TSTP Solution File: SEV212^5 by E---3.1.00
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : SEV212^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n014.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 04:08:00 EDT 2024
% Result : Theorem 0.71s 0.56s
% Output : CNFRefutation 0.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 29
% Syntax : Number of formulae : 112 ( 12 unt; 28 typ; 0 def)
% Number of atoms : 518 ( 318 equ; 0 cnn)
% Maximal formula atoms : 165 ( 6 avg)
% Number of connectives : 2020 ( 120 ~; 387 |; 106 &;1385 @)
% ( 0 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 81 ( 9 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 240 ( 240 >; 0 *; 0 +; 0 <<)
% Number of symbols : 30 ( 27 usr; 7 con; 0-3 aty)
% Number of variables : 188 ( 0 ^ 152 !; 36 ?; 188 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
iS: $tType ).
thf(decl_22,type,
cP: iS > iS > iS ).
thf(decl_23,type,
c0: iS ).
thf(decl_24,type,
esk1_1: ( iS > $o ) > iS ).
thf(decl_25,type,
esk2_1: ( iS > $o ) > iS ).
thf(decl_26,type,
esk3_0: iS ).
thf(decl_27,type,
esk4_0: iS ).
thf(decl_28,type,
esk5_0: iS ).
thf(decl_29,type,
esk6_0: iS ).
thf(decl_30,type,
esk7_1: ( iS > iS > iS > $o ) > iS ).
thf(decl_31,type,
esk8_1: ( iS > iS > iS > $o ) > iS ).
thf(decl_32,type,
esk9_1: ( iS > iS > iS > $o ) > iS ).
thf(decl_33,type,
esk10_1: ( iS > iS > iS > $o ) > iS ).
thf(decl_34,type,
esk11_1: ( iS > iS > iS > $o ) > iS ).
thf(decl_35,type,
esk12_1: ( iS > iS > iS > $o ) > iS ).
thf(decl_36,type,
esk13_1: ( iS > iS > iS > $o ) > iS ).
thf(decl_37,type,
esk14_1: ( iS > iS > iS > $o ) > iS ).
thf(decl_38,type,
esk15_1: ( iS > iS > iS > $o ) > iS ).
thf(decl_39,type,
esk16_1: ( iS > iS > iS > $o ) > iS ).
thf(decl_40,type,
esk17_1: ( iS > iS > iS > $o ) > iS ).
thf(decl_41,type,
esk18_1: ( iS > iS > iS > $o ) > iS ).
thf(decl_42,type,
esk19_1: ( iS > iS > iS > $o ) > iS ).
thf(decl_43,type,
esk20_1: ( iS > iS > iS > $o ) > iS ).
thf(decl_44,type,
esk21_1: ( iS > iS > iS > $o ) > iS ).
thf(decl_45,type,
esk22_1: ( iS > iS > iS > $o ) > iS ).
thf(decl_46,type,
esk23_1: ( iS > iS > iS > $o ) > iS ).
thf(decl_47,type,
esk24_1: ( iS > iS > iS > $o ) > iS ).
thf(decl_48,type,
epred1_0: iS > iS > iS > $o ).
thf(cS_LEM2_pme,conjecture,
( ( ! [X1: iS,X2: iS] :
( ( cP @ X1 @ X2 )
!= c0 )
& ! [X1: iS,X2: iS,X3: iS,X4: iS] :
( ( ( cP @ X1 @ X3 )
= ( cP @ X2 @ X4 ) )
=> ( ( X1 = X2 )
& ( X3 = X4 ) ) )
& ! [X5: iS > $o] :
( ( ( X5 @ c0 )
& ! [X1: iS,X2: iS] :
( ( ( X5 @ X1 )
& ( X5 @ X2 ) )
=> ( X5 @ ( cP @ X1 @ X2 ) ) ) )
=> ! [X1: iS] : ( X5 @ X1 ) ) )
=> ! [X1: iS,X2: iS,X3: iS,X4: iS] :
( ( ! [X6: iS > iS > iS > $o] :
( ( $true
& ! [X7: iS,X8: iS,X9: iS] :
( ( ( ( X7 = c0 )
& ( X8 = X9 ) )
| ( ( X8 = c0 )
& ( X7 = X9 ) )
| ? [X10: iS,X11: iS,X12: iS,X13: iS,X14: iS,X15: iS] :
( ( X7
= ( cP @ X10 @ X11 ) )
& ( X8
= ( cP @ X12 @ X13 ) )
& ( X9
= ( cP @ X14 @ X15 ) )
& ( X6 @ X10 @ X12 @ X14 )
& ( X6 @ X11 @ X13 @ X15 ) ) )
=> ( X6 @ X7 @ X8 @ X9 ) ) )
=> ( X6 @ X1 @ X2 @ X2 ) )
& ! [X6: iS > iS > iS > $o] :
( ( $true
& ! [X7: iS,X8: iS,X9: iS] :
( ( ( ( X7 = c0 )
& ( X8 = X9 ) )
| ( ( X8 = c0 )
& ( X7 = X9 ) )
| ? [X10: iS,X11: iS,X12: iS,X13: iS,X14: iS,X15: iS] :
( ( X7
= ( cP @ X10 @ X11 ) )
& ( X8
= ( cP @ X12 @ X13 ) )
& ( X9
= ( cP @ X14 @ X15 ) )
& ( X6 @ X10 @ X12 @ X14 )
& ( X6 @ X11 @ X13 @ X15 ) ) )
=> ( X6 @ X7 @ X8 @ X9 ) ) )
=> ( X6 @ X3 @ X4 @ X4 ) ) )
=> ! [X6: iS > iS > iS > $o] :
( ( $true
& ! [X7: iS,X8: iS,X9: iS] :
( ( ( ( X7 = c0 )
& ( X8 = X9 ) )
| ( ( X8 = c0 )
& ( X7 = X9 ) )
| ? [X10: iS,X11: iS,X12: iS,X13: iS,X14: iS,X15: iS] :
( ( X7
= ( cP @ X10 @ X11 ) )
& ( X8
= ( cP @ X12 @ X13 ) )
& ( X9
= ( cP @ X14 @ X15 ) )
& ( X6 @ X10 @ X12 @ X14 )
& ( X6 @ X11 @ X13 @ X15 ) ) )
=> ( X6 @ X7 @ X8 @ X9 ) ) )
=> ( X6 @ ( cP @ X1 @ X3 ) @ ( cP @ X2 @ X4 ) @ ( cP @ X2 @ X4 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cS_LEM2_pme) ).
thf(c_0_1,negated_conjecture,
~ ( ( ! [X1: iS,X2: iS] :
( ( cP @ X1 @ X2 )
!= c0 )
& ! [X1: iS,X2: iS,X3: iS,X4: iS] :
( ( ( cP @ X1 @ X3 )
= ( cP @ X2 @ X4 ) )
=> ( ( X1 = X2 )
& ( X3 = X4 ) ) )
& ! [X5: iS > $o] :
( ( ( X5 @ c0 )
& ! [X1: iS,X2: iS] :
( ( ( X5 @ X1 )
& ( X5 @ X2 ) )
=> ( X5 @ ( cP @ X1 @ X2 ) ) ) )
=> ! [X1: iS] : ( X5 @ X1 ) ) )
=> ! [X1: iS,X2: iS,X3: iS,X4: iS] :
( ( ! [X6: iS > iS > iS > $o] :
( ( $true
& ! [X7: iS,X8: iS,X9: iS] :
( ( ( ( X7 = c0 )
& ( X8 = X9 ) )
| ( ( X8 = c0 )
& ( X7 = X9 ) )
| ? [X10: iS,X11: iS,X12: iS,X13: iS,X14: iS,X15: iS] :
( ( X7
= ( cP @ X10 @ X11 ) )
& ( X8
= ( cP @ X12 @ X13 ) )
& ( X9
= ( cP @ X14 @ X15 ) )
& ( X6 @ X10 @ X12 @ X14 )
& ( X6 @ X11 @ X13 @ X15 ) ) )
=> ( X6 @ X7 @ X8 @ X9 ) ) )
=> ( X6 @ X1 @ X2 @ X2 ) )
& ! [X6: iS > iS > iS > $o] :
( ( $true
& ! [X7: iS,X8: iS,X9: iS] :
( ( ( ( X7 = c0 )
& ( X8 = X9 ) )
| ( ( X8 = c0 )
& ( X7 = X9 ) )
| ? [X10: iS,X11: iS,X12: iS,X13: iS,X14: iS,X15: iS] :
( ( X7
= ( cP @ X10 @ X11 ) )
& ( X8
= ( cP @ X12 @ X13 ) )
& ( X9
= ( cP @ X14 @ X15 ) )
& ( X6 @ X10 @ X12 @ X14 )
& ( X6 @ X11 @ X13 @ X15 ) ) )
=> ( X6 @ X7 @ X8 @ X9 ) ) )
=> ( X6 @ X3 @ X4 @ X4 ) ) )
=> ! [X6: iS > iS > iS > $o] :
( ( $true
& ! [X7: iS,X8: iS,X9: iS] :
( ( ( ( X7 = c0 )
& ( X8 = X9 ) )
| ( ( X8 = c0 )
& ( X7 = X9 ) )
| ? [X10: iS,X11: iS,X12: iS,X13: iS,X14: iS,X15: iS] :
( ( X7
= ( cP @ X10 @ X11 ) )
& ( X8
= ( cP @ X12 @ X13 ) )
& ( X9
= ( cP @ X14 @ X15 ) )
& ( X6 @ X10 @ X12 @ X14 )
& ( X6 @ X11 @ X13 @ X15 ) ) )
=> ( X6 @ X7 @ X8 @ X9 ) ) )
=> ( X6 @ ( cP @ X1 @ X3 ) @ ( cP @ X2 @ X4 ) @ ( cP @ X2 @ X4 ) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[cS_LEM2_pme])]) ).
