%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL071-1 : 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 : 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 01:09:18 PM UTC 2026
% Result : Unsatisfiable 26.87s 3.91s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL071-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n026.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 : Mon Sep 21 00:06:07 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 26.87/3.91 % Refutation found
% 26.87/3.91 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 26.87/3.91 % SZS output start CNFRefutation for theBenchmark
% 26.87/3.91 fof(f1,axiom,(
% 26.87/3.91 (![X,Y]: (( ~ is_a_theorem(implies(X,Y))| ~ is_a_theorem(X)| is_a_theorem(Y) ) ))),
% 26.87/3.91 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 26.87/3.91 fof(f2,axiom,(
% 26.87/3.91 (![X,Y,Z]: (is_a_theorem(implies(implies(implies(X,Y),Z),implies(Y,Z))) ))),
% 26.87/3.91 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 26.87/3.91 fof(f3,axiom,(
% 26.87/3.91 (![X,Y,Z]: (is_a_theorem(implies(implies(implies(X,Y),Z),implies(not(X),Z))) ))),
% 26.87/3.91 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 26.87/3.91 fof(f4,axiom,(
% 26.87/3.91 (![X,Y,Z,U]: (is_a_theorem(implies(implies(X,implies(not(Y),Z)),implies(X,implies(implies(U,Z),implies(implies(Y,U),Z))))) ))),
% 26.87/3.91 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 26.87/3.91 fof(f5,negated_conjecture,(
% 26.87/3.91 ~ is_a_theorem(implies(implies(not(a),a),a)) ),
% 26.87/3.91 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 26.87/3.91 fof(f6,plain,(
% 26.87/3.91 ![Y]: ((![X]: (~is_a_theorem(implies(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 26.87/3.91 inference(miniscoping,[status(thm)],[f1])).
% 26.87/3.91 fof(f7,plain,(
% 26.87/3.91 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 26.87/3.91 inference(cnf_transformation,[status(thm)],[f6])).
% 26.87/3.91 fof(f8,plain,(
% 26.87/3.91 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))))),
% 26.87/3.91 inference(cnf_transformation,[status(thm)],[f2])).
% 26.87/3.91 fof(f9,plain,(
% 26.87/3.91 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X1),X2),implies(not(X0),X2))))),
% 26.87/3.91 inference(cnf_transformation,[status(thm)],[f3])).
% 26.87/3.91 fof(f10,plain,(
% 26.87/3.91 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(X0,implies(not(X1),X2)),implies(X0,implies(implies(X3,X2),implies(implies(X1,X3),X2))))))),
% 26.87/3.91 inference(cnf_transformation,[status(thm)],[f4])).
% 26.87/3.91 fof(f11,plain,(
% 26.87/3.91 ~is_a_theorem(implies(implies(not(a),a),a))),
% 26.87/3.91 inference(cnf_transformation,[status(thm)],[f5])).
% 26.87/3.91 fof(f12,plain,(
% 26.87/3.91 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,X1),X2))|is_a_theorem(implies(X1,X2)))),
% 26.87/3.91 inference(resolution,[status(thm)],[f8,f7])).
% 26.87/3.91 fof(f13,plain,(
% 26.87/3.91 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X0))))),
% 26.87/3.91 inference(resolution,[status(thm)],[f12,f8])).
% 26.87/3.91 fof(f15,plain,(
% 26.87/3.91 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,X1),X2))|is_a_theorem(implies(not(X0),X2)))),
% 26.87/3.91 inference(resolution,[status(thm)],[f9,f7])).
% 26.87/3.91 fof(f16,plain,(
% 26.87/3.91 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(X1,implies(X2,X0)))))),
% 26.87/3.91 inference(resolution,[status(thm)],[f13,f12])).
