%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SEV095^5 : 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 08:34:51 AM UTC 2026
% Result : Theorem 2.54s 0.59s
% Output : CNFRefutation 2.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 1
% Syntax : Number of formulae : 33 ( 5 unt; 0 typ; 0 def)
% Number of atoms : 333 ( 22 equ; 0 cnn)
% Maximal formula atoms : 168 ( 10 avg)
% Number of connectives : 1447 ( 65 ~; 129 |; 29 &;1215 @)
% ( 3 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 38 ( 10 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 414 ( 414 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 9 usr; 1 con; 0-3 aty)
% Number of variables : 457 ( 378 ^; 75 !; 4 ?; 457 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_23,type,
epred1_2: ( ( $i > $o ) > ( $i > $o ) > $i > $o ) > ( ( $i > $o ) > ( $i > $o ) > $i > $o ) > $i > $o ).
thf(decl_24,type,
epred2_2: ( ( $i > $o ) > ( $i > $o ) > $i > $o ) > ( ( $i > $o ) > ( $i > $o ) > $i > $o ) > $i > $o ).
thf(decl_25,type,
esk1_2: ( ( $i > $o ) > ( $i > $o ) > $i > $o ) > ( ( $i > $o ) > ( $i > $o ) > $i > $o ) > $i ).
thf(decl_26,type,
epred3_2: ( ( $i > $o ) > ( $i > $o ) > $i > $o ) > ( ( $i > $o ) > ( $i > $o ) > $i > $o ) > $i > $o ).
thf(decl_27,type,
esk2_2: ( ( $i > $o ) > ( $i > $o ) > $i > $o ) > ( ( $i > $o ) > ( $i > $o ) > $i > $o ) > $i ).
thf(decl_28,type,
epred4_2: ( ( $i > $o ) > ( $i > $o ) > $i > $o ) > ( ( $i > $o ) > ( $i > $o ) > $i > $o ) > $i > $o ).
thf(decl_29,type,
epred5_2: ( ( $i > $o ) > ( $i > $o ) > $i > $o ) > ( ( $i > $o ) > ( $i > $o ) > $i > $o ) > $i > $o ).
thf(decl_30,type,
epred6_2: ( ( $i > $o ) > ( $i > $o ) > $i > $o ) > ( ( $i > $o ) > ( $i > $o ) > $i > $o ) > $i > $o ).
thf(decl_31,type,
esk3_2: ( ( $i > $o ) > ( $i > $o ) > $i > $o ) > ( ( $i > $o ) > ( $i > $o ) > $i > $o ) > $i ).
thf(cTHM122C_pme,conjecture,
? [X1: ( $i > $o ) > ( $i > $o ) > $i > $o,X2: ( $i > $o ) > ( $i > $o ) > $i > $o] :
( ! [X3: $i > $o,X4: $i > $o] :
( ! [X5: $i] :
( ( X2 @ X3 @ X4 @ X5 )
| ( X1 @ X3 @ X4 @ X5 ) )
=> ! [X6: $i] :
( ( X3 @ X6 )
=> ( X4 @ X6 ) ) )
& ! [X7: $i > $o,X5: $i] :
( ( X2 @ X7 @ X7 @ X5 )
| ( X1 @ X7 @ X7 @ X5 ) )
& ! [X7: $i > $o,X8: $i > $o,X9: $i > $o] :
( ( ! [X5: $i] :
( ( X2 @ X7 @ X8 @ X5 )
| ( X1 @ X7 @ X8 @ X5 ) )
& ! [X5: $i] :
( ( X2 @ X8 @ X9 @ X5 )
| ( X1 @ X8 @ X9 @ X5 ) ) )
=> ! [X5: $i] :
( ( X2 @ X7 @ X9 @ X5 )
| ( X1 @ X7 @ X9 @ X5 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Ww4wGZc0QB/E---3.1_2976475.p',cTHM122C_pme) ).
thf(c_0_1,negated_conjecture,
~ ? [X1: ( $i > $o ) > ( $i > $o ) > $i > $o,X2: ( $i > $o ) > ( $i > $o ) > $i > $o] :
( ! [X3: $i > $o,X4: $i > $o] :
( ! [X5: $i] :
( ( X2 @ X3 @ X4 @ X5 )
| ( X1 @ X3 @ X4 @ X5 ) )
=> ! [X6: $i] :
( ( X3 @ X6 )
=> ( X4 @ X6 ) ) )
& ! [X7: $i > $o,X5: $i] :
( ( X2 @ X7 @ X7 @ X5 )
| ( X1 @ X7 @ X7 @ X5 ) )
& ! [X7: $i > $o,X8: $i > $o,X9: $i > $o] :
( ( ! [X5: $i] :
( ( X2 @ X7 @ X8 @ X5 )
| ( X1 @ X7 @ X8 @ X5 ) )
& ! [X5: $i] :
( ( X2 @ X8 @ X9 @ X5 )
| ( X1 @ X8 @ X9 @ X5 ) ) )
=> ! [X5: $i] :
( ( X2 @ X7 @ X9 @ X5 )
| ( X1 @ X7 @ X9 @ X5 ) ) ) ),
inference(assume_negation,[status(cth)],[cTHM122C_pme]) ).
