TSTP Solution File: COM023+4 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : COM023+4 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n013.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 20:14:04 EDT 2024
% Result : Theorem 2.88s 0.77s
% Output : CNFRefutation 2.88s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : COM023+4 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n013.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Apr 30 01:00:19 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % Drodi V3.6.0
% 2.88/0.77 % Refutation found
% 2.88/0.77 % SZS status Theorem for theBenchmark: Theorem is valid
% 2.88/0.77 % SZS output start CNFRefutation for theBenchmark
% 2.88/0.77 fof(f8,definition,(
% 2.88/0.77 (! [W0,W1,W2] :( ( aElement0(W0)& aRewritingSystem0(W1)& aElement0(W2) )=> ( sdtmndtasgtdt0(W0,W1,W2)<=> ( W0 = W2| sdtmndtplgtdt0(W0,W1,W2) ) ) ) )),
% 2.88/0.77 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.88/0.77 fof(f9,axiom,(
% 2.88/0.77 (! [W0,W1,W2,W3] :( ( aElement0(W0)& aRewritingSystem0(W1)& aElement0(W2)& aElement0(W3) )=> ( ( sdtmndtasgtdt0(W0,W1,W2)& sdtmndtasgtdt0(W2,W1,W3) )=> sdtmndtasgtdt0(W0,W1,W3) ) ) )),
% 2.88/0.77 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.88/0.77 fof(f15,hypothesis,(
% 2.88/0.77 aRewritingSystem0(xR) ),
% 2.88/0.77 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.88/0.77 fof(f17,hypothesis,(
% 2.88/0.77 (! [W0,W1,W2] :( ( aElement0(W0)& aElement0(W1)& aElement0(W2)& ( W0 = W1| aReductOfIn0(W1,W0,xR)| (? [W3] :( aElement0(W3)& aReductOfIn0(W3,W0,xR)& sdtmndtplgtdt0(W3,xR,W1) ))| sdtmndtplgtdt0(W0,xR,W1)| sdtmndtasgtdt0(W0,xR,W1) )& ( W0 = W2| aReductOfIn0(W2,W0,xR)| (? [W3] :( aElement0(W3)& aReductOfIn0(W3,W0,xR)& sdtmndtplgtdt0(W3,xR,W2) ))| sdtmndtplgtdt0(W0,xR,W2)| sdtmndtasgtdt0(W0,xR,W2) ) )=> (? [W3] :( aElement0(W3)& ( W1 = W3| ( ( aReductOfIn0(W3,W1,xR)| (? [W4] :( aElement0(W4)& aReductOfIn0(W4,W1,xR)& sdtmndtplgtdt0(W4,xR,W3) ) ))& sdtmndtplgtdt0(W1,xR,W3) ) )& sdtmndtasgtdt0(W1,xR,W3)& ( W2 = W3| ( ( aReductOfIn0(W3,W2,xR)| (? [W4] :( aElement0(W4)& aReductOfIn0(W4,W2,xR)& sdtmndtplgtdt0(W4,xR,W3) ) ))& sdtmndtplgtdt0(W2,xR,W3) ) )& sdtmndtasgtdt0(W2,xR,W3) ) )) )),
% 2.88/0.77 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.88/0.77 fof(f18,conjecture,(
% 2.88/0.77 ( (! [W0,W1,W2] :( ( aElement0(W0)& aElement0(W1)& aElement0(W2)& ( W0 = W1| ( ( aReductOfIn0(W1,W0,xR)| (? [W3] :( aElement0(W3)& aReductOfIn0(W3,W0,xR)& sdtmndtplgtdt0(W3,xR,W1) ) ))& sdtmndtplgtdt0(W0,xR,W1) ) )& sdtmndtasgtdt0(W0,xR,W1)& ( W0 = W2| ( ( aReductOfIn0(W2,W0,xR)| (? [W3] :( aElement0(W3)& aReductOfIn0(W3,W0,xR)& sdtmndtplgtdt0(W3,xR,W2) ) ))& sdtmndtplgtdt0(W0,xR,W2) ) )& sdtmndtasgtdt0(W0,xR,W2) )=> (? [W3] :( aElement0(W3)& ( W1 = W3| aReductOfIn0(W3,W1,xR)| (? [W4] :( aElement0(W4)& aReductOfIn0(W4,W1,xR)& sdtmndtplgtdt0(W4,xR,W3) ))| sdtmndtplgtdt0(W1,xR,W3)| sdtmndtasgtdt0(W1,xR,W3) )& ( W2 = W3| aReductOfIn0(W3,W2,xR)| (? [W4] :( aElement0(W4)& aReductOfIn0(W4,W2,xR)& sdtmndtplgtdt0(W4,xR,W3) ))| sdtmndtplgtdt0(W2,xR,W3)| sdtmndtasgtdt0(W2,xR,W3) ) ) )))| isConfluent0(xR) ) ),
% 2.88/0.77 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.88/0.77 fof(f19,negated_conjecture,(
% 2.88/0.77 ~(( (! [W0,W1,W2] :( ( aElement0(W0)& aElement0(W1)& aElement0(W2)& ( W0 = W1| ( ( aReductOfIn0(W1,W0,xR)| (? [W3] :( aElement0(W3)& aReductOfIn0(W3,W0,xR)& sdtmndtplgtdt0(W3,xR,W1) ) ))& sdtmndtplgtdt0(W0,xR,W1) ) )& sdtmndtasgtdt0(W0,xR,W1)& ( W0 = W2| ( ( aReductOfIn0(W2,W0,xR)| (? [W3] :( aElement0(W3)& aReductOfIn0(W3,W0,xR)& sdtmndtplgtdt0(W3,xR,W2) ) ))& sdtmndtplgtdt0(W0,xR,W2) ) )& sdtmndtasgtdt0(W0,xR,W2) )=> (? [W3] :( aElement0(W3)& ( W1 = W3| aReductOfIn0(W3,W1,xR)| (? [W4] :( aElement0(W4)& aReductOfIn0(W4,W1,xR)& sdtmndtplgtdt0(W4,xR,W3) ))| sdtmndtplgtdt0(W1,xR,W3)| sdtmndtasgtdt0(W1,xR,W3) )& ( W2 = W3| aReductOfIn0(W3,W2,xR)| (? [W4] :( aElement0(W4)& aReductOfIn0(W4,W2,xR)& sdtmndtplgtdt0(W4,xR,W3) ))| sdtmndtplgtdt0(W2,xR,W3)| sdtmndtasgtdt0(W2,xR,W3) ) ) )))| isConfluent0(xR) ) )),
% 2.88/0.77 inference(negated_conjecture,[status(cth)],[f18])).
