TSTP Solution File: LCL959^24 by E---3.1.00
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%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : LCL959^24 : TPTP v8.2.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n022.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 0.20s 0.52s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 31
% Syntax : Number of formulae : 71 ( 24 unt; 21 typ; 0 def)
% Number of atoms : 323 ( 14 equ; 0 cnn)
% Maximal formula atoms : 161 ( 6 avg)
% Number of connectives : 1056 ( 135 ~; 164 |; 49 &; 685 @)
% ( 0 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 58 ( 7 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 59 ( 59 >; 0 *; 0 +; 0 <<)
% Number of symbols : 22 ( 20 usr; 6 con; 0-3 aty)
% Number of variables : 130 ( 34 ^ 92 !; 4 ?; 130 :)
% 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 > mworld > $o ).
thf(decl_37,type,
esk2_0: mworld ).
thf(decl_38,type,
esk3_1: mworld > mworld ).
thf(decl_39,type,
esk4_1: mworld > $i ).
thf(decl_40,type,
esk5_1: mworld > mworld ).
thf(decl_41,type,
esk6_1: $i > mworld ).
thf(decl_42,type,
esk7_0: mworld ).
thf(decl_43,type,
esk8_0: $i ).
thf(decl_44,type,
esk9_1: mworld > mworld ).
thf(decl_45,type,
esk10_0: mworld ).
thf(mlocal_def,axiom,
( mlocal
= ( ^ [X1: mworld > $o] : ( X1 @ mactual ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mlocal_def) ).
thf(mnot_def,axiom,
( mnot
= ( ^ [X2: mworld > $o,X3: mworld] :
~ ( X2 @ X3 ) ) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',mexists_di_def) ).
thf(kalish203,conjecture,
( mlocal
@ ( mand
@ ( mbox
@ ( mimplies
@ ( mbox
@ ( mnot
@ ( mbox
@ ( mforall_di
@ ^ [X6: $i] : ( mbox @ ( f @ X6 ) ) ) ) ) )
@ ( mexists_di
@ ^ [X9: $i] : ( mbox @ ( mnot @ ( mbox @ ( f @ X9 ) ) ) ) ) ) )
@ ( mbox
@ ( mimplies
@ ( mexists_di
@ ^ [X9: $i] : ( mbox @ ( mnot @ ( mbox @ ( f @ X9 ) ) ) ) )
@ ( mbox
@ ( mnot
@ ( mbox
@ ( mforall_di
@ ^ [X6: $i] : ( mbox @ ( f @ X6 ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kalish203) ).
thf(eiw_di_decr,axiom,
! [X3: mworld,X5: mworld,X6: $i] :
( ( ( eiw_di @ X6 @ X3 )
& ( mrel @ X5 @ X3 ) )
=> ( eiw_di @ X6 @ X5 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',eiw_di_decr) ).
thf(mrel_universal,axiom,
! [X3: mworld,X5: mworld] : ( mrel @ X3 @ X5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mrel_universal) ).
thf(c_0_10,plain,
( mlocal
= ( ^ [Z0: mworld > $o] : ( Z0 @ mactual ) ) ),
inference(fof_simplification,[status(thm)],[mlocal_def]) ).
thf(c_0_11,plain,
( mnot
= ( ^ [Z0: mworld > $o,Z1: mworld] :
~ ( Z0 @ Z1 ) ) ),
inference(fof_simplification,[status(thm)],[mnot_def]) ).
thf(c_0_12,plain,
( mand
= ( ^ [Z0: mworld > $o,Z1: mworld > $o,Z2: mworld] :
( ( Z0 @ Z2 )
& ( Z1 @ Z2 ) ) ) ),
inference(fof_simplification,[status(thm)],[mand_def]) ).
thf(c_0_13,plain,
( mimplies
= ( ^ [Z0: mworld > $o,Z1: mworld > $o,Z2: mworld] :
( ( Z0 @ Z2 )
=> ( Z1 @ Z2 ) ) ) ),
inference(fof_simplification,[status(thm)],[mimplies_def]) ).
