%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : NUM730_8 : TPTP v9.3.1. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n011.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 01:50:20 PM UTC 2026
% Result : Theorem 0.11s 0.48s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 4
% Syntax : Number of formulae : 79 ( 13 unt; 0 typ; 0 def)
% Number of atoms : 1058 ( 45 equ)
% Maximal formula atoms : 117 ( 13 avg)
% Number of connectives : 711 ( 251 ~; 379 |; 77 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 31 ( 5 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of FOOLs : 519 ( 519 fml; 0 var)
% Number of types : 3 ( 2 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 8 ( 5 usr; 4 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 30 ( 0 sgn 30 !; 0 ?; 30 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_sort1,type,
frac: $tType ).
tff(decl_sort2,type,
nat: $tType ).
tff(decl_23,type,
x: frac ).
tff(decl_24,type,
y: frac ).
tff(decl_25,type,
orec3: ( $o * ( $o * $o ) ) > $o ).
tff(decl_26,type,
ts: ( nat * nat ) > nat ).
tff(decl_27,type,
c1x: frac > nat ).
tff(decl_28,type,
c2y: frac > nat ).
tff(decl_29,type,
c1y: frac > nat ).
tff(decl_30,type,
c2x: frac > nat ).
tff(decl_31,type,
more: ( nat * nat ) > $o ).
tff(decl_32,type,
less: ( nat * nat ) > $o ).
tff(decl_33,type,
epred1_0: $o ).
tff(decl_34,type,
epred2_0: $o ).
tff(satz10,axiom,
! [X1: nat,X2: nat] : orec3(X1 = X2,more(X1,X2),less(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz10) ).
tff(satz41,conjecture,
orec3(ts(c1x(x),c2y(y)) = ts(c1y(y),c2x(x)),more(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x))),less(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz41) ).
tff(c_0_2,plain,
( epred1_0
<=> ( ( ( ( ( orec3($true,$false,$false)
| less(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x))) )
& ( orec3($true,$false,$true)
| ~ less(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x))) ) )
| more(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x))) )
& ( ( ( orec3($true,$true,$false)
| less(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x))) )
& ( orec3($true,$true,$true)
| ~ less(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x))) ) )
| ~ more(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x))) ) )
| ( ts(c1x(x),c2y(y)) != ts(c1y(y),c2x(x)) ) ) ),
introduced(definition) ).
tff(c_0_3,axiom,
! [X1: nat,X2: nat] :
( ( ( ( ( ( orec3($false,$false,$false)
| less(X1,X2) )
& ( orec3($false,$false,$true)
| ~ less(X1,X2) ) )
| more(X1,X2) )
& ( ( ( orec3($false,$true,$false)
| less(X1,X2) )
& ( orec3($false,$true,$true)
| ~ less(X1,X2) ) )
| ~ more(X1,X2) ) )
| ( X1 = X2 ) )
& ( ( ( ( ( orec3($true,$false,$false)
| less(X1,X2) )
& ( orec3($true,$false,$true)
| ~ less(X1,X2) ) )
| more(X1,X2) )
& ( ( ( orec3($true,$true,$false)
| less(X1,X2) )
& ( orec3($true,$true,$true)
| ~ less(X1,X2) ) )
| ~ more(X1,X2) ) )
| ( X1 != X2 ) ) ),
inference(fool_unroll,[status(thm)],[satz10]) ).
tff(c_0_4,plain,
( ( ( ( ( ( orec3($true,$false,$false)
| less(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x))) )
& ( orec3($true,$false,$true)
| ~ less(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x))) ) )
| more(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x))) )
& ( ( ( orec3($true,$true,$false)
| less(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x))) )
& ( orec3($true,$true,$true)
| ~ less(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x))) ) )
| ~ more(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x))) ) )
| ( ts(c1x(x),c2y(y)) != ts(c1y(y),c2x(x)) ) )
=> epred1_0 ),
inference(split_equiv,[status(thm)],[c_0_2]) ).
