%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : ALG210+2 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n026.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 11:49:49 AM UTC 2026
% Result : Theorem 0.11s 0.63s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG210+2 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n026.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 21 13:04:21 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.38 % Drodi V4.1.1
% 0.11/0.63 % Refutation found
% 0.11/0.63 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.11/0.63 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.63 fof(f1,axiom,(
% 0.11/0.63 (! [A,B,C] : times(times(A,B),C) = times(B,times(C,A)) )),
% 0.11/0.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.63 fof(f2,axiom,(
% 0.11/0.63 (! [B] :( element(B)<=> (? [C] :( times(B,C) = B& times(B,B) = C ) )) )),
% 0.11/0.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.63 fof(f3,conjecture,(
% 0.11/0.63 (! [A,B,C] :( ( element(A)& element(B)& C = times(A,B) )=> element(C) ) )),
% 0.11/0.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.63 fof(f4,negated_conjecture,(
% 0.11/0.63 ~((! [A,B,C] :( ( element(A)& element(B)& C = times(A,B) )=> element(C) ) ))),
% 0.11/0.63 inference(negated_conjecture,[status(cth)],[f3])).
% 0.11/0.63 fof(f5,plain,(
% 0.11/0.63 ![X0,X1,X2]: (times(times(X0,X1),X2)=times(X1,times(X2,X0)))),
% 0.11/0.63 inference(cnf_transformation,[status(thm)],[f1])).
% 0.11/0.63 fof(f6,plain,(
% 0.11/0.63 ![B]: ((~element(B)|(?[C]: (times(B,C)=B×(B,B)=C)))&(element(B)|(![C]: (~times(B,C)=B|~times(B,B)=C))))),
% 0.11/0.63 inference(NNF_transformation,[status(thm)],[f2])).
% 0.11/0.63 fof(f7,plain,(
% 0.11/0.63 (![B]: (~element(B)|(?[C]: (times(B,C)=B×(B,B)=C))))&(![B]: (element(B)|(![C]: (~times(B,C)=B|~times(B,B)=C))))),
% 0.11/0.63 inference(miniscoping,[status(thm)],[f6])).
% 0.11/0.63 fof(f8,plain,(
% 0.11/0.63 (![B]: (~element(B)|(times(B,sK0_skl(B))=B×(B,B)=sK0_skl(B))))&(![B]: (element(B)|(![C]: (~times(B,C)=B|~times(B,B)=C))))),
% 0.11/0.63 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(C,sK0_skl(B))],[f7])).
% 0.11/0.63 fof(f9,plain,(
% 0.11/0.63 ![X0]: (~element(X0)|times(X0,sK0_skl(X0))=X0)),
% 0.11/0.63 inference(cnf_transformation,[status(thm)],[f8])).
% 0.11/0.63 fof(f10,plain,(
% 0.11/0.63 ![X0]: (~element(X0)|times(X0,X0)=sK0_skl(X0))),
% 0.11/0.63 inference(cnf_transformation,[status(thm)],[f8])).
% 0.11/0.63 fof(f11,plain,(
% 0.11/0.63 ![X0,X1]: (element(X0)|~times(X0,X1)=X0|~times(X0,X0)=X1)),
% 0.11/0.63 inference(cnf_transformation,[status(thm)],[f8])).
% 0.11/0.63 fof(f12,plain,(
% 0.11/0.63 (?[A,B,C]: (((element(A)&element(B))&C=times(A,B))&~element(C)))),
% 0.11/0.63 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 0.11/0.63 fof(f13,plain,(
% 0.11/0.63 ?[C]: ((?[A,B]: ((element(A)&element(B))&C=times(A,B)))&~element(C))),
% 0.11/0.63 inference(miniscoping,[status(thm)],[f12])).
% 0.11/0.63 fof(f14,plain,(
% 0.11/0.63 (((element(sK2_skl)&element(sK3_skl))&sK1_skl=times(sK2_skl,sK3_skl))&~element(sK1_skl))),
% 0.11/0.63 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl,sK2_skl,sK3_skl]),skolemize(C,sK1_skl),skolemize(A,sK2_skl),skolemize(B,sK3_skl)],[f13])).
