TSTP Solution File: LCL394-1 by E---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : LCL394-1 : TPTP v8.1.2. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n011.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 18:12:37 EDT 2023
% Result : Unsatisfiable 34.98s 5.01s
% Output : CNFRefutation 34.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 5
% Syntax : Number of clauses : 105 ( 44 unt; 0 nHn; 39 RR)
% Number of literals : 185 ( 0 equ; 87 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 8 ( 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 : 240 ( 57 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.ieluCeAa1m/E---3.1_31470.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.ieluCeAa1m/E---3.1_31470.p',cn_1) ).
cnf(cn_2,axiom,
is_a_theorem(implies(implies(not(X1),X1),X1)),
file('/export/starexec/sandbox2/tmp/tmp.ieluCeAa1m/E---3.1_31470.p',cn_2) ).
cnf(cn_3,axiom,
is_a_theorem(implies(X1,implies(not(X1),X2))),
file('/export/starexec/sandbox2/tmp/tmp.ieluCeAa1m/E---3.1_31470.p',cn_3) ).
cnf(prove_cn_58,negated_conjecture,
~ is_a_theorem(implies(implies(implies(implies(x,y),implies(implies(y,z),z)),u),implies(implies(not(x),z),u))),
file('/export/starexec/sandbox2/tmp/tmp.ieluCeAa1m/E---3.1_31470.p',prove_cn_58) ).
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,implies(not(implies(X2,X1)),X3))),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_47,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_48,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(implies(X3,X1),X2)) ),
inference(spm,[status(thm)],[c_0_35,c_0_46]) ).
cnf(c_0_49,plain,
is_a_theorem(implies(implies(not(X1),not(not(X1))),X1)),
inference(spm,[status(thm)],[c_0_40,c_0_47]) ).
cnf(c_0_50,plain,
is_a_theorem(implies(not(not(X1)),X1)),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_51,plain,
is_a_theorem(implies(X1,not(not(X1)))),
inference(spm,[status(thm)],[c_0_14,c_0_50]) ).
cnf(c_0_52,plain,
is_a_theorem(implies(X1,not(not(implies(X2,X1))))),
inference(spm,[status(thm)],[c_0_48,c_0_51]) ).
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(not(implies(X1,not(X2))),X2)),
inference(spm,[status(thm)],[c_0_14,c_0_52]) ).
cnf(c_0_55,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_56,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_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(X1,implies(X2,not(not(X1))))),
inference(spm,[status(thm)],[c_0_14,c_0_54]) ).
cnf(c_0_59,plain,
( is_a_theorem(X1)
| ~ is_a_theorem(implies(implies(X2,X3),X1))
| ~ is_a_theorem(X3) ),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_60,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_61,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(X1,not(X3)))
| ~ is_a_theorem(implies(not(X3),X3)) ),
inference(spm,[status(thm)],[c_0_8,c_0_57]) ).
cnf(c_0_62,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(not(not(X1)),X2)) ),
inference(spm,[status(thm)],[c_0_35,c_0_58]) ).
cnf(c_0_63,plain,
( is_a_theorem(implies(implies(X1,X2),implies(X3,X2)))
| ~ is_a_theorem(X1) ),
inference(spm,[status(thm)],[c_0_59,c_0_6]) ).
cnf(c_0_64,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(not(not(X2))) ),
inference(spm,[status(thm)],[c_0_14,c_0_60]) ).
cnf(c_0_65,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_55,c_0_17]) ).
cnf(c_0_66,plain,
( is_a_theorem(implies(implies(not(not(X1)),not(X1)),X2))
| ~ is_a_theorem(implies(not(X1),X1)) ),
inference(spm,[status(thm)],[c_0_61,c_0_9]) ).
cnf(c_0_67,plain,
( is_a_theorem(implies(implies(not(X1),X1),X2))
| ~ is_a_theorem(implies(X1,implies(not(X2),X2))) ),
inference(spm,[status(thm)],[c_0_12,c_0_30]) ).
cnf(c_0_68,plain,
is_a_theorem(implies(X1,implies(X2,not(not(not(not(X1))))))),
inference(spm,[status(thm)],[c_0_62,c_0_58]) ).
cnf(c_0_69,plain,
( is_a_theorem(implies(not(implies(X1,X2)),X3))
| ~ is_a_theorem(implies(X4,X2))
| ~ is_a_theorem(implies(X1,X4)) ),
inference(spm,[status(thm)],[c_0_53,c_0_7]) ).
cnf(c_0_70,plain,
( is_a_theorem(implies(implies(X1,X2),X2))
| ~ is_a_theorem(X1) ),
inference(spm,[status(thm)],[c_0_12,c_0_63]) ).
