%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP048^1 : 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 : n011.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 08:08:06 AM UTC 2026
% Result : Theorem 4.81s 1.09s
% Output : Refutation 4.81s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : ITP048^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.25 % Computer : n011.cluster.edu
% 0.09/0.25 % Model : x86_64 x86_64
% 0.09/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.25 % Memory : 8046.5625MB
% 0.09/0.25 % OS : Linux 6.8.0-71-generic
% 0.09/0.25 % CPULimit : 300
% 0.09/0.25 % WCLimit : 300
% 0.09/0.25 % DateTime : Tue Sep 29 19:42:01 UTC 2026
% 0.09/0.25 % CPUTime :
% 0.09/0.26 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.25/0.30 Running higher-order theorem proving
% 0.25/0.35 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
% 1.00/0.56 % (548421)Detected a higher-order problem, will run a greedy HOL sequence.
% 1.00/0.56 % (548429)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=2129988308: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)
% 1.00/0.56 % (548426)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1377564802:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 1.00/0.56 % (548432)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 1.00/0.56 % (548432)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
% 1.00/0.56 % (548428)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3708060242:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 1.00/0.56 % (548430)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1484837048:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 1.00/0.56 % (548431)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=979957936:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 1.00/0.56 % (548432)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=4002675797:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 1.00/0.56 % (548427)lrs+10_16_si=on:nwc=1.5:random_seed=542446244:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 1.00/0.56 % (548428)Instruction limit reached!
% 1.00/0.56 % (548428)------------------------------
% 1.00/0.56 % (548428)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.00/0.56 % (548428)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.00/0.56 % (548428)CaDiCaL version: 2.1.3
% 1.00/0.56 % (548428)Termination reason: Instruction limit
% 1.00/0.56 % (548428)Termination phase: shuffling
% 1.00/0.56 % (548428)Time elapsed: 0.004 s
% 1.00/0.56 % (548428)Peak memory usage: 10 MB
% 1.00/0.56 % (548428)Instructions burned: 3 (million)
% 1.00/0.56 % (548427)Instruction limit reached!
% 1.00/0.56 % (548427)------------------------------
% 1.00/0.56 % (548427)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.00/0.56 % (548427)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.00/0.56 % (548427)CaDiCaL version: 2.1.3
% 1.00/0.56 % (548427)Termination reason: Instruction limit
% 1.00/0.56 % (548427)Termination phase: shuffling
% 1.00/0.56 % (548427)Time elapsed: 0.015 s
% 1.00/0.56 % (548427)Peak memory usage: 10 MB
% 1.00/0.56 % (548427)Instructions burned: 18 (million)
% 1.00/0.56 % (548430)Instruction limit reached!
% 1.00/0.56 % (548430)------------------------------
% 1.00/0.56 % (548430)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.00/0.56 % (548430)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.00/0.56 % (548430)CaDiCaL version: 2.1.3
% 1.00/0.56 % (548430)Termination reason: Instruction limit
% 1.00/0.56 % (548430)Termination phase: Property scanning
% 1.00/0.56 % (548430)Time elapsed: 0.020 s
% 1.00/0.56 % (548430)Peak memory usage: 10 MB
% 1.00/0.56 % (548430)Instructions burned: 25 (million)
% 1.00/0.56 % (548440)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1241175559:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 1.00/0.56 % (548440)Instruction limit reached!
% 1.00/0.56 % (548440)------------------------------
% 1.00/0.56 % (548440)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.00/0.56 % (548440)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.00/0.56 % (548440)CaDiCaL version: 2.1.3
% 1.00/0.56 % (548440)Termination reason: Instruction limit
% 1.00/0.56 % (548440)Termination phase: shuffling
% 1.00/0.56 % (548440)Time elapsed: 0.003 s
% 1.00/0.56 % (548440)Peak memory usage: 10 MB
% 1.00/0.56 % (548440)Instructions burned: 3 (million)
% 1.00/0.56 % (548442)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.00/0.56 % (548442)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2011750320:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 1.73/0.62 % (548442)Instruction limit reached!
% 1.73/0.62 % (548442)------------------------------
% 1.73/0.62 % (548442)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.73/0.62 % (548442)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.73/0.62 % (548442)CaDiCaL version: 2.1.3
% 1.73/0.62 % (548442)Termination reason: Instruction limit
% 1.73/0.62 % (548442)Termination phase: shuffling
% 1.73/0.62 % (548442)Time elapsed: 0.004 s
% 1.73/0.62 % (548442)Peak memory usage: 10 MB
% 1.73/0.62 % (548442)Instructions burned: 8 (million)
% 1.73/0.62 % (548441)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3397657984:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 1.73/0.62 % (548426)Instruction limit reached!
% 1.73/0.62 % (548426)------------------------------
% 1.73/0.62 % (548426)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.73/0.62 % (548426)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.73/0.62 % (548426)CaDiCaL version: 2.1.3
% 1.73/0.62 % (548426)Termination reason: Instruction limit
% 1.73/0.62 % (548426)Termination phase: Property scanning
% 1.73/0.62 % (548426)Time elapsed: 0.064 s
% 1.73/0.62 % (548426)Peak memory usage: 12 MB
% 1.73/0.62 % (548426)Instructions burned: 90 (million)
% 1.73/0.62 % (548441)Instruction limit reached!
% 1.73/0.62 % (548441)------------------------------
% 1.73/0.62 % (548441)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.73/0.62 % (548441)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.73/0.62 % (548441)CaDiCaL version: 2.1.3
% 1.73/0.62 % (548441)Termination reason: Instruction limit
% 1.73/0.62 % (548441)Termination phase: shuffling
% 1.73/0.62 % (548441)Time elapsed: 0.005 s
% 1.73/0.62 % (548441)Peak memory usage: 10 MB
% 1.73/0.62 % (548441)Instructions burned: 5 (million)
% 1.73/0.62 % (548444)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=2536547837:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 1.73/0.62 % (548431)Instruction limit reached!
% 1.73/0.62 % (548431)------------------------------
% 1.73/0.62 % (548431)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.73/0.62 % (548431)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.73/0.62 % (548431)CaDiCaL version: 2.1.3
% 1.73/0.62 % (548431)Termination reason: Instruction limit
% 1.73/0.62 % (548431)Termination phase: Function definition elimination
% 1.73/0.62 % (548431)Time elapsed: 0.061 s
% 1.73/0.62 % (548431)Peak memory usage: 12 MB
% 1.73/0.62 % (548431)Instructions burned: 76 (million)
% 1.73/0.62 % (548444)Instruction limit reached!
% 1.73/0.62 % (548444)------------------------------
% 1.73/0.62 % (548444)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.73/0.62 % (548444)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.73/0.62 % (548444)CaDiCaL version: 2.1.3
% 1.73/0.62 % (548444)Termination reason: Instruction limit
% 1.73/0.62 % (548444)Termination phase: shuffling
% 1.73/0.62 % (548444)Time elapsed: 0.011 s
% 1.73/0.62 % (548444)Peak memory usage: 10 MB
% 1.73/0.62 % (548444)Instructions burned: 12 (million)
% 1.73/0.62 % (548446)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
% 1.73/0.62 % (548446)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.73/0.62 % (548446)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1880340131:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 1.73/0.62 % (548448)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=2662414951:i=86:piset=equals:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/86Mi)
% 1.73/0.62 % (548449)lrs+10_1_si=on:cs=on:random_seed=328024454:i=8:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.73/0.62 % (548449)Instruction limit reached!
% 1.73/0.62 % (548449)------------------------------
% 1.73/0.62 % (548449)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.13/0.68 % (548449)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.13/0.68 % (548449)CaDiCaL version: 2.1.3
% 2.13/0.68 % (548449)Termination reason: Instruction limit
% 2.13/0.68 % (548449)Termination phase: shuffling
% 2.13/0.68 % (548449)Time elapsed: 0.007 s
% 2.13/0.68 % (548449)Peak memory usage: 10 MB
% 2.13/0.68 % (548449)Instructions burned: 8 (million)
% 2.13/0.68 % (548451)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 2.13/0.68 % (548451)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=3515635950:i=2:add=on:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 2.13/0.68 % (548451)Instruction limit reached!
