TSTP Solution File: LCL110-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : LCL110-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n018.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 12:18:17 EDT 2023
% Result : Unsatisfiable 0.20s 0.45s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : LCL110-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n018.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 : Tue May 30 09:51:25 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Drodi V3.5.1
% 0.20/0.45 % Refutation found
% 0.20/0.45 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.45 % SZS output start CNFRefutation for theBenchmark
% 0.20/0.45 fof(f1,axiom,(
% 0.20/0.45 (![X,Y]: (( ~ is_a_theorem(implies(X,Y))| ~ is_a_theorem(X)| is_a_theorem(Y) ) ))),
% 0.20/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.45 fof(f2,axiom,(
% 0.20/0.45 (![X,Y]: (is_a_theorem(implies(X,implies(Y,X))) ))),
% 0.20/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.45 fof(f3,axiom,(
% 0.20/0.45 (![X,Y,Z]: (is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))) ))),
% 0.20/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.45 fof(f4,axiom,(
% 0.20/0.45 (![X,Y]: (is_a_theorem(implies(implies(implies(X,Y),Y),implies(implies(Y,X),X))) ))),
% 0.20/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.45 fof(f5,axiom,(
% 0.20/0.45 (![X,Y]: (is_a_theorem(implies(implies(not(X),not(Y)),implies(Y,X))) ))),
% 0.20/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.45 fof(f6,negated_conjecture,(
% 0.20/0.45 ~ is_a_theorem(implies(not(not(a)),a)) ),
% 0.20/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.45 fof(f7,plain,(
% 0.20/0.45 ![Y]: ((![X]: (~is_a_theorem(implies(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 0.20/0.45 inference(miniscoping,[status(esa)],[f1])).
% 0.20/0.45 fof(f8,plain,(
% 0.20/0.45 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 0.20/0.45 inference(cnf_transformation,[status(esa)],[f7])).
% 0.20/0.45 fof(f9,plain,(
% 0.20/0.45 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X0))))),
% 0.20/0.45 inference(cnf_transformation,[status(esa)],[f2])).
% 0.20/0.45 fof(f10,plain,(
% 0.20/0.45 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))))),
% 0.20/0.45 inference(cnf_transformation,[status(esa)],[f3])).
% 0.20/0.45 fof(f11,plain,(
% 0.20/0.45 ![X0,X1]: (is_a_theorem(implies(implies(implies(X0,X1),X1),implies(implies(X1,X0),X0))))),
% 0.20/0.45 inference(cnf_transformation,[status(esa)],[f4])).
% 0.20/0.45 fof(f12,plain,(
% 0.20/0.45 ![X0,X1]: (is_a_theorem(implies(implies(not(X0),not(X1)),implies(X1,X0))))),
% 0.20/0.45 inference(cnf_transformation,[status(esa)],[f5])).
% 0.20/0.45 fof(f13,plain,(
% 0.20/0.45 ~is_a_theorem(implies(not(not(a)),a))),
% 0.20/0.45 inference(cnf_transformation,[status(esa)],[f6])).
% 0.20/0.45 fof(f14,plain,(
% 0.20/0.45 ![X0,X1]: (~is_a_theorem(X0)|is_a_theorem(implies(X1,X0)))),
% 0.20/0.45 inference(resolution,[status(thm)],[f8,f9])).
% 0.20/0.45 fof(f19,plain,(
% 0.20/0.45 spl0_1 <=> ~is_a_theorem(X1)),
% 0.20/0.45 introduced(split_symbol_definition)).
% 0.20/0.45 fof(f20,plain,(
% 0.20/0.45 ![X0]: (~is_a_theorem(X0)|~spl0_1)),
% 0.20/0.45 inference(component_clause,[status(thm)],[f19])).
% 0.20/0.45 fof(f24,plain,(
% 0.20/0.45 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(implies(X1,X2),implies(X0,X2))))),
% 0.20/0.45 inference(resolution,[status(thm)],[f10,f8])).
% 0.20/0.45 fof(f60,plain,(
% 0.20/0.45 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(not(X1),not(X0)),X2))))),
% 0.20/0.45 inference(resolution,[status(thm)],[f24,f12])).
% 0.20/0.45 fof(f62,plain,(
% 0.20/0.45 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))))),
% 0.20/0.45 inference(resolution,[status(thm)],[f24,f9])).
% 0.20/0.45 fof(f67,plain,(
% 0.20/0.45 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(X2,X1)))|~is_a_theorem(X0))),
% 0.20/0.45 inference(resolution,[status(thm)],[f24,f14])).
% 0.20/0.45 fof(f69,plain,(
% 0.20/0.45 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,X1),X2))|is_a_theorem(implies(X1,X2)))),
% 0.20/0.45 inference(resolution,[status(thm)],[f62,f8])).
