%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SEU080+1 : TPTP v9.2.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n004.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 : Tue May 5 05:10:36 PM UTC 2026
% Result : Theorem 0.29s 1.61s
% Output : CNFRefutation 0.50s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named 87)
% Comments :
%------------------------------------------------------------------------------
fof(antisymmetry_r2_hidden,axiom,
! [X1,X2] :
( in(X1,X2)
=> ~ in(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
fof(rc1_subset_1,axiom,
! [X1] :
( ~ empty(X1)
=> ? [X2] :
( element(X2,powerset(X1))
& ~ empty(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_subset_1) ).
fof(fc6_relat_1,axiom,
! [X1] :
( ( ~ empty(X1)
& relation(X1) )
=> ~ empty(relation_rng(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc6_relat_1) ).
fof(t161_funct_1,conjecture,
! [X1,X2,X3] :
( ( relation(X3)
& function(X3) )
=> ( ( relation_inverse_image(X3,X1) = relation_inverse_image(X3,X2)
& subset(X1,relation_rng(X3))
& subset(X2,relation_rng(X3)) )
=> X1 = X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t161_funct_1) ).
fof(fc1_subset_1,axiom,
! [X1] : ~ empty(powerset(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_subset_1) ).
fof(rc2_xboole_0,axiom,
? [X1] : ~ empty(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_xboole_0) ).
fof(rc2_relat_1,axiom,
? [X1] :
( ~ empty(X1)
& relation(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_relat_1) ).
fof(t158_funct_1,axiom,
! [X1,X2,X3] :
( ( relation(X3)
& function(X3) )
=> ( ( subset(relation_inverse_image(X3,X1),relation_inverse_image(X3,X2))
& subset(X1,relation_rng(X3)) )
=> subset(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t158_funct_1) ).
fof(t4_subset,axiom,
! [X1,X2,X3] :
( ( in(X1,X2)
& element(X2,powerset(X3)) )
=> element(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_subset) ).
fof(t5_subset,axiom,
! [X1,X2,X3] :
~ ( in(X1,X2)
& element(X2,powerset(X3))
& empty(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_subset) ).
fof(d10_xboole_0,axiom,
! [X1,X2] :
( X1 = X2
<=> ( subset(X1,X2)
& subset(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d10_xboole_0) ).
fof(t3_subset,axiom,
! [X1,X2] :
( element(X1,powerset(X2))
<=> subset(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_subset) ).
fof(t2_subset,axiom,
! [X1,X2] :
( element(X1,X2)
=> ( empty(X2)
| in(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_subset) ).
fof(t1_subset,axiom,
! [X1,X2] :
( in(X1,X2)
=> element(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_subset) ).
fof(t7_boole,axiom,
! [X1,X2] :
~ ( in(X1,X2)
& empty(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_boole) ).
fof(rc2_subset_1,axiom,
! [X1] :
? [X2] :
( element(X2,powerset(X1))
& empty(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_subset_1) ).
fof(cc2_funct_1,axiom,
! [X1] :
( ( relation(X1)
& empty(X1)
& function(X1) )
=> ( relation(X1)
& function(X1)
& one_to_one(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc2_funct_1) ).
fof(existence_m1_subset_1,axiom,
! [X1] :
? [X2] : element(X2,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_subset_1) ).
fof(fc8_relat_1,axiom,
! [X1] :
( empty(X1)
=> ( empty(relation_rng(X1))
& relation(relation_rng(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc8_relat_1) ).
fof(t8_boole,axiom,
! [X1,X2] :
~ ( empty(X1)
& X1 != X2
& empty(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_boole) ).
fof(reflexivity_r1_tarski,axiom,
! [X1,X2] : subset(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(cc1_relat_1,axiom,
! [X1] :
( empty(X1)
=> relation(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_relat_1) ).
fof(cc1_funct_1,axiom,
! [X1] :
( empty(X1)
=> function(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_funct_1) ).
fof(t6_boole,axiom,
! [X1] :
( empty(X1)
=> X1 = empty_set ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_boole) ).
fof(rc3_relat_1,axiom,
? [X1] :
( relation(X1)
& relation_empty_yielding(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc3_relat_1) ).
fof(rc3_funct_1,axiom,
? [X1] :
( relation(X1)
& function(X1)
& one_to_one(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc3_funct_1) ).
fof(rc2_funct_1,axiom,
? [X1] :
( relation(X1)
& empty(X1)
& function(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_funct_1) ).
fof(rc1_relat_1,axiom,
? [X1] :
( empty(X1)
& relation(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_relat_1) ).
fof(rc1_funct_1,axiom,
? [X1] :
( relation(X1)
& function(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_funct_1) ).
fof(rc1_xboole_0,axiom,
? [X1] : empty(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_xboole_0) ).
fof(fc12_relat_1,axiom,
( empty(empty_set)
& relation(empty_set)
& relation_empty_yielding(empty_set) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc12_relat_1) ).
fof(fc4_relat_1,axiom,
( empty(empty_set)
& relation(empty_set) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc4_relat_1) ).
fof(fc1_xboole_0,axiom,
empty(empty_set),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_xboole_0) ).
fof(i_0_33,plain,
! [X1,X2] :
( in(X1,X2)
=> ~ in(X2,X1) ),
inference(fof_simplification,[status(thm)],[antisymmetry_r2_hidden]) ).
