%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP194^2 : 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 : n007.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 08:08:46 AM UTC 2026
% Result : Theorem 1.28s 0.52s
% Output : Refutation 1.28s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ITP194^2 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.18 % Computer : n007.cluster.edu
% 0.12/0.18 % Model : x86_64 x86_64
% 0.12/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.18 % Memory : 8046.5625MB
% 0.12/0.18 % OS : Linux 6.8.0-71-generic
% 0.12/0.18 % CPULimit : 300
% 0.12/0.18 % WCLimit : 300
% 0.12/0.18 % DateTime : Tue Sep 29 20:08:11 UTC 2026
% 0.12/0.18 % CPUTime :
% 0.12/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.22 Running higher-order theorem proving
% 0.12/0.27 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
% 0.52/0.43 % (3868898)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.52/0.43 % (3868906)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=2651550275: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)
% 0.52/0.43 % (3868903)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3705148191:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.52/0.43 % (3868904)lrs+10_16_si=on:nwc=1.5:random_seed=279044078:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.52/0.43 % (3868905)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1556871844:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.52/0.43 % (3868909)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.52/0.43 % (3868909)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
% 0.52/0.43 % (3868905)Instruction limit reached!
% 0.52/0.43 % (3868905)------------------------------
% 0.52/0.43 % (3868905)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.43 % (3868905)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.43 % (3868905)CaDiCaL version: 2.1.3
% 0.52/0.43 % (3868905)Termination reason: Instruction limit
% 0.52/0.43 % (3868905)Termination phase: shuffling
% 0.52/0.43 % (3868905)Time elapsed: 0.003 s
% 0.52/0.43 % (3868905)Peak memory usage: 10 MB
% 0.52/0.43 % (3868905)Instructions burned: 5 (million)
% 0.52/0.43 % (3868909)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=2112849974:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.52/0.43 % (3868907)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3712021062:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.52/0.43 % (3868908)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2622452626:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.52/0.43 % (3868904)Instruction limit reached!
% 0.52/0.43 % (3868904)------------------------------
% 0.52/0.43 % (3868904)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.43 % (3868904)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.43 % (3868904)CaDiCaL version: 2.1.3
% 0.52/0.43 % (3868904)Termination reason: Instruction limit
% 0.52/0.43 % (3868904)Termination phase: Property scanning
% 0.52/0.43 % (3868904)Time elapsed: 0.012 s
% 0.52/0.43 % (3868904)Peak memory usage: 10 MB
% 0.52/0.43 % (3868904)Instructions burned: 25 (million)
% 0.52/0.43 % (3868907)Instruction limit reached!
% 0.52/0.43 % (3868907)------------------------------
% 0.52/0.43 % (3868907)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.43 % (3868907)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.43 % (3868907)CaDiCaL version: 2.1.3
% 0.52/0.43 % (3868907)Termination reason: Instruction limit
% 0.52/0.43 % (3868907)Termination phase: Property scanning
% 0.52/0.43 % (3868907)Time elapsed: 0.011 s
% 0.52/0.43 % (3868907)Peak memory usage: 10 MB
% 0.52/0.43 % (3868907)Instructions burned: 24 (million)
% 0.52/0.43 % (3868916)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1959593402:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.52/0.43 % (3868916)Instruction limit reached!
% 0.52/0.43 % (3868916)------------------------------
% 0.52/0.43 % (3868916)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.43 % (3868916)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.43 % (3868916)CaDiCaL version: 2.1.3
% 0.52/0.43 % (3868916)Termination reason: Instruction limit
% 0.52/0.43 % (3868916)Termination phase: shuffling
% 0.52/0.43 % (3868916)Time elapsed: 0.002 s
% 0.52/0.43 % (3868916)Peak memory usage: 10 MB
% 0.52/0.43 % (3868916)Instructions burned: 3 (million)
% 0.52/0.43 % (3868918)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=672553487:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.52/0.47 % (3868919)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.52/0.47 % (3868918)Instruction limit reached!
% 0.52/0.47 % (3868918)------------------------------
% 0.52/0.47 % (3868918)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.47 % (3868918)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.47 % (3868918)CaDiCaL version: 2.1.3
% 0.52/0.47 % (3868918)Termination reason: Instruction limit
% 0.52/0.47 % (3868918)Termination phase: shuffling
% 0.52/0.47 % (3868918)Time elapsed: 0.004 s
% 0.52/0.47 % (3868918)Peak memory usage: 10 MB
% 0.52/0.47 % (3868918)Instructions burned: 6 (million)
% 0.52/0.47 % (3868919)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3839364245:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.52/0.47 % (3868919)Instruction limit reached!
% 0.52/0.47 % (3868919)------------------------------
% 0.52/0.47 % (3868919)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.47 % (3868919)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.47 % (3868919)CaDiCaL version: 2.1.3
% 0.52/0.47 % (3868919)Termination reason: Instruction limit
% 0.52/0.47 % (3868919)Termination phase: shuffling
% 0.52/0.47 % (3868919)Time elapsed: 0.004 s
% 0.52/0.47 % (3868919)Peak memory usage: 10 MB
% 0.52/0.47 % (3868919)Instructions burned: 8 (million)
% 0.52/0.47 % (3868903)Instruction limit reached!
% 0.52/0.47 % (3868903)------------------------------
% 0.52/0.47 % (3868903)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.47 % (3868903)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.47 % (3868903)CaDiCaL version: 2.1.3
% 0.52/0.47 % (3868903)Termination reason: Instruction limit
% 0.52/0.47 % (3868903)Termination phase: Saturation
% 0.52/0.47 % (3868903)Time elapsed: 0.041 s
% 0.52/0.47 % (3868903)Peak memory usage: 13 MB
% 0.52/0.47 % (3868903)Instructions burned: 89 (million)
% 0.52/0.47 % (3868921)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3870206804:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.52/0.47 % (3868924)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
% 0.52/0.47 % (3868924)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.52/0.47 % (3868924)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3617015685:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.52/0.47 % (3868921)Instruction limit reached!
