%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : KLE027+4 : 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 : n015.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 26.98s 3.87s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KLE027+4 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n015.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 22:42:35 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.13/0.36 % Drodi V4.1.1
% 26.98/3.87 % Refutation found
% 26.98/3.87 % SZS status Theorem for theBenchmark: Theorem is valid
% 26.98/3.87 % SZS output start CNFRefutation for theBenchmark
% 26.98/3.87 fof(f1,axiom,(
% 26.98/3.87 (! [A,B] : addition(A,B) = addition(B,A) )),
% 26.98/3.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 26.98/3.87 fof(f2,axiom,(
% 26.98/3.87 (! [C,B,A] : addition(A,addition(B,C)) = addition(addition(A,B),C) )),
% 26.98/3.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 26.98/3.87 fof(f3,axiom,(
% 26.98/3.87 (! [A] : addition(A,zero) = A )),
% 26.98/3.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 26.98/3.87 fof(f4,axiom,(
% 26.98/3.87 (! [A] : addition(A,A) = A )),
% 26.98/3.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 26.98/3.87 fof(f5,axiom,(
% 26.98/3.87 (! [A,B,C] : multiplication(A,multiplication(B,C)) = multiplication(multiplication(A,B),C) )),
% 26.98/3.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 26.98/3.87 fof(f6,axiom,(
% 26.98/3.87 (! [A] : multiplication(A,one) = A )),
% 26.98/3.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 26.98/3.87 fof(f7,axiom,(
% 26.98/3.87 (! [A] : multiplication(one,A) = A )),
% 26.98/3.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 26.98/3.87 fof(f8,axiom,(
% 26.98/3.87 (! [A,B,C] : multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)) )),
% 26.98/3.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 26.98/3.87 fof(f9,axiom,(
% 26.98/3.87 (! [A,B,C] : multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)) )),
% 26.98/3.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 26.98/3.87 fof(f11,axiom,(
% 26.98/3.87 (! [A] : multiplication(zero,A) = zero )),
% 26.98/3.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 26.98/3.87 fof(f12,axiom,(
% 26.98/3.87 (! [A,B] :( leq(A,B)<=> addition(A,B) = B ) )),
% 26.98/3.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 26.98/3.87 fof(f13,axiom,(
% 26.98/3.87 (! [X0] :( test(X0)<=> (? [X1] : complement(X1,X0) )) )),
% 26.98/3.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 26.98/3.87 fof(f14,axiom,(
% 26.98/3.87 (! [X0,X1] :( complement(X1,X0)<=> ( multiplication(X0,X1) = zero& multiplication(X1,X0) = zero& addition(X0,X1) = one ) ) )),
% 26.98/3.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 26.98/3.87 fof(f15,axiom,(
% 26.98/3.87 (! [X0,X1] :( test(X0)=> ( c(X0) = X1<=> complement(X0,X1) ) ) )),
% 26.98/3.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 26.98/3.87 fof(f19,conjecture,(
% 26.98/3.87 (! [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))) ) ) )),
% 26.98/3.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 26.98/3.87 fof(f20,negated_conjecture,(
% 26.98/3.87 ~((! [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))) ) ) ))),
% 26.98/3.87 inference(negated_conjecture,[status(cth)],[f19])).
% 26.98/3.87 fof(f21,plain,(
% 26.98/3.87 ![X0,X1]: (addition(X0,X1)=addition(X1,X0))),
% 26.98/3.87 inference(cnf_transformation,[status(thm)],[f1])).
% 26.98/3.87 fof(f22,plain,(
% 26.98/3.87 ![X0,X1,X2]: (addition(X0,addition(X1,X2))=addition(addition(X0,X1),X2))),
% 26.98/3.87 inference(cnf_transformation,[status(thm)],[f2])).
% 26.98/3.87 fof(f23,plain,(
% 26.98/3.87 ![X0]: (addition(X0,zero)=X0)),
% 26.98/3.87 inference(cnf_transformation,[status(thm)],[f3])).
% 26.98/3.87 fof(f24,plain,(
% 26.98/3.87 ![X0]: (addition(X0,X0)=X0)),
% 26.98/3.87 inference(cnf_transformation,[status(thm)],[f4])).
