TSTP Solution File: LCL083-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : LCL083-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n003.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 12:18:12 EDT 2023
% Result : Unsatisfiable 0.13s 0.38s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL083-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n003.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue May 30 09:46:38 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.5.1
% 0.13/0.38 % Refutation found
% 0.13/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.38 fof(f1,axiom,(
% 0.13/0.38 (![X,Y]: (( ~ is_a_theorem(implies(X,Y))| ~ is_a_theorem(X)| is_a_theorem(Y) ) ))),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f2,axiom,(
% 0.13/0.38 (![X,Y,Z,U]: (is_a_theorem(implies(implies(implies(X,Y),Z),implies(implies(Z,X),implies(U,X)))) ))),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f3,negated_conjecture,(
% 0.13/0.38 ~ is_a_theorem(implies(implies(implies(a,b),a),a)) ),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f4,plain,(
% 0.13/0.38 ![Y]: ((![X]: (~is_a_theorem(implies(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 0.13/0.38 inference(miniscoping,[status(esa)],[f1])).
% 0.13/0.38 fof(f5,plain,(
% 0.13/0.38 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 0.13/0.38 inference(cnf_transformation,[status(esa)],[f4])).
% 0.13/0.38 fof(f6,plain,(
% 0.13/0.38 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(X2,X0),implies(X3,X0)))))),
% 0.13/0.38 inference(cnf_transformation,[status(esa)],[f2])).
% 0.13/0.38 fof(f7,plain,(
% 0.13/0.38 ~is_a_theorem(implies(implies(implies(a,b),a),a))),
% 0.13/0.38 inference(cnf_transformation,[status(esa)],[f3])).
% 0.13/0.38 fof(f8,plain,(
% 0.13/0.38 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(X0,X1),X2))|is_a_theorem(implies(implies(X2,X0),implies(X3,X0))))),
% 0.13/0.38 inference(resolution,[status(thm)],[f6,f5])).
% 0.13/0.38 fof(f9,plain,(
% 0.13/0.38 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(X0,X1),X2))|~is_a_theorem(implies(X2,X0))|is_a_theorem(implies(X3,X0)))),
% 0.13/0.38 inference(resolution,[status(thm)],[f8,f5])).
% 0.13/0.38 fof(f11,plain,(
% 0.13/0.38 spl0_0 <=> ~is_a_theorem(implies(implies(X0,X1),X2))|~is_a_theorem(implies(X2,X0))|is_a_theorem(X0)),
% 0.13/0.38 introduced(split_symbol_definition)).
% 0.13/0.38 fof(f12,plain,(
% 0.13/0.38 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,X1),X2))|~is_a_theorem(implies(X2,X0))|is_a_theorem(X0)|~spl0_0)),
% 0.13/0.38 inference(component_clause,[status(thm)],[f11])).
% 0.13/0.38 fof(f14,plain,(
% 0.13/0.38 spl0_1 <=> ~is_a_theorem(X3)),
% 0.13/0.38 introduced(split_symbol_definition)).
% 0.13/0.38 fof(f15,plain,(
% 0.13/0.38 ![X0]: (~is_a_theorem(X0)|~spl0_1)),
% 0.13/0.38 inference(component_clause,[status(thm)],[f14])).
% 0.13/0.38 fof(f17,plain,(
% 0.13/0.38 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(X0,X1),X2))|~is_a_theorem(implies(X2,X0))|~is_a_theorem(X3)|is_a_theorem(X0))),
% 0.13/0.38 inference(resolution,[status(thm)],[f9,f5])).
% 0.13/0.38 fof(f18,plain,(
% 0.13/0.38 spl0_0|spl0_1),
% 0.13/0.38 inference(split_clause,[status(thm)],[f17,f11,f14])).
% 0.13/0.38 fof(f99,plain,(
% 0.13/0.38 ![X0,X1,X2,X3,X4]: (~is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(implies(X1,X4),X0)))|is_a_theorem(implies(implies(X0,X1),implies(X2,X1)))|~spl0_0)),
% 0.13/0.38 inference(resolution,[status(thm)],[f12,f6])).
% 0.13/0.38 fof(f100,plain,(
% 0.13/0.38 ![X0,X1,X2,X3,X4]: (~is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X3,X1)))|is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(implies(X1,X4),X3))|~spl0_0)),
% 0.13/0.38 inference(resolution,[status(thm)],[f12,f8])).
% 0.13/0.38 fof(f102,plain,(
% 0.13/0.38 ![X0,X1,X2,X3,X4,X5]: (~is_a_theorem(implies(implies(implies(X0,implies(X1,X2)),X3),implies(implies(implies(X4,X1),implies(X5,X1)),implies(X1,X2))))|is_a_theorem(implies(X0,implies(X1,X2)))|~spl0_0)),
% 0.13/0.38 inference(resolution,[status(thm)],[f100,f6])).
% 0.13/0.38 fof(f108,plain,(
% 0.13/0.38 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(X0,X1),implies(X2,X1)))|~is_a_theorem(implies(implies(X0,X3),implies(implies(X0,X1),implies(X2,X1))))|~spl0_0)),
% 0.13/0.38 inference(resolution,[status(thm)],[f99,f8])).
