TSTP Solution File: LCL377-1 by E-SAT---3.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : LCL377-1 : TPTP v8.1.2. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n029.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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 18:24:42 EDT 2023
% Result : Unsatisfiable 54.54s 7.33s
% Output : CNFRefutation 54.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 5
% Syntax : Number of clauses : 112 ( 38 unt; 0 nHn; 43 RR)
% Number of literals : 207 ( 0 equ; 102 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 : 276 ( 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/tmp/tmp.EqZHn41yvF/E---3.1_21413.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/tmp/tmp.EqZHn41yvF/E---3.1_21413.p',cn_1) ).
cnf(cn_2,axiom,
is_a_theorem(implies(implies(not(X1),X1),X1)),
file('/export/starexec/sandbox2/tmp/tmp.EqZHn41yvF/E---3.1_21413.p',cn_2) ).
cnf(cn_3,axiom,
is_a_theorem(implies(X1,implies(not(X1),X2))),
file('/export/starexec/sandbox2/tmp/tmp.EqZHn41yvF/E---3.1_21413.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/tmp/tmp.EqZHn41yvF/E---3.1_21413.p',prove_cn_34) ).
cnf(c_0_5,axiom,
( is_a_theorem(X2)
| ~ is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(X1) ),
condensed_detachment ).
cnf(c_0_6,axiom,
is_a_theorem(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3)))),
cn_1 ).
cnf(c_0_7,plain,
( is_a_theorem(implies(implies(X1,X2),implies(X3,X2)))
| ~ is_a_theorem(implies(X3,X1)) ),
inference(spm,[status(thm)],[c_0_5,c_0_6]) ).
cnf(c_0_8,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_5,c_0_7]) ).
cnf(c_0_9,axiom,
is_a_theorem(implies(implies(not(X1),X1),X1)),
cn_2 ).
cnf(c_0_10,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_8,c_0_7]) ).
cnf(c_0_11,axiom,
is_a_theorem(implies(X1,implies(not(X1),X2))),
cn_3 ).
cnf(c_0_12,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(X1,implies(not(X2),X2))) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_13,plain,
( is_a_theorem(implies(X1,implies(X2,X3)))
| ~ is_a_theorem(implies(X2,not(X1))) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_14,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(not(X2),not(X1))) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_15,plain,
( is_a_theorem(implies(not(X1),X2))
| ~ is_a_theorem(X1) ),
inference(spm,[status(thm)],[c_0_5,c_0_11]) ).
cnf(c_0_16,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(X2) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_17,plain,
( is_a_theorem(implies(X1,implies(not(X2),X3)))
| ~ is_a_theorem(implies(X1,X2)) ),
inference(spm,[status(thm)],[c_0_8,c_0_11]) ).
cnf(c_0_18,plain,
( is_a_theorem(implies(implies(X1,X2),X2))
| ~ is_a_theorem(implies(not(X2),X1)) ),
inference(spm,[status(thm)],[c_0_12,c_0_7]) ).
cnf(c_0_19,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_10,c_0_16]) ).
cnf(c_0_20,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_8,c_0_17]) ).
cnf(c_0_21,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_8,c_0_18]) ).
cnf(c_0_22,plain,
( is_a_theorem(implies(X1,implies(X2,X3)))
| ~ is_a_theorem(implies(implies(not(X2),X4),X3)) ),
inference(spm,[status(thm)],[c_0_19,c_0_11]) ).
cnf(c_0_23,plain,
is_a_theorem(implies(implies(not(implies(not(X1),X1)),implies(not(X1),X1)),X1)),
inference(spm,[status(thm)],[c_0_12,c_0_9]) ).
cnf(c_0_24,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_20,c_0_9]) ).
cnf(c_0_25,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_21,c_0_6]) ).
cnf(c_0_26,plain,
is_a_theorem(implies(X1,implies(implies(not(X2),X2),X2))),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_27,plain,
( is_a_theorem(X1)
| ~ is_a_theorem(implies(not(X1),X1)) ),
inference(spm,[status(thm)],[c_0_5,c_0_9]) ).
cnf(c_0_28,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_8,c_0_6]) ).
cnf(c_0_29,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_19,c_0_16]) ).
cnf(c_0_30,plain,
( is_a_theorem(implies(implies(not(X1),X1),X2))
| ~ is_a_theorem(implies(X1,X2)) ),
inference(spm,[status(thm)],[c_0_12,c_0_24]) ).
cnf(c_0_31,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_20,c_0_6]) ).
