TSTP Solution File: LCL115-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : LCL115-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n002.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 12:18:19 EDT 2023
% Result : Unsatisfiable 0.19s 0.56s
% Output : CNFRefutation 1.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL115-1 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n002.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 09:52:58 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.5.1
% 0.19/0.56 % Refutation found
% 0.19/0.56 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.19/0.56 % SZS output start CNFRefutation for theBenchmark
% 0.19/0.56 fof(f1,axiom,(
% 0.19/0.56 (![X,Y]: (( ~ is_a_theorem(implies(X,Y))| ~ is_a_theorem(X)| is_a_theorem(Y) ) ))),
% 0.19/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.56 fof(f2,axiom,(
% 0.19/0.56 (![X,Y]: (is_a_theorem(implies(X,implies(Y,X))) ))),
% 0.19/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.56 fof(f3,axiom,(
% 0.19/0.56 (![X,Y,Z]: (is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))) ))),
% 0.19/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.56 fof(f4,axiom,(
% 0.19/0.56 (![X,Y]: (is_a_theorem(implies(implies(implies(X,Y),Y),implies(implies(Y,X),X))) ))),
% 0.19/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.56 fof(f5,axiom,(
% 0.19/0.56 (![X,Y]: (is_a_theorem(implies(implies(not(X),not(Y)),implies(Y,X))) ))),
% 0.19/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.56 fof(f6,negated_conjecture,(
% 0.19/0.56 ~ is_a_theorem(implies(not(implies(a,b)),not(b))) ),
% 0.19/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.56 fof(f7,plain,(
% 0.19/0.56 ![Y]: ((![X]: (~is_a_theorem(implies(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 0.19/0.56 inference(miniscoping,[status(esa)],[f1])).
% 0.19/0.56 fof(f8,plain,(
% 0.19/0.56 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 0.19/0.56 inference(cnf_transformation,[status(esa)],[f7])).
% 0.19/0.56 fof(f9,plain,(
% 0.19/0.56 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X0))))),
% 0.19/0.56 inference(cnf_transformation,[status(esa)],[f2])).
% 0.19/0.56 fof(f10,plain,(
% 0.19/0.56 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))))),
% 0.19/0.56 inference(cnf_transformation,[status(esa)],[f3])).
% 0.19/0.56 fof(f11,plain,(
% 0.19/0.56 ![X0,X1]: (is_a_theorem(implies(implies(implies(X0,X1),X1),implies(implies(X1,X0),X0))))),
% 0.19/0.56 inference(cnf_transformation,[status(esa)],[f4])).
% 0.19/0.56 fof(f12,plain,(
% 0.19/0.56 ![X0,X1]: (is_a_theorem(implies(implies(not(X0),not(X1)),implies(X1,X0))))),
% 0.19/0.56 inference(cnf_transformation,[status(esa)],[f5])).
% 0.19/0.56 fof(f13,plain,(
% 0.19/0.56 ~is_a_theorem(implies(not(implies(a,b)),not(b)))),
% 0.19/0.56 inference(cnf_transformation,[status(esa)],[f6])).
% 0.19/0.56 fof(f14,plain,(
% 0.19/0.56 ![X0,X1]: (~is_a_theorem(X0)|is_a_theorem(implies(X1,X0)))),
% 0.19/0.56 inference(resolution,[status(thm)],[f8,f9])).
% 0.19/0.56 fof(f15,plain,(
% 0.19/0.56 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(X1,implies(X2,X1)))))),
% 0.19/0.56 inference(resolution,[status(thm)],[f14,f9])).
% 0.19/0.56 fof(f16,plain,(
% 0.19/0.56 spl0_0 <=> ~is_a_theorem(X0)),
% 0.19/0.56 introduced(split_symbol_definition)).
% 0.19/0.56 fof(f17,plain,(
% 0.19/0.56 ![X0]: (~is_a_theorem(X0)|~spl0_0)),
% 0.19/0.56 inference(component_clause,[status(thm)],[f16])).
% 0.19/0.56 fof(f25,plain,(
% 0.19/0.56 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(implies(X1,X2),implies(X0,X2))))),
% 0.19/0.56 inference(resolution,[status(thm)],[f10,f8])).
% 0.19/0.56 fof(f33,plain,(
% 0.19/0.56 ![X0,X1]: (~is_a_theorem(implies(not(X0),not(X1)))|is_a_theorem(implies(X1,X0)))),
% 0.19/0.56 inference(resolution,[status(thm)],[f12,f8])).
