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Drodi-SAT---4.1.1.THM-Ass.s

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%------------------------------------------------------------------------------
% File     : Drodi-SAT---4.1.1
% Problem  : KLE039+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 : n016.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 12:58:14 PM UTC 2026

% Result   : Theorem 44.63s 6.18s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : KLE039+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06  % Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.44  % Computer : n016.cluster.edu
% 0.19/0.44  % Model    : x86_64 x86_64
% 0.19/0.44  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.44  % Memory   : 8046.5625MB
% 0.19/0.44  % OS       : Linux 6.8.0-71-generic
% 0.19/0.45  % CPULimit : 300
% 0.19/0.45  % WCLimit  : 300
% 0.19/0.45  % DateTime : Sun Sep 20 22:45:08 UTC 2026
% 0.19/0.45  % CPUTime  : 
% 0.19/0.46  % Drodi V4.1.1
% 44.63/6.18  % Refutation found
% 44.63/6.18  % SZS status Theorem for theBenchmark: Theorem is valid
% 44.63/6.18  % SZS output start CNFRefutation for theBenchmark
% 44.63/6.18  fof(f1,axiom,(
% 44.63/6.18    (! [A,B] : addition(A,B) = addition(B,A) )),
% 44.63/6.18    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 44.63/6.18  fof(f2,axiom,(
% 44.63/6.18    (! [C,B,A] : addition(A,addition(B,C)) = addition(addition(A,B),C) )),
% 44.63/6.18    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 44.63/6.18  fof(f4,axiom,(
% 44.63/6.18    (! [A] : addition(A,A) = A )),
% 44.63/6.18    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 44.63/6.18  fof(f6,axiom,(
% 44.63/6.18    (! [A] : multiplication(A,one) = A )),
% 44.63/6.18    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 44.63/6.18  fof(f7,axiom,(
% 44.63/6.18    (! [A] : multiplication(one,A) = A )),
% 44.63/6.18    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 44.63/6.18  fof(f8,axiom,(
% 44.63/6.18    (! [A,B,C] : multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)) )),
% 44.63/6.18    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 44.63/6.18  fof(f9,axiom,(
% 44.63/6.18    (! [A,B,C] : multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)) )),
% 44.63/6.18    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 44.63/6.18  fof(f12,axiom,(
% 44.63/6.18    (! [A,B] :( leq(A,B)<=> addition(A,B) = B ) )),
% 44.63/6.18    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 44.63/6.18  fof(f13,axiom,(
% 44.63/6.18    (! [A] : leq(addition(one,multiplication(A,star(A))),star(A)) )),
% 44.63/6.18    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 44.63/6.18  fof(f14,axiom,(
% 44.63/6.18    (! [A] : leq(addition(one,multiplication(star(A),A)),star(A)) )),
% 44.63/6.18    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 44.63/6.18  fof(f15,axiom,(
% 44.63/6.18    (! [A,B,C] :( leq(addition(multiplication(A,B),C),B)=> leq(multiplication(star(A),C),B) ) )),
% 44.63/6.18    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 44.63/6.18  fof(f17,conjecture,(
% 44.63/6.18    (! [X0] :( leq(star(star(X0)),star(X0))& leq(star(X0),star(star(X0))) ) )),
% 44.63/6.18    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 44.63/6.18  fof(f18,negated_conjecture,(
% 44.63/6.18    ~((! [X0] :( leq(star(star(X0)),star(X0))& leq(star(X0),star(star(X0))) ) ))),
% 44.63/6.18    inference(negated_conjecture,[status(cth)],[f17])).
% 44.63/6.18  fof(f19,plain,(
% 44.63/6.18    ![X0,X1]: (addition(X0,X1)=addition(X1,X0))),
% 44.63/6.18    inference(cnf_transformation,[status(thm)],[f1])).
% 44.63/6.18  fof(f20,plain,(
% 44.63/6.18    ![X0,X1,X2]: (addition(X0,addition(X1,X2))=addition(addition(X0,X1),X2))),
% 44.63/6.18    inference(cnf_transformation,[status(thm)],[f2])).
% 44.63/6.18  fof(f22,plain,(
% 44.63/6.18    ![X0]: (addition(X0,X0)=X0)),
% 44.63/6.18    inference(cnf_transformation,[status(thm)],[f4])).