tff(c_0_5,plain,
! [X3: nat,X4: nat] :
( ( ( X3 = X4 )
| more(X3,X4)
| orec3($false,$false,$false)
| less(X3,X4) )
& ( ( X3 = X4 )
| more(X3,X4)
| orec3($false,$false,$true)
| ~ less(X3,X4) )
& ( ( X3 = X4 )
| ~ more(X3,X4)
| orec3($false,$true,$false)
| less(X3,X4) )
& ( ( X3 = X4 )
| ~ more(X3,X4)
| orec3($false,$true,$true)
| ~ less(X3,X4) )
& ( ( X3 != X4 )
| more(X3,X4)
| orec3($true,$false,$false)
| less(X3,X4) )
& ( ( X3 != X4 )
| more(X3,X4)
| orec3($true,$false,$true)
| ~ less(X3,X4) )
& ( ( X3 != X4 )
| ~ more(X3,X4)
| orec3($true,$true,$false)
| less(X3,X4) )
& ( ( X3 != X4 )
| ~ more(X3,X4)
| orec3($true,$true,$true)
| ~ less(X3,X4) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_3])])]) ).
tff(c_0_6,plain,
( ( epred1_0
| ~ orec3($true,$true,$true)
| ~ orec3($true,$true,$false)
| ~ orec3($true,$false,$true)
| ~ orec3($true,$false,$false) )
& ( epred1_0
| ~ orec3($true,$true,$true)
| ~ orec3($true,$true,$false)
| ~ orec3($true,$false,$true)
| ~ less(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x))) )
& ( epred1_0
| ~ orec3($true,$true,$true)
| ~ orec3($true,$true,$false)
| less(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x)))
| ~ orec3($true,$false,$false) )
& ( epred1_0
| ~ orec3($true,$true,$true)
| ~ orec3($true,$true,$false)
| less(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x)))
| ~ less(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x))) )
& ( epred1_0
| ~ orec3($true,$true,$true)
| ~ orec3($true,$true,$false)
| ~ more(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x))) )
& ( epred1_0
| ~ orec3($true,$true,$true)
| ~ less(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x)))
| ~ orec3($true,$false,$true)
| ~ orec3($true,$false,$false) )
& ( epred1_0
| ~ orec3($true,$true,$true)
| ~ less(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x)))
| ~ orec3($true,$false,$true)
| ~ less(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x))) )
& ( epred1_0
| ~ orec3($true,$true,$true)
| ~ less(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x)))
| less(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x)))
| ~ orec3($true,$false,$false) )
& ( epred1_0
| ~ orec3($true,$true,$true)
| ~ less(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x)))
| less(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x)))
| ~ less(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x))) )
& ( epred1_0
| ~ orec3($true,$true,$true)
| ~ less(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x)))
| ~ more(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x))) )
& ( epred1_0
| less(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x)))
| ~ orec3($true,$true,$false)
| ~ orec3($true,$false,$true)
| ~ orec3($true,$false,$false) )
& ( epred1_0
| less(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x)))
| ~ orec3($true,$true,$false)
| ~ orec3($true,$false,$true)
| ~ less(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x))) )
& ( epred1_0
| less(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x)))
| ~ orec3($true,$true,$false)
| less(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x)))
| ~ orec3($true,$false,$false) )
& ( epred1_0
| less(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x)))
| ~ orec3($true,$true,$false)
| less(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x)))
| ~ less(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x))) )
& ( epred1_0
| less(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x)))
| ~ orec3($true,$true,$false)
| ~ more(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x))) )
& ( epred1_0
| less(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x)))
| ~ less(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x)))
| ~ orec3($true,$false,$true)
| ~ orec3($true,$false,$false) )
& ( epred1_0
| less(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x)))
| ~ less(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x)))
| ~ orec3($true,$false,$true)
| ~ less(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x))) )
& ( epred1_0
| less(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x)))
| ~ less(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x)))
| less(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x)))
| ~ orec3($true,$false,$false) )
& ( epred1_0
| less(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x)))
| ~ less(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x)))
| less(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x)))
| ~ less(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x))) )
& ( epred1_0
| less(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x)))
| ~ less(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x)))
| ~ more(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x))) )
& ( epred1_0
| more(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x)))
| ~ orec3($true,$false,$true)
| ~ orec3($true,$false,$false) )
& ( epred1_0
| more(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x)))
| ~ orec3($true,$false,$true)
| ~ less(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x))) )
& ( epred1_0
| more(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x)))
| less(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x)))
| ~ orec3($true,$false,$false) )
& ( epred1_0
| more(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x)))
| less(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x)))
| ~ less(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x))) )
& ( epred1_0
| more(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x)))
| ~ more(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x))) )
& ( epred1_0
| ( ts(c1x(x),c2y(y)) = ts(c1y(y),c2x(x)) ) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])]) ).
