TSTP Solution File: SWW937+1 by E-SAT---3.1
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%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : SWW937+1 : TPTP v8.1.2. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% 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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 20:12:00 EDT 2023
% Result : Theorem 17.23s 2.81s
% Output : CNFRefutation 17.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of formulae : 67 ( 24 unt; 0 def)
% Number of atoms : 209 ( 59 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 230 ( 88 ~; 83 |; 41 &)
% ( 12 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 4 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 8 con; 0-4 aty)
% Number of variables : 141 ( 4 sgn; 62 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(conjecture,conjecture,
! [X10,X25,X26,X27,X28] :
( p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(X10,cbool__00),cbool__00),c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(X10,cbool__00),cbool__00),c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(X10,cbool__00),cbool__00),X25),s__02(cfun__02(cfun__02(X10,cbool__00),cbool__00),X26))),s__02(cfun__02(cfun__02(X10,cbool__00),cbool__00),X27))),s__02(cfun__02(X10,cbool__00),X28))))
=> ? [X29,X30,X31] :
( p__01(s__02(cbool__00,c_27const_2ecfHeapsBase_2eSPLIT3_27__02(s__02(cfun__02(X10,cbool__00),X28),s__02(c_27type_2epair_2eprod_27__02(cfun__02(X10,cbool__00),c_27type_2epair_2eprod_27__02(cfun__02(X10,cbool__00),cfun__02(X10,cbool__00))),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(X10,cbool__00),X29),s__02(c_27type_2epair_2eprod_27__02(cfun__02(X10,cbool__00),cfun__02(X10,cbool__00)),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(X10,cbool__00),X30),s__02(cfun__02(X10,cbool__00),X31))))))))
& p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(X10,cbool__00),cbool__00),X25),s__02(cfun__02(X10,cbool__00),X29))))
& p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(X10,cbool__00),cbool__00),X26),s__02(cfun__02(X10,cbool__00),X30))))
& p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(X10,cbool__00),cbool__00),X27),s__02(cfun__02(X10,cbool__00),X31)))) ) ),
file('/export/starexec/sandbox/tmp/tmp.0nfwGHjTYF/E---3.1_15582.p',conjecture) ).
fof('HL_BOOL_CASES',axiom,
! [X1] :
( s__02(cbool__00,X1) = s__02(cbool__00,cT__00)
| s__02(cbool__00,X1) = s__02(cbool__00,cF__00) ),
file('/export/starexec/sandbox/tmp/tmp.0nfwGHjTYF/E---3.1_15582.p','HL_BOOL_CASES') ).
fof('HL_FALSITY',axiom,
~ p__01(s__02(cbool__00,cF__00)),
file('/export/starexec/sandbox/tmp/tmp.0nfwGHjTYF/E---3.1_15582.p','HL_FALSITY') ).
fof('thm.bool.EQ_CLAUSES',axiom,
! [X9] :
( ( s__02(cbool__00,cT__00) = s__02(cbool__00,X9)
<=> p__01(s__02(cbool__00,X9)) )
& ( s__02(cbool__00,X9) = s__02(cbool__00,cT__00)
<=> p__01(s__02(cbool__00,X9)) )
& ( s__02(cbool__00,cF__00) = s__02(cbool__00,X9)
<=> ~ p__01(s__02(cbool__00,X9)) )
& ( s__02(cbool__00,X9) = s__02(cbool__00,cF__00)
<=> ~ p__01(s__02(cbool__00,X9)) ) ),
file('/export/starexec/sandbox/tmp/tmp.0nfwGHjTYF/E---3.1_15582.p','thm.bool.EQ_CLAUSES') ).
fof('thm.set_sep.STAR_def',axiom,
! [X10,X20,X19,X6] :
( p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(X10,cbool__00),cbool__00),c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(X10,cbool__00),cbool__00),X20),s__02(cfun__02(cfun__02(X10,cbool__00),cbool__00),X19))),s__02(cfun__02(X10,cbool__00),X6))))
<=> ? [X22,X23] :
( p__01(s__02(cbool__00,c_27const_2eset__sep_2eSPLIT_27__02(s__02(cfun__02(X10,cbool__00),X6),s__02(c_27type_2epair_2eprod_27__02(cfun__02(X10,cbool__00),cfun__02(X10,cbool__00)),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(X10,cbool__00),X22),s__02(cfun__02(X10,cbool__00),X23))))))
& p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(X10,cbool__00),cbool__00),X20),s__02(cfun__02(X10,cbool__00),X22))))
& p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(X10,cbool__00),cbool__00),X19),s__02(cfun__02(X10,cbool__00),X23)))) ) ),
file('/export/starexec/sandbox/tmp/tmp.0nfwGHjTYF/E---3.1_15582.p','thm.set_sep.STAR_def') ).
fof('thm.set_sep.SPLIT_def',axiom,
! [X10,X21,X22,X23] :
( p__01(s__02(cbool__00,c_27const_2eset__sep_2eSPLIT_27__02(s__02(cfun__02(X10,cbool__00),X21),s__02(c_27type_2epair_2eprod_27__02(cfun__02(X10,cbool__00),cfun__02(X10,cbool__00)),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(X10,cbool__00),X22),s__02(cfun__02(X10,cbool__00),X23))))))
<=> ( s__02(cfun__02(X10,cbool__00),c_27const_2epred__set_2eUNION_27__02(s__02(cfun__02(X10,cbool__00),X22),s__02(cfun__02(X10,cbool__00),X23))) = s__02(cfun__02(X10,cbool__00),X21)
& p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(X10,cbool__00),X22),s__02(cfun__02(X10,cbool__00),X23)))) ) ),
file('/export/starexec/sandbox/tmp/tmp.0nfwGHjTYF/E---3.1_15582.p','thm.set_sep.SPLIT_def') ).
fof('HL_TRUTH',axiom,
p__01(s__02(cbool__00,cT__00)),
file('/export/starexec/sandbox/tmp/tmp.0nfwGHjTYF/E---3.1_15582.p','HL_TRUTH') ).
fof('thm.bool.IMP_ANTISYM_AX',axiom,
! [X7,X8] :
( ( p__01(s__02(cbool__00,X7))
=> p__01(s__02(cbool__00,X8)) )
=> ( ( p__01(s__02(cbool__00,X8))
=> p__01(s__02(cbool__00,X7)) )
=> s__02(cbool__00,X7) = s__02(cbool__00,X8) ) ),
file('/export/starexec/sandbox/tmp/tmp.0nfwGHjTYF/E---3.1_15582.p','thm.bool.IMP_ANTISYM_AX') ).
