TSTP Solution File: LCL089-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : LCL089-1 : 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 : Wed May 31 12:18:13 EDT 2023
% Result : Unsatisfiable 8.27s 1.42s
% Output : CNFRefutation 8.50s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : LCL089-1 : TPTP v8.1.2. Released v1.0.0.
% 0.09/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n005.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue May 30 09:46:06 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.15/0.32 % Drodi V3.5.1
% 8.27/1.42 % Refutation found
% 8.27/1.42 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 8.27/1.42 % SZS output start CNFRefutation for theBenchmark
% 8.27/1.42 fof(f1,axiom,(
% 8.27/1.42 (![X,Y]: (( ~ is_a_theorem(implies(X,Y))| ~ is_a_theorem(X)| is_a_theorem(Y) ) ))),
% 8.27/1.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.27/1.42 fof(f2,axiom,(
% 8.27/1.42 (![P,Q,R,S,T]: (is_a_theorem(implies(implies(implies(P,Q),implies(R,S)),implies(T,implies(implies(S,P),implies(R,P))))) ))),
% 8.27/1.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.27/1.42 fof(f3,negated_conjecture,(
% 8.27/1.42 ~ is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c)))) ),
% 8.27/1.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.27/1.42 fof(f4,plain,(
% 8.27/1.42 ![Y]: ((![X]: (~is_a_theorem(implies(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 8.27/1.42 inference(miniscoping,[status(esa)],[f1])).
% 8.27/1.42 fof(f5,plain,(
% 8.27/1.42 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 8.27/1.42 inference(cnf_transformation,[status(esa)],[f4])).
% 8.27/1.42 fof(f6,plain,(
% 8.27/1.42 ![X0,X1,X2,X3,X4]: (is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X3)),implies(X4,implies(implies(X3,X0),implies(X2,X0))))))),
% 8.27/1.42 inference(cnf_transformation,[status(esa)],[f2])).
% 8.27/1.42 fof(f7,plain,(
% 8.27/1.42 ~is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c))))),
% 8.27/1.42 inference(cnf_transformation,[status(esa)],[f3])).
% 8.27/1.42 fof(f8,plain,(
% 8.27/1.42 ![X0,X1,X2,X3,X4]: (~is_a_theorem(implies(implies(X0,X1),implies(X2,X3)))|is_a_theorem(implies(X4,implies(implies(X3,X0),implies(X2,X0)))))),
% 8.27/1.42 inference(resolution,[status(thm)],[f6,f5])).
% 8.27/1.42 fof(f9,plain,(
% 8.27/1.42 ![X0,X1,X2,X3,X4,X5]: (is_a_theorem(implies(X0,implies(implies(implies(implies(X1,X2),implies(X3,X2)),implies(X2,X4)),implies(X5,implies(X2,X4))))))),
% 8.27/1.42 inference(resolution,[status(thm)],[f8,f6])).
% 8.27/1.42 fof(f11,plain,(
% 8.27/1.42 spl0_0 <=> ~is_a_theorem(X0)),
% 8.27/1.42 introduced(split_symbol_definition)).
% 8.27/1.42 fof(f12,plain,(
% 8.27/1.42 ![X0]: (~is_a_theorem(X0)|~spl0_0)),
% 8.27/1.42 inference(component_clause,[status(thm)],[f11])).
% 8.27/1.42 fof(f14,plain,(
% 8.27/1.42 spl0_1 <=> is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X3,X2)),implies(X2,X4)),implies(X5,implies(X2,X4))))),
% 8.27/1.42 introduced(split_symbol_definition)).
% 8.27/1.42 fof(f15,plain,(
% 8.27/1.42 ![X0,X1,X2,X3,X4]: (is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),implies(X1,X3)),implies(X4,implies(X1,X3))))|~spl0_1)),
% 8.27/1.42 inference(component_clause,[status(thm)],[f14])).
