%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : ANA003-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 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 : Sun Sep 27 06:50:13 AM UTC 2026
% Result : Unsatisfiable 93.32s 21.17s
% Output : Refutation 94.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 17
% Syntax : Number of formulae : 771 ( 260 unt; 0 typ; 0 def)
% Number of atoms : 2435 ( 897 equ; 0 cnn)
% Maximal formula atoms : 5 ( 3 avg)
% Number of connectives : 7724 (1245 ~; 756 |; 0 &;5723 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 20 ( 17 usr; 7 con; 0-2 aty)
% Number of variables : 609 ( 0 ^; 609 !; 0 ?; 609 :)
% Comments :
%------------------------------------------------------------------------------
thf(less_than_decl,type,
less_than: $i > $i > $o ).
thf(n0_decl,type,
n0: $i ).
thf(fp31_decl,type,
fp31: $i > $i ).
thf(absolute_decl,type,
absolute: $i > $i ).
thf(add_decl,type,
add: $i > $i > $i ).
thf(minus_decl,type,
minus: $i > $i ).
thf(a_decl,type,
a: $i ).
thf(f_decl,type,
f: $i > $i ).
thf(l1_decl,type,
l1: $i ).
thf(fp32_decl,type,
fp32: $i > $i ).
thf(g_decl,type,
g: $i > $i ).
thf(l2_decl,type,
l2: $i ).
thf(b_decl,type,
b: $i ).
thf(fp33_decl,type,
fp33: $i > $i ).
thf(equalish_decl,type,
equalish: $i > $i > $o ).
thf(minimum_decl,type,
minimum: $i > $i > $i ).
thf(half_decl,type,
half: $i > $i ).
thf(5,negated_conjecture,
b @ ( n0 @ less_than ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_14) ).
thf(18,plain,
b @ ( n0 @ less_than ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(3,negated_conjecture,
! [A: $i] :
( ( A @ fp32 @ ( n0 @ less_than ) )
| ~ ( A @ ( n0 @ less_than ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_12) ).
thf(23,plain,
! [A: $i] :
( ( A @ fp32 @ ( n0 @ less_than ) )
| ~ ( A @ ( n0 @ less_than ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(29,plain,
! [A: $i] :
( ( A @ fp32 @ ( n0 @ less_than ) )
| ~ ( A @ ( n0 @ less_than ) ) ),
inference(cnf,[status(esa)],[23]) ).
thf(76,plain,
! [A: $i] :
( ( ( b @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ fp32 @ ( n0 @ less_than ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[18,29]) ).
thf(77,plain,
! [A: $i] :
( ( ( b @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ fp32 @ ( n0 @ less_than ) ) ),
inference(simp,[status(thm)],[76]) ).
thf(78,plain,
b @ fp32 @ ( n0 @ less_than ),
inference(pattern_uni,[status(thm)],[77:[bind(A,$thf( b ))]]) ).
thf(4,negated_conjecture,
! [B: $i,A: $i] :
( ( A @ ( l2 @ minus @ ( B @ g @ add ) @ absolute @ less_than ) )
| ~ ( A @ fp32 @ ( a @ minus @ ( B @ add ) @ absolute @ less_than ) )
| ~ ( A @ ( n0 @ less_than ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_13) ).
thf(24,plain,
! [B: $i,A: $i] :
( ( A @ ( l2 @ minus @ ( B @ g @ add ) @ absolute @ less_than ) )
| ~ ( A @ fp32 @ ( a @ minus @ ( B @ add ) @ absolute @ less_than ) )
| ~ ( A @ ( n0 @ less_than ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(25,plain,
! [B: $i,A: $i] :
( ( A @ ( l2 @ minus @ ( B @ g @ add ) @ absolute @ less_than ) )
| ~ ( A @ fp32 @ ( a @ minus @ ( B @ add ) @ absolute @ less_than ) )
| ~ ( A @ ( n0 @ less_than ) ) ),
inference(cnf,[status(esa)],[24]) ).
thf(123,plain,
! [B: $i,A: $i] :
( ( ( A @ fp32 @ ( a @ minus @ ( B @ add ) @ absolute @ less_than ) )
!= ( b @ fp32 @ ( n0 @ less_than ) ) )
| ( A @ ( l2 @ minus @ ( B @ g @ add ) @ absolute @ less_than ) )
| ~ $true
| ~ ( A @ ( n0 @ less_than ) ) ),
inference(paramod_ordered,[status(thm)],[78,25]) ).
thf(124,plain,
! [B: $i,A: $i] :
( ( ( A @ fp32 @ ( a @ minus @ ( B @ add ) @ absolute @ less_than ) )
!= ( b @ fp32 @ ( n0 @ less_than ) ) )
| ( A @ ( l2 @ minus @ ( B @ g @ add ) @ absolute @ less_than ) )
| ~ ( A @ ( n0 @ less_than ) ) ),
inference(simp,[status(thm)],[123]) ).
thf(138,plain,
! [B: $i,A: $i] :
( ( ( A @ fp32 )
!= ( b @ fp32 ) )
| ( ( a @ minus @ ( B @ add ) @ absolute )
!= n0 )
| ~ ( A @ ( n0 @ less_than ) )
| ( A @ ( l2 @ minus @ ( B @ g @ add ) @ absolute @ less_than ) ) ),
inference(simp,[status(thm)],[124]) ).
thf(1,negated_conjecture,
! [A: $i] :
( ( A @ fp31 @ ( n0 @ less_than ) )
| ~ ( A @ ( n0 @ less_than ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_10) ).
thf(19,plain,
! [A: $i] :
( ( A @ fp31 @ ( n0 @ less_than ) )
| ~ ( A @ ( n0 @ less_than ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(30,plain,
! [A: $i] :
( ( A @ fp31 @ ( n0 @ less_than ) )
| ~ ( A @ ( n0 @ less_than ) ) ),
inference(cnf,[status(esa)],[19]) ).
thf(417,plain,
! [A: $i] :
( ( ( b @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ fp31 @ ( n0 @ less_than ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[18,30]) ).
thf(418,plain,
! [A: $i] :
( ( ( b @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ fp31 @ ( n0 @ less_than ) ) ),
inference(simp,[status(thm)],[417]) ).
thf(419,plain,
b @ fp31 @ ( n0 @ less_than ),
inference(pattern_uni,[status(thm)],[418:[bind(A,$thf( b ))]]) ).
thf(495,plain,
! [A: $i] :
( ( ( b @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ fp31 @ ( n0 @ less_than ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[419,30]) ).
thf(496,plain,
! [A: $i] :
( ( ( b @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ fp31 @ ( n0 @ less_than ) ) ),
inference(simp,[status(thm)],[495]) ).
thf(497,plain,
b @ fp31 @ fp31 @ ( n0 @ less_than ),
inference(pattern_uni,[status(thm)],[496:[bind(A,$thf( b @ fp31 ))]]) ).
thf(10,axiom,
! [A: $i] :
~ ( A @ ( A @ less_than ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_of_less_than) ).
thf(33,plain,
! [A: $i] :
~ ( A @ ( A @ less_than ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(34,plain,
! [A: $i] :
~ ( A @ ( A @ less_than ) ),
inference(polarity_switch,[status(thm)],[33]) ).
thf(739,plain,
! [A: $i] :
( ( ( b @ fp31 @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( A @ less_than ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[497,34]) ).
thf(740,plain,
! [A: $i] :
( ( b @ fp31 @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( A @ less_than ) ) ),
inference(simp,[status(thm)],[739]) ).
thf(756,plain,
! [A: $i] :
( ( ( b @ fp31 @ fp31 )
!= A )
| ( n0 != A ) ),
inference(simp,[status(thm)],[740]) ).
thf(760,plain,
( ( b @ fp31 @ fp31 )
!= n0 ),
inference(simp,[status(thm)],[756]) ).
thf(485,plain,
! [A: $i] :
( ( ( b @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ fp32 @ ( n0 @ less_than ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[419,29]) ).
thf(486,plain,
! [A: $i] :
( ( ( b @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ fp32 @ ( n0 @ less_than ) ) ),
inference(simp,[status(thm)],[485]) ).
thf(487,plain,
b @ fp31 @ fp32 @ ( n0 @ less_than ),
inference(pattern_uni,[status(thm)],[486:[bind(A,$thf( b @ fp31 ))]]) ).
thf(712,plain,
! [A: $i] :
( ( ( b @ fp31 @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ fp31 @ ( n0 @ less_than ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[487,30]) ).
thf(713,plain,
! [A: $i] :
( ( ( b @ fp31 @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ fp31 @ ( n0 @ less_than ) ) ),
inference(simp,[status(thm)],[712]) ).
thf(714,plain,
b @ fp31 @ fp32 @ fp31 @ ( n0 @ less_than ),
inference(pattern_uni,[status(thm)],[713:[bind(A,$thf( b @ fp31 @ fp32 ))]]) ).
thf(439,plain,
! [B: $i,A: $i] :
( ( ( A @ fp31 @ ( n0 @ less_than ) )
!= ( B @ ( B @ less_than ) ) )
| ~ $true
| ~ ( A @ ( n0 @ less_than ) ) ),
inference(paramod_ordered,[status(thm)],[30,34]) ).
thf(440,plain,
! [B: $i,A: $i] :
( ( ( A @ fp31 @ ( n0 @ less_than ) )
!= ( B @ ( B @ less_than ) ) )
| ~ ( A @ ( n0 @ less_than ) ) ),
inference(simp,[status(thm)],[439]) ).
thf(459,plain,
! [B: $i,A: $i] :
( ( ( A @ fp31 )
!= B )
| ( n0 != B )
| ~ ( A @ ( n0 @ less_than ) ) ),
inference(simp,[status(thm)],[440]) ).
thf(466,plain,
! [A: $i] :
( ( ( A @ fp31 )
!= n0 )
| ~ ( A @ ( n0 @ less_than ) ) ),
inference(simp,[status(thm)],[459]) ).
thf(1452,plain,
! [A: $i] :
( ( ( b @ fp31 @ fp32 @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp31 )
!= n0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[714,466]) ).
thf(1453,plain,
! [A: $i] :
( ( ( b @ fp31 @ fp32 @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp31 )
!= n0 ) ),
inference(simp,[status(thm)],[1452]) ).
thf(1454,plain,
( ( b @ fp31 @ fp32 @ fp31 @ fp31 )
!= n0 ),
inference(pattern_uni,[status(thm)],[1453:[bind(A,$thf( b @ fp31 @ fp32 @ fp31 ))]]) ).
thf(17,axiom,
! [A: $i] :
( ( A @ half @ ( n0 @ less_than ) )
| ~ ( A @ ( n0 @ less_than ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
thf(47,plain,
! [A: $i] :
( ( A @ half @ ( n0 @ less_than ) )
| ~ ( A @ ( n0 @ less_than ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(48,plain,
! [A: $i] :
( ( A @ half @ ( n0 @ less_than ) )
| ~ ( A @ ( n0 @ less_than ) ) ),
inference(cnf,[status(esa)],[47]) ).
thf(4022,plain,
! [A: $i] :
( ( ( b @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ half @ ( n0 @ less_than ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[18,48]) ).
thf(4023,plain,
! [A: $i] :
( ( ( b @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ half @ ( n0 @ less_than ) ) ),
inference(simp,[status(thm)],[4022]) ).
thf(4024,plain,
b @ half @ ( n0 @ less_than ),
inference(pattern_uni,[status(thm)],[4023:[bind(A,$thf( b ))]]) ).
thf(4172,plain,
! [A: $i] :
( ( ( b @ half @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ half @ ( n0 @ less_than ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4024,48]) ).
thf(4173,plain,
! [A: $i] :
( ( ( b @ half @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ half @ ( n0 @ less_than ) ) ),
inference(simp,[status(thm)],[4172]) ).
thf(4174,plain,
b @ half @ half @ ( n0 @ less_than ),
inference(pattern_uni,[status(thm)],[4173:[bind(A,$thf( b @ half ))]]) ).
thf(4830,plain,
! [A: $i] :
( ( ( b @ half @ half @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ fp32 @ ( n0 @ less_than ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4174,29]) ).
thf(4831,plain,
! [A: $i] :
( ( ( b @ half @ half @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ fp32 @ ( n0 @ less_than ) ) ),
inference(simp,[status(thm)],[4830]) ).
thf(4832,plain,
b @ half @ half @ fp32 @ ( n0 @ less_than ),
inference(pattern_uni,[status(thm)],[4831:[bind(A,$thf( b @ half @ half ))]]) ).
thf(81,plain,
! [B: $i,A: $i] :
( ( ( A @ fp32 @ ( n0 @ less_than ) )
!= ( B @ ( B @ less_than ) ) )
| ~ $true
| ~ ( A @ ( n0 @ less_than ) ) ),
inference(paramod_ordered,[status(thm)],[29,34]) ).
thf(82,plain,
! [B: $i,A: $i] :
( ( ( A @ fp32 @ ( n0 @ less_than ) )
!= ( B @ ( B @ less_than ) ) )
| ~ ( A @ ( n0 @ less_than ) ) ),
inference(simp,[status(thm)],[81]) ).
thf(85,plain,
! [B: $i,A: $i] :
( ( ( A @ fp32 )
!= B )
| ( n0 != B )
| ~ ( A @ ( n0 @ less_than ) ) ),
inference(simp,[status(thm)],[82]) ).
thf(86,plain,
! [A: $i] :
( ( ( A @ fp32 )
!= n0 )
| ~ ( A @ ( n0 @ less_than ) ) ),
inference(simp,[status(thm)],[85]) ).
thf(6429,plain,
! [A: $i] :
( ( ( b @ half @ half @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp32 )
!= n0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4832,86]) ).
thf(6430,plain,
! [A: $i] :
( ( ( b @ half @ half @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp32 )
!= n0 ) ),
inference(simp,[status(thm)],[6429]) ).
thf(6431,plain,
( ( b @ half @ half @ fp32 @ fp32 )
!= n0 ),
inference(pattern_uni,[status(thm)],[6430:[bind(A,$thf( b @ half @ half @ fp32 ))]]) ).
thf(736,plain,
! [A: $i] :
( ( ( b @ fp31 @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ fp32 @ ( n0 @ less_than ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[497,29]) ).
thf(737,plain,
! [A: $i] :
( ( ( b @ fp31 @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ fp32 @ ( n0 @ less_than ) ) ),
inference(simp,[status(thm)],[736]) ).
thf(738,plain,
b @ fp31 @ fp31 @ fp32 @ ( n0 @ less_than ),
inference(pattern_uni,[status(thm)],[737:[bind(A,$thf( b @ fp31 @ fp31 ))]]) ).
thf(3967,plain,
! [A: $i] :
( ( ( b @ fp31 @ fp31 @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ half @ ( n0 @ less_than ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[738,48]) ).
thf(3968,plain,
! [A: $i] :
( ( ( b @ fp31 @ fp31 @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ half @ ( n0 @ less_than ) ) ),
inference(simp,[status(thm)],[3967]) ).
thf(3969,plain,
b @ fp31 @ fp31 @ fp32 @ half @ ( n0 @ less_than ),
inference(pattern_uni,[status(thm)],[3968:[bind(A,$thf( b @ fp31 @ fp31 @ fp32 ))]]) ).
thf(430,plain,
! [A: $i] :
( ( ( b @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ fp31 @ ( n0 @ less_than ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[78,30]) ).
thf(431,plain,
! [A: $i] :
( ( ( b @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ fp31 @ ( n0 @ less_than ) ) ),
inference(simp,[status(thm)],[430]) ).
thf(432,plain,
b @ fp32 @ fp31 @ ( n0 @ less_than ),
inference(pattern_uni,[status(thm)],[431:[bind(A,$thf( b @ fp32 ))]]) ).
thf(673,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ fp31 @ ( n0 @ less_than ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[432,30]) ).
thf(674,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ fp31 @ ( n0 @ less_than ) ) ),
inference(simp,[status(thm)],[673]) ).
thf(675,plain,
b @ fp32 @ fp31 @ fp31 @ ( n0 @ less_than ),
inference(pattern_uni,[status(thm)],[674:[bind(A,$thf( b @ fp32 @ fp31 ))]]) ).
thf(4013,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp31 @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ half @ ( n0 @ less_than ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[675,48]) ).
thf(4014,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp31 @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ half @ ( n0 @ less_than ) ) ),
inference(simp,[status(thm)],[4013]) ).
thf(4015,plain,
b @ fp32 @ fp31 @ fp31 @ half @ ( n0 @ less_than ),
inference(pattern_uni,[status(thm)],[4014:[bind(A,$thf( b @ fp32 @ fp31 @ fp31 ))]]) ).
thf(4192,plain,
! [A: $i] :
( ( ( b @ half @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ fp31 @ ( n0 @ less_than ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4024,30]) ).
thf(4193,plain,
! [A: $i] :
( ( ( b @ half @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ fp31 @ ( n0 @ less_than ) ) ),
inference(simp,[status(thm)],[4192]) ).
thf(4194,plain,
b @ half @ fp31 @ ( n0 @ less_than ),
inference(pattern_uni,[status(thm)],[4193:[bind(A,$thf( b @ half ))]]) ).
thf(4956,plain,
! [A: $i] :
( ( ( b @ half @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ half @ ( n0 @ less_than ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4194,48]) ).
thf(4957,plain,
! [A: $i] :
( ( ( b @ half @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ half @ ( n0 @ less_than ) ) ),
inference(simp,[status(thm)],[4956]) ).
thf(4958,plain,
b @ half @ fp31 @ half @ ( n0 @ less_than ),
inference(pattern_uni,[status(thm)],[4957:[bind(A,$thf( b @ half @ fp31 ))]]) ).
thf(6806,plain,
! [A: $i] :
( ( ( b @ half @ fp31 @ half @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp32 )
!= n0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4958,86]) ).
thf(6807,plain,
! [A: $i] :
( ( ( b @ half @ fp31 @ half @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp32 )
!= n0 ) ),
inference(simp,[status(thm)],[6806]) ).
thf(6808,plain,
( ( b @ half @ fp31 @ half @ fp32 )
!= n0 ),
inference(pattern_uni,[status(thm)],[6807:[bind(A,$thf( b @ half @ fp31 @ half ))]]) ).
thf(477,plain,
! [A: $i] :
( ( ( b @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp32 )
!= n0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[419,86]) ).
thf(478,plain,
! [A: $i] :
( ( ( b @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp32 )
!= n0 ) ),
inference(simp,[status(thm)],[477]) ).
thf(479,plain,
( ( b @ fp31 @ fp32 )
!= n0 ),
inference(pattern_uni,[status(thm)],[478:[bind(A,$thf( b @ fp31 ))]]) ).
thf(4920,plain,
! [A: $i] :
( ( ( b @ half @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ fp32 @ ( n0 @ less_than ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4194,29]) ).
thf(4921,plain,
! [A: $i] :
( ( ( b @ half @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ fp32 @ ( n0 @ less_than ) ) ),
inference(simp,[status(thm)],[4920]) ).
thf(4922,plain,
b @ half @ fp31 @ fp32 @ ( n0 @ less_than ),
inference(pattern_uni,[status(thm)],[4921:[bind(A,$thf( b @ half @ fp31 ))]]) ).
