TSTP Solution File: SYN093-1.002 by LEO-II---1.7.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SYN093-1.002 : 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 : n007.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 08:23:33 EDT 2022
% Result : Unsatisfiable 0.19s 0.38s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 46
% Syntax : Number of formulae : 172 ( 66 unt; 19 typ; 0 def)
% Number of atoms : 828 ( 223 equ; 0 cnn)
% Maximal formula atoms : 4 ( 5 avg)
% Number of connectives : 358 ( 129 ~; 229 |; 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 : 22 ( 19 usr; 21 con; 0-2 aty)
% Number of variables : 0 ( 0 ^ 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_p_1_1,type,
p_1_1: $o ).
thf(tp_p_1_2,type,
p_1_2: $o ).
thf(tp_p_2_2,type,
p_2_2: $o ).
thf(tp_q_1_1,type,
q_1_1: $o ).
thf(tp_q_1_2,type,
q_1_2: $o ).
thf(tp_q_2_2,type,
q_2_2: $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_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,
( q_2_2
| ~ u_13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_13_t2_4) ).
thf(2,axiom,
( u_13
| q_2_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_t2_4) ).
thf(3,axiom,
( p_2_2
| ~ u_12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_12_t2_3) ).
thf(4,axiom,
( u_12
| p_2_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_t2_3) ).
thf(5,axiom,
( q_1_1
| ~ u_11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_11_t2_2) ).
thf(6,axiom,
( u_11
| q_1_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_t2_2) ).
thf(7,axiom,
( p_1_1
| ~ u_10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_10_t2_1) ).
thf(8,axiom,
( u_10
| p_1_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_t2_1) ).
thf(9,axiom,
( q_2_2
| ~ u_9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_9_s2_type22_2) ).
thf(10,axiom,
( u_9
| q_2_2
| ~ q_1_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_s2_type22_2) ).
thf(11,axiom,
( p_2_2
| ~ u_8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_8_s2_type22_1) ).
thf(12,axiom,
( u_8
| p_2_2
| ~ p_1_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_s2_type22_1) ).
thf(13,axiom,
( q_1_1
| ~ u_7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_7_s2_type21_2) ).
thf(14,axiom,
( u_7
| q_1_1
| ~ q_1_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_s2_type21_2) ).
thf(15,axiom,
( p_1_1
| ~ u_6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_6_s2_type21_1) ).
thf(16,axiom,
( u_6
| p_1_1
| ~ p_1_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_s2_type21_1) ).
thf(17,axiom,
( q_1_2
| ~ u_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_5_s2_type12_2) ).
thf(18,axiom,
( u_5
| q_1_2
| ~ q_2_2
| ~ p_1_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_s2_type12_2) ).
thf(19,axiom,
( q_1_2
| ~ u_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_4_s2_type12_1) ).
thf(20,axiom,
( u_4
| q_1_2
| ~ p_2_2
| ~ q_1_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_s2_type12_1) ).
thf(21,axiom,
( p_1_2
| ~ u_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_3_s2_type11_2) ).
thf(22,axiom,
( u_3
| p_1_2
| ~ q_2_2
| ~ q_1_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_s2_type11_2) ).
thf(23,axiom,
( p_1_2
| ~ u_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_2_s2_type11_1) ).
thf(24,axiom,
( u_2
| p_1_2
| ~ p_2_2
| ~ p_1_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_s2_type11_1) ).
thf(25,axiom,
~ u_1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_1_s2_goal_1) ).
thf(26,conjecture,
$false,
file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).
thf(27,negated_conjecture,
$false = $false,
inference(negate_conjecture,[status(cth)],[26]) ).
thf(28,negated_conjecture,
( u_1
| ~ p_1_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_s2_goal_1) ).
thf(29,plain,
$false = $false,
inference(unfold_def,[status(thm)],[27]) ).
