TSTP Solution File: GRP682-11 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP682-11 : TPTP v8.1.2. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n005.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 0.50s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 8
% Syntax : Number of formulae : 112 ( 112 unt; 0 def)
% Number of atoms : 112 ( 111 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 8 ( 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 : 258 (; 258 !; 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,
ld(rd(x0,x1),mult(rd(x0,x1),x2)) != ld(x0,mult(x0,x2)),
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,
ld(rd(x0,x1),mult(rd(x0,x1),x2)) != ld(x0,mult(x0,x2)),
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(x0,x1),ld(rd(x0,x1),x2)) != ld(x0,mult(x0,x2)),
inference(forward_demodulation,[status(thm)],[f11,f16]) ).
fof(f24,plain,
mult(rd(x0,x1),ld(rd(x0,x1),x2)) != mult(x0,ld(x0,x2)),
inference(forward_demodulation,[status(thm)],[f11,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(f27,plain,
! [X0] : mult(rd(rd(X0,X0),X0),X0) = rd(X0,X0),
inference(paramodulation,[status(thm)],[f26,f12]) ).
fof(f28,plain,
! [X0] : mult(X0,ld(X0,ld(X0,X0))) = rd(X0,X0),
inference(forward_demodulation,[status(thm)],[f22,f27]) ).
fof(f29,plain,
! [X0] : mult(rd(X0,ld(X0,X0)),ld(X0,X0)) = rd(X0,ld(X0,X0)),
inference(paramodulation,[status(thm)],[f25,f12]) ).
fof(f35,plain,
! [X0] : mult(X0,ld(X0,ld(X0,X0))) = ld(X0,X0),
inference(paramodulation,[status(thm)],[f25,f11]) ).
fof(f36,plain,
! [X0] : rd(X0,X0) = ld(X0,X0),
inference(forward_demodulation,[status(thm)],[f28,f35]) ).
fof(f37,plain,
! [X0,X1] : mult(X0,ld(X0,ld(X1,X1))) = mult(rd(ld(X0,X0),X1),X1),
inference(backward_demodulation,[status(thm)],[f36,f22]) ).
fof(f38,plain,
! [X0] : mult(ld(X0,X0),X0) = X0,
inference(backward_demodulation,[status(thm)],[f36,f26]) ).
fof(f50,plain,
! [X0] : mult(ld(X0,X0),ld(ld(X0,X0),X0)) = ld(ld(X0,X0),X0),
inference(paramodulation,[status(thm)],[f38,f11]) ).
fof(f51,plain,
! [X0] : mult(rd(ld(X0,X0),X0),X0) = rd(X0,X0),
inference(paramodulation,[status(thm)],[f38,f12]) ).
fof(f52,plain,
! [X0] : mult(X0,ld(X0,ld(X0,X0))) = rd(X0,X0),
inference(forward_demodulation,[status(thm)],[f37,f51]) ).
fof(f53,plain,
! [X0] : mult(X0,ld(X0,ld(X0,X0))) = ld(X0,X0),
inference(forward_demodulation,[status(thm)],[f36,f52]) ).
fof(f54,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)],[f36,f37]) ).
fof(f55,plain,
! [X0] : mult(X0,ld(X0,ld(ld(X0,X0),ld(X0,X0)))) = ld(X0,X0),
inference(forward_demodulation,[status(thm)],[f38,f54]) ).
fof(f81,plain,
! [X0,X1] : ld(ld(mult(X0,X1),mult(X0,X1)),mult(X0,X1)) = mult(mult(mult(X0,X1),ld(mult(X0,X1),X0)),X1),
inference(paramodulation,[status(thm)],[f50,f18]) ).
fof(f82,plain,
! [X0,X1,X2,X3] : mult(mult(X0,ld(X0,X1)),ld(ld(X0,mult(X0,X1)),mult(X2,X3))) = mult(mult(X0,ld(X0,X2)),X3),
inference(paramodulation,[status(thm)],[f11,f18]) ).
fof(f83,plain,
! [X0,X1,X2,X3] : mult(mult(X0,ld(X0,X1)),ld(mult(X0,ld(X0,X1)),mult(X2,X3))) = mult(mult(X0,ld(X0,X2)),X3),
inference(forward_demodulation,[status(thm)],[f11,f82]) ).
fof(f94,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)],[f38,f18]) ).
fof(f103,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(f120,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(f121,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)],[f37,f120]) ).
