TSTP Solution File: LCL469+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : LCL469+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n012.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 12:19:24 EDT 2023
% Result : Theorem 0.13s 0.35s
% Output : CNFRefutation 0.27s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : LCL469+1 : TPTP v8.1.2. Released v3.3.0.
% 0.06/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.33 % Computer : n012.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue May 30 09:40:25 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Drodi V3.5.1
% 0.13/0.35 % Refutation found
% 0.13/0.35 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.35 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.35 fof(f10,axiom,(
% 0.13/0.35 ( or_1<=> (! [X,Y] : is_a_theorem(implies(X,or(X,Y))) )) ),
% 0.13/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.35 fof(f20,axiom,(
% 0.13/0.35 ( cn2<=> (! [P,Q] : is_a_theorem(implies(P,implies(not(P),Q))) )) ),
% 0.13/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.35 fof(f27,axiom,(
% 0.13/0.35 ( op_or=> (! [X,Y] : or(X,Y) = not(and(not(X),not(Y))) )) ),
% 0.13/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.35 fof(f29,axiom,(
% 0.13/0.35 ( op_implies_and=> (! [X,Y] : implies(X,Y) = not(and(X,not(Y))) )) ),
% 0.13/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.35 fof(f32,axiom,(
% 0.13/0.35 op_or ),
% 0.13/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.35 fof(f37,axiom,(
% 0.13/0.35 cn2 ),
% 0.13/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.35 fof(f41,axiom,(
% 0.13/0.35 op_implies_and ),
% 0.13/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.35 fof(f43,conjecture,(
% 0.13/0.35 or_1 ),
% 0.13/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.35 fof(f44,negated_conjecture,(
% 0.13/0.35 ~(or_1 )),
% 0.13/0.35 inference(negated_conjecture,[status(cth)],[f43])).
% 0.13/0.35 fof(f87,plain,(
% 0.13/0.35 (~or_1|(![X,Y]: is_a_theorem(implies(X,or(X,Y)))))&(or_1|(?[X,Y]: ~is_a_theorem(implies(X,or(X,Y)))))),
% 0.13/0.35 inference(NNF_transformation,[status(esa)],[f10])).
% 0.13/0.35 fof(f88,plain,(
% 0.13/0.35 (~or_1|(![X,Y]: is_a_theorem(implies(X,or(X,Y)))))&(or_1|~is_a_theorem(implies(sk0_19,or(sk0_19,sk0_20))))),
% 0.13/0.35 inference(skolemization,[status(esa)],[f87])).
% 0.13/0.35 fof(f90,plain,(
% 0.13/0.35 or_1|~is_a_theorem(implies(sk0_19,or(sk0_19,sk0_20)))),
% 0.13/0.35 inference(cnf_transformation,[status(esa)],[f88])).
% 0.13/0.35 fof(f127,plain,(
% 0.13/0.35 (~cn2|(![P,Q]: is_a_theorem(implies(P,implies(not(P),Q)))))&(cn2|(?[P,Q]: ~is_a_theorem(implies(P,implies(not(P),Q)))))),
% 0.13/0.35 inference(NNF_transformation,[status(esa)],[f20])).
% 0.13/0.35 fof(f128,plain,(
% 0.13/0.35 (~cn2|(![P,Q]: is_a_theorem(implies(P,implies(not(P),Q)))))&(cn2|~is_a_theorem(implies(sk0_41,implies(not(sk0_41),sk0_42))))),
% 0.13/0.35 inference(skolemization,[status(esa)],[f127])).
% 0.13/0.35 fof(f129,plain,(
% 0.13/0.35 ![X0,X1]: (~cn2|is_a_theorem(implies(X0,implies(not(X0),X1))))),
% 0.13/0.35 inference(cnf_transformation,[status(esa)],[f128])).
% 0.13/0.35 fof(f155,plain,(
% 0.13/0.35 ~op_or|(![X,Y]: or(X,Y)=not(and(not(X),not(Y))))),
% 0.13/0.35 inference(pre_NNF_transformation,[status(esa)],[f27])).
% 0.13/0.35 fof(f156,plain,(
% 0.13/0.35 ![X0,X1]: (~op_or|or(X0,X1)=not(and(not(X0),not(X1))))),
% 0.13/0.35 inference(cnf_transformation,[status(esa)],[f155])).
% 0.13/0.35 fof(f159,plain,(
% 0.13/0.35 ~op_implies_and|(![X,Y]: implies(X,Y)=not(and(X,not(Y))))),
% 0.13/0.35 inference(pre_NNF_transformation,[status(esa)],[f29])).
