TSTP Solution File: SYN098-1.002 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SYN098-1.002 : 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 : n023.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 08:23:35 EDT 2022
% Result : Unsatisfiable 0.18s 0.41s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 123
% Syntax : Number of formulae : 468 ( 153 unt; 54 typ; 0 def)
% Number of atoms : 2432 ( 647 equ; 0 cnn)
% Maximal formula atoms : 4 ( 5 avg)
% Number of connectives : 1156 ( 432 ~; 724 |; 0 &; 0 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 57 ( 54 usr; 56 con; 0-2 aty)
% Number of variables : 0 ( 0 ^ 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_p_0,type,
p_0: $o ).
thf(tp_p_1,type,
p_1: $o ).
thf(tp_p_2,type,
p_2: $o ).
thf(tp_p_3,type,
p_3: $o ).
thf(tp_p_4,type,
p_4: $o ).
thf(tp_q_0,type,
q_0: $o ).
thf(tp_q_1,type,
q_1: $o ).
thf(tp_q_2,type,
q_2: $o ).
thf(tp_q_3,type,
q_3: $o ).
thf(tp_q_4,type,
q_4: $o ).
thf(tp_sym_p_0,type,
sym_p_0: $o ).
thf(tp_sym_p_1,type,
sym_p_1: $o ).
thf(tp_sym_p_2,type,
sym_p_2: $o ).
thf(tp_sym_p_3,type,
sym_p_3: $o ).
thf(tp_sym_p_4,type,
sym_p_4: $o ).
thf(tp_sym_q_0,type,
sym_q_0: $o ).
thf(tp_sym_q_1,type,
sym_q_1: $o ).
thf(tp_sym_q_2,type,
sym_q_2: $o ).
thf(tp_sym_q_3,type,
sym_q_3: $o ).
thf(tp_sym_q_4,type,
sym_q_4: $o ).
thf(tp_sym_u_1,type,
sym_u_1: $o ).
thf(tp_sym_u_10,type,
sym_u_10: $o ).
thf(tp_sym_u_11,type,
sym_u_11: $o ).
thf(tp_sym_u_12,type,
sym_u_12: $o ).
thf(tp_sym_u_13,type,
sym_u_13: $o ).
thf(tp_sym_u_14,type,
sym_u_14: $o ).
thf(tp_sym_u_15,type,
sym_u_15: $o ).
thf(tp_sym_u_16,type,
sym_u_16: $o ).
thf(tp_sym_u_17,type,
sym_u_17: $o ).
thf(tp_sym_u_2,type,
sym_u_2: $o ).
thf(tp_sym_u_3,type,
sym_u_3: $o ).
thf(tp_sym_u_4,type,
sym_u_4: $o ).
thf(tp_sym_u_5,type,
sym_u_5: $o ).
thf(tp_sym_u_6,type,
sym_u_6: $o ).
thf(tp_sym_u_7,type,
sym_u_7: $o ).
thf(tp_sym_u_8,type,
sym_u_8: $o ).
thf(tp_sym_u_9,type,
sym_u_9: $o ).
thf(tp_u_1,type,
u_1: $o ).
thf(tp_u_10,type,
u_10: $o ).
thf(tp_u_11,type,
u_11: $o ).
thf(tp_u_12,type,
u_12: $o ).
thf(tp_u_13,type,
u_13: $o ).
thf(tp_u_14,type,
u_14: $o ).
thf(tp_u_15,type,
u_15: $o ).
thf(tp_u_16,type,
u_16: $o ).
thf(tp_u_17,type,
u_17: $o ).
thf(tp_u_2,type,
u_2: $o ).
thf(tp_u_3,type,
u_3: $o ).
thf(tp_u_4,type,
u_4: $o ).
thf(tp_u_5,type,
u_5: $o ).
thf(tp_u_6,type,
u_6: $o ).
thf(tp_u_7,type,
u_7: $o ).
thf(tp_u_8,type,
u_8: $o ).
thf(tp_u_9,type,
u_9: $o ).
thf(1,axiom,
( ~ sym_q_3
| sym_u_17 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sym_u_17_t3_4) ).
thf(2,axiom,
( ~ sym_u_17
| ~ sym_q_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sym_u_t3_4) ).
thf(3,axiom,
( ~ sym_q_2
| sym_u_16 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sym_u_16_t3_3) ).
thf(4,axiom,
( ~ sym_u_16
| ~ sym_q_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sym_u_t3_3) ).
thf(5,axiom,
( ~ sym_p_3
| sym_u_15 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sym_u_15_t3_2) ).
thf(6,axiom,
( ~ sym_u_15
| ~ sym_p_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sym_u_t3_2) ).
thf(7,axiom,
( ~ sym_p_2
| sym_u_14 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sym_u_14_t3_1) ).
thf(8,axiom,
( ~ sym_u_14
| ~ sym_p_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sym_u_t3_1) ).
thf(9,axiom,
( ~ sym_q_4
| sym_u_13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sym_u_13_s3_type2_4) ).
thf(10,axiom,
( ~ sym_u_13
| ~ sym_q_4
| sym_q_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sym_u_s3_type2_4) ).
thf(11,axiom,
( ~ sym_q_3
| sym_u_12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sym_u_12_s3_type2_3) ).
thf(12,axiom,
( ~ sym_u_12
| ~ sym_q_3
| sym_q_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sym_u_s3_type2_3) ).
thf(13,axiom,
( ~ sym_p_4
| sym_u_11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sym_u_11_s3_type2_2) ).
thf(14,axiom,
( ~ sym_u_11
| ~ sym_p_4
| sym_p_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sym_u_s3_type2_2) ).
thf(15,axiom,
( ~ sym_p_3
| sym_u_10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sym_u_10_s3_type2_1) ).
thf(16,axiom,
( ~ sym_u_10
| ~ sym_p_3
| sym_p_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sym_u_s3_type2_1) ).
thf(17,axiom,
( ~ sym_q_1
| sym_u_9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sym_u_9_s3_type12_4) ).
thf(18,axiom,
( ~ sym_u_9
| ~ sym_q_1
| sym_q_2
| sym_p_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sym_u_s3_type12_4) ).
thf(19,axiom,
( ~ sym_q_1
| sym_u_8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sym_u_8_s3_type12_3) ).
thf(20,axiom,
( ~ sym_u_8
| ~ sym_q_1
| sym_p_2
| sym_q_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sym_u_s3_type12_3) ).
thf(21,axiom,
( ~ sym_q_0
| sym_u_7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sym_u_7_s3_type12_2) ).
thf(22,axiom,
( ~ sym_u_7
| ~ sym_q_0
| sym_q_1
| sym_p_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sym_u_s3_type12_2) ).
thf(23,axiom,
( ~ sym_q_0
| sym_u_6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sym_u_6_s3_type12_1) ).
thf(24,axiom,
( ~ sym_u_6
| ~ sym_q_0
| sym_p_1
| sym_q_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sym_u_s3_type12_1) ).
thf(25,axiom,
( ~ sym_p_1
| sym_u_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sym_u_5_s3_type11_4) ).
thf(26,axiom,
( ~ sym_u_5
| ~ sym_p_1
| sym_q_2
| sym_q_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sym_u_s3_type11_4) ).
thf(27,axiom,
( ~ sym_p_1
| sym_u_4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sym_u_4_s3_type11_3) ).
thf(28,axiom,
( ~ sym_u_4
| ~ sym_p_1
| sym_p_2
| sym_p_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sym_u_s3_type11_3) ).
thf(29,axiom,
( ~ sym_p_0
| sym_u_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sym_u_3_s3_type11_2) ).
thf(30,axiom,
( ~ sym_u_3
| ~ sym_p_0
| sym_q_1
| sym_q_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sym_u_s3_type11_2) ).
thf(31,axiom,
( ~ sym_p_0
| sym_u_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sym_u_2_s3_type11_1) ).
