%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP050^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:08:07 AM UTC 2026
% Result : Theorem 2.47s 0.74s
% Output : Refutation 2.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP050^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.17 % Computer : n016.cluster.edu
% 0.07/0.17 % Model : x86_64 x86_64
% 0.07/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.17 % Memory : 8046.5625MB
% 0.07/0.17 % OS : Linux 6.8.0-71-generic
% 0.07/0.17 % CPULimit : 300
% 0.07/0.17 % WCLimit : 300
% 0.07/0.17 % DateTime : Tue Sep 29 19:48:19 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.21 Running higher-order theorem proving
% 0.21/0.26 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.57/0.41 % (818402)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.57/0.41 % (818411)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3014589810:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.57/0.41 % (818413)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.57/0.41 % (818413)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
% 0.57/0.41 % (818411)Instruction limit reached!
% 0.57/0.41 % (818411)------------------------------
% 0.57/0.41 % (818411)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.57/0.41 % (818411)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.57/0.41 % (818411)CaDiCaL version: 2.1.3
% 0.57/0.41 % (818411)Termination reason: Instruction limit
% 0.57/0.41 % (818411)Termination phase: Property scanning
% 0.57/0.41 % (818411)Time elapsed: 0.006 s
% 0.57/0.41 % (818411)Peak memory usage: 10 MB
% 0.57/0.41 % (818411)Instructions burned: 25 (million)
% 0.57/0.41 % (818407)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3702230511:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.57/0.41 % (818408)lrs+10_16_si=on:nwc=1.5:random_seed=728098965:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.57/0.41 % (818409)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2445334273:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.57/0.41 % (818410)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=3217187010: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)
% 0.57/0.41 % (818412)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3528798918:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.57/0.41 % (818413)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=2960835052:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.57/0.41 % (818409)Instruction limit reached!
% 0.57/0.41 % (818409)------------------------------
% 0.57/0.41 % (818409)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.57/0.41 % (818409)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.57/0.41 % (818409)CaDiCaL version: 2.1.3
% 0.57/0.41 % (818409)Termination reason: Instruction limit
% 0.57/0.41 % (818409)Termination phase: shuffling
% 0.57/0.41 % (818409)Time elapsed: 0.002 s
% 0.57/0.41 % (818409)Peak memory usage: 10 MB
% 0.57/0.41 % (818409)Instructions burned: 3 (million)
% 0.57/0.41 % (818408)Instruction limit reached!
% 0.57/0.41 % (818408)------------------------------
% 0.57/0.41 % (818408)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.57/0.41 % (818408)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.57/0.41 % (818408)CaDiCaL version: 2.1.3
% 0.57/0.41 % (818408)Termination reason: Instruction limit
% 0.57/0.41 % (818408)Termination phase: shuffling
% 0.57/0.41 % (818408)Time elapsed: 0.009 s
% 0.57/0.41 % (818408)Peak memory usage: 10 MB
% 0.57/0.41 % (818408)Instructions burned: 20 (million)
% 0.57/0.41 % (818415)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3591279888:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.57/0.41 % (818415)Instruction limit reached!
% 0.57/0.41 % (818415)------------------------------
% 0.57/0.41 % (818415)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.57/0.41 % (818415)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.57/0.41 % (818415)CaDiCaL version: 2.1.3
% 0.57/0.41 % (818415)Termination reason: Instruction limit
% 0.57/0.41 % (818415)Termination phase: shuffling
% 0.57/0.41 % (818415)Time elapsed: 0.003 s
% 0.57/0.41 % (818415)Peak memory usage: 10 MB
% 0.57/0.41 % (818415)Instructions burned: 13 (million)
% 0.57/0.41 % (818422)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1865688963:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.57/0.41 % (818425)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=2284468250:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.57/0.44 % (818424)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.57/0.44 % (818422)Instruction limit reached!
% 0.57/0.44 % (818422)------------------------------
% 0.57/0.44 % (818422)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.57/0.44 % (818422)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.57/0.44 % (818422)CaDiCaL version: 2.1.3
% 0.57/0.44 % (818422)Termination reason: Instruction limit
% 0.57/0.44 % (818422)Termination phase: shuffling
% 0.57/0.44 % (818422)Time elapsed: 0.003 s
% 0.57/0.44 % (818422)Peak memory usage: 10 MB
% 0.57/0.44 % (818422)Instructions burned: 7 (million)
% 0.57/0.44 % (818425)Instruction limit reached!
% 0.57/0.44 % (818425)------------------------------
% 0.57/0.44 % (818425)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.57/0.44 % (818425)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.57/0.44 % (818425)CaDiCaL version: 2.1.3
% 0.57/0.44 % (818425)Termination reason: Instruction limit
% 0.57/0.44 % (818425)Termination phase: shuffling
% 0.57/0.44 % (818425)Time elapsed: 0.003 s
% 0.57/0.44 % (818425)Peak memory usage: 10 MB
% 0.57/0.44 % (818425)Instructions burned: 15 (million)
% 0.57/0.44 % (818424)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=600120994:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.57/0.44 % (818424)Instruction limit reached!
% 0.57/0.44 % (818424)------------------------------
% 0.57/0.44 % (818424)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.57/0.44 % (818424)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.57/0.44 % (818424)CaDiCaL version: 2.1.3
% 0.57/0.44 % (818424)Termination reason: Instruction limit
% 0.57/0.44 % (818424)Termination phase: shuffling
% 0.57/0.44 % (818424)Time elapsed: 0.006 s
% 0.57/0.44 % (818424)Peak memory usage: 10 MB
% 0.57/0.44 % (818424)Instructions burned: 13 (million)
% 0.57/0.44 % (818412)Instruction limit reached!
% 0.57/0.44 % (818412)------------------------------
% 0.57/0.44 % (818412)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.57/0.44 % (818412)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.57/0.44 % (818412)CaDiCaL version: 2.1.3
% 0.57/0.44 % (818412)Termination reason: Instruction limit
% 0.57/0.44 % (818412)Termination phase: Property scanning
% 0.57/0.44 % (818412)Time elapsed: 0.035 s
% 0.57/0.44 % (818412)Peak memory usage: 12 MB
% 0.57/0.44 % (818412)Instructions burned: 76 (million)
% 0.57/0.44 % (818430)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=1466043269:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.57/0.44 % (818428)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
% 0.57/0.44 % (818428)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.57/0.44 % (818428)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3887378539:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.57/0.44 % (818432)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.57/0.44 % (818431)lrs+10_1_si=on:cs=on:random_seed=197821924:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.57/0.44 % (818432)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=706951016:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.57/0.44 % (818432)Instruction limit reached!
% 0.57/0.44 % (818432)------------------------------
% 0.57/0.44 % (818432)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.57/0.44 % (818432)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.57/0.44 % (818432)CaDiCaL version: 2.1.3
% 0.57/0.48 % (818432)Termination reason: Instruction limit
% 0.57/0.48 % (818432)Termination phase: shuffling
% 0.57/0.48 % (818432)Time elapsed: 0.002 s
% 0.57/0.48 % (818432)Peak memory usage: 10 MB
% 0.57/0.48 % (818432)Instructions burned: 4 (million)
% 0.57/0.48 % (818431)Instruction limit reached!
% 0.57/0.48 % (818431)------------------------------
% 0.57/0.48 % (818431)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.57/0.48 % (818431)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.57/0.48 % (818431)CaDiCaL version: 2.1.3
% 0.57/0.48 % (818431)Termination reason: Instruction limit
% 0.57/0.48 % (818431)Termination phase: shuffling
% 0.57/0.48 % (818431)Time elapsed: 0.004 s
% 0.57/0.48 % (818431)Peak memory usage: 10 MB
% 0.57/0.48 % (818431)Instructions burned: 9 (million)
% 0.57/0.48 % (818428)Instruction limit reached!
% 0.57/0.48 % (818428)------------------------------
% 0.57/0.48 % (818428)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.57/0.48 % (818428)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.57/0.48 % (818428)CaDiCaL version: 2.1.3
% 0.57/0.48 % (818428)Termination reason: Instruction limit
% 0.57/0.48 % (818428)Termination phase: shuffling
% 0.57/0.48 % (818428)Time elapsed: 0.012 s
% 0.57/0.48 % (818428)Peak memory usage: 10 MB
% 0.57/0.48 % (818428)Instructions burned: 28 (million)
% 0.57/0.48 % (818430)Instruction limit reached!
% 0.57/0.48 % (818430)------------------------------
% 0.57/0.48 % (818430)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.57/0.48 % (818430)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.57/0.48 % (818430)CaDiCaL version: 2.1.3
% 0.57/0.48 % (818430)Termination reason: Instruction limit
% 0.57/0.48 % (818430)Termination phase: Property scanning
% 0.57/0.48 % (818430)Time elapsed: 0.020 s
% 0.57/0.48 % (818430)Peak memory usage: 11 MB
% 0.57/0.48 % (818430)Instructions burned: 91 (million)
% 0.57/0.48 % (818413)Instruction limit reached!
% 0.57/0.48 % (818413)------------------------------
% 0.57/0.48 % (818413)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.57/0.48 % (818413)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.57/0.48 % (818413)CaDiCaL version: 2.1.3
% 0.57/0.48 % (818413)Termination reason: Instruction limit
% 0.57/0.48 % (818413)Termination phase: Saturation
% 0.57/0.48 % (818413)Time elapsed: 0.068 s
% 0.57/0.48 % (818413)Peak memory usage: 14 MB
% 0.57/0.48 % (818413)Instructions burned: 159 (million)
% 0.57/0.48 % (818407)Instruction limit reached!
% 0.57/0.48 % (818407)------------------------------
% 0.57/0.48 % (818407)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.57/0.48 % (818407)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.57/0.48 % (818407)CaDiCaL version: 2.1.3
% 0.57/0.48 % (818407)Termination reason: Instruction limit
% 0.57/0.48 % (818407)Termination phase: Function definition elimination
% 0.57/0.48 % (818407)Time elapsed: 0.071 s
% 0.57/0.48 % (818407)Peak memory usage: 12 MB
% 0.57/0.48 % (818407)Instructions burned: 88 (million)
% 0.57/0.48 % (818437)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=4174271179:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 0.57/0.48 % (818438)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=894011361:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 0.57/0.48 % (818439)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=352815649:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.57/0.48 % (818440)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=2281420304:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.57/0.48 % (818442)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=1044654500:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 0.57/0.48 % (818442)Instruction limit reached!
% 0.57/0.48 % (818442)------------------------------
% 0.57/0.48 % (818442)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.57/0.48 % (818442)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.57/0.48 % (818442)CaDiCaL version: 2.1.3
% 0.57/0.48 % (818442)Termination reason: Instruction limit
% 0.57/0.48 % (818442)Termination phase: shuffling
% 1.43/0.54 % (818442)Time elapsed: 0.004 s
% 1.43/0.54 % (818442)Peak memory usage: 10 MB
% 1.43/0.54 % (818442)Instructions burned: 17 (million)
% 1.43/0.54 % (818440)Instruction limit reached!
