%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL094-1 : 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 : n001.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 6.34s 1.30s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL094-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n001.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 00:10:13 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.14/0.37 % Drodi V4.1.1
% 6.34/1.30 % Refutation found
% 6.34/1.30 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 6.34/1.30 % SZS output start CNFRefutation for theBenchmark
% 6.34/1.30 fof(f1,axiom,(
% 6.34/1.30 (![X,Y]: (( ~ is_a_theorem(implies(X,Y))| ~ is_a_theorem(X)| is_a_theorem(Y) ) ))),
% 6.34/1.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.34/1.30 fof(f2,axiom,(
% 6.34/1.30 (![P,Q,R,S,T]: (is_a_theorem(implies(implies(implies(P,Q),implies(R,S)),implies(T,implies(implies(S,P),implies(R,P))))) ))),
% 6.34/1.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.34/1.30 fof(f3,negated_conjecture,(
% 6.34/1.30 ~ is_a_theorem(implies(a,implies(implies(a,b),b))) ),
% 6.34/1.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.34/1.30 fof(f4,plain,(
% 6.34/1.30 ![Y]: ((![X]: (~is_a_theorem(implies(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 6.34/1.30 inference(miniscoping,[status(thm)],[f1])).
% 6.34/1.30 fof(f5,plain,(
% 6.34/1.30 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 6.34/1.30 inference(cnf_transformation,[status(thm)],[f4])).
% 6.34/1.30 fof(f6,plain,(
% 6.34/1.30 ![X0,X1,X2,X3,X4]: (is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X3)),implies(X4,implies(implies(X3,X0),implies(X2,X0))))))),
% 6.34/1.30 inference(cnf_transformation,[status(thm)],[f2])).
% 6.34/1.30 fof(f7,plain,(
% 6.34/1.30 ~is_a_theorem(implies(a,implies(implies(a,b),b)))),
% 6.34/1.30 inference(cnf_transformation,[status(thm)],[f3])).
% 6.34/1.30 fof(f8,plain,(
% 6.34/1.30 ![X0,X1,X2,X3,X4]: (~is_a_theorem(implies(implies(X0,X1),implies(X2,X3)))|is_a_theorem(implies(X4,implies(implies(X3,X0),implies(X2,X0)))))),
% 6.34/1.30 inference(resolution,[status(thm)],[f6,f5])).
% 6.34/1.30 fof(f9,plain,(
% 6.34/1.30 ![X0,X1,X2,X3,X4,X5]: (is_a_theorem(implies(X0,implies(implies(implies(implies(X1,X2),implies(X3,X2)),implies(X2,X4)),implies(X5,implies(X2,X4))))))),
% 6.34/1.30 inference(resolution,[status(thm)],[f8,f6])).
% 6.34/1.30 fof(f11,plain,(
% 6.34/1.30 ![X0,X1,X2,X3,X4,X5]: (~is_a_theorem(X0)|is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X3,X2)),implies(X2,X4)),implies(X5,implies(X2,X4)))))),
% 6.34/1.30 inference(resolution,[status(thm)],[f9,f5])).
% 6.34/1.30 fof(f12,definition,(
% 6.34/1.30 ![X0]: (sQ0_spl <=> (~is_a_theorem(X0)))),
% 6.34/1.30 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 6.34/1.30 fof(f13,plain,(
% 6.34/1.30 ![X0]: (~is_a_theorem(X0)|~sQ0_spl)),
% 6.34/1.30 inference(component_clause,[status(thm)],[f12])).
% 6.34/1.30 fof(f15,definition,(
% 6.34/1.30 ![X1,X2,X3,X4,X5]: (sQ1_spl <=> (is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X3,X2)),implies(X2,X4)),implies(X5,implies(X2,X4))))))),
% 6.34/1.30 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 6.34/1.30 fof(f16,plain,(
% 6.34/1.30 ![X0,X1,X2,X3,X4]: (is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),implies(X1,X3)),implies(X4,implies(X1,X3))))|~sQ1_spl)),
% 6.34/1.30 inference(component_clause,[status(thm)],[f15])).
