TSTP Solution File: LCL038-1 by CSE_E---1.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : LCL038-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/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 06:51:54 EDT 2023
% Result : Unsatisfiable 96.34s 96.45s
% Output : CNFRefutation 96.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 101
% Number of leaves : 8
% Syntax : Number of formulae : 170 ( 84 unt; 5 typ; 0 def)
% Number of atoms : 259 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 190 ( 96 ~; 94 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 3 ( 2 >; 1 *; 0 +; 0 <<)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 561 ( 208 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
implies: ( $i * $i ) > $i ).
tff(decl_23,type,
is_a_theorem: $i > $o ).
tff(decl_24,type,
a: $i ).
tff(decl_25,type,
b: $i ).
tff(decl_26,type,
c: $i ).
cnf(condensed_detachment,axiom,
( is_a_theorem(X2)
| ~ is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment) ).
cnf(ic_JLukasiewicz,axiom,
is_a_theorem(implies(implies(implies(X1,X2),X3),implies(implies(X3,X1),implies(X4,X1)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz) ).
cnf(prove_c0_1,negated_conjecture,
~ is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_c0_1) ).
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(X1,X2),X3),implies(implies(X3,X1),implies(X4,X1)))),
ic_JLukasiewicz ).
cnf(c_0_5,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_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(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_8,plain,
is_a_theorem(implies(X1,implies(implies(X2,X3),implies(X3,implies(X2,X3))))),
inference(spm,[status(thm)],[c_0_7,c_0_6]) ).
cnf(c_0_9,plain,
( is_a_theorem(implies(implies(X1,X2),implies(X2,implies(X1,X2))))
| ~ is_a_theorem(X3) ),
inference(spm,[status(thm)],[c_0_3,c_0_8]) ).
cnf(c_0_10,plain,
is_a_theorem(implies(implies(X1,X2),implies(X2,implies(X1,X2)))),
inference(spm,[status(thm)],[c_0_9,c_0_4]) ).
cnf(c_0_11,plain,
is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X2,implies(X1,X2))),X3),implies(X4,X3))),
inference(spm,[status(thm)],[c_0_5,c_0_8]) ).
cnf(c_0_12,plain,
is_a_theorem(implies(implies(implies(X1,implies(X2,X1)),X2),implies(X3,X2))),
inference(spm,[status(thm)],[c_0_5,c_0_10]) ).
cnf(c_0_13,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(implies(implies(X3,X4),implies(X4,implies(X3,X4))),X2)) ),
inference(spm,[status(thm)],[c_0_3,c_0_11]) ).
cnf(c_0_14,plain,
is_a_theorem(implies(implies(implies(X1,X2),implies(X3,implies(X2,X3))),implies(X4,implies(X3,implies(X2,X3))))),
inference(spm,[status(thm)],[c_0_5,c_0_12]) ).
cnf(c_0_15,plain,
is_a_theorem(implies(X1,implies(X2,implies(X3,implies(X3,X3))))),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_16,plain,
( is_a_theorem(implies(X1,implies(X2,implies(X2,X2))))
| ~ is_a_theorem(X3) ),
inference(spm,[status(thm)],[c_0_3,c_0_15]) ).
cnf(c_0_17,plain,
is_a_theorem(implies(X1,implies(X2,implies(X2,X2)))),
inference(spm,[status(thm)],[c_0_16,c_0_4]) ).
cnf(c_0_18,plain,
is_a_theorem(implies(implies(implies(X1,implies(X1,X1)),X2),implies(X3,X2))),
inference(spm,[status(thm)],[c_0_5,c_0_17]) ).
cnf(c_0_19,plain,
is_a_theorem(implies(X1,implies(implies(X2,X2),implies(X3,implies(X2,X2))))),
inference(spm,[status(thm)],[c_0_7,c_0_18]) ).
cnf(c_0_20,plain,
( is_a_theorem(implies(implies(X1,X1),implies(X2,implies(X1,X1))))
| ~ is_a_theorem(X3) ),
inference(spm,[status(thm)],[c_0_3,c_0_19]) ).
cnf(c_0_21,plain,
is_a_theorem(implies(implies(X1,X1),implies(X2,implies(X1,X1)))),
inference(spm,[status(thm)],[c_0_20,c_0_4]) ).
