%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ARI603_1 : TPTP v9.3.1. Released v5.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n026.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 : Tue Sep 29 09:34:57 AM UTC 2026
% Result : Theorem 1.66s 0.47s
% Output : Refutation 1.66s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ARI603_1 : TPTP v9.3.1. Released v5.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.20 % Computer : n026.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.21 % CPULimit : 300
% 0.08/0.21 % WCLimit : 300
% 0.08/0.21 % DateTime : Mon Sep 28 20:56:12 UTC 2026
% 0.08/0.21 % CPUTime :
% 0.08/0.21 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.24 Running first-order model finding
% 0.08/0.24 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.66/0.47 % (60040)Will run a generic schedule for satisfiability detection.
% 1.66/0.47 % (60051)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3528424511:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_3000 on theBenchmark for (3000ds/159Mi)
% 1.66/0.47 % (60046)% WARNING: option uhcvi not known.
% 1.66/0.47 % (60046)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2986965628:i=135531:add=off:rawr=on_3000 on theBenchmark for (3000ds/135531Mi)
% 1.66/0.47 % (60045)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2831928504_3000 on theBenchmark for (3000ds/0Mi)
% 1.66/0.47 % (60048)dis+10_1_sil=32000:sp=arity:random_seed=1489079170:i=103:fgj=on_3000 on theBenchmark for (3000ds/103Mi)
% 1.66/0.47 % (60047)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3901567078:i=88024:add=on:rawr=on_3000 on theBenchmark for (3000ds/88024Mi)
% 1.66/0.47 % (60050)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=685042064:i=131_3000 on theBenchmark for (3000ds/131Mi)
% 1.66/0.47 % (60049)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=795880599:i=116_3000 on theBenchmark for (3000ds/116Mi)
% 1.66/0.47 % (60045)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 1.66/0.47 % (60045)Terminated due to inappropriate strategy.
% 1.66/0.47 % (60045)------------------------------
% 1.66/0.47 % (60045)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.66/0.47 % (60045)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.66/0.47 % (60045)CaDiCaL version: 2.1.3
% 1.66/0.47 % (60045)Termination reason: Inappropriate
% 1.66/0.47 % (60045)Time elapsed: 0.0000 s
% 1.66/0.47 % (60045)Peak memory usage: 10 MB
% 1.66/0.47 % (60045)------------------------------
% 1.66/0.47 % (60045)------------------------------
% 1.66/0.47 % (60059)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2760743372:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.66/0.47 % (60059)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 1.66/0.47 % (60059)Terminated due to inappropriate strategy.
% 1.66/0.47 % (60059)------------------------------
% 1.66/0.47 % (60059)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.66/0.47 % (60059)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.66/0.47 % (60059)CaDiCaL version: 2.1.3
% 1.66/0.47 % (60059)Termination reason: Inappropriate
% 1.66/0.47 % (60059)Time elapsed: 0.0000 s
% 1.66/0.47 % (60059)Peak memory usage: 10 MB
% 1.66/0.47 % (60059)------------------------------
% 1.66/0.47 % (60059)------------------------------
% 1.66/0.47 % (60061)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=4223890798:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 1.66/0.47 % (60051)Instruction limit reached!
% 1.66/0.47 % (60051)------------------------------
% 1.66/0.47 % (60051)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.66/0.47 % (60051)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.66/0.47 % (60051)CaDiCaL version: 2.1.3
% 1.66/0.47 % (60051)Termination reason: Instruction limit
% 1.66/0.47 % (60051)Termination phase: Saturation
% 1.66/0.47 % (60051)Time elapsed: 0.060 s
% 1.66/0.47 % (60051)Peak memory usage: 13 MB
% 1.66/0.47 % (60051)Instructions burned: 160 (million)
% 1.66/0.47 % (60068)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=2939614685:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 1.66/0.47 % (60048)Instruction limit reached!
% 1.66/0.47 % (60048)------------------------------
% 1.66/0.47 % (60048)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.66/0.47 % (60048)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.66/0.47 % (60048)CaDiCaL version: 2.1.3
% 1.66/0.47 % (60048)Termination reason: Instruction limit
% 1.66/0.47 % (60048)Termination phase: Saturation
% 1.66/0.47 % (60048)Time elapsed: 0.064 s
% 1.66/0.47 % (60048)Peak memory usage: 12 MB
% 1.66/0.47 % (60048)Instructions burned: 103 (million)
% 1.66/0.47 % (60049)Instruction limit reached!
% 1.66/0.47 % (60049)------------------------------
% 1.66/0.47 % (60049)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.66/0.47 % (60049)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.66/0.47 % (60049)CaDiCaL version: 2.1.3
% 1.66/0.47 % (60049)Termination reason: Instruction limit
% 1.66/0.47 % (60049)Termination phase: Saturation
% 1.66/0.47 % (60049)Time elapsed: 0.068 s
% 1.66/0.47 % (60049)Peak memory usage: 12 MB
% 1.66/0.47 % (60049)Instructions burned: 116 (million)
% 1.66/0.47 % (60070)ott-21_1_sil=16000:fs=off:random_seed=2951897657:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 1.66/0.47 % (60050)Instruction limit reached!
