TSTP Solution File: GRP433-1 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP433-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n023.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 12:11:41 EDT 2023
% Result : Unsatisfiable 3.77s 0.87s
% Output : CNFRefutation 3.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 2
% Syntax : Number of formulae : 67 ( 67 unt; 0 def)
% Number of atoms : 67 ( 66 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 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 : 217 (; 217 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C,D] : inverse(multiply(multiply(multiply(inverse(multiply(multiply(A,B),C)),A),B),multiply(D,inverse(D)))) = C,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,plain,
! [X0,X1,X2,X3] : inverse(multiply(multiply(multiply(inverse(multiply(multiply(X0,X1),X2)),X0),X1),multiply(X3,inverse(X3)))) = X2,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f4,plain,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f5,plain,
! [X0,X1,X2,X3,X4] : inverse(multiply(multiply(multiply(X0,multiply(inverse(multiply(multiply(X1,X2),X0)),X1)),X2),multiply(X3,inverse(X3)))) = multiply(X4,inverse(X4)),
inference(paramodulation,[status(thm)],[f3,f3]) ).
fof(f7,plain,
! [X0,X1] : multiply(X0,inverse(X0)) = multiply(X1,inverse(X1)),
inference(paramodulation,[status(thm)],[f5,f5]) ).
fof(f34,plain,
! [X0,X1,X2,X3] : inverse(multiply(multiply(multiply(inverse(multiply(X0,inverse(X0))),X1),X2),multiply(X3,inverse(X3)))) = inverse(multiply(X1,X2)),
inference(paramodulation,[status(thm)],[f7,f3]) ).
fof(f39,plain,
! [X0,X1,X2,X3] : inverse(multiply(multiply(multiply(inverse(multiply(multiply(X0,inverse(X0)),X1)),X2),inverse(X2)),multiply(X3,inverse(X3)))) = X1,
inference(paramodulation,[status(thm)],[f7,f3]) ).
fof(f51,plain,
! [X0,X1,X2,X3] : inverse(multiply(multiply(multiply(X0,inverse(X0)),X1),multiply(X2,inverse(X2)))) = inverse(multiply(inverse(inverse(multiply(X3,inverse(X3)))),X1)),
inference(paramodulation,[status(thm)],[f7,f34]) ).
fof(f110,plain,
! [X0,X1] : inverse(multiply(X0,inverse(X0))) = inverse(multiply(X1,inverse(X1))),
inference(paramodulation,[status(thm)],[f34,f39]) ).
fof(f137,plain,
! [X0,X1,X2,X3,X4,X5,X6] : inverse(multiply(multiply(multiply(inverse(multiply(multiply(X0,inverse(X0)),X1)),X2),inverse(X2)),multiply(multiply(multiply(multiply(inverse(multiply(multiply(X3,inverse(X3)),X4)),X5),inverse(X5)),multiply(X6,inverse(X6))),X4))) = X1,
inference(paramodulation,[status(thm)],[f39,f39]) ).
fof(f148,plain,
! [X0,X1,X2,X3,X4,X5,X6] : inverse(multiply(multiply(multiply(inverse(multiply(X0,inverse(X0))),X1),X2),multiply(multiply(multiply(multiply(inverse(multiply(multiply(X3,inverse(X3)),X4)),X5),inverse(X5)),multiply(X6,inverse(X6))),X4))) = inverse(multiply(X1,X2)),
inference(paramodulation,[status(thm)],[f39,f34]) ).
fof(f192,plain,
! [X0,X1,X2] : multiply(X0,inverse(X0)) = multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,inverse(X2)))),
inference(paramodulation,[status(thm)],[f110,f7]) ).
fof(f265,plain,
! [X0,X1,X2,X3,X4] : inverse(multiply(multiply(multiply(multiply(X0,inverse(X0)),inverse(multiply(X1,inverse(X1)))),inverse(inverse(inverse(multiply(multiply(X2,inverse(X2)),X3))))),multiply(X4,inverse(X4)))) = X3,
inference(paramodulation,[status(thm)],[f192,f39]) ).