thf(32,axiom,
( ~ sym_u_2
| ~ sym_p_0
| sym_p_1
| sym_p_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sym_u_s3_type11_1) ).
thf(33,axiom,
sym_u_1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sym_u_1_s3_goal_1) ).
thf(34,axiom,
( ~ sym_u_1
| sym_p_0
| sym_q_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sym_u_s3_goal_1) ).
thf(35,axiom,
( q_3
| ~ u_17 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_17_t3_4) ).
thf(36,axiom,
( u_17
| q_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_t3_4) ).
thf(37,axiom,
( q_2
| ~ u_16 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_16_t3_3) ).
thf(38,axiom,
( u_16
| q_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_t3_3) ).
thf(39,axiom,
( p_3
| ~ u_15 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_15_t3_2) ).
thf(40,axiom,
( u_15
| p_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_t3_2) ).
thf(41,axiom,
( p_2
| ~ u_14 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_14_t3_1) ).
thf(42,axiom,
( u_14
| p_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_t3_1) ).
thf(43,axiom,
( q_4
| ~ u_13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_13_s3_type2_4) ).
thf(44,axiom,
( u_13
| q_4
| ~ q_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_s3_type2_4) ).
thf(45,axiom,
( q_3
| ~ u_12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_12_s3_type2_3) ).
thf(46,axiom,
( u_12
| q_3
| ~ q_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_s3_type2_3) ).
thf(47,axiom,
( p_4
| ~ u_11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_11_s3_type2_2) ).
thf(48,axiom,
( u_11
| p_4
| ~ p_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_s3_type2_2) ).
thf(49,axiom,
( p_3
| ~ u_10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_10_s3_type2_1) ).
thf(50,axiom,
( u_10
| p_3
| ~ p_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_s3_type2_1) ).
thf(51,axiom,
( q_1
| ~ u_9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_9_s3_type12_4) ).
thf(52,axiom,
( u_9
| q_1
| ~ q_2
| ~ p_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_s3_type12_4) ).
thf(53,axiom,
( q_1
| ~ u_8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_8_s3_type12_3) ).
thf(54,axiom,
( u_8
| q_1
| ~ p_2
| ~ q_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_s3_type12_3) ).
thf(55,axiom,
( q_0
| ~ u_7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_7_s3_type12_2) ).
thf(56,axiom,
( u_7
| q_0
| ~ q_1
| ~ p_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_s3_type12_2) ).
thf(57,axiom,
( q_0
| ~ u_6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_6_s3_type12_1) ).
thf(58,axiom,
( u_6
| q_0
| ~ p_1
| ~ q_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_s3_type12_1) ).
thf(59,axiom,
( p_1
| ~ u_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_5_s3_type11_4) ).
thf(60,axiom,
( u_5
| p_1
| ~ q_2
| ~ q_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_s3_type11_4) ).
thf(61,axiom,
( p_1
| ~ u_4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_4_s3_type11_3) ).
thf(62,axiom,
( u_4
| p_1
| ~ p_2
| ~ p_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_s3_type11_3) ).
thf(63,axiom,
( p_0
| ~ u_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_3_s3_type11_2) ).
thf(64,axiom,
( u_3
| p_0
| ~ q_1
| ~ q_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_s3_type11_2) ).
thf(65,axiom,
( p_0
| ~ u_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_2_s3_type11_1) ).
thf(66,axiom,
( u_2
| p_0
| ~ p_1
| ~ p_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_s3_type11_1) ).
thf(67,axiom,
~ u_1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_1_s3_goal_1) ).
thf(68,conjecture,
$false,
file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).
thf(69,negated_conjecture,
$false = $false,
inference(negate_conjecture,[status(cth)],[68]) ).
thf(70,negated_conjecture,
( u_1
| ~ p_0
| ~ q_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_s3_goal_1) ).
thf(71,plain,
$false = $false,
inference(unfold_def,[status(thm)],[69]) ).
thf(72,plain,
( ( ~ sym_q_3
| sym_u_17 )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(73,plain,
( ( ~ sym_u_17
| ~ sym_q_3 )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(74,plain,
( ( ~ sym_q_2
| sym_u_16 )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(75,plain,
( ( ~ sym_u_16
| ~ sym_q_2 )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(76,plain,
( ( ~ sym_p_3
| sym_u_15 )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(77,plain,
( ( ~ sym_u_15
| ~ sym_p_3 )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(78,plain,
( ( ~ sym_p_2
| sym_u_14 )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(79,plain,
( ( ~ sym_u_14
| ~ sym_p_2 )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(80,plain,
( ( ~ sym_q_4
| sym_u_13 )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(81,plain,
( ( ~ sym_u_13
| ~ sym_q_4
| sym_q_2 )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(82,plain,
( ( ~ sym_q_3
| sym_u_12 )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(83,plain,
( ( ~ sym_u_12
| ~ sym_q_3
| sym_q_1 )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(84,plain,
( ( ~ sym_p_4
| sym_u_11 )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(85,plain,
( ( ~ sym_u_11
| ~ sym_p_4
| sym_p_2 )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(86,plain,
( ( ~ sym_p_3
| sym_u_10 )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(87,plain,
( ( ~ sym_u_10
| ~ sym_p_3
| sym_p_1 )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(88,plain,
( ( ~ sym_q_1
| sym_u_9 )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(89,plain,
( ( ~ sym_u_9
| ~ sym_q_1
| sym_q_2
| sym_p_3 )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(90,plain,
( ( ~ sym_q_1
| sym_u_8 )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(91,plain,
( ( ~ sym_u_8
| ~ sym_q_1
| sym_p_2
| sym_q_3 )
= $true ),
inference(unfold_def,[status(thm)],[20]) ).
thf(92,plain,
( ( ~ sym_q_0
| sym_u_7 )
= $true ),
inference(unfold_def,[status(thm)],[21]) ).
thf(93,plain,
( ( ~ sym_u_7
| ~ sym_q_0
| sym_q_1
| sym_p_2 )
= $true ),
inference(unfold_def,[status(thm)],[22]) ).
thf(94,plain,
( ( ~ sym_q_0
| sym_u_6 )
= $true ),
inference(unfold_def,[status(thm)],[23]) ).
thf(95,plain,
( ( ~ sym_u_6
| ~ sym_q_0
| sym_p_1
| sym_q_2 )
= $true ),
inference(unfold_def,[status(thm)],[24]) ).
thf(96,plain,
( ( ~ sym_p_1
| sym_u_5 )
= $true ),
inference(unfold_def,[status(thm)],[25]) ).
thf(97,plain,
( ( ~ sym_u_5
| ~ sym_p_1
| sym_q_2
| sym_q_3 )
= $true ),
inference(unfold_def,[status(thm)],[26]) ).
thf(98,plain,
( ( ~ sym_p_1
| sym_u_4 )
= $true ),
inference(unfold_def,[status(thm)],[27]) ).
thf(99,plain,
( ( ~ sym_u_4
| ~ sym_p_1
| sym_p_2
| sym_p_3 )
= $true ),
inference(unfold_def,[status(thm)],[28]) ).
thf(100,plain,
( ( ~ sym_p_0
| sym_u_3 )
= $true ),
inference(unfold_def,[status(thm)],[29]) ).
thf(101,plain,
( ( ~ sym_u_3
| ~ sym_p_0
| sym_q_1
| sym_q_2 )
= $true ),
inference(unfold_def,[status(thm)],[30]) ).
thf(102,plain,
( ( ~ sym_p_0
| sym_u_2 )
= $true ),
inference(unfold_def,[status(thm)],[31]) ).
thf(103,plain,
( ( ~ sym_u_2
| ~ sym_p_0
| sym_p_1
| sym_p_2 )
= $true ),
inference(unfold_def,[status(thm)],[32]) ).
