TSTP Solution File: LCL377-1 by E-SAT---3.1.00
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- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1.00
% Problem : LCL377-1 : TPTP v8.2.0. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n007.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 : Mon May 20 23:56:39 EDT 2024
% Result : Unsatisfiable 44.83s 6.14s
% Output : CNFRefutation 44.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 5
% Syntax : Number of clauses : 114 ( 39 unt; 0 nHn; 45 RR)
% Number of literals : 211 ( 0 equ; 105 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 278 ( 59 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(condensed_detachment,axiom,
( is_a_theorem(X2)
| ~ is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment) ).
cnf(cn_1,axiom,
is_a_theorem(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_1) ).
cnf(cn_2,axiom,
is_a_theorem(implies(implies(not(X1),X1),X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_2) ).
cnf(cn_3,axiom,
is_a_theorem(implies(X1,implies(not(X1),X2))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_3) ).
cnf(prove_cn_34,negated_conjecture,
~ is_a_theorem(implies(implies(x,implies(y,implies(z,u))),implies(implies(z,x),implies(y,implies(z,u))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cn_34) ).
cnf(c_0_5,plain,
( is_a_theorem(X2)
| ~ is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(X1) ),
inference(fof_simplification,[status(thm)],[condensed_detachment]) ).
cnf(c_0_6,plain,
( is_a_theorem(X2)
| ~ is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(X1) ),
c_0_5 ).
cnf(c_0_7,axiom,
is_a_theorem(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3)))),
cn_1 ).
cnf(c_0_8,plain,
( is_a_theorem(implies(implies(X1,X2),implies(X3,X2)))
| ~ is_a_theorem(implies(X3,X1)) ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_9,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(X3,X2))
| ~ is_a_theorem(implies(X1,X3)) ),
inference(spm,[status(thm)],[c_0_6,c_0_8]) ).
cnf(c_0_10,axiom,
is_a_theorem(implies(implies(not(X1),X1),X1)),
cn_2 ).
cnf(c_0_11,plain,
( is_a_theorem(implies(X1,implies(X2,X3)))
| ~ is_a_theorem(implies(X1,implies(X4,X3)))
| ~ is_a_theorem(implies(X2,X4)) ),
inference(spm,[status(thm)],[c_0_9,c_0_8]) ).
cnf(c_0_12,axiom,
is_a_theorem(implies(X1,implies(not(X1),X2))),
cn_3 ).
cnf(c_0_13,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(X1,implies(not(X2),X2))) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_14,plain,
( is_a_theorem(implies(X1,implies(X2,X3)))
| ~ is_a_theorem(implies(X2,not(X1))) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_15,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(not(X2),not(X1))) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_16,plain,
( is_a_theorem(implies(not(X1),X2))
| ~ is_a_theorem(X1) ),
inference(spm,[status(thm)],[c_0_6,c_0_12]) ).
cnf(c_0_17,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(X2) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_18,plain,
( is_a_theorem(implies(X1,implies(not(X2),X3)))
| ~ is_a_theorem(implies(X1,X2)) ),
inference(spm,[status(thm)],[c_0_9,c_0_12]) ).
cnf(c_0_19,plain,
( is_a_theorem(implies(implies(X1,X2),X2))
| ~ is_a_theorem(implies(not(X2),X1)) ),
inference(spm,[status(thm)],[c_0_13,c_0_8]) ).
cnf(c_0_20,plain,
( is_a_theorem(implies(X1,implies(X2,X3)))
| ~ is_a_theorem(implies(X2,X4))
| ~ is_a_theorem(implies(X4,X3)) ),
inference(spm,[status(thm)],[c_0_11,c_0_17]) ).
cnf(c_0_21,plain,
( is_a_theorem(implies(X1,implies(not(X2),X3)))
| ~ is_a_theorem(implies(X1,X4))
| ~ is_a_theorem(implies(X4,X2)) ),
inference(spm,[status(thm)],[c_0_9,c_0_18]) ).
