TSTP Solution File: SET575^7 by E---3.1.00
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%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : SET575^7 : TPTP v8.1.2. Released v5.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n032.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat May 4 09:19:00 EDT 2024
% Result : Theorem 1.10s 0.61s
% Output : CNFRefutation 1.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 37
% Syntax : Number of formulae : 97 ( 26 unt; 26 typ; 0 def)
% Number of atoms : 381 ( 19 equ; 0 cnn)
% Maximal formula atoms : 56 ( 5 avg)
% Number of connectives : 1636 ( 234 ~; 216 |; 18 &;1153 @)
% ( 1 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 29 ( 9 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 96 ( 96 >; 0 *; 0 +; 0 <<)
% Number of symbols : 27 ( 25 usr; 7 con; 0-5 aty)
% Number of variables : 196 ( 49 ^ 147 !; 0 ?; 196 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
mu: $tType ).
thf(decl_24,type,
mnot: ( $i > $o ) > $i > $o ).
thf(decl_25,type,
mor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(decl_30,type,
mand: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(decl_31,type,
mimplies: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(decl_36,type,
exists_in_world: mu > $i > $o ).
thf(decl_37,type,
mforall_ind: ( mu > $i > $o ) > $i > $o ).
thf(decl_38,type,
mexists_ind: ( mu > $i > $o ) > $i > $o ).
thf(decl_50,type,
mvalid: ( $i > $o ) > $o ).
thf(decl_54,type,
rel_s4: $i > $i > $o ).
thf(decl_55,type,
mbox_s4: ( $i > $o ) > $i > $o ).
thf(decl_57,type,
member: mu > mu > $i > $o ).
thf(decl_58,type,
intersect: mu > mu > $i > $o ).
thf(decl_59,type,
epred1_3: mu > $i > mu > $o ).
thf(decl_60,type,
esk1_0: $i ).
thf(decl_61,type,
esk2_0: $i ).
thf(decl_62,type,
esk3_0: mu ).
thf(decl_63,type,
esk4_0: $i ).
thf(decl_64,type,
esk5_0: mu ).
thf(decl_65,type,
esk6_0: $i ).
thf(decl_66,type,
esk7_1: mu > $i ).
thf(decl_67,type,
esk8_1: mu > $i ).
thf(decl_70,type,
esk11_4: mu > $i > mu > $i > $i ).
thf(decl_71,type,
esk12_4: mu > $i > mu > $i > mu ).
thf(decl_72,type,
esk13_5: mu > $i > mu > $i > mu > $i ).
thf(decl_73,type,
esk14_5: mu > $i > mu > $i > mu > $i ).
thf(mand,axiom,
( mand
= ( ^ [X4: $i > $o,X5: $i > $o] : ( mnot @ ( mor @ ( mnot @ X4 ) @ ( mnot @ X5 ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.opXLc3IpM7/E---3.1_31185.p',mand) ).
thf(mnot,axiom,
( mnot
= ( ^ [X4: $i > $o,X3: $i] :
~ ( X4 @ X3 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.opXLc3IpM7/E---3.1_31185.p',mnot) ).
thf(mor,axiom,
( mor
= ( ^ [X4: $i > $o,X5: $i > $o,X3: $i] :
( ( X4 @ X3 )
| ( X5 @ X3 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.opXLc3IpM7/E---3.1_31185.p',mor) ).
thf(mexists_ind,axiom,
( mexists_ind
= ( ^ [X13: mu > $i > $o] :
( mnot
@ ( mforall_ind
@ ^ [X14: mu] : ( mnot @ ( X13 @ X14 ) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.opXLc3IpM7/E---3.1_31185.p',mexists_ind) ).
thf(mforall_ind,axiom,
( mforall_ind
= ( ^ [X11: mu > $i > $o,X3: $i] :
! [X12: mu] :
( ( exists_in_world @ X12 @ X3 )
=> ( X11 @ X12 @ X3 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.opXLc3IpM7/E---3.1_31185.p',mforall_ind) ).
thf(mimplies,axiom,
( mimplies
= ( ^ [X4: $i > $o,X5: $i > $o] : ( mor @ ( mnot @ X4 ) @ X5 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.opXLc3IpM7/E---3.1_31185.p',mimplies) ).
thf(mvalid,axiom,
( mvalid
= ( ^ [X4: $i > $o] :
! [X3: $i] : ( X4 @ X3 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.opXLc3IpM7/E---3.1_31185.p',mvalid) ).
thf(mbox_s4,axiom,
( mbox_s4
= ( ^ [X4: $i > $o,X3: $i] :
! [X7: $i] :
( ~ ( rel_s4 @ X3 @ X7 )
| ( X4 @ X7 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.opXLc3IpM7/E---3.1_31185.p',mbox_s4) ).
thf(intersect_defn,axiom,
( mvalid
@ ( mbox_s4
@ ( mforall_ind
@ ^ [X20: mu] :
( mbox_s4
@ ( mforall_ind
@ ^ [X21: mu] :
( mand
@ ( mbox_s4
@ ( mimplies @ ( mbox_s4 @ ( intersect @ X20 @ X21 ) )
@ ( mexists_ind
@ ^ [X22: mu] : ( mand @ ( mbox_s4 @ ( member @ X22 @ X20 ) ) @ ( mbox_s4 @ ( member @ X22 @ X21 ) ) ) ) ) )
@ ( mbox_s4
@ ( mimplies
@ ( mexists_ind
@ ^ [X22: mu] : ( mand @ ( mbox_s4 @ ( member @ X22 @ X20 ) ) @ ( mbox_s4 @ ( member @ X22 @ X21 ) ) ) )
@ ( mbox_s4 @ ( intersect @ X20 @ X21 ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.opXLc3IpM7/E---3.1_31185.p',intersect_defn) ).
thf(prove_th15,conjecture,
( mvalid
@ ( mbox_s4
@ ( mforall_ind
@ ^ [X20: mu] :
( mbox_s4
@ ( mforall_ind
@ ^ [X21: mu] :
( mbox_s4
@ ( mimplies @ ( mbox_s4 @ ( intersect @ X20 @ X21 ) )
@ ( mexists_ind
@ ^ [X22: mu] : ( mand @ ( mbox_s4 @ ( member @ X22 @ X20 ) ) @ ( mbox_s4 @ ( member @ X22 @ X21 ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.opXLc3IpM7/E---3.1_31185.p',prove_th15) ).
