%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : NUM783_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 : n004.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 01:50:38 PM UTC 2026
% Result : Theorem 0.10s 0.45s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 5
% Syntax : Number of formulae : 70 ( 10 unt; 0 typ; 0 def)
% Number of atoms : 1137 ( 0 equ)
% Maximal formula atoms : 117 ( 16 avg)
% Number of connectives : 817 ( 281 ~; 429 |; 99 &)
% ( 3 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 31 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 531 ( 531 fml; 0 var)
% Number of types : 2 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 10 ( 8 usr; 4 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 46 ( 0 sgn 46 !; 0 ?; 46 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_sort1,type,
rat: $tType ).
tff(decl_23,type,
x0: rat ).
tff(decl_24,type,
y0: rat ).
tff(decl_25,type,
or3: ( $o * ( $o * $o ) ) > $o ).
tff(decl_26,type,
is: ( rat * rat ) > $o ).
tff(decl_27,type,
more: ( rat * rat ) > $o ).
tff(decl_28,type,
less: ( rat * rat ) > $o ).
tff(decl_29,type,
ec3: ( $o * ( $o * $o ) ) > $o ).
tff(decl_30,type,
epred1_0: $o ).
tff(decl_31,type,
epred2_0: $o ).
tff(decl_32,type,
epred3_2: ( rat * rat ) > $o ).
tff(satz81,axiom,
! [X2: rat,X3: rat] :
~ ( or3(is(X2,X3),more(X2,X3),less(X2,X3))
=> ~ ec3(is(X2,X3),more(X2,X3),less(X2,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz81) ).
tff(satz81a,conjecture,
or3(is(x0,y0),more(x0,y0),less(x0,y0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz81a) ).
tff(c_0_2,plain,
! [X2: rat,X3: rat] :
( epred3_2(X3,X2)
<=> ( ( ( ( ( ( or3($false,$false,$false)
| less(X2,X3) )
& ( or3($false,$false,$true)
| ~ less(X2,X3) ) )
| more(X2,X3) )
& ( ( ( or3($false,$true,$false)
| less(X2,X3) )
& ( or3($false,$true,$true)
| ~ less(X2,X3) ) )
| ~ more(X2,X3) ) )
| is(X2,X3) )
& ( ( ( ( ( or3($true,$false,$false)
| less(X2,X3) )
& ( or3($true,$false,$true)
| ~ less(X2,X3) ) )
| more(X2,X3) )
& ( ( ( or3($true,$true,$false)
| less(X2,X3) )
& ( or3($true,$true,$true)
| ~ less(X2,X3) ) )
| ~ more(X2,X3) ) )
| ~ is(X2,X3) ) ) ),
introduced(definition) ).
tff(c_0_3,plain,
( epred2_0
<=> ( ( ( ( ( or3($false,$false,$false)
| less(x0,y0) )
& ( or3($false,$false,$true)
| ~ less(x0,y0) ) )
| more(x0,y0) )
& ( ( ( or3($false,$true,$false)
| less(x0,y0) )
& ( or3($false,$true,$true)
| ~ less(x0,y0) ) )
| ~ more(x0,y0) ) )
| is(x0,y0) ) ),
introduced(definition) ).
tff(c_0_4,plain,
! [X2: rat,X3: rat] :
( epred3_2(X3,X2)
=> ( ( ( ( ( ( or3($false,$false,$false)
| less(X2,X3) )
& ( or3($false,$false,$true)
| ~ less(X2,X3) ) )
| more(X2,X3) )
& ( ( ( or3($false,$true,$false)
| less(X2,X3) )
& ( or3($false,$true,$true)
| ~ less(X2,X3) ) )
| ~ more(X2,X3) ) )
| is(X2,X3) )
& ( ( ( ( ( or3($true,$false,$false)
| less(X2,X3) )
& ( or3($true,$false,$true)
| ~ less(X2,X3) ) )
| more(X2,X3) )
& ( ( ( or3($true,$true,$false)
| less(X2,X3) )
& ( or3($true,$true,$true)
| ~ less(X2,X3) ) )
| ~ more(X2,X3) ) )
| ~ is(X2,X3) ) ) ),
inference(split_equiv,[status(thm)],[c_0_2]) ).
