%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYO500_8.002 : TPTP v9.3.1. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n014.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 : Thu Sep 24 03:46:57 PM UTC 2026
% Result : Theorem 0.10s 0.44s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 7
% Syntax : Number of formulae : 139 ( 10 unt; 0 def)
% Number of atoms : 1332 ( 0 equ)
% Maximal formula atoms : 131 ( 9 avg)
% Number of connectives : 1810 ( 617 ~; 965 |; 217 &)
% ( 11 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 33 ( 5 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 11 ( 9 usr; 9 prp; 0-1 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
tff(decl_23,type,
x: $o ).
tff(decl_24,type,
f0: $o > $o ).
tff(decl_25,type,
f1: $o > $o ).
tff(decl_26,type,
epred1_0: $o ).
tff(decl_27,type,
epred2_0: $o ).
tff(decl_28,type,
epred3_0: $o ).
tff(decl_29,type,
epred4_0: $o ).
tff(decl_30,type,
epred5_0: $o ).
tff(decl_31,type,
epred6_0: $o ).
fof(kaminski2,conjecture,
( f0(f0(f0(f1(x))))
<=> f0(f1(f1(f1(x)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kaminski2) ).
fof(c_0_1,plain,
( epred3_0
<=> ( ( f0($false)
| ( ( f0($false)
| ( ( f0($false)
| ( ( f1($false)
| x )
& ( f1($true)
| ~ x ) ) )
& ( f0($true)
| ( ( ~ f1($false)
| x )
& ( ~ f1($true)
| ~ x ) ) ) ) )
& ( f0($true)
| ( ( ~ f0($false)
| ( ( f1($false)
| x )
& ( f1($true)
| ~ x ) ) )
& ( ~ f0($true)
| ( ( ~ f1($false)
| x )
& ( ~ f1($true)
| ~ x ) ) ) ) ) ) )
& ( f0($true)
| ( ( ~ f0($false)
| ( ( f0($false)
| ( ( f1($false)
| x )
& ( f1($true)
| ~ x ) ) )
& ( f0($true)
| ( ( ~ f1($false)
| x )
& ( ~ f1($true)
| ~ x ) ) ) ) )
& ( ~ f0($true)
| ( ( ~ f0($false)
| ( ( f1($false)
| x )
& ( f1($true)
| ~ x ) ) )
& ( ~ f0($true)
| ( ( ~ f1($false)
| x )
& ( ~ f1($true)
| ~ x ) ) ) ) ) ) ) ) ),
introduced(definition) ).
fof(c_0_2,plain,
( epred1_0
<=> ( ( ~ f0($false)
| ( ( f1($false)
| x )
& ( f1($true)
| ~ x ) ) )
& ( ~ f0($true)
| ( ( ~ f1($false)
| x )
& ( ~ f1($true)
| ~ x ) ) ) ) ),
introduced(definition) ).
fof(c_0_3,plain,
( epred2_0
<=> ( ( f0($false)
| ( ( f1($false)
| x )
& ( f1($true)
| ~ x ) ) )
& ( f0($true)
| ( ( ~ f1($false)
| x )
& ( ~ f1($true)
| ~ x ) ) ) ) ),
introduced(definition) ).
fof(c_0_4,plain,
( epred3_0
<=> ( ( f0($false)
| ( ( f0($false)
| epred2_0 )
& ( f0($true)
| epred1_0 ) ) )
& ( f0($true)
| ( ( ~ f0($false)
| epred2_0 )
& ( ~ f0($true)
| epred1_0 ) ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_1,c_0_2]),c_0_3]),c_0_2]),c_0_3]) ).
fof(c_0_5,plain,
( ( epred3_0
| ~ f0($true)
| ~ f0($false) )
& ( epred3_0
| ~ f0($true)
| ~ f0($true)
| ~ f0($false) )
& ( epred3_0
| ~ f0($true)
| ~ f0($true)
| ~ epred2_0 )
& ( epred3_0
| ~ f0($true)
| ~ epred1_0
| ~ f0($false) )
& ( epred3_0
| ~ f0($true)
| ~ epred1_0
| ~ epred2_0 )
& ( epred3_0
| f0($true)
| f0($false)
| ~ f0($false) )
& ( epred3_0
| f0($true)
| f0($false)
| ~ f0($true)
| ~ f0($false) )
& ( epred3_0
| f0($true)
| f0($false)
| ~ f0($true)
| ~ epred2_0 )
& ( epred3_0
| f0($true)
| f0($false)
| ~ epred1_0
| ~ f0($false) )
& ( epred3_0
| f0($true)
| f0($false)
| ~ epred1_0
| ~ epred2_0 )
& ( epred3_0
| f0($true)
| ~ epred2_0
| ~ f0($false) )
& ( epred3_0
| f0($true)
| ~ epred2_0
| ~ f0($true)
| ~ f0($false) )
& ( epred3_0
| f0($true)
| ~ epred2_0
| ~ f0($true)
| ~ epred2_0 )
& ( epred3_0
| f0($true)
| ~ epred2_0
| ~ epred1_0
| ~ f0($false) )
& ( epred3_0
| f0($true)
| ~ epred2_0
| ~ epred1_0
| ~ epred2_0 )
& ( epred3_0
| ~ epred1_0
| f0($false)
| ~ f0($false) )
& ( epred3_0
| ~ epred1_0
| f0($false)
| ~ f0($true)
| ~ f0($false) )
& ( epred3_0
| ~ epred1_0
| f0($false)
| ~ f0($true)
| ~ epred2_0 )
& ( epred3_0
| ~ epred1_0
| f0($false)
| ~ epred1_0
| ~ f0($false) )
& ( epred3_0
| ~ epred1_0
| f0($false)
| ~ epred1_0
| ~ epred2_0 )
& ( epred3_0
| ~ epred1_0
| ~ epred2_0
| ~ f0($false) )
& ( epred3_0
| ~ epred1_0
| ~ epred2_0
| ~ f0($true)
| ~ f0($false) )
& ( epred3_0
| ~ epred1_0
| ~ epred2_0
| ~ f0($true)
| ~ epred2_0 )
& ( epred3_0
| ~ epred1_0
| ~ epred2_0
| ~ epred1_0
| ~ f0($false) )
& ( epred3_0
| ~ epred1_0
| ~ epred2_0
| ~ epred1_0
| ~ epred2_0 )
& ( ~ epred3_0
| f0($false)
| f0($false)
| epred2_0 )
& ( ~ epred3_0
| f0($false)
| f0($true)
| epred1_0 )
& ( ~ epred3_0
| f0($true)
| ~ f0($false)
| epred2_0 )
& ( ~ epred3_0
| f0($true)
| ~ f0($true)
| epred1_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])]) ).
