TSTP Solution File: SET612^5 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SET612^5 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n016.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 : Tue Jul 19 03:03:29 EDT 2022
% Result : Theorem 0.14s 0.41s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 39
% Number of leaves : 6
% Syntax : Number of formulae : 109 ( 21 unt; 5 typ; 0 def)
% Number of atoms : 982 ( 265 equ; 0 cnn)
% Maximal formula atoms : 7 ( 9 avg)
% Number of connectives : 1550 ( 684 ~; 343 |; 32 &; 491 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 15 ( 15 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 35 ( 22 ^ 13 !; 0 ?; 35 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a,type,
a: $tType ).
thf(tp_sK1_X,type,
sK1_X: a > $o ).
thf(tp_sK2_SY5,type,
sK2_SY5: a > $o ).
thf(tp_sK3_SY9,type,
sK3_SY9: a > $o ).
thf(tp_sK4_SV1,type,
sK4_SV1: a ).
thf(1,conjecture,
! [X: a > $o,Y: a > $o,Z: a > $o] :
( ( ^ [Xx: a] :
( ( X @ Xx )
& ~ ( ( Y @ Xx )
| ( Z @ Xx ) ) ) )
= ( ^ [Xx: a] :
( ( X @ Xx )
& ~ ( Y @ Xx )
& ( X @ Xx )
& ~ ( Z @ Xx ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cBOOL_PROP_85_pme) ).
thf(2,negated_conjecture,
( ( ! [X: a > $o,Y: a > $o,Z: a > $o] :
( ( ^ [Xx: a] :
( ( X @ Xx )
& ~ ( ( Y @ Xx )
| ( Z @ Xx ) ) ) )
= ( ^ [Xx: a] :
( ( X @ Xx )
& ~ ( Y @ Xx )
& ( X @ Xx )
& ~ ( Z @ Xx ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ! [X: a > $o,Y: a > $o,Z: a > $o] :
( ( ^ [Xx: a] :
( ( X @ Xx )
& ~ ( ( Y @ Xx )
| ( Z @ Xx ) ) ) )
= ( ^ [Xx: a] :
( ( X @ Xx )
& ~ ( Y @ Xx )
& ( X @ Xx )
& ~ ( Z @ Xx ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ! [SY5: a > $o,SY6: a > $o] :
( ( ^ [SY7: a] :
( ( sK1_X @ SY7 )
& ~ ( ( SY5 @ SY7 )
| ( SY6 @ SY7 ) ) ) )
= ( ^ [SY8: a] :
( ( sK1_X @ SY8 )
& ~ ( SY5 @ SY8 )
& ( sK1_X @ SY8 )
& ~ ( SY6 @ SY8 ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[3]) ).
thf(5,plain,
( ( ! [SY9: a > $o] :
( ( ^ [SY10: a] :
( ( sK1_X @ SY10 )
& ~ ( ( sK2_SY5 @ SY10 )
| ( SY9 @ SY10 ) ) ) )
= ( ^ [SY11: a] :
( ( sK1_X @ SY11 )
& ~ ( sK2_SY5 @ SY11 )
& ( sK1_X @ SY11 )
& ~ ( SY9 @ SY11 ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[4]) ).
thf(6,plain,
( ( ( ^ [SY12: a] :
( ( sK1_X @ SY12 )
& ~ ( ( sK2_SY5 @ SY12 )
| ( sK3_SY9 @ SY12 ) ) ) )
= ( ^ [SY13: a] :
( ( sK1_X @ SY13 )
& ~ ( sK2_SY5 @ SY13 )
& ( sK1_X @ SY13 )
& ~ ( sK3_SY9 @ SY13 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[5]) ).
thf(7,plain,
( ( ( ( ^ [SY12: a] :
( ( sK1_X @ SY12 )
& ~ ( ( sK2_SY5 @ SY12 )
| ( sK3_SY9 @ SY12 ) ) ) )
!= ( ^ [SY13: a] :
( ( sK1_X @ SY13 )
& ~ ( sK2_SY5 @ SY13 )
& ( sK1_X @ SY13 )
& ~ ( sK3_SY9 @ SY13 ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[6]) ).
thf(8,plain,
( ( ( ( ^ [SY12: a] :
( ( sK1_X @ SY12 )
& ~ ( ( sK2_SY5 @ SY12 )
| ( sK3_SY9 @ SY12 ) ) ) )
!= ( ^ [SY13: a] :
( ( sK1_X @ SY13 )
& ~ ( sK2_SY5 @ SY13 )
& ( sK1_X @ SY13 )
& ~ ( sK3_SY9 @ SY13 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[7]) ).
