TSTP Solution File: LCL121-1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : LCL121-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n028.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 20:26:26 EDT 2024
% Result : Unsatisfiable 122.01s 15.72s
% Output : CNFRefutation 123.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : LCL121-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n028.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Apr 29 20:34:44 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % Drodi V3.6.0
% 122.01/15.72 % Refutation found
% 122.01/15.72 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 122.01/15.72 % SZS output start CNFRefutation for theBenchmark
% 122.01/15.72 fof(f1,axiom,(
% 122.01/15.72 (![X,Y]: (( ~ is_a_theorem(equivalent(X,Y))| ~ is_a_theorem(X)| is_a_theorem(Y) ) ))),
% 122.01/15.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 122.01/15.72 fof(f2,axiom,(
% 122.01/15.72 (![X,Y,Z,U]: (is_a_theorem(equivalent(X,equivalent(X,equivalent(equivalent(Y,Z),equivalent(equivalent(Y,U),equivalent(Z,U)))))) ))),
% 122.01/15.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 122.01/15.72 fof(f3,negated_conjecture,(
% 122.01/15.72 ~ is_a_theorem(equivalent(a,equivalent(a,equivalent(equivalent(b,equivalent(c,c)),b)))) ),
% 122.01/15.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 122.01/15.72 fof(f4,plain,(
% 122.01/15.72 ![Y]: ((![X]: (~is_a_theorem(equivalent(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 122.01/15.72 inference(miniscoping,[status(esa)],[f1])).
% 122.01/15.72 fof(f5,plain,(
% 122.01/15.72 ![X0,X1]: (~is_a_theorem(equivalent(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 122.01/15.72 inference(cnf_transformation,[status(esa)],[f4])).
% 122.01/15.72 fof(f6,plain,(
% 122.01/15.72 ![X0,X1,X2,X3]: (is_a_theorem(equivalent(X0,equivalent(X0,equivalent(equivalent(X1,X2),equivalent(equivalent(X1,X3),equivalent(X2,X3)))))))),
% 122.01/15.72 inference(cnf_transformation,[status(esa)],[f2])).
% 122.01/15.72 fof(f7,plain,(
% 122.01/15.72 ~is_a_theorem(equivalent(a,equivalent(a,equivalent(equivalent(b,equivalent(c,c)),b))))),
% 122.01/15.72 inference(cnf_transformation,[status(esa)],[f3])).
% 122.01/15.72 fof(f8,plain,(
% 122.01/15.72 ![X0,X1,X2,X3]: (~is_a_theorem(X0)|is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(equivalent(X1,X3),equivalent(X2,X3))))))),
% 122.01/15.72 inference(resolution,[status(thm)],[f6,f5])).
% 122.01/15.72 fof(f9,plain,(
% 122.01/15.72 spl0_0 <=> ~is_a_theorem(X0)|~is_a_theorem(X0)),
% 122.01/15.72 introduced(split_symbol_definition)).
% 122.01/15.72 fof(f10,plain,(
% 122.01/15.72 ![X0]: (~is_a_theorem(X0)|~is_a_theorem(X0)|~spl0_0)),
% 122.01/15.72 inference(component_clause,[status(thm)],[f9])).
% 122.01/15.72 fof(f12,plain,(
% 122.01/15.72 spl0_1 <=> is_a_theorem(equivalent(equivalent(X1,X2),equivalent(equivalent(X1,X3),equivalent(X2,X3))))),
% 122.01/15.72 introduced(split_symbol_definition)).
% 122.01/15.72 fof(f13,plain,(
% 122.01/15.72 ![X0,X1,X2]: (is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X0,X2),equivalent(X1,X2))))|~spl0_1)),
% 122.01/15.72 inference(component_clause,[status(thm)],[f12])).
