TSTP Solution File: ANA003-1 by Leo-III---1.7.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.12
% Problem : ANA003-1 : TPTP v8.2.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon May 20 18:38:51 EDT 2024
% Result : Unsatisfiable 125.01s 22.18s
% Output : Refutation 125.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 37
% Syntax : Number of formulae : 204 ( 80 unt; 16 typ; 0 def)
% Number of atoms : 423 ( 170 equ; 0 cnn)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 1566 ( 227 ~; 135 |; 0 &;1204 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 14 ( 14 >; 0 *; 0 +; 0 <<)
% Number of symbols : 18 ( 16 usr; 6 con; 0-2 aty)
% Number of variables : 169 ( 0 ^ 169 !; 0 ?; 169 :)
% Comments :
%------------------------------------------------------------------------------
thf(less_than_type,type,
less_than: $i > $i > $o ).
thf(n0_type,type,
n0: $i ).
thf(fp31_type,type,
fp31: $i > $i ).
thf(absolute_type,type,
absolute: $i > $i ).
thf(add_type,type,
add: $i > $i > $i ).
thf(minus_type,type,
minus: $i > $i ).
thf(a_type,type,
a: $i ).
thf(f_type,type,
f: $i > $i ).
thf(l1_type,type,
l1: $i ).
thf(fp32_type,type,
fp32: $i > $i ).
thf(g_type,type,
g: $i > $i ).
thf(l2_type,type,
l2: $i ).
thf(b_type,type,
b: $i ).
thf(fp33_type,type,
fp33: $i > $i ).
thf(minimum_type,type,
minimum: $i > $i > $i ).
thf(half_type,type,
half: $i > $i ).
thf(15,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( less_than @ A @ ( half @ B ) )
| ~ ( less_than @ C @ ( half @ B ) )
| ( less_than @ ( add @ A @ C ) @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
thf(49,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( less_than @ A @ ( half @ B ) )
| ~ ( less_than @ C @ ( half @ B ) )
| ( less_than @ ( add @ A @ C ) @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(5,negated_conjecture,
less_than @ n0 @ b,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_14) ).
thf(22,plain,
less_than @ n0 @ b,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(3,negated_conjecture,
! [A: $i] :
( ~ ( less_than @ n0 @ A )
| ( less_than @ n0 @ ( fp32 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_12) ).
thf(27,plain,
! [A: $i] :
( ~ ( less_than @ n0 @ A )
| ( less_than @ n0 @ ( fp32 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(32,plain,
! [A: $i] :
( ~ ( less_than @ n0 @ A )
| ( less_than @ n0 @ ( fp32 @ A ) ) ),
inference(cnf,[status(esa)],[27]) ).
thf(120,plain,
! [A: $i] :
( ( less_than @ n0 @ ( fp32 @ A ) )
| ( ( less_than @ n0 @ b )
!= ( less_than @ n0 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[22,32]) ).
thf(121,plain,
less_than @ n0 @ ( fp32 @ b ),
inference(pattern_uni,[status(thm)],[120:[bind(A,$thf( b ))]]) ).
thf(1,negated_conjecture,
! [A: $i] :
( ~ ( less_than @ n0 @ A )
| ( less_than @ n0 @ ( fp31 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_10) ).
thf(23,plain,
! [A: $i] :
( ~ ( less_than @ n0 @ A )
| ( less_than @ n0 @ ( fp31 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(34,plain,
! [A: $i] :
( ~ ( less_than @ n0 @ A )
| ( less_than @ n0 @ ( fp31 @ A ) ) ),
inference(cnf,[status(esa)],[23]) ).
thf(627,plain,
! [A: $i] :
( ( less_than @ n0 @ ( fp31 @ A ) )
| ( ( less_than @ n0 @ ( fp32 @ b ) )
!= ( less_than @ n0 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[121,34]) ).
thf(628,plain,
less_than @ n0 @ ( fp31 @ ( fp32 @ b ) ),
inference(pattern_uni,[status(thm)],[627:[bind(A,$thf( fp32 @ b ))]]) ).
thf(9,axiom,
! [A: $i] :
( ( add @ n0 @ A )
= A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
thf(37,plain,
! [A: $i] :
( ( add @ n0 @ A )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(38,plain,
! [A: $i] :
( ( add @ n0 @ A )
= A ),
inference(lifteq,[status(thm)],[37]) ).
thf(6,negated_conjecture,
! [A: $i] :
( ~ ( less_than @ n0 @ A )
| ( less_than @ ( absolute @ ( add @ ( fp33 @ A ) @ ( minus @ a ) ) ) @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_15) ).
thf(24,plain,
! [A: $i] :
( ~ ( less_than @ n0 @ A )
| ( less_than @ ( absolute @ ( add @ ( fp33 @ A ) @ ( minus @ a ) ) ) @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(30,plain,
! [A: $i] :
( ~ ( less_than @ n0 @ A )
| ( less_than @ ( absolute @ ( add @ ( fp33 @ A ) @ ( minus @ a ) ) ) @ A ) ),
inference(cnf,[status(esa)],[24]) ).
thf(262,plain,
! [A: $i] :
( ( less_than @ ( absolute @ ( add @ ( fp33 @ A ) @ ( minus @ a ) ) ) @ A )
| ( ( less_than @ n0 @ ( fp32 @ b ) )
!= ( less_than @ n0 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[121,30]) ).
thf(263,plain,
less_than @ ( absolute @ ( add @ ( fp33 @ ( fp32 @ b ) ) @ ( minus @ a ) ) ) @ ( fp32 @ b ),
inference(pattern_uni,[status(thm)],[262:[bind(A,$thf( fp32 @ b ))]]) ).
thf(10,axiom,
! [A: $i] :
~ ( less_than @ A @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_of_less_than) ).
thf(39,plain,
! [A: $i] :
~ ( less_than @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(40,plain,
! [A: $i] :
~ ( less_than @ A @ A ),
inference(polarity_switch,[status(thm)],[39]) ).
