TSTP Solution File: GRP687-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP687-1 : TPTP v8.1.2. Released v4.0.0.
% 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 12:12:33 EDT 2023
% Result : Unsatisfiable 9.07s 1.54s
% Output : CNFRefutation 9.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 7
% Syntax : Number of formulae : 59 ( 59 unt; 0 def)
% Number of atoms : 59 ( 58 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 124 (; 124 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B] : mult(A,ld(A,B)) = B,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
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(f7,axiom,
! [A,B,C] : mult(mult(A,A),mult(B,C)) = mult(mult(A,mult(A,B)),C),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
mult(a,mult(b,mult(b,c))) != mult(mult(a,mult(b,b)),c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,plain,
! [X0,X1] : mult(X0,ld(X0,X1)) = X1,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f10,plain,
! [X0,X1] : ld(X0,mult(X0,X1)) = X1,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f11,plain,
! [X0,X1] : mult(rd(X0,X1),X1) = X0,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f12,plain,
! [X0,X1] : rd(mult(X0,X1),X1) = X0,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f13,plain,
! [X0] : mult(X0,unit) = X0,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f15,plain,
! [X0,X1,X2] : mult(mult(X0,X0),mult(X1,X2)) = mult(mult(X0,mult(X0,X1)),X2),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f16,plain,
mult(a,mult(b,mult(b,c))) != mult(mult(a,mult(b,b)),c),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f23,plain,
! [X0,X1] : ld(rd(X0,X1),X0) = X1,
inference(paramodulation,[status(thm)],[f11,f10]) ).
fof(f25,plain,
! [X0] : ld(X0,X0) = unit,
inference(paramodulation,[status(thm)],[f13,f10]) ).
fof(f30,plain,
! [X0,X1] : rd(X0,ld(X1,X0)) = X1,
inference(paramodulation,[status(thm)],[f9,f12]) ).
fof(f40,plain,
! [X0,X1] : mult(mult(X0,X0),mult(X1,unit)) = mult(X0,mult(X0,X1)),
inference(paramodulation,[status(thm)],[f13,f15]) ).
fof(f41,plain,
! [X0,X1] : mult(mult(X0,X0),X1) = mult(X0,mult(X0,X1)),
inference(forward_demodulation,[status(thm)],[f13,f40]) ).
fof(f74,plain,
! [X0,X1,X2] : mult(mult(X0,X0),mult(ld(X0,X1),X2)) = mult(mult(X0,X1),X2),
inference(paramodulation,[status(thm)],[f9,f15]) ).
fof(f75,plain,
! [X0,X1,X2] : mult(X0,mult(X0,mult(ld(X0,X1),X2))) = mult(mult(X0,X1),X2),
inference(forward_demodulation,[status(thm)],[f41,f74]) ).
fof(f89,plain,
! [X0,X1] : X0 = mult(X1,mult(X1,ld(mult(X1,X1),X0))),
inference(paramodulation,[status(thm)],[f9,f41]) ).
fof(f133,plain,
! [X0,X1] : ld(X0,X1) = mult(X0,ld(mult(X0,X0),X1)),
inference(paramodulation,[status(thm)],[f89,f10]) ).
fof(f159,plain,
! [X0,X1] : ld(X0,ld(X0,X1)) = ld(mult(X0,X0),X1),
inference(paramodulation,[status(thm)],[f133,f10]) ).
fof(f185,plain,
! [X0,X1] : rd(X0,ld(X1,ld(X1,X0))) = mult(X1,X1),
inference(paramodulation,[status(thm)],[f159,f30]) ).
fof(f202,plain,
! [X0,X1] : rd(mult(X0,X1),ld(X0,X1)) = mult(X0,X0),
inference(paramodulation,[status(thm)],[f10,f185]) ).
