TSTP Solution File: LCL032-1 by E---3.1.00
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : LCL032-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat May 4 08:17:28 EDT 2024
% Result : Unsatisfiable 209.23s 26.85s
% Output : CNFRefutation 209.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 56
% Number of leaves : 3
% Syntax : Number of clauses : 136 ( 76 unt; 0 nHn; 30 RR)
% Number of literals : 204 ( 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 : 450 ( 201 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.8svzk6ngvf/E---3.1_9302.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.8svzk6ngvf/E---3.1_9302.p',c0_CAMerideth) ).
cnf(prove_c0_1,negated_conjecture,
~ is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c)))),
file('/export/starexec/sandbox/tmp/tmp.8svzk6ngvf/E---3.1_9302.p',prove_c0_1) ).
cnf(c_0_3,plain,
( is_a_theorem(X2)
| ~ is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(X1) ),
inference(fof_simplification,[status(thm)],[condensed_detachment]) ).
cnf(c_0_4,plain,
( is_a_theorem(X2)
| ~ is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(X1) ),
c_0_3 ).
cnf(c_0_5,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_6,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_4,c_0_5]) ).
cnf(c_0_7,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_6,c_0_5]) ).
cnf(c_0_8,plain,
is_a_theorem(implies(implies(implies(X1,implies(falsehood,X2)),X3),implies(X4,X3))),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_9,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(implies(X3,implies(falsehood,X4)),X2)) ),
inference(spm,[status(thm)],[c_0_4,c_0_8]) ).
cnf(c_0_10,plain,
is_a_theorem(implies(implies(implies(X1,X2),X3),implies(falsehood,X3))),
inference(spm,[status(thm)],[c_0_6,c_0_8]) ).
cnf(c_0_11,plain,
is_a_theorem(implies(X1,implies(X2,implies(falsehood,X3)))),
inference(spm,[status(thm)],[c_0_9,c_0_7]) ).
cnf(c_0_12,plain,
( is_a_theorem(implies(falsehood,X1))
| ~ is_a_theorem(implies(implies(X2,X3),X1)) ),
inference(spm,[status(thm)],[c_0_4,c_0_10]) ).
cnf(c_0_13,plain,
( is_a_theorem(implies(X1,implies(falsehood,X2)))
| ~ is_a_theorem(X3) ),
inference(spm,[status(thm)],[c_0_4,c_0_11]) ).
cnf(c_0_14,plain,
is_a_theorem(implies(falsehood,implies(X1,X2))),
inference(spm,[status(thm)],[c_0_12,c_0_8]) ).
cnf(c_0_15,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_4,c_0_7]) ).
cnf(c_0_16,plain,
is_a_theorem(implies(implies(implies(falsehood,X1),X2),implies(X3,X2))),
inference(spm,[status(thm)],[c_0_6,c_0_10]) ).
cnf(c_0_17,plain,
is_a_theorem(implies(X1,implies(falsehood,X2))),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_18,plain,
is_a_theorem(implies(X1,implies(X2,implies(X3,X2)))),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_19,plain,
( is_a_theorem(implies(falsehood,X1))
| ~ is_a_theorem(X2) ),
inference(spm,[status(thm)],[c_0_4,c_0_17]) ).
cnf(c_0_20,plain,
( is_a_theorem(implies(X1,implies(X2,X1)))
| ~ is_a_theorem(X3) ),
inference(spm,[status(thm)],[c_0_4,c_0_18]) ).
cnf(c_0_21,plain,
is_a_theorem(implies(falsehood,X1)),
inference(spm,[status(thm)],[c_0_19,c_0_14]) ).
cnf(c_0_22,plain,
is_a_theorem(implies(X1,implies(X2,X1))),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_23,plain,
is_a_theorem(implies(implies(implies(X1,implies(X2,X1)),X3),implies(X4,X3))),
inference(spm,[status(thm)],[c_0_6,c_0_18]) ).
cnf(c_0_24,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_6,c_0_22]) ).
cnf(c_0_25,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(implies(X3,implies(X4,X3)),X2)) ),
inference(spm,[status(thm)],[c_0_4,c_0_23]) ).
cnf(c_0_26,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_6,c_0_24]) ).
cnf(c_0_27,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_25,c_0_26]) ).
