TSTP Solution File: SEV260^5 by E---3.1.00
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%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : SEV260^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n020.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 : Tue May 21 04:08:05 EDT 2024
% Result : Theorem 1.69s 0.69s
% Output : CNFRefutation 1.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 25
% Syntax : Number of formulae : 51 ( 4 unt; 23 typ; 0 def)
% Number of atoms : 175 ( 12 equ; 0 cnn)
% Maximal formula atoms : 56 ( 6 avg)
% Number of connectives : 1320 ( 146 ~; 157 |; 88 &; 860 @)
% ( 22 <=>; 47 =>; 0 <=; 0 <~>)
% Maximal formula depth : 59 ( 12 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 326 ( 326 >; 0 *; 0 +; 0 <<)
% Number of symbols : 24 ( 21 usr; 2 con; 0-6 aty)
% Number of variables : 181 ( 30 ^ 145 !; 6 ?; 181 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
a: $tType ).
thf(decl_sort2,type,
b: $tType ).
thf(decl_22,type,
epred1_3: ( ( a > $o ) > $o ) > ( ( b > $o ) > $o ) > ( a > b ) > $o ).
thf(decl_23,type,
epred2_0: ( a > $o ) > $o ).
thf(decl_24,type,
epred3_0: ( b > $o ) > $o ).
thf(decl_25,type,
esk1_0: a > b ).
thf(decl_26,type,
epred4_0: b > $o ).
thf(decl_27,type,
esk2_1: ( b > $o ) > b ).
thf(decl_28,type,
epred5_0: a > $o ).
thf(decl_29,type,
epred6_0: a > $o ).
thf(decl_30,type,
esk3_4: ( a > b ) > ( ( b > $o ) > $o ) > ( ( a > $o ) > $o ) > ( a > $o ) > a ).
thf(decl_31,type,
esk4_4: ( a > b ) > ( ( b > $o ) > $o ) > ( ( a > $o ) > $o ) > ( a > $o ) > a ).
thf(decl_32,type,
epred7_5: ( a > b ) > ( ( b > $o ) > $o ) > ( ( a > $o ) > $o ) > ( ( a > $o ) > $o ) > ( a > $o ) > a > $o ).
thf(decl_33,type,
esk5_5: ( a > b ) > ( ( b > $o ) > $o ) > ( ( a > $o ) > $o ) > ( ( a > $o ) > $o ) > ( a > $o ) > a ).
thf(decl_34,type,
epred8_5: ( a > b ) > ( ( b > $o ) > $o ) > ( ( a > $o ) > $o ) > ( ( a > $o ) > $o ) > ( a > $o ) > a > $o ).
thf(decl_35,type,
esk6_6: ( a > b ) > ( ( b > $o ) > $o ) > ( ( a > $o ) > $o ) > ( a > $o ) > ( a > $o ) > ( a > $o ) > a ).
thf(decl_36,type,
esk7_4: ( a > b ) > ( ( b > $o ) > $o ) > ( ( a > $o ) > $o ) > ( b > $o ) > b ).
thf(decl_37,type,
esk8_4: ( a > b ) > ( ( b > $o ) > $o ) > ( ( a > $o ) > $o ) > ( b > $o ) > b ).
thf(decl_38,type,
epred9_5: ( a > b ) > ( ( b > $o ) > $o ) > ( ( a > $o ) > $o ) > ( ( b > $o ) > $o ) > ( b > $o ) > b > $o ).
thf(decl_39,type,
esk9_5: ( a > b ) > ( ( b > $o ) > $o ) > ( ( a > $o ) > $o ) > ( ( b > $o ) > $o ) > ( b > $o ) > b ).
thf(decl_40,type,
epred10_5: ( a > b ) > ( ( b > $o ) > $o ) > ( ( a > $o ) > $o ) > ( ( b > $o ) > $o ) > ( b > $o ) > b > $o ).
thf(decl_41,type,
esk10_6: ( a > b ) > ( ( b > $o ) > $o ) > ( ( a > $o ) > $o ) > ( b > $o ) > ( b > $o ) > ( b > $o ) > b ).
thf(decl_42,type,
esk11_5: ( a > b ) > ( ( b > $o ) > $o ) > ( ( a > $o ) > $o ) > ( b > $o ) > ( a > $o ) > a ).
