TSTP Solution File: RNG092+2 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : RNG092+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n023.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 : Wed May 31 12:32:52 EDT 2023
% Result : Theorem 0.15s 0.40s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : RNG092+2 : TPTP v8.1.2. Released v4.0.0.
% 0.05/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.30 % Computer : n023.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Tue May 30 10:54:38 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.15/0.31 % Drodi V3.5.1
% 0.15/0.40 % Refutation found
% 0.15/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.40 fof(f2,axiom,(
% 0.15/0.40 aElement0(sz00) ),
% 0.15/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f3,axiom,(
% 0.15/0.40 aElement0(sz10) ),
% 0.15/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f20,axiom,(
% 0.15/0.40 (! [W0] :( aSet0(W0)=> (! [W1] :( aElementOf0(W1,W0)=> aElement0(W1) ) )) )),
% 0.15/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f24,definition,(
% 0.15/0.40 (! [W0] :( aIdeal0(W0)<=> ( aSet0(W0)& (! [W1] :( aElementOf0(W1,W0)=> ( (! [W2] :( aElementOf0(W2,W0)=> aElementOf0(sdtpldt0(W1,W2),W0) ))& (! [W2] :( aElement0(W2)=> aElementOf0(sdtasdt0(W2,W1),W0) ) )) ) )) ) )),
% 0.15/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f25,hypothesis,(
% 0.15/0.40 ( aSet0(xI)& (! [W0] :( aElementOf0(W0,xI)=> ( (! [W1] :( aElementOf0(W1,xI)=> aElementOf0(sdtpldt0(W0,W1),xI) ))& (! [W1] :( aElement0(W1)=> aElementOf0(sdtasdt0(W1,W0),xI) ) )) ))& aIdeal0(xI)& aSet0(xJ)& (! [W0] :( aElementOf0(W0,xJ)=> ( (! [W1] :( aElementOf0(W1,xJ)=> aElementOf0(sdtpldt0(W0,W1),xJ) ))& (! [W1] :( aElement0(W1)=> aElementOf0(sdtasdt0(W1,W0),xJ) ) )) ))& aIdeal0(xJ) ) ),
% 0.15/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f26,conjecture,(
% 0.15/0.40 ( (! [W0,W1,W2] :( ( ( (? [W3,W4] :( aElementOf0(W3,xI)& aElementOf0(W4,xJ)& sdtpldt0(W3,W4) = W0 ))| aElementOf0(W0,sdtpldt1(xI,xJ)) )& ( (? [W3,W4] :( aElementOf0(W3,xI)& aElementOf0(W4,xJ)& sdtpldt0(W3,W4) = W1 ))| aElementOf0(W1,sdtpldt1(xI,xJ)) )& aElement0(W2) )=> (? [W3,W4] :( aElementOf0(W3,xI)& aElementOf0(W4,xJ)& W0 = sdtpldt0(W3,W4)& (? [W5,W6] :( aElementOf0(W5,xI)& aElementOf0(W6,xJ)& W1 = sdtpldt0(W5,W6)& aElementOf0(sdtpldt0(W3,W5),xI)& aElementOf0(sdtpldt0(W4,W6),xJ)& aElementOf0(sdtasdt0(W2,W3),xI)& aElementOf0(sdtasdt0(W2,W4),xJ)& sdtpldt0(W0,W1) = sdtpldt0(sdtpldt0(W3,W5),sdtpldt0(W4,W6))& (? [W7,W8] :( aElementOf0(W7,xI)& aElementOf0(W8,xJ)& sdtpldt0(W7,W8) = sdtpldt0(W0,W1) ))& aElementOf0(sdtpldt0(W0,W1),sdtpldt1(xI,xJ))& (? [W7,W8] :( aElementOf0(W7,xI)& aElementOf0(W8,xJ)& sdtpldt0(W7,W8) = sdtasdt0(W2,W0) ))& aElementOf0(sdtasdt0(W2,W0),sdtpldt1(xI,xJ)) ) )) )))=> ( ( aSet0(sdtpldt1(xI,xJ))& (! [W0] :( aElementOf0(W0,sdtpldt1(xI,xJ))<=> (? [W1,W2] :( aElementOf0(W1,xI)& aElementOf0(W2,xJ)& sdtpldt0(W1,W2) = W0 ) )) ))=> ( (! [W0] :( aElementOf0(W0,sdtpldt1(xI,xJ))=> ( (! [W1] :( aElementOf0(W1,sdtpldt1(xI,xJ))=> aElementOf0(sdtpldt0(W0,W1),sdtpldt1(xI,xJ)) ))& (! [W1] :( aElement0(W1)=> aElementOf0(sdtasdt0(W1,W0),sdtpldt1(xI,xJ)) ) )) ))| aIdeal0(sdtpldt1(xI,xJ)) ) ) ) ),
% 0.15/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f27,negated_conjecture,(
% 0.15/0.40 ~(( (! [W0,W1,W2] :( ( ( (? [W3,W4] :( aElementOf0(W3,xI)& aElementOf0(W4,xJ)& sdtpldt0(W3,W4) = W0 ))| aElementOf0(W0,sdtpldt1(xI,xJ)) )& ( (? [W3,W4] :( aElementOf0(W3,xI)& aElementOf0(W4,xJ)& sdtpldt0(W3,W4) = W1 ))| aElementOf0(W1,sdtpldt1(xI,xJ)) )& aElement0(W2) )=> (? [W3,W4] :( aElementOf0(W3,xI)& aElementOf0(W4,xJ)& W0 = sdtpldt0(W3,W4)& (? [W5,W6] :( aElementOf0(W5,xI)& aElementOf0(W6,xJ)& W1 = sdtpldt0(W5,W6)& aElementOf0(sdtpldt0(W3,W5),xI)& aElementOf0(sdtpldt0(W4,W6),xJ)& aElementOf0(sdtasdt0(W2,W3),xI)& aElementOf0(sdtasdt0(W2,W4),xJ)& sdtpldt0(W0,W1) = sdtpldt0(sdtpldt0(W3,W5),sdtpldt0(W4,W6))& (? [W7,W8] :( aElementOf0(W7,xI)& aElementOf0(W8,xJ)& sdtpldt0(W7,W8) = sdtpldt0(W0,W1) ))& aElementOf0(sdtpldt0(W0,W1),sdtpldt1(xI,xJ))& (? [W7,W8] :( aElementOf0(W7,xI)& aElementOf0(W8,xJ)& sdtpldt0(W7,W8) = sdtasdt0(W2,W0) ))& aElementOf0(sdtasdt0(W2,W0),sdtpldt1(xI,xJ)) ) )) )))=> ( ( aSet0(sdtpldt1(xI,xJ))& (! [W0] :( aElementOf0(W0,sdtpldt1(xI,xJ))<=> (? [W1,W2] :( aElementOf0(W1,xI)& aElementOf0(W2,xJ)& sdtpldt0(W1,W2) = W0 ) )) ))=> ( (! [W0] :( aElementOf0(W0,sdtpldt1(xI,xJ))=> ( (! [W1] :( aElementOf0(W1,sdtpldt1(xI,xJ))=> aElementOf0(sdtpldt0(W0,W1),sdtpldt1(xI,xJ)) ))& (! [W1] :( aElement0(W1)=> aElementOf0(sdtasdt0(W1,W0),sdtpldt1(xI,xJ)) ) )) ))| aIdeal0(sdtpldt1(xI,xJ)) ) ) ) )),
% 0.15/0.40 inference(negated_conjecture,[status(cth)],[f26])).
