%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYN045^4 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n002.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 08:40:49 AM UTC 2026
% Result : Theorem 1.98s 0.62s
% Output : CNFRefutation 1.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 43
% Number of leaves : 14
% Syntax : Number of formulae : 278 ( 40 unt; 0 typ; 0 def)
% Number of atoms : 1591 ( 27 equ; 0 cnn)
% Maximal formula atoms : 605 ( 5 avg)
% Number of connectives : 4398 ( 651 ~;1073 |; 144 &;2495 @)
% ( 0 <=>; 35 =>; 0 <=; 0 <~>)
% Maximal formula depth : 153 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 46 ( 46 >; 0 *; 0 +; 0 <<)
% Number of symbols : 26 ( 24 usr; 10 con; 0-3 aty)
% Number of variables : 282 ( 64 ^; 218 !; 0 ?; 282 :)
% 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_37,type,
iequiv: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(decl_39,type,
ivalid: ( $i > $o ) > $o ).
thf(decl_43,type,
p: $i > $o ).
thf(decl_44,type,
q: $i > $o ).
thf(decl_45,type,
r: $i > $o ).
thf(decl_46,type,
esk1_0: $i ).
thf(decl_47,type,
esk2_0: $i ).
thf(decl_48,type,
esk3_0: $i ).
thf(decl_49,type,
esk4_0: $i ).
thf(decl_50,type,
esk5_0: $i ).
thf(decl_51,type,
esk6_0: $i ).
thf(decl_52,type,
esk7_0: $i ).
thf(decl_53,type,
esk8_0: $i ).
thf(decl_54,type,
esk9_0: $i ).
thf(mimplies,axiom,
( mimplies
= ( ^ [X10: $i > $o,X11: $i > $o] : ( mor @ ( mnot @ X10 ) @ X11 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.TBmlcmg1qT/E---3.1_1483774.p',mimplies) ).
thf(mnot,axiom,
( mnot
= ( ^ [X4: $i > $o,X5: $i] :
~ ( X4 @ X5 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.TBmlcmg1qT/E---3.1_1483774.p',mnot) ).
thf(mor,axiom,
( mor
= ( ^ [X6: $i > $o,X7: $i > $o,X5: $i] :
( ( X6 @ X5 )
| ( X7 @ X5 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.TBmlcmg1qT/E---3.1_1483774.p',mor) ).
thf(iand,axiom,
( iand
= ( ^ [X12: $i > $o,X14: $i > $o] : ( mand @ X12 @ X14 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.TBmlcmg1qT/E---3.1_1483774.p',iand) ).
thf(mand,axiom,
( mand
= ( ^ [X8: $i > $o,X9: $i > $o,X5: $i] :
( ( X8 @ X5 )
& ( X9 @ X5 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.TBmlcmg1qT/E---3.1_1483774.p',mand) ).
thf(iimplies,axiom,
( iimplies
= ( ^ [X12: $i > $o,X14: $i > $o] : ( mimplies @ ( mbox_s4 @ X12 ) @ ( mbox_s4 @ X14 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.TBmlcmg1qT/E---3.1_1483774.p',iimplies) ).
thf(mbox_s4,axiom,
( mbox_s4
= ( ^ [X12: $i > $o,X1: $i] :
! [X2: $i] :
( ( irel @ X1 @ X2 )
=> ( X12 @ X2 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.TBmlcmg1qT/E---3.1_1483774.p',mbox_s4) ).
thf(ior,axiom,
( ior
= ( ^ [X12: $i > $o,X14: $i > $o] : ( mor @ ( mbox_s4 @ X12 ) @ ( mbox_s4 @ X14 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.TBmlcmg1qT/E---3.1_1483774.p',ior) ).
thf(iequiv,axiom,
( iequiv
= ( ^ [X12: $i > $o,X14: $i > $o] : ( iand @ ( iimplies @ X12 @ X14 ) @ ( iimplies @ X14 @ X12 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.TBmlcmg1qT/E---3.1_1483774.p',iequiv) ).
thf(pel13,conjecture,
ivalid @ ( iequiv @ ( ior @ ( iatom @ p ) @ ( iand @ ( iatom @ q ) @ ( iatom @ r ) ) ) @ ( iand @ ( ior @ ( iatom @ p ) @ ( iatom @ q ) ) @ ( ior @ ( iatom @ p ) @ ( iatom @ r ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.TBmlcmg1qT/E---3.1_1483774.p',pel13) ).
thf(iatom,axiom,
( iatom
= ( ^ [X12: $i > $o] : X12 ) ),
file('/export/starexec/sandbox/tmp/tmp.TBmlcmg1qT/E---3.1_1483774.p',iatom) ).
thf(ivalid,axiom,
( ivalid
= ( ^ [X15: $i > $o] :
! [X13: $i] : ( X15 @ X13 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.TBmlcmg1qT/E---3.1_1483774.p',ivalid) ).
thf(trans_axiom,axiom,
! [X1: $i,X2: $i,X3: $i] :
( ( ( irel @ X1 @ X2 )
& ( irel @ X2 @ X3 ) )
=> ( irel @ X1 @ X3 ) ),
file('/export/starexec/sandbox/tmp/tmp.TBmlcmg1qT/E---3.1_1483774.p',trans_axiom) ).
thf(refl_axiom,axiom,
! [X1: $i] : ( irel @ X1 @ X1 ),
file('/export/starexec/sandbox/tmp/tmp.TBmlcmg1qT/E---3.1_1483774.p',refl_axiom) ).
thf(c_0_14,plain,
( mimplies
= ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
( ~ ( Z0 @ Z2 )
| ( Z1 @ Z2 ) ) ) ),
inference(fof_simplification,[status(thm)],[mimplies]) ).
thf(c_0_15,plain,
( mnot
= ( ^ [Z0: $i > $o,Z1: $i] :
~ ( Z0 @ Z1 ) ) ),
inference(fof_simplification,[status(thm)],[mnot]) ).
thf(c_0_16,plain,
( mor
= ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
( ( Z0 @ Z2 )
| ( Z1 @ Z2 ) ) ) ),
inference(fof_simplification,[status(thm)],[mor]) ).
thf(c_0_17,plain,
( iand
= ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
( ( Z0 @ Z2 )
& ( Z1 @ Z2 ) ) ) ),
inference(fof_simplification,[status(thm)],[iand]) ).
thf(c_0_18,plain,
( mand
= ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
( ( Z0 @ Z2 )
& ( Z1 @ Z2 ) ) ) ),
inference(fof_simplification,[status(thm)],[mand]) ).
thf(c_0_19,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_20,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_14,c_0_15]),c_0_16]) ).
thf(c_0_21,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_22,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_23,plain,
( iequiv
= ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
( ( ~ ! [X28: $i] :
( ( irel @ Z2 @ X28 )
=> ( Z0 @ X28 ) )
| ! [X29: $i] :
( ( irel @ Z2 @ X29 )
=> ( Z1 @ X29 ) ) )
& ( ~ ! [X30: $i] :
( ( irel @ Z2 @ X30 )
=> ( Z1 @ X30 ) )
| ! [X31: $i] :
( ( irel @ Z2 @ X31 )
=> ( Z0 @ X31 ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[iequiv]) ).
thf(c_0_24,plain,
( iand
= ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
( ( Z0 @ Z2 )
& ( Z1 @ Z2 ) ) ) ),
inference(apply_def,[status(thm)],[c_0_17,c_0_18]) ).
thf(c_0_25,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_19,c_0_20]),c_0_21]) ).
thf(c_0_26,negated_conjecture,
~ ( ivalid @ ( iequiv @ ( ior @ ( iatom @ p ) @ ( iand @ ( iatom @ q ) @ ( iatom @ r ) ) ) @ ( iand @ ( ior @ ( iatom @ p ) @ ( iatom @ q ) ) @ ( ior @ ( iatom @ p ) @ ( iatom @ r ) ) ) ) ),
inference(assume_negation,[status(cth)],[pel13]) ).
thf(c_0_27,plain,
( iatom
= ( ^ [Z0: $i > $o] : Z0 ) ),
inference(fof_simplification,[status(thm)],[iatom]) ).
thf(c_0_28,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_22,c_0_16]),c_0_21]) ).
thf(c_0_29,plain,
( iequiv
= ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
( ( ~ ! [X28: $i] :
( ( irel @ Z2 @ X28 )
=> ( Z0 @ X28 ) )
| ! [X29: $i] :
( ( irel @ Z2 @ X29 )
=> ( Z1 @ X29 ) ) )
& ( ~ ! [X30: $i] :
( ( irel @ Z2 @ X30 )
=> ( Z1 @ X30 ) )
| ! [X31: $i] :
( ( irel @ Z2 @ X31 )
=> ( Z0 @ X31 ) ) ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_23,c_0_24]),c_0_25]) ).
thf(c_0_30,plain,
( ivalid
= ( ^ [Z0: $i > $o] :
! [X13: $i] : ( Z0 @ X13 ) ) ),
inference(fof_simplification,[status(thm)],[ivalid]) ).
thf(c_0_31,negated_conjecture,
~ ! [X47: $i] :
( ( ~ ! [X43: $i] :
( ( irel @ X47 @ X43 )
=> ( ! [X37: $i] :
( ( irel @ X43 @ X37 )
=> ( p @ X37 ) )
| ! [X38: $i] :
( ( irel @ X43 @ X38 )
=> ( ( q @ X38 )
& ( r @ X38 ) ) ) ) )
| ! [X44: $i] :
( ( irel @ X47 @ X44 )
=> ( ( ! [X39: $i] :
( ( irel @ X44 @ X39 )
=> ( p @ X39 ) )
| ! [X40: $i] :
( ( irel @ X44 @ X40 )
=> ( q @ X40 ) ) )
& ( ! [X41: $i] :
( ( irel @ X44 @ X41 )
=> ( p @ X41 ) )
| ! [X42: $i] :
( ( irel @ X44 @ X42 )
=> ( r @ X42 ) ) ) ) ) )
& ( ~ ! [X45: $i] :
( ( irel @ X47 @ X45 )
=> ( ( ! [X39: $i] :
( ( irel @ X45 @ X39 )
=> ( p @ X39 ) )
| ! [X40: $i] :
( ( irel @ X45 @ X40 )
=> ( q @ X40 ) ) )
& ( ! [X41: $i] :
( ( irel @ X45 @ X41 )
=> ( p @ X41 ) )
| ! [X42: $i] :
( ( irel @ X45 @ X42 )
=> ( r @ X42 ) ) ) ) )
| ! [X46: $i] :
( ( irel @ X47 @ X46 )
=> ( ! [X37: $i] :
( ( irel @ X46 @ X37 )
=> ( p @ X37 ) )
| ! [X38: $i] :
( ( irel @ X46 @ X38 )
=> ( ( q @ X38 )
& ( r @ X38 ) ) ) ) ) ) ),
inference(apply_def,[status(thm)],[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_27]),c_0_24]),c_0_28]),c_0_29]),c_0_30]) ).
thf(c_0_32,plain,
! [X49: $i,X50: $i,X51: $i] :
( ~ ( irel @ X49 @ X50 )
| ~ ( irel @ X50 @ X51 )
| ( irel @ X49 @ X51 ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[trans_axiom])])]) ).
