TSTP Solution File: LCL095-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : LCL095-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n014.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 : Wed May 31 12:18:14 EDT 2023
% Result : Unsatisfiable 58.52s 7.75s
% Output : CNFRefutation 58.79s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : LCL095-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35 % Computer : n014.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue May 30 09:34:49 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % Drodi V3.5.1
% 58.52/7.75 % Refutation found
% 58.52/7.75 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 58.52/7.75 % SZS output start CNFRefutation for theBenchmark
% 58.52/7.75 fof(f1,axiom,(
% 58.52/7.75 (![X,Y]: (( ~ is_a_theorem(implies(X,Y))| ~ is_a_theorem(X)| is_a_theorem(Y) ) ))),
% 58.52/7.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 58.52/7.75 fof(f2,axiom,(
% 58.52/7.75 (![P,Q,R,S,T]: (is_a_theorem(implies(implies(implies(P,Q),implies(R,S)),implies(implies(S,P),implies(T,implies(R,P))))) ))),
% 58.52/7.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 58.52/7.75 fof(f3,negated_conjecture,(
% 58.52/7.75 ~ is_a_theorem(implies(a,implies(implies(a,b),b))) ),
% 58.52/7.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 58.52/7.75 fof(f4,plain,(
% 58.52/7.75 ![Y]: ((![X]: (~is_a_theorem(implies(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 58.52/7.75 inference(miniscoping,[status(esa)],[f1])).
% 58.52/7.75 fof(f5,plain,(
% 58.52/7.75 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 58.52/7.75 inference(cnf_transformation,[status(esa)],[f4])).
% 58.52/7.75 fof(f6,plain,(
% 58.52/7.75 ![X0,X1,X2,X3,X4]: (is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X3)),implies(implies(X3,X0),implies(X4,implies(X2,X0))))))),
% 58.52/7.75 inference(cnf_transformation,[status(esa)],[f2])).
% 58.52/7.75 fof(f7,plain,(
% 58.52/7.75 ~is_a_theorem(implies(a,implies(implies(a,b),b)))),
% 58.52/7.75 inference(cnf_transformation,[status(esa)],[f3])).
% 58.52/7.75 fof(f8,plain,(
% 58.52/7.75 ![X0,X1,X2,X3,X4]: (~is_a_theorem(implies(implies(X0,X1),implies(X2,X3)))|is_a_theorem(implies(implies(X3,X0),implies(X4,implies(X2,X0)))))),
% 58.52/7.75 inference(resolution,[status(thm)],[f6,f5])).
% 58.52/7.75 fof(f9,plain,(
% 58.52/7.75 ![X0,X1,X2,X3,X4]: (~is_a_theorem(implies(implies(X0,X1),implies(X2,X3)))|~is_a_theorem(implies(X3,X0))|is_a_theorem(implies(X4,implies(X2,X0))))),
% 58.52/7.75 inference(resolution,[status(thm)],[f8,f5])).
% 58.52/7.75 fof(f10,plain,(
% 58.52/7.75 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,implies(X3,X1))),X4),implies(X5,implies(implies(X1,X6),implies(X3,X0)))))|is_a_theorem(implies(X7,implies(X5,implies(implies(X0,X1),implies(X2,implies(X3,X1)))))))),
% 58.52/7.75 inference(resolution,[status(thm)],[f9,f6])).
% 58.52/7.75 fof(f11,plain,(
% 58.52/7.75 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~is_a_theorem(implies(implies(implies(X0,implies(X1,X2)),X3),implies(X4,implies(X5,X2))))|is_a_theorem(implies(X6,implies(X4,implies(X0,implies(X1,X2)))))|~is_a_theorem(implies(implies(X2,X7),implies(X1,X5))))),
% 58.52/7.75 inference(resolution,[status(thm)],[f9,f8])).
% 58.52/7.75 fof(f12,plain,(
% 58.52/7.75 ![X0,X1,X2,X3,X4,X5,X6,X7]: (is_a_theorem(implies(X0,implies(X1,implies(implies(X2,X3),implies(X4,implies(X5,X3))))))|~is_a_theorem(implies(implies(implies(X5,X2),X6),implies(implies(X3,X7),implies(implies(X2,X3),implies(X4,implies(X5,X3)))))))),
% 58.52/7.75 inference(resolution,[status(thm)],[f10,f8])).
% 58.52/7.75 fof(f13,plain,(
% 58.52/7.75 ![X0,X1,X2,X3,X4,X5,X6,X7,X8]: (~is_a_theorem(implies(implies(implies(X0,implies(implies(X1,X2),implies(X2,X3))),X4),implies(X5,implies(implies(X6,implies(X7,X2)),implies(X2,X3)))))|is_a_theorem(implies(X8,implies(X5,implies(X0,implies(implies(X1,X2),implies(X2,X3)))))))),
% 58.52/7.75 inference(resolution,[status(thm)],[f11,f6])).
% 58.52/7.75 fof(f14,plain,(
% 58.52/7.75 ![X0,X1,X2,X3,X4,X5,X6,X7,X8]: (~is_a_theorem(implies(implies(implies(X0,implies(X1,X2)),X3),implies(X4,implies(implies(X5,X6),X2))))|is_a_theorem(implies(X7,implies(X4,implies(X0,implies(X1,X2)))))|~is_a_theorem(implies(implies(X6,X8),implies(X5,X2))))),
% 58.52/7.75 inference(resolution,[status(thm)],[f11,f8])).
% 58.52/7.75 fof(f15,plain,(
% 58.52/7.75 ![X0,X1,X2,X3,X4,X5,X6]: (is_a_theorem(implies(X0,implies(X1,implies(implies(X2,X3),implies(X4,implies(X5,X3))))))|~is_a_theorem(implies(implies(implies(X4,implies(X5,X3)),X6),implies(implies(X2,X3),implies(X5,X2)))))),
% 58.52/7.75 inference(resolution,[status(thm)],[f12,f8])).
% 58.52/7.75 fof(f16,plain,(
% 58.52/7.75 ![X0,X1,X2,X3,X4]: (is_a_theorem(implies(X0,implies(X1,implies(implies(implies(X2,X3),X3),implies(X3,implies(X4,X3)))))))),
% 58.52/7.75 inference(resolution,[status(thm)],[f15,f6])).