thf(cCLOSED_THM1_pme,conjecture,
! [X1: ( a > $o ) > $o,X2: ( b > $o ) > $o,X3: a > b] :
( ( ! [X4: a > $o] :
( ( X4
= ( ^ [X5: a] : ~ $true ) )
=> ( X1 @ X4 ) )
& ! [X4: a > $o] :
( ( X4
= ( ^ [X5: a] :
~ ~ $true ) )
=> ( X1 @ X4 ) )
& ! [X6: ( a > $o ) > $o,X4: a > $o] :
( ( ! [X7: a > $o] :
( ( X6 @ X7 )
=> ( X1 @ X7 ) )
& ( X4
= ( ^ [X5: a] :
? [X8: a > $o] :
( ( X6 @ X8 )
& ( X8 @ X5 ) ) ) ) )
=> ( X1 @ X4 ) )
& ! [X9: a > $o,X10: a > $o,X8: a > $o] :
( ( ( X1 @ X9 )
& ( X1 @ X10 )
& ( X8
= ( ^ [X5: a] :
( ( X9 @ X5 )
& ( X10 @ X5 ) ) ) ) )
=> ( X1 @ X8 ) )
& ! [X11: b > $o] :
( ( X11
= ( ^ [X12: b] : ~ $true ) )
=> ( X2 @ X11 ) )
& ! [X13: b > $o] :
( ( X13
= ( ^ [X14: b] :
~ ~ $true ) )
=> ( X2 @ X13 ) )
& ! [X15: ( b > $o ) > $o,X16: b > $o] :
( ( ! [X17: b > $o] :
( ( X15 @ X17 )
=> ( X2 @ X17 ) )
& ( X16
= ( ^ [X18: b] :
? [X19: b > $o] :
( ( X15 @ X19 )
& ( X19 @ X18 ) ) ) ) )
=> ( X2 @ X16 ) )
& ! [X20: b > $o,X21: b > $o,X22: b > $o] :
( ( ( X2 @ X20 )
& ( X2 @ X21 )
& ( X22
= ( ^ [X23: b] :
( ( X20 @ X23 )
& ( X21 @ X23 ) ) ) ) )
=> ( X2 @ X22 ) )
& ! [X24: b > $o] :
( ( X2 @ X24 )
=> ! [X9: a > $o] :
( ( X9
= ( ^ [X25: a] : ( X24 @ ( X3 @ X25 ) ) ) )
=> ( X1 @ X9 ) ) ) )
=> ! [X24: b > $o] :
( ! [X26: b > $o] :
( ( X26
= ( ^ [X27: b] :
~ ( X24 @ X27 ) ) )
=> ( X2 @ X26 ) )
=> ! [X9: a > $o] :
( ( X9
= ( ^ [X25: a] : ( X24 @ ( X3 @ X25 ) ) ) )
=> ! [X4: a > $o] :
( ( X4
= ( ^ [X5: a] :
~ ( X9 @ X5 ) ) )
=> ( X1 @ X4 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cCLOSED_THM1_pme) ).
thf(c_0_1,plain,
! [X3: a > b,X2: ( b > $o ) > $o,X1: ( a > $o ) > $o] :
( ( epred1_3 @ X1 @ X2 @ X3 )
<=> ( ! [X4: a > $o] :
( ! [X53: a] :
( ( X4 @ X53 )
<=> ~ $true )
=> ( X1 @ X4 ) )
& ! [X4: a > $o] :
( ! [X54: a] :
( ( X4 @ X54 )
<=> ~ ~ $true )
=> ( X1 @ X4 ) )
& ! [X6: ( a > $o ) > $o,X4: a > $o] :
( ( ! [X7: a > $o] :
( ( X6 @ X7 )
=> ( X1 @ X7 ) )
& ! [X55: a] :
( ( X4 @ X55 )
<=> ? [X8: a > $o] :
( ( X6 @ X8 )
& ( X8 @ X55 ) ) ) )
=> ( X1 @ X4 ) )
& ! [X9: a > $o,X10: a > $o,X8: a > $o] :
( ( ( X1 @ X9 )
& ( X1 @ X10 )
& ! [X56: a] :
( ( X8 @ X56 )
<=> ( ( X9 @ X56 )
& ( X10 @ X56 ) ) ) )
=> ( X1 @ X8 ) )
& ! [X11: b > $o] :
( ! [X57: b] :
( ( X11 @ X57 )
<=> ~ $true )
=> ( X2 @ X11 ) )
& ! [X13: b > $o] :
( ! [X58: b] :
( ( X13 @ X58 )
<=> ~ ~ $true )
=> ( X2 @ X13 ) )
& ! [X15: ( b > $o ) > $o,X16: b > $o] :
( ( ! [X17: b > $o] :
( ( X15 @ X17 )
=> ( X2 @ X17 ) )
& ! [X59: b] :
( ( X16 @ X59 )
<=> ? [X19: b > $o] :
( ( X15 @ X19 )
& ( X19 @ X59 ) ) ) )
=> ( X2 @ X16 ) )
& ! [X20: b > $o,X21: b > $o,X22: b > $o] :
( ( ( X2 @ X20 )
& ( X2 @ X21 )
& ! [X60: b] :
( ( X22 @ X60 )
<=> ( ( X20 @ X60 )
& ( X21 @ X60 ) ) ) )
=> ( X2 @ X22 ) )
& ! [X24: b > $o] :
( ( X2 @ X24 )
=> ! [X9: a > $o] :
( ! [X61: a] :
( ( X9 @ X61 )
<=> ( X24 @ ( X3 @ X61 ) ) )
=> ( X1 @ X9 ) ) ) ) ),
introduced(definition) ).