thf(c_0_33,negated_conjecture,
! [X53: $i,X54: $i,X55: $i,X61: $i,X62: $i,X63: $i,X64: $i,X65: $i] :
( ( ~ ( irel @ X61 @ X62 )
| ( p @ X62 )
| ~ ( irel @ X61 @ X63 )
| ( q @ X63 )
| ~ ( irel @ esk1_0 @ X61 )
| ( q @ X55 )
| ~ ( irel @ X53 @ X55 )
| ~ ( irel @ X53 @ X54 )
| ( p @ X54 )
| ~ ( irel @ esk1_0 @ X53 ) )
& ( ~ ( irel @ X61 @ X64 )
| ( p @ X64 )
| ~ ( irel @ X61 @ X65 )
| ( r @ X65 )
| ~ ( irel @ esk1_0 @ X61 )
| ( q @ X55 )
| ~ ( irel @ X53 @ X55 )
| ~ ( irel @ X53 @ X54 )
| ( p @ X54 )
| ~ ( irel @ esk1_0 @ X53 ) )
& ( ( irel @ esk1_0 @ esk7_0 )
| ( q @ X55 )
| ~ ( irel @ X53 @ X55 )
| ~ ( irel @ X53 @ X54 )
| ( p @ X54 )
| ~ ( irel @ esk1_0 @ X53 ) )
& ( ( irel @ esk7_0 @ esk8_0 )
| ( q @ X55 )
| ~ ( irel @ X53 @ X55 )
| ~ ( irel @ X53 @ X54 )
| ( p @ X54 )
| ~ ( irel @ esk1_0 @ X53 ) )
& ( ~ ( p @ esk8_0 )
| ( q @ X55 )
| ~ ( irel @ X53 @ X55 )
| ~ ( irel @ X53 @ X54 )
| ( p @ X54 )
| ~ ( irel @ esk1_0 @ X53 ) )
& ( ( irel @ esk7_0 @ esk9_0 )
| ( q @ X55 )
| ~ ( irel @ X53 @ X55 )
| ~ ( irel @ X53 @ X54 )
| ( p @ X54 )
| ~ ( irel @ esk1_0 @ X53 ) )
& ( ~ ( q @ esk9_0 )
| ~ ( r @ esk9_0 )
| ( q @ X55 )
| ~ ( irel @ X53 @ X55 )
| ~ ( irel @ X53 @ X54 )
| ( p @ X54 )
| ~ ( irel @ esk1_0 @ X53 ) )
& ( ~ ( irel @ X61 @ X62 )
| ( p @ X62 )
| ~ ( irel @ X61 @ X63 )
| ( q @ X63 )
| ~ ( irel @ esk1_0 @ X61 )
| ( r @ X55 )
| ~ ( irel @ X53 @ X55 )
| ~ ( irel @ X53 @ X54 )
| ( p @ X54 )
| ~ ( irel @ esk1_0 @ X53 ) )
& ( ~ ( irel @ X61 @ X64 )
| ( p @ X64 )
| ~ ( irel @ X61 @ X65 )
| ( r @ X65 )
| ~ ( irel @ esk1_0 @ X61 )
| ( r @ X55 )
| ~ ( irel @ X53 @ X55 )
| ~ ( irel @ X53 @ X54 )
| ( p @ X54 )
| ~ ( irel @ esk1_0 @ X53 ) )
& ( ( irel @ esk1_0 @ esk7_0 )
| ( r @ X55 )
| ~ ( irel @ X53 @ X55 )
| ~ ( irel @ X53 @ X54 )
| ( p @ X54 )
| ~ ( irel @ esk1_0 @ X53 ) )
& ( ( irel @ esk7_0 @ esk8_0 )
| ( r @ X55 )
| ~ ( irel @ X53 @ X55 )
| ~ ( irel @ X53 @ X54 )
| ( p @ X54 )
| ~ ( irel @ esk1_0 @ X53 ) )
& ( ~ ( p @ esk8_0 )
| ( r @ X55 )
| ~ ( irel @ X53 @ X55 )
| ~ ( irel @ X53 @ X54 )
| ( p @ X54 )
| ~ ( irel @ esk1_0 @ X53 ) )
& ( ( irel @ esk7_0 @ esk9_0 )
| ( r @ X55 )
| ~ ( irel @ X53 @ X55 )
| ~ ( irel @ X53 @ X54 )
| ( p @ X54 )
| ~ ( irel @ esk1_0 @ X53 ) )
& ( ~ ( q @ esk9_0 )
| ~ ( r @ esk9_0 )
| ( r @ X55 )
| ~ ( irel @ X53 @ X55 )
| ~ ( irel @ X53 @ X54 )
| ( p @ X54 )
| ~ ( irel @ esk1_0 @ X53 ) )
& ( ~ ( irel @ X61 @ X62 )
| ( p @ X62 )
| ~ ( irel @ X61 @ X63 )
| ( q @ X63 )
| ~ ( irel @ esk1_0 @ X61 )
| ( irel @ esk1_0 @ esk2_0 ) )
& ( ~ ( irel @ X61 @ X64 )
| ( p @ X64 )
| ~ ( irel @ X61 @ X65 )
| ( r @ X65 )
| ~ ( irel @ esk1_0 @ X61 )
| ( irel @ esk1_0 @ esk2_0 ) )
& ( ( irel @ esk1_0 @ esk7_0 )
| ( irel @ esk1_0 @ esk2_0 ) )
& ( ( irel @ esk7_0 @ esk8_0 )
| ( irel @ esk1_0 @ esk2_0 ) )
& ( ~ ( p @ esk8_0 )
| ( irel @ esk1_0 @ esk2_0 ) )
& ( ( irel @ esk7_0 @ esk9_0 )
| ( irel @ esk1_0 @ esk2_0 ) )
& ( ~ ( q @ esk9_0 )
| ~ ( r @ esk9_0 )
| ( irel @ esk1_0 @ esk2_0 ) )
& ( ~ ( irel @ X61 @ X62 )
| ( p @ X62 )
| ~ ( irel @ X61 @ X63 )
| ( q @ X63 )
| ~ ( irel @ esk1_0 @ X61 )
| ( irel @ esk2_0 @ esk5_0 )
| ( irel @ esk2_0 @ esk3_0 ) )
& ( ~ ( irel @ X61 @ X64 )
| ( p @ X64 )
| ~ ( irel @ X61 @ X65 )
| ( r @ X65 )
| ~ ( irel @ esk1_0 @ X61 )
| ( irel @ esk2_0 @ esk5_0 )
| ( irel @ esk2_0 @ esk3_0 ) )
& ( ( irel @ esk1_0 @ esk7_0 )
| ( irel @ esk2_0 @ esk5_0 )
| ( irel @ esk2_0 @ esk3_0 ) )
& ( ( irel @ esk7_0 @ esk8_0 )
| ( irel @ esk2_0 @ esk5_0 )
| ( irel @ esk2_0 @ esk3_0 ) )
& ( ~ ( p @ esk8_0 )
| ( irel @ esk2_0 @ esk5_0 )
| ( irel @ esk2_0 @ esk3_0 ) )
& ( ( irel @ esk7_0 @ esk9_0 )
| ( irel @ esk2_0 @ esk5_0 )
| ( irel @ esk2_0 @ esk3_0 ) )
& ( ~ ( q @ esk9_0 )
| ~ ( r @ esk9_0 )
| ( irel @ esk2_0 @ esk5_0 )
| ( irel @ esk2_0 @ esk3_0 ) )
& ( ~ ( irel @ X61 @ X62 )
| ( p @ X62 )
| ~ ( irel @ X61 @ X63 )
| ( q @ X63 )
| ~ ( irel @ esk1_0 @ X61 )
| ~ ( p @ esk5_0 )
| ( irel @ esk2_0 @ esk3_0 ) )
& ( ~ ( irel @ X61 @ X64 )
| ( p @ X64 )
| ~ ( irel @ X61 @ X65 )
| ( r @ X65 )
| ~ ( irel @ esk1_0 @ X61 )
| ~ ( p @ esk5_0 )
| ( irel @ esk2_0 @ esk3_0 ) )
& ( ( irel @ esk1_0 @ esk7_0 )
| ~ ( p @ esk5_0 )
| ( irel @ esk2_0 @ esk3_0 ) )
& ( ( irel @ esk7_0 @ esk8_0 )
| ~ ( p @ esk5_0 )
| ( irel @ esk2_0 @ esk3_0 ) )
& ( ~ ( p @ esk8_0 )
| ~ ( p @ esk5_0 )
| ( irel @ esk2_0 @ esk3_0 ) )
& ( ( irel @ esk7_0 @ esk9_0 )
| ~ ( p @ esk5_0 )
| ( irel @ esk2_0 @ esk3_0 ) )
& ( ~ ( q @ esk9_0 )
| ~ ( r @ esk9_0 )
| ~ ( p @ esk5_0 )
| ( irel @ esk2_0 @ esk3_0 ) )
& ( ~ ( irel @ X61 @ X62 )
| ( p @ X62 )
| ~ ( irel @ X61 @ X63 )
| ( q @ X63 )
| ~ ( irel @ esk1_0 @ X61 )
| ( irel @ esk2_0 @ esk6_0 )
| ( irel @ esk2_0 @ esk3_0 ) )
& ( ~ ( irel @ X61 @ X64 )
| ( p @ X64 )
| ~ ( irel @ X61 @ X65 )
| ( r @ X65 )
| ~ ( irel @ esk1_0 @ X61 )
| ( irel @ esk2_0 @ esk6_0 )
| ( irel @ esk2_0 @ esk3_0 ) )
& ( ( irel @ esk1_0 @ esk7_0 )
| ( irel @ esk2_0 @ esk6_0 )
| ( irel @ esk2_0 @ esk3_0 ) )
& ( ( irel @ esk7_0 @ esk8_0 )
| ( irel @ esk2_0 @ esk6_0 )
| ( irel @ esk2_0 @ esk3_0 ) )
& ( ~ ( p @ esk8_0 )
| ( irel @ esk2_0 @ esk6_0 )
| ( irel @ esk2_0 @ esk3_0 ) )
& ( ( irel @ esk7_0 @ esk9_0 )
| ( irel @ esk2_0 @ esk6_0 )
| ( irel @ esk2_0 @ esk3_0 ) )
& ( ~ ( q @ esk9_0 )
| ~ ( r @ esk9_0 )
| ( irel @ esk2_0 @ esk6_0 )
| ( irel @ esk2_0 @ esk3_0 ) )
& ( ~ ( irel @ X61 @ X62 )
| ( p @ X62 )
| ~ ( irel @ X61 @ X63 )
| ( q @ X63 )
| ~ ( irel @ esk1_0 @ X61 )
| ~ ( r @ esk6_0 )
| ( irel @ esk2_0 @ esk3_0 ) )
& ( ~ ( irel @ X61 @ X64 )
| ( p @ X64 )
| ~ ( irel @ X61 @ X65 )
| ( r @ X65 )
| ~ ( irel @ esk1_0 @ X61 )
| ~ ( r @ esk6_0 )
| ( irel @ esk2_0 @ esk3_0 ) )
& ( ( irel @ esk1_0 @ esk7_0 )
| ~ ( r @ esk6_0 )
| ( irel @ esk2_0 @ esk3_0 ) )
& ( ( irel @ esk7_0 @ esk8_0 )
| ~ ( r @ esk6_0 )
| ( irel @ esk2_0 @ esk3_0 ) )
& ( ~ ( p @ esk8_0 )
| ~ ( r @ esk6_0 )
| ( irel @ esk2_0 @ esk3_0 ) )
& ( ( irel @ esk7_0 @ esk9_0 )
| ~ ( r @ esk6_0 )
| ( irel @ esk2_0 @ esk3_0 ) )
& ( ~ ( q @ esk9_0 )
| ~ ( r @ esk9_0 )
| ~ ( r @ esk6_0 )
| ( irel @ esk2_0 @ esk3_0 ) )
& ( ~ ( irel @ X61 @ X62 )
| ( p @ X62 )
| ~ ( irel @ X61 @ X63 )
| ( q @ X63 )
| ~ ( irel @ esk1_0 @ X61 )
| ( irel @ esk2_0 @ esk5_0 )
| ~ ( p @ esk3_0 ) )
& ( ~ ( irel @ X61 @ X64 )
| ( p @ X64 )
| ~ ( irel @ X61 @ X65 )
| ( r @ X65 )
| ~ ( irel @ esk1_0 @ X61 )
| ( irel @ esk2_0 @ esk5_0 )
| ~ ( p @ esk3_0 ) )
& ( ( irel @ esk1_0 @ esk7_0 )
| ( irel @ esk2_0 @ esk5_0 )
| ~ ( p @ esk3_0 ) )
& ( ( irel @ esk7_0 @ esk8_0 )
| ( irel @ esk2_0 @ esk5_0 )
| ~ ( p @ esk3_0 ) )
& ( ~ ( p @ esk8_0 )
| ( irel @ esk2_0 @ esk5_0 )
| ~ ( p @ esk3_0 ) )
& ( ( irel @ esk7_0 @ esk9_0 )
| ( irel @ esk2_0 @ esk5_0 )
| ~ ( p @ esk3_0 ) )
& ( ~ ( q @ esk9_0 )
| ~ ( r @ esk9_0 )
| ( irel @ esk2_0 @ esk5_0 )
| ~ ( p @ esk3_0 ) )
& ( ~ ( irel @ X61 @ X62 )
| ( p @ X62 )
| ~ ( irel @ X61 @ X63 )
| ( q @ X63 )
| ~ ( irel @ esk1_0 @ X61 )
| ~ ( p @ esk5_0 )
| ~ ( p @ esk3_0 ) )
& ( ~ ( irel @ X61 @ X64 )
| ( p @ X64 )
| ~ ( irel @ X61 @ X65 )
| ( r @ X65 )
| ~ ( irel @ esk1_0 @ X61 )
| ~ ( p @ esk5_0 )
| ~ ( p @ esk3_0 ) )
& ( ( irel @ esk1_0 @ esk7_0 )
| ~ ( p @ esk5_0 )
| ~ ( p @ esk3_0 ) )
& ( ( irel @ esk7_0 @ esk8_0 )
| ~ ( p @ esk5_0 )
| ~ ( p @ esk3_0 ) )
& ( ~ ( p @ esk8_0 )
| ~ ( p @ esk5_0 )
| ~ ( p @ esk3_0 ) )
& ( ( irel @ esk7_0 @ esk9_0 )
| ~ ( p @ esk5_0 )
| ~ ( p @ esk3_0 ) )
& ( ~ ( q @ esk9_0 )
