%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : COM003-2 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n014.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 12:10:41 PM UTC 2026
% Result : Unsatisfiable 0.15s 5.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM003-2 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/5.37 % Computer : n014.cluster.edu
% 0.10/5.37 % Model : x86_64 x86_64
% 0.10/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.37 % Memory : 8046.5625MB
% 0.10/5.37 % OS : Linux 6.8.0-71-generic
% 0.10/5.37 % CPULimit : 300
% 0.10/5.37 % WCLimit : 300
% 0.10/5.37 % DateTime : Mon Sep 21 14:13:54 UTC 2026
% 0.10/5.38 % CPUTime :
% 0.10/5.39 % Drodi V4.1.1
% 0.15/5.41 % Refutation found
% 0.15/5.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/5.41 % SZS output start CNFRefutation for theBenchmark
% 0.15/5.41 fof(f11,axiom,(
% 0.15/5.41 (![X,Y]: (( ~ program_halts2(X,Y)| halts2(X,Y) ) ))),
% 0.15/5.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/5.41 fof(f17,axiom,(
% 0.15/5.41 (![X,Y]: (( ~ program_not_halts2(X,Y)| ~ halts2(X,Y) ) ))),
% 0.15/5.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/5.41 fof(f22,axiom,(
% 0.15/5.41 (![X,Y,Z,W]: (( ~ program_halts2_halts3_outputs(X,Y,Z,W)| program_halts2(Y,Z) ) ))),
% 0.15/5.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/5.41 fof(f25,axiom,(
% 0.15/5.41 (![X,Y,Z,W]: (( ~ program_not_halts2_halts3_outputs(X,Y,Z,W)| program_not_halts2(Y,Z) ) ))),
% 0.15/5.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/5.41 fof(f34,hypothesis,(
% 0.15/5.41 (![X]: (( ~ algorithm_program_decides(X)| program_program_decides(c1) ) ))),
% 0.15/5.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/5.41 fof(f35,hypothesis,(
% 0.15/5.41 (![W,Y,Z]: (( ~ program_program_decides(W)| program_halts2_halts3_outputs(W,Y,Z,good) ) ))),
% 0.15/5.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/5.41 fof(f36,hypothesis,(
% 0.15/5.41 (![W,Y,Z]: (( ~ program_program_decides(W)| program_not_halts2_halts3_outputs(W,Y,Z,bad) ) ))),
% 0.15/5.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/5.41 fof(f43,negated_conjecture,(
% 0.15/5.41 algorithm_program_decides(c4) ),
% 0.15/5.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/5.41 fof(f56,plain,(
% 0.15/5.41 ![X0,X1]: (~program_halts2(X0,X1)|halts2(X0,X1))),
% 0.15/5.41 inference(cnf_transformation,[status(thm)],[f11])).
% 0.15/5.41 fof(f66,plain,(
% 0.15/5.41 ![X0,X1]: (~program_not_halts2(X0,X1)|~halts2(X0,X1))),
% 0.15/5.41 inference(cnf_transformation,[status(thm)],[f17])).
% 0.15/5.41 fof(f74,plain,(
% 0.15/5.41 ![Y,Z]: ((![X,W]: ~program_halts2_halts3_outputs(X,Y,Z,W))|program_halts2(Y,Z))),
% 0.15/5.41 inference(miniscoping,[status(thm)],[f22])).
% 0.15/5.41 fof(f75,plain,(
% 0.15/5.41 ![X0,X1,X2,X3]: (~program_halts2_halts3_outputs(X0,X1,X2,X3)|program_halts2(X1,X2))),
% 0.15/5.41 inference(cnf_transformation,[status(thm)],[f74])).
% 0.15/5.41 fof(f78,plain,(
% 0.15/5.41 ![Y,Z]: ((![X,W]: ~program_not_halts2_halts3_outputs(X,Y,Z,W))|program_not_halts2(Y,Z))),
% 0.15/5.41 inference(miniscoping,[status(thm)],[f25])).
% 0.15/5.41 fof(f79,plain,(
% 0.15/5.41 ![X0,X1,X2,X3]: (~program_not_halts2_halts3_outputs(X0,X1,X2,X3)|program_not_halts2(X1,X2))),
% 0.15/5.41 inference(cnf_transformation,[status(thm)],[f78])).
% 0.15/5.41 fof(f90,plain,(
% 0.15/5.41 (![X]: ~algorithm_program_decides(X))|program_program_decides(c1)),
% 0.15/5.41 inference(miniscoping,[status(thm)],[f34])).
% 0.15/5.41 fof(f91,plain,(
% 0.15/5.41 ![X0]: (~algorithm_program_decides(X0)|program_program_decides(c1))),
% 0.15/5.41 inference(cnf_transformation,[status(thm)],[f90])).
% 0.15/5.41 fof(f92,plain,(
% 0.15/5.41 ![W]: (~program_program_decides(W)|(![Y,Z]: program_halts2_halts3_outputs(W,Y,Z,good)))),
% 0.15/5.41 inference(miniscoping,[status(thm)],[f35])).
% 0.15/5.41 fof(f93,plain,(
% 0.15/5.41 ![X0,X1,X2]: (~program_program_decides(X0)|program_halts2_halts3_outputs(X0,X1,X2,good))),
% 0.15/5.41 inference(cnf_transformation,[status(thm)],[f92])).
% 0.15/5.41 fof(f94,plain,(
% 0.15/5.41 ![W]: (~program_program_decides(W)|(![Y,Z]: program_not_halts2_halts3_outputs(W,Y,Z,bad)))),
% 0.15/5.41 inference(miniscoping,[status(thm)],[f36])).
