%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP130^2 : 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 : n008.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 08:08:28 AM UTC 2026
% Result : Theorem 0.58s 0.46s
% Output : Refutation 0.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP130^2 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n008.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Tue Sep 29 19:58:54 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
% 0.23/0.27 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
% 0.58/0.43 % (3659191)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.58/0.43 % (3659199)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=137470222: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)
% 0.58/0.43 % (3659202)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.58/0.43 % (3659202)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
% 0.58/0.43 % (3659200)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=4036063266:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.58/0.43 % (3659196)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=4280009704:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.58/0.43 % (3659197)lrs+10_16_si=on:nwc=1.5:random_seed=304669592:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.58/0.43 % (3659198)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3966144967:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.58/0.43 % (3659201)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=336250998:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.58/0.43 % (3659202)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=827968500:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.58/0.43 % (3659198)Instruction limit reached!
% 0.58/0.43 % (3659198)------------------------------
% 0.58/0.43 % (3659198)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.58/0.43 % (3659198)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.58/0.43 % (3659198)CaDiCaL version: 2.1.3
% 0.58/0.43 % (3659198)Termination reason: Instruction limit
% 0.58/0.43 % (3659198)Termination phase: shuffling
% 0.58/0.43 % (3659198)Time elapsed: 0.002 s
% 0.58/0.43 % (3659198)Peak memory usage: 10 MB
% 0.58/0.43 % (3659198)Instructions burned: 3 (million)
% 0.58/0.43 % (3659197)Instruction limit reached!
% 0.58/0.43 % (3659197)------------------------------
% 0.58/0.43 % (3659197)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.58/0.43 % (3659197)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.58/0.43 % (3659197)CaDiCaL version: 2.1.3
% 0.58/0.43 % (3659197)Termination reason: Instruction limit
% 0.58/0.43 % (3659197)Termination phase: Property scanning
% 0.58/0.43 % (3659197)Time elapsed: 0.009 s
% 0.58/0.43 % (3659197)Peak memory usage: 10 MB
% 0.58/0.43 % (3659197)Instructions burned: 18 (million)
% 0.58/0.43 % (3659200)Instruction limit reached!
% 0.58/0.43 % (3659200)------------------------------
% 0.58/0.43 % (3659200)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.58/0.43 % (3659200)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.58/0.43 % (3659200)CaDiCaL version: 2.1.3
% 0.58/0.43 % (3659200)Termination reason: Instruction limit
% 0.58/0.43 % (3659200)Termination phase: Preprocessing 1
% 0.58/0.43 % (3659200)Time elapsed: 0.011 s
% 0.58/0.43 % (3659200)Peak memory usage: 10 MB
% 0.58/0.43 % (3659200)Instructions burned: 25 (million)
% 0.58/0.43 % (3659210)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2717478202:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.58/0.43 % (3659210)Instruction limit reached!
% 0.58/0.43 % (3659210)------------------------------
% 0.58/0.43 % (3659210)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.58/0.43 % (3659210)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.58/0.43 % (3659210)CaDiCaL version: 2.1.3
% 0.58/0.43 % (3659210)Termination reason: Instruction limit
% 0.58/0.43 % (3659210)Termination phase: shuffling
% 0.58/0.43 % (3659210)Time elapsed: 0.003 s
% 0.58/0.43 % (3659210)Peak memory usage: 10 MB
% 0.58/0.43 % (3659210)Instructions burned: 6 (million)
% 0.58/0.43 % (3659212)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.58/0.46 % (3659211)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1903845058:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.58/0.46 % (3659212)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=24584649:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.58/0.46 % (3659211)Instruction limit reached!
% 0.58/0.46 % (3659211)------------------------------
% 0.58/0.46 % (3659211)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.58/0.46 % (3659211)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.58/0.46 % (3659211)CaDiCaL version: 2.1.3
% 0.58/0.46 % (3659211)Termination reason: Instruction limit
% 0.58/0.46 % (3659211)Termination phase: shuffling
% 0.58/0.46 % (3659211)Time elapsed: 0.003 s
% 0.58/0.46 % (3659211)Peak memory usage: 10 MB
% 0.58/0.46 % (3659211)Instructions burned: 5 (million)
% 0.58/0.46 % (3659212)Instruction limit reached!