% 0.19/0.56 fof(f34,plain,(
% 0.19/0.56 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(implies(not(X1),not(X2)),implies(X2,X1)))))),
% 0.19/0.56 inference(resolution,[status(thm)],[f12,f14])).
% 0.19/0.56 fof(f35,plain,(
% 0.19/0.56 ![X0,X1]: (~is_a_theorem(implies(implies(X0,X1),X1))|is_a_theorem(implies(implies(X1,X0),X0)))),
% 0.19/0.56 inference(resolution,[status(thm)],[f11,f8])).
% 0.19/0.56 fof(f36,plain,(
% 0.19/0.56 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X2),implies(implies(X2,X1),X1)))))),
% 0.19/0.56 inference(resolution,[status(thm)],[f11,f14])).
% 0.19/0.56 fof(f38,plain,(
% 0.19/0.56 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(not(X1),not(X0)),X2))))),
% 0.19/0.56 inference(resolution,[status(thm)],[f25,f12])).
% 0.19/0.56 fof(f42,plain,(
% 0.19/0.56 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))))),
% 0.19/0.56 inference(resolution,[status(thm)],[f25,f9])).
% 0.19/0.56 fof(f44,plain,(
% 0.19/0.56 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,X1),X2))|is_a_theorem(implies(X1,X2)))),
% 0.19/0.56 inference(resolution,[status(thm)],[f42,f8])).
% 0.19/0.56 fof(f46,plain,(
% 0.19/0.56 ![X0,X1]: (is_a_theorem(implies(X0,implies(implies(X0,X1),X1))))),
% 0.19/0.56 inference(resolution,[status(thm)],[f44,f11])).
% 0.19/0.56 fof(f48,plain,(
% 0.19/0.56 ![X0,X1]: (is_a_theorem(implies(not(X0),implies(X0,X1))))),
% 0.19/0.56 inference(resolution,[status(thm)],[f44,f12])).
% 0.19/0.56 fof(f53,plain,(
% 0.19/0.56 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X1),X2),implies(not(X0),X2))))),
% 0.19/0.56 inference(resolution,[status(thm)],[f48,f25])).
% 0.19/0.56 fof(f55,plain,(
% 0.19/0.56 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(not(X1),implies(X1,X2)))))),
% 0.19/0.56 inference(resolution,[status(thm)],[f48,f14])).
% 0.19/0.56 fof(f58,plain,(
% 0.19/0.56 ![X0,X1]: (~is_a_theorem(X0)|is_a_theorem(implies(implies(X0,X1),X1)))),
% 0.19/0.56 inference(resolution,[status(thm)],[f46,f8])).
% 0.19/0.56 fof(f61,plain,(
% 0.19/0.56 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,implies(X1,X0)),X2),X2)))),
% 0.19/0.56 inference(resolution,[status(thm)],[f35,f15])).
% 0.19/0.56 fof(f100,plain,(
% 0.19/0.56 spl0_4 <=> is_a_theorem(implies(not(X1),implies(X1,X2)))),
% 0.19/0.56 introduced(split_symbol_definition)).
% 0.19/0.56 fof(f101,plain,(
% 0.19/0.56 ![X0,X1]: (is_a_theorem(implies(not(X0),implies(X0,X1)))|~spl0_4)),
% 0.19/0.56 inference(component_clause,[status(thm)],[f100])).
% 0.19/0.56 fof(f103,plain,(
% 0.19/0.56 ![X0,X1,X2]: (~is_a_theorem(X0)|is_a_theorem(implies(not(X1),implies(X1,X2))))),
% 0.19/0.56 inference(resolution,[status(thm)],[f55,f8])).
% 0.19/0.56 fof(f104,plain,(
% 0.19/0.56 spl0_0|spl0_4),
% 0.19/0.57 inference(split_clause,[status(thm)],[f103,f16,f100])).
% 0.19/0.57 fof(f132,plain,(
% 0.19/0.57 ![X0]: (is_a_theorem(implies(X0,X0)))),
% 0.19/0.57 inference(resolution,[status(thm)],[f61,f44])).
% 0.19/0.57 fof(f142,plain,(
% 0.19/0.57 ![X0,X1]: (is_a_theorem(implies(implies(implies(X0,X0),X1),X1)))),
% 0.19/0.57 inference(resolution,[status(thm)],[f132,f58])).
% 0.19/0.57 fof(f195,plain,(
% 0.19/0.57 spl0_8 <=> is_a_theorem(implies(implies(not(X1),not(X2)),implies(X2,X1)))),
% 0.19/0.57 introduced(split_symbol_definition)).
