TSTP Solution File: GRP660-11 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP660-11 : TPTP v8.1.2. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n001.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 36.95s 5.17s
% Output : CNFRefutation 38.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 43
% Number of leaves : 6
% Syntax : Number of formulae : 103 ( 103 unt; 0 def)
% Number of atoms : 103 ( 102 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 : 8 ( 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 : 196 (; 196 !; 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,B,C] : mult(mult(mult(A,B),C),A) = mult(A,mult(B,mult(C,A))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
mult(x0,rd(x1,x1)) != x0,
file('/export/starexec/sandbox2/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,rd(x1,x1)) != x0,
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f13,plain,
! [X0,X1] : ld(rd(X0,X1),X0) = X1,
inference(paramodulation,[status(thm)],[f9,f8]) ).
fof(f14,plain,
! [X0,X1] : rd(X0,ld(X1,X0)) = X1,
inference(paramodulation,[status(thm)],[f7,f10]) ).
fof(f18,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(f21,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(f22,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(f36,plain,
! [X0,X1,X2] : ld(X0,mult(X1,X0)) = mult(X2,mult(ld(mult(X0,X2),X1),X0)),
inference(paramodulation,[status(thm)],[f18,f8]) ).
fof(f51,plain,
! [X0,X1,X2] : ld(X0,ld(X1,mult(X2,X1))) = mult(ld(mult(X1,X0),X2),X1),
inference(paramodulation,[status(thm)],[f36,f8]) ).
fof(f62,plain,
! [X0,X1,X2] : mult(mult(X0,rd(X1,X2)),X2) = mult(X2,mult(ld(X2,X0),X1)),
inference(paramodulation,[status(thm)],[f9,f21]) ).
fof(f68,plain,
! [X0,X1,X2] : ld(X0,mult(mult(X1,X2),X0)) = mult(ld(X0,X1),mult(X2,X0)),
inference(paramodulation,[status(thm)],[f21,f8]) ).
fof(f111,plain,
! [X0,X1,X2] : rd(mult(X0,X1),X0) = mult(mult(X0,rd(X1,mult(X2,X0))),X2),
inference(paramodulation,[status(thm)],[f9,f22]) ).
fof(f115,plain,
! [X0,X1,X2] : rd(mult(X0,mult(X1,X2)),X0) = mult(mult(X0,X1),rd(X2,X0)),
inference(paramodulation,[status(thm)],[f9,f22]) ).
fof(f158,plain,
! [X0,X1,X2] : ld(ld(X0,X1),ld(X0,mult(X2,X0))) = mult(ld(X1,X2),X0),
inference(paramodulation,[status(thm)],[f7,f51]) ).
fof(f176,plain,
! [X0,X1,X2] : mult(X0,X1) = mult(X1,mult(ld(X1,rd(X0,rd(X2,X1))),X2)),
inference(paramodulation,[status(thm)],[f9,f62]) ).
fof(f387,plain,
! [X0,X1,X2] : rd(mult(X0,X1),X0) = mult(mult(X0,rd(X1,X2)),rd(X2,X0)),
inference(paramodulation,[status(thm)],[f9,f111]) ).
fof(f422,plain,
! [X0,X1] : mult(X0,X1) = mult(mult(mult(X0,X1),X0),rd(X1,mult(X0,X1))),
inference(paramodulation,[status(thm)],[f10,f115]) ).
fof(f566,plain,
! [X0,X1] : rd(mult(X0,X1),rd(X1,mult(X0,X1))) = mult(mult(X0,X1),X0),
inference(paramodulation,[status(thm)],[f422,f10]) ).
fof(f716,plain,
! [X0,X1] : ld(ld(X0,X1),X0) = mult(ld(X1,X0),X0),
inference(paramodulation,[status(thm)],[f8,f158]) ).
fof(f732,plain,
! [X0,X1,X2] : ld(ld(X0,X1),ld(X0,X2)) = mult(ld(X1,rd(X2,X0)),X0),
inference(paramodulation,[status(thm)],[f9,f158]) ).