cnf(c_0_22,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(X1,implies(X3,X2)))
| ~ is_a_theorem(implies(not(X2),X3)) ),
inference(spm,[status(thm)],[c_0_9,c_0_19]) ).
cnf(c_0_23,plain,
( is_a_theorem(implies(X1,implies(X2,X3)))
| ~ is_a_theorem(implies(implies(not(X2),X4),X3)) ),
inference(spm,[status(thm)],[c_0_20,c_0_12]) ).
cnf(c_0_24,plain,
is_a_theorem(implies(implies(not(implies(not(X1),X1)),implies(not(X1),X1)),X1)),
inference(spm,[status(thm)],[c_0_13,c_0_10]) ).
cnf(c_0_25,plain,
( is_a_theorem(implies(implies(not(X1),X1),implies(not(X2),X3)))
| ~ is_a_theorem(implies(X1,X2)) ),
inference(spm,[status(thm)],[c_0_21,c_0_10]) ).
cnf(c_0_26,plain,
( is_a_theorem(implies(implies(X1,X2),implies(X1,X3)))
| ~ is_a_theorem(implies(not(implies(X1,X3)),implies(X2,X3))) ),
inference(spm,[status(thm)],[c_0_22,c_0_7]) ).
cnf(c_0_27,plain,
is_a_theorem(implies(X1,implies(implies(not(X2),X2),X2))),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_28,plain,
( is_a_theorem(X1)
| ~ is_a_theorem(implies(not(X1),X1)) ),
inference(spm,[status(thm)],[c_0_6,c_0_10]) ).
cnf(c_0_29,plain,
( is_a_theorem(implies(X1,implies(implies(X2,X3),implies(X4,X3))))
| ~ is_a_theorem(implies(X1,implies(X4,X2))) ),
inference(spm,[status(thm)],[c_0_9,c_0_7]) ).
cnf(c_0_30,plain,
( is_a_theorem(implies(X1,implies(X2,X3)))
| ~ is_a_theorem(implies(X4,X3))
| ~ is_a_theorem(X4) ),
inference(spm,[status(thm)],[c_0_20,c_0_17]) ).
cnf(c_0_31,plain,
( is_a_theorem(implies(implies(not(X1),X1),X2))
| ~ is_a_theorem(implies(X1,X2)) ),
inference(spm,[status(thm)],[c_0_13,c_0_25]) ).
cnf(c_0_32,plain,
( is_a_theorem(implies(implies(X1,X2),implies(not(X3),X4)))
| ~ is_a_theorem(implies(implies(implies(X2,X5),implies(X1,X5)),X3)) ),
inference(spm,[status(thm)],[c_0_21,c_0_7]) ).
cnf(c_0_33,plain,
is_a_theorem(implies(implies(X1,implies(not(X2),X2)),implies(X1,X2))),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_34,plain,
( is_a_theorem(implies(implies(X1,X2),implies(X3,X2)))
| ~ is_a_theorem(implies(not(implies(implies(X1,X2),implies(X3,X2))),implies(X3,X1))) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_35,plain,
( is_a_theorem(implies(X1,implies(X2,X3)))
| ~ is_a_theorem(implies(not(X3),X3)) ),
inference(spm,[status(thm)],[c_0_30,c_0_10]) ).
cnf(c_0_36,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(X1,implies(not(X3),X3)))
| ~ is_a_theorem(implies(X3,X2)) ),
inference(spm,[status(thm)],[c_0_9,c_0_31]) ).
cnf(c_0_37,plain,
is_a_theorem(implies(implies(not(X1),X2),implies(not(implies(implies(X2,X1),X1)),X3))),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_38,plain,
( is_a_theorem(implies(implies(X1,X2),implies(X3,X2)))
| ~ is_a_theorem(implies(not(X1),X1)) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_39,plain,
is_a_theorem(implies(X1,implies(X2,X2))),
inference(spm,[status(thm)],[c_0_23,c_0_10]) ).