thf(6710,plain,
! [A: $i] :
( ( ( b @ half @ fp31 @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp32 )
!= n0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4922,86]) ).
thf(6711,plain,
! [A: $i] :
( ( ( b @ half @ fp31 @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp32 )
!= n0 ) ),
inference(simp,[status(thm)],[6710]) ).
thf(6712,plain,
( ( b @ half @ fp31 @ fp32 @ fp32 )
!= n0 ),
inference(pattern_uni,[status(thm)],[6711:[bind(A,$thf( b @ half @ fp31 @ fp32 ))]]) ).
thf(4868,plain,
! [A: $i] :
( ( ( b @ half @ half @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ half @ ( n0 @ less_than ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4174,48]) ).
thf(4869,plain,
! [A: $i] :
( ( ( b @ half @ half @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ half @ ( n0 @ less_than ) ) ),
inference(simp,[status(thm)],[4868]) ).
thf(4870,plain,
b @ half @ half @ half @ ( n0 @ less_than ),
inference(pattern_uni,[status(thm)],[4869:[bind(A,$thf( b @ half @ half ))]]) ).
thf(6525,plain,
! [A: $i] :
( ( ( b @ half @ half @ half @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp32 )
!= n0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4870,86]) ).
thf(6526,plain,
! [A: $i] :
( ( ( b @ half @ half @ half @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp32 )
!= n0 ) ),
inference(simp,[status(thm)],[6525]) ).
thf(6527,plain,
( ( b @ half @ half @ half @ fp32 )
!= n0 ),
inference(pattern_uni,[status(thm)],[6526:[bind(A,$thf( b @ half @ half @ half ))]]) ).
thf(7,negated_conjecture,
! [A: $i] :
( ~ ( b @ ( l2 @ minus @ ( A @ fp33 @ g @ add ) @ absolute @ ( l1 @ minus @ ( A @ fp33 @ f @ add ) @ absolute @ add ) @ less_than ) )
| ~ ( A @ ( n0 @ less_than ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_16) ).
thf(22,plain,
! [A: $i] :
( ~ ( b @ ( l2 @ minus @ ( A @ fp33 @ g @ add ) @ absolute @ ( l1 @ minus @ ( A @ fp33 @ f @ add ) @ absolute @ add ) @ less_than ) )
| ~ ( A @ ( n0 @ less_than ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(28,plain,
! [A: $i] :
( ~ ( b @ ( l2 @ minus @ ( A @ fp33 @ g @ add ) @ absolute @ ( l1 @ minus @ ( A @ fp33 @ f @ add ) @ absolute @ add ) @ less_than ) )
| ~ ( A @ ( n0 @ less_than ) ) ),
inference(cnf,[status(esa)],[22]) ).
thf(71,plain,
! [B: $i,A: $i] :
( ( ( A @ fp32 @ ( n0 @ less_than ) )
!= ( B @ ( n0 @ less_than ) ) )
| ~ ( b @ ( l2 @ minus @ ( B @ fp33 @ g @ add ) @ absolute @ ( l1 @ minus @ ( B @ fp33 @ f @ add ) @ absolute @ add ) @ less_than ) )
| ~ $true
| ~ ( A @ ( n0 @ less_than ) ) ),
inference(paramod_ordered,[status(thm)],[29,28]) ).
thf(72,plain,
! [B: $i,A: $i] :
( ( ( A @ fp32 @ ( n0 @ less_than ) )
!= ( B @ ( n0 @ less_than ) ) )
| ~ ( b @ ( l2 @ minus @ ( B @ fp33 @ g @ add ) @ absolute @ ( l1 @ minus @ ( B @ fp33 @ f @ add ) @ absolute @ add ) @ less_than ) )
| ~ ( A @ ( n0 @ less_than ) ) ),
inference(simp,[status(thm)],[71]) ).
thf(73,plain,
! [A: $i] :
( ~ ( b @ ( l2 @ minus @ ( A @ fp32 @ fp33 @ g @ add ) @ absolute @ ( l1 @ minus @ ( A @ fp32 @ fp33 @ f @ add ) @ absolute @ add ) @ less_than ) )
| ~ ( A @ ( n0 @ less_than ) ) ),
inference(pattern_uni,[status(thm)],[72:[bind(A,$thf( C )),bind(B,$thf( C @ fp32 ))]]) ).
thf(88,plain,
! [A: $i] :
( ~ ( b @ ( l2 @ minus @ ( A @ fp32 @ fp33 @ g @ add ) @ absolute @ ( l1 @ minus @ ( A @ fp32 @ fp33 @ f @ add ) @ absolute @ add ) @ less_than ) )
| ~ ( A @ ( n0 @ less_than ) ) ),
inference(simp,[status(thm)],[73]) ).
thf(96,plain,
! [A: $i] :
( ( ( b @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ fp32 @ ( n0 @ less_than ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[78,29]) ).
thf(97,plain,
! [A: $i] :
( ( ( b @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ fp32 @ ( n0 @ less_than ) ) ),
inference(simp,[status(thm)],[96]) ).
thf(98,plain,
b @ fp32 @ fp32 @ ( n0 @ less_than ),
inference(pattern_uni,[status(thm)],[97:[bind(A,$thf( b @ fp32 ))]]) ).
thf(166,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ fp32 @ ( n0 @ less_than ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[98,29]) ).
thf(167,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ fp32 @ ( n0 @ less_than ) ) ),
inference(simp,[status(thm)],[166]) ).
thf(168,plain,
b @ fp32 @ fp32 @ fp32 @ ( n0 @ less_than ),
inference(pattern_uni,[status(thm)],[167:[bind(A,$thf( b @ fp32 @ fp32 ))]]) ).
thf(189,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp32 @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ fp32 @ ( n0 @ less_than ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[168,29]) ).
thf(190,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp32 @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ fp32 @ ( n0 @ less_than ) ) ),
inference(simp,[status(thm)],[189]) ).
thf(191,plain,
b @ fp32 @ fp32 @ fp32 @ fp32 @ ( n0 @ less_than ),
inference(pattern_uni,[status(thm)],[190:[bind(A,$thf( b @ fp32 @ fp32 @ fp32 ))]]) ).
thf(406,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp32 @ fp32 @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ fp31 @ ( n0 @ less_than ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[191,30]) ).
thf(407,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp32 @ fp32 @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ fp31 @ ( n0 @ less_than ) ) ),
inference(simp,[status(thm)],[406]) ).
thf(408,plain,
b @ fp32 @ fp32 @ fp32 @ fp32 @ fp31 @ ( n0 @ less_than ),
inference(pattern_uni,[status(thm)],[407:[bind(A,$thf( b @ fp32 @ fp32 @ fp32 @ fp32 ))]]) ).
thf(3999,plain,
! [A: $i] :
( ( ( b @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ half @ ( n0 @ less_than ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[419,48]) ).
thf(4000,plain,
! [A: $i] :
( ( ( b @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ half @ ( n0 @ less_than ) ) ),
inference(simp,[status(thm)],[3999]) ).
thf(4001,plain,
b @ fp31 @ half @ ( n0 @ less_than ),
inference(pattern_uni,[status(thm)],[4000:[bind(A,$thf( b @ fp31 ))]]) ).
thf(4337,plain,
! [A: $i] :
( ( ( b @ fp31 @ half @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp32 )
!= n0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4001,86]) ).
thf(4338,plain,
! [A: $i] :
( ( ( b @ fp31 @ half @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp32 )
!= n0 ) ),
inference(simp,[status(thm)],[4337]) ).
thf(4339,plain,
( ( b @ fp31 @ half @ fp32 )
!= n0 ),
inference(pattern_uni,[status(thm)],[4338:[bind(A,$thf( b @ fp31 @ half ))]]) ).
thf(728,plain,
! [A: $i] :
( ( ( b @ fp31 @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp32 )
!= n0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[497,86]) ).
thf(729,plain,
! [A: $i] :
( ( ( b @ fp31 @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp32 )
!= n0 ) ),
inference(simp,[status(thm)],[728]) ).
thf(730,plain,
( ( b @ fp31 @ fp31 @ fp32 )
!= n0 ),
inference(pattern_uni,[status(thm)],[729:[bind(A,$thf( b @ fp31 @ fp31 ))]]) ).
thf(697,plain,
! [A: $i] :
( ( ( b @ fp31 @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ fp32 @ ( n0 @ less_than ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[487,29]) ).
thf(698,plain,
! [A: $i] :
( ( ( b @ fp31 @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ fp32 @ ( n0 @ less_than ) ) ),
inference(simp,[status(thm)],[697]) ).
thf(699,plain,
b @ fp31 @ fp32 @ fp32 @ ( n0 @ less_than ),
inference(pattern_uni,[status(thm)],[698:[bind(A,$thf( b @ fp31 @ fp32 ))]]) ).
thf(1399,plain,
! [A: $i] :
( ( ( b @ fp31 @ fp32 @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp32 )
!= n0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[699,86]) ).
thf(1400,plain,
! [A: $i] :
( ( ( b @ fp31 @ fp32 @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp32 )
!= n0 ) ),
inference(simp,[status(thm)],[1399]) ).
thf(1401,plain,
( ( b @ fp31 @ fp32 @ fp32 @ fp32 )
!= n0 ),
inference(pattern_uni,[status(thm)],[1400:[bind(A,$thf( b @ fp31 @ fp32 @ fp32 ))]]) ).
thf(751,plain,
! [A: $i] :
( ( ( b @ fp31 @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ fp31 @ ( n0 @ less_than ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[497,30]) ).
thf(752,plain,
! [A: $i] :
( ( ( b @ fp31 @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ fp31 @ ( n0 @ less_than ) ) ),
inference(simp,[status(thm)],[751]) ).
thf(753,plain,
b @ fp31 @ fp31 @ fp31 @ ( n0 @ less_than ),
inference(pattern_uni,[status(thm)],[752:[bind(A,$thf( b @ fp31 @ fp31 ))]]) ).
thf(1567,plain,
! [A: $i] :
( ( ( b @ fp31 @ fp31 @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp32 )
!= n0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[753,86]) ).
thf(1568,plain,
! [A: $i] :
( ( ( b @ fp31 @ fp31 @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp32 )
!= n0 ) ),
inference(simp,[status(thm)],[1567]) ).
thf(1569,plain,
( ( b @ fp31 @ fp31 @ fp31 @ fp32 )
!= n0 ),
inference(pattern_uni,[status(thm)],[1568:[bind(A,$thf( b @ fp31 @ fp31 @ fp31 ))]]) ).
thf(4139,plain,
! [A: $i] :
( ( ( b @ half @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ fp32 @ ( n0 @ less_than ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4024,29]) ).
thf(4140,plain,
! [A: $i] :
( ( ( b @ half @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ fp32 @ ( n0 @ less_than ) ) ),
inference(simp,[status(thm)],[4139]) ).
thf(4141,plain,
b @ half @ fp32 @ ( n0 @ less_than ),
inference(pattern_uni,[status(thm)],[4140:[bind(A,$thf( b @ half ))]]) ).
thf(4775,plain,
! [A: $i] :
( ( ( b @ half @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ half @ ( n0 @ less_than ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4141,48]) ).
thf(4776,plain,
! [A: $i] :
( ( ( b @ half @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ half @ ( n0 @ less_than ) ) ),
inference(simp,[status(thm)],[4775]) ).
thf(4777,plain,
b @ half @ fp32 @ half @ ( n0 @ less_than ),
inference(pattern_uni,[status(thm)],[4776:[bind(A,$thf( b @ half @ fp32 ))]]) ).
thf(6244,plain,
! [A: $i] :
( ( ( b @ half @ fp32 @ half @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp32 )
!= n0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4777,86]) ).
thf(6245,plain,
! [A: $i] :
( ( ( b @ half @ fp32 @ half @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp32 )
!= n0 ) ),
inference(simp,[status(thm)],[6244]) ).
thf(6246,plain,
( ( b @ half @ fp32 @ half @ fp32 )
!= n0 ),
inference(pattern_uni,[status(thm)],[6245:[bind(A,$thf( b @ half @ fp32 @ half ))]]) ).
thf(1375,plain,
! [A: $i] :
( ( ( b @ fp31 @ fp32 @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ fp32 @ ( n0 @ less_than ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[699,29]) ).
thf(1376,plain,
! [A: $i] :
( ( ( b @ fp31 @ fp32 @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ fp32 @ ( n0 @ less_than ) ) ),
inference(simp,[status(thm)],[1375]) ).
thf(1377,plain,
b @ fp31 @ fp32 @ fp32 @ fp32 @ ( n0 @ less_than ),
inference(pattern_uni,[status(thm)],[1376:[bind(A,$thf( b @ fp31 @ fp32 @ fp32 ))]]) ).
thf(3042,plain,
! [A: $i] :
( ( ( b @ fp31 @ fp32 @ fp32 @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp32 )
!= n0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1377,86]) ).
thf(3043,plain,
! [A: $i] :
( ( ( b @ fp31 @ fp32 @ fp32 @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp32 )
!= n0 ) ),
inference(simp,[status(thm)],[3042]) ).
thf(3044,plain,
( ( b @ fp31 @ fp32 @ fp32 @ fp32 @ fp32 )
!= n0 ),
inference(pattern_uni,[status(thm)],[3043:[bind(A,$thf( b @ fp31 @ fp32 @ fp32 @ fp32 ))]]) ).
thf(412,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ fp31 @ ( n0 @ less_than ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[98,30]) ).
thf(413,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ fp31 @ ( n0 @ less_than ) ) ),
inference(simp,[status(thm)],[412]) ).
thf(414,plain,
b @ fp32 @ fp32 @ fp31 @ ( n0 @ less_than ),
inference(pattern_uni,[status(thm)],[413:[bind(A,$thf( b @ fp32 @ fp32 ))]]) ).
thf(978,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp32 @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ fp31 @ ( n0 @ less_than ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[414,30]) ).
thf(979,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp32 @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ fp31 @ ( n0 @ less_than ) ) ),
inference(simp,[status(thm)],[978]) ).
thf(980,plain,
b @ fp32 @ fp32 @ fp31 @ fp31 @ ( n0 @ less_than ),
inference(pattern_uni,[status(thm)],[979:[bind(A,$thf( b @ fp32 @ fp32 @ fp31 ))]]) ).
thf(2314,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp32 @ fp31 @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp31 )
!= n0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[980,466]) ).
thf(2315,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp32 @ fp31 @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp31 )
!= n0 ) ),
inference(simp,[status(thm)],[2314]) ).
thf(2316,plain,
( ( b @ fp32 @ fp32 @ fp31 @ fp31 @ fp31 )
!= n0 ),
inference(pattern_uni,[status(thm)],[2315:[bind(A,$thf( b @ fp32 @ fp32 @ fp31 @ fp31 ))]]) ).
thf(658,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ fp32 @ ( n0 @ less_than ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[432,29]) ).
thf(659,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ fp32 @ ( n0 @ less_than ) ) ),
inference(simp,[status(thm)],[658]) ).
thf(660,plain,
b @ fp32 @ fp31 @ fp32 @ ( n0 @ less_than ),
inference(pattern_uni,[status(thm)],[659:[bind(A,$thf( b @ fp32 @ fp31 ))]]) ).
thf(1091,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp31 @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ fp31 @ ( n0 @ less_than ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[660,30]) ).
thf(1092,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp31 @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ fp31 @ ( n0 @ less_than ) ) ),
inference(simp,[status(thm)],[1091]) ).
thf(1093,plain,
b @ fp32 @ fp31 @ fp32 @ fp31 @ ( n0 @ less_than ),
inference(pattern_uni,[status(thm)],[1092:[bind(A,$thf( b @ fp32 @ fp31 @ fp32 ))]]) ).
thf(2457,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp31 @ fp32 @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp32 )
!= n0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1093,86]) ).
thf(2458,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp31 @ fp32 @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp32 )
!= n0 ) ),
inference(simp,[status(thm)],[2457]) ).
thf(2459,plain,
( ( b @ fp32 @ fp31 @ fp32 @ fp31 @ fp32 )
!= n0 ),
inference(pattern_uni,[status(thm)],[2458:[bind(A,$thf( b @ fp32 @ fp31 @ fp32 @ fp31 ))]]) ).
thf(1340,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp31 @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp31 )
!= n0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[675,466]) ).
thf(1341,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp31 @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp31 )
!= n0 ) ),
inference(simp,[status(thm)],[1340]) ).
thf(1342,plain,
( ( b @ fp32 @ fp31 @ fp31 @ fp31 )
!= n0 ),
inference(pattern_uni,[status(thm)],[1341:[bind(A,$thf( b @ fp32 @ fp31 @ fp31 ))]]) ).
thf(14,axiom,
! [B: $i,A: $i] :
( ( B @ ( B @ ( A @ minimum ) @ less_than ) )
| ~ ( B @ ( n0 @ less_than ) )
| ~ ( A @ ( n0 @ less_than ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2_3) ).
thf(41,plain,
! [B: $i,A: $i] :
( ( B @ ( B @ ( A @ minimum ) @ less_than ) )
| ~ ( B @ ( n0 @ less_than ) )
| ~ ( A @ ( n0 @ less_than ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(42,plain,
! [B: $i,A: $i] :
( ( B @ ( B @ ( A @ minimum ) @ less_than ) )
| ~ ( B @ ( n0 @ less_than ) )
| ~ ( A @ ( n0 @ less_than ) ) ),
inference(cnf,[status(esa)],[41]) ).
thf(4321,plain,
! [A: $i] :
( ( ( b @ fp31 @ half @ ( n0 @ less_than ) )
!= ( A @ ( A @ less_than ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4001,34]) ).
thf(4322,plain,
! [A: $i] :
( ( b @ fp31 @ half @ ( n0 @ less_than ) )
!= ( A @ ( A @ less_than ) ) ),
inference(simp,[status(thm)],[4321]) ).
thf(4363,plain,
! [A: $i] :
( ( ( b @ fp31 @ half )
!= A )
| ( n0 != A ) ),
inference(simp,[status(thm)],[4322]) ).
thf(4371,plain,
( ( b @ fp31 @ half )
!= n0 ),
inference(simp,[status(thm)],[4363]) ).
thf(1357,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp31 @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ fp31 @ ( n0 @ less_than ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[675,30]) ).
thf(1358,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp31 @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ fp31 @ ( n0 @ less_than ) ) ),
inference(simp,[status(thm)],[1357]) ).
thf(1359,plain,
b @ fp32 @ fp31 @ fp31 @ fp31 @ ( n0 @ less_than ),
inference(pattern_uni,[status(thm)],[1358:[bind(A,$thf( b @ fp32 @ fp31 @ fp31 ))]]) ).
thf(4028,plain,
! [A: $i] :
( ( ( b @ fp31 @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ half @ ( n0 @ less_than ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[497,48]) ).
thf(4029,plain,
! [A: $i] :
( ( ( b @ fp31 @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ half @ ( n0 @ less_than ) ) ),
inference(simp,[status(thm)],[4028]) ).
thf(4030,plain,
b @ fp31 @ fp31 @ half @ ( n0 @ less_than ),
inference(pattern_uni,[status(thm)],[4029:[bind(A,$thf( b @ fp31 @ fp31 ))]]) ).
