%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : SYO090^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Oct 7 11:07:37 AM UTC 2026
% Result : Theorem 0.11s 0.22s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 1
% Syntax : Number of formulae : 171 ( 73 unt; 0 typ; 0 def)
% Number of atoms : 2596 ( 533 equ; 0 cnn)
% Maximal formula atoms : 26 ( 15 avg)
% Number of connectives : 2707 (1348 ~;1268 |; 88 &; 0 @)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 3 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 4 usr; 6 con; 0-2 aty)
% Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_p,type,
p: $o ).
thf(tp_q,type,
q: $o ).
thf(tp_s,type,
s: $o ).
thf(tp_t,type,
t: $o ).
thf(1,conjecture,
( ( ~ ( ~ ( ( ~ ( ( ~ ( p
& q )
| ~ ( s
& t ) )
& q )
| ~ ( s
& t ) )
& q )
| ~ ( s
& t ) )
| ~ q
| ~ s
| ~ t )
=> ( ~ ( ( ~ ( ( ~ ( ( ~ ( p
& q )
| ~ ( s
& t ) )
& q )
| ~ ( s
& t ) )
& q )
| ~ ( s
& t ) )
& q )
| ~ ( s
& t ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cDMG8) ).
thf(2,negated_conjecture,
( ( ( ~ ( ~ ( ( ~ ( ( ~ ( p
& q )
| ~ ( s
& t ) )
& q )
| ~ ( s
& t ) )
& q )
| ~ ( s
& t ) )
| ~ q
| ~ s
| ~ t )
=> ( ~ ( ( ~ ( ( ~ ( ( ~ ( p
& q )
| ~ ( s
& t ) )
& q )
| ~ ( s
& t ) )
& q )
| ~ ( s
& t ) )
& q )
| ~ ( s
& t ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ( ~ ( ~ ( ( ~ ( ( ~ ( p
& q )
| ~ ( s
& t ) )
& q )
| ~ ( s
& t ) )
& q )
| ~ ( s
& t ) )
| ~ q
| ~ s
| ~ t )
=> ( ~ ( ( ~ ( ( ~ ( ( ~ ( p
& q )
| ~ ( s
& t ) )
& q )
| ~ ( s
& t ) )
& q )
| ~ ( s
& t ) )
& q )
| ~ ( s
& t ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ~ ( ~ ( ( ~ ( ( ~ ( p
& q )
| ~ ( s
& t ) )
& q )
| ~ ( s
& t ) )
& q )
| ~ ( s
& t ) )
| ~ q
| ~ s
| ~ t )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(5,plain,
( ( ~ ( ( ~ ( ( ~ ( ( ~ ( p
& q )
| ~ ( s
& t ) )
& q )
| ~ ( s
& t ) )
& q )
| ~ ( s
& t ) )
& q )
| ~ ( s
& t ) )
= $false ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(6,plain,
( ( ~ ( ~ ( ( ~ ( ( ~ ( ( ~ ( p
& q )
| ~ ( s
& t ) )
& q )
| ~ ( s
& t ) )
& q )
| ~ ( s
& t ) )
& q )
| ~ ( s
& t ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[5]) ).
thf(7,plain,
( ( q
& ( ~ q
| q
| ~ s
| ~ t )
& ( ~ q
| ~ p
| ~ q
| ~ s
| ~ t
| ~ s
| ~ t )
& ( ~ q
| s
| ~ s
| ~ t )
& ( ~ q
| t
| ~ s
| ~ t )
& s
& t )
= $true ),
inference(extcnf_combined,[status(esa)],[6]) ).
thf(8,plain,
( ( ( q
| ~ q
| ~ s
| ~ t )
& ( ~ q
| p
| ~ s
| ~ t
| ~ q
| ~ s
| ~ t )
& ( ~ q
| q
| ~ s
| ~ t
| ~ q
| ~ s
| ~ t )
& ( ~ q
| s
| ~ s
| ~ t
| ~ q
| ~ s
| ~ t )
& ( ~ q
| t
| ~ s
| ~ t
| ~ q
| ~ s
| ~ t )
& ( s
| ~ q
| ~ s
| ~ t )
& ( t
| ~ q
| ~ s
| ~ t ) )
= $true ),
inference(extcnf_combined,[status(esa)],[4]) ).
thf(9,plain,
( ( ( q
| ~ q
| ~ s
| ~ t )
& ( ~ q
| p
| ~ s
| ~ t
| ~ q
| ~ s
| ~ t )
& ( ~ q
| q
| ~ s
| ~ t
| ~ q
| ~ s
| ~ t )
& ( ~ q
| s
| ~ s
| ~ t
| ~ q
| ~ s
| ~ t )
& ( ~ q
| t
| ~ s
| ~ t
| ~ q
| ~ s
| ~ t )
& ( s
| ~ q
| ~ s
| ~ t )
& ( t
| ~ q
| ~ s
| ~ t ) )
= $true ),
inference(copy,[status(thm)],[8]) ).
thf(10,plain,
( ( q
& ( ~ q
| q
| ~ s
| ~ t )
& ( ~ q
| ~ p
| ~ q
| ~ s
| ~ t
| ~ s
| ~ t )
& ( ~ q
| s
| ~ s
| ~ t )
& ( ~ q
| t
| ~ s
| ~ t )
& s
& t )
= $true ),
inference(copy,[status(thm)],[7]) ).
