TSTP Solution File: SEV146^5 by E---3.1.00
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : SEV146^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n004.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 04:07:52 EDT 2024
% Result : Theorem 0.22s 0.56s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 16
% Syntax : Number of formulae : 108 ( 18 unt; 15 typ; 0 def)
% Number of atoms : 385 ( 0 equ; 0 cnn)
% Maximal formula atoms : 169 ( 4 avg)
% Number of connectives : 1837 ( 211 ~; 419 |; 79 &;1100 @)
% ( 0 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 73 ( 8 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 82 ( 82 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 14 usr; 6 con; 0-2 aty)
% Number of variables : 131 ( 0 ^ 131 !; 0 ?; 131 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
a: $tType ).
thf(decl_22,type,
epred1_0: a > a > $o ).
thf(decl_23,type,
esk1_0: a ).
thf(decl_24,type,
esk2_0: a ).
thf(decl_25,type,
epred2_0: a > $o ).
thf(decl_26,type,
esk3_0: a ).
thf(decl_27,type,
esk4_0: a ).
thf(decl_28,type,
esk5_0: a ).
thf(decl_29,type,
esk6_1: ( a > $o ) > a ).
thf(decl_30,type,
esk7_1: ( a > $o ) > a ).
thf(decl_31,type,
esk8_1: ( a > $o ) > a ).
thf(decl_32,type,
esk9_1: ( a > $o ) > a ).
thf(decl_33,type,
esk10_1: ( a > $o ) > a ).
thf(decl_34,type,
esk11_1: ( a > $o ) > a ).
thf(decl_35,type,
epred3_0: a > $o ).
thf(cTHM525_pme,conjecture,
! [X1: a > a > $o] :
( ! [X2: a,X3: a] :
( ( X1 @ X2 @ X3 )
=> ! [X4: a > $o] :
( ( ! [X5: a] :
( ( X1 @ X2 @ X5 )
=> ( X4 @ X5 ) )
& ! [X6: a,X5: a] :
( ( ( X4 @ X6 )
& ( X1 @ X6 @ X5 ) )
=> ( X4 @ X5 ) ) )
=> ( X4 @ X3 ) ) )
& ! [X2: a,X3: a,X7: a] :
( ( ! [X4: a > $o] :
( ( ! [X5: a] :
( ( X1 @ X2 @ X5 )
=> ( X4 @ X5 ) )
& ! [X6: a,X5: a] :
( ( ( X4 @ X6 )
& ( X1 @ X6 @ X5 ) )
=> ( X4 @ X5 ) ) )
=> ( X4 @ X3 ) )
& ! [X4: a > $o] :
( ( ! [X5: a] :
( ( X1 @ X3 @ X5 )
=> ( X4 @ X5 ) )
& ! [X6: a,X5: a] :
( ( ( X4 @ X6 )
& ( X1 @ X6 @ X5 ) )
=> ( X4 @ X5 ) ) )
=> ( X4 @ X7 ) ) )
=> ! [X4: a > $o] :
( ( ! [X5: a] :
( ( X1 @ X2 @ X5 )
=> ( X4 @ X5 ) )
& ! [X6: a,X5: a] :
( ( ( X4 @ X6 )
& ( X1 @ X6 @ X5 ) )
=> ( X4 @ X5 ) ) )
=> ( X4 @ X7 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM525_pme) ).
thf(c_0_1,negated_conjecture,
~ ! [X1: a > a > $o] :
( ! [X2: a,X3: a] :
( ( X1 @ X2 @ X3 )
=> ! [X4: a > $o] :
( ( ! [X5: a] :
( ( X1 @ X2 @ X5 )
=> ( X4 @ X5 ) )
& ! [X6: a,X5: a] :
( ( ( X4 @ X6 )
& ( X1 @ X6 @ X5 ) )
=> ( X4 @ X5 ) ) )
=> ( X4 @ X3 ) ) )
& ! [X2: a,X3: a,X7: a] :
( ( ! [X4: a > $o] :
( ( ! [X5: a] :
( ( X1 @ X2 @ X5 )
=> ( X4 @ X5 ) )
& ! [X6: a,X5: a] :
( ( ( X4 @ X6 )
& ( X1 @ X6 @ X5 ) )
=> ( X4 @ X5 ) ) )
=> ( X4 @ X3 ) )
& ! [X4: a > $o] :
( ( ! [X5: a] :
( ( X1 @ X3 @ X5 )
=> ( X4 @ X5 ) )
& ! [X6: a,X5: a] :
( ( ( X4 @ X6 )
& ( X1 @ X6 @ X5 ) )
=> ( X4 @ X5 ) ) )
=> ( X4 @ X7 ) ) )
=> ! [X4: a > $o] :
( ( ! [X5: a] :
( ( X1 @ X2 @ X5 )
=> ( X4 @ X5 ) )
& ! [X6: a,X5: a] :
( ( ( X4 @ X6 )
& ( X1 @ X6 @ X5 ) )
=> ( X4 @ X5 ) ) )
=> ( X4 @ X7 ) ) ) ),
inference(assume_negation,[status(cth)],[cTHM525_pme]) ).