% 0.58/0.46 % (3659212)------------------------------
% 0.58/0.46 % (3659212)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.58/0.46 % (3659212)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.58/0.46 % (3659212)CaDiCaL version: 2.1.3
% 0.58/0.46 % (3659212)Termination reason: Instruction limit
% 0.58/0.46 % (3659212)Termination phase: shuffling
% 0.58/0.46 % (3659212)Time elapsed: 0.004 s
% 0.58/0.46 % (3659212)Peak memory usage: 10 MB
% 0.58/0.46 % (3659212)Instructions burned: 8 (million)
% 0.58/0.46 % (3659196)Instruction limit reached!
% 0.58/0.46 % (3659196)------------------------------
% 0.58/0.46 % (3659196)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.58/0.46 % (3659196)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.58/0.46 % (3659196)CaDiCaL version: 2.1.3
% 0.58/0.46 % (3659201)Instruction limit reached!
% 0.58/0.46 % (3659201)------------------------------
% 0.58/0.46 % (3659201)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.58/0.46 % (3659196)Termination reason: Instruction limit
% 0.58/0.46 % (3659196)Termination phase: Saturation
% 0.58/0.46 % (3659196)Time elapsed: 0.041 s
% 0.58/0.46 % (3659201)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.58/0.46 % (3659196)Peak memory usage: 13 MB
% 0.58/0.46 % (3659196)Instructions burned: 89 (million)
% 0.58/0.46 % (3659201)CaDiCaL version: 2.1.3
% 0.58/0.46 % (3659201)Termination reason: Instruction limit
% 0.58/0.46 % (3659201)Termination phase: Saturation
% 0.58/0.46 % (3659201)Time elapsed: 0.040 s
% 0.58/0.46 % (3659201)Peak memory usage: 13 MB
% 0.58/0.46 % (3659201)Instructions burned: 77 (million)
% 0.58/0.46 % (3659214)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3992274874:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.58/0.46 % (3659214)Instruction limit reached!
% 0.58/0.46 % (3659214)------------------------------
% 0.58/0.46 % (3659214)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.58/0.46 % (3659214)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.58/0.46 % (3659214)CaDiCaL version: 2.1.3
% 0.58/0.46 % (3659214)Termination reason: Instruction limit
% 0.58/0.46 % (3659214)Termination phase: shuffling
% 0.58/0.46 % (3659214)Time elapsed: 0.006 s
% 0.58/0.46 % (3659214)Peak memory usage: 10 MB
% 0.58/0.46 % (3659214)Instructions burned: 13 (million)
% 0.58/0.46 % (3659218)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=2881310843:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.58/0.46 % (3659217)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
% 0.58/0.46 % (3659217)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.58/0.46 % (3659217)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3552722848:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.58/0.46 % (3659220)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.58/0.46 % (3659219)lrs+10_1_si=on:cs=on:random_seed=1758122208:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.58/0.46 % (3659220)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=4143641361:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.58/0.46 % (3659220)Instruction limit reached!
% 0.58/0.46 % (3659220)------------------------------
% 0.58/0.46 % (3659220)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.58/0.46 % (3659220)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.58/0.46 % (3659220)CaDiCaL version: 2.1.3
% 0.58/0.46 % (3659220)Termination reason: Instruction limit
% 0.58/0.46 % (3659220)Termination phase: shuffling
% 0.58/0.46 % (3659220)Time elapsed: 0.002 s
% 0.58/0.46 % (3659220)Peak memory usage: 10 MB
% 0.58/0.46 % (3659220)Instructions burned: 3 (million)
% 0.58/0.46 % (3659219)Instruction limit reached!