% 0.15/5.41 fof(f95,plain,(
% 0.15/5.41 ![X0,X1,X2]: (~program_program_decides(X0)|program_not_halts2_halts3_outputs(X0,X1,X2,bad))),
% 0.15/5.41 inference(cnf_transformation,[status(thm)],[f94])).
% 0.15/5.41 fof(f108,plain,(
% 0.15/5.41 algorithm_program_decides(c4)),
% 0.15/5.41 inference(cnf_transformation,[status(thm)],[f43])).
% 0.15/5.41 fof(f109,definition,(
% 0.15/5.41 ![X0]: (sQ0_spl <=> (~algorithm_program_decides(X0)))),
% 0.15/5.41 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.15/5.41 fof(f110,plain,(
% 0.15/5.41 ![X0]: (~algorithm_program_decides(X0)|~sQ0_spl)),
% 0.15/5.41 inference(component_clause,[status(thm)],[f109])).
% 0.15/5.41 fof(f112,definition,(
% 0.15/5.41 sQ1_spl <=> (program_program_decides(c1))),
% 0.15/5.41 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.15/5.41 fof(f113,plain,(
% 0.15/5.41 program_program_decides(c1)|~sQ1_spl),
% 0.15/5.41 inference(component_clause,[status(thm)],[f112])).
% 0.15/5.41 fof(f115,plain,(
% 0.15/5.41 sQ0_spl|sQ1_spl),
% 0.15/5.41 inference(split_clause,[status(thm)],[f91,f109,f112])).
% 0.15/5.41 fof(f147,plain,(
% 0.15/5.41 $false|~sQ0_spl),
% 0.15/5.41 inference(backward_subsumption_resolution,[status(thm)],[f108,f110])).
% 0.15/5.41 fof(f148,plain,(
% 0.15/5.41 ~sQ0_spl),
% 0.15/5.41 inference(contradiction_clause,[status(thm)],[f147])).
% 0.15/5.41 fof(f160,plain,(
% 0.15/5.41 ![X0,X1,X2]: (~program_program_decides(X0)|program_halts2(X1,X2))),
% 0.15/5.41 inference(resolution,[status(thm)],[f93,f75])).
% 0.15/5.41 fof(f161,definition,(
% 0.15/5.41 ![X0]: (sQ10_spl <=> (~program_program_decides(X0)))),
% 0.15/5.41 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.15/5.41 fof(f162,plain,(
% 0.15/5.41 ![X0]: (~program_program_decides(X0)|~sQ10_spl)),
% 0.15/5.41 inference(component_clause,[status(thm)],[f161])).
% 0.15/5.41 fof(f164,definition,(
% 0.15/5.41 ![X1,X2]: (sQ11_spl <=> (program_halts2(X1,X2)))),
% 0.15/5.41 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.15/5.41 fof(f165,plain,(
% 0.15/5.41 ![X0,X1]: (program_halts2(X0,X1)|~sQ11_spl)),
% 0.15/5.41 inference(component_clause,[status(thm)],[f164])).
% 0.15/5.41 fof(f167,plain,(
% 0.15/5.41 sQ10_spl|sQ11_spl),
% 0.15/5.41 inference(split_clause,[status(thm)],[f160,f161,f164])).
% 0.15/5.41 fof(f168,plain,(
% 0.15/5.41 $false|~sQ10_spl|~sQ1_spl),
% 0.15/5.41 inference(backward_subsumption_resolution,[status(thm)],[f113,f162])).
% 0.15/5.41 fof(f170,plain,(
% 0.15/5.41 ~sQ10_spl|~sQ1_spl),
% 0.15/5.41 inference(contradiction_clause,[status(thm)],[f168])).
% 0.15/5.41 fof(f171,plain,(
% 0.15/5.41 ![X0,X1]: (halts2(X0,X1)|~sQ11_spl)),
% 0.15/5.41 inference(backward_subsumption_resolution,[status(thm)],[f56,f165])).
% 0.15/5.41 fof(f176,plain,(
% 0.15/5.41 ![X0,X1]: (~program_not_halts2(X0,X1)|~sQ11_spl)),
% 0.15/5.41 inference(backward_subsumption_resolution,[status(thm)],[f66,f171])).
% 0.15/5.41 fof(f177,plain,(
% 0.15/5.41 ![X0,X1,X2,X3]: (~program_not_halts2_halts3_outputs(X0,X1,X2,X3)|~sQ11_spl)),
% 0.15/5.41 inference(backward_subsumption_resolution,[status(thm)],[f79,f176])).
% 0.15/5.41 fof(f184,plain,(
% 0.15/5.41 $false|~sQ11_spl|~sQ1_spl),
% 0.15/5.41 inference(backward_subsumption_resolution,[status(thm)],[f113,f186])).
% 0.15/5.41 fof(f186,plain,(
% 0.15/5.41 ![X0]: (~program_program_decides(X0)|~sQ11_spl)),
% 0.15/5.41 inference(forward_subsumption_resolution,[status(thm)],[f95,f177])).
% 0.15/5.41 fof(f187,plain,(
% 0.15/5.41 ~sQ11_spl|~sQ1_spl),
% 0.15/5.41 inference(contradiction_clause,[status(thm)],[f184])).
% 0.15/5.41 fof(f188,plain,(
% 0.15/5.41 $false),
% 0.15/5.41 inference(sat_refutation,[status(thm)],[f115,f148,f167,f170,f187])).
% 0.15/5.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/5.44 % Elapsed time: 0.050716 seconds
% 0.15/5.44 % CPU time: 0.131615 seconds
% 0.15/5.44 % Total memory used: 17.938 MB
% 0.15/5.44 % Net memory used: 17.858 MB
%------------------------------------------------------------------------------