% 0.15/0.40 fof(f31,plain,(
% 0.15/0.40 aElement0(sz00)),
% 0.15/0.40 inference(cnf_transformation,[status(esa)],[f2])).
% 0.15/0.40 fof(f32,plain,(
% 0.15/0.40 aElement0(sz10)),
% 0.15/0.40 inference(cnf_transformation,[status(esa)],[f3])).
% 0.15/0.40 fof(f71,plain,(
% 0.15/0.40 ![W0]: (~aSet0(W0)|(![W1]: (~aElementOf0(W1,W0)|aElement0(W1))))),
% 0.15/0.40 inference(pre_NNF_transformation,[status(esa)],[f20])).
% 0.15/0.40 fof(f72,plain,(
% 0.15/0.40 ![X0,X1]: (~aSet0(X0)|~aElementOf0(X1,X0)|aElement0(X1))),
% 0.15/0.40 inference(cnf_transformation,[status(esa)],[f71])).
% 0.15/0.40 fof(f101,plain,(
% 0.15/0.40 ![W0]: (aIdeal0(W0)<=>(aSet0(W0)&(![W1]: (~aElementOf0(W1,W0)|((![W2]: (~aElementOf0(W2,W0)|aElementOf0(sdtpldt0(W1,W2),W0)))&(![W2]: (~aElement0(W2)|aElementOf0(sdtasdt0(W2,W1),W0))))))))),
% 0.15/0.40 inference(pre_NNF_transformation,[status(esa)],[f24])).
% 0.15/0.40 fof(f102,plain,(
% 0.15/0.40 ![W0]: ((~aIdeal0(W0)|(aSet0(W0)&(![W1]: (~aElementOf0(W1,W0)|((![W2]: (~aElementOf0(W2,W0)|aElementOf0(sdtpldt0(W1,W2),W0)))&(![W2]: (~aElement0(W2)|aElementOf0(sdtasdt0(W2,W1),W0))))))))&(aIdeal0(W0)|(~aSet0(W0)|(?[W1]: (aElementOf0(W1,W0)&((?[W2]: (aElementOf0(W2,W0)&~aElementOf0(sdtpldt0(W1,W2),W0)))|(?[W2]: (aElement0(W2)&~aElementOf0(sdtasdt0(W2,W1),W0)))))))))),
% 0.15/0.40 inference(NNF_transformation,[status(esa)],[f101])).
% 0.15/0.40 fof(f103,plain,(
% 0.15/0.40 (![W0]: (~aIdeal0(W0)|(aSet0(W0)&(![W1]: (~aElementOf0(W1,W0)|((![W2]: (~aElementOf0(W2,W0)|aElementOf0(sdtpldt0(W1,W2),W0)))&(![W2]: (~aElement0(W2)|aElementOf0(sdtasdt0(W2,W1),W0)))))))))&(![W0]: (aIdeal0(W0)|(~aSet0(W0)|(?[W1]: (aElementOf0(W1,W0)&((?[W2]: (aElementOf0(W2,W0)&~aElementOf0(sdtpldt0(W1,W2),W0)))|(?[W2]: (aElement0(W2)&~aElementOf0(sdtasdt0(W2,W1),W0)))))))))),
% 0.15/0.40 inference(miniscoping,[status(esa)],[f102])).
% 0.15/0.40 fof(f104,plain,(
% 0.15/0.40 (![W0]: (~aIdeal0(W0)|(aSet0(W0)&(![W1]: (~aElementOf0(W1,W0)|((![W2]: (~aElementOf0(W2,W0)|aElementOf0(sdtpldt0(W1,W2),W0)))&(![W2]: (~aElement0(W2)|aElementOf0(sdtasdt0(W2,W1),W0)))))))))&(![W0]: (aIdeal0(W0)|(~aSet0(W0)|(aElementOf0(sk0_8(W0),W0)&((aElementOf0(sk0_9(W0),W0)&~aElementOf0(sdtpldt0(sk0_8(W0),sk0_9(W0)),W0))|(aElement0(sk0_10(W0))&~aElementOf0(sdtasdt0(sk0_10(W0),sk0_8(W0)),W0)))))))),
% 0.15/0.40 inference(skolemization,[status(esa)],[f103])).
% 0.15/0.40 fof(f108,plain,(
% 0.15/0.40 ![X0]: (aIdeal0(X0)|~aSet0(X0)|aElementOf0(sk0_8(X0),X0))),
% 0.15/0.40 inference(cnf_transformation,[status(esa)],[f104])).
% 0.15/0.40 fof(f113,plain,(
% 0.15/0.40 ((((aSet0(xI)&(![W0]: (~aElementOf0(W0,xI)|((![W1]: (~aElementOf0(W1,xI)|aElementOf0(sdtpldt0(W0,W1),xI)))&(![W1]: (~aElement0(W1)|aElementOf0(sdtasdt0(W1,W0),xI)))))))&aIdeal0(xI))&aSet0(xJ))&(![W0]: (~aElementOf0(W0,xJ)|((![W1]: (~aElementOf0(W1,xJ)|aElementOf0(sdtpldt0(W0,W1),xJ)))&(![W1]: (~aElement0(W1)|aElementOf0(sdtasdt0(W1,W0),xJ)))))))&aIdeal0(xJ)),
% 0.15/0.40 inference(pre_NNF_transformation,[status(esa)],[f25])).