cnf(c_0_32,plain,
is_a_theorem(implies(implies(X1,implies(not(X2),X2)),implies(X1,X2))),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_33,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_27,c_0_28]) ).
cnf(c_0_34,plain,
( is_a_theorem(implies(X1,implies(X2,X3)))
| ~ is_a_theorem(implies(not(X3),X3)) ),
inference(spm,[status(thm)],[c_0_29,c_0_9]) ).
cnf(c_0_35,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_8,c_0_30]) ).
cnf(c_0_36,plain,
is_a_theorem(implies(implies(not(X1),X2),implies(not(implies(implies(X2,X1),X1)),X3))),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_37,plain,
( is_a_theorem(implies(implies(X1,X2),implies(X3,X2)))
| ~ is_a_theorem(implies(not(X1),X1)) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_38,plain,
is_a_theorem(implies(X1,implies(X2,X2))),
inference(spm,[status(thm)],[c_0_22,c_0_9]) ).
cnf(c_0_39,plain,
is_a_theorem(implies(X1,X1)),
inference(spm,[status(thm)],[c_0_12,c_0_11]) ).
cnf(c_0_40,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_35,c_0_36]) ).
cnf(c_0_41,plain,
is_a_theorem(implies(implies(implies(X1,X1),X2),implies(X3,X2))),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_42,plain,
is_a_theorem(implies(X1,implies(X2,implies(not(X2),X3)))),
inference(spm,[status(thm)],[c_0_22,c_0_39]) ).
cnf(c_0_43,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_20,c_0_11]) ).
cnf(c_0_44,plain,
is_a_theorem(implies(implies(not(X1),X1),implies(X2,X1))),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_45,plain,
is_a_theorem(implies(implies(implies(not(X1),X2),X3),implies(X1,X3))),
inference(spm,[status(thm)],[c_0_33,c_0_42]) ).
cnf(c_0_46,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(not(X1)) ),
inference(spm,[status(thm)],[c_0_14,c_0_16]) ).
cnf(c_0_47,plain,
is_a_theorem(implies(X1,implies(not(implies(X2,X1)),X3))),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_48,plain,
is_a_theorem(implies(implies(implies(not(not(X1)),X2),X1),X1)),
inference(spm,[status(thm)],[c_0_12,c_0_45]) ).
cnf(c_0_49,plain,
( is_a_theorem(implies(X1,implies(X2,X3)))
| ~ is_a_theorem(not(not(X3))) ),
inference(spm,[status(thm)],[c_0_34,c_0_46]) ).
cnf(c_0_50,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(implies(X3,X1),X2)) ),
inference(spm,[status(thm)],[c_0_35,c_0_47]) ).
cnf(c_0_51,plain,
is_a_theorem(implies(implies(not(X1),not(not(X1))),X1)),
inference(spm,[status(thm)],[c_0_40,c_0_48]) ).
cnf(c_0_52,plain,
( is_a_theorem(implies(implies(X1,X2),implies(X3,X2)))
| ~ is_a_theorem(not(not(X1))) ),
inference(spm,[status(thm)],[c_0_33,c_0_49]) ).
cnf(c_0_53,plain,
( is_a_theorem(implies(not(X1),X2))
| ~ is_a_theorem(implies(X3,X1))
| ~ is_a_theorem(X3) ),
inference(spm,[status(thm)],[c_0_5,c_0_17]) ).
cnf(c_0_54,plain,
( is_a_theorem(implies(X1,implies(X2,X3)))
| ~ is_a_theorem(X3) ),
inference(spm,[status(thm)],[c_0_29,c_0_39]) ).
cnf(c_0_55,plain,
is_a_theorem(implies(not(not(X1)),X1)),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_56,plain,
( is_a_theorem(implies(implies(X1,X2),X2))
| ~ is_a_theorem(not(not(X1))) ),
inference(spm,[status(thm)],[c_0_12,c_0_52]) ).
cnf(c_0_57,plain,
( is_a_theorem(implies(not(X1),X2))
| ~ is_a_theorem(implies(not(X1),X1)) ),
inference(spm,[status(thm)],[c_0_53,c_0_9]) ).
cnf(c_0_58,plain,
( is_a_theorem(implies(implies(X1,X2),implies(X3,X2)))
| ~ is_a_theorem(X1) ),
inference(spm,[status(thm)],[c_0_33,c_0_54]) ).
cnf(c_0_59,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_12,c_0_18]) ).
cnf(c_0_60,plain,
is_a_theorem(implies(X1,not(not(X1)))),
inference(spm,[status(thm)],[c_0_14,c_0_55]) ).
