%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : LCL879^1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n009.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 0.10s 0.26s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 58
% Number of leaves : 7
% Syntax : Number of formulae : 95 ( 20 unt; 0 typ; 0 def)
% Number of atoms : 391 ( 13 equ; 0 cnn)
% Maximal formula atoms : 38 ( 4 avg)
% Number of connectives : 1336 ( 156 ~; 303 |; 16 &; 855 @)
% ( 3 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 74 ( 74 >; 0 *; 0 +; 0 <<)
% Number of symbols : 18 ( 16 usr; 7 con; 0-3 aty)
% Number of variables : 230 ( 32 ^; 198 !; 0 ?; 230 :)
% 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_50,type,
mvalid: ( $i > $o ) > $o ).
thf(decl_54,type,
epred1_0: $i > $i > $o ).
thf(decl_55,type,
epred2_0: $i > $i > $o ).
thf(decl_56,type,
esk1_0: $i ).
thf(decl_57,type,
epred3_0: $i > $o ).
thf(decl_58,type,
esk2_0: $i ).
thf(decl_59,type,
esk3_0: $i ).
thf(decl_60,type,
esk4_0: $i ).
thf(decl_61,type,
esk5_0: $i ).
thf(decl_62,type,
esk6_0: $i ).
thf(decl_63,type,
esk7_2: $i > ( $i > $o ) > $i ).
thf(mimplies,axiom,
( mimplies
= ( ^ [X6: $i > $o,X7: $i > $o] : ( mor @ ( mnot @ X6 ) @ X7 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.7ownqsElAW/E---3.1_3818957.p',mimplies) ).
thf(mnot,axiom,
( mnot
= ( ^ [X6: $i > $o,X3: $i] :
~ ( X6 @ X3 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.7ownqsElAW/E---3.1_3818957.p',mnot) ).
thf(mor,axiom,
( mor
= ( ^ [X6: $i > $o,X7: $i > $o,X3: $i] :
( ( X6 @ X3 )
| ( X7 @ X3 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.7ownqsElAW/E---3.1_3818957.p',mor) ).
thf(conj,conjecture,
! [X18: $i > $i > $o,X19: $i > $i > $o] :
( ( mvalid
@ ( mforall_prop
@ ^ [X6: $i > $o] : ( mimplies @ ( mbox @ X18 @ X6 ) @ ( mbox @ X19 @ ( mbox @ X18 @ X6 ) ) ) ) )
<=> ! [X17: $i,X14: $i,X3: $i] :
( ( ( X19 @ X17 @ X14 )
& ( X18 @ X14 @ X3 ) )
=> ( X18 @ X17 @ X3 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.7ownqsElAW/E---3.1_3818957.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/sandbox2/tmp/tmp.7ownqsElAW/E---3.1_3818957.p',mbox) ).
thf(mforall_prop,axiom,
( mforall_prop
= ( ^ [X9: ( $i > $o ) > $i > $o,X3: $i] :
! [X10: $i > $o] : ( X9 @ X10 @ X3 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.7ownqsElAW/E---3.1_3818957.p',mforall_prop) ).
thf(mvalid,axiom,
( mvalid
= ( ^ [X6: $i > $o] :
! [X3: $i] : ( X6 @ X3 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.7ownqsElAW/E---3.1_3818957.p',mvalid) ).
thf(c_0_7,plain,
( mimplies
= ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
( ~ ( Z0 @ Z2 )
| ( Z1 @ Z2 ) ) ) ),
inference(fof_simplification,[status(thm)],[mimplies]) ).
thf(c_0_8,plain,
( mnot
= ( ^ [Z0: $i > $o,Z1: $i] :
~ ( Z0 @ Z1 ) ) ),
inference(fof_simplification,[status(thm)],[mnot]) ).
thf(c_0_9,plain,
( mor
= ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
( ( Z0 @ Z2 )
| ( Z1 @ Z2 ) ) ) ),
inference(fof_simplification,[status(thm)],[mor]) ).
thf(c_0_10,negated_conjecture,
~ ! [X18: $i > $i > $o,X19: $i > $i > $o] :
( ( mvalid
@ ( mforall_prop
@ ^ [X6: $i > $o] : ( mimplies @ ( mbox @ X18 @ X6 ) @ ( mbox @ X19 @ ( mbox @ X18 @ X6 ) ) ) ) )
<=> ! [X17: $i,X14: $i,X3: $i] :
( ( ( X19 @ X17 @ X14 )
& ( X18 @ X14 @ X3 ) )
=> ( X18 @ X17 @ X3 ) ) ),
inference(assume_negation,[status(cth)],[conj]) ).
thf(c_0_11,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_12,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_7,c_0_8]),c_0_9]) ).
thf(c_0_13,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_14,plain,
( mvalid
= ( ^ [Z0: $i > $o] :
! [X3: $i] : ( Z0 @ X3 ) ) ),
inference(fof_simplification,[status(thm)],[mvalid]) ).
thf(c_0_15,negated_conjecture,
~ ! [X18: $i > $i > $o,X19: $i > $i > $o] :
( ! [X29: $i,X28: $i > $o] :
( ~ ! [X25: $i] :
( ~ ( X18 @ X29 @ X25 )
| ( X28 @ X25 ) )
| ! [X27: $i] :
( ~ ( X19 @ X29 @ X27 )
| ! [X26: $i] :
( ~ ( X18 @ X27 @ X26 )
| ( X28 @ X26 ) ) ) )
<=> ! [X17: $i,X14: $i,X3: $i] :
( ( ( X19 @ X17 @ X14 )
& ( X18 @ X14 @ X3 ) )
=> ( X18 @ X17 @ X3 ) ) ),
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(fof_simplification,[status(thm)],[c_0_10]),c_0_11]),c_0_12]),c_0_13]),c_0_14])]) ).
