TSTP Solution File: BOO034-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : BOO034-1 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n028.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 12:02:52 EDT 2023
% Result : Unsatisfiable 0.09s 0.34s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 6
% Syntax : Number of formulae : 35 ( 35 unt; 0 def)
% Number of atoms : 35 ( 34 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 9 ( 9 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-3 aty)
% Number of variables : 68 (; 68 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [V,W,X,Y,Z] : multiply(multiply(V,W,X),Y,multiply(V,W,Z)) = multiply(V,W,multiply(X,Y,Z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [Y,X] : multiply(Y,X,X) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y] : multiply(X,X,Y) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [Y,X] : multiply(inverse(Y),Y,X) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X,Y] : multiply(X,Y,inverse(Y)) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
multiply(multiply(a,inverse(a),b),inverse(multiply(multiply(c,d,e),f,multiply(c,d,g))),multiply(d,multiply(g,f,e),c)) != b,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,plain,
! [X0,X1,X2,X3,X4] : multiply(multiply(X0,X1,X2),X3,multiply(X0,X1,X4)) = multiply(X0,X1,multiply(X2,X3,X4)),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f8,plain,
! [X0,X1] : multiply(X0,X1,X1) = X1,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f9,plain,
! [X0,X1] : multiply(X0,X0,X1) = X0,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f10,plain,
! [X0,X1] : multiply(inverse(X0),X0,X1) = X1,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f11,plain,
! [X0,X1] : multiply(X0,X1,inverse(X1)) = X0,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f12,plain,
multiply(multiply(a,inverse(a),b),inverse(multiply(multiply(c,d,e),f,multiply(c,d,g))),multiply(d,multiply(g,f,e),c)) != b,
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f13,plain,
multiply(multiply(a,inverse(a),b),inverse(multiply(c,d,multiply(e,f,g))),multiply(d,multiply(g,f,e),c)) != b,
inference(backward_demodulation,[status(thm)],[f7,f12]) ).
fof(f14,plain,
! [X0,X1,X2,X3] : multiply(X0,X1,X2) = multiply(X0,X1,multiply(X2,multiply(X0,X1,X2),X3)),
inference(paramodulation,[status(thm)],[f9,f7]) ).
fof(f19,plain,
! [X0,X1,X2,X3] : multiply(X0,X1,multiply(X0,X2,X3)) = multiply(X0,X2,multiply(inverse(X2),X1,X3)),
inference(paramodulation,[status(thm)],[f11,f7]) ).
fof(f23,plain,
! [X0,X1,X2,X3] : multiply(X0,X1,multiply(X2,X0,X3)) = multiply(X2,X0,multiply(X0,X1,X3)),
inference(paramodulation,[status(thm)],[f8,f7]) ).
fof(f52,plain,
! [X0,X1,X2] : multiply(X0,X1,inverse(X1)) = multiply(X0,X1,multiply(inverse(X1),X0,X2)),
inference(paramodulation,[status(thm)],[f11,f14]) ).
fof(f53,plain,
! [X0,X1,X2] : X0 = multiply(X0,X1,multiply(inverse(X1),X0,X2)),
inference(forward_demodulation,[status(thm)],[f11,f52]) ).
fof(f463,plain,
! [X0,X1,X2] : X0 = multiply(inverse(X1),X0,multiply(X0,X1,X2)),
inference(paramodulation,[status(thm)],[f53,f23]) ).
fof(f621,plain,
! [X0,X1] : X0 = multiply(inverse(X1),X0,X1),
inference(paramodulation,[status(thm)],[f8,f463]) ).
fof(f650,plain,
! [X0] : X0 = inverse(inverse(X0)),
inference(paramodulation,[status(thm)],[f11,f621]) ).
fof(f683,plain,
! [X0,X1] : X0 = multiply(X1,X0,inverse(X1)),
inference(paramodulation,[status(thm)],[f650,f621]) ).
fof(f691,plain,
! [X0,X1] : multiply(X0,inverse(X1),X1) = X0,
inference(paramodulation,[status(thm)],[f650,f11]) ).
fof(f692,plain,
! [X0,X1] : multiply(X0,inverse(X0),X1) = X1,
inference(paramodulation,[status(thm)],[f650,f10]) ).
fof(f712,plain,
! [X0,X1,X2] : multiply(X0,X1,multiply(X2,X0,inverse(X0))) = multiply(X2,X0,X1),
inference(paramodulation,[status(thm)],[f683,f23]) ).
fof(f713,plain,
! [X0,X1,X2] : multiply(X0,X1,X2) = multiply(X2,X0,X1),
inference(forward_demodulation,[status(thm)],[f11,f712]) ).
fof(f771,plain,
multiply(b,inverse(multiply(c,d,multiply(e,f,g))),multiply(d,multiply(g,f,e),c)) != b,
inference(backward_demodulation,[status(thm)],[f692,f13]) ).
fof(f1180,plain,
multiply(b,inverse(multiply(c,d,multiply(e,f,g))),multiply(c,d,multiply(g,f,e))) != b,
inference(forward_demodulation,[status(thm)],[f713,f771]) ).
fof(f1181,plain,
multiply(b,inverse(multiply(c,d,multiply(e,f,g))),multiply(c,d,multiply(f,e,g))) != b,
inference(forward_demodulation,[status(thm)],[f713,f1180]) ).
fof(f1182,plain,
multiply(b,inverse(multiply(c,d,multiply(e,f,g))),multiply(c,d,multiply(e,g,f))) != b,
inference(forward_demodulation,[status(thm)],[f713,f1181]) ).
fof(f1242,plain,
! [X0,X1,X2] : multiply(X0,X1,X2) = multiply(X0,X2,multiply(inverse(X2),X1,X2)),
inference(paramodulation,[status(thm)],[f8,f19]) ).
fof(f1243,plain,
! [X0,X1,X2] : multiply(X0,X1,X2) = multiply(X0,X2,X1),
inference(forward_demodulation,[status(thm)],[f621,f1242]) ).
fof(f1773,plain,
multiply(b,inverse(multiply(c,d,multiply(e,f,g))),multiply(c,d,multiply(e,f,g))) != b,
inference(paramodulation,[status(thm)],[f1243,f1182]) ).
fof(f1774,plain,
b != b,
inference(forward_demodulation,[status(thm)],[f691,f1773]) ).
fof(f1775,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f1774]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.07 % Problem : BOO034-1 : TPTP v8.1.2. Released v2.2.0.
% 0.02/0.07 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.07/0.25 % Computer : n028.cluster.edu
% 0.07/0.25 % Model : x86_64 x86_64
% 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.25 % Memory : 8042.1875MB
% 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.25 % CPULimit : 300
% 0.07/0.25 % WCLimit : 300
% 0.07/0.25 % DateTime : Tue May 30 10:56:17 EDT 2023
% 0.07/0.25 % CPUTime :
% 0.07/0.26 % Drodi V3.5.1
% 0.09/0.34 % Refutation found
% 0.09/0.34 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.34 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.09/0.35 % Elapsed time: 0.092688 seconds
% 0.09/0.35 % CPU time: 0.323288 seconds
% 0.09/0.35 % Memory used: 6.789 MB
%------------------------------------------------------------------------------