%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : KLE027+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/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 12:58:12 PM UTC 2026
% Result : Theorem 19.77s 2.95s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KLE027+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n004.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 20 22:39:19 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 19.77/2.95 % Refutation found
% 19.77/2.95 % SZS status Theorem for theBenchmark: Theorem is valid
% 19.77/2.95 % SZS output start CNFRefutation for theBenchmark
% 19.77/2.95 fof(f1,axiom,(
% 19.77/2.95 (! [A,B] : addition(A,B) = addition(B,A) )),
% 19.77/2.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 19.77/2.95 fof(f2,axiom,(
% 19.77/2.95 (! [C,B,A] : addition(A,addition(B,C)) = addition(addition(A,B),C) )),
% 19.77/2.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 19.77/2.95 fof(f3,axiom,(
% 19.77/2.95 (! [A] : addition(A,zero) = A )),
% 19.77/2.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 19.77/2.95 fof(f4,axiom,(
% 19.77/2.95 (! [A] : addition(A,A) = A )),
% 19.77/2.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 19.77/2.95 fof(f5,axiom,(
% 19.77/2.95 (! [A,B,C] : multiplication(A,multiplication(B,C)) = multiplication(multiplication(A,B),C) )),
% 19.77/2.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 19.77/2.95 fof(f6,axiom,(
% 19.77/2.95 (! [A] : multiplication(A,one) = A )),
% 19.77/2.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 19.77/2.95 fof(f7,axiom,(
% 19.77/2.95 (! [A] : multiplication(one,A) = A )),
% 19.77/2.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 19.77/2.95 fof(f8,axiom,(
% 19.77/2.95 (! [A,B,C] : multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)) )),
% 19.77/2.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 19.77/2.95 fof(f9,axiom,(
% 19.77/2.95 (! [A,B,C] : multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)) )),
% 19.77/2.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 19.77/2.95 fof(f11,axiom,(
% 19.77/2.95 (! [A] : multiplication(zero,A) = zero )),
% 19.77/2.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 19.77/2.95 fof(f12,axiom,(
% 19.77/2.95 (! [A,B] :( leq(A,B)<=> addition(A,B) = B ) )),
% 19.77/2.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 19.77/2.95 fof(f13,axiom,(
% 19.77/2.95 (! [X0] :( test(X0)<=> (? [X1] : complement(X1,X0) )) )),
% 19.77/2.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 19.77/2.95 fof(f14,axiom,(
% 19.77/2.95 (! [X0,X1] :( complement(X1,X0)<=> ( multiplication(X0,X1) = zero& multiplication(X1,X0) = zero& addition(X0,X1) = one ) ) )),
% 19.77/2.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 19.77/2.95 fof(f15,axiom,(
% 19.77/2.95 (! [X0,X1] :( test(X0)=> ( c(X0) = X1<=> complement(X0,X1) ) ) )),
% 19.77/2.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 19.77/2.95 fof(f17,conjecture,(
% 19.77/2.95 (! [X0,X1,X2,X3,X4] :( ( test(X3)& test(X4) )=> ( leq(addition(multiplication(X3,addition(multiplication(X3,X0),multiplication(c(X3),X1))),multiplication(c(X3),X2)),addition(multiplication(X3,X0),multiplication(c(X3),X2)))& leq(addition(multiplication(X3,X0),multiplication(c(X3),X2)),addition(multiplication(X3,addition(multiplication(X3,X0),multiplication(c(X3),X1))),multiplication(c(X3),X2))) ) ) )),
% 19.77/2.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 19.77/2.95 fof(f18,negated_conjecture,(
% 19.77/2.95 ~((! [X0,X1,X2,X3,X4] :( ( test(X3)& test(X4) )=> ( leq(addition(multiplication(X3,addition(multiplication(X3,X0),multiplication(c(X3),X1))),multiplication(c(X3),X2)),addition(multiplication(X3,X0),multiplication(c(X3),X2)))& leq(addition(multiplication(X3,X0),multiplication(c(X3),X2)),addition(multiplication(X3,addition(multiplication(X3,X0),multiplication(c(X3),X1))),multiplication(c(X3),X2))) ) ) ))),
% 19.77/2.95 inference(negated_conjecture,[status(cth)],[f17])).
% 19.77/2.95 fof(f19,plain,(
% 19.77/2.95 ![X0,X1]: (addition(X0,X1)=addition(X1,X0))),
% 19.77/2.95 inference(cnf_transformation,[status(thm)],[f1])).
% 19.77/2.95 fof(f20,plain,(
% 19.77/2.95 ![X0,X1,X2]: (addition(X0,addition(X1,X2))=addition(addition(X0,X1),X2))),
% 19.77/2.95 inference(cnf_transformation,[status(thm)],[f2])).
