TSTP Solution File: COM013+4 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : COM013+4 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:14:02 EDT 2024
% Result : Theorem 0.11s 0.35s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : COM013+4 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.32 % Computer : n014.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue Apr 30 00:55:49 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.34 % Drodi V3.6.0
% 0.11/0.35 % Refutation found
% 0.11/0.35 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.11/0.35 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.35 fof(f3,axiom,(
% 0.11/0.35 (! [W0,W1] :( ( aElement0(W0)& aRewritingSystem0(W1) )=> (! [W2] :( aReductOfIn0(W2,W0,W1)=> aElement0(W2) ) )) )),
% 0.11/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.35 fof(f6,definition,(
% 0.11/0.35 (! [W0,W1,W2] :( ( aElement0(W0)& aRewritingSystem0(W1)& aElement0(W2) )=> ( sdtmndtplgtdt0(W0,W1,W2)<=> ( aReductOfIn0(W2,W0,W1)| (? [W3] :( aElement0(W3)& aReductOfIn0(W3,W0,W1)& sdtmndtplgtdt0(W3,W1,W2) ) )) ) ) )),
% 0.11/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.35 fof(f8,definition,(
% 0.11/0.35 (! [W0,W1,W2] :( ( aElement0(W0)& aRewritingSystem0(W1)& aElement0(W2) )=> ( sdtmndtasgtdt0(W0,W1,W2)<=> ( W0 = W2| sdtmndtplgtdt0(W0,W1,W2) ) ) ) )),
% 0.11/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.35 fof(f13,definition,(
% 0.11/0.35 (! [W0,W1] :( ( aElement0(W0)& aRewritingSystem0(W1) )=> (! [W2] :( aNormalFormOfIn0(W2,W0,W1)<=> ( aElement0(W2)& sdtmndtasgtdt0(W0,W1,W2)& ~ (? [W3] : aReductOfIn0(W3,W2,W1) )) ) )) )),
% 0.11/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.35 fof(f14,hypothesis,(
% 0.11/0.35 ( 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) ) ),
% 0.11/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.35 fof(f15,conjecture,(
% 0.11/0.35 (! [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) ) )) ) )),
% 0.11/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.35 fof(f16,negated_conjecture,(
% 0.11/0.35 ~((! [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) ) )) ) ))),
% 0.11/0.35 inference(negated_conjecture,[status(cth)],[f15])).
% 0.11/0.35 fof(f23,plain,(
% 0.11/0.35 ![W0,W1]: ((~aElement0(W0)|~aRewritingSystem0(W1))|(![W2]: (~aReductOfIn0(W2,W0,W1)|aElement0(W2))))),
% 0.11/0.35 inference(pre_NNF_transformation,[status(esa)],[f3])).
% 0.11/0.35 fof(f24,plain,(
% 0.11/0.35 ![X0,X1,X2]: (~aElement0(X0)|~aRewritingSystem0(X1)|~aReductOfIn0(X2,X0,X1)|aElement0(X2))),
% 0.11/0.35 inference(cnf_transformation,[status(esa)],[f23])).
% 0.11/0.35 fof(f29,plain,(
% 0.11/0.35 ![W0,W1,W2]: (((~aElement0(W0)|~aRewritingSystem0(W1))|~aElement0(W2))|(sdtmndtplgtdt0(W0,W1,W2)<=>(aReductOfIn0(W2,W0,W1)|(?[W3]: ((aElement0(W3)&aReductOfIn0(W3,W0,W1))&sdtmndtplgtdt0(W3,W1,W2))))))),
% 0.11/0.35 inference(pre_NNF_transformation,[status(esa)],[f6])).