% 26.98/3.87 fof(f25,plain,(
% 26.98/3.87 ![X0,X1,X2]: (multiplication(X0,multiplication(X1,X2))=multiplication(multiplication(X0,X1),X2))),
% 26.98/3.87 inference(cnf_transformation,[status(thm)],[f5])).
% 26.98/3.87 fof(f26,plain,(
% 26.98/3.87 ![X0]: (multiplication(X0,one)=X0)),
% 26.98/3.87 inference(cnf_transformation,[status(thm)],[f6])).
% 26.98/3.87 fof(f27,plain,(
% 26.98/3.87 ![X0]: (multiplication(one,X0)=X0)),
% 26.98/3.87 inference(cnf_transformation,[status(thm)],[f7])).
% 26.98/3.87 fof(f28,plain,(
% 26.98/3.87 ![X0,X1,X2]: (multiplication(X0,addition(X1,X2))=addition(multiplication(X0,X1),multiplication(X0,X2)))),
% 26.98/3.87 inference(cnf_transformation,[status(thm)],[f8])).
% 26.98/3.87 fof(f29,plain,(
% 26.98/3.87 ![X0,X1,X2]: (multiplication(addition(X0,X1),X2)=addition(multiplication(X0,X2),multiplication(X1,X2)))),
% 26.98/3.87 inference(cnf_transformation,[status(thm)],[f9])).
% 26.98/3.87 fof(f31,plain,(
% 26.98/3.87 ![X0]: (multiplication(zero,X0)=zero)),
% 26.98/3.87 inference(cnf_transformation,[status(thm)],[f11])).
% 26.98/3.87 fof(f32,plain,(
% 26.98/3.87 ![A,B]: ((~leq(A,B)|addition(A,B)=B)&(leq(A,B)|~addition(A,B)=B))),
% 26.98/3.87 inference(NNF_transformation,[status(thm)],[f12])).
% 26.98/3.87 fof(f33,plain,(
% 26.98/3.87 (![A,B]: (~leq(A,B)|addition(A,B)=B))&(![A,B]: (leq(A,B)|~addition(A,B)=B))),
% 26.98/3.87 inference(miniscoping,[status(thm)],[f32])).
% 26.98/3.87 fof(f35,plain,(
% 26.98/3.87 ![X0,X1]: (leq(X0,X1)|~addition(X0,X1)=X1)),
% 26.98/3.87 inference(cnf_transformation,[status(thm)],[f33])).
% 26.98/3.87 fof(f36,plain,(
% 26.98/3.87 ![X0]: ((~test(X0)|(?[X1]: complement(X1,X0)))&(test(X0)|(![X1]: ~complement(X1,X0))))),
% 26.98/3.87 inference(NNF_transformation,[status(thm)],[f13])).
% 26.98/3.87 fof(f37,plain,(
% 26.98/3.87 (![X0]: (~test(X0)|(?[X1]: complement(X1,X0))))&(![X0]: (test(X0)|(![X1]: ~complement(X1,X0))))),
% 26.98/3.87 inference(miniscoping,[status(thm)],[f36])).
% 26.98/3.87 fof(f38,plain,(
% 26.98/3.87 (![X0]: (~test(X0)|complement(sK0_skl(X0),X0)))&(![X0]: (test(X0)|(![X1]: ~complement(X1,X0))))),
% 26.98/3.87 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(X1,sK0_skl(X0))],[f37])).
% 26.98/3.87 fof(f39,plain,(
% 26.98/3.87 ![X0]: (~test(X0)|complement(sK0_skl(X0),X0))),
% 26.98/3.87 inference(cnf_transformation,[status(thm)],[f38])).
% 26.98/3.87 fof(f41,plain,(
% 26.98/3.87 ![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)))),
% 26.98/3.87 inference(NNF_transformation,[status(thm)],[f14])).
% 26.98/3.87 fof(f42,plain,(
% 26.98/3.87 (![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)))),
% 26.98/3.87 inference(miniscoping,[status(thm)],[f41])).
% 26.98/3.87 fof(f43,plain,(
% 26.98/3.87 ![X0,X1]: (~complement(X0,X1)|multiplication(X1,X0)=zero)),
% 26.98/3.87 inference(cnf_transformation,[status(thm)],[f42])).