thf(c_0_16,negated_conjecture,
! [X34: $i,X40: $i,X41: $i > $o,X43: $i,X44: $i,X45: $i,X46: $i,X47: $i] :
( ( ( epred2_0 @ esk4_0 @ esk5_0 )
| ~ ( epred1_0 @ esk1_0 @ X34 )
| ( epred3_0 @ X34 ) )
& ( ( epred1_0 @ esk5_0 @ esk6_0 )
| ~ ( epred1_0 @ esk1_0 @ X34 )
| ( epred3_0 @ X34 ) )
& ( ~ ( epred1_0 @ esk4_0 @ esk6_0 )
| ~ ( epred1_0 @ esk1_0 @ X34 )
| ( epred3_0 @ X34 ) )
& ( ( epred2_0 @ esk4_0 @ esk5_0 )
| ( epred2_0 @ esk1_0 @ esk2_0 ) )
& ( ( epred1_0 @ esk5_0 @ esk6_0 )
| ( epred2_0 @ esk1_0 @ esk2_0 ) )
& ( ~ ( epred1_0 @ esk4_0 @ esk6_0 )
| ( epred2_0 @ esk1_0 @ esk2_0 ) )
& ( ( epred2_0 @ esk4_0 @ esk5_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 ) )
& ( ( epred1_0 @ esk5_0 @ esk6_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 ) )
& ( ~ ( epred1_0 @ esk4_0 @ esk6_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 ) )
& ( ( epred2_0 @ esk4_0 @ esk5_0 )
| ~ ( epred3_0 @ esk3_0 ) )
& ( ( epred1_0 @ esk5_0 @ esk6_0 )
| ~ ( epred3_0 @ esk3_0 ) )
& ( ~ ( epred1_0 @ esk4_0 @ esk6_0 )
| ~ ( epred3_0 @ esk3_0 ) )
& ( ( epred1_0 @ X40 @ ( esk7_2 @ X40 @ X41 ) )
| ~ ( epred2_0 @ X40 @ X43 )
| ~ ( epred1_0 @ X43 @ X44 )
| ( X41 @ X44 )
| ~ ( epred2_0 @ X45 @ X46 )
| ~ ( epred1_0 @ X46 @ X47 )
| ( epred1_0 @ X45 @ X47 ) )
& ( ~ ( X41 @ ( esk7_2 @ X40 @ X41 ) )
| ~ ( epred2_0 @ X40 @ X43 )
| ~ ( epred1_0 @ X43 @ X44 )
| ( X41 @ X44 )
| ~ ( epred2_0 @ X45 @ X46 )
| ~ ( epred1_0 @ X46 @ X47 )
| ( epred1_0 @ X45 @ X47 ) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])])])]) ).
thf(c_0_17,negated_conjecture,
! [X15: $i,X4: $i > $o,X3: $i,X14: $i,X16: $i,X17: $i,X22: $i] :
( ( epred1_0 @ X3 @ ( esk7_2 @ X3 @ X4 ) )
| ( X4 @ X15 )
| ( epred1_0 @ X16 @ X22 )
| ~ ( epred2_0 @ X3 @ X14 )
| ~ ( epred1_0 @ X14 @ X15 )
| ~ ( epred2_0 @ X16 @ X17 )
| ~ ( epred1_0 @ X17 @ X22 ) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
thf(c_0_18,negated_conjecture,
( ( epred1_0 @ esk5_0 @ esk6_0 )
| ( epred2_0 @ esk1_0 @ esk2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
thf(c_0_19,negated_conjecture,
! [X14: $i,X15: $i,X3: $i,X4: $i > $o,X16: $i] :
( ( epred1_0 @ X3 @ ( esk7_2 @ X3 @ X4 ) )
| ( epred1_0 @ esk5_0 @ esk6_0 )
| ( epred1_0 @ esk1_0 @ X14 )
| ( X4 @ X15 )
| ~ ( epred1_0 @ esk2_0 @ X14 )
| ~ ( epred1_0 @ X16 @ X15 )
| ~ ( epred2_0 @ X3 @ X16 ) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
thf(c_0_20,negated_conjecture,
! [X4: $i > $o,X3: $i,X14: $i] :
( ( epred1_0 @ esk1_0 @ ( esk7_2 @ esk1_0 @ X4 ) )
| ( epred1_0 @ esk5_0 @ esk6_0 )
| ( epred1_0 @ esk1_0 @ X3 )
| ( X4 @ X14 )
| ~ ( epred1_0 @ esk2_0 @ X3 )
| ~ ( epred1_0 @ esk2_0 @ X14 ) ),
inference(spm,[status(thm)],[c_0_19,c_0_18]) ).
thf(c_0_21,negated_conjecture,
( ( epred1_0 @ esk5_0 @ esk6_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
thf(c_0_22,negated_conjecture,
! [X4: $i > $o,X3: $i] :
( ( epred1_0 @ esk1_0 @ ( esk7_2 @ esk1_0 @ X4 ) )
| ( epred1_0 @ esk5_0 @ esk6_0 )
| ( epred1_0 @ esk1_0 @ X3 )
| ( X4 @ esk3_0 )
| ~ ( epred1_0 @ esk2_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
thf(c_0_23,negated_conjecture,
! [X15: $i,X3: $i,X4: $i > $o,X14: $i,X16: $i,X17: $i,X22: $i] :
( ( X4 @ X15 )
| ( epred1_0 @ X16 @ X22 )
| ~ ( X4 @ ( esk7_2 @ X3 @ X4 ) )
| ~ ( epred2_0 @ X3 @ X14 )
| ~ ( epred1_0 @ X14 @ X15 )
| ~ ( epred2_0 @ X16 @ X17 )
| ~ ( epred1_0 @ X17 @ X22 ) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
thf(c_0_24,negated_conjecture,
! [X4: $i > $o] :
( ( epred1_0 @ esk1_0 @ ( esk7_2 @ esk1_0 @ X4 ) )
| ( epred1_0 @ esk1_0 @ esk3_0 )
| ( epred1_0 @ esk5_0 @ esk6_0 )
| ( X4 @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_22,c_0_21]) ).