fof('thm.cfHeapsBase.SPLIT3_def',axiom,
! [X10,X21,X22,X23,X24] :
( p__01(s__02(cbool__00,c_27const_2ecfHeapsBase_2eSPLIT3_27__02(s__02(cfun__02(X10,cbool__00),X21),s__02(c_27type_2epair_2eprod_27__02(cfun__02(X10,cbool__00),c_27type_2epair_2eprod_27__02(cfun__02(X10,cbool__00),cfun__02(X10,cbool__00))),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(X10,cbool__00),X22),s__02(c_27type_2epair_2eprod_27__02(cfun__02(X10,cbool__00),cfun__02(X10,cbool__00)),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(X10,cbool__00),X23),s__02(cfun__02(X10,cbool__00),X24))))))))
<=> ( s__02(cfun__02(X10,cbool__00),c_27const_2epred__set_2eUNION_27__02(s__02(cfun__02(X10,cbool__00),c_27const_2epred__set_2eUNION_27__02(s__02(cfun__02(X10,cbool__00),X22),s__02(cfun__02(X10,cbool__00),X23))),s__02(cfun__02(X10,cbool__00),X24))) = s__02(cfun__02(X10,cbool__00),X21)
& p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(X10,cbool__00),X22),s__02(cfun__02(X10,cbool__00),X23))))
& p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(X10,cbool__00),X23),s__02(cfun__02(X10,cbool__00),X24))))
& p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(X10,cbool__00),X22),s__02(cfun__02(X10,cbool__00),X24)))) ) ),
file('/export/starexec/sandbox/tmp/tmp.0nfwGHjTYF/E---3.1_15582.p','thm.cfHeapsBase.SPLIT3_def') ).
fof('thm.pred_set.DISJOINT_UNION',axiom,
! [X10,X21,X9,X22] :
( p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(X10,cbool__00),c_27const_2epred__set_2eUNION_27__02(s__02(cfun__02(X10,cbool__00),X21),s__02(cfun__02(X10,cbool__00),X9))),s__02(cfun__02(X10,cbool__00),X22))))
<=> ( p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(X10,cbool__00),X21),s__02(cfun__02(X10,cbool__00),X22))))
& p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(X10,cbool__00),X9),s__02(cfun__02(X10,cbool__00),X22)))) ) ),
file('/export/starexec/sandbox/tmp/tmp.0nfwGHjTYF/E---3.1_15582.p','thm.pred_set.DISJOINT_UNION') ).
fof(c_0_10,negated_conjecture,
~ ! [X10,X25,X26,X27,X28] :
( p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(X10,cbool__00),cbool__00),c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(X10,cbool__00),cbool__00),c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(X10,cbool__00),cbool__00),X25),s__02(cfun__02(cfun__02(X10,cbool__00),cbool__00),X26))),s__02(cfun__02(cfun__02(X10,cbool__00),cbool__00),X27))),s__02(cfun__02(X10,cbool__00),X28))))
=> ? [X29,X30,X31] :
( p__01(s__02(cbool__00,c_27const_2ecfHeapsBase_2eSPLIT3_27__02(s__02(cfun__02(X10,cbool__00),X28),s__02(c_27type_2epair_2eprod_27__02(cfun__02(X10,cbool__00),c_27type_2epair_2eprod_27__02(cfun__02(X10,cbool__00),cfun__02(X10,cbool__00))),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(X10,cbool__00),X29),s__02(c_27type_2epair_2eprod_27__02(cfun__02(X10,cbool__00),cfun__02(X10,cbool__00)),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(X10,cbool__00),X30),s__02(cfun__02(X10,cbool__00),X31))))))))
& p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(X10,cbool__00),cbool__00),X25),s__02(cfun__02(X10,cbool__00),X29))))
& p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(X10,cbool__00),cbool__00),X26),s__02(cfun__02(X10,cbool__00),X30))))
& p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(X10,cbool__00),cbool__00),X27),s__02(cfun__02(X10,cbool__00),X31)))) ) ),
inference(assume_negation,[status(cth)],[conjecture]) ).
fof(c_0_11,negated_conjecture,
! [X105,X106,X107] :
( p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk5_0),s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk6_0))),s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk7_0))),s__02(cfun__02(esk4_0,cbool__00),esk8_0))))
& ( ~ p__01(s__02(cbool__00,c_27const_2ecfHeapsBase_2eSPLIT3_27__02(s__02(cfun__02(esk4_0,cbool__00),esk8_0),s__02(c_27type_2epair_2eprod_27__02(cfun__02(esk4_0,cbool__00),c_27type_2epair_2eprod_27__02(cfun__02(esk4_0,cbool__00),cfun__02(esk4_0,cbool__00))),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(esk4_0,cbool__00),X105),s__02(c_27type_2epair_2eprod_27__02(cfun__02(esk4_0,cbool__00),cfun__02(esk4_0,cbool__00)),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(esk4_0,cbool__00),X106),s__02(cfun__02(esk4_0,cbool__00),X107))))))))
| ~ p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk5_0),s__02(cfun__02(esk4_0,cbool__00),X105))))
| ~ p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk6_0),s__02(cfun__02(esk4_0,cbool__00),X106))))
| ~ p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk7_0),s__02(cfun__02(esk4_0,cbool__00),X107)))) ) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])])]) ).
fof(c_0_12,plain,
! [X32] :
( s__02(cbool__00,X32) = s__02(cbool__00,cT__00)
| s__02(cbool__00,X32) = s__02(cbool__00,cF__00) ),
inference(variable_rename,[status(thm)],['HL_BOOL_CASES']) ).
fof(c_0_13,plain,
~ p__01(s__02(cbool__00,cF__00)),
inference(fof_simplification,[status(thm)],['HL_FALSITY']) ).
fof(c_0_14,plain,
! [X9] :
( ( s__02(cbool__00,cT__00) = s__02(cbool__00,X9)
<=> p__01(s__02(cbool__00,X9)) )
& ( s__02(cbool__00,X9) = s__02(cbool__00,cT__00)
<=> p__01(s__02(cbool__00,X9)) )
& ( s__02(cbool__00,cF__00) = s__02(cbool__00,X9)
<=> ~ p__01(s__02(cbool__00,X9)) )
& ( s__02(cbool__00,X9) = s__02(cbool__00,cF__00)
<=> ~ p__01(s__02(cbool__00,X9)) ) ),
inference(fof_simplification,[status(thm)],['thm.bool.EQ_CLAUSES']) ).
