%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL095-1 : TPTP v9.3.1. Released v1.0.0.
% 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 01:09:21 PM UTC 2026
% Result : Unsatisfiable 11.88s 1.99s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL095-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n026.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 21 00:07:21 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 11.88/1.99 % Refutation found
% 11.88/1.99 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 11.88/1.99 % SZS output start CNFRefutation for theBenchmark
% 11.88/1.99 fof(f1,axiom,(
% 11.88/1.99 (![X,Y]: (( ~ is_a_theorem(implies(X,Y))| ~ is_a_theorem(X)| is_a_theorem(Y) ) ))),
% 11.88/1.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 11.88/1.99 fof(f2,axiom,(
% 11.88/1.99 (![P,Q,R,S,T]: (is_a_theorem(implies(implies(implies(P,Q),implies(R,S)),implies(implies(S,P),implies(T,implies(R,P))))) ))),
% 11.88/1.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 11.88/1.99 fof(f3,negated_conjecture,(
% 11.88/1.99 ~ is_a_theorem(implies(a,implies(implies(a,b),b))) ),
% 11.88/1.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 11.88/1.99 fof(f4,plain,(
% 11.88/1.99 ![Y]: ((![X]: (~is_a_theorem(implies(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 11.88/1.99 inference(miniscoping,[status(thm)],[f1])).
% 11.88/1.99 fof(f5,plain,(
% 11.88/1.99 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 11.88/1.99 inference(cnf_transformation,[status(thm)],[f4])).
% 11.88/1.99 fof(f6,plain,(
% 11.88/1.99 ![X0,X1,X2,X3,X4]: (is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X3)),implies(implies(X3,X0),implies(X4,implies(X2,X0))))))),
% 11.88/1.99 inference(cnf_transformation,[status(thm)],[f2])).
% 11.88/1.99 fof(f7,plain,(
% 11.88/1.99 ~is_a_theorem(implies(a,implies(implies(a,b),b)))),
% 11.88/1.99 inference(cnf_transformation,[status(thm)],[f3])).
% 11.88/1.99 fof(f8,plain,(
% 11.88/1.99 ![X0,X1,X2,X3,X4]: (~is_a_theorem(implies(implies(X0,X1),implies(X2,X3)))|is_a_theorem(implies(implies(X3,X0),implies(X4,implies(X2,X0)))))),
% 11.88/1.99 inference(resolution,[status(thm)],[f6,f5])).
% 11.88/1.99 fof(f9,plain,(
% 11.88/1.99 ![X0,X1,X2,X3,X4]: (~is_a_theorem(implies(implies(X0,X1),implies(X2,X3)))|~is_a_theorem(implies(X3,X0))|is_a_theorem(implies(X4,implies(X2,X0))))),
% 11.88/1.99 inference(resolution,[status(thm)],[f8,f5])).
% 11.88/1.99 fof(f10,plain,(
% 11.88/1.99 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,implies(X3,X1))),X4),implies(X5,implies(implies(X1,X6),implies(X3,X0)))))|is_a_theorem(implies(X7,implies(X5,implies(implies(X0,X1),implies(X2,implies(X3,X1)))))))),
% 11.88/1.99 inference(resolution,[status(thm)],[f9,f6])).
% 11.88/1.99 fof(f11,plain,(
% 11.88/1.99 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~is_a_theorem(implies(implies(implies(X0,implies(X1,X2)),X3),implies(X4,implies(X5,X2))))|is_a_theorem(implies(X6,implies(X4,implies(X0,implies(X1,X2)))))|~is_a_theorem(implies(implies(X2,X7),implies(X1,X5))))),
% 11.88/1.99 inference(resolution,[status(thm)],[f9,f8])).