tff(c_0_5,axiom,
! [X2: rat,X3: rat] :
~ ( epred3_2(X3,X2)
=> ~ ( ( ( ( ( ( ec3($false,$false,$false)
| less(X2,X3) )
& ( ec3($false,$false,$true)
| ~ less(X2,X3) ) )
| more(X2,X3) )
& ( ( ( ec3($false,$true,$false)
| less(X2,X3) )
& ( ec3($false,$true,$true)
| ~ less(X2,X3) ) )
| ~ more(X2,X3) ) )
| is(X2,X3) )
& ( ( ( ( ( ec3($true,$false,$false)
| less(X2,X3) )
& ( ec3($true,$false,$true)
| ~ less(X2,X3) ) )
| more(X2,X3) )
& ( ( ( ec3($true,$true,$false)
| less(X2,X3) )
& ( ec3($true,$true,$true)
| ~ less(X2,X3) ) )
| ~ more(X2,X3) ) )
| ~ is(X2,X3) ) ) ),
inference(apply_def,[status(thm)],[inference(fool_unroll,[status(thm)],[satz81]),c_0_2]) ).
tff(c_0_6,plain,
( ( ( ( ( ( or3($false,$false,$false)
| less(x0,y0) )
& ( or3($false,$false,$true)
| ~ less(x0,y0) ) )
| more(x0,y0) )
& ( ( ( or3($false,$true,$false)
| less(x0,y0) )
& ( or3($false,$true,$true)
| ~ less(x0,y0) ) )
| ~ more(x0,y0) ) )
| is(x0,y0) )
=> epred2_0 ),
inference(split_equiv,[status(thm)],[c_0_3]) ).
tff(c_0_7,plain,
! [X6: rat,X7: rat] :
( ( ~ epred3_2(X7,X6)
| is(X6,X7)
| more(X6,X7)
| or3($false,$false,$false)
| less(X6,X7) )
& ( ~ epred3_2(X7,X6)
| is(X6,X7)
| more(X6,X7)
| or3($false,$false,$true)
| ~ less(X6,X7) )
& ( ~ epred3_2(X7,X6)
| is(X6,X7)
| ~ more(X6,X7)
| or3($false,$true,$false)
| less(X6,X7) )
& ( ~ epred3_2(X7,X6)
| is(X6,X7)
| ~ more(X6,X7)
| or3($false,$true,$true)
| ~ less(X6,X7) )
& ( ~ epred3_2(X7,X6)
| ~ is(X6,X7)
| more(X6,X7)
| or3($true,$false,$false)
| less(X6,X7) )
& ( ~ epred3_2(X7,X6)
| ~ is(X6,X7)
| more(X6,X7)
| or3($true,$false,$true)
| ~ less(X6,X7) )
& ( ~ epred3_2(X7,X6)
| ~ is(X6,X7)
| ~ more(X6,X7)
| or3($true,$true,$false)
| less(X6,X7) )
& ( ~ epred3_2(X7,X6)
| ~ is(X6,X7)
| ~ more(X6,X7)
| or3($true,$true,$true)
| ~ less(X6,X7) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])]) ).
tff(c_0_8,plain,
! [X4: rat,X5: rat] :
( ( is(X4,X5)
| more(X4,X5)
| ec3($false,$false,$false)
| less(X4,X5) )
& ( is(X4,X5)
| more(X4,X5)
| ec3($false,$false,$true)
| ~ less(X4,X5) )
& ( is(X4,X5)
| ~ more(X4,X5)
| ec3($false,$true,$false)
| less(X4,X5) )
& ( is(X4,X5)
| ~ more(X4,X5)
| ec3($false,$true,$true)
| ~ less(X4,X5) )
& ( ~ is(X4,X5)
| more(X4,X5)
| ec3($true,$false,$false)
| less(X4,X5) )
& ( ~ is(X4,X5)
| more(X4,X5)
| ec3($true,$false,$true)
| ~ less(X4,X5) )
& ( ~ is(X4,X5)
| ~ more(X4,X5)
| ec3($true,$true,$false)
| less(X4,X5) )
& ( ~ is(X4,X5)
| ~ more(X4,X5)
| ec3($true,$true,$true)
| ~ less(X4,X5) )
& epred3_2(X5,X4) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])]) ).
