%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP421-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n004.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 10:17:47 AM UTC 2026
% Result : Unsatisfiable 1.64s 0.71s
% Output : Refutation 1.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 2
% Syntax : Number of formulae : 13 ( 13 unt; 0 def)
% Number of atoms : 13 ( 12 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 11 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 40 ( 40 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),multiply(inverse(X2),inverse(multiply(inverse(X2),X2))))))),multiply(X0,X2))) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,negated_conjecture,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_1) ).
fof(f3,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(X2,inverse(multiply(inverse(X0),multiply(inverse(X3),inverse(multiply(inverse(X3),X3))))))),multiply(X2,X3)) = inverse(multiply(inverse(multiply(X1,inverse(multiply(X0,multiply(inverse(X4),inverse(multiply(inverse(X4),X4))))))),multiply(X1,X4))),
inference(superposition,[],[f1,f1]) ).
fof(f5,plain,
! [X2,X0,X1] : multiply(inverse(X2),inverse(multiply(inverse(X0),multiply(inverse(inverse(multiply(inverse(X2),X2))),inverse(multiply(inverse(inverse(multiply(inverse(X2),X2))),inverse(multiply(inverse(X2),X2)))))))) = inverse(multiply(inverse(multiply(X1,X0)),multiply(X1,X2))),
inference(superposition,[],[f1,f1]) ).
fof(f12,plain,
! [X2,X3,X0,X1] : inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,X2))) = inverse(multiply(inverse(multiply(X3,X1)),multiply(X3,X2))),
inference(superposition,[],[f5,f5]) ).
fof(f64,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(inverse(multiply(X4,X1)),multiply(X4,X2)) = inverse(multiply(inverse(multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,X2))),multiply(inverse(X5),inverse(multiply(inverse(X5),X5))))))),multiply(X3,X5))),
inference(superposition,[],[f1,f12]) ).
fof(f65,plain,
! [X2,X0,X1,X4] : multiply(inverse(multiply(X0,X1)),multiply(X0,X2)) = multiply(inverse(multiply(X4,X1)),multiply(X4,X2)),
inference(forward_demodulation,[],[f64,f1]) ).
fof(f70,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(X4,multiply(X1,X2))),multiply(X4,X3)) = multiply(X0,multiply(inverse(multiply(X1,inverse(multiply(inverse(X0),multiply(inverse(X2),inverse(multiply(inverse(X2),X2))))))),X3)),
inference(superposition,[],[f65,f1]) ).
fof(f2057,plain,
! [X2,X0,X1] : multiply(inverse(multiply(X1,inverse(multiply(inverse(inverse(X0)),multiply(inverse(X2),inverse(multiply(inverse(X2),X2))))))),multiply(X1,X2)) = X0,
inference(superposition,[],[f3,f1]) ).
fof(f2319,plain,
! [X2,X3,X0,X1] : multiply(inverse(X0),X0) = multiply(inverse(multiply(X1,multiply(X2,X3))),multiply(X1,multiply(X2,X3))),
inference(superposition,[],[f70,f2057]) ).
fof(f2471,plain,
! [X0,X1] : multiply(inverse(X0),X0) = multiply(inverse(X1),X1),
inference(superposition,[],[f2319,f2057]) ).
fof(f2938,plain,
! [X0] : multiply(inverse(a1),a1) != multiply(inverse(X0),X0),
inference(superposition,[],[f2,f2471]) ).
fof(f3017,plain,
$false,
inference(forward_subsumption_resolution,[],[f2938,f2471]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP421-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.39 % Computer : n004.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 10:03:52 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.42 Running first-order model finding
% 0.11/0.42 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
% 1.64/0.71 % (3269849)Will run a generic schedule for satisfiability detection.
% 1.64/0.71 % (3269858)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4094774508:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.64/0.71 % (3269855)% WARNING: option uhcvi not known.
% 1.64/0.71 % (3269854)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=634497863_2999 on theBenchmark for (2999ds/0Mi)
% 1.64/0.71 % (3269857)dis+10_1_sil=32000:sp=arity:random_seed=3008530018:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.64/0.71 % (3269855)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3093479434:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.64/0.71 % (3269856)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3054727504:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.64/0.71 % (3269859)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=446658957:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.64/0.71 % (3269860)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=379090026:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.64/0.71 % TRYING [1]
% 1.64/0.71 % TRYING [2]
% 1.64/0.71 % TRYING [3]
% 1.64/0.71 % TRYING [4]
% 1.64/0.71 % (3269858)Instruction limit reached!
% 1.64/0.71 % (3269858)------------------------------
% 1.64/0.71 % (3269858)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.64/0.71 % (3269858)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.64/0.71 % (3269858)CaDiCaL version: 2.1.3
% 1.64/0.71 % (3269858)Termination reason: Instruction limit
% 1.64/0.71 % (3269858)Termination phase: Saturation
% 1.64/0.71 % (3269858)Time elapsed: 0.035 s
% 1.64/0.71 % (3269858)Peak memory usage: 12 MB
% 1.64/0.71 % (3269858)Instructions burned: 117 (million)
% 1.64/0.71 % (3269868)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3314255436:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.64/0.71 % TRYING [1]
% 1.64/0.71 % TRYING [2]
% 1.64/0.71 % TRYING [3]
% 1.64/0.71 % TRYING [4]
% 1.64/0.71 % (3269857)Instruction limit reached!