% 11.88/1.99 fof(f12,plain,(
% 11.88/1.99 ![X0,X1,X2,X3,X4,X5,X6,X7,X8]: (~is_a_theorem(implies(implies(implies(X0,implies(implies(X1,X2),implies(X2,X3))),X4),implies(X5,implies(implies(X6,implies(X7,X2)),implies(X2,X3)))))|is_a_theorem(implies(X8,implies(X5,implies(X0,implies(implies(X1,X2),implies(X2,X3)))))))),
% 11.88/1.99 inference(resolution,[status(thm)],[f11,f6])).
% 11.88/1.99 fof(f14,plain,(
% 11.88/1.99 ![X0,X1,X2,X3,X4,X5,X6,X7]: (is_a_theorem(implies(X0,implies(X1,implies(implies(X2,X3),implies(X4,implies(X5,X3))))))|~is_a_theorem(implies(implies(implies(X5,X2),X6),implies(implies(X3,X7),implies(implies(X2,X3),implies(X4,implies(X5,X3)))))))),
% 11.88/1.99 inference(resolution,[status(thm)],[f10,f8])).
% 11.88/1.99 fof(f17,plain,(
% 11.88/1.99 ![X0,X1,X2,X3,X4,X5,X6]: (is_a_theorem(implies(X0,implies(X1,implies(implies(X2,X3),implies(X4,implies(X5,X3))))))|~is_a_theorem(implies(implies(implies(X4,implies(X5,X3)),X6),implies(implies(X2,X3),implies(X5,X2)))))),
% 11.88/1.99 inference(resolution,[status(thm)],[f14,f8])).
% 11.88/1.99 fof(f18,plain,(
% 11.88/1.99 ![X0,X1,X2,X3,X4]: (is_a_theorem(implies(X0,implies(X1,implies(implies(implies(X2,X3),X3),implies(X3,implies(X4,X3)))))))),
% 11.88/1.99 inference(resolution,[status(thm)],[f17,f6])).
% 11.88/1.99 fof(f19,plain,(
% 11.88/1.99 ![X0,X1,X2,X3,X4,X5,X6]: (is_a_theorem(implies(X0,implies(X1,implies(implies(X2,X3),implies(X4,implies(X5,X3))))))|~is_a_theorem(implies(implies(X2,X6),implies(X5,implies(X4,implies(X5,X3))))))),
% 11.88/1.99 inference(resolution,[status(thm)],[f17,f8])).
% 11.88/1.99 fof(f20,plain,(
% 11.88/1.99 ![X0,X1,X2,X3,X4,X5]: (is_a_theorem(implies(X0,implies(X1,implies(implies(implies(X2,X3),implies(X4,X3)),implies(X5,implies(X3,implies(X4,X3))))))))),
% 11.88/1.99 inference(resolution,[status(thm)],[f18,f10])).
% 11.88/1.99 fof(f21,plain,(
% 11.88/1.99 ![X0,X1,X2,X3,X4,X5,X6]: (is_a_theorem(implies(X0,implies(X1,implies(implies(implies(X2,implies(X3,X2)),X4),implies(X5,implies(implies(implies(X6,X2),X2),X4)))))))),
% 11.88/1.99 inference(resolution,[status(thm)],[f18,f17])).
% 11.88/1.99 fof(f27,definition,(
% 11.88/1.99 ![X0]: (sQ0_spl <=> (~is_a_theorem(X0)))),
% 11.88/1.99 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 11.88/1.99 fof(f28,plain,(
% 11.88/1.99 ![X0]: (~is_a_theorem(X0)|~sQ0_spl)),
% 11.88/1.99 inference(component_clause,[status(thm)],[f27])).
% 11.88/1.99 fof(f34,plain,(
% 11.88/1.99 $false|~sQ0_spl),
% 11.88/1.99 inference(backward_subsumption_resolution,[status(thm)],[f6,f28])).
% 11.88/1.99 fof(f36,plain,(
% 11.88/1.99 ~sQ0_spl),
% 11.88/1.99 inference(contradiction_clause,[status(thm)],[f34])).