thf(521,plain,
! [A: $i] :
( ( less_than @ ( absolute @ ( add @ ( fp33 @ ( fp32 @ b ) ) @ ( minus @ a ) ) ) @ ( fp32 @ b ) )
!= ( less_than @ A @ A ) ),
inference(paramod_ordered,[status(thm)],[263,40]) ).
thf(537,plain,
! [A: $i] :
( ( ( absolute @ ( add @ ( fp33 @ ( fp32 @ b ) ) @ ( minus @ a ) ) )
!= A )
| ( ( fp32 @ b )
!= A ) ),
inference(simp,[status(thm)],[521]) ).
thf(548,plain,
( ( absolute @ ( add @ ( fp33 @ ( fp32 @ b ) ) @ ( minus @ a ) ) )
!= ( fp32 @ b ) ),
inference(simp,[status(thm)],[537]) ).
thf(551,plain,
! [A: $i] :
( ( ( absolute @ A )
!= ( fp32 @ b ) )
| ( ( add @ n0 @ A )
!= ( add @ ( fp33 @ ( fp32 @ b ) ) @ ( minus @ a ) ) ) ),
inference(paramod_ordered,[status(thm)],[38,548]) ).
thf(553,plain,
! [A: $i] :
( ( ( absolute @ A )
!= ( fp32 @ b ) )
| ( ( fp33 @ ( fp32 @ b ) )
!= n0 )
| ( A
!= ( minus @ a ) ) ),
inference(simp,[status(thm)],[551]) ).
thf(555,plain,
( ( ( fp32 @ b )
!= ( absolute @ ( minus @ a ) ) )
| ( ( fp33 @ ( fp32 @ b ) )
!= n0 ) ),
inference(simp,[status(thm)],[553]) ).
thf(11,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( less_than @ A @ B )
| ~ ( less_than @ B @ C )
| ( less_than @ A @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_of_less_than) ).
thf(41,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( less_than @ A @ B )
| ~ ( less_than @ B @ C )
| ( less_than @ A @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(42,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( less_than @ A @ B )
| ~ ( less_than @ B @ C )
| ( less_than @ A @ C ) ),
inference(cnf,[status(esa)],[41]) ).
thf(2,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( less_than @ n0 @ A )
| ~ ( less_than @ ( absolute @ ( add @ B @ ( minus @ a ) ) ) @ ( fp31 @ A ) )
| ( less_than @ ( absolute @ ( add @ ( f @ B ) @ ( minus @ l1 ) ) ) @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_11) ).
thf(25,plain,
! [B: $i,A: $i] :
( ~ ( less_than @ n0 @ A )
| ~ ( less_than @ ( absolute @ ( add @ B @ ( minus @ a ) ) ) @ ( fp31 @ A ) )
| ( less_than @ ( absolute @ ( add @ ( f @ B ) @ ( minus @ l1 ) ) ) @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(621,plain,
! [A: $i] :
( ( less_than @ n0 @ ( fp31 @ A ) )
| ( ( less_than @ n0 @ b )
!= ( less_than @ n0 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[22,34]) ).
thf(622,plain,
less_than @ n0 @ ( fp31 @ b ),
inference(pattern_uni,[status(thm)],[621:[bind(A,$thf( b ))]]) ).
thf(832,plain,
! [A: $i] :
( ( less_than @ n0 @ ( fp32 @ A ) )
| ( ( less_than @ n0 @ ( fp31 @ b ) )
!= ( less_than @ n0 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[622,32]) ).
thf(833,plain,
less_than @ n0 @ ( fp32 @ ( fp31 @ b ) ),
inference(pattern_uni,[status(thm)],[832:[bind(A,$thf( fp31 @ b ))]]) ).
thf(896,plain,
! [A: $i] :
( ( less_than @ n0 @ ( fp32 @ A ) )
| ( ( less_than @ n0 @ ( fp32 @ ( fp31 @ b ) ) )
!= ( less_than @ n0 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[833,32]) ).
thf(897,plain,
less_than @ n0 @ ( fp32 @ ( fp32 @ ( fp31 @ b ) ) ),
inference(pattern_uni,[status(thm)],[896:[bind(A,$thf( fp32 @ ( fp31 @ b ) ))]]) ).
thf(123,plain,
! [B: $i,A: $i] :
( ~ ( less_than @ n0 @ A )
| ( ( less_than @ n0 @ ( fp32 @ A ) )
!= ( less_than @ B @ B ) ) ),
inference(paramod_ordered,[status(thm)],[32,40]) ).
thf(127,plain,
! [B: $i,A: $i] :
( ~ ( less_than @ n0 @ A )
| ( n0 != B )
| ( ( fp32 @ A )
!= B ) ),
inference(simp,[status(thm)],[123]) ).
thf(132,plain,
! [A: $i] :
( ~ ( less_than @ n0 @ A )
| ( ( fp32 @ A )
!= n0 ) ),
inference(simp,[status(thm)],[127]) ).
thf(1429,plain,
! [A: $i] :
( ( ( fp32 @ A )
!= n0 )
| ( ( less_than @ n0 @ ( fp32 @ ( fp32 @ ( fp31 @ b ) ) ) )
!= ( less_than @ n0 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[897,132]) ).
thf(1430,plain,
( ( fp32 @ ( fp32 @ ( fp32 @ ( fp31 @ b ) ) ) )
!= n0 ),
inference(pattern_uni,[status(thm)],[1429:[bind(A,$thf( fp32 @ ( fp32 @ ( fp31 @ b ) ) ))]]) ).
thf(133,plain,
! [A: $i] :
( ( less_than @ n0 @ ( fp32 @ A ) )
| ( ( less_than @ n0 @ ( fp32 @ b ) )
!= ( less_than @ n0 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[121,32]) ).
thf(134,plain,
less_than @ n0 @ ( fp32 @ ( fp32 @ b ) ),
inference(pattern_uni,[status(thm)],[133:[bind(A,$thf( fp32 @ b ))]]) ).
thf(195,plain,
! [A: $i] :
( ( less_than @ n0 @ ( fp32 @ A ) )
| ( ( less_than @ n0 @ ( fp32 @ ( fp32 @ b ) ) )
!= ( less_than @ n0 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[134,32]) ).
