TSTP Solution File: LCL037-1 by E---3.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : LCL037-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n016.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 18:11:19 EDT 2023
% Result : Unsatisfiable 308.45s 40.53s
% Output : CNFRefutation 308.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 61
% Number of leaves : 3
% Syntax : Number of clauses : 141 ( 79 unt; 0 nHn; 31 RR)
% Number of literals : 210 ( 0 equ; 71 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 472 ( 211 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.6SnaOM10Ix/E---3.1_19863.p',condensed_detachment) ).
cnf(c0_CAMerideth,axiom,
is_a_theorem(implies(implies(implies(implies(implies(X1,X2),implies(X3,falsehood)),X4),X5),implies(implies(X5,X1),implies(X3,X1)))),
file('/export/starexec/sandbox/tmp/tmp.6SnaOM10Ix/E---3.1_19863.p',c0_CAMerideth) ).
cnf(prove_c0_6,negated_conjecture,
~ is_a_theorem(implies(implies(a,implies(b,c)),implies(implies(a,b),implies(a,c)))),
file('/export/starexec/sandbox/tmp/tmp.6SnaOM10Ix/E---3.1_19863.p',prove_c0_6) ).
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(X3,falsehood)),X4),X5),implies(implies(X5,X1),implies(X3,X1)))),
c0_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(X3,falsehood)),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(falsehood,X2)),X3),implies(X4,X3))),
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(implies(X3,implies(falsehood,X4)),X2)) ),
inference(spm,[status(thm)],[c_0_3,c_0_7]) ).
cnf(c_0_9,plain,
is_a_theorem(implies(implies(implies(X1,X2),X3),implies(falsehood,X3))),
inference(spm,[status(thm)],[c_0_5,c_0_7]) ).
cnf(c_0_10,plain,
is_a_theorem(implies(X1,implies(X2,implies(falsehood,X3)))),
inference(spm,[status(thm)],[c_0_8,c_0_6]) ).
cnf(c_0_11,plain,
( is_a_theorem(implies(falsehood,X1))
| ~ is_a_theorem(implies(implies(X2,X3),X1)) ),
inference(spm,[status(thm)],[c_0_3,c_0_9]) ).
cnf(c_0_12,plain,
( is_a_theorem(implies(X1,implies(falsehood,X2)))
| ~ is_a_theorem(X3) ),
inference(spm,[status(thm)],[c_0_3,c_0_10]) ).
cnf(c_0_13,plain,
is_a_theorem(implies(falsehood,implies(X1,X2))),
inference(spm,[status(thm)],[c_0_11,c_0_7]) ).
cnf(c_0_14,plain,
( is_a_theorem(implies(X1,implies(X2,X3)))
| ~ is_a_theorem(implies(implies(implies(X4,X2),implies(X5,X2)),implies(X2,X3))) ),
inference(spm,[status(thm)],[c_0_3,c_0_6]) ).
cnf(c_0_15,plain,
is_a_theorem(implies(implies(implies(falsehood,X1),X2),implies(X3,X2))),
inference(spm,[status(thm)],[c_0_5,c_0_9]) ).
cnf(c_0_16,plain,
is_a_theorem(implies(X1,implies(falsehood,X2))),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_17,plain,
is_a_theorem(implies(X1,implies(X2,implies(X3,X2)))),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_18,plain,
( is_a_theorem(implies(falsehood,X1))
| ~ is_a_theorem(X2) ),
inference(spm,[status(thm)],[c_0_3,c_0_16]) ).
cnf(c_0_19,plain,
( is_a_theorem(implies(X1,implies(X2,X1)))
| ~ is_a_theorem(X3) ),
inference(spm,[status(thm)],[c_0_3,c_0_17]) ).
cnf(c_0_20,plain,
is_a_theorem(implies(falsehood,X1)),
inference(spm,[status(thm)],[c_0_18,c_0_13]) ).
cnf(c_0_21,plain,
is_a_theorem(implies(X1,implies(X2,X1))),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_22,plain,
is_a_theorem(implies(implies(implies(X1,implies(X2,X1)),X3),implies(X4,X3))),
inference(spm,[status(thm)],[c_0_5,c_0_17]) ).
cnf(c_0_23,plain,
is_a_theorem(implies(implies(implies(X1,implies(implies(implies(X2,X3),implies(X4,falsehood)),X5)),X2),implies(X4,X2))),
inference(spm,[status(thm)],[c_0_5,c_0_21]) ).
cnf(c_0_24,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(implies(X3,implies(X4,X3)),X2)) ),
inference(spm,[status(thm)],[c_0_3,c_0_22]) ).
