TSTP Solution File: GRP014-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP014-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n008.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 12:09:42 EDT 2023
% Result : Unsatisfiable 60.01s 8.00s
% Output : CNFRefutation 60.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 43
% Number of leaves : 2
% Syntax : Number of formulae : 69 ( 69 unt; 0 def)
% Number of atoms : 69 ( 68 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 16 ( 3 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 : 196 (; 196 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y,W,Z] : multiply(X,inverse(multiply(multiply(inverse(multiply(inverse(Y),multiply(inverse(X),W))),Z),inverse(multiply(Y,Z))))) = W,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
multiply(a,multiply(b,c)) != multiply(multiply(a,b),c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,plain,
! [X0,X1,X2,X3] : multiply(X0,inverse(multiply(multiply(inverse(multiply(inverse(X1),multiply(inverse(X0),X2))),X3),inverse(multiply(X1,X3))))) = X2,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f4,plain,
multiply(a,multiply(b,c)) != multiply(multiply(a,b),c),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f6,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(X0,inverse(multiply(multiply(inverse(multiply(inverse(X1),X2)),X3),inverse(multiply(X1,X3))))) = inverse(multiply(multiply(inverse(multiply(inverse(X4),multiply(inverse(inverse(X0)),X2))),X5),inverse(multiply(X4,X5)))),
inference(paramodulation,[status(thm)],[f3,f3]) ).
fof(f19,plain,
! [X0,X1,X2,X3] : X0 = inverse(multiply(multiply(inverse(multiply(inverse(X1),multiply(inverse(inverse(X2)),multiply(inverse(X2),X0)))),X3),inverse(multiply(X1,X3)))),
inference(paramodulation,[status(thm)],[f3,f6]) ).
fof(f61,plain,
! [X0,X1,X2,X3] : multiply(inverse(X0),multiply(X0,inverse(multiply(multiply(inverse(multiply(inverse(X1),X2)),X3),inverse(multiply(X1,X3)))))) = X2,
inference(paramodulation,[status(thm)],[f6,f3]) ).
fof(f78,plain,
! [X0,X1,X2,X3,X4,X5,X6] : X0 = inverse(multiply(multiply(inverse(multiply(inverse(X1),multiply(inverse(X2),multiply(inverse(multiply(multiply(inverse(multiply(inverse(X3),multiply(inverse(inverse(X4)),multiply(inverse(X4),X2)))),X5),inverse(multiply(X3,X5)))),X0)))),X6),inverse(multiply(X1,X6)))),
inference(paramodulation,[status(thm)],[f19,f19]) ).
fof(f79,plain,
! [X0,X1,X2,X3] : X0 = inverse(multiply(multiply(inverse(multiply(inverse(X1),multiply(inverse(X2),multiply(X2,X0)))),X3),inverse(multiply(X1,X3)))),
inference(forward_demodulation,[status(thm)],[f19,f78]) ).
fof(f205,plain,
! [X0,X1,X2] : multiply(inverse(X0),multiply(X0,X1)) = multiply(inverse(X2),multiply(X2,X1)),
inference(paramodulation,[status(thm)],[f79,f61]) ).
fof(f297,plain,
! [X0,X1,X2,X3] : multiply(X0,inverse(multiply(multiply(inverse(multiply(inverse(X1),multiply(X1,X2))),X3),inverse(multiply(inverse(X0),X3))))) = X2,
inference(paramodulation,[status(thm)],[f205,f3]) ).
fof(f353,plain,
! [X0,X1,X2,X3,X4] : multiply(X0,inverse(multiply(multiply(inverse(X1),multiply(X1,X2)),inverse(multiply(inverse(X0),multiply(multiply(inverse(X3),multiply(X3,X4)),X2)))))) = X4,
inference(paramodulation,[status(thm)],[f205,f297]) ).
fof(f500,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(multiply(inverse(X0),multiply(X0,X1)),inverse(multiply(multiply(inverse(X2),multiply(X2,inverse(multiply(multiply(inverse(multiply(inverse(X3),X4)),X5),inverse(multiply(X3,X5)))))),inverse(X4)))) = X1,
inference(paramodulation,[status(thm)],[f61,f353]) ).
fof(f501,plain,
! [X0,X1,X2] : multiply(multiply(inverse(X0),multiply(X0,X1)),inverse(multiply(X2,inverse(X2)))) = X1,
inference(forward_demodulation,[status(thm)],[f61,f500]) ).
fof(f1095,plain,
! [X0,X1,X2,X3] : multiply(multiply(inverse(multiply(inverse(X0),multiply(X0,X1))),X1),inverse(multiply(X2,inverse(X2)))) = inverse(multiply(X3,inverse(X3))),
inference(paramodulation,[status(thm)],[f501,f501]) ).