thf(c_0_14,plain,
( mbox
= ( ^ [Z0: mworld > $o,Z1: mworld] :
! [X5: mworld] :
( ( mrel @ Z1 @ X5 )
=> ( Z0 @ X5 ) ) ) ),
inference(fof_simplification,[status(thm)],[mbox_def]) ).
thf(c_0_15,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_16,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_17,negated_conjecture,
~ ( ! [X24: mworld] :
( ( mrel @ mactual @ X24 )
=> ( ! [X20: mworld] :
( ( mrel @ X24 @ X20 )
=> ~ ! [X19: mworld] :
( ( mrel @ X20 @ X19 )
=> ! [X18: $i] :
( ( eiw_di @ X18 @ X19 )
=> ! [X17: mworld] :
( ( mrel @ X19 @ X17 )
=> ( f @ X18 @ X17 ) ) ) ) )
=> ? [X23: $i] :
( ( eiw_di @ X23 @ X24 )
& ! [X22: mworld] :
( ( mrel @ X24 @ X22 )
=> ~ ! [X21: mworld] :
( ( mrel @ X22 @ X21 )
=> ( f @ X23 @ X21 ) ) ) ) ) )
& ! [X32: mworld] :
( ( mrel @ mactual @ X32 )
=> ( ? [X27: $i] :
( ( eiw_di @ X27 @ X32 )
& ! [X26: mworld] :
( ( mrel @ X32 @ X26 )
=> ~ ! [X25: mworld] :
( ( mrel @ X26 @ X25 )
=> ( f @ X27 @ X25 ) ) ) )
=> ! [X31: mworld] :
( ( mrel @ X32 @ X31 )
=> ~ ! [X30: mworld] :
( ( mrel @ X31 @ X30 )
=> ! [X29: $i] :
( ( eiw_di @ X29 @ X30 )
=> ! [X28: mworld] :
( ( mrel @ X30 @ X28 )
=> ( f @ X29 @ X28 ) ) ) ) ) ) ) ),
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)],[kalish203])]),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,
! [X37: mworld,X38: mworld,X39: $i] :
( ~ ( eiw_di @ X39 @ X37 )
| ~ ( mrel @ X38 @ X37 )
| ( eiw_di @ X39 @ X38 ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[eiw_di_decr])])]) ).
thf(c_0_19,plain,
! [X33: mworld,X34: mworld] : ( mrel @ X33 @ X34 ),
inference(variable_rename,[status(thm)],[mrel_universal]) ).
thf(c_0_20,negated_conjecture,
! [X41: mworld,X45: $i,X47: mworld,X50: mworld,X53: mworld,X54: $i,X55: mworld] :
( ( ( mrel @ mactual @ esk7_0 )
| ( mrel @ mactual @ esk2_0 ) )
& ( ( eiw_di @ esk8_0 @ esk7_0 )
| ( mrel @ mactual @ esk2_0 ) )
& ( ( mrel @ X50 @ ( esk9_1 @ X50 ) )
| ~ ( mrel @ esk7_0 @ X50 )
| ( mrel @ mactual @ esk2_0 ) )
& ( ~ ( f @ esk8_0 @ ( esk9_1 @ X50 ) )
| ~ ( mrel @ esk7_0 @ X50 )
| ( mrel @ mactual @ esk2_0 ) )
& ( ( mrel @ esk7_0 @ esk10_0 )
| ( mrel @ mactual @ esk2_0 ) )
& ( ~ ( mrel @ esk10_0 @ X53 )
| ~ ( eiw_di @ X54 @ X53 )
| ~ ( mrel @ X53 @ X55 )
| ( f @ X54 @ X55 )
| ( mrel @ mactual @ esk2_0 ) )
