TSTP Solution File: SYN099-1.003 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SYN099-1.003 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n027.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 21 08:23:36 EDT 2022
% Result : Unsatisfiable 0.19s 0.43s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 76
% Syntax : Number of formulae : 345 ( 176 unt; 25 typ; 0 def)
% Number of atoms : 1618 ( 424 equ; 0 cnn)
% Maximal formula atoms : 3 ( 5 avg)
% Number of connectives : 1521 ( 309 ~; 450 |; 0 &; 762 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 24 ( 24 >; 0 *; 0 +; 0 <<)
% Number of symbols : 28 ( 25 usr; 3 con; 0-2 aty)
% Number of variables : 270 ( 0 ^ 270 !; 0 ?; 270 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a,type,
a: $i ).
thf(tp_p_1_1,type,
p_1_1: $i > $o ).
thf(tp_p_1_2,type,
p_1_2: $i > $o ).
thf(tp_p_1_3,type,
p_1_3: $i > $o ).
thf(tp_p_2_2,type,
p_2_2: $i > $o ).
thf(tp_p_2_3,type,
p_2_3: $i > $o ).
thf(tp_p_3_3,type,
p_3_3: $i > $o ).
thf(tp_q_1_1,type,
q_1_1: $i > $o ).
thf(tp_q_1_2,type,
q_1_2: $i > $o ).
thf(tp_q_1_3,type,
q_1_3: $i > $o ).
thf(tp_q_2_2,type,
q_2_2: $i > $o ).
thf(tp_q_2_3,type,
q_2_3: $i > $o ).
thf(tp_q_3_3,type,
q_3_3: $i > $o ).
thf(tp_sym_p_1_1,type,
sym_p_1_1: $i > $o ).
thf(tp_sym_p_1_2,type,
sym_p_1_2: $i > $o ).
thf(tp_sym_p_1_3,type,
sym_p_1_3: $i > $o ).
thf(tp_sym_p_2_2,type,
sym_p_2_2: $i > $o ).
thf(tp_sym_p_2_3,type,
sym_p_2_3: $i > $o ).
thf(tp_sym_p_3_3,type,
sym_p_3_3: $i > $o ).
thf(tp_sym_q_1_1,type,
sym_q_1_1: $i > $o ).
thf(tp_sym_q_1_2,type,
sym_q_1_2: $i > $o ).
thf(tp_sym_q_1_3,type,
sym_q_1_3: $i > $o ).
thf(tp_sym_q_2_2,type,
sym_q_2_2: $i > $o ).
thf(tp_sym_q_2_3,type,
sym_q_2_3: $i > $o ).
thf(tp_sym_q_3_3,type,
sym_q_3_3: $i > $o ).
thf(1,axiom,
~ ( sym_q_3_3 @ a ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_m_t2_6) ).
thf(2,axiom,
~ ( sym_p_3_3 @ a ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_m_t2_5) ).
thf(3,axiom,
~ ( sym_q_2_2 @ a ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_m_t2_4) ).
thf(4,axiom,
~ ( sym_p_2_2 @ a ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_m_t2_3) ).
thf(5,axiom,
~ ( sym_q_1_1 @ a ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_m_t2_2) ).
thf(6,axiom,
~ ( sym_p_1_1 @ a ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_m_t2_1) ).
thf(7,axiom,
! [X: $i] :
( ~ ( sym_q_3_3 @ X )
| ( sym_q_2_3 @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_m_s2_type22_4) ).
thf(8,axiom,
! [X: $i] :
( ~ ( sym_q_2_2 @ X )
| ( sym_q_1_2 @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_m_s2_type22_3) ).
thf(9,axiom,
! [X: $i] :
( ~ ( sym_p_3_3 @ X )
| ( sym_p_2_3 @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_m_s2_type22_2) ).
thf(10,axiom,
! [X: $i] :
( ~ ( sym_p_2_2 @ X )
| ( sym_p_1_2 @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_m_s2_type22_1) ).
thf(11,axiom,
! [X: $i] :
( ~ ( sym_q_1_1 @ X )
| ( sym_q_1_2 @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_m_s2_type21_2) ).
thf(12,axiom,
! [X: $i] :
( ~ ( sym_p_1_1 @ X )
| ( sym_p_1_2 @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_m_s2_type21_1) ).
thf(13,axiom,
! [X: $i] :
( ~ ( sym_q_2_3 @ X )
| ( sym_q_3_3 @ X )
| ( sym_p_2_2 @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_m_s2_type12_6) ).
thf(14,axiom,
! [X: $i] :
( ~ ( sym_q_2_3 @ X )
| ( sym_p_3_3 @ X )
| ( sym_q_2_2 @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_m_s2_type12_5) ).
thf(15,axiom,
! [X: $i] :
( ~ ( sym_q_1_3 @ X )
| ( sym_q_2_3 @ X )
| ( sym_p_1_2 @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_m_s2_type12_4) ).
thf(16,axiom,
! [X: $i] :
( ~ ( sym_q_1_3 @ X )
| ( sym_p_2_3 @ X )
| ( sym_q_1_2 @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_m_s2_type12_3) ).
thf(17,axiom,
! [X: $i] :
( ~ ( sym_q_1_2 @ X )
| ( sym_q_2_2 @ X )
| ( sym_p_1_1 @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_m_s2_type12_2) ).
thf(18,axiom,
! [X: $i] :
( ~ ( sym_q_1_2 @ X )
| ( sym_p_2_2 @ X )
| ( sym_q_1_1 @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_m_s2_type12_1) ).
thf(19,axiom,
! [X: $i] :
( ~ ( sym_p_2_3 @ X )
| ( sym_q_3_3 @ X )
| ( sym_q_2_2 @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_m_s2_type11_6) ).
thf(20,axiom,
! [X: $i] :
( ~ ( sym_p_2_3 @ X )
| ( sym_p_3_3 @ X )
| ( sym_p_2_2 @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_m_s2_type11_5) ).
thf(21,axiom,
! [X: $i] :
( ~ ( sym_p_1_3 @ X )
| ( sym_q_2_3 @ X )
| ( sym_q_1_2 @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_m_s2_type11_4) ).
thf(22,axiom,
! [X: $i] :
( ~ ( sym_p_1_3 @ X )
| ( sym_p_2_3 @ X )
| ( sym_p_1_2 @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_m_s2_type11_3) ).
thf(23,axiom,
! [X: $i] :
( ~ ( sym_p_1_2 @ X )
| ( sym_q_2_2 @ X )
| ( sym_q_1_1 @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_m_s2_type11_2) ).
thf(24,axiom,
! [X: $i] :
( ~ ( sym_p_1_2 @ X )
| ( sym_p_2_2 @ X )
| ( sym_p_1_1 @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_m_s2_type11_1) ).
thf(25,axiom,
! [X: $i] : ( sym_p_1_3 @ X ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_m_s2_goal_1) ).
thf(26,axiom,
q_3_3 @ a,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_t2_6) ).
thf(27,axiom,
p_3_3 @ a,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_t2_5) ).
thf(28,axiom,
q_2_2 @ a,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_t2_4) ).
thf(29,axiom,
p_2_2 @ a,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_t2_3) ).
thf(30,axiom,
q_1_1 @ a,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_t2_2) ).
thf(31,axiom,
p_1_1 @ a,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_t2_1) ).
thf(32,axiom,
! [X: $i] :
( ( q_3_3 @ X )
| ~ ( q_2_3 @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s2_type22_4) ).
thf(33,axiom,
! [X: $i] :
( ( q_2_2 @ X )
| ~ ( q_1_2 @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s2_type22_3) ).
thf(34,axiom,
! [X: $i] :
( ( p_3_3 @ X )
| ~ ( p_2_3 @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s2_type22_2) ).
thf(35,axiom,
! [X: $i] :
( ( p_2_2 @ X )
| ~ ( p_1_2 @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s2_type22_1) ).
thf(36,axiom,
! [X: $i] :
( ( q_1_1 @ X )
| ~ ( q_1_2 @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s2_type21_2) ).
thf(37,axiom,
! [X: $i] :
( ( p_1_1 @ X )
| ~ ( p_1_2 @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s2_type21_1) ).
thf(38,axiom,
! [X: $i] :
( ( q_2_3 @ X )
| ~ ( q_3_3 @ X )
| ~ ( p_2_2 @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s2_type12_6) ).
