TSTP Solution File: GRP684-1 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP684-1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n018.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 12:12:32 EDT 2023
% Result : Unsatisfiable 1.42s 0.55s
% Output : CNFRefutation 1.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 8
% Syntax : Number of formulae : 113 ( 113 unt; 0 def)
% Number of atoms : 113 ( 112 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 8 ( 8 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 240 (; 240 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A] : ld(A,mult(A,A)) = A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A] : rd(mult(A,A),A) = A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A,B] : mult(A,ld(A,B)) = ld(A,mult(A,B)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A,B] : mult(rd(A,B),B) = rd(mult(A,B),B),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [A,B,C,D] : ld(ld(A,B),mult(ld(A,B),mult(C,D))) = mult(ld(A,mult(A,C)),D),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [A,B,C,D] : rd(mult(mult(A,B),rd(C,D)),rd(C,D)) = mult(A,rd(mult(B,D),D)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [A,B] : ld(A,mult(A,ld(B,B))) = rd(mult(rd(A,A),B),B),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
rd(mult(a,mult(b,c)),mult(b,c)) != rd(mult(a,c),c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,plain,
! [X0] : ld(X0,mult(X0,X0)) = X0,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f10,plain,
! [X0] : rd(mult(X0,X0),X0) = X0,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f11,plain,
! [X0,X1] : mult(X0,ld(X0,X1)) = ld(X0,mult(X0,X1)),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f12,plain,
! [X0,X1] : mult(rd(X0,X1),X1) = rd(mult(X0,X1),X1),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f13,plain,
! [X0,X1,X2,X3] : ld(ld(X0,X1),mult(ld(X0,X1),mult(X2,X3))) = mult(ld(X0,mult(X0,X2)),X3),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f14,plain,
! [X0,X1,X2,X3] : rd(mult(mult(X0,X1),rd(X2,X3)),rd(X2,X3)) = mult(X0,rd(mult(X1,X3),X3)),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f15,plain,
! [X0,X1] : ld(X0,mult(X0,ld(X1,X1))) = rd(mult(rd(X0,X0),X1),X1),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f16,plain,
rd(mult(a,mult(b,c)),mult(b,c)) != rd(mult(a,c),c),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f17,plain,
! [X0,X1,X2,X3] : mult(ld(X0,X1),ld(ld(X0,X1),mult(X2,X3))) = mult(ld(X0,mult(X0,X2)),X3),
inference(forward_demodulation,[status(thm)],[f11,f13]) ).
fof(f18,plain,
! [X0,X1,X2,X3] : mult(ld(X0,X1),ld(ld(X0,X1),mult(X2,X3))) = mult(mult(X0,ld(X0,X2)),X3),
inference(forward_demodulation,[status(thm)],[f11,f17]) ).
fof(f19,plain,
! [X0,X1,X2,X3] : mult(rd(mult(X0,X1),rd(X2,X3)),rd(X2,X3)) = mult(X0,rd(mult(X1,X3),X3)),
inference(forward_demodulation,[status(thm)],[f12,f14]) ).
fof(f20,plain,
! [X0,X1,X2,X3] : mult(rd(mult(X0,X1),rd(X2,X3)),rd(X2,X3)) = mult(X0,mult(rd(X1,X3),X3)),
inference(forward_demodulation,[status(thm)],[f12,f19]) ).
fof(f21,plain,
! [X0,X1] : mult(X0,ld(X0,ld(X1,X1))) = rd(mult(rd(X0,X0),X1),X1),
inference(forward_demodulation,[status(thm)],[f11,f15]) ).
fof(f22,plain,
! [X0,X1] : mult(X0,ld(X0,ld(X1,X1))) = mult(rd(rd(X0,X0),X1),X1),
inference(forward_demodulation,[status(thm)],[f12,f21]) ).
