TSTP Solution File: GRP660-13 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP660-13 : TPTP v8.1.2. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n009.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 12:12:29 EDT 2023
% Result : Unsatisfiable 15.47s 2.36s
% Output : CNFRefutation 15.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 48
% Number of leaves : 6
% Syntax : Number of formulae : 84 ( 84 unt; 0 def)
% Number of atoms : 84 ( 83 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 : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 163 (; 163 !; 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,B,C] : mult(mult(mult(A,B),C),A) = mult(A,mult(B,mult(C,A))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
mult(x0,ld(x1,x1)) != x0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,plain,
! [X0,X1] : mult(X0,ld(X0,X1)) = X1,
inference(cnf_transformation,[status(esa)],[f1]) ).
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(mult(X0,X1),X2),X0) = mult(X0,mult(X1,mult(X2,X0))),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f12,plain,
mult(x0,ld(x1,x1)) != x0,
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f13,plain,
! [X0,X1,X2] : mult(mult(X0,mult(X1,mult(X2,X0))),mult(X0,X1)) = mult(mult(X0,X1),mult(X2,mult(X0,mult(X0,X1)))),
inference(paramodulation,[status(thm)],[f11,f11]) ).
fof(f14,plain,
! [X0,X1,X2] : mult(X0,X1) = mult(X1,mult(X2,mult(ld(mult(X1,X2),X0),X1))),
inference(paramodulation,[status(thm)],[f7,f11]) ).
fof(f16,plain,
! [X0,X1,X2] : mult(mult(X0,X1),X2) = mult(X2,mult(ld(X2,X0),mult(X1,X2))),
inference(paramodulation,[status(thm)],[f7,f11]) ).
fof(f24,plain,
! [X0,X1,X2] : ld(X0,mult(X1,X0)) = mult(X2,mult(ld(mult(X0,X2),X1),X0)),
inference(paramodulation,[status(thm)],[f14,f8]) ).
fof(f49,plain,
! [X0,X1,X2] : ld(mult(X0,mult(X1,mult(X2,X0))),mult(mult(X0,X1),mult(X2,mult(X0,mult(X0,X1))))) = mult(X0,X1),
inference(paramodulation,[status(thm)],[f13,f8]) ).
fof(f72,plain,
! [X0,X1,X2] : ld(X0,mult(mult(X1,X2),X0)) = mult(ld(X0,X1),mult(X2,X0)),
inference(paramodulation,[status(thm)],[f16,f8]) ).
fof(f132,plain,
! [X0,X1,X2] : ld(X0,ld(X1,mult(X2,X1))) = mult(ld(mult(X1,X0),X2),X1),
inference(paramodulation,[status(thm)],[f24,f8]) ).
fof(f175,plain,
! [X0,X1,X2] : ld(ld(X0,X1),ld(X0,mult(X2,X0))) = mult(ld(X1,X2),X0),
inference(paramodulation,[status(thm)],[f7,f132]) ).
fof(f210,plain,
! [X0,X1] : ld(ld(X0,X1),X0) = mult(ld(X1,X0),X0),
inference(paramodulation,[status(thm)],[f8,f175]) ).
fof(f217,plain,
! [X0,X1,X2] : ld(ld(ld(X0,X1),X2),ld(ld(X0,X1),X1)) = mult(ld(X2,X0),ld(X0,X1)),
inference(paramodulation,[status(thm)],[f7,f175]) ).
fof(f242,plain,
! [X0,X1] : ld(ld(X0,X1),ld(ld(X1,X0),X1)) = X1,
inference(paramodulation,[status(thm)],[f210,f8]) ).
fof(f325,plain,
! [X0,X1,X2] : ld(ld(X0,X1),ld(X0,X2)) = mult(ld(X1,rd(X2,X0)),X0),
inference(paramodulation,[status(thm)],[f9,f175]) ).
fof(f327,plain,
! [X0,X1,X2] : ld(X0,mult(mult(X1,rd(X2,X0)),X0)) = mult(ld(X0,X1),X2),
inference(paramodulation,[status(thm)],[f9,f72]) ).
fof(f335,plain,
! [X0,X1] : ld(rd(X0,X1),X0) = X1,
inference(paramodulation,[status(thm)],[f9,f8]) ).
fof(f338,plain,
! [X0,X1] : rd(ld(ld(X0,X1),X0),X0) = ld(X1,X0),
inference(paramodulation,[status(thm)],[f210,f10]) ).
fof(f340,plain,
! [X0,X1,X2] : rd(mult(X0,mult(X1,mult(X2,X0))),X0) = mult(mult(X0,X1),X2),
inference(paramodulation,[status(thm)],[f11,f10]) ).
