%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SYO505^1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:44:42 AM UTC 2026
% Result : ContradictoryAxioms 0.21s 0.35s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 53
% Number of leaves : 20
% Syntax : Number of formulae : 393 ( 80 unt; 0 typ; 0 def)
% Number of atoms : 1696 ( 90 equ; 0 cnn)
% Maximal formula atoms : 8 ( 4 avg)
% Number of connectives : 2068 ( 805 ~; 783 |; 0 &; 470 @)
% ( 0 <=>; 0 =>; 0 <=; 10 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 38 ( 35 usr; 12 con; 0-2 aty)
% Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_23,type,
a: $o > $o ).
thf(decl_24,type,
b: $o > $o ).
thf(decl_25,type,
c: $o > $o ).
thf(decl_26,type,
d: $o > $o ).
thf(decl_27,type,
e: $o > $o ).
thf(decl_28,type,
f0: ( $o > $o ) > $i ).
thf(decl_29,type,
g0: ( $o > $o ) > $i ).
thf(decl_30,type,
f1: ( $o > $o ) > $i ).
thf(decl_31,type,
g1: ( $o > $o ) > $i ).
thf(decl_32,type,
f2: ( $o > $o ) > $i ).
thf(decl_33,type,
g2: ( $o > $o ) > $i ).
thf(decl_34,type,
f3: ( $o > $o ) > $i ).
thf(decl_35,type,
g3: ( $o > $o ) > $i ).
thf(decl_36,type,
f4: ( $o > $o ) > $i ).
thf(decl_37,type,
g4: ( $o > $o ) > $i ).
thf(decl_38,type,
f5: ( $o > $o ) > $i ).
thf(decl_39,type,
g5: ( $o > $o ) > $i ).
thf(decl_40,type,
f6: ( $o > $o ) > $i ).
thf(decl_41,type,
g6: ( $o > $o ) > $i ).
thf(decl_42,type,
f7: ( $o > $o ) > $i ).
thf(decl_43,type,
g7: ( $o > $o ) > $i ).
thf(decl_44,type,
f8: ( $o > $o ) > $i ).
thf(decl_45,type,
g8: ( $o > $o ) > $i ).
thf(decl_46,type,
f9: ( $o > $o ) > $i ).
thf(decl_47,type,
g9: ( $o > $o ) > $i ).
thf(decl_49,type,
esk2_0: $o ).
thf(decl_51,type,
esk4_0: $o ).
thf(decl_53,type,
esk6_0: $o ).
thf(decl_55,type,
esk8_0: $o ).
thf(decl_57,type,
esk10_0: $o ).
thf(decl_59,type,
esk12_0: $o ).
thf(decl_61,type,
esk14_0: $o ).
thf(decl_63,type,
esk16_0: $o ).
thf(decl_65,type,
esk18_0: $o ).
thf(decl_67,type,
esk20_0: $o ).
thf(bnotd2,axiom,
( ( f5 @ d )
!= ( g5 @ b ) ),
file('/export/starexec/sandbox/tmp/tmp.0krZepsLmG/E---3.1_1038005.p',bnotd2) ).
thf(anotb2,axiom,
( ( f0 @ b )
!= ( g0 @ a ) ),
file('/export/starexec/sandbox/tmp/tmp.0krZepsLmG/E---3.1_1038005.p',anotb2) ).
thf(bnotc2,axiom,
( ( f4 @ c )
!= ( g4 @ b ) ),
file('/export/starexec/sandbox/tmp/tmp.0krZepsLmG/E---3.1_1038005.p',bnotc2) ).
thf(bnote2,axiom,
( ( f6 @ e )
!= ( g6 @ b ) ),
file('/export/starexec/sandbox/tmp/tmp.0krZepsLmG/E---3.1_1038005.p',bnote2) ).
thf(cnote2,axiom,
( ( f8 @ e )
!= ( g8 @ c ) ),
file('/export/starexec/sandbox/tmp/tmp.0krZepsLmG/E---3.1_1038005.p',cnote2) ).
thf(anote2,axiom,
( ( f3 @ e )
!= ( g3 @ a ) ),
file('/export/starexec/sandbox/tmp/tmp.0krZepsLmG/E---3.1_1038005.p',anote2) ).
thf(anotd2,axiom,
( ( f2 @ d )
!= ( g2 @ a ) ),
file('/export/starexec/sandbox/tmp/tmp.0krZepsLmG/E---3.1_1038005.p',anotd2) ).
thf(anotc2,axiom,
( ( f1 @ c )
!= ( g1 @ a ) ),
file('/export/starexec/sandbox/tmp/tmp.0krZepsLmG/E---3.1_1038005.p',anotc2) ).
thf(cnotd2,axiom,
( ( f7 @ d )
!= ( g7 @ c ) ),
file('/export/starexec/sandbox/tmp/tmp.0krZepsLmG/E---3.1_1038005.p',cnotd2) ).
thf(dnote2,axiom,
( ( f9 @ e )
!= ( g9 @ d ) ),
file('/export/starexec/sandbox/tmp/tmp.0krZepsLmG/E---3.1_1038005.p',dnote2) ).
thf(bnotd1,axiom,
( ( f5 @ b )
= ( g5 @ d ) ),
file('/export/starexec/sandbox/tmp/tmp.0krZepsLmG/E---3.1_1038005.p',bnotd1) ).
thf(anotb1,axiom,
( ( f0 @ a )
= ( g0 @ b ) ),
file('/export/starexec/sandbox/tmp/tmp.0krZepsLmG/E---3.1_1038005.p',anotb1) ).
thf(bnotc1,axiom,
( ( f4 @ b )
= ( g4 @ c ) ),
file('/export/starexec/sandbox/tmp/tmp.0krZepsLmG/E---3.1_1038005.p',bnotc1) ).
thf(bnote1,axiom,
( ( f6 @ b )
= ( g6 @ e ) ),
file('/export/starexec/sandbox/tmp/tmp.0krZepsLmG/E---3.1_1038005.p',bnote1) ).
thf(cnote1,axiom,
( ( f8 @ c )
= ( g8 @ e ) ),
file('/export/starexec/sandbox/tmp/tmp.0krZepsLmG/E---3.1_1038005.p',cnote1) ).
thf(anote1,axiom,
( ( f3 @ a )
= ( g3 @ e ) ),
file('/export/starexec/sandbox/tmp/tmp.0krZepsLmG/E---3.1_1038005.p',anote1) ).
thf(anotd1,axiom,
( ( f2 @ a )
= ( g2 @ d ) ),
file('/export/starexec/sandbox/tmp/tmp.0krZepsLmG/E---3.1_1038005.p',anotd1) ).
thf(anotc1,axiom,
( ( f1 @ a )
= ( g1 @ c ) ),
file('/export/starexec/sandbox/tmp/tmp.0krZepsLmG/E---3.1_1038005.p',anotc1) ).
thf(cnotd1,axiom,
( ( f7 @ c )
= ( g7 @ d ) ),
file('/export/starexec/sandbox/tmp/tmp.0krZepsLmG/E---3.1_1038005.p',cnotd1) ).
thf(dnote1,axiom,
( ( f9 @ d )
= ( g9 @ e ) ),
file('/export/starexec/sandbox/tmp/tmp.0krZepsLmG/E---3.1_1038005.p',dnote1) ).
thf(c_0_20,plain,
( ( f5 @ d )
!= ( g5 @ b ) ),
inference(fof_simplification,[status(thm)],[bnotd2]) ).
thf(c_0_21,plain,
( ( f0 @ b )
!= ( g0 @ a ) ),
inference(fof_simplification,[status(thm)],[anotb2]) ).
thf(c_0_22,plain,
( ( f4 @ c )
!= ( g4 @ b ) ),
inference(fof_simplification,[status(thm)],[bnotc2]) ).
thf(c_0_23,plain,
( ( f6 @ e )
!= ( g6 @ b ) ),
inference(fof_simplification,[status(thm)],[bnote2]) ).
thf(c_0_24,plain,
( ( f8 @ e )
!= ( g8 @ c ) ),
inference(fof_simplification,[status(thm)],[cnote2]) ).
thf(c_0_25,plain,
( ( f3 @ e )
!= ( g3 @ a ) ),
inference(fof_simplification,[status(thm)],[anote2]) ).
thf(c_0_26,plain,
( ( f5 @ d )
!= ( g5 @ b ) ),
inference(fof_nnf,[status(thm)],[c_0_20]) ).
thf(c_0_27,plain,
( ( f0 @ b )
!= ( g0 @ a ) ),
inference(fof_nnf,[status(thm)],[c_0_21]) ).
thf(c_0_28,plain,
( ( f2 @ d )
!= ( g2 @ a ) ),
inference(fof_simplification,[status(thm)],[anotd2]) ).
thf(c_0_29,plain,
( ( f4 @ c )
!= ( g4 @ b ) ),
inference(fof_nnf,[status(thm)],[c_0_22]) ).
thf(c_0_30,plain,
( ( f1 @ c )
!= ( g1 @ a ) ),
inference(fof_simplification,[status(thm)],[anotc2]) ).
thf(c_0_31,plain,
( ( f7 @ d )
!= ( g7 @ c ) ),
inference(fof_simplification,[status(thm)],[cnotd2]) ).
thf(c_0_32,plain,
( ( f6 @ e )
!= ( g6 @ b ) ),
inference(fof_nnf,[status(thm)],[c_0_23]) ).
thf(c_0_33,plain,
( ( f9 @ e )
!= ( g9 @ d ) ),
inference(fof_simplification,[status(thm)],[dnote2]) ).
thf(c_0_34,plain,
( ( f8 @ e )
!= ( g8 @ c ) ),
inference(fof_nnf,[status(thm)],[c_0_24]) ).
thf(c_0_35,plain,
( ( f3 @ e )
!= ( g3 @ a ) ),
inference(fof_nnf,[status(thm)],[c_0_25]) ).
thf(c_0_36,plain,
( ( f5 @ d )
!= ( g5 @ b ) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
thf(c_0_37,plain,
( ( f5 @ b )
= ( g5 @ d ) ),
inference(split_conjunct,[status(thm)],[bnotd1]) ).