% 58.52/7.75 fof(f17,plain,(
% 58.52/7.75 ![X0,X1,X2,X3,X4,X5,X6]: (is_a_theorem(implies(X0,implies(X1,implies(implies(X2,X3),implies(X4,implies(X5,X3))))))|~is_a_theorem(implies(implies(X2,X6),implies(X5,implies(X4,implies(X5,X3))))))),
% 58.52/7.75 inference(resolution,[status(thm)],[f15,f8])).
% 58.52/7.75 fof(f18,plain,(
% 58.52/7.75 ![X0,X1,X2,X3,X4,X5]: (is_a_theorem(implies(X0,implies(X1,implies(implies(implies(X2,X3),implies(X4,X3)),implies(X5,implies(X3,implies(X4,X3))))))))),
% 58.52/7.75 inference(resolution,[status(thm)],[f16,f10])).
% 58.52/7.75 fof(f23,plain,(
% 58.52/7.75 spl0_0 <=> ~is_a_theorem(X0)),
% 58.52/7.75 introduced(split_symbol_definition)).
% 58.52/7.75 fof(f24,plain,(
% 58.52/7.75 ![X0]: (~is_a_theorem(X0)|~spl0_0)),
% 58.52/7.75 inference(component_clause,[status(thm)],[f23])).
% 58.52/7.75 fof(f36,plain,(
% 58.52/7.75 spl0_2 <=> is_a_theorem(implies(X1,implies(implies(implies(X2,X3),implies(X4,X3)),implies(X5,implies(X3,implies(X4,X3))))))),
% 58.52/7.75 introduced(split_symbol_definition)).
% 58.52/7.75 fof(f37,plain,(
% 58.52/7.75 ![X0,X1,X2,X3,X4]: (is_a_theorem(implies(X0,implies(implies(implies(X1,X2),implies(X3,X2)),implies(X4,implies(X2,implies(X3,X2))))))|~spl0_2)),
% 58.52/7.75 inference(component_clause,[status(thm)],[f36])).
% 58.52/7.75 fof(f39,plain,(
% 58.52/7.75 ![X0,X1,X2,X3,X4,X5]: (~is_a_theorem(X0)|is_a_theorem(implies(X1,implies(implies(implies(X2,X3),implies(X4,X3)),implies(X5,implies(X3,implies(X4,X3)))))))),
% 58.52/7.75 inference(resolution,[status(thm)],[f18,f5])).
% 58.52/7.75 fof(f40,plain,(
% 58.52/7.75 spl0_0|spl0_2),
% 58.52/7.75 inference(split_clause,[status(thm)],[f39,f23,f36])).
% 58.52/7.75 fof(f61,plain,(
% 58.52/7.75 ![X0,X1,X2,X3,X4,X5]: (is_a_theorem(implies(X0,implies(X1,implies(implies(implies(X2,X3),X2),implies(X4,implies(implies(X5,X2),X2)))))))),
% 58.52/7.75 inference(resolution,[status(thm)],[f17,f6])).
% 58.52/7.75 fof(f68,plain,(
% 58.52/7.75 ![X0,X1,X2,X3,X4,X5,X6,X7]: (is_a_theorem(implies(X0,implies(X1,implies(implies(implies(X2,implies(implies(X3,X4),X4)),X5),implies(X6,implies(implies(implies(X4,X7),X4),X5)))))))),
% 58.52/7.75 inference(resolution,[status(thm)],[f61,f15])).
% 58.52/7.75 fof(f73,plain,(
% 58.52/7.75 spl0_5 <=> is_a_theorem(implies(X1,implies(implies(implies(X2,X3),X2),implies(X4,implies(implies(X5,X2),X2)))))),
% 58.52/7.75 introduced(split_symbol_definition)).
% 58.52/7.75 fof(f74,plain,(
% 58.52/7.75 ![X0,X1,X2,X3,X4]: (is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X1),implies(X3,implies(implies(X4,X1),X1)))))|~spl0_5)),
% 58.52/7.75 inference(component_clause,[status(thm)],[f73])).
% 58.52/7.75 fof(f76,plain,(
% 58.52/7.75 ![X0,X1,X2,X3,X4,X5]: (~is_a_theorem(X0)|is_a_theorem(implies(X1,implies(implies(implies(X2,X3),X2),implies(X4,implies(implies(X5,X2),X2))))))),
% 58.52/7.75 inference(resolution,[status(thm)],[f61,f5])).
% 58.52/7.75 fof(f77,plain,(
% 58.52/7.75 spl0_0|spl0_5),
% 58.52/7.75 inference(split_clause,[status(thm)],[f76,f23,f73])).
% 58.52/7.75 fof(f89,plain,(
% 58.52/7.75 ![X0,X1,X2,X3,X4]: (is_a_theorem(implies(X0,implies(implies(X1,X2),implies(X2,implies(implies(X3,X4),implies(X4,X2)))))))),
% 58.52/7.75 inference(resolution,[status(thm)],[f13,f6])).
% 58.52/7.75 fof(f96,plain,(
% 58.52/7.75 ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9]: (~is_a_theorem(implies(implies(implies(X0,implies(X1,implies(X2,X3))),X4),implies(X5,implies(implies(X6,X7),implies(X2,X3)))))|is_a_theorem(implies(X8,implies(X5,implies(X0,implies(X1,implies(X2,X3))))))|~is_a_theorem(implies(implies(X3,X9),implies(X2,X7))))),
% 58.52/7.75 inference(resolution,[status(thm)],[f14,f8])).
% 58.52/7.75 fof(f103,plain,(
% 58.52/7.75 ![X0,X1,X2,X3,X4,X5,X6]: (is_a_theorem(implies(X0,implies(implies(X1,implies(X2,X3)),implies(implies(implies(X4,implies(X2,X3)),X2),implies(X5,implies(implies(X6,X4),X2)))))))),
% 58.52/7.75 inference(resolution,[status(thm)],[f89,f10])).
% 58.52/7.75 fof(f110,plain,(
% 58.52/7.75 spl0_7 <=> is_a_theorem(implies(implies(X1,X2),implies(X2,implies(implies(X3,X4),implies(X4,X2)))))),
% 58.52/7.75 introduced(split_symbol_definition)).
% 58.52/7.75 fof(f111,plain,(
% 58.52/7.75 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(X0,X1),implies(X1,implies(implies(X2,X3),implies(X3,X1)))))|~spl0_7)),
% 58.52/7.75 inference(component_clause,[status(thm)],[f110])).