% 0.19/0.57 fof(f196,plain,(
% 0.19/0.57 ![X0,X1]: (is_a_theorem(implies(implies(not(X0),not(X1)),implies(X1,X0)))|~spl0_8)),
% 0.19/0.57 inference(component_clause,[status(thm)],[f195])).
% 0.19/0.57 fof(f198,plain,(
% 0.19/0.57 ![X0,X1,X2]: (~is_a_theorem(X0)|is_a_theorem(implies(implies(not(X1),not(X2)),implies(X2,X1))))),
% 0.19/0.57 inference(resolution,[status(thm)],[f34,f8])).
% 0.19/0.57 fof(f199,plain,(
% 0.19/0.57 spl0_0|spl0_8),
% 0.19/0.57 inference(split_clause,[status(thm)],[f198,f16,f195])).
% 0.19/0.57 fof(f207,plain,(
% 0.19/0.57 spl0_9 <=> is_a_theorem(implies(implies(implies(X1,X2),X2),implies(implies(X2,X1),X1)))),
% 0.19/0.57 introduced(split_symbol_definition)).
% 0.19/0.57 fof(f208,plain,(
% 0.19/0.57 ![X0,X1]: (is_a_theorem(implies(implies(implies(X0,X1),X1),implies(implies(X1,X0),X0)))|~spl0_9)),
% 0.19/0.57 inference(component_clause,[status(thm)],[f207])).
% 0.19/0.57 fof(f210,plain,(
% 0.19/0.57 ![X0,X1,X2]: (~is_a_theorem(X0)|is_a_theorem(implies(implies(implies(X1,X2),X2),implies(implies(X2,X1),X1))))),
% 0.19/0.57 inference(resolution,[status(thm)],[f36,f8])).
% 0.19/0.57 fof(f211,plain,(
% 0.19/0.57 spl0_0|spl0_9),
% 0.19/0.57 inference(split_clause,[status(thm)],[f210,f16,f207])).
% 0.19/0.57 fof(f222,plain,(
% 0.19/0.57 $false|~spl0_0),
% 0.19/0.57 inference(backward_subsumption_resolution,[status(thm)],[f48,f17])).
% 0.19/0.57 fof(f223,plain,(
% 0.19/0.57 ~spl0_0),
% 0.19/0.57 inference(contradiction_clause,[status(thm)],[f222])).
% 0.19/0.57 fof(f661,plain,(
% 0.19/0.57 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X1),X2),implies(not(X0),X2)))|~spl0_4)),
% 0.19/0.57 inference(resolution,[status(thm)],[f25,f101])).
% 0.19/0.57 fof(f735,plain,(
% 0.19/0.57 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,X1),X2))|is_a_theorem(implies(not(X0),X2))|~spl0_4)),
% 0.19/0.57 inference(resolution,[status(thm)],[f661,f8])).
% 0.19/0.57 fof(f799,plain,(
% 0.19/0.57 ![X0,X1]: (is_a_theorem(implies(not(not(X0)),implies(X1,X0)))|~spl0_4|~spl0_8)),
% 0.19/0.57 inference(resolution,[status(thm)],[f735,f196])).
% 0.19/0.57 fof(f839,plain,(
% 0.19/0.57 spl0_29 <=> is_a_theorem(X1)),
% 0.19/0.57 introduced(split_symbol_definition)).
% 0.19/0.57 fof(f840,plain,(
% 0.19/0.57 ![X0]: (is_a_theorem(X0)|~spl0_29)),
% 0.19/0.57 inference(component_clause,[status(thm)],[f839])).
% 0.19/0.57 fof(f849,plain,(
% 0.19/0.57 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X1),X2),implies(not(not(X1)),X2)))|~spl0_4|~spl0_8)),
% 0.19/0.57 inference(resolution,[status(thm)],[f799,f25])).
% 0.19/0.57 fof(f867,plain,(
% 0.19/0.57 $false|~spl0_29),
% 0.19/0.57 inference(backward_subsumption_resolution,[status(thm)],[f13,f840])).
% 0.19/0.57 fof(f868,plain,(
% 0.19/0.57 ~spl0_29),
% 0.19/0.57 inference(contradiction_clause,[status(thm)],[f867])).
% 0.19/0.57 fof(f1120,plain,(
% 0.19/0.57 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,X1),X2))|is_a_theorem(implies(implies(not(X1),not(X0)),X2)))),
% 0.19/0.57 inference(resolution,[status(thm)],[f38,f8])).
% 0.19/0.57 fof(f1318,plain,(
% 0.19/0.57 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,X1),X2))|is_a_theorem(implies(not(X0),X2)))),
% 0.19/0.57 inference(resolution,[status(thm)],[f53,f8])).
