TSTP Solution File: LCL026-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : LCL026-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n028.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 40.07s 5.45s
% Output : CNFRefutation 40.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : LCL026-1 : TPTP v8.1.2. Released v1.0.0.
% 0.04/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n028.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 20:39:14 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.6.0
% 40.07/5.45 % Refutation found
% 40.07/5.45 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 40.07/5.45 % SZS output start CNFRefutation for theBenchmark
% 40.07/5.45 fof(f1,axiom,(
% 40.07/5.45 (![X,Y]: (( ~ is_a_theorem(implies(X,Y))| ~ is_a_theorem(X)| is_a_theorem(Y) ) ))),
% 40.07/5.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 40.07/5.45 fof(f2,axiom,(
% 40.07/5.45 (![X,Y]: (is_a_theorem(implies(X,implies(Y,X))) ))),
% 40.07/5.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 40.07/5.45 fof(f3,axiom,(
% 40.07/5.45 (![X]: (is_a_theorem(implies(implies(implies(X,falsehood),falsehood),X)) ))),
% 40.07/5.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 40.07/5.45 fof(f4,axiom,(
% 40.07/5.45 (![X,Y,Z]: (is_a_theorem(implies(implies(X,implies(Y,Z)),implies(implies(X,Y),implies(X,Z)))) ))),
% 40.07/5.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 40.07/5.45 fof(f5,negated_conjecture,(
% 40.07/5.45 ~ is_a_theorem(implies(implies(implies(a,b),a),a)) ),
% 40.07/5.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 40.07/5.45 fof(f6,plain,(
% 40.07/5.45 ![Y]: ((![X]: (~is_a_theorem(implies(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 40.07/5.45 inference(miniscoping,[status(esa)],[f1])).
% 40.07/5.45 fof(f7,plain,(
% 40.07/5.45 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 40.07/5.45 inference(cnf_transformation,[status(esa)],[f6])).
% 40.07/5.45 fof(f8,plain,(
% 40.07/5.45 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X0))))),
% 40.07/5.45 inference(cnf_transformation,[status(esa)],[f2])).
% 40.07/5.45 fof(f9,plain,(
% 40.07/5.45 ![X0]: (is_a_theorem(implies(implies(implies(X0,falsehood),falsehood),X0)))),
% 40.07/5.45 inference(cnf_transformation,[status(esa)],[f3])).
% 40.07/5.45 fof(f10,plain,(
% 40.07/5.45 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(X0,X1),implies(X0,X2)))))),
% 40.07/5.45 inference(cnf_transformation,[status(esa)],[f4])).
% 40.07/5.45 fof(f11,plain,(
% 40.07/5.45 ~is_a_theorem(implies(implies(implies(a,b),a),a))),
% 40.07/5.45 inference(cnf_transformation,[status(esa)],[f5])).
% 40.07/5.45 fof(f12,plain,(
% 40.07/5.45 ![X0,X1]: (~is_a_theorem(X0)|is_a_theorem(implies(X1,X0)))),
% 40.07/5.45 inference(resolution,[status(thm)],[f7,f8])).
% 40.07/5.45 fof(f13,plain,(
% 40.07/5.45 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(X1,implies(X2,X1)))))),
% 40.07/5.45 inference(resolution,[status(thm)],[f12,f8])).
% 40.07/5.45 fof(f17,plain,(
% 40.07/5.45 spl0_1 <=> is_a_theorem(implies(X1,implies(X2,X1)))),
% 40.07/5.45 introduced(split_symbol_definition)).
% 40.07/5.45 fof(f18,plain,(
% 40.07/5.45 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X0)))|~spl0_1)),
% 40.07/5.45 inference(component_clause,[status(thm)],[f17])).
% 40.07/5.45 fof(f40,plain,(
% 40.07/5.45 ![X0,X1,X2]: (~is_a_theorem(implies(X0,implies(X1,X2)))|is_a_theorem(implies(implies(X0,X1),implies(X0,X2))))),
% 40.07/5.45 inference(resolution,[status(thm)],[f10,f7])).
% 40.07/5.45 fof(f41,plain,(
% 40.07/5.45 ![X0,X1,X2,X3]: (is_a_theorem(implies(X0,implies(implies(X1,implies(X2,X3)),implies(implies(X1,X2),implies(X1,X3))))))),
% 40.07/5.45 inference(resolution,[status(thm)],[f10,f12])).
% 40.07/5.45 fof(f48,plain,(
% 40.07/5.45 ![X0,X1,X2]: (~is_a_theorem(implies(X0,implies(X1,X2)))|~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(X0,X2)))),
% 40.07/5.45 inference(resolution,[status(thm)],[f40,f7])).