% 122.01/15.72 fof(f15,plain,(
% 122.01/15.72 ![X0,X1,X2,X3]: (~is_a_theorem(X0)|~is_a_theorem(X0)|is_a_theorem(equivalent(equivalent(X1,X2),equivalent(equivalent(X1,X3),equivalent(X2,X3)))))),
% 122.01/15.72 inference(resolution,[status(thm)],[f8,f5])).
% 122.01/15.72 fof(f16,plain,(
% 122.01/15.72 spl0_0|spl0_1),
% 122.01/15.72 inference(split_clause,[status(thm)],[f15,f9,f12])).
% 122.01/15.72 fof(f17,plain,(
% 122.01/15.72 ![X0]: (~is_a_theorem(X0)|~spl0_0)),
% 122.01/15.72 inference(duplicate_literals_removal,[status(esa)],[f10])).
% 122.01/15.72 fof(f18,plain,(
% 122.01/15.72 $false|~spl0_0),
% 122.01/15.72 inference(backward_subsumption_resolution,[status(thm)],[f6,f17])).
% 122.01/15.72 fof(f19,plain,(
% 122.01/15.72 ~spl0_0),
% 122.01/15.72 inference(contradiction_clause,[status(thm)],[f18])).
% 122.01/15.72 fof(f23,plain,(
% 122.01/15.72 ![X0,X1,X2]: (~is_a_theorem(equivalent(X0,X1))|is_a_theorem(equivalent(equivalent(X0,X2),equivalent(X1,X2)))|~spl0_1)),
% 122.01/15.72 inference(resolution,[status(thm)],[f13,f5])).
% 122.01/15.72 fof(f24,plain,(
% 122.01/15.72 ![X0,X1,X2,X3]: (is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(equivalent(X0,X3),equivalent(X1,X3)),X2)))|~spl0_1)),
% 122.01/15.72 inference(resolution,[status(thm)],[f23,f13])).
% 122.01/15.72 fof(f28,plain,(
% 122.01/15.72 ![X0,X1,X2,X3]: (~is_a_theorem(equivalent(equivalent(X0,X1),X2))|is_a_theorem(equivalent(equivalent(equivalent(X0,X3),equivalent(X1,X3)),X2))|~spl0_1)),
% 122.01/15.72 inference(resolution,[status(thm)],[f24,f5])).
% 122.01/15.72 fof(f30,plain,(
% 122.01/15.72 ![X0,X1,X2,X3]: (is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X1)),equivalent(equivalent(X0,X3),equivalent(X2,X3))))|~spl0_1)),
% 122.01/15.72 inference(resolution,[status(thm)],[f28,f13])).
% 122.01/15.72 fof(f35,plain,(
% 122.01/15.72 ![X0,X1,X2,X3]: (~is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X2,X1)))|is_a_theorem(equivalent(equivalent(X0,X3),equivalent(X2,X3)))|~spl0_1)),
% 122.01/15.72 inference(resolution,[status(thm)],[f30,f5])).
% 122.01/15.72 fof(f36,plain,(
% 122.01/15.72 ![X0,X1,X2]: (is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(X0,X1),X2)))|~spl0_1)),
% 122.01/15.72 inference(resolution,[status(thm)],[f35,f30])).
% 122.01/15.72 fof(f41,plain,(
% 122.01/15.72 ![X0,X1,X2,X3]: (is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(X3,X2)),equivalent(equivalent(X0,X1),X3)))|~spl0_1)),
% 122.01/15.72 inference(resolution,[status(thm)],[f36,f28])).
% 122.01/15.72 fof(f56,plain,(
% 122.01/15.72 ![X0,X1,X2,X3]: (~is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(X3,X2)))|is_a_theorem(equivalent(equivalent(X0,X1),X3))|~spl0_1)),
% 122.01/15.72 inference(resolution,[status(thm)],[f41,f5])).
% 122.01/15.72 fof(f58,plain,(
% 122.01/15.72 ![X0,X1]: (is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X0,X1)))|~spl0_1)),
% 122.01/15.72 inference(resolution,[status(thm)],[f56,f30])).