% 1.43/0.54 % (818440)------------------------------
% 1.43/0.54 % (818440)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.43/0.54 % (818440)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.43/0.54 % (818440)CaDiCaL version: 2.1.3
% 1.43/0.54 % (818440)Termination reason: Instruction limit
% 1.43/0.54 % (818440)Termination phase: shuffling
% 1.43/0.54 % (818440)Time elapsed: 0.006 s
% 1.43/0.54 % (818440)Peak memory usage: 10 MB
% 1.43/0.54 % (818440)Instructions burned: 14 (million)
% 1.43/0.54 % (818441)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2071856434:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.43/0.54 % (818439)Instruction limit reached!
% 1.43/0.54 % (818439)------------------------------
% 1.43/0.54 % (818439)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.43/0.54 % (818439)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.43/0.54 % (818439)CaDiCaL version: 2.1.3
% 1.43/0.54 % (818439)Termination reason: Instruction limit
% 1.43/0.54 % (818439)Termination phase: Property scanning
% 1.43/0.54 % (818439)Time elapsed: 0.011 s
% 1.43/0.54 % (818439)Peak memory usage: 10 MB
% 1.43/0.54 % (818439)Instructions burned: 25 (million)
% 1.43/0.54 % (818437)Instruction limit reached!
% 1.43/0.54 % (818437)------------------------------
% 1.43/0.54 % (818437)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.43/0.54 % (818437)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.43/0.54 % (818437)CaDiCaL version: 2.1.3
% 1.43/0.54 % (818437)Termination reason: Instruction limit
% 1.43/0.54 % (818437)Termination phase: SInE selection
% 1.43/0.54 % (818437)Time elapsed: 0.017 s
% 1.43/0.54 % (818437)Peak memory usage: 11 MB
% 1.43/0.54 % (818437)Instructions burned: 39 (million)
% 1.43/0.54 % (818448)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=3787242929: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)
% 1.43/0.54 % (818448)Instruction limit reached!
% 1.43/0.54 % (818448)------------------------------
% 1.43/0.54 % (818448)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.43/0.54 % (818448)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.43/0.54 % (818448)CaDiCaL version: 2.1.3
% 1.43/0.54 % (818448)Termination reason: Instruction limit
% 1.43/0.54 % (818448)Termination phase: shuffling
% 1.43/0.54 % (818448)Time elapsed: 0.001 s
% 1.43/0.54 % (818448)Peak memory usage: 10 MB
% 1.43/0.54 % (818448)Instructions burned: 7 (million)
% 1.43/0.54 % (818449)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2507228544:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.43/0.54 % (818454)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
% 1.43/0.54 % (818454)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.43/0.54 % (818454)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=4080646596:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.43/0.54 % (818451)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=3367364075:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.43/0.54 % (818454)Instruction limit reached!
% 1.43/0.54 % (818454)------------------------------
% 1.43/0.54 % (818454)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.43/0.54 % (818454)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.43/0.54 % (818454)CaDiCaL version: 2.1.3
% 1.43/0.54 % (818454)Termination reason: Instruction limit
% 1.43/0.54 % (818454)Termination phase: shuffling
% 1.43/0.54 % (818454)Time elapsed: 0.004 s
% 1.43/0.54 % (818454)Peak memory usage: 10 MB
% 1.43/0.54 % (818454)Instructions burned: 16 (million)
% 1.43/0.54 % (818449)Instruction limit reached!
% 1.43/0.54 % (818449)------------------------------
% 1.43/0.54 % (818449)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.43/0.58 % (818449)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.43/0.58 % (818449)CaDiCaL version: 2.1.3
% 1.43/0.58 % (818449)Termination reason: Instruction limit
% 1.43/0.58 % (818449)Termination phase: shuffling
% 1.43/0.58 % (818449)Time elapsed: 0.012 s
% 1.43/0.58 % (818449)Peak memory usage: 10 MB
% 1.43/0.58 % (818449)Instructions burned: 28 (million)
% 1.43/0.58 % (818452)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=191889389:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.43/0.58 % (818451)Instruction limit reached!
% 1.43/0.58 % (818451)------------------------------
% 1.43/0.58 % (818451)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.43/0.58 % (818451)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.43/0.58 % (818451)CaDiCaL version: 2.1.3
% 1.43/0.58 % (818451)Termination reason: Instruction limit
% 1.43/0.58 % (818451)Termination phase: Property scanning
% 1.43/0.58 % (818451)Time elapsed: 0.010 s
% 1.43/0.58 % (818451)Peak memory usage: 10 MB
% 1.43/0.58 % (818451)Instructions burned: 24 (million)
% 1.43/0.58 % (818458)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.43/0.58 % (818458)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=1963450522:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.43/0.58 % (818458)Instruction limit reached!
% 1.43/0.58 % (818458)------------------------------
% 1.43/0.58 % (818458)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.43/0.58 % (818458)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.43/0.58 % (818458)CaDiCaL version: 2.1.3
% 1.43/0.58 % (818458)Termination reason: Instruction limit
% 1.43/0.58 % (818458)Termination phase: shuffling
% 1.43/0.58 % (818458)Time elapsed: 0.002 s
% 1.43/0.58 % (818458)Peak memory usage: 10 MB
% 1.43/0.58 % (818458)Instructions burned: 9 (million)
% 1.43/0.58 % (818463)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=1478594600:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.43/0.58 % (818459)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=645043085:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.43/0.58 % (818461)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=2113508894:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 1.43/0.58 % (818463)Instruction limit reached!
% 1.43/0.58 % (818463)------------------------------
% 1.43/0.58 % (818463)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.43/0.58 % (818463)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.43/0.58 % (818463)CaDiCaL version: 2.1.3
% 1.43/0.58 % (818463)Termination reason: Instruction limit
% 1.43/0.58 % (818463)Termination phase: shuffling
% 1.43/0.58 % (818463)Time elapsed: 0.006 s
% 1.43/0.58 % (818463)Peak memory usage: 10 MB
% 1.43/0.58 % (818463)Instructions burned: 25 (million)
% 1.43/0.58 % (818461)Instruction limit reached!
% 1.43/0.58 % (818461)------------------------------
% 1.43/0.58 % (818461)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.43/0.58 % (818461)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.43/0.58 % (818461)CaDiCaL version: 2.1.3
% 1.43/0.58 % (818461)Termination reason: Instruction limit
% 1.43/0.58 % (818461)Termination phase: shuffling
% 1.43/0.58 % (818461)Time elapsed: 0.004 s
% 1.43/0.58 % (818461)Peak memory usage: 10 MB
% 1.43/0.58 % (818461)Instructions burned: 9 (million)
% 1.43/0.58 % (818459)Instruction limit reached!
% 1.43/0.58 % (818459)------------------------------
% 1.43/0.58 % (818459)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.43/0.58 % (818459)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.43/0.58 % (818459)CaDiCaL version: 2.1.3
% 1.43/0.58 % (818459)Termination reason: Instruction limit
% 1.43/0.58 % (818459)Termination phase: shuffling
% 1.43/0.58 % (818459)Time elapsed: 0.014 s
% 1.43/0.58 % (818459)Peak memory usage: 10 MB
% 1.43/0.58 % (818459)Instructions burned: 32 (million)
% 1.43/0.58 % (818467)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=4236408158:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 2.39/0.68 % (818467)Instruction limit reached!
% 2.39/0.68 % (818467)------------------------------
% 2.39/0.68 % (818467)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.39/0.68 % (818467)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.39/0.68 % (818467)CaDiCaL version: 2.1.3
% 2.39/0.68 % (818467)Termination reason: Instruction limit
% 2.39/0.68 % (818467)Termination phase: shuffling
% 2.39/0.68 % (818467)Time elapsed: 0.005 s
% 2.39/0.68 % (818467)Peak memory usage: 10 MB
% 2.39/0.68 % (818467)Instructions burned: 22 (million)
% 2.39/0.68 % (818468)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=3377906833:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 2.39/0.68 % (818471)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=3387596080:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 2.39/0.68 % (818470)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=1788829662:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/143Mi)
% 2.39/0.68 % (818452)Instruction limit reached!
% 2.39/0.68 % (818452)------------------------------
% 2.39/0.68 % (818452)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.39/0.68 % (818452)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.39/0.68 % (818452)CaDiCaL version: 2.1.3
% 2.39/0.68 % (818452)Termination reason: Instruction limit
% 2.39/0.68 % (818452)Termination phase: Property scanning
% 2.39/0.68 % (818452)Time elapsed: 0.051 s
% 2.39/0.68 % (818452)Peak memory usage: 12 MB
% 2.39/0.68 % (818452)Instructions burned: 62 (million)
% 2.39/0.68 % (818438)Instruction limit reached!
% 2.39/0.68 % (818438)------------------------------
% 2.39/0.68 % (818438)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.39/0.68 % (818438)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.39/0.68 % (818438)CaDiCaL version: 2.1.3
% 2.39/0.68 % (818438)Termination reason: Instruction limit
% 2.39/0.68 % (818438)Termination phase: Saturation
% 2.39/0.68 % (818438)Time elapsed: 0.103 s
% 2.39/0.68 % (818438)Peak memory usage: 13 MB
% 2.39/0.68 % (818438)Instructions burned: 251 (million)
% 2.39/0.68 % (818475)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2604675076:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 2.39/0.68 % (818476)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.39/0.68 % (818476)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=596156465:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 2.39/0.68 % (818476)Instruction limit reached!
% 2.39/0.68 % (818476)------------------------------
% 2.39/0.68 % (818476)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.39/0.68 % (818476)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.39/0.68 % (818476)CaDiCaL version: 2.1.3
% 2.39/0.68 % (818476)Termination reason: Instruction limit
% 2.39/0.68 % (818476)Termination phase: shuffling
% 2.39/0.68 % (818476)Time elapsed: 0.004 s
% 2.39/0.68 % (818476)Peak memory usage: 10 MB
% 2.39/0.68 % (818476)Instructions burned: 9 (million)
% 2.39/0.68 % (818475)Instruction limit reached!
% 2.39/0.68 % (818475)------------------------------
% 2.39/0.68 % (818475)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.39/0.68 % (818475)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.39/0.68 % (818475)CaDiCaL version: 2.1.3
% 2.39/0.68 % (818475)Termination reason: Instruction limit
% 2.39/0.68 % (818475)Termination phase: Preprocessing 3
% 2.39/0.68 % (818475)Time elapsed: 0.019 s
% 2.39/0.68 % (818475)Peak memory usage: 11 MB
% 2.39/0.68 % (818475)Instructions burned: 43 (million)
% 2.39/0.68 % (818471)Instruction limit reached!
