TSTP Solution File: SEV241^5 by LEO-II---1.7.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SEV241^5 : 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 : n008.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 17:35:50 EDT 2022
% Result : Theorem 0.12s 0.40s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 6
% Syntax : Number of formulae : 160 ( 20 unt; 5 typ; 0 def)
% Number of atoms : 1696 ( 572 equ; 0 cnn)
% Maximal formula atoms : 4 ( 10 avg)
% Number of connectives : 1141 ( 189 ~; 399 |; 6 &; 537 @)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 9 ( 9 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 230 ( 0 ^ 230 !; 0 ?; 230 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a,type,
a: $tType ).
thf(tp_cU,type,
cU: a > $o ).
thf(tp_cW,type,
cW: a > $o ).
thf(tp_sK1_Xx,type,
sK1_Xx: a ).
thf(tp_sK2_SY2,type,
sK2_SY2: a > $o ).
thf(1,conjecture,
! [Xx: a] :
( ( ( cU @ Xx )
& ( cW @ Xx ) )
=> ! [S: a > $o] :
( ( ( S = cU )
| ( S = cW ) )
=> ( S @ Xx ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cX5201A_pme) ).
thf(2,negated_conjecture,
( ( ! [Xx: a] :
( ( ( cU @ Xx )
& ( cW @ Xx ) )
=> ! [S: a > $o] :
( ( ( S = cU )
| ( S = cW ) )
=> ( S @ Xx ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ! [Xx: a] :
( ( ( cU @ Xx )
& ( cW @ Xx ) )
=> ! [S: a > $o] :
( ( ( S = cU )
| ( S = cW ) )
=> ( S @ Xx ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ( ( cU @ sK1_Xx )
& ( cW @ sK1_Xx ) )
=> ! [SY2: a > $o] :
( ( ( SY2 = cU )
| ( SY2 = cW ) )
=> ( SY2 @ sK1_Xx ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[3]) ).
thf(5,plain,
( ( cU @ sK1_Xx )
= $true ),
inference(standard_cnf,[status(thm)],[4]) ).
thf(6,plain,
( ( cW @ sK1_Xx )
= $true ),
inference(standard_cnf,[status(thm)],[4]) ).
thf(7,plain,
( ( ! [SY2: a > $o] :
( ( ( SY2 = cU )
| ( SY2 = cW ) )
=> ( SY2 @ sK1_Xx ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[4]) ).
thf(8,plain,
( ( ~ ! [SY2: a > $o] :
( ( ( SY2 = cU )
| ( SY2 = cW ) )
=> ( SY2 @ sK1_Xx ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[7]) ).
thf(9,plain,
( ( ( ( sK2_SY2 = cU )
| ( sK2_SY2 = cW ) )
& ~ ( sK2_SY2 @ sK1_Xx ) )
= $true ),
inference(extcnf_combined,[status(esa)],[8]) ).
thf(10,plain,
( ( cW @ sK1_Xx )
= $true ),
inference(copy,[status(thm)],[6]) ).
thf(11,plain,
( ( cU @ sK1_Xx )
= $true ),
inference(copy,[status(thm)],[5]) ).
thf(12,plain,
( ( ( ( sK2_SY2 = cU )
| ( sK2_SY2 = cW ) )
& ~ ( sK2_SY2 @ sK1_Xx ) )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(13,plain,
( ( ~ ( ~ ( ( sK2_SY2 = cU )
| ( sK2_SY2 = cW ) )
| ~ ~ ( sK2_SY2 @ sK1_Xx ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(14,plain,
( ( ~ ( ( sK2_SY2 = cU )
| ( sK2_SY2 = cW ) )
| ~ ~ ( sK2_SY2 @ sK1_Xx ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[13]) ).
thf(15,plain,
( ( ~ ( ( sK2_SY2 = cU )
| ( sK2_SY2 = cW ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[14]) ).
thf(16,plain,
( ( ~ ~ ( sK2_SY2 @ sK1_Xx ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[14]) ).
thf(17,plain,
( ( ( sK2_SY2 = cU )
| ( sK2_SY2 = cW ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[15]) ).
thf(18,plain,
( ( ~ ( sK2_SY2 @ sK1_Xx ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[16]) ).
thf(19,plain,
( ( ( sK2_SY2 = cU )
= $true )
| ( ( sK2_SY2 = cW )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[17]) ).