% 8.27/1.42 fof(f17,plain,(
% 8.27/1.42 ![X0,X1,X2,X3,X4,X5]: (~is_a_theorem(X0)|is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X3,X2)),implies(X2,X4)),implies(X5,implies(X2,X4)))))),
% 8.27/1.42 inference(resolution,[status(thm)],[f9,f5])).
% 8.27/1.42 fof(f18,plain,(
% 8.27/1.42 spl0_0|spl0_1),
% 8.27/1.42 inference(split_clause,[status(thm)],[f17,f11,f14])).
% 8.27/1.42 fof(f205,plain,(
% 8.27/1.42 $false|~spl0_0),
% 8.27/1.42 inference(backward_subsumption_resolution,[status(thm)],[f6,f12])).
% 8.27/1.42 fof(f206,plain,(
% 8.27/1.42 ~spl0_0),
% 8.27/1.42 inference(contradiction_clause,[status(thm)],[f205])).
% 8.27/1.42 fof(f237,plain,(
% 8.27/1.42 ![X0,X1,X2,X3,X4]: (~is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),implies(X1,X3)))|is_a_theorem(implies(X4,implies(X1,X3)))|~spl0_1)),
% 8.27/1.42 inference(resolution,[status(thm)],[f5,f15])).
% 8.27/1.42 fof(f239,plain,(
% 8.27/1.42 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(implies(X1,X2),implies(X2,implies(X1,X2)))))|~spl0_1)),
% 8.27/1.42 inference(resolution,[status(thm)],[f237,f15])).
% 8.27/1.42 fof(f272,plain,(
% 8.27/1.42 ![X0,X1,X2,X3]: (is_a_theorem(implies(X0,implies(X1,implies(implies(X1,X2),implies(X3,X2)))))|~spl0_1)),
% 8.27/1.42 inference(resolution,[status(thm)],[f6,f237])).
% 8.27/1.42 fof(f345,plain,(
% 8.27/1.42 spl0_33 <=> is_a_theorem(implies(implies(X1,X2),implies(X2,implies(X1,X2))))),
% 8.27/1.42 introduced(split_symbol_definition)).
% 8.27/1.42 fof(f346,plain,(
% 8.27/1.42 ![X0,X1]: (is_a_theorem(implies(implies(X0,X1),implies(X1,implies(X0,X1))))|~spl0_33)),
% 8.27/1.42 inference(component_clause,[status(thm)],[f345])).
% 8.27/1.42 fof(f348,plain,(
% 8.27/1.42 ![X0,X1,X2]: (~is_a_theorem(X0)|is_a_theorem(implies(implies(X1,X2),implies(X2,implies(X1,X2))))|~spl0_1)),
% 8.27/1.42 inference(resolution,[status(thm)],[f239,f5])).
% 8.27/1.42 fof(f349,plain,(
% 8.27/1.42 spl0_0|spl0_33|~spl0_1),
% 8.27/1.42 inference(split_clause,[status(thm)],[f348,f11,f345,f14])).
% 8.27/1.42 fof(f350,plain,(
% 8.27/1.42 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X1),implies(X2,X1))))|~spl0_33)),
% 8.27/1.43 inference(resolution,[status(thm)],[f346,f8])).
% 8.27/1.43 fof(f407,plain,(
% 8.27/1.43 spl0_34 <=> is_a_theorem(implies(X1,implies(implies(X1,X2),implies(X3,X2))))),
% 8.27/1.43 introduced(split_symbol_definition)).
% 8.27/1.43 fof(f408,plain,(
% 8.27/1.43 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(implies(X0,X1),implies(X2,X1))))|~spl0_34)),
% 8.27/1.43 inference(component_clause,[status(thm)],[f407])).
% 8.27/1.43 fof(f410,plain,(
% 8.27/1.43 ![X0,X1,X2,X3]: (~is_a_theorem(X0)|is_a_theorem(implies(X1,implies(implies(X1,X2),implies(X3,X2))))|~spl0_1)),
% 8.27/1.43 inference(resolution,[status(thm)],[f272,f5])).