thf(196,plain,
less_than @ n0 @ ( fp32 @ ( fp32 @ ( fp32 @ b ) ) ),
inference(pattern_uni,[status(thm)],[195:[bind(A,$thf( fp32 @ ( fp32 @ b ) ))]]) ).
thf(834,plain,
! [A: $i] :
( ( less_than @ n0 @ ( fp31 @ A ) )
| ( ( less_than @ n0 @ ( fp31 @ b ) )
!= ( less_than @ n0 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[622,34]) ).
thf(835,plain,
less_than @ n0 @ ( fp31 @ ( fp31 @ b ) ),
inference(pattern_uni,[status(thm)],[834:[bind(A,$thf( fp31 @ b ))]]) ).
thf(928,plain,
! [A: $i] :
( ( less_than @ n0 @ ( fp32 @ A ) )
| ( ( less_than @ n0 @ ( fp31 @ ( fp31 @ b ) ) )
!= ( less_than @ n0 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[835,32]) ).
thf(929,plain,
less_than @ n0 @ ( fp32 @ ( fp31 @ ( fp31 @ b ) ) ),
inference(pattern_uni,[status(thm)],[928:[bind(A,$thf( fp31 @ ( fp31 @ b ) ))]]) ).
thf(1513,plain,
! [A: $i] :
( ( ( fp32 @ A )
!= n0 )
| ( ( less_than @ n0 @ ( fp32 @ ( fp31 @ ( fp31 @ b ) ) ) )
!= ( less_than @ n0 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[929,132]) ).
thf(1514,plain,
( ( fp32 @ ( fp32 @ ( fp31 @ ( fp31 @ b ) ) ) )
!= n0 ),
inference(pattern_uni,[status(thm)],[1513:[bind(A,$thf( fp32 @ ( fp31 @ ( fp31 @ b ) ) ))]]) ).
thf(13,axiom,
! [B: $i,A: $i] :
( ~ ( less_than @ n0 @ A )
| ~ ( less_than @ n0 @ B )
| ( less_than @ ( minimum @ A @ B ) @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2_2) ).
thf(45,plain,
! [B: $i,A: $i] :
( ~ ( less_than @ n0 @ A )
| ~ ( less_than @ n0 @ B )
| ( less_than @ ( minimum @ A @ B ) @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(46,plain,
! [B: $i,A: $i] :
( ~ ( less_than @ n0 @ A )
| ~ ( less_than @ n0 @ B )
| ( less_than @ ( minimum @ A @ B ) @ A ) ),
inference(cnf,[status(esa)],[45]) ).
thf(19,axiom,
! [A: $i] :
( ~ ( less_than @ n0 @ A )
| ( less_than @ n0 @ ( half @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6_2) ).
thf(57,plain,
! [A: $i] :
( ~ ( less_than @ n0 @ A )
| ( less_than @ n0 @ ( half @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(4,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( less_than @ n0 @ A )
| ~ ( less_than @ ( absolute @ ( add @ B @ ( minus @ a ) ) ) @ ( fp32 @ A ) )
| ( less_than @ ( absolute @ ( add @ ( g @ B ) @ ( minus @ l2 ) ) ) @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_13) ).
thf(28,plain,
! [B: $i,A: $i] :
( ~ ( less_than @ n0 @ A )
| ~ ( less_than @ ( absolute @ ( add @ B @ ( minus @ a ) ) ) @ ( fp32 @ A ) )
| ( less_than @ ( absolute @ ( add @ ( g @ B ) @ ( minus @ l2 ) ) ) @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(29,plain,
! [B: $i,A: $i] :
( ~ ( less_than @ n0 @ A )
| ~ ( less_than @ ( absolute @ ( add @ B @ ( minus @ a ) ) ) @ ( fp32 @ A ) )
| ( less_than @ ( absolute @ ( add @ ( g @ B ) @ ( minus @ l2 ) ) ) @ A ) ),
inference(cnf,[status(esa)],[28]) ).
thf(930,plain,
! [A: $i] :
( ( less_than @ n0 @ ( fp31 @ A ) )
| ( ( less_than @ n0 @ ( fp31 @ ( fp31 @ b ) ) )
!= ( less_than @ n0 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[835,34]) ).
thf(931,plain,
less_than @ n0 @ ( fp31 @ ( fp31 @ ( fp31 @ b ) ) ),
inference(pattern_uni,[status(thm)],[930:[bind(A,$thf( fp31 @ ( fp31 @ b ) ))]]) ).
thf(1547,plain,
! [A: $i] :
( ( less_than @ n0 @ ( fp31 @ ( fp31 @ ( fp31 @ b ) ) ) )
!= ( less_than @ A @ A ) ),
inference(paramod_ordered,[status(thm)],[931,40]) ).
thf(1576,plain,
! [A: $i] :
( ( n0 != A )
| ( ( fp31 @ ( fp31 @ ( fp31 @ b ) ) )
!= A ) ),
inference(simp,[status(thm)],[1547]) ).
thf(1581,plain,
( ( fp31 @ ( fp31 @ ( fp31 @ b ) ) )
!= n0 ),
inference(simp,[status(thm)],[1576]) ).
thf(270,plain,
! [A: $i] :
( ( less_than @ ( absolute @ ( add @ ( fp33 @ A ) @ ( minus @ a ) ) ) @ A )
| ( ( less_than @ n0 @ b )
!= ( less_than @ n0 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[22,30]) ).
thf(271,plain,
less_than @ ( absolute @ ( add @ ( fp33 @ b ) @ ( minus @ a ) ) ) @ b,
inference(pattern_uni,[status(thm)],[270:[bind(A,$thf( b ))]]) ).
thf(330,plain,
! [A: $i] :
( ( less_than @ ( absolute @ ( add @ ( fp33 @ b ) @ ( minus @ a ) ) ) @ b )
!= ( less_than @ A @ A ) ),
inference(paramod_ordered,[status(thm)],[271,40]) ).
thf(342,plain,
! [A: $i] :
( ( ( absolute @ ( add @ ( fp33 @ b ) @ ( minus @ a ) ) )
!= A )
| ( b != A ) ),
inference(simp,[status(thm)],[330]) ).