& ( ( mrel @ mactual @ esk7_0 )
| ( mrel @ X41 @ ( esk3_1 @ X41 ) )
| ~ ( mrel @ esk2_0 @ X41 ) )
& ( ( eiw_di @ esk8_0 @ esk7_0 )
| ( mrel @ X41 @ ( esk3_1 @ X41 ) )
| ~ ( mrel @ esk2_0 @ X41 ) )
& ( ( mrel @ X50 @ ( esk9_1 @ X50 ) )
| ~ ( mrel @ esk7_0 @ X50 )
| ( mrel @ X41 @ ( esk3_1 @ X41 ) )
| ~ ( mrel @ esk2_0 @ X41 ) )
& ( ~ ( f @ esk8_0 @ ( esk9_1 @ X50 ) )
| ~ ( mrel @ esk7_0 @ X50 )
| ( mrel @ X41 @ ( esk3_1 @ X41 ) )
| ~ ( mrel @ esk2_0 @ X41 ) )
& ( ( mrel @ esk7_0 @ esk10_0 )
| ( mrel @ X41 @ ( esk3_1 @ X41 ) )
| ~ ( mrel @ esk2_0 @ X41 ) )
& ( ~ ( mrel @ esk10_0 @ X53 )
| ~ ( eiw_di @ X54 @ X53 )
| ~ ( mrel @ X53 @ X55 )
| ( f @ X54 @ X55 )
| ( mrel @ X41 @ ( esk3_1 @ X41 ) )
| ~ ( mrel @ esk2_0 @ X41 ) )
& ( ( mrel @ mactual @ esk7_0 )
| ( eiw_di @ ( esk4_1 @ X41 ) @ ( esk3_1 @ X41 ) )
| ~ ( mrel @ esk2_0 @ X41 ) )
& ( ( eiw_di @ esk8_0 @ esk7_0 )
| ( eiw_di @ ( esk4_1 @ X41 ) @ ( esk3_1 @ X41 ) )
| ~ ( mrel @ esk2_0 @ X41 ) )
& ( ( mrel @ X50 @ ( esk9_1 @ X50 ) )
| ~ ( mrel @ esk7_0 @ X50 )
| ( eiw_di @ ( esk4_1 @ X41 ) @ ( esk3_1 @ X41 ) )
| ~ ( mrel @ esk2_0 @ X41 ) )
& ( ~ ( f @ esk8_0 @ ( esk9_1 @ X50 ) )
| ~ ( mrel @ esk7_0 @ X50 )
| ( eiw_di @ ( esk4_1 @ X41 ) @ ( esk3_1 @ X41 ) )
| ~ ( mrel @ esk2_0 @ X41 ) )
& ( ( mrel @ esk7_0 @ esk10_0 )
| ( eiw_di @ ( esk4_1 @ X41 ) @ ( esk3_1 @ X41 ) )
| ~ ( mrel @ esk2_0 @ X41 ) )
& ( ~ ( mrel @ esk10_0 @ X53 )
| ~ ( eiw_di @ X54 @ X53 )
| ~ ( mrel @ X53 @ X55 )
| ( f @ X54 @ X55 )
| ( eiw_di @ ( esk4_1 @ X41 ) @ ( esk3_1 @ X41 ) )
| ~ ( mrel @ esk2_0 @ X41 ) )
& ( ( mrel @ mactual @ esk7_0 )
| ( mrel @ ( esk3_1 @ X41 ) @ ( esk5_1 @ X41 ) )
| ~ ( mrel @ esk2_0 @ X41 ) )
& ( ( eiw_di @ esk8_0 @ esk7_0 )
| ( mrel @ ( esk3_1 @ X41 ) @ ( esk5_1 @ X41 ) )
| ~ ( mrel @ esk2_0 @ X41 ) )
& ( ( mrel @ X50 @ ( esk9_1 @ X50 ) )
| ~ ( mrel @ esk7_0 @ X50 )
| ( mrel @ ( esk3_1 @ X41 ) @ ( esk5_1 @ X41 ) )
| ~ ( mrel @ esk2_0 @ X41 ) )
& ( ~ ( f @ esk8_0 @ ( esk9_1 @ X50 ) )
| ~ ( mrel @ esk7_0 @ X50 )
| ( mrel @ ( esk3_1 @ X41 ) @ ( esk5_1 @ X41 ) )
| ~ ( mrel @ esk2_0 @ X41 ) )
& ( ( mrel @ esk7_0 @ esk10_0 )
| ( mrel @ ( esk3_1 @ X41 ) @ ( esk5_1 @ X41 ) )
| ~ ( mrel @ esk2_0 @ X41 ) )
& ( ~ ( mrel @ esk10_0 @ X53 )
| ~ ( eiw_di @ X54 @ X53 )