% 8.27/1.43 fof(f411,plain,(
% 8.27/1.43 spl0_0|spl0_34|~spl0_1),
% 8.27/1.43 inference(split_clause,[status(thm)],[f410,f11,f407,f14])).
% 8.27/1.43 fof(f413,plain,(
% 8.27/1.43 ![X0,X1,X2]: (~is_a_theorem(X0)|is_a_theorem(implies(implies(X0,X1),implies(X2,X1)))|~spl0_34)),
% 8.27/1.43 inference(resolution,[status(thm)],[f408,f5])).
% 8.27/1.43 fof(f480,plain,(
% 8.27/1.43 spl0_36 <=> is_a_theorem(implies(implies(implies(X1,X2),X1),implies(X2,X1)))),
% 8.27/1.43 introduced(split_symbol_definition)).
% 8.27/1.43 fof(f481,plain,(
% 8.27/1.43 ![X0,X1]: (is_a_theorem(implies(implies(implies(X0,X1),X0),implies(X1,X0)))|~spl0_36)),
% 8.27/1.43 inference(component_clause,[status(thm)],[f480])).
% 8.27/1.43 fof(f483,plain,(
% 8.27/1.43 ![X0,X1,X2]: (~is_a_theorem(X0)|is_a_theorem(implies(implies(implies(X1,X2),X1),implies(X2,X1)))|~spl0_33)),
% 8.27/1.43 inference(resolution,[status(thm)],[f350,f5])).
% 8.27/1.43 fof(f484,plain,(
% 8.27/1.43 spl0_0|spl0_36|~spl0_33),
% 8.27/1.43 inference(split_clause,[status(thm)],[f483,f11,f480,f345])).
% 8.27/1.43 fof(f486,plain,(
% 8.27/1.43 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(X1,implies(X2,X1))))|~spl0_36|~spl0_1)),
% 8.27/1.43 inference(resolution,[status(thm)],[f481,f237])).
% 8.27/1.43 fof(f492,plain,(
% 8.27/1.43 ![X0,X1,X2,X3]: (is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X3),implies(X2,X3))))|~spl0_36|~spl0_1)),
% 8.27/1.43 inference(resolution,[status(thm)],[f486,f8])).
% 8.27/1.43 fof(f494,plain,(
% 8.27/1.43 spl0_37 <=> is_a_theorem(implies(X1,implies(X2,X1)))),
% 8.27/1.43 introduced(split_symbol_definition)).
% 8.27/1.43 fof(f495,plain,(
% 8.27/1.43 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X0)))|~spl0_37)),
% 8.27/1.43 inference(component_clause,[status(thm)],[f494])).
% 8.27/1.43 fof(f497,plain,(
% 8.27/1.43 ![X0,X1,X2]: (~is_a_theorem(X0)|is_a_theorem(implies(X1,implies(X2,X1)))|~spl0_36|~spl0_1)),
% 8.27/1.44 inference(resolution,[status(thm)],[f486,f5])).
% 8.27/1.44 fof(f498,plain,(
% 8.27/1.44 spl0_0|spl0_37|~spl0_36|~spl0_1),
% 8.27/1.44 inference(split_clause,[status(thm)],[f497,f11,f494,f480,f14])).
% 8.27/1.44 fof(f501,plain,(
% 8.27/1.44 ![X0,X1,X2,X3]: (is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X1),implies(X3,X1))))|~spl0_37)),
% 8.27/1.44 inference(resolution,[status(thm)],[f495,f8])).
% 8.27/1.44 fof(f503,plain,(
% 8.27/1.44 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(X0,implies(X1,X0)),X2),implies(X3,X2)))|~spl0_37|~spl0_34)),
% 8.27/1.44 inference(resolution,[status(thm)],[f495,f413])).
% 8.27/1.44 fof(f593,plain,(
% 8.27/1.44 spl0_39 <=> is_a_theorem(implies(implies(implies(X1,X2),X3),implies(X2,X3)))),
% 8.27/1.44 introduced(split_symbol_definition)).
% 8.27/1.44 fof(f594,plain,(
% 8.27/1.44 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2)))|~spl0_39)),
% 8.27/1.44 inference(component_clause,[status(thm)],[f593])).