% 26.87/3.91 fof(f24,definition,(
% 26.87/3.91 ![X1]: (sQ1_spl <=> (~is_a_theorem(X1)))),
% 26.87/3.91 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 26.87/3.91 fof(f25,plain,(
% 26.87/3.91 ![X0]: (~is_a_theorem(X0)|~sQ1_spl)),
% 26.87/3.91 inference(component_clause,[status(thm)],[f24])).
% 26.87/3.91 fof(f28,plain,(
% 26.87/3.91 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(not(X0),X1),implies(X2,implies(implies(X3,X1),implies(implies(X0,X3),X1))))))),
% 26.87/3.91 inference(resolution,[status(thm)],[f10,f12])).
% 26.87/3.91 fof(f31,plain,(
% 26.87/3.91 ![X0,X1,X2]: (~is_a_theorem(X0)|is_a_theorem(implies(X1,implies(X2,X0))))),
% 26.87/3.91 inference(resolution,[status(thm)],[f16,f7])).
% 26.87/3.91 fof(f33,plain,(
% 26.87/3.91 ![X0,X1,X2]: (~is_a_theorem(X0)|~is_a_theorem(X1)|is_a_theorem(implies(X2,X0)))),
% 26.87/3.91 inference(resolution,[status(thm)],[f31,f7])).
% 26.87/3.91 fof(f34,definition,(
% 26.87/3.91 ![X0,X2]: (sQ2_spl <=> (~is_a_theorem(X0)|is_a_theorem(implies(X2,X0))))),
% 26.87/3.91 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 26.87/3.91 fof(f35,plain,(
% 26.87/3.91 ![X0,X1]: (~is_a_theorem(X0)|is_a_theorem(implies(X1,X0))|~sQ2_spl)),
% 26.87/3.91 inference(component_clause,[status(thm)],[f34])).
% 26.87/3.91 fof(f37,plain,(
% 26.87/3.91 sQ2_spl|sQ1_spl),
% 26.87/3.91 inference(split_clause,[status(thm)],[f33,f34,f24])).
% 26.87/3.91 fof(f38,plain,(
% 26.87/3.91 $false|~sQ1_spl),
% 26.87/3.91 inference(backward_subsumption_resolution,[status(thm)],[f9,f25])).
% 26.87/3.91 fof(f43,plain,(
% 26.87/3.91 ~sQ1_spl),
% 26.87/3.91 inference(contradiction_clause,[status(thm)],[f38])).
% 26.87/3.91 fof(f45,plain,(
% 26.87/3.91 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(X1,implies(X2,X1))))|~sQ2_spl)),
% 26.87/3.91 inference(resolution,[status(thm)],[f13,f35])).
% 26.87/3.91 fof(f101,plain,(
% 26.87/3.91 ![X0,X1,X2]: (is_a_theorem(implies(not(implies(X0,X1)),implies(X1,X2))))),
% 26.87/3.91 inference(resolution,[status(thm)],[f15,f8])).
% 26.87/3.92 fof(f109,plain,(
% 26.87/3.92 ![X0,X1,X2]: (is_a_theorem(implies(not(X0),implies(X1,implies(X0,X2)))))),
% 26.87/3.92 inference(resolution,[status(thm)],[f15,f13])).
% 26.87/3.92 fof(f179,plain,(
% 26.87/3.92 ![X0,X1,X2,X3]: (~is_a_theorem(implies(not(X0),X1))|is_a_theorem(implies(X2,implies(implies(X3,X1),implies(implies(X0,X3),X1)))))),
% 26.87/3.92 inference(resolution,[status(thm)],[f28,f7])).
% 26.87/3.92 fof(f337,plain,(
% 26.87/3.92 ![X0,X1,X2,X3]: (~is_a_theorem(implies(not(X0),X1))|~is_a_theorem(X2)|is_a_theorem(implies(implies(X3,X1),implies(implies(X0,X3),X1))))),
% 26.87/3.92 inference(resolution,[status(thm)],[f179,f7])).