| ~ ( mrel @ X53 @ X55 )
| ( f @ X54 @ X55 )
| ( mrel @ ( esk3_1 @ X41 ) @ ( esk5_1 @ X41 ) )
| ~ ( mrel @ esk2_0 @ X41 ) )
& ( ( mrel @ mactual @ esk7_0 )
| ~ ( f @ ( esk4_1 @ X41 ) @ ( esk5_1 @ X41 ) )
| ~ ( mrel @ esk2_0 @ X41 ) )
& ( ( eiw_di @ esk8_0 @ esk7_0 )
| ~ ( f @ ( esk4_1 @ X41 ) @ ( esk5_1 @ X41 ) )
| ~ ( mrel @ esk2_0 @ X41 ) )
& ( ( mrel @ X50 @ ( esk9_1 @ X50 ) )
| ~ ( mrel @ esk7_0 @ X50 )
| ~ ( f @ ( esk4_1 @ X41 ) @ ( esk5_1 @ X41 ) )
| ~ ( mrel @ esk2_0 @ X41 ) )
& ( ~ ( f @ esk8_0 @ ( esk9_1 @ X50 ) )
| ~ ( mrel @ esk7_0 @ X50 )
| ~ ( f @ ( esk4_1 @ X41 ) @ ( esk5_1 @ X41 ) )
| ~ ( mrel @ esk2_0 @ X41 ) )
& ( ( mrel @ esk7_0 @ esk10_0 )
| ~ ( f @ ( esk4_1 @ X41 ) @ ( esk5_1 @ X41 ) )
| ~ ( mrel @ esk2_0 @ X41 ) )
& ( ~ ( mrel @ esk10_0 @ X53 )
| ~ ( eiw_di @ X54 @ X53 )
| ~ ( mrel @ X53 @ X55 )
| ( f @ X54 @ X55 )
| ~ ( f @ ( esk4_1 @ X41 ) @ ( esk5_1 @ X41 ) )
| ~ ( mrel @ esk2_0 @ X41 ) )
& ( ( mrel @ mactual @ esk7_0 )
| ( mrel @ esk2_0 @ ( esk6_1 @ X45 ) )
| ~ ( eiw_di @ X45 @ esk2_0 ) )
& ( ( eiw_di @ esk8_0 @ esk7_0 )
| ( mrel @ esk2_0 @ ( esk6_1 @ X45 ) )
| ~ ( eiw_di @ X45 @ esk2_0 ) )
& ( ( mrel @ X50 @ ( esk9_1 @ X50 ) )
| ~ ( mrel @ esk7_0 @ X50 )
| ( mrel @ esk2_0 @ ( esk6_1 @ X45 ) )
| ~ ( eiw_di @ X45 @ esk2_0 ) )
& ( ~ ( f @ esk8_0 @ ( esk9_1 @ X50 ) )
| ~ ( mrel @ esk7_0 @ X50 )
| ( mrel @ esk2_0 @ ( esk6_1 @ X45 ) )
| ~ ( eiw_di @ X45 @ esk2_0 ) )
& ( ( mrel @ esk7_0 @ esk10_0 )
| ( mrel @ esk2_0 @ ( esk6_1 @ X45 ) )
| ~ ( eiw_di @ X45 @ esk2_0 ) )
& ( ~ ( mrel @ esk10_0 @ X53 )
| ~ ( eiw_di @ X54 @ X53 )
| ~ ( mrel @ X53 @ X55 )
| ( f @ X54 @ X55 )
| ( mrel @ esk2_0 @ ( esk6_1 @ X45 ) )
| ~ ( eiw_di @ X45 @ esk2_0 ) )
& ( ( mrel @ mactual @ esk7_0 )
| ~ ( mrel @ ( esk6_1 @ X45 ) @ X47 )
| ( f @ X45 @ X47 )
| ~ ( eiw_di @ X45 @ esk2_0 ) )
& ( ( eiw_di @ esk8_0 @ esk7_0 )
| ~ ( mrel @ ( esk6_1 @ X45 ) @ X47 )
| ( f @ X45 @ X47 )
| ~ ( eiw_di @ X45 @ esk2_0 ) )
& ( ( mrel @ X50 @ ( esk9_1 @ X50 ) )
| ~ ( mrel @ esk7_0 @ X50 )
| ~ ( mrel @ ( esk6_1 @ X45 ) @ X47 )
| ( f @ X45 @ X47 )
| ~ ( eiw_di @ X45 @ esk2_0 ) )
& ( ~ ( f @ esk8_0 @ ( esk9_1 @ X50 ) )
| ~ ( mrel @ esk7_0 @ X50 )
| ~ ( mrel @ ( esk6_1 @ X45 ) @ X47 )
| ( f @ X45 @ X47 )
