TSTP Solution File: LCL002-1 by CSE_E---1.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : LCL002-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n018.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 : Thu Aug 31 06:51:44 EDT 2023
% Result : Unsatisfiable 1.99s 2.05s
% Output : CNFRefutation 1.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 65
% Number of leaves : 9
% Syntax : Number of formulae : 134 ( 77 unt; 6 typ; 0 def)
% Number of atoms : 184 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 115 ( 59 ~; 56 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 4 ( 3 >; 1 *; 0 +; 0 <<)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 475 ( 261 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
not: $i > $i ).
tff(decl_23,type,
or: ( $i * $i ) > $i ).
tff(decl_24,type,
is_a_theorem: $i > $o ).
tff(decl_25,type,
b: $i ).
tff(decl_26,type,
c: $i ).
tff(decl_27,type,
a: $i ).
cnf(condensed_detachment,axiom,
( is_a_theorem(X2)
| ~ is_a_theorem(or(not(X1),X2))
| ~ is_a_theorem(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment) ).
cnf(an_CAMerideth,axiom,
is_a_theorem(or(not(or(not(or(not(X1),X2)),or(X3,or(X4,X5)))),or(not(or(not(X4),X1)),or(X3,or(X5,X1))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',an_CAMerideth) ).
cnf(an_1,negated_conjecture,
~ is_a_theorem(or(not(or(not(b),c)),or(not(or(a,b)),or(a,c)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',an_1) ).
cnf(c_0_3,axiom,
( is_a_theorem(X2)
| ~ is_a_theorem(or(not(X1),X2))
| ~ is_a_theorem(X1) ),
condensed_detachment ).
cnf(c_0_4,axiom,
is_a_theorem(or(not(or(not(or(not(X1),X2)),or(X3,or(X4,X5)))),or(not(or(not(X4),X1)),or(X3,or(X5,X1))))),
an_CAMerideth ).
cnf(c_0_5,plain,
( is_a_theorem(or(not(or(not(X1),X2)),or(X3,or(X4,X2))))
| ~ is_a_theorem(or(not(or(not(X2),X5)),or(X3,or(X1,X4)))) ),
inference(spm,[status(thm)],[c_0_3,c_0_4]) ).
cnf(c_0_6,plain,
is_a_theorem(or(not(or(not(X1),or(not(X2),X3))),or(not(or(not(X4),X2)),or(or(X5,X2),or(not(X2),X3))))),
inference(spm,[status(thm)],[c_0_5,c_0_4]) ).
cnf(c_0_7,plain,
is_a_theorem(or(not(or(not(or(X1,X2)),X3)),or(not(or(not(X4),X2)),or(or(not(X2),X5),X3)))),
inference(spm,[status(thm)],[c_0_5,c_0_6]) ).
cnf(c_0_8,plain,
is_a_theorem(or(not(or(not(or(not(X1),X2)),or(X3,X1))),or(not(or(not(X4),X1)),or(X5,or(X3,X1))))),
inference(spm,[status(thm)],[c_0_5,c_0_7]) ).
cnf(c_0_9,plain,
( is_a_theorem(or(not(or(not(X1),X2)),or(X3,or(X4,X2))))
| ~ is_a_theorem(or(not(or(not(X2),X5)),or(X4,X2))) ),
inference(spm,[status(thm)],[c_0_3,c_0_8]) ).
cnf(c_0_10,plain,
is_a_theorem(or(not(or(not(X1),or(not(X2),or(X3,X2)))),or(X4,or(not(or(not(X5),X2)),or(not(X2),or(X3,X2)))))),
inference(spm,[status(thm)],[c_0_9,c_0_4]) ).
cnf(c_0_11,plain,
( is_a_theorem(or(not(or(not(X1),X2)),or(or(not(X2),X3),X4)))
| ~ is_a_theorem(or(not(or(X5,X2)),X4)) ),
inference(spm,[status(thm)],[c_0_3,c_0_7]) ).