% 0.15/0.40 fof(f118,plain,(
% 0.15/0.40 aSet0(xJ)),
% 0.15/0.40 inference(cnf_transformation,[status(esa)],[f113])).
% 0.15/0.40 fof(f122,plain,(
% 0.15/0.40 ((![W0,W1,W2]: (((((![W3,W4]: ((~aElementOf0(W3,xI)|~aElementOf0(W4,xJ))|~sdtpldt0(W3,W4)=W0))&~aElementOf0(W0,sdtpldt1(xI,xJ)))|((![W3,W4]: ((~aElementOf0(W3,xI)|~aElementOf0(W4,xJ))|~sdtpldt0(W3,W4)=W1))&~aElementOf0(W1,sdtpldt1(xI,xJ))))|~aElement0(W2))|(?[W3,W4]: (((aElementOf0(W3,xI)&aElementOf0(W4,xJ))&W0=sdtpldt0(W3,W4))&(?[W5,W6]: (((((((((((aElementOf0(W5,xI)&aElementOf0(W6,xJ))&W1=sdtpldt0(W5,W6))&aElementOf0(sdtpldt0(W3,W5),xI))&aElementOf0(sdtpldt0(W4,W6),xJ))&aElementOf0(sdtasdt0(W2,W3),xI))&aElementOf0(sdtasdt0(W2,W4),xJ))&sdtpldt0(W0,W1)=sdtpldt0(sdtpldt0(W3,W5),sdtpldt0(W4,W6)))&(?[W7,W8]: ((aElementOf0(W7,xI)&aElementOf0(W8,xJ))&sdtpldt0(W7,W8)=sdtpldt0(W0,W1))))&aElementOf0(sdtpldt0(W0,W1),sdtpldt1(xI,xJ)))&(?[W7,W8]: ((aElementOf0(W7,xI)&aElementOf0(W8,xJ))&sdtpldt0(W7,W8)=sdtasdt0(W2,W0))))&aElementOf0(sdtasdt0(W2,W0),sdtpldt1(xI,xJ))))))))&((aSet0(sdtpldt1(xI,xJ))&(![W0]: (aElementOf0(W0,sdtpldt1(xI,xJ))<=>(?[W1,W2]: ((aElementOf0(W1,xI)&aElementOf0(W2,xJ))&sdtpldt0(W1,W2)=W0)))))&((?[W0]: (aElementOf0(W0,sdtpldt1(xI,xJ))&((?[W1]: (aElementOf0(W1,sdtpldt1(xI,xJ))&~aElementOf0(sdtpldt0(W0,W1),sdtpldt1(xI,xJ))))|(?[W1]: (aElement0(W1)&~aElementOf0(sdtasdt0(W1,W0),sdtpldt1(xI,xJ)))))))&~aIdeal0(sdtpldt1(xI,xJ)))))),
% 0.15/0.40 inference(pre_NNF_transformation,[status(esa)],[f27])).
% 0.15/0.40 fof(f123,plain,(
% 0.15/0.40 ![W0,W1,W2]: (pd0_2(W2,W1,W0)=>((((![W3,W4]: ((~aElementOf0(W3,xI)|~aElementOf0(W4,xJ))|~sdtpldt0(W3,W4)=W0))&~aElementOf0(W0,sdtpldt1(xI,xJ)))|((![W3,W4]: ((~aElementOf0(W3,xI)|~aElementOf0(W4,xJ))|~sdtpldt0(W3,W4)=W1))&~aElementOf0(W1,sdtpldt1(xI,xJ))))|~aElement0(W2)))),
% 0.15/0.40 introduced(predicate_definition,[f122])).
% 0.15/0.40 fof(f124,plain,(
% 0.15/0.40 ![W0,W1]: (pd0_3(W1,W0)=>(aElementOf0(W1,sdtpldt1(xI,xJ))&~aElementOf0(sdtpldt0(W0,W1),sdtpldt1(xI,xJ))))),
% 0.15/0.40 introduced(predicate_definition,[f122])).
% 0.15/0.40 fof(f125,plain,(
% 0.15/0.40 (![W0,W1,W2]: (pd0_2(W2,W1,W0)|(?[W3,W4]: (((aElementOf0(W3,xI)&aElementOf0(W4,xJ))&W0=sdtpldt0(W3,W4))&(?[W5,W6]: (((((((((((aElementOf0(W5,xI)&aElementOf0(W6,xJ))&W1=sdtpldt0(W5,W6))&aElementOf0(sdtpldt0(W3,W5),xI))&aElementOf0(sdtpldt0(W4,W6),xJ))&aElementOf0(sdtasdt0(W2,W3),xI))&aElementOf0(sdtasdt0(W2,W4),xJ))&sdtpldt0(W0,W1)=sdtpldt0(sdtpldt0(W3,W5),sdtpldt0(W4,W6)))&(?[W7,W8]: ((aElementOf0(W7,xI)&aElementOf0(W8,xJ))&sdtpldt0(W7,W8)=sdtpldt0(W0,W1))))&aElementOf0(sdtpldt0(W0,W1),sdtpldt1(xI,xJ)))&(?[W7,W8]: ((aElementOf0(W7,xI)&aElementOf0(W8,xJ))&sdtpldt0(W7,W8)=sdtasdt0(W2,W0))))&aElementOf0(sdtasdt0(W2,W0),sdtpldt1(xI,xJ))))))))&((aSet0(sdtpldt1(xI,xJ))&(![W0]: (aElementOf0(W0,sdtpldt1(xI,xJ))<=>(?[W1,W2]: ((aElementOf0(W1,xI)&aElementOf0(W2,xJ))&sdtpldt0(W1,W2)=W0)))))&((?[W0]: (aElementOf0(W0,sdtpldt1(xI,xJ))&((?[W1]: pd0_3(W1,W0))|(?[W1]: (aElement0(W1)&~aElementOf0(sdtasdt0(W1,W0),sdtpldt1(xI,xJ)))))))&~aIdeal0(sdtpldt1(xI,xJ))))),
% 0.15/0.40 inference(formula_renaming,[status(thm)],[f122,f124,f123])).
