TSTP Solution File: NUM607+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : NUM607+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n008.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 12:29:54 EDT 2023
% Result : Theorem 12.28s 1.96s
% Output : CNFRefutation 12.28s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM607+1 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n008.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue May 30 09:58:08 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.20/0.36 % Drodi V3.5.1
% 12.28/1.96 % Refutation found
% 12.28/1.96 % SZS status Theorem for theBenchmark: Theorem is valid
% 12.28/1.96 % SZS output start CNFRefutation for theBenchmark
% 12.28/1.96 fof(f10,definition,(
% 12.28/1.96 (! [W0] :( aSet0(W0)=> (! [W1] :( aSubsetOf0(W1,W0)<=> ( aSet0(W1)& (! [W2] :( aElementOf0(W2,W1)=> aElementOf0(W2,W0) ) )) ) )) )),
% 12.28/1.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.28/1.96 fof(f14,axiom,(
% 12.28/1.96 (! [W0,W1,W2] :( ( aSet0(W0)& aSet0(W1)& aSet0(W2) )=> ( ( aSubsetOf0(W0,W1)& aSubsetOf0(W1,W2) )=> aSubsetOf0(W0,W2) ) ) )),
% 12.28/1.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.28/1.96 fof(f23,axiom,(
% 12.28/1.96 ( aSet0(szNzAzT0)& isCountable0(szNzAzT0) ) ),
% 12.28/1.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.28/1.96 fof(f24,axiom,(
% 12.28/1.96 aElementOf0(sz00,szNzAzT0) ),
% 12.28/1.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.28/1.96 fof(f25,axiom,(
% 12.28/1.96 (! [W0] :( aElementOf0(W0,szNzAzT0)=> ( aElementOf0(szszuzczcdt0(W0),szNzAzT0)& szszuzczcdt0(W0) != sz00 ) ) )),
% 12.28/1.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.28/1.96 fof(f57,definition,(
% 12.28/1.96 (! [W0,W1] :( ( aSet0(W0)& aElementOf0(W1,szNzAzT0) )=> (! [W2] :( W2 = slbdtsldtrb0(W0,W1)<=> ( aSet0(W2)& (! [W3] :( aElementOf0(W3,W2)<=> ( aSubsetOf0(W3,W0)& sbrdtbr0(W3) = W1 ) ) )) ) )) )),
% 12.28/1.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.28/1.96 fof(f64,axiom,(
% 12.28/1.96 (! [W0] :( aFunction0(W0)=> aSet0(szDzozmdt0(W0)) ) )),
% 12.28/1.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.28/1.96 fof(f74,hypothesis,(
% 12.28/1.96 aElementOf0(xK,szNzAzT0) ),
% 12.28/1.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.28/1.96 fof(f75,hypothesis,(
% 12.28/1.96 ( aSubsetOf0(xS,szNzAzT0)& isCountable0(xS) ) ),
% 12.28/1.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.28/1.96 fof(f76,hypothesis,(
% 12.28/1.96 ( aFunction0(xc)& szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)& aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT) ) ),
% 12.28/1.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.28/1.96 fof(f80,hypothesis,(
% 12.28/1.96 ( aElementOf0(xk,szNzAzT0)& szszuzczcdt0(xk) = xK ) ),
% 12.28/1.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.28/1.96 fof(f81,hypothesis,(
% 12.28/1.96 ( aFunction0(xN)& szDzozmdt0(xN) = szNzAzT0& sdtlpdtrp0(xN,sz00) = xS& (! [W0] :( aElementOf0(W0,szNzAzT0)=> ( ( aSubsetOf0(sdtlpdtrp0(xN,W0),szNzAzT0)& isCountable0(sdtlpdtrp0(xN,W0)) )=> ( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(W0)),sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))& isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(W0))) ) ) ) )) ),
% 12.28/1.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.28/1.96 fof(f91,hypothesis,(
% 12.28/1.96 ( aFunction0(xe)& szDzozmdt0(xe) = szNzAzT0& (! [W0] :( aElementOf0(W0,szNzAzT0)=> sdtlpdtrp0(xe,W0) = szmzizndt0(sdtlpdtrp0(xN,W0)) ) )) ),
% 12.28/1.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.28/1.96 fof(f95,hypothesis,(
% 12.28/1.96 ( aSet0(xO)& xO = sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) ),
% 12.28/1.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.28/1.96 fof(f98,hypothesis,(
% 12.28/1.96 aSubsetOf0(xO,xS) ),
% 12.28/1.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.28/1.96 fof(f99,hypothesis,(
% 12.28/1.96 aElementOf0(xQ,slbdtsldtrb0(xO,xK)) ),
% 12.28/1.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.28/1.96 fof(f100,hypothesis,(
% 12.28/1.96 ( aSubsetOf0(xQ,xO)& xQ != slcrc0 ) ),
% 12.28/1.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.28/1.96 fof(f101,hypothesis,(
% 12.28/1.96 aSubsetOf0(xQ,szNzAzT0) ),
% 12.28/1.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.28/1.96 fof(f102,conjecture,(
% 12.28/1.96 aElementOf0(xQ,szDzozmdt0(xc)) ),
% 12.28/1.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.28/1.96 fof(f103,negated_conjecture,(
% 12.28/1.96 ~(aElementOf0(xQ,szDzozmdt0(xc)) )),
% 12.28/1.96 inference(negated_conjecture,[status(cth)],[f102])).
