%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYO064^4.004 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:42:16 AM UTC 2026
% Result : Theorem 0.20s 34.90s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 99
% Number of leaves : 18
% Syntax : Number of formulae : 225 ( 57 unt; 0 typ; 0 def)
% Number of atoms : 1057 ( 24 equ; 0 cnn)
% Maximal formula atoms : 27 ( 4 avg)
% Number of connectives : 2809 ( 394 ~; 651 |; 24 &;1699 @)
% ( 0 <=>; 41 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 40 ( 40 >; 0 *; 0 +; 0 <<)
% Number of symbols : 34 ( 32 usr; 10 con; 0-3 aty)
% Number of variables : 465 ( 56 ^; 409 !; 0 ?; 465 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_23,type,
irel: $i > $i > $o ).
thf(decl_24,type,
mnot: ( $i > $o ) > $i > $o ).
thf(decl_25,type,
mor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(decl_26,type,
mand: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(decl_27,type,
mimplies: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(decl_28,type,
mbox_s4: ( $i > $o ) > $i > $o ).
thf(decl_29,type,
iatom: ( $i > $o ) > $i > $o ).
thf(decl_33,type,
iand: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(decl_34,type,
ior: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(decl_35,type,
iimplies: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(decl_39,type,
ivalid: ( $i > $o ) > $o ).
thf(decl_43,type,
a: $i > $o ).
thf(decl_44,type,
a1: $i > $o ).
thf(decl_45,type,
a2: $i > $o ).
thf(decl_46,type,
a3: $i > $o ).
thf(decl_47,type,
a4: $i > $o ).
thf(decl_48,type,
b: $i > $o ).
thf(decl_49,type,
b1: $i > $o ).
thf(decl_50,type,
b2: $i > $o ).
thf(decl_51,type,
b3: $i > $o ).
thf(decl_52,type,
esk1_1: $i > $i ).
thf(decl_53,type,
esk2_1: $i > $i ).
thf(decl_54,type,
esk3_1: $i > $i ).
thf(decl_55,type,
esk4_0: $i ).
thf(decl_56,type,
esk5_0: $i ).
thf(decl_57,type,
esk6_0: $i ).
thf(decl_58,type,
esk7_0: $i ).
thf(decl_59,type,
esk8_0: $i ).
thf(decl_60,type,
esk9_0: $i ).
thf(decl_61,type,
esk10_0: $i ).
thf(decl_62,type,
esk11_0: $i ).
thf(decl_63,type,
esk12_0: $i ).
thf(ior,axiom,
( ior
= ( ^ [X12: $i > $o,X14: $i > $o] : ( mor @ ( mbox_s4 @ X12 ) @ ( mbox_s4 @ X14 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.tmrSCg4Ts8/E---3.1_3586269.p',ior) ).
thf(mor,axiom,
( mor
= ( ^ [X6: $i > $o,X7: $i > $o,X5: $i] :
( ( X6 @ X5 )
| ( X7 @ X5 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.tmrSCg4Ts8/E---3.1_3586269.p',mor) ).
thf(mbox_s4,axiom,
( mbox_s4
= ( ^ [X12: $i > $o,X1: $i] :
! [X2: $i] :
( ( irel @ X1 @ X2 )
=> ( X12 @ X2 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.tmrSCg4Ts8/E---3.1_3586269.p',mbox_s4) ).
thf(iand,axiom,
( iand
= ( ^ [X12: $i > $o,X14: $i > $o] : ( mand @ X12 @ X14 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.tmrSCg4Ts8/E---3.1_3586269.p',iand) ).
thf(mand,axiom,
( mand
= ( ^ [X8: $i > $o,X9: $i > $o,X5: $i] :
( ( X8 @ X5 )
& ( X9 @ X5 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.tmrSCg4Ts8/E---3.1_3586269.p',mand) ).
thf(iatom,axiom,
( iatom
= ( ^ [X12: $i > $o] : X12 ) ),
file('/export/starexec/sandbox2/tmp/tmp.tmrSCg4Ts8/E---3.1_3586269.p',iatom) ).
thf(ivalid,axiom,
( ivalid
= ( ^ [X15: $i > $o] :
! [X13: $i] : ( X15 @ X13 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.tmrSCg4Ts8/E---3.1_3586269.p',ivalid) ).
thf(con,conjecture,
ivalid @ ( ior @ ( iatom @ a ) @ ( ior @ ( iand @ ( iatom @ b ) @ ( iatom @ a1 ) ) @ ( ior @ ( iand @ ( iatom @ b1 ) @ ( iatom @ a2 ) ) @ ( ior @ ( iand @ ( iatom @ b2 ) @ ( iatom @ a3 ) ) @ ( iand @ ( iatom @ b3 ) @ ( iatom @ a4 ) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.tmrSCg4Ts8/E---3.1_3586269.p',con) ).
thf(axiom5,axiom,
ivalid @ ( ior @ ( ior @ ( iatom @ b ) @ ( iatom @ a ) ) @ ( iatom @ b ) ),
file('/export/starexec/sandbox2/tmp/tmp.tmrSCg4Ts8/E---3.1_3586269.p',axiom5) ).
thf(trans_axiom,axiom,
! [X1: $i,X2: $i,X3: $i] :
( ( ( irel @ X1 @ X2 )
& ( irel @ X2 @ X3 ) )
=> ( irel @ X1 @ X3 ) ),
file('/export/starexec/sandbox2/tmp/tmp.tmrSCg4Ts8/E---3.1_3586269.p',trans_axiom) ).
thf(mimplies,axiom,
( mimplies
= ( ^ [X10: $i > $o,X11: $i > $o] : ( mor @ ( mnot @ X10 ) @ X11 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.tmrSCg4Ts8/E---3.1_3586269.p',mimplies) ).
thf(mnot,axiom,
( mnot
= ( ^ [X4: $i > $o,X5: $i] :
~ ( X4 @ X5 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.tmrSCg4Ts8/E---3.1_3586269.p',mnot) ).
thf(iimplies,axiom,
( iimplies
= ( ^ [X12: $i > $o,X14: $i > $o] : ( mimplies @ ( mbox_s4 @ X12 ) @ ( mbox_s4 @ X14 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.tmrSCg4Ts8/E---3.1_3586269.p',iimplies) ).
thf(refl_axiom,axiom,
! [X1: $i] : ( irel @ X1 @ X1 ),
file('/export/starexec/sandbox2/tmp/tmp.tmrSCg4Ts8/E---3.1_3586269.p',refl_axiom) ).
thf(axiom4,axiom,
ivalid @ ( iimplies @ ( iatom @ b ) @ ( ior @ ( ior @ ( iatom @ b1 ) @ ( iatom @ a1 ) ) @ ( iatom @ b1 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.tmrSCg4Ts8/E---3.1_3586269.p',axiom4) ).
thf(axiom3,axiom,
ivalid @ ( iimplies @ ( iatom @ b1 ) @ ( ior @ ( ior @ ( iatom @ b2 ) @ ( iatom @ a2 ) ) @ ( iatom @ b2 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.tmrSCg4Ts8/E---3.1_3586269.p',axiom3) ).
thf(axiom2,axiom,
ivalid @ ( iimplies @ ( iatom @ b2 ) @ ( ior @ ( ior @ ( iatom @ b3 ) @ ( iatom @ a3 ) ) @ ( iatom @ b3 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.tmrSCg4Ts8/E---3.1_3586269.p',axiom2) ).
thf(axiom1,axiom,
ivalid @ ( iatom @ a4 ),
file('/export/starexec/sandbox2/tmp/tmp.tmrSCg4Ts8/E---3.1_3586269.p',axiom1) ).
thf(c_0_18,plain,
( ior
= ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
( ! [X22: $i] :
( ( irel @ Z2 @ X22 )
=> ( Z0 @ X22 ) )
| ! [X23: $i] :
( ( irel @ Z2 @ X23 )
=> ( Z1 @ X23 ) ) ) ) ),
inference(fof_simplification,[status(thm)],[ior]) ).
thf(c_0_19,plain,
( mor
= ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
( ( Z0 @ Z2 )
| ( Z1 @ Z2 ) ) ) ),
inference(fof_simplification,[status(thm)],[mor]) ).
thf(c_0_20,plain,
( mbox_s4
= ( ^ [Z0: $i > $o,Z1: $i] :
! [X2: $i] :
( ( irel @ Z1 @ X2 )
=> ( Z0 @ X2 ) ) ) ),
inference(fof_simplification,[status(thm)],[mbox_s4]) ).
thf(c_0_21,plain,
( iand
= ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
( ( Z0 @ Z2 )
& ( Z1 @ Z2 ) ) ) ),
inference(fof_simplification,[status(thm)],[iand]) ).
thf(c_0_22,plain,
( mand
= ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
( ( Z0 @ Z2 )
& ( Z1 @ Z2 ) ) ) ),
inference(fof_simplification,[status(thm)],[mand]) ).
thf(c_0_23,plain,
( iatom
= ( ^ [Z0: $i > $o] : Z0 ) ),
inference(fof_simplification,[status(thm)],[iatom]) ).
thf(c_0_24,plain,
( ior
= ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
( ! [X22: $i] :
( ( irel @ Z2 @ X22 )
=> ( Z0 @ X22 ) )
| ! [X23: $i] :
( ( irel @ Z2 @ X23 )
=> ( Z1 @ X23 ) ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_18,c_0_19]),c_0_20]) ).
thf(c_0_25,plain,
( ivalid
= ( ^ [Z0: $i > $o] :
! [X13: $i] : ( Z0 @ X13 ) ) ),
inference(fof_simplification,[status(thm)],[ivalid]) ).
thf(c_0_26,negated_conjecture,
~ ( ivalid @ ( ior @ ( iatom @ a ) @ ( ior @ ( iand @ ( iatom @ b ) @ ( iatom @ a1 ) ) @ ( ior @ ( iand @ ( iatom @ b1 ) @ ( iatom @ a2 ) ) @ ( ior @ ( iand @ ( iatom @ b2 ) @ ( iatom @ a3 ) ) @ ( iand @ ( iatom @ b3 ) @ ( iatom @ a4 ) ) ) ) ) ) ),
inference(assume_negation,[status(cth)],[con]) ).
thf(c_0_27,plain,
( iand
= ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
( ( Z0 @ Z2 )
& ( Z1 @ Z2 ) ) ) ),
inference(apply_def,[status(thm)],[c_0_21,c_0_22]) ).
thf(c_0_28,plain,
! [X63: $i] :
( ! [X61: $i] :
( ( irel @ X63 @ X61 )
=> ( ! [X59: $i] :
( ( irel @ X61 @ X59 )
=> ( b @ X59 ) )
| ! [X60: $i] :
( ( irel @ X61 @ X60 )
=> ( a @ X60 ) ) ) )
| ! [X62: $i] :
( ( irel @ X63 @ X62 )
=> ( b @ X62 ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[axiom5,c_0_23]),c_0_24]),c_0_25]) ).
