%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM576+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 : n004.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 01:43:15 PM UTC 2026
% Result : Theorem 0.10s 0.43s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM576+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 : n004.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 02:41:35 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.39 % Drodi V4.1.1
% 0.10/0.43 % Refutation found
% 0.10/0.43 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.43 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.43 fof(f35,axiom,(
% 0.10/0.43 (! [W0,W1] :( ( aElementOf0(W0,szNzAzT0)& aElementOf0(W1,szNzAzT0) )=> ( ( sdtlseqdt0(W0,W1)& sdtlseqdt0(W1,W0) )=> W0 = W1 ) ) )),
% 0.10/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.43 fof(f37,axiom,(
% 0.10/0.43 (! [W0,W1] :( ( aElementOf0(W0,szNzAzT0)& aElementOf0(W1,szNzAzT0) )=> ( sdtlseqdt0(W0,W1)| sdtlseqdt0(szszuzczcdt0(W1),W0) ) ) )),
% 0.10/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.43 fof(f84,hypothesis,(
% 0.10/0.43 ( aElementOf0(xi,szNzAzT0)& aElementOf0(xj,szNzAzT0) ) ),
% 0.10/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.43 fof(f85,conjecture,(
% 0.10/0.43 ( xi != xj=> ( sdtlseqdt0(szszuzczcdt0(xj),xi)| sdtlseqdt0(szszuzczcdt0(xi),xj) ) ) ),
% 0.10/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.43 fof(f86,negated_conjecture,(
% 0.10/0.43 ~(( xi != xj=> ( sdtlseqdt0(szszuzczcdt0(xj),xi)| sdtlseqdt0(szszuzczcdt0(xi),xj) ) ) )),
% 0.10/0.43 inference(negated_conjecture,[status(cth)],[f85])).
% 0.10/0.43 fof(f191,plain,(
% 0.10/0.43 ![W0,W1]: ((~aElementOf0(W0,szNzAzT0)|~aElementOf0(W1,szNzAzT0))|((~sdtlseqdt0(W0,W1)|~sdtlseqdt0(W1,W0))|W0=W1))),
% 0.10/0.43 inference(pre_NNF_transformation,[status(thm)],[f35])).
% 0.10/0.43 fof(f192,plain,(
% 0.10/0.43 ![X0,X1]: (~aElementOf0(X0,szNzAzT0)|~aElementOf0(X1,szNzAzT0)|~sdtlseqdt0(X0,X1)|~sdtlseqdt0(X1,X0)|X0=X1)),
% 0.10/0.43 inference(cnf_transformation,[status(thm)],[f191])).
% 0.10/0.43 fof(f195,plain,(
% 0.10/0.43 ![W0,W1]: ((~aElementOf0(W0,szNzAzT0)|~aElementOf0(W1,szNzAzT0))|(sdtlseqdt0(W0,W1)|sdtlseqdt0(szszuzczcdt0(W1),W0)))),
% 0.10/0.43 inference(pre_NNF_transformation,[status(thm)],[f37])).
% 0.10/0.43 fof(f196,plain,(
% 0.10/0.43 ![X0,X1]: (~aElementOf0(X0,szNzAzT0)|~aElementOf0(X1,szNzAzT0)|sdtlseqdt0(X0,X1)|sdtlseqdt0(szszuzczcdt0(X1),X0))),
% 0.10/0.43 inference(cnf_transformation,[status(thm)],[f195])).
% 0.10/0.43 fof(f410,plain,(
% 0.10/0.43 aElementOf0(xi,szNzAzT0)),
% 0.10/0.43 inference(cnf_transformation,[status(thm)],[f84])).
% 0.10/0.43 fof(f411,plain,(
% 0.10/0.43 aElementOf0(xj,szNzAzT0)),
% 0.10/0.43 inference(cnf_transformation,[status(thm)],[f84])).
% 0.10/0.43 fof(f412,plain,(
% 0.10/0.43 (~xi=xj&(~sdtlseqdt0(szszuzczcdt0(xj),xi)&~sdtlseqdt0(szszuzczcdt0(xi),xj)))),
% 0.10/0.43 inference(pre_NNF_transformation,[status(thm)],[f86])).