% 44.63/6.18  fof(f24,plain,(
% 44.63/6.18    ![X0]: (multiplication(X0,one)=X0)),
% 44.63/6.18    inference(cnf_transformation,[status(thm)],[f6])).
% 44.63/6.18  fof(f25,plain,(
% 44.63/6.18    ![X0]: (multiplication(one,X0)=X0)),
% 44.63/6.18    inference(cnf_transformation,[status(thm)],[f7])).
% 44.63/6.18  fof(f26,plain,(
% 44.63/6.18    ![X0,X1,X2]: (multiplication(X0,addition(X1,X2))=addition(multiplication(X0,X1),multiplication(X0,X2)))),
% 44.63/6.18    inference(cnf_transformation,[status(thm)],[f8])).
% 44.63/6.18  fof(f27,plain,(
% 44.63/6.18    ![X0,X1,X2]: (multiplication(addition(X0,X1),X2)=addition(multiplication(X0,X2),multiplication(X1,X2)))),
% 44.63/6.18    inference(cnf_transformation,[status(thm)],[f9])).
% 44.63/6.18  fof(f30,plain,(
% 44.63/6.18    ![A,B]: ((~leq(A,B)|addition(A,B)=B)&(leq(A,B)|~addition(A,B)=B))),
% 44.63/6.18    inference(NNF_transformation,[status(thm)],[f12])).
% 44.63/6.18  fof(f31,plain,(
% 44.63/6.18    (![A,B]: (~leq(A,B)|addition(A,B)=B))&(![A,B]: (leq(A,B)|~addition(A,B)=B))),
% 44.63/6.18    inference(miniscoping,[status(thm)],[f30])).
% 44.63/6.18  fof(f32,plain,(
% 44.63/6.18    ![X0,X1]: (~leq(X0,X1)|addition(X0,X1)=X1)),
% 44.63/6.18    inference(cnf_transformation,[status(thm)],[f31])).
% 44.63/6.18  fof(f33,plain,(
% 44.63/6.18    ![X0,X1]: (leq(X0,X1)|~addition(X0,X1)=X1)),
% 44.63/6.18    inference(cnf_transformation,[status(thm)],[f31])).
% 44.63/6.18  fof(f34,plain,(
% 44.63/6.18    ![X0]: (leq(addition(one,multiplication(X0,star(X0))),star(X0)))),
% 44.63/6.18    inference(cnf_transformation,[status(thm)],[f13])).
% 44.63/6.18  fof(f35,plain,(
% 44.63/6.18    ![X0]: (leq(addition(one,multiplication(star(X0),X0)),star(X0)))),
% 44.63/6.18    inference(cnf_transformation,[status(thm)],[f14])).
% 44.63/6.18  fof(f36,plain,(
% 44.63/6.18    ![A,B,C]: (~leq(addition(multiplication(A,B),C),B)|leq(multiplication(star(A),C),B))),
% 44.63/6.18    inference(pre_NNF_transformation,[status(thm)],[f15])).
% 44.63/6.18  fof(f37,plain,(
% 44.63/6.18    ![X0,X1,X2]: (~leq(addition(multiplication(X0,X1),X2),X1)|leq(multiplication(star(X0),X2),X1))),
% 44.63/6.18    inference(cnf_transformation,[status(thm)],[f36])).
% 44.63/6.18  fof(f40,plain,(
% 44.63/6.18    (?[X0]: (~leq(star(star(X0)),star(X0))|~leq(star(X0),star(star(X0)))))),
% 44.63/6.18    inference(pre_NNF_transformation,[status(thm)],[f18])).
% 44.63/6.18  fof(f41,plain,(
% 44.63/6.18    (?[X0]: ~leq(star(star(X0)),star(X0)))|(?[X0]: ~leq(star(X0),star(star(X0))))),
% 44.63/6.18    inference(miniscoping,[status(thm)],[f40])).
% 44.63/6.18  fof(f42,plain,(
% 44.63/6.18    ~leq(star(star(sK0_skl)),star(sK0_skl))|~leq(star(sK1_skl),star(star(sK1_skl)))),
% 44.63/6.18    inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(X0,sK0_skl),skolemize(X0,sK1_skl)],[f41])).