thf(c_0_25,negated_conjecture,
! [X15: $i,X14: $i,X16: $i,X3: $i,X17: $i] :
( ( epred1_0 @ esk5_0 @ esk6_0 )
| ( epred1_0 @ esk1_0 @ esk3_0 )
| ( epred1_0 @ esk1_0 @ X3 )
| ( epred1_0 @ X14 @ X15 )
| ~ ( epred2_0 @ esk1_0 @ X16 )
| ~ ( epred1_0 @ X17 @ X15 )
| ~ ( epred1_0 @ X16 @ X3 )
| ~ ( epred2_0 @ X14 @ X17 ) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
thf(c_0_26,negated_conjecture,
! [X15: $i,X14: $i,X3: $i,X16: $i] :
( ( epred1_0 @ esk1_0 @ esk3_0 )
| ( epred1_0 @ esk5_0 @ esk6_0 )
| ( epred1_0 @ esk1_0 @ X3 )
| ( epred1_0 @ X14 @ X15 )
| ~ ( epred1_0 @ esk2_0 @ X3 )
| ~ ( epred1_0 @ X16 @ X15 )
| ~ ( epred2_0 @ X14 @ X16 ) ),
inference(spm,[status(thm)],[c_0_25,c_0_18]) ).
thf(c_0_27,negated_conjecture,
! [X14: $i,X3: $i] :
( ( epred1_0 @ esk5_0 @ esk6_0 )
| ( epred1_0 @ esk1_0 @ esk3_0 )
| ( epred1_0 @ esk1_0 @ X3 )
| ( epred1_0 @ esk1_0 @ X14 )
| ~ ( epred1_0 @ esk2_0 @ X14 )
| ~ ( epred1_0 @ esk2_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_26,c_0_18]) ).
thf(c_0_28,negated_conjecture,
( ( epred2_0 @ esk4_0 @ esk5_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
thf(c_0_29,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk1_0 @ esk3_0 )
| ( epred1_0 @ esk5_0 @ esk6_0 )
| ( epred1_0 @ esk1_0 @ X3 )
| ~ ( epred1_0 @ esk2_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_27,c_0_21]) ).
thf(c_0_30,negated_conjecture,
! [X14: $i,X15: $i,X3: $i,X4: $i > $o,X16: $i] :
( ( epred1_0 @ X3 @ ( esk7_2 @ X3 @ X4 ) )
| ( epred1_0 @ esk2_0 @ esk3_0 )
| ( epred1_0 @ esk4_0 @ X14 )
| ( X4 @ X15 )
| ~ ( epred1_0 @ esk5_0 @ X14 )
| ~ ( epred1_0 @ X16 @ X15 )
| ~ ( epred2_0 @ X3 @ X16 ) ),
inference(spm,[status(thm)],[c_0_17,c_0_28]) ).
thf(c_0_31,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk5_0 @ esk6_0 )
| ( epred3_0 @ X3 )
| ~ ( epred1_0 @ esk1_0 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
thf(c_0_32,negated_conjecture,
( ( epred1_0 @ esk5_0 @ esk6_0 )
| ( epred1_0 @ esk1_0 @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_29,c_0_21]) ).
thf(c_0_33,negated_conjecture,
( ( epred1_0 @ esk5_0 @ esk6_0 )
| ~ ( epred3_0 @ esk3_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
thf(c_0_34,negated_conjecture,
! [X4: $i > $o,X3: $i,X14: $i] :
( ( epred1_0 @ esk4_0 @ ( esk7_2 @ esk4_0 @ X4 ) )
| ( epred1_0 @ esk2_0 @ esk3_0 )
| ( epred1_0 @ esk4_0 @ X3 )
| ( X4 @ X14 )
| ~ ( epred1_0 @ esk5_0 @ X3 )
| ~ ( epred1_0 @ esk5_0 @ X14 ) ),
inference(spm,[status(thm)],[c_0_30,c_0_28]) ).
thf(c_0_35,negated_conjecture,
epred1_0 @ esk5_0 @ esk6_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33]) ).
thf(c_0_36,negated_conjecture,
! [X4: $i > $o,X3: $i] :
( ( epred1_0 @ esk4_0 @ ( esk7_2 @ esk4_0 @ X4 ) )
| ( epred1_0 @ esk2_0 @ esk3_0 )
| ( epred1_0 @ esk4_0 @ X3 )
| ( X4 @ esk6_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
thf(c_0_37,negated_conjecture,
( ( epred1_0 @ esk2_0 @ esk3_0 )
| ~ ( epred1_0 @ esk4_0 @ esk6_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
thf(c_0_38,negated_conjecture,
! [X4: $i > $o] :
( ( epred1_0 @ esk4_0 @ ( esk7_2 @ esk4_0 @ X4 ) )
| ( epred1_0 @ esk2_0 @ esk3_0 )
| ( X4 @ esk6_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_35]),c_0_37]) ).
thf(c_0_39,negated_conjecture,
! [X15: $i,X14: $i,X16: $i,X3: $i,X17: $i] :
( ( epred1_0 @ esk2_0 @ esk3_0 )
| ( epred1_0 @ esk4_0 @ X3 )
| ( epred1_0 @ X14 @ X15 )
| ~ ( epred2_0 @ esk4_0 @ X16 )
| ~ ( epred1_0 @ X17 @ X15 )
| ~ ( epred1_0 @ X16 @ X3 )
| ~ ( epred2_0 @ X14 @ X17 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_38]),c_0_37]) ).
