↑ Up

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

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Drodi-SAT---4.1.1
% Problem  : COM013+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 : 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 12:10:42 PM UTC 2026

% Result   : Theorem 0.09s 0.41s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : COM013+4 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03  % Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36  % Computer : n016.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 : Mon Sep 21 14:18:54 UTC 2026
% 0.09/0.36  % CPUTime  : 
% 0.09/0.38  % Drodi V4.1.1
% 0.09/0.41  % Refutation found
% 0.09/0.41  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.41  % SZS output start CNFRefutation for theBenchmark
% 0.09/0.41  fof(f3,axiom,(
% 0.09/0.41    (! [W0,W1] :( ( aElement0(W0)& aRewritingSystem0(W1) )=> (! [W2] :( aReductOfIn0(W2,W0,W1)=> aElement0(W2) ) )) )),
% 0.09/0.41    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.41  fof(f13,definition,(
% 0.09/0.41    (! [W0,W1] :( ( aElement0(W0)& aRewritingSystem0(W1) )=> (! [W2] :( aNormalFormOfIn0(W2,W0,W1)<=> ( aElement0(W2)& sdtmndtasgtdt0(W0,W1,W2)& ~ (? [W3] : aReductOfIn0(W3,W2,W1) )) ) )) )),
% 0.09/0.41    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.41  fof(f14,hypothesis,(
% 0.09/0.41    ( aRewritingSystem0(xR)& (! [W0,W1] :( ( aElement0(W0)& aElement0(W1) )=> ( ( aReductOfIn0(W1,W0,xR)| (? [W2] :( aElement0(W2)& aReductOfIn0(W2,W0,xR)& sdtmndtplgtdt0(W2,xR,W1) ))| sdtmndtplgtdt0(W0,xR,W1) )=> iLess0(W1,W0) ) ))& isTerminating0(xR) ) ),
% 0.09/0.41    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.41  fof(f15,conjecture,(
% 0.09/0.41    (! [W0] :( aElement0(W0)=> ( (! [W1] :( aElement0(W1)=> ( iLess0(W1,W0)=> (? [W2] :( aElement0(W2)& ( W1 = W2| ( ( aReductOfIn0(W2,W1,xR)| (? [W3] :( aElement0(W3)& aReductOfIn0(W3,W1,xR)& sdtmndtplgtdt0(W3,xR,W2) ) ))& sdtmndtplgtdt0(W1,xR,W2) ) )& sdtmndtasgtdt0(W1,xR,W2)& ~ (? [W3] : aReductOfIn0(W3,W2,xR))& aNormalFormOfIn0(W2,W1,xR) ) )) ))=> (? [W1] :( ( aElement0(W1)& ( W0 = W1| aReductOfIn0(W1,W0,xR)| (? [W2] :( aElement0(W2)& aReductOfIn0(W2,W0,xR)& sdtmndtplgtdt0(W2,xR,W1) ))| sdtmndtplgtdt0(W0,xR,W1)| sdtmndtasgtdt0(W0,xR,W1) )& ~ (? [W2] : aReductOfIn0(W2,W1,xR) ))| aNormalFormOfIn0(W1,W0,xR) ) )) ) )),
% 0.09/0.41    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.41  fof(f16,negated_conjecture,(
% 0.09/0.41    ~((! [W0] :( aElement0(W0)=> ( (! [W1] :( aElement0(W1)=> ( iLess0(W1,W0)=> (? [W2] :( aElement0(W2)& ( W1 = W2| ( ( aReductOfIn0(W2,W1,xR)| (? [W3] :( aElement0(W3)& aReductOfIn0(W3,W1,xR)& sdtmndtplgtdt0(W3,xR,W2) ) ))& sdtmndtplgtdt0(W1,xR,W2) ) )& sdtmndtasgtdt0(W1,xR,W2)& ~ (? [W3] : aReductOfIn0(W3,W2,xR))& aNormalFormOfIn0(W2,W1,xR) ) )) ))=> (? [W1] :( ( aElement0(W1)& ( W0 = W1| aReductOfIn0(W1,W0,xR)| (? [W2] :( aElement0(W2)& aReductOfIn0(W2,W0,xR)& sdtmndtplgtdt0(W2,xR,W1) ))| sdtmndtplgtdt0(W0,xR,W1)| sdtmndtasgtdt0(W0,xR,W1) )& ~ (? [W2] : aReductOfIn0(W2,W1,xR) ))| aNormalFormOfIn0(W1,W0,xR) ) )) ) ))),
% 0.09/0.41    inference(negated_conjecture,[status(cth)],[f15])).