% 12.28/1.96 fof(f128,plain,(
% 12.28/1.96 ![W0]: (~aSet0(W0)|(![W1]: (aSubsetOf0(W1,W0)<=>(aSet0(W1)&(![W2]: (~aElementOf0(W2,W1)|aElementOf0(W2,W0)))))))),
% 12.28/1.96 inference(pre_NNF_transformation,[status(esa)],[f10])).
% 12.28/1.96 fof(f129,plain,(
% 12.28/1.96 ![W0]: (~aSet0(W0)|(![W1]: ((~aSubsetOf0(W1,W0)|(aSet0(W1)&(![W2]: (~aElementOf0(W2,W1)|aElementOf0(W2,W0)))))&(aSubsetOf0(W1,W0)|(~aSet0(W1)|(?[W2]: (aElementOf0(W2,W1)&~aElementOf0(W2,W0))))))))),
% 12.28/1.96 inference(NNF_transformation,[status(esa)],[f128])).
% 12.28/1.96 fof(f130,plain,(
% 12.28/1.96 ![W0]: (~aSet0(W0)|((![W1]: (~aSubsetOf0(W1,W0)|(aSet0(W1)&(![W2]: (~aElementOf0(W2,W1)|aElementOf0(W2,W0))))))&(![W1]: (aSubsetOf0(W1,W0)|(~aSet0(W1)|(?[W2]: (aElementOf0(W2,W1)&~aElementOf0(W2,W0))))))))),
% 12.28/1.96 inference(miniscoping,[status(esa)],[f129])).
% 12.28/1.96 fof(f131,plain,(
% 12.28/1.96 ![W0]: (~aSet0(W0)|((![W1]: (~aSubsetOf0(W1,W0)|(aSet0(W1)&(![W2]: (~aElementOf0(W2,W1)|aElementOf0(W2,W0))))))&(![W1]: (aSubsetOf0(W1,W0)|(~aSet0(W1)|(aElementOf0(sk0_1(W1,W0),W1)&~aElementOf0(sk0_1(W1,W0),W0)))))))),
% 12.28/1.96 inference(skolemization,[status(esa)],[f130])).
% 12.28/1.96 fof(f132,plain,(
% 12.28/1.96 ![X0,X1]: (~aSet0(X0)|~aSubsetOf0(X1,X0)|aSet0(X1))),
% 12.28/1.96 inference(cnf_transformation,[status(esa)],[f131])).
% 12.28/1.96 fof(f142,plain,(
% 12.28/1.96 ![W0,W1,W2]: (((~aSet0(W0)|~aSet0(W1))|~aSet0(W2))|((~aSubsetOf0(W0,W1)|~aSubsetOf0(W1,W2))|aSubsetOf0(W0,W2)))),
% 12.28/1.96 inference(pre_NNF_transformation,[status(esa)],[f14])).
% 12.28/1.96 fof(f143,plain,(
% 12.28/1.96 ![X0,X1,X2]: (~aSet0(X0)|~aSet0(X1)|~aSet0(X2)|~aSubsetOf0(X0,X1)|~aSubsetOf0(X1,X2)|aSubsetOf0(X0,X2))),
% 12.28/1.96 inference(cnf_transformation,[status(esa)],[f142])).
% 12.28/1.96 fof(f180,plain,(
% 12.28/1.96 aSet0(szNzAzT0)),
% 12.28/1.96 inference(cnf_transformation,[status(esa)],[f23])).
% 12.28/1.96 fof(f182,plain,(
% 12.28/1.96 aElementOf0(sz00,szNzAzT0)),
% 12.28/1.96 inference(cnf_transformation,[status(esa)],[f24])).