thf(39,axiom,
! [X: $i] :
( ( q_2_3 @ X )
| ~ ( p_3_3 @ X )
| ~ ( q_2_2 @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s2_type12_5) ).
thf(40,axiom,
! [X: $i] :
( ( q_1_3 @ X )
| ~ ( q_2_3 @ X )
| ~ ( p_1_2 @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s2_type12_4) ).
thf(41,axiom,
! [X: $i] :
( ( q_1_3 @ X )
| ~ ( p_2_3 @ X )
| ~ ( q_1_2 @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s2_type12_3) ).
thf(42,axiom,
! [X: $i] :
( ( q_1_2 @ X )
| ~ ( q_2_2 @ X )
| ~ ( p_1_1 @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s2_type12_2) ).
thf(43,axiom,
! [X: $i] :
( ( q_1_2 @ X )
| ~ ( p_2_2 @ X )
| ~ ( q_1_1 @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s2_type12_1) ).
thf(44,axiom,
! [X: $i] :
( ( p_2_3 @ X )
| ~ ( q_3_3 @ X )
| ~ ( q_2_2 @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s2_type11_6) ).
thf(45,axiom,
! [X: $i] :
( ( p_2_3 @ X )
| ~ ( p_3_3 @ X )
| ~ ( p_2_2 @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s2_type11_5) ).
thf(46,axiom,
! [X: $i] :
( ( p_1_3 @ X )
| ~ ( q_2_3 @ X )
| ~ ( q_1_2 @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s2_type11_4) ).
thf(47,axiom,
! [X: $i] :
( ( p_1_3 @ X )
| ~ ( p_2_3 @ X )
| ~ ( p_1_2 @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s2_type11_3) ).
thf(48,axiom,
! [X: $i] :
( ( p_1_2 @ X )
| ~ ( q_2_2 @ X )
| ~ ( q_1_1 @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s2_type11_2) ).
thf(49,axiom,
! [X: $i] :
( ( p_1_2 @ X )
| ~ ( p_2_2 @ X )
| ~ ( p_1_1 @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s2_type11_1) ).
thf(50,conjecture,
$false,
file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).
thf(51,negated_conjecture,
$false = $false,
inference(negate_conjecture,[status(cth)],[50]) ).
thf(52,negated_conjecture,
! [X: $i] :
~ ( p_1_3 @ X ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s2_goal_1) ).
thf(53,plain,
$false = $false,
inference(unfold_def,[status(thm)],[51]) ).
thf(54,plain,
( ( ~ ( sym_q_3_3 @ a ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(55,plain,
( ( ~ ( sym_p_3_3 @ a ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(56,plain,
( ( ~ ( sym_q_2_2 @ a ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(57,plain,
( ( ~ ( sym_p_2_2 @ a ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(58,plain,
( ( ~ ( sym_q_1_1 @ a ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(59,plain,
( ( ~ ( sym_p_1_1 @ a ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(60,plain,
( ( ! [X: $i] :
( ~ ( sym_q_3_3 @ X )
| ( sym_q_2_3 @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(61,plain,
( ( ! [X: $i] :
( ~ ( sym_q_2_2 @ X )
| ( sym_q_1_2 @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(62,plain,
( ( ! [X: $i] :
( ~ ( sym_p_3_3 @ X )
| ( sym_p_2_3 @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(63,plain,
( ( ! [X: $i] :
( ~ ( sym_p_2_2 @ X )
| ( sym_p_1_2 @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(64,plain,
( ( ! [X: $i] :
( ~ ( sym_q_1_1 @ X )
| ( sym_q_1_2 @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(65,plain,
( ( ! [X: $i] :
( ~ ( sym_p_1_1 @ X )
| ( sym_p_1_2 @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(66,plain,
( ( ! [X: $i] :
( ~ ( sym_q_2_3 @ X )
| ( sym_q_3_3 @ X )
| ( sym_p_2_2 @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(67,plain,
( ( ! [X: $i] :
( ~ ( sym_q_2_3 @ X )
| ( sym_p_3_3 @ X )
| ( sym_q_2_2 @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(68,plain,
( ( ! [X: $i] :
( ~ ( sym_q_1_3 @ X )
| ( sym_q_2_3 @ X )
| ( sym_p_1_2 @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(69,plain,
( ( ! [X: $i] :
( ~ ( sym_q_1_3 @ X )
| ( sym_p_2_3 @ X )
| ( sym_q_1_2 @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(70,plain,
( ( ! [X: $i] :
( ~ ( sym_q_1_2 @ X )
| ( sym_q_2_2 @ X )
| ( sym_p_1_1 @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(71,plain,
( ( ! [X: $i] :
( ~ ( sym_q_1_2 @ X )
| ( sym_p_2_2 @ X )
| ( sym_q_1_1 @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(72,plain,
( ( ! [X: $i] :
( ~ ( sym_p_2_3 @ X )
| ( sym_q_3_3 @ X )
| ( sym_q_2_2 @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(73,plain,
( ( ! [X: $i] :
( ~ ( sym_p_2_3 @ X )
| ( sym_p_3_3 @ X )
| ( sym_p_2_2 @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[20]) ).
thf(74,plain,
( ( ! [X: $i] :
( ~ ( sym_p_1_3 @ X )
| ( sym_q_2_3 @ X )
| ( sym_q_1_2 @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[21]) ).
thf(75,plain,
( ( ! [X: $i] :
( ~ ( sym_p_1_3 @ X )
| ( sym_p_2_3 @ X )
| ( sym_p_1_2 @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[22]) ).
thf(76,plain,
( ( ! [X: $i] :
( ~ ( sym_p_1_2 @ X )
| ( sym_q_2_2 @ X )
| ( sym_q_1_1 @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[23]) ).
thf(77,plain,
( ( ! [X: $i] :
( ~ ( sym_p_1_2 @ X )
| ( sym_p_2_2 @ X )
| ( sym_p_1_1 @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[24]) ).
thf(78,plain,
( ( ! [X: $i] : ( sym_p_1_3 @ X ) )
= $true ),
inference(unfold_def,[status(thm)],[25]) ).
thf(79,plain,
( ( q_3_3 @ a )
= $true ),
inference(unfold_def,[status(thm)],[26]) ).
thf(80,plain,
( ( p_3_3 @ a )
= $true ),
inference(unfold_def,[status(thm)],[27]) ).
thf(81,plain,
( ( q_2_2 @ a )
= $true ),
inference(unfold_def,[status(thm)],[28]) ).
thf(82,plain,
( ( p_2_2 @ a )
= $true ),
inference(unfold_def,[status(thm)],[29]) ).
thf(83,plain,
( ( q_1_1 @ a )
= $true ),
inference(unfold_def,[status(thm)],[30]) ).
thf(84,plain,
( ( p_1_1 @ a )
= $true ),
inference(unfold_def,[status(thm)],[31]) ).
thf(85,plain,
( ( ! [X: $i] :
( ( q_3_3 @ X )
| ~ ( q_2_3 @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[32]) ).
thf(86,plain,
( ( ! [X: $i] :
( ( q_2_2 @ X )
| ~ ( q_1_2 @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[33]) ).
thf(87,plain,
( ( ! [X: $i] :
( ( p_3_3 @ X )
| ~ ( p_2_3 @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[34]) ).
thf(88,plain,
( ( ! [X: $i] :
( ( p_2_2 @ X )
| ~ ( p_1_2 @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[35]) ).
thf(89,plain,
( ( ! [X: $i] :
( ( q_1_1 @ X )
| ~ ( q_1_2 @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[36]) ).
thf(90,plain,
( ( ! [X: $i] :
( ( p_1_1 @ X )
| ~ ( p_1_2 @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[37]) ).
thf(91,plain,
( ( ! [X: $i] :
( ( q_2_3 @ X )
| ~ ( q_3_3 @ X )
| ~ ( p_2_2 @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[38]) ).
thf(92,plain,
( ( ! [X: $i] :
( ( q_2_3 @ X )
| ~ ( p_3_3 @ X )
| ~ ( q_2_2 @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[39]) ).
thf(93,plain,
( ( ! [X: $i] :
( ( q_1_3 @ X )
| ~ ( q_2_3 @ X )
| ~ ( p_1_2 @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[40]) ).
