TSTP Solution File: LCL960^12 by E---3.1.00
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : LCL960^12 : TPTP v8.2.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n017.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 : Mon May 20 23:55:00 EDT 2024
% Result : Theorem 0.14s 0.40s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 31
% Syntax : Number of formulae : 65 ( 22 unt; 21 typ; 0 def)
% Number of atoms : 256 ( 14 equ; 0 cnn)
% Maximal formula atoms : 56 ( 5 avg)
% Number of connectives : 1011 ( 97 ~; 97 |; 26 &; 749 @)
% ( 1 <=>; 41 =>; 0 <=; 0 <~>)
% Maximal formula depth : 31 ( 9 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 82 ( 82 >; 0 *; 0 +; 0 <<)
% Number of symbols : 22 ( 20 usr; 5 con; 0-6 aty)
% Number of variables : 179 ( 35 ^ 140 !; 4 ?; 179 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
mworld: $tType ).
thf(decl_22,type,
mrel: mworld > mworld > $o ).
thf(decl_23,type,
mactual: mworld ).
thf(decl_24,type,
mlocal: ( mworld > $o ) > $o ).
thf(decl_25,type,
mnot: ( mworld > $o ) > mworld > $o ).
thf(decl_26,type,
mand: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(decl_28,type,
mimplies: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(decl_30,type,
mbox: ( mworld > $o ) > mworld > $o ).
thf(decl_32,type,
eiw_di: $i > mworld > $o ).
thf(decl_33,type,
mforall_di: ( $i > mworld > $o ) > mworld > $o ).
thf(decl_34,type,
mexists_di: ( $i > mworld > $o ) > mworld > $o ).
thf(decl_35,type,
f: $i > $i > mworld > $o ).
thf(decl_36,type,
epred1_4: $i > $i > mworld > $i > $o ).
thf(decl_38,type,
esk2_0: mworld ).
thf(decl_39,type,
esk3_2: mworld > $i > $i ).
thf(decl_40,type,
esk4_0: mworld ).
thf(decl_41,type,
esk5_0: $i ).
thf(decl_42,type,
esk6_5: $i > mworld > $i > $i > mworld > mworld ).
thf(decl_43,type,
esk7_6: $i > mworld > $i > $i > mworld > mworld > mworld ).
thf(decl_44,type,
esk8_5: $i > mworld > $i > $i > mworld > mworld ).
thf(decl_45,type,
esk9_5: $i > mworld > $i > $i > mworld > mworld ).
thf(mlocal_def,axiom,
( mlocal
= ( ^ [X1: mworld > $o] : ( X1 @ mactual ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mlocal_def) ).
thf(mnot_def,axiom,
( mnot
= ( ^ [X2: mworld > $o,X3: mworld] :
~ ( X2 @ X3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mnot_def) ).
thf(mand_def,axiom,
( mand
= ( ^ [X2: mworld > $o,X4: mworld > $o,X3: mworld] :
( ( X2 @ X3 )
& ( X4 @ X3 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mand_def) ).
thf(mimplies_def,axiom,
( mimplies
= ( ^ [X2: mworld > $o,X4: mworld > $o,X3: mworld] :
( ( X2 @ X3 )
=> ( X4 @ X3 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mimplies_def) ).
thf(mbox_def,axiom,
( mbox
= ( ^ [X1: mworld > $o,X3: mworld] :
! [X5: mworld] :
( ( mrel @ X3 @ X5 )
=> ( X1 @ X5 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mbox_def) ).
thf(mforall_di_def,axiom,
( mforall_di
= ( ^ [X7: $i > mworld > $o,X3: mworld] :
! [X6: $i] :
( ( eiw_di @ X6 @ X3 )
=> ( X7 @ X6 @ X3 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mforall_di_def) ).
thf(mexists_di_def,axiom,
( mexists_di
= ( ^ [X8: $i > mworld > $o,X3: mworld] :
? [X6: $i] :
( ( eiw_di @ X6 @ X3 )
& ( X8 @ X6 @ X3 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mexists_di_def) ).
