%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : LCL873^1 : TPTP v9.3.1. Bugfixed v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n013.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 08:13:59 AM UTC 2026
% Result : Theorem 0.21s 0.32s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 16
% Syntax : Number of formulae : 129 ( 37 unt; 0 typ; 0 def)
% Number of atoms : 503 ( 19 equ; 0 cnn)
% Maximal formula atoms : 90 ( 3 avg)
% Number of connectives : 1299 ( 213 ~; 266 |; 35 &; 777 @)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 43 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 52 ( 52 >; 0 *; 0 +; 0 <<)
% Number of symbols : 23 ( 21 usr; 7 con; 0-3 aty)
% Number of variables : 211 ( 44 ^; 167 !; 0 ?; 211 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_25,type,
mnot: ( $i > $o ) > $i > $o ).
thf(decl_26,type,
mor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(decl_28,type,
mimplies: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(decl_33,type,
mforall_prop: ( ( $i > $o ) > $i > $o ) > $i > $o ).
thf(decl_38,type,
mbox: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
thf(decl_40,type,
mreflexive: ( $i > $i > $o ) > $o ).
thf(decl_43,type,
mtransitive: ( $i > $i > $o ) > $o ).
thf(decl_44,type,
meuclidean: ( $i > $i > $o ) > $o ).
thf(decl_50,type,
mvalid: ( $i > $o ) > $o ).
thf(decl_54,type,
ra: $i > $i > $o ).
thf(decl_55,type,
rb: $i > $i > $o ).
thf(decl_56,type,
esk1_0: $i ).
thf(decl_57,type,
epred1_0: $i > $o ).
thf(decl_58,type,
epred2_0: $i > $o ).
thf(decl_59,type,
esk2_0: $i ).
thf(decl_60,type,
esk3_0: $i ).
thf(decl_61,type,
esk4_0: $i ).
thf(decl_62,type,
epred3_0: $i > $o ).
thf(decl_63,type,
epred4_0: $i > $o ).
thf(decl_64,type,
esk5_0: $i ).
thf(decl_65,type,
esk6_0: $i ).
thf(mimplies,axiom,
( mimplies
= ( ^ [X6: $i > $o,X7: $i > $o] : ( mor @ ( mnot @ X6 ) @ X7 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.nZVda7qfrm/E---3.1_1911807.p',mimplies) ).
thf(mnot,axiom,
( mnot
= ( ^ [X6: $i > $o,X3: $i] :
~ ( X6 @ X3 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.nZVda7qfrm/E---3.1_1911807.p',mnot) ).
thf(mor,axiom,
( mor
= ( ^ [X6: $i > $o,X7: $i > $o,X3: $i] :
( ( X6 @ X3 )
| ( X7 @ X3 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.nZVda7qfrm/E---3.1_1911807.p',mor) ).
thf(meuclidean,axiom,
( meuclidean
= ( ^ [X13: $i > $i > $o] :
! [X15: $i,X16: $i,X17: $i] :
( ( ( X13 @ X15 @ X16 )
& ( X13 @ X15 @ X17 ) )
=> ( X13 @ X16 @ X17 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.nZVda7qfrm/E---3.1_1911807.p',meuclidean) ).
thf(conj,conjecture,
( ( mvalid
@ ( mforall_prop
@ ^ [X18: $i > $o] :
( mforall_prop
@ ^ [X19: $i > $o] : ( mimplies @ ( mbox @ ra @ ( mor @ ( mbox @ ra @ X18 ) @ ( mbox @ rb @ X19 ) ) ) @ ( mor @ ( mbox @ ra @ X18 ) @ ( mbox @ ra @ X19 ) ) ) ) ) )
& ( mvalid
@ ( mforall_prop
@ ^ [X18: $i > $o] :
( mforall_prop
@ ^ [X19: $i > $o] : ( mimplies @ ( mbox @ rb @ ( mor @ ( mbox @ ra @ X18 ) @ ( mbox @ rb @ X19 ) ) ) @ ( mor @ ( mbox @ rb @ X18 ) @ ( mbox @ rb @ X19 ) ) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.nZVda7qfrm/E---3.1_1911807.p',conj) ).
thf(mbox,axiom,
( mbox
= ( ^ [X13: $i > $i > $o,X6: $i > $o,X3: $i] :
! [X14: $i] :
( ~ ( X13 @ X3 @ X14 )
| ( X6 @ X14 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.nZVda7qfrm/E---3.1_1911807.p',mbox) ).
thf(mforall_prop,axiom,
( mforall_prop
= ( ^ [X9: ( $i > $o ) > $i > $o,X3: $i] :
! [X10: $i > $o] : ( X9 @ X10 @ X3 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.nZVda7qfrm/E---3.1_1911807.p',mforall_prop) ).
thf(mvalid,axiom,
( mvalid
= ( ^ [X6: $i > $o] :
! [X3: $i] : ( X6 @ X3 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.nZVda7qfrm/E---3.1_1911807.p',mvalid) ).
thf(mreflexive,axiom,
( mreflexive
= ( ^ [X13: $i > $i > $o] :
! [X15: $i] : ( X13 @ X15 @ X15 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.nZVda7qfrm/E---3.1_1911807.p',mreflexive) ).
thf(ax5,axiom,
meuclidean @ ra,
file('/export/starexec/sandbox/tmp/tmp.nZVda7qfrm/E---3.1_1911807.p',ax5) ).
thf(ax1,axiom,
mreflexive @ ra,
file('/export/starexec/sandbox/tmp/tmp.nZVda7qfrm/E---3.1_1911807.p',ax1) ).
thf(mtransitive,axiom,
( mtransitive
= ( ^ [X13: $i > $i > $o] :
! [X15: $i,X16: $i,X17: $i] :
( ( ( X13 @ X15 @ X16 )
& ( X13 @ X16 @ X17 ) )
=> ( X13 @ X15 @ X17 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.nZVda7qfrm/E---3.1_1911807.p',mtransitive) ).
thf(ax6,axiom,
meuclidean @ rb,
file('/export/starexec/sandbox/tmp/tmp.nZVda7qfrm/E---3.1_1911807.p',ax6) ).