% 0.13/0.38 fof(f111,plain,(
% 0.13/0.38 ![X0,X1,X2,X3]: (is_a_theorem(implies(X0,implies(X1,X2)))|~is_a_theorem(implies(implies(implies(X1,X2),X3),implies(X0,implies(X1,X2))))|~spl0_0)),
% 0.13/0.38 inference(resolution,[status(thm)],[f102,f8])).
% 0.13/0.38 fof(f119,plain,(
% 0.13/0.38 ![X0,X1]: (is_a_theorem(implies(implies(X0,X1),implies(X1,X1)))|~spl0_0)),
% 0.13/0.38 inference(resolution,[status(thm)],[f111,f6])).
% 0.13/0.38 fof(f122,plain,(
% 0.13/0.38 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X1),X0),implies(X2,X0)))|~spl0_0)),
% 0.13/0.38 inference(resolution,[status(thm)],[f119,f99])).
% 0.13/0.38 fof(f143,plain,(
% 0.13/0.38 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,X1),X0))|is_a_theorem(implies(X2,X0))|~spl0_0)),
% 0.13/0.38 inference(resolution,[status(thm)],[f122,f5])).
% 0.13/0.38 fof(f153,plain,(
% 0.13/0.38 spl0_4 <=> ~is_a_theorem(implies(implies(X0,X1),X0))|is_a_theorem(X0)),
% 0.13/0.38 introduced(split_symbol_definition)).
% 0.13/0.38 fof(f154,plain,(
% 0.13/0.38 ![X0,X1]: (~is_a_theorem(implies(implies(X0,X1),X0))|is_a_theorem(X0)|~spl0_4)),
% 0.13/0.38 inference(component_clause,[status(thm)],[f153])).
% 0.13/0.38 fof(f156,plain,(
% 0.13/0.38 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,X1),X0))|~is_a_theorem(X2)|is_a_theorem(X0)|~spl0_0)),
% 0.13/0.38 inference(resolution,[status(thm)],[f143,f5])).
% 0.13/0.38 fof(f157,plain,(
% 0.13/0.38 spl0_4|spl0_1|~spl0_0),
% 0.13/0.38 inference(split_clause,[status(thm)],[f156,f153,f14,f11])).
% 0.13/0.38 fof(f158,plain,(
% 0.13/0.38 $false|~spl0_1),
% 0.13/0.38 inference(backward_subsumption_resolution,[status(thm)],[f6,f15])).
% 0.13/0.38 fof(f159,plain,(
% 0.13/0.38 ~spl0_1),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f158])).
% 0.13/0.38 fof(f233,plain,(
% 0.13/0.38 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,X1),implies(X2,X0)))|is_a_theorem(implies(X2,X0))|~spl0_4)),
% 0.13/0.38 inference(resolution,[status(thm)],[f8,f154])).
% 0.13/0.38 fof(f259,plain,(
% 0.13/0.38 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(implies(X0,X1),X2),X1),implies(X0,X1)))|~spl0_0)),
% 0.13/0.38 inference(resolution,[status(thm)],[f108,f122])).
% 0.13/0.38 fof(f286,plain,(
% 0.13/0.38 ![X0,X1,X2]: (~is_a_theorem(implies(implies(implies(X0,X1),X2),X1))|is_a_theorem(implies(X0,X1))|~spl0_0)),
% 0.13/0.38 inference(resolution,[status(thm)],[f259,f5])).
% 0.13/0.38 fof(f290,plain,(
% 0.13/0.38 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(implies(X1,X0),implies(X2,X0))))|~spl0_0)),
% 0.13/0.38 inference(resolution,[status(thm)],[f286,f6])).
% 0.13/0.38 fof(f317,plain,(
% 0.13/0.38 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X2,implies(X0,X1))))|~spl0_0)),
% 0.13/0.38 inference(resolution,[status(thm)],[f290,f108])).
% 0.13/0.38 fof(f414,plain,(
% 0.13/0.38 ![X0,X1,X2]: (~is_a_theorem(implies(X0,implies(X0,X1)))|is_a_theorem(implies(X2,implies(X0,X1)))|~spl0_0)),
% 0.13/0.38 inference(resolution,[status(thm)],[f317,f5])).
% 0.13/0.38 fof(f421,plain,(
% 0.13/0.38 ![X0,X1]: (~is_a_theorem(implies(X0,implies(X0,X1)))|is_a_theorem(implies(X0,X1))|~spl0_0|~spl0_4)),
% 0.13/0.38 inference(resolution,[status(thm)],[f414,f233])).
% 0.13/0.38 fof(f437,plain,(
% 0.13/0.38 ![X0,X1]: (is_a_theorem(implies(implies(implies(X0,X1),X0),X0))|~spl0_4|~spl0_0)),
% 0.13/0.38 inference(resolution,[status(thm)],[f421,f122])).
% 0.13/0.38 fof(f539,plain,(
% 0.13/0.38 $false|~spl0_4|~spl0_0),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f7,f437])).
% 0.13/0.38 fof(f540,plain,(
% 0.13/0.38 ~spl0_4|~spl0_0),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f539])).
% 0.13/0.38 fof(f541,plain,(
% 0.13/0.38 $false),
% 0.13/0.38 inference(sat_refutation,[status(thm)],[f18,f157,f159,f540])).
% 0.13/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.40 % Elapsed time: 0.045893 seconds
% 0.13/0.40 % CPU time: 0.228773 seconds
% 0.13/0.40 % Memory used: 13.475 MB
%------------------------------------------------------------------------------