% 26.87/3.92 fof(f340,definition,(
% 26.87/3.92 ![X0,X1,X3]: (sQ26_spl <=> (~is_a_theorem(implies(not(X0),X1))|is_a_theorem(implies(implies(X3,X1),implies(implies(X0,X3),X1)))))),
% 26.87/3.92 introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition])).
% 26.87/3.92 fof(f341,plain,(
% 26.87/3.92 ![X0,X1,X2]: (~is_a_theorem(implies(not(X0),X1))|is_a_theorem(implies(implies(X2,X1),implies(implies(X0,X2),X1)))|~sQ26_spl)),
% 26.87/3.92 inference(component_clause,[status(thm)],[f340])).
% 26.87/3.92 fof(f343,plain,(
% 26.87/3.92 sQ26_spl|sQ1_spl),
% 26.87/3.92 inference(split_clause,[status(thm)],[f337,f340,f24])).
% 26.87/3.92 fof(f394,plain,(
% 26.87/3.92 ![X0,X1,X2]: (~is_a_theorem(implies(not(X0),X1))|~is_a_theorem(implies(X2,X1))|is_a_theorem(implies(implies(X0,X2),X1))|~sQ26_spl)),
% 26.87/3.92 inference(resolution,[status(thm)],[f341,f7])).
% 26.87/3.92 fof(f403,plain,(
% 26.87/3.92 ~is_a_theorem(implies(not(not(a)),a))|~is_a_theorem(implies(a,a))|~sQ26_spl),
% 26.87/3.92 inference(resolution,[status(thm)],[f394,f11])).
% 26.87/3.92 fof(f406,plain,(
% 26.87/3.92 ![X0,X1,X2]: (~is_a_theorem(implies(not(X0),X1))|~is_a_theorem(implies(X2,X1))|~is_a_theorem(implies(X0,X2))|is_a_theorem(X1)|~sQ26_spl)),
% 26.87/3.92 inference(resolution,[status(thm)],[f394,f7])).
% 26.87/3.92 fof(f409,definition,(
% 26.87/3.92 sQ32_spl <=> (is_a_theorem(implies(not(not(a)),a)))),
% 26.87/3.92 introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition])).
% 26.87/3.92 fof(f411,plain,(
% 26.87/3.92 ~is_a_theorem(implies(not(not(a)),a))|sQ32_spl),
% 26.87/3.92 inference(component_clause,[status(thm)],[f409])).
% 26.87/3.92 fof(f412,definition,(
% 26.87/3.92 sQ33_spl <=> (is_a_theorem(implies(a,a)))),
% 26.87/3.92 introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition])).
% 26.87/3.92 fof(f414,plain,(
% 26.87/3.92 ~is_a_theorem(implies(a,a))|sQ33_spl),
% 26.87/3.92 inference(component_clause,[status(thm)],[f412])).
% 26.87/3.92 fof(f415,plain,(
% 26.87/3.92 ~sQ32_spl|~sQ33_spl|~sQ26_spl),
% 26.87/3.92 inference(split_clause,[status(thm)],[f403,f409,f412,f340])).
% 26.87/3.92 fof(f423,plain,(
% 26.87/3.92 ![X0,X1,X2,X3]: (~is_a_theorem(implies(X0,implies(X1,X2)))|~is_a_theorem(implies(implies(X3,X1),X0))|is_a_theorem(implies(X1,X2))|~sQ26_spl)),
% 26.87/3.92 inference(resolution,[status(thm)],[f406,f101])).
% 26.87/3.92 fof(f566,plain,(
% 26.87/3.92 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,X1),implies(X1,X2)))|is_a_theorem(implies(X1,X2))|~sQ26_spl)),
% 26.87/3.92 inference(resolution,[status(thm)],[f423,f8])).
% 26.87/3.92 fof(f620,plain,(
% 26.87/3.92 ![X0]: (is_a_theorem(implies(X0,X0))|~sQ26_spl)),
% 26.87/3.92 inference(resolution,[status(thm)],[f566,f8])).