thf(104,plain,
sym_u_1 = $true,
inference(unfold_def,[status(thm)],[33]) ).
thf(105,plain,
( ( ~ sym_u_1
| sym_p_0
| sym_q_0 )
= $true ),
inference(unfold_def,[status(thm)],[34]) ).
thf(106,plain,
( ( q_3
| ~ u_17 )
= $true ),
inference(unfold_def,[status(thm)],[35]) ).
thf(107,plain,
( ( u_17
| q_3 )
= $true ),
inference(unfold_def,[status(thm)],[36]) ).
thf(108,plain,
( ( q_2
| ~ u_16 )
= $true ),
inference(unfold_def,[status(thm)],[37]) ).
thf(109,plain,
( ( u_16
| q_2 )
= $true ),
inference(unfold_def,[status(thm)],[38]) ).
thf(110,plain,
( ( p_3
| ~ u_15 )
= $true ),
inference(unfold_def,[status(thm)],[39]) ).
thf(111,plain,
( ( u_15
| p_3 )
= $true ),
inference(unfold_def,[status(thm)],[40]) ).
thf(112,plain,
( ( p_2
| ~ u_14 )
= $true ),
inference(unfold_def,[status(thm)],[41]) ).
thf(113,plain,
( ( u_14
| p_2 )
= $true ),
inference(unfold_def,[status(thm)],[42]) ).
thf(114,plain,
( ( q_4
| ~ u_13 )
= $true ),
inference(unfold_def,[status(thm)],[43]) ).
thf(115,plain,
( ( u_13
| q_4
| ~ q_2 )
= $true ),
inference(unfold_def,[status(thm)],[44]) ).
thf(116,plain,
( ( q_3
| ~ u_12 )
= $true ),
inference(unfold_def,[status(thm)],[45]) ).
thf(117,plain,
( ( u_12
| q_3
| ~ q_1 )
= $true ),
inference(unfold_def,[status(thm)],[46]) ).
thf(118,plain,
( ( p_4
| ~ u_11 )
= $true ),
inference(unfold_def,[status(thm)],[47]) ).
thf(119,plain,
( ( u_11
| p_4
| ~ p_2 )
= $true ),
inference(unfold_def,[status(thm)],[48]) ).
thf(120,plain,
( ( p_3
| ~ u_10 )
= $true ),
inference(unfold_def,[status(thm)],[49]) ).
thf(121,plain,
( ( u_10
| p_3
| ~ p_1 )
= $true ),
inference(unfold_def,[status(thm)],[50]) ).
thf(122,plain,
( ( q_1
| ~ u_9 )
= $true ),
inference(unfold_def,[status(thm)],[51]) ).
thf(123,plain,
( ( u_9
| q_1
| ~ q_2
| ~ p_3 )
= $true ),
inference(unfold_def,[status(thm)],[52]) ).
thf(124,plain,
( ( q_1
| ~ u_8 )
= $true ),
inference(unfold_def,[status(thm)],[53]) ).
thf(125,plain,
( ( u_8
| q_1
| ~ p_2
| ~ q_3 )
= $true ),
inference(unfold_def,[status(thm)],[54]) ).
thf(126,plain,
( ( q_0
| ~ u_7 )
= $true ),
inference(unfold_def,[status(thm)],[55]) ).
thf(127,plain,
( ( u_7
| q_0
| ~ q_1
| ~ p_2 )
= $true ),
inference(unfold_def,[status(thm)],[56]) ).
thf(128,plain,
( ( q_0
| ~ u_6 )
= $true ),
inference(unfold_def,[status(thm)],[57]) ).
thf(129,plain,
( ( u_6
| q_0
| ~ p_1
| ~ q_2 )
= $true ),
inference(unfold_def,[status(thm)],[58]) ).
thf(130,plain,
( ( p_1
| ~ u_5 )
= $true ),
inference(unfold_def,[status(thm)],[59]) ).
thf(131,plain,
( ( u_5
| p_1
| ~ q_2
| ~ q_3 )
= $true ),
inference(unfold_def,[status(thm)],[60]) ).
thf(132,plain,
( ( p_1
| ~ u_4 )
= $true ),
inference(unfold_def,[status(thm)],[61]) ).
thf(133,plain,
( ( u_4
| p_1
| ~ p_2
| ~ p_3 )
= $true ),
inference(unfold_def,[status(thm)],[62]) ).
thf(134,plain,
( ( p_0
| ~ u_3 )
= $true ),
inference(unfold_def,[status(thm)],[63]) ).
thf(135,plain,
( ( u_3
| p_0
| ~ q_1
| ~ q_2 )
= $true ),
inference(unfold_def,[status(thm)],[64]) ).
thf(136,plain,
( ( p_0
| ~ u_2 )
= $true ),
inference(unfold_def,[status(thm)],[65]) ).
thf(137,plain,
( ( u_2
| p_0
| ~ p_1
| ~ p_2 )
= $true ),
inference(unfold_def,[status(thm)],[66]) ).
thf(138,plain,
( ( ~ u_1 )
= $true ),
inference(unfold_def,[status(thm)],[67]) ).
thf(139,plain,
( ( u_1
| ~ p_0
| ~ q_0 )
= $true ),
inference(unfold_def,[status(thm)],[70]) ).
thf(140,plain,
( ( ~ $false )
= $true ),
inference(polarity_switch,[status(thm)],[71]) ).
thf(141,plain,
( ( ~ sym_u_9
| ~ sym_q_1
| sym_p_3
| sym_q_2 )
= $true ),
inference(extcnf_combined,[status(esa)],[89]) ).
thf(142,plain,
( ( ~ sym_u_7
| ~ sym_q_0
| sym_p_2
| sym_q_1 )
= $true ),
inference(extcnf_combined,[status(esa)],[93]) ).
thf(143,plain,
( ( q_3
| u_17 )
= $true ),
inference(extcnf_combined,[status(esa)],[107]) ).
thf(144,plain,
( ( q_2
| u_16 )
= $true ),
inference(extcnf_combined,[status(esa)],[109]) ).
thf(145,plain,
( ( p_3
| u_15 )
= $true ),
inference(extcnf_combined,[status(esa)],[111]) ).
thf(146,plain,
( ( p_2
| u_14 )
= $true ),
inference(extcnf_combined,[status(esa)],[113]) ).
thf(147,plain,
( ( u_1
| ~ p_0
| ~ q_0 )
= $true ),
inference(copy,[status(thm)],[139]) ).
thf(148,plain,
( ( ~ u_1 )
= $true ),
inference(copy,[status(thm)],[138]) ).
thf(149,plain,
( ( u_2
| p_0
| ~ p_1
| ~ p_2 )
= $true ),
inference(copy,[status(thm)],[137]) ).
thf(150,plain,
( ( p_0
| ~ u_2 )
= $true ),
inference(copy,[status(thm)],[136]) ).
thf(151,plain,
( ( u_3
| p_0
| ~ q_1
| ~ q_2 )
= $true ),
inference(copy,[status(thm)],[135]) ).
thf(152,plain,
( ( p_0
| ~ u_3 )
= $true ),
inference(copy,[status(thm)],[134]) ).
thf(153,plain,
( ( u_4
| p_1
| ~ p_2
| ~ p_3 )
= $true ),
inference(copy,[status(thm)],[133]) ).
thf(154,plain,
( ( p_1
| ~ u_4 )
= $true ),
inference(copy,[status(thm)],[132]) ).
thf(155,plain,
( ( u_5
| p_1
| ~ q_2
| ~ q_3 )
= $true ),
inference(copy,[status(thm)],[131]) ).
thf(156,plain,
( ( p_1
| ~ u_5 )
= $true ),
inference(copy,[status(thm)],[130]) ).
thf(157,plain,
( ( u_6
| q_0
| ~ p_1
| ~ q_2 )
= $true ),
inference(copy,[status(thm)],[129]) ).