% 2.13/0.68 % (548451)------------------------------
% 2.13/0.68 % (548451)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.13/0.68 % (548451)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.13/0.68 % (548451)CaDiCaL version: 2.1.3
% 2.13/0.68 % (548451)Termination reason: Instruction limit
% 2.13/0.68 % (548451)Termination phase: shuffling
% 2.13/0.68 % (548451)Time elapsed: 0.003 s
% 2.13/0.68 % (548451)Peak memory usage: 10 MB
% 2.13/0.68 % (548451)Instructions burned: 3 (million)
% 2.13/0.68 % (548446)Instruction limit reached!
% 2.13/0.68 % (548446)------------------------------
% 2.13/0.68 % (548446)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.13/0.68 % (548446)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.13/0.68 % (548446)CaDiCaL version: 2.1.3
% 2.13/0.68 % (548446)Termination reason: Instruction limit
% 2.13/0.68 % (548446)Termination phase: shuffling
% 2.13/0.68 % (548446)Time elapsed: 0.023 s
% 2.13/0.68 % (548446)Peak memory usage: 10 MB
% 2.13/0.68 % (548446)Instructions burned: 28 (million)
% 2.13/0.68 % (548452)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=317580222:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 2.13/0.68 % (548458)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=784936055:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 2.13/0.68 % (548460)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1762526806:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 2.13/0.68 % (548432)Instruction limit reached!
% 2.13/0.68 % (548432)------------------------------
% 2.13/0.68 % (548432)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.13/0.68 % (548432)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.13/0.68 % (548432)CaDiCaL version: 2.1.3
% 2.13/0.68 % (548432)Termination reason: Instruction limit
% 2.13/0.68 % (548432)Termination phase: Saturation
% 2.13/0.68 % (548432)Time elapsed: 0.126 s
% 2.13/0.68 % (548432)Peak memory usage: 13 MB
% 2.13/0.68 % (548432)Instructions burned: 158 (million)
% 2.13/0.68 % (548452)Instruction limit reached!
% 2.13/0.68 % (548452)------------------------------
% 2.13/0.68 % (548452)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.13/0.68 % (548452)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.13/0.68 % (548452)CaDiCaL version: 2.1.3
% 2.13/0.68 % (548452)Termination reason: Instruction limit
% 2.13/0.68 % (548452)Termination phase: SInE selection
% 2.13/0.68 % (548452)Time elapsed: 0.031 s
% 2.13/0.68 % (548452)Peak memory usage: 11 MB
% 2.13/0.68 % (548452)Instructions burned: 38 (million)
% 2.13/0.68 % (548463)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=2624726664:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 2.13/0.68 % (548460)Instruction limit reached!
% 2.13/0.68 % (548460)------------------------------
% 2.13/0.68 % (548460)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.13/0.68 % (548460)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.13/0.68 % (548460)CaDiCaL version: 2.1.3
% 2.13/0.68 % (548460)Termination reason: Instruction limit
% 2.13/0.68 % (548460)Termination phase: Property scanning
% 2.13/0.68 % (548460)Time elapsed: 0.018 s
% 2.13/0.68 % (548460)Peak memory usage: 10 MB
% 2.13/0.68 % (548460)Instructions burned: 26 (million)
% 2.13/0.68 % (548467)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=4286451393:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 2.42/0.74 % (548463)Instruction limit reached!
% 2.42/0.74 % (548463)------------------------------
% 2.42/0.74 % (548463)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.42/0.74 % (548463)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.42/0.74 % (548463)CaDiCaL version: 2.1.3
% 2.42/0.74 % (548463)Termination reason: Instruction limit
% 2.42/0.74 % (548463)Termination phase: shuffling
% 2.42/0.74 % (548463)Time elapsed: 0.012 s
% 2.42/0.74 % (548463)Peak memory usage: 10 MB
% 2.42/0.74 % (548463)Instructions burned: 15 (million)
% 2.42/0.74 % (548448)Instruction limit reached!
% 2.42/0.74 % (548448)------------------------------
% 2.42/0.74 % (548448)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.42/0.74 % (548448)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.42/0.74 % (548448)CaDiCaL version: 2.1.3
% 2.42/0.74 % (548448)Termination reason: Instruction limit
% 2.42/0.74 % (548448)Termination phase: Function definition elimination
% 2.42/0.74 % (548448)Time elapsed: 0.073 s
% 2.42/0.74 % (548448)Peak memory usage: 11 MB
% 2.42/0.74 % (548448)Instructions burned: 90 (million)
% 2.42/0.74 % (548468)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=2351934487:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 2.42/0.74 % (548470)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=1903762598: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)
% 2.42/0.74 % (548470)Instruction limit reached!
% 2.42/0.74 % (548470)------------------------------
% 2.42/0.74 % (548470)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.42/0.74 % (548470)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.42/0.74 % (548470)CaDiCaL version: 2.1.3
% 2.42/0.74 % (548470)Termination reason: Instruction limit
% 2.42/0.74 % (548470)Termination phase: shuffling
% 2.42/0.74 % (548470)Time elapsed: 0.003 s
% 2.42/0.74 % (548470)Peak memory usage: 10 MB
% 2.42/0.74 % (548470)Instructions burned: 3 (million)
% 2.42/0.74 % (548468)Instruction limit reached!
% 2.42/0.74 % (548468)------------------------------
% 2.42/0.74 % (548468)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.42/0.74 % (548468)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.42/0.74 % (548468)CaDiCaL version: 2.1.3
% 2.42/0.74 % (548468)Termination reason: Instruction limit
% 2.42/0.74 % (548468)Termination phase: shuffling
% 2.42/0.74 % (548468)Time elapsed: 0.011 s
% 2.42/0.74 % (548468)Peak memory usage: 10 MB
% 2.42/0.74 % (548468)Instructions burned: 14 (million)
% 2.42/0.74 % (548472)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1944958260:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 2.42/0.74 % (548473)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=738455151:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 2.42/0.74 % (548476)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=2972684982:cond=on:i=60:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/60Mi)
% 2.42/0.74 % (548477)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
% 2.42/0.74 % (548477)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 2.42/0.74 % (548472)Instruction limit reached!
% 2.42/0.74 % (548472)------------------------------
% 2.42/0.74 % (548472)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.42/0.74 % (548472)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.42/0.74 % (548472)CaDiCaL version: 2.1.3
% 2.42/0.74 % (548472)Termination reason: Instruction limit
% 2.42/0.74 % (548472)Termination phase: shuffling
% 2.42/0.74 % (548472)Time elapsed: 0.023 s
% 2.42/0.74 % (548472)Peak memory usage: 10 MB
% 2.42/0.74 % (548472)Instructions burned: 27 (million)
% 2.42/0.74 % (548473)Instruction limit reached!
% 2.42/0.74 % (548473)------------------------------
% 2.42/0.74 % (548473)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.74/0.86 % (548473)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.74/0.86 % (548473)CaDiCaL version: 2.1.3
% 2.74/0.86 % (548473)Termination reason: Instruction limit
% 2.74/0.86 % (548473)Termination phase: Property scanning
% 2.74/0.86 % (548473)Time elapsed: 0.019 s
% 2.74/0.86 % (548473)Peak memory usage: 10 MB
% 2.74/0.86 % (548473)Instructions burned: 23 (million)
% 2.74/0.86 % (548477)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=3260898314:i=14:add=off:nm=40:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/14Mi)
% 2.74/0.86 % (548477)Instruction limit reached!
