%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ALG235-1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n009.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 09:29:54 AM UTC 2026
% Result : Unsatisfiable 1.35s 0.54s
% Output : Refutation 1.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 8 ( 8 unt; 0 def)
% Number of atoms : 8 ( 7 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 16 ( 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : mult(X0,mult(X1,mult(X0,X1))) = mult(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c01) ).
fof(f2,plain,
! [X0,X1] : mult(X0,X1) = mult(X0,mult(X1,mult(X0,X1))),
inference(reorient_equations,[],[f1]) ).
fof(f3,axiom,
! [X2,X3,X0,X1] : mult(X0,mult(X1,mult(X2,X3))) = mult(X2,mult(X1,mult(X0,X3))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c02) ).
fof(f5,negated_conjecture,
mult(a,mult(b,mult(a,mult(c,mult(d,c))))) != mult(a,mult(b,mult(d,c))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f13,plain,
! [X2,X3,X0,X1] : mult(X0,mult(X2,mult(X3,mult(X1,mult(X0,X1))))) = mult(X3,mult(X2,mult(X0,X1))),
inference(superposition,[],[f3,f2]) ).
fof(f418,plain,
! [X2,X3,X0,X1] : mult(X2,mult(X3,mult(X0,X1))) = mult(X0,mult(X3,mult(X0,mult(X1,mult(X2,X1))))),
inference(superposition,[],[f13,f3]) ).
fof(f479,plain,
mult(a,mult(b,mult(d,c))) != mult(d,mult(b,mult(a,c))),
inference(backward_demodulation,[],[f5,f418]) ).
fof(f506,plain,
$false,
inference(forward_subsumption_resolution,[],[f479,f3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG235-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.25 % Computer : n009.cluster.edu
% 0.11/0.25 % Model : x86_64 x86_64
% 0.11/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.25 % Memory : 8046.5625MB
% 0.11/0.25 % OS : Linux 6.8.0-71-generic
% 0.11/0.25 % CPULimit : 300
% 0.11/0.25 % WCLimit : 300
% 0.11/0.25 % DateTime : Mon Sep 28 19:56:49 UTC 2026
% 0.11/0.25 % CPUTime :
% 0.11/0.25 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.25/0.30 Running first-order model finding
% 0.25/0.30 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.35/0.54 % (3394739)Will run a generic schedule for satisfiability detection.
% 1.35/0.54 % (3394748)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3421036012:i=116_3000 on theBenchmark for (3000ds/116Mi)
% 1.35/0.54 % (3394745)% WARNING: option uhcvi not known.
% 1.35/0.54 % (3394745)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1338676183:i=135531:add=off:rawr=on_3000 on theBenchmark for (3000ds/135531Mi)
% 1.35/0.54 % (3394744)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3266814955_3000 on theBenchmark for (3000ds/0Mi)
% 1.35/0.54 % TRYING [1]
% 1.35/0.54 % (3394747)dis+10_1_sil=32000:sp=arity:random_seed=2669713777:i=103:fgj=on_3000 on theBenchmark for (3000ds/103Mi)
% 1.35/0.54 % (3394749)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2794070447:i=131_3000 on theBenchmark for (3000ds/131Mi)
% 1.35/0.54 % TRYING [2]
% 1.35/0.54 % (3394746)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2025572585:i=88024:add=on:rawr=on_3000 on theBenchmark for (3000ds/88024Mi)
% 1.35/0.54 % (3394750)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1754870917:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_3000 on theBenchmark for (3000ds/159Mi)
% 1.35/0.54 % TRYING [3]
% 1.35/0.54 % TRYING [4]
% 1.35/0.54 % (3394748)Instruction limit reached!
% 1.35/0.54 % (3394748)------------------------------
% 1.35/0.54 % (3394748)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.35/0.54 % (3394748)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.35/0.54 % (3394748)CaDiCaL version: 2.1.3
% 1.35/0.54 % (3394748)Termination reason: Instruction limit
% 1.35/0.54 % (3394748)Termination phase: Saturation
% 1.35/0.54 % (3394748)Time elapsed: 0.060 s
% 1.35/0.54 % (3394748)Peak memory usage: 12 MB
% 1.35/0.54 % (3394748)Instructions burned: 116 (million)
% 1.35/0.54 % (3394758)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3262043246:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.35/0.54 % TRYING [1]
% 1.35/0.54 % TRYING [2]
% 1.35/0.54 % TRYING [3]
% 1.35/0.54 % TRYING [4]
% 1.35/0.54 % (3394747)Instruction limit reached!
% 1.35/0.54 % (3394747)------------------------------
% 1.35/0.54 % (3394747)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.35/0.54 % (3394747)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.35/0.54 % (3394747)CaDiCaL version: 2.1.3
% 1.35/0.54 % (3394747)Termination reason: Instruction limit
% 1.35/0.54 % (3394747)Termination phase: Saturation
% 1.35/0.54 % (3394747)Time elapsed: 0.093 s
% 1.35/0.54 % (3394747)Peak memory usage: 12 MB
% 1.35/0.54 % (3394747)Instructions burned: 104 (million)
% 1.35/0.54 % (3394749)Instruction limit reached!
% 1.35/0.54 % (3394749)------------------------------
% 1.35/0.54 % (3394749)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.35/0.54 % (3394749)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.35/0.54 % (3394749)CaDiCaL version: 2.1.3
% 1.35/0.54 % (3394749)Termination reason: Instruction limit
% 1.35/0.54 % (3394749)Termination phase: Saturation
% 1.35/0.54 % (3394749)Time elapsed: 0.124 s
% 1.35/0.54 % (3394749)Peak memory usage: 12 MB
% 1.35/0.54 % (3394749)Instructions burned: 131 (million)
% 1.35/0.54 % (3394760)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1911354169:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 1.35/0.54 % (3394750)Instruction limit reached!
% 1.35/0.54 % (3394750)------------------------------
% 1.35/0.54 % (3394750)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.35/0.54 % (3394750)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.35/0.54 % (3394750)CaDiCaL version: 2.1.3
% 1.35/0.54 % (3394750)Termination reason: Instruction limit
% 1.35/0.54 % (3394750)Termination phase: Saturation
% 1.35/0.54 % (3394750)Time elapsed: 0.152 s
% 1.35/0.54 % (3394750)Peak memory usage: 12 MB
% 1.35/0.54 % (3394750)Instructions burned: 159 (million)
% 1.35/0.54 % (3394761)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=23188847:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.35/0.54 % (3394763)ott-21_1_sil=16000:fs=off:random_seed=2103925241:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.35/0.54 % (3394760) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3394739-3394760"...
% 1.35/0.54 % (3394760)...printing done.
% 1.35/0.54 % (3394760)Refutation found. Thanks to Tanya!
% 1.35/0.54 % SZS status Unsatisfiable for theBenchmark
% 1.35/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 1.35/0.54 % (3394760)------------------------------
% 1.35/0.54 % (3394760)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.35/0.54 % (3394760)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.35/0.54 % (3394760)CaDiCaL version: 2.1.3
% 1.35/0.54 % (3394760)Termination reason: Refutation
% 1.35/0.54 % (3394760)Time elapsed: 0.049 s
% 1.35/0.54 % (3394760)Peak memory usage: 12 MB
% 1.35/0.54 % (3394760)Instructions burned: 46 (million)
% 1.35/0.54 % (3394739)Success in time 0.225 s
% 1.35/0.54 % Vampire exiting
%------------------------------------------------------------------------------