tcf(c_0_7,plain,
! [X1: nat,X2: nat] :
( ( X1 != X2 )
| more(X1,X2)
| orec3($true,$false,$false)
| less(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
tcf(c_0_8,plain,
! [X1: nat,X2: nat] :
( ( X1 != X2 )
| ~ more(X1,X2)
| orec3($true,$true,$false)
| less(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
tcf(c_0_9,plain,
( ~ orec3($true,$false,$false)
| epred1_0
| more(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x)))
| less(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x))) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
tcf(c_0_10,plain,
( epred1_0
| ( ts(c1x(x),c2y(y)) = ts(c1y(y),c2x(x)) ) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
tcf(c_0_11,plain,
! [X1: nat] :
( orec3($true,$false,$false)
| more(X1,X1)
| less(X1,X1) ),
inference(er,[status(thm)],[c_0_7]) ).
tff(c_0_12,negated_conjecture,
~ orec3(ts(c1x(x),c2y(y)) = ts(c1y(y),c2x(x)),more(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x))),less(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x)))),
inference(assume_negation,[status(cth)],[satz41]) ).
tff(c_0_13,plain,
( epred2_0
<=> ( ( ( ( ( orec3($false,$false,$false)
| less(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x))) )
& ( orec3($false,$false,$true)
| ~ less(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x))) ) )
| more(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x))) )
& ( ( ( orec3($false,$true,$false)
| less(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x))) )
& ( orec3($false,$true,$true)
| ~ less(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x))) ) )
| ~ more(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x))) ) )
| ( ts(c1x(x),c2y(y)) = ts(c1y(y),c2x(x)) ) ) ),
introduced(definition) ).
tcf(c_0_14,plain,
! [X1: nat,X2: nat] :
( ( X1 != X2 )
| ~ less(X1,X2)
| more(X1,X2)
| orec3($true,$false,$true) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
tcf(c_0_15,plain,
( ~ orec3($true,$true,$false)
| ~ more(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x)))
| epred1_0
| less(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x))) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
tcf(c_0_16,plain,
! [X1: nat] :
( ~ more(X1,X1)
| orec3($true,$true,$false)
| less(X1,X1) ),
inference(er,[status(thm)],[c_0_8]) ).
tcf(c_0_17,plain,
( more(ts(c1y(y),c2x(x)),ts(c1y(y),c2x(x)))
| less(ts(c1y(y),c2x(x)),ts(c1y(y),c2x(x)))
| epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11]) ).
fof(c_0_18,negated_conjecture,
~ ( epred2_0
& epred1_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fool_unroll,[status(thm)],[c_0_12]),c_0_2]),c_0_13]) ).
tcf(c_0_19,plain,
! [X1: nat,X2: nat] :
( ( X1 != X2 )
| ~ more(X1,X2)
| ~ less(X1,X2)
| orec3($true,$true,$true) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
tcf(c_0_20,plain,
( ~ orec3($true,$false,$true)
| ~ less(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x)))
| epred1_0
| more(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x))) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
tcf(c_0_21,plain,
! [X1: nat] :
( ~ less(X1,X1)
| orec3($true,$false,$true)
| more(X1,X1) ),
inference(er,[status(thm)],[c_0_14]) ).
