TSTP Solution File: LCL071-1 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : LCL071-1 : 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 : n015.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 06:52:04 EDT 2023
% Result : Unsatisfiable 3.04s 3.13s
% Output : CNFRefutation 3.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 55
% Number of leaves : 9
% Syntax : Number of formulae : 118 ( 42 unt; 4 typ; 0 def)
% Number of atoms : 213 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 201 ( 102 ~; 99 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 6 ( 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 : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 307 ( 89 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,
not: $i > $i ).
tff(decl_25,type,
a: $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(cn_19,axiom,
is_a_theorem(implies(implies(implies(X1,X2),X3),implies(X2,X3))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_19) ).
cnf(cn_60,axiom,
is_a_theorem(implies(implies(X1,implies(not(X2),X3)),implies(X1,implies(implies(X4,X3),implies(implies(X2,X4),X3))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_60) ).
cnf(cn_37,axiom,
is_a_theorem(implies(implies(implies(X1,X2),X3),implies(not(X1),X3))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_37) ).
cnf(prove_cn_2,negated_conjecture,
~ is_a_theorem(implies(implies(not(a),a),a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cn_2) ).
cnf(c_0_5,axiom,
( is_a_theorem(X2)
| ~ is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(X1) ),
condensed_detachment ).
cnf(c_0_6,axiom,
is_a_theorem(implies(implies(implies(X1,X2),X3),implies(X2,X3))),
cn_19 ).
cnf(c_0_7,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(implies(X3,X1),X2)) ),
inference(spm,[status(thm)],[c_0_5,c_0_6]) ).
cnf(c_0_8,axiom,
is_a_theorem(implies(implies(X1,implies(not(X2),X3)),implies(X1,implies(implies(X4,X3),implies(implies(X2,X4),X3))))),
cn_60 ).
cnf(c_0_9,plain,
is_a_theorem(implies(implies(not(X1),X2),implies(X3,implies(implies(X4,X2),implies(implies(X1,X4),X2))))),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_10,plain,
( is_a_theorem(implies(X1,implies(implies(X2,X3),implies(implies(X4,X2),X3))))
| ~ is_a_theorem(implies(not(X4),X3)) ),
inference(spm,[status(thm)],[c_0_5,c_0_9]) ).
cnf(c_0_11,axiom,
is_a_theorem(implies(implies(implies(X1,X2),X3),implies(not(X1),X3))),
cn_37 ).
cnf(c_0_12,plain,
( is_a_theorem(implies(implies(X1,X2),implies(implies(X3,X1),X2)))
| ~ is_a_theorem(implies(not(X3),X2))
| ~ is_a_theorem(X4) ),
inference(spm,[status(thm)],[c_0_5,c_0_10]) ).
cnf(c_0_13,plain,
is_a_theorem(implies(X1,implies(X2,X1))),
inference(spm,[status(thm)],[c_0_7,c_0_6]) ).
cnf(c_0_14,plain,
( is_a_theorem(implies(not(X1),X2))
| ~ is_a_theorem(implies(implies(X1,X3),X2)) ),
inference(spm,[status(thm)],[c_0_5,c_0_11]) ).
cnf(c_0_15,plain,
( is_a_theorem(implies(implies(X1,implies(X2,not(X3))),implies(implies(X3,X1),implies(X2,not(X3)))))
| ~ is_a_theorem(X4) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_16,plain,
is_a_theorem(implies(not(X1),implies(X2,implies(X1,X3)))),
inference(spm,[status(thm)],[c_0_14,c_0_13]) ).
cnf(c_0_17,plain,
is_a_theorem(implies(implies(X1,implies(X2,not(X3))),implies(implies(X3,X1),implies(X2,not(X3))))),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_18,plain,
( is_a_theorem(implies(implies(X1,X2),implies(X3,not(X1))))
| ~ is_a_theorem(implies(X2,implies(X3,not(X1)))) ),
inference(spm,[status(thm)],[c_0_5,c_0_17]) ).
cnf(c_0_19,plain,
( is_a_theorem(implies(X1,not(X2)))
| ~ is_a_theorem(implies(X3,implies(X1,not(X2))))
| ~ is_a_theorem(implies(X2,X3)) ),
inference(spm,[status(thm)],[c_0_5,c_0_18]) ).
cnf(c_0_20,plain,
is_a_theorem(implies(not(X1),implies(implies(X2,X1),implies(X3,not(X2))))),
inference(spm,[status(thm)],[c_0_14,c_0_17]) ).