thf(c_0_38,plain,
( ( f0 @ b )
!= ( g0 @ a ) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
thf(c_0_39,plain,
( ( f0 @ a )
= ( g0 @ b ) ),
inference(split_conjunct,[status(thm)],[anotb1]) ).
thf(c_0_40,plain,
( ( f2 @ d )
!= ( g2 @ a ) ),
inference(fof_nnf,[status(thm)],[c_0_28]) ).
thf(c_0_41,plain,
( ( f4 @ c )
!= ( g4 @ b ) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
thf(c_0_42,plain,
( ( f4 @ b )
= ( g4 @ c ) ),
inference(split_conjunct,[status(thm)],[bnotc1]) ).
thf(c_0_43,plain,
( ( f1 @ c )
!= ( g1 @ a ) ),
inference(fof_nnf,[status(thm)],[c_0_30]) ).
thf(c_0_44,plain,
( ( f7 @ d )
!= ( g7 @ c ) ),
inference(fof_nnf,[status(thm)],[c_0_31]) ).
thf(c_0_45,plain,
( ( f6 @ e )
!= ( g6 @ b ) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
thf(c_0_46,plain,
( ( f6 @ b )
= ( g6 @ e ) ),
inference(split_conjunct,[status(thm)],[bnote1]) ).
thf(c_0_47,plain,
( ( f9 @ e )
!= ( g9 @ d ) ),
inference(fof_nnf,[status(thm)],[c_0_33]) ).
thf(c_0_48,plain,
( ( f8 @ e )
!= ( g8 @ c ) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
thf(c_0_49,plain,
( ( f8 @ c )
= ( g8 @ e ) ),
inference(split_conjunct,[status(thm)],[cnote1]) ).
thf(c_0_50,plain,
( ( f3 @ e )
!= ( g3 @ a ) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
thf(c_0_51,plain,
( ( f3 @ a )
= ( g3 @ e ) ),
inference(split_conjunct,[status(thm)],[anote1]) ).
thf(c_0_52,plain,
( ( ( f5 @ d )
!= ( g5 @ d ) )
| ( b != d ) ),
inference(rw,[status(thm)],[inference(ext_sup,[status(thm)],[c_0_36,c_0_37]),c_0_37]) ).
thf(c_0_53,plain,
( ( ( f0 @ b )
!= ( g0 @ b ) )
| ( b != a ) ),
inference(rw,[status(thm)],[inference(ext_sup,[status(thm)],[c_0_38,c_0_39]),c_0_39]) ).
thf(c_0_54,plain,
( ( f2 @ d )
!= ( g2 @ a ) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
thf(c_0_55,plain,
( ( f2 @ a )
= ( g2 @ d ) ),
inference(split_conjunct,[status(thm)],[anotd1]) ).
thf(c_0_56,plain,
( ( ( f4 @ c )
!= ( g4 @ c ) )
| ( b != c ) ),
inference(rw,[status(thm)],[inference(ext_sup,[status(thm)],[c_0_41,c_0_42]),c_0_42]) ).
thf(c_0_57,plain,
( ( f1 @ c )
!= ( g1 @ a ) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
thf(c_0_58,plain,
( ( f1 @ a )
= ( g1 @ c ) ),
inference(split_conjunct,[status(thm)],[anotc1]) ).
thf(c_0_59,plain,
( ( f7 @ d )
!= ( g7 @ c ) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
thf(c_0_60,plain,
( ( f7 @ c )
= ( g7 @ d ) ),
inference(split_conjunct,[status(thm)],[cnotd1]) ).
thf(c_0_61,plain,
( ( ( f6 @ e )
!= ( g6 @ e ) )
| ( b != e ) ),
inference(rw,[status(thm)],[inference(ext_sup,[status(thm)],[c_0_45,c_0_46]),c_0_46]) ).
thf(c_0_62,plain,
( ( f9 @ e )
!= ( g9 @ d ) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
thf(c_0_63,plain,
( ( f9 @ d )
= ( g9 @ e ) ),
inference(split_conjunct,[status(thm)],[dnote1]) ).
thf(c_0_64,plain,
( ( ( f8 @ e )
!= ( g8 @ e ) )
| ( e != c ) ),
inference(rw,[status(thm)],[inference(ext_sup,[status(thm)],[c_0_48,c_0_49]),c_0_49]) ).
thf(c_0_65,plain,
( ( ( f3 @ e )
!= ( g3 @ e ) )
| ( e != a ) ),
inference(rw,[status(thm)],[inference(ext_sup,[status(thm)],[c_0_50,c_0_51]),c_0_51]) ).
thf(c_0_66,plain,
b != d,
inference(ext_sup,[status(thm)],[c_0_52,c_0_37]) ).
thf(c_0_67,plain,
b != a,
inference(ext_sup,[status(thm)],[c_0_53,c_0_39]) ).
thf(c_0_68,plain,
( ( ( f2 @ d )
!= ( g2 @ d ) )
| ( d != a ) ),
inference(rw,[status(thm)],[inference(ext_sup,[status(thm)],[c_0_54,c_0_55]),c_0_55]) ).
thf(c_0_69,plain,
b != c,
inference(ext_sup,[status(thm)],[c_0_56,c_0_42]) ).
thf(c_0_70,plain,
( ( ( f1 @ c )
!= ( g1 @ c ) )
| ( c != a ) ),
inference(rw,[status(thm)],[inference(ext_sup,[status(thm)],[c_0_57,c_0_58]),c_0_58]) ).
thf(c_0_71,plain,
( ( ( f7 @ d )
!= ( g7 @ d ) )
| ( d != c ) ),
inference(rw,[status(thm)],[inference(ext_sup,[status(thm)],[c_0_59,c_0_60]),c_0_60]) ).
thf(c_0_72,plain,
b != e,
inference(ext_sup,[status(thm)],[c_0_61,c_0_46]) ).
thf(c_0_73,plain,
( ( ( f9 @ e )
!= ( g9 @ e ) )
| ( e != d ) ),
inference(rw,[status(thm)],[inference(ext_sup,[status(thm)],[c_0_62,c_0_63]),c_0_63]) ).
thf(c_0_74,plain,
e != c,
inference(ext_sup,[status(thm)],[c_0_64,c_0_49]) ).
thf(c_0_75,plain,
e != a,
inference(ext_sup,[status(thm)],[c_0_65,c_0_51]) ).
thf(c_0_76,plain,
( ( b @ esk12_0 )
<~> ( d @ esk12_0 ) ),
inference(neg_ext,[status(thm)],[c_0_66]) ).
thf(c_0_77,plain,
( ( b @ esk2_0 )
<~> ( a @ esk2_0 ) ),
inference(neg_ext,[status(thm)],[c_0_67]) ).
thf(c_0_78,plain,
d != a,
inference(ext_sup,[status(thm)],[c_0_68,c_0_55]) ).
thf(c_0_79,plain,
( ( b @ esk10_0 )
<~> ( c @ esk10_0 ) ),
inference(neg_ext,[status(thm)],[c_0_69]) ).
thf(c_0_80,plain,
c != a,
inference(ext_sup,[status(thm)],[c_0_70,c_0_58]) ).
thf(c_0_81,plain,
d != c,
inference(ext_sup,[status(thm)],[c_0_71,c_0_60]) ).
thf(c_0_82,plain,
( ( b @ esk14_0 )
<~> ( e @ esk14_0 ) ),
inference(neg_ext,[status(thm)],[c_0_72]) ).
thf(c_0_83,plain,
e != d,
inference(ext_sup,[status(thm)],[c_0_73,c_0_63]) ).
thf(c_0_84,plain,
( ( e @ esk18_0 )
<~> ( c @ esk18_0 ) ),
inference(neg_ext,[status(thm)],[c_0_74]) ).
thf(c_0_85,plain,
( ( e @ esk8_0 )
<~> ( a @ esk8_0 ) ),
inference(neg_ext,[status(thm)],[c_0_75]) ).
thf(c_0_86,plain,
( ~ ( d @ $true )
| ~ ( b @ $true )
| ~ esk12_0 ),
inference(cn,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_76])]) ).
thf(c_0_87,plain,
( ( b @ $true )
| ( a @ $true )
| ~ esk2_0 ),
inference(cn,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_77])]) ).
thf(c_0_88,plain,
( ( d @ esk6_0 )
<~> ( a @ esk6_0 ) ),
inference(neg_ext,[status(thm)],[c_0_78]) ).
thf(c_0_89,plain,
( esk10_0
| ~ ( c @ ~ $true )
| ~ ( b @ ~ $true ) ),
inference(cn,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_79])]) ).
thf(c_0_90,plain,
( ( b @ ~ $true )
| ( a @ ~ $true )
| esk2_0 ),
inference(cn,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_77])]) ).
thf(c_0_91,plain,
( ( c @ esk4_0 )
<~> ( a @ esk4_0 ) ),
inference(neg_ext,[status(thm)],[c_0_80]) ).
thf(c_0_92,plain,
( ( d @ esk16_0 )
<~> ( c @ esk16_0 ) ),
inference(neg_ext,[status(thm)],[c_0_81]) ).
thf(c_0_93,plain,
( ~ ( e @ $true )
| ~ ( b @ $true )
| ~ esk14_0 ),
inference(cn,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_82])]) ).
thf(c_0_94,plain,
( ( e @ esk20_0 )
<~> ( d @ esk20_0 ) ),
inference(neg_ext,[status(thm)],[c_0_83]) ).
thf(c_0_95,plain,
( ~ ( c @ $true )
| ~ ( e @ $true )
| ~ esk18_0 ),
inference(cn,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_84])]) ).
thf(c_0_96,plain,
( ( e @ $true )
| ( a @ $true )
| ~ esk8_0 ),
inference(cn,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_85])]) ).
thf(c_0_97,plain,
( ~ ( a @ $true )
| ~ ( b @ $true )
| ~ esk2_0 ),
inference(cn,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_77])]) ).
thf(c_0_98,plain,
( ( b @ $true )
| ( d @ $true )
| ~ esk12_0 ),
inference(cn,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_76])]) ).
thf(c_0_99,plain,
( ( a @ $true )
| ~ ( d @ $true )
| ~ esk12_0
| ~ esk2_0 ),
inference(spm,[status(thm)],[c_0_86,c_0_87]) ).