thf(235,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp32 @ fp32 @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ fp32 @ ( n0 @ less_than ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[191,29]) ).
thf(236,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp32 @ fp32 @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ fp32 @ ( n0 @ less_than ) ) ),
inference(simp,[status(thm)],[235]) ).
thf(237,plain,
b @ fp32 @ fp32 @ fp32 @ fp32 @ fp32 @ ( n0 @ less_than ),
inference(pattern_uni,[status(thm)],[236:[bind(A,$thf( b @ fp32 @ fp32 @ fp32 @ fp32 ))]]) ).
thf(318,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp32 @ fp32 @ fp32 @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ fp32 @ ( n0 @ less_than ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[237,29]) ).
thf(319,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp32 @ fp32 @ fp32 @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ fp32 @ ( n0 @ less_than ) ) ),
inference(simp,[status(thm)],[318]) ).
thf(320,plain,
b @ fp32 @ fp32 @ fp32 @ fp32 @ fp32 @ fp32 @ ( n0 @ less_than ),
inference(pattern_uni,[status(thm)],[319:[bind(A,$thf( b @ fp32 @ fp32 @ fp32 @ fp32 @ fp32 ))]]) ).
thf(12,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ minimum ) @ ( n0 @ less_than ) )
| ~ ( B @ ( n0 @ less_than ) )
| ~ ( A @ ( n0 @ less_than ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2_1) ).
thf(37,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ minimum ) @ ( n0 @ less_than ) )
| ~ ( B @ ( n0 @ less_than ) )
| ~ ( A @ ( n0 @ less_than ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(1525,plain,
! [A: $i] :
( ( ( b @ fp31 @ fp31 @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ fp31 @ ( n0 @ less_than ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[738,30]) ).
thf(1526,plain,
! [A: $i] :
( ( ( b @ fp31 @ fp31 @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ fp31 @ ( n0 @ less_than ) ) ),
inference(simp,[status(thm)],[1525]) ).
thf(1527,plain,
b @ fp31 @ fp31 @ fp32 @ fp31 @ ( n0 @ less_than ),
inference(pattern_uni,[status(thm)],[1526:[bind(A,$thf( b @ fp31 @ fp31 @ fp32 ))]]) ).
thf(3595,plain,
! [A: $i] :
( ( ( b @ fp31 @ fp31 @ fp32 @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp31 )
!= n0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1527,466]) ).
thf(3596,plain,
! [A: $i] :
( ( ( b @ fp31 @ fp31 @ fp32 @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp31 )
!= n0 ) ),
inference(simp,[status(thm)],[3595]) ).
thf(3597,plain,
( ( b @ fp31 @ fp31 @ fp32 @ fp31 @ fp31 )
!= n0 ),
inference(pattern_uni,[status(thm)],[3596:[bind(A,$thf( b @ fp31 @ fp31 @ fp32 @ fp31 ))]]) ).
thf(49,plain,
! [A: $i] :
( ( ( b @ ( n0 @ less_than ) )
!= ( A @ ( A @ less_than ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[18,34]) ).
thf(50,plain,
! [A: $i] :
( ( b @ ( n0 @ less_than ) )
!= ( A @ ( A @ less_than ) ) ),
inference(simp,[status(thm)],[49]) ).
thf(51,plain,
! [A: $i] :
( ( b != A )
| ( n0 != A ) ),
inference(simp,[status(thm)],[50]) ).
thf(52,plain,
b != n0,
inference(simp,[status(thm)],[51]) ).
thf(3923,plain,
! [A: $i] :
( ( ( b @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ half @ ( n0 @ less_than ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[78,48]) ).
thf(3924,plain,
! [A: $i] :
( ( ( b @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ half @ ( n0 @ less_than ) ) ),
inference(simp,[status(thm)],[3923]) ).
thf(3925,plain,
b @ fp32 @ half @ ( n0 @ less_than ),
inference(pattern_uni,[status(thm)],[3924:[bind(A,$thf( b @ fp32 ))]]) ).
thf(4223,plain,
! [A: $i] :
( ( ( b @ fp32 @ half @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ fp32 @ ( n0 @ less_than ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[3925,29]) ).
thf(4224,plain,
! [A: $i] :
( ( ( b @ fp32 @ half @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ fp32 @ ( n0 @ less_than ) ) ),
inference(simp,[status(thm)],[4223]) ).
thf(4225,plain,
b @ fp32 @ half @ fp32 @ ( n0 @ less_than ),
inference(pattern_uni,[status(thm)],[4224:[bind(A,$thf( b @ fp32 @ half ))]]) ).
thf(5583,plain,
! [A: $i] :
( ( ( b @ fp32 @ half @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp31 )
!= n0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4225,466]) ).
thf(5584,plain,
! [A: $i] :
( ( ( b @ fp32 @ half @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp31 )
!= n0 ) ),
inference(simp,[status(thm)],[5583]) ).
thf(5585,plain,
( ( b @ fp32 @ half @ fp32 @ fp31 )
!= n0 ),
inference(pattern_uni,[status(thm)],[5584:[bind(A,$thf( b @ fp32 @ half @ fp32 ))]]) ).
thf(4010,plain,
! [A: $i] :
( ( ( b @ fp31 @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ half @ ( n0 @ less_than ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[487,48]) ).
thf(4011,plain,
! [A: $i] :
( ( ( b @ fp31 @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ half @ ( n0 @ less_than ) ) ),
inference(simp,[status(thm)],[4010]) ).
thf(4012,plain,
b @ fp31 @ fp32 @ half @ ( n0 @ less_than ),
inference(pattern_uni,[status(thm)],[4011:[bind(A,$thf( b @ fp31 @ fp32 ))]]) ).
thf(5304,plain,
! [A: $i] :
( ( ( b @ fp31 @ fp32 @ half @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp31 )
!= n0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4012,466]) ).
thf(5305,plain,
! [A: $i] :
( ( ( b @ fp31 @ fp32 @ half @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp31 )
!= n0 ) ),
inference(simp,[status(thm)],[5304]) ).
thf(5306,plain,
( ( b @ fp31 @ fp32 @ half @ fp31 )
!= n0 ),
inference(pattern_uni,[status(thm)],[5305:[bind(A,$thf( b @ fp31 @ fp32 @ half ))]]) ).
thf(1469,plain,
! [A: $i] :
( ( ( b @ fp31 @ fp32 @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ fp31 @ ( n0 @ less_than ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[714,30]) ).
thf(1470,plain,
! [A: $i] :
( ( ( b @ fp31 @ fp32 @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ fp31 @ ( n0 @ less_than ) ) ),
inference(simp,[status(thm)],[1469]) ).
thf(1471,plain,
b @ fp31 @ fp32 @ fp31 @ fp31 @ ( n0 @ less_than ),
inference(pattern_uni,[status(thm)],[1470:[bind(A,$thf( b @ fp31 @ fp32 @ fp31 ))]]) ).
thf(3273,plain,
! [A: $i] :
( ( ( b @ fp31 @ fp32 @ fp31 @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp31 )
!= n0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1471,466]) ).
thf(3274,plain,
! [A: $i] :
( ( ( b @ fp31 @ fp32 @ fp31 @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp31 )
!= n0 ) ),
inference(simp,[status(thm)],[3273]) ).
thf(3275,plain,
( ( b @ fp31 @ fp32 @ fp31 @ fp31 @ fp31 )
!= n0 ),
inference(pattern_uni,[status(thm)],[3274:[bind(A,$thf( b @ fp31 @ fp32 @ fp31 @ fp31 ))]]) ).
thf(5272,plain,
! [A: $i] :
( ( ( b @ fp31 @ fp32 @ half @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ fp32 @ ( n0 @ less_than ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4012,29]) ).
thf(5273,plain,
! [A: $i] :
( ( ( b @ fp31 @ fp32 @ half @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ fp32 @ ( n0 @ less_than ) ) ),
inference(simp,[status(thm)],[5272]) ).
thf(5274,plain,
b @ fp31 @ fp32 @ half @ fp32 @ ( n0 @ less_than ),
inference(pattern_uni,[status(thm)],[5273:[bind(A,$thf( b @ fp31 @ fp32 @ half ))]]) ).
thf(1487,plain,
! [A: $i] :
( ( ( b @ fp31 @ fp31 @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ fp32 @ ( n0 @ less_than ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[738,29]) ).
thf(1488,plain,
! [A: $i] :
( ( ( b @ fp31 @ fp31 @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ fp32 @ ( n0 @ less_than ) ) ),
inference(simp,[status(thm)],[1487]) ).
thf(1489,plain,
b @ fp31 @ fp31 @ fp32 @ fp32 @ ( n0 @ less_than ),
inference(pattern_uni,[status(thm)],[1488:[bind(A,$thf( b @ fp31 @ fp31 @ fp32 ))]]) ).
thf(3351,plain,
! [A: $i] :
( ( ( b @ fp31 @ fp31 @ fp32 @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp31 )
!= n0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1489,466]) ).
thf(3352,plain,
! [A: $i] :
( ( ( b @ fp31 @ fp31 @ fp32 @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp31 )
!= n0 ) ),
inference(simp,[status(thm)],[3351]) ).
thf(3353,plain,
( ( b @ fp31 @ fp31 @ fp32 @ fp32 @ fp31 )
!= n0 ),
inference(pattern_uni,[status(thm)],[3352:[bind(A,$thf( b @ fp31 @ fp31 @ fp32 @ fp32 ))]]) ).
thf(1543,plain,
! [A: $i] :
( ( ( b @ fp31 @ fp31 @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ fp32 @ ( n0 @ less_than ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[753,29]) ).
thf(1544,plain,
! [A: $i] :
( ( ( b @ fp31 @ fp31 @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ fp32 @ ( n0 @ less_than ) ) ),
inference(simp,[status(thm)],[1543]) ).
thf(1545,plain,
b @ fp31 @ fp31 @ fp31 @ fp32 @ ( n0 @ less_than ),
inference(pattern_uni,[status(thm)],[1544:[bind(A,$thf( b @ fp31 @ fp31 @ fp31 ))]]) ).
thf(3996,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ half @ ( n0 @ less_than ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[98,48]) ).
thf(3997,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ half @ ( n0 @ less_than ) ) ),
inference(simp,[status(thm)],[3996]) ).
thf(3998,plain,
b @ fp32 @ fp32 @ half @ ( n0 @ less_than ),
inference(pattern_uni,[status(thm)],[3997:[bind(A,$thf( b @ fp32 @ fp32 ))]]) ).
thf(4307,plain,
! [A: $i] :
( ( ( b @ fp31 @ half @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ fp32 @ ( n0 @ less_than ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4001,29]) ).
thf(4308,plain,
! [A: $i] :
( ( ( b @ fp31 @ half @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ fp32 @ ( n0 @ less_than ) ) ),
inference(simp,[status(thm)],[4307]) ).
thf(4309,plain,
b @ fp31 @ half @ fp32 @ ( n0 @ less_than ),
inference(pattern_uni,[status(thm)],[4308:[bind(A,$thf( b @ fp31 @ half ))]]) ).
thf(5864,plain,
! [A: $i] :
( ( ( b @ fp31 @ half @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp31 )
!= n0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4309,466]) ).
thf(5865,plain,
! [A: $i] :
( ( ( b @ fp31 @ half @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp31 )
!= n0 ) ),
inference(simp,[status(thm)],[5864]) ).
thf(5866,plain,
( ( b @ fp31 @ half @ fp32 @ fp31 )
!= n0 ),
inference(pattern_uni,[status(thm)],[5865:[bind(A,$thf( b @ fp31 @ half @ fp32 ))]]) ).
thf(6,negated_conjecture,
! [A: $i] :
( ( A @ ( a @ minus @ ( A @ fp33 @ add ) @ absolute @ less_than ) )
| ~ ( A @ ( n0 @ less_than ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_15) ).
thf(20,plain,
! [A: $i] :
( ( A @ ( a @ minus @ ( A @ fp33 @ add ) @ absolute @ less_than ) )
| ~ ( A @ ( n0 @ less_than ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(16,axiom,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ add ) @ absolute @ less_than ) )
| ~ ( C @ ( B @ absolute @ ( A @ absolute @ add ) @ less_than ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_17) ).
thf(45,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ add ) @ absolute @ less_than ) )
| ~ ( C @ ( B @ absolute @ ( A @ absolute @ add ) @ less_than ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(46,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ add ) @ absolute @ less_than ) )
| ~ ( C @ ( B @ absolute @ ( A @ absolute @ add ) @ less_than ) ) ),
inference(cnf,[status(esa)],[45]) ).
thf(1396,plain,
! [A: $i] :
( ( ( b @ fp31 @ fp32 @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp31 )
!= n0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[699,466]) ).
thf(1397,plain,
! [A: $i] :
( ( ( b @ fp31 @ fp32 @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp31 )
!= n0 ) ),
inference(simp,[status(thm)],[1396]) ).
thf(1398,plain,
( ( b @ fp31 @ fp32 @ fp32 @ fp31 )
!= n0 ),
inference(pattern_uni,[status(thm)],[1397:[bind(A,$thf( b @ fp31 @ fp32 @ fp32 ))]]) ).
thf(8420,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp31 @ fp31 @ half @ ( n0 @ less_than ) )
!= ( A @ ( A @ less_than ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4015,34]) ).
thf(8421,plain,
! [A: $i] :
( ( b @ fp32 @ fp31 @ fp31 @ half @ ( n0 @ less_than ) )
!= ( A @ ( A @ less_than ) ) ),
inference(simp,[status(thm)],[8420]) ).
thf(8472,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp31 @ fp31 @ half )
!= A )
| ( n0 != A ) ),
inference(simp,[status(thm)],[8421]) ).
thf(8483,plain,
( ( b @ fp32 @ fp31 @ fp31 @ half )
!= n0 ),
inference(simp,[status(thm)],[8472]) ).
thf(4769,plain,
! [A: $i] :
( ( ( b @ half @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp31 )
!= n0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4141,466]) ).
thf(4770,plain,
! [A: $i] :
( ( ( b @ half @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp31 )
!= n0 ) ),
inference(simp,[status(thm)],[4769]) ).
thf(4771,plain,
( ( b @ half @ fp32 @ fp31 )
!= n0 ),
inference(pattern_uni,[status(thm)],[4770:[bind(A,$thf( b @ half @ fp32 ))]]) ).
thf(4950,plain,
! [A: $i] :
( ( ( b @ half @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp31 )
!= n0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4194,466]) ).
thf(4951,plain,
! [A: $i] :
( ( ( b @ half @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp31 )
!= n0 ) ),
inference(simp,[status(thm)],[4950]) ).
thf(4952,plain,
( ( b @ half @ fp31 @ fp31 )
!= n0 ),
inference(pattern_uni,[status(thm)],[4951:[bind(A,$thf( b @ half @ fp31 ))]]) ).
thf(2454,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp31 @ fp32 @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp31 )
!= n0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1093,466]) ).
thf(2455,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp31 @ fp32 @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp31 )
!= n0 ) ),
inference(simp,[status(thm)],[2454]) ).
thf(2456,plain,
( ( b @ fp32 @ fp31 @ fp32 @ fp31 @ fp31 )
!= n0 ),
inference(pattern_uni,[status(thm)],[2455:[bind(A,$thf( b @ fp32 @ fp31 @ fp32 @ fp31 ))]]) ).
thf(4849,plain,
! [A: $i] :
( ( ( b @ half @ half @ ( n0 @ less_than ) )
!= ( A @ ( A @ less_than ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4174,34]) ).
thf(4850,plain,
! [A: $i] :
( ( b @ half @ half @ ( n0 @ less_than ) )
!= ( A @ ( A @ less_than ) ) ),
inference(simp,[status(thm)],[4849]) ).
thf(4892,plain,
! [A: $i] :
( ( ( b @ half @ half )
!= A )
| ( n0 != A ) ),
inference(simp,[status(thm)],[4850]) ).
thf(4903,plain,
( ( b @ half @ half )
!= n0 ),
inference(simp,[status(thm)],[4892]) ).
thf(4256,plain,
! [A: $i] :
( ( ( b @ fp32 @ half @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ half @ ( n0 @ less_than ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[3925,48]) ).
thf(4257,plain,
! [A: $i] :
( ( ( b @ fp32 @ half @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ half @ ( n0 @ less_than ) ) ),
inference(simp,[status(thm)],[4256]) ).
thf(4258,plain,
b @ fp32 @ half @ half @ ( n0 @ less_than ),
inference(pattern_uni,[status(thm)],[4257:[bind(A,$thf( b @ fp32 @ half ))]]) ).
thf(4153,plain,
! [A: $i] :
( ( ( b @ half @ ( n0 @ less_than ) )
!= ( A @ ( A @ less_than ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4024,34]) ).
thf(4154,plain,
! [A: $i] :
( ( b @ half @ ( n0 @ less_than ) )
!= ( A @ ( A @ less_than ) ) ),
inference(simp,[status(thm)],[4153]) ).
thf(4195,plain,
! [A: $i] :
( ( ( b @ half )
!= A )
| ( n0 != A ) ),
inference(simp,[status(thm)],[4154]) ).
thf(4205,plain,
( ( b @ half )
!= n0 ),
inference(simp,[status(thm)],[4195]) ).
thf(1413,plain,
! [A: $i] :
( ( ( b @ fp31 @ fp32 @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ fp31 @ ( n0 @ less_than ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[699,30]) ).
thf(1414,plain,
! [A: $i] :
( ( ( b @ fp31 @ fp32 @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ fp31 @ ( n0 @ less_than ) ) ),
inference(simp,[status(thm)],[1413]) ).
thf(1415,plain,
b @ fp31 @ fp32 @ fp32 @ fp31 @ ( n0 @ less_than ),
inference(pattern_uni,[status(thm)],[1414:[bind(A,$thf( b @ fp31 @ fp32 @ fp32 ))]]) ).
thf(8315,plain,
! [A: $i] :
( ( ( b @ fp31 @ fp31 @ fp32 @ half @ ( n0 @ less_than ) )
!= ( A @ ( A @ less_than ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[3969,34]) ).
thf(8316,plain,
! [A: $i] :
( ( b @ fp31 @ fp31 @ fp32 @ half @ ( n0 @ less_than ) )
!= ( A @ ( A @ less_than ) ) ),
inference(simp,[status(thm)],[8315]) ).
thf(8366,plain,
! [A: $i] :
( ( ( b @ fp31 @ fp31 @ fp32 @ half )
!= A )
| ( n0 != A ) ),
inference(simp,[status(thm)],[8316]) ).
thf(8379,plain,
( ( b @ fp31 @ fp31 @ fp32 @ half )
!= n0 ),
inference(simp,[status(thm)],[8366]) ).
thf(3885,plain,
! [A: $i] :
( ( ( b @ fp31 @ fp32 @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ half @ ( n0 @ less_than ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[714,48]) ).
thf(3886,plain,
! [A: $i] :
( ( ( b @ fp31 @ fp32 @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ half @ ( n0 @ less_than ) ) ),
inference(simp,[status(thm)],[3885]) ).
thf(3887,plain,
b @ fp31 @ fp32 @ fp31 @ half @ ( n0 @ less_than ),
inference(pattern_uni,[status(thm)],[3886:[bind(A,$thf( b @ fp31 @ fp32 @ fp31 ))]]) ).
