TSTP Solution File: LCL074-1 by E-SAT---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : LCL074-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n010.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 18:23:38 EDT 2023
% Result : Unsatisfiable 1028.39s 130.54s
% Output : CNFRefutation 1028.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 57
% Number of leaves : 3
% Syntax : Number of clauses : 142 ( 91 unt; 0 nHn; 15 RR)
% Number of literals : 198 ( 0 equ; 58 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 478 ( 234 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(condensed_detachment,axiom,
( is_a_theorem(X2)
| ~ is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(X1) ),
file('/export/starexec/sandbox/tmp/tmp.GtBJbSUffA/E---3.1_15175.p',condensed_detachment) ).
cnf(cn_CAMerideth,axiom,
is_a_theorem(implies(implies(implies(implies(implies(X1,X2),implies(not(X3),not(X4))),X3),X5),implies(implies(X5,X1),implies(X4,X1)))),
file('/export/starexec/sandbox/tmp/tmp.GtBJbSUffA/E---3.1_15175.p',cn_CAMerideth) ).
cnf(prove_cn_2,negated_conjecture,
~ is_a_theorem(implies(implies(not(a),a),a)),
file('/export/starexec/sandbox/tmp/tmp.GtBJbSUffA/E---3.1_15175.p',prove_cn_2) ).
cnf(c_0_3,axiom,
( is_a_theorem(X2)
| ~ is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(X1) ),
condensed_detachment ).
cnf(c_0_4,axiom,
is_a_theorem(implies(implies(implies(implies(implies(X1,X2),implies(not(X3),not(X4))),X3),X5),implies(implies(X5,X1),implies(X4,X1)))),
cn_CAMerideth ).
cnf(c_0_5,plain,
( is_a_theorem(implies(implies(X1,X2),implies(X3,X2)))
| ~ is_a_theorem(implies(implies(implies(implies(X2,X4),implies(not(X5),not(X3))),X5),X1)) ),
inference(spm,[status(thm)],[c_0_3,c_0_4]) ).
cnf(c_0_6,plain,
is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X3,X2)),implies(X2,X4)),implies(X5,implies(X2,X4)))),
inference(spm,[status(thm)],[c_0_5,c_0_4]) ).
cnf(c_0_7,plain,
is_a_theorem(implies(implies(implies(X1,implies(not(X2),X3)),X4),implies(X2,X4))),
inference(spm,[status(thm)],[c_0_5,c_0_6]) ).
cnf(c_0_8,plain,
is_a_theorem(implies(implies(implies(X1,X1),X2),implies(X3,X2))),
inference(spm,[status(thm)],[c_0_5,c_0_7]) ).
cnf(c_0_9,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(implies(X3,X3),X2)) ),
inference(spm,[status(thm)],[c_0_3,c_0_8]) ).
cnf(c_0_10,plain,
is_a_theorem(implies(X1,implies(X2,implies(X3,implies(not(X2),X4))))),
inference(spm,[status(thm)],[c_0_9,c_0_7]) ).
cnf(c_0_11,plain,
( is_a_theorem(implies(X1,implies(X2,implies(not(X1),X3))))
| ~ is_a_theorem(X4) ),
inference(spm,[status(thm)],[c_0_3,c_0_10]) ).
cnf(c_0_12,plain,
is_a_theorem(implies(X1,implies(X2,implies(X3,X3)))),
inference(spm,[status(thm)],[c_0_9,c_0_8]) ).
cnf(c_0_13,plain,
is_a_theorem(implies(X1,implies(X2,implies(not(X1),X3)))),
inference(spm,[status(thm)],[c_0_11,c_0_4]) ).
cnf(c_0_14,plain,
is_a_theorem(implies(implies(implies(X1,implies(X2,X2)),X3),implies(X4,X3))),
inference(spm,[status(thm)],[c_0_5,c_0_12]) ).
cnf(c_0_15,plain,
is_a_theorem(implies(X1,implies(X2,implies(not(implies(X3,X3)),X4)))),
inference(spm,[status(thm)],[c_0_9,c_0_13]) ).
cnf(c_0_16,plain,
is_a_theorem(implies(implies(implies(X1,X2),X3),implies(X2,X3))),
inference(spm,[status(thm)],[c_0_5,c_0_14]) ).
cnf(c_0_17,plain,
( is_a_theorem(implies(X1,implies(not(implies(X2,X2)),X3)))
| ~ is_a_theorem(X4) ),
inference(spm,[status(thm)],[c_0_3,c_0_15]) ).
cnf(c_0_18,plain,
is_a_theorem(implies(implies(implies(implies(not(X1),not(X2)),X1),X3),implies(X2,X3))),
inference(spm,[status(thm)],[c_0_5,c_0_16]) ).