thf(c_0_10,plain,
( mand
= ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
~ ( ~ ( Z0 @ Z2 )
| ~ ( Z1 @ Z2 ) ) ) ),
inference(fof_simplification,[status(thm)],[mand]) ).
thf(c_0_11,plain,
( mnot
= ( ^ [Z0: $i > $o,Z1: $i] :
~ ( Z0 @ Z1 ) ) ),
inference(fof_simplification,[status(thm)],[mnot]) ).
thf(c_0_12,plain,
( mor
= ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
( ( Z0 @ Z2 )
| ( Z1 @ Z2 ) ) ) ),
inference(fof_simplification,[status(thm)],[mor]) ).
thf(c_0_13,plain,
( mexists_ind
= ( ^ [Z0: mu > $i > $o,Z1: $i] :
~ ! [X28: mu] :
( ( exists_in_world @ X28 @ Z1 )
=> ~ ( Z0 @ X28 @ Z1 ) ) ) ),
inference(fof_simplification,[status(thm)],[mexists_ind]) ).
thf(c_0_14,plain,
( mforall_ind
= ( ^ [Z0: mu > $i > $o,Z1: $i] :
! [X12: mu] :
( ( exists_in_world @ X12 @ Z1 )
=> ( Z0 @ X12 @ Z1 ) ) ) ),
inference(fof_simplification,[status(thm)],[mforall_ind]) ).
thf(c_0_15,plain,
( mimplies
= ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
( ~ ( Z0 @ Z2 )
| ( Z1 @ Z2 ) ) ) ),
inference(fof_simplification,[status(thm)],[mimplies]) ).
thf(c_0_16,plain,
( mvalid
= ( ^ [Z0: $i > $o] :
! [X3: $i] : ( Z0 @ X3 ) ) ),
inference(fof_simplification,[status(thm)],[mvalid]) ).
thf(c_0_17,plain,
( mand
= ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
~ ( ~ ( Z0 @ Z2 )
| ~ ( Z1 @ Z2 ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_10,c_0_11]),c_0_12]) ).
thf(c_0_18,plain,
( mexists_ind
= ( ^ [Z0: mu > $i > $o,Z1: $i] :
~ ! [X28: mu] :
( ( exists_in_world @ X28 @ Z1 )
=> ~ ( Z0 @ X28 @ Z1 ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_13,c_0_14]),c_0_11]) ).
thf(c_0_19,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_15,c_0_11]),c_0_12]) ).
thf(c_0_20,plain,
( mbox_s4
= ( ^ [Z0: $i > $o,Z1: $i] :
! [X7: $i] :
( ~ ( rel_s4 @ Z1 @ X7 )
| ( Z0 @ X7 ) ) ) ),
inference(fof_simplification,[status(thm)],[mbox_s4]) ).
thf(c_0_21,plain,
! [X59: mu,X58: $i,X57: mu] :
( ( epred1_3 @ X57 @ X58 @ X59 )
<=> ~ ( ~ ! [X51: $i] :
( ~ ( rel_s4 @ X58 @ X51 )
| ~ ! [X47: $i] :
( ~ ( rel_s4 @ X51 @ X47 )
| ( intersect @ X59 @ X57 @ X47 ) )
| ~ ! [X50: mu] :
( ( exists_in_world @ X50 @ X51 )
=> ~ ~ ( ~ ! [X48: $i] :
( ~ ( rel_s4 @ X51 @ X48 )
| ( member @ X50 @ X59 @ X48 ) )
| ~ ! [X49: $i] :
( ~ ( rel_s4 @ X51 @ X49 )
| ( member @ X50 @ X57 @ X49 ) ) ) ) )
| ~ ! [X56: $i] :
( ~ ( rel_s4 @ X58 @ X56 )
| ~ ~ ! [X54: mu] :
( ( exists_in_world @ X54 @ X56 )
=> ~ ~ ( ~ ! [X52: $i] :
( ~ ( rel_s4 @ X56 @ X52 )
| ( member @ X54 @ X59 @ X52 ) )
| ~ ! [X53: $i] :
( ~ ( rel_s4 @ X56 @ X53 )
| ( member @ X54 @ X57 @ X53 ) ) ) )
| ! [X55: $i] :
( ~ ( rel_s4 @ X56 @ X55 )
| ( intersect @ X59 @ X57 @ X55 ) ) ) ) ),
introduced(definition) ).
thf(c_0_22,plain,
! [X61: $i,X60: $i] :
( ~ ( rel_s4 @ X61 @ X60 )
| ! [X59: mu] :
( ( exists_in_world @ X59 @ X60 )
=> ! [X58: $i] :
( ~ ( rel_s4 @ X60 @ X58 )
| ! [X57: mu] :
( ( exists_in_world @ X57 @ X58 )
=> ( epred1_3 @ X57 @ X58 @ X59 ) ) ) ) ),
inference(apply_def,[status(thm)],[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(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[intersect_defn]),c_0_16]),c_0_14]),c_0_17]),c_0_18]),c_0_19]),c_0_20])]),c_0_21]) ).
thf(c_0_23,negated_conjecture,
~ ! [X38: $i,X37: $i] :
( ~ ( rel_s4 @ X38 @ X37 )
| ! [X36: mu] :
( ( exists_in_world @ X36 @ X37 )
=> ! [X35: $i] :
( ~ ( rel_s4 @ X37 @ X35 )
| ! [X34: mu] :
( ( exists_in_world @ X34 @ X35 )
=> ! [X33: $i] :
( ~ ( rel_s4 @ X35 @ X33 )
| ~ ! [X29: $i] :
( ~ ( rel_s4 @ X33 @ X29 )
| ( intersect @ X36 @ X34 @ X29 ) )
| ~ ! [X32: mu] :
( ( exists_in_world @ X32 @ X33 )
=> ~ ~ ( ~ ! [X30: $i] :
( ~ ( rel_s4 @ X33 @ X30 )
| ( member @ X32 @ X36 @ X30 ) )
| ~ ! [X31: $i] :
( ~ ( rel_s4 @ X33 @ X31 )
| ( member @ X32 @ X34 @ X31 ) ) ) ) ) ) ) ) ),
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(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[prove_th15])]),c_0_16]),c_0_14]),c_0_17]),c_0_18]),c_0_19]),c_0_20])]) ).