% 0.13/0.35 fof(f160,plain,(
% 0.13/0.35 ![X0,X1]: (~op_implies_and|implies(X0,X1)=not(and(X0,not(X1))))),
% 0.13/0.35 inference(cnf_transformation,[status(esa)],[f159])).
% 0.13/0.35 fof(f165,plain,(
% 0.13/0.35 op_or),
% 0.13/0.35 inference(cnf_transformation,[status(esa)],[f32])).
% 0.13/0.35 fof(f170,plain,(
% 0.13/0.35 cn2),
% 0.13/0.35 inference(cnf_transformation,[status(esa)],[f37])).
% 0.13/0.35 fof(f174,plain,(
% 0.13/0.35 op_implies_and),
% 0.13/0.35 inference(cnf_transformation,[status(esa)],[f41])).
% 0.13/0.35 fof(f176,plain,(
% 0.13/0.35 ~or_1),
% 0.13/0.35 inference(cnf_transformation,[status(esa)],[f44])).
% 0.13/0.35 fof(f288,plain,(
% 0.13/0.35 spl0_30 <=> or_1),
% 0.13/0.35 introduced(split_symbol_definition)).
% 0.13/0.35 fof(f289,plain,(
% 0.13/0.35 or_1|~spl0_30),
% 0.13/0.35 inference(component_clause,[status(thm)],[f288])).
% 0.13/0.35 fof(f291,plain,(
% 0.13/0.35 spl0_31 <=> is_a_theorem(implies(X0,or(X0,X1)))),
% 0.13/0.35 introduced(split_symbol_definition)).
% 0.13/0.35 fof(f292,plain,(
% 0.13/0.35 ![X0,X1]: (is_a_theorem(implies(X0,or(X0,X1)))|~spl0_31)),
% 0.13/0.35 inference(component_clause,[status(thm)],[f291])).
% 0.13/0.35 fof(f295,plain,(
% 0.13/0.35 spl0_32 <=> is_a_theorem(implies(sk0_19,or(sk0_19,sk0_20)))),
% 0.13/0.35 introduced(split_symbol_definition)).
% 0.13/0.35 fof(f297,plain,(
% 0.13/0.35 ~is_a_theorem(implies(sk0_19,or(sk0_19,sk0_20)))|spl0_32),
% 0.13/0.35 inference(component_clause,[status(thm)],[f295])).
% 0.13/0.35 fof(f298,plain,(
% 0.13/0.35 spl0_30|~spl0_32),
% 0.13/0.35 inference(split_clause,[status(thm)],[f90,f288,f295])).
% 0.13/0.35 fof(f392,plain,(
% 0.13/0.35 spl0_58 <=> cn2),
% 0.13/0.35 introduced(split_symbol_definition)).
% 0.13/0.35 fof(f394,plain,(
% 0.13/0.35 ~cn2|spl0_58),
% 0.13/0.35 inference(component_clause,[status(thm)],[f392])).
% 0.13/0.35 fof(f395,plain,(
% 0.13/0.35 spl0_59 <=> is_a_theorem(implies(X0,implies(not(X0),X1)))),
% 0.13/0.35 introduced(split_symbol_definition)).
% 0.13/0.35 fof(f396,plain,(
% 0.27/0.57 ![X0,X1]: (is_a_theorem(implies(X0,implies(not(X0),X1)))|~spl0_59)),
% 0.27/0.57 inference(component_clause,[status(thm)],[f395])).
% 0.27/0.57 fof(f398,plain,(
% 0.27/0.57 ~spl0_58|spl0_59),
% 0.27/0.57 inference(split_clause,[status(thm)],[f129,f392,f395])).
% 0.27/0.57 fof(f466,plain,(
% 0.27/0.57 spl0_78 <=> op_or),
% 0.27/0.57 introduced(split_symbol_definition)).
% 0.27/0.57 fof(f468,plain,(
% 0.27/0.57 ~op_or|spl0_78),
% 0.27/0.57 inference(component_clause,[status(thm)],[f466])).
% 0.27/0.57 fof(f469,plain,(
% 0.27/0.57 spl0_79 <=> or(X0,X1)=not(and(not(X0),not(X1)))),
% 0.27/0.57 introduced(split_symbol_definition)).
% 0.27/0.57 fof(f470,plain,(
% 0.27/0.57 ![X0,X1]: (or(X0,X1)=not(and(not(X0),not(X1)))|~spl0_79)),
% 0.27/0.57 inference(component_clause,[status(thm)],[f469])).
