TSTP Solution File: LCL529+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : LCL529+1 : TPTP v8.1.2. Released v3.3.0.
% 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 20:27:23 EDT 2024
% Result : Theorem 0.15s 0.33s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : LCL529+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n028.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 : Mon Apr 29 20:43:14 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.15/0.32 % Drodi V3.6.0
% 0.15/0.33 % Refutation found
% 0.15/0.33 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.33 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.33 fof(f7,axiom,(
% 0.15/0.33 ( and_1<=> (! [X,Y] : is_a_theorem(implies(and(X,Y),X)) )) ),
% 0.15/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f40,axiom,(
% 0.15/0.33 and_1 ),
% 0.15/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f50,axiom,(
% 0.15/0.33 ( necessitation<=> (! [X] :( is_a_theorem(X)=> is_a_theorem(necessarily(X)) ) )) ),
% 0.15/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f64,axiom,(
% 0.15/0.33 ( axiom_m2<=> (! [X,Y] : is_a_theorem(strict_implies(and(X,Y),X)) )) ),
% 0.15/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f75,axiom,(
% 0.15/0.33 ( op_strict_implies=> (! [X,Y] : strict_implies(X,Y) = necessarily(implies(X,Y)) )) ),
% 0.15/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f78,axiom,(
% 0.15/0.33 necessitation ),
% 0.15/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f85,axiom,(
% 0.15/0.33 op_strict_implies ),
% 0.15/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f88,conjecture,(
% 0.15/0.33 axiom_m2 ),
% 0.15/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f89,negated_conjecture,(
% 0.15/0.33 ~(axiom_m2 )),
% 0.15/0.33 inference(negated_conjecture,[status(cth)],[f88])).
% 0.15/0.33 fof(f120,plain,(
% 0.15/0.33 (~and_1|(![X,Y]: is_a_theorem(implies(and(X,Y),X))))&(and_1|(?[X,Y]: ~is_a_theorem(implies(and(X,Y),X))))),
% 0.15/0.33 inference(NNF_transformation,[status(esa)],[f7])).
% 0.15/0.33 fof(f121,plain,(
% 0.15/0.33 (~and_1|(![X,Y]: is_a_theorem(implies(and(X,Y),X))))&(and_1|~is_a_theorem(implies(and(sk0_13,sk0_14),sk0_13)))),
% 0.15/0.33 inference(skolemization,[status(esa)],[f120])).
% 0.15/0.33 fof(f122,plain,(
% 0.15/0.33 ![X0,X1]: (~and_1|is_a_theorem(implies(and(X0,X1),X0)))),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f121])).
% 0.15/0.33 fof(f218,plain,(
% 0.15/0.33 and_1),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f40])).
% 0.15/0.33 fof(f228,plain,(
% 0.15/0.33 necessitation<=>(![X]: (~is_a_theorem(X)|is_a_theorem(necessarily(X))))),
% 0.15/0.33 inference(pre_NNF_transformation,[status(esa)],[f50])).
% 0.15/0.33 fof(f229,plain,(
% 0.15/0.33 (~necessitation|(![X]: (~is_a_theorem(X)|is_a_theorem(necessarily(X)))))&(necessitation|(?[X]: (is_a_theorem(X)&~is_a_theorem(necessarily(X)))))),
% 0.15/0.33 inference(NNF_transformation,[status(esa)],[f228])).
% 0.15/0.33 fof(f230,plain,(
% 0.15/0.33 (~necessitation|(![X]: (~is_a_theorem(X)|is_a_theorem(necessarily(X)))))&(necessitation|(is_a_theorem(sk0_55)&~is_a_theorem(necessarily(sk0_55))))),
% 0.15/0.33 inference(skolemization,[status(esa)],[f229])).
% 0.15/0.33 fof(f231,plain,(
% 0.15/0.33 ![X0]: (~necessitation|~is_a_theorem(X0)|is_a_theorem(necessarily(X0)))),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f230])).
% 0.15/0.33 fof(f295,plain,(
% 0.15/0.33 (~axiom_m2|(![X,Y]: is_a_theorem(strict_implies(and(X,Y),X))))&(axiom_m2|(?[X,Y]: ~is_a_theorem(strict_implies(and(X,Y),X))))),
% 0.15/0.33 inference(NNF_transformation,[status(esa)],[f64])).