% 11.88/1.99 fof(f56,plain,(
% 11.88/1.99 ![X0,X1,X2,X3,X4,X5]: (~is_a_theorem(X0)|is_a_theorem(implies(X1,implies(implies(implies(X2,X3),implies(X4,X3)),implies(X5,implies(X3,implies(X4,X3)))))))),
% 11.88/1.99 inference(resolution,[status(thm)],[f20,f5])).
% 11.88/1.99 fof(f57,definition,(
% 11.88/1.99 ![X1,X2,X3,X4,X5]: (sQ3_spl <=> (is_a_theorem(implies(X1,implies(implies(implies(X2,X3),implies(X4,X3)),implies(X5,implies(X3,implies(X4,X3))))))))),
% 11.88/1.99 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 11.88/1.99 fof(f58,plain,(
% 11.88/1.99 ![X0,X1,X2,X3,X4]: (is_a_theorem(implies(X0,implies(implies(implies(X1,X2),implies(X3,X2)),implies(X4,implies(X2,implies(X3,X2))))))|~sQ3_spl)),
% 11.88/1.99 inference(component_clause,[status(thm)],[f57])).
% 11.88/1.99 fof(f60,plain,(
% 11.88/1.99 sQ0_spl|sQ3_spl),
% 11.88/1.99 inference(split_clause,[status(thm)],[f56,f27,f57])).
% 11.88/1.99 fof(f63,plain,(
% 11.88/1.99 ![X0,X1,X2,X3,X4]: (~is_a_theorem(X0)|is_a_theorem(implies(implies(implies(X1,X2),implies(X3,X2)),implies(X4,implies(X2,implies(X3,X2)))))|~sQ3_spl)),
% 11.88/1.99 inference(resolution,[status(thm)],[f58,f5])).
% 11.88/1.99 fof(f64,definition,(
% 11.88/1.99 ![X1,X2,X3,X4]: (sQ4_spl <=> (is_a_theorem(implies(implies(implies(X1,X2),implies(X3,X2)),implies(X4,implies(X2,implies(X3,X2)))))))),
% 11.88/1.99 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 11.88/1.99 fof(f65,plain,(
% 11.88/1.99 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),implies(X3,implies(X1,implies(X2,X1)))))|~sQ4_spl)),
% 11.88/1.99 inference(component_clause,[status(thm)],[f64])).
% 11.88/1.99 fof(f67,plain,(
% 11.88/1.99 sQ0_spl|sQ4_spl|~sQ3_spl),
% 11.88/1.99 inference(split_clause,[status(thm)],[f63,f27,f64,f57])).
% 11.88/1.99 fof(f90,plain,(
% 11.88/1.99 ![X0,X1,X2,X3,X4,X5,X6]: (~is_a_theorem(X0)|is_a_theorem(implies(X1,implies(implies(implies(X2,implies(X3,X2)),X4),implies(X5,implies(implies(implies(X6,X2),X2),X4))))))),
% 11.88/1.99 inference(resolution,[status(thm)],[f21,f5])).
% 11.88/1.99 fof(f91,definition,(
% 11.88/1.99 ![X1,X2,X3,X4,X5,X6]: (sQ6_spl <=> (is_a_theorem(implies(X1,implies(implies(implies(X2,implies(X3,X2)),X4),implies(X5,implies(implies(implies(X6,X2),X2),X4)))))))),
% 11.88/1.99 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 11.88/1.99 fof(f92,plain,(
% 11.88/1.99 ![X0,X1,X2,X3,X4,X5]: (is_a_theorem(implies(X0,implies(implies(implies(X1,implies(X2,X1)),X3),implies(X4,implies(implies(implies(X5,X1),X1),X3)))))|~sQ6_spl)),
% 11.88/1.99 inference(component_clause,[status(thm)],[f91])).