thf(kalish256,conjecture,
( mlocal
@ ( mbox
@ ( mimplies
@ ( mbox
@ ( mforall_di
@ ^ [X9: $i] :
( mexists_di
@ ^ [X10: $i] :
( mbox
@ ( mforall_di
@ ^ [X6: $i] : ( mand @ ( mbox @ ( mimplies @ ( mbox @ ( f @ X6 @ X10 ) ) @ ( mand @ ( mbox @ ( f @ X6 @ X9 ) ) @ ( mbox @ ( mnot @ ( mbox @ ( f @ X6 @ X6 ) ) ) ) ) ) ) @ ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( f @ X6 @ X9 ) ) @ ( mbox @ ( mnot @ ( mbox @ ( f @ X6 @ X6 ) ) ) ) ) @ ( mbox @ ( f @ X6 @ X10 ) ) ) ) ) ) ) ) ) )
@ ( mbox
@ ( mnot
@ ( mexists_di
@ ^ [X11: $i] :
( mbox
@ ( mforall_di
@ ^ [X12: $i] : ( mbox @ ( f @ X12 @ X11 ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kalish256) ).
thf(mrel_universal,axiom,
! [X3: mworld,X5: mworld] : ( mrel @ X3 @ X5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mrel_universal) ).
thf(c_0_9,plain,
( mlocal
= ( ^ [Z0: mworld > $o] : ( Z0 @ mactual ) ) ),
inference(fof_simplification,[status(thm)],[mlocal_def]) ).
thf(c_0_10,plain,
( mnot
= ( ^ [Z0: mworld > $o,Z1: mworld] :
~ ( Z0 @ Z1 ) ) ),
inference(fof_simplification,[status(thm)],[mnot_def]) ).
thf(c_0_11,plain,
( mand
= ( ^ [Z0: mworld > $o,Z1: mworld > $o,Z2: mworld] :
( ( Z0 @ Z2 )
& ( Z1 @ Z2 ) ) ) ),
inference(fof_simplification,[status(thm)],[mand_def]) ).
thf(c_0_12,plain,
( mimplies
= ( ^ [Z0: mworld > $o,Z1: mworld > $o,Z2: mworld] :
( ( Z0 @ Z2 )
=> ( Z1 @ Z2 ) ) ) ),
inference(fof_simplification,[status(thm)],[mimplies_def]) ).
thf(c_0_13,plain,
( mbox
= ( ^ [Z0: mworld > $o,Z1: mworld] :
! [X5: mworld] :
( ( mrel @ Z1 @ X5 )
=> ( Z0 @ X5 ) ) ) ),
inference(fof_simplification,[status(thm)],[mbox_def]) ).
thf(c_0_14,plain,
( mforall_di
= ( ^ [Z0: $i > mworld > $o,Z1: mworld] :
! [X6: $i] :
( ( eiw_di @ X6 @ Z1 )
=> ( Z0 @ X6 @ Z1 ) ) ) ),
inference(fof_simplification,[status(thm)],[mforall_di_def]) ).
thf(c_0_15,plain,
( mexists_di
= ( ^ [Z0: $i > mworld > $o,Z1: mworld] :
? [X6: $i] :
( ( eiw_di @ X6 @ Z1 )
& ( Z0 @ X6 @ Z1 ) ) ) ),
inference(fof_simplification,[status(thm)],[mexists_di_def]) ).
thf(c_0_16,plain,
! [X27: $i,X28: mworld,X30: $i,X29: $i] :
( ( epred1_4 @ X29 @ X30 @ X28 @ X27 )
<=> ( ! [X21: mworld] :
( ( mrel @ X28 @ X21 )
=> ( ! [X17: mworld] :
( ( mrel @ X21 @ X17 )
=> ( f @ X27 @ X29 @ X17 ) )
=> ( ! [X18: mworld] :
( ( mrel @ X21 @ X18 )
=> ( f @ X27 @ X30 @ X18 ) )
& ! [X20: mworld] :
( ( mrel @ X21 @ X20 )
=> ~ ! [X19: mworld] :
( ( mrel @ X20 @ X19 )
=> ( f @ X27 @ X27 @ X19 ) ) ) ) ) )
& ! [X26: mworld] :
( ( mrel @ X28 @ X26 )
=> ( ( ! [X22: mworld] :
( ( mrel @ X26 @ X22 )
=> ( f @ X27 @ X30 @ X22 ) )
& ! [X24: mworld] :
( ( mrel @ X26 @ X24 )
=> ~ ! [X23: mworld] :
( ( mrel @ X24 @ X23 )
=> ( f @ X27 @ X27 @ X23 ) ) ) )
=> ! [X25: mworld] :
( ( mrel @ X26 @ X25 )
=> ( f @ X27 @ X29 @ X25 ) ) ) ) ) ),
introduced(definition) ).