tcf(c_0_22,plain,
( less(ts(c1y(y),c2x(x)),ts(c1y(y),c2x(x)))
| epred1_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_10]),c_0_16]),c_0_17]) ).
tff(c_0_23,plain,
( ( ( ( ( ( orec3($false,$false,$false)
| less(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x))) )
& ( orec3($false,$false,$true)
| ~ less(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x))) ) )
| more(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x))) )
& ( ( ( orec3($false,$true,$false)
| less(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x))) )
& ( orec3($false,$true,$true)
| ~ less(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x))) ) )
| ~ more(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x))) ) )
| ( ts(c1x(x),c2y(y)) = ts(c1y(y),c2x(x)) ) )
=> epred2_0 ),
inference(split_equiv,[status(thm)],[c_0_13]) ).
fof(c_0_24,negated_conjecture,
( ~ epred2_0
| ~ epred1_0 ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])]) ).
tcf(c_0_25,plain,
( ~ orec3($true,$true,$true)
| ~ less(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x)))
| ~ more(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x)))
| epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
tcf(c_0_26,plain,
! [X1: nat] :
( ~ more(X1,X1)
| ~ less(X1,X1)
| orec3($true,$true,$true) ),
inference(er,[status(thm)],[c_0_19]) ).
tcf(c_0_27,plain,
( more(ts(c1y(y),c2x(x)),ts(c1y(y),c2x(x)))
| epred1_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_10]),c_0_21]),c_0_22]) ).
tff(c_0_28,plain,
( ( epred2_0
| ~ orec3($false,$true,$true)
| ~ orec3($false,$true,$false)
| ~ orec3($false,$false,$true)
| ~ orec3($false,$false,$false) )
& ( epred2_0
| ~ orec3($false,$true,$true)
| ~ orec3($false,$true,$false)
| ~ orec3($false,$false,$true)
| ~ less(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x))) )
& ( epred2_0
| ~ orec3($false,$true,$true)
| ~ orec3($false,$true,$false)
| less(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x)))
| ~ orec3($false,$false,$false) )
& ( epred2_0
| ~ orec3($false,$true,$true)
| ~ orec3($false,$true,$false)
| less(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x)))
| ~ less(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x))) )
& ( epred2_0
| ~ orec3($false,$true,$true)
| ~ orec3($false,$true,$false)
| ~ more(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x))) )
& ( epred2_0
| ~ orec3($false,$true,$true)
| ~ less(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x)))
| ~ orec3($false,$false,$true)
| ~ orec3($false,$false,$false) )
& ( epred2_0
| ~ orec3($false,$true,$true)
| ~ less(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x)))
| ~ orec3($false,$false,$true)
| ~ less(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x))) )
& ( epred2_0
| ~ orec3($false,$true,$true)
| ~ less(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x)))
| less(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x)))
| ~ orec3($false,$false,$false) )
& ( epred2_0
| ~ orec3($false,$true,$true)
| ~ less(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x)))
| less(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x)))
| ~ less(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x))) )
& ( epred2_0
| ~ orec3($false,$true,$true)
| ~ less(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x)))
| ~ more(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x))) )
& ( epred2_0
| less(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x)))
| ~ orec3($false,$true,$false)
| ~ orec3($false,$false,$true)
| ~ orec3($false,$false,$false) )
& ( epred2_0
| less(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x)))
| ~ orec3($false,$true,$false)
| ~ orec3($false,$false,$true)
| ~ less(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x))) )
& ( epred2_0
| less(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x)))
| ~ orec3($false,$true,$false)
| less(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x)))
| ~ orec3($false,$false,$false) )
& ( epred2_0
| less(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x)))
| ~ orec3($false,$true,$false)
| less(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x)))
| ~ less(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x))) )
& ( epred2_0
| less(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x)))
| ~ orec3($false,$true,$false)
| ~ more(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x))) )
& ( epred2_0
| less(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x)))
| ~ less(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x)))
| ~ orec3($false,$false,$true)
| ~ orec3($false,$false,$false) )
& ( epred2_0
| less(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x)))
| ~ less(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x)))