fof(c_0_15,plain,
! [X83,X84,X85,X86,X89,X90,X91,X92,X93,X94] :
( ( p__01(s__02(cbool__00,c_27const_2eset__sep_2eSPLIT_27__02(s__02(cfun__02(X83,cbool__00),X86),s__02(c_27type_2epair_2eprod_27__02(cfun__02(X83,cbool__00),cfun__02(X83,cbool__00)),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(X83,cbool__00),esk2_4(X83,X84,X85,X86)),s__02(cfun__02(X83,cbool__00),esk3_4(X83,X84,X85,X86)))))))
| ~ p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(X83,cbool__00),cbool__00),c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(X83,cbool__00),cbool__00),X84),s__02(cfun__02(cfun__02(X83,cbool__00),cbool__00),X85))),s__02(cfun__02(X83,cbool__00),X86)))) )
& ( p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(X83,cbool__00),cbool__00),X84),s__02(cfun__02(X83,cbool__00),esk2_4(X83,X84,X85,X86)))))
| ~ p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(X83,cbool__00),cbool__00),c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(X83,cbool__00),cbool__00),X84),s__02(cfun__02(cfun__02(X83,cbool__00),cbool__00),X85))),s__02(cfun__02(X83,cbool__00),X86)))) )
& ( p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(X83,cbool__00),cbool__00),X85),s__02(cfun__02(X83,cbool__00),esk3_4(X83,X84,X85,X86)))))
| ~ p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(X83,cbool__00),cbool__00),c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(X83,cbool__00),cbool__00),X84),s__02(cfun__02(cfun__02(X83,cbool__00),cbool__00),X85))),s__02(cfun__02(X83,cbool__00),X86)))) )
& ( ~ p__01(s__02(cbool__00,c_27const_2eset__sep_2eSPLIT_27__02(s__02(cfun__02(X89,cbool__00),X92),s__02(c_27type_2epair_2eprod_27__02(cfun__02(X89,cbool__00),cfun__02(X89,cbool__00)),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(X89,cbool__00),X93),s__02(cfun__02(X89,cbool__00),X94))))))
| ~ p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(X89,cbool__00),cbool__00),X90),s__02(cfun__02(X89,cbool__00),X93))))
| ~ p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(X89,cbool__00),cbool__00),X91),s__02(cfun__02(X89,cbool__00),X94))))
| p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(X89,cbool__00),cbool__00),c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(X89,cbool__00),cbool__00),X90),s__02(cfun__02(cfun__02(X89,cbool__00),cbool__00),X91))),s__02(cfun__02(X89,cbool__00),X92)))) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],['thm.set_sep.STAR_def'])])])])])]) ).
cnf(c_0_16,negated_conjecture,
p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk5_0),s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk6_0))),s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk7_0))),s__02(cfun__02(esk4_0,cbool__00),esk8_0)))),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_17,plain,
( s__02(cbool__00,X1) = s__02(cbool__00,cT__00)
| s__02(cbool__00,X1) = s__02(cbool__00,cF__00) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_18,plain,
~ p__01(s__02(cbool__00,cF__00)),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
fof(c_0_19,plain,
! [X79,X80,X81,X82] :
( ( s__02(cfun__02(X79,cbool__00),c_27const_2epred__set_2eUNION_27__02(s__02(cfun__02(X79,cbool__00),X81),s__02(cfun__02(X79,cbool__00),X82))) = s__02(cfun__02(X79,cbool__00),X80)
| ~ p__01(s__02(cbool__00,c_27const_2eset__sep_2eSPLIT_27__02(s__02(cfun__02(X79,cbool__00),X80),s__02(c_27type_2epair_2eprod_27__02(cfun__02(X79,cbool__00),cfun__02(X79,cbool__00)),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(X79,cbool__00),X81),s__02(cfun__02(X79,cbool__00),X82)))))) )
& ( p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(X79,cbool__00),X81),s__02(cfun__02(X79,cbool__00),X82))))
| ~ p__01(s__02(cbool__00,c_27const_2eset__sep_2eSPLIT_27__02(s__02(cfun__02(X79,cbool__00),X80),s__02(c_27type_2epair_2eprod_27__02(cfun__02(X79,cbool__00),cfun__02(X79,cbool__00)),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(X79,cbool__00),X81),s__02(cfun__02(X79,cbool__00),X82)))))) )
& ( s__02(cfun__02(X79,cbool__00),c_27const_2epred__set_2eUNION_27__02(s__02(cfun__02(X79,cbool__00),X81),s__02(cfun__02(X79,cbool__00),X82))) != s__02(cfun__02(X79,cbool__00),X80)
| ~ p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(X79,cbool__00),X81),s__02(cfun__02(X79,cbool__00),X82))))
| p__01(s__02(cbool__00,c_27const_2eset__sep_2eSPLIT_27__02(s__02(cfun__02(X79,cbool__00),X80),s__02(c_27type_2epair_2eprod_27__02(cfun__02(X79,cbool__00),cfun__02(X79,cbool__00)),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(X79,cbool__00),X81),s__02(cfun__02(X79,cbool__00),X82)))))) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['thm.set_sep.SPLIT_def'])])]) ).
fof(c_0_20,plain,
! [X46] :
( ( s__02(cbool__00,cT__00) != s__02(cbool__00,X46)
| p__01(s__02(cbool__00,X46)) )
& ( ~ p__01(s__02(cbool__00,X46))
| s__02(cbool__00,cT__00) = s__02(cbool__00,X46) )
& ( s__02(cbool__00,X46) != s__02(cbool__00,cT__00)
| p__01(s__02(cbool__00,X46)) )
& ( ~ p__01(s__02(cbool__00,X46))
| s__02(cbool__00,X46) = s__02(cbool__00,cT__00) )
& ( s__02(cbool__00,cF__00) != s__02(cbool__00,X46)
| ~ p__01(s__02(cbool__00,X46)) )
& ( p__01(s__02(cbool__00,X46))
| s__02(cbool__00,cF__00) = s__02(cbool__00,X46) )
& ( s__02(cbool__00,X46) != s__02(cbool__00,cF__00)
| ~ p__01(s__02(cbool__00,X46)) )
& ( p__01(s__02(cbool__00,X46))
| s__02(cbool__00,X46) = s__02(cbool__00,cF__00) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])]) ).
cnf(c_0_21,plain,
( p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(X1,cbool__00),cbool__00),X2),s__02(cfun__02(X1,cbool__00),esk2_4(X1,X2,X3,X4)))))
| ~ p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(X1,cbool__00),cbool__00),c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(X1,cbool__00),cbool__00),X2),s__02(cfun__02(cfun__02(X1,cbool__00),cbool__00),X3))),s__02(cfun__02(X1,cbool__00),X4)))) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_22,negated_conjecture,
s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk5_0),s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk6_0))),s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk7_0))),s__02(cfun__02(esk4_0,cbool__00),esk8_0))) = s__02(cbool__00,cT__00),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]) ).
cnf(c_0_23,plain,
p__01(s__02(cbool__00,cT__00)),
inference(split_conjunct,[status(thm)],['HL_TRUTH']) ).
fof(c_0_24,plain,
! [X38,X39] :
( ( p__01(s__02(cbool__00,X39))
| s__02(cbool__00,X38) = s__02(cbool__00,X39)
| p__01(s__02(cbool__00,X38)) )
& ( ~ p__01(s__02(cbool__00,X38))
| s__02(cbool__00,X38) = s__02(cbool__00,X39)
| p__01(s__02(cbool__00,X38)) )
& ( p__01(s__02(cbool__00,X39))
| s__02(cbool__00,X38) = s__02(cbool__00,X39)
| ~ p__01(s__02(cbool__00,X39)) )
& ( ~ p__01(s__02(cbool__00,X38))
| s__02(cbool__00,X38) = s__02(cbool__00,X39)
| ~ p__01(s__02(cbool__00,X39)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['thm.bool.IMP_ANTISYM_AX'])])]) ).