thf(c_0_100,plain,
( ( d @ $true )
| ( a @ $true )
| ~ esk6_0 ),
inference(cn,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_88])]) ).
thf(c_0_101,plain,
( esk2_0
| ~ ( a @ ~ $true )
| ~ ( b @ ~ $true ) ),
inference(cn,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_77])]) ).
thf(c_0_102,plain,
( ( b @ ~ $true )
| ( c @ ~ $true )
| esk10_0 ),
inference(cn,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_79])]) ).
thf(c_0_103,plain,
( ( a @ ~ $true )
| esk2_0
| esk10_0
| ~ ( c @ ~ $true ) ),
inference(spm,[status(thm)],[c_0_89,c_0_90]) ).
thf(c_0_104,plain,
( ( c @ ~ $true )
| ( a @ ~ $true )
| esk4_0 ),
inference(cn,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_91])]) ).
thf(c_0_105,plain,
( esk16_0
| ~ ( c @ ~ $true )
| ~ ( d @ ~ $true ) ),
inference(cn,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_92])]) ).
thf(c_0_106,plain,
( ( d @ ~ $true )
| ( a @ ~ $true )
| esk6_0 ),
inference(cn,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_88])]) ).
thf(c_0_107,plain,
( ~ ( c @ $true )
| ~ ( d @ $true )
| ~ esk16_0 ),
inference(cn,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_92])]) ).
thf(c_0_108,plain,
( ( b @ $true )
| ( e @ $true )
| ~ esk14_0 ),
inference(cn,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_82])]) ).
thf(c_0_109,plain,
( ( a @ $true )
| ~ ( e @ $true )
| ~ esk14_0
| ~ esk2_0 ),
inference(spm,[status(thm)],[c_0_93,c_0_87]) ).
thf(c_0_110,plain,
( ( e @ $true )
| ( d @ $true )
| ~ esk20_0 ),
inference(cn,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_94])]) ).
thf(c_0_111,plain,
( ( d @ $true )
| ( c @ $true )
| ~ esk16_0 ),
inference(cn,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_92])]) ).
thf(c_0_112,plain,
( ~ ( a @ $true )
| ~ ( e @ $true )
| ~ esk8_0 ),
inference(cn,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_85])]) ).
thf(c_0_113,plain,
( ( e @ $true )
| ( c @ $true )
| ~ esk18_0 ),
inference(cn,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_84])]) ).
thf(c_0_114,plain,
( ( a @ $true )
| ~ ( c @ $true )
| ~ esk18_0
| ~ esk8_0 ),
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
thf(c_0_115,plain,
( ( c @ $true )
| ( a @ $true )
| ~ esk4_0 ),
inference(cn,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_91])]) ).
thf(c_0_116,plain,
( ( d @ $true )
| ~ ( a @ $true )
| ~ esk2_0
| ~ esk12_0 ),
inference(spm,[status(thm)],[c_0_97,c_0_98]) ).
thf(c_0_117,plain,
( ( a @ $true )
| ~ esk12_0
| ~ esk2_0
| ~ esk6_0 ),
inference(spm,[status(thm)],[c_0_99,c_0_100]) ).
thf(c_0_118,plain,
( ( c @ ~ $true )
| esk10_0
| esk2_0
| ~ ( a @ ~ $true ) ),
inference(spm,[status(thm)],[c_0_101,c_0_102]) ).
thf(c_0_119,plain,
( ( a @ ~ $true )
| esk4_0
| esk10_0
| esk2_0 ),
inference(spm,[status(thm)],[c_0_103,c_0_104]) ).
thf(c_0_120,plain,
( esk6_0
| ~ ( a @ ~ $true )
| ~ ( d @ ~ $true ) ),
inference(cn,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_88])]) ).
thf(c_0_121,plain,
( ( d @ ~ $true )
| ( c @ ~ $true )
| esk16_0 ),
inference(cn,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_92])]) ).
thf(c_0_122,plain,
( ( a @ ~ $true )
| esk6_0
| esk16_0
| ~ ( c @ ~ $true ) ),
inference(spm,[status(thm)],[c_0_105,c_0_106]) ).
thf(c_0_123,plain,
( esk12_0
| ~ ( d @ ~ $true )
| ~ ( b @ ~ $true ) ),
inference(cn,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_76])]) ).
thf(c_0_124,plain,
( ( b @ $true )
| ( c @ $true )
| ~ esk10_0 ),
inference(cn,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_79])]) ).
thf(c_0_125,plain,
( ~ ( a @ $true )
| ~ ( d @ $true )
| ~ esk6_0 ),
inference(cn,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_88])]) ).
thf(c_0_126,plain,
( ( a @ $true )
| ~ ( c @ $true )
| ~ esk16_0
| ~ esk6_0 ),
inference(spm,[status(thm)],[c_0_107,c_0_100]) ).
thf(c_0_127,plain,
( ( e @ $true )
| ~ ( a @ $true )
| ~ esk2_0
| ~ esk14_0 ),
inference(spm,[status(thm)],[c_0_97,c_0_108]) ).
thf(c_0_128,plain,
( ( a @ $true )
| ~ esk14_0
| ~ esk2_0
| ~ esk8_0 ),
inference(spm,[status(thm)],[c_0_109,c_0_96]) ).
thf(c_0_129,plain,
( ( d @ $true )
| ( a @ $true )
| ~ esk14_0
| ~ esk2_0
| ~ esk20_0 ),
inference(spm,[status(thm)],[c_0_109,c_0_110]) ).
thf(c_0_130,plain,
( ~ ( c @ $true )
| ~ ( b @ $true )
| ~ esk10_0 ),
inference(cn,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_79])]) ).
thf(c_0_131,plain,
( esk18_0
| ~ ( c @ ~ $true )
| ~ ( e @ ~ $true ) ),
inference(cn,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_84])]) ).
thf(c_0_132,plain,
( ( e @ ~ $true )
| ( a @ ~ $true )
| esk8_0 ),
inference(cn,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_85])]) ).
thf(c_0_133,plain,
( esk14_0
| ~ ( e @ ~ $true )
| ~ ( b @ ~ $true ) ),
inference(cn,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_82])]) ).
thf(c_0_134,plain,
( ( c @ $true )
| ( a @ $true )
| ~ esk12_0
| ~ esk2_0
| ~ esk16_0 ),
inference(spm,[status(thm)],[c_0_99,c_0_111]) ).
thf(c_0_135,plain,
( ( c @ $true )
| ~ ( a @ $true )
| ~ esk8_0
| ~ esk18_0 ),
inference(spm,[status(thm)],[c_0_112,c_0_113]) ).
thf(c_0_136,plain,
( ( a @ $true )
| ~ esk18_0
| ~ esk8_0
| ~ esk4_0 ),
inference(spm,[status(thm)],[c_0_114,c_0_115]) ).
thf(c_0_137,plain,
( ( d @ $true )
| ~ esk2_0
| ~ esk12_0
| ~ esk6_0 ),
inference(spm,[status(thm)],[c_0_116,c_0_117]) ).
thf(c_0_138,plain,
( esk4_0
| ~ ( a @ ~ $true )
| ~ ( c @ ~ $true ) ),
inference(cn,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_91])]) ).
thf(c_0_139,plain,
( ( c @ ~ $true )
| esk4_0
| esk2_0
| esk10_0 ),
inference(spm,[status(thm)],[c_0_118,c_0_119]) ).
thf(c_0_140,plain,
( ( c @ ~ $true )
| esk16_0
| esk6_0
| ~ ( a @ ~ $true ) ),
inference(spm,[status(thm)],[c_0_120,c_0_121]) ).
thf(c_0_141,plain,
( ( a @ ~ $true )
| esk4_0
| esk16_0
| esk6_0 ),
inference(spm,[status(thm)],[c_0_122,c_0_104]) ).
thf(c_0_142,plain,
( ( b @ ~ $true )
| ( d @ ~ $true )
| esk12_0 ),
inference(cn,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_76])]) ).
thf(c_0_143,plain,
( ( c @ ~ $true )
| esk10_0
| esk12_0
| ~ ( d @ ~ $true ) ),
inference(spm,[status(thm)],[c_0_123,c_0_102]) ).
thf(c_0_144,plain,
( ( c @ $true )
| ~ ( d @ $true )
| ~ esk12_0
| ~ esk10_0 ),
inference(spm,[status(thm)],[c_0_86,c_0_124]) ).
thf(c_0_145,plain,
( esk20_0
| ~ ( d @ ~ $true )
| ~ ( e @ ~ $true ) ),
inference(cn,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_94])]) ).
thf(c_0_146,plain,
( ( c @ $true )
| ~ ( a @ $true )
| ~ esk6_0
| ~ esk16_0 ),
inference(spm,[status(thm)],[c_0_125,c_0_111]) ).
thf(c_0_147,plain,
( ( a @ $true )
| ~ esk16_0
| ~ esk6_0
| ~ esk4_0 ),
inference(spm,[status(thm)],[c_0_126,c_0_115]) ).
thf(c_0_148,plain,
( ( e @ $true )
| ~ esk2_0
| ~ esk14_0
| ~ esk8_0 ),
inference(spm,[status(thm)],[c_0_127,c_0_128]) ).
thf(c_0_149,plain,
( ( a @ $true )
| ~ ( c @ $true )
| ~ esk16_0
| ~ esk14_0
| ~ esk2_0
| ~ esk20_0 ),
inference(spm,[status(thm)],[c_0_107,c_0_129]) ).
thf(c_0_150,plain,
( ( a @ $true )
| ~ ( c @ $true )
| ~ esk10_0
| ~ esk2_0 ),
inference(spm,[status(thm)],[c_0_130,c_0_87]) ).
thf(c_0_151,plain,
( ( a @ ~ $true )
| esk2_0
| esk12_0
| ~ ( d @ ~ $true ) ),
inference(spm,[status(thm)],[c_0_123,c_0_90]) ).
thf(c_0_152,plain,
( ( c @ $true )
| ( a @ $true )
| ~ esk14_0
| ~ esk2_0
| ~ esk18_0 ),
inference(spm,[status(thm)],[c_0_109,c_0_113]) ).
thf(c_0_153,plain,
( esk8_0
| ~ ( a @ ~ $true )
| ~ ( e @ ~ $true ) ),
inference(cn,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_85])]) ).