fof(f23,plain,
mult(rd(a,mult(b,c)),mult(b,c)) != rd(mult(a,c),c),
inference(forward_demodulation,[status(thm)],[f12,f16]) ).
fof(f24,plain,
mult(rd(a,mult(b,c)),mult(b,c)) != mult(rd(a,c),c),
inference(forward_demodulation,[status(thm)],[f12,f23]) ).
fof(f25,plain,
! [X0] : mult(X0,ld(X0,X0)) = X0,
inference(backward_demodulation,[status(thm)],[f11,f9]) ).
fof(f26,plain,
! [X0] : mult(rd(X0,X0),X0) = X0,
inference(backward_demodulation,[status(thm)],[f12,f10]) ).
fof(f28,plain,
! [X0] : mult(X0,ld(X0,ld(X0,X0))) = ld(X0,X0),
inference(paramodulation,[status(thm)],[f25,f11]) ).
fof(f29,plain,
! [X0] : mult(rd(rd(X0,X0),X0),X0) = rd(X0,X0),
inference(paramodulation,[status(thm)],[f26,f12]) ).
fof(f30,plain,
! [X0] : mult(X0,ld(X0,ld(X0,X0))) = rd(X0,X0),
inference(forward_demodulation,[status(thm)],[f22,f29]) ).
fof(f31,plain,
! [X0] : ld(X0,X0) = rd(X0,X0),
inference(forward_demodulation,[status(thm)],[f28,f30]) ).
fof(f32,plain,
! [X0] : mult(rd(X0,ld(X0,X0)),ld(X0,X0)) = rd(X0,ld(X0,X0)),
inference(paramodulation,[status(thm)],[f25,f12]) ).
fof(f33,plain,
! [X0] : mult(ld(X0,X0),X0) = X0,
inference(backward_demodulation,[status(thm)],[f31,f26]) ).
fof(f36,plain,
! [X0,X1] : mult(X0,ld(X0,ld(X1,X1))) = mult(rd(ld(X0,X0),X1),X1),
inference(backward_demodulation,[status(thm)],[f31,f22]) ).
fof(f44,plain,
! [X0,X1,X2] : mult(ld(X0,X1),ld(ld(X0,X1),X2)) = mult(mult(X0,ld(X0,X2)),ld(X2,X2)),
inference(paramodulation,[status(thm)],[f25,f18]) ).
fof(f51,plain,
! [X0] : mult(ld(X0,X0),ld(ld(X0,X0),X0)) = ld(ld(X0,X0),X0),
inference(paramodulation,[status(thm)],[f33,f11]) ).
fof(f59,plain,
! [X0] : mult(X0,ld(X0,ld(ld(X0,X0),ld(X0,X0)))) = mult(ld(ld(X0,X0),ld(X0,X0)),ld(X0,X0)),
inference(paramodulation,[status(thm)],[f31,f36]) ).
fof(f60,plain,
! [X0] : mult(X0,ld(X0,ld(ld(X0,X0),ld(X0,X0)))) = ld(X0,X0),
inference(forward_demodulation,[status(thm)],[f33,f59]) ).
fof(f86,plain,
! [X0,X1,X2] : mult(rd(X0,rd(X1,X2)),rd(X1,X2)) = mult(X0,mult(rd(ld(X0,X0),X2),X2)),
inference(paramodulation,[status(thm)],[f25,f20]) ).
fof(f87,plain,
! [X0,X1,X2] : mult(rd(X0,rd(X1,X2)),rd(X1,X2)) = mult(X0,mult(X0,ld(X0,ld(X2,X2)))),
inference(forward_demodulation,[status(thm)],[f36,f86]) ).
fof(f110,plain,
! [X0,X1,X2] : mult(mult(X0,ld(X0,X1)),ld(ld(X0,mult(X0,X1)),X2)) = mult(mult(X0,ld(X0,X2)),ld(X2,X2)),
inference(paramodulation,[status(thm)],[f11,f44]) ).