fof(c_0_6,plain,
( epred5_0
<=> ( ( f1($false)
| ( ( f1($false)
| x )
& ( f1($true)
| ~ x ) ) )
& ( f1($true)
| ( ( ~ f1($false)
| x )
& ( ~ f1($true)
| ~ x ) ) ) ) ),
introduced(definition) ).
fof(c_0_7,plain,
( ( epred2_0
| ~ f0($true)
| ~ f0($false) )
& ( epred2_0
| ~ f0($true)
| ~ f1($true)
| ~ f1($false) )
& ( epred2_0
| ~ f0($true)
| ~ f1($true)
| ~ x )
& ( epred2_0
| ~ f0($true)
| x
| ~ f1($false) )
& ( epred2_0
| ~ f0($true)
| x
| ~ x )
& ( epred2_0
| f1($true)
| f1($false)
| ~ f0($false) )
& ( epred2_0
| f1($true)
| f1($false)
| ~ f1($true)
| ~ f1($false) )
& ( epred2_0
| f1($true)
| f1($false)
| ~ f1($true)
| ~ x )
& ( epred2_0
| f1($true)
| f1($false)
| x
| ~ f1($false) )
& ( epred2_0
| f1($true)
| f1($false)
| x
| ~ x )
& ( epred2_0
| f1($true)
| ~ x
| ~ f0($false) )
& ( epred2_0
| f1($true)
| ~ x
| ~ f1($true)
| ~ f1($false) )
& ( epred2_0
| f1($true)
| ~ x
| ~ f1($true)
| ~ x )
& ( epred2_0
| f1($true)
| ~ x
| x
| ~ f1($false) )
& ( epred2_0
| f1($true)
| ~ x
| x
| ~ x )
& ( epred2_0
| x
| f1($false)
| ~ f0($false) )
& ( epred2_0
| x
| f1($false)
| ~ f1($true)
| ~ f1($false) )
& ( epred2_0
| x
| f1($false)
| ~ f1($true)
| ~ x )
& ( epred2_0
| x
| f1($false)
| x
| ~ f1($false) )
& ( epred2_0
| x
| f1($false)
| x
| ~ x )
& ( epred2_0
| x
| ~ x
| ~ f0($false) )
& ( epred2_0
| x
| ~ x
| ~ f1($true)
| ~ f1($false) )
& ( epred2_0
| x
| ~ x
| ~ f1($true)
| ~ x )
& ( epred2_0
| x
| ~ x
| x
| ~ f1($false) )
& ( epred2_0
| x
| ~ x
| x
| ~ x )
& ( ~ epred2_0
| f0($false)
| f1($false)
| x )
& ( ~ epred2_0
| f0($false)
| f1($true)
| ~ x )
& ( ~ epred2_0
| f0($true)
| ~ f1($false)
| x )
& ( ~ epred2_0
| f0($true)
| ~ f1($true)
| ~ x ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])]) ).
cnf(c_0_8,plain,
( ~ epred3_0
| f0($false)
| f0($false)
| epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_9,negated_conjecture,
~ ( f0(f0(f0(f1(x))))
<=> f0(f1(f1(f1(x)))) ),
inference(assume_negation,[status(cth)],[kaminski2]) ).
fof(c_0_10,plain,
( epred6_0
<=> ( ( f0($false)
| ( ( f1($false)
| ( ( f1($false)
| ( ( f1($false)
| x )
& ( f1($true)
| ~ x ) ) )
& ( f1($true)
| ( ( ~ f1($false)
| x )
& ( ~ f1($true)
| ~ x ) ) ) ) )
& ( f1($true)
| ( ( ~ f1($false)
| ( ( f1($false)
| x )
& ( f1($true)
| ~ x ) ) )
& ( ~ f1($true)
| ( ( ~ f1($false)
| x )
& ( ~ f1($true)
| ~ x ) ) ) ) ) ) )
& ( f0($true)
| ( ( ~ f1($false)
| ( ( f1($false)
| ( ( f1($false)
| x )
& ( f1($true)
| ~ x ) ) )
& ( f1($true)
| ( ( ~ f1($false)
| x )
& ( ~ f1($true)
| ~ x ) ) ) ) )
& ( ~ f1($true)
| ( ( ~ f1($false)
| ( ( f1($false)
| x )
& ( f1($true)
| ~ x ) ) )
& ( ~ f1($true)
| ( ( ~ f1($false)
| x )
& ( ~ f1($true)
| ~ x ) ) ) ) ) ) ) ) ),
introduced(definition) ).