% 122.01/15.72 fof(f66,plain,(
% 122.01/15.72 ![X0,X1,X2]: (is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X1)),equivalent(X0,X2)))|~spl0_1)),
% 122.01/15.72 inference(resolution,[status(thm)],[f58,f28])).
% 122.01/15.72 fof(f69,plain,(
% 122.01/15.72 ![X0,X1,X2,X3]: (is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(X3,X1),X2)),equivalent(X0,X3)))|~spl0_1)),
% 122.01/15.72 inference(resolution,[status(thm)],[f66,f28])).
% 122.01/15.72 fof(f70,plain,(
% 122.01/15.72 ![X0,X1,X2,X3]: (is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X1)),X3),equivalent(equivalent(X0,X2),X3)))|~spl0_1)),
% 122.01/15.72 inference(resolution,[status(thm)],[f66,f23])).
% 122.01/15.72 fof(f71,plain,(
% 122.01/15.72 ![X0,X1,X2]: (~is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X2,X1)))|is_a_theorem(equivalent(X0,X2))|~spl0_1)),
% 122.01/15.72 inference(resolution,[status(thm)],[f66,f5])).
% 122.01/15.72 fof(f76,plain,(
% 122.01/15.72 ![X0]: (is_a_theorem(equivalent(X0,X0))|~spl0_1)),
% 122.01/15.72 inference(resolution,[status(thm)],[f71,f58])).
% 122.01/15.72 fof(f77,plain,(
% 122.01/15.72 ![X0,X1,X2,X3]: (is_a_theorem(equivalent(X0,equivalent(X1,X2)))|~is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X3),equivalent(X2,X3))))|~spl0_1)),
% 122.01/15.72 inference(resolution,[status(thm)],[f71,f8])).
% 122.01/15.72 fof(f86,plain,(
% 122.01/15.72 ![X0,X1,X2,X3]: (~is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(X3,X1),X2)))|is_a_theorem(equivalent(X0,X3))|~spl0_1)),
% 122.01/15.72 inference(resolution,[status(thm)],[f69,f5])).
% 122.01/15.72 fof(f92,plain,(
% 122.01/15.72 ![X0,X1,X2,X3]: (~is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X1)),X3))|is_a_theorem(equivalent(equivalent(X0,X2),X3))|~spl0_1)),
% 122.01/15.72 inference(resolution,[status(thm)],[f70,f5])).
% 122.01/15.72 fof(f94,plain,(
% 122.01/15.72 ![X0,X1,X2,X3]: (is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X1)),equivalent(X3,X2)),equivalent(X0,X3)))|~spl0_1)),
% 122.01/15.72 inference(resolution,[status(thm)],[f77,f70])).
% 122.01/15.72 fof(f98,plain,(
% 122.01/15.72 ![X0,X1,X2,X3]: (is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,equivalent(X1,X3))),equivalent(equivalent(X0,X3),X2)))|~spl0_1)),
% 122.01/15.72 inference(resolution,[status(thm)],[f77,f24])).
% 122.01/15.72 fof(f101,plain,(
% 122.01/15.72 ![X0,X1,X2,X3]: (is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(X3,X2))),equivalent(X0,equivalent(X1,X3))))|~spl0_1)),
% 122.01/15.72 inference(resolution,[status(thm)],[f77,f6])).
% 122.01/15.72 fof(f105,plain,(
% 122.01/15.72 ![X0,X1,X2,X3]: (is_a_theorem(equivalent(X0,X1))|~is_a_theorem(equivalent(equivalent(X0,X2),equivalent(equivalent(X1,X3),equivalent(X2,X3))))|~spl0_1)),
% 122.01/15.72 inference(resolution,[status(thm)],[f86,f8])).
% 122.01/15.72 fof(f121,plain,(
% 122.01/15.72 ![X0,X1,X2,X3]: (~is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X1)),equivalent(X3,X2)))|is_a_theorem(equivalent(X0,X3))|~spl0_1)),
% 122.01/15.72 inference(resolution,[status(thm)],[f94,f5])).