% 0.52/0.47 % (3868921)------------------------------
% 0.52/0.47 % (3868921)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.47 % (3868921)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.47 % (3868921)CaDiCaL version: 2.1.3
% 0.52/0.47 % (3868921)Termination reason: Instruction limit
% 0.52/0.47 % (3868921)Termination phase: shuffling
% 0.52/0.47 % (3868921)Time elapsed: 0.006 s
% 0.52/0.47 % (3868921)Peak memory usage: 10 MB
% 0.52/0.47 % (3868921)Instructions burned: 13 (million)
% 0.52/0.47 % (3868926)lrs+10_1_si=on:cs=on:random_seed=3964804032:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.52/0.47 % (3868925)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=2574968505:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.52/0.47 % (3868926)Instruction limit reached!
% 0.52/0.47 % (3868926)------------------------------
% 0.52/0.47 % (3868926)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.47 % (3868926)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.47 % (3868926)CaDiCaL version: 2.1.3
% 0.52/0.47 % (3868926)Termination reason: Instruction limit
% 0.52/0.47 % (3868926)Termination phase: shuffling
% 0.52/0.47 % (3868926)Time elapsed: 0.004 s
% 0.52/0.47 % (3868926)Peak memory usage: 10 MB
% 0.52/0.47 % (3868926)Instructions burned: 8 (million)
% 0.52/0.47 % (3868924)Instruction limit reached!
% 1.28/0.50 % (3868924)------------------------------
% 1.28/0.50 % (3868924)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.50 % (3868924)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.28/0.50 % (3868924)CaDiCaL version: 2.1.3
% 1.28/0.50 % (3868924)Termination reason: Instruction limit
% 1.28/0.50 % (3868924)Termination phase: shuffling
% 1.28/0.50 % (3868924)Time elapsed: 0.013 s
% 1.28/0.50 % (3868924)Peak memory usage: 10 MB
% 1.28/0.50 % (3868924)Instructions burned: 28 (million)
% 1.28/0.50 % (3868929)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.28/0.50 % (3868929)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=550540128:i=2:add=on:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.28/0.50 % (3868908)Instruction limit reached!
% 1.28/0.50 % (3868908)------------------------------
% 1.28/0.50 % (3868908)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.50 % (3868908)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.28/0.50 % (3868908)CaDiCaL version: 2.1.3
% 1.28/0.50 % (3868908)Termination reason: Instruction limit
% 1.28/0.50 % (3868908)Termination phase: Property scanning
% 1.28/0.50 % (3868908)Time elapsed: 0.064 s
% 1.28/0.50 % (3868908)Peak memory usage: 12 MB
% 1.28/0.50 % (3868908)Instructions burned: 76 (million)
% 1.28/0.50 % (3868929)Instruction limit reached!
% 1.28/0.50 % (3868929)------------------------------
% 1.28/0.50 % (3868929)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.50 % (3868929)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.28/0.50 % (3868929)CaDiCaL version: 2.1.3
% 1.28/0.50 % (3868929)Termination reason: Instruction limit
% 1.28/0.50 % (3868929)Termination phase: shuffling
% 1.28/0.50 % (3868929)Time elapsed: 0.002 s
% 1.28/0.50 % (3868929)Peak memory usage: 10 MB
% 1.28/0.50 % (3868929)Instructions burned: 3 (million)
% 1.28/0.50 % (3868932)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=3934476351:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 1.28/0.50 % (3868909)Instruction limit reached!
% 1.28/0.50 % (3868909)------------------------------
% 1.28/0.50 % (3868909)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.50 % (3868909)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.28/0.50 % (3868909)CaDiCaL version: 2.1.3
% 1.28/0.50 % (3868909)Termination reason: Instruction limit
% 1.28/0.50 % (3868909)Termination phase: Saturation
% 1.28/0.50 % (3868909)Time elapsed: 0.082 s
% 1.28/0.50 % (3868909)Peak memory usage: 14 MB
% 1.28/0.50 % (3868909)Instructions burned: 157 (million)
% 1.28/0.50 % (3868933)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=1402611542:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.28/0.50 % (3868935)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1147958744:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.28/0.50 % (3868936)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=950188396:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.28/0.50 % (3868936)Instruction limit reached!
% 1.28/0.50 % (3868936)------------------------------
% 1.28/0.50 % (3868936)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.50 % (3868936)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.28/0.50 % (3868936)CaDiCaL version: 2.1.3
% 1.28/0.50 % (3868936)Termination reason: Instruction limit
% 1.28/0.50 % (3868936)Termination phase: Property scanning
% 1.28/0.50 % (3868936)Time elapsed: 0.007 s
% 1.28/0.50 % (3868936)Peak memory usage: 10 MB
% 1.28/0.50 % (3868936)Instructions burned: 15 (million)
% 1.28/0.50 % (3868925)Instruction limit reached!
% 1.28/0.50 % (3868925)------------------------------
% 1.28/0.50 % (3868925)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.50 % (3868925)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.28/0.50 % (3868925)CaDiCaL version: 2.1.3
% 1.28/0.50 % (3868925)Termination reason: Instruction limit
% 1.28/0.50 % (3868925)Termination phase: Property scanning
% 1.28/0.52 % (3868925)Time elapsed: 0.042 s
% 1.28/0.52 % (3868925)Peak memory usage: 11 MB
% 1.28/0.52 % (3868925)Instructions burned: 87 (million)
% 1.28/0.52 % (3868932)Instruction limit reached!
