%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP682+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 : n016.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 12:37:10 PM UTC 2026
% Result : Theorem 0.13s 0.48s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP682+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n016.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sun Sep 20 20:37:37 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 0.13/0.48 % Refutation found
% 0.13/0.48 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.48 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.48 fof(f1,axiom,(
% 0.13/0.48 (! [A] : ld(A,mult(A,A)) = A )),
% 0.13/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.48 fof(f2,axiom,(
% 0.13/0.48 (! [A] : rd(mult(A,A),A) = A )),
% 0.13/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.48 fof(f3,axiom,(
% 0.13/0.48 (! [B,A] : mult(A,ld(A,B)) = ld(A,mult(A,B)) )),
% 0.13/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.48 fof(f4,axiom,(
% 0.13/0.48 (! [B,A] : mult(rd(A,B),B) = rd(mult(A,B),B) )),
% 0.13/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.48 fof(f5,axiom,(
% 0.13/0.48 (! [D,C,B,A] : ld(ld(A,B),mult(ld(A,B),mult(C,D))) = mult(ld(A,mult(A,C)),D) )),
% 0.13/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.48 fof(f6,axiom,(
% 0.13/0.48 (! [D,C,B,A] : rd(mult(mult(A,B),rd(C,D)),rd(C,D)) = mult(A,rd(mult(B,D),D)) )),
% 0.13/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.48 fof(f7,axiom,(
% 0.13/0.48 (! [B,A] : ld(A,mult(A,ld(B,B))) = rd(mult(rd(A,A),B),B) )),
% 0.13/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.48 fof(f8,conjecture,(
% 0.13/0.48 (! [X0,X1,X2] :( ld(ld(X0,X1),mult(ld(X0,X1),X2)) = ld(X0,mult(X0,X2))& ld(rd(X0,X1),mult(rd(X0,X1),X2)) = ld(X0,mult(X0,X2)) ) )),
% 0.13/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.48 fof(f9,negated_conjecture,(
% 0.13/0.48 ~((! [X0,X1,X2] :( ld(ld(X0,X1),mult(ld(X0,X1),X2)) = ld(X0,mult(X0,X2))& ld(rd(X0,X1),mult(rd(X0,X1),X2)) = ld(X0,mult(X0,X2)) ) ))),
% 0.13/0.48 inference(negated_conjecture,[status(cth)],[f8])).
% 0.13/0.48 fof(f10,plain,(
% 0.13/0.48 ![X0]: (ld(X0,mult(X0,X0))=X0)),
% 0.13/0.48 inference(cnf_transformation,[status(thm)],[f1])).
% 0.13/0.48 fof(f11,plain,(
% 0.13/0.48 ![X0]: (rd(mult(X0,X0),X0)=X0)),
% 0.13/0.48 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/0.48 fof(f12,plain,(
% 0.13/0.48 ![X0,X1]: (mult(X0,ld(X0,X1))=ld(X0,mult(X0,X1)))),
% 0.13/0.48 inference(cnf_transformation,[status(thm)],[f3])).
% 0.13/0.48 fof(f13,plain,(
% 0.13/0.48 ![X0,X1]: (mult(rd(X0,X1),X1)=rd(mult(X0,X1),X1))),
% 0.13/0.48 inference(cnf_transformation,[status(thm)],[f4])).
% 0.13/0.48 fof(f14,plain,(
% 0.13/0.48 ![X0,X1,X2,X3]: (ld(ld(X0,X1),mult(ld(X0,X1),mult(X2,X3)))=mult(ld(X0,mult(X0,X2)),X3))),
% 0.13/0.48 inference(cnf_transformation,[status(thm)],[f5])).
% 0.13/0.48 fof(f15,plain,(
% 0.13/0.48 ![X0,X1,X2,X3]: (rd(mult(mult(X0,X1),rd(X2,X3)),rd(X2,X3))=mult(X0,rd(mult(X1,X3),X3)))),
% 0.13/0.48 inference(cnf_transformation,[status(thm)],[f6])).