cnf(c_0_25,plain,
is_a_theorem(implies(implies(implies(X1,X2),X3),implies(implies(implies(X2,X4),implies(X1,falsehood)),X3))),
inference(spm,[status(thm)],[c_0_5,c_0_23]) ).
cnf(c_0_26,plain,
is_a_theorem(implies(X1,implies(implies(implies(X2,X3),implies(X4,falsehood)),implies(X5,implies(X4,X2))))),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_27,plain,
( is_a_theorem(implies(implies(implies(X1,X2),implies(X3,falsehood)),implies(X4,implies(X3,X1))))
| ~ is_a_theorem(X5) ),
inference(spm,[status(thm)],[c_0_3,c_0_26]) ).
cnf(c_0_28,plain,
is_a_theorem(implies(implies(implies(X1,X2),implies(X3,falsehood)),implies(X4,implies(X3,X1)))),
inference(spm,[status(thm)],[c_0_27,c_0_20]) ).
cnf(c_0_29,plain,
( is_a_theorem(implies(X1,implies(X2,X3)))
| ~ is_a_theorem(implies(implies(X3,X4),implies(X2,falsehood))) ),
inference(spm,[status(thm)],[c_0_3,c_0_28]) ).
cnf(c_0_30,plain,
is_a_theorem(implies(X1,implies(implies(implies(X2,X3),implies(X4,falsehood)),implies(X4,X2)))),
inference(spm,[status(thm)],[c_0_29,c_0_25]) ).
cnf(c_0_31,plain,
( is_a_theorem(implies(implies(implies(X1,X2),implies(X3,falsehood)),implies(X3,X1)))
| ~ is_a_theorem(X4) ),
inference(spm,[status(thm)],[c_0_3,c_0_30]) ).
cnf(c_0_32,plain,
is_a_theorem(implies(implies(implies(X1,X2),implies(X3,falsehood)),implies(X3,X1))),
inference(spm,[status(thm)],[c_0_31,c_0_20]) ).
cnf(c_0_33,plain,
is_a_theorem(implies(implies(implies(X1,implies(X2,X3)),X2),implies(X4,X2))),
inference(spm,[status(thm)],[c_0_5,c_0_32]) ).
cnf(c_0_34,plain,
is_a_theorem(implies(implies(implies(X1,X2),X3),implies(X2,X3))),
inference(spm,[status(thm)],[c_0_5,c_0_33]) ).
cnf(c_0_35,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(implies(X3,X1),X2)) ),
inference(spm,[status(thm)],[c_0_3,c_0_34]) ).
cnf(c_0_36,plain,
is_a_theorem(implies(implies(X1,falsehood),implies(X1,X2))),
inference(spm,[status(thm)],[c_0_35,c_0_32]) ).
cnf(c_0_37,plain,
is_a_theorem(implies(X1,implies(X2,X2))),
inference(spm,[status(thm)],[c_0_29,c_0_36]) ).
cnf(c_0_38,plain,
is_a_theorem(implies(implies(implies(X1,X1),X2),implies(X3,X2))),
inference(spm,[status(thm)],[c_0_5,c_0_37]) ).
cnf(c_0_39,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(implies(X3,X3),X2)) ),
inference(spm,[status(thm)],[c_0_3,c_0_38]) ).
cnf(c_0_40,plain,
is_a_theorem(implies(implies(implies(implies(X1,falsehood),X2),X3),implies(X1,X3))),
inference(spm,[status(thm)],[c_0_5,c_0_34]) ).
cnf(c_0_41,plain,
is_a_theorem(implies(X1,implies(X2,implies(implies(X2,falsehood),X3)))),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_42,plain,
( is_a_theorem(implies(X1,implies(implies(X1,falsehood),X2)))
| ~ is_a_theorem(X3) ),
inference(spm,[status(thm)],[c_0_3,c_0_41]) ).
cnf(c_0_43,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(implies(implies(X1,falsehood),X3),X2)) ),
inference(spm,[status(thm)],[c_0_3,c_0_40]) ).
cnf(c_0_44,plain,
is_a_theorem(implies(X1,implies(implies(X1,falsehood),X2))),
inference(spm,[status(thm)],[c_0_42,c_0_20]) ).
cnf(c_0_45,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(implies(X2,X3),implies(X1,falsehood))) ),
inference(spm,[status(thm)],[c_0_3,c_0_32]) ).