% 0.11/0.63 fof(f15,plain,(
% 0.11/0.63 element(sK2_skl)),
% 0.11/0.63 inference(cnf_transformation,[status(thm)],[f14])).
% 0.11/0.63 fof(f16,plain,(
% 0.11/0.63 element(sK3_skl)),
% 0.11/0.63 inference(cnf_transformation,[status(thm)],[f14])).
% 0.11/0.63 fof(f17,plain,(
% 0.11/0.63 sK1_skl=times(sK2_skl,sK3_skl)),
% 0.11/0.63 inference(cnf_transformation,[status(thm)],[f14])).
% 0.11/0.63 fof(f18,plain,(
% 0.11/0.63 ~element(sK1_skl)),
% 0.11/0.63 inference(cnf_transformation,[status(thm)],[f14])).
% 0.11/0.63 fof(f19,plain,(
% 0.11/0.63 ![X0]: (element(X0)|~times(X0,times(X0,X0))=X0)),
% 0.11/0.63 inference(destructive_equality_resolution,[status(thm)],[f11])).
% 0.11/0.63 fof(f20,plain,(
% 0.11/0.63 ![X0,X1,X2,X3]: (times(times(X0,times(X1,X2)),X3)=times(X1,times(X3,times(X2,X0))))),
% 0.11/0.63 inference(paramodulation,[status(thm)],[f5,f5])).
% 0.11/0.63 fof(f21,plain,(
% 0.11/0.63 ![X0]: (times(sK1_skl,X0)=times(sK3_skl,times(X0,sK2_skl)))),
% 0.11/0.63 inference(paramodulation,[status(thm)],[f17,f5])).
% 0.11/0.63 fof(f22,plain,(
% 0.11/0.63 ![X0,X1]: (element(times(X0,X1))|~times(X1,times(times(times(X0,X1),times(X0,X1)),X0))=times(X0,X1))),
% 0.11/0.63 inference(paramodulation,[status(thm)],[f5,f19])).
% 0.11/0.63 fof(f24,plain,(
% 0.11/0.63 ![X0,X1,X2,X3]: (times(times(X0,X1),times(X2,X3))=times(X0,times(X2,times(X1,X3))))),
% 0.11/0.63 inference(forward_demodulation,[status(thm)],[f5,f20])).
% 0.11/0.63 fof(f25,plain,(
% 0.11/0.63 ![X0,X1,X2,X3]: (times(X0,times(times(X1,X2),X3))=times(X3,times(X1,times(X0,X2))))),
% 0.11/0.63 inference(forward_demodulation,[status(thm)],[f5,f24])).
% 0.11/0.63 fof(f26,plain,(
% 0.11/0.63 ![X0,X1,X2,X3]: (times(X0,times(X1,times(X2,X3)))=times(X2,times(X3,times(X0,X1))))),
% 0.11/0.63 inference(forward_demodulation,[status(thm)],[f5,f25])).
% 0.11/0.63 fof(f27,plain,(
% 0.11/0.63 ![X0,X1]: (element(times(X0,X1))|~times(X1,times(times(X0,X1),times(X0,times(X0,X1))))=times(X0,X1))),
% 0.11/0.63 inference(forward_demodulation,[status(thm)],[f5,f22])).
% 0.11/0.63 fof(f28,plain,(
% 0.11/0.63 ![X0,X1]: (element(times(X0,X1))|~times(X1,times(X1,times(times(X0,times(X0,X1)),X0)))=times(X0,X1))),
% 0.11/0.63 inference(forward_demodulation,[status(thm)],[f5,f27])).
% 0.11/0.63 fof(f29,plain,(
% 0.11/0.63 ![X0,X1]: (element(times(X0,X1))|~times(X1,times(X1,times(times(X0,X1),times(X0,X0))))=times(X0,X1))),
% 0.11/0.63 inference(forward_demodulation,[status(thm)],[f5,f28])).
% 0.11/0.63 fof(f30,plain,(
% 0.11/0.63 ![X0,X1]: (element(times(X0,X1))|~times(X1,times(X1,times(X1,times(times(X0,X0),X0))))=times(X0,X1))),
% 0.11/0.63 inference(forward_demodulation,[status(thm)],[f5,f29])).
