TSTP Solution File: GRP696-1 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP696-1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n028.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 12:12:33 EDT 2023
% Result : Unsatisfiable 200.43s 25.54s
% Output : CNFRefutation 202.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 69
% Number of leaves : 12
% Syntax : Number of formulae : 177 ( 177 unt; 0 def)
% Number of atoms : 177 ( 176 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 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 : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 350 (; 350 !; 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] : mult(A,unit) = A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [A] : mult(unit,A) = A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [A,B] : mult(A,i(mult(B,A))) = i(B),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [A,B,C] : mult(A,mult(B,C)) = mult(rd(mult(A,B),A),mult(A,C)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [A,B,C] : mult(mult(A,B),C) = mult(mult(A,C),ld(C,mult(B,C))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [A] : mult(i(A),A) = unit,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [A] : mult(A,i(A)) = unit,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
mult(mult(mult(a,b),a),mult(a,c)) != mult(a,mult(mult(mult(b,a),a),c)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,plain,
! [X0,X1] : mult(X0,ld(X0,X1)) = X1,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f14,plain,
! [X0,X1] : ld(X0,mult(X0,X1)) = X1,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f15,plain,
! [X0,X1] : mult(rd(X0,X1),X1) = X0,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f16,plain,
! [X0,X1] : rd(mult(X0,X1),X1) = X0,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f17,plain,
! [X0] : mult(X0,unit) = X0,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f18,plain,
! [X0] : mult(unit,X0) = X0,
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f19,plain,
! [X0,X1] : mult(X0,i(mult(X1,X0))) = i(X1),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f20,plain,
! [X0,X1,X2] : mult(X0,mult(X1,X2)) = mult(rd(mult(X0,X1),X0),mult(X0,X2)),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f21,plain,
! [X0,X1,X2] : mult(mult(X0,X1),X2) = mult(mult(X0,X2),ld(X2,mult(X1,X2))),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f22,plain,
! [X0] : mult(i(X0),X0) = unit,
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f23,plain,
! [X0] : mult(X0,i(X0)) = unit,
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f24,plain,
mult(mult(mult(a,b),a),mult(a,c)) != mult(a,mult(mult(mult(b,a),a),c)),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f32,plain,
! [X0] : ld(X0,unit) = i(X0),
inference(paramodulation,[status(thm)],[f23,f14]) ).
fof(f41,plain,
! [X0,X1] : ld(rd(X0,X1),X0) = X1,
inference(paramodulation,[status(thm)],[f15,f14]) ).
fof(f44,plain,
! [X0] : rd(X0,X0) = unit,
inference(paramodulation,[status(thm)],[f18,f16]) ).
fof(f45,plain,
! [X0] : rd(unit,i(X0)) = X0,
inference(paramodulation,[status(thm)],[f23,f16]) ).
fof(f46,plain,
! [X0,X1] : rd(X0,ld(X1,X0)) = X1,
inference(paramodulation,[status(thm)],[f13,f16]) ).
fof(f50,plain,
! [X0,X1] : mult(X0,i(X1)) = i(rd(X1,X0)),
inference(paramodulation,[status(thm)],[f15,f19]) ).
fof(f60,plain,
! [X0,X1] : ld(X0,i(X1)) = i(mult(X1,X0)),
inference(paramodulation,[status(thm)],[f19,f14]) ).
fof(f75,plain,
! [X0,X1] : mult(mult(X0,X1),ld(X1,i(X0))) = unit,
inference(paramodulation,[status(thm)],[f60,f23]) ).
fof(f117,plain,
! [X0,X1,X2] : mult(X0,mult(ld(X0,X1),X2)) = mult(rd(X1,X0),mult(X0,X2)),
inference(paramodulation,[status(thm)],[f13,f20]) ).
fof(f129,plain,
! [X0,X1] : mult(X0,mult(X1,i(X0))) = mult(rd(mult(X0,X1),X0),unit),
inference(paramodulation,[status(thm)],[f23,f20]) ).
fof(f130,plain,
! [X0,X1] : mult(X0,mult(X1,i(X0))) = rd(mult(X0,X1),X0),
inference(forward_demodulation,[status(thm)],[f17,f129]) ).
fof(f141,plain,
! [X0,X1,X2] : rd(mult(X0,mult(X1,X2)),mult(X0,X2)) = rd(mult(X0,X1),X0),
inference(paramodulation,[status(thm)],[f20,f16]) ).
fof(f161,plain,
! [X0,X1] : mult(X0,X1) = rd(mult(X0,rd(X1,i(X0))),X0),
inference(paramodulation,[status(thm)],[f15,f130]) ).
