TSTP Solution File: GRP615-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP615-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n007.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 : Wed May 31 12:12:13 EDT 2023
% Result : Unsatisfiable 2.16s 0.76s
% Output : CNFRefutation 2.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 3
% Syntax : Number of formulae : 86 ( 86 unt; 0 def)
% Number of atoms : 86 ( 85 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 257 (; 257 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : double_divide(inverse(double_divide(inverse(double_divide(A,inverse(B))),C)),double_divide(A,C)) = B,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B] : multiply(A,B) = inverse(double_divide(B,A)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,plain,
! [X0,X1,X2] : double_divide(inverse(double_divide(inverse(double_divide(X0,inverse(X1))),X2)),double_divide(X0,X2)) = X1,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f5,plain,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X1,X0)),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f6,plain,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f7,plain,
! [X0,X1,X2] : double_divide(multiply(X0,inverse(double_divide(X1,inverse(X2)))),double_divide(X1,X0)) = X2,
inference(backward_demodulation,[status(thm)],[f5,f4]) ).
fof(f8,plain,
! [X0,X1,X2] : double_divide(multiply(X0,multiply(inverse(X1),X2)),double_divide(X2,X0)) = X1,
inference(forward_demodulation,[status(thm)],[f5,f7]) ).
fof(f9,plain,
! [X0,X1,X2,X3] : double_divide(multiply(X0,multiply(multiply(X1,X2),X3)),double_divide(X3,X0)) = double_divide(X2,X1),
inference(paramodulation,[status(thm)],[f5,f8]) ).
fof(f10,plain,
! [X0,X1,X2,X3] : double_divide(multiply(double_divide(X0,X1),multiply(inverse(X2),multiply(X1,multiply(inverse(X3),X0)))),X3) = X2,
inference(paramodulation,[status(thm)],[f8,f8]) ).
fof(f11,plain,
! [X0,X1,X2] : multiply(double_divide(X0,X1),multiply(X1,multiply(inverse(X2),X0))) = inverse(X2),
inference(paramodulation,[status(thm)],[f8,f5]) ).
fof(f12,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(double_divide(X1,X2),multiply(inverse(X3),multiply(X2,multiply(inverse(X0),X1))))) = inverse(X3),
inference(paramodulation,[status(thm)],[f8,f11]) ).
fof(f14,plain,
! [X0,X1,X2,X3] : multiply(double_divide(X0,X1),multiply(X1,multiply(multiply(X2,X3),X0))) = inverse(double_divide(X3,X2)),
inference(paramodulation,[status(thm)],[f5,f11]) ).
fof(f15,plain,
! [X0,X1,X2,X3] : multiply(double_divide(X0,X1),multiply(X1,multiply(multiply(X2,X3),X0))) = multiply(X2,X3),
inference(forward_demodulation,[status(thm)],[f5,f14]) ).
fof(f16,plain,
! [X0,X1,X2] : double_divide(inverse(X0),double_divide(multiply(inverse(X0),X1),double_divide(X1,inverse(X2)))) = X2,
inference(paramodulation,[status(thm)],[f11,f8]) ).
fof(f21,plain,
! [X0,X1,X2,X3] : double_divide(inverse(X0),double_divide(multiply(inverse(X0),X1),double_divide(X1,multiply(X2,X3)))) = double_divide(X3,X2),
inference(paramodulation,[status(thm)],[f5,f16]) ).
fof(f39,plain,
! [X0,X1,X2,X3] : multiply(double_divide(multiply(inverse(X0),X1),double_divide(X1,multiply(X2,X3))),inverse(X0)) = multiply(X2,X3),
inference(paramodulation,[status(thm)],[f11,f15]) ).
fof(f79,plain,
! [X0,X1,X2,X3,X4,X5] : double_divide(multiply(double_divide(X0,X1),multiply(inverse(X2),multiply(double_divide(X3,X4),multiply(inverse(X5),multiply(X4,multiply(multiply(X1,X0),X3)))))),X5) = X2,
inference(paramodulation,[status(thm)],[f9,f10]) ).
