%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYO040_8 : 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 : n008.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 03:45:22 PM UTC 2026
% Result : Theorem 0.12s 0.45s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 7
% Syntax : Number of formulae : 66 ( 7 unt; 0 def)
% Number of atoms : 1011 ( 30 equ)
% Maximal formula atoms : 118 ( 15 avg)
% Number of connectives : 1352 ( 407 ~; 730 |; 203 &)
% ( 6 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 30 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 11 ( 8 usr; 9 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 0 con; 1-1 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
tff(decl_23,type,
f: $o > $o ).
tff(decl_24,type,
h: $o > $i ).
tff(decl_25,type,
x: $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: $o ).
fof(2,conjecture,
h(f(f(f(x)))) = h(f(x)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',2) ).
fof(c_0_1,plain,
( epred6_0
<=> ( ( ( h($false) = h($false)
| ( ( f($false)
| x )
& ( f($true)
| ~ x ) ) )
& ( h($false) = h($true)
| ( ( ~ f($false)
| x )
& ( ~ f($true)
| ~ x ) ) ) )
| ( ( f($false)
| ( ( f($false)
| ( ( f($false)
| x )
& ( f($true)
| ~ x ) ) )
& ( f($true)
| ( ( ~ f($false)
| x )
& ( ~ f($true)
| ~ x ) ) ) ) )
& ( f($true)
| ( ( ~ f($false)
| ( ( f($false)
| x )
& ( f($true)
| ~ x ) ) )
& ( ~ f($true)
| ( ( ~ f($false)
| x )
& ( ~ f($true)
| ~ x ) ) ) ) ) ) ) ),
introduced(definition) ).
fof(c_0_2,plain,
( epred4_0
<=> ( f($true)
| ( ( ~ f($false)
| ( ( f($false)
| x )
& ( f($true)
| ~ x ) ) )
& ( ~ f($true)
| ( ( ~ f($false)
| x )
& ( ~ f($true)
| ~ x ) ) ) ) ) ),
introduced(definition) ).
fof(c_0_3,plain,
( epred5_0
<=> ( f($false)
| ( ( f($false)
| ( ( f($false)
| x )
& ( f($true)
| ~ x ) ) )
& ( f($true)
| ( ( ~ f($false)
| x )
& ( ~ f($true)
| ~ x ) ) ) ) ) ),
introduced(definition) ).
fof(c_0_4,plain,
( ( ( ( h($false) = h($false)
| ( ( f($false)
| x )
& ( f($true)
| ~ x ) ) )
& ( h($false) = h($true)
| ( ( ~ f($false)
| x )
& ( ~ f($true)
| ~ x ) ) ) )
| ( epred5_0
& epred4_0 ) )
=> epred6_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_1]),c_0_2]),c_0_3]) ).
fof(c_0_5,plain,
( epred3_0
<=> ( ( ( h($true) = h($false)
| ( ( f($false)
| x )
& ( f($true)
| ~ x ) ) )
& ( h($true) = h($true)
| ( ( ~ f($false)
| x )
& ( ~ f($true)
| ~ x ) ) ) )
| ( ( ~ f($false)
| ( ( f($false)
| ( ( f($false)
| x )
& ( f($true)
| ~ x ) ) )
& ( f($true)
| ( ( ~ f($false)
| x )
& ( ~ f($true)
| ~ x ) ) ) ) )
& ( ~ f($true)
| ( ( ~ f($false)
| ( ( f($false)
| x )
& ( f($true)
| ~ x ) ) )
& ( ~ f($true)
| ( ( ~ f($false)
| x )
& ( ~ f($true)
| ~ x ) ) ) ) ) ) ) ),
introduced(definition) ).
fof(c_0_6,plain,
( epred1_0
<=> ( ~ f($true)
| ( ( ~ f($false)
| ( ( f($false)
| x )
& ( f($true)
| ~ x ) ) )
& ( ~ f($true)
| ( ( ~ f($false)
| x )
& ( ~ f($true)
| ~ x ) ) ) ) ) ),
introduced(definition) ).
fof(c_0_7,plain,
( epred2_0
<=> ( ~ f($false)
| ( ( f($false)
| ( ( f($false)
| x )
& ( f($true)
| ~ x ) ) )
& ( f($true)
| ( ( ~ f($false)
| x )
& ( ~ f($true)
| ~ x ) ) ) ) ) ),
introduced(definition) ).