% 0.11/0.35 fof(f30,plain,(
% 0.11/0.35 ![W0,W1,W2]: (((~aElement0(W0)|~aRewritingSystem0(W1))|~aElement0(W2))|((~sdtmndtplgtdt0(W0,W1,W2)|(aReductOfIn0(W2,W0,W1)|(?[W3]: ((aElement0(W3)&aReductOfIn0(W3,W0,W1))&sdtmndtplgtdt0(W3,W1,W2)))))&(sdtmndtplgtdt0(W0,W1,W2)|(~aReductOfIn0(W2,W0,W1)&(![W3]: ((~aElement0(W3)|~aReductOfIn0(W3,W0,W1))|~sdtmndtplgtdt0(W3,W1,W2)))))))),
% 0.11/0.35 inference(NNF_transformation,[status(esa)],[f29])).
% 0.11/0.35 fof(f31,plain,(
% 0.11/0.35 ![W0,W1,W2]: (((~aElement0(W0)|~aRewritingSystem0(W1))|~aElement0(W2))|((~sdtmndtplgtdt0(W0,W1,W2)|(aReductOfIn0(W2,W0,W1)|((aElement0(sk0_0(W2,W1,W0))&aReductOfIn0(sk0_0(W2,W1,W0),W0,W1))&sdtmndtplgtdt0(sk0_0(W2,W1,W0),W1,W2))))&(sdtmndtplgtdt0(W0,W1,W2)|(~aReductOfIn0(W2,W0,W1)&(![W3]: ((~aElement0(W3)|~aReductOfIn0(W3,W0,W1))|~sdtmndtplgtdt0(W3,W1,W2)))))))),
% 0.11/0.35 inference(skolemization,[status(esa)],[f30])).
% 0.11/0.35 fof(f35,plain,(
% 0.11/0.35 ![X0,X1,X2]: (~aElement0(X0)|~aRewritingSystem0(X1)|~aElement0(X2)|sdtmndtplgtdt0(X0,X1,X2)|~aReductOfIn0(X2,X0,X1))),
% 0.11/0.35 inference(cnf_transformation,[status(esa)],[f31])).
% 0.11/0.35 fof(f39,plain,(
% 0.11/0.35 ![W0,W1,W2]: (((~aElement0(W0)|~aRewritingSystem0(W1))|~aElement0(W2))|(sdtmndtasgtdt0(W0,W1,W2)<=>(W0=W2|sdtmndtplgtdt0(W0,W1,W2))))),
% 0.11/0.35 inference(pre_NNF_transformation,[status(esa)],[f8])).
% 0.11/0.35 fof(f40,plain,(
% 0.11/0.35 ![W0,W1,W2]: (((~aElement0(W0)|~aRewritingSystem0(W1))|~aElement0(W2))|((~sdtmndtasgtdt0(W0,W1,W2)|(W0=W2|sdtmndtplgtdt0(W0,W1,W2)))&(sdtmndtasgtdt0(W0,W1,W2)|(~W0=W2&~sdtmndtplgtdt0(W0,W1,W2)))))),
% 0.11/0.35 inference(NNF_transformation,[status(esa)],[f39])).
% 0.11/0.35 fof(f42,plain,(
% 0.11/0.35 ![X0,X1,X2]: (~aElement0(X0)|~aRewritingSystem0(X1)|~aElement0(X2)|sdtmndtasgtdt0(X0,X1,X2)|~X0=X2)),
% 0.11/0.35 inference(cnf_transformation,[status(esa)],[f40])).
% 0.11/0.35 fof(f80,plain,(
% 0.11/0.35 ![W0,W1]: ((~aElement0(W0)|~aRewritingSystem0(W1))|(![W2]: (aNormalFormOfIn0(W2,W0,W1)<=>((aElement0(W2)&sdtmndtasgtdt0(W0,W1,W2))&(![W3]: ~aReductOfIn0(W3,W2,W1))))))),
% 0.11/0.35 inference(pre_NNF_transformation,[status(esa)],[f13])).
% 0.11/0.35 fof(f81,plain,(
% 0.11/0.35 ![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)))))))),
% 0.11/0.35 inference(NNF_transformation,[status(esa)],[f80])).
% 0.11/0.35 fof(f82,plain,(
% 0.11/0.35 ![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)))))))),
% 0.11/0.35 inference(miniscoping,[status(esa)],[f81])).