% 11.88/1.99 fof(f94,plain,(
% 11.88/1.99 sQ0_spl|sQ6_spl),
% 11.88/1.99 inference(split_clause,[status(thm)],[f90,f27,f91])).
% 11.88/1.99 fof(f98,plain,(
% 11.88/1.99 ![X0,X1,X2,X3,X4,X5]: (~is_a_theorem(X0)|is_a_theorem(implies(implies(implies(X1,implies(X2,X1)),X3),implies(X4,implies(implies(implies(X5,X1),X1),X3))))|~sQ6_spl)),
% 11.88/1.99 inference(resolution,[status(thm)],[f92,f5])).
% 11.88/1.99 fof(f99,definition,(
% 11.88/1.99 ![X1,X2,X3,X4,X5]: (sQ7_spl <=> (is_a_theorem(implies(implies(implies(X1,implies(X2,X1)),X3),implies(X4,implies(implies(implies(X5,X1),X1),X3))))))),
% 11.88/1.99 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 11.88/1.99 fof(f100,plain,(
% 11.88/1.99 ![X0,X1,X2,X3,X4]: (is_a_theorem(implies(implies(implies(X0,implies(X1,X0)),X2),implies(X3,implies(implies(implies(X4,X0),X0),X2))))|~sQ7_spl)),
% 11.88/1.99 inference(component_clause,[status(thm)],[f99])).
% 11.88/1.99 fof(f102,plain,(
% 11.88/1.99 sQ0_spl|sQ7_spl|~sQ6_spl),
% 11.88/1.99 inference(split_clause,[status(thm)],[f98,f27,f99,f91])).
% 11.88/1.99 fof(f104,plain,(
% 11.88/1.99 ![X0,X1,X2,X3,X4]: (~is_a_theorem(implies(implies(X0,implies(X1,X0)),X2))|is_a_theorem(implies(X3,implies(implies(implies(X4,X0),X0),X2)))|~sQ7_spl)),
% 11.88/1.99 inference(resolution,[status(thm)],[f100,f5])).
% 11.88/1.99 fof(f108,plain,(
% 11.88/1.99 ![X0,X1,X2,X3,X4]: (~is_a_theorem(implies(implies(X0,implies(X1,X0)),X2))|~is_a_theorem(X3)|is_a_theorem(implies(implies(implies(X4,X0),X0),X2))|~sQ7_spl)),
% 11.88/1.99 inference(resolution,[status(thm)],[f104,f5])).
% 11.88/1.99 fof(f109,definition,(
% 11.88/1.99 ![X0,X1,X2,X4]: (sQ8_spl <=> (~is_a_theorem(implies(implies(X0,implies(X1,X0)),X2))|is_a_theorem(implies(implies(implies(X4,X0),X0),X2))))),
% 11.88/1.99 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 11.88/1.99 fof(f110,plain,(
% 11.88/1.99 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(X0,implies(X1,X0)),X2))|is_a_theorem(implies(implies(implies(X3,X0),X0),X2))|~sQ8_spl)),
% 11.88/1.99 inference(component_clause,[status(thm)],[f109])).
% 11.88/1.99 fof(f112,plain,(
% 11.88/1.99 sQ8_spl|sQ0_spl|~sQ7_spl),
% 11.88/1.99 inference(split_clause,[status(thm)],[f108,f109,f27,f99])).
% 11.88/1.99 fof(f181,plain,(
% 11.88/1.99 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,implies(X3,X1))),X4),implies(X5,implies(implies(X1,X6),implies(X3,X0)))))|~is_a_theorem(X7)|is_a_theorem(implies(X5,implies(implies(X0,X1),implies(X2,implies(X3,X1))))))),
% 11.88/1.99 inference(resolution,[status(thm)],[f10,f5])).