| ~ orec3($false,$false,$true)
| ~ less(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x))) )
& ( epred2_0
| less(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x)))
| ~ less(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x)))
| less(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x)))
| ~ orec3($false,$false,$false) )
& ( epred2_0
| less(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x)))
| ~ less(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x)))
| less(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x)))
| ~ less(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x))) )
& ( epred2_0
| less(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x)))
| ~ less(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x)))
| ~ more(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x))) )
& ( epred2_0
| more(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x)))
| ~ orec3($false,$false,$true)
| ~ orec3($false,$false,$false) )
& ( epred2_0
| more(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x)))
| ~ orec3($false,$false,$true)
| ~ less(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x))) )
& ( epred2_0
| more(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x)))
| less(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x)))
| ~ orec3($false,$false,$false) )
& ( epred2_0
| more(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x)))
| less(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x)))
| ~ less(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x))) )
& ( epred2_0
| more(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x)))
| ~ more(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x))) )
& ( epred2_0
| ( ts(c1x(x),c2y(y)) != ts(c1y(y),c2x(x)) ) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])])]) ).
cnf(c_0_29,negated_conjecture,
( ~ epred2_0
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_30,plain,
epred1_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_10]),c_0_26]),c_0_27]),c_0_22]) ).
tcf(c_0_31,plain,
! [X1: nat,X2: nat] :
( ~ more(X1,X2)
| ~ less(X1,X2)
| ( X1 = X2 )
| orec3($false,$true,$true) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
tcf(c_0_32,plain,
! [X1: nat,X2: nat] :
( ~ less(X1,X2)
| ( X1 = X2 )
| more(X1,X2)
| orec3($false,$false,$true) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
tcf(c_0_33,plain,
( ~ orec3($false,$false,$true)
| ~ orec3($false,$false,$false)
| epred2_0
| more(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x))) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_34,negated_conjecture,
~ epred2_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_30])]) ).
tcf(c_0_35,plain,
! [X1: nat,X2: nat] :
( ~ less(X1,X2)
| orec3($false,$true,$true)
| orec3($false,$false,$true)
| ( X1 = X2 ) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
tcf(c_0_36,plain,
( ~ orec3($false,$true,$false)
| ~ orec3($false,$false,$false)
| epred2_0
| less(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x)))
| less(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x))) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
tcf(c_0_37,plain,
! [X1: nat,X2: nat] :
( ~ more(X1,X2)
| ( X1 = X2 )
| orec3($false,$true,$false)
| less(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
tcf(c_0_38,plain,
! [X1: nat,X2: nat] :
( ( X1 = X2 )
| more(X1,X2)
| orec3($false,$false,$false)
| less(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
tcf(c_0_39,plain,
( ~ orec3($false,$false,$false)
| ~ less(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x)))
| orec3($false,$true,$true)
| ( ts(c1x(x),c2y(y)) = ts(c1y(y),c2x(x)) ) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_33]),c_0_34]),c_0_35]) ).
tcf(c_0_40,plain,
( ~ orec3($false,$false,$false)
| ~ orec3($false,$true,$false)
| less(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x)))
| epred2_0 ),
inference(cn,[status(thm)],[c_0_36]) ).
tcf(c_0_41,plain,
( ~ orec3($false,$false,$false)
| epred2_0
| more(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x)))
| less(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x))) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
tcf(c_0_42,plain,
! [X1: nat,X2: nat] :
( orec3($false,$true,$false)
| orec3($false,$false,$false)
| less(X1,X2)
| ( X1 = X2 ) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
tcf(c_0_43,plain,
( ( ts(c1x(x),c2y(y)) != ts(c1y(y),c2x(x)) )
| epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
tcf(c_0_44,plain,
( ~ orec3($false,$true,$false)
| ~ orec3($false,$false,$false)
| orec3($false,$true,$true)
| ( ts(c1x(x),c2y(y)) = ts(c1y(y),c2x(x)) ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_34]) ).
