%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : ALG227+1 : TPTP v9.2.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n001.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 04:08:19 PM UTC 2026
% Result : Theorem 0.31s 1.63s
% Output : CNFRefutation 0.49s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named 61)
% Comments :
%------------------------------------------------------------------------------
fof(fraenkel_a_2_0_closure3,axiom,
! [X1,X2,X3] :
( ( ~ v1_xboole_0(X2)
& m1_pboole(X3,X2) )
=> ( r2_hidden(X1,a_2_0_closure3(X2,X3))
<=> ? [X4] :
( m1_subset_1(X4,X2)
& X1 = X4
& k1_funct_1(X3,X4) != k1_xboole_0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fraenkel_a_2_0_closure3) ).
fof(d3_closure3,axiom,
! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( m1_pboole(X2,X1)
=> ! [X3] :
( X3 = k1_closure3(X1,X2)
<=> X3 = a_2_0_closure3(X1,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_closure3) ).
fof(t8_closure3,conjecture,
! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( m1_pboole(X2,X1)
=> ! [X3] :
( m1_subset_1(X3,X1)
=> ( ~ r2_hidden(X3,k1_closure3(X1,X2))
=> k1_funct_1(X2,X3) = k1_xboole_0 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_closure3) ).
fof(antisymmetry_r2_hidden,axiom,
! [X1,X2] :
( r2_hidden(X1,X2)
=> ~ r2_hidden(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
fof(rc2_xboole_0,axiom,
? [X1] : ~ v1_xboole_0(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_xboole_0) ).
fof(rc1_finset_1,axiom,
? [X1] :
( ~ v1_xboole_0(X1)
& v1_finset_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_finset_1) ).
fof(t2_tarski,axiom,
! [X1,X2] :
( ! [X3] :
( r2_hidden(X3,X1)
<=> r2_hidden(X3,X2) )
=> X1 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_tarski) ).
fof(t2_subset,axiom,
! [X1,X2] :
( m1_subset_1(X1,X2)
=> ( v1_xboole_0(X2)
| r2_hidden(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).
fof(t1_subset,axiom,
! [X1,X2] :
( r2_hidden(X1,X2)
=> m1_subset_1(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_subset) ).
fof(t7_boole,axiom,
! [X1,X2] :
~ ( r2_hidden(X1,X2)
& v1_xboole_0(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_boole) ).
fof(dt_m1_pboole,axiom,
! [X1,X2] :
( m1_pboole(X2,X1)
=> ( v1_relat_1(X2)
& v1_funct_1(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_pboole) ).
fof(cc2_funct_1,axiom,
! [X1] :
( ( v1_relat_1(X1)
& v1_xboole_0(X1)
& v1_funct_1(X1) )
=> ( v1_relat_1(X1)
& v1_funct_1(X1)
& v2_funct_1(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc2_funct_1) ).
fof(existence_m1_subset_1,axiom,
! [X1] :
? [X2] : m1_subset_1(X2,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_subset_1) ).
fof(existence_m1_pboole,axiom,
! [X1] :
? [X2] : m1_pboole(X2,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_pboole) ).
fof(t8_boole,axiom,
! [X1,X2] :
~ ( v1_xboole_0(X1)
& X1 != X2
& v1_xboole_0(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_boole) ).
fof(cc1_funct_1,axiom,
! [X1] :
( v1_xboole_0(X1)
=> v1_funct_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_funct_1) ).
fof(cc1_finset_1,axiom,
! [X1] :
( v1_xboole_0(X1)
=> v1_finset_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_finset_1) ).
fof(cc1_closure2,axiom,
! [X1] :
( v1_xboole_0(X1)
=> v1_fraenkel(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_closure2) ).
fof(t6_boole,axiom,
! [X1] :
( v1_xboole_0(X1)
=> X1 = k1_xboole_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_boole) ).
fof(rc3_funct_1,axiom,
? [X1] :
( v1_relat_1(X1)
& v1_funct_1(X1)
& v2_funct_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc3_funct_1) ).
fof(rc1_closure2,axiom,
? [X1] :
( v1_xboole_0(X1)
& v1_relat_1(X1)
& v1_funct_1(X1)
& v2_funct_1(X1)
& v1_finset_1(X1)
& v1_fraenkel(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_closure2) ).
fof(rc2_funct_1,axiom,
? [X1] :
( v1_relat_1(X1)
& v1_xboole_0(X1)
& v1_funct_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_funct_1) ).
fof(rc1_funct_1,axiom,
? [X1] :
( v1_relat_1(X1)
& v1_funct_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_funct_1) ).
fof(rc1_xboole_0,axiom,
? [X1] : v1_xboole_0(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_xboole_0) ).
fof(fc1_xboole_0,axiom,
v1_xboole_0(k1_xboole_0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_xboole_0) ).
fof(i_0_25,plain,
! [X1,X2,X3] :
( ( ~ v1_xboole_0(X2)
& m1_pboole(X3,X2) )
=> ( r2_hidden(X1,a_2_0_closure3(X2,X3))
<=> ? [X4] :
( m1_subset_1(X4,X2)
& X1 = X4
& k1_funct_1(X3,X4) != k1_xboole_0 ) ) ),
inference(fof_simplification,[status(thm)],[fraenkel_a_2_0_closure3]) ).
fof(i_0_26,plain,
! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( m1_pboole(X2,X1)
=> ! [X3] :
( X3 = k1_closure3(X1,X2)
<=> X3 = a_2_0_closure3(X1,X2) ) ) ),
inference(fof_simplification,[status(thm)],[d3_closure3]) ).