% 2.88/0.77 fof(f42,plain,(
% 2.88/0.77 ![W0,W1,W2]: (((~aElement0(W0)|~aRewritingSystem0(W1))|~aElement0(W2))|(sdtmndtasgtdt0(W0,W1,W2)<=>(W0=W2|sdtmndtplgtdt0(W0,W1,W2))))),
% 2.88/0.77 inference(pre_NNF_transformation,[status(esa)],[f8])).
% 2.88/0.77 fof(f43,plain,(
% 2.88/0.77 ![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)))))),
% 2.88/0.77 inference(NNF_transformation,[status(esa)],[f42])).
% 2.88/0.77 fof(f45,plain,(
% 2.88/0.77 ![X0,X1,X2]: (~aElement0(X0)|~aRewritingSystem0(X1)|~aElement0(X2)|sdtmndtasgtdt0(X0,X1,X2)|~X0=X2)),
% 2.88/0.77 inference(cnf_transformation,[status(esa)],[f43])).
% 2.88/0.77 fof(f47,plain,(
% 2.88/0.77 ![W0,W1,W2,W3]: ((((~aElement0(W0)|~aRewritingSystem0(W1))|~aElement0(W2))|~aElement0(W3))|((~sdtmndtasgtdt0(W0,W1,W2)|~sdtmndtasgtdt0(W2,W1,W3))|sdtmndtasgtdt0(W0,W1,W3)))),
% 2.88/0.77 inference(pre_NNF_transformation,[status(esa)],[f9])).
% 2.88/0.77 fof(f48,plain,(
% 2.88/0.77 ![X0,X1,X2,X3]: (~aElement0(X0)|~aRewritingSystem0(X1)|~aElement0(X2)|~aElement0(X3)|~sdtmndtasgtdt0(X0,X1,X2)|~sdtmndtasgtdt0(X2,X1,X3)|sdtmndtasgtdt0(X0,X1,X3))),
% 2.88/0.77 inference(cnf_transformation,[status(esa)],[f47])).
% 2.88/0.77 fof(f94,plain,(
% 2.88/0.77 aRewritingSystem0(xR)),
% 2.88/0.77 inference(cnf_transformation,[status(esa)],[f15])).
% 2.88/0.77 fof(f114,plain,(
% 2.88/0.77 ![W0,W1,W2]: (((((~aElement0(W0)|~aElement0(W1))|~aElement0(W2))|((((~W0=W1&~aReductOfIn0(W1,W0,xR))&(![W3]: ((~aElement0(W3)|~aReductOfIn0(W3,W0,xR))|~sdtmndtplgtdt0(W3,xR,W1))))&~sdtmndtplgtdt0(W0,xR,W1))&~sdtmndtasgtdt0(W0,xR,W1)))|((((~W0=W2&~aReductOfIn0(W2,W0,xR))&(![W3]: ((~aElement0(W3)|~aReductOfIn0(W3,W0,xR))|~sdtmndtplgtdt0(W3,xR,W2))))&~sdtmndtplgtdt0(W0,xR,W2))&~sdtmndtasgtdt0(W0,xR,W2)))|(?[W3]: ((((aElement0(W3)&(W1=W3|((aReductOfIn0(W3,W1,xR)|(?[W4]: ((aElement0(W4)&aReductOfIn0(W4,W1,xR))&sdtmndtplgtdt0(W4,xR,W3))))&sdtmndtplgtdt0(W1,xR,W3))))&sdtmndtasgtdt0(W1,xR,W3))&(W2=W3|((aReductOfIn0(W3,W2,xR)|(?[W4]: ((aElement0(W4)&aReductOfIn0(W4,W2,xR))&sdtmndtplgtdt0(W4,xR,W3))))&sdtmndtplgtdt0(W2,xR,W3))))&sdtmndtasgtdt0(W2,xR,W3))))),
% 2.88/0.77 inference(pre_NNF_transformation,[status(esa)],[f17])).