| ~ ( eiw_di @ X45 @ esk2_0 ) )
& ( ( mrel @ esk7_0 @ esk10_0 )
| ~ ( mrel @ ( esk6_1 @ X45 ) @ X47 )
| ( f @ X45 @ X47 )
| ~ ( eiw_di @ X45 @ esk2_0 ) )
& ( ~ ( mrel @ esk10_0 @ X53 )
| ~ ( eiw_di @ X54 @ X53 )
| ~ ( mrel @ X53 @ X55 )
| ( f @ X54 @ X55 )
| ~ ( mrel @ ( esk6_1 @ X45 ) @ X47 )
| ( f @ X45 @ X47 )
| ~ ( eiw_di @ X45 @ esk2_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_17])])])])])]) ).
thf(c_0_21,plain,
! [X6: $i,X5: mworld,X3: mworld] :
( ( eiw_di @ X6 @ X5 )
| ~ ( eiw_di @ X6 @ X3 )
| ~ ( mrel @ X5 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
thf(c_0_22,plain,
! [X3: mworld,X5: mworld] : ( mrel @ X3 @ X5 ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
thf(c_0_23,negated_conjecture,
! [X3: mworld] :
( ( eiw_di @ esk8_0 @ esk7_0 )
| ( eiw_di @ ( esk4_1 @ X3 ) @ ( esk3_1 @ X3 ) )
| ~ ( mrel @ esk2_0 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
thf(c_0_24,negated_conjecture,
! [X3: mworld,X6: $i] :
( ( eiw_di @ esk8_0 @ esk7_0 )
| ( f @ X6 @ X3 )
| ~ ( mrel @ ( esk6_1 @ X6 ) @ X3 )
| ~ ( eiw_di @ X6 @ esk2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
thf(c_0_25,plain,
! [X3: mworld,X6: $i,X5: mworld] :
( ( eiw_di @ X6 @ X3 )
| ~ ( eiw_di @ X6 @ X5 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_21,c_0_22])]) ).
thf(c_0_26,negated_conjecture,
! [X3: mworld] :
( ( eiw_di @ ( esk4_1 @ X3 ) @ ( esk3_1 @ X3 ) )
| ( eiw_di @ esk8_0 @ esk7_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_23,c_0_22])]) ).
thf(c_0_27,negated_conjecture,
! [X3: mworld] :
( ( eiw_di @ esk8_0 @ esk7_0 )
| ~ ( f @ ( esk4_1 @ X3 ) @ ( esk5_1 @ X3 ) )
| ~ ( mrel @ esk2_0 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
thf(c_0_28,negated_conjecture,
! [X3: mworld,X6: $i] :
( ( eiw_di @ esk8_0 @ esk7_0 )
| ( f @ X6 @ X3 )
| ~ ( eiw_di @ X6 @ esk2_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_22])]) ).
thf(c_0_29,negated_conjecture,
! [X3: mworld,X5: mworld] :
( ( eiw_di @ esk8_0 @ esk7_0 )
| ( eiw_di @ ( esk4_1 @ X3 ) @ X5 ) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
thf(c_0_30,negated_conjecture,
! [X3: mworld] :
( ( eiw_di @ esk8_0 @ esk7_0 )
| ~ ( f @ ( esk4_1 @ X3 ) @ ( esk5_1 @ X3 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_27,c_0_22])]) ).
