%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : KLE017+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 : n011.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 12:58:10 PM UTC 2026
% Result : Theorem 40.47s 5.81s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KLE017+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
% 0.09/0.52 % Computer : n011.cluster.edu
% 0.09/0.52 % Model : x86_64 x86_64
% 0.09/0.52 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.52 % Memory : 8046.5625MB
% 0.09/0.52 % OS : Linux 6.8.0-71-generic
% 0.09/0.53 % CPULimit : 300
% 0.09/0.53 % WCLimit : 300
% 0.09/0.53 % DateTime : Sun Sep 20 22:38:25 UTC 2026
% 0.09/0.53 % CPUTime :
% 0.09/0.54 % Drodi V4.1.1
% 40.47/5.81 % Refutation found
% 40.47/5.81 % SZS status Theorem for theBenchmark: Theorem is valid
% 40.47/5.81 % SZS output start CNFRefutation for theBenchmark
% 40.47/5.81 fof(f1,axiom,(
% 40.47/5.81 (! [A,B] : addition(A,B) = addition(B,A) )),
% 40.47/5.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 40.47/5.81 fof(f2,axiom,(
% 40.47/5.81 (! [C,B,A] : addition(A,addition(B,C)) = addition(addition(A,B),C) )),
% 40.47/5.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 40.47/5.81 fof(f3,axiom,(
% 40.47/5.81 (! [A] : addition(A,zero) = A )),
% 40.47/5.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 40.47/5.81 fof(f4,axiom,(
% 40.47/5.81 (! [A] : addition(A,A) = A )),
% 40.47/5.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 40.47/5.81 fof(f6,axiom,(
% 40.47/5.81 (! [A] : multiplication(A,one) = A )),
% 40.47/5.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 40.47/5.81 fof(f7,axiom,(
% 40.47/5.81 (! [A] : multiplication(one,A) = A )),
% 40.47/5.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 40.47/5.81 fof(f8,axiom,(
% 40.47/5.81 (! [A,B,C] : multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)) )),
% 40.47/5.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 40.47/5.81 fof(f9,axiom,(
% 40.47/5.81 (! [A,B,C] : multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)) )),
% 40.47/5.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 40.47/5.81 fof(f12,axiom,(
% 40.47/5.81 (! [A,B] :( leq(A,B)<=> addition(A,B) = B ) )),
% 40.47/5.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 40.47/5.81 fof(f14,axiom,(
% 40.47/5.81 (! [X0,X1] :( complement(X1,X0)<=> ( multiplication(X0,X1) = zero& multiplication(X1,X0) = zero& addition(X0,X1) = one ) ) )),
% 40.47/5.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 40.47/5.81 fof(f15,axiom,(
% 40.47/5.81 (! [X0,X1] :( test(X0)=> ( c(X0) = X1<=> complement(X0,X1) ) ) )),
% 40.47/5.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 40.47/5.81 fof(f17,conjecture,(
% 40.47/5.81 (! [X0,X1,X2] :( ( test(X0)& test(X1)& test(X2) )=> ( leq(X2,multiplication(X0,X1))<=> ( leq(X2,X0)& leq(X2,X1) ) ) ) )),
% 40.47/5.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 40.47/5.81 fof(f18,negated_conjecture,(
% 40.47/5.81 ~((! [X0,X1,X2] :( ( test(X0)& test(X1)& test(X2) )=> ( leq(X2,multiplication(X0,X1))<=> ( leq(X2,X0)& leq(X2,X1) ) ) ) ))),
% 40.47/5.81 inference(negated_conjecture,[status(cth)],[f17])).
% 40.47/5.81 fof(f19,plain,(
% 40.47/5.81 ![X0,X1]: (addition(X0,X1)=addition(X1,X0))),
% 40.47/5.81 inference(cnf_transformation,[status(thm)],[f1])).
% 40.47/5.81 fof(f20,plain,(
% 40.47/5.81 ![X0,X1,X2]: (addition(X0,addition(X1,X2))=addition(addition(X0,X1),X2))),
% 40.47/5.81 inference(cnf_transformation,[status(thm)],[f2])).
% 40.47/5.81 fof(f21,plain,(
% 40.47/5.81 ![X0]: (addition(X0,zero)=X0)),
% 40.47/5.81 inference(cnf_transformation,[status(thm)],[f3])).