cnf(c_0_28,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_4,c_0_27]) ).
cnf(c_0_29,plain,
is_a_theorem(implies(implies(implies(X1,X2),implies(X3,falsehood)),implies(X4,implies(X3,X1)))),
inference(spm,[status(thm)],[c_0_28,c_0_21]) ).
cnf(c_0_30,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_4,c_0_29]) ).
cnf(c_0_31,plain,
is_a_theorem(implies(X1,implies(implies(implies(X2,X3),implies(X4,falsehood)),implies(X4,X2)))),
inference(spm,[status(thm)],[c_0_30,c_0_26]) ).
cnf(c_0_32,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_4,c_0_31]) ).
cnf(c_0_33,plain,
is_a_theorem(implies(implies(implies(X1,X2),implies(X3,falsehood)),implies(X3,X1))),
inference(spm,[status(thm)],[c_0_32,c_0_21]) ).
cnf(c_0_34,plain,
is_a_theorem(implies(implies(implies(X1,implies(X2,X3)),X2),implies(X4,X2))),
inference(spm,[status(thm)],[c_0_6,c_0_33]) ).
cnf(c_0_35,plain,
is_a_theorem(implies(implies(implies(X1,X2),X3),implies(X2,X3))),
inference(spm,[status(thm)],[c_0_6,c_0_34]) ).
cnf(c_0_36,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(implies(X3,X1),X2)) ),
inference(spm,[status(thm)],[c_0_4,c_0_35]) ).
cnf(c_0_37,plain,
is_a_theorem(implies(implies(X1,falsehood),implies(X1,X2))),
inference(spm,[status(thm)],[c_0_36,c_0_33]) ).
cnf(c_0_38,plain,
is_a_theorem(implies(X1,implies(X2,X2))),
inference(spm,[status(thm)],[c_0_30,c_0_37]) ).
cnf(c_0_39,plain,
is_a_theorem(implies(implies(implies(X1,X1),X2),implies(X3,X2))),
inference(spm,[status(thm)],[c_0_6,c_0_38]) ).
cnf(c_0_40,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(implies(X3,X3),X2)) ),
inference(spm,[status(thm)],[c_0_4,c_0_39]) ).
cnf(c_0_41,plain,
is_a_theorem(implies(implies(implies(implies(X1,falsehood),X2),X3),implies(X1,X3))),
inference(spm,[status(thm)],[c_0_6,c_0_35]) ).
cnf(c_0_42,plain,
is_a_theorem(implies(X1,implies(X2,implies(implies(X2,falsehood),X3)))),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_43,plain,
( is_a_theorem(implies(X1,implies(implies(X1,falsehood),X2)))
| ~ is_a_theorem(X3) ),
inference(spm,[status(thm)],[c_0_4,c_0_42]) ).
cnf(c_0_44,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(implies(implies(X1,falsehood),X3),X2)) ),
inference(spm,[status(thm)],[c_0_4,c_0_41]) ).
cnf(c_0_45,plain,
is_a_theorem(implies(X1,implies(implies(X1,falsehood),X2))),
inference(spm,[status(thm)],[c_0_43,c_0_21]) ).
cnf(c_0_46,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(implies(X2,X3),implies(X1,falsehood))) ),
inference(spm,[status(thm)],[c_0_4,c_0_33]) ).
cnf(c_0_47,plain,
is_a_theorem(implies(X1,implies(implies(implies(implies(X1,falsehood),X2),falsehood),X3))),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_48,plain,
is_a_theorem(implies(implies(implies(implies(implies(X1,X2),falsehood),X3),falsehood),X1)),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_49,plain,
is_a_theorem(implies(implies(X1,implies(X1,X2)),implies(X3,implies(X1,X2)))),
inference(spm,[status(thm)],[c_0_6,c_0_48]) ).
cnf(c_0_50,plain,
( is_a_theorem(implies(X1,implies(X2,X3)))
| ~ is_a_theorem(implies(X2,implies(X2,X3))) ),
inference(spm,[status(thm)],[c_0_4,c_0_49]) ).
cnf(c_0_51,plain,
is_a_theorem(implies(X1,implies(X2,implies(implies(X3,X2),implies(X4,X2))))),
inference(spm,[status(thm)],[c_0_15,c_0_22]) ).