thf(3964,plain,
! [A: $i] :
( ( ( b @ fp31 @ fp31 @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ half @ ( n0 @ less_than ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[753,48]) ).
thf(3965,plain,
! [A: $i] :
( ( ( b @ fp31 @ fp31 @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ half @ ( n0 @ less_than ) ) ),
inference(simp,[status(thm)],[3964]) ).
thf(3966,plain,
b @ fp31 @ fp31 @ fp31 @ half @ ( n0 @ less_than ),
inference(pattern_uni,[status(thm)],[3965:[bind(A,$thf( b @ fp31 @ fp31 @ fp31 ))]]) ).
thf(374,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp32 @ fp32 @ fp32 @ fp32 @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp32 )
!= n0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[320,86]) ).
thf(375,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp32 @ fp32 @ fp32 @ fp32 @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp32 )
!= n0 ) ),
inference(simp,[status(thm)],[374]) ).
thf(376,plain,
( ( b @ fp32 @ fp32 @ fp32 @ fp32 @ fp32 @ fp32 @ fp32 )
!= n0 ),
inference(pattern_uni,[status(thm)],[375:[bind(A,$thf( b @ fp32 @ fp32 @ fp32 @ fp32 @ fp32 @ fp32 ))]]) ).
thf(5399,plain,
! [A: $i] :
( ( ( b @ fp31 @ fp31 @ half @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp31 )
!= n0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4030,466]) ).
thf(5400,plain,
! [A: $i] :
( ( ( b @ fp31 @ fp31 @ half @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp31 )
!= n0 ) ),
inference(simp,[status(thm)],[5399]) ).
thf(5401,plain,
( ( b @ fp31 @ fp31 @ half @ fp31 )
!= n0 ),
inference(pattern_uni,[status(thm)],[5400:[bind(A,$thf( b @ fp31 @ fp31 @ half ))]]) ).
thf(4276,plain,
! [A: $i] :
( ( ( b @ fp32 @ half @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ fp31 @ ( n0 @ less_than ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[3925,30]) ).
thf(4277,plain,
! [A: $i] :
( ( ( b @ fp32 @ half @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ fp31 @ ( n0 @ less_than ) ) ),
inference(simp,[status(thm)],[4276]) ).
thf(4278,plain,
b @ fp32 @ half @ fp31 @ ( n0 @ less_than ),
inference(pattern_uni,[status(thm)],[4277:[bind(A,$thf( b @ fp32 @ half ))]]) ).
thf(5770,plain,
! [A: $i] :
( ( ( b @ fp32 @ half @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp31 )
!= n0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4278,466]) ).
thf(5771,plain,
! [A: $i] :
( ( ( b @ fp32 @ half @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp31 )
!= n0 ) ),
inference(simp,[status(thm)],[5770]) ).
thf(5772,plain,
( ( b @ fp32 @ half @ fp31 @ fp31 )
!= n0 ),
inference(pattern_uni,[status(thm)],[5771:[bind(A,$thf( b @ fp32 @ half @ fp31 ))]]) ).
thf(1431,plain,
! [A: $i] :
( ( ( b @ fp31 @ fp32 @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ fp32 @ ( n0 @ less_than ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[714,29]) ).
thf(1432,plain,
! [A: $i] :
( ( ( b @ fp31 @ fp32 @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ fp32 @ ( n0 @ less_than ) ) ),
inference(simp,[status(thm)],[1431]) ).
thf(1433,plain,
b @ fp31 @ fp32 @ fp31 @ fp32 @ ( n0 @ less_than ),
inference(pattern_uni,[status(thm)],[1432:[bind(A,$thf( b @ fp31 @ fp32 @ fp31 ))]]) ).
thf(58,plain,
! [A: $i] :
( ~ $true
| ( ( b @ ( l2 @ minus @ ( A @ fp33 @ g @ add ) @ absolute @ ( l1 @ minus @ ( A @ fp33 @ f @ add ) @ absolute @ add ) @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ~ ( A @ ( n0 @ less_than ) ) ),
inference(eqfactor_ordered,[status(thm)],[28]) ).
thf(61,plain,
! [A: $i] :
( ( b != A )
| ( ( l2 @ minus @ ( A @ fp33 @ g @ add ) @ absolute @ ( l1 @ minus @ ( A @ fp33 @ f @ add ) @ absolute @ add ) )
!= n0 )
| ~ ( A @ ( n0 @ less_than ) ) ),
inference(simp,[status(thm)],[58]) ).
thf(63,plain,
( ( ( l2 @ minus @ ( b @ fp33 @ g @ add ) @ absolute @ ( l1 @ minus @ ( b @ fp33 @ f @ add ) @ absolute @ add ) )
!= n0 )
| ~ ( b @ ( n0 @ less_than ) ) ),
inference(simp,[status(thm)],[61]) ).
thf(5352,plain,
( ( ( l2 @ minus @ ( b @ fp33 @ g @ add ) @ absolute @ ( l1 @ minus @ ( b @ fp33 @ f @ add ) @ absolute @ add ) )
!= n0 )
| ~ $true ),
inference(rewrite,[status(thm)],[63,18]) ).
thf(5353,plain,
( ( l2 @ minus @ ( b @ fp33 @ g @ add ) @ absolute @ ( l1 @ minus @ ( b @ fp33 @ f @ add ) @ absolute @ add ) )
!= n0 ),
inference(simp,[status(thm)],[5352]) ).
thf(1343,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp31 @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp32 )
!= n0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[675,86]) ).
thf(1344,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp31 @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp32 )
!= n0 ) ),
inference(simp,[status(thm)],[1343]) ).
thf(1345,plain,
( ( b @ fp32 @ fp31 @ fp31 @ fp32 )
!= n0 ),
inference(pattern_uni,[status(thm)],[1344:[bind(A,$thf( b @ fp32 @ fp31 @ fp31 ))]]) ).
thf(960,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp32 @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( A @ less_than ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[414,34]) ).
thf(961,plain,
! [A: $i] :
( ( b @ fp32 @ fp32 @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( A @ less_than ) ) ),
inference(simp,[status(thm)],[960]) ).
thf(985,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp32 @ fp31 )
!= A )
| ( n0 != A ) ),
inference(simp,[status(thm)],[961]) ).
thf(988,plain,
( ( b @ fp32 @ fp32 @ fp31 )
!= n0 ),
inference(simp,[status(thm)],[985]) ).
thf(60,plain,
! [A: $i] :
( ( ( b @ ( l2 @ minus @ ( A @ fp33 @ g @ add ) @ absolute @ ( l1 @ minus @ ( A @ fp33 @ f @ add ) @ absolute @ add ) @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ~ ( A @ ( n0 @ less_than ) ) ),
inference(simp,[status(thm)],[58]) ).
thf(3677,plain,
! [A: $i] :
( ( ( b @ fp31 @ fp31 @ fp31 @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp31 )
!= n0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1545,466]) ).
thf(3678,plain,
! [A: $i] :
( ( ( b @ fp31 @ fp31 @ fp31 @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp31 )
!= n0 ) ),
inference(simp,[status(thm)],[3677]) ).
thf(3679,plain,
( ( b @ fp31 @ fp31 @ fp31 @ fp32 @ fp31 )
!= n0 ),
inference(pattern_uni,[status(thm)],[3678:[bind(A,$thf( b @ fp31 @ fp31 @ fp31 @ fp32 ))]]) ).
thf(957,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp32 @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ fp32 @ ( n0 @ less_than ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[414,29]) ).
thf(958,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp32 @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ fp32 @ ( n0 @ less_than ) ) ),
inference(simp,[status(thm)],[957]) ).
thf(959,plain,
b @ fp32 @ fp32 @ fp31 @ fp32 @ ( n0 @ less_than ),
inference(pattern_uni,[status(thm)],[958:[bind(A,$thf( b @ fp32 @ fp32 @ fp31 ))]]) ).
thf(2247,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp32 @ fp31 @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp32 )
!= n0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[959,86]) ).
thf(2248,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp32 @ fp31 @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp32 )
!= n0 ) ),
inference(simp,[status(thm)],[2247]) ).
thf(2249,plain,
( ( b @ fp32 @ fp32 @ fp31 @ fp32 @ fp32 )
!= n0 ),
inference(pattern_uni,[status(thm)],[2248:[bind(A,$thf( b @ fp32 @ fp32 @ fp31 @ fp32 ))]]) ).
thf(4250,plain,
! [A: $i] :
( ( ( b @ fp32 @ half @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp31 )
!= n0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[3925,466]) ).
thf(4251,plain,
! [A: $i] :
( ( ( b @ fp32 @ half @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp31 )
!= n0 ) ),
inference(simp,[status(thm)],[4250]) ).
thf(4252,plain,
( ( b @ fp32 @ half @ fp31 )
!= n0 ),
inference(pattern_uni,[status(thm)],[4251:[bind(A,$thf( b @ fp32 @ half ))]]) ).
thf(6509,plain,
! [A: $i] :
( ( ( b @ half @ half @ half @ ( n0 @ less_than ) )
!= ( A @ ( A @ less_than ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4870,34]) ).
thf(6510,plain,
! [A: $i] :
( ( b @ half @ half @ half @ ( n0 @ less_than ) )
!= ( A @ ( A @ less_than ) ) ),
inference(simp,[status(thm)],[6509]) ).
thf(6554,plain,
! [A: $i] :
( ( ( b @ half @ half @ half )
!= A )
| ( n0 != A ) ),
inference(simp,[status(thm)],[6510]) ).
thf(6565,plain,
( ( b @ half @ half @ half )
!= n0 ),
inference(simp,[status(thm)],[6554]) ).
thf(38,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ minimum ) @ ( n0 @ less_than ) )
| ~ ( B @ ( n0 @ less_than ) )
| ~ ( A @ ( n0 @ less_than ) ) ),
inference(cnf,[status(esa)],[37]) ).
thf(2,negated_conjecture,
! [B: $i,A: $i] :
( ( A @ ( l1 @ minus @ ( B @ f @ add ) @ absolute @ less_than ) )
| ~ ( A @ fp31 @ ( a @ minus @ ( B @ add ) @ absolute @ less_than ) )
| ~ ( A @ ( n0 @ less_than ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_11) ).
thf(21,plain,
! [B: $i,A: $i] :
( ( A @ ( l1 @ minus @ ( B @ f @ add ) @ absolute @ less_than ) )
| ~ ( A @ fp31 @ ( a @ minus @ ( B @ add ) @ absolute @ less_than ) )
| ~ ( A @ ( n0 @ less_than ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(116,plain,
! [B: $i,A: $i] :
( ( ( A @ fp32 @ ( a @ minus @ ( B @ add ) @ absolute @ less_than ) )
!= ( b @ ( n0 @ less_than ) ) )
| ( A @ ( l2 @ minus @ ( B @ g @ add ) @ absolute @ less_than ) )
| ~ $true
| ~ ( A @ ( n0 @ less_than ) ) ),
inference(paramod_ordered,[status(thm)],[18,25]) ).
thf(117,plain,
! [B: $i,A: $i] :
( ( ( A @ fp32 @ ( a @ minus @ ( B @ add ) @ absolute @ less_than ) )
!= ( b @ ( n0 @ less_than ) ) )
| ( A @ ( l2 @ minus @ ( B @ g @ add ) @ absolute @ less_than ) )
| ~ ( A @ ( n0 @ less_than ) ) ),
inference(simp,[status(thm)],[116]) ).
thf(137,plain,
! [B: $i,A: $i] :
( ( ( A @ fp32 )
!= b )
| ( ( a @ minus @ ( B @ add ) @ absolute )
!= n0 )
| ~ ( A @ ( n0 @ less_than ) )
| ( A @ ( l2 @ minus @ ( B @ g @ add ) @ absolute @ less_than ) ) ),
inference(simp,[status(thm)],[117]) ).
thf(3680,plain,
! [A: $i] :
( ( ( b @ fp31 @ fp31 @ fp31 @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp32 )
!= n0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1545,86]) ).
thf(3681,plain,
! [A: $i] :
( ( ( b @ fp31 @ fp31 @ fp31 @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp32 )
!= n0 ) ),
inference(simp,[status(thm)],[3680]) ).
thf(3682,plain,
( ( b @ fp31 @ fp31 @ fp31 @ fp32 @ fp32 )
!= n0 ),
inference(pattern_uni,[status(thm)],[3681:[bind(A,$thf( b @ fp31 @ fp31 @ fp31 @ fp32 ))]]) ).
thf(26,plain,
! [A: $i] :
( ( A @ ( a @ minus @ ( A @ fp33 @ add ) @ absolute @ less_than ) )
| ~ ( A @ ( n0 @ less_than ) ) ),
inference(cnf,[status(esa)],[20]) ).
thf(265,plain,
! [A: $i] :
( ( ( b @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ ( a @ minus @ ( A @ fp33 @ add ) @ absolute @ less_than ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[18,26]) ).
thf(266,plain,
! [A: $i] :
( ( ( b @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ ( a @ minus @ ( A @ fp33 @ add ) @ absolute @ less_than ) ) ),
inference(simp,[status(thm)],[265]) ).
thf(267,plain,
b @ ( a @ minus @ ( b @ fp33 @ add ) @ absolute @ less_than ),
inference(pattern_uni,[status(thm)],[266:[bind(A,$thf( b ))]]) ).
thf(346,plain,
! [A: $i] :
( ( ( b @ ( a @ minus @ ( b @ fp33 @ add ) @ absolute @ less_than ) )
!= ( A @ ( A @ less_than ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[267,34]) ).
thf(347,plain,
! [A: $i] :
( ( b @ ( a @ minus @ ( b @ fp33 @ add ) @ absolute @ less_than ) )
!= ( A @ ( A @ less_than ) ) ),
inference(simp,[status(thm)],[346]) ).
thf(352,plain,
! [A: $i] :
( ( b != A )
| ( ( a @ minus @ ( b @ fp33 @ add ) @ absolute )
!= A ) ),
inference(simp,[status(thm)],[347]) ).
thf(361,plain,
( ( a @ minus @ ( b @ fp33 @ add ) @ absolute )
!= b ),
inference(simp,[status(thm)],[352]) ).
thf(448,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp32 @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ fp31 @ ( n0 @ less_than ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[168,30]) ).
thf(449,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp32 @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ fp31 @ ( n0 @ less_than ) ) ),
inference(simp,[status(thm)],[448]) ).
thf(450,plain,
b @ fp32 @ fp32 @ fp32 @ fp31 @ ( n0 @ less_than ),
inference(pattern_uni,[status(thm)],[449:[bind(A,$thf( b @ fp32 @ fp32 @ fp32 ))]]) ).
thf(1886,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp32 @ fp32 @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp31 )
!= n0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[450,466]) ).
thf(1887,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp32 @ fp32 @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp31 )
!= n0 ) ),
inference(simp,[status(thm)],[1886]) ).
thf(1888,plain,
( ( b @ fp32 @ fp32 @ fp32 @ fp31 @ fp31 )
!= n0 ),
inference(pattern_uni,[status(thm)],[1887:[bind(A,$thf( b @ fp32 @ fp32 @ fp32 @ fp31 ))]]) ).
thf(1077,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp31 @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp32 )
!= n0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[660,86]) ).
thf(1078,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp31 @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp32 )
!= n0 ) ),
inference(simp,[status(thm)],[1077]) ).
thf(1079,plain,
( ( b @ fp32 @ fp31 @ fp32 @ fp32 )
!= n0 ),
inference(pattern_uni,[status(thm)],[1078:[bind(A,$thf( b @ fp32 @ fp31 @ fp32 ))]]) ).
thf(4025,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp32 @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ half @ ( n0 @ less_than ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[414,48]) ).
thf(4026,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp32 @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ half @ ( n0 @ less_than ) ) ),
inference(simp,[status(thm)],[4025]) ).
thf(4027,plain,
b @ fp32 @ fp32 @ fp31 @ half @ ( n0 @ less_than ),
inference(pattern_uni,[status(thm)],[4026:[bind(A,$thf( b @ fp32 @ fp32 @ fp31 ))]]) ).
thf(6707,plain,
! [A: $i] :
( ( ( b @ half @ fp31 @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp31 )
!= n0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4922,466]) ).
thf(6708,plain,
! [A: $i] :
( ( ( b @ half @ fp31 @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp31 )
!= n0 ) ),
inference(simp,[status(thm)],[6707]) ).
thf(6709,plain,
( ( b @ half @ fp31 @ fp32 @ fp31 )
!= n0 ),
inference(pattern_uni,[status(thm)],[6708:[bind(A,$thf( b @ half @ fp31 @ fp32 ))]]) ).
thf(4055,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ half @ ( n0 @ less_than ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[432,48]) ).
thf(4056,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ half @ ( n0 @ less_than ) ) ),
inference(simp,[status(thm)],[4055]) ).
thf(4057,plain,
b @ fp32 @ fp31 @ half @ ( n0 @ less_than ),
inference(pattern_uni,[status(thm)],[4056:[bind(A,$thf( b @ fp32 @ fp31 ))]]) ).
thf(5479,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp31 @ half @ ( n0 @ less_than ) )
!= ( A @ ( A @ less_than ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4057,34]) ).
thf(5480,plain,
! [A: $i] :
( ( b @ fp32 @ fp31 @ half @ ( n0 @ less_than ) )
!= ( A @ ( A @ less_than ) ) ),
inference(simp,[status(thm)],[5479]) ).
thf(5524,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp31 @ half )
!= A )
| ( n0 != A ) ),
inference(simp,[status(thm)],[5480]) ).
thf(5534,plain,
( ( b @ fp32 @ fp31 @ half )
!= n0 ),
inference(simp,[status(thm)],[5524]) ).
thf(3598,plain,
! [A: $i] :
( ( ( b @ fp31 @ fp31 @ fp32 @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp32 )
!= n0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1527,86]) ).
thf(3599,plain,
! [A: $i] :
( ( ( b @ fp31 @ fp31 @ fp32 @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp32 )
!= n0 ) ),
inference(simp,[status(thm)],[3598]) ).
thf(3600,plain,
( ( b @ fp31 @ fp31 @ fp32 @ fp31 @ fp32 )
!= n0 ),
inference(pattern_uni,[status(thm)],[3599:[bind(A,$thf( b @ fp31 @ fp31 @ fp32 @ fp31 ))]]) ).
thf(1455,plain,
! [A: $i] :
( ( ( b @ fp31 @ fp32 @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp32 )
!= n0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[714,86]) ).
thf(1456,plain,
! [A: $i] :
( ( ( b @ fp31 @ fp32 @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp32 )
!= n0 ) ),
inference(simp,[status(thm)],[1455]) ).
thf(1457,plain,
( ( b @ fp31 @ fp32 @ fp31 @ fp32 )
!= n0 ),
inference(pattern_uni,[status(thm)],[1456:[bind(A,$thf( b @ fp31 @ fp32 @ fp31 ))]]) ).
thf(6993,plain,
! [A: $i] :
( ( ( b @ fp31 @ fp32 @ fp31 @ half @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp32 )
!= n0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[3887,86]) ).
