TSTP Solution File: GRP697-1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP697-1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n020.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 : Tue Apr 30 20:21:25 EDT 2024
% Result : Unsatisfiable 34.78s 4.77s
% Output : CNFRefutation 35.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 57
% Number of leaves : 12
% Syntax : Number of formulae : 176 ( 176 unt; 0 def)
% Number of atoms : 176 ( 175 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 : 6 ( 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 : 344 ( 344 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B] : mult(A,ld(A,B)) = B,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B] : ld(A,mult(A,B)) = B,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A,B] : mult(rd(A,B),B) = A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A,B] : rd(mult(A,B),B) = A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [A] : mult(A,unit) = A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [A] : mult(unit,A) = A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [A,B] : mult(A,i(mult(B,A))) = i(B),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [A] : mult(i(A),A) = unit,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [A] : mult(A,i(A)) = unit,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
mult(mult(a,b),mult(b,mult(c,b))) != mult(mult(a,mult(b,mult(b,c))),b),
file('/export/starexec/sandbox/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(a,b),mult(b,mult(c,b))) != mult(mult(a,mult(b,mult(b,c))),b),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f35,plain,
! [X0,X1] : ld(rd(X0,X1),X0) = X1,
inference(paramodulation,[status(thm)],[f15,f14]) ).
fof(f45,plain,
! [X0] : rd(unit,X0) = i(X0),
inference(paramodulation,[status(thm)],[f22,f16]) ).
fof(f49,plain,
! [X0] : rd(unit,i(X0)) = X0,
inference(paramodulation,[status(thm)],[f23,f16]) ).
fof(f50,plain,
! [X0] : i(i(X0)) = X0,
inference(forward_demodulation,[status(thm)],[f45,f49]) ).
fof(f51,plain,
! [X0] : ld(X0,unit) = i(X0),
inference(paramodulation,[status(thm)],[f23,f14]) ).
fof(f63,plain,
! [X0,X1] : mult(X0,i(X1)) = i(rd(X1,X0)),
inference(paramodulation,[status(thm)],[f15,f19]) ).
fof(f66,plain,
! [X0,X1] : mult(i(mult(X0,X1)),i(i(X0))) = i(X1),
inference(paramodulation,[status(thm)],[f19,f19]) ).
fof(f67,plain,
! [X0,X1] : mult(i(mult(X0,X1)),X0) = i(X1),
inference(forward_demodulation,[status(thm)],[f50,f66]) ).
fof(f70,plain,
! [X0,X1] : mult(ld(X0,X1),i(X1)) = i(X0),
inference(paramodulation,[status(thm)],[f13,f19]) ).
fof(f74,plain,
! [X0,X1] : ld(X0,i(X1)) = i(mult(X1,X0)),
inference(paramodulation,[status(thm)],[f19,f14]) ).
fof(f77,plain,
! [X0,X1] : mult(ld(X0,i(X1)),X1) = i(X0),
inference(backward_demodulation,[status(thm)],[f74,f67]) ).
fof(f91,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(f96,plain,
! [X0,X1] : mult(i(X0),mult(X1,X0)) = mult(rd(mult(i(X0),X1),i(X0)),unit),
inference(paramodulation,[status(thm)],[f22,f20]) ).
fof(f97,plain,
! [X0,X1] : mult(i(X0),mult(X1,X0)) = rd(mult(i(X0),X1),i(X0)),
inference(forward_demodulation,[status(thm)],[f17,f96]) ).
fof(f103,plain,
! [X0,X1] : mult(X0,mult(X1,i(X0))) = mult(rd(mult(X0,X1),X0),unit),
inference(paramodulation,[status(thm)],[f23,f20]) ).
fof(f104,plain,
! [X0,X1] : mult(X0,mult(X1,i(X0))) = rd(mult(X0,X1),X0),
inference(forward_demodulation,[status(thm)],[f17,f103]) ).
fof(f105,plain,
! [X0,X1,X2] : mult(X0,mult(X1,ld(X0,X2))) = mult(rd(mult(X0,X1),X0),X2),
inference(paramodulation,[status(thm)],[f13,f20]) ).
fof(f108,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(f109,plain,
! [X0,X1,X2] : ld(rd(mult(X0,X1),X0),mult(X0,mult(X1,X2))) = mult(X0,X2),
inference(paramodulation,[status(thm)],[f20,f14]) ).