fof(f745,plain,
! [X0,X1] : ld(ld(X0,rd(X0,X1)),X0) = mult(X1,X0),
inference(paramodulation,[status(thm)],[f13,f716]) ).
fof(f785,plain,
! [X0,X1] : rd(ld(ld(X0,X1),X0),X0) = ld(X1,X0),
inference(paramodulation,[status(thm)],[f716,f10]) ).
fof(f794,plain,
! [X0,X1] : rd(X0,mult(X1,X0)) = ld(X0,rd(X0,X1)),
inference(paramodulation,[status(thm)],[f745,f14]) ).
fof(f798,plain,
! [X0,X1] : mult(X0,X1) = mult(mult(mult(X0,X1),X0),ld(X1,rd(X1,X0))),
inference(backward_demodulation,[status(thm)],[f794,f422]) ).
fof(f809,plain,
! [X0,X1] : rd(mult(X0,X1),ld(X1,rd(X1,X0))) = mult(mult(X0,X1),X0),
inference(backward_demodulation,[status(thm)],[f794,f566]) ).
fof(f845,plain,
! [X0,X1] : rd(X0,X1) = ld(X0,rd(X0,rd(X1,X0))),
inference(paramodulation,[status(thm)],[f9,f794]) ).
fof(f1095,plain,
! [X0,X1] : mult(X0,mult(X1,X0)) = mult(mult(mult(X0,mult(X1,X0)),X0),ld(mult(X1,X0),X1)),
inference(paramodulation,[status(thm)],[f10,f798]) ).
fof(f1187,plain,
! [X0,X1] : rd(X0,ld(X1,rd(X1,rd(X0,X1)))) = mult(mult(rd(X0,X1),X1),rd(X0,X1)),
inference(paramodulation,[status(thm)],[f9,f809]) ).
fof(f1188,plain,
! [X0,X1] : rd(X0,rd(X1,X0)) = mult(mult(rd(X0,X1),X1),rd(X0,X1)),
inference(forward_demodulation,[status(thm)],[f845,f1187]) ).
fof(f1189,plain,
! [X0,X1] : rd(X0,rd(X1,X0)) = mult(X0,rd(X0,X1)),
inference(forward_demodulation,[status(thm)],[f9,f1188]) ).
fof(f1243,plain,
! [X0,X1] : rd(ld(X0,X1),X0) = mult(ld(X0,X1),rd(ld(X0,X1),X1)),
inference(paramodulation,[status(thm)],[f14,f1189]) ).
fof(f1264,plain,
! [X0,X1] : ld(mult(X0,rd(X0,X1)),X0) = rd(X1,X0),
inference(paramodulation,[status(thm)],[f1189,f13]) ).
fof(f1277,plain,
! [X0,X1] : rd(ld(X0,X1),X1) = ld(mult(X1,X0),X1),
inference(paramodulation,[status(thm)],[f8,f785]) ).
fof(f1308,plain,
! [X0,X1] : rd(ld(X0,X1),X0) = mult(ld(X0,X1),ld(mult(X1,X0),X1)),
inference(backward_demodulation,[status(thm)],[f1277,f1243]) ).
fof(f1855,plain,
! [X0,X1] : rd(rd(ld(X0,X1),X0),ld(mult(X1,X0),X1)) = ld(X0,X1),
inference(paramodulation,[status(thm)],[f1308,f10]) ).
fof(f1866,plain,
! [X0] : rd(ld(mult(X0,X0),X0),ld(mult(X0,X0),X0)) = ld(X0,X0),
inference(paramodulation,[status(thm)],[f1277,f1855]) ).
fof(f1939,plain,
! [X0] : rd(ld(mult(X0,X0),X0),ld(X0,X0)) = mult(ld(mult(X0,X0),X0),rd(ld(mult(X0,X0),X0),ld(mult(X0,X0),X0))),
inference(paramodulation,[status(thm)],[f1866,f1189]) ).
fof(f1940,plain,
! [X0] : rd(ld(mult(X0,X0),X0),ld(X0,X0)) = mult(ld(mult(X0,X0),X0),ld(X0,X0)),
inference(forward_demodulation,[status(thm)],[f1866,f1939]) ).