cnf(c_0_52,plain,
is_a_theorem(implies(X1,implies(implies(implies(X2,X2),X3),X3))),
inference(spm,[status(thm)],[c_0_50,c_0_39]) ).
cnf(c_0_53,plain,
( is_a_theorem(implies(X1,implies(implies(X2,X1),implies(X3,X1))))
| ~ is_a_theorem(X4) ),
inference(spm,[status(thm)],[c_0_4,c_0_51]) ).
cnf(c_0_54,plain,
( is_a_theorem(implies(implies(implies(X1,X1),X2),X2))
| ~ is_a_theorem(X3) ),
inference(spm,[status(thm)],[c_0_4,c_0_52]) ).
cnf(c_0_55,plain,
is_a_theorem(implies(X1,implies(implies(X2,X1),implies(X3,X1)))),
inference(spm,[status(thm)],[c_0_53,c_0_21]) ).
cnf(c_0_56,plain,
is_a_theorem(implies(implies(implies(X1,X1),X2),X2)),
inference(spm,[status(thm)],[c_0_54,c_0_21]) ).
cnf(c_0_57,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(implies(falsehood,X3),X2)) ),
inference(spm,[status(thm)],[c_0_4,c_0_16]) ).
cnf(c_0_58,plain,
( is_a_theorem(implies(implies(X1,X2),implies(X3,X2)))
| ~ is_a_theorem(X2) ),
inference(spm,[status(thm)],[c_0_4,c_0_55]) ).
cnf(c_0_59,plain,
is_a_theorem(implies(X1,implies(implies(implies(X2,X1),falsehood),X3))),
inference(spm,[status(thm)],[c_0_36,c_0_45]) ).
cnf(c_0_60,plain,
is_a_theorem(implies(implies(implies(X1,X2),X1),implies(X3,X1))),
inference(spm,[status(thm)],[c_0_6,c_0_41]) ).
cnf(c_0_61,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(X2) ),
inference(spm,[status(thm)],[c_0_4,c_0_22]) ).
cnf(c_0_62,plain,
( is_a_theorem(X1)
| ~ is_a_theorem(implies(implies(X2,X2),X1)) ),
inference(spm,[status(thm)],[c_0_4,c_0_56]) ).
cnf(c_0_63,plain,
is_a_theorem(implies(X1,implies(implies(implies(falsehood,X2),X3),X3))),
inference(spm,[status(thm)],[c_0_50,c_0_16]) ).
cnf(c_0_64,plain,
( is_a_theorem(implies(X1,implies(X2,X3)))
| ~ is_a_theorem(X3) ),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_65,plain,
is_a_theorem(implies(X1,implies(implies(implies(X2,implies(implies(X1,falsehood),X3)),falsehood),X4))),
inference(spm,[status(thm)],[c_0_44,c_0_59]) ).
cnf(c_0_66,plain,
is_a_theorem(implies(X1,implies(implies(implies(X2,X3),X2),X2))),
inference(spm,[status(thm)],[c_0_50,c_0_60]) ).
cnf(c_0_67,plain,
( is_a_theorem(implies(implies(X1,X2),implies(X3,X2)))
| ~ is_a_theorem(X1) ),
inference(spm,[status(thm)],[c_0_6,c_0_61]) ).
cnf(c_0_68,plain,
is_a_theorem(implies(implies(implies(falsehood,X1),X2),X2)),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_69,plain,
( is_a_theorem(implies(implies(implies(X1,X2),X3),implies(X4,X3)))
| ~ is_a_theorem(X2) ),
inference(spm,[status(thm)],[c_0_6,c_0_64]) ).
cnf(c_0_70,plain,
is_a_theorem(implies(implies(implies(X1,implies(implies(implies(X2,X3),falsehood),X4)),falsehood),X2)),
inference(spm,[status(thm)],[c_0_46,c_0_65]) ).
cnf(c_0_71,plain,
is_a_theorem(implies(implies(implies(implies(implies(X1,X2),X1),X1),X3),implies(X4,X3))),
inference(spm,[status(thm)],[c_0_6,c_0_66]) ).
cnf(c_0_72,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(X3,X2))
| ~ is_a_theorem(X3) ),
inference(spm,[status(thm)],[c_0_4,c_0_67]) ).