cnf(c_0_40,plain,
is_a_theorem(implies(X1,X1)),
inference(spm,[status(thm)],[c_0_13,c_0_12]) ).
cnf(c_0_41,plain,
( is_a_theorem(implies(implies(not(X1),X2),X3))
| ~ is_a_theorem(implies(implies(implies(X2,X1),X1),X3)) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_42,plain,
is_a_theorem(implies(implies(implies(X1,X1),X2),implies(X3,X2))),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_43,plain,
is_a_theorem(implies(X1,implies(X2,implies(not(X2),X3)))),
inference(spm,[status(thm)],[c_0_23,c_0_40]) ).
cnf(c_0_44,plain,
( is_a_theorem(implies(X1,implies(not(X2),X3)))
| ~ is_a_theorem(implies(implies(not(X1),X4),X2)) ),
inference(spm,[status(thm)],[c_0_21,c_0_12]) ).
cnf(c_0_45,plain,
is_a_theorem(implies(implies(not(X1),X1),implies(X2,X1))),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_46,plain,
is_a_theorem(implies(implies(implies(not(X1),X2),X3),implies(X1,X3))),
inference(spm,[status(thm)],[c_0_34,c_0_43]) ).
cnf(c_0_47,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(not(X1)) ),
inference(spm,[status(thm)],[c_0_15,c_0_17]) ).
cnf(c_0_48,plain,
is_a_theorem(implies(X1,implies(not(implies(X2,X1)),X3))),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_49,plain,
is_a_theorem(implies(implies(implies(not(not(X1)),X2),X1),X1)),
inference(spm,[status(thm)],[c_0_13,c_0_46]) ).
cnf(c_0_50,plain,
( is_a_theorem(implies(X1,implies(X2,X3)))
| ~ is_a_theorem(not(not(X3))) ),
inference(spm,[status(thm)],[c_0_35,c_0_47]) ).
cnf(c_0_51,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(implies(X3,X1),X2)) ),
inference(spm,[status(thm)],[c_0_36,c_0_48]) ).
cnf(c_0_52,plain,
is_a_theorem(implies(implies(not(X1),not(not(X1))),X1)),
inference(spm,[status(thm)],[c_0_41,c_0_49]) ).
cnf(c_0_53,plain,
( is_a_theorem(implies(implies(X1,X2),implies(X3,X2)))
| ~ is_a_theorem(not(not(X1))) ),
inference(spm,[status(thm)],[c_0_34,c_0_50]) ).
cnf(c_0_54,plain,
( is_a_theorem(implies(not(X1),X2))
| ~ is_a_theorem(implies(X3,X1))
| ~ is_a_theorem(X3) ),
inference(spm,[status(thm)],[c_0_6,c_0_18]) ).
cnf(c_0_55,plain,
( is_a_theorem(implies(X1,implies(X2,X3)))
| ~ is_a_theorem(X3) ),
inference(spm,[status(thm)],[c_0_30,c_0_40]) ).
cnf(c_0_56,plain,
is_a_theorem(implies(not(not(X1)),X1)),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_57,plain,
( is_a_theorem(implies(implies(X1,X2),X2))
| ~ is_a_theorem(not(not(X1))) ),
inference(spm,[status(thm)],[c_0_13,c_0_53]) ).
cnf(c_0_58,plain,
( is_a_theorem(implies(not(X1),X2))
| ~ is_a_theorem(implies(not(X1),X1)) ),
inference(spm,[status(thm)],[c_0_54,c_0_10]) ).
cnf(c_0_59,plain,
( is_a_theorem(implies(implies(X1,X2),implies(X3,X2)))
| ~ is_a_theorem(X1) ),
inference(spm,[status(thm)],[c_0_34,c_0_55]) ).
cnf(c_0_60,plain,
( is_a_theorem(implies(implies(X1,implies(not(X2),X2)),X2))
| ~ is_a_theorem(implies(not(implies(not(X2),X2)),X1)) ),
inference(spm,[status(thm)],[c_0_13,c_0_19]) ).