thf(c_0_2,negated_conjecture,
! [X60: iS,X61: iS,X62: iS,X63: iS,X64: iS,X65: iS,X66: iS > $o,X69: iS,X74: iS > iS > iS > $o,X84: iS > iS > iS > $o,X95: iS,X96: iS,X97: iS,X98: iS,X99: iS,X100: iS,X101: iS,X102: iS,X103: iS] :
( ( ( cP @ X60 @ X61 )
!= c0 )
& ( ( X62 = X63 )
| ( ( cP @ X62 @ X64 )
!= ( cP @ X63 @ X65 ) ) )
& ( ( X64 = X65 )
| ( ( cP @ X62 @ X64 )
!= ( cP @ X63 @ X65 ) ) )
& ( ( X66 @ ( esk1_1 @ X66 ) )
| ~ ( X66 @ c0 )
| ( X66 @ X69 ) )
& ( ( X66 @ ( esk2_1 @ X66 ) )
| ~ ( X66 @ c0 )
| ( X66 @ X69 ) )
& ( ~ ( X66 @ ( cP @ ( esk1_1 @ X66 ) @ ( esk2_1 @ X66 ) ) )
| ~ ( X66 @ c0 )
| ( X66 @ X69 ) )
& ( ( ( esk7_1 @ X74 )
= ( cP @ ( esk10_1 @ X74 ) @ ( esk11_1 @ X74 ) ) )
| ( ( esk8_1 @ X74 )
= c0 )
| ( ( esk7_1 @ X74 )
= c0 )
| ~ $true
| ( X74 @ esk3_0 @ esk4_0 @ esk4_0 ) )
& ( ( ( esk8_1 @ X74 )
= ( cP @ ( esk12_1 @ X74 ) @ ( esk13_1 @ X74 ) ) )
| ( ( esk8_1 @ X74 )
= c0 )
| ( ( esk7_1 @ X74 )
= c0 )
| ~ $true
| ( X74 @ esk3_0 @ esk4_0 @ esk4_0 ) )
& ( ( ( esk9_1 @ X74 )
= ( cP @ ( esk14_1 @ X74 ) @ ( esk15_1 @ X74 ) ) )
| ( ( esk8_1 @ X74 )
= c0 )
| ( ( esk7_1 @ X74 )
= c0 )
| ~ $true
| ( X74 @ esk3_0 @ esk4_0 @ esk4_0 ) )
& ( ( X74 @ ( esk10_1 @ X74 ) @ ( esk12_1 @ X74 ) @ ( esk14_1 @ X74 ) )
| ( ( esk8_1 @ X74 )
= c0 )
| ( ( esk7_1 @ X74 )
= c0 )
| ~ $true
| ( X74 @ esk3_0 @ esk4_0 @ esk4_0 ) )
& ( ( X74 @ ( esk11_1 @ X74 ) @ ( esk13_1 @ X74 ) @ ( esk15_1 @ X74 ) )
| ( ( esk8_1 @ X74 )
= c0 )
| ( ( esk7_1 @ X74 )
= c0 )
| ~ $true
| ( X74 @ esk3_0 @ esk4_0 @ esk4_0 ) )
& ( ( ( esk7_1 @ X74 )
= ( cP @ ( esk10_1 @ X74 ) @ ( esk11_1 @ X74 ) ) )
| ( ( esk7_1 @ X74 )
= ( esk9_1 @ X74 ) )
| ( ( esk7_1 @ X74 )
= c0 )
| ~ $true
| ( X74 @ esk3_0 @ esk4_0 @ esk4_0 ) )
& ( ( ( esk8_1 @ X74 )
= ( cP @ ( esk12_1 @ X74 ) @ ( esk13_1 @ X74 ) ) )
| ( ( esk7_1 @ X74 )
= ( esk9_1 @ X74 ) )
| ( ( esk7_1 @ X74 )
= c0 )
| ~ $true
| ( X74 @ esk3_0 @ esk4_0 @ esk4_0 ) )
& ( ( ( esk9_1 @ X74 )
= ( cP @ ( esk14_1 @ X74 ) @ ( esk15_1 @ X74 ) ) )
| ( ( esk7_1 @ X74 )
= ( esk9_1 @ X74 ) )
| ( ( esk7_1 @ X74 )
= c0 )
| ~ $true
| ( X74 @ esk3_0 @ esk4_0 @ esk4_0 ) )
& ( ( X74 @ ( esk10_1 @ X74 ) @ ( esk12_1 @ X74 ) @ ( esk14_1 @ X74 ) )
| ( ( esk7_1 @ X74 )
= ( esk9_1 @ X74 ) )
| ( ( esk7_1 @ X74 )
= c0 )
| ~ $true
| ( X74 @ esk3_0 @ esk4_0 @ esk4_0 ) )
& ( ( X74 @ ( esk11_1 @ X74 ) @ ( esk13_1 @ X74 ) @ ( esk15_1 @ X74 ) )
| ( ( esk7_1 @ X74 )
= ( esk9_1 @ X74 ) )
| ( ( esk7_1 @ X74 )
= c0 )
| ~ $true
| ( X74 @ esk3_0 @ esk4_0 @ esk4_0 ) )
& ( ( ( esk7_1 @ X74 )
= ( cP @ ( esk10_1 @ X74 ) @ ( esk11_1 @ X74 ) ) )
| ( ( esk8_1 @ X74 )
= c0 )
| ( ( esk8_1 @ X74 )
= ( esk9_1 @ X74 ) )
| ~ $true
| ( X74 @ esk3_0 @ esk4_0 @ esk4_0 ) )
& ( ( ( esk8_1 @ X74 )
= ( cP @ ( esk12_1 @ X74 ) @ ( esk13_1 @ X74 ) ) )
| ( ( esk8_1 @ X74 )
= c0 )
| ( ( esk8_1 @ X74 )
= ( esk9_1 @ X74 ) )
| ~ $true
| ( X74 @ esk3_0 @ esk4_0 @ esk4_0 ) )
& ( ( ( esk9_1 @ X74 )
= ( cP @ ( esk14_1 @ X74 ) @ ( esk15_1 @ X74 ) ) )
| ( ( esk8_1 @ X74 )
= c0 )
| ( ( esk8_1 @ X74 )
= ( esk9_1 @ X74 ) )
| ~ $true
| ( X74 @ esk3_0 @ esk4_0 @ esk4_0 ) )
& ( ( X74 @ ( esk10_1 @ X74 ) @ ( esk12_1 @ X74 ) @ ( esk14_1 @ X74 ) )
| ( ( esk8_1 @ X74 )
= c0 )
| ( ( esk8_1 @ X74 )
= ( esk9_1 @ X74 ) )
| ~ $true
| ( X74 @ esk3_0 @ esk4_0 @ esk4_0 ) )
& ( ( X74 @ ( esk11_1 @ X74 ) @ ( esk13_1 @ X74 ) @ ( esk15_1 @ X74 ) )
| ( ( esk8_1 @ X74 )
= c0 )
| ( ( esk8_1 @ X74 )
= ( esk9_1 @ X74 ) )
| ~ $true
| ( X74 @ esk3_0 @ esk4_0 @ esk4_0 ) )
& ( ( ( esk7_1 @ X74 )
= ( cP @ ( esk10_1 @ X74 ) @ ( esk11_1 @ X74 ) ) )
| ( ( esk7_1 @ X74 )
= ( esk9_1 @ X74 ) )
| ( ( esk8_1 @ X74 )
= ( esk9_1 @ X74 ) )
| ~ $true
| ( X74 @ esk3_0 @ esk4_0 @ esk4_0 ) )
& ( ( ( esk8_1 @ X74 )
= ( cP @ ( esk12_1 @ X74 ) @ ( esk13_1 @ X74 ) ) )
| ( ( esk7_1 @ X74 )
= ( esk9_1 @ X74 ) )
| ( ( esk8_1 @ X74 )
= ( esk9_1 @ X74 ) )
| ~ $true
| ( X74 @ esk3_0 @ esk4_0 @ esk4_0 ) )
& ( ( ( esk9_1 @ X74 )
= ( cP @ ( esk14_1 @ X74 ) @ ( esk15_1 @ X74 ) ) )
| ( ( esk7_1 @ X74 )
= ( esk9_1 @ X74 ) )
| ( ( esk8_1 @ X74 )
= ( esk9_1 @ X74 ) )
| ~ $true
| ( X74 @ esk3_0 @ esk4_0 @ esk4_0 ) )