% 26.98/3.87 fof(f44,plain,(
% 26.98/3.87 ![X0,X1]: (~complement(X0,X1)|multiplication(X0,X1)=zero)),
% 26.98/3.87 inference(cnf_transformation,[status(thm)],[f42])).
% 26.98/3.87 fof(f45,plain,(
% 26.98/3.87 ![X0,X1]: (~complement(X0,X1)|addition(X1,X0)=one)),
% 26.98/3.87 inference(cnf_transformation,[status(thm)],[f42])).
% 26.98/3.87 fof(f47,plain,(
% 26.98/3.87 ![X0,X1]: (~test(X0)|(c(X0)=X1<=>complement(X0,X1)))),
% 26.98/3.87 inference(pre_NNF_transformation,[status(thm)],[f15])).
% 26.98/3.87 fof(f48,plain,(
% 26.98/3.87 ![X0,X1]: (~test(X0)|((~c(X0)=X1|complement(X0,X1))&(c(X0)=X1|~complement(X0,X1))))),
% 26.98/3.87 inference(NNF_transformation,[status(thm)],[f47])).
% 26.98/3.87 fof(f49,plain,(
% 26.98/3.87 ![X0]: (~test(X0)|((![X1]: (~c(X0)=X1|complement(X0,X1)))&(![X1]: (c(X0)=X1|~complement(X0,X1)))))),
% 26.98/3.87 inference(miniscoping,[status(thm)],[f48])).
% 26.98/3.87 fof(f50,plain,(
% 26.98/3.87 ![X0,X1]: (~test(X0)|~c(X0)=X1|complement(X0,X1))),
% 26.98/3.87 inference(cnf_transformation,[status(thm)],[f49])).
% 26.98/3.87 fof(f58,plain,(
% 26.98/3.87 (?[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))))))),
% 26.98/3.87 inference(pre_NNF_transformation,[status(thm)],[f20])).
% 26.98/3.87 fof(f59,plain,(
% 26.98/3.87 ?[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))))))),
% 26.98/3.87 inference(miniscoping,[status(thm)],[f58])).
% 26.98/3.87 fof(f60,plain,(
% 26.98/3.87 ((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)))))),
% 26.98/3.87 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)],[f59])).
% 26.98/3.87 fof(f61,plain,(
% 26.98/3.87 test(sK1_skl)),
% 26.98/3.87 inference(cnf_transformation,[status(thm)],[f60])).
% 26.98/3.87 fof(f63,plain,(
% 26.98/3.87 ~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)))),
% 26.98/3.87 inference(cnf_transformation,[status(thm)],[f60])).
% 26.98/3.87 fof(f64,plain,(
% 26.98/3.87 ![X0]: (~test(X0)|complement(X0,c(X0)))),
% 26.98/3.87 inference(destructive_equality_resolution,[status(thm)],[f50])).
% 26.98/3.87 fof(f74,plain,(
% 26.98/3.87 ![X0,X1,X2]: (addition(X0,addition(X1,X2))=addition(X2,addition(X0,X1)))),
% 26.98/3.87 inference(paramodulation,[status(thm)],[f21,f22])).
% 26.98/3.87 fof(f80,plain,(
% 26.98/3.87 ![X0,X1]: (addition(X0,addition(X0,X1))=addition(X0,X1))),
% 26.98/3.87 inference(paramodulation,[status(thm)],[f24,f22])).
% 26.98/3.87 fof(f165,plain,(
% 26.98/3.87 ![X0,X1]: (addition(X0,addition(X0,X1))=addition(X1,X0))),
% 26.98/3.87 inference(paramodulation,[status(thm)],[f24,f74])).
% 26.98/3.87 fof(f285,plain,(
% 26.98/3.87 ![X0,X1,X2,X3]: (addition(multiplication(X0,X1),addition(multiplication(X0,X2),X3))=addition(multiplication(X0,addition(X1,X2)),X3))),
% 26.98/3.87 inference(paramodulation,[status(thm)],[f28,f22])).
% 26.98/3.87 fof(f303,plain,(
% 26.98/3.87 ![X0,X1,X2]: (multiplication(addition(X0,X1),X2)=addition(multiplication(X1,X2),multiplication(X0,X2)))),
% 26.98/3.88 inference(paramodulation,[status(thm)],[f21,f29])).
