TSTP Solution File: LCL402-1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : LCL402-1 : TPTP v8.1.2. Released v2.3.0.
% 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 20:27:06 EDT 2024
% Result : Unsatisfiable 7.26s 1.36s
% Output : CNFRefutation 8.06s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : LCL402-1 : TPTP v8.1.2. Released v2.3.0.
% 0.10/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n012.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Apr 29 20:20:57 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % Drodi V3.6.0
% 7.26/1.36 % Refutation found
% 7.26/1.36 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 7.26/1.36 % SZS output start CNFRefutation for theBenchmark
% 7.26/1.36 fof(f1,axiom,(
% 7.26/1.36 (![X,Y]: (( ~ is_a_theorem(implies(X,Y))| ~ is_a_theorem(X)| is_a_theorem(Y) ) ))),
% 7.26/1.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.26/1.36 fof(f2,axiom,(
% 7.26/1.36 (![X,Y,Z]: (is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))) ))),
% 7.26/1.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.26/1.36 fof(f3,axiom,(
% 7.26/1.36 (![X]: (is_a_theorem(implies(implies(not(X),X),X)) ))),
% 7.26/1.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.26/1.36 fof(f4,axiom,(
% 7.26/1.36 (![X,Y]: (is_a_theorem(implies(X,implies(not(X),Y))) ))),
% 7.26/1.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.26/1.36 fof(f5,negated_conjecture,(
% 7.26/1.36 ~ is_a_theorem(implies(not(implies(x,not(y))),y)) ),
% 7.26/1.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.26/1.36 fof(f6,plain,(
% 7.26/1.36 ![Y]: ((![X]: (~is_a_theorem(implies(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 7.26/1.36 inference(miniscoping,[status(esa)],[f1])).
% 7.26/1.36 fof(f7,plain,(
% 7.26/1.36 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 7.26/1.36 inference(cnf_transformation,[status(esa)],[f6])).
% 7.26/1.36 fof(f8,plain,(
% 7.26/1.36 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))))),
% 7.26/1.36 inference(cnf_transformation,[status(esa)],[f2])).
% 7.26/1.36 fof(f9,plain,(
% 7.26/1.36 ![X0]: (is_a_theorem(implies(implies(not(X0),X0),X0)))),
% 7.26/1.36 inference(cnf_transformation,[status(esa)],[f3])).
% 7.26/1.36 fof(f10,plain,(
% 7.26/1.36 ![X0,X1]: (is_a_theorem(implies(X0,implies(not(X0),X1))))),
% 7.26/1.36 inference(cnf_transformation,[status(esa)],[f4])).
% 7.26/1.36 fof(f11,plain,(
% 7.26/1.36 ~is_a_theorem(implies(not(implies(x,not(y))),y))),
% 7.26/1.36 inference(cnf_transformation,[status(esa)],[f5])).
% 7.26/1.36 fof(f12,plain,(
% 7.26/1.36 ![X0]: (~is_a_theorem(implies(not(X0),X0))|is_a_theorem(X0))),
% 7.26/1.36 inference(resolution,[status(thm)],[f7,f9])).
% 7.26/1.36 fof(f13,plain,(
% 7.26/1.36 ![X0,X1]: (~is_a_theorem(X0)|is_a_theorem(implies(not(X0),X1)))),
% 7.26/1.36 inference(resolution,[status(thm)],[f7,f10])).
% 7.26/1.36 fof(f14,plain,(
% 7.26/1.36 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(implies(X1,X2),implies(X0,X2))))),
% 7.26/1.36 inference(resolution,[status(thm)],[f8,f7])).
% 7.26/1.36 fof(f24,plain,(
% 7.26/1.36 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(X1,X2))|is_a_theorem(implies(X0,X2)))),
% 7.26/1.36 inference(resolution,[status(thm)],[f14,f7])).
% 7.26/1.36 fof(f27,plain,(
% 7.26/1.36 ![X0,X1]: (~is_a_theorem(implies(not(X0),X1))|~is_a_theorem(implies(X1,X0))|is_a_theorem(X0))),
% 7.26/1.36 inference(resolution,[status(thm)],[f24,f12])).
% 7.26/1.36 fof(f28,plain,(
% 7.26/1.36 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(X1,X2))|~is_a_theorem(X0)|is_a_theorem(X2))),
% 7.26/1.36 inference(resolution,[status(thm)],[f24,f7])).