thf(c_0_17,negated_conjecture,
~ ! [X37: mworld] :
( ( mrel @ mactual @ X37 )
=> ( ! [X31: mworld] :
( ( mrel @ X37 @ X31 )
=> ! [X30: $i] :
( ( eiw_di @ X30 @ X31 )
=> ? [X29: $i] :
( ( eiw_di @ X29 @ X31 )
& ! [X28: mworld] :
( ( mrel @ X31 @ X28 )
=> ! [X27: $i] :
( ( eiw_di @ X27 @ X28 )
=> ( epred1_4 @ X29 @ X30 @ X28 @ X27 ) ) ) ) ) )
=> ! [X36: mworld] :
( ( mrel @ X37 @ X36 )
=> ~ ? [X35: $i] :
( ( eiw_di @ X35 @ X36 )
& ! [X34: mworld] :
( ( mrel @ X36 @ X34 )
=> ! [X33: $i] :
( ( eiw_di @ X33 @ X34 )
=> ! [X32: mworld] :
( ( mrel @ X34 @ X32 )
=> ( f @ X33 @ X35 @ X32 ) ) ) ) ) ) ) ),
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(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[kalish256])]),c_0_9]),c_0_10]),c_0_11]),c_0_12]),c_0_13]),c_0_14]),c_0_15]),c_0_16]) ).
thf(c_0_18,plain,
! [X27: $i,X28: mworld,X30: $i,X29: $i] :
( ( epred1_4 @ X29 @ X30 @ X28 @ X27 )
=> ( ! [X21: mworld] :
( ( mrel @ X28 @ X21 )
=> ( ! [X17: mworld] :
( ( mrel @ X21 @ X17 )
=> ( f @ X27 @ X29 @ X17 ) )
=> ( ! [X18: mworld] :
( ( mrel @ X21 @ X18 )
=> ( f @ X27 @ X30 @ X18 ) )
& ! [X20: mworld] :
( ( mrel @ X21 @ X20 )
=> ~ ! [X19: mworld] :
( ( mrel @ X20 @ X19 )
=> ( f @ X27 @ X27 @ X19 ) ) ) ) ) )
& ! [X26: mworld] :
( ( mrel @ X28 @ X26 )
=> ( ( ! [X22: mworld] :
( ( mrel @ X26 @ X22 )
=> ( f @ X27 @ X30 @ X22 ) )
& ! [X24: mworld] :
( ( mrel @ X26 @ X24 )
=> ~ ! [X23: mworld] :
( ( mrel @ X24 @ X23 )
=> ( f @ X27 @ X27 @ X23 ) ) ) )
=> ! [X25: mworld] :
( ( mrel @ X26 @ X25 )
=> ( f @ X27 @ X29 @ X25 ) ) ) ) ) ),
inference(split_equiv,[status(thm)],[c_0_16]) ).
thf(c_0_19,negated_conjecture,
! [X43: mworld,X44: $i,X46: mworld,X47: $i,X50: mworld,X51: $i,X52: mworld] :
( ( mrel @ mactual @ esk2_0 )
& ( ( eiw_di @ ( esk3_2 @ X43 @ X44 ) @ X43 )
| ~ ( eiw_di @ X44 @ X43 )
| ~ ( mrel @ esk2_0 @ X43 ) )
& ( ~ ( mrel @ X43 @ X46 )
| ~ ( eiw_di @ X47 @ X46 )
| ( epred1_4 @ ( esk3_2 @ X43 @ X44 ) @ X44 @ X46 @ X47 )
| ~ ( eiw_di @ X44 @ X43 )
| ~ ( mrel @ esk2_0 @ X43 ) )
& ( mrel @ esk2_0 @ esk4_0 )
& ( eiw_di @ esk5_0 @ esk4_0 )
& ( ~ ( mrel @ esk4_0 @ X50 )
| ~ ( eiw_di @ X51 @ X50 )
| ~ ( mrel @ X50 @ X52 )
| ( f @ X51 @ esk5_0 @ X52 ) ) ),
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_17])])])])])]) ).
