%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM612+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 01:43:21 PM UTC 2026
% Result : Theorem 0.15s 5.88s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM612+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/5.58 % Computer : n008.cluster.edu
% 0.11/5.58 % Model : x86_64 x86_64
% 0.11/5.58 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.58 % Memory : 8046.5625MB
% 0.11/5.58 % OS : Linux 6.8.0-71-generic
% 0.11/5.58 % CPULimit : 300
% 0.11/5.58 % WCLimit : 300
% 0.11/5.58 % DateTime : Mon Sep 21 02:45:30 UTC 2026
% 0.11/5.59 % CPUTime :
% 0.15/5.61 % Drodi V4.1.1
% 0.15/5.88 % Refutation found
% 0.15/5.88 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/5.88 % SZS output start CNFRefutation for theBenchmark
% 0.15/5.88 fof(f11,axiom,(
% 0.15/5.88 (! [W0] :( ( aSet0(W0)& isFinite0(W0) )=> (! [W1] :( aSubsetOf0(W1,W0)=> isFinite0(W1) ) )) )),
% 0.15/5.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/5.88 fof(f41,axiom,(
% 0.15/5.88 (! [W0] :( aSet0(W0)=> ( aElementOf0(sbrdtbr0(W0),szNzAzT0)<=> isFinite0(W0) ) ) )),
% 0.15/5.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/5.88 fof(f44,axiom,(
% 0.15/5.88 (! [W0] :( aSet0(W0)=> (! [W1] :( ( isFinite0(W0)& aElementOf0(W1,W0) )=> szszuzczcdt0(sbrdtbr0(sdtmndt0(W0,W1))) = sbrdtbr0(W0) ) )) )),
% 0.15/5.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/5.88 fof(f74,hypothesis,(
% 0.15/5.88 aElementOf0(xK,szNzAzT0) ),
% 0.15/5.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/5.88 fof(f99,hypothesis,(
% 0.15/5.88 ( aSet0(xQ)& (! [W0] :( aElementOf0(W0,xQ)=> aElementOf0(W0,xO) ))& aSubsetOf0(xQ,xO)& sbrdtbr0(xQ) = xK& aElementOf0(xQ,slbdtsldtrb0(xO,xK)) ) ),
% 0.15/5.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/5.88 fof(f103,hypothesis,(
% 0.15/5.88 ( aElementOf0(xp,xQ)& (! [W0] :( aElementOf0(W0,xQ)=> sdtlseqdt0(xp,W0) ))& xp = szmzizndt0(xQ) ) ),
% 0.15/5.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/5.88 fof(f104,hypothesis,(
% 0.15/5.88 ( aSet0(xP)& (! [W0] :( aElementOf0(W0,xQ)=> sdtlseqdt0(szmzizndt0(xQ),W0) ))& (! [W0] :( aElementOf0(W0,xP)<=> ( aElement0(W0)& aElementOf0(W0,xQ)& W0 != szmzizndt0(xQ) ) ))& xP = sdtmndt0(xQ,szmzizndt0(xQ)) ) ),
% 0.15/5.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/5.88 fof(f107,hypothesis,(
% 0.15/5.88 ( (! [W0] :( aElementOf0(W0,xP)=> aElementOf0(W0,xQ) ))& aSubsetOf0(xP,xQ) ) ),
% 0.15/5.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/5.88 fof(f109,conjecture,(
% 0.15/5.88 ( szszuzczcdt0(sbrdtbr0(xP)) = sbrdtbr0(xQ)& aElementOf0(sbrdtbr0(xP),szNzAzT0) ) ),
% 0.15/5.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/5.88 fof(f110,negated_conjecture,(
% 0.15/5.88 ~(( szszuzczcdt0(sbrdtbr0(xP)) = sbrdtbr0(xQ)& aElementOf0(sbrdtbr0(xP),szNzAzT0) ) )),
% 0.15/5.88 inference(negated_conjecture,[status(cth)],[f109])).
% 0.15/5.88 fof(f143,plain,(
% 0.15/5.88 ![W0]: ((~aSet0(W0)|~isFinite0(W0))|(![W1]: (~aSubsetOf0(W1,W0)|isFinite0(W1))))),
% 0.15/5.88 inference(pre_NNF_transformation,[status(thm)],[f11])).
