ nat @ product_prod @ nat @ X0 > X0))).
% 1.14/0.44 thf(func_def_149, type, sK84: (nat > nat > list @ product_prod @ nat @ nat)).
% 1.14/0.44 thf(func_def_150, type, sK85: (nat > list @ product_prod @ nat @ nat > nat)).
% 1.14/0.44 thf(func_def_151, type, sK86: (nat > nat > nat)).
% 1.14/0.44 thf(func_def_152, type, sK87: ((nat > nat) > nat)).
% 1.14/0.44 thf(func_def_153, type, sK88: ((nat > nat) > nat)).
% 1.14/0.44 thf(func_def_154, type, sK89: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 1.14/0.44 thf(func_def_155, type, sK90: !>[X0: $tType]:(((product_prod @ nat @ nat > X0) > nat > nat > nat))).
% 1.14/0.44 thf(func_def_156, type, sK91: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 1.14/0.44 thf(func_def_157, type, sK92: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 1.14/0.44 thf(func_def_158, type, sK93: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X3 @ product_prod @ X4 @ X2 > $o) > X2))).
% 1.14/0.44 thf(func_def_159, type, sK94: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X3 @ product_prod @ X4 @ X2 > $o) > X3))).
% 1.14/0.44 thf(func_def_160, type, sK95: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X3 @ product_prod @ X4 @ X2 > $o) > X4))).
% 1.14/0.44 thf(func_def_161, type, sK96: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X3 @ product_prod @ X4 @ X2 > $o) > X1))).
% 1.14/0.44 thf(func_def_162, type, sK97: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X3 @ product_prod @ X4 @ X2 > $o) > X0))).
% 1.14/0.44 thf(func_def_163, type, sK98: !>[X0: $tType]:(((X0 > $o) > (X0 > nat) > X0))).
% 1.14/0.44 thf(func_def_164, type, sK99: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 1.14/0.44 thf(func_def_165, type, sK100: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 1.14/0.44 thf(func_def_166, type, sK101: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 1.14/0.44 thf(func_def_167, type, sK102: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 1.14/0.44 thf(func_def_168, type, sK103: !>[X0: $tType]:((nat > nat > (product_prod @ nat @ nat > X0) > list @ product_prod @ nat @ nat))).
% 1.14/0.44 thf(func_def_169, type, sK104: !>[X0: $tType]:(((X0 > nat) > (X0 > $o) > X0))).
% 1.14/0.44 thf(func_def_170, type, sK105: !>[X0: $tType]:((nat > (X0 > nat) > X0 > (X0 > $o) > X0))).
% 1.14/0.44 thf(func_def_171, type, sK106: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X2 @ product_prod @ X1 @ product_prod @ X6 @ product_prod @ X4 @ product_prod @ X5 @ product_prod @ X3 @ X0 > X6))).
% 1.14/0.44 thf(func_def_172, type, sK107: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X2 @ product_prod @ X1 @ product_prod @ X6 @ product_prod @ X4 @ product_prod @ X5 @ product_prod @ X3 @ X0 > X5))).
% 1.14/0.44 thf(func_def_173, type, sK108: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X2 @ product_prod @ X1 @ product_prod @ X6 @ product_prod @ X4 @ product_prod @ X5 @ product_prod @ X3 @ X0 > X2))).
% 1.14/0.44 thf(func_def_174, type, sK109: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X2 @ product_prod @ X1 @ product_prod @ X6 @ product_prod @ X4 @ product_prod @ X5 @ product_prod @ X3 @ X0 > X3))).
% 1.14/0.44 thf(func_def_175, type, sK110: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X2 @ product_prod @ X1 @ product_prod @ X6 @ product_prod @ X4 @ product_prod @ X5 @ product_prod @ X3 @ X0 > X4))).
% 1.14/0.44 thf(func_def_176, type, sK111: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X2 @ product_prod @ X1 @ product_prod @ X6 @ product_prod @ X4 @ product_prod @ X5 @ product_prod @ X3 @ X0 > X0))).