thf(c_0_40,negated_conjecture,
! [X15: $i,X14: $i,X3: $i,X16: $i] :
( ( epred1_0 @ esk2_0 @ esk3_0 )
| ( epred1_0 @ esk4_0 @ X3 )
| ( epred1_0 @ X14 @ X15 )
| ~ ( epred1_0 @ esk5_0 @ X3 )
| ~ ( epred1_0 @ X16 @ X15 )
| ~ ( epred2_0 @ X14 @ X16 ) ),
inference(spm,[status(thm)],[c_0_39,c_0_28]) ).
thf(c_0_41,negated_conjecture,
( ( epred2_0 @ esk4_0 @ esk5_0 )
| ( epred2_0 @ esk1_0 @ esk2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
thf(c_0_42,negated_conjecture,
! [X14: $i,X3: $i] :
( ( epred1_0 @ esk2_0 @ esk3_0 )
| ( epred1_0 @ esk4_0 @ X3 )
| ( epred1_0 @ esk4_0 @ X14 )
| ~ ( epred1_0 @ esk5_0 @ X14 )
| ~ ( epred1_0 @ esk5_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_40,c_0_28]) ).
thf(c_0_43,negated_conjecture,
! [X14: $i,X15: $i,X3: $i,X4: $i > $o,X16: $i] :
( ( epred1_0 @ X3 @ ( esk7_2 @ X3 @ X4 ) )
| ( epred2_0 @ esk4_0 @ esk5_0 )
| ( epred1_0 @ esk1_0 @ X14 )
| ( X4 @ X15 )
| ~ ( epred1_0 @ esk2_0 @ X14 )
| ~ ( epred1_0 @ X16 @ X15 )
| ~ ( epred2_0 @ X3 @ X16 ) ),
inference(spm,[status(thm)],[c_0_17,c_0_41]) ).
thf(c_0_44,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk2_0 @ esk3_0 )
| ( epred1_0 @ esk4_0 @ X3 )
| ~ ( epred1_0 @ esk5_0 @ X3 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_35]),c_0_37]) ).
thf(c_0_45,negated_conjecture,
! [X4: $i > $o,X3: $i,X14: $i] :
( ( epred1_0 @ esk1_0 @ ( esk7_2 @ esk1_0 @ X4 ) )
| ( epred2_0 @ esk4_0 @ esk5_0 )
| ( epred1_0 @ esk1_0 @ X3 )
| ( X4 @ X14 )
| ~ ( epred1_0 @ esk2_0 @ X3 )
| ~ ( epred1_0 @ esk2_0 @ X14 ) ),
inference(spm,[status(thm)],[c_0_43,c_0_41]) ).
thf(c_0_46,negated_conjecture,
epred1_0 @ esk2_0 @ esk3_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_35]),c_0_37]) ).
thf(c_0_47,negated_conjecture,
! [X4: $i > $o,X3: $i] :
( ( epred1_0 @ esk1_0 @ ( esk7_2 @ esk1_0 @ X4 ) )
| ( epred2_0 @ esk4_0 @ esk5_0 )
| ( epred1_0 @ esk1_0 @ X3 )
| ( X4 @ esk3_0 )
| ~ ( epred1_0 @ esk2_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
thf(c_0_48,negated_conjecture,
! [X4: $i > $o] :
( ( epred1_0 @ esk1_0 @ ( esk7_2 @ esk1_0 @ X4 ) )
| ( epred1_0 @ esk1_0 @ esk3_0 )
| ( epred2_0 @ esk4_0 @ esk5_0 )
| ( X4 @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_47,c_0_46]) ).
thf(c_0_49,negated_conjecture,
! [X15: $i,X14: $i,X16: $i,X3: $i,X17: $i] :
( ( epred2_0 @ esk4_0 @ esk5_0 )
| ( epred1_0 @ esk1_0 @ esk3_0 )
| ( epred1_0 @ esk1_0 @ X3 )
| ( epred1_0 @ X14 @ X15 )
| ~ ( epred2_0 @ esk1_0 @ X16 )
| ~ ( epred1_0 @ X17 @ X15 )
| ~ ( epred1_0 @ X16 @ X3 )
| ~ ( epred2_0 @ X14 @ X17 ) ),
inference(spm,[status(thm)],[c_0_23,c_0_48]) ).
thf(c_0_50,negated_conjecture,
! [X15: $i,X14: $i,X3: $i,X16: $i] :
( ( epred1_0 @ esk1_0 @ esk3_0 )
| ( epred2_0 @ esk4_0 @ esk5_0 )
| ( epred1_0 @ esk1_0 @ X3 )
| ( epred1_0 @ X14 @ X15 )
| ~ ( epred1_0 @ esk2_0 @ X3 )
| ~ ( epred1_0 @ X16 @ X15 )
| ~ ( epred2_0 @ X14 @ X16 ) ),
inference(spm,[status(thm)],[c_0_49,c_0_41]) ).
thf(c_0_51,negated_conjecture,
! [X14: $i,X3: $i] :
( ( epred2_0 @ esk4_0 @ esk5_0 )
| ( epred1_0 @ esk1_0 @ esk3_0 )
| ( epred1_0 @ esk1_0 @ X3 )
| ( epred1_0 @ esk1_0 @ X14 )
| ~ ( epred1_0 @ esk2_0 @ X14 )
| ~ ( epred1_0 @ esk2_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_50,c_0_41]) ).
thf(c_0_52,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk1_0 @ esk3_0 )
| ( epred2_0 @ esk4_0 @ esk5_0 )
| ( epred1_0 @ esk1_0 @ X3 )
| ~ ( epred1_0 @ esk2_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_51,c_0_46]) ).