% 6.34/1.30 fof(f18,plain,(
% 6.34/1.30 sQ0_spl|sQ1_spl),
% 6.34/1.30 inference(split_clause,[status(thm)],[f11,f12,f15])).
% 6.34/1.30 fof(f19,plain,(
% 6.34/1.30 $false|~sQ0_spl),
% 6.34/1.30 inference(backward_subsumption_resolution,[status(thm)],[f6,f13])).
% 6.34/1.30 fof(f21,plain,(
% 6.34/1.30 ~sQ0_spl),
% 6.34/1.30 inference(contradiction_clause,[status(thm)],[f19])).
% 6.34/1.30 fof(f22,plain,(
% 6.34/1.30 ![X0,X1,X2,X3,X4]: (~is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),implies(X1,X3)))|is_a_theorem(implies(X4,implies(X1,X3)))|~sQ1_spl)),
% 6.34/1.30 inference(resolution,[status(thm)],[f16,f5])).
% 6.34/1.30 fof(f24,plain,(
% 6.34/1.30 ![X0,X1,X2,X3,X4]: (~is_a_theorem(implies(implies(X0,X1),implies(X2,X3)))|~is_a_theorem(X4)|is_a_theorem(implies(implies(X3,X0),implies(X2,X0))))),
% 6.34/1.30 inference(resolution,[status(thm)],[f8,f5])).
% 6.34/1.30 fof(f25,definition,(
% 6.34/1.30 ![X0,X1,X2,X3]: (sQ2_spl <=> (~is_a_theorem(implies(implies(X0,X1),implies(X2,X3)))|is_a_theorem(implies(implies(X3,X0),implies(X2,X0)))))),
% 6.34/1.30 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 6.34/1.30 fof(f26,plain,(
% 6.34/1.30 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(X0,X1),implies(X2,X3)))|is_a_theorem(implies(implies(X3,X0),implies(X2,X0)))|~sQ2_spl)),
% 6.34/1.30 inference(component_clause,[status(thm)],[f25])).
% 6.34/1.30 fof(f28,plain,(
% 6.34/1.30 sQ2_spl|sQ0_spl),
% 6.34/1.30 inference(split_clause,[status(thm)],[f24,f25,f12])).
% 6.34/1.30 fof(f29,plain,(
% 6.34/1.30 ![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))|~sQ2_spl)),
% 6.34/1.30 inference(resolution,[status(thm)],[f26,f5])).
% 6.34/1.30 fof(f30,plain,(
% 6.34/1.30 ![X0,X1,X2,X3,X4,X5,X6]: (~is_a_theorem(implies(implies(implies(X0,implies(X1,X2)),X3),implies(X4,implies(implies(implies(X5,X1),implies(X6,X1)),implies(X1,X2)))))|is_a_theorem(implies(X4,implies(X0,implies(X1,X2))))|~sQ2_spl|~sQ1_spl)),
% 6.34/1.30 inference(resolution,[status(thm)],[f29,f16])).
% 6.34/1.30 fof(f31,plain,(
% 6.34/1.30 ![X0,X1,X2,X3,X4,X5,X6]: (~is_a_theorem(implies(implies(implies(X0,implies(implies(X1,X2),implies(X3,X2))),X4),implies(X5,implies(implies(X2,X6),implies(X3,X1)))))|is_a_theorem(implies(X5,implies(X0,implies(implies(X1,X2),implies(X3,X2)))))|~sQ2_spl)),
% 6.34/1.30 inference(resolution,[status(thm)],[f29,f6])).
% 6.34/1.30 fof(f32,plain,(
% 6.34/1.30 ![X0,X1,X2,X3,X4,X5]: (~is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X3,implies(X4,X1))))|is_a_theorem(implies(X3,implies(X0,X1)))|~is_a_theorem(implies(implies(X1,X5),implies(X0,X4)))|~sQ2_spl)),
% 6.34/1.30 inference(resolution,[status(thm)],[f29,f26])).