% 2.74/0.86 % (548477)------------------------------
% 2.74/0.86 % (548477)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.74/0.86 % (548477)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.74/0.86 % (548477)CaDiCaL version: 2.1.3
% 2.74/0.86 % (548477)Termination reason: Instruction limit
% 2.74/0.86 % (548477)Termination phase: shuffling
% 2.74/0.86 % (548477)Time elapsed: 0.012 s
% 2.74/0.86 % (548477)Peak memory usage: 10 MB
% 2.74/0.86 % (548477)Instructions burned: 14 (million)
% 2.74/0.86 % (548481)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 2.74/0.86 % (548481)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=2715619805:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2997 on theBenchmark for (2997ds/8Mi)
% 2.74/0.86 % (548482)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=1745179039:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2997 on theBenchmark for (2997ds/31Mi)
% 2.74/0.86 % (548481)Instruction limit reached!
% 2.74/0.86 % (548481)------------------------------
% 2.74/0.86 % (548481)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.74/0.86 % (548481)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.74/0.86 % (548481)CaDiCaL version: 2.1.3
% 2.74/0.86 % (548481)Termination reason: Instruction limit
% 2.74/0.86 % (548481)Termination phase: shuffling
% 2.74/0.86 % (548481)Time elapsed: 0.008 s
% 2.74/0.86 % (548481)Peak memory usage: 10 MB
% 2.74/0.86 % (548481)Instructions burned: 8 (million)
% 2.74/0.86 % (548484)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=1681952920:i=7:hud=5:bd=preordered:rtra=on:bet=on_2997 on theBenchmark for (2997ds/7Mi)
% 2.74/0.86 % (548476)Instruction limit reached!
% 2.74/0.86 % (548476)------------------------------
% 2.74/0.86 % (548476)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.74/0.86 % (548476)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.74/0.86 % (548476)CaDiCaL version: 2.1.3
% 2.74/0.86 % (548476)Termination reason: Instruction limit
% 2.74/0.86 % (548476)Termination phase: Property scanning
% 2.74/0.86 % (548476)Time elapsed: 0.050 s
% 2.74/0.86 % (548476)Peak memory usage: 11 MB
% 2.74/0.86 % (548476)Instructions burned: 60 (million)
% 2.74/0.86 % (548484)Instruction limit reached!
% 2.74/0.86 % (548484)------------------------------
% 2.74/0.86 % (548484)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.74/0.86 % (548484)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.74/0.86 % (548484)CaDiCaL version: 2.1.3
% 2.74/0.86 % (548484)Termination reason: Instruction limit
% 2.74/0.86 % (548484)Termination phase: shuffling
% 2.74/0.86 % (548484)Time elapsed: 0.003 s
% 2.74/0.86 % (548484)Peak memory usage: 10 MB
% 2.74/0.86 % (548484)Instructions burned: 7 (million)
% 2.74/0.86 % (548482)Instruction limit reached!
% 2.74/0.86 % (548482)------------------------------
% 2.74/0.86 % (548482)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.74/0.86 % (548482)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.74/0.86 % (548482)CaDiCaL version: 2.1.3
% 2.74/0.86 % (548482)Termination reason: Instruction limit
% 2.74/0.86 % (548482)Termination phase: shuffling
% 2.74/0.86 % (548482)Time elapsed: 0.026 s
% 2.74/0.86 % (548482)Peak memory usage: 10 MB
% 2.74/0.86 % (548482)Instructions burned: 31 (million)
% 2.74/0.86 % (548489)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1865518751:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2996 on theBenchmark for (2996ds/20Mi)
% 2.74/0.86 % (548487)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=2176284287:i=23:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 3.50/0.94 % (548429)Instruction limit reached!
% 3.50/0.94 % (548429)------------------------------
% 3.50/0.94 % (548429)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.50/0.94 % (548429)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.50/0.94 % (548429)CaDiCaL version: 2.1.3
% 3.50/0.94 % (548429)Termination reason: Instruction limit
% 3.50/0.94 % (548429)Termination phase: Saturation
% 3.50/0.94 % (548429)Time elapsed: 0.295 s
% 3.50/0.94 % (548429)Peak memory usage: 16 MB
% 3.50/0.94 % (548429)Instructions burned: 635 (million)
% 3.50/0.94 % (548490)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=2256611560:i=1240:rtra=on:ixr=off_2996 on theBenchmark for (2996ds/1240Mi)
% 3.50/0.94 % (548489)Instruction limit reached!
% 3.50/0.94 % (548489)------------------------------
% 3.50/0.94 % (548489)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.50/0.94 % (548489)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.50/0.94 % (548489)CaDiCaL version: 2.1.3
% 3.50/0.94 % (548489)Termination reason: Instruction limit
% 3.50/0.94 % (548489)Termination phase: Property scanning
% 3.50/0.94 % (548489)Time elapsed: 0.010 s
% 3.50/0.94 % (548489)Peak memory usage: 10 MB
% 3.50/0.94 % (548489)Instructions burned: 21 (million)
% 3.50/0.94 % (548487)Instruction limit reached!
% 3.50/0.94 % (548487)------------------------------
% 3.50/0.94 % (548487)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.50/0.94 % (548487)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.50/0.94 % (548487)CaDiCaL version: 2.1.3
% 3.50/0.94 % (548487)Termination reason: Instruction limit
% 3.50/0.94 % (548487)Termination phase: shuffling
% 3.50/0.94 % (548487)Time elapsed: 0.019 s
% 3.50/0.94 % (548487)Peak memory usage: 10 MB
% 3.50/0.94 % (548487)Instructions burned: 23 (million)
% 3.50/0.94 % (548492)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=3349591663:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2996 on theBenchmark for (2996ds/143Mi)
% 3.50/0.94 % (548498)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=357788472:i=42:hud=10:rtra=on_2996 on theBenchmark for (2996ds/42Mi)
% 3.50/0.94 % (548495)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=162934595:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/193Mi)
% 3.50/0.94 % (548499)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 3.50/0.94 % (548499)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3119284519:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2996 on theBenchmark for (2996ds/7Mi)
% 3.50/0.94 % (548498)Instruction limit reached!
% 3.50/0.94 % (548498)------------------------------
% 3.50/0.94 % (548498)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.50/0.94 % (548498)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.50/0.94 % (548498)CaDiCaL version: 2.1.3
% 3.50/0.94 % (548498)Termination reason: Instruction limit
% 3.50/0.94 % (548498)Termination phase: Preprocessing 3
% 3.50/0.94 % (548498)Time elapsed: 0.018 s
% 3.50/0.94 % (548498)Peak memory usage: 11 MB
% 3.50/0.94 % (548498)Instructions burned: 43 (million)
% 3.50/0.94 % (548499)Instruction limit reached!
% 3.50/0.94 % (548499)------------------------------
% 3.50/0.94 % (548499)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.50/0.94 % (548499)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.50/0.94 % (548499)CaDiCaL version: 2.1.3
% 3.50/0.94 % (548499)Termination reason: Instruction limit
% 3.50/0.94 % (548499)Termination phase: shuffling
% 3.50/0.94 % (548499)Time elapsed: 0.004 s
% 3.50/0.94 % (548499)Peak memory usage: 10 MB
% 3.50/0.94 % (548499)Instructions burned: 8 (million)
% 3.50/0.94 % (548458)Instruction limit reached!
% 3.50/0.94 % (548458)------------------------------
% 3.50/0.94 % (548458)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.50/0.94 % (548458)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.50/0.94 % (548458)CaDiCaL version: 2.1.3
% 3.50/0.94 % (548458)Termination reason: Instruction limit
% 3.50/0.94 % (548458)Termination phase: Saturation
% 4.81/1.09 % (548458)Time elapsed: 0.215 s
% 4.81/1.09 % (548458)Peak memory usage: 13 MB
% 4.81/1.09 % (548458)Instructions burned: 250 (million)
% 4.81/1.09 % (548504)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=3427135545:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/181Mi)
% 4.81/1.09 % (548505)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=147693476:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2996 on theBenchmark for (2996ds/169Mi)
% 4.81/1.09 % (548506)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 4.81/1.09 % (548506)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=1327392447:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2996 on theBenchmark for (2996ds/6Mi)
% 4.81/1.09 % (548506)Instruction limit reached!