% 12.28/1.96 fof(f183,plain,(
% 12.28/1.96 ![W0]: (~aElementOf0(W0,szNzAzT0)|(aElementOf0(szszuzczcdt0(W0),szNzAzT0)&~szszuzczcdt0(W0)=sz00))),
% 12.28/1.96 inference(pre_NNF_transformation,[status(esa)],[f25])).
% 12.28/1.96 fof(f184,plain,(
% 12.28/1.96 ![X0]: (~aElementOf0(X0,szNzAzT0)|aElementOf0(szszuzczcdt0(X0),szNzAzT0))),
% 12.28/1.96 inference(cnf_transformation,[status(esa)],[f183])).
% 12.28/1.96 fof(f285,plain,(
% 12.28/1.96 ![W0,W1]: ((~aSet0(W0)|~aElementOf0(W1,szNzAzT0))|(![W2]: (W2=slbdtsldtrb0(W0,W1)<=>(aSet0(W2)&(![W3]: (aElementOf0(W3,W2)<=>(aSubsetOf0(W3,W0)&sbrdtbr0(W3)=W1)))))))),
% 12.28/1.96 inference(pre_NNF_transformation,[status(esa)],[f57])).
% 12.28/1.96 fof(f286,plain,(
% 12.28/1.96 ![W0,W1]: ((~aSet0(W0)|~aElementOf0(W1,szNzAzT0))|(![W2]: ((~W2=slbdtsldtrb0(W0,W1)|(aSet0(W2)&(![W3]: ((~aElementOf0(W3,W2)|(aSubsetOf0(W3,W0)&sbrdtbr0(W3)=W1))&(aElementOf0(W3,W2)|(~aSubsetOf0(W3,W0)|~sbrdtbr0(W3)=W1))))))&(W2=slbdtsldtrb0(W0,W1)|(~aSet0(W2)|(?[W3]: ((~aElementOf0(W3,W2)|(~aSubsetOf0(W3,W0)|~sbrdtbr0(W3)=W1))&(aElementOf0(W3,W2)|(aSubsetOf0(W3,W0)&sbrdtbr0(W3)=W1)))))))))),
% 12.28/1.96 inference(NNF_transformation,[status(esa)],[f285])).
% 12.28/1.96 fof(f287,plain,(
% 12.28/1.96 ![W0,W1]: ((~aSet0(W0)|~aElementOf0(W1,szNzAzT0))|((![W2]: (~W2=slbdtsldtrb0(W0,W1)|(aSet0(W2)&((![W3]: (~aElementOf0(W3,W2)|(aSubsetOf0(W3,W0)&sbrdtbr0(W3)=W1)))&(![W3]: (aElementOf0(W3,W2)|(~aSubsetOf0(W3,W0)|~sbrdtbr0(W3)=W1)))))))&(![W2]: (W2=slbdtsldtrb0(W0,W1)|(~aSet0(W2)|(?[W3]: ((~aElementOf0(W3,W2)|(~aSubsetOf0(W3,W0)|~sbrdtbr0(W3)=W1))&(aElementOf0(W3,W2)|(aSubsetOf0(W3,W0)&sbrdtbr0(W3)=W1)))))))))),
% 12.28/1.96 inference(miniscoping,[status(esa)],[f286])).
% 12.28/1.96 fof(f288,plain,(
% 12.28/1.96 ![W0,W1]: ((~aSet0(W0)|~aElementOf0(W1,szNzAzT0))|((![W2]: (~W2=slbdtsldtrb0(W0,W1)|(aSet0(W2)&((![W3]: (~aElementOf0(W3,W2)|(aSubsetOf0(W3,W0)&sbrdtbr0(W3)=W1)))&(![W3]: (aElementOf0(W3,W2)|(~aSubsetOf0(W3,W0)|~sbrdtbr0(W3)=W1)))))))&(![W2]: (W2=slbdtsldtrb0(W0,W1)|(~aSet0(W2)|((~aElementOf0(sk0_10(W2,W1,W0),W2)|(~aSubsetOf0(sk0_10(W2,W1,W0),W0)|~sbrdtbr0(sk0_10(W2,W1,W0))=W1))&(aElementOf0(sk0_10(W2,W1,W0),W2)|(aSubsetOf0(sk0_10(W2,W1,W0),W0)&sbrdtbr0(sk0_10(W2,W1,W0))=W1))))))))),
% 12.28/1.96 inference(skolemization,[status(esa)],[f287])).