cnf(c_0_22,plain,
is_a_theorem(implies(X1,implies(X2,implies(implies(X3,X2),implies(X3,X2))))),
inference(spm,[status(thm)],[c_0_7,c_0_21]) ).
cnf(c_0_23,plain,
( is_a_theorem(implies(X1,implies(implies(X2,X1),implies(X2,X1))))
| ~ is_a_theorem(X3) ),
inference(spm,[status(thm)],[c_0_3,c_0_22]) ).
cnf(c_0_24,plain,
is_a_theorem(implies(X1,implies(implies(X2,X1),implies(X2,X1)))),
inference(spm,[status(thm)],[c_0_23,c_0_4]) ).
cnf(c_0_25,plain,
( is_a_theorem(implies(implies(X1,X2),implies(X1,X2)))
| ~ is_a_theorem(X2) ),
inference(spm,[status(thm)],[c_0_3,c_0_24]) ).
cnf(c_0_26,plain,
( is_a_theorem(implies(implies(implies(X1,X2),X1),implies(X3,X1)))
| ~ is_a_theorem(X2) ),
inference(spm,[status(thm)],[c_0_5,c_0_25]) ).
cnf(c_0_27,plain,
( is_a_theorem(implies(X1,implies(X2,implies(X3,X2))))
| ~ is_a_theorem(X2) ),
inference(spm,[status(thm)],[c_0_7,c_0_26]) ).
cnf(c_0_28,plain,
( is_a_theorem(implies(X1,implies(X2,X1)))
| ~ is_a_theorem(X3)
| ~ is_a_theorem(X1) ),
inference(spm,[status(thm)],[c_0_3,c_0_27]) ).
cnf(c_0_29,plain,
( is_a_theorem(implies(X1,implies(X2,X1)))
| ~ is_a_theorem(X1) ),
inference(spm,[status(thm)],[c_0_28,c_0_4]) ).
cnf(c_0_30,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(X2) ),
inference(spm,[status(thm)],[c_0_3,c_0_29]) ).
cnf(c_0_31,plain,
( is_a_theorem(implies(implies(X1,X2),implies(X3,X2)))
| ~ is_a_theorem(X1) ),
inference(spm,[status(thm)],[c_0_5,c_0_30]) ).
cnf(c_0_32,plain,
( is_a_theorem(implies(X1,implies(X2,implies(X3,X2))))
| ~ is_a_theorem(implies(X4,X2)) ),
inference(spm,[status(thm)],[c_0_7,c_0_31]) ).
cnf(c_0_33,plain,
is_a_theorem(implies(X1,implies(implies(X2,X3),implies(X4,implies(X2,X3))))),
inference(spm,[status(thm)],[c_0_32,c_0_11]) ).
cnf(c_0_34,plain,
( is_a_theorem(implies(implies(X1,X2),implies(X3,implies(X1,X2))))
| ~ is_a_theorem(X4) ),
inference(spm,[status(thm)],[c_0_3,c_0_33]) ).
cnf(c_0_35,plain,
is_a_theorem(implies(implies(X1,X2),implies(X3,implies(X1,X2)))),
inference(spm,[status(thm)],[c_0_34,c_0_4]) ).
cnf(c_0_36,plain,
is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X3,implies(X1,X2))),X4),implies(X5,X4))),
inference(spm,[status(thm)],[c_0_5,c_0_33]) ).
cnf(c_0_37,plain,
is_a_theorem(implies(implies(implies(X1,implies(X2,X3)),X2),implies(X4,X2))),
inference(spm,[status(thm)],[c_0_5,c_0_35]) ).
cnf(c_0_38,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(implies(implies(X3,X4),implies(X5,implies(X3,X4))),X2)) ),
inference(spm,[status(thm)],[c_0_3,c_0_36]) ).
cnf(c_0_39,plain,
is_a_theorem(implies(implies(implies(X1,X2),implies(X3,implies(X2,X4))),implies(X5,implies(X3,implies(X2,X4))))),
inference(spm,[status(thm)],[c_0_5,c_0_37]) ).
cnf(c_0_40,plain,
is_a_theorem(implies(X1,implies(X2,implies(X3,implies(X4,X4))))),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_41,plain,
( is_a_theorem(implies(X1,implies(X2,implies(X3,X3))))
| ~ is_a_theorem(X4) ),
inference(spm,[status(thm)],[c_0_3,c_0_40]) ).