% 1.28/0.52 % (3868932)------------------------------
% 1.28/0.52 % (3868932)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.52 % (3868932)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.28/0.52 % (3868932)CaDiCaL version: 2.1.3
% 1.28/0.52 % (3868932)Termination reason: Instruction limit
% 1.28/0.52 % (3868932)Termination phase: Preprocessing 3
% 1.28/0.52 % (3868932)Time elapsed: 0.019 s
% 1.28/0.52 % (3868932)Peak memory usage: 11 MB
% 1.28/0.52 % (3868932)Instructions burned: 39 (million)
% 1.28/0.52 % (3868938)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1150219053:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.28/0.52 % (3868935)Instruction limit reached!
% 1.28/0.52 % (3868935)------------------------------
% 1.28/0.52 % (3868935)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.52 % (3868935)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.28/0.52 % (3868935)CaDiCaL version: 2.1.3
% 1.28/0.52 % (3868935)Termination reason: Instruction limit
% 1.28/0.52 % (3868935)Termination phase: SInE selection
% 1.28/0.52 % (3868935)Time elapsed: 0.012 s
% 1.28/0.52 % (3868935)Peak memory usage: 11 MB
% 1.28/0.52 % (3868935)Instructions burned: 25 (million)
% 1.28/0.52 % (3868933)Refutation not found, incomplete strategy
% 1.28/0.52 % (3868933)------------------------------
% 1.28/0.52 % (3868933)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.52 % (3868933)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.28/0.52 % (3868933)CaDiCaL version: 2.1.3
% 1.28/0.52 % (3868933)Termination reason: Refutation not found, incomplete strategy
% 1.28/0.52 % (3868933)Time elapsed: 0.023 s
% 1.28/0.52 % (3868933)Peak memory usage: 13 MB
% 1.28/0.52 % (3868933)Instructions burned: 38 (million)
% 1.28/0.52 % (3868933)------------------------------
% 1.28/0.52 % (3868933)------------------------------
% 1.28/0.52 % (3868943)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=3680431702: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)
% 1.28/0.52 % (3868945)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1097967182:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.28/0.52 % (3868943)Instruction limit reached!
% 1.28/0.52 % (3868943)------------------------------
% 1.28/0.52 % (3868943)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.52 % (3868946)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=2824870252:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.28/0.52 % (3868943)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.28/0.52 % (3868943)CaDiCaL version: 2.1.3
% 1.28/0.52 % (3868943)Termination reason: Instruction limit
% 1.28/0.52 % (3868943)Termination phase: shuffling
% 1.28/0.52 % (3868943)Time elapsed: 0.002 s
% 1.28/0.52 % (3868943)Peak memory usage: 10 MB
% 1.28/0.52 % (3868943)Instructions burned: 3 (million)
% 1.28/0.52 % (3868942)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=850848536:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.28/0.52 % (3868945)Instruction limit reached!
% 1.28/0.52 % (3868945)------------------------------
% 1.28/0.52 % (3868945)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.52 % (3868945)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.28/0.52 % (3868945)CaDiCaL version: 2.1.3
% 1.28/0.52 % (3868945)Termination reason: Instruction limit
% 1.28/0.52 % (3868945)Termination phase: shuffling
% 1.28/0.52 % (3868945)Time elapsed: 0.012 s
% 1.28/0.52 % (3868945)Peak memory usage: 10 MB
% 1.28/0.52 % (3868945)Instructions burned: 27 (million)
% 1.28/0.52 % (3868946)Instruction limit reached!
% 1.28/0.52 % (3868946)------------------------------
% 1.28/0.52 % (3868946)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.52 % (3868946)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.28/0.52 % (3868946)CaDiCaL version: 2.1.3
% 1.28/0.52 % (3868946)Termination reason: Instruction limit
% 1.28/0.52 % (3868946)Termination phase: Property scanning
% 1.28/0.52 % (3868946)Time elapsed: 0.011 s
% 1.28/0.52 % (3868946)Peak memory usage: 10 MB
% 1.28/0.52 % (3868946)Instructions burned: 25 (million)
% 1.28/0.52 % (3868942)Instruction limit reached!
% 1.28/0.52 % (3868942)------------------------------
% 1.28/0.52 % (3868942)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.52 % (3868942)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.28/0.52 % (3868942)CaDiCaL version: 2.1.3
% 1.28/0.52 % (3868942)Termination reason: Instruction limit
% 1.28/0.52 % (3868942)Termination phase: shuffling
% 1.28/0.52 % (3868942)Time elapsed: 0.007 s
% 1.28/0.52 % (3868942)Peak memory usage: 10 MB
% 1.28/0.52 % (3868942)Instructions burned: 14 (million)
% 1.28/0.52 % (3868951)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
% 1.28/0.52 % (3868951)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.28/0.52 % (3868951)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=830089637:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.28/0.52 % (3868947)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=1046883962:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.28/0.52 % (3868953)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.28/0.52 % (3868951)Instruction limit reached!
% 1.28/0.52 % (3868951)------------------------------
% 1.28/0.52 % (3868951)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.52 % (3868951)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.28/0.52 % (3868951)CaDiCaL version: 2.1.3
% 1.28/0.52 % (3868951)Termination reason: Instruction limit
% 1.28/0.52 % (3868951)Termination phase: shuffling
% 1.28/0.52 % (3868951)Time elapsed: 0.007 s
% 1.28/0.52 % (3868951)Peak memory usage: 10 MB
% 1.28/0.52 % (3868951)Instructions burned: 15 (million)
% 1.28/0.52 % (3868953)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=4138711875:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.28/0.52 % (3868954)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=2722420398:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.28/0.52 % (3868955)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=2122387798:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 1.28/0.52 % (3868953)Instruction limit reached!