% 40.47/5.81 fof(f22,plain,(
% 40.47/5.81 ![X0]: (addition(X0,X0)=X0)),
% 40.47/5.81 inference(cnf_transformation,[status(thm)],[f4])).
% 40.47/5.81 fof(f24,plain,(
% 40.47/5.81 ![X0]: (multiplication(X0,one)=X0)),
% 40.47/5.81 inference(cnf_transformation,[status(thm)],[f6])).
% 40.47/5.81 fof(f25,plain,(
% 40.47/5.81 ![X0]: (multiplication(one,X0)=X0)),
% 40.47/5.81 inference(cnf_transformation,[status(thm)],[f7])).
% 40.47/5.81 fof(f26,plain,(
% 40.47/5.81 ![X0,X1,X2]: (multiplication(X0,addition(X1,X2))=addition(multiplication(X0,X1),multiplication(X0,X2)))),
% 40.47/5.81 inference(cnf_transformation,[status(thm)],[f8])).
% 40.47/5.81 fof(f27,plain,(
% 40.47/5.81 ![X0,X1,X2]: (multiplication(addition(X0,X1),X2)=addition(multiplication(X0,X2),multiplication(X1,X2)))),
% 40.47/5.81 inference(cnf_transformation,[status(thm)],[f9])).
% 40.47/5.81 fof(f30,plain,(
% 40.47/5.81 ![A,B]: ((~leq(A,B)|addition(A,B)=B)&(leq(A,B)|~addition(A,B)=B))),
% 40.47/5.81 inference(NNF_transformation,[status(thm)],[f12])).
% 40.47/5.81 fof(f31,plain,(
% 40.47/5.81 (![A,B]: (~leq(A,B)|addition(A,B)=B))&(![A,B]: (leq(A,B)|~addition(A,B)=B))),
% 40.47/5.81 inference(miniscoping,[status(thm)],[f30])).
% 40.47/5.81 fof(f32,plain,(
% 40.47/5.81 ![X0,X1]: (~leq(X0,X1)|addition(X0,X1)=X1)),
% 40.47/5.81 inference(cnf_transformation,[status(thm)],[f31])).
% 40.47/5.81 fof(f33,plain,(
% 40.47/5.81 ![X0,X1]: (leq(X0,X1)|~addition(X0,X1)=X1)),
% 40.47/5.81 inference(cnf_transformation,[status(thm)],[f31])).
% 40.47/5.81 fof(f39,plain,(
% 40.47/5.81 ![X0,X1]: ((~complement(X1,X0)|((multiplication(X0,X1)=zero&multiplication(X1,X0)=zero)&addition(X0,X1)=one))&(complement(X1,X0)|((~multiplication(X0,X1)=zero|~multiplication(X1,X0)=zero)|~addition(X0,X1)=one)))),
% 40.47/5.81 inference(NNF_transformation,[status(thm)],[f14])).
% 40.47/5.81 fof(f40,plain,(
% 40.47/5.81 (![X0,X1]: (~complement(X1,X0)|((multiplication(X0,X1)=zero&multiplication(X1,X0)=zero)&addition(X0,X1)=one)))&(![X0,X1]: (complement(X1,X0)|((~multiplication(X0,X1)=zero|~multiplication(X1,X0)=zero)|~addition(X0,X1)=one)))),
% 40.47/5.81 inference(miniscoping,[status(thm)],[f39])).
% 40.47/5.81 fof(f41,plain,(
% 40.47/5.81 ![X0,X1]: (~complement(X0,X1)|multiplication(X1,X0)=zero)),
% 40.47/5.81 inference(cnf_transformation,[status(thm)],[f40])).
% 40.47/5.81 fof(f43,plain,(
% 40.47/5.81 ![X0,X1]: (~complement(X0,X1)|addition(X1,X0)=one)),
% 40.47/5.81 inference(cnf_transformation,[status(thm)],[f40])).
% 40.47/5.81 fof(f45,plain,(
% 40.47/5.81 ![X0,X1]: (~test(X0)|(c(X0)=X1<=>complement(X0,X1)))),
% 40.47/5.81 inference(pre_NNF_transformation,[status(thm)],[f15])).
% 40.47/5.81 fof(f46,plain,(
% 40.47/5.81 ![X0,X1]: (~test(X0)|((~c(X0)=X1|complement(X0,X1))&(c(X0)=X1|~complement(X0,X1))))),
% 40.47/5.81 inference(NNF_transformation,[status(thm)],[f45])).
