TSTP Solution File: LCL103-1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : LCL103-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:26:21 EDT 2024
% Result : Unsatisfiable 102.93s 13.42s
% Output : CNFRefutation 104.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.14 % Problem : LCL103-1 : TPTP v8.1.2. Released v1.0.0.
% 0.05/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.35 % Computer : n005.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8042.1875MB
% 0.10/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Mon Apr 29 20:39:41 EDT 2024
% 0.10/0.35 % CPUTime :
% 0.10/0.36 % Drodi V3.6.0
% 102.93/13.42 % Refutation found
% 102.93/13.42 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 102.93/13.42 % SZS output start CNFRefutation for theBenchmark
% 102.93/13.42 fof(f1,axiom,(
% 102.93/13.42 (![X,Y]: (( ~ is_a_theorem(equivalent(X,Y))| ~ is_a_theorem(X)| is_a_theorem(Y) ) ))),
% 102.93/13.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 102.93/13.42 fof(f2,axiom,(
% 102.93/13.42 (![X,Y,Z,U]: (is_a_theorem(equivalent(equivalent(equivalent(X,Y),Z),equivalent(equivalent(U,Y),equivalent(equivalent(X,U),Z)))) ))),
% 102.93/13.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 102.93/13.42 fof(f3,axiom,(
% 102.93/13.42 (![X,Y,Z]: (is_a_theorem(equivalent(equivalent(equivalent(X,Y),equivalent(equivalent(Y,X),Z)),Z)) ))),
% 102.93/13.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 102.93/13.42 fof(f4,negated_conjecture,(
% 102.93/13.42 ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,c)),equivalent(b,c)),e),e)) ),
% 102.93/13.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 102.93/13.42 fof(f5,plain,(
% 102.93/13.42 ![Y]: ((![X]: (~is_a_theorem(equivalent(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 102.93/13.42 inference(miniscoping,[status(esa)],[f1])).
% 102.93/13.42 fof(f6,plain,(
% 102.93/13.42 ![X0,X1]: (~is_a_theorem(equivalent(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 102.93/13.42 inference(cnf_transformation,[status(esa)],[f5])).
% 102.93/13.42 fof(f7,plain,(
% 102.93/13.42 ![X0,X1,X2,X3]: (is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(X3,X1),equivalent(equivalent(X0,X3),X2)))))),
% 102.93/13.42 inference(cnf_transformation,[status(esa)],[f2])).
% 102.93/13.42 fof(f8,plain,(
% 102.93/13.42 ![X0,X1,X2]: (is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(X1,X0),X2)),X2)))),
% 102.93/13.42 inference(cnf_transformation,[status(esa)],[f3])).
% 102.93/13.42 fof(f9,plain,(
% 102.93/13.42 ~is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,c)),equivalent(b,c)),e),e))),
% 102.93/13.42 inference(cnf_transformation,[status(esa)],[f4])).
% 102.93/13.42 fof(f11,plain,(
% 102.93/13.42 ![X0,X1,X2,X3]: (~is_a_theorem(equivalent(equivalent(X0,X1),X2))|is_a_theorem(equivalent(equivalent(X3,X1),equivalent(equivalent(X0,X3),X2))))),
% 102.93/13.42 inference(resolution,[status(thm)],[f7,f6])).
% 102.93/13.42 fof(f12,plain,(
% 102.93/13.42 ![X0,X1,X2,X3]: (is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X1,X2),X3)),equivalent(equivalent(equivalent(X2,X1),X0),X3))))),
% 102.93/13.42 inference(resolution,[status(thm)],[f11,f8])).
% 102.93/13.42 fof(f13,plain,(
% 102.93/13.42 ![X0,X1,X2,X3,X4]: (is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(equivalent(X2,X3),X0),equivalent(equivalent(X4,X3),equivalent(equivalent(X2,X4),X1))))))),
% 102.93/13.42 inference(resolution,[status(thm)],[f11,f7])).