fof(c_0_11,plain,
( ( epred5_0
| ~ f1($true)
| ~ f1($false) )
& ( epred5_0
| ~ f1($true)
| ~ f1($true)
| ~ f1($false) )
& ( epred5_0
| ~ f1($true)
| ~ f1($true)
| ~ x )
& ( epred5_0
| ~ f1($true)
| x
| ~ f1($false) )
& ( epred5_0
| ~ f1($true)
| x
| ~ x )
& ( epred5_0
| f1($true)
| f1($false)
| ~ f1($false) )
& ( epred5_0
| f1($true)
| f1($false)
| ~ f1($true)
| ~ f1($false) )
& ( epred5_0
| f1($true)
| f1($false)
| ~ f1($true)
| ~ x )
& ( epred5_0
| f1($true)
| f1($false)
| x
| ~ f1($false) )
& ( epred5_0
| f1($true)
| f1($false)
| x
| ~ x )
& ( epred5_0
| f1($true)
| ~ x
| ~ f1($false) )
& ( epred5_0
| f1($true)
| ~ x
| ~ f1($true)
| ~ f1($false) )
& ( epred5_0
| f1($true)
| ~ x
| ~ f1($true)
| ~ x )
& ( epred5_0
| f1($true)
| ~ x
| x
| ~ f1($false) )
& ( epred5_0
| f1($true)
| ~ x
| x
| ~ x )
& ( epred5_0
| x
| f1($false)
| ~ f1($false) )
& ( epred5_0
| x
| f1($false)
| ~ f1($true)
| ~ f1($false) )
& ( epred5_0
| x
| f1($false)
| ~ f1($true)
| ~ x )
& ( epred5_0
| x
| f1($false)
| x
| ~ f1($false) )
& ( epred5_0
| x
| f1($false)
| x
| ~ x )
& ( epred5_0
| x
| ~ x
| ~ f1($false) )
& ( epred5_0
| x
| ~ x
| ~ f1($true)
| ~ f1($false) )
& ( epred5_0
| x
| ~ x
| ~ f1($true)
| ~ x )
& ( epred5_0
| x
| ~ x
| x
| ~ f1($false) )
& ( epred5_0
| x
| ~ x
| x
| ~ x )
& ( ~ epred5_0
| f1($false)
| f1($false)
| x )
& ( ~ epred5_0
| f1($false)
| f1($true)
| ~ x )
& ( ~ epred5_0
| f1($true)
| ~ f1($false)
| x )
& ( ~ epred5_0
| f1($true)
| ~ f1($true)
| ~ x ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])]) ).
fof(c_0_12,plain,
( epred4_0
<=> ( ( ~ f1($false)
| ( ( f1($false)
| x )
& ( f1($true)
| ~ x ) ) )
& ( ~ f1($true)
| ( ( ~ f1($false)
| x )
& ( ~ f1($true)
| ~ x ) ) ) ) ),
introduced(definition) ).
cnf(c_0_13,plain,
( ~ f0($true)
| ~ f0($false)
| epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_14,plain,
( ~ epred3_0
| f0($false)
| epred2_0 ),
inference(cn,[status(thm)],[c_0_8]) ).
fof(c_0_15,negated_conjecture,
~ ( epred3_0
<=> epred6_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fool_unroll,[status(thm)],[c_0_9]),c_0_1]),c_0_10]) ).
cnf(c_0_16,plain,
( ~ epred5_0
| f1($false)
| f1($false)
| x ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_17,plain,
( ( epred4_0
| f1($true)
| f1($false) )
& ( epred4_0
| f1($true)
| ~ f1($true)
| ~ f1($false) )
& ( epred4_0
| f1($true)
| ~ f1($true)
| ~ x )
& ( epred4_0
| f1($true)
| x
| ~ f1($false) )
& ( epred4_0
| f1($true)
| x
| ~ x )
& ( epred4_0
| f1($true)
| f1($false)
| f1($false) )
& ( epred4_0
| f1($true)
| f1($false)
| ~ f1($true)
| ~ f1($false) )
& ( epred4_0
| f1($true)
| f1($false)
| ~ f1($true)
| ~ x )
& ( epred4_0
| f1($true)
| f1($false)
| x
| ~ f1($false) )
& ( epred4_0
| f1($true)
| f1($false)
| x
| ~ x )
& ( epred4_0
| f1($true)
| ~ x
| f1($false) )
& ( epred4_0
| f1($true)
| ~ x
| ~ f1($true)
| ~ f1($false) )
& ( epred4_0
| f1($true)
| ~ x
| ~ f1($true)
| ~ x )
& ( epred4_0
| f1($true)
| ~ x
| x
| ~ f1($false) )
& ( epred4_0
| f1($true)
| ~ x
| x
| ~ x )
& ( epred4_0
| x
| f1($false)
| f1($false) )
& ( epred4_0
| x
| f1($false)
| ~ f1($true)
| ~ f1($false) )
& ( epred4_0
| x
| f1($false)
| ~ f1($true)
| ~ x )
& ( epred4_0
| x
| f1($false)
| x
| ~ f1($false) )
& ( epred4_0
| x
| f1($false)
| x
| ~ x )
& ( epred4_0
| x
| ~ x
| f1($false) )
& ( epred4_0
| x
| ~ x
| ~ f1($true)
| ~ f1($false) )
& ( epred4_0
| x
| ~ x
| ~ f1($true)
| ~ x )
& ( epred4_0
| x
| ~ x
| x
| ~ f1($false) )
& ( epred4_0
| x
| ~ x
| x
| ~ x )
& ( ~ epred4_0
| ~ f1($false)
| f1($false)
| x )
& ( ~ epred4_0
| ~ f1($false)
| f1($true)
| ~ x )
& ( ~ epred4_0
| ~ f1($true)
| ~ f1($false)
| x )
& ( ~ epred4_0
| ~ f1($true)
| ~ f1($true)
| ~ x ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])]) ).