cnf(c_0_71,plain,
( is_a_theorem(implies(implies(X1,X2),implies(X3,X2)))
| ~ is_a_theorem(not(not(implies(X3,X1)))) ),
inference(spm,[status(thm)],[c_0_33,c_0_64]) ).
cnf(c_0_72,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_65,c_0_66]) ).
cnf(c_0_73,plain,
is_a_theorem(implies(implies(not(X1),X1),not(not(not(not(X1)))))),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_74,plain,
is_a_theorem(implies(implies(not(X1),not(X2)),implies(X2,X1))),
inference(spm,[status(thm)],[c_0_40,c_0_45]) ).
cnf(c_0_75,negated_conjecture,
~ is_a_theorem(implies(implies(implies(implies(x,y),implies(implies(y,z),z)),u),implies(implies(not(x),z),u))),
prove_cn_58 ).
cnf(c_0_76,plain,
( is_a_theorem(not(X1))
| ~ is_a_theorem(implies(X1,not(X1))) ),
inference(spm,[status(thm)],[c_0_55,c_0_50]) ).
cnf(c_0_77,plain,
( is_a_theorem(implies(not(implies(X1,X2)),X3))
| ~ is_a_theorem(implies(X1,not(not(X2)))) ),
inference(spm,[status(thm)],[c_0_69,c_0_50]) ).
cnf(c_0_78,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_70]) ).
cnf(c_0_79,plain,
( is_a_theorem(implies(X1,implies(not(implies(X2,X3)),X4)))
| ~ is_a_theorem(not(not(implies(X2,not(X1))))) ),
inference(spm,[status(thm)],[c_0_43,c_0_71]) ).
cnf(c_0_80,plain,
( is_a_theorem(not(not(X1)))
| ~ is_a_theorem(implies(not(X1),X1)) ),
inference(spm,[status(thm)],[c_0_72,c_0_50]) ).
cnf(c_0_81,plain,
is_a_theorem(implies(X1,implies(X2,not(not(not(not(X2))))))),
inference(spm,[status(thm)],[c_0_22,c_0_73]) ).
cnf(c_0_82,plain,
is_a_theorem(implies(not(X1),implies(X1,X2))),
inference(spm,[status(thm)],[c_0_48,c_0_74]) ).
cnf(c_0_83,negated_conjecture,
~ is_a_theorem(not(not(implies(implies(not(x),z),implies(implies(x,y),implies(implies(y,z),z)))))),
inference(spm,[status(thm)],[c_0_75,c_0_71]) ).
cnf(c_0_84,plain,
( is_a_theorem(not(not(implies(X1,X2))))
| ~ is_a_theorem(implies(X1,not(not(X2)))) ),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_85,plain,
( is_a_theorem(implies(implies(X1,X2),implies(X1,X3)))
| ~ is_a_theorem(implies(X2,X3)) ),
inference(spm,[status(thm)],[c_0_78,c_0_6]) ).
cnf(c_0_86,plain,
( is_a_theorem(implies(X1,implies(X2,X3)))
| ~ is_a_theorem(not(not(implies(X2,not(X1))))) ),
inference(spm,[status(thm)],[c_0_12,c_0_79]) ).
cnf(c_0_87,plain,
is_a_theorem(not(not(implies(X1,not(not(not(not(X1)))))))),
inference(spm,[status(thm)],[c_0_80,c_0_81]) ).
cnf(c_0_88,plain,
( is_a_theorem(implies(not(not(X1)),X2))
| ~ is_a_theorem(implies(X1,X2)) ),
inference(spm,[status(thm)],[c_0_35,c_0_82]) ).
cnf(c_0_89,negated_conjecture,
~ is_a_theorem(implies(implies(not(x),z),not(not(implies(implies(x,y),implies(implies(y,z),z)))))),
inference(spm,[status(thm)],[c_0_83,c_0_84]) ).
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_21,c_0_85]) ).
cnf(c_0_91,plain,
is_a_theorem(implies(X1,not(not(implies(X2,implies(X3,X1)))))),
inference(spm,[status(thm)],[c_0_48,c_0_52]) ).
cnf(c_0_92,plain,
is_a_theorem(implies(not(not(not(X1))),implies(X1,X2))),
inference(spm,[status(thm)],[c_0_86,c_0_87]) ).
cnf(c_0_93,plain,
( is_a_theorem(implies(not(not(X1)),X2))
| ~ is_a_theorem(implies(X1,implies(not(X2),X2))) ),
inference(spm,[status(thm)],[c_0_12,c_0_88]) ).
