TSTP Solution File: ANA003-1 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : ANA003-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n008.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 : 600s
% DateTime : Thu Jul 14 19:10:16 EDT 2022
% Result : Unsatisfiable 35.43s 35.67s
% Output : CNFRefutation 35.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 38
% Syntax : Number of formulae : 173 ( 93 unt; 16 typ; 0 def)
% Number of atoms : 742 ( 222 equ; 0 cnn)
% Maximal formula atoms : 3 ( 4 avg)
% Number of connectives : 1606 ( 158 ~; 189 |; 0 &;1259 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 14 ( 14 >; 0 *; 0 +; 0 <<)
% Number of symbols : 19 ( 16 usr; 7 con; 0-2 aty)
% Number of variables : 278 ( 0 ^ 278 !; 0 ?; 278 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a,type,
a: $i ).
thf(tp_absolute,type,
absolute: $i > $i ).
thf(tp_add,type,
add: $i > $i > $i ).
thf(tp_b,type,
b: $i ).
thf(tp_f,type,
f: $i > $i ).
thf(tp_fp31,type,
fp31: $i > $i ).
thf(tp_fp32,type,
fp32: $i > $i ).
thf(tp_fp33,type,
fp33: $i > $i ).
thf(tp_g,type,
g: $i > $i ).
thf(tp_half,type,
half: $i > $i ).
thf(tp_l1,type,
l1: $i ).
thf(tp_l2,type,
l2: $i ).
thf(tp_less_than,type,
less_than: $i > $i > $o ).
thf(tp_minimum,type,
minimum: $i > $i > $i ).
thf(tp_minus,type,
minus: $i > $i ).
thf(tp_n0,type,
n0: $i ).
thf(1,axiom,
! [X: $i,Y: $i] :
( ( minus @ ( add @ X @ Y ) )
= ( add @ ( minus @ X ) @ ( minus @ Y ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).
thf(2,axiom,
! [Xa: $i] :
( ~ ( less_than @ n0 @ Xa )
| ( less_than @ n0 @ ( half @ Xa ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
thf(3,axiom,
! [Xa: $i] :
( ~ ( less_than @ n0 @ Xa )
| ( less_than @ n0 @ ( half @ Xa ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6_2) ).
thf(4,axiom,
! [X: $i,Y: $i] :
( ( add @ X @ Y )
= ( add @ Y @ X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6_1) ).
thf(5,axiom,
! [X: $i,Y: $i,Z: $i] :
( ( add @ ( add @ X @ Y ) @ Z )
= ( add @ X @ ( add @ Y @ Z ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
thf(6,axiom,
! [X: $i,Y: $i,Xa: $i] :
( ~ ( less_than @ ( add @ ( absolute @ X ) @ ( absolute @ Y ) ) @ Xa )
| ( less_than @ ( absolute @ ( add @ X @ Y ) ) @ Xa ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_17) ).
thf(7,axiom,
! [X: $i,Xa: $i,Y: $i] :
( ~ ( less_than @ X @ ( half @ Xa ) )
| ~ ( less_than @ Y @ ( half @ Xa ) )
| ( less_than @ ( add @ X @ Y ) @ Xa ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
thf(8,axiom,
! [X: $i,Y: $i] :
( ~ ( less_than @ n0 @ X )
| ~ ( less_than @ n0 @ Y )
| ( less_than @ ( minimum @ X @ Y ) @ Y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2_3) ).
thf(9,axiom,
! [X: $i,Y: $i] :
( ~ ( less_than @ n0 @ X )
| ~ ( less_than @ n0 @ Y )
| ( less_than @ ( minimum @ X @ Y ) @ X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2_2) ).
thf(10,axiom,
! [X: $i,Y: $i] :
( ~ ( less_than @ n0 @ X )
| ~ ( less_than @ n0 @ Y )
| ( less_than @ n0 @ ( minimum @ X @ Y ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2_1) ).
thf(11,axiom,
! [X: $i,Y: $i,Z: $i] :
( ~ ( less_than @ X @ Y )
| ~ ( less_than @ Y @ Z )
| ( less_than @ X @ Z ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_of_less_than) ).
thf(12,axiom,
! [X: $i] :
~ ( less_than @ X @ X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_of_less_than) ).
thf(13,axiom,
! [X: $i] :
( ( add @ n0 @ X )
= X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
thf(14,axiom,
! [X: $i] :
( ( add @ X @ n0 )
= X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_identity) ).
thf(15,conjecture,
$false,
file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).
thf(16,negated_conjecture,
$false = $false,
inference(negate_conjecture,[status(cth)],[15]) ).
thf(17,negated_conjecture,
! [X: $i] :
( ~ ( less_than @ n0 @ X )
| ~ ( less_than @ ( add @ ( absolute @ ( add @ ( f @ ( fp33 @ X ) ) @ ( minus @ l1 ) ) ) @ ( absolute @ ( add @ ( g @ ( fp33 @ X ) ) @ ( minus @ l2 ) ) ) ) @ b ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_16) ).
thf(18,negated_conjecture,
! [X: $i] :
( ~ ( less_than @ n0 @ X )
| ( less_than @ ( absolute @ ( add @ ( fp33 @ X ) @ ( minus @ a ) ) ) @ X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_15) ).
thf(19,negated_conjecture,
less_than @ n0 @ b,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_14) ).
thf(20,negated_conjecture,
! [X: $i,Y: $i] :
( ~ ( less_than @ n0 @ X )
| ~ ( less_than @ ( absolute @ ( add @ Y @ ( minus @ a ) ) ) @ ( fp32 @ X ) )
| ( less_than @ ( absolute @ ( add @ ( g @ Y ) @ ( minus @ l2 ) ) ) @ X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_13) ).