thf(c_0_2,negated_conjecture,
! [X34: a,X35: a,X36: a,X40: a > $o,X44: a > $o,X49: a,X50: a,X51: a] :
( ( ( X40 @ ( esk7_1 @ X40 ) )
| ( epred1_0 @ esk3_0 @ ( esk6_1 @ X40 ) )
| ( X40 @ esk4_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 ) )
& ( ( epred1_0 @ ( esk7_1 @ X40 ) @ ( esk8_1 @ X40 ) )
| ( epred1_0 @ esk3_0 @ ( esk6_1 @ X40 ) )
| ( X40 @ esk4_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 ) )
& ( ~ ( X40 @ ( esk8_1 @ X40 ) )
| ( epred1_0 @ esk3_0 @ ( esk6_1 @ X40 ) )
| ( X40 @ esk4_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 ) )
& ( ( X40 @ ( esk7_1 @ X40 ) )
| ~ ( X40 @ ( esk6_1 @ X40 ) )
| ( X40 @ esk4_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 ) )
& ( ( epred1_0 @ ( esk7_1 @ X40 ) @ ( esk8_1 @ X40 ) )
| ~ ( X40 @ ( esk6_1 @ X40 ) )
| ( X40 @ esk4_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 ) )
& ( ~ ( X40 @ ( esk8_1 @ X40 ) )
| ~ ( X40 @ ( esk6_1 @ X40 ) )
| ( X40 @ esk4_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 ) )
& ( ( X44 @ ( esk10_1 @ X44 ) )
| ( epred1_0 @ esk4_0 @ ( esk9_1 @ X44 ) )
| ( X44 @ esk5_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 ) )
& ( ( epred1_0 @ ( esk10_1 @ X44 ) @ ( esk11_1 @ X44 ) )
| ( epred1_0 @ esk4_0 @ ( esk9_1 @ X44 ) )
| ( X44 @ esk5_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 ) )
& ( ~ ( X44 @ ( esk11_1 @ X44 ) )
| ( epred1_0 @ esk4_0 @ ( esk9_1 @ X44 ) )
| ( X44 @ esk5_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 ) )
& ( ( X44 @ ( esk10_1 @ X44 ) )
| ~ ( X44 @ ( esk9_1 @ X44 ) )
| ( X44 @ esk5_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 ) )
& ( ( epred1_0 @ ( esk10_1 @ X44 ) @ ( esk11_1 @ X44 ) )
| ~ ( X44 @ ( esk9_1 @ X44 ) )
| ( X44 @ esk5_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 ) )
& ( ~ ( X44 @ ( esk11_1 @ X44 ) )
| ~ ( X44 @ ( esk9_1 @ X44 ) )
| ( X44 @ esk5_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 ) )
& ( ~ ( epred1_0 @ esk3_0 @ X49 )
| ( epred3_0 @ X49 )
| ( epred1_0 @ esk1_0 @ esk2_0 ) )
& ( ~ ( epred3_0 @ X50 )
| ~ ( epred1_0 @ X50 @ X51 )
| ( epred3_0 @ X51 )
| ( epred1_0 @ esk1_0 @ esk2_0 ) )
& ( ~ ( epred3_0 @ esk5_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 ) )
& ( ( X40 @ ( esk7_1 @ X40 ) )
| ( epred1_0 @ esk3_0 @ ( esk6_1 @ X40 ) )
| ( X40 @ esk4_0 )
| ~ ( epred1_0 @ esk1_0 @ X34 )
| ( epred2_0 @ X34 ) )
& ( ( epred1_0 @ ( esk7_1 @ X40 ) @ ( esk8_1 @ X40 ) )
| ( epred1_0 @ esk3_0 @ ( esk6_1 @ X40 ) )
| ( X40 @ esk4_0 )
| ~ ( epred1_0 @ esk1_0 @ X34 )
| ( epred2_0 @ X34 ) )
& ( ~ ( X40 @ ( esk8_1 @ X40 ) )
| ( epred1_0 @ esk3_0 @ ( esk6_1 @ X40 ) )
| ( X40 @ esk4_0 )
| ~ ( epred1_0 @ esk1_0 @ X34 )
| ( epred2_0 @ X34 ) )
& ( ( X40 @ ( esk7_1 @ X40 ) )
| ~ ( X40 @ ( esk6_1 @ X40 ) )
| ( X40 @ esk4_0 )
| ~ ( epred1_0 @ esk1_0 @ X34 )
| ( epred2_0 @ X34 ) )
& ( ( epred1_0 @ ( esk7_1 @ X40 ) @ ( esk8_1 @ X40 ) )
| ~ ( X40 @ ( esk6_1 @ X40 ) )
| ( X40 @ esk4_0 )
| ~ ( epred1_0 @ esk1_0 @ X34 )
| ( epred2_0 @ X34 ) )
& ( ~ ( X40 @ ( esk8_1 @ X40 ) )
| ~ ( X40 @ ( esk6_1 @ X40 ) )
| ( X40 @ esk4_0 )
| ~ ( epred1_0 @ esk1_0 @ X34 )
| ( epred2_0 @ X34 ) )
& ( ( X44 @ ( esk10_1 @ X44 ) )
| ( epred1_0 @ esk4_0 @ ( esk9_1 @ X44 ) )
| ( X44 @ esk5_0 )
| ~ ( epred1_0 @ esk1_0 @ X34 )
| ( epred2_0 @ X34 ) )
& ( ( epred1_0 @ ( esk10_1 @ X44 ) @ ( esk11_1 @ X44 ) )
| ( epred1_0 @ esk4_0 @ ( esk9_1 @ X44 ) )
| ( X44 @ esk5_0 )
| ~ ( epred1_0 @ esk1_0 @ X34 )
| ( epred2_0 @ X34 ) )
& ( ~ ( X44 @ ( esk11_1 @ X44 ) )
| ( epred1_0 @ esk4_0 @ ( esk9_1 @ X44 ) )
| ( X44 @ esk5_0 )
| ~ ( epred1_0 @ esk1_0 @ X34 )
| ( epred2_0 @ X34 ) )
& ( ( X44 @ ( esk10_1 @ X44 ) )
| ~ ( X44 @ ( esk9_1 @ X44 ) )
| ( X44 @ esk5_0 )
| ~ ( epred1_0 @ esk1_0 @ X34 )
| ( epred2_0 @ X34 ) )
& ( ( epred1_0 @ ( esk10_1 @ X44 ) @ ( esk11_1 @ X44 ) )
| ~ ( X44 @ ( esk9_1 @ X44 ) )
| ( X44 @ esk5_0 )
| ~ ( epred1_0 @ esk1_0 @ X34 )
| ( epred2_0 @ X34 ) )
& ( ~ ( X44 @ ( esk11_1 @ X44 ) )
| ~ ( X44 @ ( esk9_1 @ X44 ) )
| ( X44 @ esk5_0 )
| ~ ( epred1_0 @ esk1_0 @ X34 )
| ( epred2_0 @ X34 ) )
& ( ~ ( epred1_0 @ esk3_0 @ X49 )
| ( epred3_0 @ X49 )
| ~ ( epred1_0 @ esk1_0 @ X34 )
| ( epred2_0 @ X34 ) )
& ( ~ ( epred3_0 @ X50 )
| ~ ( epred1_0 @ X50 @ X51 )
| ( epred3_0 @ X51 )
| ~ ( epred1_0 @ esk1_0 @ X34 )
| ( epred2_0 @ X34 ) )
& ( ~ ( epred3_0 @ esk5_0 )