cnf(c_0_25,plain,
( p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(X1,cbool__00),X2),s__02(cfun__02(X1,cbool__00),X3))))
| ~ p__01(s__02(cbool__00,c_27const_2eset__sep_2eSPLIT_27__02(s__02(cfun__02(X1,cbool__00),X4),s__02(c_27type_2epair_2eprod_27__02(cfun__02(X1,cbool__00),cfun__02(X1,cbool__00)),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(X1,cbool__00),X2),s__02(cfun__02(X1,cbool__00),X3)))))) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_26,plain,
( p__01(s__02(cbool__00,c_27const_2eset__sep_2eSPLIT_27__02(s__02(cfun__02(X1,cbool__00),X2),s__02(c_27type_2epair_2eprod_27__02(cfun__02(X1,cbool__00),cfun__02(X1,cbool__00)),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(X1,cbool__00),esk2_4(X1,X3,X4,X2)),s__02(cfun__02(X1,cbool__00),esk3_4(X1,X3,X4,X2)))))))
| ~ p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(X1,cbool__00),cbool__00),c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(X1,cbool__00),cbool__00),X3),s__02(cfun__02(cfun__02(X1,cbool__00),cbool__00),X4))),s__02(cfun__02(X1,cbool__00),X2)))) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_27,plain,
( s__02(cbool__00,X1) = s__02(cbool__00,cT__00)
| ~ p__01(s__02(cbool__00,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_28,negated_conjecture,
p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk5_0),s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk6_0))),s__02(cfun__02(esk4_0,cbool__00),esk2_4(esk4_0,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk5_0),s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk6_0)),esk7_0,esk8_0))))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23])]) ).
cnf(c_0_29,plain,
( s__02(cbool__00,X1) = s__02(cbool__00,X2)
| ~ p__01(s__02(cbool__00,X1))
| ~ p__01(s__02(cbool__00,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
fof(c_0_30,plain,
! [X95,X96,X97,X98,X99] :
( ( s__02(cfun__02(X95,cbool__00),c_27const_2epred__set_2eUNION_27__02(s__02(cfun__02(X95,cbool__00),c_27const_2epred__set_2eUNION_27__02(s__02(cfun__02(X95,cbool__00),X97),s__02(cfun__02(X95,cbool__00),X98))),s__02(cfun__02(X95,cbool__00),X99))) = s__02(cfun__02(X95,cbool__00),X96)
| ~ p__01(s__02(cbool__00,c_27const_2ecfHeapsBase_2eSPLIT3_27__02(s__02(cfun__02(X95,cbool__00),X96),s__02(c_27type_2epair_2eprod_27__02(cfun__02(X95,cbool__00),c_27type_2epair_2eprod_27__02(cfun__02(X95,cbool__00),cfun__02(X95,cbool__00))),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(X95,cbool__00),X97),s__02(c_27type_2epair_2eprod_27__02(cfun__02(X95,cbool__00),cfun__02(X95,cbool__00)),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(X95,cbool__00),X98),s__02(cfun__02(X95,cbool__00),X99)))))))) )
& ( p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(X95,cbool__00),X97),s__02(cfun__02(X95,cbool__00),X98))))
| ~ p__01(s__02(cbool__00,c_27const_2ecfHeapsBase_2eSPLIT3_27__02(s__02(cfun__02(X95,cbool__00),X96),s__02(c_27type_2epair_2eprod_27__02(cfun__02(X95,cbool__00),c_27type_2epair_2eprod_27__02(cfun__02(X95,cbool__00),cfun__02(X95,cbool__00))),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(X95,cbool__00),X97),s__02(c_27type_2epair_2eprod_27__02(cfun__02(X95,cbool__00),cfun__02(X95,cbool__00)),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(X95,cbool__00),X98),s__02(cfun__02(X95,cbool__00),X99)))))))) )
& ( p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(X95,cbool__00),X98),s__02(cfun__02(X95,cbool__00),X99))))
| ~ p__01(s__02(cbool__00,c_27const_2ecfHeapsBase_2eSPLIT3_27__02(s__02(cfun__02(X95,cbool__00),X96),s__02(c_27type_2epair_2eprod_27__02(cfun__02(X95,cbool__00),c_27type_2epair_2eprod_27__02(cfun__02(X95,cbool__00),cfun__02(X95,cbool__00))),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(X95,cbool__00),X97),s__02(c_27type_2epair_2eprod_27__02(cfun__02(X95,cbool__00),cfun__02(X95,cbool__00)),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(X95,cbool__00),X98),s__02(cfun__02(X95,cbool__00),X99)))))))) )
& ( p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(X95,cbool__00),X97),s__02(cfun__02(X95,cbool__00),X99))))
| ~ p__01(s__02(cbool__00,c_27const_2ecfHeapsBase_2eSPLIT3_27__02(s__02(cfun__02(X95,cbool__00),X96),s__02(c_27type_2epair_2eprod_27__02(cfun__02(X95,cbool__00),c_27type_2epair_2eprod_27__02(cfun__02(X95,cbool__00),cfun__02(X95,cbool__00))),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(X95,cbool__00),X97),s__02(c_27type_2epair_2eprod_27__02(cfun__02(X95,cbool__00),cfun__02(X95,cbool__00)),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(X95,cbool__00),X98),s__02(cfun__02(X95,cbool__00),X99)))))))) )
& ( s__02(cfun__02(X95,cbool__00),c_27const_2epred__set_2eUNION_27__02(s__02(cfun__02(X95,cbool__00),c_27const_2epred__set_2eUNION_27__02(s__02(cfun__02(X95,cbool__00),X97),s__02(cfun__02(X95,cbool__00),X98))),s__02(cfun__02(X95,cbool__00),X99))) != s__02(cfun__02(X95,cbool__00),X96)
| ~ p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(X95,cbool__00),X97),s__02(cfun__02(X95,cbool__00),X98))))
| ~ p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(X95,cbool__00),X98),s__02(cfun__02(X95,cbool__00),X99))))
| ~ p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(X95,cbool__00),X97),s__02(cfun__02(X95,cbool__00),X99))))
| p__01(s__02(cbool__00,c_27const_2ecfHeapsBase_2eSPLIT3_27__02(s__02(cfun__02(X95,cbool__00),X96),s__02(c_27type_2epair_2eprod_27__02(cfun__02(X95,cbool__00),c_27type_2epair_2eprod_27__02(cfun__02(X95,cbool__00),cfun__02(X95,cbool__00))),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(X95,cbool__00),X97),s__02(c_27type_2epair_2eprod_27__02(cfun__02(X95,cbool__00),cfun__02(X95,cbool__00)),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(X95,cbool__00),X98),s__02(cfun__02(X95,cbool__00),X99)))))))) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['thm.cfHeapsBase.SPLIT3_def'])])]) ).