fof(f122,plain,
! [X0,X1] : mult(mult(i(X0),X1),X0) = mult(unit,ld(X0,mult(X1,X0))),
inference(paramodulation,[status(thm)],[f22,f21]) ).
fof(f123,plain,
! [X0,X1] : mult(mult(i(X0),X1),X0) = ld(X0,mult(X1,X0)),
inference(forward_demodulation,[status(thm)],[f18,f122]) ).
fof(f139,plain,
! [X0,X1,X2] : mult(mult(X0,rd(X1,X2)),X2) = mult(mult(X0,X2),ld(X2,X1)),
inference(paramodulation,[status(thm)],[f15,f21]) ).
fof(f162,plain,
! [X0,X1] : rd(i(X0),i(X1)) = ld(X0,X1),
inference(paramodulation,[status(thm)],[f70,f16]) ).
fof(f187,plain,
! [X0,X1] : rd(X0,i(X1)) = ld(i(X0),X1),
inference(paramodulation,[status(thm)],[f50,f162]) ).
fof(f189,plain,
! [X0,X1] : rd(i(X0),X1) = ld(X0,i(X1)),
inference(paramodulation,[status(thm)],[f50,f162]) ).
fof(f195,plain,
! [X0,X1] : mult(i(X0),mult(X1,X0)) = ld(i(mult(i(X0),X1)),X0),
inference(backward_demodulation,[status(thm)],[f187,f97]) ).
fof(f196,plain,
! [X0,X1] : mult(i(X0),mult(X1,X0)) = ld(ld(X1,i(i(X0))),X0),
inference(forward_demodulation,[status(thm)],[f74,f195]) ).
fof(f197,plain,
! [X0,X1] : mult(i(X0),mult(X1,X0)) = ld(ld(X1,X0),X0),
inference(forward_demodulation,[status(thm)],[f50,f196]) ).
fof(f204,plain,
! [X0,X1] : rd(X0,X1) = ld(i(X0),i(X1)),
inference(paramodulation,[status(thm)],[f50,f187]) ).
fof(f207,plain,
! [X0,X1] : ld(ld(i(X0),X1),X0) = i(X1),
inference(paramodulation,[status(thm)],[f187,f35]) ).
fof(f233,plain,
! [X0,X1,X2] : rd(mult(X0,X1),X2) = ld(ld(X1,i(X0)),i(X2)),
inference(paramodulation,[status(thm)],[f74,f204]) ).
fof(f250,plain,
! [X0,X1] : mult(i(X0),i(X1)) = i(ld(i(X1),X0)),
inference(paramodulation,[status(thm)],[f207,f70]) ).
fof(f322,plain,
! [X0,X1] : ld(mult(X0,i(X1)),i(X1)) = i(rd(mult(X1,X0),X1)),
inference(paramodulation,[status(thm)],[f104,f74]) ).
fof(f323,plain,
! [X0,X1] : ld(mult(X0,i(X1)),i(X1)) = mult(X1,i(mult(X1,X0))),
inference(forward_demodulation,[status(thm)],[f63,f322]) ).
fof(f324,plain,
! [X0,X1] : ld(mult(X0,i(X1)),i(X1)) = mult(X1,ld(X0,i(X1))),
inference(forward_demodulation,[status(thm)],[f74,f323]) ).
fof(f369,plain,
! [X0,X1] : rd(ld(X0,mult(X1,X0)),X0) = mult(i(X0),X1),
inference(paramodulation,[status(thm)],[f123,f16]) ).
fof(f410,plain,
! [X0,X1] : ld(mult(X0,X1),i(i(X1))) = i(ld(ld(X0,X1),X1)),
inference(paramodulation,[status(thm)],[f197,f74]) ).
fof(f411,plain,
! [X0,X1] : ld(mult(X0,X1),X1) = i(ld(ld(X0,X1),X1)),
inference(forward_demodulation,[status(thm)],[f50,f410]) ).
fof(f429,plain,
! [X0,X1] : mult(i(X0),i(i(X1))) = i(ld(X1,X0)),
inference(paramodulation,[status(thm)],[f50,f250]) ).