thf(94,plain,
( ( ! [X: $i] :
( ( q_1_3 @ X )
| ~ ( p_2_3 @ X )
| ~ ( q_1_2 @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[41]) ).
thf(95,plain,
( ( ! [X: $i] :
( ( q_1_2 @ X )
| ~ ( q_2_2 @ X )
| ~ ( p_1_1 @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[42]) ).
thf(96,plain,
( ( ! [X: $i] :
( ( q_1_2 @ X )
| ~ ( p_2_2 @ X )
| ~ ( q_1_1 @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[43]) ).
thf(97,plain,
( ( ! [X: $i] :
( ( p_2_3 @ X )
| ~ ( q_3_3 @ X )
| ~ ( q_2_2 @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[44]) ).
thf(98,plain,
( ( ! [X: $i] :
( ( p_2_3 @ X )
| ~ ( p_3_3 @ X )
| ~ ( p_2_2 @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[45]) ).
thf(99,plain,
( ( ! [X: $i] :
( ( p_1_3 @ X )
| ~ ( q_2_3 @ X )
| ~ ( q_1_2 @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[46]) ).
thf(100,plain,
( ( ! [X: $i] :
( ( p_1_3 @ X )
| ~ ( p_2_3 @ X )
| ~ ( p_1_2 @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[47]) ).
thf(101,plain,
( ( ! [X: $i] :
( ( p_1_2 @ X )
| ~ ( q_2_2 @ X )
| ~ ( q_1_1 @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[48]) ).
thf(102,plain,
( ( ! [X: $i] :
( ( p_1_2 @ X )
| ~ ( p_2_2 @ X )
| ~ ( p_1_1 @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[49]) ).
thf(103,plain,
( ( ! [X: $i] :
~ ( p_1_3 @ X ) )
= $true ),
inference(unfold_def,[status(thm)],[52]) ).
thf(104,plain,
( ( ~ $false )
= $true ),
inference(polarity_switch,[status(thm)],[53]) ).
thf(105,plain,
( ( ! [X: $i] :
( ~ ( sym_q_2_3 @ X )
| ( sym_p_2_2 @ X )
| ( sym_q_3_3 @ X ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[66]) ).
thf(106,plain,
( ( ! [X: $i] :
( ~ ( sym_q_1_3 @ X )
| ( sym_p_1_2 @ X )
| ( sym_q_2_3 @ X ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[68]) ).
thf(107,plain,
( ( ! [X: $i] :
( ~ ( sym_q_1_2 @ X )
| ( sym_p_1_1 @ X )
| ( sym_q_2_2 @ X ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[70]) ).
thf(108,plain,
( ( ! [X: $i] :
( ~ ( sym_p_2_3 @ X )
| ( sym_q_2_2 @ X )
| ( sym_q_3_3 @ X ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[72]) ).
thf(109,plain,
( ( ! [X: $i] :
( ~ ( sym_p_2_3 @ X )
| ( sym_p_2_2 @ X )
| ( sym_p_3_3 @ X ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[73]) ).
thf(110,plain,
( ( ! [X: $i] :
( ~ ( sym_p_1_3 @ X )
| ( sym_q_1_2 @ X )
| ( sym_q_2_3 @ X ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[74]) ).
thf(111,plain,
( ( ! [X: $i] :
( ~ ( sym_p_1_3 @ X )
| ( sym_p_1_2 @ X )
| ( sym_p_2_3 @ X ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[75]) ).
thf(112,plain,
( ( ! [X: $i] :
( ~ ( sym_p_1_2 @ X )
| ( sym_q_1_1 @ X )
| ( sym_q_2_2 @ X ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[76]) ).
thf(113,plain,
( ( ! [X: $i] :
( ~ ( sym_p_1_2 @ X )
| ( sym_p_1_1 @ X )
| ( sym_p_2_2 @ X ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[77]) ).
thf(114,plain,
( ( ! [X: $i] :
~ ( p_1_3 @ X ) )
= $true ),
inference(copy,[status(thm)],[103]) ).
thf(115,plain,
( ( ! [X: $i] :
( ( p_1_2 @ X )
| ~ ( p_2_2 @ X )
| ~ ( p_1_1 @ X ) ) )
= $true ),
inference(copy,[status(thm)],[102]) ).
thf(116,plain,
( ( ! [X: $i] :
( ( p_1_2 @ X )
| ~ ( q_2_2 @ X )
| ~ ( q_1_1 @ X ) ) )
= $true ),
inference(copy,[status(thm)],[101]) ).
thf(117,plain,
( ( ! [X: $i] :
( ( p_1_3 @ X )
| ~ ( p_2_3 @ X )
| ~ ( p_1_2 @ X ) ) )
= $true ),
inference(copy,[status(thm)],[100]) ).
thf(118,plain,
( ( ! [X: $i] :
( ( p_1_3 @ X )
| ~ ( q_2_3 @ X )
| ~ ( q_1_2 @ X ) ) )
= $true ),
inference(copy,[status(thm)],[99]) ).
thf(119,plain,
( ( ! [X: $i] :
( ( p_2_3 @ X )
| ~ ( p_3_3 @ X )
| ~ ( p_2_2 @ X ) ) )
= $true ),
inference(copy,[status(thm)],[98]) ).
thf(120,plain,
( ( ! [X: $i] :
( ( p_2_3 @ X )
| ~ ( q_3_3 @ X )
| ~ ( q_2_2 @ X ) ) )
= $true ),
inference(copy,[status(thm)],[97]) ).
thf(121,plain,
( ( ! [X: $i] :
( ( q_1_2 @ X )
| ~ ( p_2_2 @ X )
| ~ ( q_1_1 @ X ) ) )
= $true ),
inference(copy,[status(thm)],[96]) ).
thf(122,plain,
( ( ! [X: $i] :
( ( q_1_2 @ X )
| ~ ( q_2_2 @ X )
| ~ ( p_1_1 @ X ) ) )
= $true ),
inference(copy,[status(thm)],[95]) ).
thf(123,plain,
( ( ! [X: $i] :
( ( q_1_3 @ X )
| ~ ( p_2_3 @ X )
| ~ ( q_1_2 @ X ) ) )
= $true ),
inference(copy,[status(thm)],[94]) ).
thf(124,plain,
( ( ! [X: $i] :
( ( q_1_3 @ X )
| ~ ( q_2_3 @ X )
| ~ ( p_1_2 @ X ) ) )
= $true ),
inference(copy,[status(thm)],[93]) ).
thf(125,plain,
( ( ! [X: $i] :
( ( q_2_3 @ X )
| ~ ( p_3_3 @ X )
| ~ ( q_2_2 @ X ) ) )
= $true ),
inference(copy,[status(thm)],[92]) ).
thf(126,plain,
( ( ! [X: $i] :
( ( q_2_3 @ X )
| ~ ( q_3_3 @ X )
| ~ ( p_2_2 @ X ) ) )
= $true ),
inference(copy,[status(thm)],[91]) ).
thf(127,plain,
( ( ! [X: $i] :
( ( p_1_1 @ X )
| ~ ( p_1_2 @ X ) ) )
= $true ),
inference(copy,[status(thm)],[90]) ).
thf(128,plain,
( ( ! [X: $i] :
( ( q_1_1 @ X )
| ~ ( q_1_2 @ X ) ) )
= $true ),
inference(copy,[status(thm)],[89]) ).
thf(129,plain,
( ( ! [X: $i] :
( ( p_2_2 @ X )
| ~ ( p_1_2 @ X ) ) )
= $true ),
inference(copy,[status(thm)],[88]) ).
thf(130,plain,
( ( ! [X: $i] :
( ( p_3_3 @ X )
| ~ ( p_2_3 @ X ) ) )
= $true ),
inference(copy,[status(thm)],[87]) ).
thf(131,plain,
( ( ! [X: $i] :
( ( q_2_2 @ X )
| ~ ( q_1_2 @ X ) ) )
= $true ),
inference(copy,[status(thm)],[86]) ).
thf(132,plain,
( ( ! [X: $i] :
( ( q_3_3 @ X )
| ~ ( q_2_3 @ X ) ) )
= $true ),
inference(copy,[status(thm)],[85]) ).