% 0.58/0.46 % (3659219)------------------------------
% 0.58/0.46 % (3659219)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.58/0.46 % (3659219)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.58/0.46 % (3659219)CaDiCaL version: 2.1.3
% 0.58/0.46 % (3659219)Termination reason: Instruction limit
% 0.58/0.46 % (3659219)Termination phase: shuffling
% 0.58/0.46 % (3659219)Time elapsed: 0.004 s
% 0.58/0.46 % (3659219)Peak memory usage: 10 MB
% 0.58/0.46 % (3659219)Instructions burned: 8 (million)
% 0.58/0.46 % (3659217)Instruction limit reached!
% 0.58/0.46 % (3659217)------------------------------
% 0.58/0.46 % (3659217)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.58/0.46 % (3659217)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.58/0.46 % (3659217)CaDiCaL version: 2.1.3
% 0.58/0.46 % (3659217)Termination reason: Instruction limit
% 0.58/0.46 % (3659217)Termination phase: Property scanning
% 0.58/0.46 % (3659217)Time elapsed: 0.013 s
% 0.58/0.46 % (3659217)Peak memory usage: 10 MB
% 0.58/0.46 % (3659217)Instructions burned: 28 (million)
% 0.58/0.46 % (3659223)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=2454140510:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 0.58/0.46 % (3659227)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=3731289594:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 0.58/0.46 % (3659228)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3135255451:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.58/0.46 % (3659229)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=3658118549:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.58/0.46 % (3659218)Instruction limit reached!
% 0.58/0.46 % (3659218)------------------------------
% 0.58/0.46 % (3659218)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.58/0.46 % (3659218)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.58/0.46 % (3659218)CaDiCaL version: 2.1.3
% 0.58/0.46 % (3659218)Termination reason: Instruction limit
% 0.58/0.46 % (3659218)Termination phase: Property scanning
% 0.58/0.46 % (3659218)Time elapsed: 0.036 s
% 0.58/0.46 % (3659218)Peak memory usage: 11 MB
% 0.58/0.46 % (3659218)Instructions burned: 86 (million)
% 0.58/0.46 % (3659223)Instruction limit reached!
% 0.58/0.46 % (3659223)------------------------------
% 0.58/0.46 % (3659223)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.58/0.46 % (3659223)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.58/0.46 % (3659223)CaDiCaL version: 2.1.3
% 0.58/0.46 % (3659223)Termination reason: Instruction limit
% 0.58/0.46 % (3659223)Termination phase: Property scanning
% 0.58/0.46 % (3659223)Time elapsed: 0.018 s
% 0.58/0.46 % (3659223)Peak memory usage: 11 MB
% 0.58/0.46 % (3659223)Instructions burned: 39 (million)
% 0.58/0.46 % (3659229)Instruction limit reached!
% 0.58/0.46 % (3659229)------------------------------
% 0.58/0.46 % (3659229)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.58/0.46 % (3659229)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.58/0.46 % (3659229)CaDiCaL version: 2.1.3
% 0.58/0.46 % (3659229)Termination reason: Instruction limit
% 0.58/0.46 % (3659229)Termination phase: Property scanning
% 0.58/0.46 % (3659229)Time elapsed: 0.007 s
% 0.58/0.46 % (3659229)Peak memory usage: 10 MB
% 0.58/0.46 % (3659229)Instructions burned: 15 (million)
% 0.58/0.46 % (3659228)Instruction limit reached!
% 0.58/0.46 % (3659228)------------------------------
% 0.58/0.46 % (3659228)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.58/0.46 % (3659228)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.58/0.46 % (3659228)CaDiCaL version: 2.1.3
% 0.58/0.46 % (3659228)Termination reason: Instruction limit
% 0.58/0.46 % (3659228)Termination phase: SInE selection
% 0.58/0.46 % (3659228)Time elapsed: 0.012 s
% 0.58/0.46 % (3659228)Peak memory usage: 11 MB
% 0.58/0.46 % (3659228)Instructions burned: 25 (million)
% 0.58/0.46 % (3659234)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1239520297:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.58/0.46 % (3659235)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=3546941818:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 0.58/0.46 % (3659237)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=77885526:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 0.58/0.46 % (3659236)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=3526235016:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2998 on theBenchmark for (2998ds/2Mi)
% 0.58/0.46 % (3659236)Instruction limit reached!