thf(c_0_31,negated_conjecture,
! [X3: mworld,X5: mworld] :
( ( f @ ( esk4_1 @ X3 ) @ X5 )
| ( eiw_di @ esk8_0 @ esk7_0 ) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
thf(c_0_32,negated_conjecture,
! [X3: mworld,X5: mworld,X6: $i,X10: mworld,X9: $i] :
( ( f @ X6 @ X5 )
| ( f @ X9 @ X10 )
| ~ ( mrel @ esk10_0 @ X3 )
| ~ ( eiw_di @ X6 @ X3 )
| ~ ( mrel @ X3 @ X5 )
| ~ ( mrel @ ( esk6_1 @ X9 ) @ X10 )
| ~ ( eiw_di @ X9 @ esk2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
thf(c_0_33,negated_conjecture,
eiw_di @ esk8_0 @ esk7_0,
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
thf(c_0_34,negated_conjecture,
! [X3: mworld,X5: mworld,X6: $i,X9: $i,X10: mworld] :
( ( f @ X6 @ X3 )
| ( f @ X9 @ X5 )
| ~ ( eiw_di @ X9 @ esk2_0 )
| ~ ( eiw_di @ X6 @ X10 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_32,c_0_22]),c_0_22]),c_0_22])]) ).
thf(c_0_35,negated_conjecture,
! [X3: mworld] : ( eiw_di @ esk8_0 @ X3 ),
inference(spm,[status(thm)],[c_0_25,c_0_33]) ).
thf(c_0_36,negated_conjecture,
! [X3: mworld,X5: mworld,X6: $i] :
( ( f @ esk8_0 @ X3 )
| ( f @ X6 @ X5 )
| ~ ( eiw_di @ X6 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
thf(c_0_37,negated_conjecture,
! [X3: mworld,X5: mworld] :
( ( eiw_di @ ( esk4_1 @ X5 ) @ ( esk3_1 @ X5 ) )
| ~ ( f @ esk8_0 @ ( esk9_1 @ X3 ) )
| ~ ( mrel @ esk7_0 @ X3 )
| ~ ( mrel @ esk2_0 @ X5 ) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
thf(c_0_38,negated_conjecture,
! [X3: mworld,X5: mworld] :
( ( f @ esk8_0 @ X3 )
| ( f @ esk8_0 @ X5 ) ),
inference(spm,[status(thm)],[c_0_36,c_0_35]) ).
thf(c_0_39,negated_conjecture,
! [X3: mworld,X5: mworld] :
( ~ ( f @ esk8_0 @ ( esk9_1 @ X3 ) )
| ~ ( mrel @ esk7_0 @ X3 )
| ~ ( f @ ( esk4_1 @ X5 ) @ ( esk5_1 @ X5 ) )
| ~ ( mrel @ esk2_0 @ X5 ) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
thf(c_0_40,negated_conjecture,
! [X3: mworld,X5: mworld,X6: $i] :
( ( f @ X6 @ X5 )
| ~ ( f @ esk8_0 @ ( esk9_1 @ X3 ) )
| ~ ( mrel @ esk7_0 @ X3 )
| ~ ( mrel @ ( esk6_1 @ X6 ) @ X5 )
| ~ ( eiw_di @ X6 @ esk2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
thf(c_0_41,negated_conjecture,
! [X3: mworld,X5: mworld] :
( ( eiw_di @ ( esk4_1 @ X3 ) @ ( esk3_1 @ X3 ) )
| ~ ( f @ esk8_0 @ ( esk9_1 @ X5 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_37,c_0_22]),c_0_22])]) ).
thf(c_0_42,negated_conjecture,
! [X3: mworld] : ( f @ esk8_0 @ X3 ),
inference(ef,[status(thm)],[c_0_38]) ).
thf(c_0_43,negated_conjecture,
! [X3: mworld,X5: mworld] :
( ~ ( f @ ( esk4_1 @ X3 ) @ ( esk5_1 @ X3 ) )
| ~ ( f @ esk8_0 @ ( esk9_1 @ X5 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_39,c_0_22]),c_0_22])]) ).
