%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP707-1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:37:13 PM UTC 2026
% Result : Unsatisfiable 2.66s 0.77s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP707-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n004.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sun Sep 20 20:34:36 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 2.66/0.77 % Refutation found
% 2.66/0.77 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 2.66/0.77 % SZS output start CNFRefutation for theBenchmark
% 2.66/0.77 fof(f1,axiom,(
% 2.66/0.77 (![A,B]: (mult(A,ld(A,B)) = B ))),
% 2.66/0.77 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.66/0.77 fof(f2,axiom,(
% 2.66/0.77 (![A,B]: (ld(A,mult(A,B)) = B ))),
% 2.66/0.77 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.66/0.77 fof(f3,axiom,(
% 2.66/0.77 (![A,B]: (mult(rd(A,B),B) = A ))),
% 2.66/0.77 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.66/0.77 fof(f4,axiom,(
% 2.66/0.77 (![A,B]: (rd(mult(A,B),B) = A ))),
% 2.66/0.77 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.66/0.77 fof(f5,axiom,(
% 2.66/0.77 (![A]: (mult(A,unit) = A ))),
% 2.66/0.77 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.66/0.77 fof(f6,axiom,(
% 2.66/0.77 (![A]: (mult(unit,A) = A ))),
% 2.66/0.77 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.66/0.77 fof(f7,axiom,(
% 2.66/0.77 (![A,B,C]: (mult(A,mult(B,mult(B,C))) = mult(mult(mult(A,B),B),C) ))),
% 2.66/0.77 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.66/0.77 fof(f8,axiom,(
% 2.66/0.77 (![A]: (mult(A,mult(A,mult(A,A))) = unit ))),
% 2.66/0.77 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.66/0.77 fof(f9,axiom,(
% 2.66/0.77 (![A,B]: (mult(mult(A,A),B) = mult(B,mult(A,A)) ))),
% 2.66/0.77 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.66/0.77 fof(f10,negated_conjecture,(
% 2.66/0.77 mult(mult(a,b),a) != mult(a,mult(b,a)) ),
% 2.66/0.77 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.66/0.77 fof(f11,plain,(
% 2.66/0.77 ![X0,X1]: (mult(X0,ld(X0,X1))=X1)),
% 2.66/0.77 inference(cnf_transformation,[status(thm)],[f1])).
% 2.66/0.77 fof(f12,plain,(
% 2.66/0.77 ![X0,X1]: (ld(X0,mult(X0,X1))=X1)),
% 2.66/0.77 inference(cnf_transformation,[status(thm)],[f2])).
% 2.66/0.77 fof(f13,plain,(
% 2.66/0.77 ![X0,X1]: (mult(rd(X0,X1),X1)=X0)),
% 2.66/0.77 inference(cnf_transformation,[status(thm)],[f3])).
% 2.66/0.77 fof(f14,plain,(
% 2.66/0.77 ![X0,X1]: (rd(mult(X0,X1),X1)=X0)),
% 2.66/0.77 inference(cnf_transformation,[status(thm)],[f4])).
% 2.66/0.77 fof(f15,plain,(
% 2.66/0.77 ![X0]: (mult(X0,unit)=X0)),
% 2.66/0.77 inference(cnf_transformation,[status(thm)],[f5])).
% 2.66/0.77 fof(f16,plain,(
% 2.66/0.77 ![X0]: (mult(unit,X0)=X0)),
% 2.66/0.77 inference(cnf_transformation,[status(thm)],[f6])).
% 2.66/0.77 fof(f17,plain,(
% 2.66/0.77 ![X0,X1,X2]: (mult(X0,mult(X1,mult(X1,X2)))=mult(mult(mult(X0,X1),X1),X2))),
% 2.66/0.77 inference(cnf_transformation,[status(thm)],[f7])).
% 2.66/0.77 fof(f18,plain,(
% 2.66/0.77 ![X0]: (mult(X0,mult(X0,mult(X0,X0)))=unit)),
% 2.66/0.77 inference(cnf_transformation,[status(thm)],[f8])).
% 2.66/0.77 fof(f19,plain,(
% 2.66/0.77 ![X0,X1]: (mult(mult(X0,X0),X1)=mult(X1,mult(X0,X0)))),
% 2.66/0.77 inference(cnf_transformation,[status(thm)],[f9])).
% 2.66/0.77 fof(f20,plain,(
% 2.66/0.77 ~mult(mult(a,b),a)=mult(a,mult(b,a))),
% 2.66/0.77 inference(cnf_transformation,[status(thm)],[f10])).
% 2.66/0.77 fof(f42,plain,(
% 2.66/0.77 ![X0,X1]: (ld(rd(X0,X1),X0)=X1)),
% 2.66/0.77 inference(paramodulation,[status(thm)],[f13,f12])).
% 2.66/0.77 fof(f47,plain,(
% 2.66/0.77 ![X0,X1]: (rd(X0,ld(X1,X0))=X1)),
% 2.66/0.77 inference(paramodulation,[status(thm)],[f11,f14])).
% 2.66/0.77 fof(f70,plain,(
% 2.66/0.77 ![X0]: (ld(X0,unit)=mult(X0,mult(X0,X0)))),
% 2.66/0.77 inference(paramodulation,[status(thm)],[f18,f12])).
% 2.66/0.77 fof(f79,plain,(
% 2.66/0.77 ![X0,X1]: (mult(X0,mult(X1,mult(X1,unit)))=mult(mult(X0,X1),X1))),
% 2.66/0.77 inference(paramodulation,[status(thm)],[f15,f17])).
% 2.66/0.77 fof(f83,plain,(
% 2.66/0.77 ![X0,X1,X2]: (mult(rd(X0,X1),mult(X1,mult(X1,X2)))=mult(mult(X0,X1),X2))),
% 2.66/0.77 inference(paramodulation,[status(thm)],[f13,f17])).
% 2.66/0.77 fof(f84,plain,(
% 2.66/0.77 ![X0,X1]: (mult(unit,mult(X0,mult(X0,X1)))=mult(mult(X0,X0),X1))),
% 2.66/0.77 inference(paramodulation,[status(thm)],[f16,f17])).
% 2.66/0.77 fof(f91,plain,(
% 2.66/0.77 ![X0,X1,X2]: (mult(X0,mult(X1,mult(X1,X2)))=mult(mult(X0,mult(X1,X1)),X2))),
% 2.66/0.77 inference(backward_demodulation,[status(thm)],[f93,f17])).