% 19.77/2.95 fof(f21,plain,(
% 19.77/2.95 ![X0]: (addition(X0,zero)=X0)),
% 19.77/2.95 inference(cnf_transformation,[status(thm)],[f3])).
% 19.77/2.95 fof(f22,plain,(
% 19.77/2.95 ![X0]: (addition(X0,X0)=X0)),
% 19.77/2.95 inference(cnf_transformation,[status(thm)],[f4])).
% 19.77/2.95 fof(f23,plain,(
% 19.77/2.95 ![X0,X1,X2]: (multiplication(X0,multiplication(X1,X2))=multiplication(multiplication(X0,X1),X2))),
% 19.77/2.95 inference(cnf_transformation,[status(thm)],[f5])).
% 19.77/2.95 fof(f24,plain,(
% 19.77/2.95 ![X0]: (multiplication(X0,one)=X0)),
% 19.77/2.95 inference(cnf_transformation,[status(thm)],[f6])).
% 19.77/2.95 fof(f25,plain,(
% 19.77/2.95 ![X0]: (multiplication(one,X0)=X0)),
% 19.77/2.95 inference(cnf_transformation,[status(thm)],[f7])).
% 19.77/2.95 fof(f26,plain,(
% 19.77/2.95 ![X0,X1,X2]: (multiplication(X0,addition(X1,X2))=addition(multiplication(X0,X1),multiplication(X0,X2)))),
% 19.77/2.95 inference(cnf_transformation,[status(thm)],[f8])).
% 19.77/2.95 fof(f27,plain,(
% 19.77/2.95 ![X0,X1,X2]: (multiplication(addition(X0,X1),X2)=addition(multiplication(X0,X2),multiplication(X1,X2)))),
% 19.77/2.95 inference(cnf_transformation,[status(thm)],[f9])).
% 19.77/2.95 fof(f29,plain,(
% 19.77/2.95 ![X0]: (multiplication(zero,X0)=zero)),
% 19.77/2.95 inference(cnf_transformation,[status(thm)],[f11])).
% 19.77/2.95 fof(f30,plain,(
% 19.77/2.95 ![A,B]: ((~leq(A,B)|addition(A,B)=B)&(leq(A,B)|~addition(A,B)=B))),
% 19.77/2.95 inference(NNF_transformation,[status(thm)],[f12])).
% 19.77/2.95 fof(f31,plain,(
% 19.77/2.95 (![A,B]: (~leq(A,B)|addition(A,B)=B))&(![A,B]: (leq(A,B)|~addition(A,B)=B))),
% 19.77/2.95 inference(miniscoping,[status(thm)],[f30])).
% 19.77/2.95 fof(f33,plain,(
% 19.77/2.95 ![X0,X1]: (leq(X0,X1)|~addition(X0,X1)=X1)),
% 19.77/2.95 inference(cnf_transformation,[status(thm)],[f31])).
% 19.77/2.95 fof(f34,plain,(
% 19.77/2.95 ![X0]: ((~test(X0)|(?[X1]: complement(X1,X0)))&(test(X0)|(![X1]: ~complement(X1,X0))))),
% 19.77/2.95 inference(NNF_transformation,[status(thm)],[f13])).
% 19.77/2.95 fof(f35,plain,(
% 19.77/2.95 (![X0]: (~test(X0)|(?[X1]: complement(X1,X0))))&(![X0]: (test(X0)|(![X1]: ~complement(X1,X0))))),
% 19.77/2.95 inference(miniscoping,[status(thm)],[f34])).
% 19.77/2.95 fof(f36,plain,(
% 19.77/2.95 (![X0]: (~test(X0)|complement(sK0_skl(X0),X0)))&(![X0]: (test(X0)|(![X1]: ~complement(X1,X0))))),
% 19.77/2.95 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(X1,sK0_skl(X0))],[f35])).
% 19.77/2.95 fof(f37,plain,(
% 19.77/2.95 ![X0]: (~test(X0)|complement(sK0_skl(X0),X0))),
% 19.77/2.95 inference(cnf_transformation,[status(thm)],[f36])).
% 19.77/2.95 fof(f39,plain,(
% 19.77/2.95 ![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)))),
% 19.77/2.95 inference(NNF_transformation,[status(thm)],[f14])).
% 19.77/2.95 fof(f40,plain,(
% 19.77/2.95 (![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)))),
% 19.77/2.95 inference(miniscoping,[status(thm)],[f39])).