fof(f181,plain,
! [X0,X1] : rd(rd(mult(X0,X1),X0),mult(X1,i(X0))) = X0,
inference(paramodulation,[status(thm)],[f130,f16]) ).
fof(f210,plain,
! [X0,X1] : mult(mult(X0,X1),X0) = mult(X0,rd(X1,i(X0))),
inference(paramodulation,[status(thm)],[f161,f15]) ).
fof(f237,plain,
! [X0,X1] : ld(X0,mult(mult(X0,X1),X0)) = rd(X1,i(X0)),
inference(paramodulation,[status(thm)],[f210,f14]) ).
fof(f285,plain,
! [X0] : rd(rd(unit,i(X0)),mult(X0,i(i(X0)))) = i(X0),
inference(paramodulation,[status(thm)],[f22,f181]) ).
fof(f286,plain,
! [X0] : rd(X0,mult(X0,i(i(X0)))) = i(X0),
inference(forward_demodulation,[status(thm)],[f45,f285]) ).
fof(f291,plain,
! [X0] : rd(unit,X0) = i(X0),
inference(paramodulation,[status(thm)],[f22,f16]) ).
fof(f292,plain,
! [X0] : ld(i(X0),unit) = X0,
inference(paramodulation,[status(thm)],[f22,f14]) ).
fof(f293,plain,
! [X0] : i(i(X0)) = X0,
inference(forward_demodulation,[status(thm)],[f32,f292]) ).
fof(f300,plain,
! [X0] : rd(X0,mult(X0,X0)) = i(X0),
inference(backward_demodulation,[status(thm)],[f293,f286]) ).
fof(f304,plain,
! [X0,X1] : mult(mult(i(X0),X1),X0) = mult(unit,ld(X0,mult(X1,X0))),
inference(paramodulation,[status(thm)],[f22,f21]) ).
fof(f305,plain,
! [X0,X1] : mult(mult(i(X0),X1),X0) = ld(X0,mult(X1,X0)),
inference(forward_demodulation,[status(thm)],[f18,f304]) ).
fof(f309,plain,
! [X0,X1,X2] : mult(mult(rd(X0,X1),X2),X1) = mult(X0,ld(X1,mult(X2,X1))),
inference(paramodulation,[status(thm)],[f15,f21]) ).
fof(f360,plain,
! [X0,X1] : mult(mult(i(X0),X1),ld(X1,X0)) = unit,
inference(paramodulation,[status(thm)],[f293,f75]) ).
fof(f411,plain,
! [X0,X1] : mult(mult(i(mult(X0,X1)),X0),X1) = unit,
inference(paramodulation,[status(thm)],[f21,f360]) ).
fof(f412,plain,
! [X0,X1] : mult(mult(ld(X0,i(X1)),X1),X0) = unit,
inference(forward_demodulation,[status(thm)],[f60,f411]) ).
fof(f451,plain,
! [X0,X1] : rd(rd(unit,mult(i(X0),X1)),mult(ld(X1,X0),i(mult(i(X0),X1)))) = mult(i(X0),X1),
inference(paramodulation,[status(thm)],[f360,f181]) ).
fof(f452,plain,
! [X0,X1] : rd(i(mult(i(X0),X1)),mult(ld(X1,X0),i(mult(i(X0),X1)))) = mult(i(X0),X1),
inference(forward_demodulation,[status(thm)],[f291,f451]) ).
fof(f453,plain,
! [X0,X1] : rd(ld(X0,i(i(X1))),mult(ld(X0,X1),i(mult(i(X1),X0)))) = mult(i(X1),X0),
inference(forward_demodulation,[status(thm)],[f60,f452]) ).
fof(f454,plain,
! [X0,X1] : rd(ld(X0,X1),mult(ld(X0,X1),i(mult(i(X1),X0)))) = mult(i(X1),X0),
inference(forward_demodulation,[status(thm)],[f293,f453]) ).
fof(f455,plain,
! [X0,X1] : rd(ld(X0,X1),mult(ld(X0,X1),ld(X0,i(i(X1))))) = mult(i(X1),X0),
inference(forward_demodulation,[status(thm)],[f60,f454]) ).
fof(f456,plain,
! [X0,X1] : rd(ld(X0,X1),mult(ld(X0,X1),ld(X0,X1))) = mult(i(X1),X0),
inference(forward_demodulation,[status(thm)],[f293,f455]) ).
fof(f457,plain,
! [X0,X1] : i(ld(X0,X1)) = mult(i(X1),X0),
inference(forward_demodulation,[status(thm)],[f300,f456]) ).