thf(c_0_20,plain,
! [X38: mworld,X39: mworld] : ( mrel @ X38 @ X39 ),
inference(variable_rename,[status(thm)],[mrel_universal]) ).
thf(c_0_21,plain,
! [X53: $i,X54: mworld,X55: $i,X56: $i,X57: mworld,X59: mworld,X60: mworld,X62: mworld,X65: mworld,X66: mworld] :
( ( ~ ( mrel @ X57 @ X59 )
| ( f @ X53 @ X55 @ X59 )
| ( mrel @ X57 @ ( esk6_5 @ X53 @ X54 @ X55 @ X56 @ X57 ) )
| ~ ( mrel @ X54 @ X57 )
| ~ ( epred1_4 @ X56 @ X55 @ X54 @ X53 ) )
& ( ( mrel @ X60 @ ( esk7_6 @ X53 @ X54 @ X55 @ X56 @ X57 @ X60 ) )
| ~ ( mrel @ X57 @ X60 )
| ( mrel @ X57 @ ( esk6_5 @ X53 @ X54 @ X55 @ X56 @ X57 ) )
| ~ ( mrel @ X54 @ X57 )
| ~ ( epred1_4 @ X56 @ X55 @ X54 @ X53 ) )
& ( ~ ( f @ X53 @ X53 @ ( esk7_6 @ X53 @ X54 @ X55 @ X56 @ X57 @ X60 ) )
| ~ ( mrel @ X57 @ X60 )
| ( mrel @ X57 @ ( esk6_5 @ X53 @ X54 @ X55 @ X56 @ X57 ) )
| ~ ( mrel @ X54 @ X57 )
| ~ ( epred1_4 @ X56 @ X55 @ X54 @ X53 ) )
& ( ~ ( mrel @ X57 @ X59 )
| ( f @ X53 @ X55 @ X59 )
| ~ ( f @ X53 @ X56 @ ( esk6_5 @ X53 @ X54 @ X55 @ X56 @ X57 ) )
| ~ ( mrel @ X54 @ X57 )
| ~ ( epred1_4 @ X56 @ X55 @ X54 @ X53 ) )
& ( ( mrel @ X60 @ ( esk7_6 @ X53 @ X54 @ X55 @ X56 @ X57 @ X60 ) )
| ~ ( mrel @ X57 @ X60 )
| ~ ( f @ X53 @ X56 @ ( esk6_5 @ X53 @ X54 @ X55 @ X56 @ X57 ) )
| ~ ( mrel @ X54 @ X57 )
| ~ ( epred1_4 @ X56 @ X55 @ X54 @ X53 ) )
& ( ~ ( f @ X53 @ X53 @ ( esk7_6 @ X53 @ X54 @ X55 @ X56 @ X57 @ X60 ) )
| ~ ( mrel @ X57 @ X60 )
| ~ ( f @ X53 @ X56 @ ( esk6_5 @ X53 @ X54 @ X55 @ X56 @ X57 ) )
| ~ ( mrel @ X54 @ X57 )
| ~ ( epred1_4 @ X56 @ X55 @ X54 @ X53 ) )
& ( ( mrel @ X62 @ ( esk9_5 @ X53 @ X54 @ X55 @ X56 @ X62 ) )
| ( mrel @ X62 @ ( esk8_5 @ X53 @ X54 @ X55 @ X56 @ X62 ) )
| ~ ( mrel @ X62 @ X66 )
| ( f @ X53 @ X56 @ X66 )
| ~ ( mrel @ X54 @ X62 )
| ~ ( epred1_4 @ X56 @ X55 @ X54 @ X53 ) )
& ( ~ ( mrel @ ( esk9_5 @ X53 @ X54 @ X55 @ X56 @ X62 ) @ X65 )
| ( f @ X53 @ X53 @ X65 )
| ( mrel @ X62 @ ( esk8_5 @ X53 @ X54 @ X55 @ X56 @ X62 ) )
| ~ ( mrel @ X62 @ X66 )
| ( f @ X53 @ X56 @ X66 )
| ~ ( mrel @ X54 @ X62 )
| ~ ( epred1_4 @ X56 @ X55 @ X54 @ X53 ) )
& ( ( mrel @ X62 @ ( esk9_5 @ X53 @ X54 @ X55 @ X56 @ X62 ) )
| ~ ( f @ X53 @ X55 @ ( esk8_5 @ X53 @ X54 @ X55 @ X56 @ X62 ) )
| ~ ( mrel @ X62 @ X66 )
| ( f @ X53 @ X56 @ X66 )
| ~ ( mrel @ X54 @ X62 )
| ~ ( epred1_4 @ X56 @ X55 @ X54 @ X53 ) )
& ( ~ ( mrel @ ( esk9_5 @ X53 @ X54 @ X55 @ X56 @ X62 ) @ X65 )
| ( f @ X53 @ X53 @ X65 )
| ~ ( f @ X53 @ X55 @ ( esk8_5 @ X53 @ X54 @ X55 @ X56 @ X62 ) )
| ~ ( mrel @ X62 @ X66 )
| ( f @ X53 @ X56 @ X66 )
| ~ ( mrel @ X54 @ X62 )
| ~ ( epred1_4 @ X56 @ X55 @ X54 @ X53 ) ) ),
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_18])])])])])]) ).