fof(i_0_27,negated_conjecture,
~ ! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( m1_pboole(X2,X1)
=> ! [X3] :
( m1_subset_1(X3,X1)
=> ( ~ r2_hidden(X3,k1_closure3(X1,X2))
=> k1_funct_1(X2,X3) = k1_xboole_0 ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t8_closure3])]) ).
fof(i_0_28,plain,
! [X1,X2] :
( r2_hidden(X1,X2)
=> ~ r2_hidden(X2,X1) ),
inference(fof_simplification,[status(thm)],[antisymmetry_r2_hidden]) ).
fof(i_0_29,plain,
? [X1] : ~ v1_xboole_0(X1),
inference(fof_simplification,[status(thm)],[rc2_xboole_0]) ).
fof(i_0_30,plain,
? [X1] :
( ~ v1_xboole_0(X1)
& v1_finset_1(X1) ),
inference(fof_simplification,[status(thm)],[rc1_finset_1]) ).
fof(i_0_31,plain,
! [X64,X65,X66,X68] :
( ( m1_subset_1(esk6_3(X64,X65,X66),X65)
| ~ r2_hidden(X64,a_2_0_closure3(X65,X66))
| v1_xboole_0(X65)
| ~ m1_pboole(X66,X65) )
& ( X64 = esk6_3(X64,X65,X66)
| ~ r2_hidden(X64,a_2_0_closure3(X65,X66))
| v1_xboole_0(X65)
| ~ m1_pboole(X66,X65) )
& ( k1_funct_1(X66,esk6_3(X64,X65,X66)) != k1_xboole_0
| ~ r2_hidden(X64,a_2_0_closure3(X65,X66))
| v1_xboole_0(X65)
| ~ m1_pboole(X66,X65) )
& ( ~ m1_subset_1(X68,X65)
| X64 != X68
| k1_funct_1(X66,X68) = k1_xboole_0
| r2_hidden(X64,a_2_0_closure3(X65,X66))
| v1_xboole_0(X65)
| ~ m1_pboole(X66,X65) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_25])])])])]) ).
fof(i_0_32,plain,
! [X80,X81] :
( ( ~ r2_hidden(esk14_2(X80,X81),X80)
| ~ r2_hidden(esk14_2(X80,X81),X81)
| X80 = X81 )
& ( r2_hidden(esk14_2(X80,X81),X80)
| r2_hidden(esk14_2(X80,X81),X81)
| X80 = X81 ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_tarski])])])]) ).
fof(i_0_33,plain,
! [X55,X56,X57] :
( ( X57 != k1_closure3(X55,X56)
| X57 = a_2_0_closure3(X55,X56)
| ~ m1_pboole(X56,X55)
| v1_xboole_0(X55) )
& ( X57 != a_2_0_closure3(X55,X56)
| X57 = k1_closure3(X55,X56)
| ~ m1_pboole(X56,X55)
| v1_xboole_0(X55) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_26])])])]) ).
fof(i_0_34,negated_conjecture,
( ~ v1_xboole_0(esk1_0)
& m1_pboole(esk2_0,esk1_0)
& m1_subset_1(esk3_0,esk1_0)
& ~ r2_hidden(esk3_0,k1_closure3(esk1_0,esk2_0))
& k1_funct_1(esk2_0,esk3_0) != k1_xboole_0 ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_27])])]) ).
fof(i_0_35,plain,
! [X49,X50] :
( ~ r2_hidden(X49,X50)
| ~ r2_hidden(X50,X49) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_28])]) ).
fof(i_0_36,plain,
! [X78,X79] :
( ~ m1_subset_1(X78,X79)
| v1_xboole_0(X79)
| r2_hidden(X78,X79) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])]) ).
fof(i_0_37,plain,
! [X76,X77] :
( ~ r2_hidden(X76,X77)
| m1_subset_1(X76,X77) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_subset])]) ).
fof(i_0_38,plain,
! [X84,X85] :
( ~ r2_hidden(X84,X85)
| ~ v1_xboole_0(X85) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t7_boole])]) ).
fof(i_0_39,plain,
! [X58,X59] :
( ( v1_relat_1(X59)
| ~ m1_pboole(X59,X58) )
& ( v1_funct_1(X59)
| ~ m1_pboole(X59,X58) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m1_pboole])])]) ).
fof(i_0_40,plain,
! [X54] :
( ( v1_relat_1(X54)
| ~ v1_relat_1(X54)
| ~ v1_xboole_0(X54)
| ~ v1_funct_1(X54) )
& ( v1_funct_1(X54)
| ~ v1_relat_1(X54)
| ~ v1_xboole_0(X54)
| ~ v1_funct_1(X54) )
& ( v2_funct_1(X54)
| ~ v1_relat_1(X54)
| ~ v1_xboole_0(X54)
| ~ v1_funct_1(X54) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc2_funct_1])])]) ).
fof(i_0_41,plain,
! [X62] : m1_subset_1(esk5_1(X62),X62),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[existence_m1_subset_1])]) ).
fof(i_0_42,plain,
! [X60] : m1_pboole(esk4_1(X60),X60),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[existence_m1_pboole])]) ).
fof(i_0_43,plain,
! [X86,X87] :
( ~ v1_xboole_0(X86)
| X86 = X87
| ~ v1_xboole_0(X87) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t8_boole])]) ).
fof(i_0_44,plain,
! [X53] :
( ~ v1_xboole_0(X53)
| v1_funct_1(X53) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_funct_1])]) ).
fof(i_0_45,plain,
! [X52] :
( ~ v1_xboole_0(X52)
| v1_finset_1(X52) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_finset_1])]) ).
fof(i_0_46,plain,
! [X51] :
( ~ v1_xboole_0(X51)
| v1_fraenkel(X51) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_closure2])]) ).