% 1.14/0.44 thf(func_def_177, type, sK112: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X2 @ product_prod @ X1 @ product_prod @ X6 @ product_prod @ X4 @ product_prod @ X5 @ product_prod @ X3 @ X0 > X1))).
% 1.14/0.44 thf(func_def_178, type, sK113: !>[X0: $tType]:((X0 > X0 > X0))).
% 1.14/0.44 thf(func_def_179, type, sK114: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X3 @ product_prod @ X1 @ product_prod @ X2 @ X0 > X3))).
% 1.14/0.44 thf(func_def_180, type, sK115: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X3 @ product_prod @ X1 @ product_prod @ X2 @ X0 > X1))).
% 1.14/0.44 thf(func_def_181, type, sK116: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X3 @ product_prod @ X1 @ product_prod @ X2 @ X0 > X0))).
% 1.14/0.44 thf(func_def_182, type, sK117: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X3 @ product_prod @ X1 @ product_prod @ X2 @ X0 > X2))).
% 1.14/0.44 thf(func_def_183, type, sK118: !>[X0: $tType, X1: $tType]:(((product_prod @ X1 @ X0 > $o) > X1))).
% 1.14/0.44 thf(func_def_184, type, sK119: !>[X0: $tType, X1: $tType]:(((product_prod @ X1 @ X0 > $o) > X0))).
% 1.14/0.44 thf(func_def_185, type, sK120: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X5 @ product_prod @ X0 @ product_prod @ X2 @ product_prod @ X4 @ product_prod @ X1 @ X3 > $o) > X0))).
% 1.14/0.44 thf(func_def_186, type, sK121: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X5 @ product_prod @ X0 @ product_prod @ X2 @ product_prod @ X4 @ product_prod @ X1 @ X3 > $o) > X2))).
% 1.14/0.44 thf(func_def_187, type, sK122: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X5 @ product_prod @ X0 @ product_prod @ X2 @ product_prod @ X4 @ product_prod @ X1 @ X3 > $o) > X5))).
% 1.14/0.44 thf(func_def_188, type, sK123: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X5 @ product_prod @ X0 @ product_prod @ X2 @ product_prod @ X4 @ product_prod @ X1 @ X3 > $o) > X4))).
% 1.14/0.44 thf(func_def_189, type, sK124: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X5 @ product_prod @ X0 @ product_prod @ X2 @ product_prod @ X4 @ product_prod @ X1 @ X3 > $o) > X3))).
% 1.14/0.44 thf(func_def_190, type, sK125: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X5 @ product_prod @ X0 @ product_prod @ X2 @ product_prod @ X4 @ product_prod @ X1 @ X3 > $o) > X1))).
% 1.14/0.44 thf(f4,axiom,(
% 1.14/0.44 (((min_dist @ capacity @ c @ v @ t)) = ((size_size @ list @ product_prod @ nat @ nat @ p2)))),
% 1.14/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3__092_060open_062min__dist_Av_At_A_061_Alength_Ap2_092_060close_062)).
% 1.14/0.44 thf(f20,axiom,(
% 1.14/0.44 (isShortestPath @ capacity @ c @ s @ p @ t)),
% 1.14/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_19_assms_I1_J)).
% 1.14/0.44 thf(f50,axiom,(
% 1.14/0.44 (member @ product_prod @ nat @ nat @ (product_Pair @ nat @ nat @ u @ v) @ (set2 @ product_prod @ nat @ nat @ p))),
% 1.14/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_49_assms_I2_J)).
% 1.14/0.44 thf(f62,axiom,(
% 1.14/0.44 ! [X2 : nat,X3 : nat,X4 : nat,X1 : list @ product_prod @ nat @ nat,X0 : nat] : ((isShortestPath @ capacity @ c @ X0 @ X1 @ X2) => ((member @ product_prod @ nat @ nat @ (product_Pair @ nat @ nat @ X3 @ X4) @ (set2 @ product_prod @ nat @ nat @ X1)) => (((min_dist @ capacity @ c @ X3 @ X2)) = ((plus_plus @ nat @ one_one @ nat @ (min_dist @ capacity @ c @ X4 @ X2))))))),
% 1.14/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_61_isShortestPath__level__edge_I5_J)).
