%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN577-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n009.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 03:20:10 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.43s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN577-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n009.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 11:08:58 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.09/0.43 % Refutation found
% 0.09/0.43 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.43 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.43 fof(f1,negated_conjecture,(
% 0.09/0.43 (![X0]: (p2(X0,X0) ))),
% 0.09/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.43 fof(f5,negated_conjecture,(
% 0.09/0.43 p7(c9,c10) ),
% 0.09/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.43 fof(f8,negated_conjecture,(
% 0.09/0.43 p2(f4(c16,c14),c18) ),
% 0.09/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.43 fof(f9,negated_conjecture,(
% 0.09/0.43 p2(f4(c15,c14),c17) ),
% 0.09/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.43 fof(f11,negated_conjecture,(
% 0.09/0.43 p2(f5(f6(c9),c19),c17) ),
% 0.09/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.43 fof(f12,negated_conjecture,(
% 0.09/0.43 p2(f5(f6(c9),c20),c18) ),
% 0.09/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.43 fof(f14,negated_conjecture,(
% 0.09/0.43 (![X1,X2,X0]: (( p2(X1,X2)| ~ p2(X0,X1)| ~ p2(X0,X2) ) ))),
% 0.09/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.43 fof(f20,negated_conjecture,(
% 0.09/0.43 (![X34,X32,X33]: (( ~ p7(X34,c10)| ~ p2(c15,X32)| ~ p2(c16,X33)| ~ p2(f4(X32,c14),f5(f6(X34),c19))| ~ p2(f4(X33,c14),f5(f6(X34),c20)) ) ))),
% 0.09/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.43 fof(f23,plain,(
% 0.09/0.43 ![X0]: (p2(X0,X0))),
% 0.09/0.43 inference(cnf_transformation,[status(thm)],[f1])).
% 0.09/0.43 fof(f27,plain,(
% 0.09/0.43 p7(c9,c10)),
% 0.09/0.43 inference(cnf_transformation,[status(thm)],[f5])).
% 0.09/0.43 fof(f30,plain,(
% 0.09/0.43 p2(f4(c16,c14),c18)),
% 0.09/0.43 inference(cnf_transformation,[status(thm)],[f8])).
% 0.09/0.43 fof(f31,plain,(
% 0.09/0.43 p2(f4(c15,c14),c17)),
% 0.09/0.43 inference(cnf_transformation,[status(thm)],[f9])).
% 0.09/0.43 fof(f33,plain,(
% 0.09/0.43 p2(f5(f6(c9),c19),c17)),
% 0.09/0.43 inference(cnf_transformation,[status(thm)],[f11])).
% 0.09/0.43 fof(f34,plain,(
% 0.09/0.43 p2(f5(f6(c9),c20),c18)),
% 0.09/0.43 inference(cnf_transformation,[status(thm)],[f12])).
% 0.09/0.43 fof(f36,plain,(
% 0.09/0.43 ![X2,X0]: ((![X1]: (p2(X1,X2)|~p2(X0,X1)))|~p2(X0,X2))),
% 0.09/0.43 inference(miniscoping,[status(thm)],[f14])).
% 0.09/0.43 fof(f37,plain,(
% 0.09/0.43 ![X0,X1,X2]: (p2(X0,X1)|~p2(X2,X0)|~p2(X2,X1))),
% 0.09/0.43 inference(cnf_transformation,[status(thm)],[f36])).
% 0.09/0.43 fof(f48,plain,(
% 0.09/0.43 ![X34,X33]: ((![X32]: (((~p7(X34,c10)|~p2(c15,X32))|~p2(c16,X33))|~p2(f4(X32,c14),f5(f6(X34),c19))))|~p2(f4(X33,c14),f5(f6(X34),c20)))),
% 0.09/0.43 inference(miniscoping,[status(thm)],[f20])).
