TSTP Solution File: GRP700-10 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP700-10 : TPTP v8.1.2. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n016.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 : Tue Apr 30 20:21:26 EDT 2024
% Result : Unsatisfiable 0.13s 0.39s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 7
% Syntax : Number of formulae : 26 ( 26 unt; 0 def)
% Number of atoms : 26 ( 25 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; 2 con; 0-2 aty)
% Number of variables : 40 ( 40 !; 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] : mult(A,unit) = A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [A] : mult(unit,A) = A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [A,B,C] : mult(mult(A,B),mult(B,mult(C,B))) = mult(mult(A,mult(B,mult(B,C))),B),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
! [X1] : tuple(mult(X1,x0),mult(x0,X1)) != tuple(unit,unit),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,plain,
! [X0,X1] : ld(X0,mult(X0,X1)) = X1,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f12,plain,
! [X0,X1] : mult(rd(X0,X1),X1) = X0,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f13,plain,
! [X0,X1] : rd(mult(X0,X1),X1) = X0,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f14,plain,
! [X0] : mult(X0,unit) = X0,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f15,plain,
! [X0] : mult(unit,X0) = X0,
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f17,plain,
! [X0,X1,X2] : mult(mult(X0,X1),mult(X1,mult(X2,X1))) = mult(mult(X0,mult(X1,mult(X1,X2))),X1),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f18,plain,
! [X0] : tuple(mult(X0,x0),mult(x0,X0)) != tuple(unit,unit),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f27,plain,
! [X0] : ld(X0,X0) = unit,
inference(paramodulation,[status(thm)],[f14,f11]) ).
fof(f69,plain,
! [X0] : tuple(X0,mult(x0,rd(X0,x0))) != tuple(unit,unit),
inference(paramodulation,[status(thm)],[f12,f18]) ).
fof(f125,plain,
! [X0,X1,X2] : rd(mult(mult(X0,X1),mult(X1,mult(X2,X1))),X1) = mult(X0,mult(X1,mult(X1,X2))),
inference(paramodulation,[status(thm)],[f17,f13]) ).
fof(f155,plain,
! [X0,X1,X2] : rd(mult(mult(X0,X1),mult(X1,X2)),X1) = mult(X0,mult(X1,mult(X1,rd(X2,X1)))),
inference(paramodulation,[status(thm)],[f12,f125]) ).
fof(f187,plain,
! [X0,X1] : rd(mult(X0,mult(X0,X1)),X0) = mult(unit,mult(X0,mult(X0,rd(X1,X0)))),
inference(paramodulation,[status(thm)],[f15,f155]) ).
fof(f188,plain,
! [X0,X1] : rd(mult(X0,mult(X0,X1)),X0) = mult(X0,mult(X0,rd(X1,X0))),
inference(forward_demodulation,[status(thm)],[f15,f187]) ).
fof(f239,plain,
! [X0] : rd(mult(X0,X0),X0) = mult(X0,mult(X0,rd(unit,X0))),
inference(paramodulation,[status(thm)],[f14,f188]) ).
fof(f240,plain,
! [X0] : X0 = mult(X0,mult(X0,rd(unit,X0))),
inference(forward_demodulation,[status(thm)],[f13,f239]) ).
fof(f283,plain,
! [X0] : ld(X0,X0) = mult(X0,rd(unit,X0)),
inference(paramodulation,[status(thm)],[f240,f11]) ).
fof(f284,plain,
! [X0] : unit = mult(X0,rd(unit,X0)),
inference(forward_demodulation,[status(thm)],[f27,f283]) ).
fof(f296,plain,
tuple(unit,unit) != tuple(unit,unit),
inference(paramodulation,[status(thm)],[f284,f69]) ).
fof(f297,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f296]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP700-10 : TPTP v8.1.2. Released v8.1.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n016.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 Apr 30 01:05:25 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.6.0
% 0.13/0.39 % Refutation found
% 0.13/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.41 % Elapsed time: 0.051895 seconds
% 0.20/0.41 % CPU time: 0.336682 seconds
% 0.20/0.41 % Total memory used: 20.134 MB
% 0.20/0.41 % Net memory used: 19.941 MB
%------------------------------------------------------------------------------