cnf(c_0_73,plain,
( is_a_theorem(X1)
| ~ is_a_theorem(implies(implies(falsehood,X2),X1)) ),
inference(spm,[status(thm)],[c_0_4,c_0_68]) ).
cnf(c_0_74,plain,
is_a_theorem(implies(X1,implies(implies(X2,implies(X2,X3)),implies(X2,X3)))),
inference(spm,[status(thm)],[c_0_50,c_0_49]) ).
cnf(c_0_75,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_4,c_0_69]) ).
cnf(c_0_76,plain,
is_a_theorem(implies(implies(X1,X2),implies(implies(implies(X1,X3),falsehood),X2))),
inference(spm,[status(thm)],[c_0_6,c_0_70]) ).
cnf(c_0_77,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_4,c_0_71]) ).
cnf(c_0_78,plain,
( is_a_theorem(implies(X1,implies(X2,X3)))
| ~ is_a_theorem(implies(implies(X4,X2),X3)) ),
inference(spm,[status(thm)],[c_0_72,c_0_35]) ).
cnf(c_0_79,plain,
is_a_theorem(implies(X1,implies(implies(X1,X2),implies(X3,X2)))),
inference(spm,[status(thm)],[c_0_36,c_0_5]) ).
cnf(c_0_80,plain,
is_a_theorem(implies(implies(X1,implies(X1,X2)),implies(X1,X2))),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_81,plain,
( is_a_theorem(implies(X1,implies(implies(X2,X3),implies(X4,X3))))
| ~ is_a_theorem(X2) ),
inference(spm,[status(thm)],[c_0_75,c_0_5]) ).
cnf(c_0_82,plain,
( is_a_theorem(implies(implies(implies(X1,X2),falsehood),X3))
| ~ is_a_theorem(implies(X1,X3)) ),
inference(spm,[status(thm)],[c_0_4,c_0_76]) ).
cnf(c_0_83,plain,
is_a_theorem(implies(X1,implies(implies(implies(X2,X3),X2),implies(X4,X2)))),
inference(spm,[status(thm)],[c_0_77,c_0_5]) ).
cnf(c_0_84,plain,
is_a_theorem(implies(X1,implies(X2,implies(implies(implies(X3,X2),X4),implies(X5,X4))))),
inference(spm,[status(thm)],[c_0_78,c_0_79]) ).
cnf(c_0_85,plain,
is_a_theorem(implies(X1,implies(X2,implies(implies(X2,X3),implies(X4,X3))))),
inference(spm,[status(thm)],[c_0_78,c_0_5]) ).
cnf(c_0_86,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(X1,implies(X1,X2))) ),
inference(spm,[status(thm)],[c_0_4,c_0_80]) ).
cnf(c_0_87,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_6,c_0_81]) ).
cnf(c_0_88,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_6,c_0_82]) ).
cnf(c_0_89,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_6,c_0_83]) ).
cnf(c_0_90,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_6,c_0_84]) ).
cnf(c_0_91,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_6,c_0_85]) ).
cnf(c_0_92,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_86,c_0_87]) ).
cnf(c_0_93,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_88,c_0_79]) ).
cnf(c_0_94,plain,
is_a_theorem(implies(implies(implies(implies(implies(X1,X2),X1),implies(X3,X1)),X4),X4)),
inference(spm,[status(thm)],[c_0_86,c_0_89]) ).
cnf(c_0_95,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_88,c_0_82]) ).
cnf(c_0_96,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_86,c_0_90]) ).
cnf(c_0_97,plain,
is_a_theorem(implies(implies(implies(X1,X2),implies(X3,X1)),implies(X4,implies(X3,X1)))),
inference(spm,[status(thm)],[c_0_88,c_0_35]) ).
cnf(c_0_98,plain,
is_a_theorem(implies(implies(implies(X1,implies(implies(X1,X2),implies(X3,X2))),X4),X4)),
inference(spm,[status(thm)],[c_0_86,c_0_91]) ).
cnf(c_0_99,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_4,c_0_92]) ).
cnf(c_0_100,plain,
is_a_theorem(implies(implies(implies(implies(implies(X1,X2),X3),implies(X4,X3)),X1),X1)),
inference(spm,[status(thm)],[c_0_86,c_0_93]) ).