% 0.15/0.40 fof(f126,plain,(
% 0.15/0.40 (![W0,W1,W2]: (pd0_2(W2,W1,W0)|(?[W3,W4]: (((aElementOf0(W3,xI)&aElementOf0(W4,xJ))&W0=sdtpldt0(W3,W4))&(?[W5,W6]: (((((((((((aElementOf0(W5,xI)&aElementOf0(W6,xJ))&W1=sdtpldt0(W5,W6))&aElementOf0(sdtpldt0(W3,W5),xI))&aElementOf0(sdtpldt0(W4,W6),xJ))&aElementOf0(sdtasdt0(W2,W3),xI))&aElementOf0(sdtasdt0(W2,W4),xJ))&sdtpldt0(W0,W1)=sdtpldt0(sdtpldt0(W3,W5),sdtpldt0(W4,W6)))&(?[W7,W8]: ((aElementOf0(W7,xI)&aElementOf0(W8,xJ))&sdtpldt0(W7,W8)=sdtpldt0(W0,W1))))&aElementOf0(sdtpldt0(W0,W1),sdtpldt1(xI,xJ)))&(?[W7,W8]: ((aElementOf0(W7,xI)&aElementOf0(W8,xJ))&sdtpldt0(W7,W8)=sdtasdt0(W2,W0))))&aElementOf0(sdtasdt0(W2,W0),sdtpldt1(xI,xJ))))))))&((aSet0(sdtpldt1(xI,xJ))&(![W0]: ((~aElementOf0(W0,sdtpldt1(xI,xJ))|(?[W1,W2]: ((aElementOf0(W1,xI)&aElementOf0(W2,xJ))&sdtpldt0(W1,W2)=W0)))&(aElementOf0(W0,sdtpldt1(xI,xJ))|(![W1,W2]: ((~aElementOf0(W1,xI)|~aElementOf0(W2,xJ))|~sdtpldt0(W1,W2)=W0))))))&((?[W0]: (aElementOf0(W0,sdtpldt1(xI,xJ))&((?[W1]: pd0_3(W1,W0))|(?[W1]: (aElement0(W1)&~aElementOf0(sdtasdt0(W1,W0),sdtpldt1(xI,xJ)))))))&~aIdeal0(sdtpldt1(xI,xJ))))),
% 0.15/0.40 inference(NNF_transformation,[status(esa)],[f125])).
% 0.15/0.40 fof(f127,plain,(
% 0.15/0.40 (![W0,W1,W2]: (pd0_2(W2,W1,W0)|(?[W3,W4]: (((aElementOf0(W3,xI)&aElementOf0(W4,xJ))&W0=sdtpldt0(W3,W4))&(((((?[W5,W6]: (((((((aElementOf0(W5,xI)&aElementOf0(W6,xJ))&W1=sdtpldt0(W5,W6))&aElementOf0(sdtpldt0(W3,W5),xI))&aElementOf0(sdtpldt0(W4,W6),xJ))&aElementOf0(sdtasdt0(W2,W3),xI))&aElementOf0(sdtasdt0(W2,W4),xJ))&sdtpldt0(W0,W1)=sdtpldt0(sdtpldt0(W3,W5),sdtpldt0(W4,W6))))&(?[W7,W8]: ((aElementOf0(W7,xI)&aElementOf0(W8,xJ))&sdtpldt0(W7,W8)=sdtpldt0(W0,W1))))&aElementOf0(sdtpldt0(W0,W1),sdtpldt1(xI,xJ)))&(?[W7,W8]: ((aElementOf0(W7,xI)&aElementOf0(W8,xJ))&sdtpldt0(W7,W8)=sdtasdt0(W2,W0))))&aElementOf0(sdtasdt0(W2,W0),sdtpldt1(xI,xJ)))))))&((aSet0(sdtpldt1(xI,xJ))&((![W0]: (~aElementOf0(W0,sdtpldt1(xI,xJ))|(?[W1,W2]: ((aElementOf0(W1,xI)&aElementOf0(W2,xJ))&sdtpldt0(W1,W2)=W0))))&(![W0]: (aElementOf0(W0,sdtpldt1(xI,xJ))|(![W1,W2]: ((~aElementOf0(W1,xI)|~aElementOf0(W2,xJ))|~sdtpldt0(W1,W2)=W0))))))&((?[W0]: (aElementOf0(W0,sdtpldt1(xI,xJ))&((?[W1]: pd0_3(W1,W0))|(?[W1]: (aElement0(W1)&~aElementOf0(sdtasdt0(W1,W0),sdtpldt1(xI,xJ)))))))&~aIdeal0(sdtpldt1(xI,xJ))))),
% 0.15/0.40 inference(miniscoping,[status(esa)],[f126])).
% 0.15/0.40 fof(f128,plain,(
% 0.15/0.40 (![W0,W1,W2]: (pd0_2(W2,W1,W0)|(((aElementOf0(sk0_11(W2,W1,W0),xI)&aElementOf0(sk0_12(W2,W1,W0),xJ))&W0=sdtpldt0(sk0_11(W2,W1,W0),sk0_12(W2,W1,W0)))&(((((((((((aElementOf0(sk0_13(W2,W1,W0),xI)&aElementOf0(sk0_14(W2,W1,W0),xJ))&W1=sdtpldt0(sk0_13(W2,W1,W0),sk0_14(W2,W1,W0)))&aElementOf0(sdtpldt0(sk0_11(W2,W1,W0),sk0_13(W2,W1,W0)),xI))&aElementOf0(sdtpldt0(sk0_12(W2,W1,W0),sk0_14(W2,W1,W0)),xJ))&aElementOf0(sdtasdt0(W2,sk0_11(W2,W1,W0)),xI))&aElementOf0(sdtasdt0(W2,sk0_12(W2,W1,W0)),xJ))&sdtpldt0(W0,W1)=sdtpldt0(sdtpldt0(sk0_11(W2,W1,W0),sk0_13(W2,W1,W0)),sdtpldt0(sk0_12(W2,W1,W0),sk0_14(W2,W1,W0))))&((aElementOf0(sk0_15(W2,W1,W0),xI)&aElementOf0(sk0_16(W2,W1,W0),xJ))&sdtpldt0(sk0_15(W2,W1,W0),sk0_16(W2,W1,W0))=sdtpldt0(W0,W1)))&aElementOf0(sdtpldt0(W0,W1),sdtpldt1(xI,xJ)))&((aElementOf0(sk0_17(W2,W1,W0),xI)&aElementOf0(sk0_18(W2,W1,W0),xJ))&sdtpldt0(sk0_17(W2,W1,W0),sk0_18(W2,W1,W0))=sdtasdt0(W2,W0)))&aElementOf0(sdtasdt0(W2,W0),sdtpldt1(xI,xJ))))))&((aSet0(sdtpldt1(xI,xJ))&((![W0]: (~aElementOf0(W0,sdtpldt1(xI,xJ))|((aElementOf0(sk0_19(W0),xI)&aElementOf0(sk0_20(W0),xJ))&sdtpldt0(sk0_19(W0),sk0_20(W0))=W0)))&(![W0]: (aElementOf0(W0,sdtpldt1(xI,xJ))|(![W1,W2]: ((~aElementOf0(W1,xI)|~aElementOf0(W2,xJ))|~sdtpldt0(W1,W2)=W0))))))&((aElementOf0(sk0_21,sdtpldt1(xI,xJ))&(pd0_3(sk0_22,sk0_21)|(aElement0(sk0_23)&~aElementOf0(sdtasdt0(sk0_23,sk0_21),sdtpldt1(xI,xJ)))))&~aIdeal0(sdtpldt1(xI,xJ))))),
% 0.15/0.40 inference(skolemization,[status(esa)],[f127])).