thf(ax4,axiom,
mtransitive @ rb,
file('/export/starexec/sandbox/tmp/tmp.nZVda7qfrm/E---3.1_1911807.p',ax4) ).
thf(ax2,axiom,
mreflexive @ rb,
file('/export/starexec/sandbox/tmp/tmp.nZVda7qfrm/E---3.1_1911807.p',ax2) ).
thf(ax3,axiom,
mtransitive @ ra,
file('/export/starexec/sandbox/tmp/tmp.nZVda7qfrm/E---3.1_1911807.p',ax3) ).
thf(c_0_16,plain,
( mimplies
= ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
( ~ ( Z0 @ Z2 )
| ( Z1 @ Z2 ) ) ) ),
inference(fof_simplification,[status(thm)],[mimplies]) ).
thf(c_0_17,plain,
( mnot
= ( ^ [Z0: $i > $o,Z1: $i] :
~ ( Z0 @ Z1 ) ) ),
inference(fof_simplification,[status(thm)],[mnot]) ).
thf(c_0_18,plain,
( mor
= ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
( ( Z0 @ Z2 )
| ( Z1 @ Z2 ) ) ) ),
inference(fof_simplification,[status(thm)],[mor]) ).
thf(c_0_19,plain,
( meuclidean
= ( ^ [Z0: $i > $i > $o] :
! [X15: $i,X16: $i,X17: $i] :
( ( ( Z0 @ X15 @ X16 )
& ( Z0 @ X15 @ X17 ) )
=> ( Z0 @ X16 @ X17 ) ) ) ),
inference(fof_simplification,[status(thm)],[meuclidean]) ).
thf(c_0_20,negated_conjecture,
~ ( ( mvalid
@ ( mforall_prop
@ ^ [X18: $i > $o] :
( mforall_prop
@ ^ [X19: $i > $o] : ( mimplies @ ( mbox @ ra @ ( mor @ ( mbox @ ra @ X18 ) @ ( mbox @ rb @ X19 ) ) ) @ ( mor @ ( mbox @ ra @ X18 ) @ ( mbox @ ra @ X19 ) ) ) ) ) )
& ( mvalid
@ ( mforall_prop
@ ^ [X18: $i > $o] :
( mforall_prop
@ ^ [X19: $i > $o] : ( mimplies @ ( mbox @ rb @ ( mor @ ( mbox @ ra @ X18 ) @ ( mbox @ rb @ X19 ) ) ) @ ( mor @ ( mbox @ rb @ X18 ) @ ( mbox @ rb @ X19 ) ) ) ) ) ) ),
inference(assume_negation,[status(cth)],[conj]) ).
thf(c_0_21,plain,
( mbox
= ( ^ [Z0: $i > $i > $o,Z1: $i > $o,Z2: $i] :
! [X14: $i] :
( ~ ( Z0 @ Z2 @ X14 )
| ( Z1 @ X14 ) ) ) ),
inference(fof_simplification,[status(thm)],[mbox]) ).
thf(c_0_22,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_16,c_0_17]),c_0_18]) ).
thf(c_0_23,plain,
( mforall_prop
= ( ^ [Z0: ( $i > $o ) > $i > $o,Z1: $i] :
! [X10: $i > $o] : ( Z0 @ X10 @ Z1 ) ) ),
inference(fof_simplification,[status(thm)],[mforall_prop]) ).
thf(c_0_24,plain,
( mvalid
= ( ^ [Z0: $i > $o] :
! [X3: $i] : ( Z0 @ X3 ) ) ),
inference(fof_simplification,[status(thm)],[mvalid]) ).
thf(c_0_25,plain,
( mreflexive
= ( ^ [Z0: $i > $i > $o] :
! [X15: $i] : ( Z0 @ X15 @ X15 ) ) ),
inference(fof_simplification,[status(thm)],[mreflexive]) ).
thf(c_0_26,plain,
! [X49: $i,X50: $i,X51: $i] :
( ( ( ra @ X49 @ X50 )
& ( ra @ X49 @ X51 ) )
=> ( ra @ X50 @ X51 ) ),
inference(apply_def,[status(thm)],[ax5,c_0_19]) ).
thf(c_0_27,negated_conjecture,
~ ( ! [X29: $i,X28: $i > $o,X27: $i > $o] :
( ~ ! [X24: $i] :
( ~ ( ra @ X29 @ X24 )
| ! [X22: $i] :
( ~ ( ra @ X24 @ X22 )
| ( X28 @ X22 ) )
| ! [X23: $i] :
( ~ ( rb @ X24 @ X23 )
| ( X27 @ X23 ) ) )
| ! [X25: $i] :
( ~ ( ra @ X29 @ X25 )
| ( X28 @ X25 ) )
| ! [X26: $i] :
( ~ ( ra @ X29 @ X26 )
| ( X27 @ X26 ) ) )
& ! [X37: $i,X36: $i > $o,X35: $i > $o] :
( ~ ! [X32: $i] :
( ~ ( rb @ X37 @ X32 )
| ! [X30: $i] :
( ~ ( ra @ X32 @ X30 )
| ( X36 @ X30 ) )
| ! [X31: $i] :
( ~ ( rb @ X32 @ X31 )
| ( X35 @ X31 ) ) )
| ! [X33: $i] :
( ~ ( rb @ X37 @ X33 )
| ( X36 @ X33 ) )
| ! [X34: $i] :
( ~ ( rb @ X37 @ X34 )
| ( X35 @ X34 ) ) ) ),
inference(fof_simplification,[status(thm)],[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)],[inference(fof_simplification,[status(thm)],[c_0_20]),c_0_21]),c_0_18]),c_0_22]),c_0_23]),c_0_24])]) ).
thf(c_0_28,plain,
! [X45: $i] : ( ra @ X45 @ X45 ),
inference(apply_def,[status(thm)],[ax1,c_0_25]) ).
thf(c_0_29,plain,
! [X79: $i,X80: $i,X81: $i] :
( ~ ( ra @ X79 @ X80 )
| ~ ( ra @ X79 @ X81 )
| ( ra @ X80 @ X81 ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])])]) ).