thf(c_0_2,negated_conjecture,
! [X24: ( $i > $o ) > ( $i > $o ) > $i > $o,X25: ( $i > $o ) > ( $i > $o ) > $i > $o,X28: $i,X35: $i,X36: $i] :
( ( ( X25 @ ( epred4_2 @ X24 @ X25 ) @ ( epred5_2 @ X24 @ X25 ) @ X35 )
| ( X24 @ ( epred4_2 @ X24 @ X25 ) @ ( epred5_2 @ X24 @ X25 ) @ X35 )
| ~ ( X25 @ ( epred3_2 @ X24 @ X25 ) @ ( epred3_2 @ X24 @ X25 ) @ ( esk2_2 @ X24 @ X25 ) )
| ( X25 @ ( epred1_2 @ X24 @ X25 ) @ ( epred2_2 @ X24 @ X25 ) @ X28 )
| ( X24 @ ( epred1_2 @ X24 @ X25 ) @ ( epred2_2 @ X24 @ X25 ) @ X28 ) )
& ( ( X25 @ ( epred5_2 @ X24 @ X25 ) @ ( epred6_2 @ X24 @ X25 ) @ X36 )
| ( X24 @ ( epred5_2 @ X24 @ X25 ) @ ( epred6_2 @ X24 @ X25 ) @ X36 )
| ~ ( X25 @ ( epred3_2 @ X24 @ X25 ) @ ( epred3_2 @ X24 @ X25 ) @ ( esk2_2 @ X24 @ X25 ) )
| ( X25 @ ( epred1_2 @ X24 @ X25 ) @ ( epred2_2 @ X24 @ X25 ) @ X28 )
| ( X24 @ ( epred1_2 @ X24 @ X25 ) @ ( epred2_2 @ X24 @ X25 ) @ X28 ) )
& ( ~ ( X25 @ ( epred4_2 @ X24 @ X25 ) @ ( epred6_2 @ X24 @ X25 ) @ ( esk3_2 @ X24 @ X25 ) )
| ~ ( X25 @ ( epred3_2 @ X24 @ X25 ) @ ( epred3_2 @ X24 @ X25 ) @ ( esk2_2 @ X24 @ X25 ) )
| ( X25 @ ( epred1_2 @ X24 @ X25 ) @ ( epred2_2 @ X24 @ X25 ) @ X28 )
| ( X24 @ ( epred1_2 @ X24 @ X25 ) @ ( epred2_2 @ X24 @ X25 ) @ X28 ) )
& ( ~ ( X24 @ ( epred4_2 @ X24 @ X25 ) @ ( epred6_2 @ X24 @ X25 ) @ ( esk3_2 @ X24 @ X25 ) )
| ~ ( X25 @ ( epred3_2 @ X24 @ X25 ) @ ( epred3_2 @ X24 @ X25 ) @ ( esk2_2 @ X24 @ X25 ) )
| ( X25 @ ( epred1_2 @ X24 @ X25 ) @ ( epred2_2 @ X24 @ X25 ) @ X28 )
| ( X24 @ ( epred1_2 @ X24 @ X25 ) @ ( epred2_2 @ X24 @ X25 ) @ X28 ) )
& ( ( X25 @ ( epred4_2 @ X24 @ X25 ) @ ( epred5_2 @ X24 @ X25 ) @ X35 )
| ( X24 @ ( epred4_2 @ X24 @ X25 ) @ ( epred5_2 @ X24 @ X25 ) @ X35 )
| ~ ( X24 @ ( epred3_2 @ X24 @ X25 ) @ ( epred3_2 @ X24 @ X25 ) @ ( esk2_2 @ X24 @ X25 ) )
| ( X25 @ ( epred1_2 @ X24 @ X25 ) @ ( epred2_2 @ X24 @ X25 ) @ X28 )
| ( X24 @ ( epred1_2 @ X24 @ X25 ) @ ( epred2_2 @ X24 @ X25 ) @ X28 ) )
& ( ( X25 @ ( epred5_2 @ X24 @ X25 ) @ ( epred6_2 @ X24 @ X25 ) @ X36 )
| ( X24 @ ( epred5_2 @ X24 @ X25 ) @ ( epred6_2 @ X24 @ X25 ) @ X36 )
| ~ ( X24 @ ( epred3_2 @ X24 @ X25 ) @ ( epred3_2 @ X24 @ X25 ) @ ( esk2_2 @ X24 @ X25 ) )
| ( X25 @ ( epred1_2 @ X24 @ X25 ) @ ( epred2_2 @ X24 @ X25 ) @ X28 )
| ( X24 @ ( epred1_2 @ X24 @ X25 ) @ ( epred2_2 @ X24 @ X25 ) @ X28 ) )
& ( ~ ( X25 @ ( epred4_2 @ X24 @ X25 ) @ ( epred6_2 @ X24 @ X25 ) @ ( esk3_2 @ X24 @ X25 ) )
| ~ ( X24 @ ( epred3_2 @ X24 @ X25 ) @ ( epred3_2 @ X24 @ X25 ) @ ( esk2_2 @ X24 @ X25 ) )
| ( X25 @ ( epred1_2 @ X24 @ X25 ) @ ( epred2_2 @ X24 @ X25 ) @ X28 )
| ( X24 @ ( epred1_2 @ X24 @ X25 ) @ ( epred2_2 @ X24 @ X25 ) @ X28 ) )
& ( ~ ( X24 @ ( epred4_2 @ X24 @ X25 ) @ ( epred6_2 @ X24 @ X25 ) @ ( esk3_2 @ X24 @ X25 ) )
| ~ ( X24 @ ( epred3_2 @ X24 @ X25 ) @ ( epred3_2 @ X24 @ X25 ) @ ( esk2_2 @ X24 @ X25 ) )
| ( X25 @ ( epred1_2 @ X24 @ X25 ) @ ( epred2_2 @ X24 @ X25 ) @ X28 )