fof(f3567,plain,
! [X0] : mult(ld(X0,X0),ld(mult(X0,X0),X0)) = mult(mult(mult(ld(X0,X0),ld(mult(X0,X0),X0)),ld(X0,X0)),ld(ld(mult(X0,X0),X0),mult(ld(mult(X0,X0),X0),ld(X0,X0)))),
inference(paramodulation,[status(thm)],[f1940,f798]) ).
fof(f3568,plain,
! [X0] : rd(ld(X0,X0),X0) = mult(mult(mult(ld(X0,X0),ld(mult(X0,X0),X0)),ld(X0,X0)),ld(ld(mult(X0,X0),X0),mult(ld(mult(X0,X0),X0),ld(X0,X0)))),
inference(forward_demodulation,[status(thm)],[f1308,f3567]) ).
fof(f3569,plain,
! [X0] : ld(mult(X0,X0),X0) = mult(mult(mult(ld(X0,X0),ld(mult(X0,X0),X0)),ld(X0,X0)),ld(ld(mult(X0,X0),X0),mult(ld(mult(X0,X0),X0),ld(X0,X0)))),
inference(forward_demodulation,[status(thm)],[f1277,f3568]) ).
fof(f3570,plain,
! [X0] : ld(mult(X0,X0),X0) = mult(mult(rd(ld(X0,X0),X0),ld(X0,X0)),ld(ld(mult(X0,X0),X0),mult(ld(mult(X0,X0),X0),ld(X0,X0)))),
inference(forward_demodulation,[status(thm)],[f1308,f3569]) ).
fof(f3571,plain,
! [X0] : ld(mult(X0,X0),X0) = mult(mult(ld(mult(X0,X0),X0),ld(X0,X0)),ld(ld(mult(X0,X0),X0),mult(ld(mult(X0,X0),X0),ld(X0,X0)))),
inference(forward_demodulation,[status(thm)],[f1277,f3570]) ).
fof(f3572,plain,
! [X0] : ld(mult(X0,X0),X0) = mult(mult(ld(mult(X0,X0),X0),ld(X0,X0)),ld(X0,X0)),
inference(forward_demodulation,[status(thm)],[f8,f3571]) ).
fof(f4457,plain,
! [X0,X1,X2] : mult(X0,X1) = mult(X1,mult(ld(X1,rd(X0,ld(mult(X1,X2),X1))),ld(X2,X1))),
inference(paramodulation,[status(thm)],[f1277,f176]) ).
fof(f4569,plain,
! [X0,X1] : mult(X0,mult(ld(X0,rd(X1,rd(X0,X0))),X0)) = mult(mult(mult(X1,X0),X0),ld(mult(ld(X0,rd(X1,rd(X0,X0))),X0),ld(X0,rd(X1,rd(X0,X0))))),
inference(paramodulation,[status(thm)],[f176,f1095]) ).
fof(f4570,plain,
! [X0,X1] : mult(X0,X1) = mult(mult(mult(X0,X1),X1),ld(mult(ld(X1,rd(X0,rd(X1,X1))),X1),ld(X1,rd(X0,rd(X1,X1))))),
inference(forward_demodulation,[status(thm)],[f176,f4569]) ).
fof(f4671,plain,
! [X0,X1,X2] : ld(X0,mult(X1,X0)) = mult(ld(X0,rd(X1,rd(X2,X0))),X2),
inference(paramodulation,[status(thm)],[f176,f8]) ).
fof(f4761,plain,
! [X0,X1] : mult(X0,X1) = mult(mult(mult(X0,X1),X1),ld(ld(X1,mult(X0,X1)),ld(X1,rd(X0,rd(X1,X1))))),
inference(backward_demodulation,[status(thm)],[f4671,f4570]) ).
fof(f4978,plain,
! [X0,X1,X2] : ld(X0,mult(X1,X0)) = mult(ld(X0,rd(X1,ld(mult(X0,X2),X0))),ld(X2,X0)),
inference(paramodulation,[status(thm)],[f4457,f8]) ).