cnf(c_0_21,plain,
( is_a_theorem(implies(X1,not(X2)))
| ~ is_a_theorem(implies(X3,implies(X1,not(X2))))
| ~ is_a_theorem(implies(X2,implies(X2,X3))) ),
inference(spm,[status(thm)],[c_0_19,c_0_18]) ).
cnf(c_0_22,plain,
is_a_theorem(implies(not(implies(X1,X2)),implies(X2,X3))),
inference(spm,[status(thm)],[c_0_14,c_0_6]) ).
cnf(c_0_23,plain,
( is_a_theorem(implies(implies(X1,X2),implies(X3,not(X1))))
| ~ is_a_theorem(not(X2)) ),
inference(spm,[status(thm)],[c_0_5,c_0_20]) ).
cnf(c_0_24,plain,
( is_a_theorem(implies(X1,not(X2)))
| ~ is_a_theorem(implies(X2,implies(X2,not(implies(X3,X1))))) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_25,plain,
( is_a_theorem(implies(X1,not(X2)))
| ~ is_a_theorem(implies(X2,X3))
| ~ is_a_theorem(not(X3)) ),
inference(spm,[status(thm)],[c_0_5,c_0_23]) ).
cnf(c_0_26,plain,
( is_a_theorem(implies(X1,not(implies(implies(X2,X1),X3))))
| ~ is_a_theorem(not(X3)) ),
inference(spm,[status(thm)],[c_0_24,c_0_23]) ).
cnf(c_0_27,plain,
( is_a_theorem(implies(X1,not(not(X2))))
| ~ is_a_theorem(not(implies(implies(X3,X2),implies(X4,not(X3))))) ),
inference(spm,[status(thm)],[c_0_25,c_0_20]) ).
cnf(c_0_28,plain,
( is_a_theorem(not(implies(implies(X1,X2),X3)))
| ~ is_a_theorem(not(X3))
| ~ is_a_theorem(X2) ),
inference(spm,[status(thm)],[c_0_5,c_0_26]) ).
cnf(c_0_29,plain,
( is_a_theorem(implies(X1,not(X2)))
| ~ is_a_theorem(implies(X2,implies(implies(X3,X1),not(X2)))) ),
inference(spm,[status(thm)],[c_0_19,c_0_6]) ).
cnf(c_0_30,plain,
( is_a_theorem(implies(X1,not(not(X2))))
| ~ is_a_theorem(not(implies(X3,not(X4))))
| ~ is_a_theorem(X2) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_31,plain,
is_a_theorem(implies(X1,not(not(implies(X2,implies(X3,X1)))))),
inference(spm,[status(thm)],[c_0_29,c_0_22]) ).
cnf(c_0_32,plain,
( is_a_theorem(implies(X1,not(not(X2))))
| ~ is_a_theorem(not(not(X3)))
| ~ is_a_theorem(X2)
| ~ is_a_theorem(X4) ),
inference(spm,[status(thm)],[c_0_30,c_0_28]) ).
cnf(c_0_33,plain,
( is_a_theorem(not(not(implies(X1,implies(X2,X3)))))
| ~ is_a_theorem(X3) ),
inference(spm,[status(thm)],[c_0_5,c_0_31]) ).
cnf(c_0_34,plain,
is_a_theorem(implies(not(implies(X1,X2)),implies(not(X1),X3))),
inference(spm,[status(thm)],[c_0_14,c_0_11]) ).
cnf(c_0_35,plain,
( is_a_theorem(implies(X1,not(not(X2))))
| ~ is_a_theorem(X2)
| ~ is_a_theorem(X3)
| ~ is_a_theorem(X4) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_36,plain,
( is_a_theorem(implies(not(X1),not(X2)))
| ~ is_a_theorem(implies(X2,implies(implies(X1,X3),not(X2)))) ),
inference(spm,[status(thm)],[c_0_19,c_0_11]) ).
cnf(c_0_37,plain,
( is_a_theorem(implies(not(X1),not(X2)))
| ~ is_a_theorem(implies(X2,not(implies(X1,X3)))) ),
inference(spm,[status(thm)],[c_0_19,c_0_34]) ).
cnf(c_0_38,plain,
( is_a_theorem(implies(X1,not(not(implies(X2,implies(X3,X2))))))
| ~ is_a_theorem(X4)
| ~ is_a_theorem(X5) ),
inference(spm,[status(thm)],[c_0_35,c_0_13]) ).