fof(f956,plain,
! [X0,X1,X2] : mult(X0,mult(X0,X1)) = mult(mult(X0,X2),ld(ld(X0,X2),X1)),
inference(paramodulation,[status(thm)],[f9,f75]) ).
fof(f991,plain,
! [X0,X1,X2] : rd(mult(mult(X0,X1),X2),ld(X0,mult(X0,mult(ld(X0,X1),X2)))) = mult(X0,X0),
inference(paramodulation,[status(thm)],[f75,f202]) ).
fof(f992,plain,
! [X0,X1,X2] : rd(mult(mult(X0,X1),X2),mult(ld(X0,X1),X2)) = mult(X0,X0),
inference(forward_demodulation,[status(thm)],[f10,f991]) ).
fof(f1012,plain,
! [X0,X1,X2] : rd(X0,mult(ld(X1,X2),ld(mult(X1,X2),X0))) = mult(X1,X1),
inference(paramodulation,[status(thm)],[f9,f992]) ).
fof(f1035,plain,
! [X0,X1] : rd(mult(X0,X1),mult(ld(X0,unit),X1)) = mult(X0,X0),
inference(paramodulation,[status(thm)],[f13,f992]) ).
fof(f1179,plain,
! [X0,X1,X2] : ld(mult(X0,X0),X1) = mult(ld(X0,X2),ld(mult(X0,X2),X1)),
inference(paramodulation,[status(thm)],[f1012,f23]) ).
fof(f1180,plain,
! [X0,X1,X2] : ld(X0,ld(X0,X1)) = mult(ld(X0,X2),ld(mult(X0,X2),X1)),
inference(forward_demodulation,[status(thm)],[f159,f1179]) ).
fof(f1251,plain,
! [X0,X1] : ld(mult(X0,X0),mult(X0,X1)) = mult(ld(X0,unit),X1),
inference(paramodulation,[status(thm)],[f1035,f23]) ).
fof(f1252,plain,
! [X0,X1] : ld(X0,ld(X0,mult(X0,X1))) = mult(ld(X0,unit),X1),
inference(forward_demodulation,[status(thm)],[f159,f1251]) ).
fof(f1253,plain,
! [X0,X1] : ld(X0,X1) = mult(ld(X0,unit),X1),
inference(forward_demodulation,[status(thm)],[f10,f1252]) ).
fof(f1371,plain,
! [X0,X1] : ld(rd(unit,X0),X1) = mult(X0,X1),
inference(paramodulation,[status(thm)],[f23,f1253]) ).
fof(f1396,plain,
! [X0,X1] : rd(ld(X0,X1),X1) = ld(X0,unit),
inference(paramodulation,[status(thm)],[f1253,f12]) ).
fof(f1410,plain,
! [X0,X1] : rd(X0,X1) = ld(rd(X1,X0),unit),
inference(paramodulation,[status(thm)],[f23,f1396]) ).
fof(f1414,plain,
! [X0] : rd(unit,X0) = ld(X0,unit),
inference(paramodulation,[status(thm)],[f25,f1396]) ).
fof(f1456,plain,
! [X0,X1] : ld(ld(X0,unit),X1) = mult(X0,X1),
inference(backward_demodulation,[status(thm)],[f1414,f1371]) ).
fof(f1811,plain,
! [X0,X1,X2] : ld(rd(X0,X1),X2) = mult(rd(X1,X0),X2),
inference(paramodulation,[status(thm)],[f1410,f1456]) ).
fof(f3784,plain,
! [X0,X1,X2] : mult(X0,mult(X0,X1)) = mult(X2,ld(ld(X0,ld(X0,X2)),X1)),
inference(paramodulation,[status(thm)],[f9,f956]) ).
fof(f4080,plain,
! [X0,X1,X2] : rd(ld(X0,ld(X0,X1)),ld(mult(X0,X2),X1)) = ld(X0,X2),
inference(paramodulation,[status(thm)],[f1180,f12]) ).