% 0.11/0.63 fof(f31,plain,(
% 0.11/0.63 ![X0,X1]: (element(times(X0,X1))|~times(X1,times(X1,times(X1,times(X0,times(X0,X0)))))=times(X0,X1))),
% 0.11/0.63 inference(forward_demodulation,[status(thm)],[f5,f30])).
% 0.11/0.63 fof(f37,plain,(
% 0.11/0.63 times(sK2_skl,sK2_skl)=sK0_skl(sK2_skl)),
% 0.11/0.63 inference(resolution,[status(thm)],[f15,f10])).
% 0.11/0.63 fof(f38,plain,(
% 0.11/0.63 times(sK2_skl,sK0_skl(sK2_skl))=sK2_skl),
% 0.11/0.63 inference(resolution,[status(thm)],[f15,f9])).
% 0.11/0.63 fof(f39,plain,(
% 0.11/0.63 ![X0]: (times(sK0_skl(sK2_skl),X0)=times(sK2_skl,times(X0,sK2_skl)))),
% 0.11/0.63 inference(paramodulation,[status(thm)],[f37,f5])).
% 0.11/0.63 fof(f48,plain,(
% 0.11/0.63 ![X0]: (times(sK2_skl,X0)=times(sK0_skl(sK2_skl),times(X0,sK2_skl)))),
% 0.11/0.63 inference(paramodulation,[status(thm)],[f38,f5])).
% 0.11/0.63 fof(f49,plain,(
% 0.11/0.63 ![X0,X1]: (times(sK1_skl,times(X0,X1))=times(sK3_skl,times(X1,times(sK2_skl,X0))))),
% 0.11/0.63 inference(paramodulation,[status(thm)],[f5,f21])).
% 0.11/0.63 fof(f51,plain,(
% 0.11/0.63 ![X0,X1]: (times(times(sK1_skl,X0),X1)=times(times(X0,sK2_skl),times(X1,sK3_skl)))),
% 0.11/0.63 inference(paramodulation,[status(thm)],[f21,f5])).
% 0.11/0.63 fof(f52,plain,(
% 0.11/0.63 ![X0,X1]: (times(X0,times(X1,sK1_skl))=times(times(X0,sK2_skl),times(X1,sK3_skl)))),
% 0.11/0.63 inference(forward_demodulation,[status(thm)],[f5,f51])).
% 0.11/0.63 fof(f53,plain,(
% 0.11/0.63 ![X0,X1]: (times(X0,times(X1,sK1_skl))=times(sK2_skl,times(times(X1,sK3_skl),X0)))),
% 0.11/0.63 inference(forward_demodulation,[status(thm)],[f5,f52])).
% 0.11/0.63 fof(f54,plain,(
% 0.11/0.63 ![X0,X1]: (times(X0,times(X1,sK1_skl))=times(sK2_skl,times(sK3_skl,times(X0,X1))))),
% 0.11/0.63 inference(forward_demodulation,[status(thm)],[f5,f53])).
% 0.11/0.63 fof(f58,plain,(
% 0.11/0.63 times(sK0_skl(sK2_skl),sK2_skl)=times(sK2_skl,sK0_skl(sK2_skl))),
% 0.11/0.63 inference(paramodulation,[status(thm)],[f37,f39])).
% 0.11/0.63 fof(f60,plain,(
% 0.11/0.63 ![X0,X1]: (times(times(sK0_skl(sK2_skl),X0),X1)=times(times(X0,sK2_skl),times(X1,sK2_skl)))),
% 0.11/0.63 inference(paramodulation,[status(thm)],[f39,f5])).
% 0.11/0.63 fof(f61,plain,(
% 0.11/0.63 times(sK0_skl(sK2_skl),sK2_skl)=sK2_skl),
% 0.11/0.63 inference(forward_demodulation,[status(thm)],[f38,f58])).
% 0.11/0.63 fof(f66,plain,(
% 0.11/0.63 ![X0,X1]: (times(X0,times(X1,sK0_skl(sK2_skl)))=times(times(X0,sK2_skl),times(X1,sK2_skl)))),
% 0.11/0.63 inference(forward_demodulation,[status(thm)],[f5,f60])).
% 0.11/0.63 fof(f67,plain,(
% 0.11/0.63 ![X0,X1]: (times(X0,times(X1,sK0_skl(sK2_skl)))=times(sK2_skl,times(times(X1,sK2_skl),X0)))),
% 0.11/0.63 inference(forward_demodulation,[status(thm)],[f5,f66])).
