%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL083-2 : TPTP v9.3.1. Bugfixed v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n017.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 0.09s 0.50s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL083-2 : TPTP v9.3.1. Bugfixed v1.2.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n017.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 20 23:59:12 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 0.09/0.50 % Refutation found
% 0.09/0.50 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.50 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.50 fof(f1,axiom,(
% 0.09/0.50 (![X,Y]: (( ~ is_a_theorem(implies(X,Y))| ~ is_a_theorem(X)| is_a_theorem(Y) ) ))),
% 0.09/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.50 fof(f2,axiom,(
% 0.09/0.50 (![X,Y,Z,U]: (is_a_theorem(implies(implies(implies(X,Y),Z),implies(implies(Z,X),implies(U,X)))) ))),
% 0.09/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.50 fof(f3,axiom,(
% 0.09/0.50 (![X]: (is_a_theorem(implies(X,X)) ))),
% 0.09/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.50 fof(f4,negated_conjecture,(
% 0.09/0.50 ~ is_a_theorem(implies(implies(implies(a,b),a),a)) ),
% 0.09/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.50 fof(f5,plain,(
% 0.09/0.50 ![Y]: ((![X]: (~is_a_theorem(implies(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 0.09/0.50 inference(miniscoping,[status(thm)],[f1])).
% 0.09/0.50 fof(f6,plain,(
% 0.09/0.50 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 0.09/0.50 inference(cnf_transformation,[status(thm)],[f5])).
% 0.09/0.50 fof(f7,plain,(
% 0.09/0.50 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(X2,X0),implies(X3,X0)))))),
% 0.09/0.50 inference(cnf_transformation,[status(thm)],[f2])).
% 0.09/0.50 fof(f8,plain,(
% 0.09/0.50 ![X0]: (is_a_theorem(implies(X0,X0)))),
% 0.09/0.50 inference(cnf_transformation,[status(thm)],[f3])).
% 0.09/0.50 fof(f9,plain,(
% 0.09/0.50 ~is_a_theorem(implies(implies(implies(a,b),a),a))),
% 0.09/0.50 inference(cnf_transformation,[status(thm)],[f4])).
% 0.09/0.50 fof(f11,plain,(
% 0.09/0.50 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(X0,X1),X2))|is_a_theorem(implies(implies(X2,X0),implies(X3,X0))))),
% 0.09/0.50 inference(resolution,[status(thm)],[f7,f6])).
% 0.09/0.50 fof(f12,plain,(
% 0.09/0.50 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(X0,X1),X2))|~is_a_theorem(implies(X2,X0))|is_a_theorem(implies(X3,X0)))),
% 0.09/0.50 inference(resolution,[status(thm)],[f11,f6])).
% 0.09/0.50 fof(f14,plain,(
% 0.09/0.50 ![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))),
% 0.09/0.50 inference(resolution,[status(thm)],[f12,f6])).
% 0.09/0.50 fof(f15,definition,(
% 0.09/0.50 ![X0,X1,X2]: (sQ0_spl <=> (~is_a_theorem(implies(implies(X0,X1),X2))|~is_a_theorem(implies(X2,X0))|is_a_theorem(X0)))),
% 0.09/0.50 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.09/0.50 fof(f16,plain,(
% 0.09/0.50 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,X1),X2))|~is_a_theorem(implies(X2,X0))|is_a_theorem(X0)|~sQ0_spl)),
% 0.09/0.50 inference(component_clause,[status(thm)],[f15])).
% 0.09/0.50 fof(f18,definition,(
% 0.09/0.50 ![X3]: (sQ1_spl <=> (~is_a_theorem(X3)))),
% 0.09/0.50 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.09/0.50 fof(f19,plain,(
% 0.09/0.50 ![X0]: (~is_a_theorem(X0)|~sQ1_spl)),
% 0.09/0.50 inference(component_clause,[status(thm)],[f18])).
% 0.09/0.50 fof(f21,plain,(
% 0.09/0.50 sQ0_spl|sQ1_spl),
% 0.09/0.50 inference(split_clause,[status(thm)],[f14,f15,f18])).
% 0.09/0.50 fof(f40,plain,(
% 0.09/0.50 ![X0,X1,X2,X3,X4]: (~is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X3,X1)))|is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(implies(X1,X4),X3))|~sQ0_spl)),
% 0.09/0.50 inference(resolution,[status(thm)],[f16,f11])).
% 0.09/0.50 fof(f42,plain,(
% 0.09/0.50 ![X0,X1]: (~is_a_theorem(implies(implies(X0,X1),X0))|is_a_theorem(X0)|~sQ0_spl)),
% 0.09/0.50 inference(resolution,[status(thm)],[f16,f8])).
% 0.09/0.50 fof(f43,plain,(
% 0.09/0.50 ![X0,X1,X2]: (is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(implies(X1,X2),implies(X0,X1)))|~sQ0_spl)),
% 0.09/0.50 inference(resolution,[status(thm)],[f42,f11])).