% 12.28/1.96 fof(f291,plain,(
% 12.28/1.96 ![X0,X1,X2,X3]: (~aSet0(X0)|~aElementOf0(X1,szNzAzT0)|~X2=slbdtsldtrb0(X0,X1)|~aElementOf0(X3,X2)|sbrdtbr0(X3)=X1)),
% 12.28/1.96 inference(cnf_transformation,[status(esa)],[f288])).
% 12.28/1.96 fof(f292,plain,(
% 12.28/1.96 ![X0,X1,X2,X3]: (~aSet0(X0)|~aElementOf0(X1,szNzAzT0)|~X2=slbdtsldtrb0(X0,X1)|aElementOf0(X3,X2)|~aSubsetOf0(X3,X0)|~sbrdtbr0(X3)=X1)),
% 12.28/1.96 inference(cnf_transformation,[status(esa)],[f288])).
% 12.28/1.96 fof(f312,plain,(
% 12.28/1.96 ![W0]: (~aFunction0(W0)|aSet0(szDzozmdt0(W0)))),
% 12.28/1.96 inference(pre_NNF_transformation,[status(esa)],[f64])).
% 12.28/1.96 fof(f313,plain,(
% 12.28/1.96 ![X0]: (~aFunction0(X0)|aSet0(szDzozmdt0(X0)))),
% 12.28/1.96 inference(cnf_transformation,[status(esa)],[f312])).
% 12.28/1.96 fof(f362,plain,(
% 12.28/1.96 aElementOf0(xK,szNzAzT0)),
% 12.28/1.96 inference(cnf_transformation,[status(esa)],[f74])).
% 12.28/1.96 fof(f363,plain,(
% 12.28/1.96 aSubsetOf0(xS,szNzAzT0)),
% 12.28/1.96 inference(cnf_transformation,[status(esa)],[f75])).
% 12.28/1.96 fof(f366,plain,(
% 12.28/1.96 szDzozmdt0(xc)=slbdtsldtrb0(xS,xK)),
% 12.28/1.96 inference(cnf_transformation,[status(esa)],[f76])).
% 12.28/1.96 fof(f376,plain,(
% 12.28/1.96 aElementOf0(xk,szNzAzT0)),
% 12.28/1.96 inference(cnf_transformation,[status(esa)],[f80])).
% 12.28/1.96 fof(f377,plain,(
% 12.28/1.96 szszuzczcdt0(xk)=xK),
% 12.28/1.96 inference(cnf_transformation,[status(esa)],[f80])).
% 12.28/1.96 fof(f378,plain,(
% 12.28/1.96 ((aFunction0(xN)&szDzozmdt0(xN)=szNzAzT0)&sdtlpdtrp0(xN,sz00)=xS)&(![W0]: (~aElementOf0(W0,szNzAzT0)|((~aSubsetOf0(sdtlpdtrp0(xN,W0),szNzAzT0)|~isCountable0(sdtlpdtrp0(xN,W0)))|(aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(W0)),sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))&isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(W0)))))))),
% 12.28/1.96 inference(pre_NNF_transformation,[status(esa)],[f81])).
% 12.28/1.96 fof(f380,plain,(
% 12.28/1.96 szDzozmdt0(xN)=szNzAzT0),
% 12.28/1.96 inference(cnf_transformation,[status(esa)],[f378])).
% 12.28/1.96 fof(f413,plain,(
% 12.28/1.96 (aFunction0(xe)&szDzozmdt0(xe)=szNzAzT0)&(![W0]: (~aElementOf0(W0,szNzAzT0)|sdtlpdtrp0(xe,W0)=szmzizndt0(sdtlpdtrp0(xN,W0))))),
% 12.28/1.96 inference(pre_NNF_transformation,[status(esa)],[f91])).
% 12.28/1.96 fof(f414,plain,(
% 12.28/1.96 aFunction0(xe)),
% 12.28/1.96 inference(cnf_transformation,[status(esa)],[f413])).
% 12.28/1.96 fof(f415,plain,(
% 12.28/1.96 szDzozmdt0(xe)=szNzAzT0),
% 12.28/1.96 inference(cnf_transformation,[status(esa)],[f413])).
% 12.28/1.96 fof(f424,plain,(
% 12.28/1.96 aSet0(xO)),
% 12.28/1.96 inference(cnf_transformation,[status(esa)],[f95])).
% 12.28/1.96 fof(f433,plain,(
% 12.28/1.96 aSubsetOf0(xO,xS)),
% 12.28/1.96 inference(cnf_transformation,[status(esa)],[f98])).
% 12.28/1.96 fof(f434,plain,(
% 12.28/1.96 aElementOf0(xQ,slbdtsldtrb0(xO,xK))),
% 12.28/1.96 inference(cnf_transformation,[status(esa)],[f99])).