fof(f430,plain,
! [X0,X1] : mult(i(X0),X1) = i(ld(X1,X0)),
inference(forward_demodulation,[status(thm)],[f50,f429]) ).
fof(f437,plain,
! [X0,X1,X2] : rd(ld(i(X0),X1),X2) = ld(mult(i(X1),i(X0)),i(X2)),
inference(paramodulation,[status(thm)],[f250,f204]) ).
fof(f446,plain,
! [X0,X1] : ld(mult(X0,X1),X1) = mult(i(X1),ld(X0,X1)),
inference(backward_demodulation,[status(thm)],[f430,f411]) ).
fof(f468,plain,
! [X0,X1] : rd(ld(i(X0),i(X1)),i(X0)) = mult(i(i(X0)),ld(X1,X0)),
inference(paramodulation,[status(thm)],[f70,f369]) ).
fof(f469,plain,
! [X0,X1] : ld(i(ld(i(X0),i(X1))),X0) = mult(i(i(X0)),ld(X1,X0)),
inference(forward_demodulation,[status(thm)],[f187,f468]) ).
fof(f470,plain,
! [X0,X1] : ld(mult(i(i(X0)),i(X1)),X1) = mult(i(i(X1)),ld(X0,X1)),
inference(forward_demodulation,[status(thm)],[f430,f469]) ).
fof(f471,plain,
! [X0,X1] : ld(mult(X0,i(X1)),X1) = mult(i(i(X1)),ld(X0,X1)),
inference(forward_demodulation,[status(thm)],[f50,f470]) ).
fof(f472,plain,
! [X0,X1] : ld(mult(X0,i(X1)),X1) = mult(X1,ld(X0,X1)),
inference(forward_demodulation,[status(thm)],[f50,f471]) ).
fof(f484,plain,
! [X0] : rd(ld(X0,unit),X0) = mult(i(X0),i(X0)),
inference(paramodulation,[status(thm)],[f22,f369]) ).
fof(f485,plain,
! [X0] : rd(i(X0),X0) = mult(i(X0),i(X0)),
inference(forward_demodulation,[status(thm)],[f51,f484]) ).
fof(f486,plain,
! [X0] : ld(X0,i(X0)) = mult(i(X0),i(X0)),
inference(forward_demodulation,[status(thm)],[f189,f485]) ).
fof(f529,plain,
! [X0] : ld(i(X0),i(i(X0))) = mult(X0,i(i(X0))),
inference(paramodulation,[status(thm)],[f50,f486]) ).
fof(f530,plain,
! [X0] : rd(X0,i(X0)) = mult(X0,i(i(X0))),
inference(forward_demodulation,[status(thm)],[f204,f529]) ).
fof(f531,plain,
! [X0] : ld(i(X0),X0) = mult(X0,i(i(X0))),
inference(forward_demodulation,[status(thm)],[f187,f530]) ).
fof(f532,plain,
! [X0] : ld(i(X0),X0) = mult(X0,X0),
inference(forward_demodulation,[status(thm)],[f50,f531]) ).
fof(f777,plain,
! [X0,X1] : ld(mult(i(X0),i(X1)),i(X1)) = mult(i(i(X1)),rd(X0,X1)),
inference(paramodulation,[status(thm)],[f204,f446]) ).
fof(f778,plain,
! [X0,X1] : rd(ld(i(X0),X1),X0) = mult(i(i(X0)),rd(X1,X0)),
inference(forward_demodulation,[status(thm)],[f437,f777]) ).
fof(f779,plain,
! [X0,X1] : rd(ld(i(X0),X1),X0) = mult(X0,rd(X1,X0)),
inference(forward_demodulation,[status(thm)],[f50,f778]) ).
fof(f850,plain,
! [X0,X1,X2] : rd(X0,rd(X1,X2)) = ld(i(X0),mult(X2,i(X1))),
inference(paramodulation,[status(thm)],[f63,f204]) ).
fof(f851,plain,
! [X0,X1,X2] : rd(rd(X0,X1),X2) = ld(mult(X1,i(X0)),i(X2)),
inference(paramodulation,[status(thm)],[f63,f204]) ).
fof(f864,plain,
! [X0,X1] : rd(rd(X0,X1),X0) = mult(X0,ld(X1,i(X0))),
inference(backward_demodulation,[status(thm)],[f851,f324]) ).