% 8.27/1.44 fof(f596,plain,(
% 8.27/1.44 ![X0,X1,X2,X3]: (~is_a_theorem(X0)|is_a_theorem(implies(implies(implies(X1,X2),X3),implies(X2,X3)))|~spl0_36|~spl0_1)),
% 8.27/1.44 inference(resolution,[status(thm)],[f492,f5])).
% 8.27/1.44 fof(f597,plain,(
% 8.27/1.44 spl0_0|spl0_39|~spl0_36|~spl0_1),
% 8.27/1.44 inference(split_clause,[status(thm)],[f596,f11,f593,f480,f14])).
% 8.27/1.44 fof(f600,plain,(
% 8.27/1.44 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,X1),X2))|is_a_theorem(implies(X1,X2))|~spl0_39)),
% 8.27/1.44 inference(resolution,[status(thm)],[f594,f5])).
% 8.27/1.44 fof(f639,plain,(
% 8.27/1.44 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(X0,X1),implies(X2,implies(implies(X1,X3),implies(X0,X3)))))|~spl0_39)),
% 8.27/1.44 inference(resolution,[status(thm)],[f600,f6])).
% 8.27/1.44 fof(f664,plain,(
% 8.27/1.44 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(X1,implies(X2,X0))))|~spl0_39|~spl0_37)),
% 8.27/1.44 inference(resolution,[status(thm)],[f600,f495])).
% 8.27/1.44 fof(f667,plain,(
% 8.27/1.44 ![X0,X1,X2,X3,X4]: (is_a_theorem(implies(X0,implies(implies(implies(X1,implies(X2,X3)),X2),implies(X4,X2))))|~spl0_39|~spl0_37)),
% 8.27/1.44 inference(resolution,[status(thm)],[f664,f8])).
% 8.27/1.44 fof(f817,plain,(
% 8.27/1.44 spl0_42 <=> is_a_theorem(implies(implies(implies(X1,X2),X1),implies(X3,X1)))),
% 8.27/1.44 introduced(split_symbol_definition)).
% 8.27/1.44 fof(f818,plain,(
% 8.27/1.44 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X1),X0),implies(X2,X0)))|~spl0_42)),
% 8.27/1.44 inference(component_clause,[status(thm)],[f817])).
% 8.27/1.44 fof(f820,plain,(
% 8.27/1.44 ![X0,X1,X2,X3]: (~is_a_theorem(X0)|is_a_theorem(implies(implies(implies(X1,X2),X1),implies(X3,X1)))|~spl0_37)),
% 8.27/1.44 inference(resolution,[status(thm)],[f501,f5])).
% 8.27/1.44 fof(f821,plain,(
% 8.27/1.44 spl0_0|spl0_42|~spl0_37),
% 8.27/1.44 inference(split_clause,[status(thm)],[f820,f11,f817,f494])).
% 8.27/1.44 fof(f826,plain,(
% 8.27/1.44 ![X0,X1,X2,X3]: (is_a_theorem(implies(X0,implies(implies(X1,implies(X1,X2)),implies(X3,implies(X1,X2)))))|~spl0_42)),
% 8.27/1.44 inference(resolution,[status(thm)],[f818,f8])).
% 8.27/1.44 fof(f827,plain,(
% 8.27/1.44 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,X1),X0))|is_a_theorem(implies(X2,X0))|~spl0_42)),
% 8.27/1.44 inference(resolution,[status(thm)],[f818,f5])).
% 8.27/1.44 fof(f864,plain,(
% 8.27/1.44 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X1)))|~spl0_42)),
% 8.27/1.44 inference(resolution,[status(thm)],[f827,f818])).
% 8.27/1.44 fof(f896,plain,(
% 8.27/1.44 spl0_43 <=> is_a_theorem(implies(X1,X1))),
% 8.27/1.44 introduced(split_symbol_definition)).