cnf(c_0_94,plain,
is_a_theorem(implies(X1,implies(not(implies(implies(X1,X2),X2)),X3))),
inference(spm,[status(thm)],[c_0_48,c_0_36]) ).
cnf(c_0_95,negated_conjecture,
~ is_a_theorem(implies(not(not(not(implies(implies(x,y),implies(implies(y,z),z))))),not(x))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_91])]) ).
cnf(c_0_96,plain,
( is_a_theorem(implies(not(not(not(X1))),X2))
| ~ is_a_theorem(implies(not(X2),X1)) ),
inference(spm,[status(thm)],[c_0_21,c_0_92]) ).
cnf(c_0_97,plain,
is_a_theorem(implies(not(not(X1)),implies(implies(X1,X2),X2))),
inference(spm,[status(thm)],[c_0_93,c_0_94]) ).
cnf(c_0_98,negated_conjecture,
~ is_a_theorem(implies(not(not(x)),implies(implies(x,y),implies(implies(y,z),z)))),
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
cnf(c_0_99,plain,
( is_a_theorem(implies(not(not(X1)),implies(X2,X3)))
| ~ is_a_theorem(implies(X2,implies(X1,X3))) ),
inference(spm,[status(thm)],[c_0_10,c_0_97]) ).
cnf(c_0_100,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_101,negated_conjecture,
~ is_a_theorem(implies(implies(x,y),implies(x,implies(implies(y,z),z)))),
inference(spm,[status(thm)],[c_0_98,c_0_99]) ).
cnf(c_0_102,plain,
( is_a_theorem(implies(implies(X1,X2),implies(X3,X4)))
| ~ is_a_theorem(implies(X3,X1))
| ~ is_a_theorem(implies(X2,X4)) ),
inference(spm,[status(thm)],[c_0_10,c_0_85]) ).
cnf(c_0_103,plain,
is_a_theorem(implies(X1,implies(implies(X1,X2),X2))),
inference(spm,[status(thm)],[c_0_48,c_0_100]) ).
cnf(c_0_104,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_39]),c_0_103])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.14 % Problem : LCL394-1 : TPTP v8.1.2. Released v2.3.0.
% 0.09/0.15 % Command : run_E %s %d THM
% 0.15/0.38 % Computer : n011.cluster.edu
% 0.15/0.38 % Model : x86_64 x86_64
% 0.15/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.38 % Memory : 8042.1875MB
% 0.15/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.38 % CPULimit : 2400
% 0.15/0.38 % WCLimit : 300
% 0.15/0.38 % DateTime : Mon Oct 2 11:47:23 EDT 2023
% 0.15/0.38 % CPUTime :
% 0.23/0.53 Running first-order theorem proving
% 0.23/0.53 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.ieluCeAa1m/E---3.1_31470.p
% 34.98/5.01 # Version: 3.1pre001
% 34.98/5.01 # Preprocessing class: FSSSSMSSSSSNFFN.
% 34.98/5.01 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 34.98/5.01 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 34.98/5.01 # Starting new_bool_3 with 300s (1) cores
% 34.98/5.01 # Starting new_bool_1 with 300s (1) cores
% 34.98/5.01 # Starting sh5l with 300s (1) cores
% 34.98/5.01 # G-E--_302_C18_F1_URBAN_RG_S04BN with pid 31549 completed with status 0
% 34.98/5.01 # Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 34.98/5.01 # Preprocessing class: FSSSSMSSSSSNFFN.
% 34.98/5.01 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 34.98/5.01 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 34.98/5.01 # No SInE strategy applied
% 34.98/5.01 # Search class: FHUNS-FFSF21-MFFFFFNN
% 34.98/5.01 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 34.98/5.01 # Starting H----_011_C07_F1_PI_AE_Q4_CS_SP_PS_S0V with 811s (1) cores
% 34.98/5.01 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 34.98/5.01 # Starting H----_011_C07_F1_PI_SE_SP_S0V with 136s (1) cores
% 34.98/5.01 # Starting new_bool_3 with 136s (1) cores
% 34.98/5.01 # Starting new_bool_1 with 136s (1) cores
% 34.98/5.01 # H----_011_C07_F1_PI_SE_SP_S0V with pid 31557 completed with status 0
% 34.98/5.01 # Result found by H----_011_C07_F1_PI_SE_SP_S0V
% 34.98/5.01 # Preprocessing class: FSSSSMSSSSSNFFN.