| ~ ( epred1_0 @ esk1_0 @ X34 )
| ( epred2_0 @ X34 ) )
& ( ( X40 @ ( esk7_1 @ X40 ) )
| ( epred1_0 @ esk3_0 @ ( esk6_1 @ X40 ) )
| ( X40 @ esk4_0 )
| ~ ( epred2_0 @ X35 )
| ~ ( epred1_0 @ X35 @ X36 )
| ( epred2_0 @ X36 ) )
& ( ( epred1_0 @ ( esk7_1 @ X40 ) @ ( esk8_1 @ X40 ) )
| ( epred1_0 @ esk3_0 @ ( esk6_1 @ X40 ) )
| ( X40 @ esk4_0 )
| ~ ( epred2_0 @ X35 )
| ~ ( epred1_0 @ X35 @ X36 )
| ( epred2_0 @ X36 ) )
& ( ~ ( X40 @ ( esk8_1 @ X40 ) )
| ( epred1_0 @ esk3_0 @ ( esk6_1 @ X40 ) )
| ( X40 @ esk4_0 )
| ~ ( epred2_0 @ X35 )
| ~ ( epred1_0 @ X35 @ X36 )
| ( epred2_0 @ X36 ) )
& ( ( X40 @ ( esk7_1 @ X40 ) )
| ~ ( X40 @ ( esk6_1 @ X40 ) )
| ( X40 @ esk4_0 )
| ~ ( epred2_0 @ X35 )
| ~ ( epred1_0 @ X35 @ X36 )
| ( epred2_0 @ X36 ) )
& ( ( epred1_0 @ ( esk7_1 @ X40 ) @ ( esk8_1 @ X40 ) )
| ~ ( X40 @ ( esk6_1 @ X40 ) )
| ( X40 @ esk4_0 )
| ~ ( epred2_0 @ X35 )
| ~ ( epred1_0 @ X35 @ X36 )
| ( epred2_0 @ X36 ) )
& ( ~ ( X40 @ ( esk8_1 @ X40 ) )
| ~ ( X40 @ ( esk6_1 @ X40 ) )
| ( X40 @ esk4_0 )
| ~ ( epred2_0 @ X35 )
| ~ ( epred1_0 @ X35 @ X36 )
| ( epred2_0 @ X36 ) )
& ( ( X44 @ ( esk10_1 @ X44 ) )
| ( epred1_0 @ esk4_0 @ ( esk9_1 @ X44 ) )
| ( X44 @ esk5_0 )
| ~ ( epred2_0 @ X35 )
| ~ ( epred1_0 @ X35 @ X36 )
| ( epred2_0 @ X36 ) )
& ( ( epred1_0 @ ( esk10_1 @ X44 ) @ ( esk11_1 @ X44 ) )
| ( epred1_0 @ esk4_0 @ ( esk9_1 @ X44 ) )
| ( X44 @ esk5_0 )
| ~ ( epred2_0 @ X35 )
| ~ ( epred1_0 @ X35 @ X36 )
| ( epred2_0 @ X36 ) )
& ( ~ ( X44 @ ( esk11_1 @ X44 ) )
| ( epred1_0 @ esk4_0 @ ( esk9_1 @ X44 ) )
| ( X44 @ esk5_0 )
| ~ ( epred2_0 @ X35 )
| ~ ( epred1_0 @ X35 @ X36 )
| ( epred2_0 @ X36 ) )
& ( ( X44 @ ( esk10_1 @ X44 ) )
| ~ ( X44 @ ( esk9_1 @ X44 ) )
| ( X44 @ esk5_0 )
| ~ ( epred2_0 @ X35 )
| ~ ( epred1_0 @ X35 @ X36 )
| ( epred2_0 @ X36 ) )
& ( ( epred1_0 @ ( esk10_1 @ X44 ) @ ( esk11_1 @ X44 ) )
| ~ ( X44 @ ( esk9_1 @ X44 ) )
| ( X44 @ esk5_0 )
| ~ ( epred2_0 @ X35 )
| ~ ( epred1_0 @ X35 @ X36 )
| ( epred2_0 @ X36 ) )
& ( ~ ( X44 @ ( esk11_1 @ X44 ) )
| ~ ( X44 @ ( esk9_1 @ X44 ) )
| ( X44 @ esk5_0 )
| ~ ( epred2_0 @ X35 )
| ~ ( epred1_0 @ X35 @ X36 )
| ( epred2_0 @ X36 ) )
& ( ~ ( epred1_0 @ esk3_0 @ X49 )
| ( epred3_0 @ X49 )
| ~ ( epred2_0 @ X35 )
| ~ ( epred1_0 @ X35 @ X36 )
| ( epred2_0 @ X36 ) )
& ( ~ ( epred3_0 @ X50 )
| ~ ( epred1_0 @ X50 @ X51 )
| ( epred3_0 @ X51 )
| ~ ( epred2_0 @ X35 )
| ~ ( epred1_0 @ X35 @ X36 )
| ( epred2_0 @ X36 ) )
& ( ~ ( epred3_0 @ esk5_0 )
| ~ ( epred2_0 @ X35 )
| ~ ( epred1_0 @ X35 @ X36 )
| ( epred2_0 @ X36 ) )
& ( ( X40 @ ( esk7_1 @ X40 ) )
| ( epred1_0 @ esk3_0 @ ( esk6_1 @ X40 ) )
| ( X40 @ esk4_0 )
| ~ ( epred2_0 @ esk2_0 ) )
& ( ( epred1_0 @ ( esk7_1 @ X40 ) @ ( esk8_1 @ X40 ) )
| ( epred1_0 @ esk3_0 @ ( esk6_1 @ X40 ) )
| ( X40 @ esk4_0 )
| ~ ( epred2_0 @ esk2_0 ) )
& ( ~ ( X40 @ ( esk8_1 @ X40 ) )
| ( epred1_0 @ esk3_0 @ ( esk6_1 @ X40 ) )
| ( X40 @ esk4_0 )
| ~ ( epred2_0 @ esk2_0 ) )
& ( ( X40 @ ( esk7_1 @ X40 ) )
| ~ ( X40 @ ( esk6_1 @ X40 ) )
| ( X40 @ esk4_0 )
| ~ ( epred2_0 @ esk2_0 ) )
& ( ( epred1_0 @ ( esk7_1 @ X40 ) @ ( esk8_1 @ X40 ) )
| ~ ( X40 @ ( esk6_1 @ X40 ) )
| ( X40 @ esk4_0 )
| ~ ( epred2_0 @ esk2_0 ) )
& ( ~ ( X40 @ ( esk8_1 @ X40 ) )
| ~ ( X40 @ ( esk6_1 @ X40 ) )
| ( X40 @ esk4_0 )
| ~ ( epred2_0 @ esk2_0 ) )
& ( ( X44 @ ( esk10_1 @ X44 ) )
| ( epred1_0 @ esk4_0 @ ( esk9_1 @ X44 ) )
| ( X44 @ esk5_0 )
| ~ ( epred2_0 @ esk2_0 ) )
& ( ( epred1_0 @ ( esk10_1 @ X44 ) @ ( esk11_1 @ X44 ) )
| ( epred1_0 @ esk4_0 @ ( esk9_1 @ X44 ) )
| ( X44 @ esk5_0 )
| ~ ( epred2_0 @ esk2_0 ) )
& ( ~ ( X44 @ ( esk11_1 @ X44 ) )
| ( epred1_0 @ esk4_0 @ ( esk9_1 @ X44 ) )
| ( X44 @ esk5_0 )
| ~ ( epred2_0 @ esk2_0 ) )
& ( ( X44 @ ( esk10_1 @ X44 ) )
| ~ ( X44 @ ( esk9_1 @ X44 ) )
| ( X44 @ esk5_0 )
| ~ ( epred2_0 @ esk2_0 ) )
& ( ( epred1_0 @ ( esk10_1 @ X44 ) @ ( esk11_1 @ X44 ) )
| ~ ( X44 @ ( esk9_1 @ X44 ) )
| ( X44 @ esk5_0 )
| ~ ( epred2_0 @ esk2_0 ) )
& ( ~ ( X44 @ ( esk11_1 @ X44 ) )
| ~ ( X44 @ ( esk9_1 @ X44 ) )
| ( X44 @ esk5_0 )
| ~ ( epred2_0 @ esk2_0 ) )
& ( ~ ( epred1_0 @ esk3_0 @ X49 )
| ( epred3_0 @ X49 )
| ~ ( epred2_0 @ esk2_0 ) )
& ( ~ ( epred3_0 @ X50 )
| ~ ( epred1_0 @ X50 @ X51 )
| ( epred3_0 @ X51 )
| ~ ( epred2_0 @ esk2_0 ) )
& ( ~ ( epred3_0 @ esk5_0 )
| ~ ( epred2_0 @ 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_1])])])])])]) ).