% 0.11/0.35 fof(f83,plain,(
% 0.11/0.35 ![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(sk0_11(W2,W1,W0),W2,W1))))))),
% 0.11/0.35 inference(skolemization,[status(esa)],[f82])).
% 0.11/0.35 fof(f84,plain,(
% 0.11/0.35 ![X0,X1,X2]: (~aElement0(X0)|~aRewritingSystem0(X1)|~aNormalFormOfIn0(X2,X0,X1)|aElement0(X2))),
% 0.11/0.35 inference(cnf_transformation,[status(esa)],[f83])).
% 0.11/0.35 fof(f86,plain,(
% 0.11/0.35 ![X0,X1,X2,X3]: (~aElement0(X0)|~aRewritingSystem0(X1)|~aNormalFormOfIn0(X2,X0,X1)|~aReductOfIn0(X3,X2,X1))),
% 0.11/0.35 inference(cnf_transformation,[status(esa)],[f83])).
% 0.11/0.35 fof(f88,plain,(
% 0.11/0.35 (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)),
% 0.11/0.35 inference(pre_NNF_transformation,[status(esa)],[f14])).
% 0.11/0.35 fof(f89,plain,(
% 0.11/0.35 aRewritingSystem0(xR)),
% 0.11/0.35 inference(cnf_transformation,[status(esa)],[f88])).
% 0.11/0.35 fof(f92,plain,(
% 0.11/0.35 ![X0,X1]: (~aElement0(X0)|~aElement0(X1)|~sdtmndtplgtdt0(X0,xR,X1)|iLess0(X1,X0))),
% 0.11/0.35 inference(cnf_transformation,[status(esa)],[f88])).
% 0.11/0.35 fof(f94,plain,(
% 0.11/0.35 (?[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))))))),
% 0.11/0.35 inference(pre_NNF_transformation,[status(esa)],[f16])).
% 0.11/0.35 fof(f95,plain,(
% 0.11/0.35 ?[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)))))),
% 0.11/0.35 inference(miniscoping,[status(esa)],[f94])).
% 0.11/0.35 fof(f96,plain,(
% 0.11/0.35 (aElement0(sk0_12)&((![W1]: (~aElement0(W1)|(~iLess0(W1,sk0_12)|((((aElement0(sk0_13(W1))&(W1=sk0_13(W1)|((aReductOfIn0(sk0_13(W1),W1,xR)|((aElement0(sk0_14(W1))&aReductOfIn0(sk0_14(W1),W1,xR))&sdtmndtplgtdt0(sk0_14(W1),xR,sk0_13(W1))))&sdtmndtplgtdt0(W1,xR,sk0_13(W1)))))&sdtmndtasgtdt0(W1,xR,sk0_13(W1)))&(![W3]: ~aReductOfIn0(W3,sk0_13(W1),xR)))&aNormalFormOfIn0(sk0_13(W1),W1,xR)))))&((![W1]: ((~aElement0(W1)|((((~sk0_12=W1&~aReductOfIn0(W1,sk0_12,xR))&(![W2]: ((~aElement0(W2)|~aReductOfIn0(W2,sk0_12,xR))|~sdtmndtplgtdt0(W2,xR,W1))))&~sdtmndtplgtdt0(sk0_12,xR,W1))&~sdtmndtasgtdt0(sk0_12,xR,W1)))|aReductOfIn0(sk0_15(W1),W1,xR)))&(![W1]: ~aNormalFormOfIn0(W1,sk0_12,xR)))))),
% 0.11/0.35 inference(skolemization,[status(esa)],[f95])).
% 0.11/0.35 fof(f97,plain,(
% 0.11/0.35 aElement0(sk0_12)),
% 0.11/0.35 inference(cnf_transformation,[status(esa)],[f96])).