fof(i_0_47,plain,
! [X83] :
( ~ v1_xboole_0(X83)
| X83 = k1_xboole_0 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t6_boole])]) ).
fof(i_0_48,plain,
~ v1_xboole_0(esk12_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[i_0_29])]) ).
fof(i_0_49,plain,
( ~ v1_xboole_0(esk8_0)
& v1_finset_1(esk8_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[i_0_30])]) ).
fof(i_0_50,plain,
( v1_relat_1(esk13_0)
& v1_funct_1(esk13_0)
& v2_funct_1(esk13_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc3_funct_1])]) ).
fof(i_0_51,plain,
( v1_xboole_0(esk7_0)
& v1_relat_1(esk7_0)
& v1_funct_1(esk7_0)
& v2_funct_1(esk7_0)
& v1_finset_1(esk7_0)
& v1_fraenkel(esk7_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc1_closure2])]) ).
fof(i_0_52,plain,
( v1_relat_1(esk11_0)
& v1_xboole_0(esk11_0)
& v1_funct_1(esk11_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc2_funct_1])]) ).
fof(i_0_53,plain,
( v1_relat_1(esk9_0)
& v1_funct_1(esk9_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc1_funct_1])]) ).
fof(i_0_54,plain,
v1_xboole_0(esk10_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc1_xboole_0])]) ).
cnf(i_0_55,plain,
( v1_xboole_0(X3)
| k1_funct_1(X1,esk6_3(X2,X3,X1)) != k1_xboole_0
| ~ r2_hidden(X2,a_2_0_closure3(X3,X1))
| ~ m1_pboole(X1,X3) ),
inference(split_conjunct,[status(thm)],[i_0_31]),
[final] ).
cnf(i_0_56,plain,
( m1_subset_1(esk6_3(X1,X2,X3),X2)
| v1_xboole_0(X2)
| ~ r2_hidden(X1,a_2_0_closure3(X2,X3))
| ~ m1_pboole(X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_31]),
[final] ).
cnf(i_0_57,plain,
( X1 = esk6_3(X1,X2,X3)
| v1_xboole_0(X2)
| ~ r2_hidden(X1,a_2_0_closure3(X2,X3))
| ~ m1_pboole(X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_31]),
[final] ).
cnf(i_0_58,plain,
( X1 = X2
| ~ r2_hidden(esk14_2(X1,X2),X1)
| ~ r2_hidden(esk14_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[i_0_32]),
[final] ).
cnf(i_0_59,plain,
( k1_funct_1(X4,X1) = k1_xboole_0
| r2_hidden(X3,a_2_0_closure3(X2,X4))
| v1_xboole_0(X2)
| ~ m1_subset_1(X1,X2)
| X3 != X1
| ~ m1_pboole(X4,X2) ),
inference(split_conjunct,[status(thm)],[i_0_31]),
[final] ).
cnf(i_0_60,plain,
( r2_hidden(esk14_2(X1,X2),X1)
| r2_hidden(esk14_2(X1,X2),X2)
| X1 = X2 ),
inference(split_conjunct,[status(thm)],[i_0_32]),
[final] ).
cnf(i_0_61,plain,
( X1 = a_2_0_closure3(X2,X3)
| v1_xboole_0(X2)
| X1 != k1_closure3(X2,X3)
| ~ m1_pboole(X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_33]),
[final] ).
cnf(i_0_62,plain,
( X1 = k1_closure3(X2,X3)
| v1_xboole_0(X2)
| X1 != a_2_0_closure3(X2,X3)
| ~ m1_pboole(X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_33]),
[final] ).
cnf(i_0_63,negated_conjecture,
~ r2_hidden(esk3_0,k1_closure3(esk1_0,esk2_0)),
inference(split_conjunct,[status(thm)],[i_0_34]),
[final] ).
cnf(i_0_64,plain,
( ~ r2_hidden(X1,X2)
| ~ r2_hidden(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_35]),
[final] ).
cnf(i_0_65,plain,
( v1_xboole_0(X2)
| r2_hidden(X1,X2)
| ~ m1_subset_1(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_36]),
[final] ).
cnf(i_0_66,plain,
( m1_subset_1(X1,X2)
| ~ r2_hidden(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_37]),
[final] ).
cnf(i_0_67,plain,
( ~ r2_hidden(X1,X2)
| ~ v1_xboole_0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_38]),
[final] ).
cnf(i_0_68,plain,
( v1_relat_1(X1)
| ~ m1_pboole(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_39]),
[final] ).
cnf(i_0_69,plain,
( v1_funct_1(X1)
| ~ m1_pboole(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_39]),
[final] ).
cnf(i_0_70,plain,
( v2_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_xboole_0(X1)
| ~ v1_funct_1(X1) ),
inference(split_conjunct,[status(thm)],[i_0_40]),
[final] ).
cnf(i_0_71,plain,
m1_subset_1(esk5_1(X1),X1),
inference(split_conjunct,[status(thm)],[i_0_41]),
[final] ).
cnf(i_0_72,plain,
m1_pboole(esk4_1(X1),X1),
inference(split_conjunct,[status(thm)],[i_0_42]),
[final] ).
cnf(i_0_73,negated_conjecture,
k1_funct_1(esk2_0,esk3_0) != k1_xboole_0,
inference(split_conjunct,[status(thm)],[i_0_34]),
[final] ).
cnf(i_0_74,plain,
( X1 = X2
| ~ v1_xboole_0(X1)
| ~ v1_xboole_0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_43]),
[final] ).
cnf(i_0_75,plain,
( v1_funct_1(X1)
| ~ v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_44]),
[final] ).
cnf(i_0_76,plain,
( v1_finset_1(X1)
| ~ v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_45]),
[final] ).