thf(c_0_30,negated_conjecture,
! [X55: $i,X56: $i,X57: $i,X63: $i,X64: $i,X65: $i] :
( ( ~ ( rb @ esk4_0 @ X63 )
| ~ ( ra @ X63 @ X64 )
| ( epred3_0 @ X64 )
| ~ ( rb @ X63 @ X65 )
| ( epred4_0 @ X65 )
| ~ ( ra @ esk1_0 @ X55 )
| ~ ( ra @ X55 @ X56 )
| ( epred1_0 @ X56 )
| ~ ( rb @ X55 @ X57 )
| ( epred2_0 @ X57 ) )
& ( ( rb @ esk4_0 @ esk5_0 )
| ~ ( ra @ esk1_0 @ X55 )
| ~ ( ra @ X55 @ X56 )
| ( epred1_0 @ X56 )
| ~ ( rb @ X55 @ X57 )
| ( epred2_0 @ X57 ) )
& ( ~ ( epred3_0 @ esk5_0 )
| ~ ( ra @ esk1_0 @ X55 )
| ~ ( ra @ X55 @ X56 )
| ( epred1_0 @ X56 )
| ~ ( rb @ X55 @ X57 )
| ( epred2_0 @ X57 ) )
& ( ( rb @ esk4_0 @ esk6_0 )
| ~ ( ra @ esk1_0 @ X55 )
| ~ ( ra @ X55 @ X56 )
| ( epred1_0 @ X56 )
| ~ ( rb @ X55 @ X57 )
| ( epred2_0 @ X57 ) )
& ( ~ ( epred4_0 @ esk6_0 )
| ~ ( ra @ esk1_0 @ X55 )
| ~ ( ra @ X55 @ X56 )
| ( epred1_0 @ X56 )
| ~ ( rb @ X55 @ X57 )
| ( epred2_0 @ X57 ) )
& ( ~ ( rb @ esk4_0 @ X63 )
| ~ ( ra @ X63 @ X64 )
| ( epred3_0 @ X64 )
| ~ ( rb @ X63 @ X65 )
| ( epred4_0 @ X65 )
| ( ra @ esk1_0 @ esk2_0 ) )
& ( ( rb @ esk4_0 @ esk5_0 )
| ( ra @ esk1_0 @ esk2_0 ) )
& ( ~ ( epred3_0 @ esk5_0 )
| ( ra @ esk1_0 @ esk2_0 ) )
& ( ( rb @ esk4_0 @ esk6_0 )
| ( ra @ esk1_0 @ esk2_0 ) )
& ( ~ ( epred4_0 @ esk6_0 )
| ( ra @ esk1_0 @ esk2_0 ) )
& ( ~ ( rb @ esk4_0 @ X63 )
| ~ ( ra @ X63 @ X64 )
| ( epred3_0 @ X64 )
| ~ ( rb @ X63 @ X65 )
| ( epred4_0 @ X65 )
| ~ ( epred1_0 @ esk2_0 ) )
& ( ( rb @ esk4_0 @ esk5_0 )
| ~ ( epred1_0 @ esk2_0 ) )
& ( ~ ( epred3_0 @ esk5_0 )
| ~ ( epred1_0 @ esk2_0 ) )
& ( ( rb @ esk4_0 @ esk6_0 )
| ~ ( epred1_0 @ esk2_0 ) )
& ( ~ ( epred4_0 @ esk6_0 )
| ~ ( epred1_0 @ esk2_0 ) )
& ( ~ ( rb @ esk4_0 @ X63 )
| ~ ( ra @ X63 @ X64 )
| ( epred3_0 @ X64 )
| ~ ( rb @ X63 @ X65 )
| ( epred4_0 @ X65 )
| ( ra @ esk1_0 @ esk3_0 ) )
& ( ( rb @ esk4_0 @ esk5_0 )
| ( ra @ esk1_0 @ esk3_0 ) )
& ( ~ ( epred3_0 @ esk5_0 )
| ( ra @ esk1_0 @ esk3_0 ) )
& ( ( rb @ esk4_0 @ esk6_0 )
| ( ra @ esk1_0 @ esk3_0 ) )
& ( ~ ( epred4_0 @ esk6_0 )
| ( ra @ esk1_0 @ esk3_0 ) )
& ( ~ ( rb @ esk4_0 @ X63 )
| ~ ( ra @ X63 @ X64 )
| ( epred3_0 @ X64 )
| ~ ( rb @ X63 @ X65 )
| ( epred4_0 @ X65 )
| ~ ( epred2_0 @ esk3_0 ) )
& ( ( rb @ esk4_0 @ esk5_0 )
| ~ ( epred2_0 @ esk3_0 ) )
& ( ~ ( epred3_0 @ esk5_0 )
| ~ ( epred2_0 @ esk3_0 ) )
& ( ( rb @ esk4_0 @ esk6_0 )
| ~ ( epred2_0 @ esk3_0 ) )
& ( ~ ( epred4_0 @ esk6_0 )
| ~ ( epred2_0 @ esk3_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_27])])])])])]) ).
thf(c_0_31,plain,
! [X75: $i] : ( ra @ X75 @ X75 ),
inference(variable_rename,[status(thm)],[c_0_28]) ).
thf(c_0_32,plain,
! [X3: $i,X14: $i,X15: $i] :
( ( ra @ X14 @ X15 )
| ~ ( ra @ X3 @ X14 )
| ~ ( ra @ X3 @ X15 ) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
thf(c_0_33,negated_conjecture,
( ( ra @ esk1_0 @ esk3_0 )
| ~ ( epred3_0 @ esk5_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
thf(c_0_34,plain,
( mtransitive
= ( ^ [Z0: $i > $i > $o] :
! [X15: $i,X16: $i,X17: $i] :
( ( ( Z0 @ X15 @ X16 )
& ( Z0 @ X16 @ X17 ) )
=> ( Z0 @ X15 @ X17 ) ) ) ),
inference(fof_simplification,[status(thm)],[mtransitive]) ).
