%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL390-1 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n011.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 01:09:57 PM UTC 2026
% Result : Unsatisfiable 211.41s 32.13s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL390-1 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/5.37 % Computer : n011.cluster.edu
% 0.10/5.37 % Model : x86_64 x86_64
% 0.10/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.37 % Memory : 8046.5625MB
% 0.10/5.37 % OS : Linux 6.8.0-71-generic
% 0.10/5.37 % CPULimit : 300
% 0.10/5.37 % WCLimit : 300
% 0.10/5.37 % DateTime : Mon Sep 21 00:26:45 UTC 2026
% 0.10/5.38 % CPUTime :
% 0.10/5.39 % Drodi V4.1.1
% 211.41/32.13 % Refutation found
% 211.41/32.13 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 211.41/32.13 % SZS output start CNFRefutation for theBenchmark
% 211.41/32.13 fof(f1,axiom,(
% 211.41/32.13 (![X,Y]: (( ~ is_a_theorem(implies(X,Y))| ~ is_a_theorem(X)| is_a_theorem(Y) ) ))),
% 211.41/32.13 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 211.41/32.13 fof(f2,axiom,(
% 211.41/32.13 (![X,Y,Z]: (is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))) ))),
% 211.41/32.13 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 211.41/32.13 fof(f3,axiom,(
% 211.41/32.13 (![X]: (is_a_theorem(implies(implies(not(X),X),X)) ))),
% 211.41/32.13 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 211.41/32.13 fof(f4,axiom,(
% 211.41/32.13 (![X,Y]: (is_a_theorem(implies(X,implies(not(X),Y))) ))),
% 211.41/32.13 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 211.41/32.13 fof(f5,negated_conjecture,(
% 211.41/32.13 ~ is_a_theorem(implies(implies(not(x),y),implies(implies(x,y),y))) ),
% 211.41/32.13 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 211.41/32.13 fof(f6,plain,(
% 211.41/32.13 ![Y]: ((![X]: (~is_a_theorem(implies(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 211.41/32.13 inference(miniscoping,[status(thm)],[f1])).
% 211.41/32.13 fof(f7,plain,(
% 211.41/32.13 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 211.41/32.13 inference(cnf_transformation,[status(thm)],[f6])).
% 211.41/32.13 fof(f8,plain,(
% 211.41/32.13 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))))),
% 211.41/32.13 inference(cnf_transformation,[status(thm)],[f2])).
% 211.41/32.13 fof(f9,plain,(
% 211.41/32.13 ![X0]: (is_a_theorem(implies(implies(not(X0),X0),X0)))),
% 211.41/32.13 inference(cnf_transformation,[status(thm)],[f3])).
% 211.41/32.13 fof(f10,plain,(
% 211.41/32.13 ![X0,X1]: (is_a_theorem(implies(X0,implies(not(X0),X1))))),
% 211.41/32.13 inference(cnf_transformation,[status(thm)],[f4])).
% 211.41/32.13 fof(f11,plain,(
% 211.41/32.13 ~is_a_theorem(implies(implies(not(x),y),implies(implies(x,y),y)))),
% 211.41/32.13 inference(cnf_transformation,[status(thm)],[f5])).
% 211.41/32.13 fof(f12,plain,(
% 211.41/32.13 ![X0]: (~is_a_theorem(implies(not(X0),X0))|is_a_theorem(X0))),
% 211.41/32.13 inference(resolution,[status(thm)],[f7,f9])).
% 211.41/32.13 fof(f13,plain,(
% 211.41/32.13 ![X0,X1]: (~is_a_theorem(X0)|is_a_theorem(implies(not(X0),X1)))),
% 211.41/32.13 inference(resolution,[status(thm)],[f7,f10])).
% 211.41/32.13 fof(f23,plain,(
% 211.41/32.13 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(implies(X1,X2),implies(X0,X2))))),
% 211.41/32.13 inference(resolution,[status(thm)],[f8,f7])).
% 211.41/32.13 fof(f25,plain,(
% 211.41/32.13 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(X1,X2))|is_a_theorem(implies(X0,X2)))),
% 211.41/32.13 inference(resolution,[status(thm)],[f23,f7])).
% 211.41/32.13 fof(f26,plain,(
% 211.41/32.13 ![X0,X1]: (~is_a_theorem(implies(not(X0),X1))|~is_a_theorem(implies(X1,X0))|is_a_theorem(X0))),
% 211.41/32.13 inference(resolution,[status(thm)],[f25,f12])).