% 102.93/13.42 fof(f14,plain,(
% 102.93/13.42 ![X0,X1,X2,X3,X4]: (is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X1,X2),X3)),equivalent(equivalent(X4,X0),equivalent(equivalent(equivalent(X2,X1),X4),X3)))))),
% 102.93/13.42 inference(resolution,[status(thm)],[f12,f11])).
% 102.93/13.42 fof(f15,plain,(
% 102.93/13.42 ![X0,X1,X2,X3]: (~is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X2),X3)))|is_a_theorem(equivalent(equivalent(equivalent(X2,X1),X0),X3)))),
% 102.93/13.42 inference(resolution,[status(thm)],[f12,f6])).
% 102.93/13.42 fof(f17,plain,(
% 102.93/13.42 ![X0,X1,X2,X3]: (is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X0),X3)),equivalent(equivalent(X2,X1),X3))))),
% 102.93/13.42 inference(resolution,[status(thm)],[f15,f7])).
% 102.93/13.42 fof(f18,plain,(
% 102.93/13.42 ![X0,X1,X2,X3]: (is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X0,equivalent(equivalent(X2,X1),X3))),X3)))),
% 102.93/13.42 inference(resolution,[status(thm)],[f15,f12])).
% 102.93/13.42 fof(f21,plain,(
% 102.93/13.42 ![X0,X1,X2,X3]: (~is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X0),X3)))|is_a_theorem(equivalent(equivalent(X2,X1),X3)))),
% 102.93/13.42 inference(resolution,[status(thm)],[f17,f6])).
% 102.93/13.42 fof(f24,plain,(
% 102.93/13.42 ![X0,X1,X2,X3]: (~is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X0,equivalent(equivalent(X2,X1),X3))))|is_a_theorem(X3))),
% 102.93/13.42 inference(resolution,[status(thm)],[f18,f6])).
% 102.93/13.42 fof(f32,plain,(
% 102.93/13.42 ![X0]: (is_a_theorem(equivalent(X0,X0)))),
% 102.93/13.42 inference(resolution,[status(thm)],[f24,f7])).
% 102.93/13.42 fof(f33,plain,(
% 102.93/13.42 ![X0,X1,X2]: (is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X0),equivalent(X2,X1)))))),
% 102.93/13.42 inference(resolution,[status(thm)],[f32,f11])).
% 102.93/13.42 fof(f38,plain,(
% 102.93/13.42 ![X0,X1,X2]: (is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2))))),
% 103.67/13.44 inference(resolution,[status(thm)],[f33,f15])).
% 103.67/13.44 fof(f39,plain,(
% 103.67/13.44 ![X0,X1,X2]: (~is_a_theorem(equivalent(X0,X1))|is_a_theorem(equivalent(equivalent(X2,X0),equivalent(X2,X1))))),
% 103.67/13.44 inference(resolution,[status(thm)],[f33,f6])).
% 103.67/13.44 fof(f42,plain,(
% 103.67/13.44 ![X0,X1,X2]: (~is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X0,X2)))|is_a_theorem(equivalent(X1,X2)))),
% 103.67/13.44 inference(resolution,[status(thm)],[f38,f6])).
% 103.67/13.44 fof(f45,plain,(
% 103.67/13.44 ![X0,X1,X2,X3,X4,X5]: (is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X0),equivalent(equivalent(equivalent(X3,X4),X2),equivalent(equivalent(X5,X4),equivalent(equivalent(X3,X5),X1)))))))),
% 103.67/13.44 inference(resolution,[status(thm)],[f13,f11])).
% 103.67/13.44 fof(f47,plain,(
% 103.67/13.44 ![X0,X1,X2,X3,X4]: (~is_a_theorem(equivalent(X0,X1))|is_a_theorem(equivalent(equivalent(equivalent(X2,X3),X0),equivalent(equivalent(X4,X3),equivalent(equivalent(X2,X4),X1)))))),
% 103.67/13.44 inference(resolution,[status(thm)],[f13,f6])).