cnf(c_0_61,plain,
is_a_theorem(implies(X1,not(not(X1)))),
inference(spm,[status(thm)],[c_0_15,c_0_56]) ).
cnf(c_0_62,plain,
( is_a_theorem(X1)
| ~ is_a_theorem(implies(not(X1),X2))
| ~ is_a_theorem(implies(X2,X1)) ),
inference(spm,[status(thm)],[c_0_6,c_0_19]) ).
cnf(c_0_63,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(X1,implies(X3,X2)))
| ~ is_a_theorem(not(not(X3))) ),
inference(spm,[status(thm)],[c_0_9,c_0_57]) ).
cnf(c_0_64,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(not(X2),X2)) ),
inference(spm,[status(thm)],[c_0_15,c_0_58]) ).
cnf(c_0_65,plain,
( is_a_theorem(implies(implies(X1,X2),X2))
| ~ is_a_theorem(X1) ),
inference(spm,[status(thm)],[c_0_13,c_0_59]) ).
cnf(c_0_66,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(X1,implies(X3,implies(not(X2),X2))))
| ~ is_a_theorem(implies(not(implies(not(X2),X2)),X3)) ),
inference(spm,[status(thm)],[c_0_9,c_0_60]) ).
cnf(c_0_67,plain,
is_a_theorem(implies(implies(X1,X2),implies(X1,implies(not(X2),X3)))),
inference(spm,[status(thm)],[c_0_26,c_0_43]) ).
cnf(c_0_68,plain,
is_a_theorem(implies(X1,not(not(implies(X2,X1))))),
inference(spm,[status(thm)],[c_0_51,c_0_61]) ).
cnf(c_0_69,plain,
( is_a_theorem(X1)
| ~ is_a_theorem(implies(implies(not(X2),X3),X1))
| ~ is_a_theorem(implies(not(X1),X2)) ),
inference(spm,[status(thm)],[c_0_62,c_0_18]) ).
cnf(c_0_70,plain,
( is_a_theorem(implies(implies(not(implies(X1,X2)),implies(X1,X2)),X2))
| ~ is_a_theorem(not(not(X1))) ),
inference(spm,[status(thm)],[c_0_63,c_0_10]) ).
cnf(c_0_71,plain,
( is_a_theorem(implies(X1,implies(implies(X2,X3),implies(X4,X3))))
| ~ is_a_theorem(implies(not(implies(implies(X2,X3),implies(X4,X3))),implies(X4,X2))) ),
inference(spm,[status(thm)],[c_0_64,c_0_29]) ).
cnf(c_0_72,plain,
is_a_theorem(implies(implies(not(X1),X1),implies(not(X1),X2))),
inference(spm,[status(thm)],[c_0_44,c_0_24]) ).
cnf(c_0_73,plain,
( is_a_theorem(implies(not(implies(implies(X1,X2),implies(X3,X2))),X4))
| ~ is_a_theorem(implies(X3,X1)) ),
inference(spm,[status(thm)],[c_0_54,c_0_7]) ).
cnf(c_0_74,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(X1,implies(X3,X2)))
| ~ is_a_theorem(X3) ),
inference(spm,[status(thm)],[c_0_9,c_0_65]) ).
cnf(c_0_75,plain,
( is_a_theorem(implies(implies(X1,X2),X2))
| ~ is_a_theorem(implies(not(implies(not(X2),X2)),X1)) ),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_76,plain,
is_a_theorem(implies(not(implies(X1,not(X2))),X2)),
inference(spm,[status(thm)],[c_0_15,c_0_68]) ).
cnf(c_0_77,plain,
( is_a_theorem(X1)
| ~ is_a_theorem(implies(not(X1),implies(X2,X1)))
| ~ is_a_theorem(not(not(X2))) ),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
cnf(c_0_78,plain,
is_a_theorem(implies(X1,implies(implies(X2,X3),implies(implies(not(X2),X2),X3)))),
inference(spm,[status(thm)],[c_0_71,c_0_27]) ).
