%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : KLE078+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 : n002.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 12:58:18 PM UTC 2026
% Result : Theorem 150.87s 19.51s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KLE078+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n002.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 20 22:45:06 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 150.87/19.51 % Refutation found
% 150.87/19.51 % SZS status Theorem for theBenchmark: Theorem is valid
% 150.87/19.51 % SZS output start CNFRefutation for theBenchmark
% 150.87/19.51 fof(f1,axiom,(
% 150.87/19.51 (! [A,B] : addition(A,B) = addition(B,A) )),
% 150.87/19.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 150.87/19.51 fof(f2,axiom,(
% 150.87/19.51 (! [C,B,A] : addition(A,addition(B,C)) = addition(addition(A,B),C) )),
% 150.87/19.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 150.87/19.51 fof(f3,axiom,(
% 150.87/19.51 (! [A] : addition(A,zero) = A )),
% 150.87/19.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 150.87/19.51 fof(f4,axiom,(
% 150.87/19.51 (! [A] : addition(A,A) = A )),
% 150.87/19.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 150.87/19.51 fof(f5,axiom,(
% 150.87/19.51 (! [A,B,C] : multiplication(A,multiplication(B,C)) = multiplication(multiplication(A,B),C) )),
% 150.87/19.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 150.87/19.51 fof(f6,axiom,(
% 150.87/19.51 (! [A] : multiplication(A,one) = A )),
% 150.87/19.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 150.87/19.51 fof(f7,axiom,(
% 150.87/19.51 (! [A] : multiplication(one,A) = A )),
% 150.87/19.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 150.87/19.51 fof(f8,axiom,(
% 150.87/19.51 (! [A,B,C] : multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)) )),
% 150.87/19.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 150.87/19.51 fof(f9,axiom,(
% 150.87/19.51 (! [A,B,C] : multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)) )),
% 150.87/19.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 150.87/19.51 fof(f13,axiom,(
% 150.87/19.51 (! [X0] : addition(X0,multiplication(domain(X0),X0)) = multiplication(domain(X0),X0) )),
% 150.87/19.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 150.87/19.51 fof(f14,axiom,(
% 150.87/19.51 (! [X0,X1] : domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))) )),
% 150.87/19.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 150.87/19.51 fof(f15,axiom,(
% 150.87/19.51 (! [X0] : addition(domain(X0),one) = one )),
% 150.87/19.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 150.87/19.51 fof(f16,axiom,(
% 150.87/19.51 domain(zero) = zero ),
% 150.87/19.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 150.87/19.51 fof(f17,axiom,(
% 150.87/19.51 (! [X0,X1] : domain(addition(X0,X1)) = addition(domain(X0),domain(X1)) )),
% 150.87/19.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 150.87/19.51 fof(f18,conjecture,(
% 150.87/19.51 (! [X0] :( (! [X1] :( addition(domain(X1),antidomain(X1)) = one& multiplication(domain(X1),antidomain(X1)) = zero ))=> domain(antidomain(X0)) = antidomain(X0) ) )),
% 150.87/19.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 150.87/19.51 fof(f19,negated_conjecture,(
% 150.87/19.51 ~((! [X0] :( (! [X1] :( addition(domain(X1),antidomain(X1)) = one& multiplication(domain(X1),antidomain(X1)) = zero ))=> domain(antidomain(X0)) = antidomain(X0) ) ))),
% 150.87/19.51 inference(negated_conjecture,[status(cth)],[f18])).
% 150.87/19.51 fof(f20,plain,(
% 150.87/19.51 ![X0,X1]: (addition(X0,X1)=addition(X1,X0))),
% 150.87/19.51 inference(cnf_transformation,[status(thm)],[f1])).
% 150.87/19.51 fof(f21,plain,(
% 150.87/19.51 ![X0,X1,X2]: (addition(X0,addition(X1,X2))=addition(addition(X0,X1),X2))),
% 150.87/19.51 inference(cnf_transformation,[status(thm)],[f2])).