% 1.28/0.52 % (3868953)------------------------------
% 1.28/0.52 % (3868953)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.52 % (3868953)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.28/0.52 % (3868953)CaDiCaL version: 2.1.3
% 1.28/0.52 % (3868953)Termination reason: Instruction limit
% 1.28/0.52 % (3868953)Termination phase: shuffling
% 1.28/0.52 % (3868953)Time elapsed: 0.005 s
% 1.28/0.52 % (3868953)Peak memory usage: 10 MB
% 1.28/0.52 % (3868953)Instructions burned: 10 (million)
% 1.28/0.52 % (3868955)Instruction limit reached!
% 1.28/0.52 % (3868955)------------------------------
% 1.28/0.52 % (3868955)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.52 % (3868955)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.28/0.52 % (3868955)CaDiCaL version: 2.1.3
% 1.28/0.52 % (3868955)Termination reason: Instruction limit
% 1.28/0.52 % (3868955)Termination phase: shuffling
% 1.28/0.52 % (3868955)Time elapsed: 0.004 s
% 1.28/0.52 % (3868955)Peak memory usage: 10 MB
% 1.28/0.52 % (3868955)Instructions burned: 8 (million)
% 1.28/0.52 % (3868958)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=2610091065:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.28/0.52 % (3868954)Instruction limit reached!
% 1.28/0.52 % (3868954)------------------------------
% 1.28/0.52 % (3868954)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.52 % (3868954)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.28/0.52 % (3868954)CaDiCaL version: 2.1.3
% 1.28/0.52 % (3868954)Termination reason: Instruction limit
% 1.28/0.52 % (3868954)Termination phase: Property scanning
% 1.28/0.52 % (3868954)Time elapsed: 0.015 s
% 1.28/0.52 % (3868954)Peak memory usage: 10 MB
% 1.28/0.52 % (3868954)Instructions burned: 33 (million)
% 1.28/0.52 % (3868906)Instruction limit reached!
% 1.28/0.52 % (3868906)------------------------------
% 1.28/0.52 % (3868906)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.52 % (3868906)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.28/0.52 % (3868906)CaDiCaL version: 2.1.3
% 1.28/0.52 % (3868906)Termination reason: Instruction limit
% 1.28/0.52 % (3868906)Termination phase: Saturation
% 1.28/0.52 % (3868906)Time elapsed: 0.187 s
% 1.28/0.52 % (3868906)Peak memory usage: 16 MB
% 1.28/0.52 % (3868906)Instructions burned: 640 (million)
% 1.28/0.52 % (3868962)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3808292927:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/20Mi)
% 1.28/0.52 % (3868958)Instruction limit reached!
% 1.28/0.52 % (3868958)------------------------------
% 1.28/0.52 % (3868958)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.52 % (3868958)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.28/0.52 % (3868958)CaDiCaL version: 2.1.3
% 1.28/0.52 % (3868958)Termination reason: Instruction limit
% 1.28/0.52 % (3868958)Termination phase: shuffling
% 1.28/0.52 % (3868958)Time elapsed: 0.011 s
% 1.28/0.52 % (3868958)Peak memory usage: 10 MB
% 1.28/0.52 % (3868958)Instructions burned: 23 (million)
% 1.28/0.52 % (3868963)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=897684069:i=1240:rtra=on:ixr=off_2997 on theBenchmark for (2997ds/1240Mi)
% 1.28/0.52 % (3868938) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3868898-3868938"...
% 1.28/0.52 % (3868938)...printing done.
% 1.28/0.52 % (3868966)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=580922945:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 1.28/0.52 % (3868938)Refutation found. Thanks to Tanya!
% 1.28/0.52 % SZS status Theorem for theBenchmark
% 1.28/0.52 % SZS output start Proof for theBenchmark
% 1.28/0.52 thf(type_def_5, type, poly: $tType > $tType).
% 1.28/0.52 thf(type_def_6, type, real: $tType).
% 1.28/0.52 thf(type_def_7, type, set: $tType > $tType).
% 1.28/0.52 thf(type_def_8, type, nat: $tType).
% 1.28/0.52 thf(type_def_9, type, sTfun: ($tType * $tType) > $tType).
% 1.28/0.52 thf(func_def_0, type, type: !>[X0: $tType]:($o)).
% 1.28/0.52 thf(func_def_1, type, idom: !>[X0: $tType]:($o)).
% 1.28/0.52 thf(func_def_2, type, zero: !>[X0: $tType]:($o)).
% 1.28/0.52 thf(func_def_3, type, ord: !>[X0: $tType]:($o)).
% 1.28/0.52 thf(func_def_4, type, ring_char_0: !>[X0: $tType]:($o)).
% 1.28/0.52 thf(func_def_5, type, order: !>[X0: $tType]:($o)).
% 1.28/0.52 thf(func_def_6, type, no_bot: !>[X0: $tType]:($o)).
% 1.28/0.52 thf(func_def_7, type, no_top: !>[X0: $tType]:($o)).
% 1.28/0.52 thf(func_def_8, type, comm_ring_1: !>[X0: $tType]:($o)).
% 1.28/0.52 thf(func_def_9, type, idom_divide: !>[X0: $tType]:($o)).
% 1.28/0.52 thf(func_def_10, type, linorder: !>[X0: $tType]:($o)).
% 1.28/0.52 thf(func_def_11, type, preorder: !>[X0: $tType]:($o)).
% 1.28/0.52 thf(func_def_12, type, idom_abs_sgn: !>[X0: $tType]:($o)).
% 1.28/0.52 thf(func_def_13, type, wellorder: !>[X0: $tType]:($o)).
% 1.28/0.52 thf(func_def_14, type, dense_order: !>[X0: $tType]:($o)).