fof(f167,plain,
! [X0,X1] : mult(ld(X0,X1),ld(ld(X0,X1),ld(X0,X0))) = mult(ld(X0,X0),ld(X0,X0)),
inference(paramodulation,[status(thm)],[f55,f94]) ).
fof(f168,plain,
! [X0,X1] : mult(ld(X0,X1),ld(ld(X0,X1),X0)) = mult(ld(X0,X0),X0),
inference(paramodulation,[status(thm)],[f53,f94]) ).
fof(f169,plain,
! [X0,X1] : mult(ld(X0,X1),ld(ld(X0,X1),X0)) = X0,
inference(forward_demodulation,[status(thm)],[f38,f168]) ).
fof(f188,plain,
! [X0] : X0 = ld(ld(X0,X0),X0),
inference(backward_demodulation,[status(thm)],[f169,f50]) ).
fof(f189,plain,
! [X0,X1] : mult(X0,X1) = mult(mult(mult(X0,X1),ld(mult(X0,X1),X0)),X1),
inference(backward_demodulation,[status(thm)],[f188,f81]) ).
fof(f374,plain,
! [X0,X1,X2,X3] : mult(rd(mult(X0,X1),rd(X2,X3)),rd(X2,X3)) = mult(mult(mult(X0,X1),ld(mult(X0,X1),X0)),mult(rd(X1,X3),X3)),
inference(paramodulation,[status(thm)],[f189,f20]) ).
fof(f375,plain,
! [X0,X1,X2] : mult(X0,mult(rd(X1,X2),X2)) = mult(mult(mult(X0,X1),ld(mult(X0,X1),X0)),mult(rd(X1,X2),X2)),
inference(forward_demodulation,[status(thm)],[f20,f374]) ).
fof(f404,plain,
! [X0,X1] : mult(ld(X0,X1),ld(ld(X0,X1),X0)) = mult(mult(mult(ld(X0,X1),ld(ld(X0,X1),X0)),ld(X0,ld(X0,X1))),ld(ld(X0,X1),X0)),
inference(paramodulation,[status(thm)],[f169,f189]) ).
fof(f405,plain,
! [X0,X1] : X0 = mult(mult(mult(ld(X0,X1),ld(ld(X0,X1),X0)),ld(X0,ld(X0,X1))),ld(ld(X0,X1),X0)),
inference(forward_demodulation,[status(thm)],[f169,f404]) ).
fof(f406,plain,
! [X0,X1] : X0 = mult(mult(X0,ld(X0,ld(X0,X1))),ld(ld(X0,X1),X0)),
inference(forward_demodulation,[status(thm)],[f169,f405]) ).
fof(f788,plain,
! [X0,X1,X2] : mult(X0,ld(mult(X0,ld(X0,X0)),mult(X1,X2))) = mult(mult(X0,ld(X0,X1)),X2),
inference(paramodulation,[status(thm)],[f25,f83]) ).
fof(f789,plain,
! [X0,X1,X2] : mult(X0,ld(X0,mult(X1,X2))) = mult(mult(X0,ld(X0,X1)),X2),
inference(forward_demodulation,[status(thm)],[f25,f788]) ).
fof(f881,plain,
! [X0,X1,X2,X3] : mult(mult(X0,ld(X0,X1)),ld(mult(X0,ld(X0,X1)),X2)) = mult(mult(X0,ld(X0,mult(X2,ld(X2,ld(X2,X3))))),ld(ld(X2,X3),X2)),
inference(paramodulation,[status(thm)],[f406,f83]) ).
fof(f882,plain,
! [X0,X1,X2,X3] : mult(X0,ld(X0,mult(X1,ld(mult(X0,ld(X0,X1)),X2)))) = mult(mult(X0,ld(X0,mult(X2,ld(X2,ld(X2,X3))))),ld(ld(X2,X3),X2)),
inference(forward_demodulation,[status(thm)],[f789,f881]) ).
fof(f883,plain,
! [X0,X1,X2,X3] : mult(X0,ld(X0,mult(X1,ld(mult(X0,ld(X0,X1)),X2)))) = mult(X0,ld(X0,mult(mult(X2,ld(X2,ld(X2,X3))),ld(ld(X2,X3),X2)))),
inference(forward_demodulation,[status(thm)],[f789,f882]) ).
fof(f884,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)],[f406,f883]) ).