cnf(c_0_12,plain,
is_a_theorem(or(not(or(not(not(or(not(X1),X2))),X3)),or(X4,or(or(not(X2),or(X5,X2)),X3)))),
inference(spm,[status(thm)],[c_0_5,c_0_10]) ).
cnf(c_0_13,plain,
is_a_theorem(or(not(or(not(X1),X2)),or(or(not(X2),X3),or(X4,or(or(not(X5),or(X6,X5)),X2))))),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_14,plain,
is_a_theorem(or(not(or(not(X1),X2)),or(or(not(X3),X4),or(or(or(not(X5),or(X6,X5)),X3),X2)))),
inference(spm,[status(thm)],[c_0_5,c_0_13]) ).
cnf(c_0_15,plain,
is_a_theorem(or(not(or(not(or(or(not(X1),or(X2,X1)),X3)),X4)),or(or(not(X3),X5),or(X6,X4)))),
inference(spm,[status(thm)],[c_0_5,c_0_14]) ).
cnf(c_0_16,plain,
is_a_theorem(or(not(or(not(X1),X2)),or(or(not(X2),X3),or(or(not(X4),X5),or(X6,X2))))),
inference(spm,[status(thm)],[c_0_11,c_0_15]) ).
cnf(c_0_17,plain,
( is_a_theorem(or(X1,or(not(or(not(X2),X3)),or(not(X3),or(X4,X3)))))
| ~ is_a_theorem(or(not(X5),or(not(X3),or(X4,X3)))) ),
inference(spm,[status(thm)],[c_0_3,c_0_10]) ).
cnf(c_0_18,plain,
is_a_theorem(or(not(or(not(or(not(X1),X2)),X3)),or(or(not(X4),X5),or(or(X6,X4),X3)))),
inference(spm,[status(thm)],[c_0_5,c_0_16]) ).
cnf(c_0_19,plain,
is_a_theorem(or(X1,or(not(or(not(X2),X3)),or(not(X3),or(or(not(X4),or(X5,X4)),X3))))),
inference(spm,[status(thm)],[c_0_17,c_0_12]) ).
cnf(c_0_20,plain,
( is_a_theorem(or(or(not(X1),X2),or(or(X3,X1),X4)))
| ~ is_a_theorem(or(not(or(not(X5),X6)),X4)) ),
inference(spm,[status(thm)],[c_0_3,c_0_18]) ).
cnf(c_0_21,plain,
( is_a_theorem(or(not(or(not(X1),X2)),or(not(X2),or(or(not(X3),or(X4,X3)),X2))))
| ~ is_a_theorem(X5) ),
inference(spm,[status(thm)],[c_0_3,c_0_19]) ).
cnf(c_0_22,plain,
is_a_theorem(or(or(not(X1),X2),or(or(X3,X1),or(not(or(not(X4),X5)),or(X6,or(X7,X5)))))),
inference(spm,[status(thm)],[c_0_20,c_0_4]) ).
cnf(c_0_23,plain,
is_a_theorem(or(not(or(not(X1),X2)),or(not(X2),or(or(not(X3),or(X4,X3)),X2)))),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_24,plain,
is_a_theorem(or(not(or(not(or(not(X1),or(X2,X1))),X3)),or(not(X4),or(X4,X3)))),
inference(spm,[status(thm)],[c_0_5,c_0_23]) ).
cnf(c_0_25,plain,
is_a_theorem(or(X1,or(not(or(not(X2),X3)),or(not(X3),or(X3,X3))))),
inference(spm,[status(thm)],[c_0_17,c_0_24]) ).
cnf(c_0_26,plain,
( is_a_theorem(or(not(or(not(X1),X2)),or(not(X2),or(X2,X2))))
| ~ is_a_theorem(X3) ),
inference(spm,[status(thm)],[c_0_3,c_0_25]) ).