% 0.15/5.88 fof(f144,plain,(
% 0.15/5.88 ![X0,X1]: (~aSet0(X0)|~isFinite0(X0)|~aSubsetOf0(X1,X0)|isFinite0(X1))),
% 0.15/5.88 inference(cnf_transformation,[status(thm)],[f143])).
% 0.15/5.88 fof(f227,plain,(
% 0.15/5.88 ![W0]: (~aSet0(W0)|(aElementOf0(sbrdtbr0(W0),szNzAzT0)<=>isFinite0(W0)))),
% 0.15/5.88 inference(pre_NNF_transformation,[status(thm)],[f41])).
% 0.15/5.88 fof(f228,plain,(
% 0.15/5.88 ![W0]: (~aSet0(W0)|((~aElementOf0(sbrdtbr0(W0),szNzAzT0)|isFinite0(W0))&(aElementOf0(sbrdtbr0(W0),szNzAzT0)|~isFinite0(W0))))),
% 0.15/5.88 inference(NNF_transformation,[status(thm)],[f227])).
% 0.15/5.88 fof(f229,plain,(
% 0.15/5.88 ![X0]: (~aSet0(X0)|~aElementOf0(sbrdtbr0(X0),szNzAzT0)|isFinite0(X0))),
% 0.15/5.88 inference(cnf_transformation,[status(thm)],[f228])).
% 0.15/5.88 fof(f230,plain,(
% 0.15/5.88 ![X0]: (~aSet0(X0)|aElementOf0(sbrdtbr0(X0),szNzAzT0)|~isFinite0(X0))),
% 0.15/5.88 inference(cnf_transformation,[status(thm)],[f228])).
% 0.15/5.88 fof(f237,plain,(
% 0.15/5.88 ![W0]: (~aSet0(W0)|(![W1]: ((~isFinite0(W0)|~aElementOf0(W1,W0))|szszuzczcdt0(sbrdtbr0(sdtmndt0(W0,W1)))=sbrdtbr0(W0))))),
% 0.15/5.88 inference(pre_NNF_transformation,[status(thm)],[f44])).
% 0.15/5.88 fof(f238,plain,(
% 0.15/5.88 ![X0,X1]: (~aSet0(X0)|~isFinite0(X0)|~aElementOf0(X1,X0)|szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,X1)))=sbrdtbr0(X0))),
% 0.15/5.88 inference(cnf_transformation,[status(thm)],[f237])).
% 0.15/5.88 fof(f369,plain,(
% 0.15/5.88 aElementOf0(xK,szNzAzT0)),
% 0.15/5.88 inference(cnf_transformation,[status(thm)],[f74])).
% 0.15/5.88 fof(f598,plain,(
% 0.15/5.88 (((aSet0(xQ)&(![W0]: (~aElementOf0(W0,xQ)|aElementOf0(W0,xO))))&aSubsetOf0(xQ,xO))&sbrdtbr0(xQ)=xK)&aElementOf0(xQ,slbdtsldtrb0(xO,xK))),
% 0.15/5.88 inference(pre_NNF_transformation,[status(thm)],[f99])).
% 0.15/5.88 fof(f599,plain,(
% 0.15/5.88 aSet0(xQ)),
% 0.15/5.88 inference(cnf_transformation,[status(thm)],[f598])).
% 0.15/5.88 fof(f602,plain,(
% 0.15/5.88 sbrdtbr0(xQ)=xK),
% 0.15/5.88 inference(cnf_transformation,[status(thm)],[f598])).
% 0.15/5.88 fof(f618,plain,(
% 0.15/5.88 (aElementOf0(xp,xQ)&(![W0]: (~aElementOf0(W0,xQ)|sdtlseqdt0(xp,W0))))&xp=szmzizndt0(xQ)),
% 0.15/5.88 inference(pre_NNF_transformation,[status(thm)],[f103])).
% 0.15/5.88 fof(f619,plain,(
% 0.15/5.88 aElementOf0(xp,xQ)),
% 0.15/5.88 inference(cnf_transformation,[status(thm)],[f618])).
% 0.15/5.88 fof(f621,plain,(
% 0.15/5.88 xp=szmzizndt0(xQ)),
% 0.15/5.88 inference(cnf_transformation,[status(thm)],[f618])).