fof(f509,plain,
! [X0,X1] : rd(rd(unit,mult(ld(X0,i(X1)),X1)),mult(X0,i(mult(ld(X0,i(X1)),X1)))) = mult(ld(X0,i(X1)),X1),
inference(paramodulation,[status(thm)],[f412,f181]) ).
fof(f510,plain,
! [X0,X1] : rd(i(mult(ld(X0,i(X1)),X1)),mult(X0,i(mult(ld(X0,i(X1)),X1)))) = mult(ld(X0,i(X1)),X1),
inference(forward_demodulation,[status(thm)],[f291,f509]) ).
fof(f511,plain,
! [X0,X1] : rd(ld(X0,i(ld(X1,i(X0)))),mult(X1,i(mult(ld(X1,i(X0)),X0)))) = mult(ld(X1,i(X0)),X0),
inference(forward_demodulation,[status(thm)],[f60,f510]) ).
fof(f512,plain,
! [X0,X1] : rd(ld(X0,mult(i(i(X0)),X1)),mult(X1,i(mult(ld(X1,i(X0)),X0)))) = mult(ld(X1,i(X0)),X0),
inference(forward_demodulation,[status(thm)],[f457,f511]) ).
fof(f513,plain,
! [X0,X1] : rd(ld(X0,mult(X0,X1)),mult(X1,i(mult(ld(X1,i(X0)),X0)))) = mult(ld(X1,i(X0)),X0),
inference(forward_demodulation,[status(thm)],[f293,f512]) ).
fof(f514,plain,
! [X0,X1] : rd(X0,mult(X0,i(mult(ld(X0,i(X1)),X1)))) = mult(ld(X0,i(X1)),X1),
inference(forward_demodulation,[status(thm)],[f14,f513]) ).
fof(f515,plain,
! [X0,X1] : rd(X0,mult(X0,ld(X1,i(ld(X0,i(X1)))))) = mult(ld(X0,i(X1)),X1),
inference(forward_demodulation,[status(thm)],[f60,f514]) ).
fof(f516,plain,
! [X0,X1] : rd(X0,mult(X0,ld(X1,mult(i(i(X1)),X0)))) = mult(ld(X0,i(X1)),X1),
inference(forward_demodulation,[status(thm)],[f457,f515]) ).
fof(f517,plain,
! [X0,X1] : rd(X0,mult(X0,ld(X1,mult(X1,X0)))) = mult(ld(X0,i(X1)),X1),
inference(forward_demodulation,[status(thm)],[f293,f516]) ).
fof(f518,plain,
! [X0,X1] : rd(X0,mult(X0,X0)) = mult(ld(X0,i(X1)),X1),
inference(forward_demodulation,[status(thm)],[f14,f517]) ).
fof(f519,plain,
! [X0,X1] : i(X0) = mult(ld(X0,i(X1)),X1),
inference(forward_demodulation,[status(thm)],[f300,f518]) ).
fof(f560,plain,
! [X0,X1] : mult(X0,i(X1)) = rd(mult(X0,ld(X1,i(i(X0)))),X0),
inference(paramodulation,[status(thm)],[f519,f130]) ).
fof(f561,plain,
! [X0,X1] : mult(X0,i(X1)) = rd(mult(X0,ld(X1,X0)),X0),
inference(forward_demodulation,[status(thm)],[f293,f560]) ).
fof(f577,plain,
! [X0,X1] : rd(i(X0),X1) = ld(X0,i(X1)),
inference(paramodulation,[status(thm)],[f519,f16]) ).
fof(f594,plain,
! [X0,X1] : rd(X0,X1) = ld(i(X0),i(X1)),
inference(paramodulation,[status(thm)],[f293,f577]) ).
fof(f602,plain,
! [X0,X1] : mult(mult(X0,i(X1)),X0) = mult(X0,ld(X1,i(i(X0)))),
inference(paramodulation,[status(thm)],[f577,f210]) ).
fof(f603,plain,
! [X0,X1] : mult(mult(X0,i(X1)),X0) = mult(X0,ld(X1,X0)),
inference(forward_demodulation,[status(thm)],[f293,f602]) ).
fof(f645,plain,
! [X0,X1] : ld(mult(X0,i(X1)),mult(X0,ld(X1,X0))) = X0,
inference(paramodulation,[status(thm)],[f561,f41]) ).
fof(f685,plain,
! [X0,X1] : mult(mult(X0,X1),X0) = mult(X0,ld(i(X1),X0)),
inference(paramodulation,[status(thm)],[f293,f603]) ).
fof(f740,plain,
! [X0,X1] : mult(X0,X1) = ld(X1,mult(ld(i(X1),X0),X1)),
inference(paramodulation,[status(thm)],[f13,f305]) ).