% 0.15/0.40 fof(f132,plain,(
% 0.15/0.40 ![X0,X1,X2]: (pd0_2(X0,X1,X2)|aElementOf0(sk0_13(X0,X1,X2),xI))),
% 0.15/0.40 inference(cnf_transformation,[status(esa)],[f128])).
% 0.15/0.40 fof(f133,plain,(
% 0.15/0.40 ![X0,X1,X2]: (pd0_2(X0,X1,X2)|aElementOf0(sk0_14(X0,X1,X2),xJ))),
% 0.15/0.40 inference(cnf_transformation,[status(esa)],[f128])).
% 0.15/0.40 fof(f134,plain,(
% 0.15/0.40 ![X0,X1,X2]: (pd0_2(X0,X1,X2)|X1=sdtpldt0(sk0_13(X0,X1,X2),sk0_14(X0,X1,X2)))),
% 0.15/0.40 inference(cnf_transformation,[status(esa)],[f128])).
% 0.15/0.40 fof(f143,plain,(
% 0.15/0.40 ![X0,X1,X2]: (pd0_2(X0,X1,X2)|aElementOf0(sdtpldt0(X2,X1),sdtpldt1(xI,xJ)))),
% 0.15/0.40 inference(cnf_transformation,[status(esa)],[f128])).
% 0.15/0.40 fof(f147,plain,(
% 0.15/0.40 ![X0,X1,X2]: (pd0_2(X0,X1,X2)|aElementOf0(sdtasdt0(X0,X2),sdtpldt1(xI,xJ)))),
% 0.15/0.40 inference(cnf_transformation,[status(esa)],[f128])).
% 0.15/0.40 fof(f148,plain,(
% 0.15/0.40 aSet0(sdtpldt1(xI,xJ))),
% 0.15/0.40 inference(cnf_transformation,[status(esa)],[f128])).
% 0.15/0.40 fof(f150,plain,(
% 0.15/0.40 ![X0]: (~aElementOf0(X0,sdtpldt1(xI,xJ))|aElementOf0(sk0_20(X0),xJ))),
% 0.15/0.40 inference(cnf_transformation,[status(esa)],[f128])).
% 0.15/0.40 fof(f153,plain,(
% 0.15/0.40 aElementOf0(sk0_21,sdtpldt1(xI,xJ))),
% 0.15/0.40 inference(cnf_transformation,[status(esa)],[f128])).
% 0.15/0.40 fof(f154,plain,(
% 0.15/0.40 pd0_3(sk0_22,sk0_21)|aElement0(sk0_23)),
% 0.15/0.40 inference(cnf_transformation,[status(esa)],[f128])).
% 0.15/0.40 fof(f155,plain,(
% 0.15/0.40 pd0_3(sk0_22,sk0_21)|~aElementOf0(sdtasdt0(sk0_23,sk0_21),sdtpldt1(xI,xJ))),
% 0.15/0.40 inference(cnf_transformation,[status(esa)],[f128])).
% 0.15/0.40 fof(f156,plain,(
% 0.15/0.40 ~aIdeal0(sdtpldt1(xI,xJ))),
% 0.15/0.40 inference(cnf_transformation,[status(esa)],[f128])).
% 0.15/0.40 fof(f166,plain,(
% 0.15/0.40 ![W0,W1,W2]: (~pd0_2(W2,W1,W0)|((((![W3,W4]: ((~aElementOf0(W3,xI)|~aElementOf0(W4,xJ))|~sdtpldt0(W3,W4)=W0))&~aElementOf0(W0,sdtpldt1(xI,xJ)))|((![W3,W4]: ((~aElementOf0(W3,xI)|~aElementOf0(W4,xJ))|~sdtpldt0(W3,W4)=W1))&~aElementOf0(W1,sdtpldt1(xI,xJ))))|~aElement0(W2)))),
% 0.15/0.40 inference(pre_NNF_transformation,[status(esa)],[f123])).
% 0.15/0.40 fof(f167,plain,(
% 0.15/0.40 ![W0]: (pd0_4(W0)=>((![W3,W4]: ((~aElementOf0(W3,xI)|~aElementOf0(W4,xJ))|~sdtpldt0(W3,W4)=W0))&~aElementOf0(W0,sdtpldt1(xI,xJ))))),
% 0.15/0.40 introduced(predicate_definition,[f166])).
% 0.15/0.40 fof(f168,plain,(
% 0.15/0.40 ![W0,W1,W2]: (~pd0_2(W2,W1,W0)|((pd0_4(W0)|((![W3,W4]: ((~aElementOf0(W3,xI)|~aElementOf0(W4,xJ))|~sdtpldt0(W3,W4)=W1))&~aElementOf0(W1,sdtpldt1(xI,xJ))))|~aElement0(W2)))),
% 0.15/0.40 inference(formula_renaming,[status(thm)],[f166,f167])).
% 0.15/0.40 fof(f170,plain,(
% 0.15/0.40 ![X0,X1,X2]: (~pd0_2(X0,X1,X2)|pd0_4(X2)|~aElementOf0(X1,sdtpldt1(xI,xJ))|~aElement0(X0))),
% 0.15/0.40 inference(cnf_transformation,[status(esa)],[f168])).