thf(6994,plain,
! [A: $i] :
( ( ( b @ fp31 @ fp32 @ fp31 @ half @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp32 )
!= n0 ) ),
inference(simp,[status(thm)],[6993]) ).
thf(6995,plain,
( ( b @ fp31 @ fp32 @ fp31 @ half @ fp32 )
!= n0 ),
inference(pattern_uni,[status(thm)],[6994:[bind(A,$thf( b @ fp31 @ fp32 @ fp31 @ half ))]]) ).
thf(3117,plain,
! [A: $i] :
( ( ( b @ fp31 @ fp32 @ fp32 @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp31 )
!= n0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1415,466]) ).
thf(3118,plain,
! [A: $i] :
( ( ( b @ fp31 @ fp32 @ fp32 @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp31 )
!= n0 ) ),
inference(simp,[status(thm)],[3117]) ).
thf(3119,plain,
( ( b @ fp31 @ fp32 @ fp32 @ fp31 @ fp31 )
!= n0 ),
inference(pattern_uni,[status(thm)],[3118:[bind(A,$thf( b @ fp31 @ fp32 @ fp32 @ fp31 ))]]) ).
thf(3941,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp31 @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ half @ ( n0 @ less_than ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[660,48]) ).
thf(3942,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp31 @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ half @ ( n0 @ less_than ) ) ),
inference(simp,[status(thm)],[3941]) ).
thf(3943,plain,
b @ fp32 @ fp31 @ fp32 @ half @ ( n0 @ less_than ),
inference(pattern_uni,[status(thm)],[3942:[bind(A,$thf( b @ fp32 @ fp31 @ fp32 ))]]) ).
thf(7409,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp31 @ fp32 @ half @ ( n0 @ less_than ) )
!= ( A @ ( A @ less_than ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[3943,34]) ).
thf(7410,plain,
! [A: $i] :
( ( b @ fp32 @ fp31 @ fp32 @ half @ ( n0 @ less_than ) )
!= ( A @ ( A @ less_than ) ) ),
inference(simp,[status(thm)],[7409]) ).
thf(7457,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp31 @ fp32 @ half )
!= A )
| ( n0 != A ) ),
inference(simp,[status(thm)],[7410]) ).
thf(7468,plain,
( ( b @ fp32 @ fp31 @ fp32 @ half )
!= n0 ),
inference(simp,[status(thm)],[7457]) ).
thf(5495,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp31 @ half @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp32 )
!= n0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4057,86]) ).
thf(5496,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp31 @ half @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp32 )
!= n0 ) ),
inference(simp,[status(thm)],[5495]) ).
thf(5497,plain,
( ( b @ fp32 @ fp31 @ half @ fp32 )
!= n0 ),
inference(pattern_uni,[status(thm)],[5496:[bind(A,$thf( b @ fp32 @ fp31 @ half ))]]) ).
thf(3120,plain,
! [A: $i] :
( ( ( b @ fp31 @ fp32 @ fp32 @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp32 )
!= n0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1415,86]) ).
thf(3121,plain,
! [A: $i] :
( ( ( b @ fp31 @ fp32 @ fp32 @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp32 )
!= n0 ) ),
inference(simp,[status(thm)],[3120]) ).
thf(3122,plain,
( ( b @ fp31 @ fp32 @ fp32 @ fp31 @ fp32 )
!= n0 ),
inference(pattern_uni,[status(thm)],[3121:[bind(A,$thf( b @ fp31 @ fp32 @ fp32 @ fp31 ))]]) ).
thf(315,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp32 @ fp32 @ fp32 @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp32 )
!= n0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[237,86]) ).
thf(316,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp32 @ fp32 @ fp32 @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp32 )
!= n0 ) ),
inference(simp,[status(thm)],[315]) ).
thf(317,plain,
( ( b @ fp32 @ fp32 @ fp32 @ fp32 @ fp32 @ fp32 )
!= n0 ),
inference(pattern_uni,[status(thm)],[316:[bind(A,$thf( b @ fp32 @ fp32 @ fp32 @ fp32 @ fp32 ))]]) ).
thf(1026,plain,
! [A: $i] :
( ( ( b @ fp31 @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp31 )
!= n0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[497,466]) ).
thf(1027,plain,
! [A: $i] :
( ( ( b @ fp31 @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp31 )
!= n0 ) ),
inference(simp,[status(thm)],[1026]) ).
thf(1028,plain,
( ( b @ fp31 @ fp31 @ fp31 )
!= n0 ),
inference(pattern_uni,[status(thm)],[1027:[bind(A,$thf( b @ fp31 @ fp31 ))]]) ).
thf(6426,plain,
! [A: $i] :
( ( ( b @ half @ half @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp31 )
!= n0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4832,466]) ).
thf(6427,plain,
! [A: $i] :
( ( ( b @ half @ half @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp31 )
!= n0 ) ),
inference(simp,[status(thm)],[6426]) ).
thf(6428,plain,
( ( b @ half @ half @ fp32 @ fp31 )
!= n0 ),
inference(pattern_uni,[status(thm)],[6427:[bind(A,$thf( b @ half @ half @ fp32 ))]]) ).
thf(5179,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp32 @ half @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ fp32 @ ( n0 @ less_than ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[3998,29]) ).
thf(5180,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp32 @ half @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ fp32 @ ( n0 @ less_than ) ) ),
inference(simp,[status(thm)],[5179]) ).
thf(5181,plain,
b @ fp32 @ fp32 @ half @ fp32 @ ( n0 @ less_than ),
inference(pattern_uni,[status(thm)],[5180:[bind(A,$thf( b @ fp32 @ fp32 @ half ))]]) ).
thf(5586,plain,
! [A: $i] :
( ( ( b @ fp32 @ half @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp32 )
!= n0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4225,86]) ).
thf(5587,plain,
! [A: $i] :
( ( ( b @ fp32 @ half @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp32 )
!= n0 ) ),
inference(simp,[status(thm)],[5586]) ).
thf(5588,plain,
( ( b @ fp32 @ half @ fp32 @ fp32 )
!= n0 ),
inference(pattern_uni,[status(thm)],[5587:[bind(A,$thf( b @ fp32 @ half @ fp32 ))]]) ).
thf(5211,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp32 @ half @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp31 )
!= n0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[3998,466]) ).
thf(5212,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp32 @ half @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp31 )
!= n0 ) ),
inference(simp,[status(thm)],[5211]) ).
thf(5213,plain,
( ( b @ fp32 @ fp32 @ half @ fp31 )
!= n0 ),
inference(pattern_uni,[status(thm)],[5212:[bind(A,$thf( b @ fp32 @ fp32 @ half ))]]) ).
thf(4865,plain,
! [A: $i] :
( ( ( b @ half @ half @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp32 )
!= n0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4174,86]) ).
thf(4866,plain,
! [A: $i] :
( ( ( b @ half @ half @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp32 )
!= n0 ) ),
inference(simp,[status(thm)],[4865]) ).
thf(4867,plain,
( ( b @ half @ half @ fp32 )
!= n0 ),
inference(pattern_uni,[status(thm)],[4866:[bind(A,$thf( b @ half @ half ))]]) ).
thf(1037,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp32 @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp31 )
!= n0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[168,466]) ).
thf(1038,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp32 @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp31 )
!= n0 ) ),
inference(simp,[status(thm)],[1037]) ).
thf(1039,plain,
( ( b @ fp32 @ fp32 @ fp32 @ fp31 )
!= n0 ),
inference(pattern_uni,[status(thm)],[1038:[bind(A,$thf( b @ fp32 @ fp32 @ fp32 ))]]) ).
thf(995,plain,
! [A: $i] :
( ( ( b @ fp31 @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp31 )
!= n0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[487,466]) ).
thf(996,plain,
! [A: $i] :
( ( ( b @ fp31 @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp31 )
!= n0 ) ),
inference(simp,[status(thm)],[995]) ).
thf(997,plain,
( ( b @ fp31 @ fp32 @ fp31 )
!= n0 ),
inference(pattern_uni,[status(thm)],[996:[bind(A,$thf( b @ fp31 @ fp32 ))]]) ).
thf(6803,plain,
! [A: $i] :
( ( ( b @ half @ fp31 @ half @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp31 )
!= n0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4958,466]) ).
thf(6804,plain,
! [A: $i] :
( ( ( b @ half @ fp31 @ half @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp31 )
!= n0 ) ),
inference(simp,[status(thm)],[6803]) ).
thf(6805,plain,
( ( b @ half @ fp31 @ half @ fp31 )
!= n0 ),
inference(pattern_uni,[status(thm)],[6804:[bind(A,$thf( b @ half @ fp31 @ half ))]]) ).
thf(4340,plain,
! [A: $i] :
( ( ( b @ fp31 @ half @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ half @ ( n0 @ less_than ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4001,48]) ).
thf(4341,plain,
! [A: $i] :
( ( ( b @ fp31 @ half @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ half @ ( n0 @ less_than ) ) ),
inference(simp,[status(thm)],[4340]) ).
thf(4342,plain,
b @ fp31 @ half @ half @ ( n0 @ less_than ),
inference(pattern_uni,[status(thm)],[4341:[bind(A,$thf( b @ fp31 @ half ))]]) ).
thf(5947,plain,
! [A: $i] :
( ( ( b @ fp31 @ half @ half @ ( n0 @ less_than ) )
!= ( A @ ( A @ less_than ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4342,34]) ).
thf(5948,plain,
! [A: $i] :
( ( b @ fp31 @ half @ half @ ( n0 @ less_than ) )
!= ( A @ ( A @ less_than ) ) ),
inference(simp,[status(thm)],[5947]) ).
thf(5994,plain,
! [A: $i] :
( ( ( b @ fp31 @ half @ half )
!= A )
| ( n0 != A ) ),
inference(simp,[status(thm)],[5948]) ).
thf(6005,plain,
( ( b @ fp31 @ half @ half )
!= n0 ),
inference(simp,[status(thm)],[5994]) ).
thf(5367,plain,
! [A: $i] :
( ( ( b @ fp31 @ fp31 @ half @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ fp32 @ ( n0 @ less_than ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4030,29]) ).
thf(5368,plain,
! [A: $i] :
( ( ( b @ fp31 @ fp31 @ half @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ fp32 @ ( n0 @ less_than ) ) ),
inference(simp,[status(thm)],[5367]) ).
thf(5369,plain,
b @ fp31 @ fp31 @ half @ fp32 @ ( n0 @ less_than ),
inference(pattern_uni,[status(thm)],[5368:[bind(A,$thf( b @ fp31 @ fp31 @ half ))]]) ).
thf(488,plain,
! [A: $i] :
( ( ( b @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( A @ less_than ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[419,34]) ).
thf(489,plain,
! [A: $i] :
( ( b @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( A @ less_than ) ) ),
inference(simp,[status(thm)],[488]) ).
thf(501,plain,
! [A: $i] :
( ( ( b @ fp31 )
!= A )
| ( n0 != A ) ),
inference(simp,[status(thm)],[489]) ).
thf(503,plain,
( ( b @ fp31 )
!= n0 ),
inference(simp,[status(thm)],[501]) ).
thf(4067,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp32 @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ half @ ( n0 @ less_than ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[168,48]) ).
thf(4068,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp32 @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ half @ ( n0 @ less_than ) ) ),
inference(simp,[status(thm)],[4067]) ).
thf(4069,plain,
b @ fp32 @ fp32 @ fp32 @ half @ ( n0 @ less_than ),
inference(pattern_uni,[status(thm)],[4068:[bind(A,$thf( b @ fp32 @ fp32 @ fp32 ))]]) ).
thf(2961,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp31 @ fp31 @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp31 )
!= n0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1359,466]) ).
thf(2962,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp31 @ fp31 @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp31 )
!= n0 ) ),
inference(simp,[status(thm)],[2961]) ).
thf(2963,plain,
( ( b @ fp32 @ fp31 @ fp31 @ fp31 @ fp31 )
!= n0 ),
inference(pattern_uni,[status(thm)],[2962:[bind(A,$thf( b @ fp32 @ fp31 @ fp31 @ fp31 ))]]) ).
thf(6522,plain,
! [A: $i] :
( ( ( b @ half @ half @ half @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp31 )
!= n0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4870,466]) ).
thf(6523,plain,
! [A: $i] :
( ( ( b @ half @ half @ half @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp31 )
!= n0 ) ),
inference(simp,[status(thm)],[6522]) ).
thf(6524,plain,
( ( b @ half @ half @ half @ fp31 )
!= n0 ),
inference(pattern_uni,[status(thm)],[6523:[bind(A,$thf( b @ half @ half @ half ))]]) ).
thf(1508,plain,
! [A: $i] :
( ( ( b @ fp31 @ fp31 @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp31 )
!= n0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[738,466]) ).
thf(1509,plain,
! [A: $i] :
( ( ( b @ fp31 @ fp31 @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp31 )
!= n0 ) ),
inference(simp,[status(thm)],[1508]) ).
thf(1510,plain,
( ( b @ fp31 @ fp31 @ fp32 @ fp31 )
!= n0 ),
inference(pattern_uni,[status(thm)],[1509:[bind(A,$thf( b @ fp31 @ fp31 @ fp32 ))]]) ).
thf(4888,plain,
! [A: $i] :
( ( ( b @ half @ half @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ fp31 @ ( n0 @ less_than ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4174,30]) ).
thf(4889,plain,
! [A: $i] :
( ( ( b @ half @ half @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ fp31 @ ( n0 @ less_than ) ) ),
inference(simp,[status(thm)],[4888]) ).
thf(4890,plain,
b @ half @ half @ fp31 @ ( n0 @ less_than ),
inference(pattern_uni,[status(thm)],[4889:[bind(A,$thf( b @ half @ half ))]]) ).
thf(6613,plain,
! [A: $i] :
( ( ( b @ half @ half @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp31 )
!= n0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4890,466]) ).
thf(6614,plain,
! [A: $i] :
( ( ( b @ half @ half @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp31 )
!= n0 ) ),
inference(simp,[status(thm)],[6613]) ).
thf(6615,plain,
( ( b @ half @ half @ fp31 @ fp31 )
!= n0 ),
inference(pattern_uni,[status(thm)],[6614:[bind(A,$thf( b @ half @ half @ fp31 ))]]) ).
thf(6241,plain,
! [A: $i] :
( ( ( b @ half @ fp32 @ half @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp31 )
!= n0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4777,466]) ).
thf(6242,plain,
! [A: $i] :
( ( ( b @ half @ fp32 @ half @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp31 )
!= n0 ) ),
inference(simp,[status(thm)],[6241]) ).
thf(6243,plain,
( ( b @ half @ fp32 @ half @ fp31 )
!= n0 ),
inference(pattern_uni,[status(thm)],[6242:[bind(A,$thf( b @ half @ fp32 @ half ))]]) ).
thf(4795,plain,
! [A: $i] :
( ( ( b @ half @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ fp31 @ ( n0 @ less_than ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4141,30]) ).
thf(4796,plain,
! [A: $i] :
( ( ( b @ half @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ fp31 @ ( n0 @ less_than ) ) ),
inference(simp,[status(thm)],[4795]) ).
thf(4797,plain,
b @ half @ fp32 @ fp31 @ ( n0 @ less_than ),
inference(pattern_uni,[status(thm)],[4796:[bind(A,$thf( b @ half @ fp32 ))]]) ).
thf(4360,plain,
! [A: $i] :
( ( ( b @ fp31 @ half @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ fp31 @ ( n0 @ less_than ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4001,30]) ).
thf(4361,plain,
! [A: $i] :
( ( ( b @ fp31 @ half @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ fp31 @ ( n0 @ less_than ) ) ),
inference(simp,[status(thm)],[4360]) ).
thf(4362,plain,
b @ fp31 @ half @ fp31 @ ( n0 @ less_than ),
inference(pattern_uni,[status(thm)],[4361:[bind(A,$thf( b @ fp31 @ half ))]]) ).
thf(6051,plain,
! [A: $i] :
( ( ( b @ fp31 @ half @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp31 )
!= n0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4362,466]) ).
thf(6052,plain,
! [A: $i] :
( ( ( b @ fp31 @ half @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp31 )
!= n0 ) ),
inference(simp,[status(thm)],[6051]) ).
thf(6053,plain,
( ( b @ fp31 @ half @ fp31 @ fp31 )
!= n0 ),
inference(pattern_uni,[status(thm)],[6052:[bind(A,$thf( b @ fp31 @ half @ fp31 ))]]) ).
thf(5666,plain,
! [A: $i] :
( ( ( b @ fp32 @ half @ half @ ( n0 @ less_than ) )
!= ( A @ ( A @ less_than ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4258,34]) ).
thf(5667,plain,
! [A: $i] :
( ( b @ fp32 @ half @ half @ ( n0 @ less_than ) )
!= ( A @ ( A @ less_than ) ) ),
inference(simp,[status(thm)],[5666]) ).
thf(5716,plain,
! [A: $i] :
( ( ( b @ fp32 @ half @ half )
!= A )
| ( n0 != A ) ),
inference(simp,[status(thm)],[5667]) ).
thf(5722,plain,
( ( b @ fp32 @ half @ half )
!= n0 ),
inference(simp,[status(thm)],[5716]) ).
thf(7980,plain,
! [A: $i] :
( ( ( b @ fp31 @ fp31 @ fp31 @ half @ ( n0 @ less_than ) )
!= ( A @ ( A @ less_than ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[3966,34]) ).
thf(7981,plain,
! [A: $i] :
( ( b @ fp31 @ fp31 @ fp31 @ half @ ( n0 @ less_than ) )
!= ( A @ ( A @ less_than ) ) ),
inference(simp,[status(thm)],[7980]) ).
thf(8031,plain,
! [A: $i] :
( ( ( b @ fp31 @ fp31 @ fp31 @ half )
!= A )
| ( n0 != A ) ),
inference(simp,[status(thm)],[7981]) ).
thf(8040,plain,
( ( b @ fp31 @ fp31 @ fp31 @ half )
!= n0 ),
inference(simp,[status(thm)],[8031]) ).
thf(9,axiom,
! [A: $i] : ( A @ ( A @ ( n0 @ add ) @ equalish ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
thf(32,plain,
! [A: $i] : ( A @ ( A @ ( n0 @ add ) @ equalish ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(15,axiom,
! [C: $i,B: $i,A: $i] :
( ( B @ ( C @ ( A @ add ) @ less_than ) )
| ~ ( B @ half @ ( C @ less_than ) )
| ~ ( B @ half @ ( A @ less_than ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
thf(43,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( C @ ( A @ add ) @ less_than ) )
| ~ ( B @ half @ ( C @ less_than ) )
| ~ ( B @ half @ ( A @ less_than ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(44,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( C @ ( A @ add ) @ less_than ) )
| ~ ( B @ half @ ( C @ less_than ) )
| ~ ( B @ half @ ( A @ less_than ) ) ),
inference(cnf,[status(esa)],[43]) ).
thf(5960,plain,
! [A: $i] :
( ( ( b @ fp31 @ half @ half @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp31 )
!= n0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4342,466]) ).
thf(5961,plain,
! [A: $i] :
( ( ( b @ fp31 @ half @ half @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp31 )
!= n0 ) ),
inference(simp,[status(thm)],[5960]) ).