thf(11,plain,
( ( ~ ( ~ ~ ( ~ ( q
| ~ q
| ~ s
| ~ t )
| ~ ~ ( ~ ~ ( ~ ( ~ q
| p
| ~ s
| ~ t
| ~ q
| ~ s
| ~ t )
| ~ ( ~ q
| q
| ~ s
| ~ t
| ~ q
| ~ s
| ~ t ) )
| ~ ~ ( ~ ( ~ q
| s
| ~ s
| ~ t
| ~ q
| ~ s
| ~ t )
| ~ ( ~ q
| t
| ~ s
| ~ t
| ~ q
| ~ s
| ~ t ) ) ) )
| ~ ~ ( ~ ( s
| ~ q
| ~ s
| ~ t )
| ~ ( t
| ~ q
| ~ s
| ~ t ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(12,plain,
( ( ~ ( ~ ~ ( ~ q
| ~ ~ ( ~ ~ ( ~ ( ~ q
| q
| ~ s
| ~ t )
| ~ ( ~ q
| ~ p
| ~ q
| ~ s
| ~ t
| ~ s
| ~ t ) )
| ~ ~ ( ~ ( ~ q
| s
| ~ s
| ~ t )
| ~ ( ~ q
| t
| ~ s
| ~ t ) ) ) )
| ~ ~ ( ~ s
| ~ t ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(13,plain,
( ( ~ ~ ( ~ ( q
| ~ q
| ~ s
| ~ t )
| ~ ~ ( ~ ~ ( ~ ( ~ q
| p
| ~ s
| ~ t
| ~ q
| ~ s
| ~ t )
| ~ ( ~ q
| q
| ~ s
| ~ t
| ~ q
| ~ s
| ~ t ) )
| ~ ~ ( ~ ( ~ q
| s
| ~ s
| ~ t
| ~ q
| ~ s
| ~ t )
| ~ ( ~ q
| t
| ~ s
| ~ t
| ~ q
| ~ s
| ~ t ) ) ) )
| ~ ~ ( ~ ( s
| ~ q
| ~ s
| ~ t )
| ~ ( t
| ~ q
| ~ s
| ~ t ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[11]) ).
thf(14,plain,
( ( ~ ~ ( ~ q
| ~ ~ ( ~ ~ ( ~ ( ~ q
| q
| ~ s
| ~ t )
| ~ ( ~ q
| ~ p
| ~ q
| ~ s
| ~ t
| ~ s
| ~ t ) )
| ~ ~ ( ~ ( ~ q
| s
| ~ s
| ~ t )
| ~ ( ~ q
| t
| ~ s
| ~ t ) ) ) )
| ~ ~ ( ~ s
| ~ t ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[12]) ).
thf(15,plain,
( ( ~ ~ ( ~ ( q
| ~ q
| ~ s
| ~ t )
| ~ ~ ( ~ ~ ( ~ ( ~ q
| p
| ~ s
| ~ t
| ~ q
| ~ s
| ~ t )
| ~ ( ~ q
| q
| ~ s
| ~ t
| ~ q
| ~ s
| ~ t ) )
| ~ ~ ( ~ ( ~ q
| s
| ~ s
| ~ t
| ~ q
| ~ s
| ~ t )
| ~ ( ~ q
| t
| ~ s
| ~ t
| ~ q
| ~ s
| ~ t ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[13]) ).
thf(16,plain,
( ( ~ ~ ( ~ ( s
| ~ q
| ~ s
| ~ t )
| ~ ( t
| ~ q
| ~ s
| ~ t ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[13]) ).
thf(17,plain,
( ( ~ ~ ( ~ q
| ~ ~ ( ~ ~ ( ~ ( ~ q
| q
| ~ s
| ~ t )
| ~ ( ~ q
| ~ p
| ~ q
| ~ s
| ~ t
| ~ s
| ~ t ) )
| ~ ~ ( ~ ( ~ q
| s
| ~ s
| ~ t )
| ~ ( ~ q
| t
| ~ s
| ~ t ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[14]) ).
thf(18,plain,
( ( ~ ~ ( ~ s
| ~ t ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[14]) ).
thf(19,plain,
( ( ~ ( ~ ( q
| ~ q
| ~ s
| ~ t )
| ~ ~ ( ~ ~ ( ~ ( ~ q
| p
| ~ s
| ~ t
| ~ q
| ~ s
| ~ t )
| ~ ( ~ q
| q
| ~ s
| ~ t
| ~ q
| ~ s
| ~ t ) )
| ~ ~ ( ~ ( ~ q
| s
| ~ s
| ~ t
| ~ q
| ~ s
| ~ t )
| ~ ( ~ q
| t
| ~ s
| ~ t
| ~ q
| ~ s
| ~ t ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[15]) ).
thf(20,plain,
( ( ~ ( ~ ( s
| ~ q
| ~ s
| ~ t )
| ~ ( t
| ~ q
| ~ s
| ~ t ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[16]) ).
thf(21,plain,
( ( ~ ( ~ q
| ~ ~ ( ~ ~ ( ~ ( ~ q
| q
| ~ s
| ~ t )
| ~ ( ~ q
| ~ p
| ~ q
| ~ s
| ~ t
| ~ s
| ~ t ) )
| ~ ~ ( ~ ( ~ q
| s
| ~ s
| ~ t )
| ~ ( ~ q
| t
| ~ s
| ~ t ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[17]) ).
thf(22,plain,
( ( ~ ( ~ s
| ~ t ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[18]) ).
thf(23,plain,
( ( ~ ( q
| ~ q
| ~ s
| ~ t )
| ~ ~ ( ~ ~ ( ~ ( ~ q
| p
| ~ s
| ~ t
| ~ q
| ~ s
| ~ t )
| ~ ( ~ q
| q
| ~ s
| ~ t
| ~ q
| ~ s
| ~ t ) )
| ~ ~ ( ~ ( ~ q
| s
| ~ s
| ~ t
| ~ q
| ~ s
| ~ t )
| ~ ( ~ q
| t
| ~ s
| ~ t
| ~ q
| ~ s
| ~ t ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[19]) ).
thf(24,plain,
( ( ~ ( s
| ~ q
| ~ s
| ~ t )
| ~ ( t
| ~ q
| ~ s
| ~ t ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[20]) ).
thf(25,plain,
( ( ~ q
| ~ ~ ( ~ ~ ( ~ ( ~ q
| q
| ~ s
| ~ t )
| ~ ( ~ q
| ~ p
| ~ q
| ~ s
| ~ t
| ~ s
| ~ t ) )
| ~ ~ ( ~ ( ~ q
| s
| ~ s
| ~ t )
| ~ ( ~ q
| t
| ~ s
| ~ t ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[21]) ).