thf(9,plain,
( ( ( ( ^ [SX0: a] :
~ ( ~ ( sK1_X @ SX0 )
| ~ ~ ( ( sK2_SY5 @ SX0 )
| ( sK3_SY9 @ SX0 ) ) ) )
!= ( ^ [SX0: a] :
~ ( ~ ~ ( ~ ~ ( ~ ( sK1_X @ SX0 )
| ~ ~ ( sK2_SY5 @ SX0 ) )
| ~ ( sK1_X @ SX0 ) )
| ~ ~ ( sK3_SY9 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(10,plain,
( ( ( ^ [SX0: a] :
~ ( ~ ( sK1_X @ SX0 )
| ~ ~ ( ( sK2_SY5 @ SX0 )
| ( sK3_SY9 @ SX0 ) ) ) )
= ( ^ [SX0: a] :
~ ( ~ ~ ( ~ ~ ( ~ ( sK1_X @ SX0 )
| ~ ~ ( sK2_SY5 @ SX0 ) )
| ~ ( sK1_X @ SX0 ) )
| ~ ~ ( sK3_SY9 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[9]) ).
thf(11,plain,
( ( ! [SV1: a] :
( ( ~ ( ~ ( sK1_X @ SV1 )
| ~ ~ ( ( sK2_SY5 @ SV1 )
| ( sK3_SY9 @ SV1 ) ) ) )
= ( ~ ( ~ ~ ( ~ ~ ( ~ ( sK1_X @ SV1 )
| ~ ~ ( sK2_SY5 @ SV1 ) )
| ~ ( sK1_X @ SV1 ) )
| ~ ~ ( sK3_SY9 @ SV1 ) ) ) ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[10]) ).
thf(12,plain,
( ( ( ^ [SX0: a] :
~ ( ~ ( sK1_X @ SX0 )
| ~ ~ ( ( sK2_SY5 @ SX0 )
| ( sK3_SY9 @ SX0 ) ) ) )
= ( ^ [SX0: a] :
~ ( ~ ~ ( ~ ~ ( ~ ( sK1_X @ SX0 )
| ~ ~ ( sK2_SY5 @ SX0 ) )
| ~ ( sK1_X @ SX0 ) )
| ~ ~ ( sK3_SY9 @ SX0 ) ) ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[10]) ).
thf(13,plain,
( ( ( ~ ( ~ ( sK1_X @ sK4_SV1 )
| ~ ~ ( ( sK2_SY5 @ sK4_SV1 )
| ( sK3_SY9 @ sK4_SV1 ) ) ) )
= ( ~ ( ~ ~ ( ~ ~ ( ~ ( sK1_X @ sK4_SV1 )
| ~ ~ ( sK2_SY5 @ sK4_SV1 ) )
| ~ ( sK1_X @ sK4_SV1 ) )
| ~ ~ ( sK3_SY9 @ sK4_SV1 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[11]) ).
thf(14,plain,
( ( ~ ( ~ ( ~ ( sK1_X @ sK4_SV1 )
| ~ ~ ( ( sK2_SY5 @ sK4_SV1 )
| ( sK3_SY9 @ sK4_SV1 ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( sK1_X @ sK4_SV1 )
| ~ ~ ( sK2_SY5 @ sK4_SV1 ) )
| ~ ( sK1_X @ sK4_SV1 ) )
| ~ ~ ( sK3_SY9 @ sK4_SV1 ) ) )
| ~ ( ~ ~ ( ~ ( sK1_X @ sK4_SV1 )
| ~ ~ ( ( sK2_SY5 @ sK4_SV1 )
| ( sK3_SY9 @ sK4_SV1 ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ( sK1_X @ sK4_SV1 )
| ~ ~ ( sK2_SY5 @ sK4_SV1 ) )
| ~ ( sK1_X @ sK4_SV1 ) )
| ~ ~ ( sK3_SY9 @ sK4_SV1 ) ) ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[13]) ).
thf(15,plain,
( ( ( ~ ( ~ ( sK1_X @ sK4_SV1 )
| ~ ~ ( ( sK2_SY5 @ sK4_SV1 )
| ( sK3_SY9 @ sK4_SV1 ) ) ) )
= ( ~ ( ~ ~ ( ~ ~ ( ~ ( sK1_X @ sK4_SV1 )
| ~ ~ ( sK2_SY5 @ sK4_SV1 ) )
| ~ ( sK1_X @ sK4_SV1 ) )
| ~ ~ ( sK3_SY9 @ sK4_SV1 ) ) ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[13]) ).
thf(16,plain,
( ( ~ ( ~ ( ~ ( sK1_X @ sK4_SV1 )
| ~ ~ ( ( sK2_SY5 @ sK4_SV1 )
| ( sK3_SY9 @ sK4_SV1 ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( sK1_X @ sK4_SV1 )
| ~ ~ ( sK2_SY5 @ sK4_SV1 ) )
| ~ ( sK1_X @ sK4_SV1 ) )
| ~ ~ ( sK3_SY9 @ sK4_SV1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[14]) ).
thf(17,plain,
( ( ~ ( ~ ~ ( ~ ( sK1_X @ sK4_SV1 )
| ~ ~ ( ( sK2_SY5 @ sK4_SV1 )
| ( sK3_SY9 @ sK4_SV1 ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ( sK1_X @ sK4_SV1 )
| ~ ~ ( sK2_SY5 @ sK4_SV1 ) )
| ~ ( sK1_X @ sK4_SV1 ) )
| ~ ~ ( sK3_SY9 @ sK4_SV1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[14]) ).