% 2.88/0.77 fof(f115,plain,(
% 2.88/0.77 ![W0,W1]: (pd0_0(W1,W0)=>((((~W0=W1&~aReductOfIn0(W1,W0,xR))&(![W3]: ((~aElement0(W3)|~aReductOfIn0(W3,W0,xR))|~sdtmndtplgtdt0(W3,xR,W1))))&~sdtmndtplgtdt0(W0,xR,W1))&~sdtmndtasgtdt0(W0,xR,W1)))),
% 2.88/0.77 introduced(predicate_definition,[f114])).
% 2.88/0.77 fof(f116,plain,(
% 2.88/0.77 ![W0,W2]: (pd0_1(W2,W0)=>((((~W0=W2&~aReductOfIn0(W2,W0,xR))&(![W3]: ((~aElement0(W3)|~aReductOfIn0(W3,W0,xR))|~sdtmndtplgtdt0(W3,xR,W2))))&~sdtmndtplgtdt0(W0,xR,W2))&~sdtmndtasgtdt0(W0,xR,W2)))),
% 2.88/0.77 introduced(predicate_definition,[f114])).
% 2.88/0.77 fof(f117,plain,(
% 2.88/0.77 ![W0,W1,W2]: (((((~aElement0(W0)|~aElement0(W1))|~aElement0(W2))|pd0_0(W1,W0))|pd0_1(W2,W0))|(?[W3]: ((((aElement0(W3)&(W1=W3|((aReductOfIn0(W3,W1,xR)|(?[W4]: ((aElement0(W4)&aReductOfIn0(W4,W1,xR))&sdtmndtplgtdt0(W4,xR,W3))))&sdtmndtplgtdt0(W1,xR,W3))))&sdtmndtasgtdt0(W1,xR,W3))&(W2=W3|((aReductOfIn0(W3,W2,xR)|(?[W4]: ((aElement0(W4)&aReductOfIn0(W4,W2,xR))&sdtmndtplgtdt0(W4,xR,W3))))&sdtmndtplgtdt0(W2,xR,W3))))&sdtmndtasgtdt0(W2,xR,W3))))),
% 2.88/0.77 inference(formula_renaming,[status(thm)],[f114,f116,f115])).
% 2.88/0.77 fof(f118,plain,(
% 2.88/0.77 ![W1,W2]: ((![W0]: ((((~aElement0(W0)|~aElement0(W1))|~aElement0(W2))|pd0_0(W1,W0))|pd0_1(W2,W0)))|(?[W3]: ((((aElement0(W3)&(W1=W3|((aReductOfIn0(W3,W1,xR)|(?[W4]: ((aElement0(W4)&aReductOfIn0(W4,W1,xR))&sdtmndtplgtdt0(W4,xR,W3))))&sdtmndtplgtdt0(W1,xR,W3))))&sdtmndtasgtdt0(W1,xR,W3))&(W2=W3|((aReductOfIn0(W3,W2,xR)|(?[W4]: ((aElement0(W4)&aReductOfIn0(W4,W2,xR))&sdtmndtplgtdt0(W4,xR,W3))))&sdtmndtplgtdt0(W2,xR,W3))))&sdtmndtasgtdt0(W2,xR,W3))))),
% 2.88/0.77 inference(miniscoping,[status(esa)],[f117])).
% 2.88/0.77 fof(f119,plain,(
% 2.88/0.77 ![W1,W2]: ((![W0]: ((((~aElement0(W0)|~aElement0(W1))|~aElement0(W2))|pd0_0(W1,W0))|pd0_1(W2,W0)))|((((aElement0(sk0_16(W2,W1))&(W1=sk0_16(W2,W1)|((aReductOfIn0(sk0_16(W2,W1),W1,xR)|((aElement0(sk0_17(W2,W1))&aReductOfIn0(sk0_17(W2,W1),W1,xR))&sdtmndtplgtdt0(sk0_17(W2,W1),xR,sk0_16(W2,W1))))&sdtmndtplgtdt0(W1,xR,sk0_16(W2,W1)))))&sdtmndtasgtdt0(W1,xR,sk0_16(W2,W1)))&(W2=sk0_16(W2,W1)|((aReductOfIn0(sk0_16(W2,W1),W2,xR)|((aElement0(sk0_18(W2,W1))&aReductOfIn0(sk0_18(W2,W1),W2,xR))&sdtmndtplgtdt0(sk0_18(W2,W1),xR,sk0_16(W2,W1))))&sdtmndtplgtdt0(W2,xR,sk0_16(W2,W1)))))&sdtmndtasgtdt0(W2,xR,sk0_16(W2,W1))))),
% 2.88/0.77 inference(skolemization,[status(esa)],[f118])).
% 2.88/0.77 fof(f120,plain,(
% 2.88/0.77 ![X0,X1,X2]: (~aElement0(X0)|~aElement0(X1)|~aElement0(X2)|pd0_0(X1,X0)|pd0_1(X2,X0)|aElement0(sk0_16(X2,X1)))),
% 2.88/0.77 inference(cnf_transformation,[status(esa)],[f119])).
% 2.88/0.77 fof(f125,plain,(
% 2.88/0.77 ![X0,X1,X2]: (~aElement0(X0)|~aElement0(X1)|~aElement0(X2)|pd0_0(X1,X0)|pd0_1(X2,X0)|sdtmndtasgtdt0(X1,xR,sk0_16(X2,X1)))),
% 2.88/0.77 inference(cnf_transformation,[status(esa)],[f119])).