% 44.63/6.18  fof(f43,plain,(
% 44.63/6.18    ~leq(star(star(sK0_skl)),star(sK0_skl))|~leq(star(sK1_skl),star(star(sK1_skl)))),
% 44.63/6.18    inference(cnf_transformation,[status(thm)],[f42])).
% 44.63/6.18  fof(f44,definition,(
% 44.63/6.18    sQ0_spl <=> (leq(star(star(sK0_skl)),star(sK0_skl)))),
% 44.63/6.18    introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 44.63/6.18  fof(f46,plain,(
% 44.63/6.18    ~leq(star(star(sK0_skl)),star(sK0_skl))|sQ0_spl),
% 44.63/6.18    inference(component_clause,[status(thm)],[f44])).
% 44.63/6.18  fof(f47,definition,(
% 44.63/6.18    sQ1_spl <=> (leq(star(sK1_skl),star(star(sK1_skl))))),
% 44.63/6.18    introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 44.63/6.18  fof(f49,plain,(
% 44.63/6.18    ~leq(star(sK1_skl),star(star(sK1_skl)))|sQ1_spl),
% 44.63/6.18    inference(component_clause,[status(thm)],[f47])).
% 44.63/6.18  fof(f50,plain,(
% 44.63/6.18    ~sQ0_spl|~sQ1_spl),
% 44.63/6.18    inference(split_clause,[status(thm)],[f43,f44,f47])).
% 44.63/6.18  fof(f78,plain,(
% 44.63/6.18    ![X0]: (leq(X0,X0))),
% 44.63/6.18    inference(resolution,[status(thm)],[f33,f22])).
% 44.63/6.18  fof(f82,plain,(
% 44.63/6.18    ![X0,X1]: (leq(X0,X1)|~addition(X1,X0)=X1)),
% 44.63/6.18    inference(paramodulation,[status(thm)],[f19,f33])).
% 44.63/6.18  fof(f90,plain,(
% 44.63/6.18    ![X0,X1,X2]: (addition(X0,addition(X1,X2))=addition(X2,addition(X0,X1)))),
% 44.63/6.18    inference(paramodulation,[status(thm)],[f19,f20])).
% 44.63/6.18  fof(f96,plain,(
% 44.63/6.18    ![X0,X1,X2]: (addition(X0,addition(X1,X2))=addition(addition(X1,X0),X2))),
% 44.63/6.18    inference(paramodulation,[status(thm)],[f19,f20])).
% 44.63/6.18  fof(f98,plain,(
% 44.63/6.18    ![X0,X1]: (addition(X0,addition(X0,X1))=addition(X0,X1))),
% 44.63/6.18    inference(paramodulation,[status(thm)],[f22,f20])).
% 44.63/6.18  fof(f118,plain,(
% 44.63/6.18    ![X0,X1]: (leq(X0,addition(X0,X1)))),
% 44.63/6.18    inference(resolution,[status(thm)],[f98,f33])).
% 44.63/6.18  fof(f149,plain,(
% 44.63/6.18    ![X0,X1]: (leq(X0,addition(X1,X0)))),
% 44.63/6.18    inference(paramodulation,[status(thm)],[f19,f118])).
% 44.63/6.18  fof(f152,plain,(
% 44.63/6.18    ![X0,X1]: (addition(X0,addition(X1,X0))=addition(X1,X0))),
% 44.63/6.18    inference(resolution,[status(thm)],[f149,f32])).
% 44.63/6.18  fof(f227,plain,(
% 44.63/6.18    ![X0,X1]: (addition(X0,addition(X0,X1))=addition(X1,X0))),
% 44.63/6.18    inference(paramodulation,[status(thm)],[f19,f152])).
% 44.63/6.18  fof(f288,plain,(
% 44.63/6.18    ![X0,X1,X2]: (addition(X0,addition(addition(X0,X1),X2))=addition(addition(X1,X0),X2))),
% 44.63/6.18    inference(paramodulation,[status(thm)],[f227,f20])).
% 44.63/6.18  fof(f320,plain,(
% 44.63/6.18    ![X0,X1,X2]: (addition(X0,addition(X0,addition(X1,X2)))=addition(addition(X1,X0),X2))),
% 44.63/6.18    inference(forward_demodulation,[status(thm)],[f20,f288])).
