TSTP Solution File: GRP683-11 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP683-11 : TPTP v8.1.2. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n007.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 0.16s 0.64s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 39
% Number of leaves : 8
% Syntax : Number of formulae : 101 ( 101 unt; 0 def)
% Number of atoms : 101 ( 100 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 avg)
% Maximal term depth : 11 ( 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 : 249 (; 249 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A] : ld(A,mult(A,A)) = A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A] : rd(mult(A,A),A) = A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A,B] : mult(A,ld(A,B)) = ld(A,mult(A,B)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A,B] : mult(rd(A,B),B) = rd(mult(A,B),B),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
mult(rd(mult(x3,x4),x4),x5) != mult(x3,x5),
file('/export/starexec/sandbox/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,
mult(rd(mult(x3,x4),x4),x5) != mult(x3,x5),
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(mult(rd(x3,x4),x4),x5) != mult(x3,x5),
inference(forward_demodulation,[status(thm)],[f12,f16]) ).
fof(f24,plain,
! [X0] : mult(X0,ld(X0,X0)) = X0,
inference(backward_demodulation,[status(thm)],[f11,f9]) ).
fof(f25,plain,
! [X0] : mult(rd(X0,X0),X0) = X0,
inference(backward_demodulation,[status(thm)],[f12,f10]) ).
fof(f27,plain,
! [X0] : mult(X0,ld(X0,ld(X0,X0))) = ld(X0,X0),
inference(paramodulation,[status(thm)],[f24,f11]) ).
fof(f28,plain,
! [X0] : mult(rd(rd(X0,X0),X0),X0) = rd(X0,X0),
inference(paramodulation,[status(thm)],[f25,f12]) ).
fof(f29,plain,
! [X0] : mult(X0,ld(X0,ld(X0,X0))) = rd(X0,X0),
inference(forward_demodulation,[status(thm)],[f22,f28]) ).
fof(f30,plain,
! [X0] : ld(X0,X0) = rd(X0,X0),
inference(forward_demodulation,[status(thm)],[f27,f29]) ).
fof(f31,plain,
! [X0] : mult(rd(X0,ld(X0,X0)),ld(X0,X0)) = rd(X0,ld(X0,X0)),
inference(paramodulation,[status(thm)],[f24,f12]) ).
fof(f32,plain,
! [X0] : mult(ld(X0,X0),X0) = X0,
inference(backward_demodulation,[status(thm)],[f30,f25]) ).
fof(f35,plain,
! [X0,X1] : mult(X0,ld(X0,ld(X1,X1))) = mult(rd(ld(X0,X0),X1),X1),
inference(backward_demodulation,[status(thm)],[f30,f22]) ).
fof(f46,plain,
! [X0,X1,X2] : mult(ld(X0,X1),ld(ld(X0,X1),X2)) = mult(mult(X0,ld(X0,ld(X2,X2))),X2),
inference(paramodulation,[status(thm)],[f32,f18]) ).
fof(f60,plain,
! [X0,X1,X2] : mult(mult(rd(X0,rd(X1,X2)),rd(X1,X2)),rd(X1,X2)) = mult(X0,mult(rd(rd(X1,X2),X2),X2)),
inference(paramodulation,[status(thm)],[f12,f20]) ).
fof(f73,plain,
! [X0,X1,X2,X3] : mult(rd(mult(X0,X1),mult(rd(X2,X3),X3)),rd(mult(X2,X3),X3)) = mult(X0,mult(rd(X1,X3),X3)),
inference(paramodulation,[status(thm)],[f12,f20]) ).
fof(f74,plain,
! [X0,X1,X2,X3] : mult(rd(mult(X0,X1),mult(rd(X2,X3),X3)),mult(rd(X2,X3),X3)) = mult(X0,mult(rd(X1,X3),X3)),
inference(forward_demodulation,[status(thm)],[f12,f73]) ).
fof(f75,plain,
! [X0,X1,X2] : mult(rd(mult(X0,X1),ld(X2,X2)),rd(X2,X2)) = mult(X0,mult(rd(X1,X2),X2)),
inference(paramodulation,[status(thm)],[f30,f20]) ).
fof(f76,plain,
! [X0,X1,X2] : mult(rd(mult(X0,X1),ld(X2,X2)),ld(X2,X2)) = mult(X0,mult(rd(X1,X2),X2)),
inference(forward_demodulation,[status(thm)],[f30,f75]) ).
fof(f86,plain,
! [X0,X1] : mult(mult(rd(X0,ld(X1,X1)),ld(X1,X1)),ld(X1,X1)) = mult(X0,mult(rd(ld(X1,X1),X1),X1)),
inference(paramodulation,[status(thm)],[f12,f76]) ).