thf(20,plain,
( ( sK2_SY2 @ sK1_Xx )
= $false ),
inference(extcnf_not_pos,[status(thm)],[18]) ).
thf(21,plain,
( ( ( ! [SV1: a] :
( ( sK2_SY2 @ SV1 )
= ( cU @ SV1 ) ) )
= $true )
| ( ( sK2_SY2 = cW )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[19]) ).
thf(22,plain,
( ( ( sK2_SY2 = cU )
= $true )
| ( ( sK2_SY2 = cW )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[19]) ).
thf(23,plain,
! [SV2: a] :
( ( ( ( sK2_SY2 @ SV2 )
= ( cU @ SV2 ) )
= $true )
| ( ( sK2_SY2 = cW )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[21]) ).
thf(24,plain,
( ( ( ! [SV3: a] :
( ( sK2_SY2 @ SV3 )
= ( cW @ SV3 ) ) )
= $true )
| ( ( sK2_SY2 = cU )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[22]) ).
thf(25,plain,
( ( ( sK2_SY2 = cW )
= $true )
| ( ( sK2_SY2 = cU )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[22]) ).
thf(26,plain,
! [SV2: a] :
( ( ( ~ ( ( sK2_SY2 @ SV2 )
| ( cU @ SV2 ) )
| ~ ( ~ ( sK2_SY2 @ SV2 )
| ~ ( cU @ SV2 ) ) )
= $true )
| ( ( sK2_SY2 = cW )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[23]) ).
thf(27,plain,
! [SV2: a] :
( ( ( ( sK2_SY2 @ SV2 )
= ( cU @ SV2 ) )
= $true )
| ( ( sK2_SY2 = cW )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[23]) ).
thf(28,plain,
! [SV4: a] :
( ( ( ( sK2_SY2 @ SV4 )
= ( cW @ SV4 ) )
= $true )
| ( ( sK2_SY2 = cU )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[24]) ).
thf(29,plain,
! [SV2: a] :
( ( ( ~ ( ( sK2_SY2 @ SV2 )
| ( cU @ SV2 ) ) )
= $true )
| ( ( ~ ( ~ ( sK2_SY2 @ SV2 )
| ~ ( cU @ SV2 ) ) )
= $true )
| ( ( sK2_SY2 = cW )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[26]) ).
thf(30,plain,
! [SV2: a] :
( ( ( ! [SV5: a] :
( ( sK2_SY2 @ SV5 )
= ( cW @ SV5 ) ) )
= $true )
| ( ( ( sK2_SY2 @ SV2 )
= ( cU @ SV2 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[27]) ).
thf(31,plain,
! [SV2: a] :
( ( ( sK2_SY2 = cW )
= $true )
| ( ( ( sK2_SY2 @ SV2 )
= ( cU @ SV2 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[27]) ).
thf(32,plain,
! [SV4: a] :
( ( ( ~ ( ( sK2_SY2 @ SV4 )
| ( cW @ SV4 ) )
| ~ ( ~ ( sK2_SY2 @ SV4 )
| ~ ( cW @ SV4 ) ) )
= $true )
| ( ( sK2_SY2 = cU )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[28]) ).
thf(33,plain,
! [SV4: a] :
( ( ( ( sK2_SY2 @ SV4 )
= ( cW @ SV4 ) )
= $true )
| ( ( sK2_SY2 = cU )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[28]) ).
thf(34,plain,
! [SV2: a] :
( ( ( ( sK2_SY2 @ SV2 )
| ( cU @ SV2 ) )
= $false )
| ( ( ~ ( ~ ( sK2_SY2 @ SV2 )
| ~ ( cU @ SV2 ) ) )
= $true )
| ( ( sK2_SY2 = cW )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[29]) ).
thf(35,plain,
! [SV2: a,SV6: a] :
( ( ( ( sK2_SY2 @ SV6 )
= ( cW @ SV6 ) )
= $true )
| ( ( ( sK2_SY2 @ SV2 )
= ( cU @ SV2 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[30]) ).
thf(36,plain,
! [SV4: a] :
( ( ( ~ ( ( sK2_SY2 @ SV4 )
| ( cW @ SV4 ) ) )
= $true )
| ( ( ~ ( ~ ( sK2_SY2 @ SV4 )
| ~ ( cW @ SV4 ) ) )
= $true )
| ( ( sK2_SY2 = cU )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[32]) ).