% 58.52/7.75 fof(f113,plain,(
% 58.52/7.75 ![X0,X1,X2,X3,X4]: (~is_a_theorem(X0)|is_a_theorem(implies(implies(X1,X2),implies(X2,implies(implies(X3,X4),implies(X4,X2))))))),
% 58.52/7.75 inference(resolution,[status(thm)],[f89,f5])).
% 58.52/7.75 fof(f114,plain,(
% 58.52/7.75 spl0_0|spl0_7),
% 58.52/7.75 inference(split_clause,[status(thm)],[f113,f23,f110])).
% 58.52/7.75 fof(f214,plain,(
% 58.52/7.75 spl0_15 <=> is_a_theorem(implies(X1,implies(implies(implies(X2,implies(implies(X3,X4),X4)),X5),implies(X6,implies(implies(implies(X4,X7),X4),X5)))))),
% 58.52/7.75 introduced(split_symbol_definition)).
% 58.52/7.75 fof(f215,plain,(
% 58.52/7.75 ![X0,X1,X2,X3,X4,X5,X6]: (is_a_theorem(implies(X0,implies(implies(implies(X1,implies(implies(X2,X3),X3)),X4),implies(X5,implies(implies(implies(X3,X6),X3),X4)))))|~spl0_15)),
% 58.52/7.75 inference(component_clause,[status(thm)],[f214])).
% 58.52/7.75 fof(f217,plain,(
% 58.52/7.75 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~is_a_theorem(X0)|is_a_theorem(implies(X1,implies(implies(implies(X2,implies(implies(X3,X4),X4)),X5),implies(X6,implies(implies(implies(X4,X7),X4),X5))))))),
% 58.52/7.75 inference(resolution,[status(thm)],[f68,f5])).
% 58.52/7.75 fof(f218,plain,(
% 58.52/7.75 spl0_0|spl0_15),
% 58.52/7.75 inference(split_clause,[status(thm)],[f217,f23,f214])).
% 58.52/7.75 fof(f222,plain,(
% 58.52/7.75 ![X0,X1,X2,X3,X4,X5,X6]: (is_a_theorem(implies(X0,implies(X1,implies(implies(implies(X2,implies(X3,X4)),X3),implies(X5,implies(implies(X6,X2),X3)))))))),
% 58.52/7.75 inference(resolution,[status(thm)],[f103,f12])).
% 58.52/7.75 fof(f240,plain,(
% 58.52/7.75 spl0_17 <=> is_a_theorem(implies(X1,implies(implies(implies(X2,implies(X3,X4)),X3),implies(X5,implies(implies(X6,X2),X3)))))),
% 58.52/7.75 introduced(split_symbol_definition)).
% 58.52/7.75 fof(f241,plain,(
% 58.52/7.75 ![X0,X1,X2,X3,X4,X5]: (is_a_theorem(implies(X0,implies(implies(implies(X1,implies(X2,X3)),X2),implies(X4,implies(implies(X5,X1),X2)))))|~spl0_17)),
% 58.52/7.75 inference(component_clause,[status(thm)],[f240])).
% 58.52/7.75 fof(f243,plain,(
% 58.52/7.75 ![X0,X1,X2,X3,X4,X5,X6]: (~is_a_theorem(X0)|is_a_theorem(implies(X1,implies(implies(implies(X2,implies(X3,X4)),X3),implies(X5,implies(implies(X6,X2),X3))))))),
% 58.52/7.75 inference(resolution,[status(thm)],[f222,f5])).
% 58.52/7.75 fof(f244,plain,(
% 58.52/7.75 spl0_0|spl0_17),
% 58.52/7.75 inference(split_clause,[status(thm)],[f243,f23,f240])).
% 58.52/7.75 fof(f285,plain,(
% 58.52/7.75 spl0_20 <=> ~is_a_theorem(implies(implies(implies(X0,implies(X1,implies(X2,X3))),X4),implies(X5,implies(implies(X6,X7),implies(X2,X3)))))|~is_a_theorem(implies(implies(X3,X8),implies(X2,X7)))|is_a_theorem(implies(X5,implies(X0,implies(X1,implies(X2,X3)))))),
% 58.52/7.75 introduced(split_symbol_definition)).
% 58.52/7.75 fof(f286,plain,(
% 58.52/7.75 ![X0,X1,X2,X3,X4,X5,X6,X7,X8]: (~is_a_theorem(implies(implies(implies(X0,implies(X1,implies(X2,X3))),X4),implies(X5,implies(implies(X6,X7),implies(X2,X3)))))|~is_a_theorem(implies(implies(X3,X8),implies(X2,X7)))|is_a_theorem(implies(X5,implies(X0,implies(X1,implies(X2,X3)))))|~spl0_20)),
% 58.52/7.75 inference(component_clause,[status(thm)],[f285])).
% 58.52/7.75 fof(f288,plain,(
% 58.52/7.75 ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9]: (~is_a_theorem(implies(implies(implies(X0,implies(X1,implies(X2,X3))),X4),implies(X5,implies(implies(X6,X7),implies(X2,X3)))))|~is_a_theorem(implies(implies(X3,X8),implies(X2,X7)))|~is_a_theorem(X9)|is_a_theorem(implies(X5,implies(X0,implies(X1,implies(X2,X3))))))),
% 58.52/7.75 inference(resolution,[status(thm)],[f96,f5])).
% 58.52/7.75 fof(f289,plain,(
% 58.52/7.75 spl0_20|spl0_0),
% 58.52/7.75 inference(split_clause,[status(thm)],[f288,f285,f23])).
% 58.52/7.75 fof(f290,plain,(
% 58.52/7.75 $false|~spl0_0),
% 58.52/7.75 inference(backward_subsumption_resolution,[status(thm)],[f6,f24])).
% 58.52/7.75 fof(f291,plain,(
% 58.52/7.75 ~spl0_0),
% 58.52/7.75 inference(contradiction_clause,[status(thm)],[f290])).
% 58.52/7.75 fof(f292,plain,(
% 58.52/7.75 ![X0,X1,X2,X3,X4,X5,X6,X7,X8]: (~is_a_theorem(implies(implies(implies(X0,implies(X1,implies(X2,X3))),X4),implies(X5,implies(implies(X6,implies(implies(X7,X8),implies(X8,X2))),implies(X2,X3)))))|is_a_theorem(implies(X5,implies(X0,implies(X1,implies(X2,X3)))))|~spl0_20|~spl0_7)),
% 58.52/7.75 inference(resolution,[status(thm)],[f286,f111])).