% 0.11/0.63 fof(f68,plain,(
% 0.11/0.63 ![X0,X1]: (times(X0,times(X1,sK0_skl(sK2_skl)))=times(sK2_skl,times(sK2_skl,times(X0,X1))))),
% 0.11/0.63 inference(forward_demodulation,[status(thm)],[f5,f67])).
% 0.11/0.63 fof(f69,plain,(
% 0.11/0.63 times(sK3_skl,sK3_skl)=sK0_skl(sK3_skl)),
% 0.11/0.63 inference(resolution,[status(thm)],[f16,f10])).
% 0.11/0.63 fof(f70,plain,(
% 0.11/0.63 times(sK3_skl,sK0_skl(sK3_skl))=sK3_skl),
% 0.11/0.63 inference(resolution,[status(thm)],[f16,f9])).
% 0.11/0.63 fof(f71,plain,(
% 0.11/0.63 times(sK0_skl(sK2_skl),sK0_skl(sK2_skl))=times(sK2_skl,sK2_skl)),
% 0.11/0.63 inference(paramodulation,[status(thm)],[f61,f39])).
% 0.11/0.63 fof(f72,plain,(
% 0.11/0.63 times(sK1_skl,sK0_skl(sK2_skl))=times(sK3_skl,sK2_skl)),
% 0.11/0.63 inference(paramodulation,[status(thm)],[f61,f21])).
% 0.11/0.63 fof(f73,plain,(
% 0.11/0.63 ![X0]: (times(sK2_skl,X0)=times(sK2_skl,times(X0,sK0_skl(sK2_skl))))),
% 0.11/0.63 inference(paramodulation,[status(thm)],[f61,f5])).
% 0.11/0.63 fof(f74,plain,(
% 0.11/0.63 times(sK0_skl(sK2_skl),sK0_skl(sK2_skl))=sK0_skl(sK2_skl)),
% 0.11/0.63 inference(forward_demodulation,[status(thm)],[f37,f71])).
% 0.11/0.63 fof(f75,plain,(
% 0.11/0.63 ![X0]: (times(sK0_skl(sK3_skl),X0)=times(sK3_skl,times(X0,sK3_skl)))),
% 0.11/0.63 inference(paramodulation,[status(thm)],[f69,f5])).
% 0.11/0.63 fof(f84,plain,(
% 0.11/0.63 ![X0]: (times(sK3_skl,X0)=times(sK0_skl(sK3_skl),times(X0,sK3_skl)))),
% 0.11/0.63 inference(paramodulation,[status(thm)],[f70,f5])).
% 0.11/0.63 fof(f94,plain,(
% 0.11/0.63 ![X0]: (times(times(sK3_skl,sK2_skl),X0)=times(sK0_skl(sK2_skl),times(X0,sK1_skl)))),
% 0.11/0.63 inference(paramodulation,[status(thm)],[f72,f5])).
% 0.11/0.63 fof(f95,plain,(
% 0.11/0.63 ![X0]: (times(sK2_skl,times(X0,sK3_skl))=times(sK0_skl(sK2_skl),times(X0,sK1_skl)))),
% 0.11/0.63 inference(forward_demodulation,[status(thm)],[f5,f94])).
% 0.11/0.63 fof(f107,plain,(
% 0.11/0.63 times(sK0_skl(sK3_skl),sK2_skl)=times(sK3_skl,sK1_skl)),
% 0.11/0.63 inference(paramodulation,[status(thm)],[f17,f75])).
% 0.11/0.63 fof(f123,plain,(
% 0.11/0.63 times(sK1_skl,sK0_skl(sK3_skl))=times(sK3_skl,times(sK3_skl,sK1_skl))),
% 0.11/0.63 inference(paramodulation,[status(thm)],[f107,f21])).
% 0.11/0.63 fof(f315,plain,(
% 0.11/0.63 times(sK3_skl,sK2_skl)=times(sK0_skl(sK3_skl),sK1_skl)),
% 0.11/0.63 inference(paramodulation,[status(thm)],[f17,f84])).