% 150.87/19.51 fof(f22,plain,(
% 150.87/19.51 ![X0]: (addition(X0,zero)=X0)),
% 150.87/19.51 inference(cnf_transformation,[status(thm)],[f3])).
% 150.87/19.51 fof(f23,plain,(
% 150.87/19.51 ![X0]: (addition(X0,X0)=X0)),
% 150.87/19.51 inference(cnf_transformation,[status(thm)],[f4])).
% 150.87/19.51 fof(f24,plain,(
% 150.87/19.51 ![X0,X1,X2]: (multiplication(X0,multiplication(X1,X2))=multiplication(multiplication(X0,X1),X2))),
% 150.87/19.51 inference(cnf_transformation,[status(thm)],[f5])).
% 150.87/19.51 fof(f25,plain,(
% 150.87/19.51 ![X0]: (multiplication(X0,one)=X0)),
% 150.87/19.51 inference(cnf_transformation,[status(thm)],[f6])).
% 150.87/19.51 fof(f26,plain,(
% 150.87/19.51 ![X0]: (multiplication(one,X0)=X0)),
% 150.87/19.51 inference(cnf_transformation,[status(thm)],[f7])).
% 150.87/19.51 fof(f27,plain,(
% 150.87/19.51 ![X0,X1,X2]: (multiplication(X0,addition(X1,X2))=addition(multiplication(X0,X1),multiplication(X0,X2)))),
% 150.87/19.51 inference(cnf_transformation,[status(thm)],[f8])).
% 150.87/19.51 fof(f28,plain,(
% 150.87/19.51 ![X0,X1,X2]: (multiplication(addition(X0,X1),X2)=addition(multiplication(X0,X2),multiplication(X1,X2)))),
% 150.87/19.51 inference(cnf_transformation,[status(thm)],[f9])).
% 150.87/19.51 fof(f35,plain,(
% 150.87/19.51 ![X0]: (addition(X0,multiplication(domain(X0),X0))=multiplication(domain(X0),X0))),
% 150.87/19.51 inference(cnf_transformation,[status(thm)],[f13])).
% 150.87/19.51 fof(f36,plain,(
% 150.87/19.51 ![X0,X1]: (domain(multiplication(X0,X1))=domain(multiplication(X0,domain(X1))))),
% 150.87/19.51 inference(cnf_transformation,[status(thm)],[f14])).
% 150.87/19.51 fof(f37,plain,(
% 150.87/19.51 ![X0]: (addition(domain(X0),one)=one)),
% 150.87/19.51 inference(cnf_transformation,[status(thm)],[f15])).
% 150.87/19.51 fof(f38,plain,(
% 150.87/19.51 domain(zero)=zero),
% 150.87/19.51 inference(cnf_transformation,[status(thm)],[f16])).
% 150.87/19.51 fof(f39,plain,(
% 150.87/19.51 ![X0,X1]: (domain(addition(X0,X1))=addition(domain(X0),domain(X1)))),
% 150.87/19.51 inference(cnf_transformation,[status(thm)],[f17])).
% 150.87/19.51 fof(f40,plain,(
% 150.87/19.51 (?[X0]: ((![X1]: (addition(domain(X1),antidomain(X1))=one&multiplication(domain(X1),antidomain(X1))=zero))&~domain(antidomain(X0))=antidomain(X0)))),
% 150.87/19.51 inference(pre_NNF_transformation,[status(thm)],[f19])).
% 150.87/19.51 fof(f41,plain,(
% 150.87/19.51 ((![X1]: addition(domain(X1),antidomain(X1))=one)&(![X1]: multiplication(domain(X1),antidomain(X1))=zero))&(?[X0]: ~domain(antidomain(X0))=antidomain(X0))),
% 150.87/19.51 inference(miniscoping,[status(thm)],[f40])).
% 150.87/19.51 fof(f42,plain,(
% 150.87/19.51 ((![X1]: addition(domain(X1),antidomain(X1))=one)&(![X1]: multiplication(domain(X1),antidomain(X1))=zero))&~domain(antidomain(sK0_skl))=antidomain(sK0_skl)),
% 150.87/19.51 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(X0,sK0_skl)],[f41])).