% 0.09/0.41  fof(f23,plain,(
% 0.09/0.41    ![W0,W1]: ((~aElement0(W0)|~aRewritingSystem0(W1))|(![W2]: (~aReductOfIn0(W2,W0,W1)|aElement0(W2))))),
% 0.09/0.41    inference(pre_NNF_transformation,[status(thm)],[f3])).
% 0.09/0.41  fof(f24,plain,(
% 0.09/0.41    ![X0,X1,X2]: (~aElement0(X0)|~aRewritingSystem0(X1)|~aReductOfIn0(X2,X0,X1)|aElement0(X2))),
% 0.09/0.41    inference(cnf_transformation,[status(thm)],[f23])).
% 0.09/0.41  fof(f80,plain,(
% 0.09/0.41    ![W0,W1]: ((~aElement0(W0)|~aRewritingSystem0(W1))|(![W2]: (aNormalFormOfIn0(W2,W0,W1)<=>((aElement0(W2)&sdtmndtasgtdt0(W0,W1,W2))&(![W3]: ~aReductOfIn0(W3,W2,W1))))))),
% 0.09/0.41    inference(pre_NNF_transformation,[status(thm)],[f13])).
% 0.09/0.41  fof(f81,plain,(
% 0.09/0.41    ![W0,W1]: ((~aElement0(W0)|~aRewritingSystem0(W1))|(![W2]: ((~aNormalFormOfIn0(W2,W0,W1)|((aElement0(W2)&sdtmndtasgtdt0(W0,W1,W2))&(![W3]: ~aReductOfIn0(W3,W2,W1))))&(aNormalFormOfIn0(W2,W0,W1)|((~aElement0(W2)|~sdtmndtasgtdt0(W0,W1,W2))|(?[W3]: aReductOfIn0(W3,W2,W1)))))))),
% 0.09/0.41    inference(NNF_transformation,[status(thm)],[f80])).
% 0.09/0.41  fof(f82,plain,(
% 0.09/0.41    ![W0,W1]: ((~aElement0(W0)|~aRewritingSystem0(W1))|((![W2]: (~aNormalFormOfIn0(W2,W0,W1)|((aElement0(W2)&sdtmndtasgtdt0(W0,W1,W2))&(![W3]: ~aReductOfIn0(W3,W2,W1)))))&(![W2]: (aNormalFormOfIn0(W2,W0,W1)|((~aElement0(W2)|~sdtmndtasgtdt0(W0,W1,W2))|(?[W3]: aReductOfIn0(W3,W2,W1)))))))),
% 0.09/0.41    inference(miniscoping,[status(thm)],[f81])).
% 0.09/0.41  fof(f83,plain,(
% 0.09/0.41    ![W0,W1]: ((~aElement0(W0)|~aRewritingSystem0(W1))|((![W2]: (~aNormalFormOfIn0(W2,W0,W1)|((aElement0(W2)&sdtmndtasgtdt0(W0,W1,W2))&(![W3]: ~aReductOfIn0(W3,W2,W1)))))&(![W2]: (aNormalFormOfIn0(W2,W0,W1)|((~aElement0(W2)|~sdtmndtasgtdt0(W0,W1,W2))|aReductOfIn0(sK11_skl(W2,W1,W0),W2,W1))))))),
% 0.09/0.41    inference(skolemize,[status(esa),new_symbols(skolem,[sK11_skl]),skolemize(W3,sK11_skl(W2,W1,W0))],[f82])).
% 0.09/0.41  fof(f84,plain,(
% 0.09/0.41    ![X0,X1,X2]: (~aElement0(X0)|~aRewritingSystem0(X1)|~aNormalFormOfIn0(X2,X0,X1)|aElement0(X2))),
% 0.09/0.41    inference(cnf_transformation,[status(thm)],[f83])).