fof(f1124,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(X0,inverse(multiply(multiply(inverse(multiply(inverse(X1),multiply(X1,X2))),X2),inverse(multiply(inverse(X0),multiply(multiply(inverse(X3),multiply(X3,X4)),inverse(multiply(X5,inverse(X5))))))))) = X4,
inference(paramodulation,[status(thm)],[f501,f353]) ).
fof(f1125,plain,
! [X0,X1,X2,X3] : multiply(X0,inverse(multiply(multiply(inverse(multiply(inverse(X1),multiply(X1,X2))),X2),inverse(multiply(inverse(X0),X3))))) = X3,
inference(forward_demodulation,[status(thm)],[f501,f1124]) ).
fof(f1251,plain,
! [X0,X1] : inverse(multiply(X0,inverse(X0))) = inverse(multiply(X1,inverse(X1))),
inference(paramodulation,[status(thm)],[f1095,f1095]) ).
fof(f1311,plain,
! [X0,X1] : multiply(X0,inverse(inverse(multiply(X1,inverse(X1))))) = inverse(inverse(X0)),
inference(paramodulation,[status(thm)],[f1095,f3]) ).
fof(f1502,plain,
! [X0,X1,X2] : multiply(inverse(X0),multiply(X0,inverse(inverse(multiply(X1,inverse(X1)))))) = multiply(inverse(X2),inverse(inverse(X2))),
inference(paramodulation,[status(thm)],[f1311,f205]) ).
fof(f1503,plain,
! [X0,X1] : multiply(inverse(X0),inverse(inverse(X0))) = multiply(inverse(X1),inverse(inverse(X1))),
inference(forward_demodulation,[status(thm)],[f1311,f1502]) ).
fof(f1533,plain,
! [X0,X1,X2] : inverse(multiply(multiply(X0,inverse(X0)),inverse(multiply(X1,inverse(X1))))) = inverse(multiply(X2,inverse(X2))),
inference(paramodulation,[status(thm)],[f1251,f1251]) ).
fof(f1576,plain,
! [X0,X1,X2] : multiply(X0,inverse(inverse(multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,inverse(X2))))))) = inverse(inverse(X0)),
inference(paramodulation,[status(thm)],[f1251,f1311]) ).
fof(f1843,plain,
! [X0,X1,X2,X3,X4] : multiply(X0,inverse(inverse(multiply(multiply(inverse(multiply(inverse(X1),multiply(inverse(X2),multiply(X2,X0)))),X3),inverse(multiply(X1,X3)))))) = multiply(inverse(X4),inverse(inverse(X4))),
inference(paramodulation,[status(thm)],[f79,f1503]) ).
fof(f1844,plain,
! [X0,X1] : multiply(X0,inverse(X0)) = multiply(inverse(X1),inverse(inverse(X1))),
inference(forward_demodulation,[status(thm)],[f79,f1843]) ).
fof(f2033,plain,
! [X0,X1] : multiply(X0,inverse(X0)) = multiply(X1,inverse(X1)),
inference(paramodulation,[status(thm)],[f1844,f1844]) ).
fof(f2044,plain,
! [X0,X1,X2] : multiply(X0,inverse(X0)) = multiply(inverse(multiply(X1,inverse(X1))),inverse(inverse(multiply(X2,inverse(X2))))),
inference(paramodulation,[status(thm)],[f1251,f1844]) ).
fof(f2045,plain,
! [X0,X1] : multiply(X0,inverse(X0)) = inverse(inverse(inverse(multiply(X1,inverse(X1))))),
inference(forward_demodulation,[status(thm)],[f1311,f2044]) ).
fof(f2195,plain,
! [X0,X1,X2] : inverse(inverse(inverse(multiply(multiply(X0,inverse(X0)),inverse(multiply(X1,inverse(X1))))))) = multiply(X2,inverse(X2)),
inference(paramodulation,[status(thm)],[f1576,f2033]) ).
fof(f2277,plain,
! [X0,X1,X2] : multiply(multiply(inverse(X0),multiply(X1,inverse(X1))),inverse(multiply(X2,inverse(X2)))) = inverse(X0),
inference(paramodulation,[status(thm)],[f2033,f501]) ).
fof(f4570,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(multiply(X0,multiply(X1,inverse(X1))),inverse(multiply(X2,inverse(X2)))) = inverse(multiply(multiply(inverse(multiply(inverse(X3),multiply(inverse(X4),multiply(X4,X0)))),X5),inverse(multiply(X3,X5)))),
inference(paramodulation,[status(thm)],[f79,f2277]) ).