% 40.47/5.81 fof(f47,plain,(
% 40.47/5.81 ![X0]: (~test(X0)|((![X1]: (~c(X0)=X1|complement(X0,X1)))&(![X1]: (c(X0)=X1|~complement(X0,X1)))))),
% 40.47/5.81 inference(miniscoping,[status(thm)],[f46])).
% 40.47/5.81 fof(f48,plain,(
% 40.47/5.81 ![X0,X1]: (~test(X0)|~c(X0)=X1|complement(X0,X1))),
% 40.47/5.81 inference(cnf_transformation,[status(thm)],[f47])).
% 40.47/5.81 fof(f52,plain,(
% 40.47/5.81 (?[X0,X1,X2]: (((test(X0)&test(X1))&test(X2))&(leq(X2,multiplication(X0,X1))<~>(leq(X2,X0)&leq(X2,X1)))))),
% 40.47/5.81 inference(pre_NNF_transformation,[status(thm)],[f18])).
% 40.47/5.81 fof(f53,plain,(
% 40.47/5.81 ?[X0,X1,X2]: (((test(X0)&test(X1))&test(X2))&((leq(X2,multiplication(X0,X1))|(leq(X2,X0)&leq(X2,X1)))&(~leq(X2,multiplication(X0,X1))|(~leq(X2,X0)|~leq(X2,X1)))))),
% 40.47/5.81 inference(NNF_transformation,[status(thm)],[f52])).
% 40.47/5.81 fof(f54,plain,(
% 40.47/5.81 (((test(sK1_skl)&test(sK2_skl))&test(sK3_skl))&((leq(sK3_skl,multiplication(sK1_skl,sK2_skl))|(leq(sK3_skl,sK1_skl)&leq(sK3_skl,sK2_skl)))&(~leq(sK3_skl,multiplication(sK1_skl,sK2_skl))|(~leq(sK3_skl,sK1_skl)|~leq(sK3_skl,sK2_skl)))))),
% 40.47/5.81 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl,sK2_skl,sK3_skl]),skolemize(X0,sK1_skl),skolemize(X1,sK2_skl),skolemize(X2,sK3_skl)],[f53])).
% 40.47/5.81 fof(f55,plain,(
% 40.47/5.81 test(sK1_skl)),
% 40.47/5.81 inference(cnf_transformation,[status(thm)],[f54])).
% 40.47/5.81 fof(f56,plain,(
% 40.47/5.81 test(sK2_skl)),
% 40.47/5.81 inference(cnf_transformation,[status(thm)],[f54])).
% 40.47/5.81 fof(f57,plain,(
% 40.47/5.81 test(sK3_skl)),
% 40.47/5.81 inference(cnf_transformation,[status(thm)],[f54])).
% 40.47/5.81 fof(f58,plain,(
% 40.47/5.81 leq(sK3_skl,multiplication(sK1_skl,sK2_skl))|leq(sK3_skl,sK1_skl)),
% 40.47/5.81 inference(cnf_transformation,[status(thm)],[f54])).
% 40.47/5.81 fof(f59,plain,(
% 40.47/5.81 leq(sK3_skl,multiplication(sK1_skl,sK2_skl))|leq(sK3_skl,sK2_skl)),
% 40.47/5.81 inference(cnf_transformation,[status(thm)],[f54])).
% 40.47/5.81 fof(f60,plain,(
% 40.47/5.81 ~leq(sK3_skl,multiplication(sK1_skl,sK2_skl))|~leq(sK3_skl,sK1_skl)|~leq(sK3_skl,sK2_skl)),
% 40.47/5.81 inference(cnf_transformation,[status(thm)],[f54])).
% 40.47/5.81 fof(f61,plain,(
% 40.47/5.81 ![X0]: (~test(X0)|complement(X0,c(X0)))),
% 40.47/5.81 inference(destructive_equality_resolution,[status(thm)],[f48])).
% 40.47/5.81 fof(f62,plain,(
% 40.47/5.81 addition(sK3_skl,multiplication(sK1_skl,sK2_skl))=multiplication(sK1_skl,sK2_skl)|leq(sK3_skl,sK2_skl)),
% 40.47/5.81 inference(resolution,[status(thm)],[f32,f59])).