fof(f890,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)],[f123,f472]) ).
fof(f891,plain,
! [X0,X1] : i(mult(X0,i(X1))) = mult(X1,ld(mult(i(i(X1)),X0),X1)),
inference(forward_demodulation,[status(thm)],[f207,f890]) ).
fof(f892,plain,
! [X0,X1] : ld(i(X0),i(X1)) = mult(X0,ld(mult(i(i(X0)),X1),X0)),
inference(forward_demodulation,[status(thm)],[f74,f891]) ).
fof(f893,plain,
! [X0,X1] : rd(X0,X1) = mult(X0,ld(mult(i(i(X0)),X1),X0)),
inference(forward_demodulation,[status(thm)],[f204,f892]) ).
fof(f894,plain,
! [X0,X1] : rd(X0,X1) = mult(X0,ld(mult(X0,X1),X0)),
inference(forward_demodulation,[status(thm)],[f50,f893]) ).
fof(f1009,plain,
! [X0,X1] : rd(X0,ld(X0,X1)) = mult(X0,ld(X1,X0)),
inference(paramodulation,[status(thm)],[f13,f894]) ).
fof(f1033,plain,
! [X0,X1] : ld(X0,rd(X0,X1)) = ld(mult(X0,X1),X0),
inference(paramodulation,[status(thm)],[f894,f14]) ).
fof(f1096,plain,
! [X0,X1] : mult(ld(X0,X1),i(X0)) = i(mult(X0,ld(X1,X0))),
inference(paramodulation,[status(thm)],[f1009,f63]) ).
fof(f1097,plain,
! [X0,X1] : mult(ld(X0,X1),i(X0)) = ld(ld(X1,X0),i(X0)),
inference(forward_demodulation,[status(thm)],[f74,f1096]) ).
fof(f1214,plain,
! [X0,X1] : mult(mult(X0,rd(X1,X0)),X0) = ld(i(X0),X1),
inference(paramodulation,[status(thm)],[f779,f15]) ).
fof(f1215,plain,
! [X0,X1] : mult(mult(X0,X0),ld(X0,X1)) = ld(i(X0),X1),
inference(forward_demodulation,[status(thm)],[f139,f1214]) ).
fof(f1491,plain,
! [X0,X1] : mult(mult(X0,X1),X0) = ld(i(X0),mult(X1,X0)),
inference(paramodulation,[status(thm)],[f21,f1215]) ).
fof(f1541,plain,
! [X0,X1] : mult(mult(X0,X0),X1) = ld(i(X0),mult(X0,X1)),
inference(paramodulation,[status(thm)],[f14,f1215]) ).
fof(f1963,plain,
! [X0,X1] : mult(i(X0),mult(mult(X0,X1),X0)) = mult(X1,X0),
inference(paramodulation,[status(thm)],[f1491,f13]) ).
fof(f1964,plain,
! [X0,X1] : ld(ld(mult(X0,X1),X0),X0) = mult(X1,X0),
inference(forward_demodulation,[status(thm)],[f197,f1963]) ).
fof(f1965,plain,
! [X0,X1] : ld(ld(X0,rd(X0,X1)),X0) = mult(X1,X0),
inference(forward_demodulation,[status(thm)],[f1033,f1964]) ).
fof(f1972,plain,
! [X0,X1] : mult(mult(i(X0),i(X0)),X1) = ld(X0,mult(i(X0),X1)),
inference(paramodulation,[status(thm)],[f50,f1541]) ).
fof(f1973,plain,
! [X0,X1] : mult(ld(X0,i(X0)),X1) = ld(X0,mult(i(X0),X1)),
inference(forward_demodulation,[status(thm)],[f486,f1972]) ).
fof(f2078,plain,
! [X0,X1] : mult(i(X0),mult(mult(X0,X0),X1)) = mult(X0,X1),
inference(paramodulation,[status(thm)],[f1541,f13]) ).
fof(f2802,plain,
! [X0,X1] : mult(ld(i(X0),X1),X0) = ld(ld(X1,i(X0)),i(i(X0))),
inference(paramodulation,[status(thm)],[f50,f1097]) ).
fof(f2803,plain,
! [X0,X1] : mult(ld(i(X0),X1),X0) = rd(mult(X0,X1),i(X0)),
inference(forward_demodulation,[status(thm)],[f233,f2802]) ).