cnf(c_0_19,plain,
is_a_theorem(implies(X1,implies(not(implies(X2,X2)),X3))),
inference(spm,[status(thm)],[c_0_17,c_0_4]) ).
cnf(c_0_20,plain,
is_a_theorem(implies(X1,implies(X2,implies(implies(not(X3),not(X2)),X3)))),
inference(spm,[status(thm)],[c_0_9,c_0_18]) ).
cnf(c_0_21,plain,
( is_a_theorem(implies(not(implies(X1,X1)),X2))
| ~ is_a_theorem(X3) ),
inference(spm,[status(thm)],[c_0_3,c_0_19]) ).
cnf(c_0_22,plain,
( is_a_theorem(implies(X1,implies(implies(not(X2),not(X1)),X2)))
| ~ is_a_theorem(X3) ),
inference(spm,[status(thm)],[c_0_3,c_0_20]) ).
cnf(c_0_23,plain,
is_a_theorem(implies(not(implies(X1,X1)),X2)),
inference(spm,[status(thm)],[c_0_21,c_0_4]) ).
cnf(c_0_24,plain,
( is_a_theorem(implies(X1,implies(X2,X2)))
| ~ is_a_theorem(X3) ),
inference(spm,[status(thm)],[c_0_3,c_0_12]) ).
cnf(c_0_25,plain,
is_a_theorem(implies(X1,implies(X2,implies(X3,X2)))),
inference(spm,[status(thm)],[c_0_9,c_0_16]) ).
cnf(c_0_26,plain,
is_a_theorem(implies(X1,implies(implies(not(X2),not(X1)),X2))),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_27,plain,
is_a_theorem(implies(X1,implies(X2,X2))),
inference(spm,[status(thm)],[c_0_24,c_0_4]) ).
cnf(c_0_28,plain,
( is_a_theorem(implies(X1,implies(X2,X1)))
| ~ is_a_theorem(X3) ),
inference(spm,[status(thm)],[c_0_3,c_0_25]) ).
cnf(c_0_29,plain,
is_a_theorem(implies(X1,implies(implies(not(X2),not(implies(X3,X3))),X2))),
inference(spm,[status(thm)],[c_0_9,c_0_26]) ).
cnf(c_0_30,plain,
( is_a_theorem(implies(X1,X1))
| ~ is_a_theorem(X2) ),
inference(spm,[status(thm)],[c_0_3,c_0_27]) ).
cnf(c_0_31,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(implies(X3,X1),X2)) ),
inference(spm,[status(thm)],[c_0_3,c_0_16]) ).
cnf(c_0_32,plain,
is_a_theorem(implies(X1,implies(X2,X1))),
inference(spm,[status(thm)],[c_0_28,c_0_4]) ).
cnf(c_0_33,plain,
is_a_theorem(implies(implies(implies(X1,X2),not(X2)),implies(X3,not(X2)))),
inference(spm,[status(thm)],[c_0_5,c_0_8]) ).
cnf(c_0_34,plain,
( is_a_theorem(implies(implies(not(X1),not(implies(X2,X2))),X1))
| ~ is_a_theorem(X3) ),
inference(spm,[status(thm)],[c_0_3,c_0_29]) ).
cnf(c_0_35,plain,
is_a_theorem(implies(X1,X1)),
inference(spm,[status(thm)],[c_0_30,c_0_4]) ).
cnf(c_0_36,plain,
is_a_theorem(implies(X1,implies(implies(X1,X2),implies(X3,X2)))),
inference(spm,[status(thm)],[c_0_31,c_0_4]) ).
cnf(c_0_37,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(X2) ),
inference(spm,[status(thm)],[c_0_3,c_0_32]) ).
cnf(c_0_38,plain,
( is_a_theorem(implies(X1,not(X2)))
| ~ is_a_theorem(implies(implies(X3,X2),not(X2))) ),
inference(spm,[status(thm)],[c_0_3,c_0_33]) ).
cnf(c_0_39,plain,
is_a_theorem(implies(implies(not(X1),not(implies(X2,X2))),X1)),
inference(spm,[status(thm)],[c_0_34,c_0_23]) ).
cnf(c_0_40,plain,
is_a_theorem(implies(implies(implies(implies(implies(X1,X2),implies(not(X3),not(X4))),X3),X1),implies(X4,X1))),
inference(spm,[status(thm)],[c_0_5,c_0_35]) ).
cnf(c_0_41,plain,
is_a_theorem(implies(X1,implies(implies(implies(X2,X1),X3),implies(X4,X3)))),
inference(spm,[status(thm)],[c_0_31,c_0_36]) ).
