%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP415-1 : 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 : n013.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 10:17:46 AM UTC 2026
% Result : Unsatisfiable 0.90s 0.61s
% Output : Refutation 0.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 2
% Syntax : Number of formulae : 15 ( 15 unt; 0 def)
% Number of atoms : 15 ( 14 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 16 ( 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(X0,inverse(multiply(inverse(multiply(inverse(multiply(X1,X0)),multiply(X1,inverse(X2)))),inverse(multiply(inverse(X0),X0)))))) = X2,
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(f4,plain,
! [X2,X3,X0,X1,X4] : multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X4,inverse(X0)))),inverse(multiply(inverse(X3),X3))))) = inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X2,X1)),multiply(X2,X0))),inverse(multiply(inverse(X1),X1)))))),
inference(superposition,[],[f1,f1]) ).
fof(f22,plain,
! [X2,X0,X1] : multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X2,X1)),multiply(X2,inverse(inverse(X0))))),inverse(multiply(inverse(X1),X1))))) = X0,
inference(superposition,[],[f4,f1]) ).
fof(f43,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(inverse(X0))))),inverse(multiply(inverse(X2),X2))) = inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X2,X1)),X0)),inverse(multiply(inverse(X1),X1)))))),
inference(superposition,[],[f1,f22]) ).
fof(f106,plain,
! [X2,X0,X1] : multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(inverse(multiply(X2,inverse(X0))))))),inverse(multiply(inverse(X2),X2))) = X0,
inference(superposition,[],[f43,f1]) ).
fof(f109,plain,
! [X2,X0,X1] : multiply(X1,inverse(inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X1,X0)),X2)),inverse(multiply(inverse(X0),X0)))))))) = X2,
inference(superposition,[],[f22,f43]) ).
fof(f177,plain,
! [X2,X3,X0,X1] : multiply(inverse(X3),X3) = inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,X3)),multiply(X2,inverse(inverse(multiply(X3,inverse(X0))))))),X1)),X0)),inverse(multiply(inverse(X1),X1)))))),
inference(superposition,[],[f1,f106]) ).
fof(f203,plain,
! [X2,X3,X0,X1] : multiply(X1,inverse(inverse(multiply(X2,inverse(multiply(inverse(X0),inverse(multiply(inverse(X2),X2)))))))) = inverse(inverse(multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),X3)),X0)),inverse(multiply(inverse(X3),X3))))))),
inference(superposition,[],[f109,f109]) ).
fof(f996,plain,
! [X0,X1] : multiply(inverse(X1),X1) = inverse(multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(multiply(inverse(X0),X0)),inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(X1),X1)))))))),
inference(superposition,[],[f177,f106]) ).
fof(f2211,plain,
! [X2,X0,X1] : multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(inverse(multiply(X1,inverse(multiply(inverse(X2),inverse(multiply(inverse(X1),X1))))))))) = X2,
inference(superposition,[],[f109,f203]) ).
fof(f2356,plain,
! [X2,X0,X1] : multiply(inverse(X2),X2) = multiply(inverse(multiply(X1,inverse(multiply(inverse(X0),X0)))),multiply(X1,inverse(multiply(inverse(X0),X0)))),
inference(superposition,[],[f2211,f996]) ).
fof(f2984,plain,
! [X0,X1] : multiply(inverse(X0),X0) = multiply(inverse(X1),X1),
inference(superposition,[],[f2356,f106]) ).
fof(f3452,plain,
! [X0] : multiply(inverse(X0),X0) != multiply(inverse(a1),a1),
inference(superposition,[],[f2,f2984]) ).
fof(f3511,plain,
$false,
inference(forward_subsumption_resolution,[],[f3452,f2984]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP415-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.39 % Computer : n013.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 10:03:07 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42 Running first-order model finding
% 0.12/0.42 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
% 0.90/0.61 % (4169859)Will run a generic schedule for satisfiability detection.
% 0.90/0.61 % (4169866)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2458683023:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.90/0.61 % (4169865)% WARNING: option uhcvi not known.
