%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : KRS067+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n026.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 01:00:12 PM UTC 2026
% Result : Unsatisfiable 0.21s 0.51s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : KRS067+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.07 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.48 % Computer : n026.cluster.edu
% 0.21/0.48 % Model : x86_64 x86_64
% 0.21/0.48 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.21/0.48 % Memory : 8046.5625MB
% 0.21/0.48 % OS : Linux 6.8.0-71-generic
% 0.21/0.48 % CPULimit : 300
% 0.21/0.48 % WCLimit : 300
% 0.21/0.48 % DateTime : Sun Sep 20 22:55:07 UTC 2026
% 0.21/0.49 % CPUTime :
% 0.21/0.50 % Drodi V4.1.1
% 0.21/0.51 % Refutation found
% 0.21/0.51 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.21/0.51 % SZS output start CNFRefutation for theBenchmark
% 0.21/0.51 fof(f3,axiom,(
% 0.21/0.51 (! [X] :( cUnsatisfiable(X)<=> ( ( cc(X)& cb(X) )| ( cb(X)& ca(X) )| ( cc(X)& ca(X) ) ) ) )),
% 0.21/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.51 fof(f4,axiom,(
% 0.21/0.51 (! [X] :( ca(X)=> ~ ( cc(X)| cb(X) ) ) )),
% 0.21/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.51 fof(f5,axiom,(
% 0.21/0.51 (! [X] :( cb(X)=> ~ cc(X) ) )),
% 0.21/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.51 fof(f6,axiom,(
% 0.21/0.51 cUnsatisfiable(i2003_11_14_17_18_1956) ),
% 0.21/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.51 fof(f14,definition,(
% 0.21/0.51 ![X]: (sP0_prd(X)<=>((cc(X)&cb(X))|(cb(X)&ca(X))))),
% 0.21/0.51 introduced(definition,[new_symbols(definition,[sP0_prd])],[])).
% 0.21/0.51 fof(f15,plain,(
% 0.21/0.51 ![X]: (cUnsatisfiable(X)<=>(sP0_prd(X)|(cc(X)&ca(X))))),
% 0.21/0.51 inference(formula_renaming,[status(thm)],[f3,f14])).
% 0.21/0.51 fof(f16,plain,(
% 0.21/0.51 ![X]: ((~cUnsatisfiable(X)|(sP0_prd(X)|(cc(X)&ca(X))))&(cUnsatisfiable(X)|(~sP0_prd(X)&(~cc(X)|~ca(X)))))),
% 0.21/0.51 inference(NNF_transformation,[status(thm)],[f15])).
% 0.21/0.51 fof(f17,plain,(
% 0.21/0.51 (![X]: (~cUnsatisfiable(X)|(sP0_prd(X)|(cc(X)&ca(X)))))&(![X]: (cUnsatisfiable(X)|(~sP0_prd(X)&(~cc(X)|~ca(X)))))),
% 0.21/0.51 inference(miniscoping,[status(thm)],[f16])).
% 0.21/0.51 fof(f18,plain,(
% 0.21/0.51 ![X0]: (~cUnsatisfiable(X0)|sP0_prd(X0)|cc(X0))),
% 0.21/0.51 inference(cnf_transformation,[status(thm)],[f17])).
% 0.21/0.51 fof(f19,plain,(
% 0.21/0.51 ![X0]: (~cUnsatisfiable(X0)|sP0_prd(X0)|ca(X0))),
% 0.21/0.51 inference(cnf_transformation,[status(thm)],[f17])).
% 0.21/0.51 fof(f22,plain,(
% 0.21/0.51 ![X]: (~ca(X)|(~cc(X)&~cb(X)))),
% 0.21/0.51 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 0.21/0.51 fof(f23,plain,(
% 0.21/0.51 ![X0]: (~ca(X0)|~cc(X0))),
% 0.21/0.51 inference(cnf_transformation,[status(thm)],[f22])).
% 0.21/0.51 fof(f24,plain,(
% 0.21/0.51 ![X0]: (~ca(X0)|~cb(X0))),
% 0.21/0.51 inference(cnf_transformation,[status(thm)],[f22])).