fof(f266,plain,
! [X0,X1,X2,X3,X4] : inverse(multiply(multiply(multiply(multiply(X0,inverse(X0)),inverse(multiply(X1,inverse(X1)))),X2),multiply(X3,inverse(X3)))) = inverse(multiply(inverse(inverse(multiply(X4,inverse(X4)))),X2)),
inference(paramodulation,[status(thm)],[f192,f34]) ).
fof(f289,plain,
! [X0,X1,X2,X3,X4] : inverse(multiply(multiply(multiply(inverse(multiply(X0,inverse(X0))),multiply(inverse(multiply(X1,inverse(X1))),X2)),inverse(X2)),multiply(X3,inverse(X3)))) = multiply(X4,inverse(X4)),
inference(paramodulation,[status(thm)],[f192,f5]) ).
fof(f290,plain,
! [X0,X1,X2] : inverse(multiply(multiply(inverse(multiply(X0,inverse(X0))),X1),inverse(X1))) = multiply(X2,inverse(X2)),
inference(forward_demodulation,[status(thm)],[f34,f289]) ).
fof(f358,plain,
! [X0,X1,X2,X3] : inverse(multiply(multiply(multiply(multiply(X0,inverse(X0)),inverse(multiply(X1,inverse(X1)))),X2),multiply(X3,inverse(X3)))) = inverse(X2),
inference(paramodulation,[status(thm)],[f290,f3]) ).
fof(f407,plain,
! [X0,X1] : inverse(inverse(inverse(inverse(multiply(multiply(X0,inverse(X0)),X1))))) = X1,
inference(backward_demodulation,[status(thm)],[f358,f265]) ).
fof(f408,plain,
! [X0,X1] : inverse(X0) = inverse(multiply(inverse(inverse(multiply(X1,inverse(X1)))),X0)),
inference(backward_demodulation,[status(thm)],[f358,f266]) ).
fof(f413,plain,
! [X0,X1,X2] : inverse(multiply(multiply(multiply(X0,inverse(X0)),X1),multiply(X2,inverse(X2)))) = inverse(X1),
inference(backward_demodulation,[status(thm)],[f408,f51]) ).
fof(f452,plain,
! [X0,X1,X2,X3,X4] : inverse(multiply(multiply(multiply(inverse(multiply(multiply(X0,inverse(X0)),X1)),X2),inverse(X2)),multiply(inverse(inverse(inverse(multiply(multiply(X3,inverse(X3)),X4)))),X4))) = X1,
inference(paramodulation,[status(thm)],[f407,f39]) ).
fof(f456,plain,
! [X0,X1,X2,X3,X4] : inverse(multiply(multiply(multiply(inverse(multiply(X0,inverse(X0))),X1),X2),multiply(inverse(inverse(inverse(multiply(multiply(X3,inverse(X3)),X4)))),X4))) = inverse(multiply(X1,X2)),
inference(paramodulation,[status(thm)],[f407,f34]) ).
fof(f458,plain,
! [X0,X1,X2] : multiply(X0,inverse(X0)) = multiply(inverse(inverse(inverse(multiply(multiply(X1,inverse(X1)),X2)))),X2),
inference(paramodulation,[status(thm)],[f407,f7]) ).
fof(f470,plain,
! [X0,X1] : inverse(X0) = inverse(multiply(inverse(inverse(inverse(inverse(inverse(multiply(X1,inverse(X1))))))),X0)),
inference(paramodulation,[status(thm)],[f408,f408]) ).
fof(f494,plain,
! [X0,X1,X2,X3] : inverse(multiply(multiply(multiply(inverse(inverse(inverse(inverse(multiply(X0,inverse(X0)))))),X1),X2),multiply(X3,inverse(X3)))) = inverse(multiply(X1,X2)),
inference(paramodulation,[status(thm)],[f408,f34]) ).