thf(353,plain,
( ( absolute @ ( add @ ( fp33 @ b ) @ ( minus @ a ) ) )
!= b ),
inference(simp,[status(thm)],[342]) ).
thf(21,axiom,
! [B: $i,A: $i] :
( ( minus @ ( add @ A @ B ) )
= ( add @ ( minus @ A ) @ ( minus @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).
thf(61,plain,
! [B: $i,A: $i] :
( ( minus @ ( add @ A @ B ) )
= ( add @ ( minus @ A ) @ ( minus @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(635,plain,
! [A: $i] :
( ( less_than @ n0 @ ( fp31 @ A ) )
| ( ( less_than @ n0 @ ( fp32 @ ( fp32 @ b ) ) )
!= ( less_than @ n0 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[134,34]) ).
thf(636,plain,
less_than @ n0 @ ( fp31 @ ( fp32 @ ( fp32 @ b ) ) ),
inference(pattern_uni,[status(thm)],[635:[bind(A,$thf( fp32 @ ( fp32 @ b ) ))]]) ).
thf(1118,plain,
! [A: $i] :
( ( ( fp32 @ A )
!= n0 )
| ( ( less_than @ n0 @ ( fp31 @ ( fp32 @ ( fp32 @ b ) ) ) )
!= ( less_than @ n0 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[636,132]) ).
thf(1119,plain,
( ( fp32 @ ( fp31 @ ( fp32 @ ( fp32 @ b ) ) ) )
!= n0 ),
inference(pattern_uni,[status(thm)],[1118:[bind(A,$thf( fp31 @ ( fp32 @ ( fp32 @ b ) ) ))]]) ).
thf(8,axiom,
! [A: $i] :
( ( add @ A @ n0 )
= A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_identity) ).
thf(35,plain,
! [A: $i] :
( ( add @ A @ n0 )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(36,plain,
! [A: $i] :
( ( add @ A @ n0 )
= A ),
inference(lifteq,[status(thm)],[35]) ).
thf(334,plain,
! [A: $i] :
( ( less_than @ ( absolute @ A ) @ b )
| ( ( add @ A @ n0 )
!= ( add @ ( fp33 @ b ) @ ( minus @ a ) ) ) ),
inference(paramod_ordered,[status(thm)],[36,271]) ).
thf(338,plain,
! [A: $i] :
( ( less_than @ ( absolute @ A ) @ b )
| ( A
!= ( fp33 @ b ) )
| ( ( minus @ a )
!= n0 ) ),
inference(simp,[status(thm)],[334]) ).
thf(349,plain,
( ( less_than @ ( absolute @ ( fp33 @ b ) ) @ b )
| ( ( minus @ a )
!= n0 ) ),
inference(simp,[status(thm)],[338]) ).
thf(7,negated_conjecture,
! [A: $i] :
( ~ ( less_than @ n0 @ A )
| ~ ( less_than @ ( add @ ( absolute @ ( add @ ( f @ ( fp33 @ A ) ) @ ( minus @ l1 ) ) ) @ ( absolute @ ( add @ ( g @ ( fp33 @ A ) ) @ ( minus @ l2 ) ) ) ) @ b ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_16) ).
thf(26,plain,
! [A: $i] :
( ~ ( less_than @ n0 @ A )
| ~ ( less_than @ ( add @ ( absolute @ ( add @ ( f @ ( fp33 @ A ) ) @ ( minus @ l1 ) ) ) @ ( absolute @ ( add @ ( g @ ( fp33 @ A ) ) @ ( minus @ l2 ) ) ) ) @ b ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(33,plain,
! [A: $i] :
( ~ ( less_than @ n0 @ A )
| ~ ( less_than @ ( add @ ( absolute @ ( add @ ( f @ ( fp33 @ A ) ) @ ( minus @ l1 ) ) ) @ ( absolute @ ( add @ ( g @ ( fp33 @ A ) ) @ ( minus @ l2 ) ) ) ) @ b ) ),
inference(cnf,[status(esa)],[26]) ).
thf(357,plain,
! [A: $i] :
( ( ( absolute @ A )
!= b )
| ( ( add @ n0 @ A )
!= ( add @ ( fp33 @ b ) @ ( minus @ a ) ) ) ),
inference(paramod_ordered,[status(thm)],[38,353]) ).
thf(359,plain,
! [A: $i] :
( ( ( absolute @ A )
!= b )
| ( ( fp33 @ b )
!= n0 )
| ( A
!= ( minus @ a ) ) ),
inference(simp,[status(thm)],[357]) ).
thf(361,plain,
( ( ( absolute @ ( minus @ a ) )
!= b )
| ( ( fp33 @ b )
!= n0 ) ),
inference(simp,[status(thm)],[359]) ).
thf(63,plain,
! [A: $i] :
( ( less_than @ n0 @ b )
!= ( less_than @ A @ A ) ),
inference(paramod_ordered,[status(thm)],[22,40]) ).
thf(64,plain,
! [A: $i] :
( ( n0 != A )
| ( b != A ) ),
inference(simp,[status(thm)],[63]) ).
thf(65,plain,
b != n0,
inference(simp,[status(thm)],[64]) ).
thf(898,plain,
! [A: $i] :
( ( less_than @ n0 @ ( fp31 @ A ) )
| ( ( less_than @ n0 @ ( fp32 @ ( fp31 @ b ) ) )
!= ( less_than @ n0 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[833,34]) ).
thf(899,plain,
less_than @ n0 @ ( fp31 @ ( fp32 @ ( fp31 @ b ) ) ),
inference(pattern_uni,[status(thm)],[898:[bind(A,$thf( fp32 @ ( fp31 @ b ) ))]]) ).
thf(1463,plain,
! [A: $i] :
( ( less_than @ n0 @ ( fp31 @ ( fp32 @ ( fp31 @ b ) ) ) )
!= ( less_than @ A @ A ) ),
inference(paramod_ordered,[status(thm)],[899,40]) ).
thf(1494,plain,
! [A: $i] :
( ( n0 != A )
| ( ( fp31 @ ( fp32 @ ( fp31 @ b ) ) )
!= A ) ),
inference(simp,[status(thm)],[1463]) ).