& ( ( X74 @ ( esk10_1 @ X74 ) @ ( esk12_1 @ X74 ) @ ( esk14_1 @ X74 ) )
| ( ( esk7_1 @ X74 )
= ( esk9_1 @ X74 ) )
| ( ( esk8_1 @ X74 )
= ( esk9_1 @ X74 ) )
| ~ $true
| ( X74 @ esk3_0 @ esk4_0 @ esk4_0 ) )
& ( ( X74 @ ( esk11_1 @ X74 ) @ ( esk13_1 @ X74 ) @ ( esk15_1 @ X74 ) )
| ( ( esk7_1 @ X74 )
= ( esk9_1 @ X74 ) )
| ( ( esk8_1 @ X74 )
= ( esk9_1 @ X74 ) )
| ~ $true
| ( X74 @ esk3_0 @ esk4_0 @ esk4_0 ) )
& ( ~ ( X74 @ ( esk7_1 @ X74 ) @ ( esk8_1 @ X74 ) @ ( esk9_1 @ X74 ) )
| ~ $true
| ( X74 @ esk3_0 @ esk4_0 @ esk4_0 ) )
& ( ( ( esk16_1 @ X84 )
= ( cP @ ( esk19_1 @ X84 ) @ ( esk20_1 @ X84 ) ) )
| ( ( esk17_1 @ X84 )
= c0 )
| ( ( esk16_1 @ X84 )
= c0 )
| ~ $true
| ( X84 @ esk5_0 @ esk6_0 @ esk6_0 ) )
& ( ( ( esk17_1 @ X84 )
= ( cP @ ( esk21_1 @ X84 ) @ ( esk22_1 @ X84 ) ) )
| ( ( esk17_1 @ X84 )
= c0 )
| ( ( esk16_1 @ X84 )
= c0 )
| ~ $true
| ( X84 @ esk5_0 @ esk6_0 @ esk6_0 ) )
& ( ( ( esk18_1 @ X84 )
= ( cP @ ( esk23_1 @ X84 ) @ ( esk24_1 @ X84 ) ) )
| ( ( esk17_1 @ X84 )
= c0 )
| ( ( esk16_1 @ X84 )
= c0 )
| ~ $true
| ( X84 @ esk5_0 @ esk6_0 @ esk6_0 ) )
& ( ( X84 @ ( esk19_1 @ X84 ) @ ( esk21_1 @ X84 ) @ ( esk23_1 @ X84 ) )
| ( ( esk17_1 @ X84 )
= c0 )
| ( ( esk16_1 @ X84 )
= c0 )
| ~ $true
| ( X84 @ esk5_0 @ esk6_0 @ esk6_0 ) )
& ( ( X84 @ ( esk20_1 @ X84 ) @ ( esk22_1 @ X84 ) @ ( esk24_1 @ X84 ) )
| ( ( esk17_1 @ X84 )
= c0 )
| ( ( esk16_1 @ X84 )
= c0 )
| ~ $true
| ( X84 @ esk5_0 @ esk6_0 @ esk6_0 ) )
& ( ( ( esk16_1 @ X84 )
= ( cP @ ( esk19_1 @ X84 ) @ ( esk20_1 @ X84 ) ) )
| ( ( esk16_1 @ X84 )
= ( esk18_1 @ X84 ) )
| ( ( esk16_1 @ X84 )
= c0 )
| ~ $true
| ( X84 @ esk5_0 @ esk6_0 @ esk6_0 ) )
& ( ( ( esk17_1 @ X84 )
= ( cP @ ( esk21_1 @ X84 ) @ ( esk22_1 @ X84 ) ) )
| ( ( esk16_1 @ X84 )
= ( esk18_1 @ X84 ) )
| ( ( esk16_1 @ X84 )
= c0 )
| ~ $true
| ( X84 @ esk5_0 @ esk6_0 @ esk6_0 ) )
& ( ( ( esk18_1 @ X84 )
= ( cP @ ( esk23_1 @ X84 ) @ ( esk24_1 @ X84 ) ) )
| ( ( esk16_1 @ X84 )
= ( esk18_1 @ X84 ) )
| ( ( esk16_1 @ X84 )
= c0 )
| ~ $true
| ( X84 @ esk5_0 @ esk6_0 @ esk6_0 ) )
& ( ( X84 @ ( esk19_1 @ X84 ) @ ( esk21_1 @ X84 ) @ ( esk23_1 @ X84 ) )
| ( ( esk16_1 @ X84 )
= ( esk18_1 @ X84 ) )
| ( ( esk16_1 @ X84 )
= c0 )
| ~ $true
| ( X84 @ esk5_0 @ esk6_0 @ esk6_0 ) )
& ( ( X84 @ ( esk20_1 @ X84 ) @ ( esk22_1 @ X84 ) @ ( esk24_1 @ X84 ) )
| ( ( esk16_1 @ X84 )
= ( esk18_1 @ X84 ) )
| ( ( esk16_1 @ X84 )
= c0 )
| ~ $true
| ( X84 @ esk5_0 @ esk6_0 @ esk6_0 ) )
& ( ( ( esk16_1 @ X84 )
= ( cP @ ( esk19_1 @ X84 ) @ ( esk20_1 @ X84 ) ) )
| ( ( esk17_1 @ X84 )
= c0 )
| ( ( esk17_1 @ X84 )
= ( esk18_1 @ X84 ) )
| ~ $true
| ( X84 @ esk5_0 @ esk6_0 @ esk6_0 ) )
& ( ( ( esk17_1 @ X84 )
= ( cP @ ( esk21_1 @ X84 ) @ ( esk22_1 @ X84 ) ) )
| ( ( esk17_1 @ X84 )
= c0 )
| ( ( esk17_1 @ X84 )
= ( esk18_1 @ X84 ) )
| ~ $true
| ( X84 @ esk5_0 @ esk6_0 @ esk6_0 ) )
& ( ( ( esk18_1 @ X84 )
= ( cP @ ( esk23_1 @ X84 ) @ ( esk24_1 @ X84 ) ) )
| ( ( esk17_1 @ X84 )
= c0 )
| ( ( esk17_1 @ X84 )
= ( esk18_1 @ X84 ) )
| ~ $true
| ( X84 @ esk5_0 @ esk6_0 @ esk6_0 ) )
& ( ( X84 @ ( esk19_1 @ X84 ) @ ( esk21_1 @ X84 ) @ ( esk23_1 @ X84 ) )
| ( ( esk17_1 @ X84 )
= c0 )
| ( ( esk17_1 @ X84 )
= ( esk18_1 @ X84 ) )
| ~ $true
| ( X84 @ esk5_0 @ esk6_0 @ esk6_0 ) )
& ( ( X84 @ ( esk20_1 @ X84 ) @ ( esk22_1 @ X84 ) @ ( esk24_1 @ X84 ) )
| ( ( esk17_1 @ X84 )
= c0 )
| ( ( esk17_1 @ X84 )
= ( esk18_1 @ X84 ) )
| ~ $true
| ( X84 @ esk5_0 @ esk6_0 @ esk6_0 ) )
& ( ( ( esk16_1 @ X84 )
= ( cP @ ( esk19_1 @ X84 ) @ ( esk20_1 @ X84 ) ) )
| ( ( esk16_1 @ X84 )
= ( esk18_1 @ X84 ) )
| ( ( esk17_1 @ X84 )
= ( esk18_1 @ X84 ) )
| ~ $true
| ( X84 @ esk5_0 @ esk6_0 @ esk6_0 ) )
& ( ( ( esk17_1 @ X84 )
= ( cP @ ( esk21_1 @ X84 ) @ ( esk22_1 @ X84 ) ) )
| ( ( esk16_1 @ X84 )
= ( esk18_1 @ X84 ) )
| ( ( esk17_1 @ X84 )
= ( esk18_1 @ X84 ) )
| ~ $true
| ( X84 @ esk5_0 @ esk6_0 @ esk6_0 ) )
& ( ( ( esk18_1 @ X84 )
= ( cP @ ( esk23_1 @ X84 ) @ ( esk24_1 @ X84 ) ) )
| ( ( esk16_1 @ X84 )
= ( esk18_1 @ X84 ) )
| ( ( esk17_1 @ X84 )
= ( esk18_1 @ X84 ) )
| ~ $true
| ( X84 @ esk5_0 @ esk6_0 @ esk6_0 ) )