% 1.14/0.44 thf(f305,conjecture,(
% 1.14/0.44 (((min_dist @ capacity @ c @ u @ t)) = ((plus_plus @ nat @ one_one @ nat @ (size_size @ list @ product_prod @ nat @ nat @ p2))))),
% 1.14/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)).
% 1.14/0.44 thf(f306,negated_conjecture,(
% 1.14/0.44 ~ (((min_dist @ capacity @ c @ u @ t)) = ((plus_plus @ nat @ one_one @ nat @ (size_size @ list @ product_prod @ nat @ nat @ p2))))),
% 1.14/0.44 inference(negated_conjecture,[status(cth)],[f305])).
% 1.14/0.44 thf(f363,plain,(
% 1.14/0.44 (isShortestPath @ capacity @ c @ s @ p @ t)),
% 1.14/0.44 inference(rectify,[],[f20])).
% 1.14/0.44 thf(f364,plain,(
% 1.14/0.44 (((isShortestPath @ capacity @ c @ s @ p @ t)) = $true)),
% 1.14/0.44 inference(fool_elimination,[],[f363])).
% 1.14/0.44 thf(f425,plain,(
% 1.14/0.44 (member @ product_prod @ nat @ nat @ (product_Pair @ nat @ nat @ u @ v) @ (set2 @ product_prod @ nat @ nat @ p))),
% 1.14/0.44 inference(rectify,[],[f50])).
% 1.14/0.44 thf(f426,plain,(
% 1.14/0.44 (((member @ product_prod @ nat @ nat @ (product_Pair @ nat @ nat @ u @ v) @ (set2 @ product_prod @ nat @ nat @ p))) = $true)),
% 1.14/0.44 inference(fool_elimination,[],[f425])).
% 1.14/0.44 thf(f608,plain,(
% 1.14/0.44 ! [X0 : nat,X1 : nat,X2 : nat,X3 : list @ product_prod @ nat @ nat,X4 : nat] : ((isShortestPath @ capacity @ c @ X4 @ X3 @ X0) => ((member @ product_prod @ nat @ nat @ (product_Pair @ nat @ nat @ X1 @ X2) @ (set2 @ product_prod @ nat @ nat @ X3)) => (((min_dist @ capacity @ c @ X1 @ X0)) = ((plus_plus @ nat @ one_one @ nat @ (min_dist @ capacity @ c @ X2 @ X0))))))),
% 1.14/0.44 inference(rectify,[],[f62])).
% 1.14/0.44 thf(f609,plain,(
% 1.14/0.44 ! [X3 : list @ product_prod @ nat @ nat,X4 : nat,X2 : nat,X0 : nat,X1 : nat] : (($true = ((isShortestPath @ capacity @ c @ X4 @ X3 @ X0))) => ((((member @ product_prod @ nat @ nat @ (product_Pair @ nat @ nat @ X1 @ X2) @ (set2 @ product_prod @ nat @ nat @ X3))) = $true) => (((min_dist @ capacity @ c @ X1 @ X0)) = ((plus_plus @ nat @ one_one @ nat @ (min_dist @ capacity @ c @ X2 @ X0))))))),
% 1.14/0.44 inference(fool_elimination,[],[f608])).
% 1.14/0.44 thf(f873,plain,(
% 1.14/0.44 (((plus_plus @ nat @ one_one @ nat @ (size_size @ list @ product_prod @ nat @ nat @ p2))) != ((min_dist @ capacity @ c @ u @ t)))),
% 1.14/0.44 inference(flattening,[],[f306])).