fof(f342,plain,
! [X0,X1] : rd(X0,ld(X1,X0)) = X1,
inference(paramodulation,[status(thm)],[f7,f10]) ).
fof(f344,plain,
! [X0,X1] : ld(ld(X0,rd(X0,X1)),X0) = mult(X1,X0),
inference(paramodulation,[status(thm)],[f335,f210]) ).
fof(f357,plain,
! [X0,X1] : ld(ld(X0,rd(X0,X1)),ld(X1,rd(X0,X1))) = rd(X0,X1),
inference(paramodulation,[status(thm)],[f335,f242]) ).
fof(f371,plain,
! [X0,X1] : rd(ld(X0,X1),X1) = ld(mult(X1,X0),X1),
inference(paramodulation,[status(thm)],[f8,f338]) ).
fof(f384,plain,
! [X0,X1] : rd(X0,mult(X1,X0)) = ld(X0,rd(X0,X1)),
inference(paramodulation,[status(thm)],[f344,f342]) ).
fof(f419,plain,
! [X0,X1] : rd(X0,X1) = ld(mult(X1,rd(X1,X0)),X1),
inference(paramodulation,[status(thm)],[f335,f371]) ).
fof(f429,plain,
! [X0,X1] : rd(X0,mult(X1,X0)) = ld(mult(mult(X1,X0),X1),mult(X1,X0)),
inference(paramodulation,[status(thm)],[f8,f371]) ).
fof(f558,plain,
! [X0,X1,X2] : rd(mult(X0,X1),X0) = mult(mult(X0,rd(X1,mult(X2,X0))),X2),
inference(paramodulation,[status(thm)],[f9,f340]) ).
fof(f624,plain,
! [X0,X1,X2] : ld(ld(X0,rd(X1,X2)),ld(ld(X2,X0),ld(X2,X1))) = X2,
inference(paramodulation,[status(thm)],[f325,f8]) ).
fof(f652,plain,
! [X0,X1,X2] : mult(X0,mult(ld(X0,X1),X2)) = mult(mult(X1,rd(X2,X0)),X0),
inference(paramodulation,[status(thm)],[f327,f7]) ).
fof(f811,plain,
! [X0,X1] : ld(X0,rd(X0,X1)) = ld(mult(mult(X1,X0),X1),mult(X1,X0)),
inference(forward_demodulation,[status(thm)],[f384,f429]) ).
fof(f871,plain,
! [X0,X1] : rd(mult(X0,X1),ld(X1,rd(X1,X0))) = mult(mult(X0,X1),X0),
inference(paramodulation,[status(thm)],[f811,f342]) ).
fof(f1005,plain,
! [X0] : ld(ld(rd(X0,X0),rd(rd(X0,X0),X0)),rd(X0,X0)) = X0,
inference(paramodulation,[status(thm)],[f357,f624]) ).
fof(f1006,plain,
! [X0] : mult(X0,rd(X0,X0)) = X0,
inference(forward_demodulation,[status(thm)],[f344,f1005]) ).
fof(f1055,plain,
! [X0] : ld(X0,mult(X0,X0)) = mult(ld(X0,X0),X0),
inference(paramodulation,[status(thm)],[f1006,f327]) ).
fof(f1056,plain,
! [X0] : X0 = mult(ld(X0,X0),X0),
inference(forward_demodulation,[status(thm)],[f8,f1055]) ).
fof(f1057,plain,
! [X0] : X0 = ld(ld(X0,X0),X0),
inference(forward_demodulation,[status(thm)],[f210,f1056]) ).
fof(f1059,plain,
! [X0] : rd(X0,X0) = ld(X0,X0),
inference(paramodulation,[status(thm)],[f1006,f419]) ).
fof(f1092,plain,
! [X0,X1] : ld(ld(X0,ld(rd(X1,X0),rd(X1,X0))),ld(X0,X1)) = mult(rd(X1,X0),X0),
inference(paramodulation,[status(thm)],[f1057,f325]) ).
fof(f1093,plain,
! [X0,X1] : ld(ld(X0,ld(rd(X1,X0),rd(X1,X0))),ld(X0,X1)) = X1,
inference(forward_demodulation,[status(thm)],[f9,f1092]) ).
fof(f2169,plain,
! [X0] : ld(ld(ld(X0,X0),ld(rd(X0,ld(X0,X0)),rd(X0,ld(X0,X0)))),X0) = X0,
inference(paramodulation,[status(thm)],[f1057,f1093]) ).
fof(f2170,plain,
! [X0] : ld(ld(ld(X0,X0),ld(X0,rd(X0,ld(X0,X0)))),X0) = X0,
inference(forward_demodulation,[status(thm)],[f342,f2169]) ).