% 0.11/0.63 fof(f338,plain,(
% 0.11/0.63 ![X0]: (times(times(sK3_skl,sK2_skl),X0)=times(sK1_skl,times(X0,sK0_skl(sK3_skl))))),
% 0.11/0.63 inference(paramodulation,[status(thm)],[f315,f5])).
% 0.11/0.63 fof(f339,plain,(
% 0.11/0.63 ![X0]: (times(sK2_skl,times(X0,sK3_skl))=times(sK1_skl,times(X0,sK0_skl(sK3_skl))))),
% 0.11/0.63 inference(forward_demodulation,[status(thm)],[f5,f338])).
% 0.11/0.63 fof(f340,plain,(
% 0.11/0.63 ![X0]: (times(sK3_skl,times(sK1_skl,times(X0,sK3_skl)))=times(X0,times(sK1_skl,sK0_skl(sK3_skl))))),
% 0.11/0.63 inference(paramodulation,[status(thm)],[f123,f26])).
% 0.11/0.63 fof(f477,plain,(
% 0.11/0.63 times(sK2_skl,sK1_skl)=times(sK2_skl,times(sK3_skl,sK2_skl))),
% 0.11/0.63 inference(paramodulation,[status(thm)],[f72,f73])).
% 0.11/0.63 fof(f487,plain,(
% 0.11/0.63 times(sK2_skl,sK1_skl)=times(sK0_skl(sK2_skl),sK3_skl)),
% 0.11/0.63 inference(forward_demodulation,[status(thm)],[f39,f477])).
% 0.11/0.63 fof(f592,definition,(
% 0.11/0.63 sQ16_spl <=> (element(times(sK2_skl,sK3_skl)))),
% 0.11/0.63 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.11/0.63 fof(f593,plain,(
% 0.11/0.63 element(times(sK2_skl,sK3_skl))|~sQ16_spl),
% 0.11/0.63 inference(component_clause,[status(thm)],[f592])).
% 0.11/0.63 fof(f681,plain,(
% 0.11/0.63 element(sK1_skl)|~sQ16_spl),
% 0.11/0.63 inference(forward_demodulation,[status(thm)],[f17,f593])).
% 0.11/0.63 fof(f682,plain,(
% 0.11/0.63 $false|~sQ16_spl),
% 0.11/0.63 inference(forward_subsumption_resolution,[status(thm)],[f681,f18])).
% 0.11/0.63 fof(f683,plain,(
% 0.11/0.63 ~sQ16_spl),
% 0.11/0.63 inference(contradiction_clause,[status(thm)],[f682])).
% 0.11/0.63 fof(f692,plain,(
% 0.11/0.63 times(sK0_skl(sK3_skl),sK0_skl(sK2_skl))=times(sK3_skl,times(sK2_skl,sK1_skl))),
% 0.11/0.63 inference(paramodulation,[status(thm)],[f487,f75])).
% 0.11/0.63 fof(f726,plain,(
% 0.11/0.63 times(sK2_skl,sK0_skl(sK3_skl))=times(sK2_skl,times(sK3_skl,times(sK2_skl,sK1_skl)))),
% 0.11/0.63 inference(paramodulation,[status(thm)],[f692,f73])).
% 0.11/0.63 fof(f729,plain,(
% 0.11/0.63 ![X0]: (times(times(sK3_skl,times(sK2_skl,sK1_skl)),X0)=times(sK0_skl(sK2_skl),times(X0,sK0_skl(sK3_skl))))),
% 0.11/0.63 inference(paramodulation,[status(thm)],[f692,f5])).
% 0.11/0.63 fof(f730,plain,(
% 0.11/0.63 times(sK2_skl,sK0_skl(sK3_skl))=times(sK2_skl,times(sK1_skl,sK1_skl))),
% 0.11/0.63 inference(forward_demodulation,[status(thm)],[f54,f726])).
% 0.11/0.63 fof(f731,plain,(
% 0.11/0.63 ![X0]: (times(times(sK2_skl,sK1_skl),times(X0,sK3_skl))=times(sK0_skl(sK2_skl),times(X0,sK0_skl(sK3_skl))))),
% 0.11/0.63 inference(forward_demodulation,[status(thm)],[f5,f729])).
