%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP434-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n012.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 10:17:49 AM UTC 2026
% Result : Unsatisfiable 1.29s 0.54s
% Output : Refutation 1.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 2
% Syntax : Number of formulae : 36 ( 36 unt; 0 def)
% Number of atoms : 36 ( 35 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 10 ( 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 : 85 ( 85 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X3,X0,X1] : inverse(multiply(multiply(multiply(inverse(multiply(multiply(X0,X1),X2)),X0),X1),multiply(X3,inverse(X3)))) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,negated_conjecture,
multiply(multiply(inverse(b2),b2),a2) != a2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_2) ).
fof(f3,plain,
a2 != multiply(multiply(inverse(b2),b2),a2),
inference(reorient_equations,[],[f2]) ).
fof(f4,plain,
! [X2,X3,X0,X1,X4] : multiply(X3,inverse(X3)) = inverse(multiply(multiply(multiply(X0,multiply(inverse(multiply(multiply(X1,X2),X0)),X1)),X2),multiply(X4,inverse(X4)))),
inference(superposition,[],[f1,f1]) ).
fof(f16,plain,
! [X0,X1] : multiply(X0,inverse(X0)) = multiply(X1,inverse(X1)),
inference(superposition,[],[f4,f4]) ).
fof(f33,plain,
! [X2,X3,X0,X1] : inverse(multiply(X1,X2)) = inverse(multiply(multiply(multiply(inverse(multiply(X0,inverse(X0))),X1),X2),multiply(X3,inverse(X3)))),
inference(superposition,[],[f1,f16]) ).
fof(f38,plain,
! [X2,X3,X0,X1] : inverse(multiply(multiply(multiply(inverse(multiply(multiply(X0,inverse(X0)),X2)),X1),inverse(X1)),multiply(X3,inverse(X3)))) = X2,
inference(superposition,[],[f1,f16]) ).
fof(f98,plain,
! [X0,X1] : inverse(multiply(X0,inverse(X0))) = inverse(multiply(X1,inverse(X1))),
inference(superposition,[],[f38,f33]) ).
fof(f115,plain,
! [X2,X0,X1] : inverse(multiply(X2,inverse(X2))) = inverse(multiply(multiply(X1,inverse(X1)),inverse(multiply(X0,inverse(X0))))),
inference(superposition,[],[f98,f98]) ).
fof(f140,plain,
! [X2,X0,X1] : multiply(X2,inverse(X2)) = multiply(multiply(X1,inverse(X1)),inverse(multiply(X0,inverse(X0)))),
inference(superposition,[],[f16,f98]) ).
fof(f223,plain,
! [X2,X3,X0,X1,X4] : multiply(X1,inverse(X1)) = inverse(multiply(multiply(multiply(inverse(multiply(X2,inverse(X2))),multiply(inverse(multiply(X0,inverse(X0))),X3)),inverse(X3)),multiply(X4,inverse(X4)))),
inference(superposition,[],[f4,f140]) ).
fof(f240,plain,
! [X3,X0,X1] : multiply(X1,inverse(X1)) = inverse(multiply(multiply(inverse(multiply(X0,inverse(X0))),X3),inverse(X3))),
inference(forward_demodulation,[],[f223,f33]) ).
fof(f308,plain,
! [X2,X3,X0,X1] : inverse(X2) = inverse(multiply(multiply(multiply(multiply(X0,inverse(X0)),inverse(multiply(X1,inverse(X1)))),X2),multiply(X3,inverse(X3)))),
inference(superposition,[],[f1,f240]) ).
fof(f2209,plain,
! [X0,X1,X4] : inverse(X1) = inverse(multiply(multiply(multiply(X0,inverse(X0)),X1),multiply(X4,inverse(X4)))),
inference(superposition,[],[f308,f140]) ).
fof(f2409,plain,
! [X0,X1] : inverse(X1) = inverse(multiply(inverse(inverse(multiply(X0,inverse(X0)))),X1)),
inference(superposition,[],[f2209,f33]) ).