% 58.52/7.75 fof(f317,plain,(
% 58.52/7.75 ![X0,X1,X2,X3,X4,X5]: (is_a_theorem(implies(implies(implies(X0,implies(X1,X2)),X1),implies(X3,implies(X4,implies(implies(X5,X0),X1)))))|~spl0_20|~spl0_7|~spl0_17)),
% 58.52/7.75 inference(resolution,[status(thm)],[f292,f241])).
% 58.52/7.75 fof(f329,plain,(
% 58.52/7.75 ![X0,X1,X2,X3]: (is_a_theorem(implies(X0,implies(X1,implies(X2,implies(implies(X3,X1),X2)))))|~spl0_17|~spl0_20|~spl0_7)),
% 58.52/7.75 inference(resolution,[status(thm)],[f317,f292])).
% 58.52/7.75 fof(f412,plain,(
% 58.52/7.75 spl0_28 <=> is_a_theorem(implies(implies(implies(X1,implies(X2,X3)),X2),implies(X4,implies(implies(X5,X1),X2))))),
% 58.52/7.75 introduced(split_symbol_definition)).
% 58.52/7.75 fof(f413,plain,(
% 58.52/7.75 ![X0,X1,X2,X3,X4]: (is_a_theorem(implies(implies(implies(X0,implies(X1,X2)),X1),implies(X3,implies(implies(X4,X0),X1))))|~spl0_28)),
% 58.52/7.75 inference(component_clause,[status(thm)],[f412])).
% 58.52/7.75 fof(f415,plain,(
% 58.52/7.75 ![X0,X1,X2,X3,X4,X5]: (~is_a_theorem(X0)|is_a_theorem(implies(implies(implies(X1,implies(X2,X3)),X2),implies(X4,implies(implies(X5,X1),X2))))|~spl0_17)),
% 58.52/7.75 inference(resolution,[status(thm)],[f5,f241])).
% 58.52/7.75 fof(f416,plain,(
% 58.52/7.75 spl0_0|spl0_28|~spl0_17),
% 58.52/7.75 inference(split_clause,[status(thm)],[f415,f23,f412,f240])).
% 58.52/7.75 fof(f417,plain,(
% 58.52/7.75 spl0_29 <=> is_a_theorem(implies(implies(implies(X1,X2),implies(X3,X2)),implies(X4,implies(X2,implies(X3,X2)))))),
% 58.52/7.75 introduced(split_symbol_definition)).
% 58.52/7.75 fof(f418,plain,(
% 58.52/7.75 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),implies(X3,implies(X1,implies(X2,X1)))))|~spl0_29)),
% 58.52/7.75 inference(component_clause,[status(thm)],[f417])).
% 58.52/7.75 fof(f420,plain,(
% 58.52/7.75 ![X0,X1,X2,X3,X4]: (~is_a_theorem(X0)|is_a_theorem(implies(implies(implies(X1,X2),implies(X3,X2)),implies(X4,implies(X2,implies(X3,X2)))))|~spl0_2)),
% 58.52/7.75 inference(resolution,[status(thm)],[f5,f37])).
% 58.52/7.75 fof(f421,plain,(
% 58.52/7.75 spl0_0|spl0_29|~spl0_2),
% 58.52/7.75 inference(split_clause,[status(thm)],[f420,f23,f417,f36])).
% 58.52/7.75 fof(f422,plain,(
% 58.52/7.75 spl0_30 <=> is_a_theorem(implies(implies(implies(X1,X2),X1),implies(X3,implies(implies(X4,X1),X1))))),
% 58.52/7.75 introduced(split_symbol_definition)).
% 58.52/7.75 fof(f423,plain,(
% 58.52/7.75 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(X0,X1),X0),implies(X2,implies(implies(X3,X0),X0))))|~spl0_30)),
% 58.52/7.75 inference(component_clause,[status(thm)],[f422])).
% 58.52/7.75 fof(f425,plain,(
% 58.52/7.75 ![X0,X1,X2,X3,X4]: (~is_a_theorem(X0)|is_a_theorem(implies(implies(implies(X1,X2),X1),implies(X3,implies(implies(X4,X1),X1))))|~spl0_5)),
% 58.52/7.75 inference(resolution,[status(thm)],[f5,f74])).
% 58.52/7.75 fof(f426,plain,(
% 58.52/7.75 spl0_0|spl0_30|~spl0_5),
% 58.52/7.75 inference(split_clause,[status(thm)],[f425,f23,f422,f73])).
% 58.52/7.75 fof(f462,plain,(
% 58.52/7.75 spl0_38 <=> is_a_theorem(implies(X1,implies(X2,implies(implies(X3,X1),X2))))),
% 58.52/7.75 introduced(split_symbol_definition)).
% 58.52/7.75 fof(f463,plain,(
% 58.52/7.75 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(X1,implies(implies(X2,X0),X1))))|~spl0_38)),
% 58.52/7.75 inference(component_clause,[status(thm)],[f462])).
% 58.52/7.75 fof(f465,plain,(
% 58.52/7.75 ![X0,X1,X2,X3]: (~is_a_theorem(X0)|is_a_theorem(implies(X1,implies(X2,implies(implies(X3,X1),X2))))|~spl0_17|~spl0_20|~spl0_7)),
% 58.52/7.75 inference(resolution,[status(thm)],[f5,f329])).
% 58.52/7.75 fof(f466,plain,(
% 58.52/7.75 spl0_0|spl0_38|~spl0_17|~spl0_20|~spl0_7),
% 58.52/7.75 inference(split_clause,[status(thm)],[f465,f23,f462,f240,f285,f110])).
% 58.52/7.75 fof(f488,plain,(
% 58.52/7.75 spl0_40 <=> ~is_a_theorem(implies(implies(X0,X1),implies(X2,X3)))|~is_a_theorem(implies(X3,X0))|is_a_theorem(implies(X2,X0))),
% 58.52/7.75 introduced(split_symbol_definition)).
% 58.52/7.75 fof(f489,plain,(
% 58.52/7.75 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(X0,X1),implies(X2,X3)))|~is_a_theorem(implies(X3,X0))|is_a_theorem(implies(X2,X0))|~spl0_40)),
% 58.52/7.75 inference(component_clause,[status(thm)],[f488])).
% 58.52/7.75 fof(f491,plain,(
% 58.52/7.75 ![X0,X1,X2,X3,X4]: (~is_a_theorem(implies(implies(X0,X1),implies(X2,X3)))|~is_a_theorem(implies(X3,X0))|~is_a_theorem(X4)|is_a_theorem(implies(X2,X0)))),
% 58.52/7.75 inference(resolution,[status(thm)],[f9,f5])).