thf(c_0_24,plain,
! [X80: $i,X81: $i,X82: mu,X83: $i,X84: mu] :
( ~ ( rel_s4 @ X80 @ X81 )
| ~ ( exists_in_world @ X82 @ X81 )
| ~ ( rel_s4 @ X81 @ X83 )
| ~ ( exists_in_world @ X84 @ X83 )
| ( epred1_3 @ X84 @ X83 @ X82 ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_22])])]) ).
thf(c_0_25,negated_conjecture,
! [X68: $i,X69: mu] :
( ( rel_s4 @ esk1_0 @ esk2_0 )
& ( exists_in_world @ esk3_0 @ esk2_0 )
& ( rel_s4 @ esk2_0 @ esk4_0 )
& ( exists_in_world @ esk5_0 @ esk4_0 )
& ( rel_s4 @ esk4_0 @ esk6_0 )
& ( ~ ( rel_s4 @ esk6_0 @ X68 )
| ( intersect @ esk3_0 @ esk5_0 @ X68 ) )
& ( ( rel_s4 @ esk6_0 @ ( esk8_1 @ X69 ) )
| ( rel_s4 @ esk6_0 @ ( esk7_1 @ X69 ) )
| ~ ( exists_in_world @ X69 @ esk6_0 ) )
& ( ~ ( member @ X69 @ esk5_0 @ ( esk8_1 @ X69 ) )
| ( rel_s4 @ esk6_0 @ ( esk7_1 @ X69 ) )
| ~ ( exists_in_world @ X69 @ esk6_0 ) )
& ( ( rel_s4 @ esk6_0 @ ( esk8_1 @ X69 ) )
| ~ ( member @ X69 @ esk3_0 @ ( esk7_1 @ X69 ) )
| ~ ( exists_in_world @ X69 @ esk6_0 ) )
& ( ~ ( member @ X69 @ esk5_0 @ ( esk8_1 @ X69 ) )
| ~ ( member @ X69 @ esk3_0 @ ( esk7_1 @ X69 ) )
| ~ ( exists_in_world @ X69 @ esk6_0 ) ) ),
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_23])])])])]) ).
thf(c_0_26,plain,
! [X59: mu,X58: $i,X57: mu] :
( ( epred1_3 @ X57 @ X58 @ X59 )
=> ~ ( ~ ! [X51: $i] :
( ~ ( rel_s4 @ X58 @ X51 )
| ~ ! [X47: $i] :
( ~ ( rel_s4 @ X51 @ X47 )
| ( intersect @ X59 @ X57 @ X47 ) )
| ~ ! [X50: mu] :
( ( exists_in_world @ X50 @ X51 )
=> ~ ~ ( ~ ! [X48: $i] :
( ~ ( rel_s4 @ X51 @ X48 )
| ( member @ X50 @ X59 @ X48 ) )
| ~ ! [X49: $i] :
( ~ ( rel_s4 @ X51 @ X49 )
| ( member @ X50 @ X57 @ X49 ) ) ) ) )
| ~ ! [X56: $i] :
( ~ ( rel_s4 @ X58 @ X56 )
| ~ ~ ! [X54: mu] :
( ( exists_in_world @ X54 @ X56 )
=> ~ ~ ( ~ ! [X52: $i] :
( ~ ( rel_s4 @ X56 @ X52 )
| ( member @ X54 @ X59 @ X52 ) )
| ~ ! [X53: $i] :
( ~ ( rel_s4 @ X56 @ X53 )
| ( member @ X54 @ X57 @ X53 ) ) ) )
| ! [X55: $i] :
( ~ ( rel_s4 @ X56 @ X55 )
| ( intersect @ X59 @ X57 @ X55 ) ) ) ) ),
inference(split_equiv,[status(thm)],[c_0_21]) ).
thf(c_0_27,plain,
! [X7: $i,X10: mu,X12: mu,X3: $i,X16: $i] :
( ( epred1_3 @ X12 @ X16 @ X10 )
| ~ ( rel_s4 @ X3 @ X7 )
| ~ ( exists_in_world @ X10 @ X7 )
| ~ ( rel_s4 @ X7 @ X16 )
| ~ ( exists_in_world @ X12 @ X16 ) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
thf(c_0_28,negated_conjecture,
rel_s4 @ esk2_0 @ esk4_0,
inference(split_conjunct,[status(thm)],[c_0_25]) ).
