%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL113-1 : 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 : n016.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 01:09:23 PM UTC 2026
% Result : Unsatisfiable 33.65s 4.71s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL113-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n016.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
% 0.09/0.36 % DateTime : Mon Sep 21 00:10:37 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 33.65/4.71 % Refutation found
% 33.65/4.71 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 33.65/4.71 % SZS output start CNFRefutation for theBenchmark
% 33.65/4.71 fof(f1,axiom,(
% 33.65/4.71 (![X,Y]: (( ~ is_a_theorem(implies(X,Y))| ~ is_a_theorem(X)| is_a_theorem(Y) ) ))),
% 33.65/4.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 33.65/4.71 fof(f2,axiom,(
% 33.65/4.71 (![X,Y]: (is_a_theorem(implies(X,implies(Y,X))) ))),
% 33.65/4.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 33.65/4.71 fof(f3,axiom,(
% 33.65/4.71 (![X,Y,Z]: (is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))) ))),
% 33.65/4.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 33.65/4.71 fof(f4,axiom,(
% 33.65/4.71 (![X,Y]: (is_a_theorem(implies(implies(implies(X,Y),Y),implies(implies(Y,X),X))) ))),
% 33.65/4.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 33.65/4.71 fof(f5,axiom,(
% 33.65/4.71 (![X,Y]: (is_a_theorem(implies(implies(not(X),not(Y)),implies(Y,X))) ))),
% 33.65/4.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 33.65/4.71 fof(f6,negated_conjecture,(
% 33.65/4.71 ~ is_a_theorem(implies(implies(not(a),b),implies(not(b),a))) ),
% 33.65/4.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 33.65/4.71 fof(f7,plain,(
% 33.65/4.71 ![Y]: ((![X]: (~is_a_theorem(implies(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 33.65/4.71 inference(miniscoping,[status(thm)],[f1])).
% 33.65/4.71 fof(f8,plain,(
% 33.65/4.71 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 33.65/4.71 inference(cnf_transformation,[status(thm)],[f7])).
% 33.65/4.71 fof(f9,plain,(
% 33.65/4.71 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X0))))),
% 33.65/4.71 inference(cnf_transformation,[status(thm)],[f2])).
% 33.65/4.71 fof(f10,plain,(
% 33.65/4.71 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))))),
% 33.65/4.71 inference(cnf_transformation,[status(thm)],[f3])).
% 33.65/4.71 fof(f11,plain,(
% 33.65/4.71 ![X0,X1]: (is_a_theorem(implies(implies(implies(X0,X1),X1),implies(implies(X1,X0),X0))))),
% 33.65/4.71 inference(cnf_transformation,[status(thm)],[f4])).
% 33.65/4.71 fof(f12,plain,(
% 33.65/4.71 ![X0,X1]: (is_a_theorem(implies(implies(not(X0),not(X1)),implies(X1,X0))))),
% 33.65/4.71 inference(cnf_transformation,[status(thm)],[f5])).
% 33.65/4.71 fof(f13,plain,(
% 33.65/4.71 ~is_a_theorem(implies(implies(not(a),b),implies(not(b),a)))),
% 33.65/4.71 inference(cnf_transformation,[status(thm)],[f6])).
% 33.65/4.71 fof(f14,plain,(
% 33.65/4.71 ![X0,X1]: (~is_a_theorem(X0)|is_a_theorem(implies(X1,X0)))),
% 33.65/4.71 inference(resolution,[status(thm)],[f8,f9])).
% 33.65/4.71 fof(f15,plain,(
% 33.65/4.71 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(implies(X1,X2),implies(X0,X2))))),
% 33.65/4.71 inference(resolution,[status(thm)],[f10,f8])).
% 33.65/4.71 fof(f20,definition,(
% 33.65/4.71 ![X1]: (sQ1_spl <=> (~is_a_theorem(X1)))),
% 33.65/4.71 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 33.65/4.71 fof(f21,plain,(
% 33.65/4.71 ![X0]: (~is_a_theorem(X0)|~sQ1_spl)),
% 33.65/4.71 inference(component_clause,[status(thm)],[f20])).
% 33.65/4.71 fof(f24,plain,(
% 33.65/4.71 ![X0,X1]: (~is_a_theorem(implies(implies(X0,X1),X1))|is_a_theorem(implies(implies(X1,X0),X0)))),
% 33.65/4.71 inference(resolution,[status(thm)],[f11,f8])).
% 33.65/4.71 fof(f25,plain,(
% 33.65/4.71 ![X0,X1]: (~is_a_theorem(implies(not(X0),not(X1)))|is_a_theorem(implies(X1,X0)))),
% 33.65/4.71 inference(resolution,[status(thm)],[f12,f8])).
% 33.65/4.71 fof(f28,plain,(
% 33.65/4.71 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(X1,X2))|is_a_theorem(implies(X0,X2)))),
% 33.65/4.71 inference(resolution,[status(thm)],[f15,f8])).