% 150.87/19.51 fof(f43,plain,(
% 150.87/19.51 ![X0]: (addition(domain(X0),antidomain(X0))=one)),
% 150.87/19.51 inference(cnf_transformation,[status(thm)],[f42])).
% 150.87/19.51 fof(f44,plain,(
% 150.87/19.51 ![X0]: (multiplication(domain(X0),antidomain(X0))=zero)),
% 150.87/19.51 inference(cnf_transformation,[status(thm)],[f42])).
% 150.87/19.51 fof(f45,plain,(
% 150.87/19.51 ~domain(antidomain(sK0_skl))=antidomain(sK0_skl)),
% 150.87/19.51 inference(cnf_transformation,[status(thm)],[f42])).
% 150.87/19.51 fof(f79,plain,(
% 150.87/19.51 ![X0,X1,X2]: (addition(X0,addition(X1,X2))=addition(X2,addition(X0,X1)))),
% 150.87/19.51 inference(paramodulation,[status(thm)],[f20,f21])).
% 150.87/19.51 fof(f88,plain,(
% 150.87/19.51 ![X0,X1]: (addition(X0,addition(X0,X1))=addition(X0,X1))),
% 150.87/19.51 inference(paramodulation,[status(thm)],[f23,f21])).
% 150.87/19.51 fof(f113,plain,(
% 150.87/19.51 ![X0]: (addition(one,domain(X0))=one)),
% 150.87/19.51 inference(paramodulation,[status(thm)],[f20,f37])).
% 150.87/19.51 fof(f130,plain,(
% 150.87/19.51 ![X0,X1]: (addition(X0,addition(X1,X0))=addition(X0,X1))),
% 150.87/19.51 inference(paramodulation,[status(thm)],[f20,f88])).
% 150.87/19.51 fof(f155,plain,(
% 150.87/19.51 ![X0]: (addition(antidomain(X0),one)=addition(antidomain(X0),domain(X0)))),
% 150.87/19.51 inference(paramodulation,[status(thm)],[f43,f130])).
% 150.87/19.51 fof(f196,plain,(
% 150.87/19.51 ![X0]: (domain(multiplication(one,X0))=domain(domain(X0)))),
% 150.87/19.51 inference(paramodulation,[status(thm)],[f26,f36])).
% 150.87/19.51 fof(f205,plain,(
% 150.87/19.51 ![X0]: (domain(X0)=domain(domain(X0)))),
% 150.87/19.51 inference(forward_demodulation,[status(thm)],[f26,f196])).
% 150.87/19.51 fof(f217,plain,(
% 150.87/19.51 ![X0,X1]: (domain(addition(X0,X1))=addition(domain(X1),domain(X0)))),
% 150.87/19.51 inference(paramodulation,[status(thm)],[f20,f39])).
% 150.87/19.51 fof(f220,plain,(
% 150.87/19.51 ![X0,X1]: (domain(addition(domain(X0),X1))=addition(domain(X0),domain(X1)))),
% 150.87/19.51 inference(paramodulation,[status(thm)],[f205,f39])).
% 150.87/19.51 fof(f224,plain,(
% 150.87/19.51 ![X0,X1,X2]: (domain(addition(X0,multiplication(X1,domain(X2))))=addition(domain(X0),domain(multiplication(X1,X2))))),
% 150.87/19.51 inference(paramodulation,[status(thm)],[f36,f39])).
% 150.87/19.51 fof(f232,plain,(
% 150.87/19.51 ![X0,X1]: (domain(addition(domain(X0),X1))=domain(addition(X0,X1)))),
% 150.87/19.51 inference(forward_demodulation,[status(thm)],[f39,f220])).
% 150.87/19.51 fof(f236,plain,(
% 150.87/19.51 ![X0,X1,X2]: (domain(addition(X0,multiplication(X1,domain(X2))))=domain(addition(X0,multiplication(X1,X2))))),
% 150.87/19.51 inference(forward_demodulation,[status(thm)],[f39,f224])).