fof(f87,plain,
! [X0,X1] : mult(mult(rd(X0,ld(X1,X1)),ld(X1,X1)),ld(X1,X1)) = mult(X0,mult(X1,ld(X1,ld(X1,X1)))),
inference(forward_demodulation,[status(thm)],[f35,f86]) ).
fof(f88,plain,
! [X0,X1] : mult(mult(rd(X0,ld(X1,X1)),ld(X1,X1)),ld(X1,X1)) = mult(X0,ld(X1,X1)),
inference(forward_demodulation,[status(thm)],[f27,f87]) ).
fof(f98,plain,
! [X0,X1] : mult(rd(X0,ld(X1,X1)),ld(X1,X1)) = mult(ld(X0,X0),mult(rd(X0,X1),X1)),
inference(paramodulation,[status(thm)],[f32,f76]) ).
fof(f100,plain,
! [X0,X1] : mult(rd(ld(X0,X0),ld(X1,X1)),ld(X1,X1)) = mult(X0,mult(rd(ld(X0,ld(X0,X0)),X1),X1)),
inference(paramodulation,[status(thm)],[f27,f76]) ).
fof(f101,plain,
! [X0,X1] : mult(X0,ld(X0,ld(ld(X1,X1),ld(X1,X1)))) = mult(X0,mult(rd(ld(X0,ld(X0,X0)),X1),X1)),
inference(forward_demodulation,[status(thm)],[f35,f100]) ).
fof(f113,plain,
! [X0] : mult(rd(X0,ld(X0,X0)),ld(X0,X0)) = mult(X0,ld(X0,X0)),
inference(paramodulation,[status(thm)],[f31,f88]) ).
fof(f114,plain,
! [X0] : rd(X0,ld(X0,X0)) = mult(X0,ld(X0,X0)),
inference(forward_demodulation,[status(thm)],[f31,f113]) ).
fof(f115,plain,
! [X0] : rd(X0,ld(X0,X0)) = X0,
inference(forward_demodulation,[status(thm)],[f24,f114]) ).
fof(f154,plain,
! [X0,X1,X2] : mult(rd(mult(X0,X1),rd(X2,ld(X2,X2))),X2) = mult(X0,mult(rd(X1,ld(X2,X2)),ld(X2,X2))),
inference(paramodulation,[status(thm)],[f115,f20]) ).
fof(f155,plain,
! [X0,X1,X2] : mult(rd(mult(X0,X1),X2),X2) = mult(X0,mult(rd(X1,ld(X2,X2)),ld(X2,X2))),
inference(forward_demodulation,[status(thm)],[f115,f154]) ).
fof(f159,plain,
! [X0,X1,X2,X3] : mult(rd(mult(X0,mult(X1,X2)),X3),X3) = mult(X0,mult(X1,mult(rd(X2,X3),X3))),
inference(paramodulation,[status(thm)],[f76,f155]) ).
fof(f164,plain,
! [X0,X1] : mult(rd(mult(X0,X1),X1),X1) = mult(X0,mult(X1,ld(X1,X1))),
inference(paramodulation,[status(thm)],[f115,f155]) ).
fof(f165,plain,
! [X0,X1] : mult(mult(rd(X0,X1),X1),X1) = mult(X0,mult(X1,ld(X1,X1))),
inference(forward_demodulation,[status(thm)],[f12,f164]) ).
fof(f166,plain,
! [X0,X1] : mult(mult(rd(X0,X1),X1),X1) = mult(X0,X1),
inference(forward_demodulation,[status(thm)],[f24,f165]) ).
fof(f170,plain,
! [X0,X1,X2,X3] : mult(rd(mult(rd(mult(X0,X1),X2),X2),ld(X3,X3)),ld(X3,X3)) = mult(X0,mult(rd(mult(rd(X1,ld(X2,X2)),ld(X2,X2)),X3),X3)),
inference(paramodulation,[status(thm)],[f155,f76]) ).
fof(f171,plain,
! [X0,X1,X2,X3] : mult(rd(mult(X0,X1),X2),mult(rd(X2,X3),X3)) = mult(X0,mult(rd(mult(rd(X1,ld(X2,X2)),ld(X2,X2)),X3),X3)),
inference(forward_demodulation,[status(thm)],[f76,f170]) ).
fof(f180,plain,
! [X0,X1,X2] : mult(X0,rd(X1,X2)) = mult(X0,mult(rd(rd(X1,X2),X2),X2)),
inference(backward_demodulation,[status(thm)],[f166,f60]) ).