% 1.14/0.44 thf(f1210,plain,(
% 1.14/0.44 ! [X3 : list @ product_prod @ nat @ nat,X4 : nat,X2 : nat,X0 : nat,X1 : nat] : (((((min_dist @ capacity @ c @ X1 @ X0)) = ((plus_plus @ nat @ one_one @ nat @ (min_dist @ capacity @ c @ X2 @ X0)))) | (((member @ product_prod @ nat @ nat @ (product_Pair @ nat @ nat @ X1 @ X2) @ (set2 @ product_prod @ nat @ nat @ X3))) != $true)) | ($true != ((isShortestPath @ capacity @ c @ X4 @ X3 @ X0))))),
% 1.14/0.44 inference(ennf_transformation,[],[f609])).
% 1.14/0.44 thf(f1211,plain,(
% 1.14/0.44 ! [X0 : nat,X4 : nat,X1 : nat,X2 : nat,X3 : list @ product_prod @ nat @ nat] : (($true != ((isShortestPath @ capacity @ c @ X4 @ X3 @ X0))) | (((min_dist @ capacity @ c @ X1 @ X0)) = ((plus_plus @ nat @ one_one @ nat @ (min_dist @ capacity @ c @ X2 @ X0)))) | (((member @ product_prod @ nat @ nat @ (product_Pair @ nat @ nat @ X1 @ X2) @ (set2 @ product_prod @ nat @ nat @ X3))) != $true))),
% 1.14/0.44 inference(flattening,[],[f1210])).
% 1.14/0.44 thf(f1225,plain,(
% 1.14/0.44 ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list @ product_prod @ nat @ nat] : (($true != ((isShortestPath @ capacity @ c @ X1 @ X4 @ X0))) | (((min_dist @ capacity @ c @ X2 @ X0)) = ((plus_plus @ nat @ one_one @ nat @ (min_dist @ capacity @ c @ X3 @ X0)))) | (((member @ product_prod @ nat @ nat @ (product_Pair @ nat @ nat @ X2 @ X3) @ (set2 @ product_prod @ nat @ nat @ X4))) != $true))),
% 1.14/0.44 inference(rectify,[],[f1211])).
% 1.14/0.44 thf(f1490,plain,(
% 1.14/0.44 ( ! [X2 : nat,X3 : nat,X0 : nat,X1 : nat,X4 : list @ product_prod @ nat @ nat] : ((((member @ product_prod @ nat @ nat @ (product_Pair @ nat @ nat @ X2 @ X3) @ (set2 @ product_prod @ nat @ nat @ X4))) != $true) | (((min_dist @ capacity @ c @ X2 @ X0)) = ((plus_plus @ nat @ one_one @ nat @ (min_dist @ capacity @ c @ X3 @ X0)))) | ($true != ((isShortestPath @ capacity @ c @ X1 @ X4 @ X0)))) )),
% 1.14/0.44 inference(cnf_transformation,[],[f1225])).
% 1.14/0.44 thf(f1506,plain,(
% 1.14/0.44 (((member @ product_prod @ nat @ nat @ (product_Pair @ nat @ nat @ u @ v) @ (set2 @ product_prod @ nat @ nat @ p))) = $true)),
% 1.14/0.44 inference(cnf_transformation,[],[f426])).
% 1.14/0.44 thf(f1557,plain,(
% 1.14/0.44 (((size_size @ list @ product_prod @ nat @ nat @ p2)) = ((min_dist @ capacity @ c @ v @ t)))),
% 1.14/0.44 inference(cnf_transformation,[],[f4])).
% 1.14/0.44 thf(f1624,plain,(
% 1.14/0.44 (((isShortestPath @ capacity @ c @ s @ p @ t)) = $true)),
% 1.14/0.44 inference(cnf_transformation,[],[f364])).
% 1.14/0.44 thf(f1703,plain,(
% 1.14/0.44 (((plus_plus @ nat @ one_one @ nat @ (size_size @ list @ product_prod @ nat @ nat @ p2))) != ((min_dist @ capacity @ c @ u @ t)))),
% 1.14/0.44 inference(cnf_transformation,[],[f873])).