| ( X24 @ ( epred1_2 @ X24 @ X25 ) @ ( epred2_2 @ X24 @ X25 ) @ X28 ) )
& ( ( X25 @ ( epred4_2 @ X24 @ X25 ) @ ( epred5_2 @ X24 @ X25 ) @ X35 )
| ( X24 @ ( epred4_2 @ X24 @ X25 ) @ ( epred5_2 @ X24 @ X25 ) @ X35 )
| ~ ( X25 @ ( epred3_2 @ X24 @ X25 ) @ ( epred3_2 @ X24 @ X25 ) @ ( esk2_2 @ X24 @ X25 ) )
| ( epred1_2 @ X24 @ X25 @ ( esk1_2 @ X24 @ X25 ) ) )
& ( ( X25 @ ( epred5_2 @ X24 @ X25 ) @ ( epred6_2 @ X24 @ X25 ) @ X36 )
| ( X24 @ ( epred5_2 @ X24 @ X25 ) @ ( epred6_2 @ X24 @ X25 ) @ X36 )
| ~ ( X25 @ ( epred3_2 @ X24 @ X25 ) @ ( epred3_2 @ X24 @ X25 ) @ ( esk2_2 @ X24 @ X25 ) )
| ( epred1_2 @ X24 @ X25 @ ( esk1_2 @ X24 @ X25 ) ) )
& ( ~ ( X25 @ ( epred4_2 @ X24 @ X25 ) @ ( epred6_2 @ X24 @ X25 ) @ ( esk3_2 @ X24 @ X25 ) )
| ~ ( X25 @ ( epred3_2 @ X24 @ X25 ) @ ( epred3_2 @ X24 @ X25 ) @ ( esk2_2 @ X24 @ X25 ) )
| ( epred1_2 @ X24 @ X25 @ ( esk1_2 @ X24 @ X25 ) ) )
& ( ~ ( X24 @ ( epred4_2 @ X24 @ X25 ) @ ( epred6_2 @ X24 @ X25 ) @ ( esk3_2 @ X24 @ X25 ) )
| ~ ( X25 @ ( epred3_2 @ X24 @ X25 ) @ ( epred3_2 @ X24 @ X25 ) @ ( esk2_2 @ X24 @ X25 ) )
| ( epred1_2 @ X24 @ X25 @ ( esk1_2 @ X24 @ X25 ) ) )
& ( ( X25 @ ( epred4_2 @ X24 @ X25 ) @ ( epred5_2 @ X24 @ X25 ) @ X35 )
| ( X24 @ ( epred4_2 @ X24 @ X25 ) @ ( epred5_2 @ X24 @ X25 ) @ X35 )
| ~ ( X24 @ ( epred3_2 @ X24 @ X25 ) @ ( epred3_2 @ X24 @ X25 ) @ ( esk2_2 @ X24 @ X25 ) )
| ( epred1_2 @ X24 @ X25 @ ( esk1_2 @ X24 @ X25 ) ) )
& ( ( X25 @ ( epred5_2 @ X24 @ X25 ) @ ( epred6_2 @ X24 @ X25 ) @ X36 )
| ( X24 @ ( epred5_2 @ X24 @ X25 ) @ ( epred6_2 @ X24 @ X25 ) @ X36 )
| ~ ( X24 @ ( epred3_2 @ X24 @ X25 ) @ ( epred3_2 @ X24 @ X25 ) @ ( esk2_2 @ X24 @ X25 ) )
| ( epred1_2 @ X24 @ X25 @ ( esk1_2 @ X24 @ X25 ) ) )
& ( ~ ( X25 @ ( epred4_2 @ X24 @ X25 ) @ ( epred6_2 @ X24 @ X25 ) @ ( esk3_2 @ X24 @ X25 ) )
| ~ ( X24 @ ( epred3_2 @ X24 @ X25 ) @ ( epred3_2 @ X24 @ X25 ) @ ( esk2_2 @ X24 @ X25 ) )
| ( epred1_2 @ X24 @ X25 @ ( esk1_2 @ X24 @ X25 ) ) )
& ( ~ ( X24 @ ( epred4_2 @ X24 @ X25 ) @ ( epred6_2 @ X24 @ X25 ) @ ( esk3_2 @ X24 @ X25 ) )
| ~ ( X24 @ ( epred3_2 @ X24 @ X25 ) @ ( epred3_2 @ X24 @ X25 ) @ ( esk2_2 @ X24 @ X25 ) )
| ( epred1_2 @ X24 @ X25 @ ( esk1_2 @ X24 @ X25 ) ) )
& ( ( X25 @ ( epred4_2 @ X24 @ X25 ) @ ( epred5_2 @ X24 @ X25 ) @ X35 )
| ( X24 @ ( epred4_2 @ X24 @ X25 ) @ ( epred5_2 @ X24 @ X25 ) @ X35 )
| ~ ( X25 @ ( epred3_2 @ X24 @ X25 ) @ ( epred3_2 @ X24 @ X25 ) @ ( esk2_2 @ X24 @ X25 ) )
| ~ ( epred2_2 @ X24 @ X25 @ ( esk1_2 @ X24 @ X25 ) ) )
& ( ( X25 @ ( epred5_2 @ X24 @ X25 ) @ ( epred6_2 @ X24 @ X25 ) @ X36 )
| ( X24 @ ( epred5_2 @ X24 @ X25 ) @ ( epred6_2 @ X24 @ X25 ) @ X36 )
| ~ ( X25 @ ( epred3_2 @ X24 @ X25 ) @ ( epred3_2 @ X24 @ X25 ) @ ( esk2_2 @ X24 @ X25 ) )
| ~ ( epred2_2 @ X24 @ X25 @ ( esk1_2 @ X24 @ X25 ) ) )
& ( ~ ( X25 @ ( epred4_2 @ X24 @ X25 ) @ ( epred6_2 @ X24 @ X25 ) @ ( esk3_2 @ X24 @ X25 ) )