% 58.52/7.75 fof(f492,plain,(
% 58.52/7.75 spl0_40|spl0_0),
% 58.52/7.75 inference(split_clause,[status(thm)],[f491,f488,f23])).
% 58.52/7.75 fof(f501,plain,(
% 58.52/7.75 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(X0,X1),implies(X1,implies(X2,implies(X3,X1)))))|~spl0_20|~spl0_7)),
% 58.52/7.75 inference(resolution,[status(thm)],[f6,f292])).
% 58.52/7.75 fof(f579,plain,(
% 58.52/7.75 spl0_44 <=> ~is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,implies(X3,X1))),X4),implies(X5,implies(implies(X1,X6),implies(X3,X0)))))|is_a_theorem(implies(X5,implies(implies(X0,X1),implies(X2,implies(X3,X1)))))),
% 58.52/7.75 introduced(split_symbol_definition)).
% 58.52/7.75 fof(f580,plain,(
% 58.52/7.75 ![X0,X1,X2,X3,X4,X5,X6]: (~is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,implies(X3,X1))),X4),implies(X5,implies(implies(X1,X6),implies(X3,X0)))))|is_a_theorem(implies(X5,implies(implies(X0,X1),implies(X2,implies(X3,X1)))))|~spl0_44)),
% 58.52/7.75 inference(component_clause,[status(thm)],[f579])).
% 58.52/7.75 fof(f582,plain,(
% 58.52/7.75 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,implies(X3,X1))),X4),implies(X5,implies(implies(X1,X6),implies(X3,X0)))))|~is_a_theorem(X7)|is_a_theorem(implies(X5,implies(implies(X0,X1),implies(X2,implies(X3,X1))))))),
% 58.52/7.75 inference(resolution,[status(thm)],[f10,f5])).
% 58.52/7.75 fof(f583,plain,(
% 58.52/7.75 spl0_44|spl0_0),
% 58.52/7.75 inference(split_clause,[status(thm)],[f582,f579,f23])).
% 58.52/7.75 fof(f982,plain,(
% 58.52/7.75 ![X0,X1,X2,X3]: (is_a_theorem(implies(X0,implies(implies(X0,X1),implies(X2,implies(X3,X1)))))|~spl0_44|~spl0_20|~spl0_7)),
% 58.52/7.75 inference(resolution,[status(thm)],[f580,f501])).
% 58.52/7.75 fof(f1023,plain,(
% 58.52/7.75 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X3,implies(X0,X2)))))|~spl0_44|~spl0_38)),
% 58.52/7.75 inference(resolution,[status(thm)],[f580,f463])).
% 58.52/7.75 fof(f1086,plain,(
% 58.52/7.75 ![X0,X1,X2,X3]: (is_a_theorem(implies(X0,implies(implies(X1,X2),implies(implies(X3,X1),implies(X3,X2)))))|~spl0_28|~spl0_44)),
% 58.52/7.75 inference(resolution,[status(thm)],[f413,f580])).
% 58.52/7.75 fof(f1166,plain,(
% 58.52/7.75 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(X0,X1),X0))|is_a_theorem(implies(X2,implies(implies(X3,X0),X0)))|~spl0_30)),
% 58.52/7.75 inference(resolution,[status(thm)],[f5,f423])).
% 58.52/7.75 fof(f1170,plain,(
% 58.52/7.75 ![X0,X1,X2,X3]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(implies(X1,X2),implies(X3,implies(X0,X2))))|~spl0_44|~spl0_38)),
% 58.52/7.75 inference(resolution,[status(thm)],[f5,f1023])).
% 58.52/7.75 fof(f1881,plain,(
% 58.52/7.75 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X3,implies(X2,X2)))))|~spl0_28|~spl0_44)),
% 58.52/7.75 inference(resolution,[status(thm)],[f1086,f580])).
% 58.52/7.75 fof(f1890,plain,(
% 58.52/7.75 spl0_113 <=> is_a_theorem(implies(implies(X1,X2),implies(implies(X3,X1),implies(X3,X2))))),
% 58.52/7.75 introduced(split_symbol_definition)).
% 58.52/7.75 fof(f1891,plain,(
% 58.52/7.75 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1))))|~spl0_113)),
% 58.52/7.75 inference(component_clause,[status(thm)],[f1890])).
% 58.52/7.75 fof(f1893,plain,(
% 58.52/7.75 ![X0,X1,X2,X3]: (~is_a_theorem(X0)|is_a_theorem(implies(implies(X1,X2),implies(implies(X3,X1),implies(X3,X2))))|~spl0_28|~spl0_44)),
% 58.52/7.75 inference(resolution,[status(thm)],[f1086,f5])).
% 58.52/7.75 fof(f1894,plain,(
% 58.52/7.75 spl0_0|spl0_113|~spl0_28|~spl0_44),
% 58.52/7.75 inference(split_clause,[status(thm)],[f1893,f23,f1890,f412,f579])).
% 58.52/7.75 fof(f1905,plain,(
% 58.52/7.75 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(implies(X2,X0),implies(X2,X1)))|~spl0_113)),
% 58.52/7.75 inference(resolution,[status(thm)],[f1891,f5])).
% 58.52/7.75 fof(f1947,plain,(
% 58.52/7.75 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(X2,X0))|is_a_theorem(implies(X2,X1))|~spl0_113)),
% 58.52/7.75 inference(resolution,[status(thm)],[f1905,f5])).
% 58.52/7.75 fof(f1956,plain,(
% 58.52/7.75 ![X0]: (~is_a_theorem(implies(X0,implies(implies(a,b),b)))|~is_a_theorem(implies(a,X0))|~spl0_113)),
% 58.52/7.75 inference(resolution,[status(thm)],[f1947,f7])).
% 58.52/7.75 fof(f1970,plain,(
% 58.52/7.75 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(X2,X0))|~is_a_theorem(X2)|is_a_theorem(X1)|~spl0_113)),
% 58.52/7.75 inference(resolution,[status(thm)],[f1947,f5])).
% 58.52/7.75 fof(f3631,plain,(
% 58.52/7.75 ![X0]: (~is_a_theorem(implies(a,implies(implies(a,b),X0)))|~is_a_theorem(implies(X0,b))|~spl0_113)),
% 58.52/7.75 inference(resolution,[status(thm)],[f1956,f1905])).