& ( ( X84 @ ( esk19_1 @ X84 ) @ ( esk21_1 @ X84 ) @ ( esk23_1 @ X84 ) )
| ( ( esk16_1 @ X84 )
= ( esk18_1 @ X84 ) )
| ( ( esk17_1 @ X84 )
= ( esk18_1 @ X84 ) )
| ~ $true
| ( X84 @ esk5_0 @ esk6_0 @ esk6_0 ) )
& ( ( X84 @ ( esk20_1 @ X84 ) @ ( esk22_1 @ X84 ) @ ( esk24_1 @ X84 ) )
| ( ( esk16_1 @ X84 )
= ( esk18_1 @ X84 ) )
| ( ( esk17_1 @ X84 )
= ( esk18_1 @ X84 ) )
| ~ $true
| ( X84 @ esk5_0 @ esk6_0 @ esk6_0 ) )
& ( ~ ( X84 @ ( esk16_1 @ X84 ) @ ( esk17_1 @ X84 ) @ ( esk18_1 @ X84 ) )
| ~ $true
| ( X84 @ esk5_0 @ esk6_0 @ esk6_0 ) )
& $true
& ( ( X95 != c0 )
| ( X96 != X97 )
| ( epred1_0 @ X95 @ X96 @ X97 ) )
& ( ( X96 != c0 )
| ( X95 != X97 )
| ( epred1_0 @ X95 @ X96 @ X97 ) )
& ( ( X95
!= ( cP @ X98 @ X99 ) )
| ( X96
!= ( cP @ X100 @ X101 ) )
| ( X97
!= ( cP @ X102 @ X103 ) )
| ~ ( epred1_0 @ X98 @ X100 @ X102 )
| ~ ( epred1_0 @ X99 @ X101 @ X103 )
| ( epred1_0 @ X95 @ X96 @ X97 ) )
& ~ ( epred1_0 @ ( cP @ esk3_0 @ esk5_0 ) @ ( cP @ esk4_0 @ esk6_0 ) @ ( cP @ esk4_0 @ esk6_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_1])])])])])]) ).
thf(c_0_3,negated_conjecture,
! [X7: iS,X1: iS,X2: iS,X4: iS,X3: iS,X9: iS,X8: iS,X10: iS,X11: iS] :
( ( epred1_0 @ X1 @ X4 @ X9 )
| ( X1
!= ( cP @ X2 @ X3 ) )
| ( X4
!= ( cP @ X7 @ X8 ) )
| ( X9
!= ( cP @ X10 @ X11 ) )
| ~ ( epred1_0 @ X2 @ X7 @ X10 )
| ~ ( epred1_0 @ X3 @ X8 @ X11 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_4,negated_conjecture,
! [X6: iS > iS > iS > $o] :
( ( ( esk8_1 @ X6 )
= ( cP @ ( esk12_1 @ X6 ) @ ( esk13_1 @ X6 ) ) )
| ( ( esk8_1 @ X6 )
= c0 )
| ( ( esk7_1 @ X6 )
= c0 )
| ( X6 @ esk3_0 @ esk4_0 @ esk4_0 )
| ~ $true ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_5,negated_conjecture,
! [X2: iS,X8: iS,X4: iS,X3: iS,X1: iS,X7: iS] :
( ( epred1_0 @ ( cP @ X1 @ X2 ) @ ( cP @ X3 @ X4 ) @ ( cP @ X7 @ X8 ) )
| ~ ( epred1_0 @ X2 @ X4 @ X8 )
| ~ ( epred1_0 @ X1 @ X3 @ X7 ) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_3])])]) ).
thf(c_0_6,negated_conjecture,
! [X6: iS > iS > iS > $o] :
( ( ( esk7_1 @ X6 )
= c0 )
| ( ( esk8_1 @ X6 )
= c0 )
| ( ( esk8_1 @ X6 )
= ( cP @ ( esk12_1 @ X6 ) @ ( esk13_1 @ X6 ) ) )
| ( X6 @ esk3_0 @ esk4_0 @ esk4_0 ) ),
inference(cn,[status(thm)],[c_0_4]) ).
thf(c_0_7,negated_conjecture,
! [X6: iS > iS > iS > $o] :
( ( X6 @ ( esk11_1 @ X6 ) @ ( esk13_1 @ X6 ) @ ( esk15_1 @ X6 ) )
| ( ( esk8_1 @ X6 )
= c0 )
| ( ( esk7_1 @ X6 )
= c0 )
| ( X6 @ esk3_0 @ esk4_0 @ esk4_0 )
| ~ $true ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_8,negated_conjecture,
! [X6: iS > iS > iS > $o,X2: iS,X1: iS,X4: iS,X3: iS] :
( ( ( esk8_1 @ X6 )
= c0 )
| ( ( esk7_1 @ X6 )
= c0 )
| ( epred1_0 @ ( cP @ X1 @ X2 ) @ ( esk8_1 @ X6 ) @ ( cP @ X3 @ X4 ) )
| ( X6 @ esk3_0 @ esk4_0 @ esk4_0 )
| ~ ( epred1_0 @ X2 @ ( esk13_1 @ X6 ) @ X4 )
| ~ ( epred1_0 @ X1 @ ( esk12_1 @ X6 ) @ X3 ) ),
inference(spm,[status(thm)],[c_0_5,c_0_6]) ).
thf(c_0_9,negated_conjecture,
! [X6: iS > iS > iS > $o] :
( ( ( esk7_1 @ X6 )
= c0 )
| ( ( esk8_1 @ X6 )
= c0 )
| ( X6 @ esk3_0 @ esk4_0 @ esk4_0 )
| ( X6 @ ( esk11_1 @ X6 ) @ ( esk13_1 @ X6 ) @ ( esk15_1 @ X6 ) ) ),
inference(cn,[status(thm)],[c_0_7]) ).
thf(c_0_10,negated_conjecture,
! [X6: iS > iS > iS > $o] :
( ( X6 @ ( esk10_1 @ X6 ) @ ( esk12_1 @ X6 ) @ ( esk14_1 @ X6 ) )
| ( ( esk8_1 @ X6 )
= c0 )
| ( ( esk7_1 @ X6 )
= c0 )
| ( X6 @ esk3_0 @ esk4_0 @ esk4_0 )
| ~ $true ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_11,negated_conjecture,
! [X1: iS,X2: iS] :
( ( ( esk7_1 @ epred1_0 )
= c0 )
| ( ( esk8_1 @ epred1_0 )
= c0 )
| ( epred1_0 @ ( cP @ X1 @ ( esk11_1 @ epred1_0 ) ) @ ( esk8_1 @ epred1_0 ) @ ( cP @ X2 @ ( esk15_1 @ epred1_0 ) ) )
| ( epred1_0 @ esk3_0 @ esk4_0 @ esk4_0 )
| ~ ( epred1_0 @ X1 @ ( esk12_1 @ epred1_0 ) @ X2 ) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
thf(c_0_12,negated_conjecture,
! [X6: iS > iS > iS > $o] :
( ( ( esk7_1 @ X6 )
= c0 )
| ( ( esk8_1 @ X6 )
= c0 )
| ( X6 @ esk3_0 @ esk4_0 @ esk4_0 )
| ( X6 @ ( esk10_1 @ X6 ) @ ( esk12_1 @ X6 ) @ ( esk14_1 @ X6 ) ) ),
inference(cn,[status(thm)],[c_0_10]) ).