% 44.63/6.18  fof(f321,plain,(
% 44.63/6.18    ![X0,X1,X2]: (addition(addition(X0,X1),X2)=addition(addition(X0,X2),X1))),
% 44.63/6.18    inference(forward_demodulation,[status(thm)],[f227,f320])).
% 44.63/6.18  fof(f322,plain,(
% 44.63/6.18    ![X0,X1,X2]: (addition(X0,addition(X1,X2))=addition(addition(X0,X2),X1))),
% 44.63/6.18    inference(forward_demodulation,[status(thm)],[f20,f321])).
% 44.63/6.18  fof(f583,plain,(
% 44.63/6.18    ![X0,X1]: (multiplication(X0,addition(X1,one))=addition(multiplication(X0,X1),X0))),
% 44.63/6.18    inference(paramodulation,[status(thm)],[f24,f26])).
% 44.63/6.18  fof(f1678,plain,(
% 44.63/6.18    ![X0,X1]: (multiplication(addition(X0,one),X1)=addition(multiplication(X0,X1),X1))),
% 44.63/6.18    inference(paramodulation,[status(thm)],[f25,f27])).
% 44.63/6.18  fof(f2141,plain,(
% 44.63/6.18    ![X0]: (addition(addition(one,multiplication(X0,star(X0))),star(X0))=star(X0))),
% 44.63/6.18    inference(resolution,[status(thm)],[f34,f32])).
% 44.63/6.18  fof(f2145,plain,(
% 44.63/6.18    ![X0]: (addition(one,addition(star(X0),multiplication(X0,star(X0))))=star(X0))),
% 44.63/6.18    inference(forward_demodulation,[status(thm)],[f322,f2141])).
% 44.63/6.18  fof(f2147,plain,(
% 44.63/6.18    ![X0]: (addition(addition(one,multiplication(star(X0),X0)),star(X0))=star(X0))),
% 44.63/6.18    inference(resolution,[status(thm)],[f35,f32])).
% 44.63/6.18  fof(f2150,plain,(
% 44.63/6.18    ![X0]: (addition(one,addition(star(X0),multiplication(star(X0),X0)))=star(X0))),
% 44.63/6.18    inference(forward_demodulation,[status(thm)],[f322,f2147])).
% 44.63/6.18  fof(f2161,plain,(
% 44.63/6.18    ![X0,X1]: (multiplication(addition(one,X0),X1)=addition(multiplication(X0,X1),X1))),
% 44.63/6.18    inference(paramodulation,[status(thm)],[f19,f1678])).
% 44.63/6.18  fof(f2387,plain,(
% 44.63/6.18    ![X0,X1]: (~leq(multiplication(X0,X1),X1)|leq(multiplication(star(X0),multiplication(X0,X1)),X1))),
% 44.63/6.18    inference(paramodulation,[status(thm)],[f22,f37])).
% 44.63/6.18  fof(f10356,plain,(
% 44.63/6.18    ![X0]: (addition(addition(star(X0),multiplication(X0,star(X0))),star(X0))=addition(one,addition(star(X0),multiplication(X0,star(X0)))))),
% 44.63/6.18    inference(paramodulation,[status(thm)],[f2145,f152])).
% 44.63/6.18  fof(f10360,plain,(
% 44.63/6.18    ![X0]: (addition(one,star(X0))=addition(one,addition(star(X0),multiplication(X0,star(X0)))))),
% 44.63/6.18    inference(paramodulation,[status(thm)],[f2145,f98])).
% 44.63/6.18  fof(f10454,plain,(
% 44.63/6.18    ![X0]: (addition(star(X0),addition(star(X0),multiplication(X0,star(X0))))=addition(one,addition(star(X0),multiplication(X0,star(X0)))))),
% 44.63/6.18    inference(forward_demodulation,[status(thm)],[f322,f10356])).
% 44.63/6.18  fof(f10455,plain,(
% 44.63/6.18    ![X0]: (addition(multiplication(X0,star(X0)),star(X0))=addition(one,addition(star(X0),multiplication(X0,star(X0)))))),
% 44.63/6.18    inference(forward_demodulation,[status(thm)],[f227,f10454])).