thf(21,negated_conjecture,
! [X: $i] :
( ~ ( less_than @ n0 @ X )
| ( less_than @ n0 @ ( fp32 @ X ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_12) ).
thf(22,negated_conjecture,
! [X: $i,Y: $i] :
( ~ ( less_than @ n0 @ X )
| ~ ( less_than @ ( absolute @ ( add @ Y @ ( minus @ a ) ) ) @ ( fp31 @ X ) )
| ( less_than @ ( absolute @ ( add @ ( f @ Y ) @ ( minus @ l1 ) ) ) @ X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_11) ).
thf(23,negated_conjecture,
! [X: $i] :
( ~ ( less_than @ n0 @ X )
| ( less_than @ n0 @ ( fp31 @ X ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_10) ).
thf(24,plain,
$false = $false,
inference(unfold_def,[status(thm)],[16]) ).
thf(25,plain,
( ( ! [X: $i,Y: $i] :
( ( minus @ ( add @ X @ Y ) )
= ( add @ ( minus @ X ) @ ( minus @ Y ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(26,plain,
( ( ! [Xa: $i] :
( ~ ( less_than @ n0 @ Xa )
| ( less_than @ n0 @ ( half @ Xa ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(27,plain,
( ( ! [Xa: $i] :
( ~ ( less_than @ n0 @ Xa )
| ( less_than @ n0 @ ( half @ Xa ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(28,plain,
( ( ! [X: $i,Y: $i] :
( ( add @ X @ Y )
= ( add @ Y @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(29,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( add @ ( add @ X @ Y ) @ Z )
= ( add @ X @ ( add @ Y @ Z ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(30,plain,
( ( ! [X: $i,Y: $i,Xa: $i] :
( ~ ( less_than @ ( add @ ( absolute @ X ) @ ( absolute @ Y ) ) @ Xa )
| ( less_than @ ( absolute @ ( add @ X @ Y ) ) @ Xa ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(31,plain,
( ( ! [X: $i,Xa: $i,Y: $i] :
( ~ ( less_than @ X @ ( half @ Xa ) )
| ~ ( less_than @ Y @ ( half @ Xa ) )
| ( less_than @ ( add @ X @ Y ) @ Xa ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(32,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( less_than @ n0 @ X )
| ~ ( less_than @ n0 @ Y )
| ( less_than @ ( minimum @ X @ Y ) @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(33,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( less_than @ n0 @ X )
| ~ ( less_than @ n0 @ Y )
| ( less_than @ ( minimum @ X @ Y ) @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(34,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( less_than @ n0 @ X )
| ~ ( less_than @ n0 @ Y )
| ( less_than @ n0 @ ( minimum @ X @ Y ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(35,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ~ ( less_than @ X @ Y )
| ~ ( less_than @ Y @ Z )
| ( less_than @ X @ Z ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(36,plain,
( ( ! [X: $i] :
~ ( less_than @ X @ X ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(37,plain,
( ( ! [X: $i] :
( ( add @ n0 @ X )
= X ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(38,plain,
( ( ! [X: $i] :
( ( add @ X @ n0 )
= X ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(39,plain,
( ( ! [X: $i] :
( ~ ( less_than @ n0 @ X )
| ~ ( less_than @ ( add @ ( absolute @ ( add @ ( f @ ( fp33 @ X ) ) @ ( minus @ l1 ) ) ) @ ( absolute @ ( add @ ( g @ ( fp33 @ X ) ) @ ( minus @ l2 ) ) ) ) @ b ) ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(40,plain,
( ( ! [X: $i] :
( ~ ( less_than @ n0 @ X )
| ( less_than @ ( absolute @ ( add @ ( fp33 @ X ) @ ( minus @ a ) ) ) @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(41,plain,
( ( less_than @ n0 @ b )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(42,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( less_than @ n0 @ X )
| ~ ( less_than @ ( absolute @ ( add @ Y @ ( minus @ a ) ) ) @ ( fp32 @ X ) )
| ( less_than @ ( absolute @ ( add @ ( g @ Y ) @ ( minus @ l2 ) ) ) @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[20]) ).
thf(43,plain,
( ( ! [X: $i] :
( ~ ( less_than @ n0 @ X )
| ( less_than @ n0 @ ( fp32 @ X ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[21]) ).
thf(44,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( less_than @ n0 @ X )
| ~ ( less_than @ ( absolute @ ( add @ Y @ ( minus @ a ) ) ) @ ( fp31 @ X ) )
| ( less_than @ ( absolute @ ( add @ ( f @ Y ) @ ( minus @ l1 ) ) ) @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[22]) ).
thf(45,plain,
( ( ! [X: $i] :
( ~ ( less_than @ n0 @ X )
| ( less_than @ n0 @ ( fp31 @ X ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[23]) ).
thf(46,plain,
( ( ~ $false )
= $true ),
inference(polarity_switch,[status(thm)],[24]) ).
thf(47,plain,
( ( ! [X: $i,Xa: $i] :
( ~ ( less_than @ X @ ( half @ Xa ) )
| ! [Y: $i] :
( ~ ( less_than @ Y @ ( half @ Xa ) )
| ( less_than @ ( add @ X @ Y ) @ Xa ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[31]) ).
thf(48,plain,
( ( ! [X: $i] :
( ~ ( less_than @ n0 @ X )
| ! [Y: $i] :
( ~ ( less_than @ n0 @ Y )
| ( less_than @ ( minimum @ X @ Y ) @ Y ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[32]) ).
