%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL036-1 : 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 01:09:14 PM UTC 2026
% Result : Unsatisfiable 0.16s 11.12s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL036-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/10.59 % Computer : n026.cluster.edu
% 0.12/10.59 % Model : x86_64 x86_64
% 0.12/10.59 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/10.59 % Memory : 8046.5625MB
% 0.12/10.59 % OS : Linux 6.8.0-71-generic
% 0.12/10.59 % CPULimit : 300
% 0.12/10.59 % WCLimit : 300
% 0.12/10.59 % DateTime : Mon Sep 21 00:04:03 UTC 2026
% 0.12/10.59 % CPUTime :
% 0.16/10.60 % Drodi V4.1.1
% 0.16/11.12 % Refutation found
% 0.16/11.12 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.16/11.12 % SZS output start CNFRefutation for theBenchmark
% 0.16/11.12 fof(f1,axiom,(
% 0.16/11.12 (![X,Y]: (( ~ is_a_theorem(implies(X,Y))| ~ is_a_theorem(X)| is_a_theorem(Y) ) ))),
% 0.16/11.12 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/11.12 fof(f2,axiom,(
% 0.16/11.12 (![X,Y,Z,U,V]: (is_a_theorem(implies(implies(implies(implies(implies(X,Y),implies(Z,falsehood)),U),V),implies(implies(V,X),implies(Z,X)))) ))),
% 0.16/11.12 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/11.12 fof(f3,negated_conjecture,(
% 0.16/11.12 ~ is_a_theorem(implies(implies(implies(a,falsehood),falsehood),a)) ),
% 0.16/11.12 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/11.12 fof(f4,plain,(
% 0.16/11.12 ![Y]: ((![X]: (~is_a_theorem(implies(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 0.16/11.12 inference(miniscoping,[status(thm)],[f1])).
% 0.16/11.12 fof(f5,plain,(
% 0.16/11.12 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 0.16/11.12 inference(cnf_transformation,[status(thm)],[f4])).
% 0.16/11.12 fof(f6,plain,(
% 0.16/11.12 ![X0,X1,X2,X3,X4]: (is_a_theorem(implies(implies(implies(implies(implies(X0,X1),implies(X2,falsehood)),X3),X4),implies(implies(X4,X0),implies(X2,X0)))))),
% 0.16/11.12 inference(cnf_transformation,[status(thm)],[f2])).
% 0.16/11.12 fof(f7,plain,(
% 0.16/11.12 ~is_a_theorem(implies(implies(implies(a,falsehood),falsehood),a))),
% 0.16/11.12 inference(cnf_transformation,[status(thm)],[f3])).
% 0.16/11.12 fof(f8,plain,(
% 0.16/11.12 ![X0,X1,X2,X3,X4]: (~is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,falsehood)),X3),X4))|is_a_theorem(implies(implies(X4,X0),implies(X2,X0))))),
% 0.16/11.12 inference(resolution,[status(thm)],[f6,f5])).
% 0.16/11.12 fof(f9,plain,(
% 0.16/11.12 ![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)))))),
% 0.16/11.12 inference(resolution,[status(thm)],[f8,f6])).
% 0.16/11.12 fof(f10,plain,(
% 0.16/11.12 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(X0,implies(falsehood,X1)),X2),implies(X3,X2))))),
% 0.16/11.12 inference(resolution,[status(thm)],[f9,f8])).
% 0.16/11.12 fof(f11,plain,(
% 0.16/11.12 ![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))))),
% 0.16/11.12 inference(resolution,[status(thm)],[f9,f5])).
% 0.16/11.12 fof(f12,plain,(
% 0.16/11.12 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X1),X2),implies(falsehood,X2))))),
% 0.16/11.12 inference(resolution,[status(thm)],[f10,f8])).
% 0.16/11.12 fof(f14,plain,(
% 0.16/11.12 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(falsehood,X0),X1),implies(X2,X1))))),
% 0.16/11.12 inference(resolution,[status(thm)],[f12,f8])).
% 0.16/11.12 fof(f27,definition,(
% 0.16/11.12 ![X0]: (sQ0_spl <=> (~is_a_theorem(X0)))),
% 0.16/11.12 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.16/11.12 fof(f28,plain,(
% 0.16/11.12 ![X0]: (~is_a_theorem(X0)|~sQ0_spl)),
% 0.16/11.12 inference(component_clause,[status(thm)],[f27])).