% 33.65/4.71 fof(f31,plain,(
% 33.65/4.71 ![X0]: (~is_a_theorem(implies(implies(not(a),b),X0))|~is_a_theorem(implies(X0,implies(not(b),a))))),
% 33.65/4.71 inference(resolution,[status(thm)],[f28,f13])).
% 33.65/4.71 fof(f41,plain,(
% 33.65/4.71 ![X0]: (~is_a_theorem(implies(implies(implies(b,X0),implies(not(a),X0)),implies(not(b),a))))),
% 33.65/4.71 inference(resolution,[status(thm)],[f31,f10])).
% 33.65/4.71 fof(f64,plain,(
% 33.65/4.71 $false|~sQ1_spl),
% 33.65/4.71 inference(backward_subsumption_resolution,[status(thm)],[f12,f21])).
% 33.65/4.71 fof(f68,plain,(
% 33.65/4.71 ~sQ1_spl),
% 33.65/4.71 inference(contradiction_clause,[status(thm)],[f64])).
% 33.65/4.71 fof(f78,plain,(
% 33.65/4.71 ![X0,X1]: (is_a_theorem(implies(implies(X0,X1),X1))|~is_a_theorem(X0))),
% 33.65/4.71 inference(resolution,[status(thm)],[f24,f14])).
% 33.65/4.71 fof(f84,plain,(
% 33.65/4.71 ![X0,X1,X2]: (~is_a_theorem(implies(X0,implies(not(X1),not(X2))))|is_a_theorem(implies(X0,implies(X2,X1))))),
% 33.65/4.71 inference(resolution,[status(thm)],[f28,f12])).
% 33.65/4.71 fof(f92,plain,(
% 33.65/4.71 ![X0,X1,X2]: (~is_a_theorem(X0)|~is_a_theorem(implies(X1,implies(X0,X2)))|is_a_theorem(implies(X1,X2)))),
% 33.65/4.71 inference(resolution,[status(thm)],[f78,f28])).
% 33.65/4.71 fof(f151,plain,(
% 33.65/4.71 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,implies(not(X1),not(X2))),implies(X2,X1)))|~is_a_theorem(X0))),
% 33.65/4.71 inference(resolution,[status(thm)],[f84,f78])).
% 33.65/4.71 fof(f152,plain,(
% 33.65/4.71 ![X0,X1]: (is_a_theorem(implies(not(X0),implies(X0,X1))))),
% 33.65/4.71 inference(resolution,[status(thm)],[f84,f9])).
% 33.65/4.71 fof(f164,plain,(
% 33.65/4.71 ![X0,X1]: (is_a_theorem(implies(not(not(X0)),implies(X1,X0))))),
% 33.65/4.71 inference(resolution,[status(thm)],[f152,f84])).
% 33.65/4.71 fof(f751,plain,(
% 33.65/4.71 ![X0,X1]: (~is_a_theorem(X0)|is_a_theorem(implies(not(not(X1)),X1)))),
% 33.65/4.71 inference(resolution,[status(thm)],[f164,f92])).
% 33.65/4.71 fof(f754,definition,(
% 33.65/4.71 ![X1]: (sQ29_spl <=> (is_a_theorem(implies(not(not(X1)),X1))))),
% 33.65/4.71 introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition])).
% 33.65/4.71 fof(f755,plain,(
% 33.65/4.71 ![X0]: (is_a_theorem(implies(not(not(X0)),X0))|~sQ29_spl)),
% 33.65/4.71 inference(component_clause,[status(thm)],[f754])).
% 33.65/4.71 fof(f757,plain,(
% 33.65/4.71 sQ1_spl|sQ29_spl),
% 33.65/4.71 inference(split_clause,[status(thm)],[f751,f20,f754])).
% 33.65/4.71 fof(f781,plain,(
% 33.65/4.71 ![X0]: (is_a_theorem(implies(X0,not(not(X0))))|~sQ29_spl)),
% 33.65/4.71 inference(resolution,[status(thm)],[f755,f25])).
% 33.65/4.71 fof(f1700,plain,(
% 33.65/4.71 ~is_a_theorem(implies(b,not(not(b))))),
% 33.65/4.71 inference(resolution,[status(thm)],[f41,f151])).
% 33.65/4.71 fof(f1710,plain,(
% 33.65/4.71 $false|~sQ29_spl),
% 33.65/4.71 inference(forward_subsumption_resolution,[status(thm)],[f1700,f781])).
% 33.65/4.71 fof(f1711,plain,(
% 33.65/4.71 ~sQ29_spl),
% 33.65/4.71 inference(contradiction_clause,[status(thm)],[f1710])).
% 33.65/4.71 fof(f1712,plain,(
% 33.65/4.71 $false),
% 33.65/4.71 inference(sat_refutation,[status(thm)],[f68,f757,f1711])).
% 33.65/4.71 % SZS output end CNFRefutation for theBenchmark.p
% 4.56/4.76 % Elapsed time: 4.389130 seconds
% 4.56/4.76 % CPU time: 34.593143 seconds
% 4.56/4.76 % Total memory used: 326.437 MB
% 4.56/4.76 % Net memory used: 266.137 MB
%------------------------------------------------------------------------------