thf(c_0_53,negated_conjecture,
( ( epred2_0 @ esk4_0 @ esk5_0 )
| ( epred1_0 @ esk1_0 @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_52,c_0_46]) ).
thf(c_0_54,negated_conjecture,
! [X14: $i,X15: $i,X3: $i,X4: $i > $o,X16: $i] :
( ( epred1_0 @ X3 @ ( esk7_2 @ X3 @ X4 ) )
| ( epred1_0 @ esk1_0 @ esk3_0 )
| ( epred1_0 @ esk4_0 @ X14 )
| ( X4 @ X15 )
| ~ ( epred1_0 @ esk5_0 @ X14 )
| ~ ( epred1_0 @ X16 @ X15 )
| ~ ( epred2_0 @ X3 @ X16 ) ),
inference(spm,[status(thm)],[c_0_17,c_0_53]) ).
thf(c_0_55,negated_conjecture,
( ( epred2_0 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ esk4_0 @ esk6_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
thf(c_0_56,negated_conjecture,
! [X4: $i > $o,X3: $i,X14: $i] :
( ( epred1_0 @ esk4_0 @ ( esk7_2 @ esk4_0 @ X4 ) )
| ( epred1_0 @ esk1_0 @ esk3_0 )
| ( epred1_0 @ esk4_0 @ X3 )
| ( X4 @ X14 )
| ~ ( epred1_0 @ esk5_0 @ X3 )
| ~ ( epred1_0 @ esk5_0 @ X14 ) ),
inference(spm,[status(thm)],[c_0_54,c_0_53]) ).
thf(c_0_57,negated_conjecture,
! [X14: $i,X15: $i,X3: $i,X4: $i > $o,X16: $i] :
( ( epred1_0 @ X3 @ ( esk7_2 @ X3 @ X4 ) )
| ( epred1_0 @ esk1_0 @ X14 )
| ( X4 @ X15 )
| ~ ( epred1_0 @ esk4_0 @ esk6_0 )
| ~ ( epred1_0 @ esk2_0 @ X14 )
| ~ ( epred1_0 @ X16 @ X15 )
| ~ ( epred2_0 @ X3 @ X16 ) ),
inference(spm,[status(thm)],[c_0_17,c_0_55]) ).
thf(c_0_58,negated_conjecture,
! [X4: $i > $o,X3: $i] :
( ( epred1_0 @ esk4_0 @ ( esk7_2 @ esk4_0 @ X4 ) )
| ( epred1_0 @ esk1_0 @ esk3_0 )
| ( epred1_0 @ esk4_0 @ X3 )
| ( X4 @ esk6_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_56,c_0_35]) ).
thf(c_0_59,negated_conjecture,
! [X4: $i > $o,X3: $i,X14: $i] :
( ( epred1_0 @ esk4_0 @ ( esk7_2 @ esk4_0 @ X4 ) )
| ( epred1_0 @ esk1_0 @ esk3_0 )
| ( epred1_0 @ esk1_0 @ X3 )
| ( X4 @ X14 )
| ~ ( epred1_0 @ esk4_0 @ esk6_0 )
| ~ ( epred1_0 @ esk2_0 @ X3 )
| ~ ( epred1_0 @ esk5_0 @ X14 ) ),
inference(spm,[status(thm)],[c_0_57,c_0_53]) ).
thf(c_0_60,negated_conjecture,
! [X4: $i > $o] :
( ( epred1_0 @ esk4_0 @ ( esk7_2 @ esk4_0 @ X4 ) )
| ( epred1_0 @ esk4_0 @ esk6_0 )
| ( epred1_0 @ esk1_0 @ esk3_0 )
| ( X4 @ esk6_0 ) ),
inference(spm,[status(thm)],[c_0_58,c_0_35]) ).
thf(c_0_61,negated_conjecture,
! [X4: $i > $o,X3: $i] :
( ( epred1_0 @ esk4_0 @ ( esk7_2 @ esk4_0 @ X4 ) )
| ( epred1_0 @ esk1_0 @ esk3_0 )
| ( epred1_0 @ esk1_0 @ X3 )
| ( X4 @ esk6_0 )
| ~ ( epred1_0 @ esk2_0 @ X3 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_35]),c_0_60]) ).
thf(c_0_62,negated_conjecture,
! [X4: $i > $o] :
( ( epred1_0 @ esk4_0 @ ( esk7_2 @ esk4_0 @ X4 ) )
| ( epred1_0 @ esk1_0 @ esk3_0 )
| ( X4 @ esk6_0 ) ),
inference(spm,[status(thm)],[c_0_61,c_0_46]) ).
thf(c_0_63,negated_conjecture,
! [X15: $i,X14: $i,X16: $i,X3: $i,X17: $i] :
( ( epred1_0 @ esk4_0 @ esk6_0 )
| ( epred1_0 @ esk1_0 @ esk3_0 )
| ( epred1_0 @ esk4_0 @ X3 )
| ( epred1_0 @ X14 @ X15 )
| ~ ( epred2_0 @ esk4_0 @ X16 )
| ~ ( epred1_0 @ X17 @ X15 )
| ~ ( epred1_0 @ X16 @ X3 )
| ~ ( epred2_0 @ X14 @ X17 ) ),
inference(spm,[status(thm)],[c_0_23,c_0_62]) ).
thf(c_0_64,negated_conjecture,
! [X15: $i,X14: $i,X3: $i,X16: $i] :
( ( epred1_0 @ esk1_0 @ esk3_0 )
| ( epred1_0 @ esk4_0 @ esk6_0 )
| ( epred1_0 @ esk4_0 @ X3 )
| ( epred1_0 @ X14 @ X15 )
| ~ ( epred1_0 @ esk5_0 @ X3 )
| ~ ( epred1_0 @ X16 @ X15 )
| ~ ( epred2_0 @ X14 @ X16 ) ),
inference(spm,[status(thm)],[c_0_63,c_0_53]) ).