thf(c_0_154,plain,
( ( e @ ~ $true )
| ( c @ ~ $true )
| esk18_0 ),
inference(cn,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_84])]) ).
thf(c_0_155,plain,
( ( a @ ~ $true )
| esk8_0
| esk18_0
| ~ ( c @ ~ $true ) ),
inference(spm,[status(thm)],[c_0_131,c_0_132]) ).
thf(c_0_156,plain,
( ( b @ ~ $true )
| ( e @ ~ $true )
| esk14_0 ),
inference(cn,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_82])]) ).
thf(c_0_157,plain,
( ( a @ ~ $true )
| esk2_0
| esk14_0
| ~ ( e @ ~ $true ) ),
inference(spm,[status(thm)],[c_0_133,c_0_90]) ).
thf(c_0_158,plain,
( ( a @ $true )
| ~ esk18_0
| ~ esk8_0
| ~ esk12_0
| ~ esk2_0
| ~ esk16_0 ),
inference(spm,[status(thm)],[c_0_114,c_0_134]) ).
thf(c_0_159,plain,
( ~ ( a @ $true )
| ~ ( c @ $true )
| ~ esk4_0 ),
inference(cn,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_91])]) ).
thf(c_0_160,plain,
( ( c @ $true )
| ~ esk8_0
| ~ esk18_0
| ~ esk4_0 ),
inference(spm,[status(thm)],[c_0_135,c_0_136]) ).
thf(c_0_161,plain,
( ~ esk6_0
| ~ esk2_0
| ~ esk12_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_137]),c_0_117]) ).
thf(c_0_162,plain,
( esk10_0
| esk2_0
| esk4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_139]),c_0_119]) ).
thf(c_0_163,plain,
( ( c @ ~ $true )
| esk4_0
| esk6_0
| esk16_0 ),
inference(spm,[status(thm)],[c_0_140,c_0_141]) ).
thf(c_0_164,plain,
( ( d @ ~ $true )
| esk12_0
| esk10_0
| ~ ( c @ ~ $true ) ),
inference(spm,[status(thm)],[c_0_89,c_0_142]) ).
thf(c_0_165,plain,
( ( c @ ~ $true )
| esk16_0
| esk12_0
| esk10_0 ),
inference(spm,[status(thm)],[c_0_143,c_0_121]) ).
thf(c_0_166,plain,
( ( d @ $true )
| ~ ( c @ $true )
| ~ esk10_0
| ~ esk12_0 ),
inference(spm,[status(thm)],[c_0_130,c_0_98]) ).
thf(c_0_167,plain,
( ( c @ $true )
| ~ esk12_0
| ~ esk10_0
| ~ esk16_0 ),
inference(spm,[status(thm)],[c_0_144,c_0_111]) ).
thf(c_0_168,plain,
( ( e @ ~ $true )
| ( d @ ~ $true )
| esk20_0 ),
inference(cn,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_94])]) ).
thf(c_0_169,plain,
( ( a @ ~ $true )
| esk8_0
| esk20_0
| ~ ( d @ ~ $true ) ),
inference(spm,[status(thm)],[c_0_145,c_0_132]) ).
thf(c_0_170,plain,
( ~ ( d @ $true )
| ~ ( e @ $true )
| ~ esk20_0 ),
inference(cn,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_94])]) ).
thf(c_0_171,plain,
( ( c @ ~ $true )
| esk10_0
| esk14_0
| ~ ( e @ ~ $true ) ),
inference(spm,[status(thm)],[c_0_133,c_0_102]) ).
thf(c_0_172,plain,
( ( c @ $true )
| ~ esk6_0
| ~ esk16_0
| ~ esk4_0 ),
inference(spm,[status(thm)],[c_0_146,c_0_147]) ).
thf(c_0_173,plain,
( ~ esk8_0
| ~ esk2_0
| ~ esk14_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_148]),c_0_128]) ).
thf(c_0_174,plain,
( ( a @ $true )
| ~ esk16_0
| ~ esk14_0
| ~ esk2_0
| ~ esk20_0
| ~ esk4_0 ),
inference(spm,[status(thm)],[c_0_149,c_0_115]) ).
thf(c_0_175,plain,
( ( c @ $true )
| ~ ( a @ $true )
| ~ esk2_0
| ~ esk10_0 ),
inference(spm,[status(thm)],[c_0_97,c_0_124]) ).
thf(c_0_176,plain,
( ( a @ $true )
| ~ esk10_0
| ~ esk2_0
| ~ esk4_0 ),
inference(spm,[status(thm)],[c_0_150,c_0_115]) ).
thf(c_0_177,plain,
( ( d @ ~ $true )
| esk12_0
| esk2_0
| ~ ( a @ ~ $true ) ),
inference(spm,[status(thm)],[c_0_101,c_0_142]) ).
thf(c_0_178,plain,
( ( a @ ~ $true )
| esk6_0
| esk12_0
| esk2_0 ),
inference(spm,[status(thm)],[c_0_151,c_0_106]) ).
thf(c_0_179,plain,
( ( a @ $true )
| ~ esk16_0
| ~ esk6_0
| ~ esk14_0
| ~ esk2_0
| ~ esk18_0 ),
inference(spm,[status(thm)],[c_0_126,c_0_152]) ).
thf(c_0_180,plain,
( ( c @ $true )
| ~ ( e @ $true )
| ~ esk14_0
| ~ esk10_0 ),
inference(spm,[status(thm)],[c_0_93,c_0_124]) ).
thf(c_0_181,plain,
( ( c @ ~ $true )
| esk18_0
| esk8_0
| ~ ( a @ ~ $true ) ),
inference(spm,[status(thm)],[c_0_153,c_0_154]) ).
thf(c_0_182,plain,
( ( a @ ~ $true )
| esk4_0
| esk18_0
| esk8_0 ),
inference(spm,[status(thm)],[c_0_155,c_0_104]) ).
thf(c_0_183,plain,
( ( e @ ~ $true )
| esk14_0
| esk2_0
| ~ ( a @ ~ $true ) ),
inference(spm,[status(thm)],[c_0_101,c_0_156]) ).
thf(c_0_184,plain,
( ( a @ ~ $true )
| esk8_0
| esk14_0
| esk2_0 ),
inference(spm,[status(thm)],[c_0_157,c_0_132]) ).
thf(c_0_185,plain,
( ( d @ ~ $true )
| esk12_0
| esk14_0
| ~ ( e @ ~ $true ) ),
inference(spm,[status(thm)],[c_0_133,c_0_142]) ).
thf(c_0_186,plain,
( ( d @ $true )
| ~ esk2_0
| ~ esk12_0
| ~ esk18_0
| ~ esk8_0
| ~ esk16_0 ),
inference(spm,[status(thm)],[c_0_116,c_0_158]) ).
thf(c_0_187,plain,
( ~ esk4_0
| ~ esk8_0
| ~ esk18_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_160]),c_0_136]) ).
thf(c_0_188,plain,
( esk4_0
| esk10_0
| ~ esk6_0
| ~ esk12_0 ),
inference(spm,[status(thm)],[c_0_161,c_0_162]) ).
thf(c_0_189,plain,
( esk16_0
| esk6_0
| esk4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_163]),c_0_141]) ).
thf(c_0_190,plain,
( ( d @ ~ $true )
| esk16_0
| esk10_0
| esk12_0 ),
inference(spm,[status(thm)],[c_0_164,c_0_165]) ).
thf(c_0_191,plain,
( ( d @ $true )
| ~ esk10_0
| ~ esk12_0
| ~ esk16_0 ),
inference(spm,[status(thm)],[c_0_166,c_0_167]) ).
thf(c_0_192,plain,
( ( d @ ~ $true )
| esk20_0
| esk8_0
| ~ ( a @ ~ $true ) ),
inference(spm,[status(thm)],[c_0_153,c_0_168]) ).
thf(c_0_193,plain,
( ( a @ ~ $true )
| esk6_0
| esk20_0
| esk8_0 ),
inference(spm,[status(thm)],[c_0_169,c_0_106]) ).
thf(c_0_194,plain,
( ( c @ $true )
| ~ ( d @ $true )
| ~ esk20_0
| ~ esk18_0 ),
inference(spm,[status(thm)],[c_0_170,c_0_113]) ).
thf(c_0_195,plain,
( ( e @ ~ $true )
| esk14_0
| esk10_0
| ~ ( c @ ~ $true ) ),
inference(spm,[status(thm)],[c_0_89,c_0_156]) ).
thf(c_0_196,plain,
( ( c @ ~ $true )
| esk18_0
| esk14_0
| esk10_0 ),
inference(spm,[status(thm)],[c_0_171,c_0_154]) ).
thf(c_0_197,plain,
( ~ esk4_0
| ~ esk6_0
| ~ esk16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_172]),c_0_147]) ).
thf(c_0_198,plain,
( esk4_0
| esk10_0
| ~ esk8_0
| ~ esk14_0 ),
inference(spm,[status(thm)],[c_0_173,c_0_162]) ).
thf(c_0_199,plain,
( ( e @ $true )
| ~ esk2_0
| ~ esk14_0
| ~ esk16_0
| ~ esk20_0
| ~ esk4_0 ),
inference(spm,[status(thm)],[c_0_127,c_0_174]) ).
thf(c_0_200,plain,
( ( c @ $true )
| ~ esk2_0
| ~ esk10_0
| ~ esk4_0 ),
inference(spm,[status(thm)],[c_0_175,c_0_176]) ).
thf(c_0_201,plain,
( ( d @ ~ $true )
| esk6_0
| esk2_0
| esk12_0 ),
inference(spm,[status(thm)],[c_0_177,c_0_178]) ).
thf(c_0_202,plain,
( ( d @ $true )
| ~ ( e @ $true )
| ~ esk14_0
| ~ esk12_0 ),
inference(spm,[status(thm)],[c_0_93,c_0_98]) ).
thf(c_0_203,plain,
( ( e @ $true )
| ~ esk2_0
| ~ esk14_0
| ~ esk16_0
| ~ esk6_0
| ~ esk18_0 ),
inference(spm,[status(thm)],[c_0_127,c_0_179]) ).