thf(c_0_29,negated_conjecture,
~ ! [X72: $i] :
( ! [X70: $i] :
( ( irel @ X72 @ X70 )
=> ( a @ X70 ) )
| ! [X71: $i] :
( ( irel @ X72 @ X71 )
=> ( ! [X68: $i] :
( ( irel @ X71 @ X68 )
=> ( ( b @ X68 )
& ( a1 @ X68 ) ) )
| ! [X69: $i] :
( ( irel @ X71 @ X69 )
=> ( ! [X66: $i] :
( ( irel @ X69 @ X66 )
=> ( ( b1 @ X66 )
& ( a2 @ X66 ) ) )
| ! [X67: $i] :
( ( irel @ X69 @ X67 )
=> ( ! [X64: $i] :
( ( irel @ X67 @ X64 )
=> ( ( b2 @ X64 )
& ( a3 @ X64 ) ) )
| ! [X65: $i] :
( ( irel @ X67 @ X65 )
=> ( ( b3 @ X65 )
& ( a4 @ X65 ) ) ) ) ) ) ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_26,c_0_23]),c_0_27]),c_0_24]),c_0_25]) ).
thf(c_0_30,plain,
! [X99: $i,X100: $i,X101: $i,X102: $i,X103: $i] :
( ~ ( irel @ X99 @ X100 )
| ~ ( irel @ X100 @ X101 )
| ( b @ X101 )
| ~ ( irel @ X100 @ X102 )
| ( a @ X102 )
| ~ ( irel @ X99 @ X103 )
| ( b @ X103 ) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_28])])])]) ).
thf(c_0_31,negated_conjecture,
( ( irel @ esk4_0 @ esk5_0 )
& ~ ( a @ esk5_0 )
& ( irel @ esk4_0 @ esk6_0 )
& ( irel @ esk6_0 @ esk7_0 )
& ( ~ ( b @ esk7_0 )
| ~ ( a1 @ esk7_0 ) )
& ( irel @ esk6_0 @ esk8_0 )
& ( irel @ esk8_0 @ esk9_0 )
& ( ~ ( b1 @ esk9_0 )
| ~ ( a2 @ esk9_0 ) )
& ( irel @ esk8_0 @ esk10_0 )
& ( irel @ esk10_0 @ esk11_0 )
& ( ~ ( b2 @ esk11_0 )
| ~ ( a3 @ esk11_0 ) )
& ( irel @ esk10_0 @ esk12_0 )
& ( ~ ( b3 @ esk12_0 )
| ~ ( a4 @ esk12_0 ) ) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_29])])])]) ).
thf(c_0_32,plain,
! [X74: $i,X75: $i,X76: $i] :
( ~ ( irel @ X74 @ X75 )
| ~ ( irel @ X75 @ X76 )
| ( irel @ X74 @ X76 ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[trans_axiom])])]) ).
thf(c_0_33,plain,
( mimplies
= ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
( ~ ( Z0 @ Z2 )
| ( Z1 @ Z2 ) ) ) ),
inference(fof_simplification,[status(thm)],[mimplies]) ).
thf(c_0_34,plain,
( mnot
= ( ^ [Z0: $i > $o,Z1: $i] :
~ ( Z0 @ Z1 ) ) ),
inference(fof_simplification,[status(thm)],[mnot]) ).
thf(c_0_35,plain,
! [X2: $i,X1: $i,X5: $i,X3: $i,X13: $i] :
( ( b @ X3 )
| ( a @ X5 )
| ( b @ X13 )
| ~ ( irel @ X1 @ X2 )
| ~ ( irel @ X2 @ X3 )
| ~ ( irel @ X2 @ X5 )
| ~ ( irel @ X1 @ X13 ) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
thf(c_0_36,negated_conjecture,
irel @ esk4_0 @ esk5_0,
inference(split_conjunct,[status(thm)],[c_0_31]) ).
thf(c_0_37,negated_conjecture,
~ ( a @ esk5_0 ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
thf(c_0_38,plain,
! [X1: $i,X2: $i,X3: $i] :
( ( irel @ X1 @ X3 )
| ~ ( irel @ X1 @ X2 )
| ~ ( irel @ X2 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
thf(c_0_39,negated_conjecture,
irel @ esk6_0 @ esk7_0,
inference(split_conjunct,[status(thm)],[c_0_31]) ).
thf(c_0_40,plain,
( iimplies
= ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
( ~ ! [X24: $i] :
( ( irel @ Z2 @ X24 )
=> ( Z0 @ X24 ) )
| ! [X25: $i] :
( ( irel @ Z2 @ X25 )
=> ( Z1 @ X25 ) ) ) ) ),
inference(fof_simplification,[status(thm)],[iimplies]) ).
thf(c_0_41,plain,
( mimplies
= ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
( ~ ( Z0 @ Z2 )
| ( Z1 @ Z2 ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_33,c_0_34]),c_0_19]) ).
thf(c_0_42,negated_conjecture,
! [X1: $i,X3: $i,X2: $i] :
( ( b @ X1 )
| ( b @ X2 )
| ~ ( irel @ esk4_0 @ X1 )
| ~ ( irel @ X3 @ esk4_0 )
| ~ ( irel @ X3 @ X2 ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37]) ).
thf(c_0_43,negated_conjecture,
! [X1: $i] :
( ( irel @ X1 @ esk7_0 )
| ~ ( irel @ X1 @ esk6_0 ) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
thf(c_0_44,negated_conjecture,
irel @ esk4_0 @ esk6_0,
inference(split_conjunct,[status(thm)],[c_0_31]) ).
thf(c_0_45,plain,
! [X73: $i] : ( irel @ X73 @ X73 ),
inference(variable_rename,[status(thm)],[refl_axiom]) ).
thf(c_0_46,plain,
( iimplies
= ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
( ~ ! [X24: $i] :
( ( irel @ Z2 @ X24 )
=> ( Z0 @ X24 ) )
| ! [X25: $i] :
( ( irel @ Z2 @ X25 )
=> ( Z1 @ X25 ) ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_40,c_0_41]),c_0_20]) ).
thf(c_0_47,negated_conjecture,
! [X2: $i,X1: $i] :
( ( b @ esk7_0 )
| ( b @ X1 )
| ~ ( irel @ X2 @ esk4_0 )
| ~ ( irel @ X2 @ X1 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_44])]) ).
thf(c_0_48,plain,
! [X1: $i] : ( irel @ X1 @ X1 ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
thf(c_0_49,plain,
! [X58: $i] :
( ~ ! [X56: $i] :
( ( irel @ X58 @ X56 )
=> ( b @ X56 ) )
| ! [X57: $i] :
( ( irel @ X58 @ X57 )
=> ( ! [X54: $i] :
( ( irel @ X57 @ X54 )
=> ( ! [X52: $i] :
( ( irel @ X54 @ X52 )
=> ( b1 @ X52 ) )
| ! [X53: $i] :
( ( irel @ X54 @ X53 )
=> ( a1 @ X53 ) ) ) )
| ! [X55: $i] :
( ( irel @ X57 @ X55 )
=> ( b1 @ X55 ) ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[axiom4,c_0_23]),c_0_24]),c_0_46]),c_0_25]) ).
thf(c_0_50,negated_conjecture,
! [X1: $i] :
( ( b @ esk7_0 )
| ( b @ X1 )
| ~ ( irel @ esk4_0 @ X1 ) ),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
thf(c_0_51,plain,
! [X92: $i,X94: $i,X95: $i,X96: $i,X97: $i,X98: $i] :
( ( ( irel @ X92 @ ( esk3_1 @ X92 ) )
| ~ ( irel @ X92 @ X94 )
| ~ ( irel @ X94 @ X95 )
| ~ ( irel @ X95 @ X96 )
| ( b1 @ X96 )
| ~ ( irel @ X95 @ X97 )
| ( a1 @ X97 )
| ~ ( irel @ X94 @ X98 )
| ( b1 @ X98 ) )
& ( ~ ( b @ ( esk3_1 @ X92 ) )
| ~ ( irel @ X92 @ X94 )
| ~ ( irel @ X94 @ X95 )
| ~ ( irel @ X95 @ X96 )
| ( b1 @ X96 )
| ~ ( irel @ X95 @ X97 )
| ( a1 @ X97 )
| ~ ( irel @ X94 @ X98 )
| ( b1 @ X98 ) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_49])])])])])]) ).
thf(c_0_52,negated_conjecture,
( ~ ( b @ esk7_0 )
| ~ ( a1 @ esk7_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
thf(c_0_53,negated_conjecture,
b @ esk7_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_43]),c_0_44])]) ).
thf(c_0_54,plain,
! [X1: $i,X3: $i,X2: $i,X13: $i,X5: $i,X16: $i] :
( ( irel @ X1 @ ( esk3_1 @ X1 ) )
| ( b1 @ X5 )
| ( a1 @ X13 )
| ( b1 @ X16 )
| ~ ( irel @ X1 @ X2 )
| ~ ( irel @ X2 @ X3 )
| ~ ( irel @ X3 @ X5 )
| ~ ( irel @ X3 @ X13 )
| ~ ( irel @ X2 @ X16 ) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
thf(c_0_55,negated_conjecture,
~ ( a1 @ esk7_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_52,c_0_53])]) ).
thf(c_0_56,negated_conjecture,
irel @ esk8_0 @ esk9_0,
inference(split_conjunct,[status(thm)],[c_0_31]) ).
thf(c_0_57,negated_conjecture,
! [X1: $i,X3: $i,X2: $i,X5: $i] :
( ( irel @ X1 @ ( esk3_1 @ X1 ) )
| ( b1 @ X2 )
| ( b1 @ X3 )
| ~ ( irel @ esk6_0 @ X2 )
| ~ ( irel @ X5 @ esk6_0 )
| ~ ( irel @ X5 @ X3 )
| ~ ( irel @ X1 @ X5 ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_39]),c_0_55]) ).
thf(c_0_58,negated_conjecture,
! [X1: $i] :
( ( irel @ X1 @ esk9_0 )
| ~ ( irel @ X1 @ esk8_0 ) ),
inference(spm,[status(thm)],[c_0_38,c_0_56]) ).
thf(c_0_59,negated_conjecture,
irel @ esk6_0 @ esk8_0,
inference(split_conjunct,[status(thm)],[c_0_31]) ).
thf(c_0_60,negated_conjecture,
! [X1: $i,X2: $i,X3: $i] :
( ( irel @ X1 @ ( esk3_1 @ X1 ) )
| ( b1 @ esk9_0 )
| ( b1 @ X2 )
| ~ ( irel @ X3 @ esk6_0 )
| ~ ( irel @ X3 @ X2 )
| ~ ( irel @ X1 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_59])]) ).
thf(c_0_61,negated_conjecture,
! [X1: $i,X2: $i] :
( ( irel @ X1 @ esk9_0 )
| ~ ( irel @ X2 @ esk8_0 )
| ~ ( irel @ X1 @ X2 ) ),
inference(spm,[status(thm)],[c_0_38,c_0_58]) ).
thf(c_0_62,negated_conjecture,
! [X2: $i,X1: $i] :
( ( irel @ X1 @ ( esk3_1 @ X1 ) )
| ( b1 @ esk9_0 )
| ( b1 @ X2 )
| ~ ( irel @ esk4_0 @ X2 )
| ~ ( irel @ X1 @ esk4_0 ) ),
inference(spm,[status(thm)],[c_0_60,c_0_44]) ).
thf(c_0_63,negated_conjecture,
! [X1: $i] :
( ( irel @ X1 @ esk9_0 )
| ~ ( irel @ X1 @ esk6_0 ) ),
inference(spm,[status(thm)],[c_0_61,c_0_59]) ).