cnf(c_0_42,plain,
is_a_theorem(implies(X1,implies(X2,implies(X3,X3)))),
inference(spm,[status(thm)],[c_0_41,c_0_4]) ).
cnf(c_0_43,plain,
( is_a_theorem(implies(X1,implies(X2,X2)))
| ~ is_a_theorem(X3) ),
inference(spm,[status(thm)],[c_0_3,c_0_42]) ).
cnf(c_0_44,plain,
is_a_theorem(implies(X1,implies(X2,X2))),
inference(spm,[status(thm)],[c_0_43,c_0_4]) ).
cnf(c_0_45,plain,
( is_a_theorem(implies(X1,X1))
| ~ is_a_theorem(X2) ),
inference(spm,[status(thm)],[c_0_3,c_0_44]) ).
cnf(c_0_46,plain,
is_a_theorem(implies(X1,X1)),
inference(spm,[status(thm)],[c_0_45,c_0_4]) ).
cnf(c_0_47,plain,
is_a_theorem(implies(implies(implies(X1,X2),X1),implies(X3,X1))),
inference(spm,[status(thm)],[c_0_5,c_0_46]) ).
cnf(c_0_48,plain,
is_a_theorem(implies(implies(implies(X1,X2),implies(X2,X3)),implies(X4,implies(X2,X3)))),
inference(spm,[status(thm)],[c_0_5,c_0_47]) ).
cnf(c_0_49,plain,
is_a_theorem(implies(implies(implies(X1,implies(X2,X3)),implies(X4,X2)),implies(X5,implies(X4,X2)))),
inference(spm,[status(thm)],[c_0_5,c_0_48]) ).
cnf(c_0_50,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_31]) ).
cnf(c_0_51,plain,
( is_a_theorem(implies(X1,implies(X2,X3)))
| ~ is_a_theorem(implies(implies(X4,implies(X3,X5)),implies(X2,X3))) ),
inference(spm,[status(thm)],[c_0_3,c_0_49]) ).
cnf(c_0_52,plain,
( is_a_theorem(implies(X1,implies(implies(X2,X3),implies(X4,X3))))
| ~ is_a_theorem(implies(implies(X3,X5),X2)) ),
inference(spm,[status(thm)],[c_0_50,c_0_4]) ).
cnf(c_0_53,plain,
is_a_theorem(implies(X1,implies(implies(implies(implies(X2,X3),X4),X3),implies(X2,X3)))),
inference(spm,[status(thm)],[c_0_51,c_0_4]) ).
cnf(c_0_54,plain,
is_a_theorem(implies(X1,implies(implies(implies(X2,X2),X3),implies(X4,X3)))),
inference(spm,[status(thm)],[c_0_52,c_0_44]) ).
cnf(c_0_55,plain,
( is_a_theorem(implies(implies(implies(implies(X1,X2),X3),X2),implies(X1,X2)))
| ~ is_a_theorem(X4) ),
inference(spm,[status(thm)],[c_0_3,c_0_53]) ).
cnf(c_0_56,plain,
is_a_theorem(implies(implies(implies(implies(implies(X1,X1),X2),implies(X3,X2)),X4),implies(X5,X4))),
inference(spm,[status(thm)],[c_0_5,c_0_54]) ).
cnf(c_0_57,plain,
is_a_theorem(implies(implies(implies(implies(X1,X2),X3),X2),implies(X1,X2))),
inference(spm,[status(thm)],[c_0_55,c_0_4]) ).
cnf(c_0_58,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(implies(implies(implies(X3,X3),X4),implies(X5,X4)),X2)) ),
inference(spm,[status(thm)],[c_0_3,c_0_56]) ).
cnf(c_0_59,plain,
is_a_theorem(implies(implies(implies(X1,X2),implies(implies(X1,X2),X3)),implies(X4,implies(implies(X1,X2),X3)))),
inference(spm,[status(thm)],[c_0_5,c_0_57]) ).
cnf(c_0_60,plain,
is_a_theorem(implies(X1,implies(X2,implies(implies(implies(X3,X3),X4),X4)))),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_61,plain,
( is_a_theorem(implies(X1,implies(implies(implies(X2,X2),X3),X3)))
| ~ is_a_theorem(X4) ),
inference(spm,[status(thm)],[c_0_3,c_0_60]) ).