thf(37,plain,
! [SV2: a] :
( ( ( sK2_SY2 @ SV2 )
= $false )
| ( ( ~ ( ~ ( sK2_SY2 @ SV2 )
| ~ ( cU @ SV2 ) ) )
= $true )
| ( ( sK2_SY2 = cW )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[34]) ).
thf(38,plain,
! [SV2: a] :
( ( ( cU @ SV2 )
= $false )
| ( ( ~ ( ~ ( sK2_SY2 @ SV2 )
| ~ ( cU @ SV2 ) ) )
= $true )
| ( ( sK2_SY2 = cW )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[34]) ).
thf(39,plain,
! [SV2: a,SV6: a] :
( ( ( ~ ( ( sK2_SY2 @ SV6 )
| ( cW @ SV6 ) )
| ~ ( ~ ( sK2_SY2 @ SV6 )
| ~ ( cW @ SV6 ) ) )
= $true )
| ( ( ( sK2_SY2 @ SV2 )
= ( cU @ SV2 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[35]) ).
thf(40,plain,
! [SV2: a,SV6: a] :
( ( ( ( sK2_SY2 @ SV6 )
= ( cW @ SV6 ) )
= $true )
| ( ( ( sK2_SY2 @ SV2 )
= ( cU @ SV2 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[35]) ).
thf(41,plain,
! [SV4: a] :
( ( ( ( sK2_SY2 @ SV4 )
| ( cW @ SV4 ) )
= $false )
| ( ( ~ ( ~ ( sK2_SY2 @ SV4 )
| ~ ( cW @ SV4 ) ) )
= $true )
| ( ( sK2_SY2 = cU )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[36]) ).
thf(42,plain,
! [SV2: a] :
( ( ( ~ ( sK2_SY2 @ SV2 )
| ~ ( cU @ SV2 ) )
= $false )
| ( ( sK2_SY2 @ SV2 )
= $false )
| ( ( sK2_SY2 = cW )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[37]) ).
thf(43,plain,
! [SV2: a] :
( ( ( ~ ( sK2_SY2 @ SV2 )
| ~ ( cU @ SV2 ) )
= $false )
| ( ( cU @ SV2 )
= $false )
| ( ( sK2_SY2 = cW )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[38]) ).
thf(44,plain,
! [SV2: a,SV6: a] :
( ( ( ~ ( ( sK2_SY2 @ SV6 )
| ( cW @ SV6 ) ) )
= $true )
| ( ( ~ ( ~ ( sK2_SY2 @ SV6 )
| ~ ( cW @ SV6 ) ) )
= $true )
| ( ( ( sK2_SY2 @ SV2 )
= ( cU @ SV2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[39]) ).
thf(45,plain,
! [SV4: a] :
( ( ( sK2_SY2 @ SV4 )
= $false )
| ( ( ~ ( ~ ( sK2_SY2 @ SV4 )
| ~ ( cW @ SV4 ) ) )
= $true )
| ( ( sK2_SY2 = cU )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[41]) ).
thf(46,plain,
! [SV4: a] :
( ( ( cW @ SV4 )
= $false )
| ( ( ~ ( ~ ( sK2_SY2 @ SV4 )
| ~ ( cW @ SV4 ) ) )
= $true )
| ( ( sK2_SY2 = cU )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[41]) ).
thf(47,plain,
! [SV2: a] :
( ( ( ~ ( sK2_SY2 @ SV2 ) )
= $false )
| ( ( sK2_SY2 @ SV2 )
= $false )
| ( ( sK2_SY2 = cW )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[42]) ).
thf(48,plain,
! [SV2: a] :
( ( ( ~ ( cU @ SV2 ) )
= $false )
| ( ( sK2_SY2 @ SV2 )
= $false )
| ( ( sK2_SY2 = cW )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[42]) ).
thf(49,plain,
! [SV2: a] :
( ( ( ~ ( sK2_SY2 @ SV2 ) )
= $false )
| ( ( cU @ SV2 )
= $false )
| ( ( sK2_SY2 = cW )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[43]) ).
thf(50,plain,
! [SV2: a] :
( ( ( ~ ( cU @ SV2 ) )
= $false )
| ( ( cU @ SV2 )
= $false )
| ( ( sK2_SY2 = cW )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[43]) ).