thf(1498,plain,
( ( fp31 @ ( fp32 @ ( fp31 @ b ) ) )
!= n0 ),
inference(simp,[status(thm)],[1494]) ).
thf(17,axiom,
! [C: $i,B: $i,A: $i] :
( ( add @ ( add @ A @ B ) @ C )
= ( add @ A @ ( add @ B @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
thf(53,plain,
! [C: $i,B: $i,A: $i] :
( ( add @ ( add @ A @ B ) @ C )
= ( add @ A @ ( add @ B @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(224,plain,
! [A: $i] :
( ( ( fp32 @ A )
!= n0 )
| ( ( less_than @ n0 @ ( fp32 @ ( fp32 @ ( fp32 @ b ) ) ) )
!= ( less_than @ n0 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[196,132]) ).
thf(225,plain,
( ( fp32 @ ( fp32 @ ( fp32 @ ( fp32 @ b ) ) ) )
!= n0 ),
inference(pattern_uni,[status(thm)],[224:[bind(A,$thf( fp32 @ ( fp32 @ ( fp32 @ b ) ) ))]]) ).
thf(211,plain,
! [A: $i] :
( ( less_than @ n0 @ ( fp32 @ A ) )
| ( ( less_than @ n0 @ ( fp32 @ ( fp32 @ ( fp32 @ b ) ) ) )
!= ( less_than @ n0 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[196,32]) ).
thf(212,plain,
less_than @ n0 @ ( fp32 @ ( fp32 @ ( fp32 @ ( fp32 @ b ) ) ) ),
inference(pattern_uni,[status(thm)],[211:[bind(A,$thf( fp32 @ ( fp32 @ ( fp32 @ b ) ) ))]]) ).
thf(243,plain,
! [A: $i] :
( ( less_than @ n0 @ ( fp32 @ A ) )
| ( ( less_than @ n0 @ ( fp32 @ ( fp32 @ ( fp32 @ ( fp32 @ b ) ) ) ) )
!= ( less_than @ n0 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[212,32]) ).
thf(244,plain,
less_than @ n0 @ ( fp32 @ ( fp32 @ ( fp32 @ ( fp32 @ ( fp32 @ b ) ) ) ) ),
inference(pattern_uni,[status(thm)],[243:[bind(A,$thf( fp32 @ ( fp32 @ ( fp32 @ ( fp32 @ b ) ) ) ))]]) ).
thf(310,plain,
! [A: $i] :
( ( less_than @ n0 @ ( fp32 @ A ) )
| ( ( less_than @ n0 @ ( fp32 @ ( fp32 @ ( fp32 @ ( fp32 @ ( fp32 @ b ) ) ) ) ) )
!= ( less_than @ n0 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[244,32]) ).
thf(311,plain,
less_than @ n0 @ ( fp32 @ ( fp32 @ ( fp32 @ ( fp32 @ ( fp32 @ ( fp32 @ b ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[310:[bind(A,$thf( fp32 @ ( fp32 @ ( fp32 @ ( fp32 @ ( fp32 @ b ) ) ) ) ))]]) ).
thf(12,axiom,
! [B: $i,A: $i] :
( ~ ( less_than @ n0 @ A )
| ~ ( less_than @ n0 @ B )
| ( less_than @ n0 @ ( minimum @ A @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2_1) ).
thf(43,plain,
! [B: $i,A: $i] :
( ~ ( less_than @ n0 @ A )
| ~ ( less_than @ n0 @ B )
| ( less_than @ n0 @ ( minimum @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(44,plain,
! [B: $i,A: $i] :
( ~ ( less_than @ n0 @ A )
| ~ ( less_than @ n0 @ B )
| ( less_than @ n0 @ ( minimum @ A @ B ) ) ),
inference(cnf,[status(esa)],[43]) ).
thf(20,axiom,
! [A: $i] :
( ~ ( less_than @ n0 @ A )
| ( less_than @ n0 @ ( half @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
thf(59,plain,
! [A: $i] :
( ~ ( less_than @ n0 @ A )
| ( less_than @ n0 @ ( half @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(866,plain,
! [A: $i] :
( ( less_than @ n0 @ ( fp31 @ A ) )
| ( ( less_than @ n0 @ ( fp31 @ ( fp32 @ b ) ) )
!= ( less_than @ n0 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[628,34]) ).
thf(867,plain,
less_than @ n0 @ ( fp31 @ ( fp31 @ ( fp32 @ b ) ) ),
inference(pattern_uni,[status(thm)],[866:[bind(A,$thf( fp31 @ ( fp32 @ b ) ))]]) ).
thf(1193,plain,
! [A: $i] :
( ( ( fp32 @ A )
!= n0 )
| ( ( less_than @ n0 @ ( fp31 @ ( fp31 @ ( fp32 @ b ) ) ) )
!= ( less_than @ n0 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[867,132]) ).
thf(1194,plain,
( ( fp32 @ ( fp31 @ ( fp31 @ ( fp32 @ b ) ) ) )
!= n0 ),
inference(pattern_uni,[status(thm)],[1193:[bind(A,$thf( fp31 @ ( fp31 @ ( fp32 @ b ) ) ))]]) ).
thf(358,plain,
! [A: $i] :
( ( ( absolute @ A )
!= b )
| ( ( add @ A @ n0 )
!= ( add @ ( fp33 @ b ) @ ( minus @ a ) ) ) ),
inference(paramod_ordered,[status(thm)],[36,353]) ).
thf(360,plain,
! [A: $i] :
( ( ( absolute @ A )
!= b )
| ( A
!= ( fp33 @ b ) )
| ( ( minus @ a )
!= n0 ) ),
inference(simp,[status(thm)],[358]) ).
thf(362,plain,
( ( ( absolute @ ( fp33 @ b ) )
!= b )
| ( ( minus @ a )
!= n0 ) ),
inference(simp,[status(thm)],[360]) ).
thf(860,plain,
! [A: $i] :
( ( less_than @ n0 @ ( fp31 @ ( fp32 @ b ) ) )
!= ( less_than @ A @ A ) ),
inference(paramod_ordered,[status(thm)],[628,40]) ).