cnf(c_0_79,plain,
( is_a_theorem(implies(implies(not(X1),X1),X2))
| ~ is_a_theorem(implies(not(X2),not(X1))) ),
inference(spm,[status(thm)],[c_0_22,c_0_72]) ).
cnf(c_0_80,plain,
( is_a_theorem(implies(X1,implies(implies(X2,X3),implies(X4,X3))))
| ~ is_a_theorem(implies(X4,X2)) ),
inference(spm,[status(thm)],[c_0_15,c_0_73]) ).
cnf(c_0_81,plain,
is_a_theorem(implies(implies(not(X1),X2),implies(implies(X2,X1),X1))),
inference(spm,[status(thm)],[c_0_13,c_0_37]) ).
cnf(c_0_82,negated_conjecture,
~ is_a_theorem(implies(implies(x,implies(y,implies(z,u))),implies(implies(z,x),implies(y,implies(z,u))))),
inference(fof_simplification,[status(thm)],[prove_cn_34]) ).
cnf(c_0_83,plain,
( is_a_theorem(implies(implies(X1,X2),implies(X1,X3)))
| ~ is_a_theorem(implies(X2,X3)) ),
inference(spm,[status(thm)],[c_0_74,c_0_7]) ).
cnf(c_0_84,plain,
is_a_theorem(implies(implies(X1,not(X1)),not(X1))),
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
cnf(c_0_85,plain,
( is_a_theorem(implies(implies(not(X1),X1),X2))
| ~ is_a_theorem(not(not(implies(X1,X2)))) ),
inference(spm,[status(thm)],[c_0_77,c_0_78]) ).
cnf(c_0_86,plain,
( is_a_theorem(X1)
| ~ is_a_theorem(implies(not(X1),not(X2)))
| ~ is_a_theorem(implies(not(X2),X2)) ),
inference(spm,[status(thm)],[c_0_6,c_0_79]) ).
cnf(c_0_87,plain,
( is_a_theorem(implies(X1,implies(X2,implies(X3,X4))))
| ~ is_a_theorem(implies(X2,implies(X5,X4)))
| ~ is_a_theorem(implies(X3,X5)) ),
inference(spm,[status(thm)],[c_0_11,c_0_80]) ).
cnf(c_0_88,plain,
is_a_theorem(implies(X1,implies(implies(X1,X2),X2))),
inference(spm,[status(thm)],[c_0_51,c_0_81]) ).
cnf(c_0_89,negated_conjecture,
~ is_a_theorem(implies(implies(x,implies(y,implies(z,u))),implies(implies(z,x),implies(y,implies(z,u))))),
c_0_82 ).
cnf(c_0_90,plain,
( is_a_theorem(implies(implies(X1,X2),X3))
| ~ is_a_theorem(implies(not(X3),X1))
| ~ is_a_theorem(implies(X2,X3)) ),
inference(spm,[status(thm)],[c_0_22,c_0_83]) ).
cnf(c_0_91,plain,
( is_a_theorem(implies(X1,not(X2)))
| ~ is_a_theorem(implies(X1,implies(X2,not(X2)))) ),
inference(spm,[status(thm)],[c_0_9,c_0_84]) ).
cnf(c_0_92,plain,
( is_a_theorem(implies(X1,implies(not(X2),X3)))
| ~ is_a_theorem(not(not(implies(X1,X2)))) ),
inference(spm,[status(thm)],[c_0_44,c_0_85]) ).
cnf(c_0_93,plain,
( is_a_theorem(not(not(X1)))
| ~ is_a_theorem(implies(not(X1),X1)) ),
inference(spm,[status(thm)],[c_0_86,c_0_56]) ).
cnf(c_0_94,plain,
( is_a_theorem(implies(X1,implies(X2,implies(X3,X4))))
| ~ is_a_theorem(implies(X3,implies(X2,X4))) ),
inference(spm,[status(thm)],[c_0_87,c_0_88]) ).