cnf(c_0_42,plain,
( is_a_theorem(implies(implies(X1,X2),implies(X3,X2)))
| ~ is_a_theorem(X1) ),
inference(spm,[status(thm)],[c_0_5,c_0_37]) ).
cnf(c_0_43,plain,
is_a_theorem(implies(X1,not(not(implies(X2,X2))))),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_44,plain,
is_a_theorem(implies(implies(implies(X1,X2),implies(X2,X3)),implies(X4,implies(X2,X3)))),
inference(spm,[status(thm)],[c_0_5,c_0_40]) ).
cnf(c_0_45,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(implies(implies(not(X3),not(X1)),X3),X2)) ),
inference(spm,[status(thm)],[c_0_3,c_0_18]) ).
cnf(c_0_46,plain,
is_a_theorem(implies(X1,implies(implies(implies(X2,implies(X3,X3)),X4),implies(X5,X4)))),
inference(spm,[status(thm)],[c_0_9,c_0_41]) ).
cnf(c_0_47,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(X3,X2))
| ~ is_a_theorem(X3) ),
inference(spm,[status(thm)],[c_0_3,c_0_42]) ).
cnf(c_0_48,plain,
is_a_theorem(implies(implies(not(not(implies(X1,X1))),X2),implies(X3,X2))),
inference(spm,[status(thm)],[c_0_5,c_0_43]) ).
cnf(c_0_49,plain,
( is_a_theorem(implies(X1,implies(X2,X3)))
| ~ is_a_theorem(implies(implies(X4,X2),implies(X2,X3))) ),
inference(spm,[status(thm)],[c_0_3,c_0_44]) ).
cnf(c_0_50,plain,
is_a_theorem(implies(X1,implies(X2,not(not(X1))))),
inference(spm,[status(thm)],[c_0_45,c_0_33]) ).
cnf(c_0_51,plain,
is_a_theorem(implies(implies(implies(implies(implies(X1,implies(X2,X2)),X3),implies(X4,X3)),X5),implies(X6,X5))),
inference(spm,[status(thm)],[c_0_5,c_0_46]) ).
cnf(c_0_52,plain,
( is_a_theorem(implies(X1,implies(X2,X3)))
| ~ is_a_theorem(implies(not(not(implies(X4,X4))),X3)) ),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_53,plain,
is_a_theorem(implies(X1,implies(X2,not(not(implies(X3,X2)))))),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_54,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(implies(implies(implies(X3,implies(X4,X4)),X5),implies(X6,X5)),X2)) ),
inference(spm,[status(thm)],[c_0_3,c_0_51]) ).
cnf(c_0_55,plain,
is_a_theorem(implies(X1,implies(X2,implies(X3,not(not(implies(X4,X3))))))),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_56,plain,
is_a_theorem(implies(X1,implies(implies(implies(X2,X3),X4),implies(X3,X4)))),
inference(spm,[status(thm)],[c_0_54,c_0_4]) ).
cnf(c_0_57,plain,
is_a_theorem(implies(implies(implies(X1,implies(X2,not(not(implies(X3,X2))))),X4),implies(X5,X4))),
inference(spm,[status(thm)],[c_0_5,c_0_55]) ).
cnf(c_0_58,plain,
is_a_theorem(implies(implies(implies(implies(implies(X1,X2),X3),implies(X2,X3)),X4),implies(X5,X4))),
inference(spm,[status(thm)],[c_0_5,c_0_56]) ).
cnf(c_0_59,plain,
( is_a_theorem(implies(X1,implies(X2,X3)))
| ~ is_a_theorem(implies(implies(implies(not(X4),not(X2)),X4),X3)) ),
inference(spm,[status(thm)],[c_0_47,c_0_18]) ).
cnf(c_0_60,plain,
is_a_theorem(implies(implies(implies(X1,X2),X3),implies(not(implies(X4,not(X2))),X3))),
inference(spm,[status(thm)],[c_0_5,c_0_57]) ).
cnf(c_0_61,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(implies(implies(implies(X3,X4),X5),implies(X4,X5)),X2)) ),
inference(spm,[status(thm)],[c_0_3,c_0_58]) ).
cnf(c_0_62,plain,
is_a_theorem(implies(X1,implies(X2,implies(not(implies(X3,not(not(X2)))),X4)))),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_63,plain,
is_a_theorem(implies(X1,implies(implies(implies(implies(not(X2),not(X3)),X2),X4),implies(X3,X4)))),
inference(spm,[status(thm)],[c_0_61,c_0_4]) ).
cnf(c_0_64,plain,
is_a_theorem(implies(implies(implies(X1,implies(not(implies(X2,not(not(X1)))),X3)),X4),implies(X5,X4))),
inference(spm,[status(thm)],[c_0_5,c_0_62]) ).