fof(c_0_18,plain,
( epred6_0
<=> ( ( f0($false)
| ( ( f1($false)
| epred5_0 )
& ( f1($true)
| epred4_0 ) ) )
& ( f0($true)
| ( ( ~ f1($false)
| epred5_0 )
& ( ~ f1($true)
| epred4_0 ) ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_10,c_0_12]),c_0_6]),c_0_12]),c_0_6]) ).
cnf(c_0_19,plain,
( ~ epred3_0
| ~ f0($false)
| f0($true)
| epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_20,plain,
( ~ f0($true)
| ~ epred3_0
| epred2_0 ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
fof(c_0_21,negated_conjecture,
( ( epred6_0
| epred3_0 )
& ( ~ epred6_0
| ~ epred3_0 ) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])]) ).
cnf(c_0_22,plain,
( ~ epred5_0
| ~ x
| f1($false)
| f1($true) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_23,plain,
( ~ epred5_0
| f1($false)
| x ),
inference(cn,[status(thm)],[c_0_16]) ).
cnf(c_0_24,plain,
( epred4_0
| x
| f1($false)
| f1($false) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_25,plain,
( ~ f1($true)
| ~ f1($true)
| ~ x
| epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_26,plain,
( ( epred1_0
| f0($true)
| f0($false) )
& ( epred1_0
| f0($true)
| ~ f1($true)
| ~ f1($false) )
& ( epred1_0
| f0($true)
| ~ f1($true)
| ~ x )
& ( epred1_0
| f0($true)
| x
| ~ f1($false) )
& ( epred1_0
| f0($true)
| x
| ~ x )
& ( epred1_0
| f1($true)
| f1($false)
| f0($false) )
& ( epred1_0
| f1($true)
| f1($false)
| ~ f1($true)
| ~ f1($false) )
& ( epred1_0
| f1($true)
| f1($false)
| ~ f1($true)
| ~ x )
& ( epred1_0
| f1($true)
| f1($false)
| x
| ~ f1($false) )
& ( epred1_0
| f1($true)
| f1($false)
| x
| ~ x )
& ( epred1_0
| f1($true)
| ~ x
| f0($false) )
& ( epred1_0
| f1($true)
| ~ x
| ~ f1($true)
| ~ f1($false) )
& ( epred1_0
| f1($true)
| ~ x
| ~ f1($true)
| ~ x )
& ( epred1_0
| f1($true)
| ~ x
| x
| ~ f1($false) )
& ( epred1_0
| f1($true)
| ~ x
| x
| ~ x )
& ( epred1_0
| x
| f1($false)
| f0($false) )
& ( epred1_0
| x
| f1($false)
| ~ f1($true)
| ~ f1($false) )
& ( epred1_0
| x
| f1($false)
| ~ f1($true)
| ~ x )
& ( epred1_0
| x
| f1($false)
| x
| ~ f1($false) )
& ( epred1_0
| x
| f1($false)
| x
| ~ x )
& ( epred1_0
| x
| ~ x
| f0($false) )
& ( epred1_0
| x
| ~ x
| ~ f1($true)
| ~ f1($false) )
& ( epred1_0
| x
| ~ x
| ~ f1($true)
| ~ x )
& ( epred1_0
| x
| ~ x
| x
| ~ f1($false) )
& ( epred1_0
| x
| ~ x
| x
| ~ x )
& ( ~ epred1_0
| ~ f0($false)
| f1($false)
| x )
& ( ~ epred1_0
| ~ f0($false)
| f1($true)
| ~ x )
& ( ~ epred1_0
| ~ f0($true)
| ~ f1($false)
| x )
& ( ~ epred1_0
| ~ f0($true)
| ~ f1($true)
| ~ x ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])]) ).