fof(f91,plain,
! [X0,X1,X2,X3,X4] : multiply(X0,multiply(X1,multiply(inverse(X2),multiply(double_divide(X3,X4),multiply(inverse(X0),multiply(X4,multiply(inverse(X1),X3))))))) = inverse(X2),
inference(paramodulation,[status(thm)],[f10,f11]) ).
fof(f216,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(double_divide(multiply(X1,multiply(inverse(inverse(X2)),X3)),double_divide(X3,X1)),inverse(X0))) = inverse(X2),
inference(paramodulation,[status(thm)],[f12,f12]) ).
fof(f217,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X1),inverse(X0))) = inverse(X1),
inference(forward_demodulation,[status(thm)],[f8,f216]) ).
fof(f225,plain,
! [X0,X1,X2,X3] : double_divide(multiply(double_divide(multiply(X0,multiply(inverse(inverse(X1)),X2)),double_divide(X2,X0)),inverse(X3)),X3) = X1,
inference(paramodulation,[status(thm)],[f12,f10]) ).
fof(f226,plain,
! [X0,X1] : double_divide(multiply(inverse(X0),inverse(X1)),X1) = X0,
inference(forward_demodulation,[status(thm)],[f8,f225]) ).
fof(f369,plain,
! [X0,X1,X2] : double_divide(multiply(inverse(X0),multiply(X1,X2)),double_divide(X2,X1)) = X0,
inference(paramodulation,[status(thm)],[f5,f226]) ).
fof(f413,plain,
! [X0,X1] : double_divide(inverse(X0),double_divide(inverse(X1),X1)) = X0,
inference(paramodulation,[status(thm)],[f217,f8]) ).
fof(f436,plain,
! [X0,X1,X2] : double_divide(multiply(X0,X1),double_divide(inverse(X2),X2)) = double_divide(X1,X0),
inference(paramodulation,[status(thm)],[f5,f413]) ).
fof(f484,plain,
! [X0,X1] : double_divide(inverse(X0),double_divide(inverse(inverse(X1)),inverse(X0))) = X1,
inference(paramodulation,[status(thm)],[f217,f369]) ).
fof(f600,plain,
! [X0,X1,X2] : double_divide(multiply(X0,X1),double_divide(inverse(inverse(X2)),inverse(double_divide(X1,X0)))) = X2,
inference(paramodulation,[status(thm)],[f5,f484]) ).
fof(f601,plain,
! [X0,X1,X2] : double_divide(multiply(X0,X1),double_divide(inverse(inverse(X2)),multiply(X0,X1))) = X2,
inference(forward_demodulation,[status(thm)],[f5,f600]) ).
fof(f767,plain,
! [X0,X1,X2,X3] : double_divide(multiply(X0,X1),double_divide(inverse(multiply(X2,X3)),multiply(X0,X1))) = double_divide(X3,X2),
inference(paramodulation,[status(thm)],[f5,f601]) ).
fof(f786,plain,
! [X0,X1] : multiply(X0,inverse(X1)) = multiply(inverse(X1),inverse(inverse(X0))),
inference(paramodulation,[status(thm)],[f601,f39]) ).
fof(f787,plain,
! [X0,X1] : double_divide(inverse(X0),X1) = double_divide(inverse(inverse(X1)),inverse(X0)),
inference(paramodulation,[status(thm)],[f601,f21]) ).
fof(f799,plain,
! [X0,X1,X2,X3] : double_divide(multiply(double_divide(inverse(inverse(X0)),multiply(X1,X2)),multiply(inverse(X3),multiply(X1,X2))),X0) = X3,
inference(paramodulation,[status(thm)],[f601,f8]) ).
fof(f818,plain,
! [X0,X1] : double_divide(inverse(X0),double_divide(inverse(X0),X1)) = X1,
inference(backward_demodulation,[status(thm)],[f787,f484]) ).
fof(f835,plain,
! [X0,X1] : double_divide(inverse(X0),X0) = double_divide(inverse(X1),X1),
inference(paramodulation,[status(thm)],[f413,f818]) ).
fof(f929,plain,
! [X0,X1,X2] : double_divide(multiply(inverse(X0),multiply(X1,inverse(X1))),double_divide(inverse(X2),X2)) = X0,
inference(paramodulation,[status(thm)],[f835,f369]) ).