% 0.15/0.40 fof(f171,plain,(
% 0.15/0.40 ![W0,W1]: (~pd0_3(W1,W0)|(aElementOf0(W1,sdtpldt1(xI,xJ))&~aElementOf0(sdtpldt0(W0,W1),sdtpldt1(xI,xJ))))),
% 0.15/0.40 inference(pre_NNF_transformation,[status(esa)],[f124])).
% 0.15/0.40 fof(f172,plain,(
% 0.15/0.40 ![X0,X1]: (~pd0_3(X0,X1)|aElementOf0(X0,sdtpldt1(xI,xJ)))),
% 0.15/0.40 inference(cnf_transformation,[status(esa)],[f171])).
% 0.15/0.40 fof(f173,plain,(
% 0.15/0.40 ![X0,X1]: (~pd0_3(X0,X1)|~aElementOf0(sdtpldt0(X1,X0),sdtpldt1(xI,xJ)))),
% 0.15/0.40 inference(cnf_transformation,[status(esa)],[f171])).
% 0.15/0.40 fof(f174,plain,(
% 0.15/0.40 ![W0]: (~pd0_4(W0)|((![W3,W4]: ((~aElementOf0(W3,xI)|~aElementOf0(W4,xJ))|~sdtpldt0(W3,W4)=W0))&~aElementOf0(W0,sdtpldt1(xI,xJ))))),
% 0.15/0.40 inference(pre_NNF_transformation,[status(esa)],[f167])).
% 0.15/0.40 fof(f175,plain,(
% 0.15/0.40 ![X0,X1,X2]: (~pd0_4(X0)|~aElementOf0(X1,xI)|~aElementOf0(X2,xJ)|~sdtpldt0(X1,X2)=X0)),
% 0.15/0.40 inference(cnf_transformation,[status(esa)],[f174])).
% 0.15/0.40 fof(f176,plain,(
% 0.15/0.40 ![X0]: (~pd0_4(X0)|~aElementOf0(X0,sdtpldt1(xI,xJ)))),
% 0.15/0.40 inference(cnf_transformation,[status(esa)],[f174])).
% 0.15/0.40 fof(f177,plain,(
% 0.15/0.40 spl0_0 <=> pd0_3(sk0_22,sk0_21)),
% 0.15/0.40 introduced(split_symbol_definition)).
% 0.15/0.40 fof(f178,plain,(
% 0.15/0.40 pd0_3(sk0_22,sk0_21)|~spl0_0),
% 0.15/0.40 inference(component_clause,[status(thm)],[f177])).
% 0.15/0.40 fof(f180,plain,(
% 0.15/0.40 spl0_1 <=> aElement0(sk0_23)),
% 0.15/0.40 introduced(split_symbol_definition)).
% 0.15/0.40 fof(f183,plain,(
% 0.15/0.40 spl0_0|spl0_1),
% 0.15/0.40 inference(split_clause,[status(thm)],[f154,f177,f180])).
% 0.15/0.40 fof(f184,plain,(
% 0.15/0.40 spl0_2 <=> aElementOf0(sdtasdt0(sk0_23,sk0_21),sdtpldt1(xI,xJ))),
% 0.15/0.40 introduced(split_symbol_definition)).
% 0.15/0.40 fof(f186,plain,(
% 0.15/0.40 ~aElementOf0(sdtasdt0(sk0_23,sk0_21),sdtpldt1(xI,xJ))|spl0_2),
% 0.15/0.40 inference(component_clause,[status(thm)],[f184])).
% 0.15/0.40 fof(f187,plain,(
% 0.15/0.40 spl0_0|~spl0_2),
% 0.15/0.40 inference(split_clause,[status(thm)],[f155,f177,f184])).
% 0.15/0.40 fof(f198,plain,(
% 0.15/0.40 ![X0,X1]: (~pd0_4(sdtpldt0(X0,X1))|~aElementOf0(X0,xI)|~aElementOf0(X1,xJ))),
% 0.15/0.40 inference(destructive_equality_resolution,[status(esa)],[f175])).
% 0.15/0.40 fof(f199,plain,(
% 0.15/0.40 ~pd0_4(sk0_21)),
% 0.15/0.40 inference(resolution,[status(thm)],[f176,f153])).
% 0.15/0.40 fof(f210,plain,(
% 0.15/0.40 spl0_5 <=> aSet0(sdtpldt1(xI,xJ))),
% 0.15/0.40 introduced(split_symbol_definition)).
% 0.15/0.40 fof(f212,plain,(
% 0.15/0.40 ~aSet0(sdtpldt1(xI,xJ))|spl0_5),
% 0.15/0.40 inference(component_clause,[status(thm)],[f210])).
% 0.15/0.40 fof(f218,plain,(
% 0.15/0.40 $false|spl0_5),
% 0.15/0.40 inference(forward_subsumption_resolution,[status(thm)],[f212,f148])).
% 0.15/0.40 fof(f219,plain,(
% 0.15/0.40 spl0_5),
% 0.15/0.40 inference(contradiction_clause,[status(thm)],[f218])).
% 0.15/0.40 fof(f234,plain,(
% 0.15/0.40 spl0_9 <=> aSet0(xJ)),
% 0.15/0.40 introduced(split_symbol_definition)).
% 0.15/0.40 fof(f236,plain,(
% 0.15/0.40 ~aSet0(xJ)|spl0_9),
% 0.15/0.40 inference(component_clause,[status(thm)],[f234])).
% 0.15/0.40 fof(f239,plain,(
% 0.15/0.40 $false|spl0_9),
% 0.15/0.40 inference(forward_subsumption_resolution,[status(thm)],[f236,f118])).
% 0.15/0.40 fof(f240,plain,(
% 0.15/0.40 spl0_9),
% 0.15/0.40 inference(contradiction_clause,[status(thm)],[f239])).
% 0.15/0.40 fof(f312,plain,(
% 0.15/0.40 ![X0,X1,X2]: (~pd0_4(X0)|~aElementOf0(sk0_13(X1,X0,X2),xI)|~aElementOf0(sk0_14(X1,X0,X2),xJ)|pd0_2(X1,X0,X2))),
% 0.15/0.40 inference(paramodulation,[status(thm)],[f134,f198])).