% 58.52/7.75 fof(f3787,plain,(
% 58.52/7.75 spl0_276 <=> ~is_a_theorem(implies(implies(X0,X1),X0))|is_a_theorem(implies(implies(X3,X0),X0))),
% 58.52/7.75 introduced(split_symbol_definition)).
% 58.52/7.75 fof(f3788,plain,(
% 58.52/7.75 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,X1),X0))|is_a_theorem(implies(implies(X2,X0),X0))|~spl0_276)),
% 58.52/7.75 inference(component_clause,[status(thm)],[f3787])).
% 58.52/7.75 fof(f3807,plain,(
% 58.52/7.75 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(X0,X1),X0))|~is_a_theorem(X2)|is_a_theorem(implies(implies(X3,X0),X0))|~spl0_30)),
% 58.52/7.75 inference(resolution,[status(thm)],[f1166,f5])).
% 58.52/7.75 fof(f3808,plain,(
% 58.52/7.75 spl0_276|spl0_0|~spl0_30),
% 58.52/7.75 inference(split_clause,[status(thm)],[f3807,f3787,f23,f422])).
% 58.52/7.75 fof(f3885,plain,(
% 58.52/7.75 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,X1),X0))|~is_a_theorem(implies(X2,X0))|is_a_theorem(X0)|~spl0_276)),
% 58.52/7.75 inference(resolution,[status(thm)],[f3788,f5])).
% 58.52/7.75 fof(f5069,plain,(
% 58.52/7.75 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(X0,X1),implies(X2,implies(X3,implies(X1,X1)))))|~spl0_28|~spl0_44|~spl0_20|~spl0_7)),
% 58.52/7.75 inference(resolution,[status(thm)],[f1881,f292])).
% 58.52/7.75 fof(f5083,plain,(
% 58.52/7.75 ![X0,X1,X2,X3]: (is_a_theorem(implies(X0,implies(X1,implies(X2,implies(X3,X3)))))|~spl0_28|~spl0_44|~spl0_20|~spl0_7)),
% 58.52/7.75 inference(resolution,[status(thm)],[f5069,f292])).
% 58.52/7.75 fof(f5107,plain,(
% 58.52/7.75 ![X0,X1,X2,X3]: (~is_a_theorem(implies(X0,implies(X1,implies(X2,implies(X3,X3)))))|is_a_theorem(implies(X1,implies(X2,implies(X3,X3))))|~spl0_28|~spl0_44|~spl0_20|~spl0_7|~spl0_276)),
% 58.52/7.75 inference(resolution,[status(thm)],[f5083,f3885])).
% 58.52/7.75 fof(f5108,plain,(
% 58.52/7.75 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(X1,implies(X2,X2))))|~spl0_28|~spl0_44|~spl0_20|~spl0_7|~spl0_276)),
% 58.52/7.75 inference(forward_subsumption_resolution,[status(thm)],[f5107,f5083])).
% 58.52/7.75 fof(f5133,plain,(
% 58.52/7.75 ![X0,X1,X2]: (~is_a_theorem(implies(X0,implies(X1,implies(X2,X2))))|is_a_theorem(implies(X1,implies(X2,X2)))|~spl0_28|~spl0_44|~spl0_20|~spl0_7|~spl0_276)),
% 58.52/7.75 inference(resolution,[status(thm)],[f5108,f3885])).
% 58.52/7.75 fof(f5134,plain,(
% 58.52/7.75 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X1)))|~spl0_28|~spl0_44|~spl0_20|~spl0_7|~spl0_276)),
% 58.52/7.75 inference(forward_subsumption_resolution,[status(thm)],[f5133,f5108])).
% 58.52/7.75 fof(f5137,plain,(
% 58.52/7.75 spl0_370 <=> ~is_a_theorem(implies(implies(X0,implies(X1,X1)),X2))|is_a_theorem(X2)),
% 58.52/7.75 introduced(split_symbol_definition)).
% 58.52/7.75 fof(f5138,plain,(
% 58.52/7.75 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,implies(X1,X1)),X2))|is_a_theorem(X2)|~spl0_370)),
% 58.52/7.75 inference(component_clause,[status(thm)],[f5137])).
% 58.52/7.75 fof(f5140,plain,(
% 58.52/7.75 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(X0,implies(X1,X1)),X2))|~is_a_theorem(X3)|is_a_theorem(X2)|~spl0_28|~spl0_44|~spl0_20|~spl0_7|~spl0_276|~spl0_113)),
% 58.52/7.75 inference(resolution,[status(thm)],[f5108,f1970])).
% 58.52/7.75 fof(f5141,plain,(
% 58.52/7.75 spl0_370|spl0_0|~spl0_28|~spl0_44|~spl0_20|~spl0_7|~spl0_276|~spl0_113),
% 58.52/7.75 inference(split_clause,[status(thm)],[f5140,f5137,f23,f412,f579,f285,f110,f3787,f1890])).
% 58.52/7.75 fof(f5158,plain,(
% 58.52/7.75 ![X0,X1]: (~is_a_theorem(implies(X0,implies(X1,X1)))|is_a_theorem(implies(X1,X1))|~spl0_28|~spl0_44|~spl0_20|~spl0_7|~spl0_276)),
% 58.52/7.75 inference(resolution,[status(thm)],[f5134,f3885])).
% 58.52/7.75 fof(f5159,plain,(
% 58.52/7.75 ![X0]: (is_a_theorem(implies(X0,X0))|~spl0_28|~spl0_44|~spl0_20|~spl0_7|~spl0_276)),
% 58.52/7.75 inference(forward_subsumption_resolution,[status(thm)],[f5158,f5134])).
% 58.52/7.75 fof(f5162,plain,(
% 58.52/7.75 spl0_372 <=> ~is_a_theorem(implies(implies(X0,X0),X1))|is_a_theorem(X1)),
% 58.52/7.75 introduced(split_symbol_definition)).
% 58.52/7.75 fof(f5163,plain,(
% 58.52/7.75 ![X0,X1]: (~is_a_theorem(implies(implies(X0,X0),X1))|is_a_theorem(X1)|~spl0_372)),
% 58.52/7.75 inference(component_clause,[status(thm)],[f5162])).
% 58.52/7.75 fof(f5192,plain,(
% 58.52/7.75 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,X1),implies(X2,X0)))|is_a_theorem(implies(X2,X0))|~spl0_28|~spl0_44|~spl0_20|~spl0_7|~spl0_276|~spl0_40)),
% 58.52/7.75 inference(resolution,[status(thm)],[f5159,f489])).