% 6.34/1.30 fof(f36,plain,(
% 6.34/1.30 ![X0,X1,X2,X3,X4]: (~is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),implies(X1,X3)))|~is_a_theorem(X4)|is_a_theorem(implies(X1,X3))|~sQ1_spl)),
% 6.34/1.30 inference(resolution,[status(thm)],[f22,f5])).
% 6.34/1.30 fof(f37,definition,(
% 6.34/1.30 ![X0,X1,X2,X3]: (sQ3_spl <=> (~is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),implies(X1,X3)))|is_a_theorem(implies(X1,X3))))),
% 6.34/1.30 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 6.34/1.30 fof(f38,plain,(
% 6.34/1.30 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),implies(X1,X3)))|is_a_theorem(implies(X1,X3))|~sQ3_spl)),
% 6.34/1.30 inference(component_clause,[status(thm)],[f37])).
% 6.34/1.30 fof(f40,plain,(
% 6.34/1.30 sQ3_spl|sQ0_spl|~sQ1_spl),
% 6.34/1.30 inference(split_clause,[status(thm)],[f36,f37,f12,f15])).
% 6.34/1.30 fof(f167,plain,(
% 6.34/1.30 ![X0,X1,X2,X3]: (is_a_theorem(implies(X0,implies(X1,implies(implies(X1,X2),implies(X3,X2)))))|~sQ2_spl)),
% 6.34/1.30 inference(resolution,[status(thm)],[f31,f6])).
% 6.34/1.30 fof(f185,plain,(
% 6.34/1.30 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(X0,X1),implies(X2,implies(X1,implies(X3,X1)))))|~sQ2_spl|~sQ1_spl)),
% 6.34/1.30 inference(resolution,[status(thm)],[f167,f30])).
% 6.34/1.30 fof(f196,plain,(
% 6.34/1.30 ![X0,X1,X2,X3,X4]: (is_a_theorem(implies(X0,implies(X1,implies(implies(implies(X2,X3),X2),implies(X4,X2)))))|~sQ1_spl|~sQ2_spl)),
% 6.34/1.30 inference(resolution,[status(thm)],[f185,f31])).
% 6.34/1.30 fof(f213,plain,(
% 6.34/1.30 ![X0,X1,X2,X3,X4]: (is_a_theorem(implies(X0,implies(X1,implies(X2,X3))))|~is_a_theorem(implies(implies(implies(X2,X3),X4),implies(X1,implies(X0,X3))))|~sQ2_spl)),
% 6.34/1.30 inference(resolution,[status(thm)],[f32,f167])).
% 6.34/1.30 fof(f293,plain,(
% 6.34/1.30 ![X0,X1,X2,X3]: (is_a_theorem(implies(X0,implies(X1,implies(X2,implies(X3,X2)))))|~sQ2_spl|~sQ1_spl)),
% 6.34/1.30 inference(resolution,[status(thm)],[f196,f30])).
% 6.34/1.30 fof(f294,plain,(
% 6.34/1.30 ![X0,X1,X2,X3]: (is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X1),implies(X3,X1))))|~sQ1_spl|~sQ2_spl|~sQ3_spl)),
% 6.34/1.30 inference(resolution,[status(thm)],[f196,f38])).
% 6.34/1.30 fof(f304,plain,(
% 6.34/1.30 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(X1,implies(X2,X1))))|~sQ2_spl|~sQ1_spl|~sQ3_spl)),
% 6.34/1.30 inference(resolution,[status(thm)],[f293,f38])).
% 6.34/1.30 fof(f314,plain,(
% 6.34/1.30 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X0)))|~sQ2_spl|~sQ1_spl|~sQ3_spl)),
% 6.34/1.30 inference(resolution,[status(thm)],[f304,f38])).
% 6.34/1.30 fof(f328,plain,(
% 6.34/1.30 ![X0,X1]: (~is_a_theorem(X0)|is_a_theorem(implies(X1,X0))|~sQ2_spl|~sQ1_spl|~sQ3_spl)),
% 6.34/1.30 inference(resolution,[status(thm)],[f314,f5])).