% 211.41/32.13 fof(f28,plain,(
% 211.41/32.13 ![X0]: (~is_a_theorem(implies(implies(not(x),y),X0))|~is_a_theorem(implies(X0,implies(implies(x,y),y))))),
% 211.41/32.13 inference(resolution,[status(thm)],[f25,f11])).
% 211.41/32.13 fof(f29,plain,(
% 211.41/32.13 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(X1,X2))|~is_a_theorem(X0)|is_a_theorem(X2))),
% 211.41/32.13 inference(resolution,[status(thm)],[f25,f7])).
% 211.41/32.13 fof(f117,plain,(
% 211.41/32.13 ![X0,X1]: (is_a_theorem(implies(implies(X0,X1),implies(implies(not(X0),X0),X1))))),
% 211.41/32.13 inference(resolution,[status(thm)],[f23,f9])).
% 211.41/32.13 fof(f118,plain,(
% 211.41/32.13 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(implies(X2,X0),X3))))),
% 211.41/32.13 inference(resolution,[status(thm)],[f23,f8])).
% 211.41/32.13 fof(f119,plain,(
% 211.41/32.13 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(not(X0),X1),X2),implies(X0,X2))))),
% 211.41/32.13 inference(resolution,[status(thm)],[f23,f10])).
% 211.41/32.13 fof(f120,plain,(
% 211.41/32.13 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(implies(not(X0),X0),X1),X2),implies(implies(X0,X1),X2))))),
% 211.41/32.13 inference(resolution,[status(thm)],[f117,f23])).
% 211.41/32.13 fof(f123,plain,(
% 211.41/32.13 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(implies(not(X0),X0),X1)))),
% 211.41/32.13 inference(resolution,[status(thm)],[f117,f7])).
% 211.41/32.13 fof(f128,plain,(
% 211.41/32.13 ![X0,X1,X2,X3]: (~is_a_theorem(implies(X0,implies(implies(not(X1),X2),X3)))|~is_a_theorem(X0)|is_a_theorem(implies(X1,X3)))),
% 211.41/32.13 inference(resolution,[status(thm)],[f119,f29])).
% 211.41/32.13 fof(f130,plain,(
% 211.41/32.13 ![X0,X1,X2]: (~is_a_theorem(implies(implies(not(X0),X1),X2))|is_a_theorem(implies(X0,X2)))),
% 211.41/32.13 inference(resolution,[status(thm)],[f119,f7])).
% 211.41/32.13 fof(f135,plain,(
% 211.41/32.13 ![X0,X1,X2,X3]: (~is_a_theorem(implies(X0,implies(implies(not(X1),X2),X3)))|is_a_theorem(implies(X0,implies(X1,X3))))),
% 211.41/32.13 inference(resolution,[status(thm)],[f25,f119])).
% 211.41/32.13 fof(f136,plain,(
% 211.41/32.13 ![X0,X1]: (~is_a_theorem(implies(X0,implies(not(X1),X1)))|is_a_theorem(implies(X0,X1)))),
% 211.41/32.13 inference(resolution,[status(thm)],[f25,f9])).
% 211.41/32.13 fof(f139,plain,(
% 211.41/32.13 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(X0,implies(not(X1),X2))))),
% 211.41/32.13 inference(resolution,[status(thm)],[f25,f10])).
% 211.41/32.13 fof(f163,plain,(
% 211.41/32.13 ![X0]: (is_a_theorem(implies(X0,X0)))),
% 211.41/32.13 inference(resolution,[status(thm)],[f130,f9])).
% 211.41/32.13 fof(f165,plain,(
% 211.41/32.13 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(implies(X1,X2),implies(not(X0),X2)))))),
% 211.41/32.13 inference(resolution,[status(thm)],[f130,f8])).
% 211.41/32.13 fof(f180,plain,(
% 211.41/32.13 ![X0,X1]: (is_a_theorem(implies(not(implies(X0,X0)),X1)))),
% 211.41/32.13 inference(resolution,[status(thm)],[f163,f13])).
% 211.41/32.13 fof(f188,plain,(
% 211.41/32.13 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(not(implies(X2,X2)),X1))))),
% 211.41/32.13 inference(resolution,[status(thm)],[f180,f23])).
