%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL091-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n019.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 01:09:20 PM UTC 2026
% Result : Unsatisfiable 0.78s 0.66s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL091-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.51 % Computer : n019.cluster.edu
% 0.09/0.51 % Model : x86_64 x86_64
% 0.09/0.51 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.51 % Memory : 8046.5625MB
% 0.09/0.51 % OS : Linux 6.8.0-71-generic
% 0.09/0.51 % CPULimit : 300
% 0.09/0.51 % WCLimit : 300
% 0.09/0.51 % DateTime : Mon Sep 21 00:04:35 UTC 2026
% 0.09/0.52 % CPUTime :
% 0.09/0.52 % Drodi V4.1.1
% 0.78/0.66 % Refutation found
% 0.78/0.66 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.78/0.66 % SZS output start CNFRefutation for theBenchmark
% 0.78/0.66 fof(f1,axiom,(
% 0.78/0.66 (![X,Y]: (( ~ is_a_theorem(implies(X,Y))| ~ is_a_theorem(X)| is_a_theorem(Y) ) ))),
% 0.78/0.66 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.78/0.66 fof(f2,axiom,(
% 0.78/0.66 (![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))))) ))),
% 0.78/0.66 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.78/0.66 fof(f3,negated_conjecture,(
% 0.78/0.66 ~ is_a_theorem(implies(a,implies(b,a))) ),
% 0.78/0.66 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.78/0.66 fof(f4,plain,(
% 0.78/0.66 ![Y]: ((![X]: (~is_a_theorem(implies(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 0.78/0.66 inference(miniscoping,[status(thm)],[f1])).
% 0.78/0.66 fof(f5,plain,(
% 0.78/0.66 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 0.78/0.66 inference(cnf_transformation,[status(thm)],[f4])).
% 0.78/0.66 fof(f6,plain,(
% 0.78/0.66 ![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))))))),
% 0.78/0.66 inference(cnf_transformation,[status(thm)],[f2])).
% 0.78/0.66 fof(f7,plain,(
% 0.78/0.66 ~is_a_theorem(implies(a,implies(b,a)))),
% 0.78/0.66 inference(cnf_transformation,[status(thm)],[f3])).
% 0.78/0.66 fof(f8,plain,(
% 0.78/0.66 ![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)))))),
% 0.78/0.66 inference(resolution,[status(thm)],[f6,f5])).
% 0.78/0.66 fof(f9,plain,(
% 0.78/0.66 ![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))))),
% 0.78/0.66 inference(resolution,[status(thm)],[f8,f5])).
% 0.78/0.66 fof(f10,plain,(
% 0.78/0.66 ![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)))))))),
% 0.78/0.66 inference(resolution,[status(thm)],[f9,f6])).
% 0.78/0.66 fof(f12,plain,(
% 0.78/0.66 ![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)))))))),
% 0.78/0.66 inference(resolution,[status(thm)],[f10,f8])).
% 0.78/0.66 fof(f15,plain,(
% 0.78/0.66 ![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)))))),
% 0.78/0.66 inference(resolution,[status(thm)],[f12,f8])).
% 0.78/0.66 fof(f16,plain,(
% 0.78/0.66 ![X0,X1,X2,X3,X4]: (is_a_theorem(implies(X0,implies(X1,implies(implies(implies(X2,X3),X3),implies(X3,implies(X4,X3)))))))),
% 0.78/0.66 inference(resolution,[status(thm)],[f15,f6])).
% 0.78/0.66 fof(f19,plain,(
% 0.78/0.66 ![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)))))))),
% 0.78/0.66 inference(resolution,[status(thm)],[f16,f15])).
% 0.78/0.66 fof(f23,plain,(
% 0.78/0.66 ![X0,X1,X2,X3,X4]: (~is_a_theorem(X0)|is_a_theorem(implies(X1,implies(implies(implies(X2,X3),X3),implies(X3,implies(X4,X3))))))),
% 0.78/0.66 inference(resolution,[status(thm)],[f16,f5])).
% 0.78/0.66 fof(f24,definition,(
% 0.78/0.66 ![X0]: (sQ0_spl <=> (~is_a_theorem(X0)))),
% 0.78/0.66 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.78/0.66 fof(f25,plain,(
% 0.78/0.66 ![X0]: (~is_a_theorem(X0)|~sQ0_spl)),
% 0.78/0.66 inference(component_clause,[status(thm)],[f24])).