cnf(c_0_101,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_4,c_0_94]) ).
cnf(c_0_102,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_86,c_0_95]) ).
cnf(c_0_103,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_4,c_0_96]) ).
cnf(c_0_104,plain,
is_a_theorem(implies(implies(implies(X1,X2),implies(X3,X1)),implies(X3,X1))),
inference(spm,[status(thm)],[c_0_86,c_0_97]) ).
cnf(c_0_105,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_4,c_0_98]) ).
cnf(c_0_106,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_99,c_0_100]) ).
cnf(c_0_107,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(X1,implies(implies(X2,X3),X2))) ),
inference(spm,[status(thm)],[c_0_101,c_0_102]) ).
cnf(c_0_108,plain,
is_a_theorem(implies(implies(implies(X1,implies(implies(X2,X3),X4)),X3),implies(X2,X3))),
inference(spm,[status(thm)],[c_0_103,c_0_104]) ).
cnf(c_0_109,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_4,c_0_102]) ).
cnf(c_0_110,plain,
is_a_theorem(implies(implies(implies(X1,X2),falsehood),implies(implies(X1,X3),implies(X4,X3)))),
inference(spm,[status(thm)],[c_0_105,c_0_76]) ).
cnf(c_0_111,plain,
( is_a_theorem(implies(X1,implies(X2,X3)))
| ~ is_a_theorem(implies(X1,X3)) ),
inference(spm,[status(thm)],[c_0_106,c_0_82]) ).
cnf(c_0_112,plain,
is_a_theorem(implies(implies(implies(X1,implies(implies(implies(X2,X3),X2),X4)),X2),X2)),
inference(spm,[status(thm)],[c_0_107,c_0_108]) ).
cnf(c_0_113,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_109,c_0_49]) ).
cnf(c_0_114,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(implies(X2,X3),implies(X1,X2))) ),
inference(spm,[status(thm)],[c_0_4,c_0_104]) ).
cnf(c_0_115,plain,
is_a_theorem(implies(X1,implies(X2,implies(implies(X1,X3),implies(X4,X3))))),
inference(spm,[status(thm)],[c_0_106,c_0_110]) ).
cnf(c_0_116,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_109,c_0_111]) ).
cnf(c_0_117,plain,
is_a_theorem(implies(implies(X1,X2),implies(implies(implies(X1,X3),X1),X2))),
inference(spm,[status(thm)],[c_0_6,c_0_112]) ).
cnf(c_0_118,plain,
is_a_theorem(implies(X1,implies(implies(X1,X2),X2))),
inference(spm,[status(thm)],[c_0_113,c_0_79]) ).
cnf(c_0_119,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_114,c_0_82]) ).
cnf(c_0_120,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_109,c_0_115]) ).
cnf(c_0_121,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_116,c_0_117]) ).
cnf(c_0_122,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(implies(implies(X1,X3),X3),X2)) ),
inference(spm,[status(thm)],[c_0_116,c_0_118]) ).
cnf(c_0_123,plain,
( is_a_theorem(implies(implies(X1,X2),implies(X3,X2)))
| ~ is_a_theorem(implies(X3,X1)) ),
inference(spm,[status(thm)],[c_0_119,c_0_120]) ).
cnf(c_0_124,plain,
is_a_theorem(implies(implies(implies(X1,X2),X3),implies(implies(X3,X1),implies(X4,X1)))),
inference(spm,[status(thm)],[c_0_121,c_0_5]) ).
cnf(c_0_125,plain,
( is_a_theorem(implies(X1,implies(X2,X3)))
| ~ is_a_theorem(implies(X2,implies(X1,X3))) ),
inference(spm,[status(thm)],[c_0_122,c_0_123]) ).
cnf(c_0_126,plain,
is_a_theorem(implies(implies(implies(X1,X2),X3),implies(implies(X3,X1),X1))),
inference(spm,[status(thm)],[c_0_113,c_0_124]) ).
cnf(c_0_127,plain,
is_a_theorem(implies(implies(X1,X2),implies(X1,implies(X3,X2)))),
inference(spm,[status(thm)],[c_0_125,c_0_79]) ).