| ~ ( X25 @ ( epred3_2 @ X24 @ X25 ) @ ( epred3_2 @ X24 @ X25 ) @ ( esk2_2 @ X24 @ X25 ) )
| ~ ( epred2_2 @ X24 @ X25 @ ( esk1_2 @ X24 @ X25 ) ) )
& ( ~ ( X24 @ ( epred4_2 @ X24 @ X25 ) @ ( epred6_2 @ X24 @ X25 ) @ ( esk3_2 @ X24 @ X25 ) )
| ~ ( X25 @ ( epred3_2 @ X24 @ X25 ) @ ( epred3_2 @ X24 @ X25 ) @ ( esk2_2 @ X24 @ X25 ) )
| ~ ( epred2_2 @ X24 @ X25 @ ( esk1_2 @ X24 @ X25 ) ) )
& ( ( X25 @ ( epred4_2 @ X24 @ X25 ) @ ( epred5_2 @ X24 @ X25 ) @ X35 )
| ( X24 @ ( epred4_2 @ X24 @ X25 ) @ ( epred5_2 @ X24 @ X25 ) @ X35 )
| ~ ( X24 @ ( epred3_2 @ X24 @ X25 ) @ ( epred3_2 @ X24 @ X25 ) @ ( esk2_2 @ X24 @ X25 ) )
| ~ ( epred2_2 @ X24 @ X25 @ ( esk1_2 @ X24 @ X25 ) ) )
& ( ( X25 @ ( epred5_2 @ X24 @ X25 ) @ ( epred6_2 @ X24 @ X25 ) @ X36 )
| ( X24 @ ( epred5_2 @ X24 @ X25 ) @ ( epred6_2 @ X24 @ X25 ) @ X36 )
| ~ ( X24 @ ( epred3_2 @ X24 @ X25 ) @ ( epred3_2 @ X24 @ X25 ) @ ( esk2_2 @ X24 @ X25 ) )
| ~ ( epred2_2 @ X24 @ X25 @ ( esk1_2 @ X24 @ X25 ) ) )
& ( ~ ( X25 @ ( epred4_2 @ X24 @ X25 ) @ ( epred6_2 @ X24 @ X25 ) @ ( esk3_2 @ X24 @ X25 ) )
| ~ ( X24 @ ( epred3_2 @ X24 @ X25 ) @ ( epred3_2 @ X24 @ X25 ) @ ( esk2_2 @ X24 @ X25 ) )
| ~ ( epred2_2 @ X24 @ X25 @ ( esk1_2 @ X24 @ X25 ) ) )
& ( ~ ( X24 @ ( epred4_2 @ X24 @ X25 ) @ ( epred6_2 @ X24 @ X25 ) @ ( esk3_2 @ X24 @ X25 ) )
| ~ ( X24 @ ( epred3_2 @ X24 @ X25 ) @ ( epred3_2 @ X24 @ X25 ) @ ( esk2_2 @ X24 @ X25 ) )
| ~ ( epred2_2 @ X24 @ X25 @ ( esk1_2 @ X24 @ X25 ) ) ) ),
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,
! [X5: $i,X6: $i,X2: ( $i > $o ) > ( $i > $o ) > $i > $o,X1: ( $i > $o ) > ( $i > $o ) > $i > $o] :
( ( X1 @ ( epred4_2 @ X2 @ X1 ) @ ( epred5_2 @ X2 @ X1 ) @ X5 )
| ( X2 @ ( epred4_2 @ X2 @ X1 ) @ ( epred5_2 @ X2 @ X1 ) @ X5 )
| ( X1 @ ( epred1_2 @ X2 @ X1 ) @ ( epred2_2 @ X2 @ X1 ) @ X6 )
| ( X2 @ ( epred1_2 @ X2 @ X1 ) @ ( epred2_2 @ X2 @ X1 ) @ X6 )
| ~ ( X2 @ ( epred3_2 @ X2 @ X1 ) @ ( epred3_2 @ X2 @ X1 ) @ ( esk2_2 @ X2 @ X1 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_4,negated_conjecture,
! [X1: ( $i > $o ) > ( $i > $o ) > $i > $o,X5: $i,X6: $i] :
( ( ( epred5_2
@ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
@ X1 )
= ( epred4_2
@ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
@ X1 ) )
| ( ( epred2_2
@ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
@ X1 )
= ( epred1_2
@ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
@ X1 ) )
| ( X1
@ ( epred4_2
@ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
@ X1 )
@ ( epred5_2
@ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
@ X1 )
@ X5 )
| ( X1
@ ( epred1_2
@ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
@ X1 )
@ ( epred2_2
@ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
@ X1 )
@ X6 ) ),
inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[inference(cn,[status(thm)],[])]),c_0_3]) ).