cnf(c_0_46,plain,
is_a_theorem(implies(X1,implies(implies(implies(implies(X1,falsehood),X2),falsehood),X3))),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_47,plain,
is_a_theorem(implies(implies(implies(implies(implies(X1,X2),falsehood),X3),falsehood),X1)),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_48,plain,
is_a_theorem(implies(implies(X1,implies(X1,X2)),implies(X3,implies(X1,X2)))),
inference(spm,[status(thm)],[c_0_5,c_0_47]) ).
cnf(c_0_49,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_48]) ).
cnf(c_0_50,plain,
is_a_theorem(implies(X1,implies(implies(implies(X2,X2),X3),X3))),
inference(spm,[status(thm)],[c_0_49,c_0_38]) ).
cnf(c_0_51,plain,
( is_a_theorem(implies(implies(implies(X1,X1),X2),X2))
| ~ is_a_theorem(X3) ),
inference(spm,[status(thm)],[c_0_3,c_0_50]) ).
cnf(c_0_52,plain,
is_a_theorem(implies(implies(implies(X1,X1),X2),X2)),
inference(spm,[status(thm)],[c_0_51,c_0_20]) ).
cnf(c_0_53,plain,
( is_a_theorem(X1)
| ~ is_a_theorem(implies(implies(X2,X2),X1)) ),
inference(spm,[status(thm)],[c_0_3,c_0_52]) ).
cnf(c_0_54,plain,
is_a_theorem(implies(X1,implies(implies(implies(falsehood,X2),X3),X3))),
inference(spm,[status(thm)],[c_0_49,c_0_15]) ).
cnf(c_0_55,plain,
is_a_theorem(implies(X1,implies(X2,implies(implies(X3,X2),implies(X4,X2))))),
inference(spm,[status(thm)],[c_0_14,c_0_21]) ).
cnf(c_0_56,plain,
is_a_theorem(implies(implies(implies(falsehood,X1),X2),X2)),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_57,plain,
( is_a_theorem(implies(X1,implies(implies(X2,X1),implies(X3,X1))))
| ~ is_a_theorem(X4) ),
inference(spm,[status(thm)],[c_0_3,c_0_55]) ).
cnf(c_0_58,plain,
( is_a_theorem(X1)
| ~ is_a_theorem(implies(implies(falsehood,X2),X1)) ),
inference(spm,[status(thm)],[c_0_3,c_0_56]) ).
cnf(c_0_59,plain,
is_a_theorem(implies(X1,implies(implies(implies(X2,implies(X3,X2)),X4),X4))),
inference(spm,[status(thm)],[c_0_49,c_0_22]) ).
cnf(c_0_60,plain,
is_a_theorem(implies(X1,implies(implies(X2,X1),implies(X3,X1)))),
inference(spm,[status(thm)],[c_0_57,c_0_20]) ).
cnf(c_0_61,plain,
is_a_theorem(implies(implies(implies(X1,implies(X2,X1)),X3),X3)),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_62,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(implies(falsehood,X3),X2)) ),
inference(spm,[status(thm)],[c_0_3,c_0_15]) ).
cnf(c_0_63,plain,
( is_a_theorem(implies(implies(X1,X2),implies(X3,X2)))
| ~ is_a_theorem(X2) ),
inference(spm,[status(thm)],[c_0_3,c_0_60]) ).
cnf(c_0_64,plain,
is_a_theorem(implies(X1,implies(implies(implies(X2,X1),falsehood),X3))),
inference(spm,[status(thm)],[c_0_35,c_0_44]) ).
cnf(c_0_65,plain,
is_a_theorem(implies(implies(implies(X1,X2),X1),implies(X3,X1))),
inference(spm,[status(thm)],[c_0_5,c_0_40]) ).
cnf(c_0_66,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(X2) ),
inference(spm,[status(thm)],[c_0_3,c_0_21]) ).
cnf(c_0_67,plain,
( is_a_theorem(X1)
| ~ is_a_theorem(implies(implies(X2,implies(X3,X2)),X1)) ),
inference(spm,[status(thm)],[c_0_3,c_0_61]) ).
cnf(c_0_68,plain,
is_a_theorem(implies(X1,implies(implies(implies(X2,implies(X3,X4)),X3),X3))),
inference(spm,[status(thm)],[c_0_49,c_0_33]) ).
cnf(c_0_69,plain,
( is_a_theorem(implies(X1,implies(X2,X3)))
| ~ is_a_theorem(X3) ),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_70,plain,
is_a_theorem(implies(X1,implies(implies(implies(X2,implies(implies(X1,falsehood),X3)),falsehood),X4))),
inference(spm,[status(thm)],[c_0_43,c_0_64]) ).