cnf(c_0_27,plain,
is_a_theorem(or(not(or(not(X1),X2)),or(not(X2),or(X2,X2)))),
inference(spm,[status(thm)],[c_0_26,c_0_22]) ).
cnf(c_0_28,plain,
is_a_theorem(or(not(or(not(X1),X2)),or(not(X1),or(X1,X2)))),
inference(spm,[status(thm)],[c_0_5,c_0_27]) ).
cnf(c_0_29,plain,
is_a_theorem(or(not(or(not(X1),X1)),or(not(X1),or(X2,X1)))),
inference(spm,[status(thm)],[c_0_5,c_0_28]) ).
cnf(c_0_30,plain,
is_a_theorem(or(X1,or(not(or(not(X2),X3)),or(not(X3),or(X4,X3))))),
inference(spm,[status(thm)],[c_0_17,c_0_29]) ).
cnf(c_0_31,plain,
( is_a_theorem(or(not(or(not(X1),X2)),or(not(X2),or(X3,X2))))
| ~ is_a_theorem(X4) ),
inference(spm,[status(thm)],[c_0_3,c_0_30]) ).
cnf(c_0_32,plain,
is_a_theorem(or(not(or(not(X1),X2)),or(not(X2),or(X3,X2)))),
inference(spm,[status(thm)],[c_0_31,c_0_22]) ).
cnf(c_0_33,plain,
is_a_theorem(or(not(or(not(X1),or(X2,X2))),or(X3,or(not(X2),or(X2,X2))))),
inference(spm,[status(thm)],[c_0_9,c_0_27]) ).
cnf(c_0_34,plain,
is_a_theorem(or(not(or(not(X1),or(X2,X3))),or(X4,or(not(X3),or(X2,X3))))),
inference(spm,[status(thm)],[c_0_9,c_0_32]) ).
cnf(c_0_35,plain,
is_a_theorem(or(not(or(not(not(X1)),X2)),or(X3,or(or(X1,X1),X2)))),
inference(spm,[status(thm)],[c_0_5,c_0_33]) ).
cnf(c_0_36,plain,
( is_a_theorem(or(X1,or(not(X2),or(X3,X2))))
| ~ is_a_theorem(or(not(X4),or(X3,X2))) ),
inference(spm,[status(thm)],[c_0_3,c_0_34]) ).
cnf(c_0_37,plain,
is_a_theorem(or(not(or(not(or(X1,X1)),not(X1))),or(X2,or(X3,not(X1))))),
inference(spm,[status(thm)],[c_0_5,c_0_35]) ).
cnf(c_0_38,plain,
is_a_theorem(or(X1,or(not(or(X2,not(X3))),or(X4,or(X2,not(X3)))))),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_39,plain,
( is_a_theorem(or(not(or(X1,not(X2))),or(X3,or(X1,not(X2)))))
| ~ is_a_theorem(X4) ),
inference(spm,[status(thm)],[c_0_3,c_0_38]) ).
cnf(c_0_40,plain,
is_a_theorem(or(or(not(X1),X2),or(or(X3,X1),or(or(not(X4),X5),or(X6,X7))))),
inference(spm,[status(thm)],[c_0_20,c_0_15]) ).
cnf(c_0_41,plain,
is_a_theorem(or(not(or(X1,not(X2))),or(X3,or(X1,not(X2))))),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_42,plain,
is_a_theorem(or(not(or(not(X1),X2)),or(not(X3),or(X3,X2)))),
inference(spm,[status(thm)],[c_0_5,c_0_32]) ).
cnf(c_0_43,plain,
is_a_theorem(or(not(or(not(not(X1)),X1)),or(X2,or(not(X3),X1)))),
inference(spm,[status(thm)],[c_0_5,c_0_41]) ).
cnf(c_0_44,plain,
is_a_theorem(or(not(or(not(X1),or(X2,X3))),or(X4,or(not(X2),or(X2,X3))))),
inference(spm,[status(thm)],[c_0_9,c_0_42]) ).