% 0.09/0.41  fof(f88,plain,(
% 0.09/0.41    (aRewritingSystem0(xR)&(![W0,W1]: ((~aElement0(W0)|~aElement0(W1))|(((~aReductOfIn0(W1,W0,xR)&(![W2]: ((~aElement0(W2)|~aReductOfIn0(W2,W0,xR))|~sdtmndtplgtdt0(W2,xR,W1))))&~sdtmndtplgtdt0(W0,xR,W1))|iLess0(W1,W0)))))&isTerminating0(xR)),
% 0.09/0.41    inference(pre_NNF_transformation,[status(thm)],[f14])).
% 0.09/0.41  fof(f89,plain,(
% 0.09/0.41    aRewritingSystem0(xR)),
% 0.09/0.41    inference(cnf_transformation,[status(thm)],[f88])).
% 0.09/0.41  fof(f90,plain,(
% 0.09/0.41    ![X0,X1]: (~aElement0(X0)|~aElement0(X1)|~aReductOfIn0(X1,X0,xR)|iLess0(X1,X0))),
% 0.09/0.41    inference(cnf_transformation,[status(thm)],[f88])).
% 0.09/0.41  fof(f94,plain,(
% 0.09/0.41    (?[W0]: (aElement0(W0)&((![W1]: (~aElement0(W1)|(~iLess0(W1,W0)|(?[W2]: ((((aElement0(W2)&(W1=W2|((aReductOfIn0(W2,W1,xR)|(?[W3]: ((aElement0(W3)&aReductOfIn0(W3,W1,xR))&sdtmndtplgtdt0(W3,xR,W2))))&sdtmndtplgtdt0(W1,xR,W2))))&sdtmndtasgtdt0(W1,xR,W2))&(![W3]: ~aReductOfIn0(W3,W2,xR)))&aNormalFormOfIn0(W2,W1,xR))))))&(![W1]: (((~aElement0(W1)|((((~W0=W1&~aReductOfIn0(W1,W0,xR))&(![W2]: ((~aElement0(W2)|~aReductOfIn0(W2,W0,xR))|~sdtmndtplgtdt0(W2,xR,W1))))&~sdtmndtplgtdt0(W0,xR,W1))&~sdtmndtasgtdt0(W0,xR,W1)))|(?[W2]: aReductOfIn0(W2,W1,xR)))&~aNormalFormOfIn0(W1,W0,xR))))))),
% 0.09/0.41    inference(pre_NNF_transformation,[status(thm)],[f16])).
% 0.09/0.41  fof(f95,plain,(
% 0.09/0.41    ?[W0]: (aElement0(W0)&((![W1]: (~aElement0(W1)|(~iLess0(W1,W0)|(?[W2]: ((((aElement0(W2)&(W1=W2|((aReductOfIn0(W2,W1,xR)|(?[W3]: ((aElement0(W3)&aReductOfIn0(W3,W1,xR))&sdtmndtplgtdt0(W3,xR,W2))))&sdtmndtplgtdt0(W1,xR,W2))))&sdtmndtasgtdt0(W1,xR,W2))&(![W3]: ~aReductOfIn0(W3,W2,xR)))&aNormalFormOfIn0(W2,W1,xR))))))&((![W1]: ((~aElement0(W1)|((((~W0=W1&~aReductOfIn0(W1,W0,xR))&(![W2]: ((~aElement0(W2)|~aReductOfIn0(W2,W0,xR))|~sdtmndtplgtdt0(W2,xR,W1))))&~sdtmndtplgtdt0(W0,xR,W1))&~sdtmndtasgtdt0(W0,xR,W1)))|(?[W2]: aReductOfIn0(W2,W1,xR))))&(![W1]: ~aNormalFormOfIn0(W1,W0,xR)))))),
% 0.09/0.41    inference(miniscoping,[status(thm)],[f94])).