thf(c_0_204,plain,
( ( e @ $true )
| ~ ( c @ $true )
| ~ esk10_0
| ~ esk14_0 ),
inference(spm,[status(thm)],[c_0_130,c_0_108]) ).
thf(c_0_205,plain,
( ( c @ $true )
| ~ esk14_0
| ~ esk10_0
| ~ esk18_0 ),
inference(spm,[status(thm)],[c_0_180,c_0_113]) ).
thf(c_0_206,plain,
( ( c @ ~ $true )
| esk4_0
| esk8_0
| esk18_0 ),
inference(spm,[status(thm)],[c_0_181,c_0_182]) ).
thf(c_0_207,plain,
( ( e @ ~ $true )
| esk8_0
| esk2_0
| esk14_0 ),
inference(spm,[status(thm)],[c_0_183,c_0_184]) ).
thf(c_0_208,plain,
( ( e @ ~ $true )
| esk14_0
| esk12_0
| ~ ( d @ ~ $true ) ),
inference(spm,[status(thm)],[c_0_123,c_0_156]) ).
thf(c_0_209,plain,
( ( d @ ~ $true )
| esk20_0
| esk14_0
| esk12_0 ),
inference(spm,[status(thm)],[c_0_185,c_0_168]) ).
thf(c_0_210,plain,
( ~ ( c @ $true )
| ~ esk16_0
| ~ esk2_0
| ~ esk12_0
| ~ esk18_0
| ~ esk8_0 ),
inference(spm,[status(thm)],[c_0_107,c_0_186]) ).
thf(c_0_211,plain,
( esk10_0
| ~ esk8_0
| ~ esk18_0
| ~ esk6_0
| ~ esk12_0 ),
inference(spm,[status(thm)],[c_0_187,c_0_188]) ).
thf(c_0_212,plain,
( esk6_0
| esk16_0
| ~ esk8_0
| ~ esk18_0 ),
inference(spm,[status(thm)],[c_0_187,c_0_189]) ).
thf(c_0_213,plain,
( esk12_0
| esk10_0
| esk16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_190]),c_0_165]) ).
thf(c_0_214,plain,
( ~ esk16_0
| ~ esk10_0
| ~ esk12_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_191]),c_0_167]) ).
thf(c_0_215,plain,
( ( d @ ~ $true )
| esk6_0
| esk8_0
| esk20_0 ),
inference(spm,[status(thm)],[c_0_192,c_0_193]) ).
thf(c_0_216,plain,
( ( d @ $true )
| ~ ( c @ $true )
| ~ esk18_0
| ~ esk20_0 ),
inference(spm,[status(thm)],[c_0_95,c_0_110]) ).
thf(c_0_217,plain,
( ( c @ $true )
| ~ esk20_0
| ~ esk18_0
| ~ esk16_0 ),
inference(spm,[status(thm)],[c_0_194,c_0_111]) ).
thf(c_0_218,plain,
( ( e @ ~ $true )
| esk18_0
| esk10_0
| esk14_0 ),
inference(spm,[status(thm)],[c_0_195,c_0_196]) ).
thf(c_0_219,plain,
( ( a @ $true )
| ( c @ $true )
| ~ esk14_0
| ~ esk10_0
| ~ esk8_0 ),
inference(spm,[status(thm)],[c_0_180,c_0_96]) ).
thf(c_0_220,plain,
( esk10_0
| ~ esk6_0
| ~ esk16_0
| ~ esk8_0
| ~ esk14_0 ),
inference(spm,[status(thm)],[c_0_197,c_0_198]) ).
thf(c_0_221,plain,
( ~ ( d @ $true )
| ~ esk20_0
| ~ esk2_0
| ~ esk14_0
| ~ esk16_0
| ~ esk4_0 ),
inference(spm,[status(thm)],[c_0_170,c_0_199]) ).
thf(c_0_222,plain,
( ~ esk4_0
| ~ esk2_0
| ~ esk10_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_200]),c_0_176]) ).
thf(c_0_223,plain,
( esk12_0
| esk2_0
| esk6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_201]),c_0_178]) ).
thf(c_0_224,plain,
( ( e @ $true )
| ~ ( d @ $true )
| ~ esk12_0
| ~ esk14_0 ),
inference(spm,[status(thm)],[c_0_86,c_0_108]) ).
thf(c_0_225,plain,
( ( d @ $true )
| ~ esk14_0
| ~ esk12_0
| ~ esk20_0 ),
inference(spm,[status(thm)],[c_0_202,c_0_110]) ).
thf(c_0_226,plain,
( ~ ( c @ $true )
| ~ esk18_0
| ~ esk2_0
| ~ esk14_0
| ~ esk16_0
| ~ esk6_0 ),
inference(spm,[status(thm)],[c_0_95,c_0_203]) ).
thf(c_0_227,plain,
( ( e @ $true )
| ~ esk10_0
| ~ esk14_0
| ~ esk18_0 ),
inference(spm,[status(thm)],[c_0_204,c_0_205]) ).
thf(c_0_228,plain,
( esk18_0
| esk8_0
| esk4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_206]),c_0_182]) ).
thf(c_0_229,plain,
( esk14_0
| esk2_0
| esk8_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_207]),c_0_184]) ).
thf(c_0_230,plain,
( ( e @ ~ $true )
| esk20_0
| esk12_0
| esk14_0 ),
inference(spm,[status(thm)],[c_0_208,c_0_209]) ).
thf(c_0_231,plain,
( ~ esk8_0
| ~ esk18_0
| ~ esk12_0
| ~ esk2_0
| ~ esk16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_158]),c_0_210]) ).
thf(c_0_232,plain,
( esk16_0
| esk10_0
| ~ esk8_0
| ~ esk18_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_212]),c_0_213]) ).
thf(c_0_233,plain,
( ~ esk6_0
| ~ esk16_0
| ~ esk12_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_188]),c_0_214]) ).
thf(c_0_234,plain,
( esk20_0
| esk8_0
| esk6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_215]),c_0_193]) ).
thf(c_0_235,plain,
( ( d @ $true )
| ~ esk18_0
| ~ esk20_0
| ~ esk16_0 ),
inference(spm,[status(thm)],[c_0_216,c_0_217]) ).
thf(c_0_236,plain,
( esk14_0
| esk10_0
| esk18_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_218]),c_0_196]) ).
thf(c_0_237,plain,
( ( a @ $true )
| ~ esk16_0
| ~ esk6_0
| ~ esk14_0
| ~ esk8_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_219]),c_0_220]) ).
thf(c_0_238,plain,
( ( c @ $true )
| ~ esk20_0
| ~ esk2_0
| ~ esk14_0
| ~ esk16_0
| ~ esk4_0 ),
inference(spm,[status(thm)],[c_0_221,c_0_111]) ).
thf(c_0_239,plain,
( esk6_0
| esk12_0
| ~ esk4_0
| ~ esk10_0 ),
inference(spm,[status(thm)],[c_0_222,c_0_223]) ).
thf(c_0_240,plain,
( ( e @ $true )
| ~ esk12_0
| ~ esk14_0
| ~ esk20_0 ),
inference(spm,[status(thm)],[c_0_224,c_0_225]) ).
thf(c_0_241,plain,
( ~ esk6_0
| ~ esk16_0
| ~ esk14_0
| ~ esk2_0
| ~ esk18_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_179]),c_0_226]) ).
thf(c_0_242,plain,
( ~ esk18_0
| ~ esk10_0
| ~ esk14_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_227]),c_0_205]) ).
thf(c_0_243,plain,
( esk8_0
| esk18_0
| ~ esk6_0
| ~ esk16_0 ),
inference(spm,[status(thm)],[c_0_197,c_0_228]) ).
thf(c_0_244,plain,
( esk8_0
| esk14_0
| ~ esk6_0
| ~ esk12_0 ),
inference(spm,[status(thm)],[c_0_161,c_0_229]) ).
thf(c_0_245,plain,
( esk14_0
| esk12_0
| esk20_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_230]),c_0_209]) ).
thf(c_0_246,plain,
( esk10_0
| ~ esk8_0
| ~ esk18_0
| ~ esk12_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_231,c_0_162]),c_0_232]),c_0_187]) ).
thf(c_0_247,plain,
( esk8_0
| esk20_0
| ~ esk16_0
| ~ esk12_0 ),
inference(spm,[status(thm)],[c_0_233,c_0_234]) ).
thf(c_0_248,plain,
( ~ esk16_0
| ~ esk18_0
| ~ esk20_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_235]),c_0_217]) ).
thf(c_0_249,plain,
( esk18_0
| esk14_0
| ~ esk16_0
| ~ esk12_0 ),
inference(spm,[status(thm)],[c_0_214,c_0_236]) ).
thf(c_0_250,plain,
( ( c @ $true )
| ~ esk6_0
| ~ esk16_0
| ~ esk14_0
| ~ esk8_0 ),
inference(spm,[status(thm)],[c_0_146,c_0_237]) ).
thf(c_0_251,plain,
( ~ esk4_0
| ~ esk20_0
| ~ esk2_0
| ~ esk14_0
| ~ esk16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_238]),c_0_174]) ).
thf(c_0_252,plain,
( esk16_0
| esk12_0
| esk6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_239,c_0_189]),c_0_213]) ).
thf(c_0_253,plain,
( ~ esk20_0
| ~ esk12_0
| ~ esk14_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_240]),c_0_225]) ).
thf(c_0_254,plain,
( esk8_0
| esk14_0
| ~ esk4_0
| ~ esk10_0 ),
inference(spm,[status(thm)],[c_0_222,c_0_229]) ).
thf(c_0_255,plain,
( ~ esk6_0
| ~ esk16_0
| ~ esk14_0
| ~ esk18_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_241,c_0_162]),c_0_197]),c_0_242]) ).
thf(c_0_256,plain,
( esk20_0
| esk18_0
| esk8_0
| ~ esk16_0 ),
inference(spm,[status(thm)],[c_0_243,c_0_234]) ).
thf(c_0_257,plain,
( esk20_0
| esk14_0
| esk8_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_234]),c_0_245]) ).
thf(c_0_258,plain,
( ~ esk18_0
| ~ esk12_0
| ~ esk16_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_247]),c_0_248]),c_0_214]) ).