thf(49,plain,
( ( ! [X: $i] :
( ~ ( less_than @ n0 @ X )
| ! [Y: $i] :
( ~ ( less_than @ n0 @ Y )
| ( less_than @ ( minimum @ X @ Y ) @ X ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[33]) ).
thf(50,plain,
( ( ! [X: $i] :
( ~ ( less_than @ n0 @ X )
| ! [Y: $i] :
( ~ ( less_than @ n0 @ Y )
| ( less_than @ n0 @ ( minimum @ X @ Y ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[34]) ).
thf(51,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( less_than @ X @ Y )
| ! [Z: $i] :
( ~ ( less_than @ Y @ Z )
| ( less_than @ X @ Z ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[35]) ).
thf(52,plain,
( ( ! [X: $i] :
( ~ ( less_than @ n0 @ X )
| ! [Y: $i] :
( ~ ( less_than @ ( absolute @ ( add @ Y @ ( minus @ a ) ) ) @ ( fp32 @ X ) )
| ( less_than @ ( absolute @ ( add @ ( g @ Y ) @ ( minus @ l2 ) ) ) @ X ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[42]) ).
thf(53,plain,
( ( ! [X: $i] :
( ~ ( less_than @ n0 @ X )
| ! [Y: $i] :
( ~ ( less_than @ ( absolute @ ( add @ Y @ ( minus @ a ) ) ) @ ( fp31 @ X ) )
| ( less_than @ ( absolute @ ( add @ ( f @ Y ) @ ( minus @ l1 ) ) ) @ X ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[44]) ).
thf(54,plain,
( ( ! [X: $i] :
( ~ ( less_than @ n0 @ X )
| ( less_than @ n0 @ ( fp31 @ X ) ) ) )
= $true ),
inference(copy,[status(thm)],[45]) ).
thf(55,plain,
( ( ! [X: $i] :
( ~ ( less_than @ n0 @ X )
| ! [Y: $i] :
( ~ ( less_than @ ( absolute @ ( add @ Y @ ( minus @ a ) ) ) @ ( fp31 @ X ) )
| ( less_than @ ( absolute @ ( add @ ( f @ Y ) @ ( minus @ l1 ) ) ) @ X ) ) ) )
= $true ),
inference(copy,[status(thm)],[53]) ).
thf(56,plain,
( ( ! [X: $i] :
( ~ ( less_than @ n0 @ X )
| ( less_than @ n0 @ ( fp32 @ X ) ) ) )
= $true ),
inference(copy,[status(thm)],[43]) ).
thf(57,plain,
( ( ! [X: $i] :
( ~ ( less_than @ n0 @ X )
| ! [Y: $i] :
( ~ ( less_than @ ( absolute @ ( add @ Y @ ( minus @ a ) ) ) @ ( fp32 @ X ) )
| ( less_than @ ( absolute @ ( add @ ( g @ Y ) @ ( minus @ l2 ) ) ) @ X ) ) ) )
= $true ),
inference(copy,[status(thm)],[52]) ).
thf(58,plain,
( ( less_than @ n0 @ b )
= $true ),
inference(copy,[status(thm)],[41]) ).
thf(59,plain,
( ( ! [X: $i] :
( ~ ( less_than @ n0 @ X )
| ( less_than @ ( absolute @ ( add @ ( fp33 @ X ) @ ( minus @ a ) ) ) @ X ) ) )
= $true ),
inference(copy,[status(thm)],[40]) ).
thf(60,plain,
( ( ! [X: $i] :
( ~ ( less_than @ n0 @ X )
| ~ ( less_than @ ( add @ ( absolute @ ( add @ ( f @ ( fp33 @ X ) ) @ ( minus @ l1 ) ) ) @ ( absolute @ ( add @ ( g @ ( fp33 @ X ) ) @ ( minus @ l2 ) ) ) ) @ b ) ) )
= $true ),
inference(copy,[status(thm)],[39]) ).
thf(61,plain,
( ( ! [X: $i] :
( ( add @ X @ n0 )
= X ) )
= $true ),
inference(copy,[status(thm)],[38]) ).
thf(62,plain,
( ( ! [X: $i] :
( ( add @ n0 @ X )
= X ) )
= $true ),
inference(copy,[status(thm)],[37]) ).
thf(63,plain,
( ( ! [X: $i] :
~ ( less_than @ X @ X ) )
= $true ),
inference(copy,[status(thm)],[36]) ).
thf(64,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( less_than @ X @ Y )
| ! [Z: $i] :
( ~ ( less_than @ Y @ Z )
| ( less_than @ X @ Z ) ) ) )
= $true ),
inference(copy,[status(thm)],[51]) ).
thf(65,plain,
( ( ! [X: $i] :
( ~ ( less_than @ n0 @ X )
| ! [Y: $i] :
( ~ ( less_than @ n0 @ Y )
| ( less_than @ n0 @ ( minimum @ X @ Y ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[50]) ).
thf(66,plain,
( ( ! [X: $i] :
( ~ ( less_than @ n0 @ X )
| ! [Y: $i] :
( ~ ( less_than @ n0 @ Y )
| ( less_than @ ( minimum @ X @ Y ) @ X ) ) ) )
= $true ),
inference(copy,[status(thm)],[49]) ).
thf(67,plain,
( ( ! [X: $i] :
( ~ ( less_than @ n0 @ X )
| ! [Y: $i] :
( ~ ( less_than @ n0 @ Y )
| ( less_than @ ( minimum @ X @ Y ) @ Y ) ) ) )
= $true ),
inference(copy,[status(thm)],[48]) ).