% 0.09/0.43 fof(f49,plain,(
% 0.09/0.43 ![X0,X1,X2]: (~p7(X0,c10)|~p2(c15,X1)|~p2(c16,X2)|~p2(f4(X1,c14),f5(f6(X0),c19))|~p2(f4(X2,c14),f5(f6(X0),c20)))),
% 0.09/0.43 inference(cnf_transformation,[status(thm)],[f48])).
% 0.09/0.43 fof(f54,plain,(
% 0.09/0.43 ![X0,X1,X2,X3]: (~p7(X0,c10)|~p2(c15,X1)|~p2(c16,X2)|~p2(f4(X2,c14),f5(f6(X0),c20))|~p2(X3,f4(X1,c14))|~p2(X3,f5(f6(X0),c19)))),
% 0.09/0.43 inference(resolution,[status(thm)],[f49,f37])).
% 0.09/0.43 fof(f56,plain,(
% 0.09/0.43 ![X0,X1,X2,X3,X4]: (~p7(X0,c10)|~p2(c15,X1)|~p2(c16,X2)|~p2(X3,f4(X1,c14))|~p2(X3,f5(f6(X0),c19))|~p2(X4,f4(X2,c14))|~p2(X4,f5(f6(X0),c20)))),
% 0.09/0.43 inference(resolution,[status(thm)],[f54,f37])).
% 0.09/0.43 fof(f58,plain,(
% 0.09/0.43 ![X0,X1,X2,X3]: (~p7(X0,c10)|~p2(c16,X1)|~p2(X2,f4(c15,c14))|~p2(X2,f5(f6(X0),c19))|~p2(X3,f4(X1,c14))|~p2(X3,f5(f6(X0),c20)))),
% 0.09/0.43 inference(resolution,[status(thm)],[f56,f23])).
% 0.09/0.43 fof(f62,plain,(
% 0.09/0.43 ![X0,X1,X2]: (~p7(X0,c10)|~p2(X1,f4(c15,c14))|~p2(X1,f5(f6(X0),c19))|~p2(X2,f4(c16,c14))|~p2(X2,f5(f6(X0),c20)))),
% 0.09/0.43 inference(resolution,[status(thm)],[f58,f23])).
% 0.09/0.43 fof(f63,plain,(
% 0.09/0.43 ![X0,X1]: (~p2(X0,f4(c15,c14))|~p2(X0,f5(f6(c9),c19))|~p2(X1,f4(c16,c14))|~p2(X1,f5(f6(c9),c20)))),
% 0.09/0.43 inference(resolution,[status(thm)],[f62,f27])).
% 0.09/0.43 fof(f65,definition,(
% 0.09/0.43 ![X0]: (sQ0_spl <=> (~p2(X0,f4(c15,c14))|~p2(X0,f5(f6(c9),c19))))),
% 0.09/0.43 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.09/0.43 fof(f66,plain,(
% 0.09/0.43 ![X0]: (~p2(X0,f4(c15,c14))|~p2(X0,f5(f6(c9),c19))|~sQ0_spl)),
% 0.09/0.43 inference(component_clause,[status(thm)],[f65])).
% 0.09/0.43 fof(f68,definition,(
% 0.09/0.43 ![X1]: (sQ1_spl <=> (~p2(X1,f4(c16,c14))|~p2(X1,f5(f6(c9),c20))))),
% 0.09/0.43 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.09/0.43 fof(f69,plain,(
% 0.09/0.43 ![X0]: (~p2(X0,f4(c16,c14))|~p2(X0,f5(f6(c9),c20))|~sQ1_spl)),
% 0.09/0.43 inference(component_clause,[status(thm)],[f68])).
% 0.09/0.43 fof(f71,plain,(
% 0.09/0.43 sQ0_spl|sQ1_spl),
% 0.09/0.43 inference(split_clause,[status(thm)],[f63,f65,f68])).
% 0.09/0.43 fof(f73,plain,(
% 0.09/0.44 ![X0,X1]: (~p2(X0,f5(f6(c9),c19))|~p2(X1,X0)|~p2(X1,f4(c15,c14))|~sQ0_spl)),
% 0.09/0.44 inference(resolution,[status(thm)],[f66,f37])).