% 0.16/11.12 fof(f50,plain,(
% 0.16/11.12 $false|~sQ0_spl),
% 0.16/11.12 inference(backward_subsumption_resolution,[status(thm)],[f6,f28])).
% 0.16/11.12 fof(f57,plain,(
% 0.16/11.12 ~sQ0_spl),
% 0.16/11.12 inference(contradiction_clause,[status(thm)],[f50])).
% 0.16/11.12 fof(f112,plain,(
% 0.16/11.12 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(X1,implies(X2,X1)))))),
% 0.16/11.12 inference(resolution,[status(thm)],[f14,f11])).
% 0.16/11.12 fof(f116,plain,(
% 0.16/11.12 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(X0,implies(X1,X0)),X2),implies(X3,X2))))),
% 0.16/11.12 inference(resolution,[status(thm)],[f112,f8])).
% 0.16/11.12 fof(f120,plain,(
% 0.16/11.12 ![X0,X1,X2]: (~is_a_theorem(X0)|is_a_theorem(implies(X1,implies(X2,X1))))),
% 0.16/11.12 inference(resolution,[status(thm)],[f112,f5])).
% 0.16/11.12 fof(f121,definition,(
% 0.16/11.12 ![X1,X2]: (sQ7_spl <=> (is_a_theorem(implies(X1,implies(X2,X1)))))),
% 0.16/11.12 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.16/11.12 fof(f122,plain,(
% 0.16/11.12 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X0)))|~sQ7_spl)),
% 0.16/11.12 inference(component_clause,[status(thm)],[f121])).
% 0.16/11.12 fof(f124,plain,(
% 0.16/11.12 sQ0_spl|sQ7_spl),
% 0.16/11.12 inference(split_clause,[status(thm)],[f120,f27,f121])).
% 0.16/11.12 fof(f138,plain,(
% 0.16/11.12 ![X0,X1,X2,X3,X4]: (is_a_theorem(implies(implies(implies(X0,implies(implies(implies(X1,X2),implies(X3,falsehood)),X4)),X1),implies(X3,X1)))|~sQ7_spl)),
% 0.16/11.12 inference(resolution,[status(thm)],[f122,f8])).
% 0.16/11.12 fof(f216,plain,(
% 0.16/11.12 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(X0,implies(X1,X0)),X2))|is_a_theorem(implies(X3,X2)))),
% 0.16/11.13 inference(resolution,[status(thm)],[f116,f5])).
% 0.16/11.13 fof(f329,plain,(
% 0.16/11.13 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(implies(X1,X3),implies(X0,falsehood)),X2)))|~sQ7_spl)),
% 0.16/11.13 inference(resolution,[status(thm)],[f138,f8])).
% 0.16/11.13 fof(f555,plain,(
% 0.16/11.13 ![X0,X1,X2,X3,X4]: (is_a_theorem(implies(X0,implies(implies(implies(X1,X2),implies(X3,falsehood)),implies(X4,implies(X3,X1)))))|~sQ7_spl)),
% 0.16/11.13 inference(resolution,[status(thm)],[f329,f216])).
% 0.16/11.13 fof(f1028,plain,(
% 0.16/11.13 ![X0,X1,X2,X3,X4]: (~is_a_theorem(X0)|is_a_theorem(implies(implies(implies(X1,X2),implies(X3,falsehood)),implies(X4,implies(X3,X1))))|~sQ7_spl)),
% 0.16/11.13 inference(resolution,[status(thm)],[f555,f5])).
% 0.16/11.13 fof(f1031,definition,(
% 0.16/11.13 ![X1,X2,X3,X4]: (sQ38_spl <=> (is_a_theorem(implies(implies(implies(X1,X2),implies(X3,falsehood)),implies(X4,implies(X3,X1))))))),
% 0.16/11.13 introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition])).
% 0.16/11.13 fof(f1032,plain,(
% 0.16/11.13 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(X0,X1),implies(X2,falsehood)),implies(X3,implies(X2,X0))))|~sQ38_spl)),
% 0.16/11.13 inference(component_clause,[status(thm)],[f1031])).
% 0.16/11.13 fof(f1034,plain,(
% 0.16/11.13 sQ0_spl|sQ38_spl|~sQ7_spl),
% 0.16/11.13 inference(split_clause,[status(thm)],[f1028,f27,f1031,f121])).