thf(c_0_5,negated_conjecture,
( ( ( epred2_2
@ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
@ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0 )
= ( epred1_2
@ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
@ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0 ) )
| ( ( epred5_2
@ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
@ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0 )
= ( epred4_2
@ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
@ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0 ) ) ),
inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[inference(cn,[status(thm)],[])]),c_0_4]) ).
thf(c_0_6,negated_conjecture,
! [X5: $i,X2: ( $i > $o ) > ( $i > $o ) > $i > $o,X1: ( $i > $o ) > ( $i > $o ) > $i > $o] :
( ( X1 @ ( epred4_2 @ X2 @ X1 ) @ ( epred5_2 @ X2 @ X1 ) @ X5 )
| ( X2 @ ( epred4_2 @ X2 @ X1 ) @ ( epred5_2 @ X2 @ X1 ) @ X5 )
| ( epred1_2 @ X2 @ X1 @ ( esk1_2 @ X2 @ X1 ) )
| ~ ( X2 @ ( epred3_2 @ X2 @ X1 ) @ ( epred3_2 @ X2 @ X1 ) @ ( esk2_2 @ X2 @ X1 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_7,negated_conjecture,
! [X380: $i] :
( ( ( epred2_2
@ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
@ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
@ X380 )
<=> ( epred1_2
@ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
@ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
@ X380 ) )
| ( ( epred5_2
@ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
@ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0 )
= ( epred4_2
@ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
@ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0 ) ) ),
inference(arg_cong,[status(thm)],[c_0_5]) ).
thf(c_0_8,negated_conjecture,
! [X5: $i,X1: ( $i > $o ) > ( $i > $o ) > $i > $o] :
( ( ( epred5_2
@ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
@ X1 )
= ( epred4_2
@ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
@ X1 ) )
| ( X1
@ ( epred4_2
@ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
@ X1 )
@ ( epred5_2
@ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
@ X1 )
@ X5 )
| ( epred1_2
@ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
@ X1
@ ( esk1_2
@ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
@ X1 ) ) ),
inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[inference(cn,[status(thm)],[])]),c_0_6]) ).
thf(c_0_9,negated_conjecture,
! [X5: $i,X6: $i,X2: ( $i > $o ) > ( $i > $o ) > $i > $o,X1: ( $i > $o ) > ( $i > $o ) > $i > $o] :
( ( X1 @ ( epred5_2 @ X2 @ X1 ) @ ( epred6_2 @ X2 @ X1 ) @ X5 )
| ( X2 @ ( epred5_2 @ X2 @ X1 ) @ ( epred6_2 @ X2 @ X1 ) @ X5 )
| ( X1 @ ( epred1_2 @ X2 @ X1 ) @ ( epred2_2 @ X2 @ X1 ) @ X6 )
| ( X2 @ ( epred1_2 @ X2 @ X1 ) @ ( epred2_2 @ X2 @ X1 ) @ X6 )
| ~ ( X2 @ ( epred3_2 @ X2 @ X1 ) @ ( epred3_2 @ X2 @ X1 ) @ ( esk2_2 @ X2 @ X1 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_10,negated_conjecture,
! [X5: $i,X2: ( $i > $o ) > ( $i > $o ) > $i > $o,X1: ( $i > $o ) > ( $i > $o ) > $i > $o] :
( ( X1 @ ( epred4_2 @ X2 @ X1 ) @ ( epred5_2 @ X2 @ X1 ) @ X5 )
| ( X2 @ ( epred4_2 @ X2 @ X1 ) @ ( epred5_2 @ X2 @ X1 ) @ X5 )
| ~ ( X1 @ ( epred3_2 @ X2 @ X1 ) @ ( epred3_2 @ X2 @ X1 ) @ ( esk2_2 @ X2 @ X1 ) )
| ~ ( epred2_2 @ X2 @ X1 @ ( esk1_2 @ X2 @ X1 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_11,negated_conjecture,
! [X5: $i] :
( ( ( epred5_2
@ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
@ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0 )
= ( epred4_2
@ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
@ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0 ) )
| ( epred2_2
@ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
@ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
@ X5 )
| ~ ( epred1_2
@ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
@ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
@ X5 ) ),
inference(dynamic_cnf,[status(thm)],[c_0_7]) ).
thf(c_0_12,negated_conjecture,
( ( ( epred5_2
@ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
@ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0 )
= ( epred4_2
@ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
@ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0 ) )
| ( epred1_2
@ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
@ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
@ ( esk1_2
@ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
@ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0 ) ) ),
inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[inference(cn,[status(thm)],[])]),c_0_8]) ).
thf(c_0_13,negated_conjecture,
! [X1: ( $i > $o ) > ( $i > $o ) > $i > $o,X5: $i,X6: $i] :
( ( ( epred6_2
@ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
@ X1 )
= ( epred5_2
@ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
@ X1 ) )
| ( ( epred2_2
@ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
@ X1 )
= ( epred1_2
@ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
@ X1 ) )
| ( X1
@ ( epred5_2
@ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
@ X1 )
@ ( epred6_2
@ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
@ X1 )
@ X5 )
| ( X1
@ ( epred1_2
@ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
@ X1 )
@ ( epred2_2
@ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
@ X1 )
@ X6 ) ),
inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[inference(cn,[status(thm)],[])]),c_0_9]) ).
thf(c_0_14,negated_conjecture,
( ( epred5_2
@ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
@ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0 )
= ( epred4_2
@ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
@ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0 ) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11])])]),c_0_12]) ).