% 0.27/0.57 fof(f472,plain,(
% 0.27/0.57 ~spl0_78|spl0_79),
% 0.27/0.57 inference(split_clause,[status(thm)],[f156,f466,f469])).
% 0.27/0.57 fof(f480,plain,(
% 0.27/0.57 spl0_82 <=> op_implies_and),
% 0.27/0.57 introduced(split_symbol_definition)).
% 0.27/0.57 fof(f482,plain,(
% 0.27/0.57 ~op_implies_and|spl0_82),
% 0.27/0.57 inference(component_clause,[status(thm)],[f480])).
% 0.27/0.57 fof(f483,plain,(
% 0.27/0.57 spl0_83 <=> implies(X0,X1)=not(and(X0,not(X1)))),
% 0.27/0.57 introduced(split_symbol_definition)).
% 0.27/0.57 fof(f484,plain,(
% 0.27/0.57 ![X0,X1]: (implies(X0,X1)=not(and(X0,not(X1)))|~spl0_83)),
% 0.27/0.57 inference(component_clause,[status(thm)],[f483])).
% 0.27/0.57 fof(f486,plain,(
% 0.27/0.57 ~spl0_82|spl0_83),
% 0.27/0.57 inference(split_clause,[status(thm)],[f160,f480,f483])).
% 0.27/0.57 fof(f507,plain,(
% 0.27/0.57 $false|spl0_82),
% 0.27/0.57 inference(forward_subsumption_resolution,[status(thm)],[f482,f174])).
% 0.27/0.57 fof(f508,plain,(
% 0.27/0.57 spl0_82),
% 0.27/0.57 inference(contradiction_clause,[status(thm)],[f507])).
% 0.27/0.57 fof(f509,plain,(
% 0.27/0.57 $false|spl0_78),
% 0.27/0.57 inference(forward_subsumption_resolution,[status(thm)],[f468,f165])).
% 0.27/0.57 fof(f510,plain,(
% 0.27/0.57 spl0_78),
% 0.27/0.57 inference(contradiction_clause,[status(thm)],[f509])).
% 0.27/0.57 fof(f525,plain,(
% 0.27/0.57 $false|~spl0_31|spl0_32),
% 0.27/0.57 inference(forward_subsumption_resolution,[status(thm)],[f297,f292])).
% 0.27/0.57 fof(f526,plain,(
% 0.27/0.57 ~spl0_31|spl0_32),
% 0.27/0.57 inference(contradiction_clause,[status(thm)],[f525])).
% 0.27/0.57 fof(f531,plain,(
% 0.27/0.57 $false|spl0_58),
% 0.27/0.57 inference(forward_subsumption_resolution,[status(thm)],[f394,f170])).
% 0.27/0.57 fof(f532,plain,(
% 0.27/0.57 spl0_58),
% 0.27/0.57 inference(contradiction_clause,[status(thm)],[f531])).
% 0.27/0.57 fof(f566,plain,(
% 0.27/0.57 ![X0,X1]: (or(X0,X1)=implies(not(X0),X1)|~spl0_83|~spl0_79)),
% 0.27/0.57 inference(forward_demodulation,[status(thm)],[f484,f470])).
% 0.27/0.57 fof(f570,plain,(
% 0.27/0.57 ![X0,X1]: (is_a_theorem(implies(X0,or(X0,X1)))|~spl0_83|~spl0_79|~spl0_59)),
% 0.27/0.57 inference(backward_demodulation,[status(thm)],[f566,f396])).
% 0.27/0.57 fof(f571,plain,(
% 0.27/0.57 spl0_31|~spl0_83|~spl0_79|~spl0_59),
% 0.27/0.57 inference(split_clause,[status(thm)],[f570,f291,f483,f469,f395])).
% 0.27/0.57 fof(f578,plain,(
% 0.27/0.57 $false|~spl0_30),
% 0.27/0.57 inference(forward_subsumption_resolution,[status(thm)],[f289,f176])).
% 0.27/0.57 fof(f579,plain,(
% 0.27/0.57 ~spl0_30),
% 0.27/0.57 inference(contradiction_clause,[status(thm)],[f578])).
% 0.27/0.57 fof(f580,plain,(
% 0.27/0.57 $false),
% 0.27/0.57 inference(sat_refutation,[status(thm)],[f298,f398,f472,f486,f508,f510,f526,f532,f571,f579])).
% 0.27/0.57 % SZS output end CNFRefutation for theBenchmark.p
% 0.27/0.57 % Elapsed time: 0.019318 seconds
% 0.27/0.57 % CPU time: 0.045990 seconds
% 0.27/0.57 % Memory used: 14.034 MB
%------------------------------------------------------------------------------