% 40.47/5.81 fof(f63,plain,(
% 40.47/5.81 addition(sK3_skl,multiplication(sK1_skl,sK2_skl))=multiplication(sK1_skl,sK2_skl)|leq(sK3_skl,sK1_skl)),
% 40.47/5.81 inference(resolution,[status(thm)],[f32,f58])).
% 40.47/5.81 fof(f69,plain,(
% 40.47/5.81 addition(sK3_skl,multiplication(sK1_skl,sK2_skl))=multiplication(sK1_skl,sK2_skl)|addition(sK3_skl,sK2_skl)=sK2_skl),
% 40.47/5.81 inference(resolution,[status(thm)],[f62,f32])).
% 40.47/5.81 fof(f70,plain,(
% 40.47/5.81 addition(sK3_skl,multiplication(sK1_skl,sK2_skl))=multiplication(sK1_skl,sK2_skl)|addition(sK3_skl,sK1_skl)=sK1_skl),
% 40.47/5.81 inference(resolution,[status(thm)],[f63,f32])).
% 40.47/5.81 fof(f137,plain,(
% 40.47/5.81 ![X0]: (addition(sK3_skl,addition(multiplication(sK1_skl,sK2_skl),X0))=addition(multiplication(sK1_skl,sK2_skl),X0)|addition(sK3_skl,sK1_skl)=sK1_skl)),
% 40.47/5.81 inference(paramodulation,[status(thm)],[f70,f20])).
% 40.47/5.81 fof(f138,plain,(
% 40.47/5.81 ![X0]: (addition(sK3_skl,addition(multiplication(sK1_skl,sK2_skl),X0))=addition(multiplication(sK1_skl,sK2_skl),X0)|addition(sK3_skl,sK2_skl)=sK2_skl)),
% 40.47/5.81 inference(paramodulation,[status(thm)],[f69,f20])).
% 40.47/5.81 fof(f142,plain,(
% 40.47/5.81 ![X0,X1]: (addition(X0,addition(X0,X1))=addition(X0,X1))),
% 40.47/5.81 inference(paramodulation,[status(thm)],[f22,f20])).
% 40.47/5.81 fof(f162,plain,(
% 40.47/5.81 ![X0,X1]: (multiplication(X0,addition(X1,one))=addition(multiplication(X0,X1),X0))),
% 40.47/5.81 inference(paramodulation,[status(thm)],[f24,f26])).
% 40.47/5.81 fof(f167,plain,(
% 40.47/5.81 ![X0,X1,X2]: (leq(multiplication(X0,X1),multiplication(X0,X2))|~multiplication(X0,addition(X1,X2))=multiplication(X0,X2))),
% 40.47/5.81 inference(paramodulation,[status(thm)],[f26,f33])).
% 40.47/5.81 fof(f187,plain,(
% 40.47/5.81 ![X0,X1]: (multiplication(addition(one,X0),X1)=addition(X1,multiplication(X0,X1)))),
% 40.47/5.81 inference(paramodulation,[status(thm)],[f25,f27])).
% 40.47/5.81 fof(f201,plain,(
% 40.47/5.81 ![X0,X1,X2]: (leq(multiplication(X0,X1),multiplication(X2,X1))|~multiplication(addition(X0,X2),X1)=multiplication(X2,X1))),
% 40.47/5.81 inference(paramodulation,[status(thm)],[f27,f33])).
% 40.47/5.81 fof(f443,plain,(
% 40.47/5.81 complement(sK3_skl,c(sK3_skl))),
% 40.47/5.81 inference(resolution,[status(thm)],[f61,f57])).
% 40.47/5.81 fof(f444,plain,(
% 40.47/5.81 complement(sK2_skl,c(sK2_skl))),
% 40.47/5.81 inference(resolution,[status(thm)],[f61,f56])).
% 40.47/5.81 fof(f445,plain,(
% 40.47/5.81 complement(sK1_skl,c(sK1_skl))),
% 40.47/5.81 inference(resolution,[status(thm)],[f61,f55])).
% 40.47/5.81 fof(f452,plain,(
% 40.47/5.81 multiplication(c(sK3_skl),sK3_skl)=zero),
% 40.47/5.81 inference(resolution,[status(thm)],[f41,f443])).