thf(c_0_35,plain,
! [X3: $i] : ( ra @ X3 @ X3 ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
thf(c_0_36,negated_conjecture,
! [X3: $i] :
( ( ra @ X3 @ esk3_0 )
| ~ ( ra @ esk1_0 @ X3 )
| ~ ( epred3_0 @ esk5_0 ) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
thf(c_0_37,negated_conjecture,
( ( ra @ esk1_0 @ esk2_0 )
| ~ ( epred3_0 @ esk5_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
thf(c_0_38,plain,
! [X42: $i,X43: $i,X44: $i] :
( ( ( rb @ X42 @ X43 )
& ( rb @ X42 @ X44 ) )
=> ( rb @ X43 @ X44 ) ),
inference(apply_def,[status(thm)],[ax6,c_0_19]) ).
thf(c_0_39,negated_conjecture,
( ( ra @ esk1_0 @ esk3_0 )
| ~ ( epred4_0 @ esk6_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
thf(c_0_40,plain,
! [X39: $i,X40: $i,X41: $i] :
( ( ( rb @ X39 @ X40 )
& ( rb @ X40 @ X41 ) )
=> ( rb @ X39 @ X41 ) ),
inference(apply_def,[status(thm)],[ax4,c_0_34]) ).
thf(c_0_41,negated_conjecture,
! [X3: $i,X14: $i,X15: $i] :
( ( epred1_0 @ X14 )
| ( epred2_0 @ X15 )
| ~ ( epred3_0 @ esk5_0 )
| ~ ( ra @ esk1_0 @ X3 )
| ~ ( ra @ X3 @ X14 )
| ~ ( rb @ X3 @ X15 ) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
thf(c_0_42,plain,
! [X14: $i,X3: $i] :
( ( ra @ X3 @ X14 )
| ~ ( ra @ X14 @ X3 ) ),
inference(spm,[status(thm)],[c_0_32,c_0_35]) ).
thf(c_0_43,negated_conjecture,
( ( ra @ esk2_0 @ esk3_0 )
| ~ ( epred3_0 @ esk5_0 ) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
thf(c_0_44,plain,
! [X38: $i] : ( rb @ X38 @ X38 ),
inference(apply_def,[status(thm)],[ax2,c_0_25]) ).
thf(c_0_45,plain,
! [X72: $i,X73: $i,X74: $i] :
( ~ ( rb @ X72 @ X73 )
| ~ ( rb @ X72 @ X74 )
| ( rb @ X73 @ X74 ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_38])])]) ).
thf(c_0_46,negated_conjecture,
! [X3: $i] :
( ( ra @ X3 @ esk3_0 )
| ~ ( ra @ esk1_0 @ X3 )
| ~ ( epred4_0 @ esk6_0 ) ),
inference(spm,[status(thm)],[c_0_32,c_0_39]) ).
thf(c_0_47,negated_conjecture,
( ( ra @ esk1_0 @ esk2_0 )
| ~ ( epred4_0 @ esk6_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
thf(c_0_48,plain,
! [X69: $i,X70: $i,X71: $i] :
( ~ ( rb @ X69 @ X70 )
| ~ ( rb @ X70 @ X71 )
| ( rb @ X69 @ X71 ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_40])])]) ).
thf(c_0_49,negated_conjecture,
! [X3: $i,X14: $i] :
( ( epred1_0 @ X3 )
| ( epred2_0 @ X14 )
| ~ ( ra @ esk3_0 @ X3 )
| ~ ( rb @ esk3_0 @ X14 )
| ~ ( epred3_0 @ esk5_0 ) ),
inference(spm,[status(thm)],[c_0_41,c_0_33]) ).
thf(c_0_50,negated_conjecture,
( ( ra @ esk3_0 @ esk2_0 )
| ~ ( epred3_0 @ esk5_0 ) ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
thf(c_0_51,negated_conjecture,
( ~ ( epred3_0 @ esk5_0 )
| ~ ( epred1_0 @ esk2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
thf(c_0_52,plain,
! [X68: $i] : ( rb @ X68 @ X68 ),
inference(variable_rename,[status(thm)],[c_0_44]) ).
thf(c_0_53,plain,
! [X3: $i,X14: $i,X15: $i] :
( ( rb @ X14 @ X15 )
| ~ ( rb @ X3 @ X14 )
| ~ ( rb @ X3 @ X15 ) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
thf(c_0_54,negated_conjecture,
( ( rb @ esk4_0 @ esk6_0 )
| ~ ( epred1_0 @ esk2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
thf(c_0_55,negated_conjecture,
! [X3: $i,X14: $i,X15: $i] :
( ( epred1_0 @ X14 )
| ( epred2_0 @ X15 )
| ~ ( epred4_0 @ esk6_0 )
| ~ ( ra @ esk1_0 @ X3 )
| ~ ( ra @ X3 @ X14 )
| ~ ( rb @ X3 @ X15 ) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
thf(c_0_56,negated_conjecture,
( ( ra @ esk2_0 @ esk3_0 )
| ~ ( epred4_0 @ esk6_0 ) ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
thf(c_0_57,negated_conjecture,
( ( rb @ esk4_0 @ esk5_0 )
| ( ra @ esk1_0 @ esk3_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
thf(c_0_58,negated_conjecture,
! [X3: $i,X14: $i,X15: $i] :
( ( epred3_0 @ X14 )
| ( epred4_0 @ X15 )
| ~ ( rb @ esk4_0 @ X3 )
| ~ ( ra @ X3 @ X14 )
| ~ ( rb @ X3 @ X15 )
| ~ ( epred1_0 @ esk2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
thf(c_0_59,plain,
! [X3: $i,X14: $i,X15: $i] :
( ( rb @ X3 @ X15 )
| ~ ( rb @ X3 @ X14 )
| ~ ( rb @ X14 @ X15 ) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
thf(c_0_60,negated_conjecture,
( ( rb @ esk4_0 @ esk5_0 )
| ~ ( epred1_0 @ esk2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
thf(c_0_61,negated_conjecture,
! [X3: $i] :
( ( epred2_0 @ X3 )
| ~ ( rb @ esk3_0 @ X3 )
| ~ ( epred3_0 @ esk5_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_51]) ).