fof(f5243,plain,
! [X0,X1,X2] : rd(ld(X0,mult(X1,X0)),ld(X2,X0)) = ld(X0,rd(X1,ld(mult(X0,X2),X0))),
inference(paramodulation,[status(thm)],[f4978,f10]) ).
fof(f5332,plain,
! [X0,X1,X2] : rd(ld(X0,X1),ld(X2,X0)) = ld(X0,rd(rd(X1,X0),ld(mult(X0,X2),X0))),
inference(paramodulation,[status(thm)],[f9,f5243]) ).
fof(f5356,plain,
! [X0,X1,X2] : rd(ld(X0,mult(X1,X0)),X2) = ld(X0,rd(X1,ld(mult(X0,rd(X0,X2)),X0))),
inference(paramodulation,[status(thm)],[f13,f5243]) ).
fof(f5357,plain,
! [X0,X1,X2] : rd(ld(X0,mult(X1,X0)),X2) = ld(X0,rd(X1,rd(X2,X0))),
inference(forward_demodulation,[status(thm)],[f1264,f5356]) ).
fof(f5420,plain,
! [X0,X1,X2] : ld(ld(X0,mult(X1,X0)),rd(ld(X0,mult(X1,X0)),X2)) = ld(X0,rd(X1,rd(mult(X2,ld(X0,mult(X1,X0))),X0))),
inference(paramodulation,[status(thm)],[f794,f5357]) ).
fof(f5421,plain,
! [X0,X1,X2] : ld(ld(X0,mult(X1,X0)),ld(X0,rd(X1,rd(X2,X0)))) = ld(X0,rd(X1,rd(mult(X2,ld(X0,mult(X1,X0))),X0))),
inference(forward_demodulation,[status(thm)],[f5357,f5420]) ).
fof(f5527,plain,
! [X0,X1] : mult(X0,X1) = mult(mult(mult(X0,X1),X1),ld(X1,rd(X0,rd(mult(X1,ld(X1,mult(X0,X1))),X1)))),
inference(backward_demodulation,[status(thm)],[f5421,f4761]) ).
fof(f5528,plain,
! [X0,X1] : mult(X0,X1) = mult(mult(mult(X0,X1),X1),ld(X1,rd(X0,rd(mult(X0,X1),X1)))),
inference(forward_demodulation,[status(thm)],[f7,f5527]) ).
fof(f5529,plain,
! [X0,X1] : mult(X0,X1) = mult(mult(mult(X0,X1),X1),ld(X1,rd(X0,X0))),
inference(forward_demodulation,[status(thm)],[f10,f5528]) ).
fof(f6408,plain,
! [X0,X1,X2] : mult(X0,rd(ld(X0,X1),ld(X2,X0))) = rd(rd(X1,X0),ld(mult(X0,X2),X0)),
inference(paramodulation,[status(thm)],[f5332,f7]) ).
fof(f8718,plain,
! [X0] : mult(X0,rd(X0,X0)) = mult(rd(mult(X0,X0),X0),ld(rd(X0,X0),rd(X0,X0))),
inference(paramodulation,[status(thm)],[f387,f5529]) ).
fof(f8719,plain,
! [X0] : mult(X0,rd(X0,X0)) = mult(X0,ld(rd(X0,X0),rd(X0,X0))),
inference(forward_demodulation,[status(thm)],[f10,f8718]) ).
fof(f10785,plain,
! [X0] : ld(X0,mult(X0,rd(X0,X0))) = ld(rd(X0,X0),rd(X0,X0)),
inference(paramodulation,[status(thm)],[f8719,f8]) ).
fof(f10786,plain,
! [X0] : rd(X0,X0) = ld(rd(X0,X0),rd(X0,X0)),
inference(forward_demodulation,[status(thm)],[f8,f10785]) ).
fof(f10962,plain,
! [X0,X1] : ld(rd(X0,X0),mult(X1,rd(X0,X0))) = mult(ld(rd(X0,X0),rd(X1,ld(mult(rd(X0,X0),rd(X0,X0)),rd(X0,X0)))),rd(X0,X0)),
inference(paramodulation,[status(thm)],[f10786,f4978]) ).
