%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SEV146^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:35:06 AM UTC 2026
% Result : Theorem 0.27s 0.42s
% Output : CNFRefutation 0.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 1
% Syntax : Number of formulae : 107 ( 19 unt; 0 typ; 0 def)
% Number of atoms : 436 ( 0 equ; 0 cnn)
% Maximal formula atoms : 169 ( 4 avg)
% Number of connectives : 2012 ( 253 ~; 462 |; 79 &;1190 @)
% ( 0 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 74 ( 7 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 74 ( 74 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 14 usr; 6 con; 0-2 aty)
% Number of variables : 139 ( 0 ^; 139 !; 0 ?; 139 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
a: $tType ).
thf(decl_23,type,
epred1_0: a > a > $o ).
thf(decl_24,type,
esk1_0: a ).
thf(decl_25,type,
esk2_0: a ).
thf(decl_26,type,
epred2_0: a > $o ).
thf(decl_27,type,
esk3_0: a ).
thf(decl_28,type,
esk4_0: a ).
thf(decl_29,type,
esk5_0: a ).
thf(decl_30,type,
esk6_1: ( a > $o ) > a ).
thf(decl_31,type,
esk7_1: ( a > $o ) > a ).
thf(decl_32,type,
esk8_1: ( a > $o ) > a ).
thf(decl_33,type,
esk9_1: ( a > $o ) > a ).
thf(decl_34,type,
esk10_1: ( a > $o ) > a ).
thf(decl_35,type,
esk11_1: ( a > $o ) > a ).
thf(decl_36,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/tmp/tmp.UPUvwvrKnM/E---3.1_2980575.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 ) )
| ( X4 @ esk4_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 )
| ~ ( X4 @ ( esk8_1 @ X4 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_6,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_7,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_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,
! [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_13,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_14,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_15,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_16,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_17,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_18,negated_conjecture,
! [X4: a > $o] :
( ( epred1_0 @ esk1_0 @ esk2_0 )
| ( epred3_0 @ ( esk8_1 @ X4 ) )
| ( X4 @ esk4_0 )
| ~ ( epred3_0 @ ( esk7_1 @ X4 ) )
| ~ ( X4 @ ( esk6_1 @ X4 ) ) ),
inference(spm,[status(thm)],[c_0_3,c_0_12]) ).
thf(c_0_19,negated_conjecture,
( ( epred3_0 @ ( esk6_1 @ epred3_0 ) )
| ( epred1_0 @ esk1_0 @ esk2_0 )
| ( epred3_0 @ esk4_0 ) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
thf(c_0_20,negated_conjecture,
( ( epred1_0 @ esk4_0 @ ( esk9_1 @ epred3_0 ) )
| ( epred1_0 @ esk1_0 @ esk2_0 )
| ~ ( epred3_0 @ ( esk10_1 @ epred3_0 ) ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17]) ).
thf(c_0_21,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_22,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_23,negated_conjecture,
( ( epred3_0 @ ( esk8_1 @ epred3_0 ) )
| ( epred1_0 @ esk1_0 @ esk2_0 )
| ( epred3_0 @ esk4_0 )
| ~ ( epred3_0 @ ( esk7_1 @ epred3_0 ) ) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
thf(c_0_24,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_25,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_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_20,c_0_21]),c_0_17]) ).
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_22,c_0_23]),c_0_24]),c_0_19]) ).
thf(c_0_28,negated_conjecture,
! [X4: a > $o] :
( ( epred1_0 @ esk1_0 @ esk2_0 )
| ( epred3_0 @ ( esk11_1 @ X4 ) )
| ( X4 @ esk5_0 )
| ~ ( epred3_0 @ ( esk10_1 @ X4 ) )
| ~ ( X4 @ ( esk9_1 @ X4 ) ) ),
inference(spm,[status(thm)],[c_0_3,c_0_25]) ).