fof(f911,plain,
! [X0,X1,X2] : mult(mult(X0,mult(X1,X2)),X0) = mult(X0,ld(ld(X2,i(X1)),X0)),
inference(paramodulation,[status(thm)],[f60,f685]) ).
fof(f947,plain,
! [X0,X1] : ld(X0,mult(mult(X0,X1),X0)) = ld(i(X1),X0),
inference(paramodulation,[status(thm)],[f685,f14]) ).
fof(f948,plain,
! [X0,X1] : rd(X0,i(X1)) = ld(i(X0),X1),
inference(forward_demodulation,[status(thm)],[f237,f947]) ).
fof(f988,plain,
! [X0,X1,X2] : rd(X0,ld(X1,i(X2))) = ld(i(X0),mult(X2,X1)),
inference(paramodulation,[status(thm)],[f60,f948]) ).
fof(f1008,plain,
! [X0,X1] : ld(ld(i(X0),X1),X0) = i(X1),
inference(paramodulation,[status(thm)],[f948,f41]) ).
fof(f1135,plain,
! [X0,X1] : mult(X0,mult(X1,X0)) = mult(ld(i(X0),X1),X0),
inference(paramodulation,[status(thm)],[f740,f13]) ).
fof(f1182,plain,
! [X0,X1] : mult(mult(X0,i(X1)),i(rd(mult(X1,X0),X1))) = i(X1),
inference(paramodulation,[status(thm)],[f181,f50]) ).
fof(f1183,plain,
! [X0,X1] : mult(mult(X0,i(X1)),mult(X1,i(mult(X1,X0)))) = i(X1),
inference(forward_demodulation,[status(thm)],[f50,f1182]) ).
fof(f1184,plain,
! [X0,X1] : mult(mult(X0,i(X1)),mult(X1,ld(X0,i(X1)))) = i(X1),
inference(forward_demodulation,[status(thm)],[f60,f1183]) ).
fof(f1201,plain,
! [X0,X1,X2] : mult(mult(X0,rd(X1,X2)),X0) = mult(X0,ld(mult(X2,i(X1)),X0)),
inference(paramodulation,[status(thm)],[f50,f685]) ).
fof(f1205,plain,
! [X0,X1,X2] : rd(mult(X0,i(X1)),X2) = ld(rd(X1,X0),i(X2)),
inference(paramodulation,[status(thm)],[f50,f577]) ).
fof(f1206,plain,
! [X0,X1,X2] : i(X0) = mult(ld(X0,mult(X1,i(X2))),rd(X2,X1)),
inference(paramodulation,[status(thm)],[f50,f519]) ).
fof(f1354,plain,
! [X0,X1,X2] : i(X0) = mult(ld(X0,mult(X1,X2)),rd(i(X2),X1)),
inference(paramodulation,[status(thm)],[f293,f1206]) ).
fof(f1355,plain,
! [X0,X1,X2] : i(X0) = mult(ld(X0,mult(X1,X2)),ld(X2,i(X1))),
inference(forward_demodulation,[status(thm)],[f577,f1354]) ).
fof(f1496,plain,
! [X0,X1,X2] : i(X0) = mult(ld(X0,mult(i(X1),X2)),ld(X2,X1)),
inference(paramodulation,[status(thm)],[f293,f1355]) ).
fof(f2117,plain,
! [X0,X1] : mult(mult(X0,X1),mult(i(X1),ld(X0,i(i(X1))))) = i(i(X1)),
inference(paramodulation,[status(thm)],[f293,f1184]) ).
fof(f2118,plain,
! [X0,X1] : mult(mult(X0,X1),mult(i(X1),ld(X0,X1))) = i(i(X1)),
inference(forward_demodulation,[status(thm)],[f293,f2117]) ).
fof(f2119,plain,
! [X0,X1] : mult(mult(X0,X1),mult(i(X1),ld(X0,X1))) = X1,
inference(forward_demodulation,[status(thm)],[f293,f2118]) ).
fof(f2274,plain,
! [X0,X1] : mult(mult(rd(X0,X1),X0),mult(i(X0),X1)) = X0,
inference(paramodulation,[status(thm)],[f41,f2119]) ).
fof(f2304,plain,
! [X0,X1] : ld(mult(X0,X1),X1) = mult(i(X1),ld(X0,X1)),
inference(paramodulation,[status(thm)],[f2119,f14]) ).
fof(f2380,plain,
! [X0,X1,X2] : mult(X0,mult(ld(X0,mult(X1,X0)),X2)) = mult(X1,mult(X0,X2)),
inference(paramodulation,[status(thm)],[f16,f117]) ).