% 1.28/0.52 thf(func_def_15, type, comm_semiring_0: !>[X0: $tType]:($o)).
% 1.28/0.52 thf(func_def_16, type, comm_semiring_1: !>[X0: $tType]:($o)).
% 1.28/0.52 thf(func_def_17, type, linordered_idom: !>[X0: $tType]:($o)).
% 1.28/0.52 thf(func_def_18, type, linordered_field: !>[X0: $tType]:($o)).
% 1.28/0.52 thf(func_def_19, type, dense_linorder: !>[X0: $tType]:($o)).
% 1.28/0.52 thf(func_def_20, type, ring_n68954251visors: !>[X0: $tType]:($o)).
% 1.28/0.52 thf(func_def_21, type, linord1659791738miring: !>[X0: $tType]:($o)).
% 1.28/0.52 thf(func_def_22, type, canoni770627133id_add: !>[X0: $tType]:($o)).
% 1.28/0.52 thf(func_def_23, type, real_V55928688vector: !>[X0: $tType]:($o)).
% 1.28/0.52 thf(func_def_24, type, condit1656338222tinuum: !>[X0: $tType]:($o)).
% 1.28/0.52 thf(func_def_25, type, condit1037483654norder: !>[X0: $tType]:($o)).
% 1.28/0.52 thf(func_def_26, type, one_one: !>[X0: $tType]:(X0)).
% 1.28/0.52 thf(func_def_27, type, sgn_sgn: !>[X0: $tType]:((X0 > X0))).
% 1.28/0.52 thf(func_def_28, type, zero_zero: !>[X0: $tType]:(X0)).
% 1.28/0.52 thf(func_def_29, type, if: !>[X0: $tType]:(($o > X0 > X0 > X0))).
% 1.28/0.52 thf(func_def_30, type, ord_less: !>[X0: $tType]:((X0 > X0 > $o))).
% 1.28/0.52 thf(func_def_31, type, ord_less_eq: !>[X0: $tType]:((X0 > X0 > $o))).
% 1.28/0.52 thf(func_def_32, type, ord_min: !>[X0: $tType]:((X0 > X0 > X0))).
% 1.28/0.52 thf(func_def_33, type, divide_poly_main: !>[X0: $tType]:((X0 > poly @ X0 > poly @ X0 > poly @ X0 > nat > nat > poly @ X0))).
% 1.28/0.52 thf(func_def_34, type, is_zero: !>[X0: $tType]:((poly @ X0 > $o))).
% 1.28/0.52 thf(func_def_35, type, order2: !>[X0: $tType]:((X0 > poly @ X0 > nat))).
% 1.28/0.52 thf(func_def_36, type, poly2: !>[X0: $tType]:((poly @ X0 > X0 > X0))).
% 1.28/0.52 thf(func_def_37, type, poly_cutoff: !>[X0: $tType]:((nat > poly @ X0 > poly @ X0))).
% 1.28/0.52 thf(func_def_38, type, poly_shift: !>[X0: $tType]:((nat > poly @ X0 > poly @ X0))).
% 1.28/0.52 thf(func_def_39, type, reflect_poly: !>[X0: $tType]:((poly @ X0 > poly @ X0))).
% 1.28/0.52 thf(func_def_40, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 1.28/0.52 thf(func_def_41, type, sturm_1439882693eg_inf: !>[X0: $tType]:((poly @ X0 > X0))).
% 1.28/0.52 thf(func_def_42, type, sturm_62398785os_inf: !>[X0: $tType]:((poly @ X0 > X0))).
% 1.28/0.52 thf(func_def_43, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 1.28/0.52 thf(func_def_44, type, lb1: real).
% 1.28/0.52 thf(func_def_45, type, lb2: real).
% 1.28/0.52 thf(func_def_46, type, lb: real).
% 1.28/0.52 thf(func_def_47, type, p: poly @ real).
% 1.28/0.52 thf(func_def_48, type, thesis: $o).
% 1.28/0.52 thf(func_def_52, type, db0: !>[X0: $tType]:(X0)).
% 1.28/0.52 thf(func_def_53, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 1.28/0.52 thf(func_def_54, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 1.28/0.52 thf(func_def_55, type, vAND: ($o > $o > $o)).
% 1.28/0.52 thf(func_def_56, type, db1: !>[X0: $tType]:(X0)).
% 1.28/0.52 thf(func_def_57, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 1.28/0.52 thf(func_def_58, type, vIMP: ($o > $o > $o)).
% 1.28/0.52 thf(func_def_59, type, vNOT: ($o > $o)).
% 1.28/0.52 thf(func_def_60, type, db2: !>[X0: $tType]:(X0)).
% 1.28/0.52 thf(func_def_61, type, vOR: ($o > $o > $o)).
% 1.28/0.52 thf(func_def_62, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 1.28/0.52 thf(func_def_63, type, sP0: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 1.28/0.52 thf(func_def_64, type, sP1: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 1.28/0.52 thf(func_def_65, type, sP2: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 1.28/0.52 thf(func_def_66, type, sK3: !>[X0: $tType]:((X0 > X0))).
% 1.28/0.52 thf(func_def_67, type, sK4: !>[X0: $tType]:((X0 > X0))).
% 1.28/0.52 thf(func_def_68, type, sK5: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 1.28/0.52 thf(func_def_69, type, sK6: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 1.28/0.52 thf(func_def_70, type, sK7: ((nat > $o) > nat > nat)).
% 1.28/0.52 thf(func_def_71, type, sK8: ((nat > $o) > nat)).
% 1.28/0.52 thf(func_def_72, type, sK9: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 1.28/0.52 thf(func_def_73, type, sK10: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 1.28/0.52 thf(func_def_74, type, sK11: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 1.28/0.52 thf(func_def_75, type, sK12: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 1.28/0.52 thf(func_def_76, type, sK13: ((nat > nat) > nat)).