thf(c_0_22,negated_conjecture,
! [X3: mworld,X6: $i,X5: mworld] :
( ( f @ X6 @ esk5_0 @ X5 )
| ~ ( mrel @ esk4_0 @ X3 )
| ~ ( eiw_di @ X6 @ X3 )
| ~ ( mrel @ X3 @ X5 ) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
thf(c_0_23,plain,
! [X3: mworld,X5: mworld] : ( mrel @ X3 @ X5 ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
thf(c_0_24,negated_conjecture,
! [X6: $i,X3: mworld] :
( ( eiw_di @ ( esk3_2 @ X3 @ X6 ) @ X3 )
| ~ ( eiw_di @ X6 @ X3 )
| ~ ( mrel @ esk2_0 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
thf(c_0_25,plain,
! [X3: mworld,X5: mworld,X14: mworld,X13: mworld,X10: $i,X9: $i,X6: $i] :
( ( f @ X6 @ X6 @ X13 )
| ( f @ X6 @ X10 @ X14 )
| ~ ( mrel @ ( esk9_5 @ X6 @ X3 @ X9 @ X10 @ X5 ) @ X13 )
| ~ ( f @ X6 @ X9 @ ( esk8_5 @ X6 @ X3 @ X9 @ X10 @ X5 ) )
| ~ ( mrel @ X5 @ X14 )
| ~ ( mrel @ X3 @ X5 )
| ~ ( epred1_4 @ X10 @ X9 @ X3 @ X6 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_26,negated_conjecture,
! [X3: mworld,X6: $i,X5: mworld] :
( ( f @ X6 @ esk5_0 @ X3 )
| ~ ( eiw_di @ X6 @ X5 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_22,c_0_23]),c_0_23])]) ).
thf(c_0_27,negated_conjecture,
! [X6: $i,X3: mworld] :
( ( eiw_di @ ( esk3_2 @ X3 @ X6 ) @ X3 )
| ~ ( eiw_di @ X6 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_23])]) ).
thf(c_0_28,plain,
! [X3: mworld,X5: mworld,X9: $i,X14: mworld,X13: mworld,X10: $i,X6: $i] :
( ( f @ X6 @ X6 @ X3 )
| ( f @ X6 @ X9 @ X5 )
| ~ ( f @ X6 @ X10 @ ( esk8_5 @ X6 @ X13 @ X10 @ X9 @ X14 ) )
| ~ ( epred1_4 @ X9 @ X10 @ X13 @ X6 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_23]),c_0_23]),c_0_23])]) ).