thf(c_0_62,plain,
! [X3: $i] : ( rb @ X3 @ X3 ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
thf(c_0_63,negated_conjecture,
( ~ ( epred3_0 @ esk5_0 )
| ~ ( epred2_0 @ esk3_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
thf(c_0_64,negated_conjecture,
! [X3: $i] :
( ( rb @ X3 @ esk6_0 )
| ~ ( rb @ esk4_0 @ X3 )
| ~ ( epred1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
thf(c_0_65,negated_conjecture,
! [X3: $i,X14: $i] :
( ( epred1_0 @ X3 )
| ( epred2_0 @ X14 )
| ~ ( ra @ esk3_0 @ X3 )
| ~ ( rb @ esk3_0 @ X14 )
| ~ ( epred4_0 @ esk6_0 ) ),
inference(spm,[status(thm)],[c_0_55,c_0_39]) ).
thf(c_0_66,negated_conjecture,
( ( ra @ esk3_0 @ esk2_0 )
| ~ ( epred4_0 @ esk6_0 ) ),
inference(spm,[status(thm)],[c_0_42,c_0_56]) ).
thf(c_0_67,negated_conjecture,
( ~ ( epred4_0 @ esk6_0 )
| ~ ( epred1_0 @ esk2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
thf(c_0_68,negated_conjecture,
( ( rb @ esk4_0 @ esk6_0 )
| ~ ( epred2_0 @ esk3_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
thf(c_0_69,negated_conjecture,
! [X3: $i] :
( ( rb @ esk4_0 @ esk5_0 )
| ( ra @ X3 @ esk3_0 )
| ~ ( ra @ esk1_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_32,c_0_57]) ).
thf(c_0_70,negated_conjecture,
( ( rb @ esk4_0 @ esk5_0 )
| ( ra @ esk1_0 @ esk2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
thf(c_0_71,negated_conjecture,
! [X3: $i,X14: $i] :
( ( epred3_0 @ X3 )
| ( epred4_0 @ X14 )
| ~ ( rb @ esk4_0 @ X3 )
| ~ ( epred1_0 @ esk2_0 )
| ~ ( rb @ X3 @ X14 ) ),
inference(spm,[status(thm)],[c_0_58,c_0_35]) ).
thf(c_0_72,negated_conjecture,
! [X3: $i] :
( ( rb @ X3 @ esk5_0 )
| ~ ( rb @ X3 @ esk4_0 )
| ~ ( epred1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
thf(c_0_73,negated_conjecture,
~ ( epred3_0 @ esk5_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_63]) ).
thf(c_0_74,negated_conjecture,
( ( rb @ esk5_0 @ esk6_0 )
| ~ ( epred1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_64,c_0_60]) ).
thf(c_0_75,negated_conjecture,
! [X3: $i] :
( ( epred2_0 @ X3 )
| ~ ( rb @ esk3_0 @ X3 )
| ~ ( epred4_0 @ esk6_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_67]) ).
thf(c_0_76,negated_conjecture,
( ~ ( epred4_0 @ esk6_0 )
| ~ ( epred2_0 @ esk3_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
thf(c_0_77,negated_conjecture,
! [X3: $i,X14: $i,X15: $i] :
( ( epred3_0 @ X14 )
| ( epred4_0 @ X15 )
| ~ ( rb @ esk4_0 @ X3 )
| ~ ( ra @ X3 @ X14 )
| ~ ( rb @ X3 @ X15 )
| ~ ( epred2_0 @ esk3_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
thf(c_0_78,negated_conjecture,
( ( rb @ esk4_0 @ esk5_0 )
| ~ ( epred2_0 @ esk3_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
thf(c_0_79,negated_conjecture,
! [X3: $i] :
( ( rb @ X3 @ esk6_0 )
| ~ ( rb @ esk4_0 @ X3 )
| ~ ( epred2_0 @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_53,c_0_68]) ).
thf(c_0_80,negated_conjecture,
( ( rb @ esk4_0 @ esk6_0 )
| ( ra @ esk1_0 @ esk3_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
thf(c_0_81,negated_conjecture,
! [X3: $i,X14: $i,X15: $i] :
( ( rb @ esk4_0 @ esk5_0 )
| ( epred1_0 @ X14 )
| ( epred2_0 @ X15 )
| ~ ( ra @ esk1_0 @ X3 )
| ~ ( ra @ X3 @ X14 )
| ~ ( rb @ X3 @ X15 ) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
thf(c_0_82,negated_conjecture,
( ( ra @ esk2_0 @ esk3_0 )
| ( rb @ esk4_0 @ esk5_0 ) ),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
thf(c_0_83,negated_conjecture,
! [X3: $i] :
( ( epred4_0 @ X3 )
| ~ ( rb @ esk5_0 @ X3 )
| ~ ( epred1_0 @ esk2_0 ) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_62])]),c_0_73]) ).
thf(c_0_84,negated_conjecture,
! [X3: $i] :
( ( rb @ X3 @ esk6_0 )
| ~ ( rb @ X3 @ esk5_0 )
| ~ ( epred1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_59,c_0_74]) ).
thf(c_0_85,negated_conjecture,
~ ( epred4_0 @ esk6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_62]),c_0_76]) ).
thf(c_0_86,negated_conjecture,
! [X3: $i,X14: $i] :
( ( epred3_0 @ X3 )
| ( epred4_0 @ X14 )
| ~ ( rb @ esk4_0 @ X3 )
| ~ ( epred2_0 @ esk3_0 )
| ~ ( rb @ X3 @ X14 ) ),
inference(spm,[status(thm)],[c_0_77,c_0_35]) ).
thf(c_0_87,negated_conjecture,
! [X3: $i] :
( ( rb @ X3 @ esk5_0 )
| ~ ( rb @ X3 @ esk4_0 )
| ~ ( epred2_0 @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_59,c_0_78]) ).