| ~ ( r @ esk9_0 )
| ~ ( p @ esk5_0 )
| ~ ( p @ esk3_0 ) )
& ( ~ ( irel @ X61 @ X62 )
| ( p @ X62 )
| ~ ( irel @ X61 @ X63 )
| ( q @ X63 )
| ~ ( irel @ esk1_0 @ X61 )
| ( irel @ esk2_0 @ esk6_0 )
| ~ ( p @ esk3_0 ) )
& ( ~ ( irel @ X61 @ X64 )
| ( p @ X64 )
| ~ ( irel @ X61 @ X65 )
| ( r @ X65 )
| ~ ( irel @ esk1_0 @ X61 )
| ( irel @ esk2_0 @ esk6_0 )
| ~ ( p @ esk3_0 ) )
& ( ( irel @ esk1_0 @ esk7_0 )
| ( irel @ esk2_0 @ esk6_0 )
| ~ ( p @ esk3_0 ) )
& ( ( irel @ esk7_0 @ esk8_0 )
| ( irel @ esk2_0 @ esk6_0 )
| ~ ( p @ esk3_0 ) )
& ( ~ ( p @ esk8_0 )
| ( irel @ esk2_0 @ esk6_0 )
| ~ ( p @ esk3_0 ) )
& ( ( irel @ esk7_0 @ esk9_0 )
| ( irel @ esk2_0 @ esk6_0 )
| ~ ( p @ esk3_0 ) )
& ( ~ ( q @ esk9_0 )
| ~ ( r @ esk9_0 )
| ( irel @ esk2_0 @ esk6_0 )
| ~ ( p @ esk3_0 ) )
& ( ~ ( irel @ X61 @ X62 )
| ( p @ X62 )
| ~ ( irel @ X61 @ X63 )
| ( q @ X63 )
| ~ ( irel @ esk1_0 @ X61 )
| ~ ( r @ esk6_0 )
| ~ ( p @ esk3_0 ) )
& ( ~ ( irel @ X61 @ X64 )
| ( p @ X64 )
| ~ ( irel @ X61 @ X65 )
| ( r @ X65 )
| ~ ( irel @ esk1_0 @ X61 )
| ~ ( r @ esk6_0 )
| ~ ( p @ esk3_0 ) )
& ( ( irel @ esk1_0 @ esk7_0 )
| ~ ( r @ esk6_0 )
| ~ ( p @ esk3_0 ) )
& ( ( irel @ esk7_0 @ esk8_0 )
| ~ ( r @ esk6_0 )
| ~ ( p @ esk3_0 ) )
& ( ~ ( p @ esk8_0 )
| ~ ( r @ esk6_0 )
| ~ ( p @ esk3_0 ) )
& ( ( irel @ esk7_0 @ esk9_0 )
| ~ ( r @ esk6_0 )
| ~ ( p @ esk3_0 ) )
& ( ~ ( q @ esk9_0 )
| ~ ( r @ esk9_0 )
| ~ ( r @ esk6_0 )
| ~ ( p @ esk3_0 ) )
& ( ~ ( irel @ X61 @ X62 )
| ( p @ X62 )
| ~ ( irel @ X61 @ X63 )
| ( q @ X63 )
| ~ ( irel @ esk1_0 @ X61 )
| ( irel @ esk2_0 @ esk5_0 )
| ( irel @ esk2_0 @ esk4_0 ) )
& ( ~ ( irel @ X61 @ X64 )
| ( p @ X64 )
| ~ ( irel @ X61 @ X65 )
| ( r @ X65 )
| ~ ( irel @ esk1_0 @ X61 )
| ( irel @ esk2_0 @ esk5_0 )
| ( irel @ esk2_0 @ esk4_0 ) )
& ( ( irel @ esk1_0 @ esk7_0 )
| ( irel @ esk2_0 @ esk5_0 )
| ( irel @ esk2_0 @ esk4_0 ) )
& ( ( irel @ esk7_0 @ esk8_0 )
| ( irel @ esk2_0 @ esk5_0 )
| ( irel @ esk2_0 @ esk4_0 ) )
& ( ~ ( p @ esk8_0 )
| ( irel @ esk2_0 @ esk5_0 )
| ( irel @ esk2_0 @ esk4_0 ) )
& ( ( irel @ esk7_0 @ esk9_0 )
| ( irel @ esk2_0 @ esk5_0 )
| ( irel @ esk2_0 @ esk4_0 ) )
& ( ~ ( q @ esk9_0 )
| ~ ( r @ esk9_0 )
| ( irel @ esk2_0 @ esk5_0 )
| ( irel @ esk2_0 @ esk4_0 ) )
& ( ~ ( irel @ X61 @ X62 )
| ( p @ X62 )
| ~ ( irel @ X61 @ X63 )
| ( q @ X63 )
| ~ ( irel @ esk1_0 @ X61 )
| ~ ( p @ esk5_0 )
| ( irel @ esk2_0 @ esk4_0 ) )
& ( ~ ( irel @ X61 @ X64 )
| ( p @ X64 )
| ~ ( irel @ X61 @ X65 )
| ( r @ X65 )
| ~ ( irel @ esk1_0 @ X61 )
| ~ ( p @ esk5_0 )
| ( irel @ esk2_0 @ esk4_0 ) )
& ( ( irel @ esk1_0 @ esk7_0 )
| ~ ( p @ esk5_0 )
| ( irel @ esk2_0 @ esk4_0 ) )
& ( ( irel @ esk7_0 @ esk8_0 )
| ~ ( p @ esk5_0 )
| ( irel @ esk2_0 @ esk4_0 ) )
& ( ~ ( p @ esk8_0 )
| ~ ( p @ esk5_0 )
| ( irel @ esk2_0 @ esk4_0 ) )
& ( ( irel @ esk7_0 @ esk9_0 )
| ~ ( p @ esk5_0 )
| ( irel @ esk2_0 @ esk4_0 ) )
& ( ~ ( q @ esk9_0 )
| ~ ( r @ esk9_0 )
| ~ ( p @ esk5_0 )
| ( irel @ esk2_0 @ esk4_0 ) )
& ( ~ ( irel @ X61 @ X62 )
| ( p @ X62 )
| ~ ( irel @ X61 @ X63 )
| ( q @ X63 )
| ~ ( irel @ esk1_0 @ X61 )
| ( irel @ esk2_0 @ esk6_0 )
| ( irel @ esk2_0 @ esk4_0 ) )
& ( ~ ( irel @ X61 @ X64 )
| ( p @ X64 )
| ~ ( irel @ X61 @ X65 )
| ( r @ X65 )
| ~ ( irel @ esk1_0 @ X61 )
| ( irel @ esk2_0 @ esk6_0 )
| ( irel @ esk2_0 @ esk4_0 ) )
& ( ( irel @ esk1_0 @ esk7_0 )
| ( irel @ esk2_0 @ esk6_0 )
| ( irel @ esk2_0 @ esk4_0 ) )
& ( ( irel @ esk7_0 @ esk8_0 )
| ( irel @ esk2_0 @ esk6_0 )
| ( irel @ esk2_0 @ esk4_0 ) )
& ( ~ ( p @ esk8_0 )
| ( irel @ esk2_0 @ esk6_0 )
| ( irel @ esk2_0 @ esk4_0 ) )
& ( ( irel @ esk7_0 @ esk9_0 )
| ( irel @ esk2_0 @ esk6_0 )
| ( irel @ esk2_0 @ esk4_0 ) )
& ( ~ ( q @ esk9_0 )
| ~ ( r @ esk9_0 )
| ( irel @ esk2_0 @ esk6_0 )
| ( irel @ esk2_0 @ esk4_0 ) )
& ( ~ ( irel @ X61 @ X62 )
| ( p @ X62 )
| ~ ( irel @ X61 @ X63 )
| ( q @ X63 )
| ~ ( irel @ esk1_0 @ X61 )
| ~ ( r @ esk6_0 )
| ( irel @ esk2_0 @ esk4_0 ) )
& ( ~ ( irel @ X61 @ X64 )
| ( p @ X64 )
| ~ ( irel @ X61 @ X65 )
| ( r @ X65 )
| ~ ( irel @ esk1_0 @ X61 )
| ~ ( r @ esk6_0 )
| ( irel @ esk2_0 @ esk4_0 ) )
& ( ( irel @ esk1_0 @ esk7_0 )
| ~ ( r @ esk6_0 )
| ( irel @ esk2_0 @ esk4_0 ) )
& ( ( irel @ esk7_0 @ esk8_0 )
| ~ ( r @ esk6_0 )
| ( irel @ esk2_0 @ esk4_0 ) )
& ( ~ ( p @ esk8_0 )
| ~ ( r @ esk6_0 )
| ( irel @ esk2_0 @ esk4_0 ) )
& ( ( irel @ esk7_0 @ esk9_0 )
| ~ ( r @ esk6_0 )
| ( irel @ esk2_0 @ esk4_0 ) )
& ( ~ ( q @ esk9_0 )
| ~ ( r @ esk9_0 )
| ~ ( r @ esk6_0 )
| ( irel @ esk2_0 @ esk4_0 ) )
& ( ~ ( irel @ X61 @ X62 )
| ( p @ X62 )
| ~ ( irel @ X61 @ X63 )
| ( q @ X63 )
| ~ ( irel @ esk1_0 @ X61 )
| ( irel @ esk2_0 @ esk5_0 )
| ~ ( q @ esk4_0 ) )
& ( ~ ( irel @ X61 @ X64 )
| ( p @ X64 )
| ~ ( irel @ X61 @ X65 )
| ( r @ X65 )
| ~ ( irel @ esk1_0 @ X61 )
| ( irel @ esk2_0 @ esk5_0 )
| ~ ( q @ esk4_0 ) )
& ( ( irel @ esk1_0 @ esk7_0 )
| ( irel @ esk2_0 @ esk5_0 )
| ~ ( q @ esk4_0 ) )
& ( ( irel @ esk7_0 @ esk8_0 )
| ( irel @ esk2_0 @ esk5_0 )
| ~ ( q @ esk4_0 ) )
& ( ~ ( p @ esk8_0 )
| ( irel @ esk2_0 @ esk5_0 )
| ~ ( q @ esk4_0 ) )
& ( ( irel @ esk7_0 @ esk9_0 )
| ( irel @ esk2_0 @ esk5_0 )
| ~ ( q @ esk4_0 ) )
& ( ~ ( q @ esk9_0 )
| ~ ( r @ esk9_0 )
| ( irel @ esk2_0 @ esk5_0 )
| ~ ( q @ esk4_0 ) )
& ( ~ ( irel @ X61 @ X62 )
| ( p @ X62 )
| ~ ( irel @ X61 @ X63 )
| ( q @ X63 )
| ~ ( irel @ esk1_0 @ X61 )
| ~ ( p @ esk5_0 )
| ~ ( q @ esk4_0 ) )
& ( ~ ( irel @ X61 @ X64 )
| ( p @ X64 )
| ~ ( irel @ X61 @ X65 )
| ( r @ X65 )
| ~ ( irel @ esk1_0 @ X61 )
| ~ ( p @ esk5_0 )
| ~ ( q @ esk4_0 ) )
& ( ( irel @ esk1_0 @ esk7_0 )
| ~ ( p @ esk5_0 )
| ~ ( q @ esk4_0 ) )
& ( ( irel @ esk7_0 @ esk8_0 )
| ~ ( p @ esk5_0 )
| ~ ( q @ esk4_0 ) )
& ( ~ ( p @ esk8_0 )
| ~ ( p @ esk5_0 )
| ~ ( q @ esk4_0 ) )
& ( ( irel @ esk7_0 @ esk9_0 )
| ~ ( p @ esk5_0 )
| ~ ( q @ esk4_0 ) )
& ( ~ ( q @ esk9_0 )
| ~ ( r @ esk9_0 )
| ~ ( p @ esk5_0 )
| ~ ( q @ esk4_0 ) )
& ( ~ ( irel @ X61 @ X62 )
| ( p @ X62 )
| ~ ( irel @ X61 @ X63 )
| ( q @ X63 )
| ~ ( irel @ esk1_0 @ X61 )
| ( irel @ esk2_0 @ esk6_0 )
| ~ ( q @ esk4_0 ) )
& ( ~ ( irel @ X61 @ X64 )
| ( p @ X64 )
| ~ ( irel @ X61 @ X65 )
| ( r @ X65 )
| ~ ( irel @ esk1_0 @ X61 )
| ( irel @ esk2_0 @ esk6_0 )
| ~ ( q @ esk4_0 ) )
& ( ( irel @ esk1_0 @ esk7_0 )
| ( irel @ esk2_0 @ esk6_0 )
| ~ ( q @ esk4_0 ) )
& ( ( irel @ esk7_0 @ esk8_0 )
| ( irel @ esk2_0 @ esk6_0 )
| ~ ( q @ esk4_0 ) )
& ( ~ ( p @ esk8_0 )
| ( irel @ esk2_0 @ esk6_0 )
| ~ ( q @ esk4_0 ) )
& ( ( irel @ esk7_0 @ esk9_0 )
| ( irel @ esk2_0 @ esk6_0 )
| ~ ( q @ esk4_0 ) )
& ( ~ ( q @ esk9_0 )
| ~ ( r @ esk9_0 )
| ( irel @ esk2_0 @ esk6_0 )
| ~ ( q @ esk4_0 ) )
& ( ~ ( irel @ X61 @ X62 )
| ( p @ X62 )
| ~ ( irel @ X61 @ X63 )
| ( q @ X63 )
| ~ ( irel @ esk1_0 @ X61 )
| ~ ( r @ esk6_0 )
| ~ ( q @ esk4_0 ) )
& ( ~ ( irel @ X61 @ X64 )
| ( p @ X64 )
| ~ ( irel @ X61 @ X65 )
| ( r @ X65 )
| ~ ( irel @ esk1_0 @ X61 )
| ~ ( r @ esk6_0 )
| ~ ( q @ esk4_0 ) )
& ( ( irel @ esk1_0 @ esk7_0 )
| ~ ( r @ esk6_0 )
| ~ ( q @ esk4_0 ) )
& ( ( irel @ esk7_0 @ esk8_0 )
| ~ ( r @ esk6_0 )
| ~ ( q @ esk4_0 ) )
& ( ~ ( p @ esk8_0 )
| ~ ( r @ esk6_0 )
| ~ ( q @ esk4_0 ) )
& ( ( irel @ esk7_0 @ esk9_0 )
| ~ ( r @ esk6_0 )
| ~ ( q @ esk4_0 ) )
& ( ~ ( q @ esk9_0 )
| ~ ( r @ esk9_0 )
| ~ ( r @ esk6_0 )
| ~ ( q @ esk4_0 ) ) ),
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_31])])])])])]) ).