% 150.87/19.51 fof(f264,plain,(
% 150.87/19.51 ![X0,X1]: (addition(X0,X1)=addition(X1,addition(X0,X1)))),
% 150.87/19.51 inference(paramodulation,[status(thm)],[f23,f79])).
% 150.87/19.51 fof(f287,plain,(
% 150.87/19.51 ![X0,X1]: (addition(X0,addition(X0,X1))=addition(X1,X0))),
% 150.87/19.51 inference(paramodulation,[status(thm)],[f23,f79])).
% 150.87/19.51 fof(f362,plain,(
% 150.87/19.51 ![X0]: (addition(domain(X0),antidomain(X0))=addition(antidomain(X0),one))),
% 150.87/19.51 inference(paramodulation,[status(thm)],[f43,f264])).
% 150.87/19.51 fof(f391,plain,(
% 150.87/19.51 ![X0]: (one=addition(antidomain(X0),domain(X0)))),
% 150.87/19.51 inference(backward_demodulation,[status(thm)],[f392,f155])).
% 150.87/19.51 fof(f392,plain,(
% 150.87/19.51 ![X0]: (one=addition(antidomain(X0),one))),
% 150.87/19.51 inference(forward_demodulation,[status(thm)],[f43,f362])).
% 150.87/19.51 fof(f451,plain,(
% 150.87/19.51 ![X0,X1]: (multiplication(X0,addition(one,X1))=addition(X0,multiplication(X0,X1)))),
% 150.87/19.51 inference(paramodulation,[status(thm)],[f25,f27])).
% 150.87/19.51 fof(f493,plain,(
% 150.87/19.51 ![X0,X1,X2]: (multiplication(addition(X0,X1),X2)=addition(multiplication(X1,X2),multiplication(X0,X2)))),
% 151.70/19.52 inference(paramodulation,[status(thm)],[f20,f28])).
% 151.70/19.52 fof(f498,plain,(
% 151.70/19.52 ![X0,X1]: (multiplication(addition(one,X0),X1)=addition(X1,multiplication(X0,X1)))),
% 151.70/19.52 inference(paramodulation,[status(thm)],[f26,f28])).
% 151.70/19.52 fof(f972,plain,(
% 151.70/19.52 ![X0,X1]: (domain(addition(X0,X1))=domain(addition(X1,X0)))),
% 151.70/19.52 inference(paramodulation,[status(thm)],[f39,f217])).
% 151.70/19.52 fof(f3833,plain,(
% 151.70/19.52 ![X0,X1]: (multiplication(X0,one)=addition(X0,multiplication(X0,domain(X1))))),
% 151.70/19.52 inference(paramodulation,[status(thm)],[f113,f451])).
% 151.70/19.52 fof(f3900,plain,(
% 151.70/19.52 ![X0,X1]: (X0=addition(X0,multiplication(X0,domain(X1))))),
% 151.70/19.52 inference(forward_demodulation,[status(thm)],[f25,f3833])).
% 151.70/19.52 fof(f4454,plain,(
% 151.70/19.52 ![X0,X1]: (domain(domain(X0))=domain(addition(X0,multiplication(domain(X0),domain(X1)))))),
% 151.70/19.52 inference(paramodulation,[status(thm)],[f3900,f232])).
% 151.70/19.52 fof(f4465,plain,(
% 151.70/19.52 ![X0,X1]: (addition(X0,X0)=addition(multiplication(X0,domain(X1)),X0))),
% 151.70/19.52 inference(paramodulation,[status(thm)],[f3900,f287])).
% 151.70/19.52 fof(f4509,plain,(
% 151.70/19.52 ![X0,X1]: (domain(X0)=domain(addition(X0,multiplication(domain(X0),domain(X1)))))),
% 151.70/19.52 inference(forward_demodulation,[status(thm)],[f205,f4454])).
% 151.70/19.52 fof(f4512,plain,(
% 151.70/19.52 ![X0,X1]: (domain(X0)=domain(addition(X0,multiplication(domain(X0),X1))))),
% 151.70/19.52 inference(forward_demodulation,[status(thm)],[f236,f4509])).