fof(f196,plain,
! [X0,X1,X2] : mult(rd(mult(X0,X1),ld(X2,X2)),ld(X2,X2)) = mult(mult(rd(X0,X1),X1),mult(rd(X1,X2),X2)),
inference(paramodulation,[status(thm)],[f166,f76]) ).
fof(f197,plain,
! [X0,X1,X2] : mult(X0,mult(rd(X1,X2),X2)) = mult(mult(rd(X0,X1),X1),mult(rd(X1,X2),X2)),
inference(forward_demodulation,[status(thm)],[f76,f196]) ).
fof(f213,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)],[f30,f35]) ).
fof(f214,plain,
! [X0] : mult(X0,mult(rd(ld(X0,ld(X0,X0)),X0),X0)) = mult(ld(ld(X0,X0),ld(X0,X0)),ld(X0,X0)),
inference(forward_demodulation,[status(thm)],[f101,f213]) ).
fof(f215,plain,
! [X0] : mult(X0,mult(rd(ld(X0,ld(X0,X0)),X0),X0)) = ld(X0,X0),
inference(forward_demodulation,[status(thm)],[f32,f214]) ).
fof(f217,plain,
! [X0,X1] : mult(mult(X0,ld(X0,ld(X1,X1))),X1) = mult(ld(X0,X0),X1),
inference(paramodulation,[status(thm)],[f35,f166]) ).
fof(f227,plain,
! [X0,X1,X2] : mult(ld(X0,X1),ld(ld(X0,X1),X2)) = mult(ld(X0,X0),X2),
inference(backward_demodulation,[status(thm)],[f217,f46]) ).
fof(f228,plain,
! [X0,X1,X2] : mult(ld(X0,X0),mult(X1,X2)) = mult(mult(X0,ld(X0,X1)),X2),
inference(backward_demodulation,[status(thm)],[f227,f18]) ).
fof(f359,plain,
! [X0,X1,X2,X3] : mult(X0,mult(rd(mult(rd(X1,ld(X2,X2)),ld(X2,X2)),X3),X3)) = mult(mult(rd(mult(rd(X0,mult(rd(X1,ld(X2,X2)),ld(X2,X2))),X1),X2),X2),mult(rd(mult(rd(X1,ld(X2,X2)),ld(X2,X2)),X3),X3)),
inference(paramodulation,[status(thm)],[f155,f197]) ).
fof(f360,plain,
! [X0,X1,X2,X3] : mult(rd(mult(X0,X1),X2),mult(rd(X2,X3),X3)) = mult(mult(rd(mult(rd(X0,mult(rd(X1,ld(X2,X2)),ld(X2,X2))),X1),X2),X2),mult(rd(mult(rd(X1,ld(X2,X2)),ld(X2,X2)),X3),X3)),
inference(forward_demodulation,[status(thm)],[f171,f359]) ).
fof(f361,plain,
! [X0,X1,X2,X3] : mult(rd(mult(X0,X1),X2),mult(rd(X2,X3),X3)) = mult(rd(mult(mult(rd(mult(rd(X0,mult(rd(X1,ld(X2,X2)),ld(X2,X2))),X1),X2),X2),X1),X2),mult(rd(X2,X3),X3)),
inference(forward_demodulation,[status(thm)],[f171,f360]) ).
fof(f400,plain,
! [X0,X1,X2] : mult(rd(mult(rd(X0,X1),X1),mult(rd(X1,X2),X2)),mult(rd(X1,X2),X2)) = rd(mult(X0,mult(rd(X1,X2),X2)),mult(rd(X1,X2),X2)),
inference(paramodulation,[status(thm)],[f197,f12]) ).
fof(f401,plain,
! [X0,X1,X2] : mult(rd(X0,X1),mult(rd(X1,X2),X2)) = rd(mult(X0,mult(rd(X1,X2),X2)),mult(rd(X1,X2),X2)),
inference(forward_demodulation,[status(thm)],[f74,f400]) ).
fof(f402,plain,
! [X0,X1,X2] : mult(rd(X0,X1),mult(rd(X1,X2),X2)) = mult(rd(X0,mult(rd(X1,X2),X2)),mult(rd(X1,X2),X2)),
inference(forward_demodulation,[status(thm)],[f12,f401]) ).
fof(f404,plain,
! [X0,X1,X2,X3] : mult(rd(mult(X0,X1),X2),mult(rd(X2,X3),X3)) = mult(X0,mult(rd(X1,X3),X3)),
inference(backward_demodulation,[status(thm)],[f402,f74]) ).