% 0.13/0.48 fof(f16,plain,(
% 0.13/0.48 ![X0,X1]: (ld(X0,mult(X0,ld(X1,X1)))=rd(mult(rd(X0,X0),X1),X1))),
% 0.13/0.48 inference(cnf_transformation,[status(thm)],[f7])).
% 0.13/0.48 fof(f17,plain,(
% 0.13/0.48 (?[X0,X1,X2]: (~ld(ld(X0,X1),mult(ld(X0,X1),X2))=ld(X0,mult(X0,X2))|~ld(rd(X0,X1),mult(rd(X0,X1),X2))=ld(X0,mult(X0,X2))))),
% 0.13/0.48 inference(pre_NNF_transformation,[status(thm)],[f9])).
% 0.13/0.48 fof(f18,plain,(
% 0.13/0.48 (?[X0,X1,X2]: ~ld(ld(X0,X1),mult(ld(X0,X1),X2))=ld(X0,mult(X0,X2)))|(?[X0,X1,X2]: ~ld(rd(X0,X1),mult(rd(X0,X1),X2))=ld(X0,mult(X0,X2)))),
% 0.13/0.48 inference(miniscoping,[status(thm)],[f17])).
% 0.13/0.48 fof(f19,plain,(
% 0.13/0.48 ~ld(ld(sK0_skl,sK1_skl),mult(ld(sK0_skl,sK1_skl),sK2_skl))=ld(sK0_skl,mult(sK0_skl,sK2_skl))|~ld(rd(sK3_skl,sK4_skl),mult(rd(sK3_skl,sK4_skl),sK5_skl))=ld(sK3_skl,mult(sK3_skl,sK5_skl))),
% 0.13/0.48 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl,sK3_skl,sK4_skl,sK5_skl]),skolemize(X0,sK0_skl),skolemize(X1,sK1_skl),skolemize(X2,sK2_skl),skolemize(X0,sK3_skl),skolemize(X1,sK4_skl),skolemize(X2,sK5_skl)],[f18])).
% 0.13/0.48 fof(f20,plain,(
% 0.13/0.48 ~ld(ld(sK0_skl,sK1_skl),mult(ld(sK0_skl,sK1_skl),sK2_skl))=ld(sK0_skl,mult(sK0_skl,sK2_skl))|~ld(rd(sK3_skl,sK4_skl),mult(rd(sK3_skl,sK4_skl),sK5_skl))=ld(sK3_skl,mult(sK3_skl,sK5_skl))),
% 0.13/0.48 inference(cnf_transformation,[status(thm)],[f19])).
% 0.13/0.48 fof(f24,plain,(
% 0.13/0.48 ![X0,X1,X2]: (ld(X0,mult(ld(X0,mult(X0,X0)),mult(X1,X2)))=mult(ld(X0,mult(X0,X1)),X2))),
% 0.13/0.48 inference(paramodulation,[status(thm)],[f10,f14])).
% 0.13/0.48 fof(f28,plain,(
% 0.13/0.48 ![X0,X1,X2,X3]: (ld(ld(X0,X1),mult(ld(X0,X1),ld(X2,mult(X2,X3))))=mult(ld(X0,mult(X0,X2)),ld(X2,X3)))),
% 0.13/0.48 inference(paramodulation,[status(thm)],[f12,f14])).
% 0.13/0.48 fof(f33,plain,(
% 0.13/0.48 ![X0,X1,X2]: (ld(X0,mult(X0,mult(X1,X2)))=mult(ld(X0,mult(X0,X1)),X2))),
% 0.13/0.48 inference(forward_demodulation,[status(thm)],[f10,f24])).
% 0.13/0.48 fof(f43,plain,(
% 0.13/0.48 ![X0,X1,X2,X3]: (ld(ld(X0,X1),mult(ld(X0,X1),ld(X2,mult(X2,X3))))=ld(X0,mult(X0,mult(X2,ld(X2,X3)))))),
% 0.13/0.48 inference(forward_demodulation,[status(thm)],[f33,f28])).