% 1.66/0.47 % (60050)------------------------------
% 1.66/0.47 % (60050)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.66/0.47 % (60050)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.66/0.47 % (60050)CaDiCaL version: 2.1.3
% 1.66/0.47 % (60050)Termination reason: Instruction limit
% 1.66/0.47 % (60050)Termination phase: Saturation
% 1.66/0.47 % (60050)Time elapsed: 0.084 s
% 1.66/0.47 % (60050)Peak memory usage: 12 MB
% 1.66/0.47 % (60050)Instructions burned: 131 (million)
% 1.66/0.47 % (60073)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2001477792:i=477:bd=all_2999 on theBenchmark for (2999ds/477Mi)
% 1.66/0.47 % (60082)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2886841847:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 1.66/0.47 % (60082)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 1.66/0.47 % (60082)Terminated due to inappropriate strategy.
% 1.66/0.47 % (60082)------------------------------
% 1.66/0.47 % (60082)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.66/0.47 % (60082)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.66/0.47 % (60082)CaDiCaL version: 2.1.3
% 1.66/0.47 % (60082)Termination reason: Inappropriate
% 1.66/0.47 % (60082)Time elapsed: 0.0000 s
% 1.66/0.47 % (60082)Peak memory usage: 10 MB
% 1.66/0.47 % (60082)------------------------------
% 1.66/0.47 % (60082)------------------------------
% 1.66/0.47 % (60096)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1249501639:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 1.66/0.47 % (60061)Instruction limit reached!
% 1.66/0.47 % (60061)------------------------------
% 1.66/0.47 % (60061)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.66/0.47 % (60061)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.66/0.47 % (60061)CaDiCaL version: 2.1.3
% 1.66/0.47 % (60061)Termination reason: Instruction limit
% 1.66/0.47 % (60061)Termination phase: Saturation
% 1.66/0.47 % (60061)Time elapsed: 0.089 s
% 1.66/0.47 % (60061)Peak memory usage: 13 MB
% 1.66/0.47 % (60061)Instructions burned: 131 (million)
% 1.66/0.47 % (60113)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1310148114:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 1.66/0.47 % (60113)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 1.66/0.47 % (60113)Terminated due to inappropriate strategy.
% 1.66/0.47 % (60113)------------------------------
% 1.66/0.47 % (60113)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.66/0.47 % (60113)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.66/0.47 % (60113)CaDiCaL version: 2.1.3
% 1.66/0.47 % (60113)Termination reason: Inappropriate
% 1.66/0.47 % (60113)Time elapsed: 0.0000 s
% 1.66/0.47 % (60113)Peak memory usage: 10 MB
% 1.66/0.47 % (60113)------------------------------
% 1.66/0.47 % (60113)------------------------------
% 1.66/0.47 % (60070)Instruction limit reached!
% 1.66/0.47 % (60070)------------------------------
% 1.66/0.47 % (60070)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.66/0.47 % (60070)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.66/0.47 % (60070)CaDiCaL version: 2.1.3
% 1.66/0.47 % (60070)Termination reason: Instruction limit
% 1.66/0.47 % (60070)Termination phase: Saturation
% 1.66/0.47 % (60070)Time elapsed: 0.079 s
% 1.66/0.47 % (60070)Peak memory usage: 12 MB
% 1.66/0.47 % (60070)Instructions burned: 180 (million)
% 1.66/0.47 % (60118)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=2936929692:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2998 on theBenchmark for (2998ds/692Mi)
% 1.66/0.47 % (60123)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1546457971:i=879:kws=inv_precedence:fsr=off_2998 on theBenchmark for (2998ds/879Mi)
% 1.66/0.47 % (60118) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-60040-60118"...
% 1.66/0.47 % (60118)...printing done.
% 1.66/0.47 % (60118)Refutation found. Thanks to Tanya!
% 1.66/0.47 % SZS status Theorem for theBenchmark
% 1.66/0.47 % SZS output start Proof for theBenchmark
% 1.66/0.47 tff(func_def_0, type, f: $int > $int).
% 1.66/0.47 tff(func_def_5, type, sK0: $int).
% 1.66/0.47 tff(func_def_6, type, sK1: $int).
% 1.66/0.47 tff(f1,conjecture,(
% 1.66/0.47 ! [X0 : $int] : $greater(f(X0),X0) => ! [X1 : $int,X2 : $int] : ? [X0 : $int] : $less(X1,$sum(X2,f(X0)))),
% 1.66/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fX_gt_X_implies_exist_large_fX)).
% 1.66/0.47 tff(f2,negated_conjecture,(
% 1.66/0.47 ~(! [X0 : $int] : $greater(f(X0),X0) => ! [X1 : $int,X2 : $int] : ? [X0 : $int] : $less(X1,$sum(X2,f(X0))))),
% 1.66/0.47 inference(negated_conjecture,[status(cth)],[f1])).