thf(133,plain,
( ( p_1_1 @ a )
= $true ),
inference(copy,[status(thm)],[84]) ).
thf(134,plain,
( ( q_1_1 @ a )
= $true ),
inference(copy,[status(thm)],[83]) ).
thf(135,plain,
( ( p_2_2 @ a )
= $true ),
inference(copy,[status(thm)],[82]) ).
thf(136,plain,
( ( q_2_2 @ a )
= $true ),
inference(copy,[status(thm)],[81]) ).
thf(137,plain,
( ( p_3_3 @ a )
= $true ),
inference(copy,[status(thm)],[80]) ).
thf(138,plain,
( ( q_3_3 @ a )
= $true ),
inference(copy,[status(thm)],[79]) ).
thf(139,plain,
( ( ! [X: $i] : ( sym_p_1_3 @ X ) )
= $true ),
inference(copy,[status(thm)],[78]) ).
thf(140,plain,
( ( ! [X: $i] :
( ~ ( sym_p_1_2 @ X )
| ( sym_p_1_1 @ X )
| ( sym_p_2_2 @ X ) ) )
= $true ),
inference(copy,[status(thm)],[113]) ).
thf(141,plain,
( ( ! [X: $i] :
( ~ ( sym_p_1_2 @ X )
| ( sym_q_1_1 @ X )
| ( sym_q_2_2 @ X ) ) )
= $true ),
inference(copy,[status(thm)],[112]) ).
thf(142,plain,
( ( ! [X: $i] :
( ~ ( sym_p_1_3 @ X )
| ( sym_p_1_2 @ X )
| ( sym_p_2_3 @ X ) ) )
= $true ),
inference(copy,[status(thm)],[111]) ).
thf(143,plain,
( ( ! [X: $i] :
( ~ ( sym_p_1_3 @ X )
| ( sym_q_1_2 @ X )
| ( sym_q_2_3 @ X ) ) )
= $true ),
inference(copy,[status(thm)],[110]) ).
thf(144,plain,
( ( ! [X: $i] :
( ~ ( sym_p_2_3 @ X )
| ( sym_p_2_2 @ X )
| ( sym_p_3_3 @ X ) ) )
= $true ),
inference(copy,[status(thm)],[109]) ).
thf(145,plain,
( ( ! [X: $i] :
( ~ ( sym_p_2_3 @ X )
| ( sym_q_2_2 @ X )
| ( sym_q_3_3 @ X ) ) )
= $true ),
inference(copy,[status(thm)],[108]) ).
thf(146,plain,
( ( ! [X: $i] :
( ~ ( sym_q_1_2 @ X )
| ( sym_p_2_2 @ X )
| ( sym_q_1_1 @ X ) ) )
= $true ),
inference(copy,[status(thm)],[71]) ).
thf(147,plain,
( ( ! [X: $i] :
( ~ ( sym_q_1_2 @ X )
| ( sym_p_1_1 @ X )
| ( sym_q_2_2 @ X ) ) )
= $true ),
inference(copy,[status(thm)],[107]) ).
thf(148,plain,
( ( ! [X: $i] :
( ~ ( sym_q_1_3 @ X )
| ( sym_p_2_3 @ X )
| ( sym_q_1_2 @ X ) ) )
= $true ),
inference(copy,[status(thm)],[69]) ).
thf(149,plain,
( ( ! [X: $i] :
( ~ ( sym_q_1_3 @ X )
| ( sym_p_1_2 @ X )
| ( sym_q_2_3 @ X ) ) )
= $true ),
inference(copy,[status(thm)],[106]) ).
thf(150,plain,
( ( ! [X: $i] :
( ~ ( sym_q_2_3 @ X )
| ( sym_p_3_3 @ X )
| ( sym_q_2_2 @ X ) ) )
= $true ),
inference(copy,[status(thm)],[67]) ).
thf(151,plain,
( ( ! [X: $i] :
( ~ ( sym_q_2_3 @ X )
| ( sym_p_2_2 @ X )
| ( sym_q_3_3 @ X ) ) )
= $true ),
inference(copy,[status(thm)],[105]) ).
thf(152,plain,
( ( ! [X: $i] :
( ~ ( sym_p_1_1 @ X )
| ( sym_p_1_2 @ X ) ) )
= $true ),
inference(copy,[status(thm)],[65]) ).
thf(153,plain,
( ( ! [X: $i] :
( ~ ( sym_q_1_1 @ X )
| ( sym_q_1_2 @ X ) ) )
= $true ),
inference(copy,[status(thm)],[64]) ).
thf(154,plain,
( ( ! [X: $i] :
( ~ ( sym_p_2_2 @ X )
| ( sym_p_1_2 @ X ) ) )
= $true ),
inference(copy,[status(thm)],[63]) ).
thf(155,plain,
( ( ! [X: $i] :
( ~ ( sym_p_3_3 @ X )
| ( sym_p_2_3 @ X ) ) )
= $true ),
inference(copy,[status(thm)],[62]) ).
thf(156,plain,
( ( ! [X: $i] :
( ~ ( sym_q_2_2 @ X )
| ( sym_q_1_2 @ X ) ) )
= $true ),
inference(copy,[status(thm)],[61]) ).
thf(157,plain,
( ( ! [X: $i] :
( ~ ( sym_q_3_3 @ X )
| ( sym_q_2_3 @ X ) ) )
= $true ),
inference(copy,[status(thm)],[60]) ).
thf(158,plain,
( ( ~ ( sym_p_1_1 @ a ) )
= $true ),
inference(copy,[status(thm)],[59]) ).
thf(159,plain,
( ( ~ ( sym_q_1_1 @ a ) )
= $true ),
inference(copy,[status(thm)],[58]) ).
thf(160,plain,
( ( ~ ( sym_p_2_2 @ a ) )
= $true ),
inference(copy,[status(thm)],[57]) ).
thf(161,plain,
( ( ~ ( sym_q_2_2 @ a ) )
= $true ),
inference(copy,[status(thm)],[56]) ).
thf(162,plain,
( ( ~ ( sym_p_3_3 @ a ) )
= $true ),
inference(copy,[status(thm)],[55]) ).
thf(163,plain,
( ( ~ ( sym_q_3_3 @ a ) )
= $true ),
inference(copy,[status(thm)],[54]) ).
thf(164,plain,
( ( ~ $false )
= $true ),
inference(copy,[status(thm)],[104]) ).
thf(165,plain,
! [SV1: $i] :
( ( ~ ( p_1_3 @ SV1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[114]) ).
thf(166,plain,
! [SV2: $i] :
( ( ( p_1_2 @ SV2 )
| ~ ( p_2_2 @ SV2 )
| ~ ( p_1_1 @ SV2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[115]) ).
thf(167,plain,
! [SV3: $i] :
( ( ( p_1_2 @ SV3 )
| ~ ( q_2_2 @ SV3 )
| ~ ( q_1_1 @ SV3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[116]) ).
thf(168,plain,
! [SV4: $i] :
( ( ( p_1_3 @ SV4 )
| ~ ( p_2_3 @ SV4 )
| ~ ( p_1_2 @ SV4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[117]) ).
thf(169,plain,
! [SV5: $i] :
( ( ( p_1_3 @ SV5 )
| ~ ( q_2_3 @ SV5 )
| ~ ( q_1_2 @ SV5 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[118]) ).
thf(170,plain,
! [SV6: $i] :
( ( ( p_2_3 @ SV6 )
| ~ ( p_3_3 @ SV6 )
| ~ ( p_2_2 @ SV6 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[119]) ).
thf(171,plain,
! [SV7: $i] :
( ( ( p_2_3 @ SV7 )
| ~ ( q_3_3 @ SV7 )
| ~ ( q_2_2 @ SV7 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[120]) ).
thf(172,plain,
! [SV8: $i] :
( ( ( q_1_2 @ SV8 )
| ~ ( p_2_2 @ SV8 )
| ~ ( q_1_1 @ SV8 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[121]) ).
thf(173,plain,
! [SV9: $i] :
( ( ( q_1_2 @ SV9 )
| ~ ( q_2_2 @ SV9 )
| ~ ( p_1_1 @ SV9 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[122]) ).
thf(174,plain,
! [SV10: $i] :
( ( ( q_1_3 @ SV10 )
| ~ ( p_2_3 @ SV10 )
| ~ ( q_1_2 @ SV10 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[123]) ).