cnf(c_0_71,plain,
is_a_theorem(implies(X1,implies(implies(implies(X2,X3),X2),X2))),
inference(spm,[status(thm)],[c_0_49,c_0_65]) ).
cnf(c_0_72,plain,
( is_a_theorem(implies(implies(X1,X2),implies(X3,X2)))
| ~ is_a_theorem(X1) ),
inference(spm,[status(thm)],[c_0_5,c_0_66]) ).
cnf(c_0_73,plain,
is_a_theorem(implies(implies(implies(X1,implies(X2,X3)),X2),X2)),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_74,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_69]) ).
cnf(c_0_75,plain,
is_a_theorem(implies(implies(implies(X1,implies(implies(implies(X2,X3),falsehood),X4)),falsehood),X2)),
inference(spm,[status(thm)],[c_0_45,c_0_70]) ).
cnf(c_0_76,plain,
is_a_theorem(implies(implies(implies(implies(implies(X1,X2),X1),X1),X3),implies(X4,X3))),
inference(spm,[status(thm)],[c_0_5,c_0_71]) ).
cnf(c_0_77,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_72]) ).
cnf(c_0_78,plain,
( is_a_theorem(X1)
| ~ is_a_theorem(implies(implies(X2,implies(X1,X3)),X1)) ),
inference(spm,[status(thm)],[c_0_3,c_0_73]) ).
cnf(c_0_79,plain,
is_a_theorem(implies(X1,implies(implies(X2,implies(X2,X3)),implies(X2,X3)))),
inference(spm,[status(thm)],[c_0_49,c_0_48]) ).
cnf(c_0_80,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(implies(X3,X4),X2))
| ~ is_a_theorem(X4) ),
inference(spm,[status(thm)],[c_0_3,c_0_74]) ).
cnf(c_0_81,plain,
is_a_theorem(implies(implies(X1,X2),implies(implies(implies(X1,X3),falsehood),X2))),
inference(spm,[status(thm)],[c_0_5,c_0_75]) ).
cnf(c_0_82,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(implies(implies(implies(X3,X4),X3),X3),X2)) ),
inference(spm,[status(thm)],[c_0_3,c_0_76]) ).
cnf(c_0_83,plain,
( is_a_theorem(implies(X1,implies(X2,X3)))
| ~ is_a_theorem(implies(implies(X4,X2),X3)) ),
inference(spm,[status(thm)],[c_0_77,c_0_34]) ).
cnf(c_0_84,plain,
is_a_theorem(implies(X1,implies(implies(X1,X2),implies(X3,X2)))),
inference(spm,[status(thm)],[c_0_35,c_0_4]) ).
cnf(c_0_85,plain,
is_a_theorem(implies(implies(X1,implies(X1,X2)),implies(X1,X2))),
inference(spm,[status(thm)],[c_0_78,c_0_79]) ).
cnf(c_0_86,plain,
( is_a_theorem(implies(X1,implies(implies(X2,X3),implies(X4,X3))))
| ~ is_a_theorem(X2) ),
inference(spm,[status(thm)],[c_0_80,c_0_4]) ).
cnf(c_0_87,plain,
( is_a_theorem(implies(implies(implies(X1,X2),falsehood),X3))
| ~ is_a_theorem(implies(X1,X3)) ),
inference(spm,[status(thm)],[c_0_3,c_0_81]) ).
cnf(c_0_88,plain,
is_a_theorem(implies(X1,implies(implies(implies(X2,X3),X2),implies(X4,X2)))),
inference(spm,[status(thm)],[c_0_82,c_0_4]) ).
cnf(c_0_89,plain,
is_a_theorem(implies(X1,implies(X2,implies(implies(implies(X3,X2),X4),implies(X5,X4))))),
inference(spm,[status(thm)],[c_0_83,c_0_84]) ).
cnf(c_0_90,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(X1,implies(X1,X2))) ),
inference(spm,[status(thm)],[c_0_3,c_0_85]) ).
cnf(c_0_91,plain,
( is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X3,X2)),X4),implies(X5,X4)))
| ~ is_a_theorem(X1) ),
inference(spm,[status(thm)],[c_0_5,c_0_86]) ).
cnf(c_0_92,plain,
( is_a_theorem(implies(implies(X1,X2),implies(X3,X2)))
| ~ is_a_theorem(implies(implies(X2,X4),X1)) ),
inference(spm,[status(thm)],[c_0_5,c_0_87]) ).