% 19.77/2.95 fof(f41,plain,(
% 19.77/2.95 ![X0,X1]: (~complement(X0,X1)|multiplication(X1,X0)=zero)),
% 19.77/2.95 inference(cnf_transformation,[status(thm)],[f40])).
% 19.77/2.95 fof(f42,plain,(
% 19.77/2.95 ![X0,X1]: (~complement(X0,X1)|multiplication(X0,X1)=zero)),
% 19.77/2.95 inference(cnf_transformation,[status(thm)],[f40])).
% 19.77/2.95 fof(f43,plain,(
% 19.77/2.95 ![X0,X1]: (~complement(X0,X1)|addition(X1,X0)=one)),
% 19.77/2.95 inference(cnf_transformation,[status(thm)],[f40])).
% 19.77/2.95 fof(f45,plain,(
% 19.77/2.95 ![X0,X1]: (~test(X0)|(c(X0)=X1<=>complement(X0,X1)))),
% 19.77/2.95 inference(pre_NNF_transformation,[status(thm)],[f15])).
% 19.77/2.95 fof(f46,plain,(
% 19.77/2.95 ![X0,X1]: (~test(X0)|((~c(X0)=X1|complement(X0,X1))&(c(X0)=X1|~complement(X0,X1))))),
% 19.77/2.95 inference(NNF_transformation,[status(thm)],[f45])).
% 19.77/2.95 fof(f47,plain,(
% 19.77/2.95 ![X0]: (~test(X0)|((![X1]: (~c(X0)=X1|complement(X0,X1)))&(![X1]: (c(X0)=X1|~complement(X0,X1)))))),
% 19.77/2.95 inference(miniscoping,[status(thm)],[f46])).
% 19.77/2.95 fof(f48,plain,(
% 19.77/2.95 ![X0,X1]: (~test(X0)|~c(X0)=X1|complement(X0,X1))),
% 19.77/2.95 inference(cnf_transformation,[status(thm)],[f47])).
% 19.77/2.95 fof(f52,plain,(
% 19.77/2.95 (?[X0,X1,X2,X3,X4]: ((test(X3)&test(X4))&(~leq(addition(multiplication(X3,addition(multiplication(X3,X0),multiplication(c(X3),X1))),multiplication(c(X3),X2)),addition(multiplication(X3,X0),multiplication(c(X3),X2)))|~leq(addition(multiplication(X3,X0),multiplication(c(X3),X2)),addition(multiplication(X3,addition(multiplication(X3,X0),multiplication(c(X3),X1))),multiplication(c(X3),X2))))))),
% 19.77/2.95 inference(pre_NNF_transformation,[status(thm)],[f18])).
% 19.77/2.95 fof(f53,plain,(
% 19.77/2.95 ?[X3]: ((test(X3)&(?[X4]: test(X4)))&((?[X0,X1,X2]: ~leq(addition(multiplication(X3,addition(multiplication(X3,X0),multiplication(c(X3),X1))),multiplication(c(X3),X2)),addition(multiplication(X3,X0),multiplication(c(X3),X2))))|(?[X0,X1,X2]: ~leq(addition(multiplication(X3,X0),multiplication(c(X3),X2)),addition(multiplication(X3,addition(multiplication(X3,X0),multiplication(c(X3),X1))),multiplication(c(X3),X2))))))),
% 19.77/2.95 inference(miniscoping,[status(thm)],[f52])).
% 19.77/2.95 fof(f54,plain,(
% 19.77/2.95 ((test(sK1_skl)&test(sK2_skl))&(~leq(addition(multiplication(sK1_skl,addition(multiplication(sK1_skl,sK3_skl),multiplication(c(sK1_skl),sK4_skl))),multiplication(c(sK1_skl),sK5_skl)),addition(multiplication(sK1_skl,sK3_skl),multiplication(c(sK1_skl),sK5_skl)))|~leq(addition(multiplication(sK1_skl,sK6_skl),multiplication(c(sK1_skl),sK8_skl)),addition(multiplication(sK1_skl,addition(multiplication(sK1_skl,sK6_skl),multiplication(c(sK1_skl),sK7_skl))),multiplication(c(sK1_skl),sK8_skl)))))),
% 19.77/2.95 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl,sK2_skl,sK3_skl,sK4_skl,sK5_skl,sK6_skl,sK7_skl,sK8_skl]),skolemize(X3,sK1_skl),skolemize(X4,sK2_skl),skolemize(X0,sK3_skl),skolemize(X1,sK4_skl),skolemize(X2,sK5_skl),skolemize(X0,sK6_skl),skolemize(X1,sK7_skl),skolemize(X2,sK8_skl)],[f53])).