fof(c_0_8,plain,
( ( f($false)
| ( ( f($false)
| ( ( f($false)
| x )
& ( f($true)
| ~ x ) ) )
& ( f($true)
| ( ( ~ f($false)
| x )
& ( ~ f($true)
| ~ x ) ) ) ) )
=> epred5_0 ),
inference(split_equiv,[status(thm)],[c_0_3]) ).
fof(c_0_9,plain,
( ( epred6_0
| h($false) != h($true)
| h($false) != h($false) )
& ( epred6_0
| h($false) != h($true)
| ~ f($true)
| ~ f($false) )
& ( epred6_0
| h($false) != h($true)
| ~ f($true)
| ~ x )
& ( epred6_0
| h($false) != h($true)
| x
| ~ f($false) )
& ( epred6_0
| h($false) != h($true)
| x
| ~ x )
& ( epred6_0
| f($true)
| f($false)
| h($false) != h($false) )
& ( epred6_0
| f($true)
| f($false)
| ~ f($true)
| ~ f($false) )
& ( epred6_0
| f($true)
| f($false)
| ~ f($true)
| ~ x )
& ( epred6_0
| f($true)
| f($false)
| x
| ~ f($false) )
& ( epred6_0
| f($true)
| f($false)
| x
| ~ x )
& ( epred6_0
| f($true)
| ~ x
| h($false) != h($false) )
& ( epred6_0
| f($true)
| ~ x
| ~ f($true)
| ~ f($false) )
& ( epred6_0
| f($true)
| ~ x
| ~ f($true)
| ~ x )
& ( epred6_0
| f($true)
| ~ x
| x
| ~ f($false) )
& ( epred6_0
| f($true)
| ~ x
| x
| ~ x )
& ( epred6_0
| x
| f($false)
| h($false) != h($false) )
& ( epred6_0
| x
| f($false)
| ~ f($true)
| ~ f($false) )
& ( epred6_0
| x
| f($false)
| ~ f($true)
| ~ x )
& ( epred6_0
| x
| f($false)
| x
| ~ f($false) )
& ( epred6_0
| x
| f($false)
| x
| ~ x )
& ( epred6_0
| x
| ~ x
| h($false) != h($false) )
& ( epred6_0
| x
| ~ x
| ~ f($true)
| ~ f($false) )
& ( epred6_0
| x
| ~ x
| ~ f($true)
| ~ x )
& ( epred6_0
| x
| ~ x
| x
| ~ f($false) )
& ( epred6_0
| x
| ~ x
| x
| ~ x )
& ( epred6_0
| ~ epred5_0
| ~ epred4_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])]) ).
fof(c_0_10,plain,
( ( ( ( h($true) = h($false)
| ( ( f($false)
| x )
& ( f($true)
| ~ x ) ) )
& ( h($true) = h($true)
| ( ( ~ f($false)
| x )
& ( ~ f($true)
| ~ x ) ) ) )
| ( epred2_0
& epred1_0 ) )
=> epred3_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_5]),c_0_6]),c_0_7]) ).
fof(c_0_11,plain,
( ( ~ f($true)
| ( ( ~ f($false)
| ( ( f($false)
| x )
& ( f($true)
| ~ x ) ) )
& ( ~ f($true)
| ( ( ~ f($false)
| x )
& ( ~ f($true)
| ~ x ) ) ) ) )
=> epred1_0 ),
inference(split_equiv,[status(thm)],[c_0_6]) ).