thf(30,plain,
( ( q_2_2
| ~ u_13 )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(31,plain,
( ( u_13
| q_2_2 )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(32,plain,
( ( p_2_2
| ~ u_12 )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(33,plain,
( ( u_12
| p_2_2 )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(34,plain,
( ( q_1_1
| ~ u_11 )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(35,plain,
( ( u_11
| q_1_1 )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(36,plain,
( ( p_1_1
| ~ u_10 )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(37,plain,
( ( u_10
| p_1_1 )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(38,plain,
( ( q_2_2
| ~ u_9 )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(39,plain,
( ( u_9
| q_2_2
| ~ q_1_2 )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(40,plain,
( ( p_2_2
| ~ u_8 )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(41,plain,
( ( u_8
| p_2_2
| ~ p_1_2 )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(42,plain,
( ( q_1_1
| ~ u_7 )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(43,plain,
( ( u_7
| q_1_1
| ~ q_1_2 )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(44,plain,
( ( p_1_1
| ~ u_6 )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(45,plain,
( ( u_6
| p_1_1
| ~ p_1_2 )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(46,plain,
( ( q_1_2
| ~ u_5 )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(47,plain,
( ( u_5
| q_1_2
| ~ q_2_2
| ~ p_1_1 )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(48,plain,
( ( q_1_2
| ~ u_4 )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(49,plain,
( ( u_4
| q_1_2
| ~ p_2_2
| ~ q_1_1 )
= $true ),
inference(unfold_def,[status(thm)],[20]) ).
thf(50,plain,
( ( p_1_2
| ~ u_3 )
= $true ),
inference(unfold_def,[status(thm)],[21]) ).
thf(51,plain,
( ( u_3
| p_1_2
| ~ q_2_2
| ~ q_1_1 )
= $true ),
inference(unfold_def,[status(thm)],[22]) ).
thf(52,plain,
( ( p_1_2
| ~ u_2 )
= $true ),
inference(unfold_def,[status(thm)],[23]) ).
thf(53,plain,
( ( u_2
| p_1_2
| ~ p_2_2
| ~ p_1_1 )
= $true ),
inference(unfold_def,[status(thm)],[24]) ).
thf(54,plain,
( ( ~ u_1 )
= $true ),
inference(unfold_def,[status(thm)],[25]) ).
thf(55,plain,
( ( u_1
| ~ p_1_2 )
= $true ),
inference(unfold_def,[status(thm)],[28]) ).
thf(56,plain,
( ( ~ $false )
= $true ),
inference(polarity_switch,[status(thm)],[29]) ).
thf(57,plain,
( ( q_2_2
| u_13 )
= $true ),
inference(extcnf_combined,[status(esa)],[31]) ).
thf(58,plain,
( ( p_2_2
| u_12 )
= $true ),
inference(extcnf_combined,[status(esa)],[33]) ).
thf(59,plain,
( ( q_1_1
| u_11 )
= $true ),
inference(extcnf_combined,[status(esa)],[35]) ).
thf(60,plain,
( ( p_1_1
| u_10 )
= $true ),
inference(extcnf_combined,[status(esa)],[37]) ).
thf(61,plain,
( ( u_1
| ~ p_1_2 )
= $true ),
inference(copy,[status(thm)],[55]) ).
thf(62,plain,
( ( ~ u_1 )
= $true ),
inference(copy,[status(thm)],[54]) ).
thf(63,plain,
( ( u_2
| p_1_2
| ~ p_2_2
| ~ p_1_1 )
= $true ),
inference(copy,[status(thm)],[53]) ).
thf(64,plain,
( ( p_1_2
| ~ u_2 )
= $true ),
inference(copy,[status(thm)],[52]) ).
thf(65,plain,
( ( u_3
| p_1_2
| ~ q_2_2
| ~ q_1_1 )
= $true ),
inference(copy,[status(thm)],[51]) ).
thf(66,plain,
( ( p_1_2
| ~ u_3 )
= $true ),
inference(copy,[status(thm)],[50]) ).
thf(67,plain,
( ( u_4
| q_1_2
| ~ p_2_2
| ~ q_1_1 )
= $true ),
inference(copy,[status(thm)],[49]) ).
thf(68,plain,
( ( q_1_2
| ~ u_4 )
= $true ),
inference(copy,[status(thm)],[48]) ).