% 0.11/0.35 fof(f102,plain,(
% 0.11/0.35 ![X0]: (~aElement0(X0)|~iLess0(X0,sk0_12)|X0=sk0_13(X0)|sdtmndtplgtdt0(X0,xR,sk0_13(X0)))),
% 0.11/0.35 inference(cnf_transformation,[status(esa)],[f96])).
% 0.11/0.35 fof(f104,plain,(
% 0.11/0.35 ![X0,X1]: (~aElement0(X0)|~iLess0(X0,sk0_12)|~aReductOfIn0(X1,sk0_13(X0),xR))),
% 0.11/0.35 inference(cnf_transformation,[status(esa)],[f96])).
% 0.11/0.35 fof(f105,plain,(
% 0.11/0.35 ![X0]: (~aElement0(X0)|~iLess0(X0,sk0_12)|aNormalFormOfIn0(sk0_13(X0),X0,xR))),
% 0.11/0.35 inference(cnf_transformation,[status(esa)],[f96])).
% 0.11/0.35 fof(f106,plain,(
% 0.11/0.35 ![X0]: (~aElement0(X0)|~sk0_12=X0|aReductOfIn0(sk0_15(X0),X0,xR))),
% 0.11/0.35 inference(cnf_transformation,[status(esa)],[f96])).
% 0.11/0.35 fof(f107,plain,(
% 0.11/0.35 ![X0]: (~aElement0(X0)|~aReductOfIn0(X0,sk0_12,xR)|aReductOfIn0(sk0_15(X0),X0,xR))),
% 0.11/0.35 inference(cnf_transformation,[status(esa)],[f96])).
% 0.11/0.35 fof(f108,plain,(
% 0.11/0.35 ![X0,X1]: (~aElement0(X0)|~aElement0(X1)|~aReductOfIn0(X1,sk0_12,xR)|~sdtmndtplgtdt0(X1,xR,X0)|aReductOfIn0(sk0_15(X0),X0,xR))),
% 0.11/0.35 inference(cnf_transformation,[status(esa)],[f96])).
% 0.11/0.35 fof(f110,plain,(
% 0.11/0.35 ![X0]: (~aElement0(X0)|~sdtmndtasgtdt0(sk0_12,xR,X0)|aReductOfIn0(sk0_15(X0),X0,xR))),
% 0.11/0.35 inference(cnf_transformation,[status(esa)],[f96])).
% 0.11/0.35 fof(f112,plain,(
% 0.11/0.35 ![X2,X1]: (~aElement0(X2)|~aRewritingSystem0(X1)|~aElement0(X2)|sdtmndtasgtdt0(X2,X1,X2))),
% 0.11/0.35 inference(destructive_equality_resolution,[status(esa)],[f42])).
% 0.11/0.35 fof(f113,plain,(
% 0.11/0.35 ![X0,X1]: (~aElement0(X0)|~aRewritingSystem0(X1)|sdtmndtasgtdt0(X0,X1,X0))),
% 0.11/0.35 inference(duplicate_literals_removal,[status(esa)],[f112])).
% 0.11/0.35 fof(f114,plain,(
% 0.11/0.35 ~aElement0(sk0_12)|aReductOfIn0(sk0_15(sk0_12),sk0_12,xR)),
% 0.11/0.35 inference(destructive_equality_resolution,[status(esa)],[f106])).
% 0.11/0.35 fof(f115,plain,(
% 0.11/0.35 aReductOfIn0(sk0_15(sk0_12),sk0_12,xR)),
% 0.11/0.35 inference(forward_subsumption_resolution,[status(thm)],[f114,f97])).
% 0.11/0.35 fof(f116,plain,(
% 0.11/0.35 spl0_0 <=> aElement0(sk0_15(sk0_12))),
% 0.11/0.35 introduced(split_symbol_definition)).
% 0.11/0.35 fof(f119,plain,(
% 0.11/0.35 spl0_1 <=> aReductOfIn0(sk0_15(sk0_15(sk0_12)),sk0_15(sk0_12),xR)),
% 0.11/0.35 introduced(split_symbol_definition)).