% 44.63/6.18  fof(f10457,plain,(
% 44.63/6.18    ![X0]: (addition(multiplication(X0,star(X0)),star(X0))=star(X0))),
% 44.63/6.18    inference(forward_demodulation,[status(thm)],[f2145,f10455])).
% 44.63/6.18  fof(f10467,plain,(
% 44.63/6.18    ![X0]: (addition(one,star(X0))=star(X0))),
% 44.63/6.18    inference(forward_demodulation,[status(thm)],[f2145,f10360])).
% 44.63/6.18  fof(f10501,plain,(
% 44.63/6.18    ![X0,X1]: (multiplication(star(X0),X1)=addition(multiplication(star(X0),X1),X1))),
% 44.63/6.18    inference(paramodulation,[status(thm)],[f10467,f2161])).
% 44.63/6.18  fof(f10536,plain,(
% 44.63/6.18    ![X0,X1]: (addition(star(X0),addition(one,X1))=addition(star(X0),X1))),
% 44.63/6.18    inference(paramodulation,[status(thm)],[f10467,f96])).
% 44.63/6.18  fof(f10537,plain,(
% 44.63/6.18    ![X0,X1]: (addition(one,addition(star(X0),X1))=addition(X1,star(X0)))),
% 44.63/6.18    inference(paramodulation,[status(thm)],[f10467,f90])).
% 44.63/6.18  fof(f10539,plain,(
% 44.63/6.18    ![X0]: (addition(one,star(X0))=addition(star(X0),one))),
% 44.63/6.18    inference(paramodulation,[status(thm)],[f10467,f227])).
% 44.63/6.18  fof(f10592,plain,(
% 44.63/6.18    ![X0]: (addition(multiplication(star(X0),X0),star(X0))=star(X0))),
% 44.63/6.18    inference(backward_demodulation,[status(thm)],[f10537,f2150])).
% 44.63/6.18  fof(f10602,plain,(
% 44.63/6.18    ![X0]: (star(X0)=addition(star(X0),one))),
% 44.63/6.18    inference(forward_demodulation,[status(thm)],[f10467,f10539])).
% 44.63/6.18  fof(f10636,plain,(
% 44.63/6.18    ![X0]: (multiplication(addition(one,X0),star(X0))=star(X0))),
% 44.63/6.18    inference(paramodulation,[status(thm)],[f2161,f10457])).
% 44.63/6.18  fof(f10660,plain,(
% 44.63/6.18    ![X0]: (~leq(star(X0),star(X0))|leq(multiplication(star(X0),star(X0)),star(X0)))),
% 44.63/6.18    inference(paramodulation,[status(thm)],[f10457,f37])).
% 44.63/6.18  fof(f10744,plain,(
% 44.63/6.18    ![X0]: (leq(multiplication(star(X0),star(X0)),star(X0)))),
% 44.63/6.18    inference(forward_subsumption_resolution,[status(thm)],[f10660,f78])).
% 44.63/6.18  fof(f10894,plain,(
% 44.63/6.18    ![X0]: (multiplication(addition(one,X0),addition(star(X0),one))=addition(star(X0),addition(one,X0)))),
% 44.63/6.18    inference(paramodulation,[status(thm)],[f10636,f583])).
% 44.63/6.18  fof(f11054,plain,(
% 44.63/6.18    ![X0]: (multiplication(addition(one,X0),star(X0))=addition(star(X0),addition(one,X0)))),
% 44.63/6.18    inference(forward_demodulation,[status(thm)],[f10602,f10894])).
% 44.63/6.18  fof(f11055,plain,(
% 44.63/6.18    ![X0]: (star(X0)=addition(star(X0),addition(one,X0)))),
% 44.63/6.18    inference(forward_demodulation,[status(thm)],[f10636,f11054])).
% 44.63/6.18  fof(f11056,plain,(
% 44.63/6.18    ![X0]: (star(X0)=addition(star(X0),X0))),
% 44.63/6.18    inference(forward_demodulation,[status(thm)],[f10536,f11055])).
% 44.63/6.18  fof(f11090,plain,(
% 44.63/6.18    ![X0]: (leq(X0,star(X0)))),
% 44.63/6.18    inference(resolution,[status(thm)],[f11056,f82])).