thf(68,plain,
( ( ! [X: $i,Xa: $i] :
( ~ ( less_than @ X @ ( half @ Xa ) )
| ! [Y: $i] :
( ~ ( less_than @ Y @ ( half @ Xa ) )
| ( less_than @ ( add @ X @ Y ) @ Xa ) ) ) )
= $true ),
inference(copy,[status(thm)],[47]) ).
thf(69,plain,
( ( ! [X: $i,Y: $i,Xa: $i] :
( ~ ( less_than @ ( add @ ( absolute @ X ) @ ( absolute @ Y ) ) @ Xa )
| ( less_than @ ( absolute @ ( add @ X @ Y ) ) @ Xa ) ) )
= $true ),
inference(copy,[status(thm)],[30]) ).
thf(70,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( add @ ( add @ X @ Y ) @ Z )
= ( add @ X @ ( add @ Y @ Z ) ) ) )
= $true ),
inference(copy,[status(thm)],[29]) ).
thf(71,plain,
( ( ! [X: $i,Y: $i] :
( ( add @ X @ Y )
= ( add @ Y @ X ) ) )
= $true ),
inference(copy,[status(thm)],[28]) ).
thf(72,plain,
( ( ! [Xa: $i] :
( ~ ( less_than @ n0 @ Xa )
| ( less_than @ n0 @ ( half @ Xa ) ) ) )
= $true ),
inference(copy,[status(thm)],[27]) ).
thf(73,plain,
( ( ! [Xa: $i] :
( ~ ( less_than @ n0 @ Xa )
| ( less_than @ n0 @ ( half @ Xa ) ) ) )
= $true ),
inference(copy,[status(thm)],[26]) ).
thf(74,plain,
( ( ! [X: $i,Y: $i] :
( ( minus @ ( add @ X @ Y ) )
= ( add @ ( minus @ X ) @ ( minus @ Y ) ) ) )
= $true ),
inference(copy,[status(thm)],[25]) ).
thf(75,plain,
( ( ~ $false )
= $true ),
inference(copy,[status(thm)],[46]) ).
thf(76,plain,
! [SV1: $i] :
( ( ~ ( less_than @ n0 @ SV1 )
| ( less_than @ n0 @ ( fp31 @ SV1 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[54]) ).
thf(77,plain,
! [SV2: $i] :
( ( ~ ( less_than @ n0 @ SV2 )
| ! [SY35: $i] :
( ~ ( less_than @ ( absolute @ ( add @ SY35 @ ( minus @ a ) ) ) @ ( fp31 @ SV2 ) )
| ( less_than @ ( absolute @ ( add @ ( f @ SY35 ) @ ( minus @ l1 ) ) ) @ SV2 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[55]) ).
thf(78,plain,
! [SV3: $i] :
( ( ~ ( less_than @ n0 @ SV3 )
| ( less_than @ n0 @ ( fp32 @ SV3 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[56]) ).
thf(79,plain,
! [SV4: $i] :
( ( ~ ( less_than @ n0 @ SV4 )
| ! [SY36: $i] :
( ~ ( less_than @ ( absolute @ ( add @ SY36 @ ( minus @ a ) ) ) @ ( fp32 @ SV4 ) )
| ( less_than @ ( absolute @ ( add @ ( g @ SY36 ) @ ( minus @ l2 ) ) ) @ SV4 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[57]) ).
thf(80,plain,
! [SV5: $i] :
( ( ~ ( less_than @ n0 @ SV5 )
| ( less_than @ ( absolute @ ( add @ ( fp33 @ SV5 ) @ ( minus @ a ) ) ) @ SV5 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[59]) ).
thf(81,plain,
! [SV6: $i] :
( ( ~ ( less_than @ n0 @ SV6 )
| ~ ( less_than @ ( add @ ( absolute @ ( add @ ( f @ ( fp33 @ SV6 ) ) @ ( minus @ l1 ) ) ) @ ( absolute @ ( add @ ( g @ ( fp33 @ SV6 ) ) @ ( minus @ l2 ) ) ) ) @ b ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[60]) ).
thf(82,plain,
! [SV7: $i] :
( ( ( add @ SV7 @ n0 )
= SV7 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[61]) ).
thf(83,plain,
! [SV8: $i] :
( ( ( add @ n0 @ SV8 )
= SV8 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[62]) ).
thf(84,plain,
! [SV9: $i] :
( ( ~ ( less_than @ SV9 @ SV9 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[63]) ).
thf(85,plain,
! [SV10: $i] :
( ( ! [SY37: $i] :
( ~ ( less_than @ SV10 @ SY37 )
| ! [SY38: $i] :
( ~ ( less_than @ SY37 @ SY38 )
| ( less_than @ SV10 @ SY38 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[64]) ).
thf(86,plain,
! [SV11: $i] :
( ( ~ ( less_than @ n0 @ SV11 )
| ! [SY39: $i] :
( ~ ( less_than @ n0 @ SY39 )
| ( less_than @ n0 @ ( minimum @ SV11 @ SY39 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[65]) ).
thf(87,plain,
! [SV12: $i] :
( ( ~ ( less_than @ n0 @ SV12 )
| ! [SY40: $i] :
( ~ ( less_than @ n0 @ SY40 )
| ( less_than @ ( minimum @ SV12 @ SY40 ) @ SV12 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[66]) ).
thf(88,plain,
! [SV13: $i] :
( ( ~ ( less_than @ n0 @ SV13 )
| ! [SY41: $i] :
( ~ ( less_than @ n0 @ SY41 )
| ( less_than @ ( minimum @ SV13 @ SY41 ) @ SY41 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[67]) ).