thf(158,plain,
( ( q_0
| ~ u_6 )
= $true ),
inference(copy,[status(thm)],[128]) ).
thf(159,plain,
( ( u_7
| q_0
| ~ q_1
| ~ p_2 )
= $true ),
inference(copy,[status(thm)],[127]) ).
thf(160,plain,
( ( q_0
| ~ u_7 )
= $true ),
inference(copy,[status(thm)],[126]) ).
thf(161,plain,
( ( u_8
| q_1
| ~ p_2
| ~ q_3 )
= $true ),
inference(copy,[status(thm)],[125]) ).
thf(162,plain,
( ( q_1
| ~ u_8 )
= $true ),
inference(copy,[status(thm)],[124]) ).
thf(163,plain,
( ( u_9
| q_1
| ~ q_2
| ~ p_3 )
= $true ),
inference(copy,[status(thm)],[123]) ).
thf(164,plain,
( ( q_1
| ~ u_9 )
= $true ),
inference(copy,[status(thm)],[122]) ).
thf(165,plain,
( ( u_10
| p_3
| ~ p_1 )
= $true ),
inference(copy,[status(thm)],[121]) ).
thf(166,plain,
( ( p_3
| ~ u_10 )
= $true ),
inference(copy,[status(thm)],[120]) ).
thf(167,plain,
( ( u_11
| p_4
| ~ p_2 )
= $true ),
inference(copy,[status(thm)],[119]) ).
thf(168,plain,
( ( p_4
| ~ u_11 )
= $true ),
inference(copy,[status(thm)],[118]) ).
thf(169,plain,
( ( u_12
| q_3
| ~ q_1 )
= $true ),
inference(copy,[status(thm)],[117]) ).
thf(170,plain,
( ( q_3
| ~ u_12 )
= $true ),
inference(copy,[status(thm)],[116]) ).
thf(171,plain,
( ( u_13
| q_4
| ~ q_2 )
= $true ),
inference(copy,[status(thm)],[115]) ).
thf(172,plain,
( ( q_4
| ~ u_13 )
= $true ),
inference(copy,[status(thm)],[114]) ).
thf(173,plain,
( ( p_2
| u_14 )
= $true ),
inference(copy,[status(thm)],[146]) ).
thf(174,plain,
( ( p_2
| ~ u_14 )
= $true ),
inference(copy,[status(thm)],[112]) ).
thf(175,plain,
( ( p_3
| u_15 )
= $true ),
inference(copy,[status(thm)],[145]) ).
thf(176,plain,
( ( p_3
| ~ u_15 )
= $true ),
inference(copy,[status(thm)],[110]) ).
thf(177,plain,
( ( q_2
| u_16 )
= $true ),
inference(copy,[status(thm)],[144]) ).
thf(178,plain,
( ( q_2
| ~ u_16 )
= $true ),
inference(copy,[status(thm)],[108]) ).
thf(179,plain,
( ( q_3
| u_17 )
= $true ),
inference(copy,[status(thm)],[143]) ).
thf(180,plain,
( ( q_3
| ~ u_17 )
= $true ),
inference(copy,[status(thm)],[106]) ).
thf(181,plain,
( ( ~ sym_u_1
| sym_p_0
| sym_q_0 )
= $true ),
inference(copy,[status(thm)],[105]) ).
thf(182,plain,
sym_u_1 = $true,
inference(copy,[status(thm)],[104]) ).
thf(183,plain,
( ( ~ sym_u_2
| ~ sym_p_0
| sym_p_1
| sym_p_2 )
= $true ),
inference(copy,[status(thm)],[103]) ).
thf(184,plain,
( ( ~ sym_p_0
| sym_u_2 )
= $true ),
inference(copy,[status(thm)],[102]) ).
thf(185,plain,
( ( ~ sym_u_3
| ~ sym_p_0
| sym_q_1
| sym_q_2 )
= $true ),
inference(copy,[status(thm)],[101]) ).
thf(186,plain,
( ( ~ sym_p_0
| sym_u_3 )
= $true ),
inference(copy,[status(thm)],[100]) ).
thf(187,plain,
( ( ~ sym_u_4
| ~ sym_p_1
| sym_p_2
| sym_p_3 )
= $true ),
inference(copy,[status(thm)],[99]) ).
thf(188,plain,
( ( ~ sym_p_1
| sym_u_4 )
= $true ),
inference(copy,[status(thm)],[98]) ).
thf(189,plain,
( ( ~ sym_u_5
| ~ sym_p_1
| sym_q_2
| sym_q_3 )
= $true ),
inference(copy,[status(thm)],[97]) ).
thf(190,plain,
( ( ~ sym_p_1
| sym_u_5 )
= $true ),
inference(copy,[status(thm)],[96]) ).
thf(191,plain,
( ( ~ sym_u_6
| ~ sym_q_0
| sym_p_1
| sym_q_2 )
= $true ),
inference(copy,[status(thm)],[95]) ).
thf(192,plain,
( ( ~ sym_q_0
| sym_u_6 )
= $true ),
inference(copy,[status(thm)],[94]) ).
thf(193,plain,
( ( ~ sym_u_7
| ~ sym_q_0
| sym_p_2
| sym_q_1 )
= $true ),
inference(copy,[status(thm)],[142]) ).
thf(194,plain,
( ( ~ sym_q_0
| sym_u_7 )
= $true ),
inference(copy,[status(thm)],[92]) ).
thf(195,plain,
( ( ~ sym_u_8
| ~ sym_q_1
| sym_p_2
| sym_q_3 )
= $true ),
inference(copy,[status(thm)],[91]) ).
thf(196,plain,
( ( ~ sym_q_1
| sym_u_8 )
= $true ),
inference(copy,[status(thm)],[90]) ).
thf(197,plain,
( ( ~ sym_u_9
| ~ sym_q_1
| sym_p_3
| sym_q_2 )
= $true ),
inference(copy,[status(thm)],[141]) ).
thf(198,plain,
( ( ~ sym_q_1
| sym_u_9 )
= $true ),
inference(copy,[status(thm)],[88]) ).
thf(199,plain,
( ( ~ sym_u_10
| ~ sym_p_3
| sym_p_1 )
= $true ),
inference(copy,[status(thm)],[87]) ).
thf(200,plain,
( ( ~ sym_p_3
| sym_u_10 )
= $true ),
inference(copy,[status(thm)],[86]) ).
thf(201,plain,
( ( ~ sym_u_11
| ~ sym_p_4
| sym_p_2 )
= $true ),
inference(copy,[status(thm)],[85]) ).
thf(202,plain,
( ( ~ sym_p_4
| sym_u_11 )
= $true ),
inference(copy,[status(thm)],[84]) ).
thf(203,plain,
( ( ~ sym_u_12
| ~ sym_q_3
| sym_q_1 )
= $true ),
inference(copy,[status(thm)],[83]) ).
thf(204,plain,
( ( ~ sym_q_3
| sym_u_12 )
= $true ),
inference(copy,[status(thm)],[82]) ).
thf(205,plain,
( ( ~ sym_u_13
| ~ sym_q_4
| sym_q_2 )
= $true ),
inference(copy,[status(thm)],[81]) ).
thf(206,plain,
( ( ~ sym_q_4
| sym_u_13 )
= $true ),
inference(copy,[status(thm)],[80]) ).
thf(207,plain,
( ( ~ sym_u_14
| ~ sym_p_2 )
= $true ),
inference(copy,[status(thm)],[79]) ).
thf(208,plain,
( ( ~ sym_p_2
| sym_u_14 )
= $true ),
inference(copy,[status(thm)],[78]) ).
thf(209,plain,
( ( ~ sym_u_15
| ~ sym_p_3 )
= $true ),
inference(copy,[status(thm)],[77]) ).
thf(210,plain,
( ( ~ sym_p_3
| sym_u_15 )
= $true ),
inference(copy,[status(thm)],[76]) ).