% 40.47/5.81 fof(f461,plain,(
% 40.47/5.81 addition(c(sK2_skl),sK2_skl)=one),
% 40.47/5.81 inference(resolution,[status(thm)],[f43,f444])).
% 40.47/5.81 fof(f462,plain,(
% 40.47/5.81 addition(c(sK3_skl),sK3_skl)=one),
% 40.47/5.81 inference(resolution,[status(thm)],[f43,f443])).
% 40.47/5.81 fof(f468,plain,(
% 40.47/5.81 addition(c(sK1_skl),sK1_skl)=one),
% 40.47/5.81 inference(resolution,[status(thm)],[f445,f43])).
% 40.47/5.81 fof(f491,plain,(
% 40.47/5.81 ![X0]: (multiplication(addition(X0,c(sK3_skl)),sK3_skl)=addition(multiplication(X0,sK3_skl),zero))),
% 40.47/5.81 inference(paramodulation,[status(thm)],[f452,f27])).
% 40.47/5.81 fof(f499,plain,(
% 40.47/5.81 ![X0]: (multiplication(addition(X0,c(sK3_skl)),sK3_skl)=multiplication(X0,sK3_skl))),
% 40.47/5.81 inference(forward_demodulation,[status(thm)],[f21,f491])).
% 40.47/5.81 fof(f780,plain,(
% 40.47/5.81 addition(sK2_skl,c(sK2_skl))=one),
% 40.47/5.81 inference(paramodulation,[status(thm)],[f19,f461])).
% 40.47/5.81 fof(f795,plain,(
% 40.47/5.81 addition(sK3_skl,c(sK3_skl))=one),
% 40.47/5.81 inference(paramodulation,[status(thm)],[f19,f462])).
% 40.47/5.81 fof(f843,plain,(
% 40.47/5.81 addition(sK1_skl,c(sK1_skl))=one),
% 40.47/5.81 inference(paramodulation,[status(thm)],[f19,f468])).
% 40.47/5.81 fof(f1881,plain,(
% 40.47/5.81 addition(sK2_skl,one)=addition(sK2_skl,c(sK2_skl))),
% 40.47/5.81 inference(paramodulation,[status(thm)],[f780,f142])).
% 40.47/5.82 fof(f1883,plain,(
% 40.47/5.82 addition(sK1_skl,one)=addition(sK1_skl,c(sK1_skl))),
% 40.47/5.82 inference(paramodulation,[status(thm)],[f843,f142])).
% 40.47/5.82 fof(f1943,plain,(
% 40.47/5.82 addition(sK2_skl,one)=one),
% 40.47/5.82 inference(forward_demodulation,[status(thm)],[f780,f1881])).
% 40.47/5.82 fof(f1945,plain,(
% 40.47/5.82 addition(sK1_skl,one)=one),
% 40.47/5.82 inference(forward_demodulation,[status(thm)],[f843,f1883])).
% 40.47/5.82 fof(f2245,plain,(
% 40.47/5.82 addition(one,sK1_skl)=one),
% 40.47/5.82 inference(paramodulation,[status(thm)],[f19,f1945])).
% 40.47/5.82 fof(f2259,plain,(
% 40.47/5.82 ![X0]: (leq(multiplication(sK1_skl,X0),multiplication(one,X0))|~multiplication(one,X0)=multiplication(one,X0))),
% 40.47/5.82 inference(paramodulation,[status(thm)],[f1945,f201])).
% 40.47/5.82 fof(f2281,plain,(
% 40.47/5.82 ![X0]: (leq(multiplication(sK1_skl,X0),X0)|~multiplication(one,X0)=multiplication(one,X0))),
% 40.47/5.82 inference(forward_demodulation,[status(thm)],[f25,f2259])).
% 40.47/5.82 fof(f2282,plain,(
% 40.47/5.82 ![X0]: (leq(multiplication(sK1_skl,X0),X0)|~X0=multiplication(one,X0))),
% 40.47/5.82 inference(forward_demodulation,[status(thm)],[f25,f2281])).
% 40.47/5.82 fof(f2283,plain,(
% 40.47/5.82 ![X0]: (leq(multiplication(sK1_skl,X0),X0)|~X0=X0)),
% 40.47/5.82 inference(forward_demodulation,[status(thm)],[f25,f2282])).