% 0.21/0.51 fof(f25,plain,(
% 0.21/0.51 ![X]: (~cb(X)|~cc(X))),
% 0.21/0.51 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 0.21/0.51 fof(f26,plain,(
% 0.21/0.51 ![X0]: (~cb(X0)|~cc(X0))),
% 0.21/0.51 inference(cnf_transformation,[status(thm)],[f25])).
% 0.21/0.51 fof(f27,plain,(
% 0.21/0.51 cUnsatisfiable(i2003_11_14_17_18_1956)),
% 0.21/0.51 inference(cnf_transformation,[status(thm)],[f6])).
% 0.21/0.51 fof(f28,plain,(
% 0.21/0.51 ![X]: ((~sP0_prd(X)|((cc(X)&cb(X))|(cb(X)&ca(X))))&(sP0_prd(X)|((~cc(X)|~cb(X))&(~cb(X)|~ca(X)))))),
% 0.21/0.51 inference(NNF_transformation,[status(thm)],[f14])).
% 0.21/0.51 fof(f29,plain,(
% 0.21/0.51 (![X]: (~sP0_prd(X)|((cc(X)&cb(X))|(cb(X)&ca(X)))))&(![X]: (sP0_prd(X)|((~cc(X)|~cb(X))&(~cb(X)|~ca(X)))))),
% 0.21/0.51 inference(miniscoping,[status(thm)],[f28])).
% 0.21/0.51 fof(f31,plain,(
% 0.21/0.51 ![X0]: (~sP0_prd(X0)|cc(X0)|ca(X0))),
% 0.21/0.51 inference(cnf_transformation,[status(thm)],[f29])).
% 0.21/0.51 fof(f32,plain,(
% 0.21/0.51 ![X0]: (~sP0_prd(X0)|cb(X0)|cb(X0))),
% 0.21/0.51 inference(cnf_transformation,[status(thm)],[f29])).
% 0.21/0.51 fof(f36,plain,(
% 0.21/0.51 ![X0]: (~sP0_prd(X0)|cb(X0))),
% 0.21/0.51 inference(duplicate_literals_removal,[status(thm)],[f32])).
% 0.21/0.51 fof(f39,plain,(
% 0.21/0.51 ![X0]: (cb(X0)|~cUnsatisfiable(X0)|cc(X0))),
% 0.21/0.51 inference(resolution,[status(thm)],[f36,f18])).
% 0.21/0.51 fof(f40,plain,(
% 0.21/0.51 sP0_prd(i2003_11_14_17_18_1956)|ca(i2003_11_14_17_18_1956)),
% 0.21/0.51 inference(resolution,[status(thm)],[f19,f27])).
% 0.21/0.51 fof(f41,definition,(
% 0.21/0.51 sQ0_spl <=> (sP0_prd(i2003_11_14_17_18_1956))),
% 0.21/0.51 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.21/0.51 fof(f42,plain,(
% 0.21/0.51 sP0_prd(i2003_11_14_17_18_1956)|~sQ0_spl),
% 0.21/0.51 inference(component_clause,[status(thm)],[f41])).
% 0.21/0.51 fof(f44,definition,(
% 0.21/0.51 sQ1_spl <=> (ca(i2003_11_14_17_18_1956))),
% 0.21/0.51 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.21/0.51 fof(f45,plain,(
% 0.21/0.51 ca(i2003_11_14_17_18_1956)|~sQ1_spl),
% 0.21/0.51 inference(component_clause,[status(thm)],[f44])).
% 0.21/0.51 fof(f47,plain,(
% 0.21/0.51 sQ0_spl|sQ1_spl),
% 0.21/0.51 inference(split_clause,[status(thm)],[f40,f41,f44])).
% 0.21/0.51 fof(f48,plain,(
% 0.21/0.51 cb(i2003_11_14_17_18_1956)|~sQ0_spl),
% 0.21/0.51 inference(resolution,[status(thm)],[f42,f36])).
% 0.21/0.51 fof(f52,plain,(
% 0.21/0.51 ![X0]: (cc(X0)|ca(X0)|~cUnsatisfiable(X0)|cc(X0))),
% 0.21/0.51 inference(resolution,[status(thm)],[f31,f18])).