cnf(c_0_95,negated_conjecture,
( ~ is_a_theorem(implies(implies(y,implies(z,u)),implies(implies(z,x),implies(y,implies(z,u)))))
| ~ is_a_theorem(implies(not(implies(implies(z,x),implies(y,implies(z,u)))),x)) ),
inference(spm,[status(thm)],[c_0_89,c_0_90]) ).
cnf(c_0_96,plain,
( is_a_theorem(implies(implies(X1,X2),implies(X3,implies(X1,X4))))
| ~ is_a_theorem(implies(X3,implies(X2,X4))) ),
inference(spm,[status(thm)],[c_0_11,c_0_7]) ).
cnf(c_0_97,plain,
( is_a_theorem(implies(X1,not(not(X2))))
| ~ is_a_theorem(not(not(implies(X1,X2)))) ),
inference(spm,[status(thm)],[c_0_91,c_0_92]) ).
cnf(c_0_98,plain,
( is_a_theorem(not(not(implies(X1,implies(X2,X3)))))
| ~ is_a_theorem(implies(X2,implies(X1,X3))) ),
inference(spm,[status(thm)],[c_0_93,c_0_94]) ).
cnf(c_0_99,negated_conjecture,
( ~ is_a_theorem(implies(not(implies(implies(z,x),implies(y,implies(z,u)))),x))
| ~ is_a_theorem(implies(implies(z,x),implies(implies(z,u),implies(z,u)))) ),
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
cnf(c_0_100,plain,
( is_a_theorem(implies(X1,not(not(implies(X2,X3)))))
| ~ is_a_theorem(implies(X2,implies(X1,X3))) ),
inference(spm,[status(thm)],[c_0_97,c_0_98]) ).
cnf(c_0_101,negated_conjecture,
~ is_a_theorem(implies(not(implies(implies(z,x),implies(y,implies(z,u)))),x)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_99,c_0_39])]) ).
cnf(c_0_102,plain,
( is_a_theorem(implies(not(implies(X1,X2)),X3))
| ~ is_a_theorem(implies(X1,implies(not(X3),X2))) ),
inference(spm,[status(thm)],[c_0_15,c_0_100]) ).
cnf(c_0_103,plain,
( is_a_theorem(implies(X1,implies(X2,X3)))
| ~ is_a_theorem(implies(not(implies(X2,X3)),implies(X4,X3)))
| ~ is_a_theorem(implies(X1,implies(X2,X4))) ),
inference(spm,[status(thm)],[c_0_22,c_0_29]) ).
cnf(c_0_104,plain,
is_a_theorem(implies(X1,implies(X2,implies(X3,X2)))),
inference(spm,[status(thm)],[c_0_23,c_0_45]) ).
cnf(c_0_105,plain,
( is_a_theorem(implies(X1,implies(X2,X3)))
| ~ is_a_theorem(implies(not(X3),not(X2))) ),
inference(spm,[status(thm)],[c_0_23,c_0_19]) ).
cnf(c_0_106,negated_conjecture,
~ is_a_theorem(implies(implies(z,x),implies(not(x),implies(y,implies(z,u))))),
inference(spm,[status(thm)],[c_0_101,c_0_102]) ).
cnf(c_0_107,plain,
( is_a_theorem(implies(X1,implies(X2,implies(X3,X4))))
| ~ is_a_theorem(implies(X1,implies(X2,X4))) ),
inference(spm,[status(thm)],[c_0_103,c_0_104]) ).
cnf(c_0_108,plain,
( is_a_theorem(implies(X1,implies(X2,implies(X3,X4))))
| ~ is_a_theorem(implies(X2,implies(X5,X4)))
| ~ is_a_theorem(implies(X1,implies(X3,X5))) ),
inference(spm,[status(thm)],[c_0_11,c_0_29]) ).
cnf(c_0_109,plain,
is_a_theorem(implies(X1,implies(X2,not(not(X2))))),
inference(spm,[status(thm)],[c_0_105,c_0_56]) ).