% 0.10/0.43 fof(f413,plain,(
% 0.10/0.43 ~xi=xj),
% 0.10/0.43 inference(cnf_transformation,[status(thm)],[f412])).
% 0.10/0.43 fof(f414,plain,(
% 0.10/0.43 ~sdtlseqdt0(szszuzczcdt0(xj),xi)),
% 0.10/0.43 inference(cnf_transformation,[status(thm)],[f412])).
% 0.10/0.43 fof(f415,plain,(
% 0.10/0.43 ~sdtlseqdt0(szszuzczcdt0(xi),xj)),
% 0.10/0.43 inference(cnf_transformation,[status(thm)],[f412])).
% 0.10/0.43 fof(f560,plain,(
% 0.10/0.43 ![X0]: (~aElementOf0(X0,szNzAzT0)|~sdtlseqdt0(X0,xj)|~sdtlseqdt0(xj,X0)|X0=xj)),
% 0.10/0.43 inference(resolution,[status(thm)],[f192,f411])).
% 0.10/0.43 fof(f572,plain,(
% 0.10/0.43 ![X0]: (~aElementOf0(X0,szNzAzT0)|sdtlseqdt0(X0,xj)|sdtlseqdt0(szszuzczcdt0(xj),X0))),
% 0.10/0.43 inference(resolution,[status(thm)],[f196,f411])).
% 0.10/0.43 fof(f573,plain,(
% 0.10/0.43 ![X0]: (~aElementOf0(X0,szNzAzT0)|sdtlseqdt0(X0,xi)|sdtlseqdt0(szszuzczcdt0(xi),X0))),
% 0.10/0.43 inference(resolution,[status(thm)],[f196,f410])).
% 0.10/0.43 fof(f619,plain,(
% 0.10/0.43 sdtlseqdt0(xi,xj)|sdtlseqdt0(szszuzczcdt0(xj),xi)),
% 0.10/0.43 inference(resolution,[status(thm)],[f572,f410])).
% 0.10/0.43 fof(f620,plain,(
% 0.10/0.43 sdtlseqdt0(xi,xj)),
% 0.10/0.43 inference(forward_subsumption_resolution,[status(thm)],[f619,f414])).
% 0.10/0.43 fof(f621,plain,(
% 0.10/0.43 ~aElementOf0(xi,szNzAzT0)|~sdtlseqdt0(xj,xi)|xi=xj),
% 0.10/0.43 inference(resolution,[status(thm)],[f620,f560])).
% 0.10/0.43 fof(f622,plain,(
% 0.10/0.43 ~sdtlseqdt0(xj,xi)|xi=xj),
% 0.10/0.43 inference(forward_subsumption_resolution,[status(thm)],[f621,f410])).
% 0.10/0.43 fof(f644,plain,(
% 0.10/0.43 ~sdtlseqdt0(xj,xi)),
% 0.10/0.43 inference(forward_subsumption_resolution,[status(thm)],[f622,f413])).
% 0.10/0.43 fof(f654,plain,(
% 0.10/0.43 sdtlseqdt0(xj,xi)|sdtlseqdt0(szszuzczcdt0(xi),xj)),
% 0.10/0.43 inference(resolution,[status(thm)],[f573,f411])).
% 0.10/0.43 fof(f656,plain,(
% 0.10/0.43 sdtlseqdt0(szszuzczcdt0(xi),xj)),
% 0.10/0.43 inference(forward_subsumption_resolution,[status(thm)],[f654,f644])).
% 0.10/0.43 fof(f668,plain,(
% 0.10/0.43 $false),
% 0.10/0.43 inference(forward_subsumption_resolution,[status(thm)],[f656,f415])).
% 0.10/0.43 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.46 % Elapsed time: 0.072893 seconds
% 0.10/0.46 % CPU time: 0.236756 seconds
% 0.10/0.46 % Total memory used: 114.624 MB
% 0.10/0.46 % Net memory used: 114.327 MB
%------------------------------------------------------------------------------