%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP193^2 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n018.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 08:08:45 AM UTC 2026
% Result : Theorem 3.22s 0.85s
% Output : Refutation 3.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP193^2 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n018.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Tue Sep 29 20:12:27 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running higher-order theorem proving
% 0.22/0.28 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.56/0.41 % (582347)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.56/0.41 % (582366)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.56/0.41 % (582366)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
% 0.56/0.41 % (582366)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=785523426:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.56/0.41 % (582360)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2350613211:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.56/0.41 % (582364)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3711166277:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.56/0.41 % (582361)lrs+10_16_si=on:nwc=1.5:random_seed=3174151928:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.56/0.41 % (582362)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=843304792:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.56/0.41 % (582363)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=1241486293: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)
% 0.56/0.41 % (582365)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1443055724:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.56/0.41 % (582362)Instruction limit reached!
% 0.56/0.41 % (582362)------------------------------
% 0.56/0.41 % (582362)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.41 % (582362)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.41 % (582362)CaDiCaL version: 2.1.3
% 0.56/0.41 % (582362)Termination reason: Instruction limit
% 0.56/0.41 % (582362)Termination phase: shuffling
% 0.56/0.41 % (582362)Time elapsed: 0.002 s
% 0.56/0.41 % (582362)Peak memory usage: 10 MB
% 0.56/0.41 % (582362)Instructions burned: 3 (million)
% 0.56/0.41 % (582361)Instruction limit reached!
% 0.56/0.41 % (582361)------------------------------
% 0.56/0.41 % (582361)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.41 % (582361)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.41 % (582361)CaDiCaL version: 2.1.3
% 0.56/0.41 % (582361)Termination reason: Instruction limit
% 0.56/0.41 % (582361)Termination phase: shuffling
% 0.56/0.41 % (582361)Time elapsed: 0.011 s
% 0.56/0.41 % (582361)Peak memory usage: 10 MB
% 0.56/0.41 % (582361)Instructions burned: 18 (million)
% 0.56/0.41 % (582364)Instruction limit reached!
% 0.56/0.41 % (582364)------------------------------
% 0.56/0.41 % (582364)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.41 % (582364)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.41 % (582364)CaDiCaL version: 2.1.3
% 0.56/0.41 % (582364)Termination reason: Instruction limit
% 0.56/0.41 % (582364)Termination phase: Property scanning
% 0.56/0.41 % (582364)Time elapsed: 0.012 s
% 0.56/0.41 % (582364)Peak memory usage: 10 MB
% 0.56/0.41 % (582364)Instructions burned: 25 (million)
% 0.56/0.41 % (582374)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1522995981:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.56/0.41 % (582374)Instruction limit reached!
% 0.56/0.41 % (582374)------------------------------
% 0.56/0.41 % (582374)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.41 % (582374)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.41 % (582374)CaDiCaL version: 2.1.3
% 0.56/0.41 % (582374)Termination reason: Instruction limit
% 0.56/0.41 % (582374)Termination phase: shuffling
% 0.56/0.41 % (582374)Time elapsed: 0.002 s
% 0.56/0.41 % (582374)Peak memory usage: 10 MB
% 0.56/0.41 % (582374)Instructions burned: 3 (million)
% 0.56/0.41 % (582376)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.56/0.41 % (582376)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=795377630:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.56/0.45 % (582375)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3674951559:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.56/0.45 % (582376)Instruction limit reached!
% 0.56/0.45 % (582376)------------------------------
% 0.56/0.45 % (582376)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.45 % (582376)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.45 % (582376)CaDiCaL version: 2.1.3
% 0.56/0.45 % (582376)Termination reason: Instruction limit
% 0.56/0.45 % (582376)Termination phase: shuffling
% 0.56/0.45 % (582376)Time elapsed: 0.004 s
% 0.56/0.45 % (582376)Peak memory usage: 10 MB
% 0.56/0.45 % (582376)Instructions burned: 8 (million)
% 0.56/0.45 % (582366)Instruction limit reached!
% 0.56/0.45 % (582366)------------------------------
% 0.56/0.45 % (582366)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.45 % (582366)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.45 % (582366)CaDiCaL version: 2.1.3
% 0.56/0.45 % (582366)Termination reason: Instruction limit
% 0.56/0.45 % (582366)Termination phase: Saturation
% 0.56/0.45 % (582366)Time elapsed: 0.044 s
% 0.56/0.45 % (582366)Peak memory usage: 14 MB
% 0.56/0.45 % (582366)Instructions burned: 157 (million)
% 0.56/0.45 % (582375)Instruction limit reached!
% 0.56/0.45 % (582375)------------------------------
% 0.56/0.45 % (582375)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.45 % (582375)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.45 % (582375)CaDiCaL version: 2.1.3
% 0.56/0.45 % (582375)Termination reason: Instruction limit
% 0.56/0.45 % (582375)Termination phase: shuffling
% 0.56/0.45 % (582375)Time elapsed: 0.004 s
% 0.56/0.45 % (582375)Peak memory usage: 10 MB
% 0.56/0.45 % (582375)Instructions burned: 6 (million)
% 0.56/0.45 % (582365)Instruction limit reached!
% 0.56/0.45 % (582365)------------------------------
% 0.56/0.45 % (582365)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.45 % (582365)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.45 % (582365)CaDiCaL version: 2.1.3
% 0.56/0.45 % (582365)Termination reason: Instruction limit
% 0.56/0.45 % (582365)Termination phase: Property scanning
% 0.56/0.45 % (582365)Time elapsed: 0.037 s
% 0.56/0.45 % (582365)Peak memory usage: 12 MB
% 0.56/0.45 % (582365)Instructions burned: 77 (million)
% 0.56/0.45 % (582360)Instruction limit reached!
% 0.56/0.45 % (582360)------------------------------
% 0.56/0.45 % (582360)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.45 % (582360)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.45 % (582360)CaDiCaL version: 2.1.3
% 0.56/0.45 % (582360)Termination reason: Instruction limit
% 0.56/0.45 % (582360)Termination phase: Property scanning
% 0.56/0.45 % (582360)Time elapsed: 0.042 s
% 0.56/0.45 % (582360)Peak memory usage: 12 MB
% 0.56/0.45 % (582360)Instructions burned: 89 (million)
% 0.56/0.45 % (582378)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3923140414:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.56/0.45 % (582383)lrs+10_1_si=on:cs=on:random_seed=457083519:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.56/0.45 % (582378)Instruction limit reached!
% 0.56/0.45 % (582378)------------------------------
% 0.56/0.45 % (582378)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.45 % (582378)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.45 % (582378)CaDiCaL version: 2.1.3
% 0.56/0.45 % (582378)Termination reason: Instruction limit
% 0.56/0.45 % (582378)Termination phase: shuffling
% 0.56/0.45 % (582378)Time elapsed: 0.006 s
% 0.56/0.45 % (582378)Peak memory usage: 11 MB
% 0.56/0.45 % (582378)Instructions burned: 12 (million)
% 0.56/0.45 % (582383)Instruction limit reached!
% 0.56/0.45 % (582383)------------------------------
% 0.56/0.45 % (582383)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.45 % (582383)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.45 % (582383)CaDiCaL version: 2.1.3
% 0.56/0.45 % (582383)Termination reason: Instruction limit
% 0.56/0.45 % (582383)Termination phase: shuffling
% 0.56/0.45 % (582383)Time elapsed: 0.003 s
% 1.32/0.48 % (582383)Peak memory usage: 10 MB
% 1.32/0.48 % (582383)Instructions burned: 11 (million)
% 1.32/0.48 % (582381)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
% 1.32/0.48 % (582381)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.32/0.48 % (582384)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.32/0.48 % (582382)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=1645080142:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 1.32/0.48 % (582381)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1177103182:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 1.32/0.48 % (582384)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=4094384515:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 1.32/0.48 % (582384)Instruction limit reached!