% 12.28/1.96 fof(f435,plain,(
% 12.28/1.96 aSubsetOf0(xQ,xO)),
% 12.28/1.96 inference(cnf_transformation,[status(esa)],[f100])).
% 12.28/1.96 fof(f437,plain,(
% 12.28/1.96 aSubsetOf0(xQ,szNzAzT0)),
% 12.28/1.96 inference(cnf_transformation,[status(esa)],[f101])).
% 12.28/1.96 fof(f438,plain,(
% 12.28/1.96 ~aElementOf0(xQ,szDzozmdt0(xc))),
% 12.28/1.96 inference(cnf_transformation,[status(esa)],[f103])).
% 12.28/1.96 fof(f470,plain,(
% 12.28/1.96 ![X0,X1,X2]: (~aSet0(X0)|~aElementOf0(X1,szNzAzT0)|~aElementOf0(X2,slbdtsldtrb0(X0,X1))|sbrdtbr0(X2)=X1)),
% 12.28/1.96 inference(destructive_equality_resolution,[status(esa)],[f291])).
% 12.28/1.96 fof(f471,plain,(
% 12.28/1.96 ![X0,X1]: (~aSet0(X0)|~aElementOf0(sbrdtbr0(X1),szNzAzT0)|aElementOf0(X1,slbdtsldtrb0(X0,sbrdtbr0(X1)))|~aSubsetOf0(X1,X0))),
% 12.28/1.96 inference(destructive_equality_resolution,[status(esa)],[f292])).
% 12.28/1.96 fof(f489,plain,(
% 12.28/1.96 spl0_1 <=> aSet0(szNzAzT0)),
% 12.28/1.96 introduced(split_symbol_definition)).
% 12.28/1.96 fof(f494,plain,(
% 12.28/1.96 spl0_2 <=> aFunction0(xe)),
% 12.28/1.96 introduced(split_symbol_definition)).
% 12.28/1.96 fof(f496,plain,(
% 12.28/1.96 ~aFunction0(xe)|spl0_2),
% 12.28/1.96 inference(component_clause,[status(thm)],[f494])).
% 12.28/1.96 fof(f497,plain,(
% 12.28/1.96 ~aFunction0(xe)|aSet0(szNzAzT0)),
% 12.28/1.96 inference(paramodulation,[status(thm)],[f415,f313])).
% 12.28/1.96 fof(f498,plain,(
% 12.28/1.96 ~spl0_2|spl0_1),
% 12.28/1.96 inference(split_clause,[status(thm)],[f497,f494,f489])).
% 12.28/1.96 fof(f499,plain,(
% 12.28/1.96 $false|spl0_2),
% 12.28/1.96 inference(forward_subsumption_resolution,[status(thm)],[f496,f414])).
% 12.28/1.96 fof(f500,plain,(
% 12.28/1.96 spl0_2),
% 12.28/1.96 inference(contradiction_clause,[status(thm)],[f499])).
% 12.28/1.96 fof(f528,plain,(
% 12.28/1.96 spl0_10 <=> aSet0(xO)),
% 12.28/1.96 introduced(split_symbol_definition)).
% 12.28/1.96 fof(f530,plain,(
% 12.28/1.96 ~aSet0(xO)|spl0_10),
% 12.28/1.96 inference(component_clause,[status(thm)],[f528])).
% 12.28/1.96 fof(f975,plain,(
% 12.28/1.96 spl0_59 <=> aSet0(xS)),
% 12.28/1.96 introduced(split_symbol_definition)).
% 12.28/1.96 fof(f983,plain,(
% 12.28/1.96 $false|spl0_10),
% 12.28/1.96 inference(forward_subsumption_resolution,[status(thm)],[f424,f530])).
% 12.28/1.96 fof(f984,plain,(
% 12.28/1.96 spl0_10),
% 12.28/1.96 inference(contradiction_clause,[status(thm)],[f983])).
% 12.28/1.96 fof(f1802,plain,(
% 12.28/1.96 spl0_161 <=> aElementOf0(xk,szNzAzT0)),
% 12.28/1.96 introduced(split_symbol_definition)).
% 12.28/1.96 fof(f1804,plain,(
% 12.28/1.96 ~aElementOf0(xk,szNzAzT0)|spl0_161),
% 12.28/1.96 inference(component_clause,[status(thm)],[f1802])).
% 12.28/1.96 fof(f1809,plain,(
% 12.28/1.96 spl0_162 <=> aElementOf0(xK,szNzAzT0)),
% 12.28/1.96 introduced(split_symbol_definition)).