% 0.78/0.66 fof(f27,definition,(
% 0.78/0.66 ![X1,X2,X3,X4]: (sQ1_spl <=> (is_a_theorem(implies(X1,implies(implies(implies(X2,X3),X3),implies(X3,implies(X4,X3)))))))),
% 0.78/0.66 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.78/0.66 fof(f28,plain,(
% 0.78/0.66 ![X0,X1,X2,X3]: (is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X2),implies(X2,implies(X3,X2)))))|~sQ1_spl)),
% 0.78/0.66 inference(component_clause,[status(thm)],[f27])).
% 0.78/0.66 fof(f30,plain,(
% 0.78/0.66 sQ0_spl|sQ1_spl),
% 0.78/0.66 inference(split_clause,[status(thm)],[f23,f24,f27])).
% 0.78/0.66 fof(f31,plain,(
% 0.78/0.66 $false|~sQ0_spl),
% 0.78/0.66 inference(backward_subsumption_resolution,[status(thm)],[f6,f25])).
% 0.78/0.66 fof(f33,plain,(
% 0.78/0.66 ~sQ0_spl),
% 0.78/0.66 inference(contradiction_clause,[status(thm)],[f31])).
% 0.78/0.66 fof(f34,plain,(
% 0.78/0.66 ![X0,X1,X2,X3]: (~is_a_theorem(X0)|is_a_theorem(implies(implies(implies(X1,X2),X2),implies(X2,implies(X3,X2))))|~sQ1_spl)),
% 0.78/0.66 inference(resolution,[status(thm)],[f28,f5])).
% 0.78/0.66 fof(f35,definition,(
% 0.78/0.66 ![X1,X2,X3]: (sQ2_spl <=> (is_a_theorem(implies(implies(implies(X1,X2),X2),implies(X2,implies(X3,X2))))))),
% 0.78/0.66 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.78/0.66 fof(f36,plain,(
% 0.78/0.66 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X1),X1),implies(X1,implies(X2,X1))))|~sQ2_spl)),
% 0.78/0.66 inference(component_clause,[status(thm)],[f35])).
% 0.78/0.66 fof(f38,plain,(
% 0.78/0.66 sQ0_spl|sQ2_spl|~sQ1_spl),
% 0.78/0.66 inference(split_clause,[status(thm)],[f34,f24,f35,f27])).
% 0.78/0.66 fof(f48,plain,(
% 0.78/0.66 ![X0,X1,X2,X3,X4]: (~is_a_theorem(implies(implies(X0,X1),implies(X2,X3)))|~is_a_theorem(implies(X3,X0))|~is_a_theorem(X4)|is_a_theorem(implies(X2,X0)))),
% 0.78/0.66 inference(resolution,[status(thm)],[f9,f5])).
% 0.78/0.66 fof(f49,definition,(
% 0.78/0.66 ![X0,X1,X2,X3]: (sQ3_spl <=> (~is_a_theorem(implies(implies(X0,X1),implies(X2,X3)))|~is_a_theorem(implies(X3,X0))|is_a_theorem(implies(X2,X0))))),
% 0.78/0.66 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.78/0.66 fof(f50,plain,(
% 0.78/0.66 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(X0,X1),implies(X2,X3)))|~is_a_theorem(implies(X3,X0))|is_a_theorem(implies(X2,X0))|~sQ3_spl)),
% 0.78/0.66 inference(component_clause,[status(thm)],[f49])).
% 0.78/0.66 fof(f52,plain,(
% 0.78/0.66 sQ3_spl|sQ0_spl),
% 0.78/0.66 inference(split_clause,[status(thm)],[f48,f49,f24])).
% 0.78/0.66 fof(f54,plain,(
% 0.78/0.66 ![X0,X1,X2,X3,X4]: (~is_a_theorem(implies(implies(implies(X0,implies(X1,X0)),X2),implies(X3,implies(implies(X4,X0),X0))))|is_a_theorem(implies(X3,implies(X0,implies(X1,X0))))|~sQ3_spl|~sQ2_spl)),
% 0.78/0.66 inference(resolution,[status(thm)],[f50,f36])).