fof(f2804,plain,
! [X0,X1] : mult(ld(i(X0),X1),X0) = ld(i(mult(X0,X1)),X0),
inference(forward_demodulation,[status(thm)],[f187,f2803]) ).
fof(f2805,plain,
! [X0,X1] : mult(ld(i(X0),X1),X0) = ld(ld(X1,i(X0)),X0),
inference(forward_demodulation,[status(thm)],[f74,f2804]) ).
fof(f3192,plain,
! [X0,X1] : ld(X0,i(ld(X1,i(X1)))) = i(ld(X1,mult(i(X1),X0))),
inference(paramodulation,[status(thm)],[f1973,f74]) ).
fof(f3193,plain,
! [X0,X1] : ld(X0,mult(i(i(X1)),X1)) = i(ld(X1,mult(i(X1),X0))),
inference(forward_demodulation,[status(thm)],[f430,f3192]) ).
fof(f3194,plain,
! [X0,X1] : ld(X0,mult(X1,X1)) = i(ld(X1,mult(i(X1),X0))),
inference(forward_demodulation,[status(thm)],[f50,f3193]) ).
fof(f3195,plain,
! [X0,X1] : ld(X0,mult(X1,X1)) = mult(i(mult(i(X1),X0)),X1),
inference(forward_demodulation,[status(thm)],[f430,f3194]) ).
fof(f3196,plain,
! [X0,X1] : ld(X0,mult(X1,X1)) = mult(ld(X0,i(i(X1))),X1),
inference(forward_demodulation,[status(thm)],[f74,f3195]) ).
fof(f3197,plain,
! [X0,X1] : ld(X0,mult(X1,X1)) = mult(ld(X0,X1),X1),
inference(forward_demodulation,[status(thm)],[f50,f3196]) ).
fof(f3250,plain,
! [X0,X1] : ld(ld(i(X0),X1),mult(X0,X0)) = mult(i(X1),X0),
inference(paramodulation,[status(thm)],[f207,f3197]) ).
fof(f3255,plain,
! [X0,X1] : ld(i(X0),mult(i(X1),i(X1))) = mult(rd(X0,X1),i(X1)),
inference(paramodulation,[status(thm)],[f204,f3197]) ).
fof(f3256,plain,
! [X0,X1] : rd(X0,rd(X1,i(X1))) = mult(rd(X0,X1),i(X1)),
inference(forward_demodulation,[status(thm)],[f850,f3255]) ).
fof(f3257,plain,
! [X0,X1] : rd(X0,ld(i(X1),X1)) = mult(rd(X0,X1),i(X1)),
inference(forward_demodulation,[status(thm)],[f187,f3256]) ).
fof(f3258,plain,
! [X0,X1] : rd(X0,mult(X1,X1)) = mult(rd(X0,X1),i(X1)),
inference(forward_demodulation,[status(thm)],[f532,f3257]) ).
fof(f3322,plain,
! [X0,X1] : rd(mult(X0,X1),mult(X1,X1)) = mult(X0,i(X1)),
inference(paramodulation,[status(thm)],[f16,f3258]) ).
fof(f3557,plain,
! [X0,X1] : ld(mult(X0,i(X1)),mult(X0,X1)) = mult(X1,X1),
inference(paramodulation,[status(thm)],[f3322,f35]) ).
fof(f3813,plain,
! [X0,X1,X2] : ld(mult(X0,X1),i(rd(X2,X0))) = i(mult(X0,mult(ld(X0,X2),X1))),
inference(paramodulation,[status(thm)],[f91,f74]) ).
fof(f3814,plain,
! [X0,X1,X2] : ld(mult(X0,X1),mult(X0,i(X2))) = i(mult(X0,mult(ld(X0,X2),X1))),
inference(forward_demodulation,[status(thm)],[f63,f3813]) ).
fof(f3815,plain,
! [X0,X1,X2] : ld(mult(X0,X1),mult(X0,i(X2))) = ld(mult(ld(X0,X2),X1),i(X0)),
inference(forward_demodulation,[status(thm)],[f74,f3814]) ).