% 0.13/0.48 fof(f44,plain,(
% 0.13/0.48 ![X0,X1,X2,X3]: (ld(ld(X0,X1),mult(ld(X0,X1),ld(X2,mult(X2,X3))))=ld(X0,mult(X0,ld(X2,mult(X2,X3)))))),
% 0.13/0.48 inference(forward_demodulation,[status(thm)],[f12,f43])).
% 0.13/0.48 fof(f56,plain,(
% 0.13/0.48 ![X0]: (ld(X0,ld(X0,mult(X0,X0)))=rd(mult(rd(X0,X0),X0),X0))),
% 0.13/0.48 inference(paramodulation,[status(thm)],[f12,f16])).
% 0.13/0.48 fof(f58,plain,(
% 0.13/0.48 ![X0,X1]: (mult(X0,rd(mult(rd(X0,X0),X1),X1))=ld(X0,mult(X0,mult(X0,ld(X1,X1)))))),
% 0.13/0.48 inference(paramodulation,[status(thm)],[f16,f12])).
% 0.13/0.48 fof(f59,plain,(
% 0.13/0.48 ![X0]: (ld(X0,X0)=rd(mult(rd(X0,X0),X0),X0))),
% 0.13/0.48 inference(forward_demodulation,[status(thm)],[f10,f56])).
% 0.13/0.48 fof(f60,plain,(
% 0.13/0.48 ![X0]: (ld(X0,X0)=rd(rd(mult(X0,X0),X0),X0))),
% 0.13/0.48 inference(forward_demodulation,[status(thm)],[f13,f59])).
% 0.13/0.48 fof(f64,plain,(
% 0.13/0.48 ![X0]: (ld(X0,X0)=rd(X0,X0))),
% 0.13/0.48 inference(forward_demodulation,[status(thm)],[f11,f60])).
% 0.13/0.48 fof(f68,plain,(
% 0.13/0.48 ![X0,X1]: (mult(X0,rd(mult(rd(X0,X0),X1),X1))=ld(X0,mult(X0,mult(X0,rd(X1,X1)))))),
% 0.13/0.48 inference(forward_demodulation,[status(thm)],[f64,f58])).
% 0.13/0.48 fof(f75,plain,(
% 0.13/0.48 ![X0]: (mult(X0,rd(X0,X0))=ld(X0,mult(X0,X0)))),
% 0.13/0.48 inference(paramodulation,[status(thm)],[f64,f12])).
% 0.13/0.48 fof(f76,plain,(
% 0.13/0.48 ![X0]: (mult(X0,rd(X0,X0))=X0)),
% 0.13/0.48 inference(forward_demodulation,[status(thm)],[f10,f75])).
% 0.13/0.48 fof(f82,plain,(
% 0.13/0.48 ![X0,X1,X2]: (rd(mult(mult(X0,X1),X2),rd(mult(X2,X2),X2))=mult(X0,rd(mult(X1,X2),X2)))),
% 0.13/0.48 inference(paramodulation,[status(thm)],[f11,f15])).
% 0.13/0.48 fof(f92,plain,(
% 0.13/0.48 ![X0,X1,X2,X3]: (rd(mult(mult(X0,X1),rd(X2,X3)),rd(X2,X3))=rd(mult(mult(X0,X1),X3),X3))),
% 0.13/0.48 inference(backward_demodulation,[status(thm)],[f99,f15])).
% 0.13/0.48 fof(f96,plain,(
% 0.13/0.48 ![X0,X1]: (rd(mult(mult(X0,rd(X0,X0)),X1),X1)=ld(X0,mult(X0,mult(X0,rd(X1,X1)))))),
% 0.13/0.48 inference(backward_demodulation,[status(thm)],[f99,f68])).
% 0.13/0.48 fof(f99,plain,(
% 0.13/0.48 ![X0,X1,X2]: (rd(mult(mult(X0,X1),X2),X2)=mult(X0,rd(mult(X1,X2),X2)))),
% 0.13/0.48 inference(forward_demodulation,[status(thm)],[f11,f82])).