thf(211,plain,
( ( ~ sym_u_16
| ~ sym_q_2 )
= $true ),
inference(copy,[status(thm)],[75]) ).
thf(212,plain,
( ( ~ sym_q_2
| sym_u_16 )
= $true ),
inference(copy,[status(thm)],[74]) ).
thf(213,plain,
( ( ~ sym_u_17
| ~ sym_q_3 )
= $true ),
inference(copy,[status(thm)],[73]) ).
thf(214,plain,
( ( ~ sym_q_3
| sym_u_17 )
= $true ),
inference(copy,[status(thm)],[72]) ).
thf(215,plain,
( ( ~ $false )
= $true ),
inference(copy,[status(thm)],[140]) ).
thf(216,plain,
( ( u_1 = $true )
| ( ( ~ p_0
| ~ q_0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[147]) ).
thf(217,plain,
u_1 = $false,
inference(extcnf_not_pos,[status(thm)],[148]) ).
thf(218,plain,
( ( u_2 = $true )
| ( ( p_0
| ~ p_1
| ~ p_2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[149]) ).
thf(219,plain,
( ( p_0 = $true )
| ( ( ~ u_2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[150]) ).
thf(220,plain,
( ( u_3 = $true )
| ( ( p_0
| ~ q_1
| ~ q_2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[151]) ).
thf(221,plain,
( ( p_0 = $true )
| ( ( ~ u_3 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[152]) ).
thf(222,plain,
( ( u_4 = $true )
| ( ( p_1
| ~ p_2
| ~ p_3 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[153]) ).
thf(223,plain,
( ( p_1 = $true )
| ( ( ~ u_4 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[154]) ).
thf(224,plain,
( ( u_5 = $true )
| ( ( p_1
| ~ q_2
| ~ q_3 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[155]) ).
thf(225,plain,
( ( p_1 = $true )
| ( ( ~ u_5 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[156]) ).
thf(226,plain,
( ( u_6 = $true )
| ( ( q_0
| ~ p_1
| ~ q_2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[157]) ).
thf(227,plain,
( ( q_0 = $true )
| ( ( ~ u_6 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[158]) ).
thf(228,plain,
( ( u_7 = $true )
| ( ( q_0
| ~ q_1
| ~ p_2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[159]) ).
thf(229,plain,
( ( q_0 = $true )
| ( ( ~ u_7 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[160]) ).
thf(230,plain,
( ( u_8 = $true )
| ( ( q_1
| ~ p_2
| ~ q_3 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[161]) ).
thf(231,plain,
( ( q_1 = $true )
| ( ( ~ u_8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[162]) ).
thf(232,plain,
( ( u_9 = $true )
| ( ( q_1
| ~ q_2
| ~ p_3 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[163]) ).
thf(233,plain,
( ( q_1 = $true )
| ( ( ~ u_9 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[164]) ).
thf(234,plain,
( ( u_10 = $true )
| ( ( p_3
| ~ p_1 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[165]) ).
thf(235,plain,
( ( p_3 = $true )
| ( ( ~ u_10 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[166]) ).
thf(236,plain,
( ( u_11 = $true )
| ( ( p_4
| ~ p_2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[167]) ).
thf(237,plain,
( ( p_4 = $true )
| ( ( ~ u_11 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[168]) ).
thf(238,plain,
( ( u_12 = $true )
| ( ( q_3
| ~ q_1 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[169]) ).
thf(239,plain,
( ( q_3 = $true )
| ( ( ~ u_12 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[170]) ).
thf(240,plain,
( ( u_13 = $true )
| ( ( q_4
| ~ q_2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[171]) ).
thf(241,plain,
( ( q_4 = $true )
| ( ( ~ u_13 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[172]) ).
thf(242,plain,
( ( p_2 = $true )
| ( u_14 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[173]) ).
thf(243,plain,
( ( p_2 = $true )
| ( ( ~ u_14 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[174]) ).
thf(244,plain,
( ( p_3 = $true )
| ( u_15 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[175]) ).
thf(245,plain,
( ( p_3 = $true )
| ( ( ~ u_15 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[176]) ).
thf(246,plain,
( ( q_2 = $true )
| ( u_16 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[177]) ).
thf(247,plain,
( ( q_2 = $true )
| ( ( ~ u_16 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[178]) ).
thf(248,plain,
( ( q_3 = $true )
| ( u_17 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[179]) ).
thf(249,plain,
( ( q_3 = $true )
| ( ( ~ u_17 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[180]) ).
thf(250,plain,
( ( ( ~ sym_u_1 )
= $true )
| ( ( sym_p_0
| sym_q_0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[181]) ).
thf(251,plain,
( ( ( ~ sym_u_2 )
= $true )
| ( ( ~ sym_p_0
| sym_p_1
| sym_p_2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[183]) ).
thf(252,plain,
( ( ( ~ sym_p_0 )
= $true )
| ( sym_u_2 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[184]) ).
thf(253,plain,
( ( ( ~ sym_u_3 )
= $true )
| ( ( ~ sym_p_0
| sym_q_1
| sym_q_2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[185]) ).
thf(254,plain,
( ( ( ~ sym_p_0 )
= $true )
| ( sym_u_3 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[186]) ).
thf(255,plain,
( ( ( ~ sym_u_4 )
= $true )
| ( ( ~ sym_p_1
| sym_p_2
| sym_p_3 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[187]) ).
thf(256,plain,
( ( ( ~ sym_p_1 )
= $true )
| ( sym_u_4 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[188]) ).
thf(257,plain,
( ( ( ~ sym_u_5 )
= $true )
| ( ( ~ sym_p_1
| sym_q_2
| sym_q_3 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[189]) ).
thf(258,plain,
( ( ( ~ sym_p_1 )
= $true )
| ( sym_u_5 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[190]) ).
thf(259,plain,
( ( ( ~ sym_u_6 )
= $true )
| ( ( ~ sym_q_0
| sym_p_1
| sym_q_2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[191]) ).
thf(260,plain,
( ( ( ~ sym_q_0 )
= $true )
| ( sym_u_6 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[192]) ).
thf(261,plain,
( ( ( ~ sym_u_7 )
= $true )
| ( ( ~ sym_q_0
| sym_p_2
| sym_q_1 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[193]) ).
thf(262,plain,
( ( ( ~ sym_q_0 )
= $true )
| ( sym_u_7 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[194]) ).
thf(263,plain,
( ( ( ~ sym_u_8 )
= $true )
| ( ( ~ sym_q_1
| sym_p_2
| sym_q_3 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[195]) ).
thf(264,plain,
( ( ( ~ sym_q_1 )
= $true )
| ( sym_u_8 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[196]) ).
thf(265,plain,
( ( ( ~ sym_u_9 )
= $true )
| ( ( ~ sym_q_1
| sym_p_3
| sym_q_2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[197]) ).
thf(266,plain,
( ( ( ~ sym_q_1 )
= $true )
| ( sym_u_9 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[198]) ).
thf(267,plain,
( ( ( ~ sym_u_10 )
= $true )
| ( ( ~ sym_p_3
| sym_p_1 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[199]) ).
thf(268,plain,
( ( ( ~ sym_p_3 )
= $true )
| ( sym_u_10 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[200]) ).
thf(269,plain,
( ( ( ~ sym_u_11 )
= $true )
| ( ( ~ sym_p_4
| sym_p_2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[201]) ).
thf(270,plain,
( ( ( ~ sym_p_4 )
= $true )
| ( sym_u_11 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[202]) ).
thf(271,plain,
( ( ( ~ sym_u_12 )
= $true )
| ( ( ~ sym_q_3
| sym_q_1 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[203]) ).
thf(272,plain,
( ( ( ~ sym_q_3 )
= $true )
| ( sym_u_12 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[204]) ).