thf(18,plain,
( ( ~ ( ~ ( sK1_X @ sK4_SV1 )
| ~ ~ ( ( sK2_SY5 @ sK4_SV1 )
| ( sK3_SY9 @ sK4_SV1 ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( sK1_X @ sK4_SV1 )
| ~ ~ ( sK2_SY5 @ sK4_SV1 ) )
| ~ ( sK1_X @ sK4_SV1 ) )
| ~ ~ ( sK3_SY9 @ sK4_SV1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[16]) ).
thf(19,plain,
( ( ~ ~ ( ~ ( sK1_X @ sK4_SV1 )
| ~ ~ ( ( sK2_SY5 @ sK4_SV1 )
| ( sK3_SY9 @ sK4_SV1 ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ( sK1_X @ sK4_SV1 )
| ~ ~ ( sK2_SY5 @ sK4_SV1 ) )
| ~ ( sK1_X @ sK4_SV1 ) )
| ~ ~ ( sK3_SY9 @ sK4_SV1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[17]) ).
thf(20,plain,
( ( ( ~ ( ~ ( sK1_X @ sK4_SV1 )
| ~ ~ ( ( sK2_SY5 @ sK4_SV1 )
| ( sK3_SY9 @ sK4_SV1 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( sK1_X @ sK4_SV1 )
| ~ ~ ( sK2_SY5 @ sK4_SV1 ) )
| ~ ( sK1_X @ sK4_SV1 ) )
| ~ ~ ( sK3_SY9 @ sK4_SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[18]) ).
thf(21,plain,
( ( ( ~ ~ ( ~ ( sK1_X @ sK4_SV1 )
| ~ ~ ( ( sK2_SY5 @ sK4_SV1 )
| ( sK3_SY9 @ sK4_SV1 ) ) ) )
= $true )
| ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( sK1_X @ sK4_SV1 )
| ~ ~ ( sK2_SY5 @ sK4_SV1 ) )
| ~ ( sK1_X @ sK4_SV1 ) )
| ~ ~ ( sK3_SY9 @ sK4_SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[19]) ).
thf(22,plain,
( ( ( ~ ( sK1_X @ sK4_SV1 )
| ~ ~ ( ( sK2_SY5 @ sK4_SV1 )
| ( sK3_SY9 @ sK4_SV1 ) ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( sK1_X @ sK4_SV1 )
| ~ ~ ( sK2_SY5 @ sK4_SV1 ) )
| ~ ( sK1_X @ sK4_SV1 ) )
| ~ ~ ( sK3_SY9 @ sK4_SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[20]) ).
thf(23,plain,
( ( ( ~ ( ~ ( sK1_X @ sK4_SV1 )
| ~ ~ ( ( sK2_SY5 @ sK4_SV1 )
| ( sK3_SY9 @ sK4_SV1 ) ) ) )
= $false )
| ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( sK1_X @ sK4_SV1 )
| ~ ~ ( sK2_SY5 @ sK4_SV1 ) )
| ~ ( sK1_X @ sK4_SV1 ) )
| ~ ~ ( sK3_SY9 @ sK4_SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[21]) ).
thf(24,plain,
( ( ( ~ ( sK1_X @ sK4_SV1 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( sK1_X @ sK4_SV1 )
| ~ ~ ( sK2_SY5 @ sK4_SV1 ) )
| ~ ( sK1_X @ sK4_SV1 ) )
| ~ ~ ( sK3_SY9 @ sK4_SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[22]) ).
thf(25,plain,
( ( ( ~ ~ ( ( sK2_SY5 @ sK4_SV1 )
| ( sK3_SY9 @ sK4_SV1 ) ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( sK1_X @ sK4_SV1 )
| ~ ~ ( sK2_SY5 @ sK4_SV1 ) )
| ~ ( sK1_X @ sK4_SV1 ) )
| ~ ~ ( sK3_SY9 @ sK4_SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[22]) ).
thf(26,plain,
( ( ( ~ ( sK1_X @ sK4_SV1 )
| ~ ~ ( ( sK2_SY5 @ sK4_SV1 )
| ( sK3_SY9 @ sK4_SV1 ) ) )
= $true )
| ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( sK1_X @ sK4_SV1 )
| ~ ~ ( sK2_SY5 @ sK4_SV1 ) )
| ~ ( sK1_X @ sK4_SV1 ) )
| ~ ~ ( sK3_SY9 @ sK4_SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[23]) ).
thf(27,plain,
( ( ( sK1_X @ sK4_SV1 )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( sK1_X @ sK4_SV1 )
| ~ ~ ( sK2_SY5 @ sK4_SV1 ) )
| ~ ( sK1_X @ sK4_SV1 ) )
| ~ ~ ( sK3_SY9 @ sK4_SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[24]) ).
thf(28,plain,
( ( ( ~ ( ( sK2_SY5 @ sK4_SV1 )
| ( sK3_SY9 @ sK4_SV1 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( sK1_X @ sK4_SV1 )
| ~ ~ ( sK2_SY5 @ sK4_SV1 ) )
| ~ ( sK1_X @ sK4_SV1 ) )
| ~ ~ ( sK3_SY9 @ sK4_SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[25]) ).