% 103.67/13.44 fof(f52,plain,(
% 103.67/13.44 ![X0,X1,X2,X3,X4]: (~is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X2),X3)))|is_a_theorem(equivalent(equivalent(X4,X0),equivalent(equivalent(equivalent(X2,X1),X4),X3))))),
% 103.67/13.44 inference(resolution,[status(thm)],[f14,f6])).
% 103.67/13.44 fof(f56,plain,(
% 103.67/13.44 ![X0,X1,X2]: (~is_a_theorem(equivalent(X0,X1))|~is_a_theorem(equivalent(X2,X0))|is_a_theorem(equivalent(X2,X1)))),
% 103.67/13.44 inference(resolution,[status(thm)],[f39,f6])).
% 103.67/13.44 fof(f59,plain,(
% 103.67/13.44 ![X0,X1]: (is_a_theorem(equivalent(equivalent(equivalent(X0,X0),X1),X1)))),
% 103.67/13.44 inference(resolution,[status(thm)],[f42,f17])).
% 103.67/13.44 fof(f61,plain,(
% 103.67/13.44 ![X0,X1]: (is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X1),X0))))),
% 103.67/13.44 inference(resolution,[status(thm)],[f42,f7])).
% 103.67/13.44 fof(f65,plain,(
% 103.67/13.44 ![X0,X1,X2]: (is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(equivalent(X2,X2),X0),X1))))),
% 103.67/13.44 inference(resolution,[status(thm)],[f59,f11])).
% 103.67/13.44 fof(f67,plain,(
% 103.67/13.44 ![X0,X1]: (~is_a_theorem(equivalent(equivalent(X0,X0),X1))|is_a_theorem(X1))),
% 103.67/13.44 inference(resolution,[status(thm)],[f59,f6])).
% 103.67/13.44 fof(f74,plain,(
% 103.67/13.44 ![X0,X1]: (~is_a_theorem(X0)|is_a_theorem(equivalent(equivalent(X1,X1),X0)))),
% 103.67/13.44 inference(resolution,[status(thm)],[f61,f6])).
% 103.67/13.44 fof(f82,plain,(
% 103.67/13.44 ![X0,X1]: (is_a_theorem(equivalent(equivalent(X0,X0),equivalent(X1,X1))))),
% 103.67/13.44 inference(resolution,[status(thm)],[f67,f61])).
% 103.67/13.44 fof(f86,plain,(
% 103.67/13.44 ![X0,X1,X2]: (~is_a_theorem(X0)|is_a_theorem(equivalent(equivalent(X1,X2),equivalent(equivalent(X2,X1),X0))))),
% 103.67/13.44 inference(resolution,[status(thm)],[f74,f11])).
% 103.67/13.44 fof(f101,plain,(
% 103.67/13.44 ![X0,X1,X2]: (is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X2)),equivalent(X1,X0))))),
% 103.67/13.44 inference(resolution,[status(thm)],[f82,f15])).
% 103.67/13.44 fof(f109,plain,(
% 103.67/13.44 ![X0]: (~is_a_theorem(equivalent(X0,e))|~is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,c)),equivalent(b,c)),e),X0)))),
% 103.67/13.44 inference(resolution,[status(thm)],[f56,f9])).
% 103.67/13.44 fof(f114,plain,(
% 103.67/13.44 ![X0,X1,X2]: (~is_a_theorem(equivalent(X0,X1))|~is_a_theorem(equivalent(equivalent(X2,X2),X0))|is_a_theorem(X1))),
% 103.67/13.44 inference(resolution,[status(thm)],[f56,f67])).