% 0.11/0.35 fof(f120,plain,(
% 0.11/0.35 aReductOfIn0(sk0_15(sk0_15(sk0_12)),sk0_15(sk0_12),xR)|~spl0_1),
% 0.11/0.35 inference(component_clause,[status(thm)],[f119])).
% 0.11/0.35 fof(f122,plain,(
% 0.11/0.35 ~aElement0(sk0_15(sk0_12))|aReductOfIn0(sk0_15(sk0_15(sk0_12)),sk0_15(sk0_12),xR)),
% 0.11/0.35 inference(resolution,[status(thm)],[f107,f115])).
% 0.11/0.35 fof(f123,plain,(
% 0.11/0.35 ~spl0_0|spl0_1),
% 0.11/0.35 inference(split_clause,[status(thm)],[f122,f116,f119])).
% 0.11/0.35 fof(f124,plain,(
% 0.11/0.35 spl0_2 <=> aElement0(sk0_12)),
% 0.11/0.35 introduced(split_symbol_definition)).
% 0.11/0.35 fof(f126,plain,(
% 0.11/0.35 ~aElement0(sk0_12)|spl0_2),
% 0.11/0.35 inference(component_clause,[status(thm)],[f124])).
% 0.11/0.35 fof(f127,plain,(
% 0.11/0.35 spl0_3 <=> aRewritingSystem0(xR)),
% 0.11/0.35 introduced(split_symbol_definition)).
% 0.11/0.35 fof(f128,plain,(
% 0.11/0.35 aRewritingSystem0(xR)|~spl0_3),
% 0.11/0.35 inference(component_clause,[status(thm)],[f127])).
% 0.11/0.35 fof(f129,plain,(
% 0.11/0.35 ~aRewritingSystem0(xR)|spl0_3),
% 0.11/0.35 inference(component_clause,[status(thm)],[f127])).
% 0.11/0.35 fof(f130,plain,(
% 0.11/0.35 ~aElement0(sk0_12)|~aRewritingSystem0(xR)|aElement0(sk0_15(sk0_12))),
% 0.11/0.35 inference(resolution,[status(thm)],[f24,f115])).
% 0.11/0.35 fof(f131,plain,(
% 0.11/0.35 ~spl0_2|~spl0_3|spl0_0),
% 0.11/0.35 inference(split_clause,[status(thm)],[f130,f124,f127,f116])).
% 0.11/0.35 fof(f137,plain,(
% 0.11/0.35 $false|spl0_2),
% 0.11/0.35 inference(forward_subsumption_resolution,[status(thm)],[f126,f97])).
% 0.11/0.35 fof(f138,plain,(
% 0.11/0.35 spl0_2),
% 0.11/0.35 inference(contradiction_clause,[status(thm)],[f137])).
% 0.11/0.35 fof(f141,plain,(
% 0.11/0.35 $false|spl0_3),
% 0.11/0.35 inference(forward_subsumption_resolution,[status(thm)],[f89,f129])).
% 0.11/0.35 fof(f142,plain,(
% 0.11/0.35 spl0_3),
% 0.11/0.35 inference(contradiction_clause,[status(thm)],[f141])).
% 0.11/0.35 fof(f145,plain,(
% 0.11/0.35 ![X0]: (~aRewritingSystem0(X0)|sdtmndtasgtdt0(sk0_12,X0,sk0_12))),
% 0.11/0.35 inference(resolution,[status(thm)],[f113,f97])).
% 0.11/0.35 fof(f146,plain,(
% 0.11/0.35 sdtmndtasgtdt0(sk0_12,xR,sk0_12)|~spl0_3),
% 0.11/0.35 inference(resolution,[status(thm)],[f145,f128])).
% 0.11/0.35 fof(f148,plain,(
% 0.11/0.35 spl0_5 <=> aReductOfIn0(sk0_15(sk0_12),sk0_12,xR)),
% 0.11/0.35 introduced(split_symbol_definition)).