cnf(c_0_31,plain,
( s__02(cfun__02(X1,cbool__00),c_27const_2epred__set_2eUNION_27__02(s__02(cfun__02(X1,cbool__00),X2),s__02(cfun__02(X1,cbool__00),X3))) = s__02(cfun__02(X1,cbool__00),X4)
| ~ p__01(s__02(cbool__00,c_27const_2eset__sep_2eSPLIT_27__02(s__02(cfun__02(X1,cbool__00),X4),s__02(c_27type_2epair_2eprod_27__02(cfun__02(X1,cbool__00),cfun__02(X1,cbool__00)),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(X1,cbool__00),X2),s__02(cfun__02(X1,cbool__00),X3)))))) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_32,plain,
( p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(X1,cbool__00),cbool__00),X2),s__02(cfun__02(X1,cbool__00),esk3_4(X1,X3,X2,X4)))))
| ~ p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(X1,cbool__00),cbool__00),c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(X1,cbool__00),cbool__00),X3),s__02(cfun__02(cfun__02(X1,cbool__00),cbool__00),X2))),s__02(cfun__02(X1,cbool__00),X4)))) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_33,plain,
( p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(X1,cbool__00),esk2_4(X1,X2,X3,X4)),s__02(cfun__02(X1,cbool__00),esk3_4(X1,X2,X3,X4)))))
| ~ p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(X1,cbool__00),cbool__00),c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(X1,cbool__00),cbool__00),X2),s__02(cfun__02(cfun__02(X1,cbool__00),cbool__00),X3))),s__02(cfun__02(X1,cbool__00),X4)))) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_34,negated_conjecture,
s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk5_0),s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk6_0))),s__02(cfun__02(esk4_0,cbool__00),esk2_4(esk4_0,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk5_0),s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk6_0)),esk7_0,esk8_0)))) = s__02(cbool__00,cT__00),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_35,plain,
( s__02(cbool__00,X1) = s__02(cbool__00,c_27const_2eset__sep_2eSPLIT_27__02(s__02(cfun__02(X2,cbool__00),X3),s__02(c_27type_2epair_2eprod_27__02(cfun__02(X2,cbool__00),cfun__02(X2,cbool__00)),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(X2,cbool__00),esk2_4(X2,X4,X5,X3)),s__02(cfun__02(X2,cbool__00),esk3_4(X2,X4,X5,X3))))))
| ~ p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(X2,cbool__00),cbool__00),c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(X2,cbool__00),cbool__00),X4),s__02(cfun__02(cfun__02(X2,cbool__00),cbool__00),X5))),s__02(cfun__02(X2,cbool__00),X3))))
| ~ p__01(s__02(cbool__00,X1)) ),
inference(spm,[status(thm)],[c_0_29,c_0_26]) ).
cnf(c_0_36,negated_conjecture,
( ~ p__01(s__02(cbool__00,c_27const_2ecfHeapsBase_2eSPLIT3_27__02(s__02(cfun__02(esk4_0,cbool__00),esk8_0),s__02(c_27type_2epair_2eprod_27__02(cfun__02(esk4_0,cbool__00),c_27type_2epair_2eprod_27__02(cfun__02(esk4_0,cbool__00),cfun__02(esk4_0,cbool__00))),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(esk4_0,cbool__00),X1),s__02(c_27type_2epair_2eprod_27__02(cfun__02(esk4_0,cbool__00),cfun__02(esk4_0,cbool__00)),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(esk4_0,cbool__00),X2),s__02(cfun__02(esk4_0,cbool__00),X3))))))))
| ~ p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk5_0),s__02(cfun__02(esk4_0,cbool__00),X1))))
| ~ p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk6_0),s__02(cfun__02(esk4_0,cbool__00),X2))))
| ~ p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk7_0),s__02(cfun__02(esk4_0,cbool__00),X3)))) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_37,plain,
( p__01(s__02(cbool__00,c_27const_2ecfHeapsBase_2eSPLIT3_27__02(s__02(cfun__02(X1,cbool__00),X5),s__02(c_27type_2epair_2eprod_27__02(cfun__02(X1,cbool__00),c_27type_2epair_2eprod_27__02(cfun__02(X1,cbool__00),cfun__02(X1,cbool__00))),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(X1,cbool__00),X2),s__02(c_27type_2epair_2eprod_27__02(cfun__02(X1,cbool__00),cfun__02(X1,cbool__00)),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(X1,cbool__00),X3),s__02(cfun__02(X1,cbool__00),X4))))))))
| s__02(cfun__02(X1,cbool__00),c_27const_2epred__set_2eUNION_27__02(s__02(cfun__02(X1,cbool__00),c_27const_2epred__set_2eUNION_27__02(s__02(cfun__02(X1,cbool__00),X2),s__02(cfun__02(X1,cbool__00),X3))),s__02(cfun__02(X1,cbool__00),X4))) != s__02(cfun__02(X1,cbool__00),X5)
| ~ p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(X1,cbool__00),X2),s__02(cfun__02(X1,cbool__00),X3))))
| ~ p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(X1,cbool__00),X3),s__02(cfun__02(X1,cbool__00),X4))))
| ~ p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(X1,cbool__00),X2),s__02(cfun__02(X1,cbool__00),X4)))) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_38,plain,
( s__02(cfun__02(X1,cbool__00),c_27const_2epred__set_2eUNION_27__02(s__02(cfun__02(X1,cbool__00),esk2_4(X1,X2,X3,X4)),s__02(cfun__02(X1,cbool__00),esk3_4(X1,X2,X3,X4)))) = s__02(cfun__02(X1,cbool__00),X4)
| ~ p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(X1,cbool__00),cbool__00),c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(X1,cbool__00),cbool__00),X2),s__02(cfun__02(cfun__02(X1,cbool__00),cbool__00),X3))),s__02(cfun__02(X1,cbool__00),X4)))) ),
inference(spm,[status(thm)],[c_0_31,c_0_26]) ).
cnf(c_0_39,negated_conjecture,
p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk5_0),s__02(cfun__02(esk4_0,cbool__00),esk2_4(esk4_0,esk5_0,esk6_0,esk2_4(esk4_0,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk5_0),s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk6_0)),esk7_0,esk8_0)))))),
inference(spm,[status(thm)],[c_0_21,c_0_28]) ).
cnf(c_0_40,negated_conjecture,
p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk6_0),s__02(cfun__02(esk4_0,cbool__00),esk3_4(esk4_0,esk5_0,esk6_0,esk2_4(esk4_0,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk5_0),s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk6_0)),esk7_0,esk8_0)))))),
inference(spm,[status(thm)],[c_0_32,c_0_28]) ).