cnf(i_0_77,plain,
( v1_fraenkel(X1)
| ~ v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_46]),
[final] ).
cnf(i_0_78,negated_conjecture,
m1_subset_1(esk3_0,esk1_0),
inference(split_conjunct,[status(thm)],[i_0_34]),
[final] ).
cnf(i_0_79,negated_conjecture,
m1_pboole(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[i_0_34]),
[final] ).
cnf(i_0_80,plain,
( X1 = k1_xboole_0
| ~ v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_47]),
[final] ).
cnf(i_0_81,plain,
~ v1_xboole_0(esk12_0),
inference(split_conjunct,[status(thm)],[i_0_48]),
[final] ).
cnf(i_0_82,plain,
~ v1_xboole_0(esk8_0),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_83,negated_conjecture,
~ v1_xboole_0(esk1_0),
inference(split_conjunct,[status(thm)],[i_0_34]),
[final] ).
cnf(i_0_84,plain,
v2_funct_1(esk13_0),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_85,plain,
v2_funct_1(esk7_0),
inference(split_conjunct,[status(thm)],[i_0_51]),
[final] ).
cnf(i_0_86,plain,
v1_relat_1(esk13_0),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_87,plain,
v1_relat_1(esk11_0),
inference(split_conjunct,[status(thm)],[i_0_52]),
[final] ).
cnf(i_0_88,plain,
v1_relat_1(esk9_0),
inference(split_conjunct,[status(thm)],[i_0_53]),
[final] ).
cnf(i_0_89,plain,
v1_relat_1(esk7_0),
inference(split_conjunct,[status(thm)],[i_0_51]),
[final] ).
cnf(i_0_90,plain,
v1_funct_1(esk13_0),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_91,plain,
v1_funct_1(esk11_0),
inference(split_conjunct,[status(thm)],[i_0_52]),
[final] ).
cnf(i_0_92,plain,
v1_funct_1(esk9_0),
inference(split_conjunct,[status(thm)],[i_0_53]),
[final] ).
cnf(i_0_93,plain,
v1_funct_1(esk7_0),
inference(split_conjunct,[status(thm)],[i_0_51]),
[final] ).
cnf(i_0_94,plain,
v1_finset_1(esk8_0),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_95,plain,
v1_finset_1(esk7_0),
inference(split_conjunct,[status(thm)],[i_0_51]),
[final] ).
cnf(i_0_96,plain,
v1_fraenkel(esk7_0),
inference(split_conjunct,[status(thm)],[i_0_51]),
[final] ).
cnf(i_0_97,plain,
v1_xboole_0(esk11_0),
inference(split_conjunct,[status(thm)],[i_0_52]),
[final] ).
cnf(i_0_98,plain,
v1_xboole_0(esk10_0),
inference(split_conjunct,[status(thm)],[i_0_54]),
[final] ).
cnf(i_0_99,plain,
v1_xboole_0(esk7_0),
inference(split_conjunct,[status(thm)],[i_0_51]),
[final] ).
cnf(i_0_100,plain,
v1_xboole_0(k1_xboole_0),
inference(split_conjunct,[status(thm)],[fc1_xboole_0]),
[final] ).
cnf(i_0_101,axiom,
X1 = X1 ).
cnf(i_0_102,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_103,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_104,axiom,
( X1 != X2
| k1_funct_1(X1,X3) = k1_funct_1(X2,X3) ) ).
cnf(i_0_105,axiom,
( X1 != X2
| k1_funct_1(X3,X1) = k1_funct_1(X3,X2) ) ).
cnf(i_0_106,axiom,
( X1 != X2
| esk6_3(X1,X3,X4) = esk6_3(X2,X3,X4) ) ).
cnf(i_0_107,axiom,
( X1 != X2
| esk6_3(X3,X1,X4) = esk6_3(X3,X2,X4) ) ).
cnf(i_0_108,axiom,
( X1 != X2
| esk6_3(X3,X4,X1) = esk6_3(X3,X4,X2) ) ).
cnf(i_0_109,axiom,
( X1 != X2
| a_2_0_closure3(X1,X3) = a_2_0_closure3(X2,X3) ) ).
cnf(i_0_110,axiom,
( X1 != X2
| a_2_0_closure3(X3,X1) = a_2_0_closure3(X3,X2) ) ).
cnf(i_0_111,axiom,
( X1 != X2
| k1_closure3(X1,X3) = k1_closure3(X2,X3) ) ).
cnf(i_0_112,axiom,
( X1 != X2
| k1_closure3(X3,X1) = k1_closure3(X3,X2) ) ).
cnf(i_0_113,axiom,
( X1 != X2
| ~ v1_xboole_0(X1)
| v1_xboole_0(X2) ) ).
cnf(i_0_114,axiom,
( X1 != X2
| ~ r2_hidden(X1,X3)
| r2_hidden(X2,X3) ) ).
cnf(i_0_115,axiom,
( X1 != X2
| ~ r2_hidden(X3,X1)
| r2_hidden(X3,X2) ) ).
cnf(i_0_116,axiom,
( X1 != X2
| ~ m1_pboole(X1,X3)
| m1_pboole(X2,X3) ) ).
cnf(i_0_117,axiom,
( X1 != X2
| ~ m1_pboole(X3,X1)
| m1_pboole(X3,X2) ) ).
cnf(i_0_118,axiom,
( X1 != X2
| ~ m1_subset_1(X1,X3)
| m1_subset_1(X2,X3) ) ).
cnf(i_0_119,axiom,
( X1 != X2
| ~ m1_subset_1(X3,X1)
| m1_subset_1(X3,X2) ) ).