thf(c_0_29,negated_conjecture,
! [X6: $i,X5: mworld,X3: mworld] :
( ( f @ ( esk3_2 @ X3 @ X6 ) @ esk5_0 @ X5 )
| ~ ( eiw_di @ X6 @ X3 ) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
thf(c_0_30,negated_conjecture,
! [X5: mworld,X9: $i,X6: $i,X3: mworld] :
( ( epred1_4 @ ( esk3_2 @ X3 @ X9 ) @ X9 @ X5 @ X6 )
| ~ ( mrel @ X3 @ X5 )
| ~ ( eiw_di @ X6 @ X5 )
| ~ ( eiw_di @ X9 @ X3 )
| ~ ( mrel @ esk2_0 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
thf(c_0_31,plain,
! [X5: mworld,X9: $i,X14: mworld,X13: mworld,X6: $i,X3: mworld] :
( ( f @ ( esk3_2 @ X3 @ X6 ) @ ( esk3_2 @ X3 @ X6 ) @ X5 )
| ( f @ ( esk3_2 @ X3 @ X6 ) @ X9 @ X13 )
| ~ ( epred1_4 @ X9 @ esk5_0 @ X14 @ ( esk3_2 @ X3 @ X6 ) )
| ~ ( eiw_di @ X6 @ X3 ) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
thf(c_0_32,negated_conjecture,
! [X3: mworld,X6: $i,X9: $i,X5: mworld] :
( ( epred1_4 @ ( esk3_2 @ X3 @ X6 ) @ X6 @ X5 @ X9 )
| ~ ( eiw_di @ X6 @ X3 )
| ~ ( eiw_di @ X9 @ X5 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_30,c_0_23]),c_0_23])]) ).
thf(c_0_33,negated_conjecture,
! [X13: mworld,X15: mworld,X14: mworld,X6: $i,X5: mworld,X3: mworld] :
( ( f @ ( esk3_2 @ X3 @ X6 ) @ ( esk3_2 @ X5 @ esk5_0 ) @ X13 )
| ( f @ ( esk3_2 @ X3 @ X6 ) @ ( esk3_2 @ X3 @ X6 ) @ X14 )
| ~ ( eiw_di @ ( esk3_2 @ X3 @ X6 ) @ X15 )
| ~ ( eiw_di @ esk5_0 @ X5 )
| ~ ( eiw_di @ X6 @ X3 ) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
thf(c_0_34,negated_conjecture,
! [X14: mworld,X13: mworld,X6: $i,X5: mworld,X3: mworld] :
( ( f @ ( esk3_2 @ X3 @ X6 ) @ ( esk3_2 @ X5 @ esk5_0 ) @ X13 )
| ( f @ ( esk3_2 @ X3 @ X6 ) @ ( esk3_2 @ X3 @ X6 ) @ X14 )
| ~ ( eiw_di @ esk5_0 @ X5 )
| ~ ( eiw_di @ X6 @ X3 ) ),
inference(spm,[status(thm)],[c_0_33,c_0_27]) ).
thf(c_0_35,negated_conjecture,
eiw_di @ esk5_0 @ esk4_0,
inference(split_conjunct,[status(thm)],[c_0_19]) ).
thf(c_0_36,plain,
! [X3: mworld,X5: mworld,X13: mworld,X10: $i,X9: $i,X6: $i] :
( ~ ( f @ X6 @ X6 @ ( esk7_6 @ X6 @ X3 @ X9 @ X10 @ X5 @ X13 ) )
| ~ ( mrel @ X5 @ X13 )
| ~ ( f @ X6 @ X10 @ ( esk6_5 @ X6 @ X3 @ X9 @ X10 @ X5 ) )
| ~ ( mrel @ X3 @ X5 )
| ~ ( epred1_4 @ X10 @ X9 @ X3 @ X6 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_37,negated_conjecture,
! [X13: mworld,X6: $i,X5: mworld,X3: mworld] :
( ( f @ ( esk3_2 @ X3 @ X6 ) @ ( esk3_2 @ esk4_0 @ esk5_0 ) @ X5 )
| ( f @ ( esk3_2 @ X3 @ X6 ) @ ( esk3_2 @ X3 @ X6 ) @ X13 )
| ~ ( eiw_di @ X6 @ X3 ) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
thf(c_0_38,plain,
! [X3: mworld,X5: mworld,X13: mworld,X10: $i,X9: $i,X6: $i] :
( ~ ( f @ X6 @ X6 @ ( esk7_6 @ X6 @ X3 @ X9 @ X10 @ X5 @ X13 ) )
| ~ ( f @ X6 @ X10 @ ( esk6_5 @ X6 @ X3 @ X9 @ X10 @ X5 ) )
| ~ ( epred1_4 @ X10 @ X9 @ X3 @ X6 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_36,c_0_23]),c_0_23])]) ).