thf(29,plain,
( ( ( ~ ( sK1_X @ sK4_SV1 ) )
= $true )
| ( ( ~ ~ ( ( sK2_SY5 @ sK4_SV1 )
| ( sK3_SY9 @ sK4_SV1 ) ) )
= $true )
| ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( sK1_X @ sK4_SV1 )
| ~ ~ ( sK2_SY5 @ sK4_SV1 ) )
| ~ ( sK1_X @ sK4_SV1 ) )
| ~ ~ ( sK3_SY9 @ sK4_SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[26]) ).
thf(30,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ( sK1_X @ sK4_SV1 )
| ~ ~ ( sK2_SY5 @ sK4_SV1 ) )
| ~ ( sK1_X @ sK4_SV1 ) )
| ~ ~ ( sK3_SY9 @ sK4_SV1 ) )
= $false )
| ( ( sK1_X @ sK4_SV1 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[27]) ).
thf(31,plain,
( ( ( ( sK2_SY5 @ sK4_SV1 )
| ( sK3_SY9 @ sK4_SV1 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( sK1_X @ sK4_SV1 )
| ~ ~ ( sK2_SY5 @ sK4_SV1 ) )
| ~ ( sK1_X @ sK4_SV1 ) )
| ~ ~ ( sK3_SY9 @ sK4_SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[28]) ).
thf(32,plain,
( ( ( sK1_X @ sK4_SV1 )
= $false )
| ( ( ~ ~ ( ( sK2_SY5 @ sK4_SV1 )
| ( sK3_SY9 @ sK4_SV1 ) ) )
= $true )
| ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( sK1_X @ sK4_SV1 )
| ~ ~ ( sK2_SY5 @ sK4_SV1 ) )
| ~ ( sK1_X @ sK4_SV1 ) )
| ~ ~ ( sK3_SY9 @ sK4_SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[29]) ).
thf(33,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ( sK1_X @ sK4_SV1 )
| ~ ~ ( sK2_SY5 @ sK4_SV1 ) )
| ~ ( sK1_X @ sK4_SV1 ) ) )
= $false )
| ( ( sK1_X @ sK4_SV1 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[30]) ).
thf(34,plain,
( ( ( ~ ~ ( sK3_SY9 @ sK4_SV1 ) )
= $false )
| ( ( sK1_X @ sK4_SV1 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[30]) ).
thf(35,plain,
( ( ( sK2_SY5 @ sK4_SV1 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( sK1_X @ sK4_SV1 )
| ~ ~ ( sK2_SY5 @ sK4_SV1 ) )
| ~ ( sK1_X @ sK4_SV1 ) )
| ~ ~ ( sK3_SY9 @ sK4_SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[31]) ).
thf(36,plain,
( ( ( sK3_SY9 @ sK4_SV1 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( sK1_X @ sK4_SV1 )
| ~ ~ ( sK2_SY5 @ sK4_SV1 ) )
| ~ ( sK1_X @ sK4_SV1 ) )
| ~ ~ ( sK3_SY9 @ sK4_SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[31]) ).
thf(37,plain,
( ( ( ~ ( ( sK2_SY5 @ sK4_SV1 )
| ( sK3_SY9 @ sK4_SV1 ) ) )
= $false )
| ( ( sK1_X @ sK4_SV1 )
= $false )
| ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( sK1_X @ sK4_SV1 )
| ~ ~ ( sK2_SY5 @ sK4_SV1 ) )
| ~ ( sK1_X @ sK4_SV1 ) )
| ~ ~ ( sK3_SY9 @ sK4_SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[32]) ).
thf(38,plain,
( ( ( ~ ( ~ ~ ( ~ ( sK1_X @ sK4_SV1 )
| ~ ~ ( sK2_SY5 @ sK4_SV1 ) )
| ~ ( sK1_X @ sK4_SV1 ) ) )
= $true )
| ( ( sK1_X @ sK4_SV1 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[33]) ).
thf(39,plain,
( ( ( ~ ( sK3_SY9 @ sK4_SV1 ) )
= $true )
| ( ( sK1_X @ sK4_SV1 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[34]) ).
thf(40,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ( sK1_X @ sK4_SV1 )
| ~ ~ ( sK2_SY5 @ sK4_SV1 ) )
| ~ ( sK1_X @ sK4_SV1 ) )
| ~ ~ ( sK3_SY9 @ sK4_SV1 ) )
= $false )
| ( ( sK2_SY5 @ sK4_SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[35]) ).
thf(41,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ( sK1_X @ sK4_SV1 )
| ~ ~ ( sK2_SY5 @ sK4_SV1 ) )
| ~ ( sK1_X @ sK4_SV1 ) )
| ~ ~ ( sK3_SY9 @ sK4_SV1 ) )
= $false )
| ( ( sK3_SY9 @ sK4_SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[36]) ).
thf(42,plain,
( ( ( ( sK2_SY5 @ sK4_SV1 )
| ( sK3_SY9 @ sK4_SV1 ) )
= $true )
| ( ( sK1_X @ sK4_SV1 )
= $false )
| ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( sK1_X @ sK4_SV1 )
| ~ ~ ( sK2_SY5 @ sK4_SV1 ) )
| ~ ( sK1_X @ sK4_SV1 ) )
| ~ ~ ( sK3_SY9 @ sK4_SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[37]) ).