cnf(c_0_62,plain,
is_a_theorem(implies(X1,implies(implies(implies(X2,X2),X3),X3))),
inference(spm,[status(thm)],[c_0_61,c_0_4]) ).
cnf(c_0_63,plain,
is_a_theorem(implies(X1,implies(implies(implies(X2,X3),X2),implies(X4,X2)))),
inference(spm,[status(thm)],[c_0_52,c_0_46]) ).
cnf(c_0_64,plain,
( is_a_theorem(implies(implies(implies(X1,X1),X2),X2))
| ~ is_a_theorem(X3) ),
inference(spm,[status(thm)],[c_0_3,c_0_62]) ).
cnf(c_0_65,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_63]) ).
cnf(c_0_66,plain,
is_a_theorem(implies(implies(implies(X1,X1),X2),X2)),
inference(spm,[status(thm)],[c_0_64,c_0_4]) ).
cnf(c_0_67,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(implies(implies(implies(X3,X4),X3),implies(X5,X3)),X2)) ),
inference(spm,[status(thm)],[c_0_3,c_0_65]) ).
cnf(c_0_68,plain,
( is_a_theorem(X1)
| ~ is_a_theorem(implies(implies(X2,X2),X1)) ),
inference(spm,[status(thm)],[c_0_3,c_0_66]) ).
cnf(c_0_69,plain,
is_a_theorem(implies(X1,implies(X2,implies(implies(implies(X3,X4),X3),X3)))),
inference(spm,[status(thm)],[c_0_67,c_0_59]) ).
cnf(c_0_70,plain,
is_a_theorem(implies(X1,implies(implies(implies(X2,X3),X2),X2))),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_71,plain,
is_a_theorem(implies(implies(implies(X1,X2),X1),X1)),
inference(spm,[status(thm)],[c_0_68,c_0_70]) ).
cnf(c_0_72,plain,
is_a_theorem(implies(implies(X1,implies(X1,X2)),implies(X3,implies(X1,X2)))),
inference(spm,[status(thm)],[c_0_5,c_0_71]) ).
cnf(c_0_73,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_72]) ).
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_73,c_0_72]) ).
cnf(c_0_75,plain,
is_a_theorem(implies(X1,implies(implies(implies(X2,implies(X3,X4)),X3),X3))),
inference(spm,[status(thm)],[c_0_73,c_0_37]) ).
cnf(c_0_76,plain,
is_a_theorem(implies(implies(X1,implies(X1,X2)),implies(X1,X2))),
inference(spm,[status(thm)],[c_0_68,c_0_74]) ).
cnf(c_0_77,plain,
is_a_theorem(implies(implies(implies(X1,implies(X2,X3)),X2),X2)),
inference(spm,[status(thm)],[c_0_68,c_0_75]) ).
cnf(c_0_78,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(X1,implies(X1,X2))) ),
inference(spm,[status(thm)],[c_0_3,c_0_76]) ).
cnf(c_0_79,plain,
is_a_theorem(implies(implies(X1,implies(X2,implies(X1,X3))),implies(X4,implies(X2,implies(X1,X3))))),
inference(spm,[status(thm)],[c_0_5,c_0_77]) ).
cnf(c_0_80,plain,
is_a_theorem(implies(implies(X1,implies(X2,implies(X1,X3))),implies(X2,implies(X1,X3)))),
inference(spm,[status(thm)],[c_0_78,c_0_79]) ).
cnf(c_0_81,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_3,c_0_80]) ).
cnf(c_0_82,plain,
is_a_theorem(implies(implies(X1,X2),implies(implies(implies(X2,X3),X1),X2))),
inference(spm,[status(thm)],[c_0_81,c_0_4]) ).
cnf(c_0_83,plain,
( is_a_theorem(implies(implies(implies(X1,X2),X3),X1))
| ~ is_a_theorem(implies(X3,X1)) ),
inference(spm,[status(thm)],[c_0_3,c_0_82]) ).
cnf(c_0_84,plain,
( is_a_theorem(X1)
| ~ is_a_theorem(implies(implies(X1,X2),X3))
| ~ is_a_theorem(implies(X3,X1)) ),
inference(spm,[status(thm)],[c_0_3,c_0_83]) ).