cnf(c_0_45,plain,
is_a_theorem(or(X1,or(not(or(not(X2),X3)),or(X4,or(not(X2),X3))))),
inference(spm,[status(thm)],[c_0_36,c_0_43]) ).
cnf(c_0_46,plain,
is_a_theorem(or(not(or(not(not(X1)),X2)),or(X3,or(or(X1,X4),X2)))),
inference(spm,[status(thm)],[c_0_5,c_0_44]) ).
cnf(c_0_47,plain,
( is_a_theorem(or(not(or(not(X1),X2)),or(X3,or(not(X1),X2))))
| ~ is_a_theorem(X4) ),
inference(spm,[status(thm)],[c_0_3,c_0_45]) ).
cnf(c_0_48,plain,
is_a_theorem(or(not(or(not(or(X1,X2)),not(X1))),or(X3,or(X4,not(X1))))),
inference(spm,[status(thm)],[c_0_5,c_0_46]) ).
cnf(c_0_49,plain,
is_a_theorem(or(not(or(not(X1),X2)),or(X3,or(not(X1),X2)))),
inference(spm,[status(thm)],[c_0_47,c_0_40]) ).
cnf(c_0_50,plain,
is_a_theorem(or(not(or(not(or(X1,X2)),or(not(X3),X4))),or(or(not(X2),X5),or(X6,or(not(X3),X4))))),
inference(spm,[status(thm)],[c_0_5,c_0_18]) ).
cnf(c_0_51,plain,
is_a_theorem(or(not(or(not(X1),or(X2,not(X2)))),or(X3,or(X4,or(X2,not(X2)))))),
inference(spm,[status(thm)],[c_0_9,c_0_48]) ).
cnf(c_0_52,plain,
is_a_theorem(or(not(or(not(not(X1)),X1)),or(X2,or(X3,X1)))),
inference(spm,[status(thm)],[c_0_5,c_0_49]) ).
cnf(c_0_53,plain,
is_a_theorem(or(not(or(not(X1),or(X2,X3))),or(or(not(X3),X4),or(or(not(X5),X6),or(X2,X3))))),
inference(spm,[status(thm)],[c_0_5,c_0_50]) ).
cnf(c_0_54,plain,
is_a_theorem(or(not(or(not(X1),X2)),or(X3,or(or(X4,not(X4)),X2)))),
inference(spm,[status(thm)],[c_0_5,c_0_51]) ).
cnf(c_0_55,plain,
is_a_theorem(or(X1,or(not(or(X2,X3)),or(X4,or(X2,X3))))),
inference(spm,[status(thm)],[c_0_36,c_0_52]) ).
cnf(c_0_56,plain,
( is_a_theorem(or(or(not(X1),X2),or(or(not(X3),X4),or(X5,X1))))
| ~ is_a_theorem(or(not(X6),or(X5,X1))) ),
inference(spm,[status(thm)],[c_0_3,c_0_53]) ).
cnf(c_0_57,plain,
is_a_theorem(or(not(or(not(or(X1,not(X1))),X2)),or(X3,or(X4,X2)))),
inference(spm,[status(thm)],[c_0_5,c_0_54]) ).
cnf(c_0_58,plain,
( is_a_theorem(or(not(or(X1,X2)),or(X3,or(X1,X2))))
| ~ is_a_theorem(X4) ),
inference(spm,[status(thm)],[c_0_3,c_0_55]) ).
cnf(c_0_59,plain,
is_a_theorem(or(or(not(or(X1,or(X2,X3))),X4),or(or(not(X5),X6),or(not(or(not(X7),X3)),or(X1,or(X2,X3)))))),
inference(spm,[status(thm)],[c_0_56,c_0_4]) ).