thf(69,plain,
( ( u_5
| q_1_2
| ~ q_2_2
| ~ p_1_1 )
= $true ),
inference(copy,[status(thm)],[47]) ).
thf(70,plain,
( ( q_1_2
| ~ u_5 )
= $true ),
inference(copy,[status(thm)],[46]) ).
thf(71,plain,
( ( u_6
| p_1_1
| ~ p_1_2 )
= $true ),
inference(copy,[status(thm)],[45]) ).
thf(72,plain,
( ( p_1_1
| ~ u_6 )
= $true ),
inference(copy,[status(thm)],[44]) ).
thf(73,plain,
( ( u_7
| q_1_1
| ~ q_1_2 )
= $true ),
inference(copy,[status(thm)],[43]) ).
thf(74,plain,
( ( q_1_1
| ~ u_7 )
= $true ),
inference(copy,[status(thm)],[42]) ).
thf(75,plain,
( ( u_8
| p_2_2
| ~ p_1_2 )
= $true ),
inference(copy,[status(thm)],[41]) ).
thf(76,plain,
( ( p_2_2
| ~ u_8 )
= $true ),
inference(copy,[status(thm)],[40]) ).
thf(77,plain,
( ( u_9
| q_2_2
| ~ q_1_2 )
= $true ),
inference(copy,[status(thm)],[39]) ).
thf(78,plain,
( ( q_2_2
| ~ u_9 )
= $true ),
inference(copy,[status(thm)],[38]) ).
thf(79,plain,
( ( p_1_1
| u_10 )
= $true ),
inference(copy,[status(thm)],[60]) ).
thf(80,plain,
( ( p_1_1
| ~ u_10 )
= $true ),
inference(copy,[status(thm)],[36]) ).
thf(81,plain,
( ( q_1_1
| u_11 )
= $true ),
inference(copy,[status(thm)],[59]) ).
thf(82,plain,
( ( q_1_1
| ~ u_11 )
= $true ),
inference(copy,[status(thm)],[34]) ).
thf(83,plain,
( ( p_2_2
| u_12 )
= $true ),
inference(copy,[status(thm)],[58]) ).
thf(84,plain,
( ( p_2_2
| ~ u_12 )
= $true ),
inference(copy,[status(thm)],[32]) ).
thf(85,plain,
( ( q_2_2
| u_13 )
= $true ),
inference(copy,[status(thm)],[57]) ).
thf(86,plain,
( ( q_2_2
| ~ u_13 )
= $true ),
inference(copy,[status(thm)],[30]) ).
thf(87,plain,
( ( ~ $false )
= $true ),
inference(copy,[status(thm)],[56]) ).
thf(88,plain,
( ( u_1 = $true )
| ( ( ~ p_1_2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[61]) ).
thf(89,plain,
u_1 = $false,
inference(extcnf_not_pos,[status(thm)],[62]) ).
thf(90,plain,
( ( u_2 = $true )
| ( ( p_1_2
| ~ p_2_2
| ~ p_1_1 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[63]) ).
thf(91,plain,
( ( p_1_2 = $true )
| ( ( ~ u_2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[64]) ).
thf(92,plain,
( ( u_3 = $true )
| ( ( p_1_2
| ~ q_2_2
| ~ q_1_1 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[65]) ).
thf(93,plain,
( ( p_1_2 = $true )
| ( ( ~ u_3 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[66]) ).
thf(94,plain,
( ( u_4 = $true )
| ( ( q_1_2
| ~ p_2_2
| ~ q_1_1 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[67]) ).
thf(95,plain,
( ( q_1_2 = $true )
| ( ( ~ u_4 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[68]) ).
thf(96,plain,
( ( u_5 = $true )
| ( ( q_1_2
| ~ q_2_2
| ~ p_1_1 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[69]) ).
thf(97,plain,
( ( q_1_2 = $true )
| ( ( ~ u_5 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[70]) ).
thf(98,plain,
( ( u_6 = $true )
| ( ( p_1_1
| ~ p_1_2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[71]) ).
thf(99,plain,
( ( p_1_1 = $true )
| ( ( ~ u_6 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[72]) ).