% 0.13/0.48 fof(f119,plain,(
% 0.13/0.48 ![X0,X1]: (rd(mult(X0,X1),X1)=ld(X0,mult(X0,mult(X0,rd(X1,X1)))))),
% 0.13/0.48 inference(forward_demodulation,[status(thm)],[f76,f96])).
% 0.13/0.48 fof(f127,plain,(
% 0.13/0.48 ![X0,X1]: (ld(X0,mult(X0,mult(X0,X1)))=mult(X0,X1))),
% 0.13/0.48 inference(paramodulation,[status(thm)],[f10,f33])).
% 0.13/0.48 fof(f141,plain,(
% 0.13/0.48 ![X0,X1]: (rd(mult(X0,X1),X1)=mult(X0,rd(X1,X1)))),
% 0.13/0.48 inference(backward_demodulation,[status(thm)],[f127,f119])).
% 0.13/0.48 fof(f166,plain,(
% 0.13/0.48 ![X0,X1,X2]: (ld(X0,mult(X0,mult(mult(X0,X1),X2)))=mult(mult(X0,X1),X2))),
% 0.13/0.48 inference(paramodulation,[status(thm)],[f127,f33])).
% 0.13/0.48 fof(f180,plain,(
% 0.13/0.48 ![X0,X1,X2]: (rd(mult(ld(X0,mult(X0,X1)),X2),X2)=ld(X0,mult(X0,mult(X1,rd(X2,X2)))))),
% 0.13/0.48 inference(paramodulation,[status(thm)],[f33,f141])).
% 0.13/0.48 fof(f181,plain,(
% 0.13/0.48 ![X0,X1]: (rd(mult(rd(X0,rd(X1,X1)),X1),X1)=rd(mult(X0,rd(X1,X1)),rd(X1,X1)))),
% 0.13/0.48 inference(paramodulation,[status(thm)],[f13,f141])).
% 0.13/0.48 fof(f188,plain,(
% 0.13/0.48 ![X0]: (rd(rd(mult(rd(X0,X0),X0),X0),rd(X0,X0))=rd(X0,X0))),
% 0.13/0.48 inference(paramodulation,[status(thm)],[f141,f11])).
% 0.13/0.48 fof(f190,plain,(
% 0.13/0.48 ![X0,X1,X2]: (rd(ld(X0,mult(X0,mult(X1,X2))),X2)=ld(X0,mult(X0,mult(X1,rd(X2,X2)))))),
% 0.13/0.48 inference(forward_demodulation,[status(thm)],[f33,f180])).
% 0.13/0.48 fof(f191,plain,(
% 0.13/0.48 ![X0,X1,X2]: (rd(ld(X0,mult(X0,mult(X1,X2))),X2)=ld(X0,mult(X0,rd(mult(X1,X2),X2))))),
% 0.13/0.48 inference(forward_demodulation,[status(thm)],[f141,f190])).
% 0.13/0.48 fof(f195,plain,(
% 0.13/0.48 ![X0,X1,X2]: (rd(ld(X0,mult(X0,mult(X1,X2))),X2)=ld(X0,rd(mult(mult(X0,X1),X2),X2)))),
% 0.13/0.48 inference(forward_demodulation,[status(thm)],[f99,f191])).
% 0.13/0.48 fof(f197,plain,(
% 0.13/0.48 ![X0,X1]: (rd(mult(rd(X0,rd(X1,X1)),X1),X1)=rd(rd(mult(X0,X1),X1),rd(X1,X1)))),
% 0.13/0.48 inference(forward_demodulation,[status(thm)],[f141,f181])).
% 0.13/0.48 fof(f218,plain,(
% 0.13/0.48 ![X0]: (rd(rd(rd(mult(X0,X0),X0),X0),rd(X0,X0))=rd(X0,X0))),
% 0.13/0.48 inference(forward_demodulation,[status(thm)],[f13,f188])).
% 0.13/0.48 fof(f219,plain,(
% 0.13/0.48 ![X0]: (rd(rd(X0,X0),rd(X0,X0))=rd(X0,X0))),
% 0.13/0.48 inference(forward_demodulation,[status(thm)],[f11,f218])).