fof(f519,plain,
! [X0,X1,X2,X3] : inverse(multiply(multiply(multiply(X0,inverse(X0)),inverse(multiply(X1,inverse(X1)))),multiply(X2,inverse(X2)))) = inverse(inverse(multiply(X3,inverse(X3)))),
inference(paramodulation,[status(thm)],[f192,f413]) ).
fof(f520,plain,
! [X0,X1] : inverse(inverse(multiply(X0,inverse(X0)))) = inverse(inverse(multiply(X1,inverse(X1)))),
inference(forward_demodulation,[status(thm)],[f413,f519]) ).
fof(f560,plain,
! [X0,X1] : inverse(inverse(inverse(inverse(inverse(multiply(X0,inverse(X0))))))) = multiply(X1,inverse(X1)),
inference(paramodulation,[status(thm)],[f413,f407]) ).
fof(f653,plain,
! [X0,X1,X2,X3,X4] : inverse(multiply(multiply(multiply(inverse(multiply(multiply(X0,inverse(X0)),X1)),inverse(multiply(X2,inverse(X2)))),inverse(inverse(multiply(X3,inverse(X3))))),multiply(X4,inverse(X4)))) = X1,
inference(paramodulation,[status(thm)],[f520,f39]) ).
fof(f656,plain,
! [X0,X1,X2,X3,X4] : inverse(multiply(multiply(multiply(inverse(multiply(X0,inverse(X0))),X1),X2),multiply(inverse(multiply(X3,inverse(X3))),inverse(inverse(multiply(X4,inverse(X4))))))) = inverse(multiply(X1,X2)),
inference(paramodulation,[status(thm)],[f520,f34]) ).
fof(f881,plain,
! [X0,X1,X2,X3] : inverse(multiply(multiply(multiply(inverse(inverse(inverse(inverse(multiply(X0,inverse(X0)))))),multiply(X1,inverse(X1))),X2),multiply(X3,inverse(X3)))) = inverse(X2),
inference(paramodulation,[status(thm)],[f560,f413]) ).
fof(f882,plain,
! [X0,X1] : inverse(multiply(multiply(X0,inverse(X0)),X1)) = inverse(X1),
inference(forward_demodulation,[status(thm)],[f494,f881]) ).
fof(f922,plain,
! [X0,X1,X2,X3] : inverse(multiply(multiply(inverse(inverse(inverse(inverse(inverse(multiply(X0,inverse(X0))))))),X1),multiply(X2,inverse(X2)))) = inverse(multiply(inverse(inverse(multiply(X3,inverse(X3)))),X1)),
inference(paramodulation,[status(thm)],[f560,f34]) ).
fof(f923,plain,
! [X0,X1,X2] : inverse(multiply(multiply(inverse(inverse(inverse(inverse(inverse(multiply(X0,inverse(X0))))))),X1),multiply(X2,inverse(X2)))) = inverse(X1),
inference(forward_demodulation,[status(thm)],[f408,f922]) ).
fof(f928,plain,
! [X0,X1,X2] : inverse(multiply(multiply(multiply(X0,inverse(X0)),X1),inverse(inverse(inverse(inverse(inverse(multiply(X2,inverse(X2))))))))) = inverse(X1),
inference(paramodulation,[status(thm)],[f560,f413]) ).
fof(f931,plain,
! [X0,X1] : inverse(inverse(inverse(inverse(multiply(inverse(inverse(inverse(inverse(inverse(multiply(X0,inverse(X0))))))),X1))))) = X1,
inference(paramodulation,[status(thm)],[f560,f407]) ).
fof(f932,plain,
! [X0] : inverse(inverse(inverse(inverse(X0)))) = X0,
inference(forward_demodulation,[status(thm)],[f470,f931]) ).
fof(f950,plain,
! [X0,X1,X2,X3] : inverse(multiply(multiply(multiply(inverse(multiply(inverse(inverse(inverse(inverse(inverse(multiply(X0,inverse(X0))))))),X1)),X2),inverse(X2)),multiply(X3,inverse(X3)))) = X1,
inference(paramodulation,[status(thm)],[f560,f39]) ).