% 122.01/15.72 fof(f126,plain,(
% 122.01/15.72 ![X0,X1,X2,X3]: (~is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X2,equivalent(X1,X3))))|is_a_theorem(equivalent(equivalent(X0,X3),X2))|~spl0_1)),
% 122.01/15.72 inference(resolution,[status(thm)],[f98,f5])).
% 122.01/15.72 fof(f128,plain,(
% 122.01/15.72 ![X0,X1,X2,X3]: (is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(equivalent(X0,equivalent(X3,X2)),equivalent(X1,X3))))|~spl0_1)),
% 122.01/15.72 inference(resolution,[status(thm)],[f101,f92])).
% 122.01/15.72 fof(f179,plain,(
% 122.01/15.72 ![X0,X1]: (is_a_theorem(equivalent(X0,equivalent(X0,equivalent(X1,X1))))|~spl0_1)),
% 122.01/15.72 inference(resolution,[status(thm)],[f121,f101])).
% 122.01/15.72 fof(f206,plain,(
% 122.01/15.72 ![X0,X1,X2]: (is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X0,equivalent(X2,X2)),X1)))|~spl0_1)),
% 122.01/15.72 inference(resolution,[status(thm)],[f179,f35])).
% 122.01/15.72 fof(f210,plain,(
% 122.01/15.72 ![X0,X1]: (~is_a_theorem(X0)|is_a_theorem(equivalent(X0,equivalent(X1,X1)))|~spl0_1)),
% 122.01/15.72 inference(resolution,[status(thm)],[f179,f5])).
% 122.01/15.72 fof(f232,plain,(
% 122.01/15.72 ![X0,X1]: (is_a_theorem(equivalent(equivalent(X0,X0),equivalent(X1,X1)))|~spl0_1)),
% 122.01/15.72 inference(resolution,[status(thm)],[f210,f76])).
% 122.01/15.72 fof(f241,plain,(
% 122.01/15.72 ![X0,X1,X2]: (is_a_theorem(equivalent(equivalent(equivalent(X0,X0),X1),equivalent(equivalent(X2,X2),X1)))|~spl0_1)),
% 122.01/15.72 inference(resolution,[status(thm)],[f232,f23])).
% 122.01/15.72 fof(f242,plain,(
% 122.01/15.72 spl0_2 <=> ~is_a_theorem(equivalent(X0,X0))),
% 122.01/15.72 introduced(split_symbol_definition)).
% 122.01/15.72 fof(f243,plain,(
% 122.01/15.72 ![X0]: (~is_a_theorem(equivalent(X0,X0))|~spl0_2)),
% 122.01/15.72 inference(component_clause,[status(thm)],[f242])).
% 122.01/15.72 fof(f253,plain,(
% 122.01/15.72 $false|~spl0_1|~spl0_2),
% 122.01/15.72 inference(forward_subsumption_resolution,[status(thm)],[f243,f76])).
% 122.01/15.72 fof(f254,plain,(
% 122.01/15.72 ~spl0_1|~spl0_2),
% 122.01/15.72 inference(contradiction_clause,[status(thm)],[f253])).
% 122.01/15.72 fof(f275,plain,(
% 122.01/15.72 ![X0,X1,X2]: (~is_a_theorem(equivalent(X0,X1))|is_a_theorem(equivalent(equivalent(X0,equivalent(X2,X2)),X1))|~spl0_1)),
% 122.01/15.72 inference(resolution,[status(thm)],[f206,f5])).
% 122.01/15.72 fof(f296,plain,(
% 122.01/15.72 ![X0,X1,X2]: (is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X2),equivalent(X1,X0))))|~spl0_1)),
% 122.01/15.72 inference(resolution,[status(thm)],[f241,f92])).
% 122.01/15.72 fof(f425,plain,(
% 122.01/15.72 ![X0,X1]: (is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X1)),X0))|~spl0_1)),
% 122.01/15.72 inference(resolution,[status(thm)],[f275,f76])).