% 0.09/0.41  fof(f96,plain,(
% 0.09/0.41    (aElement0(sK12_skl)&((![W1]: (~aElement0(W1)|(~iLess0(W1,sK12_skl)|((((aElement0(sK13_skl(W1))&(W1=sK13_skl(W1)|((aReductOfIn0(sK13_skl(W1),W1,xR)|((aElement0(sK14_skl(W1))&aReductOfIn0(sK14_skl(W1),W1,xR))&sdtmndtplgtdt0(sK14_skl(W1),xR,sK13_skl(W1))))&sdtmndtplgtdt0(W1,xR,sK13_skl(W1)))))&sdtmndtasgtdt0(W1,xR,sK13_skl(W1)))&(![W3]: ~aReductOfIn0(W3,sK13_skl(W1),xR)))&aNormalFormOfIn0(sK13_skl(W1),W1,xR)))))&((![W1]: ((~aElement0(W1)|((((~sK12_skl=W1&~aReductOfIn0(W1,sK12_skl,xR))&(![W2]: ((~aElement0(W2)|~aReductOfIn0(W2,sK12_skl,xR))|~sdtmndtplgtdt0(W2,xR,W1))))&~sdtmndtplgtdt0(sK12_skl,xR,W1))&~sdtmndtasgtdt0(sK12_skl,xR,W1)))|aReductOfIn0(sK15_skl(W1),W1,xR)))&(![W1]: ~aNormalFormOfIn0(W1,sK12_skl,xR)))))),
% 0.09/0.41    inference(skolemize,[status(esa),new_symbols(skolem,[sK12_skl,sK13_skl,sK14_skl,sK15_skl]),skolemize(W0,sK12_skl),skolemize(W2,sK13_skl(W1)),skolemize(W3,sK14_skl(W1)),skolemize(W2,sK15_skl(W1))],[f95])).
% 0.09/0.41  fof(f97,plain,(
% 0.09/0.41    aElement0(sK12_skl)),
% 0.09/0.41    inference(cnf_transformation,[status(thm)],[f96])).
% 0.09/0.41  fof(f102,plain,(
% 0.09/0.41    ![X0]: (~aElement0(X0)|~iLess0(X0,sK12_skl)|X0=sK13_skl(X0)|sdtmndtplgtdt0(X0,xR,sK13_skl(X0)))),
% 0.09/0.41    inference(cnf_transformation,[status(thm)],[f96])).
% 0.09/0.41  fof(f104,plain,(
% 0.09/0.41    ![X0,X1]: (~aElement0(X0)|~iLess0(X0,sK12_skl)|~aReductOfIn0(X1,sK13_skl(X0),xR))),
% 0.09/0.41    inference(cnf_transformation,[status(thm)],[f96])).
% 0.09/0.41  fof(f105,plain,(
% 0.09/0.41    ![X0]: (~aElement0(X0)|~iLess0(X0,sK12_skl)|aNormalFormOfIn0(sK13_skl(X0),X0,xR))),
% 0.09/0.41    inference(cnf_transformation,[status(thm)],[f96])).
% 0.09/0.41  fof(f106,plain,(
% 0.09/0.41    ![X0]: (~aElement0(X0)|~sK12_skl=X0|aReductOfIn0(sK15_skl(X0),X0,xR))),
% 0.09/0.41    inference(cnf_transformation,[status(thm)],[f96])).
% 0.09/0.41  fof(f107,plain,(
% 0.09/0.41    ![X0]: (~aElement0(X0)|~aReductOfIn0(X0,sK12_skl,xR)|aReductOfIn0(sK15_skl(X0),X0,xR))),
% 0.09/0.41    inference(cnf_transformation,[status(thm)],[f96])).
% 0.09/0.41  fof(f108,plain,(
% 0.09/0.41    ![X0,X1]: (~aElement0(X0)|~aElement0(X1)|~aReductOfIn0(X1,sK12_skl,xR)|~sdtmndtplgtdt0(X1,xR,X0)|aReductOfIn0(sK15_skl(X0),X0,xR))),
% 0.09/0.41    inference(cnf_transformation,[status(thm)],[f96])).
% 0.09/0.41  fof(f119,plain,(
% 0.09/0.41    ~aElement0(sK12_skl)|aReductOfIn0(sK15_skl(sK12_skl),sK12_skl,xR)),
% 0.09/0.41    inference(destructive_equality_resolution,[status(thm)],[f106])).