thf(c_0_34,plain,
! [X48: $i] : ( irel @ X48 @ X48 ),
inference(variable_rename,[status(thm)],[refl_axiom]) ).
thf(c_0_35,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_36,negated_conjecture,
( ( irel @ esk7_0 @ esk9_0 )
| ( irel @ esk1_0 @ esk2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
thf(c_0_37,negated_conjecture,
! [X3: $i,X2: $i,X1: $i] :
( ( p @ X2 )
| ( q @ X3 )
| ( irel @ esk1_0 @ esk2_0 )
| ~ ( irel @ X1 @ X2 )
| ~ ( irel @ X1 @ X3 )
| ~ ( irel @ esk1_0 @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
thf(c_0_38,plain,
! [X1: $i] : ( irel @ X1 @ X1 ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
thf(c_0_39,negated_conjecture,
! [X1: $i] :
( ( irel @ esk1_0 @ esk2_0 )
| ( irel @ X1 @ esk9_0 )
| ~ ( irel @ X1 @ esk7_0 ) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
thf(c_0_40,negated_conjecture,
( ( irel @ esk1_0 @ esk7_0 )
| ( irel @ esk1_0 @ esk2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
thf(c_0_41,negated_conjecture,
( ( irel @ esk7_0 @ esk8_0 )
| ( irel @ esk1_0 @ esk2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
thf(c_0_42,negated_conjecture,
( ( irel @ esk7_0 @ esk9_0 )
| ( irel @ esk2_0 @ esk5_0 )
| ( irel @ esk2_0 @ esk3_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
thf(c_0_43,negated_conjecture,
! [X1: $i,X2: $i] :
( ( irel @ esk1_0 @ esk2_0 )
| ( q @ X1 )
| ( p @ X2 )
| ~ ( irel @ esk1_0 @ X1 )
| ~ ( irel @ esk1_0 @ X2 ) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
thf(c_0_44,negated_conjecture,
( ( irel @ esk1_0 @ esk9_0 )
| ( irel @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
thf(c_0_45,negated_conjecture,
! [X1: $i] :
( ( irel @ esk1_0 @ esk2_0 )
| ( irel @ X1 @ esk8_0 )
| ~ ( irel @ X1 @ esk7_0 ) ),
inference(spm,[status(thm)],[c_0_35,c_0_41]) ).
thf(c_0_46,negated_conjecture,
! [X3: $i,X2: $i,X1: $i] :
( ( p @ X2 )
| ( q @ X3 )
| ( irel @ esk2_0 @ esk5_0 )
| ( irel @ esk2_0 @ esk3_0 )
| ~ ( irel @ X1 @ X2 )
| ~ ( irel @ X1 @ X3 )
| ~ ( irel @ esk1_0 @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
thf(c_0_47,negated_conjecture,
! [X1: $i] :
( ( irel @ esk2_0 @ esk5_0 )
| ( irel @ esk2_0 @ esk3_0 )
| ( irel @ X1 @ esk9_0 )
| ~ ( irel @ X1 @ esk7_0 ) ),
inference(spm,[status(thm)],[c_0_35,c_0_42]) ).
thf(c_0_48,negated_conjecture,
( ( irel @ esk1_0 @ esk7_0 )
| ( irel @ esk2_0 @ esk5_0 )
| ( irel @ esk2_0 @ esk3_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
thf(c_0_49,negated_conjecture,
( ( irel @ esk7_0 @ esk8_0 )
| ( irel @ esk2_0 @ esk5_0 )
| ( irel @ esk2_0 @ esk3_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
thf(c_0_50,negated_conjecture,
! [X1: $i] :
( ( irel @ esk1_0 @ esk2_0 )
| ( q @ esk9_0 )
| ( p @ X1 )
| ~ ( irel @ esk1_0 @ X1 ) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
thf(c_0_51,negated_conjecture,
( ( irel @ esk1_0 @ esk8_0 )
| ( irel @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_45,c_0_40]) ).
thf(c_0_52,negated_conjecture,
( ( irel @ esk1_0 @ esk2_0 )
| ~ ( p @ esk8_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
thf(c_0_53,negated_conjecture,
! [X1: $i,X2: $i] :
( ( irel @ esk2_0 @ esk5_0 )
| ( irel @ esk2_0 @ esk3_0 )
| ( q @ X1 )
| ( p @ X2 )
| ~ ( irel @ esk1_0 @ X1 )
| ~ ( irel @ esk1_0 @ X2 ) ),
inference(spm,[status(thm)],[c_0_46,c_0_38]) ).
thf(c_0_54,negated_conjecture,
( ( irel @ esk1_0 @ esk9_0 )
| ( irel @ esk2_0 @ esk3_0 )
| ( irel @ esk2_0 @ esk5_0 ) ),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
thf(c_0_55,negated_conjecture,
! [X1: $i] :
( ( irel @ esk2_0 @ esk5_0 )
| ( irel @ esk2_0 @ esk3_0 )
| ( irel @ X1 @ esk8_0 )
| ~ ( irel @ X1 @ esk7_0 ) ),
inference(spm,[status(thm)],[c_0_35,c_0_49]) ).
thf(c_0_56,negated_conjecture,
! [X3: $i,X2: $i,X1: $i] :
( ( p @ X2 )
| ( r @ X3 )
| ( irel @ esk1_0 @ esk2_0 )
| ~ ( irel @ X1 @ X2 )
| ~ ( irel @ X1 @ X3 )
| ~ ( irel @ esk1_0 @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
thf(c_0_57,negated_conjecture,
( ( irel @ esk1_0 @ esk2_0 )
| ~ ( q @ esk9_0 )
| ~ ( r @ esk9_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
thf(c_0_58,negated_conjecture,
( ( irel @ esk1_0 @ esk2_0 )
| ( q @ esk9_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_52]) ).
thf(c_0_59,negated_conjecture,
! [X1: $i] :
( ( irel @ esk2_0 @ esk3_0 )
| ( irel @ esk2_0 @ esk5_0 )
| ( q @ esk9_0 )
| ( p @ X1 )
| ~ ( irel @ esk1_0 @ X1 ) ),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
thf(c_0_60,negated_conjecture,
( ( irel @ esk1_0 @ esk8_0 )
| ( irel @ esk2_0 @ esk3_0 )
| ( irel @ esk2_0 @ esk5_0 ) ),
inference(spm,[status(thm)],[c_0_55,c_0_48]) ).
thf(c_0_61,negated_conjecture,
( ( irel @ esk2_0 @ esk5_0 )
| ( irel @ esk2_0 @ esk3_0 )
| ~ ( p @ esk8_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
thf(c_0_62,negated_conjecture,
! [X1: $i,X2: $i] :
( ( irel @ esk1_0 @ esk2_0 )
| ( r @ X1 )
| ( p @ X2 )
| ~ ( irel @ esk1_0 @ X1 )
| ~ ( irel @ esk1_0 @ X2 ) ),
inference(spm,[status(thm)],[c_0_56,c_0_38]) ).
thf(c_0_63,negated_conjecture,
( ( irel @ esk1_0 @ esk2_0 )
| ~ ( r @ esk9_0 ) ),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
thf(c_0_64,negated_conjecture,
! [X3: $i,X2: $i,X1: $i] :
( ( p @ X2 )
| ( r @ X3 )
| ( irel @ esk2_0 @ esk5_0 )
| ( irel @ esk2_0 @ esk3_0 )
| ~ ( irel @ X1 @ X2 )
| ~ ( irel @ X1 @ X3 )
| ~ ( irel @ esk1_0 @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
thf(c_0_65,negated_conjecture,
( ( irel @ esk2_0 @ esk5_0 )
| ( irel @ esk2_0 @ esk3_0 )
| ~ ( q @ esk9_0 )
| ~ ( r @ esk9_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
thf(c_0_66,negated_conjecture,
( ( irel @ esk2_0 @ esk5_0 )
| ( irel @ esk2_0 @ esk3_0 )
| ( q @ esk9_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_61]) ).
thf(c_0_67,negated_conjecture,
! [X1: $i] :
( ( irel @ esk1_0 @ esk2_0 )
| ( p @ X1 )
| ~ ( irel @ esk1_0 @ X1 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_44]),c_0_63]) ).
thf(c_0_68,negated_conjecture,
! [X1: $i,X2: $i] :
( ( irel @ esk2_0 @ esk5_0 )
| ( irel @ esk2_0 @ esk3_0 )
| ( r @ X1 )
| ( p @ X2 )
| ~ ( irel @ esk1_0 @ X1 )
| ~ ( irel @ esk1_0 @ X2 ) ),
inference(spm,[status(thm)],[c_0_64,c_0_38]) ).
thf(c_0_69,negated_conjecture,
( ( irel @ esk2_0 @ esk5_0 )
| ( irel @ esk2_0 @ esk3_0 )
| ~ ( r @ esk9_0 ) ),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
thf(c_0_70,negated_conjecture,
! [X1: $i,X3: $i,X2: $i] :
( ( irel @ esk7_0 @ esk9_0 )
| ( r @ X1 )
| ( p @ X3 )
| ~ ( irel @ X2 @ X1 )
| ~ ( irel @ X2 @ X3 )
| ~ ( irel @ esk1_0 @ X2 ) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
thf(c_0_71,negated_conjecture,
irel @ esk1_0 @ esk2_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_67]),c_0_51]) ).
thf(c_0_72,negated_conjecture,
! [X1: $i] :
( ( irel @ esk2_0 @ esk3_0 )
| ( irel @ esk2_0 @ esk5_0 )
| ( p @ X1 )
| ~ ( irel @ esk1_0 @ X1 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_54]),c_0_69]) ).
thf(c_0_73,negated_conjecture,
( ( irel @ esk7_0 @ esk9_0 )
| ( irel @ esk2_0 @ esk6_0 )
| ( irel @ esk2_0 @ esk3_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
thf(c_0_74,negated_conjecture,
! [X2: $i,X1: $i] :
( ( irel @ esk7_0 @ esk9_0 )
| ( r @ X1 )
| ( p @ X2 )
| ~ ( irel @ esk2_0 @ X2 )
| ~ ( irel @ esk2_0 @ X1 ) ),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
thf(c_0_75,negated_conjecture,
( ( irel @ esk2_0 @ esk5_0 )
| ( irel @ esk2_0 @ esk3_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_72]),c_0_60]) ).
thf(c_0_76,negated_conjecture,
( ( irel @ esk7_0 @ esk9_0 )
| ( irel @ esk2_0 @ esk3_0 )
| ~ ( p @ esk5_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
thf(c_0_77,negated_conjecture,
! [X1: $i,X3: $i,X2: $i] :
( ( irel @ esk1_0 @ esk7_0 )
| ( r @ X1 )
| ( p @ X3 )
| ~ ( irel @ X2 @ X1 )
| ~ ( irel @ X2 @ X3 )
| ~ ( irel @ esk1_0 @ X2 ) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
thf(c_0_78,negated_conjecture,
! [X3: $i,X2: $i,X1: $i] :
( ( p @ X2 )
| ( q @ X3 )
| ( irel @ esk2_0 @ esk6_0 )
| ( irel @ esk2_0 @ esk3_0 )
| ~ ( irel @ X1 @ X2 )
| ~ ( irel @ X1 @ X3 )
| ~ ( irel @ esk1_0 @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
thf(c_0_79,negated_conjecture,
! [X1: $i] :
( ( irel @ esk2_0 @ esk6_0 )
| ( irel @ esk2_0 @ esk3_0 )
| ( irel @ X1 @ esk9_0 )
| ~ ( irel @ X1 @ esk7_0 ) ),
inference(spm,[status(thm)],[c_0_35,c_0_73]) ).
thf(c_0_80,negated_conjecture,
( ( irel @ esk1_0 @ esk7_0 )
| ( irel @ esk2_0 @ esk6_0 )
| ( irel @ esk2_0 @ esk3_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
thf(c_0_81,negated_conjecture,
( ( irel @ esk7_0 @ esk8_0 )
| ( irel @ esk2_0 @ esk6_0 )
| ( irel @ esk2_0 @ esk3_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
thf(c_0_82,negated_conjecture,
! [X1: $i,X3: $i,X2: $i] :
( ( irel @ esk7_0 @ esk8_0 )
| ( r @ X1 )
| ( p @ X3 )
| ~ ( irel @ X2 @ X1 )
| ~ ( irel @ X2 @ X3 )
| ~ ( irel @ esk1_0 @ X2 ) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
thf(c_0_83,negated_conjecture,
( ( irel @ esk7_0 @ esk9_0 )
| ( irel @ esk2_0 @ esk3_0 )
| ~ ( r @ esk6_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
thf(c_0_84,negated_conjecture,
! [X1: $i] :
( ( irel @ esk2_0 @ esk3_0 )
| ( irel @ esk7_0 @ esk9_0 )
| ( r @ X1 )
| ~ ( irel @ esk2_0 @ X1 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_76]) ).
thf(c_0_85,negated_conjecture,
! [X2: $i,X1: $i] :
( ( irel @ esk1_0 @ esk7_0 )
| ( r @ X1 )
| ( p @ X2 )
| ~ ( irel @ esk2_0 @ X2 )
| ~ ( irel @ esk2_0 @ X1 ) ),
inference(spm,[status(thm)],[c_0_77,c_0_71]) ).