fof(f5181,plain,
! [X0,X1,X2] : ld(X0,mult(X1,mult(X1,X2))) = ld(ld(X1,ld(X1,X0)),X2),
inference(paramodulation,[status(thm)],[f3784,f10]) ).
fof(f5413,plain,
! [X0,X1] : rd(ld(X0,unit),ld(mult(X0,X1),X0)) = ld(X0,X1),
inference(paramodulation,[status(thm)],[f25,f4080]) ).
fof(f5544,plain,
! [X0,X1] : rd(ld(X0,unit),ld(X1,X0)) = ld(X0,ld(X0,X1)),
inference(paramodulation,[status(thm)],[f9,f5413]) ).
fof(f6856,plain,
! [X0,X1] : rd(ld(X0,unit),mult(X1,X0)) = ld(X0,ld(X0,ld(X1,unit))),
inference(paramodulation,[status(thm)],[f1456,f5544]) ).
fof(f6917,plain,
! [X0,X1] : rd(ld(X0,X1),ld(X1,unit)) = ld(ld(X1,ld(X1,X0)),unit),
inference(paramodulation,[status(thm)],[f5544,f1410]) ).
fof(f6918,plain,
! [X0,X1] : rd(ld(X0,X1),ld(X1,unit)) = ld(X0,mult(X1,mult(X1,unit))),
inference(forward_demodulation,[status(thm)],[f5181,f6917]) ).
fof(f6919,plain,
! [X0,X1] : rd(ld(X0,X1),ld(X1,unit)) = ld(X0,mult(X1,X1)),
inference(forward_demodulation,[status(thm)],[f13,f6918]) ).
fof(f7063,plain,
! [X0,X1] : rd(mult(X0,X1),ld(X1,unit)) = ld(ld(X0,unit),mult(X1,X1)),
inference(paramodulation,[status(thm)],[f1456,f6919]) ).
fof(f7064,plain,
! [X0,X1] : rd(mult(X0,X1),ld(X1,unit)) = mult(X0,mult(X1,X1)),
inference(forward_demodulation,[status(thm)],[f1456,f7063]) ).
fof(f7245,plain,
! [X0,X1,X2] : ld(rd(ld(X0,unit),mult(X1,X0)),X2) = mult(mult(X1,mult(X0,X0)),X2),
inference(paramodulation,[status(thm)],[f7064,f1811]) ).
fof(f7246,plain,
! [X0,X1,X2] : ld(ld(X0,ld(X0,ld(X1,unit))),X2) = mult(mult(X1,mult(X0,X0)),X2),
inference(forward_demodulation,[status(thm)],[f6856,f7245]) ).
fof(f7247,plain,
! [X0,X1,X2] : ld(ld(X0,unit),mult(X1,mult(X1,X2))) = mult(mult(X0,mult(X1,X1)),X2),
inference(forward_demodulation,[status(thm)],[f5181,f7246]) ).
fof(f7248,plain,
! [X0,X1,X2] : mult(X0,mult(X1,mult(X1,X2))) = mult(mult(X0,mult(X1,X1)),X2),
inference(forward_demodulation,[status(thm)],[f1456,f7247]) ).
fof(f7255,plain,
mult(a,mult(b,mult(b,c))) != mult(a,mult(b,mult(b,c))),
inference(backward_demodulation,[status(thm)],[f7248,f16]) ).
fof(f7256,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f7255]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GRP687-1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.31 % Computer : n031.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Tue May 30 11:52:07 EDT 2023
% 0.11/0.31 % CPUTime :
% 0.17/0.32 % Drodi V3.5.1
% 9.07/1.54 % Refutation found
% 9.07/1.54 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 9.07/1.54 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 9.17/1.59 % Elapsed time: 1.265913 seconds
% 9.17/1.59 % CPU time: 9.390520 seconds
% 9.17/1.59 % Memory used: 164.935 MB
%------------------------------------------------------------------------------