% 2.39/0.68 % (818471)------------------------------
% 2.39/0.68 % (818471)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.39/0.68 % (818471)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.39/0.68 % (818471)CaDiCaL version: 2.1.3
% 2.39/0.68 % (818471)Termination reason: Instruction limit
% 2.39/0.68 % (818471)Termination phase: Saturation
% 2.39/0.68 % (818471)Time elapsed: 0.046 s
% 2.47/0.74 % (818471)Peak memory usage: 14 MB
% 2.47/0.74 % (818471)Instructions burned: 193 (million)
% 2.47/0.74 % (818481)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.47/0.74 % (818481)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=2092379648:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 2.47/0.74 % (818479)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=314910213:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 2.47/0.74 % (818481)Instruction limit reached!
% 2.47/0.74 % (818481)------------------------------
% 2.47/0.74 % (818481)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.47/0.74 % (818481)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/0.74 % (818481)CaDiCaL version: 2.1.3
% 2.47/0.74 % (818481)Termination reason: Instruction limit
% 2.47/0.74 % (818481)Termination phase: shuffling
% 2.47/0.74 % (818481)Time elapsed: 0.002 s
% 2.47/0.74 % (818481)Peak memory usage: 10 MB
% 2.47/0.74 % (818481)Instructions burned: 7 (million)
% 2.47/0.74 % (818480)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=3358730966:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2997 on theBenchmark for (2997ds/169Mi)
% 2.47/0.74 % (818470)Instruction limit reached!
% 2.47/0.74 % (818470)------------------------------
% 2.47/0.74 % (818470)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.47/0.74 % (818470)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/0.74 % (818470)CaDiCaL version: 2.1.3
% 2.47/0.74 % (818470)Termination reason: Instruction limit
% 2.47/0.74 % (818470)Termination phase: Saturation
% 2.47/0.74 % (818470)Time elapsed: 0.061 s
% 2.47/0.74 % (818470)Peak memory usage: 13 MB
% 2.47/0.74 % (818470)Instructions burned: 145 (million)
% 2.47/0.74 % (818485)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=3820752342:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2997 on theBenchmark for (2997ds/22Mi)
% 2.47/0.74 % (818441)Instruction limit reached!
% 2.47/0.74 % (818441)------------------------------
% 2.47/0.74 % (818441)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.47/0.74 % (818441)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/0.74 % (818441)CaDiCaL version: 2.1.3
% 2.47/0.74 % (818441)Termination reason: Instruction limit
% 2.47/0.74 % (818441)Termination phase: Saturation
% 2.47/0.74 % (818441)Time elapsed: 0.154 s
% 2.47/0.74 % (818441)Peak memory usage: 15 MB
% 2.47/0.74 % (818441)Instructions burned: 327 (million)
% 2.47/0.74 % (818485)Instruction limit reached!
% 2.47/0.74 % (818485)------------------------------
% 2.47/0.74 % (818485)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.47/0.74 % (818485)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/0.74 % (818485)CaDiCaL version: 2.1.3
% 2.47/0.74 % (818485)Termination reason: Instruction limit
% 2.47/0.74 % (818485)Termination phase: Property scanning
% 2.47/0.74 % (818485)Time elapsed: 0.005 s
% 2.47/0.74 % (818485)Peak memory usage: 10 MB
% 2.47/0.74 % (818485)Instructions burned: 25 (million)
% 2.47/0.74 % (818487)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=3165563176:i=19:add=on:rtra=on_2997 on theBenchmark for (2997ds/19Mi)
% 2.47/0.74 % (818490)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=2166728928: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)
% 2.47/0.74 % (818487)Instruction limit reached!
% 2.47/0.74 % (818487)------------------------------
% 2.47/0.74 % (818487)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.47/0.74 % (818487)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/0.74 % (818487)CaDiCaL version: 2.1.3
% 2.47/0.74 % (818487)Termination reason: Instruction limit
% 2.47/0.74 % (818487)Termination phase: shuffling
% 2.47/0.74 % (818487)Time elapsed: 0.009 s
% 2.47/0.74 % (818487)Peak memory usage: 10 MB
% 2.47/0.74 % (818487)Instructions burned: 20 (million)
% 2.47/0.74 % (818489)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=3201057186:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/316Mi)
% 2.47/0.74 % (818410)Instruction limit reached!
% 2.47/0.74 % (818410)------------------------------
% 2.47/0.74 % (818410)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.47/0.74 % (818410)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/0.74 % (818410)CaDiCaL version: 2.1.3
% 2.47/0.74 % (818410)Termination reason: Instruction limit
% 2.47/0.74 % (818410)Termination phase: Saturation
% 2.47/0.74 % (818410)Time elapsed: 0.262 s
% 2.47/0.74 % (818410)Peak memory usage: 15 MB
% 2.47/0.74 % (818410)Instructions burned: 635 (million)
% 2.47/0.74 % (818493)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=3480801159:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2996 on theBenchmark for (2996ds/45Mi)
% 2.47/0.74 % (818495)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=1466452850:i=480:rtra=on_2996 on theBenchmark for (2996ds/480Mi)
% 2.47/0.74 % (818493)Instruction limit reached!
% 2.47/0.74 % (818493)------------------------------
% 2.47/0.74 % (818493)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.47/0.74 % (818493)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/0.74 % (818493)CaDiCaL version: 2.1.3
% 2.47/0.74 % (818493)Termination reason: Instruction limit
% 2.47/0.74 % (818493)Termination phase: Property scanning
% 2.47/0.74 % (818493)Time elapsed: 0.020 s
% 2.47/0.74 % (818493)Peak memory usage: 10 MB
% 2.47/0.74 % (818493)Instructions burned: 47 (million)
% 2.47/0.74 % (818479)Instruction limit reached!
% 2.47/0.74 % (818479)------------------------------
% 2.47/0.74 % (818479)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.47/0.74 % (818479)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/0.74 % (818479)CaDiCaL version: 2.1.3
% 2.47/0.74 % (818479)Termination reason: Instruction limit
% 2.47/0.74 % (818479)Termination phase: Saturation
% 2.47/0.74 % (818479)Time elapsed: 0.093 s
% 2.47/0.74 % (818479)Peak memory usage: 14 MB
% 2.47/0.74 % (818479)Instructions burned: 182 (million)
% 2.47/0.74 % (818498)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=180654761:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2996 on theBenchmark for (2996ds/21Mi)
% 2.47/0.74 % (818498)Instruction limit reached!
% 2.47/0.74 % (818498)------------------------------
% 2.47/0.74 % (818498)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.47/0.74 % (818498)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/0.74 % (818498)CaDiCaL version: 2.1.3
% 2.47/0.74 % (818498)Termination reason: Instruction limit
% 2.47/0.74 % (818498)Termination phase: shuffling
% 2.47/0.74 % (818498)Time elapsed: 0.010 s
% 2.47/0.74 % (818498)Peak memory usage: 10 MB
% 2.47/0.74 % (818498)Instructions burned: 22 (million)
% 2.47/0.74 % (818500)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 2.47/0.74 % (818500)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=806687798:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/200Mi)
% 2.47/0.74 % (818501)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3122628244:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2996 on theBenchmark for (2996ds/13Mi)
% 2.47/0.74 % (818501)Instruction limit reached!
% 2.47/0.74 % (818501)------------------------------
% 2.47/0.74 % (818501)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.47/0.74 % (818501)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/0.74 % (818501)CaDiCaL version: 2.1.3
% 2.47/0.74 % (818501)Termination reason: Instruction limit
% 2.47/0.74 % (818501)Termination phase: shuffling
% 2.47/0.74 % (818501)Time elapsed: 0.006 s
% 2.47/0.74 % (818501)Peak memory usage: 10 MB
% 2.47/0.74 % (818501)Instructions burned: 14 (million)
% 2.47/0.74 % (818480)Refutation not found, incomplete strategy
% 2.47/0.74 % (818480)------------------------------
% 2.47/0.74 % (818480)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.47/0.74 % (818480)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/0.74 % (818480)CaDiCaL version: 2.1.3
% 2.47/0.74 % (818480)Termination reason: Refutation not found, incomplete strategy
% 2.47/0.74 % (818480)Time elapsed: 0.129 s
% 2.47/0.74 % (818480)Peak memory usage: 14 MB
% 2.47/0.74 % (818480)Instructions burned: 164 (million)
% 2.47/0.74 % (818480)------------------------------
% 2.47/0.74 % (818480)------------------------------
% 2.47/0.74 % (818504)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=3593229726:i=66:s2at=3:nm=2:rtra=on:rawr=on_2995 on theBenchmark for (2995ds/66Mi)
% 2.47/0.74 % (818505)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=2376964892:i=51:fsr=off:rtra=on_2995 on theBenchmark for (2995ds/51Mi)
% 2.47/0.74 % (818505)Instruction limit reached!
% 2.47/0.74 % (818505)------------------------------
% 2.47/0.74 % (818505)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.47/0.74 % (818505)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/0.74 % (818505)CaDiCaL version: 2.1.3
% 2.47/0.74 % (818505)Termination reason: Instruction limit
% 2.47/0.74 % (818505)Termination phase: Preprocessing 3
% 2.47/0.74 % (818505)Time elapsed: 0.022 s
% 2.47/0.74 % (818505)Peak memory usage: 11 MB
% 2.47/0.74 % (818505)Instructions burned: 51 (million)
% 2.47/0.74 % (818504)Instruction limit reached!
% 2.47/0.74 % (818504)------------------------------
% 2.47/0.74 % (818504)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.47/0.74 % (818504)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/0.74 % (818504)CaDiCaL version: 2.1.3
% 2.47/0.74 % (818504)Termination reason: Instruction limit
% 2.47/0.74 % (818504)Termination phase: Property scanning
% 2.47/0.74 % (818504)Time elapsed: 0.029 s
% 2.47/0.74 % (818504)Peak memory usage: 11 MB
% 2.47/0.74 % (818504)Instructions burned: 68 (million)
% 2.47/0.74 % (818490) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-818402-818490"...
% 2.47/0.74 % (818490)...printing done.
% 2.47/0.74 % (818490)Refutation found. Thanks to Tanya!
% 2.47/0.74 % SZS status Theorem for theBenchmark
% 2.47/0.74 % SZS output start Proof for theBenchmark
% 2.47/0.74 thf(type_def_5, type, set_se1612935105at_nat: $tType).
% 2.47/0.74 thf(type_def_6, type, list_P559422087at_nat: $tType).
% 2.47/0.74 thf(type_def_7, type, set_Pr1986765409at_nat: $tType).
% 2.47/0.74 thf(type_def_8, type, product_prod_nat_nat: $tType).
% 2.47/0.74 thf(type_def_9, type, set_set_nat: $tType).
% 2.47/0.74 thf(type_def_10, type, list_nat: $tType).
% 2.47/0.74 thf(type_def_11, type, set_nat: $tType).
% 2.47/0.74 thf(type_def_12, type, nat: $tType).
% 2.47/0.74 thf(type_def_13, type, a: $tType).
% 2.47/0.74 thf(type_def_14, type, sTfun: ($tType * $tType) > $tType).
% 2.47/0.74 thf(func_def_0, type, edmond1517640972ysis_a: ((product_prod_nat_nat > a) > $o)).