% 0.13/0.48 fof(f229,plain,(
% 0.13/0.48 ![X0,X1]: (rd(mult(X0,rd(X1,X1)),rd(X1,X1))=mult(X0,rd(X1,X1)))),
% 0.13/0.48 inference(paramodulation,[status(thm)],[f219,f141])).
% 0.13/0.48 fof(f231,plain,(
% 0.13/0.48 ![X0,X1]: (rd(rd(mult(X0,X1),X1),rd(X1,X1))=mult(X0,rd(X1,X1)))),
% 0.13/0.48 inference(forward_demodulation,[status(thm)],[f141,f229])).
% 0.13/0.48 fof(f232,plain,(
% 0.13/0.48 ![X0,X1]: (rd(mult(rd(X0,rd(X1,X1)),X1),X1)=rd(mult(X0,X1),X1))),
% 0.13/0.48 inference(backward_demodulation,[status(thm)],[f234,f197])).
% 0.13/0.48 fof(f234,plain,(
% 0.13/0.48 ![X0,X1]: (rd(rd(mult(X0,X1),X1),rd(X1,X1))=rd(mult(X0,X1),X1))),
% 0.13/0.48 inference(forward_demodulation,[status(thm)],[f141,f231])).
% 0.13/0.48 fof(f288,plain,(
% 0.13/0.48 ![X0,X1]: (rd(mult(mult(X0,X1),X1),X1)=mult(X0,X1))),
% 0.13/0.48 inference(paramodulation,[status(thm)],[f11,f99])).
% 0.13/0.48 fof(f381,plain,(
% 0.13/0.48 ![X0,X1,X2]: (mult(X0,rd(X1,X2))=rd(mult(mult(X0,rd(X1,X2)),X2),X2))),
% 0.13/0.48 inference(paramodulation,[status(thm)],[f288,f92])).
% 0.13/0.48 fof(f679,plain,(
% 0.13/0.48 ![X0,X1,X2]: (rd(mult(mult(X0,rd(X1,rd(X2,X2))),X2),X2)=mult(X0,rd(mult(X1,X2),X2)))),
% 0.13/0.48 inference(paramodulation,[status(thm)],[f232,f99])).
% 0.13/0.48 fof(f682,plain,(
% 0.13/0.48 ![X0,X1]: (mult(rd(mult(X0,X1),X1),X1)=rd(mult(mult(rd(X0,rd(X1,X1)),X1),X1),X1))),
% 0.13/0.48 inference(paramodulation,[status(thm)],[f232,f13])).
% 0.13/0.48 fof(f713,plain,(
% 0.13/0.48 ![X0,X1,X2]: (rd(mult(mult(X0,rd(X1,rd(X2,X2))),X2),X2)=rd(mult(mult(X0,X1),X2),X2))),
% 0.13/0.48 inference(forward_demodulation,[status(thm)],[f99,f679])).
% 0.13/0.48 fof(f718,plain,(
% 0.13/0.48 ![X0,X1]: (rd(mult(mult(X0,X1),X1),X1)=rd(mult(mult(rd(X0,rd(X1,X1)),X1),X1),X1))),
% 0.13/0.48 inference(forward_demodulation,[status(thm)],[f13,f682])).
% 0.13/0.48 fof(f719,plain,(
% 0.13/0.48 ![X0,X1]: (mult(X0,X1)=rd(mult(mult(rd(X0,rd(X1,X1)),X1),X1),X1))),
% 0.13/0.48 inference(forward_demodulation,[status(thm)],[f288,f718])).
% 0.13/0.48 fof(f721,plain,(
% 0.13/0.48 ![X0,X1]: (mult(X0,X1)=mult(rd(X0,rd(X1,X1)),X1))),
% 0.13/0.48 inference(forward_demodulation,[status(thm)],[f288,f719])).
% 0.13/0.48 fof(f743,plain,(
% 0.13/0.48 ![X0,X1]: (ld(rd(X0,rd(X1,X1)),mult(rd(X0,rd(X1,X1)),mult(X0,X1)))=mult(rd(X0,rd(X1,X1)),X1))),
% 0.13/0.48 inference(paramodulation,[status(thm)],[f721,f127])).