% 40.47/5.82 fof(f2284,plain,(
% 40.47/5.82 ![X0]: (leq(multiplication(sK1_skl,X0),X0))),
% 40.47/5.82 inference(trivial_equality_resolution,[status(thm)],[f2283])).
% 40.47/5.82 fof(f2597,plain,(
% 40.47/5.82 ![X0]: (addition(multiplication(sK1_skl,X0),X0)=X0)),
% 40.47/5.82 inference(resolution,[status(thm)],[f2284,f32])).
% 40.47/5.82 fof(f2876,plain,(
% 40.47/5.82 addition(sK3_skl,multiplication(sK1_skl,addition(sK2_skl,one)))=addition(multiplication(sK1_skl,sK2_skl),sK1_skl)|addition(sK3_skl,sK1_skl)=sK1_skl),
% 40.47/5.82 inference(paramodulation,[status(thm)],[f162,f137])).
% 40.47/5.82 fof(f2956,plain,(
% 40.47/5.82 addition(sK3_skl,multiplication(sK1_skl,one))=addition(multiplication(sK1_skl,sK2_skl),sK1_skl)|addition(sK3_skl,sK1_skl)=sK1_skl),
% 40.47/5.82 inference(forward_demodulation,[status(thm)],[f1943,f2876])).
% 40.47/5.82 fof(f2957,plain,(
% 40.47/5.82 addition(sK3_skl,sK1_skl)=addition(multiplication(sK1_skl,sK2_skl),sK1_skl)|addition(sK3_skl,sK1_skl)=sK1_skl),
% 40.47/5.82 inference(forward_demodulation,[status(thm)],[f24,f2956])).
% 33.00/5.88 fof(f2958,plain,(
% 33.00/5.88 addition(sK3_skl,sK1_skl)=multiplication(sK1_skl,addition(sK2_skl,one))|addition(sK3_skl,sK1_skl)=sK1_skl),
% 33.00/5.88 inference(forward_demodulation,[status(thm)],[f162,f2957])).
% 33.00/5.88 fof(f2959,plain,(
% 33.00/5.88 addition(sK3_skl,sK1_skl)=multiplication(sK1_skl,one)|addition(sK3_skl,sK1_skl)=sK1_skl),
% 33.00/5.88 inference(forward_demodulation,[status(thm)],[f1943,f2958])).
% 33.00/5.88 fof(f2960,plain,(
% 33.00/5.88 addition(sK3_skl,sK1_skl)=sK1_skl|addition(sK3_skl,sK1_skl)=sK1_skl),
% 33.00/5.88 inference(forward_demodulation,[status(thm)],[f24,f2959])).
% 33.00/5.88 fof(f2961,plain,(
% 33.00/5.88 addition(sK3_skl,sK1_skl)=sK1_skl),
% 33.00/5.88 inference(duplicate_literals_removal,[status(thm)],[f2960])).
% 33.00/5.88 fof(f2997,plain,(
% 33.00/5.88 leq(sK3_skl,sK1_skl)),
% 33.00/5.88 inference(resolution,[status(thm)],[f2961,f33])).
% 33.00/5.88 fof(f3011,plain,(
% 33.00/5.88 ![X0]: (leq(multiplication(sK3_skl,X0),multiplication(sK1_skl,X0))|~multiplication(sK1_skl,X0)=multiplication(sK1_skl,X0))),
% 33.00/5.88 inference(paramodulation,[status(thm)],[f2961,f201])).
% 33.00/5.88 fof(f3020,plain,(
% 33.00/5.88 ![X0]: (leq(multiplication(sK3_skl,X0),multiplication(sK1_skl,X0)))),
% 33.00/5.88 inference(trivial_equality_resolution,[status(thm)],[f3011])).
% 33.00/5.88 fof(f3025,plain,(
% 33.00/5.88 ~leq(sK3_skl,multiplication(sK1_skl,sK2_skl))|~leq(sK3_skl,sK2_skl)),
% 33.00/5.88 inference(backward_subsumption_resolution,[status(thm)],[f60,f2997])).
% 33.00/5.88 fof(f3142,plain,(
% 33.00/5.88 addition(sK3_skl,sK2_skl)=addition(multiplication(sK1_skl,sK2_skl),sK2_skl)|addition(sK3_skl,sK2_skl)=sK2_skl),
% 33.00/5.88 inference(paramodulation,[status(thm)],[f2597,f138])).