% 2.47/0.74 thf(func_def_1, type, edmond475474835dges_a: ((product_prod_nat_nat > a) > nat > nat > set_Pr1986765409at_nat)).
% 2.47/0.74 thf(func_def_2, type, edmond771116670s_uE_a: ((product_prod_nat_nat > a) > set_Pr1986765409at_nat)).
% 2.47/0.74 thf(func_def_3, type, finite_card_nat: (set_nat > nat)).
% 2.47/0.74 thf(func_def_4, type, finite447719721at_nat: (set_Pr1986765409at_nat > nat)).
% 2.47/0.74 thf(func_def_5, type, finite_finite_nat: (set_nat > $o)).
% 2.47/0.74 thf(func_def_6, type, finite772653738at_nat: (set_Pr1986765409at_nat > $o)).
% 2.47/0.74 thf(func_def_7, type, finite2012248349et_nat: (set_set_nat > $o)).
% 2.47/0.74 thf(func_def_8, type, finite1457549322at_nat: (set_se1612935105at_nat > $o)).
% 2.47/0.74 thf(func_def_9, type, finite_Graph_a: ((product_prod_nat_nat > a) > $o)).
% 2.47/0.74 thf(func_def_10, type, e_a: ((product_prod_nat_nat > a) > set_Pr1986765409at_nat)).
% 2.47/0.74 thf(func_def_11, type, v_a: ((product_prod_nat_nat > a) > set_nat)).
% 2.47/0.74 thf(func_def_12, type, adjacent_nodes_a: ((product_prod_nat_nat > a) > nat > set_nat)).
% 2.47/0.74 thf(func_def_13, type, incoming_a: ((product_prod_nat_nat > a) > nat > set_Pr1986765409at_nat)).
% 2.47/0.74 thf(func_def_14, type, incoming_a2: ((product_prod_nat_nat > a) > set_nat > set_Pr1986765409at_nat)).
% 2.47/0.74 thf(func_def_15, type, isPath_a: ((product_prod_nat_nat > a) > nat > list_P559422087at_nat > nat > $o)).
% 2.47/0.74 thf(func_def_16, type, isShortestPath_a: ((product_prod_nat_nat > a) > nat > list_P559422087at_nat > nat > $o)).
% 2.47/0.74 thf(func_def_17, type, outgoing_a: ((product_prod_nat_nat > a) > nat > set_Pr1986765409at_nat)).
% 2.47/0.74 thf(func_def_18, type, outgoing_a2: ((product_prod_nat_nat > a) > set_nat > set_Pr1986765409at_nat)).
% 2.47/0.74 thf(func_def_19, type, pathVertices: (nat > list_P559422087at_nat > list_nat)).
% 2.47/0.74 thf(func_def_20, type, reachableNodes_a: ((product_prod_nat_nat > a) > nat > set_nat)).
% 2.47/0.74 thf(func_def_21, type, inf_inf_nat: (nat > nat > nat)).
% 2.47/0.74 thf(func_def_22, type, inf_inf_set_nat: (set_nat > set_nat > set_nat)).
% 2.47/0.74 thf(func_def_23, type, inf_in586391887at_nat: (set_Pr1986765409at_nat > set_Pr1986765409at_nat > set_Pr1986765409at_nat)).
% 2.47/0.74 thf(func_def_24, type, cons_nat: (nat > list_nat > list_nat)).
% 2.47/0.74 thf(func_def_25, type, cons_P66992567at_nat: (product_prod_nat_nat > list_P559422087at_nat > list_P559422087at_nat)).
% 2.47/0.74 thf(func_def_26, type, nil_Pr1308055047at_nat: list_P559422087at_nat).
% 2.47/0.74 thf(func_def_27, type, set_nat2: (list_nat > set_nat)).
% 2.47/0.74 thf(func_def_28, type, set_Pr2131844118at_nat: (list_P559422087at_nat > set_Pr1986765409at_nat)).
% 2.47/0.74 thf(func_def_29, type, size_s1990949619at_nat: (list_P559422087at_nat > nat)).
% 2.47/0.74 thf(func_def_30, type, ord_less_eq_nat: (nat > nat > $o)).
% 2.47/0.74 thf(func_def_31, type, ord_less_eq_set_nat: (set_nat > set_nat > $o)).
% 2.47/0.74 thf(func_def_32, type, ord_le841296385at_nat: (set_Pr1986765409at_nat > set_Pr1986765409at_nat > $o)).
% 2.47/0.74 thf(func_def_33, type, product_Pair_nat_nat: (nat > nat > product_prod_nat_nat)).
% 2.47/0.74 thf(func_def_34, type, collect_nat: ((nat > $o) > set_nat)).
% 2.47/0.74 thf(func_def_35, type, collec7649004at_nat: ((product_prod_nat_nat > $o) > set_Pr1986765409at_nat)).
% 2.47/0.74 thf(func_def_36, type, member_nat: (nat > set_nat > $o)).
% 2.47/0.74 thf(func_def_37, type, member701585322at_nat: (product_prod_nat_nat > set_Pr1986765409at_nat > $o)).
% 2.47/0.74 thf(func_def_38, type, member_set_nat: (set_nat > set_set_nat > $o)).
% 2.47/0.74 thf(func_def_39, type, member298845450at_nat: (set_Pr1986765409at_nat > set_se1612935105at_nat > $o)).
% 2.47/0.74 thf(func_def_40, type, c: (product_prod_nat_nat > a)).
% 2.47/0.74 thf(func_def_41, type, edges: set_Pr1986765409at_nat).
% 2.47/0.74 thf(func_def_42, type, p: list_P559422087at_nat).
% 2.47/0.74 thf(func_def_43, type, s: nat).
% 2.47/0.74 thf(func_def_44, type, t: nat).
% 2.47/0.74 thf(func_def_48, type, db1: !>[X0: $tType]:(X0)).
% 2.47/0.74 thf(func_def_49, type, db0: !>[X0: $tType]:(X0)).
% 2.47/0.74 thf(func_def_50, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 2.47/0.74 thf(func_def_51, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 2.47/0.74 thf(func_def_52, type, vAND: ($o > $o > $o)).
% 2.47/0.74 thf(func_def_53, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 2.47/0.74 thf(func_def_54, type, vIMP: ($o > $o > $o)).
% 2.47/0.74 thf(func_def_55, type, db2: !>[X0: $tType]:(X0)).
% 2.47/0.74 thf(func_def_56, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 2.47/0.74 thf(func_def_57, type, sK0: ((nat > set_nat) > nat)).
% 2.47/0.74 thf(func_def_58, type, sK1: ((nat > set_nat) > nat)).
% 2.47/0.74 thf(func_def_59, type, sK2: ((product_prod_nat_nat > $o) > (product_prod_nat_nat > $o) > set_Pr1986765409at_nat > product_prod_nat_nat)).
% 2.47/0.74 thf(func_def_60, type, sK3: (nat > list_P559422087at_nat > nat)).
% 2.47/0.74 thf(func_def_61, type, sK4: ((nat > $o) > (nat > $o) > nat)).
% 2.47/0.74 thf(func_def_62, type, sK5: ((nat > list_P559422087at_nat > nat > $o) > nat)).
% 2.47/0.74 thf(func_def_63, type, sK6: ((nat > list_P559422087at_nat > nat > $o) > list_P559422087at_nat)).
% 2.47/0.74 thf(func_def_64, type, sK7: ((nat > list_P559422087at_nat > nat > $o) > nat)).
% 2.47/0.74 thf(func_def_65, type, sK8: ((nat > list_P559422087at_nat > nat > $o) > nat)).
% 2.47/0.74 thf(func_def_66, type, sK9: ((nat > list_P559422087at_nat > nat > $o) > nat)).
% 2.47/0.74 thf(func_def_67, type, sK10: ((nat > list_P559422087at_nat > nat > $o) > nat)).
% 2.47/0.74 thf(func_def_68, type, sK11: ((nat > list_P559422087at_nat > nat > $o) > nat)).
% 2.47/0.74 thf(func_def_69, type, sK12: (nat > list_nat > nat)).
% 2.47/0.74 thf(func_def_70, type, sK13: (nat > list_nat > list_nat)).
% 2.47/0.74 thf(func_def_71, type, sK14: (nat > list_nat > list_nat)).
% 2.47/0.74 thf(func_def_72, type, sK15: ((set_Pr1986765409at_nat > nat) > set_Pr1986765409at_nat)).
% 2.47/0.74 thf(func_def_73, type, sK16: ((set_Pr1986765409at_nat > nat) > set_Pr1986765409at_nat)).
% 2.47/0.74 thf(func_def_74, type, sK17: ((nat > nat) > nat)).
% 2.47/0.74 thf(func_def_75, type, sK18: ((nat > nat) > nat)).
% 2.47/0.74 thf(func_def_76, type, sK19: ((set_Pr1986765409at_nat > nat) > set_Pr1986765409at_nat)).
% 2.47/0.74 thf(func_def_77, type, sK20: ((set_Pr1986765409at_nat > nat) > set_Pr1986765409at_nat)).
% 2.47/0.74 thf(func_def_78, type, sK21: ((nat > nat) > nat)).
% 2.47/0.74 thf(func_def_79, type, sK22: ((nat > nat) > nat)).
% 2.47/0.74 thf(func_def_80, type, sK23: ((set_Pr1986765409at_nat > set_nat) > set_Pr1986765409at_nat)).
% 2.47/0.74 thf(func_def_81, type, sK24: ((set_Pr1986765409at_nat > set_nat) > set_Pr1986765409at_nat)).
% 2.47/0.74 thf(func_def_82, type, sK25: (nat > list_P559422087at_nat > nat > nat)).
% 2.47/0.74 thf(func_def_83, type, sK26: (nat > list_P559422087at_nat > nat > nat)).
% 2.47/0.74 thf(func_def_84, type, sK27: (nat > list_P559422087at_nat > nat > list_P559422087at_nat)).
% 2.47/0.74 thf(func_def_85, type, sK28: (nat > list_P559422087at_nat > nat > nat)).
% 2.47/0.74 thf(func_def_86, type, sK29: (nat > list_P559422087at_nat > nat > list_P559422087at_nat)).
% 2.47/0.74 thf(func_def_87, type, sK30: ((set_Pr1986765409at_nat > set_Pr1986765409at_nat) > set_Pr1986765409at_nat)).
% 2.47/0.74 thf(func_def_88, type, sK31: ((set_Pr1986765409at_nat > set_Pr1986765409at_nat) > set_Pr1986765409at_nat)).
% 2.47/0.74 thf(func_def_89, type, sK32: (set_Pr1986765409at_nat > list_P559422087at_nat)).
% 2.47/0.74 thf(func_def_90, type, sK33: ((nat > set_Pr1986765409at_nat) > nat)).
% 2.47/0.74 thf(func_def_91, type, sK34: ((nat > set_Pr1986765409at_nat) > nat)).
% 2.47/0.74 thf(func_def_92, type, sK35: (nat > list_P559422087at_nat > nat)).
% 2.47/0.74 thf(func_def_93, type, sK36: ((nat > nat) > nat)).