% 11.88/1.99 fof(f182,definition,(
% 11.88/1.99 ![X0,X1,X2,X3,X4,X5,X6]: (sQ13_spl <=> (~is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,implies(X3,X1))),X4),implies(X5,implies(implies(X1,X6),implies(X3,X0)))))|is_a_theorem(implies(X5,implies(implies(X0,X1),implies(X2,implies(X3,X1)))))))),
% 11.88/1.99 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 11.88/1.99 fof(f183,plain,(
% 11.88/1.99 ![X0,X1,X2,X3,X4,X5,X6]: (~is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,implies(X3,X1))),X4),implies(X5,implies(implies(X1,X6),implies(X3,X0)))))|is_a_theorem(implies(X5,implies(implies(X0,X1),implies(X2,implies(X3,X1)))))|~sQ13_spl)),
% 11.88/1.99 inference(component_clause,[status(thm)],[f182])).
% 11.88/1.99 fof(f185,plain,(
% 11.88/1.99 sQ13_spl|sQ0_spl),
% 11.88/1.99 inference(split_clause,[status(thm)],[f181,f182,f27])).
% 11.88/1.99 fof(f226,plain,(
% 11.88/1.99 ![X0,X1,X2,X3,X4,X5,X6]: (~is_a_theorem(implies(implies(X0,X1),implies(X2,implies(X3,implies(X2,X4)))))|~is_a_theorem(X5)|is_a_theorem(implies(X6,implies(implies(X0,X4),implies(X3,implies(X2,X4))))))),
% 11.88/1.99 inference(resolution,[status(thm)],[f19,f5])).
% 11.88/1.99 fof(f227,definition,(
% 11.88/1.99 ![X0,X1,X2,X3,X4,X6]: (sQ18_spl <=> (~is_a_theorem(implies(implies(X0,X1),implies(X2,implies(X3,implies(X2,X4)))))|is_a_theorem(implies(X6,implies(implies(X0,X4),implies(X3,implies(X2,X4)))))))),
% 11.88/1.99 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 11.88/1.99 fof(f228,plain,(
% 11.88/1.99 ![X0,X1,X2,X3,X4,X5]: (~is_a_theorem(implies(implies(X0,X1),implies(X2,implies(X3,implies(X2,X4)))))|is_a_theorem(implies(X5,implies(implies(X0,X4),implies(X3,implies(X2,X4)))))|~sQ18_spl)),
% 11.88/1.99 inference(component_clause,[status(thm)],[f227])).
% 11.88/1.99 fof(f230,plain,(
% 11.88/1.99 sQ18_spl|sQ0_spl),
% 11.88/1.99 inference(split_clause,[status(thm)],[f226,f227,f27])).
% 11.88/1.99 fof(f237,plain,(
% 11.88/1.99 ![X0,X1,X2,X3,X4,X5]: (~is_a_theorem(implies(implies(X0,X1),implies(X2,implies(X3,implies(X2,X4)))))|~is_a_theorem(X5)|is_a_theorem(implies(implies(X0,X4),implies(X3,implies(X2,X4))))|~sQ18_spl)),
% 11.88/1.99 inference(resolution,[status(thm)],[f228,f5])).
% 11.88/1.99 fof(f238,definition,(
% 11.88/1.99 ![X0,X1,X2,X3,X4]: (sQ19_spl <=> (~is_a_theorem(implies(implies(X0,X1),implies(X2,implies(X3,implies(X2,X4)))))|is_a_theorem(implies(implies(X0,X4),implies(X3,implies(X2,X4))))))),
% 11.88/1.99 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 11.88/1.99 fof(f239,plain,(
% 11.88/1.99 ![X0,X1,X2,X3,X4]: (~is_a_theorem(implies(implies(X0,X1),implies(X2,implies(X3,implies(X2,X4)))))|is_a_theorem(implies(implies(X0,X4),implies(X3,implies(X2,X4))))|~sQ19_spl)),
% 11.88/1.99 inference(component_clause,[status(thm)],[f238])).