thf(877,plain,
! [A: $i] :
( ( n0 != A )
| ( ( fp31 @ ( fp32 @ b ) )
!= A ) ),
inference(simp,[status(thm)],[860]) ).
thf(880,plain,
( ( fp31 @ ( fp32 @ b ) )
!= n0 ),
inference(simp,[status(thm)],[877]) ).
thf(366,plain,
! [A: $i] :
( ( ( fp32 @ A )
!= n0 )
| ( ( less_than @ n0 @ ( fp32 @ ( fp32 @ ( fp32 @ ( fp32 @ ( fp32 @ ( fp32 @ b ) ) ) ) ) ) )
!= ( less_than @ n0 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[311,132]) ).
thf(367,plain,
( ( fp32 @ ( fp32 @ ( fp32 @ ( fp32 @ ( fp32 @ ( fp32 @ ( fp32 @ b ) ) ) ) ) ) )
!= n0 ),
inference(pattern_uni,[status(thm)],[366:[bind(A,$thf( fp32 @ ( fp32 @ ( fp32 @ ( fp32 @ ( fp32 @ ( fp32 @ b ) ) ) ) ) ))]]) ).
thf(828,plain,
! [A: $i] :
( ( less_than @ n0 @ ( fp31 @ b ) )
!= ( less_than @ A @ A ) ),
inference(paramod_ordered,[status(thm)],[622,40]) ).
thf(844,plain,
! [A: $i] :
( ( n0 != A )
| ( ( fp31 @ b )
!= A ) ),
inference(simp,[status(thm)],[828]) ).
thf(848,plain,
( ( fp31 @ b )
!= n0 ),
inference(simp,[status(thm)],[844]) ).
thf(1555,plain,
! [A: $i] :
( ( ( fp32 @ A )
!= n0 )
| ( ( less_than @ n0 @ ( fp31 @ ( fp31 @ ( fp31 @ b ) ) ) )
!= ( less_than @ n0 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[931,132]) ).
thf(1556,plain,
( ( fp32 @ ( fp31 @ ( fp31 @ ( fp31 @ b ) ) ) )
!= n0 ),
inference(pattern_uni,[status(thm)],[1555:[bind(A,$thf( fp31 @ ( fp31 @ ( fp31 @ b ) ) ))]]) ).
thf(826,plain,
! [A: $i] :
( ( ( fp32 @ A )
!= n0 )
| ( ( less_than @ n0 @ ( fp31 @ b ) )
!= ( less_than @ n0 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[622,132]) ).
thf(827,plain,
( ( fp32 @ ( fp31 @ b ) )
!= n0 ),
inference(pattern_uni,[status(thm)],[826:[bind(A,$thf( fp31 @ b ))]]) ).
thf(214,plain,
! [A: $i] :
( ( less_than @ n0 @ ( fp32 @ ( fp32 @ ( fp32 @ b ) ) ) )
!= ( less_than @ A @ A ) ),
inference(paramod_ordered,[status(thm)],[196,40]) ).
thf(220,plain,
! [A: $i] :
( ( n0 != A )
| ( ( fp32 @ ( fp32 @ ( fp32 @ b ) ) )
!= A ) ),
inference(simp,[status(thm)],[214]) ).
thf(223,plain,
( ( fp32 @ ( fp32 @ ( fp32 @ b ) ) )
!= n0 ),
inference(simp,[status(thm)],[220]) ).
thf(924,plain,
! [A: $i] :
( ( less_than @ n0 @ ( fp31 @ ( fp31 @ b ) ) )
!= ( less_than @ A @ A ) ),
inference(paramod_ordered,[status(thm)],[835,40]) ).
thf(940,plain,
! [A: $i] :
( ( n0 != A )
| ( ( fp31 @ ( fp31 @ b ) )
!= A ) ),
inference(simp,[status(thm)],[924]) ).
thf(944,plain,
( ( fp31 @ ( fp31 @ b ) )
!= n0 ),
inference(simp,[status(thm)],[940]) ).
thf(1471,plain,
! [A: $i] :
( ( ( fp32 @ A )
!= n0 )
| ( ( less_than @ n0 @ ( fp31 @ ( fp32 @ ( fp31 @ b ) ) ) )
!= ( less_than @ n0 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[899,132]) ).
thf(1472,plain,
( ( fp32 @ ( fp31 @ ( fp32 @ ( fp31 @ b ) ) ) )
!= n0 ),
inference(pattern_uni,[status(thm)],[1471:[bind(A,$thf( fp31 @ ( fp32 @ ( fp31 @ b ) ) ))]]) ).
thf(1120,plain,
! [A: $i] :
( ( less_than @ n0 @ ( fp31 @ ( fp32 @ ( fp32 @ b ) ) ) )
!= ( less_than @ A @ A ) ),
inference(paramod_ordered,[status(thm)],[636,40]) ).
thf(1142,plain,
! [A: $i] :
( ( n0 != A )
| ( ( fp31 @ ( fp32 @ ( fp32 @ b ) ) )
!= A ) ),
inference(simp,[status(thm)],[1120]) ).
thf(1145,plain,
( ( fp31 @ ( fp32 @ ( fp32 @ b ) ) )
!= n0 ),
inference(simp,[status(thm)],[1142]) ).
thf(331,plain,
! [A: $i] :
( ( less_than @ ( absolute @ A ) @ b )
| ( ( add @ n0 @ A )
!= ( add @ ( fp33 @ b ) @ ( minus @ a ) ) ) ),
inference(paramod_ordered,[status(thm)],[38,271]) ).
thf(344,plain,
! [A: $i] :
( ( less_than @ ( absolute @ A ) @ b )
| ( ( fp33 @ b )
!= n0 )
| ( A
!= ( minus @ a ) ) ),
inference(simp,[status(thm)],[331]) ).
thf(355,plain,
( ( less_than @ ( absolute @ ( minus @ a ) ) @ b )
| ( ( fp33 @ b )
!= n0 ) ),
inference(simp,[status(thm)],[344]) ).
thf(14,axiom,
! [B: $i,A: $i] :
( ~ ( less_than @ n0 @ A )
| ~ ( less_than @ n0 @ B )
| ( less_than @ ( minimum @ A @ B ) @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2_3) ).