thf(c_0_13,negated_conjecture,
! [X6: iS > iS > iS > $o] :
( ( ( esk9_1 @ X6 )
= ( cP @ ( esk14_1 @ X6 ) @ ( esk15_1 @ X6 ) ) )
| ( ( esk8_1 @ X6 )
= c0 )
| ( ( esk7_1 @ X6 )
= c0 )
| ( X6 @ esk3_0 @ esk4_0 @ esk4_0 )
| ~ $true ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_14,negated_conjecture,
! [X6: iS > iS > iS > $o] :
( ( ( esk7_1 @ X6 )
= ( cP @ ( esk10_1 @ X6 ) @ ( esk11_1 @ X6 ) ) )
| ( ( esk8_1 @ X6 )
= c0 )
| ( ( esk8_1 @ X6 )
= ( esk9_1 @ X6 ) )
| ( X6 @ esk3_0 @ esk4_0 @ esk4_0 )
| ~ $true ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_15,negated_conjecture,
( ( ( esk8_1 @ epred1_0 )
= c0 )
| ( ( esk7_1 @ epred1_0 )
= c0 )
| ( epred1_0 @ ( cP @ ( esk10_1 @ epred1_0 ) @ ( esk11_1 @ epred1_0 ) ) @ ( esk8_1 @ epred1_0 ) @ ( cP @ ( esk14_1 @ epred1_0 ) @ ( esk15_1 @ epred1_0 ) ) )
| ( epred1_0 @ esk3_0 @ esk4_0 @ esk4_0 ) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
thf(c_0_16,negated_conjecture,
! [X6: iS > iS > iS > $o] :
( ( ( esk7_1 @ X6 )
= c0 )
| ( ( esk8_1 @ X6 )
= c0 )
| ( ( esk9_1 @ X6 )
= ( cP @ ( esk14_1 @ X6 ) @ ( esk15_1 @ X6 ) ) )
| ( X6 @ esk3_0 @ esk4_0 @ esk4_0 ) ),
inference(cn,[status(thm)],[c_0_13]) ).
thf(c_0_17,negated_conjecture,
! [X6: iS > iS > iS > $o] :
( ( ( esk7_1 @ X6 )
= ( cP @ ( esk10_1 @ X6 ) @ ( esk11_1 @ X6 ) ) )
| ( ( esk8_1 @ X6 )
= c0 )
| ( ( esk7_1 @ X6 )
= c0 )
| ( X6 @ esk3_0 @ esk4_0 @ esk4_0 )
| ~ $true ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_18,negated_conjecture,
! [X6: iS > iS > iS > $o] :
( ( X6 @ esk3_0 @ esk4_0 @ esk4_0 )
| ~ ( X6 @ ( esk7_1 @ X6 ) @ ( esk8_1 @ X6 ) @ ( esk9_1 @ X6 ) )
| ~ $true ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_19,negated_conjecture,
! [X1: iS,X2: iS] :
( ( cP @ X1 @ X2 )
!= c0 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_20,negated_conjecture,
! [X6: iS > iS > iS > $o] :
( ( ( esk8_1 @ X6 )
= c0 )
| ( ( esk9_1 @ X6 )
= ( esk8_1 @ X6 ) )
| ( ( esk7_1 @ X6 )
= ( cP @ ( esk10_1 @ X6 ) @ ( esk11_1 @ X6 ) ) )
| ( X6 @ esk3_0 @ esk4_0 @ esk4_0 ) ),
inference(cn,[status(thm)],[c_0_14]) ).
thf(c_0_21,negated_conjecture,
( ( ( esk7_1 @ epred1_0 )
= c0 )
| ( ( esk8_1 @ epred1_0 )
= c0 )
| ( epred1_0 @ ( cP @ ( esk10_1 @ epred1_0 ) @ ( esk11_1 @ epred1_0 ) ) @ ( esk8_1 @ epred1_0 ) @ ( esk9_1 @ epred1_0 ) )
| ( epred1_0 @ esk3_0 @ esk4_0 @ esk4_0 ) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
thf(c_0_22,negated_conjecture,
! [X6: iS > iS > iS > $o] :
( ( ( esk7_1 @ X6 )
= c0 )
| ( ( esk8_1 @ X6 )
= c0 )
| ( ( esk7_1 @ X6 )
= ( cP @ ( esk10_1 @ X6 ) @ ( esk11_1 @ X6 ) ) )
| ( X6 @ esk3_0 @ esk4_0 @ esk4_0 ) ),
inference(cn,[status(thm)],[c_0_17]) ).
thf(c_0_23,negated_conjecture,
! [X6: iS > iS > iS > $o] :
( ( X6 @ esk3_0 @ esk4_0 @ esk4_0 )
| ~ ( X6 @ ( esk7_1 @ X6 ) @ ( esk8_1 @ X6 ) @ ( esk9_1 @ X6 ) ) ),
inference(cn,[status(thm)],[c_0_18]) ).
thf(c_0_24,negated_conjecture,
! [X6: iS > iS > iS > $o] :
( ( ( esk9_1 @ X6 )
= ( esk8_1 @ X6 ) )
| ( ( esk8_1 @ X6 )
= c0 )
| ( X6 @ esk3_0 @ esk4_0 @ esk4_0 )
| ( ( esk7_1 @ X6 )
!= c0 ) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
thf(c_0_25,negated_conjecture,
( ( ( esk8_1 @ epred1_0 )
= c0 )
| ( ( esk7_1 @ epred1_0 )
= c0 )
| ( epred1_0 @ esk3_0 @ esk4_0 @ esk4_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23]) ).
thf(c_0_26,negated_conjecture,
( ( ( esk9_1 @ epred1_0 )
= ( esk8_1 @ epred1_0 ) )
| ( ( esk8_1 @ epred1_0 )
= c0 )
| ( epred1_0 @ esk3_0 @ esk4_0 @ esk4_0 ) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
thf(c_0_27,negated_conjecture,
! [X1: iS,X2: iS,X3: iS] :
( ( epred1_0 @ X1 @ X2 @ X3 )
| ( X1 != c0 )
| ( X2 != X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_28,negated_conjecture,
! [X6: iS > iS > iS > $o] :
( ( ( esk8_1 @ X6 )
= ( cP @ ( esk12_1 @ X6 ) @ ( esk13_1 @ X6 ) ) )
| ( ( esk7_1 @ X6 )
= ( esk9_1 @ X6 ) )
| ( ( esk8_1 @ X6 )
= ( esk9_1 @ X6 ) )
| ( X6 @ esk3_0 @ esk4_0 @ esk4_0 )
| ~ $true ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_29,negated_conjecture,
( ( ( esk8_1 @ epred1_0 )
= c0 )
| ( epred1_0 @ esk3_0 @ esk4_0 @ esk4_0 )
| ~ ( epred1_0 @ ( esk7_1 @ epred1_0 ) @ ( esk8_1 @ epred1_0 ) @ ( esk8_1 @ epred1_0 ) ) ),
inference(spm,[status(thm)],[c_0_23,c_0_26]) ).
thf(c_0_30,negated_conjecture,
! [X1: iS] : ( epred1_0 @ c0 @ X1 @ X1 ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_27])]) ).
thf(c_0_31,negated_conjecture,
! [X6: iS > iS > iS > $o] :
( ( ( esk9_1 @ X6 )
= ( esk7_1 @ X6 ) )
| ( ( esk9_1 @ X6 )
= ( esk8_1 @ X6 ) )
| ( ( esk8_1 @ X6 )
= ( cP @ ( esk12_1 @ X6 ) @ ( esk13_1 @ X6 ) ) )
| ( X6 @ esk3_0 @ esk4_0 @ esk4_0 ) ),
inference(cn,[status(thm)],[c_0_28]) ).
thf(c_0_32,negated_conjecture,
( ( ( esk8_1 @ epred1_0 )
= c0 )
| ( epred1_0 @ esk3_0 @ esk4_0 @ esk4_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_25]),c_0_30])]) ).
thf(c_0_33,negated_conjecture,
! [X6: iS > iS > iS > $o] :
( ( ( esk9_1 @ X6 )
= ( esk8_1 @ X6 ) )
| ( ( esk9_1 @ X6 )
= ( esk7_1 @ X6 ) )
| ( X6 @ esk3_0 @ esk4_0 @ esk4_0 )
| ( ( esk8_1 @ X6 )
!= c0 ) ),
inference(spm,[status(thm)],[c_0_19,c_0_31]) ).