% 0.09/0.41  fof(f120,plain,(
% 0.09/0.41    aReductOfIn0(sK15_skl(sK12_skl),sK12_skl,xR)),
% 0.09/0.41    inference(forward_subsumption_resolution,[status(thm)],[f119,f97])).
% 0.09/0.41  fof(f121,plain,(
% 0.09/0.41    ![X0,X1]: (~aElement0(X0)|~aReductOfIn0(X1,X0,xR)|aElement0(X1))),
% 0.09/0.41    inference(resolution,[status(thm)],[f24,f89])).
% 0.09/0.41  fof(f123,plain,(
% 0.09/0.41    ![X0,X1]: (~aElement0(X0)|~aReductOfIn0(X1,X0,xR)|iLess0(X1,X0))),
% 0.09/0.41    inference(backward_subsumption_resolution,[status(thm)],[f90,f121])).
% 0.09/0.41  fof(f125,plain,(
% 0.09/0.41    ![X0]: (~aReductOfIn0(X0,sK12_skl,xR)|aElement0(X0))),
% 0.09/0.41    inference(resolution,[status(thm)],[f121,f97])).
% 0.09/0.41  fof(f126,plain,(
% 0.09/0.41    ![X0,X1]: (~aElement0(X0)|~aReductOfIn0(X1,sK12_skl,xR)|~sdtmndtplgtdt0(X1,xR,X0)|aReductOfIn0(sK15_skl(X0),X0,xR))),
% 0.09/0.41    inference(backward_subsumption_resolution,[status(thm)],[f108,f125])).
% 0.09/0.41  fof(f127,plain,(
% 0.09/0.41    ![X0]: (~aReductOfIn0(X0,sK12_skl,xR)|aReductOfIn0(sK15_skl(X0),X0,xR))),
% 0.09/0.41    inference(backward_subsumption_resolution,[status(thm)],[f107,f125])).
% 0.09/0.41  fof(f129,plain,(
% 0.09/0.41    aElement0(sK15_skl(sK12_skl))),
% 0.09/0.41    inference(resolution,[status(thm)],[f125,f120])).
% 0.09/0.41  fof(f133,plain,(
% 0.09/0.41    ~aElement0(sK12_skl)|iLess0(sK15_skl(sK12_skl),sK12_skl)),
% 0.09/0.41    inference(resolution,[status(thm)],[f123,f120])).
% 0.09/0.41  fof(f135,plain,(
% 0.09/0.41    iLess0(sK15_skl(sK12_skl),sK12_skl)),
% 0.09/0.41    inference(forward_subsumption_resolution,[status(thm)],[f133,f97])).
% 0.09/0.41  fof(f146,plain,(
% 0.09/0.41    aReductOfIn0(sK15_skl(sK15_skl(sK12_skl)),sK15_skl(sK12_skl),xR)),
% 0.09/0.41    inference(resolution,[status(thm)],[f127,f120])).
% 0.09/0.41  fof(f178,plain,(
% 0.09/0.41    ![X0]: (~aElement0(sK15_skl(sK12_skl))|~aReductOfIn0(X0,sK13_skl(sK15_skl(sK12_skl)),xR))),
% 0.09/0.41    inference(resolution,[status(thm)],[f104,f135])).
% 0.09/0.41  fof(f179,plain,(
% 0.09/0.41    ![X0]: (~aReductOfIn0(X0,sK13_skl(sK15_skl(sK12_skl)),xR))),
% 0.09/0.41    inference(forward_subsumption_resolution,[status(thm)],[f178,f129])).
% 0.09/0.41  fof(f181,plain,(
% 0.09/0.41    ~aElement0(sK15_skl(sK12_skl))|aNormalFormOfIn0(sK13_skl(sK15_skl(sK12_skl)),sK15_skl(sK12_skl),xR)),
% 0.09/0.41    inference(resolution,[status(thm)],[f105,f135])).
% 0.09/0.41  fof(f182,plain,(
% 0.09/0.41    aNormalFormOfIn0(sK13_skl(sK15_skl(sK12_skl)),sK15_skl(sK12_skl),xR)),
% 0.09/0.41    inference(forward_subsumption_resolution,[status(thm)],[f181,f129])).