cnf(c_0_39,plain,
is_a_theorem(implies(not(X1),not(not(implies(X2,implies(X1,X3)))))),
inference(spm,[status(thm)],[c_0_36,c_0_22]) ).
cnf(c_0_40,plain,
( is_a_theorem(implies(not(implies(X1,X2)),not(X2)))
| ~ is_a_theorem(not(X3)) ),
inference(spm,[status(thm)],[c_0_37,c_0_26]) ).
cnf(c_0_41,plain,
( is_a_theorem(implies(X1,not(not(implies(X2,implies(X3,X2))))))
| ~ is_a_theorem(X4) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_42,plain,
( is_a_theorem(implies(not(implies(X1,X2)),not(X2)))
| ~ is_a_theorem(X3) ),
inference(spm,[status(thm)],[c_0_40,c_0_33]) ).
cnf(c_0_43,plain,
is_a_theorem(implies(X1,not(not(implies(X2,implies(X3,X2)))))),
inference(spm,[status(thm)],[c_0_41,c_0_39]) ).
cnf(c_0_44,plain,
is_a_theorem(implies(not(implies(X1,X2)),not(X2))),
inference(spm,[status(thm)],[c_0_42,c_0_39]) ).
cnf(c_0_45,plain,
( is_a_theorem(not(not(implies(X1,implies(X2,X1)))))
| ~ is_a_theorem(X3) ),
inference(spm,[status(thm)],[c_0_5,c_0_43]) ).
cnf(c_0_46,plain,
( is_a_theorem(implies(implies(X1,not(X2)),implies(implies(implies(X3,X2),X1),not(X2))))
| ~ is_a_theorem(X4) ),
inference(spm,[status(thm)],[c_0_12,c_0_44]) ).
cnf(c_0_47,plain,
is_a_theorem(not(not(implies(X1,implies(X2,X1))))),
inference(spm,[status(thm)],[c_0_45,c_0_39]) ).
cnf(c_0_48,plain,
is_a_theorem(implies(implies(X1,not(X2)),implies(implies(implies(X3,X2),X1),not(X2)))),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_49,plain,
is_a_theorem(implies(not(X1),implies(implies(implies(X2,X3),X1),not(X3)))),
inference(spm,[status(thm)],[c_0_14,c_0_48]) ).
cnf(c_0_50,plain,
( is_a_theorem(implies(X1,implies(implies(X2,X3),implies(implies(X4,X2),X3))))
| ~ is_a_theorem(implies(X1,implies(not(X4),X3))) ),
inference(spm,[status(thm)],[c_0_5,c_0_8]) ).
cnf(c_0_51,plain,
( is_a_theorem(implies(implies(implies(X1,X2),X3),not(X2)))
| ~ is_a_theorem(implies(X2,not(X3))) ),
inference(spm,[status(thm)],[c_0_19,c_0_49]) ).
cnf(c_0_52,plain,
( is_a_theorem(implies(implies(implies(X1,X2),X3),not(X2)))
| ~ is_a_theorem(implies(X2,implies(X3,not(X2)))) ),
inference(spm,[status(thm)],[c_0_19,c_0_48]) ).
cnf(c_0_53,plain,
( is_a_theorem(implies(not(X1),implies(implies(X2,X3),implies(implies(X4,X2),X3))))
| ~ is_a_theorem(implies(implies(X1,X5),implies(not(X4),X3))) ),
inference(spm,[status(thm)],[c_0_14,c_0_50]) ).
cnf(c_0_54,plain,
( is_a_theorem(implies(X1,not(X2)))
| ~ is_a_theorem(implies(X2,not(X1))) ),
inference(spm,[status(thm)],[c_0_7,c_0_51]) ).
cnf(c_0_55,plain,
( is_a_theorem(implies(X1,not(X2)))
| ~ is_a_theorem(implies(X2,implies(X1,not(X2)))) ),
inference(spm,[status(thm)],[c_0_7,c_0_52]) ).
cnf(c_0_56,plain,
is_a_theorem(implies(not(implies(X1,not(X2))),implies(implies(X3,X4),implies(implies(X2,X3),X4)))),
inference(spm,[status(thm)],[c_0_53,c_0_6]) ).
cnf(c_0_57,plain,
( is_a_theorem(not(X1))
| ~ is_a_theorem(implies(X1,not(X2)))
| ~ is_a_theorem(X2) ),
inference(spm,[status(thm)],[c_0_5,c_0_54]) ).