% 0.15/0.33 fof(f296,plain,(
% 0.15/0.33 (~axiom_m2|(![X,Y]: is_a_theorem(strict_implies(and(X,Y),X))))&(axiom_m2|~is_a_theorem(strict_implies(and(sk0_78,sk0_79),sk0_78)))),
% 0.15/0.33 inference(skolemization,[status(esa)],[f295])).
% 0.15/0.33 fof(f298,plain,(
% 0.15/0.33 axiom_m2|~is_a_theorem(strict_implies(and(sk0_78,sk0_79),sk0_78))),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f296])).
% 0.15/0.33 fof(f335,plain,(
% 0.15/0.33 ~op_strict_implies|(![X,Y]: strict_implies(X,Y)=necessarily(implies(X,Y)))),
% 0.15/0.33 inference(pre_NNF_transformation,[status(esa)],[f75])).
% 0.15/0.33 fof(f336,plain,(
% 0.15/0.33 ![X0,X1]: (~op_strict_implies|strict_implies(X0,X1)=necessarily(implies(X0,X1)))),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f335])).
% 0.15/0.33 fof(f340,plain,(
% 0.15/0.33 necessitation),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f78])).
% 0.15/0.33 fof(f347,plain,(
% 0.15/0.33 op_strict_implies),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f85])).
% 0.15/0.33 fof(f350,plain,(
% 0.15/0.33 ~axiom_m2),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f89])).
% 0.15/0.33 fof(f429,plain,(
% 0.15/0.33 spl0_21 <=> and_1),
% 0.15/0.33 introduced(split_symbol_definition)).
% 0.15/0.33 fof(f431,plain,(
% 0.15/0.33 ~and_1|spl0_21),
% 0.15/0.33 inference(component_clause,[status(thm)],[f429])).
% 0.15/0.33 fof(f432,plain,(
% 0.15/0.33 spl0_22 <=> is_a_theorem(implies(and(X0,X1),X0))),
% 0.15/0.33 introduced(split_symbol_definition)).
% 0.15/0.33 fof(f433,plain,(
% 0.15/0.33 ![X0,X1]: (is_a_theorem(implies(and(X0,X1),X0))|~spl0_22)),
% 0.15/0.33 inference(component_clause,[status(thm)],[f432])).
% 0.15/0.33 fof(f435,plain,(
% 0.15/0.33 ~spl0_21|spl0_22),
% 0.15/0.33 inference(split_clause,[status(thm)],[f122,f429,f432])).
% 0.15/0.33 fof(f675,plain,(
% 0.15/0.33 spl0_88 <=> necessitation),
% 0.15/0.33 introduced(split_symbol_definition)).
% 0.15/0.33 fof(f677,plain,(
% 0.15/0.33 ~necessitation|spl0_88),
% 0.15/0.33 inference(component_clause,[status(thm)],[f675])).
% 0.15/0.33 fof(f678,plain,(
% 0.15/0.33 spl0_89 <=> ~is_a_theorem(X0)|is_a_theorem(necessarily(X0))),
% 0.15/0.33 introduced(split_symbol_definition)).
% 0.15/0.33 fof(f679,plain,(
% 0.15/0.33 ![X0]: (~is_a_theorem(X0)|is_a_theorem(necessarily(X0))|~spl0_89)),
% 0.15/0.33 inference(component_clause,[status(thm)],[f678])).
% 0.15/0.33 fof(f681,plain,(
% 0.15/0.33 ~spl0_88|spl0_89),
% 0.15/0.33 inference(split_clause,[status(thm)],[f231,f675,f678])).
% 0.15/0.33 fof(f853,plain,(
% 0.15/0.33 spl0_136 <=> axiom_m2),
% 0.15/0.33 introduced(split_symbol_definition)).
% 0.15/0.33 fof(f854,plain,(
% 0.15/0.33 axiom_m2|~spl0_136),
% 0.15/0.33 inference(component_clause,[status(thm)],[f853])).
% 0.15/0.33 fof(f860,plain,(
% 0.15/0.33 spl0_138 <=> is_a_theorem(strict_implies(and(sk0_78,sk0_79),sk0_78))),
% 0.15/0.33 introduced(split_symbol_definition)).
% 0.15/0.33 fof(f862,plain,(
% 0.15/0.33 ~is_a_theorem(strict_implies(and(sk0_78,sk0_79),sk0_78))|spl0_138),
% 0.15/0.33 inference(component_clause,[status(thm)],[f860])).