% 40.07/5.45 fof(f49,plain,(
% 40.07/5.45 ![X0,X1,X2,X3]: (~is_a_theorem(implies(X0,implies(X1,X2)))|is_a_theorem(implies(X3,implies(implies(X0,X1),implies(X0,X2)))))),
% 40.07/5.45 inference(resolution,[status(thm)],[f40,f12])).
% 40.07/5.45 fof(f68,plain,(
% 40.07/5.45 ![X0]: (~is_a_theorem(implies(implies(X0,falsehood),falsehood))|is_a_theorem(X0))),
% 40.07/5.45 inference(resolution,[status(thm)],[f9,f7])).
% 40.07/5.45 fof(f69,plain,(
% 40.07/5.45 ![X0,X1]: (is_a_theorem(implies(X0,implies(implies(implies(X1,falsehood),falsehood),X1))))),
% 40.07/5.45 inference(resolution,[status(thm)],[f9,f12])).
% 40.07/5.45 fof(f70,plain,(
% 40.07/5.45 is_a_theorem(implies(falsehood,falsehood))),
% 40.07/5.45 inference(resolution,[status(thm)],[f68,f9])).
% 40.07/5.45 fof(f78,plain,(
% 40.07/5.45 ![X0]: (is_a_theorem(implies(X0,implies(falsehood,falsehood))))),
% 40.07/5.45 inference(resolution,[status(thm)],[f70,f12])).
% 40.07/5.45 fof(f357,plain,(
% 40.07/5.45 ![X0]: (is_a_theorem(implies(implies(X0,falsehood),implies(X0,falsehood))))),
% 40.07/5.45 inference(resolution,[status(thm)],[f40,f78])).
% 40.07/5.45 fof(f358,plain,(
% 40.07/5.45 ![X0,X1]: (is_a_theorem(implies(implies(X0,implies(implies(X1,falsehood),falsehood)),implies(X0,X1))))),
% 40.07/5.45 inference(resolution,[status(thm)],[f40,f69])).
% 40.07/5.45 fof(f363,plain,(
% 40.07/5.45 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(X0,implies(X2,X1)))))),
% 40.07/5.45 inference(resolution,[status(thm)],[f40,f13])).
% 40.07/5.45 fof(f372,plain,(
% 40.07/5.45 ![X0,X1]: (is_a_theorem(implies(implies(implies(implies(implies(X0,X1),falsehood),falsehood),X0),implies(implies(implies(implies(X0,X1),falsehood),falsehood),X1))))),
% 40.07/5.45 inference(resolution,[status(thm)],[f9,f40])).
% 40.07/5.45 fof(f380,plain,(
% 40.07/5.45 ![X0]: (is_a_theorem(implies(implies(implies(X0,falsehood),X0),implies(implies(X0,falsehood),falsehood))))),
% 40.07/5.45 inference(resolution,[status(thm)],[f357,f40])).
% 40.07/5.45 fof(f385,plain,(
% 40.07/5.45 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(X0,implies(X2,X1))))),
% 40.07/5.45 inference(resolution,[status(thm)],[f363,f7])).
% 40.07/5.45 fof(f389,plain,(
% 40.07/5.45 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(X0,X1),implies(X2,implies(X0,implies(X3,X1))))))),
% 40.07/5.45 inference(resolution,[status(thm)],[f385,f363])).
% 40.07/5.45 fof(f484,plain,(
% 40.07/5.45 ![X0,X1,X2,X3]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(X2,implies(X0,implies(X3,X1)))))),
% 40.07/5.45 inference(resolution,[status(thm)],[f389,f7])).
% 40.07/5.45 fof(f490,plain,(
% 40.07/5.45 ![X0,X1,X2,X3]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(implies(X2,X0),implies(X2,implies(X3,X1)))))),
% 40.07/5.45 inference(resolution,[status(thm)],[f484,f40])).
% 40.07/5.45 fof(f519,plain,(
% 40.07/5.45 ![X0,X1]: (~is_a_theorem(implies(X0,implies(implies(X1,falsehood),falsehood)))|is_a_theorem(implies(X0,X1)))),
% 40.07/5.45 inference(resolution,[status(thm)],[f358,f7])).
% 40.07/5.45 fof(f522,plain,(
% 40.07/5.45 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(X0,implies(X1,implies(X2,X3))),implies(X0,implies(implies(X1,X2),implies(X1,X3))))))),
% 40.07/5.45 inference(resolution,[status(thm)],[f41,f40])).