% 0.20/0.45 fof(f80,plain,(
% 0.20/0.45 ![X0,X1]: (is_a_theorem(implies(X0,implies(implies(X0,X1),X1))))),
% 0.20/0.45 inference(resolution,[status(thm)],[f69,f11])).
% 0.20/0.45 fof(f82,plain,(
% 0.20/0.45 ![X0,X1]: (is_a_theorem(implies(not(X0),implies(X0,X1))))),
% 0.20/0.45 inference(resolution,[status(thm)],[f69,f12])).
% 0.20/0.45 fof(f84,plain,(
% 0.20/0.45 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(X1,implies(X2,X0)))))),
% 0.20/0.45 inference(resolution,[status(thm)],[f69,f9])).
% 0.20/0.45 fof(f95,plain,(
% 0.20/0.45 ![X0,X1]: (~is_a_theorem(X0)|is_a_theorem(implies(implies(X0,X1),X1)))),
% 0.20/0.45 inference(resolution,[status(thm)],[f80,f8])).
% 0.20/0.45 fof(f99,plain,(
% 0.20/0.45 ![X0,X1,X2]: (~is_a_theorem(X0)|is_a_theorem(implies(X1,implies(X2,X0))))),
% 0.20/0.45 inference(resolution,[status(thm)],[f84,f8])).
% 0.20/0.45 fof(f108,plain,(
% 0.20/0.45 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,implies(X1,X0)),X2),X2)))),
% 0.20/0.45 inference(resolution,[status(thm)],[f95,f9])).
% 0.20/0.45 fof(f113,plain,(
% 0.20/0.45 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X1),X2),X2))|~is_a_theorem(X1))),
% 0.20/0.46 inference(resolution,[status(thm)],[f95,f14])).
% 0.20/0.46 fof(f157,plain,(
% 0.20/0.46 ![X0]: (is_a_theorem(implies(X0,X0)))),
% 0.20/0.46 inference(resolution,[status(thm)],[f108,f69])).
% 0.20/0.46 fof(f166,plain,(
% 0.20/0.46 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(X1,implies(X2,X2)))))),
% 0.20/0.46 inference(resolution,[status(thm)],[f157,f99])).
% 0.20/0.46 fof(f188,plain,(
% 0.20/0.46 $false|~spl0_1),
% 0.20/0.46 inference(backward_subsumption_resolution,[status(thm)],[f82,f20])).
% 0.20/0.46 fof(f189,plain,(
% 0.20/0.46 ~spl0_1),
% 0.20/0.46 inference(contradiction_clause,[status(thm)],[f188])).
% 0.20/0.46 fof(f200,plain,(
% 0.20/0.46 spl0_8 <=> is_a_theorem(implies(X1,implies(X2,X2)))),
% 0.20/0.46 introduced(split_symbol_definition)).
% 0.20/0.46 fof(f201,plain,(
% 0.20/0.46 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X1)))|~spl0_8)),
% 0.20/0.46 inference(component_clause,[status(thm)],[f200])).
% 0.20/0.46 fof(f203,plain,(
% 0.20/0.46 ![X0,X1,X2]: (~is_a_theorem(X0)|is_a_theorem(implies(X1,implies(X2,X2))))),
% 0.20/0.46 inference(resolution,[status(thm)],[f166,f8])).
% 0.20/0.46 fof(f204,plain,(
% 0.20/0.46 spl0_1|spl0_8),
% 0.20/0.46 inference(split_clause,[status(thm)],[f203,f19,f200])).
% 0.20/0.46 fof(f340,plain,(
% 0.20/0.46 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(X0,implies(X1,implies(X2,X2))),X3),X3))|~spl0_8)),
% 0.20/0.46 inference(resolution,[status(thm)],[f113,f201])).
% 0.20/0.46 fof(f429,plain,(
% 0.20/0.46 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(implies(X1,X2),implies(X0,X2))))),
% 0.20/0.46 inference(resolution,[status(thm)],[f10,f8])).
% 0.20/0.46 fof(f481,plain,(
% 0.20/0.46 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(X0,implies(X1,X1)),X2),implies(X3,X2)))|~spl0_8)),
% 0.20/0.46 inference(resolution,[status(thm)],[f67,f201])).
% 0.20/0.46 fof(f639,plain,(
% 0.20/0.46 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(X0,implies(X1,implies(X2,X2))),X3))|is_a_theorem(X3)|~spl0_8)),
% 0.20/0.46 inference(resolution,[status(thm)],[f340,f8])).
% 0.20/0.46 fof(f650,plain,(
% 0.20/0.46 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(X0,implies(X1,X1)),X2))|is_a_theorem(implies(X3,X2))|~spl0_8)),
% 0.20/0.46 inference(resolution,[status(thm)],[f481,f8])).