% 26.98/3.88 fof(f327,plain,(
% 26.98/3.88 ![X0]: (addition(zero,X0)=X0)),
% 26.98/3.88 inference(paramodulation,[status(thm)],[f21,f23])).
% 26.98/3.88 fof(f430,plain,(
% 26.98/3.88 ![X0]: (multiplication(X0,sK0_skl(X0))=zero|~test(X0))),
% 26.98/3.88 inference(resolution,[status(thm)],[f43,f39])).
% 26.98/3.88 fof(f433,plain,(
% 26.98/3.88 ![X0]: (multiplication(X0,c(X0))=zero|~test(X0))),
% 26.98/3.88 inference(resolution,[status(thm)],[f44,f64])).
% 26.98/3.88 fof(f434,plain,(
% 26.98/3.88 ![X0]: (addition(X0,sK0_skl(X0))=one|~test(X0))),
% 26.98/3.88 inference(resolution,[status(thm)],[f45,f39])).
% 26.98/3.88 fof(f495,plain,(
% 26.98/3.88 ![X0,X1,X2]: (addition(X0,addition(addition(X0,X1),X2))=addition(addition(X1,X0),X2))),
% 26.98/3.88 inference(paramodulation,[status(thm)],[f165,f22])).
% 26.98/3.88 fof(f536,plain,(
% 26.98/3.88 ![X0,X1,X2]: (addition(X0,addition(X0,addition(X1,X2)))=addition(addition(X1,X0),X2))),
% 26.98/3.88 inference(forward_demodulation,[status(thm)],[f22,f495])).
% 26.98/3.88 fof(f537,plain,(
% 26.98/3.88 ![X0,X1,X2]: (addition(addition(X0,X1),X2)=addition(addition(X0,X2),X1))),
% 26.98/3.88 inference(forward_demodulation,[status(thm)],[f165,f536])).
% 26.98/3.88 fof(f538,plain,(
% 26.98/3.88 ![X0,X1,X2]: (addition(X0,addition(X1,X2))=addition(addition(X0,X2),X1))),
% 26.98/3.88 inference(forward_demodulation,[status(thm)],[f22,f537])).
% 26.98/3.88 fof(f2094,plain,(
% 26.98/3.88 multiplication(sK1_skl,sK0_skl(sK1_skl))=zero),
% 26.98/3.88 inference(resolution,[status(thm)],[f430,f61])).
% 26.98/3.88 fof(f2108,plain,(
% 26.98/3.88 ![X0]: (multiplication(sK1_skl,addition(X0,sK0_skl(sK1_skl)))=addition(multiplication(sK1_skl,X0),zero))),
% 26.98/3.88 inference(paramodulation,[status(thm)],[f2094,f28])).
% 26.98/3.88 fof(f2113,plain,(
% 26.98/3.88 ![X0]: (multiplication(sK1_skl,addition(X0,sK0_skl(sK1_skl)))=multiplication(sK1_skl,X0))),
% 26.98/3.88 inference(forward_demodulation,[status(thm)],[f23,f2108])).
% 26.98/3.88 fof(f2166,plain,(
% 26.98/3.88 multiplication(sK1_skl,c(sK1_skl))=zero),
% 26.98/3.88 inference(resolution,[status(thm)],[f433,f61])).
% 26.98/3.88 fof(f2525,plain,(
% 26.98/3.88 ![X0,X1]: (multiplication(addition(X0,one),X1)=addition(X1,multiplication(X0,X1)))),
% 26.98/3.88 inference(paramodulation,[status(thm)],[f27,f303])).
% 26.98/3.88 fof(f2537,plain,(
% 26.98/3.88 ![X0,X1]: (multiplication(addition(one,X0),X1)=addition(multiplication(X0,X1),X1))),
% 26.98/3.88 inference(paramodulation,[status(thm)],[f27,f303])).
% 26.98/3.88 fof(f2621,plain,(
% 26.98/3.88 ![X0]: (multiplication(sK1_skl,multiplication(c(sK1_skl),X0))=multiplication(zero,X0))),
% 26.98/3.88 inference(paramodulation,[status(thm)],[f2166,f25])).