thf(c_0_3,negated_conjecture,
! [X2: a,X3: a] :
( ( epred3_0 @ X3 )
| ( epred1_0 @ esk1_0 @ esk2_0 )
| ~ ( epred3_0 @ X2 )
| ~ ( epred1_0 @ X2 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_4,negated_conjecture,
! [X4: a > $o] :
( ( epred1_0 @ ( esk7_1 @ X4 ) @ ( esk8_1 @ X4 ) )
| ( epred1_0 @ esk3_0 @ ( esk6_1 @ X4 ) )
| ( X4 @ esk4_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_5,negated_conjecture,
! [X4: a > $o] :
( ( epred1_0 @ esk3_0 @ ( esk6_1 @ X4 ) )
| ( epred1_0 @ esk1_0 @ esk2_0 )
| ( epred3_0 @ ( esk8_1 @ X4 ) )
| ( X4 @ esk4_0 )
| ~ ( epred3_0 @ ( esk7_1 @ X4 ) ) ),
inference(spm,[status(thm)],[c_0_3,c_0_4]) ).
thf(c_0_6,negated_conjecture,
! [X4: a > $o] :
( ( X4 @ ( esk7_1 @ X4 ) )
| ( epred1_0 @ esk3_0 @ ( esk6_1 @ X4 ) )
| ( X4 @ esk4_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_7,negated_conjecture,
! [X4: a > $o] :
( ( epred1_0 @ esk3_0 @ ( esk6_1 @ X4 ) )
| ( X4 @ esk4_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 )
| ~ ( X4 @ ( esk8_1 @ X4 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_8,negated_conjecture,
! [X4: a > $o] :
( ( epred1_0 @ ( esk10_1 @ X4 ) @ ( esk11_1 @ X4 ) )
| ( epred1_0 @ esk4_0 @ ( esk9_1 @ X4 ) )
| ( X4 @ esk5_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_9,negated_conjecture,
! [X2: a] :
( ( epred2_0 @ X2 )
| ~ ( epred3_0 @ esk5_0 )
| ~ ( epred1_0 @ esk1_0 @ X2 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_10,negated_conjecture,
( ( epred1_0 @ esk1_0 @ esk2_0 )
| ~ ( epred3_0 @ esk5_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_11,negated_conjecture,
( ~ ( epred3_0 @ esk5_0 )
| ~ ( epred2_0 @ esk2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_12,negated_conjecture,
! [X2: a] :
( ( epred3_0 @ X2 )
| ( epred1_0 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ esk3_0 @ X2 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_13,negated_conjecture,
( ( epred1_0 @ esk3_0 @ ( esk6_1 @ epred3_0 ) )
| ( epred1_0 @ esk1_0 @ esk2_0 )
| ( epred3_0 @ esk4_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_6]),c_0_7]) ).
thf(c_0_14,negated_conjecture,
! [X4: a > $o] :
( ( epred1_0 @ esk4_0 @ ( esk9_1 @ X4 ) )
| ( epred1_0 @ esk1_0 @ esk2_0 )
| ( epred3_0 @ ( esk11_1 @ X4 ) )
| ( X4 @ esk5_0 )
| ~ ( epred3_0 @ ( esk10_1 @ X4 ) ) ),
inference(spm,[status(thm)],[c_0_3,c_0_8]) ).
thf(c_0_15,negated_conjecture,
! [X4: a > $o] :
( ( X4 @ ( esk10_1 @ X4 ) )
| ( epred1_0 @ esk4_0 @ ( esk9_1 @ X4 ) )
| ( X4 @ esk5_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_16,negated_conjecture,
~ ( epred3_0 @ esk5_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11]) ).
thf(c_0_17,negated_conjecture,
! [X4: a > $o] :
( ( epred1_0 @ ( esk7_1 @ X4 ) @ ( esk8_1 @ X4 ) )
| ( X4 @ esk4_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 )
| ~ ( X4 @ ( esk6_1 @ X4 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_18,negated_conjecture,
( ( epred3_0 @ ( esk6_1 @ epred3_0 ) )
| ( epred1_0 @ esk1_0 @ esk2_0 )
| ( epred3_0 @ esk4_0 ) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
thf(c_0_19,negated_conjecture,
! [X4: a > $o] :
( ( X4 @ ( esk7_1 @ X4 ) )
| ( X4 @ esk4_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 )
| ~ ( X4 @ ( esk6_1 @ X4 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_20,negated_conjecture,
! [X4: a > $o] :
( ( X4 @ esk4_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 )
| ~ ( X4 @ ( esk8_1 @ X4 ) )
| ~ ( X4 @ ( esk6_1 @ X4 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_21,negated_conjecture,
! [X4: a > $o] :
( ( epred1_0 @ esk4_0 @ ( esk9_1 @ X4 ) )
| ( X4 @ esk5_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 )
| ~ ( X4 @ ( esk11_1 @ X4 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_22,negated_conjecture,
( ( epred1_0 @ esk4_0 @ ( esk9_1 @ epred3_0 ) )
| ( epred3_0 @ ( esk11_1 @ epred3_0 ) )
| ( epred1_0 @ esk1_0 @ esk2_0 ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16]) ).