thf(43,plain,
( ( ( ~ ~ ( ~ ( sK1_X @ sK4_SV1 )
| ~ ~ ( sK2_SY5 @ sK4_SV1 ) )
| ~ ( sK1_X @ sK4_SV1 ) )
= $false )
| ( ( sK1_X @ sK4_SV1 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[38]) ).
thf(44,plain,
( ( ( sK3_SY9 @ sK4_SV1 )
= $false )
| ( ( sK1_X @ sK4_SV1 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[39]) ).
thf(45,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ( sK1_X @ sK4_SV1 )
| ~ ~ ( sK2_SY5 @ sK4_SV1 ) )
| ~ ( sK1_X @ sK4_SV1 ) ) )
= $false )
| ( ( sK2_SY5 @ sK4_SV1 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[40]) ).
thf(46,plain,
( ( ( ~ ~ ( sK3_SY9 @ sK4_SV1 ) )
= $false )
| ( ( sK2_SY5 @ sK4_SV1 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[40]) ).
thf(47,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ( sK1_X @ sK4_SV1 )
| ~ ~ ( sK2_SY5 @ sK4_SV1 ) )
| ~ ( sK1_X @ sK4_SV1 ) ) )
= $false )
| ( ( sK3_SY9 @ sK4_SV1 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[41]) ).
thf(48,plain,
( ( ( ~ ~ ( sK3_SY9 @ sK4_SV1 ) )
= $false )
| ( ( sK3_SY9 @ sK4_SV1 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[41]) ).
thf(49,plain,
( ( ( sK2_SY5 @ sK4_SV1 )
= $true )
| ( ( sK3_SY9 @ sK4_SV1 )
= $true )
| ( ( sK1_X @ sK4_SV1 )
= $false )
| ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( sK1_X @ sK4_SV1 )
| ~ ~ ( sK2_SY5 @ sK4_SV1 ) )
| ~ ( sK1_X @ sK4_SV1 ) )
| ~ ~ ( sK3_SY9 @ sK4_SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[42]) ).
thf(50,plain,
( ( ( ~ ~ ( ~ ( sK1_X @ sK4_SV1 )
| ~ ~ ( sK2_SY5 @ sK4_SV1 ) ) )
= $false )
| ( ( sK1_X @ sK4_SV1 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[43]) ).
thf(51,plain,
( ( ( ~ ( sK1_X @ sK4_SV1 ) )
= $false )
| ( ( sK1_X @ sK4_SV1 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[43]) ).
thf(52,plain,
( ( ( ~ ( ~ ~ ( ~ ( sK1_X @ sK4_SV1 )
| ~ ~ ( sK2_SY5 @ sK4_SV1 ) )
| ~ ( sK1_X @ sK4_SV1 ) ) )
= $true )
| ( ( sK2_SY5 @ sK4_SV1 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[45]) ).
thf(53,plain,
( ( ( ~ ( sK3_SY9 @ sK4_SV1 ) )
= $true )
| ( ( sK2_SY5 @ sK4_SV1 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[46]) ).
thf(54,plain,
( ( ( ~ ( ~ ~ ( ~ ( sK1_X @ sK4_SV1 )
| ~ ~ ( sK2_SY5 @ sK4_SV1 ) )
| ~ ( sK1_X @ sK4_SV1 ) ) )
= $true )
| ( ( sK3_SY9 @ sK4_SV1 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[47]) ).
thf(55,plain,
( ( ( ~ ( sK3_SY9 @ sK4_SV1 ) )
= $true )
| ( ( sK3_SY9 @ sK4_SV1 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[48]) ).
thf(56,plain,
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( sK1_X @ sK4_SV1 )
| ~ ~ ( sK2_SY5 @ sK4_SV1 ) )
| ~ ( sK1_X @ sK4_SV1 ) )
| ~ ~ ( sK3_SY9 @ sK4_SV1 ) ) )
= $false )
| ( ( sK1_X @ sK4_SV1 )
= $false )
| ( ( sK3_SY9 @ sK4_SV1 )
= $true )
| ( ( sK2_SY5 @ sK4_SV1 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[49]) ).
thf(57,plain,
( ( ( ~ ( ~ ( sK1_X @ sK4_SV1 )
| ~ ~ ( sK2_SY5 @ sK4_SV1 ) ) )
= $true )
| ( ( sK1_X @ sK4_SV1 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[50]) ).
thf(58,plain,
( ( ( sK1_X @ sK4_SV1 )
= $true )
| ( ( sK1_X @ sK4_SV1 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[51]) ).
thf(59,plain,
( ( ( ~ ~ ( ~ ( sK1_X @ sK4_SV1 )
| ~ ~ ( sK2_SY5 @ sK4_SV1 ) )
| ~ ( sK1_X @ sK4_SV1 ) )
= $false )
| ( ( sK2_SY5 @ sK4_SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[52]) ).
thf(60,plain,
( ( ( sK3_SY9 @ sK4_SV1 )
= $false )
| ( ( sK2_SY5 @ sK4_SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[53]) ).