thf(175,plain,
! [SV11: $i] :
( ( ( q_1_3 @ SV11 )
| ~ ( q_2_3 @ SV11 )
| ~ ( p_1_2 @ SV11 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[124]) ).
thf(176,plain,
! [SV12: $i] :
( ( ( q_2_3 @ SV12 )
| ~ ( p_3_3 @ SV12 )
| ~ ( q_2_2 @ SV12 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[125]) ).
thf(177,plain,
! [SV13: $i] :
( ( ( q_2_3 @ SV13 )
| ~ ( q_3_3 @ SV13 )
| ~ ( p_2_2 @ SV13 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[126]) ).
thf(178,plain,
! [SV14: $i] :
( ( ( p_1_1 @ SV14 )
| ~ ( p_1_2 @ SV14 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[127]) ).
thf(179,plain,
! [SV15: $i] :
( ( ( q_1_1 @ SV15 )
| ~ ( q_1_2 @ SV15 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[128]) ).
thf(180,plain,
! [SV16: $i] :
( ( ( p_2_2 @ SV16 )
| ~ ( p_1_2 @ SV16 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[129]) ).
thf(181,plain,
! [SV17: $i] :
( ( ( p_3_3 @ SV17 )
| ~ ( p_2_3 @ SV17 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[130]) ).
thf(182,plain,
! [SV18: $i] :
( ( ( q_2_2 @ SV18 )
| ~ ( q_1_2 @ SV18 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[131]) ).
thf(183,plain,
! [SV19: $i] :
( ( ( q_3_3 @ SV19 )
| ~ ( q_2_3 @ SV19 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[132]) ).
thf(184,plain,
! [SV20: $i] :
( ( sym_p_1_3 @ SV20 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[139]) ).
thf(185,plain,
! [SV21: $i] :
( ( ~ ( sym_p_1_2 @ SV21 )
| ( sym_p_1_1 @ SV21 )
| ( sym_p_2_2 @ SV21 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[140]) ).
thf(186,plain,
! [SV22: $i] :
( ( ~ ( sym_p_1_2 @ SV22 )
| ( sym_q_1_1 @ SV22 )
| ( sym_q_2_2 @ SV22 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[141]) ).
thf(187,plain,
! [SV23: $i] :
( ( ~ ( sym_p_1_3 @ SV23 )
| ( sym_p_1_2 @ SV23 )
| ( sym_p_2_3 @ SV23 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[142]) ).
thf(188,plain,
! [SV24: $i] :
( ( ~ ( sym_p_1_3 @ SV24 )
| ( sym_q_1_2 @ SV24 )
| ( sym_q_2_3 @ SV24 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[143]) ).
thf(189,plain,
! [SV25: $i] :
( ( ~ ( sym_p_2_3 @ SV25 )
| ( sym_p_2_2 @ SV25 )
| ( sym_p_3_3 @ SV25 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[144]) ).
thf(190,plain,
! [SV26: $i] :
( ( ~ ( sym_p_2_3 @ SV26 )
| ( sym_q_2_2 @ SV26 )
| ( sym_q_3_3 @ SV26 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[145]) ).
thf(191,plain,
! [SV27: $i] :
( ( ~ ( sym_q_1_2 @ SV27 )
| ( sym_p_2_2 @ SV27 )
| ( sym_q_1_1 @ SV27 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[146]) ).
thf(192,plain,
! [SV28: $i] :
( ( ~ ( sym_q_1_2 @ SV28 )
| ( sym_p_1_1 @ SV28 )
| ( sym_q_2_2 @ SV28 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[147]) ).
thf(193,plain,
! [SV29: $i] :
( ( ~ ( sym_q_1_3 @ SV29 )
| ( sym_p_2_3 @ SV29 )
| ( sym_q_1_2 @ SV29 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[148]) ).
thf(194,plain,
! [SV30: $i] :
( ( ~ ( sym_q_1_3 @ SV30 )
| ( sym_p_1_2 @ SV30 )
| ( sym_q_2_3 @ SV30 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[149]) ).
thf(195,plain,
! [SV31: $i] :
( ( ~ ( sym_q_2_3 @ SV31 )
| ( sym_p_3_3 @ SV31 )
| ( sym_q_2_2 @ SV31 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[150]) ).
thf(196,plain,
! [SV32: $i] :
( ( ~ ( sym_q_2_3 @ SV32 )
| ( sym_p_2_2 @ SV32 )
| ( sym_q_3_3 @ SV32 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[151]) ).
thf(197,plain,
! [SV33: $i] :
( ( ~ ( sym_p_1_1 @ SV33 )
| ( sym_p_1_2 @ SV33 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[152]) ).
thf(198,plain,
! [SV34: $i] :
( ( ~ ( sym_q_1_1 @ SV34 )
| ( sym_q_1_2 @ SV34 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[153]) ).
thf(199,plain,
! [SV35: $i] :
( ( ~ ( sym_p_2_2 @ SV35 )
| ( sym_p_1_2 @ SV35 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[154]) ).
thf(200,plain,
! [SV36: $i] :
( ( ~ ( sym_p_3_3 @ SV36 )
| ( sym_p_2_3 @ SV36 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[155]) ).
thf(201,plain,
! [SV37: $i] :
( ( ~ ( sym_q_2_2 @ SV37 )
| ( sym_q_1_2 @ SV37 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[156]) ).
thf(202,plain,
! [SV38: $i] :
( ( ~ ( sym_q_3_3 @ SV38 )
| ( sym_q_2_3 @ SV38 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[157]) ).
thf(203,plain,
( ( sym_p_1_1 @ a )
= $false ),
inference(extcnf_not_pos,[status(thm)],[158]) ).
thf(204,plain,
( ( sym_q_1_1 @ a )
= $false ),
inference(extcnf_not_pos,[status(thm)],[159]) ).
thf(205,plain,
( ( sym_p_2_2 @ a )
= $false ),
inference(extcnf_not_pos,[status(thm)],[160]) ).
thf(206,plain,
( ( sym_q_2_2 @ a )
= $false ),
inference(extcnf_not_pos,[status(thm)],[161]) ).
thf(207,plain,
( ( sym_p_3_3 @ a )
= $false ),
inference(extcnf_not_pos,[status(thm)],[162]) ).
thf(208,plain,
( ( sym_q_3_3 @ a )
= $false ),
inference(extcnf_not_pos,[status(thm)],[163]) ).
thf(209,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[164]) ).
thf(210,plain,
! [SV1: $i] :
( ( p_1_3 @ SV1 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[165]) ).
thf(211,plain,
! [SV2: $i] :
( ( ( p_1_2 @ SV2 )
= $true )
| ( ( ~ ( p_2_2 @ SV2 )
| ~ ( p_1_1 @ SV2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[166]) ).
thf(212,plain,
! [SV3: $i] :
( ( ( p_1_2 @ SV3 )
= $true )
| ( ( ~ ( q_2_2 @ SV3 )
| ~ ( q_1_1 @ SV3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[167]) ).
thf(213,plain,
! [SV4: $i] :
( ( ( p_1_3 @ SV4 )
= $true )
| ( ( ~ ( p_2_3 @ SV4 )
| ~ ( p_1_2 @ SV4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[168]) ).
thf(214,plain,
! [SV5: $i] :
( ( ( p_1_3 @ SV5 )
= $true )
| ( ( ~ ( q_2_3 @ SV5 )
| ~ ( q_1_2 @ SV5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[169]) ).
thf(215,plain,
! [SV6: $i] :
( ( ( p_2_3 @ SV6 )
= $true )
| ( ( ~ ( p_3_3 @ SV6 )
| ~ ( p_2_2 @ SV6 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[170]) ).
thf(216,plain,
! [SV7: $i] :
( ( ( p_2_3 @ SV7 )
= $true )
| ( ( ~ ( q_3_3 @ SV7 )
| ~ ( q_2_2 @ SV7 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[171]) ).
thf(217,plain,
! [SV8: $i] :
( ( ( q_1_2 @ SV8 )
= $true )
| ( ( ~ ( p_2_2 @ SV8 )
| ~ ( q_1_1 @ SV8 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[172]) ).