thf(c_0_23,negated_conjecture,
( ( epred1_0 @ ( esk7_1 @ epred3_0 ) @ ( esk8_1 @ epred3_0 ) )
| ( epred1_0 @ esk1_0 @ esk2_0 )
| ( epred3_0 @ esk4_0 ) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
thf(c_0_24,negated_conjecture,
( ( epred3_0 @ ( esk7_1 @ epred3_0 ) )
| ( epred1_0 @ esk1_0 @ esk2_0 )
| ( epred3_0 @ esk4_0 ) ),
inference(spm,[status(thm)],[c_0_19,c_0_18]) ).
thf(c_0_25,negated_conjecture,
( ( epred1_0 @ esk1_0 @ esk2_0 )
| ( epred3_0 @ esk4_0 )
| ~ ( epred3_0 @ ( esk8_1 @ epred3_0 ) ) ),
inference(spm,[status(thm)],[c_0_20,c_0_18]) ).
thf(c_0_26,negated_conjecture,
( ( epred1_0 @ esk4_0 @ ( esk9_1 @ epred3_0 ) )
| ( epred1_0 @ esk1_0 @ esk2_0 ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_16]) ).
thf(c_0_27,negated_conjecture,
( ( epred1_0 @ esk1_0 @ esk2_0 )
| ( epred3_0 @ esk4_0 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_23]),c_0_24]),c_0_25]) ).
thf(c_0_28,negated_conjecture,
! [X4: a > $o] :
( ( epred1_0 @ ( esk10_1 @ X4 ) @ ( esk11_1 @ X4 ) )
| ( X4 @ esk5_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 )
| ~ ( X4 @ ( esk9_1 @ X4 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_29,negated_conjecture,
( ( epred3_0 @ ( esk9_1 @ epred3_0 ) )
| ( epred1_0 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_26]),c_0_27]) ).
thf(c_0_30,negated_conjecture,
! [X4: a > $o] :
( ( X4 @ ( esk10_1 @ X4 ) )
| ( X4 @ esk5_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 )
| ~ ( X4 @ ( esk9_1 @ X4 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_31,negated_conjecture,
! [X4: a > $o] :
( ( X4 @ esk5_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 )
| ~ ( X4 @ ( esk11_1 @ X4 ) )
| ~ ( X4 @ ( esk9_1 @ X4 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_32,negated_conjecture,
( ( epred1_0 @ ( esk10_1 @ epred3_0 ) @ ( esk11_1 @ epred3_0 ) )
| ( epred1_0 @ esk1_0 @ esk2_0 ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_16]) ).
thf(c_0_33,negated_conjecture,
( ( epred3_0 @ ( esk10_1 @ epred3_0 ) )
| ( epred1_0 @ esk1_0 @ esk2_0 ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_29]),c_0_16]) ).
thf(c_0_34,negated_conjecture,
( ( epred1_0 @ esk1_0 @ esk2_0 )
| ~ ( epred3_0 @ ( esk11_1 @ epred3_0 ) ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_29]),c_0_16]) ).
thf(c_0_35,negated_conjecture,
! [X2: a,X3: a,X5: a] :
( ( epred3_0 @ X3 )
| ( epred2_0 @ X5 )
| ~ ( epred3_0 @ X2 )
| ~ ( epred1_0 @ X2 @ X3 )
| ~ ( epred1_0 @ esk1_0 @ X5 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_36,negated_conjecture,
epred1_0 @ esk1_0 @ esk2_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_32]),c_0_33]),c_0_34]) ).
thf(c_0_37,negated_conjecture,
! [X2: a,X3: a] :
( ( epred3_0 @ X3 )
| ~ ( epred3_0 @ X2 )
| ~ ( epred1_0 @ X2 @ X3 )
| ~ ( epred2_0 @ esk2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_38,negated_conjecture,
! [X4: a > $o,X2: a] :
( ( epred1_0 @ ( esk7_1 @ X4 ) @ ( esk8_1 @ X4 ) )
| ( epred1_0 @ esk3_0 @ ( esk6_1 @ X4 ) )
| ( X4 @ esk4_0 )
| ( epred2_0 @ X2 )
| ~ ( epred1_0 @ esk1_0 @ X2 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_39,negated_conjecture,
! [X4: a > $o] :
( ( epred1_0 @ ( esk7_1 @ X4 ) @ ( esk8_1 @ X4 ) )
| ( epred1_0 @ esk3_0 @ ( esk6_1 @ X4 ) )
| ( X4 @ esk4_0 )
| ~ ( epred2_0 @ esk2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_40,negated_conjecture,
! [X2: a,X3: a] :
( ( epred3_0 @ X2 )
| ~ ( epred1_0 @ X3 @ X2 )
| ~ ( epred3_0 @ X3 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37]) ).
thf(c_0_41,negated_conjecture,
! [X4: a > $o] :
( ( epred1_0 @ ( esk7_1 @ X4 ) @ ( esk8_1 @ X4 ) )
| ( epred1_0 @ esk3_0 @ ( esk6_1 @ X4 ) )
| ( X4 @ esk4_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_36]),c_0_39]) ).