cnf(c_0_85,plain,
( is_a_theorem(implies(X1,implies(X2,X3)))
| ~ is_a_theorem(implies(implies(X4,implies(X5,X2)),implies(X1,implies(X2,X3)))) ),
inference(spm,[status(thm)],[c_0_84,c_0_49]) ).
cnf(c_0_86,plain,
is_a_theorem(implies(implies(implies(X1,X2),X3),implies(X2,X3))),
inference(spm,[status(thm)],[c_0_85,c_0_4]) ).
cnf(c_0_87,plain,
is_a_theorem(implies(implies(implies(implies(implies(X1,X2),X1),implies(X3,X1)),X4),X4)),
inference(spm,[status(thm)],[c_0_78,c_0_65]) ).
cnf(c_0_88,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(implies(X3,X1),X2)) ),
inference(spm,[status(thm)],[c_0_3,c_0_86]) ).
cnf(c_0_89,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_87]) ).
cnf(c_0_90,plain,
is_a_theorem(implies(X1,implies(implies(X1,X2),implies(X3,X2)))),
inference(spm,[status(thm)],[c_0_88,c_0_4]) ).
cnf(c_0_91,plain,
is_a_theorem(implies(implies(implies(implies(implies(X1,X1),X2),implies(X3,X2)),X4),X4)),
inference(spm,[status(thm)],[c_0_78,c_0_56]) ).
cnf(c_0_92,plain,
is_a_theorem(implies(implies(implies(implies(X1,X2),X3),implies(implies(X2,X4),X2)),implies(X1,X2))),
inference(spm,[status(thm)],[c_0_89,c_0_82]) ).
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_5,c_0_90]) ).
cnf(c_0_94,plain,
( is_a_theorem(X1)
| ~ is_a_theorem(implies(implies(implies(implies(X2,X2),X3),implies(X4,X3)),X1)) ),
inference(spm,[status(thm)],[c_0_3,c_0_91]) ).
cnf(c_0_95,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(implies(implies(X1,X2),X3),implies(implies(X2,X4),X2))) ),
inference(spm,[status(thm)],[c_0_3,c_0_92]) ).
cnf(c_0_96,plain,
is_a_theorem(implies(implies(implies(implies(implies(X1,X2),X3),implies(X4,X3)),X1),X1)),
inference(spm,[status(thm)],[c_0_78,c_0_93]) ).
cnf(c_0_97,plain,
is_a_theorem(implies(implies(implies(implies(X1,X2),X3),implies(implies(X4,X4),X2)),implies(X1,X2))),
inference(spm,[status(thm)],[c_0_94,c_0_82]) ).
cnf(c_0_98,plain,
is_a_theorem(implies(implies(implies(implies(implies(implies(X1,X2),X3),implies(X1,X2)),X4),X2),implies(X1,X2))),
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
cnf(c_0_99,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(implies(implies(X1,X2),X3),implies(implies(X4,X4),X2))) ),
inference(spm,[status(thm)],[c_0_3,c_0_97]) ).
cnf(c_0_100,plain,
is_a_theorem(implies(implies(implies(implies(implies(X1,X2),X1),X3),implies(implies(X1,X2),X1)),X1)),
inference(spm,[status(thm)],[c_0_95,c_0_98]) ).
cnf(c_0_101,plain,
is_a_theorem(implies(implies(implies(implies(implies(X1,X1),X2),X3),implies(implies(X1,X1),X2)),X2)),
inference(spm,[status(thm)],[c_0_99,c_0_98]) ).
cnf(c_0_102,plain,
( is_a_theorem(implies(implies(implies(X1,X2),X1),X3))
| ~ is_a_theorem(implies(X1,implies(implies(implies(X1,X2),X1),X3))) ),
inference(spm,[status(thm)],[c_0_84,c_0_100]) ).
cnf(c_0_103,plain,
( is_a_theorem(implies(implies(implies(X1,X1),X2),X3))
| ~ is_a_theorem(implies(X2,implies(implies(implies(X1,X1),X2),X3))) ),
inference(spm,[status(thm)],[c_0_84,c_0_101]) ).