thf(c_0_2,plain,
! [X3: a > b,X2: ( b > $o ) > $o,X1: ( a > $o ) > $o] :
( ( epred1_3 @ X1 @ X2 @ X3 )
=> ( ! [X4: a > $o] :
( ! [X53: a] :
( ( X4 @ X53 )
<=> ~ $true )
=> ( X1 @ X4 ) )
& ! [X4: a > $o] :
( ! [X54: a] :
( ( X4 @ X54 )
<=> ~ ~ $true )
=> ( X1 @ X4 ) )
& ! [X6: ( a > $o ) > $o,X4: a > $o] :
( ( ! [X7: a > $o] :
( ( X6 @ X7 )
=> ( X1 @ X7 ) )
& ! [X55: a] :
( ( X4 @ X55 )
<=> ? [X8: a > $o] :
( ( X6 @ X8 )
& ( X8 @ X55 ) ) ) )
=> ( X1 @ X4 ) )
& ! [X9: a > $o,X10: a > $o,X8: a > $o] :
( ( ( X1 @ X9 )
& ( X1 @ X10 )
& ! [X56: a] :
( ( X8 @ X56 )
<=> ( ( X9 @ X56 )
& ( X10 @ X56 ) ) ) )
=> ( X1 @ X8 ) )
& ! [X11: b > $o] :
( ! [X57: b] :
( ( X11 @ X57 )
<=> ~ $true )
=> ( X2 @ X11 ) )
& ! [X13: b > $o] :
( ! [X58: b] :
( ( X13 @ X58 )
<=> ~ ~ $true )
=> ( X2 @ X13 ) )
& ! [X15: ( b > $o ) > $o,X16: b > $o] :
( ( ! [X17: b > $o] :
( ( X15 @ X17 )
=> ( X2 @ X17 ) )
& ! [X59: b] :
( ( X16 @ X59 )
<=> ? [X19: b > $o] :
( ( X15 @ X19 )
& ( X19 @ X59 ) ) ) )
=> ( X2 @ X16 ) )
& ! [X20: b > $o,X21: b > $o,X22: b > $o] :
( ( ( X2 @ X20 )
& ( X2 @ X21 )
& ! [X60: b] :
( ( X22 @ X60 )
<=> ( ( X20 @ X60 )
& ( X21 @ X60 ) ) ) )
=> ( X2 @ X22 ) )
& ! [X24: b > $o] :
( ( X2 @ X24 )
=> ! [X9: a > $o] :
( ! [X61: a] :
( ( X9 @ X61 )
<=> ( X24 @ ( X3 @ X61 ) ) )
=> ( X1 @ X9 ) ) ) ) ),
inference(split_equiv,[status(thm)],[c_0_1]) ).
thf(c_0_3,negated_conjecture,
~ ! [X1: ( a > $o ) > $o,X2: ( b > $o ) > $o,X3: a > b] :
( ( epred1_3 @ X1 @ X2 @ X3 )
=> ! [X24: b > $o] :
( ! [X26: b > $o] :
( ! [X62: b] :
( ( X26 @ X62 )
<=> ~ ( X24 @ X62 ) )
=> ( X2 @ X26 ) )
=> ! [X9: a > $o] :
( ! [X63: a] :
( ( X9 @ X63 )
<=> ( X24 @ ( X3 @ X63 ) ) )
=> ! [X4: a > $o] :
( ! [X64: a] :
( ( X4 @ X64 )
<=> ~ ( X9 @ X64 ) )
=> ( X1 @ X4 ) ) ) ) ),
inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[cCLOSED_THM1_pme])])]),c_0_1]) ).
thf(c_0_4,plain,
! [X75: a > b,X76: ( b > $o ) > $o,X77: ( a > $o ) > $o,X78: a > $o,X80: a > $o,X82: ( a > $o ) > $o,X83: a > $o,X86: a > $o,X88: a > $o,X89: a > $o,X90: a > $o,X92: b > $o,X94: b > $o,X96: ( b > $o ) > $o,X97: b > $o,X100: b > $o,X102: b > $o,X103: b > $o,X104: b > $o,X106: b > $o,X107: a > $o] :
( ( ~ ( X78 @ ( esk3_4 @ X75 @ X76 @ X77 @ X78 ) )
| $true
| ( X77 @ X78 )
| ~ ( epred1_3 @ X77 @ X76 @ X75 ) )
& ( ( X78 @ ( esk3_4 @ X75 @ X76 @ X77 @ X78 ) )
| ~ $true
| ( X77 @ X78 )
| ~ ( epred1_3 @ X77 @ X76 @ X75 ) )
& ( ~ ( X80 @ ( esk4_4 @ X75 @ X76 @ X77 @ X80 ) )
| ~ $true
| ( X77 @ X80 )
| ~ ( epred1_3 @ X77 @ X76 @ X75 ) )
& ( ( X80 @ ( esk4_4 @ X75 @ X76 @ X77 @ X80 ) )
| $true
| ( X77 @ X80 )
| ~ ( epred1_3 @ X77 @ X76 @ X75 ) )