thf(c_0_29,plain,
! [X90: mu,X91: $i,X92: mu,X93: $i,X96: $i,X97: $i,X98: $i,X99: mu,X102: $i] :
( ( ( exists_in_world @ ( esk12_4 @ X90 @ X91 @ X92 @ X93 ) @ X93 )
| ( rel_s4 @ X93 @ ( esk11_4 @ X90 @ X91 @ X92 @ X93 ) )
| ~ ( rel_s4 @ X91 @ X93 )
| ~ ( epred1_3 @ X92 @ X91 @ X90 ) )
& ( ~ ( rel_s4 @ X93 @ X96 )
| ( member @ ( esk12_4 @ X90 @ X91 @ X92 @ X93 ) @ X90 @ X96 )
| ( rel_s4 @ X93 @ ( esk11_4 @ X90 @ X91 @ X92 @ X93 ) )
| ~ ( rel_s4 @ X91 @ X93 )
| ~ ( epred1_3 @ X92 @ X91 @ X90 ) )
& ( ~ ( rel_s4 @ X93 @ X97 )
| ( member @ ( esk12_4 @ X90 @ X91 @ X92 @ X93 ) @ X92 @ X97 )
| ( rel_s4 @ X93 @ ( esk11_4 @ X90 @ X91 @ X92 @ X93 ) )
| ~ ( rel_s4 @ X91 @ X93 )
| ~ ( epred1_3 @ X92 @ X91 @ X90 ) )
& ( ( exists_in_world @ ( esk12_4 @ X90 @ X91 @ X92 @ X93 ) @ X93 )
| ~ ( intersect @ X90 @ X92 @ ( esk11_4 @ X90 @ X91 @ X92 @ X93 ) )
| ~ ( rel_s4 @ X91 @ X93 )
| ~ ( epred1_3 @ X92 @ X91 @ X90 ) )
& ( ~ ( rel_s4 @ X93 @ X96 )
| ( member @ ( esk12_4 @ X90 @ X91 @ X92 @ X93 ) @ X90 @ X96 )
| ~ ( intersect @ X90 @ X92 @ ( esk11_4 @ X90 @ X91 @ X92 @ X93 ) )
| ~ ( rel_s4 @ X91 @ X93 )
| ~ ( epred1_3 @ X92 @ X91 @ X90 ) )
& ( ~ ( rel_s4 @ X93 @ X97 )
| ( member @ ( esk12_4 @ X90 @ X91 @ X92 @ X93 ) @ X92 @ X97 )
| ~ ( intersect @ X90 @ X92 @ ( esk11_4 @ X90 @ X91 @ X92 @ X93 ) )
| ~ ( rel_s4 @ X91 @ X93 )
| ~ ( epred1_3 @ X92 @ X91 @ X90 ) )
& ( ( rel_s4 @ X98 @ ( esk14_5 @ X90 @ X91 @ X92 @ X98 @ X99 ) )
| ( rel_s4 @ X98 @ ( esk13_5 @ X90 @ X91 @ X92 @ X98 @ X99 ) )
| ~ ( exists_in_world @ X99 @ X98 )
| ~ ( rel_s4 @ X98 @ X102 )
| ( intersect @ X90 @ X92 @ X102 )
| ~ ( rel_s4 @ X91 @ X98 )
| ~ ( epred1_3 @ X92 @ X91 @ X90 ) )
& ( ~ ( member @ X99 @ X92 @ ( esk14_5 @ X90 @ X91 @ X92 @ X98 @ X99 ) )
| ( rel_s4 @ X98 @ ( esk13_5 @ X90 @ X91 @ X92 @ X98 @ X99 ) )
| ~ ( exists_in_world @ X99 @ X98 )
| ~ ( rel_s4 @ X98 @ X102 )
| ( intersect @ X90 @ X92 @ X102 )
| ~ ( rel_s4 @ X91 @ X98 )
| ~ ( epred1_3 @ X92 @ X91 @ X90 ) )
& ( ( rel_s4 @ X98 @ ( esk14_5 @ X90 @ X91 @ X92 @ X98 @ X99 ) )
| ~ ( member @ X99 @ X90 @ ( esk13_5 @ X90 @ X91 @ X92 @ X98 @ X99 ) )
| ~ ( exists_in_world @ X99 @ X98 )
| ~ ( rel_s4 @ X98 @ X102 )
| ( intersect @ X90 @ X92 @ X102 )
| ~ ( rel_s4 @ X91 @ X98 )
| ~ ( epred1_3 @ X92 @ X91 @ X90 ) )
& ( ~ ( member @ X99 @ X92 @ ( esk14_5 @ X90 @ X91 @ X92 @ X98 @ X99 ) )
| ~ ( member @ X99 @ X90 @ ( esk13_5 @ X90 @ X91 @ X92 @ X98 @ X99 ) )
| ~ ( exists_in_world @ X99 @ X98 )
| ~ ( rel_s4 @ X98 @ X102 )
| ( intersect @ X90 @ X92 @ X102 )
| ~ ( rel_s4 @ X91 @ X98 )
| ~ ( epred1_3 @ X92 @ X91 @ X90 ) ) ),
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_26])])])])]) ).
thf(c_0_30,negated_conjecture,
! [X3: $i,X10: mu,X12: mu] :
( ( epred1_3 @ X10 @ esk4_0 @ X12 )
| ~ ( rel_s4 @ X3 @ esk2_0 )
| ~ ( exists_in_world @ X10 @ esk4_0 )
| ~ ( exists_in_world @ X12 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
thf(c_0_31,negated_conjecture,
rel_s4 @ esk1_0 @ esk2_0,
inference(split_conjunct,[status(thm)],[c_0_25]) ).
thf(c_0_32,plain,
! [X3: $i,X16: $i,X7: $i,X12: mu,X10: mu] :
( ( member @ ( esk12_4 @ X10 @ X16 @ X12 @ X3 ) @ X10 @ X7 )
| ( rel_s4 @ X3 @ ( esk11_4 @ X10 @ X16 @ X12 @ X3 ) )
| ~ ( rel_s4 @ X3 @ X7 )
| ~ ( rel_s4 @ X16 @ X3 )
| ~ ( epred1_3 @ X12 @ X16 @ X10 ) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
thf(c_0_33,negated_conjecture,
! [X10: mu,X12: mu] :
( ( epred1_3 @ X10 @ esk4_0 @ X12 )
| ~ ( exists_in_world @ X10 @ esk4_0 )
| ~ ( exists_in_world @ X12 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
thf(c_0_34,plain,
! [X3: $i,X12: mu,X10: mu,X7: $i] :
( ( member @ ( esk12_4 @ X10 @ esk4_0 @ X12 @ X3 ) @ X10 @ X7 )
| ( rel_s4 @ X3 @ ( esk11_4 @ X10 @ esk4_0 @ X12 @ X3 ) )
| ~ ( rel_s4 @ esk4_0 @ X3 )
| ~ ( exists_in_world @ X12 @ esk4_0 )
| ~ ( exists_in_world @ X10 @ esk2_0 )
| ~ ( rel_s4 @ X3 @ X7 ) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
thf(c_0_35,negated_conjecture,
exists_in_world @ esk5_0 @ esk4_0,
inference(split_conjunct,[status(thm)],[c_0_25]) ).