thf(c_0_65,negated_conjecture,
! [X14: $i,X3: $i] :
( ( epred1_0 @ esk4_0 @ esk6_0 )
| ( epred1_0 @ esk1_0 @ esk3_0 )
| ( epred1_0 @ esk4_0 @ X3 )
| ( epred1_0 @ esk4_0 @ X14 )
| ~ ( epred1_0 @ esk5_0 @ X14 )
| ~ ( epred1_0 @ esk5_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_64,c_0_53]) ).
thf(c_0_66,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk1_0 @ esk3_0 )
| ( epred1_0 @ esk4_0 @ esk6_0 )
| ( epred1_0 @ esk4_0 @ X3 )
| ~ ( epred1_0 @ esk5_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_65,c_0_35]) ).
thf(c_0_67,negated_conjecture,
! [X3: $i] :
( ( epred2_0 @ esk4_0 @ esk5_0 )
| ( epred3_0 @ X3 )
| ~ ( epred1_0 @ esk1_0 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
thf(c_0_68,negated_conjecture,
( ( epred1_0 @ esk4_0 @ esk6_0 )
| ( epred1_0 @ esk1_0 @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_66,c_0_35]) ).
thf(c_0_69,negated_conjecture,
( ( epred2_0 @ esk4_0 @ esk5_0 )
| ~ ( epred3_0 @ esk3_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
thf(c_0_70,negated_conjecture,
( ( epred1_0 @ esk4_0 @ esk6_0 )
| ( epred2_0 @ esk4_0 @ esk5_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_69]) ).
thf(c_0_71,negated_conjecture,
! [X14: $i,X15: $i,X3: $i,X4: $i > $o,X16: $i] :
( ( epred1_0 @ X3 @ ( esk7_2 @ X3 @ X4 ) )
| ( epred1_0 @ esk4_0 @ esk6_0 )
| ( epred1_0 @ esk4_0 @ X14 )
| ( X4 @ X15 )
| ~ ( epred1_0 @ esk5_0 @ X14 )
| ~ ( epred1_0 @ X16 @ X15 )
| ~ ( epred2_0 @ X3 @ X16 ) ),
inference(spm,[status(thm)],[c_0_17,c_0_70]) ).
thf(c_0_72,negated_conjecture,
! [X4: $i > $o,X3: $i,X14: $i] :
( ( epred1_0 @ esk4_0 @ ( esk7_2 @ esk4_0 @ X4 ) )
| ( epred1_0 @ esk4_0 @ esk6_0 )
| ( epred1_0 @ esk4_0 @ X3 )
| ( X4 @ X14 )
| ~ ( epred1_0 @ esk5_0 @ X3 )
| ~ ( epred1_0 @ esk5_0 @ X14 ) ),
inference(spm,[status(thm)],[c_0_71,c_0_70]) ).
thf(c_0_73,negated_conjecture,
! [X4: $i > $o,X3: $i] :
( ( epred1_0 @ esk4_0 @ ( esk7_2 @ esk4_0 @ X4 ) )
| ( epred1_0 @ esk4_0 @ esk6_0 )
| ( epred1_0 @ esk4_0 @ X3 )
| ( X4 @ esk6_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_72,c_0_35]) ).
thf(c_0_74,negated_conjecture,
! [X4: $i > $o] :
( ( epred1_0 @ esk4_0 @ ( esk7_2 @ esk4_0 @ X4 ) )
| ( epred1_0 @ esk4_0 @ esk6_0 )
| ( X4 @ esk6_0 ) ),
inference(spm,[status(thm)],[c_0_73,c_0_35]) ).
thf(c_0_75,negated_conjecture,
! [X15: $i,X14: $i,X16: $i,X3: $i,X17: $i] :
( ( epred1_0 @ esk4_0 @ esk6_0 )
| ( epred1_0 @ esk4_0 @ X3 )
| ( epred1_0 @ X14 @ X15 )
| ~ ( epred2_0 @ esk4_0 @ X16 )
| ~ ( epred1_0 @ X17 @ X15 )
| ~ ( epred1_0 @ X16 @ X3 )
| ~ ( epred2_0 @ X14 @ X17 ) ),
inference(spm,[status(thm)],[c_0_23,c_0_74]) ).
thf(c_0_76,negated_conjecture,
! [X15: $i,X14: $i,X3: $i,X16: $i] :
( ( epred1_0 @ esk4_0 @ esk6_0 )
| ( epred1_0 @ esk4_0 @ X3 )
| ( epred1_0 @ X14 @ X15 )
| ~ ( epred1_0 @ esk5_0 @ X3 )
| ~ ( epred1_0 @ X16 @ X15 )
| ~ ( epred2_0 @ X14 @ X16 ) ),
inference(spm,[status(thm)],[c_0_75,c_0_70]) ).
thf(c_0_77,negated_conjecture,
! [X14: $i,X3: $i] :
( ( epred1_0 @ esk4_0 @ esk6_0 )
| ( epred1_0 @ esk4_0 @ X3 )
| ( epred1_0 @ esk4_0 @ X14 )
| ~ ( epred1_0 @ esk5_0 @ X14 )
| ~ ( epred1_0 @ esk5_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_76,c_0_70]) ).
thf(c_0_78,negated_conjecture,
! [X4: $i > $o,X3: $i,X14: $i] :
( ( epred1_0 @ esk1_0 @ ( esk7_2 @ esk1_0 @ X4 ) )
| ( epred1_0 @ esk1_0 @ X3 )
| ( X4 @ X14 )
| ~ ( epred1_0 @ esk4_0 @ esk6_0 )
| ~ ( epred1_0 @ esk2_0 @ X3 )
| ~ ( epred1_0 @ esk2_0 @ X14 ) ),
inference(spm,[status(thm)],[c_0_57,c_0_55]) ).