% 122.01/15.72 fof(f429,plain,(
% 122.01/15.72 ![X0,X1,X2]: (is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X2),X1)),X0))|~spl0_1)),
% 122.01/15.72 inference(resolution,[status(thm)],[f425,f105])).
% 122.01/15.72 fof(f431,plain,(
% 122.01/15.72 ![X0,X1,X2]: (is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(X1,X1)),X2),equivalent(X0,X2)))|~spl0_1)),
% 122.01/15.72 inference(resolution,[status(thm)],[f425,f35])).
% 122.01/15.72 fof(f470,plain,(
% 122.01/15.72 ![X0,X1,X2,X3]: (is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X1)),equivalent(equivalent(X3,X3),equivalent(X2,X0))))|~spl0_1)),
% 122.01/15.72 inference(resolution,[status(thm)],[f296,f28])).
% 122.01/15.72 fof(f475,plain,(
% 122.01/15.72 ![X0,X1,X2]: (~is_a_theorem(equivalent(X0,X1))|is_a_theorem(equivalent(equivalent(X2,X2),equivalent(X1,X0)))|~spl0_1)),
% 122.01/15.72 inference(resolution,[status(thm)],[f296,f5])).
% 122.01/15.72 fof(f615,plain,(
% 122.01/15.72 ![X0,X1,X2,X3]: (is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,equivalent(equivalent(X1,X1),X2)),X2),X3),equivalent(X0,X3)))|~spl0_1)),
% 122.01/15.72 inference(resolution,[status(thm)],[f429,f35])).
% 122.01/15.72 fof(f640,plain,(
% 122.01/15.72 ![X0,X1,X2]: (~is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X1)),X2))|is_a_theorem(equivalent(X0,X2))|~spl0_1)),
% 122.01/15.72 inference(resolution,[status(thm)],[f431,f5])).
% 122.01/15.72 fof(f1833,plain,(
% 122.01/15.72 ![X0,X1,X2]: (is_a_theorem(equivalent(X0,equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X2,X1))))|~spl0_1)),
% 122.01/15.72 inference(resolution,[status(thm)],[f128,f640])).
% 122.01/15.72 fof(f1874,plain,(
% 122.01/15.72 ![X0,X1,X2,X3]: (is_a_theorem(equivalent(equivalent(X0,X0),equivalent(equivalent(equivalent(X1,equivalent(X2,X3)),equivalent(X3,X2)),X1)))|~spl0_1)),
% 122.01/15.72 inference(resolution,[status(thm)],[f1833,f475])).
% 122.01/15.72 fof(f3896,plain,(
% 122.01/15.72 ![X0,X1,X2,X3]: (~is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X2,X1)))|is_a_theorem(equivalent(equivalent(X3,X3),equivalent(X2,X0)))|~spl0_1)),
% 122.01/15.72 inference(resolution,[status(thm)],[f470,f5])).
% 122.01/15.72 fof(f5095,plain,(
% 122.01/15.72 ![X0,X1,X2,X3]: (~is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(equivalent(X1,X1),X2)),X2),X3))|is_a_theorem(equivalent(X0,X3))|~spl0_1)),
% 122.01/15.72 inference(resolution,[status(thm)],[f615,f5])).
% 122.01/15.72 fof(f11955,plain,(
% 122.01/15.72 spl0_68 <=> is_a_theorem(equivalent(equivalent(equivalent(X1,equivalent(X2,X3)),equivalent(X3,X2)),X1))),
% 122.01/15.72 introduced(split_symbol_definition)).
% 122.01/15.72 fof(f11956,plain,(
% 122.01/15.72 ![X0,X1,X2]: (is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X2,X1)),X0))|~spl0_68)),
% 122.01/15.72 inference(component_clause,[status(thm)],[f11955])).