fof(f405,plain,
! [X0,X1,X2,X3] : mult(rd(mult(X0,X1),X2),mult(rd(X2,X3),X3)) = mult(mult(rd(mult(rd(X0,mult(rd(X1,ld(X2,X2)),ld(X2,X2))),X1),X2),X2),mult(rd(X1,X3),X3)),
inference(backward_demodulation,[status(thm)],[f404,f361]) ).
fof(f406,plain,
! [X0,X1,X2,X3] : mult(X0,mult(rd(X1,X2),X2)) = mult(mult(rd(mult(rd(X0,mult(rd(X1,ld(X3,X3)),ld(X3,X3))),X1),X3),X3),mult(rd(X1,X2),X2)),
inference(forward_demodulation,[status(thm)],[f404,f405]) ).
fof(f426,plain,
! [X0] : mult(rd(X0,mult(rd(ld(X0,ld(X0,X0)),X0),X0)),mult(rd(ld(X0,ld(X0,X0)),X0),X0)) = rd(ld(X0,X0),mult(rd(ld(X0,ld(X0,X0)),X0),X0)),
inference(paramodulation,[status(thm)],[f215,f12]) ).
fof(f427,plain,
! [X0] : mult(rd(X0,ld(X0,ld(X0,X0))),mult(rd(ld(X0,ld(X0,X0)),X0),X0)) = rd(ld(X0,X0),mult(rd(ld(X0,ld(X0,X0)),X0),X0)),
inference(forward_demodulation,[status(thm)],[f402,f426]) ).
fof(f430,plain,
! [X0,X1,X2,X3] : mult(ld(X0,X0),mult(X1,mult(rd(X2,ld(X3,X3)),ld(X3,X3)))) = mult(rd(mult(mult(X0,ld(X0,X1)),X2),X3),X3),
inference(paramodulation,[status(thm)],[f155,f228]) ).
fof(f431,plain,
! [X0,X1,X2,X3] : mult(ld(X0,X0),mult(rd(mult(X1,X2),X3),X3)) = mult(rd(mult(mult(X0,ld(X0,X1)),X2),X3),X3),
inference(forward_demodulation,[status(thm)],[f155,f430]) ).
fof(f432,plain,
! [X0,X1,X2,X3] : mult(ld(X0,X0),mult(rd(mult(X1,X2),X3),X3)) = mult(rd(mult(ld(X0,X0),mult(X1,X2)),X3),X3),
inference(forward_demodulation,[status(thm)],[f228,f431]) ).
fof(f433,plain,
! [X0,X1,X2,X3] : mult(ld(X0,X0),mult(rd(mult(X1,X2),X3),X3)) = mult(ld(X0,X0),mult(X1,mult(rd(X2,X3),X3))),
inference(forward_demodulation,[status(thm)],[f159,f432]) ).
fof(f441,plain,
! [X0,X1] : mult(ld(X0,X0),mult(X0,X1)) = mult(X0,X1),
inference(paramodulation,[status(thm)],[f24,f228]) ).
fof(f492,plain,
! [X0,X1,X2] : mult(ld(X0,X0),mult(rd(mult(X0,X1),X2),X2)) = mult(X0,mult(rd(X1,ld(X2,X2)),ld(X2,X2))),
inference(paramodulation,[status(thm)],[f155,f441]) ).
fof(f493,plain,
! [X0,X1,X2] : mult(ld(X0,X0),mult(X0,mult(rd(X1,X2),X2))) = mult(X0,mult(rd(X1,ld(X2,X2)),ld(X2,X2))),
inference(forward_demodulation,[status(thm)],[f433,f492]) ).
fof(f494,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)],[f441,f493]) ).
fof(f495,plain,
! [X0,X1,X2] : mult(X0,mult(rd(X1,X2),X2)) = mult(rd(mult(X0,X1),X2),X2),
inference(forward_demodulation,[status(thm)],[f155,f494]) ).
fof(f531,plain,
! [X0,X1,X2,X3] : mult(X0,mult(rd(X1,X2),X2)) = mult(mult(rd(X0,mult(rd(X1,ld(X3,X3)),ld(X3,X3))),mult(rd(X1,X3),X3)),mult(rd(X1,X2),X2)),
inference(backward_demodulation,[status(thm)],[f495,f406]) ).
fof(f599,plain,
! [X0,X1] : mult(ld(X0,X0),mult(rd(X0,X1),X1)) = mult(rd(X0,X1),X1),
inference(paramodulation,[status(thm)],[f32,f495]) ).