fof(c_0_12,plain,
( ( epred5_0
| ~ f($false) )
& ( epred5_0
| ~ f($true)
| ~ f($false) )
& ( epred5_0
| ~ f($true)
| ~ f($true)
| ~ f($false) )
& ( epred5_0
| ~ f($true)
| ~ f($true)
| ~ x )
& ( epred5_0
| ~ f($true)
| x
| ~ f($false) )
& ( epred5_0
| ~ f($true)
| x
| ~ x )
& ( epred5_0
| f($true)
| f($false)
| ~ f($false) )
& ( epred5_0
| f($true)
| f($false)
| ~ f($true)
| ~ f($false) )
& ( epred5_0
| f($true)
| f($false)
| ~ f($true)
| ~ x )
& ( epred5_0
| f($true)
| f($false)
| x
| ~ f($false) )
& ( epred5_0
| f($true)
| f($false)
| x
| ~ x )
& ( epred5_0
| f($true)
| ~ x
| ~ f($false) )
& ( epred5_0
| f($true)
| ~ x
| ~ f($true)
| ~ f($false) )
& ( epred5_0
| f($true)
| ~ x
| ~ f($true)
| ~ x )
& ( epred5_0
| f($true)
| ~ x
| x
| ~ f($false) )
& ( epred5_0
| f($true)
| ~ x
| x
| ~ x )
& ( epred5_0
| x
| f($false)
| ~ f($false) )
& ( epred5_0
| x
| f($false)
| ~ f($true)
| ~ f($false) )
& ( epred5_0
| x
| f($false)
| ~ f($true)
| ~ x )
& ( epred5_0
| x
| f($false)
| x
| ~ f($false) )
& ( epred5_0
| x
| f($false)
| x
| ~ x )
& ( epred5_0
| x
| ~ x
| ~ f($false) )
& ( epred5_0
| x
| ~ x
| ~ f($true)
| ~ f($false) )
& ( epred5_0
| x
| ~ x
| ~ f($true)
| ~ x )
& ( epred5_0
| x
| ~ x
| x
| ~ f($false) )
& ( epred5_0
| x
| ~ x
| x
| ~ x ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])]) ).
cnf(c_0_13,plain,
( $false
| epred6_0
| x
| f($false) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_14,plain,
( ( epred3_0
| h($true) != h($true)
| h($true) != h($false) )
& ( epred3_0
| h($true) != h($true)
| ~ f($true)
| ~ f($false) )
& ( epred3_0
| h($true) != h($true)
| ~ f($true)
| ~ x )
& ( epred3_0
| h($true) != h($true)
| x
| ~ f($false) )
& ( epred3_0
| h($true) != h($true)
| x
| ~ x )
& ( epred3_0
| f($true)
| f($false)
| h($true) != h($false) )
& ( epred3_0
| f($true)
| f($false)
| ~ f($true)
| ~ f($false) )
& ( epred3_0
| f($true)
| f($false)
| ~ f($true)
| ~ x )
& ( epred3_0
| f($true)
| f($false)
| x
| ~ f($false) )
& ( epred3_0
| f($true)
| f($false)
| x
| ~ x )
& ( epred3_0
| f($true)
| ~ x
| h($true) != h($false) )
& ( epred3_0
| f($true)
| ~ x
| ~ f($true)
| ~ f($false) )
& ( epred3_0
| f($true)
| ~ x
| ~ f($true)
| ~ x )
& ( epred3_0
| f($true)
| ~ x
| x
| ~ f($false) )
& ( epred3_0
| f($true)
| ~ x
| x
| ~ x )
& ( epred3_0
| x
| f($false)
| h($true) != h($false) )
& ( epred3_0
| x
| f($false)
| ~ f($true)
| ~ f($false) )
& ( epred3_0
| x
| f($false)
| ~ f($true)
| ~ x )
& ( epred3_0
| x
| f($false)
| x
| ~ f($false) )
& ( epred3_0
| x
| f($false)
| x
| ~ x )
& ( epred3_0
| x
| ~ x
| h($true) != h($false) )
& ( epred3_0
| x
| ~ x
| ~ f($true)
| ~ f($false) )
& ( epred3_0
| x
| ~ x
| ~ f($true)
| ~ x )
& ( epred3_0
| x
| ~ x
| x
| ~ f($false) )
& ( epred3_0
| x
| ~ x
| x
| ~ x )
& ( epred3_0
| ~ epred2_0
| ~ epred1_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])]) ).