fof(c_0_27,plain,
( ( epred6_0
| ~ f0($true)
| ~ f0($false) )
& ( epred6_0
| ~ f0($true)
| ~ f1($true)
| ~ f1($false) )
& ( epred6_0
| ~ f0($true)
| ~ f1($true)
| ~ epred5_0 )
& ( epred6_0
| ~ f0($true)
| ~ epred4_0
| ~ f1($false) )
& ( epred6_0
| ~ f0($true)
| ~ epred4_0
| ~ epred5_0 )
& ( epred6_0
| f1($true)
| f1($false)
| ~ f0($false) )
& ( epred6_0
| f1($true)
| f1($false)
| ~ f1($true)
| ~ f1($false) )
& ( epred6_0
| f1($true)
| f1($false)
| ~ f1($true)
| ~ epred5_0 )
& ( epred6_0
| f1($true)
| f1($false)
| ~ epred4_0
| ~ f1($false) )
& ( epred6_0
| f1($true)
| f1($false)
| ~ epred4_0
| ~ epred5_0 )
& ( epred6_0
| f1($true)
| ~ epred5_0
| ~ f0($false) )
& ( epred6_0
| f1($true)
| ~ epred5_0
| ~ f1($true)
| ~ f1($false) )
& ( epred6_0
| f1($true)
| ~ epred5_0
| ~ f1($true)
| ~ epred5_0 )
& ( epred6_0
| f1($true)
| ~ epred5_0
| ~ epred4_0
| ~ f1($false) )
& ( epred6_0
| f1($true)
| ~ epred5_0
| ~ epred4_0
| ~ epred5_0 )
& ( epred6_0
| ~ epred4_0
| f1($false)
| ~ f0($false) )
& ( epred6_0
| ~ epred4_0
| f1($false)
| ~ f1($true)
| ~ f1($false) )
& ( epred6_0
| ~ epred4_0
| f1($false)
| ~ f1($true)
| ~ epred5_0 )
& ( epred6_0
| ~ epred4_0
| f1($false)
| ~ epred4_0
| ~ f1($false) )
& ( epred6_0
| ~ epred4_0
| f1($false)
| ~ epred4_0
| ~ epred5_0 )
& ( epred6_0
| ~ epred4_0
| ~ epred5_0
| ~ f0($false) )
& ( epred6_0
| ~ epred4_0
| ~ epred5_0
| ~ f1($true)
| ~ f1($false) )
& ( epred6_0
| ~ epred4_0
| ~ epred5_0
| ~ f1($true)
| ~ epred5_0 )
& ( epred6_0
| ~ epred4_0
| ~ epred5_0
| ~ epred4_0
| ~ f1($false) )
& ( epred6_0
| ~ epred4_0
| ~ epred5_0
| ~ epred4_0
| ~ epred5_0 )
& ( ~ epred6_0
| f0($false)
| f1($false)
| epred5_0 )
& ( ~ epred6_0
| f0($false)
| f1($true)
| epred4_0 )
& ( ~ epred6_0
| f0($true)
| ~ f1($false)
| epred5_0 )
& ( ~ epred6_0
| f0($true)
| ~ f1($true)
| epred4_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])]) ).
cnf(c_0_28,plain,
( ~ epred3_0
| epred2_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_19,c_0_14]),c_0_20]) ).
cnf(c_0_29,negated_conjecture,
( epred6_0
| epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_30,plain,
( ~ epred4_0
| ~ f1($true)
| ~ f1($true)
| ~ x ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_31,plain,
( ~ epred5_0
| ~ f1($false)
| f1($true)
| x ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_32,plain,
( ~ epred5_0
| f1($true)
| f1($false) ),
inference(csr,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_33,plain,
( ~ f1($true)
| ~ f1($false)
| epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_34,plain,
( f1($false)
| epred4_0
| x ),
inference(cn,[status(thm)],[c_0_24]) ).
cnf(c_0_35,plain,
( ~ f1($true)
| ~ x
| epred5_0 ),
inference(cn,[status(thm)],[c_0_25]) ).
cnf(c_0_36,plain,
( ~ f1($false)
| epred4_0
| f1($true)
| x ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_37,plain,
( epred4_0
| f1($true)
| f1($false) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_38,plain,
( ~ epred1_0
| ~ f0($false)
| f1($false)
| x ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_39,plain,
( ~ epred2_0
| f0($false)
| f1($false)
| x ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_40,plain,
( ~ epred4_0
| ~ f0($false)
| epred6_0
| f1($false) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_41,negated_conjecture,
( epred2_0
| epred6_0 ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_42,plain,
( ~ epred4_0
| ~ f1($true)
| ~ f1($false)
| x ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_43,plain,
( ~ f1($true)
| ~ epred4_0
| ~ x ),
inference(cn,[status(thm)],[c_0_30]) ).
cnf(c_0_44,plain,
( ~ epred5_0
| ~ f0($false)
| epred6_0
| f1($true) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_45,plain,
( ~ epred2_0
| ~ x
| f0($false)
| f1($true) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_46,plain,
( ~ epred5_0
| x
| f1($true) ),
inference(csr,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_47,plain,
( ~ x
| ~ f1($false)
| epred5_0
| f1($true) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_48,plain,
( ~ f1($true)
| epred4_0
| epred5_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35]) ).
cnf(c_0_49,plain,
( x
| f1($true)
| epred4_0 ),
inference(csr,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_50,plain,
( ~ epred1_0
| ~ f0($true)
| ~ f1($false)
| x ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_51,plain,
( ~ epred2_0
| ~ f1($false)
| f0($true)
| x ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_52,plain,
( ~ epred1_0
| ~ epred2_0
| x
| f1($false) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_53,plain,
( ~ epred4_0
| ~ f1($false)
| ~ x
| f1($true) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_54,plain,
( ~ f0($false)
| epred6_0
| f1($true)
| f1($false) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_55,plain,
( epred1_0
| f1($true)
| f1($false)
| f0($false) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_56,plain,
( ~ f0($true)
| ~ epred4_0
| ~ f1($false)
| epred6_0 ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_57,plain,
( x
| f1($false)
| epred6_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_39]),c_0_41]),c_0_34]) ).