fof(f2476,plain,
! [X0,X1] : ld(mult(rd(X0,X1),X0),X0) = mult(i(X0),X1),
inference(paramodulation,[status(thm)],[f41,f2304]) ).
fof(f2646,plain,
! [X0,X1] : mult(X0,i(mult(rd(X0,X1),X0))) = rd(mult(X0,mult(i(X0),X1)),X0),
inference(paramodulation,[status(thm)],[f2476,f561]) ).
fof(f2647,plain,
! [X0,X1] : mult(X0,ld(X0,i(rd(X0,X1)))) = rd(mult(X0,mult(i(X0),X1)),X0),
inference(forward_demodulation,[status(thm)],[f60,f2646]) ).
fof(f2648,plain,
! [X0,X1] : i(rd(X0,X1)) = rd(mult(X0,mult(i(X0),X1)),X0),
inference(forward_demodulation,[status(thm)],[f13,f2647]) ).
fof(f2649,plain,
! [X0,X1] : mult(X0,i(X1)) = rd(mult(X1,mult(i(X1),X0)),X1),
inference(forward_demodulation,[status(thm)],[f50,f2648]) ).
fof(f4248,plain,
! [X0,X1] : rd(mult(X0,unit),mult(X0,X1)) = rd(mult(X0,i(X1)),X0),
inference(paramodulation,[status(thm)],[f22,f141]) ).
fof(f4249,plain,
! [X0,X1] : rd(X0,mult(X0,X1)) = rd(mult(X0,i(X1)),X0),
inference(forward_demodulation,[status(thm)],[f17,f4248]) ).
fof(f4250,plain,
! [X0,X1] : rd(X0,mult(X0,X1)) = ld(rd(X1,X0),i(X0)),
inference(forward_demodulation,[status(thm)],[f1205,f4249]) ).
fof(f4258,plain,
! [X0,X1,X2] : rd(mult(X0,unit),mult(X0,ld(X1,X2))) = rd(mult(X0,mult(i(X2),X1)),X0),
inference(paramodulation,[status(thm)],[f360,f141]) ).
fof(f4259,plain,
! [X0,X1,X2] : rd(X0,mult(X0,ld(X1,X2))) = rd(mult(X0,mult(i(X2),X1)),X0),
inference(forward_demodulation,[status(thm)],[f17,f4258]) ).
fof(f4284,plain,
! [X0,X1,X2] : rd(mult(X0,X1),mult(X0,X2)) = rd(mult(X0,rd(X1,X2)),X0),
inference(paramodulation,[status(thm)],[f15,f141]) ).
fof(f4449,plain,
! [X0,X1] : mult(X0,i(X1)) = rd(X1,mult(X1,ld(X0,X1))),
inference(backward_demodulation,[status(thm)],[f4259,f2649]) ).
fof(f4580,plain,
! [X0,X1] : ld(mult(X0,i(X1)),X1) = mult(X1,ld(X0,X1)),
inference(paramodulation,[status(thm)],[f4449,f41]) ).
fof(f4600,plain,
! [X0,X1] : ld(i(X0),X1) = mult(X1,ld(ld(X0,i(i(X1))),X1)),
inference(paramodulation,[status(thm)],[f519,f4580]) ).
fof(f4601,plain,
! [X0,X1] : ld(i(X0),X1) = mult(mult(X1,mult(i(X1),X0)),X1),
inference(forward_demodulation,[status(thm)],[f911,f4600]) ).
fof(f4607,plain,
! [X0,X1] : ld(ld(i(X0),mult(X1,i(X0))),X0) = mult(X0,ld(mult(i(i(X0)),X1),X0)),
inference(paramodulation,[status(thm)],[f305,f4580]) ).
fof(f4608,plain,
! [X0,X1] : i(mult(X0,i(X1))) = mult(X1,ld(mult(i(i(X1)),X0),X1)),
inference(forward_demodulation,[status(thm)],[f1008,f4607]) ).
fof(f4609,plain,
! [X0,X1] : ld(i(X0),i(X1)) = mult(X0,ld(mult(i(i(X0)),X1),X0)),
inference(forward_demodulation,[status(thm)],[f60,f4608]) ).
fof(f4610,plain,
! [X0,X1] : rd(X0,X1) = mult(X0,ld(mult(i(i(X0)),X1),X0)),
inference(forward_demodulation,[status(thm)],[f594,f4609]) ).
fof(f4611,plain,
! [X0,X1] : rd(X0,X1) = mult(X0,ld(mult(X0,X1),X0)),
inference(forward_demodulation,[status(thm)],[f293,f4610]) ).
fof(f4622,plain,
! [X0,X1] : ld(mult(i(X0),ld(X1,i(X0))),X0) = mult(X0,ld(mult(i(X0),i(X1)),X0)),
inference(paramodulation,[status(thm)],[f603,f4580]) ).