% 211.41/32.13 fof(f278,plain,(
% 211.41/32.13 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),X3))|is_a_theorem(implies(implies(X2,X0),X3)))),
% 211.41/32.13 inference(resolution,[status(thm)],[f118,f7])).
% 211.41/32.13 fof(f329,plain,(
% 211.41/32.13 ![X0,X1,X2]: (~is_a_theorem(X0)|is_a_theorem(implies(implies(X1,X2),implies(not(X0),X2))))),
% 211.41/32.13 inference(resolution,[status(thm)],[f165,f7])).
% 211.41/32.13 fof(f342,plain,(
% 211.41/32.13 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(not(implies(X1,X1)),X2))))),
% 211.41/32.13 inference(resolution,[status(thm)],[f188,f130])).
% 211.41/32.13 fof(f362,plain,(
% 211.41/32.13 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X1))))),
% 211.41/32.13 inference(resolution,[status(thm)],[f342,f136])).
% 211.41/32.13 fof(f460,plain,(
% 211.41/32.13 ![X0]: (~is_a_theorem(implies(X0,not(x)))|~is_a_theorem(implies(implies(X0,y),implies(implies(x,y),y))))),
% 211.41/32.13 inference(resolution,[status(thm)],[f23,f28])).
% 211.41/32.13 fof(f516,plain,(
% 211.41/32.13 ![X0,X1]: (~is_a_theorem(implies(implies(X0,X0),X1))|is_a_theorem(X1))),
% 211.41/32.13 inference(resolution,[status(thm)],[f26,f362])).
% 211.41/32.13 fof(f564,plain,(
% 211.41/32.13 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(not(X1),X2)))|~is_a_theorem(X1))),
% 211.41/32.13 inference(resolution,[status(thm)],[f130,f329])).
% 211.41/32.13 fof(f566,plain,(
% 211.41/32.13 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(X1,X2)))|~is_a_theorem(implies(X1,not(X0))))),
% 211.41/32.13 inference(resolution,[status(thm)],[f130,f23])).
% 211.41/32.13 fof(f628,plain,(
% 211.41/32.13 ![X0,X1]: (is_a_theorem(implies(implies(X0,X1),X1))|~is_a_theorem(implies(not(X1),X0)))),
% 211.41/32.13 inference(resolution,[status(thm)],[f136,f23])).
% 211.41/32.13 fof(f639,plain,(
% 211.41/32.13 ![X0,X1]: (is_a_theorem(implies(X0,X1))|~is_a_theorem(X1))),
% 211.41/32.13 inference(resolution,[status(thm)],[f136,f564])).
% 211.41/32.13 fof(f645,plain,(
% 211.41/32.13 ![X0,X1]: (is_a_theorem(implies(X0,implies(implies(not(X1),X1),X1))))),
% 211.41/32.13 inference(resolution,[status(thm)],[f639,f9])).
% 211.41/32.13 fof(f660,plain,(
% 211.41/32.13 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(X1,implies(X2,X2)))))),
% 211.41/32.13 inference(resolution,[status(thm)],[f639,f362])).
% 211.41/32.13 fof(f668,plain,(
% 211.41/32.13 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,implies(X1,X1)),X2))|is_a_theorem(X2))),
% 211.41/32.13 inference(resolution,[status(thm)],[f660,f26])).
% 211.41/32.13 fof(f733,plain,(
% 211.41/32.13 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X0),X1),implies(X2,X1))))),
% 211.41/32.13 inference(resolution,[status(thm)],[f668,f8])).
% 211.41/32.13 fof(f782,plain,(
% 211.41/32.13 ![X0,X1]: (is_a_theorem(implies(implies(implies(X0,X0),X1),X1)))),
% 211.41/32.13 inference(resolution,[status(thm)],[f733,f136])).
% 211.41/32.13 fof(f793,plain,(
% 211.41/32.13 ![X0,X1,X2]: (~is_a_theorem(implies(X0,implies(implies(X1,X1),X2)))|is_a_theorem(implies(X0,X2)))),
% 211.41/32.13 inference(resolution,[status(thm)],[f782,f25])).
% 211.41/32.13 fof(f851,plain,(
% 211.41/32.13 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,X0),X1))|is_a_theorem(implies(not(X1),X2)))),
% 211.41/32.13 inference(resolution,[status(thm)],[f139,f516])).