thf(218,plain,
! [SV9: $i] :
( ( ( q_1_2 @ SV9 )
= $true )
| ( ( ~ ( q_2_2 @ SV9 )
| ~ ( p_1_1 @ SV9 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[173]) ).
thf(219,plain,
! [SV10: $i] :
( ( ( q_1_3 @ SV10 )
= $true )
| ( ( ~ ( p_2_3 @ SV10 )
| ~ ( q_1_2 @ SV10 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[174]) ).
thf(220,plain,
! [SV11: $i] :
( ( ( q_1_3 @ SV11 )
= $true )
| ( ( ~ ( q_2_3 @ SV11 )
| ~ ( p_1_2 @ SV11 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[175]) ).
thf(221,plain,
! [SV12: $i] :
( ( ( q_2_3 @ SV12 )
= $true )
| ( ( ~ ( p_3_3 @ SV12 )
| ~ ( q_2_2 @ SV12 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[176]) ).
thf(222,plain,
! [SV13: $i] :
( ( ( q_2_3 @ SV13 )
= $true )
| ( ( ~ ( q_3_3 @ SV13 )
| ~ ( p_2_2 @ SV13 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[177]) ).
thf(223,plain,
! [SV14: $i] :
( ( ( p_1_1 @ SV14 )
= $true )
| ( ( ~ ( p_1_2 @ SV14 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[178]) ).
thf(224,plain,
! [SV15: $i] :
( ( ( q_1_1 @ SV15 )
= $true )
| ( ( ~ ( q_1_2 @ SV15 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[179]) ).
thf(225,plain,
! [SV16: $i] :
( ( ( p_2_2 @ SV16 )
= $true )
| ( ( ~ ( p_1_2 @ SV16 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[180]) ).
thf(226,plain,
! [SV17: $i] :
( ( ( p_3_3 @ SV17 )
= $true )
| ( ( ~ ( p_2_3 @ SV17 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[181]) ).
thf(227,plain,
! [SV18: $i] :
( ( ( q_2_2 @ SV18 )
= $true )
| ( ( ~ ( q_1_2 @ SV18 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[182]) ).
thf(228,plain,
! [SV19: $i] :
( ( ( q_3_3 @ SV19 )
= $true )
| ( ( ~ ( q_2_3 @ SV19 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[183]) ).
thf(229,plain,
! [SV21: $i] :
( ( ( ~ ( sym_p_1_2 @ SV21 ) )
= $true )
| ( ( ( sym_p_1_1 @ SV21 )
| ( sym_p_2_2 @ SV21 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[185]) ).
thf(230,plain,
! [SV22: $i] :
( ( ( ~ ( sym_p_1_2 @ SV22 ) )
= $true )
| ( ( ( sym_q_1_1 @ SV22 )
| ( sym_q_2_2 @ SV22 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[186]) ).
thf(231,plain,
! [SV23: $i] :
( ( ( ~ ( sym_p_1_3 @ SV23 ) )
= $true )
| ( ( ( sym_p_1_2 @ SV23 )
| ( sym_p_2_3 @ SV23 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[187]) ).
thf(232,plain,
! [SV24: $i] :
( ( ( ~ ( sym_p_1_3 @ SV24 ) )
= $true )
| ( ( ( sym_q_1_2 @ SV24 )
| ( sym_q_2_3 @ SV24 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[188]) ).
thf(233,plain,
! [SV25: $i] :
( ( ( ~ ( sym_p_2_3 @ SV25 ) )
= $true )
| ( ( ( sym_p_2_2 @ SV25 )
| ( sym_p_3_3 @ SV25 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[189]) ).
thf(234,plain,
! [SV26: $i] :
( ( ( ~ ( sym_p_2_3 @ SV26 ) )
= $true )
| ( ( ( sym_q_2_2 @ SV26 )
| ( sym_q_3_3 @ SV26 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[190]) ).
thf(235,plain,
! [SV27: $i] :
( ( ( ~ ( sym_q_1_2 @ SV27 ) )
= $true )
| ( ( ( sym_p_2_2 @ SV27 )
| ( sym_q_1_1 @ SV27 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[191]) ).
thf(236,plain,
! [SV28: $i] :
( ( ( ~ ( sym_q_1_2 @ SV28 ) )
= $true )
| ( ( ( sym_p_1_1 @ SV28 )
| ( sym_q_2_2 @ SV28 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[192]) ).
thf(237,plain,
! [SV29: $i] :
( ( ( ~ ( sym_q_1_3 @ SV29 ) )
= $true )
| ( ( ( sym_p_2_3 @ SV29 )
| ( sym_q_1_2 @ SV29 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[193]) ).
thf(238,plain,
! [SV30: $i] :
( ( ( ~ ( sym_q_1_3 @ SV30 ) )
= $true )
| ( ( ( sym_p_1_2 @ SV30 )
| ( sym_q_2_3 @ SV30 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[194]) ).
thf(239,plain,
! [SV31: $i] :
( ( ( ~ ( sym_q_2_3 @ SV31 ) )
= $true )
| ( ( ( sym_p_3_3 @ SV31 )
| ( sym_q_2_2 @ SV31 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[195]) ).
thf(240,plain,
! [SV32: $i] :
( ( ( ~ ( sym_q_2_3 @ SV32 ) )
= $true )
| ( ( ( sym_p_2_2 @ SV32 )
| ( sym_q_3_3 @ SV32 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[196]) ).
thf(241,plain,
! [SV33: $i] :
( ( ( ~ ( sym_p_1_1 @ SV33 ) )
= $true )
| ( ( sym_p_1_2 @ SV33 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[197]) ).
thf(242,plain,
! [SV34: $i] :
( ( ( ~ ( sym_q_1_1 @ SV34 ) )
= $true )
| ( ( sym_q_1_2 @ SV34 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[198]) ).
thf(243,plain,
! [SV35: $i] :
( ( ( ~ ( sym_p_2_2 @ SV35 ) )
= $true )
| ( ( sym_p_1_2 @ SV35 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[199]) ).
thf(244,plain,
! [SV36: $i] :
( ( ( ~ ( sym_p_3_3 @ SV36 ) )
= $true )
| ( ( sym_p_2_3 @ SV36 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[200]) ).
thf(245,plain,
! [SV37: $i] :
( ( ( ~ ( sym_q_2_2 @ SV37 ) )
= $true )
| ( ( sym_q_1_2 @ SV37 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[201]) ).
thf(246,plain,
! [SV38: $i] :
( ( ( ~ ( sym_q_3_3 @ SV38 ) )
= $true )
| ( ( sym_q_2_3 @ SV38 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[202]) ).
thf(247,plain,
! [SV2: $i] :
( ( ( ~ ( p_2_2 @ SV2 ) )
= $true )
| ( ( ~ ( p_1_1 @ SV2 ) )
= $true )
| ( ( p_1_2 @ SV2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[211]) ).
thf(248,plain,
! [SV3: $i] :
( ( ( ~ ( q_2_2 @ SV3 ) )
= $true )
| ( ( ~ ( q_1_1 @ SV3 ) )
= $true )
| ( ( p_1_2 @ SV3 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[212]) ).
thf(249,plain,
! [SV4: $i] :
( ( ( ~ ( p_2_3 @ SV4 ) )
= $true )
| ( ( ~ ( p_1_2 @ SV4 ) )
= $true )
| ( ( p_1_3 @ SV4 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[213]) ).
thf(250,plain,
! [SV5: $i] :
( ( ( ~ ( q_2_3 @ SV5 ) )
= $true )
| ( ( ~ ( q_1_2 @ SV5 ) )
= $true )
| ( ( p_1_3 @ SV5 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[214]) ).
thf(251,plain,
! [SV6: $i] :
( ( ( ~ ( p_3_3 @ SV6 ) )
= $true )
| ( ( ~ ( p_2_2 @ SV6 ) )
= $true )
| ( ( p_2_3 @ SV6 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[215]) ).
thf(252,plain,
! [SV7: $i] :
( ( ( ~ ( q_3_3 @ SV7 ) )
= $true )
| ( ( ~ ( q_2_2 @ SV7 ) )
= $true )
| ( ( p_2_3 @ SV7 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[216]) ).
thf(253,plain,
! [SV8: $i] :
( ( ( ~ ( p_2_2 @ SV8 ) )
= $true )
| ( ( ~ ( q_1_1 @ SV8 ) )
= $true )
| ( ( q_1_2 @ SV8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[217]) ).