fof(f1013,plain,
! [X0,X1,X2,X3] : mult(mult(X0,ld(X0,X1)),ld(mult(X0,ld(X0,X1)),ld(mult(X0,ld(X0,X1)),mult(X2,X3)))) = ld(mult(X0,ld(X0,X1)),mult(mult(X0,ld(X0,X2)),X3)),
inference(paramodulation,[status(thm)],[f83,f11]) ).
fof(f1014,plain,
! [X0,X1,X2,X3] : mult(X0,ld(X0,mult(X1,ld(mult(X0,ld(X0,X1)),ld(mult(X0,ld(X0,X1)),mult(X2,X3)))))) = ld(mult(X0,ld(X0,X1)),mult(mult(X0,ld(X0,X2)),X3)),
inference(forward_demodulation,[status(thm)],[f789,f1013]) ).
fof(f1015,plain,
! [X0,X1,X2,X3] : mult(X0,ld(X0,ld(mult(X0,ld(X0,X1)),mult(X2,X3)))) = ld(mult(X0,ld(X0,X1)),mult(mult(X0,ld(X0,X2)),X3)),
inference(forward_demodulation,[status(thm)],[f884,f1014]) ).
fof(f1016,plain,
! [X0,X1,X2,X3] : mult(X0,ld(X0,ld(mult(X0,ld(X0,X1)),mult(X2,X3)))) = ld(mult(X0,ld(X0,X1)),mult(X0,ld(X0,mult(X2,X3)))),
inference(forward_demodulation,[status(thm)],[f789,f1015]) ).
fof(f1050,plain,
! [X0,X1,X2] : mult(ld(X0,X1),ld(ld(X0,X1),X2)) = mult(X0,ld(X0,mult(ld(X2,X2),X2))),
inference(backward_demodulation,[status(thm)],[f789,f94]) ).
fof(f1051,plain,
! [X0,X1,X2] : mult(ld(X0,X1),ld(ld(X0,X1),X2)) = mult(X0,ld(X0,X2)),
inference(forward_demodulation,[status(thm)],[f38,f1050]) ).
fof(f1074,plain,
! [X0,X1,X2] : mult(X0,mult(rd(X1,X2),X2)) = mult(mult(X0,X1),ld(mult(X0,X1),mult(X0,mult(rd(X1,X2),X2)))),
inference(backward_demodulation,[status(thm)],[f789,f375]) ).
fof(f1224,plain,
! [X0] : mult(X0,ld(X0,ld(X0,X0))) = mult(ld(X0,X0),ld(X0,X0)),
inference(backward_demodulation,[status(thm)],[f1051,f167]) ).
fof(f1225,plain,
! [X0] : ld(X0,X0) = mult(ld(X0,X0),ld(X0,X0)),
inference(forward_demodulation,[status(thm)],[f53,f1224]) ).
fof(f1300,plain,
! [X0,X1] : mult(mult(rd(X0,ld(X1,X1)),rd(X1,X1)),rd(X1,X1)) = mult(X0,mult(rd(rd(X1,X1),X1),X1)),
inference(paramodulation,[status(thm)],[f36,f103]) ).
fof(f1301,plain,
! [X0,X1] : mult(mult(rd(X0,ld(X1,X1)),ld(X1,X1)),rd(X1,X1)) = mult(X0,mult(rd(rd(X1,X1),X1),X1)),
inference(forward_demodulation,[status(thm)],[f36,f1300]) ).
fof(f1302,plain,
! [X0,X1] : mult(mult(rd(X0,ld(X1,X1)),ld(X1,X1)),ld(X1,X1)) = mult(X0,mult(rd(rd(X1,X1),X1),X1)),
inference(forward_demodulation,[status(thm)],[f36,f1301]) ).
fof(f1303,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(forward_demodulation,[status(thm)],[f36,f1302]) ).
fof(f1304,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)],[f37,f1303]) ).
fof(f1305,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)],[f53,f1304]) ).
fof(f1362,plain,
! [X0] : mult(ld(X0,X0),ld(ld(X0,X0),ld(X0,X0))) = ld(ld(X0,X0),ld(X0,X0)),
inference(paramodulation,[status(thm)],[f1225,f11]) ).
fof(f1363,plain,
! [X0] : ld(X0,X0) = ld(ld(X0,X0),ld(X0,X0)),
inference(forward_demodulation,[status(thm)],[f25,f1362]) ).
fof(f1513,plain,
! [X0,X1] : mult(X0,ld(X0,mult(X0,X1))) = mult(X0,X1),
inference(paramodulation,[status(thm)],[f25,f789]) ).