% 151.70/19.52 fof(f4516,plain,(
% 151.70/19.52 ![X0,X1]: (X0=addition(multiplication(X0,domain(X1)),X0))),
% 151.70/19.52 inference(forward_demodulation,[status(thm)],[f23,f4465])).
% 151.70/19.52 fof(f4569,plain,(
% 151.70/19.52 ![X0,X1]: (domain(addition(X0,multiplication(X0,domain(X1))))=domain(X0))),
% 151.70/19.52 inference(paramodulation,[status(thm)],[f4516,f972])).
% 151.70/19.52 fof(f4620,plain,(
% 151.70/19.52 ![X0,X1]: (domain(addition(X0,multiplication(X0,X1)))=domain(X0))),
% 151.70/19.52 inference(forward_demodulation,[status(thm)],[f236,f4569])).
% 151.70/19.52 fof(f5853,plain,(
% 151.70/19.52 ![X0,X1]: (multiplication(one,X0)=addition(X0,multiplication(domain(X1),X0)))),
% 151.70/19.52 inference(paramodulation,[status(thm)],[f113,f498])).
% 151.70/19.52 fof(f5878,plain,(
% 151.70/19.52 ![X0]: (multiplication(addition(one,domain(X0)),X0)=multiplication(domain(X0),X0))),
% 151.70/19.52 inference(paramodulation,[status(thm)],[f35,f498])).
% 151.70/19.52 fof(f5951,plain,(
% 151.70/19.52 ![X0,X1]: (X0=addition(X0,multiplication(domain(X1),X0)))),
% 151.70/19.52 inference(forward_demodulation,[status(thm)],[f26,f5853])).
% 151.70/19.52 fof(f5983,plain,(
% 151.70/19.52 ![X0]: (multiplication(one,X0)=multiplication(domain(X0),X0))),
% 151.70/19.52 inference(forward_demodulation,[status(thm)],[f113,f5878])).
% 151.70/19.52 fof(f6008,plain,(
% 151.70/19.52 ![X0]: (X0=multiplication(domain(X0),X0))),
% 151.70/19.52 inference(forward_demodulation,[status(thm)],[f26,f5983])).
% 151.70/19.52 fof(f6145,plain,(
% 151.70/19.52 ![X0,X1]: (multiplication(addition(domain(X0),X1),X0)=addition(X0,multiplication(X1,X0)))),
% 151.70/19.52 inference(paramodulation,[status(thm)],[f6008,f28])).
% 151.70/19.52 fof(f6147,plain,(
% 151.70/19.52 ![X0,X1]: (multiplication(domain(X0),addition(X0,X1))=addition(X0,multiplication(domain(X0),X1)))),
% 151.70/19.52 inference(paramodulation,[status(thm)],[f6008,f27])).
% 151.70/19.52 fof(f6351,plain,(
% 151.70/19.52 ![X0,X1]: (addition(X0,X0)=addition(multiplication(domain(X1),X0),X0))),
% 151.70/19.52 inference(paramodulation,[status(thm)],[f5951,f287])).
% 151.70/19.52 fof(f6409,plain,(
% 151.70/19.52 ![X0,X1]: (X0=addition(multiplication(domain(X1),X0),X0))),
% 151.70/19.52 inference(forward_demodulation,[status(thm)],[f23,f6351])).
% 151.70/19.52 fof(f18371,plain,(
% 151.70/19.52 ![X0,X1]: (multiplication(domain(addition(X0,X1)),X1)=addition(X1,multiplication(domain(X0),X1)))),
% 151.70/19.52 inference(paramodulation,[status(thm)],[f217,f6145])).
% 151.70/19.52 fof(f18502,plain,(
% 151.70/19.52 ![X0,X1]: (multiplication(domain(addition(X0,X1)),X1)=X1)),
% 151.70/19.52 inference(forward_demodulation,[status(thm)],[f5951,f18371])).
% 151.70/19.52 fof(f18880,plain,(
% 151.70/19.52 ![X0,X1]: (multiplication(domain(X0),multiplication(domain(X1),X0))=multiplication(domain(X1),X0))),
% 151.70/19.52 inference(paramodulation,[status(thm)],[f5951,f18502])).