tff(c_0_9,plain,
( ( epred2_0
| ~ or3($false,$true,$true)
| ~ or3($false,$true,$false)
| ~ or3($false,$false,$true)
| ~ or3($false,$false,$false) )
& ( epred2_0
| ~ or3($false,$true,$true)
| ~ or3($false,$true,$false)
| ~ or3($false,$false,$true)
| ~ less(x0,y0) )
& ( epred2_0
| ~ or3($false,$true,$true)
| ~ or3($false,$true,$false)
| less(x0,y0)
| ~ or3($false,$false,$false) )
& ( epred2_0
| ~ or3($false,$true,$true)
| ~ or3($false,$true,$false)
| less(x0,y0)
| ~ less(x0,y0) )
& ( epred2_0
| ~ or3($false,$true,$true)
| ~ or3($false,$true,$false)
| ~ more(x0,y0) )
& ( epred2_0
| ~ or3($false,$true,$true)
| ~ less(x0,y0)
| ~ or3($false,$false,$true)
| ~ or3($false,$false,$false) )
& ( epred2_0
| ~ or3($false,$true,$true)
| ~ less(x0,y0)
| ~ or3($false,$false,$true)
| ~ less(x0,y0) )
& ( epred2_0
| ~ or3($false,$true,$true)
| ~ less(x0,y0)
| less(x0,y0)
| ~ or3($false,$false,$false) )
& ( epred2_0
| ~ or3($false,$true,$true)
| ~ less(x0,y0)
| less(x0,y0)
| ~ less(x0,y0) )
& ( epred2_0
| ~ or3($false,$true,$true)
| ~ less(x0,y0)
| ~ more(x0,y0) )
& ( epred2_0
| less(x0,y0)
| ~ or3($false,$true,$false)
| ~ or3($false,$false,$true)
| ~ or3($false,$false,$false) )
& ( epred2_0
| less(x0,y0)
| ~ or3($false,$true,$false)
| ~ or3($false,$false,$true)
| ~ less(x0,y0) )
& ( epred2_0
| less(x0,y0)
| ~ or3($false,$true,$false)
| less(x0,y0)
| ~ or3($false,$false,$false) )
& ( epred2_0
| less(x0,y0)
| ~ or3($false,$true,$false)
| less(x0,y0)
| ~ less(x0,y0) )
& ( epred2_0
| less(x0,y0)
| ~ or3($false,$true,$false)
| ~ more(x0,y0) )
& ( epred2_0
| less(x0,y0)
| ~ less(x0,y0)
| ~ or3($false,$false,$true)
| ~ or3($false,$false,$false) )
& ( epred2_0
| less(x0,y0)
| ~ less(x0,y0)
| ~ or3($false,$false,$true)
| ~ less(x0,y0) )
& ( epred2_0
| less(x0,y0)
| ~ less(x0,y0)
| less(x0,y0)
| ~ or3($false,$false,$false) )
& ( epred2_0
| less(x0,y0)
| ~ less(x0,y0)
| less(x0,y0)
| ~ less(x0,y0) )
& ( epred2_0
| less(x0,y0)
| ~ less(x0,y0)
| ~ more(x0,y0) )
& ( epred2_0
| more(x0,y0)
| ~ or3($false,$false,$true)
| ~ or3($false,$false,$false) )
& ( epred2_0
| more(x0,y0)
| ~ or3($false,$false,$true)
| ~ less(x0,y0) )
& ( epred2_0
| more(x0,y0)
| less(x0,y0)
| ~ or3($false,$false,$false) )
& ( epred2_0
| more(x0,y0)
| less(x0,y0)
| ~ less(x0,y0) )
& ( epred2_0
| more(x0,y0)
| ~ more(x0,y0) )
& ( epred2_0
| ~ is(x0,y0) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])]) ).