% 26.98/3.88 fof(f2634,plain,(
% 26.98/3.88 ![X0]: (multiplication(sK1_skl,multiplication(c(sK1_skl),X0))=zero)),
% 26.98/3.88 inference(forward_demodulation,[status(thm)],[f31,f2621])).
% 26.98/3.88 fof(f2857,plain,(
% 26.98/3.88 ![X0,X1,X2]: (addition(multiplication(sK1_skl,X0),addition(zero,X1))=addition(multiplication(sK1_skl,addition(X0,multiplication(c(sK1_skl),X2))),X1))),
% 26.98/3.88 inference(paramodulation,[status(thm)],[f2634,f285])).
% 26.98/3.88 fof(f2872,plain,(
% 26.98/3.88 ~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)))),
% 26.98/3.88 inference(backward_demodulation,[status(thm)],[f2874,f63])).
% 26.98/3.88 fof(f2874,plain,(
% 26.98/3.88 ![X0,X1,X2]: (addition(multiplication(sK1_skl,X0),X1)=addition(multiplication(sK1_skl,addition(X0,multiplication(c(sK1_skl),X2))),X1))),
% 26.98/3.88 inference(forward_demodulation,[status(thm)],[f327,f2857])).
% 26.98/3.88 fof(f2890,plain,(
% 26.98/3.88 ~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)))),
% 26.98/3.88 inference(forward_demodulation,[status(thm)],[f2874,f2872])).
% 26.98/3.88 fof(f3221,plain,(
% 26.98/3.88 ~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))),
% 26.98/3.88 inference(resolution,[status(thm)],[f2890,f35])).
% 26.98/3.88 fof(f3224,plain,(
% 26.98/3.88 ~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(sK1_skl,multiplication(sK1_skl,sK3_skl)),addition(addition(multiplication(sK1_skl,sK3_skl),multiplication(c(sK1_skl),sK5_skl)),multiplication(c(sK1_skl),sK5_skl)))=addition(multiplication(sK1_skl,sK3_skl),multiplication(c(sK1_skl),sK5_skl))),
% 26.98/3.88 inference(forward_demodulation,[status(thm)],[f538,f3221])).
% 26.98/3.88 fof(f3225,plain,(
% 26.98/3.88 ~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(sK1_skl,multiplication(sK1_skl,sK3_skl)),addition(multiplication(sK1_skl,sK3_skl),addition(multiplication(c(sK1_skl),sK5_skl),multiplication(c(sK1_skl),sK5_skl))))=addition(multiplication(sK1_skl,sK3_skl),multiplication(c(sK1_skl),sK5_skl))),
% 26.98/3.88 inference(forward_demodulation,[status(thm)],[f538,f3224])).
% 26.98/3.88 fof(f3226,plain,(
% 26.98/3.88 ~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(sK1_skl,addition(multiplication(sK1_skl,sK3_skl),sK3_skl)),addition(multiplication(c(sK1_skl),sK5_skl),multiplication(c(sK1_skl),sK5_skl)))=addition(multiplication(sK1_skl,sK3_skl),multiplication(c(sK1_skl),sK5_skl))),
% 26.98/3.88 inference(forward_demodulation,[status(thm)],[f285,f3225])).
% 26.98/3.88 fof(f3227,plain,(
% 26.98/3.88 ~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(sK1_skl,multiplication(addition(one,sK1_skl),sK3_skl)),addition(multiplication(c(sK1_skl),sK5_skl),multiplication(c(sK1_skl),sK5_skl)))=addition(multiplication(sK1_skl,sK3_skl),multiplication(c(sK1_skl),sK5_skl))),
% 26.98/3.88 inference(forward_demodulation,[status(thm)],[f2537,f3226])).
% 26.98/3.88 fof(f3228,plain,(
% 26.98/3.88 ~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(sK1_skl,multiplication(addition(one,sK1_skl),sK3_skl)),multiplication(addition(c(sK1_skl),c(sK1_skl)),sK5_skl))=addition(multiplication(sK1_skl,sK3_skl),multiplication(c(sK1_skl),sK5_skl))),
% 26.98/3.88 inference(forward_demodulation,[status(thm)],[f303,f3227])).