% 2.47/0.74 thf(func_def_94, type, sK37: ((nat > nat) > nat)).
% 2.47/0.74 thf(func_def_95, type, sK38: ((set_Pr1986765409at_nat > nat) > set_Pr1986765409at_nat)).
% 2.47/0.74 thf(func_def_96, type, sK39: ((set_Pr1986765409at_nat > nat) > set_Pr1986765409at_nat)).
% 2.47/0.74 thf(func_def_97, type, sK40: (set_nat > (nat > $o) > (nat > $o) > nat)).
% 2.47/0.74 thf(func_def_98, type, sK41: (nat > set_nat > set_nat)).
% 2.47/0.74 thf(func_def_99, type, sK42: (set_se1612935105at_nat > set_Pr1986765409at_nat > set_Pr1986765409at_nat)).
% 2.47/0.74 thf(func_def_100, type, sK43: (set_nat > set_nat > nat)).
% 2.47/0.74 thf(func_def_101, type, sK44: (set_nat > nat > nat)).
% 2.47/0.74 thf(func_def_102, type, sK45: ((set_nat > set_nat) > set_nat)).
% 2.47/0.74 thf(func_def_103, type, sK46: ((set_nat > set_nat) > set_nat)).
% 2.47/0.74 thf(func_def_104, type, sK47: (set_nat > set_set_nat > set_nat)).
% 2.47/0.74 thf(func_def_105, type, sK48: (list_P559422087at_nat > nat > nat)).
% 2.47/0.74 thf(func_def_106, type, sK49: (nat > $o > nat > list_P559422087at_nat > nat)).
% 2.47/0.74 thf(func_def_107, type, sK50: (nat > $o > nat > list_P559422087at_nat > nat)).
% 2.47/0.74 thf(func_def_108, type, sK51: (nat > $o > nat > list_P559422087at_nat > list_P559422087at_nat)).
% 2.47/0.74 thf(func_def_109, type, sK52: ((set_nat > nat) > set_nat)).
% 2.47/0.74 thf(func_def_110, type, sK53: ((set_nat > nat) > set_nat)).
% 2.47/0.74 thf(func_def_111, type, sK54: ((nat > nat) > nat)).
% 2.47/0.74 thf(func_def_112, type, sK55: ((nat > nat) > nat)).
% 2.47/0.74 thf(func_def_113, type, sK56: (set_nat > set_set_nat > set_nat)).
% 2.47/0.74 thf(func_def_114, type, sK57: ((set_Pr1986765409at_nat > set_nat) > set_Pr1986765409at_nat)).
% 2.47/0.74 thf(func_def_115, type, sK58: ((set_Pr1986765409at_nat > set_nat) > set_Pr1986765409at_nat)).
% 2.47/0.74 thf(func_def_116, type, sK59: ((nat > nat > nat) > nat)).
% 2.47/0.74 thf(func_def_117, type, sK60: ((nat > nat > nat) > nat)).
% 2.47/0.74 thf(func_def_118, type, sK61: ((nat > nat > nat) > nat)).
% 2.47/0.74 thf(func_def_119, type, sK62: ((nat > nat > nat) > nat)).
% 2.47/0.74 thf(func_def_120, type, sK63: ((nat > nat > nat) > nat)).
% 2.47/0.74 thf(func_def_121, type, sK64: ((nat > nat > nat) > nat)).
% 2.47/0.74 thf(func_def_122, type, sK65: ((nat > nat > nat) > nat)).
% 2.47/0.74 thf(func_def_123, type, sK66: ((set_nat > set_Pr1986765409at_nat) > set_nat)).
% 2.47/0.74 thf(func_def_124, type, sK67: ((set_nat > set_Pr1986765409at_nat) > set_nat)).
% 2.47/0.74 thf(func_def_125, type, sK68: ((nat > set_nat) > nat)).
% 2.47/0.74 thf(func_def_126, type, sK69: ((nat > set_nat) > nat)).
% 2.47/0.74 thf(func_def_127, type, sK70: (list_P559422087at_nat > nat > nat > nat)).
% 2.47/0.74 thf(func_def_128, type, sK71: (list_P559422087at_nat > nat > nat > nat)).
% 2.47/0.74 thf(func_def_129, type, sK72: (list_P559422087at_nat > nat > nat > list_P559422087at_nat)).
% 2.47/0.74 thf(func_def_130, type, sK73: (set_Pr1986765409at_nat > list_P559422087at_nat > product_prod_nat_nat)).
% 2.47/0.74 thf(func_def_131, type, sK74: (set_nat > nat > set_nat)).
% 2.47/0.74 thf(func_def_132, type, sK75: (set_Pr1986765409at_nat > nat > set_Pr1986765409at_nat)).
% 2.47/0.74 thf(func_def_133, type, sK76: ((set_nat > set_nat) > set_nat)).
% 2.47/0.74 thf(func_def_134, type, sK77: ((set_nat > set_nat) > set_nat)).
% 2.47/0.74 thf(func_def_135, type, sK78: ((set_Pr1986765409at_nat > set_Pr1986765409at_nat) > set_Pr1986765409at_nat)).
% 2.47/0.74 thf(func_def_136, type, sK79: ((set_Pr1986765409at_nat > set_Pr1986765409at_nat) > set_Pr1986765409at_nat)).
% 2.47/0.74 thf(func_def_137, type, sK80: (set_se1612935105at_nat > set_Pr1986765409at_nat > set_Pr1986765409at_nat)).
% 2.47/0.74 thf(func_def_138, type, sK81: ((set_Pr1986765409at_nat > set_Pr1986765409at_nat) > set_Pr1986765409at_nat)).
% 2.47/0.74 thf(func_def_139, type, sK82: ((set_Pr1986765409at_nat > set_Pr1986765409at_nat) > set_Pr1986765409at_nat)).
% 2.47/0.74 thf(func_def_140, type, sK83: ((set_Pr1986765409at_nat > set_nat) > set_Pr1986765409at_nat)).
% 2.47/0.74 thf(func_def_141, type, sK84: ((set_Pr1986765409at_nat > set_nat) > set_Pr1986765409at_nat)).
% 2.47/0.74 thf(func_def_142, type, sK85: ((set_nat > set_Pr1986765409at_nat) > set_nat)).
% 2.47/0.74 thf(func_def_143, type, sK86: ((set_nat > set_Pr1986765409at_nat) > set_nat)).
% 2.47/0.74 thf(func_def_144, type, sK87: (nat > set_Pr1986765409at_nat > set_Pr1986765409at_nat)).
% 2.47/0.74 thf(func_def_145, type, sK88: (set_nat > list_nat)).
% 2.47/0.74 thf(func_def_146, type, sK89: ((product_prod_nat_nat > $o) > (product_prod_nat_nat > $o) > product_prod_nat_nat)).
% 2.47/0.74 thf(func_def_147, type, sK90: ((nat > set_nat) > nat)).
% 2.47/0.74 thf(func_def_148, type, sK91: ((nat > set_nat) > nat)).
% 2.47/0.74 thf(func_def_149, type, sK92: ((product_prod_nat_nat > $o) > (product_prod_nat_nat > $o) > product_prod_nat_nat)).
% 2.47/0.74 thf(func_def_150, type, sK93: (set_Pr1986765409at_nat > set_Pr1986765409at_nat > product_prod_nat_nat)).
% 2.47/0.74 thf(func_def_151, type, sK94: ((set_nat > set_Pr1986765409at_nat) > set_nat)).
% 2.47/0.74 thf(func_def_152, type, sK95: ((set_nat > set_Pr1986765409at_nat) > set_nat)).
% 2.47/0.74 thf(func_def_153, type, sK96: (set_nat > nat > nat)).
% 2.47/0.74 thf(func_def_154, type, sK97: ((nat > set_Pr1986765409at_nat) > nat)).
% 2.47/0.74 thf(func_def_155, type, sK98: ((nat > set_Pr1986765409at_nat) > nat)).
% 2.47/0.74 thf(func_def_156, type, sK99: (list_P559422087at_nat > nat > nat)).
% 2.47/0.74 thf(func_def_157, type, sK100: (list_nat > set_nat > nat)).
% 2.47/0.74 thf(func_def_158, type, sK101: ((set_Pr1986765409at_nat > nat) > set_Pr1986765409at_nat)).
% 2.47/0.74 thf(func_def_159, type, sK102: ((set_Pr1986765409at_nat > nat) > set_Pr1986765409at_nat)).
% 2.47/0.74 thf(func_def_160, type, sK103: ((set_nat > set_nat) > set_nat)).
% 2.47/0.74 thf(func_def_161, type, sK104: ((set_nat > set_nat) > set_nat)).
% 2.47/0.74 thf(func_def_162, type, sK105: ((nat > $o) > nat)).
% 2.47/0.74 thf(func_def_163, type, sK106: ((nat > $o) > nat > nat)).
% 2.47/0.74 thf(func_def_164, type, sK107: ((nat > set_Pr1986765409at_nat) > nat)).
% 2.47/0.74 thf(func_def_165, type, sK108: ((nat > set_Pr1986765409at_nat) > nat)).
% 2.47/0.74 thf(func_def_166, type, sK109: ((nat > nat > $o) > nat)).
% 2.47/0.74 thf(func_def_167, type, sK110: ((nat > nat > $o) > nat)).
% 2.47/0.74 thf(func_def_168, type, sK111: ((nat > nat > $o) > nat)).
% 2.47/0.74 thf(func_def_169, type, sK112: ((nat > nat > $o) > nat)).
% 2.47/0.74 thf(func_def_170, type, sK113: ((nat > $o) > (nat > $o) > nat)).
% 2.47/0.74 thf(func_def_171, type, sK114: (set_nat > nat > set_nat)).
% 2.47/0.74 thf(func_def_172, type, sK115: ((set_nat > set_Pr1986765409at_nat) > set_nat)).
% 2.47/0.74 thf(func_def_173, type, sK116: ((set_nat > set_Pr1986765409at_nat) > set_nat)).
% 2.47/0.74 thf(func_def_174, type, sK117: ((nat > set_Pr1986765409at_nat) > nat)).
% 2.47/0.74 thf(func_def_175, type, sK118: ((nat > set_Pr1986765409at_nat) > nat)).
% 2.47/0.74 thf(func_def_176, type, sK119: ((set_nat > set_nat > set_nat) > set_nat)).
% 2.47/0.74 thf(func_def_177, type, sK120: ((set_nat > set_nat > set_nat) > set_nat)).
% 2.47/0.74 thf(func_def_178, type, sK121: ((set_nat > set_nat > set_nat) > set_nat)).
% 2.47/0.74 thf(func_def_179, type, sK122: ((set_nat > set_nat > set_nat) > set_nat)).
% 2.47/0.74 thf(func_def_180, type, sK123: ((set_nat > set_nat > set_nat) > set_nat)).
% 2.47/0.74 thf(func_def_181, type, sK124: ((set_nat > set_nat > set_nat) > set_nat)).