thf(c_0_86,negated_conjecture,
( ( irel @ esk1_0 @ esk7_0 )
| ( irel @ esk2_0 @ esk3_0 )
| ~ ( p @ esk5_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
thf(c_0_87,negated_conjecture,
! [X1: $i,X2: $i] :
( ( irel @ esk2_0 @ esk6_0 )
| ( irel @ esk2_0 @ esk3_0 )
| ( q @ X1 )
| ( p @ X2 )
| ~ ( irel @ esk1_0 @ X1 )
| ~ ( irel @ esk1_0 @ X2 ) ),
inference(spm,[status(thm)],[c_0_78,c_0_38]) ).
thf(c_0_88,negated_conjecture,
( ( irel @ esk1_0 @ esk9_0 )
| ( irel @ esk2_0 @ esk3_0 )
| ( irel @ esk2_0 @ esk6_0 ) ),
inference(spm,[status(thm)],[c_0_79,c_0_80]) ).
thf(c_0_89,negated_conjecture,
! [X1: $i] :
( ( irel @ esk2_0 @ esk6_0 )
| ( irel @ esk2_0 @ esk3_0 )
| ( irel @ X1 @ esk8_0 )
| ~ ( irel @ X1 @ esk7_0 ) ),
inference(spm,[status(thm)],[c_0_35,c_0_81]) ).
thf(c_0_90,negated_conjecture,
! [X2: $i,X1: $i] :
( ( irel @ esk7_0 @ esk8_0 )
| ( r @ X1 )
| ( p @ X2 )
| ~ ( irel @ esk2_0 @ X2 )
| ~ ( irel @ esk2_0 @ X1 ) ),
inference(spm,[status(thm)],[c_0_82,c_0_71]) ).
thf(c_0_91,negated_conjecture,
( ( irel @ esk7_0 @ esk8_0 )
| ( irel @ esk2_0 @ esk3_0 )
| ~ ( p @ esk5_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
thf(c_0_92,negated_conjecture,
( ( irel @ esk7_0 @ esk9_0 )
| ( irel @ esk2_0 @ esk3_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_73]) ).
thf(c_0_93,negated_conjecture,
( ( irel @ esk1_0 @ esk7_0 )
| ( irel @ esk2_0 @ esk3_0 )
| ~ ( r @ esk6_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
thf(c_0_94,negated_conjecture,
! [X1: $i] :
( ( irel @ esk2_0 @ esk3_0 )
| ( irel @ esk1_0 @ esk7_0 )
| ( r @ X1 )
| ~ ( irel @ esk2_0 @ X1 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_75]),c_0_86]) ).
thf(c_0_95,negated_conjecture,
! [X1: $i] :
( ( irel @ esk2_0 @ esk3_0 )
| ( irel @ esk2_0 @ esk6_0 )
| ( q @ esk9_0 )
| ( p @ X1 )
| ~ ( irel @ esk1_0 @ X1 ) ),
inference(spm,[status(thm)],[c_0_87,c_0_88]) ).
thf(c_0_96,negated_conjecture,
( ( irel @ esk1_0 @ esk8_0 )
| ( irel @ esk2_0 @ esk3_0 )
| ( irel @ esk2_0 @ esk6_0 ) ),
inference(spm,[status(thm)],[c_0_89,c_0_80]) ).
thf(c_0_97,negated_conjecture,
( ( irel @ esk2_0 @ esk6_0 )
| ( irel @ esk2_0 @ esk3_0 )
| ~ ( p @ esk8_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
thf(c_0_98,negated_conjecture,
( ( irel @ esk7_0 @ esk8_0 )
| ( irel @ esk2_0 @ esk3_0 )
| ~ ( r @ esk6_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
thf(c_0_99,negated_conjecture,
! [X1: $i] :
( ( irel @ esk2_0 @ esk3_0 )
| ( irel @ esk7_0 @ esk8_0 )
| ( r @ X1 )
| ~ ( irel @ esk2_0 @ X1 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_75]),c_0_91]) ).
thf(c_0_100,negated_conjecture,
! [X3: $i,X2: $i,X1: $i] :
( ( p @ X2 )
| ( r @ X3 )
| ( irel @ esk2_0 @ esk6_0 )
| ( irel @ esk2_0 @ esk3_0 )
| ~ ( irel @ X1 @ X2 )
| ~ ( irel @ X1 @ X3 )
| ~ ( irel @ esk1_0 @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
thf(c_0_101,negated_conjecture,
! [X1: $i] :
( ( irel @ esk2_0 @ esk3_0 )
| ( irel @ X1 @ esk9_0 )
| ~ ( irel @ X1 @ esk7_0 ) ),
inference(spm,[status(thm)],[c_0_35,c_0_92]) ).
thf(c_0_102,negated_conjecture,
( ( irel @ esk2_0 @ esk3_0 )
| ( irel @ esk1_0 @ esk7_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_94]),c_0_80]) ).
thf(c_0_103,negated_conjecture,
( ( irel @ esk2_0 @ esk6_0 )
| ( irel @ esk2_0 @ esk3_0 )
| ~ ( q @ esk9_0 )
| ~ ( r @ esk9_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
thf(c_0_104,negated_conjecture,
( ( irel @ esk2_0 @ esk6_0 )
| ( irel @ esk2_0 @ esk3_0 )
| ( q @ esk9_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_96]),c_0_97]) ).
thf(c_0_105,negated_conjecture,
( ( irel @ esk7_0 @ esk8_0 )
| ( irel @ esk2_0 @ esk3_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_81]) ).
thf(c_0_106,negated_conjecture,
! [X1: $i,X3: $i,X2: $i,X5: $i,X16: $i,X13: $i] :
( ( p @ X2 )
| ( q @ X3 )
| ( q @ X5 )
| ( p @ X16 )
| ~ ( irel @ X1 @ X2 )
| ~ ( irel @ X1 @ X3 )
| ~ ( irel @ esk1_0 @ X1 )
| ~ ( irel @ X13 @ X5 )
| ~ ( irel @ X13 @ X16 )
| ~ ( irel @ esk1_0 @ X13 ) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
thf(c_0_107,negated_conjecture,
! [X1: $i,X2: $i] :
( ( irel @ esk2_0 @ esk6_0 )
| ( irel @ esk2_0 @ esk3_0 )
| ( r @ X1 )
| ( p @ X2 )
| ~ ( irel @ esk1_0 @ X1 )
| ~ ( irel @ esk1_0 @ X2 ) ),
inference(spm,[status(thm)],[c_0_100,c_0_38]) ).
thf(c_0_108,negated_conjecture,
( ( irel @ esk1_0 @ esk9_0 )
| ( irel @ esk2_0 @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_101,c_0_102]) ).
thf(c_0_109,negated_conjecture,
( ( irel @ esk2_0 @ esk6_0 )
| ( irel @ esk2_0 @ esk3_0 )
| ~ ( r @ esk9_0 ) ),
inference(spm,[status(thm)],[c_0_103,c_0_104]) ).
thf(c_0_110,negated_conjecture,
! [X1: $i] :
( ( irel @ esk2_0 @ esk3_0 )
| ( irel @ X1 @ esk8_0 )
| ~ ( irel @ X1 @ esk7_0 ) ),
inference(spm,[status(thm)],[c_0_35,c_0_105]) ).
thf(c_0_111,negated_conjecture,
! [X2: $i,X1: $i,X5: $i,X13: $i,X3: $i] :
( ( q @ X1 )
| ( q @ X2 )
| ( p @ X3 )
| ( p @ X5 )
| ~ ( irel @ esk1_0 @ X13 )
| ~ ( irel @ esk1_0 @ X5 )
| ~ ( irel @ esk1_0 @ X2 )
| ~ ( irel @ X13 @ X1 )
| ~ ( irel @ X13 @ X3 ) ),
inference(spm,[status(thm)],[c_0_106,c_0_38]) ).
thf(c_0_112,negated_conjecture,
! [X1: $i,X3: $i,X2: $i,X5: $i,X16: $i,X13: $i] :
( ( p @ X2 )
| ( r @ X3 )
| ( r @ X5 )
| ( p @ X16 )
| ~ ( irel @ X1 @ X2 )
| ~ ( irel @ X1 @ X3 )
| ~ ( irel @ esk1_0 @ X1 )
| ~ ( irel @ X13 @ X5 )
| ~ ( irel @ X13 @ X16 )
| ~ ( irel @ esk1_0 @ X13 ) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
thf(c_0_113,negated_conjecture,
! [X1: $i] :
( ( irel @ esk2_0 @ esk3_0 )
| ( irel @ esk2_0 @ esk6_0 )
| ( p @ X1 )
| ~ ( irel @ esk1_0 @ X1 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_108]),c_0_109]) ).
thf(c_0_114,negated_conjecture,
( ( irel @ esk1_0 @ esk8_0 )
| ( irel @ esk2_0 @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_110,c_0_102]) ).
thf(c_0_115,negated_conjecture,
! [X1: $i,X2: $i] :
( ( p @ X1 )
| ( q @ X2 )
| ~ ( irel @ esk1_0 @ X1 )
| ~ ( irel @ esk1_0 @ X2 ) ),
inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_38])]) ).
thf(c_0_116,negated_conjecture,
! [X2: $i,X1: $i,X5: $i,X13: $i,X3: $i] :
( ( r @ X1 )
| ( r @ X2 )
| ( p @ X3 )
| ( p @ X5 )
| ~ ( irel @ esk1_0 @ X13 )
| ~ ( irel @ esk1_0 @ X5 )
| ~ ( irel @ esk1_0 @ X2 )
| ~ ( irel @ X13 @ X1 )
| ~ ( irel @ X13 @ X3 ) ),
inference(spm,[status(thm)],[c_0_112,c_0_38]) ).
thf(c_0_117,negated_conjecture,
( ( irel @ esk2_0 @ esk6_0 )
| ( irel @ esk2_0 @ esk3_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_113]),c_0_114]) ).
thf(c_0_118,negated_conjecture,
( ( irel @ esk7_0 @ esk9_0 )
| ( irel @ esk2_0 @ esk5_0 )
| ( irel @ esk2_0 @ esk4_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
thf(c_0_119,negated_conjecture,
( ( irel @ esk2_0 @ esk3_0 )
| ~ ( q @ esk9_0 )
| ~ ( r @ esk9_0 )
| ~ ( r @ esk6_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
thf(c_0_120,negated_conjecture,
! [X1: $i] :
( ( irel @ esk2_0 @ esk3_0 )
| ( p @ esk8_0 )
| ( q @ X1 )
| ~ ( irel @ esk1_0 @ X1 ) ),
inference(spm,[status(thm)],[c_0_115,c_0_114]) ).
thf(c_0_121,negated_conjecture,
( ( irel @ esk2_0 @ esk3_0 )
| ~ ( p @ esk8_0 )
| ~ ( r @ esk6_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
thf(c_0_122,negated_conjecture,
! [X1: $i,X2: $i] :
( ( p @ X1 )
| ( r @ X2 )
| ~ ( irel @ esk1_0 @ X1 )
| ~ ( irel @ esk1_0 @ X2 ) ),
inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_38])]) ).
thf(c_0_123,negated_conjecture,
! [X1: $i] :
( ( irel @ esk2_0 @ esk3_0 )
| ( irel @ X1 @ esk6_0 )
| ~ ( irel @ X1 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_35,c_0_117]) ).
thf(c_0_124,negated_conjecture,
! [X3: $i,X2: $i,X1: $i] :
( ( p @ X2 )
| ( q @ X3 )
| ( irel @ esk2_0 @ esk5_0 )
| ( irel @ esk2_0 @ esk4_0 )
| ~ ( irel @ X1 @ X2 )
| ~ ( irel @ X1 @ X3 )
| ~ ( irel @ esk1_0 @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
thf(c_0_125,negated_conjecture,
! [X1: $i] :
( ( irel @ esk2_0 @ esk5_0 )
| ( irel @ esk2_0 @ esk4_0 )
| ( irel @ X1 @ esk9_0 )
| ~ ( irel @ X1 @ esk7_0 ) ),
inference(spm,[status(thm)],[c_0_35,c_0_118]) ).
thf(c_0_126,negated_conjecture,
( ( irel @ esk1_0 @ esk7_0 )
| ( irel @ esk2_0 @ esk5_0 )
| ( irel @ esk2_0 @ esk4_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
thf(c_0_127,negated_conjecture,
( ( irel @ esk7_0 @ esk8_0 )
| ( irel @ esk2_0 @ esk5_0 )
| ( irel @ esk2_0 @ esk4_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
thf(c_0_128,negated_conjecture,
( ( irel @ esk7_0 @ esk9_0 )
| ( irel @ esk2_0 @ esk6_0 )
| ( irel @ esk2_0 @ esk4_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
thf(c_0_129,negated_conjecture,
( ( irel @ esk2_0 @ esk3_0 )
| ~ ( r @ esk6_0 )
| ~ ( r @ esk9_0 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_120]),c_0_108]),c_0_121]) ).
thf(c_0_130,negated_conjecture,
! [X1: $i] :
( ( irel @ esk2_0 @ esk3_0 )
| ( p @ esk8_0 )
| ( r @ X1 )
| ~ ( irel @ esk1_0 @ X1 ) ),
inference(spm,[status(thm)],[c_0_122,c_0_114]) ).
thf(c_0_131,negated_conjecture,
( ( irel @ esk1_0 @ esk6_0 )
| ( irel @ esk2_0 @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_123,c_0_71]) ).
thf(c_0_132,negated_conjecture,
! [X1: $i,X2: $i] :
( ( irel @ esk2_0 @ esk5_0 )
| ( irel @ esk2_0 @ esk4_0 )
| ( q @ X1 )
| ( p @ X2 )
| ~ ( irel @ esk1_0 @ X1 )
| ~ ( irel @ esk1_0 @ X2 ) ),
inference(spm,[status(thm)],[c_0_124,c_0_38]) ).