% 19.77/2.95 fof(f55,plain,(
% 19.77/2.95 test(sK1_skl)),
% 19.77/2.95 inference(cnf_transformation,[status(thm)],[f54])).
% 19.77/2.95 fof(f57,plain,(
% 19.77/2.95 ~leq(addition(multiplication(sK1_skl,addition(multiplication(sK1_skl,sK3_skl),multiplication(c(sK1_skl),sK4_skl))),multiplication(c(sK1_skl),sK5_skl)),addition(multiplication(sK1_skl,sK3_skl),multiplication(c(sK1_skl),sK5_skl)))|~leq(addition(multiplication(sK1_skl,sK6_skl),multiplication(c(sK1_skl),sK8_skl)),addition(multiplication(sK1_skl,addition(multiplication(sK1_skl,sK6_skl),multiplication(c(sK1_skl),sK7_skl))),multiplication(c(sK1_skl),sK8_skl)))),
% 19.77/2.95 inference(cnf_transformation,[status(thm)],[f54])).
% 19.77/2.95 fof(f58,plain,(
% 19.77/2.95 ![X0]: (~test(X0)|complement(X0,c(X0)))),
% 19.77/2.95 inference(destructive_equality_resolution,[status(thm)],[f48])).
% 19.77/2.95 fof(f70,plain,(
% 19.77/2.95 ![X0,X1,X2]: (addition(X0,addition(X1,X2))=addition(X2,addition(X0,X1)))),
% 19.77/2.95 inference(paramodulation,[status(thm)],[f19,f20])).
% 19.77/2.95 fof(f74,plain,(
% 19.77/2.95 ![X0,X1,X2]: (addition(X0,addition(X1,X2))=addition(addition(X1,X0),X2))),
% 19.77/2.95 inference(paramodulation,[status(thm)],[f19,f20])).
% 19.77/2.95 fof(f76,plain,(
% 19.77/2.95 ![X0,X1]: (addition(X0,addition(X0,X1))=addition(X0,X1))),
% 19.77/2.95 inference(paramodulation,[status(thm)],[f22,f20])).
% 19.77/2.95 fof(f85,plain,(
% 19.77/2.95 ![X0,X1,X2]: (multiplication(X0,addition(X1,X2))=addition(multiplication(X0,X2),multiplication(X0,X1)))),
% 19.77/2.95 inference(paramodulation,[status(thm)],[f19,f26])).
% 19.77/2.95 fof(f90,plain,(
% 19.77/2.95 ![X0,X1,X2,X3]: (addition(multiplication(X0,X1),addition(multiplication(X0,X2),X3))=addition(multiplication(X0,addition(X1,X2)),X3))),
% 19.77/2.95 inference(paramodulation,[status(thm)],[f26,f20])).
% 19.77/2.95 fof(f101,plain,(
% 19.77/2.95 ![X0]: (addition(zero,X0)=X0)),
% 19.77/2.95 inference(paramodulation,[status(thm)],[f19,f21])).
% 19.77/2.95 fof(f157,plain,(
% 19.77/2.95 ![X0]: (multiplication(X0,sK0_skl(X0))=zero|~test(X0))),
% 19.77/2.95 inference(resolution,[status(thm)],[f41,f37])).
% 19.77/2.95 fof(f160,plain,(
% 19.77/2.95 ![X0]: (multiplication(X0,c(X0))=zero|~test(X0))),
% 19.77/2.95 inference(resolution,[status(thm)],[f42,f58])).
% 19.77/2.95 fof(f161,plain,(
% 19.77/2.95 ![X0]: (addition(X0,sK0_skl(X0))=one|~test(X0))),
% 19.77/2.95 inference(resolution,[status(thm)],[f43,f37])).
% 19.77/2.95 fof(f162,plain,(
% 19.77/2.95 ![X0]: (addition(c(X0),X0)=one|~test(X0))),
% 19.77/2.95 inference(resolution,[status(thm)],[f43,f58])).
% 19.77/2.95 fof(f170,plain,(
% 19.77/2.95 ![X0,X1]: (addition(X0,addition(X1,X0))=addition(X0,X1))),
% 19.77/2.95 inference(paramodulation,[status(thm)],[f19,f76])).
% 19.77/2.95 fof(f191,plain,(
% 19.77/2.95 multiplication(sK1_skl,sK0_skl(sK1_skl))=zero),
% 19.77/2.95 inference(resolution,[status(thm)],[f157,f55])).
% 19.77/2.95 fof(f194,plain,(
% 19.77/2.95 ![X0,X1,X2]: (multiplication(addition(X0,X1),X2)=addition(multiplication(X1,X2),multiplication(X0,X2)))),
% 19.77/2.95 inference(paramodulation,[status(thm)],[f19,f27])).