% 26.87/3.92 fof(f672,plain,(
% 26.87/3.92 $false|~sQ26_spl|sQ33_spl),
% 26.87/3.92 inference(backward_subsumption_resolution,[status(thm)],[f414,f620])).
% 26.87/3.92 fof(f673,plain,(
% 26.87/3.92 ![X0,X1]: (~is_a_theorem(implies(X0,not(X1)))|~is_a_theorem(implies(X1,X0))|is_a_theorem(not(X1))|~sQ26_spl)),
% 26.87/3.92 inference(resolution,[status(thm)],[f620,f406])).
% 26.87/3.92 fof(f676,plain,(
% 26.87/3.92 ![X0,X1]: (is_a_theorem(implies(not(X0),implies(X0,X1)))|~sQ26_spl)),
% 26.87/3.92 inference(resolution,[status(thm)],[f620,f15])).
% 26.87/3.92 fof(f680,plain,(
% 26.87/3.92 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X1)))|~sQ26_spl|~sQ2_spl)),
% 26.87/3.92 inference(resolution,[status(thm)],[f620,f35])).
% 26.87/3.92 fof(f681,plain,(
% 26.87/3.92 ~sQ26_spl|sQ33_spl),
% 26.87/3.92 inference(contradiction_clause,[status(thm)],[f672])).
% 26.87/3.92 fof(f684,plain,(
% 26.87/3.92 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,X0),implies(X1,X2)))|is_a_theorem(implies(X1,X2))|~sQ2_spl|~sQ26_spl)),
% 26.87/3.92 inference(resolution,[status(thm)],[f680,f423])).
% 26.87/3.92 fof(f695,plain,(
% 26.87/3.92 ![X0,X1]: (~is_a_theorem(not(X0))|is_a_theorem(implies(X0,X1))|~sQ26_spl)),
% 26.87/3.92 inference(resolution,[status(thm)],[f676,f7])).
% 26.87/3.92 fof(f697,plain,(
% 26.87/3.92 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(not(X1),implies(X1,X2))))|~sQ26_spl|~sQ2_spl)),
% 26.87/3.92 inference(resolution,[status(thm)],[f676,f35])).
% 26.87/3.92 fof(f801,plain,(
% 26.87/3.92 ![X0,X1]: (is_a_theorem(implies(implies(X0,X1),X1))|~is_a_theorem(implies(not(X0),X1))|~sQ2_spl|~sQ26_spl)),
% 25.36/3.94 inference(resolution,[status(thm)],[f684,f341])).
% 25.36/3.94 fof(f863,plain,(
% 25.36/3.94 ![X0,X1]: (~is_a_theorem(implies(not(X0),X1))|~is_a_theorem(implies(X0,X1))|is_a_theorem(X1)|~sQ2_spl|~sQ26_spl)),
% 25.36/3.94 inference(resolution,[status(thm)],[f801,f7])).
% 25.36/3.94 fof(f930,plain,(
% 25.36/3.94 ![X0,X1]: (~is_a_theorem(implies(X0,implies(X1,not(X0))))|is_a_theorem(implies(X1,not(X0)))|~sQ2_spl|~sQ26_spl)),
% 25.36/3.94 inference(resolution,[status(thm)],[f863,f13])).
% 25.36/3.94 fof(f1284,plain,(
% 25.36/3.94 ![X0]: (is_a_theorem(implies(X0,not(not(X0))))|~sQ2_spl|~sQ26_spl)),
% 25.36/3.94 inference(resolution,[status(thm)],[f930,f676])).
% 25.36/3.94 fof(f1294,plain,(
% 25.36/3.94 ![X0]: (~is_a_theorem(implies(not(X0),X0))|is_a_theorem(not(not(X0)))|~sQ2_spl|~sQ26_spl)),
% 25.36/3.94 inference(resolution,[status(thm)],[f1284,f673])).