% 211.41/32.13 fof(f873,plain,(
% 211.41/32.13 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(X2,implies(not(X0),X0)))|is_a_theorem(implies(X2,X1)))),
% 211.41/32.13 inference(resolution,[status(thm)],[f123,f25])).
% 211.41/32.13 fof(f874,plain,(
% 211.41/32.13 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(not(X0),X0))|is_a_theorem(X1))),
% 211.41/32.13 inference(resolution,[status(thm)],[f123,f7])).
% 211.41/32.13 fof(f1055,plain,(
% 211.41/32.13 ![X0,X1]: (is_a_theorem(implies(implies(implies(implies(not(X0),X0),X0),X1),X1)))),
% 211.41/32.13 inference(resolution,[status(thm)],[f628,f645])).
% 211.41/32.13 fof(f1060,plain,(
% 211.41/32.13 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(not(X0),X1),X2),X2))|~is_a_theorem(X0))),
% 211.41/32.13 inference(resolution,[status(thm)],[f628,f564])).
% 211.41/32.13 fof(f1419,plain,(
% 211.41/32.13 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(X1)|~is_a_theorem(implies(implies(X2,X2),X0)))),
% 211.41/32.13 inference(resolution,[status(thm)],[f874,f851])).
% 211.41/32.13 fof(f1476,plain,(
% 211.41/32.13 ![X0,X1,X2,X3]: (~is_a_theorem(implies(X0,implies(implies(implies(not(X1),X1),X2),X3)))|is_a_theorem(implies(X0,implies(implies(X1,X2),X3))))),
% 211.41/32.13 inference(resolution,[status(thm)],[f120,f25])).
% 211.41/32.13 fof(f1959,plain,(
% 211.41/32.13 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),X1))|~is_a_theorem(implies(implies(X2,X2),X0)))),
% 211.41/32.13 inference(resolution,[status(thm)],[f793,f23])).
% 211.41/32.13 fof(f2136,definition,(
% 211.41/32.13 sQ78_spl <=> (is_a_theorem(implies(y,implies(implies(x,y),y))))),
% 211.41/32.13 introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition])).
% 211.41/32.13 fof(f2138,plain,(
% 211.41/32.13 ~is_a_theorem(implies(y,implies(implies(x,y),y)))|sQ78_spl),
% 211.41/32.13 inference(component_clause,[status(thm)],[f2136])).
% 211.41/32.13 fof(f3432,plain,(
% 211.41/32.13 ![X0,X1]: (is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(X0,X1))))),
% 211.41/32.13 inference(resolution,[status(thm)],[f278,f1055])).
% 211.41/32.13 fof(f3438,plain,(
% 211.41/32.13 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,not(X1)),implies(X0,X2)))|~is_a_theorem(X1))),
% 211.41/32.13 inference(resolution,[status(thm)],[f278,f1060])).
% 211.41/32.13 fof(f3515,plain,(
% 211.41/32.13 ![X0,X1]: (is_a_theorem(implies(implies(not(X0),X1),implies(implies(X1,X0),X0))))),
% 211.41/32.13 inference(resolution,[status(thm)],[f3432,f278])).
% 211.41/32.13 fof(f3620,plain,(
% 211.41/32.13 ![X0,X1]: (~is_a_theorem(X0)|is_a_theorem(implies(implies(not(X1),not(X0)),X1)))),
% 211.41/32.13 inference(resolution,[status(thm)],[f3438,f136])).
% 211.41/32.13 fof(f3794,plain,(
% 211.41/32.13 ![X0,X1]: (~is_a_theorem(X0)|is_a_theorem(implies(implies(X0,X1),X1)))),
% 211.41/32.13 inference(resolution,[status(thm)],[f3620,f1959])).
% 211.41/32.13 fof(f3881,plain,(
% 211.41/32.13 ![X0,X1]: (~is_a_theorem(X0)|is_a_theorem(implies(implies(X0,implies(not(X1),X1)),X1)))),
% 211.41/32.13 inference(resolution,[status(thm)],[f3794,f136])).
% 211.41/32.13 fof(f4246,plain,(
% 211.41/32.13 ![X0,X1]: (is_a_theorem(implies(X0,implies(implies(X1,X0),X0))))),
% 211.41/32.13 inference(resolution,[status(thm)],[f3515,f130])).