fof(i_0_34,plain,
! [X1] :
( ~ empty(X1)
=> ? [X2] :
( element(X2,powerset(X1))
& ~ empty(X2) ) ),
inference(fof_simplification,[status(thm)],[rc1_subset_1]) ).
fof(i_0_35,plain,
! [X1] :
( ( ~ empty(X1)
& relation(X1) )
=> ~ empty(relation_rng(X1)) ),
inference(fof_simplification,[status(thm)],[fc6_relat_1]) ).
fof(i_0_36,negated_conjecture,
~ ! [X1,X2,X3] :
( ( relation(X3)
& function(X3) )
=> ( ( relation_inverse_image(X3,X1) = relation_inverse_image(X3,X2)
& subset(X1,relation_rng(X3))
& subset(X2,relation_rng(X3)) )
=> X1 = X2 ) ),
inference(assume_negation,[status(cth)],[t161_funct_1]) ).
fof(i_0_37,plain,
! [X1] : ~ empty(powerset(X1)),
inference(fof_simplification,[status(thm)],[fc1_subset_1]) ).
fof(i_0_38,plain,
? [X1] : ~ empty(X1),
inference(fof_simplification,[status(thm)],[rc2_xboole_0]) ).
fof(i_0_39,plain,
? [X1] :
( ~ empty(X1)
& relation(X1) ),
inference(fof_simplification,[status(thm)],[rc2_relat_1]) ).
fof(i_0_40,plain,
! [X78,X79,X80] :
( ~ relation(X80)
| ~ function(X80)
| ~ subset(relation_inverse_image(X80,X78),relation_inverse_image(X80,X79))
| ~ subset(X78,relation_rng(X80))
| subset(X78,X79) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t158_funct_1])]) ).
fof(i_0_41,plain,
! [X90,X91,X92] :
( ~ in(X90,X91)
| ~ element(X91,powerset(X92))
| element(X90,X92) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t4_subset])]) ).
fof(i_0_42,plain,
! [X93,X94,X95] :
( ~ in(X93,X94)
| ~ element(X94,powerset(X95))
| ~ empty(X95) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t5_subset])]) ).
fof(i_0_43,plain,
! [X58,X59] :
( ( subset(X58,X59)
| X58 != X59 )
& ( subset(X59,X58)
| X58 != X59 )
& ( ~ subset(X58,X59)
| ~ subset(X59,X58)
| X58 = X59 ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d10_xboole_0])])]) ).
fof(i_0_44,plain,
! [X88,X89] :
( ( ~ element(X88,powerset(X89))
| subset(X88,X89) )
& ( ~ subset(X88,X89)
| element(X88,powerset(X89)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_subset])]) ).
fof(i_0_45,plain,
! [X53,X54] :
( ~ in(X53,X54)
| ~ in(X54,X53) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_33])]) ).
fof(i_0_46,plain,
! [X86,X87] :
( ~ element(X86,X87)
| empty(X87)
| in(X86,X87) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])]) ).
fof(i_0_47,plain,
! [X84,X85] :
( ~ in(X84,X85)
| element(X84,X85) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_subset])]) ).
fof(i_0_48,plain,
! [X67] :
( ( element(esk4_1(X67),powerset(X67))
| empty(X67) )
& ( ~ empty(esk4_1(X67))
| empty(X67) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_34])])])]) ).
fof(i_0_49,plain,
! [X97,X98] :
( ~ in(X97,X98)
| ~ empty(X98) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t7_boole])]) ).
fof(i_0_50,plain,
! [X63] :
( empty(X63)
| ~ relation(X63)
| ~ empty(relation_rng(X63)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_35])]) ).
fof(i_0_51,plain,
! [X72] :
( element(esk8_1(X72),powerset(X72))
& empty(esk8_1(X72)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc2_subset_1])]) ).
fof(i_0_52,plain,
! [X57] :
( ( relation(X57)
| ~ relation(X57)
| ~ empty(X57)
| ~ function(X57) )
& ( function(X57)
| ~ relation(X57)
| ~ empty(X57)
| ~ function(X57) )
& ( one_to_one(X57)
| ~ relation(X57)
| ~ empty(X57)
| ~ function(X57) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc2_funct_1])])]) ).
fof(i_0_53,negated_conjecture,
( relation(esk14_0)
& function(esk14_0)
& relation_inverse_image(esk14_0,esk12_0) = relation_inverse_image(esk14_0,esk13_0)
& subset(esk12_0,relation_rng(esk14_0))
& subset(esk13_0,relation_rng(esk14_0))
& esk12_0 != esk13_0 ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_36])])]) ).
fof(i_0_54,plain,
! [X60] : element(esk1_1(X60),X60),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[existence_m1_subset_1])]) ).
fof(i_0_55,plain,
! [X64] :
( ( empty(relation_rng(X64))
| ~ empty(X64) )
& ( relation(relation_rng(X64))
| ~ empty(X64) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc8_relat_1])])]) ).
fof(i_0_56,plain,
! [X62] : ~ empty(powerset(X62)),
inference(variable_rename,[status(thm)],[i_0_37]) ).