% 1.32/0.48 % (582384)------------------------------
% 1.32/0.48 % (582384)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.32/0.48 % (582384)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.32/0.48 % (582384)CaDiCaL version: 2.1.3
% 1.32/0.48 % (582384)Termination reason: Instruction limit
% 1.32/0.48 % (582384)Termination phase: shuffling
% 1.32/0.48 % (582384)Time elapsed: 0.002 s
% 1.32/0.48 % (582384)Peak memory usage: 10 MB
% 1.32/0.48 % (582384)Instructions burned: 3 (million)
% 1.32/0.48 % (582389)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1723140895:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/25Mi)
% 1.32/0.48 % (582385)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=659309608:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 1.32/0.48 % (582389)Instruction limit reached!
% 1.32/0.48 % (582389)------------------------------
% 1.32/0.48 % (582389)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.32/0.48 % (582389)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.32/0.48 % (582389)CaDiCaL version: 2.1.3
% 1.32/0.48 % (582389)Termination reason: Instruction limit
% 1.32/0.48 % (582389)Termination phase: Property scanning
% 1.32/0.48 % (582389)Time elapsed: 0.007 s
% 1.32/0.48 % (582389)Peak memory usage: 10 MB
% 1.32/0.48 % (582389)Instructions burned: 29 (million)
% 1.32/0.48 % (582388)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=1131315851:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 1.32/0.48 % (582381)Instruction limit reached!
% 1.32/0.48 % (582381)------------------------------
% 1.32/0.48 % (582381)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.32/0.48 % (582381)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.32/0.48 % (582381)CaDiCaL version: 2.1.3
% 1.32/0.48 % (582381)Termination reason: Instruction limit
% 1.32/0.48 % (582381)Termination phase: shuffling
% 1.32/0.48 % (582381)Time elapsed: 0.014 s
% 1.32/0.48 % (582381)Peak memory usage: 10 MB
% 1.32/0.48 % (582381)Instructions burned: 29 (million)
% 1.32/0.48 % (582393)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=3288791663:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2999 on theBenchmark for (2999ds/14Mi)
% 1.32/0.48 % (582397)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1372755060:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.32/0.48 % (582385)Instruction limit reached!
% 1.32/0.48 % (582385)------------------------------
% 1.32/0.48 % (582385)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.32/0.48 % (582385)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.32/0.48 % (582385)CaDiCaL version: 2.1.3
% 1.32/0.48 % (582385)Termination reason: Instruction limit
% 1.32/0.48 % (582385)Termination phase: Preprocessing 3
% 1.32/0.48 % (582385)Time elapsed: 0.019 s
% 1.32/0.52 % (582385)Peak memory usage: 11 MB
% 1.32/0.52 % (582385)Instructions burned: 39 (million)
% 1.32/0.52 % (582393)Instruction limit reached!
% 1.32/0.52 % (582393)------------------------------
% 1.32/0.52 % (582393)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.32/0.52 % (582393)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.32/0.52 % (582393)CaDiCaL version: 2.1.3
% 1.32/0.52 % (582393)Termination reason: Instruction limit
% 1.32/0.52 % (582393)Termination phase: shuffling
% 1.32/0.52 % (582393)Time elapsed: 0.007 s
% 1.32/0.52 % (582393)Peak memory usage: 10 MB
% 1.32/0.52 % (582393)Instructions burned: 14 (million)
% 1.32/0.52 % (582398)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=2999624565:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.32/0.52 % (582382)Instruction limit reached!
% 1.32/0.52 % (582382)------------------------------
% 1.32/0.52 % (582382)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.32/0.52 % (582382)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.32/0.52 % (582382)CaDiCaL version: 2.1.3
% 1.32/0.52 % (582382)Termination reason: Instruction limit
% 1.32/0.52 % (582382)Termination phase: Property scanning
% 1.32/0.52 % (582382)Time elapsed: 0.038 s
% 1.32/0.52 % (582382)Peak memory usage: 11 MB
% 1.32/0.52 % (582382)Instructions burned: 86 (million)
% 1.32/0.52 % (582398)Instruction limit reached!
% 1.32/0.52 % (582398)------------------------------
% 1.32/0.52 % (582398)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.32/0.52 % (582398)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.32/0.52 % (582398)CaDiCaL version: 2.1.3
% 1.32/0.52 % (582398)Termination reason: Instruction limit
% 1.32/0.52 % (582398)Termination phase: shuffling
% 1.32/0.52 % (582398)Time elapsed: 0.007 s
% 1.32/0.52 % (582398)Peak memory usage: 10 MB
% 1.32/0.52 % (582398)Instructions burned: 14 (million)
% 1.32/0.52 % (582402)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=831491832: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)
% 1.32/0.52 % (582402)Instruction limit reached!
% 1.32/0.52 % (582402)------------------------------
% 1.32/0.52 % (582402)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.32/0.52 % (582402)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.32/0.52 % (582402)CaDiCaL version: 2.1.3
% 1.32/0.52 % (582402)Termination reason: Instruction limit
% 1.32/0.52 % (582402)Termination phase: shuffling
% 1.32/0.52 % (582402)Time elapsed: 0.002 s
% 1.32/0.52 % (582402)Peak memory usage: 10 MB
% 1.32/0.52 % (582402)Instructions burned: 3 (million)
% 1.32/0.52 % (582405)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3425437367:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.32/0.52 % (582409)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=3008906904:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.32/0.52 % (582410)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=4126008618:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.32/0.52 % (582405)Instruction limit reached!
% 1.32/0.52 % (582405)------------------------------
% 1.32/0.52 % (582405)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.32/0.52 % (582405)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.32/0.52 % (582405)CaDiCaL version: 2.1.3
% 1.32/0.52 % (582405)Termination reason: Instruction limit
% 1.32/0.52 % (582405)Termination phase: shuffling
% 1.32/0.52 % (582405)Time elapsed: 0.013 s
% 1.32/0.52 % (582405)Peak memory usage: 10 MB
% 1.32/0.52 % (582405)Instructions burned: 27 (million)
% 1.32/0.52 % (582414)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
% 1.32/0.52 % (582414)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.32/0.52 % (582414)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=3567089670:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.97/0.60 % (582409)Instruction limit reached!
% 1.97/0.60 % (582409)------------------------------
% 1.97/0.60 % (582409)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.97/0.60 % (582409)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.97/0.60 % (582409)CaDiCaL version: 2.1.3
% 1.97/0.60 % (582409)Termination reason: Instruction limit
% 1.97/0.60 % (582409)Termination phase: Property scanning
% 1.97/0.60 % (582409)Time elapsed: 0.012 s
% 1.97/0.60 % (582409)Peak memory usage: 10 MB
% 1.97/0.60 % (582409)Instructions burned: 24 (million)
% 1.97/0.60 % (582422)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.97/0.60 % (582414)Instruction limit reached!
% 1.97/0.60 % (582414)------------------------------
% 1.97/0.60 % (582414)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.97/0.60 % (582414)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.97/0.60 % (582414)CaDiCaL version: 2.1.3
% 1.97/0.60 % (582414)Termination reason: Instruction limit
% 1.97/0.60 % (582414)Termination phase: shuffling
% 1.97/0.60 % (582414)Time elapsed: 0.010 s
% 1.97/0.60 % (582414)Peak memory usage: 10 MB
% 1.97/0.60 % (582414)Instructions burned: 21 (million)
% 1.97/0.60 % (582422)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=119409626:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.97/0.60 % (582422)Instruction limit reached!