thf(273,plain,
( ( ( ~ sym_u_13 )
= $true )
| ( ( ~ sym_q_4
| sym_q_2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[205]) ).
thf(274,plain,
( ( ( ~ sym_q_4 )
= $true )
| ( sym_u_13 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[206]) ).
thf(275,plain,
( ( ( ~ sym_u_14 )
= $true )
| ( ( ~ sym_p_2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[207]) ).
thf(276,plain,
( ( ( ~ sym_p_2 )
= $true )
| ( sym_u_14 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[208]) ).
thf(277,plain,
( ( ( ~ sym_u_15 )
= $true )
| ( ( ~ sym_p_3 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[209]) ).
thf(278,plain,
( ( ( ~ sym_p_3 )
= $true )
| ( sym_u_15 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[210]) ).
thf(279,plain,
( ( ( ~ sym_u_16 )
= $true )
| ( ( ~ sym_q_2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[211]) ).
thf(280,plain,
( ( ( ~ sym_q_2 )
= $true )
| ( sym_u_16 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[212]) ).
thf(281,plain,
( ( ( ~ sym_u_17 )
= $true )
| ( ( ~ sym_q_3 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[213]) ).
thf(282,plain,
( ( ( ~ sym_q_3 )
= $true )
| ( sym_u_17 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[214]) ).
thf(283,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[215]) ).
thf(284,plain,
( ( ( ~ p_0 )
= $true )
| ( ( ~ q_0 )
= $true )
| ( u_1 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[216]) ).
thf(285,plain,
( ( p_0 = $true )
| ( ( ~ p_1
| ~ p_2 )
= $true )
| ( u_2 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[218]) ).
thf(286,plain,
( ( u_2 = $false )
| ( p_0 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[219]) ).
thf(287,plain,
( ( p_0 = $true )
| ( ( ~ q_1
| ~ q_2 )
= $true )
| ( u_3 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[220]) ).
thf(288,plain,
( ( u_3 = $false )
| ( p_0 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[221]) ).
thf(289,plain,
( ( p_1 = $true )
| ( ( ~ p_2
| ~ p_3 )
= $true )
| ( u_4 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[222]) ).
thf(290,plain,
( ( u_4 = $false )
| ( p_1 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[223]) ).
thf(291,plain,
( ( p_1 = $true )
| ( ( ~ q_2
| ~ q_3 )
= $true )
| ( u_5 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[224]) ).
thf(292,plain,
( ( u_5 = $false )
| ( p_1 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[225]) ).
thf(293,plain,
( ( q_0 = $true )
| ( ( ~ p_1
| ~ q_2 )
= $true )
| ( u_6 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[226]) ).
thf(294,plain,
( ( u_6 = $false )
| ( q_0 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[227]) ).
thf(295,plain,
( ( q_0 = $true )
| ( ( ~ q_1
| ~ p_2 )
= $true )
| ( u_7 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[228]) ).
thf(296,plain,
( ( u_7 = $false )
| ( q_0 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[229]) ).
thf(297,plain,
( ( q_1 = $true )
| ( ( ~ p_2
| ~ q_3 )
= $true )
| ( u_8 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[230]) ).
thf(298,plain,
( ( u_8 = $false )
| ( q_1 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[231]) ).
thf(299,plain,
( ( q_1 = $true )
| ( ( ~ q_2
| ~ p_3 )
= $true )
| ( u_9 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[232]) ).
thf(300,plain,
( ( u_9 = $false )
| ( q_1 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[233]) ).
thf(301,plain,
( ( p_3 = $true )
| ( ( ~ p_1 )
= $true )
| ( u_10 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[234]) ).
thf(302,plain,
( ( u_10 = $false )
| ( p_3 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[235]) ).
thf(303,plain,
( ( p_4 = $true )
| ( ( ~ p_2 )
= $true )
| ( u_11 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[236]) ).
thf(304,plain,
( ( u_11 = $false )
| ( p_4 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[237]) ).
thf(305,plain,
( ( q_3 = $true )
| ( ( ~ q_1 )
= $true )
| ( u_12 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[238]) ).
thf(306,plain,
( ( u_12 = $false )
| ( q_3 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[239]) ).
thf(307,plain,
( ( q_4 = $true )
| ( ( ~ q_2 )
= $true )
| ( u_13 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[240]) ).
thf(308,plain,
( ( u_13 = $false )
| ( q_4 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[241]) ).
thf(309,plain,
( ( u_14 = $false )
| ( p_2 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[243]) ).
thf(310,plain,
( ( u_15 = $false )
| ( p_3 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[245]) ).
thf(311,plain,
( ( u_16 = $false )
| ( q_2 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[247]) ).
thf(312,plain,
( ( u_17 = $false )
| ( q_3 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[249]) ).
thf(313,plain,
( ( sym_u_1 = $false )
| ( ( sym_p_0
| sym_q_0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[250]) ).
thf(314,plain,
( ( sym_u_2 = $false )
| ( ( ~ sym_p_0
| sym_p_1
| sym_p_2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[251]) ).
thf(315,plain,
( ( sym_p_0 = $false )
| ( sym_u_2 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[252]) ).
thf(316,plain,
( ( sym_u_3 = $false )
| ( ( ~ sym_p_0
| sym_q_1
| sym_q_2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[253]) ).
thf(317,plain,
( ( sym_p_0 = $false )
| ( sym_u_3 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[254]) ).
thf(318,plain,
( ( sym_u_4 = $false )
| ( ( ~ sym_p_1
| sym_p_2
| sym_p_3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[255]) ).
thf(319,plain,
( ( sym_p_1 = $false )
| ( sym_u_4 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[256]) ).
thf(320,plain,
( ( sym_u_5 = $false )
| ( ( ~ sym_p_1
| sym_q_2
| sym_q_3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[257]) ).
thf(321,plain,
( ( sym_p_1 = $false )
| ( sym_u_5 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[258]) ).
thf(322,plain,
( ( sym_u_6 = $false )
| ( ( ~ sym_q_0
| sym_p_1
| sym_q_2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[259]) ).
thf(323,plain,
( ( sym_q_0 = $false )
| ( sym_u_6 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[260]) ).
thf(324,plain,
( ( sym_u_7 = $false )
| ( ( ~ sym_q_0
| sym_p_2
| sym_q_1 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[261]) ).
thf(325,plain,
( ( sym_q_0 = $false )
| ( sym_u_7 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[262]) ).
thf(326,plain,
( ( sym_u_8 = $false )
| ( ( ~ sym_q_1
| sym_p_2
| sym_q_3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[263]) ).
thf(327,plain,
( ( sym_q_1 = $false )
| ( sym_u_8 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[264]) ).
thf(328,plain,
( ( sym_u_9 = $false )
| ( ( ~ sym_q_1
| sym_p_3
| sym_q_2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[265]) ).
thf(329,plain,
( ( sym_q_1 = $false )
| ( sym_u_9 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[266]) ).
thf(330,plain,
( ( sym_u_10 = $false )
| ( ( ~ sym_p_3
| sym_p_1 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[267]) ).
thf(331,plain,
( ( sym_p_3 = $false )
| ( sym_u_10 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[268]) ).
thf(332,plain,
( ( sym_u_11 = $false )
| ( ( ~ sym_p_4
| sym_p_2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[269]) ).
thf(333,plain,
( ( sym_p_4 = $false )
| ( sym_u_11 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[270]) ).
thf(334,plain,
( ( sym_u_12 = $false )
| ( ( ~ sym_q_3
| sym_q_1 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[271]) ).
thf(335,plain,
( ( sym_q_3 = $false )
| ( sym_u_12 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[272]) ).
thf(336,plain,
( ( sym_u_13 = $false )
| ( ( ~ sym_q_4
| sym_q_2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[273]) ).
thf(337,plain,
( ( sym_q_4 = $false )
| ( sym_u_13 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[274]) ).