fof(f2410,plain,
! [X0,X1] : inverse(inverse(inverse(inverse(multiply(multiply(X1,inverse(X1)),X0))))) = X0,
inference(superposition,[],[f2209,f38]) ).
fof(f2661,plain,
! [X2,X0,X1] : multiply(X2,inverse(X2)) = inverse(inverse(inverse(inverse(inverse(multiply(multiply(X0,inverse(X0)),inverse(multiply(X1,inverse(X1))))))))),
inference(superposition,[],[f2410,f308]) ).
fof(f2730,plain,
! [X2,X1] : multiply(X2,inverse(X2)) = inverse(inverse(multiply(X1,inverse(X1)))),
inference(forward_demodulation,[],[f2661,f2410]) ).
fof(f2895,plain,
! [X2,X0] : inverse(inverse(inverse(inverse(multiply(inverse(inverse(multiply(X0,inverse(X0)))),X2))))) = X2,
inference(superposition,[],[f2410,f2730]) ).
fof(f2967,plain,
! [X2] : inverse(inverse(inverse(inverse(X2)))) = X2,
inference(forward_demodulation,[],[f2895,f2409]) ).
fof(f2996,plain,
! [X2,X0,X1] : multiply(X2,inverse(X2)) = inverse(inverse(inverse(inverse(multiply(multiply(X0,inverse(X0)),inverse(multiply(X1,inverse(X1)))))))),
inference(superposition,[],[f2967,f115]) ).
fof(f3009,plain,
! [X0,X1] : multiply(multiply(X1,inverse(X1)),X0) = X0,
inference(superposition,[],[f2967,f2410]) ).
fof(f3066,plain,
! [X0,X1] : inverse(inverse(inverse(inverse(multiply(multiply(inverse(inverse(inverse(X0))),X0),X1))))) = X1,
inference(superposition,[],[f2410,f2967]) ).
fof(f3069,plain,
! [X0,X1] : multiply(multiply(inverse(inverse(inverse(X0))),X0),X1) = X1,
inference(forward_demodulation,[],[f3066,f2967]) ).
fof(f3075,plain,
! [X2,X1] : multiply(X2,inverse(X2)) = inverse(multiply(X1,inverse(X1))),
inference(forward_demodulation,[],[f2996,f2410]) ).
fof(f3138,plain,
! [X2,X0] : inverse(X0) = inverse(multiply(X0,multiply(X2,inverse(X2)))),
inference(superposition,[],[f2209,f3009]) ).
fof(f4680,plain,
! [X0,X1] : inverse(inverse(inverse(inverse(X0)))) = multiply(X0,multiply(X1,inverse(X1))),
inference(superposition,[],[f2967,f3138]) ).
fof(f4687,plain,
! [X0,X1] : multiply(X0,multiply(X1,inverse(X1))) = X0,
inference(forward_demodulation,[],[f4680,f2967]) ).
fof(f4827,plain,
! [X0,X1] : multiply(X1,inverse(multiply(X0,inverse(X0)))) = X1,
inference(superposition,[],[f4687,f3075]) ).
fof(f5080,plain,
! [X2,X3,X0,X1] : inverse(multiply(multiply(inverse(multiply(multiply(X0,inverse(X0)),X1)),multiply(X2,inverse(X2))),multiply(X3,inverse(X3)))) = X1,
inference(superposition,[],[f38,f4827]) ).
fof(f5200,plain,
! [X2,X0,X1] : inverse(multiply(inverse(multiply(multiply(X0,inverse(X0)),X1)),multiply(X2,inverse(X2)))) = X1,
inference(forward_demodulation,[],[f5080,f3138]) ).
fof(f5264,plain,
! [X0,X1] : inverse(inverse(multiply(multiply(X0,inverse(X0)),X1))) = X1,
inference(forward_demodulation,[],[f5200,f3138]) ).