% 4.81/1.09 % (548506)------------------------------
% 4.81/1.09 % (548506)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.81/1.09 % (548506)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.81/1.09 % (548506)CaDiCaL version: 2.1.3
% 4.81/1.09 % (548506)Termination reason: Instruction limit
% 4.81/1.09 % (548506)Termination phase: shuffling
% 4.81/1.09 % (548506)Time elapsed: 0.005 s
% 4.81/1.09 % (548506)Peak memory usage: 10 MB
% 4.81/1.09 % (548506)Instructions burned: 6 (million)
% 4.81/1.09 % (548467)Instruction limit reached!
% 4.81/1.09 % (548467)------------------------------
% 4.81/1.09 % (548467)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.81/1.09 % (548467)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.81/1.09 % (548467)CaDiCaL version: 2.1.3
% 4.81/1.09 % (548467)Termination reason: Instruction limit
% 4.81/1.09 % (548467)Termination phase: Saturation
% 4.81/1.09 % (548467)Time elapsed: 0.259 s
% 4.81/1.09 % (548467)Peak memory usage: 15 MB
% 4.81/1.09 % (548467)Instructions burned: 328 (million)
% 4.81/1.09 % (548510)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=4164115645:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2995 on theBenchmark for (2995ds/22Mi)
% 4.81/1.09 % (548492)Instruction limit reached!
% 4.81/1.09 % (548492)------------------------------
% 4.81/1.09 % (548492)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.81/1.09 % (548492)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.81/1.09 % (548492)CaDiCaL version: 2.1.3
% 4.81/1.09 % (548492)Termination reason: Instruction limit
% 4.81/1.09 % (548492)Termination phase: Saturation
% 4.81/1.09 % (548492)Time elapsed: 0.115 s
% 4.81/1.09 % (548492)Peak memory usage: 13 MB
% 4.81/1.09 % (548492)Instructions burned: 144 (million)
% 4.81/1.09 % (548504)Instruction limit reached!
% 4.81/1.09 % (548504)------------------------------
% 4.81/1.09 % (548504)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.81/1.09 % (548504)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.81/1.09 % (548504)CaDiCaL version: 2.1.3
% 4.81/1.09 % (548504)Termination reason: Instruction limit
% 4.81/1.09 % (548504)Termination phase: Saturation
% 4.81/1.09 % (548504)Time elapsed: 0.082 s
% 4.81/1.09 % (548504)Peak memory usage: 14 MB
% 4.81/1.09 % (548504)Instructions burned: 182 (million)
% 4.81/1.09 % (548510)Instruction limit reached!
% 4.81/1.09 % (548510)------------------------------
% 4.81/1.09 % (548510)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.81/1.09 % (548510)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.81/1.09 % (548510)CaDiCaL version: 2.1.3
% 4.81/1.09 % (548510)Termination reason: Instruction limit
% 4.81/1.09 % (548510)Termination phase: Property scanning
% 4.81/1.09 % (548510)Time elapsed: 0.018 s
% 4.81/1.09 % (548510)Peak memory usage: 10 MB
% 4.81/1.09 % (548510)Instructions burned: 22 (million)
% 4.81/1.09 % (548515)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=51487190:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2995 on theBenchmark for (2995ds/45Mi)
% 4.81/1.09 % (548513)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=1402503691:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/316Mi)
% 4.81/1.09 % (548514)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=1731652035:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2995 on theBenchmark for (2995ds/853Mi)
% 4.81/1.09 % (548515)Instruction limit reached!
% 4.81/1.09 % (548515)------------------------------
% 4.81/1.09 % (548515)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.81/1.09 % (548515)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.81/1.09 % (548515)CaDiCaL version: 2.1.3
% 4.81/1.09 % (548515)Termination reason: Instruction limit
% 4.81/1.09 % (548515)Termination phase: SInE selection
% 4.81/1.09 % (548515)Time elapsed: 0.019 s
% 4.81/1.09 % (548515)Peak memory usage: 11 MB
% 4.81/1.09 % (548515)Instructions burned: 45 (million)
% 4.81/1.09 % (548511)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=3419658354:i=19:add=on:rtra=on_2995 on theBenchmark for (2995ds/19Mi)
% 4.81/1.09 % (548495)Instruction limit reached!
% 4.81/1.09 % (548495)------------------------------
% 4.81/1.09 % (548495)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.81/1.09 % (548495)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.81/1.09 % (548495)CaDiCaL version: 2.1.3
% 4.81/1.09 % (548495)Termination reason: Instruction limit
% 4.81/1.09 % (548495)Termination phase: Saturation
% 4.81/1.09 % (548495)Time elapsed: 0.166 s
% 4.81/1.09 % (548495)Peak memory usage: 14 MB
% 4.81/1.09 % (548495)Instructions burned: 193 (million)
% 4.81/1.09 % (548511)Instruction limit reached!
% 4.81/1.09 % (548511)------------------------------
% 4.81/1.09 % (548511)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.81/1.09 % (548511)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.81/1.09 % (548511)CaDiCaL version: 2.1.3
% 4.81/1.09 % (548511)Termination reason: Instruction limit
% 4.81/1.09 % (548511)Termination phase: shuffling
% 4.81/1.09 % (548511)Time elapsed: 0.010 s
% 4.81/1.09 % (548511)Peak memory usage: 10 MB
% 4.81/1.09 % (548511)Instructions burned: 21 (million)
% 4.81/1.09 % (548505)Instruction limit reached!
% 4.81/1.09 % (548505)------------------------------
% 4.81/1.09 % (548505)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.81/1.09 % (548505)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.81/1.09 % (548505)CaDiCaL version: 2.1.3
% 4.81/1.09 % (548505)Termination reason: Instruction limit
% 4.81/1.09 % (548505)Termination phase: Saturation
% 4.81/1.09 % (548505)Time elapsed: 0.138 s
% 4.81/1.09 % (548505)Peak memory usage: 14 MB
% 4.81/1.09 % (548505)Instructions burned: 170 (million)
% 4.81/1.09 % (548520)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=3381663111:i=480:rtra=on_2994 on theBenchmark for (2994ds/480Mi)
% 4.81/1.09 % (548522)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=2147492254:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2994 on theBenchmark for (2994ds/21Mi)
% 4.81/1.09 % (548523)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 4.81/1.09 % (548523)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=2868494744:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/200Mi)
% 4.81/1.09 % (548526)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=4080608123:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2994 on theBenchmark for (2994ds/13Mi)
% 4.81/1.09 % (548522)Instruction limit reached!
% 4.81/1.09 % (548522)------------------------------
% 4.81/1.09 % (548522)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.81/1.09 % (548522)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.81/1.09 % (548522)CaDiCaL version: 2.1.3
% 4.81/1.09 % (548522)Termination reason: Instruction limit
% 4.81/1.09 % (548522)Termination phase: Property scanning
% 4.81/1.09 % (548522)Time elapsed: 0.018 s
% 4.81/1.09 % (548522)Peak memory usage: 10 MB
% 4.81/1.09 % (548522)Instructions burned: 21 (million)
% 4.81/1.09 % (548526)Instruction limit reached!
% 4.81/1.09 % (548526)------------------------------
% 4.81/1.09 % (548526)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.81/1.09 % (548526)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.81/1.09 % (548526)CaDiCaL version: 2.1.3
% 4.81/1.09 % (548526)Termination reason: Instruction limit
% 4.81/1.09 % (548526)Termination phase: shuffling
% 4.81/1.09 % (548526)Time elapsed: 0.011 s
% 4.81/1.09 % (548526)Peak memory usage: 10 MB
% 4.81/1.09 % (548526)Instructions burned: 13 (million)
% 4.81/1.09 % (548530)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=2321427935:i=66:s2at=3:nm=2:rtra=on:rawr=on_2994 on theBenchmark for (2994ds/66Mi)
% 4.81/1.09 % (548531)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=2571209156:i=51:fsr=off:rtra=on_2994 on theBenchmark for (2994ds/51Mi)
% 4.81/1.09 % (548530)Instruction limit reached!