% 0.09/0.44 fof(f79,plain,(
% 0.09/0.44 ![X0]: (~p2(X0,f5(f6(c9),c19))|~p2(f4(c15,c14),X0)|~sQ0_spl)),
% 0.09/0.44 inference(resolution,[status(thm)],[f73,f23])).
% 0.09/0.44 fof(f81,plain,(
% 0.09/0.44 ![X0,X1]: (~p2(f4(c15,c14),X0)|~p2(X1,X0)|~p2(X1,f5(f6(c9),c19))|~sQ0_spl)),
% 0.09/0.44 inference(resolution,[status(thm)],[f79,f37])).
% 0.09/0.44 fof(f86,plain,(
% 0.09/0.44 ![X0]: (~p2(f4(c15,c14),X0)|~p2(f5(f6(c9),c19),X0)|~sQ0_spl)),
% 0.09/0.44 inference(resolution,[status(thm)],[f81,f23])).
% 0.09/0.44 fof(f87,plain,(
% 0.09/0.44 ~p2(f5(f6(c9),c19),c17)|~sQ0_spl),
% 0.09/0.44 inference(resolution,[status(thm)],[f86,f31])).
% 0.09/0.44 fof(f91,plain,(
% 0.09/0.44 $false|~sQ0_spl),
% 0.09/0.44 inference(forward_subsumption_resolution,[status(thm)],[f87,f33])).
% 0.09/0.44 fof(f92,plain,(
% 0.09/0.44 ~sQ0_spl),
% 0.09/0.44 inference(contradiction_clause,[status(thm)],[f91])).
% 0.09/0.44 fof(f94,plain,(
% 0.09/0.44 ![X0,X1]: (~p2(X0,f5(f6(c9),c20))|~p2(X1,X0)|~p2(X1,f4(c16,c14))|~sQ1_spl)),
% 0.09/0.44 inference(resolution,[status(thm)],[f69,f37])).
% 0.09/0.44 fof(f100,plain,(
% 0.09/0.44 ![X0]: (~p2(X0,f5(f6(c9),c20))|~p2(f4(c16,c14),X0)|~sQ1_spl)),
% 0.09/0.44 inference(resolution,[status(thm)],[f94,f23])).
% 0.09/0.44 fof(f102,plain,(
% 0.09/0.44 ![X0,X1]: (~p2(f4(c16,c14),X0)|~p2(X1,X0)|~p2(X1,f5(f6(c9),c20))|~sQ1_spl)),
% 0.09/0.44 inference(resolution,[status(thm)],[f100,f37])).
% 0.09/0.44 fof(f110,plain,(
% 0.09/0.44 ![X0]: (~p2(f4(c16,c14),X0)|~p2(f5(f6(c9),c20),X0)|~sQ1_spl)),
% 0.09/0.44 inference(resolution,[status(thm)],[f102,f23])).
% 0.09/0.44 fof(f111,plain,(
% 0.09/0.44 ~p2(f5(f6(c9),c20),c18)|~sQ1_spl),
% 0.09/0.44 inference(resolution,[status(thm)],[f110,f30])).
% 0.09/0.44 fof(f115,plain,(
% 0.09/0.44 $false|~sQ1_spl),
% 0.09/0.44 inference(forward_subsumption_resolution,[status(thm)],[f111,f34])).
% 0.09/0.44 fof(f116,plain,(
% 0.09/0.44 ~sQ1_spl),
% 0.09/0.44 inference(contradiction_clause,[status(thm)],[f115])).
% 0.09/0.44 fof(f117,plain,(
% 0.09/0.44 $false),
% 0.09/0.44 inference(sat_refutation,[status(thm)],[f71,f92,f116])).
% 0.09/0.44 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.46 % Elapsed time: 0.091864 seconds
% 0.09/0.46 % CPU time: 0.424904 seconds
% 0.09/0.46 % Total memory used: 60.561 MB
% 0.09/0.46 % Net memory used: 59.769 MB
%------------------------------------------------------------------------------