fof(f930,plain,
! [X0,X1] : double_divide(multiply(X0,inverse(X0)),inverse(X1)) = X1,
inference(forward_demodulation,[status(thm)],[f436,f929]) ).
fof(f1013,plain,
! [X0,X1,X2] : double_divide(multiply(inverse(X0),multiply(inverse(X1),multiply(X2,inverse(X2)))),X0) = X1,
inference(paramodulation,[status(thm)],[f930,f8]) ).
fof(f1014,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X1,inverse(X1))) = inverse(X0),
inference(paramodulation,[status(thm)],[f930,f5]) ).
fof(f1015,plain,
! [X0,X1] : double_divide(multiply(inverse(X0),inverse(X1)),X0) = X1,
inference(backward_demodulation,[status(thm)],[f1014,f1013]) ).
fof(f1024,plain,
! [X0] : X0 = inverse(inverse(X0)),
inference(paramodulation,[status(thm)],[f930,f1015]) ).
fof(f1049,plain,
! [X0,X1,X2] : double_divide(multiply(X0,X1),double_divide(X2,multiply(X0,X1))) = X2,
inference(backward_demodulation,[status(thm)],[f1024,f601]) ).
fof(f1052,plain,
! [X0,X1,X2,X3] : double_divide(multiply(double_divide(X0,multiply(X1,X2)),multiply(inverse(X3),multiply(X1,X2))),X0) = X3,
inference(backward_demodulation,[status(thm)],[f1024,f799]) ).
fof(f1060,plain,
! [X0,X1] : double_divide(inverse(X0),X1) = double_divide(X1,inverse(X0)),
inference(backward_demodulation,[status(thm)],[f1024,f787]) ).
fof(f1061,plain,
! [X0,X1] : multiply(X0,inverse(X1)) = multiply(inverse(X1),X0),
inference(backward_demodulation,[status(thm)],[f1024,f786]) ).
fof(f1097,plain,
! [X0,X1] : inverse(multiply(X0,X1)) = double_divide(X1,X0),
inference(backward_demodulation,[status(thm)],[f1049,f767]) ).
fof(f1137,plain,
! [X0,X1] : double_divide(inverse(inverse(X0)),double_divide(X0,X1)) = X1,
inference(paramodulation,[status(thm)],[f1024,f818]) ).
fof(f1138,plain,
! [X0,X1] : double_divide(X0,double_divide(X0,X1)) = X1,
inference(forward_demodulation,[status(thm)],[f1024,f1137]) ).
fof(f1155,plain,
! [X0,X1] : multiply(X0,multiply(X1,inverse(X0))) = inverse(inverse(X1)),
inference(paramodulation,[status(thm)],[f1024,f217]) ).
fof(f1156,plain,
! [X0,X1] : multiply(X0,multiply(X1,inverse(X0))) = X1,
inference(forward_demodulation,[status(thm)],[f1024,f1155]) ).
fof(f1283,plain,
! [X0,X1] : multiply(double_divide(X0,X1),X0) = inverse(X1),
inference(paramodulation,[status(thm)],[f1138,f5]) ).
fof(f1293,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X1,X0)) = X1,
inference(paramodulation,[status(thm)],[f1024,f1156]) ).
fof(f1304,plain,
! [X0,X1] : multiply(inverse(multiply(X0,X1)),X0) = inverse(X1),
inference(paramodulation,[status(thm)],[f1293,f1293]) ).
fof(f1305,plain,
! [X0,X1] : multiply(X0,inverse(multiply(X0,X1))) = inverse(X1),
inference(forward_demodulation,[status(thm)],[f1061,f1304]) ).
fof(f1306,plain,
! [X0,X1] : multiply(X0,double_divide(X1,X0)) = inverse(X1),
inference(forward_demodulation,[status(thm)],[f1097,f1305]) ).
fof(f1351,plain,
! [X0,X1,X2,X3,X4] : double_divide(multiply(double_divide(X0,X1),double_divide(X2,X3)),X4) = multiply(inverse(X4),multiply(X3,multiply(multiply(X1,X0),X2))),
inference(paramodulation,[status(thm)],[f1293,f79]) ).