fof(c_0_15,plain,
( ( epred1_0
| f($true) )
& ( epred1_0
| f($true)
| f($false) )
& ( epred1_0
| f($true)
| ~ f($true)
| ~ f($false) )
& ( epred1_0
| f($true)
| ~ f($true)
| ~ x )
& ( epred1_0
| f($true)
| x
| ~ f($false) )
& ( epred1_0
| f($true)
| x
| ~ x )
& ( epred1_0
| f($true)
| f($false)
| f($false) )
& ( epred1_0
| f($true)
| f($false)
| ~ f($true)
| ~ f($false) )
& ( epred1_0
| f($true)
| f($false)
| ~ f($true)
| ~ x )
& ( epred1_0
| f($true)
| f($false)
| x
| ~ f($false) )
& ( epred1_0
| f($true)
| f($false)
| x
| ~ x )
& ( epred1_0
| f($true)
| ~ x
| f($false) )
& ( epred1_0
| f($true)
| ~ x
| ~ f($true)
| ~ f($false) )
& ( epred1_0
| f($true)
| ~ x
| ~ f($true)
| ~ x )
& ( epred1_0
| f($true)
| ~ x
| x
| ~ f($false) )
& ( epred1_0
| f($true)
| ~ x
| x
| ~ x )
& ( epred1_0
| x
| f($false)
| f($false) )
& ( epred1_0
| x
| f($false)
| ~ f($true)
| ~ f($false) )
& ( epred1_0
| x
| f($false)
| ~ f($true)
| ~ x )
& ( epred1_0
| x
| f($false)
| x
| ~ f($false) )
& ( epred1_0
| x
| f($false)
| x
| ~ x )
& ( epred1_0
| x
| ~ x
| f($false) )
& ( epred1_0
| x
| ~ x
| ~ f($true)
| ~ f($false) )
& ( epred1_0
| x
| ~ x
| ~ f($true)
| ~ x )
& ( epred1_0
| x
| ~ x
| x
| ~ f($false) )
& ( epred1_0
| x
| ~ x
| x
| ~ x ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])]) ).
fof(c_0_16,plain,
( ( ~ f($false)
| ( ( f($false)
| ( ( f($false)
| x )
& ( f($true)
| ~ x ) ) )
& ( f($true)
| ( ( ~ f($false)
| x )
& ( ~ f($true)
| ~ x ) ) ) ) )
=> epred2_0 ),
inference(split_equiv,[status(thm)],[c_0_7]) ).
fof(c_0_17,plain,
( ( f($true)
| ( ( ~ f($false)
| ( ( f($false)
| x )
& ( f($true)
| ~ x ) ) )
& ( ~ f($true)
| ( ( ~ f($false)
| x )
& ( ~ f($true)
| ~ x ) ) ) ) )
=> epred4_0 ),
inference(split_equiv,[status(thm)],[c_0_2]) ).
cnf(c_0_18,plain,
( ~ f($true)
| ~ f($true)
| ~ x
| epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_19,plain,
( ~ x
| $false
| epred6_0
| f($true) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_20,plain,
( ~ f($false)
| epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_21,plain,
( f($false)
| epred6_0
| x ),
inference(cn,[status(thm)],[c_0_13]) ).
cnf(c_0_22,plain,
( $false
| ~ f($false)
| epred3_0
| x ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_23,plain,
( epred1_0
| x
| f($false)
| f($false) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_24,plain,
( ( epred2_0
| f($false) )
& ( epred2_0
| ~ f($true)
| ~ f($false) )
& ( epred2_0
| ~ f($true)
| ~ f($true)
| ~ f($false) )
& ( epred2_0
| ~ f($true)
| ~ f($true)
| ~ x )
& ( epred2_0
| ~ f($true)
| x
| ~ f($false) )
& ( epred2_0
| ~ f($true)
| x
| ~ x )
& ( epred2_0
| f($true)
| f($false)
| ~ f($false) )
& ( epred2_0
| f($true)
| f($false)
| ~ f($true)
| ~ f($false) )
& ( epred2_0
| f($true)
| f($false)
| ~ f($true)
| ~ x )
& ( epred2_0
| f($true)
| f($false)
| x
| ~ f($false) )
& ( epred2_0
| f($true)
| f($false)
| x
| ~ x )
& ( epred2_0
| f($true)
| ~ x
| ~ f($false) )
& ( epred2_0
| f($true)
| ~ x
| ~ f($true)
| ~ f($false) )
& ( epred2_0
| f($true)
| ~ x
| ~ f($true)
| ~ x )
& ( epred2_0
| f($true)
| ~ x
| x
| ~ f($false) )
& ( epred2_0
| f($true)
| ~ x
| x
| ~ x )
& ( epred2_0
| x
| f($false)
| ~ f($false) )
& ( epred2_0
| x
| f($false)
| ~ f($true)
| ~ f($false) )
& ( epred2_0
| x
| f($false)
| ~ f($true)
| ~ x )
& ( epred2_0
| x
| f($false)
| x
| ~ f($false) )
& ( epred2_0
| x
| f($false)
| x
| ~ x )
& ( epred2_0
| x
| ~ x
| ~ f($false) )
& ( epred2_0
| x
| ~ x
| ~ f($true)
| ~ f($false) )
& ( epred2_0
| x
| ~ x
| ~ f($true)
| ~ x )
& ( epred2_0
| x
| ~ x
| x
| ~ f($false) )
& ( epred2_0
| x
| ~ x
| x
| ~ x ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])]) ).