% 1.28/0.52 thf(func_def_77, type, sK14: ((nat > nat) > nat)).
% 1.28/0.52 thf(func_def_78, type, sK15: (poly @ real > real > real > real)).
% 1.28/0.52 thf(func_def_79, type, sK16: real).
% 1.28/0.52 thf(func_def_80, type, sK17: ((nat > $o) > nat)).
% 1.28/0.52 thf(func_def_81, type, sK18: !>[X0: $tType]:((X0 > X0))).
% 1.28/0.52 thf(func_def_82, type, sK19: real).
% 1.28/0.52 thf(func_def_83, type, sK20: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 1.28/0.52 thf(func_def_84, type, sK21: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 1.28/0.52 thf(func_def_85, type, sK22: !>[X0: $tType]:((X0 > X0))).
% 1.28/0.52 thf(func_def_86, type, sK23: !>[X0: $tType, X1: $tType]:((X1 > X0))).
% 1.28/0.52 thf(func_def_87, type, sK24: (poly @ real > real > real)).
% 1.28/0.52 thf(func_def_88, type, sK25: ((nat > $o) > nat)).
% 1.28/0.52 thf(func_def_89, type, sK26: ((nat > $o) > nat)).
% 1.28/0.52 thf(func_def_90, type, sK27: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 1.28/0.52 thf(func_def_91, type, sK28: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 1.28/0.52 thf(func_def_92, type, sK29: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > X1) > X0))).
% 1.28/0.52 thf(func_def_93, type, sK30: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > X1) > X0))).
% 1.28/0.52 thf(func_def_94, type, sK31: !>[X0: $tType]:((X0 > X0))).
% 1.28/0.52 thf(func_def_95, type, sK32: !>[X0: $tType]:((X0 > X0))).
% 1.28/0.52 thf(func_def_96, type, sK33: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 1.28/0.52 thf(func_def_97, type, sK34: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 1.28/0.52 thf(func_def_98, type, sK35: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 1.28/0.52 thf(func_def_99, type, sK36: !>[X0: $tType]:(((X0 > nat) > (X0 > $o) > X0))).
% 1.28/0.52 thf(func_def_100, type, sK37: !>[X0: $tType]:(((X0 > $o) > (X0 > nat) > X0))).
% 1.28/0.52 thf(func_def_101, type, sK38: !>[X0: $tType]:(((X0 > $o) > (X0 > nat) > X0))).
% 1.28/0.52 thf(func_def_102, type, sK39: !>[X0: $tType]:((X0 > X0))).
% 1.28/0.52 thf(func_def_103, type, sK40: (nat > (nat > $o) > nat)).
% 1.28/0.52 thf(func_def_104, type, sK41: !>[X0: $tType]:((X0 > X0))).
% 1.28/0.52 thf(func_def_105, type, sK42: !>[X0: $tType]:((X0 > X0))).
% 1.28/0.52 thf(func_def_106, type, sK43: (real > set @ real > real)).
% 1.28/0.52 thf(func_def_107, type, sK44: (set @ real > real)).
% 1.28/0.52 thf(func_def_108, type, sK45: (real > set @ real > real)).
% 1.28/0.52 thf(func_def_109, type, sK46: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > (X0 > $o) > (X0 > $o) > X0))).
% 1.28/0.52 thf(func_def_110, type, sK47: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 1.28/0.52 thf(func_def_111, type, sK48: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 1.28/0.52 thf(func_def_112, type, sK49: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 1.28/0.52 thf(func_def_113, type, sK50: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 1.28/0.52 thf(func_def_114, type, sK51: !>[X0: $tType, X1: $tType]:((X0 > X1))).
% 1.28/0.52 thf(func_def_115, type, sK52: !>[X0: $tType]:((X0 > X0))).
% 1.28/0.52 thf(func_def_116, type, sK53: real).
% 1.28/0.52 thf(func_def_117, type, sK54: ((nat > $o) > nat > nat)).
% 1.28/0.52 thf(func_def_118, type, sK55: ((nat > $o) > nat > nat)).
% 1.28/0.52 thf(func_def_119, type, sK56: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 1.28/0.52 thf(func_def_120, type, sK57: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 1.28/0.52 thf(func_def_121, type, sK58: (real > real > poly @ real > real)).
% 1.28/0.52 thf(func_def_122, type, sK59: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 1.28/0.52 thf(func_def_123, type, sK60: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 1.28/0.52 thf(func_def_124, type, sK61: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > (X0 > $o) > (X0 > $o) > X0))).
% 1.28/0.52 thf(func_def_125, type, sK62: (real > real)).
% 1.28/0.52 thf(func_def_126, type, sK63: (real > real)).
% 1.28/0.52 thf(func_def_127, type, sK64: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 1.28/0.52 thf(func_def_128, type, sK65: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 1.28/0.52 thf(func_def_129, type, sK66: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 1.28/0.52 thf(func_def_130, type, sK67: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 1.28/0.52 thf(func_def_131, type, sK68: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 1.28/0.52 thf(func_def_132, type, sK69: (poly @ real > real > real)).
% 1.28/0.52 thf(func_def_133, type, sK70: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 1.28/0.52 thf(func_def_134, type, sK71: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 1.28/0.52 thf(func_def_135, type, sK72: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 1.28/0.52 thf(func_def_136, type, sK73: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 1.28/0.52 thf(func_def_137, type, sK74: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 1.28/0.52 thf(func_def_138, type, sK75: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 1.28/0.52 thf(func_def_139, type, sK76: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 1.28/0.52 thf(func_def_140, type, sK77: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > (X0 > $o) > (X0 > $o) > X0))).