% 44.63/6.18  fof(f11689,plain,(
% 44.63/6.18    ![X0]: (addition(multiplication(star(X0),star(X0)),star(X0))=star(X0))),
% 44.63/6.18    inference(resolution,[status(thm)],[f10744,f32])).
% 44.63/6.18  fof(f11691,plain,(
% 44.63/6.18    ![X0]: (multiplication(star(X0),star(X0))=star(X0))),
% 44.63/6.18    inference(forward_demodulation,[status(thm)],[f10501,f11689])).
% 44.63/6.18  fof(f12618,plain,(
% 44.63/6.18    ![X0,X1]: (multiplication(X0,multiplication(star(X1),one))=addition(multiplication(X0,multiplication(star(X1),one)),X0))),
% 44.63/6.18    inference(paramodulation,[status(thm)],[f10501,f583])).
% 44.63/6.18  fof(f12805,plain,(
% 44.63/6.18    ![X0,X1]: (multiplication(X0,star(X1))=addition(multiplication(X0,multiplication(star(X1),one)),X0))),
% 44.63/6.18    inference(forward_demodulation,[status(thm)],[f24,f12618])).
% 44.63/6.23  fof(f12807,plain,(
% 44.63/6.23    ![X0,X1]: (multiplication(X0,star(X1))=addition(multiplication(X0,star(X1)),X0))),
% 44.63/6.23    inference(forward_demodulation,[status(thm)],[f24,f12805])).
% 44.63/6.23  fof(f12935,plain,(
% 44.63/6.23    ![X0]: (~leq(star(X0),star(X0))|leq(multiplication(star(star(X0)),multiplication(star(X0),star(X0))),star(X0)))),
% 44.63/6.23    inference(paramodulation,[status(thm)],[f11691,f2387])).
% 44.63/6.23  fof(f12954,plain,(
% 44.63/6.23    ![X0]: (~leq(star(X0),star(X0))|leq(multiplication(star(star(X0)),star(X0)),star(X0)))),
% 44.63/6.23    inference(forward_demodulation,[status(thm)],[f11691,f12935])).
% 44.63/6.23  fof(f12955,plain,(
% 44.63/6.23    ![X0]: (leq(multiplication(star(star(X0)),star(X0)),star(X0)))),
% 44.63/6.23    inference(forward_subsumption_resolution,[status(thm)],[f12954,f78])).
% 44.63/6.23  fof(f14258,plain,(
% 44.63/6.23    ![X0]: (multiplication(star(star(X0)),star(X0))=star(star(X0)))),
% 44.63/6.23    inference(paramodulation,[status(thm)],[f10592,f12807])).
% 44.63/6.23  fof(f14422,plain,(
% 44.63/6.23    ![X0]: (leq(star(star(X0)),star(X0)))),
% 44.63/6.23    inference(backward_demodulation,[status(thm)],[f14258,f12955])).
% 44.63/6.23  fof(f14755,plain,(
% 44.63/6.23    $false|sQ0_spl),
% 44.63/6.23    inference(backward_subsumption_resolution,[status(thm)],[f46,f14422])).
% 44.63/6.23  fof(f14758,plain,(
% 44.63/6.23    sQ0_spl),
% 44.63/6.23    inference(contradiction_clause,[status(thm)],[f14755])).
% 44.63/6.23  fof(f14759,plain,(
% 44.63/6.23    $false|sQ1_spl),
% 44.63/6.23    inference(forward_subsumption_resolution,[status(thm)],[f49,f11090])).
% 44.63/6.23  fof(f14760,plain,(
% 44.63/6.23    sQ1_spl),
% 44.63/6.23    inference(contradiction_clause,[status(thm)],[f14759])).
% 44.63/6.23  fof(f14761,plain,(
% 44.63/6.23    $false),
% 44.63/6.23    inference(sat_refutation,[status(thm)],[f50,f14758,f14760])).
% 44.63/6.23  % SZS output end CNFRefutation for theBenchmark.p
% 44.63/6.24  % Elapsed time: 5.775047 seconds
% 44.63/6.24  % CPU time: 45.352979 seconds
% 44.63/6.24  % Total memory used: 248.726 MB
% 44.63/6.24  % Net memory used: 243.103 MB
%------------------------------------------------------------------------------