% 2.88/0.77 fof(f130,plain,(
% 2.88/0.77 ![X0,X1,X2]: (~aElement0(X0)|~aElement0(X1)|~aElement0(X2)|pd0_0(X1,X0)|pd0_1(X2,X0)|sdtmndtasgtdt0(X2,xR,sk0_16(X2,X1)))),
% 2.88/0.77 inference(cnf_transformation,[status(esa)],[f119])).
% 2.88/0.77 fof(f131,plain,(
% 2.88/0.77 ((?[W0,W1,W2]: (((((((aElement0(W0)&aElement0(W1))&aElement0(W2))&(W0=W1|((aReductOfIn0(W1,W0,xR)|(?[W3]: ((aElement0(W3)&aReductOfIn0(W3,W0,xR))&sdtmndtplgtdt0(W3,xR,W1))))&sdtmndtplgtdt0(W0,xR,W1))))&sdtmndtasgtdt0(W0,xR,W1))&(W0=W2|((aReductOfIn0(W2,W0,xR)|(?[W3]: ((aElement0(W3)&aReductOfIn0(W3,W0,xR))&sdtmndtplgtdt0(W3,xR,W2))))&sdtmndtplgtdt0(W0,xR,W2))))&sdtmndtasgtdt0(W0,xR,W2))&(![W3]: ((~aElement0(W3)|((((~W1=W3&~aReductOfIn0(W3,W1,xR))&(![W4]: ((~aElement0(W4)|~aReductOfIn0(W4,W1,xR))|~sdtmndtplgtdt0(W4,xR,W3))))&~sdtmndtplgtdt0(W1,xR,W3))&~sdtmndtasgtdt0(W1,xR,W3)))|((((~W2=W3&~aReductOfIn0(W3,W2,xR))&(![W4]: ((~aElement0(W4)|~aReductOfIn0(W4,W2,xR))|~sdtmndtplgtdt0(W4,xR,W3))))&~sdtmndtplgtdt0(W2,xR,W3))&~sdtmndtasgtdt0(W2,xR,W3))))))&~isConfluent0(xR))),
% 2.88/0.77 inference(pre_NNF_transformation,[status(esa)],[f19])).
% 2.88/0.77 fof(f132,plain,(
% 2.88/0.77 ![W1,W3]: (pd0_2(W3,W1)=>((((~W1=W3&~aReductOfIn0(W3,W1,xR))&(![W4]: ((~aElement0(W4)|~aReductOfIn0(W4,W1,xR))|~sdtmndtplgtdt0(W4,xR,W3))))&~sdtmndtplgtdt0(W1,xR,W3))&~sdtmndtasgtdt0(W1,xR,W3)))),
% 2.88/0.77 introduced(predicate_definition,[f131])).
% 2.88/0.77 fof(f133,plain,(
% 2.88/0.77 (?[W0,W1,W2]: (((((((aElement0(W0)&aElement0(W1))&aElement0(W2))&(W0=W1|((aReductOfIn0(W1,W0,xR)|(?[W3]: ((aElement0(W3)&aReductOfIn0(W3,W0,xR))&sdtmndtplgtdt0(W3,xR,W1))))&sdtmndtplgtdt0(W0,xR,W1))))&sdtmndtasgtdt0(W0,xR,W1))&(W0=W2|((aReductOfIn0(W2,W0,xR)|(?[W3]: ((aElement0(W3)&aReductOfIn0(W3,W0,xR))&sdtmndtplgtdt0(W3,xR,W2))))&sdtmndtplgtdt0(W0,xR,W2))))&sdtmndtasgtdt0(W0,xR,W2))&(![W3]: ((~aElement0(W3)|pd0_2(W3,W1))|((((~W2=W3&~aReductOfIn0(W3,W2,xR))&(![W4]: ((~aElement0(W4)|~aReductOfIn0(W4,W2,xR))|~sdtmndtplgtdt0(W4,xR,W3))))&~sdtmndtplgtdt0(W2,xR,W3))&~sdtmndtasgtdt0(W2,xR,W3))))))&~isConfluent0(xR)),
% 2.88/0.77 inference(formula_renaming,[status(thm)],[f131,f132])).
% 2.88/0.77 fof(f134,plain,(
% 2.88/0.77 (?[W1,W2]: ((?[W0]: ((((((aElement0(W0)&aElement0(W1))&aElement0(W2))&(W0=W1|((aReductOfIn0(W1,W0,xR)|(?[W3]: ((aElement0(W3)&aReductOfIn0(W3,W0,xR))&sdtmndtplgtdt0(W3,xR,W1))))&sdtmndtplgtdt0(W0,xR,W1))))&sdtmndtasgtdt0(W0,xR,W1))&(W0=W2|((aReductOfIn0(W2,W0,xR)|(?[W3]: ((aElement0(W3)&aReductOfIn0(W3,W0,xR))&sdtmndtplgtdt0(W3,xR,W2))))&sdtmndtplgtdt0(W0,xR,W2))))&sdtmndtasgtdt0(W0,xR,W2)))&(![W3]: ((~aElement0(W3)|pd0_2(W3,W1))|((((~W2=W3&~aReductOfIn0(W3,W2,xR))&(![W4]: ((~aElement0(W4)|~aReductOfIn0(W4,W2,xR))|~sdtmndtplgtdt0(W4,xR,W3))))&~sdtmndtplgtdt0(W2,xR,W3))&~sdtmndtasgtdt0(W2,xR,W3))))))&~isConfluent0(xR)),
% 2.88/0.77 inference(miniscoping,[status(esa)],[f133])).
