TSTP Solution File: GRP657-10 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP657-10 : TPTP v8.1.2. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n013.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 12:12:28 EDT 2023
% Result : Unsatisfiable 0.11s 0.38s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 21 ( 21 unt; 0 def)
% Number of atoms : 21 ( 20 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 0 con; 1-2 aty)
% Number of variables : 41 (; 41 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [A,B] : ld(A,mult(A,B)) = B,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A,B] : mult(rd(A,B),B) = A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A,B] : rd(mult(A,B),B) = A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [A,B,C] : mult(mult(A,B),mult(C,A)) = mult(A,mult(mult(B,C),A)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
! [X0] : tuple(mult(X0,x1(X0)),mult(x1_2(X0),X0)) != tuple(x1(X0),x1_2(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,plain,
! [X0,X1] : ld(X0,mult(X0,X1)) = X1,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f9,plain,
! [X0,X1] : mult(rd(X0,X1),X1) = X0,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f10,plain,
! [X0,X1] : rd(mult(X0,X1),X1) = X0,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f11,plain,
! [X0,X1,X2] : mult(mult(X0,X1),mult(X2,X0)) = mult(X0,mult(mult(X1,X2),X0)),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f12,plain,
! [X0] : tuple(mult(X0,x1(X0)),mult(x1_2(X0),X0)) != tuple(x1(X0),x1_2(X0)),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f21,plain,
! [X0,X1,X2] : mult(mult(X0,X1),X2) = mult(X0,mult(mult(X1,rd(X2,X0)),X0)),
inference(paramodulation,[status(thm)],[f9,f11]) ).
fof(f28,plain,
! [X0,X1,X2] : mult(mult(X0,rd(X1,rd(X2,X0))),X2) = mult(X0,mult(X1,X0)),
inference(paramodulation,[status(thm)],[f9,f21]) ).
fof(f52,plain,
! [X0,X1,X2] : rd(mult(X0,mult(X1,X0)),X2) = mult(X0,rd(X1,rd(X2,X0))),
inference(paramodulation,[status(thm)],[f28,f10]) ).
fof(f111,plain,
! [X0,X1] : X0 = mult(X0,rd(X1,rd(mult(X1,X0),X0))),
inference(paramodulation,[status(thm)],[f10,f52]) ).
fof(f112,plain,
! [X0,X1] : X0 = mult(X0,rd(X1,X1)),
inference(forward_demodulation,[status(thm)],[f10,f111]) ).
fof(f138,plain,
! [X0] : tuple(mult(rd(X0,X0),x1(rd(X0,X0))),x1_2(rd(X0,X0))) != tuple(x1(rd(X0,X0)),x1_2(rd(X0,X0))),
inference(paramodulation,[status(thm)],[f112,f12]) ).
fof(f156,plain,
! [X0,X1] : ld(X0,X0) = rd(X1,X1),
inference(paramodulation,[status(thm)],[f112,f8]) ).
fof(f165,plain,
! [X0,X1] : rd(X0,X0) = rd(X1,X1),
inference(paramodulation,[status(thm)],[f156,f156]) ).
fof(f216,plain,
! [X0,X1] : mult(rd(X0,X0),X1) = X1,
inference(paramodulation,[status(thm)],[f165,f9]) ).
fof(f230,plain,
! [X0] : tuple(x1(rd(X0,X0)),x1_2(rd(X0,X0))) != tuple(x1(rd(X0,X0)),x1_2(rd(X0,X0))),
inference(backward_demodulation,[status(thm)],[f216,f138]) ).
fof(f231,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f230]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GRP657-10 : TPTP v8.1.2. Released v8.1.0.
% 0.11/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.32 % Computer : n013.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue May 30 11:29:20 EDT 2023
% 0.11/0.33 % CPUTime :
% 0.11/0.33 % Drodi V3.5.1
% 0.11/0.38 % Refutation found
% 0.11/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.11/0.40 % Elapsed time: 0.069456 seconds
% 0.11/0.40 % CPU time: 0.191927 seconds
% 0.11/0.40 % Memory used: 6.957 MB
%------------------------------------------------------------------------------