fof(f4623,plain,
! [X0,X1] : ld(mult(i(X0),ld(X1,i(X0))),X0) = mult(mult(X0,rd(X1,i(X0))),X0),
inference(forward_demodulation,[status(thm)],[f1201,f4622]) ).
fof(f4624,plain,
! [X0,X1] : ld(mult(i(X0),ld(X1,i(X0))),X0) = mult(mult(X0,ld(i(X1),X0)),X0),
inference(forward_demodulation,[status(thm)],[f948,f4623]) ).
fof(f4625,plain,
! [X0,X1] : ld(mult(i(X0),ld(X1,i(X0))),X0) = mult(mult(mult(X0,X1),X0),X0),
inference(forward_demodulation,[status(thm)],[f685,f4624]) ).
fof(f4648,plain,
! [X0,X1] : ld(mult(X0,X1),i(X1)) = mult(i(X1),ld(X0,i(X1))),
inference(paramodulation,[status(thm)],[f293,f4580]) ).
fof(f4727,plain,
! [X0,X1] : ld(ld(mult(X0,X1),i(X1)),X1) = mult(mult(mult(X1,X0),X1),X1),
inference(backward_demodulation,[status(thm)],[f4648,f4625]) ).
fof(f4823,plain,
! [X0,X1] : rd(mult(X0,i(X1)),X0) = mult(mult(X0,i(X1)),ld(mult(X0,ld(X1,X0)),mult(X0,i(X1)))),
inference(paramodulation,[status(thm)],[f603,f4611]) ).
fof(f4824,plain,
! [X0,X1] : ld(rd(X0,X1),i(X1)) = mult(mult(X1,i(X0)),ld(mult(X1,ld(X0,X1)),mult(X1,i(X0)))),
inference(forward_demodulation,[status(thm)],[f1205,f4823]) ).
fof(f4825,plain,
! [X0,X1] : rd(X0,mult(X0,X1)) = mult(mult(X0,i(X1)),ld(mult(X0,ld(X1,X0)),mult(X0,i(X1)))),
inference(forward_demodulation,[status(thm)],[f4250,f4824]) ).
fof(f4862,plain,
! [X0,X1] : mult(mult(rd(X0,ld(mult(i(X0),X1),i(X0))),X0),rd(i(X0),X1)) = X0,
inference(paramodulation,[status(thm)],[f4611,f2274]) ).
fof(f4863,plain,
! [X0,X1] : mult(mult(ld(i(X0),mult(X0,mult(i(X0),X1))),X0),rd(i(X0),X1)) = X0,
inference(forward_demodulation,[status(thm)],[f988,f4862]) ).
fof(f4864,plain,
! [X0,X1] : mult(mult(X0,mult(mult(X0,mult(i(X0),X1)),X0)),rd(i(X0),X1)) = X0,
inference(forward_demodulation,[status(thm)],[f1135,f4863]) ).
fof(f4865,plain,
! [X0,X1] : mult(mult(X0,ld(i(X1),X0)),rd(i(X0),X1)) = X0,
inference(forward_demodulation,[status(thm)],[f4601,f4864]) ).
fof(f4866,plain,
! [X0,X1] : mult(mult(mult(X0,X1),X0),rd(i(X0),X1)) = X0,
inference(forward_demodulation,[status(thm)],[f685,f4865]) ).
fof(f4867,plain,
! [X0,X1] : mult(mult(mult(X0,X1),X0),ld(X0,i(X1))) = X0,
inference(forward_demodulation,[status(thm)],[f577,f4866]) ).
fof(f4896,plain,
! [X0,X1] : mult(mult(X0,X1),i(X0)) = rd(X0,rd(X0,X1)),
inference(paramodulation,[status(thm)],[f4611,f4449]) ).
fof(f4926,plain,
! [X0,X1] : ld(X0,rd(X0,X1)) = ld(mult(X0,X1),X0),
inference(paramodulation,[status(thm)],[f4611,f14]) ).
fof(f5970,plain,
! [X0,X1] : mult(mult(X0,ld(X1,X0)),ld(X0,i(i(X1)))) = X0,
inference(paramodulation,[status(thm)],[f603,f4867]) ).
fof(f5971,plain,
! [X0,X1] : mult(mult(X0,ld(X1,X0)),ld(X0,X1)) = X0,
inference(forward_demodulation,[status(thm)],[f293,f5970]) ).
fof(f6222,plain,
! [X0,X1] : mult(mult(mult(X0,i(X1)),ld(mult(X0,ld(X1,X0)),mult(X0,i(X1)))),X0) = mult(X0,i(X1)),
inference(paramodulation,[status(thm)],[f645,f5971]) ).