fof(i_0_57,plain,
! [X99,X100] :
( ~ empty(X99)
| X99 = X100
| ~ empty(X100) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t8_boole])]) ).
fof(i_0_58,plain,
! [X77] : subset(X77,X77),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[reflexivity_r1_tarski])]) ).
fof(i_0_59,plain,
! [X56] :
( ~ empty(X56)
| relation(X56) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_relat_1])]) ).
fof(i_0_60,plain,
! [X55] :
( ~ empty(X55)
| function(X55) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_funct_1])]) ).
fof(i_0_61,plain,
! [X96] :
( ~ empty(X96)
| X96 = empty_set ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t6_boole])]) ).
fof(i_0_62,plain,
~ empty(esk9_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[i_0_38])]) ).
fof(i_0_63,plain,
( ~ empty(esk7_0)
& relation(esk7_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[i_0_39])]) ).
fof(i_0_64,plain,
( relation(esk11_0)
& relation_empty_yielding(esk11_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc3_relat_1])]) ).
fof(i_0_65,plain,
( relation(esk10_0)
& function(esk10_0)
& one_to_one(esk10_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc3_funct_1])]) ).
fof(i_0_66,plain,
( relation(esk6_0)
& empty(esk6_0)
& function(esk6_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc2_funct_1])]) ).
fof(i_0_67,plain,
( empty(esk3_0)
& relation(esk3_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc1_relat_1])]) ).
fof(i_0_68,plain,
( relation(esk2_0)
& function(esk2_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc1_funct_1])]) ).
fof(i_0_69,plain,
empty(esk5_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc1_xboole_0])]) ).
cnf(i_0_70,plain,
( subset(X2,X3)
| ~ relation(X1)
| ~ function(X1)
| ~ subset(relation_inverse_image(X1,X2),relation_inverse_image(X1,X3))
| ~ subset(X2,relation_rng(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_40]),
[final] ).
cnf(i_0_71,plain,
( element(X1,X3)
| ~ in(X1,X2)
| ~ element(X2,powerset(X3)) ),
inference(split_conjunct,[status(thm)],[i_0_41]),
[final] ).
cnf(i_0_72,plain,
( ~ in(X1,X2)
| ~ element(X2,powerset(X3))
| ~ empty(X3) ),
inference(split_conjunct,[status(thm)],[i_0_42]),
[final] ).
cnf(i_0_73,plain,
( X1 = X2
| ~ subset(X1,X2)
| ~ subset(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_43]),
[final] ).
cnf(i_0_74,plain,
( subset(X1,X2)
| ~ element(X1,powerset(X2)) ),
inference(split_conjunct,[status(thm)],[i_0_44]),
[final] ).
cnf(i_0_75,plain,
( ~ in(X1,X2)
| ~ in(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_45]),
[final] ).
cnf(i_0_76,plain,
( element(X1,powerset(X2))
| ~ subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_44]),
[final] ).
cnf(i_0_77,plain,
( empty(X2)
| in(X1,X2)
| ~ element(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_46]),
[final] ).
cnf(i_0_78,plain,
( element(X1,X2)
| ~ in(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_47]),
[final] ).
cnf(i_0_79,plain,
( element(esk4_1(X1),powerset(X1))
| empty(X1) ),
inference(split_conjunct,[status(thm)],[i_0_48]),
[final] ).
cnf(i_0_80,plain,
( ~ in(X1,X2)
| ~ empty(X2) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_81,plain,
( empty(X1)
| ~ relation(X1)
| ~ empty(relation_rng(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_82,plain,
element(esk8_1(X1),powerset(X1)),
inference(split_conjunct,[status(thm)],[i_0_51]),
[final] ).
cnf(i_0_83,plain,
( one_to_one(X1)
| ~ relation(X1)
| ~ empty(X1)
| ~ function(X1) ),
inference(split_conjunct,[status(thm)],[i_0_52]),
[final] ).
cnf(i_0_84,negated_conjecture,
relation_inverse_image(esk14_0,esk12_0) = relation_inverse_image(esk14_0,esk13_0),
inference(split_conjunct,[status(thm)],[i_0_53]),
[final] ).
cnf(i_0_85,plain,
( empty(X1)
| ~ empty(esk4_1(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_48]),
[final] ).
cnf(i_0_86,plain,
element(esk1_1(X1),X1),
inference(split_conjunct,[status(thm)],[i_0_54]),
[final] ).
cnf(i_0_87,plain,
( subset(X1,X2)
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[i_0_43]),
[final] ).
cnf(i_0_88,plain,
( subset(X1,X2)
| X2 != X1 ),
inference(split_conjunct,[status(thm)],[i_0_43]),
[final] ).
cnf(i_0_89,plain,
( relation(relation_rng(X1))
| ~ empty(X1) ),
inference(split_conjunct,[status(thm)],[i_0_55]),
[final] ).
cnf(i_0_90,plain,
( empty(relation_rng(X1))
| ~ empty(X1) ),
inference(split_conjunct,[status(thm)],[i_0_55]),
[final] ).
cnf(i_0_91,plain,
~ empty(powerset(X1)),
inference(split_conjunct,[status(thm)],[i_0_56]),
[final] ).
cnf(i_0_92,plain,
( X1 = X2
| ~ empty(X1)
| ~ empty(X2) ),
inference(split_conjunct,[status(thm)],[i_0_57]),
[final] ).