% 11.88/1.99 fof(f241,plain,(
% 11.88/1.99 sQ19_spl|sQ0_spl|~sQ18_spl),
% 11.88/1.99 inference(split_clause,[status(thm)],[f237,f238,f27,f227])).
% 11.88/1.99 fof(f243,plain,(
% 11.88/1.99 ![X0,X1,X2,X3,X4]: (~is_a_theorem(implies(implies(X0,X1),implies(X2,implies(X3,implies(X2,X4)))))|~is_a_theorem(implies(X0,X4))|is_a_theorem(implies(X3,implies(X2,X4)))|~sQ19_spl)),
% 11.88/1.99 inference(resolution,[status(thm)],[f239,f5])).
% 11.88/1.99 fof(f245,plain,(
% 11.88/1.99 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(X0,X1),X0))|is_a_theorem(implies(X2,implies(implies(X3,X0),X0)))|~sQ19_spl)),
% 11.88/1.99 inference(resolution,[status(thm)],[f243,f6])).
% 11.88/1.99 fof(f271,plain,(
% 11.88/1.99 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(X0,X1),X0))|~is_a_theorem(X2)|is_a_theorem(implies(implies(X3,X0),X0))|~sQ19_spl)),
% 11.88/1.99 inference(resolution,[status(thm)],[f245,f5])).
% 11.88/1.99 fof(f272,definition,(
% 11.88/1.99 ![X0,X1,X3]: (sQ20_spl <=> (~is_a_theorem(implies(implies(X0,X1),X0))|is_a_theorem(implies(implies(X3,X0),X0))))),
% 11.88/1.99 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 11.88/1.99 fof(f273,plain,(
% 11.88/1.99 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,X1),X0))|is_a_theorem(implies(implies(X2,X0),X0))|~sQ20_spl)),
% 11.88/1.99 inference(component_clause,[status(thm)],[f272])).
% 11.88/1.99 fof(f275,plain,(
% 11.88/1.99 sQ20_spl|sQ0_spl|~sQ19_spl),
% 11.88/1.99 inference(split_clause,[status(thm)],[f271,f272,f27,f238])).
% 11.88/1.99 fof(f284,plain,(
% 11.88/1.99 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,X1),X0))|~is_a_theorem(implies(X2,X0))|is_a_theorem(X0)|~sQ20_spl)),
% 11.88/1.99 inference(resolution,[status(thm)],[f273,f5])).
% 11.88/1.99 fof(f290,plain,(
% 11.88/1.99 ![X0,X1,X2,X3]: (~is_a_theorem(implies(X0,implies(X1,X2)))|is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(implies(X2,implies(X3,X2)),implies(X1,X2)))|~sQ20_spl|~sQ8_spl)),
% 11.88/2.00 inference(resolution,[status(thm)],[f284,f110])).
% 11.88/2.00 fof(f342,plain,(
% 11.88/2.00 ![X0,X1,X2,X3,X4,X5,X6,X7,X8]: (~is_a_theorem(implies(implies(implies(X0,implies(implies(X1,X2),implies(X2,X3))),X4),implies(X5,implies(implies(X6,implies(X7,X2)),implies(X2,X3)))))|~is_a_theorem(X8)|is_a_theorem(implies(X5,implies(X0,implies(implies(X1,X2),implies(X2,X3))))))),
% 11.88/2.00 inference(resolution,[status(thm)],[f12,f5])).
% 11.88/2.00 fof(f344,definition,(
% 11.88/2.00 ![X0,X1,X2,X3,X4,X5,X6,X7]: (sQ24_spl <=> (~is_a_theorem(implies(implies(implies(X0,implies(implies(X1,X2),implies(X2,X3))),X4),implies(X5,implies(implies(X6,implies(X7,X2)),implies(X2,X3)))))|is_a_theorem(implies(X5,implies(X0,implies(implies(X1,X2),implies(X2,X3)))))))),
% 11.88/2.00 introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition])).