% 1.97/0.60 % (582422)------------------------------
% 1.97/0.60 % (582422)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.97/0.60 % (582422)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.97/0.60 % (582422)CaDiCaL version: 2.1.3
% 1.97/0.60 % (582422)Termination reason: Instruction limit
% 1.97/0.60 % (582422)Termination phase: shuffling
% 1.97/0.60 % (582422)Time elapsed: 0.005 s
% 1.97/0.60 % (582422)Peak memory usage: 10 MB
% 1.97/0.60 % (582422)Instructions burned: 9 (million)
% 1.97/0.60 % (582388)Refutation not found, incomplete strategy
% 1.97/0.60 % (582388)------------------------------
% 1.97/0.60 % (582388)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.97/0.60 % (582388)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.97/0.60 % (582388)CaDiCaL version: 2.1.3
% 1.97/0.60 % (582388)Termination reason: Refutation not found, incomplete strategy
% 1.97/0.60 % (582388)Time elapsed: 0.077 s
% 1.97/0.60 % (582388)Peak memory usage: 14 MB
% 1.97/0.60 % (582388)Instructions burned: 152 (million)
% 1.97/0.60 % (582431)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=4272429698:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.97/0.60 % (582388)------------------------------
% 1.97/0.60 % (582388)------------------------------
% 1.97/0.60 % (582410)Instruction limit reached!
% 1.97/0.60 % (582410)------------------------------
% 1.97/0.60 % (582410)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.97/0.60 % (582410)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.97/0.60 % (582410)CaDiCaL version: 2.1.3
% 1.97/0.60 % (582410)Termination reason: Instruction limit
% 1.97/0.60 % (582410)Termination phase: Property scanning
% 1.97/0.60 % (582410)Time elapsed: 0.032 s
% 1.97/0.60 % (582410)Peak memory usage: 12 MB
% 1.97/0.60 % (582410)Instructions burned: 61 (million)
% 1.97/0.60 % (582435)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=2319352904:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 1.97/0.60 % (582435)Instruction limit reached!
% 1.97/0.60 % (582435)------------------------------
% 1.97/0.60 % (582435)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.97/0.60 % (582435)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.97/0.60 % (582435)CaDiCaL version: 2.1.3
% 1.97/0.60 % (582435)Termination reason: Instruction limit
% 1.97/0.60 % (582435)Termination phase: shuffling
% 1.97/0.60 % (582435)Time elapsed: 0.004 s
% 1.97/0.60 % (582435)Peak memory usage: 10 MB
% 1.97/0.60 % (582435)Instructions burned: 7 (million)
% 1.97/0.60 % (582444)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=2786408675:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 2.38/0.67 % (582431)Instruction limit reached!
% 2.38/0.67 % (582431)------------------------------
% 2.38/0.67 % (582431)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.38/0.67 % (582431)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.38/0.67 % (582431)CaDiCaL version: 2.1.3
% 2.38/0.67 % (582431)Termination reason: Instruction limit
% 2.38/0.67 % (582431)Termination phase: shuffling
% 2.38/0.67 % (582431)Time elapsed: 0.015 s
% 2.38/0.67 % (582431)Peak memory usage: 10 MB
% 2.38/0.67 % (582431)Instructions burned: 32 (million)
% 2.38/0.67 % (582450)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=2043900456:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 2.38/0.67 % (582451)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=967851650:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 2.38/0.67 % (582444)Instruction limit reached!
% 2.38/0.67 % (582444)------------------------------
% 2.38/0.67 % (582444)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.38/0.67 % (582444)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.38/0.67 % (582444)CaDiCaL version: 2.1.3
% 2.38/0.67 % (582444)Termination reason: Instruction limit
% 2.38/0.67 % (582444)Termination phase: shuffling
% 2.38/0.67 % (582444)Time elapsed: 0.011 s
% 2.38/0.67 % (582444)Peak memory usage: 10 MB
% 2.38/0.67 % (582444)Instructions burned: 23 (million)
% 2.38/0.67 % (582397)Instruction limit reached!
% 2.38/0.67 % (582397)------------------------------
% 2.38/0.67 % (582397)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.38/0.67 % (582397)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.38/0.67 % (582397)CaDiCaL version: 2.1.3
% 2.38/0.67 % (582397)Termination reason: Instruction limit
% 2.38/0.67 % (582397)Termination phase: Saturation
% 2.38/0.67 % (582397)Time elapsed: 0.094 s
% 2.38/0.67 % (582397)Peak memory usage: 15 MB
% 2.38/0.67 % (582397)Instructions burned: 330 (million)
% 2.38/0.67 % (582458)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=2741463701:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/143Mi)
% 2.38/0.67 % (582450)Instruction limit reached!
% 2.38/0.67 % (582450)------------------------------
% 2.38/0.67 % (582450)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.38/0.67 % (582450)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.38/0.67 % (582450)CaDiCaL version: 2.1.3
% 2.38/0.67 % (582450)Termination reason: Instruction limit
% 2.38/0.67 % (582450)Termination phase: Property scanning
% 2.38/0.67 % (582450)Time elapsed: 0.011 s
% 2.38/0.67 % (582450)Peak memory usage: 10 MB
% 2.38/0.67 % (582450)Instructions burned: 22 (million)
% 2.38/0.67 % (582464)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=3212043306:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 2.38/0.67 % (582470)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.38/0.67 % (582470)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2255876905:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 2.38/0.67 % (582470)Instruction limit reached!
% 2.38/0.67 % (582470)------------------------------
% 2.38/0.67 % (582470)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.38/0.67 % (582470)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.38/0.67 % (582470)CaDiCaL version: 2.1.3
% 2.38/0.67 % (582470)Termination reason: Instruction limit
% 2.38/0.67 % (582470)Termination phase: shuffling
% 2.38/0.67 % (582470)Time elapsed: 0.002 s
% 2.38/0.67 % (582470)Peak memory usage: 10 MB
% 2.38/0.67 % (582470)Instructions burned: 8 (million)
% 2.38/0.67 % (582469)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=854333378:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 2.38/0.67 % (582474)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=2075932368:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 2.38/0.67 % (582479)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=2070714418: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)
% 2.72/0.74 % (582469)Instruction limit reached!
% 2.72/0.74 % (582469)------------------------------
% 2.72/0.74 % (582469)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.72/0.74 % (582469)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.72/0.74 % (582469)CaDiCaL version: 2.1.3
% 2.72/0.74 % (582469)Termination reason: Instruction limit
% 2.72/0.74 % (582469)Termination phase: Preprocessing 3
% 2.72/0.74 % (582469)Time elapsed: 0.021 s
% 2.72/0.74 % (582469)Peak memory usage: 11 MB
% 2.72/0.74 % (582469)Instructions burned: 42 (million)
% 2.72/0.74 % (582483)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.72/0.74 % (582483)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=3498214980:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 2.72/0.74 % (582483)Instruction limit reached!
% 2.72/0.74 % (582483)------------------------------
% 2.72/0.74 % (582483)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.72/0.74 % (582483)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.72/0.74 % (582483)CaDiCaL version: 2.1.3
% 2.72/0.74 % (582483)Termination reason: Instruction limit
% 2.72/0.74 % (582483)Termination phase: shuffling
% 2.72/0.74 % (582483)Time elapsed: 0.007 s
% 2.72/0.74 % (582483)Peak memory usage: 10 MB
% 2.72/0.74 % (582483)Instructions burned: 13 (million)
% 2.72/0.74 % (582458)Instruction limit reached!
% 2.72/0.74 % (582458)------------------------------
% 2.72/0.74 % (582458)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.72/0.74 % (582458)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.72/0.74 % (582458)CaDiCaL version: 2.1.3
% 2.72/0.74 % (582458)Termination reason: Instruction limit
% 2.72/0.74 % (582458)Termination phase: Saturation
% 2.72/0.74 % (582458)Time elapsed: 0.068 s
% 2.72/0.74 % (582458)Peak memory usage: 13 MB
% 2.72/0.74 % (582458)Instructions burned: 143 (million)
% 2.72/0.74 % (582479)Instruction limit reached!
% 2.72/0.74 % (582479)------------------------------
% 2.72/0.74 % (582479)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.72/0.74 % (582479)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.72/0.74 % (582479)CaDiCaL version: 2.1.3
% 2.72/0.74 % (582479)Termination reason: Instruction limit
% 2.72/0.74 % (582479)Termination phase: Saturation
% 2.72/0.74 % (582479)Time elapsed: 0.045 s
% 2.72/0.74 % (582479)Peak memory usage: 14 MB
% 2.72/0.74 % (582479)Instructions burned: 171 (million)
% 2.72/0.74 % (582487)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=3816020164:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/316Mi)
% 2.72/0.74 % (582485)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=3884830214:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2997 on theBenchmark for (2997ds/22Mi)
% 2.72/0.74 % (582486)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=2863428576:i=19:add=on:rtra=on_2997 on theBenchmark for (2997ds/19Mi)
% 2.72/0.74 % (582485)Instruction limit reached!