thf(100,plain,
( ( u_7 = $true )
| ( ( q_1_1
| ~ q_1_2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[73]) ).
thf(101,plain,
( ( q_1_1 = $true )
| ( ( ~ u_7 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[74]) ).
thf(102,plain,
( ( u_8 = $true )
| ( ( p_2_2
| ~ p_1_2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[75]) ).
thf(103,plain,
( ( p_2_2 = $true )
| ( ( ~ u_8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[76]) ).
thf(104,plain,
( ( u_9 = $true )
| ( ( q_2_2
| ~ q_1_2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[77]) ).
thf(105,plain,
( ( q_2_2 = $true )
| ( ( ~ u_9 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[78]) ).
thf(106,plain,
( ( p_1_1 = $true )
| ( u_10 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[79]) ).
thf(107,plain,
( ( p_1_1 = $true )
| ( ( ~ u_10 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[80]) ).
thf(108,plain,
( ( q_1_1 = $true )
| ( u_11 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[81]) ).
thf(109,plain,
( ( q_1_1 = $true )
| ( ( ~ u_11 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[82]) ).
thf(110,plain,
( ( p_2_2 = $true )
| ( u_12 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[83]) ).
thf(111,plain,
( ( p_2_2 = $true )
| ( ( ~ u_12 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[84]) ).
thf(112,plain,
( ( q_2_2 = $true )
| ( u_13 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[85]) ).
thf(113,plain,
( ( q_2_2 = $true )
| ( ( ~ u_13 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[86]) ).
thf(114,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[87]) ).
thf(115,plain,
( ( p_1_2 = $false )
| ( u_1 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[88]) ).
thf(116,plain,
( ( p_1_2 = $true )
| ( ( ~ p_2_2
| ~ p_1_1 )
= $true )
| ( u_2 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[90]) ).
thf(117,plain,
( ( u_2 = $false )
| ( p_1_2 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[91]) ).
thf(118,plain,
( ( p_1_2 = $true )
| ( ( ~ q_2_2
| ~ q_1_1 )
= $true )
| ( u_3 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[92]) ).
thf(119,plain,
( ( u_3 = $false )
| ( p_1_2 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[93]) ).
thf(120,plain,
( ( q_1_2 = $true )
| ( ( ~ p_2_2
| ~ q_1_1 )
= $true )
| ( u_4 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[94]) ).
thf(121,plain,
( ( u_4 = $false )
| ( q_1_2 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[95]) ).
thf(122,plain,
( ( q_1_2 = $true )
| ( ( ~ q_2_2
| ~ p_1_1 )
= $true )
| ( u_5 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[96]) ).
thf(123,plain,
( ( u_5 = $false )
| ( q_1_2 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[97]) ).
thf(124,plain,
( ( p_1_1 = $true )
| ( ( ~ p_1_2 )
= $true )
| ( u_6 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[98]) ).
thf(125,plain,
( ( u_6 = $false )
| ( p_1_1 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[99]) ).
thf(126,plain,
( ( q_1_1 = $true )
| ( ( ~ q_1_2 )
= $true )
| ( u_7 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[100]) ).
thf(127,plain,
( ( u_7 = $false )
| ( q_1_1 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[101]) ).
thf(128,plain,
( ( p_2_2 = $true )
| ( ( ~ p_1_2 )
= $true )
| ( u_8 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[102]) ).
thf(129,plain,
( ( u_8 = $false )
| ( p_2_2 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[103]) ).
thf(130,plain,
( ( q_2_2 = $true )
| ( ( ~ q_1_2 )
= $true )
| ( u_9 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[104]) ).
thf(131,plain,
( ( u_9 = $false )
| ( q_2_2 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[105]) ).
thf(132,plain,
( ( u_10 = $false )
| ( p_1_1 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[107]) ).
thf(133,plain,
( ( u_11 = $false )
| ( q_1_1 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[109]) ).
thf(134,plain,
( ( u_12 = $false )
| ( p_2_2 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[111]) ).
thf(135,plain,
( ( u_13 = $false )
| ( q_2_2 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[113]) ).