% 2.47/0.74 thf(func_def_182, type, sK125: ((set_nat > set_nat > set_nat) > set_nat)).
% 2.47/0.74 thf(func_def_183, type, sK126: ((set_nat > nat) > set_nat)).
% 2.47/0.74 thf(func_def_184, type, sK127: ((set_nat > nat) > set_nat)).
% 2.47/0.74 thf(func_def_185, type, sK128: ((set_Pr1986765409at_nat > set_Pr1986765409at_nat > set_Pr1986765409at_nat) > set_Pr1986765409at_nat)).
% 2.47/0.74 thf(func_def_186, type, sK129: ((set_Pr1986765409at_nat > set_Pr1986765409at_nat > set_Pr1986765409at_nat) > set_Pr1986765409at_nat)).
% 2.47/0.74 thf(func_def_187, type, sK130: ((set_Pr1986765409at_nat > set_Pr1986765409at_nat > set_Pr1986765409at_nat) > set_Pr1986765409at_nat)).
% 2.47/0.74 thf(func_def_188, type, sK131: ((set_Pr1986765409at_nat > set_Pr1986765409at_nat > set_Pr1986765409at_nat) > set_Pr1986765409at_nat)).
% 2.47/0.74 thf(func_def_189, type, sK132: ((set_Pr1986765409at_nat > set_Pr1986765409at_nat > set_Pr1986765409at_nat) > set_Pr1986765409at_nat)).
% 2.47/0.74 thf(func_def_190, type, sK133: ((set_Pr1986765409at_nat > set_Pr1986765409at_nat > set_Pr1986765409at_nat) > set_Pr1986765409at_nat)).
% 2.47/0.74 thf(func_def_191, type, sK134: ((set_Pr1986765409at_nat > set_Pr1986765409at_nat > set_Pr1986765409at_nat) > set_Pr1986765409at_nat)).
% 2.47/0.74 thf(func_def_192, type, sK135: ((set_Pr1986765409at_nat > set_nat) > set_Pr1986765409at_nat)).
% 2.47/0.74 thf(func_def_193, type, sK136: ((set_Pr1986765409at_nat > set_nat) > set_Pr1986765409at_nat)).
% 2.47/0.74 thf(func_def_194, type, sK137: ((set_nat > nat) > set_nat)).
% 2.47/0.74 thf(func_def_195, type, sK138: ((set_nat > nat) > set_nat)).
% 2.47/0.74 thf(func_def_196, type, sK139: ((set_Pr1986765409at_nat > set_Pr1986765409at_nat) > set_Pr1986765409at_nat)).
% 2.47/0.74 thf(func_def_197, type, sK140: ((set_Pr1986765409at_nat > set_Pr1986765409at_nat) > set_Pr1986765409at_nat)).
% 2.47/0.74 thf(func_def_198, type, sK141: (list_P559422087at_nat > product_prod_nat_nat > list_P559422087at_nat)).
% 2.47/0.74 thf(func_def_199, type, sK142: (list_P559422087at_nat > product_prod_nat_nat > list_P559422087at_nat)).
% 2.47/0.74 thf(func_def_200, type, sK143: (list_P559422087at_nat > product_prod_nat_nat > product_prod_nat_nat)).
% 2.47/0.74 thf(func_def_201, type, sK144: ((set_nat > nat) > set_nat)).
% 2.47/0.74 thf(func_def_202, type, sK145: ((set_nat > nat) > set_nat)).
% 2.47/0.74 thf(func_def_203, type, sK146: (set_Pr1986765409at_nat > nat > set_Pr1986765409at_nat)).
% 2.47/0.74 thf(func_def_204, type, sK147: (nat > nat > list_P559422087at_nat > list_P559422087at_nat)).
% 2.47/0.74 thf(func_def_205, type, sK148: ((nat > set_nat) > nat)).
% 2.47/0.74 thf(func_def_206, type, sK149: ((nat > set_nat) > nat)).
% 2.47/0.74 thf(func_def_207, type, sK150: ((set_nat > set_nat) > set_nat)).
% 2.47/0.74 thf(func_def_208, type, sK151: ((set_nat > set_nat) > set_nat)).
% 2.47/0.74 thf(func_def_209, type, vNOT: ($o > $o)).
% 2.47/0.74 thf(f1,axiom,(
% 2.47/0.74 (isShortestPath_a @ c @ s @ p @ t)),
% 2.47/0.74 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_SP)).
% 2.47/0.74 thf(f2,axiom,(
% 2.47/0.74 (ord_le841296385at_nat @ edges @ (set_Pr2131844118at_nat @ p))),
% 2.47/0.74 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1_SP__EDGES)).
% 2.47/0.74 thf(f35,axiom,(
% 2.47/0.74 ! [X2 : set_Pr1986765409at_nat,X0 : set_Pr1986765409at_nat,X1 : set_Pr1986765409at_nat] : ((ord_le841296385at_nat @ X0 @ X1) => ((ord_le841296385at_nat @ X2 @ X0) => (ord_le841296385at_nat @ X2 @ X1)))),
% 2.47/0.74 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_34_dual__order_Otrans)).
% 2.47/0.74 thf(f147,axiom,(
% 2.47/0.74 ! [X2 : list_P559422087at_nat,X0 : (product_prod_nat_nat > a),X1 : nat,X4 : product_prod_nat_nat,X3 : nat] : ((isPath_a @ X0 @ X1 @ X2 @ X3) => ((member701585322at_nat @ X4 @ (set_Pr2131844118at_nat @ X2)) => (member701585322at_nat @ X4 @ (e_a @ X0))))),
% 2.47/0.74 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_146_Graph_OisPath__edgeset)).
% 2.47/0.74 thf(f201,axiom,(
% 2.47/0.74 ! [X3 : nat,X2 : list_P559422087at_nat,X1 : nat,X0 : (product_prod_nat_nat > a)] : ((isShortestPath_a @ X0 @ X1 @ X2 @ X3) => (isPath_a @ X0 @ X1 @ X2 @ X3))),
% 2.47/0.74 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_200_Graph_OshortestPath__is__path)).
% 2.47/0.74 thf(f329,axiom,(
% 2.47/0.74 ! [X1 : set_Pr1986765409at_nat,X0 : list_P559422087at_nat] : (((ord_le841296385at_nat @ (set_Pr2131844118at_nat @ X0) @ X1)) = ! [X2 : product_prod_nat_nat] : ((member701585322at_nat @ X2 @ (set_Pr2131844118at_nat @ X0)) => (member701585322at_nat @ X2 @ X1)))),
% 2.47/0.74 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_328_subset__code_I1_J)).
% 2.47/0.74 thf(f354,conjecture,(
% 2.47/0.74 (ord_le841296385at_nat @ edges @ (e_a @ c))),
% 2.47/0.74 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)).
% 2.47/0.74 thf(f355,negated_conjecture,(
% 2.47/0.74 ~(ord_le841296385at_nat @ edges @ (e_a @ c))),
% 2.47/0.74 inference(negated_conjecture,[status(cth)],[f354])).
% 2.47/0.74 thf(f366,plain,(
% 2.47/0.74 (isShortestPath_a @ c @ s @ p @ t)),
% 2.47/0.74 inference(rectify,[],[f1])).
% 2.47/0.74 thf(f367,plain,(
% 2.47/0.74 (((isShortestPath_a @ c @ s @ p @ t)) = $true)),
% 2.47/0.74 inference(fool_elimination,[],[f366])).
% 2.47/0.74 thf(f561,plain,(
% 2.47/0.74 ! [X0 : list_P559422087at_nat,X1 : (product_prod_nat_nat > a),X2 : nat,X3 : product_prod_nat_nat,X4 : nat] : ((isPath_a @ X1 @ X2 @ X0 @ X4) => ((member701585322at_nat @ X3 @ (set_Pr2131844118at_nat @ X0)) => (member701585322at_nat @ X3 @ (e_a @ X1))))),
% 2.47/0.74 inference(rectify,[],[f147])).
% 2.47/0.74 thf(f562,plain,(
% 2.47/0.74 ! [X1 : (product_prod_nat_nat > a),X0 : list_P559422087at_nat,X4 : nat,X3 : product_prod_nat_nat,X2 : nat] : ((((isPath_a @ X1 @ X2 @ X0 @ X4)) = $true) => ((((member701585322at_nat @ X3 @ (set_Pr2131844118at_nat @ X0))) = $true) => (((member701585322at_nat @ X3 @ (e_a @ X1))) = $true)))),
% 2.47/0.74 inference(fool_elimination,[],[f561])).
% 2.47/0.74 thf(f719,plain,(
% 2.47/0.74 ! [X0 : nat,X1 : list_P559422087at_nat,X2 : nat,X3 : (product_prod_nat_nat > a)] : ((isShortestPath_a @ X3 @ X2 @ X1 @ X0) => (isPath_a @ X3 @ X2 @ X1 @ X0))),
% 2.47/0.74 inference(rectify,[],[f201])).
% 2.47/0.74 thf(f720,plain,(
% 2.47/0.74 ! [X3 : (product_prod_nat_nat > a),X0 : nat,X1 : list_P559422087at_nat,X2 : nat] : ((((isShortestPath_a @ X3 @ X2 @ X1 @ X0)) = $true) => (((isPath_a @ X3 @ X2 @ X1 @ X0)) = $true))),
% 2.47/0.74 inference(fool_elimination,[],[f719])).
% 2.47/0.74 thf(f723,plain,(
% 2.47/0.74 ! [X0 : set_Pr1986765409at_nat,X1 : set_Pr1986765409at_nat,X2 : set_Pr1986765409at_nat] : ((ord_le841296385at_nat @ X1 @ X2) => ((ord_le841296385at_nat @ X0 @ X1) => (ord_le841296385at_nat @ X0 @ X2)))),
% 2.47/0.74 inference(rectify,[],[f35])).
% 2.47/0.74 thf(f724,plain,(
% 2.47/0.74 ! [X2 : set_Pr1986765409at_nat,X1 : set_Pr1986765409at_nat,X0 : set_Pr1986765409at_nat] : ((((ord_le841296385at_nat @ X1 @ X2)) = $true) => ((((ord_le841296385at_nat @ X0 @ X1)) = $true) => (((ord_le841296385at_nat @ X0 @ X2)) = $true)))),
% 2.47/0.74 inference(fool_elimination,[],[f723])).
% 2.47/0.74 thf(f742,plain,(
% 2.47/0.74 (ord_le841296385at_nat @ edges @ (set_Pr2131844118at_nat @ p))),
% 2.47/0.74 inference(rectify,[],[f2])).
% 2.47/0.74 thf(f743,plain,(
% 2.47/0.74 (((ord_le841296385at_nat @ edges @ (set_Pr2131844118at_nat @ p))) = $true)),
% 2.47/0.74 inference(fool_elimination,[],[f742])).
% 2.47/0.74 thf(f778,plain,(
% 2.47/0.74 ~(ord_le841296385at_nat @ edges @ (e_a @ c))),
% 2.47/0.74 inference(rectify,[],[f355])).