% 103.67/13.44 fof(f128,plain,(
% 103.67/13.44 ![X0,X1,X2]: (~is_a_theorem(equivalent(X0,X1))|is_a_theorem(equivalent(equivalent(equivalent(X2,X2),X0),X1)))),
% 103.67/13.44 inference(resolution,[status(thm)],[f65,f6])).
% 103.67/13.44 fof(f133,plain,(
% 103.67/13.44 ![X0,X1,X2]: (~is_a_theorem(X0)|~is_a_theorem(equivalent(X1,X2))|is_a_theorem(equivalent(equivalent(X2,X1),X0)))),
% 103.67/13.44 inference(resolution,[status(thm)],[f86,f6])).
% 103.67/13.44 fof(f143,plain,(
% 103.67/13.44 ![X0,X1,X2]: (~is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X2,X2)))|is_a_theorem(equivalent(X1,X0)))),
% 103.67/13.44 inference(resolution,[status(thm)],[f101,f6])).
% 103.67/13.44 fof(f198,plain,(
% 103.67/13.44 ![X0,X1,X2,X3,X4,X5]: (~is_a_theorem(equivalent(X0,X1))|is_a_theorem(equivalent(equivalent(X2,X0),equivalent(equivalent(equivalent(X3,X4),X2),equivalent(equivalent(X5,X4),equivalent(equivalent(X3,X5),X1))))))),
% 103.67/13.44 inference(resolution,[status(thm)],[f45,f6])).
% 103.67/13.44 fof(f204,plain,(
% 103.67/13.44 ![X0,X1,X2,X3,X4]: (~is_a_theorem(equivalent(X0,X1))|is_a_theorem(equivalent(equivalent(equivalent(X2,X3),equivalent(equivalent(X4,X2),X0)),equivalent(equivalent(X4,X3),X1))))),
% 103.67/13.44 inference(resolution,[status(thm)],[f47,f15])).
% 103.67/13.44 fof(f216,plain,(
% 103.67/13.44 ![X0,X1]: (~is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,c)),equivalent(b,c)),e),equivalent(equivalent(X0,X1),equivalent(equivalent(X1,X0),e)))))),
% 103.67/13.44 inference(resolution,[status(thm)],[f109,f8])).
% 103.67/13.44 fof(f231,plain,(
% 103.67/13.44 ~is_a_theorem(equivalent(e,equivalent(equivalent(equivalent(b,c),equivalent(equivalent(a,b),equivalent(a,c))),e)))),
% 103.67/13.44 inference(resolution,[status(thm)],[f216,f39])).
% 103.67/13.44 fof(f233,plain,(
% 103.67/13.44 ![X0]: (~is_a_theorem(equivalent(X0,equivalent(equivalent(equivalent(b,c),equivalent(equivalent(a,b),equivalent(a,c))),e)))|~is_a_theorem(equivalent(e,X0)))),
% 103.67/13.44 inference(resolution,[status(thm)],[f231,f56])).
% 103.67/13.44 fof(f238,plain,(
% 103.67/13.44 ![X0]: (~is_a_theorem(equivalent(equivalent(equivalent(X0,X0),e),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(a,b),equivalent(a,c))),e))))),
% 103.67/13.44 inference(resolution,[status(thm)],[f233,f61])).
% 103.67/13.44 fof(f244,plain,(
% 103.67/13.44 ![X0,X1]: (~is_a_theorem(equivalent(X0,equivalent(equivalent(equivalent(b,c),equivalent(equivalent(a,b),equivalent(a,c))),e)))|~is_a_theorem(equivalent(equivalent(equivalent(X1,X1),e),X0)))),
% 103.67/13.44 inference(resolution,[status(thm)],[f238,f56])).
% 103.67/13.44 fof(f294,plain,(
% 103.67/13.44 ![X0,X1]: (~is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(X1,X0),e)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(a,b),equivalent(a,c))),e))))),
% 103.67/13.44 inference(resolution,[status(thm)],[f244,f7])).