cnf(i_0_120,axiom,
( X1 != X2
| ~ v1_relat_1(X1)
| v1_relat_1(X2) ) ).
cnf(i_0_121,axiom,
( X1 != X2
| ~ v1_funct_1(X1)
| v1_funct_1(X2) ) ).
cnf(i_0_122,axiom,
( X1 != X2
| ~ v2_funct_1(X1)
| v2_funct_1(X2) ) ).
cnf(i_0_123,axiom,
( X1 != X2
| ~ v1_finset_1(X1)
| v1_finset_1(X2) ) ).
cnf(i_0_124,axiom,
( X1 != X2
| ~ v1_fraenkel(X1)
| v1_fraenkel(X2) ) ).
cnf(i_0_101_001,axiom,
X1 = X1 ).
cnf(i_0_102_002,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_103_003,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_104_004,axiom,
( X1 != X2
| k1_funct_1(X1,X3) = k1_funct_1(X2,X3) ) ).
cnf(i_0_105_005,axiom,
( X1 != X2
| k1_funct_1(X3,X1) = k1_funct_1(X3,X2) ) ).
cnf(i_0_106_006,axiom,
( X1 != X2
| esk6_3(X1,X3,X4) = esk6_3(X2,X3,X4) ) ).
cnf(i_0_107_007,axiom,
( X1 != X2
| esk6_3(X3,X1,X4) = esk6_3(X3,X2,X4) ) ).
cnf(i_0_108_008,axiom,
( X1 != X2
| esk6_3(X3,X4,X1) = esk6_3(X3,X4,X2) ) ).
cnf(i_0_109_009,axiom,
( X1 != X2
| a_2_0_closure3(X1,X3) = a_2_0_closure3(X2,X3) ) ).
cnf(i_0_110_010,axiom,
( X1 != X2
| a_2_0_closure3(X3,X1) = a_2_0_closure3(X3,X2) ) ).
cnf(i_0_111_011,axiom,
( X1 != X2
| k1_closure3(X1,X3) = k1_closure3(X2,X3) ) ).
cnf(i_0_112_012,axiom,
( X1 != X2
| k1_closure3(X3,X1) = k1_closure3(X3,X2) ) ).
cnf(i_0_113_013,axiom,
( X1 != X2
| ~ v1_xboole_0(X1)
| v1_xboole_0(X2) ) ).
cnf(i_0_114_014,axiom,
( X1 != X2
| ~ r2_hidden(X1,X3)
| r2_hidden(X2,X3) ) ).
cnf(i_0_115_015,axiom,
( X1 != X2
| ~ r2_hidden(X3,X1)
| r2_hidden(X3,X2) ) ).
cnf(i_0_116_016,axiom,
( X1 != X2
| ~ m1_pboole(X1,X3)
| m1_pboole(X2,X3) ) ).
cnf(i_0_117_017,axiom,
( X1 != X2
| ~ m1_pboole(X3,X1)
| m1_pboole(X3,X2) ) ).
cnf(i_0_118_018,axiom,
( X1 != X2
| ~ m1_subset_1(X1,X3)
| m1_subset_1(X2,X3) ) ).
cnf(i_0_119_019,axiom,
( X1 != X2
| ~ m1_subset_1(X3,X1)
| m1_subset_1(X3,X2) ) ).
cnf(i_0_120_020,axiom,
( X1 != X2
| ~ v1_relat_1(X1)
| v1_relat_1(X2) ) ).
cnf(i_0_121_021,axiom,
( X1 != X2
| ~ v1_funct_1(X1)
| v1_funct_1(X2) ) ).
cnf(i_0_122_022,axiom,
( X1 != X2
| ~ v2_funct_1(X1)
| v2_funct_1(X2) ) ).
cnf(i_0_123_023,axiom,
( X1 != X2
| ~ v1_finset_1(X1)
| v1_finset_1(X2) ) ).
cnf(i_0_124_024,axiom,
( X1 != X2
| ~ v1_fraenkel(X1)
| v1_fraenkel(X2) ) ).
cnf(i_0_125,plain,
( v1_xboole_0(X1)
| ~ m1_subset_1(X2,X1)
| ~ m1_pboole(X3,X1)
| r2_hidden(X2,a_2_0_closure3(X1,X3))
| k1_funct_1(X3,X2) = k1_xboole_0 ),
inference(equality_inference,[],[59]) ).
cnf(i_0_126,plain,
( v1_xboole_0(X1)
| ~ m1_pboole(X2,X1)
| k1_closure3(X1,X2) = a_2_0_closure3(X1,X2) ),
inference(equality_inference,[],[61]) ).
cnf(i_0_127,plain,
( v1_xboole_0(X1)
| ~ m1_pboole(X2,X1)
| a_2_0_closure3(X1,X2) = k1_closure3(X1,X2) ),
inference(equality_inference,[],[62]) ).
cnf(i_0_128,plain,
~ r2_hidden(X1,esk11_0),
inference(scs_inference,[],[i_0_97,i_0_67]) ).
cnf(i_0_129,plain,
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X2,X1) ),
inference(rename_variables,[],[i_0_67]) ).
cnf(i_0_130,plain,
~ v1_xboole_0(k1_funct_1(esk2_0,esk3_0)),
inference(scs_inference,[],[i_0_73,i_0_97,i_0_67,i_0_80]) ).
cnf(i_0_131,plain,
( X1 = k1_xboole_0
| ~ v1_xboole_0(X1) ),
inference(rename_variables,[],[i_0_80]) ).
cnf(i_0_132,plain,
v1_funct_1(esk10_0),
inference(scs_inference,[],[i_0_73,i_0_97,i_0_98,i_0_67,i_0_80,i_0_75]) ).