thf(254,plain,
! [SV9: $i] :
( ( ( ~ ( q_2_2 @ SV9 ) )
= $true )
| ( ( ~ ( p_1_1 @ SV9 ) )
= $true )
| ( ( q_1_2 @ SV9 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[218]) ).
thf(255,plain,
! [SV10: $i] :
( ( ( ~ ( p_2_3 @ SV10 ) )
= $true )
| ( ( ~ ( q_1_2 @ SV10 ) )
= $true )
| ( ( q_1_3 @ SV10 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[219]) ).
thf(256,plain,
! [SV11: $i] :
( ( ( ~ ( q_2_3 @ SV11 ) )
= $true )
| ( ( ~ ( p_1_2 @ SV11 ) )
= $true )
| ( ( q_1_3 @ SV11 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[220]) ).
thf(257,plain,
! [SV12: $i] :
( ( ( ~ ( p_3_3 @ SV12 ) )
= $true )
| ( ( ~ ( q_2_2 @ SV12 ) )
= $true )
| ( ( q_2_3 @ SV12 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[221]) ).
thf(258,plain,
! [SV13: $i] :
( ( ( ~ ( q_3_3 @ SV13 ) )
= $true )
| ( ( ~ ( p_2_2 @ SV13 ) )
= $true )
| ( ( q_2_3 @ SV13 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[222]) ).
thf(259,plain,
! [SV14: $i] :
( ( ( p_1_2 @ SV14 )
= $false )
| ( ( p_1_1 @ SV14 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[223]) ).
thf(260,plain,
! [SV15: $i] :
( ( ( q_1_2 @ SV15 )
= $false )
| ( ( q_1_1 @ SV15 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[224]) ).
thf(261,plain,
! [SV16: $i] :
( ( ( p_1_2 @ SV16 )
= $false )
| ( ( p_2_2 @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[225]) ).
thf(262,plain,
! [SV17: $i] :
( ( ( p_2_3 @ SV17 )
= $false )
| ( ( p_3_3 @ SV17 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[226]) ).
thf(263,plain,
! [SV18: $i] :
( ( ( q_1_2 @ SV18 )
= $false )
| ( ( q_2_2 @ SV18 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[227]) ).
thf(264,plain,
! [SV19: $i] :
( ( ( q_2_3 @ SV19 )
= $false )
| ( ( q_3_3 @ SV19 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[228]) ).
thf(265,plain,
! [SV21: $i] :
( ( ( sym_p_1_2 @ SV21 )
= $false )
| ( ( ( sym_p_1_1 @ SV21 )
| ( sym_p_2_2 @ SV21 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[229]) ).
thf(266,plain,
! [SV22: $i] :
( ( ( sym_p_1_2 @ SV22 )
= $false )
| ( ( ( sym_q_1_1 @ SV22 )
| ( sym_q_2_2 @ SV22 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[230]) ).
thf(267,plain,
! [SV23: $i] :
( ( ( sym_p_1_3 @ SV23 )
= $false )
| ( ( ( sym_p_1_2 @ SV23 )
| ( sym_p_2_3 @ SV23 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[231]) ).
thf(268,plain,
! [SV24: $i] :
( ( ( sym_p_1_3 @ SV24 )
= $false )
| ( ( ( sym_q_1_2 @ SV24 )
| ( sym_q_2_3 @ SV24 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[232]) ).
thf(269,plain,
! [SV25: $i] :
( ( ( sym_p_2_3 @ SV25 )
= $false )
| ( ( ( sym_p_2_2 @ SV25 )
| ( sym_p_3_3 @ SV25 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[233]) ).
thf(270,plain,
! [SV26: $i] :
( ( ( sym_p_2_3 @ SV26 )
= $false )
| ( ( ( sym_q_2_2 @ SV26 )
| ( sym_q_3_3 @ SV26 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[234]) ).
thf(271,plain,
! [SV27: $i] :
( ( ( sym_q_1_2 @ SV27 )
= $false )
| ( ( ( sym_p_2_2 @ SV27 )
| ( sym_q_1_1 @ SV27 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[235]) ).
thf(272,plain,
! [SV28: $i] :
( ( ( sym_q_1_2 @ SV28 )
= $false )
| ( ( ( sym_p_1_1 @ SV28 )
| ( sym_q_2_2 @ SV28 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[236]) ).
thf(273,plain,
! [SV29: $i] :
( ( ( sym_q_1_3 @ SV29 )
= $false )
| ( ( ( sym_p_2_3 @ SV29 )
| ( sym_q_1_2 @ SV29 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[237]) ).
thf(274,plain,
! [SV30: $i] :
( ( ( sym_q_1_3 @ SV30 )
= $false )
| ( ( ( sym_p_1_2 @ SV30 )
| ( sym_q_2_3 @ SV30 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[238]) ).
thf(275,plain,
! [SV31: $i] :
( ( ( sym_q_2_3 @ SV31 )
= $false )
| ( ( ( sym_p_3_3 @ SV31 )
| ( sym_q_2_2 @ SV31 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[239]) ).
thf(276,plain,
! [SV32: $i] :
( ( ( sym_q_2_3 @ SV32 )
= $false )
| ( ( ( sym_p_2_2 @ SV32 )
| ( sym_q_3_3 @ SV32 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[240]) ).
thf(277,plain,
! [SV33: $i] :
( ( ( sym_p_1_1 @ SV33 )
= $false )
| ( ( sym_p_1_2 @ SV33 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[241]) ).
thf(278,plain,
! [SV34: $i] :
( ( ( sym_q_1_1 @ SV34 )
= $false )
| ( ( sym_q_1_2 @ SV34 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[242]) ).
thf(279,plain,
! [SV35: $i] :
( ( ( sym_p_2_2 @ SV35 )
= $false )
| ( ( sym_p_1_2 @ SV35 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[243]) ).
thf(280,plain,
! [SV36: $i] :
( ( ( sym_p_3_3 @ SV36 )
= $false )
| ( ( sym_p_2_3 @ SV36 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[244]) ).
thf(281,plain,
! [SV37: $i] :
( ( ( sym_q_2_2 @ SV37 )
= $false )
| ( ( sym_q_1_2 @ SV37 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[245]) ).
thf(282,plain,
! [SV38: $i] :
( ( ( sym_q_3_3 @ SV38 )
= $false )
| ( ( sym_q_2_3 @ SV38 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[246]) ).
thf(283,plain,
! [SV2: $i] :
( ( ( p_2_2 @ SV2 )
= $false )
| ( ( ~ ( p_1_1 @ SV2 ) )
= $true )
| ( ( p_1_2 @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[247]) ).
thf(284,plain,
! [SV3: $i] :
( ( ( q_2_2 @ SV3 )
= $false )
| ( ( ~ ( q_1_1 @ SV3 ) )
= $true )
| ( ( p_1_2 @ SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[248]) ).
thf(285,plain,
! [SV4: $i] :
( ( ( p_2_3 @ SV4 )
= $false )
| ( ( ~ ( p_1_2 @ SV4 ) )
= $true )
| ( ( p_1_3 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[249]) ).
thf(286,plain,
! [SV5: $i] :
( ( ( q_2_3 @ SV5 )
= $false )
| ( ( ~ ( q_1_2 @ SV5 ) )
= $true )
| ( ( p_1_3 @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[250]) ).
thf(287,plain,
! [SV6: $i] :
( ( ( p_3_3 @ SV6 )
= $false )
| ( ( ~ ( p_2_2 @ SV6 ) )
= $true )
| ( ( p_2_3 @ SV6 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[251]) ).
thf(288,plain,
! [SV7: $i] :
( ( ( q_3_3 @ SV7 )
= $false )
| ( ( ~ ( q_2_2 @ SV7 ) )
= $true )
| ( ( p_2_3 @ SV7 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[252]) ).
thf(289,plain,
! [SV8: $i] :
( ( ( p_2_2 @ SV8 )
= $false )
| ( ( ~ ( q_1_1 @ SV8 ) )
= $true )
| ( ( q_1_2 @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[253]) ).
thf(290,plain,
! [SV9: $i] :
( ( ( q_2_2 @ SV9 )
= $false )
| ( ( ~ ( p_1_1 @ SV9 ) )
= $true )
| ( ( q_1_2 @ SV9 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[254]) ).