thf(c_0_133,negated_conjecture,
( ( irel @ esk1_0 @ esk9_0 )
| ( irel @ esk2_0 @ esk4_0 )
| ( irel @ esk2_0 @ esk5_0 ) ),
inference(spm,[status(thm)],[c_0_125,c_0_126]) ).
thf(c_0_134,negated_conjecture,
! [X1: $i] :
( ( irel @ esk2_0 @ esk5_0 )
| ( irel @ esk2_0 @ esk4_0 )
| ( irel @ X1 @ esk8_0 )
| ~ ( irel @ X1 @ esk7_0 ) ),
inference(spm,[status(thm)],[c_0_35,c_0_127]) ).
thf(c_0_135,negated_conjecture,
! [X3: $i,X2: $i,X1: $i] :
( ( p @ X2 )
| ( q @ X3 )
| ( irel @ esk2_0 @ esk6_0 )
| ( irel @ esk2_0 @ esk4_0 )
| ~ ( irel @ X1 @ X2 )
| ~ ( irel @ X1 @ X3 )
| ~ ( irel @ esk1_0 @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
thf(c_0_136,negated_conjecture,
! [X1: $i] :
( ( irel @ esk2_0 @ esk6_0 )
| ( irel @ esk2_0 @ esk4_0 )
| ( irel @ X1 @ esk9_0 )
| ~ ( irel @ X1 @ esk7_0 ) ),
inference(spm,[status(thm)],[c_0_35,c_0_128]) ).
thf(c_0_137,negated_conjecture,
( ( irel @ esk1_0 @ esk7_0 )
| ( irel @ esk2_0 @ esk6_0 )
| ( irel @ esk2_0 @ esk4_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
thf(c_0_138,negated_conjecture,
( ( irel @ esk7_0 @ esk8_0 )
| ( irel @ esk2_0 @ esk6_0 )
| ( irel @ esk2_0 @ esk4_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
thf(c_0_139,negated_conjecture,
( ( irel @ esk2_0 @ esk3_0 )
| ( p @ esk8_0 )
| ~ ( r @ esk9_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_130]),c_0_131]) ).
thf(c_0_140,negated_conjecture,
! [X1: $i] :
( ( irel @ esk2_0 @ esk4_0 )
| ( irel @ esk2_0 @ esk5_0 )
| ( q @ esk9_0 )
| ( p @ X1 )
| ~ ( irel @ esk1_0 @ X1 ) ),
inference(spm,[status(thm)],[c_0_132,c_0_133]) ).
thf(c_0_141,negated_conjecture,
( ( irel @ esk1_0 @ esk8_0 )
| ( irel @ esk2_0 @ esk4_0 )
| ( irel @ esk2_0 @ esk5_0 ) ),
inference(spm,[status(thm)],[c_0_134,c_0_126]) ).
thf(c_0_142,negated_conjecture,
( ( irel @ esk2_0 @ esk5_0 )
| ( irel @ esk2_0 @ esk4_0 )
| ~ ( p @ esk8_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
thf(c_0_143,negated_conjecture,
! [X1: $i,X2: $i] :
( ( irel @ esk2_0 @ esk6_0 )
| ( irel @ esk2_0 @ esk4_0 )
| ( q @ X1 )
| ( p @ X2 )
| ~ ( irel @ esk1_0 @ X1 )
| ~ ( irel @ esk1_0 @ X2 ) ),
inference(spm,[status(thm)],[c_0_135,c_0_38]) ).
thf(c_0_144,negated_conjecture,
( ( irel @ esk1_0 @ esk9_0 )
| ( irel @ esk2_0 @ esk4_0 )
| ( irel @ esk2_0 @ esk6_0 ) ),
inference(spm,[status(thm)],[c_0_136,c_0_137]) ).
thf(c_0_145,negated_conjecture,
! [X1: $i] :
( ( irel @ esk2_0 @ esk6_0 )
| ( irel @ esk2_0 @ esk4_0 )
| ( irel @ X1 @ esk8_0 )
| ~ ( irel @ X1 @ esk7_0 ) ),
inference(spm,[status(thm)],[c_0_35,c_0_138]) ).
thf(c_0_146,negated_conjecture,
! [X1: $i] :
( ( irel @ esk2_0 @ esk3_0 )
| ( irel @ X1 @ esk5_0 )
| ~ ( irel @ X1 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_35,c_0_75]) ).
thf(c_0_147,negated_conjecture,
( ( irel @ esk2_0 @ esk3_0 )
| ~ ( p @ esk8_0 )
| ~ ( p @ esk5_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
thf(c_0_148,negated_conjecture,
( ( irel @ esk2_0 @ esk3_0 )
| ( p @ esk8_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_130]),c_0_108]) ).
thf(c_0_149,negated_conjecture,
! [X3: $i,X2: $i,X1: $i] :
( ( p @ X2 )
| ( r @ X3 )
| ( irel @ esk2_0 @ esk5_0 )
| ( irel @ esk2_0 @ esk4_0 )
| ~ ( irel @ X1 @ X2 )
| ~ ( irel @ X1 @ X3 )
| ~ ( irel @ esk1_0 @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
thf(c_0_150,negated_conjecture,
( ( irel @ esk2_0 @ esk5_0 )
| ( irel @ esk2_0 @ esk4_0 )
| ~ ( q @ esk9_0 )
| ~ ( r @ esk9_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
thf(c_0_151,negated_conjecture,
( ( irel @ esk2_0 @ esk5_0 )
| ( irel @ esk2_0 @ esk4_0 )
| ( q @ esk9_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_141]),c_0_142]) ).
thf(c_0_152,negated_conjecture,
! [X1: $i] :
( ( irel @ esk2_0 @ esk4_0 )
| ( irel @ esk2_0 @ esk6_0 )
| ( q @ esk9_0 )
| ( p @ X1 )
| ~ ( irel @ esk1_0 @ X1 ) ),
inference(spm,[status(thm)],[c_0_143,c_0_144]) ).
thf(c_0_153,negated_conjecture,
( ( irel @ esk1_0 @ esk8_0 )
| ( irel @ esk2_0 @ esk4_0 )
| ( irel @ esk2_0 @ esk6_0 ) ),
inference(spm,[status(thm)],[c_0_145,c_0_137]) ).
thf(c_0_154,negated_conjecture,
( ( irel @ esk2_0 @ esk6_0 )
| ( irel @ esk2_0 @ esk4_0 )
| ~ ( p @ esk8_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
thf(c_0_155,negated_conjecture,
( ( irel @ esk1_0 @ esk5_0 )
| ( irel @ esk2_0 @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_146,c_0_71]) ).
thf(c_0_156,negated_conjecture,
( ( irel @ esk2_0 @ esk3_0 )
| ~ ( p @ esk5_0 ) ),
inference(spm,[status(thm)],[c_0_147,c_0_148]) ).
thf(c_0_157,negated_conjecture,
! [X1: $i,X2: $i] :
( ( irel @ esk2_0 @ esk5_0 )
| ( irel @ esk2_0 @ esk4_0 )
| ( r @ X1 )
| ( p @ X2 )
| ~ ( irel @ esk1_0 @ X1 )
| ~ ( irel @ esk1_0 @ X2 ) ),
inference(spm,[status(thm)],[c_0_149,c_0_38]) ).
thf(c_0_158,negated_conjecture,
( ( irel @ esk2_0 @ esk5_0 )
| ( irel @ esk2_0 @ esk4_0 )
| ~ ( r @ esk9_0 ) ),
inference(spm,[status(thm)],[c_0_150,c_0_151]) ).
thf(c_0_159,negated_conjecture,
! [X3: $i,X2: $i,X1: $i] :
( ( p @ X2 )
| ( r @ X3 )
| ( irel @ esk2_0 @ esk6_0 )
| ( irel @ esk2_0 @ esk4_0 )
| ~ ( irel @ X1 @ X2 )
| ~ ( irel @ X1 @ X3 )
| ~ ( irel @ esk1_0 @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
thf(c_0_160,negated_conjecture,
( ( irel @ esk2_0 @ esk6_0 )
| ( irel @ esk2_0 @ esk4_0 )
| ~ ( q @ esk9_0 )
| ~ ( r @ esk9_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
thf(c_0_161,negated_conjecture,
( ( irel @ esk2_0 @ esk6_0 )
| ( irel @ esk2_0 @ esk4_0 )
| ( q @ esk9_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_153]),c_0_154]) ).
thf(c_0_162,negated_conjecture,
! [X1: $i] :
( ( irel @ esk2_0 @ esk3_0 )
| ( r @ X1 )
| ~ ( irel @ esk1_0 @ X1 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_155]),c_0_156]) ).
thf(c_0_163,negated_conjecture,
! [X1: $i] :
( ( irel @ esk2_0 @ esk4_0 )
| ( irel @ esk2_0 @ esk5_0 )
| ( p @ X1 )
| ~ ( irel @ esk1_0 @ X1 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_133]),c_0_158]) ).
thf(c_0_164,negated_conjecture,
! [X1: $i,X2: $i] :
( ( irel @ esk2_0 @ esk6_0 )
| ( irel @ esk2_0 @ esk4_0 )
| ( r @ X1 )
| ( p @ X2 )
| ~ ( irel @ esk1_0 @ X1 )
| ~ ( irel @ esk1_0 @ X2 ) ),
inference(spm,[status(thm)],[c_0_159,c_0_38]) ).
thf(c_0_165,negated_conjecture,
( ( irel @ esk2_0 @ esk6_0 )
| ( irel @ esk2_0 @ esk4_0 )
| ~ ( r @ esk9_0 ) ),
inference(spm,[status(thm)],[c_0_160,c_0_161]) ).
thf(c_0_166,negated_conjecture,
irel @ esk2_0 @ esk3_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_162]),c_0_148]),c_0_131]) ).
thf(c_0_167,negated_conjecture,
( ( irel @ esk2_0 @ esk5_0 )
| ( irel @ esk2_0 @ esk4_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_163]),c_0_141]) ).
thf(c_0_168,negated_conjecture,
! [X1: $i] :
( ( irel @ esk2_0 @ esk4_0 )
| ( irel @ esk2_0 @ esk6_0 )
| ( p @ X1 )
| ~ ( irel @ esk1_0 @ X1 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_144]),c_0_165]) ).
thf(c_0_169,negated_conjecture,
! [X1: $i] :
( ( irel @ X1 @ esk3_0 )
| ~ ( irel @ X1 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_35,c_0_166]) ).
thf(c_0_170,negated_conjecture,
! [X1: $i] :
( ( irel @ esk2_0 @ esk5_0 )
| ( irel @ X1 @ esk4_0 )
| ~ ( irel @ X1 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_35,c_0_167]) ).
thf(c_0_171,negated_conjecture,
( ( irel @ esk2_0 @ esk6_0 )
| ( irel @ esk2_0 @ esk4_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_168]),c_0_153]) ).
thf(c_0_172,negated_conjecture,
( ( irel @ esk7_0 @ esk8_0 )
| ( irel @ esk2_0 @ esk5_0 )
| ~ ( q @ esk4_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
thf(c_0_173,negated_conjecture,
! [X1: $i] :
( ( p @ esk3_0 )
| ( q @ X1 )
| ~ ( irel @ esk1_0 @ X1 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_169]),c_0_71])]) ).
thf(c_0_174,negated_conjecture,
( ( irel @ esk1_0 @ esk4_0 )
| ( irel @ esk2_0 @ esk5_0 ) ),
inference(spm,[status(thm)],[c_0_170,c_0_71]) ).
thf(c_0_175,negated_conjecture,
( ( irel @ esk7_0 @ esk8_0 )
| ( irel @ esk2_0 @ esk5_0 )
| ~ ( p @ esk3_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
thf(c_0_176,negated_conjecture,
! [X1: $i] :
( ( irel @ esk2_0 @ esk6_0 )
| ( irel @ X1 @ esk4_0 )
| ~ ( irel @ X1 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_35,c_0_171]) ).
thf(c_0_177,negated_conjecture,
( ( irel @ esk7_0 @ esk8_0 )
| ( irel @ esk2_0 @ esk5_0 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_173]),c_0_174]),c_0_175]) ).
thf(c_0_178,negated_conjecture,
( ( irel @ esk1_0 @ esk7_0 )
| ( irel @ esk2_0 @ esk5_0 )
| ~ ( q @ esk4_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
thf(c_0_179,negated_conjecture,
( ( irel @ esk1_0 @ esk7_0 )
| ( irel @ esk2_0 @ esk5_0 )
| ~ ( p @ esk3_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
thf(c_0_180,negated_conjecture,
( ( irel @ esk7_0 @ esk9_0 )
| ( irel @ esk2_0 @ esk5_0 )
| ~ ( q @ esk4_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
thf(c_0_181,negated_conjecture,
( ( irel @ esk7_0 @ esk9_0 )
| ( irel @ esk2_0 @ esk5_0 )
| ~ ( p @ esk3_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
thf(c_0_182,negated_conjecture,
( ( irel @ esk7_0 @ esk8_0 )
| ( irel @ esk2_0 @ esk6_0 )
| ~ ( q @ esk4_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
thf(c_0_183,negated_conjecture,
( ( irel @ esk1_0 @ esk4_0 )
| ( irel @ esk2_0 @ esk6_0 ) ),
inference(spm,[status(thm)],[c_0_176,c_0_71]) ).