% 0.11/0.35 fof(f151,plain,(
% 0.11/0.35 ~aElement0(sk0_12)|aReductOfIn0(sk0_15(sk0_12),sk0_12,xR)|~spl0_3),
% 0.11/0.35 inference(resolution,[status(thm)],[f146,f110])).
% 0.11/0.35 fof(f152,plain,(
% 0.11/0.35 ~spl0_2|spl0_5|~spl0_3),
% 0.11/0.35 inference(split_clause,[status(thm)],[f151,f124,f148,f127])).
% 0.11/0.35 fof(f154,plain,(
% 0.11/0.35 ![X0,X1,X2]: (~aElement0(X0)|~aRewritingSystem0(X1)|sdtmndtplgtdt0(X0,X1,X2)|~aReductOfIn0(X2,X0,X1))),
% 0.11/0.35 inference(forward_subsumption_resolution,[status(thm)],[f35,f24])).
% 0.11/0.35 fof(f160,plain,(
% 0.11/0.35 spl0_7 <=> sdtmndtplgtdt0(sk0_12,xR,sk0_15(sk0_12))),
% 0.11/0.35 introduced(split_symbol_definition)).
% 0.11/0.35 fof(f161,plain,(
% 0.11/0.35 sdtmndtplgtdt0(sk0_12,xR,sk0_15(sk0_12))|~spl0_7),
% 0.11/0.35 inference(component_clause,[status(thm)],[f160])).
% 0.11/0.35 fof(f163,plain,(
% 0.11/0.35 ~aElement0(sk0_12)|~aRewritingSystem0(xR)|sdtmndtplgtdt0(sk0_12,xR,sk0_15(sk0_12))),
% 0.11/0.35 inference(resolution,[status(thm)],[f154,f115])).
% 0.11/0.35 fof(f164,plain,(
% 0.11/0.35 ~spl0_2|~spl0_3|spl0_7),
% 0.11/0.35 inference(split_clause,[status(thm)],[f163,f124,f127,f160])).
% 0.11/0.35 fof(f207,plain,(
% 0.11/0.35 spl0_16 <=> iLess0(sk0_15(sk0_12),sk0_12)),
% 0.11/0.35 introduced(split_symbol_definition)).
% 0.11/0.35 fof(f208,plain,(
% 0.11/0.35 iLess0(sk0_15(sk0_12),sk0_12)|~spl0_16),
% 0.11/0.35 inference(component_clause,[status(thm)],[f207])).
% 0.11/0.35 fof(f210,plain,(
% 0.11/0.35 ~aElement0(sk0_12)|~aElement0(sk0_15(sk0_12))|iLess0(sk0_15(sk0_12),sk0_12)|~spl0_7),
% 0.11/0.35 inference(resolution,[status(thm)],[f92,f161])).
% 0.11/0.35 fof(f211,plain,(
% 0.11/0.35 ~spl0_2|~spl0_0|spl0_16|~spl0_7),
% 0.11/0.35 inference(split_clause,[status(thm)],[f210,f124,f116,f207,f160])).
% 0.11/0.35 fof(f212,plain,(
% 0.11/0.35 spl0_17 <=> sk0_15(sk0_12)=sk0_13(sk0_15(sk0_12))),
% 0.11/0.35 introduced(split_symbol_definition)).
% 0.11/0.35 fof(f213,plain,(
% 0.11/0.35 sk0_15(sk0_12)=sk0_13(sk0_15(sk0_12))|~spl0_17),
% 0.11/0.35 inference(component_clause,[status(thm)],[f212])).
% 0.11/0.35 fof(f228,plain,(
% 0.11/0.35 spl0_21 <=> sdtmndtplgtdt0(sk0_15(sk0_12),xR,sk0_13(sk0_15(sk0_12)))),
% 0.11/0.35 introduced(split_symbol_definition)).
% 0.11/0.35 fof(f229,plain,(
% 0.11/0.35 sdtmndtplgtdt0(sk0_15(sk0_12),xR,sk0_13(sk0_15(sk0_12)))|~spl0_21),
% 0.11/0.35 inference(component_clause,[status(thm)],[f228])).