thf(61,plain,
( ( ( ~ ~ ( ~ ( sK1_X @ sK4_SV1 )
| ~ ~ ( sK2_SY5 @ sK4_SV1 ) )
| ~ ( sK1_X @ sK4_SV1 ) )
= $false )
| ( ( sK3_SY9 @ sK4_SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[54]) ).
thf(62,plain,
( ( ( sK3_SY9 @ sK4_SV1 )
= $false )
| ( ( sK3_SY9 @ sK4_SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[55]) ).
thf(63,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ( sK1_X @ sK4_SV1 )
| ~ ~ ( sK2_SY5 @ sK4_SV1 ) )
| ~ ( sK1_X @ sK4_SV1 ) )
| ~ ~ ( sK3_SY9 @ sK4_SV1 ) )
= $true )
| ( ( sK1_X @ sK4_SV1 )
= $false )
| ( ( sK3_SY9 @ sK4_SV1 )
= $true )
| ( ( sK2_SY5 @ sK4_SV1 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[56]) ).
thf(64,plain,
( ( ( ~ ( sK1_X @ sK4_SV1 )
| ~ ~ ( sK2_SY5 @ sK4_SV1 ) )
= $false )
| ( ( sK1_X @ sK4_SV1 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[57]) ).
thf(65,plain,
( ( ( ~ ~ ( ~ ( sK1_X @ sK4_SV1 )
| ~ ~ ( sK2_SY5 @ sK4_SV1 ) ) )
= $false )
| ( ( sK2_SY5 @ sK4_SV1 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[59]) ).
thf(66,plain,
( ( ( ~ ( sK1_X @ sK4_SV1 ) )
= $false )
| ( ( sK2_SY5 @ sK4_SV1 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[59]) ).
thf(67,plain,
( ( ( ~ ~ ( ~ ( sK1_X @ sK4_SV1 )
| ~ ~ ( sK2_SY5 @ sK4_SV1 ) ) )
= $false )
| ( ( sK3_SY9 @ sK4_SV1 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[61]) ).
thf(68,plain,
( ( ( ~ ( sK1_X @ sK4_SV1 ) )
= $false )
| ( ( sK3_SY9 @ sK4_SV1 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[61]) ).
thf(69,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ( sK1_X @ sK4_SV1 )
| ~ ~ ( sK2_SY5 @ sK4_SV1 ) )
| ~ ( sK1_X @ sK4_SV1 ) ) )
= $true )
| ( ( ~ ~ ( sK3_SY9 @ sK4_SV1 ) )
= $true )
| ( ( sK1_X @ sK4_SV1 )
= $false )
| ( ( sK3_SY9 @ sK4_SV1 )
= $true )
| ( ( sK2_SY5 @ sK4_SV1 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[63]) ).
thf(70,plain,
( ( ( ~ ( sK1_X @ sK4_SV1 ) )
= $false )
| ( ( sK1_X @ sK4_SV1 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[64]) ).
thf(71,plain,
( ( ( ~ ~ ( sK2_SY5 @ sK4_SV1 ) )
= $false )
| ( ( sK1_X @ sK4_SV1 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[64]) ).
thf(72,plain,
( ( ( ~ ( ~ ( sK1_X @ sK4_SV1 )
| ~ ~ ( sK2_SY5 @ sK4_SV1 ) ) )
= $true )
| ( ( sK2_SY5 @ sK4_SV1 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[65]) ).
thf(73,plain,
( ( ( sK1_X @ sK4_SV1 )
= $true )
| ( ( sK2_SY5 @ sK4_SV1 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[66]) ).
thf(74,plain,
( ( ( ~ ( ~ ( sK1_X @ sK4_SV1 )
| ~ ~ ( sK2_SY5 @ sK4_SV1 ) ) )
= $true )
| ( ( sK3_SY9 @ sK4_SV1 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[67]) ).
thf(75,plain,
( ( ( sK1_X @ sK4_SV1 )
= $true )
| ( ( sK3_SY9 @ sK4_SV1 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[68]) ).
thf(76,plain,
( ( ( ~ ( ~ ~ ( ~ ( sK1_X @ sK4_SV1 )
| ~ ~ ( sK2_SY5 @ sK4_SV1 ) )
| ~ ( sK1_X @ sK4_SV1 ) ) )
= $false )
| ( ( ~ ~ ( sK3_SY9 @ sK4_SV1 ) )
= $true )
| ( ( sK1_X @ sK4_SV1 )
= $false )
| ( ( sK3_SY9 @ sK4_SV1 )
= $true )
| ( ( sK2_SY5 @ sK4_SV1 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[69]) ).
thf(77,plain,
( ( ( sK1_X @ sK4_SV1 )
= $true )
| ( ( sK1_X @ sK4_SV1 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[70]) ).
thf(78,plain,
( ( ( ~ ( sK2_SY5 @ sK4_SV1 ) )
= $true )
| ( ( sK1_X @ sK4_SV1 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[71]) ).
thf(79,plain,
( ( ( ~ ( sK1_X @ sK4_SV1 )
| ~ ~ ( sK2_SY5 @ sK4_SV1 ) )
= $false )
| ( ( sK2_SY5 @ sK4_SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[72]) ).