thf(c_0_88,negated_conjecture,
( ( rb @ esk5_0 @ esk6_0 )
| ~ ( epred2_0 @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_79,c_0_78]) ).
thf(c_0_89,negated_conjecture,
! [X3: $i] :
( ( rb @ esk4_0 @ esk6_0 )
| ( ra @ X3 @ esk3_0 )
| ~ ( ra @ esk1_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_32,c_0_80]) ).
thf(c_0_90,negated_conjecture,
( ( rb @ esk4_0 @ esk6_0 )
| ( ra @ esk1_0 @ esk2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
thf(c_0_91,negated_conjecture,
! [X3: $i,X14: $i] :
( ( rb @ esk4_0 @ esk5_0 )
| ( epred1_0 @ X3 )
| ( epred2_0 @ X14 )
| ~ ( ra @ esk3_0 @ X3 )
| ~ ( rb @ esk3_0 @ X14 ) ),
inference(spm,[status(thm)],[c_0_81,c_0_57]) ).
thf(c_0_92,negated_conjecture,
( ( rb @ esk4_0 @ esk5_0 )
| ( ra @ esk3_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_42,c_0_82]) ).
thf(c_0_93,negated_conjecture,
~ ( epred1_0 @ esk2_0 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_62])]),c_0_85]) ).
thf(c_0_94,negated_conjecture,
! [X3: $i] :
( ( epred4_0 @ X3 )
| ~ ( rb @ esk5_0 @ X3 )
| ~ ( epred2_0 @ esk3_0 ) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_62])]),c_0_73]) ).
thf(c_0_95,negated_conjecture,
! [X3: $i] :
( ( rb @ X3 @ esk6_0 )
| ~ ( rb @ X3 @ esk5_0 )
| ~ ( epred2_0 @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_59,c_0_88]) ).
thf(c_0_96,negated_conjecture,
! [X3: $i,X14: $i,X15: $i] :
( ( rb @ esk4_0 @ esk6_0 )
| ( epred1_0 @ X14 )
| ( epred2_0 @ X15 )
| ~ ( ra @ esk1_0 @ X3 )
| ~ ( ra @ X3 @ X14 )
| ~ ( rb @ X3 @ X15 ) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
thf(c_0_97,negated_conjecture,
( ( ra @ esk2_0 @ esk3_0 )
| ( rb @ esk4_0 @ esk6_0 ) ),
inference(spm,[status(thm)],[c_0_89,c_0_90]) ).
thf(c_0_98,negated_conjecture,
! [X3: $i] :
( ( rb @ esk4_0 @ esk5_0 )
| ( epred2_0 @ X3 )
| ~ ( rb @ esk3_0 @ X3 ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_93]) ).
thf(c_0_99,negated_conjecture,
~ ( epred2_0 @ esk3_0 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_95]),c_0_62])]),c_0_85]) ).
thf(c_0_100,negated_conjecture,
! [X3: $i,X14: $i] :
( ( rb @ esk4_0 @ esk6_0 )
| ( epred1_0 @ X3 )
| ( epred2_0 @ X14 )
| ~ ( ra @ esk3_0 @ X3 )
| ~ ( rb @ esk3_0 @ X14 ) ),
inference(spm,[status(thm)],[c_0_96,c_0_80]) ).
thf(c_0_101,negated_conjecture,
( ( rb @ esk4_0 @ esk6_0 )
| ( ra @ esk3_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_42,c_0_97]) ).
thf(c_0_102,negated_conjecture,
rb @ esk4_0 @ esk5_0,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_62]),c_0_99]) ).
thf(c_0_103,negated_conjecture,
! [X3: $i] :
( ( rb @ esk4_0 @ esk6_0 )
| ( epred2_0 @ X3 )
| ~ ( rb @ esk3_0 @ X3 ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_93]) ).
thf(c_0_104,plain,
! [X14: $i,X3: $i] :
( ( rb @ X3 @ X14 )
| ~ ( rb @ X14 @ X3 ) ),
inference(spm,[status(thm)],[c_0_53,c_0_62]) ).
thf(c_0_105,negated_conjecture,
! [X3: $i] :
( ( rb @ X3 @ esk5_0 )
| ~ ( rb @ X3 @ esk4_0 ) ),
inference(spm,[status(thm)],[c_0_59,c_0_102]) ).
thf(c_0_106,negated_conjecture,
rb @ esk4_0 @ esk6_0,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_62]),c_0_99]) ).
thf(c_0_107,negated_conjecture,
! [X3: $i] :
( ( rb @ esk5_0 @ X3 )
| ~ ( rb @ X3 @ esk4_0 ) ),
inference(spm,[status(thm)],[c_0_104,c_0_105]) ).
thf(c_0_108,negated_conjecture,
rb @ esk6_0 @ esk4_0,
inference(spm,[status(thm)],[c_0_104,c_0_106]) ).
thf(c_0_109,negated_conjecture,
! [X3: $i,X14: $i,X15: $i] :
( ( epred3_0 @ X14 )
| ( epred4_0 @ X15 )
| ( ra @ esk1_0 @ esk3_0 )
| ~ ( rb @ esk4_0 @ X3 )
| ~ ( ra @ X3 @ X14 )
| ~ ( rb @ X3 @ X15 ) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
thf(c_0_110,negated_conjecture,
rb @ esk5_0 @ esk6_0,
inference(spm,[status(thm)],[c_0_107,c_0_108]) ).
thf(c_0_111,plain,
! [X46: $i,X47: $i,X48: $i] :
( ( ( ra @ X46 @ X47 )
& ( ra @ X47 @ X48 ) )
=> ( ra @ X46 @ X48 ) ),
inference(apply_def,[status(thm)],[ax3,c_0_34]) ).
thf(c_0_112,negated_conjecture,
! [X3: $i,X14: $i,X15: $i] :
( ( epred3_0 @ X14 )
| ( epred4_0 @ X15 )
| ( ra @ esk1_0 @ esk2_0 )
| ~ ( rb @ esk4_0 @ X3 )
| ~ ( ra @ X3 @ X14 )
| ~ ( rb @ X3 @ X15 ) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
thf(c_0_113,negated_conjecture,
! [X3: $i] :
( ( ra @ esk1_0 @ esk3_0 )
| ( epred3_0 @ X3 )
| ~ ( ra @ esk5_0 @ X3 ) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_110]),c_0_102])]),c_0_85]) ).