% 2.66/0.77 fof(f93,plain,(
% 2.66/0.77 ![X0,X1]: (mult(X0,mult(X1,X1))=mult(mult(X0,X1),X1))),
% 2.66/0.77 inference(forward_demodulation,[status(thm)],[f15,f79])).
% 2.66/0.77 fof(f98,plain,(
% 2.66/0.77 ![X0,X1]: (mult(X0,mult(X0,X1))=mult(mult(X0,X0),X1))),
% 2.66/0.77 inference(forward_demodulation,[status(thm)],[f16,f84])).
% 2.66/0.77 fof(f110,plain,(
% 2.66/0.77 ![X0]: (ld(X0,ld(X0,unit))=mult(X0,X0))),
% 2.66/0.77 inference(paramodulation,[status(thm)],[f70,f12])).
% 2.66/0.77 fof(f144,plain,(
% 2.66/0.77 ![X0,X1]: (mult(mult(X0,X0),rd(X1,mult(X0,X0)))=X1)),
% 2.66/0.77 inference(paramodulation,[status(thm)],[f13,f19])).
% 2.66/0.77 fof(f149,plain,(
% 2.66/0.77 ![X0,X1]: (rd(mult(X0,mult(X1,X1)),X0)=mult(X1,X1))),
% 2.66/0.77 inference(paramodulation,[status(thm)],[f19,f14])).
% 2.66/0.77 fof(f153,plain,(
% 2.66/0.77 ![X0,X1]: (ld(X0,mult(mult(X1,X1),X0))=mult(X1,X1))),
% 2.66/0.77 inference(paramodulation,[status(thm)],[f19,f12])).
% 2.66/0.77 fof(f158,plain,(
% 2.66/0.77 ![X0,X1]: (mult(X0,mult(X0,rd(X1,mult(X0,X0))))=X1)),
% 2.66/0.77 inference(forward_demodulation,[status(thm)],[f98,f144])).
% 2.66/0.77 fof(f167,plain,(
% 2.66/0.77 ![X0,X1]: (ld(X0,mult(X1,mult(X1,X0)))=mult(X1,X1))),
% 2.66/0.77 inference(forward_demodulation,[status(thm)],[f98,f153])).
% 2.66/0.77 fof(f169,plain,(
% 2.66/0.77 ![X0,X1]: (mult(X0,mult(mult(X1,X1),mult(X1,X1)))=mult(mult(X1,X1),mult(X0,mult(X1,X1))))),
% 2.66/0.77 inference(paramodulation,[status(thm)],[f19,f93])).
% 2.66/0.77 fof(f171,plain,(
% 2.66/0.77 ![X0,X1]: (mult(mult(X0,X1),mult(X1,X1))=mult(mult(X0,mult(X1,X1)),X1))),
% 2.66/0.77 inference(paramodulation,[status(thm)],[f93,f93])).
% 2.66/0.77 fof(f173,plain,(
% 2.66/0.77 ![X0,X1]: (mult(rd(X0,X1),mult(X1,X1))=mult(X0,X1))),
% 2.66/0.77 inference(paramodulation,[status(thm)],[f13,f93])).
% 2.66/0.77 fof(f183,plain,(
% 2.66/0.77 ![X0,X1]: (ld(mult(X0,X1),mult(X0,mult(X1,X1)))=X1)),
% 2.66/0.77 inference(paramodulation,[status(thm)],[f93,f12])).
% 2.66/0.77 fof(f184,plain,(
% 2.66/0.77 ![X0,X1]: (mult(X0,mult(X1,mult(X1,mult(X1,X1))))=mult(mult(X1,X1),mult(X0,mult(X1,X1))))),
% 2.66/0.77 inference(forward_demodulation,[status(thm)],[f98,f169])).
% 2.66/0.77 fof(f185,plain,(
% 2.66/0.77 ![X0,X1]: (mult(X0,mult(X1,ld(X1,unit)))=mult(mult(X1,X1),mult(X0,mult(X1,X1))))),
% 2.66/0.77 inference(forward_demodulation,[status(thm)],[f70,f184])).
% 2.66/0.77 fof(f186,plain,(
% 2.66/0.77 ![X0,X1]: (mult(X0,unit)=mult(mult(X1,X1),mult(X0,mult(X1,X1))))),
% 2.66/0.77 inference(forward_demodulation,[status(thm)],[f11,f185])).
% 2.66/0.77 fof(f187,plain,(
% 2.66/0.77 ![X0,X1]: (X0=mult(mult(X1,X1),mult(X0,mult(X1,X1))))),
% 2.66/0.77 inference(forward_demodulation,[status(thm)],[f15,f186])).
% 2.66/0.77 fof(f188,plain,(
% 2.66/0.77 ![X0,X1]: (X0=mult(X1,mult(X1,mult(X0,mult(X1,X1)))))),
% 2.66/0.77 inference(forward_demodulation,[status(thm)],[f98,f187])).
% 2.66/0.77 fof(f189,plain,(
% 2.66/0.77 ![X0,X1]: (mult(mult(X0,X1),mult(X1,X1))=mult(X0,mult(X1,mult(X1,X1))))),
% 2.66/0.77 inference(forward_demodulation,[status(thm)],[f91,f171])).
% 2.66/0.77 fof(f190,plain,(
% 2.66/0.77 ![X0,X1]: (mult(mult(X0,X1),mult(X1,X1))=mult(X0,ld(X1,unit)))),
% 2.66/0.77 inference(forward_demodulation,[status(thm)],[f70,f189])).
% 2.66/0.77 fof(f260,plain,(
% 2.66/0.77 ![X0,X1]: (mult(X0,mult(X0,X1))=mult(X1,mult(X0,X0)))),
% 2.66/0.77 inference(paramodulation,[status(thm)],[f19,f98])).
% 2.66/0.77 fof(f262,plain,(
% 2.66/0.77 ![X0]: (mult(X0,mult(X0,mult(mult(X0,X0),mult(X0,X0))))=ld(mult(X0,X0),unit))),
% 2.66/0.77 inference(paramodulation,[status(thm)],[f70,f98])).
% 2.66/0.77 fof(f265,plain,(
% 2.66/0.77 ![X0,X1]: (mult(mult(X0,X0),mult(mult(X0,X0),X1))=mult(mult(X0,mult(X0,mult(X0,X0))),X1))),
% 2.66/0.77 inference(paramodulation,[status(thm)],[f98,f98])).