cnf(c_0_93,plain,
is_a_theorem(implies(implies(implies(implies(implies(X1,X2),X1),implies(X3,X1)),X4),implies(X5,X4))),
inference(spm,[status(thm)],[c_0_5,c_0_88]) ).
cnf(c_0_94,plain,
is_a_theorem(implies(implies(implies(X1,implies(implies(implies(X2,X1),X3),implies(X4,X3))),X5),implies(X6,X5))),
inference(spm,[status(thm)],[c_0_5,c_0_89]) ).
cnf(c_0_95,plain,
is_a_theorem(implies(X1,implies(X2,implies(implies(X2,X3),implies(X4,X3))))),
inference(spm,[status(thm)],[c_0_83,c_0_4]) ).
cnf(c_0_96,plain,
( is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X3,X2)),X4),X4))
| ~ is_a_theorem(X1) ),
inference(spm,[status(thm)],[c_0_90,c_0_91]) ).
cnf(c_0_97,plain,
is_a_theorem(implies(implies(implies(implies(implies(X1,X2),X3),implies(X4,X3)),X1),implies(X5,X1))),
inference(spm,[status(thm)],[c_0_92,c_0_84]) ).
cnf(c_0_98,plain,
is_a_theorem(implies(implies(implies(implies(implies(X1,X2),X1),implies(X3,X1)),X4),X4)),
inference(spm,[status(thm)],[c_0_90,c_0_93]) ).
cnf(c_0_99,plain,
( is_a_theorem(implies(implies(X1,implies(X2,X3)),implies(X4,implies(X2,X3))))
| ~ is_a_theorem(implies(X2,X1)) ),
inference(spm,[status(thm)],[c_0_92,c_0_87]) ).
cnf(c_0_100,plain,
is_a_theorem(implies(implies(implies(X1,implies(implies(implies(X2,X1),X3),implies(X4,X3))),X5),X5)),
inference(spm,[status(thm)],[c_0_90,c_0_94]) ).
cnf(c_0_101,plain,
is_a_theorem(implies(implies(implies(X1,X2),implies(X3,X1)),implies(X4,implies(X3,X1)))),
inference(spm,[status(thm)],[c_0_92,c_0_34]) ).
cnf(c_0_102,plain,
is_a_theorem(implies(implies(implies(X1,implies(implies(X1,X2),implies(X3,X2))),X4),implies(X5,X4))),
inference(spm,[status(thm)],[c_0_5,c_0_95]) ).
cnf(c_0_103,plain,
( is_a_theorem(X1)
| ~ is_a_theorem(implies(implies(implies(X2,X3),implies(X4,X3)),X1))
| ~ is_a_theorem(X2) ),
inference(spm,[status(thm)],[c_0_3,c_0_96]) ).
cnf(c_0_104,plain,
is_a_theorem(implies(implies(implies(implies(implies(X1,X2),X3),implies(X4,X3)),X1),X1)),
inference(spm,[status(thm)],[c_0_90,c_0_97]) ).
cnf(c_0_105,plain,
( is_a_theorem(X1)
| ~ is_a_theorem(implies(implies(implies(implies(X2,X3),X2),implies(X4,X2)),X1)) ),
inference(spm,[status(thm)],[c_0_3,c_0_98]) ).
cnf(c_0_106,plain,
( is_a_theorem(implies(implies(X1,implies(X2,X3)),implies(X2,X3)))
| ~ is_a_theorem(implies(X2,X1)) ),
inference(spm,[status(thm)],[c_0_90,c_0_99]) ).
cnf(c_0_107,plain,
( is_a_theorem(X1)
| ~ is_a_theorem(implies(implies(X2,implies(implies(implies(X3,X2),X4),implies(X5,X4))),X1)) ),
inference(spm,[status(thm)],[c_0_3,c_0_100]) ).
cnf(c_0_108,plain,
is_a_theorem(implies(implies(implies(X1,X2),implies(X3,X1)),implies(X3,X1))),
inference(spm,[status(thm)],[c_0_90,c_0_101]) ).
cnf(c_0_109,plain,
is_a_theorem(implies(implies(implies(X1,implies(implies(X1,X2),implies(X3,X2))),X4),X4)),
inference(spm,[status(thm)],[c_0_90,c_0_102]) ).
cnf(c_0_110,plain,
( is_a_theorem(implies(X1,implies(X2,X3)))
| ~ is_a_theorem(implies(implies(implies(X1,implies(X2,X3)),X4),X3)) ),
inference(spm,[status(thm)],[c_0_103,c_0_104]) ).