thf(c_0_34,negated_conjecture,
! [X1: iS,X2: iS,X3: iS] :
( ( epred1_0 @ X2 @ X1 @ X3 )
| ( X1 != c0 )
| ( X2 != X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_35,negated_conjecture,
! [X6: iS > iS > iS > $o] :
( ( ( esk9_1 @ X6 )
= ( cP @ ( esk14_1 @ X6 ) @ ( esk15_1 @ X6 ) ) )
| ( ( esk7_1 @ X6 )
= ( esk9_1 @ X6 ) )
| ( ( esk7_1 @ X6 )
= c0 )
| ( X6 @ esk3_0 @ esk4_0 @ esk4_0 )
| ~ $true ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_36,negated_conjecture,
( ( epred1_0 @ esk3_0 @ esk4_0 @ esk4_0 )
| ~ ( epred1_0 @ ( esk7_1 @ epred1_0 ) @ c0 @ ( esk9_1 @ epred1_0 ) ) ),
inference(spm,[status(thm)],[c_0_23,c_0_32]) ).
thf(c_0_37,negated_conjecture,
( ( ( esk9_1 @ epred1_0 )
= ( esk7_1 @ epred1_0 ) )
| ( ( esk9_1 @ epred1_0 )
= c0 )
| ( epred1_0 @ esk3_0 @ esk4_0 @ esk4_0 ) ),
inference(spm,[status(thm)],[c_0_33,c_0_32]) ).
thf(c_0_38,negated_conjecture,
! [X1: iS] : ( epred1_0 @ X1 @ c0 @ X1 ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_34])]) ).
thf(c_0_39,negated_conjecture,
! [X6: iS > iS > iS > $o] :
( ( ( esk7_1 @ X6 )
= c0 )
| ( ( esk9_1 @ X6 )
= ( esk7_1 @ X6 ) )
| ( ( esk9_1 @ X6 )
= ( cP @ ( esk14_1 @ X6 ) @ ( esk15_1 @ X6 ) ) )
| ( X6 @ esk3_0 @ esk4_0 @ esk4_0 ) ),
inference(cn,[status(thm)],[c_0_35]) ).
thf(c_0_40,negated_conjecture,
( ( ( esk9_1 @ epred1_0 )
= c0 )
| ( epred1_0 @ esk3_0 @ esk4_0 @ esk4_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38])]) ).
thf(c_0_41,negated_conjecture,
! [X6: iS > iS > iS > $o] :
( ( ( esk9_1 @ X6 )
= ( esk7_1 @ X6 ) )
| ( ( esk7_1 @ X6 )
= c0 )
| ( X6 @ esk3_0 @ esk4_0 @ esk4_0 )
| ( ( esk9_1 @ X6 )
!= c0 ) ),
inference(spm,[status(thm)],[c_0_19,c_0_39]) ).
thf(c_0_42,negated_conjecture,
! [X6: iS > iS > iS > $o] :
( ( ( esk16_1 @ X6 )
= ( cP @ ( esk19_1 @ X6 ) @ ( esk20_1 @ X6 ) ) )
| ( ( esk17_1 @ X6 )
= c0 )
| ( ( esk16_1 @ X6 )
= c0 )
| ( X6 @ esk5_0 @ esk6_0 @ esk6_0 )
| ~ $true ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_43,negated_conjecture,
~ ( epred1_0 @ ( cP @ esk3_0 @ esk5_0 ) @ ( cP @ esk4_0 @ esk6_0 ) @ ( cP @ esk4_0 @ esk6_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_44,negated_conjecture,
( ( epred1_0 @ esk3_0 @ esk4_0 @ esk4_0 )
| ~ ( epred1_0 @ ( esk7_1 @ epred1_0 ) @ c0 @ c0 ) ),
inference(spm,[status(thm)],[c_0_36,c_0_40]) ).
thf(c_0_45,negated_conjecture,
( ( ( esk7_1 @ epred1_0 )
= c0 )
| ( epred1_0 @ esk3_0 @ esk4_0 @ esk4_0 ) ),
inference(spm,[status(thm)],[c_0_41,c_0_40]) ).
thf(c_0_46,negated_conjecture,
! [X6: iS > iS > iS > $o] :
( ( ( esk16_1 @ X6 )
= c0 )
| ( ( esk17_1 @ X6 )
= c0 )
| ( ( esk16_1 @ X6 )
= ( cP @ ( esk19_1 @ X6 ) @ ( esk20_1 @ X6 ) ) )
| ( X6 @ esk5_0 @ esk6_0 @ esk6_0 ) ),
inference(cn,[status(thm)],[c_0_42]) ).
thf(c_0_47,negated_conjecture,
! [X6: iS > iS > iS > $o] :
( ( X6 @ ( esk20_1 @ X6 ) @ ( esk22_1 @ X6 ) @ ( esk24_1 @ X6 ) )
| ( ( esk17_1 @ X6 )
= c0 )
| ( ( esk16_1 @ X6 )
= c0 )
| ( X6 @ esk5_0 @ esk6_0 @ esk6_0 )
| ~ $true ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_48,negated_conjecture,
( ~ ( epred1_0 @ esk5_0 @ esk6_0 @ esk6_0 )
| ~ ( epred1_0 @ esk3_0 @ esk4_0 @ esk4_0 ) ),
inference(spm,[status(thm)],[c_0_43,c_0_5]) ).
thf(c_0_49,negated_conjecture,
epred1_0 @ esk3_0 @ esk4_0 @ esk4_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_38])]) ).
thf(c_0_50,negated_conjecture,
! [X6: iS > iS > iS > $o,X1: iS,X2: iS,X4: iS,X3: iS] :
( ( ( esk17_1 @ X6 )
= c0 )
| ( ( esk16_1 @ X6 )
= c0 )
| ( epred1_0 @ ( esk16_1 @ X6 ) @ ( cP @ X1 @ X2 ) @ ( cP @ X3 @ X4 ) )
| ( X6 @ esk5_0 @ esk6_0 @ esk6_0 )
| ~ ( epred1_0 @ ( esk20_1 @ X6 ) @ X2 @ X4 )
| ~ ( epred1_0 @ ( esk19_1 @ X6 ) @ X1 @ X3 ) ),
inference(spm,[status(thm)],[c_0_5,c_0_46]) ).
thf(c_0_51,negated_conjecture,
! [X6: iS > iS > iS > $o] :
( ( ( esk16_1 @ X6 )
= c0 )
| ( ( esk17_1 @ X6 )
= c0 )
| ( X6 @ esk5_0 @ esk6_0 @ esk6_0 )
| ( X6 @ ( esk20_1 @ X6 ) @ ( esk22_1 @ X6 ) @ ( esk24_1 @ X6 ) ) ),
inference(cn,[status(thm)],[c_0_47]) ).
thf(c_0_52,negated_conjecture,
~ ( epred1_0 @ esk5_0 @ esk6_0 @ esk6_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_48,c_0_49])]) ).
thf(c_0_53,negated_conjecture,
! [X6: iS > iS > iS > $o] :
( ( X6 @ ( esk19_1 @ X6 ) @ ( esk21_1 @ X6 ) @ ( esk23_1 @ X6 ) )
| ( ( esk17_1 @ X6 )
= c0 )
| ( ( esk16_1 @ X6 )
= c0 )
| ( X6 @ esk5_0 @ esk6_0 @ esk6_0 )
| ~ $true ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_54,negated_conjecture,
! [X1: iS,X2: iS] :
( ( ( esk16_1 @ epred1_0 )
= c0 )
| ( ( esk17_1 @ epred1_0 )
= c0 )
| ( epred1_0 @ ( esk16_1 @ epred1_0 ) @ ( cP @ X1 @ ( esk22_1 @ epred1_0 ) ) @ ( cP @ X2 @ ( esk24_1 @ epred1_0 ) ) )
| ~ ( epred1_0 @ ( esk19_1 @ epred1_0 ) @ X1 @ X2 ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_52]) ).
thf(c_0_55,negated_conjecture,
! [X6: iS > iS > iS > $o] :
( ( ( esk16_1 @ X6 )
= c0 )
| ( ( esk17_1 @ X6 )
= c0 )
| ( X6 @ esk5_0 @ esk6_0 @ esk6_0 )
| ( X6 @ ( esk19_1 @ X6 ) @ ( esk21_1 @ X6 ) @ ( esk23_1 @ X6 ) ) ),
inference(cn,[status(thm)],[c_0_53]) ).