thf(5962,plain,
( ( b @ fp31 @ half @ half @ fp31 )
!= n0 ),
inference(pattern_uni,[status(thm)],[5961:[bind(A,$thf( b @ fp31 @ half @ half ))]]) ).
thf(5237,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp32 @ half @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ fp31 @ ( n0 @ less_than ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[3998,30]) ).
thf(5238,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp32 @ half @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ fp31 @ ( n0 @ less_than ) ) ),
inference(simp,[status(thm)],[5237]) ).
thf(5239,plain,
b @ fp32 @ fp32 @ half @ fp31 @ ( n0 @ less_than ),
inference(pattern_uni,[status(thm)],[5238:[bind(A,$thf( b @ fp32 @ fp32 @ half ))]]) ).
thf(27,plain,
! [B: $i,A: $i] :
( ( A @ ( l1 @ minus @ ( B @ f @ add ) @ absolute @ less_than ) )
| ~ ( A @ fp31 @ ( a @ minus @ ( B @ add ) @ absolute @ less_than ) )
| ~ ( A @ ( n0 @ less_than ) ) ),
inference(cnf,[status(esa)],[21]) ).
thf(5963,plain,
! [A: $i] :
( ( ( b @ fp31 @ half @ half @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp32 )
!= n0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4342,86]) ).
thf(5964,plain,
! [A: $i] :
( ( ( b @ fp31 @ half @ half @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp32 )
!= n0 ) ),
inference(simp,[status(thm)],[5963]) ).
thf(5965,plain,
( ( b @ fp31 @ half @ half @ fp32 )
!= n0 ),
inference(pattern_uni,[status(thm)],[5964:[bind(A,$thf( b @ fp31 @ half @ half ))]]) ).
thf(4976,plain,
! [A: $i] :
( ( ( b @ half @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ fp31 @ ( n0 @ less_than ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4194,30]) ).
thf(4977,plain,
! [A: $i] :
( ( ( b @ half @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ fp31 @ ( n0 @ less_than ) ) ),
inference(simp,[status(thm)],[4976]) ).
thf(4978,plain,
b @ half @ fp31 @ fp31 @ ( n0 @ less_than ),
inference(pattern_uni,[status(thm)],[4977:[bind(A,$thf( b @ half @ fp31 ))]]) ).
thf(127,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ fp32 @ ( n0 @ less_than ) )
!= ( B @ ( n0 @ less_than ) ) )
| ( B @ ( l2 @ minus @ ( C @ g @ add ) @ absolute @ less_than ) )
| ~ ( B @ fp32 @ ( a @ minus @ ( C @ add ) @ absolute @ less_than ) )
| ~ $true
| ~ ( A @ ( n0 @ less_than ) ) ),
inference(paramod_ordered,[status(thm)],[29,25]) ).
thf(128,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ fp32 @ ( n0 @ less_than ) )
!= ( B @ ( n0 @ less_than ) ) )
| ( B @ ( l2 @ minus @ ( C @ g @ add ) @ absolute @ less_than ) )
| ~ ( B @ fp32 @ ( a @ minus @ ( C @ add ) @ absolute @ less_than ) )
| ~ ( A @ ( n0 @ less_than ) ) ),
inference(simp,[status(thm)],[127]) ).
thf(129,plain,
! [B: $i,A: $i] :
( ( B @ fp32 @ ( l2 @ minus @ ( A @ g @ add ) @ absolute @ less_than ) )
| ~ ( B @ fp32 @ fp32 @ ( a @ minus @ ( A @ add ) @ absolute @ less_than ) )
| ~ ( B @ ( n0 @ less_than ) ) ),
inference(pattern_uni,[status(thm)],[128:[bind(A,$thf( D )),bind(B,$thf( D @ fp32 ))]]) ).
thf(144,plain,
! [B: $i,A: $i] :
( ( B @ fp32 @ ( l2 @ minus @ ( A @ g @ add ) @ absolute @ less_than ) )
| ~ ( B @ fp32 @ fp32 @ ( a @ minus @ ( A @ add ) @ absolute @ less_than ) )
| ~ ( B @ ( n0 @ less_than ) ) ),
inference(simp,[status(thm)],[129]) ).
thf(4169,plain,
! [A: $i] :
( ( ( b @ half @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp32 )
!= n0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4024,86]) ).
thf(4170,plain,
! [A: $i] :
( ( ( b @ half @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp32 )
!= n0 ) ),
inference(simp,[status(thm)],[4169]) ).
thf(4171,plain,
( ( b @ half @ fp32 )
!= n0 ),
inference(pattern_uni,[status(thm)],[4170:[bind(A,$thf( b @ half ))]]) ).
thf(6332,plain,
! [A: $i] :
( ( ( b @ half @ fp32 @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp31 )
!= n0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4797,466]) ).
thf(6333,plain,
! [A: $i] :
( ( ( b @ half @ fp32 @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp31 )
!= n0 ) ),
inference(simp,[status(thm)],[6332]) ).
thf(6334,plain,
( ( b @ half @ fp32 @ fp31 @ fp31 )
!= n0 ),
inference(pattern_uni,[status(thm)],[6333:[bind(A,$thf( b @ half @ fp32 @ fp31 ))]]) ).
thf(2317,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp32 @ fp31 @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp32 )
!= n0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[980,86]) ).
thf(2318,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp32 @ fp31 @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp32 )
!= n0 ) ),
inference(simp,[status(thm)],[2317]) ).
thf(2319,plain,
( ( b @ fp32 @ fp32 @ fp31 @ fp31 @ fp32 )
!= n0 ),
inference(pattern_uni,[status(thm)],[2318:[bind(A,$thf( b @ fp32 @ fp32 @ fp31 @ fp31 ))]]) ).
thf(6228,plain,
! [A: $i] :
( ( ( b @ half @ fp32 @ half @ ( n0 @ less_than ) )
!= ( A @ ( A @ less_than ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4777,34]) ).
thf(6229,plain,
! [A: $i] :
( ( b @ half @ fp32 @ half @ ( n0 @ less_than ) )
!= ( A @ ( A @ less_than ) ) ),
inference(simp,[status(thm)],[6228]) ).
thf(6276,plain,
! [A: $i] :
( ( ( b @ half @ fp32 @ half )
!= A )
| ( n0 != A ) ),
inference(simp,[status(thm)],[6229]) ).
thf(6281,plain,
( ( b @ half @ fp32 @ half )
!= n0 ),
inference(simp,[status(thm)],[6276]) ).
thf(661,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( A @ less_than ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[432,34]) ).
thf(662,plain,
! [A: $i] :
( ( b @ fp32 @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( A @ less_than ) ) ),
inference(simp,[status(thm)],[661]) ).
thf(680,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp31 )
!= A )
| ( n0 != A ) ),
inference(simp,[status(thm)],[662]) ).
thf(681,plain,
( ( b @ fp32 @ fp31 )
!= n0 ),
inference(simp,[status(thm)],[680]) ).
thf(1581,plain,
! [A: $i] :
( ( ( b @ fp31 @ fp31 @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ fp31 @ ( n0 @ less_than ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[753,30]) ).
thf(1582,plain,
! [A: $i] :
( ( ( b @ fp31 @ fp31 @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ fp31 @ ( n0 @ less_than ) ) ),
inference(simp,[status(thm)],[1581]) ).
thf(1583,plain,
b @ fp31 @ fp31 @ fp31 @ fp31 @ ( n0 @ less_than ),
inference(pattern_uni,[status(thm)],[1582:[bind(A,$thf( b @ fp31 @ fp31 @ fp31 ))]]) ).
thf(3762,plain,
! [A: $i] :
( ( ( b @ fp31 @ fp31 @ fp31 @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp32 )
!= n0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1583,86]) ).
thf(3763,plain,
! [A: $i] :
( ( ( b @ fp31 @ fp31 @ fp31 @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp32 )
!= n0 ) ),
inference(simp,[status(thm)],[3762]) ).
thf(3764,plain,
( ( b @ fp31 @ fp31 @ fp31 @ fp31 @ fp32 )
!= n0 ),
inference(pattern_uni,[status(thm)],[3763:[bind(A,$thf( b @ fp31 @ fp31 @ fp31 @ fp31 ))]]) ).
thf(4739,plain,
! [A: $i] :
( ( ( b @ half @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ fp32 @ ( n0 @ less_than ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4141,29]) ).
thf(4740,plain,
! [A: $i] :
( ( ( b @ half @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ fp32 @ ( n0 @ less_than ) ) ),
inference(simp,[status(thm)],[4739]) ).
thf(4741,plain,
b @ half @ fp32 @ fp32 @ ( n0 @ less_than ),
inference(pattern_uni,[status(thm)],[4740:[bind(A,$thf( b @ half @ fp32 ))]]) ).
thf(6145,plain,
! [A: $i] :
( ( ( b @ half @ fp32 @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp31 )
!= n0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4741,466]) ).
thf(6146,plain,
! [A: $i] :
( ( ( b @ half @ fp32 @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp31 )
!= n0 ) ),
inference(simp,[status(thm)],[6145]) ).
thf(6147,plain,
( ( b @ half @ fp32 @ fp32 @ fp31 )
!= n0 ),
inference(pattern_uni,[status(thm)],[6146:[bind(A,$thf( b @ half @ fp32 @ fp32 ))]]) ).
thf(2244,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp32 @ fp31 @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp31 )
!= n0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[959,466]) ).
thf(2245,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp32 @ fp31 @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp31 )
!= n0 ) ),
inference(simp,[status(thm)],[2244]) ).
thf(2246,plain,
( ( b @ fp32 @ fp32 @ fp31 @ fp32 @ fp31 )
!= n0 ),
inference(pattern_uni,[status(thm)],[2245:[bind(A,$thf( b @ fp32 @ fp32 @ fp31 @ fp32 ))]]) ).
thf(1009,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp32 @ fp32 @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp31 )
!= n0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[191,466]) ).
thf(1010,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp32 @ fp32 @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp31 )
!= n0 ) ),
inference(simp,[status(thm)],[1009]) ).
thf(1011,plain,
( ( b @ fp32 @ fp32 @ fp32 @ fp32 @ fp31 )
!= n0 ),
inference(pattern_uni,[status(thm)],[1010:[bind(A,$thf( b @ fp32 @ fp32 @ fp32 @ fp32 ))]]) ).
thf(3195,plain,
! [A: $i] :
( ( ( b @ fp31 @ fp32 @ fp31 @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp31 )
!= n0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1433,466]) ).
thf(3196,plain,
! [A: $i] :
( ( ( b @ fp31 @ fp32 @ fp31 @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp31 )
!= n0 ) ),
inference(simp,[status(thm)],[3195]) ).
thf(3197,plain,
( ( b @ fp31 @ fp32 @ fp31 @ fp32 @ fp31 )
!= n0 ),
inference(pattern_uni,[status(thm)],[3196:[bind(A,$thf( b @ fp31 @ fp32 @ fp31 @ fp32 ))]]) ).
thf(13,axiom,
! [B: $i,A: $i] :
( ( A @ ( B @ ( A @ minimum ) @ less_than ) )
| ~ ( B @ ( n0 @ less_than ) )
| ~ ( A @ ( n0 @ less_than ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2_2) ).
thf(39,plain,
! [B: $i,A: $i] :
( ( A @ ( B @ ( A @ minimum ) @ less_than ) )
| ~ ( B @ ( n0 @ less_than ) )
| ~ ( A @ ( n0 @ less_than ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(6790,plain,
! [A: $i] :
( ( ( b @ half @ fp31 @ half @ ( n0 @ less_than ) )
!= ( A @ ( A @ less_than ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4958,34]) ).
thf(6791,plain,
! [A: $i] :
( ( b @ half @ fp31 @ half @ ( n0 @ less_than ) )
!= ( A @ ( A @ less_than ) ) ),
inference(simp,[status(thm)],[6790]) ).
thf(6836,plain,
! [A: $i] :
( ( ( b @ half @ fp31 @ half )
!= A )
| ( n0 != A ) ),
inference(simp,[status(thm)],[6791]) ).
thf(6849,plain,
( ( b @ half @ fp31 @ half )
!= n0 ),
inference(simp,[status(thm)],[6836]) ).
thf(89,plain,
! [A: $i] :
( ( ( b @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ~ ( b @ ( l2 @ minus @ ( A @ fp33 @ g @ add ) @ absolute @ ( l1 @ minus @ ( A @ fp33 @ f @ add ) @ absolute @ add ) @ less_than ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[78,28]) ).
thf(90,plain,
! [A: $i] :
( ( ( b @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ~ ( b @ ( l2 @ minus @ ( A @ fp33 @ g @ add ) @ absolute @ ( l1 @ minus @ ( A @ fp33 @ f @ add ) @ absolute @ add ) @ less_than ) ) ),
inference(simp,[status(thm)],[89]) ).
thf(91,plain,
~ ( b @ ( l2 @ minus @ ( b @ fp32 @ fp33 @ g @ add ) @ absolute @ ( l1 @ minus @ ( b @ fp32 @ fp33 @ f @ add ) @ absolute @ add ) @ less_than ) ),
inference(pattern_uni,[status(thm)],[90:[bind(A,$thf( b @ fp32 ))]]) ).
thf(5773,plain,
! [A: $i] :
( ( ( b @ fp32 @ half @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp32 )
!= n0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4278,86]) ).
thf(5774,plain,
! [A: $i] :
( ( ( b @ fp32 @ half @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp32 )
!= n0 ) ),
inference(simp,[status(thm)],[5773]) ).
thf(5775,plain,
( ( b @ fp32 @ half @ fp31 @ fp32 )
!= n0 ),
inference(pattern_uni,[status(thm)],[5774:[bind(A,$thf( b @ fp32 @ half @ fp31 ))]]) ).
thf(5214,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp32 @ half @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp32 )
!= n0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[3998,86]) ).
thf(5215,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp32 @ half @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp32 )
!= n0 ) ),
inference(simp,[status(thm)],[5214]) ).
thf(5216,plain,
( ( b @ fp32 @ fp32 @ half @ fp32 )
!= n0 ),
inference(pattern_uni,[status(thm)],[5215:[bind(A,$thf( b @ fp32 @ fp32 @ half ))]]) ).
thf(1064,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp31 @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ fp32 @ ( n0 @ less_than ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[660,29]) ).
thf(1065,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp31 @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ fp32 @ ( n0 @ less_than ) ) ),
inference(simp,[status(thm)],[1064]) ).
thf(1066,plain,
b @ fp32 @ fp31 @ fp32 @ fp32 @ ( n0 @ less_than ),
inference(pattern_uni,[status(thm)],[1065:[bind(A,$thf( b @ fp32 @ fp31 @ fp32 ))]]) ).
thf(11,axiom,
! [C: $i,B: $i,A: $i] :
( ( C @ ( A @ less_than ) )
| ~ ( C @ ( B @ less_than ) )
| ~ ( B @ ( A @ less_than ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_of_less_than) ).
thf(35,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( A @ less_than ) )
| ~ ( C @ ( B @ less_than ) )
| ~ ( B @ ( A @ less_than ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(1074,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp31 @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp31 )
!= n0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[660,466]) ).
thf(1075,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp31 @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp31 )
!= n0 ) ),
inference(simp,[status(thm)],[1074]) ).
thf(1076,plain,
( ( b @ fp32 @ fp31 @ fp32 @ fp31 )
!= n0 ),
inference(pattern_uni,[status(thm)],[1075:[bind(A,$thf( b @ fp32 @ fp31 @ fp32 ))]]) ).
thf(4237,plain,
! [A: $i] :
( ( ( b @ fp32 @ half @ ( n0 @ less_than ) )
!= ( A @ ( A @ less_than ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[3925,34]) ).
thf(4238,plain,
! [A: $i] :
( ( b @ fp32 @ half @ ( n0 @ less_than ) )
!= ( A @ ( A @ less_than ) ) ),
inference(simp,[status(thm)],[4237]) ).
thf(4283,plain,
! [A: $i] :
( ( ( b @ fp32 @ half )
!= A )
| ( n0 != A ) ),
inference(simp,[status(thm)],[4238]) ).
thf(4292,plain,
( ( b @ fp32 @ half )
!= n0 ),
inference(simp,[status(thm)],[4283]) ).
thf(6054,plain,
! [A: $i] :
( ( ( b @ fp31 @ half @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp32 )
!= n0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4362,86]) ).
thf(6055,plain,
! [A: $i] :
( ( ( b @ fp31 @ half @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp32 )
!= n0 ) ),
inference(simp,[status(thm)],[6054]) ).
thf(6056,plain,
( ( b @ fp31 @ half @ fp31 @ fp32 )
!= n0 ),
inference(pattern_uni,[status(thm)],[6055:[bind(A,$thf( b @ fp31 @ half @ fp31 ))]]) ).
thf(3276,plain,
! [A: $i] :
( ( ( b @ fp31 @ fp32 @ fp31 @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp32 )
!= n0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1471,86]) ).
thf(3277,plain,
! [A: $i] :
( ( ( b @ fp31 @ fp32 @ fp31 @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp32 )
!= n0 ) ),
inference(simp,[status(thm)],[3276]) ).
thf(3278,plain,
( ( b @ fp31 @ fp32 @ fp31 @ fp31 @ fp32 )
!= n0 ),
inference(pattern_uni,[status(thm)],[3277:[bind(A,$thf( b @ fp31 @ fp32 @ fp31 @ fp31 ))]]) ).
thf(4334,plain,
! [A: $i] :
( ( ( b @ fp31 @ half @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp31 )
!= n0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4001,466]) ).
thf(4335,plain,
! [A: $i] :
( ( ( b @ fp31 @ half @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp31 )
!= n0 ) ),
inference(simp,[status(thm)],[4334]) ).
thf(4336,plain,
( ( b @ fp31 @ half @ fp31 )
!= n0 ),
inference(pattern_uni,[status(thm)],[4335:[bind(A,$thf( b @ fp31 @ half ))]]) ).
thf(4166,plain,
! [A: $i] :
( ( ( b @ half @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp31 )
!= n0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4024,466]) ).
thf(4167,plain,
! [A: $i] :
( ( ( b @ half @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp31 )
!= n0 ) ),
inference(simp,[status(thm)],[4166]) ).
thf(4168,plain,
( ( b @ half @ fp31 )
!= n0 ),
inference(pattern_uni,[status(thm)],[4167:[bind(A,$thf( b @ half ))]]) ).
thf(4253,plain,
! [A: $i] :
( ( ( b @ fp32 @ half @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp32 )
!= n0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[3925,86]) ).
thf(4254,plain,
! [A: $i] :
( ( ( b @ fp32 @ half @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp32 )
!= n0 ) ),
inference(simp,[status(thm)],[4253]) ).
thf(4255,plain,
( ( b @ fp32 @ half @ fp32 )
!= n0 ),
inference(pattern_uni,[status(thm)],[4254:[bind(A,$thf( b @ fp32 @ half ))]]) ).
thf(1023,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp32 @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp31 )
!= n0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[414,466]) ).
thf(1024,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp32 @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp31 )
!= n0 ) ),
inference(simp,[status(thm)],[1023]) ).
thf(1025,plain,
( ( b @ fp32 @ fp32 @ fp31 @ fp31 )
!= n0 ),
inference(pattern_uni,[status(thm)],[1024:[bind(A,$thf( b @ fp32 @ fp32 @ fp31 ))]]) ).