thf(c_0_64,negated_conjecture,
! [X1: $i] :
( ( irel @ X1 @ ( esk3_1 @ X1 ) )
| ( b1 @ esk9_0 )
| ~ ( irel @ X1 @ esk4_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_44])]) ).
thf(c_0_65,negated_conjecture,
( ( irel @ esk4_0 @ ( esk3_1 @ esk4_0 ) )
| ( b1 @ esk9_0 ) ),
inference(spm,[status(thm)],[c_0_64,c_0_48]) ).
thf(c_0_66,negated_conjecture,
! [X2: $i,X1: $i] :
( ( b @ ( esk3_1 @ esk4_0 ) )
| ( b1 @ esk9_0 )
| ( b @ X1 )
| ~ ( irel @ X2 @ esk4_0 )
| ~ ( irel @ X2 @ X1 ) ),
inference(spm,[status(thm)],[c_0_42,c_0_65]) ).
thf(c_0_67,negated_conjecture,
! [X1: $i] :
( ( b @ ( esk3_1 @ esk4_0 ) )
| ( b1 @ esk9_0 )
| ( b @ X1 )
| ~ ( irel @ esk4_0 @ X1 ) ),
inference(spm,[status(thm)],[c_0_66,c_0_48]) ).
thf(c_0_68,plain,
! [X1: $i,X3: $i,X2: $i,X13: $i,X5: $i,X16: $i] :
( ( b1 @ X5 )
| ( a1 @ X13 )
| ( b1 @ X16 )
| ~ ( b @ ( esk3_1 @ X1 ) )
| ~ ( irel @ X1 @ X2 )
| ~ ( irel @ X2 @ X3 )
| ~ ( irel @ X3 @ X5 )
| ~ ( irel @ X3 @ X13 )
| ~ ( irel @ X2 @ X16 ) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
thf(c_0_69,negated_conjecture,
( ( b @ ( esk3_1 @ esk4_0 ) )
| ( b1 @ esk9_0 ) ),
inference(spm,[status(thm)],[c_0_67,c_0_65]) ).
thf(c_0_70,negated_conjecture,
! [X1: $i,X3: $i,X2: $i,X5: $i,X13: $i] :
( ( b1 @ esk9_0 )
| ( b1 @ X1 )
| ( b1 @ X2 )
| ( a1 @ X3 )
| ~ ( irel @ esk4_0 @ X5 )
| ~ ( irel @ X13 @ X3 )
| ~ ( irel @ X13 @ X1 )
| ~ ( irel @ X5 @ X2 )
| ~ ( irel @ X5 @ X13 ) ),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
thf(c_0_71,negated_conjecture,
! [X2: $i,X1: $i,X5: $i,X3: $i] :
( ( b1 @ esk9_0 )
| ( a1 @ X1 )
| ( b1 @ X2 )
| ( b1 @ X3 )
| ~ ( irel @ esk4_0 @ X2 )
| ~ ( irel @ esk4_0 @ X5 )
| ~ ( irel @ X5 @ X1 )
| ~ ( irel @ X5 @ X3 ) ),
inference(spm,[status(thm)],[c_0_70,c_0_48]) ).
thf(c_0_72,negated_conjecture,
! [X3: $i,X2: $i,X1: $i] :
( ( b1 @ esk9_0 )
| ( b1 @ X1 )
| ( a1 @ X2 )
| ~ ( irel @ esk4_0 @ X3 )
| ~ ( irel @ X3 @ X2 )
| ~ ( irel @ X3 @ X1 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_63]),c_0_44])]) ).
thf(c_0_73,plain,
! [X51: $i] :
( ~ ! [X49: $i] :
( ( irel @ X51 @ X49 )
=> ( b1 @ X49 ) )
| ! [X50: $i] :
( ( irel @ X51 @ X50 )
=> ( ! [X47: $i] :
( ( irel @ X50 @ X47 )
=> ( ! [X45: $i] :
( ( irel @ X47 @ X45 )
=> ( b2 @ X45 ) )
| ! [X46: $i] :
( ( irel @ X47 @ X46 )
=> ( a2 @ X46 ) ) ) )
| ! [X48: $i] :
( ( irel @ X50 @ X48 )
=> ( b2 @ X48 ) ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[axiom3,c_0_23]),c_0_24]),c_0_46]),c_0_25]) ).
thf(c_0_74,negated_conjecture,
irel @ esk10_0 @ esk11_0,
inference(split_conjunct,[status(thm)],[c_0_31]) ).
thf(c_0_75,negated_conjecture,
! [X1: $i,X2: $i] :
( ( b1 @ esk9_0 )
| ( a1 @ X1 )
| ( b1 @ X2 )
| ~ ( irel @ esk4_0 @ X1 )
| ~ ( irel @ esk4_0 @ X2 ) ),
inference(spm,[status(thm)],[c_0_72,c_0_48]) ).
thf(c_0_76,plain,
! [X85: $i,X87: $i,X88: $i,X89: $i,X90: $i,X91: $i] :
( ( ( irel @ X85 @ ( esk2_1 @ X85 ) )
| ~ ( irel @ X85 @ X87 )
| ~ ( irel @ X87 @ X88 )
| ~ ( irel @ X88 @ X89 )
| ( b2 @ X89 )
| ~ ( irel @ X88 @ X90 )
| ( a2 @ X90 )
| ~ ( irel @ X87 @ X91 )
| ( b2 @ X91 ) )
& ( ~ ( b1 @ ( esk2_1 @ X85 ) )
| ~ ( irel @ X85 @ X87 )
| ~ ( irel @ X87 @ X88 )
| ~ ( irel @ X88 @ X89 )
| ( b2 @ X89 )
| ~ ( irel @ X88 @ X90 )
| ( a2 @ X90 )
| ~ ( irel @ X87 @ X91 )
| ( b2 @ X91 ) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_73])])])])])]) ).
thf(c_0_77,negated_conjecture,
! [X1: $i] :
( ( irel @ X1 @ esk11_0 )
| ~ ( irel @ X1 @ esk10_0 ) ),
inference(spm,[status(thm)],[c_0_38,c_0_74]) ).
thf(c_0_78,negated_conjecture,
! [X1: $i] :
( ( b1 @ esk9_0 )
| ( b1 @ X1 )
| ~ ( irel @ esk4_0 @ X1 ) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_43]),c_0_44])]),c_0_55]) ).
thf(c_0_79,plain,
! [X1: $i,X3: $i,X2: $i,X13: $i,X5: $i,X16: $i] :
( ( irel @ X1 @ ( esk2_1 @ X1 ) )
| ( b2 @ X5 )
| ( a2 @ X13 )
| ( b2 @ X16 )
| ~ ( irel @ X1 @ X2 )
| ~ ( irel @ X2 @ X3 )
| ~ ( irel @ X3 @ X5 )
| ~ ( irel @ X3 @ X13 )
| ~ ( irel @ X2 @ X16 ) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
thf(c_0_80,negated_conjecture,
! [X1: $i,X2: $i] :
( ( irel @ X1 @ esk11_0 )
| ~ ( irel @ X2 @ esk10_0 )
| ~ ( irel @ X1 @ X2 ) ),
inference(spm,[status(thm)],[c_0_38,c_0_77]) ).
thf(c_0_81,negated_conjecture,
irel @ esk8_0 @ esk10_0,
inference(split_conjunct,[status(thm)],[c_0_31]) ).
thf(c_0_82,negated_conjecture,
( ~ ( b1 @ esk9_0 )
| ~ ( a2 @ esk9_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
thf(c_0_83,negated_conjecture,
b1 @ esk9_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_63]),c_0_44])]) ).
thf(c_0_84,negated_conjecture,
! [X1: $i,X3: $i,X2: $i,X5: $i] :
( ( irel @ X1 @ ( esk2_1 @ X1 ) )
| ( a2 @ esk9_0 )
| ( b2 @ X2 )
| ( b2 @ X3 )
| ~ ( irel @ esk8_0 @ X2 )
| ~ ( irel @ X5 @ esk8_0 )
| ~ ( irel @ X5 @ X3 )
| ~ ( irel @ X1 @ X5 ) ),
inference(spm,[status(thm)],[c_0_79,c_0_56]) ).
thf(c_0_85,negated_conjecture,
! [X1: $i] :
( ( irel @ X1 @ esk11_0 )
| ~ ( irel @ X1 @ esk8_0 ) ),
inference(spm,[status(thm)],[c_0_80,c_0_81]) ).
thf(c_0_86,negated_conjecture,
~ ( a2 @ esk9_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_82,c_0_83])]) ).
thf(c_0_87,negated_conjecture,
! [X1: $i,X2: $i] :
( ( irel @ X1 @ esk7_0 )
| ~ ( irel @ X2 @ esk6_0 )
| ~ ( irel @ X1 @ X2 ) ),
inference(spm,[status(thm)],[c_0_38,c_0_43]) ).
thf(c_0_88,negated_conjecture,
! [X1: $i,X2: $i,X3: $i] :
( ( irel @ X1 @ ( esk2_1 @ X1 ) )
| ( b2 @ esk11_0 )
| ( b2 @ X2 )
| ~ ( irel @ X3 @ esk8_0 )
| ~ ( irel @ X3 @ X2 )
| ~ ( irel @ X1 @ X3 ) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_48])]),c_0_86]) ).
thf(c_0_89,negated_conjecture,
! [X1: $i] :
( ( irel @ X1 @ esk7_0 )
| ~ ( irel @ X1 @ esk4_0 ) ),
inference(spm,[status(thm)],[c_0_87,c_0_44]) ).
thf(c_0_90,negated_conjecture,
! [X2: $i,X1: $i] :
( ( irel @ X1 @ ( esk2_1 @ X1 ) )
| ( b2 @ esk11_0 )
| ( b2 @ X2 )
| ~ ( irel @ esk6_0 @ X2 )
| ~ ( irel @ X1 @ esk6_0 ) ),
inference(spm,[status(thm)],[c_0_88,c_0_59]) ).
thf(c_0_91,negated_conjecture,
irel @ esk4_0 @ esk7_0,
inference(spm,[status(thm)],[c_0_89,c_0_48]) ).
thf(c_0_92,negated_conjecture,
! [X1: $i] :
( ( irel @ X1 @ ( esk2_1 @ X1 ) )
| ( b2 @ esk11_0 )
| ~ ( irel @ X1 @ esk6_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_85]),c_0_59])]) ).
thf(c_0_93,negated_conjecture,
! [X1: $i,X3: $i,X2: $i,X5: $i] :
( ( irel @ X1 @ ( esk3_1 @ X1 ) )
| ( b1 @ X2 )
| ( b1 @ X3 )
| ~ ( irel @ esk4_0 @ X2 )
| ~ ( irel @ X5 @ esk4_0 )
| ~ ( irel @ X5 @ X3 )
| ~ ( irel @ X1 @ X5 ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_91]),c_0_55]) ).
thf(c_0_94,negated_conjecture,
( ( irel @ esk4_0 @ ( esk2_1 @ esk4_0 ) )
| ( b2 @ esk11_0 ) ),
inference(spm,[status(thm)],[c_0_92,c_0_44]) ).