thf(c_0_56,negated_conjecture,
! [X6: iS > iS > iS > $o] :
( ( ( esk18_1 @ X6 )
= ( cP @ ( esk23_1 @ X6 ) @ ( esk24_1 @ X6 ) ) )
| ( ( esk17_1 @ X6 )
= c0 )
| ( ( esk16_1 @ X6 )
= c0 )
| ( X6 @ esk5_0 @ esk6_0 @ esk6_0 )
| ~ $true ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_57,negated_conjecture,
( ( ( esk17_1 @ epred1_0 )
= c0 )
| ( ( esk16_1 @ epred1_0 )
= c0 )
| ( epred1_0 @ ( esk16_1 @ epred1_0 ) @ ( cP @ ( esk21_1 @ epred1_0 ) @ ( esk22_1 @ epred1_0 ) ) @ ( cP @ ( esk23_1 @ epred1_0 ) @ ( esk24_1 @ epred1_0 ) ) ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_52]) ).
thf(c_0_58,negated_conjecture,
! [X6: iS > iS > iS > $o] :
( ( ( esk16_1 @ X6 )
= c0 )
| ( ( esk17_1 @ X6 )
= c0 )
| ( ( esk18_1 @ X6 )
= ( cP @ ( esk23_1 @ X6 ) @ ( esk24_1 @ X6 ) ) )
| ( X6 @ esk5_0 @ esk6_0 @ esk6_0 ) ),
inference(cn,[status(thm)],[c_0_56]) ).
thf(c_0_59,negated_conjecture,
! [X6: iS > iS > iS > $o] :
( ( ( esk17_1 @ X6 )
= ( cP @ ( esk21_1 @ X6 ) @ ( esk22_1 @ X6 ) ) )
| ( ( esk17_1 @ X6 )
= c0 )
| ( ( esk16_1 @ X6 )
= c0 )
| ( X6 @ esk5_0 @ esk6_0 @ esk6_0 )
| ~ $true ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_60,negated_conjecture,
! [X6: iS > iS > iS > $o] :
( ( X6 @ esk5_0 @ esk6_0 @ esk6_0 )
| ~ ( X6 @ ( esk16_1 @ X6 ) @ ( esk17_1 @ X6 ) @ ( esk18_1 @ X6 ) )
| ~ $true ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_61,negated_conjecture,
( ( ( esk16_1 @ epred1_0 )
= c0 )
| ( ( esk17_1 @ epred1_0 )
= c0 )
| ( epred1_0 @ ( esk16_1 @ epred1_0 ) @ ( cP @ ( esk21_1 @ epred1_0 ) @ ( esk22_1 @ epred1_0 ) ) @ ( esk18_1 @ epred1_0 ) ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_52]) ).
thf(c_0_62,negated_conjecture,
! [X6: iS > iS > iS > $o] :
( ( ( esk16_1 @ X6 )
= c0 )
| ( ( esk17_1 @ X6 )
= c0 )
| ( ( esk17_1 @ X6 )
= ( cP @ ( esk21_1 @ X6 ) @ ( esk22_1 @ X6 ) ) )
| ( X6 @ esk5_0 @ esk6_0 @ esk6_0 ) ),
inference(cn,[status(thm)],[c_0_59]) ).
thf(c_0_63,negated_conjecture,
! [X6: iS > iS > iS > $o] :
( ( ( esk17_1 @ X6 )
= ( cP @ ( esk21_1 @ X6 ) @ ( esk22_1 @ X6 ) ) )
| ( ( esk16_1 @ X6 )
= ( esk18_1 @ X6 ) )
| ( ( esk16_1 @ X6 )
= c0 )
| ( X6 @ esk5_0 @ esk6_0 @ esk6_0 )
| ~ $true ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_64,negated_conjecture,
! [X6: iS > iS > iS > $o] :
( ( X6 @ esk5_0 @ esk6_0 @ esk6_0 )
| ~ ( X6 @ ( esk16_1 @ X6 ) @ ( esk17_1 @ X6 ) @ ( esk18_1 @ X6 ) ) ),
inference(cn,[status(thm)],[c_0_60]) ).
thf(c_0_65,negated_conjecture,
( ( ( esk17_1 @ epred1_0 )
= c0 )
| ( ( esk16_1 @ epred1_0 )
= c0 )
| ( epred1_0 @ ( esk16_1 @ epred1_0 ) @ ( esk17_1 @ epred1_0 ) @ ( esk18_1 @ epred1_0 ) ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_52]) ).
thf(c_0_66,negated_conjecture,
! [X6: iS > iS > iS > $o] :
( ( ( esk16_1 @ X6 )
= c0 )
| ( ( esk18_1 @ X6 )
= ( esk16_1 @ X6 ) )
| ( ( esk17_1 @ X6 )
= ( cP @ ( esk21_1 @ X6 ) @ ( esk22_1 @ X6 ) ) )
| ( X6 @ esk5_0 @ esk6_0 @ esk6_0 ) ),
inference(cn,[status(thm)],[c_0_63]) ).
thf(c_0_67,negated_conjecture,
! [X6: iS > iS > iS > $o] :
( ( ( esk16_1 @ X6 )
= ( cP @ ( esk19_1 @ X6 ) @ ( esk20_1 @ X6 ) ) )
| ( ( esk16_1 @ X6 )
= ( esk18_1 @ X6 ) )
| ( ( esk17_1 @ X6 )
= ( esk18_1 @ X6 ) )
| ( X6 @ esk5_0 @ esk6_0 @ esk6_0 )
| ~ $true ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_68,negated_conjecture,
( ( ( esk16_1 @ epred1_0 )
= c0 )
| ( ( esk17_1 @ epred1_0 )
= c0 ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_52]) ).
thf(c_0_69,negated_conjecture,
! [X6: iS > iS > iS > $o] :
( ( ( esk18_1 @ X6 )
= ( esk16_1 @ X6 ) )
| ( ( esk16_1 @ X6 )
= c0 )
| ( X6 @ esk5_0 @ esk6_0 @ esk6_0 )
| ( ( esk17_1 @ X6 )
!= c0 ) ),
inference(spm,[status(thm)],[c_0_19,c_0_66]) ).
thf(c_0_70,negated_conjecture,
! [X6: iS > iS > iS > $o] :
( ( ( esk18_1 @ X6 )
= ( esk16_1 @ X6 ) )
| ( ( esk18_1 @ X6 )
= ( esk17_1 @ X6 ) )
| ( ( esk16_1 @ X6 )
= ( cP @ ( esk19_1 @ X6 ) @ ( esk20_1 @ X6 ) ) )
| ( X6 @ esk5_0 @ esk6_0 @ esk6_0 ) ),
inference(cn,[status(thm)],[c_0_67]) ).
thf(c_0_71,negated_conjecture,
( ( ( esk16_1 @ epred1_0 )
= c0 )
| ~ ( epred1_0 @ ( esk16_1 @ epred1_0 ) @ c0 @ ( esk18_1 @ epred1_0 ) ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_68]),c_0_52]) ).
thf(c_0_72,negated_conjecture,
( ( ( esk18_1 @ epred1_0 )
= ( esk16_1 @ epred1_0 ) )
| ( ( esk16_1 @ epred1_0 )
= c0 ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_68]),c_0_52]) ).
thf(c_0_73,negated_conjecture,
! [X6: iS > iS > iS > $o] :
( ( ( esk18_1 @ X6 )
= ( esk17_1 @ X6 ) )
| ( ( esk18_1 @ X6 )
= ( esk16_1 @ X6 ) )
| ( X6 @ esk5_0 @ esk6_0 @ esk6_0 )
| ( ( esk16_1 @ X6 )
!= c0 ) ),
inference(spm,[status(thm)],[c_0_19,c_0_70]) ).
thf(c_0_74,negated_conjecture,
( ( esk16_1 @ epred1_0 )
= c0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_38])]) ).
thf(c_0_75,negated_conjecture,
! [X6: iS > iS > iS > $o] :
( ( ( esk18_1 @ X6 )
= ( cP @ ( esk23_1 @ X6 ) @ ( esk24_1 @ X6 ) ) )
| ( ( esk17_1 @ X6 )
= c0 )
| ( ( esk17_1 @ X6 )
= ( esk18_1 @ X6 ) )
| ( X6 @ esk5_0 @ esk6_0 @ esk6_0 )
| ~ $true ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_76,negated_conjecture,
( ( ( esk18_1 @ epred1_0 )
= ( esk17_1 @ epred1_0 ) )
| ( ( esk18_1 @ epred1_0 )
= c0 ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_52]) ).