cnf(c_0_111,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(X1,implies(implies(X2,X3),X2))) ),
inference(spm,[status(thm)],[c_0_105,c_0_106]) ).
cnf(c_0_112,plain,
is_a_theorem(implies(implies(implies(X1,implies(implies(X2,X3),X4)),X3),implies(X2,X3))),
inference(spm,[status(thm)],[c_0_107,c_0_108]) ).
cnf(c_0_113,plain,
( is_a_theorem(X1)
| ~ is_a_theorem(implies(implies(X2,implies(implies(X2,X3),implies(X4,X3))),X1)) ),
inference(spm,[status(thm)],[c_0_3,c_0_109]) ).
cnf(c_0_114,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(X3,implies(X1,X2)))
| ~ is_a_theorem(implies(X1,X3)) ),
inference(spm,[status(thm)],[c_0_3,c_0_106]) ).
cnf(c_0_115,plain,
( is_a_theorem(implies(X1,implies(X2,X3)))
| ~ is_a_theorem(implies(X1,X3)) ),
inference(spm,[status(thm)],[c_0_110,c_0_87]) ).
cnf(c_0_116,plain,
is_a_theorem(implies(implies(implies(X1,implies(implies(implies(X2,X3),X2),X4)),X2),X2)),
inference(spm,[status(thm)],[c_0_111,c_0_112]) ).
cnf(c_0_117,plain,
is_a_theorem(implies(implies(implies(X1,X2),falsehood),implies(implies(X1,X3),implies(X4,X3)))),
inference(spm,[status(thm)],[c_0_113,c_0_81]) ).
cnf(c_0_118,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(X1,X3))
| ~ is_a_theorem(implies(X3,X2)) ),
inference(spm,[status(thm)],[c_0_114,c_0_115]) ).
cnf(c_0_119,plain,
is_a_theorem(implies(implies(X1,X2),implies(implies(implies(X1,X3),X1),X2))),
inference(spm,[status(thm)],[c_0_5,c_0_116]) ).
cnf(c_0_120,plain,
( is_a_theorem(implies(X1,implies(X2,X3)))
| ~ is_a_theorem(implies(X1,implies(X2,implies(X2,X3)))) ),
inference(spm,[status(thm)],[c_0_114,c_0_48]) ).
cnf(c_0_121,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(implies(X2,X3),implies(X1,X2))) ),
inference(spm,[status(thm)],[c_0_3,c_0_108]) ).
cnf(c_0_122,plain,
is_a_theorem(implies(X1,implies(X2,implies(implies(X1,X3),implies(X4,X3))))),
inference(spm,[status(thm)],[c_0_110,c_0_117]) ).
cnf(c_0_123,plain,
( is_a_theorem(implies(implies(X1,X2),X3))
| ~ is_a_theorem(implies(implies(implies(implies(X1,X4),X1),X2),X3)) ),
inference(spm,[status(thm)],[c_0_118,c_0_119]) ).
cnf(c_0_124,plain,
is_a_theorem(implies(X1,implies(implies(X1,X2),X2))),
inference(spm,[status(thm)],[c_0_120,c_0_84]) ).
cnf(c_0_125,plain,
( is_a_theorem(implies(X1,implies(X2,X3)))
| ~ is_a_theorem(implies(X2,implies(X1,implies(X2,X3)))) ),
inference(spm,[status(thm)],[c_0_121,c_0_87]) ).
cnf(c_0_126,plain,
( is_a_theorem(implies(X1,implies(implies(X2,X3),implies(X4,X3))))
| ~ is_a_theorem(implies(X1,X2)) ),
inference(spm,[status(thm)],[c_0_114,c_0_122]) ).
cnf(c_0_127,plain,
is_a_theorem(implies(implies(implies(X1,X2),X3),implies(implies(X3,X1),implies(X4,X1)))),
inference(spm,[status(thm)],[c_0_123,c_0_4]) ).
cnf(c_0_128,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(implies(implies(X1,X3),X3),X2)) ),
inference(spm,[status(thm)],[c_0_118,c_0_124]) ).
cnf(c_0_129,plain,
( is_a_theorem(implies(implies(X1,X2),implies(X3,X2)))
| ~ is_a_theorem(implies(X3,X1)) ),
inference(spm,[status(thm)],[c_0_125,c_0_126]) ).
cnf(c_0_130,plain,
is_a_theorem(implies(implies(implies(X1,X2),X3),implies(implies(X3,X1),X1))),
inference(spm,[status(thm)],[c_0_120,c_0_127]) ).
