TSTP Solution File: LCL072-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : LCL072-1 : 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 12:18:10 EDT 2023
% Result : Unsatisfiable 0.15s 0.49s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : LCL072-1 : TPTP v8.1.2. Released v1.0.0.
% 0.05/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n014.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 09:35:33 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.10/0.31 % Drodi V3.5.1
% 0.15/0.49 % Refutation found
% 0.15/0.49 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.49 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.49 fof(f1,axiom,(
% 0.15/0.49 (![X,Y]: (( ~ is_a_theorem(implies(X,Y))| ~ is_a_theorem(X)| is_a_theorem(Y) ) ))),
% 0.15/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.49 fof(f2,axiom,(
% 0.15/0.49 (![X,Y,Z]: (is_a_theorem(implies(implies(implies(X,Y),Z),implies(Y,Z))) ))),
% 0.15/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.49 fof(f3,axiom,(
% 0.15/0.49 (![X,Y,Z]: (is_a_theorem(implies(implies(implies(X,Y),Z),implies(not(X),Z))) ))),
% 0.15/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.49 fof(f4,axiom,(
% 0.15/0.49 (![X,Y,Z,U]: (is_a_theorem(implies(implies(X,implies(not(Y),Z)),implies(X,implies(implies(U,Z),implies(implies(Y,U),Z))))) ))),
% 0.15/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.49 fof(f5,negated_conjecture,(
% 0.15/0.49 ~ is_a_theorem(implies(a,implies(not(a),b))) ),
% 0.15/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.49 fof(f6,plain,(
% 0.15/0.49 ![Y]: ((![X]: (~is_a_theorem(implies(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 0.15/0.49 inference(miniscoping,[status(esa)],[f1])).
% 0.15/0.49 fof(f7,plain,(
% 0.15/0.49 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 0.15/0.49 inference(cnf_transformation,[status(esa)],[f6])).
% 0.15/0.49 fof(f8,plain,(
% 0.15/0.49 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))))),
% 0.15/0.49 inference(cnf_transformation,[status(esa)],[f2])).
% 0.15/0.49 fof(f9,plain,(
% 0.15/0.49 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X1),X2),implies(not(X0),X2))))),
% 0.15/0.49 inference(cnf_transformation,[status(esa)],[f3])).
% 0.15/0.49 fof(f10,plain,(
% 0.15/0.49 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(X0,implies(not(X1),X2)),implies(X0,implies(implies(X3,X2),implies(implies(X1,X3),X2))))))),
% 0.15/0.49 inference(cnf_transformation,[status(esa)],[f4])).
% 0.15/0.49 fof(f11,plain,(
% 0.15/0.49 ~is_a_theorem(implies(a,implies(not(a),b)))),
% 0.15/0.49 inference(cnf_transformation,[status(esa)],[f5])).
% 0.15/0.49 fof(f12,plain,(
% 0.15/0.49 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,X1),X2))|is_a_theorem(implies(X1,X2)))),
% 0.15/0.49 inference(resolution,[status(thm)],[f8,f7])).
% 0.15/0.49 fof(f13,plain,(
% 0.15/0.49 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X0))))),
% 0.15/0.49 inference(resolution,[status(thm)],[f12,f8])).
% 0.15/0.49 fof(f14,plain,(
% 0.15/0.49 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(X1,implies(X2,X0)))))),
% 0.15/0.49 inference(resolution,[status(thm)],[f13,f12])).
% 0.15/0.49 fof(f17,plain,(
% 0.15/0.49 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,X1),X2))|is_a_theorem(implies(not(X0),X2)))),
% 0.15/0.49 inference(resolution,[status(thm)],[f9,f7])).
% 0.15/0.49 fof(f23,plain,(
% 0.15/0.49 spl0_1 <=> ~is_a_theorem(X1)),
% 0.15/0.49 introduced(split_symbol_definition)).