cnf(c_0_60,plain,
( is_a_theorem(or(X1,or(X2,X3)))
| ~ is_a_theorem(or(not(or(X4,not(X4))),X3)) ),
inference(spm,[status(thm)],[c_0_3,c_0_57]) ).
cnf(c_0_61,plain,
is_a_theorem(or(not(or(X1,X2)),or(X3,or(X1,X2)))),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_62,plain,
is_a_theorem(or(X1,or(X2,or(X3,or(X4,not(X4)))))),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_63,plain,
( is_a_theorem(or(or(not(X1),X2),or(X3,or(not(X4),X5))))
| ~ is_a_theorem(or(not(or(X6,X1)),or(not(X4),X5))) ),
inference(spm,[status(thm)],[c_0_3,c_0_50]) ).
cnf(c_0_64,plain,
( is_a_theorem(or(X1,or(X2,or(X3,not(X3)))))
| ~ is_a_theorem(X4) ),
inference(spm,[status(thm)],[c_0_3,c_0_62]) ).
cnf(c_0_65,plain,
is_a_theorem(or(or(not(or(X1,or(X2,X3))),X4),or(X5,or(not(or(not(X2),X6)),or(X1,or(X3,X6)))))),
inference(spm,[status(thm)],[c_0_63,c_0_4]) ).
cnf(c_0_66,plain,
( is_a_theorem(or(X1,or(not(X2),or(X2,X3))))
| ~ is_a_theorem(or(not(X4),or(X2,X3))) ),
inference(spm,[status(thm)],[c_0_3,c_0_44]) ).
cnf(c_0_67,plain,
is_a_theorem(or(not(or(not(X1),X2)),or(not(X1),or(X3,X2)))),
inference(spm,[status(thm)],[c_0_5,c_0_42]) ).
cnf(c_0_68,plain,
is_a_theorem(or(X1,or(X2,or(X3,not(X3))))),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_69,plain,
is_a_theorem(or(X1,or(not(not(X2)),or(not(X2),or(X3,X4))))),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_70,plain,
( is_a_theorem(or(X1,or(X2,not(X2))))
| ~ is_a_theorem(X3) ),
inference(spm,[status(thm)],[c_0_3,c_0_68]) ).
cnf(c_0_71,plain,
is_a_theorem(or(X1,or(not(or(X2,X3)),or(not(X4),or(X2,X3))))),
inference(spm,[status(thm)],[c_0_36,c_0_67]) ).
cnf(c_0_72,plain,
( is_a_theorem(or(not(not(X1)),or(not(X1),or(X2,X3))))
| ~ is_a_theorem(X4) ),
inference(spm,[status(thm)],[c_0_3,c_0_69]) ).
cnf(c_0_73,plain,
is_a_theorem(or(or(not(X1),X2),or(or(X3,X1),or(X4,or(not(or(not(X5),X6)),or(not(X6),or(X7,X6))))))),
inference(spm,[status(thm)],[c_0_20,c_0_10]) ).
cnf(c_0_74,plain,
is_a_theorem(or(X1,or(X2,not(X2)))),
inference(spm,[status(thm)],[c_0_70,c_0_65]) ).
cnf(c_0_75,plain,
( is_a_theorem(or(not(or(X1,X2)),or(not(X3),or(X1,X2))))
| ~ is_a_theorem(X4) ),
inference(spm,[status(thm)],[c_0_3,c_0_71]) ).
cnf(c_0_76,plain,
is_a_theorem(or(not(not(X1)),or(not(X1),or(X2,X3)))),
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
cnf(c_0_77,plain,
( is_a_theorem(or(X1,not(X1)))
| ~ is_a_theorem(X2) ),
inference(spm,[status(thm)],[c_0_3,c_0_74]) ).
cnf(c_0_78,plain,
( is_a_theorem(or(not(X1),or(X2,X3)))
| ~ is_a_theorem(or(not(X1),X3)) ),
inference(spm,[status(thm)],[c_0_3,c_0_67]) ).