cnf(c_0_58,plain,
( ~ f1($false)
| ~ f1($true)
| ~ epred4_0 ),
inference(csr,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_59,plain,
( ~ f0($true)
| ~ f1($true)
| ~ epred5_0
| epred6_0 ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_60,plain,
( ~ epred2_0
| ~ f1($true)
| ~ x
| f0($true) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_61,plain,
( ~ epred5_0
| f1($true)
| epred6_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_46]),c_0_41]) ).
cnf(c_0_62,plain,
( ~ x
| ~ f1($false)
| epred5_0 ),
inference(csr,[status(thm)],[c_0_47,c_0_35]) ).
cnf(c_0_63,plain,
( x
| epred4_0
| epred5_0 ),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_64,plain,
( ~ epred1_0
| ~ f0($true)
| ~ f1($true)
| ~ x ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_65,plain,
( ~ epred1_0
| ~ epred2_0
| x ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_52]) ).
cnf(c_0_66,plain,
( ~ epred1_0
| ~ f0($false)
| ~ x
| f1($true) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_67,plain,
( ~ x
| ~ f1($false)
| ~ epred4_0 ),
inference(csr,[status(thm)],[c_0_53,c_0_43]) ).
cnf(c_0_68,plain,
( f1($false)
| f1($true)
| epred1_0
| epred6_0 ),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_69,plain,
( ~ epred4_0
| x
| epred6_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_51]),c_0_57]),c_0_41]) ).
cnf(c_0_70,plain,
( ~ f1($true)
| ~ epred4_0
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_57]),c_0_43]) ).
cnf(c_0_71,plain,
( ~ x
| ~ epred5_0
| epred6_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_61]),c_0_41]) ).
cnf(c_0_72,plain,
( epred4_0
| epred5_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_37]),c_0_63]),c_0_48]) ).
cnf(c_0_73,plain,
( ~ f1($true)
| ~ epred1_0
| ~ epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_60]),c_0_65]) ).
cnf(c_0_74,plain,
( ~ x
| ~ epred1_0
| ~ epred2_0
| f1($true) ),
inference(spm,[status(thm)],[c_0_66,c_0_45]) ).
cnf(c_0_75,plain,
( ~ epred4_0
| epred1_0
| epred6_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_69]),c_0_70]) ).
cnf(c_0_76,plain,
( ~ x
| epred4_0
| epred6_0 ),
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_77,plain,
( ~ f0($true)
| ~ f1($true)
| ~ f1($false)
| epred6_0 ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_78,plain,
( ~ f1($true)
| ~ f1($false)
| epred1_0
| f0($true) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_79,plain,
( ~ epred1_0
| ~ epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_65]) ).
cnf(c_0_80,plain,
( ~ x
| epred1_0
| epred6_0 ),
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
cnf(c_0_81,plain,
( ~ f1($false)
| ~ f1($true)
| epred1_0
| epred6_0 ),
inference(spm,[status(thm)],[c_0_77,c_0_78]) ).
cnf(c_0_82,plain,
( ~ x
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_41]) ).
cnf(c_0_83,plain,
( ~ f0($false)
| epred2_0
| x
| f1($false) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_84,plain,
( epred1_0
| x
| f1($false)
| f0($false) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_85,plain,
( ~ epred2_0
| ~ f0($false)
| epred3_0
| f0($true) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_86,plain,
( ~ f0($true)
| ~ f0($false)
| epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_87,plain,
( ~ f0($true)
| ~ f0($true)
| ~ epred2_0
| epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_88,plain,
( ~ epred1_0
| ~ epred2_0
| ~ epred1_0
| ~ epred2_0
| epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_89,plain,
( ~ f1($true)
| epred1_0
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_57]),c_0_82]) ).
cnf(c_0_90,plain,
( ~ f0($true)
| ~ f1($false)
| epred2_0
| x ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_91,plain,
( ~ f1($false)
| epred1_0
| f0($true)
| x ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_92,plain,
( x
| f1($false)
| epred1_0
| epred2_0 ),
inference(spm,[status(thm)],[c_0_83,c_0_84]) ).
cnf(c_0_93,plain,
( ~ f0($false)
| ~ epred2_0
| epred3_0 ),
inference(csr,[status(thm)],[c_0_85,c_0_86]) ).
cnf(c_0_94,plain,
( epred1_0
| f0($true)
| f0($false) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_95,plain,
( ~ f0($true)
| ~ epred2_0
| epred3_0 ),
inference(cn,[status(thm)],[c_0_87]) ).
cnf(c_0_96,plain,
( ~ epred2_0
| ~ epred1_0
| epred3_0 ),
inference(cn,[status(thm)],[c_0_88]) ).
cnf(c_0_97,plain,
( ~ epred5_0
| epred1_0
| epred6_0 ),
inference(spm,[status(thm)],[c_0_89,c_0_61]) ).