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,
! [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_31,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_32,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_33,negated_conjecture,
( ( epred3_0 @ ( esk11_1 @ epred3_0 ) )
| ( epred1_0 @ esk1_0 @ esk2_0 )
| ~ ( epred3_0 @ ( esk10_1 @ epred3_0 ) ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_17]) ).
thf(c_0_34,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_35,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 ) )
| ~ ( epred2_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
thf(c_0_36,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_37,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_38,negated_conjecture,
( ( epred1_0 @ esk1_0 @ esk2_0 )
| ~ ( epred3_0 @ ( esk10_1 @ epred3_0 ) ) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_17]),c_0_29]) ).
thf(c_0_39,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_40,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_41,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_42,negated_conjecture,
( ( epred1_0 @ esk3_0 @ ( esk6_1 @ epred3_0 ) )
| ( epred3_0 @ esk4_0 )
| ~ ( epred2_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36]) ).
thf(c_0_43,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_44,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 ) )
| ~ ( epred2_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_30,c_0_37]) ).
thf(c_0_45,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_46,negated_conjecture,
epred1_0 @ esk1_0 @ esk2_0,
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_17]),c_0_29]) ).
thf(c_0_47,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_48,negated_conjecture,
! [X4: a > $o] :
( ( epred3_0 @ ( esk8_1 @ X4 ) )
| ( X4 @ esk4_0 )
| ~ ( epred3_0 @ ( esk7_1 @ X4 ) )
| ~ ( epred2_0 @ esk2_0 )
| ~ ( X4 @ ( esk6_1 @ X4 ) ) ),
inference(spm,[status(thm)],[c_0_30,c_0_40]) ).
thf(c_0_49,negated_conjecture,
( ( epred3_0 @ ( esk6_1 @ epred3_0 ) )
| ( epred3_0 @ esk4_0 )
| ~ ( epred2_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
thf(c_0_50,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_51,negated_conjecture,
( ( epred1_0 @ esk4_0 @ ( esk9_1 @ epred3_0 ) )
| ~ ( epred3_0 @ ( esk10_1 @ epred3_0 ) )
| ~ ( epred2_0 @ esk2_0 ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_17]) ).
thf(c_0_52,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_45,c_0_46]),c_0_47]) ).
thf(c_0_53,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_54,negated_conjecture,
( ( epred3_0 @ ( esk8_1 @ epred3_0 ) )
| ( epred3_0 @ esk4_0 )
| ~ ( epred3_0 @ ( esk7_1 @ epred3_0 ) )
| ~ ( epred2_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
thf(c_0_55,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_56,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_57,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_50,c_0_46]),c_0_30]) ).
thf(c_0_58,negated_conjecture,
( ( epred1_0 @ esk4_0 @ ( esk9_1 @ epred3_0 ) )
| ~ ( epred2_0 @ esk2_0 ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_17]) ).
thf(c_0_59,negated_conjecture,
( ( epred3_0 @ esk4_0 )
| ~ ( epred2_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_55]),c_0_49]) ).
thf(c_0_60,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_61,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_62,negated_conjecture,
! [X4: a > $o] :
( ( epred3_0 @ ( esk11_1 @ X4 ) )
| ( X4 @ esk5_0 )
| ~ ( epred3_0 @ ( esk10_1 @ X4 ) )
| ~ ( epred2_0 @ esk2_0 )
| ~ ( X4 @ ( esk9_1 @ X4 ) ) ),
inference(spm,[status(thm)],[c_0_30,c_0_56]) ).
thf(c_0_63,negated_conjecture,
( ( epred3_0 @ ( esk9_1 @ epred3_0 ) )
| ~ ( epred2_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_59]) ).
thf(c_0_64,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_60,c_0_46]),c_0_61]) ).
thf(c_0_65,negated_conjecture,
( ( epred3_0 @ ( esk11_1 @ epred3_0 ) )
| ~ ( epred3_0 @ ( esk10_1 @ epred3_0 ) )
| ~ ( epred2_0 @ esk2_0 ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_17]) ).
thf(c_0_66,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_67,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_68,negated_conjecture,
( ~ ( epred3_0 @ ( esk10_1 @ epred3_0 ) )
| ~ ( epred2_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_17]),c_0_63]) ).
thf(c_0_69,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_66,c_0_46]),c_0_67]) ).
thf(c_0_70,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_71,negated_conjecture,
~ ( epred2_0 @ esk2_0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_17]),c_0_63]) ).
thf(c_0_72,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_73,negated_conjecture,
! [X4: a > $o] :
( ( epred1_0 @ ( esk10_1 @ X4 ) @ ( esk11_1 @ X4 ) )
| ( epred1_0 @ esk4_0 @ ( esk9_1 @ X4 ) )
| ( X4 @ esk5_0 ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_46]),c_0_71]) ).