cnf(c_0_41,negated_conjecture,
p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(esk4_0,cbool__00),esk2_4(esk4_0,esk5_0,esk6_0,esk2_4(esk4_0,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk5_0),s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk6_0)),esk7_0,esk8_0))),s__02(cfun__02(esk4_0,cbool__00),esk3_4(esk4_0,esk5_0,esk6_0,esk2_4(esk4_0,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk5_0),s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk6_0)),esk7_0,esk8_0)))))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_23])]) ).
fof(c_0_42,plain,
! [X75,X76,X77,X78] :
( ( p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(X75,cbool__00),X76),s__02(cfun__02(X75,cbool__00),X78))))
| ~ p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(X75,cbool__00),c_27const_2epred__set_2eUNION_27__02(s__02(cfun__02(X75,cbool__00),X76),s__02(cfun__02(X75,cbool__00),X77))),s__02(cfun__02(X75,cbool__00),X78)))) )
& ( p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(X75,cbool__00),X77),s__02(cfun__02(X75,cbool__00),X78))))
| ~ p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(X75,cbool__00),c_27const_2epred__set_2eUNION_27__02(s__02(cfun__02(X75,cbool__00),X76),s__02(cfun__02(X75,cbool__00),X77))),s__02(cfun__02(X75,cbool__00),X78)))) )
& ( ~ p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(X75,cbool__00),X76),s__02(cfun__02(X75,cbool__00),X78))))
| ~ p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(X75,cbool__00),X77),s__02(cfun__02(X75,cbool__00),X78))))
| p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(X75,cbool__00),c_27const_2epred__set_2eUNION_27__02(s__02(cfun__02(X75,cbool__00),X76),s__02(cfun__02(X75,cbool__00),X77))),s__02(cfun__02(X75,cbool__00),X78)))) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['thm.pred_set.DISJOINT_UNION'])])]) ).
cnf(c_0_43,plain,
( p__01(s__02(cbool__00,X1))
| s__02(cbool__00,X1) = s__02(cbool__00,cF__00) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_44,negated_conjecture,
( s__02(cbool__00,X1) = s__02(cbool__00,c_27const_2eset__sep_2eSPLIT_27__02(s__02(cfun__02(esk4_0,cbool__00),esk8_0),s__02(c_27type_2epair_2eprod_27__02(cfun__02(esk4_0,cbool__00),cfun__02(esk4_0,cbool__00)),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(esk4_0,cbool__00),esk2_4(esk4_0,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk5_0),s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk6_0)),esk7_0,esk8_0)),s__02(cfun__02(esk4_0,cbool__00),esk3_4(esk4_0,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk5_0),s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk6_0)),esk7_0,esk8_0))))))
| ~ p__01(s__02(cbool__00,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_22]),c_0_23])]) ).
cnf(c_0_45,plain,
( s__02(cbool__00,X1) != s__02(cbool__00,cF__00)
| ~ p__01(s__02(cbool__00,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_46,negated_conjecture,
( s__02(cfun__02(esk4_0,cbool__00),c_27const_2epred__set_2eUNION_27__02(s__02(cfun__02(esk4_0,cbool__00),c_27const_2epred__set_2eUNION_27__02(s__02(cfun__02(esk4_0,cbool__00),X1),s__02(cfun__02(esk4_0,cbool__00),X2))),s__02(cfun__02(esk4_0,cbool__00),X3))) != s__02(cfun__02(esk4_0,cbool__00),esk8_0)
| ~ p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk5_0),s__02(cfun__02(esk4_0,cbool__00),X1))))
| ~ p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk6_0),s__02(cfun__02(esk4_0,cbool__00),X2))))
| ~ p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk7_0),s__02(cfun__02(esk4_0,cbool__00),X3))))
| ~ p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(esk4_0,cbool__00),X2),s__02(cfun__02(esk4_0,cbool__00),X3))))
| ~ p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(esk4_0,cbool__00),X1),s__02(cfun__02(esk4_0,cbool__00),X3))))
| ~ p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(esk4_0,cbool__00),X1),s__02(cfun__02(esk4_0,cbool__00),X2)))) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_47,negated_conjecture,
s__02(cfun__02(esk4_0,cbool__00),c_27const_2epred__set_2eUNION_27__02(s__02(cfun__02(esk4_0,cbool__00),esk2_4(esk4_0,esk5_0,esk6_0,esk2_4(esk4_0,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk5_0),s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk6_0)),esk7_0,esk8_0))),s__02(cfun__02(esk4_0,cbool__00),esk3_4(esk4_0,esk5_0,esk6_0,esk2_4(esk4_0,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk5_0),s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk6_0)),esk7_0,esk8_0))))) = s__02(cfun__02(esk4_0,cbool__00),esk2_4(esk4_0,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk5_0),s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk6_0)),esk7_0,esk8_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_34]),c_0_23])]) ).
cnf(c_0_48,negated_conjecture,
s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk5_0),s__02(cfun__02(esk4_0,cbool__00),esk2_4(esk4_0,esk5_0,esk6_0,esk2_4(esk4_0,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk5_0),s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk6_0)),esk7_0,esk8_0))))) = s__02(cbool__00,cT__00),
inference(spm,[status(thm)],[c_0_27,c_0_39]) ).
cnf(c_0_49,negated_conjecture,
s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk6_0),s__02(cfun__02(esk4_0,cbool__00),esk3_4(esk4_0,esk5_0,esk6_0,esk2_4(esk4_0,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk5_0),s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk6_0)),esk7_0,esk8_0))))) = s__02(cbool__00,cT__00),
inference(spm,[status(thm)],[c_0_27,c_0_40]) ).
cnf(c_0_50,negated_conjecture,
s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(esk4_0,cbool__00),esk2_4(esk4_0,esk5_0,esk6_0,esk2_4(esk4_0,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk5_0),s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk6_0)),esk7_0,esk8_0))),s__02(cfun__02(esk4_0,cbool__00),esk3_4(esk4_0,esk5_0,esk6_0,esk2_4(esk4_0,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk5_0),s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk6_0)),esk7_0,esk8_0))))) = s__02(cbool__00,cT__00),
inference(spm,[status(thm)],[c_0_27,c_0_41]) ).
cnf(c_0_51,plain,
( p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(X1,cbool__00),X2),s__02(cfun__02(X1,cbool__00),X3))))
| ~ p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(X1,cbool__00),c_27const_2epred__set_2eUNION_27__02(s__02(cfun__02(X1,cbool__00),X4),s__02(cfun__02(X1,cbool__00),X2))),s__02(cfun__02(X1,cbool__00),X3)))) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_52,plain,
( p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(X1,cbool__00),X2),s__02(cfun__02(X1,cbool__00),X3))))
| ~ p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(X1,cbool__00),c_27const_2epred__set_2eUNION_27__02(s__02(cfun__02(X1,cbool__00),X2),s__02(cfun__02(X1,cbool__00),X4))),s__02(cfun__02(X1,cbool__00),X3)))) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_53,plain,
( s__02(cbool__00,c_27const_2eset__sep_2eSPLIT_27__02(s__02(cfun__02(X1,cbool__00),X2),s__02(c_27type_2epair_2eprod_27__02(cfun__02(X1,cbool__00),cfun__02(X1,cbool__00)),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(X1,cbool__00),X3),s__02(cfun__02(X1,cbool__00),X4))))) = s__02(cbool__00,cF__00)
| p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(X1,cbool__00),X3),s__02(cfun__02(X1,cbool__00),X4)))) ),
inference(spm,[status(thm)],[c_0_25,c_0_43]) ).