thf(338,plain,
( ( sym_u_14 = $false )
| ( ( ~ sym_p_2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[275]) ).
thf(339,plain,
( ( sym_p_2 = $false )
| ( sym_u_14 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[276]) ).
thf(340,plain,
( ( sym_u_15 = $false )
| ( ( ~ sym_p_3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[277]) ).
thf(341,plain,
( ( sym_p_3 = $false )
| ( sym_u_15 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[278]) ).
thf(342,plain,
( ( sym_u_16 = $false )
| ( ( ~ sym_q_2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[279]) ).
thf(343,plain,
( ( sym_q_2 = $false )
| ( sym_u_16 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[280]) ).
thf(344,plain,
( ( sym_u_17 = $false )
| ( ( ~ sym_q_3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[281]) ).
thf(345,plain,
( ( sym_q_3 = $false )
| ( sym_u_17 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[282]) ).
thf(346,plain,
( ( p_0 = $false )
| ( ( ~ q_0 )
= $true )
| ( u_1 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[284]) ).
thf(347,plain,
( ( ( ~ p_1 )
= $true )
| ( ( ~ p_2 )
= $true )
| ( p_0 = $true )
| ( u_2 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[285]) ).
thf(348,plain,
( ( ( ~ q_1 )
= $true )
| ( ( ~ q_2 )
= $true )
| ( p_0 = $true )
| ( u_3 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[287]) ).
thf(349,plain,
( ( ( ~ p_2 )
= $true )
| ( ( ~ p_3 )
= $true )
| ( p_1 = $true )
| ( u_4 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[289]) ).
thf(350,plain,
( ( ( ~ q_2 )
= $true )
| ( ( ~ q_3 )
= $true )
| ( p_1 = $true )
| ( u_5 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[291]) ).
thf(351,plain,
( ( ( ~ p_1 )
= $true )
| ( ( ~ q_2 )
= $true )
| ( q_0 = $true )
| ( u_6 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[293]) ).
thf(352,plain,
( ( ( ~ q_1 )
= $true )
| ( ( ~ p_2 )
= $true )
| ( q_0 = $true )
| ( u_7 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[295]) ).
thf(353,plain,
( ( ( ~ p_2 )
= $true )
| ( ( ~ q_3 )
= $true )
| ( q_1 = $true )
| ( u_8 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[297]) ).
thf(354,plain,
( ( ( ~ q_2 )
= $true )
| ( ( ~ p_3 )
= $true )
| ( q_1 = $true )
| ( u_9 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[299]) ).
thf(355,plain,
( ( p_1 = $false )
| ( p_3 = $true )
| ( u_10 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[301]) ).
thf(356,plain,
( ( p_2 = $false )
| ( p_4 = $true )
| ( u_11 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[303]) ).
thf(357,plain,
( ( q_1 = $false )
| ( q_3 = $true )
| ( u_12 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[305]) ).
thf(358,plain,
( ( q_2 = $false )
| ( q_4 = $true )
| ( u_13 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[307]) ).
thf(359,plain,
( ( sym_p_0 = $true )
| ( sym_q_0 = $true )
| ( sym_u_1 = $false ) ),
inference(extcnf_or_pos,[status(thm)],[313]) ).
thf(360,plain,
( ( ( ~ sym_p_0 )
= $true )
| ( ( sym_p_1
| sym_p_2 )
= $true )
| ( sym_u_2 = $false ) ),
inference(extcnf_or_pos,[status(thm)],[314]) ).
thf(361,plain,
( ( ( ~ sym_p_0 )
= $true )
| ( ( sym_q_1
| sym_q_2 )
= $true )
| ( sym_u_3 = $false ) ),
inference(extcnf_or_pos,[status(thm)],[316]) ).
thf(362,plain,
( ( ( ~ sym_p_1 )
= $true )
| ( ( sym_p_2
| sym_p_3 )
= $true )
| ( sym_u_4 = $false ) ),
inference(extcnf_or_pos,[status(thm)],[318]) ).
thf(363,plain,
( ( ( ~ sym_p_1 )
= $true )
| ( ( sym_q_2
| sym_q_3 )
= $true )
| ( sym_u_5 = $false ) ),
inference(extcnf_or_pos,[status(thm)],[320]) ).
thf(364,plain,
( ( ( ~ sym_q_0 )
= $true )
| ( ( sym_p_1
| sym_q_2 )
= $true )
| ( sym_u_6 = $false ) ),
inference(extcnf_or_pos,[status(thm)],[322]) ).
thf(365,plain,
( ( ( ~ sym_q_0 )
= $true )
| ( ( sym_p_2
| sym_q_1 )
= $true )
| ( sym_u_7 = $false ) ),
inference(extcnf_or_pos,[status(thm)],[324]) ).
thf(366,plain,
( ( ( ~ sym_q_1 )
= $true )
| ( ( sym_p_2
| sym_q_3 )
= $true )
| ( sym_u_8 = $false ) ),
inference(extcnf_or_pos,[status(thm)],[326]) ).
thf(367,plain,
( ( ( ~ sym_q_1 )
= $true )
| ( ( sym_p_3
| sym_q_2 )
= $true )
| ( sym_u_9 = $false ) ),
inference(extcnf_or_pos,[status(thm)],[328]) ).
thf(368,plain,
( ( ( ~ sym_p_3 )
= $true )
| ( sym_p_1 = $true )
| ( sym_u_10 = $false ) ),
inference(extcnf_or_pos,[status(thm)],[330]) ).
thf(369,plain,
( ( ( ~ sym_p_4 )
= $true )
| ( sym_p_2 = $true )
| ( sym_u_11 = $false ) ),
inference(extcnf_or_pos,[status(thm)],[332]) ).
thf(370,plain,
( ( ( ~ sym_q_3 )
= $true )
| ( sym_q_1 = $true )
| ( sym_u_12 = $false ) ),
inference(extcnf_or_pos,[status(thm)],[334]) ).
thf(371,plain,
( ( ( ~ sym_q_4 )
= $true )
| ( sym_q_2 = $true )
| ( sym_u_13 = $false ) ),
inference(extcnf_or_pos,[status(thm)],[336]) ).
thf(372,plain,
( ( sym_p_2 = $false )
| ( sym_u_14 = $false ) ),
inference(extcnf_not_pos,[status(thm)],[338]) ).
thf(373,plain,
( ( sym_p_3 = $false )
| ( sym_u_15 = $false ) ),
inference(extcnf_not_pos,[status(thm)],[340]) ).
thf(374,plain,
( ( sym_q_2 = $false )
| ( sym_u_16 = $false ) ),
inference(extcnf_not_pos,[status(thm)],[342]) ).
thf(375,plain,
( ( sym_q_3 = $false )
| ( sym_u_17 = $false ) ),
inference(extcnf_not_pos,[status(thm)],[344]) ).
thf(376,plain,
( ( q_0 = $false )
| ( p_0 = $false )
| ( u_1 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[346]) ).
thf(377,plain,
( ( p_1 = $false )
| ( ( ~ p_2 )
= $true )
| ( p_0 = $true )
| ( u_2 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[347]) ).
thf(378,plain,
( ( q_1 = $false )
| ( ( ~ q_2 )
= $true )
| ( p_0 = $true )
| ( u_3 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[348]) ).
thf(379,plain,
( ( p_2 = $false )
| ( ( ~ p_3 )
= $true )
| ( p_1 = $true )
| ( u_4 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[349]) ).
thf(380,plain,
( ( q_2 = $false )
| ( ( ~ q_3 )
= $true )
| ( p_1 = $true )
| ( u_5 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[350]) ).
thf(381,plain,
( ( p_1 = $false )
| ( ( ~ q_2 )
= $true )
| ( q_0 = $true )
| ( u_6 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[351]) ).