cnf(c_0_104,plain,
( is_a_theorem(implies(implies(implies(implies(X1,X2),X3),implies(X1,X2)),X2))
| ~ is_a_theorem(X1) ),
inference(spm,[status(thm)],[c_0_102,c_0_31]) ).
cnf(c_0_105,plain,
( is_a_theorem(implies(X1,implies(X2,X3)))
| ~ is_a_theorem(implies(implies(X4,X2),X3)) ),
inference(spm,[status(thm)],[c_0_50,c_0_86]) ).
cnf(c_0_106,plain,
is_a_theorem(implies(implies(implies(X1,X1),implies(X2,implies(X2,X3))),implies(X2,X3))),
inference(spm,[status(thm)],[c_0_103,c_0_72]) ).
cnf(c_0_107,plain,
( is_a_theorem(implies(implies(X1,X2),X3))
| ~ is_a_theorem(implies(X2,implies(implies(X1,X2),X3)))
| ~ is_a_theorem(X1) ),
inference(spm,[status(thm)],[c_0_84,c_0_104]) ).
cnf(c_0_108,plain,
is_a_theorem(implies(X1,implies(X2,implies(implies(X2,X3),implies(X4,X3))))),
inference(spm,[status(thm)],[c_0_105,c_0_4]) ).
cnf(c_0_109,plain,
is_a_theorem(implies(implies(implies(implies(implies(X1,X2),X3),X1),X3),implies(X4,X3))),
inference(spm,[status(thm)],[c_0_5,c_0_82]) ).
cnf(c_0_110,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(implies(X3,X3),implies(X1,implies(X1,X2)))) ),
inference(spm,[status(thm)],[c_0_3,c_0_106]) ).
cnf(c_0_111,plain,
( is_a_theorem(implies(implies(X1,implies(X2,X3)),X3))
| ~ is_a_theorem(X1)
| ~ is_a_theorem(X2) ),
inference(spm,[status(thm)],[c_0_107,c_0_31]) ).
cnf(c_0_112,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_84,c_0_108]) ).
cnf(c_0_113,plain,
is_a_theorem(implies(implies(implies(implies(implies(X1,X2),X3),X1),X3),X3)),
inference(spm,[status(thm)],[c_0_78,c_0_109]) ).
cnf(c_0_114,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(X3,implies(X1,implies(X1,X2))))
| ~ is_a_theorem(X3) ),
inference(spm,[status(thm)],[c_0_110,c_0_111]) ).
cnf(c_0_115,plain,
is_a_theorem(implies(implies(implies(implies(implies(X1,X2),implies(X3,X2)),X4),X1),implies(implies(X1,X2),implies(X3,X2)))),
inference(spm,[status(thm)],[c_0_112,c_0_82]) ).
cnf(c_0_116,plain,
is_a_theorem(implies(implies(X1,implies(implies(implies(X2,X3),X1),X2)),implies(X4,implies(implies(implies(X2,X3),X1),X2)))),
inference(spm,[status(thm)],[c_0_5,c_0_113]) ).
cnf(c_0_117,plain,
( is_a_theorem(implies(implies(X1,X2),X2))
| ~ is_a_theorem(implies(implies(X2,X3),X1)) ),
inference(spm,[status(thm)],[c_0_114,c_0_4]) ).
cnf(c_0_118,plain,
( is_a_theorem(implies(implies(X1,implies(implies(X2,X1),X3)),implies(X4,implies(implies(X2,X1),X3))))
| ~ is_a_theorem(X2) ),
inference(spm,[status(thm)],[c_0_5,c_0_104]) ).
cnf(c_0_119,plain,
( is_a_theorem(implies(implies(X1,X2),implies(X3,X2)))
| ~ is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X3,X2)),X4),X1)) ),
inference(spm,[status(thm)],[c_0_3,c_0_115]) ).
cnf(c_0_120,plain,
is_a_theorem(implies(implies(implies(X1,implies(implies(implies(X2,X3),X4),X2)),X4),implies(X5,X4))),
inference(spm,[status(thm)],[c_0_5,c_0_116]) ).
cnf(c_0_121,plain,
( is_a_theorem(implies(implies(implies(X1,implies(implies(X2,X3),X4)),X3),X3))
| ~ is_a_theorem(X2) ),
inference(spm,[status(thm)],[c_0_117,c_0_118]) ).