% 1.64/0.71 % (3269857)------------------------------
% 1.64/0.71 % (3269857)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.64/0.71 % (3269857)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.64/0.71 % (3269857)CaDiCaL version: 2.1.3
% 1.64/0.71 % (3269857)Termination reason: Instruction limit
% 1.64/0.71 % (3269857)Termination phase: Saturation
% 1.64/0.71 % (3269857)Time elapsed: 0.053 s
% 1.64/0.71 % (3269857)Peak memory usage: 11 MB
% 1.64/0.71 % (3269857)Instructions burned: 105 (million)
% 1.64/0.71 % (3269870)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1258199929:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 1.64/0.71 % (3269859)Instruction limit reached!
% 1.64/0.71 % (3269859)------------------------------
% 1.64/0.71 % (3269859)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.64/0.71 % (3269859)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.64/0.71 % (3269859)CaDiCaL version: 2.1.3
% 1.64/0.71 % (3269859)Termination reason: Instruction limit
% 1.64/0.71 % (3269859)Termination phase: Saturation
% 1.64/0.71 % (3269859)Time elapsed: 0.076 s
% 1.64/0.71 % (3269859)Peak memory usage: 13 MB
% 1.64/0.71 % (3269859)Instructions burned: 132 (million)
% 1.64/0.71 % (3269872)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=1060610441:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.64/0.71 % (3269860)Instruction limit reached!
% 1.64/0.71 % (3269860)------------------------------
% 1.64/0.71 % (3269860)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.64/0.71 % (3269860)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.64/0.71 % (3269860)CaDiCaL version: 2.1.3
% 1.64/0.71 % (3269860)Termination reason: Instruction limit
% 1.64/0.71 % (3269860)Termination phase: Saturation
% 1.64/0.71 % (3269860)Time elapsed: 0.098 s
% 1.64/0.71 % (3269860)Peak memory usage: 14 MB
% 1.64/0.71 % (3269860)Instructions burned: 160 (million)
% 1.64/0.71 % (3269874)ott-21_1_sil=16000:fs=off:random_seed=613564853:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.64/0.71 % (3269870)Instruction limit reached!
% 1.64/0.71 % (3269870)------------------------------
% 1.64/0.71 % (3269870)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.64/0.71 % (3269870)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.64/0.71 % (3269870)CaDiCaL version: 2.1.3
% 1.64/0.71 % (3269870)Termination reason: Instruction limit
% 1.64/0.71 % (3269870)Termination phase: Saturation
% 1.64/0.71 % (3269870)Time elapsed: 0.076 s
% 1.64/0.71 % (3269870)Peak memory usage: 13 MB
% 1.64/0.71 % (3269870)Instructions burned: 132 (million)
% 1.64/0.71 % (3269876)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3951300036:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 1.64/0.71 % (3269874)Instruction limit reached!
% 1.64/0.71 % (3269874)------------------------------
% 1.64/0.71 % (3269874)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.64/0.71 % (3269874)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.64/0.71 % (3269874)CaDiCaL version: 2.1.3
% 1.64/0.71 % (3269874)Termination reason: Instruction limit
% 1.64/0.71 % (3269874)Termination phase: Saturation
% 1.64/0.71 % (3269874)Time elapsed: 0.086 s
% 1.64/0.71 % (3269874)Peak memory usage: 11 MB
% 1.64/0.71 % (3269874)Instructions burned: 180 (million)
% 1.64/0.71 % (3269878)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3638444536:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 1.64/0.71 % TRYING [1]
% 1.64/0.71 % TRYING [2]
% 1.64/0.71 % TRYING [3]
% 1.64/0.71 % (3269872) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3269849-3269872"...
% 1.64/0.71 % (3269872)...printing done.
% 1.64/0.71 % (3269872)Refutation found. Thanks to Tanya!
% 1.64/0.71 % SZS status Unsatisfiable for theBenchmark
% 1.64/0.71 % SZS output start Proof for theBenchmark
% See solution above
% 1.64/0.71 % (3269872)------------------------------
% 1.64/0.71 % (3269872)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.64/0.71 % (3269872)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.64/0.71 % (3269872)CaDiCaL version: 2.1.3
% 1.64/0.71 % (3269872)Termination reason: Refutation
% 1.64/0.71 % (3269872)Time elapsed: 0.139 s
% 1.64/0.71 % (3269872)Peak memory usage: 14 MB
% 1.64/0.71 % (3269872)Instructions burned: 278 (million)
% 1.64/0.71 % (3269849)Success in time 0.276 s
% 1.64/0.71 % Vampire exiting
%------------------------------------------------------------------------------