fof(f4571,plain,
! [X0,X1,X2] : multiply(multiply(X0,multiply(X1,inverse(X1))),inverse(multiply(X2,inverse(X2)))) = X0,
inference(forward_demodulation,[status(thm)],[f79,f4570]) ).
fof(f4665,plain,
! [X0,X1,X2,X3] : inverse(multiply(multiply(inverse(inverse(multiply(X0,inverse(X0)))),multiply(X1,inverse(X1))),inverse(multiply(X2,inverse(X2))))) = inverse(multiply(X3,inverse(X3))),
inference(paramodulation,[status(thm)],[f2045,f1533]) ).
fof(f4666,plain,
! [X0,X1] : inverse(inverse(inverse(multiply(X0,inverse(X0))))) = inverse(multiply(X1,inverse(X1))),
inference(forward_demodulation,[status(thm)],[f2277,f4665]) ).
fof(f7478,plain,
! [X0,X1] : multiply(X0,inverse(X0)) = inverse(multiply(X1,inverse(X1))),
inference(paramodulation,[status(thm)],[f2195,f4666]) ).
fof(f7939,plain,
! [X0,X1] : multiply(X0,inverse(X0)) = inverse(inverse(multiply(X1,inverse(X1)))),
inference(paramodulation,[status(thm)],[f7478,f7478]) ).
fof(f8039,plain,
! [X0,X1,X2] : multiply(multiply(inverse(X0),multiply(X0,X1)),inverse(inverse(multiply(X2,inverse(X2))))) = X1,
inference(paramodulation,[status(thm)],[f7478,f1125]) ).
fof(f8040,plain,
! [X0,X1] : inverse(inverse(multiply(inverse(X0),multiply(X0,X1)))) = X1,
inference(forward_demodulation,[status(thm)],[f1311,f8039]) ).
fof(f8059,plain,
! [X0,X1,X2] : multiply(multiply(X0,multiply(X1,inverse(X1))),inverse(inverse(multiply(X2,inverse(X2))))) = X0,
inference(paramodulation,[status(thm)],[f7478,f4571]) ).
fof(f8060,plain,
! [X0,X1] : inverse(inverse(multiply(X0,multiply(X1,inverse(X1))))) = X0,
inference(forward_demodulation,[status(thm)],[f1311,f8059]) ).
fof(f10698,plain,
! [X0,X1] : inverse(inverse(multiply(X0,inverse(inverse(multiply(X1,inverse(X1))))))) = X0,
inference(paramodulation,[status(thm)],[f7939,f8060]) ).
fof(f10699,plain,
! [X0] : inverse(inverse(inverse(inverse(X0)))) = X0,
inference(forward_demodulation,[status(thm)],[f1311,f10698]) ).
fof(f10780,plain,
! [X0,X1] : multiply(X0,multiply(X1,inverse(X1))) = inverse(inverse(X0)),
inference(paramodulation,[status(thm)],[f7939,f1576]) ).
fof(f11355,plain,
! [X0,X1,X2,X3] : multiply(X0,inverse(multiply(inverse(inverse(inverse(multiply(inverse(X1),multiply(X1,X2))))),inverse(multiply(inverse(X0),multiply(X3,inverse(X3))))))) = X2,
inference(paramodulation,[status(thm)],[f10780,f297]) ).
fof(f11356,plain,
! [X0,X1,X2] : multiply(X0,inverse(multiply(inverse(X1),inverse(multiply(inverse(X0),multiply(X2,inverse(X2))))))) = X1,
inference(forward_demodulation,[status(thm)],[f8040,f11355]) ).
fof(f11357,plain,
! [X0,X1] : multiply(X0,inverse(multiply(inverse(X1),inverse(inverse(inverse(inverse(X0))))))) = X1,
inference(forward_demodulation,[status(thm)],[f10780,f11356]) ).
fof(f11358,plain,
! [X0,X1] : multiply(X0,inverse(multiply(inverse(X1),X0))) = X1,
inference(forward_demodulation,[status(thm)],[f10699,f11357]) ).
fof(f11654,plain,
! [X0,X1] : multiply(multiply(X0,inverse(X0)),inverse(inverse(inverse(inverse(X1))))) = X1,
inference(paramodulation,[status(thm)],[f10780,f11358]) ).
fof(f11655,plain,
! [X0,X1] : multiply(multiply(X0,inverse(X0)),X1) = X1,
inference(forward_demodulation,[status(thm)],[f10699,f11654]) ).
fof(f11881,plain,
! [X0,X1] : multiply(inverse(multiply(X0,inverse(X0))),X1) = X1,
inference(paramodulation,[status(thm)],[f11655,f11655]) ).