% 7.26/1.36 fof(f44,plain,(
% 7.26/1.36 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(X0)|is_a_theorem(implies(not(X1),X2)))),
% 7.26/1.36 inference(resolution,[status(thm)],[f28,f10])).
% 7.26/1.36 fof(f71,plain,(
% 7.26/1.36 ![X0,X1,X2]: (~is_a_theorem(X0)|is_a_theorem(implies(not(implies(not(X0),X1)),X2)))),
% 7.26/1.36 inference(resolution,[status(thm)],[f44,f10])).
% 7.26/1.36 fof(f244,plain,(
% 7.26/1.36 spl0_14 <=> ~is_a_theorem(X1)),
% 7.26/1.36 introduced(split_symbol_definition)).
% 7.26/1.36 fof(f245,plain,(
% 7.26/1.36 ![X0]: (~is_a_theorem(X0)|~spl0_14)),
% 7.26/1.36 inference(component_clause,[status(thm)],[f244])).
% 7.26/1.36 fof(f283,plain,(
% 7.26/1.36 ![X0,X1]: (is_a_theorem(implies(implies(X0,X1),implies(implies(not(X0),X0),X1))))),
% 7.26/1.36 inference(resolution,[status(thm)],[f14,f9])).
% 7.26/1.36 fof(f284,plain,(
% 7.26/1.36 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(implies(X2,X0),X3))))),
% 7.26/1.36 inference(resolution,[status(thm)],[f14,f8])).
% 7.26/1.36 fof(f285,plain,(
% 7.26/1.36 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(not(X0),X1),X2),implies(X0,X2))))),
% 7.26/1.36 inference(resolution,[status(thm)],[f14,f10])).
% 7.26/1.36 fof(f299,plain,(
% 7.26/1.36 ![X0,X1,X2]: (~is_a_theorem(implies(implies(not(X0),X1),X2))|is_a_theorem(implies(X0,X2)))),
% 7.26/1.36 inference(resolution,[status(thm)],[f285,f7])).
% 7.26/1.36 fof(f319,plain,(
% 7.26/1.36 ![X0]: (is_a_theorem(implies(X0,X0)))),
% 7.26/1.36 inference(resolution,[status(thm)],[f299,f9])).
% 7.26/1.36 fof(f321,plain,(
% 7.26/1.36 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(implies(X1,X2),implies(not(X0),X2)))))),
% 7.26/1.36 inference(resolution,[status(thm)],[f299,f8])).
% 8.06/1.38 fof(f339,plain,(
% 8.06/1.38 ![X0,X1,X2]: (is_a_theorem(implies(not(implies(not(implies(X0,X0)),X1)),X2)))),
% 8.06/1.38 inference(resolution,[status(thm)],[f319,f71])).
% 8.06/1.38 fof(f340,plain,(
% 8.06/1.38 ![X0,X1]: (is_a_theorem(implies(not(implies(X0,X0)),X1)))),
% 8.06/1.38 inference(resolution,[status(thm)],[f319,f13])).
% 8.06/1.38 fof(f360,plain,(
% 8.06/1.38 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(not(implies(X2,X2)),X1))))),
% 8.06/1.38 inference(resolution,[status(thm)],[f340,f14])).
% 8.06/1.38 fof(f419,plain,(
% 8.06/1.38 ![X0,X1,X2]: (~is_a_theorem(X0)|is_a_theorem(implies(implies(X1,X2),implies(not(X0),X2))))),
% 8.06/1.38 inference(resolution,[status(thm)],[f321,f7])).
% 8.06/1.38 fof(f424,plain,(
% 8.06/1.38 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(not(implies(X1,X1)),X2))))),
% 8.06/1.38 inference(resolution,[status(thm)],[f360,f299])).
% 8.06/1.38 fof(f436,plain,(
% 8.06/1.38 ![X0,X1,X2,X3]: (~is_a_theorem(implies(X0,implies(implies(not(X1),X2),X3)))|is_a_theorem(implies(X0,implies(X1,X3))))),
% 8.06/1.38 inference(resolution,[status(thm)],[f24,f285])).
% 8.06/1.38 fof(f438,plain,(
% 8.06/1.38 ![X0,X1]: (~is_a_theorem(implies(X0,implies(not(X1),X1)))|is_a_theorem(implies(X0,X1)))),
% 8.06/1.38 inference(resolution,[status(thm)],[f24,f9])).