% 0.13/0.48 fof(f771,plain,(
% 0.13/0.48 ![X0,X1]: (ld(rd(X0,rd(X1,X1)),mult(rd(X0,rd(X1,X1)),mult(X0,X1)))=mult(X0,X1))),
% 0.13/0.48 inference(forward_demodulation,[status(thm)],[f721,f743])).
% 0.13/0.48 fof(f796,plain,(
% 0.13/0.48 ![X0,X1,X2]: (ld(ld(X0,X1),mult(ld(X0,X1),X2))=ld(X0,mult(X0,ld(X2,mult(X2,X2)))))),
% 0.13/0.48 inference(paramodulation,[status(thm)],[f10,f44])).
% 0.13/0.48 fof(f852,plain,(
% 0.13/0.48 ~ld(sK0_skl,mult(sK0_skl,sK2_skl))=ld(sK0_skl,mult(sK0_skl,sK2_skl))|~ld(rd(sK3_skl,sK4_skl),mult(rd(sK3_skl,sK4_skl),sK5_skl))=ld(sK3_skl,mult(sK3_skl,sK5_skl))),
% 0.13/0.48 inference(backward_demodulation,[status(thm)],[f856,f20])).
% 0.13/0.48 fof(f856,plain,(
% 0.13/0.48 ![X0,X1,X2]: (ld(ld(X0,X1),mult(ld(X0,X1),X2))=ld(X0,mult(X0,X2)))),
% 0.13/0.48 inference(forward_demodulation,[status(thm)],[f10,f796])).
% 0.13/0.48 fof(f892,plain,(
% 0.13/0.48 ~ld(rd(sK3_skl,sK4_skl),mult(rd(sK3_skl,sK4_skl),sK5_skl))=ld(sK3_skl,mult(sK3_skl,sK5_skl))),
% 0.13/0.48 inference(trivial_equality_resolution,[status(thm)],[f852])).
% 0.13/0.48 fof(f944,plain,(
% 0.13/0.48 ![X0,X1,X2,X3]: (mult(X0,rd(X1,rd(X2,X3)))=rd(mult(mult(X0,rd(X1,rd(X2,X3))),X3),X3))),
% 0.13/0.48 inference(paramodulation,[status(thm)],[f92,f381])).
% 0.13/0.48 fof(f969,plain,(
% 0.13/0.48 ![X0,X1,X2]: (mult(X0,rd(X1,rd(X2,X2)))=rd(mult(mult(X0,X1),X2),X2))),
% 0.13/0.48 inference(backward_demodulation,[status(thm)],[f944,f713])).
% 0.13/0.48 fof(f1206,plain,(
% 0.13/0.48 ![X0,X1,X2]: (ld(mult(X0,X1),mult(ld(X0,mult(X0,mult(X0,X1))),X2))=ld(X0,mult(X0,X2)))),
% 0.13/0.48 inference(paramodulation,[status(thm)],[f127,f856])).
% 0.13/0.48 fof(f1262,plain,(
% 0.13/0.48 ![X0,X1,X2]: (ld(mult(X0,X1),ld(X0,mult(X0,mult(mult(X0,X1),X2))))=ld(X0,mult(X0,X2)))),
% 0.13/0.48 inference(forward_demodulation,[status(thm)],[f33,f1206])).
% 0.13/0.48 fof(f1269,plain,(
% 0.13/0.48 ![X0,X1,X2]: (ld(mult(X0,X1),mult(mult(X0,X1),X2))=ld(X0,mult(X0,X2)))),
% 0.13/0.48 inference(forward_demodulation,[status(thm)],[f166,f1262])).
% 0.13/0.48 fof(f1737,plain,(
% 0.13/0.48 ![X0,X1]: (ld(rd(X0,rd(X1,X1)),rd(mult(mult(rd(X0,rd(X1,X1)),X0),X1),X1))=rd(X0,rd(X1,X1)))),
% 0.13/0.48 inference(paramodulation,[status(thm)],[f969,f10])).