% 11.88/2.00 fof(f345,plain,(
% 11.88/2.00 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~is_a_theorem(implies(implies(implies(X0,implies(implies(X1,X2),implies(X2,X3))),X4),implies(X5,implies(implies(X6,implies(X7,X2)),implies(X2,X3)))))|is_a_theorem(implies(X5,implies(X0,implies(implies(X1,X2),implies(X2,X3)))))|~sQ24_spl)),
% 11.88/2.00 inference(component_clause,[status(thm)],[f344])).
% 11.88/2.00 fof(f347,plain,(
% 11.88/2.00 sQ24_spl|sQ0_spl),
% 11.88/2.00 inference(split_clause,[status(thm)],[f342,f344,f27])).
% 11.88/2.00 fof(f834,plain,(
% 11.88/2.00 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(implies(implies(X1,implies(X2,X1)),X1),implies(X1,implies(X2,X1)))))|~sQ13_spl|~sQ4_spl)),
% 11.88/2.00 inference(resolution,[status(thm)],[f183,f65])).
% 11.88/2.00 fof(f907,plain,(
% 11.88/2.00 ![X0,X1,X2]: (~is_a_theorem(implies(X0,implies(implies(implies(X1,implies(X2,X1)),X1),implies(X1,implies(X2,X1)))))|is_a_theorem(implies(implies(implies(X1,implies(X2,X1)),X1),implies(X1,implies(X2,X1))))|~sQ13_spl|~sQ4_spl|~sQ20_spl|~sQ8_spl)),
% 11.88/2.00 inference(resolution,[status(thm)],[f834,f290])).
% 11.88/2.00 fof(f919,plain,(
% 11.88/2.00 ![X0,X1]: (is_a_theorem(implies(implies(implies(X0,implies(X1,X0)),X0),implies(X0,implies(X1,X0))))|~sQ13_spl|~sQ4_spl|~sQ20_spl|~sQ8_spl)),
% 11.88/2.00 inference(forward_subsumption_resolution,[status(thm)],[f907,f834])).
% 11.88/2.00 fof(f930,plain,(
% 11.88/2.00 ![X0,X1,X2]: (~is_a_theorem(implies(X0,implies(X1,implies(X2,X1))))|is_a_theorem(implies(X1,implies(X2,X1)))|~sQ13_spl|~sQ4_spl|~sQ8_spl|~sQ20_spl)),
% 11.88/2.00 inference(resolution,[status(thm)],[f919,f284])).
% 11.88/2.00 fof(f947,plain,(
% 11.88/2.00 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X0)))|~sQ13_spl|~sQ4_spl|~sQ20_spl|~sQ8_spl)),
% 11.88/2.00 inference(resolution,[status(thm)],[f930,f919])).
% 11.88/2.00 fof(f1478,plain,(
% 11.88/2.00 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(X0,X1),implies(X1,implies(implies(X2,X3),implies(X3,X1)))))|~sQ24_spl)),
% 11.88/2.00 inference(resolution,[status(thm)],[f345,f6])).
% 11.88/2.00 fof(f1622,plain,(
% 11.88/2.00 ![X0,X1,X2,X3]: (is_a_theorem(implies(X0,implies(implies(X0,X1),implies(X2,implies(X3,X1)))))|~sQ24_spl|~sQ13_spl)),
% 11.88/2.00 inference(resolution,[status(thm)],[f1478,f183])).
% 11.88/2.00 fof(f1638,plain,(
% 11.88/2.00 ![X0,X1,X2,X3]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(X2,implies(implies(implies(X0,X3),X1),X1)))|~sQ24_spl|~sQ13_spl|~sQ19_spl)),
% 11.88/2.00 inference(resolution,[status(thm)],[f1622,f243])).