% 103.67/13.44 fof(f424,plain,(
% 103.67/13.44 ![X0,X1,X2]: (~is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X1),X2)))|is_a_theorem(equivalent(X0,X2)))),
% 103.67/13.44 inference(resolution,[status(thm)],[f128,f42])).
% 103.67/13.44 fof(f459,plain,(
% 103.67/13.44 ![X0,X1,X2]: (~is_a_theorem(X0)|is_a_theorem(equivalent(equivalent(equivalent(equivalent(X1,X1),X2),X2),X0)))),
% 103.67/13.44 inference(resolution,[status(thm)],[f133,f61])).
% 103.67/13.44 fof(f511,plain,(
% 103.67/13.44 ![X0,X1,X2]: (is_a_theorem(equivalent(X0,equivalent(X1,X1)))|~is_a_theorem(equivalent(X0,equivalent(X2,X2))))),
% 103.67/13.44 inference(resolution,[status(thm)],[f143,f128])).
% 103.67/13.44 fof(f880,plain,(
% 103.67/13.44 ![X0,X1,X2,X3]: (~is_a_theorem(equivalent(equivalent(X0,X0),X1))|is_a_theorem(equivalent(equivalent(equivalent(equivalent(X2,X2),X3),X3),X1)))),
% 103.67/13.44 inference(resolution,[status(thm)],[f459,f424])).
% 103.67/13.44 fof(f884,plain,(
% 103.67/13.44 spl0_38 <=> ~is_a_theorem(equivalent(equivalent(equivalent(X2,X2),X3),X3))),
% 103.67/13.44 introduced(split_symbol_definition)).
% 103.67/13.44 fof(f885,plain,(
% 103.67/13.44 ![X0,X1]: (~is_a_theorem(equivalent(equivalent(equivalent(X0,X0),X1),X1))|~spl0_38)),
% 103.67/13.44 inference(component_clause,[status(thm)],[f884])).
% 103.67/13.44 fof(f908,plain,(
% 103.67/13.44 spl0_39 <=> is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X0),X1),X1),equivalent(X2,X2)))),
% 103.67/13.44 introduced(split_symbol_definition)).
% 103.67/13.44 fof(f909,plain,(
% 103.67/13.44 ![X0,X1,X2]: (is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X0),X1),X1),equivalent(X2,X2)))|~spl0_39)),
% 103.67/13.44 inference(component_clause,[status(thm)],[f908])).
% 103.67/13.44 fof(f1140,plain,(
% 103.67/13.44 ![X0,X1,X2]: (is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X0,equivalent(equivalent(X2,X2),X1))))|~spl0_39)),
% 103.67/13.44 inference(resolution,[status(thm)],[f909,f21])).
% 103.67/13.44 fof(f1215,plain,(
% 103.67/13.44 ![X0,X1,X2]: (~is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X1,X1),X0)),X2))|is_a_theorem(X2)|~spl0_39)),
% 103.67/13.44 inference(resolution,[status(thm)],[f1140,f114])).
% 103.67/13.44 fof(f1351,plain,(
% 103.67/13.44 ![X0,X1,X2]: (is_a_theorem(equivalent(X0,X1))|~is_a_theorem(equivalent(equivalent(equivalent(X2,X2),X0),X1))|~spl0_39)),
% 103.67/13.44 inference(resolution,[status(thm)],[f1215,f39])).
% 103.67/13.44 fof(f1754,plain,(
% 103.67/13.44 ![X0,X1,X2,X3]: (~is_a_theorem(equivalent(X0,X1))|is_a_theorem(equivalent(equivalent(equivalent(equivalent(X2,X2),X1),X0),equivalent(X3,X3))))),
% 103.67/13.44 inference(resolution,[status(thm)],[f198,f511])).