fof(f1514,plain,
! [X0,X1] : mult(X0,mult(X0,ld(X0,X1))) = mult(X0,X1),
inference(forward_demodulation,[status(thm)],[f11,f1513]) ).
fof(f1543,plain,
! [X0,X1,X2,X3,X4] : mult(rd(mult(X0,ld(X0,mult(X1,X2))),rd(X3,X4)),rd(X3,X4)) = mult(mult(X0,ld(X0,X1)),mult(rd(X2,X4),X4)),
inference(paramodulation,[status(thm)],[f789,f20]) ).
fof(f1544,plain,
! [X0,X1,X2,X3] : mult(X0,mult(rd(ld(X0,mult(X1,X2)),X3),X3)) = mult(mult(X0,ld(X0,X1)),mult(rd(X2,X3),X3)),
inference(forward_demodulation,[status(thm)],[f20,f1543]) ).
fof(f1545,plain,
! [X0,X1,X2,X3] : mult(X0,mult(rd(ld(X0,mult(X1,X2)),X3),X3)) = mult(X0,ld(X0,mult(X1,mult(rd(X2,X3),X3)))),
inference(forward_demodulation,[status(thm)],[f789,f1544]) ).
fof(f1546,plain,
! [X0,X1,X2] : mult(mult(X0,ld(X0,X1)),ld(mult(X0,ld(X0,X1)),X2)) = ld(mult(X0,ld(X0,X1)),mult(X0,ld(X0,mult(X1,X2)))),
inference(paramodulation,[status(thm)],[f789,f11]) ).
fof(f1547,plain,
! [X0,X1,X2] : mult(X0,ld(X0,mult(X1,ld(mult(X0,ld(X0,X1)),X2)))) = ld(mult(X0,ld(X0,X1)),mult(X0,ld(X0,mult(X1,X2)))),
inference(forward_demodulation,[status(thm)],[f789,f1546]) ).
fof(f1548,plain,
! [X0,X1,X2] : mult(X0,ld(X0,X1)) = ld(mult(X0,ld(X0,X2)),mult(X0,ld(X0,mult(X2,X1)))),
inference(forward_demodulation,[status(thm)],[f884,f1547]) ).
fof(f1549,plain,
! [X0,X1,X2] : mult(X0,ld(X0,X1)) = mult(X0,ld(X0,ld(mult(X0,ld(X0,X2)),mult(X2,X1)))),
inference(forward_demodulation,[status(thm)],[f1016,f1548]) ).
fof(f1561,plain,
! [X0,X1,X2] : mult(rd(X0,rd(X1,X2)),rd(X1,X2)) = mult(X0,ld(X2,X2)),
inference(backward_demodulation,[status(thm)],[f1514,f121]) ).
fof(f1566,plain,
! [X0,X1,X2] : mult(X0,mult(rd(X1,X2),X2)) = mult(mult(X0,X1),mult(rd(ld(mult(X0,X1),mult(X0,X1)),X2),X2)),
inference(backward_demodulation,[status(thm)],[f1545,f1074]) ).
fof(f1567,plain,
! [X0,X1,X2] : mult(X0,mult(rd(X1,X2),X2)) = mult(mult(X0,X1),mult(mult(X0,X1),ld(mult(X0,X1),ld(X2,X2)))),
inference(forward_demodulation,[status(thm)],[f37,f1566]) ).
fof(f1568,plain,
! [X0,X1,X2] : mult(X0,mult(rd(X1,X2),X2)) = mult(mult(X0,X1),ld(X2,X2)),
inference(forward_demodulation,[status(thm)],[f1514,f1567]) ).
fof(f1607,plain,
! [X0,X1] : mult(rd(X0,ld(X1,X1)),mult(rd(ld(X1,X1),X1),X1)) = mult(X0,ld(X1,X1)),
inference(backward_demodulation,[status(thm)],[f1568,f1305]) ).
fof(f1608,plain,
! [X0,X1] : mult(rd(X0,ld(X1,X1)),mult(X1,ld(X1,ld(X1,X1)))) = mult(X0,ld(X1,X1)),
inference(forward_demodulation,[status(thm)],[f37,f1607]) ).
fof(f1609,plain,
! [X0,X1] : mult(rd(X0,ld(X1,X1)),ld(X1,X1)) = mult(X0,ld(X1,X1)),
inference(forward_demodulation,[status(thm)],[f53,f1608]) ).
fof(f1614,plain,
! [X0] : mult(X0,ld(X0,X0)) = rd(X0,ld(X0,X0)),
inference(backward_demodulation,[status(thm)],[f1609,f29]) ).