fof(f4086,plain,
! [X0,X1] : rd(mult(X0,X1),mult(i(X0),X1)) = rd(mult(i(X0),mult(X0,X0)),i(X0)),
inference(paramodulation,[status(thm)],[f2078,f108]) ).
fof(f4087,plain,
! [X0,X1] : rd(mult(X0,X1),mult(i(X0),X1)) = ld(i(mult(i(X0),mult(X0,X0))),X0),
inference(forward_demodulation,[status(thm)],[f187,f4086]) ).
fof(f4088,plain,
! [X0,X1] : rd(mult(X0,X1),mult(i(X0),X1)) = ld(ld(mult(X0,X0),i(i(X0))),X0),
inference(forward_demodulation,[status(thm)],[f74,f4087]) ).
fof(f4089,plain,
! [X0,X1] : rd(mult(X0,X1),mult(i(X0),X1)) = ld(ld(mult(X0,X0),X0),X0),
inference(forward_demodulation,[status(thm)],[f50,f4088]) ).
fof(f4090,plain,
! [X0,X1] : rd(mult(X0,X1),mult(i(X0),X1)) = ld(ld(X0,rd(X0,X0)),X0),
inference(forward_demodulation,[status(thm)],[f1033,f4089]) ).
fof(f4091,plain,
! [X0,X1] : rd(mult(X0,X1),mult(i(X0),X1)) = mult(X0,X0),
inference(forward_demodulation,[status(thm)],[f1965,f4090]) ).
fof(f4386,plain,
! [X0,X1] : ld(i(X0),mult(ld(X0,i(i(X1))),X1)) = mult(X1,X1),
inference(paramodulation,[status(thm)],[f77,f3557]) ).
fof(f4387,plain,
! [X0,X1] : ld(i(X0),mult(ld(X0,X1),X1)) = mult(X1,X1),
inference(forward_demodulation,[status(thm)],[f50,f4386]) ).
fof(f4388,plain,
! [X0,X1] : ld(i(X0),ld(X0,mult(X1,X1))) = mult(X1,X1),
inference(forward_demodulation,[status(thm)],[f3197,f4387]) ).
fof(f4785,plain,
! [X0,X1] : ld(mult(X0,X0),mult(X0,X1)) = mult(i(X0),X1),
inference(paramodulation,[status(thm)],[f4091,f35]) ).
fof(f4895,plain,
! [X0,X1] : mult(i(X0),mult(X1,X1)) = ld(X0,mult(X1,X1)),
inference(paramodulation,[status(thm)],[f4388,f13]) ).
fof(f4972,plain,
! [X0,X1] : ld(mult(ld(X0,i(X1)),ld(X0,i(X1))),i(X0)) = mult(i(ld(X0,i(X1))),X1),
inference(paramodulation,[status(thm)],[f77,f4785]) ).
fof(f4973,plain,
! [X0,X1] : ld(mult(X0,ld(X0,i(X1))),mult(X0,i(i(X1)))) = mult(i(ld(X0,i(X1))),X1),
inference(forward_demodulation,[status(thm)],[f3815,f4972]) ).
fof(f4974,plain,
! [X0,X1] : ld(i(X0),mult(X1,i(i(X0)))) = mult(i(ld(X1,i(X0))),X0),
inference(forward_demodulation,[status(thm)],[f13,f4973]) ).
fof(f4975,plain,
! [X0,X1] : rd(X0,rd(i(X0),X1)) = mult(i(ld(X1,i(X0))),X0),
inference(forward_demodulation,[status(thm)],[f850,f4974]) ).
fof(f4976,plain,
! [X0,X1] : rd(X0,ld(X0,i(X1))) = mult(i(ld(X1,i(X0))),X0),
inference(forward_demodulation,[status(thm)],[f189,f4975]) ).
fof(f4977,plain,
! [X0,X1] : mult(X0,ld(i(X1),X0)) = mult(i(ld(X1,i(X0))),X0),
inference(forward_demodulation,[status(thm)],[f1009,f4976]) ).
fof(f4978,plain,
! [X0,X1] : mult(X0,ld(i(X1),X0)) = mult(mult(i(i(X0)),X1),X0),
inference(forward_demodulation,[status(thm)],[f430,f4977]) ).
fof(f4979,plain,
! [X0,X1] : mult(X0,ld(i(X1),X0)) = mult(mult(X0,X1),X0),
inference(forward_demodulation,[status(thm)],[f50,f4978]) ).