cnf(c_0_79,plain,
is_a_theorem(or(not(or(X1,X2)),or(not(X3),or(X1,X2)))),
inference(spm,[status(thm)],[c_0_75,c_0_73]) ).
cnf(c_0_80,plain,
( is_a_theorem(or(not(X1),or(X2,X3)))
| ~ is_a_theorem(not(X1)) ),
inference(spm,[status(thm)],[c_0_3,c_0_76]) ).
cnf(c_0_81,plain,
is_a_theorem(or(X1,not(X1))),
inference(spm,[status(thm)],[c_0_77,c_0_65]) ).
cnf(c_0_82,plain,
( is_a_theorem(or(X1,X2))
| ~ is_a_theorem(or(not(X3),X2))
| ~ is_a_theorem(X3) ),
inference(spm,[status(thm)],[c_0_3,c_0_78]) ).
cnf(c_0_83,plain,
( is_a_theorem(or(not(X1),or(X2,X3)))
| ~ is_a_theorem(or(X2,X3)) ),
inference(spm,[status(thm)],[c_0_3,c_0_79]) ).
cnf(c_0_84,plain,
( is_a_theorem(or(X1,or(not(X2),or(X2,X3))))
| ~ is_a_theorem(not(X4)) ),
inference(spm,[status(thm)],[c_0_66,c_0_80]) ).
cnf(c_0_85,plain,
( is_a_theorem(not(not(X1)))
| ~ is_a_theorem(X1) ),
inference(spm,[status(thm)],[c_0_3,c_0_81]) ).
cnf(c_0_86,plain,
( is_a_theorem(or(X1,or(X2,X3)))
| ~ is_a_theorem(or(X2,X3))
| ~ is_a_theorem(X4) ),
inference(spm,[status(thm)],[c_0_82,c_0_83]) ).
cnf(c_0_87,plain,
( is_a_theorem(or(X1,or(not(X2),or(X2,X3))))
| ~ is_a_theorem(X4) ),
inference(spm,[status(thm)],[c_0_84,c_0_85]) ).
cnf(c_0_88,plain,
( is_a_theorem(or(not(X1),or(X2,X1)))
| ~ is_a_theorem(or(not(X3),X1)) ),
inference(spm,[status(thm)],[c_0_3,c_0_32]) ).
cnf(c_0_89,plain,
( is_a_theorem(or(X1,or(X2,X3)))
| ~ is_a_theorem(or(X2,X3)) ),
inference(spm,[status(thm)],[c_0_86,c_0_73]) ).
cnf(c_0_90,plain,
is_a_theorem(or(X1,or(not(X2),or(X2,X3)))),
inference(spm,[status(thm)],[c_0_87,c_0_65]) ).
cnf(c_0_91,plain,
( is_a_theorem(or(not(or(X1,X2)),or(X3,or(X1,X2))))
| ~ is_a_theorem(or(X1,X2)) ),
inference(spm,[status(thm)],[c_0_88,c_0_89]) ).
cnf(c_0_92,plain,
( is_a_theorem(or(not(X1),or(X1,X2)))
| ~ is_a_theorem(X3) ),
inference(spm,[status(thm)],[c_0_3,c_0_90]) ).
cnf(c_0_93,plain,
( is_a_theorem(or(X1,or(X2,or(X3,X4))))
| ~ is_a_theorem(or(X3,X4)) ),
inference(spm,[status(thm)],[c_0_82,c_0_91]) ).
cnf(c_0_94,plain,
is_a_theorem(or(not(or(not(not(X1)),X2)),or(X3,or(or(X4,X1),X2)))),
inference(spm,[status(thm)],[c_0_5,c_0_34]) ).
cnf(c_0_95,plain,
is_a_theorem(or(not(X1),or(X1,X2))),
inference(spm,[status(thm)],[c_0_92,c_0_65]) ).