thf(89,plain,
! [SV14: $i] :
( ( ! [SY42: $i] :
( ~ ( less_than @ SV14 @ ( half @ SY42 ) )
| ! [SY43: $i] :
( ~ ( less_than @ SY43 @ ( half @ SY42 ) )
| ( less_than @ ( add @ SV14 @ SY43 ) @ SY42 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[68]) ).
thf(90,plain,
! [SV15: $i] :
( ( ! [SY44: $i,SY45: $i] :
( ~ ( less_than @ ( add @ ( absolute @ SV15 ) @ ( absolute @ SY44 ) ) @ SY45 )
| ( less_than @ ( absolute @ ( add @ SV15 @ SY44 ) ) @ SY45 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[69]) ).
thf(91,plain,
! [SV16: $i] :
( ( ! [SY46: $i,SY47: $i] :
( ( add @ ( add @ SV16 @ SY46 ) @ SY47 )
= ( add @ SV16 @ ( add @ SY46 @ SY47 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[70]) ).
thf(92,plain,
! [SV17: $i] :
( ( ! [SY48: $i] :
( ( add @ SV17 @ SY48 )
= ( add @ SY48 @ SV17 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[71]) ).
thf(93,plain,
! [SV18: $i] :
( ( ~ ( less_than @ n0 @ SV18 )
| ( less_than @ n0 @ ( half @ SV18 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[72]) ).
thf(94,plain,
! [SV19: $i] :
( ( ~ ( less_than @ n0 @ SV19 )
| ( less_than @ n0 @ ( half @ SV19 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[73]) ).
thf(95,plain,
! [SV20: $i] :
( ( ! [SY49: $i] :
( ( minus @ ( add @ SV20 @ SY49 ) )
= ( add @ ( minus @ SV20 ) @ ( minus @ SY49 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[74]) ).
thf(96,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[75]) ).
thf(97,plain,
! [SV1: $i] :
( ( ( ~ ( less_than @ n0 @ SV1 ) )
= $true )
| ( ( less_than @ n0 @ ( fp31 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[76]) ).
thf(98,plain,
! [SV2: $i] :
( ( ( ~ ( less_than @ n0 @ SV2 ) )
= $true )
| ( ( ! [SY35: $i] :
( ~ ( less_than @ ( absolute @ ( add @ SY35 @ ( minus @ a ) ) ) @ ( fp31 @ SV2 ) )
| ( less_than @ ( absolute @ ( add @ ( f @ SY35 ) @ ( minus @ l1 ) ) ) @ SV2 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[77]) ).
thf(99,plain,
! [SV3: $i] :
( ( ( ~ ( less_than @ n0 @ SV3 ) )
= $true )
| ( ( less_than @ n0 @ ( fp32 @ SV3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[78]) ).
thf(100,plain,
! [SV4: $i] :
( ( ( ~ ( less_than @ n0 @ SV4 ) )
= $true )
| ( ( ! [SY36: $i] :
( ~ ( less_than @ ( absolute @ ( add @ SY36 @ ( minus @ a ) ) ) @ ( fp32 @ SV4 ) )
| ( less_than @ ( absolute @ ( add @ ( g @ SY36 ) @ ( minus @ l2 ) ) ) @ SV4 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[79]) ).
thf(101,plain,
! [SV5: $i] :
( ( ( ~ ( less_than @ n0 @ SV5 ) )
= $true )
| ( ( less_than @ ( absolute @ ( add @ ( fp33 @ SV5 ) @ ( minus @ a ) ) ) @ SV5 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[80]) ).
thf(102,plain,
! [SV6: $i] :
( ( ( ~ ( less_than @ n0 @ SV6 ) )
= $true )
| ( ( ~ ( less_than @ ( add @ ( absolute @ ( add @ ( f @ ( fp33 @ SV6 ) ) @ ( minus @ l1 ) ) ) @ ( absolute @ ( add @ ( g @ ( fp33 @ SV6 ) ) @ ( minus @ l2 ) ) ) ) @ b ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[81]) ).
thf(103,plain,
! [SV9: $i] :
( ( less_than @ SV9 @ SV9 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[84]) ).
thf(104,plain,
! [SV21: $i,SV10: $i] :
( ( ~ ( less_than @ SV10 @ SV21 )
| ! [SY50: $i] :
( ~ ( less_than @ SV21 @ SY50 )
| ( less_than @ SV10 @ SY50 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[85]) ).
thf(105,plain,
! [SV11: $i] :
( ( ( ~ ( less_than @ n0 @ SV11 ) )
= $true )
| ( ( ! [SY39: $i] :
( ~ ( less_than @ n0 @ SY39 )
| ( less_than @ n0 @ ( minimum @ SV11 @ SY39 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[86]) ).
thf(106,plain,
! [SV12: $i] :
( ( ( ~ ( less_than @ n0 @ SV12 ) )
= $true )
| ( ( ! [SY40: $i] :
( ~ ( less_than @ n0 @ SY40 )
| ( less_than @ ( minimum @ SV12 @ SY40 ) @ SV12 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[87]) ).
thf(107,plain,
! [SV13: $i] :
( ( ( ~ ( less_than @ n0 @ SV13 ) )
= $true )
| ( ( ! [SY41: $i] :
( ~ ( less_than @ n0 @ SY41 )
| ( less_than @ ( minimum @ SV13 @ SY41 ) @ SY41 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[88]) ).
thf(108,plain,
! [SV22: $i,SV14: $i] :
( ( ~ ( less_than @ SV14 @ ( half @ SV22 ) )
| ! [SY51: $i] :
( ~ ( less_than @ SY51 @ ( half @ SV22 ) )
| ( less_than @ ( add @ SV14 @ SY51 ) @ SV22 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[89]) ).