cnf(c_0_110,negated_conjecture,
~ is_a_theorem(implies(implies(z,x),implies(not(x),implies(z,u)))),
inference(spm,[status(thm)],[c_0_106,c_0_107]) ).
cnf(c_0_111,plain,
( is_a_theorem(implies(X1,implies(X2,implies(X3,X4))))
| ~ is_a_theorem(implies(X1,implies(X3,not(X2)))) ),
inference(spm,[status(thm)],[c_0_108,c_0_12]) ).
cnf(c_0_112,plain,
is_a_theorem(implies(implies(X1,X2),implies(X1,not(not(X2))))),
inference(spm,[status(thm)],[c_0_26,c_0_109]) ).
cnf(c_0_113,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_111]),c_0_112])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : LCL377-1 : TPTP v8.2.0. Released v2.3.0.
% 0.10/0.13 % Command : run_E %s %d THM
% 0.11/0.34 % Computer : n007.cluster.edu
% 0.11/0.34 % Model : x86_64 x86_64
% 0.11/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.34 % Memory : 8042.1875MB
% 0.11/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.34 % CPULimit : 300
% 0.11/0.34 % WCLimit : 300
% 0.11/0.34 % DateTime : Mon May 20 03:19:23 EDT 2024
% 0.11/0.34 % CPUTime :
% 0.17/0.45 Running first-order model finding
% 0.17/0.45 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 44.83/6.14 # Version: 3.1.0
% 44.83/6.14 # Preprocessing class: FSSSSMSSSSSNFFN.
% 44.83/6.14 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 44.83/6.14 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 44.83/6.14 # Starting new_bool_3 with 300s (1) cores
% 44.83/6.14 # Starting new_bool_1 with 300s (1) cores
% 44.83/6.14 # Starting sh5l with 300s (1) cores
% 44.83/6.14 # G-E--_302_C18_F1_URBAN_RG_S04BN with pid 15770 completed with status 0
% 44.83/6.14 # Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 44.83/6.14 # Preprocessing class: FSSSSMSSSSSNFFN.
% 44.83/6.14 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 44.83/6.14 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 44.83/6.14 # No SInE strategy applied
% 44.83/6.14 # Search class: FHUNS-FFSF21-MFFFFFNN
% 44.83/6.14 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 44.83/6.14 # Starting H----_011_C07_F1_PI_AE_Q4_CS_SP_PS_S0V with 811s (1) cores
% 44.83/6.14 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 44.83/6.14 # Starting H----_011_C07_F1_PI_SE_SP_S0V with 136s (1) cores
% 44.83/6.14 # Starting new_bool_3 with 136s (1) cores
% 44.83/6.14 # Starting new_bool_1 with 136s (1) cores
% 44.83/6.14 # H----_011_C07_F1_PI_SE_SP_S0V with pid 15778 completed with status 0
% 44.83/6.14 # Result found by H----_011_C07_F1_PI_SE_SP_S0V
% 44.83/6.14 # Preprocessing class: FSSSSMSSSSSNFFN.
% 44.83/6.14 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 44.83/6.14 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 44.83/6.14 # No SInE strategy applied
% 44.83/6.14 # Search class: FHUNS-FFSF21-MFFFFFNN
% 44.83/6.14 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 44.83/6.14 # Starting H----_011_C07_F1_PI_AE_Q4_CS_SP_PS_S0V with 811s (1) cores
% 44.83/6.14 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 44.83/6.14 # Starting H----_011_C07_F1_PI_SE_SP_S0V with 136s (1) cores
% 44.83/6.14 # Preprocessing time : 0.001 s
% 44.83/6.14
% 44.83/6.14 # Proof found!