% 0.58/0.46 % (3659236)------------------------------
% 0.58/0.46 % (3659236)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.58/0.46 % (3659236)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.58/0.46 % (3659236)CaDiCaL version: 2.1.3
% 0.58/0.46 % (3659236)Termination reason: Instruction limit
% 0.58/0.46 % (3659236)Termination phase: shuffling
% 0.58/0.46 % (3659236)Time elapsed: 0.002 s
% 0.58/0.46 % (3659236)Peak memory usage: 10 MB
% 0.58/0.46 % (3659236)Instructions burned: 3 (million)
% 0.58/0.46 % (3659235)Instruction limit reached!
% 0.58/0.46 % (3659235)------------------------------
% 0.58/0.46 % (3659235)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.58/0.46 % (3659235)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.58/0.46 % (3659235)CaDiCaL version: 2.1.3
% 0.58/0.46 % (3659235)Termination reason: Instruction limit
% 0.58/0.46 % (3659235)Termination phase: Property scanning
% 0.58/0.46 % (3659235)Time elapsed: 0.007 s
% 0.58/0.46 % (3659235)Peak memory usage: 10 MB
% 0.58/0.46 % (3659235)Instructions burned: 16 (million)
% 0.58/0.46 % (3659227) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3659191-3659227"...
% 0.58/0.46 % (3659227)...printing done.
% 0.58/0.46 % (3659227)Refutation found. Thanks to Tanya!
% 0.58/0.46 % SZS status Theorem for theBenchmark
% 0.58/0.46 % SZS output start Proof for theBenchmark
% 0.58/0.46 thf(type_def_5, type, real: $tType).
% 0.58/0.46 thf(type_def_6, type, nat: $tType).
% 0.58/0.46 thf(type_def_7, type, int: $tType).
% 0.58/0.46 thf(type_def_8, type, sTfun: ($tType * $tType) > $tType).
% 0.58/0.46 thf(func_def_0, type, zero: !>[X0: $tType]:($o)).
% 0.58/0.46 thf(func_def_1, type, field: !>[X0: $tType]:($o)).
% 0.58/0.46 thf(func_def_2, type, ring_1: !>[X0: $tType]:($o)).
% 0.58/0.46 thf(func_def_3, type, ring_char_0: !>[X0: $tType]:($o)).
% 0.58/0.46 thf(func_def_4, type, order: !>[X0: $tType]:($o)).
% 0.58/0.46 thf(func_def_5, type, semiring_1: !>[X0: $tType]:($o)).
% 0.58/0.46 thf(func_def_6, type, monoid_mult: !>[X0: $tType]:($o)).
% 0.58/0.46 thf(func_def_7, type, wellorder: !>[X0: $tType]:($o)).
% 0.58/0.46 thf(func_def_8, type, division_ring: !>[X0: $tType]:($o)).
% 0.58/0.46 thf(func_def_9, type, semiring_bits: !>[X0: $tType]:($o)).
% 0.58/0.46 thf(func_def_10, type, semidom_divide: !>[X0: $tType]:($o)).
% 0.58/0.46 thf(func_def_11, type, linordered_idom: !>[X0: $tType]:($o)).
% 0.58/0.46 thf(func_def_12, type, linordered_field: !>[X0: $tType]:($o)).
% 0.58/0.46 thf(func_def_13, type, linordered_semidom: !>[X0: $tType]:($o)).
% 0.58/0.46 thf(func_def_14, type, semiri134348788visors: !>[X0: $tType]:($o)).
% 0.58/0.46 thf(func_def_15, type, archim1804426504_field: !>[X0: $tType]:($o)).