fof(c_0_25,negated_conjecture,
h(f(f(f(x)))) != h(f(x)),
inference(assume_negation,[status(cth)],[2]) ).
fof(c_0_26,plain,
( ( epred4_0
| ~ f($true) )
& ( epred4_0
| f($true)
| f($false) )
& ( epred4_0
| f($true)
| ~ f($true)
| ~ f($false) )
& ( epred4_0
| f($true)
| ~ f($true)
| ~ x )
& ( epred4_0
| f($true)
| x
| ~ f($false) )
& ( epred4_0
| f($true)
| x
| ~ x )
& ( epred4_0
| f($true)
| f($false)
| f($false) )
& ( epred4_0
| f($true)
| f($false)
| ~ f($true)
| ~ f($false) )
& ( epred4_0
| f($true)
| f($false)
| ~ f($true)
| ~ x )
& ( epred4_0
| f($true)
| f($false)
| x
| ~ f($false) )
& ( epred4_0
| f($true)
| f($false)
| x
| ~ x )
& ( epred4_0
| f($true)
| ~ x
| f($false) )
& ( epred4_0
| f($true)
| ~ x
| ~ f($true)
| ~ f($false) )
& ( epred4_0
| f($true)
| ~ x
| ~ f($true)
| ~ x )
& ( epred4_0
| f($true)
| ~ x
| x
| ~ f($false) )
& ( epred4_0
| f($true)
| ~ x
| x
| ~ x )
& ( epred4_0
| x
| f($false)
| f($false) )
& ( epred4_0
| x
| f($false)
| ~ f($true)
| ~ f($false) )
& ( epred4_0
| x
| f($false)
| ~ f($true)
| ~ x )
& ( epred4_0
| x
| f($false)
| x
| ~ f($false) )
& ( epred4_0
| x
| f($false)
| x
| ~ x )
& ( epred4_0
| x
| ~ x
| f($false) )
& ( epred4_0
| x
| ~ x
| ~ f($true)
| ~ f($false) )
& ( epred4_0
| x
| ~ x
| ~ f($true)
| ~ x )
& ( epred4_0
| x
| ~ x
| x
| ~ f($false) )
& ( epred4_0
| x
| ~ x
| x
| ~ x ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])]) ).
cnf(c_0_27,plain,
( ~ f($true)
| ~ x
| epred5_0 ),
inference(cn,[status(thm)],[c_0_18]) ).
cnf(c_0_28,plain,
( ~ x
| f($true)
| epred6_0 ),
inference(cn,[status(thm)],[c_0_19]) ).
cnf(c_0_29,plain,
( x
| epred5_0
| epred6_0 ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_30,plain,
( ~ f($false)
| epred3_0
| x ),
inference(cn,[status(thm)],[c_0_22]) ).
cnf(c_0_31,plain,
( f($false)
| epred1_0
| x ),
inference(cn,[status(thm)],[c_0_23]) ).
cnf(c_0_32,plain,
( epred2_0
| f($false) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
fof(c_0_33,negated_conjecture,
~ ( epred6_0
& epred3_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fool_unroll,[status(thm)],[c_0_25]),c_0_5]),c_0_1]) ).
cnf(c_0_34,plain,
( epred4_0
| f($true)
| f($false) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_35,plain,
( ~ f($true)
| epred4_0 ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_36,plain,
( ~ epred5_0
| ~ epred4_0
| epred6_0 ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_37,plain,
( epred5_0
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29]) ).