thf(c_0_36,plain,
! [X3: $i,X16: $i,X7: $i,X12: mu,X10: mu] :
( ( member @ ( esk12_4 @ X10 @ X16 @ X12 @ X3 ) @ X12 @ X7 )
| ( rel_s4 @ X3 @ ( esk11_4 @ X10 @ X16 @ X12 @ X3 ) )
| ~ ( rel_s4 @ X3 @ X7 )
| ~ ( rel_s4 @ X16 @ X3 )
| ~ ( epred1_3 @ X12 @ X16 @ X10 ) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
thf(c_0_37,plain,
! [X3: $i,X16: $i,X7: $i,X12: mu,X10: mu] :
( ( member @ ( esk12_4 @ X10 @ X16 @ X12 @ X3 ) @ X12 @ X7 )
| ~ ( rel_s4 @ X3 @ X7 )
| ~ ( intersect @ X10 @ X12 @ ( esk11_4 @ X10 @ X16 @ X12 @ X3 ) )
| ~ ( rel_s4 @ X16 @ X3 )
| ~ ( epred1_3 @ X12 @ X16 @ X10 ) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
thf(c_0_38,negated_conjecture,
! [X3: $i] :
( ( intersect @ esk3_0 @ esk5_0 @ X3 )
| ~ ( rel_s4 @ esk6_0 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
thf(c_0_39,negated_conjecture,
! [X3: $i,X10: mu,X7: $i] :
( ( member @ ( esk12_4 @ X10 @ esk4_0 @ esk5_0 @ X3 ) @ X10 @ X7 )
| ( rel_s4 @ X3 @ ( esk11_4 @ X10 @ esk4_0 @ esk5_0 @ X3 ) )
| ~ ( rel_s4 @ esk4_0 @ X3 )
| ~ ( exists_in_world @ X10 @ esk2_0 )
| ~ ( rel_s4 @ X3 @ X7 ) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
thf(c_0_40,negated_conjecture,
exists_in_world @ esk3_0 @ esk2_0,
inference(split_conjunct,[status(thm)],[c_0_25]) ).
thf(c_0_41,plain,
! [X3: $i,X12: mu,X10: mu,X7: $i] :
( ( member @ ( esk12_4 @ X10 @ esk4_0 @ X12 @ X3 ) @ X12 @ X7 )
| ( rel_s4 @ X3 @ ( esk11_4 @ X10 @ esk4_0 @ X12 @ X3 ) )
| ~ ( rel_s4 @ esk4_0 @ X3 )
| ~ ( exists_in_world @ X12 @ esk4_0 )
| ~ ( exists_in_world @ X10 @ esk2_0 )
| ~ ( rel_s4 @ X3 @ X7 ) ),
inference(spm,[status(thm)],[c_0_36,c_0_33]) ).
thf(c_0_42,plain,
! [X3: $i,X16: $i,X7: $i,X12: mu,X10: mu] :
( ( member @ ( esk12_4 @ X10 @ X16 @ X12 @ X3 ) @ X10 @ X7 )
| ~ ( rel_s4 @ X3 @ X7 )
| ~ ( intersect @ X10 @ X12 @ ( esk11_4 @ X10 @ X16 @ X12 @ X3 ) )
| ~ ( rel_s4 @ X16 @ X3 )
| ~ ( epred1_3 @ X12 @ X16 @ X10 ) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
thf(c_0_43,negated_conjecture,
! [X10: mu] :
( ( rel_s4 @ esk6_0 @ ( esk7_1 @ X10 ) )
| ~ ( member @ X10 @ esk5_0 @ ( esk8_1 @ X10 ) )
| ~ ( exists_in_world @ X10 @ esk6_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
thf(c_0_44,negated_conjecture,
! [X7: $i,X3: $i,X16: $i] :
( ( member @ ( esk12_4 @ esk3_0 @ X3 @ esk5_0 @ X7 ) @ esk5_0 @ X16 )
| ~ ( rel_s4 @ esk6_0 @ ( esk11_4 @ esk3_0 @ X3 @ esk5_0 @ X7 ) )
| ~ ( epred1_3 @ esk5_0 @ X3 @ esk3_0 )
| ~ ( rel_s4 @ X3 @ X7 )
| ~ ( rel_s4 @ X7 @ X16 ) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
thf(c_0_45,plain,
! [X3: $i,X7: $i,X12: mu,X10: mu] :
( ( exists_in_world @ ( esk12_4 @ X10 @ X3 @ X12 @ X7 ) @ X7 )
| ~ ( intersect @ X10 @ X12 @ ( esk11_4 @ X10 @ X3 @ X12 @ X7 ) )
| ~ ( rel_s4 @ X3 @ X7 )
| ~ ( epred1_3 @ X12 @ X3 @ X10 ) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
thf(c_0_46,negated_conjecture,
! [X3: $i,X7: $i] :
( ( member @ ( esk12_4 @ esk3_0 @ esk4_0 @ esk5_0 @ X3 ) @ esk3_0 @ X7 )
| ( rel_s4 @ X3 @ ( esk11_4 @ esk3_0 @ esk4_0 @ esk5_0 @ X3 ) )
| ~ ( rel_s4 @ esk4_0 @ X3 )
| ~ ( rel_s4 @ X3 @ X7 ) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
thf(c_0_47,negated_conjecture,
rel_s4 @ esk4_0 @ esk6_0,
inference(split_conjunct,[status(thm)],[c_0_25]) ).
thf(c_0_48,negated_conjecture,
! [X3: $i,X10: mu,X7: $i] :
( ( member @ ( esk12_4 @ X10 @ esk4_0 @ esk5_0 @ X3 ) @ esk5_0 @ X7 )
| ( rel_s4 @ X3 @ ( esk11_4 @ X10 @ esk4_0 @ esk5_0 @ X3 ) )
| ~ ( rel_s4 @ esk4_0 @ X3 )
| ~ ( exists_in_world @ X10 @ esk2_0 )
| ~ ( rel_s4 @ X3 @ X7 ) ),
inference(spm,[status(thm)],[c_0_41,c_0_35]) ).