tcf(c_0_10,plain,
! [X3: rat,X2: rat] :
( ~ epred3_2(X3,X2)
| is(X2,X3)
| more(X2,X3)
| or3($false,$false,$false)
| less(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
tcf(c_0_11,plain,
! [X2: rat,X3: rat] : epred3_2(X2,X3),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
tcf(c_0_12,plain,
( ~ is(x0,y0)
| epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
tcf(c_0_13,plain,
! [X2: rat,X3: rat] :
( or3($false,$false,$false)
| is(X2,X3)
| more(X2,X3)
| less(X2,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_10,c_0_11])]) ).
tcf(c_0_14,plain,
( ~ or3($false,$false,$false)
| epred2_0
| more(x0,y0)
| less(x0,y0) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
tcf(c_0_15,plain,
! [X3: rat,X2: rat] :
( ~ epred3_2(X3,X2)
| ~ more(X2,X3)
| is(X2,X3)
| or3($false,$true,$false)
| less(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
tcf(c_0_16,plain,
( ~ or3($false,$true,$false)
| ~ more(x0,y0)
| epred2_0
| less(x0,y0) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
tcf(c_0_17,plain,
( more(x0,y0)
| less(x0,y0)
| epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14]) ).
tcf(c_0_18,plain,
! [X3: rat,X2: rat] :
( ~ epred3_2(X3,X2)
| ~ less(X2,X3)
| is(X2,X3)
| more(X2,X3)
| or3($false,$false,$true) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
tcf(c_0_19,plain,
! [X2: rat,X3: rat] :
( ~ more(X2,X3)
| or3($false,$true,$false)
| is(X2,X3)
| less(X2,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_11])]) ).
tcf(c_0_20,plain,
( ~ or3($false,$true,$false)
| less(x0,y0)
| epred2_0 ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
tcf(c_0_21,plain,
( ~ or3($false,$true,$true)
| ~ less(x0,y0)
| ~ or3($false,$false,$true)
| ~ less(x0,y0)
| epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
tff(c_0_22,plain,
( epred1_0
<=> ( ( ( ( ( or3($true,$false,$false)
| less(x0,y0) )
& ( or3($true,$false,$true)
| ~ less(x0,y0) ) )
| more(x0,y0) )
& ( ( ( or3($true,$true,$false)
| less(x0,y0) )
& ( or3($true,$true,$true)
| ~ less(x0,y0) ) )
| ~ more(x0,y0) ) )
| ~ is(x0,y0) ) ),
introduced(definition) ).
tcf(c_0_23,plain,
! [X2: rat,X3: rat] :
( ~ less(X2,X3)
| or3($false,$false,$true)
| is(X2,X3)
| more(X2,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_18,c_0_11])]) ).
tcf(c_0_24,plain,
( less(x0,y0)
| epred2_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_19]),c_0_17]),c_0_20]) ).
tcf(c_0_25,plain,
( ~ or3($false,$false,$true)
| ~ or3($false,$true,$true)
| ~ less(x0,y0)
| epred2_0 ),
inference(cn,[status(thm)],[c_0_21]) ).
tff(c_0_26,plain,
( ( ( ( ( ( or3($true,$false,$false)
| less(x0,y0) )
& ( or3($true,$false,$true)
| ~ less(x0,y0) ) )
| more(x0,y0) )
& ( ( ( or3($true,$true,$false)
| less(x0,y0) )
& ( or3($true,$true,$true)
| ~ less(x0,y0) ) )
| ~ more(x0,y0) ) )
| ~ is(x0,y0) )
=> epred1_0 ),
inference(split_equiv,[status(thm)],[c_0_22]) ).