% 8.06/1.38 fof(f583,plain,(
% 8.06/1.38 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X1))))),
% 8.06/1.38 inference(resolution,[status(thm)],[f438,f424])).
% 8.06/1.38 fof(f599,plain,(
% 8.06/1.38 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X0),X1),implies(X2,X1))))),
% 8.06/1.38 inference(resolution,[status(thm)],[f583,f14])).
% 8.06/1.38 fof(f621,plain,(
% 8.06/1.38 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),X3))|is_a_theorem(implies(implies(X2,X0),X3)))),
% 8.06/1.38 inference(resolution,[status(thm)],[f284,f7])).
% 8.06/1.38 fof(f705,plain,(
% 8.06/1.38 ![X0,X1]: (is_a_theorem(implies(implies(implies(X0,X0),X1),X1)))),
% 8.06/1.38 inference(resolution,[status(thm)],[f599,f438])).
% 8.06/1.38 fof(f712,plain,(
% 8.06/1.38 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,X0),X1))|is_a_theorem(implies(X2,X1)))),
% 8.06/1.38 inference(resolution,[status(thm)],[f599,f7])).
% 8.06/1.38 fof(f736,plain,(
% 8.06/1.38 ![X0,X1,X2]: (~is_a_theorem(implies(X0,implies(implies(X1,X1),X2)))|~is_a_theorem(X0)|is_a_theorem(X2))),
% 8.06/1.38 inference(resolution,[status(thm)],[f705,f28])).
% 8.06/1.38 fof(f737,plain,(
% 8.06/1.38 ![X0,X1,X2]: (~is_a_theorem(implies(X0,implies(implies(X1,X1),X2)))|is_a_theorem(implies(X0,X2)))),
% 8.06/1.38 inference(resolution,[status(thm)],[f705,f24])).
% 8.06/1.38 fof(f739,plain,(
% 8.06/1.38 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(implies(implies(X2,X2),X0),X1))))),
% 8.06/1.38 inference(resolution,[status(thm)],[f705,f14])).
% 8.06/1.38 fof(f749,plain,(
% 8.06/1.38 ![X0,X1]: (is_a_theorem(implies(X0,implies(implies(not(X1),X1),X1))))),
% 8.06/1.38 inference(resolution,[status(thm)],[f712,f283])).
% 8.06/1.38 fof(f824,plain,(
% 8.06/1.38 ![X0,X1]: (~is_a_theorem(implies(implies(implies(not(X0),X0),X0),X1))|is_a_theorem(X1))),
% 8.06/1.38 inference(resolution,[status(thm)],[f749,f27])).
% 8.06/1.38 fof(f835,plain,(
% 8.06/1.38 spl0_31 <=> is_a_theorem(implies(implies(not(X2),X2),X2))),
% 8.06/1.38 introduced(split_symbol_definition)).
% 8.06/1.38 fof(f836,plain,(
% 8.06/1.38 ![X0]: (is_a_theorem(implies(implies(not(X0),X0),X0))|~spl0_31)),
% 8.06/1.38 inference(component_clause,[status(thm)],[f835])).
% 8.06/1.38 fof(f848,plain,(
% 8.06/1.38 ![X0,X1]: (~is_a_theorem(X0)|is_a_theorem(implies(implies(not(X1),X1),X1)))),
% 8.06/1.38 inference(resolution,[status(thm)],[f749,f7])).
% 8.06/1.38 fof(f849,plain,(
% 8.06/1.38 spl0_14|spl0_31),
% 8.06/1.38 inference(split_clause,[status(thm)],[f848,f244,f835])).
% 8.06/1.38 fof(f976,plain,(
% 8.06/1.38 $false|~spl0_14),
% 8.06/1.38 inference(backward_subsumption_resolution,[status(thm)],[f339,f245])).
% 8.06/1.38 fof(f977,plain,(
% 8.06/1.38 ~spl0_14),
% 8.06/1.38 inference(contradiction_clause,[status(thm)],[f976])).
% 8.06/1.38 fof(f1052,plain,(
% 8.06/1.38 ![X0,X1]: (~is_a_theorem(implies(X0,implies(not(X1),X1)))|is_a_theorem(implies(X0,X1))|~spl0_31)),
% 8.06/1.38 inference(resolution,[status(thm)],[f24,f836])).