% 0.15/0.49 fof(f24,plain,(
% 0.15/0.49 ![X0]: (~is_a_theorem(X0)|~spl0_1)),
% 0.15/0.49 inference(component_clause,[status(thm)],[f23])).
% 0.15/0.49 fof(f38,plain,(
% 0.15/0.49 $false|~spl0_1),
% 0.15/0.49 inference(backward_subsumption_resolution,[status(thm)],[f9,f24])).
% 0.15/0.49 fof(f39,plain,(
% 0.15/0.49 ~spl0_1),
% 0.15/0.49 inference(contradiction_clause,[status(thm)],[f38])).
% 0.15/0.49 fof(f59,plain,(
% 0.15/0.49 ![X0,X1,X2]: (is_a_theorem(implies(not(implies(X0,X1)),implies(not(X0),X2))))),
% 0.15/0.49 inference(resolution,[status(thm)],[f17,f9])).
% 0.15/0.49 fof(f60,plain,(
% 0.15/0.49 ![X0,X1,X2]: (is_a_theorem(implies(not(implies(X0,X1)),implies(X1,X2))))),
% 0.15/0.49 inference(resolution,[status(thm)],[f17,f8])).
% 0.15/0.49 fof(f103,plain,(
% 0.15/0.49 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(not(X0),X1),implies(X2,implies(implies(X3,X1),implies(implies(X0,X3),X1))))))),
% 0.15/0.49 inference(resolution,[status(thm)],[f10,f12])).
% 0.15/0.49 fof(f168,plain,(
% 0.15/0.49 ![X0,X1,X2,X3]: (~is_a_theorem(implies(not(X0),X1))|is_a_theorem(implies(X2,implies(implies(X3,X1),implies(implies(X0,X3),X1)))))),
% 0.15/0.49 inference(resolution,[status(thm)],[f103,f7])).
% 0.15/0.49 fof(f172,plain,(
% 0.15/0.49 spl0_14 <=> ~is_a_theorem(implies(not(X0),X1))|is_a_theorem(implies(implies(X3,X1),implies(implies(X0,X3),X1)))),
% 0.15/0.49 introduced(split_symbol_definition)).
% 0.15/0.49 fof(f173,plain,(
% 0.15/0.49 ![X0,X1,X2]: (~is_a_theorem(implies(not(X0),X1))|is_a_theorem(implies(implies(X2,X1),implies(implies(X0,X2),X1)))|~spl0_14)),
% 0.15/0.49 inference(component_clause,[status(thm)],[f172])).
% 0.15/0.49 fof(f175,plain,(
% 0.15/0.49 ![X0,X1,X2,X3]: (~is_a_theorem(implies(not(X0),X1))|~is_a_theorem(X2)|is_a_theorem(implies(implies(X3,X1),implies(implies(X0,X3),X1))))),
% 0.15/0.49 inference(resolution,[status(thm)],[f168,f7])).
% 0.15/0.49 fof(f176,plain,(
% 0.15/0.49 spl0_14|spl0_1),
% 0.15/0.49 inference(split_clause,[status(thm)],[f175,f172,f23])).
% 0.15/0.49 fof(f179,plain,(
% 0.15/0.49 ![X0,X1,X2]: (~is_a_theorem(implies(not(X0),X1))|~is_a_theorem(implies(X2,X1))|is_a_theorem(implies(implies(X0,X2),X1))|~spl0_14)),
% 0.15/0.49 inference(resolution,[status(thm)],[f173,f7])).
% 0.15/0.49 fof(f271,plain,(
% 0.15/0.49 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(X2)|~is_a_theorem(implies(not(X0),X2))|~is_a_theorem(implies(X1,X2))|~spl0_14)),
% 0.15/0.49 inference(resolution,[status(thm)],[f7,f179])).
% 0.15/0.49 fof(f347,plain,(
% 0.15/0.49 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(X0,X1),X2))|is_a_theorem(implies(X1,X3))|~is_a_theorem(implies(X2,implies(X1,X3)))|~spl0_14)),
% 0.15/0.49 inference(resolution,[status(thm)],[f271,f60])).