% 2.88/0.77 fof(f135,plain,(
% 2.88/0.77 (((((((aElement0(sk0_21)&aElement0(sk0_19))&aElement0(sk0_20))&(sk0_21=sk0_19|((aReductOfIn0(sk0_19,sk0_21,xR)|((aElement0(sk0_22)&aReductOfIn0(sk0_22,sk0_21,xR))&sdtmndtplgtdt0(sk0_22,xR,sk0_19)))&sdtmndtplgtdt0(sk0_21,xR,sk0_19))))&sdtmndtasgtdt0(sk0_21,xR,sk0_19))&(sk0_21=sk0_20|((aReductOfIn0(sk0_20,sk0_21,xR)|((aElement0(sk0_23)&aReductOfIn0(sk0_23,sk0_21,xR))&sdtmndtplgtdt0(sk0_23,xR,sk0_20)))&sdtmndtplgtdt0(sk0_21,xR,sk0_20))))&sdtmndtasgtdt0(sk0_21,xR,sk0_20))&(![W3]: ((~aElement0(W3)|pd0_2(W3,sk0_19))|((((~sk0_20=W3&~aReductOfIn0(W3,sk0_20,xR))&(![W4]: ((~aElement0(W4)|~aReductOfIn0(W4,sk0_20,xR))|~sdtmndtplgtdt0(W4,xR,W3))))&~sdtmndtplgtdt0(sk0_20,xR,W3))&~sdtmndtasgtdt0(sk0_20,xR,W3)))))&~isConfluent0(xR)),
% 2.88/0.77 inference(skolemization,[status(esa)],[f134])).
% 2.88/0.77 fof(f136,plain,(
% 2.88/0.77 aElement0(sk0_21)),
% 2.88/0.77 inference(cnf_transformation,[status(esa)],[f135])).
% 2.88/0.77 fof(f137,plain,(
% 2.88/0.77 aElement0(sk0_19)),
% 2.88/0.77 inference(cnf_transformation,[status(esa)],[f135])).
% 2.88/0.77 fof(f138,plain,(
% 2.88/0.77 aElement0(sk0_20)),
% 2.88/0.77 inference(cnf_transformation,[status(esa)],[f135])).
% 2.88/0.77 fof(f143,plain,(
% 2.88/0.77 sdtmndtasgtdt0(sk0_21,xR,sk0_19)),
% 2.88/0.77 inference(cnf_transformation,[status(esa)],[f135])).
% 2.88/0.77 fof(f148,plain,(
% 2.88/0.77 sdtmndtasgtdt0(sk0_21,xR,sk0_20)),
% 2.88/0.77 inference(cnf_transformation,[status(esa)],[f135])).
% 2.88/0.77 fof(f153,plain,(
% 2.88/0.77 ![X0]: (~aElement0(X0)|pd0_2(X0,sk0_19)|~sdtmndtasgtdt0(sk0_20,xR,X0))),
% 2.88/0.77 inference(cnf_transformation,[status(esa)],[f135])).
% 2.88/0.77 fof(f155,plain,(
% 2.88/0.77 ![W0,W1]: (~pd0_0(W1,W0)|((((~W0=W1&~aReductOfIn0(W1,W0,xR))&(![W3]: ((~aElement0(W3)|~aReductOfIn0(W3,W0,xR))|~sdtmndtplgtdt0(W3,xR,W1))))&~sdtmndtplgtdt0(W0,xR,W1))&~sdtmndtasgtdt0(W0,xR,W1)))),
% 2.88/0.77 inference(pre_NNF_transformation,[status(esa)],[f115])).
% 2.88/0.77 fof(f160,plain,(
% 2.88/0.77 ![X0,X1]: (~pd0_0(X0,X1)|~sdtmndtasgtdt0(X1,xR,X0))),
% 2.88/0.77 inference(cnf_transformation,[status(esa)],[f155])).
% 2.88/0.77 fof(f161,plain,(
% 2.88/0.77 ![W0,W2]: (~pd0_1(W2,W0)|((((~W0=W2&~aReductOfIn0(W2,W0,xR))&(![W3]: ((~aElement0(W3)|~aReductOfIn0(W3,W0,xR))|~sdtmndtplgtdt0(W3,xR,W2))))&~sdtmndtplgtdt0(W0,xR,W2))&~sdtmndtasgtdt0(W0,xR,W2)))),
% 2.88/0.77 inference(pre_NNF_transformation,[status(esa)],[f116])).
% 2.88/0.77 fof(f166,plain,(
% 2.88/0.77 ![X0,X1]: (~pd0_1(X0,X1)|~sdtmndtasgtdt0(X1,xR,X0))),
% 2.88/0.77 inference(cnf_transformation,[status(esa)],[f161])).
% 2.88/0.77 fof(f167,plain,(
% 2.88/0.77 ![W1,W3]: (~pd0_2(W3,W1)|((((~W1=W3&~aReductOfIn0(W3,W1,xR))&(![W4]: ((~aElement0(W4)|~aReductOfIn0(W4,W1,xR))|~sdtmndtplgtdt0(W4,xR,W3))))&~sdtmndtplgtdt0(W1,xR,W3))&~sdtmndtasgtdt0(W1,xR,W3)))),
% 2.88/0.77 inference(pre_NNF_transformation,[status(esa)],[f132])).