% 0.09/0.50 fof(f45,plain,(
% 0.09/0.50 ![X0,X1]: (is_a_theorem(implies(implies(X0,X1),implies(X1,X1)))|~sQ0_spl)),
% 0.09/0.50 inference(resolution,[status(thm)],[f43,f7])).
% 0.09/0.50 fof(f46,plain,(
% 0.09/0.50 ![X0,X1,X2]: (is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(implies(X1,X2),X1))|~sQ0_spl)),
% 0.09/0.50 inference(resolution,[status(thm)],[f43,f11])).
% 0.09/0.50 fof(f53,plain,(
% 0.09/0.50 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X1)))|~sQ0_spl)),
% 0.09/0.50 inference(resolution,[status(thm)],[f46,f45])).
% 0.09/0.50 fof(f60,plain,(
% 0.09/0.50 ![X0,X1]: (~is_a_theorem(X0)|is_a_theorem(implies(X1,X1))|~sQ0_spl)),
% 0.09/0.50 inference(resolution,[status(thm)],[f53,f6])).
% 0.09/0.50 fof(f61,definition,(
% 0.09/0.50 ![X1]: (sQ4_spl <=> (is_a_theorem(implies(X1,X1))))),
% 0.09/0.50 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.09/0.50 fof(f62,plain,(
% 0.09/0.51 ![X0]: (is_a_theorem(implies(X0,X0))|~sQ4_spl)),
% 0.09/0.51 inference(component_clause,[status(thm)],[f61])).
% 0.09/0.51 fof(f64,plain,(
% 0.09/0.51 sQ1_spl|sQ4_spl|~sQ0_spl),
% 0.09/0.51 inference(split_clause,[status(thm)],[f60,f18,f61,f15])).
% 0.09/0.51 fof(f65,plain,(
% 0.09/0.51 $false|~sQ1_spl),
% 0.09/0.51 inference(backward_subsumption_resolution,[status(thm)],[f7,f19])).
% 0.09/0.51 fof(f67,plain,(
% 0.09/0.51 ~sQ1_spl),
% 0.09/0.51 inference(contradiction_clause,[status(thm)],[f65])).
% 0.09/0.51 fof(f81,plain,(
% 0.09/0.51 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X1),X0),implies(X2,X0)))|~sQ4_spl)),
% 0.09/0.51 inference(resolution,[status(thm)],[f11,f62])).
% 0.09/0.51 fof(f89,plain,(
% 0.09/0.51 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(X0,X1),implies(X1,X2)),implies(X3,implies(X1,X2))))|~sQ4_spl)),
% 0.09/0.51 inference(resolution,[status(thm)],[f81,f11])).
% 0.09/0.51 fof(f141,plain,(
% 0.09/0.51 ![X0,X1,X2,X3,X4,X5]: (~is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(implies(X1,X4),X0)))|is_a_theorem(implies(X5,implies(implies(X0,X1),implies(X2,X1)))))),
% 0.09/0.51 inference(resolution,[status(thm)],[f7,f12])).
% 0.09/0.51 fof(f203,plain,(
% 0.09/0.51 ![X0,X1,X2,X3]: (is_a_theorem(implies(X0,implies(implies(implies(implies(X1,X2),X3),X2),implies(X1,X2))))|~sQ4_spl)),
% 0.09/0.51 inference(resolution,[status(thm)],[f89,f141])).
% 0.09/0.51 fof(f256,plain,(
% 0.09/0.51 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(implies(X0,X1),X2),X1),implies(X0,X1)))|~sQ4_spl|~sQ0_spl)),
% 0.09/0.51 inference(resolution,[status(thm)],[f203,f43])).
% 0.09/0.51 fof(f489,plain,(
% 0.09/0.51 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),X1))|~is_a_theorem(implies(implies(X1,X2),X0))|~sQ4_spl|~sQ0_spl)),
% 0.09/0.51 inference(resolution,[status(thm)],[f40,f256])).
% 0.09/0.51 fof(f635,plain,(
% 0.09/0.51 ![X0]: (~is_a_theorem(implies(implies(a,X0),implies(a,b)))|~sQ4_spl|~sQ0_spl)),
% 0.09/0.51 inference(resolution,[status(thm)],[f489,f9])).
% 0.09/0.51 fof(f660,plain,(
% 0.09/0.51 $false|~sQ0_spl|~sQ4_spl),
% 0.09/0.51 inference(resolution,[status(thm)],[f635,f62])).
% 0.09/0.51 fof(f661,plain,(
% 0.09/0.51 ~sQ0_spl|~sQ4_spl),
% 0.09/0.51 inference(contradiction_clause,[status(thm)],[f660])).
% 0.09/0.51 fof(f662,plain,(
% 0.09/0.51 $false),
% 0.09/0.51 inference(sat_refutation,[status(thm)],[f21,f64,f67,f661])).
% 0.09/0.51 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.52 % Elapsed time: 0.139572 seconds
% 0.09/0.52 % CPU time: 0.878250 seconds
% 0.09/0.52 % Total memory used: 72.019 MB
% 0.09/0.52 % Net memory used: 69.140 MB
%------------------------------------------------------------------------------