& ( ~ ( X83 @ ( esk5_5 @ X75 @ X76 @ X77 @ X82 @ X83 ) )
| ~ ( X82 @ X86 )
| ~ ( X86 @ ( esk5_5 @ X75 @ X76 @ X77 @ X82 @ X83 ) )
| ( X82 @ ( epred7_5 @ X75 @ X76 @ X77 @ X82 @ X83 ) )
| ( X77 @ X83 )
| ~ ( epred1_3 @ X77 @ X76 @ X75 ) )
& ( ( X82 @ ( epred8_5 @ X75 @ X76 @ X77 @ X82 @ X83 ) )
| ( X83 @ ( esk5_5 @ X75 @ X76 @ X77 @ X82 @ X83 ) )
| ( X82 @ ( epred7_5 @ X75 @ X76 @ X77 @ X82 @ X83 ) )
| ( X77 @ X83 )
| ~ ( epred1_3 @ X77 @ X76 @ X75 ) )
& ( ( epred8_5 @ X75 @ X76 @ X77 @ X82 @ X83 @ ( esk5_5 @ X75 @ X76 @ X77 @ X82 @ X83 ) )
| ( X83 @ ( esk5_5 @ X75 @ X76 @ X77 @ X82 @ X83 ) )
| ( X82 @ ( epred7_5 @ X75 @ X76 @ X77 @ X82 @ X83 ) )
| ( X77 @ X83 )
| ~ ( epred1_3 @ X77 @ X76 @ X75 ) )
& ( ~ ( X83 @ ( esk5_5 @ X75 @ X76 @ X77 @ X82 @ X83 ) )
| ~ ( X82 @ X86 )
| ~ ( X86 @ ( esk5_5 @ X75 @ X76 @ X77 @ X82 @ X83 ) )
| ~ ( X77 @ ( epred7_5 @ X75 @ X76 @ X77 @ X82 @ X83 ) )
| ( X77 @ X83 )
| ~ ( epred1_3 @ X77 @ X76 @ X75 ) )
& ( ( X82 @ ( epred8_5 @ X75 @ X76 @ X77 @ X82 @ X83 ) )
| ( X83 @ ( esk5_5 @ X75 @ X76 @ X77 @ X82 @ X83 ) )
| ~ ( X77 @ ( epred7_5 @ X75 @ X76 @ X77 @ X82 @ X83 ) )
| ( X77 @ X83 )
| ~ ( epred1_3 @ X77 @ X76 @ X75 ) )
& ( ( epred8_5 @ X75 @ X76 @ X77 @ X82 @ X83 @ ( esk5_5 @ X75 @ X76 @ X77 @ X82 @ X83 ) )
| ( X83 @ ( esk5_5 @ X75 @ X76 @ X77 @ X82 @ X83 ) )
| ~ ( X77 @ ( epred7_5 @ X75 @ X76 @ X77 @ X82 @ X83 ) )
| ( X77 @ X83 )
| ~ ( epred1_3 @ X77 @ X76 @ X75 ) )
& ( ~ ( X90 @ ( esk6_6 @ X75 @ X76 @ X77 @ X88 @ X89 @ X90 ) )
| ~ ( X88 @ ( esk6_6 @ X75 @ X76 @ X77 @ X88 @ X89 @ X90 ) )
| ~ ( X89 @ ( esk6_6 @ X75 @ X76 @ X77 @ X88 @ X89 @ X90 ) )
| ~ ( X77 @ X88 )
| ~ ( X77 @ X89 )
| ( X77 @ X90 )
| ~ ( epred1_3 @ X77 @ X76 @ X75 ) )
& ( ( X88 @ ( esk6_6 @ X75 @ X76 @ X77 @ X88 @ X89 @ X90 ) )
| ( X90 @ ( esk6_6 @ X75 @ X76 @ X77 @ X88 @ X89 @ X90 ) )
| ~ ( X77 @ X88 )
| ~ ( X77 @ X89 )
| ( X77 @ X90 )
| ~ ( epred1_3 @ X77 @ X76 @ X75 ) )
& ( ( X89 @ ( esk6_6 @ X75 @ X76 @ X77 @ X88 @ X89 @ X90 ) )
| ( X90 @ ( esk6_6 @ X75 @ X76 @ X77 @ X88 @ X89 @ X90 ) )
| ~ ( X77 @ X88 )
| ~ ( X77 @ X89 )
| ( X77 @ X90 )
| ~ ( epred1_3 @ X77 @ X76 @ X75 ) )
& ( ~ ( X92 @ ( esk7_4 @ X75 @ X76 @ X77 @ X92 ) )
| $true
| ( X76 @ X92 )
| ~ ( epred1_3 @ X77 @ X76 @ X75 ) )
& ( ( X92 @ ( esk7_4 @ X75 @ X76 @ X77 @ X92 ) )
| ~ $true
| ( X76 @ X92 )
| ~ ( epred1_3 @ X77 @ X76 @ X75 ) )
& ( ~ ( X94 @ ( esk8_4 @ X75 @ X76 @ X77 @ X94 ) )
| ~ $true
| ( X76 @ X94 )
| ~ ( epred1_3 @ X77 @ X76 @ X75 ) )
& ( ( X94 @ ( esk8_4 @ X75 @ X76 @ X77 @ X94 ) )
| $true
| ( X76 @ X94 )
| ~ ( epred1_3 @ X77 @ X76 @ X75 ) )
& ( ~ ( X97 @ ( esk9_5 @ X75 @ X76 @ X77 @ X96 @ X97 ) )