% 0.58/0.46 thf(func_def_16, type, canoni770627133id_add: !>[X0: $tType]:($o)).
% 0.58/0.46 thf(func_def_17, type, unique1598680935umeral: !>[X0: $tType]:($o)).
% 0.58/0.46 thf(func_def_18, type, zero_zero: !>[X0: $tType]:(X0)).
% 0.58/0.46 thf(func_def_19, type, ring_1_of_int: !>[X0: $tType]:((int > X0))).
% 0.58/0.46 thf(func_def_20, type, suc: (nat > nat)).
% 0.58/0.46 thf(func_def_21, type, nthRoo220209705d_root: (nat > nat > $o)).
% 0.58/0.46 thf(func_def_22, type, ord_less: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.58/0.46 thf(func_def_23, type, ord_less_eq: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.58/0.46 thf(func_def_24, type, power_power: !>[X0: $tType]:((X0 > nat > X0))).
% 0.58/0.46 thf(func_def_25, type, divide_divide: !>[X0: $tType]:((X0 > X0 > X0))).
% 0.58/0.46 thf(func_def_26, type, ny: real).
% 0.58/0.46 thf(func_def_27, type, na: int).
% 0.58/0.46 thf(func_def_28, type, p: nat).
% 0.58/0.46 thf(func_def_29, type, pm: nat).
% 0.58/0.46 thf(func_def_30, type, x: int).
% 0.58/0.46 thf(func_def_31, type, y: int).
% 0.58/0.46 thf(func_def_32, type, ya: int).
% 0.58/0.46 thf(func_def_36, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.58/0.46 thf(func_def_37, type, vAND: ($o > $o > $o)).
% 0.58/0.46 thf(func_def_38, type, db0: !>[X0: $tType]:(X0)).
% 0.58/0.46 thf(func_def_39, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.58/0.46 thf(func_def_40, type, vOR: ($o > $o > $o)).
% 0.58/0.46 thf(func_def_41, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.58/0.46 thf(func_def_42, type, vNOT: ($o > $o)).
% 0.58/0.46 thf(func_def_43, type, db1: !>[X0: $tType]:(X0)).
% 0.58/0.46 thf(func_def_44, type, vIMP: ($o > $o > $o)).
% 0.58/0.46 thf(func_def_45, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.58/0.46 thf(func_def_46, type, sK0: ((nat > nat > $o) > nat)).
% 0.58/0.46 thf(func_def_47, type, sK1: ((nat > nat > $o) > nat)).
% 0.58/0.46 thf(func_def_48, type, sK2: ((nat > nat > $o) > nat)).
% 0.58/0.46 thf(func_def_49, type, sK3: ((nat > nat > $o) > nat)).
% 0.58/0.46 thf(func_def_50, type, sK4: ((nat > nat > $o) > nat)).
% 0.58/0.46 thf(func_def_51, type, sK5: ((nat > nat > $o) > nat)).
% 0.58/0.46 thf(func_def_52, type, sK6: ((nat > nat > $o) > nat)).
% 0.58/0.46 thf(func_def_53, type, sK7: ((nat > nat > $o) > nat)).
% 0.58/0.46 thf(func_def_54, type, sK8: ((nat > $o) > nat > nat)).
% 0.58/0.46 thf(func_def_55, type, sK9: ((nat > $o) > nat > nat)).
% 0.58/0.46 thf(func_def_56, type, sK10: ((nat > $o) > nat)).
% 0.58/0.46 thf(func_def_57, type, sK11: ((nat > $o) > nat)).
% 0.58/0.46 thf(func_def_58, type, sK12: (nat > nat > nat)).
% 0.58/0.46 thf(func_def_59, type, sK13: (nat > nat)).
% 0.58/0.46 thf(func_def_60, type, sK14: ((nat > nat) > nat)).
% 0.58/0.46 thf(func_def_61, type, sK15: ((nat > nat) > nat)).
% 0.58/0.46 thf(func_def_62, type, sK16: (nat > real > real)).