cnf(c_0_38,plain,
( $false
| ~ f($true)
| ~ x
| epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_39,plain,
( ~ epred2_0
| ~ epred1_0
| epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_40,plain,
( x
| epred1_0
| epred3_0 ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_41,plain,
( x
| epred2_0
| epred3_0 ),
inference(spm,[status(thm)],[c_0_30,c_0_32]) ).
fof(c_0_42,negated_conjecture,
( ~ epred6_0
| ~ epred3_0 ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_33])]) ).
cnf(c_0_43,plain,
( ~ f($false)
| epred4_0
| f($true)
| x ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_44,plain,
( f($false)
| epred4_0 ),
inference(csr,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_45,plain,
( ~ epred4_0
| epred6_0 ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_46,plain,
( ~ x
| epred4_0
| epred6_0 ),
inference(spm,[status(thm)],[c_0_35,c_0_28]) ).
cnf(c_0_47,plain,
( ~ f($true)
| ~ x
| epred3_0 ),
inference(cn,[status(thm)],[c_0_38]) ).
cnf(c_0_48,plain,
( x
| epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_41]) ).
cnf(c_0_49,plain,
( ~ f($true)
| ~ f($false)
| epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_50,negated_conjecture,
( ~ epred6_0
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_51,plain,
( x
| epred4_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_43,c_0_44]),c_0_35]) ).
cnf(c_0_52,plain,
( ~ x
| epred6_0 ),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_53,plain,
( ~ f($true)
| epred3_0 ),
inference(csr,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_54,plain,
( epred1_0
| f($true) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_55,plain,
( ~ x
| ~ f($false)
| epred2_0
| f($true) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_56,plain,
( ~ f($true)
| epred2_0 ),
inference(csr,[status(thm)],[c_0_49,c_0_32]) ).
cnf(c_0_57,negated_conjecture,
( ~ epred6_0
| x ),
inference(spm,[status(thm)],[c_0_50,c_0_48]) ).
cnf(c_0_58,plain,
epred6_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_51]),c_0_52]) ).
cnf(c_0_59,plain,
( epred1_0
| epred3_0 ),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_60,plain,
( ~ x
| epred2_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_55,c_0_32]),c_0_56]) ).
cnf(c_0_61,negated_conjecture,
x,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_57,c_0_58])]) ).
cnf(c_0_62,plain,
( ~ epred2_0
| epred3_0 ),
inference(spm,[status(thm)],[c_0_39,c_0_59]) ).
cnf(c_0_63,plain,
epred2_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_60,c_0_61])]) ).
cnf(c_0_64,negated_conjecture,
~ epred3_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_50,c_0_58])]) ).
cnf(c_0_65,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_62,c_0_63])]),c_0_64]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO040_8 : TPTP v9.3.1. Released v8.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.37 % Computer : n008.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Mon Sep 21 11:35:54 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 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
% 0.12/0.45 % Version: 3.5.1
% 0.12/0.45 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.12/0.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.45 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.12/0.45 % Starting new_bool_3 with 300s (1) cores
% 0.12/0.45 % Starting new_bool_1 with 300s (1) cores
% 0.12/0.45 % Starting sh5l with 300s (1) cores
% 0.12/0.45 % new_bool_3 with pid 879227 completed with status 0
% 0.12/0.45 % Result found by new_bool_3
% 0.12/0.45 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.12/0.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.45 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.12/0.45 % Starting new_bool_3 with 300s (1) cores
% 0.12/0.45 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.12/0.45 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.12/0.45 % Search class: FGHSF-FFMM11-SFFFFFNN
% 0.12/0.45 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.12/0.45 % Starting SubtermCWHack with 31s (1) cores
% 0.12/0.45 % SubtermCWHack with pid 879231 completed with status 0
% 0.12/0.45 % Result found by SubtermCWHack
% 0.12/0.45 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.12/0.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.45 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.12/0.45 % Starting new_bool_3 with 300s (1) cores
% 0.12/0.45 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.12/0.45 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.12/0.45 % Search class: FGHSF-FFMM11-SFFFFFNN
% 0.12/0.45 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.12/0.45 % Starting SubtermCWHack with 31s (1) cores
% 0.12/0.45 % Preprocessing time : 0.001 s
% 0.12/0.45
% 0.12/0.45 % Proof found!