cnf(i_0_133,plain,
( ~ v1_xboole_0(X1)
| v1_funct_1(X1) ),
inference(rename_variables,[],[i_0_75]) ).
cnf(i_0_134,plain,
v1_finset_1(esk11_0),
inference(scs_inference,[],[i_0_73,i_0_97,i_0_98,i_0_67,i_0_80,i_0_75,i_0_76]) ).
cnf(i_0_135,plain,
( ~ v1_xboole_0(X1)
| v1_finset_1(X1) ),
inference(rename_variables,[],[i_0_76]) ).
cnf(i_0_136,plain,
v1_fraenkel(esk11_0),
inference(scs_inference,[],[i_0_73,i_0_97,i_0_98,i_0_67,i_0_80,i_0_75,i_0_76,i_0_77]) ).
cnf(i_0_137,plain,
( ~ v1_xboole_0(X1)
| v1_fraenkel(X1) ),
inference(rename_variables,[],[i_0_77]) ).
cnf(i_0_138,plain,
r2_hidden(esk3_0,esk1_0),
inference(scs_inference,[],[i_0_78,i_0_83,i_0_73,i_0_97,i_0_98,i_0_67,i_0_80,i_0_75,i_0_76,i_0_77,i_0_65]) ).
cnf(i_0_139,plain,
( ~ m1_subset_1(X1,X2)
| v1_xboole_0(X2)
| r2_hidden(X1,X2) ),
inference(rename_variables,[],[i_0_65]) ).
cnf(i_0_140,plain,
esk11_0 != esk1_0,
inference(scs_inference,[],[i_0_78,i_0_83,i_0_73,i_0_97,i_0_98,i_0_67,i_0_80,i_0_75,i_0_76,i_0_77,i_0_65,i_0_113]) ).
cnf(i_0_141,plain,
esk1_0 != k1_closure3(esk1_0,esk2_0),
inference(scs_inference,[],[i_0_63,i_0_78,i_0_83,i_0_73,i_0_97,i_0_98,i_0_67,i_0_80,i_0_75,i_0_76,i_0_77,i_0_65,i_0_113,i_0_115]) ).
cnf(i_0_142,plain,
v2_funct_1(esk11_0),
inference(scs_inference,[],[i_0_63,i_0_78,i_0_83,i_0_73,i_0_87,i_0_91,i_0_97,i_0_98,i_0_67,i_0_80,i_0_75,i_0_76,i_0_77,i_0_65,i_0_113,i_0_115,i_0_70]) ).
cnf(i_0_143,plain,
( ~ v1_relat_1(X1)
| ~ v1_xboole_0(X1)
| ~ v1_funct_1(X1)
| v2_funct_1(X1) ),
inference(rename_variables,[],[i_0_70]) ).
cnf(i_0_144,plain,
r2_hidden(esk3_0,a_2_0_closure3(esk1_0,esk2_0)),
inference(scs_inference,[],[i_0_63,i_0_78,i_0_79,i_0_83,i_0_73,i_0_87,i_0_91,i_0_97,i_0_98,i_0_67,i_0_80,i_0_75,i_0_76,i_0_77,i_0_65,i_0_113,i_0_115,i_0_70,i_0_125]) ).
cnf(i_0_145,plain,
( k1_funct_1(X1,X2) = k1_xboole_0
| r2_hidden(X2,a_2_0_closure3(X3,X1))
| v1_xboole_0(X3)
| ~ m1_subset_1(X2,X3)
| ~ m1_pboole(X1,X3) ),
inference(rename_variables,[],[i_0_125]) ).
cnf(i_0_146,plain,
~ r2_hidden(esk1_0,esk3_0),
inference(scs_inference,[],[i_0_63,i_0_78,i_0_79,i_0_83,i_0_73,i_0_87,i_0_91,i_0_97,i_0_98,i_0_67,i_0_80,i_0_75,i_0_76,i_0_77,i_0_65,i_0_113,i_0_115,i_0_70,i_0_125,i_0_64]) ).
cnf(i_0_147,plain,
( ~ r2_hidden(X1,X2)
| ~ r2_hidden(X2,X1) ),
inference(rename_variables,[],[i_0_64]) ).
cnf(i_0_148,plain,
m1_subset_1(esk3_0,a_2_0_closure3(esk1_0,esk2_0)),
inference(scs_inference,[],[i_0_63,i_0_78,i_0_79,i_0_83,i_0_73,i_0_87,i_0_91,i_0_97,i_0_98,i_0_67,i_0_80,i_0_75,i_0_76,i_0_77,i_0_65,i_0_113,i_0_115,i_0_70,i_0_125,i_0_64,i_0_66]) ).
cnf(i_0_149,plain,
( ~ r2_hidden(X1,X2)
| m1_subset_1(X1,X2) ),
inference(rename_variables,[],[i_0_66]) ).
cnf(i_0_150,plain,
( X1 != esk3_0
| ~ r2_hidden(X1,k1_closure3(esk1_0,esk2_0)) ),
inference(scs_inference,[],[i_0_63,i_0_78,i_0_79,i_0_83,i_0_73,i_0_87,i_0_91,i_0_97,i_0_98,i_0_67,i_0_80,i_0_75,i_0_76,i_0_77,i_0_65,i_0_113,i_0_115,i_0_70,i_0_125,i_0_64,i_0_66,i_0_114]) ).
cnf(i_0_151,plain,
m1_subset_1(esk6_3(esk3_0,esk1_0,esk2_0),esk1_0),
inference(scs_inference,[],[i_0_63,i_0_78,i_0_79,i_0_83,i_0_73,i_0_87,i_0_91,i_0_97,i_0_98,i_0_67,i_0_80,i_0_75,i_0_76,i_0_77,i_0_65,i_0_113,i_0_115,i_0_70,i_0_125,i_0_64,i_0_66,i_0_114,i_0_56]) ).