thf(c_0_79,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk4_0 @ esk6_0 )
| ( epred1_0 @ esk4_0 @ X3 )
| ~ ( epred1_0 @ esk5_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_77,c_0_35]) ).
thf(c_0_80,negated_conjecture,
! [X4: $i > $o,X3: $i] :
( ( epred1_0 @ esk1_0 @ ( esk7_2 @ esk1_0 @ X4 ) )
| ( epred1_0 @ esk1_0 @ X3 )
| ( X4 @ esk3_0 )
| ~ ( epred1_0 @ esk4_0 @ esk6_0 )
| ~ ( epred1_0 @ esk2_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_78,c_0_37]) ).
thf(c_0_81,negated_conjecture,
epred1_0 @ esk4_0 @ esk6_0,
inference(spm,[status(thm)],[c_0_79,c_0_35]) ).
thf(c_0_82,negated_conjecture,
! [X4: $i > $o,X3: $i] :
( ( epred1_0 @ esk1_0 @ ( esk7_2 @ esk1_0 @ X4 ) )
| ( epred1_0 @ esk1_0 @ X3 )
| ( X4 @ esk3_0 )
| ~ ( epred1_0 @ esk2_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_80,c_0_81])]) ).
thf(c_0_83,negated_conjecture,
! [X4: $i > $o] :
( ( epred1_0 @ esk1_0 @ ( esk7_2 @ esk1_0 @ X4 ) )
| ( epred1_0 @ esk1_0 @ esk3_0 )
| ( X4 @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_82,c_0_46]) ).
thf(c_0_84,negated_conjecture,
! [X15: $i,X14: $i,X16: $i,X3: $i,X17: $i] :
( ( epred1_0 @ esk1_0 @ esk3_0 )
| ( epred1_0 @ esk1_0 @ X3 )
| ( epred1_0 @ X14 @ X15 )
| ~ ( epred2_0 @ esk1_0 @ X16 )
| ~ ( epred1_0 @ X17 @ X15 )
| ~ ( epred1_0 @ X16 @ X3 )
| ~ ( epred2_0 @ X14 @ X17 ) ),
inference(spm,[status(thm)],[c_0_23,c_0_83]) ).
thf(c_0_85,negated_conjecture,
epred2_0 @ esk1_0 @ esk2_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_55,c_0_81])]) ).
thf(c_0_86,negated_conjecture,
! [X15: $i,X14: $i,X3: $i,X16: $i] :
( ( epred1_0 @ esk1_0 @ esk3_0 )
| ( epred1_0 @ esk1_0 @ X3 )
| ( epred1_0 @ X14 @ X15 )
| ~ ( epred1_0 @ esk2_0 @ X3 )
| ~ ( epred1_0 @ X16 @ X15 )
| ~ ( epred2_0 @ X14 @ X16 ) ),
inference(spm,[status(thm)],[c_0_84,c_0_85]) ).
thf(c_0_87,negated_conjecture,
! [X14: $i,X3: $i] :
( ( epred1_0 @ esk1_0 @ esk3_0 )
| ( epred1_0 @ esk1_0 @ X3 )
| ( epred1_0 @ esk1_0 @ X14 )
| ~ ( epred1_0 @ esk2_0 @ X14 )
| ~ ( epred1_0 @ esk2_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_86,c_0_85]) ).
thf(c_0_88,negated_conjecture,
! [X3: $i] :
( ( epred3_0 @ X3 )
| ~ ( epred1_0 @ esk4_0 @ esk6_0 )
| ~ ( epred1_0 @ esk1_0 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
thf(c_0_89,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk1_0 @ esk3_0 )
| ( epred1_0 @ esk1_0 @ X3 )
| ~ ( epred1_0 @ esk2_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_87,c_0_46]) ).
thf(c_0_90,negated_conjecture,
( ~ ( epred1_0 @ esk4_0 @ esk6_0 )
| ~ ( epred3_0 @ esk3_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
thf(c_0_91,negated_conjecture,
! [X3: $i] :
( ( epred3_0 @ X3 )
| ~ ( epred1_0 @ esk1_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_88,c_0_81])]) ).
thf(c_0_92,negated_conjecture,
epred1_0 @ esk1_0 @ esk3_0,
inference(spm,[status(thm)],[c_0_89,c_0_46]) ).
thf(c_0_93,negated_conjecture,
~ ( epred3_0 @ esk3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_90,c_0_81])]) ).
thf(c_0_94,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_93]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL879^1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.17 % Computer : n009.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 10:23:30 UTC 2026
% 0.10/0.18 % CPUTime :
% 0.10/0.18 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.22 Running higher-order theorem proving
% 0.10/0.23 Running: /export/starexec/sandbox2/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.7ownqsElAW/E---3.1_3818957.p
% 0.10/0.26 % Version: 3.5.1-ho
% 0.10/0.26 % Preprocessing class: HSMSSMSSMLMNHHA.
% 0.10/0.26 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.10/0.26 % Starting new_ho_10 with 1500s (5) cores
% 0.10/0.26 % Starting sh5l with 300s (1) cores
% 0.10/0.26 % Starting new_bool_2 with 300s (1) cores
% 0.10/0.26 % Starting new_bool_9 with 300s (1) cores
% 0.10/0.26 % new_bool_2 with pid 3818972 completed with status 0
% 0.10/0.26 % Result found by new_bool_2
% 0.10/0.26 % Preprocessing class: HSMSSMSSMLMNHHA.