% 8.06/1.38 fof(f1076,plain,(
% 8.06/1.38 ![X0,X1]: (is_a_theorem(implies(implies(X0,X1),X1))|~is_a_theorem(implies(not(X1),X0))|~spl0_31)),
% 8.06/1.38 inference(resolution,[status(thm)],[f1052,f14])).
% 8.06/1.38 fof(f1119,plain,(
% 8.06/1.38 ![X0,X1]: (is_a_theorem(implies(implies(implies(implies(not(X0),X0),X0),X1),X1))|~spl0_31)),
% 8.06/1.38 inference(resolution,[status(thm)],[f1076,f749])).
% 8.06/1.38 fof(f1697,plain,(
% 8.06/1.38 ![X0,X1,X2]: (~is_a_theorem(X0)|is_a_theorem(implies(X1,implies(not(X0),X2))))),
% 8.06/1.38 inference(resolution,[status(thm)],[f419,f299])).
% 8.06/1.38 fof(f1727,plain,(
% 8.06/1.38 ![X0,X1]: (~is_a_theorem(X0)|is_a_theorem(implies(X1,X0))|~spl0_31)),
% 8.06/1.38 inference(resolution,[status(thm)],[f1697,f1052])).
% 8.06/1.38 fof(f2447,plain,(
% 8.06/1.38 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(X1)|~is_a_theorem(implies(implies(X2,X2),X0)))),
% 8.06/1.38 inference(resolution,[status(thm)],[f736,f14])).
% 8.06/1.38 fof(f2501,plain,(
% 8.06/1.38 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),X1))|~is_a_theorem(implies(implies(X2,X2),X0)))),
% 8.06/1.38 inference(resolution,[status(thm)],[f737,f14])).
% 8.06/1.38 fof(f3477,plain,(
% 8.06/1.38 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(implies(implies(X0,X0),X1),X1),X2),X2)))),
% 8.06/1.38 inference(resolution,[status(thm)],[f2501,f739])).
% 8.06/1.38 fof(f3562,plain,(
% 8.06/1.38 ![X0,X1]: (is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(X0,X1)))|~spl0_31)),
% 8.06/1.38 inference(resolution,[status(thm)],[f621,f1119])).
% 8.06/1.38 fof(f3768,plain,(
% 8.06/1.38 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,implies(implies(X1,X1),X2)),implies(X0,X2))))),
% 8.06/1.38 inference(resolution,[status(thm)],[f3477,f621])).
% 8.06/1.38 fof(f3925,plain,(
% 8.06/1.38 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X0),X1),implies(implies(X1,X2),X2))))),
% 8.06/1.38 inference(resolution,[status(thm)],[f3768,f621])).
% 8.06/1.38 fof(f4049,plain,(
% 8.06/1.38 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X0),not(X1)),implies(X1,X2))))),
% 8.06/1.38 inference(resolution,[status(thm)],[f3925,f436])).
% 8.06/1.38 fof(f4203,plain,(
% 8.06/1.38 ![X0,X1]: (is_a_theorem(implies(implies(not(X0),X1),implies(implies(X1,X0),X0)))|~spl0_31)),
% 8.06/1.38 inference(resolution,[status(thm)],[f3562,f621])).
% 8.06/1.38 fof(f4731,plain,(
% 8.06/1.38 ![X0,X1]: (is_a_theorem(implies(X0,implies(implies(X1,X0),X0)))|~spl0_31)),
% 8.06/1.38 inference(resolution,[status(thm)],[f4203,f299])).
% 8.06/1.38 fof(f4773,plain,(
% 8.06/1.38 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X0)))|~spl0_31)),
% 8.06/1.38 inference(resolution,[status(thm)],[f4731,f436])).
% 8.06/1.38 fof(f4810,plain,(
% 8.06/1.38 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(X1,implies(X2,X1))))|~spl0_31)),
% 8.06/1.38 inference(resolution,[status(thm)],[f4773,f1727])).
% 8.06/1.38 fof(f4893,plain,(
% 8.06/1.38 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,implies(X1,X0)),X2))|is_a_theorem(X2)|~spl0_31)),
% 8.06/1.38 inference(resolution,[status(thm)],[f4810,f2447])).
% 8.06/1.38 fof(f7293,plain,(
% 8.06/1.38 ![X0,X1]: (is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(X0,implies(not(X1),X1))))),
% 8.06/1.38 inference(resolution,[status(thm)],[f824,f14])).
% 8.06/1.38 fof(f7660,plain,(
% 8.06/1.38 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2)))|~spl0_31)),
% 8.06/1.38 inference(resolution,[status(thm)],[f4893,f8])).
