%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM576+1 : 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 : n006.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 0.09s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM576+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n006.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 02:41:43 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 0.09/0.41 % Refutation found
% 0.09/0.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.41 fof(f35,axiom,(
% 0.09/0.41 (! [W0,W1] :( ( aElementOf0(W0,szNzAzT0)& aElementOf0(W1,szNzAzT0) )=> ( ( sdtlseqdt0(W0,W1)& sdtlseqdt0(W1,W0) )=> W0 = W1 ) ) )),
% 0.09/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f37,axiom,(
% 0.09/0.41 (! [W0,W1] :( ( aElementOf0(W0,szNzAzT0)& aElementOf0(W1,szNzAzT0) )=> ( sdtlseqdt0(W0,W1)| sdtlseqdt0(szszuzczcdt0(W1),W0) ) ) )),
% 0.09/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f84,hypothesis,(
% 0.09/0.41 ( aElementOf0(xi,szNzAzT0)& aElementOf0(xj,szNzAzT0) ) ),
% 0.09/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f85,conjecture,(
% 0.09/0.41 ( xi != xj=> ( sdtlseqdt0(szszuzczcdt0(xj),xi)| sdtlseqdt0(szszuzczcdt0(xi),xj) ) ) ),
% 0.09/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f86,negated_conjecture,(
% 0.09/0.41 ~(( xi != xj=> ( sdtlseqdt0(szszuzczcdt0(xj),xi)| sdtlseqdt0(szszuzczcdt0(xi),xj) ) ) )),
% 0.09/0.41 inference(negated_conjecture,[status(cth)],[f85])).
% 0.09/0.41 fof(f191,plain,(
% 0.09/0.41 ![W0,W1]: ((~aElementOf0(W0,szNzAzT0)|~aElementOf0(W1,szNzAzT0))|((~sdtlseqdt0(W0,W1)|~sdtlseqdt0(W1,W0))|W0=W1))),
% 0.09/0.41 inference(pre_NNF_transformation,[status(thm)],[f35])).
% 0.09/0.41 fof(f192,plain,(
% 0.09/0.41 ![X0,X1]: (~aElementOf0(X0,szNzAzT0)|~aElementOf0(X1,szNzAzT0)|~sdtlseqdt0(X0,X1)|~sdtlseqdt0(X1,X0)|X0=X1)),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f191])).
% 0.09/0.41 fof(f195,plain,(
% 0.09/0.41 ![W0,W1]: ((~aElementOf0(W0,szNzAzT0)|~aElementOf0(W1,szNzAzT0))|(sdtlseqdt0(W0,W1)|sdtlseqdt0(szszuzczcdt0(W1),W0)))),
% 0.09/0.41 inference(pre_NNF_transformation,[status(thm)],[f37])).
% 0.09/0.41 fof(f196,plain,(
% 0.09/0.41 ![X0,X1]: (~aElementOf0(X0,szNzAzT0)|~aElementOf0(X1,szNzAzT0)|sdtlseqdt0(X0,X1)|sdtlseqdt0(szszuzczcdt0(X1),X0))),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f195])).
% 0.09/0.41 fof(f372,plain,(
% 0.09/0.41 aElementOf0(xi,szNzAzT0)),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f84])).
% 0.09/0.41 fof(f373,plain,(
% 0.09/0.41 aElementOf0(xj,szNzAzT0)),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f84])).
% 0.09/0.41 fof(f374,plain,(
% 0.09/0.41 (~xi=xj&(~sdtlseqdt0(szszuzczcdt0(xj),xi)&~sdtlseqdt0(szszuzczcdt0(xi),xj)))),
% 0.09/0.41 inference(pre_NNF_transformation,[status(thm)],[f86])).
% 0.09/0.41 fof(f375,plain,(
% 0.09/0.41 ~xi=xj),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f374])).
% 0.09/0.41 fof(f376,plain,(
% 0.09/0.41 ~sdtlseqdt0(szszuzczcdt0(xj),xi)),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f374])).
% 0.09/0.41 fof(f377,plain,(
% 0.09/0.41 ~sdtlseqdt0(szszuzczcdt0(xi),xj)),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f374])).
% 0.09/0.41 fof(f526,plain,(
% 0.09/0.41 ~aElementOf0(xj,szNzAzT0)|~aElementOf0(xi,szNzAzT0)|sdtlseqdt0(xj,xi)),
% 0.09/0.41 inference(resolution,[status(thm)],[f196,f377])).
% 0.09/0.41 fof(f527,plain,(
% 0.09/0.41 ~aElementOf0(xi,szNzAzT0)|~aElementOf0(xj,szNzAzT0)|sdtlseqdt0(xi,xj)),
% 0.09/0.41 inference(resolution,[status(thm)],[f196,f376])).