cnf(c_0_58,plain,
is_a_theorem(implies(implies(implies(X1,not(X2)),X2),not(not(X2)))),
inference(spm,[status(thm)],[c_0_55,c_0_49]) ).
cnf(c_0_59,plain,
( is_a_theorem(implies(implies(X1,X2),implies(implies(X3,X1),X2)))
| ~ is_a_theorem(not(implies(X4,not(X3)))) ),
inference(spm,[status(thm)],[c_0_5,c_0_56]) ).
cnf(c_0_60,plain,
( is_a_theorem(not(implies(implies(X1,not(X2)),X2)))
| ~ is_a_theorem(not(X2)) ),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_61,plain,
( is_a_theorem(implies(implies(X1,X2),implies(implies(X3,X1),X2)))
| ~ is_a_theorem(not(not(X3))) ),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_62,plain,
( is_a_theorem(implies(implies(X1,X2),X3))
| ~ is_a_theorem(not(not(X1)))
| ~ is_a_theorem(implies(X2,X3)) ),
inference(spm,[status(thm)],[c_0_5,c_0_61]) ).
cnf(c_0_63,plain,
is_a_theorem(implies(X1,not(not(X1)))),
inference(spm,[status(thm)],[c_0_29,c_0_49]) ).
cnf(c_0_64,plain,
( is_a_theorem(X1)
| ~ is_a_theorem(not(not(X2)))
| ~ is_a_theorem(implies(X2,X3))
| ~ is_a_theorem(implies(X3,X1)) ),
inference(spm,[status(thm)],[c_0_5,c_0_62]) ).
cnf(c_0_65,plain,
( is_a_theorem(not(not(X1)))
| ~ is_a_theorem(X1) ),
inference(spm,[status(thm)],[c_0_5,c_0_63]) ).
cnf(c_0_66,plain,
( is_a_theorem(X1)
| ~ is_a_theorem(implies(X2,X3))
| ~ is_a_theorem(implies(X3,X1))
| ~ is_a_theorem(X2) ),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_67,plain,
( is_a_theorem(X1)
| ~ is_a_theorem(implies(not(not(X2)),X1))
| ~ is_a_theorem(X2) ),
inference(spm,[status(thm)],[c_0_66,c_0_63]) ).
cnf(c_0_68,plain,
is_a_theorem(implies(not(X1),not(implies(implies(X2,not(X1)),X1)))),
inference(spm,[status(thm)],[c_0_54,c_0_58]) ).
cnf(c_0_69,plain,
( is_a_theorem(not(implies(implies(X1,not(not(X2))),not(X2))))
| ~ is_a_theorem(X2) ),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_70,plain,
( is_a_theorem(implies(implies(X1,X2),implies(implies(X3,X1),X2)))
| ~ is_a_theorem(X3) ),
inference(spm,[status(thm)],[c_0_59,c_0_69]) ).
cnf(c_0_71,plain,
( is_a_theorem(not(not(X1)))
| ~ is_a_theorem(implies(implies(X2,not(X1)),X1)) ),
inference(spm,[status(thm)],[c_0_5,c_0_58]) ).
cnf(c_0_72,plain,
( is_a_theorem(implies(implies(X1,X2),X3))
| ~ is_a_theorem(implies(X2,X3))
| ~ is_a_theorem(X1) ),
inference(spm,[status(thm)],[c_0_5,c_0_70]) ).
cnf(c_0_73,plain,
( is_a_theorem(not(not(X1)))
| ~ is_a_theorem(implies(not(X1),X1))
| ~ is_a_theorem(X2) ),
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_74,plain,
( is_a_theorem(not(not(implies(X1,X1))))
| ~ is_a_theorem(X2) ),
inference(spm,[status(thm)],[c_0_73,c_0_22]) ).
cnf(c_0_75,plain,
is_a_theorem(not(not(implies(X1,X1)))),
inference(spm,[status(thm)],[c_0_74,c_0_47]) ).
cnf(c_0_76,plain,
( is_a_theorem(X1)
| ~ is_a_theorem(implies(implies(X2,X2),X3))
| ~ is_a_theorem(implies(X3,X1)) ),
inference(spm,[status(thm)],[c_0_64,c_0_75]) ).
cnf(c_0_77,plain,
( is_a_theorem(X1)
| ~ is_a_theorem(implies(not(not(implies(X2,X2))),X1)) ),
inference(spm,[status(thm)],[c_0_76,c_0_63]) ).