cnf(c_0_65,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(implies(implies(implies(X2,X3),implies(not(X4),not(X1))),X4),X2)) ),
inference(spm,[status(thm)],[c_0_3,c_0_40]) ).
cnf(c_0_66,plain,
is_a_theorem(implies(implies(implies(implies(implies(implies(not(X1),not(X2)),X1),X3),implies(X2,X3)),X4),implies(X5,X4))),
inference(spm,[status(thm)],[c_0_5,c_0_63]) ).
cnf(c_0_67,plain,
is_a_theorem(implies(implies(implies(X1,implies(X2,not(not(implies(X3,X4))))),X3),implies(X5,X3))),
inference(spm,[status(thm)],[c_0_5,c_0_64]) ).
cnf(c_0_68,plain,
is_a_theorem(implies(X1,implies(implies(not(X2),not(not(X2))),X2))),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_69,plain,
( is_a_theorem(not(not(implies(X1,X1))))
| ~ is_a_theorem(X2) ),
inference(spm,[status(thm)],[c_0_3,c_0_43]) ).
cnf(c_0_70,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_47,c_0_42]) ).
cnf(c_0_71,plain,
is_a_theorem(implies(implies(implies(X1,X2),X3),implies(not(implies(X2,X4)),X3))),
inference(spm,[status(thm)],[c_0_5,c_0_67]) ).
cnf(c_0_72,plain,
( is_a_theorem(implies(implies(not(X1),not(not(X1))),X1))
| ~ is_a_theorem(X2) ),
inference(spm,[status(thm)],[c_0_3,c_0_68]) ).
cnf(c_0_73,plain,
is_a_theorem(not(not(implies(X1,X1)))),
inference(spm,[status(thm)],[c_0_69,c_0_23]) ).
cnf(c_0_74,plain,
( is_a_theorem(implies(X1,implies(X2,implies(not(implies(X3,X4)),X5))))
| ~ is_a_theorem(implies(implies(X6,X3),X5)) ),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_75,plain,
is_a_theorem(implies(implies(not(X1),not(not(X1))),X1)),
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
cnf(c_0_76,plain,
is_a_theorem(implies(X1,implies(X2,implies(not(implies(not(not(X3)),X4)),X3)))),
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_77,plain,
is_a_theorem(implies(X1,implies(X2,implies(not(X2),X3)))),
inference(spm,[status(thm)],[c_0_59,c_0_16]) ).
cnf(c_0_78,plain,
is_a_theorem(implies(X1,implies(X2,implies(X3,X1)))),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_79,plain,
is_a_theorem(implies(implies(implies(X1,implies(not(implies(not(not(X2)),X3)),X2)),X4),implies(X5,X4))),
inference(spm,[status(thm)],[c_0_5,c_0_76]) ).
cnf(c_0_80,plain,
is_a_theorem(implies(implies(implies(X1,implies(not(X1),X2)),X3),implies(X4,X3))),
inference(spm,[status(thm)],[c_0_5,c_0_77]) ).
cnf(c_0_81,plain,
( is_a_theorem(implies(X1,implies(X2,X3)))
| ~ is_a_theorem(X3) ),
inference(spm,[status(thm)],[c_0_3,c_0_78]) ).
cnf(c_0_82,plain,
is_a_theorem(implies(implies(implies(X1,implies(not(not(not(X2))),X3)),X4),implies(X2,X4))),
inference(spm,[status(thm)],[c_0_5,c_0_79]) ).
cnf(c_0_83,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(implies(X3,implies(not(X3),X4)),X2)) ),
inference(spm,[status(thm)],[c_0_3,c_0_80]) ).
cnf(c_0_84,plain,
is_a_theorem(implies(implies(implies(X1,X2),implies(X3,not(X2))),implies(X4,implies(X3,not(X2))))),
inference(spm,[status(thm)],[c_0_5,c_0_58]) ).
cnf(c_0_85,plain,
( is_a_theorem(implies(implies(implies(X1,X2),X3),implies(X4,X3)))
| ~ is_a_theorem(X2) ),
inference(spm,[status(thm)],[c_0_5,c_0_81]) ).
cnf(c_0_86,plain,
is_a_theorem(implies(X1,implies(X2,not(not(X2))))),
inference(spm,[status(thm)],[c_0_65,c_0_82]) ).
cnf(c_0_87,plain,
is_a_theorem(implies(X1,implies(X2,implies(not(implies(X3,X4)),not(X4))))),
inference(spm,[status(thm)],[c_0_83,c_0_84]) ).