% 19.77/2.95 fof(f198,plain,(
% 19.77/2.95 ![X0,X1]: (multiplication(addition(one,X0),X1)=addition(X1,multiplication(X0,X1)))),
% 19.77/2.95 inference(paramodulation,[status(thm)],[f25,f27])).
% 19.77/2.95 fof(f247,plain,(
% 19.77/2.95 ![X0]: (multiplication(sK1_skl,addition(X0,sK0_skl(sK1_skl)))=addition(multiplication(sK1_skl,X0),zero))),
% 19.77/2.95 inference(paramodulation,[status(thm)],[f191,f26])).
% 19.77/2.95 fof(f252,plain,(
% 19.77/2.95 ![X0]: (multiplication(sK1_skl,addition(X0,sK0_skl(sK1_skl)))=multiplication(sK1_skl,X0))),
% 19.77/2.95 inference(forward_demodulation,[status(thm)],[f21,f247])).
% 19.77/2.95 fof(f312,plain,(
% 19.77/2.95 multiplication(sK1_skl,c(sK1_skl))=zero),
% 19.77/2.95 inference(resolution,[status(thm)],[f160,f55])).
% 19.77/2.95 fof(f328,plain,(
% 19.77/2.95 ![X0]: (multiplication(sK1_skl,multiplication(c(sK1_skl),X0))=multiplication(zero,X0))),
% 19.77/2.95 inference(paramodulation,[status(thm)],[f312,f23])).
% 19.77/2.95 fof(f333,plain,(
% 19.77/2.95 ![X0]: (multiplication(sK1_skl,multiplication(c(sK1_skl),X0))=zero)),
% 19.77/2.95 inference(forward_demodulation,[status(thm)],[f29,f328])).
% 19.77/2.95 fof(f336,plain,(
% 19.77/2.95 addition(c(sK1_skl),sK1_skl)=one),
% 19.77/2.95 inference(resolution,[status(thm)],[f162,f55])).
% 19.77/2.95 fof(f509,plain,(
% 19.77/2.95 addition(sK1_skl,c(sK1_skl))=one),
% 19.77/2.95 inference(paramodulation,[status(thm)],[f19,f336])).
% 19.77/2.95 fof(f542,plain,(
% 19.77/2.95 addition(sK1_skl,one)=addition(sK1_skl,c(sK1_skl))),
% 19.77/2.95 inference(paramodulation,[status(thm)],[f509,f76])).
% 19.77/2.95 fof(f544,plain,(
% 19.77/2.95 addition(sK1_skl,one)=one),
% 19.77/2.95 inference(forward_demodulation,[status(thm)],[f509,f542])).
% 19.77/2.95 fof(f709,plain,(
% 19.77/2.95 ![X0,X1,X2,X3,X4]: (addition(multiplication(X0,X1),addition(X2,addition(X3,multiplication(X0,X4))))=addition(multiplication(X0,addition(X1,X4)),addition(X2,X3)))),
% 19.77/2.95 inference(paramodulation,[status(thm)],[f70,f90])).
% 19.77/2.95 fof(f989,plain,(
% 19.77/2.95 ![X0,X1,X2]: (addition(multiplication(sK1_skl,X0),addition(zero,X1))=addition(multiplication(sK1_skl,addition(X0,multiplication(c(sK1_skl),X2))),X1))),
% 19.77/2.95 inference(paramodulation,[status(thm)],[f333,f90])).
% 19.77/2.95 fof(f1000,plain,(
% 19.77/2.95 ~leq(addition(multiplication(sK1_skl,addition(multiplication(sK1_skl,sK3_skl),multiplication(c(sK1_skl),sK4_skl))),multiplication(c(sK1_skl),sK5_skl)),addition(multiplication(sK1_skl,sK3_skl),multiplication(c(sK1_skl),sK5_skl)))|~leq(addition(multiplication(sK1_skl,sK6_skl),multiplication(c(sK1_skl),sK8_skl)),addition(multiplication(sK1_skl,multiplication(sK1_skl,sK6_skl)),multiplication(c(sK1_skl),sK8_skl)))),
% 19.77/2.95 inference(backward_demodulation,[status(thm)],[f1004,f57])).
% 19.77/2.95 fof(f1004,plain,(
% 19.77/2.95 ![X0,X1,X2]: (addition(multiplication(sK1_skl,X0),X1)=addition(multiplication(sK1_skl,addition(X0,multiplication(c(sK1_skl),X2))),X1))),
% 19.77/2.95 inference(forward_demodulation,[status(thm)],[f101,f989])).