cnf(c_0_61,plain,
( is_a_theorem(X1)
| ~ is_a_theorem(implies(not(X1),X2))
| ~ is_a_theorem(implies(X2,X1)) ),
inference(spm,[status(thm)],[c_0_5,c_0_18]) ).
cnf(c_0_62,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_8,c_0_56]) ).
cnf(c_0_63,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(not(X2),X2)) ),
inference(spm,[status(thm)],[c_0_14,c_0_57]) ).
cnf(c_0_64,plain,
( is_a_theorem(implies(implies(X1,X2),X2))
| ~ is_a_theorem(X1) ),
inference(spm,[status(thm)],[c_0_12,c_0_58]) ).
cnf(c_0_65,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_8,c_0_59]) ).
cnf(c_0_66,plain,
is_a_theorem(implies(implies(X1,X2),implies(X1,implies(not(X2),X3)))),
inference(spm,[status(thm)],[c_0_25,c_0_42]) ).
cnf(c_0_67,plain,
is_a_theorem(implies(X1,not(not(implies(X2,X1))))),
inference(spm,[status(thm)],[c_0_50,c_0_60]) ).
cnf(c_0_68,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_61,c_0_17]) ).
cnf(c_0_69,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_62,c_0_9]) ).
cnf(c_0_70,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_63,c_0_28]) ).
cnf(c_0_71,plain,
is_a_theorem(implies(implies(not(X1),X1),implies(not(X1),X2))),
inference(spm,[status(thm)],[c_0_43,c_0_23]) ).
cnf(c_0_72,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_53,c_0_6]) ).
cnf(c_0_73,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_8,c_0_64]) ).
cnf(c_0_74,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_65,c_0_66]) ).
cnf(c_0_75,plain,
is_a_theorem(implies(not(implies(X1,not(X2))),X2)),
inference(spm,[status(thm)],[c_0_14,c_0_67]) ).
cnf(c_0_76,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_68,c_0_69]) ).
cnf(c_0_77,plain,
is_a_theorem(implies(X1,implies(implies(X2,X3),implies(implies(not(X2),X2),X3)))),
inference(spm,[status(thm)],[c_0_70,c_0_26]) ).
cnf(c_0_78,plain,
( is_a_theorem(implies(implies(not(X1),X1),X2))
| ~ is_a_theorem(implies(not(X2),not(X1))) ),
inference(spm,[status(thm)],[c_0_21,c_0_71]) ).
cnf(c_0_79,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_14,c_0_72]) ).
cnf(c_0_80,plain,
is_a_theorem(implies(implies(not(X1),X2),implies(implies(X2,X1),X1))),
inference(spm,[status(thm)],[c_0_12,c_0_36]) ).
cnf(c_0_81,plain,
( is_a_theorem(implies(implies(X1,X2),implies(X1,X3)))
| ~ is_a_theorem(implies(X2,X3)) ),
inference(spm,[status(thm)],[c_0_73,c_0_6]) ).
cnf(c_0_82,plain,
is_a_theorem(implies(implies(X1,not(X1)),not(X1))),
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_83,plain,
( is_a_theorem(implies(implies(not(X1),X1),X2))
| ~ is_a_theorem(not(not(implies(X1,X2)))) ),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_84,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_5,c_0_78]) ).
cnf(c_0_85,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_10,c_0_79]) ).
cnf(c_0_86,plain,
is_a_theorem(implies(X1,implies(implies(X1,X2),X2))),
inference(spm,[status(thm)],[c_0_50,c_0_80]) ).
cnf(c_0_87,negated_conjecture,
~ is_a_theorem(implies(implies(x,implies(y,implies(z,u))),implies(implies(z,x),implies(y,implies(z,u))))),
prove_cn_34 ).
cnf(c_0_88,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_21,c_0_81]) ).
cnf(c_0_89,plain,
( is_a_theorem(implies(X1,not(X2)))
| ~ is_a_theorem(implies(X1,implies(X2,not(X2)))) ),
inference(spm,[status(thm)],[c_0_8,c_0_82]) ).
cnf(c_0_90,plain,
( is_a_theorem(implies(X1,implies(not(X2),X3)))
| ~ is_a_theorem(not(not(implies(X1,X2)))) ),
inference(spm,[status(thm)],[c_0_43,c_0_83]) ).
cnf(c_0_91,plain,
( is_a_theorem(not(not(X1)))
| ~ is_a_theorem(implies(not(X1),X1)) ),
inference(spm,[status(thm)],[c_0_84,c_0_55]) ).
cnf(c_0_92,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_85,c_0_86]) ).