fof(f111,plain,
! [X0,X1,X2] : mult(mult(X0,ld(X0,X1)),ld(mult(X0,ld(X0,X1)),X2)) = mult(mult(X0,ld(X0,X2)),ld(X2,X2)),
inference(forward_demodulation,[status(thm)],[f11,f110]) ).
fof(f122,plain,
! [X0,X1] : mult(ld(X0,X1),ld(ld(X0,X1),ld(X0,X0))) = mult(ld(X0,X0),ld(ld(X0,X0),ld(X0,X0))),
inference(paramodulation,[status(thm)],[f28,f44]) ).
fof(f123,plain,
! [X0,X1] : mult(ld(X0,X1),ld(ld(X0,X1),ld(X0,X0))) = ld(X0,X0),
inference(forward_demodulation,[status(thm)],[f25,f122]) ).
fof(f124,plain,
! [X0,X1] : mult(ld(X0,X1),ld(ld(X0,X1),X0)) = mult(X0,ld(X0,X0)),
inference(paramodulation,[status(thm)],[f25,f44]) ).
fof(f125,plain,
! [X0,X1] : mult(ld(X0,X1),ld(ld(X0,X1),X0)) = X0,
inference(forward_demodulation,[status(thm)],[f25,f124]) ).
fof(f144,plain,
! [X0,X1,X2] : mult(mult(X0,ld(X0,X1)),ld(mult(X0,ld(X0,X1)),ld(X1,X1))) = ld(mult(X0,ld(X0,X1)),mult(ld(X0,X2),ld(ld(X0,X2),X1))),
inference(paramodulation,[status(thm)],[f44,f11]) ).
fof(f145,plain,
! [X0] : X0 = ld(ld(X0,X0),X0),
inference(backward_demodulation,[status(thm)],[f125,f51]) ).
fof(f168,plain,
! [X0,X1,X2] : mult(ld(ld(X0,X0),X0),ld(X0,mult(X1,X2))) = mult(mult(ld(X0,X0),ld(ld(X0,X0),X1)),X2),
inference(paramodulation,[status(thm)],[f145,f18]) ).
fof(f169,plain,
! [X0,X1,X2] : mult(X0,ld(X0,mult(X1,X2))) = mult(mult(ld(X0,X0),ld(ld(X0,X0),X1)),X2),
inference(forward_demodulation,[status(thm)],[f145,f168]) ).
fof(f200,plain,
! [X0] : mult(X0,ld(ld(ld(X0,X0),X0),ld(ld(X0,X0),ld(X0,X0)))) = ld(ld(X0,X0),ld(X0,X0)),
inference(paramodulation,[status(thm)],[f145,f123]) ).
fof(f201,plain,
! [X0] : mult(X0,ld(X0,ld(ld(X0,X0),ld(X0,X0)))) = ld(ld(X0,X0),ld(X0,X0)),
inference(forward_demodulation,[status(thm)],[f145,f200]) ).
fof(f202,plain,
! [X0] : ld(X0,X0) = ld(ld(X0,X0),ld(X0,X0)),
inference(forward_demodulation,[status(thm)],[f60,f201]) ).
fof(f284,plain,
! [X0,X1,X2] : mult(ld(ld(X0,X0),ld(X0,X0)),ld(ld(X0,X0),mult(X1,X2))) = mult(mult(ld(X0,X0),ld(ld(X0,X0),X1)),X2),
inference(paramodulation,[status(thm)],[f202,f18]) ).
fof(f285,plain,
! [X0,X1,X2] : mult(ld(X0,X0),ld(ld(X0,X0),mult(X1,X2))) = mult(mult(ld(X0,X0),ld(ld(X0,X0),X1)),X2),
inference(forward_demodulation,[status(thm)],[f202,f284]) ).
