%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL083-1 : 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 : n020.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 01:09:19 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.44s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL083-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n020.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 00:05:02 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.10/0.44 % Refutation found
% 0.10/0.44 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.44 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.44 fof(f1,axiom,(
% 0.10/0.44 (![X,Y]: (( ~ is_a_theorem(implies(X,Y))| ~ is_a_theorem(X)| is_a_theorem(Y) ) ))),
% 0.10/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.44 fof(f2,axiom,(
% 0.10/0.44 (![X,Y,Z,U]: (is_a_theorem(implies(implies(implies(X,Y),Z),implies(implies(Z,X),implies(U,X)))) ))),
% 0.10/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.44 fof(f3,negated_conjecture,(
% 0.10/0.44 ~ is_a_theorem(implies(implies(implies(a,b),a),a)) ),
% 0.10/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.44 fof(f4,plain,(
% 0.10/0.44 ![Y]: ((![X]: (~is_a_theorem(implies(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 0.10/0.44 inference(miniscoping,[status(thm)],[f1])).
% 0.10/0.44 fof(f5,plain,(
% 0.10/0.44 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 0.10/0.44 inference(cnf_transformation,[status(thm)],[f4])).
% 0.10/0.44 fof(f6,plain,(
% 0.10/0.44 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(X2,X0),implies(X3,X0)))))),
% 0.10/0.44 inference(cnf_transformation,[status(thm)],[f2])).
% 0.10/0.44 fof(f7,plain,(
% 0.10/0.44 ~is_a_theorem(implies(implies(implies(a,b),a),a))),
% 0.10/0.44 inference(cnf_transformation,[status(thm)],[f3])).
% 0.10/0.44 fof(f8,plain,(
% 0.10/0.44 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(X0,X1),X2))|is_a_theorem(implies(implies(X2,X0),implies(X3,X0))))),
% 0.10/0.44 inference(resolution,[status(thm)],[f6,f5])).
% 0.10/0.44 fof(f9,plain,(
% 0.10/0.44 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(X0,X1),X2))|~is_a_theorem(implies(X2,X0))|is_a_theorem(implies(X3,X0)))),
% 0.10/0.44 inference(resolution,[status(thm)],[f8,f5])).
% 0.10/0.44 fof(f11,plain,(
% 0.10/0.44 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(X0,X1),X2))|~is_a_theorem(implies(X2,X0))|~is_a_theorem(X3)|is_a_theorem(X0))),
% 0.10/0.44 inference(resolution,[status(thm)],[f9,f5])).
% 0.10/0.44 fof(f12,definition,(
% 0.10/0.44 ![X0,X1,X2]: (sQ0_spl <=> (~is_a_theorem(implies(implies(X0,X1),X2))|~is_a_theorem(implies(X2,X0))|is_a_theorem(X0)))),
% 0.10/0.44 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.10/0.44 fof(f13,plain,(
% 0.10/0.44 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,X1),X2))|~is_a_theorem(implies(X2,X0))|is_a_theorem(X0)|~sQ0_spl)),
% 0.10/0.44 inference(component_clause,[status(thm)],[f12])).
% 0.10/0.44 fof(f15,definition,(
% 0.10/0.44 ![X3]: (sQ1_spl <=> (~is_a_theorem(X3)))),
% 0.10/0.44 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.10/0.44 fof(f16,plain,(
% 0.10/0.44 ![X0]: (~is_a_theorem(X0)|~sQ1_spl)),
% 0.10/0.44 inference(component_clause,[status(thm)],[f15])).
% 0.10/0.44 fof(f18,plain,(
% 0.10/0.44 sQ0_spl|sQ1_spl),
% 0.10/0.44 inference(split_clause,[status(thm)],[f11,f12,f15])).
% 0.10/0.44 fof(f36,plain,(
% 0.10/0.44 ![X0,X1,X2,X3,X4]: (~is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(implies(X1,X4),X0)))|is_a_theorem(implies(implies(X0,X1),implies(X2,X1)))|~sQ0_spl)),
% 0.10/0.44 inference(resolution,[status(thm)],[f13,f6])).
% 0.10/0.44 fof(f45,plain,(
% 0.10/0.44 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(X0,X1),implies(X2,X1)))|~is_a_theorem(implies(implies(X0,X3),implies(implies(X0,X1),implies(X2,X1))))|~sQ0_spl)),
% 0.10/0.44 inference(resolution,[status(thm)],[f36,f8])).
% 0.10/0.44 fof(f46,plain,(
% 0.10/0.44 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X1),X0),implies(X2,X0)))|~sQ0_spl)),
% 0.10/0.44 inference(resolution,[status(thm)],[f45,f6])).
% 0.10/0.44 fof(f48,plain,(
% 0.10/0.44 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(implies(X0,X1),X2),X1),implies(X0,X1)))|~sQ0_spl)),
% 0.10/0.44 inference(resolution,[status(thm)],[f46,f45])).
% 0.10/0.44 fof(f52,plain,(
% 0.10/0.44 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(X1,X3),X1)))|is_a_theorem(implies(X0,X1))|~sQ0_spl)),
% 0.10/0.44 inference(resolution,[status(thm)],[f46,f13])).
% 0.10/0.44 fof(f69,plain,(
% 0.10/0.44 $false|~sQ1_spl),
% 0.10/0.44 inference(backward_subsumption_resolution,[status(thm)],[f6,f16])).
% 0.10/0.44 fof(f70,plain,(
% 0.10/0.44 ~sQ1_spl),
% 0.10/0.44 inference(contradiction_clause,[status(thm)],[f69])).
% 0.10/0.44 fof(f179,plain,(
% 0.10/0.44 ![X0,X1]: (is_a_theorem(implies(implies(implies(X0,X1),X0),X0))|~sQ0_spl)),
% 0.10/0.44 inference(resolution,[status(thm)],[f52,f48])).
% 0.10/0.44 fof(f191,plain,(
% 0.10/0.44 $false|~sQ0_spl),
% 0.10/0.44 inference(backward_subsumption_resolution,[status(thm)],[f7,f179])).
% 0.10/0.44 fof(f197,plain,(
% 0.10/0.44 ~sQ0_spl),
% 0.10/0.44 inference(contradiction_clause,[status(thm)],[f191])).
% 0.10/0.45 fof(f198,plain,(
% 0.10/0.45 $false),
% 0.10/0.45 inference(sat_refutation,[status(thm)],[f18,f70,f197])).
% 0.10/0.45 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.47 % Elapsed time: 0.103632 seconds
% 0.10/0.47 % CPU time: 0.540081 seconds
% 0.10/0.47 % Total memory used: 62.427 MB
% 0.10/0.47 % Net memory used: 60.785 MB
%------------------------------------------------------------------------------