cnf(c_0_128,plain,
is_a_theorem(implies(implies(X1,X2),implies(implies(X2,implies(X1,X3)),implies(X1,X3)))),
inference(spm,[status(thm)],[c_0_121,c_0_126]) ).
cnf(c_0_129,plain,
( is_a_theorem(implies(implies(X1,X2),X3))
| ~ is_a_theorem(implies(implies(X1,implies(X4,X2)),X3)) ),
inference(spm,[status(thm)],[c_0_116,c_0_127]) ).
cnf(c_0_130,plain,
is_a_theorem(implies(implies(X1,implies(X2,X3)),implies(implies(X2,X1),implies(X2,X3)))),
inference(spm,[status(thm)],[c_0_125,c_0_128]) ).
cnf(c_0_131,negated_conjecture,
~ is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c)))),
inference(fof_simplification,[status(thm)],[prove_c0_1]) ).
cnf(c_0_132,plain,
is_a_theorem(implies(implies(X1,X2),implies(implies(X3,X1),implies(X3,X2)))),
inference(spm,[status(thm)],[c_0_129,c_0_130]) ).
cnf(c_0_133,negated_conjecture,
~ is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c)))),
c_0_131 ).
cnf(c_0_134,plain,
is_a_theorem(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3)))),
inference(spm,[status(thm)],[c_0_125,c_0_132]) ).
cnf(c_0_135,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_133,c_0_134])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.14 % Problem : LCL032-1 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.15 % Command : run_E %s %d THM
% 0.14/0.37 % Computer : n012.cluster.edu
% 0.14/0.37 % Model : x86_64 x86_64
% 0.14/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37 % Memory : 8042.1875MB
% 0.14/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37 % CPULimit : 300
% 0.14/0.37 % WCLimit : 300
% 0.14/0.37 % DateTime : Fri May 3 08:42:55 EDT 2024
% 0.14/0.37 % CPUTime :
% 0.21/0.50 Running first-order theorem proving
% 0.21/0.50 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.8svzk6ngvf/E---3.1_9302.p
% 209.23/26.85 # Version: 3.1.0
% 209.23/26.85 # Preprocessing class: FSSSSMSSSSSNFFN.
% 209.23/26.85 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 209.23/26.85 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 209.23/26.85 # Starting new_bool_3 with 300s (1) cores
% 209.23/26.85 # Starting new_bool_1 with 300s (1) cores
% 209.23/26.85 # Starting sh5l with 300s (1) cores
% 209.23/26.85 # G-E--_302_C18_F1_URBAN_RG_S04BN with pid 9382 completed with status 0
% 209.23/26.85 # Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 209.23/26.85 # Preprocessing class: FSSSSMSSSSSNFFN.
% 209.23/26.85 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 209.23/26.85 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 209.23/26.85 # No SInE strategy applied
% 209.23/26.85 # Search class: FHUNF-FFSF22-MFFFFFNN
% 209.23/26.85 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 209.23/26.85 # Starting G-E--_060_C18_F1_PI_AE_Q4_CS_SP_S0Y with 811s (1) cores
% 209.23/26.85 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 209.23/26.85 # Starting new_bool_3 with 136s (1) cores
% 209.23/26.85 # Starting U----_206c_00_C07_23_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 209.23/26.85 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S00 with 136s (1) cores
% 209.23/26.85 # G-E--_060_C18_F1_PI_AE_Q4_CS_SP_S0Y with pid 9386 completed with status 0
% 209.23/26.85 # Result found by G-E--_060_C18_F1_PI_AE_Q4_CS_SP_S0Y
% 209.23/26.85 # Preprocessing class: FSSSSMSSSSSNFFN.
% 209.23/26.85 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 209.23/26.85 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 209.23/26.85 # No SInE strategy applied
% 209.23/26.85 # Search class: FHUNF-FFSF22-MFFFFFNN
% 209.23/26.85 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 209.23/26.85 # Starting G-E--_060_C18_F1_PI_AE_Q4_CS_SP_S0Y with 811s (1) cores
% 209.23/26.85 # Preprocessing time : 0.001 s
% 209.23/26.85
% 209.23/26.85 # Proof found!