cnf(c_0_88,plain,
( is_a_theorem(implies(implies(implies(X1,X2),X3),implies(X4,X3)))
| ~ is_a_theorem(implies(not(X2),not(X4))) ),
inference(spm,[status(thm)],[c_0_5,c_0_85]) ).
cnf(c_0_89,plain,
( is_a_theorem(implies(X1,not(not(X1))))
| ~ is_a_theorem(X2) ),
inference(spm,[status(thm)],[c_0_3,c_0_86]) ).
cnf(c_0_90,plain,
is_a_theorem(implies(implies(implies(X1,implies(not(implies(X2,X3)),not(X3))),X4),implies(X5,X4))),
inference(spm,[status(thm)],[c_0_5,c_0_87]) ).
cnf(c_0_91,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(not(X3),not(X1)))
| ~ is_a_theorem(implies(implies(X4,X3),X2)) ),
inference(spm,[status(thm)],[c_0_3,c_0_88]) ).
cnf(c_0_92,plain,
is_a_theorem(implies(X1,not(not(X1)))),
inference(spm,[status(thm)],[c_0_89,c_0_73]) ).
cnf(c_0_93,plain,
is_a_theorem(implies(implies(implies(X1,implies(X2,X3)),X4),implies(X3,X4))),
inference(spm,[status(thm)],[c_0_5,c_0_90]) ).
cnf(c_0_94,plain,
( is_a_theorem(implies(not(not(X1)),X2))
| ~ is_a_theorem(implies(implies(X3,X1),X2)) ),
inference(spm,[status(thm)],[c_0_91,c_0_92]) ).
cnf(c_0_95,plain,
is_a_theorem(implies(implies(implies(not(X1),X2),X3),implies(X1,X3))),
inference(spm,[status(thm)],[c_0_5,c_0_93]) ).
cnf(c_0_96,plain,
is_a_theorem(implies(not(not(X1)),not(not(implies(X2,X1))))),
inference(spm,[status(thm)],[c_0_94,c_0_92]) ).
cnf(c_0_97,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(implies(not(X1),X3),X2)) ),
inference(spm,[status(thm)],[c_0_3,c_0_95]) ).
cnf(c_0_98,plain,
( is_a_theorem(implies(not(implies(X1,X2)),X3))
| ~ is_a_theorem(implies(implies(X4,not(X2)),X3)) ),
inference(spm,[status(thm)],[c_0_91,c_0_96]) ).
cnf(c_0_99,plain,
is_a_theorem(implies(X1,not(not(implies(not(X1),X2))))),
inference(spm,[status(thm)],[c_0_97,c_0_92]) ).
cnf(c_0_100,plain,
is_a_theorem(implies(X1,implies(X2,implies(X3,not(not(X3)))))),
inference(spm,[status(thm)],[c_0_52,c_0_86]) ).
cnf(c_0_101,plain,
( is_a_theorem(implies(X1,implies(X2,X3)))
| ~ is_a_theorem(implies(not(X3),not(not(X3)))) ),
inference(spm,[status(thm)],[c_0_70,c_0_75]) ).
cnf(c_0_102,plain,
is_a_theorem(implies(not(implies(X1,X2)),not(not(implies(not(implies(X3,not(X2))),X4))))),
inference(spm,[status(thm)],[c_0_98,c_0_99]) ).
cnf(c_0_103,plain,
is_a_theorem(implies(implies(implies(X1,implies(X2,not(not(X2)))),X3),implies(X4,X3))),
inference(spm,[status(thm)],[c_0_5,c_0_100]) ).
cnf(c_0_104,plain,
is_a_theorem(implies(X1,implies(X2,implies(not(implies(X3,not(X4))),X4)))),
inference(spm,[status(thm)],[c_0_101,c_0_102]) ).
cnf(c_0_105,plain,
( is_a_theorem(implies(implies(implies(X1,X2),X3),implies(X4,X3)))
| ~ is_a_theorem(implies(implies(X3,X5),implies(not(X2),not(X4)))) ),
inference(spm,[status(thm)],[c_0_5,c_0_42]) ).
cnf(c_0_106,plain,
is_a_theorem(implies(implies(implies(X1,X2),X3),implies(not(not(X2)),X3))),
inference(spm,[status(thm)],[c_0_5,c_0_103]) ).
cnf(c_0_107,plain,
is_a_theorem(implies(implies(implies(X1,implies(not(implies(X2,not(X3))),X3)),X4),implies(X5,X4))),
inference(spm,[status(thm)],[c_0_5,c_0_104]) ).
cnf(c_0_108,plain,
( is_a_theorem(implies(X1,not(not(implies(X2,X1)))))
| ~ is_a_theorem(X3) ),
inference(spm,[status(thm)],[c_0_3,c_0_53]) ).