% 0.21/0.51 fof(f53,definition,(
% 0.21/0.51 sQ2_spl <=> (cc(i2003_11_14_17_18_1956))),
% 0.21/0.51 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.21/0.51 fof(f54,plain,(
% 0.21/0.52 cc(i2003_11_14_17_18_1956)|~sQ2_spl),
% 0.21/0.52 inference(component_clause,[status(thm)],[f53])).
% 0.21/0.52 fof(f57,plain,(
% 0.21/0.52 ![X0]: (cc(X0)|ca(X0)|~cUnsatisfiable(X0))),
% 0.21/0.52 inference(duplicate_literals_removal,[status(thm)],[f52])).
% 0.21/0.52 fof(f58,plain,(
% 0.21/0.52 cb(i2003_11_14_17_18_1956)|cc(i2003_11_14_17_18_1956)),
% 0.21/0.52 inference(resolution,[status(thm)],[f39,f27])).
% 0.21/0.52 fof(f59,definition,(
% 0.21/0.52 sQ3_spl <=> (cb(i2003_11_14_17_18_1956))),
% 0.21/0.52 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.21/0.52 fof(f60,plain,(
% 0.21/0.52 cb(i2003_11_14_17_18_1956)|~sQ3_spl),
% 0.21/0.52 inference(component_clause,[status(thm)],[f59])).
% 0.21/0.52 fof(f62,plain,(
% 0.21/0.52 sQ3_spl|sQ2_spl),
% 0.21/0.52 inference(split_clause,[status(thm)],[f58,f59,f53])).
% 0.21/0.52 fof(f63,plain,(
% 0.21/0.52 ~cb(i2003_11_14_17_18_1956)|~sQ2_spl),
% 0.21/0.52 inference(resolution,[status(thm)],[f54,f26])).
% 0.21/0.52 fof(f64,plain,(
% 0.21/0.52 ~ca(i2003_11_14_17_18_1956)|~sQ2_spl),
% 0.21/0.52 inference(resolution,[status(thm)],[f54,f23])).
% 0.21/0.52 fof(f65,plain,(
% 0.21/0.52 $false|~sQ1_spl|~sQ2_spl),
% 0.21/0.52 inference(forward_subsumption_resolution,[status(thm)],[f64,f45])).
% 0.21/0.52 fof(f66,plain,(
% 0.21/0.52 ~sQ1_spl|~sQ2_spl),
% 0.21/0.52 inference(contradiction_clause,[status(thm)],[f65])).
% 0.21/0.52 fof(f67,plain,(
% 0.21/0.52 $false|~sQ2_spl|~sQ0_spl),
% 0.21/0.52 inference(forward_subsumption_resolution,[status(thm)],[f48,f63])).
% 0.21/0.52 fof(f68,plain,(
% 0.21/0.52 ~sQ2_spl|~sQ0_spl),
% 0.21/0.52 inference(contradiction_clause,[status(thm)],[f67])).
% 0.21/0.52 fof(f69,plain,(
% 0.21/0.52 cc(i2003_11_14_17_18_1956)|ca(i2003_11_14_17_18_1956)),
% 0.21/0.52 inference(resolution,[status(thm)],[f57,f27])).
% 0.21/0.52 fof(f70,plain,(
% 0.21/0.52 sQ2_spl|sQ1_spl),
% 0.21/0.52 inference(split_clause,[status(thm)],[f69,f53,f44])).
% 0.21/0.52 fof(f71,plain,(
% 0.21/0.52 ~ca(i2003_11_14_17_18_1956)|~sQ3_spl),
% 0.21/0.52 inference(resolution,[status(thm)],[f60,f24])).
% 0.21/0.52 fof(f72,plain,(
% 0.21/0.52 ~sQ1_spl|~sQ3_spl),
% 0.21/0.52 inference(split_clause,[status(thm)],[f71,f44,f59])).
% 0.21/0.52 fof(f73,plain,(
% 0.21/0.52 $false),
% 0.21/0.52 inference(sat_refutation,[status(thm)],[f47,f62,f66,f68,f70,f72])).
% 0.21/0.52 % SZS output end CNFRefutation for theBenchmark.p
% 0.27/0.56 % Elapsed time: 0.052825 seconds
% 0.27/0.56 % CPU time: 0.022923 seconds
% 0.27/0.56 % Total memory used: 147.072 KB
% 0.27/0.56 % Net memory used: 145.392 KB
%------------------------------------------------------------------------------