thf(c_0_49,negated_conjecture,
! [X10: mu] :
( ~ ( member @ X10 @ esk5_0 @ ( esk8_1 @ X10 ) )
| ~ ( member @ X10 @ esk3_0 @ ( esk7_1 @ X10 ) )
| ~ ( exists_in_world @ X10 @ esk6_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
thf(c_0_50,negated_conjecture,
! [X7: $i,X3: $i,X16: $i] :
( ( member @ ( esk12_4 @ esk3_0 @ X3 @ esk5_0 @ X7 ) @ esk3_0 @ X16 )
| ~ ( rel_s4 @ esk6_0 @ ( esk11_4 @ esk3_0 @ X3 @ esk5_0 @ X7 ) )
| ~ ( epred1_3 @ esk5_0 @ X3 @ esk3_0 )
| ~ ( rel_s4 @ X3 @ X7 )
| ~ ( rel_s4 @ X7 @ X16 ) ),
inference(spm,[status(thm)],[c_0_42,c_0_38]) ).
thf(c_0_51,negated_conjecture,
! [X10: mu] :
( ( rel_s4 @ esk6_0 @ ( esk8_1 @ X10 ) )
| ~ ( member @ X10 @ esk3_0 @ ( esk7_1 @ X10 ) )
| ~ ( exists_in_world @ X10 @ esk6_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
thf(c_0_52,negated_conjecture,
! [X3: $i,X7: $i] :
( ( rel_s4 @ esk6_0 @ ( esk7_1 @ ( esk12_4 @ esk3_0 @ X3 @ esk5_0 @ X7 ) ) )
| ~ ( rel_s4 @ X7 @ ( esk8_1 @ ( esk12_4 @ esk3_0 @ X3 @ esk5_0 @ X7 ) ) )
| ~ ( exists_in_world @ ( esk12_4 @ esk3_0 @ X3 @ esk5_0 @ X7 ) @ esk6_0 )
| ~ ( rel_s4 @ esk6_0 @ ( esk11_4 @ esk3_0 @ X3 @ esk5_0 @ X7 ) )
| ~ ( epred1_3 @ esk5_0 @ X3 @ esk3_0 )
| ~ ( rel_s4 @ X3 @ X7 ) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
thf(c_0_53,negated_conjecture,
! [X10: mu] :
( ( rel_s4 @ esk6_0 @ ( esk8_1 @ X10 ) )
| ( rel_s4 @ esk6_0 @ ( esk7_1 @ X10 ) )
| ~ ( exists_in_world @ X10 @ esk6_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
thf(c_0_54,negated_conjecture,
! [X3: $i,X7: $i] :
( ( exists_in_world @ ( esk12_4 @ esk3_0 @ X3 @ esk5_0 @ X7 ) @ X7 )
| ~ ( rel_s4 @ esk6_0 @ ( esk11_4 @ esk3_0 @ X3 @ esk5_0 @ X7 ) )
| ~ ( epred1_3 @ esk5_0 @ X3 @ esk3_0 )
| ~ ( rel_s4 @ X3 @ X7 ) ),
inference(spm,[status(thm)],[c_0_45,c_0_38]) ).
thf(c_0_55,negated_conjecture,
! [X3: $i] :
( ( member @ ( esk12_4 @ esk3_0 @ esk4_0 @ esk5_0 @ esk6_0 ) @ esk3_0 @ X3 )
| ( rel_s4 @ esk6_0 @ ( esk11_4 @ esk3_0 @ esk4_0 @ esk5_0 @ esk6_0 ) )
| ~ ( rel_s4 @ esk6_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
thf(c_0_56,negated_conjecture,
! [X3: $i,X7: $i] :
( ( member @ ( esk12_4 @ esk3_0 @ esk4_0 @ esk5_0 @ X3 ) @ esk5_0 @ X7 )
| ( rel_s4 @ X3 @ ( esk11_4 @ esk3_0 @ esk4_0 @ esk5_0 @ X3 ) )
| ~ ( rel_s4 @ esk4_0 @ X3 )
| ~ ( rel_s4 @ X3 @ X7 ) ),
inference(spm,[status(thm)],[c_0_48,c_0_40]) ).
thf(c_0_57,negated_conjecture,
! [X3: $i,X7: $i] :
( ~ ( member @ ( esk12_4 @ esk3_0 @ X3 @ esk5_0 @ X7 ) @ esk5_0 @ ( esk8_1 @ ( esk12_4 @ esk3_0 @ X3 @ esk5_0 @ X7 ) ) )
| ~ ( rel_s4 @ X7 @ ( esk7_1 @ ( esk12_4 @ esk3_0 @ X3 @ esk5_0 @ X7 ) ) )
| ~ ( exists_in_world @ ( esk12_4 @ esk3_0 @ X3 @ esk5_0 @ X7 ) @ esk6_0 )
| ~ ( rel_s4 @ esk6_0 @ ( esk11_4 @ esk3_0 @ X3 @ esk5_0 @ X7 ) )
| ~ ( epred1_3 @ esk5_0 @ X3 @ esk3_0 )
| ~ ( rel_s4 @ X3 @ X7 ) ),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
thf(c_0_58,negated_conjecture,
! [X3: $i,X7: $i] :
( ( rel_s4 @ esk6_0 @ ( esk8_1 @ ( esk12_4 @ esk3_0 @ X3 @ esk5_0 @ X7 ) ) )
| ~ ( rel_s4 @ X7 @ ( esk7_1 @ ( esk12_4 @ esk3_0 @ X3 @ esk5_0 @ X7 ) ) )
| ~ ( exists_in_world @ ( esk12_4 @ esk3_0 @ X3 @ esk5_0 @ X7 ) @ esk6_0 )
| ~ ( rel_s4 @ esk6_0 @ ( esk11_4 @ esk3_0 @ X3 @ esk5_0 @ X7 ) )
| ~ ( epred1_3 @ esk5_0 @ X3 @ esk3_0 )
| ~ ( rel_s4 @ X3 @ X7 ) ),
inference(spm,[status(thm)],[c_0_51,c_0_50]) ).
thf(c_0_59,negated_conjecture,
! [X3: $i] :
( ( rel_s4 @ esk6_0 @ ( esk7_1 @ ( esk12_4 @ esk3_0 @ X3 @ esk5_0 @ esk6_0 ) ) )
| ~ ( rel_s4 @ esk6_0 @ ( esk11_4 @ esk3_0 @ X3 @ esk5_0 @ esk6_0 ) )
| ~ ( epred1_3 @ esk5_0 @ X3 @ esk3_0 )
| ~ ( rel_s4 @ X3 @ esk6_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_54]) ).