% 4.81/1.09 % (548530)------------------------------
% 4.81/1.09 % (548530)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.81/1.09 % (548530)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.81/1.09 % (548530)CaDiCaL version: 2.1.3
% 4.81/1.09 % (548530)Termination reason: Instruction limit
% 4.81/1.09 % (548530)Termination phase: SInE selection
% 4.81/1.09 % (548530)Time elapsed: 0.032 s
% 4.81/1.09 % (548530)Peak memory usage: 11 MB
% 4.81/1.09 % (548530)Instructions burned: 66 (million)
% 4.81/1.09 % (548531)Instruction limit reached!
% 4.81/1.09 % (548531)------------------------------
% 4.81/1.09 % (548531)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.81/1.09 % (548531)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.81/1.09 % (548531)CaDiCaL version: 2.1.3
% 4.81/1.09 % (548531)Termination reason: Instruction limit
% 4.81/1.09 % (548531)Termination phase: Property scanning
% 4.81/1.09 % (548531)Time elapsed: 0.044 s
% 4.81/1.09 % (548531)Peak memory usage: 11 MB
% 4.81/1.09 % (548531)Instructions burned: 51 (million)
% 4.81/1.09 % (548534)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=4062224340:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/31Mi)
% 4.81/1.09 % (548535)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=3113292872:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2993 on theBenchmark for (2993ds/137Mi)
% 4.81/1.09 % (548534)Instruction limit reached!
% 4.81/1.09 % (548534)------------------------------
% 4.81/1.09 % (548534)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.81/1.09 % (548534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.81/1.09 % (548534)CaDiCaL version: 2.1.3
% 4.81/1.09 % (548534)Termination reason: Instruction limit
% 4.81/1.09 % (548534)Termination phase: shuffling
% 4.81/1.09 % (548534)Time elapsed: 0.031 s
% 4.81/1.09 % (548534)Peak memory usage: 10 MB
% 4.81/1.09 % (548534)Instructions burned: 31 (million)
% 4.81/1.09 % (548514) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-548421-548514"...
% 4.81/1.09 % (548514)...printing done.
% 4.81/1.09 % (548514)Refutation found. Thanks to Tanya!
% 4.81/1.09 % SZS status Theorem for theBenchmark
% 4.81/1.09 % SZS output start Proof for theBenchmark
% 4.81/1.09 thf(type_def_5, type, list_P559422087at_nat: $tType).
% 4.81/1.09 thf(type_def_6, type, product_prod_nat_nat: $tType).
% 4.81/1.09 thf(type_def_7, type, set_nat: $tType).
% 4.81/1.09 thf(type_def_8, type, capacity: $tType).
% 4.81/1.09 thf(type_def_9, type, nat: $tType).
% 4.81/1.09 thf(type_def_10, type, a: $tType).
% 4.81/1.09 thf(type_def_11, type, sTfun: ($tType * $tType) > $tType).
% 4.81/1.09 thf(func_def_0, type, connected_a: ((product_prod_nat_nat > a) > nat > nat > $o)).
% 4.81/1.09 thf(func_def_1, type, connected_capacity: ((product_prod_nat_nat > capacity) > nat > nat > $o)).
% 4.81/1.09 thf(func_def_2, type, dist_a: ((product_prod_nat_nat > a) > nat > nat > nat > $o)).
% 4.81/1.09 thf(func_def_3, type, dist_capacity: ((product_prod_nat_nat > capacity) > nat > nat > nat > $o)).
% 4.81/1.09 thf(func_def_4, type, isPath_a: ((product_prod_nat_nat > a) > nat > list_P559422087at_nat > nat > $o)).
% 4.81/1.09 thf(func_def_5, type, isPath_capacity: ((product_prod_nat_nat > capacity) > nat > list_P559422087at_nat > nat > $o)).
% 4.81/1.09 thf(func_def_6, type, isShortestPath_a: ((product_prod_nat_nat > a) > nat > list_P559422087at_nat > nat > $o)).
% 4.81/1.09 thf(func_def_7, type, isShor1936442771pacity: ((product_prod_nat_nat > capacity) > nat > list_P559422087at_nat > nat > $o)).
% 4.81/1.09 thf(func_def_8, type, isSimplePath_a: ((product_prod_nat_nat > a) > nat > list_P559422087at_nat > nat > $o)).
% 4.81/1.09 thf(func_def_9, type, isSimp1359852763pacity: ((product_prod_nat_nat > capacity) > nat > list_P559422087at_nat > nat > $o)).
% 4.81/1.09 thf(func_def_10, type, min_dist_a: ((product_prod_nat_nat > a) > nat > nat > nat)).
% 4.81/1.09 thf(func_def_11, type, min_dist_capacity: ((product_prod_nat_nat > capacity) > nat > nat > nat)).
% 4.81/1.09 thf(func_def_12, type, reachableNodes_a: ((product_prod_nat_nat > a) > nat > set_nat)).
% 4.81/1.09 thf(func_def_13, type, reacha1693770334pacity: ((product_prod_nat_nat > capacity) > nat > set_nat)).
% 4.81/1.09 thf(func_def_14, type, plus_plus_nat: (nat > nat > nat)).
% 4.81/1.09 thf(func_def_15, type, size_s1990949619at_nat: (list_P559422087at_nat > nat)).
% 4.81/1.09 thf(func_def_16, type, ord_Least_nat: ((nat > $o) > nat)).
% 4.81/1.09 thf(func_def_17, type, ord_less_nat: (nat > nat > $o)).
% 4.81/1.09 thf(func_def_18, type, ord_less_eq_nat: (nat > nat > $o)).
% 4.81/1.09 thf(func_def_19, type, collect_nat: ((nat > $o) > set_nat)).
% 4.81/1.09 thf(func_def_20, type, member_nat: (nat > set_nat > $o)).
% 4.81/1.09 thf(func_def_21, type, c: (product_prod_nat_nat > capacity)).
% 4.81/1.09 thf(func_def_22, type, c2: (product_prod_nat_nat > a)).
% 4.81/1.09 thf(func_def_23, type, p: list_P559422087at_nat).
% 4.81/1.09 thf(func_def_24, type, p1: list_P559422087at_nat).
% 4.81/1.09 thf(func_def_25, type, p1a: list_P559422087at_nat).
% 4.81/1.09 thf(func_def_26, type, p2: list_P559422087at_nat).
% 4.81/1.09 thf(func_def_27, type, p2_a: list_P559422087at_nat).
% 4.81/1.09 thf(func_def_28, type, p3: list_P559422087at_nat).
% 4.81/1.09 thf(func_def_29, type, s: nat).
% 4.81/1.09 thf(func_def_30, type, t: nat).
% 4.81/1.09 thf(func_def_31, type, u: nat).
% 4.81/1.09 thf(func_def_32, type, ua: nat).
% 4.81/1.09 thf(func_def_33, type, v: nat).
% 4.81/1.09 thf(func_def_34, type, va: nat).
% 4.81/1.09 thf(func_def_38, type, db0: !>[X0: $tType]:(X0)).
% 4.81/1.09 thf(func_def_39, type, db1: !>[X0: $tType]:(X0)).
% 4.81/1.09 thf(func_def_40, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 4.81/1.09 thf(func_def_41, type, db3: !>[X0: $tType]:(X0)).
% 4.81/1.09 thf(func_def_42, type, db2: !>[X0: $tType]:(X0)).
% 4.81/1.09 thf(func_def_43, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 4.81/1.09 thf(func_def_44, type, vAND: ($o > $o > $o)).
% 4.81/1.09 thf(func_def_45, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 4.81/1.09 thf(func_def_46, type, vIMP: ($o > $o > $o)).
% 4.81/1.09 thf(func_def_47, type, vNOT: ($o > $o)).
% 4.81/1.09 thf(func_def_48, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 4.81/1.09 thf(func_def_49, type, db4: !>[X0: $tType]:(X0)).