thf(109,plain,
! [SV23: $i,SV15: $i] :
( ( ! [SY52: $i] :
( ~ ( less_than @ ( add @ ( absolute @ SV15 ) @ ( absolute @ SV23 ) ) @ SY52 )
| ( less_than @ ( absolute @ ( add @ SV15 @ SV23 ) ) @ SY52 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[90]) ).
thf(110,plain,
! [SV24: $i,SV16: $i] :
( ( ! [SY53: $i] :
( ( add @ ( add @ SV16 @ SV24 ) @ SY53 )
= ( add @ SV16 @ ( add @ SV24 @ SY53 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[91]) ).
thf(111,plain,
! [SV25: $i,SV17: $i] :
( ( ( add @ SV17 @ SV25 )
= ( add @ SV25 @ SV17 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[92]) ).
thf(112,plain,
! [SV18: $i] :
( ( ( ~ ( less_than @ n0 @ SV18 ) )
= $true )
| ( ( less_than @ n0 @ ( half @ SV18 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[93]) ).
thf(113,plain,
! [SV19: $i] :
( ( ( ~ ( less_than @ n0 @ SV19 ) )
= $true )
| ( ( less_than @ n0 @ ( half @ SV19 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[94]) ).
thf(114,plain,
! [SV26: $i,SV20: $i] :
( ( ( minus @ ( add @ SV20 @ SV26 ) )
= ( add @ ( minus @ SV20 ) @ ( minus @ SV26 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[95]) ).
thf(115,plain,
! [SV1: $i] :
( ( ( less_than @ n0 @ SV1 )
= $false )
| ( ( less_than @ n0 @ ( fp31 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[97]) ).
thf(116,plain,
! [SV2: $i] :
( ( ( less_than @ n0 @ SV2 )
= $false )
| ( ( ! [SY35: $i] :
( ~ ( less_than @ ( absolute @ ( add @ SY35 @ ( minus @ a ) ) ) @ ( fp31 @ SV2 ) )
| ( less_than @ ( absolute @ ( add @ ( f @ SY35 ) @ ( minus @ l1 ) ) ) @ SV2 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[98]) ).
thf(117,plain,
! [SV3: $i] :
( ( ( less_than @ n0 @ SV3 )
= $false )
| ( ( less_than @ n0 @ ( fp32 @ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[99]) ).
thf(118,plain,
! [SV4: $i] :
( ( ( less_than @ n0 @ SV4 )
= $false )
| ( ( ! [SY36: $i] :
( ~ ( less_than @ ( absolute @ ( add @ SY36 @ ( minus @ a ) ) ) @ ( fp32 @ SV4 ) )
| ( less_than @ ( absolute @ ( add @ ( g @ SY36 ) @ ( minus @ l2 ) ) ) @ SV4 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[100]) ).
thf(119,plain,
! [SV5: $i] :
( ( ( less_than @ n0 @ SV5 )
= $false )
| ( ( less_than @ ( absolute @ ( add @ ( fp33 @ SV5 ) @ ( minus @ a ) ) ) @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[101]) ).
thf(120,plain,
! [SV6: $i] :
( ( ( less_than @ n0 @ SV6 )
= $false )
| ( ( ~ ( less_than @ ( add @ ( absolute @ ( add @ ( f @ ( fp33 @ SV6 ) ) @ ( minus @ l1 ) ) ) @ ( absolute @ ( add @ ( g @ ( fp33 @ SV6 ) ) @ ( minus @ l2 ) ) ) ) @ b ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[102]) ).
thf(121,plain,
! [SV21: $i,SV10: $i] :
( ( ( ~ ( less_than @ SV10 @ SV21 ) )
= $true )
| ( ( ! [SY50: $i] :
( ~ ( less_than @ SV21 @ SY50 )
| ( less_than @ SV10 @ SY50 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[104]) ).
thf(122,plain,
! [SV11: $i] :
( ( ( less_than @ n0 @ SV11 )
= $false )
| ( ( ! [SY39: $i] :
( ~ ( less_than @ n0 @ SY39 )
| ( less_than @ n0 @ ( minimum @ SV11 @ SY39 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[105]) ).
thf(123,plain,
! [SV12: $i] :
( ( ( less_than @ n0 @ SV12 )
= $false )
| ( ( ! [SY40: $i] :
( ~ ( less_than @ n0 @ SY40 )
| ( less_than @ ( minimum @ SV12 @ SY40 ) @ SV12 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[106]) ).
thf(124,plain,
! [SV13: $i] :
( ( ( less_than @ n0 @ SV13 )
= $false )
| ( ( ! [SY41: $i] :
( ~ ( less_than @ n0 @ SY41 )
| ( less_than @ ( minimum @ SV13 @ SY41 ) @ SY41 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[107]) ).
thf(125,plain,
! [SV22: $i,SV14: $i] :
( ( ( ~ ( less_than @ SV14 @ ( half @ SV22 ) ) )
= $true )
| ( ( ! [SY51: $i] :
( ~ ( less_than @ SY51 @ ( half @ SV22 ) )
| ( less_than @ ( add @ SV14 @ SY51 ) @ SV22 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[108]) ).
thf(126,plain,
! [SV27: $i,SV23: $i,SV15: $i] :
( ( ~ ( less_than @ ( add @ ( absolute @ SV15 ) @ ( absolute @ SV23 ) ) @ SV27 )
| ( less_than @ ( absolute @ ( add @ SV15 @ SV23 ) ) @ SV27 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[109]) ).