thf(c_0_74,negated_conjecture,
! [X4: a > $o] :
( ( epred1_0 @ esk4_0 @ ( esk9_1 @ X4 ) )
| ( X4 @ esk5_0 )
| ~ ( X4 @ ( esk11_1 @ X4 ) ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_46]),c_0_71]) ).
thf(c_0_75,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_57,c_0_73]) ).
thf(c_0_76,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_77,negated_conjecture,
( ( epred1_0 @ esk4_0 @ ( esk9_1 @ epred3_0 ) )
| ~ ( epred3_0 @ ( esk10_1 @ epred3_0 ) ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_17]) ).
thf(c_0_78,negated_conjecture,
! [X4: a > $o] :
( ( epred1_0 @ ( esk10_1 @ X4 ) @ ( esk11_1 @ X4 ) )
| ( X4 @ esk5_0 )
| ~ ( X4 @ ( esk9_1 @ X4 ) ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_46]),c_0_71]) ).
thf(c_0_79,negated_conjecture,
epred1_0 @ esk4_0 @ ( esk9_1 @ epred3_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_52]),c_0_17]) ).
thf(c_0_80,negated_conjecture,
! [X4: a > $o] :
( ( epred3_0 @ ( esk11_1 @ X4 ) )
| ( X4 @ esk5_0 )
| ~ ( epred3_0 @ ( esk10_1 @ X4 ) )
| ~ ( X4 @ ( esk9_1 @ X4 ) ) ),
inference(spm,[status(thm)],[c_0_57,c_0_78]) ).
thf(c_0_81,negated_conjecture,
( ( epred3_0 @ ( esk9_1 @ epred3_0 ) )
| ~ ( epred3_0 @ esk4_0 ) ),
inference(spm,[status(thm)],[c_0_57,c_0_79]) ).
thf(c_0_82,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_83,negated_conjecture,
( ( epred3_0 @ ( esk11_1 @ epred3_0 ) )
| ~ ( epred3_0 @ ( esk10_1 @ epred3_0 ) )
| ~ ( epred3_0 @ esk4_0 ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_17]) ).
thf(c_0_84,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_85,negated_conjecture,
! [X4: a > $o] :
( ( epred1_0 @ ( esk7_1 @ X4 ) @ ( esk8_1 @ X4 ) )
| ( epred1_0 @ esk3_0 @ ( esk6_1 @ X4 ) )
| ( X4 @ esk4_0 ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_46]),c_0_71]) ).
thf(c_0_86,negated_conjecture,
( ~ ( epred3_0 @ ( esk10_1 @ epred3_0 ) )
| ~ ( epred3_0 @ esk4_0 ) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_83]),c_0_17]),c_0_81]) ).
thf(c_0_87,negated_conjecture,
! [X4: a > $o] :
( ( epred1_0 @ esk3_0 @ ( esk6_1 @ X4 ) )
| ( X4 @ esk4_0 )
| ~ ( X4 @ ( esk8_1 @ X4 ) ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_46]),c_0_71]) ).
thf(c_0_88,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_57,c_0_85]) ).
thf(c_0_89,negated_conjecture,
~ ( epred3_0 @ esk4_0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_69]),c_0_17]),c_0_81]) ).
thf(c_0_90,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_91,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_92,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_93,negated_conjecture,
( ( epred1_0 @ esk3_0 @ ( esk6_1 @ epred3_0 ) )
| ~ ( epred3_0 @ ( esk7_1 @ epred3_0 ) ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_89]) ).
thf(c_0_94,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_90,c_0_46]),c_0_36]) ).
thf(c_0_95,negated_conjecture,
! [X4: a > $o] :
( ( epred1_0 @ ( esk7_1 @ X4 ) @ ( esk8_1 @ X4 ) )
| ( X4 @ esk4_0 )
| ~ ( X4 @ ( esk6_1 @ X4 ) ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_46]),c_0_71]) ).
thf(c_0_96,negated_conjecture,
! [X2: a] :
( ( epred3_0 @ X2 )
| ~ ( epred1_0 @ esk3_0 @ X2 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_46]),c_0_41]) ).
thf(c_0_97,negated_conjecture,
epred1_0 @ esk3_0 @ ( esk6_1 @ epred3_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_94]),c_0_89]) ).