thf(c_0_95,negated_conjecture,
! [X1: $i,X2: $i,X3: $i] :
( ( b1 @ ( esk2_1 @ esk4_0 ) )
| ( irel @ X1 @ ( esk3_1 @ X1 ) )
| ( b2 @ esk11_0 )
| ( b1 @ X2 )
| ~ ( irel @ X3 @ esk4_0 )
| ~ ( irel @ X3 @ X2 )
| ~ ( irel @ X1 @ X3 ) ),
inference(spm,[status(thm)],[c_0_93,c_0_94]) ).
thf(c_0_96,negated_conjecture,
! [X2: $i,X1: $i] :
( ( irel @ X1 @ ( esk3_1 @ X1 ) )
| ( b1 @ ( esk2_1 @ esk4_0 ) )
| ( b2 @ esk11_0 )
| ( b1 @ X2 )
| ~ ( irel @ esk4_0 @ X2 )
| ~ ( irel @ X1 @ esk4_0 ) ),
inference(spm,[status(thm)],[c_0_95,c_0_48]) ).
thf(c_0_97,negated_conjecture,
! [X1: $i] :
( ( b1 @ ( esk2_1 @ esk4_0 ) )
| ( irel @ X1 @ ( esk3_1 @ X1 ) )
| ( b2 @ esk11_0 )
| ~ ( irel @ X1 @ esk4_0 ) ),
inference(spm,[status(thm)],[c_0_96,c_0_94]) ).
thf(c_0_98,plain,
! [X1: $i,X3: $i,X2: $i,X13: $i,X5: $i,X16: $i] :
( ( b2 @ X5 )
| ( a2 @ X13 )
| ( b2 @ X16 )
| ~ ( b1 @ ( esk2_1 @ X1 ) )
| ~ ( irel @ X1 @ X2 )
| ~ ( irel @ X2 @ X3 )
| ~ ( irel @ X3 @ X5 )
| ~ ( irel @ X3 @ X13 )
| ~ ( irel @ X2 @ X16 ) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
thf(c_0_99,negated_conjecture,
( ( irel @ esk4_0 @ ( esk3_1 @ esk4_0 ) )
| ( b1 @ ( esk2_1 @ esk4_0 ) )
| ( b2 @ esk11_0 ) ),
inference(spm,[status(thm)],[c_0_97,c_0_48]) ).
thf(c_0_100,negated_conjecture,
! [X1: $i,X3: $i,X2: $i,X5: $i,X13: $i] :
( ( irel @ esk4_0 @ ( esk3_1 @ esk4_0 ) )
| ( b2 @ esk11_0 )
| ( b2 @ X1 )
| ( b2 @ X2 )
| ( a2 @ X3 )
| ~ ( irel @ esk4_0 @ X5 )
| ~ ( irel @ X13 @ X3 )
| ~ ( irel @ X13 @ X1 )
| ~ ( irel @ X5 @ X2 )
| ~ ( irel @ X5 @ X13 ) ),
inference(spm,[status(thm)],[c_0_98,c_0_99]) ).
thf(c_0_101,negated_conjecture,
! [X1: $i] :
( ( irel @ X1 @ esk8_0 )
| ~ ( irel @ X1 @ esk6_0 ) ),
inference(spm,[status(thm)],[c_0_38,c_0_59]) ).
thf(c_0_102,negated_conjecture,
! [X2: $i,X1: $i,X5: $i,X3: $i] :
( ( irel @ esk4_0 @ ( esk3_1 @ esk4_0 ) )
| ( b2 @ esk11_0 )
| ( a2 @ X1 )
| ( b2 @ X2 )
| ( b2 @ X3 )
| ~ ( irel @ esk8_0 @ X2 )
| ~ ( irel @ esk8_0 @ X5 )
| ~ ( irel @ X5 @ X1 )
| ~ ( irel @ X5 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_44])]) ).
thf(c_0_103,negated_conjecture,
! [X3: $i,X2: $i,X1: $i] :
( ( irel @ esk4_0 @ ( esk3_1 @ esk4_0 ) )
| ( b2 @ esk11_0 )
| ( b2 @ X1 )
| ( a2 @ X2 )
| ~ ( irel @ esk8_0 @ X3 )
| ~ ( irel @ X3 @ X2 )
| ~ ( irel @ X3 @ X1 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_85]),c_0_48])]) ).
thf(c_0_104,negated_conjecture,
! [X1: $i,X2: $i] :
( ( irel @ esk4_0 @ ( esk3_1 @ esk4_0 ) )
| ( b2 @ esk11_0 )
| ( a2 @ X1 )
| ( b2 @ X2 )
| ~ ( irel @ esk8_0 @ X1 )
| ~ ( irel @ esk8_0 @ X2 ) ),
inference(spm,[status(thm)],[c_0_103,c_0_48]) ).
thf(c_0_105,negated_conjecture,
! [X1: $i] :
( ( irel @ esk4_0 @ ( esk3_1 @ esk4_0 ) )
| ( b2 @ esk11_0 )
| ( b2 @ X1 )
| ~ ( irel @ esk8_0 @ X1 ) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_58]),c_0_48])]),c_0_86]) ).
thf(c_0_106,negated_conjecture,
( ( irel @ esk4_0 @ ( esk3_1 @ esk4_0 ) )
| ( b2 @ esk11_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_85]),c_0_48])]) ).
thf(c_0_107,negated_conjecture,
! [X2: $i,X1: $i] :
( ( b @ ( esk3_1 @ esk4_0 ) )
| ( b2 @ esk11_0 )
| ( b @ X1 )
| ~ ( irel @ X2 @ esk4_0 )
| ~ ( irel @ X2 @ X1 ) ),
inference(spm,[status(thm)],[c_0_42,c_0_106]) ).
thf(c_0_108,negated_conjecture,
! [X2: $i,X1: $i] :
( ( irel @ X1 @ ( esk2_1 @ X1 ) )
| ( b2 @ esk11_0 )
| ( b2 @ X2 )
| ~ ( irel @ esk8_0 @ X2 )
| ~ ( irel @ X1 @ esk8_0 ) ),
inference(spm,[status(thm)],[c_0_88,c_0_48]) ).
thf(c_0_109,plain,
! [X44: $i] :
( ~ ! [X42: $i] :
( ( irel @ X44 @ X42 )
=> ( b2 @ X42 ) )
| ! [X43: $i] :
( ( irel @ X44 @ X43 )
=> ( ! [X40: $i] :
( ( irel @ X43 @ X40 )
=> ( ! [X38: $i] :
( ( irel @ X40 @ X38 )
=> ( b3 @ X38 ) )
| ! [X39: $i] :
( ( irel @ X40 @ X39 )
=> ( a3 @ X39 ) ) ) )
| ! [X41: $i] :
( ( irel @ X43 @ X41 )
=> ( b3 @ X41 ) ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[axiom2,c_0_23]),c_0_24]),c_0_46]),c_0_25]) ).
thf(c_0_110,plain,
! [X37: $i] : ( a4 @ X37 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[axiom1,c_0_23]),c_0_25]) ).
thf(c_0_111,negated_conjecture,
! [X1: $i] :
( ( b @ ( esk3_1 @ esk4_0 ) )
| ( b2 @ esk11_0 )
| ( b @ X1 )
| ~ ( irel @ esk4_0 @ X1 ) ),
inference(spm,[status(thm)],[c_0_107,c_0_48]) ).
thf(c_0_112,negated_conjecture,
! [X1: $i] :
( ( irel @ X1 @ ( esk2_1 @ X1 ) )
| ( b2 @ esk11_0 )
| ~ ( irel @ X1 @ esk8_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_85]),c_0_48])]) ).
thf(c_0_113,negated_conjecture,
! [X1: $i,X2: $i] :
( ( irel @ X1 @ esk8_0 )
| ~ ( irel @ X2 @ esk6_0 )
| ~ ( irel @ X1 @ X2 ) ),
inference(spm,[status(thm)],[c_0_38,c_0_101]) ).
thf(c_0_114,plain,
! [X78: $i,X80: $i,X81: $i,X82: $i,X83: $i,X84: $i] :
( ( ( irel @ X78 @ ( esk1_1 @ X78 ) )
| ~ ( irel @ X78 @ X80 )
| ~ ( irel @ X80 @ X81 )
| ~ ( irel @ X81 @ X82 )
| ( b3 @ X82 )
| ~ ( irel @ X81 @ X83 )
| ( a3 @ X83 )
| ~ ( irel @ X80 @ X84 )
| ( b3 @ X84 ) )
& ( ~ ( b2 @ ( esk1_1 @ X78 ) )
| ~ ( irel @ X78 @ X80 )
| ~ ( irel @ X80 @ X81 )
| ~ ( irel @ X81 @ X82 )
| ( b3 @ X82 )
| ~ ( irel @ X81 @ X83 )
| ( a3 @ X83 )
| ~ ( irel @ X80 @ X84 )
| ( b3 @ X84 ) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_109])])])])])]) ).
thf(c_0_115,plain,
! [X77: $i] : ( a4 @ X77 ),
inference(variable_rename,[status(thm)],[c_0_110]) ).
thf(c_0_116,negated_conjecture,
( ( b @ ( esk3_1 @ esk4_0 ) )
| ( b2 @ esk11_0 ) ),
inference(spm,[status(thm)],[c_0_111,c_0_106]) ).
thf(c_0_117,negated_conjecture,
( ( irel @ esk8_0 @ ( esk2_1 @ esk8_0 ) )
| ( b2 @ esk11_0 ) ),
inference(spm,[status(thm)],[c_0_112,c_0_48]) ).
thf(c_0_118,negated_conjecture,
! [X1: $i] :
( ( irel @ X1 @ esk8_0 )
| ~ ( irel @ X1 @ esk4_0 ) ),
inference(spm,[status(thm)],[c_0_113,c_0_44]) ).
thf(c_0_119,plain,
! [X1: $i,X3: $i,X2: $i,X13: $i,X5: $i,X16: $i] :
( ( irel @ X1 @ ( esk1_1 @ X1 ) )
| ( b3 @ X5 )
| ( a3 @ X13 )
| ( b3 @ X16 )
| ~ ( irel @ X1 @ X2 )
| ~ ( irel @ X2 @ X3 )
| ~ ( irel @ X3 @ X5 )
| ~ ( irel @ X3 @ X13 )
| ~ ( irel @ X2 @ X16 ) ),
inference(split_conjunct,[status(thm)],[c_0_114]) ).
thf(c_0_120,negated_conjecture,
irel @ esk10_0 @ esk12_0,
inference(split_conjunct,[status(thm)],[c_0_31]) ).
thf(c_0_121,negated_conjecture,
( ~ ( b3 @ esk12_0 )
| ~ ( a4 @ esk12_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
thf(c_0_122,plain,
! [X1: $i] : ( a4 @ X1 ),
inference(split_conjunct,[status(thm)],[c_0_115]) ).
thf(c_0_123,negated_conjecture,
! [X1: $i,X3: $i,X2: $i,X5: $i,X13: $i] :
( ( b2 @ esk11_0 )
| ( b1 @ X1 )
| ( b1 @ X2 )
| ( a1 @ X3 )
| ~ ( irel @ esk4_0 @ X5 )
| ~ ( irel @ X13 @ X3 )
| ~ ( irel @ X13 @ X1 )
| ~ ( irel @ X5 @ X2 )
| ~ ( irel @ X5 @ X13 ) ),
inference(spm,[status(thm)],[c_0_68,c_0_116]) ).