thf(c_0_42,negated_conjecture,
! [X4: a > $o,X2: a] :
( ( X4 @ ( esk7_1 @ X4 ) )
| ( epred1_0 @ esk3_0 @ ( esk6_1 @ X4 ) )
| ( X4 @ esk4_0 )
| ( epred2_0 @ X2 )
| ~ ( epred1_0 @ esk1_0 @ X2 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_43,negated_conjecture,
! [X4: a > $o] :
( ( X4 @ ( esk7_1 @ X4 ) )
| ( epred1_0 @ esk3_0 @ ( esk6_1 @ X4 ) )
| ( X4 @ esk4_0 )
| ~ ( epred2_0 @ esk2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_44,negated_conjecture,
! [X4: a > $o,X2: a] :
( ( epred1_0 @ esk3_0 @ ( esk6_1 @ X4 ) )
| ( X4 @ esk4_0 )
| ( epred2_0 @ X2 )
| ~ ( X4 @ ( esk8_1 @ X4 ) )
| ~ ( epred1_0 @ esk1_0 @ X2 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_45,negated_conjecture,
! [X4: a > $o] :
( ( epred1_0 @ esk3_0 @ ( esk6_1 @ X4 ) )
| ( X4 @ esk4_0 )
| ~ ( X4 @ ( esk8_1 @ X4 ) )
| ~ ( epred2_0 @ esk2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_46,negated_conjecture,
! [X4: a > $o,X2: a] :
( ( epred1_0 @ ( esk10_1 @ X4 ) @ ( esk11_1 @ X4 ) )
| ( epred1_0 @ esk4_0 @ ( esk9_1 @ X4 ) )
| ( X4 @ esk5_0 )
| ( epred2_0 @ X2 )
| ~ ( epred1_0 @ esk1_0 @ X2 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_47,negated_conjecture,
! [X4: a > $o] :
( ( epred1_0 @ ( esk10_1 @ X4 ) @ ( esk11_1 @ X4 ) )
| ( epred1_0 @ esk4_0 @ ( esk9_1 @ X4 ) )
| ( X4 @ esk5_0 )
| ~ ( epred2_0 @ esk2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_48,negated_conjecture,
! [X2: a,X3: a] :
( ( epred3_0 @ X2 )
| ( epred2_0 @ X3 )
| ~ ( epred1_0 @ esk3_0 @ X2 )
| ~ ( epred1_0 @ esk1_0 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_49,negated_conjecture,
! [X2: a] :
( ( epred3_0 @ X2 )
| ~ ( epred1_0 @ esk3_0 @ X2 )
| ~ ( epred2_0 @ esk2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_50,negated_conjecture,
! [X4: a > $o] :
( ( epred1_0 @ esk3_0 @ ( esk6_1 @ X4 ) )
| ( epred3_0 @ ( esk8_1 @ X4 ) )
| ( X4 @ esk4_0 )
| ~ ( epred3_0 @ ( esk7_1 @ X4 ) ) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
thf(c_0_51,negated_conjecture,
! [X4: a > $o] :
( ( epred1_0 @ esk3_0 @ ( esk6_1 @ X4 ) )
| ( X4 @ ( esk7_1 @ X4 ) )
| ( X4 @ esk4_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_36]),c_0_43]) ).
thf(c_0_52,negated_conjecture,
! [X4: a > $o] :
( ( epred1_0 @ esk3_0 @ ( esk6_1 @ X4 ) )
| ( X4 @ esk4_0 )
| ~ ( X4 @ ( esk8_1 @ X4 ) ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_36]),c_0_45]) ).
thf(c_0_53,negated_conjecture,
! [X4: a > $o] :
( ( epred1_0 @ ( esk10_1 @ X4 ) @ ( esk11_1 @ X4 ) )
| ( epred1_0 @ esk4_0 @ ( esk9_1 @ X4 ) )
| ( X4 @ esk5_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_36]),c_0_47]) ).
thf(c_0_54,negated_conjecture,
! [X4: a > $o,X2: a] :
( ( X4 @ ( esk10_1 @ X4 ) )
| ( epred1_0 @ esk4_0 @ ( esk9_1 @ X4 ) )
| ( X4 @ esk5_0 )
| ( epred2_0 @ X2 )
| ~ ( epred1_0 @ esk1_0 @ X2 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_55,negated_conjecture,
! [X4: a > $o] :
( ( X4 @ ( esk10_1 @ X4 ) )
| ( epred1_0 @ esk4_0 @ ( esk9_1 @ X4 ) )
| ( X4 @ esk5_0 )
| ~ ( epred2_0 @ esk2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_56,negated_conjecture,
! [X4: a > $o,X2: a] :
( ( epred1_0 @ ( esk7_1 @ X4 ) @ ( esk8_1 @ X4 ) )
| ( X4 @ esk4_0 )
| ( epred2_0 @ X2 )
| ~ ( X4 @ ( esk6_1 @ X4 ) )
| ~ ( epred1_0 @ esk1_0 @ X2 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_57,negated_conjecture,
! [X4: a > $o] :
( ( epred1_0 @ ( esk7_1 @ X4 ) @ ( esk8_1 @ X4 ) )
| ( X4 @ esk4_0 )
| ~ ( X4 @ ( esk6_1 @ X4 ) )
| ~ ( epred2_0 @ esk2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_58,negated_conjecture,
! [X2: a] :
( ( epred3_0 @ X2 )
| ~ ( epred1_0 @ esk3_0 @ X2 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_36]),c_0_49]) ).
thf(c_0_59,negated_conjecture,
( ( epred1_0 @ esk3_0 @ ( esk6_1 @ epred3_0 ) )
| ( epred3_0 @ esk4_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_52]) ).
thf(c_0_60,negated_conjecture,
! [X4: a > $o,X2: a] :
( ( X4 @ ( esk7_1 @ X4 ) )
| ( X4 @ esk4_0 )
| ( epred2_0 @ X2 )
| ~ ( X4 @ ( esk6_1 @ X4 ) )
| ~ ( epred1_0 @ esk1_0 @ X2 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_61,negated_conjecture,
! [X4: a > $o] :
( ( X4 @ ( esk7_1 @ X4 ) )
| ( X4 @ esk4_0 )
| ~ ( X4 @ ( esk6_1 @ X4 ) )
| ~ ( epred2_0 @ esk2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_62,negated_conjecture,
! [X4: a > $o,X2: a] :
( ( X4 @ esk4_0 )
| ( epred2_0 @ X2 )
| ~ ( X4 @ ( esk8_1 @ X4 ) )
| ~ ( X4 @ ( esk6_1 @ X4 ) )
| ~ ( epred1_0 @ esk1_0 @ X2 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_63,negated_conjecture,
! [X4: a > $o] :
( ( X4 @ esk4_0 )
| ~ ( X4 @ ( esk8_1 @ X4 ) )
| ~ ( X4 @ ( esk6_1 @ X4 ) )
| ~ ( epred2_0 @ esk2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_64,negated_conjecture,
! [X4: a > $o,X2: a] :
( ( epred1_0 @ esk4_0 @ ( esk9_1 @ X4 ) )
| ( X4 @ esk5_0 )
| ( epred2_0 @ X2 )
| ~ ( X4 @ ( esk11_1 @ X4 ) )
| ~ ( epred1_0 @ esk1_0 @ X2 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_65,negated_conjecture,
! [X4: a > $o] :
( ( epred1_0 @ esk4_0 @ ( esk9_1 @ X4 ) )
| ( X4 @ esk5_0 )
| ~ ( X4 @ ( esk11_1 @ X4 ) )
| ~ ( epred2_0 @ esk2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_66,negated_conjecture,
! [X4: a > $o] :
( ( epred1_0 @ esk4_0 @ ( esk9_1 @ X4 ) )
| ( epred3_0 @ ( esk11_1 @ X4 ) )
| ( X4 @ esk5_0 )
| ~ ( epred3_0 @ ( esk10_1 @ X4 ) ) ),
inference(spm,[status(thm)],[c_0_40,c_0_53]) ).