% 0.16/11.13 fof(f1070,plain,(
% 0.16/11.13 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(X0,X1),implies(X2,falsehood)))|is_a_theorem(implies(X3,implies(X2,X0)))|~sQ38_spl)),
% 0.16/11.13 inference(resolution,[status(thm)],[f1032,f5])).
% 0.16/11.13 fof(f1216,plain,(
% 0.16/11.13 ![X0,X1,X2,X3]: (is_a_theorem(implies(X0,implies(implies(implies(X1,X2),implies(X3,falsehood)),implies(X3,X1))))|~sQ38_spl|~sQ7_spl)),
% 0.16/11.13 inference(resolution,[status(thm)],[f1070,f329])).
% 0.16/11.13 fof(f1244,plain,(
% 0.16/11.13 ![X0,X1,X2,X3]: (~is_a_theorem(X0)|is_a_theorem(implies(implies(implies(X1,X2),implies(X3,falsehood)),implies(X3,X1)))|~sQ38_spl|~sQ7_spl)),
% 0.16/11.13 inference(resolution,[status(thm)],[f1216,f5])).
% 0.16/11.13 fof(f1247,definition,(
% 0.16/11.13 ![X1,X2,X3]: (sQ43_spl <=> (is_a_theorem(implies(implies(implies(X1,X2),implies(X3,falsehood)),implies(X3,X1)))))),
% 0.16/11.13 introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition])).
% 0.16/11.13 fof(f1248,plain,(
% 0.16/11.13 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X1),implies(X2,falsehood)),implies(X2,X0)))|~sQ43_spl)),
% 0.16/11.13 inference(component_clause,[status(thm)],[f1247])).
% 0.16/11.13 fof(f1250,plain,(
% 0.16/11.13 sQ0_spl|sQ43_spl|~sQ38_spl|~sQ7_spl),
% 0.16/11.13 inference(split_clause,[status(thm)],[f1244,f27,f1247,f1031,f121])).
% 0.16/11.13 fof(f1283,plain,(
% 0.16/11.13 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(X0,implies(X1,X2)),X1),implies(X3,X1)))|~sQ43_spl)),
% 0.16/11.13 inference(resolution,[status(thm)],[f1248,f8])).
% 0.16/11.13 fof(f1287,plain,(
% 0.16/11.13 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,X1),implies(X2,falsehood)))|is_a_theorem(implies(X2,X0))|~sQ43_spl)),
% 0.16/11.13 inference(resolution,[status(thm)],[f1248,f5])).
% 0.16/11.13 fof(f1378,plain,(
% 0.16/11.13 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2)))|~sQ43_spl)),
% 0.16/11.13 inference(resolution,[status(thm)],[f1283,f8])).
% 0.16/11.13 fof(f1457,plain,(
% 0.16/11.13 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(implies(X0,falsehood),X1),X2),implies(X0,X2)))|~sQ43_spl)),
% 0.16/11.13 inference(resolution,[status(thm)],[f1378,f8])).
% 0.16/11.13 fof(f4640,plain,(
% 0.16/11.13 ![X0,X1]: (is_a_theorem(implies(X0,implies(implies(X0,falsehood),X1)))|~sQ43_spl)),
% 0.16/11.13 inference(resolution,[status(thm)],[f1457,f1287])).
% 0.16/11.13 fof(f4692,plain,(
% 0.16/11.13 ![X0,X1]: (is_a_theorem(implies(implies(implies(X0,X1),falsehood),X0))|~sQ43_spl)),
% 0.16/11.13 inference(resolution,[status(thm)],[f4640,f1287])).
% 0.16/11.13 fof(f4738,plain,(
% 0.16/11.13 $false|~sQ43_spl),
% 0.16/11.13 inference(backward_subsumption_resolution,[status(thm)],[f7,f4692])).
% 0.16/11.13 fof(f4753,plain,(
% 0.16/11.13 ~sQ43_spl),
% 0.16/11.13 inference(contradiction_clause,[status(thm)],[f4738])).
% 0.16/11.13 fof(f4754,plain,(
% 0.16/11.13 $false),
% 0.16/11.13 inference(sat_refutation,[status(thm)],[f57,f124,f1034,f1250,f4753])).
% 0.16/11.13 % SZS output end CNFRefutation for theBenchmark.p
% 0.16/11.16 % Elapsed time: 0.553796 seconds
% 0.16/11.16 % CPU time: 3.873674 seconds
% 0.16/11.16 % Total memory used: 95.366 MB
% 0.16/11.16 % Net memory used: 89.061 MB
%------------------------------------------------------------------------------