% 1.14/0.44 thf(f2103,definition,(
% 1.14/0.44 spl126_11 <=> (((isShortestPath @ capacity @ c @ s @ p @ t)) = $true)),
% 1.14/0.44 introduced(definition,[new_symbols(definition,[spl126_11])],[avatar_definition])).
% 1.14/0.44 thf(f2105,plain,(
% 1.14/0.44 (((isShortestPath @ capacity @ c @ s @ p @ t)) = $true) | ~spl126_11),
% 1.14/0.44 inference(avatar_component_clause,[],[f2103])).
% 1.14/0.44 thf(f2106,plain,(
% 1.14/0.44 spl126_11),
% 1.14/0.44 inference(avatar_split_clause,[],[f1624,f2103])).
% 1.14/0.44 thf(f2163,definition,(
% 1.14/0.44 spl126_23 <=> (((plus_plus @ nat @ one_one @ nat @ (size_size @ list @ product_prod @ nat @ nat @ p2))) = ((min_dist @ capacity @ c @ u @ t)))),
% 1.14/0.44 introduced(definition,[new_symbols(definition,[spl126_23])],[avatar_definition])).
% 1.14/0.44 thf(f2165,plain,(
% 1.14/0.44 (((plus_plus @ nat @ one_one @ nat @ (size_size @ list @ product_prod @ nat @ nat @ p2))) != ((min_dist @ capacity @ c @ u @ t))) | spl126_23),
% 1.14/0.44 inference(avatar_component_clause,[],[f2163])).
% 1.14/0.44 thf(f2166,plain,(
% 1.14/0.44 ~spl126_23),
% 1.14/0.44 inference(avatar_split_clause,[],[f1703,f2163])).
% 1.14/0.44 thf(f2173,definition,(
% 1.14/0.44 spl126_25 <=> (((size_size @ list @ product_prod @ nat @ nat @ p2)) = ((min_dist @ capacity @ c @ v @ t)))),
% 1.14/0.44 introduced(definition,[new_symbols(definition,[spl126_25])],[avatar_definition])).
% 1.14/0.44 thf(f2175,plain,(
% 1.14/0.44 (((size_size @ list @ product_prod @ nat @ nat @ p2)) = ((min_dist @ capacity @ c @ v @ t))) | ~spl126_25),
% 1.14/0.44 inference(avatar_component_clause,[],[f2173])).
% 1.14/0.44 thf(f2176,plain,(
% 1.14/0.44 spl126_25),
% 1.14/0.44 inference(avatar_split_clause,[],[f1557,f2173])).
% 1.14/0.44 thf(f2229,definition,(
% 1.14/0.44 spl126_36 <=> (((member @ product_prod @ nat @ nat @ (product_Pair @ nat @ nat @ u @ v) @ (set2 @ product_prod @ nat @ nat @ p))) = $true)),
% 1.14/0.44 introduced(definition,[new_symbols(definition,[spl126_36])],[avatar_definition])).
% 1.14/0.44 thf(f2231,plain,(
% 1.14/0.44 (((member @ product_prod @ nat @ nat @ (product_Pair @ nat @ nat @ u @ v) @ (set2 @ product_prod @ nat @ nat @ p))) = $true) | ~spl126_36),
% 1.14/0.44 inference(avatar_component_clause,[],[f2229])).
% 1.14/0.44 thf(f2232,plain,(
% 1.14/0.44 spl126_36),
% 1.14/0.44 inference(avatar_split_clause,[],[f1506,f2229])).
% 1.14/0.44 thf(f2278,plain,(
% 1.14/0.44 (((min_dist @ capacity @ c @ u @ t)) != ((plus_plus @ nat @ one_one @ nat @ (min_dist @ capacity @ c @ v @ t)))) | (spl126_23 | ~spl126_25)),
% 1.14/0.44 inference(backward_demodulation,[],[f2165,f2175])).