% 2.66/0.77 fof(f284,plain,(
% 2.66/0.77 ![X0]: (mult(X0,X0)=ld(mult(X0,X0),unit))),
% 2.66/0.77 inference(forward_demodulation,[status(thm)],[f188,f262])).
% 2.66/0.77 fof(f285,plain,(
% 2.66/0.77 ![X0,X1]: (mult(X0,mult(X0,mult(mult(X0,X0),X1)))=mult(mult(X0,mult(X0,mult(X0,X0))),X1))),
% 2.66/0.77 inference(forward_demodulation,[status(thm)],[f98,f265])).
% 2.66/0.77 fof(f286,plain,(
% 2.66/0.77 ![X0,X1]: (mult(X0,mult(X0,mult(X0,mult(X0,X1))))=mult(mult(X0,mult(X0,mult(X0,X0))),X1))),
% 2.66/0.77 inference(forward_demodulation,[status(thm)],[f98,f285])).
% 2.66/0.77 fof(f287,plain,(
% 2.66/0.77 ![X0,X1]: (mult(X0,mult(X0,mult(X0,mult(X0,X1))))=mult(mult(X0,ld(X0,unit)),X1))),
% 2.66/0.77 inference(forward_demodulation,[status(thm)],[f70,f286])).
% 2.66/0.77 fof(f288,plain,(
% 2.66/0.77 ![X0,X1]: (mult(X0,mult(X0,mult(X0,mult(X0,X1))))=mult(unit,X1))),
% 2.66/0.77 inference(forward_demodulation,[status(thm)],[f11,f287])).
% 2.66/0.77 fof(f289,plain,(
% 2.66/0.77 ![X0,X1]: (mult(X0,mult(X0,mult(X0,mult(X0,X1))))=X1)),
% 2.66/0.77 inference(forward_demodulation,[status(thm)],[f16,f288])).
% 2.66/0.77 fof(f375,plain,(
% 2.66/0.77 ![X0,X1]: (ld(X0,X1)=mult(X0,rd(X1,mult(X0,X0))))),
% 2.66/0.77 inference(paramodulation,[status(thm)],[f158,f12])).
% 2.66/0.77 fof(f428,plain,(
% 2.66/0.77 ![X0,X1]: (mult(X0,mult(X0,mult(X0,X1)))=mult(ld(X0,unit),X1))),
% 2.66/0.77 inference(paramodulation,[status(thm)],[f70,f91])).
% 2.66/0.77 fof(f433,plain,(
% 2.66/0.77 ![X0,X1]: (mult(mult(X0,X0),mult(mult(X0,X0),X1))=mult(mult(X0,X0),mult(X0,mult(X0,X1))))),
% 2.66/0.77 inference(paramodulation,[status(thm)],[f91,f98])).
% 2.66/0.77 fof(f442,plain,(
% 2.66/0.77 ![X0,X1,X2]: (mult(mult(X0,mult(X1,X1)),mult(mult(X0,mult(X1,X1)),X2))=mult(mult(X0,mult(X1,mult(X1,mult(X0,mult(X1,X1))))),X2))),
% 2.66/0.77 inference(paramodulation,[status(thm)],[f91,f98])).
% 2.66/0.77 fof(f449,plain,(
% 2.66/0.77 ![X0,X1]: (ld(mult(X0,mult(X1,X1)),unit)=mult(mult(X0,mult(X1,X1)),mult(X0,mult(X1,mult(X1,mult(X0,mult(X1,X1)))))))),
% 2.66/0.77 inference(paramodulation,[status(thm)],[f91,f70])).
% 2.66/0.77 fof(f498,plain,(
% 2.66/0.77 ![X0,X1]: (mult(X0,mult(X0,mult(mult(X0,X0),X1)))=mult(mult(X0,X0),mult(X0,mult(X0,X1))))),
% 2.66/0.77 inference(forward_demodulation,[status(thm)],[f98,f433])).
% 2.66/0.77 fof(f499,plain,(
% 2.66/0.77 ![X0,X1]: (mult(X0,mult(X0,mult(X0,mult(X0,X1))))=mult(mult(X0,X0),mult(X0,mult(X0,X1))))),
% 2.66/0.77 inference(forward_demodulation,[status(thm)],[f98,f498])).
% 2.66/0.77 fof(f500,plain,(
% 2.66/0.77 ![X0,X1]: (X0=mult(mult(X1,X1),mult(X1,mult(X1,X0))))),
% 2.66/0.77 inference(forward_demodulation,[status(thm)],[f289,f499])).
% 2.66/0.77 fof(f501,plain,(
% 2.66/0.77 ![X0,X1]: (X0=mult(X1,mult(X1,mult(X1,mult(X1,X0)))))),
% 2.66/0.77 inference(forward_demodulation,[status(thm)],[f98,f500])).
% 2.66/0.77 fof(f504,plain,(
% 2.66/0.77 ![X0,X1]: (X0=mult(ld(X1,unit),mult(X1,X0)))),
% 2.66/0.77 inference(forward_demodulation,[status(thm)],[f428,f501])).
% 2.66/0.77 fof(f518,plain,(
% 2.66/0.77 ![X0,X1,X2]: (mult(X0,mult(X1,mult(X1,mult(mult(X0,mult(X1,X1)),X2))))=mult(mult(X0,mult(X1,mult(X1,mult(X0,mult(X1,X1))))),X2))),
% 2.66/0.77 inference(forward_demodulation,[status(thm)],[f91,f442])).
% 2.66/0.77 fof(f519,plain,(
% 2.66/0.77 ![X0,X1,X2]: (mult(X0,mult(X1,mult(X1,mult(X0,mult(X1,mult(X1,X2))))))=mult(mult(X0,mult(X1,mult(X1,mult(X0,mult(X1,X1))))),X2))),
% 2.66/0.77 inference(forward_demodulation,[status(thm)],[f91,f518])).
% 2.66/0.77 fof(f520,plain,(
% 2.66/0.77 ![X0,X1,X2]: (mult(X0,mult(X1,mult(X1,mult(X0,mult(X1,mult(X1,X2))))))=mult(mult(X0,X0),X2))),
% 2.66/0.77 inference(forward_demodulation,[status(thm)],[f188,f519])).
% 2.66/0.77 fof(f522,plain,(
% 2.66/0.77 ![X0,X1,X2]: (mult(X0,mult(X1,mult(X1,mult(X0,mult(X1,mult(X1,X2))))))=mult(X0,mult(X0,X2)))),
% 2.66/0.77 inference(forward_demodulation,[status(thm)],[f98,f520])).