cnf(c_0_54,negated_conjecture,
s__02(cbool__00,c_27const_2eset__sep_2eSPLIT_27__02(s__02(cfun__02(esk4_0,cbool__00),esk8_0),s__02(c_27type_2epair_2eprod_27__02(cfun__02(esk4_0,cbool__00),cfun__02(esk4_0,cbool__00)),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(esk4_0,cbool__00),esk2_4(esk4_0,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk5_0),s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk6_0)),esk7_0,esk8_0)),s__02(cfun__02(esk4_0,cbool__00),esk3_4(esk4_0,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk5_0),s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk6_0)),esk7_0,esk8_0)))))) = s__02(cbool__00,cT__00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_22]),c_0_23])]) ).
cnf(c_0_55,plain,
s__02(cbool__00,cF__00) != s__02(cbool__00,cT__00),
inference(spm,[status(thm)],[c_0_45,c_0_23]) ).
cnf(c_0_56,negated_conjecture,
( s__02(cfun__02(esk4_0,cbool__00),c_27const_2epred__set_2eUNION_27__02(s__02(cfun__02(esk4_0,cbool__00),esk2_4(esk4_0,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk5_0),s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk6_0)),esk7_0,esk8_0)),s__02(cfun__02(esk4_0,cbool__00),X1))) != s__02(cfun__02(esk4_0,cbool__00),esk8_0)
| ~ p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(esk4_0,cbool__00),esk3_4(esk4_0,esk5_0,esk6_0,esk2_4(esk4_0,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk5_0),s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk6_0)),esk7_0,esk8_0))),s__02(cfun__02(esk4_0,cbool__00),X1))))
| ~ p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(esk4_0,cbool__00),esk2_4(esk4_0,esk5_0,esk6_0,esk2_4(esk4_0,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk5_0),s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk6_0)),esk7_0,esk8_0))),s__02(cfun__02(esk4_0,cbool__00),X1))))
| ~ p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk7_0),s__02(cfun__02(esk4_0,cbool__00),X1)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_48]),c_0_23]),c_0_49]),c_0_23]),c_0_50]),c_0_23])]) ).
cnf(c_0_57,negated_conjecture,
( p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(esk4_0,cbool__00),esk3_4(esk4_0,esk5_0,esk6_0,esk2_4(esk4_0,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk5_0),s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk6_0)),esk7_0,esk8_0))),s__02(cfun__02(esk4_0,cbool__00),X1))))
| ~ p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(esk4_0,cbool__00),esk2_4(esk4_0,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk5_0),s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk6_0)),esk7_0,esk8_0)),s__02(cfun__02(esk4_0,cbool__00),X1)))) ),
inference(spm,[status(thm)],[c_0_51,c_0_47]) ).
cnf(c_0_58,negated_conjecture,
( p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(esk4_0,cbool__00),esk2_4(esk4_0,esk5_0,esk6_0,esk2_4(esk4_0,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk5_0),s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk6_0)),esk7_0,esk8_0))),s__02(cfun__02(esk4_0,cbool__00),X1))))
| ~ p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(esk4_0,cbool__00),esk2_4(esk4_0,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk5_0),s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk6_0)),esk7_0,esk8_0)),s__02(cfun__02(esk4_0,cbool__00),X1)))) ),
inference(spm,[status(thm)],[c_0_52,c_0_47]) ).
cnf(c_0_59,plain,
( s__02(cbool__00,c_27const_2eset__sep_2eSPLIT_27__02(s__02(cfun__02(X1,cbool__00),X2),s__02(c_27type_2epair_2eprod_27__02(cfun__02(X1,cbool__00),cfun__02(X1,cbool__00)),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(X1,cbool__00),X3),s__02(cfun__02(X1,cbool__00),X4))))) = s__02(cbool__00,cF__00)
| s__02(cfun__02(X1,cbool__00),c_27const_2epred__set_2eUNION_27__02(s__02(cfun__02(X1,cbool__00),X3),s__02(cfun__02(X1,cbool__00),X4))) = s__02(cfun__02(X1,cbool__00),X2) ),
inference(spm,[status(thm)],[c_0_31,c_0_43]) ).
cnf(c_0_60,negated_conjecture,
p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(esk4_0,cbool__00),esk2_4(esk4_0,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk5_0),s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk6_0)),esk7_0,esk8_0)),s__02(cfun__02(esk4_0,cbool__00),esk3_4(esk4_0,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk5_0),s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk6_0)),esk7_0,esk8_0))))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_55]) ).
cnf(c_0_61,negated_conjecture,
p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk7_0),s__02(cfun__02(esk4_0,cbool__00),esk3_4(esk4_0,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk5_0),s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk6_0)),esk7_0,esk8_0))))),
inference(spm,[status(thm)],[c_0_32,c_0_16]) ).
cnf(c_0_62,negated_conjecture,
( s__02(cfun__02(esk4_0,cbool__00),c_27const_2epred__set_2eUNION_27__02(s__02(cfun__02(esk4_0,cbool__00),esk2_4(esk4_0,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk5_0),s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk6_0)),esk7_0,esk8_0)),s__02(cfun__02(esk4_0,cbool__00),X1))) != s__02(cfun__02(esk4_0,cbool__00),esk8_0)
| ~ p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(esk4_0,cbool__00),esk2_4(esk4_0,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk5_0),s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk6_0)),esk7_0,esk8_0)),s__02(cfun__02(esk4_0,cbool__00),X1))))
| ~ p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk7_0),s__02(cfun__02(esk4_0,cbool__00),X1)))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_58]) ).
cnf(c_0_63,negated_conjecture,
s__02(cfun__02(esk4_0,cbool__00),c_27const_2epred__set_2eUNION_27__02(s__02(cfun__02(esk4_0,cbool__00),esk2_4(esk4_0,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk5_0),s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk6_0)),esk7_0,esk8_0)),s__02(cfun__02(esk4_0,cbool__00),esk3_4(esk4_0,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk5_0),s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk6_0)),esk7_0,esk8_0)))) = s__02(cfun__02(esk4_0,cbool__00),esk8_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_54]),c_0_55]) ).
cnf(c_0_64,negated_conjecture,
s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(esk4_0,cbool__00),esk2_4(esk4_0,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk5_0),s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk6_0)),esk7_0,esk8_0)),s__02(cfun__02(esk4_0,cbool__00),esk3_4(esk4_0,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk5_0),s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk6_0)),esk7_0,esk8_0)))) = s__02(cbool__00,cT__00),
inference(spm,[status(thm)],[c_0_27,c_0_60]) ).
cnf(c_0_65,negated_conjecture,
s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk7_0),s__02(cfun__02(esk4_0,cbool__00),esk3_4(esk4_0,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk5_0),s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk6_0)),esk7_0,esk8_0)))) = s__02(cbool__00,cT__00),
inference(spm,[status(thm)],[c_0_27,c_0_61]) ).
cnf(c_0_66,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_64]),c_0_23]),c_0_65]),c_0_23])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SWW937+1 : TPTP v8.1.2. Released v7.3.0.