thf(47,plain,
! [B: $i,A: $i] :
( ~ ( less_than @ n0 @ A )
| ~ ( less_than @ n0 @ B )
| ( less_than @ ( minimum @ A @ B ) @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(48,plain,
! [B: $i,A: $i] :
( ~ ( less_than @ n0 @ A )
| ~ ( less_than @ n0 @ B )
| ( less_than @ ( minimum @ A @ B ) @ B ) ),
inference(cnf,[status(esa)],[47]) ).
thf(66,plain,
! [A: $i] :
( ~ ( less_than @ ( add @ ( absolute @ ( add @ ( f @ ( fp33 @ A ) ) @ ( minus @ l1 ) ) ) @ ( absolute @ ( add @ ( g @ ( fp33 @ A ) ) @ ( minus @ l2 ) ) ) ) @ b )
| ( ( less_than @ n0 @ b )
!= ( less_than @ n0 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[22,33]) ).
thf(67,plain,
~ ( less_than @ ( add @ ( absolute @ ( add @ ( f @ ( fp33 @ b ) ) @ ( minus @ l1 ) ) ) @ ( absolute @ ( add @ ( g @ ( fp33 @ b ) ) @ ( minus @ l2 ) ) ) ) @ b ),
inference(pattern_uni,[status(thm)],[66:[bind(A,$thf( b ))]]) ).
thf(31,plain,
! [B: $i,A: $i] :
( ~ ( less_than @ n0 @ A )
| ~ ( less_than @ ( absolute @ ( add @ B @ ( minus @ a ) ) ) @ ( fp31 @ A ) )
| ( less_than @ ( absolute @ ( add @ ( f @ B ) @ ( minus @ l1 ) ) ) @ A ) ),
inference(cnf,[status(esa)],[25]) ).
thf(1192,plain,
! [A: $i] :
( ( less_than @ n0 @ ( fp31 @ ( fp31 @ ( fp32 @ b ) ) ) )
!= ( less_than @ A @ A ) ),
inference(paramod_ordered,[status(thm)],[867,40]) ).
thf(1213,plain,
! [A: $i] :
( ( n0 != A )
| ( ( fp31 @ ( fp31 @ ( fp32 @ b ) ) )
!= A ) ),
inference(simp,[status(thm)],[1192]) ).
thf(1221,plain,
( ( fp31 @ ( fp31 @ ( fp32 @ b ) ) )
!= n0 ),
inference(simp,[status(thm)],[1213]) ).
thf(858,plain,
! [A: $i] :
( ( ( fp32 @ A )
!= n0 )
| ( ( less_than @ n0 @ ( fp31 @ ( fp32 @ b ) ) )
!= ( less_than @ n0 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[628,132]) ).
thf(859,plain,
( ( fp32 @ ( fp31 @ ( fp32 @ b ) ) )
!= n0 ),
inference(pattern_uni,[status(thm)],[858:[bind(A,$thf( fp31 @ ( fp32 @ b ) ))]]) ).
thf(136,plain,
! [A: $i] :
( ( less_than @ n0 @ ( fp32 @ b ) )
!= ( less_than @ A @ A ) ),
inference(paramod_ordered,[status(thm)],[121,40]) ).
thf(142,plain,
! [A: $i] :
( ( n0 != A )
| ( ( fp32 @ b )
!= A ) ),
inference(simp,[status(thm)],[136]) ).
thf(143,plain,
( ( fp32 @ b )
!= n0 ),
inference(simp,[status(thm)],[142]) ).
thf(552,plain,
! [A: $i] :
( ( ( absolute @ A )
!= ( fp32 @ b ) )
| ( ( add @ A @ n0 )
!= ( add @ ( fp33 @ ( fp32 @ b ) ) @ ( minus @ a ) ) ) ),
inference(paramod_ordered,[status(thm)],[36,548]) ).
thf(554,plain,
! [A: $i] :
( ( ( absolute @ A )
!= ( fp32 @ b ) )
| ( A
!= ( fp33 @ ( fp32 @ b ) ) )
| ( ( minus @ a )
!= n0 ) ),
inference(simp,[status(thm)],[552]) ).
thf(556,plain,
( ( ( absolute @ ( fp33 @ ( fp32 @ b ) ) )
!= ( fp32 @ b ) )
| ( ( minus @ a )
!= n0 ) ),
inference(simp,[status(thm)],[554]) ).
thf(864,plain,
! [A: $i] :
( ( less_than @ n0 @ ( fp32 @ A ) )
| ( ( less_than @ n0 @ ( fp31 @ ( fp32 @ b ) ) )
!= ( less_than @ n0 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[628,32]) ).
thf(865,plain,
less_than @ n0 @ ( fp32 @ ( fp31 @ ( fp32 @ b ) ) ),
inference(pattern_uni,[status(thm)],[864:[bind(A,$thf( fp31 @ ( fp32 @ b ) ))]]) ).
thf(1156,plain,
! [A: $i] :
( ( ( fp32 @ A )
!= n0 )
| ( ( less_than @ n0 @ ( fp32 @ ( fp31 @ ( fp32 @ b ) ) ) )
!= ( less_than @ n0 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[865,132]) ).
thf(1157,plain,
( ( fp32 @ ( fp32 @ ( fp31 @ ( fp32 @ b ) ) ) )
!= n0 ),
inference(pattern_uni,[status(thm)],[1156:[bind(A,$thf( fp32 @ ( fp31 @ ( fp32 @ b ) ) ))]]) ).
thf(890,plain,
! [A: $i] :
( ( ( fp32 @ A )
!= n0 )
| ( ( less_than @ n0 @ ( fp32 @ ( fp31 @ b ) ) )
!= ( less_than @ n0 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[833,132]) ).
thf(891,plain,
( ( fp32 @ ( fp32 @ ( fp31 @ b ) ) )
!= n0 ),
inference(pattern_uni,[status(thm)],[890:[bind(A,$thf( fp32 @ ( fp31 @ b ) ))]]) ).
thf(18,axiom,
! [B: $i,A: $i] :
( ( add @ A @ B )
= ( add @ B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6_1) ).