% 0.90/0.61 % (4169864)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=478634898_2999 on theBenchmark for (2999ds/0Mi)
% 0.90/0.61 % (4169865)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=71270114:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.90/0.61 % (4169867)dis+10_1_sil=32000:sp=arity:random_seed=2662489108:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.90/0.61 % (4169869)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3120000231:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.90/0.61 % (4169868)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1785717430:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.90/0.61 % (4169870)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=822691022:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.90/0.61 % TRYING [1]
% 0.90/0.61 % TRYING [2]
% 0.90/0.61 % TRYING [3]
% 0.90/0.61 % (4169867)Instruction limit reached!
% 0.90/0.61 % (4169867)------------------------------
% 0.90/0.61 % (4169867)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.61 % (4169867)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.61 % (4169867)CaDiCaL version: 2.1.3
% 0.90/0.61 % (4169867)Termination reason: Instruction limit
% 0.90/0.61 % (4169867)Termination phase: Saturation
% 0.90/0.61 % (4169867)Time elapsed: 0.052 s
% 0.90/0.61 % (4169867)Peak memory usage: 11 MB
% 0.90/0.61 % (4169867)Instructions burned: 104 (million)
% 0.90/0.61 % (4169868)Instruction limit reached!
% 0.90/0.61 % (4169868)------------------------------
% 0.90/0.61 % (4169868)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.61 % (4169868)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.61 % (4169868)CaDiCaL version: 2.1.3
% 0.90/0.61 % (4169868)Termination reason: Instruction limit
% 0.90/0.61 % (4169868)Termination phase: Saturation
% 0.90/0.61 % (4169868)Time elapsed: 0.064 s
% 0.90/0.61 % (4169868)Peak memory usage: 12 MB
% 0.90/0.61 % (4169868)Instructions burned: 116 (million)
% 0.90/0.61 % TRYING [4]
% 0.90/0.61 % (4169869)Instruction limit reached!
% 0.90/0.61 % (4169869)------------------------------
% 0.90/0.61 % (4169869)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.61 % (4169869)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.61 % (4169869)CaDiCaL version: 2.1.3
% 0.90/0.61 % (4169869)Termination reason: Instruction limit
% 0.90/0.61 % (4169869)Termination phase: Saturation
% 0.90/0.61 % (4169869)Time elapsed: 0.073 s
% 0.90/0.61 % (4169869)Peak memory usage: 13 MB
% 0.90/0.61 % (4169869)Instructions burned: 133 (million)
% 0.90/0.61 % (4169878)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3960150328:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.90/0.61 % TRYING [1]
% 0.90/0.61 % TRYING [2]
% 0.90/0.61 % TRYING [3]
% 0.90/0.61 % (4169879)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=4076727578:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 0.90/0.61 % (4169880)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=1612967573:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.90/0.61 % (4169870)Instruction limit reached!
% 0.90/0.61 % (4169870)------------------------------
% 0.90/0.61 % (4169870)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.61 % (4169870)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.61 % (4169870)CaDiCaL version: 2.1.3
% 0.90/0.61 % (4169870)Termination reason: Instruction limit
% 0.90/0.61 % (4169870)Termination phase: Saturation
% 0.90/0.61 % (4169870)Time elapsed: 0.092 s
% 0.90/0.61 % (4169870)Peak memory usage: 13 MB
% 0.90/0.61 % (4169870)Instructions burned: 160 (million)
% 0.90/0.61 % (4169884)ott-21_1_sil=16000:fs=off:random_seed=3595891076:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 0.90/0.61 % TRYING [4]
% 0.90/0.61 % (4169866) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4169859-4169866"...
% 0.90/0.61 % (4169866)...printing done.
% 0.90/0.61 % (4169866)Refutation found. Thanks to Tanya!
% 0.90/0.61 % SZS status Unsatisfiable for theBenchmark
% 0.90/0.61 % SZS output start Proof for theBenchmark
% See solution above
% 0.90/0.61 % (4169866)------------------------------
% 0.90/0.61 % (4169866)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.61 % (4169866)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.61 % (4169866)CaDiCaL version: 2.1.3
% 0.90/0.61 % (4169866)Termination reason: Refutation
% 0.90/0.61 % (4169866)Time elapsed: 0.148 s
% 0.90/0.61 % (4169866)Peak memory usage: 15 MB
% 0.90/0.61 % (4169866)Instructions burned: 542 (million)
% 0.90/0.61 % (4169859)Success in time 0.178 s
% 0.90/0.61 % Vampire exiting
%------------------------------------------------------------------------------