% 151.70/19.52 fof(f48958,plain,(
% 151.70/19.52 ![X0,X1]: (multiplication(domain(X0),multiplication(domain(X1),domain(X0)))=multiplication(domain(X1),domain(X0)))),
% 151.70/19.52 inference(paramodulation,[status(thm)],[f205,f18880])).
% 151.70/19.52 fof(f81202,plain,(
% 151.70/19.52 ![X0,X1]: (multiplication(domain(multiplication(domain(X0),X1)),X1)=addition(multiplication(domain(X0),X1),multiplication(domain(multiplication(domain(X0),X1)),X1)))),
% 151.70/19.52 inference(paramodulation,[status(thm)],[f6409,f6147])).
% 151.70/19.52 fof(f81248,plain,(
% 151.70/19.52 ![X0]: (multiplication(domain(antidomain(X0)),one)=addition(antidomain(X0),multiplication(domain(antidomain(X0)),domain(X0))))),
% 151.70/19.52 inference(paramodulation,[status(thm)],[f391,f6147])).
% 151.70/19.52 fof(f81278,plain,(
% 151.70/19.52 ![X0,X1]: (multiplication(domain(domain(X0)),domain(addition(X1,X0)))=addition(domain(X0),multiplication(domain(domain(X0)),domain(X1))))),
% 151.70/19.52 inference(paramodulation,[status(thm)],[f217,f6147])).
% 151.70/19.52 fof(f81514,plain,(
% 151.70/19.52 ![X0,X1]: (multiplication(domain(multiplication(domain(X0),X1)),X1)=multiplication(addition(domain(multiplication(domain(X0),X1)),domain(X0)),X1))),
% 151.70/19.52 inference(forward_demodulation,[status(thm)],[f493,f81202])).
% 151.70/19.52 fof(f81515,plain,(
% 151.70/19.52 ![X0,X1]: (multiplication(domain(multiplication(domain(X0),X1)),X1)=multiplication(domain(addition(X0,multiplication(domain(X0),X1))),X1))),
% 151.70/19.52 inference(forward_demodulation,[status(thm)],[f217,f81514])).
% 151.70/19.52 fof(f81516,plain,(
% 151.70/19.52 ![X0,X1]: (multiplication(domain(multiplication(domain(X0),X1)),X1)=multiplication(domain(X0),X1))),
% 151.70/19.52 inference(forward_demodulation,[status(thm)],[f4512,f81515])).
% 151.70/19.52 fof(f81548,plain,(
% 151.70/19.52 ![X0]: (domain(antidomain(X0))=addition(antidomain(X0),multiplication(domain(antidomain(X0)),domain(X0))))),
% 151.70/19.52 inference(forward_demodulation,[status(thm)],[f25,f81248])).
% 151.70/19.52 fof(f81640,plain,(
% 151.70/19.52 ![X0,X1]: (multiplication(domain(X0),domain(addition(X1,X0)))=addition(domain(X0),multiplication(domain(domain(X0)),domain(X1))))),
% 151.70/19.52 inference(forward_demodulation,[status(thm)],[f205,f81278])).
% 151.70/19.52 fof(f81641,plain,(
% 151.70/19.52 ![X0,X1]: (multiplication(domain(X0),domain(addition(X1,X0)))=addition(domain(X0),multiplication(domain(X0),domain(X1))))),
% 151.70/19.52 inference(forward_demodulation,[status(thm)],[f205,f81640])).
% 151.70/19.52 fof(f81642,plain,(
% 151.70/19.52 ![X0,X1]: (multiplication(domain(X0),domain(addition(X1,X0)))=domain(X0))),
% 151.70/19.52 inference(forward_demodulation,[status(thm)],[f3900,f81641])).
% 151.70/19.52 fof(f81936,plain,(
% 151.70/19.52 ![X0,X1]: (multiplication(domain(multiplication(X0,X1)),domain(X0))=domain(multiplication(X0,X1)))),
% 151.70/19.52 inference(paramodulation,[status(thm)],[f4620,f81642])).