% 0.11/0.63 fof(f732,plain,(
% 0.11/0.63 ![X0]: (times(sK1_skl,times(times(X0,sK3_skl),sK2_skl))=times(sK0_skl(sK2_skl),times(X0,sK0_skl(sK3_skl))))),
% 0.11/0.63 inference(forward_demodulation,[status(thm)],[f5,f731])).
% 0.11/0.63 fof(f733,plain,(
% 0.11/0.63 ![X0]: (times(sK1_skl,times(sK3_skl,times(sK2_skl,X0)))=times(sK0_skl(sK2_skl),times(X0,sK0_skl(sK3_skl))))),
% 0.11/0.63 inference(forward_demodulation,[status(thm)],[f5,f732])).
% 0.11/0.63 fof(f735,plain,(
% 0.11/0.63 ![X0]: (times(sK1_skl,times(sK1_skl,times(X0,sK2_skl)))=times(X0,times(sK2_skl,sK0_skl(sK3_skl))))),
% 0.11/0.63 inference(paramodulation,[status(thm)],[f730,f26])).
% 0.11/0.63 fof(f757,plain,(
% 0.11/0.63 times(sK1_skl,times(sK3_skl,sK0_skl(sK3_skl)))=times(sK3_skl,times(sK3_skl,sK2_skl))),
% 0.11/0.63 inference(paramodulation,[status(thm)],[f84,f49])).
% 0.11/0.63 fof(f771,plain,(
% 0.11/0.63 ![X0]: (times(sK1_skl,times(sK2_skl,X0))=times(sK3_skl,times(X0,sK0_skl(sK2_skl))))),
% 0.11/0.63 inference(paramodulation,[status(thm)],[f37,f49])).
% 0.11/0.63 fof(f772,plain,(
% 0.11/0.63 ![X0]: (times(sK1_skl,times(sK3_skl,X0))=times(sK3_skl,times(X0,sK1_skl)))),
% 0.11/0.63 inference(paramodulation,[status(thm)],[f17,f49])).
% 0.11/0.63 fof(f776,plain,(
% 0.11/0.63 element(times(sK2_skl,sK3_skl))|~times(sK3_skl,times(sK1_skl,times(times(sK2_skl,sK2_skl),sK3_skl)))=times(sK2_skl,sK3_skl)),
% 0.11/0.63 inference(paramodulation,[status(thm)],[f49,f31])).
% 0.11/0.63 fof(f789,plain,(
% 0.11/0.63 times(sK2_skl,times(sK3_skl,sK3_skl))=times(sK3_skl,times(sK3_skl,sK2_skl))),
% 0.11/0.63 inference(forward_demodulation,[status(thm)],[f339,f757])).
% 0.11/0.63 fof(f790,plain,(
% 0.11/0.63 times(sK2_skl,sK0_skl(sK3_skl))=times(sK3_skl,times(sK3_skl,sK2_skl))),
% 0.11/0.63 inference(forward_demodulation,[status(thm)],[f69,f789])).
% 0.11/0.63 fof(f793,plain,(
% 0.11/0.63 ![X0]: (times(sK1_skl,times(sK1_skl,times(X0,sK2_skl)))=times(X0,times(sK1_skl,sK3_skl)))),
% 0.11/0.63 inference(backward_demodulation,[status(thm)],[f794,f735])).
% 0.11/0.63 fof(f794,plain,(
% 0.11/0.63 times(sK2_skl,sK0_skl(sK3_skl))=times(sK1_skl,sK3_skl)),
% 0.11/0.63 inference(forward_demodulation,[status(thm)],[f21,f790])).
% 0.11/0.63 fof(f830,definition,(
% 0.11/0.63 sQ26_spl <=> (times(sK3_skl,times(sK1_skl,times(times(sK2_skl,sK2_skl),sK3_skl)))=times(sK2_skl,sK3_skl))),
% 0.11/0.63 introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition])).
% 0.11/0.63 fof(f832,plain,(
% 0.11/0.63 ~times(sK3_skl,times(sK1_skl,times(times(sK2_skl,sK2_skl),sK3_skl)))=times(sK2_skl,sK3_skl)|sQ26_spl),
% 0.11/0.63 inference(component_clause,[status(thm)],[f830])).
% 0.11/0.63 fof(f833,plain,(
% 0.11/0.63 sQ16_spl|~sQ26_spl),
% 0.11/0.63 inference(split_clause,[status(thm)],[f776,f592,f830])).