% 8.06/1.38 fof(f8366,plain,(
% 8.06/1.38 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,X1),X2))|is_a_theorem(implies(X1,X2))|~spl0_31)),
% 8.06/1.38 inference(resolution,[status(thm)],[f7660,f7])).
% 8.06/1.38 fof(f8402,plain,(
% 8.06/1.38 ![X0,X1]: (is_a_theorem(implies(not(X0),implies(X0,X1)))|~spl0_31)),
% 8.06/1.38 inference(resolution,[status(thm)],[f8366,f4049])).
% 8.06/1.38 fof(f8617,plain,(
% 8.06/1.38 ![X0]: (is_a_theorem(implies(not(not(X0)),X0))|~spl0_31)),
% 8.06/1.38 inference(resolution,[status(thm)],[f7293,f8402])).
% 8.06/1.38 fof(f8635,plain,(
% 8.06/1.38 ![X0,X1]: (is_a_theorem(implies(implies(X0,X1),X1))|~is_a_theorem(implies(not(X1),X0)))),
% 8.06/1.38 inference(resolution,[status(thm)],[f7293,f14])).
% 8.06/1.38 fof(f9778,plain,(
% 8.06/1.38 ![X0,X1]: (is_a_theorem(implies(implies(implies(implies(not(X0),X0),X0),X1),X1)))),
% 8.06/1.38 inference(resolution,[status(thm)],[f8635,f749])).
% 8.06/1.38 fof(f9930,plain,(
% 8.06/1.38 ![X0,X1]: (is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(X0,X1))))),
% 8.06/1.38 inference(resolution,[status(thm)],[f9778,f621])).
% 8.06/1.38 fof(f10163,plain,(
% 8.06/1.38 ![X0,X1]: (is_a_theorem(implies(implies(not(X0),X1),implies(implies(X1,X0),X0))))),
% 8.06/1.38 inference(resolution,[status(thm)],[f9930,f621])).
% 8.06/1.38 fof(f10266,plain,(
% 8.06/1.38 ![X0,X1]: (is_a_theorem(implies(implies(not(X0),not(X1)),implies(X1,X0))))),
% 8.06/1.38 inference(resolution,[status(thm)],[f10163,f436])).
% 8.06/1.38 fof(f10284,plain,(
% 8.06/1.38 ![X0,X1]: (~is_a_theorem(implies(not(X0),not(X1)))|is_a_theorem(implies(X1,X0)))),
% 8.06/1.38 inference(resolution,[status(thm)],[f10266,f7])).
% 8.06/1.38 fof(f10344,plain,(
% 8.06/1.38 ![X0]: (is_a_theorem(implies(X0,not(not(X0))))|~spl0_31)),
% 8.06/1.38 inference(resolution,[status(thm)],[f10284,f8617])).
% 8.06/1.38 fof(f10475,plain,(
% 8.06/1.38 ![X0,X1]: (is_a_theorem(implies(X0,not(not(implies(X1,X0)))))|~spl0_31)),
% 8.06/1.38 inference(resolution,[status(thm)],[f10344,f8366])).
% 8.06/1.38 fof(f10594,plain,(
% 8.06/1.38 ![X0,X1]: (is_a_theorem(implies(not(implies(X0,not(X1))),X1))|~spl0_31)),
% 8.06/1.39 inference(resolution,[status(thm)],[f10475,f10284])).
% 8.06/1.39 fof(f10682,plain,(
% 8.06/1.39 $false|~spl0_31),
% 8.06/1.39 inference(backward_subsumption_resolution,[status(thm)],[f11,f10594])).
% 8.06/1.39 fof(f10683,plain,(
% 8.06/1.39 ~spl0_31),
% 8.06/1.39 inference(contradiction_clause,[status(thm)],[f10682])).
% 8.06/1.39 fof(f10684,plain,(
% 8.06/1.39 $false),
% 8.06/1.39 inference(sat_refutation,[status(thm)],[f849,f977,f10683])).
% 8.06/1.39 % SZS output end CNFRefutation for theBenchmark.p
% 8.18/1.41 % Elapsed time: 1.049060 seconds
% 8.18/1.41 % CPU time: 8.183981 seconds
% 8.18/1.41 % Total memory used: 260.018 MB
% 8.18/1.41 % Net memory used: 237.348 MB
%------------------------------------------------------------------------------