fof(f286,plain,
! [X0,X1,X2] : mult(mult(X0,ld(X0,X1)),X2) = mult(mult(ld(X0,X0),ld(ld(X0,X0),X1)),X2),
inference(forward_demodulation,[status(thm)],[f18,f285]) ).
fof(f287,plain,
! [X0,X1,X2] : mult(mult(X0,ld(X0,X1)),X2) = mult(X0,ld(X0,mult(X1,X2))),
inference(forward_demodulation,[status(thm)],[f169,f286]) ).
fof(f294,plain,
! [X0,X1,X2] : mult(ld(X0,X1),ld(ld(X0,X1),X2)) = mult(X0,ld(X0,mult(X2,ld(X2,X2)))),
inference(backward_demodulation,[status(thm)],[f287,f44]) ).
fof(f295,plain,
! [X0,X1,X2] : mult(ld(X0,X1),ld(ld(X0,X1),X2)) = mult(X0,ld(X0,X2)),
inference(forward_demodulation,[status(thm)],[f25,f294]) ).
fof(f334,plain,
! [X0,X1,X2] : mult(X0,ld(X0,mult(X1,ld(mult(X0,ld(X0,X1)),ld(X1,X1))))) = ld(mult(X0,ld(X0,X1)),mult(ld(X0,X2),ld(ld(X0,X2),X1))),
inference(backward_demodulation,[status(thm)],[f287,f144]) ).
fof(f335,plain,
! [X0,X1] : mult(X0,ld(X0,mult(X1,ld(mult(X0,ld(X0,X1)),ld(X1,X1))))) = ld(mult(X0,ld(X0,X1)),mult(X0,ld(X0,X1))),
inference(forward_demodulation,[status(thm)],[f295,f334]) ).
fof(f338,plain,
! [X0,X1,X2] : mult(X0,ld(X0,mult(X1,ld(mult(X0,ld(X0,X1)),X2)))) = mult(mult(X0,ld(X0,X2)),ld(X2,X2)),
inference(backward_demodulation,[status(thm)],[f287,f111]) ).
fof(f339,plain,
! [X0,X1,X2] : mult(X0,ld(X0,mult(X1,ld(mult(X0,ld(X0,X1)),X2)))) = mult(X0,ld(X0,mult(X2,ld(X2,X2)))),
inference(forward_demodulation,[status(thm)],[f287,f338]) ).
fof(f340,plain,
! [X0,X1,X2] : mult(X0,ld(X0,mult(X1,ld(mult(X0,ld(X0,X1)),X2)))) = mult(X0,ld(X0,X2)),
inference(forward_demodulation,[status(thm)],[f25,f339]) ).
fof(f370,plain,
! [X0,X1] : mult(X0,ld(X0,ld(X1,X1))) = ld(mult(X0,ld(X0,X1)),mult(X0,ld(X0,X1))),
inference(backward_demodulation,[status(thm)],[f340,f335]) ).
fof(f406,plain,
! [X0,X1] : mult(X0,X1) = mult(X0,ld(X0,mult(X0,X1))),
inference(paramodulation,[status(thm)],[f25,f287]) ).
fof(f407,plain,
! [X0,X1] : mult(X0,X1) = mult(X0,mult(X0,ld(X0,X1))),
inference(forward_demodulation,[status(thm)],[f11,f406]) ).
fof(f415,plain,
! [X0,X1,X2] : mult(mult(X0,mult(X0,ld(X0,X1))),X2) = mult(X0,ld(X0,mult(mult(X0,X1),X2))),
inference(paramodulation,[status(thm)],[f11,f287]) ).
fof(f416,plain,
! [X0,X1,X2] : mult(mult(X0,X1),X2) = mult(X0,ld(X0,mult(mult(X0,X1),X2))),
inference(forward_demodulation,[status(thm)],[f407,f415]) ).
fof(f437,plain,
! [X0,X1,X2] : mult(rd(X0,rd(X1,X2)),rd(X1,X2)) = mult(X0,ld(X2,X2)),
inference(backward_demodulation,[status(thm)],[f407,f87]) ).