tcf(c_0_27,plain,
! [X3: rat,X2: rat] :
( ~ epred3_2(X3,X2)
| ~ more(X2,X3)
| ~ less(X2,X3)
| is(X2,X3)
| or3($false,$true,$true) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
tcf(c_0_28,plain,
( ~ or3($false,$true,$true)
| ~ less(x0,y0)
| ~ more(x0,y0)
| epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
tcf(c_0_29,plain,
( or3($false,$false,$true)
| more(x0,y0)
| epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_23]),c_0_24]) ).
cnf(c_0_30,plain,
( ~ or3($false,$false,$true)
| ~ or3($false,$true,$true)
| epred2_0 ),
inference(spm,[status(thm)],[c_0_25,c_0_24]) ).
tcf(c_0_31,plain,
! [X3: rat,X2: rat] :
( ~ epred3_2(X3,X2)
| ~ is(X2,X3)
| more(X2,X3)
| or3($true,$false,$false)
| less(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
tff(c_0_32,plain,
( ( epred1_0
| ~ or3($true,$true,$true)
| ~ or3($true,$true,$false)
| ~ or3($true,$false,$true)
| ~ or3($true,$false,$false) )
& ( epred1_0
| ~ or3($true,$true,$true)
| ~ or3($true,$true,$false)
| ~ or3($true,$false,$true)
| ~ less(x0,y0) )
& ( epred1_0
| ~ or3($true,$true,$true)
| ~ or3($true,$true,$false)
| less(x0,y0)
| ~ or3($true,$false,$false) )
& ( epred1_0
| ~ or3($true,$true,$true)
| ~ or3($true,$true,$false)
| less(x0,y0)
| ~ less(x0,y0) )
& ( epred1_0
| ~ or3($true,$true,$true)
| ~ or3($true,$true,$false)
| ~ more(x0,y0) )
& ( epred1_0
| ~ or3($true,$true,$true)
| ~ less(x0,y0)
| ~ or3($true,$false,$true)
| ~ or3($true,$false,$false) )
& ( epred1_0
| ~ or3($true,$true,$true)
| ~ less(x0,y0)
| ~ or3($true,$false,$true)
| ~ less(x0,y0) )
& ( epred1_0
| ~ or3($true,$true,$true)
| ~ less(x0,y0)
| less(x0,y0)
| ~ or3($true,$false,$false) )
& ( epred1_0
| ~ or3($true,$true,$true)
| ~ less(x0,y0)
| less(x0,y0)
| ~ less(x0,y0) )
& ( epred1_0
| ~ or3($true,$true,$true)
| ~ less(x0,y0)
| ~ more(x0,y0) )
& ( epred1_0
| less(x0,y0)
| ~ or3($true,$true,$false)
| ~ or3($true,$false,$true)
| ~ or3($true,$false,$false) )
& ( epred1_0
| less(x0,y0)
| ~ or3($true,$true,$false)
| ~ or3($true,$false,$true)
| ~ less(x0,y0) )
& ( epred1_0
| less(x0,y0)
| ~ or3($true,$true,$false)
| less(x0,y0)
| ~ or3($true,$false,$false) )
& ( epred1_0
| less(x0,y0)
| ~ or3($true,$true,$false)
| less(x0,y0)
| ~ less(x0,y0) )
& ( epred1_0
| less(x0,y0)
| ~ or3($true,$true,$false)
| ~ more(x0,y0) )
& ( epred1_0
| less(x0,y0)
| ~ less(x0,y0)
| ~ or3($true,$false,$true)
| ~ or3($true,$false,$false) )
& ( epred1_0
| less(x0,y0)
| ~ less(x0,y0)
| ~ or3($true,$false,$true)
| ~ less(x0,y0) )
& ( epred1_0
| less(x0,y0)
| ~ less(x0,y0)
| less(x0,y0)
| ~ or3($true,$false,$false) )
& ( epred1_0
| less(x0,y0)
| ~ less(x0,y0)
| less(x0,y0)
| ~ less(x0,y0) )
& ( epred1_0
| less(x0,y0)
| ~ less(x0,y0)
| ~ more(x0,y0) )
& ( epred1_0
| more(x0,y0)
| ~ or3($true,$false,$true)
| ~ or3($true,$false,$false) )
& ( epred1_0
| more(x0,y0)
| ~ or3($true,$false,$true)
| ~ less(x0,y0) )
& ( epred1_0
| more(x0,y0)
| less(x0,y0)
| ~ or3($true,$false,$false) )
& ( epred1_0
| more(x0,y0)
| less(x0,y0)
| ~ less(x0,y0) )
& ( epred1_0
| more(x0,y0)
| ~ more(x0,y0) )
& ( epred1_0
| is(x0,y0) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])])]) ).