% 0.58/0.46 thf(func_def_63, type, sK17: ((nat > $o) > nat)).
% 0.58/0.46 thf(func_def_64, type, sK18: ((nat > $o) > nat)).
% 0.58/0.46 thf(func_def_65, type, sK19: (nat > (nat > $o) > nat)).
% 0.58/0.46 thf(func_def_66, type, sK20: ((nat > nat > $o) > nat)).
% 0.58/0.46 thf(func_def_67, type, sK21: ((nat > nat > $o) > nat)).
% 0.58/0.46 thf(func_def_68, type, sK22: ((nat > nat > $o) > nat)).
% 0.58/0.46 thf(func_def_69, type, sK23: ((nat > nat > $o) > nat)).
% 0.58/0.46 thf(func_def_70, type, sK24: ((nat > nat > $o) > nat)).
% 0.58/0.46 thf(func_def_71, type, sK25: (nat > nat)).
% 0.58/0.46 thf(func_def_72, type, sK26: !>[X0: $tType]:(((X0 > $o) > (X0 > nat) > X0))).
% 0.58/0.46 thf(func_def_73, type, sK27: (nat > (nat > $o) > nat)).
% 0.58/0.46 thf(func_def_74, type, sK28: ((nat > $o) > nat)).
% 0.58/0.46 thf(func_def_75, type, sK29: (nat > (nat > $o) > nat > nat)).
% 0.58/0.46 thf(func_def_76, type, sK30: ((nat > $o) > nat)).
% 0.58/0.46 thf(func_def_77, type, sK31: ((nat > $o) > nat)).
% 0.58/0.46 thf(func_def_78, type, sK32: (nat > nat)).
% 0.58/0.46 thf(func_def_79, type, sK33: ((nat > $o) > nat)).
% 0.58/0.46 thf(func_def_80, type, sK34: (nat > nat > nat)).
% 0.58/0.46 thf(func_def_81, type, sK35: ((nat > $o) > nat)).
% 0.58/0.46 thf(func_def_82, type, sK36: (nat > nat)).
% 0.58/0.46 thf(func_def_83, type, sK37: (nat > (nat > $o) > nat > nat)).
% 0.58/0.46 thf(func_def_84, type, sK38: (nat > real > real)).
% 0.58/0.46 thf(func_def_85, type, sK39: ((nat > $o) > nat > nat)).
% 0.58/0.46 thf(func_def_86, type, sK40: ((nat > $o) > nat > nat)).
% 0.58/0.46 thf(func_def_87, type, sK41: (nat > real > real)).
% 0.58/0.46 thf(func_def_88, type, sK42: !>[X0: $tType]:(((X0 > $o) > (X0 > nat) > X0))).
% 0.58/0.46 thf(func_def_89, type, sK43: !>[X0: $tType]:(((X0 > $o) > (X0 > nat) > X0))).
% 0.58/0.46 thf(f3,axiom,(
% 0.58/0.46 ! [X0 : $tType] : (linordered_idom @ X0 => ! [X3 : nat,X2 : int,X1 : int] : (((ord_less @ X0 @ (ring_1_of_int @ X0 @ X1) @ (power_power @ X0 @ (ring_1_of_int @ X0 @ X2) @ X3))) = ((ord_less @ int @ X1 @ (power_power @ int @ X2 @ X3)))))),
% 0.58/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2_of__int__power__less__of__int__cancel__iff)).
% 0.58/0.46 thf(f61,axiom,(
% 0.58/0.46 (ord_less @ int @ na @ (power_power @ int @ ya @ p))),
% 0.58/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_60_yyn)).
% 0.58/0.46 thf(f66,axiom,(
% 0.58/0.46 (p = ((suc @ pm)))),
% 0.58/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_65_p)).
% 0.58/0.46 thf(f282,axiom,(
% 0.58/0.46 linordered_idom @ real),
% 0.58/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Olinordered__idom_13)).