% 34.98/5.01 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 34.98/5.01 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 34.98/5.01 # No SInE strategy applied
% 34.98/5.01 # Search class: FHUNS-FFSF21-MFFFFFNN
% 34.98/5.01 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 34.98/5.01 # Starting H----_011_C07_F1_PI_AE_Q4_CS_SP_PS_S0V with 811s (1) cores
% 34.98/5.01 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 34.98/5.01 # Starting H----_011_C07_F1_PI_SE_SP_S0V with 136s (1) cores
% 34.98/5.01 # Preprocessing time : 0.001 s
% 34.98/5.01
% 34.98/5.01 # Proof found!
% 34.98/5.01 # SZS status Unsatisfiable
% 34.98/5.01 # SZS output start CNFRefutation
% See solution above
% 34.98/5.01 # Parsed axioms : 5
% 34.98/5.01 # Removed by relevancy pruning/SinE : 0
% 34.98/5.01 # Initial clauses : 5
% 34.98/5.01 # Removed in clause preprocessing : 0
% 34.98/5.01 # Initial clauses in saturation : 5
% 34.98/5.01 # Processed clauses : 70920
% 34.98/5.01 # ...of these trivial : 542
% 34.98/5.01 # ...subsumed : 65829
% 34.98/5.01 # ...remaining for further processing : 4549
% 34.98/5.01 # Other redundant clauses eliminated : 0
% 34.98/5.01 # Clauses deleted for lack of memory : 0
% 34.98/5.01 # Backward-subsumed : 1385
% 34.98/5.01 # Backward-rewritten : 226
% 34.98/5.01 # Generated clauses : 344549
% 34.98/5.01 # ...of the previous two non-redundant : 329694
% 34.98/5.01 # ...aggressively subsumed : 0
% 34.98/5.01 # Contextual simplify-reflections : 0
% 34.98/5.01 # Paramodulations : 344549
% 34.98/5.01 # Factorizations : 0
% 34.98/5.01 # NegExts : 0
% 34.98/5.01 # Equation resolutions : 0
% 34.98/5.01 # Total rewrite steps : 17593
% 34.98/5.01 # Propositional unsat checks : 0
% 34.98/5.01 # Propositional check models : 0
% 34.98/5.01 # Propositional check unsatisfiable : 0
% 34.98/5.01 # Propositional clauses : 0
% 34.98/5.01 # Propositional clauses after purity: 0
% 34.98/5.01 # Propositional unsat core size : 0
% 34.98/5.01 # Propositional preprocessing time : 0.000
% 34.98/5.01 # Propositional encoding time : 0.000
% 34.98/5.01 # Propositional solver time : 0.000
% 34.98/5.01 # Success case prop preproc time : 0.000
% 34.98/5.01 # Success case prop encoding time : 0.000
% 34.98/5.01 # Success case prop solver time : 0.000
% 34.98/5.01 # Current number of processed clauses : 2938
% 34.98/5.01 # Positive orientable unit clauses : 438
% 34.98/5.01 # Positive unorientable unit clauses: 0
% 34.98/5.01 # Negative unit clauses : 810
% 34.98/5.01 # Non-unit-clauses : 1690
% 34.98/5.01 # Current number of unprocessed clauses: 258462
% 34.98/5.01 # ...number of literals in the above : 898257
% 34.98/5.01 # Current number of archived formulas : 0
% 34.98/5.01 # Current number of archived clauses : 1611
% 34.98/5.01 # Clause-clause subsumption calls (NU) : 1232846
% 34.98/5.01 # Rec. Clause-clause subsumption calls : 734896
% 34.98/5.01 # Non-unit clause-clause subsumptions : 40775
% 34.98/5.01 # Unit Clause-clause subsumption calls : 124915
% 34.98/5.01 # Rewrite failures with RHS unbound : 0
% 34.98/5.01 # BW rewrite match attempts : 105932
% 34.98/5.01 # BW rewrite match successes : 24
% 34.98/5.01 # Condensation attempts : 0
% 34.98/5.01 # Condensation successes : 0
% 34.98/5.01 # Termbank termtop insertions : 4965040
% 34.98/5.01
% 34.98/5.01 # -------------------------------------------------
% 34.98/5.01 # User time : 4.191 s
% 34.98/5.01 # System time : 0.121 s
% 34.98/5.01 # Total time : 4.311 s
% 34.98/5.01 # Maximum resident set size: 1596 pages
% 34.98/5.01
% 34.98/5.01 # -------------------------------------------------
% 34.98/5.01 # User time : 21.263 s
% 34.98/5.01 # System time : 0.387 s
% 34.98/5.01 # Total time : 21.650 s
% 34.98/5.01 # Maximum resident set size: 1680 pages
% 34.98/5.01 % E---3.1 exiting
% 34.98/5.01 % E---3.1 exiting
%------------------------------------------------------------------------------