% 2.66/0.77 fof(f537,plain,(
% 2.66/0.77 ![X0,X1]: (ld(mult(X0,mult(X1,X1)),unit)=mult(X0,mult(X1,mult(X1,mult(X0,mult(X1,mult(X1,mult(X0,mult(X1,X1)))))))))),
% 2.66/0.77 inference(forward_demodulation,[status(thm)],[f91,f449])).
% 2.66/0.77 fof(f538,plain,(
% 2.66/0.77 ![X0,X1]: (ld(mult(X0,mult(X1,X1)),unit)=mult(X0,mult(X0,mult(X0,mult(X1,X1)))))),
% 2.66/0.77 inference(forward_demodulation,[status(thm)],[f522,f537])).
% 2.66/0.77 fof(f540,plain,(
% 2.66/0.77 ![X0,X1]: (ld(mult(X0,mult(X1,X1)),unit)=mult(ld(X0,unit),mult(X1,X1)))),
% 2.66/0.77 inference(forward_demodulation,[status(thm)],[f428,f538])).
% 2.66/0.77 fof(f559,plain,(
% 2.66/0.77 ![X0,X1]: (ld(X0,X1)=mult(ld(X0,unit),X1))),
% 2.66/0.77 inference(paramodulation,[status(thm)],[f11,f504])).
% 2.66/0.77 fof(f563,plain,(
% 2.66/0.77 ![X0,X1]: (rd(X0,mult(X1,X0))=ld(X1,unit))),
% 2.66/0.77 inference(paramodulation,[status(thm)],[f504,f14])).
% 2.66/0.77 fof(f564,plain,(
% 2.66/0.77 ![X0,X1]: (ld(ld(X0,unit),X1)=mult(X0,X1))),
% 2.66/0.77 inference(paramodulation,[status(thm)],[f504,f12])).
% 2.66/0.77 fof(f588,plain,(
% 2.66/0.77 ![X0,X1]: (ld(mult(X0,mult(X1,X1)),unit)=ld(X0,mult(X1,X1)))),
% 2.66/0.77 inference(backward_demodulation,[status(thm)],[f559,f540])).
% 2.66/0.77 fof(f689,plain,(
% 2.66/0.77 ![X0,X1]: (ld(X0,mult(X1,X1))=mult(mult(X1,X1),ld(X0,unit)))),
% 2.66/0.77 inference(paramodulation,[status(thm)],[f19,f559])).
% 2.66/0.77 fof(f693,plain,(
% 2.66/0.77 ![X0,X1]: (ld(mult(X0,X0),X1)=mult(mult(X0,X0),X1))),
% 2.66/0.77 inference(paramodulation,[status(thm)],[f284,f559])).
% 2.66/0.77 fof(f702,plain,(
% 2.66/0.77 ![X0,X1,X2]: (mult(X0,mult(ld(X1,unit),mult(ld(X1,unit),X2)))=mult(mult(X0,ld(X1,ld(X1,unit))),X2))),
% 2.66/0.77 inference(paramodulation,[status(thm)],[f559,f91])).
% 2.66/0.77 fof(f705,plain,(
% 2.66/0.77 ![X0,X1]: (mult(ld(X0,unit),mult(X1,X1))=mult(ld(X0,X1),X1))),
% 2.66/0.77 inference(paramodulation,[status(thm)],[f559,f93])).
% 2.66/0.77 fof(f706,plain,(
% 2.66/0.77 ![X0,X1]: (mult(mult(ld(X0,unit),ld(X0,unit)),X1)=mult(X1,ld(X0,ld(X0,unit))))),
% 2.66/0.77 inference(paramodulation,[status(thm)],[f559,f19])).
% 2.66/0.77 fof(f713,plain,(
% 2.66/0.77 ![X0,X1]: (ld(X0,mult(X1,X1))=mult(X1,mult(X1,ld(X0,unit))))),
% 2.66/0.77 inference(forward_demodulation,[status(thm)],[f98,f689])).
% 2.66/0.77 fof(f719,plain,(
% 2.66/0.77 ![X0,X1]: (mult(X0,mult(X0,X1))=ld(mult(X0,X0),X1))),
% 2.66/0.77 inference(backward_demodulation,[status(thm)],[f693,f98])).
% 2.66/0.77 fof(f720,plain,(
% 2.66/0.77 ![X0,X1]: (ld(mult(X0,X0),X1)=mult(X1,mult(X0,X0)))),
% 2.66/0.77 inference(backward_demodulation,[status(thm)],[f693,f19])).
% 2.66/0.77 fof(f731,plain,(
% 2.66/0.77 ![X0,X1,X2]: (mult(X0,ld(X1,mult(ld(X1,unit),X2)))=mult(mult(X0,ld(X1,ld(X1,unit))),X2))),
% 2.66/0.77 inference(forward_demodulation,[status(thm)],[f559,f702])).
% 2.66/0.77 fof(f732,plain,(
% 2.66/0.77 ![X0,X1,X2]: (mult(X0,ld(X1,ld(X1,X2)))=mult(mult(X0,ld(X1,ld(X1,unit))),X2))),
% 2.66/0.77 inference(forward_demodulation,[status(thm)],[f559,f731])).
% 2.66/0.77 fof(f734,plain,(
% 2.66/0.77 ![X0,X1,X2]: (mult(X0,ld(X1,ld(X1,X2)))=mult(mult(X0,mult(X1,X1)),X2))),
% 2.66/0.77 inference(forward_demodulation,[status(thm)],[f110,f732])).
% 2.66/0.77 fof(f742,plain,(
% 2.66/0.77 ![X0,X1]: (ld(X0,mult(X1,X1))=mult(ld(X0,X1),X1))),
% 2.66/0.77 inference(forward_demodulation,[status(thm)],[f559,f705])).
% 2.66/0.77 fof(f743,plain,(
% 2.66/0.77 ![X0,X1]: (mult(ld(X0,unit),mult(ld(X0,unit),X1))=mult(X1,ld(X0,ld(X0,unit))))),
% 2.66/0.77 inference(forward_demodulation,[status(thm)],[f98,f706])).
% 2.66/0.77 fof(f744,plain,(
% 2.66/0.77 ![X0,X1]: (ld(X0,mult(ld(X0,unit),X1))=mult(X1,ld(X0,ld(X0,unit))))),
% 2.66/0.77 inference(forward_demodulation,[status(thm)],[f559,f743])).