% 0.13/0.48 fof(f1865,plain,(
% 0.13/0.48 ![X0,X1]: (rd(ld(rd(X0,rd(X1,X1)),mult(rd(X0,rd(X1,X1)),mult(X0,X1))),X1)=rd(X0,rd(X1,X1)))),
% 0.13/0.48 inference(forward_demodulation,[status(thm)],[f195,f1737])).
% 0.13/0.48 fof(f1875,plain,(
% 0.13/0.48 ![X0,X1]: (mult(rd(X0,X1),X1)=rd(X0,rd(X1,X1)))),
% 0.13/0.48 inference(backward_demodulation,[status(thm)],[f1954,f13])).
% 0.13/0.48 fof(f1954,plain,(
% 0.13/0.48 ![X0,X1]: (rd(mult(X0,X1),X1)=rd(X0,rd(X1,X1)))),
% 0.13/0.48 inference(forward_demodulation,[status(thm)],[f771,f1865])).
% 0.13/0.48 fof(f2297,plain,(
% 0.13/0.48 ![X0,X1,X2]: (ld(mult(X0,X1),mult(mult(rd(X0,rd(X1,X1)),X1),X2))=ld(rd(X0,rd(X1,X1)),mult(rd(X0,rd(X1,X1)),X2)))),
% 0.13/0.48 inference(paramodulation,[status(thm)],[f721,f1269])).
% 0.13/0.48 fof(f2298,plain,(
% 0.13/0.48 ![X0,X1,X2]: (ld(rd(X0,rd(X1,X1)),mult(mult(rd(X0,X1),X1),X2))=ld(rd(X0,X1),mult(rd(X0,X1),X2)))),
% 0.13/0.48 inference(paramodulation,[status(thm)],[f1875,f1269])).
% 0.13/0.48 fof(f2321,plain,(
% 0.13/0.48 ![X0,X1,X2]: (ld(mult(X0,X1),mult(mult(X0,X1),X2))=ld(rd(X0,rd(X1,X1)),mult(rd(X0,rd(X1,X1)),X2)))),
% 0.13/0.48 inference(forward_demodulation,[status(thm)],[f721,f2297])).
% 0.13/0.48 fof(f2325,plain,(
% 0.13/0.48 ![X0,X1,X2]: (ld(X0,mult(X0,X1))=ld(rd(X0,rd(X2,X2)),mult(rd(X0,rd(X2,X2)),X1)))),
% 0.13/0.48 inference(forward_demodulation,[status(thm)],[f1269,f2321])).
% 0.13/0.48 fof(f2326,plain,(
% 0.13/0.48 ![X0,X1,X2]: (ld(rd(X0,rd(X1,X1)),mult(rd(X0,rd(X1,X1)),X2))=ld(rd(X0,X1),mult(rd(X0,X1),X2)))),
% 0.13/0.48 inference(forward_demodulation,[status(thm)],[f1875,f2298])).
% 0.13/0.48 fof(f2327,plain,(
% 0.13/0.48 ~ld(sK3_skl,mult(sK3_skl,sK5_skl))=ld(sK3_skl,mult(sK3_skl,sK5_skl))),
% 0.13/0.48 inference(backward_demodulation,[status(thm)],[f2333,f892])).
% 0.13/0.48 fof(f2333,plain,(
% 0.13/0.48 ![X0,X1,X2]: (ld(X0,mult(X0,X1))=ld(rd(X0,X2),mult(rd(X0,X2),X1)))),
% 0.13/0.48 inference(forward_demodulation,[status(thm)],[f2325,f2326])).
% 0.13/0.48 fof(f2364,plain,(
% 0.13/0.48 $false),
% 0.13/0.48 inference(trivial_equality_resolution,[status(thm)],[f2327])).
% 0.13/0.48 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.51 % Elapsed time: 0.138462 seconds
% 0.13/0.51 % CPU time: 0.816849 seconds
% 0.13/0.51 % Total memory used: 82.107 MB
% 0.13/0.51 % Net memory used: 80.926 MB
%------------------------------------------------------------------------------