% 19.77/2.95 fof(f1019,plain,(
% 19.77/2.95 ~leq(addition(multiplication(sK1_skl,multiplication(sK1_skl,sK3_skl)),multiplication(c(sK1_skl),sK5_skl)),addition(multiplication(sK1_skl,sK3_skl),multiplication(c(sK1_skl),sK5_skl)))|~leq(addition(multiplication(sK1_skl,sK6_skl),multiplication(c(sK1_skl),sK8_skl)),addition(multiplication(sK1_skl,multiplication(sK1_skl,sK6_skl)),multiplication(c(sK1_skl),sK8_skl)))),
% 19.77/2.95 inference(forward_demodulation,[status(thm)],[f1004,f1000])).
% 19.77/2.95 fof(f1020,plain,(
% 19.77/2.95 ~leq(addition(multiplication(sK1_skl,sK6_skl),multiplication(c(sK1_skl),sK8_skl)),addition(multiplication(sK1_skl,multiplication(sK1_skl,sK6_skl)),multiplication(c(sK1_skl),sK8_skl)))|~addition(addition(multiplication(sK1_skl,multiplication(sK1_skl,sK3_skl)),multiplication(c(sK1_skl),sK5_skl)),addition(multiplication(sK1_skl,sK3_skl),multiplication(c(sK1_skl),sK5_skl)))=addition(multiplication(sK1_skl,sK3_skl),multiplication(c(sK1_skl),sK5_skl))),
% 19.77/2.95 inference(resolution,[status(thm)],[f1019,f33])).
% 19.77/2.95 fof(f1023,plain,(
% 19.77/2.95 ~leq(addition(multiplication(sK1_skl,sK6_skl),multiplication(c(sK1_skl),sK8_skl)),addition(multiplication(sK1_skl,multiplication(sK1_skl,sK6_skl)),multiplication(c(sK1_skl),sK8_skl)))|~addition(multiplication(c(sK1_skl),sK5_skl),addition(multiplication(sK1_skl,multiplication(sK1_skl,sK3_skl)),addition(multiplication(sK1_skl,sK3_skl),multiplication(c(sK1_skl),sK5_skl))))=addition(multiplication(sK1_skl,sK3_skl),multiplication(c(sK1_skl),sK5_skl))),
% 19.77/2.95 inference(forward_demodulation,[status(thm)],[f74,f1020])).
% 19.77/2.95 fof(f1024,plain,(
% 19.77/2.95 ~leq(addition(multiplication(sK1_skl,sK6_skl),multiplication(c(sK1_skl),sK8_skl)),addition(multiplication(sK1_skl,multiplication(sK1_skl,sK6_skl)),multiplication(c(sK1_skl),sK8_skl)))|~addition(multiplication(c(sK1_skl),addition(sK5_skl,sK5_skl)),addition(multiplication(sK1_skl,multiplication(sK1_skl,sK3_skl)),multiplication(sK1_skl,sK3_skl)))=addition(multiplication(sK1_skl,sK3_skl),multiplication(c(sK1_skl),sK5_skl))),
% 19.77/2.95 inference(forward_demodulation,[status(thm)],[f709,f1023])).
% 19.77/2.95 fof(f1025,plain,(
% 19.77/2.95 ~leq(addition(multiplication(sK1_skl,sK6_skl),multiplication(c(sK1_skl),sK8_skl)),addition(multiplication(sK1_skl,multiplication(sK1_skl,sK6_skl)),multiplication(c(sK1_skl),sK8_skl)))|~addition(multiplication(c(sK1_skl),sK5_skl),addition(multiplication(sK1_skl,multiplication(sK1_skl,sK3_skl)),multiplication(sK1_skl,sK3_skl)))=addition(multiplication(sK1_skl,sK3_skl),multiplication(c(sK1_skl),sK5_skl))),
% 19.77/2.95 inference(forward_demodulation,[status(thm)],[f22,f1024])).
% 19.77/2.95 fof(f1026,plain,(
% 19.77/2.95 ~leq(addition(multiplication(sK1_skl,sK6_skl),multiplication(c(sK1_skl),sK8_skl)),addition(multiplication(sK1_skl,multiplication(sK1_skl,sK6_skl)),multiplication(c(sK1_skl),sK8_skl)))|~addition(multiplication(c(sK1_skl),sK5_skl),multiplication(sK1_skl,addition(sK3_skl,multiplication(sK1_skl,sK3_skl))))=addition(multiplication(sK1_skl,sK3_skl),multiplication(c(sK1_skl),sK5_skl))),
% 19.77/2.95 inference(forward_demodulation,[status(thm)],[f85,f1025])).