% 0.09/0.41 fof(f531,definition,(
% 0.09/0.41 sQ11_spl <=> (aElementOf0(xj,szNzAzT0))),
% 0.09/0.41 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.09/0.41 fof(f533,plain,(
% 0.09/0.41 ~aElementOf0(xj,szNzAzT0)|sQ11_spl),
% 0.09/0.41 inference(component_clause,[status(thm)],[f531])).
% 0.09/0.41 fof(f534,definition,(
% 0.09/0.41 sQ12_spl <=> (aElementOf0(xi,szNzAzT0))),
% 0.09/0.41 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.09/0.41 fof(f536,plain,(
% 0.09/0.41 ~aElementOf0(xi,szNzAzT0)|sQ12_spl),
% 0.09/0.41 inference(component_clause,[status(thm)],[f534])).
% 0.09/0.41 fof(f537,definition,(
% 0.09/0.41 sQ13_spl <=> (sdtlseqdt0(xj,xi))),
% 0.09/0.41 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.09/0.41 fof(f538,plain,(
% 0.09/0.41 sdtlseqdt0(xj,xi)|~sQ13_spl),
% 0.09/0.41 inference(component_clause,[status(thm)],[f537])).
% 0.09/0.41 fof(f540,plain,(
% 0.09/0.41 ~sQ11_spl|~sQ12_spl|sQ13_spl),
% 0.09/0.41 inference(split_clause,[status(thm)],[f526,f531,f534,f537])).
% 0.09/0.41 fof(f541,definition,(
% 0.09/0.41 sQ14_spl <=> (sdtlseqdt0(xi,xj))),
% 0.09/0.41 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.09/0.41 fof(f544,plain,(
% 0.09/0.41 ~sQ12_spl|~sQ11_spl|sQ14_spl),
% 0.09/0.41 inference(split_clause,[status(thm)],[f527,f534,f531,f541])).
% 0.09/0.41 fof(f550,plain,(
% 0.09/0.41 $false|sQ11_spl),
% 0.09/0.41 inference(forward_subsumption_resolution,[status(thm)],[f533,f373])).
% 0.09/0.41 fof(f551,plain,(
% 0.09/0.41 sQ11_spl),
% 0.09/0.41 inference(contradiction_clause,[status(thm)],[f550])).
% 0.09/0.41 fof(f552,plain,(
% 0.09/0.41 $false|sQ12_spl),
% 0.09/0.41 inference(forward_subsumption_resolution,[status(thm)],[f536,f372])).
% 0.09/0.41 fof(f553,plain,(
% 0.09/0.41 sQ12_spl),
% 0.09/0.41 inference(contradiction_clause,[status(thm)],[f552])).
% 0.09/0.41 fof(f555,plain,(
% 0.09/0.41 ~aElementOf0(xi,szNzAzT0)|~aElementOf0(xj,szNzAzT0)|~sdtlseqdt0(xi,xj)|xi=xj|~sQ13_spl),
% 0.09/0.41 inference(resolution,[status(thm)],[f538,f192])).
% 0.09/0.41 fof(f560,definition,(
% 0.09/0.41 sQ16_spl <=> (xi=xj)),
% 0.09/0.41 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.09/0.41 fof(f561,plain,(
% 0.09/0.41 xi=xj|~sQ16_spl),
% 0.09/0.41 inference(component_clause,[status(thm)],[f560])).
% 0.09/0.41 fof(f563,plain,(
% 0.09/0.41 ~sQ12_spl|~sQ11_spl|~sQ14_spl|sQ16_spl|~sQ13_spl),
% 0.09/0.41 inference(split_clause,[status(thm)],[f555,f534,f531,f541,f560,f537])).
% 0.09/0.41 fof(f564,plain,(
% 0.09/0.41 $false|~sQ16_spl),
% 0.09/0.41 inference(forward_subsumption_resolution,[status(thm)],[f561,f375])).
% 0.09/0.41 fof(f565,plain,(
% 0.09/0.41 ~sQ16_spl),
% 0.09/0.41 inference(contradiction_clause,[status(thm)],[f564])).
% 0.09/0.41 fof(f566,plain,(
% 0.09/0.41 $false),
% 0.09/0.41 inference(sat_refutation,[status(thm)],[f540,f544,f551,f553,f563,f565])).
% 0.09/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.43 % Elapsed time: 0.058562 seconds
% 0.09/0.43 % CPU time: 0.174734 seconds
% 0.09/0.43 % Total memory used: 93.097 MB
% 0.09/0.43 % Net memory used: 92.943 MB
%------------------------------------------------------------------------------