% 2.72/0.74 % (582485)------------------------------
% 2.72/0.74 % (582485)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.72/0.74 % (582485)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.72/0.74 % (582485)CaDiCaL version: 2.1.3
% 2.72/0.74 % (582485)Termination reason: Instruction limit
% 2.72/0.74 % (582485)Termination phase: Property scanning
% 2.72/0.74 % (582485)Time elapsed: 0.011 s
% 2.72/0.74 % (582485)Peak memory usage: 10 MB
% 2.72/0.74 % (582485)Instructions burned: 22 (million)
% 2.72/0.74 % (582486)Instruction limit reached!
% 2.72/0.74 % (582486)------------------------------
% 2.72/0.74 % (582486)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.72/0.74 % (582486)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.72/0.74 % (582486)CaDiCaL version: 2.1.3
% 2.72/0.74 % (582486)Termination reason: Instruction limit
% 2.72/0.74 % (582486)Termination phase: shuffling
% 2.72/0.74 % (582486)Time elapsed: 0.009 s
% 2.72/0.74 % (582486)Peak memory usage: 10 MB
% 2.72/0.74 % (582486)Instructions burned: 20 (million)
% 3.22/0.85 % (582464)Instruction limit reached!
% 3.22/0.85 % (582464)------------------------------
% 3.22/0.85 % (582464)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.22/0.85 % (582464)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.22/0.85 % (582464)CaDiCaL version: 2.1.3
% 3.22/0.85 % (582464)Termination reason: Instruction limit
% 3.22/0.85 % (582464)Termination phase: Saturation
% 3.22/0.85 % (582464)Time elapsed: 0.100 s
% 3.22/0.85 % (582464)Peak memory usage: 14 MB
% 3.22/0.85 % (582464)Instructions burned: 193 (million)
% 3.22/0.85 % (582491)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=3293807971:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2996 on theBenchmark for (2996ds/853Mi)
% 3.22/0.85 % (582492)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=3892818812: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)
% 3.22/0.85 % (582474)Instruction limit reached!
% 3.22/0.85 % (582474)------------------------------
% 3.22/0.85 % (582474)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.22/0.85 % (582474)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.22/0.85 % (582474)CaDiCaL version: 2.1.3
% 3.22/0.85 % (582474)Termination reason: Instruction limit
% 3.22/0.85 % (582474)Termination phase: Saturation
% 3.22/0.85 % (582474)Time elapsed: 0.094 s
% 3.22/0.85 % (582474)Peak memory usage: 14 MB
% 3.22/0.85 % (582474)Instructions burned: 182 (million)
% 3.22/0.85 % (582493)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=2743659725:i=480:rtra=on_2996 on theBenchmark for (2996ds/480Mi)
% 3.22/0.85 % (582496)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=2870477463: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)
% 3.22/0.85 % (582492)Instruction limit reached!
% 3.22/0.85 % (582492)------------------------------
% 3.22/0.85 % (582492)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.22/0.85 % (582492)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.22/0.85 % (582492)CaDiCaL version: 2.1.3
% 3.22/0.85 % (582492)Termination reason: Instruction limit
% 3.22/0.85 % (582492)Termination phase: Preprocessing 1
% 3.22/0.85 % (582492)Time elapsed: 0.022 s
% 3.22/0.85 % (582492)Peak memory usage: 11 MB
% 3.22/0.85 % (582492)Instructions burned: 47 (million)
% 3.22/0.85 % (582496)Instruction limit reached!
% 3.22/0.85 % (582496)------------------------------
% 3.22/0.85 % (582496)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.22/0.85 % (582496)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.22/0.85 % (582496)CaDiCaL version: 2.1.3
% 3.22/0.85 % (582496)Termination reason: Instruction limit
% 3.22/0.85 % (582496)Termination phase: Property scanning
% 3.22/0.85 % (582496)Time elapsed: 0.010 s
% 3.22/0.85 % (582496)Peak memory usage: 10 MB
% 3.22/0.85 % (582496)Instructions burned: 21 (million)
% 3.22/0.85 % (582499)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 3.22/0.85 % (582499)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=763134579:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/200Mi)
% 3.22/0.85 % (582363)Instruction limit reached!
% 3.22/0.85 % (582363)------------------------------
% 3.22/0.85 % (582363)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.22/0.85 % (582363)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.22/0.85 % (582363)CaDiCaL version: 2.1.3
% 3.22/0.85 % (582363)Termination reason: Instruction limit
% 3.22/0.85 % (582363)Termination phase: Saturation
% 3.22/0.85 % (582363)Time elapsed: 0.339 s
% 3.22/0.85 % (582363)Peak memory usage: 16 MB
% 3.22/0.85 % (582363)Instructions burned: 635 (million)
% 3.22/0.85 % (582500)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=2967415432:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2996 on theBenchmark for (2996ds/13Mi)
% 3.22/0.85 % (582487)Instruction limit reached!
% 3.22/0.85 % (582487)------------------------------
% 3.22/0.85 % (582487)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.22/0.85 % (582487)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.22/0.85 % (582487)CaDiCaL version: 2.1.3
% 3.22/0.85 % (582487)Termination reason: Instruction limit
% 3.22/0.85 % (582487)Termination phase: Saturation
% 3.22/0.85 % (582487)Time elapsed: 0.086 s
% 3.22/0.85 % (582487)Peak memory usage: 16 MB
% 3.22/0.85 % (582487)Instructions burned: 317 (million)
% 3.22/0.85 % (582500)Instruction limit reached!
% 3.22/0.85 % (582500)------------------------------
% 3.22/0.85 % (582500)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.22/0.85 % (582500)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.22/0.85 % (582500)CaDiCaL version: 2.1.3
% 3.22/0.85 % (582500)Termination reason: Instruction limit
% 3.22/0.85 % (582500)Termination phase: shuffling
% 3.22/0.85 % (582500)Time elapsed: 0.007 s
% 3.22/0.85 % (582500)Peak memory usage: 10 MB
% 3.22/0.85 % (582500)Instructions burned: 14 (million)
% 3.22/0.85 % (582504)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=2699560190:i=51:fsr=off:rtra=on_2996 on theBenchmark for (2996ds/51Mi)
% 3.22/0.85 % (582502)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=3709350991:i=66:s2at=3:nm=2:rtra=on:rawr=on_2996 on theBenchmark for (2996ds/66Mi)
% 3.22/0.85 % (582504)Instruction limit reached!
% 3.22/0.85 % (582504)------------------------------
% 3.22/0.85 % (582504)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.22/0.85 % (582504)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.22/0.85 % (582504)CaDiCaL version: 2.1.3
% 3.22/0.85 % (582504)Termination reason: Instruction limit
% 3.22/0.85 % (582504)Termination phase: Property scanning
% 3.22/0.85 % (582504)Time elapsed: 0.014 s
% 3.22/0.85 % (582504)Peak memory usage: 12 MB
% 3.22/0.85 % (582504)Instructions burned: 52 (million)
% 3.22/0.85 % (582505)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=736291062:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/31Mi)
% 3.22/0.85 % (582505)Instruction limit reached!
% 3.22/0.85 % (582505)------------------------------
% 3.22/0.85 % (582505)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.22/0.85 % (582505)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.22/0.85 % (582505)CaDiCaL version: 2.1.3
% 3.22/0.85 % (582505)Termination reason: Instruction limit
% 3.22/0.85 % (582505)Termination phase: shuffling
% 3.22/0.85 % (582505)Time elapsed: 0.015 s
% 3.22/0.85 % (582505)Peak memory usage: 10 MB
% 3.22/0.85 % (582505)Instructions burned: 32 (million)
% 3.22/0.85 % (582502)Instruction limit reached!
