TSTP Solution File: GRP511-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP511-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 06:09:19 EDT 2024
% Result : Unsatisfiable 0.22s 0.44s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 2
% Syntax : Number of formulae : 38 ( 38 unt; 0 def)
% Number of atoms : 38 ( 37 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 : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 103 ( 103 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1908,plain,
$false,
inference(trivial_inequality_removal,[],[f1877]) ).
fof(f1877,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(superposition,[],[f2,f1015]) ).
fof(f1015,plain,
! [X2,X0,X1] : multiply(multiply(X0,X2),X1) = multiply(X0,multiply(X2,X1)),
inference(backward_demodulation,[],[f137,f1014]) ).
fof(f1014,plain,
! [X2,X0,X1] : multiply(multiply(X0,X2),X1) = multiply(X0,multiply(X1,X2)),
inference(forward_demodulation,[],[f915,f377]) ).
fof(f377,plain,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X1,multiply(X0,X2)),
inference(superposition,[],[f316,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] : multiply(multiply(multiply(X0,X1),X2),inverse(multiply(X0,X2))) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f316,plain,
! [X0,X1] : multiply(multiply(X0,inverse(X1)),X1) = X0,
inference(forward_demodulation,[],[f305,f99]) ).
fof(f99,plain,
! [X3,X1] : multiply(X1,inverse(X3)) = inverse(multiply(X3,inverse(X1))),
inference(backward_demodulation,[],[f95,f84]) ).
fof(f84,plain,
! [X2,X1] : inverse(multiply(X1,inverse(multiply(X1,X2)))) = X2,
inference(backward_demodulation,[],[f25,f62]) ).
fof(f62,plain,
! [X2,X0,X1] : inverse(multiply(X0,X2)) = multiply(X1,inverse(multiply(multiply(X0,X1),X2))),
inference(superposition,[],[f22,f1]) ).
fof(f22,plain,
! [X2,X0,X1] : inverse(multiply(X0,X2)) = multiply(multiply(X1,inverse(multiply(X0,X2))),inverse(X1)),
inference(superposition,[],[f3,f1]) ).
fof(f3,plain,
! [X2,X3,X0,X1] : inverse(multiply(X0,X2)) = multiply(multiply(X1,X3),inverse(multiply(multiply(multiply(X0,X1),X2),X3))),
inference(superposition,[],[f1,f1]) ).
fof(f25,plain,
! [X2,X0,X1] : inverse(multiply(X1,multiply(X0,inverse(multiply(multiply(X1,X0),X2))))) = X2,
inference(superposition,[],[f3,f4]) ).
fof(f4,plain,
! [X2,X0,X1] : multiply(X1,inverse(multiply(multiply(X0,X1),inverse(multiply(X0,X2))))) = X2,
inference(superposition,[],[f1,f1]) ).
fof(f95,plain,
! [X3,X0,X1] : inverse(multiply(X0,inverse(multiply(X0,multiply(X1,inverse(X3)))))) = inverse(multiply(X3,inverse(X1))),
inference(backward_demodulation,[],[f43,f89]) ).
fof(f89,plain,
! [X2,X3,X0] : multiply(multiply(X2,X3),inverse(multiply(X0,X3))) = inverse(multiply(X0,inverse(X2))),
inference(backward_demodulation,[],[f12,f81]) ).
fof(f81,plain,
! [X2,X0,X1] : inverse(multiply(multiply(X1,X0),inverse(multiply(X1,X2)))) = inverse(multiply(X0,inverse(X2))),
inference(backward_demodulation,[],[f9,f62]) ).
fof(f9,plain,
! [X2,X3,X0,X1] : inverse(multiply(multiply(X1,X0),inverse(multiply(X1,X2)))) = multiply(X3,inverse(multiply(multiply(X0,X3),inverse(X2)))),
inference(superposition,[],[f4,f4]) ).
fof(f12,plain,
! [X2,X3,X0,X1] : inverse(multiply(multiply(X1,X0),inverse(multiply(X1,X2)))) = multiply(multiply(X2,X3),inverse(multiply(X0,X3))),
inference(superposition,[],[f1,f4]) ).
fof(f43,plain,
! [X3,X0,X1,X4] : multiply(multiply(X1,X4),inverse(multiply(X3,X4))) = inverse(multiply(X0,inverse(multiply(X0,multiply(X1,inverse(X3)))))),
inference(backward_demodulation,[],[f21,f37]) ).