fof(f6223,plain,
! [X0,X1] : mult(rd(X0,mult(X0,X1)),X0) = mult(X0,i(X1)),
inference(forward_demodulation,[status(thm)],[f4825,f6222]) ).
fof(f7429,plain,
! [X0,X1] : mult(rd(X0,X1),X0) = mult(X0,i(ld(X0,X1))),
inference(paramodulation,[status(thm)],[f13,f6223]) ).
fof(f7430,plain,
! [X0,X1] : mult(rd(X0,X1),X0) = mult(X0,mult(i(X1),X0)),
inference(forward_demodulation,[status(thm)],[f457,f7429]) ).
fof(f7561,plain,
! [X0,X1] : ld(rd(X0,mult(X0,X1)),mult(X0,i(X1))) = X0,
inference(paramodulation,[status(thm)],[f6223,f14]) ).
fof(f7750,plain,
! [X0,X1] : rd(mult(rd(X0,X1),X0),mult(X0,X0)) = rd(mult(X0,i(X1)),X0),
inference(paramodulation,[status(thm)],[f7430,f141]) ).
fof(f7751,plain,
! [X0,X1] : rd(mult(rd(X0,X1),X0),mult(X0,X0)) = ld(rd(X1,X0),i(X0)),
inference(forward_demodulation,[status(thm)],[f1205,f7750]) ).
fof(f7752,plain,
! [X0,X1] : rd(mult(rd(X0,X1),X0),mult(X0,X0)) = rd(X0,mult(X0,X1)),
inference(forward_demodulation,[status(thm)],[f4250,f7751]) ).
fof(f8375,plain,
! [X0,X1] : i(rd(i(X0),mult(i(X0),X1))) = mult(i(X0),ld(i(X1),X0)),
inference(paramodulation,[status(thm)],[f7561,f1496]) ).
fof(f8376,plain,
! [X0,X1] : mult(mult(i(X0),X1),i(i(X0))) = mult(i(X0),ld(i(X1),X0)),
inference(forward_demodulation,[status(thm)],[f50,f8375]) ).
fof(f8377,plain,
! [X0,X1] : rd(i(X0),rd(i(X0),X1)) = mult(i(X0),ld(i(X1),X0)),
inference(forward_demodulation,[status(thm)],[f4896,f8376]) ).
fof(f8378,plain,
! [X0,X1] : ld(X0,i(rd(i(X0),X1))) = mult(i(X0),ld(i(X1),X0)),
inference(forward_demodulation,[status(thm)],[f577,f8377]) ).
fof(f8379,plain,
! [X0,X1] : ld(X0,mult(X1,i(i(X0)))) = mult(i(X0),ld(i(X1),X0)),
inference(forward_demodulation,[status(thm)],[f50,f8378]) ).
fof(f8380,plain,
! [X0,X1] : ld(X0,mult(X1,X0)) = mult(i(X0),ld(i(X1),X0)),
inference(forward_demodulation,[status(thm)],[f293,f8379]) ).
fof(f8381,plain,
! [X0,X1] : ld(X0,mult(X1,X0)) = ld(mult(i(X1),X0),X0),
inference(forward_demodulation,[status(thm)],[f2304,f8380]) ).
fof(f8654,plain,
! [X0,X1] : ld(X0,mult(i(X1),X0)) = ld(mult(X1,X0),X0),
inference(paramodulation,[status(thm)],[f293,f8381]) ).
fof(f16920,plain,
! [X0,X1] : rd(mult(X0,X1),mult(X1,X1)) = rd(X1,mult(X1,ld(X0,X1))),
inference(paramodulation,[status(thm)],[f46,f7752]) ).
fof(f16921,plain,
! [X0,X1] : rd(mult(X0,X1),mult(X1,X1)) = mult(X0,i(X1)),
inference(forward_demodulation,[status(thm)],[f4449,f16920]) ).
fof(f17341,plain,
! [X0,X1] : rd(X0,mult(X1,X1)) = mult(rd(X0,X1),i(X1)),
inference(paramodulation,[status(thm)],[f15,f16921]) ).
fof(f17832,plain,
! [X0,X1] : mult(rd(X0,mult(X1,X1)),X1) = mult(X0,ld(X1,mult(i(X1),X1))),
inference(paramodulation,[status(thm)],[f17341,f309]) ).
fof(f17833,plain,
! [X0,X1] : mult(rd(X0,mult(X1,X1)),X1) = mult(X0,ld(mult(X1,X1),X1)),
inference(forward_demodulation,[status(thm)],[f8654,f17832]) ).