fof(f951,plain,
! [X0,X1,X2] : inverse(multiply(multiply(multiply(inverse(X0),X1),inverse(X1)),multiply(X2,inverse(X2)))) = X0,
inference(forward_demodulation,[status(thm)],[f470,f950]) ).
fof(f973,plain,
! [X0,X1,X2,X3] : inverse(multiply(multiply(multiply(inverse(multiply(inverse(inverse(inverse(inverse(inverse(multiply(X0,inverse(X0))))))),X1)),X2),inverse(X2)),multiply(X3,inverse(X3)))) = X1,
inference(paramodulation,[status(thm)],[f560,f3]) ).
fof(f974,plain,
! [X0,X1] : multiply(inverse(inverse(inverse(inverse(inverse(multiply(X0,inverse(X0))))))),X1) = X1,
inference(forward_demodulation,[status(thm)],[f951,f973]) ).
fof(f975,plain,
! [X0,X1] : multiply(inverse(multiply(X0,inverse(X0))),X1) = X1,
inference(forward_demodulation,[status(thm)],[f932,f974]) ).
fof(f1032,plain,
! [X0,X1,X2,X3] : inverse(multiply(multiply(multiply(inverse(X0),inverse(multiply(X1,inverse(X1)))),inverse(inverse(multiply(X2,inverse(X2))))),multiply(X3,inverse(X3)))) = X0,
inference(backward_demodulation,[status(thm)],[f882,f653]) ).
fof(f1050,plain,
! [X0,X1] : multiply(X0,inverse(X0)) = multiply(inverse(inverse(inverse(X1))),X1),
inference(backward_demodulation,[status(thm)],[f882,f458]) ).
fof(f1052,plain,
! [X0,X1,X2,X3] : inverse(multiply(multiply(multiply(inverse(multiply(X0,inverse(X0))),X1),X2),multiply(inverse(inverse(inverse(X3))),X3))) = inverse(multiply(X1,X2)),
inference(backward_demodulation,[status(thm)],[f882,f456]) ).
fof(f1053,plain,
! [X0,X1,X2] : inverse(multiply(multiply(X0,X1),multiply(inverse(inverse(inverse(X2))),X2))) = inverse(multiply(X0,X1)),
inference(forward_demodulation,[status(thm)],[f975,f1052]) ).
fof(f1059,plain,
! [X0,X1,X2,X3] : inverse(multiply(multiply(multiply(inverse(multiply(multiply(X0,inverse(X0)),X1)),X2),inverse(X2)),multiply(inverse(inverse(inverse(X3))),X3))) = X1,
inference(backward_demodulation,[status(thm)],[f882,f452]) ).
fof(f1060,plain,
! [X0,X1,X2] : inverse(multiply(multiply(inverse(multiply(multiply(X0,inverse(X0)),X1)),X2),inverse(X2))) = X1,
inference(forward_demodulation,[status(thm)],[f1053,f1059]) ).
fof(f1061,plain,
! [X0,X1] : inverse(multiply(multiply(inverse(X0),X1),inverse(X1))) = X0,
inference(forward_demodulation,[status(thm)],[f882,f1060]) ).
fof(f1103,plain,
! [X0,X1,X2,X3,X4,X5] : inverse(multiply(multiply(multiply(inverse(multiply(X0,inverse(X0))),X1),X2),multiply(multiply(multiply(multiply(inverse(X3),X4),inverse(X4)),multiply(X5,inverse(X5))),X3))) = inverse(multiply(X1,X2)),
inference(backward_demodulation,[status(thm)],[f882,f148]) ).
fof(f1104,plain,
! [X0,X1,X2,X3,X4] : inverse(multiply(multiply(X0,X1),multiply(multiply(multiply(multiply(inverse(X2),X3),inverse(X3)),multiply(X4,inverse(X4))),X2))) = inverse(multiply(X0,X1)),
inference(forward_demodulation,[status(thm)],[f975,f1103]) ).