cnf(c_0_131,plain,
( is_a_theorem(implies(X1,implies(X2,X3)))
| ~ is_a_theorem(implies(X2,implies(X1,X3))) ),
inference(spm,[status(thm)],[c_0_128,c_0_129]) ).
cnf(c_0_132,plain,
is_a_theorem(implies(implies(X1,X2),implies(implies(X2,implies(X1,X3)),implies(X1,X3)))),
inference(spm,[status(thm)],[c_0_123,c_0_130]) ).
cnf(c_0_133,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(implies(implies(X1,X3),implies(X4,X3)),X2)) ),
inference(spm,[status(thm)],[c_0_118,c_0_84]) ).
cnf(c_0_134,plain,
is_a_theorem(implies(implies(X1,implies(X2,X3)),implies(implies(X2,X1),implies(X2,X3)))),
inference(spm,[status(thm)],[c_0_131,c_0_132]) ).
cnf(c_0_135,plain,
is_a_theorem(implies(X1,implies(implies(X2,implies(X1,X3)),implies(X2,X3)))),
inference(spm,[status(thm)],[c_0_133,c_0_134]) ).
cnf(c_0_136,plain,
is_a_theorem(implies(implies(X1,implies(X2,X3)),implies(X2,implies(X1,X3)))),
inference(spm,[status(thm)],[c_0_131,c_0_135]) ).
cnf(c_0_137,plain,
( is_a_theorem(implies(implies(X1,implies(X2,X3)),X4))
| ~ is_a_theorem(implies(implies(X2,implies(X1,X3)),X4)) ),
inference(spm,[status(thm)],[c_0_118,c_0_136]) ).
cnf(c_0_138,negated_conjecture,
~ is_a_theorem(implies(implies(a,implies(b,c)),implies(implies(a,b),implies(a,c)))),
prove_c0_6 ).
cnf(c_0_139,plain,
is_a_theorem(implies(implies(X1,implies(X2,X3)),implies(implies(X1,X2),implies(X1,X3)))),
inference(spm,[status(thm)],[c_0_137,c_0_134]) ).
cnf(c_0_140,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_138,c_0_139])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : LCL037-1 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.14 % Command : run_E %s %d THM
% 0.15/0.35 % Computer : n016.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 2400
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Mon Oct 2 13:39:51 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.21/0.48 Running first-order theorem proving
% 0.21/0.48 Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.6SnaOM10Ix/E---3.1_19863.p
% 308.45/40.53 # Version: 3.1pre001
% 308.45/40.53 # Preprocessing class: FSSSSMSSSSSNFFN.
% 308.45/40.53 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 308.45/40.53 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 308.45/40.53 # Starting new_bool_3 with 300s (1) cores
% 308.45/40.53 # Starting new_bool_1 with 300s (1) cores
% 308.45/40.53 # Starting sh5l with 300s (1) cores
% 308.45/40.53 # new_bool_3 with pid 19958 completed with status 8
% 308.45/40.53 # sh5l with pid 19960 completed with status 0
% 308.45/40.53 # Result found by sh5l
% 308.45/40.53 # Preprocessing class: FSSSSMSSSSSNFFN.
% 308.45/40.53 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 308.45/40.53 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 308.45/40.53 # Starting new_bool_3 with 300s (1) cores
% 308.45/40.53 # Starting new_bool_1 with 300s (1) cores
% 308.45/40.53 # Starting sh5l with 300s (1) cores
% 308.45/40.53 # SinE strategy is gf500_gu_R04_F100_L20000
% 308.45/40.53 # Search class: FHUNF-FFSF22-MFFFFFNN
% 308.45/40.53 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 308.45/40.53 # Starting G-E--_060_C18_F1_PI_AE_Q4_CS_SP_S0Y with 163s (1) cores
% 308.45/40.53 # G-E--_060_C18_F1_PI_AE_Q4_CS_SP_S0Y with pid 19970 completed with status 0
% 308.45/40.53 # Result found by G-E--_060_C18_F1_PI_AE_Q4_CS_SP_S0Y
% 308.45/40.53 # Preprocessing class: FSSSSMSSSSSNFFN.
% 308.45/40.53 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 308.45/40.53 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 308.45/40.53 # Starting new_bool_3 with 300s (1) cores
% 308.45/40.53 # Starting new_bool_1 with 300s (1) cores
% 308.45/40.53 # Starting sh5l with 300s (1) cores
% 308.45/40.53 # SinE strategy is gf500_gu_R04_F100_L20000
% 308.45/40.53 # Search class: FHUNF-FFSF22-MFFFFFNN
% 308.45/40.53 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 308.45/40.53 # Starting G-E--_060_C18_F1_PI_AE_Q4_CS_SP_S0Y with 163s (1) cores
% 308.45/40.53 # Preprocessing time : 0.001 s
% 308.45/40.53
% 308.45/40.53 # Proof found!