| ~ ( X96 @ X100 )
| ~ ( X100 @ ( esk9_5 @ X75 @ X76 @ X77 @ X96 @ X97 ) )
| ( X96 @ ( epred9_5 @ X75 @ X76 @ X77 @ X96 @ X97 ) )
| ( X76 @ X97 )
| ~ ( epred1_3 @ X77 @ X76 @ X75 ) )
& ( ( X96 @ ( epred10_5 @ X75 @ X76 @ X77 @ X96 @ X97 ) )
| ( X97 @ ( esk9_5 @ X75 @ X76 @ X77 @ X96 @ X97 ) )
| ( X96 @ ( epred9_5 @ X75 @ X76 @ X77 @ X96 @ X97 ) )
| ( X76 @ X97 )
| ~ ( epred1_3 @ X77 @ X76 @ X75 ) )
& ( ( epred10_5 @ X75 @ X76 @ X77 @ X96 @ X97 @ ( esk9_5 @ X75 @ X76 @ X77 @ X96 @ X97 ) )
| ( X97 @ ( esk9_5 @ X75 @ X76 @ X77 @ X96 @ X97 ) )
| ( X96 @ ( epred9_5 @ X75 @ X76 @ X77 @ X96 @ X97 ) )
| ( X76 @ X97 )
| ~ ( epred1_3 @ X77 @ X76 @ X75 ) )
& ( ~ ( X97 @ ( esk9_5 @ X75 @ X76 @ X77 @ X96 @ X97 ) )
| ~ ( X96 @ X100 )
| ~ ( X100 @ ( esk9_5 @ X75 @ X76 @ X77 @ X96 @ X97 ) )
| ~ ( X76 @ ( epred9_5 @ X75 @ X76 @ X77 @ X96 @ X97 ) )
| ( X76 @ X97 )
| ~ ( epred1_3 @ X77 @ X76 @ X75 ) )
& ( ( X96 @ ( epred10_5 @ X75 @ X76 @ X77 @ X96 @ X97 ) )
| ( X97 @ ( esk9_5 @ X75 @ X76 @ X77 @ X96 @ X97 ) )
| ~ ( X76 @ ( epred9_5 @ X75 @ X76 @ X77 @ X96 @ X97 ) )
| ( X76 @ X97 )
| ~ ( epred1_3 @ X77 @ X76 @ X75 ) )
& ( ( epred10_5 @ X75 @ X76 @ X77 @ X96 @ X97 @ ( esk9_5 @ X75 @ X76 @ X77 @ X96 @ X97 ) )
| ( X97 @ ( esk9_5 @ X75 @ X76 @ X77 @ X96 @ X97 ) )
| ~ ( X76 @ ( epred9_5 @ X75 @ X76 @ X77 @ X96 @ X97 ) )
| ( X76 @ X97 )
| ~ ( epred1_3 @ X77 @ X76 @ X75 ) )
& ( ~ ( X104 @ ( esk10_6 @ X75 @ X76 @ X77 @ X102 @ X103 @ X104 ) )
| ~ ( X102 @ ( esk10_6 @ X75 @ X76 @ X77 @ X102 @ X103 @ X104 ) )
| ~ ( X103 @ ( esk10_6 @ X75 @ X76 @ X77 @ X102 @ X103 @ X104 ) )
| ~ ( X76 @ X102 )
| ~ ( X76 @ X103 )
| ( X76 @ X104 )
| ~ ( epred1_3 @ X77 @ X76 @ X75 ) )
& ( ( X102 @ ( esk10_6 @ X75 @ X76 @ X77 @ X102 @ X103 @ X104 ) )
| ( X104 @ ( esk10_6 @ X75 @ X76 @ X77 @ X102 @ X103 @ X104 ) )
| ~ ( X76 @ X102 )
| ~ ( X76 @ X103 )
| ( X76 @ X104 )
| ~ ( epred1_3 @ X77 @ X76 @ X75 ) )
& ( ( X103 @ ( esk10_6 @ X75 @ X76 @ X77 @ X102 @ X103 @ X104 ) )
| ( X104 @ ( esk10_6 @ X75 @ X76 @ X77 @ X102 @ X103 @ X104 ) )
| ~ ( X76 @ X102 )
| ~ ( X76 @ X103 )
| ( X76 @ X104 )
| ~ ( epred1_3 @ X77 @ X76 @ X75 ) )
& ( ~ ( X107 @ ( esk11_5 @ X75 @ X76 @ X77 @ X106 @ X107 ) )
| ~ ( X106 @ ( X75 @ ( esk11_5 @ X75 @ X76 @ X77 @ X106 @ X107 ) ) )
| ( X77 @ X107 )
| ~ ( X76 @ X106 )
| ~ ( epred1_3 @ X77 @ X76 @ X75 ) )
& ( ( X107 @ ( esk11_5 @ X75 @ X76 @ X77 @ X106 @ X107 ) )
| ( X106 @ ( X75 @ ( esk11_5 @ X75 @ X76 @ X77 @ X106 @ X107 ) ) )
| ( X77 @ X107 )
| ~ ( X76 @ X106 )
| ~ ( epred1_3 @ X77 @ X76 @ X75 ) ) ),
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_2])])])])])]) ).