thf(c_0_114,plain,
! [X76: $i,X77: $i,X78: $i] :
( ~ ( ra @ X76 @ X77 )
| ~ ( ra @ X77 @ X78 )
| ( ra @ X76 @ X78 ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_111])])]) ).
thf(c_0_115,negated_conjecture,
! [X3: $i] :
( ( ra @ esk1_0 @ esk2_0 )
| ( epred3_0 @ X3 )
| ~ ( ra @ esk5_0 @ X3 ) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_110]),c_0_102])]),c_0_85]) ).
thf(c_0_116,negated_conjecture,
! [X15: $i,X3: $i,X14: $i,X16: $i,X17: $i,X21: $i] :
( ( epred3_0 @ X14 )
| ( epred4_0 @ X15 )
| ( epred1_0 @ X17 )
| ( epred2_0 @ X21 )
| ~ ( rb @ esk4_0 @ X3 )
| ~ ( ra @ X3 @ X14 )
| ~ ( rb @ X3 @ X15 )
| ~ ( ra @ esk1_0 @ X16 )
| ~ ( ra @ X16 @ X17 )
| ~ ( rb @ X16 @ X21 ) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
thf(c_0_117,negated_conjecture,
ra @ esk1_0 @ esk3_0,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_35]),c_0_73]) ).
thf(c_0_118,plain,
! [X3: $i,X14: $i,X15: $i] :
( ( ra @ X3 @ X15 )
| ~ ( ra @ X3 @ X14 )
| ~ ( ra @ X14 @ X15 ) ),
inference(split_conjunct,[status(thm)],[c_0_114]) ).
thf(c_0_119,negated_conjecture,
ra @ esk1_0 @ esk2_0,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_35]),c_0_73]) ).
thf(c_0_120,negated_conjecture,
! [X14: $i,X15: $i,X3: $i,X17: $i,X16: $i] :
( ( epred1_0 @ X3 )
| ( epred2_0 @ X14 )
| ( epred3_0 @ X15 )
| ( epred4_0 @ X16 )
| ~ ( rb @ esk4_0 @ X17 )
| ~ ( ra @ esk3_0 @ X3 )
| ~ ( rb @ esk3_0 @ X14 )
| ~ ( ra @ X17 @ X15 )
| ~ ( rb @ X17 @ X16 ) ),
inference(spm,[status(thm)],[c_0_116,c_0_117]) ).
thf(c_0_121,negated_conjecture,
! [X3: $i] :
( ( ra @ X3 @ esk2_0 )
| ~ ( ra @ X3 @ esk1_0 ) ),
inference(spm,[status(thm)],[c_0_118,c_0_119]) ).
thf(c_0_122,negated_conjecture,
ra @ esk3_0 @ esk1_0,
inference(spm,[status(thm)],[c_0_42,c_0_117]) ).
thf(c_0_123,negated_conjecture,
! [X15: $i,X14: $i,X16: $i,X3: $i] :
( ( epred4_0 @ X3 )
| ( epred3_0 @ X14 )
| ( epred2_0 @ X15 )
| ~ ( rb @ esk4_0 @ X16 )
| ~ ( rb @ esk3_0 @ X15 )
| ~ ( ra @ X16 @ X14 )
| ~ ( rb @ X16 @ X3 ) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_121]),c_0_122])]),c_0_93]) ).
thf(c_0_124,negated_conjecture,
! [X15: $i,X3: $i,X14: $i] :
( ( epred3_0 @ X3 )
| ( epred4_0 @ X14 )
| ~ ( rb @ esk4_0 @ X15 )
| ~ ( ra @ X15 @ X3 )
| ~ ( rb @ X15 @ X14 ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_62]),c_0_99]) ).
thf(c_0_125,negated_conjecture,
! [X14: $i,X3: $i] :
( ( epred4_0 @ X3 )
| ( epred3_0 @ X14 )
| ~ ( rb @ esk4_0 @ X14 )
| ~ ( rb @ X14 @ X3 ) ),
inference(spm,[status(thm)],[c_0_124,c_0_35]) ).
thf(c_0_126,negated_conjecture,
! [X3: $i] :
( ( epred4_0 @ X3 )
| ~ ( rb @ esk5_0 @ X3 ) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_105]),c_0_62])]),c_0_73]) ).
thf(c_0_127,negated_conjecture,
! [X3: $i] :
( ( rb @ X3 @ esk6_0 )
| ~ ( rb @ X3 @ esk5_0 ) ),
inference(spm,[status(thm)],[c_0_59,c_0_110]) ).
thf(c_0_128,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_127]),c_0_62])]),c_0_85]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL873^1 : TPTP v9.3.1. Bugfixed v5.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.17 % Computer : n013.cluster.edu
% 0.10/0.17 % Model : x86_64 x86_64
% 0.10/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.17 % Memory : 8046.5625MB
% 0.10/0.17 % OS : Linux 6.8.0-71-generic
% 0.10/0.17 % CPULimit : 300
% 0.10/0.17 % WCLimit : 300
% 0.10/0.17 % DateTime : Tue Sep 29 10:18:36 UTC 2026
% 0.10/0.18 % CPUTime :
% 0.10/0.18 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.22 Running higher-order theorem proving
% 0.10/0.23 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.nZVda7qfrm/E---3.1_1911807.p
% 0.21/0.32 % Version: 3.5.1-ho
% 0.21/0.32 % Preprocessing class: HSMSSMSSMLMNHHN.
% 0.21/0.32 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.32 % Starting ehoh_best2_full_lfho with 1500s (5) cores
% 0.21/0.32 % Starting lpo9_lambda_fix with 300s (1) cores
% 0.21/0.32 % Starting sh5l with 300s (1) cores
% 0.21/0.32 % Starting ho_unfolding_6 with 300s (1) cores
% 0.21/0.32 % lpo9_lambda_fix with pid 1911842 completed with status 0
% 0.21/0.32 % Result found by lpo9_lambda_fix
% 0.21/0.32 % Preprocessing class: HSMSSMSSMLMNHHN.