thf(127,plain,
! [SV28: $i,SV24: $i,SV16: $i] :
( ( ( add @ ( add @ SV16 @ SV24 ) @ SV28 )
= ( add @ SV16 @ ( add @ SV24 @ SV28 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[110]) ).
thf(128,plain,
! [SV18: $i] :
( ( ( less_than @ n0 @ SV18 )
= $false )
| ( ( less_than @ n0 @ ( half @ SV18 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[112]) ).
thf(129,plain,
! [SV19: $i] :
( ( ( less_than @ n0 @ SV19 )
= $false )
| ( ( less_than @ n0 @ ( half @ SV19 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[113]) ).
thf(130,plain,
! [SV2: $i,SV29: $i] :
( ( ( ~ ( less_than @ ( absolute @ ( add @ SV29 @ ( minus @ a ) ) ) @ ( fp31 @ SV2 ) )
| ( less_than @ ( absolute @ ( add @ ( f @ SV29 ) @ ( minus @ l1 ) ) ) @ SV2 ) )
= $true )
| ( ( less_than @ n0 @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[116]) ).
thf(131,plain,
! [SV4: $i,SV30: $i] :
( ( ( ~ ( less_than @ ( absolute @ ( add @ SV30 @ ( minus @ a ) ) ) @ ( fp32 @ SV4 ) )
| ( less_than @ ( absolute @ ( add @ ( g @ SV30 ) @ ( minus @ l2 ) ) ) @ SV4 ) )
= $true )
| ( ( less_than @ n0 @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[118]) ).
thf(132,plain,
! [SV6: $i] :
( ( ( less_than @ ( add @ ( absolute @ ( add @ ( f @ ( fp33 @ SV6 ) ) @ ( minus @ l1 ) ) ) @ ( absolute @ ( add @ ( g @ ( fp33 @ SV6 ) ) @ ( minus @ l2 ) ) ) ) @ b )
= $false )
| ( ( less_than @ n0 @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[120]) ).
thf(133,plain,
! [SV21: $i,SV10: $i] :
( ( ( less_than @ SV10 @ SV21 )
= $false )
| ( ( ! [SY50: $i] :
( ~ ( less_than @ SV21 @ SY50 )
| ( less_than @ SV10 @ SY50 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[121]) ).
thf(134,plain,
! [SV11: $i,SV31: $i] :
( ( ( ~ ( less_than @ n0 @ SV31 )
| ( less_than @ n0 @ ( minimum @ SV11 @ SV31 ) ) )
= $true )
| ( ( less_than @ n0 @ SV11 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[122]) ).
thf(135,plain,
! [SV12: $i,SV32: $i] :
( ( ( ~ ( less_than @ n0 @ SV32 )
| ( less_than @ ( minimum @ SV12 @ SV32 ) @ SV12 ) )
= $true )
| ( ( less_than @ n0 @ SV12 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[123]) ).
thf(136,plain,
! [SV13: $i,SV33: $i] :
( ( ( ~ ( less_than @ n0 @ SV33 )
| ( less_than @ ( minimum @ SV13 @ SV33 ) @ SV33 ) )
= $true )
| ( ( less_than @ n0 @ SV13 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[124]) ).
thf(137,plain,
! [SV22: $i,SV14: $i] :
( ( ( less_than @ SV14 @ ( half @ SV22 ) )
= $false )
| ( ( ! [SY51: $i] :
( ~ ( less_than @ SY51 @ ( half @ SV22 ) )
| ( less_than @ ( add @ SV14 @ SY51 ) @ SV22 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[125]) ).
thf(138,plain,
! [SV27: $i,SV23: $i,SV15: $i] :
( ( ( ~ ( less_than @ ( add @ ( absolute @ SV15 ) @ ( absolute @ SV23 ) ) @ SV27 ) )
= $true )
| ( ( less_than @ ( absolute @ ( add @ SV15 @ SV23 ) ) @ SV27 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[126]) ).
thf(139,plain,
! [SV2: $i,SV29: $i] :
( ( ( ~ ( less_than @ ( absolute @ ( add @ SV29 @ ( minus @ a ) ) ) @ ( fp31 @ SV2 ) ) )
= $true )
| ( ( less_than @ ( absolute @ ( add @ ( f @ SV29 ) @ ( minus @ l1 ) ) ) @ SV2 )
= $true )
| ( ( less_than @ n0 @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[130]) ).
thf(140,plain,
! [SV4: $i,SV30: $i] :
( ( ( ~ ( less_than @ ( absolute @ ( add @ SV30 @ ( minus @ a ) ) ) @ ( fp32 @ SV4 ) ) )
= $true )
| ( ( less_than @ ( absolute @ ( add @ ( g @ SV30 ) @ ( minus @ l2 ) ) ) @ SV4 )
= $true )
| ( ( less_than @ n0 @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[131]) ).
thf(141,plain,
! [SV10: $i,SV34: $i,SV21: $i] :
( ( ( ~ ( less_than @ SV21 @ SV34 )
| ( less_than @ SV10 @ SV34 ) )
= $true )
| ( ( less_than @ SV10 @ SV21 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[133]) ).
thf(142,plain,
! [SV11: $i,SV31: $i] :
( ( ( ~ ( less_than @ n0 @ SV31 ) )
= $true )
| ( ( less_than @ n0 @ ( minimum @ SV11 @ SV31 ) )
= $true )
| ( ( less_than @ n0 @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[134]) ).
thf(143,plain,
! [SV12: $i,SV32: $i] :
( ( ( ~ ( less_than @ n0 @ SV32 ) )
= $true )
| ( ( less_than @ ( minimum @ SV12 @ SV32 ) @ SV12 )
= $true )
| ( ( less_than @ n0 @ SV12 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[135]) ).