% 58.52/7.75 fof(f5225,plain,(
% 58.52/7.75 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(X1,implies(X2,X1))))|~spl0_372|~spl0_29)),
% 58.52/7.75 inference(resolution,[status(thm)],[f5163,f418])).
% 58.52/7.75 fof(f5229,plain,(
% 58.52/7.75 ![X0,X1]: (is_a_theorem(X0)|~is_a_theorem(implies(implies(X0,X1),X0))|~spl0_372|~spl0_276)),
% 58.52/7.75 inference(resolution,[status(thm)],[f5163,f3788])).
% 58.52/7.75 fof(f5240,plain,(
% 58.52/7.75 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(X0,X0),X1),implies(X2,implies(X3,X1))))|~spl0_372|~spl0_44|~spl0_20|~spl0_7)),
% 58.52/7.75 inference(resolution,[status(thm)],[f5163,f982])).
% 58.52/7.75 fof(f5370,plain,(
% 58.52/7.75 spl0_374 <=> ~is_a_theorem(implies(implies(X0,implies(X1,X0)),X2))|is_a_theorem(X2)),
% 58.52/7.75 introduced(split_symbol_definition)).
% 58.52/7.75 fof(f5371,plain,(
% 58.52/7.75 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,implies(X1,X0)),X2))|is_a_theorem(X2)|~spl0_374)),
% 58.52/7.75 inference(component_clause,[status(thm)],[f5370])).
% 58.52/7.75 fof(f5373,plain,(
% 58.52/7.75 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(X0,implies(X1,X0)),X2))|~is_a_theorem(X3)|is_a_theorem(X2)|~spl0_372|~spl0_29|~spl0_113)),
% 58.52/7.75 inference(resolution,[status(thm)],[f5225,f1970])).
% 58.52/7.75 fof(f5374,plain,(
% 58.52/7.75 spl0_374|spl0_0|~spl0_372|~spl0_29|~spl0_113),
% 58.52/7.75 inference(split_clause,[status(thm)],[f5373,f5370,f23,f5162,f417,f1890])).
% 58.52/7.75 fof(f5520,plain,(
% 58.52/7.75 ![X0,X1,X2]: (is_a_theorem(X0)|~is_a_theorem(implies(X1,X0))|~is_a_theorem(implies(implies(X0,X2),X1))|~spl0_372|~spl0_276|~spl0_113)),
% 58.52/7.75 inference(resolution,[status(thm)],[f5229,f1947])).
% 58.52/7.75 fof(f5525,plain,(
% 58.52/7.75 ![X0,X1,X2]: (is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(implies(X2,X2),X1))|~spl0_370|~spl0_113)),
% 58.52/7.75 inference(resolution,[status(thm)],[f5138,f1905])).
% 58.52/7.75 fof(f5680,plain,(
% 58.52/7.75 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(X0,X1),X0),implies(X2,implies(X3,X0))))|~spl0_374)),
% 58.52/7.75 inference(resolution,[status(thm)],[f5371,f6])).
% 58.52/7.75 fof(f5682,plain,(
% 58.52/7.75 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(X0,implies(X2,X1))))|~spl0_374|~spl0_113)),
% 58.52/7.75 inference(resolution,[status(thm)],[f5371,f1891])).
% 58.52/7.75 fof(f5876,plain,(
% 58.52/7.75 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,X0),X1))|~is_a_theorem(X2)|is_a_theorem(X1)|~spl0_370|~spl0_113)),
% 58.52/7.75 inference(resolution,[status(thm)],[f5525,f5])).
% 58.52/7.75 fof(f5877,plain,(
% 58.52/7.75 spl0_372|spl0_0|~spl0_370|~spl0_113),
% 58.52/7.75 inference(split_clause,[status(thm)],[f5876,f5162,f23,f5137,f1890])).
% 58.52/7.75 fof(f6669,plain,(
% 58.52/7.75 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(X0,implies(X2,X1)))|~spl0_374|~spl0_113)),
% 58.52/7.75 inference(resolution,[status(thm)],[f5682,f5])).
% 58.52/7.75 fof(f7038,plain,(
% 58.52/7.75 ![X0,X1]: (is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1)))|~spl0_28|~spl0_44|~spl0_20|~spl0_7|~spl0_276|~spl0_40|~spl0_113)),
% 58.52/7.75 inference(resolution,[status(thm)],[f5192,f1891])).
% 58.52/7.75 fof(f7184,plain,(
% 58.52/7.75 ![X0,X1,X2]: (is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(implies(X1,X2),X1))|~spl0_28|~spl0_44|~spl0_20|~spl0_7|~spl0_276|~spl0_40|~spl0_374|~spl0_113)),
% 58.52/7.75 inference(resolution,[status(thm)],[f5192,f6669])).
% 58.52/7.75 fof(f7270,plain,(
% 58.52/7.75 ![X0,X1]: (~is_a_theorem(implies(X0,implies(X0,X1)))|is_a_theorem(implies(X0,X1))|~spl0_28|~spl0_44|~spl0_20|~spl0_7|~spl0_276|~spl0_40|~spl0_113)),
% 58.52/7.75 inference(resolution,[status(thm)],[f7038,f5])).
% 58.52/7.75 fof(f7371,plain,(
% 58.52/7.75 spl0_443 <=> ~is_a_theorem(implies(implies(X0,X1),X0))|~is_a_theorem(implies(X0,X2))|is_a_theorem(X2)),
% 58.52/7.75 introduced(split_symbol_definition)).
% 58.52/7.75 fof(f7372,plain,(
% 58.52/7.75 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,X1),X0))|~is_a_theorem(implies(X0,X2))|is_a_theorem(X2)|~spl0_443)),
% 58.52/7.75 inference(component_clause,[status(thm)],[f7371])).
% 58.52/7.75 fof(f7374,plain,(
% 58.52/7.75 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(X0,X1),X0))|~is_a_theorem(implies(X0,X2))|~is_a_theorem(X3)|is_a_theorem(X2)|~spl0_28|~spl0_44|~spl0_20|~spl0_7|~spl0_276|~spl0_40|~spl0_374|~spl0_113)),
% 58.52/7.75 inference(resolution,[status(thm)],[f7184,f1970])).