% 1.14/0.44 thf(f2280,definition,(
% 1.14/0.44 spl126_46 <=> (((min_dist @ capacity @ c @ u @ t)) = ((plus_plus @ nat @ one_one @ nat @ (min_dist @ capacity @ c @ v @ t))))),
% 1.14/0.44 introduced(definition,[new_symbols(definition,[spl126_46])],[avatar_definition])).
% 1.14/0.44 thf(f2282,plain,(
% 1.14/0.44 (((min_dist @ capacity @ c @ u @ t)) != ((plus_plus @ nat @ one_one @ nat @ (min_dist @ capacity @ c @ v @ t)))) | spl126_46),
% 1.14/0.44 inference(avatar_component_clause,[],[f2280])).
% 1.14/0.44 thf(f2283,plain,(
% 1.14/0.44 ~spl126_46 | spl126_23 | ~spl126_25),
% 1.14/0.44 inference(avatar_split_clause,[],[f2278,f2173,f2163,f2280])).
% 1.14/0.44 thf(f2548,plain,(
% 1.14/0.44 (((min_dist @ capacity @ c @ u @ t)) = ((plus_plus @ nat @ one_one @ nat @ (min_dist @ capacity @ c @ v @ t)))) | (~spl126_11 | ~spl126_36)),
% 1.14/0.44 inference(unit_resulting_resolution,[],[f1490,f2105,f2231])).
% 1.14/0.44 thf(f2559,plain,(
% 1.14/0.44 $false | (~spl126_11 | ~spl126_36 | spl126_46)),
% 1.14/0.44 inference(forward_subsumption_resolution,[],[f2548,f2282])).
% 1.14/0.44 thf(f2560,plain,(
% 1.14/0.44 ~spl126_11 | ~spl126_36 | spl126_46),
% 1.14/0.44 inference(avatar_contradiction_clause,[],[f2559])).
% 1.14/0.44 cnf(s10, plain, spl126_11, inference(sat_conversion,[],[f2106])).
% 1.14/0.44 cnf(s22, plain, ~spl126_23, inference(sat_conversion,[],[f2166])).
% 1.14/0.44 cnf(s24, plain, spl126_25, inference(sat_conversion,[],[f2176])).
% 1.14/0.44 cnf(s36, plain, spl126_36, inference(sat_conversion,[],[f2232])).
% 1.14/0.44 cnf(s46, plain, spl126_23 | ~spl126_25 | ~spl126_46, inference(sat_conversion,[],[f2283])).
% 1.14/0.44 cnf(s82, plain, ~spl126_11 | ~spl126_36 | spl126_46, inference(sat_conversion,[],[f2560])).
% 1.14/0.44 cnf(s86, plain, ~spl126_46, inference(rat,[],[s46,s24,s22])).
% 1.14/0.44 cnf(s88, plain, ~spl126_11, inference(rat,[],[s82,s36,s86])).
% 1.14/0.44 cnf(s100, plain, $false, inference(rat,[],[s10,s88])).
% 1.14/0.44 thf(f2561,plain,(
% 1.14/0.44 $false),
% 1.14/0.44 inference(avatar_sat_refutation,[],[s100])).
% 1.14/0.44 % SZS output end Proof for theBenchmark
% 1.14/0.44 % (588378)------------------------------
% 1.14/0.44 % (588378)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.14/0.44 % (588378)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.14/0.44 % (588378)CaDiCaL version: 2.1.3
% 1.14/0.44 % (588378)Termination reason: Refutation
% 1.14/0.44 % (588378)Time elapsed: 0.046 s
% 1.14/0.44 % (588378)Peak memory usage: 15 MB
% 1.14/0.44 % (588378)Instructions burned: 173 (million)
% 1.14/0.44 % (588290)Success in time 0.275 s
% 1.14/0.44 % Vampire exiting
%------------------------------------------------------------------------------