fof(f2171,plain,
! [X0] : ld(ld(ld(X0,X0),ld(X0,X0)),X0) = X0,
inference(forward_demodulation,[status(thm)],[f342,f2170]) ).
fof(f2233,plain,
! [X0] : rd(X0,X0) = ld(ld(X0,X0),ld(X0,X0)),
inference(paramodulation,[status(thm)],[f2171,f342]) ).
fof(f2234,plain,
! [X0] : ld(X0,X0) = ld(ld(X0,X0),ld(X0,X0)),
inference(forward_demodulation,[status(thm)],[f1059,f2233]) ).
fof(f2468,plain,
! [X0] : ld(ld(ld(X0,X0),ld(X0,X0)),ld(X0,X0)) = mult(ld(X0,X0),ld(X0,X0)),
inference(paramodulation,[status(thm)],[f2234,f210]) ).
fof(f2469,plain,
! [X0] : ld(X0,X0) = mult(ld(X0,X0),ld(X0,X0)),
inference(forward_demodulation,[status(thm)],[f1057,f2468]) ).
fof(f2572,plain,
! [X0,X1] : rd(mult(ld(X0,X0),X1),ld(X0,X0)) = mult(mult(ld(X0,X0),rd(X1,ld(X0,X0))),ld(X0,X0)),
inference(paramodulation,[status(thm)],[f2469,f558]) ).
fof(f2573,plain,
! [X0,X1] : rd(mult(ld(X0,X0),X1),ld(X0,X0)) = mult(ld(X0,X0),mult(ld(ld(X0,X0),ld(X0,X0)),X1)),
inference(forward_demodulation,[status(thm)],[f652,f2572]) ).
fof(f2574,plain,
! [X0,X1] : rd(mult(ld(X0,X0),X1),ld(X0,X0)) = mult(ld(X0,X0),mult(ld(X0,X0),X1)),
inference(forward_demodulation,[status(thm)],[f2234,f2573]) ).
fof(f6308,plain,
! [X0,X1] : ld(ld(ld(X0,X0),X1),X0) = mult(ld(X1,X0),ld(X0,X0)),
inference(paramodulation,[status(thm)],[f1057,f217]) ).
fof(f9957,plain,
! [X0,X1] : rd(X0,ld(X1,X1)) = mult(ld(X1,X1),mult(ld(X1,X1),ld(ld(X1,X1),X0))),
inference(paramodulation,[status(thm)],[f7,f2574]) ).
fof(f9958,plain,
! [X0,X1] : rd(X0,ld(X1,X1)) = mult(ld(X1,X1),X0),
inference(forward_demodulation,[status(thm)],[f7,f9957]) ).
fof(f10140,plain,
! [X0,X1] : rd(mult(ld(X0,X0),X1),ld(X1,mult(ld(X0,X0),X1))) = mult(mult(ld(X0,X0),X1),ld(X0,X0)),
inference(paramodulation,[status(thm)],[f9958,f871]) ).
fof(f10141,plain,
! [X0,X1] : X0 = mult(mult(ld(X1,X1),X0),ld(X1,X1)),
inference(forward_demodulation,[status(thm)],[f342,f10140]) ).
fof(f10167,plain,
! [X0,X1] : rd(X0,mult(ld(X1,X1),ld(X1,X1))) = rd(mult(ld(X1,X1),X0),ld(X1,X1)),
inference(paramodulation,[status(thm)],[f558,f10141]) ).
fof(f10168,plain,
! [X0,X1] : rd(X0,ld(ld(ld(X1,X1),X1),X1)) = rd(mult(ld(X1,X1),X0),ld(X1,X1)),
inference(forward_demodulation,[status(thm)],[f6308,f10167]) ).
fof(f10169,plain,
! [X0,X1] : rd(X0,ld(X1,X1)) = rd(mult(ld(X1,X1),X0),ld(X1,X1)),
inference(forward_demodulation,[status(thm)],[f1057,f10168]) ).
fof(f10170,plain,
! [X0,X1] : mult(ld(X0,X0),X1) = rd(mult(ld(X0,X0),X1),ld(X0,X0)),
inference(forward_demodulation,[status(thm)],[f9958,f10169]) ).
fof(f10171,plain,
! [X0,X1] : mult(ld(X0,X0),X1) = mult(ld(X0,X0),mult(ld(X0,X0),X1)),
inference(forward_demodulation,[status(thm)],[f9958,f10170]) ).
fof(f10191,plain,
! [X0,X1] : ld(ld(X0,X0),X1) = mult(X1,ld(X0,X0)),
inference(paramodulation,[status(thm)],[f7,f10141]) ).
fof(f10535,plain,
ld(ld(x1,x1),x0) != x0,
inference(backward_demodulation,[status(thm)],[f10191,f12]) ).