% 0.15/0.40 fof(f313,plain,(
% 0.15/0.40 ![X0,X1,X2]: (~pd0_4(X0)|~aElementOf0(sk0_14(X1,X0,X2),xJ)|pd0_2(X1,X0,X2))),
% 0.15/0.40 inference(forward_subsumption_resolution,[status(thm)],[f312,f132])).
% 0.15/0.40 fof(f336,plain,(
% 0.15/0.40 spl0_24 <=> aIdeal0(sdtpldt1(xI,xJ))),
% 0.15/0.40 introduced(split_symbol_definition)).
% 0.15/0.40 fof(f337,plain,(
% 0.15/0.40 aIdeal0(sdtpldt1(xI,xJ))|~spl0_24),
% 0.15/0.40 inference(component_clause,[status(thm)],[f336])).
% 0.15/0.40 fof(f366,plain,(
% 0.15/0.40 ![X0,X1,X2]: (pd0_2(X0,X1,X2)|~pd0_3(X1,X2))),
% 0.15/0.40 inference(resolution,[status(thm)],[f143,f173])).
% 0.15/0.40 fof(f417,plain,(
% 0.15/0.40 spl0_37 <=> aElementOf0(sk0_20(sk0_8(sdtpldt1(xI,xJ))),xJ)),
% 0.15/0.40 introduced(split_symbol_definition)).
% 0.15/0.40 fof(f418,plain,(
% 0.15/0.40 aElementOf0(sk0_20(sk0_8(sdtpldt1(xI,xJ))),xJ)|~spl0_37),
% 0.15/0.40 inference(component_clause,[status(thm)],[f417])).
% 0.15/0.40 fof(f420,plain,(
% 0.15/0.40 aIdeal0(sdtpldt1(xI,xJ))|~aSet0(sdtpldt1(xI,xJ))|aElementOf0(sk0_20(sk0_8(sdtpldt1(xI,xJ))),xJ)),
% 0.15/0.40 inference(resolution,[status(thm)],[f108,f150])).
% 0.15/0.40 fof(f421,plain,(
% 0.15/0.40 spl0_24|~spl0_5|spl0_37),
% 0.15/0.40 inference(split_clause,[status(thm)],[f420,f336,f210,f417])).
% 0.15/0.40 fof(f427,plain,(
% 0.15/0.40 spl0_39 <=> pd0_4(sk0_8(sdtpldt1(xI,xJ)))),
% 0.15/0.40 introduced(split_symbol_definition)).
% 0.15/0.40 fof(f429,plain,(
% 0.15/0.40 ~pd0_4(sk0_8(sdtpldt1(xI,xJ)))|spl0_39),
% 0.15/0.40 inference(component_clause,[status(thm)],[f427])).
% 0.15/0.40 fof(f430,plain,(
% 0.15/0.40 aIdeal0(sdtpldt1(xI,xJ))|~aSet0(sdtpldt1(xI,xJ))|~pd0_4(sk0_8(sdtpldt1(xI,xJ)))),
% 0.15/0.40 inference(resolution,[status(thm)],[f108,f176])).
% 0.15/0.40 fof(f431,plain,(
% 0.15/0.40 spl0_24|~spl0_5|~spl0_39),
% 0.15/0.40 inference(split_clause,[status(thm)],[f430,f336,f210,f427])).
% 0.15/0.40 fof(f437,plain,(
% 0.15/0.40 $false|~spl0_24),
% 0.15/0.40 inference(forward_subsumption_resolution,[status(thm)],[f337,f156])).
% 0.15/0.40 fof(f438,plain,(
% 0.15/0.40 ~spl0_24),
% 0.15/0.40 inference(contradiction_clause,[status(thm)],[f437])).
% 0.15/0.40 fof(f487,plain,(
% 0.15/0.40 spl0_47 <=> aElement0(sz00)),
% 0.15/0.40 introduced(split_symbol_definition)).
% 0.15/0.40 fof(f489,plain,(
% 0.15/0.40 ~aElement0(sz00)|spl0_47),
% 0.15/0.40 inference(component_clause,[status(thm)],[f487])).
% 0.15/0.40 fof(f495,plain,(
% 0.15/0.40 spl0_49 <=> aElement0(sz10)),
% 0.15/0.40 introduced(split_symbol_definition)).
% 0.15/0.40 fof(f497,plain,(
% 0.15/0.40 ~aElement0(sz10)|spl0_49),
% 0.15/0.40 inference(component_clause,[status(thm)],[f495])).
% 0.15/0.40 fof(f507,plain,(
% 0.15/0.40 $false|spl0_49),
% 0.15/0.40 inference(forward_subsumption_resolution,[status(thm)],[f497,f32])).
% 0.15/0.40 fof(f508,plain,(
% 0.15/0.40 spl0_49),
% 0.15/0.40 inference(contradiction_clause,[status(thm)],[f507])).
% 0.15/0.40 fof(f509,plain,(
% 0.15/0.40 $false|spl0_47),
% 0.15/0.40 inference(forward_subsumption_resolution,[status(thm)],[f489,f31])).
% 0.15/0.40 fof(f510,plain,(
% 0.15/0.40 spl0_47),
% 0.15/0.40 inference(contradiction_clause,[status(thm)],[f509])).
% 0.15/0.40 fof(f521,plain,(
% 0.15/0.40 spl0_51 <=> aElement0(sk0_20(sk0_8(sdtpldt1(xI,xJ))))),
% 0.15/0.40 introduced(split_symbol_definition)).
% 0.15/0.40 fof(f522,plain,(
% 0.15/0.40 aElement0(sk0_20(sk0_8(sdtpldt1(xI,xJ))))|~spl0_51),
% 0.15/0.40 inference(component_clause,[status(thm)],[f521])).
% 0.15/0.40 fof(f524,plain,(
% 0.15/0.40 ~aSet0(xJ)|aElement0(sk0_20(sk0_8(sdtpldt1(xI,xJ))))|~spl0_37),
% 0.15/0.40 inference(resolution,[status(thm)],[f418,f72])).
% 0.15/0.40 fof(f525,plain,(
% 0.15/0.40 ~spl0_9|spl0_51|~spl0_37),
% 0.15/0.40 inference(split_clause,[status(thm)],[f524,f234,f521,f417])).
% 0.15/0.40 fof(f536,plain,(
% 0.15/0.40 ![X0,X1,X2]: (~pd0_4(X0)|pd0_2(X1,X0,X2))),
% 0.15/0.40 inference(forward_subsumption_resolution,[status(thm)],[f313,f133])).