% 0.15/0.49 fof(f373,plain,(
% 0.15/0.49 ![X0,X1,X2]: (is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(implies(X2,X0),implies(X0,X1)))|~spl0_14)),
% 0.15/0.49 inference(resolution,[status(thm)],[f347,f8])).
% 0.15/0.49 fof(f396,plain,(
% 0.15/0.49 ![X0]: (is_a_theorem(implies(X0,X0))|~spl0_14)),
% 0.15/0.49 inference(resolution,[status(thm)],[f373,f8])).
% 0.15/0.49 fof(f417,plain,(
% 0.15/0.49 ![X0,X1]: (is_a_theorem(implies(not(X0),implies(X0,X1)))|~spl0_14)),
% 0.15/0.49 inference(resolution,[status(thm)],[f396,f17])).
% 0.15/0.49 fof(f421,plain,(
% 0.15/0.49 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(X0,X2))|~is_a_theorem(implies(X1,implies(X0,X2)))|~spl0_14)),
% 0.15/0.49 inference(resolution,[status(thm)],[f417,f271])).
% 0.15/0.49 fof(f537,plain,(
% 0.15/0.49 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(X0,implies(X2,X1)))|~spl0_14)),
% 0.15/0.49 inference(resolution,[status(thm)],[f421,f14])).
% 0.15/0.49 fof(f538,plain,(
% 0.15/0.49 ![X0,X1]: (~is_a_theorem(implies(X0,implies(X0,X1)))|is_a_theorem(implies(X0,X1))|~spl0_14)),
% 0.15/0.49 inference(resolution,[status(thm)],[f421,f396])).
% 0.15/0.49 fof(f558,plain,(
% 0.15/0.49 ![X0]: (is_a_theorem(implies(implies(X0,X0),X0))|~is_a_theorem(implies(not(X0),X0))|~spl0_14)),
% 0.15/0.49 inference(resolution,[status(thm)],[f538,f173])).
% 0.15/0.49 fof(f701,plain,(
% 0.15/0.49 ![X0]: (~is_a_theorem(implies(not(X0),X0))|~is_a_theorem(implies(X0,X0))|is_a_theorem(X0)|~spl0_14)),
% 0.15/0.49 inference(resolution,[status(thm)],[f558,f7])).
% 0.15/0.49 fof(f702,plain,(
% 0.15/0.49 ![X0]: (~is_a_theorem(implies(not(X0),X0))|is_a_theorem(X0)|~spl0_14)),
% 0.15/0.49 inference(forward_subsumption_resolution,[status(thm)],[f701,f396])).
% 0.15/0.49 fof(f714,plain,(
% 0.15/0.49 ![X0,X1]: (is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(not(implies(X0,X1)),X1))|~spl0_14)),
% 0.15/0.49 inference(resolution,[status(thm)],[f702,f537])).
% 0.15/0.49 fof(f758,plain,(
% 0.15/0.49 ![X0,X1]: (is_a_theorem(implies(X0,implies(not(X0),X1)))|~spl0_14)),
% 0.15/0.49 inference(resolution,[status(thm)],[f714,f59])).
% 0.15/0.49 fof(f773,plain,(
% 0.15/0.49 $false|~spl0_14),
% 0.15/0.49 inference(backward_subsumption_resolution,[status(thm)],[f11,f758])).
% 0.15/0.49 fof(f774,plain,(
% 0.15/0.49 ~spl0_14),
% 0.15/0.49 inference(contradiction_clause,[status(thm)],[f773])).
% 0.15/0.49 fof(f775,plain,(
% 0.15/0.49 $false),
% 0.15/0.49 inference(sat_refutation,[status(thm)],[f39,f176,f774])).
% 0.15/0.49 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.51 % Elapsed time: 0.199467 seconds
% 0.15/0.51 % CPU time: 1.140902 seconds
% 0.15/0.51 % Memory used: 47.415 MB
%------------------------------------------------------------------------------