% 0.15/5.88 fof(f622,plain,(
% 0.15/5.88 ((aSet0(xP)&(![W0]: (~aElementOf0(W0,xQ)|sdtlseqdt0(szmzizndt0(xQ),W0))))&(![W0]: (aElementOf0(W0,xP)<=>((aElement0(W0)&aElementOf0(W0,xQ))&~W0=szmzizndt0(xQ)))))&xP=sdtmndt0(xQ,szmzizndt0(xQ))),
% 0.15/5.88 inference(pre_NNF_transformation,[status(thm)],[f104])).
% 0.15/5.88 fof(f623,plain,(
% 0.15/5.88 ((aSet0(xP)&(![W0]: (~aElementOf0(W0,xQ)|sdtlseqdt0(szmzizndt0(xQ),W0))))&(![W0]: ((~aElementOf0(W0,xP)|((aElement0(W0)&aElementOf0(W0,xQ))&~W0=szmzizndt0(xQ)))&(aElementOf0(W0,xP)|((~aElement0(W0)|~aElementOf0(W0,xQ))|W0=szmzizndt0(xQ))))))&xP=sdtmndt0(xQ,szmzizndt0(xQ))),
% 0.15/5.88 inference(NNF_transformation,[status(thm)],[f622])).
% 0.15/5.88 fof(f624,plain,(
% 0.15/5.88 ((aSet0(xP)&(![W0]: (~aElementOf0(W0,xQ)|sdtlseqdt0(szmzizndt0(xQ),W0))))&((![W0]: (~aElementOf0(W0,xP)|((aElement0(W0)&aElementOf0(W0,xQ))&~W0=szmzizndt0(xQ))))&(![W0]: (aElementOf0(W0,xP)|((~aElement0(W0)|~aElementOf0(W0,xQ))|W0=szmzizndt0(xQ))))))&xP=sdtmndt0(xQ,szmzizndt0(xQ))),
% 0.15/5.88 inference(miniscoping,[status(thm)],[f623])).
% 0.15/5.88 fof(f625,plain,(
% 0.15/5.88 aSet0(xP)),
% 0.15/5.88 inference(cnf_transformation,[status(thm)],[f624])).
% 0.15/5.88 fof(f631,plain,(
% 0.15/5.88 xP=sdtmndt0(xQ,szmzizndt0(xQ))),
% 0.15/5.88 inference(cnf_transformation,[status(thm)],[f624])).
% 0.15/5.88 fof(f636,plain,(
% 0.15/5.88 (![W0]: (~aElementOf0(W0,xP)|aElementOf0(W0,xQ)))&aSubsetOf0(xP,xQ)),
% 0.15/5.88 inference(pre_NNF_transformation,[status(thm)],[f107])).
% 0.15/5.88 fof(f638,plain,(
% 0.15/5.88 aSubsetOf0(xP,xQ)),
% 0.15/5.88 inference(cnf_transformation,[status(thm)],[f636])).
% 0.15/5.88 fof(f642,plain,(
% 0.15/5.88 (~szszuzczcdt0(sbrdtbr0(xP))=sbrdtbr0(xQ)|~aElementOf0(sbrdtbr0(xP),szNzAzT0))),
% 0.15/5.88 inference(pre_NNF_transformation,[status(thm)],[f110])).
% 0.15/5.88 fof(f643,plain,(
% 0.15/5.88 ~szszuzczcdt0(sbrdtbr0(xP))=sbrdtbr0(xQ)|~aElementOf0(sbrdtbr0(xP),szNzAzT0)),
% 0.15/5.88 inference(cnf_transformation,[status(thm)],[f642])).
% 0.15/5.88 fof(f867,plain,(
% 0.15/5.88 ~aSet0(xQ)|~isFinite0(xQ)|isFinite0(xP)),
% 0.15/5.88 inference(resolution,[status(thm)],[f144,f638])).
% 0.15/5.88 fof(f869,plain,(
% 0.15/5.88 ~isFinite0(xQ)|isFinite0(xP)),
% 0.15/5.88 inference(forward_subsumption_resolution,[status(thm)],[f867,f599])).
% 0.15/5.88 fof(f2495,plain,(
% 0.15/5.88 ~szszuzczcdt0(sbrdtbr0(xP))=xK|~aElementOf0(sbrdtbr0(xP),szNzAzT0)),
% 0.15/5.88 inference(backward_demodulation,[status(thm)],[f602,f643])).