thf(4862,plain,
! [A: $i] :
( ( ( b @ half @ half @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp31 )
!= n0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4174,466]) ).
thf(4863,plain,
! [A: $i] :
( ( ( b @ half @ half @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp31 )
!= n0 ) ),
inference(simp,[status(thm)],[4862]) ).
thf(4864,plain,
( ( b @ half @ half @ fp31 )
!= n0 ),
inference(pattern_uni,[status(thm)],[4863:[bind(A,$thf( b @ half @ half ))]]) ).
thf(1564,plain,
! [A: $i] :
( ( ( b @ fp31 @ fp31 @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp31 )
!= n0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[753,466]) ).
thf(1565,plain,
! [A: $i] :
( ( ( b @ fp31 @ fp31 @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp31 )
!= n0 ) ),
inference(simp,[status(thm)],[1564]) ).
thf(1566,plain,
( ( b @ fp31 @ fp31 @ fp31 @ fp31 )
!= n0 ),
inference(pattern_uni,[status(thm)],[1565:[bind(A,$thf( b @ fp31 @ fp31 @ fp31 ))]]) ).
thf(2384,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp31 @ fp32 @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp31 )
!= n0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1066,466]) ).
thf(2385,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp31 @ fp32 @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp31 )
!= n0 ) ),
inference(simp,[status(thm)],[2384]) ).
thf(2386,plain,
( ( b @ fp32 @ fp31 @ fp32 @ fp32 @ fp31 )
!= n0 ),
inference(pattern_uni,[status(thm)],[2385:[bind(A,$thf( b @ fp32 @ fp31 @ fp32 @ fp32 ))]]) ).
thf(1319,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp31 @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ fp32 @ ( n0 @ less_than ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[675,29]) ).
thf(1320,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp31 @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ fp32 @ ( n0 @ less_than ) ) ),
inference(simp,[status(thm)],[1319]) ).
thf(1321,plain,
b @ fp32 @ fp31 @ fp31 @ fp32 @ ( n0 @ less_than ),
inference(pattern_uni,[status(thm)],[1320:[bind(A,$thf( b @ fp32 @ fp31 @ fp31 ))]]) ).
thf(2886,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp31 @ fp31 @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp32 )
!= n0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1321,86]) ).
thf(2887,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp31 @ fp31 @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp32 )
!= n0 ) ),
inference(simp,[status(thm)],[2886]) ).
thf(2888,plain,
( ( b @ fp32 @ fp31 @ fp31 @ fp32 @ fp32 )
!= n0 ),
inference(pattern_uni,[status(thm)],[2887:[bind(A,$thf( b @ fp32 @ fp31 @ fp31 @ fp32 ))]]) ).
thf(5682,plain,
! [A: $i] :
( ( ( b @ fp32 @ half @ half @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp32 )
!= n0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4258,86]) ).
thf(5683,plain,
! [A: $i] :
( ( ( b @ fp32 @ half @ half @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp32 )
!= n0 ) ),
inference(simp,[status(thm)],[5682]) ).
thf(5684,plain,
( ( b @ fp32 @ half @ half @ fp32 )
!= n0 ),
inference(pattern_uni,[status(thm)],[5683:[bind(A,$thf( b @ fp32 @ half @ half ))]]) ).
thf(192,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp32 @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( A @ less_than ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[168,34]) ).
thf(193,plain,
! [A: $i] :
( ( b @ fp32 @ fp32 @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( A @ less_than ) ) ),
inference(simp,[status(thm)],[192]) ).
thf(195,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp32 @ fp32 )
!= A )
| ( n0 != A ) ),
inference(simp,[status(thm)],[193]) ).
thf(199,plain,
( ( b @ fp32 @ fp32 @ fp32 )
!= n0 ),
inference(simp,[status(thm)],[195]) ).
thf(5307,plain,
! [A: $i] :
( ( ( b @ fp31 @ fp32 @ half @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp32 )
!= n0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4012,86]) ).
thf(5308,plain,
! [A: $i] :
( ( ( b @ fp31 @ fp32 @ half @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp32 )
!= n0 ) ),
inference(simp,[status(thm)],[5307]) ).
thf(5309,plain,
( ( b @ fp31 @ fp32 @ half @ fp32 )
!= n0 ),
inference(pattern_uni,[status(thm)],[5308:[bind(A,$thf( b @ fp31 @ fp32 @ half ))]]) ).
thf(949,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp32 @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp32 )
!= n0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[414,86]) ).
thf(950,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp32 @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp32 )
!= n0 ) ),
inference(simp,[status(thm)],[949]) ).
thf(951,plain,
( ( b @ fp32 @ fp32 @ fp31 @ fp32 )
!= n0 ),
inference(pattern_uni,[status(thm)],[950:[bind(A,$thf( b @ fp32 @ fp32 @ fp31 ))]]) ).
thf(3039,plain,
! [A: $i] :
( ( ( b @ fp31 @ fp32 @ fp32 @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp31 )
!= n0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1377,466]) ).
thf(3040,plain,
! [A: $i] :
( ( ( b @ fp31 @ fp32 @ fp32 @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp31 )
!= n0 ) ),
inference(simp,[status(thm)],[3039]) ).
thf(3041,plain,
( ( b @ fp31 @ fp32 @ fp32 @ fp32 @ fp31 )
!= n0 ),
inference(pattern_uni,[status(thm)],[3040:[bind(A,$thf( b @ fp31 @ fp32 @ fp32 @ fp32 ))]]) ).
thf(8,axiom,
! [A: $i] : ( A @ ( n0 @ ( A @ add ) @ equalish ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_identity) ).
thf(31,plain,
! [A: $i] : ( A @ ( n0 @ ( A @ add ) @ equalish ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(6897,plain,
! [A: $i] :
( ( ( b @ half @ fp31 @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp32 )
!= n0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4978,86]) ).
thf(6898,plain,
! [A: $i] :
( ( ( b @ half @ fp31 @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp32 )
!= n0 ) ),
inference(simp,[status(thm)],[6897]) ).
thf(6899,plain,
( ( b @ half @ fp31 @ fp31 @ fp32 )
!= n0 ),
inference(pattern_uni,[status(thm)],[6898:[bind(A,$thf( b @ half @ fp31 @ fp31 ))]]) ).
thf(5291,plain,
! [A: $i] :
( ( ( b @ fp31 @ fp32 @ half @ ( n0 @ less_than ) )
!= ( A @ ( A @ less_than ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4012,34]) ).
thf(5292,plain,
! [A: $i] :
( ( b @ fp31 @ fp32 @ half @ ( n0 @ less_than ) )
!= ( A @ ( A @ less_than ) ) ),
inference(simp,[status(thm)],[5291]) ).
thf(5336,plain,
! [A: $i] :
( ( ( b @ fp31 @ fp32 @ half )
!= A )
| ( n0 != A ) ),
inference(simp,[status(thm)],[5292]) ).
thf(5347,plain,
( ( b @ fp31 @ fp32 @ half )
!= n0 ),
inference(simp,[status(thm)],[5336]) ).
thf(3354,plain,
! [A: $i] :
( ( ( b @ fp31 @ fp31 @ fp32 @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp32 )
!= n0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1489,86]) ).
thf(3355,plain,
! [A: $i] :
( ( ( b @ fp31 @ fp31 @ fp32 @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp32 )
!= n0 ) ),
inference(simp,[status(thm)],[3354]) ).
thf(3356,plain,
( ( b @ fp31 @ fp31 @ fp32 @ fp32 @ fp32 )
!= n0 ),
inference(pattern_uni,[status(thm)],[3355:[bind(A,$thf( b @ fp31 @ fp31 @ fp32 @ fp32 ))]]) ).
thf(169,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( A @ less_than ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[98,34]) ).
thf(170,plain,
! [A: $i] :
( ( b @ fp32 @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( A @ less_than ) ) ),
inference(simp,[status(thm)],[169]) ).
thf(171,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp32 )
!= A )
| ( n0 != A ) ),
inference(simp,[status(thm)],[170]) ).
thf(175,plain,
( ( b @ fp32 @ fp32 )
!= n0 ),
inference(simp,[status(thm)],[171]) ).
thf(6990,plain,
! [A: $i] :
( ( ( b @ fp31 @ fp32 @ fp31 @ half @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp31 )
!= n0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[3887,466]) ).
thf(6991,plain,
! [A: $i] :
( ( ( b @ fp31 @ fp32 @ fp31 @ half @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp31 )
!= n0 ) ),
inference(simp,[status(thm)],[6990]) ).
thf(6992,plain,
( ( b @ fp31 @ fp32 @ fp31 @ half @ fp31 )
!= n0 ),
inference(pattern_uni,[status(thm)],[6991:[bind(A,$thf( b @ fp31 @ fp32 @ fp31 @ half ))]]) ).
thf(6335,plain,
! [A: $i] :
( ( ( b @ half @ fp32 @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp32 )
!= n0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4797,86]) ).
thf(6336,plain,
! [A: $i] :
( ( ( b @ half @ fp32 @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp32 )
!= n0 ) ),
inference(simp,[status(thm)],[6335]) ).
thf(6337,plain,
( ( b @ half @ fp32 @ fp31 @ fp32 )
!= n0 ),
inference(pattern_uni,[status(thm)],[6336:[bind(A,$thf( b @ half @ fp32 @ fp31 ))]]) ).
thf(130,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ fp32 @ ( n0 @ less_than ) )
!= ( B @ fp32 @ ( a @ minus @ ( C @ add ) @ absolute @ less_than ) ) )
| ( B @ ( l2 @ minus @ ( C @ g @ add ) @ absolute @ less_than ) )
| ~ $true
| ~ ( B @ ( n0 @ less_than ) )
| ~ ( A @ ( n0 @ less_than ) ) ),
inference(paramod_ordered,[status(thm)],[29,25]) ).
thf(131,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ fp32 @ ( n0 @ less_than ) )
!= ( B @ fp32 @ ( a @ minus @ ( C @ add ) @ absolute @ less_than ) ) )
| ( B @ ( l2 @ minus @ ( C @ g @ add ) @ absolute @ less_than ) )
| ~ ( B @ ( n0 @ less_than ) )
| ~ ( A @ ( n0 @ less_than ) ) ),
inference(simp,[status(thm)],[130]) ).
thf(143,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ fp32 )
!= ( B @ fp32 ) )
| ( ( a @ minus @ ( C @ add ) @ absolute )
!= n0 )
| ~ ( B @ ( n0 @ less_than ) )
| ~ ( A @ ( n0 @ less_than ) )
| ( B @ ( l2 @ minus @ ( C @ g @ add ) @ absolute @ less_than ) ) ),
inference(simp,[status(thm)],[131]) ).
thf(99,plain,
! [A: $i] :
( ( ( b @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( A @ less_than ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[78,34]) ).
thf(100,plain,
! [A: $i] :
( ( b @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( A @ less_than ) ) ),
inference(simp,[status(thm)],[99]) ).
thf(103,plain,
! [A: $i] :
( ( ( b @ fp32 )
!= A )
| ( n0 != A ) ),
inference(simp,[status(thm)],[100]) ).
thf(104,plain,
( ( b @ fp32 )
!= n0 ),
inference(simp,[status(thm)],[103]) ).
thf(5330,plain,
! [A: $i] :
( ( ( b @ fp31 @ fp32 @ half @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ fp31 @ ( n0 @ less_than ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4012,30]) ).
thf(5331,plain,
! [A: $i] :
( ( ( b @ fp31 @ fp32 @ half @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ fp31 @ ( n0 @ less_than ) ) ),
inference(simp,[status(thm)],[5330]) ).
thf(5332,plain,
b @ fp31 @ fp32 @ half @ fp31 @ ( n0 @ less_than ),
inference(pattern_uni,[status(thm)],[5331:[bind(A,$thf( b @ fp31 @ fp32 @ half ))]]) ).
thf(9815,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp32 @ fp32 @ half @ ( n0 @ less_than ) )
!= ( A @ ( A @ less_than ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4069,34]) ).
thf(9816,plain,
! [A: $i] :
( ( b @ fp32 @ fp32 @ fp32 @ half @ ( n0 @ less_than ) )
!= ( A @ ( A @ less_than ) ) ),
inference(simp,[status(thm)],[9815]) ).
thf(9868,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp32 @ fp32 @ half )
!= A )
| ( n0 != A ) ),
inference(simp,[status(thm)],[9816]) ).
thf(9876,plain,
( ( b @ fp32 @ fp32 @ fp32 @ half )
!= n0 ),
inference(simp,[status(thm)],[9868]) ).
thf(2883,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp31 @ fp31 @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp31 )
!= n0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1321,466]) ).
thf(2884,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp31 @ fp31 @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp31 )
!= n0 ) ),
inference(simp,[status(thm)],[2883]) ).
thf(2885,plain,
( ( b @ fp32 @ fp31 @ fp31 @ fp32 @ fp31 )
!= n0 ),
inference(pattern_uni,[status(thm)],[2884:[bind(A,$thf( b @ fp32 @ fp31 @ fp31 @ fp32 ))]]) ).
thf(5310,plain,
! [A: $i] :
( ( ( b @ fp31 @ fp32 @ half @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ half @ ( n0 @ less_than ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4012,48]) ).
thf(5311,plain,
! [A: $i] :
( ( ( b @ fp31 @ fp32 @ half @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ half @ ( n0 @ less_than ) ) ),
inference(simp,[status(thm)],[5310]) ).
thf(5312,plain,
b @ fp31 @ fp32 @ half @ half @ ( n0 @ less_than ),
inference(pattern_uni,[status(thm)],[5311:[bind(A,$thf( b @ fp31 @ fp32 @ half ))]]) ).
thf(11464,plain,
! [A: $i] :
( ( ( b @ fp31 @ fp32 @ half @ half @ ( n0 @ less_than ) )
!= ( A @ ( A @ less_than ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[5312,34]) ).
thf(11465,plain,
! [A: $i] :
( ( b @ fp31 @ fp32 @ half @ half @ ( n0 @ less_than ) )
!= ( A @ ( A @ less_than ) ) ),
inference(simp,[status(thm)],[11464]) ).
thf(11523,plain,
! [A: $i] :
( ( ( b @ fp31 @ fp32 @ half @ half )
!= A )
| ( n0 != A ) ),
inference(simp,[status(thm)],[11465]) ).
thf(11530,plain,
( ( b @ fp31 @ fp32 @ half @ half )
!= n0 ),
inference(simp,[status(thm)],[11523]) ).
thf(68,plain,
! [B: $i,A: $i] :
( ( ( A @ fp32 @ ( n0 @ less_than ) )
!= ( B @ ( n0 @ less_than ) ) )
| ( B @ fp32 @ ( n0 @ less_than ) )
| ~ $true
| ~ ( A @ ( n0 @ less_than ) ) ),
inference(paramod_ordered,[status(thm)],[29,29]) ).
thf(69,plain,
! [B: $i,A: $i] :
( ( ( A @ fp32 @ ( n0 @ less_than ) )
!= ( B @ ( n0 @ less_than ) ) )
| ( B @ fp32 @ ( n0 @ less_than ) )
| ~ ( A @ ( n0 @ less_than ) ) ),
inference(simp,[status(thm)],[68]) ).
thf(70,plain,
! [A: $i] :
( ( A @ fp32 @ fp32 @ ( n0 @ less_than ) )
| ~ ( A @ ( n0 @ less_than ) ) ),
inference(pattern_uni,[status(thm)],[69:[bind(A,$thf( C )),bind(B,$thf( C @ fp32 ))]]) ).
thf(87,plain,
! [A: $i] :
( ( A @ fp32 @ fp32 @ ( n0 @ less_than ) )
| ~ ( A @ ( n0 @ less_than ) ) ),
inference(simp,[status(thm)],[70]) ).
thf(5198,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp32 @ half @ ( n0 @ less_than ) )
!= ( A @ ( A @ less_than ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[3998,34]) ).
thf(5199,plain,
! [A: $i] :
( ( b @ fp32 @ fp32 @ half @ ( n0 @ less_than ) )
!= ( A @ ( A @ less_than ) ) ),
inference(simp,[status(thm)],[5198]) ).
thf(5244,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp32 @ half )
!= A )
| ( n0 != A ) ),
inference(simp,[status(thm)],[5199]) ).
thf(5258,plain,
( ( b @ fp32 @ fp32 @ half )
!= n0 ),
inference(simp,[status(thm)],[5244]) ).
thf(2387,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp31 @ fp32 @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp32 )
!= n0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1066,86]) ).
thf(2388,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp31 @ fp32 @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp32 )
!= n0 ) ),
inference(simp,[status(thm)],[2387]) ).
thf(2389,plain,
( ( b @ fp32 @ fp31 @ fp32 @ fp32 @ fp32 )
!= n0 ),
inference(pattern_uni,[status(thm)],[2388:[bind(A,$thf( b @ fp32 @ fp31 @ fp32 @ fp32 ))]]) ).
thf(4037,plain,
! [A: $i] :
( ( ( b @ fp31 @ fp32 @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ half @ ( n0 @ less_than ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[699,48]) ).
thf(4038,plain,
! [A: $i] :
( ( ( b @ fp31 @ fp32 @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ half @ ( n0 @ less_than ) ) ),
inference(simp,[status(thm)],[4037]) ).
thf(4039,plain,
b @ fp31 @ fp32 @ fp32 @ half @ ( n0 @ less_than ),
inference(pattern_uni,[status(thm)],[4038:[bind(A,$thf( b @ fp31 @ fp32 @ fp32 ))]]) ).
thf(9081,plain,
! [A: $i] :
( ( ( b @ fp31 @ fp32 @ fp32 @ half @ ( n0 @ less_than ) )
!= ( A @ ( A @ less_than ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4039,34]) ).
thf(9082,plain,
! [A: $i] :
( ( b @ fp31 @ fp32 @ fp32 @ half @ ( n0 @ less_than ) )
!= ( A @ ( A @ less_than ) ) ),
inference(simp,[status(thm)],[9081]) ).
thf(9137,plain,
! [A: $i] :
( ( ( b @ fp31 @ fp32 @ fp32 @ half )
!= A )
| ( n0 != A ) ),
inference(simp,[status(thm)],[9082]) ).
thf(9147,plain,
( ( b @ fp31 @ fp32 @ fp32 @ half )
!= n0 ),
inference(simp,[status(thm)],[9137]) ).
thf(40,plain,
! [B: $i,A: $i] :
( ( A @ ( B @ ( A @ minimum ) @ less_than ) )
| ~ ( B @ ( n0 @ less_than ) )
| ~ ( A @ ( n0 @ less_than ) ) ),
inference(cnf,[status(esa)],[39]) ).
thf(650,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp32 )
!= n0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[432,86]) ).
thf(651,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp32 )
!= n0 ) ),
inference(simp,[status(thm)],[650]) ).
thf(652,plain,
( ( b @ fp32 @ fp31 @ fp32 )
!= n0 ),
inference(pattern_uni,[status(thm)],[651:[bind(A,$thf( b @ fp32 @ fp31 ))]]) ).