% 11.88/2.00 fof(f1805,plain,(
% 11.88/2.00 ![X0,X1,X2,X3]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(X2,implies(implies(implies(X0,X3),X1),X1)))|is_a_theorem(implies(implies(implies(X0,X3),X1),X1))|~sQ24_spl|~sQ13_spl|~sQ19_spl|~sQ20_spl|~sQ8_spl)),
% 11.88/2.01 inference(resolution,[status(thm)],[f1638,f290])).
% 11.88/2.01 fof(f1815,plain,(
% 11.88/2.01 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(implies(implies(X0,X2),X1),X1))|~sQ24_spl|~sQ13_spl|~sQ19_spl|~sQ20_spl|~sQ8_spl)),
% 11.88/2.01 inference(forward_subsumption_resolution,[status(thm)],[f1805,f1638])).
% 11.88/2.01 fof(f1839,plain,(
% 11.88/2.01 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(implies(X0,X2),X1))|is_a_theorem(X1)|~sQ24_spl|~sQ13_spl|~sQ19_spl|~sQ20_spl|~sQ8_spl)),
% 11.88/2.01 inference(resolution,[status(thm)],[f1815,f5])).
% 11.88/2.01 fof(f1909,plain,(
% 11.88/2.01 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,X1),implies(X2,X0)))|is_a_theorem(implies(X2,X0))|~sQ24_spl|~sQ19_spl|~sQ13_spl|~sQ4_spl|~sQ20_spl|~sQ8_spl)),
% 11.88/2.01 inference(resolution,[status(thm)],[f1839,f947])).
% 11.88/2.01 fof(f1924,plain,(
% 11.88/2.01 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(X1,X2)))|~is_a_theorem(implies(X1,implies(X0,implies(X1,X2))))|~sQ4_spl|~sQ24_spl|~sQ13_spl|~sQ19_spl|~sQ20_spl|~sQ8_spl)),
% 11.88/2.01 inference(resolution,[status(thm)],[f1909,f1815])).
% 11.88/2.01 fof(f3067,plain,(
% 11.88/2.01 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(X0,implies(X2,X1))))|~sQ4_spl|~sQ19_spl|~sQ20_spl|~sQ8_spl|~sQ24_spl|~sQ13_spl)),
% 11.88/2.01 inference(resolution,[status(thm)],[f1924,f1622])).
% 11.88/2.01 fof(f3171,plain,(
% 11.88/2.01 ![X0,X1]: (is_a_theorem(implies(X0,implies(implies(X0,X1),X1)))|~sQ4_spl|~sQ24_spl|~sQ13_spl|~sQ19_spl|~sQ20_spl|~sQ8_spl)),
% 11.88/2.01 inference(resolution,[status(thm)],[f3067,f1924])).
% 11.88/2.01 fof(f3176,plain,(
% 11.88/2.01 $false|~sQ4_spl|~sQ24_spl|~sQ13_spl|~sQ19_spl|~sQ20_spl|~sQ8_spl),
% 11.88/2.01 inference(backward_subsumption_resolution,[status(thm)],[f7,f3171])).
% 11.88/2.01 fof(f3188,plain,(
% 11.88/2.01 ~sQ4_spl|~sQ24_spl|~sQ13_spl|~sQ19_spl|~sQ20_spl|~sQ8_spl),
% 11.88/2.01 inference(contradiction_clause,[status(thm)],[f3176])).
% 11.88/2.01 fof(f3189,plain,(
% 11.88/2.01 $false),
% 11.88/2.01 inference(sat_refutation,[status(thm)],[f36,f60,f67,f94,f102,f112,f185,f230,f241,f275,f347,f3188])).
% 11.88/2.01 % SZS output end CNFRefutation for theBenchmark.p
% 2.95/2.03 % Elapsed time: 1.650498 seconds
% 2.95/2.03 % CPU time: 12.776571 seconds
% 2.95/2.03 % Total memory used: 189.038 MB
% 2.95/2.03 % Net memory used: 171.264 MB
%------------------------------------------------------------------------------