% 122.01/15.72 fof(f11958,plain,(
% 122.01/15.72 ![X0,X1,X2,X3]: (~is_a_theorem(equivalent(X0,X0))|is_a_theorem(equivalent(equivalent(equivalent(X1,equivalent(X2,X3)),equivalent(X3,X2)),X1))|~spl0_1)),
% 122.01/15.72 inference(resolution,[status(thm)],[f1874,f5])).
% 122.01/15.72 fof(f11959,plain,(
% 122.01/15.72 spl0_2|spl0_68|~spl0_1),
% 122.01/15.72 inference(split_clause,[status(thm)],[f11958,f242,f11955,f12])).
% 122.01/15.72 fof(f12062,plain,(
% 123.20/15.87 ![X0,X1,X2,X3]: (is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,equivalent(equivalent(X1,X2),X3)),equivalent(X2,X1)),X3),X0))|~spl0_68|~spl0_1)),
% 123.20/15.87 inference(resolution,[status(thm)],[f11956,f126])).
% 123.20/15.87 fof(f57006,plain,(
% 123.20/15.87 ![X0,X1,X2]: (is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X1,equivalent(X2,X2)),X1)),X0))|~spl0_68|~spl0_1)),
% 123.20/15.87 inference(resolution,[status(thm)],[f12062,f5095])).
% 123.20/15.87 fof(f57195,plain,(
% 123.20/15.87 ![X0,X1,X2,X3]: (is_a_theorem(equivalent(equivalent(X0,X0),equivalent(X1,equivalent(X1,equivalent(equivalent(X2,equivalent(X3,X3)),X2)))))|~spl0_68|~spl0_1)),
% 123.20/15.87 inference(resolution,[status(thm)],[f57006,f3896])).
% 123.20/15.87 fof(f117216,plain,(
% 123.20/15.87 spl0_154 <=> is_a_theorem(equivalent(X1,equivalent(X1,equivalent(equivalent(X2,equivalent(X3,X3)),X2))))),
% 123.20/15.87 introduced(split_symbol_definition)).
% 123.20/15.87 fof(f117217,plain,(
% 123.20/15.87 ![X0,X1,X2]: (is_a_theorem(equivalent(X0,equivalent(X0,equivalent(equivalent(X1,equivalent(X2,X2)),X1))))|~spl0_154)),
% 123.20/15.87 inference(component_clause,[status(thm)],[f117216])).
% 123.20/15.87 fof(f117219,plain,(
% 123.20/15.87 ![X0,X1,X2,X3]: (~is_a_theorem(equivalent(X0,X0))|is_a_theorem(equivalent(X1,equivalent(X1,equivalent(equivalent(X2,equivalent(X3,X3)),X2))))|~spl0_68|~spl0_1)),
% 123.20/15.87 inference(resolution,[status(thm)],[f57195,f5])).
% 123.20/15.87 fof(f117220,plain,(
% 123.20/15.87 spl0_2|spl0_154|~spl0_68|~spl0_1),
% 123.20/15.87 inference(split_clause,[status(thm)],[f117219,f242,f117216,f11955,f12])).
% 123.20/15.87 fof(f117265,plain,(
% 123.20/15.87 $false|~spl0_154),
% 123.20/15.87 inference(backward_subsumption_resolution,[status(thm)],[f7,f117217])).
% 123.20/15.87 fof(f117266,plain,(
% 123.20/15.87 ~spl0_154),
% 123.20/15.87 inference(contradiction_clause,[status(thm)],[f117265])).
% 123.20/15.87 fof(f117267,plain,(
% 123.20/15.87 $false),
% 123.20/15.87 inference(sat_refutation,[status(thm)],[f16,f19,f254,f11959,f117220,f117266])).
% 123.20/15.87 % SZS output end CNFRefutation for theBenchmark.p
% 123.77/15.94 % Elapsed time: 15.562205 seconds
% 123.77/15.94 % CPU time: 123.517033 seconds
% 123.77/15.94 % Total memory used: 2.201 GB
% 123.77/15.94 % Net memory used: 2.178 GB
%------------------------------------------------------------------------------