fof(f10963,plain,
! [X0] : ld(mult(rd(X0,X0),rd(X0,X0)),rd(X0,X0)) = mult(mult(ld(mult(rd(X0,X0),rd(X0,X0)),rd(X0,X0)),ld(rd(X0,X0),rd(X0,X0))),rd(X0,X0)),
inference(paramodulation,[status(thm)],[f10786,f3572]) ).
fof(f10964,plain,
! [X0] : ld(mult(rd(X0,X0),rd(X0,X0)),rd(X0,X0)) = mult(mult(ld(mult(rd(X0,X0),rd(X0,X0)),rd(X0,X0)),rd(X0,X0)),rd(X0,X0)),
inference(forward_demodulation,[status(thm)],[f10786,f10963]) ).
fof(f10965,plain,
! [X0] : ld(mult(rd(X0,X0),rd(X0,X0)),rd(X0,X0)) = mult(ld(rd(X0,X0),ld(rd(X0,X0),mult(rd(X0,X0),rd(X0,X0)))),rd(X0,X0)),
inference(forward_demodulation,[status(thm)],[f51,f10964]) ).
fof(f10966,plain,
! [X0] : ld(mult(rd(X0,X0),rd(X0,X0)),rd(X0,X0)) = mult(ld(rd(X0,X0),rd(X0,X0)),rd(X0,X0)),
inference(forward_demodulation,[status(thm)],[f8,f10965]) ).
fof(f10967,plain,
! [X0] : ld(mult(rd(X0,X0),rd(X0,X0)),rd(X0,X0)) = ld(ld(rd(X0,X0),rd(X0,X0)),rd(X0,X0)),
inference(forward_demodulation,[status(thm)],[f716,f10966]) ).
fof(f10968,plain,
! [X0] : ld(mult(rd(X0,X0),rd(X0,X0)),rd(X0,X0)) = ld(rd(X0,X0),rd(X0,X0)),
inference(forward_demodulation,[status(thm)],[f10786,f10967]) ).
fof(f10969,plain,
! [X0] : ld(mult(rd(X0,X0),rd(X0,X0)),rd(X0,X0)) = rd(X0,X0),
inference(forward_demodulation,[status(thm)],[f10786,f10968]) ).
fof(f10986,plain,
! [X0] : rd(rd(rd(X0,X0),rd(X0,X0)),ld(mult(rd(X0,X0),rd(X0,X0)),rd(X0,X0))) = ld(rd(X0,X0),rd(X0,X0)),
inference(paramodulation,[status(thm)],[f10786,f1855]) ).
fof(f10987,plain,
! [X0] : mult(rd(X0,X0),rd(ld(rd(X0,X0),rd(X0,X0)),ld(rd(X0,X0),rd(X0,X0)))) = ld(rd(X0,X0),rd(X0,X0)),
inference(forward_demodulation,[status(thm)],[f6408,f10986]) ).
fof(f10988,plain,
! [X0] : mult(rd(X0,X0),rd(rd(X0,X0),ld(rd(X0,X0),rd(X0,X0)))) = ld(rd(X0,X0),rd(X0,X0)),
inference(forward_demodulation,[status(thm)],[f10786,f10987]) ).
fof(f10989,plain,
! [X0] : mult(rd(X0,X0),rd(X0,X0)) = ld(rd(X0,X0),rd(X0,X0)),
inference(forward_demodulation,[status(thm)],[f14,f10988]) ).
fof(f10990,plain,
! [X0] : mult(rd(X0,X0),rd(X0,X0)) = rd(X0,X0),
inference(forward_demodulation,[status(thm)],[f10786,f10989]) ).
fof(f11011,plain,
! [X0,X1] : ld(rd(X0,X0),mult(mult(rd(X0,X0),X1),rd(X0,X0))) = mult(rd(X0,X0),mult(X1,rd(X0,X0))),
inference(paramodulation,[status(thm)],[f10786,f68]) ).