cnf(i_0_93,negated_conjecture,
subset(esk13_0,relation_rng(esk14_0)),
inference(split_conjunct,[status(thm)],[i_0_53]),
[final] ).
cnf(i_0_94,negated_conjecture,
subset(esk12_0,relation_rng(esk14_0)),
inference(split_conjunct,[status(thm)],[i_0_53]),
[final] ).
cnf(i_0_95,plain,
subset(X1,X1),
inference(split_conjunct,[status(thm)],[i_0_58]),
[final] ).
cnf(i_0_96,plain,
( relation(X1)
| ~ empty(X1) ),
inference(split_conjunct,[status(thm)],[i_0_59]),
[final] ).
cnf(i_0_97,plain,
( function(X1)
| ~ empty(X1) ),
inference(split_conjunct,[status(thm)],[i_0_60]),
[final] ).
cnf(i_0_98,plain,
empty(esk8_1(X1)),
inference(split_conjunct,[status(thm)],[i_0_51]),
[final] ).
cnf(i_0_99,plain,
( X1 = empty_set
| ~ empty(X1) ),
inference(split_conjunct,[status(thm)],[i_0_61]),
[final] ).
cnf(i_0_100,plain,
~ empty(esk9_0),
inference(split_conjunct,[status(thm)],[i_0_62]),
[final] ).
cnf(i_0_101,plain,
~ empty(esk7_0),
inference(split_conjunct,[status(thm)],[i_0_63]),
[final] ).
cnf(i_0_102,plain,
relation_empty_yielding(esk11_0),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_103,plain,
relation_empty_yielding(empty_set),
inference(split_conjunct,[status(thm)],[fc12_relat_1]),
[final] ).
cnf(i_0_104,plain,
one_to_one(esk10_0),
inference(split_conjunct,[status(thm)],[i_0_65]),
[final] ).
cnf(i_0_105,negated_conjecture,
relation(esk14_0),
inference(split_conjunct,[status(thm)],[i_0_53]),
[final] ).
cnf(i_0_106,plain,
relation(esk11_0),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_107,plain,
relation(esk10_0),
inference(split_conjunct,[status(thm)],[i_0_65]),
[final] ).
cnf(i_0_108,plain,
relation(esk7_0),
inference(split_conjunct,[status(thm)],[i_0_63]),
[final] ).
cnf(i_0_109,plain,
relation(esk6_0),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_110,plain,
relation(esk3_0),
inference(split_conjunct,[status(thm)],[i_0_67]),
[final] ).
cnf(i_0_111,plain,
relation(esk2_0),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_112,plain,
relation(empty_set),
inference(split_conjunct,[status(thm)],[fc4_relat_1]),
[final] ).
cnf(i_0_113,plain,
relation(empty_set),
inference(split_conjunct,[status(thm)],[fc12_relat_1]),
[final] ).
cnf(i_0_114,negated_conjecture,
function(esk14_0),
inference(split_conjunct,[status(thm)],[i_0_53]),
[final] ).
cnf(i_0_115,plain,
function(esk10_0),
inference(split_conjunct,[status(thm)],[i_0_65]),
[final] ).
cnf(i_0_116,plain,
function(esk6_0),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_117,plain,
function(esk2_0),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_118,plain,
empty(esk6_0),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_119,plain,
empty(esk5_0),
inference(split_conjunct,[status(thm)],[i_0_69]),
[final] ).
cnf(i_0_120,plain,
empty(esk3_0),
inference(split_conjunct,[status(thm)],[i_0_67]),
[final] ).
cnf(i_0_121,plain,
empty(empty_set),
inference(split_conjunct,[status(thm)],[fc4_relat_1]),
[final] ).
cnf(i_0_122,plain,
empty(empty_set),
inference(split_conjunct,[status(thm)],[fc1_xboole_0]),
[final] ).
cnf(i_0_123,plain,
empty(empty_set),
inference(split_conjunct,[status(thm)],[fc12_relat_1]),
[final] ).
cnf(i_0_124,negated_conjecture,
esk12_0 != esk13_0,
inference(split_conjunct,[status(thm)],[i_0_53]),
[final] ).
cnf(i_0_125,axiom,
X1 = X1 ).
cnf(i_0_126,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_127,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_128,axiom,
( X1 != X2
| relation_inverse_image(X1,X3) = relation_inverse_image(X2,X3) ) ).
cnf(i_0_129,axiom,
( X1 != X2
| relation_inverse_image(X3,X1) = relation_inverse_image(X3,X2) ) ).
cnf(i_0_130,axiom,
( X1 != X2
| ~ subset(X1,X3)
| subset(X2,X3) ) ).
cnf(i_0_131,axiom,
( X1 != X2
| ~ subset(X3,X1)
| subset(X3,X2) ) ).
cnf(i_0_132,axiom,
( X1 != X2
| ~ relation(X1)
| relation(X2) ) ).
cnf(i_0_133,axiom,
( X1 != X2
| ~ function(X1)
| function(X2) ) ).
cnf(i_0_134,axiom,
( X1 != X2
| ~ element(X1,X3)
| element(X2,X3) ) ).
cnf(i_0_135,axiom,
( X1 != X2
| ~ element(X3,X1)
| element(X3,X2) ) ).