cnf(c_0_109,plain,
is_a_theorem(implies(implies(implies(X1,not(X2)),implies(X3,X2)),implies(X4,implies(X3,X2)))),
inference(spm,[status(thm)],[c_0_105,c_0_106]) ).
cnf(c_0_110,plain,
is_a_theorem(implies(implies(implies(X1,implies(X2,not(not(X3)))),X4),implies(X3,X4))),
inference(spm,[status(thm)],[c_0_5,c_0_107]) ).
cnf(c_0_111,plain,
is_a_theorem(implies(X1,not(not(implies(X2,X1))))),
inference(spm,[status(thm)],[c_0_108,c_0_73]) ).
cnf(c_0_112,plain,
( is_a_theorem(implies(X1,implies(X2,X3)))
| ~ is_a_theorem(implies(implies(X4,not(X3)),implies(X2,X3))) ),
inference(spm,[status(thm)],[c_0_3,c_0_109]) ).
cnf(c_0_113,plain,
is_a_theorem(implies(implies(implies(X1,X2),X3),implies(not(X1),X3))),
inference(spm,[status(thm)],[c_0_5,c_0_110]) ).
cnf(c_0_114,plain,
is_a_theorem(implies(X1,not(not(implies(X2,implies(X3,X1)))))),
inference(spm,[status(thm)],[c_0_31,c_0_111]) ).
cnf(c_0_115,plain,
is_a_theorem(implies(X1,implies(implies(not(implies(X2,X3)),X3),implies(X2,X3)))),
inference(spm,[status(thm)],[c_0_112,c_0_4]) ).
cnf(c_0_116,plain,
( is_a_theorem(implies(not(X1),X2))
| ~ is_a_theorem(implies(implies(X1,X3),X2)) ),
inference(spm,[status(thm)],[c_0_3,c_0_113]) ).
cnf(c_0_117,plain,
is_a_theorem(implies(X1,not(not(implies(X2,implies(X3,implies(X4,X1))))))),
inference(spm,[status(thm)],[c_0_31,c_0_114]) ).
cnf(c_0_118,plain,
( is_a_theorem(implies(implies(not(implies(X1,X2)),X2),implies(X1,X2)))
| ~ is_a_theorem(X3) ),
inference(spm,[status(thm)],[c_0_3,c_0_115]) ).
cnf(c_0_119,plain,
is_a_theorem(implies(not(X1),not(not(implies(X2,implies(X3,implies(X4,implies(X1,X5)))))))),
inference(spm,[status(thm)],[c_0_116,c_0_117]) ).
cnf(c_0_120,plain,
is_a_theorem(implies(implies(not(implies(X1,X2)),X2),implies(X1,X2))),
inference(spm,[status(thm)],[c_0_118,c_0_73]) ).
cnf(c_0_121,plain,
( is_a_theorem(implies(not(implies(X1,implies(X2,implies(X3,implies(X4,X5))))),X6))
| ~ is_a_theorem(implies(implies(X7,X4),X6)) ),
inference(spm,[status(thm)],[c_0_91,c_0_119]) ).
cnf(c_0_122,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(not(implies(X1,X2)),X2)) ),
inference(spm,[status(thm)],[c_0_3,c_0_120]) ).
cnf(c_0_123,plain,
is_a_theorem(implies(not(implies(X1,implies(X2,implies(X3,implies(X4,X5))))),implies(implies(X4,X6),implies(X7,X6)))),
inference(spm,[status(thm)],[c_0_121,c_0_4]) ).
cnf(c_0_124,plain,
is_a_theorem(implies(X1,implies(implies(X2,implies(X2,X3)),implies(X4,implies(X2,X3))))),
inference(spm,[status(thm)],[c_0_122,c_0_123]) ).
cnf(c_0_125,plain,
( is_a_theorem(implies(implies(X1,implies(X1,X2)),implies(X3,implies(X1,X2))))
| ~ is_a_theorem(X4) ),
inference(spm,[status(thm)],[c_0_3,c_0_124]) ).
cnf(c_0_126,plain,
is_a_theorem(implies(not(not(X1)),not(not(implies(X2,implies(X3,implies(X4,X1))))))),
inference(spm,[status(thm)],[c_0_94,c_0_114]) ).
cnf(c_0_127,plain,
is_a_theorem(implies(implies(X1,implies(X1,X2)),implies(X3,implies(X1,X2)))),
inference(spm,[status(thm)],[c_0_125,c_0_73]) ).
cnf(c_0_128,plain,
( is_a_theorem(implies(not(implies(X1,implies(X2,implies(X3,X4)))),X5))
| ~ is_a_theorem(implies(implies(X6,not(X4)),X5)) ),
inference(spm,[status(thm)],[c_0_91,c_0_126]) ).