% 151.70/19.52 fof(f82037,plain,(
% 151.70/19.52 ![X0,X1]: (multiplication(domain(multiplication(domain(X0),X1)),domain(X1))=domain(multiplication(domain(X0),X1)))),
% 151.70/19.52 inference(paramodulation,[status(thm)],[f5951,f81642])).
% 151.70/19.52 fof(f82939,plain,(
% 151.70/19.52 ![X0,X1]: (multiplication(domain(multiplication(domain(X0),X1)),domain(X1))=multiplication(domain(X0),domain(X1)))),
% 151.70/19.52 inference(paramodulation,[status(thm)],[f36,f81516])).
% 151.70/19.52 fof(f83136,plain,(
% 151.70/19.52 ![X0,X1]: (multiplication(domain(X0),domain(X1))=domain(multiplication(domain(X0),X1)))),
% 151.70/19.52 inference(backward_demodulation,[status(thm)],[f82939,f82037])).
% 151.70/19.52 fof(f84178,plain,(
% 151.70/19.52 ![X0,X1]: (multiplication(multiplication(domain(X0),domain(X1)),domain(domain(X0)))=domain(multiplication(domain(X0),X1)))),
% 151.70/19.52 inference(paramodulation,[status(thm)],[f83136,f81936])).
% 151.70/19.52 fof(f84407,plain,(
% 151.70/19.52 ![X0,X1]: (multiplication(domain(X0),multiplication(domain(X1),domain(domain(X0))))=domain(multiplication(domain(X0),X1)))),
% 151.70/19.52 inference(forward_demodulation,[status(thm)],[f24,f84178])).
% 151.70/19.52 fof(f84408,plain,(
% 151.70/19.52 ![X0,X1]: (multiplication(domain(X0),multiplication(domain(X1),domain(X0)))=domain(multiplication(domain(X0),X1)))),
% 151.70/19.52 inference(forward_demodulation,[status(thm)],[f205,f84407])).
% 151.70/19.52 fof(f84409,plain,(
% 151.70/19.52 ![X0,X1]: (multiplication(domain(X0),domain(X1))=domain(multiplication(domain(X1),X0)))),
% 151.70/19.52 inference(forward_demodulation,[status(thm)],[f48958,f84408])).
% 151.70/19.52 fof(f84854,plain,(
% 151.70/19.52 ![X0]: (multiplication(domain(antidomain(X0)),domain(X0))=domain(zero))),
% 151.70/19.52 inference(paramodulation,[status(thm)],[f44,f84409])).
% 151.70/19.52 fof(f85077,plain,(
% 151.70/19.52 ![X0]: (domain(antidomain(X0))=addition(antidomain(X0),zero))),
% 151.70/19.52 inference(backward_demodulation,[status(thm)],[f85078,f81548])).
% 151.70/19.52 fof(f85078,plain,(
% 151.70/19.52 ![X0]: (multiplication(domain(antidomain(X0)),domain(X0))=zero)),
% 151.70/19.52 inference(forward_demodulation,[status(thm)],[f38,f84854])).
% 151.70/19.52 fof(f85289,plain,(
% 151.70/19.52 ~antidomain(sK0_skl)=antidomain(sK0_skl)),
% 151.70/19.52 inference(backward_demodulation,[status(thm)],[f85374,f45])).
% 151.70/19.52 fof(f85374,plain,(
% 151.70/19.52 ![X0]: (domain(antidomain(X0))=antidomain(X0))),
% 114.59/19.66 inference(forward_demodulation,[status(thm)],[f22,f85077])).
% 114.59/19.66 fof(f85375,plain,(
% 114.59/19.66 $false),
% 114.59/19.66 inference(trivial_equality_resolution,[status(thm)],[f85289])).
% 114.59/19.66 % SZS output end CNFRefutation for theBenchmark.p
% 114.59/19.69 % Elapsed time: 19.315655 seconds
% 114.59/19.69 % CPU time: 152.843953 seconds
% 114.59/19.69 % Total memory used: 993.594 MB
% 114.59/19.69 % Net memory used: 962.041 MB
%------------------------------------------------------------------------------