thf(291,plain,
! [SV10: $i] :
( ( ( p_2_3 @ SV10 )
= $false )
| ( ( ~ ( q_1_2 @ SV10 ) )
= $true )
| ( ( q_1_3 @ SV10 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[255]) ).
thf(292,plain,
! [SV11: $i] :
( ( ( q_2_3 @ SV11 )
= $false )
| ( ( ~ ( p_1_2 @ SV11 ) )
= $true )
| ( ( q_1_3 @ SV11 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[256]) ).
thf(293,plain,
! [SV12: $i] :
( ( ( p_3_3 @ SV12 )
= $false )
| ( ( ~ ( q_2_2 @ SV12 ) )
= $true )
| ( ( q_2_3 @ SV12 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[257]) ).
thf(294,plain,
! [SV13: $i] :
( ( ( q_3_3 @ SV13 )
= $false )
| ( ( ~ ( p_2_2 @ SV13 ) )
= $true )
| ( ( q_2_3 @ SV13 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[258]) ).
thf(295,plain,
! [SV21: $i] :
( ( ( sym_p_1_1 @ SV21 )
= $true )
| ( ( sym_p_2_2 @ SV21 )
= $true )
| ( ( sym_p_1_2 @ SV21 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[265]) ).
thf(296,plain,
! [SV22: $i] :
( ( ( sym_q_1_1 @ SV22 )
= $true )
| ( ( sym_q_2_2 @ SV22 )
= $true )
| ( ( sym_p_1_2 @ SV22 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[266]) ).
thf(297,plain,
! [SV23: $i] :
( ( ( sym_p_1_2 @ SV23 )
= $true )
| ( ( sym_p_2_3 @ SV23 )
= $true )
| ( ( sym_p_1_3 @ SV23 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[267]) ).
thf(298,plain,
! [SV24: $i] :
( ( ( sym_q_1_2 @ SV24 )
= $true )
| ( ( sym_q_2_3 @ SV24 )
= $true )
| ( ( sym_p_1_3 @ SV24 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[268]) ).
thf(299,plain,
! [SV25: $i] :
( ( ( sym_p_2_2 @ SV25 )
= $true )
| ( ( sym_p_3_3 @ SV25 )
= $true )
| ( ( sym_p_2_3 @ SV25 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[269]) ).
thf(300,plain,
! [SV26: $i] :
( ( ( sym_q_2_2 @ SV26 )
= $true )
| ( ( sym_q_3_3 @ SV26 )
= $true )
| ( ( sym_p_2_3 @ SV26 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[270]) ).
thf(301,plain,
! [SV27: $i] :
( ( ( sym_p_2_2 @ SV27 )
= $true )
| ( ( sym_q_1_1 @ SV27 )
= $true )
| ( ( sym_q_1_2 @ SV27 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[271]) ).
thf(302,plain,
! [SV28: $i] :
( ( ( sym_p_1_1 @ SV28 )
= $true )
| ( ( sym_q_2_2 @ SV28 )
= $true )
| ( ( sym_q_1_2 @ SV28 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[272]) ).
thf(303,plain,
! [SV29: $i] :
( ( ( sym_p_2_3 @ SV29 )
= $true )
| ( ( sym_q_1_2 @ SV29 )
= $true )
| ( ( sym_q_1_3 @ SV29 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[273]) ).
thf(304,plain,
! [SV30: $i] :
( ( ( sym_p_1_2 @ SV30 )
= $true )
| ( ( sym_q_2_3 @ SV30 )
= $true )
| ( ( sym_q_1_3 @ SV30 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[274]) ).
thf(305,plain,
! [SV31: $i] :
( ( ( sym_p_3_3 @ SV31 )
= $true )
| ( ( sym_q_2_2 @ SV31 )
= $true )
| ( ( sym_q_2_3 @ SV31 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[275]) ).
thf(306,plain,
! [SV32: $i] :
( ( ( sym_p_2_2 @ SV32 )
= $true )
| ( ( sym_q_3_3 @ SV32 )
= $true )
| ( ( sym_q_2_3 @ SV32 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[276]) ).
thf(307,plain,
! [SV2: $i] :
( ( ( p_1_1 @ SV2 )
= $false )
| ( ( p_2_2 @ SV2 )
= $false )
| ( ( p_1_2 @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[283]) ).
thf(308,plain,
! [SV3: $i] :
( ( ( q_1_1 @ SV3 )
= $false )
| ( ( q_2_2 @ SV3 )
= $false )
| ( ( p_1_2 @ SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[284]) ).
thf(309,plain,
! [SV4: $i] :
( ( ( p_1_2 @ SV4 )
= $false )
| ( ( p_2_3 @ SV4 )
= $false )
| ( ( p_1_3 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[285]) ).
thf(310,plain,
! [SV5: $i] :
( ( ( q_1_2 @ SV5 )
= $false )
| ( ( q_2_3 @ SV5 )
= $false )
| ( ( p_1_3 @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[286]) ).
thf(311,plain,
! [SV6: $i] :
( ( ( p_2_2 @ SV6 )
= $false )
| ( ( p_3_3 @ SV6 )
= $false )
| ( ( p_2_3 @ SV6 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[287]) ).
thf(312,plain,
! [SV7: $i] :
( ( ( q_2_2 @ SV7 )
= $false )
| ( ( q_3_3 @ SV7 )
= $false )
| ( ( p_2_3 @ SV7 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[288]) ).
thf(313,plain,
! [SV8: $i] :
( ( ( q_1_1 @ SV8 )
= $false )
| ( ( p_2_2 @ SV8 )
= $false )
| ( ( q_1_2 @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[289]) ).
thf(314,plain,
! [SV9: $i] :
( ( ( p_1_1 @ SV9 )
= $false )
| ( ( q_2_2 @ SV9 )
= $false )
| ( ( q_1_2 @ SV9 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[290]) ).
thf(315,plain,
! [SV10: $i] :
( ( ( q_1_2 @ SV10 )
= $false )
| ( ( p_2_3 @ SV10 )
= $false )
| ( ( q_1_3 @ SV10 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[291]) ).
thf(316,plain,
! [SV11: $i] :
( ( ( p_1_2 @ SV11 )
= $false )
| ( ( q_2_3 @ SV11 )
= $false )
| ( ( q_1_3 @ SV11 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[292]) ).
thf(317,plain,
! [SV12: $i] :
( ( ( q_2_2 @ SV12 )
= $false )
| ( ( p_3_3 @ SV12 )
= $false )
| ( ( q_2_3 @ SV12 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[293]) ).
thf(318,plain,
! [SV13: $i] :
( ( ( p_2_2 @ SV13 )
= $false )
| ( ( q_3_3 @ SV13 )
= $false )
| ( ( q_2_3 @ SV13 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[294]) ).
thf(319,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[133,318,317,316,315,314,313,312,311,310,309,308,307,306,305,304,303,302,301,300,299,298,297,296,295,282,281,280,279,278,277,264,263,262,261,260,259,210,209,208,207,206,205,204,203,184,138,137,136,135,134]) ).
thf(320,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[319]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN099-1.003 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.07/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.34 % Computer : n027.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jul 11 22:39:49 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.36
% 0.12/0.36 No.of.Axioms: 50
% 0.12/0.36
% 0.12/0.36 Length.of.Defs: 0
% 0.12/0.36
% 0.12/0.36 Contains.Choice.Funs: false
% 0.12/0.36 .
% 0.12/0.37 (rf:0,axioms:50,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:52,loop_count:0,foatp_calls:0,translation:fof_full).........
% 0.19/0.43
% 0.19/0.43 ********************************
% 0.19/0.43 * All subproblems solved! *
% 0.19/0.43 ********************************
% 0.19/0.43 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:50,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:319,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.19/0.46
% 0.19/0.46 %**** Beginning of derivation protocol ****
% 0.19/0.46 % SZS output start CNFRefutation
% See solution above
% 0.19/0.46
% 0.19/0.46 %**** End of derivation protocol ****
% 0.19/0.46 %**** no. of clauses in derivation: 320 ****
% 0.19/0.46 %**** clause counter: 319 ****
% 0.19/0.46
% 0.19/0.46 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:50,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:319,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------