% 4.81/1.09 thf(func_def_50, type, vOR: ($o > $o > $o)).
% 4.81/1.09 thf(func_def_51, type, sK0: (nat > nat > list_P559422087at_nat)).
% 4.81/1.09 thf(func_def_52, type, sK1: ((nat > nat > $o) > nat)).
% 4.81/1.09 thf(func_def_53, type, sK2: ((nat > nat > $o) > nat)).
% 4.81/1.09 thf(func_def_54, type, sK3: ((nat > nat > $o) > nat)).
% 4.81/1.09 thf(func_def_55, type, sK4: ((nat > nat > $o) > nat)).
% 4.81/1.09 thf(func_def_56, type, sK5: ((nat > nat > $o) > nat)).
% 4.81/1.09 thf(func_def_57, type, sK6: ((nat > nat > $o) > nat)).
% 4.81/1.09 thf(func_def_58, type, sK7: ((nat > nat > $o) > nat)).
% 4.81/1.09 thf(func_def_59, type, sK8: ((nat > nat > $o) > nat)).
% 4.81/1.09 thf(func_def_60, type, sK9: ((nat > nat > $o) > nat)).
% 4.81/1.09 thf(func_def_61, type, sK10: (nat > nat > nat > nat)).
% 4.81/1.09 thf(func_def_62, type, sK11: ((nat > $o) > nat)).
% 4.81/1.09 thf(func_def_63, type, sK12: ((nat > nat) > nat)).
% 4.81/1.09 thf(func_def_64, type, sK13: ((nat > nat) > nat)).
% 4.81/1.09 thf(func_def_65, type, sK14: ((nat > $o) > (nat > $o) > nat)).
% 4.81/1.09 thf(func_def_66, type, sK15: ((product_prod_nat_nat > a) > nat > nat > list_P559422087at_nat)).
% 4.81/1.09 thf(func_def_67, type, sK16: ((nat > $o) > nat)).
% 4.81/1.09 thf(func_def_68, type, sK17: (nat > nat > (product_prod_nat_nat > a) > nat > nat)).
% 4.81/1.09 thf(func_def_69, type, sK18: (nat > nat > list_P559422087at_nat > list_P559422087at_nat)).
% 4.81/1.09 thf(func_def_70, type, sK19: ((product_prod_nat_nat > a) > nat > nat > list_P559422087at_nat)).
% 4.81/1.09 thf(func_def_71, type, sK20: (nat > nat > nat)).
% 4.81/1.09 thf(func_def_72, type, sK21: (nat > nat > (product_prod_nat_nat > capacity) > nat)).
% 4.81/1.09 thf(func_def_73, type, sK22: ((nat > nat) > nat)).
% 4.81/1.09 thf(func_def_74, type, sK23: ((nat > nat) > nat)).
% 4.81/1.09 thf(func_def_75, type, sK24: (nat > nat > nat > list_P559422087at_nat)).
% 4.81/1.09 thf(func_def_76, type, sK25: (nat > nat > (product_prod_nat_nat > a) > nat)).
% 4.81/1.09 thf(func_def_77, type, sK26: ((nat > nat) > nat)).
% 4.81/1.09 thf(func_def_78, type, sK27: ((nat > nat) > nat)).
% 4.81/1.09 thf(func_def_79, type, sK28: ((nat > nat) > nat)).
% 4.81/1.09 thf(func_def_80, type, sK29: ((nat > nat) > nat)).
% 4.81/1.09 thf(func_def_81, type, sK30: (nat > nat > nat)).
% 4.81/1.09 thf(func_def_82, type, sK31: ((nat > $o) > (nat > $o) > nat)).
% 4.81/1.09 thf(func_def_83, type, sK32: ((nat > nat) > nat)).
% 4.81/1.09 thf(func_def_84, type, sK33: ((nat > nat) > nat)).
% 4.81/1.09 thf(func_def_85, type, sK34: (nat > nat)).
% 4.81/1.09 thf(func_def_86, type, sK35: (nat > nat > list_P559422087at_nat)).
% 4.81/1.09 thf(func_def_87, type, sK36: (nat > nat > nat > list_P559422087at_nat)).
% 4.81/1.09 thf(func_def_88, type, sK37: (nat > nat > nat)).
% 4.81/1.09 thf(func_def_89, type, sK38: ((nat > $o) > (product_prod_nat_nat > a) > nat > nat > nat)).
% 4.81/1.09 thf(func_def_90, type, sK39: (nat > (nat > $o) > nat > nat)).
% 4.81/1.09 thf(func_def_91, type, sK40: (nat > (nat > $o) > nat > nat)).
% 4.81/1.09 thf(func_def_92, type, sK41: (nat > nat > list_P559422087at_nat)).
% 4.81/1.09 thf(func_def_93, type, sK42: ((nat > nat) > nat)).
% 4.81/1.09 thf(func_def_94, type, sK43: ((nat > nat) > nat)).
% 4.81/1.09 thf(func_def_95, type, sK44: (nat > nat > nat > (product_prod_nat_nat > capacity) > nat)).
% 4.81/1.09 thf(func_def_96, type, sK45: (nat > nat > (product_prod_nat_nat > capacity) > list_P559422087at_nat)).
% 4.81/1.09 thf(func_def_97, type, sK46: (nat > nat > list_P559422087at_nat)).
% 4.81/1.09 thf(func_def_98, type, sK47: (nat > nat > nat)).
% 4.81/1.09 thf(func_def_99, type, sK48: (nat > (product_prod_nat_nat > capacity) > nat > list_P559422087at_nat)).
% 4.81/1.09 thf(func_def_100, type, sK49: (nat > nat > list_P559422087at_nat)).
% 4.81/1.09 thf(func_def_101, type, sK50: ((nat > $o) > nat)).
% 4.81/1.09 thf(func_def_102, type, sK51: (nat > nat > nat > nat)).
% 4.81/1.09 thf(func_def_103, type, sK52: ((product_prod_nat_nat > capacity) > (nat > $o) > nat > nat > nat)).
% 4.81/1.09 thf(func_def_104, type, sK53: ((nat > $o) > (nat > $o) > nat)).
% 4.81/1.09 thf(func_def_105, type, sK54: ((product_prod_nat_nat > capacity) > nat > nat > nat)).
% 4.81/1.09 thf(func_def_106, type, sK55: (nat > nat > nat)).
% 4.81/1.09 thf(func_def_107, type, sK56: (nat > nat > nat)).
% 4.81/1.09 thf(func_def_108, type, sK57: (nat > nat > list_P559422087at_nat > list_P559422087at_nat)).
% 4.81/1.09 thf(func_def_109, type, sK58: ((nat > nat) > nat)).
% 4.81/1.09 thf(func_def_110, type, sK59: ((nat > nat) > nat)).
% 4.81/1.09 thf(func_def_111, type, sK60: (nat > nat > (product_prod_nat_nat > a) > nat)).
% 4.81/1.09 thf(func_def_112, type, sK61: (nat > nat > nat)).
% 4.81/1.09 thf(func_def_113, type, sK62: (nat > nat > list_P559422087at_nat)).
% 4.81/1.09 thf(func_def_114, type, sK63: ((nat > nat) > nat)).
% 4.81/1.09 thf(func_def_115, type, sK64: ((nat > nat) > nat)).
% 4.81/1.09 thf(func_def_116, type, sK65: ((nat > nat) > nat)).
% 4.81/1.09 thf(func_def_117, type, sK66: ((nat > nat) > nat)).
% 4.81/1.09 thf(func_def_118, type, sK67: (nat > nat > nat)).
% 4.81/1.09 thf(func_def_119, type, sK68: ((nat > nat) > nat)).
% 4.81/1.09 thf(func_def_120, type, sK69: ((nat > nat) > nat)).
% 4.81/1.09 thf(func_def_121, type, sK70: ((nat > $o) > nat)).
% 4.81/1.09 thf(func_def_122, type, sK71: (nat > (nat > $o) > nat)).