% 19.77/2.95 fof(f1027,plain,(
% 19.77/2.95 ~leq(addition(multiplication(sK1_skl,sK6_skl),multiplication(c(sK1_skl),sK8_skl)),addition(multiplication(sK1_skl,multiplication(sK1_skl,sK6_skl)),multiplication(c(sK1_skl),sK8_skl)))|~addition(multiplication(c(sK1_skl),sK5_skl),multiplication(sK1_skl,multiplication(addition(one,sK1_skl),sK3_skl)))=addition(multiplication(sK1_skl,sK3_skl),multiplication(c(sK1_skl),sK5_skl))),
% 19.77/2.95 inference(forward_demodulation,[status(thm)],[f198,f1026])).
% 19.77/2.95 fof(f1037,plain,(
% 19.77/2.95 addition(one,one)=addition(one,sK1_skl)),
% 19.77/2.95 inference(paramodulation,[status(thm)],[f544,f170])).
% 19.77/2.95 fof(f1082,plain,(
% 19.77/2.95 ~leq(addition(multiplication(sK1_skl,sK6_skl),multiplication(c(sK1_skl),sK8_skl)),addition(multiplication(sK1_skl,multiplication(sK1_skl,sK6_skl)),multiplication(c(sK1_skl),sK8_skl)))|~addition(multiplication(c(sK1_skl),sK5_skl),multiplication(sK1_skl,multiplication(one,sK3_skl)))=addition(multiplication(sK1_skl,sK3_skl),multiplication(c(sK1_skl),sK5_skl))),
% 19.77/2.95 inference(backward_demodulation,[status(thm)],[f1083,f1027])).
% 19.77/2.95 fof(f1083,plain,(
% 19.77/2.95 one=addition(one,sK1_skl)),
% 19.77/2.95 inference(forward_demodulation,[status(thm)],[f22,f1037])).
% 19.77/2.95 fof(f1146,plain,(
% 19.77/2.95 ~leq(addition(multiplication(sK1_skl,sK6_skl),multiplication(c(sK1_skl),sK8_skl)),addition(multiplication(sK1_skl,multiplication(sK1_skl,sK6_skl)),multiplication(c(sK1_skl),sK8_skl)))|~addition(multiplication(c(sK1_skl),sK5_skl),multiplication(sK1_skl,sK3_skl))=addition(multiplication(sK1_skl,sK3_skl),multiplication(c(sK1_skl),sK5_skl))),
% 19.77/2.95 inference(forward_demodulation,[status(thm)],[f25,f1082])).
% 19.77/2.95 fof(f1147,plain,(
% 19.77/2.95 ~leq(addition(multiplication(sK1_skl,sK6_skl),multiplication(c(sK1_skl),sK8_skl)),addition(multiplication(sK1_skl,multiplication(sK1_skl,sK6_skl)),multiplication(c(sK1_skl),sK8_skl)))),
% 19.77/2.95 inference(forward_subsumption_resolution,[status(thm)],[f1146,f19])).
% 19.77/2.95 fof(f1605,plain,(
% 19.77/2.95 addition(sK1_skl,sK0_skl(sK1_skl))=one),
% 19.77/2.95 inference(resolution,[status(thm)],[f161,f55])).
% 19.77/2.95 fof(f1760,plain,(
% 19.77/2.95 ![X0,X1]: (multiplication(addition(one,X0),X1)=addition(multiplication(X0,X1),X1))),
% 19.77/2.95 inference(paramodulation,[status(thm)],[f25,f194])).
% 19.77/2.95 fof(f2407,plain,(
% 19.77/2.95 ~addition(addition(multiplication(sK1_skl,sK6_skl),multiplication(c(sK1_skl),sK8_skl)),addition(multiplication(sK1_skl,multiplication(sK1_skl,sK6_skl)),multiplication(c(sK1_skl),sK8_skl)))=addition(multiplication(sK1_skl,multiplication(sK1_skl,sK6_skl)),multiplication(c(sK1_skl),sK8_skl))),
% 19.77/2.95 inference(resolution,[status(thm)],[f1147,f33])).
% 19.77/2.95 fof(f2410,plain,(
% 19.77/2.95 ~addition(multiplication(c(sK1_skl),sK8_skl),addition(multiplication(sK1_skl,sK6_skl),addition(multiplication(sK1_skl,multiplication(sK1_skl,sK6_skl)),multiplication(c(sK1_skl),sK8_skl))))=addition(multiplication(sK1_skl,multiplication(sK1_skl,sK6_skl)),multiplication(c(sK1_skl),sK8_skl))),
% 19.77/2.95 inference(forward_demodulation,[status(thm)],[f74,f2407])).