thf(c_0_44,negated_conjecture,
! [X3: mworld,X5: mworld,X6: $i] :
( ( f @ X6 @ X3 )
| ~ ( f @ esk8_0 @ ( esk9_1 @ X5 ) )
| ~ ( eiw_di @ X6 @ esk2_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_40,c_0_22]),c_0_22])]) ).
thf(c_0_45,negated_conjecture,
! [X3: mworld] : ( eiw_di @ ( esk4_1 @ X3 ) @ ( esk3_1 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_41,c_0_42])]) ).
thf(c_0_46,negated_conjecture,
! [X3: mworld] :
~ ( f @ ( esk4_1 @ X3 ) @ ( esk5_1 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_43,c_0_42])]) ).
thf(c_0_47,negated_conjecture,
! [X3: mworld,X6: $i] :
( ( f @ X6 @ X3 )
| ~ ( eiw_di @ X6 @ esk2_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_44,c_0_42])]) ).
thf(c_0_48,negated_conjecture,
! [X3: mworld,X5: mworld] : ( eiw_di @ ( esk4_1 @ X3 ) @ X5 ),
inference(spm,[status(thm)],[c_0_25,c_0_45]) ).
thf(c_0_49,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_48])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL959^24 : TPTP v8.2.0. Released v8.1.0.
% 0.07/0.13 % Command : run_E %s %d THM
% 0.13/0.34 % Computer : n022.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon May 20 01:28:08 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.20/0.50 Running higher-order theorem proving
% 0.20/0.50 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/benchmark/theBenchmark.p
% 0.20/0.52 # Version: 3.1.0-ho
% 0.20/0.52 # Preprocessing class: HSMSSMSSMLMNHSN.
% 0.20/0.52 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.52 # Starting ho_unfolding_3 with 1500s (5) cores
% 0.20/0.52 # Starting ehoh_best2_full_lfho with 300s (1) cores
% 0.20/0.52 # Starting almost_fo_3_lam with 300s (1) cores
% 0.20/0.52 # Starting post_as_ho1 with 300s (1) cores
% 0.20/0.52 # ehoh_best2_full_lfho with pid 25656 completed with status 0
% 0.20/0.52 # Result found by ehoh_best2_full_lfho
% 0.20/0.52 # Preprocessing class: HSMSSMSSMLMNHSN.
% 0.20/0.52 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.52 # Starting ho_unfolding_3 with 1500s (5) cores
% 0.20/0.52 # Starting ehoh_best2_full_lfho with 300s (1) cores
% 0.20/0.52 # No SInE strategy applied
% 0.20/0.52 # Search class: HGHNS-FFMS11-SHSSMFNN
% 0.20/0.52 # partial match(1): HGHNS-FFMF11-SHSSMFNN
% 0.20/0.52 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.52 # Starting sh3 with 163s (1) cores
% 0.20/0.52 # sh3 with pid 25659 completed with status 0
% 0.20/0.52 # Result found by sh3
% 0.20/0.52 # Preprocessing class: HSMSSMSSMLMNHSN.
% 0.20/0.52 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.52 # Starting ho_unfolding_3 with 1500s (5) cores
% 0.20/0.52 # Starting ehoh_best2_full_lfho with 300s (1) cores
% 0.20/0.52 # No SInE strategy applied
% 0.20/0.52 # Search class: HGHNS-FFMS11-SHSSMFNN
% 0.20/0.52 # partial match(1): HGHNS-FFMF11-SHSSMFNN
% 0.20/0.52 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.52 # Starting sh3 with 163s (1) cores
% 0.20/0.52 # Preprocessing time : 0.002 s
% 0.20/0.52 # Presaturation interreduction done
% 0.20/0.52
% 0.20/0.52 # Proof found!