% 2.66/0.77 fof(f745,plain,(
% 2.66/0.77 ![X0,X1]: (ld(X0,ld(X0,X1))=mult(X1,ld(X0,ld(X0,unit))))),
% 2.66/0.77 inference(forward_demodulation,[status(thm)],[f559,f744])).
% 2.66/0.77 fof(f746,plain,(
% 2.66/0.77 ![X0,X1]: (ld(X0,ld(X0,X1))=mult(mult(X1,X0),X0))),
% 2.66/0.77 inference(backward_demodulation,[status(thm)],[f770,f93])).
% 2.66/0.77 fof(f748,plain,(
% 2.66/0.77 ![X0,X1]: (ld(X0,ld(X0,rd(X1,X0)))=mult(X1,X0))),
% 2.66/0.77 inference(backward_demodulation,[status(thm)],[f770,f173])).
% 2.66/0.77 fof(f749,plain,(
% 2.66/0.77 ![X0,X1]: (ld(X0,ld(X0,mult(X1,X0)))=mult(X1,ld(X0,unit)))),
% 2.66/0.77 inference(backward_demodulation,[status(thm)],[f770,f190])).
% 2.66/0.77 fof(f751,plain,(
% 2.66/0.77 ![X0,X1,X2]: (mult(X0,ld(X1,ld(X1,X2)))=mult(ld(X1,ld(X1,X0)),X2))),
% 2.66/0.77 inference(backward_demodulation,[status(thm)],[f770,f734])).
% 2.66/0.77 fof(f755,plain,(
% 2.66/0.77 ![X0,X1]: (ld(ld(X0,ld(X0,X1)),unit)=ld(X1,mult(X0,X0)))),
% 2.66/0.77 inference(backward_demodulation,[status(thm)],[f770,f588])).
% 2.66/0.77 fof(f760,plain,(
% 2.66/0.77 ![X0,X1]: (mult(X0,mult(X0,X1))=ld(X0,ld(X0,X1)))),
% 2.66/0.77 inference(backward_demodulation,[status(thm)],[f770,f260])).
% 2.66/0.77 fof(f761,plain,(
% 2.66/0.77 ![X0,X1]: (ld(mult(X0,X1),ld(X1,ld(X1,X0)))=X1)),
% 2.66/0.77 inference(backward_demodulation,[status(thm)],[f770,f183])).
% 2.66/0.77 fof(f766,plain,(
% 2.66/0.77 ![X0,X1]: (rd(ld(X0,ld(X0,X1)),X1)=mult(X0,X0))),
% 2.66/0.77 inference(backward_demodulation,[status(thm)],[f770,f149])).
% 2.66/0.77 fof(f770,plain,(
% 2.66/0.77 ![X0,X1]: (ld(X0,ld(X0,X1))=mult(X1,mult(X0,X0)))),
% 2.66/0.77 inference(forward_demodulation,[status(thm)],[f110,f745])).
% 2.66/0.77 fof(f785,plain,(
% 2.66/0.77 ![X0,X1]: (ld(X0,mult(X1,X1))=ld(mult(X1,X1),ld(X0,unit)))),
% 2.66/0.77 inference(backward_demodulation,[status(thm)],[f719,f713])).
% 2.66/0.77 fof(f794,plain,(
% 2.66/0.77 ![X0,X1]: (ld(X0,ld(mult(X1,X1),X0))=mult(X1,X1))),
% 2.66/0.77 inference(backward_demodulation,[status(thm)],[f719,f167])).
% 2.66/0.77 fof(f796,plain,(
% 2.66/0.77 ![X0,X1,X2]: (mult(rd(X0,X1),ld(mult(X1,X1),X2))=mult(mult(X0,X1),X2))),
% 2.66/0.77 inference(backward_demodulation,[status(thm)],[f719,f83])).
% 2.66/0.77 fof(f800,plain,(
% 2.66/0.77 ![X0,X1]: (ld(mult(X0,X0),X1)=ld(X0,ld(X0,X1)))),
% 2.66/0.77 inference(forward_demodulation,[status(thm)],[f770,f720])).
% 2.66/0.77 fof(f827,plain,(
% 2.66/0.77 ![X0,X1]: (ld(X0,mult(X1,X1))=ld(X1,ld(X1,ld(X0,unit))))),
% 2.66/0.77 inference(forward_demodulation,[status(thm)],[f800,f785])).
% 2.66/0.77 fof(f844,plain,(
% 2.66/0.77 ![X0,X1]: (ld(X0,ld(X1,ld(X1,X0)))=mult(X1,X1))),
% 2.66/0.77 inference(forward_demodulation,[status(thm)],[f800,f794])).
% 2.66/0.77 fof(f846,plain,(
% 2.66/0.77 ![X0,X1,X2]: (mult(rd(X0,X1),ld(X1,ld(X1,X2)))=mult(mult(X0,X1),X2))),
% 2.66/0.77 inference(forward_demodulation,[status(thm)],[f800,f796])).
% 2.66/0.77 fof(f854,plain,(
% 2.66/0.77 ![X0,X1]: (rd(X0,X1)=ld(rd(X1,X0),unit))),
% 2.66/0.77 inference(paramodulation,[status(thm)],[f13,f563])).
% 2.66/0.77 fof(f876,plain,(
% 2.66/0.77 ![X0,X1]: (rd(X0,ld(X1,ld(X1,X0)))=mult(X1,X1))),
% 2.66/0.77 inference(paramodulation,[status(thm)],[f800,f47])).
% 2.66/0.77 fof(f982,plain,(
% 2.66/0.77 ![X0,X1,X2]: (ld(rd(X0,X1),X2)=mult(rd(X1,X0),X2))),
% 2.66/0.77 inference(paramodulation,[status(thm)],[f854,f564])).
% 2.66/0.77 fof(f984,plain,(
% 2.66/0.77 ![X0,X1]: (ld(rd(X0,X1),rd(X1,X0))=mult(rd(X0,X1),rd(X0,X1)))),
% 2.66/0.77 inference(paramodulation,[status(thm)],[f854,f110])).
% 2.66/0.77 fof(f998,plain,(
% 2.66/0.77 ![X0,X1,X2]: (ld(rd(X0,X1),ld(X0,ld(X0,X2)))=mult(mult(X1,X0),X2))),
% 2.66/0.77 inference(backward_demodulation,[status(thm)],[f982,f846])).