% 0.11/0.63 fof(f870,plain,(
% 0.11/0.63 ~times(times(sK2_skl,sK2_skl),times(sK1_skl,sK0_skl(sK3_skl)))=times(sK2_skl,sK3_skl)|sQ26_spl),
% 0.11/0.63 inference(forward_demodulation,[status(thm)],[f340,f832])).
% 0.11/0.63 fof(f871,plain,(
% 0.11/0.63 ~times(sK2_skl,times(times(sK1_skl,sK0_skl(sK3_skl)),sK2_skl))=times(sK2_skl,sK3_skl)|sQ26_spl),
% 0.11/0.63 inference(forward_demodulation,[status(thm)],[f5,f870])).
% 0.11/0.63 fof(f872,plain,(
% 0.11/0.63 ~times(sK0_skl(sK2_skl),times(sK1_skl,sK0_skl(sK3_skl)))=times(sK2_skl,sK3_skl)|sQ26_spl),
% 0.11/0.63 inference(forward_demodulation,[status(thm)],[f39,f871])).
% 0.11/0.63 fof(f873,plain,(
% 0.11/0.63 ~times(sK1_skl,times(sK3_skl,times(sK2_skl,sK1_skl)))=times(sK2_skl,sK3_skl)|sQ26_spl),
% 0.11/0.63 inference(forward_demodulation,[status(thm)],[f733,f872])).
% 0.11/0.63 fof(f874,plain,(
% 0.11/0.63 ~times(sK1_skl,times(sK1_skl,times(sK3_skl,sK2_skl)))=times(sK2_skl,sK3_skl)|sQ26_spl),
% 0.11/0.63 inference(forward_demodulation,[status(thm)],[f772,f873])).
% 0.11/0.63 fof(f875,plain,(
% 0.11/0.63 ~times(sK3_skl,times(sK1_skl,sK3_skl))=times(sK2_skl,sK3_skl)|sQ26_spl),
% 0.11/0.63 inference(forward_demodulation,[status(thm)],[f793,f874])).
% 0.11/0.63 fof(f876,plain,(
% 0.11/0.63 ~times(sK0_skl(sK3_skl),sK1_skl)=times(sK2_skl,sK3_skl)|sQ26_spl),
% 0.11/0.63 inference(forward_demodulation,[status(thm)],[f75,f875])).
% 0.11/0.63 fof(f877,plain,(
% 0.11/0.63 ~times(sK3_skl,sK2_skl)=times(sK2_skl,sK3_skl)|sQ26_spl),
% 0.11/0.63 inference(forward_demodulation,[status(thm)],[f315,f876])).
% 0.11/0.63 fof(f878,plain,(
% 0.11/0.63 ~times(sK3_skl,sK2_skl)=sK1_skl|sQ26_spl),
% 0.11/0.63 inference(forward_demodulation,[status(thm)],[f17,f877])).
% 0.11/0.63 fof(f1020,plain,(
% 0.11/0.63 ![X0]: (times(sK0_skl(sK2_skl),times(times(X0,sK2_skl),sK1_skl))=times(sK2_skl,times(sK3_skl,times(sK2_skl,X0))))),
% 0.11/0.63 inference(paramodulation,[status(thm)],[f48,f54])).
% 0.11/0.63 fof(f1022,plain,(
% 0.11/0.63 times(sK0_skl(sK2_skl),times(sK0_skl(sK2_skl),sK1_skl))=times(sK2_skl,times(sK3_skl,sK0_skl(sK2_skl)))),
% 0.11/0.63 inference(paramodulation,[status(thm)],[f74,f54])).
% 0.11/0.63 fof(f1093,plain,(
% 0.11/0.63 ![X0]: (times(sK2_skl,times(times(X0,sK2_skl),sK3_skl))=times(sK2_skl,times(sK3_skl,times(sK2_skl,X0))))),
% 0.11/0.63 inference(forward_demodulation,[status(thm)],[f95,f1020])).
% 0.11/0.63 fof(f1094,plain,(
% 0.11/0.63 ![X0]: (times(sK2_skl,times(sK2_skl,times(sK3_skl,X0)))=times(sK2_skl,times(sK3_skl,times(sK2_skl,X0))))),
% 0.11/0.63 inference(forward_demodulation,[status(thm)],[f5,f1093])).