fof(f1615,plain,
! [X0] : X0 = rd(X0,ld(X0,X0)),
inference(forward_demodulation,[status(thm)],[f25,f1614]) ).
fof(f1938,plain,
! [X0,X1] : ld(X0,X1) = mult(X0,ld(X0,ld(X0,X1))),
inference(paramodulation,[status(thm)],[f25,f1051]) ).
fof(f1989,plain,
! [X0,X1,X2] : ld(mult(X0,ld(X0,X1)),X2) = mult(X0,ld(X0,mult(X1,ld(mult(X0,ld(X0,X1)),ld(mult(X0,ld(X0,X1)),X2))))),
inference(paramodulation,[status(thm)],[f789,f1938]) ).
fof(f1990,plain,
! [X0,X1,X2] : ld(mult(X0,ld(X0,X1)),X2) = mult(X0,ld(X0,ld(mult(X0,ld(X0,X1)),X2))),
inference(forward_demodulation,[status(thm)],[f884,f1989]) ).
fof(f2012,plain,
! [X0,X1,X2] : mult(X0,ld(X0,X1)) = ld(mult(X0,ld(X0,X2)),mult(X2,X1)),
inference(backward_demodulation,[status(thm)],[f1990,f1549]) ).
fof(f2105,plain,
! [X0,X1] : mult(rd(X0,X1),rd(X1,ld(X1,X1))) = mult(X0,ld(ld(X1,X1),ld(X1,X1))),
inference(paramodulation,[status(thm)],[f1615,f1561]) ).
fof(f2106,plain,
! [X0,X1] : mult(rd(X0,X1),X1) = mult(X0,ld(ld(X1,X1),ld(X1,X1))),
inference(forward_demodulation,[status(thm)],[f1615,f2105]) ).
fof(f2107,plain,
! [X0,X1] : mult(rd(X0,X1),X1) = mult(X0,ld(X1,X1)),
inference(forward_demodulation,[status(thm)],[f1363,f2106]) ).
fof(f2686,plain,
! [X0,X1,X2] : mult(X0,ld(X0,X1)) = ld(mult(X0,mult(X0,ld(X0,X2))),mult(mult(X0,X2),X1)),
inference(paramodulation,[status(thm)],[f11,f2012]) ).
fof(f2687,plain,
! [X0,X1,X2] : mult(X0,ld(X0,X1)) = ld(mult(X0,X2),mult(mult(X0,X2),X1)),
inference(forward_demodulation,[status(thm)],[f1514,f2686]) ).
fof(f2688,plain,
! [X0,X1,X2] : mult(X0,ld(X0,X1)) = mult(mult(X0,X2),ld(mult(X0,X2),X1)),
inference(forward_demodulation,[status(thm)],[f11,f2687]) ).
fof(f4334,plain,
! [X0,X1,X2] : mult(rd(X0,X1),ld(rd(X0,X1),X2)) = mult(mult(X0,ld(X1,X1)),ld(mult(rd(X0,X1),X1),X2)),
inference(paramodulation,[status(thm)],[f2107,f2688]) ).
fof(f4335,plain,
! [X0,X1,X2] : mult(rd(X0,X1),ld(rd(X0,X1),X2)) = mult(mult(X0,ld(X1,X1)),ld(mult(X0,ld(X1,X1)),X2)),
inference(forward_demodulation,[status(thm)],[f2107,f4334]) ).
fof(f4336,plain,
! [X0,X1,X2] : mult(rd(X0,X1),ld(rd(X0,X1),X2)) = mult(X0,ld(X0,X2)),
inference(forward_demodulation,[status(thm)],[f2688,f4335]) ).
fof(f4527,plain,
mult(x0,ld(x0,x2)) != mult(x0,ld(x0,x2)),
inference(backward_demodulation,[status(thm)],[f4336,f24]) ).
fof(f4528,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f4527]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GRP682-11 : TPTP v8.1.2. Released v8.1.0.
% 0.00/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.32 % Computer : n005.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue May 30 11:31:36 EDT 2023
% 0.11/0.33 % CPUTime :
% 0.11/0.33 % Drodi V3.5.1
% 0.16/0.50 % Refutation found
% 0.16/0.50 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.16/0.50 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/0.51 % Elapsed time: 0.185322 seconds
% 0.16/0.51 % CPU time: 0.950128 seconds
% 0.16/0.51 % Memory used: 17.633 MB
%------------------------------------------------------------------------------