fof(f5290,plain,
! [X1] : inverse(inverse(X1)) = X1,
inference(forward_demodulation,[],[f5264,f3009]) ).
fof(f5336,plain,
! [X0,X1] : multiply(multiply(inverse(X0),X0),X1) = X1,
inference(superposition,[],[f3069,f5290]) ).
fof(f5591,plain,
a2 != a2,
inference(superposition,[],[f3,f5336]) ).
fof(f5663,plain,
$false,
inference(trivial_inequality_removal,[],[f5591]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP434-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.06/0.33 % Computer : n012.cluster.edu
% 0.06/0.33 % Model : x86_64 x86_64
% 0.06/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.33 % Memory : 8046.5625MB
% 0.06/0.33 % OS : Linux 6.8.0-71-generic
% 0.06/0.34 % CPULimit : 300
% 0.06/0.34 % WCLimit : 300
% 0.06/0.34 % DateTime : Sun Sep 27 10:04:05 UTC 2026
% 0.06/0.34 % CPUTime :
% 0.06/0.34 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.06/0.36 Running first-order model finding
% 0.06/0.36 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
% 1.29/0.54 % (2136539)Will run a generic schedule for satisfiability detection.
% 1.29/0.54 % (2136546)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1511404531:i=88024:add=on:rawr=on_3000 on theBenchmark for (3000ds/88024Mi)
% 1.29/0.54 % (2136545)% WARNING: option uhcvi not known.
% 1.29/0.54 % (2136545)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1604930974:i=135531:add=off:rawr=on_3000 on theBenchmark for (3000ds/135531Mi)
% 1.29/0.54 % (2136544)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=455037072_3000 on theBenchmark for (3000ds/0Mi)
% 1.29/0.54 % (2136548)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3468425494:i=116_3000 on theBenchmark for (3000ds/116Mi)
% 1.29/0.54 % (2136550)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3440231859:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_3000 on theBenchmark for (3000ds/159Mi)
% 1.29/0.54 % (2136549)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=432570421:i=131_3000 on theBenchmark for (3000ds/131Mi)
% 1.29/0.54 % TRYING [1]
% 1.29/0.54 % TRYING [2]
% 1.29/0.54 % TRYING [3]
% 1.29/0.54 % (2136547)dis+10_1_sil=32000:sp=arity:random_seed=3296788614:i=103:fgj=on_3000 on theBenchmark for (3000ds/103Mi)
% 1.29/0.54 % TRYING [4]
% 1.29/0.54 % (2136547)Instruction limit reached!
% 1.29/0.54 % (2136547)------------------------------
% 1.29/0.54 % (2136547)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.29/0.54 % (2136547)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.29/0.54 % (2136547)CaDiCaL version: 2.1.3
% 1.29/0.54 % (2136547)Termination reason: Instruction limit
% 1.29/0.54 % (2136547)Termination phase: Saturation
% 1.29/0.54 % (2136547)Time elapsed: 0.049 s
% 1.29/0.54 % (2136547)Peak memory usage: 12 MB
% 1.29/0.54 % (2136547)Instructions burned: 104 (million)
% 1.29/0.54 % (2136548)Instruction limit reached!
% 1.29/0.54 % (2136548)------------------------------
% 1.29/0.54 % (2136548)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.29/0.54 % (2136548)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.29/0.54 % (2136548)CaDiCaL version: 2.1.3
% 1.29/0.54 % (2136548)Termination reason: Instruction limit
% 1.29/0.54 % (2136548)Termination phase: Saturation
% 1.29/0.54 % (2136548)Time elapsed: 0.056 s
% 1.29/0.54 % (2136548)Peak memory usage: 12 MB
% 1.29/0.54 % (2136548)Instructions burned: 118 (million)
% 1.29/0.54 % (2136549)Instruction limit reached!