thf(144,plain,
! [SV13: $i,SV33: $i] :
( ( ( ~ ( less_than @ n0 @ SV33 ) )
= $true )
| ( ( less_than @ ( minimum @ SV13 @ SV33 ) @ SV33 )
= $true )
| ( ( less_than @ n0 @ SV13 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[136]) ).
thf(145,plain,
! [SV14: $i,SV22: $i,SV35: $i] :
( ( ( ~ ( less_than @ SV35 @ ( half @ SV22 ) )
| ( less_than @ ( add @ SV14 @ SV35 ) @ SV22 ) )
= $true )
| ( ( less_than @ SV14 @ ( half @ SV22 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[137]) ).
thf(146,plain,
! [SV27: $i,SV23: $i,SV15: $i] :
( ( ( less_than @ ( add @ ( absolute @ SV15 ) @ ( absolute @ SV23 ) ) @ SV27 )
= $false )
| ( ( less_than @ ( absolute @ ( add @ SV15 @ SV23 ) ) @ SV27 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[138]) ).
thf(147,plain,
! [SV2: $i,SV29: $i] :
( ( ( less_than @ ( absolute @ ( add @ SV29 @ ( minus @ a ) ) ) @ ( fp31 @ SV2 ) )
= $false )
| ( ( less_than @ ( absolute @ ( add @ ( f @ SV29 ) @ ( minus @ l1 ) ) ) @ SV2 )
= $true )
| ( ( less_than @ n0 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[139]) ).
thf(148,plain,
! [SV4: $i,SV30: $i] :
( ( ( less_than @ ( absolute @ ( add @ SV30 @ ( minus @ a ) ) ) @ ( fp32 @ SV4 ) )
= $false )
| ( ( less_than @ ( absolute @ ( add @ ( g @ SV30 ) @ ( minus @ l2 ) ) ) @ SV4 )
= $true )
| ( ( less_than @ n0 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[140]) ).
thf(149,plain,
! [SV10: $i,SV34: $i,SV21: $i] :
( ( ( ~ ( less_than @ SV21 @ SV34 ) )
= $true )
| ( ( less_than @ SV10 @ SV34 )
= $true )
| ( ( less_than @ SV10 @ SV21 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[141]) ).
thf(150,plain,
! [SV11: $i,SV31: $i] :
( ( ( less_than @ n0 @ SV31 )
= $false )
| ( ( less_than @ n0 @ ( minimum @ SV11 @ SV31 ) )
= $true )
| ( ( less_than @ n0 @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[142]) ).
thf(151,plain,
! [SV12: $i,SV32: $i] :
( ( ( less_than @ n0 @ SV32 )
= $false )
| ( ( less_than @ ( minimum @ SV12 @ SV32 ) @ SV12 )
= $true )
| ( ( less_than @ n0 @ SV12 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[143]) ).
thf(152,plain,
! [SV13: $i,SV33: $i] :
( ( ( less_than @ n0 @ SV33 )
= $false )
| ( ( less_than @ ( minimum @ SV13 @ SV33 ) @ SV33 )
= $true )
| ( ( less_than @ n0 @ SV13 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[144]) ).
thf(153,plain,
! [SV14: $i,SV22: $i,SV35: $i] :
( ( ( ~ ( less_than @ SV35 @ ( half @ SV22 ) ) )
= $true )
| ( ( less_than @ ( add @ SV14 @ SV35 ) @ SV22 )
= $true )
| ( ( less_than @ SV14 @ ( half @ SV22 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[145]) ).
thf(154,plain,
! [SV10: $i,SV34: $i,SV21: $i] :
( ( ( less_than @ SV21 @ SV34 )
= $false )
| ( ( less_than @ SV10 @ SV34 )
= $true )
| ( ( less_than @ SV10 @ SV21 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[149]) ).
thf(155,plain,
! [SV14: $i,SV22: $i,SV35: $i] :
( ( ( less_than @ SV35 @ ( half @ SV22 ) )
= $false )
| ( ( less_than @ ( add @ SV14 @ SV35 ) @ SV22 )
= $true )
| ( ( less_than @ SV14 @ ( half @ SV22 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[153]) ).
thf(156,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[58,155,154,152,151,150,148,147,146,132,129,128,127,119,117,115,114,111,103,96,83,82]) ).
thf(157,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[156]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ANA003-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.35 % Computer : n008.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Fri Jul 8 04:21:53 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.37
% 0.13/0.37 No.of.Axioms: 21
% 0.13/0.37
% 0.13/0.37 Length.of.Defs: 0
% 0.13/0.37
% 0.13/0.37 Contains.Choice.Funs: false
% 0.13/0.38 .
% 0.13/0.38 (rf:0,axioms:21,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:600,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:23,loop_count:0,foatp_calls:0,translation:fof_full).......
% 35.43/35.67
% 35.43/35.67 ********************************
% 35.43/35.67 * All subproblems solved! *
% 35.43/35.67 ********************************
% 35.43/35.67 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:21,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:156,loop_count:0,foatp_calls:1,translation:fof_full)
% 35.43/35.68
% 35.43/35.68 %**** Beginning of derivation protocol ****
% 35.43/35.68 % SZS output start CNFRefutation
% See solution above
% 35.43/35.68
% 35.43/35.68 %**** End of derivation protocol ****
% 35.43/35.68 %**** no. of clauses in derivation: 157 ****
% 35.43/35.68 %**** clause counter: 156 ****
% 35.43/35.68
% 35.43/35.68 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:21,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:156,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------