thf(c_0_15,negated_conjecture,
! [X5: $i,X2: ( $i > $o ) > ( $i > $o ) > $i > $o,X1: ( $i > $o ) > ( $i > $o ) > $i > $o] :
( ( X1 @ ( epred5_2 @ X2 @ X1 ) @ ( epred6_2 @ X2 @ X1 ) @ X5 )
| ( X2 @ ( epred5_2 @ X2 @ X1 ) @ ( epred6_2 @ X2 @ X1 ) @ X5 )
| ( epred1_2 @ X2 @ X1 @ ( esk1_2 @ X2 @ X1 ) )
| ~ ( X2 @ ( epred3_2 @ X2 @ X1 ) @ ( epred3_2 @ X2 @ X1 ) @ ( esk2_2 @ X2 @ X1 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_16,negated_conjecture,
( ( ( epred2_2
@ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
@ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0 )
= ( epred1_2
@ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
@ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0 ) )
| ( ( epred6_2
@ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
@ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0 )
= ( epred4_2
@ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
@ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0 ) ) ),
inference(rw,[status(thm)],[inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[inference(cn,[status(thm)],[])]),c_0_13]),c_0_14]) ).
thf(c_0_17,negated_conjecture,
! [X5: $i,X1: ( $i > $o ) > ( $i > $o ) > $i > $o] :
( ( ( epred6_2
@ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
@ X1 )
= ( epred5_2
@ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
@ X1 ) )
| ( X1
@ ( epred5_2
@ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
@ X1 )
@ ( epred6_2
@ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
@ X1 )
@ X5 )
| ( epred1_2
@ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
@ X1
@ ( esk1_2
@ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
@ X1 ) ) ),
inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[inference(cn,[status(thm)],[])]),c_0_15]) ).
thf(c_0_18,negated_conjecture,
! [X1: ( $i > $o ) > ( $i > $o ) > $i > $o,X2: ( $i > $o ) > ( $i > $o ) > $i > $o] :
( ( epred1_2 @ X1 @ X2 @ ( esk1_2 @ X1 @ X2 ) )
| ~ ( X1 @ ( epred4_2 @ X1 @ X2 ) @ ( epred6_2 @ X1 @ X2 ) @ ( esk3_2 @ X1 @ X2 ) )
| ~ ( X1 @ ( epred3_2 @ X1 @ X2 ) @ ( epred3_2 @ X1 @ X2 ) @ ( esk2_2 @ X1 @ X2 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_19,negated_conjecture,
! [X466: $i] :
( ( ( epred2_2
@ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
@ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
@ X466 )
<=> ( epred1_2
@ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
@ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
@ X466 ) )
| ( ( epred6_2
@ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
@ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0 )
= ( epred4_2
@ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
@ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0 ) ) ),
inference(arg_cong,[status(thm)],[c_0_16]) ).
thf(c_0_20,negated_conjecture,
( ( ( epred6_2
@ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
@ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0 )
= ( epred5_2
@ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
@ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0 ) )
| ( epred1_2
@ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
@ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
@ ( esk1_2
@ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
@ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0 ) ) ),
inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[inference(cn,[status(thm)],[])]),c_0_17]) ).
thf(c_0_21,negated_conjecture,
! [X1: ( $i > $o ) > ( $i > $o ) > $i > $o] :
( ( epred1_2
@ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
@ X1
@ ( esk1_2
@ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
@ X1 ) )
| ( ( epred6_2
@ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
@ X1 )
!= ( epred4_2
@ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
@ X1 ) ) ),
inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[inference(cn,[status(thm)],[])]),c_0_18]) ).
thf(c_0_22,negated_conjecture,
! [X5: $i,X2: ( $i > $o ) > ( $i > $o ) > $i > $o,X1: ( $i > $o ) > ( $i > $o ) > $i > $o] :
( ( X1 @ ( epred1_2 @ X2 @ X1 ) @ ( epred2_2 @ X2 @ X1 ) @ X5 )
| ( X2 @ ( epred1_2 @ X2 @ X1 ) @ ( epred2_2 @ X2 @ X1 ) @ X5 )
| ~ ( X1 @ ( epred4_2 @ X2 @ X1 ) @ ( epred6_2 @ X2 @ X1 ) @ ( esk3_2 @ X2 @ X1 ) )
| ~ ( X1 @ ( epred3_2 @ X2 @ X1 ) @ ( epred3_2 @ X2 @ X1 ) @ ( esk2_2 @ X2 @ X1 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_23,negated_conjecture,
! [X5: $i,X2: ( $i > $o ) > ( $i > $o ) > $i > $o,X1: ( $i > $o ) > ( $i > $o ) > $i > $o] :
( ( X1 @ ( epred5_2 @ X2 @ X1 ) @ ( epred6_2 @ X2 @ X1 ) @ X5 )
| ( X2 @ ( epred5_2 @ X2 @ X1 ) @ ( epred6_2 @ X2 @ X1 ) @ X5 )
| ~ ( X2 @ ( epred3_2 @ X2 @ X1 ) @ ( epred3_2 @ X2 @ X1 ) @ ( esk2_2 @ X2 @ X1 ) )
| ~ ( epred2_2 @ X2 @ X1 @ ( esk1_2 @ X2 @ X1 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_24,negated_conjecture,
! [X5: $i] :
( ( ( epred6_2
@ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
@ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0 )
= ( epred4_2
@ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
@ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0 ) )
| ( epred2_2
@ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
@ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
@ X5 )
| ~ ( epred1_2
@ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
@ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
@ X5 ) ),
inference(dynamic_cnf,[status(thm)],[c_0_19]) ).