cnf(c_0_93,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_87,c_0_88]) ).
cnf(c_0_94,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_10,c_0_6]) ).
cnf(c_0_95,plain,
( is_a_theorem(implies(X1,not(not(X2))))
| ~ is_a_theorem(not(not(implies(X1,X2)))) ),
inference(spm,[status(thm)],[c_0_89,c_0_90]) ).
cnf(c_0_96,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_91,c_0_92]) ).
cnf(c_0_97,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_93,c_0_94]) ).
cnf(c_0_98,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_95,c_0_96]) ).
cnf(c_0_99,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_97,c_0_38])]) ).
cnf(c_0_100,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_14,c_0_98]) ).
cnf(c_0_101,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_21,c_0_28]) ).
cnf(c_0_102,plain,
is_a_theorem(implies(X1,implies(X2,implies(X3,X2)))),
inference(spm,[status(thm)],[c_0_22,c_0_44]) ).
cnf(c_0_103,plain,
( is_a_theorem(implies(X1,implies(X2,X3)))
| ~ is_a_theorem(implies(not(X3),not(X2))) ),
inference(spm,[status(thm)],[c_0_22,c_0_18]) ).
cnf(c_0_104,negated_conjecture,
~ is_a_theorem(implies(implies(z,x),implies(not(x),implies(y,implies(z,u))))),
inference(spm,[status(thm)],[c_0_99,c_0_100]) ).
cnf(c_0_105,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_101,c_0_102]) ).
cnf(c_0_106,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_10,c_0_28]) ).
cnf(c_0_107,plain,
is_a_theorem(implies(X1,implies(X2,not(not(X2))))),
inference(spm,[status(thm)],[c_0_103,c_0_55]) ).
cnf(c_0_108,negated_conjecture,
~ is_a_theorem(implies(implies(z,x),implies(not(x),implies(z,u)))),
inference(spm,[status(thm)],[c_0_104,c_0_105]) ).
cnf(c_0_109,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_106,c_0_11]) ).
cnf(c_0_110,plain,
is_a_theorem(implies(implies(X1,X2),implies(X1,not(not(X2))))),
inference(spm,[status(thm)],[c_0_25,c_0_107]) ).
cnf(c_0_111,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_109]),c_0_110])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : LCL377-1 : TPTP v8.1.2. Released v2.3.0.
% 0.10/0.11 % Command : run_E %s %d THM
% 0.11/0.32 % Computer : n029.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 2400
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Mon Oct 2 13:22:36 EDT 2023
% 0.11/0.32 % CPUTime :
% 0.16/0.43 Running first-order model finding
% 0.16/0.43 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/tmp/tmp.EqZHn41yvF/E---3.1_21413.p
% 54.54/7.33 # Version: 3.1pre001
% 54.54/7.33 # Preprocessing class: FSSSSMSSSSSNFFN.
% 54.54/7.33 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 54.54/7.33 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 54.54/7.33 # Starting new_bool_3 with 300s (1) cores
% 54.54/7.33 # Starting new_bool_1 with 300s (1) cores
% 54.54/7.33 # Starting sh5l with 300s (1) cores
% 54.54/7.33 # G-E--_302_C18_F1_URBAN_RG_S04BN with pid 21491 completed with status 0
% 54.54/7.33 # Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 54.54/7.33 # Preprocessing class: FSSSSMSSSSSNFFN.
% 54.54/7.33 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 54.54/7.33 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 54.54/7.33 # No SInE strategy applied
% 54.54/7.33 # Search class: FHUNS-FFSF21-MFFFFFNN
% 54.54/7.33 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 54.54/7.33 # Starting H----_011_C07_F1_PI_AE_Q4_CS_SP_PS_S0V with 811s (1) cores
% 54.54/7.33 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 54.54/7.33 # Starting H----_011_C07_F1_PI_SE_SP_S0V with 136s (1) cores
% 54.54/7.33 # Starting new_bool_3 with 136s (1) cores
% 54.54/7.33 # Starting new_bool_1 with 136s (1) cores
% 54.54/7.33 # H----_011_C07_F1_PI_SE_SP_S0V with pid 21499 completed with status 0
% 54.54/7.33 # Result found by H----_011_C07_F1_PI_SE_SP_S0V
% 54.54/7.33 # Preprocessing class: FSSSSMSSSSSNFFN.