cnf(c_0_122,plain,
is_a_theorem(implies(implies(implies(X1,X2),X3),implies(implies(implies(X3,X4),X2),X3))),
inference(spm,[status(thm)],[c_0_119,c_0_120]) ).
cnf(c_0_123,plain,
( is_a_theorem(implies(implies(X1,X2),implies(implies(X3,X1),X2)))
| ~ is_a_theorem(X3) ),
inference(spm,[status(thm)],[c_0_119,c_0_121]) ).
cnf(c_0_124,plain,
( is_a_theorem(implies(X1,implies(X2,X3)))
| ~ is_a_theorem(X3) ),
inference(spm,[status(thm)],[c_0_50,c_0_29]) ).
cnf(c_0_125,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(implies(implies(implies(X3,X4),X2),X3),implies(X1,X2))) ),
inference(spm,[status(thm)],[c_0_84,c_0_122]) ).
cnf(c_0_126,plain,
( is_a_theorem(implies(implies(X1,X2),implies(implies(X2,X3),implies(X4,X3))))
| ~ is_a_theorem(X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_123]) ).
cnf(c_0_127,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_124]) ).
cnf(c_0_128,plain,
( is_a_theorem(implies(implies(X1,X2),implies(X3,X2)))
| ~ is_a_theorem(implies(implies(X1,X4),implies(X3,X2))) ),
inference(spm,[status(thm)],[c_0_125,c_0_126]) ).
cnf(c_0_129,plain,
is_a_theorem(implies(implies(X1,implies(implies(implies(X1,X2),X1),X3)),implies(implies(implies(X1,X2),X1),X3))),
inference(spm,[status(thm)],[c_0_117,c_0_100]) ).
cnf(c_0_130,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_127]) ).
cnf(c_0_131,plain,
is_a_theorem(implies(implies(X1,X2),implies(implies(implies(X1,X3),X1),X2))),
inference(spm,[status(thm)],[c_0_128,c_0_129]) ).
cnf(c_0_132,plain,
( is_a_theorem(implies(X1,implies(implies(X2,X3),implies(X4,X3))))
| ~ is_a_theorem(X2) ),
inference(spm,[status(thm)],[c_0_130,c_0_4]) ).
cnf(c_0_133,plain,
( is_a_theorem(implies(implies(implies(X1,X2),X1),X3))
| ~ is_a_theorem(implies(X1,X3)) ),
inference(spm,[status(thm)],[c_0_3,c_0_131]) ).
cnf(c_0_134,plain,
is_a_theorem(implies(X1,implies(implies(X2,implies(X2,X3)),implies(X4,implies(X2,X3))))),
inference(spm,[status(thm)],[c_0_52,c_0_71]) ).
cnf(c_0_135,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_132]) ).
cnf(c_0_136,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_117,c_0_133]) ).
cnf(c_0_137,plain,
( is_a_theorem(X1)
| ~ is_a_theorem(implies(implies(implies(X2,implies(X2,X3)),implies(X4,implies(X2,X3))),X1)) ),
inference(spm,[status(thm)],[c_0_84,c_0_134]) ).
cnf(c_0_138,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_78,c_0_135]) ).
cnf(c_0_139,plain,
( is_a_theorem(implies(implies(X1,X2),implies(X3,X2)))
| ~ is_a_theorem(implies(X3,X1)) ),
inference(spm,[status(thm)],[c_0_128,c_0_136]) ).
cnf(c_0_140,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_137,c_0_136]) ).
cnf(c_0_141,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_138]) ).
cnf(c_0_142,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_3,c_0_139]) ).
cnf(c_0_143,plain,
is_a_theorem(implies(X1,implies(implies(X1,X2),X2))),
inference(spm,[status(thm)],[c_0_140,c_0_90]) ).
cnf(c_0_144,plain,
( is_a_theorem(implies(implies(implies(implies(X1,X2),X3),implies(X4,X2)),implies(X1,X2)))
| ~ is_a_theorem(X4) ),
inference(spm,[status(thm)],[c_0_141,c_0_82]) ).
cnf(c_0_145,plain,
( is_a_theorem(implies(X1,implies(implies(X2,X3),X3)))
| ~ is_a_theorem(implies(X1,X2)) ),
inference(spm,[status(thm)],[c_0_142,c_0_143]) ).