cnf(c_0_78,plain,
( is_a_theorem(implies(not(X1),not(X2)))
| ~ is_a_theorem(implies(X2,implies(X2,not(implies(X1,X3))))) ),
inference(spm,[status(thm)],[c_0_21,c_0_34]) ).
cnf(c_0_79,plain,
is_a_theorem(implies(implies(X1,not(implies(X2,X2))),implies(X3,not(X1)))),
inference(spm,[status(thm)],[c_0_77,c_0_20]) ).
cnf(c_0_80,plain,
is_a_theorem(implies(not(X1),not(implies(implies(X1,X2),not(implies(X3,X3)))))),
inference(spm,[status(thm)],[c_0_78,c_0_79]) ).
cnf(c_0_81,plain,
is_a_theorem(not(implies(implies(not(implies(X1,X1)),X2),not(implies(X3,X3))))),
inference(spm,[status(thm)],[c_0_77,c_0_80]) ).
cnf(c_0_82,plain,
is_a_theorem(implies(implies(X1,X2),implies(implies(implies(X3,X3),X1),X2))),
inference(spm,[status(thm)],[c_0_59,c_0_81]) ).
cnf(c_0_83,plain,
( is_a_theorem(X1)
| ~ is_a_theorem(implies(implies(X2,implies(X3,X3)),X1)) ),
inference(spm,[status(thm)],[c_0_76,c_0_13]) ).
cnf(c_0_84,plain,
( is_a_theorem(implies(implies(implies(X1,X1),X2),X3))
| ~ is_a_theorem(implies(X2,X3)) ),
inference(spm,[status(thm)],[c_0_5,c_0_82]) ).
cnf(c_0_85,plain,
( is_a_theorem(implies(implies(X1,X2),implies(implies(X3,X1),X2)))
| ~ is_a_theorem(implies(X4,implies(not(X3),X2)))
| ~ is_a_theorem(X4) ),
inference(spm,[status(thm)],[c_0_5,c_0_50]) ).
cnf(c_0_86,plain,
( is_a_theorem(X1)
| ~ is_a_theorem(implies(implies(X2,X2),X1)) ),
inference(spm,[status(thm)],[c_0_83,c_0_84]) ).
cnf(c_0_87,plain,
( is_a_theorem(implies(implies(implies(X1,X2),X3),not(X2)))
| ~ is_a_theorem(not(X3)) ),
inference(spm,[status(thm)],[c_0_5,c_0_49]) ).
cnf(c_0_88,plain,
is_a_theorem(implies(not(X1),implies(implies(implies(X2,X2),X1),X3))),
inference(spm,[status(thm)],[c_0_14,c_0_82]) ).
cnf(c_0_89,plain,
( is_a_theorem(implies(implies(X1,X2),implies(implies(X3,X1),X2)))
| ~ is_a_theorem(implies(implies(X4,not(X3)),X2)) ),
inference(spm,[status(thm)],[c_0_85,c_0_6]) ).
cnf(c_0_90,plain,
is_a_theorem(implies(implies(implies(X1,X1),X2),X2)),
inference(spm,[status(thm)],[c_0_86,c_0_82]) ).
cnf(c_0_91,plain,
( is_a_theorem(not(X1))
| ~ is_a_theorem(implies(implies(X2,X1),X3))
| ~ is_a_theorem(not(X3)) ),
inference(spm,[status(thm)],[c_0_5,c_0_87]) ).
cnf(c_0_92,plain,
is_a_theorem(implies(implies(implies(X1,X1),X2),not(not(X2)))),
inference(spm,[status(thm)],[c_0_55,c_0_88]) ).
cnf(c_0_93,plain,
is_a_theorem(implies(implies(X1,not(X2)),implies(implies(X2,X1),not(X2)))),
inference(spm,[status(thm)],[c_0_89,c_0_90]) ).
cnf(c_0_94,plain,
( is_a_theorem(not(X1))
| ~ is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(not(X2)) ),
inference(spm,[status(thm)],[c_0_91,c_0_84]) ).
cnf(c_0_95,plain,
is_a_theorem(implies(not(X1),not(implies(implies(X2,X2),X1)))),
inference(spm,[status(thm)],[c_0_54,c_0_92]) ).