thf(c_0_67,negated_conjecture,
! [X4: a > $o] :
( ( epred1_0 @ esk4_0 @ ( esk9_1 @ X4 ) )
| ( X4 @ ( esk10_1 @ X4 ) )
| ( X4 @ esk5_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_36]),c_0_55]) ).
thf(c_0_68,negated_conjecture,
! [X4: a > $o] :
( ( epred1_0 @ ( esk7_1 @ X4 ) @ ( esk8_1 @ X4 ) )
| ( X4 @ esk4_0 )
| ~ ( X4 @ ( esk6_1 @ X4 ) ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_36]),c_0_57]) ).
thf(c_0_69,negated_conjecture,
( ( epred3_0 @ ( esk6_1 @ epred3_0 ) )
| ( epred3_0 @ esk4_0 ) ),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
thf(c_0_70,negated_conjecture,
! [X4: a > $o] :
( ( X4 @ ( esk7_1 @ X4 ) )
| ( X4 @ esk4_0 )
| ~ ( X4 @ ( esk6_1 @ X4 ) ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_36]),c_0_61]) ).
thf(c_0_71,negated_conjecture,
! [X4: a > $o] :
( ( X4 @ esk4_0 )
| ~ ( X4 @ ( esk6_1 @ X4 ) )
| ~ ( X4 @ ( esk8_1 @ X4 ) ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_36]),c_0_63]) ).
thf(c_0_72,negated_conjecture,
! [X4: a > $o] :
( ( epred1_0 @ esk4_0 @ ( esk9_1 @ X4 ) )
| ( X4 @ esk5_0 )
| ~ ( X4 @ ( esk11_1 @ X4 ) ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_36]),c_0_65]) ).
thf(c_0_73,negated_conjecture,
( ( epred1_0 @ esk4_0 @ ( esk9_1 @ epred3_0 ) )
| ( epred3_0 @ ( esk11_1 @ epred3_0 ) ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_16]) ).
thf(c_0_74,negated_conjecture,
( ( epred1_0 @ ( esk7_1 @ epred3_0 ) @ ( esk8_1 @ epred3_0 ) )
| ( epred3_0 @ esk4_0 ) ),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
thf(c_0_75,negated_conjecture,
( ( epred3_0 @ ( esk7_1 @ epred3_0 ) )
| ( epred3_0 @ esk4_0 ) ),
inference(spm,[status(thm)],[c_0_70,c_0_69]) ).
thf(c_0_76,negated_conjecture,
( ( epred3_0 @ esk4_0 )
| ~ ( epred3_0 @ ( esk8_1 @ epred3_0 ) ) ),
inference(spm,[status(thm)],[c_0_71,c_0_69]) ).
thf(c_0_77,negated_conjecture,
! [X4: a > $o,X2: a] :
( ( epred1_0 @ ( esk10_1 @ X4 ) @ ( esk11_1 @ X4 ) )
| ( X4 @ esk5_0 )
| ( epred2_0 @ X2 )
| ~ ( X4 @ ( esk9_1 @ X4 ) )
| ~ ( epred1_0 @ esk1_0 @ X2 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_78,negated_conjecture,
! [X4: a > $o] :
( ( epred1_0 @ ( esk10_1 @ X4 ) @ ( esk11_1 @ X4 ) )
| ( X4 @ esk5_0 )
| ~ ( X4 @ ( esk9_1 @ X4 ) )
| ~ ( epred2_0 @ esk2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_79,negated_conjecture,
epred1_0 @ esk4_0 @ ( esk9_1 @ epred3_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_16]) ).
thf(c_0_80,negated_conjecture,
epred3_0 @ esk4_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_74]),c_0_75]),c_0_76]) ).
thf(c_0_81,negated_conjecture,
! [X4: a > $o,X2: a] :
( ( X4 @ ( esk10_1 @ X4 ) )
| ( X4 @ esk5_0 )
| ( epred2_0 @ X2 )
| ~ ( X4 @ ( esk9_1 @ X4 ) )
| ~ ( epred1_0 @ esk1_0 @ X2 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_82,negated_conjecture,
! [X4: a > $o] :
( ( X4 @ ( esk10_1 @ X4 ) )
| ( X4 @ esk5_0 )
| ~ ( X4 @ ( esk9_1 @ X4 ) )
| ~ ( epred2_0 @ esk2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_83,negated_conjecture,
! [X4: a > $o,X2: a] :
( ( X4 @ esk5_0 )
| ( epred2_0 @ X2 )
| ~ ( X4 @ ( esk11_1 @ X4 ) )
| ~ ( X4 @ ( esk9_1 @ X4 ) )
| ~ ( epred1_0 @ esk1_0 @ X2 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_84,negated_conjecture,
! [X4: a > $o] :
( ( X4 @ esk5_0 )
| ~ ( X4 @ ( esk11_1 @ X4 ) )
| ~ ( X4 @ ( esk9_1 @ X4 ) )
| ~ ( epred2_0 @ esk2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_85,negated_conjecture,
! [X4: a > $o] :
( ( epred1_0 @ ( esk10_1 @ X4 ) @ ( esk11_1 @ X4 ) )
| ( X4 @ esk5_0 )
| ~ ( X4 @ ( esk9_1 @ X4 ) ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_36]),c_0_78]) ).
thf(c_0_86,negated_conjecture,
epred3_0 @ ( esk9_1 @ epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_79]),c_0_80])]) ).
thf(c_0_87,negated_conjecture,
! [X4: a > $o] :
( ( X4 @ ( esk10_1 @ X4 ) )
| ( X4 @ esk5_0 )
| ~ ( X4 @ ( esk9_1 @ X4 ) ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_36]),c_0_82]) ).
thf(c_0_88,negated_conjecture,
! [X4: a > $o] :
( ( X4 @ esk5_0 )
| ~ ( X4 @ ( esk9_1 @ X4 ) )
| ~ ( X4 @ ( esk11_1 @ X4 ) ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_36]),c_0_84]) ).
thf(c_0_89,negated_conjecture,
epred1_0 @ ( esk10_1 @ epred3_0 ) @ ( esk11_1 @ epred3_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_16]) ).
thf(c_0_90,negated_conjecture,
epred3_0 @ ( esk10_1 @ epred3_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_86]),c_0_16]) ).
thf(c_0_91,negated_conjecture,
~ ( epred3_0 @ ( esk11_1 @ epred3_0 ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_86]),c_0_16]) ).
thf(c_0_92,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_89]),c_0_90])]),c_0_91]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEV146^5 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.14 % Command : run_E %s %d THM
% 0.14/0.35 % Computer : n004.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sun May 19 19:06:23 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.22/0.50 Running higher-order theorem proving
% 0.22/0.50 Running: /export/starexec/sandbox2/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.56 # Version: 3.1.0-ho
% 0.22/0.56 # Preprocessing class: HSMSSMSSSSSNSSA.