fof(f5523,plain,
! [X0,X1] : ld(rd(mult(X0,X1),X0),mult(X0,unit)) = mult(X0,i(X1)),
inference(paramodulation,[status(thm)],[f23,f109]) ).
fof(f5524,plain,
! [X0,X1] : ld(rd(mult(X0,X1),X0),X0) = mult(X0,i(X1)),
inference(forward_demodulation,[status(thm)],[f17,f5523]) ).
fof(f5833,plain,
! [X0,X1] : mult(X0,mult(X1,X1)) = ld(i(X0),mult(X1,X1)),
inference(paramodulation,[status(thm)],[f50,f4895]) ).
fof(f7022,plain,
! [X0,X1] : mult(mult(i(X0),i(X1)),X0) = i(rd(mult(i(X0),X1),i(X0))),
inference(paramodulation,[status(thm)],[f5524,f77]) ).
fof(f7023,plain,
! [X0,X1] : ld(X0,mult(i(X1),X0)) = i(rd(mult(i(X0),X1),i(X0))),
inference(forward_demodulation,[status(thm)],[f123,f7022]) ).
fof(f7024,plain,
! [X0,X1] : ld(X0,mult(i(X1),X0)) = mult(i(X0),i(mult(i(X0),X1))),
inference(forward_demodulation,[status(thm)],[f63,f7023]) ).
fof(f7025,plain,
! [X0,X1] : ld(X0,mult(i(X1),X0)) = mult(i(X0),ld(X1,i(i(X0)))),
inference(forward_demodulation,[status(thm)],[f74,f7024]) ).
fof(f7026,plain,
! [X0,X1] : ld(X0,mult(i(X1),X0)) = rd(rd(i(X0),X1),i(X0)),
inference(forward_demodulation,[status(thm)],[f864,f7025]) ).
fof(f7027,plain,
! [X0,X1] : ld(X0,mult(i(X1),X0)) = ld(i(rd(i(X0),X1)),X0),
inference(forward_demodulation,[status(thm)],[f187,f7026]) ).
fof(f7028,plain,
! [X0,X1] : ld(X0,mult(i(X1),X0)) = ld(mult(X1,i(i(X0))),X0),
inference(forward_demodulation,[status(thm)],[f63,f7027]) ).
fof(f7029,plain,
! [X0,X1] : ld(X0,mult(i(X1),X0)) = ld(mult(X1,X0),X0),
inference(forward_demodulation,[status(thm)],[f50,f7028]) ).
fof(f8355,plain,
! [X0,X1,X2] : mult(mult(X0,X1),mult(X2,X2)) = ld(ld(X1,i(X0)),mult(X2,X2)),
inference(paramodulation,[status(thm)],[f74,f5833]) ).
fof(f10642,plain,
! [X0,X1] : ld(ld(mult(X0,i(X1)),i(X1)),mult(X1,X1)) = mult(i(mult(i(X0),i(X1))),X1),
inference(paramodulation,[status(thm)],[f7029,f3250]) ).
fof(f10643,plain,
! [X0,X1] : mult(mult(X0,mult(X1,i(X0))),mult(X0,X0)) = mult(i(mult(i(X1),i(X0))),X0),
inference(forward_demodulation,[status(thm)],[f8355,f10642]) ).
fof(f10644,plain,
! [X0,X1] : mult(rd(mult(X0,X1),X0),mult(X0,X0)) = mult(i(mult(i(X1),i(X0))),X0),
inference(forward_demodulation,[status(thm)],[f104,f10643]) ).
fof(f10645,plain,
! [X0,X1] : mult(X0,mult(X1,ld(X0,mult(X0,X0)))) = mult(i(mult(i(X1),i(X0))),X0),
inference(forward_demodulation,[status(thm)],[f105,f10644]) ).
fof(f10646,plain,
! [X0,X1] : mult(X0,mult(X1,X0)) = mult(i(mult(i(X1),i(X0))),X0),
inference(forward_demodulation,[status(thm)],[f14,f10645]) ).
fof(f10647,plain,
! [X0,X1] : mult(X0,mult(X1,X0)) = mult(ld(i(X0),i(i(X1))),X0),
inference(forward_demodulation,[status(thm)],[f74,f10646]) ).