% 0.09/0.41  fof(f184,plain,(
% 0.09/0.41    ~aElement0(sK15_skl(sK12_skl))|~aRewritingSystem0(xR)|aElement0(sK13_skl(sK15_skl(sK12_skl)))),
% 0.09/0.41    inference(resolution,[status(thm)],[f182,f84])).
% 0.09/0.41  fof(f185,plain,(
% 0.09/0.41    ~aRewritingSystem0(xR)|aElement0(sK13_skl(sK15_skl(sK12_skl)))),
% 0.09/0.41    inference(forward_subsumption_resolution,[status(thm)],[f184,f129])).
% 0.09/0.41  fof(f201,plain,(
% 0.09/0.41    ~aElement0(sK15_skl(sK12_skl))|sK15_skl(sK12_skl)=sK13_skl(sK15_skl(sK12_skl))|sdtmndtplgtdt0(sK15_skl(sK12_skl),xR,sK13_skl(sK15_skl(sK12_skl)))),
% 0.09/0.41    inference(resolution,[status(thm)],[f102,f135])).
% 0.09/0.41  fof(f202,plain,(
% 0.09/0.41    sK15_skl(sK12_skl)=sK13_skl(sK15_skl(sK12_skl))|sdtmndtplgtdt0(sK15_skl(sK12_skl),xR,sK13_skl(sK15_skl(sK12_skl)))),
% 0.09/0.41    inference(forward_subsumption_resolution,[status(thm)],[f201,f129])).
% 0.09/0.41  fof(f252,plain,(
% 0.09/0.41    ![X0]: (~aElement0(X0)|~sdtmndtplgtdt0(sK15_skl(sK12_skl),xR,X0)|aReductOfIn0(sK15_skl(X0),X0,xR))),
% 0.09/0.41    inference(resolution,[status(thm)],[f126,f120])).
% 0.09/0.41  fof(f349,plain,(
% 0.09/0.41    sK15_skl(sK12_skl)=sK13_skl(sK15_skl(sK12_skl))|~aElement0(sK13_skl(sK15_skl(sK12_skl)))|aReductOfIn0(sK15_skl(sK13_skl(sK15_skl(sK12_skl))),sK13_skl(sK15_skl(sK12_skl)),xR)),
% 0.09/0.41    inference(resolution,[status(thm)],[f202,f252])).
% 0.09/0.41  fof(f358,plain,(
% 0.09/0.41    sK15_skl(sK12_skl)=sK13_skl(sK15_skl(sK12_skl))|~aElement0(sK13_skl(sK15_skl(sK12_skl)))),
% 0.09/0.41    inference(forward_subsumption_resolution,[status(thm)],[f349,f179])).
% 0.09/0.41  fof(f359,plain,(
% 0.09/0.41    sK15_skl(sK12_skl)=sK13_skl(sK15_skl(sK12_skl))|~aRewritingSystem0(xR)),
% 0.09/0.41    inference(resolution,[status(thm)],[f358,f185])).
% 0.09/0.41  fof(f366,plain,(
% 0.09/0.41    ![X0]: (~aReductOfIn0(X0,sK15_skl(sK12_skl),xR))),
% 0.09/0.41    inference(backward_demodulation,[status(thm)],[f370,f179])).
% 0.09/0.41  fof(f370,plain,(
% 0.09/0.41    sK15_skl(sK12_skl)=sK13_skl(sK15_skl(sK12_skl))),
% 0.09/0.41    inference(forward_subsumption_resolution,[status(thm)],[f359,f89])).
% 0.09/0.41  fof(f372,plain,(
% 0.09/0.41    $false),
% 0.09/0.41    inference(backward_subsumption_resolution,[status(thm)],[f146,f366])).
% 0.09/0.41  % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.44  % Elapsed time: 0.071378 seconds
% 0.09/0.44  % CPU time: 0.239672 seconds
% 0.09/0.44  % Total memory used: 84.336 MB
% 0.09/0.44  % Net memory used: 84.082 MB
%------------------------------------------------------------------------------