cnf(c_0_98,plain,
( ~ f0($true)
| ~ f1($true)
| ~ x
| epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_99,plain,
( ~ f1($true)
| ~ x
| epred1_0
| f0($true) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_100,plain,
( x
| epred1_0
| epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_91]),c_0_92]) ).
cnf(c_0_101,plain,
( ~ x
| ~ f0($false)
| epred2_0
| f1($true) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_102,plain,
( ~ x
| epred1_0
| f1($true)
| f0($false) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_103,negated_conjecture,
( ~ epred6_0
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_104,plain,
( ~ epred2_0
| epred3_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_94]),c_0_95]),c_0_96]) ).
cnf(c_0_105,plain,
( epred1_0
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_72]),c_0_75]) ).
cnf(c_0_106,plain,
( ~ f1($true)
| epred1_0
| epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_100]) ).
cnf(c_0_107,plain,
( ~ x
| f1($true)
| epred1_0
| epred2_0 ),
inference(spm,[status(thm)],[c_0_101,c_0_102]) ).
cnf(c_0_108,negated_conjecture,
( ~ epred2_0
| ~ epred6_0 ),
inference(spm,[status(thm)],[c_0_103,c_0_104]) ).
cnf(c_0_109,plain,
epred6_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_105]),c_0_41]) ).
cnf(c_0_110,plain,
( ~ epred6_0
| f0($false)
| f1($false)
| epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_111,plain,
( ~ epred6_0
| f0($false)
| f1($true)
| epred4_0 ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_112,plain,
( epred1_0
| epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_100]) ).
cnf(c_0_113,negated_conjecture,
~ epred2_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_108,c_0_109])]) ).
cnf(c_0_114,plain,
( ~ epred4_0
| ~ epred5_0
| f1($true) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_32]),c_0_46]) ).
cnf(c_0_115,plain,
( ~ epred6_0
| ~ f1($false)
| f0($true)
| epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_116,plain,
( x
| f1($false)
| epred2_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_110]),c_0_41]),c_0_23]) ).
cnf(c_0_117,plain,
( ~ epred1_0
| ~ epred6_0
| f1($true)
| epred4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_111]),c_0_49]) ).
cnf(c_0_118,plain,
epred1_0,
inference(sr,[status(thm)],[c_0_112,c_0_113]) ).
cnf(c_0_119,plain,
( ~ epred6_0
| ~ f1($true)
| f0($true)
| epred4_0 ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_120,plain,
( ~ x
| ~ epred4_0
| ~ epred5_0 ),
inference(spm,[status(thm)],[c_0_43,c_0_114]) ).
cnf(c_0_121,plain,
( x
| epred2_0
| epred5_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_115]),c_0_116]),c_0_41]) ).
cnf(c_0_122,plain,
( f1($true)
| epred4_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_117,c_0_109])]),c_0_118])]) ).
cnf(c_0_123,plain,
( ~ x
| ~ epred1_0
| epred4_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_119]),c_0_117]),c_0_76]) ).
cnf(c_0_124,plain,
( ~ epred4_0
| ~ epred5_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_23]),c_0_114]),c_0_120]) ).
cnf(c_0_125,plain,
( x
| epred5_0 ),
inference(sr,[status(thm)],[c_0_121,c_0_113]) ).
cnf(c_0_126,plain,
( f0($true)
| epred4_0 ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_119,c_0_109])]),c_0_122]) ).
cnf(c_0_127,plain,
( x
| f1($false) ),
inference(sr,[status(thm)],[c_0_116,c_0_113]) ).
cnf(c_0_128,plain,
( ~ x
| epred4_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_123,c_0_118])]) ).
cnf(c_0_129,plain,
( ~ epred4_0
| x ),
inference(spm,[status(thm)],[c_0_124,c_0_125]) ).
cnf(c_0_130,plain,
epred4_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_126]),c_0_113]),c_0_127]),c_0_128]) ).
cnf(c_0_131,plain,
( ~ f1($true)
| ~ epred4_0
| epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_116]),c_0_43]) ).
cnf(c_0_132,plain,
x,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_129,c_0_130])]) ).
cnf(c_0_133,plain,
~ f1($true),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_131,c_0_130])]),c_0_113]) ).
cnf(c_0_134,plain,
( f0($false)
| f1($false)
| epred5_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_110,c_0_109])]) ).
cnf(c_0_135,plain,
~ epred5_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_124,c_0_130])]) ).
cnf(c_0_136,plain,
~ f1($false),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_67,c_0_130])]),c_0_132])]) ).
cnf(c_0_137,plain,
~ f0($false),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_101,c_0_132])]),c_0_113]),c_0_133]) ).