% 0.11/0.63 fof(f1095,plain,(
% 0.11/0.63 ![X0]: (times(sK3_skl,times(X0,sK0_skl(sK2_skl)))=times(sK2_skl,times(sK3_skl,times(sK2_skl,X0))))),
% 0.11/0.63 inference(forward_demodulation,[status(thm)],[f68,f1094])).
% 0.11/0.63 fof(f1096,plain,(
% 0.11/0.63 ![X0]: (times(sK1_skl,times(sK2_skl,X0))=times(sK2_skl,times(sK3_skl,times(sK2_skl,X0))))),
% 0.11/0.63 inference(forward_demodulation,[status(thm)],[f771,f1095])).
% 0.11/0.63 fof(f1101,plain,(
% 0.11/0.63 ![X0]: (times(sK1_skl,times(sK2_skl,X0))=times(sK2_skl,times(X0,sK1_skl)))),
% 0.11/0.63 inference(forward_demodulation,[status(thm)],[f54,f1096])).
% 0.11/0.63 fof(f1110,plain,(
% 0.11/0.63 times(sK2_skl,times(sK0_skl(sK2_skl),sK3_skl))=times(sK2_skl,times(sK3_skl,sK0_skl(sK2_skl)))),
% 0.11/0.63 inference(forward_demodulation,[status(thm)],[f95,f1022])).
% 0.11/0.63 fof(f1111,plain,(
% 0.11/0.63 times(sK2_skl,times(sK2_skl,sK1_skl))=times(sK2_skl,times(sK3_skl,sK0_skl(sK2_skl)))),
% 0.11/0.63 inference(forward_demodulation,[status(thm)],[f487,f1110])).
% 0.11/0.63 fof(f1112,plain,(
% 0.11/0.63 times(sK1_skl,times(sK2_skl,sK2_skl))=times(sK2_skl,times(sK3_skl,sK0_skl(sK2_skl)))),
% 0.11/0.63 inference(forward_demodulation,[status(thm)],[f1101,f1111])).
% 0.11/0.63 fof(f1113,plain,(
% 0.11/0.63 times(sK1_skl,sK0_skl(sK2_skl))=times(sK2_skl,times(sK3_skl,sK0_skl(sK2_skl)))),
% 0.11/0.63 inference(forward_demodulation,[status(thm)],[f37,f1112])).
% 0.11/0.63 fof(f1114,plain,(
% 0.11/0.63 times(sK3_skl,sK2_skl)=times(sK2_skl,times(sK3_skl,sK0_skl(sK2_skl)))),
% 0.11/0.63 inference(forward_demodulation,[status(thm)],[f72,f1113])).
% 0.11/0.63 fof(f1115,plain,(
% 0.11/0.63 times(sK3_skl,sK2_skl)=times(sK2_skl,sK3_skl)),
% 0.11/0.63 inference(forward_demodulation,[status(thm)],[f73,f1114])).
% 0.11/0.63 fof(f1116,plain,(
% 0.11/0.63 times(sK3_skl,sK2_skl)=sK1_skl),
% 0.11/0.63 inference(forward_demodulation,[status(thm)],[f17,f1115])).
% 0.11/0.63 fof(f1117,plain,(
% 0.11/0.63 $false|sQ26_spl),
% 0.11/0.63 inference(forward_subsumption_resolution,[status(thm)],[f1116,f878])).
% 0.11/0.63 fof(f1118,plain,(
% 0.11/0.63 sQ26_spl),
% 0.11/0.63 inference(contradiction_clause,[status(thm)],[f1117])).
% 0.11/0.63 fof(f1119,plain,(
% 0.11/0.63 $false),
% 0.11/0.63 inference(sat_refutation,[status(thm)],[f683,f833,f1118])).
% 0.11/0.63 % SZS output end CNFRefutation for theBenchmark.p
% 0.32/0.66 % Elapsed time: 0.269678 seconds
% 0.32/0.66 % CPU time: 1.909433 seconds
% 0.32/0.66 % Total memory used: 86.880 MB
% 0.32/0.66 % Net memory used: 86.218 MB
%------------------------------------------------------------------------------