% 4.81/1.09 thf(f1,axiom,(
% 4.81/1.09 (((min_dist_capacity @ c @ s @ t)) = ((plus_plus_nat @ (min_dist_capacity @ c @ s @ ua) @ (min_dist_capacity @ c @ ua @ t))))),
% 4.81/1.09 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0__092_060open_062min__dist_As_At_A_061_Amin__dist_As_Au_A_L_Amin__dist_Au_At_092_060close_062)).
% 4.81/1.09 thf(f2,axiom,(
% 4.81/1.09 (ord_less_nat @ (min_dist_capacity @ c @ s @ ua) @ (size_s1990949619at_nat @ p1a))),
% 4.81/1.09 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1__092_060open_062min__dist_As_Au_A_060_Alength_Ap1_092_060close_062)).
% 4.81/1.09 thf(f3,axiom,(
% 4.81/1.09 (ord_less_eq_nat @ (min_dist_capacity @ c @ ua @ t) @ (size_s1990949619at_nat @ p2_a))),
% 4.81/1.09 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2__092_060open_062min__dist_Au_At_A_092_060le_062_Alength_Ap2_H_092_060close_062)).
% 4.81/1.09 thf(f93,axiom,(
% 4.81/1.09 ! [X1 : nat,X0 : nat,X2 : nat,X3 : nat] : (((ord_less_eq_nat @ X2 @ X3) & (ord_less_nat @ X0 @ X1)) => (ord_less_nat @ (plus_plus_nat @ X0 @ X2) @ (plus_plus_nat @ X1 @ X3)))),
% 4.81/1.09 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_92_add__mono__thms__linordered__field_I3_J)).
% 4.81/1.09 thf(f274,conjecture,(
% 4.81/1.09 (ord_less_nat @ (min_dist_capacity @ c @ s @ t) @ (plus_plus_nat @ (size_s1990949619at_nat @ p1a) @ (size_s1990949619at_nat @ p2_a)))),
% 4.81/1.09 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)).
% 4.81/1.09 thf(f275,negated_conjecture,(
% 4.81/1.09 ~(ord_less_nat @ (min_dist_capacity @ c @ s @ t) @ (plus_plus_nat @ (size_s1990949619at_nat @ p1a) @ (size_s1990949619at_nat @ p2_a)))),
% 4.81/1.09 inference(negated_conjecture,[status(cth)],[f274])).
% 4.81/1.09 thf(f296,plain,(
% 4.81/1.09 (ord_less_nat @ (min_dist_capacity @ c @ s @ ua) @ (size_s1990949619at_nat @ p1a))),
% 4.81/1.09 inference(rectify,[],[f2])).
% 4.81/1.09 thf(f297,plain,(
% 4.81/1.09 (((ord_less_nat @ (min_dist_capacity @ c @ s @ ua) @ (size_s1990949619at_nat @ p1a))) = $true)),
% 4.81/1.09 inference(fool_elimination,[],[f296])).
% 4.81/1.09 thf(f319,plain,(
% 4.81/1.09 ~(ord_less_nat @ (min_dist_capacity @ c @ s @ t) @ (plus_plus_nat @ (size_s1990949619at_nat @ p1a) @ (size_s1990949619at_nat @ p2_a)))),
% 4.81/1.09 inference(rectify,[],[f275])).
% 4.81/1.09 thf(f320,plain,(
% 4.81/1.09 ~ (((ord_less_nat @ (min_dist_capacity @ c @ s @ t) @ (plus_plus_nat @ (size_s1990949619at_nat @ p1a) @ (size_s1990949619at_nat @ p2_a)))) = $true)),
% 4.81/1.09 inference(fool_elimination,[],[f319])).
% 4.81/1.09 thf(f578,plain,(
% 4.81/1.09 ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat] : (((ord_less_eq_nat @ X2 @ X3) & (ord_less_nat @ X1 @ X0)) => (ord_less_nat @ (plus_plus_nat @ X1 @ X2) @ (plus_plus_nat @ X0 @ X3)))),
% 4.81/1.09 inference(rectify,[],[f93])).
% 4.81/1.09 thf(f579,plain,(
% 4.81/1.09 ! [X2 : nat,X1 : nat,X3 : nat,X0 : nat] : (((((ord_less_eq_nat @ X2 @ X3)) = $true) & (((ord_less_nat @ X1 @ X0)) = $true)) => ($true = ((ord_less_nat @ (plus_plus_nat @ X1 @ X2) @ (plus_plus_nat @ X0 @ X3)))))),
% 4.81/1.09 inference(fool_elimination,[],[f578])).
% 4.81/1.09 thf(f696,plain,(
% 4.81/1.09 (ord_less_eq_nat @ (min_dist_capacity @ c @ ua @ t) @ (size_s1990949619at_nat @ p2_a))),
% 4.81/1.09 inference(rectify,[],[f3])).
% 4.81/1.09 thf(f697,plain,(
% 4.81/1.09 (((ord_less_eq_nat @ (min_dist_capacity @ c @ ua @ t) @ (size_s1990949619at_nat @ p2_a))) = $true)),
% 4.81/1.09 inference(fool_elimination,[],[f696])).
% 4.81/1.09 thf(f755,plain,(
% 4.81/1.09 (((ord_less_nat @ (min_dist_capacity @ c @ s @ t) @ (plus_plus_nat @ (size_s1990949619at_nat @ p1a) @ (size_s1990949619at_nat @ p2_a)))) != $true)),
% 4.81/1.09 inference(flattening,[],[f320])).
% 4.81/1.09 thf(f1022,plain,(
% 4.81/1.09 ! [X2 : nat,X1 : nat,X3 : nat,X0 : nat] : (($true = ((ord_less_nat @ (plus_plus_nat @ X1 @ X2) @ (plus_plus_nat @ X0 @ X3)))) | ((((ord_less_eq_nat @ X2 @ X3)) != $true) | (((ord_less_nat @ X1 @ X0)) != $true)))),
% 4.81/1.09 inference(ennf_transformation,[],[f579])).
% 4.81/1.09 thf(f1023,plain,(
% 4.81/1.09 ! [X1 : nat,X2 : nat,X0 : nat,X3 : nat] : ((((ord_less_eq_nat @ X2 @ X3)) != $true) | ($true = ((ord_less_nat @ (plus_plus_nat @ X1 @ X2) @ (plus_plus_nat @ X0 @ X3)))) | (((ord_less_nat @ X1 @ X0)) != $true))),
% 4.81/1.09 inference(flattening,[],[f1022])).
% 4.81/1.09 thf(f1060,plain,(
% 4.81/1.09 ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat] : ((((ord_less_eq_nat @ X1 @ X3)) != $true) | (((ord_less_nat @ (plus_plus_nat @ X0 @ X1) @ (plus_plus_nat @ X2 @ X3))) = $true) | (((ord_less_nat @ X0 @ X2)) != $true))),
% 4.81/1.09 inference(rectify,[],[f1023])).
% 4.81/1.09 thf(f1314,plain,(
% 4.81/1.09 ( ! [X2 : nat,X3 : nat,X0 : nat,X1 : nat] : ((((ord_less_eq_nat @ X1 @ X3)) != $true) | (((ord_less_nat @ X0 @ X2)) != $true) | (((ord_less_nat @ (plus_plus_nat @ X0 @ X1) @ (plus_plus_nat @ X2 @ X3))) = $true)) )),
% 4.81/1.09 inference(cnf_transformation,[],[f1060])).
% 4.81/1.09 thf(f1347,plain,(
% 4.81/1.09 (((ord_less_nat @ (min_dist_capacity @ c @ s @ t) @ (plus_plus_nat @ (size_s1990949619at_nat @ p1a) @ (size_s1990949619at_nat @ p2_a)))) != $true)),
% 4.81/1.09 inference(cnf_transformation,[],[f755])).