% 0.21/0.32 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.32 % Starting ehoh_best2_full_lfho with 1500s (5) cores
% 0.21/0.32 % Starting lpo9_lambda_fix with 300s (1) cores
% 0.21/0.32 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = gf500_gu_R04_F100_L20000)
% 0.21/0.32 % SinE strategy is gf500_gu_R04_F100_L20000
% 0.21/0.32 % Search class: HGHNS-FFMS00-SHHSMFNN
% 0.21/0.32 % partial match(2): HGHNF-FFMM00-SHHSMFNN
% 0.21/0.32 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.32 % Starting SubtermCWHack with 28s (1) cores
% 0.21/0.32 % SubtermCWHack with pid 1911850 completed with status 0
% 0.21/0.32 % Result found by SubtermCWHack
% 0.21/0.32 % Preprocessing class: HSMSSMSSMLMNHHN.
% 0.21/0.32 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.32 % Starting ehoh_best2_full_lfho with 1500s (5) cores
% 0.21/0.32 % Starting lpo9_lambda_fix with 300s (1) cores
% 0.21/0.32 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = gf500_gu_R04_F100_L20000)
% 0.21/0.32 % SinE strategy is gf500_gu_R04_F100_L20000
% 0.21/0.32 % Search class: HGHNS-FFMS00-SHHSMFNN
% 0.21/0.32 % partial match(2): HGHNF-FFMM00-SHHSMFNN
% 0.21/0.32 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.32 % Starting SubtermCWHack with 28s (1) cores
% 0.21/0.32 % Preprocessing time : 0.002 s
% 0.21/0.32
% 0.21/0.32 % Proof found!
% 0.21/0.32 % SZS status Theorem
% 0.21/0.32 % SZS output start CNFRefutation
% See solution above
% 0.21/0.32 % Parsed axioms : 72
% 0.21/0.32 % Removed by relevancy pruning/SinE : 50
% 0.21/0.32 % Initial clauses : 31
% 0.21/0.32 % Removed in clause preprocessing : 0
% 0.21/0.32 % Initial clauses in saturation : 31
% 0.21/0.32 % Processed clauses : 943
% 0.21/0.32 % ...of these trivial : 2
% 0.21/0.32 % ...subsumed : 578
% 0.21/0.32 % ...remaining for further processing : 363
% 0.21/0.32 % Other redundant clauses eliminated : 0
% 0.21/0.32 % Clauses deleted for lack of memory : 0
% 0.21/0.32 % Backward-subsumed : 219
% 0.21/0.32 % Backward-rewritten : 68
% 0.21/0.32 % Generated clauses : 2425
% 0.21/0.32 % ...of the previous two non-redundant : 1753
% 0.21/0.32 % ...aggressively subsumed : 0
% 0.21/0.32 % Contextual simplify-reflections : 24
% 0.21/0.32 % Paramodulations : 2425
% 0.21/0.32 % Factorizations : 0
% 0.21/0.32 % NegExts : 0
% 0.21/0.32 % Equation resolutions : 0
% 0.21/0.32 % Disequality decompositions : 0
% 0.21/0.32 % Total rewrite steps : 905
% 0.21/0.32 % ...of those cached : 884
% 0.21/0.32 % Propositional unsat checks : 0
% 0.21/0.32 % Propositional check models : 0
% 0.21/0.32 % Propositional check unsatisfiable : 0
% 0.21/0.32 % Propositional clauses : 0
% 0.21/0.32 % Propositional clauses after purity: 0
% 0.21/0.32 % Propositional unsat core size : 0
% 0.21/0.32 % Propositional preprocessing time : 0.000
% 0.21/0.32 % Propositional encoding time : 0.000
% 0.21/0.32 % Propositional solver time : 0.000
% 0.21/0.32 % Success case prop preproc time : 0.000
% 0.21/0.32 % Success case prop encoding time : 0.000
% 0.21/0.32 % Success case prop solver time : 0.000
% 0.21/0.32 % Current number of processed clauses : 76
% 0.21/0.32 % Positive orientable unit clauses : 15
% 0.21/0.32 % Positive unorientable unit clauses: 0
% 0.21/0.32 % Negative unit clauses : 4
% 0.21/0.32 % Non-unit-clauses : 57
% 0.21/0.32 % Current number of unprocessed clauses: 12
% 0.21/0.32 % ...number of literals in the above : 45
% 0.21/0.32 % Current number of archived formulas : 0
% 0.21/0.32 % Current number of archived clauses : 287
% 0.21/0.32 % Clause-clause subsumption calls (NU) : 12435
% 0.21/0.32 % Rec. Clause-clause subsumption calls : 8266
% 0.21/0.32 % Non-unit clause-clause subsumptions : 692
% 0.21/0.32 % Unit Clause-clause subsumption calls : 457
% 0.21/0.32 % Rewrite failures with RHS unbound : 0
% 0.21/0.32 % BW rewrite match attempts : 13
% 0.21/0.32 % BW rewrite match successes : 13
% 0.21/0.32 % Condensation attempts : 0
% 0.21/0.32 % Condensation successes : 0
% 0.21/0.32 % Termbank termtop insertions : 34798
% 0.21/0.32 % Search garbage collected termcells : 1404
% 0.21/0.32
% 0.21/0.32 % -------------------------------------------------
% 0.21/0.32 % User time : 0.063 s
% 0.21/0.32 % System time : 0.005 s
% 0.21/0.32 % Total time : 0.068 s
% 0.21/0.32 % Maximum resident set size: 3904 pages
% 0.21/0.32
% 0.21/0.32 % -------------------------------------------------
% 0.21/0.32 % User time : 0.066 s
% 0.21/0.32 % System time : 0.009 s
% 0.21/0.32 % Total time : 0.076 s
% 0.21/0.32 % Maximum resident set size: 4864 pages
% 0.21/0.32 % E exiting
%------------------------------------------------------------------------------