fof(f10648,plain,
! [X0,X1] : mult(X0,mult(X1,X0)) = ld(ld(i(i(X1)),i(X0)),X0),
inference(forward_demodulation,[status(thm)],[f2805,f10647]) ).
fof(f10649,plain,
! [X0,X1] : mult(X0,mult(X1,X0)) = ld(rd(i(X1),X0),X0),
inference(forward_demodulation,[status(thm)],[f204,f10648]) ).
fof(f10650,plain,
! [X0,X1] : mult(X0,mult(X1,X0)) = ld(ld(X1,i(X0)),X0),
inference(forward_demodulation,[status(thm)],[f189,f10649]) ).
fof(f10902,plain,
! [X0,X1] : mult(mult(X0,mult(X1,X0)),i(X0)) = i(ld(X1,i(X0))),
inference(paramodulation,[status(thm)],[f10650,f70]) ).
fof(f10903,plain,
! [X0,X1] : mult(mult(X0,mult(X1,X0)),i(X0)) = mult(i(i(X0)),X1),
inference(forward_demodulation,[status(thm)],[f430,f10902]) ).
fof(f10904,plain,
! [X0,X1] : mult(mult(X0,mult(X1,X0)),i(X0)) = mult(X0,X1),
inference(forward_demodulation,[status(thm)],[f50,f10903]) ).
fof(f11137,plain,
! [X0,X1] : rd(ld(i(X0),mult(X0,X1)),i(X0)) = mult(i(i(X0)),mult(X0,mult(X1,X0))),
inference(paramodulation,[status(thm)],[f10904,f369]) ).
fof(f11138,plain,
! [X0,X1] : ld(i(ld(i(X0),mult(X0,X1))),X0) = mult(i(i(X0)),mult(X0,mult(X1,X0))),
inference(forward_demodulation,[status(thm)],[f187,f11137]) ).
fof(f11139,plain,
! [X0,X1] : ld(mult(i(mult(X0,X1)),i(X0)),X0) = mult(i(i(X0)),mult(X0,mult(X1,X0))),
inference(forward_demodulation,[status(thm)],[f430,f11138]) ).
fof(f11140,plain,
! [X0,X1] : mult(X0,ld(i(mult(X0,X1)),X0)) = mult(i(i(X0)),mult(X0,mult(X1,X0))),
inference(forward_demodulation,[status(thm)],[f472,f11139]) ).
fof(f11141,plain,
! [X0,X1] : mult(mult(X0,mult(X0,X1)),X0) = mult(i(i(X0)),mult(X0,mult(X1,X0))),
inference(forward_demodulation,[status(thm)],[f4979,f11140]) ).
fof(f11142,plain,
! [X0,X1] : mult(mult(X0,mult(X0,X1)),X0) = mult(X0,mult(X0,mult(X1,X0))),
inference(forward_demodulation,[status(thm)],[f50,f11141]) ).
fof(f30482,plain,
! [X0,X1,X2] : mult(mult(X0,mult(X1,mult(X1,X2))),X1) = mult(mult(X0,X1),ld(X1,mult(X1,mult(X1,mult(X2,X1))))),
inference(paramodulation,[status(thm)],[f11142,f21]) ).
fof(f30483,plain,
! [X0,X1,X2] : mult(mult(X0,mult(X1,mult(X1,X2))),X1) = mult(mult(X0,X1),mult(X1,mult(X2,X1))),
inference(forward_demodulation,[status(thm)],[f14,f30482]) ).
fof(f30506,plain,
mult(mult(a,b),mult(b,mult(c,b))) != mult(mult(a,b),mult(b,mult(c,b))),
inference(backward_demodulation,[status(thm)],[f30483,f24]) ).
fof(f30507,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f30506]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP697-1 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.33 % Computer : n020.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 Apr 30 00:21:32 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.11/0.34 % Drodi V3.6.0
% 34.78/4.77 % Refutation found
% 34.78/4.77 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 34.78/4.77 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 35.93/4.94 % Elapsed time: 4.581384 seconds
% 35.93/4.94 % CPU time: 35.780182 seconds
% 35.93/4.94 % Total memory used: 462.738 MB
% 35.93/4.94 % Net memory used: 448.725 MB
%------------------------------------------------------------------------------