% 26.98/3.88 fof(f3229,plain,(
% 26.98/3.88 ~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(sK1_skl,multiplication(addition(one,sK1_skl),sK3_skl)),multiplication(c(sK1_skl),sK5_skl))=addition(multiplication(sK1_skl,sK3_skl),multiplication(c(sK1_skl),sK5_skl))),
% 26.98/3.88 inference(forward_demodulation,[status(thm)],[f24,f3228])).
% 26.98/3.88 fof(f3460,plain,(
% 26.98/3.88 addition(sK1_skl,sK0_skl(sK1_skl))=one),
% 26.98/3.88 inference(resolution,[status(thm)],[f434,f61])).
% 26.98/3.88 fof(f3555,plain,(
% 26.98/3.88 addition(sK1_skl,one)=addition(sK1_skl,sK0_skl(sK1_skl))),
% 26.98/3.88 inference(paramodulation,[status(thm)],[f3460,f80])).
% 26.98/3.88 fof(f3562,plain,(
% 26.98/3.88 addition(sK1_skl,one)=one),
% 26.98/3.88 inference(forward_demodulation,[status(thm)],[f3460,f3555])).
% 26.98/3.88 fof(f3573,plain,(
% 26.98/3.88 addition(sK1_skl,one)=addition(one,sK1_skl)),
% 26.98/3.88 inference(paramodulation,[status(thm)],[f3562,f165])).
% 26.98/3.88 fof(f3582,plain,(
% 26.98/3.88 ~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(sK1_skl,multiplication(one,sK3_skl)),multiplication(c(sK1_skl),sK5_skl))=addition(multiplication(sK1_skl,sK3_skl),multiplication(c(sK1_skl),sK5_skl))),
% 26.98/3.88 inference(backward_demodulation,[status(thm)],[f3583,f3229])).
% 26.98/3.88 fof(f3583,plain,(
% 26.98/3.88 one=addition(one,sK1_skl)),
% 26.98/3.88 inference(forward_demodulation,[status(thm)],[f3562,f3573])).
% 26.98/3.88 fof(f3586,plain,(
% 26.98/3.88 ~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(sK1_skl,sK3_skl),multiplication(c(sK1_skl),sK5_skl))=addition(multiplication(sK1_skl,sK3_skl),multiplication(c(sK1_skl),sK5_skl))),
% 26.98/3.88 inference(forward_demodulation,[status(thm)],[f27,f3582])).
% 26.98/3.88 fof(f3587,plain,(
% 26.98/3.88 ~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)))),
% 26.98/3.88 inference(trivial_equality_resolution,[status(thm)],[f3586])).
% 26.98/3.88 fof(f8347,plain,(
% 26.98/3.88 ~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))),
% 26.98/3.88 inference(resolution,[status(thm)],[f3587,f35])).
% 26.98/3.88 fof(f8350,plain,(
% 26.98/3.88 ~addition(multiplication(sK1_skl,sK6_skl),addition(addition(multiplication(sK1_skl,multiplication(sK1_skl,sK6_skl)),multiplication(c(sK1_skl),sK8_skl)),multiplication(c(sK1_skl),sK8_skl)))=addition(multiplication(sK1_skl,multiplication(sK1_skl,sK6_skl)),multiplication(c(sK1_skl),sK8_skl))),
% 26.98/3.88 inference(forward_demodulation,[status(thm)],[f538,f8347])).
% 26.98/3.88 fof(f8351,plain,(
% 26.98/3.88 ~addition(multiplication(sK1_skl,sK6_skl),addition(multiplication(sK1_skl,multiplication(sK1_skl,sK6_skl)),addition(multiplication(c(sK1_skl),sK8_skl),multiplication(c(sK1_skl),sK8_skl))))=addition(multiplication(sK1_skl,multiplication(sK1_skl,sK6_skl)),multiplication(c(sK1_skl),sK8_skl))),
% 26.98/3.88 inference(forward_demodulation,[status(thm)],[f538,f8350])).
% 26.98/3.90 fof(f8352,plain,(
% 26.98/3.90 ~addition(multiplication(sK1_skl,addition(sK6_skl,multiplication(sK1_skl,sK6_skl))),addition(multiplication(c(sK1_skl),sK8_skl),multiplication(c(sK1_skl),sK8_skl)))=addition(multiplication(sK1_skl,multiplication(sK1_skl,sK6_skl)),multiplication(c(sK1_skl),sK8_skl))),
% 26.98/3.90 inference(forward_demodulation,[status(thm)],[f285,f8351])).