fof(f444,plain,
! [X0,X1,X2] : mult(mult(X0,X1),ld(X2,X2)) = mult(X0,mult(rd(X1,X2),X2)),
inference(backward_demodulation,[status(thm)],[f437,f20]) ).
fof(f471,plain,
! [X0,X1] : mult(rd(X0,mult(X0,ld(X0,X1))),mult(X0,ld(X0,X1))) = rd(mult(X0,X1),mult(X0,ld(X0,X1))),
inference(paramodulation,[status(thm)],[f407,f12]) ).
fof(f476,plain,
! [X0,X1] : mult(X0,X1) = mult(X0,mult(rd(X1,mult(X0,X1)),mult(X0,X1))),
inference(paramodulation,[status(thm)],[f25,f444]) ).
fof(f498,plain,
! [X0,X1,X2] : mult(mult(X0,X1),ld(X2,X2)) = mult(X0,mult(rd(X1,ld(X2,X2)),ld(X2,X2))),
inference(paramodulation,[status(thm)],[f202,f444]) ).
fof(f499,plain,
! [X0,X1,X2] : mult(X0,mult(rd(X1,X2),X2)) = mult(X0,mult(rd(X1,ld(X2,X2)),ld(X2,X2))),
inference(forward_demodulation,[status(thm)],[f444,f498]) ).
fof(f513,plain,
! [X0,X1] : ld(X0,X1) = mult(X0,ld(X0,ld(X0,X1))),
inference(paramodulation,[status(thm)],[f25,f295]) ).
fof(f583,plain,
! [X0,X1,X2] : mult(mult(X0,X1),ld(mult(X0,X1),ld(mult(X0,X1),X2))) = mult(X0,ld(X0,ld(mult(X0,X1),X2))),
inference(paramodulation,[status(thm)],[f513,f416]) ).
fof(f584,plain,
! [X0,X1,X2] : ld(mult(X0,X1),X2) = mult(X0,ld(X0,ld(mult(X0,X1),X2))),
inference(forward_demodulation,[status(thm)],[f513,f583]) ).
fof(f639,plain,
! [X0,X1,X2] : mult(rd(X0,mult(rd(X1,X2),X2)),rd(mult(X1,X2),X2)) = mult(X0,ld(X2,X2)),
inference(paramodulation,[status(thm)],[f12,f437]) ).
fof(f640,plain,
! [X0,X1,X2] : mult(rd(X0,mult(rd(X1,X2),X2)),mult(rd(X1,X2),X2)) = mult(X0,ld(X2,X2)),
inference(forward_demodulation,[status(thm)],[f12,f639]) ).
fof(f641,plain,
! [X0,X1] : mult(rd(X0,ld(X1,X1)),rd(X1,X1)) = mult(X0,ld(X1,X1)),
inference(paramodulation,[status(thm)],[f31,f437]) ).
fof(f642,plain,
! [X0,X1] : mult(rd(X0,ld(X1,X1)),ld(X1,X1)) = mult(X0,ld(X1,X1)),
inference(forward_demodulation,[status(thm)],[f31,f641]) ).
fof(f657,plain,
! [X0] : mult(X0,ld(X0,X0)) = rd(X0,ld(X0,X0)),
inference(backward_demodulation,[status(thm)],[f642,f32]) ).
fof(f658,plain,
! [X0] : X0 = rd(X0,ld(X0,X0)),
inference(forward_demodulation,[status(thm)],[f25,f657]) ).
fof(f664,plain,
! [X0,X1,X2] : mult(X0,mult(rd(X1,X2),X2)) = mult(X0,mult(X1,ld(X2,X2))),
inference(backward_demodulation,[status(thm)],[f642,f499]) ).