% 0.15/0.33 fof(f863,plain,(
% 0.15/0.33 spl0_136|~spl0_138),
% 0.15/0.33 inference(split_clause,[status(thm)],[f298,f853,f860])).
% 0.15/0.33 fof(f966,plain,(
% 0.15/0.33 spl0_167 <=> op_strict_implies),
% 0.15/0.33 introduced(split_symbol_definition)).
% 0.15/0.33 fof(f968,plain,(
% 0.15/0.33 ~op_strict_implies|spl0_167),
% 0.15/0.33 inference(component_clause,[status(thm)],[f966])).
% 0.15/0.33 fof(f969,plain,(
% 0.15/0.33 spl0_168 <=> strict_implies(X0,X1)=necessarily(implies(X0,X1))),
% 0.15/0.33 introduced(split_symbol_definition)).
% 0.15/0.33 fof(f970,plain,(
% 0.15/0.33 ![X0,X1]: (strict_implies(X0,X1)=necessarily(implies(X0,X1))|~spl0_168)),
% 0.15/0.33 inference(component_clause,[status(thm)],[f969])).
% 0.15/0.33 fof(f972,plain,(
% 0.15/0.33 ~spl0_167|spl0_168),
% 0.15/0.33 inference(split_clause,[status(thm)],[f336,f966,f969])).
% 0.15/0.33 fof(f984,plain,(
% 0.15/0.33 $false|spl0_88),
% 0.15/0.33 inference(forward_subsumption_resolution,[status(thm)],[f677,f340])).
% 0.15/0.33 fof(f985,plain,(
% 0.15/0.33 spl0_88),
% 0.15/0.33 inference(contradiction_clause,[status(thm)],[f984])).
% 0.15/0.33 fof(f988,plain,(
% 0.15/0.33 $false|spl0_167),
% 0.15/0.33 inference(forward_subsumption_resolution,[status(thm)],[f968,f347])).
% 0.15/0.33 fof(f989,plain,(
% 0.15/0.33 spl0_167),
% 0.15/0.33 inference(contradiction_clause,[status(thm)],[f988])).
% 0.15/0.33 fof(f1007,plain,(
% 0.15/0.33 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(strict_implies(X0,X1))|~spl0_89|~spl0_168)),
% 0.15/0.33 inference(paramodulation,[status(thm)],[f970,f679])).
% 0.15/0.33 fof(f1025,plain,(
% 0.15/0.33 $false|spl0_21),
% 0.15/0.33 inference(forward_subsumption_resolution,[status(thm)],[f431,f218])).
% 0.15/0.33 fof(f1026,plain,(
% 0.15/0.33 spl0_21),
% 0.15/0.33 inference(contradiction_clause,[status(thm)],[f1025])).
% 0.15/0.33 fof(f1134,plain,(
% 0.15/0.33 ~is_a_theorem(implies(and(sk0_78,sk0_79),sk0_78))|spl0_138|~spl0_89|~spl0_168),
% 0.15/0.33 inference(resolution,[status(thm)],[f862,f1007])).
% 0.15/0.33 fof(f1135,plain,(
% 0.15/0.33 $false|~spl0_22|spl0_138|~spl0_89|~spl0_168),
% 0.15/0.33 inference(forward_subsumption_resolution,[status(thm)],[f1134,f433])).
% 0.15/0.33 fof(f1136,plain,(
% 0.15/0.33 ~spl0_22|spl0_138|~spl0_89|~spl0_168),
% 0.15/0.33 inference(contradiction_clause,[status(thm)],[f1135])).
% 0.15/0.33 fof(f1137,plain,(
% 0.15/0.33 $false|~spl0_136),
% 0.15/0.33 inference(forward_subsumption_resolution,[status(thm)],[f854,f350])).
% 0.15/0.33 fof(f1138,plain,(
% 0.15/0.33 ~spl0_136),
% 0.15/0.33 inference(contradiction_clause,[status(thm)],[f1137])).
% 0.15/0.33 fof(f1139,plain,(
% 0.15/0.33 $false),
% 0.15/0.33 inference(sat_refutation,[status(thm)],[f435,f681,f863,f972,f985,f989,f1026,f1136,f1138])).
% 0.15/0.33 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.34 % Elapsed time: 0.022683 seconds
% 0.15/0.34 % CPU time: 0.058744 seconds
% 0.15/0.34 % Total memory used: 15.049 MB
% 0.15/0.34 % Net memory used: 14.997 MB
%------------------------------------------------------------------------------