% 2.88/0.77 fof(f172,plain,(
% 2.88/0.77 ![X0,X1]: (~pd0_2(X0,X1)|~sdtmndtasgtdt0(X1,xR,X0))),
% 2.88/0.77 inference(cnf_transformation,[status(esa)],[f167])).
% 2.88/0.77 fof(f217,plain,(
% 2.88/0.77 ![X2,X1]: (~aElement0(X2)|~aRewritingSystem0(X1)|~aElement0(X2)|sdtmndtasgtdt0(X2,X1,X2))),
% 2.88/0.77 inference(destructive_equality_resolution,[status(esa)],[f45])).
% 2.88/0.77 fof(f218,plain,(
% 2.88/0.77 ![X0,X1]: (~aElement0(X0)|~aRewritingSystem0(X1)|sdtmndtasgtdt0(X0,X1,X0))),
% 2.88/0.77 inference(duplicate_literals_removal,[status(esa)],[f217])).
% 2.88/0.77 fof(f236,plain,(
% 2.88/0.77 spl0_12 <=> aElement0(sk0_20)),
% 2.88/0.77 introduced(split_symbol_definition)).
% 2.88/0.77 fof(f238,plain,(
% 2.88/0.77 ~aElement0(sk0_20)|spl0_12),
% 2.88/0.77 inference(component_clause,[status(thm)],[f236])).
% 2.88/0.77 fof(f243,plain,(
% 2.88/0.77 $false|spl0_12),
% 2.88/0.77 inference(forward_subsumption_resolution,[status(thm)],[f238,f138])).
% 2.88/0.77 fof(f244,plain,(
% 2.88/0.77 spl0_12),
% 2.88/0.77 inference(contradiction_clause,[status(thm)],[f243])).
% 2.88/0.77 fof(f250,plain,(
% 2.88/0.77 spl0_14 <=> aElement0(sk0_19)),
% 2.88/0.77 introduced(split_symbol_definition)).
% 2.88/0.77 fof(f252,plain,(
% 2.88/0.77 ~aElement0(sk0_19)|spl0_14),
% 2.88/0.77 inference(component_clause,[status(thm)],[f250])).
% 2.88/0.77 fof(f258,plain,(
% 2.88/0.77 $false|spl0_14),
% 2.88/0.77 inference(forward_subsumption_resolution,[status(thm)],[f252,f137])).
% 2.88/0.77 fof(f259,plain,(
% 2.88/0.77 spl0_14),
% 2.88/0.77 inference(contradiction_clause,[status(thm)],[f258])).
% 2.88/0.77 fof(f276,plain,(
% 2.88/0.77 spl0_17 <=> aElement0(sk0_21)),
% 2.88/0.77 introduced(split_symbol_definition)).
% 2.88/0.77 fof(f278,plain,(
% 2.88/0.77 ~aElement0(sk0_21)|spl0_17),
% 2.88/0.77 inference(component_clause,[status(thm)],[f276])).
% 2.88/0.77 fof(f284,plain,(
% 2.88/0.77 $false|spl0_17),
% 2.88/0.77 inference(forward_subsumption_resolution,[status(thm)],[f278,f136])).
% 2.88/0.77 fof(f285,plain,(
% 2.88/0.77 spl0_17),
% 2.88/0.77 inference(contradiction_clause,[status(thm)],[f284])).
% 2.88/0.77 fof(f300,plain,(
% 2.88/0.77 spl0_21 <=> aRewritingSystem0(xR)),
% 2.88/0.77 introduced(split_symbol_definition)).
% 2.88/0.77 fof(f302,plain,(
% 2.88/0.77 ~aRewritingSystem0(xR)|spl0_21),
% 2.88/0.77 inference(component_clause,[status(thm)],[f300])).
% 2.88/0.77 fof(f513,plain,(
% 2.88/0.77 $false|spl0_21),
% 2.88/0.77 inference(forward_subsumption_resolution,[status(thm)],[f94,f302])).
% 2.88/0.77 fof(f514,plain,(
% 2.88/0.77 spl0_21),
% 2.88/0.77 inference(contradiction_clause,[status(thm)],[f513])).
% 2.88/0.77 fof(f667,plain,(
% 2.88/0.77 spl0_64 <=> ~aElement0(X0)|~aElement0(X1)|~aElement0(X2)|pd0_0(X1,X0)|pd0_1(X2,X0)|~aElement0(X3)|~aElement0(X1)|~aElement0(sk0_16(X2,X1))|~sdtmndtasgtdt0(X3,xR,X1)|sdtmndtasgtdt0(X3,xR,sk0_16(X2,X1))),
% 2.88/0.77 introduced(split_symbol_definition)).
% 2.88/0.77 fof(f668,plain,(
% 2.88/0.77 ![X0,X1,X2,X3]: (~aElement0(X0)|~aElement0(X1)|~aElement0(X2)|pd0_0(X1,X0)|pd0_1(X2,X0)|~aElement0(X3)|~aElement0(X1)|~aElement0(sk0_16(X2,X1))|~sdtmndtasgtdt0(X3,xR,X1)|sdtmndtasgtdt0(X3,xR,sk0_16(X2,X1))|~spl0_64)),
% 2.88/0.77 inference(component_clause,[status(thm)],[f667])).