thf(26,plain,
( ( ~ s
| ~ t )
= $false ),
inference(extcnf_not_pos,[status(thm)],[22]) ).
thf(27,plain,
( ( ~ ( q
| ~ q
| ~ s
| ~ t ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[23]) ).
thf(28,plain,
( ( ~ ~ ( ~ ~ ( ~ ( ~ q
| p
| ~ s
| ~ t
| ~ q
| ~ s
| ~ t )
| ~ ( ~ q
| q
| ~ s
| ~ t
| ~ q
| ~ s
| ~ t ) )
| ~ ~ ( ~ ( ~ q
| s
| ~ s
| ~ t
| ~ q
| ~ s
| ~ t )
| ~ ( ~ q
| t
| ~ s
| ~ t
| ~ q
| ~ s
| ~ t ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[23]) ).
thf(29,plain,
( ( ~ ( s
| ~ q
| ~ s
| ~ t ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[24]) ).
thf(30,plain,
( ( ~ ( t
| ~ q
| ~ s
| ~ t ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[24]) ).
thf(31,plain,
( ( ~ q ) = $false ),
inference(extcnf_or_neg,[status(thm)],[25]) ).
thf(32,plain,
( ( ~ ~ ( ~ ~ ( ~ ( ~ q
| q
| ~ s
| ~ t )
| ~ ( ~ q
| ~ p
| ~ q
| ~ s
| ~ t
| ~ s
| ~ t ) )
| ~ ~ ( ~ ( ~ q
| s
| ~ s
| ~ t )
| ~ ( ~ q
| t
| ~ s
| ~ t ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[25]) ).
thf(33,plain,
( ( ~ s ) = $false ),
inference(extcnf_or_neg,[status(thm)],[26]) ).
thf(34,plain,
( ( ~ t ) = $false ),
inference(extcnf_or_neg,[status(thm)],[26]) ).
thf(35,plain,
( ( q
| ~ q
| ~ s
| ~ t )
= $true ),
inference(extcnf_not_neg,[status(thm)],[27]) ).
thf(36,plain,
( ( ~ ( ~ ~ ( ~ ( ~ q
| p
| ~ s
| ~ t
| ~ q
| ~ s
| ~ t )
| ~ ( ~ q
| q
| ~ s
| ~ t
| ~ q
| ~ s
| ~ t ) )
| ~ ~ ( ~ ( ~ q
| s
| ~ s
| ~ t
| ~ q
| ~ s
| ~ t )
| ~ ( ~ q
| t
| ~ s
| ~ t
| ~ q
| ~ s
| ~ t ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[28]) ).
thf(37,plain,
( ( s
| ~ q
| ~ s
| ~ t )
= $true ),
inference(extcnf_not_neg,[status(thm)],[29]) ).
thf(38,plain,
( ( t
| ~ q
| ~ s
| ~ t )
= $true ),
inference(extcnf_not_neg,[status(thm)],[30]) ).
thf(39,plain,
q = $true,
inference(extcnf_not_neg,[status(thm)],[31]) ).
thf(40,plain,
( ( ~ ( ~ ~ ( ~ ( ~ q
| q
| ~ s
| ~ t )
| ~ ( ~ q
| ~ p
| ~ q
| ~ s
| ~ t
| ~ s
| ~ t ) )
| ~ ~ ( ~ ( ~ q
| s
| ~ s
| ~ t )
| ~ ( ~ q
| t
| ~ s
| ~ t ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[32]) ).
thf(41,plain,
s = $true,
inference(extcnf_not_neg,[status(thm)],[33]) ).
thf(42,plain,
t = $true,
inference(extcnf_not_neg,[status(thm)],[34]) ).
thf(43,plain,
( ( ( q
| ~ q
| ~ s )
= $true )
| ( ( ~ t ) = $true ) ),
inference(extcnf_or_pos,[status(thm)],[35]) ).
thf(44,plain,
( ( ~ ~ ( ~ ( ~ q
| p
| ~ s
| ~ t
| ~ q
| ~ s
| ~ t )
| ~ ( ~ q
| q
| ~ s
| ~ t
| ~ q
| ~ s
| ~ t ) )
| ~ ~ ( ~ ( ~ q
| s
| ~ s
| ~ t
| ~ q
| ~ s
| ~ t )
| ~ ( ~ q
| t
| ~ s
| ~ t
| ~ q
| ~ s
| ~ t ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[36]) ).
thf(45,plain,
( ( ( s
| ~ q
| ~ s )
= $true )
| ( ( ~ t ) = $true ) ),
inference(extcnf_or_pos,[status(thm)],[37]) ).
thf(46,plain,
( ( ( t
| ~ q
| ~ s )
= $true )
| ( ( ~ t ) = $true ) ),
inference(extcnf_or_pos,[status(thm)],[38]) ).
thf(47,plain,
( ( ~ ~ ( ~ ( ~ q
| q
| ~ s
| ~ t )
| ~ ( ~ q
| ~ p
| ~ q
| ~ s
| ~ t
| ~ s
| ~ t ) )
| ~ ~ ( ~ ( ~ q
| s
| ~ s
| ~ t )
| ~ ( ~ q
| t
| ~ s
| ~ t ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[40]) ).
thf(48,plain,
( ( ( q
| ~ q )
= $true )
| ( ( ~ s ) = $true )
| ( ( ~ t ) = $true ) ),
inference(extcnf_or_pos,[status(thm)],[43]) ).
thf(49,plain,
( ( ~ ~ ( ~ ( ~ q
| p
| ~ s
| ~ t
| ~ q
| ~ s
| ~ t )
| ~ ( ~ q
| q
| ~ s
| ~ t
| ~ q
| ~ s
| ~ t ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[44]) ).
thf(50,plain,
( ( ~ ~ ( ~ ( ~ q
| s
| ~ s
| ~ t
| ~ q
| ~ s
| ~ t )
| ~ ( ~ q
| t
| ~ s
| ~ t
| ~ q
| ~ s
| ~ t ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[44]) ).