thf(c_0_124,negated_conjecture,
! [X1: $i] :
( ( irel @ X1 @ ( esk2_1 @ esk8_0 ) )
| ( b2 @ esk11_0 )
| ~ ( irel @ X1 @ esk8_0 ) ),
inference(spm,[status(thm)],[c_0_38,c_0_117]) ).
thf(c_0_125,negated_conjecture,
irel @ esk4_0 @ esk8_0,
inference(spm,[status(thm)],[c_0_118,c_0_48]) ).
thf(c_0_126,negated_conjecture,
! [X1: $i,X3: $i,X2: $i,X5: $i] :
( ( irel @ X1 @ ( esk1_1 @ X1 ) )
| ( a3 @ esk11_0 )
| ( b3 @ X2 )
| ( b3 @ X3 )
| ~ ( irel @ esk10_0 @ X2 )
| ~ ( irel @ X5 @ esk10_0 )
| ~ ( irel @ X5 @ X3 )
| ~ ( irel @ X1 @ X5 ) ),
inference(spm,[status(thm)],[c_0_119,c_0_74]) ).
thf(c_0_127,negated_conjecture,
! [X1: $i] :
( ( irel @ X1 @ esk12_0 )
| ~ ( irel @ X1 @ esk10_0 ) ),
inference(spm,[status(thm)],[c_0_38,c_0_120]) ).
thf(c_0_128,negated_conjecture,
~ ( b3 @ esk12_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_121,c_0_122])]) ).
thf(c_0_129,negated_conjecture,
! [X2: $i,X1: $i,X5: $i,X3: $i] :
( ( b2 @ esk11_0 )
| ( a1 @ X1 )
| ( b1 @ X2 )
| ( b1 @ X3 )
| ~ ( irel @ esk4_0 @ X2 )
| ~ ( irel @ esk4_0 @ X5 )
| ~ ( irel @ X5 @ X1 )
| ~ ( irel @ X5 @ X3 ) ),
inference(spm,[status(thm)],[c_0_123,c_0_48]) ).
thf(c_0_130,negated_conjecture,
( ( irel @ esk4_0 @ ( esk2_1 @ esk8_0 ) )
| ( b2 @ esk11_0 ) ),
inference(spm,[status(thm)],[c_0_124,c_0_125]) ).
thf(c_0_131,negated_conjecture,
! [X1: $i,X2: $i,X3: $i] :
( ( irel @ X1 @ ( esk1_1 @ X1 ) )
| ( a3 @ esk11_0 )
| ( b3 @ X2 )
| ~ ( irel @ X3 @ esk10_0 )
| ~ ( irel @ X3 @ X2 )
| ~ ( irel @ X1 @ X3 ) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_127]),c_0_48])]),c_0_128]) ).
thf(c_0_132,negated_conjecture,
! [X3: $i,X2: $i,X1: $i] :
( ( b1 @ ( esk2_1 @ esk8_0 ) )
| ( b2 @ esk11_0 )
| ( b1 @ X1 )
| ( a1 @ X2 )
| ~ ( irel @ esk4_0 @ X3 )
| ~ ( irel @ X3 @ X2 )
| ~ ( irel @ X3 @ X1 ) ),
inference(spm,[status(thm)],[c_0_129,c_0_130]) ).
thf(c_0_133,negated_conjecture,
! [X2: $i,X1: $i] :
( ( irel @ X1 @ ( esk1_1 @ X1 ) )
| ( a3 @ esk11_0 )
| ( b3 @ X2 )
| ~ ( irel @ esk10_0 @ X2 )
| ~ ( irel @ X1 @ esk10_0 ) ),
inference(spm,[status(thm)],[c_0_131,c_0_48]) ).
thf(c_0_134,negated_conjecture,
! [X1: $i,X2: $i] :
( ( b1 @ ( esk2_1 @ esk8_0 ) )
| ( b2 @ esk11_0 )
| ( a1 @ X1 )
| ( b1 @ X2 )
| ~ ( irel @ esk4_0 @ X1 )
| ~ ( irel @ esk4_0 @ X2 ) ),
inference(spm,[status(thm)],[c_0_132,c_0_48]) ).
thf(c_0_135,negated_conjecture,
! [X1: $i] :
( ( irel @ X1 @ ( esk1_1 @ X1 ) )
| ( a3 @ esk11_0 )
| ~ ( irel @ X1 @ esk10_0 ) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_127]),c_0_48])]),c_0_128]) ).
thf(c_0_136,negated_conjecture,
! [X1: $i] :
( ( irel @ X1 @ esk10_0 )
| ~ ( irel @ X1 @ esk8_0 ) ),
inference(spm,[status(thm)],[c_0_38,c_0_81]) ).
thf(c_0_137,negated_conjecture,
! [X1: $i] :
( ( b1 @ ( esk2_1 @ esk8_0 ) )
| ( b2 @ esk11_0 )
| ( b1 @ X1 )
| ~ ( irel @ esk4_0 @ X1 ) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_43]),c_0_44])]),c_0_55]) ).
thf(c_0_138,negated_conjecture,
( ( irel @ esk10_0 @ ( esk1_1 @ esk10_0 ) )
| ( a3 @ esk11_0 ) ),
inference(spm,[status(thm)],[c_0_135,c_0_48]) ).
thf(c_0_139,negated_conjecture,
! [X1: $i,X2: $i] :
( ( irel @ X1 @ esk10_0 )
| ~ ( irel @ X2 @ esk8_0 )
| ~ ( irel @ X1 @ X2 ) ),
inference(spm,[status(thm)],[c_0_38,c_0_136]) ).
thf(c_0_140,negated_conjecture,
( ( b1 @ ( esk2_1 @ esk8_0 ) )
| ( b2 @ esk11_0 ) ),
inference(spm,[status(thm)],[c_0_137,c_0_130]) ).
thf(c_0_141,negated_conjecture,
! [X1: $i] :
( ( irel @ X1 @ ( esk1_1 @ esk10_0 ) )
| ( a3 @ esk11_0 )
| ~ ( irel @ X1 @ esk10_0 ) ),
inference(spm,[status(thm)],[c_0_38,c_0_138]) ).
thf(c_0_142,negated_conjecture,
! [X1: $i] :
( ( irel @ X1 @ esk10_0 )
| ~ ( irel @ X1 @ esk6_0 ) ),
inference(spm,[status(thm)],[c_0_139,c_0_59]) ).
thf(c_0_143,negated_conjecture,
! [X1: $i,X3: $i,X2: $i,X5: $i,X13: $i] :
( ( b2 @ esk11_0 )
| ( b2 @ X1 )
| ( b2 @ X2 )
| ( a2 @ X3 )
| ~ ( irel @ esk8_0 @ X5 )
| ~ ( irel @ X13 @ X3 )
| ~ ( irel @ X13 @ X1 )
| ~ ( irel @ X5 @ X2 )
| ~ ( irel @ X5 @ X13 ) ),
inference(spm,[status(thm)],[c_0_98,c_0_140]) ).
thf(c_0_144,negated_conjecture,
! [X2: $i,X1: $i,X5: $i,X3: $i,X13: $i] :
( ( irel @ X1 @ ( esk2_1 @ X1 ) )
| ( a2 @ esk9_0 )
| ( b2 @ X2 )
| ( b2 @ X3 )
| ~ ( irel @ X5 @ esk8_0 )
| ~ ( irel @ X5 @ X2 )
| ~ ( irel @ X13 @ X3 )
| ~ ( irel @ X13 @ X5 )
| ~ ( irel @ X1 @ X13 ) ),
inference(spm,[status(thm)],[c_0_79,c_0_58]) ).
thf(c_0_145,negated_conjecture,
! [X1: $i] :
( ( irel @ X1 @ ( esk1_1 @ esk10_0 ) )
| ( a3 @ esk11_0 )
| ~ ( irel @ X1 @ esk6_0 ) ),
inference(spm,[status(thm)],[c_0_141,c_0_142]) ).
thf(c_0_146,negated_conjecture,
! [X2: $i,X1: $i,X5: $i,X3: $i] :
( ( b2 @ esk11_0 )
| ( a2 @ X1 )
| ( b2 @ X2 )
| ( b2 @ X3 )
| ~ ( irel @ esk8_0 @ X2 )
| ~ ( irel @ esk8_0 @ X5 )
| ~ ( irel @ X5 @ X1 )
| ~ ( irel @ X5 @ X3 ) ),
inference(spm,[status(thm)],[c_0_143,c_0_48]) ).
thf(c_0_147,negated_conjecture,
! [X1: $i,X3: $i,X2: $i,X5: $i] :
( ( irel @ X1 @ ( esk2_1 @ X1 ) )
| ( b2 @ X2 )
| ( b2 @ X3 )
| ~ ( irel @ esk6_0 @ X3 )
| ~ ( irel @ X5 @ esk6_0 )
| ~ ( irel @ X5 @ X2 )
| ~ ( irel @ X1 @ X5 ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_59]),c_0_86]) ).
thf(c_0_148,negated_conjecture,
( ( irel @ esk6_0 @ ( esk1_1 @ esk10_0 ) )
| ( a3 @ esk11_0 ) ),
inference(spm,[status(thm)],[c_0_145,c_0_48]) ).
thf(c_0_149,negated_conjecture,
! [X1: $i] :
( ( irel @ X1 @ esk10_0 )
| ~ ( irel @ X1 @ esk4_0 ) ),
inference(spm,[status(thm)],[c_0_139,c_0_125]) ).
thf(c_0_150,negated_conjecture,
! [X3: $i,X2: $i,X1: $i] :
( ( b2 @ esk11_0 )
| ( b2 @ X1 )
| ( a2 @ X2 )
| ~ ( irel @ esk8_0 @ X3 )
| ~ ( irel @ X3 @ X2 )
| ~ ( irel @ X3 @ X1 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_85]),c_0_48])]) ).
thf(c_0_151,negated_conjecture,
! [X1: $i,X2: $i,X3: $i] :
( ( b2 @ ( esk1_1 @ esk10_0 ) )
| ( irel @ X1 @ ( esk2_1 @ X1 ) )
| ( a3 @ esk11_0 )
| ( b2 @ X2 )
| ~ ( irel @ X3 @ esk6_0 )
| ~ ( irel @ X3 @ X2 )
| ~ ( irel @ X1 @ X3 ) ),
inference(spm,[status(thm)],[c_0_147,c_0_148]) ).
thf(c_0_152,negated_conjecture,
irel @ esk4_0 @ esk10_0,
inference(spm,[status(thm)],[c_0_149,c_0_48]) ).
thf(c_0_153,negated_conjecture,
! [X1: $i,X2: $i] :
( ( b2 @ esk11_0 )
| ( a2 @ X1 )
| ( b2 @ X2 )
| ~ ( irel @ esk8_0 @ X1 )
| ~ ( irel @ esk8_0 @ X2 ) ),
inference(spm,[status(thm)],[c_0_150,c_0_48]) ).
thf(c_0_154,negated_conjecture,
! [X2: $i,X1: $i] :
( ( irel @ X1 @ ( esk2_1 @ X1 ) )
| ( b2 @ ( esk1_1 @ esk10_0 ) )
| ( a3 @ esk11_0 )
| ( b2 @ X2 )
| ~ ( irel @ esk4_0 @ X2 )
| ~ ( irel @ X1 @ esk4_0 ) ),
inference(spm,[status(thm)],[c_0_151,c_0_44]) ).