% 0.11/0.35 fof(f231,plain,(
% 0.11/0.35 ~aElement0(sk0_15(sk0_12))|sk0_15(sk0_12)=sk0_13(sk0_15(sk0_12))|sdtmndtplgtdt0(sk0_15(sk0_12),xR,sk0_13(sk0_15(sk0_12)))|~spl0_16),
% 0.11/0.35 inference(resolution,[status(thm)],[f208,f102])).
% 0.11/0.35 fof(f232,plain,(
% 0.11/0.35 ~spl0_0|spl0_17|spl0_21|~spl0_16),
% 0.11/0.35 inference(split_clause,[status(thm)],[f231,f116,f212,f228,f207])).
% 0.11/0.35 fof(f233,plain,(
% 0.11/0.35 spl0_22 <=> aNormalFormOfIn0(sk0_13(sk0_15(sk0_12)),sk0_15(sk0_12),xR)),
% 0.11/0.35 introduced(split_symbol_definition)).
% 0.11/0.35 fof(f234,plain,(
% 0.11/0.35 aNormalFormOfIn0(sk0_13(sk0_15(sk0_12)),sk0_15(sk0_12),xR)|~spl0_22),
% 0.11/0.35 inference(component_clause,[status(thm)],[f233])).
% 0.11/0.35 fof(f236,plain,(
% 0.11/0.35 ~aElement0(sk0_15(sk0_12))|aNormalFormOfIn0(sk0_13(sk0_15(sk0_12)),sk0_15(sk0_12),xR)|~spl0_16),
% 0.11/0.35 inference(resolution,[status(thm)],[f208,f105])).
% 0.11/0.35 fof(f237,plain,(
% 0.11/0.35 ~spl0_0|spl0_22|~spl0_16),
% 0.11/0.35 inference(split_clause,[status(thm)],[f236,f116,f233,f207])).
% 0.11/0.35 fof(f248,plain,(
% 0.11/0.35 spl0_25 <=> aElement0(sk0_13(sk0_15(sk0_12)))),
% 0.11/0.35 introduced(split_symbol_definition)).
% 0.11/0.35 fof(f254,plain,(
% 0.11/0.35 spl0_26 <=> ~aReductOfIn0(X0,sk0_15(sk0_12),xR)),
% 0.11/0.35 introduced(split_symbol_definition)).
% 0.11/0.35 fof(f255,plain,(
% 0.11/0.35 ![X0]: (~aReductOfIn0(X0,sk0_15(sk0_12),xR)|~spl0_26)),
% 0.11/0.35 inference(component_clause,[status(thm)],[f254])).
% 0.11/0.35 fof(f257,plain,(
% 0.11/0.35 ![X0]: (~aElement0(sk0_15(sk0_12))|~iLess0(sk0_15(sk0_12),sk0_12)|~aReductOfIn0(X0,sk0_15(sk0_12),xR)|~spl0_17)),
% 0.11/0.35 inference(paramodulation,[status(thm)],[f213,f104])).
% 0.11/0.35 fof(f258,plain,(
% 0.11/0.35 ~spl0_0|~spl0_16|spl0_26|~spl0_17),
% 0.11/0.35 inference(split_clause,[status(thm)],[f257,f116,f207,f254,f212])).
% 0.11/0.35 fof(f259,plain,(
% 0.11/0.35 $false|~spl0_26|~spl0_1),
% 0.11/0.35 inference(backward_subsumption_resolution,[status(thm)],[f120,f255])).
% 0.11/0.35 fof(f260,plain,(
% 0.11/0.35 ~spl0_26|~spl0_1),
% 0.11/0.35 inference(contradiction_clause,[status(thm)],[f259])).
% 0.11/0.35 fof(f262,plain,(
% 0.11/0.35 spl0_27 <=> ~aReductOfIn0(X0,sk0_13(sk0_15(sk0_12)),xR)),
% 0.11/0.35 introduced(split_symbol_definition)).