% 3.22/0.85 % (582502)------------------------------
% 3.22/0.85 % (582502)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.22/0.85 % (582502)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.22/0.85 % (582502)CaDiCaL version: 2.1.3
% 3.22/0.85 % (582502)Termination reason: Instruction limit
% 3.22/0.85 % (582502)Termination phase: SInE selection
% 3.22/0.85 % (582502)Time elapsed: 0.025 s
% 3.22/0.85 % (582502)Peak memory usage: 11 MB
% 3.22/0.85 % (582502)Instructions burned: 66 (million)
% 3.22/0.85 % (582509)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=2753742032:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2995 on theBenchmark for (2995ds/137Mi)
% 3.22/0.85 % (582511)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=812959984:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2995 on theBenchmark for (2995ds/67Mi)
% 3.22/0.85 % (582510)dis+10_2_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_pi_sigma_gen:si=on:sp=occurrence:plsqr=5,1:bsr=on:plsql=on:random_seed=2955365907:cond=on:i=34:hud=10:nm=10:rtra=on_2995 on theBenchmark for (2995ds/34Mi)
% 3.22/0.85 % (582511)Instruction limit reached!
% 3.22/0.85 % (582511)------------------------------
% 3.22/0.85 % (582511)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.22/0.85 % (582511)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.22/0.85 % (582511)CaDiCaL version: 2.1.3
% 3.22/0.85 % (582511)Termination reason: Instruction limit
% 3.22/0.85 % (582511)Termination phase: Property scanning
% 3.22/0.85 % (582511)Time elapsed: 0.017 s
% 3.22/0.85 % (582511)Peak memory usage: 12 MB
% 3.22/0.85 % (582511)Instructions burned: 69 (million)
% 3.22/0.85 % (582510)Instruction limit reached!
% 3.22/0.85 % (582510)------------------------------
% 3.22/0.85 % (582510)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.22/0.85 % (582510)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.22/0.85 % (582510)CaDiCaL version: 2.1.3
% 3.22/0.85 % (582510)Termination reason: Instruction limit
% 3.22/0.85 % (582510)Termination phase: Property scanning
% 3.22/0.85 % (582510)Time elapsed: 0.016 s
% 3.22/0.85 % (582510)Peak memory usage: 11 MB
% 3.22/0.85 % (582510)Instructions burned: 35 (million)
% 3.22/0.85 % (582515)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 3.22/0.85 % (582515)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=3832257774:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2995 on theBenchmark for (2995ds/180Mi)
% 3.22/0.85 % (582499)Instruction limit reached!
% 3.22/0.85 % (582499)------------------------------
% 3.22/0.85 % (582499)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.22/0.85 % (582499)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.22/0.85 % (582499)CaDiCaL version: 2.1.3
% 3.22/0.85 % (582499)Termination reason: Instruction limit
% 3.22/0.85 % (582499)Termination phase: Saturation
% 3.22/0.85 % (582499)Time elapsed: 0.090 s
% 3.22/0.85 % (582499)Peak memory usage: 13 MB
% 3.22/0.85 % (582499)Instructions burned: 202 (million)
% 3.22/0.85 % (582516)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=3800315403:st=2:i=246:sd=3:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/246Mi)
% 3.22/0.85 % (582518)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=3648945396:cond=on:i=96:bd=all:rtra=on_2995 on theBenchmark for (2995ds/96Mi)
% 3.22/0.85 % (582509)Instruction limit reached!
% 3.22/0.85 % (582509)------------------------------
% 3.22/0.85 % (582509)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.22/0.85 % (582509)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.22/0.85 % (582509)CaDiCaL version: 2.1.3
% 3.22/0.85 % (582509)Termination reason: Instruction limit
% 3.22/0.85 % (582509)Termination phase: Saturation
% 3.22/0.85 % (582509)Time elapsed: 0.064 s
% 3.22/0.85 % (582509)Peak memory usage: 13 MB
% 3.22/0.85 % (582509)Instructions burned: 138 (million)
% 3.22/0.85 % (582515)Instruction limit reached!
% 3.22/0.85 % (582515)------------------------------
% 3.22/0.85 % (582515)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.22/0.85 % (582515)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.22/0.85 % (582515)CaDiCaL version: 2.1.3
% 3.22/0.85 % (582515)Termination reason: Instruction limit
% 3.22/0.85 % (582515)Termination phase: Saturation
% 3.22/0.85 % (582515)Time elapsed: 0.041 s
% 3.22/0.85 % (582515)Peak memory usage: 13 MB
% 3.22/0.85 % (582515)Instructions burned: 182 (million)
% 3.22/0.85 % (582521)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=3109128476:i=427:sd=1:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/427Mi)
% 3.22/0.85 % (582522)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=359441951:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/874Mi)
% 3.22/0.85 % (582518)Instruction limit reached!
% 3.22/0.85 % (582518)------------------------------
% 3.22/0.85 % (582518)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.22/0.85 % (582518)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.22/0.85 % (582518)CaDiCaL version: 2.1.3
% 3.22/0.85 % (582518)Termination reason: Instruction limit
% 3.22/0.85 % (582518)Termination phase: Saturation
% 3.22/0.85 % (582518)Time elapsed: 0.044 s
% 3.22/0.85 % (582518)Peak memory usage: 13 MB
% 3.22/0.85 % (582518)Instructions burned: 96 (million)
% 3.22/0.85 % (582525)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=552433927:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/515Mi)
% 3.22/0.85 % (582521) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-582347-582521"...
% 3.22/0.85 % (582521)...printing done.
% 3.22/0.85 % (582521)Refutation found. Thanks to Tanya!
% 3.22/0.85 % SZS status Theorem for theBenchmark
% 3.22/0.85 % SZS output start Proof for theBenchmark
% 3.22/0.85 thf(type_def_5, type, poly: $tType > $tType).
% 3.22/0.85 thf(type_def_6, type, real: $tType).
% 3.22/0.85 thf(type_def_7, type, set: $tType > $tType).
% 3.22/0.85 thf(type_def_8, type, nat: $tType).
% 3.22/0.85 thf(type_def_9, type, int: $tType).
% 3.22/0.85 thf(type_def_10, type, sTfun: ($tType * $tType) > $tType).
% 3.22/0.85 thf(func_def_0, type, idom: !>[X0: $tType]:($o)).
% 3.22/0.85 thf(func_def_1, type, type: !>[X0: $tType]:($o)).
% 3.22/0.85 thf(func_def_2, type, one: !>[X0: $tType]:($o)).
% 3.22/0.85 thf(func_def_3, type, zero: !>[X0: $tType]:($o)).
% 3.22/0.85 thf(func_def_4, type, ord: !>[X0: $tType]:($o)).
% 3.22/0.85 thf(func_def_5, type, ring_char_0: !>[X0: $tType]:($o)).
% 3.22/0.85 thf(func_def_6, type, order: !>[X0: $tType]:($o)).
% 3.22/0.85 thf(func_def_7, type, no_bot: !>[X0: $tType]:($o)).
% 3.22/0.85 thf(func_def_8, type, no_top: !>[X0: $tType]:($o)).
% 3.22/0.85 thf(func_def_9, type, finite_finite: !>[X0: $tType]:($o)).
% 3.22/0.85 thf(func_def_10, type, comm_ring_1: !>[X0: $tType]:($o)).
% 3.22/0.85 thf(func_def_11, type, linorder: !>[X0: $tType]:($o)).
% 3.22/0.85 thf(func_def_12, type, preorder: !>[X0: $tType]:($o)).
% 3.22/0.85 thf(func_def_13, type, wellorder: !>[X0: $tType]:($o)).
% 3.22/0.85 thf(func_def_14, type, zero_less_one: !>[X0: $tType]:($o)).
% 3.22/0.85 thf(func_def_15, type, dense_order: !>[X0: $tType]:($o)).
% 3.22/0.85 thf(func_def_16, type, comm_semiring_0: !>[X0: $tType]:($o)).