% 8.27/1.44 fof(f897,plain,(
% 8.27/1.44 ![X0]: (is_a_theorem(implies(X0,X0))|~spl0_43)),
% 8.27/1.44 inference(component_clause,[status(thm)],[f896])).
% 8.27/1.44 fof(f899,plain,(
% 8.27/1.44 ![X0,X1]: (~is_a_theorem(X0)|is_a_theorem(implies(X1,X1))|~spl0_42)),
% 8.27/1.44 inference(resolution,[status(thm)],[f864,f5])).
% 8.27/1.44 fof(f900,plain,(
% 8.27/1.44 spl0_0|spl0_43|~spl0_42),
% 8.27/1.44 inference(split_clause,[status(thm)],[f899,f11,f896,f817])).
% 8.27/1.44 fof(f904,plain,(
% 8.27/1.44 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(X0,implies(X1,X1)),X2),implies(X3,X2)))|~spl0_42|~spl0_34)),
% 8.27/1.44 inference(resolution,[status(thm)],[f864,f413])).
% 8.27/1.44 fof(f908,plain,(
% 8.27/1.44 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X0),X1),implies(X2,X1)))|~spl0_43|~spl0_34)),
% 8.27/1.44 inference(resolution,[status(thm)],[f897,f413])).
% 8.27/1.44 fof(f2900,plain,(
% 8.27/1.44 spl0_101 <=> is_a_theorem(implies(implies(implies(X1,implies(X2,X3)),X2),implies(X4,X2)))),
% 8.27/1.44 introduced(split_symbol_definition)).
% 8.27/1.44 fof(f2901,plain,(
% 8.27/1.44 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(X0,implies(X1,X2)),X1),implies(X3,X1)))|~spl0_101)),
% 8.27/1.44 inference(component_clause,[status(thm)],[f2900])).
% 8.27/1.44 fof(f2903,plain,(
% 8.27/1.44 ![X0,X1,X2,X3,X4]: (~is_a_theorem(X0)|is_a_theorem(implies(implies(implies(X1,implies(X2,X3)),X2),implies(X4,X2)))|~spl0_39|~spl0_37)),
% 8.27/1.44 inference(resolution,[status(thm)],[f667,f5])).
% 8.27/1.44 fof(f2904,plain,(
% 8.27/1.44 spl0_0|spl0_101|~spl0_39|~spl0_37),
% 8.27/1.44 inference(split_clause,[status(thm)],[f2903,f11,f2900,f593,f494])).
% 8.27/1.44 fof(f3506,plain,(
% 8.27/1.44 spl0_107 <=> is_a_theorem(implies(implies(X1,implies(X1,X2)),implies(X3,implies(X1,X2))))),
% 8.27/1.44 introduced(split_symbol_definition)).
% 8.27/1.44 fof(f3507,plain,(
% 8.27/1.44 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X2,implies(X0,X1))))|~spl0_107)),
% 8.27/1.44 inference(component_clause,[status(thm)],[f3506])).
% 8.27/1.44 fof(f3509,plain,(
% 8.27/1.44 ![X0,X1,X2,X3]: (~is_a_theorem(X0)|is_a_theorem(implies(implies(X1,implies(X1,X2)),implies(X3,implies(X1,X2))))|~spl0_42)),
% 8.27/1.44 inference(resolution,[status(thm)],[f826,f5])).
% 8.27/1.44 fof(f3510,plain,(
% 8.27/1.44 spl0_0|spl0_107|~spl0_42),
% 8.27/1.44 inference(split_clause,[status(thm)],[f3509,f11,f3506,f817])).
% 8.27/1.44 fof(f3520,plain,(
% 8.27/1.44 ![X0,X1,X2]: (~is_a_theorem(implies(X0,implies(X0,X1)))|is_a_theorem(implies(X2,implies(X0,X1)))|~spl0_107)),
% 8.27/1.44 inference(resolution,[status(thm)],[f3507,f5])).