% 2.88/0.77 fof(f670,plain,(
% 2.88/0.77 ![X0,X1,X2,X3]: (~aElement0(X0)|~aElement0(X1)|~aElement0(X2)|pd0_0(X1,X0)|pd0_1(X2,X0)|~aElement0(X3)|~aRewritingSystem0(xR)|~aElement0(X1)|~aElement0(sk0_16(X2,X1))|~sdtmndtasgtdt0(X3,xR,X1)|sdtmndtasgtdt0(X3,xR,sk0_16(X2,X1)))),
% 2.88/0.77 inference(resolution,[status(thm)],[f125,f48])).
% 2.88/0.77 fof(f671,plain,(
% 2.88/0.77 spl0_64|~spl0_21),
% 2.88/0.77 inference(split_clause,[status(thm)],[f670,f667,f300])).
% 2.88/0.77 fof(f677,plain,(
% 2.88/0.77 ![X0,X1,X2,X3]: (~aElement0(X0)|~aElement0(X1)|~aElement0(X2)|pd0_0(X1,X0)|pd0_1(X2,X0)|~aElement0(X3)|~aElement0(sk0_16(X2,X1))|~sdtmndtasgtdt0(X3,xR,X1)|sdtmndtasgtdt0(X3,xR,sk0_16(X2,X1))|~spl0_64)),
% 2.88/0.77 inference(duplicate_literals_removal,[status(esa)],[f668])).
% 2.88/0.77 fof(f678,plain,(
% 2.88/0.77 ![X0,X1,X2,X3]: (~aElement0(X0)|~aElement0(X1)|~aElement0(X2)|pd0_0(X1,X0)|pd0_1(X2,X0)|~aElement0(X3)|~sdtmndtasgtdt0(X3,xR,X1)|sdtmndtasgtdt0(X3,xR,sk0_16(X2,X1))|~spl0_64)),
% 2.88/0.77 inference(forward_subsumption_resolution,[status(thm)],[f677,f120])).
% 2.88/0.77 fof(f693,plain,(
% 2.88/0.77 ![X0,X1,X2]: (~aElement0(X0)|~aElement0(X1)|~aElement0(X2)|pd0_0(X1,X0)|pd0_1(X2,X0)|~pd0_2(sk0_16(X2,X1),X2))),
% 2.88/0.77 inference(resolution,[status(thm)],[f130,f172])).
% 2.88/0.77 fof(f1354,plain,(
% 2.88/0.77 ~pd0_1(sk0_19,sk0_21)),
% 2.88/0.77 inference(resolution,[status(thm)],[f166,f143])).
% 2.88/0.77 fof(f1431,plain,(
% 2.88/0.77 spl0_183 <=> ~aElement0(X0)|pd0_0(sk0_20,X0)|pd0_1(sk0_19,X0)),
% 2.88/0.77 introduced(split_symbol_definition)).
% 2.88/0.77 fof(f1432,plain,(
% 2.88/0.77 ![X0]: (~aElement0(X0)|pd0_0(sk0_20,X0)|pd0_1(sk0_19,X0)|~spl0_183)),
% 2.88/0.77 inference(component_clause,[status(thm)],[f1431])).
% 2.88/0.77 fof(f1796,plain,(
% 2.88/0.77 spl0_227 <=> ~aElement0(X0)|~aElement0(X1)|~aElement0(X2)|pd0_0(X1,X0)|pd0_1(X2,X0)|~sdtmndtasgtdt0(sk0_20,xR,X1)|~aElement0(sk0_16(X2,X1))|pd0_2(sk0_16(X2,X1),sk0_19)),
% 2.88/0.77 introduced(split_symbol_definition)).
% 2.88/0.77 fof(f1797,plain,(
% 2.88/0.77 ![X0,X1,X2]: (~aElement0(X0)|~aElement0(X1)|~aElement0(X2)|pd0_0(X1,X0)|pd0_1(X2,X0)|~sdtmndtasgtdt0(sk0_20,xR,X1)|~aElement0(sk0_16(X2,X1))|pd0_2(sk0_16(X2,X1),sk0_19)|~spl0_227)),
% 2.88/0.77 inference(component_clause,[status(thm)],[f1796])).
% 2.88/0.77 fof(f1799,plain,(
% 2.88/0.77 ![X0,X1,X2]: (~aElement0(X0)|~aElement0(X1)|~aElement0(X2)|pd0_0(X1,X0)|pd0_1(X2,X0)|~aElement0(sk0_20)|~sdtmndtasgtdt0(sk0_20,xR,X1)|~aElement0(sk0_16(X2,X1))|pd0_2(sk0_16(X2,X1),sk0_19)|~spl0_64)),
% 2.88/0.77 inference(resolution,[status(thm)],[f678,f153])).
% 2.88/0.77 fof(f1800,plain,(
% 2.88/0.77 spl0_227|~spl0_12|~spl0_64),
% 2.88/0.77 inference(split_clause,[status(thm)],[f1799,f1796,f236,f667])).
% 2.88/0.77 fof(f1814,plain,(
% 2.88/0.77 ![X0,X1,X2]: (~aElement0(X0)|~aElement0(X1)|~aElement0(X2)|pd0_0(X1,X0)|pd0_1(X2,X0)|~sdtmndtasgtdt0(sk0_20,xR,X1)|pd0_2(sk0_16(X2,X1),sk0_19)|~spl0_227)),
% 2.88/0.77 inference(forward_subsumption_resolution,[status(thm)],[f1797,f120])).