% 0.22/0.56 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.56 # Starting post_as_ho1 with 1500s (5) cores
% 0.22/0.56 # Starting post_as_ho12 with 300s (1) cores
% 0.22/0.56 # Starting new_ho_3 with 300s (1) cores
% 0.22/0.56 # Starting ehoh_best2_full_lfho with 300s (1) cores
% 0.22/0.56 # post_as_ho1 with pid 8143 completed with status 0
% 0.22/0.56 # Result found by post_as_ho1
% 0.22/0.56 # Preprocessing class: HSMSSMSSSSSNSSA.
% 0.22/0.56 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.56 # Starting post_as_ho1 with 1500s (5) cores
% 0.22/0.56 # No SInE strategy applied
% 0.22/0.56 # Search class: HGHNF-FFMF11-SSSFFMBN
% 0.22/0.56 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.22/0.56 # Starting sh5l with 300s (1) cores
% 0.22/0.56 # Starting post_as_ho1 with 151s (1) cores
% 0.22/0.56 # Starting new_bool_9 with 300s (1) cores
% 0.22/0.56 # Starting ehoh_best_sine_rwall with 300s (1) cores
% 0.22/0.56 # Starting new_ho_10 with 150s (1) cores
% 0.22/0.56 # ehoh_best_sine_rwall with pid 8154 completed with status 0
% 0.22/0.56 # Result found by ehoh_best_sine_rwall
% 0.22/0.56 # Preprocessing class: HSMSSMSSSSSNSSA.
% 0.22/0.56 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.56 # Starting post_as_ho1 with 1500s (5) cores
% 0.22/0.56 # No SInE strategy applied
% 0.22/0.56 # Search class: HGHNF-FFMF11-SSSFFMBN
% 0.22/0.56 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.22/0.56 # Starting sh5l with 300s (1) cores
% 0.22/0.56 # Starting post_as_ho1 with 151s (1) cores
% 0.22/0.56 # Starting new_bool_9 with 300s (1) cores
% 0.22/0.56 # Starting ehoh_best_sine_rwall with 300s (1) cores
% 0.22/0.56 # Preprocessing time : 0.002 s
% 0.22/0.56 # Presaturation interreduction done
% 0.22/0.56
% 0.22/0.56 # Proof found!
% 0.22/0.56 # SZS status Theorem
% 0.22/0.56 # SZS output start CNFRefutation
% See solution above
% 0.22/0.56 # Parsed axioms : 2
% 0.22/0.56 # Removed by relevancy pruning/SinE : 0
% 0.22/0.56 # Initial clauses : 61
% 0.22/0.56 # Removed in clause preprocessing : 1
% 0.22/0.56 # Initial clauses in saturation : 60
% 0.22/0.56 # Processed clauses : 324
% 0.22/0.56 # ...of these trivial : 8
% 0.22/0.56 # ...subsumed : 49
% 0.22/0.56 # ...remaining for further processing : 267
% 0.22/0.56 # Other redundant clauses eliminated : 0
% 0.22/0.56 # Clauses deleted for lack of memory : 0
% 0.22/0.56 # Backward-subsumed : 100
% 0.22/0.56 # Backward-rewritten : 50
% 0.22/0.56 # Generated clauses : 726
% 0.22/0.56 # ...of the previous two non-redundant : 628
% 0.22/0.56 # ...aggressively subsumed : 0
% 0.22/0.56 # Contextual simplify-reflections : 46
% 0.22/0.56 # Paramodulations : 564
% 0.22/0.56 # Factorizations : 0
% 0.22/0.56 # NegExts : 0
% 0.22/0.56 # Equation resolutions : 0
% 0.22/0.56 # Disequality decompositions : 0
% 0.22/0.56 # Total rewrite steps : 68
% 0.22/0.56 # ...of those cached : 60
% 0.22/0.56 # Propositional unsat checks : 0
% 0.22/0.56 # Propositional check models : 0
% 0.22/0.56 # Propositional check unsatisfiable : 0
% 0.22/0.56 # Propositional clauses : 0
% 0.22/0.56 # Propositional clauses after purity: 0
% 0.22/0.56 # Propositional unsat core size : 0
% 0.22/0.56 # Propositional preprocessing time : 0.000
% 0.22/0.56 # Propositional encoding time : 0.000
% 0.22/0.56 # Propositional solver time : 0.000
% 0.22/0.56 # Success case prop preproc time : 0.000
% 0.22/0.56 # Success case prop encoding time : 0.000
% 0.22/0.56 # Success case prop solver time : 0.000
% 0.22/0.56 # Current number of processed clauses : 55
% 0.22/0.56 # Positive orientable unit clauses : 10
% 0.22/0.56 # Positive unorientable unit clauses: 0
% 0.22/0.56 # Negative unit clauses : 2
% 0.22/0.56 # Non-unit-clauses : 43
% 0.22/0.56 # Current number of unprocessed clauses: 324
% 0.22/0.56 # ...number of literals in the above : 1800
% 0.22/0.56 # Current number of archived formulas : 0
% 0.22/0.56 # Current number of archived clauses : 212
% 0.22/0.56 # Clause-clause subsumption calls (NU) : 2036
% 0.22/0.56 # Rec. Clause-clause subsumption calls : 718
% 0.22/0.56 # Non-unit clause-clause subsumptions : 181
% 0.22/0.56 # Unit Clause-clause subsumption calls : 194
% 0.22/0.56 # Rewrite failures with RHS unbound : 0
% 0.22/0.56 # BW rewrite match attempts : 9
% 0.22/0.56 # BW rewrite match successes : 7
% 0.22/0.56 # Condensation attempts : 0
% 0.22/0.56 # Condensation successes : 0
% 0.22/0.56 # Termbank termtop insertions : 36741
% 0.22/0.56 # Search garbage collected termcells : 667
% 0.22/0.56
% 0.22/0.56 # -------------------------------------------------
% 0.22/0.56 # User time : 0.040 s
% 0.22/0.56 # System time : 0.004 s
% 0.22/0.56 # Total time : 0.044 s
% 0.22/0.56 # Maximum resident set size: 1952 pages
% 0.22/0.56
% 0.22/0.56 # -------------------------------------------------
% 0.22/0.56 # User time : 0.161 s
% 0.22/0.56 # System time : 0.013 s
% 0.22/0.56 # Total time : 0.174 s
% 0.22/0.56 # Maximum resident set size: 1720 pages
% 0.22/0.56 % E---3.1 exiting
% 0.22/0.56 % E exiting
%------------------------------------------------------------------------------