% 58.52/7.75 fof(f7375,plain,(
% 58.52/7.75 spl0_443|spl0_0|~spl0_28|~spl0_44|~spl0_20|~spl0_7|~spl0_276|~spl0_40|~spl0_374|~spl0_113),
% 58.52/7.75 inference(split_clause,[status(thm)],[f7374,f7371,f23,f412,f579,f285,f110,f3787,f488,f5370,f1890])).
% 58.52/7.75 fof(f7389,plain,(
% 58.52/7.75 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(X2,X1)))|~is_a_theorem(implies(X2,X0))|~spl0_28|~spl0_20|~spl0_7|~spl0_276|~spl0_40|~spl0_113|~spl0_44|~spl0_38)),
% 58.52/7.75 inference(resolution,[status(thm)],[f7270,f1170])).
% 58.52/7.75 fof(f8368,plain,(
% 58.52/7.75 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X0),X1),implies(X2,X1)))|~spl0_372|~spl0_28|~spl0_44|~spl0_20|~spl0_7|~spl0_276|~spl0_40|~spl0_113)),
% 58.52/7.75 inference(resolution,[status(thm)],[f5240,f7270])).
% 58.52/7.75 fof(f8406,plain,(
% 58.52/7.75 ![X0,X1]: (is_a_theorem(implies(implies(implies(X0,X0),X1),X1))|~spl0_372|~spl0_28|~spl0_44|~spl0_20|~spl0_7|~spl0_276|~spl0_40|~spl0_113)),
% 58.52/7.75 inference(resolution,[status(thm)],[f8368,f7270])).
% 58.52/7.75 fof(f9150,plain,(
% 58.52/7.75 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X1),X0),implies(X2,X0)))|~spl0_374|~spl0_28|~spl0_44|~spl0_20|~spl0_7|~spl0_276|~spl0_40|~spl0_113)),
% 58.52/7.75 inference(resolution,[status(thm)],[f5680,f7270])).
% 58.52/7.75 fof(f9187,plain,(
% 58.52/7.75 ![X0,X1]: (is_a_theorem(implies(implies(implies(X0,X1),X0),X0))|~spl0_374|~spl0_28|~spl0_44|~spl0_20|~spl0_7|~spl0_276|~spl0_40|~spl0_113)),
% 58.52/7.75 inference(resolution,[status(thm)],[f9150,f7270])).
% 58.52/7.75 fof(f9254,plain,(
% 58.52/7.75 ![X0,X1,X2]: (is_a_theorem(X0)|~is_a_theorem(implies(implies(X0,X1),implies(implies(X0,X2),X0)))|~spl0_374|~spl0_28|~spl0_44|~spl0_20|~spl0_7|~spl0_40|~spl0_372|~spl0_276|~spl0_113)),
% 58.52/7.75 inference(resolution,[status(thm)],[f9187,f5520])).
% 58.52/7.75 fof(f14456,plain,(
% 58.52/7.75 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X1),X1)))|~spl0_374|~spl0_28|~spl0_44|~spl0_20|~spl0_7|~spl0_40|~spl0_372|~spl0_276|~spl0_113|~spl0_15)),
% 58.52/7.75 inference(resolution,[status(thm)],[f9254,f215])).
% 58.52/7.75 fof(f14641,plain,(
% 58.52/7.75 ![X0,X1,X2]: (~is_a_theorem(implies(implies(implies(implies(X0,X1),X0),X0),X2))|is_a_theorem(X2)|~spl0_374|~spl0_28|~spl0_44|~spl0_20|~spl0_7|~spl0_40|~spl0_372|~spl0_276|~spl0_113|~spl0_15|~spl0_443)),
% 58.52/7.75 inference(resolution,[status(thm)],[f14456,f7372])).
% 58.79/7.79 fof(f19063,plain,(
% 58.79/7.79 ![X0,X1,X2]: (is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(X0,implies(implies(X1,X2),X1)))|~spl0_374|~spl0_372|~spl0_15|~spl0_443|~spl0_28|~spl0_20|~spl0_7|~spl0_276|~spl0_40|~spl0_113|~spl0_44|~spl0_38)),
% 58.79/7.79 inference(resolution,[status(thm)],[f14641,f7389])).
% 58.79/7.79 fof(f20101,plain,(
% 58.79/7.79 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X0),implies(implies(X1,X2),X1)),X1))|~spl0_374|~spl0_15|~spl0_443|~spl0_38|~spl0_372|~spl0_28|~spl0_44|~spl0_20|~spl0_7|~spl0_276|~spl0_40|~spl0_113)),
% 58.79/7.79 inference(resolution,[status(thm)],[f19063,f8406])).
% 58.79/7.79 fof(f20944,plain,(
% 58.79/7.79 ![X0,X1]: (~is_a_theorem(implies(a,implies(implies(a,b),implies(implies(X0,X0),implies(implies(b,X1),b)))))|~spl0_374|~spl0_15|~spl0_443|~spl0_38|~spl0_372|~spl0_28|~spl0_44|~spl0_20|~spl0_7|~spl0_276|~spl0_40|~spl0_113)),
% 58.79/7.79 inference(resolution,[status(thm)],[f20101,f3631])).
% 58.79/7.79 fof(f20945,plain,(
% 58.79/7.79 $false|~spl0_374|~spl0_15|~spl0_443|~spl0_38|~spl0_372|~spl0_28|~spl0_44|~spl0_20|~spl0_7|~spl0_276|~spl0_40|~spl0_113),
% 58.79/7.79 inference(forward_subsumption_resolution,[status(thm)],[f20944,f982])).
% 58.79/7.79 fof(f20946,plain,(
% 58.79/7.79 ~spl0_374|~spl0_15|~spl0_443|~spl0_38|~spl0_372|~spl0_28|~spl0_44|~spl0_20|~spl0_7|~spl0_276|~spl0_40|~spl0_113),
% 58.79/7.79 inference(contradiction_clause,[status(thm)],[f20945])).
% 58.79/7.79 fof(f20947,plain,(
% 58.79/7.79 $false),
% 58.79/7.79 inference(sat_refutation,[status(thm)],[f40,f77,f114,f218,f244,f289,f291,f416,f421,f426,f466,f492,f583,f1894,f3808,f5141,f5374,f5877,f7375,f20946])).
% 58.79/7.79 % SZS output end CNFRefutation for theBenchmark.p
% 59.27/7.85 % Elapsed time: 7.481575 seconds
% 59.27/7.85 % CPU time: 59.154867 seconds
% 59.27/7.85 % Memory used: 599.852 MB
%------------------------------------------------------------------------------