cnf(c_0_96,plain,
( is_a_theorem(implies(implies(X1,X2),not(X1)))
| ~ is_a_theorem(implies(X2,not(X1))) ),
inference(spm,[status(thm)],[c_0_5,c_0_93]) ).
cnf(c_0_97,plain,
( is_a_theorem(implies(implies(X1,X2),X2))
| ~ is_a_theorem(not(not(X1))) ),
inference(spm,[status(thm)],[c_0_86,c_0_61]) ).
cnf(c_0_98,plain,
( is_a_theorem(not(not(X1)))
| ~ is_a_theorem(not(not(implies(implies(X2,X2),X1)))) ),
inference(spm,[status(thm)],[c_0_94,c_0_95]) ).
cnf(c_0_99,plain,
( is_a_theorem(not(not(implies(implies(X1,X2),implies(implies(X3,X1),X2)))))
| ~ is_a_theorem(implies(not(X3),X2)) ),
inference(spm,[status(thm)],[c_0_71,c_0_10]) ).
cnf(c_0_100,plain,
( is_a_theorem(not(X1))
| ~ is_a_theorem(implies(X2,not(X1)))
| ~ is_a_theorem(implies(X1,X2)) ),
inference(spm,[status(thm)],[c_0_5,c_0_96]) ).
cnf(c_0_101,plain,
is_a_theorem(implies(X1,not(not(implies(X2,X1))))),
inference(spm,[status(thm)],[c_0_24,c_0_13]) ).
cnf(c_0_102,plain,
( is_a_theorem(X1)
| ~ is_a_theorem(not(not(X1))) ),
inference(spm,[status(thm)],[c_0_86,c_0_97]) ).
cnf(c_0_103,plain,
( is_a_theorem(not(not(implies(implies(X1,X2),X2))))
| ~ is_a_theorem(implies(not(X1),X2)) ),
inference(spm,[status(thm)],[c_0_98,c_0_99]) ).
cnf(c_0_104,plain,
( is_a_theorem(not(not(implies(X1,X2))))
| ~ is_a_theorem(implies(not(implies(X1,X2)),X2)) ),
inference(spm,[status(thm)],[c_0_100,c_0_101]) ).
cnf(c_0_105,plain,
( is_a_theorem(X1)
| ~ is_a_theorem(implies(implies(X2,implies(X3,X2)),X1)) ),
inference(spm,[status(thm)],[c_0_76,c_0_6]) ).
cnf(c_0_106,plain,
( is_a_theorem(implies(implies(X1,X2),X2))
| ~ is_a_theorem(implies(not(X1),X2)) ),
inference(spm,[status(thm)],[c_0_102,c_0_103]) ).
cnf(c_0_107,plain,
is_a_theorem(not(not(implies(X1,implies(not(X1),X2))))),
inference(spm,[status(thm)],[c_0_104,c_0_34]) ).
cnf(c_0_108,negated_conjecture,
~ is_a_theorem(implies(implies(not(a),a),a)),
prove_cn_2 ).
cnf(c_0_109,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(not(X2),implies(X1,X2))) ),
inference(spm,[status(thm)],[c_0_105,c_0_106]) ).
cnf(c_0_110,plain,
is_a_theorem(implies(X1,implies(not(X1),X2))),
inference(spm,[status(thm)],[c_0_102,c_0_107]) ).
cnf(c_0_111,negated_conjecture,
~ is_a_theorem(implies(not(not(a)),a)),
inference(spm,[status(thm)],[c_0_108,c_0_106]) ).
cnf(c_0_112,plain,
is_a_theorem(implies(not(not(X1)),X1)),
inference(spm,[status(thm)],[c_0_109,c_0_110]) ).
cnf(c_0_113,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_111,c_0_112])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14 % Problem : LCL071-1 : TPTP v8.1.2. Released v1.0.0.
% 0.13/0.15 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.36 % Computer : n015.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Thu Aug 24 17:56:51 EDT 2023
% 0.13/0.37 % CPUTime :
% 0.21/0.53 start to proof: theBenchmark
% 3.04/3.13 % Version : CSE_E---1.5
% 3.04/3.13 % Problem : theBenchmark.p
% 3.04/3.13 % Proof found
% 3.04/3.13 % SZS status Theorem for theBenchmark.p
% 3.04/3.13 % SZS output start Proof
% See solution above
% 3.04/3.14 % Total time : 2.596000 s
% 3.04/3.14 % SZS output end Proof
% 3.04/3.14 % Total time : 2.598000 s
%------------------------------------------------------------------------------