% 1.29/0.54 % (2136549)------------------------------
% 1.29/0.54 % (2136549)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.29/0.54 % (2136549)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.29/0.54 % (2136549)CaDiCaL version: 2.1.3
% 1.29/0.54 % (2136549)Termination reason: Instruction limit
% 1.29/0.54 % (2136549)Termination phase: Saturation
% 1.29/0.54 % (2136549)Time elapsed: 0.063 s
% 1.29/0.54 % (2136549)Peak memory usage: 12 MB
% 1.29/0.54 % (2136549)Instructions burned: 133 (million)
% 1.29/0.54 % (2136560)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=17071692:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.29/0.54 % TRYING [1]
% 1.29/0.54 % TRYING [2]
% 1.29/0.54 % TRYING [3]
% 1.29/0.54 % (2136561)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3146139052:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 1.29/0.54 % TRYING [4]
% 1.29/0.54 % (2136550)Instruction limit reached!
% 1.29/0.54 % (2136550)------------------------------
% 1.29/0.54 % (2136550)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.29/0.54 % (2136550)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.29/0.54 % (2136550)CaDiCaL version: 2.1.3
% 1.29/0.54 % (2136550)Termination reason: Instruction limit
% 1.29/0.54 % (2136550)Termination phase: Saturation
% 1.29/0.54 % (2136550)Time elapsed: 0.079 s
% 1.29/0.54 % (2136550)Peak memory usage: 12 MB
% 1.29/0.54 % (2136550)Instructions burned: 159 (million)
% 1.29/0.54 % (2136562)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=1269859375:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 1.29/0.54 % (2136565)ott-21_1_sil=16000:fs=off:random_seed=1873965784:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 1.29/0.54 % (2136561)Instruction limit reached!
% 1.29/0.54 % (2136561)------------------------------
% 1.29/0.54 % (2136561)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.29/0.54 % (2136561)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.29/0.54 % (2136561)CaDiCaL version: 2.1.3
% 1.29/0.54 % (2136561)Termination reason: Instruction limit
% 1.29/0.54 % (2136561)Termination phase: Saturation
% 1.29/0.54 % (2136561)Time elapsed: 0.067 s
% 1.29/0.54 % (2136561)Peak memory usage: 12 MB
% 1.29/0.54 % (2136561)Instructions burned: 131 (million)
% 1.29/0.54 % (2136546) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2136539-2136546"...
% 1.29/0.54 % (2136546)...printing done.
% 1.29/0.54 % (2136565)Instruction limit reached!
% 1.29/0.54 % (2136565)------------------------------
% 1.29/0.54 % (2136565)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.29/0.54 % (2136565)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.29/0.54 % (2136565)CaDiCaL version: 2.1.3
% 1.29/0.54 % (2136565)Termination reason: Instruction limit
% 1.29/0.54 % (2136565)Termination phase: Saturation
% 1.29/0.54 % (2136565)Time elapsed: 0.058 s
% 1.29/0.54 % (2136565)Peak memory usage: 11 MB
% 1.29/0.54 % (2136565)Instructions burned: 181 (million)
% 1.29/0.54 % (2136546)Refutation found. Thanks to Tanya!
% 1.29/0.54 % SZS status Unsatisfiable for theBenchmark
% 1.29/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 1.29/0.54 % (2136546)------------------------------
% 1.29/0.54 % (2136546)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.29/0.54 % (2136546)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.29/0.54 % (2136546)CaDiCaL version: 2.1.3
% 1.29/0.54 % (2136546)Termination reason: Refutation
% 1.29/0.54 % (2136546)Time elapsed: 0.154 s
% 1.29/0.54 % (2136546)Peak memory usage: 15 MB
% 1.29/0.54 % (2136546)Instructions burned: 397 (million)
% 1.29/0.54 % (2136539)Success in time 0.173 s
% 1.29/0.54 % Vampire exiting
%------------------------------------------------------------------------------