thf(55,plain,
! [B: $i,A: $i] :
( ( add @ A @ B )
= ( add @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(198,plain,
! [A: $i] :
( ( less_than @ n0 @ ( fp32 @ ( fp32 @ b ) ) )
!= ( less_than @ A @ A ) ),
inference(paramod_ordered,[status(thm)],[134,40]) ).
thf(204,plain,
! [A: $i] :
( ( n0 != A )
| ( ( fp32 @ ( fp32 @ b ) )
!= A ) ),
inference(simp,[status(thm)],[198]) ).
thf(207,plain,
( ( fp32 @ ( fp32 @ b ) )
!= n0 ),
inference(simp,[status(thm)],[204]) ).
thf(16,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( less_than @ ( add @ ( absolute @ A ) @ ( absolute @ B ) ) @ C )
| ( less_than @ ( absolute @ ( add @ A @ B ) ) @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_17) ).
thf(51,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( less_than @ ( add @ ( absolute @ A ) @ ( absolute @ B ) ) @ C )
| ( less_than @ ( absolute @ ( add @ A @ B ) ) @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(241,plain,
! [A: $i] :
( ( ( fp32 @ A )
!= n0 )
| ( ( less_than @ n0 @ ( fp32 @ ( fp32 @ ( fp32 @ ( fp32 @ b ) ) ) ) )
!= ( less_than @ n0 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[212,132]) ).
thf(242,plain,
( ( fp32 @ ( fp32 @ ( fp32 @ ( fp32 @ ( fp32 @ b ) ) ) ) )
!= n0 ),
inference(pattern_uni,[status(thm)],[241:[bind(A,$thf( fp32 @ ( fp32 @ ( fp32 @ ( fp32 @ b ) ) ) ))]]) ).
thf(368,plain,
! [A: $i] :
( ( less_than @ n0 @ ( fp32 @ A ) )
| ( ( less_than @ n0 @ ( fp32 @ ( fp32 @ ( fp32 @ ( fp32 @ ( fp32 @ ( fp32 @ b ) ) ) ) ) ) )
!= ( less_than @ n0 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[311,32]) ).
thf(369,plain,
less_than @ n0 @ ( fp32 @ ( fp32 @ ( fp32 @ ( fp32 @ ( fp32 @ ( fp32 @ ( fp32 @ b ) ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[368:[bind(A,$thf( fp32 @ ( fp32 @ ( fp32 @ ( fp32 @ ( fp32 @ ( fp32 @ b ) ) ) ) ) ))]]) ).
thf(922,plain,
! [A: $i] :
( ( ( fp32 @ A )
!= n0 )
| ( ( less_than @ n0 @ ( fp31 @ ( fp31 @ b ) ) )
!= ( less_than @ n0 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[835,132]) ).
thf(923,plain,
( ( fp32 @ ( fp31 @ ( fp31 @ b ) ) )
!= n0 ),
inference(pattern_uni,[status(thm)],[922:[bind(A,$thf( fp31 @ ( fp31 @ b ) ))]]) ).
thf(308,plain,
! [A: $i] :
( ( ( fp32 @ A )
!= n0 )
| ( ( less_than @ n0 @ ( fp32 @ ( fp32 @ ( fp32 @ ( fp32 @ ( fp32 @ b ) ) ) ) ) )
!= ( less_than @ n0 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[244,132]) ).
thf(309,plain,
( ( fp32 @ ( fp32 @ ( fp32 @ ( fp32 @ ( fp32 @ ( fp32 @ b ) ) ) ) ) )
!= n0 ),
inference(pattern_uni,[status(thm)],[308:[bind(A,$thf( fp32 @ ( fp32 @ ( fp32 @ ( fp32 @ ( fp32 @ b ) ) ) ) ))]]) ).
thf(41646,plain,
$false,
inference(e,[status(thm)],[49,628,555,42,24,37,25,1430,196,1514,46,57,29,121,1581,353,61,1119,132,349,33,28,38,361,65,1498,53,225,212,622,41,134,244,311,45,32,34,22,44,59,27,1194,362,271,880,39,367,848,1556,827,636,223,35,944,548,1472,1145,355,48,263,67,31,1221,859,143,43,556,931,1157,891,40,26,55,23,207,929,899,835,30,51,867,865,833,36,242,897,47,369,923,309]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ANA003-1 : TPTP v8.2.0. Released v1.0.0.
% 0.07/0.15 % Command : run_Leo-III %s %d
% 0.15/0.36 % Computer : n017.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Mon May 20 07:47:24 EDT 2024
% 0.15/0.36 % CPUTime :
% 1.02/0.91 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.26/1.04 % [INFO] Parsing done (128ms).
% 1.26/1.05 % [INFO] Running in sequential loop mode.
% 1.77/1.28 % [INFO] eprover registered as external prover.
% 1.77/1.28 % [INFO] cvc4 registered as external prover.
% 1.77/1.28 % [INFO] Scanning for conjecture ...
% 2.00/1.35 % [INFO] Found a conjecture (or negated_conjecture) and 14 axioms. Running axiom selection ...
% 2.13/1.39 % [INFO] Axiom selection finished. Selected 14 axioms (removed 0 axioms).
% 2.13/1.40 % [INFO] Problem is propositional (TPTP CNF).
% 2.13/1.40 % [INFO] Type checking passed.
% 2.13/1.41 % [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 ...
% 125.01/22.18 % External prover 'e' found a proof!
% 125.01/22.18 % [INFO] Killing All external provers ...
% 125.01/22.18 % Time passed: 21665ms (effective reasoning time: 21122ms)
% 125.01/22.18 % Axioms used in derivation (14): axiom_7, axiom_2_2, left_identity, axiom_3, right_identity, axiom_6_2, axiom_5, axiom_2_1, c_17, axiom_6_1, axiom_8, transitivity_of_less_than, reflexivity_of_less_than, axiom_2_3
% 125.01/22.18 % No. of inferences in proof: 188
% 125.01/22.18 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 21665 ms resp. 21122 ms w/o parsing
% 125.01/22.25 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 125.01/22.25 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------