fof(f689,plain,
! [X0,X1,X2] : mult(rd(X0,mult(rd(X1,X2),X2)),mult(X1,ld(X2,X2))) = mult(X0,ld(X2,X2)),
inference(backward_demodulation,[status(thm)],[f664,f640]) ).
fof(f708,plain,
! [X0,X1] : mult(X0,X1) = mult(X0,mult(X1,ld(mult(X0,X1),mult(X0,X1)))),
inference(backward_demodulation,[status(thm)],[f664,f476]) ).
fof(f722,plain,
! [X0,X1] : mult(rd(X0,rd(X1,ld(X1,X1))),X1) = mult(X0,ld(ld(X1,X1),ld(X1,X1))),
inference(paramodulation,[status(thm)],[f658,f437]) ).
fof(f723,plain,
! [X0,X1] : mult(rd(X0,X1),X1) = mult(X0,ld(ld(X1,X1),ld(X1,X1))),
inference(forward_demodulation,[status(thm)],[f658,f722]) ).
fof(f724,plain,
! [X0,X1] : mult(rd(X0,X1),X1) = mult(X0,ld(X1,X1)),
inference(forward_demodulation,[status(thm)],[f202,f723]) ).
fof(f728,plain,
mult(rd(a,mult(b,c)),mult(b,c)) != mult(a,ld(c,c)),
inference(backward_demodulation,[status(thm)],[f724,f24]) ).
fof(f729,plain,
mult(a,ld(mult(b,c),mult(b,c))) != mult(a,ld(c,c)),
inference(forward_demodulation,[status(thm)],[f724,f728]) ).
fof(f731,plain,
! [X0,X1,X2] : mult(X0,ld(rd(X1,X2),rd(X1,X2))) = mult(X0,ld(X2,X2)),
inference(backward_demodulation,[status(thm)],[f724,f437]) ).
fof(f743,plain,
! [X0,X1] : mult(X0,ld(mult(X0,ld(X0,X1)),mult(X0,ld(X0,X1)))) = rd(mult(X0,X1),mult(X0,ld(X0,X1))),
inference(backward_demodulation,[status(thm)],[f724,f471]) ).
fof(f744,plain,
! [X0,X1] : mult(X0,mult(X0,ld(X0,ld(X1,X1)))) = rd(mult(X0,X1),mult(X0,ld(X0,X1))),
inference(forward_demodulation,[status(thm)],[f370,f743]) ).
fof(f745,plain,
! [X0,X1] : mult(X0,ld(X1,X1)) = rd(mult(X0,X1),mult(X0,ld(X0,X1))),
inference(forward_demodulation,[status(thm)],[f407,f744]) ).
fof(f749,plain,
! [X0,X1,X2] : mult(rd(X0,mult(X1,ld(X2,X2))),mult(X1,ld(X2,X2))) = mult(X0,ld(X2,X2)),
inference(backward_demodulation,[status(thm)],[f724,f689]) ).
fof(f750,plain,
! [X0,X1,X2] : mult(X0,ld(mult(X1,ld(X2,X2)),mult(X1,ld(X2,X2)))) = mult(X0,ld(X2,X2)),
inference(forward_demodulation,[status(thm)],[f724,f749]) ).
fof(f1184,plain,
! [X0,X1] : mult(X0,ld(X0,mult(X1,ld(mult(X0,X1),mult(X0,X1))))) = ld(X0,mult(X0,X1)),
inference(paramodulation,[status(thm)],[f708,f11]) ).
fof(f1185,plain,
! [X0,X1] : mult(X0,ld(X0,mult(X1,ld(mult(X0,X1),mult(X0,X1))))) = mult(X0,ld(X0,X1)),
inference(forward_demodulation,[status(thm)],[f11,f1184]) ).
fof(f1402,plain,
! [X0,X1] : mult(X0,ld(mult(X1,ld(mult(X0,X1),mult(X0,X1))),mult(X1,ld(mult(X0,X1),mult(X0,X1))))) = rd(mult(X0,X1),mult(X0,ld(X0,mult(X1,ld(mult(X0,X1),mult(X0,X1)))))),
inference(paramodulation,[status(thm)],[f708,f745]) ).