thf(51,plain,
( ( ( s
| ~ q )
= $true )
| ( ( ~ s ) = $true )
| ( ( ~ t ) = $true ) ),
inference(extcnf_or_pos,[status(thm)],[45]) ).
thf(52,plain,
( ( ( t
| ~ q )
= $true )
| ( ( ~ s ) = $true )
| ( ( ~ t ) = $true ) ),
inference(extcnf_or_pos,[status(thm)],[46]) ).
thf(53,plain,
( ( ~ ~ ( ~ ( ~ q
| q
| ~ s
| ~ t )
| ~ ( ~ q
| ~ p
| ~ q
| ~ s
| ~ t
| ~ s
| ~ t ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[47]) ).
thf(54,plain,
( ( ~ ~ ( ~ ( ~ q
| s
| ~ s
| ~ t )
| ~ ( ~ q
| t
| ~ s
| ~ t ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[47]) ).
thf(55,plain,
( ( q = $true )
| ( ( ~ q ) = $true )
| ( ( ~ s ) = $true )
| ( ( ~ t ) = $true ) ),
inference(extcnf_or_pos,[status(thm)],[48]) ).
thf(56,plain,
( ( ~ ( ~ ( ~ q
| p
| ~ s
| ~ t
| ~ q
| ~ s
| ~ t )
| ~ ( ~ q
| q
| ~ s
| ~ t
| ~ q
| ~ s
| ~ t ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[49]) ).
thf(57,plain,
( ( ~ ( ~ ( ~ q
| s
| ~ s
| ~ t
| ~ q
| ~ s
| ~ t )
| ~ ( ~ q
| t
| ~ s
| ~ t
| ~ q
| ~ s
| ~ t ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[50]) ).
thf(58,plain,
( ( s = $true )
| ( ( ~ q ) = $true )
| ( ( ~ s ) = $true )
| ( ( ~ t ) = $true ) ),
inference(extcnf_or_pos,[status(thm)],[51]) ).
thf(59,plain,
( ( t = $true )
| ( ( ~ q ) = $true )
| ( ( ~ s ) = $true )
| ( ( ~ t ) = $true ) ),
inference(extcnf_or_pos,[status(thm)],[52]) ).
thf(60,plain,
( ( ~ ( ~ ( ~ q
| q
| ~ s
| ~ t )
| ~ ( ~ q
| ~ p
| ~ q
| ~ s
| ~ t
| ~ s
| ~ t ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[53]) ).
thf(61,plain,
( ( ~ ( ~ ( ~ q
| s
| ~ s
| ~ t )
| ~ ( ~ q
| t
| ~ s
| ~ t ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[54]) ).
thf(62,plain,
( ( q = $false )
| ( q = $true )
| ( ( ~ s ) = $true )
| ( ( ~ t ) = $true ) ),
inference(extcnf_not_pos,[status(thm)],[55]) ).
thf(63,plain,
( ( ~ ( ~ q
| p
| ~ s
| ~ t
| ~ q
| ~ s
| ~ t )
| ~ ( ~ q
| q
| ~ s
| ~ t
| ~ q
| ~ s
| ~ t ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[56]) ).
thf(64,plain,
( ( ~ ( ~ q
| s
| ~ s
| ~ t
| ~ q
| ~ s
| ~ t )
| ~ ( ~ q
| t
| ~ s
| ~ t
| ~ q
| ~ s
| ~ t ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[57]) ).
thf(65,plain,
( ( q = $false )
| ( s = $true )
| ( ( ~ s ) = $true )
| ( ( ~ t ) = $true ) ),
inference(extcnf_not_pos,[status(thm)],[58]) ).
thf(66,plain,
( ( q = $false )
| ( t = $true )
| ( ( ~ s ) = $true )
| ( ( ~ t ) = $true ) ),
inference(extcnf_not_pos,[status(thm)],[59]) ).
thf(67,plain,
( ( ~ ( ~ q
| q
| ~ s
| ~ t )
| ~ ( ~ q
| ~ p
| ~ q
| ~ s
| ~ t
| ~ s
| ~ t ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[60]) ).
thf(68,plain,
( ( ~ ( ~ q
| s
| ~ s
| ~ t )
| ~ ( ~ q
| t
| ~ s
| ~ t ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[61]) ).
thf(69,plain,
( ( s = $false )
| ( q = $true )
| ( q = $false )
| ( ( ~ t ) = $true ) ),
inference(extcnf_not_pos,[status(thm)],[62]) ).
thf(70,plain,
( ( ~ ( ~ q
| p
| ~ s
| ~ t
| ~ q
| ~ s
| ~ t ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[63]) ).
thf(71,plain,
( ( ~ ( ~ q
| q
| ~ s
| ~ t
| ~ q
| ~ s
| ~ t ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[63]) ).
thf(72,plain,
( ( ~ ( ~ q
| s
| ~ s
| ~ t
| ~ q
| ~ s
| ~ t ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[64]) ).
thf(73,plain,
( ( ~ ( ~ q
| t
| ~ s
| ~ t
| ~ q
| ~ s
| ~ t ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[64]) ).
thf(74,plain,
( ( s = $false )
| ( s = $true )
| ( q = $false )
| ( ( ~ t ) = $true ) ),
inference(extcnf_not_pos,[status(thm)],[65]) ).
thf(75,plain,
( ( s = $false )
| ( t = $true )
| ( q = $false )
| ( ( ~ t ) = $true ) ),
inference(extcnf_not_pos,[status(thm)],[66]) ).
thf(76,plain,
( ( ~ ( ~ q
| q
| ~ s
| ~ t ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[67]) ).
thf(77,plain,
( ( ~ ( ~ q
| ~ p
| ~ q
| ~ s
| ~ t
| ~ s
| ~ t ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[67]) ).
thf(78,plain,
( ( ~ ( ~ q
| s
| ~ s
| ~ t ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[68]) ).