cnf(i_0_136,axiom,
( X1 != X2
| ~ in(X1,X3)
| in(X2,X3) ) ).
cnf(i_0_137,axiom,
( X1 != X2
| ~ in(X3,X1)
| in(X3,X2) ) ).
cnf(i_0_138,axiom,
( X1 != X2
| ~ empty(X1)
| empty(X2) ) ).
cnf(i_0_139,axiom,
( X1 != X2
| ~ one_to_one(X1)
| one_to_one(X2) ) ).
cnf(i_0_140,axiom,
( X1 != X2
| ~ relation_empty_yielding(X1)
| relation_empty_yielding(X2) ) ).
cnf(i_0_125_001,axiom,
X1 = X1 ).
cnf(i_0_126_002,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_127_003,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_128_004,axiom,
( X1 != X2
| relation_inverse_image(X1,X3) = relation_inverse_image(X2,X3) ) ).
cnf(i_0_129_005,axiom,
( X1 != X2
| relation_inverse_image(X3,X1) = relation_inverse_image(X3,X2) ) ).
cnf(i_0_130_006,axiom,
( X1 != X2
| ~ subset(X1,X3)
| subset(X2,X3) ) ).
cnf(i_0_131_007,axiom,
( X1 != X2
| ~ subset(X3,X1)
| subset(X3,X2) ) ).
cnf(i_0_132_008,axiom,
( X1 != X2
| ~ relation(X1)
| relation(X2) ) ).
cnf(i_0_133_009,axiom,
( X1 != X2
| ~ function(X1)
| function(X2) ) ).
cnf(i_0_134_010,axiom,
( X1 != X2
| ~ element(X1,X3)
| element(X2,X3) ) ).
cnf(i_0_135_011,axiom,
( X1 != X2
| ~ element(X3,X1)
| element(X3,X2) ) ).
cnf(i_0_136_012,axiom,
( X1 != X2
| ~ in(X1,X3)
| in(X2,X3) ) ).
cnf(i_0_137_013,axiom,
( X1 != X2
| ~ in(X3,X1)
| in(X3,X2) ) ).
cnf(i_0_138_014,axiom,
( X1 != X2
| ~ empty(X1)
| empty(X2) ) ).
cnf(i_0_139_015,axiom,
( X1 != X2
| ~ one_to_one(X1)
| one_to_one(X2) ) ).
cnf(i_0_140_016,axiom,
( X1 != X2
| ~ relation_empty_yielding(X1)
| relation_empty_yielding(X2) ) ).
cnf(i_0_141,plain,
subset(X1,X1),
inference(equality_inference,[],[87]) ).
cnf(i_0_142,plain,
subset(X1,X1),
inference(equality_inference,[],[88]) ).
cnf(i_0_143,plain,
subset(relation_inverse_image(esk14_0,esk12_0),relation_inverse_image(esk14_0,esk13_0)),
inference(scs_inference,[],[i_0_84,i_0_87]) ).
cnf(i_0_144,plain,
( X1 != X2
| subset(X1,X2) ),
inference(rename_variables,[],[i_0_87]) ).
cnf(i_0_145,plain,
subset(relation_inverse_image(esk14_0,esk13_0),relation_inverse_image(esk14_0,esk12_0)),
inference(scs_inference,[],[i_0_84,i_0_87,i_0_88]) ).
cnf(i_0_146,plain,
( X1 != X2
| subset(X2,X1) ),
inference(rename_variables,[],[i_0_88]) ).
cnf(i_0_147,plain,
relation_inverse_image(esk14_0,esk13_0) = relation_inverse_image(esk14_0,esk12_0),
inference(scs_inference,[],[i_0_84,i_0_87,i_0_88,i_0_126]) ).
cnf(i_0_148,plain,
subset(esk8_1(X1),X1),
inference(scs_inference,[],[i_0_84,i_0_82,i_0_87,i_0_88,i_0_126,i_0_74]) ).
cnf(i_0_149,plain,
( ~ element(X1,powerset(X2))
| subset(X1,X2) ),
inference(rename_variables,[],[i_0_74]) ).
cnf(i_0_150,plain,
~ in(X1,esk6_0),
inference(scs_inference,[],[i_0_84,i_0_82,i_0_118,i_0_87,i_0_88,i_0_126,i_0_74,i_0_80]) ).
cnf(i_0_151,plain,
( ~ empty(X1)
| ~ in(X2,X1) ),
inference(rename_variables,[],[i_0_80]) ).
cnf(i_0_152,plain,
relation(esk5_0),
inference(scs_inference,[],[i_0_84,i_0_82,i_0_118,i_0_119,i_0_87,i_0_88,i_0_126,i_0_74,i_0_80,i_0_96]) ).
cnf(i_0_153,plain,
( ~ empty(X1)
| relation(X1) ),
inference(rename_variables,[],[i_0_96]) ).
cnf(i_0_154,plain,
function(esk5_0),
inference(scs_inference,[],[i_0_84,i_0_82,i_0_118,i_0_119,i_0_87,i_0_88,i_0_126,i_0_74,i_0_80,i_0_96,i_0_97]) ).
cnf(i_0_155,plain,
( ~ empty(X1)
| function(X1) ),
inference(rename_variables,[],[i_0_97]) ).