% 54.54/7.33 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 54.54/7.33 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 54.54/7.33 # No SInE strategy applied
% 54.54/7.33 # Search class: FHUNS-FFSF21-MFFFFFNN
% 54.54/7.33 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 54.54/7.33 # Starting H----_011_C07_F1_PI_AE_Q4_CS_SP_PS_S0V with 811s (1) cores
% 54.54/7.33 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 54.54/7.33 # Starting H----_011_C07_F1_PI_SE_SP_S0V with 136s (1) cores
% 54.54/7.33 # Preprocessing time : 0.001 s
% 54.54/7.33
% 54.54/7.33 # Proof found!
% 54.54/7.33 # SZS status Unsatisfiable
% 54.54/7.33 # SZS output start CNFRefutation
% See solution above
% 54.54/7.33 # Parsed axioms : 5
% 54.54/7.33 # Removed by relevancy pruning/SinE : 0
% 54.54/7.33 # Initial clauses : 5
% 54.54/7.33 # Removed in clause preprocessing : 0
% 54.54/7.33 # Initial clauses in saturation : 5
% 54.54/7.33 # Processed clauses : 81018
% 54.54/7.33 # ...of these trivial : 813
% 54.54/7.33 # ...subsumed : 75845
% 54.54/7.33 # ...remaining for further processing : 4360
% 54.54/7.33 # Other redundant clauses eliminated : 0
% 54.54/7.33 # Clauses deleted for lack of memory : 0
% 54.54/7.33 # Backward-subsumed : 816
% 54.54/7.33 # Backward-rewritten : 68
% 54.54/7.33 # Generated clauses : 444723
% 54.54/7.33 # ...of the previous two non-redundant : 422954
% 54.54/7.33 # ...aggressively subsumed : 0
% 54.54/7.33 # Contextual simplify-reflections : 0
% 54.54/7.33 # Paramodulations : 444723
% 54.54/7.33 # Factorizations : 0
% 54.54/7.33 # NegExts : 0
% 54.54/7.33 # Equation resolutions : 0
% 54.54/7.33 # Total rewrite steps : 24116
% 54.54/7.33 # Propositional unsat checks : 0
% 54.54/7.33 # Propositional check models : 0
% 54.54/7.33 # Propositional check unsatisfiable : 0
% 54.54/7.33 # Propositional clauses : 0
% 54.54/7.33 # Propositional clauses after purity: 0
% 54.54/7.33 # Propositional unsat core size : 0
% 54.54/7.33 # Propositional preprocessing time : 0.000
% 54.54/7.33 # Propositional encoding time : 0.000
% 54.54/7.33 # Propositional solver time : 0.000
% 54.54/7.33 # Success case prop preproc time : 0.000
% 54.54/7.33 # Success case prop encoding time : 0.000
% 54.54/7.33 # Success case prop solver time : 0.000
% 54.54/7.33 # Current number of processed clauses : 3476
% 54.54/7.33 # Positive orientable unit clauses : 473
% 54.54/7.33 # Positive unorientable unit clauses: 0
% 54.54/7.33 # Negative unit clauses : 860
% 54.54/7.33 # Non-unit-clauses : 2143
% 54.54/7.33 # Current number of unprocessed clauses: 340931
% 54.54/7.33 # ...number of literals in the above : 1136562
% 54.54/7.33 # Current number of archived formulas : 0
% 54.54/7.33 # Current number of archived clauses : 884
% 54.54/7.33 # Clause-clause subsumption calls (NU) : 3079366
% 54.54/7.33 # Rec. Clause-clause subsumption calls : 1524513
% 54.54/7.33 # Non-unit clause-clause subsumptions : 43211
% 54.54/7.33 # Unit Clause-clause subsumption calls : 280466
% 54.54/7.33 # Rewrite failures with RHS unbound : 0
% 54.54/7.33 # BW rewrite match attempts : 123709
% 54.54/7.33 # BW rewrite match successes : 28
% 54.54/7.33 # Condensation attempts : 0
% 54.54/7.33 # Condensation successes : 0
% 54.54/7.33 # Termbank termtop insertions : 6732364
% 54.54/7.33
% 54.54/7.33 # -------------------------------------------------
% 54.54/7.33 # User time : 6.575 s
% 54.54/7.33 # System time : 0.204 s
% 54.54/7.33 # Total time : 6.779 s
% 54.54/7.33 # Maximum resident set size: 1596 pages
% 54.54/7.33
% 54.54/7.33 # -------------------------------------------------
% 54.54/7.33 # User time : 33.158 s
% 54.54/7.33 # System time : 0.596 s
% 54.54/7.33 # Total time : 33.754 s
% 54.54/7.33 # Maximum resident set size: 1676 pages
% 54.54/7.33 % E---3.1 exiting
%------------------------------------------------------------------------------