thf(79,plain,
( ( ~ ( ~ q
| t
| ~ s
| ~ t ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[68]) ).
thf(80,plain,
( ( t = $false )
| ( q = $false )
| ( q = $true )
| ( s = $false ) ),
inference(extcnf_not_pos,[status(thm)],[69]) ).
thf(81,plain,
( ( ~ q
| p
| ~ s
| ~ t
| ~ q
| ~ s
| ~ t )
= $true ),
inference(extcnf_not_neg,[status(thm)],[70]) ).
thf(82,plain,
( ( ~ q
| q
| ~ s
| ~ t
| ~ q
| ~ s
| ~ t )
= $true ),
inference(extcnf_not_neg,[status(thm)],[71]) ).
thf(83,plain,
( ( ~ q
| s
| ~ s
| ~ t
| ~ q
| ~ s
| ~ t )
= $true ),
inference(extcnf_not_neg,[status(thm)],[72]) ).
thf(84,plain,
( ( ~ q
| t
| ~ s
| ~ t
| ~ q
| ~ s
| ~ t )
= $true ),
inference(extcnf_not_neg,[status(thm)],[73]) ).
thf(85,plain,
( ( t = $false )
| ( q = $false )
| ( s = $true )
| ( s = $false ) ),
inference(extcnf_not_pos,[status(thm)],[74]) ).
thf(86,plain,
( ( t = $false )
| ( q = $false )
| ( t = $true )
| ( s = $false ) ),
inference(extcnf_not_pos,[status(thm)],[75]) ).
thf(87,plain,
( ( ~ q
| q
| ~ s
| ~ t )
= $true ),
inference(extcnf_not_neg,[status(thm)],[76]) ).
thf(88,plain,
( ( ~ q
| ~ p
| ~ q
| ~ s
| ~ t
| ~ s
| ~ t )
= $true ),
inference(extcnf_not_neg,[status(thm)],[77]) ).
thf(89,plain,
( ( ~ q
| s
| ~ s
| ~ t )
= $true ),
inference(extcnf_not_neg,[status(thm)],[78]) ).
thf(90,plain,
( ( ~ q
| t
| ~ s
| ~ t )
= $true ),
inference(extcnf_not_neg,[status(thm)],[79]) ).
thf(91,plain,
( ( ( ~ q
| p
| ~ s
| ~ t
| ~ q
| ~ s )
= $true )
| ( ( ~ t ) = $true ) ),
inference(extcnf_or_pos,[status(thm)],[81]) ).
thf(92,plain,
( ( ( ~ q
| q
| ~ s
| ~ t
| ~ q
| ~ s )
= $true )
| ( ( ~ t ) = $true ) ),
inference(extcnf_or_pos,[status(thm)],[82]) ).
thf(93,plain,
( ( ( ~ q
| s
| ~ s
| ~ t
| ~ q
| ~ s )
= $true )
| ( ( ~ t ) = $true ) ),
inference(extcnf_or_pos,[status(thm)],[83]) ).
thf(94,plain,
( ( ( ~ q
| t
| ~ s
| ~ t
| ~ q
| ~ s )
= $true )
| ( ( ~ t ) = $true ) ),
inference(extcnf_or_pos,[status(thm)],[84]) ).
thf(95,plain,
( ( ( ~ q
| q )
= $true )
| ( ( ~ s
| ~ t )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[87]) ).
thf(96,plain,
( ( ( ~ q
| ~ p
| ~ q
| ~ s
| ~ t )
= $true )
| ( ( ~ s
| ~ t )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[88]) ).
thf(97,plain,
( ( ( ~ q
| s )
= $true )
| ( ( ~ s
| ~ t )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[89]) ).
thf(98,plain,
( ( ( ~ q
| t )
= $true )
| ( ( ~ s
| ~ t )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[90]) ).
thf(99,plain,
( ( ( ~ q
| p
| ~ s
| ~ t
| ~ q )
= $true )
| ( ( ~ s ) = $true )
| ( ( ~ t ) = $true ) ),
inference(extcnf_or_pos,[status(thm)],[91]) ).
thf(100,plain,
( ( ( ~ q
| q
| ~ s
| ~ t
| ~ q )
= $true )
| ( ( ~ s ) = $true )
| ( ( ~ t ) = $true ) ),
inference(extcnf_or_pos,[status(thm)],[92]) ).
thf(101,plain,
( ( ( ~ q
| s
| ~ s
| ~ t
| ~ q )
= $true )
| ( ( ~ s ) = $true )
| ( ( ~ t ) = $true ) ),
inference(extcnf_or_pos,[status(thm)],[93]) ).
thf(102,plain,
( ( ( ~ q
| t
| ~ s
| ~ t
| ~ q )
= $true )
| ( ( ~ s ) = $true )
| ( ( ~ t ) = $true ) ),
inference(extcnf_or_pos,[status(thm)],[94]) ).
thf(103,plain,
( ( ( ~ q ) = $true )
| ( q = $true )
| ( ( ~ s
| ~ t )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[95]) ).
thf(104,plain,
( ( ( ~ q ) = $true )
| ( ( ~ p
| ~ q
| ~ s
| ~ t )
= $true )
| ( ( ~ s
| ~ t )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[96]) ).
thf(105,plain,
( ( ( ~ q ) = $true )
| ( s = $true )
| ( ( ~ s
| ~ t )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[97]) ).
thf(106,plain,
( ( ( ~ q ) = $true )
| ( t = $true )
| ( ( ~ s
| ~ t )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[98]) ).
thf(107,plain,
( ( ( ~ q
| p
| ~ s
| ~ t )
= $true )
| ( ( ~ q ) = $true )
| ( ( ~ s ) = $true )
| ( ( ~ t ) = $true ) ),
inference(extcnf_or_pos,[status(thm)],[99]) ).
thf(108,plain,
( ( ( ~ q
| q
| ~ s
| ~ t )
= $true )
| ( ( ~ q ) = $true )
| ( ( ~ s ) = $true )
| ( ( ~ t ) = $true ) ),
inference(extcnf_or_pos,[status(thm)],[100]) ).