thf(c_0_155,negated_conjecture,
( ( irel @ esk4_0 @ ( esk1_1 @ esk10_0 ) )
| ( a3 @ esk11_0 ) ),
inference(spm,[status(thm)],[c_0_141,c_0_152]) ).
thf(c_0_156,negated_conjecture,
! [X1: $i] :
( ( b2 @ esk11_0 )
| ( b2 @ X1 )
| ~ ( irel @ esk8_0 @ X1 ) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_58]),c_0_48])]),c_0_86]) ).
thf(c_0_157,negated_conjecture,
! [X1: $i] :
( ( b2 @ ( esk1_1 @ esk10_0 ) )
| ( irel @ X1 @ ( esk2_1 @ X1 ) )
| ( a3 @ esk11_0 )
| ~ ( irel @ X1 @ esk4_0 ) ),
inference(spm,[status(thm)],[c_0_154,c_0_155]) ).
thf(c_0_158,negated_conjecture,
( ~ ( b2 @ esk11_0 )
| ~ ( a3 @ esk11_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
thf(c_0_159,negated_conjecture,
b2 @ esk11_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_85]),c_0_48])]) ).
thf(c_0_160,negated_conjecture,
( ( irel @ esk4_0 @ ( esk2_1 @ esk4_0 ) )
| ( b2 @ ( esk1_1 @ esk10_0 ) )
| ( a3 @ esk11_0 ) ),
inference(spm,[status(thm)],[c_0_157,c_0_48]) ).
thf(c_0_161,negated_conjecture,
~ ( a3 @ esk11_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_158,c_0_159])]) ).
thf(c_0_162,plain,
! [X1: $i,X3: $i,X2: $i,X13: $i,X5: $i,X16: $i] :
( ( b3 @ X5 )
| ( a3 @ X13 )
| ( b3 @ X16 )
| ~ ( b2 @ ( esk1_1 @ X1 ) )
| ~ ( irel @ X1 @ X2 )
| ~ ( irel @ X2 @ X3 )
| ~ ( irel @ X3 @ X5 )
| ~ ( irel @ X3 @ X13 )
| ~ ( irel @ X2 @ X16 ) ),
inference(split_conjunct,[status(thm)],[c_0_114]) ).
thf(c_0_163,negated_conjecture,
( ( irel @ esk4_0 @ ( esk2_1 @ esk4_0 ) )
| ( b2 @ ( esk1_1 @ esk10_0 ) ) ),
inference(sr,[status(thm)],[c_0_160,c_0_161]) ).
thf(c_0_164,negated_conjecture,
! [X1: $i,X3: $i,X2: $i,X5: $i,X13: $i] :
( ( irel @ esk4_0 @ ( esk2_1 @ esk4_0 ) )
| ( b3 @ X1 )
| ( b3 @ X2 )
| ( a3 @ X3 )
| ~ ( irel @ esk10_0 @ X5 )
| ~ ( irel @ X13 @ X3 )
| ~ ( irel @ X13 @ X1 )
| ~ ( irel @ X5 @ X2 )
| ~ ( irel @ X5 @ X13 ) ),
inference(spm,[status(thm)],[c_0_162,c_0_163]) ).
thf(c_0_165,negated_conjecture,
! [X2: $i,X1: $i,X5: $i,X3: $i] :
( ( irel @ esk4_0 @ ( esk2_1 @ esk4_0 ) )
| ( a3 @ X1 )
| ( b3 @ X2 )
| ( b3 @ X3 )
| ~ ( irel @ esk10_0 @ X2 )
| ~ ( irel @ esk10_0 @ X5 )
| ~ ( irel @ X5 @ X1 )
| ~ ( irel @ X5 @ X3 ) ),
inference(spm,[status(thm)],[c_0_164,c_0_48]) ).
thf(c_0_166,negated_conjecture,
! [X3: $i,X2: $i,X1: $i] :
( ( irel @ esk4_0 @ ( esk2_1 @ esk4_0 ) )
| ( b3 @ X1 )
| ( a3 @ X2 )
| ~ ( irel @ esk10_0 @ X3 )
| ~ ( irel @ X3 @ X2 )
| ~ ( irel @ X3 @ X1 ) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_127]),c_0_48])]),c_0_128]) ).
thf(c_0_167,negated_conjecture,
! [X1: $i,X2: $i] :
( ( irel @ esk4_0 @ ( esk2_1 @ esk4_0 ) )
| ( a3 @ X1 )
| ( b3 @ X2 )
| ~ ( irel @ esk10_0 @ X1 )
| ~ ( irel @ esk10_0 @ X2 ) ),
inference(spm,[status(thm)],[c_0_166,c_0_48]) ).
thf(c_0_168,negated_conjecture,
! [X1: $i] :
( ( irel @ esk4_0 @ ( esk2_1 @ esk4_0 ) )
| ( b3 @ X1 )
| ~ ( irel @ esk10_0 @ X1 ) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_77]),c_0_48])]),c_0_161]) ).
thf(c_0_169,negated_conjecture,
irel @ esk4_0 @ ( esk2_1 @ esk4_0 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_127]),c_0_48])]),c_0_128]) ).
thf(c_0_170,negated_conjecture,
! [X1: $i,X2: $i,X3: $i] :
( ( b1 @ ( esk2_1 @ esk4_0 ) )
| ( irel @ X1 @ ( esk3_1 @ X1 ) )
| ( b1 @ X2 )
| ~ ( irel @ X3 @ esk4_0 )
| ~ ( irel @ X3 @ X2 )
| ~ ( irel @ X1 @ X3 ) ),
inference(spm,[status(thm)],[c_0_93,c_0_169]) ).
thf(c_0_171,negated_conjecture,
! [X2: $i,X1: $i] :
( ( irel @ X1 @ ( esk3_1 @ X1 ) )
| ( b1 @ ( esk2_1 @ esk4_0 ) )
| ( b1 @ X2 )
| ~ ( irel @ esk4_0 @ X2 )
| ~ ( irel @ X1 @ esk4_0 ) ),
inference(spm,[status(thm)],[c_0_170,c_0_48]) ).
thf(c_0_172,negated_conjecture,
! [X1: $i] :
( ( irel @ X1 @ ( esk2_1 @ esk4_0 ) )
| ~ ( irel @ X1 @ esk4_0 ) ),
inference(spm,[status(thm)],[c_0_38,c_0_169]) ).
thf(c_0_173,negated_conjecture,
! [X1: $i] :
( ( b1 @ ( esk2_1 @ esk4_0 ) )
| ( irel @ X1 @ ( esk3_1 @ X1 ) )
| ~ ( irel @ X1 @ esk4_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_172]),c_0_48])]) ).
thf(c_0_174,negated_conjecture,
( ( irel @ esk4_0 @ ( esk3_1 @ esk4_0 ) )
| ( b1 @ ( esk2_1 @ esk4_0 ) ) ),
inference(spm,[status(thm)],[c_0_173,c_0_48]) ).
thf(c_0_175,negated_conjecture,
( ( irel @ esk8_0 @ ( esk1_1 @ esk10_0 ) )
| ( a3 @ esk11_0 ) ),
inference(spm,[status(thm)],[c_0_141,c_0_81]) ).
thf(c_0_176,negated_conjecture,
! [X1: $i,X3: $i,X2: $i,X5: $i,X13: $i] :
( ( irel @ esk4_0 @ ( esk3_1 @ esk4_0 ) )
| ( b2 @ X1 )
| ( b2 @ X2 )
| ( a2 @ X3 )
| ~ ( irel @ esk4_0 @ X5 )
| ~ ( irel @ X13 @ X3 )
| ~ ( irel @ X13 @ X1 )
| ~ ( irel @ X5 @ X2 )
| ~ ( irel @ X5 @ X13 ) ),
inference(spm,[status(thm)],[c_0_98,c_0_174]) ).
thf(c_0_177,negated_conjecture,
irel @ esk8_0 @ ( esk1_1 @ esk10_0 ),
inference(sr,[status(thm)],[c_0_175,c_0_161]) ).
thf(c_0_178,negated_conjecture,
! [X2: $i,X1: $i,X5: $i,X3: $i] :
( ( irel @ esk4_0 @ ( esk3_1 @ esk4_0 ) )
| ( a2 @ X1 )
| ( b2 @ X2 )
| ( b2 @ X3 )
| ~ ( irel @ esk8_0 @ X2 )
| ~ ( irel @ esk8_0 @ X5 )
| ~ ( irel @ X5 @ X1 )
| ~ ( irel @ X5 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_101]),c_0_44])]) ).
thf(c_0_179,negated_conjecture,
! [X1: $i] :
( ( irel @ X1 @ ( esk1_1 @ esk10_0 ) )
| ~ ( irel @ X1 @ esk8_0 ) ),
inference(spm,[status(thm)],[c_0_38,c_0_177]) ).
thf(c_0_180,negated_conjecture,
! [X3: $i,X2: $i,X1: $i] :
( ( irel @ esk4_0 @ ( esk3_1 @ esk4_0 ) )
| ( b2 @ ( esk1_1 @ esk10_0 ) )
| ( b2 @ X1 )
| ( a2 @ X2 )
| ~ ( irel @ esk8_0 @ X3 )
| ~ ( irel @ X3 @ X2 )
| ~ ( irel @ X3 @ X1 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_179]),c_0_48])]) ).
thf(c_0_181,negated_conjecture,
! [X1: $i,X2: $i] :
( ( irel @ esk4_0 @ ( esk3_1 @ esk4_0 ) )
| ( b2 @ ( esk1_1 @ esk10_0 ) )
| ( a2 @ X1 )
| ( b2 @ X2 )
| ~ ( irel @ esk8_0 @ X1 )
| ~ ( irel @ esk8_0 @ X2 ) ),
inference(spm,[status(thm)],[c_0_180,c_0_48]) ).
thf(c_0_182,negated_conjecture,
! [X1: $i] :
( ( irel @ esk4_0 @ ( esk3_1 @ esk4_0 ) )
| ( b2 @ ( esk1_1 @ esk10_0 ) )
| ( b2 @ X1 )
| ~ ( irel @ esk8_0 @ X1 ) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_58]),c_0_48])]),c_0_86]) ).
thf(c_0_183,negated_conjecture,
! [X1: $i,X3: $i,X2: $i,X5: $i] :
( ( irel @ X1 @ ( esk2_1 @ X1 ) )
| ( b2 @ X2 )
| ( b2 @ X3 )
| ~ ( irel @ esk8_0 @ X3 )
| ~ ( irel @ X5 @ esk8_0 )
| ~ ( irel @ X5 @ X2 )
| ~ ( irel @ X1 @ X5 ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_48]),c_0_86]) ).
thf(c_0_184,negated_conjecture,
( ( irel @ esk4_0 @ ( esk3_1 @ esk4_0 ) )
| ( b2 @ ( esk1_1 @ esk10_0 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_179]),c_0_48])]) ).