thf(136,plain,
( ( ( ~ p_2_2 )
= $true )
| ( ( ~ p_1_1 )
= $true )
| ( p_1_2 = $true )
| ( u_2 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[116]) ).
thf(137,plain,
( ( ( ~ q_2_2 )
= $true )
| ( ( ~ q_1_1 )
= $true )
| ( p_1_2 = $true )
| ( u_3 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[118]) ).
thf(138,plain,
( ( ( ~ p_2_2 )
= $true )
| ( ( ~ q_1_1 )
= $true )
| ( q_1_2 = $true )
| ( u_4 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[120]) ).
thf(139,plain,
( ( ( ~ q_2_2 )
= $true )
| ( ( ~ p_1_1 )
= $true )
| ( q_1_2 = $true )
| ( u_5 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[122]) ).
thf(140,plain,
( ( p_1_2 = $false )
| ( p_1_1 = $true )
| ( u_6 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[124]) ).
thf(141,plain,
( ( q_1_2 = $false )
| ( q_1_1 = $true )
| ( u_7 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[126]) ).
thf(142,plain,
( ( p_1_2 = $false )
| ( p_2_2 = $true )
| ( u_8 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[128]) ).
thf(143,plain,
( ( q_1_2 = $false )
| ( q_2_2 = $true )
| ( u_9 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[130]) ).
thf(144,plain,
( ( p_2_2 = $false )
| ( ( ~ p_1_1 )
= $true )
| ( p_1_2 = $true )
| ( u_2 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[136]) ).
thf(145,plain,
( ( q_2_2 = $false )
| ( ( ~ q_1_1 )
= $true )
| ( p_1_2 = $true )
| ( u_3 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[137]) ).
thf(146,plain,
( ( p_2_2 = $false )
| ( ( ~ q_1_1 )
= $true )
| ( q_1_2 = $true )
| ( u_4 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[138]) ).
thf(147,plain,
( ( q_2_2 = $false )
| ( ( ~ p_1_1 )
= $true )
| ( q_1_2 = $true )
| ( u_5 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[139]) ).
thf(148,plain,
( ( p_1_1 = $false )
| ( p_2_2 = $false )
| ( p_1_2 = $true )
| ( u_2 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[144]) ).
thf(149,plain,
( ( q_1_1 = $false )
| ( q_2_2 = $false )
| ( p_1_2 = $true )
| ( u_3 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[145]) ).
thf(150,plain,
( ( q_1_1 = $false )
| ( p_2_2 = $false )
| ( q_1_2 = $true )
| ( u_4 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[146]) ).
thf(151,plain,
( ( p_1_1 = $false )
| ( q_2_2 = $false )
| ( q_1_2 = $true )
| ( u_5 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[147]) ).
thf(152,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[89,151,150,149,148,143,142,141,140,135,134,133,132,131,129,127,125,123,121,119,117,115,114,112,110,108,106]) ).
thf(153,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[152]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYN093-1.002 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.06/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.33 % Computer : n007.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
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jul 11 14:05:48 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34
% 0.12/0.34 No.of.Axioms: 26
% 0.12/0.34
% 0.12/0.34 Length.of.Defs: 0
% 0.12/0.34
% 0.12/0.34 Contains.Choice.Funs: false
% 0.12/0.35 (rf:0,axioms:26,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:28,loop_count:0,foatp_calls:0,translation:fof_full)..
% 0.19/0.38
% 0.19/0.38 ********************************
% 0.19/0.38 * All subproblems solved! *
% 0.19/0.38 ********************************
% 0.19/0.38 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:26,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:152,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.19/0.38
% 0.19/0.38 %**** Beginning of derivation protocol ****
% 0.19/0.38 % SZS output start CNFRefutation
% See solution above
% 0.19/0.38
% 0.19/0.38 %**** End of derivation protocol ****
% 0.19/0.38 %**** no. of clauses in derivation: 153 ****
% 0.19/0.38 %**** clause counter: 152 ****
% 0.19/0.38
% 0.19/0.38 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:26,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:152,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------