% 1.66/0.47 tff(f3,plain,(
% 1.66/0.47 ~(! [X0 : $int] : $less(X0,f(X0)) => ! [X1 : $int,X2 : $int] : ? [X0 : $int] : $less(X1,$sum(X2,f(X0))))),
% 1.66/0.47 inference(theory_normalization,[],[f2])).
% 1.66/0.47 tff(f4,definition,(
% 1.66/0.47 ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 1.66/0.47 introduced(theory,[tha_commutativity])).
% 1.66/0.47 tff(f5,definition,(
% 1.66/0.47 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )),
% 1.66/0.47 introduced(theory,[tha_associativity])).
% 1.66/0.47 tff(f8,definition,(
% 1.66/0.47 ( ! [X0 : $int] : (0 = $sum(X0,$uminus(X0))) )),
% 1.66/0.47 introduced(theory,[tha_inverse_op_unit])).
% 1.66/0.47 tff(f12,definition,(
% 1.66/0.47 ( ! [X2 : $int,X0 : $int,X1 : $int] : (~$less(X0,X1) | $less($sum(X0,X2),$sum(X1,X2))) )),
% 1.66/0.47 introduced(theory,[tha_order_monotonicity])).
% 1.66/0.47 tff(f14,definition,(
% 1.66/0.47 ( ! [X0 : $int] : ($uminus($uminus(X0)) = X0) )),
% 1.66/0.47 introduced(theory,[tha_minus_minus_x])).
% 1.66/0.47 tff(f16,plain,(
% 1.66/0.47 ~(! [X0 : $int] : $less(X0,f(X0)) => ! [X1 : $int,X2 : $int] : ? [X3 : $int] : $less(X1,$sum(X2,f(X3))))),
% 1.66/0.47 inference(rectify,[],[f3])).
% 1.66/0.47 tff(f17,plain,(
% 1.66/0.47 ? [X1 : $int,X2 : $int] : ! [X3 : $int] : ~$less(X1,$sum(X2,f(X3))) & ! [X0 : $int] : $less(X0,f(X0))),
% 1.66/0.47 inference(ennf_transformation,[],[f16])).
% 1.66/0.47 tff(f18,plain,(
% 1.66/0.47 ( ! [X0 : $int] : ($less(X0,f(X0))) )),
% 1.66/0.47 inference(cnf_transformation,[],[f17])).
% 1.66/0.47 tff(f19,plain,(
% 1.66/0.47 ( ! [X3 : $int] : (~$less(sK0,$sum(sK1,f(X3)))) )),
% 1.66/0.47 inference(cnf_transformation,[],[f17])).
% 1.66/0.47 tff(f42,plain,(
% 1.66/0.47 ( ! [X0 : $int,X1 : $int] : ($less($sum(X0,X1),$sum(f(X0),X1))) )),
% 1.66/0.47 inference(resolution,[],[f12,f18])).
% 1.66/0.47 tff(f369,plain,(
% 1.66/0.47 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($less($sum(X0,$sum(X1,X2)),$sum(f($sum(X0,X1)),X2))) )),
% 1.66/0.47 inference(superposition,[],[f42,f5])).
% 1.66/0.47 tff(f1094,plain,(
% 1.66/0.47 ( ! [X0 : $int,X1 : $int] : ($less($sum(X0,0),$sum(f($sum(X0,X1)),$uminus(X1)))) )),
% 1.66/0.47 inference(superposition,[],[f369,f8])).
% 1.66/0.47 tff(f1112,plain,(
% 1.66/0.47 ( ! [X0 : $int,X1 : $int] : ($less(X0,$sum(f($sum(X0,X1)),$uminus(X1)))) )),
% 1.66/0.47 inference(evaluation,[],[f1094])).
% 1.66/0.47 tff(f1119,plain,(
% 1.66/0.47 ( ! [X0 : $int,X1 : $int] : ($less(X0,$sum($uminus(X1),f($sum(X0,X1))))) )),
% 1.66/0.47 inference(forward_demodulation,[],[f1112,f4])).
% 1.66/0.47 tff(f1267,plain,(
% 1.66/0.47 ( ! [X0 : $int,X1 : $int] : ($less(X1,$sum(X0,f($sum(X1,$uminus(X0)))))) )),
% 1.66/0.47 inference(superposition,[],[f1119,f14])).
% 1.66/0.47 tff(f1309,plain,(
% 1.66/0.47 $false),
% 1.66/0.47 inference(resolution,[],[f1267,f19])).
% 1.66/0.47 % SZS output end Proof for theBenchmark
% 1.66/0.47 % (60118)------------------------------
% 1.66/0.47 % (60118)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.66/0.47 % (60118)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.66/0.47 % (60118)CaDiCaL version: 2.1.3
% 1.66/0.47 % (60118)Termination reason: Refutation
% 1.66/0.47 % (60118)Time elapsed: 0.037 s
% 1.66/0.47 % (60118)Peak memory usage: 13 MB
% 1.66/0.47 % (60118)Instructions burned: 54 (million)
% 1.66/0.47 % (60040)Success in time 0.229 s
% 1.66/0.47 % Vampire exiting
%------------------------------------------------------------------------------