% 26.98/3.90 fof(f8353,plain,(
% 26.98/3.90 ~addition(multiplication(sK1_skl,multiplication(addition(sK1_skl,one),sK6_skl)),addition(multiplication(c(sK1_skl),sK8_skl),multiplication(c(sK1_skl),sK8_skl)))=addition(multiplication(sK1_skl,multiplication(sK1_skl,sK6_skl)),multiplication(c(sK1_skl),sK8_skl))),
% 26.98/3.90 inference(forward_demodulation,[status(thm)],[f2525,f8352])).
% 26.98/3.90 fof(f8354,plain,(
% 26.98/3.90 ~addition(multiplication(sK1_skl,multiplication(one,sK6_skl)),addition(multiplication(c(sK1_skl),sK8_skl),multiplication(c(sK1_skl),sK8_skl)))=addition(multiplication(sK1_skl,multiplication(sK1_skl,sK6_skl)),multiplication(c(sK1_skl),sK8_skl))),
% 26.98/3.90 inference(forward_demodulation,[status(thm)],[f3562,f8353])).
% 26.98/3.90 fof(f8355,plain,(
% 26.98/3.90 ~addition(multiplication(sK1_skl,sK6_skl),addition(multiplication(c(sK1_skl),sK8_skl),multiplication(c(sK1_skl),sK8_skl)))=addition(multiplication(sK1_skl,multiplication(sK1_skl,sK6_skl)),multiplication(c(sK1_skl),sK8_skl))),
% 26.98/3.90 inference(forward_demodulation,[status(thm)],[f27,f8354])).
% 26.98/3.90 fof(f8356,plain,(
% 26.98/3.90 ~addition(multiplication(sK1_skl,sK6_skl),multiplication(addition(c(sK1_skl),c(sK1_skl)),sK8_skl))=addition(multiplication(sK1_skl,multiplication(sK1_skl,sK6_skl)),multiplication(c(sK1_skl),sK8_skl))),
% 26.98/3.90 inference(forward_demodulation,[status(thm)],[f303,f8355])).
% 26.98/3.90 fof(f8357,plain,(
% 26.98/3.90 ~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))),
% 26.98/3.90 inference(forward_demodulation,[status(thm)],[f24,f8356])).
% 26.98/3.90 fof(f15294,plain,(
% 26.98/3.90 multiplication(sK1_skl,one)=multiplication(sK1_skl,sK1_skl)),
% 26.98/3.90 inference(paramodulation,[status(thm)],[f3460,f2113])).
% 26.98/3.90 fof(f15344,plain,(
% 26.98/3.90 sK1_skl=multiplication(sK1_skl,sK1_skl)),
% 26.98/3.90 inference(forward_demodulation,[status(thm)],[f26,f15294])).
% 26.98/3.90 fof(f15444,plain,(
% 26.98/3.90 ![X0]: (multiplication(sK1_skl,multiplication(sK1_skl,X0))=multiplication(sK1_skl,X0))),
% 26.98/3.90 inference(paramodulation,[status(thm)],[f15344,f25])).
% 26.98/3.90 fof(f15480,plain,(
% 26.98/3.90 ~addition(multiplication(sK1_skl,sK6_skl),multiplication(c(sK1_skl),sK8_skl))=addition(multiplication(sK1_skl,sK6_skl),multiplication(c(sK1_skl),sK8_skl))),
% 26.98/3.90 inference(backward_demodulation,[status(thm)],[f15444,f8357])).
% 26.98/3.90 fof(f15485,plain,(
% 26.98/3.90 $false),
% 26.98/3.90 inference(trivial_equality_resolution,[status(thm)],[f15480])).
% 26.98/3.90 % SZS output end CNFRefutation for theBenchmark.p
% 11.47/3.94 % Elapsed time: 3.569014 seconds
% 11.47/3.94 % CPU time: 27.958747 seconds
% 11.47/3.94 % Total memory used: 342.404 MB
% 11.47/3.94 % Net memory used: 333.824 MB
%------------------------------------------------------------------------------