% 40.07/5.45 fof(f531,plain,(
% 40.07/5.45 ![X0,X1,X2,X3]: (~is_a_theorem(implies(X0,implies(X1,X2)))|is_a_theorem(implies(implies(X3,implies(X0,X1)),implies(X3,implies(X0,X2)))))),
% 40.07/5.45 inference(resolution,[status(thm)],[f49,f40])).
% 40.07/5.45 fof(f542,plain,(
% 40.07/5.45 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,X1),X0))|is_a_theorem(implies(implies(X0,X1),implies(X2,X1))))),
% 40.07/5.45 inference(resolution,[status(thm)],[f48,f363])).
% 40.07/5.45 fof(f633,plain,(
% 40.07/5.45 spl0_55 <=> ~is_a_theorem(implies(X0,X1))|~is_a_theorem(X0)),
% 40.07/5.45 introduced(split_symbol_definition)).
% 40.07/5.45 fof(f634,plain,(
% 40.07/5.45 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(X0)|~spl0_55)),
% 40.07/5.45 inference(component_clause,[status(thm)],[f633])).
% 40.07/5.45 fof(f1003,plain,(
% 40.07/5.45 ![X0]: (is_a_theorem(implies(falsehood,X0))|~spl0_1)),
% 40.07/5.45 inference(resolution,[status(thm)],[f519,f18])).
% 40.07/5.45 fof(f1060,plain,(
% 40.07/5.45 ![X0]: (is_a_theorem(implies(implies(implies(implies(implies(X0,falsehood),falsehood),falsehood),X0),implies(implies(X0,falsehood),falsehood))))),
% 40.07/5.45 inference(resolution,[status(thm)],[f372,f519])).
% 40.07/5.45 fof(f1120,plain,(
% 40.07/5.45 ![X0]: (is_a_theorem(implies(implies(implies(X0,falsehood),X0),X0)))),
% 40.07/5.45 inference(resolution,[status(thm)],[f380,f519])).
% 40.07/5.45 fof(f1148,plain,(
% 40.07/5.45 ![X0,X1]: (is_a_theorem(implies(X0,implies(implies(implies(X1,falsehood),X1),X1))))),
% 40.07/5.45 inference(resolution,[status(thm)],[f1120,f12])).
% 40.07/5.45 fof(f1226,plain,(
% 40.07/5.45 ![X0,X1]: (~is_a_theorem(implies(X0,implies(implies(X1,falsehood),X1)))|is_a_theorem(implies(X0,X1)))),
% 40.07/5.45 inference(resolution,[status(thm)],[f1148,f48])).
% 40.07/5.45 fof(f1489,plain,(
% 40.07/5.45 ![X0,X1]: (is_a_theorem(implies(X0,implies(falsehood,X1)))|~spl0_1)),
% 40.07/5.45 inference(resolution,[status(thm)],[f1003,f12])).
% 40.07/5.45 fof(f1509,plain,(
% 40.07/5.45 ![X0,X1]: (is_a_theorem(implies(implies(X0,falsehood),implies(X0,X1)))|~spl0_1)),
% 40.07/5.45 inference(resolution,[status(thm)],[f1489,f40])).
% 40.07/5.45 fof(f2139,plain,(
% 40.07/5.45 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(X0,implies(X1,X0)),X2),implies(X3,X2))))),
% 40.07/5.45 inference(resolution,[status(thm)],[f542,f13])).
% 40.07/5.45 fof(f2152,plain,(
% 40.07/5.45 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,implies(X1,X0)),X2),X2)))),
% 40.07/5.45 inference(resolution,[status(thm)],[f2139,f1226])).
% 40.07/5.45 fof(f2198,plain,(
% 40.07/5.45 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,implies(X1,X0)),X2))|is_a_theorem(X2))),
% 40.07/5.45 inference(resolution,[status(thm)],[f2152,f7])).
% 40.07/5.45 fof(f2202,plain,(
% 40.07/5.45 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1)))))),
% 40.07/5.45 inference(resolution,[status(thm)],[f2198,f522])).
% 40.07/5.45 fof(f2203,plain,(
% 40.07/5.45 ![X0,X1,X2,X3]: (is_a_theorem(implies(X0,implies(X1,X2)))|~is_a_theorem(implies(implies(X3,X0),X2)))),
% 40.07/5.45 inference(resolution,[status(thm)],[f2198,f490])).
% 40.07/5.45 fof(f2336,plain,(
% 40.07/5.45 ![X0,X1,X2]: (~is_a_theorem(implies(X0,implies(X1,X2)))|is_a_theorem(implies(X1,implies(X0,X2))))),
% 40.55/5.48 inference(resolution,[status(thm)],[f531,f2198])).
