%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM613+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n020.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 0.10s 0.48s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM613+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n020.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 02:45:33 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.40 % Drodi V4.1.1
% 0.10/0.48 % Refutation found
% 0.10/0.48 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.48 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.48 fof(f26,axiom,(
% 0.10/0.48 (! [W0,W1] :( ( aElementOf0(W0,szNzAzT0)& aElementOf0(W1,szNzAzT0) )=> ( szszuzczcdt0(W0) = szszuzczcdt0(W1)=> W0 = W1 ) ) )),
% 0.10/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.48 fof(f80,hypothesis,(
% 0.10/0.48 ( aElementOf0(xk,szNzAzT0)& szszuzczcdt0(xk) = xK ) ),
% 0.10/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.48 fof(f99,hypothesis,(
% 0.10/0.48 ( aSet0(xQ)& (! [W0] :( aElementOf0(W0,xQ)=> aElementOf0(W0,xO) ))& aSubsetOf0(xQ,xO)& sbrdtbr0(xQ) = xK& aElementOf0(xQ,slbdtsldtrb0(xO,xK)) ) ),
% 0.10/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.48 fof(f109,hypothesis,(
% 0.10/0.48 ( sbrdtbr0(xQ) = szszuzczcdt0(xk)& szszuzczcdt0(sbrdtbr0(xP)) = sbrdtbr0(xQ)& aElementOf0(sbrdtbr0(xP),szNzAzT0) ) ),
% 0.10/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.48 fof(f110,conjecture,(
% 0.10/0.48 sbrdtbr0(xP) = xk ),
% 0.10/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.48 fof(f111,negated_conjecture,(
% 0.10/0.48 ~(sbrdtbr0(xP) = xk )),
% 0.10/0.48 inference(negated_conjecture,[status(cth)],[f110])).
% 0.10/0.48 fof(f194,plain,(
% 0.10/0.48 ![W0,W1]: ((~aElementOf0(W0,szNzAzT0)|~aElementOf0(W1,szNzAzT0))|(~szszuzczcdt0(W0)=szszuzczcdt0(W1)|W0=W1))),
% 0.10/0.48 inference(pre_NNF_transformation,[status(thm)],[f26])).
% 0.10/0.48 fof(f195,plain,(
% 0.10/0.48 ![X0,X1]: (~aElementOf0(X0,szNzAzT0)|~aElementOf0(X1,szNzAzT0)|~szszuzczcdt0(X0)=szszuzczcdt0(X1)|X0=X1)),
% 0.10/0.48 inference(cnf_transformation,[status(thm)],[f194])).
% 0.10/0.48 fof(f406,plain,(
% 0.10/0.48 aElementOf0(xk,szNzAzT0)),
% 0.10/0.48 inference(cnf_transformation,[status(thm)],[f80])).
% 0.10/0.48 fof(f407,plain,(
% 0.10/0.48 szszuzczcdt0(xk)=xK),
% 0.10/0.48 inference(cnf_transformation,[status(thm)],[f80])).
% 0.10/0.48 fof(f599,plain,(
% 0.10/0.48 (((aSet0(xQ)&(![W0]: (~aElementOf0(W0,xQ)|aElementOf0(W0,xO))))&aSubsetOf0(xQ,xO))&sbrdtbr0(xQ)=xK)&aElementOf0(xQ,slbdtsldtrb0(xO,xK))),
% 0.10/0.48 inference(pre_NNF_transformation,[status(thm)],[f99])).
% 0.10/0.48 fof(f603,plain,(
% 0.10/0.48 sbrdtbr0(xQ)=xK),
% 0.10/0.48 inference(cnf_transformation,[status(thm)],[f599])).
% 0.10/0.48 fof(f644,plain,(
% 0.10/0.48 szszuzczcdt0(sbrdtbr0(xP))=sbrdtbr0(xQ)),
% 0.10/0.48 inference(cnf_transformation,[status(thm)],[f109])).
% 0.10/0.48 fof(f645,plain,(
% 0.10/0.48 aElementOf0(sbrdtbr0(xP),szNzAzT0)),
% 0.10/0.48 inference(cnf_transformation,[status(thm)],[f109])).
% 0.10/0.48 fof(f646,plain,(
% 0.10/0.48 ~sbrdtbr0(xP)=xk),
% 0.10/0.48 inference(cnf_transformation,[status(thm)],[f111])).
% 0.10/0.48 fof(f1222,plain,(
% 0.10/0.48 ![X0]: (~aElementOf0(X0,szNzAzT0)|~szszuzczcdt0(X0)=szszuzczcdt0(sbrdtbr0(xP))|X0=sbrdtbr0(xP))),
% 0.10/0.48 inference(resolution,[status(thm)],[f195,f645])).
% 0.10/0.48 fof(f1224,plain,(
% 0.10/0.48 ![X0]: (~aElementOf0(X0,szNzAzT0)|~szszuzczcdt0(X0)=sbrdtbr0(xQ)|X0=sbrdtbr0(xP))),
% 0.10/0.48 inference(forward_demodulation,[status(thm)],[f644,f1222])).
% 0.10/0.48 fof(f1252,plain,(
% 0.10/0.48 ~szszuzczcdt0(xk)=sbrdtbr0(xQ)|xk=sbrdtbr0(xP)),
% 0.10/0.48 inference(resolution,[status(thm)],[f1224,f406])).
% 0.10/0.48 fof(f1254,plain,(
% 0.10/0.48 ~szszuzczcdt0(xk)=sbrdtbr0(xQ)),
% 0.10/0.48 inference(forward_subsumption_resolution,[status(thm)],[f1252,f646])).
% 0.10/0.48 fof(f1414,plain,(
% 0.10/0.48 ~xK=sbrdtbr0(xQ)),
% 0.10/0.48 inference(backward_demodulation,[status(thm)],[f407,f1254])).
% 0.10/0.48 fof(f1713,plain,(
% 0.10/0.48 $false),
% 0.10/0.48 inference(forward_subsumption_resolution,[status(thm)],[f603,f1414])).
% 0.10/0.48 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.49 % Elapsed time: 0.116796 seconds
% 0.10/0.49 % CPU time: 0.573777 seconds
% 0.10/0.49 % Total memory used: 92.039 MB
% 0.10/0.49 % Net memory used: 91.239 MB
%------------------------------------------------------------------------------