thf(c_0_5,negated_conjecture,
! [X69: b > $o,X72: a,X74: a] :
( ( epred1_3 @ epred2_0 @ epred3_0 @ esk1_0 )
& ( ~ ( X69 @ ( esk2_1 @ X69 ) )
| ( epred4_0 @ ( esk2_1 @ X69 ) )
| ( epred3_0 @ X69 ) )
& ( ( X69 @ ( esk2_1 @ X69 ) )
| ~ ( epred4_0 @ ( esk2_1 @ X69 ) )
| ( epred3_0 @ X69 ) )
& ( ~ ( epred5_0 @ X72 )
| ( epred4_0 @ ( esk1_0 @ X72 ) ) )
& ( ~ ( epred4_0 @ ( esk1_0 @ X72 ) )
| ( epred5_0 @ X72 ) )
& ( ~ ( epred6_0 @ X74 )
| ~ ( epred5_0 @ X74 ) )
& ( ( epred5_0 @ X74 )
| ( epred6_0 @ X74 ) )
& ~ ( epred2_0 @ epred6_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_3])])])])])]) ).
thf(c_0_6,plain,
! [X4: a > $o,X11: b > $o,X1: ( a > $o ) > $o,X2: ( b > $o ) > $o,X3: a > b] :
( ( X1 @ X4 )
| ~ ( X4 @ ( esk11_5 @ X3 @ X2 @ X1 @ X11 @ X4 ) )
| ~ ( X11 @ ( X3 @ ( esk11_5 @ X3 @ X2 @ X1 @ X11 @ X4 ) ) )
| ~ ( X2 @ X11 )
| ~ ( epred1_3 @ X1 @ X2 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
thf(c_0_7,negated_conjecture,
epred1_3 @ epred2_0 @ epred3_0 @ esk1_0,
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_8,negated_conjecture,
! [X11: b > $o] :
( ( epred4_0 @ ( esk2_1 @ X11 ) )
| ( epred3_0 @ X11 )
| ~ ( X11 @ ( esk2_1 @ X11 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_9,negated_conjecture,
! [X4: a > $o,X11: b > $o] :
( ( epred2_0 @ X4 )
| ~ ( X11 @ ( esk1_0 @ ( esk11_5 @ esk1_0 @ epred3_0 @ epred2_0 @ X11 @ X4 ) ) )
| ~ ( X4 @ ( esk11_5 @ esk1_0 @ epred3_0 @ epred2_0 @ X11 @ X4 ) )
| ~ ( epred3_0 @ X11 ) ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
thf(c_0_10,negated_conjecture,
! [X11: b > $o] :
( ( epred4_0
@ ( esk2_1
@ ^ [Z0: b] :
~ ( X11 @ Z0 ) ) )
| ( X11
@ ( esk2_1
@ ^ [Z0: b] :
~ ( X11 @ Z0 ) ) )
| ( epred3_0
@ ^ [Z0: b] :
~ ( X11 @ Z0 ) ) ),
inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[]),c_0_8]) ).
thf(c_0_11,plain,
! [X4: a > $o,X11: b > $o,X1: ( a > $o ) > $o,X2: ( b > $o ) > $o,X3: a > b] :
( ( X4 @ ( esk11_5 @ X3 @ X2 @ X1 @ X11 @ X4 ) )
| ( X11 @ ( X3 @ ( esk11_5 @ X3 @ X2 @ X1 @ X11 @ X4 ) ) )
| ( X1 @ X4 )
| ~ ( X2 @ X11 )
| ~ ( epred1_3 @ X1 @ X2 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
thf(c_0_12,negated_conjecture,
! [X4: a > $o,X11: b > $o] :
( ( X11
@ ( esk1_0
@ ( esk11_5 @ esk1_0 @ epred3_0 @ epred2_0
@ ^ [Z0: b] :
~ ( X11 @ Z0 )
@ X4 ) ) )
| ( epred2_0 @ X4 )
| ~ ( X4
@ ( esk11_5 @ esk1_0 @ epred3_0 @ epred2_0
@ ^ [Z0: b] :
~ ( X11 @ Z0 )
@ X4 ) )
| ~ ( epred3_0
@ ^ [Z0: b] :
~ ( X11 @ Z0 ) ) ),
inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[]),c_0_9]) ).
thf(c_0_13,negated_conjecture,
! [X5: a] :
( ( epred5_0 @ X5 )
| ( epred6_0 @ X5 ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_14,negated_conjecture,
~ ( epred2_0 @ epred6_0 ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_15,negated_conjecture,
! [X11: b > $o] :
( ( X11 @ ( esk2_1 @ X11 ) )
| ( epred3_0 @ X11 )
| ~ ( epred4_0 @ ( esk2_1 @ X11 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_16,negated_conjecture,
( ( epred4_0
@ ( esk2_1
@ ^ [Z0: b] :
~ ( epred4_0 @ Z0 ) ) )
| ( epred3_0
@ ^ [Z0: b] :
~ ( epred4_0 @ Z0 ) ) ),
inference(ef,[status(thm)],[c_0_10]) ).
thf(c_0_17,negated_conjecture,
! [X4: a > $o,X11: b > $o] :
( ( X11 @ ( esk1_0 @ ( esk11_5 @ esk1_0 @ epred3_0 @ epred2_0 @ X11 @ X4 ) ) )
| ( X4 @ ( esk11_5 @ esk1_0 @ epred3_0 @ epred2_0 @ X11 @ X4 ) )
| ( epred2_0 @ X4 )
| ~ ( epred3_0 @ X11 ) ),
inference(spm,[status(thm)],[c_0_11,c_0_7]) ).