% 40.55/5.48 fof(f2826,plain,(
% 40.55/5.48 ![X0,X1]: (~is_a_theorem(implies(X0,implies(implies(X1,falsehood),falsehood)))|~spl0_55)),
% 40.55/5.48 inference(resolution,[status(thm)],[f634,f358])).
% 40.55/5.48 fof(f2916,plain,(
% 40.55/5.48 $false|~spl0_55),
% 40.55/5.48 inference(backward_subsumption_resolution,[status(thm)],[f1060,f2826])).
% 40.55/5.48 fof(f2917,plain,(
% 40.55/5.48 ~spl0_55),
% 40.55/5.48 inference(contradiction_clause,[status(thm)],[f2916])).
% 40.55/5.48 fof(f2975,plain,(
% 40.55/5.48 ![X0,X1,X2]: (~is_a_theorem(implies(X0,implies(implies(X1,X0),X2)))|is_a_theorem(implies(X0,X2)))),
% 40.55/5.48 inference(resolution,[status(thm)],[f40,f2198])).
% 40.55/5.48 fof(f3504,plain,(
% 40.55/5.48 ![X0,X1,X2]: (~is_a_theorem(implies(X0,implies(X1,X2)))|~is_a_theorem(X1)|is_a_theorem(implies(X0,X2)))),
% 40.55/5.48 inference(resolution,[status(thm)],[f2336,f7])).
% 40.55/5.48 fof(f3608,plain,(
% 40.55/5.48 ![X0,X1,X2]: (is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(implies(X2,X0),implies(X0,X1))))),
% 40.55/5.48 inference(resolution,[status(thm)],[f2975,f2336])).
% 40.55/5.48 fof(f3752,plain,(
% 40.55/5.48 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(implies(X1,X2),implies(X0,X2))))),
% 40.55/5.48 inference(resolution,[status(thm)],[f3504,f2202])).
% 40.55/5.48 fof(f3996,plain,(
% 40.55/5.48 ![X0,X1,X2,X3]: (is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(implies(X2,implies(X3,X0)),X1)))),
% 40.55/5.48 inference(resolution,[status(thm)],[f3608,f2203])).
% 40.55/5.48 fof(f4129,plain,(
% 40.55/5.48 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(X0)|is_a_theorem(implies(implies(X1,X2),X2)))),
% 40.55/5.48 inference(resolution,[status(thm)],[f3752,f3504])).
% 40.55/5.48 fof(f5079,plain,(
% 40.55/5.48 ![X0,X1,X2,X3]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(X0)|is_a_theorem(implies(X2,implies(X3,X2))))),
% 40.55/5.48 inference(resolution,[status(thm)],[f4129,f3996])).
% 40.55/5.48 fof(f5080,plain,(
% 40.55/5.48 spl0_55|spl0_1),
% 40.55/5.48 inference(split_clause,[status(thm)],[f5079,f633,f17])).
% 40.55/5.48 fof(f5369,plain,(
% 40.55/5.48 ![X0,X1]: (is_a_theorem(implies(implies(X0,X1),X1))|~is_a_theorem(implies(implies(X1,falsehood),X0)))),
% 40.55/5.48 inference(resolution,[status(thm)],[f1226,f3752])).
% 40.55/5.48 fof(f6003,plain,(
% 40.55/5.48 ![X0,X1]: (is_a_theorem(implies(implies(implies(X0,X1),X0),X0))|~spl0_1)),
% 40.55/5.48 inference(resolution,[status(thm)],[f5369,f1509])).
% 40.55/5.48 fof(f6046,plain,(
% 40.55/5.48 $false|~spl0_1),
% 40.55/5.48 inference(backward_subsumption_resolution,[status(thm)],[f11,f6003])).
% 40.55/5.48 fof(f6047,plain,(
% 40.55/5.48 ~spl0_1),
% 40.55/5.48 inference(contradiction_clause,[status(thm)],[f6046])).
% 40.55/5.48 fof(f6048,plain,(
% 40.55/5.48 $false),
% 40.55/5.48 inference(sat_refutation,[status(thm)],[f2917,f5080,f6047])).
% 40.55/5.48 % SZS output end CNFRefutation for theBenchmark.p
% 41.31/5.58 % Elapsed time: 5.219833 seconds
% 41.31/5.58 % CPU time: 41.179060 seconds
% 41.31/5.58 % Total memory used: 782.396 MB
% 41.31/5.58 % Net memory used: 714.816 MB
%------------------------------------------------------------------------------