% 2.66/0.77 fof(f999,plain,(
% 2.66/0.77 ![X0,X1]: (ld(rd(X0,X1),rd(X1,X0))=ld(rd(X1,X0),rd(X0,X1)))),
% 2.66/0.77 inference(forward_demodulation,[status(thm)],[f982,f984])).
% 2.66/0.77 fof(f1009,plain,(
% 2.66/0.77 ![X0,X1]: (ld(X0,mult(X1,mult(X0,X0)))=mult(X0,X1))),
% 2.66/0.77 inference(paramodulation,[status(thm)],[f14,f375])).
% 2.66/0.77 fof(f1027,plain,(
% 2.66/0.77 ![X0,X1]: (ld(X0,ld(X0,ld(X0,X1)))=mult(X0,X1))),
% 2.66/0.77 inference(forward_demodulation,[status(thm)],[f770,f1009])).
% 2.66/0.77 fof(f1248,plain,(
% 2.66/0.77 ![X0,X1]: (mult(X0,mult(X1,X0))=ld(X0,rd(X1,X0)))),
% 2.66/0.77 inference(paramodulation,[status(thm)],[f748,f11])).
% 2.66/0.77 fof(f1279,plain,(
% 2.66/0.77 ~mult(mult(a,b),a)=ld(a,rd(b,a))),
% 2.66/0.77 inference(backward_demodulation,[status(thm)],[f1248,f20])).
% 2.66/0.77 fof(f1298,plain,(
% 2.66/0.77 ![X0,X1]: (ld(mult(X0,X1),ld(mult(X0,X1),X0))=mult(ld(X0,ld(X0,X1)),mult(X0,X1)))),
% 2.66/0.77 inference(paramodulation,[status(thm)],[f760,f746])).
% 2.66/0.77 fof(f1337,plain,(
% 2.66/0.77 ![X0,X1]: (ld(mult(X0,X1),ld(mult(X0,X1),X0))=mult(X1,ld(X0,ld(X0,mult(X0,X1)))))),
% 2.66/0.77 inference(forward_demodulation,[status(thm)],[f751,f1298])).
% 2.66/0.77 fof(f1338,plain,(
% 2.66/0.77 ![X0,X1]: (ld(mult(X0,X1),ld(mult(X0,X1),X0))=mult(X1,ld(X0,X1)))),
% 2.66/0.77 inference(forward_demodulation,[status(thm)],[f12,f1337])).
% 2.66/0.77 fof(f1478,plain,(
% 2.66/0.77 ![X0,X1]: (rd(ld(mult(X0,X1),X1),ld(X1,ld(X1,X0)))=mult(mult(X0,X1),mult(X0,X1)))),
% 2.66/0.77 inference(paramodulation,[status(thm)],[f761,f766])).
% 2.66/0.77 fof(f1485,plain,(
% 2.66/0.77 ![X0,X1]: (rd(ld(X0,X1),mult(X0,X1))=mult(X0,X0))),
% 2.66/0.77 inference(paramodulation,[status(thm)],[f12,f766])).
% 2.66/0.77 fof(f1575,plain,(
% 2.66/0.77 ![X0,X1]: (ld(X0,ld(rd(X0,X1),X1))=mult(rd(X0,X1),rd(X0,X1)))),
% 2.66/0.77 inference(paramodulation,[status(thm)],[f42,f844])).
% 2.66/0.77 fof(f1623,plain,(
% 2.66/0.77 ![X0,X1]: (ld(rd(X0,X1),rd(X1,X0))=ld(X0,ld(rd(X0,X1),X1)))),
% 2.66/0.77 inference(backward_demodulation,[status(thm)],[f1624,f999])).
% 2.66/0.77 fof(f1624,plain,(
% 2.66/0.77 ![X0,X1]: (ld(X0,ld(rd(X0,X1),X1))=ld(rd(X1,X0),rd(X0,X1)))),
% 2.66/0.77 inference(forward_demodulation,[status(thm)],[f982,f1575])).
% 2.66/0.77 fof(f1653,plain,(
% 2.66/0.77 ![X0,X1]: (rd(X0,ld(rd(X0,X1),X1))=mult(rd(X0,X1),rd(X0,X1)))),
% 2.66/0.77 inference(paramodulation,[status(thm)],[f42,f876])).
% 2.66/0.77 fof(f1692,plain,(
% 2.66/0.77 ![X0,X1]: (rd(X0,ld(rd(X0,X1),X1))=ld(rd(X1,X0),rd(X0,X1)))),
% 2.66/0.77 inference(forward_demodulation,[status(thm)],[f982,f1653])).
% 2.66/0.77 fof(f1693,plain,(
% 2.66/0.77 ![X0,X1]: (rd(X0,ld(rd(X0,X1),X1))=ld(X1,ld(rd(X1,X0),X0)))),
% 2.66/0.77 inference(forward_demodulation,[status(thm)],[f1623,f1692])).
% 2.66/0.77 fof(f1774,plain,(
% 2.66/0.77 ![X0,X1]: (ld(X0,ld(X0,mult(X1,X0)))=mult(X0,ld(X0,rd(X1,X0))))),
% 2.66/0.77 inference(paramodulation,[status(thm)],[f748,f1027])).
% 2.66/0.77 fof(f1830,plain,(
% 2.66/0.77 ![X0,X1]: (mult(X0,ld(X1,unit))=mult(X1,ld(X1,rd(X0,X1))))),
% 2.66/0.77 inference(forward_demodulation,[status(thm)],[f749,f1774])).
% 2.66/0.77 fof(f1839,plain,(
% 2.66/0.77 ![X0,X1]: (mult(X0,ld(X1,unit))=rd(X0,X1))),
% 2.66/0.77 inference(forward_demodulation,[status(thm)],[f11,f1830])).
% 2.66/0.77 fof(f1864,plain,(
% 2.66/0.77 ![X0,X1]: (ld(X0,ld(X1,unit))=rd(ld(X0,unit),X1))),
% 2.66/0.77 inference(paramodulation,[status(thm)],[f559,f1839])).
% 2.66/0.77 fof(f1868,plain,(
% 2.66/0.77 ![X0,X1]: (mult(X0,mult(X1,unit))=rd(X0,ld(X1,unit)))),
% 2.66/0.77 inference(paramodulation,[status(thm)],[f564,f1839])).
