TSTP Solution File: LCL451+1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : LCL451+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 : Tue Apr 30 20:27:14 EDT 2024
% Result : Theorem 0.13s 0.36s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL451+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n012.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 : Mon Apr 29 20:11:57 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.6.0
% 0.13/0.36 % Refutation found
% 0.13/0.36 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.36 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.36 fof(f6,axiom,(
% 0.13/0.36 ( implies_3<=> (! [X,Y,Z] : is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))) )) ),
% 0.13/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f19,axiom,(
% 0.13/0.36 ( cn1<=> (! [P,Q,R] : is_a_theorem(implies(implies(P,Q),implies(implies(Q,R),implies(P,R)))) )) ),
% 0.13/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f39,axiom,(
% 0.13/0.36 implies_3 ),
% 0.13/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f53,conjecture,(
% 0.13/0.36 cn1 ),
% 0.13/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f54,negated_conjecture,(
% 0.13/0.36 ~(cn1 )),
% 0.13/0.36 inference(negated_conjecture,[status(cth)],[f53])).
% 0.13/0.36 fof(f81,plain,(
% 0.13/0.36 (~implies_3|(![X,Y,Z]: is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z))))))&(implies_3|(?[X,Y,Z]: ~is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z))))))),
% 0.13/0.36 inference(NNF_transformation,[status(esa)],[f6])).
% 0.13/0.36 fof(f82,plain,(
% 0.13/0.36 (~implies_3|(![X,Y,Z]: is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z))))))&(implies_3|~is_a_theorem(implies(implies(sk0_10,sk0_11),implies(implies(sk0_11,sk0_12),implies(sk0_10,sk0_12)))))),
% 0.13/0.36 inference(skolemization,[status(esa)],[f81])).
% 0.13/0.36 fof(f83,plain,(
% 0.13/0.36 ![X0,X1,X2]: (~implies_3|is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f82])).
% 0.13/0.36 fof(f133,plain,(
% 0.13/0.36 (~cn1|(![P,Q,R]: is_a_theorem(implies(implies(P,Q),implies(implies(Q,R),implies(P,R))))))&(cn1|(?[P,Q,R]: ~is_a_theorem(implies(implies(P,Q),implies(implies(Q,R),implies(P,R))))))),
% 0.13/0.36 inference(NNF_transformation,[status(esa)],[f19])).
% 0.13/0.36 fof(f134,plain,(
% 0.13/0.36 (~cn1|(![P,Q,R]: is_a_theorem(implies(implies(P,Q),implies(implies(Q,R),implies(P,R))))))&(cn1|~is_a_theorem(implies(implies(sk0_38,sk0_39),implies(implies(sk0_39,sk0_40),implies(sk0_38,sk0_40)))))),
% 0.13/0.36 inference(skolemization,[status(esa)],[f133])).
% 0.13/0.36 fof(f136,plain,(
% 0.13/0.36 cn1|~is_a_theorem(implies(implies(sk0_38,sk0_39),implies(implies(sk0_39,sk0_40),implies(sk0_38,sk0_40))))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f134])).
% 0.13/0.36 fof(f182,plain,(
% 0.13/0.36 implies_3),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f39])).
% 0.13/0.36 fof(f196,plain,(
% 0.13/0.36 ~cn1),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f54])).
% 0.13/0.36 fof(f264,plain,(
% 0.13/0.36 spl0_18 <=> implies_3),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f266,plain,(
% 0.13/0.36 ~implies_3|spl0_18),
% 0.13/0.36 inference(component_clause,[status(thm)],[f264])).
% 0.13/0.36 fof(f267,plain,(
% 0.13/0.36 spl0_19 <=> is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))))),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f268,plain,(
% 0.13/0.36 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))))|~spl0_19)),
% 0.13/0.36 inference(component_clause,[status(thm)],[f267])).
% 0.13/0.36 fof(f270,plain,(
% 0.13/0.36 ~spl0_18|spl0_19),
% 0.13/0.36 inference(split_clause,[status(thm)],[f83,f264,f267])).
% 0.13/0.36 fof(f404,plain,(
% 0.13/0.36 spl0_56 <=> cn1),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f405,plain,(
% 0.13/0.36 cn1|~spl0_56),
% 0.13/0.36 inference(component_clause,[status(thm)],[f404])).
% 0.13/0.36 fof(f408,plain,(
% 0.13/0.36 spl0_57 <=> is_a_theorem(implies(implies(sk0_38,sk0_39),implies(implies(sk0_39,sk0_40),implies(sk0_38,sk0_40))))),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f410,plain,(
% 0.13/0.36 ~is_a_theorem(implies(implies(sk0_38,sk0_39),implies(implies(sk0_39,sk0_40),implies(sk0_38,sk0_40))))|spl0_57),
% 0.13/0.36 inference(component_clause,[status(thm)],[f408])).
% 0.13/0.36 fof(f411,plain,(
% 0.13/0.36 spl0_56|~spl0_57),
% 0.13/0.36 inference(split_clause,[status(thm)],[f136,f404,f408])).
% 0.13/0.36 fof(f660,plain,(
% 0.13/0.36 $false|spl0_18),
% 0.13/0.36 inference(forward_subsumption_resolution,[status(thm)],[f266,f182])).
% 0.13/0.36 fof(f661,plain,(
% 0.13/0.36 spl0_18),
% 0.13/0.36 inference(contradiction_clause,[status(thm)],[f660])).
% 0.13/0.36 fof(f662,plain,(
% 0.13/0.36 $false|~spl0_19|spl0_57),
% 0.13/0.36 inference(backward_subsumption_resolution,[status(thm)],[f410,f268])).
% 0.13/0.36 fof(f663,plain,(
% 0.13/0.36 ~spl0_19|spl0_57),
% 0.13/0.36 inference(contradiction_clause,[status(thm)],[f662])).
% 0.13/0.36 fof(f670,plain,(
% 0.13/0.36 $false|~spl0_56),
% 0.13/0.36 inference(forward_subsumption_resolution,[status(thm)],[f405,f196])).
% 0.13/0.36 fof(f671,plain,(
% 0.13/0.36 ~spl0_56),
% 0.13/0.36 inference(contradiction_clause,[status(thm)],[f670])).
% 0.13/0.36 fof(f672,plain,(
% 0.13/0.36 $false),
% 0.13/0.36 inference(sat_refutation,[status(thm)],[f270,f411,f661,f663,f671])).
% 0.13/0.36 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.37 % Elapsed time: 0.024652 seconds
% 0.13/0.37 % CPU time: 0.054709 seconds
% 0.13/0.37 % Total memory used: 13.831 MB
% 0.13/0.37 % Net memory used: 13.754 MB
%------------------------------------------------------------------------------