% 209.23/26.85 # SZS status Unsatisfiable
% 209.23/26.85 # SZS output start CNFRefutation
% See solution above
% 209.23/26.85 # Parsed axioms : 3
% 209.23/26.85 # Removed by relevancy pruning/SinE : 0
% 209.23/26.85 # Initial clauses : 3
% 209.23/26.85 # Removed in clause preprocessing : 0
% 209.23/26.85 # Initial clauses in saturation : 3
% 209.23/26.85 # Processed clauses : 299648
% 209.23/26.85 # ...of these trivial : 25246
% 209.23/26.85 # ...subsumed : 269428
% 209.23/26.85 # ...remaining for further processing : 4974
% 209.23/26.85 # Other redundant clauses eliminated : 0
% 209.23/26.85 # Clauses deleted for lack of memory : 0
% 209.23/26.85 # Backward-subsumed : 102
% 209.23/26.85 # Backward-rewritten : 814
% 209.23/26.85 # Generated clauses : 3953848
% 209.23/26.85 # ...of the previous two non-redundant : 3235675
% 209.23/26.85 # ...aggressively subsumed : 0
% 209.23/26.85 # Contextual simplify-reflections : 0
% 209.23/26.85 # Paramodulations : 3953848
% 209.23/26.85 # Factorizations : 0
% 209.23/26.85 # NegExts : 0
% 209.23/26.85 # Equation resolutions : 0
% 209.23/26.85 # Disequality decompositions : 0
% 209.23/26.85 # Total rewrite steps : 743385
% 209.23/26.85 # ...of those cached : 680673
% 209.23/26.85 # Propositional unsat checks : 0
% 209.23/26.85 # Propositional check models : 0
% 209.23/26.85 # Propositional check unsatisfiable : 0
% 209.23/26.85 # Propositional clauses : 0
% 209.23/26.85 # Propositional clauses after purity: 0
% 209.23/26.85 # Propositional unsat core size : 0
% 209.23/26.85 # Propositional preprocessing time : 0.000
% 209.23/26.85 # Propositional encoding time : 0.000
% 209.23/26.85 # Propositional solver time : 0.000
% 209.23/26.85 # Success case prop preproc time : 0.000
% 209.23/26.85 # Success case prop encoding time : 0.000
% 209.23/26.85 # Success case prop solver time : 0.000
% 209.23/26.85 # Current number of processed clauses : 4058
% 209.23/26.85 # Positive orientable unit clauses : 2161
% 209.23/26.85 # Positive unorientable unit clauses: 0
% 209.23/26.85 # Negative unit clauses : 179
% 209.23/26.85 # Non-unit-clauses : 1718
% 209.23/26.85 # Current number of unprocessed clauses: 2035512
% 209.23/26.85 # ...number of literals in the above : 2437729
% 209.23/26.85 # Current number of archived formulas : 0
% 209.23/26.85 # Current number of archived clauses : 916
% 209.23/26.85 # Clause-clause subsumption calls (NU) : 22755607
% 209.23/26.85 # Rec. Clause-clause subsumption calls : 22629711
% 209.23/26.85 # Non-unit clause-clause subsumptions : 233741
% 209.23/26.85 # Unit Clause-clause subsumption calls : 556963
% 209.23/26.85 # Rewrite failures with RHS unbound : 0
% 209.23/26.85 # BW rewrite match attempts : 2082162
% 209.23/26.85 # BW rewrite match successes : 814
% 209.23/26.85 # Condensation attempts : 0
% 209.23/26.85 # Condensation successes : 0
% 209.23/26.85 # Termbank termtop insertions : 47986756
% 209.23/26.85 # Search garbage collected termcells : 8
% 209.23/26.85
% 209.23/26.85 # -------------------------------------------------
% 209.23/26.85 # User time : 25.117 s
% 209.23/26.85 # System time : 0.567 s
% 209.23/26.85 # Total time : 25.685 s
% 209.23/26.85 # Maximum resident set size: 1588 pages
% 209.23/26.85
% 209.23/26.85 # -------------------------------------------------
% 209.23/26.85 # User time : 127.392 s
% 209.23/26.85 # System time : 2.703 s
% 209.23/26.85 # Total time : 130.096 s
% 209.23/26.85 # Maximum resident set size: 1696 pages
% 209.23/26.85 % E---3.1 exiting
% 209.23/26.85 % E exiting
%------------------------------------------------------------------------------