% 2.66/0.77 fof(f1887,plain,(
% 2.66/0.77 ![X0,X1]: (rd(ld(X0,unit),rd(X1,X0))=ld(X1,unit))),
% 2.66/0.77 inference(paramodulation,[status(thm)],[f1839,f563])).
% 2.66/0.77 fof(f1903,plain,(
% 2.66/0.77 ![X0,X1]: (mult(X0,X1)=rd(X0,ld(X1,unit)))),
% 2.66/0.77 inference(forward_demodulation,[status(thm)],[f15,f1868])).
% 2.66/0.77 fof(f1943,plain,(
% 2.66/0.77 ![X0,X1]: (ld(X0,ld(rd(X1,X0),unit))=ld(X1,unit))),
% 2.66/0.77 inference(forward_demodulation,[status(thm)],[f1864,f1887])).
% 2.66/0.77 fof(f1944,plain,(
% 2.66/0.77 ![X0,X1]: (ld(X0,rd(X0,X1))=ld(X1,unit))),
% 2.66/0.77 inference(forward_demodulation,[status(thm)],[f854,f1943])).
% 2.66/0.77 fof(f2136,plain,(
% 2.66/0.77 ![X0,X1]: (ld(mult(X0,X1),X0)=ld(X1,unit))),
% 2.66/0.77 inference(paramodulation,[status(thm)],[f1903,f42])).
% 2.66/0.77 fof(f2164,plain,(
% 2.66/0.77 ![X0,X1]: (ld(mult(X0,X1),ld(X1,unit))=mult(X1,ld(X0,X1)))),
% 2.66/0.77 inference(backward_demodulation,[status(thm)],[f2136,f1338])).
% 2.66/0.77 fof(f2176,plain,(
% 2.66/0.77 ![X0,X1]: (ld(X0,X1)=ld(ld(X1,X0),unit))),
% 2.66/0.77 inference(paramodulation,[status(thm)],[f47,f1944])).
% 2.66/0.77 fof(f2188,plain,(
% 2.66/0.77 ![X0,X1]: (ld(X0,mult(rd(X0,X1),rd(X0,X1)))=mult(ld(X1,unit),rd(X0,X1)))),
% 2.66/0.77 inference(paramodulation,[status(thm)],[f1944,f742])).
% 2.66/0.77 fof(f2197,plain,(
% 2.66/0.77 ![X0,X1]: (ld(ld(X0,X1),X0)=ld(X1,mult(X0,X0)))),
% 2.66/0.77 inference(backward_demodulation,[status(thm)],[f2176,f755])).
% 2.66/0.77 fof(f2206,plain,(
% 2.66/0.77 ![X0,X1]: (ld(X0,ld(rd(X1,X0),rd(X0,X1)))=mult(ld(X1,unit),rd(X0,X1)))),
% 2.66/0.77 inference(forward_demodulation,[status(thm)],[f982,f2188])).
% 2.66/0.77 fof(f2207,plain,(
% 2.66/0.77 ![X0,X1]: (ld(X0,ld(X1,ld(rd(X1,X0),X0)))=mult(ld(X1,unit),rd(X0,X1)))),
% 2.66/0.77 inference(forward_demodulation,[status(thm)],[f1623,f2206])).
% 2.66/0.77 fof(f2208,plain,(
% 2.66/0.77 ![X0,X1]: (ld(X0,ld(X1,ld(rd(X1,X0),X0)))=ld(X1,rd(X0,X1)))),
% 2.66/0.77 inference(forward_demodulation,[status(thm)],[f559,f2207])).
% 2.66/0.77 fof(f2237,plain,(
% 2.66/0.77 ![X0,X1]: (ld(mult(X0,X1),ld(mult(X0,X1),ld(X1,unit)))=mult(mult(X0,X1),X0))),
% 2.66/0.78 inference(paramodulation,[status(thm)],[f2136,f1027])).
% 2.66/0.78 fof(f2239,plain,(
% 2.66/0.78 ![X0,X1]: (ld(X0,ld(mult(X0,X1),ld(X1,unit)))=mult(mult(X0,X1),mult(X0,X1)))),
% 2.66/0.78 inference(paramodulation,[status(thm)],[f2136,f844])).
% 2.66/0.78 fof(f2273,plain,(
% 2.66/0.78 ![X0,X1]: (ld(X0,mult(mult(X1,X0),mult(X1,X0)))=mult(mult(X1,X0),X1))),
% 2.66/0.78 inference(forward_demodulation,[status(thm)],[f827,f2237])).
% 2.66/0.78 fof(f2276,plain,(
% 2.66/0.78 ![X0,X1]: (ld(X0,ld(X1,mult(X0,ld(X1,X0))))=mult(mult(X1,X0),X1))),
% 2.66/0.78 inference(backward_demodulation,[status(thm)],[f2281,f2273])).
% 2.66/0.78 fof(f2279,plain,(
% 2.66/0.78 ![X0,X1]: (rd(ld(mult(X0,X1),X1),ld(X1,ld(X1,X0)))=ld(X0,mult(X1,ld(X0,X1))))),
% 2.66/0.78 inference(backward_demodulation,[status(thm)],[f2281,f1478])).
% 2.66/0.78 fof(f2281,plain,(
% 2.66/0.78 ![X0,X1]: (ld(X0,mult(X1,ld(X0,X1)))=mult(mult(X0,X1),mult(X0,X1)))),
% 2.66/0.78 inference(forward_demodulation,[status(thm)],[f2164,f2239])).
% 2.66/0.78 fof(f2306,plain,(
% 2.66/0.78 ![X0,X1,X2]: (mult(X0,ld(X1,X2))=rd(X0,ld(X2,X1)))),
% 2.66/0.78 inference(paramodulation,[status(thm)],[f2176,f1903])).
% 2.66/0.78 fof(f2308,plain,(
% 2.66/0.78 ![X0,X1,X2]: (ld(ld(X0,X1),X2)=mult(ld(X1,X0),X2))),
% 2.66/0.78 inference(paramodulation,[status(thm)],[f2176,f564])).
% 2.66/0.78 fof(f2343,plain,(
% 2.66/0.78 ![X0,X1]: (mult(ld(mult(X0,X1),X1),ld(ld(X1,X0),X1))=ld(X0,mult(X1,ld(X0,X1))))),
% 2.66/0.78 inference(backward_demodulation,[status(thm)],[f2306,f2279])).