% 211.41/32.13 fof(f4265,plain,(
% 211.41/32.13 $false|sQ78_spl),
% 211.41/32.13 inference(backward_subsumption_resolution,[status(thm)],[f2138,f4246])).
% 211.41/32.13 fof(f4286,plain,(
% 211.41/32.13 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X0))))),
% 211.41/32.13 inference(resolution,[status(thm)],[f4246,f135])).
% 211.41/32.13 fof(f4294,plain,(
% 211.41/32.13 sQ78_spl),
% 211.41/32.13 inference(contradiction_clause,[status(thm)],[f4265])).
% 211.41/32.13 fof(f4325,plain,(
% 211.41/32.13 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(X1,implies(X2,X1)))))),
% 211.41/32.13 inference(resolution,[status(thm)],[f4286,f639])).
% 211.41/32.13 fof(f4411,plain,(
% 211.41/32.13 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,implies(X1,X0)),X2))|is_a_theorem(X2))),
% 211.41/32.13 inference(resolution,[status(thm)],[f4325,f1419])).
% 211.41/32.13 fof(f6474,plain,(
% 211.41/32.13 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))))),
% 211.41/32.13 inference(resolution,[status(thm)],[f4411,f8])).
% 211.41/32.13 fof(f7472,plain,(
% 211.41/32.13 ![X0,X1]: (~is_a_theorem(implies(not(X0),not(X1)))|is_a_theorem(implies(X1,X0)))),
% 211.41/32.13 inference(resolution,[status(thm)],[f128,f3515])).
% 211.41/32.13 fof(f7666,plain,(
% 211.41/32.13 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,X1),X2))|is_a_theorem(implies(X1,X2)))),
% 211.41/32.13 inference(resolution,[status(thm)],[f6474,f7])).
% 211.41/32.13 fof(f7749,plain,(
% 211.41/32.13 ![X0,X1]: (is_a_theorem(implies(X0,implies(implies(X0,X1),X1))))),
% 211.41/32.13 inference(resolution,[status(thm)],[f7666,f3515])).
% 211.41/32.13 fof(f7838,plain,(
% 211.41/32.13 ![X0,X1]: (is_a_theorem(implies(not(X0),implies(X0,X1))))),
% 211.41/32.13 inference(resolution,[status(thm)],[f7749,f135])).
% 211.41/32.13 fof(f7858,plain,(
% 211.41/32.13 ![X0]: (is_a_theorem(implies(not(not(X0)),X0)))),
% 211.41/32.13 inference(resolution,[status(thm)],[f7838,f136])).
% 211.41/32.13 fof(f7868,plain,(
% 211.41/32.13 ![X0]: (is_a_theorem(implies(implies(X0,not(X0)),not(X0))))),
% 211.41/32.13 inference(resolution,[status(thm)],[f7858,f628])).
% 211.41/32.13 fof(f7900,plain,(
% 211.41/32.13 ![X0,X1]: (~is_a_theorem(implies(X0,not(not(X1))))|is_a_theorem(implies(X0,X1)))),
% 211.41/32.13 inference(resolution,[status(thm)],[f7858,f25])).
% 211.41/32.13 fof(f8214,plain,(
% 211.41/32.13 ![X0]: (is_a_theorem(implies(X0,not(not(X0)))))),
% 211.41/32.13 inference(resolution,[status(thm)],[f7868,f130])).
% 211.41/32.19 fof(f8270,plain,(
% 211.41/32.19 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(X0,not(not(X1)))))),
% 211.41/32.19 inference(resolution,[status(thm)],[f8214,f25])).
% 211.41/32.19 fof(f12881,plain,(
% 211.41/32.19 ![X0,X1]: (is_a_theorem(implies(implies(not(X0),X0),implies(implies(X0,X1),X1))))),
% 211.41/32.19 inference(resolution,[status(thm)],[f1476,f7749])).
% 211.41/32.19 fof(f13052,plain,(
% 211.41/32.19 ![X0]: (is_a_theorem(implies(not(not(not(not(X0)))),X0)))),
% 211.41/32.19 inference(resolution,[status(thm)],[f7900,f7858])).
% 211.41/32.19 fof(f13087,plain,(
% 211.41/32.19 ![X0]: (is_a_theorem(implies(X0,not(not(not(not(X0)))))))),
% 211.41/32.19 inference(resolution,[status(thm)],[f13052,f7472])).