thf(c_0_184,negated_conjecture,
( ( irel @ esk7_0 @ esk8_0 )
| ( irel @ esk2_0 @ esk6_0 )
| ~ ( p @ esk3_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
thf(c_0_185,negated_conjecture,
! [X1: $i] :
( ( irel @ esk2_0 @ esk5_0 )
| ( irel @ X1 @ esk8_0 )
| ~ ( irel @ X1 @ esk7_0 ) ),
inference(spm,[status(thm)],[c_0_35,c_0_177]) ).
thf(c_0_186,negated_conjecture,
( ( irel @ esk2_0 @ esk5_0 )
| ( irel @ esk1_0 @ esk7_0 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_173]),c_0_174]),c_0_179]) ).
thf(c_0_187,negated_conjecture,
( ( irel @ esk2_0 @ esk5_0 )
| ~ ( p @ esk8_0 )
| ~ ( q @ esk4_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
thf(c_0_188,negated_conjecture,
( ( irel @ esk2_0 @ esk5_0 )
| ~ ( p @ esk8_0 )
| ~ ( p @ esk3_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
thf(c_0_189,negated_conjecture,
( ( irel @ esk7_0 @ esk9_0 )
| ( irel @ esk2_0 @ esk5_0 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_173]),c_0_174]),c_0_181]) ).
thf(c_0_190,negated_conjecture,
( ( irel @ esk7_0 @ esk8_0 )
| ( irel @ esk2_0 @ esk6_0 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_173]),c_0_183]),c_0_184]) ).
thf(c_0_191,negated_conjecture,
( ( irel @ esk1_0 @ esk7_0 )
| ( irel @ esk2_0 @ esk6_0 )
| ~ ( q @ esk4_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
thf(c_0_192,negated_conjecture,
( ( irel @ esk1_0 @ esk7_0 )
| ( irel @ esk2_0 @ esk6_0 )
| ~ ( p @ esk3_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
thf(c_0_193,negated_conjecture,
( ( irel @ esk7_0 @ esk9_0 )
| ( irel @ esk2_0 @ esk6_0 )
| ~ ( q @ esk4_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
thf(c_0_194,negated_conjecture,
( ( irel @ esk7_0 @ esk9_0 )
| ( irel @ esk2_0 @ esk6_0 )
| ~ ( p @ esk3_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
thf(c_0_195,negated_conjecture,
! [X1: $i,X3: $i,X2: $i] :
( ( irel @ esk7_0 @ esk8_0 )
| ( q @ X1 )
| ( p @ X3 )
| ~ ( irel @ X2 @ X1 )
| ~ ( irel @ X2 @ X3 )
| ~ ( irel @ esk1_0 @ X2 ) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
thf(c_0_196,negated_conjecture,
( ( irel @ esk2_0 @ esk5_0 )
| ~ ( q @ esk9_0 )
| ~ ( r @ esk9_0 )
| ~ ( q @ esk4_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
thf(c_0_197,negated_conjecture,
( ( irel @ esk2_0 @ esk5_0 )
| ~ ( q @ esk9_0 )
| ~ ( r @ esk9_0 )
| ~ ( p @ esk3_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
thf(c_0_198,negated_conjecture,
( ( irel @ esk1_0 @ esk8_0 )
| ( irel @ esk2_0 @ esk5_0 ) ),
inference(spm,[status(thm)],[c_0_185,c_0_186]) ).
thf(c_0_199,negated_conjecture,
( ( irel @ esk2_0 @ esk5_0 )
| ~ ( p @ esk8_0 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_173]),c_0_174]),c_0_188]) ).
thf(c_0_200,negated_conjecture,
! [X1: $i] :
( ( irel @ esk2_0 @ esk5_0 )
| ( irel @ X1 @ esk9_0 )
| ~ ( irel @ X1 @ esk7_0 ) ),
inference(spm,[status(thm)],[c_0_35,c_0_189]) ).
thf(c_0_201,negated_conjecture,
! [X1: $i] :
( ( irel @ esk2_0 @ esk6_0 )
| ( irel @ X1 @ esk8_0 )
| ~ ( irel @ X1 @ esk7_0 ) ),
inference(spm,[status(thm)],[c_0_35,c_0_190]) ).
thf(c_0_202,negated_conjecture,
( ( irel @ esk2_0 @ esk6_0 )
| ( irel @ esk1_0 @ esk7_0 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_173]),c_0_183]),c_0_192]) ).
thf(c_0_203,negated_conjecture,
( ( irel @ esk2_0 @ esk6_0 )
| ~ ( p @ esk8_0 )
| ~ ( q @ esk4_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
thf(c_0_204,negated_conjecture,
( ( irel @ esk2_0 @ esk6_0 )
| ~ ( p @ esk8_0 )
| ~ ( p @ esk3_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
thf(c_0_205,negated_conjecture,
( ( irel @ esk7_0 @ esk9_0 )
| ( irel @ esk2_0 @ esk6_0 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_173]),c_0_183]),c_0_194]) ).
thf(c_0_206,negated_conjecture,
! [X2: $i,X1: $i] :
( ( irel @ esk7_0 @ esk8_0 )
| ( q @ X1 )
| ( p @ X2 )
| ~ ( irel @ esk2_0 @ X2 )
| ~ ( irel @ esk2_0 @ X1 ) ),
inference(spm,[status(thm)],[c_0_195,c_0_71]) ).
thf(c_0_207,negated_conjecture,
! [X2: $i,X1: $i,X5: $i,X13: $i,X3: $i] :
( ( r @ X1 )
| ( r @ X2 )
| ( p @ X3 )
| ( p @ X5 )
| ~ ( irel @ esk1_0 @ X13 )
| ~ ( irel @ esk2_0 @ X5 )
| ~ ( irel @ esk2_0 @ X2 )
| ~ ( irel @ X13 @ X1 )
| ~ ( irel @ X13 @ X3 ) ),
inference(spm,[status(thm)],[c_0_112,c_0_71]) ).
thf(c_0_208,negated_conjecture,
( ( irel @ esk2_0 @ esk5_0 )
| ~ ( q @ esk9_0 )
| ~ ( r @ esk9_0 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_173]),c_0_174]),c_0_197]) ).
thf(c_0_209,negated_conjecture,
! [X1: $i] :
( ( irel @ esk2_0 @ esk5_0 )
| ( q @ X1 )
| ~ ( irel @ esk1_0 @ X1 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_198]),c_0_199]) ).
thf(c_0_210,negated_conjecture,
! [X1: $i] :
( ( irel @ esk2_0 @ esk5_0 )
| ( r @ X1 )
| ~ ( irel @ esk1_0 @ X1 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_198]),c_0_199]) ).
thf(c_0_211,negated_conjecture,
( ( irel @ esk1_0 @ esk9_0 )
| ( irel @ esk2_0 @ esk5_0 ) ),
inference(spm,[status(thm)],[c_0_200,c_0_186]) ).
thf(c_0_212,negated_conjecture,
( ( irel @ esk2_0 @ esk6_0 )
| ~ ( q @ esk9_0 )
| ~ ( r @ esk9_0 )
| ~ ( q @ esk4_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
thf(c_0_213,negated_conjecture,
( ( irel @ esk2_0 @ esk6_0 )
| ~ ( q @ esk9_0 )
| ~ ( r @ esk9_0 )
| ~ ( p @ esk3_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
thf(c_0_214,negated_conjecture,
( ( irel @ esk1_0 @ esk8_0 )
| ( irel @ esk2_0 @ esk6_0 ) ),
inference(spm,[status(thm)],[c_0_201,c_0_202]) ).
thf(c_0_215,negated_conjecture,
( ( irel @ esk2_0 @ esk6_0 )
| ~ ( p @ esk8_0 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_173]),c_0_183]),c_0_204]) ).
thf(c_0_216,negated_conjecture,
! [X1: $i] :
( ( irel @ esk2_0 @ esk6_0 )
| ( irel @ X1 @ esk9_0 )
| ~ ( irel @ X1 @ esk7_0 ) ),
inference(spm,[status(thm)],[c_0_35,c_0_205]) ).
thf(c_0_217,negated_conjecture,
! [X2: $i,X1: $i,X5: $i,X13: $i,X3: $i] :
( ( q @ X1 )
| ( q @ X2 )
| ( p @ X3 )
| ( p @ X5 )
| ~ ( irel @ esk1_0 @ X13 )
| ~ ( irel @ esk2_0 @ X5 )
| ~ ( irel @ esk2_0 @ X2 )
| ~ ( irel @ X13 @ X1 )
| ~ ( irel @ X13 @ X3 ) ),
inference(spm,[status(thm)],[c_0_106,c_0_71]) ).
thf(c_0_218,negated_conjecture,
( ( irel @ esk7_0 @ esk8_0 )
| ~ ( r @ esk6_0 )
| ~ ( q @ esk4_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
thf(c_0_219,negated_conjecture,
! [X1: $i] :
( ( irel @ esk7_0 @ esk8_0 )
| ( p @ esk3_0 )
| ( q @ X1 )
| ~ ( irel @ esk2_0 @ X1 ) ),
inference(spm,[status(thm)],[c_0_206,c_0_166]) ).
thf(c_0_220,negated_conjecture,
( ( irel @ esk7_0 @ esk8_0 )
| ( irel @ esk2_0 @ esk4_0 )
| ~ ( r @ esk6_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
thf(c_0_221,negated_conjecture,
( ( irel @ esk7_0 @ esk8_0 )
| ~ ( r @ esk6_0 )
| ~ ( p @ esk3_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
thf(c_0_222,negated_conjecture,
! [X1: $i,X2: $i] :
( ( p @ X1 )
| ( r @ X2 )
| ~ ( irel @ esk2_0 @ X1 )
| ~ ( irel @ esk2_0 @ X2 ) ),
inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_207,c_0_71])]) ).
thf(c_0_223,negated_conjecture,
irel @ esk2_0 @ esk5_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_209]),c_0_210]),c_0_211]) ).
thf(c_0_224,negated_conjecture,
( ( irel @ esk2_0 @ esk6_0 )
| ~ ( q @ esk9_0 )
| ~ ( r @ esk9_0 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_212,c_0_173]),c_0_183]),c_0_213]) ).
thf(c_0_225,negated_conjecture,
! [X1: $i] :
( ( irel @ esk2_0 @ esk6_0 )
| ( q @ X1 )
| ~ ( irel @ esk1_0 @ X1 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_214]),c_0_215]) ).
thf(c_0_226,negated_conjecture,
! [X1: $i] :
( ( irel @ esk2_0 @ esk6_0 )
| ( r @ X1 )
| ~ ( irel @ esk1_0 @ X1 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_214]),c_0_215]) ).
thf(c_0_227,negated_conjecture,
( ( irel @ esk1_0 @ esk9_0 )
| ( irel @ esk2_0 @ esk6_0 ) ),
inference(spm,[status(thm)],[c_0_216,c_0_202]) ).
thf(c_0_228,negated_conjecture,
( ( irel @ esk7_0 @ esk8_0 )
| ~ ( p @ esk5_0 )
| ~ ( q @ esk4_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
thf(c_0_229,negated_conjecture,
( ( irel @ esk7_0 @ esk8_0 )
| ( irel @ esk2_0 @ esk4_0 )
| ~ ( p @ esk5_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
thf(c_0_230,negated_conjecture,
( ( irel @ esk7_0 @ esk8_0 )
| ~ ( p @ esk5_0 )
| ~ ( p @ esk3_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
thf(c_0_231,negated_conjecture,
! [X1: $i,X2: $i] :
( ( p @ X1 )
| ( q @ X2 )
| ~ ( irel @ esk2_0 @ X1 )
| ~ ( irel @ esk2_0 @ X2 ) ),
inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_71])]) ).
thf(c_0_232,negated_conjecture,
( ( irel @ esk7_0 @ esk8_0 )
| ~ ( r @ esk6_0 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_219]),c_0_220]),c_0_221]) ).
thf(c_0_233,negated_conjecture,
! [X1: $i] :
( ( p @ esk5_0 )
| ( r @ X1 )
| ~ ( irel @ esk2_0 @ X1 ) ),
inference(spm,[status(thm)],[c_0_222,c_0_223]) ).
thf(c_0_234,negated_conjecture,
irel @ esk2_0 @ esk6_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_225]),c_0_226]),c_0_227]) ).
thf(c_0_235,negated_conjecture,
( ( irel @ esk7_0 @ esk8_0 )
| ~ ( p @ esk5_0 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_219]),c_0_229]),c_0_230]) ).
thf(c_0_236,negated_conjecture,
( ( irel @ esk1_0 @ esk7_0 )
| ~ ( r @ esk6_0 )
| ~ ( q @ esk4_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
thf(c_0_237,negated_conjecture,
! [X1: $i] :
( ( p @ esk3_0 )
| ( q @ X1 )
| ~ ( irel @ esk2_0 @ X1 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_231,c_0_169]),c_0_38])]) ).