fof(f1467,plain,
! [X0,X1] : multiply(X0,double_divide(inverse(X1),X1)) = inverse(inverse(X0)),
inference(paramodulation,[status(thm)],[f835,f1306]) ).
fof(f1468,plain,
! [X0,X1] : multiply(X0,double_divide(X1,inverse(X1))) = inverse(inverse(X0)),
inference(forward_demodulation,[status(thm)],[f1060,f1467]) ).
fof(f1469,plain,
! [X0,X1] : multiply(X0,double_divide(X1,inverse(X1))) = X0,
inference(forward_demodulation,[status(thm)],[f1024,f1468]) ).
fof(f1529,plain,
! [X0,X1] : multiply(X0,inverse(X1)) = double_divide(inverse(X0),X1),
inference(paramodulation,[status(thm)],[f1283,f1156]) ).
fof(f1708,plain,
! [X0,X1] : double_divide(inverse(X0),X1) = multiply(inverse(X1),X0),
inference(backward_demodulation,[status(thm)],[f1529,f1061]) ).
fof(f1973,plain,
! [X0,X1,X2,X3,X4] : multiply(X0,multiply(X1,double_divide(inverse(multiply(double_divide(X2,X3),multiply(inverse(X0),multiply(X3,multiply(inverse(X1),X2))))),X4))) = inverse(X4),
inference(backward_demodulation,[status(thm)],[f1708,f91]) ).
fof(f1974,plain,
! [X0,X1,X2,X3,X4] : multiply(X0,multiply(X1,double_divide(double_divide(multiply(inverse(X0),multiply(X2,multiply(inverse(X1),X3))),double_divide(X3,X2)),X4))) = inverse(X4),
inference(forward_demodulation,[status(thm)],[f1097,f1973]) ).
fof(f1975,plain,
! [X0,X1,X2,X3,X4] : multiply(X0,multiply(X1,double_divide(double_divide(double_divide(inverse(multiply(X2,multiply(inverse(X1),X3))),X0),double_divide(X3,X2)),X4))) = inverse(X4),
inference(forward_demodulation,[status(thm)],[f1708,f1974]) ).
fof(f1976,plain,
! [X0,X1,X2,X3,X4] : multiply(X0,multiply(X1,double_divide(double_divide(double_divide(double_divide(multiply(inverse(X1),X2),X3),X0),double_divide(X2,X3)),X4))) = inverse(X4),
inference(forward_demodulation,[status(thm)],[f1097,f1975]) ).
fof(f1977,plain,
! [X0,X1,X2,X3,X4] : multiply(X0,multiply(X1,double_divide(double_divide(double_divide(double_divide(double_divide(inverse(X2),X1),X3),X0),double_divide(X2,X3)),X4))) = inverse(X4),
inference(forward_demodulation,[status(thm)],[f1708,f1976]) ).
fof(f2012,plain,
! [X0,X1,X2,X3,X4] : double_divide(multiply(double_divide(X0,X1),double_divide(X2,X3)),X4) = double_divide(inverse(multiply(X3,multiply(multiply(X1,X0),X2))),X4),
inference(backward_demodulation,[status(thm)],[f1708,f1351]) ).
fof(f2013,plain,
! [X0,X1,X2,X3,X4] : double_divide(multiply(double_divide(X0,X1),double_divide(X2,X3)),X4) = double_divide(double_divide(multiply(multiply(X1,X0),X2),X3),X4),
inference(forward_demodulation,[status(thm)],[f1097,f2012]) ).
fof(f2079,plain,
! [X0,X1,X2,X3] : double_divide(multiply(double_divide(X0,multiply(X1,X2)),double_divide(inverse(multiply(X1,X2)),X3)),X0) = X3,
inference(backward_demodulation,[status(thm)],[f1708,f1052]) ).
fof(f2080,plain,
! [X0,X1,X2,X3] : double_divide(double_divide(multiply(multiply(multiply(X0,X1),X2),inverse(multiply(X0,X1))),X3),X2) = X3,
inference(forward_demodulation,[status(thm)],[f2013,f2079]) ).