cnf(c_0_96,plain,
( is_a_theorem(or(not(or(not(X1),X2)),or(X3,or(X4,X2))))
| ~ is_a_theorem(or(X1,X4)) ),
inference(spm,[status(thm)],[c_0_5,c_0_93]) ).
cnf(c_0_97,plain,
( is_a_theorem(or(X1,or(or(X2,X3),X4)))
| ~ is_a_theorem(or(not(not(X3)),X4)) ),
inference(spm,[status(thm)],[c_0_3,c_0_94]) ).
cnf(c_0_98,plain,
is_a_theorem(or(X1,or(not(X2),or(X3,X2)))),
inference(spm,[status(thm)],[c_0_36,c_0_95]) ).
cnf(c_0_99,plain,
( is_a_theorem(or(not(or(not(X1),X2)),or(X3,or(X4,X2))))
| ~ is_a_theorem(or(X2,X1)) ),
inference(spm,[status(thm)],[c_0_5,c_0_96]) ).
cnf(c_0_100,plain,
is_a_theorem(or(X1,or(or(X2,X3),or(not(X3),X4)))),
inference(spm,[status(thm)],[c_0_97,c_0_95]) ).
cnf(c_0_101,plain,
( is_a_theorem(or(not(X1),or(X2,X1)))
| ~ is_a_theorem(X3) ),
inference(spm,[status(thm)],[c_0_3,c_0_98]) ).
cnf(c_0_102,plain,
( is_a_theorem(or(X1,or(X2,X3)))
| ~ is_a_theorem(or(not(X4),X3))
| ~ is_a_theorem(or(X3,X4)) ),
inference(spm,[status(thm)],[c_0_3,c_0_99]) ).
cnf(c_0_103,plain,
( is_a_theorem(or(or(X1,X2),or(not(X2),X3)))
| ~ is_a_theorem(X4) ),
inference(spm,[status(thm)],[c_0_3,c_0_100]) ).
cnf(c_0_104,plain,
is_a_theorem(or(not(X1),or(X2,X1))),
inference(spm,[status(thm)],[c_0_101,c_0_65]) ).
cnf(c_0_105,plain,
( is_a_theorem(or(X1,or(X2,or(X3,X4))))
| ~ is_a_theorem(or(or(X3,X4),X3)) ),
inference(spm,[status(thm)],[c_0_102,c_0_95]) ).
cnf(c_0_106,plain,
is_a_theorem(or(or(X1,X2),or(not(X2),X3))),
inference(spm,[status(thm)],[c_0_103,c_0_65]) ).
cnf(c_0_107,plain,
is_a_theorem(or(X1,or(or(X2,X3),or(X4,not(X3))))),
inference(spm,[status(thm)],[c_0_97,c_0_104]) ).
cnf(c_0_108,plain,
is_a_theorem(or(X1,or(X2,or(or(not(X3),X4),X3)))),
inference(spm,[status(thm)],[c_0_105,c_0_106]) ).
cnf(c_0_109,plain,
( is_a_theorem(or(or(X1,X2),or(X3,not(X2))))
| ~ is_a_theorem(X4) ),
inference(spm,[status(thm)],[c_0_3,c_0_107]) ).
cnf(c_0_110,plain,
( is_a_theorem(or(X1,or(or(not(X2),X3),X2)))
| ~ is_a_theorem(X4) ),
inference(spm,[status(thm)],[c_0_3,c_0_108]) ).
cnf(c_0_111,plain,
is_a_theorem(or(or(X1,X2),or(X3,not(X2)))),
inference(spm,[status(thm)],[c_0_109,c_0_65]) ).
cnf(c_0_112,plain,
is_a_theorem(or(X1,or(or(not(X2),X3),X2))),
inference(spm,[status(thm)],[c_0_110,c_0_111]) ).