% 1.28/0.52 thf(func_def_141, type, sK78: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 1.28/0.52 thf(func_def_142, type, sK79: !>[X0: $tType]:(((X0 > nat) > (X0 > $o) > X0))).
% 1.28/0.52 thf(func_def_143, type, sK80: !>[X0: $tType]:(((X0 > nat) > nat > (X0 > $o) > X0))).
% 1.28/0.52 thf(func_def_144, type, sK81: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 1.28/0.52 thf(func_def_145, type, sK82: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 1.28/0.52 thf(func_def_146, type, sK83: !>[X0: $tType]:(((X0 > $o) > (X0 > nat) > X0))).
% 1.28/0.52 thf(func_def_147, type, sK84: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 1.28/0.52 thf(func_def_148, type, sK85: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 1.28/0.52 thf(func_def_149, type, sK86: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > (X0 > $o) > (X0 > $o) > X0))).
% 1.28/0.52 thf(func_def_150, type, sK87: !>[X0: $tType]:((X0 > X0))).
% 1.28/0.52 thf(func_def_151, type, sK88: !>[X0: $tType]:((X0 > X0))).
% 1.28/0.52 thf(func_def_152, type, sK89: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 1.28/0.52 thf(func_def_153, type, sK90: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 1.28/0.52 thf(func_def_154, type, sK91: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 1.28/0.52 thf(func_def_155, type, sK92: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 1.28/0.52 thf(f1,axiom,(
% 1.28/0.52 ! [X1 : real] : ((((poly2 @ real @ p @ X1)) = zero_zero @ real) => (ord_less @ real @ lb1 @ X1))),
% 1.28/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_lb1)).
% 1.28/0.52 thf(f2,axiom,(
% 1.28/0.52 (lb = ((ord_min @ real @ lb1 @ lb2)))),
% 1.28/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1_lb__def)).
% 1.28/0.52 thf(f23,axiom,(
% 1.28/0.52 ! [X0 : $tType] : (linorder @ X0 => ! [X2 : X0,X3 : X0,X1 : X0] : ((ord_less @ X0 @ X1 @ X2) => (ord_less @ X0 @ (ord_min @ X0 @ X1 @ X3) @ X2)))),
% 1.28/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_22_min_Ostrict__coboundedI1)).
% 1.28/0.52 thf(f290,axiom,(
% 1.28/0.52 linorder @ real),
% 1.28/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Orderings_Olinorder_16)).
% 1.28/0.52 thf(f318,conjecture,(
% 1.28/0.52 ! [X0 : real] : ((((poly2 @ real @ p @ X0)) != zero_zero @ real) | (ord_less @ real @ lb @ X0))),
% 1.28/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)).
% 1.28/0.52 thf(f319,negated_conjecture,(
% 1.28/0.52 ~ ! [X0 : real] : ((((poly2 @ real @ p @ X0)) != zero_zero @ real) | (ord_less @ real @ lb @ X0))),
% 1.28/0.52 inference(negated_conjecture,[status(cth)],[f318])).
% 1.28/0.52 thf(f342,plain,(
% 1.28/0.52 ! [X0 : $tType] : (linorder @ X0 => ! [X1 : X0,X2 : X0,X3 : X0] : ((ord_less @ X0 @ X3 @ X1) => (ord_less @ X0 @ (ord_min @ X0 @ X3 @ X2) @ X1)))),
% 1.28/0.52 inference(rectify,[],[f23])).
% 1.28/0.52 thf(f343,plain,(
% 1.28/0.52 ! [X0 : $tType] : ((linorder @ X0 = $true) => ! [X1 : X0,X3 : X0,X2 : X0] : ((((ord_less @ X0 @ X3 @ X1)) = $true) => ($true = ((ord_less @ X0 @ (ord_min @ X0 @ X3 @ X2) @ X1)))))),
% 1.28/0.52 inference(fool_elimination,[],[f342])).
% 1.28/0.52 thf(f493,plain,(
% 1.28/0.52 linorder @ real),
% 1.28/0.52 inference(rectify,[],[f290])).
% 1.28/0.52 thf(f494,plain,(
% 1.28/0.52 (linorder @ real = $true)),
% 1.28/0.52 inference(fool_elimination,[],[f493])).
% 1.28/0.52 thf(f680,plain,(
% 1.28/0.52 ! [X0 : real] : ((zero_zero @ real = ((poly2 @ real @ p @ X0))) => (ord_less @ real @ lb1 @ X0))),
% 1.28/0.52 inference(rectify,[],[f1])).
% 1.28/0.52 thf(f681,plain,(
% 1.28/0.52 ! [X0 : real] : ((zero_zero @ real = ((poly2 @ real @ p @ X0))) => ($true = ((ord_less @ real @ lb1 @ X0))))),
% 1.28/0.52 inference(fool_elimination,[],[f680])).
% 1.28/0.52 thf(f702,plain,(
% 1.28/0.52 ~ ! [X0 : real] : ((((poly2 @ real @ p @ X0)) != zero_zero @ real) | (ord_less @ real @ lb @ X0))),
% 1.28/0.52 inference(rectify,[],[f319])).
% 1.28/0.52 thf(f703,plain,(
% 1.28/0.52 ~ ! [X0 : real] : ((zero_zero @ real != ((poly2 @ real @ p @ X0))) | (((ord_less @ real @ lb @ X0)) = $true))),
% 1.28/0.52 inference(fool_elimination,[],[f702])).
% 1.28/0.52 thf(f975,plain,(
% 1.28/0.52 ! [X0 : $tType] : (! [X3 : X0,X1 : X0,X2 : X0] : (($true = ((ord_less @ X0 @ (ord_min @ X0 @ X3 @ X2) @ X1))) | (((ord_less @ X0 @ X3 @ X1)) != $true)) | (linorder @ X0 != $true))),
% 1.28/0.52 inference(ennf_transformation,[],[f343])).