fof(f11020,plain,
! [X0,X1] : ld(rd(X0,X0),mult(X1,rd(X0,X0))) = mult(ld(rd(X0,X0),rd(X1,rd(X0,X0))),rd(X0,X0)),
inference(backward_demodulation,[status(thm)],[f10969,f10962]) ).
fof(f11021,plain,
! [X0,X1] : ld(rd(X0,X0),mult(X1,rd(X0,X0))) = ld(ld(rd(X0,X0),rd(X0,X0)),ld(rd(X0,X0),X1)),
inference(forward_demodulation,[status(thm)],[f732,f11020]) ).
fof(f11022,plain,
! [X0,X1] : ld(rd(X0,X0),mult(X1,rd(X0,X0))) = ld(rd(X0,X0),ld(rd(X0,X0),X1)),
inference(forward_demodulation,[status(thm)],[f10786,f11021]) ).
fof(f11059,plain,
! [X0,X1] : ld(rd(X0,X0),ld(rd(X0,X0),mult(rd(X0,X0),X1))) = mult(rd(X0,X0),mult(X1,rd(X0,X0))),
inference(backward_demodulation,[status(thm)],[f11022,f11011]) ).
fof(f11060,plain,
! [X0,X1] : ld(rd(X0,X0),X1) = mult(rd(X0,X0),mult(X1,rd(X0,X0))),
inference(forward_demodulation,[status(thm)],[f8,f11059]) ).
fof(f11438,plain,
! [X0,X1] : mult(mult(rd(X0,X0),X1),rd(X0,X0)) = mult(rd(X0,X0),mult(rd(X0,X0),mult(X1,rd(X0,X0)))),
inference(paramodulation,[status(thm)],[f10990,f11]) ).
fof(f11439,plain,
! [X0,X1] : mult(mult(rd(X0,X0),X1),rd(X0,X0)) = mult(rd(X0,X0),ld(rd(X0,X0),X1)),
inference(forward_demodulation,[status(thm)],[f11060,f11438]) ).
fof(f11440,plain,
! [X0,X1] : mult(mult(rd(X0,X0),X1),rd(X0,X0)) = X1,
inference(forward_demodulation,[status(thm)],[f7,f11439]) ).
fof(f13093,plain,
! [X0,X1] : mult(X0,rd(X1,X1)) = ld(rd(X1,X1),X0),
inference(paramodulation,[status(thm)],[f7,f11440]) ).
fof(f13120,plain,
! [X0,X1] : mult(rd(X0,X0),mult(X1,rd(X0,X0))) = mult(mult(X1,rd(X0,X0)),ld(mult(X1,rd(X0,X0)),X1)),
inference(paramodulation,[status(thm)],[f11440,f1095]) ).
fof(f13121,plain,
! [X0,X1] : ld(rd(X0,X0),X1) = mult(mult(X1,rd(X0,X0)),ld(mult(X1,rd(X0,X0)),X1)),
inference(forward_demodulation,[status(thm)],[f11060,f13120]) ).
fof(f13122,plain,
! [X0,X1] : ld(rd(X0,X0),X1) = X1,
inference(forward_demodulation,[status(thm)],[f7,f13121]) ).
fof(f13564,plain,
ld(rd(x1,x1),x0) != x0,
inference(backward_demodulation,[status(thm)],[f13093,f12]) ).
fof(f13565,plain,
x0 != x0,
inference(forward_demodulation,[status(thm)],[f13122,f13564]) ).
fof(f13566,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f13565]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP660-11 : TPTP v8.1.2. Released v8.1.0.
% 0.06/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.33 % Computer : n001.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Tue May 30 12:01:45 EDT 2023
% 0.11/0.33 % CPUTime :
% 0.11/0.34 % Drodi V3.5.1
% 36.95/5.17 % Refutation found
% 36.95/5.17 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 36.95/5.17 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 38.84/5.36 % Elapsed time: 5.009487 seconds
% 38.84/5.36 % CPU time: 38.734826 seconds
% 38.84/5.36 % Memory used: 568.252 MB
%------------------------------------------------------------------------------