cnf(i_0_156,plain,
esk6_0 != esk9_0,
inference(scs_inference,[],[i_0_84,i_0_82,i_0_100,i_0_118,i_0_119,i_0_87,i_0_88,i_0_126,i_0_74,i_0_80,i_0_96,i_0_97,i_0_138]) ).
cnf(i_0_157,plain,
~ in(X1,esk8_1(esk6_0)),
inference(scs_inference,[],[i_0_84,i_0_82,i_0_100,i_0_118,i_0_119,i_0_87,i_0_88,i_0_126,i_0_74,i_0_80,i_0_96,i_0_97,i_0_138,i_0_72]) ).
cnf(i_0_158,plain,
element(esk8_1(X1),powerset(X1)),
inference(rename_variables,[],[i_0_82]) ).
cnf(i_0_159,plain,
( ~ element(X1,powerset(X2))
| ~ empty(X2)
| ~ in(X3,X1) ),
inference(rename_variables,[],[i_0_72]) ).
cnf(i_0_160,plain,
in(esk8_1(X1),powerset(X1)),
inference(scs_inference,[],[i_0_84,i_0_82,i_0_158,i_0_100,i_0_118,i_0_119,i_0_91,i_0_87,i_0_88,i_0_126,i_0_74,i_0_80,i_0_96,i_0_97,i_0_138,i_0_72,i_0_77]) ).
cnf(i_0_161,plain,
element(esk8_1(X1),powerset(X1)),
inference(rename_variables,[],[i_0_82]) ).
cnf(i_0_162,plain,
( ~ element(X1,X2)
| empty(X2)
| in(X1,X2) ),
inference(rename_variables,[],[i_0_77]) ).
cnf(i_0_163,plain,
one_to_one(esk6_0),
inference(scs_inference,[],[i_0_84,i_0_82,i_0_158,i_0_100,i_0_109,i_0_116,i_0_118,i_0_119,i_0_91,i_0_87,i_0_88,i_0_126,i_0_74,i_0_80,i_0_96,i_0_97,i_0_138,i_0_72,i_0_77,i_0_83]) ).
cnf(i_0_164,plain,
( ~ relation(X1)
| ~ empty(X1)
| ~ function(X1)
| one_to_one(X1) ),
inference(rename_variables,[],[i_0_83]) ).
cnf(i_0_165,plain,
subset(esk12_0,esk13_0),
inference(scs_inference,[],[i_0_84,i_0_105,i_0_114,i_0_94,i_0_82,i_0_158,i_0_100,i_0_109,i_0_116,i_0_118,i_0_119,i_0_91,i_0_87,i_0_88,i_0_126,i_0_74,i_0_80,i_0_96,i_0_97,i_0_138,i_0_72,i_0_77,i_0_83,i_0_70]) ).
cnf(i_0_166,plain,
( ~ subset(relation_inverse_image(X1,X2),relation_inverse_image(X1,X3))
| ~ subset(X2,relation_rng(X1))
| ~ function(X1)
| subset(X2,X3)
| ~ relation(X1) ),
inference(rename_variables,[],[i_0_70]) ).
cnf(i_0_167,plain,
~ in(powerset(X1),esk8_1(X1)),
inference(scs_inference,[],[i_0_84,i_0_105,i_0_114,i_0_94,i_0_82,i_0_158,i_0_100,i_0_109,i_0_116,i_0_118,i_0_119,i_0_91,i_0_87,i_0_88,i_0_126,i_0_74,i_0_80,i_0_96,i_0_97,i_0_138,i_0_72,i_0_77,i_0_83,i_0_70,i_0_75]) ).
cnf(i_0_168,plain,
( ~ in(X1,X2)
| ~ in(X2,X1) ),
inference(rename_variables,[],[i_0_75]) ).
cnf(i_0_169,plain,
( relation(X1)
| esk14_0 != X1 ),
inference(scs_inference,[],[i_0_84,i_0_105,i_0_114,i_0_94,i_0_82,i_0_158,i_0_100,i_0_109,i_0_116,i_0_118,i_0_119,i_0_91,i_0_87,i_0_88,i_0_126,i_0_74,i_0_80,i_0_96,i_0_97,i_0_138,i_0_72,i_0_77,i_0_83,i_0_70,i_0_75,i_0_132]) ).
cnf(i_0_170,plain,
powerset(X1) != esk6_0,
inference(scs_inference,[],[i_0_84,i_0_105,i_0_114,i_0_94,i_0_82,i_0_158,i_0_100,i_0_109,i_0_116,i_0_118,i_0_119,i_0_91,i_0_87,i_0_88,i_0_126,i_0_74,i_0_80,i_0_96,i_0_97,i_0_138,i_0_72,i_0_77,i_0_83,i_0_70,i_0_75,i_0_132,i_0_137]) ).
cnf(i_0_171,plain,
~ subset(esk13_0,esk12_0),
inference(scs_inference,[],[i_0_84,i_0_105,i_0_114,i_0_124,i_0_94,i_0_82,i_0_158,i_0_100,i_0_109,i_0_116,i_0_118,i_0_119,i_0_91,i_0_87,i_0_88,i_0_126,i_0_74,i_0_80,i_0_96,i_0_97,i_0_138,i_0_72,i_0_77,i_0_83,i_0_70,i_0_75,i_0_132,i_0_137,i_0_73]) ).