% 3.22/0.85 thf(func_def_17, type, comm_semiring_1: !>[X0: $tType]:($o)).
% 3.22/0.85 thf(func_def_18, type, linordered_idom: !>[X0: $tType]:($o)).
% 3.22/0.85 thf(func_def_19, type, comm_monoid_add: !>[X0: $tType]:($o)).
% 3.22/0.85 thf(func_def_20, type, linordered_field: !>[X0: $tType]:($o)).
% 3.22/0.85 thf(func_def_21, type, dense_linorder: !>[X0: $tType]:($o)).
% 3.22/0.85 thf(func_def_22, type, ring_n68954251visors: !>[X0: $tType]:($o)).
% 3.22/0.85 thf(func_def_23, type, ordere216010020id_add: !>[X0: $tType]:($o)).
% 3.22/0.85 thf(func_def_24, type, linord1659791738miring: !>[X0: $tType]:($o)).
% 3.22/0.85 thf(func_def_25, type, canoni770627133id_add: !>[X0: $tType]:($o)).
% 3.22/0.85 thf(func_def_26, type, ordere1818651114id_add: !>[X0: $tType]:($o)).
% 3.22/0.85 thf(func_def_27, type, condit1656338222tinuum: !>[X0: $tType]:($o)).
% 3.22/0.85 thf(func_def_28, type, condit1037483654norder: !>[X0: $tType]:($o)).
% 3.22/0.85 thf(func_def_29, type, finite_finite2: !>[X0: $tType]:((set @ X0 > $o))).
% 3.22/0.85 thf(func_def_30, type, one_one: !>[X0: $tType]:(X0)).
% 3.22/0.85 thf(func_def_31, type, zero_zero: !>[X0: $tType]:(X0)).
% 3.22/0.85 thf(func_def_32, type, groups1340683514dd_sum: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > X1))).
% 3.22/0.85 thf(func_def_33, type, if: !>[X0: $tType]:(($o > X0 > X0 > X0))).
% 3.22/0.85 thf(func_def_34, type, ord_less: !>[X0: $tType]:((X0 > X0 > $o))).
% 3.22/0.85 thf(func_def_35, type, ord_less_eq: !>[X0: $tType]:((X0 > X0 > $o))).
% 3.22/0.85 thf(func_def_36, type, is_zero: !>[X0: $tType]:((poly @ X0 > $o))).
% 3.22/0.85 thf(func_def_37, type, poly2: !>[X0: $tType]:((poly @ X0 > X0 > X0))).
% 3.22/0.85 thf(func_def_38, type, poly_cutoff: !>[X0: $tType]:((nat > poly @ X0 > poly @ X0))).
% 3.22/0.85 thf(func_def_39, type, reflect_poly: !>[X0: $tType]:((poly @ X0 > poly @ X0))).
% 3.22/0.85 thf(func_def_40, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 3.22/0.85 thf(func_def_41, type, sturm_1539314049x_poly: (real > real > poly @ real > poly @ real > int)).
% 3.22/0.85 thf(func_def_42, type, sturm_424270202_cross: (poly @ real > real > real > int)).
% 3.22/0.85 thf(func_def_43, type, sturm_652470720p_poly: (poly @ real > poly @ real > real > int)).
% 3.22/0.85 thf(func_def_44, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 3.22/0.85 thf(func_def_45, type, a: real).
% 3.22/0.85 thf(func_def_46, type, a2: real).
% 3.22/0.85 thf(func_def_47, type, b: real).
% 3.22/0.85 thf(func_def_48, type, b2: real).
% 3.22/0.85 thf(func_def_49, type, p: poly @ real).
% 3.22/0.85 thf(func_def_53, type, db0: !>[X0: $tType]:(X0)).
% 3.22/0.85 thf(func_def_54, type, db2: !>[X0: $tType]:(X0)).
% 3.22/0.85 thf(func_def_55, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 3.22/0.85 thf(func_def_56, type, db1: !>[X0: $tType]:(X0)).
% 3.22/0.85 thf(func_def_57, type, vAND: ($o > $o > $o)).
% 3.22/0.85 thf(func_def_58, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 3.22/0.85 thf(func_def_59, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 3.22/0.85 thf(func_def_60, type, vIMP: ($o > $o > $o)).
% 3.22/0.85 thf(func_def_61, type, vNOT: ($o > $o)).
% 3.22/0.85 thf(func_def_62, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 3.22/0.85 thf(func_def_63, type, db3: !>[X0: $tType]:(X0)).
% 3.22/0.85 thf(func_def_64, type, db4: !>[X0: $tType]:(X0)).
% 3.22/0.85 thf(func_def_65, type, vOR: ($o > $o > $o)).
% 3.22/0.85 thf(func_def_66, type, sK0: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > (X0 > $o) > (X0 > $o) > X0))).
% 3.22/0.85 thf(func_def_67, type, sK1: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 3.22/0.85 thf(func_def_68, type, sK2: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 3.22/0.85 thf(func_def_69, type, sK3: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > set @ X0 > X0))).
% 3.22/0.85 thf(func_def_70, type, sK4: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > set @ X0 > X0 > X1))).
% 3.22/0.85 thf(func_def_71, type, sK5: (real > poly @ real > real > real)).
% 3.22/0.85 thf(func_def_72, type, sK6: !>[X0: $tType]:((set @ X0 > X0 > X0))).
% 3.22/0.85 thf(func_def_73, type, sK7: (real > poly @ real > real)).
% 3.22/0.85 thf(func_def_74, type, sK8: (real > poly @ real > real)).
% 3.22/0.85 thf(func_def_75, type, sK9: !>[X0: $tType]:((set @ X0 > X0 > X0))).
% 3.22/0.85 thf(func_def_76, type, sK10: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 3.22/0.85 thf(func_def_77, type, sK11: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 3.22/0.85 thf(func_def_78, type, sK12: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > X0 > $o) > set @ X0 > X0))).
% 3.22/0.85 thf(func_def_79, type, sK13: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > X0 > $o) > set @ X0 > X1))).
% 3.22/0.85 thf(func_def_80, type, sK14: !>[X0: $tType]:(((set @ X0 > $o) > set @ X0))).
% 3.22/0.85 thf(func_def_81, type, sK15: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 3.22/0.85 thf(func_def_82, type, sK16: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 3.22/0.85 thf(func_def_83, type, sK17: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > (X0 > $o) > (X0 > $o) > X0))).
% 3.22/0.85 thf(func_def_84, type, sK18: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 3.22/0.85 thf(func_def_85, type, sK19: (real > poly @ real > real > real)).
% 3.22/0.85 thf(func_def_86, type, sK20: !>[X0: $tType]:(((X0 > $o) > X0))).
% 3.22/0.85 thf(f1,axiom,(
% 3.22/0.85 (finite_finite2 @ real @ (collect @ real @ (^[X2 : real] : ((((poly2 @ real @ p @ X2)) = zero_zero @ real)))))),
% 3.22/0.85 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0__092_060open_062finite_A_123x_O_Apoly_Ap_Ax_A_061_A0_125_092_060close_062)).
% 3.22/0.85 thf(f53,axiom,(
% 3.22/0.85 ! [X0 : $tType,X1 : set @ X0,X2 : set @ X0] : ((ord_less_eq @ set @ X0 @ X1 @ X2) => ((finite_finite2 @ X0 @ X2) => (finite_finite2 @ X0 @ X1)))),
% 3.22/0.85 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_52_finite__subset)).
% 3.22/0.85 thf(f167,axiom,(
% 3.22/0.85 ! [X0 : $tType,X2 : (X0 > $o),X1 : (X0 > $o)] : (! [X3 : X0] : ((X1 @ X3) => (X2 @ X3)) => (ord_less_eq @ set @ X0 @ (collect @ X0 @ X1) @ (collect @ X0 @ X2)))),
% 3.22/0.85 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_166_Collect__mono)).