fof(f1403,plain,
! [X0,X1] : mult(X0,ld(mult(X0,X1),mult(X0,X1))) = rd(mult(X0,X1),mult(X0,ld(X0,mult(X1,ld(mult(X0,X1),mult(X0,X1)))))),
inference(forward_demodulation,[status(thm)],[f750,f1402]) ).
fof(f1404,plain,
! [X0,X1] : mult(X0,ld(mult(X0,X1),mult(X0,X1))) = rd(mult(X0,X1),mult(X0,ld(X0,X1))),
inference(forward_demodulation,[status(thm)],[f1185,f1403]) ).
fof(f1405,plain,
! [X0,X1] : mult(X0,ld(mult(X0,X1),mult(X0,X1))) = mult(X0,ld(X1,X1)),
inference(forward_demodulation,[status(thm)],[f745,f1404]) ).
fof(f1481,plain,
! [X0,X1,X2] : mult(X0,ld(rd(mult(X1,X2),mult(X1,ld(X1,X2))),mult(X1,ld(X2,X2)))) = mult(X0,ld(mult(X1,ld(X1,X2)),mult(X1,ld(X1,X2)))),
inference(paramodulation,[status(thm)],[f745,f731]) ).
fof(f1482,plain,
! [X0,X1,X2] : mult(X0,ld(mult(X1,ld(X2,X2)),mult(X1,ld(X2,X2)))) = mult(X0,ld(mult(X1,ld(X1,X2)),mult(X1,ld(X1,X2)))),
inference(forward_demodulation,[status(thm)],[f745,f1481]) ).
fof(f1483,plain,
! [X0,X1,X2] : mult(X0,ld(X1,X1)) = mult(X0,ld(mult(X2,ld(X2,X1)),mult(X2,ld(X2,X1)))),
inference(forward_demodulation,[status(thm)],[f750,f1482]) ).
fof(f1484,plain,
! [X0,X1,X2] : mult(X0,ld(X1,X1)) = mult(X0,mult(X2,ld(X2,ld(X1,X1)))),
inference(forward_demodulation,[status(thm)],[f370,f1483]) ).
fof(f2102,plain,
! [X0,X1] : mult(X0,ld(X0,ld(mult(X0,X1),mult(X0,X1)))) = ld(X0,mult(X0,ld(X1,X1))),
inference(paramodulation,[status(thm)],[f1405,f11]) ).
fof(f2103,plain,
! [X0,X1] : ld(mult(X0,X1),mult(X0,X1)) = ld(X0,mult(X0,ld(X1,X1))),
inference(forward_demodulation,[status(thm)],[f584,f2102]) ).
fof(f2104,plain,
! [X0,X1] : ld(mult(X0,X1),mult(X0,X1)) = mult(X0,ld(X0,ld(X1,X1))),
inference(forward_demodulation,[status(thm)],[f11,f2103]) ).
fof(f2105,plain,
mult(a,mult(b,ld(b,ld(c,c)))) != mult(a,ld(c,c)),
inference(backward_demodulation,[status(thm)],[f2104,f729]) ).
fof(f2106,plain,
mult(a,ld(c,c)) != mult(a,ld(c,c)),
inference(forward_demodulation,[status(thm)],[f1484,f2105]) ).
fof(f2107,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f2106]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP684-1 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n018.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 May 30 11:35:25 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.5.1
% 1.42/0.55 % Refutation found
% 1.42/0.55 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 1.42/0.55 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.58/0.56 % Elapsed time: 0.210686 seconds
% 1.58/0.56 % CPU time: 1.564433 seconds
% 1.58/0.56 % Memory used: 24.965 MB
%------------------------------------------------------------------------------