% 0.58/0.46 thf(f292,conjecture,(
% 0.58/0.46 (ord_less @ real @ (ring_1_of_int @ real @ na) @ (power_power @ real @ (ring_1_of_int @ real @ ya) @ (suc @ pm)))),
% 0.58/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)).
% 0.58/0.46 thf(f293,negated_conjecture,(
% 0.58/0.46 ~(ord_less @ real @ (ring_1_of_int @ real @ na) @ (power_power @ real @ (ring_1_of_int @ real @ ya) @ (suc @ pm)))),
% 0.58/0.46 inference(negated_conjecture,[status(cth)],[f292])).
% 0.58/0.46 thf(f675,plain,(
% 0.58/0.46 ! [X0 : $tType] : (linordered_idom @ X0 => ! [X1 : nat,X2 : int,X3 : int] : (((ord_less @ X0 @ (ring_1_of_int @ X0 @ X3) @ (power_power @ X0 @ (ring_1_of_int @ X0 @ X2) @ X1))) = ((ord_less @ int @ X3 @ (power_power @ int @ X2 @ X1)))))),
% 0.58/0.46 inference(rectify,[],[f3])).
% 0.58/0.46 thf(f676,plain,(
% 0.58/0.46 ! [X0 : $tType] : ((linordered_idom @ X0 = $true) => ! [X2 : int,X3 : int,X1 : nat] : (((ord_less @ X0 @ (ring_1_of_int @ X0 @ X3) @ (power_power @ X0 @ (ring_1_of_int @ X0 @ X2) @ X1))) = ((ord_less @ int @ X3 @ (power_power @ int @ X2 @ X1)))))),
% 0.58/0.46 inference(fool_elimination,[],[f675])).
% 0.58/0.46 thf(f701,plain,(
% 0.58/0.46 (ord_less @ int @ na @ (power_power @ int @ ya @ p))),
% 0.58/0.46 inference(rectify,[],[f61])).
% 0.58/0.46 thf(f702,plain,(
% 0.58/0.46 (((ord_less @ int @ na @ (power_power @ int @ ya @ p))) = $true)),
% 0.58/0.46 inference(fool_elimination,[],[f701])).
% 0.58/0.46 thf(f705,plain,(
% 0.58/0.46 ~(ord_less @ real @ (ring_1_of_int @ real @ na) @ (power_power @ real @ (ring_1_of_int @ real @ ya) @ (suc @ pm)))),
% 0.58/0.46 inference(rectify,[],[f293])).
% 0.58/0.46 thf(f706,plain,(
% 0.58/0.46 ~ (((ord_less @ real @ (ring_1_of_int @ real @ na) @ (power_power @ real @ (ring_1_of_int @ real @ ya) @ (suc @ pm)))) = $true)),
% 0.58/0.46 inference(fool_elimination,[],[f705])).
% 0.58/0.46 thf(f739,plain,(
% 0.58/0.46 linordered_idom @ real),
% 0.58/0.46 inference(rectify,[],[f282])).
% 0.58/0.46 thf(f740,plain,(
% 0.58/0.46 (linordered_idom @ real = $true)),
% 0.58/0.46 inference(fool_elimination,[],[f739])).
% 0.58/0.46 thf(f820,plain,(
% 0.58/0.46 (((ord_less @ real @ (ring_1_of_int @ real @ na) @ (power_power @ real @ (ring_1_of_int @ real @ ya) @ (suc @ pm)))) != $true)),
% 0.58/0.46 inference(flattening,[],[f706])).
% 0.58/0.46 thf(f866,plain,(
% 0.58/0.46 ! [X0 : $tType] : ((linordered_idom @ X0 != $true) | ! [X2 : int,X3 : int,X1 : nat] : (((ord_less @ X0 @ (ring_1_of_int @ X0 @ X3) @ (power_power @ X0 @ (ring_1_of_int @ X0 @ X2) @ X1))) = ((ord_less @ int @ X3 @ (power_power @ int @ X2 @ X1)))))),
% 0.58/0.46 inference(ennf_transformation,[],[f676])).