cnf(c_0_129,plain,
( is_a_theorem(implies(X1,implies(X2,X3)))
| ~ is_a_theorem(implies(X2,implies(X2,X3))) ),
inference(spm,[status(thm)],[c_0_3,c_0_127]) ).
cnf(c_0_130,plain,
is_a_theorem(implies(not(implies(X1,implies(X2,implies(X3,X4)))),implies(implies(not(X4),X5),implies(X6,X5)))),
inference(spm,[status(thm)],[c_0_128,c_0_4]) ).
cnf(c_0_131,plain,
is_a_theorem(implies(X1,implies(implies(implies(X2,X2),X3),X3))),
inference(spm,[status(thm)],[c_0_129,c_0_8]) ).
cnf(c_0_132,plain,
is_a_theorem(implies(X1,implies(implies(not(X2),X2),implies(X3,X2)))),
inference(spm,[status(thm)],[c_0_122,c_0_130]) ).
cnf(c_0_133,plain,
( is_a_theorem(implies(implies(implies(X1,X1),X2),X2))
| ~ is_a_theorem(X3) ),
inference(spm,[status(thm)],[c_0_3,c_0_131]) ).
cnf(c_0_134,plain,
( is_a_theorem(implies(implies(not(X1),X1),implies(X2,X1)))
| ~ is_a_theorem(X3) ),
inference(spm,[status(thm)],[c_0_3,c_0_132]) ).
cnf(c_0_135,plain,
is_a_theorem(implies(implies(implies(X1,X1),X2),X2)),
inference(spm,[status(thm)],[c_0_133,c_0_73]) ).
cnf(c_0_136,plain,
is_a_theorem(implies(implies(not(X1),X1),implies(X2,X1))),
inference(spm,[status(thm)],[c_0_134,c_0_73]) ).
cnf(c_0_137,plain,
( is_a_theorem(X1)
| ~ is_a_theorem(implies(implies(X2,X2),X1)) ),
inference(spm,[status(thm)],[c_0_3,c_0_135]) ).
cnf(c_0_138,plain,
is_a_theorem(implies(X1,implies(implies(not(X2),X2),X2))),
inference(spm,[status(thm)],[c_0_129,c_0_136]) ).
cnf(c_0_139,negated_conjecture,
~ is_a_theorem(implies(implies(not(a),a),a)),
prove_cn_2 ).
cnf(c_0_140,plain,
is_a_theorem(implies(implies(not(X1),X1),X1)),
inference(spm,[status(thm)],[c_0_137,c_0_138]) ).
cnf(c_0_141,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_139,c_0_140])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.09 % Problem : LCL074-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.10 % Command : run_E %s %d THM
% 0.10/0.30 % Computer : n010.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 2400
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Mon Oct 2 13:01:05 EDT 2023
% 0.10/0.30 % CPUTime :
% 0.14/0.40 Running first-order model finding
% 0.14/0.40 Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.GtBJbSUffA/E---3.1_15175.p
% 1028.39/130.54 # Version: 3.1pre001
% 1028.39/130.54 # Preprocessing class: FSSSSMSSSSSNFFN.
% 1028.39/130.54 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1028.39/130.54 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 1028.39/130.54 # Starting new_bool_3 with 300s (1) cores
% 1028.39/130.54 # Starting new_bool_1 with 300s (1) cores
% 1028.39/130.54 # Starting sh5l with 300s (1) cores
% 1028.39/130.54 # new_bool_3 with pid 15253 completed with status 0
% 1028.39/130.54 # Result found by new_bool_3
% 1028.39/130.54 # Preprocessing class: FSSSSMSSSSSNFFN.
% 1028.39/130.54 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1028.39/130.54 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 1028.39/130.54 # Starting new_bool_3 with 300s (1) cores
% 1028.39/130.54 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 1028.39/130.54 # Search class: FHUNF-FFSF21-DFFFFFNN
% 1028.39/130.54 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 1028.39/130.54 # Starting G----_0019_C18_F1_PI_SE_CS_SP_S0Y with 181s (1) cores
% 1028.39/130.54 # G----_0019_C18_F1_PI_SE_CS_SP_S0Y with pid 15257 completed with status 0
% 1028.39/130.54 # Result found by G----_0019_C18_F1_PI_SE_CS_SP_S0Y
% 1028.39/130.54 # Preprocessing class: FSSSSMSSSSSNFFN.