tff(c_0_33,negated_conjecture,
~ or3(is(x0,y0),more(x0,y0),less(x0,y0)),
inference(assume_negation,[status(cth)],[satz81a]) ).
tcf(c_0_34,plain,
! [X2: rat,X3: rat] :
( ~ more(X2,X3)
| ~ less(X2,X3)
| or3($false,$true,$true)
| is(X2,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_27,c_0_11])]) ).
cnf(c_0_35,plain,
( ~ or3($false,$true,$true)
| epred2_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_24]),c_0_30]) ).
tcf(c_0_36,plain,
! [X2: rat,X3: rat] :
( ~ is(X2,X3)
| or3($true,$false,$false)
| more(X2,X3)
| less(X2,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_31,c_0_11])]) ).
tcf(c_0_37,plain,
( epred1_0
| is(x0,y0) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
tcf(c_0_38,plain,
( ~ or3($true,$false,$false)
| epred1_0
| more(x0,y0)
| less(x0,y0) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
fof(c_0_39,negated_conjecture,
~ ( epred2_0
& epred1_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fool_unroll,[status(thm)],[c_0_33]),c_0_22]),c_0_3]) ).
tcf(c_0_40,plain,
( ~ more(x0,y0)
| epred2_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_34]),c_0_24]),c_0_35]) ).
tcf(c_0_41,plain,
! [X3: rat,X2: rat] :
( ~ epred3_2(X3,X2)
| ~ is(X2,X3)
| ~ more(X2,X3)
| or3($true,$true,$false)
| less(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
tcf(c_0_42,plain,
( ~ or3($true,$true,$false)
| ~ more(x0,y0)
| epred1_0
| less(x0,y0) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
tcf(c_0_43,plain,
( more(x0,y0)
| less(x0,y0)
| epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38]) ).
fof(c_0_44,negated_conjecture,
( ~ epred2_0
| ~ epred1_0 ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_39])]) ).
tcf(c_0_45,plain,
( ~ or3($false,$false,$true)
| ~ less(x0,y0)
| epred2_0
| more(x0,y0) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_46,plain,
( or3($false,$false,$true)
| epred2_0 ),
inference(spm,[status(thm)],[c_0_40,c_0_29]) ).
tcf(c_0_47,plain,
! [X3: rat,X2: rat] :
( ~ epred3_2(X3,X2)
| ~ is(X2,X3)
| ~ less(X2,X3)
| more(X2,X3)
| or3($true,$false,$true) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
tcf(c_0_48,plain,
! [X2: rat,X3: rat] :
( ~ is(X2,X3)
| ~ more(X2,X3)
| or3($true,$true,$false)
| less(X2,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_41,c_0_11])]) ).
tcf(c_0_49,plain,
( ~ or3($true,$true,$false)
| less(x0,y0)
| epred1_0 ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_50,negated_conjecture,
( ~ epred2_0
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_51,plain,
epred2_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_45]),c_0_46]),c_0_24]) ).