thf(c_0_259,plain,
( esk20_0
| esk14_0
| esk18_0
| ~ esk16_0 ),
inference(spm,[status(thm)],[c_0_249,c_0_245]) ).
thf(c_0_260,plain,
( ( a @ $true )
| ~ ( d @ $true )
| ~ esk20_0
| ~ esk8_0 ),
inference(spm,[status(thm)],[c_0_170,c_0_96]) ).
thf(c_0_261,plain,
( ( e @ $true )
| ~ esk14_0
| ~ esk6_0
| ~ esk16_0
| ~ esk8_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_250]),c_0_220]) ).
thf(c_0_262,plain,
( esk6_0
| ~ esk4_0
| ~ esk20_0
| ~ esk14_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_251,c_0_223]),c_0_252]),c_0_253]) ).
thf(c_0_263,plain,
( esk18_0
| esk14_0
| esk8_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_254,c_0_228]),c_0_236]) ).
thf(c_0_264,plain,
( ~ esk8_0
| ~ esk18_0
| ~ esk14_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_198]),c_0_242]) ).
thf(c_0_265,plain,
( esk8_0
| esk20_0
| ~ esk16_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_255,c_0_234]),c_0_256]),c_0_257]) ).
thf(c_0_266,plain,
( esk20_0
| esk14_0
| ~ esk16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_258,c_0_245]),c_0_259]) ).
thf(c_0_267,plain,
( ( c @ $true )
| ( a @ $true )
| ~ esk20_0
| ~ esk8_0
| ~ esk16_0 ),
inference(spm,[status(thm)],[c_0_260,c_0_111]) ).
thf(c_0_268,plain,
( ~ esk8_0
| ~ esk14_0
| ~ esk6_0
| ~ esk16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_261]),c_0_237]) ).
thf(c_0_269,plain,
( esk6_0
| esk12_0
| ~ esk8_0
| ~ esk14_0 ),
inference(spm,[status(thm)],[c_0_173,c_0_223]) ).
thf(c_0_270,plain,
( esk8_0
| esk18_0
| esk6_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_262,c_0_228]),c_0_263]),c_0_234]) ).
thf(c_0_271,plain,
( ~ esk18_0
| ~ esk16_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_265]),c_0_266]),c_0_248]) ).
thf(c_0_272,plain,
( ( d @ $true )
| ~ ( a @ $true )
| ~ esk8_0
| ~ esk20_0 ),
inference(spm,[status(thm)],[c_0_112,c_0_110]) ).
thf(c_0_273,plain,
( ( a @ $true )
| ~ esk10_0
| ~ esk2_0
| ~ esk20_0
| ~ esk8_0
| ~ esk16_0 ),
inference(spm,[status(thm)],[c_0_150,c_0_267]) ).
thf(c_0_274,plain,
( ( a @ $true )
| ~ esk20_0
| ~ esk8_0
| ~ esk6_0 ),
inference(spm,[status(thm)],[c_0_260,c_0_100]) ).
thf(c_0_275,plain,
( esk12_0
| ~ esk8_0
| ~ esk14_0
| ~ esk16_0 ),
inference(spm,[status(thm)],[c_0_268,c_0_269]) ).
thf(c_0_276,plain,
( esk8_0
| ~ esk16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_243,c_0_270]),c_0_271]) ).
thf(c_0_277,plain,
( ( d @ $true )
| ~ esk8_0
| ~ esk20_0
| ~ esk10_0
| ~ esk2_0
| ~ esk16_0 ),
inference(spm,[status(thm)],[c_0_272,c_0_273]) ).
thf(c_0_278,plain,
( ( c @ $true )
| ~ esk2_0
| ~ esk10_0
| ~ esk20_0
| ~ esk8_0
| ~ esk16_0 ),
inference(spm,[status(thm)],[c_0_175,c_0_273]) ).
thf(c_0_279,plain,
( ( d @ $true )
| ~ esk8_0
| ~ esk20_0
| ~ esk6_0 ),
inference(spm,[status(thm)],[c_0_272,c_0_274]) ).
thf(c_0_280,plain,
( ( a @ $true )
| ( d @ $true )
| ~ esk14_0
| ~ esk12_0
| ~ esk8_0 ),
inference(spm,[status(thm)],[c_0_202,c_0_96]) ).
thf(c_0_281,plain,
( esk12_0
| ~ esk14_0
| ~ esk16_0 ),
inference(spm,[status(thm)],[c_0_275,c_0_276]) ).
thf(c_0_282,plain,
( ~ esk16_0
| ~ esk8_0
| ~ esk20_0
| ~ esk10_0
| ~ esk2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_277]),c_0_278]) ).
thf(c_0_283,plain,
( ~ esk6_0
| ~ esk8_0
| ~ esk20_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_279]),c_0_274]) ).
thf(c_0_284,plain,
( ( a @ $true )
| ~ ( c @ $true )
| ~ esk16_0
| ~ esk14_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_280]),c_0_276]),c_0_281]) ).
thf(c_0_285,plain,
( ( a @ $true )
| ( d @ $true )
| ~ esk10_0
| ~ esk12_0
| ~ esk4_0 ),
inference(spm,[status(thm)],[c_0_166,c_0_115]) ).
thf(c_0_286,plain,
( esk12_0
| ~ esk8_0
| ~ esk20_0
| ~ esk10_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_282,c_0_223]),c_0_252]),c_0_283]) ).
thf(c_0_287,plain,
( ( a @ $true )
| ~ esk16_0
| ~ esk14_0
| ~ esk2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_284,c_0_134]),c_0_281]) ).
thf(c_0_288,plain,
( ( a @ $true )
| ( e @ $true )
| ~ esk10_0
| ~ esk14_0
| ~ esk4_0 ),
inference(spm,[status(thm)],[c_0_204,c_0_115]) ).
thf(c_0_289,plain,
( ( a @ $true )
| ~ esk20_0
| ~ esk8_0
| ~ esk10_0
| ~ esk4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_285]),c_0_286]) ).
thf(c_0_290,plain,
( ( c @ $true )
| ( e @ $true )
| ~ esk14_0
| ~ esk16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_111]),c_0_281]) ).
thf(c_0_291,plain,
( ( d @ $true )
| ~ esk2_0
| ~ esk16_0
| ~ esk14_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_287]),c_0_281]) ).
thf(c_0_292,plain,
( esk8_0
| esk18_0
| esk12_0
| esk6_0
| ~ esk10_0 ),
inference(spm,[status(thm)],[c_0_239,c_0_228]) ).
thf(c_0_293,plain,
( ( d @ $true )
| ( c @ $true )
| ~ esk14_0
| ~ esk10_0
| ~ esk20_0 ),
inference(spm,[status(thm)],[c_0_180,c_0_110]) ).
thf(c_0_294,plain,
( ( a @ $true )
| ~ ( d @ $true )
| ~ esk20_0
| ~ esk10_0
| ~ esk14_0
| ~ esk4_0 ),
inference(spm,[status(thm)],[c_0_170,c_0_288]) ).
thf(c_0_295,plain,
( ( d @ $true )
| ~ esk8_0
| ~ esk20_0
| ~ esk10_0
| ~ esk4_0 ),
inference(spm,[status(thm)],[c_0_272,c_0_289]) ).
thf(c_0_296,plain,
( ~ esk8_0
| ~ esk20_0
| ~ esk14_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_283,c_0_269]),c_0_253]) ).
thf(c_0_297,plain,
( esk14_0
| esk18_0
| esk12_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_286,c_0_263]),c_0_236]),c_0_245]) ).
thf(c_0_298,plain,
( ( c @ $true )
| ~ ( a @ $true )
| ~ esk14_0
| ~ esk16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_290]),c_0_276]) ).
thf(c_0_299,plain,
( ~ ( c @ $true )
| ~ esk16_0
| ~ esk2_0
| ~ esk14_0 ),
inference(spm,[status(thm)],[c_0_107,c_0_291]) ).
thf(c_0_300,plain,
( esk18_0
| esk8_0
| ~ esk16_0
| ~ esk10_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_243,c_0_292]),c_0_214]) ).
thf(c_0_301,plain,
( ( c @ $true )
| ~ ( a @ $true )
| ~ esk6_0
| ~ esk14_0
| ~ esk10_0
| ~ esk20_0 ),
inference(spm,[status(thm)],[c_0_125,c_0_293]) ).
thf(c_0_302,plain,
( ( a @ $true )
| ~ esk20_0
| ~ esk10_0
| ~ esk14_0
| ~ esk4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_294,c_0_100]),c_0_262]) ).
thf(c_0_303,plain,
( ( c @ $true )
| ~ esk10_0
| ~ esk8_0
| ~ esk20_0
| ~ esk4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_295]),c_0_286]) ).
thf(c_0_304,plain,
( ~ esk20_0
| ~ esk14_0
| ~ esk16_0 ),
inference(spm,[status(thm)],[c_0_296,c_0_276]) ).
thf(c_0_305,plain,
( esk14_0
| esk18_0
| ~ esk16_0 ),
inference(spm,[status(thm)],[c_0_249,c_0_297]) ).
thf(c_0_306,plain,
( ( c @ ~ $true )
| esk18_0
| esk20_0
| ~ ( d @ ~ $true ) ),
inference(spm,[status(thm)],[c_0_145,c_0_154]) ).
thf(c_0_307,plain,
( ~ esk14_0
| ~ esk16_0
| ~ esk2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_298,c_0_287]),c_0_299]) ).
thf(c_0_308,plain,
( ~ esk16_0
| ~ esk10_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_275,c_0_300]),c_0_297]),c_0_271]),c_0_214]) ).
thf(c_0_309,plain,
( ( c @ $true )
| ~ esk14_0
| ~ esk10_0
| ~ esk20_0
| ~ esk4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_301,c_0_302]),c_0_262]) ).
thf(c_0_310,plain,
( ~ esk4_0
| ~ esk10_0
| ~ esk8_0
| ~ esk20_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_303]),c_0_289]) ).
thf(c_0_311,plain,
( ~ esk20_0
| ~ esk16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_304,c_0_305]),c_0_271]) ).