% 12.28/1.96 fof(f1812,plain,(
% 12.28/1.96 ~aElementOf0(xk,szNzAzT0)|aElementOf0(xK,szNzAzT0)),
% 12.28/1.96 inference(paramodulation,[status(thm)],[f377,f184])).
% 12.28/1.96 fof(f1813,plain,(
% 12.28/1.96 ~spl0_161|spl0_162),
% 12.28/1.96 inference(split_clause,[status(thm)],[f1812,f1802,f1809])).
% 12.28/1.96 fof(f1814,plain,(
% 12.28/1.96 $false|spl0_161),
% 12.28/1.96 inference(forward_subsumption_resolution,[status(thm)],[f1804,f376])).
% 12.28/1.96 fof(f1815,plain,(
% 12.28/1.96 spl0_161),
% 12.28/1.96 inference(contradiction_clause,[status(thm)],[f1814])).
% 12.28/1.96 fof(f4579,plain,(
% 12.28/1.96 ![X0,X1,X2]: (~aSet0(X0)|~aSet0(X1)|~aSubsetOf0(X2,X0)|~aSubsetOf0(X0,X1)|aSubsetOf0(X2,X1))),
% 12.28/1.96 inference(backward_subsumption_resolution,[status(thm)],[f143,f132])).
% 12.28/1.96 fof(f4580,plain,(
% 12.28/1.96 ![X0,X1,X2]: (~aSet0(X0)|~aSubsetOf0(X1,X2)|~aSubsetOf0(X2,X0)|aSubsetOf0(X1,X0))),
% 12.28/1.96 inference(forward_subsumption_resolution,[status(thm)],[f4579,f132])).
% 12.28/1.96 fof(f4582,plain,(
% 12.28/1.96 ~aSet0(szNzAzT0)|aSet0(xS)),
% 12.28/1.96 inference(resolution,[status(thm)],[f132,f363])).
% 12.28/1.96 fof(f4583,plain,(
% 12.28/1.96 ~spl0_1|spl0_59),
% 12.28/1.96 inference(split_clause,[status(thm)],[f4582,f489,f975])).
% 12.28/1.96 fof(f6957,plain,(
% 12.28/1.96 spl0_603 <=> sbrdtbr0(xQ)=xK),
% 12.28/1.96 introduced(split_symbol_definition)).
% 12.28/1.96 fof(f6958,plain,(
% 12.28/1.96 sbrdtbr0(xQ)=xK|~spl0_603),
% 12.28/1.96 inference(component_clause,[status(thm)],[f6957])).
% 12.28/1.96 fof(f6960,plain,(
% 12.28/1.96 ~aSet0(xO)|~aElementOf0(xK,szNzAzT0)|sbrdtbr0(xQ)=xK),
% 12.28/1.96 inference(resolution,[status(thm)],[f470,f434])).
% 12.28/1.96 fof(f6961,plain,(
% 12.28/1.96 ~spl0_10|~spl0_162|spl0_603),
% 12.28/1.96 inference(split_clause,[status(thm)],[f6960,f528,f1809,f6957])).
% 12.28/1.96 fof(f7050,plain,(
% 12.28/1.96 spl0_619 <=> ~aSet0(X0)|aElementOf0(xQ,slbdtsldtrb0(X0,xK))|~aSubsetOf0(xQ,X0)),
% 12.28/1.96 introduced(split_symbol_definition)).
% 12.28/1.96 fof(f7051,plain,(
% 12.28/1.96 ![X0]: (~aSet0(X0)|aElementOf0(xQ,slbdtsldtrb0(X0,xK))|~aSubsetOf0(xQ,X0)|~spl0_619)),
% 12.28/1.96 inference(component_clause,[status(thm)],[f7050])).
% 12.28/1.96 fof(f7053,plain,(
% 12.28/1.96 spl0_620 <=> aElementOf0(sbrdtbr0(xQ),szNzAzT0)),
% 12.28/1.96 introduced(split_symbol_definition)).
% 12.28/1.96 fof(f7055,plain,(
% 12.28/1.96 ~aElementOf0(sbrdtbr0(xQ),szNzAzT0)|spl0_620),
% 12.28/1.96 inference(component_clause,[status(thm)],[f7053])).
% 12.28/1.96 fof(f7056,plain,(
% 12.28/1.96 ![X0]: (~aSet0(X0)|~aElementOf0(sbrdtbr0(xQ),szNzAzT0)|aElementOf0(xQ,slbdtsldtrb0(X0,xK))|~aSubsetOf0(xQ,X0)|~spl0_603)),
% 12.28/1.96 inference(paramodulation,[status(thm)],[f6958,f471])).