% 0.78/0.66 fof(f96,plain,(
% 0.78/0.66 ![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))))))),
% 0.78/0.66 inference(resolution,[status(thm)],[f19,f5])).
% 0.78/0.66 fof(f97,definition,(
% 0.78/0.66 ![X1,X2,X3,X4,X5,X6]: (sQ7_spl <=> (is_a_theorem(implies(X1,implies(implies(implies(X2,implies(X3,X2)),X4),implies(X5,implies(implies(implies(X6,X2),X2),X4)))))))),
% 0.78/0.66 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.78/0.66 fof(f98,plain,(
% 0.78/0.66 ![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)))))|~sQ7_spl)),
% 0.78/0.66 inference(component_clause,[status(thm)],[f97])).
% 0.78/0.66 fof(f100,plain,(
% 0.78/0.66 sQ0_spl|sQ7_spl),
% 0.78/0.66 inference(split_clause,[status(thm)],[f96,f24,f97])).
% 0.78/0.66 fof(f104,plain,(
% 0.78/0.66 ![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))))|~sQ7_spl)),
% 0.78/0.66 inference(resolution,[status(thm)],[f98,f5])).
% 0.78/0.66 fof(f105,definition,(
% 0.78/0.66 ![X1,X2,X3,X4,X5]: (sQ8_spl <=> (is_a_theorem(implies(implies(implies(X1,implies(X2,X1)),X3),implies(X4,implies(implies(implies(X5,X1),X1),X3))))))),
% 0.78/0.66 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.78/0.66 fof(f106,plain,(
% 0.78/0.66 ![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))))|~sQ8_spl)),
% 0.78/0.66 inference(component_clause,[status(thm)],[f105])).
% 0.78/0.66 fof(f108,plain,(
% 0.78/0.66 sQ0_spl|sQ8_spl|~sQ7_spl),
% 0.78/0.66 inference(split_clause,[status(thm)],[f104,f24,f105,f97])).
% 0.78/0.66 fof(f259,plain,(
% 0.78/0.66 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(X1,implies(X2,X1))))|~sQ3_spl|~sQ2_spl|~sQ8_spl)),
% 0.78/0.66 inference(resolution,[status(thm)],[f54,f106])).
% 0.78/0.66 fof(f278,plain,(
% 0.78/0.66 ![X0,X1,X2]: (~is_a_theorem(X0)|is_a_theorem(implies(X1,implies(X2,X1)))|~sQ3_spl|~sQ2_spl|~sQ8_spl)),
% 0.78/0.66 inference(resolution,[status(thm)],[f259,f5])).
% 0.78/0.66 fof(f279,definition,(
% 0.78/0.66 ![X1,X2]: (sQ22_spl <=> (is_a_theorem(implies(X1,implies(X2,X1)))))),
% 0.78/0.66 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.78/0.66 fof(f280,plain,(
% 0.78/0.66 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X0)))|~sQ22_spl)),
% 0.78/0.66 inference(component_clause,[status(thm)],[f279])).
% 0.78/0.67 fof(f282,plain,(
% 0.78/0.67 sQ0_spl|sQ22_spl|~sQ3_spl|~sQ2_spl|~sQ8_spl),
% 0.78/0.67 inference(split_clause,[status(thm)],[f278,f24,f279,f49,f35,f105])).
% 0.78/0.67 fof(f283,plain,(
% 0.78/0.67 $false|~sQ22_spl),
% 0.78/0.67 inference(backward_subsumption_resolution,[status(thm)],[f7,f280])).
% 0.78/0.67 fof(f286,plain,(
% 0.78/0.67 ~sQ22_spl),
% 0.78/0.67 inference(contradiction_clause,[status(thm)],[f283])).
% 0.78/0.67 fof(f287,plain,(
% 0.78/0.67 $false),
% 0.78/0.67 inference(sat_refutation,[status(thm)],[f30,f33,f38,f52,f100,f108,f282,f286])).
% 0.78/0.67 % SZS output end CNFRefutation for theBenchmark.p
% 0.78/0.68 % Elapsed time: 0.162300 seconds
% 0.78/0.68 % CPU time: 1.062844 seconds
% 0.78/0.68 % Total memory used: 79.860 MB
% 0.78/0.68 % Net memory used: 76.828 MB
%------------------------------------------------------------------------------