thf(c_0_25,negated_conjecture,
( epred1_2
@ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
@ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
@ ( esk1_2
@ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
@ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0 ) ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[c_0_20,c_0_14]),c_0_21]) ).
thf(c_0_26,negated_conjecture,
! [X5: $i,X1: ( $i > $o ) > ( $i > $o ) > $i > $o] :
( ( ( epred2_2 @ X1
@ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0 )
= ( epred1_2 @ X1
@ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0 ) )
| ( X1
@ ( epred1_2 @ X1
@ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0 )
@ ( epred2_2 @ X1
@ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0 )
@ X5 )
| ( ( epred6_2 @ X1
@ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0 )
!= ( epred4_2 @ X1
@ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0 ) ) ),
inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[inference(cn,[status(thm)],[])]),c_0_22]) ).
thf(c_0_27,negated_conjecture,
( ( epred6_2
@ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
@ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0 )
= ( epred4_2
@ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
@ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24])])]),c_0_14]),c_0_25])]) ).
thf(c_0_28,negated_conjecture,
( ( epred2_2
@ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
@ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0 )
= ( epred1_2
@ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
@ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[inference(cn,[status(thm)],[])]),c_0_26]),c_0_27])]) ).
thf(c_0_29,negated_conjecture,
! [X524: $i] :
( ( epred2_2
@ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
@ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
@ X524 )
<=> ( epred1_2
@ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
@ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
@ X524 ) ),
inference(arg_cong,[status(thm)],[c_0_28]) ).
thf(c_0_30,negated_conjecture,
! [X1: ( $i > $o ) > ( $i > $o ) > $i > $o,X2: ( $i > $o ) > ( $i > $o ) > $i > $o] :
( ~ ( X1 @ ( epred4_2 @ X1 @ X2 ) @ ( epred6_2 @ X1 @ X2 ) @ ( esk3_2 @ X1 @ X2 ) )
| ~ ( X1 @ ( epred3_2 @ X1 @ X2 ) @ ( epred3_2 @ X1 @ X2 ) @ ( esk2_2 @ X1 @ X2 ) )
| ~ ( epred2_2 @ X1 @ X2 @ ( esk1_2 @ X1 @ X2 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_31,negated_conjecture,
! [X5: $i] :
( ( epred2_2
@ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
@ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
@ X5 )
| ~ ( epred1_2
@ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
@ ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] : Z0
@ X5 ) ),
inference(dynamic_cnf,[status(thm)],[c_0_29]) ).
thf(c_0_32,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31])])]),c_0_27]),c_0_25])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV095^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.16 % Computer : n010.cluster.edu
% 0.09/0.16 % Model : x86_64 x86_64
% 0.09/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.16 % Memory : 8046.5625MB
% 0.09/0.16 % OS : Linux 6.8.0-71-generic
% 0.09/0.16 % CPULimit : 300
% 0.09/0.16 % WCLimit : 300
% 0.09/0.16 % DateTime : Tue Sep 29 15:10:18 UTC 2026
% 0.09/0.16 % CPUTime :
% 0.09/0.16 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 Running higher-order theorem proving
% 0.09/0.21 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.Ww4wGZc0QB/E---3.1_2976475.p
% 2.54/0.59 % Version: 3.5.1-ho
% 2.54/0.59 % Preprocessing class: HSSSSMSSSSSNHHA.
% 2.54/0.59 % Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 2.54/0.59 % Starting sh2lt with 1200s (4) cores
% 2.54/0.59 % Starting new_ho_10_unif with 300s (1) cores
% 2.54/0.59 % Starting full_lambda_6 with 300s (1) cores
% 2.54/0.59 % Starting post_as_ho1 with 300s (1) cores
% 2.54/0.59 % Starting ehoh_best3_rw with 300s (1) cores
% 2.54/0.59 % full_lambda_6 with pid 2976490 completed with status 0
% 2.54/0.59 % Result found by full_lambda_6
% 2.54/0.59 % Preprocessing class: HSSSSMSSSSSNHHA.
% 2.54/0.59 % Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 2.54/0.59 % Starting sh2lt with 1200s (4) cores
% 2.54/0.59 % Starting new_ho_10_unif with 300s (1) cores
% 2.54/0.59 % Starting full_lambda_6 with 300s (1) cores
% 2.54/0.59 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 1, sine = GSinE(CountTerms,hypos,4,,4,20000,1.0,true))
% 2.54/0.59 % SinE strategy is GSinE(CountTerms,hypos,4,,4,20000,1.0,true)
% 2.54/0.59 % Search class: HGHNF-FFMF22-SHHFFMBN
% 2.54/0.59 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 2.54/0.59 % Starting SubtermCWHack with 28s (1) cores
% 2.54/0.59 % SubtermCWHack with pid 2976496 completed with status 10
% 2.54/0.59 % Starting full_lambda_6 with 31s (1) cores
% 2.54/0.59 % full_lambda_6 with pid 2976503 completed with status 10
% 2.54/0.59 % Starting ehoh_best3_rw with 28s (1) cores
% 2.54/0.59 % ehoh_best3_rw with pid 2976508 completed with status 0
% 2.54/0.59 % Result found by ehoh_best3_rw
% 2.54/0.59 % Preprocessing class: HSSSSMSSSSSNHHA.