% 2.47/0.74 thf(f779,plain,(
% 2.47/0.74 ~ (((ord_le841296385at_nat @ edges @ (e_a @ c))) = $true)),
% 2.47/0.74 inference(fool_elimination,[],[f778])).
% 2.47/0.74 thf(f880,plain,(
% 2.47/0.74 ! [X0 : set_Pr1986765409at_nat,X1 : list_P559422087at_nat] : (((ord_le841296385at_nat @ (set_Pr2131844118at_nat @ X1) @ X0)) = ! [X2 : product_prod_nat_nat] : ((member701585322at_nat @ X2 @ (set_Pr2131844118at_nat @ X1)) => (member701585322at_nat @ X2 @ X0)))),
% 2.47/0.74 inference(rectify,[],[f329])).
% 2.47/0.74 thf(f881,plain,(
% 2.47/0.74 ! [X0 : set_Pr1986765409at_nat,X1 : list_P559422087at_nat] : (! [X2 : product_prod_nat_nat] : ((((member701585322at_nat @ X2 @ (set_Pr2131844118at_nat @ X1))) = $true) => (((member701585322at_nat @ X2 @ X0)) = $true)) <=> (((ord_le841296385at_nat @ (set_Pr2131844118at_nat @ X1) @ X0)) = $true))),
% 2.47/0.74 inference(fool_elimination,[],[f880])).
% 2.47/0.74 thf(f1036,plain,(
% 2.47/0.74 (((ord_le841296385at_nat @ edges @ (e_a @ c))) != $true)),
% 2.47/0.74 inference(flattening,[],[f779])).
% 2.47/0.74 thf(f1156,plain,(
% 2.47/0.74 ! [X1 : (product_prod_nat_nat > a),X0 : list_P559422087at_nat,X4 : nat,X3 : product_prod_nat_nat,X2 : nat] : (((((member701585322at_nat @ X3 @ (e_a @ X1))) = $true) | (((member701585322at_nat @ X3 @ (set_Pr2131844118at_nat @ X0))) != $true)) | (((isPath_a @ X1 @ X2 @ X0 @ X4)) != $true))),
% 2.47/0.74 inference(ennf_transformation,[],[f562])).
% 2.47/0.74 thf(f1157,plain,(
% 2.47/0.74 ! [X3 : product_prod_nat_nat,X2 : nat,X4 : nat,X1 : (product_prod_nat_nat > a),X0 : list_P559422087at_nat] : ((((member701585322at_nat @ X3 @ (e_a @ X1))) = $true) | (((member701585322at_nat @ X3 @ (set_Pr2131844118at_nat @ X0))) != $true) | (((isPath_a @ X1 @ X2 @ X0 @ X4)) != $true))),
% 2.47/0.74 inference(flattening,[],[f1156])).
% 2.47/0.74 thf(f1228,plain,(
% 2.47/0.74 ! [X1 : list_P559422087at_nat,X0 : set_Pr1986765409at_nat] : ((((ord_le841296385at_nat @ (set_Pr2131844118at_nat @ X1) @ X0)) = $true) <=> ! [X2 : product_prod_nat_nat] : ((((member701585322at_nat @ X2 @ (set_Pr2131844118at_nat @ X1))) != $true) | (((member701585322at_nat @ X2 @ X0)) = $true)))),
% 2.47/0.74 inference(ennf_transformation,[],[f881])).
% 2.47/0.74 thf(f1239,plain,(
% 2.47/0.74 ! [X2 : set_Pr1986765409at_nat,X1 : set_Pr1986765409at_nat,X0 : set_Pr1986765409at_nat] : (((((ord_le841296385at_nat @ X0 @ X2)) = $true) | (((ord_le841296385at_nat @ X0 @ X1)) != $true)) | (((ord_le841296385at_nat @ X1 @ X2)) != $true))),
% 2.47/0.74 inference(ennf_transformation,[],[f724])).
% 2.47/0.74 thf(f1240,plain,(
% 2.47/0.74 ! [X1 : set_Pr1986765409at_nat,X0 : set_Pr1986765409at_nat,X2 : set_Pr1986765409at_nat] : ((((ord_le841296385at_nat @ X1 @ X2)) != $true) | (((ord_le841296385at_nat @ X0 @ X1)) != $true) | (((ord_le841296385at_nat @ X0 @ X2)) = $true))),
% 2.47/0.74 inference(flattening,[],[f1239])).
% 2.47/0.74 thf(f1400,plain,(
% 2.47/0.74 ! [X2 : nat,X3 : (product_prod_nat_nat > a),X1 : list_P559422087at_nat,X0 : nat] : ((((isShortestPath_a @ X3 @ X2 @ X1 @ X0)) != $true) | (((isPath_a @ X3 @ X2 @ X1 @ X0)) = $true))),
% 2.47/0.74 inference(ennf_transformation,[],[f720])).
% 2.47/0.74 thf(f1419,plain,(
% 2.47/0.74 ! [X0 : nat,X1 : (product_prod_nat_nat > a),X2 : list_P559422087at_nat,X3 : nat] : ((((isShortestPath_a @ X1 @ X0 @ X2 @ X3)) != $true) | (((isPath_a @ X1 @ X0 @ X2 @ X3)) = $true))),
% 2.47/0.74 inference(rectify,[],[f1400])).
% 2.47/0.74 thf(f1477,plain,(
% 2.47/0.74 ! [X0 : set_Pr1986765409at_nat,X1 : set_Pr1986765409at_nat,X2 : set_Pr1986765409at_nat] : ((((ord_le841296385at_nat @ X0 @ X2)) != $true) | (((ord_le841296385at_nat @ X1 @ X0)) != $true) | (((ord_le841296385at_nat @ X1 @ X2)) = $true))),
% 2.47/0.74 inference(rectify,[],[f1240])).
% 2.47/0.74 thf(f1535,plain,(
% 2.47/0.74 ! [X0 : product_prod_nat_nat,X1 : nat,X2 : nat,X3 : (product_prod_nat_nat > a),X4 : list_P559422087at_nat] : ((((member701585322at_nat @ X0 @ (e_a @ X3))) = $true) | ($true != ((member701585322at_nat @ X0 @ (set_Pr2131844118at_nat @ X4)))) | ($true != ((isPath_a @ X3 @ X1 @ X4 @ X2))))),
% 2.47/0.74 inference(rectify,[],[f1157])).
% 2.47/0.74 thf(f1560,plain,(
% 2.47/0.74 ! [X1 : list_P559422087at_nat,X0 : set_Pr1986765409at_nat] : (((((ord_le841296385at_nat @ (set_Pr2131844118at_nat @ X1) @ X0)) = $true) | ? [X2 : product_prod_nat_nat] : ((((member701585322at_nat @ X2 @ (set_Pr2131844118at_nat @ X1))) = $true) & (((member701585322at_nat @ X2 @ X0)) != $true))) & (! [X2 : product_prod_nat_nat] : ((((member701585322at_nat @ X2 @ (set_Pr2131844118at_nat @ X1))) != $true) | (((member701585322at_nat @ X2 @ X0)) = $true)) | (((ord_le841296385at_nat @ (set_Pr2131844118at_nat @ X1) @ X0)) != $true)))),
% 2.47/0.74 inference(nnf_transformation,[],[f1228])).
% 2.47/0.74 thf(f1561,plain,(
% 2.47/0.74 ! [X0 : list_P559422087at_nat,X1 : set_Pr1986765409at_nat] : (((((ord_le841296385at_nat @ (set_Pr2131844118at_nat @ X0) @ X1)) = $true) | ? [X2 : product_prod_nat_nat] : ((((member701585322at_nat @ X2 @ (set_Pr2131844118at_nat @ X0))) = $true) & (((member701585322at_nat @ X2 @ X1)) != $true))) & (! [X3 : product_prod_nat_nat] : ((((member701585322at_nat @ X3 @ (set_Pr2131844118at_nat @ X0))) != $true) | (((member701585322at_nat @ X3 @ X1)) = $true)) | (((ord_le841296385at_nat @ (set_Pr2131844118at_nat @ X0) @ X1)) != $true)))),
% 2.47/0.74 inference(rectify,[],[f1560])).
% 2.47/0.74 thf(f1562,plain,(
% 2.47/0.74 ! [X0 : list_P559422087at_nat,X1 : set_Pr1986765409at_nat] : (((((ord_le841296385at_nat @ (set_Pr2131844118at_nat @ X0) @ X1)) = $true) | (($true = ((member701585322at_nat @ (sK73 @ X1 @ X0) @ (set_Pr2131844118at_nat @ X0)))) & (((member701585322at_nat @ (sK73 @ X1 @ X0) @ X1)) != $true))) & (! [X3 : product_prod_nat_nat] : ((((member701585322at_nat @ X3 @ (set_Pr2131844118at_nat @ X0))) != $true) | (((member701585322at_nat @ X3 @ X1)) = $true)) | (((ord_le841296385at_nat @ (set_Pr2131844118at_nat @ X0) @ X1)) != $true)))),
% 2.47/0.74 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP]),skolemize(X5,sK1 @ X3)],[f1561])).
% 2.47/0.74 thf(f1714,plain,(
% 2.47/0.74 ( ! [X2 : list_P559422087at_nat,X3 : nat,X0 : nat,X1 : (product_prod_nat_nat > a)] : ((((isShortestPath_a @ X1 @ X0 @ X2 @ X3)) != $true) | (((isPath_a @ X1 @ X0 @ X2 @ X3)) = $true)) )),
% 2.47/0.74 inference(cnf_transformation,[],[f1419])).
% 2.47/0.74 thf(f1835,plain,(
% 2.47/0.74 ( ! [X2 : set_Pr1986765409at_nat,X0 : set_Pr1986765409at_nat,X1 : set_Pr1986765409at_nat] : ((((ord_le841296385at_nat @ X1 @ X0)) != $true) | (((ord_le841296385at_nat @ X0 @ X2)) != $true) | (((ord_le841296385at_nat @ X1 @ X2)) = $true)) )),
% 2.47/0.74 inference(cnf_transformation,[],[f1477])).
% 2.47/0.74 thf(f1901,plain,(
% 2.47/0.74 (((ord_le841296385at_nat @ edges @ (set_Pr2131844118at_nat @ p))) = $true)),
% 2.47/0.74 inference(cnf_transformation,[],[f743])).
% 2.47/0.74 thf(f1941,plain,(
% 2.47/0.74 ( ! [X2 : nat,X3 : (product_prod_nat_nat > a),X0 : product_prod_nat_nat,X1 : nat,X4 : list_P559422087at_nat] : (($true != ((member701585322at_nat @ X0 @ (set_Pr2131844118at_nat @ X4)))) | ($true != ((isPath_a @ X3 @ X1 @ X4 @ X2))) | (((member701585322at_nat @ X0 @ (e_a @ X3))) = $true)) )),
% 2.47/0.74 inference(cnf_transformation,[],[f1535])).