% 12.28/1.96 fof(f7057,plain,(
% 12.28/1.96 spl0_619|~spl0_620|~spl0_603),
% 12.28/1.96 inference(split_clause,[status(thm)],[f7056,f7050,f7053,f6957])).
% 12.28/1.96 fof(f7094,plain,(
% 12.28/1.96 ~aElementOf0(xK,szNzAzT0)|~spl0_603|spl0_620),
% 12.28/1.96 inference(forward_demodulation,[status(thm)],[f6958,f7055])).
% 12.28/1.96 fof(f7095,plain,(
% 12.28/1.96 $false|~spl0_603|spl0_620),
% 12.28/1.96 inference(forward_subsumption_resolution,[status(thm)],[f7094,f362])).
% 12.28/1.96 fof(f7096,plain,(
% 12.28/1.96 ~spl0_603|spl0_620),
% 12.28/1.96 inference(contradiction_clause,[status(thm)],[f7095])).
% 12.28/1.96 fof(f14383,plain,(
% 12.28/1.96 spl0_1423 <=> ~aSet0(X0)|~aSubsetOf0(xQ,X0)|~aSet0(X0)),
% 12.28/1.96 introduced(split_symbol_definition)).
% 12.28/1.96 fof(f14384,plain,(
% 12.28/1.96 ![X0]: (~aSet0(X0)|~aSubsetOf0(xQ,X0)|~aSet0(X0)|~spl0_1423)),
% 12.28/1.96 inference(component_clause,[status(thm)],[f14383])).
% 12.28/1.96 fof(f14398,plain,(
% 12.28/1.96 spl0_1426 <=> aElementOf0(xQ,szDzozmdt0(xc))),
% 12.28/1.96 introduced(split_symbol_definition)).
% 12.28/1.96 fof(f14399,plain,(
% 12.28/1.96 aElementOf0(xQ,szDzozmdt0(xc))|~spl0_1426),
% 12.28/1.96 inference(component_clause,[status(thm)],[f14398])).
% 12.28/1.96 fof(f14401,plain,(
% 12.28/1.96 spl0_1427 <=> aSubsetOf0(xQ,xS)),
% 12.28/1.96 introduced(split_symbol_definition)).
% 12.28/1.96 fof(f14403,plain,(
% 12.28/1.96 ~aSubsetOf0(xQ,xS)|spl0_1427),
% 12.28/1.96 inference(component_clause,[status(thm)],[f14401])).
% 12.28/1.96 fof(f14404,plain,(
% 12.28/1.96 ~aSet0(xS)|aElementOf0(xQ,szDzozmdt0(xc))|~aSubsetOf0(xQ,xS)|~spl0_619),
% 12.28/1.96 inference(paramodulation,[status(thm)],[f366,f7051])).
% 12.28/1.96 fof(f14405,plain,(
% 12.28/1.96 ~spl0_59|spl0_1426|~spl0_1427|~spl0_619),
% 12.28/1.96 inference(split_clause,[status(thm)],[f14404,f975,f14398,f14401,f7050])).
% 12.28/1.96 fof(f14406,plain,(
% 12.28/1.96 $false|~spl0_1426),
% 12.28/1.96 inference(forward_subsumption_resolution,[status(thm)],[f14399,f438])).
% 12.28/1.96 fof(f14407,plain,(
% 12.28/1.96 ~spl0_1426),
% 12.28/1.96 inference(contradiction_clause,[status(thm)],[f14406])).
% 12.28/1.96 fof(f14408,plain,(
% 12.28/1.96 ![X0]: (~aSet0(X0)|~aSubsetOf0(xQ,X0)|~spl0_1423)),
% 12.28/1.96 inference(duplicate_literals_removal,[status(esa)],[f14384])).
% 12.28/1.96 fof(f14570,plain,(
% 12.28/1.96 ~aSet0(szNzAzT0)|~spl0_1423),
% 12.28/1.96 inference(resolution,[status(thm)],[f14408,f437])).
% 12.28/1.96 fof(f14571,plain,(
% 12.28/1.96 $false|~spl0_1423),
% 12.28/1.96 inference(forward_subsumption_resolution,[status(thm)],[f14570,f180])).
% 12.28/1.96 fof(f14572,plain,(
% 12.28/1.96 ~spl0_1423),
% 12.28/1.96 inference(contradiction_clause,[status(thm)],[f14571])).