% 211.41/32.19 fof(f13182,plain,(
% 211.41/32.19 ![X0,X1]: (is_a_theorem(implies(not(not(not(X0))),implies(X0,X1))))),
% 211.41/32.19 inference(resolution,[status(thm)],[f13087,f566])).
% 211.41/32.19 fof(f14764,plain,(
% 211.41/32.19 ![X0,X1]: (~is_a_theorem(implies(not(X0),X1))|is_a_theorem(implies(not(X1),X0)))),
% 211.41/32.19 inference(resolution,[status(thm)],[f8270,f7472])).
% 211.41/32.19 fof(f20251,plain,(
% 211.41/32.19 ![X0,X1]: (is_a_theorem(implies(not(implies(X0,X1)),not(not(X0)))))),
% 211.41/32.19 inference(resolution,[status(thm)],[f14764,f13182])).
% 211.41/32.19 fof(f20473,plain,(
% 211.41/32.19 ![X0,X1,X2]: (is_a_theorem(implies(not(X0),implies(not(implies(X0,X1)),X2))))),
% 211.41/32.19 inference(resolution,[status(thm)],[f20251,f566])).
% 211.41/32.19 fof(f23821,plain,(
% 211.41/32.19 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,X1),X2))|is_a_theorem(implies(not(X0),X2)))),
% 211.41/32.19 inference(resolution,[status(thm)],[f20473,f873])).
% 211.41/32.19 fof(f25992,plain,(
% 211.41/32.19 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(implies(not(X1),X0),X1)))),
% 211.41/32.19 inference(resolution,[status(thm)],[f3881,f278])).
% 211.41/32.19 fof(f44983,plain,(
% 211.41/32.19 ![X0,X1]: (is_a_theorem(implies(not(not(X0)),implies(implies(X0,X1),X1))))),
% 211.41/32.19 inference(resolution,[status(thm)],[f23821,f12881])).
% 211.41/32.19 fof(f45180,plain,(
% 211.41/32.19 ![X0,X1]: (is_a_theorem(implies(not(implies(implies(X0,X1),X1)),not(X0))))),
% 211.41/32.19 inference(resolution,[status(thm)],[f44983,f14764])).
% 211.41/32.19 fof(f46836,plain,(
% 211.41/32.19 ~is_a_theorem(implies(y,implies(implies(x,y),y)))|~is_a_theorem(implies(not(implies(implies(x,y),y)),not(x)))),
% 211.41/32.19 inference(resolution,[status(thm)],[f25992,f460])).
% 211.41/32.19 fof(f47054,definition,(
% 211.41/32.19 sQ747_spl <=> (is_a_theorem(implies(not(implies(implies(x,y),y)),not(x))))),
% 211.41/32.19 introduced(definition,[new_symbols(definition,[sQ747_spl])],[split_symbol_definition])).
% 211.41/32.19 fof(f47056,plain,(
% 211.41/32.19 ~is_a_theorem(implies(not(implies(implies(x,y),y)),not(x)))|sQ747_spl),
% 211.41/32.19 inference(component_clause,[status(thm)],[f47054])).
% 211.41/32.19 fof(f47057,plain,(
% 211.41/32.19 ~sQ78_spl|~sQ747_spl),
% 211.41/32.19 inference(split_clause,[status(thm)],[f46836,f2136,f47054])).
% 211.41/32.19 fof(f47062,plain,(
% 211.41/32.19 $false|sQ747_spl),
% 211.41/32.19 inference(forward_subsumption_resolution,[status(thm)],[f47056,f45180])).
% 211.41/32.19 fof(f47063,plain,(
% 211.41/32.19 sQ747_spl),
% 211.41/32.19 inference(contradiction_clause,[status(thm)],[f47062])).
% 211.41/32.19 fof(f47064,plain,(
% 211.41/32.19 $false),
% 211.41/32.19 inference(sat_refutation,[status(thm)],[f4294,f47057,f47063])).
% 211.41/32.19 % SZS output end CNFRefutation for theBenchmark.p
% 19.35/32.43 % Elapsed time: 27.002862 seconds
% 19.35/32.43 % CPU time: 213.053873 seconds
% 19.35/32.43 % Total memory used: 1.177 GB
% 19.35/32.43 % Net memory used: 1.024 GB
%------------------------------------------------------------------------------