tcf(c_0_45,plain,
( orec3($false,$true,$false)
| less(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x)))
| ( ts(c1x(x),c2y(y)) = ts(c1y(y),c2x(x)) ) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_41]),c_0_34]),c_0_42]) ).
cnf(c_0_46,plain,
( ~ orec3($false,$true,$false)
| ~ orec3($false,$false,$false)
| orec3($false,$true,$true) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_34]) ).
tcf(c_0_47,plain,
( ~ orec3($false,$true,$false)
| ~ more(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x)))
| epred2_0
| less(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x))) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
tcf(c_0_48,plain,
( ~ orec3($false,$false,$false)
| orec3($false,$true,$true)
| ( ts(c1x(x),c2y(y)) = ts(c1y(y),c2x(x)) ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_45]),c_0_46]) ).
tcf(c_0_49,plain,
( orec3($false,$false,$false)
| less(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x)))
| ( ts(c1x(x),c2y(y)) = ts(c1y(y),c2x(x)) ) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_38]),c_0_34]),c_0_42]) ).
cnf(c_0_50,plain,
( ~ orec3($false,$false,$false)
| orec3($false,$true,$true) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_48]),c_0_34]) ).
tcf(c_0_51,plain,
( orec3($false,$false,$true)
| orec3($false,$true,$true)
| ( ts(c1x(x),c2y(y)) = ts(c1y(y),c2x(x)) ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_49]),c_0_50]) ).
tcf(c_0_52,plain,
( ~ orec3($false,$true,$true)
| ~ less(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x)))
| ~ orec3($false,$false,$true)
| ~ less(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x)))
| epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
tcf(c_0_53,plain,
( ~ orec3($false,$false,$true)
| ~ less(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x)))
| epred2_0
| more(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x))) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_54,plain,
( orec3($false,$true,$true)
| orec3($false,$false,$true) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_51]),c_0_34]) ).
tcf(c_0_55,plain,
( ~ less(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x)))
| ~ orec3($false,$false,$true)
| ~ orec3($false,$true,$true)
| epred2_0 ),
inference(cn,[status(thm)],[c_0_52]) ).
tcf(c_0_56,plain,
( ~ less(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x)))
| orec3($false,$true,$true)
| ( ts(c1x(x),c2y(y)) = ts(c1y(y),c2x(x)) ) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_53]),c_0_34]),c_0_54]) ).
tcf(c_0_57,plain,
( ~ orec3($false,$false,$true)
| ~ orec3($false,$true,$true)
| orec3($false,$false,$false)
| ( ts(c1x(x),c2y(y)) = ts(c1y(y),c2x(x)) ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_49]),c_0_34]) ).
tcf(c_0_58,plain,
( ~ orec3($false,$false,$true)
| ~ orec3($false,$true,$true)
| orec3($false,$true,$false)
| ( ts(c1x(x),c2y(y)) = ts(c1y(y),c2x(x)) ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_45]),c_0_34]) ).
tcf(c_0_59,plain,
( orec3($false,$true,$true)
| ( ts(c1x(x),c2y(y)) = ts(c1y(y),c2x(x)) ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_49]),c_0_50]) ).
cnf(c_0_60,plain,
( ~ orec3($false,$true,$true)
| ~ orec3($false,$true,$false)
| ~ orec3($false,$false,$true)
| ~ orec3($false,$false,$false)
| epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_61,plain,
( ~ orec3($false,$false,$true)
| ~ orec3($false,$true,$true)
| orec3($false,$false,$false) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_57]),c_0_34]) ).
cnf(c_0_62,plain,
( ~ orec3($false,$false,$true)
| ~ orec3($false,$true,$true)
| orec3($false,$true,$false) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_58]),c_0_34]) ).
tcf(c_0_63,plain,
( ~ orec3($false,$true,$true)
| ~ less(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x)))
| ~ more(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x)))
| epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_64,plain,
orec3($false,$true,$true),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_59]),c_0_34]) ).