% 2.47/0.74 thf(f1985,plain,(
% 2.47/0.74 ( ! [X0 : list_P559422087at_nat,X1 : set_Pr1986765409at_nat] : ((((member701585322at_nat @ (sK73 @ X1 @ X0) @ X1)) != $true) | (((ord_le841296385at_nat @ (set_Pr2131844118at_nat @ X0) @ X1)) = $true)) )),
% 2.47/0.74 inference(cnf_transformation,[],[f1562])).
% 2.47/0.74 thf(f1986,plain,(
% 2.47/0.74 ( ! [X0 : list_P559422087at_nat,X1 : set_Pr1986765409at_nat] : ((((ord_le841296385at_nat @ (set_Pr2131844118at_nat @ X0) @ X1)) = $true) | ($true = ((member701585322at_nat @ (sK73 @ X1 @ X0) @ (set_Pr2131844118at_nat @ X0))))) )),
% 2.47/0.74 inference(cnf_transformation,[],[f1562])).
% 2.47/0.74 thf(f2001,plain,(
% 2.47/0.74 (((isShortestPath_a @ c @ s @ p @ t)) = $true)),
% 2.47/0.74 inference(cnf_transformation,[],[f367])).
% 2.47/0.74 thf(f2018,plain,(
% 2.47/0.74 (((ord_le841296385at_nat @ edges @ (e_a @ c))) != $true)),
% 2.47/0.74 inference(cnf_transformation,[],[f1036])).
% 2.47/0.74 thf(f2555,definition,(
% 2.47/0.74 spl152_21 <=> (((ord_le841296385at_nat @ edges @ (e_a @ c))) = $true)),
% 2.47/0.74 introduced(definition,[new_symbols(definition,[spl152_21])],[avatar_definition])).
% 2.47/0.74 thf(f2557,plain,(
% 2.47/0.74 (((ord_le841296385at_nat @ edges @ (e_a @ c))) != $true) | spl152_21),
% 2.47/0.74 inference(avatar_component_clause,[],[f2555])).
% 2.47/0.74 thf(f2558,plain,(
% 2.47/0.74 ~spl152_21),
% 2.47/0.74 inference(avatar_split_clause,[],[f2018,f2555])).
% 2.47/0.74 thf(f2584,definition,(
% 2.47/0.74 spl152_27 <=> (((isShortestPath_a @ c @ s @ p @ t)) = $true)),
% 2.47/0.74 introduced(definition,[new_symbols(definition,[spl152_27])],[avatar_definition])).
% 2.47/0.74 thf(f2586,plain,(
% 2.47/0.74 (((isShortestPath_a @ c @ s @ p @ t)) = $true) | ~spl152_27),
% 2.47/0.74 inference(avatar_component_clause,[],[f2584])).
% 2.47/0.74 thf(f2587,plain,(
% 2.47/0.74 spl152_27),
% 2.47/0.74 inference(avatar_split_clause,[],[f2001,f2584])).
% 2.47/0.74 thf(f2604,definition,(
% 2.47/0.74 spl152_31 <=> (((ord_le841296385at_nat @ edges @ (set_Pr2131844118at_nat @ p))) = $true)),
% 2.47/0.74 introduced(definition,[new_symbols(definition,[spl152_31])],[avatar_definition])).
% 2.47/0.74 thf(f2606,plain,(
% 2.47/0.74 (((ord_le841296385at_nat @ edges @ (set_Pr2131844118at_nat @ p))) = $true) | ~spl152_31),
% 2.47/0.74 inference(avatar_component_clause,[],[f2604])).
% 2.47/0.74 thf(f2607,plain,(
% 2.47/0.74 spl152_31),
% 2.47/0.74 inference(avatar_split_clause,[],[f1901,f2604])).
% 2.47/0.74 thf(f2646,plain,(
% 2.47/0.74 (((ord_le841296385at_nat @ (set_Pr2131844118at_nat @ p) @ (e_a @ c))) != $true) | (spl152_21 | ~spl152_31)),
% 2.47/0.74 inference(unit_resulting_resolution,[],[f1835,f2557,f2606])).
% 2.47/0.74 thf(f2652,definition,(
% 2.47/0.74 spl152_37 <=> (((ord_le841296385at_nat @ (set_Pr2131844118at_nat @ p) @ (e_a @ c))) = $true)),
% 2.47/0.74 introduced(definition,[new_symbols(definition,[spl152_37])],[avatar_definition])).
% 2.47/0.74 thf(f2654,plain,(
% 2.47/0.74 (((ord_le841296385at_nat @ (set_Pr2131844118at_nat @ p) @ (e_a @ c))) != $true) | spl152_37),
% 2.47/0.74 inference(avatar_component_clause,[],[f2652])).
% 2.47/0.74 thf(f2655,plain,(
% 2.47/0.74 ~spl152_37 | spl152_21 | ~spl152_31),
% 2.47/0.74 inference(avatar_split_clause,[],[f2646,f2604,f2555,f2652])).
% 2.47/0.74 thf(f2673,plain,(
% 2.47/0.74 (((member701585322at_nat @ (sK73 @ (e_a @ c) @ p) @ (e_a @ c))) != $true) | spl152_37),
% 2.47/0.74 inference(unit_resulting_resolution,[],[f1985,f2654])).
% 2.47/0.74 thf(f2681,definition,(
% 2.47/0.74 spl152_39 <=> (((member701585322at_nat @ (sK73 @ (e_a @ c) @ p) @ (e_a @ c))) = $true)),
% 2.47/0.74 introduced(definition,[new_symbols(definition,[spl152_39])],[avatar_definition])).
% 2.47/0.74 thf(f2683,plain,(
% 2.47/0.74 (((member701585322at_nat @ (sK73 @ (e_a @ c) @ p) @ (e_a @ c))) != $true) | spl152_39),
% 2.47/0.74 inference(avatar_component_clause,[],[f2681])).
% 2.47/0.74 thf(f2684,plain,(
% 2.47/0.74 ~spl152_39 | spl152_37),
% 2.47/0.74 inference(avatar_split_clause,[],[f2673,f2652,f2681])).
% 2.47/0.74 thf(f2698,plain,(
% 2.47/0.74 ($true = ((member701585322at_nat @ (sK73 @ (e_a @ c) @ p) @ (set_Pr2131844118at_nat @ p)))) | ($true != $true) | spl152_37),
% 2.47/0.74 inference(superposition,[],[f2654,f1986])).
% 2.47/0.74 thf(f2699,plain,(
% 2.47/0.74 ($true = ((member701585322at_nat @ (sK73 @ (e_a @ c) @ p) @ (set_Pr2131844118at_nat @ p)))) | spl152_37),
% 2.47/0.74 inference(trivial_inequality_removal,[],[f2698])).
% 2.47/0.74 thf(f2708,definition,(
% 2.47/0.74 spl152_40 <=> ($true = ((member701585322at_nat @ (sK73 @ (e_a @ c) @ p) @ (set_Pr2131844118at_nat @ p))))),
% 2.47/0.74 introduced(definition,[new_symbols(definition,[spl152_40])],[avatar_definition])).
% 2.47/0.74 thf(f2710,plain,(
% 2.47/0.74 ($true = ((member701585322at_nat @ (sK73 @ (e_a @ c) @ p) @ (set_Pr2131844118at_nat @ p)))) | ~spl152_40),
% 2.47/0.74 inference(avatar_component_clause,[],[f2708])).
% 2.47/0.74 thf(f2711,plain,(
% 2.47/0.74 spl152_40 | spl152_37),
% 2.47/0.74 inference(avatar_split_clause,[],[f2699,f2652,f2708])).
% 2.47/0.74 thf(f2766,plain,(
% 2.47/0.74 ( ! [X0 : nat,X1 : nat] : ((((isPath_a @ c @ X0 @ p @ X1)) != $true)) ) | (spl152_39 | ~spl152_40)),
% 2.47/0.74 inference(unit_resulting_resolution,[],[f1941,f2710,f2683])).
% 2.47/0.74 thf(f5560,plain,(
% 2.47/0.74 ($true = ((isPath_a @ c @ s @ p @ t))) | ($true != $true) | ~spl152_27),
% 2.47/0.74 inference(superposition,[],[f1714,f2586])).
% 2.47/0.74 thf(f5562,plain,(
% 2.47/0.74 ($true = ((isPath_a @ c @ s @ p @ t))) | ~spl152_27),
% 2.47/0.74 inference(trivial_inequality_removal,[],[f5560])).
% 2.47/0.74 thf(f5565,plain,(
% 2.47/0.74 $false | (~spl152_27 | spl152_39 | ~spl152_40)),
% 2.47/0.74 inference(forward_subsumption_resolution,[],[f5562,f2766])).
% 2.47/0.74 thf(f5566,plain,(
% 2.47/0.74 ~spl152_27 | spl152_39 | ~spl152_40),
% 2.47/0.74 inference(avatar_contradiction_clause,[],[f5565])).
% 2.47/0.74 cnf(s22, plain, ~spl152_21, inference(sat_conversion,[],[f2558])).
% 2.47/0.74 cnf(s34, plain, spl152_27, inference(sat_conversion,[],[f2587])).
% 2.47/0.74 cnf(s39, plain, spl152_31, inference(sat_conversion,[],[f2607])).
% 2.47/0.74 cnf(s52, plain, spl152_21 | ~spl152_31 | ~spl152_37, inference(sat_conversion,[],[f2655])).
% 2.47/0.74 cnf(s54, plain, spl152_37 | ~spl152_39, inference(sat_conversion,[],[f2684])).
% 2.47/0.74 cnf(s55, plain, spl152_37 | spl152_40, inference(sat_conversion,[],[f2711])).
% 2.47/0.74 cnf(s186, plain, ~spl152_27 | spl152_39 | ~spl152_40, inference(sat_conversion,[],[f5566])).
% 2.47/0.74 cnf(s204, plain, ~spl152_37, inference(rat,[],[s52,s39,s22])).
% 2.47/0.74 cnf(s212, plain, spl152_40, inference(rat,[],[s55,s204])).
% 2.47/0.74 cnf(s213, plain, ~spl152_39, inference(rat,[],[s54,s204])).
% 2.47/0.74 cnf(s221, plain, $false, inference(rat,[],[s186,s34,s212,s213])).
% 2.47/0.74 thf(f5567,plain,(
% 2.47/0.74 $false),
% 2.47/0.74 inference(avatar_sat_refutation,[],[s221])).
% 2.47/0.74 % SZS output end Proof for theBenchmark
% 2.47/0.74 % (818490)------------------------------
% 2.47/0.74 % (818490)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.47/0.74 % (818490)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/0.74 % (818490)CaDiCaL version: 2.1.3
% 2.47/0.74 % (818490)Termination reason: Refutation
% 2.47/0.74 % (818490)Time elapsed: 0.151 s
% 2.47/0.74 % (818490)Peak memory usage: 17 MB
% 2.47/0.74 % (818490)Instructions burned: 547 (million)
% 2.47/0.74 % (818402)Success in time 0.466 s
% 2.47/0.74 % Vampire exiting
%------------------------------------------------------------------------------