thf(c_0_98,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_99,negated_conjecture,
! [X4: a > $o] :
( ( epred3_0 @ ( esk8_1 @ X4 ) )
| ( X4 @ esk4_0 )
| ~ ( epred3_0 @ ( esk7_1 @ X4 ) )
| ~ ( X4 @ ( esk6_1 @ X4 ) ) ),
inference(spm,[status(thm)],[c_0_57,c_0_95]) ).
thf(c_0_100,negated_conjecture,
epred3_0 @ ( esk6_1 @ epred3_0 ),
inference(spm,[status(thm)],[c_0_96,c_0_97]) ).
thf(c_0_101,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_98,c_0_46]),c_0_53]) ).
thf(c_0_102,negated_conjecture,
( ( epred3_0 @ ( esk8_1 @ epred3_0 ) )
| ~ ( epred3_0 @ ( esk7_1 @ epred3_0 ) ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_100]),c_0_89]) ).
thf(c_0_103,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_104,negated_conjecture,
~ ( epred3_0 @ ( esk7_1 @ epred3_0 ) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_100])]),c_0_89]) ).
thf(c_0_105,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_103,c_0_46]),c_0_55]) ).
thf(c_0_106,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_105]),c_0_100])]),c_0_89]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SEV146^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.26 % Computer : n010.cluster.edu
% 0.13/0.26 % Model : x86_64 x86_64
% 0.13/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.26 % Memory : 8046.5625MB
% 0.13/0.26 % OS : Linux 6.8.0-71-generic
% 0.13/0.26 % CPULimit : 300
% 0.13/0.26 % WCLimit : 300
% 0.13/0.26 % DateTime : Tue Sep 29 15:16:48 UTC 2026
% 0.13/0.27 % CPUTime :
% 0.13/0.27 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.27/0.33 Running higher-order theorem proving
% 0.27/0.35 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/tmp/tmp.UPUvwvrKnM/E---3.1_2980575.p
% 0.27/0.42 % Version: 3.5.1-ho
% 0.27/0.42 % Preprocessing class: HSMSSMSSSSSNSSA.
% 0.27/0.42 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.27/0.42 % Starting post_as_ho1 with 1500s (5) cores
% 0.27/0.42 % Starting post_as_ho12 with 300s (1) cores
% 0.27/0.42 % Starting new_ho_3 with 300s (1) cores
% 0.27/0.42 % Starting ehoh_best2_full_lfho with 300s (1) cores
% 0.27/0.42 % new_ho_3 with pid 2980590 completed with status 0
% 0.27/0.42 % Result found by new_ho_3
% 0.27/0.42 % Preprocessing class: HSMSSMSSSSSNSSA.
% 0.27/0.42 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.27/0.42 % Starting post_as_ho1 with 1500s (5) cores
% 0.27/0.42 % Starting post_as_ho12 with 300s (1) cores
% 0.27/0.42 % Starting new_ho_3 with 300s (1) cores
% 0.27/0.42 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = GSinE(CountFormulas,hypos,5,,4,20000,1.0,true))
% 0.27/0.42 % SinE strategy is GSinE(CountFormulas,hypos,5,,4,20000,1.0,true)
% 0.27/0.42 % Search class: HGHNF-FFMF11-SSSFFMBN
% 0.27/0.42 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.27/0.42 % Starting SubtermCWHack with 28s (1) cores
% 0.27/0.42 % SubtermCWHack with pid 2980595 completed with status 0
% 0.27/0.42 % Result found by SubtermCWHack
% 0.27/0.42 % Preprocessing class: HSMSSMSSSSSNSSA.
% 0.27/0.42 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.27/0.42 % Starting post_as_ho1 with 1500s (5) cores
% 0.27/0.42 % Starting post_as_ho12 with 300s (1) cores
% 0.27/0.42 % Starting new_ho_3 with 300s (1) cores
% 0.27/0.42 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = GSinE(CountFormulas,hypos,5,,4,20000,1.0,true))
% 0.27/0.42 % SinE strategy is GSinE(CountFormulas,hypos,5,,4,20000,1.0,true)
% 0.27/0.42 % Search class: HGHNF-FFMF11-SSSFFMBN
% 0.27/0.42 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.27/0.42 % Starting SubtermCWHack with 28s (1) cores
% 0.27/0.42 % Preprocessing time : 0.001 s
% 0.27/0.42
% 0.27/0.42 % Proof found!