fof(f17834,plain,
! [X0,X1] : mult(rd(X0,mult(X1,X1)),X1) = mult(X0,ld(X1,rd(X1,X1))),
inference(forward_demodulation,[status(thm)],[f4926,f17833]) ).
fof(f17835,plain,
! [X0,X1] : mult(rd(X0,mult(X1,X1)),X1) = mult(X0,ld(X1,unit)),
inference(forward_demodulation,[status(thm)],[f44,f17834]) ).
fof(f17836,plain,
! [X0,X1] : mult(rd(X0,mult(X1,X1)),X1) = mult(X0,i(X1)),
inference(forward_demodulation,[status(thm)],[f32,f17835]) ).
fof(f18968,plain,
! [X0,X1] : mult(X0,mult(X1,i(i(X0)))) = rd(mult(X0,rd(X1,mult(i(X0),i(X0)))),X0),
inference(paramodulation,[status(thm)],[f17836,f130]) ).
fof(f18969,plain,
! [X0,X1] : mult(X0,mult(X1,X0)) = rd(mult(X0,rd(X1,mult(i(X0),i(X0)))),X0),
inference(forward_demodulation,[status(thm)],[f293,f18968]) ).
fof(f18970,plain,
! [X0,X1] : mult(X0,mult(X1,X0)) = rd(mult(X0,X1),mult(X0,mult(i(X0),i(X0)))),
inference(forward_demodulation,[status(thm)],[f4284,f18969]) ).
fof(f18971,plain,
! [X0,X1] : mult(X0,mult(X1,X0)) = rd(mult(X0,X1),rd(mult(X0,i(X0)),X0)),
inference(forward_demodulation,[status(thm)],[f130,f18970]) ).
fof(f18972,plain,
! [X0,X1] : mult(X0,mult(X1,X0)) = rd(mult(X0,X1),ld(rd(X0,X0),i(X0))),
inference(forward_demodulation,[status(thm)],[f1205,f18971]) ).
fof(f18973,plain,
! [X0,X1] : mult(X0,mult(X1,X0)) = ld(i(mult(X0,X1)),mult(X0,rd(X0,X0))),
inference(forward_demodulation,[status(thm)],[f988,f18972]) ).
fof(f18974,plain,
! [X0,X1] : mult(X0,mult(X1,X0)) = ld(ld(X1,i(X0)),mult(X0,rd(X0,X0))),
inference(forward_demodulation,[status(thm)],[f60,f18973]) ).
fof(f18975,plain,
! [X0,X1] : mult(X0,mult(X1,X0)) = ld(ld(X1,i(X0)),mult(X0,unit)),
inference(forward_demodulation,[status(thm)],[f44,f18974]) ).
fof(f18976,plain,
! [X0,X1] : mult(X0,mult(X1,X0)) = ld(ld(X1,i(X0)),X0),
inference(forward_demodulation,[status(thm)],[f17,f18975]) ).
fof(f19076,plain,
! [X0,X1] : mult(X0,mult(mult(X1,X0),X0)) = mult(mult(mult(X0,X1),X0),X0),
inference(backward_demodulation,[status(thm)],[f18976,f4727]) ).
fof(f84484,plain,
! [X0,X1,X2] : mult(X0,mult(ld(X0,mult(X0,mult(mult(X1,X0),X0))),X2)) = mult(mult(mult(X0,X1),X0),mult(X0,X2)),
inference(paramodulation,[status(thm)],[f19076,f2380]) ).
fof(f84485,plain,
! [X0,X1,X2] : mult(X0,mult(mult(mult(X1,X0),X0),X2)) = mult(mult(mult(X0,X1),X0),mult(X0,X2)),
inference(forward_demodulation,[status(thm)],[f14,f84484]) ).
fof(f85193,plain,
mult(a,mult(mult(mult(b,a),a),c)) != mult(a,mult(mult(mult(b,a),a),c)),
inference(backward_demodulation,[status(thm)],[f84485,f24]) ).
fof(f85194,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f85193]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP696-1 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.33 % Computer : n028.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.19/0.33 % CPULimit : 300
% 0.19/0.33 % WCLimit : 300
% 0.19/0.33 % DateTime : Tue May 30 11:41:47 EDT 2023
% 0.19/0.33 % CPUTime :
% 0.19/0.34 % Drodi V3.5.1
% 200.43/25.54 % Refutation found
% 200.43/25.54 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 200.43/25.54 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 203.56/25.97 % Elapsed time: 25.620630 seconds
% 203.56/25.97 % CPU time: 202.616921 seconds
% 203.56/25.97 % Memory used: 2.345 GB
%------------------------------------------------------------------------------