% 1028.39/130.54 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1028.39/130.54 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 1028.39/130.54 # Starting new_bool_3 with 300s (1) cores
% 1028.39/130.54 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 1028.39/130.54 # Search class: FHUNF-FFSF21-DFFFFFNN
% 1028.39/130.54 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 1028.39/130.54 # Starting G----_0019_C18_F1_PI_SE_CS_SP_S0Y with 181s (1) cores
% 1028.39/130.54 # Preprocessing time : 0.001 s
% 1028.39/130.54
% 1028.39/130.54 # Proof found!
% 1028.39/130.54 # SZS status Unsatisfiable
% 1028.39/130.54 # SZS output start CNFRefutation
% See solution above
% 1028.39/130.55 # Parsed axioms : 3
% 1028.39/130.55 # Removed by relevancy pruning/SinE : 0
% 1028.39/130.55 # Initial clauses : 3
% 1028.39/130.55 # Removed in clause preprocessing : 0
% 1028.39/130.55 # Initial clauses in saturation : 3
% 1028.39/130.55 # Processed clauses : 672203
% 1028.39/130.55 # ...of these trivial : 314901
% 1028.39/130.55 # ...subsumed : 338651
% 1028.39/130.55 # ...remaining for further processing : 18651
% 1028.39/130.55 # Other redundant clauses eliminated : 0
% 1028.39/130.55 # Clauses deleted for lack of memory : 96651
% 1028.39/130.55 # Backward-subsumed : 56
% 1028.39/130.55 # Backward-rewritten : 913
% 1028.39/130.55 # Generated clauses : 11112407
% 1028.39/130.55 # ...of the previous two non-redundant : 6604356
% 1028.39/130.55 # ...aggressively subsumed : 0
% 1028.39/130.55 # Contextual simplify-reflections : 0
% 1028.39/130.55 # Paramodulations : 11112407
% 1028.39/130.55 # Factorizations : 0
% 1028.39/130.55 # NegExts : 0
% 1028.39/130.55 # Equation resolutions : 0
% 1028.39/130.55 # Total rewrite steps : 4823021
% 1028.39/130.55 # Propositional unsat checks : 0
% 1028.39/130.55 # Propositional check models : 0
% 1028.39/130.55 # Propositional check unsatisfiable : 0
% 1028.39/130.55 # Propositional clauses : 0
% 1028.39/130.55 # Propositional clauses after purity: 0
% 1028.39/130.55 # Propositional unsat core size : 0
% 1028.39/130.55 # Propositional preprocessing time : 0.000
% 1028.39/130.55 # Propositional encoding time : 0.000
% 1028.39/130.55 # Propositional solver time : 0.000
% 1028.39/130.55 # Success case prop preproc time : 0.000
% 1028.39/130.55 # Success case prop encoding time : 0.000
% 1028.39/130.55 # Success case prop solver time : 0.000
% 1028.39/130.55 # Current number of processed clauses : 17682
% 1028.39/130.55 # Positive orientable unit clauses : 13529
% 1028.39/130.55 # Positive unorientable unit clauses: 0
% 1028.39/130.55 # Negative unit clauses : 1
% 1028.39/130.55 # Non-unit-clauses : 4152
% 1028.39/130.55 # Current number of unprocessed clauses: 1582272
% 1028.39/130.55 # ...number of literals in the above : 1845112
% 1028.39/130.55 # Current number of archived formulas : 0
% 1028.39/130.55 # Current number of archived clauses : 969
% 1028.39/130.55 # Clause-clause subsumption calls (NU) : 35807170
% 1028.39/130.55 # Rec. Clause-clause subsumption calls : 35806580
% 1028.39/130.55 # Non-unit clause-clause subsumptions : 338707
% 1028.39/130.55 # Unit Clause-clause subsumption calls : 155316
% 1028.39/130.55 # Rewrite failures with RHS unbound : 0
% 1028.39/130.55 # BW rewrite match attempts : 38640460
% 1028.39/130.55 # BW rewrite match successes : 913
% 1028.39/130.55 # Condensation attempts : 0
% 1028.39/130.55 # Condensation successes : 0
% 1028.39/130.55 # Termbank termtop insertions : 152693724
% 1028.39/130.55
% 1028.39/130.55 # -------------------------------------------------
% 1028.39/130.55 # User time : 127.338 s
% 1028.39/130.55 # System time : 1.592 s
% 1028.39/130.55 # Total time : 128.930 s
% 1028.39/130.55 # Maximum resident set size: 1640 pages
% 1028.39/130.55
% 1028.39/130.55 # -------------------------------------------------
% 1028.39/130.55 # User time : 127.342 s
% 1028.39/130.55 # System time : 1.596 s
% 1028.39/130.55 # Total time : 128.938 s
% 1028.39/130.55 # Maximum resident set size: 1676 pages
% 1028.39/130.55 % E---3.1 exiting
%------------------------------------------------------------------------------