% 8.27/1.44 fof(f3547,plain,(
% 8.27/1.44 ![X0,X1,X2,X3]: (is_a_theorem(implies(X0,implies(implies(implies(X1,implies(X2,X3)),X2),X2)))|~spl0_107|~spl0_101)),
% 8.27/1.44 inference(resolution,[status(thm)],[f3520,f2901])).
% 8.27/1.44 fof(f3548,plain,(
% 8.27/1.44 ![X0,X1,X2,X3]: (is_a_theorem(implies(X0,implies(implies(implies(X1,implies(X2,X2)),X3),X3)))|~spl0_107|~spl0_42|~spl0_34)),
% 8.27/1.44 inference(resolution,[status(thm)],[f3520,f904])).
% 8.27/1.44 fof(f3549,plain,(
% 8.27/1.44 ![X0,X1,X2,X3]: (is_a_theorem(implies(X0,implies(implies(implies(X1,implies(X2,X1)),X3),X3)))|~spl0_107|~spl0_37|~spl0_34)),
% 8.27/1.44 inference(resolution,[status(thm)],[f3520,f503])).
% 8.27/1.44 fof(f3552,plain,(
% 8.27/1.44 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(implies(implies(X1,X1),X2),X2)))|~spl0_107|~spl0_43|~spl0_34)),
% 8.27/1.44 inference(resolution,[status(thm)],[f3520,f908])).
% 8.27/1.44 fof(f3553,plain,(
% 8.27/1.44 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X1),X1)))|~spl0_107|~spl0_42)),
% 8.50/1.47 inference(resolution,[status(thm)],[f3520,f818])).
% 8.50/1.47 fof(f3554,plain,(
% 8.50/1.47 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(implies(X1,implies(X1,X2)),implies(X1,X2))))|~spl0_107)),
% 8.50/1.47 inference(resolution,[status(thm)],[f3520,f3507])).
% 8.50/1.47 fof(f3675,plain,(
% 8.50/1.47 spl0_108 <=> is_a_theorem(implies(implies(implies(X1,X1),X2),X2))),
% 8.50/1.47 introduced(split_symbol_definition)).
% 8.50/1.47 fof(f3676,plain,(
% 8.50/1.47 ![X0,X1]: (is_a_theorem(implies(implies(implies(X0,X0),X1),X1))|~spl0_108)),
% 8.50/1.47 inference(component_clause,[status(thm)],[f3675])).
% 8.50/1.47 fof(f3678,plain,(
% 8.50/1.47 ![X0,X1,X2]: (~is_a_theorem(X0)|is_a_theorem(implies(implies(implies(X1,X1),X2),X2))|~spl0_107|~spl0_43|~spl0_34)),
% 8.50/1.47 inference(resolution,[status(thm)],[f3552,f5])).
% 8.50/1.47 fof(f3679,plain,(
% 8.50/1.47 spl0_0|spl0_108|~spl0_107|~spl0_43|~spl0_34),
% 8.50/1.47 inference(split_clause,[status(thm)],[f3678,f11,f3675,f3506,f896,f407])).
% 8.50/1.47 fof(f3691,plain,(
% 8.50/1.47 ![X0,X1]: (~is_a_theorem(implies(implies(X0,X0),X1))|is_a_theorem(X1)|~spl0_108)),
% 8.50/1.47 inference(resolution,[status(thm)],[f3676,f5])).
% 8.50/1.47 fof(f4814,plain,(
% 8.50/1.47 ![X0,X1]: (is_a_theorem(implies(implies(implies(X0,X1),X0),X0))|~spl0_107|~spl0_42|~spl0_108)),
% 8.50/1.47 inference(resolution,[status(thm)],[f3553,f3691])).
% 8.50/1.47 fof(f4837,plain,(
% 8.50/1.47 ![X0,X1]: (~is_a_theorem(implies(implies(X0,X1),X0))|is_a_theorem(X0)|~spl0_107|~spl0_42|~spl0_108)),
% 8.50/1.47 inference(resolution,[status(thm)],[f4814,f5])).