cnf(i_0_152,plain,
( ~ r2_hidden(X1,a_2_0_closure3(X2,X3))
| m1_subset_1(esk6_3(X1,X2,X3),X2)
| v1_xboole_0(X2)
| ~ m1_pboole(X3,X2) ),
inference(rename_variables,[],[i_0_56]) ).
cnf(i_0_153,plain,
esk3_0 = esk6_3(esk3_0,esk1_0,esk2_0),
inference(scs_inference,[],[i_0_63,i_0_78,i_0_79,i_0_83,i_0_73,i_0_87,i_0_91,i_0_97,i_0_98,i_0_67,i_0_80,i_0_75,i_0_76,i_0_77,i_0_65,i_0_113,i_0_115,i_0_70,i_0_125,i_0_64,i_0_66,i_0_114,i_0_56,i_0_57]) ).
cnf(i_0_154,plain,
( ~ r2_hidden(X1,a_2_0_closure3(X2,X3))
| X1 = esk6_3(X1,X2,X3)
| v1_xboole_0(X2)
| ~ m1_pboole(X3,X2) ),
inference(rename_variables,[],[i_0_57]) ).
cnf(i_0_155,plain,
esk6_3(esk3_0,esk1_0,esk2_0) = esk3_0,
inference(scs_inference,[],[i_0_63,i_0_78,i_0_79,i_0_83,i_0_73,i_0_87,i_0_91,i_0_97,i_0_98,i_0_67,i_0_80,i_0_75,i_0_76,i_0_77,i_0_65,i_0_113,i_0_115,i_0_70,i_0_125,i_0_64,i_0_66,i_0_114,i_0_56,i_0_57,i_0_102]) ).
cnf(i_0_156,plain,
( k1_closure3(esk1_0,esk2_0) = esk11_0
| esk14_2(k1_closure3(esk1_0,esk2_0),esk11_0) != esk3_0 ),
inference(scs_inference,[],[i_0_63,i_0_78,i_0_79,i_0_83,i_0_73,i_0_87,i_0_91,i_0_97,i_0_98,i_0_67,i_0_80,i_0_75,i_0_76,i_0_77,i_0_65,i_0_113,i_0_115,i_0_70,i_0_125,i_0_64,i_0_66,i_0_114,i_0_56,i_0_57,i_0_102,i_0_60]) ).
cnf(i_0_157,plain,
( r2_hidden(esk14_2(X1,X2),X1)
| r2_hidden(esk14_2(X1,X2),X2)
| X1 = X2 ),
inference(rename_variables,[],[i_0_60]) ).
cnf(i_0_158,plain,
( esk14_2(k1_closure3(esk1_0,esk2_0),esk11_0) != esk3_0
| esk13_0 != k1_closure3(esk1_0,esk2_0)
| r2_hidden(esk6_3(esk3_0,esk1_0,esk2_0),a_2_0_closure3(esk1_0,esk2_0)) ),
inference(scs_inference,[],[i_0_63,i_0_78,i_0_79,i_0_83,i_0_73,i_0_84,i_0_86,i_0_87,i_0_90,i_0_91,i_0_94,i_0_96,i_0_97,i_0_98,i_0_67,i_0_80,i_0_75,i_0_76,i_0_77,i_0_65,i_0_113,i_0_115,i_0_70,i_0_125,i_0_64,i_0_66,i_0_114,i_0_56,i_0_57,i_0_102,i_0_60,i_0_103,i_0_120,i_0_121,i_0_122,i_0_59]) ).
cnf(i_0_159,plain,
~ r2_hidden(esk3_0,k1_closure3(esk1_0,esk2_0)),
inference(equality_inference,[],[150]) ).
cnf(i_0_160,plain,
~ r2_hidden(esk6_3(esk3_0,esk1_0,esk2_0),k1_closure3(esk1_0,esk2_0)),
inference(scs_inference,[],[i_0_155,i_0_150]) ).
cnf(i_0_161,plain,
~ r2_hidden(X1,esk7_0),
inference(scs_inference,[],[i_0_155,i_0_99,i_0_150,i_0_67]) ).
cnf(i_0_162,plain,
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X2,X1) ),
inference(rename_variables,[],[i_0_67]) ).
cnf(i_0_163,plain,
~ r2_hidden(a_2_0_closure3(esk1_0,esk2_0),esk3_0),
inference(scs_inference,[],[i_0_155,i_0_144,i_0_99,i_0_150,i_0_67,i_0_64]) ).
cnf(i_0_164,plain,
( ~ r2_hidden(X1,X2)
| ~ r2_hidden(X2,X1) ),
inference(rename_variables,[],[i_0_64]) ).
cnf(i_0_165,plain,
v1_finset_1(k1_xboole_0),
inference(scs_inference,[],[i_0_155,i_0_144,i_0_99,i_0_100,i_0_150,i_0_67,i_0_64,i_0_76]) ).
cnf(i_0_166,plain,
( ~ v1_xboole_0(X1)
| v1_finset_1(X1) ),
inference(rename_variables,[],[i_0_76]) ).
cnf(i_0_167,plain,
v1_fraenkel(k1_xboole_0),
inference(scs_inference,[],[i_0_155,i_0_144,i_0_99,i_0_100,i_0_150,i_0_67,i_0_64,i_0_76,i_0_77]) ).
cnf(i_0_168,plain,
( ~ v1_xboole_0(X1)
| v1_fraenkel(X1) ),
inference(rename_variables,[],[i_0_77]) ).