% 0.15/0.40 fof(f560,plain,(
% 0.15/0.40 ![X0,X1]: (~pd0_2(X0,sk0_21,X1)|pd0_4(X1)|~aElement0(X0))),
% 0.15/0.40 inference(resolution,[status(thm)],[f170,f153])).
% 0.15/0.40 fof(f561,plain,(
% 0.15/0.40 ![X0,X1,X2,X3]: (~pd0_2(X0,X1,X2)|pd0_4(X2)|~aElement0(X0)|~pd0_3(X1,X3))),
% 0.15/0.40 inference(resolution,[status(thm)],[f170,f172])).
% 0.15/0.40 fof(f565,plain,(
% 0.15/0.40 spl0_59 <=> ~aElement0(X1)),
% 0.15/0.40 introduced(split_symbol_definition)).
% 0.15/0.40 fof(f566,plain,(
% 0.15/0.40 ![X0]: (~aElement0(X0)|~spl0_59)),
% 0.15/0.40 inference(component_clause,[status(thm)],[f565])).
% 0.15/0.40 fof(f570,plain,(
% 0.15/0.40 spl0_60 <=> pd0_4(X0)),
% 0.15/0.40 introduced(split_symbol_definition)).
% 0.15/0.40 fof(f571,plain,(
% 0.15/0.40 ![X0]: (pd0_4(X0)|~spl0_60)),
% 0.15/0.40 inference(component_clause,[status(thm)],[f570])).
% 0.15/0.40 fof(f614,plain,(
% 0.15/0.40 $false|~spl0_59|~spl0_51),
% 0.15/0.40 inference(backward_subsumption_resolution,[status(thm)],[f522,f566])).
% 0.15/0.40 fof(f615,plain,(
% 0.15/0.40 ~spl0_59|~spl0_51),
% 0.15/0.40 inference(contradiction_clause,[status(thm)],[f614])).
% 0.15/0.40 fof(f620,plain,(
% 0.15/0.40 $false|~spl0_60|spl0_39),
% 0.15/0.40 inference(backward_subsumption_resolution,[status(thm)],[f429,f571])).
% 0.15/0.40 fof(f621,plain,(
% 0.15/0.40 ~spl0_60|spl0_39),
% 0.15/0.40 inference(contradiction_clause,[status(thm)],[f620])).
% 0.15/0.40 fof(f690,plain,(
% 0.15/0.40 spl0_66 <=> pd0_4(sk0_21)),
% 0.15/0.40 introduced(split_symbol_definition)).
% 0.15/0.40 fof(f693,plain,(
% 0.15/0.40 ![X0,X1]: (pd0_4(X0)|~aElement0(X1)|~pd0_4(sk0_21))),
% 0.15/0.40 inference(resolution,[status(thm)],[f560,f536])).
% 0.15/0.40 fof(f694,plain,(
% 0.15/0.40 spl0_60|spl0_59|~spl0_66),
% 0.15/0.40 inference(split_clause,[status(thm)],[f693,f570,f565,f690])).
% 0.15/0.40 fof(f740,plain,(
% 0.15/0.40 spl0_72 <=> pd0_4(X0)|~pd0_3(X2,X3)|~pd0_3(X2,X0)),
% 0.15/0.40 introduced(split_symbol_definition)).
% 0.15/0.40 fof(f741,plain,(
% 0.15/0.40 ![X0,X1,X2]: (pd0_4(X0)|~pd0_3(X1,X2)|~pd0_3(X1,X0)|~spl0_72)),
% 0.15/0.40 inference(component_clause,[status(thm)],[f740])).
% 0.15/0.40 fof(f743,plain,(
% 0.15/0.40 ![X0,X1,X2,X3]: (pd0_4(X0)|~aElement0(X1)|~pd0_3(X2,X3)|~pd0_3(X2,X0))),
% 0.15/0.40 inference(resolution,[status(thm)],[f561,f366])).
% 0.15/0.40 fof(f744,plain,(
% 0.15/0.40 spl0_72|spl0_59),
% 0.15/0.40 inference(split_clause,[status(thm)],[f743,f740,f565])).
% 0.15/0.40 fof(f786,plain,(
% 0.15/0.40 ![X0]: (pd0_4(X0)|~pd0_3(sk0_22,X0)|~spl0_72|~spl0_0)),
% 0.15/0.40 inference(resolution,[status(thm)],[f741,f178])).
% 0.15/0.40 fof(f787,plain,(
% 0.15/0.40 pd0_4(sk0_21)|~spl0_72|~spl0_0),
% 0.15/0.40 inference(resolution,[status(thm)],[f786,f178])).
% 0.15/0.40 fof(f788,plain,(
% 0.15/0.40 $false|~spl0_72|~spl0_0),
% 0.15/0.40 inference(forward_subsumption_resolution,[status(thm)],[f787,f199])).
% 0.15/0.40 fof(f789,plain,(
% 0.15/0.40 ~spl0_72|~spl0_0),
% 0.15/0.40 inference(contradiction_clause,[status(thm)],[f788])).
% 0.15/0.40 fof(f790,plain,(
% 0.15/0.40 ![X0]: (pd0_2(sk0_23,X0,sk0_21)|spl0_2)),
% 0.15/0.40 inference(resolution,[status(thm)],[f186,f147])).
% 0.15/0.40 fof(f1042,plain,(
% 0.15/0.40 pd0_4(sk0_21)|~aElement0(sk0_23)|spl0_2),
% 0.15/0.40 inference(resolution,[status(thm)],[f790,f560])).
% 0.15/0.40 fof(f1043,plain,(
% 0.15/0.40 spl0_66|~spl0_1|spl0_2),
% 0.15/0.40 inference(split_clause,[status(thm)],[f1042,f690,f180,f184])).
% 0.15/0.40 fof(f1048,plain,(
% 0.15/0.40 $false),
% 0.15/0.40 inference(sat_refutation,[status(thm)],[f183,f187,f219,f240,f421,f431,f438,f508,f510,f525,f615,f621,f694,f744,f789,f1043])).
% 0.15/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.42 % Elapsed time: 0.109176 seconds
% 0.15/0.42 % CPU time: 0.342581 seconds
% 0.15/0.42 % Memory used: 48.898 MB
%------------------------------------------------------------------------------