% 0.27/0.42 % SZS status Theorem
% 0.27/0.42 % SZS output start CNFRefutation
% See solution above
% 0.27/0.42 % Parsed axioms : 2
% 0.27/0.42 % Removed by relevancy pruning/SinE : 1
% 0.27/0.42 % Initial clauses : 60
% 0.27/0.42 % Removed in clause preprocessing : 0
% 0.27/0.42 % Initial clauses in saturation : 60
% 0.27/0.42 % Processed clauses : 212
% 0.27/0.42 % ...of these trivial : 2
% 0.27/0.42 % ...subsumed : 45
% 0.27/0.42 % ...remaining for further processing : 165
% 0.27/0.42 % Other redundant clauses eliminated : 0
% 0.27/0.42 % Clauses deleted for lack of memory : 0
% 0.27/0.42 % Backward-subsumed : 105
% 0.27/0.42 % Backward-rewritten : 28
% 0.27/0.42 % Generated clauses : 1016
% 0.27/0.42 % ...of the previous two non-redundant : 973
% 0.27/0.42 % ...aggressively subsumed : 0
% 0.27/0.42 % Contextual simplify-reflections : 41
% 0.27/0.42 % Paramodulations : 1016
% 0.27/0.42 % Factorizations : 0
% 0.27/0.42 % NegExts : 0
% 0.27/0.42 % Equation resolutions : 0
% 0.27/0.42 % Disequality decompositions : 0
% 0.27/0.42 % Total rewrite steps : 37
% 0.27/0.42 % ...of those cached : 33
% 0.27/0.42 % Propositional unsat checks : 0
% 0.27/0.42 % Propositional check models : 0
% 0.27/0.42 % Propositional check unsatisfiable : 0
% 0.27/0.42 % Propositional clauses : 0
% 0.27/0.42 % Propositional clauses after purity: 0
% 0.27/0.42 % Propositional unsat core size : 0
% 0.27/0.42 % Propositional preprocessing time : 0.000
% 0.27/0.42 % Propositional encoding time : 0.000
% 0.27/0.42 % Propositional solver time : 0.000
% 0.27/0.42 % Success case prop preproc time : 0.000
% 0.27/0.42 % Success case prop encoding time : 0.000
% 0.27/0.42 % Success case prop solver time : 0.000
% 0.27/0.42 % Current number of processed clauses : 32
% 0.27/0.42 % Positive orientable unit clauses : 4
% 0.27/0.42 % Positive unorientable unit clauses: 0
% 0.27/0.42 % Negative unit clauses : 4
% 0.27/0.42 % Non-unit-clauses : 24
% 0.27/0.42 % Current number of unprocessed clauses: 95
% 0.27/0.42 % ...number of literals in the above : 598
% 0.27/0.42 % Current number of archived formulas : 0
% 0.27/0.42 % Current number of archived clauses : 133
% 0.27/0.42 % Clause-clause subsumption calls (NU) : 1325
% 0.27/0.42 % Rec. Clause-clause subsumption calls : 531
% 0.27/0.42 % Non-unit clause-clause subsumptions : 165
% 0.27/0.42 % Unit Clause-clause subsumption calls : 106
% 0.27/0.42 % Rewrite failures with RHS unbound : 0
% 0.27/0.42 % BW rewrite match attempts : 3
% 0.27/0.42 % BW rewrite match successes : 3
% 0.27/0.42 % Condensation attempts : 0
% 0.27/0.42 % Condensation successes : 0
% 0.27/0.42 % Termbank termtop insertions : 26286
% 0.27/0.42 % Search garbage collected termcells : 667
% 0.27/0.42
% 0.27/0.42 % -------------------------------------------------
% 0.27/0.42 % User time : 0.035 s
% 0.27/0.42 % System time : 0.006 s
% 0.27/0.42 % Total time : 0.041 s
% 0.27/0.42 % Maximum resident set size: 3636 pages
% 0.27/0.42
% 0.27/0.42 % -------------------------------------------------
% 0.27/0.42 % User time : 0.036 s
% 0.27/0.42 % System time : 0.013 s
% 0.27/0.42 % Total time : 0.049 s
% 0.27/0.42 % Maximum resident set size: 4864 pages
% 0.27/0.42 % E exiting
%------------------------------------------------------------------------------