cnf(c_0_146,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(implies(implies(X1,X2),X3),implies(X4,X2)))
| ~ is_a_theorem(X4) ),
inference(spm,[status(thm)],[c_0_3,c_0_144]) ).
cnf(c_0_147,plain,
( is_a_theorem(implies(X1,implies(implies(X2,X3),X3)))
| ~ is_a_theorem(implies(implies(X4,X1),X2)) ),
inference(spm,[status(thm)],[c_0_88,c_0_145]) ).
cnf(c_0_148,plain,
is_a_theorem(implies(implies(implies(X1,X2),X3),implies(implies(X3,X1),X1))),
inference(spm,[status(thm)],[c_0_140,c_0_4]) ).
cnf(c_0_149,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_146,c_0_133]) ).
cnf(c_0_150,plain,
is_a_theorem(implies(X1,implies(implies(implies(implies(X1,X2),X2),X3),X3))),
inference(spm,[status(thm)],[c_0_147,c_0_148]) ).
cnf(c_0_151,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(implies(implies(X1,X3),X3),X2)) ),
inference(spm,[status(thm)],[c_0_149,c_0_150]) ).
cnf(c_0_152,plain,
( is_a_theorem(implies(X1,implies(X2,X3)))
| ~ is_a_theorem(implies(X2,implies(X1,X3))) ),
inference(spm,[status(thm)],[c_0_151,c_0_139]) ).
cnf(c_0_153,plain,
is_a_theorem(implies(implies(X1,X2),implies(implies(implies(X2,X3),X1),implies(X4,X2)))),
inference(spm,[status(thm)],[c_0_152,c_0_4]) ).
cnf(c_0_154,plain,
is_a_theorem(implies(X1,implies(implies(implies(X2,X3),implies(X1,X2)),implies(X4,X2)))),
inference(spm,[status(thm)],[c_0_151,c_0_153]) ).
cnf(c_0_155,plain,
is_a_theorem(implies(implies(implies(X1,X2),implies(X3,X1)),implies(X3,implies(X4,X1)))),
inference(spm,[status(thm)],[c_0_152,c_0_154]) ).
cnf(c_0_156,plain,
( is_a_theorem(implies(X1,implies(implies(X2,X3),X3)))
| ~ is_a_theorem(implies(X1,implies(implies(X3,X4),X2))) ),
inference(spm,[status(thm)],[c_0_142,c_0_148]) ).
cnf(c_0_157,plain,
is_a_theorem(implies(implies(X1,X2),implies(implies(implies(X1,implies(X3,X2)),X4),X4))),
inference(spm,[status(thm)],[c_0_147,c_0_155]) ).
cnf(c_0_158,plain,
is_a_theorem(implies(implies(X1,X2),implies(implies(X2,implies(X1,X3)),implies(X1,X3)))),
inference(spm,[status(thm)],[c_0_156,c_0_131]) ).
cnf(c_0_159,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_149,c_0_157]) ).
cnf(c_0_160,plain,
is_a_theorem(implies(implies(X1,implies(X2,X3)),implies(implies(X2,X1),implies(X2,X3)))),
inference(spm,[status(thm)],[c_0_152,c_0_158]) ).
cnf(c_0_161,plain,
is_a_theorem(implies(implies(X1,X2),implies(implies(X3,X1),implies(X3,X2)))),
inference(spm,[status(thm)],[c_0_159,c_0_160]) ).
cnf(c_0_162,negated_conjecture,
~ is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c)))),
prove_c0_1 ).
cnf(c_0_163,plain,
is_a_theorem(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3)))),
inference(spm,[status(thm)],[c_0_152,c_0_161]) ).
cnf(c_0_164,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_162,c_0_163])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LCL038-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.14/0.34 % Computer : n018.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri Aug 25 05:44:43 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.58 start to proof: theBenchmark
% 96.34/96.45 % Version : CSE_E---1.5
% 96.34/96.45 % Problem : theBenchmark.p
% 96.34/96.45 % Proof found
% 96.34/96.45 % SZS status Theorem for theBenchmark.p
% 96.34/96.45 % SZS output start Proof
% See solution above
% 96.39/96.46 % Total time : 95.766000 s
% 96.39/96.46 % SZS output end Proof
% 96.39/96.46 % Total time : 95.773000 s
%------------------------------------------------------------------------------