TSTP Solution File: GRP432-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP432-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n031.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 7.71s 1.43s
% Output : CNFRefutation 8.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 2
% Syntax : Number of formulae : 55 ( 55 unt; 0 def)
% Number of atoms : 55 ( 54 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 10 ( 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 : 182 (; 182 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C,D] : multiply(A,inverse(multiply(B,multiply(multiply(multiply(C,inverse(C)),inverse(multiply(D,B))),A)))) = D,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,plain,
! [X0,X1,X2,X3] : multiply(X0,inverse(multiply(X1,multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(X3,X1))),X0)))) = X3,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f4,plain,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f5,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(inverse(multiply(X0,multiply(multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,X0))),multiply(multiply(X3,inverse(X3)),inverse(multiply(X4,X5)))))),inverse(multiply(X5,X2))) = X4,
inference(paramodulation,[status(thm)],[f3,f3]) ).
fof(f6,plain,
! [X0,X1,X2,X3,X4] : multiply(X0,inverse(multiply(multiply(multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,X3))),multiply(X4,inverse(X4))),multiply(X2,X0)))) = X3,
inference(paramodulation,[status(thm)],[f3,f3]) ).
fof(f7,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(X0,inverse(multiply(inverse(multiply(X1,multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(X3,X1))),X4))),multiply(multiply(multiply(X5,inverse(X5)),inverse(X3)),X0)))) = X4,
inference(paramodulation,[status(thm)],[f3,f3]) ).
fof(f8,plain,
! [X0,X1,X2,X3,X4,X5,X6] : multiply(X0,inverse(multiply(multiply(X1,multiply(X2,inverse(X2))),multiply(multiply(multiply(multiply(X3,inverse(X3)),inverse(multiply(X4,X1))),multiply(X5,inverse(X5))),X0)))) = multiply(X4,multiply(X6,inverse(X6))),
inference(paramodulation,[status(thm)],[f6,f6]) ).
fof(f9,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(X0,inverse(multiply(multiply(X1,multiply(X2,inverse(X2))),multiply(X3,X0)))) = multiply(multiply(multiply(X4,inverse(X4)),inverse(multiply(X1,X3))),multiply(X5,inverse(X5))),
inference(paramodulation,[status(thm)],[f3,f6]) ).
fof(f11,plain,
! [X0,X1,X2,X3,X4,X5,X6] : multiply(X0,inverse(multiply(multiply(multiply(multiply(X1,inverse(X1)),inverse(X2)),multiply(X3,inverse(X3))),multiply(X4,X0)))) = inverse(multiply(X5,multiply(multiply(multiply(X6,inverse(X6)),inverse(multiply(X2,X5))),X4))),
inference(paramodulation,[status(thm)],[f3,f6]) ).
fof(f42,plain,
! [X0,X1,X2,X3,X4] : multiply(multiply(X0,inverse(X0)),inverse(multiply(X1,multiply(X2,inverse(multiply(multiply(X3,multiply(X4,inverse(X4))),multiply(X1,X2))))))) = X3,
inference(paramodulation,[status(thm)],[f9,f3]) ).
fof(f105,plain,
! [X0,X1,X2,X3] : multiply(multiply(X0,inverse(X0)),inverse(multiply(X1,X2))) = multiply(multiply(X3,inverse(X3)),inverse(multiply(X1,X2))),
inference(paramodulation,[status(thm)],[f6,f42]) ).
fof(f141,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] : multiply(multiply(X0,inverse(X0)),inverse(X1)) = multiply(multiply(X2,inverse(X2)),inverse(multiply(inverse(multiply(X3,multiply(multiply(multiply(X4,inverse(X4)),inverse(multiply(X5,X3))),multiply(multiply(X6,inverse(X6)),inverse(multiply(X1,X7)))))),inverse(multiply(X7,X5))))),
inference(paramodulation,[status(thm)],[f5,f105]) ).
fof(f142,plain,
! [X0,X1,X2] : multiply(multiply(X0,inverse(X0)),inverse(X1)) = multiply(multiply(X2,inverse(X2)),inverse(X1)),
inference(forward_demodulation,[status(thm)],[f5,f141]) ).
fof(f204,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] : multiply(inverse(multiply(X0,multiply(multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,X0))),multiply(multiply(X3,inverse(X3)),inverse(multiply(multiply(X4,inverse(X4)),inverse(multiply(X5,X6)))))))),inverse(multiply(inverse(multiply(X5,X6)),X2))) = multiply(X7,inverse(X7)),
inference(paramodulation,[status(thm)],[f105,f5]) ).