% 0.12/0.45 % SZS status Theorem
% 0.12/0.45 % SZS output start CNFRefutation
% See solution above
% 0.12/0.45 % Parsed axioms : 4
% 0.12/0.45 % Removed by relevancy pruning/SinE : 3
% 0.12/0.45 % Initial clauses : 157
% 0.12/0.45 % Removed in clause preprocessing : 116
% 0.12/0.45 % Initial clauses in saturation : 41
% 0.12/0.45 % Processed clauses : 70
% 0.12/0.45 % ...of these trivial : 1
% 0.12/0.45 % ...subsumed : 14
% 0.12/0.45 % ...remaining for further processing : 55
% 0.12/0.45 % Other redundant clauses eliminated : 0
% 0.12/0.45 % Clauses deleted for lack of memory : 0
% 0.12/0.45 % Backward-subsumed : 22
% 0.12/0.45 % Backward-rewritten : 20
% 0.12/0.45 % Generated clauses : 45
% 0.12/0.45 % ...of the previous two non-redundant : 43
% 0.12/0.45 % ...aggressively subsumed : 0
% 0.12/0.45 % Contextual simplify-reflections : 12
% 0.12/0.45 % Paramodulations : 43
% 0.12/0.45 % Factorizations : 0
% 0.12/0.45 % NegExts : 0
% 0.12/0.45 % Equation resolutions : 0
% 0.12/0.45 % Disequality decompositions : 0
% 0.12/0.45 % Total rewrite steps : 21
% 0.12/0.45 % ...of those cached : 17
% 0.12/0.45 % Propositional unsat checks : 0
% 0.12/0.45 % Propositional check models : 0
% 0.12/0.45 % Propositional check unsatisfiable : 0
% 0.12/0.45 % Propositional clauses : 0
% 0.12/0.45 % Propositional clauses after purity: 0
% 0.12/0.45 % Propositional unsat core size : 0
% 0.12/0.45 % Propositional preprocessing time : 0.000
% 0.12/0.45 % Propositional encoding time : 0.000
% 0.12/0.45 % Propositional solver time : 0.000
% 0.12/0.45 % Success case prop preproc time : 0.000
% 0.12/0.45 % Success case prop encoding time : 0.000
% 0.12/0.45 % Success case prop solver time : 0.000
% 0.12/0.45 % Current number of processed clauses : 11
% 0.12/0.45 % Positive orientable unit clauses : 4
% 0.12/0.45 % Positive unorientable unit clauses: 0
% 0.12/0.45 % Negative unit clauses : 1
% 0.12/0.45 % Non-unit-clauses : 6
% 0.12/0.45 % Current number of unprocessed clauses: 10
% 0.12/0.45 % ...number of literals in the above : 38
% 0.12/0.45 % Current number of archived formulas : 0
% 0.12/0.45 % Current number of archived clauses : 44
% 0.12/0.45 % Clause-clause subsumption calls (NU) : 121
% 0.12/0.45 % Rec. Clause-clause subsumption calls : 114
% 0.12/0.45 % Non-unit clause-clause subsumptions : 46
% 0.12/0.45 % Unit Clause-clause subsumption calls : 9
% 0.12/0.45 % Rewrite failures with RHS unbound : 0
% 0.12/0.45 % BW rewrite match attempts : 4
% 0.12/0.45 % BW rewrite match successes : 4
% 0.12/0.45 % Condensation attempts : 0
% 0.12/0.45 % Condensation successes : 0
% 0.12/0.45 % Termbank termtop insertions : 4835
% 0.12/0.45 % Search garbage collected termcells : 1023
% 0.12/0.45
% 0.12/0.45 % -------------------------------------------------
% 0.12/0.45 % User time : 0.007 s
% 0.12/0.45 % System time : 0.003 s
% 0.12/0.45 % Total time : 0.009 s
% 0.12/0.45 % Maximum resident set size: 3628 pages
% 0.12/0.45
% 0.12/0.45 % -------------------------------------------------
% 0.12/0.45 % User time : 0.008 s
% 0.12/0.45 % System time : 0.008 s
% 0.12/0.45 % Total time : 0.015 s
% 0.12/0.45 % Maximum resident set size: 4864 pages
% 0.12/0.45 % E exiting
%------------------------------------------------------------------------------