tcf(c_0_52,plain,
! [X2: rat,X3: rat] :
( ~ is(X2,X3)
| ~ less(X2,X3)
| or3($true,$false,$true)
| more(X2,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_47,c_0_11])]) ).
tcf(c_0_53,plain,
( less(x0,y0)
| epred1_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_37]),c_0_43]),c_0_49]) ).
tcf(c_0_54,plain,
( ~ or3($true,$true,$true)
| ~ less(x0,y0)
| ~ or3($true,$false,$true)
| ~ less(x0,y0)
| epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_55,negated_conjecture,
~ epred1_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_50,c_0_51])]) ).
tcf(c_0_56,plain,
( or3($true,$false,$true)
| more(x0,y0)
| epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_37]),c_0_53]) ).
tcf(c_0_57,plain,
( ~ or3($true,$false,$true)
| ~ or3($true,$true,$true)
| ~ less(x0,y0)
| epred1_0 ),
inference(cn,[status(thm)],[c_0_54]) ).
tcf(c_0_58,plain,
! [X3: rat,X2: rat] :
( ~ epred3_2(X3,X2)
| ~ is(X2,X3)
| ~ more(X2,X3)
| ~ less(X2,X3)
| or3($true,$true,$true) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
tcf(c_0_59,plain,
( ~ or3($true,$false,$true)
| ~ less(x0,y0)
| epred1_0
| more(x0,y0) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
tcf(c_0_60,plain,
less(x0,y0),
inference(sr,[status(thm)],[c_0_53,c_0_55]) ).
tcf(c_0_61,plain,
( or3($true,$false,$true)
| more(x0,y0) ),
inference(sr,[status(thm)],[c_0_56,c_0_55]) ).
tcf(c_0_62,plain,
( ~ or3($true,$true,$true)
| ~ less(x0,y0)
| ~ more(x0,y0)
| epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_63,plain,
( ~ or3($true,$false,$true)
| ~ or3($true,$true,$true)
| epred1_0 ),
inference(spm,[status(thm)],[c_0_57,c_0_53]) ).
tcf(c_0_64,plain,
! [X2: rat,X3: rat] :
( ~ is(X2,X3)
| ~ more(X2,X3)
| ~ less(X2,X3)
| or3($true,$true,$true) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_58,c_0_11])]) ).
tcf(c_0_65,plain,
is(x0,y0),
inference(sr,[status(thm)],[c_0_37,c_0_55]) ).
tcf(c_0_66,plain,
more(x0,y0),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_59,c_0_60])]),c_0_55]),c_0_61]) ).
cnf(c_0_67,plain,
( ~ or3($true,$true,$true)
| epred1_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_56]),c_0_53]),c_0_63]) ).
cnf(c_0_68,plain,
or3($true,$true,$true),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_60]),c_0_66])]) ).
cnf(c_0_69,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_67,c_0_68])]),c_0_55]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM783_8 : TPTP v9.3.1. Released v8.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n004.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Mon Sep 21 03:06:35 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.43 Running first-order theorem proving
% 0.10/0.43 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
% 0.10/0.45 % Version: 3.5.1
% 0.10/0.45 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.10/0.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.10/0.45 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.10/0.45 % Starting new_bool_3 with 300s (1) cores
% 0.10/0.45 % Starting new_bool_1 with 300s (1) cores
% 0.10/0.45 % Starting sh5l with 300s (1) cores
% 0.10/0.45 % sh5l with pid 2116180 completed with status 0
% 0.10/0.45 % Result found by sh5l
% 0.10/0.45 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.10/0.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.10/0.45 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.10/0.45 % Starting new_bool_3 with 300s (1) cores
% 0.10/0.45 % Starting new_bool_1 with 300s (1) cores
% 0.10/0.45 % Starting sh5l with 300s (1) cores
% 0.10/0.45 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.10/0.45 % SinE strategy is gf500_gu_R04_F100_L20000
% 0.10/0.45 % Search class: FGHNF-FFMF00-SFFFFFNN
% 0.10/0.45 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.10/0.45 % Starting SubtermCWHack with 31s (1) cores
% 0.10/0.45 % SubtermCWHack with pid 2116184 completed with status 0
% 0.10/0.45 % Result found by SubtermCWHack
% 0.10/0.45 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.10/0.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.10/0.45 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.10/0.45 % Starting new_bool_3 with 300s (1) cores
% 0.10/0.45 % Starting new_bool_1 with 300s (1) cores
% 0.10/0.45 % Starting sh5l with 300s (1) cores
% 0.10/0.45 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.10/0.45 % SinE strategy is gf500_gu_R04_F100_L20000
% 0.10/0.45 % Search class: FGHNF-FFMF00-SFFFFFNN
% 0.10/0.45 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.10/0.45 % Starting SubtermCWHack with 31s (1) cores
% 0.10/0.45 % Preprocessing time : 0.001 s
% 0.10/0.45
% 0.10/0.45 % Proof found!