fof(f205,plain,
! [X0,X1] : multiply(X0,inverse(X0)) = multiply(X1,inverse(X1)),
inference(forward_demodulation,[status(thm)],[f5,f204]) ).
fof(f269,plain,
! [X0,X1,X2] : multiply(X0,inverse(multiply(inverse(X1),multiply(multiply(X2,inverse(X2)),X0)))) = X1,
inference(paramodulation,[status(thm)],[f205,f3]) ).
fof(f372,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(multiply(multiply(X1,inverse(X1)),inverse(multiply(multiply(X2,inverse(X2)),X0))),X3)) = X3,
inference(paramodulation,[status(thm)],[f269,f7]) ).
fof(f472,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,inverse(X1))) = multiply(X0,multiply(X2,inverse(X2))),
inference(paramodulation,[status(thm)],[f8,f8]) ).
fof(f705,plain,
! [X0,X1,X2] : multiply(X0,inverse(X0)) = multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,inverse(X2)))),
inference(paramodulation,[status(thm)],[f205,f142]) ).
fof(f1052,plain,
! [X0,X1,X2,X3] : X0 = inverse(multiply(X1,multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(multiply(X3,X0),X1))),X3))),
inference(paramodulation,[status(thm)],[f6,f11]) ).
fof(f3393,plain,
! [X0,X1,X2] : X0 = inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(X1))),X0)),multiply(X2,inverse(X2)))),
inference(paramodulation,[status(thm)],[f705,f1052]) ).
fof(f3400,plain,
! [X0,X1,X2] : X0 = inverse(multiply(inverse(multiply(X1,X0)),multiply(multiply(X2,inverse(X2)),X1))),
inference(paramodulation,[status(thm)],[f705,f1052]) ).
fof(f5605,plain,
! [X0,X1,X2] : multiply(multiply(X0,inverse(X0)),X1) = inverse(multiply(inverse(X1),multiply(X2,inverse(X2)))),
inference(paramodulation,[status(thm)],[f3400,f3393]) ).
fof(f5846,plain,
! [X0,X1,X2] : multiply(multiply(X0,inverse(X0)),multiply(inverse(multiply(X1,inverse(X1))),X2)) = X2,
inference(paramodulation,[status(thm)],[f3393,f5605]) ).
fof(f6333,plain,
! [X0,X1,X2] : X0 = inverse(multiply(inverse(multiply(multiply(inverse(multiply(X1,inverse(X1))),X2),X0)),X2)),
inference(paramodulation,[status(thm)],[f5846,f1052]) ).
fof(f7580,plain,
! [X0,X1,X2,X3,X4] : multiply(multiply(multiply(X0,inverse(X0)),inverse(multiply(multiply(X1,inverse(X1)),multiply(inverse(multiply(X2,inverse(X2))),X3)))),X4) = inverse(multiply(inverse(X4),X3)),
inference(paramodulation,[status(thm)],[f372,f6333]) ).
fof(f7581,plain,
! [X0,X1,X2] : multiply(multiply(multiply(X0,inverse(X0)),inverse(X1)),X2) = inverse(multiply(inverse(X2),X1)),
inference(forward_demodulation,[status(thm)],[f5846,f7580]) ).
fof(f8575,plain,
! [X0,X1,X2,X3,X4] : multiply(X0,inverse(multiply(multiply(X1,multiply(X2,inverse(X2))),multiply(X3,X0)))) = inverse(multiply(inverse(multiply(X4,inverse(X4))),multiply(X1,X3))),
inference(backward_demodulation,[status(thm)],[f7581,f9]) ).
fof(f8576,plain,
! [X0,X1,X2,X3] : multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(X1))),multiply(X2,X3))),multiply(X2,X0)))) = X3,
inference(backward_demodulation,[status(thm)],[f7581,f6]) ).
fof(f8583,plain,
! [X0,X1,X2] : multiply(X0,inverse(multiply(X1,inverse(multiply(inverse(X0),multiply(X2,X1)))))) = X2,
inference(backward_demodulation,[status(thm)],[f7581,f3]) ).
fof(f9081,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(paramodulation,[status(thm)],[f3393,f8576]) ).
fof(f9240,plain,
! [X0,X1] : multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(paramodulation,[status(thm)],[f9081,f9081]) ).
fof(f9273,plain,
! [X0,X1] : multiply(X0,inverse(multiply(X1,inverse(X1)))) = X0,
inference(paramodulation,[status(thm)],[f9081,f8583]) ).
