%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL025-1 : 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 : n004.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 01:09:13 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL025-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n004.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 00:00:34 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.36 % Drodi V4.1.1
% 0.09/0.39 % Refutation found
% 0.09/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.39 fof(f1,axiom,(
% 0.09/0.39 (![X,Y]: (( ~ is_a_theorem(implies(X,Y))| ~ is_a_theorem(X)| is_a_theorem(Y) ) ))),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f2,axiom,(
% 0.09/0.39 (![X,Y]: (is_a_theorem(implies(X,implies(Y,X))) ))),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f4,axiom,(
% 0.09/0.39 (![X,Y,Z]: (is_a_theorem(implies(implies(X,implies(Y,Z)),implies(implies(X,Y),implies(X,Z)))) ))),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f5,negated_conjecture,(
% 0.09/0.39 ~ is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c)))) ),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f6,plain,(
% 0.09/0.39 ![Y]: ((![X]: (~is_a_theorem(implies(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 0.09/0.39 inference(miniscoping,[status(thm)],[f1])).
% 0.09/0.39 fof(f7,plain,(
% 0.09/0.39 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f6])).
% 0.09/0.39 fof(f8,plain,(
% 0.09/0.39 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X0))))),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f2])).
% 0.09/0.39 fof(f10,plain,(
% 0.09/0.39 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(X0,X1),implies(X0,X2)))))),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f4])).
% 0.09/0.39 fof(f11,plain,(
% 0.09/0.39 ~is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c))))),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f5])).
% 0.09/0.39 fof(f12,plain,(
% 0.09/0.39 ![X0,X1]: (~is_a_theorem(X0)|is_a_theorem(implies(X1,X0)))),
% 0.09/0.39 inference(resolution,[status(thm)],[f7,f8])).
% 0.09/0.39 fof(f13,plain,(
% 0.09/0.39 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(X1,implies(X2,X1)))))),
% 0.09/0.39 inference(resolution,[status(thm)],[f12,f8])).
% 0.09/0.39 fof(f14,plain,(
% 0.09/0.39 ![X0,X1,X2]: (~is_a_theorem(X0)|is_a_theorem(implies(X1,implies(X2,X1))))),
% 0.09/0.39 inference(resolution,[status(thm)],[f13,f7])).
% 0.09/0.39 fof(f16,definition,(
% 0.09/0.39 ![X0]: (sQ0_spl <=> (~is_a_theorem(X0)))),
% 0.09/0.39 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.09/0.39 fof(f17,plain,(
% 0.09/0.39 ![X0]: (~is_a_theorem(X0)|~sQ0_spl)),
% 0.09/0.39 inference(component_clause,[status(thm)],[f16])).
% 0.09/0.39 fof(f19,definition,(
% 0.09/0.39 ![X1,X2]: (sQ1_spl <=> (is_a_theorem(implies(X1,implies(X2,X1)))))),
% 0.09/0.39 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.09/0.39 fof(f20,plain,(
% 0.09/0.39 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X0)))|~sQ1_spl)),
% 0.09/0.39 inference(component_clause,[status(thm)],[f19])).
% 0.09/0.39 fof(f22,plain,(
% 0.09/0.39 sQ0_spl|sQ1_spl),
% 0.09/0.39 inference(split_clause,[status(thm)],[f14,f16,f19])).
% 0.09/0.39 fof(f23,plain,(
% 0.09/0.39 $false|~sQ0_spl),
% 0.09/0.39 inference(backward_subsumption_resolution,[status(thm)],[f13,f17])).
% 0.09/0.39 fof(f25,plain,(
% 0.09/0.39 ~sQ0_spl),
% 0.09/0.39 inference(contradiction_clause,[status(thm)],[f23])).
% 0.09/0.39 fof(f42,plain,(
% 0.09/0.39 ![X0,X1,X2]: (~is_a_theorem(implies(X0,implies(X1,X2)))|is_a_theorem(implies(implies(X0,X1),implies(X0,X2))))),
% 0.09/0.39 inference(resolution,[status(thm)],[f10,f7])).
% 0.09/0.39 fof(f43,plain,(
% 0.09/0.39 ![X0,X1,X2]: (~is_a_theorem(implies(X0,implies(X1,X2)))|~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(X0,X2)))),
% 0.09/0.39 inference(resolution,[status(thm)],[f42,f7])).
% 0.09/0.39 fof(f48,plain,(
% 0.09/0.39 ![X0,X1,X2]: (~is_a_theorem(implies(X0,implies(implies(X1,X0),X2)))|is_a_theorem(implies(X0,X2))|~sQ1_spl)),
% 0.09/0.39 inference(resolution,[status(thm)],[f43,f20])).
% 0.09/0.39 fof(f93,plain,(
% 0.09/0.39 ![X0,X1,X2]: (is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(implies(X2,X0),X1))|~sQ1_spl)),
% 0.09/0.39 inference(resolution,[status(thm)],[f48,f12])).
% 0.09/0.39 fof(f109,plain,(
% 0.09/0.39 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1))))|~sQ1_spl)),
% 0.09/0.39 inference(resolution,[status(thm)],[f93,f10])).
% 0.09/0.39 fof(f110,plain,(
% 0.09/0.39 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(X1,X2)))|~is_a_theorem(implies(X1,implies(X0,X2)))|~sQ1_spl)),
% 0.09/0.39 inference(resolution,[status(thm)],[f93,f42])).
% 0.09/0.39 fof(f234,plain,(
% 0.09/0.39 ~is_a_theorem(implies(implies(b,c),implies(implies(a,b),implies(a,c))))|~sQ1_spl),
% 0.09/0.39 inference(resolution,[status(thm)],[f110,f11])).
% 0.09/0.39 fof(f241,plain,(
% 0.09/0.39 $false|~sQ1_spl),
% 0.09/0.39 inference(forward_subsumption_resolution,[status(thm)],[f234,f109])).
% 0.13/0.39 fof(f242,plain,(
% 0.13/0.39 ~sQ1_spl),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f241])).
% 0.13/0.39 fof(f243,plain,(
% 0.13/0.39 $false),
% 0.13/0.39 inference(sat_refutation,[status(thm)],[f22,f25,f242])).
% 0.13/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.41 % Elapsed time: 0.049870 seconds
% 0.13/0.41 % CPU time: 0.179380 seconds
% 0.13/0.41 % Total memory used: 20.954 MB
% 0.13/0.41 % Net memory used: 20.593 MB
%------------------------------------------------------------------------------