% 0.20/0.46 fof(f699,plain,(
% 0.20/0.46 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(implies(implies(X1,X1),X2),X2)))|~spl0_8)),
% 0.20/0.46 inference(resolution,[status(thm)],[f650,f11])).
% 0.20/0.46 fof(f755,plain,(
% 0.20/0.46 ![X0,X1]: (is_a_theorem(implies(implies(implies(X0,X0),X1),X1))|~spl0_8)),
% 0.20/0.46 inference(resolution,[status(thm)],[f639,f699])).
% 0.20/0.46 fof(f792,plain,(
% 0.20/0.46 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(not(X1),implies(X1,X2)))))),
% 0.20/0.46 inference(resolution,[status(thm)],[f82,f14])).
% 0.20/0.46 fof(f809,plain,(
% 0.20/0.46 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(implies(implies(X0,X0),X1),X1),X2),X2))|~spl0_8)),
% 0.20/0.46 inference(resolution,[status(thm)],[f95,f755])).
% 0.20/0.46 fof(f1148,plain,(
% 0.20/0.46 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(implies(implies(X2,X2),X0),X1)))|~spl0_8)),
% 0.20/0.46 inference(resolution,[status(thm)],[f429,f755])).
% 0.20/0.46 fof(f1194,plain,(
% 0.20/0.46 ![X0,X1,X2]: (~is_a_theorem(implies(implies(implies(implies(X0,X0),X1),X1),X2))|is_a_theorem(X2)|~spl0_8)),
% 0.20/0.46 inference(resolution,[status(thm)],[f809,f8])).
% 0.20/0.46 fof(f1219,plain,(
% 0.20/0.46 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(implies(implies(X2,X2),X0),X1))|~spl0_8)),
% 0.20/0.46 inference(resolution,[status(thm)],[f1148,f8])).
% 0.20/0.46 fof(f1288,plain,(
% 0.20/0.46 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X0),X1),implies(implies(X1,X2),X2)))|~spl0_8)),
% 0.20/0.46 inference(resolution,[status(thm)],[f1219,f80])).
% 0.20/0.46 fof(f1495,plain,(
% 0.20/0.46 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,X0),X1))|is_a_theorem(implies(implies(X1,X2),X2))|~spl0_8)),
% 0.20/0.46 inference(resolution,[status(thm)],[f1288,f8])).
% 0.20/0.46 fof(f1970,plain,(
% 0.20/0.46 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(not(X0),implies(X0,X1)),X2),X2))|~spl0_8)),
% 0.20/0.46 inference(resolution,[status(thm)],[f1495,f792])).
% 0.20/0.46 fof(f2015,plain,(
% 0.20/0.46 ![X0,X1,X2]: (~is_a_theorem(implies(implies(not(X0),implies(X0,X1)),X2))|is_a_theorem(X2)|~spl0_8)),
% 0.20/0.46 inference(resolution,[status(thm)],[f1970,f8])).
% 0.20/0.46 fof(f2053,plain,(
% 0.20/0.46 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X1),X2),implies(not(X0),X2)))|~spl0_8)),
% 0.20/0.46 inference(resolution,[status(thm)],[f2015,f10])).
% 0.20/0.46 fof(f2288,plain,(
% 0.20/0.46 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,X1),X2))|is_a_theorem(implies(not(X0),X2))|~spl0_8)),
% 0.20/0.46 inference(resolution,[status(thm)],[f2053,f8])).
% 0.20/0.46 fof(f2803,plain,(
% 0.20/0.46 ![X0,X1]: (is_a_theorem(implies(implies(not(X0),not(implies(X1,X1))),X0))|~spl0_8)),
% 0.20/0.46 inference(resolution,[status(thm)],[f60,f1194])).
% 0.20/0.46 fof(f3137,plain,(
% 0.20/0.46 ![X0]: (is_a_theorem(implies(not(not(X0)),X0))|~spl0_8)),
% 0.20/0.46 inference(resolution,[status(thm)],[f2288,f2803])).
% 0.20/0.46 fof(f3214,plain,(
% 0.20/0.46 $false|~spl0_8),
% 0.20/0.46 inference(backward_subsumption_resolution,[status(thm)],[f13,f3137])).
% 0.20/0.46 fof(f3215,plain,(
% 0.20/0.46 ~spl0_8),
% 0.20/0.46 inference(contradiction_clause,[status(thm)],[f3214])).
% 0.20/0.46 fof(f3216,plain,(
% 0.20/0.46 $false),
% 0.20/0.46 inference(sat_refutation,[status(thm)],[f189,f204,f3215])).
% 0.20/0.46 % SZS output end CNFRefutation for theBenchmark.p
% 0.20/0.47 % Elapsed time: 0.119321 seconds
% 0.20/0.47 % CPU time: 0.820395 seconds
% 0.20/0.47 % Memory used: 39.553 MB
%------------------------------------------------------------------------------