cnf(c_0_65,plain,
( ~ orec3($false,$false,$true)
| ~ orec3($false,$true,$true) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_34]),c_0_62]) ).
tcf(c_0_66,plain,
( ~ more(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x)))
| ~ less(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x))) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_63,c_0_64])]),c_0_34]) ).
cnf(c_0_67,plain,
~ orec3($false,$false,$true),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_65,c_0_64])]) ).
tcf(c_0_68,plain,
( ~ less(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x)))
| ( ts(c1x(x),c2y(y)) = ts(c1y(y),c2x(x)) ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_32]),c_0_67]) ).
tcf(c_0_69,plain,
( ~ orec3($false,$true,$true)
| ~ orec3($false,$true,$false)
| ~ more(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x)))
| epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
tcf(c_0_70,plain,
( orec3($false,$true,$false)
| ( ts(c1x(x),c2y(y)) = ts(c1y(y),c2x(x)) ) ),
inference(spm,[status(thm)],[c_0_68,c_0_45]) ).
tcf(c_0_71,plain,
( orec3($false,$false,$false)
| ( ts(c1x(x),c2y(y)) = ts(c1y(y),c2x(x)) ) ),
inference(spm,[status(thm)],[c_0_68,c_0_49]) ).
tcf(c_0_72,plain,
( ~ orec3($false,$true,$false)
| ~ more(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x))) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_69,c_0_64])]),c_0_34]) ).
cnf(c_0_73,plain,
orec3($false,$true,$false),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_70]),c_0_34]) ).
cnf(c_0_74,plain,
orec3($false,$false,$false),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_71]),c_0_34]) ).
tcf(c_0_75,plain,
~ more(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_72,c_0_73])]) ).
tcf(c_0_76,plain,
less(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x))),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_41,c_0_74])]),c_0_34]),c_0_75]) ).
tcf(c_0_77,plain,
ts(c1x(x),c2y(y)) = ts(c1y(y),c2x(x)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_68,c_0_76])]) ).
cnf(c_0_78,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_43,c_0_77])]),c_0_34]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM730_8 : TPTP v9.3.1. Released v8.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n011.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Mon Sep 21 02:59:10 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.43 Running first-order theorem proving
% 0.11/0.43 Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 0.11/0.48 % Version: 3.5.1
% 0.11/0.48 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.11/0.48 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/0.48 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.11/0.48 % Starting new_bool_3 with 300s (1) cores
% 0.11/0.48 % Starting new_bool_1 with 300s (1) cores
% 0.11/0.48 % Starting sh5l with 300s (1) cores
% 0.11/0.48 % new_bool_3 with pid 821497 completed with status 0
% 0.11/0.48 % Result found by new_bool_3
% 0.11/0.48 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.11/0.48 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/0.48 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.11/0.48 % Starting new_bool_3 with 300s (1) cores
% 0.11/0.48 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.11/0.48 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.11/0.48 % Search class: FGHSF-FFMF21-SFFFFFNN
% 0.11/0.48 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.11/0.48 % Starting SubtermCWHack with 31s (1) cores
% 0.11/0.48 % SubtermCWHack with pid 821502 completed with status 0
% 0.11/0.48 % Result found by SubtermCWHack
% 0.11/0.48 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.11/0.48 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/0.48 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.11/0.48 % Starting new_bool_3 with 300s (1) cores
% 0.11/0.48 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.11/0.48 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.11/0.48 % Search class: FGHSF-FFMF21-SFFFFFNN
% 0.11/0.48 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.11/0.48 % Starting SubtermCWHack with 31s (1) cores
% 0.11/0.48 % Preprocessing time : 0.001 s
% 0.11/0.48
% 0.11/0.48 % Proof found!