thf(53,plain,
! [A: $i] :
( ( ( b @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ~ ( b @ ( l2 @ minus @ ( A @ fp33 @ g @ add ) @ absolute @ ( l1 @ minus @ ( A @ fp33 @ f @ add ) @ absolute @ add ) @ less_than ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[18,28]) ).
thf(54,plain,
! [A: $i] :
( ( ( b @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ~ ( b @ ( l2 @ minus @ ( A @ fp33 @ g @ add ) @ absolute @ ( l1 @ minus @ ( A @ fp33 @ f @ add ) @ absolute @ add ) @ less_than ) ) ),
inference(simp,[status(thm)],[53]) ).
thf(55,plain,
~ ( b @ ( l2 @ minus @ ( b @ fp33 @ g @ add ) @ absolute @ ( l1 @ minus @ ( b @ fp33 @ f @ add ) @ absolute @ add ) @ less_than ) ),
inference(pattern_uni,[status(thm)],[54:[bind(A,$thf( b ))]]) ).
thf(6616,plain,
! [A: $i] :
( ( ( b @ half @ half @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp32 )
!= n0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4890,86]) ).
thf(6617,plain,
! [A: $i] :
( ( ( b @ half @ half @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp32 )
!= n0 ) ),
inference(simp,[status(thm)],[6616]) ).
thf(6618,plain,
( ( b @ half @ half @ fp31 @ fp32 )
!= n0 ),
inference(pattern_uni,[status(thm)],[6617:[bind(A,$thf( b @ half @ half @ fp31 ))]]) ).
thf(4772,plain,
! [A: $i] :
( ( ( b @ half @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp32 )
!= n0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4141,86]) ).
thf(4773,plain,
! [A: $i] :
( ( ( b @ half @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp32 )
!= n0 ) ),
inference(simp,[status(thm)],[4772]) ).
thf(4774,plain,
( ( b @ half @ fp32 @ fp32 )
!= n0 ),
inference(pattern_uni,[status(thm)],[4773:[bind(A,$thf( b @ half @ fp32 ))]]) ).
thf(3759,plain,
! [A: $i] :
( ( ( b @ fp31 @ fp31 @ fp31 @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp31 )
!= n0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1583,466]) ).
thf(3760,plain,
! [A: $i] :
( ( ( b @ fp31 @ fp31 @ fp31 @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp31 )
!= n0 ) ),
inference(simp,[status(thm)],[3759]) ).
thf(3761,plain,
( ( b @ fp31 @ fp31 @ fp31 @ fp31 @ fp31 )
!= n0 ),
inference(pattern_uni,[status(thm)],[3760:[bind(A,$thf( b @ fp31 @ fp31 @ fp31 @ fp31 ))]]) ).
thf(5867,plain,
! [A: $i] :
( ( ( b @ fp31 @ half @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp32 )
!= n0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4309,86]) ).
thf(5868,plain,
! [A: $i] :
( ( ( b @ fp31 @ half @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp32 )
!= n0 ) ),
inference(simp,[status(thm)],[5867]) ).
thf(5869,plain,
( ( b @ fp31 @ half @ fp32 @ fp32 )
!= n0 ),
inference(pattern_uni,[status(thm)],[5868:[bind(A,$thf( b @ fp31 @ half @ fp32 ))]]) ).
thf(1511,plain,
! [A: $i] :
( ( ( b @ fp31 @ fp31 @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp32 )
!= n0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[738,86]) ).
thf(1512,plain,
! [A: $i] :
( ( ( b @ fp31 @ fp31 @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp32 )
!= n0 ) ),
inference(simp,[status(thm)],[1511]) ).
thf(1513,plain,
( ( b @ fp31 @ fp31 @ fp32 @ fp32 )
!= n0 ),
inference(pattern_uni,[status(thm)],[1512:[bind(A,$thf( b @ fp31 @ fp31 @ fp32 ))]]) ).
thf(5217,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp32 @ half @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ half @ ( n0 @ less_than ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[3998,48]) ).
thf(5218,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp32 @ half @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( A @ half @ ( n0 @ less_than ) ) ),
inference(simp,[status(thm)],[5217]) ).
thf(5219,plain,
b @ fp32 @ fp32 @ half @ half @ ( n0 @ less_than ),
inference(pattern_uni,[status(thm)],[5218:[bind(A,$thf( b @ fp32 @ fp32 @ half ))]]) ).
thf(11099,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp32 @ half @ half @ ( n0 @ less_than ) )
!= ( A @ ( A @ less_than ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[5219,34]) ).
thf(11100,plain,
! [A: $i] :
( ( b @ fp32 @ fp32 @ half @ half @ ( n0 @ less_than ) )
!= ( A @ ( A @ less_than ) ) ),
inference(simp,[status(thm)],[11099]) ).
thf(11155,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp32 @ half @ half )
!= A )
| ( n0 != A ) ),
inference(simp,[status(thm)],[11100]) ).
thf(11167,plain,
( ( b @ fp32 @ fp32 @ half @ half )
!= n0 ),
inference(simp,[status(thm)],[11155]) ).
thf(36,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( A @ less_than ) )
| ~ ( C @ ( B @ less_than ) )
| ~ ( B @ ( A @ less_than ) ) ),
inference(cnf,[status(esa)],[35]) ).
thf(6148,plain,
! [A: $i] :
( ( ( b @ half @ fp32 @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp32 )
!= n0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4741,86]) ).
thf(6149,plain,
! [A: $i] :
( ( ( b @ half @ fp32 @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp32 )
!= n0 ) ),
inference(simp,[status(thm)],[6148]) ).
thf(6150,plain,
( ( b @ half @ fp32 @ fp32 @ fp32 )
!= n0 ),
inference(pattern_uni,[status(thm)],[6149:[bind(A,$thf( b @ half @ fp32 @ fp32 ))]]) ).
thf(208,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp32 @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp32 )
!= n0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[168,86]) ).
thf(209,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp32 @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp32 )
!= n0 ) ),
inference(simp,[status(thm)],[208]) ).
thf(210,plain,
( ( b @ fp32 @ fp32 @ fp32 @ fp32 )
!= n0 ),
inference(pattern_uni,[status(thm)],[209:[bind(A,$thf( b @ fp32 @ fp32 @ fp32 ))]]) ).
thf(5402,plain,
! [A: $i] :
( ( ( b @ fp31 @ fp31 @ half @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp32 )
!= n0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4030,86]) ).
thf(5403,plain,
! [A: $i] :
( ( ( b @ fp31 @ fp31 @ half @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp32 )
!= n0 ) ),
inference(simp,[status(thm)],[5402]) ).
thf(5404,plain,
( ( b @ fp31 @ fp31 @ half @ fp32 )
!= n0 ),
inference(pattern_uni,[status(thm)],[5403:[bind(A,$thf( b @ fp31 @ fp31 @ half ))]]) ).
thf(1031,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp31 )
!= n0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[432,466]) ).
thf(1032,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp31 )
!= n0 ) ),
inference(simp,[status(thm)],[1031]) ).
thf(1033,plain,
( ( b @ fp32 @ fp31 @ fp31 )
!= n0 ),
inference(pattern_uni,[status(thm)],[1032:[bind(A,$thf( b @ fp32 @ fp31 ))]]) ).
thf(1889,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp32 @ fp32 @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp32 )
!= n0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[450,86]) ).
thf(1890,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp32 @ fp32 @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp32 )
!= n0 ) ),
inference(simp,[status(thm)],[1889]) ).
thf(1891,plain,
( ( b @ fp32 @ fp32 @ fp32 @ fp31 @ fp32 )
!= n0 ),
inference(pattern_uni,[status(thm)],[1890:[bind(A,$thf( b @ fp32 @ fp32 @ fp32 @ fp31 ))]]) ).
thf(2964,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp31 @ fp31 @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp32 )
!= n0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1359,86]) ).
thf(2965,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp31 @ fp31 @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp32 )
!= n0 ) ),
inference(simp,[status(thm)],[2964]) ).
thf(2966,plain,
( ( b @ fp32 @ fp31 @ fp31 @ fp31 @ fp32 )
!= n0 ),
inference(pattern_uni,[status(thm)],[2965:[bind(A,$thf( b @ fp32 @ fp31 @ fp31 @ fp31 ))]]) ).
thf(8525,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp32 @ fp31 @ half @ ( n0 @ less_than ) )
!= ( A @ ( A @ less_than ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4027,34]) ).
thf(8526,plain,
! [A: $i] :
( ( b @ fp32 @ fp32 @ fp31 @ half @ ( n0 @ less_than ) )
!= ( A @ ( A @ less_than ) ) ),
inference(simp,[status(thm)],[8525]) ).
thf(8578,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp32 @ fp31 @ half )
!= A )
| ( n0 != A ) ),
inference(simp,[status(thm)],[8526]) ).
thf(8585,plain,
( ( b @ fp32 @ fp32 @ fp31 @ half )
!= n0 ),
inference(simp,[status(thm)],[8578]) ).
thf(56,plain,
! [A: $i] :
( ( ( b @ ( l2 @ minus @ ( A @ fp33 @ g @ add ) @ absolute @ ( l1 @ minus @ ( A @ fp33 @ f @ add ) @ absolute @ add ) @ less_than ) )
!= ( b @ ( n0 @ less_than ) ) )
| ~ $true
| ~ ( A @ ( n0 @ less_than ) ) ),
inference(paramod_ordered,[status(thm)],[18,28]) ).
thf(57,plain,
! [A: $i] :
( ( ( b @ ( l2 @ minus @ ( A @ fp33 @ g @ add ) @ absolute @ ( l1 @ minus @ ( A @ fp33 @ f @ add ) @ absolute @ add ) @ less_than ) )
!= ( b @ ( n0 @ less_than ) ) )
| ~ ( A @ ( n0 @ less_than ) ) ),
inference(simp,[status(thm)],[56]) ).
thf(59,plain,
! [A: $i] :
( ( b != b )
| ( ( l2 @ minus @ ( A @ fp33 @ g @ add ) @ absolute @ ( l1 @ minus @ ( A @ fp33 @ f @ add ) @ absolute @ add ) )
!= n0 )
| ~ ( A @ ( n0 @ less_than ) ) ),
inference(simp,[status(thm)],[57]) ).
thf(62,plain,
! [A: $i] :
( ( ( l2 @ minus @ ( A @ fp33 @ g @ add ) @ absolute @ ( l1 @ minus @ ( A @ fp33 @ f @ add ) @ absolute @ add ) )
!= n0 )
| ~ ( A @ ( n0 @ less_than ) ) ),
inference(simp,[status(thm)],[59]) ).
thf(4953,plain,
! [A: $i] :
( ( ( b @ half @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp32 )
!= n0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4194,86]) ).
thf(4954,plain,
! [A: $i] :
( ( ( b @ half @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp32 )
!= n0 ) ),
inference(simp,[status(thm)],[4953]) ).
thf(4955,plain,
( ( b @ half @ fp31 @ fp32 )
!= n0 ),
inference(pattern_uni,[status(thm)],[4954:[bind(A,$thf( b @ half @ fp31 ))]]) ).
thf(689,plain,
! [A: $i] :
( ( ( b @ fp31 @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp32 )
!= n0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[487,86]) ).
thf(690,plain,
! [A: $i] :
( ( ( b @ fp31 @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp32 )
!= n0 ) ),
inference(simp,[status(thm)],[689]) ).
thf(691,plain,
( ( b @ fp31 @ fp32 @ fp32 )
!= n0 ),
inference(pattern_uni,[status(thm)],[690:[bind(A,$thf( b @ fp31 @ fp32 ))]]) ).
thf(6977,plain,
! [A: $i] :
( ( ( b @ fp31 @ fp32 @ fp31 @ half @ ( n0 @ less_than ) )
!= ( A @ ( A @ less_than ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[3887,34]) ).
thf(6978,plain,
! [A: $i] :
( ( b @ fp31 @ fp32 @ fp31 @ half @ ( n0 @ less_than ) )
!= ( A @ ( A @ less_than ) ) ),
inference(simp,[status(thm)],[6977]) ).
thf(7022,plain,
! [A: $i] :
( ( ( b @ fp31 @ fp32 @ fp31 @ half )
!= A )
| ( n0 != A ) ),
inference(simp,[status(thm)],[6978]) ).
thf(7035,plain,
( ( b @ fp31 @ fp32 @ fp31 @ half )
!= n0 ),
inference(simp,[status(thm)],[7022]) ).
thf(5679,plain,
! [A: $i] :
( ( ( b @ fp32 @ half @ half @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp31 )
!= n0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4258,466]) ).
thf(5680,plain,
! [A: $i] :
( ( ( b @ fp32 @ half @ half @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp31 )
!= n0 ) ),
inference(simp,[status(thm)],[5679]) ).
thf(5681,plain,
( ( b @ fp32 @ half @ half @ fp31 )
!= n0 ),
inference(pattern_uni,[status(thm)],[5680:[bind(A,$thf( b @ fp32 @ half @ half ))]]) ).
thf(5386,plain,
! [A: $i] :
( ( ( b @ fp31 @ fp31 @ half @ ( n0 @ less_than ) )
!= ( A @ ( A @ less_than ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4030,34]) ).
thf(5387,plain,
! [A: $i] :
( ( b @ fp31 @ fp31 @ half @ ( n0 @ less_than ) )
!= ( A @ ( A @ less_than ) ) ),
inference(simp,[status(thm)],[5386]) ).
thf(5431,plain,
! [A: $i] :
( ( ( b @ fp31 @ fp31 @ half )
!= A )
| ( n0 != A ) ),
inference(simp,[status(thm)],[5387]) ).
thf(5445,plain,
( ( b @ fp31 @ fp31 @ half )
!= n0 ),
inference(simp,[status(thm)],[5431]) ).
thf(3198,plain,
! [A: $i] :
( ( ( b @ fp31 @ fp32 @ fp31 @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp32 )
!= n0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1433,86]) ).
thf(3199,plain,
! [A: $i] :
( ( ( b @ fp31 @ fp32 @ fp31 @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp32 )
!= n0 ) ),
inference(simp,[status(thm)],[3198]) ).
thf(3200,plain,
( ( b @ fp31 @ fp32 @ fp31 @ fp32 @ fp32 )
!= n0 ),
inference(pattern_uni,[status(thm)],[3199:[bind(A,$thf( b @ fp31 @ fp32 @ fp31 @ fp32 ))]]) ).
thf(5492,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp31 @ half @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp31 )
!= n0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4057,466]) ).
thf(5493,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp31 @ half @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp31 )
!= n0 ) ),
inference(simp,[status(thm)],[5492]) ).
thf(5494,plain,
( ( b @ fp32 @ fp31 @ half @ fp31 )
!= n0 ),
inference(pattern_uni,[status(thm)],[5493:[bind(A,$thf( b @ fp32 @ fp31 @ half ))]]) ).
thf(230,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp32 @ fp32 @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp32 )
!= n0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[191,86]) ).
thf(231,plain,
! [A: $i] :
( ( ( b @ fp32 @ fp32 @ fp32 @ fp32 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp32 )
!= n0 ) ),
inference(simp,[status(thm)],[230]) ).
thf(232,plain,
( ( b @ fp32 @ fp32 @ fp32 @ fp32 @ fp32 )
!= n0 ),
inference(pattern_uni,[status(thm)],[231:[bind(A,$thf( b @ fp32 @ fp32 @ fp32 @ fp32 ))]]) ).
thf(6894,plain,
! [A: $i] :
( ( ( b @ half @ fp31 @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp31 )
!= n0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4978,466]) ).
thf(6895,plain,
! [A: $i] :
( ( ( b @ half @ fp31 @ fp31 @ ( n0 @ less_than ) )
!= ( A @ ( n0 @ less_than ) ) )
| ( ( A @ fp31 )
!= n0 ) ),
inference(simp,[status(thm)],[6894]) ).
thf(6896,plain,
( ( b @ half @ fp31 @ fp31 @ fp31 )
!= n0 ),
inference(pattern_uni,[status(thm)],[6895:[bind(A,$thf( b @ half @ fp31 @ fp31 ))]]) ).
thf(18292,plain,
$false,
inference(e,[status(thm)],[138,760,1454,6431,3969,4015,6808,479,6712,6527,88,408,4339,730,1401,1569,6246,4870,3044,2316,2459,1342,42,4371,24,1359,4030,320,37,3597,25,52,5585,5306,3275,5274,3353,1545,3998,5866,20,4194,46,1398,8483,78,4771,29,4141,4952,2456,4903,4258,1489,4205,1415,8379,3887,3966,376,4001,5401,5772,660,1433,1377,5353,1345,988,60,714,3679,2249,4252,6565,28,38,21,137,33,3682,361,1888,1079,4027,6709,5534,3600,1457,6995,980,3119,4012,7468,5497,3122,317,1028,6428,5181,753,5588,5213,4867,1039,997,738,6805,6005,5369,503,41,4069,237,2963,6524,1510,6615,45,6243,4797,6053,5722,34,8040,32,191,3925,22,44,4309,5962,5239,27,5965,4978,144,4171,466,6334,2319,6281,86,681,3764,6147,2246,4958,98,1011,419,3197,39,1471,6849,91,4832,5775,959,5216,1066,4362,267,4890,35,1076,4741,487,4292,6056,3278,4336,4168,675,1583,4255,48,1025,4864,18,414,1566,4922,2386,2888,5684,199,5309,951,3041,31,6899,5347,3356,175,6992,6337,4057,3943,4225,4342,143,497,43,4278,450,1321,104,5332,9876,2885,11530,87,5258,699,2389,9147,40,26,652,55,6618,23,4774,3761,5869,1513,11167,4039,432,36,168,30,6150,1527,19,210,4777,5404,4024,1033,1891,1093,2966,47,8585,5219,62,4955,691,7035,5681,5445,3200,4174,5312,5494,232,6896]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ANA003-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.07 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.13/0.39 % Computer : n008.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Sat Sep 26 22:02:39 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 1.34/1.27 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.87/1.55 % [INFO] Parsing done (283ms).
% 1.87/1.58 % [INFO] Running in sequential loop mode.
% 2.81/2.11 % [INFO] eprover registered as external prover.
% 2.81/2.12 % [INFO] Scanning for conjecture ...
% 3.19/2.24 % [INFO] Found a conjecture (or negated_conjecture) and 10 axioms. Running axiom selection ...
% 3.40/2.30 % [INFO] Axiom selection finished. Selected 10 axioms (removed 0 axioms).
% 3.40/2.33 % [INFO] Problem is propositional (TPTP CNF).
% 3.40/2.33 % [INFO] Type checking passed.
% 3.40/2.34 % [CONFIG] Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>. Searching for refutation ...
% 93.32/21.16 % External prover 'e' found a proof!
% 93.32/21.16 % [INFO] Killing All external provers ...
% 93.32/21.17 % Time passed: 20556ms (effective reasoning time: 19580ms)
% 93.32/21.17 % Axioms used in derivation (10): axiom_7, axiom_2_2, left_identity, axiom_3, right_identity, transitivity_of_less_than, axiom_2_1, c_17, reflexivity_of_less_than, axiom_2_3
% 93.32/21.17 % No. of inferences in proof: 771
% 93.32/21.17 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 20556 ms resp. 19580 ms w/o parsing
% 94.81/21.57 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 94.81/21.58 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------