% 8.50/1.47 fof(f5009,plain,(
% 8.50/1.47 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,implies(X1,X2)),X1),X1))|~spl0_101|~spl0_107|~spl0_42|~spl0_108)),
% 8.50/1.47 inference(resolution,[status(thm)],[f3547,f4837])).
% 8.50/1.47 fof(f5032,plain,(
% 8.50/1.47 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,implies(X1,X2)),X1))|is_a_theorem(X1)|~spl0_101|~spl0_107|~spl0_42|~spl0_108)),
% 8.50/1.47 inference(resolution,[status(thm)],[f5009,f5])).
% 8.50/1.47 fof(f5147,plain,(
% 8.50/1.47 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,implies(X1,X1)),X2),X2))|~spl0_34|~spl0_101|~spl0_107|~spl0_42|~spl0_108)),
% 8.50/1.47 inference(resolution,[status(thm)],[f3548,f5032])).
% 8.50/1.47 fof(f5178,plain,(
% 8.50/1.47 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,implies(X1,X1)),X2))|is_a_theorem(X2)|~spl0_34|~spl0_101|~spl0_107|~spl0_42|~spl0_108)),
% 8.50/1.47 inference(resolution,[status(thm)],[f5147,f5])).
% 8.50/1.47 fof(f5365,plain,(
% 8.50/1.47 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,implies(X1,X0)),X2),X2))|~spl0_37|~spl0_34|~spl0_101|~spl0_107|~spl0_42|~spl0_108)),
% 8.50/1.47 inference(resolution,[status(thm)],[f3549,f5178])).
% 8.50/1.47 fof(f5399,plain,(
% 8.50/1.47 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,implies(X1,X0)),X2))|is_a_theorem(X2)|~spl0_37|~spl0_34|~spl0_101|~spl0_107|~spl0_42|~spl0_108)),
% 8.50/1.47 inference(resolution,[status(thm)],[f5365,f5])).
% 8.50/1.47 fof(f5564,plain,(
% 8.50/1.47 ![X0,X1]: (is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1)))|~spl0_37|~spl0_34|~spl0_101|~spl0_107|~spl0_42|~spl0_108)),
% 8.50/1.47 inference(resolution,[status(thm)],[f3554,f5399])).
% 8.50/1.47 fof(f5598,plain,(
% 8.50/1.47 ![X0,X1]: (~is_a_theorem(implies(X0,implies(X0,X1)))|is_a_theorem(implies(X0,X1))|~spl0_37|~spl0_34|~spl0_101|~spl0_107|~spl0_42|~spl0_108)),
% 8.50/1.47 inference(resolution,[status(thm)],[f5564,f5])).
% 8.50/1.47 fof(f6843,plain,(
% 8.50/1.47 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))))|~spl0_37|~spl0_34|~spl0_101|~spl0_107|~spl0_42|~spl0_108|~spl0_39)),
% 8.50/1.47 inference(resolution,[status(thm)],[f5598,f639])).
% 8.50/1.47 fof(f7133,plain,(
% 8.50/1.47 $false|~spl0_37|~spl0_34|~spl0_101|~spl0_107|~spl0_42|~spl0_108|~spl0_39),
% 8.50/1.47 inference(backward_subsumption_resolution,[status(thm)],[f7,f6843])).
% 8.50/1.47 fof(f7134,plain,(
% 8.50/1.47 ~spl0_37|~spl0_34|~spl0_101|~spl0_107|~spl0_42|~spl0_108|~spl0_39),
% 8.50/1.47 inference(contradiction_clause,[status(thm)],[f7133])).
% 8.50/1.47 fof(f7135,plain,(
% 8.50/1.47 $false),
% 8.50/1.47 inference(sat_refutation,[status(thm)],[f18,f206,f349,f411,f484,f498,f597,f821,f900,f2904,f3510,f3679,f7134])).
% 8.50/1.47 % SZS output end CNFRefutation for theBenchmark.p
% 8.50/1.48 % Elapsed time: 1.152643 seconds
% 8.50/1.48 % CPU time: 8.556779 seconds
% 8.50/1.48 % Memory used: 199.189 MB
%------------------------------------------------------------------------------