% 12.28/1.96 fof(f14656,plain,(
% 12.28/1.96 spl0_1463 <=> aElementOf0(sz00,szDzozmdt0(xe))),
% 12.28/1.96 introduced(split_symbol_definition)).
% 12.28/1.96 fof(f14658,plain,(
% 12.28/1.96 ~aElementOf0(sz00,szDzozmdt0(xe))|spl0_1463),
% 12.28/1.96 inference(component_clause,[status(thm)],[f14656])).
% 12.28/1.96 fof(f14674,plain,(
% 12.28/1.96 ~aElementOf0(sz00,szNzAzT0)|spl0_1463),
% 12.28/1.96 inference(forward_demodulation,[status(thm)],[f415,f14658])).
% 12.28/1.97 fof(f14675,plain,(
% 12.28/1.97 $false|spl0_1463),
% 12.28/1.97 inference(forward_subsumption_resolution,[status(thm)],[f14674,f182])).
% 12.28/1.97 fof(f14676,plain,(
% 12.28/1.97 spl0_1463),
% 12.28/1.97 inference(contradiction_clause,[status(thm)],[f14675])).
% 12.28/1.97 fof(f14779,plain,(
% 12.28/1.97 spl0_1481 <=> ~aSubsetOf0(X0,xO)|aSubsetOf0(X0,xS)),
% 12.28/1.97 introduced(split_symbol_definition)).
% 12.28/1.97 fof(f14780,plain,(
% 12.28/1.97 ![X0]: (~aSubsetOf0(X0,xO)|aSubsetOf0(X0,xS)|~spl0_1481)),
% 12.28/1.97 inference(component_clause,[status(thm)],[f14779])).
% 12.28/1.97 fof(f14782,plain,(
% 12.28/1.97 ![X0]: (~aSet0(xS)|~aSubsetOf0(X0,xO)|aSubsetOf0(X0,xS))),
% 12.28/1.97 inference(resolution,[status(thm)],[f4580,f433])).
% 12.28/1.97 fof(f14783,plain,(
% 12.28/1.97 ~spl0_59|spl0_1481),
% 12.28/1.97 inference(split_clause,[status(thm)],[f14782,f975,f14779])).
% 12.28/1.97 fof(f16583,plain,(
% 12.28/1.97 spl0_1710 <=> aElementOf0(xk,szDzozmdt0(xN))),
% 12.28/1.97 introduced(split_symbol_definition)).
% 12.28/1.97 fof(f16585,plain,(
% 12.28/1.97 ~aElementOf0(xk,szDzozmdt0(xN))|spl0_1710),
% 12.28/1.97 inference(component_clause,[status(thm)],[f16583])).
% 12.28/1.97 fof(f16601,plain,(
% 12.28/1.97 ~aElementOf0(xk,szNzAzT0)|spl0_1710),
% 12.28/1.97 inference(forward_demodulation,[status(thm)],[f380,f16585])).
% 12.28/1.97 fof(f16602,plain,(
% 12.28/1.97 $false|spl0_1710),
% 12.28/1.97 inference(forward_subsumption_resolution,[status(thm)],[f16601,f376])).
% 12.28/1.97 fof(f16603,plain,(
% 12.28/1.97 spl0_1710),
% 12.28/1.97 inference(contradiction_clause,[status(thm)],[f16602])).
% 12.28/1.97 fof(f16771,plain,(
% 12.28/1.97 aSubsetOf0(xQ,xS)|~spl0_1481),
% 12.28/1.97 inference(resolution,[status(thm)],[f14780,f435])).
% 12.28/1.97 fof(f16772,plain,(
% 12.28/1.97 $false|spl0_1427|~spl0_1481),
% 12.28/1.97 inference(forward_subsumption_resolution,[status(thm)],[f16771,f14403])).
% 12.28/1.97 fof(f16773,plain,(
% 12.28/1.97 spl0_1427|~spl0_1481),
% 12.28/1.97 inference(contradiction_clause,[status(thm)],[f16772])).
% 12.28/1.97 fof(f16774,plain,(
% 12.28/1.97 $false),
% 12.28/1.97 inference(sat_refutation,[status(thm)],[f498,f500,f984,f1813,f1815,f4583,f6961,f7057,f7096,f14405,f14407,f14572,f14676,f14783,f16603,f16773])).
% 12.28/1.97 % SZS output end CNFRefutation for theBenchmark.p
% 12.80/2.01 % Elapsed time: 1.646411 seconds
% 12.80/2.01 % CPU time: 12.815077 seconds
% 12.80/2.01 % Memory used: 134.258 MB
%------------------------------------------------------------------------------