cnf(c_0_138,plain,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_134,c_0_135]),c_0_136]),c_0_137]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO500_8.002 : TPTP v9.3.1. Released v8.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n014.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 11:53:35 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.44 % Version: 3.5.1
% 0.10/0.44 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.10/0.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.10/0.44 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.10/0.44 % Starting new_bool_3 with 300s (1) cores
% 0.10/0.44 % Starting new_bool_1 with 300s (1) cores
% 0.10/0.44 % Starting sh5l with 300s (1) cores
% 0.10/0.44 % new_bool_1 with pid 4001951 completed with status 0
% 0.10/0.44 % Result found by new_bool_1
% 0.10/0.44 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.10/0.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.10/0.44 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.10/0.44 % Starting new_bool_3 with 300s (1) cores
% 0.10/0.44 % Starting new_bool_1 with 300s (1) cores
% 0.10/0.44 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.10/0.44 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.10/0.44 % Search class: FGHNF-FFMM00-SFFFFFNN
% 0.10/0.44 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.10/0.44 % Starting SubtermCWHack with 28s (1) cores
% 0.10/0.44 % SubtermCWHack with pid 4001957 completed with status 0
% 0.10/0.44 % Result found by SubtermCWHack
% 0.10/0.44 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.10/0.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.10/0.44 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.10/0.44 % Starting new_bool_3 with 300s (1) cores
% 0.10/0.44 % Starting new_bool_1 with 300s (1) cores
% 0.10/0.44 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.10/0.44 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.10/0.44 % Search class: FGHNF-FFMM00-SFFFFFNN
% 0.10/0.44 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.10/0.44 % Starting SubtermCWHack with 28s (1) cores
% 0.10/0.44 % Preprocessing time : 0.002 s
% 0.10/0.44
% 0.10/0.44 % Proof found!
% 0.10/0.44 % SZS status Theorem
% 0.10/0.44 % SZS output start CNFRefutation
% See solution above
% 0.10/0.45 % Parsed axioms : 4
% 0.10/0.45 % Removed by relevancy pruning/SinE : 3
% 0.10/0.45 % Initial clauses : 176
% 0.10/0.45 % Removed in clause preprocessing : 95
% 0.10/0.45 % Initial clauses in saturation : 81
% 0.10/0.45 % Processed clauses : 212
% 0.10/0.45 % ...of these trivial : 1
% 0.10/0.45 % ...subsumed : 72
% 0.10/0.45 % ...remaining for further processing : 138
% 0.10/0.45 % Other redundant clauses eliminated : 0
% 0.10/0.45 % Clauses deleted for lack of memory : 0
% 0.10/0.45 % Backward-subsumed : 71
% 0.10/0.45 % Backward-rewritten : 52
% 0.10/0.45 % Generated clauses : 354
% 0.10/0.45 % ...of the previous two non-redundant : 233
% 0.10/0.45 % ...aggressively subsumed : 0
% 0.10/0.45 % Contextual simplify-reflections : 58
% 0.10/0.45 % Paramodulations : 349
% 0.10/0.45 % Factorizations : 0
% 0.10/0.45 % NegExts : 0
% 0.10/0.45 % Equation resolutions : 0
% 0.10/0.45 % Disequality decompositions : 0
% 0.10/0.45 % Total rewrite steps : 59
% 0.10/0.45 % ...of those cached : 55
% 0.10/0.45 % Propositional unsat checks : 0
% 0.10/0.45 % Propositional check models : 0
% 0.10/0.45 % Propositional check unsatisfiable : 0
% 0.10/0.45 % Propositional clauses : 0
% 0.10/0.45 % Propositional clauses after purity: 0
% 0.10/0.45 % Propositional unsat core size : 0
% 0.10/0.45 % Propositional preprocessing time : 0.000
% 0.10/0.45 % Propositional encoding time : 0.000
% 0.10/0.45 % Propositional solver time : 0.000
% 0.10/0.45 % Success case prop preproc time : 0.000
% 0.10/0.45 % Success case prop encoding time : 0.000
% 0.10/0.45 % Success case prop solver time : 0.000
% 0.10/0.45 % Current number of processed clauses : 10
% 0.10/0.45 % Positive orientable unit clauses : 4
% 0.10/0.45 % Positive unorientable unit clauses: 0
% 0.10/0.45 % Negative unit clauses : 6
% 0.10/0.45 % Non-unit-clauses : 0
% 0.10/0.45 % Current number of unprocessed clauses: 10
% 0.10/0.45 % ...number of literals in the above : 32
% 0.10/0.45 % Current number of archived formulas : 0
% 0.10/0.45 % Current number of archived clauses : 128
% 0.10/0.45 % Clause-clause subsumption calls (NU) : 2421
% 0.10/0.45 % Rec. Clause-clause subsumption calls : 1207
% 0.10/0.45 % Non-unit clause-clause subsumptions : 179
% 0.10/0.45 % Unit Clause-clause subsumption calls : 86
% 0.10/0.45 % Rewrite failures with RHS unbound : 0
% 0.10/0.45 % BW rewrite match attempts : 4
% 0.10/0.45 % BW rewrite match successes : 4
% 0.10/0.45 % Condensation attempts : 0
% 0.10/0.45 % Condensation successes : 0
% 0.10/0.45 % Termbank termtop insertions : 8458
% 0.10/0.45 % Search garbage collected termcells : 1132
% 0.10/0.45
% 0.10/0.45 % -------------------------------------------------
% 0.10/0.45 % User time : 0.017 s
% 0.10/0.45 % System time : 0.004 s
% 0.10/0.45 % Total time : 0.021 s
% 0.10/0.45 % Maximum resident set size: 3884 pages
% 0.10/0.45
% 0.10/0.45 % -------------------------------------------------
% 0.10/0.45 % User time : 0.020 s
% 0.10/0.45 % System time : 0.008 s
% 0.10/0.45 % Total time : 0.027 s
% 0.10/0.45 % Maximum resident set size: 4608 pages
% 0.10/0.45 % E exiting
%------------------------------------------------------------------------------