% 0.15/5.88 fof(f2498,plain,(
% 0.15/5.88 ~aSet0(xQ)|~aElementOf0(xK,szNzAzT0)|isFinite0(xQ)),
% 0.15/5.88 inference(paramodulation,[status(thm)],[f602,f229])).
% 0.15/5.88 fof(f2501,plain,(
% 0.15/5.88 ~aElementOf0(xK,szNzAzT0)|isFinite0(xQ)),
% 0.15/5.88 inference(forward_subsumption_resolution,[status(thm)],[f2498,f599])).
% 0.15/5.88 fof(f2827,plain,(
% 0.15/5.88 ~aSet0(xQ)|~isFinite0(xQ)|szszuzczcdt0(sbrdtbr0(sdtmndt0(xQ,xp)))=sbrdtbr0(xQ)),
% 0.15/5.88 inference(resolution,[status(thm)],[f619,f238])).
% 0.15/5.88 fof(f2844,plain,(
% 0.15/5.88 ~aSet0(xQ)|~isFinite0(xQ)|szszuzczcdt0(sbrdtbr0(sdtmndt0(xQ,xp)))=xK),
% 0.15/5.88 inference(forward_demodulation,[status(thm)],[f602,f2827])).
% 0.15/5.88 fof(f2845,plain,(
% 0.15/5.88 ~isFinite0(xQ)|szszuzczcdt0(sbrdtbr0(sdtmndt0(xQ,xp)))=xK),
% 0.15/5.88 inference(forward_subsumption_resolution,[status(thm)],[f2844,f599])).
% 0.15/5.88 fof(f2981,plain,(
% 0.15/5.88 xP=sdtmndt0(xQ,xp)),
% 0.15/5.88 inference(backward_demodulation,[status(thm)],[f621,f631])).
% 0.15/5.88 fof(f3924,plain,(
% 0.15/5.88 isFinite0(xP)),
% 0.15/5.88 inference(backward_subsumption_resolution,[status(thm)],[f869,f3925])).
% 0.15/5.88 fof(f3925,plain,(
% 0.15/5.88 isFinite0(xQ)),
% 0.15/5.88 inference(forward_subsumption_resolution,[status(thm)],[f2501,f369])).
% 0.15/5.88 fof(f3986,plain,(
% 0.15/5.88 ~aSet0(xP)|aElementOf0(sbrdtbr0(xP),szNzAzT0)),
% 0.15/5.88 inference(resolution,[status(thm)],[f3924,f230])).
% 0.15/5.88 fof(f3991,plain,(
% 0.15/5.88 aElementOf0(sbrdtbr0(xP),szNzAzT0)),
% 0.15/5.88 inference(forward_subsumption_resolution,[status(thm)],[f3986,f625])).
% 0.15/5.88 fof(f5179,plain,(
% 0.15/5.88 ~isFinite0(xQ)|szszuzczcdt0(sbrdtbr0(xP))=xK),
% 0.15/5.88 inference(forward_demodulation,[status(thm)],[f2981,f2845])).
% 0.15/5.88 fof(f5180,plain,(
% 0.15/5.88 ~xK=xK|~aElementOf0(sbrdtbr0(xP),szNzAzT0)),
% 0.15/5.88 inference(backward_demodulation,[status(thm)],[f5181,f2495])).
% 0.15/5.88 fof(f5181,plain,(
% 0.15/5.88 szszuzczcdt0(sbrdtbr0(xP))=xK),
% 0.15/5.88 inference(forward_subsumption_resolution,[status(thm)],[f5179,f3925])).
% 0.15/5.88 fof(f5192,plain,(
% 0.15/5.88 ~aElementOf0(sbrdtbr0(xP),szNzAzT0)),
% 0.15/5.88 inference(trivial_equality_resolution,[status(thm)],[f5180])).
% 0.15/5.88 fof(f6222,plain,(
% 0.15/5.88 $false),
% 0.15/5.88 inference(forward_subsumption_resolution,[status(thm)],[f3991,f5192])).
% 0.15/5.89 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/5.91 % Elapsed time: 0.307257 seconds
% 0.15/5.91 % CPU time: 2.121839 seconds
% 0.15/5.91 % Total memory used: 155.624 MB
% 0.15/5.91 % Net memory used: 152.688 MB
%------------------------------------------------------------------------------