thf(80,plain,
( ( ( ~ ( sK1_X @ sK4_SV1 )
| ~ ~ ( sK2_SY5 @ sK4_SV1 ) )
= $false )
| ( ( sK3_SY9 @ sK4_SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[74]) ).
thf(81,plain,
( ( ( ~ ~ ( ~ ( sK1_X @ sK4_SV1 )
| ~ ~ ( sK2_SY5 @ sK4_SV1 ) )
| ~ ( sK1_X @ sK4_SV1 ) )
= $true )
| ( ( ~ ~ ( sK3_SY9 @ sK4_SV1 ) )
= $true )
| ( ( sK1_X @ sK4_SV1 )
= $false )
| ( ( sK3_SY9 @ sK4_SV1 )
= $true )
| ( ( sK2_SY5 @ sK4_SV1 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[76]) ).
thf(82,plain,
( ( ( sK2_SY5 @ sK4_SV1 )
= $false )
| ( ( sK1_X @ sK4_SV1 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[78]) ).
thf(83,plain,
( ( ( ~ ( sK1_X @ sK4_SV1 ) )
= $false )
| ( ( sK2_SY5 @ sK4_SV1 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[79]) ).
thf(84,plain,
( ( ( ~ ~ ( sK2_SY5 @ sK4_SV1 ) )
= $false )
| ( ( sK2_SY5 @ sK4_SV1 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[79]) ).
thf(85,plain,
( ( ( ~ ( sK1_X @ sK4_SV1 ) )
= $false )
| ( ( sK3_SY9 @ sK4_SV1 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[80]) ).
thf(86,plain,
( ( ( ~ ~ ( sK2_SY5 @ sK4_SV1 ) )
= $false )
| ( ( sK3_SY9 @ sK4_SV1 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[80]) ).
thf(87,plain,
( ( ( ~ ~ ( ~ ( sK1_X @ sK4_SV1 )
| ~ ~ ( sK2_SY5 @ sK4_SV1 ) ) )
= $true )
| ( ( ~ ( sK1_X @ sK4_SV1 ) )
= $true )
| ( ( ~ ~ ( sK3_SY9 @ sK4_SV1 ) )
= $true )
| ( ( sK1_X @ sK4_SV1 )
= $false )
| ( ( sK3_SY9 @ sK4_SV1 )
= $true )
| ( ( sK2_SY5 @ sK4_SV1 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[81]) ).
thf(88,plain,
( ( ( sK1_X @ sK4_SV1 )
= $true )
| ( ( sK2_SY5 @ sK4_SV1 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[83]) ).
thf(89,plain,
( ( ( ~ ( sK2_SY5 @ sK4_SV1 ) )
= $true )
| ( ( sK2_SY5 @ sK4_SV1 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[84]) ).
thf(90,plain,
( ( ( sK1_X @ sK4_SV1 )
= $true )
| ( ( sK3_SY9 @ sK4_SV1 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[85]) ).
thf(91,plain,
( ( ( ~ ( sK2_SY5 @ sK4_SV1 ) )
= $true )
| ( ( sK3_SY9 @ sK4_SV1 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[86]) ).
thf(92,plain,
( ( ( ~ ( ~ ( sK1_X @ sK4_SV1 )
| ~ ~ ( sK2_SY5 @ sK4_SV1 ) ) )
= $false )
| ( ( ~ ( sK1_X @ sK4_SV1 ) )
= $true )
| ( ( ~ ~ ( sK3_SY9 @ sK4_SV1 ) )
= $true )
| ( ( sK1_X @ sK4_SV1 )
= $false )
| ( ( sK3_SY9 @ sK4_SV1 )
= $true )
| ( ( sK2_SY5 @ sK4_SV1 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[87]) ).
thf(93,plain,
( ( ( sK2_SY5 @ sK4_SV1 )
= $false )
| ( ( sK2_SY5 @ sK4_SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[89]) ).
thf(94,plain,
( ( ( sK2_SY5 @ sK4_SV1 )
= $false )
| ( ( sK3_SY9 @ sK4_SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[91]) ).
thf(95,plain,
( ( ( ~ ( sK1_X @ sK4_SV1 )
| ~ ~ ( sK2_SY5 @ sK4_SV1 ) )
= $true )
| ( ( ~ ( sK1_X @ sK4_SV1 ) )
= $true )
| ( ( ~ ~ ( sK3_SY9 @ sK4_SV1 ) )
= $true )
| ( ( sK1_X @ sK4_SV1 )
= $false )
| ( ( sK3_SY9 @ sK4_SV1 )
= $true )
| ( ( sK2_SY5 @ sK4_SV1 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[92]) ).
thf(96,plain,
( ( ( ~ ( sK1_X @ sK4_SV1 ) )
= $true )
| ( ( ~ ~ ( sK2_SY5 @ sK4_SV1 ) )
= $true )
| ( ( ~ ( sK1_X @ sK4_SV1 ) )
= $true )
| ( ( ~ ~ ( sK3_SY9 @ sK4_SV1 ) )
= $true )
| ( ( sK1_X @ sK4_SV1 )
= $false )
| ( ( sK3_SY9 @ sK4_SV1 )
= $true )
| ( ( sK2_SY5 @ sK4_SV1 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[95]) ).