% 0.58/0.46 thf(f1037,plain,(
% 0.58/0.46 ! [X0 : $tType] : ((linordered_idom @ X0 != $true) | ! [X1 : int,X2 : int,X3 : nat] : (((ord_less @ int @ X2 @ (power_power @ int @ X1 @ X3))) = ((ord_less @ X0 @ (ring_1_of_int @ X0 @ X2) @ (power_power @ X0 @ (ring_1_of_int @ X0 @ X1) @ X3)))))),
% 0.58/0.46 inference(rectify,[],[f866])).
% 0.58/0.46 thf(f1061,plain,(
% 0.58/0.46 (((ord_less @ int @ na @ (power_power @ int @ ya @ p))) = $true)),
% 0.58/0.46 inference(cnf_transformation,[],[f702])).
% 0.58/0.46 thf(f1071,plain,(
% 0.58/0.46 (p = ((suc @ pm)))),
% 0.58/0.46 inference(cnf_transformation,[],[f66])).
% 0.58/0.46 thf(f1139,plain,(
% 0.58/0.46 (((ord_less @ real @ (ring_1_of_int @ real @ na) @ (power_power @ real @ (ring_1_of_int @ real @ ya) @ (suc @ pm)))) != $true)),
% 0.58/0.46 inference(cnf_transformation,[],[f820])).
% 0.58/0.46 thf(f1161,plain,(
% 0.58/0.46 (linordered_idom @ real = $true)),
% 0.58/0.46 inference(cnf_transformation,[],[f740])).
% 0.58/0.46 thf(f1215,plain,(
% 0.58/0.46 ( ! [X0 : $tType,X2 : int,X3 : nat,X1 : int] : ((((ord_less @ int @ X2 @ (power_power @ int @ X1 @ X3))) = ((ord_less @ X0 @ (ring_1_of_int @ X0 @ X2) @ (power_power @ X0 @ (ring_1_of_int @ X0 @ X1) @ X3)))) | (linordered_idom @ X0 != $true)) )),
% 0.58/0.46 inference(cnf_transformation,[],[f1037])).
% 0.58/0.46 thf(f1236,plain,(
% 0.58/0.46 (((ord_less @ real @ (ring_1_of_int @ real @ na) @ (power_power @ real @ (ring_1_of_int @ real @ ya) @ p))) != $true)),
% 0.58/0.46 inference(forward_demodulation,[],[f1139,f1071])).
% 0.58/0.46 thf(f1237,plain,(
% 0.58/0.46 (linordered_idom @ real != $true) | (((ord_less @ int @ na @ (power_power @ int @ ya @ p))) != $true)),
% 0.58/0.46 inference(superposition,[],[f1236,f1215])).
% 0.58/0.46 thf(f1240,plain,(
% 0.58/0.46 (((ord_less @ int @ na @ (power_power @ int @ ya @ p))) != $true)),
% 0.58/0.46 inference(forward_subsumption_resolution,[],[f1237,f1161])).
% 0.58/0.46 thf(f1241,plain,(
% 0.58/0.46 $false),
% 0.58/0.46 inference(forward_subsumption_resolution,[],[f1240,f1061])).
% 0.58/0.46 % SZS output end Proof for theBenchmark
% 0.58/0.46 % (3659227)------------------------------
% 0.58/0.46 % (3659227)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.58/0.46 % (3659227)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.58/0.46 % (3659227)CaDiCaL version: 2.1.3
% 0.58/0.46 % (3659227)Termination reason: Refutation
% 0.58/0.46 % (3659227)Time elapsed: 0.041 s
% 0.58/0.46 % (3659227)Peak memory usage: 13 MB
% 0.58/0.46 % (3659227)Instructions burned: 62 (million)
% 0.58/0.46 % (3659191)Success in time 0.181 s
% 0.58/0.46 % Vampire exiting
%------------------------------------------------------------------------------