fof(f1113,plain,
! [X0,X1,X2,X3,X4,X5] : inverse(multiply(multiply(multiply(inverse(multiply(multiply(X0,inverse(X0)),X1)),X2),inverse(X2)),multiply(multiply(multiply(multiply(inverse(X3),X4),inverse(X4)),multiply(X5,inverse(X5))),X3))) = X1,
inference(backward_demodulation,[status(thm)],[f882,f137]) ).
fof(f1114,plain,
! [X0,X1,X2] : inverse(multiply(multiply(inverse(multiply(multiply(X0,inverse(X0)),X1)),X2),inverse(X2))) = X1,
inference(forward_demodulation,[status(thm)],[f1104,f1113]) ).
fof(f1115,plain,
! [X0,X1] : multiply(multiply(X0,inverse(X0)),X1) = X1,
inference(forward_demodulation,[status(thm)],[f1061,f1114]) ).
fof(f1170,plain,
! [X0,X1,X2] : inverse(multiply(multiply(multiply(X0,inverse(X0)),X1),inverse(multiply(X2,inverse(X2))))) = inverse(X1),
inference(backward_demodulation,[status(thm)],[f932,f928]) ).
fof(f1171,plain,
! [X0,X1] : inverse(multiply(X0,inverse(multiply(X1,inverse(X1))))) = inverse(X0),
inference(forward_demodulation,[status(thm)],[f1115,f1170]) ).
fof(f1172,plain,
! [X0,X1,X2] : inverse(multiply(multiply(inverse(multiply(X0,inverse(X0))),X1),multiply(X2,inverse(X2)))) = inverse(X1),
inference(backward_demodulation,[status(thm)],[f932,f923]) ).
fof(f1173,plain,
! [X0,X1] : inverse(multiply(X0,multiply(X1,inverse(X1)))) = inverse(X0),
inference(forward_demodulation,[status(thm)],[f975,f1172]) ).
fof(f1409,plain,
! [X0,X1,X2,X3] : inverse(multiply(multiply(multiply(inverse(multiply(X0,inverse(X0))),X1),X2),inverse(inverse(multiply(X3,inverse(X3)))))) = inverse(multiply(X1,X2)),
inference(backward_demodulation,[status(thm)],[f975,f656]) ).
fof(f1410,plain,
! [X0,X1,X2] : inverse(multiply(multiply(X0,X1),inverse(inverse(multiply(X2,inverse(X2)))))) = inverse(multiply(X0,X1)),
inference(forward_demodulation,[status(thm)],[f975,f1409]) ).
fof(f1757,plain,
! [X0,X1,X2] : inverse(multiply(multiply(inverse(X0),inverse(multiply(X1,inverse(X1)))),inverse(inverse(multiply(X2,inverse(X2)))))) = X0,
inference(backward_demodulation,[status(thm)],[f1173,f1032]) ).
fof(f1758,plain,
! [X0,X1] : inverse(multiply(inverse(X0),inverse(multiply(X1,inverse(X1))))) = X0,
inference(forward_demodulation,[status(thm)],[f1410,f1757]) ).
fof(f1759,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[status(thm)],[f1171,f1758]) ).
fof(f1893,plain,
! [X0,X1] : multiply(X0,inverse(X0)) = multiply(inverse(X1),X1),
inference(backward_demodulation,[status(thm)],[f1759,f1050]) ).
fof(f2128,plain,
! [X0,X1] : multiply(inverse(X0),X0) = multiply(inverse(X1),X1),
inference(paramodulation,[status(thm)],[f1893,f1893]) ).
fof(f2129,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f4,f2128]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : GRP433-1 : TPTP v8.1.2. Released v2.6.0.
% 0.04/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue May 30 11:46:38 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Drodi V3.5.1
% 3.77/0.87 % Refutation found
% 3.77/0.87 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 3.77/0.87 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 3.77/0.90 % Elapsed time: 0.545299 seconds
% 3.77/0.90 % CPU time: 4.182278 seconds
% 3.77/0.90 % Memory used: 54.089 MB
%------------------------------------------------------------------------------