% 103.67/13.44 fof(f1905,plain,(
% 103.67/13.44 ![X0,X1,X2,X3]: (~is_a_theorem(equivalent(X0,equivalent(X1,X2)))|is_a_theorem(equivalent(equivalent(equivalent(X1,X3),X0),equivalent(X3,X2))))),
% 103.67/13.44 inference(resolution,[status(thm)],[f204,f143])).
% 103.67/13.44 fof(f2155,plain,(
% 103.67/13.44 ![X0,X1,X2]: (is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(equivalent(X2,X1),X0))))|~spl0_39)),
% 103.67/13.44 inference(resolution,[status(thm)],[f1351,f7])).
% 103.67/13.44 fof(f6171,plain,(
% 104.21/13.51 ~is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,c),equivalent(a,b)),e),equivalent(equivalent(c,b),e)))),
% 104.21/13.51 inference(resolution,[status(thm)],[f294,f52])).
% 104.21/13.51 fof(f6175,plain,(
% 104.21/13.51 ![X0]: (~is_a_theorem(equivalent(X0,equivalent(equivalent(c,b),e)))|~is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,c),equivalent(a,b)),e),X0)))),
% 104.21/13.51 inference(resolution,[status(thm)],[f6171,f56])).
% 104.21/13.51 fof(f16304,plain,(
% 104.21/13.51 $false|~spl0_38),
% 104.21/13.51 inference(forward_subsumption_resolution,[status(thm)],[f885,f59])).
% 104.21/13.51 fof(f16305,plain,(
% 104.21/13.51 ~spl0_38),
% 104.21/13.51 inference(contradiction_clause,[status(thm)],[f16304])).
% 104.21/13.51 fof(f28014,plain,(
% 104.21/13.51 ![X0,X1,X2,X3,X4]: (~is_a_theorem(equivalent(equivalent(equivalent(X0,X0),X1),X1))|is_a_theorem(equivalent(equivalent(equivalent(equivalent(X2,X2),X3),X3),equivalent(X4,X4))))),
% 104.21/13.51 inference(resolution,[status(thm)],[f1754,f880])).
% 104.21/13.51 fof(f28015,plain,(
% 104.21/13.51 spl0_38|spl0_39),
% 104.21/13.51 inference(split_clause,[status(thm)],[f28014,f884,f908])).
% 104.21/13.51 fof(f31816,plain,(
% 104.21/13.51 ![X0]: (~is_a_theorem(equivalent(e,equivalent(equivalent(a,c),X0)))|~is_a_theorem(equivalent(equivalent(equivalent(a,b),X0),equivalent(equivalent(c,b),e))))),
% 104.21/13.51 inference(resolution,[status(thm)],[f1905,f6175])).
% 104.21/13.51 fof(f46824,plain,(
% 104.21/13.51 ~is_a_theorem(equivalent(equivalent(equivalent(a,b),equivalent(equivalent(c,a),e)),equivalent(equivalent(c,b),e)))|~spl0_39),
% 104.21/13.51 inference(resolution,[status(thm)],[f31816,f2155])).
% 104.21/13.51 fof(f46825,plain,(
% 104.21/13.51 $false|~spl0_39),
% 104.21/13.51 inference(forward_subsumption_resolution,[status(thm)],[f46824,f17])).
% 104.21/13.51 fof(f46826,plain,(
% 104.21/13.51 ~spl0_39),
% 104.21/13.51 inference(contradiction_clause,[status(thm)],[f46825])).
% 104.21/13.51 fof(f46827,plain,(
% 104.21/13.51 $false),
% 104.21/13.51 inference(sat_refutation,[status(thm)],[f16305,f28015,f46826])).
% 104.21/13.51 % SZS output end CNFRefutation for theBenchmark.p
% 104.21/13.55 % Elapsed time: 13.185044 seconds
% 104.21/13.55 % CPU time: 104.462231 seconds
% 104.21/13.55 % Total memory used: 923.812 MB
% 104.21/13.55 % Net memory used: 874.656 MB
%------------------------------------------------------------------------------