thf(c_0_18,negated_conjecture,
! [X11: b > $o] :
( ( X11
@ ( esk1_0
@ ( esk11_5 @ esk1_0 @ epred3_0 @ epred2_0
@ ^ [Z0: b] :
~ ( X11 @ Z0 )
@ epred6_0 ) ) )
| ( epred5_0
@ ( esk11_5 @ esk1_0 @ epred3_0 @ epred2_0
@ ^ [Z0: b] :
~ ( X11 @ Z0 )
@ epred6_0 ) )
| ~ ( epred3_0
@ ^ [Z0: b] :
~ ( X11 @ Z0 ) ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14]) ).
thf(c_0_19,negated_conjecture,
( epred3_0
@ ^ [Z0: b] :
~ ( epred4_0 @ Z0 ) ),
inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16])])]) ).
thf(c_0_20,negated_conjecture,
! [X5: a] :
( ( epred4_0 @ ( esk1_0 @ X5 ) )
| ~ ( epred5_0 @ X5 ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_21,negated_conjecture,
! [X4: a > $o,X11: b > $o] :
( ( X4
@ ( esk11_5 @ esk1_0 @ epred3_0 @ epred2_0
@ ^ [Z0: b] :
~ ( X11 @ Z0 )
@ X4 ) )
| ( epred2_0 @ X4 )
| ~ ( X11
@ ( esk1_0
@ ( esk11_5 @ esk1_0 @ epred3_0 @ epred2_0
@ ^ [Z0: b] :
~ ( X11 @ Z0 )
@ X4 ) ) )
| ~ ( epred3_0
@ ^ [Z0: b] :
~ ( X11 @ Z0 ) ) ),
inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[]),c_0_17]) ).
thf(c_0_22,negated_conjecture,
( epred4_0
@ ( esk1_0
@ ( esk11_5 @ esk1_0 @ epred3_0 @ epred2_0
@ ^ [Z0: b] :
~ ( epred4_0 @ Z0 )
@ epred6_0 ) ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20]) ).
thf(c_0_23,negated_conjecture,
! [X5: a] :
( ( epred5_0 @ X5 )
| ~ ( epred4_0 @ ( esk1_0 @ X5 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_24,negated_conjecture,
! [X5: a] :
( ~ ( epred6_0 @ X5 )
| ~ ( epred5_0 @ X5 ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_25,negated_conjecture,
( epred6_0
@ ( esk11_5 @ esk1_0 @ epred3_0 @ epred2_0
@ ^ [Z0: b] :
~ ( epred4_0 @ Z0 )
@ epred6_0 ) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_19])]),c_0_14]) ).
thf(c_0_26,negated_conjecture,
( epred5_0
@ ( esk11_5 @ esk1_0 @ epred3_0 @ epred2_0
@ ^ [Z0: b] :
~ ( epred4_0 @ Z0 )
@ epred6_0 ) ),
inference(spm,[status(thm)],[c_0_23,c_0_22]) ).
thf(c_0_27,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEV260^5 : TPTP v8.2.0. Released v4.0.0.
% 0.03/0.13 % Command : run_E %s %d THM
% 0.13/0.35 % Computer : n020.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sun May 19 18:53:53 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.20/0.48 Running higher-order theorem proving
% 0.20/0.48 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
% 1.69/0.69 # Version: 3.1.0-ho
% 1.69/0.69 # Preprocessing class: HSMSSMSSSSSNHHA.
% 1.69/0.69 # Scheduled 6 strats onto 8 cores with 300 seconds (2400 total)
% 1.69/0.69 # Starting full_lambda_6 with 900s (3) cores
% 1.69/0.69 # Starting post_as_ho1 with 300s (1) cores
% 1.69/0.69 # Starting lpo6_lambda_fix with 300s (1) cores
% 1.69/0.69 # Starting ho_unfolding_1 with 300s (1) cores
% 1.69/0.69 # Starting new_ho_10_unif with 300s (1) cores
% 1.69/0.69 # Starting ho_unfolding_2 with 300s (1) cores
% 1.69/0.69 # ho_unfolding_1 with pid 14816 completed with status 0
% 1.69/0.69 # Result found by ho_unfolding_1
% 1.69/0.69 # Preprocessing class: HSMSSMSSSSSNHHA.
% 1.69/0.69 # Scheduled 6 strats onto 8 cores with 300 seconds (2400 total)
% 1.69/0.69 # Starting full_lambda_6 with 900s (3) cores
% 1.69/0.69 # Starting post_as_ho1 with 300s (1) cores
% 1.69/0.69 # Starting lpo6_lambda_fix with 300s (1) cores
% 1.69/0.69 # Starting ho_unfolding_1 with 300s (1) cores
% 1.69/0.69 # No SInE strategy applied
% 1.69/0.69 # Search class: HGHNF-FFMF33-SHHFFMBN
% 1.69/0.69 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 1.69/0.69 # Starting ehoh_best2_full_lfho with 135s (1) cores
% 1.69/0.69 # ehoh_best2_full_lfho with pid 14824 completed with status 0
% 1.69/0.69 # Result found by ehoh_best2_full_lfho
% 1.69/0.69 # Preprocessing class: HSMSSMSSSSSNHHA.