% 3.22/0.85 thf(f352,conjecture,(
% 3.22/0.85 (finite_finite2 @ real @ (collect @ real @ (^[X0 : real] : ((ord_less @ real @ X0 @ b) & (ord_less @ real @ a @ X0) & (((poly2 @ real @ p @ X0)) = zero_zero @ real)))))),
% 3.22/0.85 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)).
% 3.22/0.85 thf(f353,negated_conjecture,(
% 3.22/0.85 ~(finite_finite2 @ real @ (collect @ real @ (^[X0 : real] : ((ord_less @ real @ X0 @ b) & (ord_less @ real @ a @ X0) & (((poly2 @ real @ p @ X0)) = zero_zero @ real)))))),
% 3.22/0.85 inference(negated_conjecture,[status(cth)],[f352])).
% 3.22/0.85 thf(f595,plain,(
% 3.22/0.85 ! [X0 : $tType,X1 : (X0 > $o),X2 : (X0 > $o)] : (! [X3 : X0] : ((X2 @ X3) => (X1 @ X3)) => (ord_less_eq @ set @ X0 @ (collect @ X0 @ X2) @ (collect @ X0 @ X1)))),
% 3.22/0.85 inference(rectify,[],[f167])).
% 3.22/0.85 thf(f596,plain,(
% 3.22/0.85 ! [X0 : $tType,X2 : (X0 > $o),X1 : (X0 > $o)] : (! [X3 : X0] : ((((X2 @ X3)) = $true) => (((X1 @ X3)) = $true)) => ($true = ((ord_less_eq @ set @ X0 @ (collect @ X0 @ X2) @ (collect @ X0 @ X1)))))),
% 3.22/0.85 inference(fool_elimination,[],[f595])).
% 3.22/0.85 thf(f605,plain,(
% 3.22/0.85 ! [X0 : $tType,X1 : set @ X0,X2 : set @ X0] : ((ord_less_eq @ set @ X0 @ X1 @ X2) => ((finite_finite2 @ X0 @ X2) => (finite_finite2 @ X0 @ X1)))),
% 3.22/0.85 inference(rectify,[],[f53])).
% 3.22/0.85 thf(f606,plain,(
% 3.22/0.85 ! [X0 : $tType,X1 : set @ X0,X2 : set @ X0] : ((((ord_less_eq @ set @ X0 @ X1 @ X2)) = $true) => ((((finite_finite2 @ X0 @ X2)) = $true) => (((finite_finite2 @ X0 @ X1)) = $true)))),
% 3.22/0.85 inference(fool_elimination,[],[f605])).
% 3.22/0.85 thf(f731,plain,(
% 3.22/0.85 ~(finite_finite2 @ real @ (collect @ real @ (^[X0 : real] : ((ord_less @ real @ X0 @ b) & (ord_less @ real @ a @ X0) & (((poly2 @ real @ p @ X0)) = zero_zero @ real)))))),
% 3.22/0.85 inference(rectify,[],[f353])).
% 3.22/0.85 thf(f732,plain,(
% 3.22/0.85 ~ ($true = ((finite_finite2 @ real @ (collect @ real @ (^[Y0 : real]: (((zero_zero @ real = (poly2 @ real @ p @ Y0)) & (ord_less @ real @ a @ Y0)) & (ord_less @ real @ Y0 @ b)))))))),
% 3.22/0.85 inference(fool_elimination,[],[f731])).
% 3.22/0.85 thf(f851,plain,(
% 3.22/0.85 (finite_finite2 @ real @ (collect @ real @ (^[X0 : real] : ((zero_zero @ real = ((poly2 @ real @ p @ X0)))))))),
% 3.22/0.85 inference(rectify,[],[f1])).
% 3.22/0.85 thf(f852,plain,(
% 3.22/0.85 ($true = ((finite_finite2 @ real @ (collect @ real @ (^[Y0 : real]: (zero_zero @ real = (poly2 @ real @ p @ Y0)))))))),
% 3.22/0.85 inference(fool_elimination,[],[f851])).
% 3.22/0.85 thf(f1035,plain,(
% 3.22/0.85 ($true != ((finite_finite2 @ real @ (collect @ real @ (^[Y0 : real]: (((zero_zero @ real = (poly2 @ real @ p @ Y0)) & (ord_less @ real @ a @ Y0)) & (ord_less @ real @ Y0 @ b)))))))),
% 3.22/0.85 inference(flattening,[],[f732])).
% 3.22/0.85 thf(f1061,plain,(
% 3.22/0.85 ! [X0 : $tType,X1 : (X0 > $o),X2 : (X0 > $o)] : (($true = ((ord_less_eq @ set @ X0 @ (collect @ X0 @ X2) @ (collect @ X0 @ X1)))) | ? [X3 : X0] : ((((X2 @ X3)) = $true) & (((X1 @ X3)) != $true)))),
% 3.22/0.85 inference(ennf_transformation,[],[f596])).
% 3.22/0.85 thf(f1084,plain,(
% 3.22/0.85 ! [X0 : $tType,X1 : set @ X0,X2 : set @ X0] : (((((finite_finite2 @ X0 @ X1)) = $true) | (((finite_finite2 @ X0 @ X2)) != $true)) | (((ord_less_eq @ set @ X0 @ X1 @ X2)) != $true))),
% 3.22/0.85 inference(ennf_transformation,[],[f606])).
% 3.22/0.85 thf(f1085,plain,(
% 3.22/0.85 ! [X0 : $tType,X2 : set @ X0,X1 : set @ X0] : ((((finite_finite2 @ X0 @ X2)) != $true) | (((ord_less_eq @ set @ X0 @ X1 @ X2)) != $true) | (((finite_finite2 @ X0 @ X1)) = $true))),
% 3.22/0.85 inference(flattening,[],[f1084])).
% 3.22/0.85 thf(f1107,plain,(
% 3.22/0.85 ! [X0 : $tType,X1 : set @ X0,X2 : set @ X0] : ((((finite_finite2 @ X0 @ X1)) != $true) | (((ord_less_eq @ set @ X0 @ X2 @ X1)) != $true) | (((finite_finite2 @ X0 @ X2)) = $true))),
% 3.22/0.85 inference(rectify,[],[f1085])).
% 3.22/0.85 thf(f1122,plain,(
% 3.22/0.85 ! [X0 : $tType,X1 : (X0 > $o),X2 : (X0 > $o)] : (($true = ((ord_less_eq @ set @ X0 @ (collect @ X0 @ X2) @ (collect @ X0 @ X1)))) | (($true = ((X2 @ (sK11 @ X0 @ X2 @ X1)))) & ($true != ((X1 @ (sK11 @ X0 @ X2 @ X1))))))),
% 3.22/0.85 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP]),skolemize(X10,sK2 @ X0 @ X9 @ X4 @ X2)],[f1061])).
% 3.22/0.85 thf(f1156,plain,(
% 3.22/0.85 ( ! [X0 : $tType,X2 : set @ X0,X1 : set @ X0] : ((((ord_less_eq @ set @ X0 @ X2 @ X1)) != $true) | (((finite_finite2 @ X0 @ X1)) != $true) | (((finite_finite2 @ X0 @ X2)) = $true)) )),
% 3.22/0.85 inference(cnf_transformation,[],[f1107])).
% 3.22/0.85 thf(f1165,plain,(
% 3.22/0.85 ($true != ((finite_finite2 @ real @ (collect @ real @ (^[Y0 : real]: (((zero_zero @ real = (poly2 @ real @ p @ Y0)) & (ord_less @ real @ a @ Y0)) & (ord_less @ real @ Y0 @ b)))))))),
% 3.22/0.85 inference(cnf_transformation,[],[f1035])).
% 3.22/0.85 thf(f1184,plain,(
% 3.22/0.85 ( ! [X0 : $tType,X2 : (X0 > $o),X1 : (X0 > $o)] : (($true != ((X1 @ (sK11 @ X0 @ X2 @ X1)))) | ($true = ((ord_less_eq @ set @ X0 @ (collect @ X0 @ X2) @ (collect @ X0 @ X1))))) )),
% 3.22/0.85 inference(cnf_transformation,[],[f1122])).