thf(c_0_39,negated_conjecture,
! [X3: mworld] : ( f @ ( esk3_2 @ esk4_0 @ esk5_0 ) @ ( esk3_2 @ esk4_0 @ esk5_0 ) @ X3 ),
inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_35])]) ).
thf(c_0_40,plain,
! [X5: mworld,X9: $i,X6: $i,X3: mworld] :
( ~ ( f @ ( esk3_2 @ esk4_0 @ esk5_0 ) @ X6 @ ( esk6_5 @ ( esk3_2 @ esk4_0 @ esk5_0 ) @ X3 @ X9 @ X6 @ X5 ) )
| ~ ( epred1_4 @ X6 @ X9 @ X3 @ ( esk3_2 @ esk4_0 @ esk5_0 ) ) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
thf(c_0_41,negated_conjecture,
! [X6: $i,X3: mworld] :
~ ( epred1_4 @ ( esk3_2 @ esk4_0 @ esk5_0 ) @ X6 @ X3 @ ( esk3_2 @ esk4_0 @ esk5_0 ) ),
inference(spm,[status(thm)],[c_0_40,c_0_39]) ).
thf(c_0_42,negated_conjecture,
! [X3: mworld] :
~ ( eiw_di @ ( esk3_2 @ esk4_0 @ esk5_0 ) @ X3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_32]),c_0_35])]) ).
thf(c_0_43,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_27]),c_0_35])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.09 % Problem : LCL960^12 : TPTP v8.2.0. Released v8.1.0.
% 0.04/0.09 % Command : run_E %s %d THM
% 0.09/0.29 % Computer : n017.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Mon May 20 02:01:07 EDT 2024
% 0.09/0.29 % CPUTime :
% 0.14/0.39 Running higher-order theorem proving
% 0.14/0.39 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/benchmark/theBenchmark.p
% 0.14/0.40 # Version: 3.1.0-ho
% 0.14/0.40 # Preprocessing class: HSMSSMSSMLMNHSN.
% 0.14/0.40 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.40 # Starting ho_unfolding_3 with 1500s (5) cores
% 0.14/0.40 # Starting ehoh_best2_full_lfho with 300s (1) cores
% 0.14/0.40 # Starting almost_fo_3_lam with 300s (1) cores
% 0.14/0.40 # Starting post_as_ho1 with 300s (1) cores
% 0.14/0.40 # ehoh_best2_full_lfho with pid 18127 completed with status 0
% 0.14/0.40 # Result found by ehoh_best2_full_lfho
% 0.14/0.40 # Preprocessing class: HSMSSMSSMLMNHSN.
% 0.14/0.40 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.40 # Starting ho_unfolding_3 with 1500s (5) cores
% 0.14/0.40 # Starting ehoh_best2_full_lfho with 300s (1) cores
% 0.14/0.40 # No SInE strategy applied
% 0.14/0.40 # Search class: HGHNS-FFMS33-SHSSMFNN
% 0.14/0.40 # partial match(2): HGHNS-FFMM32-SHSSMFNN
% 0.14/0.40 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.14/0.40 # Starting new_ho_10 with 163s (1) cores
% 0.14/0.40 # new_ho_10 with pid 18131 completed with status 0
% 0.14/0.40 # Result found by new_ho_10
% 0.14/0.40 # Preprocessing class: HSMSSMSSMLMNHSN.
% 0.14/0.40 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.40 # Starting ho_unfolding_3 with 1500s (5) cores
% 0.14/0.40 # Starting ehoh_best2_full_lfho with 300s (1) cores
% 0.14/0.40 # No SInE strategy applied
% 0.14/0.40 # Search class: HGHNS-FFMS33-SHSSMFNN
% 0.14/0.40 # partial match(2): HGHNS-FFMM32-SHSSMFNN
% 0.14/0.40 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.14/0.40 # Starting new_ho_10 with 163s (1) cores
% 0.14/0.40 # Preprocessing time : 0.001 s
% 0.14/0.40 # Presaturation interreduction done
% 0.14/0.40
% 0.14/0.40 # Proof found!