cnf(c_0_113,plain,
( is_a_theorem(or(or(not(X1),X2),X1))
| ~ is_a_theorem(X3) ),
inference(spm,[status(thm)],[c_0_3,c_0_112]) ).
cnf(c_0_114,plain,
( is_a_theorem(or(X1,or(X2,or(X3,X4))))
| ~ is_a_theorem(or(or(X3,X4),X4)) ),
inference(spm,[status(thm)],[c_0_102,c_0_104]) ).
cnf(c_0_115,plain,
is_a_theorem(or(or(not(X1),X2),X1)),
inference(spm,[status(thm)],[c_0_113,c_0_111]) ).
cnf(c_0_116,plain,
is_a_theorem(or(X1,or(X2,or(not(X3),X3)))),
inference(spm,[status(thm)],[c_0_114,c_0_115]) ).
cnf(c_0_117,plain,
( is_a_theorem(or(X1,or(not(X2),X2)))
| ~ is_a_theorem(X3) ),
inference(spm,[status(thm)],[c_0_3,c_0_116]) ).
cnf(c_0_118,plain,
is_a_theorem(or(or(not(X1),X2),or(or(not(X3),X4),or(X5,X1)))),
inference(spm,[status(thm)],[c_0_56,c_0_95]) ).
cnf(c_0_119,plain,
is_a_theorem(or(X1,or(not(X2),X2))),
inference(spm,[status(thm)],[c_0_117,c_0_118]) ).
cnf(c_0_120,negated_conjecture,
~ is_a_theorem(or(not(or(not(b),c)),or(not(or(a,b)),or(a,c)))),
an_1 ).
cnf(c_0_121,plain,
( is_a_theorem(or(not(or(not(X1),X2)),or(X3,or(X4,X2))))
| ~ is_a_theorem(or(X3,or(X1,X4))) ),
inference(spm,[status(thm)],[c_0_5,c_0_89]) ).
cnf(c_0_122,plain,
is_a_theorem(or(not(or(not(X1),X2)),or(not(or(X1,X3)),or(X3,X2)))),
inference(spm,[status(thm)],[c_0_5,c_0_119]) ).
cnf(c_0_123,plain,
( is_a_theorem(or(not(X1),X1))
| ~ is_a_theorem(X2) ),
inference(spm,[status(thm)],[c_0_3,c_0_119]) ).
cnf(c_0_124,negated_conjecture,
~ is_a_theorem(or(not(or(a,b)),or(b,a))),
inference(spm,[status(thm)],[c_0_120,c_0_121]) ).
cnf(c_0_125,plain,
( is_a_theorem(or(not(or(X1,X2)),or(X2,X3)))
| ~ is_a_theorem(or(not(X1),X3)) ),
inference(spm,[status(thm)],[c_0_3,c_0_122]) ).
cnf(c_0_126,plain,
is_a_theorem(or(not(X1),X1)),
inference(spm,[status(thm)],[c_0_123,c_0_118]) ).
cnf(c_0_127,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_125]),c_0_126])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LCL002-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.17/0.35 % Computer : n018.cluster.edu
% 0.17/0.35 % Model : x86_64 x86_64
% 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35 % Memory : 8042.1875MB
% 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35 % CPULimit : 300
% 0.17/0.35 % WCLimit : 300
% 0.17/0.35 % DateTime : Thu Aug 24 19:03:13 EDT 2023
% 0.17/0.35 % CPUTime :
% 0.21/0.58 start to proof: theBenchmark
% 1.99/2.05 % Version : CSE_E---1.5
% 1.99/2.05 % Problem : theBenchmark.p
% 1.99/2.05 % Proof found
% 1.99/2.05 % SZS status Theorem for theBenchmark.p
% 1.99/2.05 % SZS output start Proof
% See solution above
% 1.99/2.06 % Total time : 1.464000 s
% 1.99/2.06 % SZS output end Proof
% 1.99/2.06 % Total time : 1.468000 s
%------------------------------------------------------------------------------