thf(109,plain,
( ( ( ~ q
| s
| ~ s
| ~ t )
= $true )
| ( ( ~ q ) = $true )
| ( ( ~ s ) = $true )
| ( ( ~ t ) = $true ) ),
inference(extcnf_or_pos,[status(thm)],[101]) ).
thf(110,plain,
( ( ( ~ q
| t
| ~ s
| ~ t )
= $true )
| ( ( ~ q ) = $true )
| ( ( ~ s ) = $true )
| ( ( ~ t ) = $true ) ),
inference(extcnf_or_pos,[status(thm)],[102]) ).
thf(111,plain,
( ( q = $false )
| ( q = $true )
| ( ( ~ s
| ~ t )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[103]) ).
thf(112,plain,
( ( q = $false )
| ( ( ~ p
| ~ q
| ~ s
| ~ t )
= $true )
| ( ( ~ s
| ~ t )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[104]) ).
thf(113,plain,
( ( q = $false )
| ( s = $true )
| ( ( ~ s
| ~ t )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[105]) ).
thf(114,plain,
( ( q = $false )
| ( t = $true )
| ( ( ~ s
| ~ t )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[106]) ).
thf(115,plain,
( ( ( ~ q
| p )
= $true )
| ( ( ~ s
| ~ t )
= $true )
| ( ( ~ q ) = $true )
| ( ( ~ s ) = $true )
| ( ( ~ t ) = $true ) ),
inference(extcnf_or_pos,[status(thm)],[107]) ).
thf(116,plain,
( ( ( ~ q
| q )
= $true )
| ( ( ~ s
| ~ t )
= $true )
| ( ( ~ q ) = $true )
| ( ( ~ s ) = $true )
| ( ( ~ t ) = $true ) ),
inference(extcnf_or_pos,[status(thm)],[108]) ).
thf(117,plain,
( ( ( ~ q
| s )
= $true )
| ( ( ~ s
| ~ t )
= $true )
| ( ( ~ q ) = $true )
| ( ( ~ s ) = $true )
| ( ( ~ t ) = $true ) ),
inference(extcnf_or_pos,[status(thm)],[109]) ).
thf(118,plain,
( ( ( ~ q
| t )
= $true )
| ( ( ~ s
| ~ t )
= $true )
| ( ( ~ q ) = $true )
| ( ( ~ s ) = $true )
| ( ( ~ t ) = $true ) ),
inference(extcnf_or_pos,[status(thm)],[110]) ).
thf(119,plain,
( ( ( ~ s ) = $true )
| ( ( ~ t ) = $true )
| ( q = $true )
| ( q = $false ) ),
inference(extcnf_or_pos,[status(thm)],[111]) ).
thf(120,plain,
( ( ( ~ p
| ~ q )
= $true )
| ( ( ~ s
| ~ t )
= $true )
| ( q = $false )
| ( ( ~ s
| ~ t )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[112]) ).
thf(121,plain,
( ( ( ~ s ) = $true )
| ( ( ~ t ) = $true )
| ( s = $true )
| ( q = $false ) ),
inference(extcnf_or_pos,[status(thm)],[113]) ).
thf(122,plain,
( ( ( ~ s ) = $true )
| ( ( ~ t ) = $true )
| ( t = $true )
| ( q = $false ) ),
inference(extcnf_or_pos,[status(thm)],[114]) ).
thf(123,plain,
( ( ( ~ q ) = $true )
| ( p = $true )
| ( ( ~ s
| ~ t )
= $true )
| ( ( ~ q ) = $true )
| ( ( ~ s ) = $true )
| ( ( ~ t ) = $true ) ),
inference(extcnf_or_pos,[status(thm)],[115]) ).
thf(124,plain,
( ( ( ~ q ) = $true )
| ( q = $true )
| ( ( ~ s
| ~ t )
= $true )
| ( ( ~ q ) = $true )
| ( ( ~ s ) = $true )
| ( ( ~ t ) = $true ) ),
inference(extcnf_or_pos,[status(thm)],[116]) ).
thf(125,plain,
( ( ( ~ q ) = $true )
| ( s = $true )
| ( ( ~ s
| ~ t )
= $true )
| ( ( ~ q ) = $true )
| ( ( ~ s ) = $true )
| ( ( ~ t ) = $true ) ),
inference(extcnf_or_pos,[status(thm)],[117]) ).
thf(126,plain,
( ( ( ~ q ) = $true )
| ( t = $true )
| ( ( ~ s
| ~ t )
= $true )
| ( ( ~ q ) = $true )
| ( ( ~ s ) = $true )
| ( ( ~ t ) = $true ) ),
inference(extcnf_or_pos,[status(thm)],[118]) ).
thf(127,plain,
( ( s = $false )
| ( ( ~ t ) = $true )
| ( q = $true )
| ( q = $false ) ),
inference(extcnf_not_pos,[status(thm)],[119]) ).
thf(128,plain,
( ( ( ~ p ) = $true )
| ( ( ~ q ) = $true )
| ( ( ~ s
| ~ t )
= $true )
| ( q = $false )
| ( ( ~ s
| ~ t )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[120]) ).
thf(129,plain,
( ( s = $false )
| ( ( ~ t ) = $true )
| ( s = $true )
| ( q = $false ) ),
inference(extcnf_not_pos,[status(thm)],[121]) ).
thf(130,plain,
( ( s = $false )
| ( ( ~ t ) = $true )
| ( t = $true )
| ( q = $false ) ),
inference(extcnf_not_pos,[status(thm)],[122]) ).
thf(131,plain,
( ( q = $false )
| ( p = $true )
| ( ( ~ s
| ~ t )
= $true )
| ( ( ~ q ) = $true )
| ( ( ~ s ) = $true )
| ( ( ~ t ) = $true ) ),
inference(extcnf_not_pos,[status(thm)],[123]) ).