thf(c_0_238,negated_conjecture,
( ( irel @ esk1_0 @ esk7_0 )
| ( irel @ esk2_0 @ esk4_0 )
| ~ ( r @ esk6_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
thf(c_0_239,negated_conjecture,
( ( irel @ esk1_0 @ esk7_0 )
| ~ ( r @ esk6_0 )
| ~ ( p @ esk3_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
thf(c_0_240,negated_conjecture,
( ( irel @ esk1_0 @ esk7_0 )
| ~ ( p @ esk5_0 )
| ~ ( q @ esk4_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
thf(c_0_241,negated_conjecture,
( ( irel @ esk1_0 @ esk7_0 )
| ( irel @ esk2_0 @ esk4_0 )
| ~ ( p @ esk5_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
thf(c_0_242,negated_conjecture,
( ( irel @ esk1_0 @ esk7_0 )
| ~ ( p @ esk5_0 )
| ~ ( p @ esk3_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
thf(c_0_243,negated_conjecture,
( ~ ( p @ esk8_0 )
| ~ ( r @ esk6_0 )
| ~ ( q @ esk4_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
thf(c_0_244,negated_conjecture,
( ( irel @ esk2_0 @ esk4_0 )
| ~ ( p @ esk8_0 )
| ~ ( r @ esk6_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
thf(c_0_245,negated_conjecture,
( ~ ( p @ esk8_0 )
| ~ ( r @ esk6_0 )
| ~ ( p @ esk3_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
thf(c_0_246,negated_conjecture,
( ~ ( p @ esk8_0 )
| ~ ( p @ esk5_0 )
| ~ ( q @ esk4_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
thf(c_0_247,negated_conjecture,
( ( irel @ esk2_0 @ esk4_0 )
| ~ ( p @ esk8_0 )
| ~ ( p @ esk5_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
thf(c_0_248,negated_conjecture,
( ~ ( p @ esk8_0 )
| ~ ( p @ esk5_0 )
| ~ ( p @ esk3_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
thf(c_0_249,negated_conjecture,
irel @ esk7_0 @ esk8_0,
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_233]),c_0_234])]),c_0_235]) ).
thf(c_0_250,negated_conjecture,
( ( irel @ esk1_0 @ esk7_0 )
| ~ ( r @ esk6_0 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_236,c_0_237]),c_0_238]),c_0_239]) ).
thf(c_0_251,negated_conjecture,
( ( irel @ esk1_0 @ esk7_0 )
| ~ ( p @ esk5_0 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_240,c_0_237]),c_0_241]),c_0_242]) ).
thf(c_0_252,negated_conjecture,
( ~ ( p @ esk8_0 )
| ~ ( r @ esk6_0 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_243,c_0_237]),c_0_244]),c_0_245]) ).
thf(c_0_253,negated_conjecture,
( ~ ( p @ esk5_0 )
| ~ ( p @ esk8_0 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_237]),c_0_247]),c_0_248]) ).
thf(c_0_254,negated_conjecture,
( ~ ( q @ esk9_0 )
| ~ ( r @ esk9_0 )
| ~ ( r @ esk6_0 )
| ~ ( q @ esk4_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
thf(c_0_255,negated_conjecture,
( ( irel @ esk2_0 @ esk4_0 )
| ~ ( q @ esk9_0 )
| ~ ( r @ esk9_0 )
| ~ ( r @ esk6_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
thf(c_0_256,negated_conjecture,
( ~ ( q @ esk9_0 )
| ~ ( r @ esk9_0 )
| ~ ( r @ esk6_0 )
| ~ ( p @ esk3_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
thf(c_0_257,negated_conjecture,
! [X1: $i] :
( ( irel @ X1 @ esk8_0 )
| ~ ( irel @ X1 @ esk7_0 ) ),
inference(spm,[status(thm)],[c_0_35,c_0_249]) ).
thf(c_0_258,negated_conjecture,
irel @ esk1_0 @ esk7_0,
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_233]),c_0_234])]),c_0_251]) ).
thf(c_0_259,negated_conjecture,
~ ( p @ esk8_0 ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_252,c_0_233]),c_0_234])]),c_0_253]) ).
thf(c_0_260,negated_conjecture,
( ( irel @ esk7_0 @ esk9_0 )
| ~ ( r @ esk6_0 )
| ~ ( q @ esk4_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
thf(c_0_261,negated_conjecture,
( ( irel @ esk7_0 @ esk9_0 )
| ( irel @ esk2_0 @ esk4_0 )
| ~ ( r @ esk6_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
thf(c_0_262,negated_conjecture,
( ( irel @ esk7_0 @ esk9_0 )
| ~ ( r @ esk6_0 )
| ~ ( p @ esk3_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
thf(c_0_263,negated_conjecture,
( ~ ( q @ esk9_0 )
| ~ ( r @ esk6_0 )
| ~ ( r @ esk9_0 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_254,c_0_237]),c_0_255]),c_0_256]) ).
thf(c_0_264,negated_conjecture,
! [X1: $i] :
( ( q @ X1 )
| ~ ( irel @ esk1_0 @ X1 ) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_257]),c_0_258])]),c_0_259]) ).
thf(c_0_265,negated_conjecture,
! [X1: $i] :
( ( r @ X1 )
| ~ ( irel @ esk1_0 @ X1 ) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_257]),c_0_258])]),c_0_259]) ).
thf(c_0_266,negated_conjecture,
( ( irel @ esk7_0 @ esk9_0 )
| ~ ( r @ esk6_0 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_237]),c_0_261]),c_0_262]) ).
thf(c_0_267,negated_conjecture,
! [X1: $i] :
( ( p @ esk3_0 )
| ( r @ X1 )
| ~ ( irel @ esk2_0 @ X1 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_169]),c_0_38])]) ).
thf(c_0_268,negated_conjecture,
( ~ ( irel @ esk1_0 @ esk9_0 )
| ~ ( r @ esk6_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_263,c_0_264]),c_0_265]) ).
thf(c_0_269,negated_conjecture,
( ( irel @ esk7_0 @ esk9_0 )
| ~ ( p @ esk5_0 )
| ~ ( p @ esk3_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
thf(c_0_270,negated_conjecture,
( ( irel @ esk7_0 @ esk9_0 )
| ( p @ esk5_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_266,c_0_233]),c_0_234])]) ).
thf(c_0_271,negated_conjecture,
( ( irel @ esk7_0 @ esk9_0 )
| ( p @ esk3_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_266,c_0_267]),c_0_205]) ).
thf(c_0_272,negated_conjecture,
( ~ ( irel @ esk1_0 @ esk9_0 )
| ~ ( irel @ esk1_0 @ esk6_0 ) ),
inference(spm,[status(thm)],[c_0_268,c_0_265]) ).
thf(c_0_273,negated_conjecture,
! [X1: $i] :
( ( irel @ X1 @ esk6_0 )
| ~ ( irel @ X1 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_35,c_0_234]) ).
thf(c_0_274,negated_conjecture,
irel @ esk7_0 @ esk9_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_269,c_0_270]),c_0_271]) ).
thf(c_0_275,negated_conjecture,
~ ( irel @ esk1_0 @ esk9_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_272,c_0_273]),c_0_71])]) ).
thf(c_0_276,negated_conjecture,
! [X1: $i] :
( ( irel @ X1 @ esk9_0 )
| ~ ( irel @ X1 @ esk7_0 ) ),
inference(spm,[status(thm)],[c_0_35,c_0_274]) ).
thf(c_0_277,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_275,c_0_276]),c_0_258])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN045^4 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.17 % Computer : n002.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 16:17:07 UTC 2026
% 0.09/0.17 % CPUTime :
% 0.09/0.17 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.21 Running higher-order theorem proving
% 0.09/0.22 Running: /export/starexec/sandbox/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.TBmlcmg1qT/E---3.1_1483774.p
% 1.98/0.62 % Version: 3.5.1-ho
% 1.98/0.62 % Preprocessing class: HSMSSMSSMLSNHSN.
% 1.98/0.62 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.98/0.62 % Starting new_ho_10_cnf2 with 1500s (5) cores
% 1.98/0.62 % Starting post_as_ho3 with 300s (1) cores
% 1.98/0.62 % Starting post_as_ho11 with 300s (1) cores
% 1.98/0.62 % Starting full_lambda_8 with 300s (1) cores
% 1.98/0.62 % new_ho_10_cnf2 with pid 1483809 completed with status 0
% 1.98/0.62 % Result found by new_ho_10_cnf2
% 1.98/0.62 % Preprocessing class: HSMSSMSSMLSNHSN.
% 1.98/0.62 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.98/0.62 % Starting new_ho_10_cnf2 with 1500s (5) cores
% 1.98/0.62 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.98/0.62 % No SInE strategy applied
% 1.98/0.62 % Search class: HGHNF-FSLM00-SHSSMFNN
% 1.98/0.62 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 1.98/0.62 % Starting SubtermCWHack with 136s (1) cores
% 1.98/0.62 % Starting new_ho_10_cnf2 with 151s (1) cores
% 1.98/0.62 % Starting sh5l with 136s (1) cores
% 1.98/0.62 % Starting new_bool_1 with 136s (1) cores
% 1.98/0.62 % Starting new_bool_2 with 136s (1) cores
% 1.98/0.62 % sh5l with pid 1483819 completed with status 0
% 1.98/0.62 % Result found by sh5l
% 1.98/0.62 % Preprocessing class: HSMSSMSSMLSNHSN.
% 1.98/0.62 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.98/0.62 % Starting new_ho_10_cnf2 with 1500s (5) cores
% 1.98/0.62 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.98/0.62 % No SInE strategy applied
% 1.98/0.62 % Search class: HGHNF-FSLM00-SHSSMFNN
% 1.98/0.62 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 1.98/0.62 % Starting SubtermCWHack with 136s (1) cores
% 1.98/0.62 % Starting new_ho_10_cnf2 with 151s (1) cores
% 1.98/0.62 % Starting sh5l with 136s (1) cores
% 1.98/0.62 % Preprocessing time : 0.004 s
% 1.98/0.62 % Presaturation interreduction done
% 1.98/0.62
% 1.98/0.62 % Proof found!
% 1.98/0.62 % SZS status Theorem
% 1.98/0.62 % SZS output start CNFRefutation
% See solution above
% 1.98/0.62 % Parsed axioms : 45
% 1.98/0.62 % Removed by relevancy pruning/SinE : 0
% 1.98/0.62 % Initial clauses : 158
% 1.98/0.62 % Removed in clause preprocessing : 23
% 1.98/0.62 % Initial clauses in saturation : 135
% 1.98/0.62 % Processed clauses : 2537
% 1.98/0.62 % ...of these trivial : 0
% 1.98/0.62 % ...subsumed : 1297
% 1.98/0.62 % ...remaining for further processing : 1240
% 1.98/0.62 % Other redundant clauses eliminated : 0
% 1.98/0.62 % Clauses deleted for lack of memory : 0
% 1.98/0.62 % Backward-subsumed : 808
% 1.98/0.62 % Backward-rewritten : 226
% 1.98/0.62 % Generated clauses : 6554
% 1.98/0.62 % ...of the previous two non-redundant : 6442
% 1.98/0.62 % ...aggressively subsumed : 0
% 1.98/0.62 % Contextual simplify-reflections : 294
% 1.98/0.62 % Paramodulations : 6554
% 1.98/0.62 % Factorizations : 0
% 1.98/0.62 % NegExts : 0
% 1.98/0.62 % Equation resolutions : 0
% 1.98/0.62 % Disequality decompositions : 0
% 1.98/0.62 % Total rewrite steps : 564
% 1.98/0.62 % ...of those cached : 555
% 1.98/0.62 % Propositional unsat checks : 0
% 1.98/0.62 % Propositional check models : 0
% 1.98/0.62 % Propositional check unsatisfiable : 0
% 1.98/0.62 % Propositional clauses : 0
% 1.98/0.62 % Propositional clauses after purity: 0
% 1.98/0.62 % Propositional unsat core size : 0
% 1.98/0.62 % Propositional preprocessing time : 0.000
% 1.98/0.62 % Propositional encoding time : 0.000
% 1.98/0.62 % Propositional solver time : 0.000
% 1.98/0.62 % Success case prop preproc time : 0.000
% 1.98/0.62 % Success case prop encoding time : 0.000
% 1.98/0.62 % Success case prop solver time : 0.000
% 1.98/0.62 % Current number of processed clauses : 72
% 1.98/0.62 % Positive orientable unit clauses : 8
% 1.98/0.62 % Positive unorientable unit clauses: 0
% 1.98/0.62 % Negative unit clauses : 2
% 1.98/0.62 % Non-unit-clauses : 62
% 1.98/0.62 % Current number of unprocessed clauses: 983
% 1.98/0.62 % ...number of literals in the above : 7236
% 1.98/0.62 % Current number of archived formulas : 0
% 1.98/0.62 % Current number of archived clauses : 1168
% 1.98/0.62 % Clause-clause subsumption calls (NU) : 79939
% 1.98/0.62 % Rec. Clause-clause subsumption calls : 11235
% 1.98/0.62 % Non-unit clause-clause subsumptions : 2388
% 1.98/0.62 % Unit Clause-clause subsumption calls : 253
% 1.98/0.62 % Rewrite failures with RHS unbound : 0
% 1.98/0.62 % BW rewrite match attempts : 8
% 1.98/0.62 % BW rewrite match successes : 7
% 1.98/0.62 % Condensation attempts : 2537
% 1.98/0.62 % Condensation successes : 4
% 1.98/0.62 % Termbank termtop insertions : 295513
% 1.98/0.62 % Search garbage collected termcells : 1205
% 1.98/0.62
% 1.98/0.62 % -------------------------------------------------
% 1.98/0.62 % User time : 0.339 s
% 1.98/0.62 % System time : 0.011 s
% 1.98/0.62 % Total time : 0.350 s
% 1.98/0.62 % Maximum resident set size: 3920 pages
% 1.98/0.62
% 1.98/0.62 % -------------------------------------------------
% 1.98/0.62 % User time : 1.558 s
% 1.98/0.62 % System time : 0.040 s
% 1.98/0.62 % Total time : 1.597 s
% 1.98/0.62 % Maximum resident set size: 4864 pages
% 1.98/0.62 % E exiting
%------------------------------------------------------------------------------