%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP412-1 : 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 : 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 10:17:46 AM UTC 2026
% Result : Unsatisfiable 1.44s 0.80s
% Output : Refutation 2.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 2
% Syntax : Number of formulae : 20 ( 20 unt; 0 def)
% Number of atoms : 20 ( 19 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 1 ( 1 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 14 ( 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 : 60 ( 60 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : multiply(X0,inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(X0,inverse(X1))),X2))),X1))) = 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] : inverse(multiply(multiply(multiply(inverse(X3),X3),inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(X2))),inverse(X3))),X0))),X3)) = multiply(X1,inverse(multiply(multiply(multiply(inverse(X2),X2),inverse(X0)),X2))),
inference(superposition,[],[f1,f1]) ).
fof(f18,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X3))),inverse(X1))),multiply(multiply(multiply(inverse(X4),X4),inverse(multiply(inverse(multiply(multiply(inverse(X3),X3),inverse(X4))),X0))),X4)))),X1)) = multiply(X2,inverse(multiply(X0,X3))),
inference(superposition,[],[f4,f1]) ).
fof(f22,plain,
! [X2,X3,X0,X1] : inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X3))),inverse(X1))),multiply(inverse(multiply(X2,inverse(X3))),X0)))),X1)) = X0,
inference(superposition,[],[f4,f1]) ).
fof(f24,plain,
! [X2,X0,X1] : multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(X2)),X1)))) = X2,
inference(superposition,[],[f1,f4]) ).
fof(f54,plain,
! [X0,X1,X5] : inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,X5)))),X1)) = X5,
inference(superposition,[],[f22,f22]) ).
fof(f85,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,X0)) = multiply(inverse(multiply(X3,inverse(X2))),multiply(X3,X0)),
inference(superposition,[],[f24,f54]) ).
fof(f147,plain,
! [X0,X1,X4,X5] : multiply(inverse(multiply(X1,X0)),multiply(X1,X4)) = multiply(inverse(multiply(X5,X0)),multiply(X5,X4)),
inference(superposition,[],[f85,f54]) ).
fof(f203,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(X4,X1)),multiply(X4,X3)) = multiply(X0,multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(X2,inverse(X1))),multiply(X2,X0)))),X3)),
inference(superposition,[],[f147,f54]) ).
fof(f1213,plain,
! [X2,X3,X0,X1,X4] : multiply(X3,inverse(multiply(multiply(multiply(inverse(X4),X4),inverse(multiply(inverse(multiply(X3,inverse(X4))),inverse(X2)))),X4))) = inverse(multiply(multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,X1)))),X2)),
inference(superposition,[],[f18,f203]) ).
fof(f1245,plain,
! [X2,X0,X1] : inverse(X2) = inverse(multiply(multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,X1)))),X2)),
inference(forward_demodulation,[],[f1213,f1]) ).
fof(f1542,plain,
! [X0,X1] : inverse(X1) = inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(X0),X0))),X1)),
inference(superposition,[],[f1245,f1]) ).
fof(f1683,plain,
! [X2,X0,X1] : multiply(inverse(X2),X2) = multiply(inverse(multiply(X1,inverse(X0))),multiply(X1,inverse(X0))),
inference(superposition,[],[f24,f1542]) ).
fof(f1726,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(multiply(multiply(multiply(inverse(X2),X2),inverse(X0)),X2)))) = multiply(multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(X3),X3))),X0),
inference(superposition,[],[f24,f1542]) ).
fof(f1730,plain,
! [X3,X0] : multiply(multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(X3),X3))),X0) = X0,
inference(forward_demodulation,[],[f1726,f24]) ).
fof(f1780,plain,
! [X0,X1] : multiply(inverse(X0),X0) = multiply(inverse(multiply(X1,X0)),multiply(X1,X0)),
inference(superposition,[],[f203,f1730]) ).
fof(f2136,plain,
! [X2,X0] : multiply(inverse(X2),X2) = multiply(inverse(inverse(X0)),inverse(X0)),
inference(forward_demodulation,[],[f1683,f1780]) ).
fof(f2162,plain,
! [X0,X1] : multiply(inverse(X1),X1) = multiply(inverse(X0),X0),
inference(superposition,[],[f2136,f54]) ).
fof(f2326,plain,
$false,
inference(backward_subsumption_resolution,[],[f2,f2162]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP412-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.39 % Computer : n026.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 10:06:18 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.43 Running first-order model finding
% 0.12/0.43 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
% 1.44/0.80 % (2591970)Will run a generic schedule for satisfiability detection.
% 1.44/0.80 % (2591977)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3022097510:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.44/0.80 % (2591976)% WARNING: option uhcvi not known.
% 1.44/0.80 % (2591975)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3079920957_2999 on theBenchmark for (2999ds/0Mi)
% 1.44/0.80 % (2591976)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4186915025:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.44/0.80 % (2591978)dis+10_1_sil=32000:sp=arity:random_seed=3001156024:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.44/0.80 % (2591981)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4232754077:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.44/0.80 % (2591979)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1439556827:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.44/0.80 % (2591980)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3936651267:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.44/0.80 % TRYING [1]
% 1.44/0.80 % TRYING [2]
% 1.44/0.80 % TRYING [3]
% 1.44/0.80 % TRYING [4]
% 1.44/0.80 % (2591978)Instruction limit reached!