% 1.28/0.52 thf(f1013,plain,(
% 1.28/0.52 ? [X0 : real] : ((zero_zero @ real = ((poly2 @ real @ p @ X0))) & (((ord_less @ real @ lb @ X0)) != $true))),
% 1.28/0.52 inference(ennf_transformation,[],[f703])).
% 1.28/0.52 thf(f1128,plain,(
% 1.28/0.52 ! [X0 : real] : ((zero_zero @ real != ((poly2 @ real @ p @ X0))) | ($true = ((ord_less @ real @ lb1 @ X0))))),
% 1.28/0.52 inference(ennf_transformation,[],[f681])).
% 1.28/0.52 thf(f1264,plain,(
% 1.28/0.52 ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : X0] : ((((ord_less @ X0 @ (ord_min @ X0 @ X1 @ X3) @ X2)) = $true) | (((ord_less @ X0 @ X1 @ X2)) != $true)) | (linorder @ X0 != $true))),
% 1.28/0.52 inference(rectify,[],[f975])).
% 1.28/0.52 thf(f1282,plain,(
% 1.28/0.52 (zero_zero @ real = ((poly2 @ real @ p @ sK19))) & ($true != ((ord_less @ real @ lb @ sK19)))),
% 1.28/0.52 inference(skolemize,[status(esa),new_symbols(skolem,[sK19]),skolemize(X0,sK19)],[f1013])).
% 1.28/0.52 thf(f1446,plain,(
% 1.28/0.52 ( ! [X0 : real] : ((zero_zero @ real != ((poly2 @ real @ p @ X0))) | ($true = ((ord_less @ real @ lb1 @ X0)))) )),
% 1.28/0.52 inference(cnf_transformation,[],[f1128])).
% 1.28/0.52 thf(f1447,plain,(
% 1.28/0.52 ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : X0] : ((((ord_less @ X0 @ X1 @ X2)) != $true) | (linorder @ X0 != $true) | (((ord_less @ X0 @ (ord_min @ X0 @ X1 @ X3) @ X2)) = $true)) )),
% 1.28/0.52 inference(cnf_transformation,[],[f1264])).
% 1.28/0.52 thf(f1486,plain,(
% 1.28/0.52 ($true != ((ord_less @ real @ lb @ sK19)))),
% 1.28/0.52 inference(cnf_transformation,[],[f1282])).
% 1.28/0.52 thf(f1487,plain,(
% 1.28/0.52 (zero_zero @ real = ((poly2 @ real @ p @ sK19)))),
% 1.28/0.52 inference(cnf_transformation,[],[f1282])).
% 1.28/0.52 thf(f1566,plain,(
% 1.28/0.52 (lb = ((ord_min @ real @ lb1 @ lb2)))),
% 1.28/0.52 inference(cnf_transformation,[],[f2])).
% 1.28/0.52 thf(f1608,plain,(
% 1.28/0.52 (linorder @ real = $true)),
% 1.28/0.52 inference(cnf_transformation,[],[f494])).
% 1.28/0.52 thf(f2448,plain,(
% 1.28/0.52 ($true = ((ord_less @ real @ lb1 @ sK19))) | (zero_zero @ real != zero_zero @ real)),
% 1.28/0.52 inference(superposition,[],[f1446,f1487])).
% 1.28/0.52 thf(f2449,plain,(
% 1.28/0.52 ($true = ((ord_less @ real @ lb1 @ sK19)))),
% 1.28/0.52 inference(trivial_inequality_removal,[],[f2448])).
% 1.28/0.52 thf(f2834,plain,(
% 1.28/0.52 ( ! [X0 : real] : (($true = ((ord_less @ real @ (ord_min @ real @ lb1 @ X0) @ sK19))) | ($true != $true) | (linorder @ real != $true)) )),
% 1.28/0.52 inference(superposition,[],[f1447,f2449])).
% 1.28/0.52 thf(f2846,plain,(
% 1.28/0.52 ( ! [X0 : real] : (($true = ((ord_less @ real @ (ord_min @ real @ lb1 @ X0) @ sK19))) | (linorder @ real != $true)) )),
% 1.28/0.52 inference(trivial_inequality_removal,[],[f2834])).
% 1.28/0.52 thf(f2851,plain,(
% 1.28/0.52 ( ! [X0 : real] : (($true = ((ord_less @ real @ (ord_min @ real @ lb1 @ X0) @ sK19)))) )),
% 1.28/0.52 inference(forward_subsumption_resolution,[],[f2846,f1608])).
% 1.28/0.52 thf(f2963,plain,(
% 1.28/0.52 ($true = ((ord_less @ real @ lb @ sK19)))),
% 1.28/0.52 inference(superposition,[],[f2851,f1566])).
% 1.28/0.52 thf(f2973,plain,(
% 1.28/0.52 $false),
% 1.28/0.52 inference(forward_subsumption_resolution,[],[f2963,f1486])).
% 1.28/0.52 % SZS output end Proof for theBenchmark
% 1.28/0.52 % (3868938)------------------------------
% 1.28/0.52 % (3868938)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.52 % (3868938)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.28/0.52 % (3868938)CaDiCaL version: 2.1.3
% 1.28/0.52 % (3868938)Termination reason: Refutation
% 1.28/0.52 % (3868938)Time elapsed: 0.083 s
% 1.28/0.52 % (3868938)Peak memory usage: 14 MB
% 1.28/0.52 % (3868938)Instructions burned: 162 (million)
% 1.28/0.52 % (3868898)Success in time 0.24 s
% 1.28/0.52 % Vampire exiting
%------------------------------------------------------------------------------