thf(c_0_312,plain,
( ( d @ ~ $true )
| esk20_0
| esk18_0
| ~ ( c @ ~ $true ) ),
inference(spm,[status(thm)],[c_0_131,c_0_168]) ).
thf(c_0_313,plain,
( ( c @ ~ $true )
| esk16_0
| esk20_0
| esk18_0 ),
inference(spm,[status(thm)],[c_0_306,c_0_121]) ).
thf(c_0_314,plain,
( ( a @ $true )
| ~ esk16_0
| ~ esk14_0
| ~ esk4_0 ),
inference(spm,[status(thm)],[c_0_284,c_0_115]) ).
thf(c_0_315,plain,
( esk4_0
| ~ esk14_0
| ~ esk16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_307,c_0_162]),c_0_308]) ).
thf(c_0_316,plain,
( ~ esk4_0
| ~ esk14_0
| ~ esk10_0
| ~ esk20_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_309]),c_0_302]) ).
thf(c_0_317,plain,
( ~ esk10_0
| ~ esk8_0
| ~ esk20_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_310,c_0_189]),c_0_283]),c_0_311]) ).
thf(c_0_318,plain,
( ( d @ ~ $true )
| esk16_0
| esk18_0
| esk20_0 ),
inference(spm,[status(thm)],[c_0_312,c_0_313]) ).
thf(c_0_319,plain,
( ( c @ $true )
| ~ esk14_0
| ~ esk16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_298,c_0_314]),c_0_315]) ).
thf(c_0_320,plain,
( esk18_0
| ~ esk10_0
| ~ esk20_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_316,c_0_228]),c_0_263]),c_0_317]) ).
thf(c_0_321,plain,
( esk20_0
| esk18_0
| esk16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_318]),c_0_313]) ).
thf(c_0_322,plain,
( ~ ( a @ $true )
| ~ esk14_0
| ~ esk16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_319]),c_0_315]) ).
thf(c_0_323,plain,
( esk16_0
| esk12_0
| esk18_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_320,c_0_213]),c_0_321]) ).
thf(c_0_324,plain,
( esk14_0
| esk18_0
| ~ esk20_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_317,c_0_263]),c_0_236]) ).
thf(c_0_325,plain,
( ~ esk14_0
| ~ esk16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_322,c_0_314]),c_0_315]) ).
thf(c_0_326,plain,
( esk18_0
| esk16_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_323]),c_0_324]),c_0_321]) ).
thf(c_0_327,plain,
~ esk16_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_325,c_0_266]),c_0_311]) ).
thf(c_0_328,plain,
( ( a @ $true )
| ( c @ $true )
| ~ esk12_0
| ~ esk10_0
| ~ esk6_0 ),
inference(spm,[status(thm)],[c_0_144,c_0_100]) ).
thf(c_0_329,plain,
( esk16_0
| esk12_0
| ~ esk18_0
| ~ esk14_0 ),
inference(spm,[status(thm)],[c_0_242,c_0_213]) ).
thf(c_0_330,plain,
esk18_0,
inference(sr,[status(thm)],[c_0_326,c_0_327]) ).
thf(c_0_331,plain,
( ( a @ $true )
| ~ esk18_0
| ~ esk8_0
| ~ esk12_0
| ~ esk6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_328]),c_0_246]) ).
thf(c_0_332,plain,
( ( c @ $true )
| ( d @ $true )
| ~ esk14_0
| ~ esk12_0
| ~ esk18_0 ),
inference(spm,[status(thm)],[c_0_202,c_0_113]) ).
thf(c_0_333,plain,
( esk12_0
| ~ esk14_0 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_329,c_0_330])]),c_0_327]) ).
thf(c_0_334,plain,
( ~ ( c @ $true )
| ~ ( e @ $true ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_95,c_0_330])]) ).
thf(c_0_335,plain,
( ( a @ $true )
| ( e @ $true )
| ~ esk12_0
| ~ esk14_0
| ~ esk6_0 ),
inference(spm,[status(thm)],[c_0_224,c_0_100]) ).
thf(c_0_336,plain,
( ( c @ $true )
| ~ esk8_0
| ~ esk18_0
| ~ esk12_0
| ~ esk6_0 ),
inference(spm,[status(thm)],[c_0_135,c_0_331]) ).
thf(c_0_337,plain,
( ( d @ $true )
| ( c @ $true )
| ~ esk14_0 ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_332,c_0_330])]),c_0_333]) ).
thf(c_0_338,plain,
( ( a @ $true )
| ~ ( c @ $true )
| ~ esk14_0
| ~ esk6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_334,c_0_335]),c_0_333]) ).
thf(c_0_339,plain,
( ( d @ $true )
| ~ esk12_0
| ~ esk8_0
| ~ esk18_0
| ~ esk6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_336]),c_0_246]) ).
thf(c_0_340,plain,
( ( c @ $true )
| ~ ( a @ $true )
| ~ esk6_0
| ~ esk14_0 ),
inference(spm,[status(thm)],[c_0_125,c_0_337]) ).
thf(c_0_341,plain,
( ( a @ $true )
| ~ esk14_0
| ~ esk6_0
| ~ esk4_0 ),
inference(spm,[status(thm)],[c_0_338,c_0_115]) ).
thf(c_0_342,plain,
( ~ esk6_0
| ~ esk12_0
| ~ esk8_0
| ~ esk18_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_339]),c_0_331]) ).
thf(c_0_343,plain,
( ( c @ $true )
| ~ esk6_0
| ~ esk14_0
| ~ esk4_0 ),
inference(spm,[status(thm)],[c_0_340,c_0_341]) ).
thf(c_0_344,plain,
( ~ esk12_0
| ~ esk8_0
| ~ esk18_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_342,c_0_212]),c_0_271]) ).
thf(c_0_345,plain,
( esk12_0
| esk10_0
| ~ esk16_0
| ~ esk8_0
| ~ esk14_0 ),
inference(spm,[status(thm)],[c_0_220,c_0_269]) ).
thf(c_0_346,plain,
( ~ esk4_0
| ~ esk6_0
| ~ esk14_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_343]),c_0_341]) ).
thf(c_0_347,plain,
( ~ esk10_0
| ~ esk14_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_242,c_0_330])]) ).
thf(c_0_348,plain,
( esk14_0
| esk20_0
| ~ esk18_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_344,c_0_257]),c_0_245]) ).
thf(c_0_349,plain,
( esk20_0
| esk10_0
| esk12_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_345,c_0_265]),c_0_245]),c_0_213]) ).
thf(c_0_350,plain,
( ~ esk6_0
| ~ esk14_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_346,c_0_188]),c_0_333]),c_0_347]) ).
thf(c_0_351,plain,
( esk20_0
| esk14_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_348,c_0_330])]) ).
thf(c_0_352,plain,
( esk12_0
| esk20_0
| ~ esk18_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_349]),c_0_245]) ).
thf(c_0_353,plain,
( ~ esk20_0
| ~ esk14_0
| ~ esk18_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_329]),c_0_248]) ).
thf(c_0_354,plain,
( ~ esk12_0
| ~ esk8_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_344,c_0_330])]) ).
thf(c_0_355,plain,
( esk8_0
| esk20_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_350,c_0_234]),c_0_351]) ).
thf(c_0_356,plain,
( esk20_0
| esk12_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_352,c_0_330])]) ).
thf(c_0_357,plain,
( ~ esk8_0
| ~ esk20_0
| ~ esk18_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_283,c_0_212]),c_0_248]) ).
thf(c_0_358,plain,
( ~ esk20_0
| ~ esk14_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_353,c_0_330])]) ).
thf(c_0_359,plain,
esk20_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_354,c_0_355]),c_0_356]) ).
thf(c_0_360,plain,
( ~ esk8_0
| ~ esk20_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_357,c_0_330])]) ).
thf(c_0_361,plain,
~ esk14_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_358,c_0_359])]) ).
thf(c_0_362,plain,
~ esk8_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_360,c_0_359])]) ).
thf(c_0_363,plain,
( ( c @ $true )
| ~ ( d @ $true )
| ~ esk20_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_194,c_0_330])]) ).
thf(c_0_364,plain,
esk2_0,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_229,c_0_361]),c_0_362]) ).
thf(c_0_365,plain,
( ( c @ $true )
| ~ ( d @ $true ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_363,c_0_359])]) ).
thf(c_0_366,plain,
( esk4_0
| esk6_0 ),
inference(sr,[status(thm)],[c_0_189,c_0_327]) ).
thf(c_0_367,plain,
( esk6_0
| ~ esk8_0 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_212,c_0_330])]),c_0_327]) ).
thf(c_0_368,plain,
( ( a @ $true )
| ~ ( c @ $true )
| ~ esk10_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_150,c_0_364])]) ).
thf(c_0_369,plain,
( ( a @ $true )
| ( c @ $true )
| ~ esk6_0 ),
inference(spm,[status(thm)],[c_0_365,c_0_100]) ).
thf(c_0_370,plain,
( esk6_0
| ~ esk10_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_254,c_0_366]),c_0_347]),c_0_367]) ).
thf(c_0_371,plain,
( ( d @ $true )
| ~ ( c @ $true )
| ~ esk20_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_216,c_0_330])]) ).
thf(c_0_372,plain,
( ( c @ $true )
| ~ ( a @ $true )
| ~ esk10_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_175,c_0_364])]) ).
thf(c_0_373,plain,
( ( a @ $true )
| ~ esk10_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_368,c_0_369]),c_0_370]) ).
thf(c_0_374,plain,
( ( d @ $true )
| ~ ( c @ $true ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_371,c_0_359])]) ).
thf(c_0_375,plain,
( ( c @ $true )
| ~ esk10_0 ),
inference(spm,[status(thm)],[c_0_372,c_0_373]) ).
thf(c_0_376,plain,
( ( d @ $true )
| ~ esk10_0 ),
inference(spm,[status(thm)],[c_0_374,c_0_375]) ).
thf(c_0_377,plain,
( esk10_0
| esk12_0 ),
inference(sr,[status(thm)],[c_0_213,c_0_327]) ).
thf(c_0_378,plain,
~ esk10_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_376]),c_0_370]),c_0_373]) ).
thf(c_0_379,plain,
( ~ esk6_0
| ~ esk12_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_161,c_0_364])]) ).