fof(f12062,plain,
! [X0,X1,X2] : multiply(inverse(X0),multiply(X0,X1)) = multiply(multiply(X2,inverse(X2)),X1),
inference(paramodulation,[status(thm)],[f205,f11881]) ).
fof(f12063,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[status(thm)],[f11655,f12062]) ).
fof(f12239,plain,
! [X0,X1] : inverse(inverse(multiply(multiply(X0,inverse(X0)),X1))) = X1,
inference(paramodulation,[status(thm)],[f11881,f8040]) ).
fof(f12240,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[status(thm)],[f11655,f12239]) ).
fof(f12536,plain,
! [X0,X1,X2,X3] : multiply(X0,inverse(multiply(multiply(inverse(X1),multiply(X1,X2)),inverse(multiply(inverse(X0),multiply(X3,X2)))))) = X3,
inference(backward_demodulation,[status(thm)],[f12063,f353]) ).
fof(f12537,plain,
! [X0,X1,X2] : multiply(X0,inverse(multiply(X1,inverse(multiply(inverse(X0),multiply(X2,X1)))))) = X2,
inference(forward_demodulation,[status(thm)],[f12063,f12536]) ).
fof(f12553,plain,
! [X0,X1] : multiply(inverse(X0),X1) = inverse(multiply(inverse(X1),X0)),
inference(paramodulation,[status(thm)],[f11358,f12063]) ).
fof(f12582,plain,
! [X0,X1] : multiply(multiply(X0,X1),inverse(X1)) = X0,
inference(paramodulation,[status(thm)],[f12063,f11358]) ).
fof(f13340,plain,
! [X0,X1] : multiply(multiply(X0,inverse(X1)),X1) = X0,
inference(paramodulation,[status(thm)],[f12240,f12582]) ).
fof(f13355,plain,
! [X0,X1] : multiply(inverse(multiply(X0,X1)),X0) = inverse(X1),
inference(paramodulation,[status(thm)],[f12582,f12063]) ).
fof(f13612,plain,
! [X0,X1] : multiply(inverse(multiply(X0,inverse(X1))),X0) = X1,
inference(paramodulation,[status(thm)],[f13340,f12063]) ).
fof(f14301,plain,
! [X0,X1] : multiply(X0,inverse(X1)) = inverse(multiply(X1,inverse(X0))),
inference(paramodulation,[status(thm)],[f13612,f12582]) ).
fof(f20063,plain,
! [X0,X1,X2] : multiply(X0,multiply(multiply(inverse(X0),multiply(X1,X2)),inverse(X2))) = X1,
inference(forward_demodulation,[status(thm)],[f14301,f12537]) ).
fof(f26505,plain,
! [X0,X1,X2] : multiply(multiply(multiply(X0,X1),X2),multiply(inverse(X2),inverse(X1))) = X0,
inference(paramodulation,[status(thm)],[f13355,f20063]) ).
fof(f26998,plain,
! [X0,X1,X2] : multiply(X0,inverse(multiply(inverse(X1),inverse(X2)))) = multiply(multiply(X0,X2),X1),
inference(paramodulation,[status(thm)],[f26505,f12582]) ).
fof(f26999,plain,
! [X0,X1,X2] : multiply(X0,multiply(inverse(inverse(X1)),X2)) = multiply(multiply(X0,X1),X2),
inference(forward_demodulation,[status(thm)],[f12553,f26998]) ).
fof(f27000,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(multiply(X0,X1),X2),
inference(forward_demodulation,[status(thm)],[f12240,f26999]) ).
fof(f28331,plain,
multiply(a,multiply(b,c)) != multiply(a,multiply(b,c)),
inference(backward_demodulation,[status(thm)],[f27000,f4]) ).
fof(f28332,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f28331]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : GRP014-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.31 % Computer : n008.cluster.edu
% 0.09/0.31 % Model : x86_64 x86_64
% 0.09/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31 % Memory : 8042.1875MB
% 0.09/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31 % CPULimit : 300
% 0.09/0.31 % WCLimit : 300
% 0.09/0.31 % DateTime : Tue May 30 11:33:38 EDT 2023
% 0.09/0.31 % CPUTime :
% 0.09/0.31 % Drodi V3.5.1
% 60.01/8.00 % Refutation found
% 60.01/8.00 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 60.01/8.00 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 61.29/8.17 % Elapsed time: 7.851230 seconds
% 61.29/8.17 % CPU time: 61.050138 seconds
% 61.29/8.17 % Memory used: 741.438 MB
%------------------------------------------------------------------------------