% 308.45/40.53 # SZS status Unsatisfiable
% 308.45/40.53 # SZS output start CNFRefutation
% See solution above
% 308.45/40.53 # Parsed axioms : 3
% 308.45/40.53 # Removed by relevancy pruning/SinE : 0
% 308.45/40.53 # Initial clauses : 3
% 308.45/40.53 # Removed in clause preprocessing : 0
% 308.45/40.53 # Initial clauses in saturation : 3
% 308.45/40.53 # Processed clauses : 365189
% 308.45/40.53 # ...of these trivial : 26044
% 308.45/40.53 # ...subsumed : 333608
% 308.45/40.53 # ...remaining for further processing : 5537
% 308.45/40.53 # Other redundant clauses eliminated : 0
% 308.45/40.53 # Clauses deleted for lack of memory : 0
% 308.45/40.53 # Backward-subsumed : 113
% 308.45/40.53 # Backward-rewritten : 872
% 308.45/40.53 # Generated clauses : 5028757
% 308.45/40.53 # ...of the previous two non-redundant : 4222282
% 308.45/40.53 # ...aggressively subsumed : 0
% 308.45/40.53 # Contextual simplify-reflections : 0
% 308.45/40.53 # Paramodulations : 5028757
% 308.45/40.53 # Factorizations : 0
% 308.45/40.53 # NegExts : 0
% 308.45/40.53 # Equation resolutions : 0
% 308.45/40.53 # Total rewrite steps : 832122
% 308.45/40.53 # Propositional unsat checks : 0
% 308.45/40.53 # Propositional check models : 0
% 308.45/40.53 # Propositional check unsatisfiable : 0
% 308.45/40.53 # Propositional clauses : 0
% 308.45/40.53 # Propositional clauses after purity: 0
% 308.45/40.53 # Propositional unsat core size : 0
% 308.45/40.53 # Propositional preprocessing time : 0.000
% 308.45/40.53 # Propositional encoding time : 0.000
% 308.45/40.53 # Propositional solver time : 0.000
% 308.45/40.53 # Success case prop preproc time : 0.000
% 308.45/40.53 # Success case prop encoding time : 0.000
% 308.45/40.53 # Success case prop solver time : 0.000
% 308.45/40.53 # Current number of processed clauses : 4552
% 308.45/40.53 # Positive orientable unit clauses : 2320
% 308.45/40.53 # Positive unorientable unit clauses: 0
% 308.45/40.53 # Negative unit clauses : 183
% 308.45/40.53 # Non-unit-clauses : 2049
% 308.45/40.53 # Current number of unprocessed clauses: 2847325
% 308.45/40.53 # ...number of literals in the above : 3337267
% 308.45/40.53 # Current number of archived formulas : 0
% 308.45/40.53 # Current number of archived clauses : 985
% 308.45/40.53 # Clause-clause subsumption calls (NU) : 33357908
% 308.45/40.53 # Rec. Clause-clause subsumption calls : 33206539
% 308.45/40.53 # Non-unit clause-clause subsumptions : 295795
% 308.45/40.53 # Unit Clause-clause subsumption calls : 644122
% 308.45/40.53 # Rewrite failures with RHS unbound : 0
% 308.45/40.53 # BW rewrite match attempts : 2407290
% 308.45/40.53 # BW rewrite match successes : 872
% 308.45/40.53 # Condensation attempts : 0
% 308.45/40.53 # Condensation successes : 0
% 308.45/40.53 # Termbank termtop insertions : 60433231
% 308.45/40.53
% 308.45/40.53 # -------------------------------------------------
% 308.45/40.53 # User time : 38.403 s
% 308.45/40.53 # System time : 0.934 s
% 308.45/40.53 # Total time : 39.337 s
% 308.45/40.53 # Maximum resident set size: 1672 pages
% 308.45/40.53
% 308.45/40.53 # -------------------------------------------------
% 308.45/40.53 # User time : 69.426 s
% 308.45/40.53 # System time : 0.947 s
% 308.45/40.53 # Total time : 70.372 s
% 308.45/40.53 # Maximum resident set size: 1672 pages
% 308.45/40.53 % E---3.1 exiting
% 308.45/40.53 % E---3.1 exiting
%------------------------------------------------------------------------------