% 0.10/0.26 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.10/0.26 % Starting new_ho_10 with 1500s (5) cores
% 0.10/0.26 % Starting sh5l with 300s (1) cores
% 0.10/0.26 % Starting new_bool_2 with 300s (1) cores
% 0.10/0.26 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.10/0.26 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.10/0.26 % Search class: HGHNF-FFSS22-SHHSMSBN
% 0.10/0.26 % partial match(2): HGUNF-FFSS22-SHSSMSBN
% 0.10/0.26 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.10/0.26 % Starting SubtermCWHack with 28s (1) cores
% 0.10/0.26 % SubtermCWHack with pid 3818975 completed with status 0
% 0.10/0.26 % Result found by SubtermCWHack
% 0.10/0.26 % Preprocessing class: HSMSSMSSMLMNHHA.
% 0.10/0.26 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.10/0.26 % Starting new_ho_10 with 1500s (5) cores
% 0.10/0.26 % Starting sh5l with 300s (1) cores
% 0.10/0.26 % Starting new_bool_2 with 300s (1) cores
% 0.10/0.26 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.10/0.26 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.10/0.26 % Search class: HGHNF-FFSS22-SHHSMSBN
% 0.10/0.26 % partial match(2): HGUNF-FFSS22-SHSSMSBN
% 0.10/0.26 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.10/0.26 % Starting SubtermCWHack with 28s (1) cores
% 0.10/0.26 % Preprocessing time : 0.001 s
% 0.10/0.26
% 0.10/0.26 % Proof found!
% 0.10/0.26 % SZS status Theorem
% 0.10/0.26 % SZS output start CNFRefutation
% See solution above
% 0.10/0.26 % Parsed axioms : 64
% 0.10/0.26 % Removed by relevancy pruning/SinE : 55
% 0.10/0.26 % Initial clauses : 14
% 0.10/0.26 % Removed in clause preprocessing : 0
% 0.10/0.26 % Initial clauses in saturation : 14
% 0.10/0.26 % Processed clauses : 138
% 0.10/0.26 % ...of these trivial : 0
% 0.10/0.26 % ...subsumed : 47
% 0.10/0.26 % ...remaining for further processing : 91
% 0.10/0.26 % Other redundant clauses eliminated : 0
% 0.10/0.26 % Clauses deleted for lack of memory : 0
% 0.10/0.26 % Backward-subsumed : 47
% 0.10/0.26 % Backward-rewritten : 32
% 0.10/0.26 % Generated clauses : 154
% 0.10/0.26 % ...of the previous two non-redundant : 156
% 0.10/0.26 % ...aggressively subsumed : 0
% 0.10/0.26 % Contextual simplify-reflections : 7
% 0.10/0.26 % Paramodulations : 154
% 0.10/0.26 % Factorizations : 0
% 0.10/0.26 % NegExts : 0
% 0.10/0.26 % Equation resolutions : 0
% 0.10/0.26 % Disequality decompositions : 0
% 0.10/0.26 % Total rewrite steps : 33
% 0.10/0.26 % ...of those cached : 28
% 0.10/0.26 % Propositional unsat checks : 0
% 0.10/0.26 % Propositional check models : 0
% 0.10/0.26 % Propositional check unsatisfiable : 0
% 0.10/0.26 % Propositional clauses : 0
% 0.10/0.26 % Propositional clauses after purity: 0
% 0.10/0.26 % Propositional unsat core size : 0
% 0.10/0.26 % Propositional preprocessing time : 0.000
% 0.10/0.26 % Propositional encoding time : 0.000
% 0.10/0.26 % Propositional solver time : 0.000
% 0.10/0.26 % Success case prop preproc time : 0.000
% 0.10/0.26 % Success case prop encoding time : 0.000
% 0.10/0.26 % Success case prop solver time : 0.000
% 0.10/0.26 % Current number of processed clauses : 12
% 0.10/0.26 % Positive orientable unit clauses : 5
% 0.10/0.26 % Positive unorientable unit clauses: 0
% 0.10/0.26 % Negative unit clauses : 1
% 0.10/0.26 % Non-unit-clauses : 6
% 0.10/0.26 % Current number of unprocessed clauses: 1
% 0.10/0.26 % ...number of literals in the above : 7
% 0.10/0.26 % Current number of archived formulas : 0
% 0.10/0.26 % Current number of archived clauses : 79
% 0.10/0.26 % Clause-clause subsumption calls (NU) : 537
% 0.10/0.26 % Rec. Clause-clause subsumption calls : 147
% 0.10/0.26 % Non-unit clause-clause subsumptions : 94
% 0.10/0.26 % Unit Clause-clause subsumption calls : 18
% 0.10/0.26 % Rewrite failures with RHS unbound : 0
% 0.10/0.26 % BW rewrite match attempts : 5
% 0.10/0.26 % BW rewrite match successes : 5
% 0.10/0.26 % Condensation attempts : 0
% 0.10/0.26 % Condensation successes : 0
% 0.10/0.26 % Termbank termtop insertions : 7301
% 0.10/0.26 % Search garbage collected termcells : 690
% 0.10/0.26
% 0.10/0.26 % -------------------------------------------------
% 0.10/0.26 % User time : 0.012 s
% 0.10/0.26 % System time : 0.002 s
% 0.10/0.26 % Total time : 0.013 s
% 0.10/0.26 % Maximum resident set size: 3696 pages
% 0.10/0.26
% 0.10/0.26 % -------------------------------------------------
% 0.10/0.26 % User time : 0.012 s
% 0.10/0.26 % System time : 0.006 s
% 0.10/0.26 % Total time : 0.018 s
% 0.10/0.26 % Maximum resident set size: 4864 pages
% 0.10/0.26 % E exiting
%------------------------------------------------------------------------------