% 1.44/0.80 % (2591978)------------------------------
% 1.44/0.80 % (2591978)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.44/0.80 % (2591978)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.44/0.80 % (2591978)CaDiCaL version: 2.1.3
% 1.44/0.80 % (2591978)Termination reason: Instruction limit
% 1.44/0.80 % (2591978)Termination phase: Saturation
% 1.44/0.80 % (2591978)Time elapsed: 0.055 s
% 1.44/0.80 % (2591978)Peak memory usage: 12 MB
% 1.44/0.80 % (2591978)Instructions burned: 103 (million)
% 1.44/0.80 % (2591979)Instruction limit reached!
% 1.44/0.80 % (2591979)------------------------------
% 1.44/0.80 % (2591979)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.44/0.80 % (2591979)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.44/0.80 % (2591979)CaDiCaL version: 2.1.3
% 1.44/0.80 % (2591979)Termination reason: Instruction limit
% 1.44/0.80 % (2591979)Termination phase: Saturation
% 1.44/0.80 % (2591979)Time elapsed: 0.066 s
% 1.44/0.80 % (2591979)Peak memory usage: 12 MB
% 1.44/0.80 % (2591979)Instructions burned: 118 (million)
% 1.44/0.80 % (2591980)Instruction limit reached!
% 1.44/0.80 % (2591980)------------------------------
% 1.44/0.80 % (2591980)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.44/0.80 % (2591980)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.44/0.80 % (2591980)CaDiCaL version: 2.1.3
% 1.44/0.80 % (2591980)Termination reason: Instruction limit
% 1.44/0.80 % (2591980)Termination phase: Saturation
% 1.44/0.80 % (2591980)Time elapsed: 0.072 s
% 1.44/0.80 % (2591980)Peak memory usage: 13 MB
% 1.44/0.80 % (2591980)Instructions burned: 131 (million)
% 1.44/0.80 % (2591989)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=985787881:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.44/0.80 % TRYING [1]
% 1.44/0.80 % TRYING [2]
% 1.44/0.80 % TRYING [3]
% 1.44/0.80 % (2591990)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1606728056:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 1.44/0.80 % (2591991)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=4174093520:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.44/0.80 % (2591981)Instruction limit reached!
% 1.44/0.80 % (2591981)------------------------------
% 1.44/0.80 % (2591981)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.44/0.80 % (2591981)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.44/0.80 % (2591981)CaDiCaL version: 2.1.3
% 1.44/0.80 % (2591981)Termination reason: Instruction limit
% 1.44/0.80 % (2591981)Termination phase: Saturation
% 1.44/0.80 % (2591981)Time elapsed: 0.102 s
% 1.44/0.80 % (2591981)Peak memory usage: 12 MB
% 1.44/0.80 % (2591981)Instructions burned: 160 (million)
% 1.44/0.80 % TRYING [4]
% 1.44/0.80 % (2591995)ott-21_1_sil=16000:fs=off:random_seed=2578829886:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.44/0.80 % (2591990)Instruction limit reached!
% 1.44/0.80 % (2591990)------------------------------
% 1.44/0.80 % (2591990)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.44/0.80 % (2591990)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.44/0.80 % (2591990)CaDiCaL version: 2.1.3
% 1.44/0.80 % (2591990)Termination reason: Instruction limit
% 1.44/0.80 % (2591990)Termination phase: Saturation
% 1.44/0.80 % (2591990)Time elapsed: 0.073 s
% 1.44/0.80 % (2591990)Peak memory usage: 13 MB
% 1.44/0.80 % (2591990)Instructions burned: 132 (million)
% 1.44/0.80 % (2591997)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2078600934:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 1.44/0.80 % (2591995)Instruction limit reached!
% 1.44/0.80 % (2591995)------------------------------
% 1.44/0.80 % (2591995)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.44/0.80 % (2591995)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.44/0.80 % (2591995)CaDiCaL version: 2.1.3
% 1.44/0.80 % (2591995)Termination reason: Instruction limit
% 1.44/0.80 % (2591995)Termination phase: Saturation
% 1.44/0.80 % (2591995)Time elapsed: 0.090 s
% 1.44/0.80 % (2591995)Peak memory usage: 12 MB
% 1.44/0.80 % (2591995)Instructions burned: 181 (million)
% 1.44/0.80 % (2591999)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1610587117:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 1.44/0.80 % TRYING [1]
% 1.44/0.80 % TRYING [2]
% 1.44/0.80 % TRYING [3]
% 1.44/0.80 % TRYING [4]
% 1.44/0.80 % (2591997) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2591970-2591997"...
% 1.44/0.80 % (2591997)...printing done.
% 1.44/0.80 % (2591997)Refutation found. Thanks to Tanya!
% 1.44/0.80 % SZS status Unsatisfiable for theBenchmark
% 1.44/0.80 % SZS output start Proof for theBenchmark
% See solution above
% 2.56/0.80 % (2591997)------------------------------
% 2.56/0.80 % (2591997)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.56/0.80 % (2591997)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.56/0.80 % (2591997)CaDiCaL version: 2.1.3
% 2.56/0.80 % (2591997)Termination reason: Refutation
% 2.56/0.80 % (2591997)Time elapsed: 0.132 s
% 2.56/0.80 % (2591997)Peak memory usage: 13 MB
% 2.56/0.80 % (2591997)Instructions burned: 260 (million)
% 2.56/0.80 % (2591970)Success in time 0.358 s
% 2.56/0.80 % Vampire exiting
%------------------------------------------------------------------------------