% 0.14/0.40 # SZS status Theorem
% 0.14/0.40 # SZS output start CNFRefutation
% See solution above
% 0.14/0.40 # Parsed axioms : 28
% 0.14/0.40 # Removed by relevancy pruning/SinE : 0
% 0.14/0.40 # Initial clauses : 33
% 0.14/0.40 # Removed in clause preprocessing : 15
% 0.14/0.40 # Initial clauses in saturation : 18
% 0.14/0.40 # Processed clauses : 50
% 0.14/0.40 # ...of these trivial : 7
% 0.14/0.40 # ...subsumed : 0
% 0.14/0.40 # ...remaining for further processing : 43
% 0.14/0.40 # Other redundant clauses eliminated : 0
% 0.14/0.40 # Clauses deleted for lack of memory : 0
% 0.14/0.40 # Backward-subsumed : 4
% 0.14/0.40 # Backward-rewritten : 2
% 0.14/0.40 # Generated clauses : 36
% 0.14/0.40 # ...of the previous two non-redundant : 33
% 0.14/0.40 # ...aggressively subsumed : 0
% 0.14/0.40 # Contextual simplify-reflections : 0
% 0.14/0.40 # Paramodulations : 36
% 0.14/0.40 # Factorizations : 0
% 0.14/0.40 # NegExts : 0
% 0.14/0.40 # Equation resolutions : 0
% 0.14/0.40 # Disequality decompositions : 0
% 0.14/0.40 # Total rewrite steps : 44
% 0.14/0.40 # ...of those cached : 23
% 0.14/0.40 # Propositional unsat checks : 0
% 0.14/0.40 # Propositional check models : 0
% 0.14/0.40 # Propositional check unsatisfiable : 0
% 0.14/0.40 # Propositional clauses : 0
% 0.14/0.40 # Propositional clauses after purity: 0
% 0.14/0.40 # Propositional unsat core size : 0
% 0.14/0.40 # Propositional preprocessing time : 0.000
% 0.14/0.40 # Propositional encoding time : 0.000
% 0.14/0.40 # Propositional solver time : 0.000
% 0.14/0.40 # Success case prop preproc time : 0.000
% 0.14/0.40 # Success case prop encoding time : 0.000
% 0.14/0.40 # Success case prop solver time : 0.000
% 0.14/0.40 # Current number of processed clauses : 28
% 0.14/0.40 # Positive orientable unit clauses : 6
% 0.14/0.40 # Positive unorientable unit clauses: 0
% 0.14/0.40 # Negative unit clauses : 4
% 0.14/0.40 # Non-unit-clauses : 18
% 0.14/0.40 # Current number of unprocessed clauses: 10
% 0.14/0.40 # ...number of literals in the above : 28
% 0.14/0.40 # Current number of archived formulas : 0
% 0.14/0.40 # Current number of archived clauses : 15
% 0.14/0.40 # Clause-clause subsumption calls (NU) : 120
% 0.14/0.40 # Rec. Clause-clause subsumption calls : 60
% 0.14/0.40 # Non-unit clause-clause subsumptions : 2
% 0.14/0.40 # Unit Clause-clause subsumption calls : 17
% 0.14/0.40 # Rewrite failures with RHS unbound : 0
% 0.14/0.40 # BW rewrite match attempts : 2
% 0.14/0.40 # BW rewrite match successes : 2
% 0.14/0.40 # Condensation attempts : 50
% 0.14/0.40 # Condensation successes : 1
% 0.14/0.40 # Termbank termtop insertions : 4641
% 0.14/0.40 # Search garbage collected termcells : 1524
% 0.14/0.40
% 0.14/0.40 # -------------------------------------------------
% 0.14/0.40 # User time : 0.007 s
% 0.14/0.40 # System time : 0.003 s
% 0.14/0.40 # Total time : 0.010 s
% 0.14/0.40 # Maximum resident set size: 1892 pages
% 0.14/0.40
% 0.14/0.40 # -------------------------------------------------
% 0.14/0.40 # User time : 0.009 s
% 0.14/0.40 # System time : 0.003 s
% 0.14/0.40 # Total time : 0.013 s
% 0.14/0.40 # Maximum resident set size: 1752 pages
% 0.14/0.40 % E---3.1 exiting
% 0.14/0.40 % E exiting
%------------------------------------------------------------------------------