% 19.77/2.95 fof(f2411,plain,(
% 19.77/2.95 ~addition(multiplication(c(sK1_skl),addition(sK8_skl,sK8_skl)),addition(multiplication(sK1_skl,sK6_skl),multiplication(sK1_skl,multiplication(sK1_skl,sK6_skl))))=addition(multiplication(sK1_skl,multiplication(sK1_skl,sK6_skl)),multiplication(c(sK1_skl),sK8_skl))),
% 19.77/2.95 inference(forward_demodulation,[status(thm)],[f709,f2410])).
% 19.77/2.95 fof(f2412,plain,(
% 19.77/2.95 ~addition(multiplication(c(sK1_skl),sK8_skl),addition(multiplication(sK1_skl,sK6_skl),multiplication(sK1_skl,multiplication(sK1_skl,sK6_skl))))=addition(multiplication(sK1_skl,multiplication(sK1_skl,sK6_skl)),multiplication(c(sK1_skl),sK8_skl))),
% 19.77/2.95 inference(forward_demodulation,[status(thm)],[f22,f2411])).
% 19.77/2.95 fof(f2413,plain,(
% 19.77/2.99 ~addition(multiplication(c(sK1_skl),sK8_skl),multiplication(sK1_skl,addition(multiplication(sK1_skl,sK6_skl),sK6_skl)))=addition(multiplication(sK1_skl,multiplication(sK1_skl,sK6_skl)),multiplication(c(sK1_skl),sK8_skl))),
% 19.77/2.99 inference(forward_demodulation,[status(thm)],[f85,f2412])).
% 19.77/2.99 fof(f2414,plain,(
% 19.77/2.99 ~addition(multiplication(c(sK1_skl),sK8_skl),multiplication(sK1_skl,multiplication(addition(one,sK1_skl),sK6_skl)))=addition(multiplication(sK1_skl,multiplication(sK1_skl,sK6_skl)),multiplication(c(sK1_skl),sK8_skl))),
% 19.77/2.99 inference(forward_demodulation,[status(thm)],[f1760,f2413])).
% 19.77/2.99 fof(f2415,plain,(
% 19.77/2.99 ~addition(multiplication(c(sK1_skl),sK8_skl),multiplication(sK1_skl,multiplication(one,sK6_skl)))=addition(multiplication(sK1_skl,multiplication(sK1_skl,sK6_skl)),multiplication(c(sK1_skl),sK8_skl))),
% 19.77/2.99 inference(forward_demodulation,[status(thm)],[f1083,f2414])).
% 19.77/2.99 fof(f2416,plain,(
% 19.77/2.99 ~addition(multiplication(c(sK1_skl),sK8_skl),multiplication(sK1_skl,sK6_skl))=addition(multiplication(sK1_skl,multiplication(sK1_skl,sK6_skl)),multiplication(c(sK1_skl),sK8_skl))),
% 19.77/2.99 inference(forward_demodulation,[status(thm)],[f25,f2415])).
% 19.77/2.99 fof(f16955,plain,(
% 19.77/2.99 multiplication(sK1_skl,one)=multiplication(sK1_skl,sK1_skl)),
% 19.77/2.99 inference(paramodulation,[status(thm)],[f1605,f252])).
% 19.77/2.99 fof(f17004,plain,(
% 19.77/2.99 sK1_skl=multiplication(sK1_skl,sK1_skl)),
% 19.77/2.99 inference(forward_demodulation,[status(thm)],[f24,f16955])).
% 19.77/2.99 fof(f17074,plain,(
% 19.77/2.99 ![X0]: (multiplication(sK1_skl,multiplication(sK1_skl,X0))=multiplication(sK1_skl,X0))),
% 19.77/2.99 inference(paramodulation,[status(thm)],[f17004,f23])).
% 19.77/2.99 fof(f17114,plain,(
% 19.77/2.99 ~addition(multiplication(c(sK1_skl),sK8_skl),multiplication(sK1_skl,sK6_skl))=addition(multiplication(sK1_skl,sK6_skl),multiplication(c(sK1_skl),sK8_skl))),
% 19.77/2.99 inference(backward_demodulation,[status(thm)],[f17074,f2416])).
% 19.77/2.99 fof(f17118,plain,(
% 19.77/2.99 $false),
% 19.77/2.99 inference(forward_subsumption_resolution,[status(thm)],[f17114,f19])).
% 19.77/2.99 % SZS output end CNFRefutation for theBenchmark.p
% 19.77/2.99 % Elapsed time: 2.615052 seconds
% 19.77/2.99 % CPU time: 20.378135 seconds
% 19.77/2.99 % Total memory used: 287.091 MB
% 19.77/2.99 % Net memory used: 279.169 MB
%------------------------------------------------------------------------------