thf(c_0_185,negated_conjecture,
! [X1: $i,X2: $i,X3: $i] :
( ( b2 @ ( esk1_1 @ esk10_0 ) )
| ( irel @ X1 @ ( esk2_1 @ X1 ) )
| ( a3 @ esk11_0 )
| ( b2 @ X2 )
| ~ ( irel @ X3 @ esk8_0 )
| ~ ( irel @ X3 @ X2 )
| ~ ( irel @ X1 @ X3 ) ),
inference(spm,[status(thm)],[c_0_183,c_0_175]) ).
thf(c_0_186,negated_conjecture,
! [X1: $i,X3: $i,X2: $i,X5: $i,X13: $i] :
( ( irel @ esk4_0 @ ( esk3_1 @ esk4_0 ) )
| ( b3 @ X1 )
| ( b3 @ X2 )
| ( a3 @ X3 )
| ~ ( irel @ esk10_0 @ X5 )
| ~ ( irel @ X13 @ X3 )
| ~ ( irel @ X13 @ X1 )
| ~ ( irel @ X5 @ X2 )
| ~ ( irel @ X5 @ X13 ) ),
inference(spm,[status(thm)],[c_0_162,c_0_184]) ).
thf(c_0_187,negated_conjecture,
! [X2: $i,X1: $i] :
( ( irel @ X1 @ ( esk2_1 @ X1 ) )
| ( b2 @ ( esk1_1 @ esk10_0 ) )
| ( a3 @ esk11_0 )
| ( b2 @ X2 )
| ~ ( irel @ esk8_0 @ X2 )
| ~ ( irel @ X1 @ esk8_0 ) ),
inference(spm,[status(thm)],[c_0_185,c_0_48]) ).
thf(c_0_188,negated_conjecture,
! [X2: $i,X1: $i,X5: $i,X3: $i] :
( ( irel @ esk4_0 @ ( esk3_1 @ esk4_0 ) )
| ( a3 @ X1 )
| ( b3 @ X2 )
| ( b3 @ X3 )
| ~ ( irel @ esk10_0 @ X2 )
| ~ ( irel @ esk10_0 @ X5 )
| ~ ( irel @ X5 @ X1 )
| ~ ( irel @ X5 @ X3 ) ),
inference(spm,[status(thm)],[c_0_186,c_0_48]) ).
thf(c_0_189,negated_conjecture,
! [X1: $i] :
( ( b2 @ ( esk1_1 @ esk10_0 ) )
| ( irel @ X1 @ ( esk2_1 @ X1 ) )
| ( a3 @ esk11_0 )
| ~ ( irel @ X1 @ esk8_0 ) ),
inference(spm,[status(thm)],[c_0_187,c_0_175]) ).
thf(c_0_190,negated_conjecture,
! [X3: $i,X2: $i,X1: $i] :
( ( irel @ esk4_0 @ ( esk3_1 @ esk4_0 ) )
| ( b3 @ X1 )
| ( a3 @ X2 )
| ~ ( irel @ esk10_0 @ X3 )
| ~ ( irel @ X3 @ X2 )
| ~ ( irel @ X3 @ X1 ) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_127]),c_0_48])]),c_0_128]) ).
thf(c_0_191,negated_conjecture,
( ( irel @ esk8_0 @ ( esk2_1 @ esk8_0 ) )
| ( b2 @ ( esk1_1 @ esk10_0 ) )
| ( a3 @ esk11_0 ) ),
inference(spm,[status(thm)],[c_0_189,c_0_48]) ).
thf(c_0_192,negated_conjecture,
! [X1: $i,X2: $i] :
( ( irel @ esk4_0 @ ( esk3_1 @ esk4_0 ) )
| ( a3 @ X1 )
| ( b3 @ X2 )
| ~ ( irel @ esk10_0 @ X1 )
| ~ ( irel @ esk10_0 @ X2 ) ),
inference(spm,[status(thm)],[c_0_190,c_0_48]) ).
thf(c_0_193,negated_conjecture,
( ( irel @ esk8_0 @ ( esk2_1 @ esk8_0 ) )
| ( b2 @ ( esk1_1 @ esk10_0 ) ) ),
inference(sr,[status(thm)],[c_0_191,c_0_161]) ).
thf(c_0_194,negated_conjecture,
! [X1: $i] :
( ( irel @ esk4_0 @ ( esk3_1 @ esk4_0 ) )
| ( b3 @ X1 )
| ~ ( irel @ esk10_0 @ X1 ) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_77]),c_0_48])]),c_0_161]) ).
thf(c_0_195,negated_conjecture,
! [X1: $i,X3: $i,X2: $i,X5: $i,X13: $i] :
( ( irel @ esk8_0 @ ( esk2_1 @ esk8_0 ) )
| ( b3 @ X1 )
| ( b3 @ X2 )
| ( a3 @ X3 )
| ~ ( irel @ esk10_0 @ X5 )
| ~ ( irel @ X13 @ X3 )
| ~ ( irel @ X13 @ X1 )
| ~ ( irel @ X5 @ X2 )
| ~ ( irel @ X5 @ X13 ) ),
inference(spm,[status(thm)],[c_0_162,c_0_193]) ).
thf(c_0_196,negated_conjecture,
irel @ esk4_0 @ ( esk3_1 @ esk4_0 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_127]),c_0_48])]),c_0_128]) ).
thf(c_0_197,negated_conjecture,
! [X2: $i,X1: $i,X5: $i,X3: $i] :
( ( irel @ esk8_0 @ ( esk2_1 @ esk8_0 ) )
| ( a3 @ X1 )
| ( b3 @ X2 )
| ( b3 @ X3 )
| ~ ( irel @ esk10_0 @ X2 )
| ~ ( irel @ esk10_0 @ X5 )
| ~ ( irel @ X5 @ X1 )
| ~ ( irel @ X5 @ X3 ) ),
inference(spm,[status(thm)],[c_0_195,c_0_48]) ).
thf(c_0_198,negated_conjecture,
! [X2: $i,X1: $i] :
( ( b @ ( esk3_1 @ esk4_0 ) )
| ( b @ X1 )
| ~ ( irel @ X2 @ esk4_0 )
| ~ ( irel @ X2 @ X1 ) ),
inference(spm,[status(thm)],[c_0_42,c_0_196]) ).
thf(c_0_199,negated_conjecture,
! [X3: $i,X2: $i,X1: $i] :
( ( irel @ esk8_0 @ ( esk2_1 @ esk8_0 ) )
| ( b3 @ X1 )
| ( a3 @ X2 )
| ~ ( irel @ esk10_0 @ X3 )
| ~ ( irel @ X3 @ X2 )
| ~ ( irel @ X3 @ X1 ) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_127]),c_0_48])]),c_0_128]) ).
thf(c_0_200,negated_conjecture,
! [X1: $i] :
( ( b @ ( esk3_1 @ esk4_0 ) )
| ( b @ X1 )
| ~ ( irel @ esk4_0 @ X1 ) ),
inference(spm,[status(thm)],[c_0_198,c_0_48]) ).
thf(c_0_201,negated_conjecture,
! [X1: $i] :
( ( irel @ X1 @ ( esk3_1 @ esk4_0 ) )
| ~ ( irel @ X1 @ esk4_0 ) ),
inference(spm,[status(thm)],[c_0_38,c_0_196]) ).
thf(c_0_202,negated_conjecture,
! [X1: $i,X2: $i] :
( ( irel @ esk8_0 @ ( esk2_1 @ esk8_0 ) )
| ( a3 @ X1 )
| ( b3 @ X2 )
| ~ ( irel @ esk10_0 @ X1 )
| ~ ( irel @ esk10_0 @ X2 ) ),
inference(spm,[status(thm)],[c_0_199,c_0_48]) ).
thf(c_0_203,negated_conjecture,
b @ ( esk3_1 @ esk4_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_201]),c_0_48])]) ).
thf(c_0_204,negated_conjecture,
! [X1: $i] :
( ( irel @ esk8_0 @ ( esk2_1 @ esk8_0 ) )
| ( b3 @ X1 )
| ~ ( irel @ esk10_0 @ X1 ) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_77]),c_0_48])]),c_0_161]) ).
thf(c_0_205,negated_conjecture,
! [X1: $i,X3: $i,X2: $i,X5: $i,X13: $i] :
( ( b1 @ X1 )
| ( b1 @ X2 )
| ( a1 @ X3 )
| ~ ( irel @ esk4_0 @ X5 )
| ~ ( irel @ X13 @ X3 )
| ~ ( irel @ X13 @ X1 )
| ~ ( irel @ X5 @ X2 )
| ~ ( irel @ X5 @ X13 ) ),
inference(spm,[status(thm)],[c_0_68,c_0_203]) ).
thf(c_0_206,negated_conjecture,
irel @ esk8_0 @ ( esk2_1 @ esk8_0 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_127]),c_0_48])]),c_0_128]) ).
thf(c_0_207,negated_conjecture,
! [X2: $i,X1: $i,X5: $i,X3: $i] :
( ( a1 @ X1 )
| ( b1 @ X2 )
| ( b1 @ X3 )
| ~ ( irel @ esk4_0 @ X2 )
| ~ ( irel @ esk4_0 @ X5 )
| ~ ( irel @ X5 @ X1 )
| ~ ( irel @ X5 @ X3 ) ),
inference(spm,[status(thm)],[c_0_205,c_0_48]) ).
thf(c_0_208,negated_conjecture,
! [X1: $i] :
( ( irel @ X1 @ ( esk2_1 @ esk8_0 ) )
| ~ ( irel @ X1 @ esk8_0 ) ),
inference(spm,[status(thm)],[c_0_38,c_0_206]) ).
thf(c_0_209,negated_conjecture,
! [X3: $i,X2: $i,X1: $i] :
( ( b1 @ ( esk2_1 @ esk8_0 ) )
| ( b1 @ X1 )
| ( a1 @ X2 )
| ~ ( irel @ esk4_0 @ X3 )
| ~ ( irel @ X3 @ X2 )
| ~ ( irel @ X3 @ X1 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_207,c_0_208]),c_0_125])]) ).
thf(c_0_210,negated_conjecture,
! [X1: $i,X2: $i] :
( ( b1 @ ( esk2_1 @ esk8_0 ) )
| ( a1 @ X1 )
| ( b1 @ X2 )
| ~ ( irel @ esk4_0 @ X1 )
| ~ ( irel @ esk4_0 @ X2 ) ),
inference(spm,[status(thm)],[c_0_209,c_0_48]) ).
thf(c_0_211,negated_conjecture,
! [X1: $i] :
( ( b1 @ ( esk2_1 @ esk8_0 ) )
| ( b1 @ X1 )
| ~ ( irel @ esk4_0 @ X1 ) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_210,c_0_43]),c_0_44])]),c_0_55]) ).
thf(c_0_212,negated_conjecture,
b1 @ ( esk2_1 @ esk8_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_208]),c_0_125])]) ).
thf(c_0_213,negated_conjecture,
! [X1: $i,X3: $i,X2: $i,X5: $i,X13: $i] :
( ( b2 @ X1 )
| ( b2 @ X2 )
| ( a2 @ X3 )
| ~ ( irel @ esk8_0 @ X5 )
| ~ ( irel @ X13 @ X3 )
| ~ ( irel @ X13 @ X1 )
| ~ ( irel @ X5 @ X2 )
| ~ ( irel @ X5 @ X13 ) ),
inference(spm,[status(thm)],[c_0_98,c_0_212]) ).