% 33.00/5.88 fof(f3189,plain,(
% 33.00/5.88 addition(sK3_skl,sK2_skl)=sK2_skl|addition(sK3_skl,sK2_skl)=sK2_skl),
% 33.00/5.88 inference(forward_demodulation,[status(thm)],[f2597,f3142])).
% 33.00/5.88 fof(f3190,plain,(
% 33.00/5.88 addition(sK3_skl,sK2_skl)=sK2_skl),
% 33.00/5.88 inference(duplicate_literals_removal,[status(thm)],[f3189])).
% 33.00/5.88 fof(f3343,plain,(
% 33.00/5.88 leq(sK3_skl,sK2_skl)),
% 33.00/5.88 inference(resolution,[status(thm)],[f3190,f33])).
% 33.00/5.88 fof(f3359,plain,(
% 33.00/5.88 ![X0]: (leq(multiplication(X0,sK3_skl),multiplication(X0,sK2_skl))|~multiplication(X0,sK2_skl)=multiplication(X0,sK2_skl))),
% 33.00/5.88 inference(paramodulation,[status(thm)],[f3190,f167])).
% 33.00/5.88 fof(f3369,plain,(
% 33.00/5.88 ![X0]: (leq(multiplication(X0,sK3_skl),multiplication(X0,sK2_skl)))),
% 33.00/5.88 inference(trivial_equality_resolution,[status(thm)],[f3359])).
% 33.00/5.88 fof(f3373,plain,(
% 33.00/5.88 ~leq(sK3_skl,multiplication(sK1_skl,sK2_skl))),
% 33.00/5.88 inference(backward_subsumption_resolution,[status(thm)],[f3025,f3343])).
% 33.00/5.88 fof(f32397,plain,(
% 33.00/5.88 multiplication(one,sK3_skl)=multiplication(sK3_skl,sK3_skl)),
% 33.00/5.88 inference(paramodulation,[status(thm)],[f795,f499])).
% 33.00/5.88 fof(f32501,plain,(
% 33.00/5.88 sK3_skl=multiplication(sK3_skl,sK3_skl)),
% 33.00/5.88 inference(forward_demodulation,[status(thm)],[f25,f32397])).
% 33.00/5.88 fof(f32610,plain,(
% 33.00/5.88 leq(sK3_skl,multiplication(sK1_skl,sK3_skl))),
% 33.00/5.88 inference(paramodulation,[status(thm)],[f32501,f3020])).
% 33.00/5.88 fof(f32857,plain,(
% 33.00/5.88 addition(sK3_skl,multiplication(sK1_skl,sK3_skl))=multiplication(sK1_skl,sK3_skl)),
% 33.00/5.88 inference(resolution,[status(thm)],[f32610,f32])).
% 33.00/5.88 fof(f32858,plain,(
% 33.00/5.88 multiplication(addition(one,sK1_skl),sK3_skl)=multiplication(sK1_skl,sK3_skl)),
% 33.00/5.88 inference(forward_demodulation,[status(thm)],[f187,f32857])).
% 33.00/5.88 fof(f32859,plain,(
% 33.00/5.88 multiplication(one,sK3_skl)=multiplication(sK1_skl,sK3_skl)),
% 33.00/5.88 inference(forward_demodulation,[status(thm)],[f2245,f32858])).
% 33.00/5.88 fof(f32860,plain,(
% 33.00/5.88 sK3_skl=multiplication(sK1_skl,sK3_skl)),
% 33.00/5.88 inference(forward_demodulation,[status(thm)],[f25,f32859])).
% 33.00/5.88 fof(f32876,plain,(
% 33.00/5.88 leq(sK3_skl,multiplication(sK1_skl,sK2_skl))),
% 33.00/5.88 inference(paramodulation,[status(thm)],[f32860,f3369])).
% 33.00/5.88 fof(f32949,plain,(
% 33.00/5.88 $false),
% 33.00/5.88 inference(forward_subsumption_resolution,[status(thm)],[f32876,f3373])).
% 33.00/5.88 % SZS output end CNFRefutation for theBenchmark.p
% 33.00/5.90 % Elapsed time: 5.355614 seconds
% 33.00/5.90 % CPU time: 41.941155 seconds
% 33.00/5.90 % Total memory used: 411.975 MB
% 33.00/5.90 % Net memory used: 399.478 MB
%------------------------------------------------------------------------------