% 4.81/1.09 thf(f1458,plain,(
% 4.81/1.09 (((ord_less_eq_nat @ (min_dist_capacity @ c @ ua @ t) @ (size_s1990949619at_nat @ p2_a))) = $true)),
% 4.81/1.09 inference(cnf_transformation,[],[f697])).
% 4.81/1.09 thf(f1534,plain,(
% 4.81/1.09 (((min_dist_capacity @ c @ s @ t)) = ((plus_plus_nat @ (min_dist_capacity @ c @ s @ ua) @ (min_dist_capacity @ c @ ua @ t))))),
% 4.81/1.09 inference(cnf_transformation,[],[f1])).
% 4.81/1.09 thf(f1685,plain,(
% 4.81/1.09 (((ord_less_nat @ (min_dist_capacity @ c @ s @ ua) @ (size_s1990949619at_nat @ p1a))) = $true)),
% 4.81/1.09 inference(cnf_transformation,[],[f297])).
% 4.81/1.09 thf(f1878,definition,(
% 4.81/1.09 spl72_10 <=> (((ord_less_nat @ (min_dist_capacity @ c @ s @ t) @ (plus_plus_nat @ (size_s1990949619at_nat @ p1a) @ (size_s1990949619at_nat @ p2_a)))) = $true)),
% 4.81/1.09 introduced(definition,[new_symbols(definition,[spl72_10])],[avatar_definition])).
% 4.81/1.09 thf(f1881,plain,(
% 4.81/1.09 ~spl72_10),
% 4.81/1.09 inference(avatar_split_clause,[],[f1347,f1878])).
% 4.81/1.09 thf(f1910,definition,(
% 4.81/1.09 spl72_17 <=> (((ord_less_eq_nat @ (min_dist_capacity @ c @ ua @ t) @ (size_s1990949619at_nat @ p2_a))) = $true)),
% 4.81/1.09 introduced(definition,[new_symbols(definition,[spl72_17])],[avatar_definition])).
% 4.81/1.09 thf(f1912,plain,(
% 4.81/1.09 (((ord_less_eq_nat @ (min_dist_capacity @ c @ ua @ t) @ (size_s1990949619at_nat @ p2_a))) = $true) | ~spl72_17),
% 4.81/1.09 inference(avatar_component_clause,[],[f1910])).
% 4.81/1.09 thf(f1913,plain,(
% 4.81/1.09 spl72_17),
% 4.81/1.09 inference(avatar_split_clause,[],[f1458,f1910])).
% 4.81/1.09 thf(f1996,definition,(
% 4.81/1.09 spl72_34 <=> (((ord_less_nat @ (min_dist_capacity @ c @ s @ ua) @ (size_s1990949619at_nat @ p1a))) = $true)),
% 4.81/1.09 introduced(definition,[new_symbols(definition,[spl72_34])],[avatar_definition])).
% 4.81/1.09 thf(f1998,plain,(
% 4.81/1.09 (((ord_less_nat @ (min_dist_capacity @ c @ s @ ua) @ (size_s1990949619at_nat @ p1a))) = $true) | ~spl72_34),
% 4.81/1.09 inference(avatar_component_clause,[],[f1996])).
% 4.81/1.09 thf(f1999,plain,(
% 4.81/1.09 spl72_34),
% 4.81/1.09 inference(avatar_split_clause,[],[f1685,f1996])).
% 4.81/1.09 thf(f2001,definition,(
% 4.81/1.09 spl72_35 <=> (((min_dist_capacity @ c @ s @ t)) = ((plus_plus_nat @ (min_dist_capacity @ c @ s @ ua) @ (min_dist_capacity @ c @ ua @ t))))),
% 4.81/1.09 introduced(definition,[new_symbols(definition,[spl72_35])],[avatar_definition])).
% 4.81/1.09 thf(f2004,plain,(
% 4.81/1.09 spl72_35),
% 4.81/1.09 inference(avatar_split_clause,[],[f1534,f2001])).
% 4.81/1.09 thf(f3277,plain,(
% 4.81/1.09 ($true = ((ord_less_nat @ (plus_plus_nat @ (min_dist_capacity @ c @ s @ ua) @ (min_dist_capacity @ c @ ua @ t)) @ (plus_plus_nat @ (size_s1990949619at_nat @ p1a) @ (size_s1990949619at_nat @ p2_a))))) | (~spl72_17 | ~spl72_34)),
% 4.81/1.09 inference(unit_resulting_resolution,[],[f1314,f1912,f1998])).
% 4.81/1.09 thf(f3313,definition,(
% 4.81/1.09 spl72_121 <=> ($true = ((ord_less_nat @ (plus_plus_nat @ (min_dist_capacity @ c @ s @ ua) @ (min_dist_capacity @ c @ ua @ t)) @ (plus_plus_nat @ (size_s1990949619at_nat @ p1a) @ (size_s1990949619at_nat @ p2_a)))))),
% 4.81/1.09 introduced(definition,[new_symbols(definition,[spl72_121])],[avatar_definition])).
% 4.81/1.09 thf(f3316,plain,(
% 4.81/1.09 spl72_121 | ~spl72_17 | ~spl72_34),
% 4.81/1.09 inference(avatar_split_clause,[],[f3277,f1996,f1910,f3313])).
% 4.81/1.09 thf(f3332,definition,(
% 4.81/1.09 (((min_dist_capacity @ c @ s @ t)) != ((plus_plus_nat @ (min_dist_capacity @ c @ s @ ua) @ (min_dist_capacity @ c @ ua @ t)))) | ($true != ((ord_less_nat @ (plus_plus_nat @ (min_dist_capacity @ c @ s @ ua) @ (min_dist_capacity @ c @ ua @ t)) @ (plus_plus_nat @ (size_s1990949619at_nat @ p1a) @ (size_s1990949619at_nat @ p2_a))))) | (((ord_less_nat @ (min_dist_capacity @ c @ s @ t) @ (plus_plus_nat @ (size_s1990949619at_nat @ p1a) @ (size_s1990949619at_nat @ p2_a)))) = $true)),
% 4.81/1.09 introduced(theory,[theory_tautology_sat_conflict])).
% 4.81/1.09 cnf(s10, plain, ~spl72_10, inference(sat_conversion,[],[f1881])).
% 4.81/1.09 cnf(s16, plain, spl72_17, inference(sat_conversion,[],[f1913])).
% 4.81/1.09 cnf(s42, plain, spl72_34, inference(sat_conversion,[],[f1999])).
% 4.81/1.09 cnf(s43, plain, spl72_35, inference(sat_conversion,[],[f2004])).
% 4.81/1.09 cnf(s276, plain, ~spl72_17 | ~spl72_34 | spl72_121, inference(sat_conversion,[],[f3316])).
% 4.81/1.09 cnf(s284, plain, spl72_10 | ~spl72_35 | ~spl72_121, inference(sat_conversion,[],[f3332])).
% 4.81/1.09 cnf(s289, plain, spl72_121, inference(rat,[],[s276,s42,s16])).
% 4.81/1.09 cnf(s292, plain, spl72_10, inference(rat,[],[s284,s43,s289])).
% 4.81/1.09 cnf(s293, plain, $false, inference(rat,[],[s10,s292])).
% 4.81/1.09 thf(f3333,plain,(
% 4.81/1.09 $false),
% 4.81/1.09 inference(avatar_sat_refutation,[],[s293])).
% 4.81/1.09 % SZS output end Proof for theBenchmark
% 4.81/1.09 % (548514)------------------------------
% 4.81/1.09 % (548514)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.81/1.09 % (548514)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.81/1.09 % (548514)CaDiCaL version: 2.1.3
% 4.81/1.09 % (548514)Termination reason: Refutation
% 4.81/1.09 % (548514)Time elapsed: 0.216 s
% 4.81/1.09 % (548514)Peak memory usage: 15 MB
% 4.81/1.09 % (548514)Instructions burned: 246 (million)
% 4.81/1.09 % (548421)Success in time 0.727 s
% 4.81/1.09 % Vampire exiting
%------------------------------------------------------------------------------