fof(f9335,plain,
! [X0,X1,X2,X3,X4] : multiply(multiply(X0,inverse(X0)),inverse(multiply(X1,multiply(X2,inverse(multiply(multiply(X3,multiply(X4,inverse(X4))),multiply(X1,X2))))))) = inverse(inverse(X3)),
inference(paramodulation,[status(thm)],[f9240,f42]) ).
fof(f9336,plain,
! [X0] : X0 = inverse(inverse(X0)),
inference(forward_demodulation,[status(thm)],[f42,f9335]) ).
fof(f9420,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(paramodulation,[status(thm)],[f9336,f9081]) ).
fof(f9459,plain,
! [X0,X1] : multiply(X0,inverse(X0)) = multiply(inverse(X1),X1),
inference(paramodulation,[status(thm)],[f9336,f205]) ).
fof(f9474,plain,
! [X0,X1] : multiply(X0,multiply(X1,inverse(X1))) = inverse(inverse(X0)),
inference(paramodulation,[status(thm)],[f472,f9420]) ).
fof(f9475,plain,
! [X0,X1] : multiply(X0,multiply(X1,inverse(X1))) = X0,
inference(forward_demodulation,[status(thm)],[f9336,f9474]) ).
fof(f9530,plain,
! [X0,X1] : multiply(multiply(X0,inverse(X0)),X1) = inverse(inverse(inverse(inverse(X1)))),
inference(paramodulation,[status(thm)],[f9420,f5605]) ).
fof(f9531,plain,
! [X0,X1] : multiply(multiply(X0,inverse(X0)),X1) = inverse(inverse(X1)),
inference(forward_demodulation,[status(thm)],[f9336,f9530]) ).
fof(f9532,plain,
! [X0,X1] : multiply(multiply(X0,inverse(X0)),X1) = X1,
inference(forward_demodulation,[status(thm)],[f9336,f9531]) ).
fof(f9839,plain,
! [X0,X1] : multiply(inverse(X0),X1) = inverse(multiply(inverse(X1),X0)),
inference(backward_demodulation,[status(thm)],[f9532,f7581]) ).
fof(f10357,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),inverse(multiply(X1,inverse(multiply(X2,inverse(X2)))))) = X0,
inference(paramodulation,[status(thm)],[f9459,f8583]) ).
fof(f10358,plain,
! [X0,X1] : multiply(multiply(X0,X1),inverse(X1)) = X0,
inference(forward_demodulation,[status(thm)],[f9273,f10357]) ).
fof(f10444,plain,
! [X0,X1] : multiply(inverse(multiply(X0,X1)),X0) = inverse(X1),
inference(paramodulation,[status(thm)],[f10358,f9081]) ).
fof(f17418,plain,
! [X0,X1,X2,X3] : multiply(X0,inverse(multiply(X1,multiply(X2,X0)))) = inverse(multiply(inverse(multiply(X3,inverse(X3))),multiply(X1,X2))),
inference(forward_demodulation,[status(thm)],[f9475,f8575]) ).
fof(f17419,plain,
! [X0,X1,X2,X3] : multiply(X0,inverse(multiply(X1,multiply(X2,X0)))) = multiply(inverse(multiply(X1,X2)),multiply(X3,inverse(X3))),
inference(forward_demodulation,[status(thm)],[f9839,f17418]) ).
fof(f17420,plain,
! [X0,X1,X2] : multiply(X0,inverse(multiply(X1,multiply(X2,X0)))) = inverse(multiply(X1,X2)),
inference(forward_demodulation,[status(thm)],[f9475,f17419]) ).
fof(f17631,plain,
! [X0,X1,X2] : multiply(inverse(inverse(multiply(X0,X1))),X2) = inverse(inverse(multiply(X0,multiply(X1,X2)))),
inference(paramodulation,[status(thm)],[f17420,f10444]) ).
fof(f17632,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = inverse(inverse(multiply(X0,multiply(X1,X2)))),
inference(forward_demodulation,[status(thm)],[f9336,f17631]) ).
fof(f17633,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(forward_demodulation,[status(thm)],[f9336,f17632]) ).
fof(f17670,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(backward_demodulation,[status(thm)],[f17633,f4]) ).
fof(f17671,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f17670]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GRP432-1 : 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 : n031.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 11:53:37 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.5.1
% 7.71/1.43 % Refutation found
% 7.71/1.43 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 7.71/1.43 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 8.15/1.49 % Elapsed time: 1.132082 seconds
% 8.15/1.49 % CPU time: 8.208310 seconds
% 8.15/1.49 % Memory used: 132.867 MB
%------------------------------------------------------------------------------