cnf(i_0_172,plain,
( ~ subset(X1,X2)
| ~ subset(X2,X1)
| X1 = X2 ),
inference(rename_variables,[],[i_0_73]) ).
cnf(i_0_173,plain,
relation_rng(esk14_0) != esk12_0,
inference(scs_inference,[],[i_0_84,i_0_105,i_0_114,i_0_124,i_0_93,i_0_94,i_0_82,i_0_158,i_0_100,i_0_109,i_0_116,i_0_118,i_0_119,i_0_91,i_0_87,i_0_88,i_0_126,i_0_74,i_0_80,i_0_96,i_0_97,i_0_138,i_0_72,i_0_77,i_0_83,i_0_70,i_0_75,i_0_132,i_0_137,i_0_73,i_0_131]) ).
cnf(i_0_174,plain,
( function(X1)
| esk14_0 != X1 ),
inference(scs_inference,[],[i_0_84,i_0_105,i_0_114,i_0_124,i_0_93,i_0_94,i_0_82,i_0_158,i_0_100,i_0_109,i_0_116,i_0_118,i_0_119,i_0_91,i_0_87,i_0_88,i_0_126,i_0_74,i_0_80,i_0_96,i_0_97,i_0_138,i_0_72,i_0_77,i_0_83,i_0_70,i_0_75,i_0_132,i_0_137,i_0_73,i_0_131,i_0_133]) ).
cnf(i_0_175,plain,
( X1 != powerset(X2)
| ~ in(X1,esk8_1(X2)) ),
inference(scs_inference,[],[i_0_84,i_0_105,i_0_114,i_0_124,i_0_93,i_0_94,i_0_82,i_0_158,i_0_100,i_0_109,i_0_116,i_0_118,i_0_119,i_0_91,i_0_87,i_0_88,i_0_126,i_0_74,i_0_80,i_0_96,i_0_97,i_0_138,i_0_72,i_0_77,i_0_83,i_0_70,i_0_75,i_0_132,i_0_137,i_0_73,i_0_131,i_0_133,i_0_136]) ).
cnf(i_0_176,plain,
( one_to_one(X1)
| esk10_0 != X1 ),
inference(scs_inference,[],[i_0_84,i_0_105,i_0_114,i_0_124,i_0_93,i_0_94,i_0_82,i_0_158,i_0_100,i_0_104,i_0_109,i_0_116,i_0_118,i_0_119,i_0_91,i_0_87,i_0_88,i_0_126,i_0_74,i_0_80,i_0_96,i_0_97,i_0_138,i_0_72,i_0_77,i_0_83,i_0_70,i_0_75,i_0_132,i_0_137,i_0_73,i_0_131,i_0_133,i_0_136,i_0_139]) ).
cnf(i_0_177,plain,
( relation_empty_yielding(X1)
| esk11_0 != X1 ),
inference(scs_inference,[],[i_0_84,i_0_105,i_0_114,i_0_124,i_0_93,i_0_94,i_0_82,i_0_158,i_0_100,i_0_102,i_0_104,i_0_109,i_0_116,i_0_118,i_0_119,i_0_91,i_0_87,i_0_88,i_0_126,i_0_74,i_0_80,i_0_96,i_0_97,i_0_138,i_0_72,i_0_77,i_0_83,i_0_70,i_0_75,i_0_132,i_0_137,i_0_73,i_0_131,i_0_133,i_0_136,i_0_139,i_0_140]) ).
cnf(i_0_178,plain,
( element(X1,X2)
| ~ in(X1,esk8_1(X2)) ),
inference(scs_inference,[],[i_0_84,i_0_105,i_0_114,i_0_124,i_0_93,i_0_94,i_0_82,i_0_158,i_0_161,i_0_100,i_0_102,i_0_104,i_0_109,i_0_116,i_0_118,i_0_119,i_0_91,i_0_87,i_0_88,i_0_126,i_0_74,i_0_80,i_0_96,i_0_97,i_0_138,i_0_72,i_0_77,i_0_83,i_0_70,i_0_75,i_0_132,i_0_137,i_0_73,i_0_131,i_0_133,i_0_136,i_0_139,i_0_140,i_0_71]) ).
cnf(i_0_179,plain,
( ~ element(X1,powerset(X2))
| element(X3,X2)
| ~ in(X3,X1) ),
inference(rename_variables,[],[i_0_71]) ).
cnf(i_0_180,plain,
relation(esk14_0),
inference(equality_inference,[],[169]) ).
cnf(i_0_181,plain,
function(esk14_0),
inference(equality_inference,[],[174]) ).
cnf(i_0_182,plain,
~ in(powerset(X1),esk8_1(X1)),
inference(equality_inference,[],[175]) ).
cnf(i_0_183,plain,
one_to_one(esk10_0),
inference(equality_inference,[],[176]) ).
cnf(i_0_184,plain,
relation_empty_yielding(esk11_0),
inference(equality_inference,[],[177]) ).
cnf(i_0_185,plain,
subset(esk1_1(powerset(X1)),X1),
inference(scs_inference,[],[i_0_86,i_0_74]) ).