% 6.34/1.30 fof(f406,plain,(
% 6.34/1.30 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X1),X0),implies(X2,X0)))|~sQ1_spl|~sQ2_spl|~sQ3_spl)),
% 6.34/1.30 inference(resolution,[status(thm)],[f294,f38])).
% 6.34/1.30 fof(f421,plain,(
% 6.34/1.30 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,X1),X0))|is_a_theorem(implies(X2,X0))|~sQ1_spl|~sQ2_spl|~sQ3_spl)),
% 6.34/1.30 inference(resolution,[status(thm)],[f406,f5])).
% 6.34/1.30 fof(f441,plain,(
% 6.34/1.30 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,X1),X0))|~is_a_theorem(X2)|is_a_theorem(X0)|~sQ1_spl|~sQ2_spl|~sQ3_spl)),
% 6.34/1.30 inference(resolution,[status(thm)],[f421,f5])).
% 6.34/1.30 fof(f450,definition,(
% 6.34/1.30 ![X0,X1]: (sQ29_spl <=> (~is_a_theorem(implies(implies(X0,X1),X0))|is_a_theorem(X0)))),
% 6.34/1.30 introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition])).
% 6.34/1.30 fof(f451,plain,(
% 6.34/1.30 ![X0,X1]: (~is_a_theorem(implies(implies(X0,X1),X0))|is_a_theorem(X0)|~sQ29_spl)),
% 6.34/1.30 inference(component_clause,[status(thm)],[f450])).
% 6.34/1.30 fof(f453,plain,(
% 6.34/1.30 sQ29_spl|sQ0_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 6.34/1.30 inference(split_clause,[status(thm)],[f441,f450,f12,f15,f25,f37])).
% 6.34/1.30 fof(f461,plain,(
% 6.34/1.30 ![X0,X1,X2]: (is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(implies(X1,X2),implies(X0,implies(X0,X1))))|~sQ29_spl|~sQ2_spl)),
% 6.34/1.30 inference(resolution,[status(thm)],[f451,f26])).
% 6.34/1.30 fof(f728,plain,(
% 6.34/1.30 ![X0,X1]: (is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(X0,implies(X0,X1)))|~sQ29_spl|~sQ2_spl|~sQ1_spl|~sQ3_spl)),
% 6.34/1.30 inference(resolution,[status(thm)],[f461,f328])).
% 6.34/1.30 fof(f2030,plain,(
% 6.34/1.30 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(X1,implies(implies(X0,X2),X2))))|~sQ1_spl|~sQ2_spl|~sQ3_spl)),
% 6.34/1.30 inference(resolution,[status(thm)],[f213,f406])).
% 6.34/1.30 fof(f2230,plain,(
% 6.34/1.30 ![X0,X1]: (is_a_theorem(implies(X0,implies(implies(X0,X1),X1)))|~sQ29_spl|~sQ2_spl|~sQ1_spl|~sQ3_spl)),
% 6.34/1.30 inference(resolution,[status(thm)],[f2030,f728])).
% 6.34/1.30 fof(f2233,plain,(
% 6.34/1.30 $false|~sQ29_spl|~sQ2_spl|~sQ1_spl|~sQ3_spl),
% 6.34/1.30 inference(backward_subsumption_resolution,[status(thm)],[f7,f2230])).
% 6.34/1.30 fof(f2261,plain,(
% 6.34/1.30 ~sQ29_spl|~sQ2_spl|~sQ1_spl|~sQ3_spl),
% 6.34/1.30 inference(contradiction_clause,[status(thm)],[f2233])).
% 6.34/1.30 fof(f2262,plain,(
% 6.34/1.30 $false),
% 6.34/1.30 inference(sat_refutation,[status(thm)],[f18,f21,f28,f40,f453,f2261])).
% 6.34/1.30 % SZS output end CNFRefutation for theBenchmark.p
% 0.93/1.32 % Elapsed time: 0.946513 seconds
% 0.93/1.32 % CPU time: 7.133361 seconds
% 0.93/1.32 % Total memory used: 122.500 MB
% 0.93/1.32 % Net memory used: 116.259 MB
%------------------------------------------------------------------------------