fof(f2081,plain,
! [X0,X1,X2,X3] : double_divide(double_divide(double_divide(inverse(multiply(multiply(X0,X1),X2)),multiply(X0,X1)),X3),X2) = X3,
inference(forward_demodulation,[status(thm)],[f1529,f2080]) ).
fof(f2082,plain,
! [X0,X1,X2,X3] : double_divide(double_divide(double_divide(multiply(X0,X1),inverse(multiply(multiply(X0,X1),X2))),X3),X2) = X3,
inference(forward_demodulation,[status(thm)],[f1060,f2081]) ).
fof(f2083,plain,
! [X0,X1,X2,X3] : double_divide(double_divide(double_divide(multiply(X0,X1),double_divide(X2,multiply(X0,X1))),X3),X2) = X3,
inference(forward_demodulation,[status(thm)],[f1097,f2082]) ).
fof(f2084,plain,
! [X0,X1] : double_divide(double_divide(X0,X1),X0) = X1,
inference(forward_demodulation,[status(thm)],[f1049,f2083]) ).
fof(f2171,plain,
! [X0,X1] : double_divide(X0,X1) = double_divide(X1,X0),
inference(paramodulation,[status(thm)],[f1138,f2084]) ).
fof(f2173,plain,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X0,X1)),
inference(paramodulation,[status(thm)],[f2084,f1306]) ).
fof(f2174,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(forward_demodulation,[status(thm)],[f5,f2173]) ).
fof(f2186,plain,
multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3)),
inference(paramodulation,[status(thm)],[f2174,f6]) ).
fof(f2292,plain,
! [X0,X1,X2,X3] : multiply(X0,X1) = inverse(inverse(double_divide(double_divide(double_divide(double_divide(inverse(X2),X1),X3),X0),double_divide(X2,X3)))),
inference(paramodulation,[status(thm)],[f1469,f1977]) ).
fof(f2293,plain,
! [X0,X1,X2,X3] : multiply(X0,X1) = double_divide(double_divide(double_divide(double_divide(inverse(X2),X1),X3),X0),double_divide(X2,X3)),
inference(forward_demodulation,[status(thm)],[f1024,f2292]) ).
fof(f2294,plain,
! [X0,X1,X2,X3] : multiply(X0,X1) = double_divide(double_divide(X2,X3),double_divide(double_divide(double_divide(inverse(X2),X1),X3),X0)),
inference(forward_demodulation,[status(thm)],[f2171,f2293]) ).
fof(f2305,plain,
! [X0,X1,X2,X3,X4] : multiply(X0,multiply(X1,X2)) = inverse(double_divide(double_divide(double_divide(double_divide(double_divide(inverse(X3),X1),X4),X0),double_divide(X3,X4)),X2)),
inference(paramodulation,[status(thm)],[f1138,f1977]) ).
fof(f2306,plain,
! [X0,X1,X2,X3,X4] : multiply(X0,multiply(X1,X2)) = multiply(X2,double_divide(double_divide(double_divide(double_divide(inverse(X3),X1),X4),X0),double_divide(X3,X4))),
inference(forward_demodulation,[status(thm)],[f5,f2305]) ).
fof(f2307,plain,
! [X0,X1,X2,X3,X4] : multiply(X0,multiply(X1,X2)) = multiply(X2,double_divide(double_divide(X3,X4),double_divide(double_divide(double_divide(inverse(X3),X1),X4),X0))),
inference(forward_demodulation,[status(thm)],[f2171,f2306]) ).
fof(f2308,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(X2,multiply(X0,X1)),
inference(forward_demodulation,[status(thm)],[f2294,f2307]) ).
fof(f2309,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f2186,f2308]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : GRP615-1 : TPTP v8.1.2. Released v2.6.0.
% 0.03/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n007.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue May 30 11:15:02 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.10/0.31 % Drodi V3.5.1
% 2.16/0.76 % Refutation found
% 2.16/0.76 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 2.16/0.76 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 2.61/0.79 % Elapsed time: 0.465553 seconds
% 2.61/0.79 % CPU time: 2.718578 seconds
% 2.61/0.79 % Memory used: 45.641 MB
%------------------------------------------------------------------------------