thf(382,plain,
( ( q_1 = $false )
| ( ( ~ p_2 )
= $true )
| ( q_0 = $true )
| ( u_7 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[352]) ).
thf(383,plain,
( ( p_2 = $false )
| ( ( ~ q_3 )
= $true )
| ( q_1 = $true )
| ( u_8 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[353]) ).
thf(384,plain,
( ( q_2 = $false )
| ( ( ~ p_3 )
= $true )
| ( q_1 = $true )
| ( u_9 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[354]) ).
thf(385,plain,
( ( sym_p_0 = $false )
| ( ( sym_p_1
| sym_p_2 )
= $true )
| ( sym_u_2 = $false ) ),
inference(extcnf_not_pos,[status(thm)],[360]) ).
thf(386,plain,
( ( sym_p_0 = $false )
| ( ( sym_q_1
| sym_q_2 )
= $true )
| ( sym_u_3 = $false ) ),
inference(extcnf_not_pos,[status(thm)],[361]) ).
thf(387,plain,
( ( sym_p_1 = $false )
| ( ( sym_p_2
| sym_p_3 )
= $true )
| ( sym_u_4 = $false ) ),
inference(extcnf_not_pos,[status(thm)],[362]) ).
thf(388,plain,
( ( sym_p_1 = $false )
| ( ( sym_q_2
| sym_q_3 )
= $true )
| ( sym_u_5 = $false ) ),
inference(extcnf_not_pos,[status(thm)],[363]) ).
thf(389,plain,
( ( sym_q_0 = $false )
| ( ( sym_p_1
| sym_q_2 )
= $true )
| ( sym_u_6 = $false ) ),
inference(extcnf_not_pos,[status(thm)],[364]) ).
thf(390,plain,
( ( sym_q_0 = $false )
| ( ( sym_p_2
| sym_q_1 )
= $true )
| ( sym_u_7 = $false ) ),
inference(extcnf_not_pos,[status(thm)],[365]) ).
thf(391,plain,
( ( sym_q_1 = $false )
| ( ( sym_p_2
| sym_q_3 )
= $true )
| ( sym_u_8 = $false ) ),
inference(extcnf_not_pos,[status(thm)],[366]) ).
thf(392,plain,
( ( sym_q_1 = $false )
| ( ( sym_p_3
| sym_q_2 )
= $true )
| ( sym_u_9 = $false ) ),
inference(extcnf_not_pos,[status(thm)],[367]) ).
thf(393,plain,
( ( sym_p_3 = $false )
| ( sym_p_1 = $true )
| ( sym_u_10 = $false ) ),
inference(extcnf_not_pos,[status(thm)],[368]) ).
thf(394,plain,
( ( sym_p_4 = $false )
| ( sym_p_2 = $true )
| ( sym_u_11 = $false ) ),
inference(extcnf_not_pos,[status(thm)],[369]) ).
thf(395,plain,
( ( sym_q_3 = $false )
| ( sym_q_1 = $true )
| ( sym_u_12 = $false ) ),
inference(extcnf_not_pos,[status(thm)],[370]) ).
thf(396,plain,
( ( sym_q_4 = $false )
| ( sym_q_2 = $true )
| ( sym_u_13 = $false ) ),
inference(extcnf_not_pos,[status(thm)],[371]) ).
thf(397,plain,
( ( p_2 = $false )
| ( p_1 = $false )
| ( p_0 = $true )
| ( u_2 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[377]) ).
thf(398,plain,
( ( q_2 = $false )
| ( q_1 = $false )
| ( p_0 = $true )
| ( u_3 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[378]) ).
thf(399,plain,
( ( p_3 = $false )
| ( p_2 = $false )
| ( p_1 = $true )
| ( u_4 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[379]) ).
thf(400,plain,
( ( q_3 = $false )
| ( q_2 = $false )
| ( p_1 = $true )
| ( u_5 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[380]) ).
thf(401,plain,
( ( q_2 = $false )
| ( p_1 = $false )
| ( q_0 = $true )
| ( u_6 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[381]) ).
thf(402,plain,
( ( p_2 = $false )
| ( q_1 = $false )
| ( q_0 = $true )
| ( u_7 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[382]) ).
thf(403,plain,
( ( q_3 = $false )
| ( p_2 = $false )
| ( q_1 = $true )
| ( u_8 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[383]) ).
thf(404,plain,
( ( p_3 = $false )
| ( q_2 = $false )
| ( q_1 = $true )
| ( u_9 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[384]) ).
thf(405,plain,
( ( sym_p_1 = $true )
| ( sym_p_2 = $true )
| ( sym_p_0 = $false )
| ( sym_u_2 = $false ) ),
inference(extcnf_or_pos,[status(thm)],[385]) ).
thf(406,plain,
( ( sym_q_1 = $true )
| ( sym_q_2 = $true )
| ( sym_p_0 = $false )
| ( sym_u_3 = $false ) ),
inference(extcnf_or_pos,[status(thm)],[386]) ).
thf(407,plain,
( ( sym_p_2 = $true )
| ( sym_p_3 = $true )
| ( sym_p_1 = $false )
| ( sym_u_4 = $false ) ),
inference(extcnf_or_pos,[status(thm)],[387]) ).
thf(408,plain,
( ( sym_q_2 = $true )
| ( sym_q_3 = $true )
| ( sym_p_1 = $false )
| ( sym_u_5 = $false ) ),
inference(extcnf_or_pos,[status(thm)],[388]) ).
thf(409,plain,
( ( sym_p_1 = $true )
| ( sym_q_2 = $true )
| ( sym_q_0 = $false )
| ( sym_u_6 = $false ) ),
inference(extcnf_or_pos,[status(thm)],[389]) ).
thf(410,plain,
( ( sym_p_2 = $true )
| ( sym_q_1 = $true )
| ( sym_q_0 = $false )
| ( sym_u_7 = $false ) ),
inference(extcnf_or_pos,[status(thm)],[390]) ).
thf(411,plain,
( ( sym_p_2 = $true )
| ( sym_q_3 = $true )
| ( sym_q_1 = $false )
| ( sym_u_8 = $false ) ),
inference(extcnf_or_pos,[status(thm)],[391]) ).
thf(412,plain,
( ( sym_p_3 = $true )
| ( sym_q_2 = $true )
| ( sym_q_1 = $false )
| ( sym_u_9 = $false ) ),
inference(extcnf_or_pos,[status(thm)],[392]) ).
thf(413,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[182,412,411,410,409,408,407,406,405,404,403,402,401,400,399,398,397,396,395,394,393,376,375,374,373,372,359,358,357,356,355,345,343,341,339,337,335,333,331,329,327,325,323,321,319,317,315,312,311,310,309,308,306,304,302,300,298,296,294,292,290,288,286,283,248,246,244,242,217]) ).
thf(414,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[413]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SYN098-1.002 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.06/0.12 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.33 % Computer : n023.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jul 11 22:17:39 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.35
% 0.12/0.35 No.of.Axioms: 68
% 0.12/0.35
% 0.12/0.35 Length.of.Defs: 0
% 0.12/0.35
% 0.12/0.35 Contains.Choice.Funs: false
% 0.12/0.36 (rf:0,axioms:68,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:70,loop_count:0,foatp_calls:0,translation:fof_full).....
% 0.18/0.41
% 0.18/0.41 ********************************
% 0.18/0.41 * All subproblems solved! *
% 0.18/0.41 ********************************
% 0.18/0.41 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:68,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:413,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.18/0.44
% 0.18/0.44 %**** Beginning of derivation protocol ****
% 0.18/0.44 % SZS output start CNFRefutation
% See solution above
% 0.18/0.44
% 0.18/0.44 %**** End of derivation protocol ****
% 0.18/0.44 %**** no. of clauses in derivation: 414 ****
% 0.18/0.44 %**** clause counter: 413 ****
% 0.18/0.44
% 0.18/0.44 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:68,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:413,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------