cnf(i_0_169,plain,
v1_funct_1(k1_xboole_0),
inference(scs_inference,[],[i_0_155,i_0_144,i_0_99,i_0_100,i_0_150,i_0_67,i_0_64,i_0_76,i_0_77,i_0_75]) ).
cnf(i_0_170,plain,
( ~ v1_xboole_0(X1)
| v1_funct_1(X1) ),
inference(rename_variables,[],[i_0_75]) ).
cnf(i_0_171,plain,
r2_hidden(esk6_3(esk3_0,esk1_0,esk2_0),esk1_0),
inference(scs_inference,[],[i_0_83,i_0_155,i_0_144,i_0_151,i_0_99,i_0_100,i_0_150,i_0_67,i_0_64,i_0_76,i_0_77,i_0_75,i_0_65]) ).
cnf(i_0_172,plain,
( ~ m1_subset_1(X1,X2)
| v1_xboole_0(X2)
| r2_hidden(X1,X2) ),
inference(rename_variables,[],[i_0_65]) ).
cnf(i_0_173,plain,
esk7_0 = esk11_0,
inference(scs_inference,[],[i_0_83,i_0_128,i_0_155,i_0_144,i_0_151,i_0_99,i_0_100,i_0_150,i_0_67,i_0_64,i_0_76,i_0_77,i_0_75,i_0_65,i_0_60]) ).
cnf(i_0_174,plain,
~ r2_hidden(X1,esk11_0),
inference(rename_variables,[],[i_0_128]) ).
cnf(i_0_175,plain,
( r2_hidden(esk14_2(X1,X2),X1)
| r2_hidden(esk14_2(X1,X2),X2)
| X1 = X2 ),
inference(rename_variables,[],[i_0_60]) ).
cnf(i_0_176,plain,
esk7_0 != esk1_0,
inference(scs_inference,[],[i_0_83,i_0_128,i_0_155,i_0_144,i_0_151,i_0_99,i_0_100,i_0_150,i_0_67,i_0_64,i_0_76,i_0_77,i_0_75,i_0_65,i_0_60,i_0_113]) ).
cnf(i_0_177,plain,
a_2_0_closure3(esk1_0,esk2_0) != k1_closure3(esk1_0,esk2_0),
inference(scs_inference,[],[i_0_63,i_0_83,i_0_128,i_0_155,i_0_144,i_0_151,i_0_99,i_0_100,i_0_150,i_0_67,i_0_64,i_0_76,i_0_77,i_0_75,i_0_65,i_0_60,i_0_113,i_0_115]) ).
cnf(i_0_178,plain,
r2_hidden(esk6_3(esk3_0,esk1_0,esk2_0),a_2_0_closure3(esk1_0,esk2_0)),
inference(scs_inference,[],[i_0_63,i_0_78,i_0_73,i_0_79,i_0_83,i_0_128,i_0_155,i_0_144,i_0_151,i_0_99,i_0_100,i_0_150,i_0_67,i_0_64,i_0_76,i_0_77,i_0_75,i_0_65,i_0_60,i_0_113,i_0_115,i_0_59]) ).
cnf(i_0_179,plain,
( k1_funct_1(X1,X2) = k1_xboole_0
| r2_hidden(X3,a_2_0_closure3(X4,X1))
| v1_xboole_0(X4)
| ~ m1_subset_1(X2,X4)
| X3 != X2
| ~ m1_pboole(X1,X4) ),
inference(rename_variables,[],[i_0_59]) ).
cnf(i_0_180,plain,
m1_subset_1(esk6_3(esk3_0,esk1_0,esk2_0),a_2_0_closure3(esk1_0,esk2_0)),
inference(scs_inference,[],[i_0_63,i_0_78,i_0_73,i_0_79,i_0_83,i_0_128,i_0_155,i_0_144,i_0_151,i_0_99,i_0_100,i_0_150,i_0_67,i_0_64,i_0_76,i_0_77,i_0_75,i_0_65,i_0_60,i_0_113,i_0_115,i_0_59,i_0_66]) ).
cnf(i_0_181,plain,
( ~ r2_hidden(X1,X2)
| m1_subset_1(X1,X2) ),
inference(rename_variables,[],[i_0_66]) ).
cnf(i_0_182,plain,
esk11_0 = esk7_0,
inference(scs_inference,[],[i_0_63,i_0_78,i_0_73,i_0_79,i_0_83,i_0_128,i_0_155,i_0_144,i_0_151,i_0_99,i_0_100,i_0_150,i_0_67,i_0_64,i_0_76,i_0_77,i_0_75,i_0_65,i_0_60,i_0_113,i_0_115,i_0_59,i_0_66,i_0_102]) ).
cnf(i_0_183,plain,
$false,
inference(scs_inference,[],[i_0_63,i_0_78,i_0_73,i_0_79,i_0_83,i_0_128,i_0_155,i_0_144,i_0_151,i_0_99,i_0_100,i_0_150,i_0_67,i_0_64,i_0_76,i_0_77,i_0_75,i_0_65,i_0_60,i_0_113,i_0_115,i_0_59,i_0_66,i_0_102,i_0_127]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : ALG227+1 : TPTP v9.2.1. Released v3.4.0.
% 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.34 % Computer : n001.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Tue May 5 10:26:48 EDT 2026
% 0.15/0.34 % CPUTime :
% 0.15/0.35 % start to proof: theBenchmark
% 0.31/1.63 % Version : CSE_E---1.7
% 0.31/1.63 % Problem : theBenchmark.p
% 0.31/1.63 % SZS status Theorem for theBenchmark.p
% 0.31/1.63 % SZS output start CNFRefutation
% See solution above
% 0.49/1.84 % Total time : 1.274s
%------------------------------------------------------------------------------