% 25.36/3.94 fof(f1540,plain,(
% 25.36/3.94 ![X0,X1]: (is_a_theorem(not(not(implies(not(X0),implies(X0,X1)))))|~sQ26_spl|~sQ2_spl)),
% 25.36/3.94 inference(resolution,[status(thm)],[f1294,f697])).
% 25.36/3.94 fof(f1585,plain,(
% 25.36/3.94 ![X0,X1]: (is_a_theorem(not(not(implies(X0,implies(X1,X0)))))|~sQ26_spl|~sQ2_spl)),
% 25.36/3.94 inference(resolution,[status(thm)],[f1294,f45])).
% 25.36/3.94 fof(f2184,plain,(
% 25.36/3.94 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(X1)|~is_a_theorem(not(not(X0)))|~sQ2_spl|~sQ26_spl)),
% 25.36/3.94 inference(resolution,[status(thm)],[f863,f695])).
% 25.36/3.94 fof(f2191,plain,(
% 25.36/3.94 ![X0,X1,X2]: (~is_a_theorem(implies(implies(not(X0),implies(X0,X1)),X2))|is_a_theorem(X2)|~sQ26_spl|~sQ2_spl)),
% 25.36/3.94 inference(resolution,[status(thm)],[f2184,f1540])).
% 25.36/3.94 fof(f2198,plain,(
% 25.36/3.94 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,implies(X1,X0)),X2))|is_a_theorem(X2)|~sQ26_spl|~sQ2_spl)),
% 25.36/3.94 inference(resolution,[status(thm)],[f2184,f1585])).
% 25.36/3.94 fof(f2483,plain,(
% 25.36/3.94 ![X0,X1]: (~is_a_theorem(implies(not(X0),implies(X1,X0)))|is_a_theorem(implies(X1,X0))|~sQ26_spl|~sQ2_spl)),
% 25.36/3.94 inference(resolution,[status(thm)],[f801,f2198])).
% 25.36/3.94 fof(f2668,plain,(
% 25.36/3.94 ![X0,X1]: (is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(not(not(X0)),implies(X0,X1)))|~sQ2_spl|~sQ26_spl)),
% 25.36/3.94 inference(resolution,[status(thm)],[f2191,f801])).
% 25.36/3.94 fof(f6289,plain,(
% 25.36/3.94 ![X0,X1]: (is_a_theorem(implies(X0,implies(not(X0),X1)))|~sQ2_spl|~sQ26_spl)),
% 25.36/3.94 inference(resolution,[status(thm)],[f2668,f109])).
% 25.36/3.94 fof(f6388,plain,(
% 25.36/3.94 ![X0]: (is_a_theorem(implies(not(not(X0)),X0))|~sQ26_spl|~sQ2_spl)),
% 25.36/3.94 inference(resolution,[status(thm)],[f6289,f2483])).
% 25.36/3.94 fof(f6415,plain,(
% 25.36/3.94 $false|~sQ26_spl|~sQ2_spl|sQ32_spl),
% 25.36/3.94 inference(backward_subsumption_resolution,[status(thm)],[f411,f6388])).
% 25.36/3.94 fof(f6441,plain,(
% 25.36/3.94 ~sQ26_spl|~sQ2_spl|sQ32_spl),
% 25.36/3.94 inference(contradiction_clause,[status(thm)],[f6415])).
% 25.36/3.94 fof(f6442,plain,(
% 25.36/3.94 $false),
% 25.36/3.94 inference(sat_refutation,[status(thm)],[f37,f43,f343,f415,f681,f6441])).
% 25.36/3.94 % SZS output end CNFRefutation for theBenchmark.p
% 25.36/3.96 % Elapsed time: 3.580811 seconds
% 25.36/3.96 % CPU time: 27.919183 seconds
% 25.36/3.96 % Total memory used: 221.805 MB
% 25.36/3.96 % Net memory used: 192.038 MB
%------------------------------------------------------------------------------