% 3.22/0.85 thf(f1185,plain,(
% 3.22/0.85 ( ! [X0 : $tType,X2 : (X0 > $o),X1 : (X0 > $o)] : (($true = ((ord_less_eq @ set @ X0 @ (collect @ X0 @ X2) @ (collect @ X0 @ X1)))) | ($true = ((X2 @ (sK11 @ X0 @ X2 @ X1))))) )),
% 3.22/0.85 inference(cnf_transformation,[],[f1122])).
% 3.22/0.85 thf(f1189,plain,(
% 3.22/0.85 ($true = ((finite_finite2 @ real @ (collect @ real @ (^[Y0 : real]: (zero_zero @ real = (poly2 @ real @ p @ Y0)))))))),
% 3.22/0.85 inference(cnf_transformation,[],[f852])).
% 3.22/0.85 thf(f1236,plain,(
% 3.22/0.85 ($true != ((ord_less_eq @ set @ real @ (collect @ real @ (^[Y0 : real]: (((zero_zero @ real = (poly2 @ real @ p @ Y0)) & (ord_less @ real @ a @ Y0)) & (ord_less @ real @ Y0 @ b)))) @ (collect @ real @ (^[Y0 : real]: (zero_zero @ real = (poly2 @ real @ p @ Y0)))))))),
% 3.22/0.85 inference(unit_resulting_resolution,[],[f1156,f1189,f1165])).
% 3.22/0.85 thf(f1351,plain,(
% 3.22/0.85 ($true = (((^[Y0 : real]: (((zero_zero @ real = (poly2 @ real @ p @ Y0)) & (ord_less @ real @ a @ Y0)) & (ord_less @ real @ Y0 @ b))) @ (sK11 @ real @ (^[Y0 : real]: (((zero_zero @ real = (poly2 @ real @ p @ Y0)) & (ord_less @ real @ a @ Y0)) & (ord_less @ real @ Y0 @ b))) @ (^[Y0 : real]: (zero_zero @ real = (poly2 @ real @ p @ Y0)))))))),
% 3.22/0.85 inference(unit_resulting_resolution,[],[f1185,f1236])).
% 3.22/0.85 thf(f1352,plain,(
% 3.22/0.85 ($true != (((^[Y0 : real]: (zero_zero @ real = (poly2 @ real @ p @ Y0))) @ (sK11 @ real @ (^[Y0 : real]: (((zero_zero @ real = (poly2 @ real @ p @ Y0)) & (ord_less @ real @ a @ Y0)) & (ord_less @ real @ Y0 @ b))) @ (^[Y0 : real]: (zero_zero @ real = (poly2 @ real @ p @ Y0)))))))),
% 3.22/0.85 inference(unit_resulting_resolution,[],[f1184,f1236])).
% 3.22/0.85 thf(f1391,plain,(
% 3.22/0.85 ($true != ((zero_zero @ real = (poly2 @ real @ p @ (sK11 @ real @ (^[Y0 : real]: (((zero_zero @ real = (poly2 @ real @ p @ Y0)) & (ord_less @ real @ a @ Y0)) & (ord_less @ real @ Y0 @ b))) @ (^[Y0 : real]: (zero_zero @ real = (poly2 @ real @ p @ Y0))))))))),
% 3.22/0.85 inference(beta-eta_normalization,[],[f1352])).
% 3.22/0.85 thf(f1392,plain,(
% 3.22/0.85 (zero_zero @ real != ((poly2 @ real @ p @ (sK11 @ real @ (^[Y0 : real]: (((zero_zero @ real = (poly2 @ real @ p @ Y0)) & (ord_less @ real @ a @ Y0)) & (ord_less @ real @ Y0 @ b))) @ (^[Y0 : real]: (zero_zero @ real = (poly2 @ real @ p @ Y0)))))))),
% 3.22/0.85 inference(equality_proxy_clausification,[],[f1391])).
% 3.22/0.85 thf(f1394,plain,(
% 3.22/0.85 ($true = ((((zero_zero @ real = (poly2 @ real @ p @ (sK11 @ real @ (^[Y0 : real]: (((zero_zero @ real = (poly2 @ real @ p @ Y0)) & (ord_less @ real @ a @ Y0)) & (ord_less @ real @ Y0 @ b))) @ (^[Y0 : real]: (zero_zero @ real = (poly2 @ real @ p @ Y0)))))) & (ord_less @ real @ a @ (sK11 @ real @ (^[Y0 : real]: (((zero_zero @ real = (poly2 @ real @ p @ Y0)) & (ord_less @ real @ a @ Y0)) & (ord_less @ real @ Y0 @ b))) @ (^[Y0 : real]: (zero_zero @ real = (poly2 @ real @ p @ Y0)))))) & (ord_less @ real @ (sK11 @ real @ (^[Y0 : real]: (((zero_zero @ real = (poly2 @ real @ p @ Y0)) & (ord_less @ real @ a @ Y0)) & (ord_less @ real @ Y0 @ b))) @ (^[Y0 : real]: (zero_zero @ real = (poly2 @ real @ p @ Y0)))) @ b))))),
% 3.22/0.85 inference(beta-eta_normalization,[],[f1351])).
% 3.22/0.85 thf(f1396,plain,(
% 3.22/0.85 ($true = (((zero_zero @ real = (poly2 @ real @ p @ (sK11 @ real @ (^[Y0 : real]: (((zero_zero @ real = (poly2 @ real @ p @ Y0)) & (ord_less @ real @ a @ Y0)) & (ord_less @ real @ Y0 @ b))) @ (^[Y0 : real]: (zero_zero @ real = (poly2 @ real @ p @ Y0)))))) & (ord_less @ real @ a @ (sK11 @ real @ (^[Y0 : real]: (((zero_zero @ real = (poly2 @ real @ p @ Y0)) & (ord_less @ real @ a @ Y0)) & (ord_less @ real @ Y0 @ b))) @ (^[Y0 : real]: (zero_zero @ real = (poly2 @ real @ p @ Y0))))))))),
% 3.22/0.85 inference(and_proxy_clausification,[],[f1394])).
% 3.22/0.85 thf(f1398,plain,(
% 3.22/0.85 ($true = ((zero_zero @ real = (poly2 @ real @ p @ (sK11 @ real @ (^[Y0 : real]: (((zero_zero @ real = (poly2 @ real @ p @ Y0)) & (ord_less @ real @ a @ Y0)) & (ord_less @ real @ Y0 @ b))) @ (^[Y0 : real]: (zero_zero @ real = (poly2 @ real @ p @ Y0))))))))),
% 3.22/0.85 inference(and_proxy_clausification,[],[f1396])).
% 3.22/0.85 thf(f1399,plain,(
% 3.22/0.85 (zero_zero @ real = ((poly2 @ real @ p @ (sK11 @ real @ (^[Y0 : real]: (((zero_zero @ real = (poly2 @ real @ p @ Y0)) & (ord_less @ real @ a @ Y0)) & (ord_less @ real @ Y0 @ b))) @ (^[Y0 : real]: (zero_zero @ real = (poly2 @ real @ p @ Y0)))))))),
% 3.22/0.85 inference(equality_proxy_clausification,[],[f1398])).
% 3.22/0.85 thf(f1422,plain,(
% 3.22/0.85 $false),
% 3.22/0.85 inference(forward_subsumption_resolution,[],[f1399,f1392])).
% 3.22/0.85 % SZS output end Proof for theBenchmark
% 3.22/0.85 % (582521)------------------------------
% 3.22/0.85 % (582521)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.22/0.85 % (582521)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.22/0.85 % (582521)CaDiCaL version: 2.1.3
% 3.22/0.85 % (582521)Termination reason: Refutation
% 3.22/0.85 % (582521)Time elapsed: 0.048 s
% 3.22/0.85 % (582521)Peak memory usage: 14 MB
% 3.22/0.85 % (582521)Instructions burned: 93 (million)
% 3.22/0.85 % (582347)Success in time 0.56 s
% 3.22/0.85 % Vampire exiting
%------------------------------------------------------------------------------