% 2.88/0.77 fof(f2121,plain,(
% 2.88/0.77 spl0_274 <=> ~aElement0(X0)|~aElement0(X1)|pd0_0(X1,X0)|pd0_1(sk0_19,X0)|~sdtmndtasgtdt0(sk0_20,xR,X1)|~aElement0(X2)|~aElement0(X1)|pd0_0(X1,X2)|pd0_1(sk0_19,X2)),
% 2.88/0.77 introduced(split_symbol_definition)).
% 2.88/0.77 fof(f2122,plain,(
% 2.88/0.77 ![X0,X1,X2]: (~aElement0(X0)|~aElement0(X1)|pd0_0(X1,X0)|pd0_1(sk0_19,X0)|~sdtmndtasgtdt0(sk0_20,xR,X1)|~aElement0(X2)|~aElement0(X1)|pd0_0(X1,X2)|pd0_1(sk0_19,X2)|~spl0_274)),
% 2.88/0.77 inference(component_clause,[status(thm)],[f2121])).
% 2.88/0.77 fof(f2124,plain,(
% 2.88/0.77 ![X0,X1,X2]: (~aElement0(X0)|~aElement0(X1)|~aElement0(sk0_19)|pd0_0(X1,X0)|pd0_1(sk0_19,X0)|~sdtmndtasgtdt0(sk0_20,xR,X1)|~aElement0(X2)|~aElement0(X1)|~aElement0(sk0_19)|pd0_0(X1,X2)|pd0_1(sk0_19,X2)|~spl0_227)),
% 2.88/0.77 inference(resolution,[status(thm)],[f1814,f693])).
% 2.88/0.77 fof(f2125,plain,(
% 2.88/0.77 spl0_274|~spl0_14|~spl0_227),
% 2.88/0.77 inference(split_clause,[status(thm)],[f2124,f2121,f250,f1796])).
% 2.88/0.77 fof(f2131,plain,(
% 2.88/0.77 ![X0,X1,X2]: (~aElement0(X0)|~aElement0(X1)|pd0_0(X1,X0)|pd0_1(sk0_19,X0)|~sdtmndtasgtdt0(sk0_20,xR,X1)|~aElement0(X2)|pd0_0(X1,X2)|pd0_1(sk0_19,X2)|~spl0_274)),
% 2.88/0.77 inference(duplicate_literals_removal,[status(esa)],[f2122])).
% 2.88/0.77 fof(f2257,plain,(
% 2.88/0.77 ![X0,X1]: (~aElement0(X0)|~aElement0(sk0_20)|pd0_0(sk0_20,X0)|pd0_1(sk0_19,X0)|~aElement0(X1)|pd0_0(sk0_20,X1)|pd0_1(sk0_19,X1)|~aElement0(sk0_20)|~aRewritingSystem0(xR)|~spl0_274)),
% 2.88/0.77 inference(resolution,[status(thm)],[f2131,f218])).
% 2.88/0.77 fof(f2258,plain,(
% 2.88/0.77 spl0_183|~spl0_12|~spl0_21|~spl0_274),
% 2.88/0.77 inference(split_clause,[status(thm)],[f2257,f1431,f236,f300,f2121])).
% 2.88/0.77 fof(f2266,plain,(
% 2.88/0.77 spl0_301 <=> pd0_0(sk0_20,sk0_21)),
% 2.88/0.77 introduced(split_symbol_definition)).
% 2.88/0.77 fof(f2267,plain,(
% 2.88/0.77 pd0_0(sk0_20,sk0_21)|~spl0_301),
% 2.88/0.77 inference(component_clause,[status(thm)],[f2266])).
% 2.88/0.77 fof(f2269,plain,(
% 2.88/0.77 ~aElement0(sk0_21)|pd0_0(sk0_20,sk0_21)|~spl0_183),
% 2.88/0.77 inference(resolution,[status(thm)],[f1432,f1354])).
% 2.88/0.77 fof(f2270,plain,(
% 2.88/0.77 ~spl0_17|spl0_301|~spl0_183),
% 2.88/0.77 inference(split_clause,[status(thm)],[f2269,f276,f2266,f1431])).
% 2.88/0.78 fof(f2288,plain,(
% 2.88/0.78 ~pd0_0(sk0_20,sk0_21)),
% 2.88/0.78 inference(resolution,[status(thm)],[f160,f148])).
% 2.88/0.78 fof(f2374,plain,(
% 2.88/0.78 $false|~spl0_301),
% 2.88/0.78 inference(forward_subsumption_resolution,[status(thm)],[f2288,f2267])).
% 2.88/0.78 fof(f2375,plain,(
% 2.88/0.78 ~spl0_301),
% 2.88/0.78 inference(contradiction_clause,[status(thm)],[f2374])).
% 2.88/0.78 fof(f2376,plain,(
% 2.88/0.78 $false),
% 2.88/0.78 inference(sat_refutation,[status(thm)],[f244,f259,f285,f514,f671,f1800,f2125,f2258,f2270,f2375])).
% 2.88/0.78 % SZS output end CNFRefutation for theBenchmark.p
% 2.88/0.79 % Elapsed time: 0.433540 seconds
% 2.88/0.79 % CPU time: 3.285495 seconds
% 2.88/0.79 % Total memory used: 81.926 MB
% 2.88/0.79 % Net memory used: 80.768 MB
%------------------------------------------------------------------------------