TSTP Solution File: GRP687-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% 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 : n027.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 20:21:25 EDT 2024
% Result : Unsatisfiable 0.20s 0.53s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 7
% Syntax : Number of formulae : 48 ( 48 unt; 0 def)
% Number of atoms : 48 ( 47 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 : 97 ( 97 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B] : mult(A,ld(A,B)) = B,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B] : ld(A,mult(A,B)) = B,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A,B] : mult(rd(A,B),B) = A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A,B] : rd(mult(A,B),B) = A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [A] : mult(A,unit) = A,
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
mult(a,mult(b,mult(b,c))) != mult(mult(a,mult(b,b)),c),
file('/export/starexec/sandbox/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(f25,plain,
! [X0] : ld(X0,X0) = unit,
inference(paramodulation,[status(thm)],[f13,f10]) ).
fof(f33,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(f82,plain,
! [X0,X1,X2] : rd(mult(mult(X0,X0),mult(X1,X2)),X2) = mult(X0,mult(X0,X1)),
inference(paramodulation,[status(thm)],[f15,f12]) ).
fof(f83,plain,
! [X0,X1,X2] : rd(mult(X0,mult(X0,mult(X1,X2))),X2) = mult(X0,mult(X0,X1)),
inference(forward_demodulation,[status(thm)],[f41,f82]) ).
fof(f84,plain,
! [X0,X1,X2] : ld(mult(X0,mult(X0,X1)),mult(mult(X0,X0),mult(X1,X2))) = X2,
inference(paramodulation,[status(thm)],[f15,f10]) ).
fof(f85,plain,
! [X0,X1,X2] : ld(mult(X0,mult(X0,X1)),mult(X0,mult(X0,mult(X1,X2)))) = X2,
inference(forward_demodulation,[status(thm)],[f41,f84]) ).
fof(f257,plain,
! [X0,X1,X2] : rd(mult(X0,mult(X0,X1)),X2) = mult(X0,mult(X0,rd(X1,X2))),
inference(paramodulation,[status(thm)],[f11,f83]) ).
fof(f279,plain,
! [X0,X1] : X0 = mult(X0,mult(X0,rd(X1,mult(X0,X1)))),
inference(paramodulation,[status(thm)],[f12,f257]) ).
fof(f301,plain,
! [X0,X1] : rd(mult(X0,X0),X1) = mult(X0,mult(X0,rd(unit,X1))),
inference(paramodulation,[status(thm)],[f13,f257]) ).
fof(f354,plain,
! [X0,X1] : ld(X0,X0) = mult(X0,rd(X1,mult(X0,X1))),
inference(paramodulation,[status(thm)],[f279,f10]) ).
fof(f355,plain,
! [X0,X1] : unit = mult(X0,rd(X1,mult(X0,X1))),
inference(forward_demodulation,[status(thm)],[f25,f354]) ).
fof(f373,plain,
! [X0] : unit = mult(X0,rd(unit,X0)),
inference(paramodulation,[status(thm)],[f13,f355]) ).
fof(f518,plain,
! [X0] : unit = mult(ld(X0,unit),X0),
inference(paramodulation,[status(thm)],[f33,f373]) ).
fof(f527,plain,
! [X0] : ld(X0,unit) = rd(unit,X0),
inference(paramodulation,[status(thm)],[f373,f10]) ).
fof(f532,plain,
! [X0,X1] : rd(mult(X0,X0),X1) = mult(X0,mult(X0,ld(X1,unit))),
inference(backward_demodulation,[status(thm)],[f527,f301]) ).
fof(f545,plain,
! [X0] : ld(ld(X0,unit),unit) = X0,
inference(paramodulation,[status(thm)],[f518,f10]) ).
fof(f1074,plain,
! [X0,X1,X2] : ld(X0,mult(mult(X0,X1),X2)) = mult(X0,mult(ld(X0,X1),X2)),
inference(paramodulation,[status(thm)],[f75,f10]) ).
fof(f1129,plain,
! [X0,X1] : ld(ld(X0,unit),mult(mult(ld(X0,unit),unit),X1)) = mult(ld(X0,unit),mult(X0,X1)),
inference(paramodulation,[status(thm)],[f545,f1074]) ).
fof(f1130,plain,
! [X0,X1] : ld(ld(X0,unit),mult(ld(X0,unit),X1)) = mult(ld(X0,unit),mult(X0,X1)),
inference(forward_demodulation,[status(thm)],[f13,f1129]) ).
fof(f1131,plain,
! [X0,X1] : X0 = mult(ld(X1,unit),mult(X1,X0)),
inference(forward_demodulation,[status(thm)],[f10,f1130]) ).
fof(f1184,plain,
! [X0,X1] : ld(X0,X1) = mult(ld(X0,unit),X1),
inference(paramodulation,[status(thm)],[f9,f1131]) ).
fof(f1194,plain,
! [X0,X1] : ld(ld(X0,unit),X1) = mult(X0,X1),
inference(paramodulation,[status(thm)],[f1131,f10]) ).
fof(f1312,plain,
! [X0,X1,X2] : ld(rd(mult(X0,X0),X1),mult(X0,mult(X0,mult(ld(X1,unit),X2)))) = X2,
inference(paramodulation,[status(thm)],[f532,f85]) ).
fof(f1313,plain,
! [X0,X1,X2] : ld(rd(mult(X0,X0),X1),mult(X0,mult(X0,ld(X1,X2)))) = X2,
inference(forward_demodulation,[status(thm)],[f1184,f1312]) ).
fof(f1660,plain,
! [X0,X1,X2] : ld(rd(mult(X0,X0),X1),mult(X0,mult(X0,X2))) = mult(X1,X2),
inference(paramodulation,[status(thm)],[f10,f1313]) ).
fof(f1677,plain,
! [X0,X1,X2] : ld(X0,mult(X1,mult(X1,X2))) = mult(ld(X0,mult(X1,X1)),X2),
inference(paramodulation,[status(thm)],[f33,f1660]) ).
fof(f1974,plain,
! [X0,X1,X2] : ld(ld(X0,unit),mult(X1,mult(X1,X2))) = mult(mult(X0,mult(X1,X1)),X2),
inference(paramodulation,[status(thm)],[f1194,f1677]) ).
fof(f1975,plain,
! [X0,X1,X2] : mult(X0,mult(X1,mult(X1,X2))) = mult(mult(X0,mult(X1,X1)),X2),
inference(forward_demodulation,[status(thm)],[f1194,f1974]) ).
fof(f2049,plain,
mult(a,mult(b,mult(b,c))) != mult(a,mult(b,mult(b,c))),
inference(backward_demodulation,[status(thm)],[f1975,f16]) ).
fof(f2050,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f2049]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GRP687-1 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n027.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 00:47:17 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Drodi V3.6.0
% 0.20/0.53 % Refutation found
% 0.20/0.53 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.53 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.54/0.58 % Elapsed time: 0.218372 seconds
% 1.54/0.58 % CPU time: 1.506360 seconds
% 1.54/0.58 % Total memory used: 57.780 MB
% 1.54/0.58 % Net memory used: 56.659 MB
%------------------------------------------------------------------------------