cnf(i_0_186,plain,
element(esk1_1(X1),X1),
inference(rename_variables,[],[i_0_86]) ).
cnf(i_0_187,plain,
( ~ element(X1,powerset(X2))
| subset(X1,X2) ),
inference(rename_variables,[],[i_0_74]) ).
cnf(i_0_188,plain,
~ in(X1,esk3_0),
inference(scs_inference,[],[i_0_86,i_0_120,i_0_74,i_0_80]) ).
cnf(i_0_189,plain,
( ~ empty(X1)
| ~ in(X2,X1) ),
inference(rename_variables,[],[i_0_80]) ).
cnf(i_0_190,plain,
relation(esk8_1(X1)),
inference(scs_inference,[],[i_0_86,i_0_120,i_0_98,i_0_74,i_0_80,i_0_96]) ).
cnf(i_0_191,plain,
( ~ empty(X1)
| relation(X1) ),
inference(rename_variables,[],[i_0_96]) ).
cnf(i_0_192,plain,
function(esk3_0),
inference(scs_inference,[],[i_0_86,i_0_120,i_0_98,i_0_74,i_0_80,i_0_96,i_0_97]) ).
cnf(i_0_193,plain,
( ~ empty(X1)
| function(X1) ),
inference(rename_variables,[],[i_0_97]) ).
cnf(i_0_194,plain,
in(esk1_1(esk7_0),esk7_0),
inference(scs_inference,[],[i_0_86,i_0_186,i_0_101,i_0_120,i_0_98,i_0_74,i_0_80,i_0_96,i_0_97,i_0_77]) ).
cnf(i_0_195,plain,
element(esk1_1(X1),X1),
inference(rename_variables,[],[i_0_86]) ).
cnf(i_0_196,plain,
( ~ element(X1,X2)
| empty(X2)
| in(X1,X2) ),
inference(rename_variables,[],[i_0_77]) ).
cnf(i_0_197,plain,
~ in(X1,esk1_1(powerset(esk3_0))),
inference(scs_inference,[],[i_0_86,i_0_186,i_0_195,i_0_101,i_0_120,i_0_98,i_0_74,i_0_80,i_0_96,i_0_97,i_0_77,i_0_72]) ).
cnf(i_0_198,plain,
element(esk1_1(X1),X1),
inference(rename_variables,[],[i_0_86]) ).
cnf(i_0_199,plain,
( ~ element(X1,powerset(X2))
| ~ empty(X2)
| ~ in(X3,X1) ),
inference(rename_variables,[],[i_0_72]) ).
cnf(i_0_200,plain,
powerset(X1) != esk8_1(esk6_0),
inference(scs_inference,[],[i_0_160,i_0_157,i_0_86,i_0_186,i_0_195,i_0_101,i_0_120,i_0_98,i_0_74,i_0_80,i_0_96,i_0_97,i_0_77,i_0_72,i_0_137]) ).
cnf(i_0_201,plain,
~ in(X1,esk8_1(esk6_0)),
inference(rename_variables,[],[i_0_157]) ).
cnf(i_0_202,plain,
esk3_0 != esk7_0,
inference(scs_inference,[],[i_0_160,i_0_157,i_0_86,i_0_186,i_0_195,i_0_101,i_0_120,i_0_98,i_0_74,i_0_80,i_0_96,i_0_97,i_0_77,i_0_72,i_0_137,i_0_138]) ).
cnf(i_0_203,plain,
one_to_one(esk3_0),
inference(scs_inference,[],[i_0_160,i_0_157,i_0_86,i_0_186,i_0_195,i_0_101,i_0_110,i_0_120,i_0_98,i_0_74,i_0_80,i_0_96,i_0_97,i_0_77,i_0_72,i_0_137,i_0_138,i_0_83]) ).
cnf(i_0_204,plain,
( ~ relation(X1)
| ~ empty(X1)
| ~ function(X1)
| one_to_one(X1) ),
inference(rename_variables,[],[i_0_83]) ).
cnf(i_0_205,plain,
$false,
inference(scs_inference,[],[i_0_93,i_0_105,i_0_114,i_0_145,i_0_160,i_0_157,i_0_86,i_0_186,i_0_195,i_0_101,i_0_110,i_0_120,i_0_171,i_0_98,i_0_74,i_0_80,i_0_96,i_0_97,i_0_77,i_0_72,i_0_137,i_0_138,i_0_83,i_0_70]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU080+1 : TPTP v9.2.1. Released v3.2.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.14/0.32 % Computer : n004.cluster.edu
% 0.14/0.32 % Model : x86_64 x86_64
% 0.14/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32 % Memory : 8042.1875MB
% 0.14/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.32 % CPULimit : 300
% 0.14/0.32 % WCLimit : 300
% 0.14/0.32 % DateTime : Tue May 5 02:43:02 EDT 2026
% 0.14/0.33 % CPUTime :
% 0.14/0.34 % start to proof: theBenchmark
% 0.29/1.61 % Version : CSE_E---1.7
% 0.29/1.61 % Problem : theBenchmark.p
% 0.29/1.61 % SZS status Theorem for theBenchmark.p
% 0.29/1.61 % SZS output start CNFRefutation
% See solution above
% 0.50/1.84 % Total time : 1.271s
%------------------------------------------------------------------------------