thf(c_0_60,negated_conjecture,
( ( rel_s4 @ esk6_0 @ ( esk11_4 @ esk3_0 @ esk4_0 @ esk5_0 @ esk6_0 ) )
| ~ ( member @ ( esk12_4 @ esk3_0 @ esk4_0 @ esk5_0 @ esk6_0 ) @ esk5_0 @ ( esk8_1 @ ( esk12_4 @ esk3_0 @ esk4_0 @ esk5_0 @ esk6_0 ) ) )
| ~ ( exists_in_world @ ( esk12_4 @ esk3_0 @ esk4_0 @ esk5_0 @ esk6_0 ) @ esk6_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_55]),c_0_43]) ).
thf(c_0_61,negated_conjecture,
! [X3: $i] :
( ( member @ ( esk12_4 @ esk3_0 @ esk4_0 @ esk5_0 @ esk6_0 ) @ esk5_0 @ X3 )
| ( rel_s4 @ esk6_0 @ ( esk11_4 @ esk3_0 @ esk4_0 @ esk5_0 @ esk6_0 ) )
| ~ ( rel_s4 @ esk6_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_56,c_0_47]) ).
thf(c_0_62,negated_conjecture,
( ( rel_s4 @ esk6_0 @ ( esk8_1 @ ( esk12_4 @ esk3_0 @ esk4_0 @ esk5_0 @ esk6_0 ) ) )
| ( rel_s4 @ esk6_0 @ ( esk11_4 @ esk3_0 @ esk4_0 @ esk5_0 @ esk6_0 ) )
| ~ ( exists_in_world @ ( esk12_4 @ esk3_0 @ esk4_0 @ esk5_0 @ esk6_0 ) @ esk6_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_55]),c_0_53]) ).
thf(c_0_63,negated_conjecture,
! [X7: $i,X3: $i] :
( ~ ( rel_s4 @ X3 @ ( esk7_1 @ ( esk12_4 @ esk3_0 @ X7 @ esk5_0 @ X3 ) ) )
| ~ ( rel_s4 @ X3 @ ( esk8_1 @ ( esk12_4 @ esk3_0 @ X7 @ esk5_0 @ X3 ) ) )
| ~ ( exists_in_world @ ( esk12_4 @ esk3_0 @ X7 @ esk5_0 @ X3 ) @ esk6_0 )
| ~ ( rel_s4 @ esk6_0 @ ( esk11_4 @ esk3_0 @ X7 @ esk5_0 @ X3 ) )
| ~ ( epred1_3 @ esk5_0 @ X7 @ esk3_0 )
| ~ ( rel_s4 @ X7 @ X3 ) ),
inference(spm,[status(thm)],[c_0_57,c_0_44]) ).
thf(c_0_64,negated_conjecture,
! [X3: $i] :
( ( rel_s4 @ esk6_0 @ ( esk8_1 @ ( esk12_4 @ esk3_0 @ X3 @ esk5_0 @ esk6_0 ) ) )
| ~ ( rel_s4 @ esk6_0 @ ( esk11_4 @ esk3_0 @ X3 @ esk5_0 @ esk6_0 ) )
| ~ ( epred1_3 @ esk5_0 @ X3 @ esk3_0 )
| ~ ( rel_s4 @ X3 @ esk6_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_54]) ).
thf(c_0_65,negated_conjecture,
( ( rel_s4 @ esk6_0 @ ( esk11_4 @ esk3_0 @ esk4_0 @ esk5_0 @ esk6_0 ) )
| ~ ( exists_in_world @ ( esk12_4 @ esk3_0 @ esk4_0 @ esk5_0 @ esk6_0 ) @ esk6_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_62]) ).
thf(c_0_66,plain,
! [X3: $i,X7: $i,X12: mu,X10: mu] :
( ( exists_in_world @ ( esk12_4 @ X10 @ X3 @ X12 @ X7 ) @ X7 )
| ( rel_s4 @ X7 @ ( esk11_4 @ X10 @ X3 @ X12 @ X7 ) )
| ~ ( rel_s4 @ X3 @ X7 )
| ~ ( epred1_3 @ X12 @ X3 @ X10 ) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
thf(c_0_67,negated_conjecture,
! [X3: $i] :
( ~ ( rel_s4 @ esk6_0 @ ( esk11_4 @ esk3_0 @ X3 @ esk5_0 @ esk6_0 ) )
| ~ ( epred1_3 @ esk5_0 @ X3 @ esk3_0 )
| ~ ( rel_s4 @ X3 @ esk6_0 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_54]),c_0_59]) ).
thf(c_0_68,plain,
( ( rel_s4 @ esk6_0 @ ( esk11_4 @ esk3_0 @ esk4_0 @ esk5_0 @ esk6_0 ) )
| ~ ( epred1_3 @ esk5_0 @ esk4_0 @ esk3_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_47])]) ).
thf(c_0_69,plain,
~ ( epred1_3 @ esk5_0 @ esk4_0 @ esk3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_47])]) ).
thf(c_0_70,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_33]),c_0_35]),c_0_40])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11 % Problem : SET575^7 : TPTP v8.1.2. Released v5.5.0.
% 0.05/0.12 % Command : run_E %s %d THM
% 0.11/0.32 % Computer : n032.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Fri May 3 10:12:54 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.17/0.41 Running higher-order theorem proving
% 0.17/0.41 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.opXLc3IpM7/E---3.1_31185.p
% 1.10/0.61 # Version: 3.1.0-ho
% 1.10/0.61 # Preprocessing class: HSMSSMSSMLLNHSN.
% 1.10/0.61 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.10/0.61 # Starting new_ho_10_cnf2 with 1500s (5) cores
% 1.10/0.61 # Starting post_as_ho3 with 300s (1) cores
% 1.10/0.61 # Starting new_ho_12 with 300s (1) cores
% 1.10/0.61 # Starting new_bool_2 with 300s (1) cores
% 1.10/0.61 # new_bool_2 with pid 31266 completed with status 0
% 1.10/0.61 # Result found by new_bool_2
% 1.10/0.61 # Preprocessing class: HSMSSMSSMLLNHSN.