% 0.20/0.52 # SZS status Theorem
% 0.20/0.52 # SZS output start CNFRefutation
% See solution above
% 0.20/0.52 # Parsed axioms : 29
% 0.20/0.52 # Removed by relevancy pruning/SinE : 0
% 0.20/0.52 # Initial clauses : 60
% 0.20/0.52 # Removed in clause preprocessing : 15
% 0.20/0.52 # Initial clauses in saturation : 45
% 0.20/0.52 # Processed clauses : 71
% 0.20/0.52 # ...of these trivial : 33
% 0.20/0.52 # ...subsumed : 1
% 0.20/0.52 # ...remaining for further processing : 37
% 0.20/0.52 # Other redundant clauses eliminated : 0
% 0.20/0.52 # Clauses deleted for lack of memory : 0
% 0.20/0.52 # Backward-subsumed : 5
% 0.20/0.52 # Backward-rewritten : 12
% 0.20/0.52 # Generated clauses : 30
% 0.20/0.52 # ...of the previous two non-redundant : 29
% 0.20/0.52 # ...aggressively subsumed : 0
% 0.20/0.52 # Contextual simplify-reflections : 0
% 0.20/0.52 # Paramodulations : 28
% 0.20/0.52 # Factorizations : 2
% 0.20/0.52 # NegExts : 0
% 0.20/0.52 # Equation resolutions : 0
% 0.20/0.52 # Disequality decompositions : 0
% 0.20/0.52 # Total rewrite steps : 120
% 0.20/0.52 # ...of those cached : 86
% 0.20/0.52 # Propositional unsat checks : 0
% 0.20/0.52 # Propositional check models : 0
% 0.20/0.52 # Propositional check unsatisfiable : 0
% 0.20/0.52 # Propositional clauses : 0
% 0.20/0.52 # Propositional clauses after purity: 0
% 0.20/0.52 # Propositional unsat core size : 0
% 0.20/0.52 # Propositional preprocessing time : 0.000
% 0.20/0.52 # Propositional encoding time : 0.000
% 0.20/0.52 # Propositional solver time : 0.000
% 0.20/0.52 # Success case prop preproc time : 0.000
% 0.20/0.52 # Success case prop encoding time : 0.000
% 0.20/0.52 # Success case prop solver time : 0.000
% 0.20/0.52 # Current number of processed clauses : 8
% 0.20/0.52 # Positive orientable unit clauses : 5
% 0.20/0.52 # Positive unorientable unit clauses: 0
% 0.20/0.52 # Negative unit clauses : 1
% 0.20/0.52 # Non-unit-clauses : 2
% 0.20/0.52 # Current number of unprocessed clauses: 12
% 0.20/0.52 # ...number of literals in the above : 28
% 0.20/0.52 # Current number of archived formulas : 0
% 0.20/0.52 # Current number of archived clauses : 29
% 0.20/0.52 # Clause-clause subsumption calls (NU) : 35
% 0.20/0.52 # Rec. Clause-clause subsumption calls : 23
% 0.20/0.52 # Non-unit clause-clause subsumptions : 4
% 0.20/0.52 # Unit Clause-clause subsumption calls : 7
% 0.20/0.52 # Rewrite failures with RHS unbound : 0
% 0.20/0.52 # BW rewrite match attempts : 8
% 0.20/0.52 # BW rewrite match successes : 8
% 0.20/0.52 # Condensation attempts : 0
% 0.20/0.52 # Condensation successes : 0
% 0.20/0.52 # Termbank termtop insertions : 3979
% 0.20/0.52 # Search garbage collected termcells : 1005
% 0.20/0.52
% 0.20/0.52 # -------------------------------------------------
% 0.20/0.52 # User time : 0.006 s
% 0.20/0.52 # System time : 0.004 s
% 0.20/0.52 # Total time : 0.010 s
% 0.20/0.52 # Maximum resident set size: 1884 pages
% 0.20/0.52
% 0.20/0.52 # -------------------------------------------------
% 0.20/0.52 # User time : 0.006 s
% 0.20/0.52 # System time : 0.007 s
% 0.20/0.52 # Total time : 0.013 s
% 0.20/0.52 # Maximum resident set size: 1752 pages
% 0.20/0.52 % E---3.1 exiting
% 0.20/0.52 % E exiting
%------------------------------------------------------------------------------