thf(c_0_77,negated_conjecture,
! [X6: iS > iS > iS > $o] :
( ( ( esk17_1 @ X6 )
= c0 )
| ( ( esk18_1 @ X6 )
= ( esk17_1 @ X6 ) )
| ( ( esk18_1 @ X6 )
= ( cP @ ( esk23_1 @ X6 ) @ ( esk24_1 @ X6 ) ) )
| ( X6 @ esk5_0 @ esk6_0 @ esk6_0 ) ),
inference(cn,[status(thm)],[c_0_75]) ).
thf(c_0_78,negated_conjecture,
~ ( epred1_0 @ c0 @ ( esk17_1 @ epred1_0 ) @ ( esk18_1 @ epred1_0 ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_74]),c_0_52]) ).
thf(c_0_79,negated_conjecture,
( ( esk18_1 @ epred1_0 )
= c0 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_76]),c_0_74]),c_0_30])]),c_0_52]) ).
thf(c_0_80,negated_conjecture,
! [X6: iS > iS > iS > $o] :
( ( ( esk18_1 @ X6 )
= ( esk17_1 @ X6 ) )
| ( ( esk17_1 @ X6 )
= c0 )
| ( X6 @ esk5_0 @ esk6_0 @ esk6_0 )
| ( ( esk18_1 @ X6 )
!= c0 ) ),
inference(spm,[status(thm)],[c_0_19,c_0_77]) ).
thf(c_0_81,negated_conjecture,
~ ( epred1_0 @ c0 @ ( esk17_1 @ epred1_0 ) @ c0 ),
inference(rw,[status(thm)],[c_0_78,c_0_79]) ).
thf(c_0_82,negated_conjecture,
( ( esk17_1 @ epred1_0 )
= c0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_79]),c_0_52]) ).
thf(c_0_83,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_81,c_0_82]),c_0_38])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SEV212^5 : TPTP v8.2.0. Released v4.0.0.
% 0.06/0.12 % Command : run_E %s %d THM
% 0.13/0.33 % Computer : n014.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Sun May 19 18:41:08 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.20/0.46 Running higher-order theorem proving
% 0.20/0.46 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
% 0.71/0.56 # Version: 3.1.0-ho
% 0.71/0.56 # Preprocessing class: HSMSSMSSSSSNSSA.
% 0.71/0.56 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.71/0.56 # Starting post_as_ho1 with 1500s (5) cores
% 0.71/0.56 # Starting post_as_ho12 with 300s (1) cores
% 0.71/0.56 # Starting new_ho_3 with 300s (1) cores
% 0.71/0.56 # Starting ehoh_best2_full_lfho with 300s (1) cores
% 0.71/0.56 # post_as_ho1 with pid 4021 completed with status 0
% 0.71/0.56 # Result found by post_as_ho1
% 0.71/0.56 # Preprocessing class: HSMSSMSSSSSNSSA.
% 0.71/0.56 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.71/0.56 # Starting post_as_ho1 with 1500s (5) cores
% 0.71/0.56 # No SInE strategy applied
% 0.71/0.56 # Search class: HGUSF-FFMF21-SSSFFMBN
% 0.71/0.56 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.71/0.56 # Starting ehoh_best2_full_lfho with 772s (1) cores
% 0.71/0.56 # Starting post_as_ho1 with 151s (1) cores
% 0.71/0.56 # Starting sh2lt with 145s (1) cores
% 0.71/0.56 # Starting full_lambda_9 with 145s (1) cores
% 0.71/0.56 # Starting new_bool_3 with 145s (1) cores
% 0.71/0.56 # post_as_ho1 with pid 4027 completed with status 0
% 0.71/0.56 # Result found by post_as_ho1
% 0.71/0.56 # Preprocessing class: HSMSSMSSSSSNSSA.
% 0.71/0.56 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.71/0.56 # Starting post_as_ho1 with 1500s (5) cores
% 0.71/0.56 # No SInE strategy applied
% 0.71/0.56 # Search class: HGUSF-FFMF21-SSSFFMBN
% 0.71/0.56 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.71/0.56 # Starting ehoh_best2_full_lfho with 772s (1) cores
% 0.71/0.56 # Starting post_as_ho1 with 151s (1) cores
% 0.71/0.56 # Preprocessing time : 0.002 s
% 0.71/0.56 # Presaturation interreduction done
% 0.71/0.56
% 0.71/0.56 # Proof found!
% 0.71/0.56 # SZS status Theorem
% 0.71/0.56 # SZS output start CNFRefutation
% See solution above
% 0.71/0.56 # Parsed axioms : 4
% 0.71/0.56 # Removed by relevancy pruning/SinE : 0
% 0.71/0.56 # Initial clauses : 56
% 0.71/0.56 # Removed in clause preprocessing : 4
% 0.71/0.56 # Initial clauses in saturation : 52
% 0.71/0.56 # Processed clauses : 276
% 0.71/0.56 # ...of these trivial : 5
% 0.71/0.56 # ...subsumed : 51
% 0.71/0.56 # ...remaining for further processing : 220
% 0.71/0.56 # Other redundant clauses eliminated : 7
% 0.71/0.56 # Clauses deleted for lack of memory : 0
% 0.71/0.56 # Backward-subsumed : 15
% 0.71/0.56 # Backward-rewritten : 12
% 0.71/0.56 # Generated clauses : 1577
% 0.71/0.56 # ...of the previous two non-redundant : 1534
% 0.71/0.56 # ...aggressively subsumed : 0
% 0.71/0.56 # Contextual simplify-reflections : 1
% 0.71/0.56 # Paramodulations : 1566
% 0.71/0.56 # Factorizations : 6
% 0.71/0.56 # NegExts : 0
% 0.71/0.56 # Equation resolutions : 9
% 0.71/0.56 # Disequality decompositions : 0
% 0.71/0.56 # Total rewrite steps : 56
% 0.71/0.56 # ...of those cached : 45
% 0.71/0.56 # Propositional unsat checks : 0
% 0.71/0.56 # Propositional check models : 0
% 0.71/0.56 # Propositional check unsatisfiable : 0
% 0.71/0.56 # Propositional clauses : 0
% 0.71/0.56 # Propositional clauses after purity: 0
% 0.71/0.56 # Propositional unsat core size : 0
% 0.71/0.56 # Propositional preprocessing time : 0.000
% 0.71/0.56 # Propositional encoding time : 0.000
% 0.71/0.56 # Propositional solver time : 0.000
% 0.71/0.56 # Success case prop preproc time : 0.000
% 0.71/0.56 # Success case prop encoding time : 0.000
% 0.71/0.56 # Success case prop solver time : 0.000
% 0.71/0.56 # Current number of processed clauses : 138
% 0.71/0.56 # Positive orientable unit clauses : 8
% 0.71/0.56 # Positive unorientable unit clauses: 0
% 0.71/0.56 # Negative unit clauses : 3
% 0.71/0.56 # Non-unit-clauses : 127
% 0.71/0.56 # Current number of unprocessed clauses: 1310
% 0.71/0.56 # ...number of literals in the above : 10130
% 0.71/0.56 # Current number of archived formulas : 0
% 0.71/0.56 # Current number of archived clauses : 79
% 0.71/0.56 # Clause-clause subsumption calls (NU) : 1292
% 0.71/0.56 # Rec. Clause-clause subsumption calls : 116
% 0.71/0.56 # Non-unit clause-clause subsumptions : 65
% 0.71/0.56 # Unit Clause-clause subsumption calls : 103
% 0.71/0.56 # Rewrite failures with RHS unbound : 0
% 0.71/0.56 # BW rewrite match attempts : 9
% 0.71/0.56 # BW rewrite match successes : 6
% 0.71/0.56 # Condensation attempts : 0
% 0.71/0.56 # Condensation successes : 0
% 0.71/0.56 # Termbank termtop insertions : 36431
% 0.71/0.56 # Search garbage collected termcells : 1193
% 0.71/0.56
% 0.71/0.56 # -------------------------------------------------
% 0.71/0.56 # User time : 0.052 s
% 0.71/0.56 # System time : 0.003 s
% 0.71/0.56 # Total time : 0.055 s
% 0.71/0.56 # Maximum resident set size: 2032 pages
% 0.71/0.56
% 0.71/0.56 # -------------------------------------------------
% 0.71/0.56 # User time : 0.330 s
% 0.71/0.56 # System time : 0.016 s
% 0.71/0.56 # Total time : 0.346 s
% 0.71/0.56 # Maximum resident set size: 1772 pages
% 0.71/0.56 % E---3.1 exiting
% 0.71/0.56 % E exiting
%------------------------------------------------------------------------------