thf(132,plain,
( ( q = $false )
| ( q = $true )
| ( ( ~ s
| ~ t )
= $true )
| ( ( ~ q ) = $true )
| ( ( ~ s ) = $true )
| ( ( ~ t ) = $true ) ),
inference(extcnf_not_pos,[status(thm)],[124]) ).
thf(133,plain,
( ( q = $false )
| ( s = $true )
| ( ( ~ s
| ~ t )
= $true )
| ( ( ~ q ) = $true )
| ( ( ~ s ) = $true )
| ( ( ~ t ) = $true ) ),
inference(extcnf_not_pos,[status(thm)],[125]) ).
thf(134,plain,
( ( q = $false )
| ( t = $true )
| ( ( ~ s
| ~ t )
= $true )
| ( ( ~ q ) = $true )
| ( ( ~ s ) = $true )
| ( ( ~ t ) = $true ) ),
inference(extcnf_not_pos,[status(thm)],[126]) ).
thf(135,plain,
( ( t = $false )
| ( s = $false )
| ( q = $true )
| ( q = $false ) ),
inference(extcnf_not_pos,[status(thm)],[127]) ).
thf(136,plain,
( ( p = $false )
| ( ( ~ q ) = $true )
| ( ( ~ s
| ~ t )
= $true )
| ( q = $false )
| ( ( ~ s
| ~ t )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[128]) ).
thf(137,plain,
( ( t = $false )
| ( s = $false )
| ( s = $true )
| ( q = $false ) ),
inference(extcnf_not_pos,[status(thm)],[129]) ).
thf(138,plain,
( ( t = $false )
| ( s = $false )
| ( t = $true )
| ( q = $false ) ),
inference(extcnf_not_pos,[status(thm)],[130]) ).
thf(139,plain,
( ( ( ~ s ) = $true )
| ( ( ~ t ) = $true )
| ( p = $true )
| ( q = $false )
| ( ( ~ q ) = $true )
| ( ( ~ s ) = $true )
| ( ( ~ t ) = $true ) ),
inference(extcnf_or_pos,[status(thm)],[131]) ).
thf(140,plain,
( ( ( ~ s ) = $true )
| ( ( ~ t ) = $true )
| ( q = $true )
| ( q = $false )
| ( ( ~ q ) = $true )
| ( ( ~ s ) = $true )
| ( ( ~ t ) = $true ) ),
inference(extcnf_or_pos,[status(thm)],[132]) ).
thf(141,plain,
( ( ( ~ s ) = $true )
| ( ( ~ t ) = $true )
| ( s = $true )
| ( q = $false )
| ( ( ~ q ) = $true )
| ( ( ~ s ) = $true )
| ( ( ~ t ) = $true ) ),
inference(extcnf_or_pos,[status(thm)],[133]) ).
thf(142,plain,
( ( ( ~ s ) = $true )
| ( ( ~ t ) = $true )
| ( t = $true )
| ( q = $false )
| ( ( ~ q ) = $true )
| ( ( ~ s ) = $true )
| ( ( ~ t ) = $true ) ),
inference(extcnf_or_pos,[status(thm)],[134]) ).
thf(143,plain,
( ( q = $false )
| ( p = $false )
| ( ( ~ s
| ~ t )
= $true )
| ( q = $false )
| ( ( ~ s
| ~ t )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[136]) ).
thf(144,plain,
( ( s = $false )
| ( ( ~ t ) = $true )
| ( p = $true )
| ( q = $false )
| ( ( ~ q ) = $true )
| ( ( ~ s ) = $true )
| ( ( ~ t ) = $true ) ),
inference(extcnf_not_pos,[status(thm)],[139]) ).
thf(145,plain,
( ( s = $false )
| ( ( ~ t ) = $true )
| ( q = $true )
| ( q = $false )
| ( ( ~ q ) = $true )
| ( ( ~ s ) = $true )
| ( ( ~ t ) = $true ) ),
inference(extcnf_not_pos,[status(thm)],[140]) ).
thf(146,plain,
( ( s = $false )
| ( ( ~ t ) = $true )
| ( s = $true )
| ( q = $false )
| ( ( ~ q ) = $true )
| ( ( ~ s ) = $true )
| ( ( ~ t ) = $true ) ),
inference(extcnf_not_pos,[status(thm)],[141]) ).
thf(147,plain,
( ( s = $false )
| ( ( ~ t ) = $true )
| ( t = $true )
| ( q = $false )
| ( ( ~ q ) = $true )
| ( ( ~ s ) = $true )
| ( ( ~ t ) = $true ) ),
inference(extcnf_not_pos,[status(thm)],[142]) ).
thf(148,plain,
( ( ( ~ s ) = $true )
| ( ( ~ t ) = $true )
| ( p = $false )
| ( q = $false )
| ( q = $false )
| ( ( ~ s
| ~ t )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[143]) ).
thf(149,plain,
( ( t = $false )
| ( s = $false )
| ( p = $true )
| ( q = $false )
| ( ( ~ q ) = $true )
| ( ( ~ s ) = $true )
| ( ( ~ t ) = $true ) ),
inference(extcnf_not_pos,[status(thm)],[144]) ).
thf(150,plain,
( ( t = $false )
| ( s = $false )
| ( q = $true )
| ( q = $false )
| ( ( ~ q ) = $true )
| ( ( ~ s ) = $true )
| ( ( ~ t ) = $true ) ),
inference(extcnf_not_pos,[status(thm)],[145]) ).
thf(151,plain,
( ( t = $false )
| ( s = $false )
| ( s = $true )
| ( q = $false )
| ( ( ~ q ) = $true )
| ( ( ~ s ) = $true )
| ( ( ~ t ) = $true ) ),
inference(extcnf_not_pos,[status(thm)],[146]) ).
thf(152,plain,
( ( t = $false )
| ( s = $false )
| ( t = $true )
| ( q = $false )
| ( ( ~ q ) = $true )
| ( ( ~ s ) = $true )
| ( ( ~ t ) = $true ) ),
inference(extcnf_not_pos,[status(thm)],[147]) ).