% 0.10/0.45 % SZS status Theorem
% 0.10/0.45 % SZS output start CNFRefutation
% See solution above
% 0.10/0.45 % Parsed axioms : 11
% 0.10/0.45 % Removed by relevancy pruning/SinE : 9
% 0.10/0.45 % Initial clauses : 70
% 0.10/0.45 % Removed in clause preprocessing : 24
% 0.10/0.45 % Initial clauses in saturation : 46
% 0.10/0.45 % Processed clauses : 116
% 0.10/0.45 % ...of these trivial : 7
% 0.10/0.45 % ...subsumed : 27
% 0.10/0.45 % ...remaining for further processing : 82
% 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 : 31
% 0.10/0.45 % Backward-rewritten : 17
% 0.10/0.45 % Generated clauses : 203
% 0.10/0.45 % ...of the previous two non-redundant : 146
% 0.10/0.45 % ...aggressively subsumed : 0
% 0.10/0.45 % Contextual simplify-reflections : 22
% 0.10/0.45 % Paramodulations : 199
% 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 : 49
% 0.10/0.45 % ...of those cached : 42
% 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 : 30
% 0.10/0.45 % Positive orientable unit clauses : 7
% 0.10/0.45 % Positive unorientable unit clauses: 0
% 0.10/0.45 % Negative unit clauses : 1
% 0.10/0.45 % Non-unit-clauses : 22
% 0.10/0.45 % Current number of unprocessed clauses: 68
% 0.10/0.45 % ...number of literals in the above : 355
% 0.10/0.45 % Current number of archived formulas : 0
% 0.10/0.45 % Current number of archived clauses : 52
% 0.10/0.45 % Clause-clause subsumption calls (NU) : 478
% 0.10/0.45 % Rec. Clause-clause subsumption calls : 263
% 0.10/0.45 % Non-unit clause-clause subsumptions : 77
% 0.10/0.45 % Unit Clause-clause subsumption calls : 74
% 0.10/0.45 % Rewrite failures with RHS unbound : 0
% 0.10/0.45 % BW rewrite match attempts : 7
% 0.10/0.45 % BW rewrite match successes : 5
% 0.10/0.45 % Condensation attempts : 0
% 0.10/0.45 % Condensation successes : 0
% 0.10/0.45 % Termbank termtop insertions : 7247
% 0.10/0.45 % Search garbage collected termcells : 678
% 0.10/0.45
% 0.10/0.45 % -------------------------------------------------
% 0.10/0.45 % User time : 0.010 s
% 0.10/0.45 % System time : 0.001 s
% 0.10/0.45 % Total time : 0.011 s
% 0.10/0.45 % Maximum resident set size: 3636 pages
% 0.10/0.45
% 0.10/0.45 % -------------------------------------------------
% 0.10/0.45 % User time : 0.011 s
% 0.10/0.45 % System time : 0.006 s
% 0.10/0.45 % Total time : 0.017 s
% 0.10/0.45 % Maximum resident set size: 4864 pages
% 0.10/0.45 % E exiting
%------------------------------------------------------------------------------