fof(f37,plain,
! [X2,X3,X0,X1] : inverse(multiply(multiply(X2,multiply(X0,X1)),inverse(multiply(X2,X3)))) = inverse(multiply(X0,multiply(X1,inverse(X3)))),
inference(superposition,[],[f25,f4]) ).
fof(f21,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(X0,inverse(multiply(multiply(X2,multiply(X0,X1)),inverse(multiply(X2,X3)))))) = multiply(multiply(X1,X4),inverse(multiply(X3,X4))),
inference(superposition,[],[f3,f4]) ).
fof(f305,plain,
! [X0,X1] : multiply(inverse(multiply(X1,inverse(X0))),X1) = X0,
inference(superposition,[],[f275,f103]) ).
fof(f103,plain,
! [X2,X1] : multiply(X1,multiply(X2,inverse(X1))) = X2,
inference(backward_demodulation,[],[f86,f99]) ).
fof(f86,plain,
! [X2,X1] : multiply(X1,inverse(multiply(X1,inverse(X2)))) = X2,
inference(backward_demodulation,[],[f4,f81]) ).
fof(f275,plain,
! [X2,X3] : multiply(inverse(X2),multiply(X3,X2)) = X3,
inference(backward_demodulation,[],[f136,f269]) ).
fof(f269,plain,
! [X2,X0,X1] : inverse(X2) = multiply(multiply(X0,X1),inverse(multiply(X0,multiply(X1,X2)))),
inference(superposition,[],[f244,f39]) ).
fof(f39,plain,
! [X2,X0,X1] : inverse(multiply(multiply(X2,X0),inverse(multiply(X2,multiply(X0,X1))))) = X1,
inference(superposition,[],[f25,f3]) ).
fof(f244,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(superposition,[],[f39,f130]) ).
fof(f130,plain,
! [X3,X0] : inverse(X0) = multiply(X3,inverse(multiply(X0,X3))),
inference(forward_demodulation,[],[f129,f62]) ).
fof(f129,plain,
! [X2,X3,X0,X1] : inverse(X0) = multiply(X3,multiply(inverse(multiply(X1,X2)),inverse(multiply(multiply(X0,inverse(multiply(X1,X2))),X3)))),
inference(forward_demodulation,[],[f77,f99]) ).
fof(f77,plain,
! [X2,X3,X0,X1] : inverse(X0) = multiply(X3,inverse(multiply(multiply(multiply(X0,inverse(multiply(X1,X2))),X3),inverse(inverse(multiply(X1,X2)))))),
inference(superposition,[],[f4,f22]) ).
fof(f136,plain,
! [X2,X3,X0,X1] : multiply(multiply(multiply(X0,X1),inverse(multiply(X0,multiply(X1,X2)))),multiply(X3,X2)) = X3,
inference(superposition,[],[f103,f39]) ).
fof(f915,plain,
! [X2,X0,X1] : multiply(multiply(X0,X2),X1) = multiply(multiply(X1,X0),X2),
inference(superposition,[],[f137,f378]) ).
fof(f378,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(superposition,[],[f316,f60]) ).
fof(f60,plain,
! [X2,X3] : multiply(multiply(X3,X2),inverse(X3)) = X2,
inference(superposition,[],[f22,f25]) ).
fof(f137,plain,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(multiply(X0,X2),X1),
inference(superposition,[],[f103,f1]) ).
fof(f2,axiom,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP511-1 : TPTP v8.1.2. Released v2.6.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n013.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 20:48:08 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (21754)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (21758)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37 % (21757)WARNING: value z3 for option sas not known
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [2]
% 0.14/0.37 TRYING [3]
% 0.14/0.37 % (21755)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.37 % (21756)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.37 % (21757)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.37 % (21759)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.37 % (21760)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.37 % (21762)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [2]
% 0.14/0.37 TRYING [4]
% 0.14/0.37 TRYING [3]
% 0.14/0.38 TRYING [4]
% 0.14/0.39 TRYING [5]
% 0.22/0.44 % (21760)First to succeed.
% 0.22/0.44 % (21760)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-21754"
% 0.22/0.44 % (21760)Refutation found. Thanks to Tanya!
% 0.22/0.44 % SZS status Unsatisfiable for theBenchmark
% 0.22/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.44 % (21760)------------------------------
% 0.22/0.44 % (21760)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.44 % (21760)Termination reason: Refutation
% 0.22/0.44
% 0.22/0.44 % (21760)Memory used [KB]: 1487
% 0.22/0.44 % (21760)Time elapsed: 0.073 s
% 0.22/0.44 % (21760)Instructions burned: 125 (million)
% 0.22/0.44 % (21754)Success in time 0.087 s
%------------------------------------------------------------------------------