% 44.83/6.14 # SZS status Unsatisfiable
% 44.83/6.14 # SZS output start CNFRefutation
% See solution above
% 44.83/6.14 # Parsed axioms : 5
% 44.83/6.14 # Removed by relevancy pruning/SinE : 0
% 44.83/6.14 # Initial clauses : 5
% 44.83/6.14 # Removed in clause preprocessing : 0
% 44.83/6.14 # Initial clauses in saturation : 5
% 44.83/6.14 # Processed clauses : 81018
% 44.83/6.14 # ...of these trivial : 828
% 44.83/6.14 # ...subsumed : 75829
% 44.83/6.14 # ...remaining for further processing : 4361
% 44.83/6.14 # Other redundant clauses eliminated : 0
% 44.83/6.14 # Clauses deleted for lack of memory : 0
% 44.83/6.14 # Backward-subsumed : 815
% 44.83/6.14 # Backward-rewritten : 68
% 44.83/6.14 # Generated clauses : 444955
% 44.83/6.14 # ...of the previous two non-redundant : 423146
% 44.83/6.14 # ...aggressively subsumed : 0
% 44.83/6.14 # Contextual simplify-reflections : 0
% 44.83/6.14 # Paramodulations : 444955
% 44.83/6.14 # Factorizations : 0
% 44.83/6.14 # NegExts : 0
% 44.83/6.14 # Equation resolutions : 0
% 44.83/6.14 # Disequality decompositions : 0
% 44.83/6.14 # Total rewrite steps : 24173
% 44.83/6.14 # ...of those cached : 21595
% 44.83/6.14 # Propositional unsat checks : 0
% 44.83/6.14 # Propositional check models : 0
% 44.83/6.14 # Propositional check unsatisfiable : 0
% 44.83/6.14 # Propositional clauses : 0
% 44.83/6.14 # Propositional clauses after purity: 0
% 44.83/6.14 # Propositional unsat core size : 0
% 44.83/6.14 # Propositional preprocessing time : 0.000
% 44.83/6.14 # Propositional encoding time : 0.000
% 44.83/6.14 # Propositional solver time : 0.000
% 44.83/6.14 # Success case prop preproc time : 0.000
% 44.83/6.14 # Success case prop encoding time : 0.000
% 44.83/6.14 # Success case prop solver time : 0.000
% 44.83/6.14 # Current number of processed clauses : 3478
% 44.83/6.14 # Positive orientable unit clauses : 475
% 44.83/6.14 # Positive unorientable unit clauses: 0
% 44.83/6.14 # Negative unit clauses : 861
% 44.83/6.14 # Non-unit-clauses : 2142
% 44.83/6.14 # Current number of unprocessed clauses: 341134
% 44.83/6.14 # ...number of literals in the above : 1137051
% 44.83/6.14 # Current number of archived formulas : 0
% 44.83/6.14 # Current number of archived clauses : 883
% 44.83/6.14 # Clause-clause subsumption calls (NU) : 3074133
% 44.83/6.14 # Rec. Clause-clause subsumption calls : 1523396
% 44.83/6.14 # Non-unit clause-clause subsumptions : 43201
% 44.83/6.14 # Unit Clause-clause subsumption calls : 280974
% 44.83/6.14 # Rewrite failures with RHS unbound : 0
% 44.83/6.14 # BW rewrite match attempts : 124247
% 44.83/6.14 # BW rewrite match successes : 28
% 44.83/6.14 # Condensation attempts : 0
% 44.83/6.14 # Condensation successes : 0
% 44.83/6.14 # Termbank termtop insertions : 6735879
% 44.83/6.14 # Search garbage collected termcells : 8
% 44.83/6.14
% 44.83/6.14 # -------------------------------------------------
% 44.83/6.14 # User time : 5.312 s
% 44.83/6.14 # System time : 0.168 s
% 44.83/6.14 # Total time : 5.480 s
% 44.83/6.14 # Maximum resident set size: 1648 pages
% 44.83/6.14
% 44.83/6.14 # -------------------------------------------------
% 44.83/6.14 # User time : 27.278 s
% 44.83/6.14 # System time : 0.485 s
% 44.83/6.14 # Total time : 27.762 s
% 44.83/6.14 # Maximum resident set size: 1692 pages
% 44.83/6.14 % E---3.1 exiting
%------------------------------------------------------------------------------