TSTP Solution File: LCL027-1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : LCL027-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n029.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 20:26:11 EDT 2024
% Result : Unsatisfiable 0.14s 0.36s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : LCL027-1 : TPTP v8.1.2. Released v1.0.0.
% 0.08/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35 % Computer : n029.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Apr 29 20:53:05 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % Drodi V3.6.0
% 0.14/0.36 % Refutation found
% 0.14/0.36 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.36 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.36 fof(f1,axiom,(
% 0.14/0.36 (![X,Y]: (( ~ is_a_theorem(implies(X,Y))| ~ is_a_theorem(X)| is_a_theorem(Y) ) ))),
% 0.14/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.36 fof(f2,axiom,(
% 0.14/0.36 (![X,Y]: (is_a_theorem(implies(X,implies(Y,X))) ))),
% 0.14/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.36 fof(f3,axiom,(
% 0.14/0.36 (![X]: (is_a_theorem(implies(implies(implies(X,falsehood),falsehood),X)) ))),
% 0.14/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.36 fof(f4,axiom,(
% 0.14/0.36 (![X,Y,Z]: (is_a_theorem(implies(implies(X,implies(Y,Z)),implies(implies(X,Y),implies(X,Z)))) ))),
% 0.14/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.36 fof(f5,negated_conjecture,(
% 0.14/0.36 ~ is_a_theorem(implies(falsehood,a)) ),
% 0.14/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.36 fof(f6,plain,(
% 0.14/0.36 ![Y]: ((![X]: (~is_a_theorem(implies(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 0.14/0.36 inference(miniscoping,[status(esa)],[f1])).
% 0.14/0.36 fof(f7,plain,(
% 0.14/0.36 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f6])).
% 0.14/0.36 fof(f8,plain,(
% 0.14/0.36 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X0))))),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f2])).
% 0.14/0.36 fof(f9,plain,(
% 0.14/0.36 ![X0]: (is_a_theorem(implies(implies(implies(X0,falsehood),falsehood),X0)))),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f3])).
% 0.14/0.36 fof(f10,plain,(
% 0.14/0.36 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(X0,X1),implies(X0,X2)))))),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f4])).
% 0.14/0.36 fof(f11,plain,(
% 0.14/0.36 ~is_a_theorem(implies(falsehood,a))),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f5])).
% 0.14/0.36 fof(f12,plain,(
% 0.14/0.36 ![X0,X1]: (~is_a_theorem(X0)|is_a_theorem(implies(X1,X0)))),
% 0.14/0.36 inference(resolution,[status(thm)],[f7,f8])).
% 0.14/0.36 fof(f13,plain,(
% 0.14/0.36 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(X1,implies(X2,X1)))))),
% 0.14/0.36 inference(resolution,[status(thm)],[f12,f8])).
% 0.14/0.36 fof(f14,plain,(
% 0.14/0.36 spl0_0 <=> ~is_a_theorem(X0)),
% 0.14/0.37 introduced(split_symbol_definition)).
% 0.14/0.37 fof(f15,plain,(
% 0.14/0.37 ![X0]: (~is_a_theorem(X0)|~spl0_0)),
% 0.14/0.37 inference(component_clause,[status(thm)],[f14])).
% 0.14/0.37 fof(f17,plain,(
% 0.14/0.37 spl0_1 <=> is_a_theorem(implies(X1,implies(X2,X1)))),
% 0.14/0.37 introduced(split_symbol_definition)).
% 0.14/0.37 fof(f18,plain,(
% 0.14/0.37 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X0)))|~spl0_1)),
% 0.14/0.37 inference(component_clause,[status(thm)],[f17])).
% 0.14/0.37 fof(f20,plain,(
% 0.14/0.37 ![X0,X1,X2]: (~is_a_theorem(X0)|is_a_theorem(implies(X1,implies(X2,X1))))),
% 0.14/0.37 inference(resolution,[status(thm)],[f13,f7])).
% 0.14/0.37 fof(f21,plain,(
% 0.14/0.37 spl0_0|spl0_1),
% 0.14/0.37 inference(split_clause,[status(thm)],[f20,f14,f17])).
% 0.14/0.37 fof(f23,plain,(
% 0.14/0.37 $false|~spl0_0),
% 0.14/0.37 inference(backward_subsumption_resolution,[status(thm)],[f13,f15])).
% 0.14/0.37 fof(f24,plain,(
% 0.14/0.37 ~spl0_0),
% 0.14/0.37 inference(contradiction_clause,[status(thm)],[f23])).
% 0.14/0.37 fof(f51,plain,(
% 0.14/0.37 ![X0,X1,X2]: (~is_a_theorem(implies(X0,implies(X1,X2)))|is_a_theorem(implies(implies(X0,X1),implies(X0,X2))))),
% 0.14/0.37 inference(resolution,[status(thm)],[f10,f7])).
% 0.14/0.37 fof(f52,plain,(
% 0.14/0.37 ![X0,X1,X2]: (~is_a_theorem(implies(X0,implies(X1,X2)))|~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(X0,X2)))),
% 0.14/0.37 inference(resolution,[status(thm)],[f51,f7])).
% 0.14/0.37 fof(f54,plain,(
% 0.14/0.37 ![X0]: (~is_a_theorem(implies(falsehood,implies(X0,a)))|~is_a_theorem(implies(falsehood,X0)))),
% 0.14/0.37 inference(resolution,[status(thm)],[f52,f11])).
% 0.14/0.37 fof(f57,plain,(
% 0.14/0.37 ![X0]: (~is_a_theorem(implies(falsehood,X0))|~is_a_theorem(implies(X0,a)))),
% 0.14/0.37 inference(resolution,[status(thm)],[f54,f12])).
% 0.14/0.37 fof(f58,plain,(
% 0.14/0.37 ~is_a_theorem(implies(falsehood,implies(implies(a,falsehood),falsehood)))),
% 0.14/0.37 inference(resolution,[status(thm)],[f57,f9])).
% 0.14/0.37 fof(f59,plain,(
% 0.14/0.37 $false|~spl0_1),
% 0.14/0.37 inference(forward_subsumption_resolution,[status(thm)],[f58,f18])).
% 0.14/0.37 fof(f60,plain,(
% 0.14/0.37 ~spl0_1),
% 0.14/0.37 inference(contradiction_clause,[status(thm)],[f59])).
% 0.14/0.37 fof(f61,plain,(
% 0.14/0.37 $false),
% 0.14/0.37 inference(sat_refutation,[status(thm)],[f21,f24,f60])).
% 0.14/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.38 % Elapsed time: 0.018235 seconds
% 0.14/0.38 % CPU time: 0.028370 seconds
% 0.14/0.38 % Total memory used: 6.674 MB
% 0.14/0.38 % Net memory used: 6.643 MB
%------------------------------------------------------------------------------