% 0.06/0.11 % Command : run_E %s %d THM
% 0.10/0.32 % Computer : n004.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 2400
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Mon Oct 2 22:07:30 EDT 2023
% 0.10/0.32 % CPUTime :
% 0.16/0.43 Running first-order model finding
% 0.16/0.43 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.0nfwGHjTYF/E---3.1_15582.p
% 17.23/2.81 # Version: 3.1pre001
% 17.23/2.81 # Preprocessing class: FSLSSMSSSSSNFFN.
% 17.23/2.81 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 17.23/2.81 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 17.23/2.81 # Starting new_bool_3 with 300s (1) cores
% 17.23/2.81 # Starting new_bool_1 with 300s (1) cores
% 17.23/2.81 # Starting sh5l with 300s (1) cores
% 17.23/2.81 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 15663 completed with status 0
% 17.23/2.81 # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 17.23/2.81 # Preprocessing class: FSLSSMSSSSSNFFN.
% 17.23/2.81 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 17.23/2.81 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 17.23/2.81 # No SInE strategy applied
% 17.23/2.81 # Search class: FGHSF-FFLM32-DFFFFFNN
% 17.23/2.81 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 17.23/2.81 # Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN with 450s (1) cores
% 17.23/2.81 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 17.23/2.81 # Starting new_bool_3 with 226s (1) cores
% 17.23/2.81 # Starting new_bool_1 with 226s (1) cores
% 17.23/2.81 # Starting sh5l with 226s (1) cores
% 17.23/2.81 # G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN with pid 15668 completed with status 0
% 17.23/2.81 # Result found by G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN
% 17.23/2.81 # Preprocessing class: FSLSSMSSSSSNFFN.
% 17.23/2.81 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 17.23/2.81 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 17.23/2.81 # No SInE strategy applied
% 17.23/2.81 # Search class: FGHSF-FFLM32-DFFFFFNN
% 17.23/2.81 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 17.23/2.81 # Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN with 450s (1) cores
% 17.23/2.81 # Preprocessing time : 0.184 s
% 17.23/2.81
% 17.23/2.81 # Proof found!
% 17.23/2.81 # SZS status Theorem
% 17.23/2.81 # SZS output start CNFRefutation
% See solution above
% 17.23/2.81 # Parsed axioms : 29
% 17.23/2.81 # Removed by relevancy pruning/SinE : 0
% 17.23/2.81 # Initial clauses : 233
% 17.23/2.81 # Removed in clause preprocessing : 168
% 17.23/2.81 # Initial clauses in saturation : 65
% 17.23/2.81 # Processed clauses : 2324
% 17.23/2.81 # ...of these trivial : 36
% 17.23/2.81 # ...subsumed : 1783
% 17.23/2.81 # ...remaining for further processing : 505
% 17.23/2.81 # Other redundant clauses eliminated : 0
% 17.23/2.81 # Clauses deleted for lack of memory : 0
% 17.23/2.81 # Backward-subsumed : 32
% 17.23/2.81 # Backward-rewritten : 15
% 17.23/2.81 # Generated clauses : 66981
% 17.23/2.81 # ...of the previous two non-redundant : 57373
% 17.23/2.81 # ...aggressively subsumed : 0
% 17.23/2.81 # Contextual simplify-reflections : 38
% 17.23/2.81 # Paramodulations : 66243
% 17.23/2.81 # Factorizations : 694
% 17.23/2.81 # NegExts : 0
% 17.23/2.81 # Equation resolutions : 44
% 17.23/2.81 # Total rewrite steps : 13195
% 17.23/2.81 # Propositional unsat checks : 0
% 17.23/2.81 # Propositional check models : 0
% 17.23/2.81 # Propositional check unsatisfiable : 0
% 17.23/2.81 # Propositional clauses : 0
% 17.23/2.81 # Propositional clauses after purity: 0
% 17.23/2.81 # Propositional unsat core size : 0
% 17.23/2.81 # Propositional preprocessing time : 0.000
% 17.23/2.81 # Propositional encoding time : 0.000
% 17.23/2.81 # Propositional solver time : 0.000
% 17.23/2.81 # Success case prop preproc time : 0.000
% 17.23/2.81 # Success case prop encoding time : 0.000
% 17.23/2.81 # Success case prop solver time : 0.000
% 17.23/2.81 # Current number of processed clauses : 458
% 17.23/2.81 # Positive orientable unit clauses : 11
% 17.23/2.81 # Positive unorientable unit clauses: 0
% 17.23/2.81 # Negative unit clauses : 3
% 17.23/2.81 # Non-unit-clauses : 444
% 17.23/2.81 # Current number of unprocessed clauses: 54819
% 17.23/2.81 # ...number of literals in the above : 355460
% 17.23/2.81 # Current number of archived formulas : 0
% 17.23/2.81 # Current number of archived clauses : 47
% 17.23/2.81 # Clause-clause subsumption calls (NU) : 63904
% 17.23/2.81 # Rec. Clause-clause subsumption calls : 17299
% 17.23/2.81 # Non-unit clause-clause subsumptions : 1493
% 17.23/2.81 # Unit Clause-clause subsumption calls : 225
% 17.23/2.81 # Rewrite failures with RHS unbound : 0
% 17.23/2.81 # BW rewrite match attempts : 199
% 17.23/2.81 # BW rewrite match successes : 8
% 17.23/2.81 # Condensation attempts : 0
% 17.23/2.81 # Condensation successes : 0
% 17.23/2.81 # Termbank termtop insertions : 3306429
% 17.23/2.81
% 17.23/2.81 # -------------------------------------------------
% 17.23/2.81 # User time : 2.286 s
% 17.23/2.81 # System time : 0.052 s
% 17.23/2.81 # Total time : 2.338 s
% 17.23/2.81 # Maximum resident set size: 2156 pages
% 17.23/2.81
% 17.23/2.81 # -------------------------------------------------
% 17.23/2.81 # User time : 11.574 s
% 17.23/2.81 # System time : 0.094 s
% 17.23/2.81 # Total time : 11.668 s
% 17.23/2.81 # Maximum resident set size: 1752 pages
% 17.23/2.81 % E---3.1 exiting
%------------------------------------------------------------------------------