fof(f11098,plain,
! [X0,X1] : ld(mult(ld(X0,X0),mult(X1,ld(X0,X0))),mult(mult(ld(X0,X0),ld(X0,X0)),mult(X1,mult(ld(X0,X0),mult(ld(X0,X0),ld(X0,X0)))))) = mult(ld(X0,X0),ld(X0,X0)),
inference(paramodulation,[status(thm)],[f10171,f49]) ).
fof(f11099,plain,
! [X0,X1] : ld(mult(ld(X0,X0),ld(ld(X0,X0),X1)),mult(mult(ld(X0,X0),ld(X0,X0)),mult(X1,mult(ld(X0,X0),mult(ld(X0,X0),ld(X0,X0)))))) = mult(ld(X0,X0),ld(X0,X0)),
inference(forward_demodulation,[status(thm)],[f10191,f11098]) ).
fof(f11100,plain,
! [X0,X1] : ld(X0,mult(mult(ld(X1,X1),ld(X1,X1)),mult(X0,mult(ld(X1,X1),mult(ld(X1,X1),ld(X1,X1)))))) = mult(ld(X1,X1),ld(X1,X1)),
inference(forward_demodulation,[status(thm)],[f7,f11099]) ).
fof(f11101,plain,
! [X0,X1] : ld(X0,mult(ld(ld(X1,X1),ld(X1,X1)),mult(X0,mult(ld(X1,X1),mult(ld(X1,X1),ld(X1,X1)))))) = mult(ld(X1,X1),ld(X1,X1)),
inference(forward_demodulation,[status(thm)],[f10191,f11100]) ).
fof(f11102,plain,
! [X0,X1] : ld(X0,mult(ld(X1,X1),mult(X0,mult(ld(X1,X1),mult(ld(X1,X1),ld(X1,X1)))))) = mult(ld(X1,X1),ld(X1,X1)),
inference(forward_demodulation,[status(thm)],[f2234,f11101]) ).
fof(f11103,plain,
! [X0,X1] : ld(X0,mult(ld(X1,X1),mult(X0,mult(ld(X1,X1),ld(X1,X1))))) = mult(ld(X1,X1),ld(X1,X1)),
inference(forward_demodulation,[status(thm)],[f10171,f11102]) ).
fof(f11104,plain,
! [X0,X1] : ld(X0,mult(ld(X1,X1),mult(X0,ld(ld(X1,X1),ld(X1,X1))))) = mult(ld(X1,X1),ld(X1,X1)),
inference(forward_demodulation,[status(thm)],[f10191,f11103]) ).
fof(f11105,plain,
! [X0,X1] : ld(X0,mult(ld(X1,X1),ld(ld(ld(X1,X1),ld(X1,X1)),X0))) = mult(ld(X1,X1),ld(X1,X1)),
inference(forward_demodulation,[status(thm)],[f10191,f11104]) ).
fof(f11106,plain,
! [X0,X1] : ld(X0,mult(ld(X1,X1),ld(ld(X1,X1),X0))) = mult(ld(X1,X1),ld(X1,X1)),
inference(forward_demodulation,[status(thm)],[f2234,f11105]) ).
fof(f11107,plain,
! [X0,X1] : ld(X0,X0) = mult(ld(X1,X1),ld(X1,X1)),
inference(forward_demodulation,[status(thm)],[f7,f11106]) ).
fof(f11108,plain,
! [X0,X1] : ld(X0,X0) = ld(ld(X1,X1),ld(X1,X1)),
inference(forward_demodulation,[status(thm)],[f10191,f11107]) ).
fof(f11109,plain,
! [X0,X1] : ld(X0,X0) = ld(X1,X1),
inference(forward_demodulation,[status(thm)],[f2234,f11108]) ).
fof(f12324,plain,
! [X0] : ld(ld(X0,X0),x0) != x0,
inference(paramodulation,[status(thm)],[f11109,f10535]) ).
fof(f12546,plain,
$false,
inference(resolution,[status(thm)],[f12324,f1057]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.09 % Problem : GRP660-13 : TPTP v8.1.2. Released v8.1.0.
% 0.04/0.09 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.29 % Computer : n009.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Tue May 30 11:23:46 EDT 2023
% 0.09/0.29 % CPUTime :
% 0.09/0.30 % Drodi V3.5.1
% 15.47/2.36 % Refutation found
% 15.47/2.36 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 15.47/2.36 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 16.10/2.48 % Elapsed time: 2.169535 seconds
% 16.10/2.48 % CPU time: 16.074490 seconds
% 16.10/2.48 % Memory used: 315.655 MB
%------------------------------------------------------------------------------