% 2.54/0.59 % Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 2.54/0.59 % Starting sh2lt with 1200s (4) cores
% 2.54/0.59 % Starting new_ho_10_unif with 300s (1) cores
% 2.54/0.59 % Starting full_lambda_6 with 300s (1) cores
% 2.54/0.59 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 1, sine = GSinE(CountTerms,hypos,4,,4,20000,1.0,true))
% 2.54/0.59 % SinE strategy is GSinE(CountTerms,hypos,4,,4,20000,1.0,true)
% 2.54/0.59 % Search class: HGHNF-FFMF22-SHHFFMBN
% 2.54/0.59 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 2.54/0.59 % Starting SubtermCWHack with 28s (1) cores
% 2.54/0.59 % SubtermCWHack with pid 2976496 completed with status 10
% 2.54/0.59 % Starting full_lambda_6 with 31s (1) cores
% 2.54/0.59 % full_lambda_6 with pid 2976503 completed with status 10
% 2.54/0.59 % Starting ehoh_best3_rw with 28s (1) cores
% 2.54/0.59 % Preprocessing time : 0.002 s
% 2.54/0.59 % Presaturation interreduction done
% 2.54/0.59
% 2.54/0.59 % Proof found!
% 2.54/0.59 % SZS status Theorem
% 2.54/0.59 % SZS output start CNFRefutation
% See solution above
% 2.54/0.59 % Parsed axioms : 1
% 2.54/0.59 % Removed by relevancy pruning/SinE : 0
% 2.54/0.59 % Initial clauses : 24
% 2.54/0.59 % Removed in clause preprocessing : 0
% 2.54/0.59 % Initial clauses in saturation : 24
% 2.54/0.59 % Processed clauses : 343
% 2.54/0.59 % ...of these trivial : 12
% 2.54/0.59 % ...subsumed : 77
% 2.54/0.59 % ...remaining for further processing : 254
% 2.54/0.59 % Other redundant clauses eliminated : 40
% 2.54/0.59 % Clauses deleted for lack of memory : 0
% 2.54/0.59 % Backward-subsumed : 2
% 2.54/0.59 % Backward-rewritten : 12
% 2.54/0.59 % Generated clauses : 2004
% 2.54/0.59 % ...of the previous two non-redundant : 1670
% 2.54/0.59 % ...aggressively subsumed : 0
% 2.54/0.59 % Contextual simplify-reflections : 6
% 2.54/0.59 % Paramodulations : 1176
% 2.54/0.59 % Factorizations : 6
% 2.54/0.59 % NegExts : 6
% 2.54/0.59 % Equation resolutions : 40
% 2.54/0.59 % Disequality decompositions : 0
% 2.54/0.59 % Total rewrite steps : 93
% 2.54/0.59 % ...of those cached : 76
% 2.54/0.59 % Propositional unsat checks : 0
% 2.54/0.59 % Propositional check models : 0
% 2.54/0.59 % Propositional check unsatisfiable : 0
% 2.54/0.59 % Propositional clauses : 0
% 2.54/0.59 % Propositional clauses after purity: 0
% 2.54/0.59 % Propositional unsat core size : 0
% 2.54/0.59 % Propositional preprocessing time : 0.000
% 2.54/0.59 % Propositional encoding time : 0.000
% 2.54/0.59 % Propositional solver time : 0.000
% 2.54/0.59 % Success case prop preproc time : 0.000
% 2.54/0.59 % Success case prop encoding time : 0.000
% 2.54/0.59 % Success case prop solver time : 0.000
% 2.54/0.59 % Current number of processed clauses : 107
% 2.54/0.59 % Positive orientable unit clauses : 9
% 2.54/0.59 % Positive unorientable unit clauses: 0
% 2.54/0.59 % Negative unit clauses : 3
% 2.54/0.59 % Non-unit-clauses : 95
% 2.54/0.59 % Current number of unprocessed clauses: 1350
% 2.54/0.59 % ...number of literals in the above : 5821
% 2.54/0.59 % Current number of archived formulas : 0
% 2.54/0.59 % Current number of archived clauses : 147
% 2.54/0.59 % Clause-clause subsumption calls (NU) : 2800
% 2.54/0.59 % Rec. Clause-clause subsumption calls : 1123
% 2.54/0.59 % Non-unit clause-clause subsumptions : 65
% 2.54/0.59 % Unit Clause-clause subsumption calls : 163
% 2.54/0.59 % Rewrite failures with RHS unbound : 0
% 2.54/0.59 % BW rewrite match attempts : 11
% 2.54/0.59 % BW rewrite match successes : 4
% 2.54/0.59 % Condensation attempts : 0
% 2.54/0.59 % Condensation successes : 0
% 2.54/0.59 % Termbank termtop insertions : 1032754
% 2.54/0.59 % Search garbage collected termcells : 348
% 2.54/0.59
% 2.54/0.59 % -------------------------------------------------
% 2.54/0.59 % User time : 0.339 s
% 2.54/0.59 % System time : 0.014 s
% 2.54/0.59 % Total time : 0.352 s
% 2.54/0.59 % Maximum resident set size: 3636 pages
% 2.54/0.59
% 2.54/0.59 % -------------------------------------------------
% 2.54/0.59 % User time : 0.340 s
% 2.54/0.59 % System time : 0.019 s
% 2.54/0.59 % Total time : 0.358 s
% 2.54/0.59 % Maximum resident set size: 4864 pages
% 2.54/0.59 % E exiting
%------------------------------------------------------------------------------