thf(153,plain,
( ( s = $false )
| ( ( ~ t ) = $true )
| ( p = $false )
| ( q = $false )
| ( q = $false )
| ( ( ~ s
| ~ t )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[148]) ).
thf(154,plain,
( ( q = $false )
| ( q = $false )
| ( p = $true )
| ( s = $false )
| ( t = $false )
| ( ( ~ s ) = $true )
| ( ( ~ t ) = $true ) ),
inference(extcnf_not_pos,[status(thm)],[149]) ).
thf(155,plain,
( ( q = $false )
| ( q = $false )
| ( q = $true )
| ( s = $false )
| ( t = $false )
| ( ( ~ s ) = $true )
| ( ( ~ t ) = $true ) ),
inference(extcnf_not_pos,[status(thm)],[150]) ).
thf(156,plain,
( ( q = $false )
| ( q = $false )
| ( s = $true )
| ( s = $false )
| ( t = $false )
| ( ( ~ s ) = $true )
| ( ( ~ t ) = $true ) ),
inference(extcnf_not_pos,[status(thm)],[151]) ).
thf(157,plain,
( ( q = $false )
| ( q = $false )
| ( t = $true )
| ( s = $false )
| ( t = $false )
| ( ( ~ s ) = $true )
| ( ( ~ t ) = $true ) ),
inference(extcnf_not_pos,[status(thm)],[152]) ).
thf(158,plain,
( ( t = $false )
| ( s = $false )
| ( p = $false )
| ( q = $false )
| ( q = $false )
| ( ( ~ s
| ~ t )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[153]) ).
thf(159,plain,
( ( s = $false )
| ( t = $false )
| ( s = $false )
| ( p = $true )
| ( q = $false )
| ( q = $false )
| ( ( ~ t ) = $true ) ),
inference(extcnf_not_pos,[status(thm)],[154]) ).
thf(160,plain,
( ( s = $false )
| ( t = $false )
| ( s = $false )
| ( q = $true )
| ( q = $false )
| ( q = $false )
| ( ( ~ t ) = $true ) ),
inference(extcnf_not_pos,[status(thm)],[155]) ).
thf(161,plain,
( ( s = $false )
| ( t = $false )
| ( s = $false )
| ( s = $true )
| ( q = $false )
| ( q = $false )
| ( ( ~ t ) = $true ) ),
inference(extcnf_not_pos,[status(thm)],[156]) ).
thf(162,plain,
( ( s = $false )
| ( t = $false )
| ( s = $false )
| ( t = $true )
| ( q = $false )
| ( q = $false )
| ( ( ~ t ) = $true ) ),
inference(extcnf_not_pos,[status(thm)],[157]) ).
thf(163,plain,
( ( ( ~ s ) = $true )
| ( ( ~ t ) = $true )
| ( q = $false )
| ( q = $false )
| ( p = $false )
| ( s = $false )
| ( t = $false ) ),
inference(extcnf_or_pos,[status(thm)],[158]) ).
thf(164,plain,
( ( t = $false )
| ( q = $false )
| ( q = $false )
| ( p = $true )
| ( s = $false )
| ( t = $false )
| ( s = $false ) ),
inference(extcnf_not_pos,[status(thm)],[159]) ).
thf(165,plain,
( ( t = $false )
| ( q = $false )
| ( q = $false )
| ( q = $true )
| ( s = $false )
| ( t = $false )
| ( s = $false ) ),
inference(extcnf_not_pos,[status(thm)],[160]) ).
thf(166,plain,
( ( t = $false )
| ( q = $false )
| ( q = $false )
| ( s = $true )
| ( s = $false )
| ( t = $false )
| ( s = $false ) ),
inference(extcnf_not_pos,[status(thm)],[161]) ).
thf(167,plain,
( ( t = $false )
| ( q = $false )
| ( q = $false )
| ( t = $true )
| ( s = $false )
| ( t = $false )
| ( s = $false ) ),
inference(extcnf_not_pos,[status(thm)],[162]) ).
thf(168,plain,
( ( s = $false )
| ( ( ~ t ) = $true )
| ( q = $false )
| ( q = $false )
| ( p = $false )
| ( s = $false )
| ( t = $false ) ),
inference(extcnf_not_pos,[status(thm)],[163]) ).
thf(169,plain,
( ( t = $false )
| ( s = $false )
| ( q = $false )
| ( q = $false )
| ( p = $false )
| ( s = $false )
| ( t = $false ) ),
inference(extcnf_not_pos,[status(thm)],[168]) ).
thf(170,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[39,169,167,166,165,164,138,137,135,86,85,80,42,41]) ).
thf(171,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[170]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO090^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.17 % Computer : n010.cluster.edu
% 0.11/0.17 % Model : x86_64 x86_64
% 0.11/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.17 % Memory : 8046.5625MB
% 0.11/0.17 % OS : Linux 6.8.0-71-generic
% 0.11/0.17 % CPULimit : 300
% 0.11/0.17 % WCLimit : 300
% 0.11/0.17 % DateTime : Tue Oct 6 17:32:40 UTC 2026
% 0.11/0.17 % CPUTime :
% 0.11/0.17 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.22
% 0.11/0.22 No.of.Axioms: 0
% 0.11/0.22
% 0.11/0.22 Length.of.Defs: 0
% 0.11/0.22
% 0.11/0.22 Contains.Choice.Funs: false
% 0.11/0.22 ...
% 0.11/0.22
% 0.11/0.22 ********************************
% 0.11/0.22 * All subproblems solved! *
% 0.11/0.22 ********************************
% 0.11/0.22 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:1,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:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:170,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.11/0.22
% 0.11/0.22 %**** Beginning of derivation protocol ****
% 0.11/0.22 % SZS output start CNFRefutation
% See solution above
% 0.11/0.22
% 0.11/0.22 %**** End of derivation protocol ****
% 0.11/0.22 %**** no. of clauses in derivation: 171 ****
% 0.11/0.22 %**** clause counter: 170 ****
% 0.11/0.22
% 0.11/0.22 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:1,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:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:170,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------