% 2.66/0.78 fof(f2354,plain,(
% 2.66/0.78 ![X0,X1]: (mult(X0,ld(X1,rd(X0,X1)))=ld(X1,ld(rd(X1,X0),X0)))),
% 2.66/0.78 inference(backward_demodulation,[status(thm)],[f2306,f1693])).
% 2.66/0.78 fof(f2386,plain,(
% 2.66/0.78 ![X0,X1]: (ld(ld(X0,mult(X1,X0)),ld(ld(X0,X1),X0))=ld(X1,mult(X0,ld(X1,X0))))),
% 2.66/0.78 inference(forward_demodulation,[status(thm)],[f2308,f2343])).
% 2.66/0.78 fof(f2387,plain,(
% 2.66/0.78 ![X0,X1]: (ld(ld(X0,mult(X1,X0)),ld(X1,mult(X0,X0)))=ld(X1,mult(X0,ld(X1,X0))))),
% 2.66/0.78 inference(forward_demodulation,[status(thm)],[f2197,f2386])).
% 2.66/0.78 fof(f3949,plain,(
% 2.66/0.78 ![X0,X1,X2]: (ld(rd(X0,X1),mult(X0,X2))=mult(mult(X1,X0),ld(X0,X2)))),
% 2.66/0.78 inference(paramodulation,[status(thm)],[f1027,f998])).
% 2.66/0.78 fof(f4427,plain,(
% 2.66/0.78 ![X0,X1]: (rd(X0,mult(mult(X1,X0),ld(X0,ld(X0,X1))))=mult(mult(X1,X0),mult(X1,X0)))),
% 2.66/0.78 inference(paramodulation,[status(thm)],[f761,f1485])).
% 2.66/0.78 fof(f4445,plain,(
% 2.66/0.78 ![X0,X1]: (rd(ld(mult(X0,X1),X1),ld(X1,ld(X1,X0)))=mult(mult(X0,X1),mult(X0,X1)))),
% 2.66/0.78 inference(paramodulation,[status(thm)],[f746,f1485])).
% 2.66/0.78 fof(f4499,plain,(
% 2.66/0.78 ![X0,X1]: (rd(X0,ld(rd(X0,X1),mult(X0,ld(X0,X1))))=mult(mult(X1,X0),mult(X1,X0)))),
% 2.66/0.78 inference(forward_demodulation,[status(thm)],[f3949,f4427])).
% 2.66/0.78 fof(f4500,plain,(
% 2.66/0.78 ![X0,X1]: (mult(X0,ld(mult(X0,ld(X0,X1)),rd(X0,X1)))=mult(mult(X1,X0),mult(X1,X0)))),
% 2.66/0.78 inference(forward_demodulation,[status(thm)],[f2306,f4499])).
% 2.66/0.78 fof(f4501,plain,(
% 2.66/0.78 ![X0,X1]: (mult(X0,ld(X1,rd(X0,X1)))=mult(mult(X1,X0),mult(X1,X0)))),
% 2.66/0.78 inference(forward_demodulation,[status(thm)],[f11,f4500])).
% 2.66/0.78 fof(f4503,plain,(
% 2.66/0.78 ![X0,X1]: (ld(X0,ld(rd(X0,X1),X1))=mult(mult(X0,X1),mult(X0,X1)))),
% 2.66/0.78 inference(forward_demodulation,[status(thm)],[f2354,f4501])).
% 2.66/0.78 fof(f4576,plain,(
% 2.66/0.78 ![X0,X1]: (mult(ld(mult(X0,X1),X1),ld(ld(X1,X0),X1))=mult(mult(X0,X1),mult(X0,X1)))),
% 2.66/0.78 inference(forward_demodulation,[status(thm)],[f2306,f4445])).
% 2.66/0.79 fof(f4577,plain,(
% 2.66/0.79 ![X0,X1]: (ld(ld(X0,mult(X1,X0)),ld(ld(X0,X1),X0))=mult(mult(X1,X0),mult(X1,X0)))),
% 2.66/0.79 inference(forward_demodulation,[status(thm)],[f2308,f4576])).
% 2.66/0.79 fof(f4578,plain,(
% 2.66/0.79 ![X0,X1]: (ld(ld(X0,mult(X1,X0)),ld(X1,mult(X0,X0)))=mult(mult(X1,X0),mult(X1,X0)))),
% 2.66/0.79 inference(forward_demodulation,[status(thm)],[f2197,f4577])).
% 2.66/0.79 fof(f4579,plain,(
% 2.66/0.79 ![X0,X1]: (ld(X0,mult(X1,ld(X0,X1)))=mult(mult(X0,X1),mult(X0,X1)))),
% 2.66/0.79 inference(forward_demodulation,[status(thm)],[f2387,f4578])).
% 2.66/0.79 fof(f4588,plain,(
% 2.66/0.79 ![X0,X1]: (ld(X0,ld(X1,ld(rd(X1,X0),X0)))=mult(mult(X1,X0),X1))),
% 2.66/0.79 inference(backward_demodulation,[status(thm)],[f4591,f2276])).
% 2.66/0.79 fof(f4591,plain,(
% 2.66/0.79 ![X0,X1]: (ld(X0,mult(X1,ld(X0,X1)))=ld(X0,ld(rd(X0,X1),X1)))),
% 2.66/0.79 inference(forward_demodulation,[status(thm)],[f4503,f4579])).
% 2.66/0.79 fof(f4661,plain,(
% 2.66/0.79 ~ld(a,rd(b,a))=ld(a,rd(b,a))),
% 2.66/0.79 inference(backward_demodulation,[status(thm)],[f4680,f1279])).
% 2.66/0.79 fof(f4680,plain,(
% 2.66/0.79 ![X0,X1]: (ld(X0,rd(X1,X0))=mult(mult(X0,X1),X0))),
% 2.66/0.79 inference(forward_demodulation,[status(thm)],[f2208,f4588])).
% 2.66/0.80 fof(f4687,plain,(
% 2.66/0.80 $false),
% 2.66/0.80 inference(trivial_equality_resolution,[status(thm)],[f4661])).
% 2.66/0.80 % SZS output end CNFRefutation for theBenchmark.p
% 2.66/0.81 % Elapsed time: 0.431869 seconds
% 2.66/0.81 % CPU time: 3.130057 seconds
% 2.66/0.81 % Total memory used: 50.762 MB
% 2.66/0.81 % Net memory used: 47.742 MB
%------------------------------------------------------------------------------