% 0.19/0.57 fof(f3713,plain,(
% 0.19/0.57 ![X0,X1]: (is_a_theorem(implies(implies(not(X0),not(implies(X1,X0))),implies(implies(X0,X1),X1)))|~spl0_9)),
% 1.58/0.58 inference(resolution,[status(thm)],[f1120,f208])).
% 1.58/0.58 fof(f3717,plain,(
% 1.58/0.58 ![X0,X1]: (is_a_theorem(implies(implies(not(X0),not(implies(X1,X1))),X0)))),
% 1.58/0.58 inference(resolution,[status(thm)],[f1120,f142])).
% 1.58/0.58 fof(f4278,plain,(
% 1.58/0.58 ![X0,X1]: (is_a_theorem(implies(not(not(X0)),implies(implies(X0,X1),X1)))|~spl0_9)),
% 1.58/0.58 inference(resolution,[status(thm)],[f3713,f1318])).
% 1.58/0.58 fof(f4316,plain,(
% 1.58/0.58 ![X0,X1]: (~is_a_theorem(not(not(X0)))|is_a_theorem(implies(implies(X0,X1),X1))|~spl0_9)),
% 1.58/0.58 inference(resolution,[status(thm)],[f4278,f8])).
% 1.58/0.58 fof(f4490,plain,(
% 1.58/0.58 ![X0]: (is_a_theorem(implies(not(not(X0)),X0)))),
% 1.58/0.58 inference(resolution,[status(thm)],[f3717,f1318])).
% 1.58/0.58 fof(f4508,plain,(
% 1.58/0.58 ![X0]: (is_a_theorem(implies(X0,not(not(X0)))))),
% 1.58/0.58 inference(resolution,[status(thm)],[f4490,f33])).
% 1.58/0.58 fof(f4540,plain,(
% 1.58/0.58 ![X0]: (~is_a_theorem(X0)|is_a_theorem(not(not(X0))))),
% 1.58/0.58 inference(resolution,[status(thm)],[f4508,f8])).
% 1.58/0.58 fof(f4754,plain,(
% 1.58/0.58 ![X0]: (is_a_theorem(not(not(implies(X0,not(not(X0)))))))),
% 1.58/0.58 inference(resolution,[status(thm)],[f4540,f4508])).
% 1.58/0.58 fof(f5491,plain,(
% 1.58/0.58 ![X0,X1]: (is_a_theorem(implies(implies(implies(X0,not(not(X0))),X1),X1))|~spl0_9)),
% 1.58/0.58 inference(resolution,[status(thm)],[f4754,f4316])).
% 1.58/0.58 fof(f6160,plain,(
% 1.58/0.58 ![X0,X1]: (~is_a_theorem(implies(implies(X0,not(not(X0))),X1))|is_a_theorem(X1)|~spl0_9)),
% 1.58/0.58 inference(resolution,[status(thm)],[f5491,f8])).
% 1.58/0.58 fof(f7890,plain,(
% 1.58/0.58 ![X0,X1]: (is_a_theorem(implies(not(not(X0)),not(not(implies(X1,X0)))))|~spl0_9|~spl0_4|~spl0_8)),
% 1.58/0.58 inference(resolution,[status(thm)],[f6160,f849])).
% 1.58/0.58 fof(f11098,plain,(
% 1.58/0.58 ![X0,X1]: (is_a_theorem(implies(not(implies(X0,X1)),not(X1)))|~spl0_9|~spl0_4|~spl0_8)),
% 1.58/0.58 inference(resolution,[status(thm)],[f7890,f33])).
% 1.58/0.58 fof(f11129,plain,(
% 1.58/0.58 $false|~spl0_9|~spl0_4|~spl0_8),
% 1.58/0.58 inference(backward_subsumption_resolution,[status(thm)],[f13,f11098])).
% 1.58/0.58 fof(f11130,plain,(
% 1.58/0.58 ~spl0_9|~spl0_4|~spl0_8),
% 1.58/0.58 inference(contradiction_clause,[status(thm)],[f11129])).
% 1.58/0.58 fof(f11131,plain,(
% 1.58/0.58 $false),
% 1.58/0.58 inference(sat_refutation,[status(thm)],[f104,f199,f211,f223,f868,f11130])).
% 1.58/0.58 % SZS output end CNFRefutation for theBenchmark.p
% 1.58/0.58 % Elapsed time: 0.233002 seconds
% 1.58/0.58 % CPU time: 1.719013 seconds
% 1.58/0.58 % Memory used: 60.990 MB
%------------------------------------------------------------------------------