% 0.11/0.48 % SZS status Theorem
% 0.11/0.48 % SZS output start CNFRefutation
% See solution above
% 0.11/0.48 % Parsed axioms : 14
% 0.11/0.48 % Removed by relevancy pruning/SinE : 12
% 0.11/0.48 % Initial clauses : 61
% 0.11/0.48 % Removed in clause preprocessing : 24
% 0.11/0.48 % Initial clauses in saturation : 37
% 0.11/0.48 % Processed clauses : 207
% 0.11/0.48 % ...of these trivial : 0
% 0.11/0.48 % ...subsumed : 91
% 0.11/0.48 % ...remaining for further processing : 116
% 0.11/0.48 % Other redundant clauses eliminated : 6
% 0.11/0.48 % Clauses deleted for lack of memory : 0
% 0.11/0.48 % Backward-subsumed : 56
% 0.11/0.48 % Backward-rewritten : 40
% 0.11/0.48 % Generated clauses : 695
% 0.11/0.48 % ...of the previous two non-redundant : 502
% 0.11/0.48 % ...aggressively subsumed : 0
% 0.11/0.48 % Contextual simplify-reflections : 26
% 0.11/0.48 % Paramodulations : 688
% 0.11/0.48 % Factorizations : 0
% 0.11/0.48 % NegExts : 0
% 0.11/0.48 % Equation resolutions : 6
% 0.11/0.48 % Disequality decompositions : 0
% 0.11/0.48 % Total rewrite steps : 40
% 0.11/0.48 % ...of those cached : 34
% 0.11/0.48 % Propositional unsat checks : 0
% 0.11/0.48 % Propositional check models : 0
% 0.11/0.48 % Propositional check unsatisfiable : 0
% 0.11/0.48 % Propositional clauses : 0
% 0.11/0.48 % Propositional clauses after purity: 0
% 0.11/0.48 % Propositional unsat core size : 0
% 0.11/0.48 % Propositional preprocessing time : 0.000
% 0.11/0.48 % Propositional encoding time : 0.000
% 0.11/0.48 % Propositional solver time : 0.000
% 0.11/0.48 % Success case prop preproc time : 0.000
% 0.11/0.48 % Success case prop encoding time : 0.000
% 0.11/0.48 % Success case prop solver time : 0.000
% 0.11/0.48 % Current number of processed clauses : 15
% 0.11/0.48 % Positive orientable unit clauses : 5
% 0.11/0.48 % Positive unorientable unit clauses: 0
% 0.11/0.48 % Negative unit clauses : 2
% 0.11/0.48 % Non-unit-clauses : 8
% 0.11/0.48 % Current number of unprocessed clauses: 11
% 0.11/0.48 % ...number of literals in the above : 31
% 0.11/0.48 % Current number of archived formulas : 0
% 0.11/0.48 % Current number of archived clauses : 97
% 0.11/0.48 % Clause-clause subsumption calls (NU) : 3278
% 0.11/0.48 % Rec. Clause-clause subsumption calls : 572
% 0.11/0.48 % Non-unit clause-clause subsumptions : 170
% 0.11/0.48 % Unit Clause-clause subsumption calls : 67
% 0.11/0.48 % Rewrite failures with RHS unbound : 0
% 0.11/0.48 % BW rewrite match attempts : 9
% 0.11/0.48 % BW rewrite match successes : 6
% 0.11/0.48 % Condensation attempts : 0
% 0.11/0.48 % Condensation successes : 0
% 0.11/0.48 % Termbank termtop insertions : 20525
% 0.11/0.48 % Search garbage collected termcells : 427
% 0.11/0.48
% 0.11/0.48 % -------------------------------------------------
% 0.11/0.48 % User time : 0.022 s
% 0.11/0.48 % System time : 0.004 s
% 0.11/0.48 % Total time : 0.026 s
% 0.11/0.48 % Maximum resident set size: 3636 pages
% 0.11/0.48
% 0.11/0.48 % -------------------------------------------------
% 0.11/0.48 % User time : 0.024 s
% 0.11/0.48 % System time : 0.009 s
% 0.11/0.48 % Total time : 0.033 s
% 0.11/0.48 % Maximum resident set size: 4864 pages
% 0.11/0.48 % E exiting
%------------------------------------------------------------------------------