thf(c_0_214,negated_conjecture,
! [X2: $i,X1: $i,X5: $i,X3: $i] :
( ( a2 @ X1 )
| ( b2 @ X2 )
| ( b2 @ X3 )
| ~ ( irel @ esk8_0 @ X2 )
| ~ ( irel @ esk8_0 @ X5 )
| ~ ( irel @ X5 @ X1 )
| ~ ( irel @ X5 @ X3 ) ),
inference(spm,[status(thm)],[c_0_213,c_0_48]) ).
thf(c_0_215,negated_conjecture,
! [X3: $i,X2: $i,X1: $i] :
( ( b2 @ ( esk1_1 @ esk10_0 ) )
| ( b2 @ X1 )
| ( a2 @ X2 )
| ~ ( irel @ esk8_0 @ X3 )
| ~ ( irel @ X3 @ X2 )
| ~ ( irel @ X3 @ X1 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_214,c_0_179]),c_0_48])]) ).
thf(c_0_216,negated_conjecture,
! [X1: $i,X2: $i] :
( ( b2 @ ( esk1_1 @ esk10_0 ) )
| ( a2 @ X1 )
| ( b2 @ X2 )
| ~ ( irel @ esk8_0 @ X1 )
| ~ ( irel @ esk8_0 @ X2 ) ),
inference(spm,[status(thm)],[c_0_215,c_0_48]) ).
thf(c_0_217,negated_conjecture,
! [X1: $i] :
( ( b2 @ ( esk1_1 @ esk10_0 ) )
| ( b2 @ X1 )
| ~ ( irel @ esk8_0 @ X1 ) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_58]),c_0_48])]),c_0_86]) ).
thf(c_0_218,negated_conjecture,
b2 @ ( esk1_1 @ esk10_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_179]),c_0_48])]) ).
thf(c_0_219,negated_conjecture,
! [X1: $i,X3: $i,X2: $i,X5: $i,X13: $i] :
( ( b3 @ X1 )
| ( b3 @ X2 )
| ( a3 @ X3 )
| ~ ( irel @ esk10_0 @ X5 )
| ~ ( irel @ X13 @ X3 )
| ~ ( irel @ X13 @ X1 )
| ~ ( irel @ X5 @ X2 )
| ~ ( irel @ X5 @ X13 ) ),
inference(spm,[status(thm)],[c_0_162,c_0_218]) ).
thf(c_0_220,negated_conjecture,
! [X2: $i,X1: $i,X5: $i,X3: $i] :
( ( a3 @ X1 )
| ( b3 @ X2 )
| ( b3 @ X3 )
| ~ ( irel @ esk10_0 @ X2 )
| ~ ( irel @ esk10_0 @ X5 )
| ~ ( irel @ X5 @ X1 )
| ~ ( irel @ X5 @ X3 ) ),
inference(spm,[status(thm)],[c_0_219,c_0_48]) ).
thf(c_0_221,negated_conjecture,
! [X3: $i,X2: $i,X1: $i] :
( ( b3 @ X1 )
| ( a3 @ X2 )
| ~ ( irel @ esk10_0 @ X3 )
| ~ ( irel @ X3 @ X2 )
| ~ ( irel @ X3 @ X1 ) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_127]),c_0_48])]),c_0_128]) ).
thf(c_0_222,negated_conjecture,
! [X1: $i,X2: $i] :
( ( a3 @ X1 )
| ( b3 @ X2 )
| ~ ( irel @ esk10_0 @ X1 )
| ~ ( irel @ esk10_0 @ X2 ) ),
inference(spm,[status(thm)],[c_0_221,c_0_48]) ).
thf(c_0_223,negated_conjecture,
! [X1: $i] :
( ( b3 @ X1 )
| ~ ( irel @ esk10_0 @ X1 ) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_77]),c_0_48])]),c_0_161]) ).
thf(c_0_224,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_223]),c_0_120])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYO064^4.004 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.17 % Computer : n007.cluster.edu
% 0.09/0.17 % Model : x86_64 x86_64
% 0.09/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.17 % Memory : 8046.5625MB
% 0.09/0.17 % OS : Linux 6.8.0-71-generic
% 0.09/0.17 % CPULimit : 300
% 0.09/0.17 % WCLimit : 300
% 0.09/0.17 % DateTime : Tue Sep 29 16:24:25 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.21 Running higher-order theorem proving
% 0.09/0.23 Running: /export/starexec/sandbox2/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.tmrSCg4Ts8/E---3.1_3586269.p
% 0.20/34.90 % Version: 3.5.1-ho
% 0.20/34.90 % Preprocessing class: HSMSSMSSMLSNHSN.
% 0.20/34.90 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/34.90 % Starting new_ho_10_cnf2 with 1500s (5) cores
% 0.20/34.90 % Starting post_as_ho3 with 300s (1) cores
% 0.20/34.90 % Starting post_as_ho11 with 300s (1) cores
% 0.20/34.90 % Starting full_lambda_8 with 300s (1) cores
% 0.20/34.90 % new_ho_10_cnf2 with pid 3586282 completed with status 0
% 0.20/34.90 % Result found by new_ho_10_cnf2
% 0.20/34.90 % Preprocessing class: HSMSSMSSMLSNHSN.
% 0.20/34.90 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/34.90 % Starting new_ho_10_cnf2 with 1500s (5) cores
% 0.20/34.90 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.20/34.90 % No SInE strategy applied
% 0.20/34.90 % Search class: HGHNS-FFMM11-SHSSMFNN
% 0.20/34.90 % partial match(1): HGHNS-FFMF11-SHSSMFNN
% 0.20/34.90 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.20/34.90 % Starting SubtermCWHack with 136s (1) cores
% 0.20/34.90 % Starting new_ho_10_cnf2 with 151s (1) cores
% 0.20/34.90 % Starting ehoh_best_nonlift_rwall with 136s (1) cores
% 0.20/34.90 % Starting ehoh_best_nonlift_nonlambdatoforall with 136s (1) cores
% 0.20/34.90 % Starting lpo1_lambda_fix with 136s (1) cores
% 0.20/34.90 % ehoh_best_nonlift_rwall with pid 3586290 completed with status 0
% 0.20/34.90 % Result found by ehoh_best_nonlift_rwall
% 0.20/34.90 % Preprocessing class: HSMSSMSSMLSNHSN.
% 0.20/34.90 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/34.90 % Starting new_ho_10_cnf2 with 1500s (5) cores
% 0.20/34.90 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.20/34.90 % No SInE strategy applied
% 0.20/34.90 % Search class: HGHNS-FFMM11-SHSSMFNN
% 0.20/34.90 % partial match(1): HGHNS-FFMF11-SHSSMFNN
% 0.20/34.90 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.20/34.90 % Starting SubtermCWHack with 136s (1) cores
% 0.20/34.90 % Starting new_ho_10_cnf2 with 151s (1) cores
% 0.20/34.90 % Starting ehoh_best_nonlift_rwall with 136s (1) cores
% 0.20/34.90 % Preprocessing time : 0.002 s
% 0.20/34.90 % Presaturation interreduction done
% 0.20/34.90
% 0.20/34.90 % Proof found!
% 0.20/34.90 % SZS status Theorem
% 0.20/34.90 % SZS output start CNFRefutation
% See solution above
% 0.20/34.91 % Parsed axioms : 56
% 0.20/34.91 % Removed by relevancy pruning/SinE : 0
% 0.20/34.91 % Initial clauses : 52
% 0.20/34.91 % Removed in clause preprocessing : 29
% 0.20/34.91 % Initial clauses in saturation : 23
% 0.20/34.91 % Processed clauses : 67683
% 0.20/34.91 % ...of these trivial : 932
% 0.20/34.91 % ...subsumed : 42286
% 0.20/34.91 % ...remaining for further processing : 24465
% 0.20/34.91 % Other redundant clauses eliminated : 0
% 0.20/34.91 % Clauses deleted for lack of memory : 0
% 0.20/34.91 % Backward-subsumed : 19483
% 0.20/34.91 % Backward-rewritten : 3718
% 0.20/34.91 % Generated clauses : 675583
% 0.20/34.91 % ...of the previous two non-redundant : 536302
% 0.20/34.91 % ...aggressively subsumed : 0
% 0.20/34.91 % Contextual simplify-reflections : 0
% 0.20/34.91 % Paramodulations : 675465
% 0.20/34.91 % Factorizations : 0
% 0.20/34.91 % NegExts : 0
% 0.20/34.91 % Equation resolutions : 0
% 0.20/34.91 % Disequality decompositions : 0
% 0.20/34.91 % Total rewrite steps : 195413
% 0.20/34.91 % ...of those cached : 195334
% 0.20/34.91 % Propositional unsat checks : 4
% 0.20/34.91 % Propositional check models : 4
% 0.20/34.91 % Propositional check unsatisfiable : 0
% 0.20/34.91 % Propositional clauses : 0
% 0.20/34.91 % Propositional clauses after purity: 0
% 0.20/34.91 % Propositional unsat core size : 0
% 0.20/34.91 % Propositional preprocessing time : 0.000
% 0.20/34.91 % Propositional encoding time : 0.534
% 0.20/34.91 % Propositional solver time : 0.034
% 0.20/34.91 % Success case prop preproc time : 0.000
% 0.20/34.91 % Success case prop encoding time : 0.000
% 0.20/34.91 % Success case prop solver time : 0.000
% 0.20/34.91 % Current number of processed clauses : 1123
% 0.20/34.91 % Positive orientable unit clauses : 83
% 0.20/34.91 % Positive unorientable unit clauses: 0
% 0.20/34.91 % Negative unit clauses : 12
% 0.20/34.91 % Non-unit-clauses : 1028
% 0.20/34.91 % Current number of unprocessed clauses: 146781
% 0.20/34.91 % ...number of literals in the above : 1471978
% 0.20/34.91 % Current number of archived formulas : 0
% 0.20/34.91 % Current number of archived clauses : 23342
% 0.20/34.91 % Clause-clause subsumption calls (NU) : 13000764
% 0.20/34.91 % Rec. Clause-clause subsumption calls : 421040
% 0.20/34.91 % Non-unit clause-clause subsumptions : 61446
% 0.20/34.91 % Unit Clause-clause subsumption calls : 24602
% 0.20/34.91 % Rewrite failures with RHS unbound : 0
% 0.20/34.91 % BW rewrite match attempts : 71
% 0.20/34.91 % BW rewrite match successes : 69
% 0.20/34.91 % Condensation attempts : 0
% 0.20/34.91 % Condensation successes : 0
% 0.20/34.91 % Termbank termtop insertions : 25169605
% 0.20/34.91 % Search garbage collected termcells : 1617
% 0.20/34.91
% 0.20/34.91 % -------------------------------------------------
% 0.20/34.91 % User time : 34.004 s
% 0.20/34.91 % System time : 0.235 s
% 0.20/34.91 % Total time : 34.239 s
% 0.20/34.91 % Maximum resident set size: 3928 pages
% 0.20/34.91
% 0.20/34.91 % -------------------------------------------------
% 0.20/34.91 % User time : 167.749 s
% 0.20/34.91 % System time : 3.218 s
% 0.20/34.91 % Total time : 170.967 s
% 0.20/34.91 % Maximum resident set size: 4864 pages
% 0.20/34.91 % E exiting
%------------------------------------------------------------------------------