thf(c_0_380,plain,
esk12_0,
inference(sr,[status(thm)],[c_0_377,c_0_378]) ).
thf(c_0_381,plain,
~ esk6_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_379,c_0_380])]) ).
thf(c_0_382,plain,
( ( c @ ~ $true )
| ( b @ ~ $true ) ),
inference(sr,[status(thm)],[c_0_102,c_0_378]) ).
thf(c_0_383,plain,
( ( a @ ~ $true )
| ( d @ ~ $true ) ),
inference(sr,[status(thm)],[c_0_106,c_0_381]) ).
thf(c_0_384,plain,
( ( c @ ~ $true )
| ( d @ ~ $true ) ),
inference(sr,[status(thm)],[c_0_121,c_0_327]) ).
thf(c_0_385,plain,
( ( c @ ~ $true )
| ~ ( e @ ~ $true ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_382]),c_0_361]) ).
thf(c_0_386,plain,
( ( a @ ~ $true )
| ( e @ ~ $true ) ),
inference(sr,[status(thm)],[c_0_132,c_0_362]) ).
thf(c_0_387,plain,
( ( a @ ~ $true )
| ~ ( c @ ~ $true ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_383]),c_0_327]) ).
thf(c_0_388,plain,
( ( c @ ~ $true )
| esk6_0
| ~ ( a @ ~ $true ) ),
inference(spm,[status(thm)],[c_0_120,c_0_384]) ).
thf(c_0_389,plain,
a @ ~ $true,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_385,c_0_386]),c_0_387]) ).
thf(c_0_390,plain,
c @ ~ $true,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_388,c_0_389])]),c_0_381]) ).
thf(c_0_391,plain,
~ ( e @ ~ $true ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_153,c_0_389])]),c_0_362]) ).
thf(c_0_392,plain,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_195,c_0_390])]),c_0_391]),c_0_361]),c_0_378]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYO505^1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.17 % Computer : n006.cluster.edu
% 0.09/0.17 % Model : x86_64 x86_64
% 0.09/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.17 % Memory : 8046.5625MB
% 0.09/0.17 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Tue Sep 29 17:11:24 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running higher-order theorem proving
% 0.09/0.24 Running: /export/starexec/sandbox/solver/bin/eprover-ho --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.0krZepsLmG/E---3.1_1038005.p
% 0.21/0.35 % Version: 3.5.1-ho
% 0.21/0.35 % partial match(1): HSMSSMSSSSSNFFN
% 0.21/0.35 % Preprocessing class: HSMSSMSSSSSNSFN.
% 0.21/0.35 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.35 % Starting new_ho_10 with 1500s (5) cores
% 0.21/0.35 % Starting new_bool_1 with 300s (1) cores
% 0.21/0.35 % Starting full_lambda_5 with 300s (1) cores
% 0.21/0.35 % Starting new_ho_10_unif with 300s (1) cores
% 0.21/0.35 % new_bool_1 with pid 1038019 completed with status 9
% 0.21/0.35 % new_ho_10_unif with pid 1038021 completed with status 0
% 0.21/0.35 % Result found by new_ho_10_unif
% 0.21/0.35 % partial match(1): HSMSSMSSSSSNFFN
% 0.21/0.35 % Preprocessing class: HSMSSMSSSSSNSFN.
% 0.21/0.35 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.35 % Starting new_ho_10 with 1500s (5) cores
% 0.21/0.35 % Starting new_bool_1 with 300s (1) cores
% 0.21/0.35 % Starting full_lambda_5 with 300s (1) cores
% 0.21/0.35 % Starting new_ho_10_unif with 300s (1) cores
% 0.21/0.35 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.21/0.35 % No SInE strategy applied
% 0.21/0.35 % Search class: HUUPF-FFSM11-SSFFFFNN
% 0.21/0.35 % partial match(2): HUUPF-FFSF11-SFFFFFNN
% 0.21/0.35 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.35 % Starting SubtermCWHack with 28s (1) cores
% 0.21/0.35 % SubtermCWHack with pid 1038022 completed with status 10
% 0.21/0.35 % Starting new_ho_10_unif with 31s (1) cores
% 0.21/0.35 % new_ho_10_unif with pid 1038030 completed with status 10
% 0.21/0.35 % Starting sh5l with 28s (1) cores
% 0.21/0.35 % sh5l with pid 1038034 completed with status 10
% 0.21/0.35 % Starting new_bool_1 with 28s (1) cores
% 0.21/0.35 % new_bool_1 with pid 1038044 completed with status 0
% 0.21/0.35 % Result found by new_bool_1
% 0.21/0.35 % partial match(1): HSMSSMSSSSSNFFN
% 0.21/0.35 % Preprocessing class: HSMSSMSSSSSNSFN.
% 0.21/0.35 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.35 % Starting new_ho_10 with 1500s (5) cores
% 0.21/0.35 % Starting new_bool_1 with 300s (1) cores
% 0.21/0.35 % Starting full_lambda_5 with 300s (1) cores
% 0.21/0.35 % Starting new_ho_10_unif with 300s (1) cores
% 0.21/0.35 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.21/0.35 % No SInE strategy applied
% 0.21/0.35 % Search class: HUUPF-FFSM11-SSFFFFNN
% 0.21/0.35 % partial match(2): HUUPF-FFSF11-SFFFFFNN
% 0.21/0.35 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.35 % Starting SubtermCWHack with 28s (1) cores
% 0.21/0.35 % SubtermCWHack with pid 1038022 completed with status 10
% 0.21/0.35 % Starting new_ho_10_unif with 31s (1) cores
% 0.21/0.35 % new_ho_10_unif with pid 1038030 completed with status 10
% 0.21/0.35 % Starting sh5l with 28s (1) cores
% 0.21/0.35 % sh5l with pid 1038034 completed with status 10
% 0.21/0.35 % Starting new_bool_1 with 28s (1) cores
% 0.21/0.35 % Preprocessing time : 0.001 s
% 0.21/0.35 % Presaturation interreduction done
% 0.21/0.35
% 0.21/0.35 % Proof found!
% 0.21/0.35 % SZS status ContradictoryAxioms
% 0.21/0.35 % SZS output start CNFRefutation
% See solution above
% 0.21/0.35 % Parsed axioms : 46
% 0.21/0.35 % Removed by relevancy pruning/SinE : 0
% 0.21/0.35 % Initial clauses : 46
% 0.21/0.35 % Removed in clause preprocessing : 26
% 0.21/0.35 % Initial clauses in saturation : 20
% 0.21/0.35 % Processed clauses : 791
% 0.21/0.35 % ...of these trivial : 0
% 0.21/0.35 % ...subsumed : 289
% 0.21/0.35 % ...remaining for further processing : 502
% 0.21/0.35 % Other redundant clauses eliminated : 0
% 0.21/0.35 % Clauses deleted for lack of memory : 0
% 0.21/0.35 % Backward-subsumed : 275
% 0.21/0.35 % Backward-rewritten : 94
% 0.21/0.35 % Generated clauses : 1836
% 0.21/0.35 % ...of the previous two non-redundant : 1256
% 0.21/0.35 % ...aggressively subsumed : 0
% 0.21/0.35 % Contextual simplify-reflections : 126
% 0.21/0.35 % Paramodulations : 1157
% 0.21/0.35 % Factorizations : 0
% 0.21/0.35 % NegExts : 20
% 0.21/0.35 % Equation resolutions : 0
% 0.21/0.35 % Disequality decompositions : 0
% 0.21/0.35 % Total rewrite steps : 102
% 0.21/0.35 % ...of those cached : 85
% 0.21/0.35 % Propositional unsat checks : 0
% 0.21/0.35 % Propositional check models : 0
% 0.21/0.35 % Propositional check unsatisfiable : 0
% 0.21/0.35 % Propositional clauses : 0
% 0.21/0.35 % Propositional clauses after purity: 0
% 0.21/0.35 % Propositional unsat core size : 0
% 0.21/0.35 % Propositional preprocessing time : 0.000
% 0.21/0.35 % Propositional encoding time : 0.000
% 0.21/0.35 % Propositional solver time : 0.000
% 0.21/0.35 % Success case prop preproc time : 0.000
% 0.21/0.35 % Success case prop encoding time : 0.000
% 0.21/0.35 % Success case prop solver time : 0.000
% 0.21/0.35 % Current number of processed clauses : 69
% 0.21/0.35 % Positive orientable unit clauses : 17
% 0.21/0.35 % Positive unorientable unit clauses: 0
% 0.21/0.35 % Negative unit clauses : 27
% 0.21/0.35 % Non-unit-clauses : 25
% 0.21/0.35 % Current number of unprocessed clauses: 246
% 0.21/0.35 % ...number of literals in the above : 1343
% 0.21/0.35 % Current number of archived formulas : 0
% 0.21/0.35 % Current number of archived clauses : 433
% 0.21/0.35 % Clause-clause subsumption calls (NU) : 13826
% 0.21/0.35 % Rec. Clause-clause subsumption calls : 1970
% 0.21/0.35 % Non-unit clause-clause subsumptions : 573
% 0.21/0.35 % Unit Clause-clause subsumption calls : 680
% 0.21/0.35 % Rewrite failures with RHS unbound : 0
% 0.21/0.35 % BW rewrite match attempts : 7
% 0.21/0.35 % BW rewrite match successes : 7
% 0.21/0.35 % Condensation attempts : 0
% 0.21/0.35 % Condensation successes : 0
% 0.21/0.35 % Termbank termtop insertions : 28928
% 0.21/0.35 % Search garbage collected termcells : 41
% 0.21/0.35
% 0.21/0.35 % -------------------------------------------------
% 0.21/0.35 % User time : 0.087 s
% 0.21/0.35 % System time : 0.010 s
% 0.21/0.35 % Total time : 0.097 s
% 0.21/0.35 % Maximum resident set size: 3648 pages
% 0.21/0.35
% 0.21/0.35 % -------------------------------------------------
% 0.21/0.35 % User time : 0.099 s
% 0.21/0.35 % System time : 0.028 s
% 0.21/0.35 % Total time : 0.127 s
% 0.21/0.35 % Maximum resident set size: 4864 pages
% 0.21/0.35 % E exiting
%------------------------------------------------------------------------------