fof(f617,plain,
! [X0,X1] : mult(rd(X0,ld(X1,X1)),ld(X1,X1)) = mult(rd(X0,X1),X1),
inference(backward_demodulation,[status(thm)],[f599,f98]) ).
fof(f635,plain,
! [X0,X1,X2,X3] : mult(X0,mult(rd(X1,X2),X2)) = mult(mult(rd(X0,mult(rd(X1,X3),X3)),mult(rd(X1,X3),X3)),mult(rd(X1,X2),X2)),
inference(backward_demodulation,[status(thm)],[f617,f531]) ).
fof(f636,plain,
! [X0,X1,X2,X3] : mult(X0,mult(rd(X1,X2),X2)) = mult(mult(rd(X0,X1),mult(rd(X1,X3),X3)),mult(rd(X1,X2),X2)),
inference(forward_demodulation,[status(thm)],[f402,f635]) ).
fof(f1582,plain,
! [X0,X1,X2] : mult(rd(X0,X1),mult(rd(X1,X2),X2)) = mult(ld(X0,X0),mult(rd(X0,X2),X2)),
inference(paramodulation,[status(thm)],[f32,f404]) ).
fof(f1583,plain,
! [X0,X1,X2] : mult(rd(X0,X1),mult(rd(X1,X2),X2)) = mult(rd(X0,X2),X2),
inference(forward_demodulation,[status(thm)],[f599,f1582]) ).
fof(f1658,plain,
! [X0] : mult(rd(X0,X0),X0) = rd(ld(X0,X0),mult(rd(ld(X0,ld(X0,X0)),X0),X0)),
inference(backward_demodulation,[status(thm)],[f1583,f427]) ).
fof(f1659,plain,
! [X0] : mult(ld(X0,X0),X0) = rd(ld(X0,X0),mult(rd(ld(X0,ld(X0,X0)),X0),X0)),
inference(forward_demodulation,[status(thm)],[f30,f1658]) ).
fof(f1660,plain,
! [X0] : X0 = rd(ld(X0,X0),mult(rd(ld(X0,ld(X0,X0)),X0),X0)),
inference(forward_demodulation,[status(thm)],[f32,f1659]) ).
fof(f1666,plain,
! [X0,X1,X2,X3] : mult(X0,mult(rd(X1,X2),X2)) = mult(mult(rd(X0,X3),X3),mult(rd(X1,X2),X2)),
inference(backward_demodulation,[status(thm)],[f1583,f636]) ).
fof(f1722,plain,
! [X0,X1,X2,X3] : mult(X0,mult(rd(rd(X1,X2),X2),X2)) = mult(mult(rd(X0,X3),X3),rd(X1,X2)),
inference(paramodulation,[status(thm)],[f180,f1666]) ).
fof(f1723,plain,
! [X0,X1,X2,X3] : mult(X0,rd(X1,X2)) = mult(mult(rd(X0,X3),X3),rd(X1,X2)),
inference(forward_demodulation,[status(thm)],[f180,f1722]) ).
fof(f2318,plain,
! [X0,X1,X2] : mult(X0,rd(ld(X1,X1),mult(rd(ld(X1,ld(X1,X1)),X1),X1))) = mult(mult(rd(X0,X2),X2),X1),
inference(paramodulation,[status(thm)],[f1660,f1723]) ).
fof(f2319,plain,
! [X0,X1,X2] : mult(X0,X1) = mult(mult(rd(X0,X2),X2),X1),
inference(forward_demodulation,[status(thm)],[f1660,f2318]) ).
fof(f2339,plain,
mult(x3,x5) != mult(x3,x5),
inference(backward_demodulation,[status(thm)],[f2319,f23]) ).
fof(f2340,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f2339]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : GRP683-11 : TPTP v8.1.2. Released v8.1.0.
% 0.09/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.31 % Computer : n007.cluster.edu
% 0.09/0.31 % Model : x86_64 x86_64
% 0.09/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31 % Memory : 8042.1875MB
% 0.09/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31 % CPULimit : 300
% 0.09/0.31 % WCLimit : 300
% 0.09/0.31 % DateTime : Tue May 30 11:19:02 EDT 2023
% 0.16/0.31 % CPUTime :
% 0.16/0.32 % Drodi V3.5.1
% 0.16/0.64 % Refutation found
% 0.16/0.64 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.16/0.64 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/0.66 % Elapsed time: 0.341226 seconds
% 0.16/0.66 % CPU time: 2.080472 seconds
% 0.16/0.66 % Memory used: 36.159 MB
%------------------------------------------------------------------------------