% 1.69/0.69 # Scheduled 6 strats onto 8 cores with 300 seconds (2400 total)
% 1.69/0.69 # Starting full_lambda_6 with 900s (3) cores
% 1.69/0.69 # Starting post_as_ho1 with 300s (1) cores
% 1.69/0.69 # Starting lpo6_lambda_fix with 300s (1) cores
% 1.69/0.69 # Starting ho_unfolding_1 with 300s (1) cores
% 1.69/0.69 # No SInE strategy applied
% 1.69/0.69 # Search class: HGHNF-FFMF33-SHHFFMBN
% 1.69/0.69 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 1.69/0.69 # Starting ehoh_best2_full_lfho with 135s (1) cores
% 1.69/0.69 # Preprocessing time : 0.002 s
% 1.69/0.69
% 1.69/0.69 # Proof found!
% 1.69/0.69 # SZS status Theorem
% 1.69/0.69 # SZS output start CNFRefutation
% See solution above
% 1.69/0.69 # Parsed axioms : 3
% 1.69/0.69 # Removed by relevancy pruning/SinE : 0
% 1.69/0.69 # Initial clauses : 38
% 1.69/0.69 # Removed in clause preprocessing : 6
% 1.69/0.69 # Initial clauses in saturation : 32
% 1.69/0.69 # Processed clauses : 695
% 1.69/0.69 # ...of these trivial : 4
% 1.69/0.69 # ...subsumed : 210
% 1.69/0.69 # ...remaining for further processing : 481
% 1.69/0.69 # Other redundant clauses eliminated : 54
% 1.69/0.69 # Clauses deleted for lack of memory : 0
% 1.69/0.69 # Backward-subsumed : 6
% 1.69/0.69 # Backward-rewritten : 3
% 1.69/0.69 # Generated clauses : 2361
% 1.69/0.69 # ...of the previous two non-redundant : 1867
% 1.69/0.69 # ...aggressively subsumed : 0
% 1.69/0.69 # Contextual simplify-reflections : 18
% 1.69/0.69 # Paramodulations : 313
% 1.69/0.69 # Factorizations : 10
% 1.69/0.69 # NegExts : 24
% 1.69/0.69 # Equation resolutions : 59
% 1.69/0.69 # Disequality decompositions : 0
% 1.69/0.69 # Total rewrite steps : 91
% 1.69/0.69 # ...of those cached : 83
% 1.69/0.69 # Propositional unsat checks : 0
% 1.69/0.69 # Propositional check models : 0
% 1.69/0.69 # Propositional check unsatisfiable : 0
% 1.69/0.69 # Propositional clauses : 0
% 1.69/0.69 # Propositional clauses after purity: 0
% 1.69/0.69 # Propositional unsat core size : 0
% 1.69/0.69 # Propositional preprocessing time : 0.000
% 1.69/0.69 # Propositional encoding time : 0.000
% 1.69/0.69 # Propositional solver time : 0.000
% 1.69/0.69 # Success case prop preproc time : 0.000
% 1.69/0.69 # Success case prop encoding time : 0.000
% 1.69/0.69 # Success case prop solver time : 0.000
% 1.69/0.69 # Current number of processed clauses : 375
% 1.69/0.69 # Positive orientable unit clauses : 19
% 1.69/0.69 # Positive unorientable unit clauses: 0
% 1.69/0.69 # Negative unit clauses : 6
% 1.69/0.69 # Non-unit-clauses : 350
% 1.69/0.69 # Current number of unprocessed clauses: 1204
% 1.69/0.69 # ...number of literals in the above : 5583
% 1.69/0.69 # Current number of archived formulas : 0
% 1.69/0.69 # Current number of archived clauses : 106
% 1.69/0.69 # Clause-clause subsumption calls (NU) : 40096
% 1.69/0.69 # Rec. Clause-clause subsumption calls : 11817
% 1.69/0.69 # Non-unit clause-clause subsumptions : 195
% 1.69/0.69 # Unit Clause-clause subsumption calls : 649
% 1.69/0.69 # Rewrite failures with RHS unbound : 0
% 1.69/0.69 # BW rewrite match attempts : 27
% 1.69/0.69 # BW rewrite match successes : 5
% 1.69/0.69 # Condensation attempts : 0
% 1.69/0.69 # Condensation successes : 0
% 1.69/0.69 # Termbank termtop insertions : 283568
% 1.69/0.69 # Search garbage collected termcells : 1635
% 1.69/0.69
% 1.69/0.69 # -------------------------------------------------
% 1.69/0.69 # User time : 0.180 s
% 1.69/0.69 # System time : 0.014 s
% 1.69/0.69 # Total time : 0.194 s
% 1.69/0.69 # Maximum resident set size: 2060 pages
% 1.69/0.69
% 1.69/0.69 # -------------------------------------------------
% 1.69/0.69 # User time : 0.183 s
% 1.69/0.69 # System time : 0.015 s
% 1.69/0.69 # Total time : 0.198 s
% 1.69/0.69 # Maximum resident set size: 1780 pages
% 1.69/0.69 % E---3.1 exiting
% 1.69/0.69 % E exiting
%------------------------------------------------------------------------------