% 0.11/0.35 fof(f263,plain,(
% 0.11/0.35 ![X0]: (~aReductOfIn0(X0,sk0_13(sk0_15(sk0_12)),xR)|~spl0_27)),
% 0.11/0.35 inference(component_clause,[status(thm)],[f262])).
% 0.11/0.35 fof(f265,plain,(
% 0.11/0.35 ![X0]: (~aElement0(sk0_15(sk0_12))|~aRewritingSystem0(xR)|~aReductOfIn0(X0,sk0_13(sk0_15(sk0_12)),xR)|~spl0_22)),
% 0.11/0.35 inference(resolution,[status(thm)],[f234,f86])).
% 0.11/0.35 fof(f266,plain,(
% 0.11/0.35 ~spl0_0|~spl0_3|spl0_27|~spl0_22),
% 0.11/0.35 inference(split_clause,[status(thm)],[f265,f116,f127,f262,f233])).
% 0.11/0.35 fof(f269,plain,(
% 0.11/0.35 ~aElement0(sk0_15(sk0_12))|~aRewritingSystem0(xR)|aElement0(sk0_13(sk0_15(sk0_12)))|~spl0_22),
% 0.11/0.35 inference(resolution,[status(thm)],[f234,f84])).
% 0.11/0.35 fof(f270,plain,(
% 0.11/0.35 ~spl0_0|~spl0_3|spl0_25|~spl0_22),
% 0.11/0.35 inference(split_clause,[status(thm)],[f269,f116,f127,f248,f233])).
% 0.11/0.35 fof(f284,plain,(
% 0.11/0.35 spl0_29 <=> aReductOfIn0(sk0_15(sk0_13(sk0_15(sk0_12))),sk0_13(sk0_15(sk0_12)),xR)),
% 0.11/0.35 introduced(split_symbol_definition)).
% 0.11/0.35 fof(f285,plain,(
% 0.11/0.35 aReductOfIn0(sk0_15(sk0_13(sk0_15(sk0_12))),sk0_13(sk0_15(sk0_12)),xR)|~spl0_29),
% 0.11/0.35 inference(component_clause,[status(thm)],[f284])).
% 0.11/0.35 fof(f287,plain,(
% 0.11/0.35 ~aElement0(sk0_13(sk0_15(sk0_12)))|~aElement0(sk0_15(sk0_12))|~aReductOfIn0(sk0_15(sk0_12),sk0_12,xR)|aReductOfIn0(sk0_15(sk0_13(sk0_15(sk0_12))),sk0_13(sk0_15(sk0_12)),xR)|~spl0_21),
% 0.11/0.35 inference(resolution,[status(thm)],[f229,f108])).
% 0.11/0.35 fof(f288,plain,(
% 0.11/0.35 ~spl0_25|~spl0_0|~spl0_5|spl0_29|~spl0_21),
% 0.11/0.35 inference(split_clause,[status(thm)],[f287,f248,f116,f148,f284,f228])).
% 0.11/0.35 fof(f289,plain,(
% 0.11/0.35 $false|~spl0_27|~spl0_29),
% 0.11/0.35 inference(forward_subsumption_resolution,[status(thm)],[f285,f263])).
% 0.11/0.35 fof(f290,plain,(
% 0.11/0.35 ~spl0_27|~spl0_29),
% 0.11/0.35 inference(contradiction_clause,[status(thm)],[f289])).
% 0.11/0.35 fof(f291,plain,(
% 0.11/0.35 $false),
% 0.11/0.35 inference(sat_refutation,[status(thm)],[f123,f131,f138,f142,f152,f164,f211,f232,f237,f258,f260,f266,f270,f288,f290])).
% 0.11/0.35 % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.37 % Elapsed time: 0.024429 seconds
% 0.11/0.37 % CPU time: 0.068584 seconds
% 0.11/0.37 % Total memory used: 13.881 MB
% 0.11/0.37 % Net memory used: 13.856 MB
%------------------------------------------------------------------------------