% 1.10/0.61 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.10/0.61 # Starting new_ho_10_cnf2 with 1500s (5) cores
% 1.10/0.61 # Starting post_as_ho3 with 300s (1) cores
% 1.10/0.61 # Starting new_ho_12 with 300s (1) cores
% 1.10/0.61 # Starting new_bool_2 with 300s (1) cores
% 1.10/0.61 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 1.10/0.61 # Search class: HGHNF-FFMS33-SHSSMFNN
% 1.10/0.61 # partial match(2): HGHNF-FFMS11-SHSSMFNN
% 1.10/0.61 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 1.10/0.61 # Starting new_ho_10 with 163s (1) cores
% 1.10/0.61 # new_ho_10 with pid 31269 completed with status 0
% 1.10/0.61 # Result found by new_ho_10
% 1.10/0.61 # Preprocessing class: HSMSSMSSMLLNHSN.
% 1.10/0.61 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.10/0.61 # Starting new_ho_10_cnf2 with 1500s (5) cores
% 1.10/0.61 # Starting post_as_ho3 with 300s (1) cores
% 1.10/0.61 # Starting new_ho_12 with 300s (1) cores
% 1.10/0.61 # Starting new_bool_2 with 300s (1) cores
% 1.10/0.61 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 1.10/0.61 # Search class: HGHNF-FFMS33-SHSSMFNN
% 1.10/0.61 # partial match(2): HGHNF-FFMS11-SHSSMFNN
% 1.10/0.61 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 1.10/0.61 # Starting new_ho_10 with 163s (1) cores
% 1.10/0.61 # Preprocessing time : 0.002 s
% 1.10/0.61 # Presaturation interreduction done
% 1.10/0.61
% 1.10/0.61 # Proof found!
% 1.10/0.61 # SZS status Theorem
% 1.10/0.61 # SZS output start CNFRefutation
% See solution above
% 1.10/0.61 # Parsed axioms : 77
% 1.10/0.61 # Removed by relevancy pruning/SinE : 64
% 1.10/0.61 # Initial clauses : 25
% 1.10/0.61 # Removed in clause preprocessing : 0
% 1.10/0.61 # Initial clauses in saturation : 25
% 1.10/0.61 # Processed clauses : 432
% 1.10/0.61 # ...of these trivial : 0
% 1.10/0.61 # ...subsumed : 4
% 1.10/0.61 # ...remaining for further processing : 428
% 1.10/0.61 # Other redundant clauses eliminated : 0
% 1.10/0.61 # Clauses deleted for lack of memory : 0
% 1.10/0.61 # Backward-subsumed : 23
% 1.10/0.61 # Backward-rewritten : 0
% 1.10/0.61 # Generated clauses : 1661
% 1.10/0.61 # ...of the previous two non-redundant : 1638
% 1.10/0.61 # ...aggressively subsumed : 0
% 1.10/0.61 # Contextual simplify-reflections : 27
% 1.10/0.61 # Paramodulations : 1661
% 1.10/0.61 # Factorizations : 0
% 1.10/0.61 # NegExts : 0
% 1.10/0.61 # Equation resolutions : 0
% 1.10/0.61 # Disequality decompositions : 0
% 1.10/0.61 # Total rewrite steps : 75
% 1.10/0.61 # ...of those cached : 69
% 1.10/0.61 # Propositional unsat checks : 0
% 1.10/0.61 # Propositional check models : 0
% 1.10/0.61 # Propositional check unsatisfiable : 0
% 1.10/0.61 # Propositional clauses : 0
% 1.10/0.61 # Propositional clauses after purity: 0
% 1.10/0.61 # Propositional unsat core size : 0
% 1.10/0.61 # Propositional preprocessing time : 0.000
% 1.10/0.61 # Propositional encoding time : 0.000
% 1.10/0.61 # Propositional solver time : 0.000
% 1.10/0.61 # Success case prop preproc time : 0.000
% 1.10/0.61 # Success case prop encoding time : 0.000
% 1.10/0.61 # Success case prop solver time : 0.000
% 1.10/0.61 # Current number of processed clauses : 380
% 1.10/0.61 # Positive orientable unit clauses : 12
% 1.10/0.61 # Positive unorientable unit clauses: 0
% 1.10/0.61 # Negative unit clauses : 1
% 1.10/0.61 # Non-unit-clauses : 367
% 1.10/0.61 # Current number of unprocessed clauses: 1239
% 1.10/0.61 # ...number of literals in the above : 10200
% 1.10/0.61 # Current number of archived formulas : 0
% 1.10/0.61 # Current number of archived clauses : 48
% 1.10/0.61 # Clause-clause subsumption calls (NU) : 46084
% 1.10/0.61 # Rec. Clause-clause subsumption calls : 5925
% 1.10/0.61 # Non-unit clause-clause subsumptions : 59
% 1.10/0.61 # Unit Clause-clause subsumption calls : 141
% 1.10/0.61 # Rewrite failures with RHS unbound : 0
% 1.10/0.61 # BW rewrite match attempts : 0
% 1.10/0.61 # BW rewrite match successes : 0
% 1.10/0.61 # Condensation attempts : 432
% 1.10/0.61 # Condensation successes : 8
% 1.10/0.61 # Termbank termtop insertions : 210300
% 1.10/0.61 # Search garbage collected termcells : 2699
% 1.10/0.61
% 1.10/0.61 # -------------------------------------------------
% 1.10/0.61 # User time : 0.164 s
% 1.10/0.61 # System time : 0.006 s
% 1.10/0.61 # Total time : 0.170 s
% 1.10/0.61 # Maximum resident set size: 2340 pages
% 1.10/0.61
% 1.10/0.61 # -------------------------------------------------
% 1.10/0.61 # User time : 0.167 s
% 1.10/0.61 # System time : 0.006 s
% 1.10/0.61 # Total time : 0.173 s
% 1.10/0.61 # Maximum resident set size: 1796 pages
% 1.10/0.61 % E---3.1 exiting
% 1.10/0.61 % E exiting
%------------------------------------------------------------------------------