thf(97,plain,
( ( ( sK1_X @ sK4_SV1 )
= $false )
| ( ( ~ ~ ( sK2_SY5 @ sK4_SV1 ) )
= $true )
| ( ( ~ ( sK1_X @ sK4_SV1 ) )
= $true )
| ( ( ~ ~ ( sK3_SY9 @ sK4_SV1 ) )
= $true )
| ( ( sK1_X @ sK4_SV1 )
= $false )
| ( ( sK3_SY9 @ sK4_SV1 )
= $true )
| ( ( sK2_SY5 @ sK4_SV1 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[96]) ).
thf(98,plain,
( ( ( ~ ( sK2_SY5 @ sK4_SV1 ) )
= $false )
| ( ( sK1_X @ sK4_SV1 )
= $false )
| ( ( ~ ( sK1_X @ sK4_SV1 ) )
= $true )
| ( ( ~ ~ ( sK3_SY9 @ sK4_SV1 ) )
= $true )
| ( ( sK1_X @ sK4_SV1 )
= $false )
| ( ( sK3_SY9 @ sK4_SV1 )
= $true )
| ( ( sK2_SY5 @ sK4_SV1 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[97]) ).
thf(99,plain,
( ( ( sK2_SY5 @ sK4_SV1 )
= $true )
| ( ( sK1_X @ sK4_SV1 )
= $false )
| ( ( ~ ( sK1_X @ sK4_SV1 ) )
= $true )
| ( ( ~ ~ ( sK3_SY9 @ sK4_SV1 ) )
= $true )
| ( ( sK1_X @ sK4_SV1 )
= $false )
| ( ( sK3_SY9 @ sK4_SV1 )
= $true )
| ( ( sK2_SY5 @ sK4_SV1 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[98]) ).
thf(100,plain,
( ( ( sK1_X @ sK4_SV1 )
= $false )
| ( ( sK1_X @ sK4_SV1 )
= $false )
| ( ( sK2_SY5 @ sK4_SV1 )
= $true )
| ( ( ~ ~ ( sK3_SY9 @ sK4_SV1 ) )
= $true )
| ( ( sK1_X @ sK4_SV1 )
= $false )
| ( ( sK3_SY9 @ sK4_SV1 )
= $true )
| ( ( sK2_SY5 @ sK4_SV1 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[99]) ).
thf(101,plain,
( ( ( ~ ( sK3_SY9 @ sK4_SV1 ) )
= $false )
| ( ( sK2_SY5 @ sK4_SV1 )
= $true )
| ( ( sK1_X @ sK4_SV1 )
= $false )
| ( ( sK1_X @ sK4_SV1 )
= $false )
| ( ( sK1_X @ sK4_SV1 )
= $false )
| ( ( sK3_SY9 @ sK4_SV1 )
= $true )
| ( ( sK2_SY5 @ sK4_SV1 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[100]) ).
thf(102,plain,
( ( ( sK3_SY9 @ sK4_SV1 )
= $true )
| ( ( sK2_SY5 @ sK4_SV1 )
= $true )
| ( ( sK1_X @ sK4_SV1 )
= $false )
| ( ( sK1_X @ sK4_SV1 )
= $false )
| ( ( sK1_X @ sK4_SV1 )
= $false )
| ( ( sK3_SY9 @ sK4_SV1 )
= $true )
| ( ( sK2_SY5 @ sK4_SV1 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[101]) ).
thf(103,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[12,102,94,93,90,88,82,77,75,73,62,60,58,44,15]) ).
thf(104,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[103]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : SET612^5 : TPTP v8.1.0. Released v4.0.0.
% 0.13/0.14 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.14/0.36 % Computer : n016.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Mon Jul 11 07:39:12 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.14/0.37
% 0.14/0.37 No.of.Axioms: 0
% 0.14/0.37
% 0.14/0.37 Length.of.Defs: 0
% 0.14/0.37
% 0.14/0.37 Contains.Choice.Funs: false
% 0.14/0.37 (rf:0,axioms:0,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:10,ordering:none,proof_output:1,protocol_output:false,clause_count:2,loop_count:0,foatp_calls:0,translation:fof_full).
% 0.14/0.41
% 0.14/0.41 ********************************
% 0.14/0.41 * All subproblems solved! *
% 0.14/0.41 ********************************
% 0.14/0.41 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:0,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:10,ordering:none,proof_output:1,protocol_output:false,clause_count:103,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.14/0.42
% 0.14/0.42 %**** Beginning of derivation protocol ****
% 0.14/0.42 % SZS output start CNFRefutation
% See solution above
% 0.14/0.42
% 0.14/0.42 %**** End of derivation protocol ****
% 0.14/0.42 %**** no. of clauses in derivation: 104 ****
% 0.14/0.42 %**** clause counter: 103 ****
% 0.14/0.42
% 0.14/0.42 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:0,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:10,ordering:none,proof_output:1,protocol_output:false,clause_count:103,loop_count:0,foatp_calls:1,translation:fof_full)
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