thf(51,plain,
! [SV2: a,SV6: a] :
( ( ( ( sK2_SY2 @ SV6 )
| ( cW @ SV6 ) )
= $false )
| ( ( ~ ( ~ ( sK2_SY2 @ SV6 )
| ~ ( cW @ SV6 ) ) )
= $true )
| ( ( ( sK2_SY2 @ SV2 )
= ( cU @ SV2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[44]) ).
thf(52,plain,
! [SV4: a] :
( ( ( ~ ( sK2_SY2 @ SV4 )
| ~ ( cW @ SV4 ) )
= $false )
| ( ( sK2_SY2 @ SV4 )
= $false )
| ( ( sK2_SY2 = cU )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[45]) ).
thf(53,plain,
! [SV4: a] :
( ( ( ~ ( sK2_SY2 @ SV4 )
| ~ ( cW @ SV4 ) )
= $false )
| ( ( cW @ SV4 )
= $false )
| ( ( sK2_SY2 = cU )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[46]) ).
thf(54,plain,
! [SV2: a] :
( ( ( sK2_SY2 @ SV2 )
= $true )
| ( ( sK2_SY2 @ SV2 )
= $false )
| ( ( sK2_SY2 = cW )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[47]) ).
thf(55,plain,
! [SV2: a] :
( ( ( cU @ SV2 )
= $true )
| ( ( sK2_SY2 @ SV2 )
= $false )
| ( ( sK2_SY2 = cW )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[48]) ).
thf(56,plain,
! [SV2: a] :
( ( ( sK2_SY2 @ SV2 )
= $true )
| ( ( cU @ SV2 )
= $false )
| ( ( sK2_SY2 = cW )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[49]) ).
thf(57,plain,
! [SV2: a] :
( ( ( cU @ SV2 )
= $true )
| ( ( cU @ SV2 )
= $false )
| ( ( sK2_SY2 = cW )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[50]) ).
thf(58,plain,
! [SV2: a,SV6: a] :
( ( ( sK2_SY2 @ SV6 )
= $false )
| ( ( ~ ( ~ ( sK2_SY2 @ SV6 )
| ~ ( cW @ SV6 ) ) )
= $true )
| ( ( ( sK2_SY2 @ SV2 )
= ( cU @ SV2 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[51]) ).
thf(59,plain,
! [SV2: a,SV6: a] :
( ( ( cW @ SV6 )
= $false )
| ( ( ~ ( ~ ( sK2_SY2 @ SV6 )
| ~ ( cW @ SV6 ) ) )
= $true )
| ( ( ( sK2_SY2 @ SV2 )
= ( cU @ SV2 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[51]) ).
thf(60,plain,
! [SV4: a] :
( ( ( ~ ( sK2_SY2 @ SV4 ) )
= $false )
| ( ( sK2_SY2 @ SV4 )
= $false )
| ( ( sK2_SY2 = cU )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[52]) ).
thf(61,plain,
! [SV4: a] :
( ( ( ~ ( cW @ SV4 ) )
= $false )
| ( ( sK2_SY2 @ SV4 )
= $false )
| ( ( sK2_SY2 = cU )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[52]) ).
thf(62,plain,
! [SV4: a] :
( ( ( ~ ( sK2_SY2 @ SV4 ) )
= $false )
| ( ( cW @ SV4 )
= $false )
| ( ( sK2_SY2 = cU )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[53]) ).
thf(63,plain,
! [SV4: a] :
( ( ( ~ ( cW @ SV4 ) )
= $false )
| ( ( cW @ SV4 )
= $false )
| ( ( sK2_SY2 = cU )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[53]) ).
thf(64,plain,
! [SV2: a] :
( ( ( ! [SV7: a] :
( ( sK2_SY2 @ SV7 )
= ( cW @ SV7 ) ) )
= $true )
| ( ( sK2_SY2 @ SV2 )
= $false )
| ( ( sK2_SY2 @ SV2 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[54]) ).
thf(65,plain,
! [SV2: a] :
( ( ( sK2_SY2 = cW )
= $true )
| ( ( sK2_SY2 @ SV2 )
= $false )
| ( ( sK2_SY2 @ SV2 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[54]) ).
thf(66,plain,
! [SV2: a] :
( ( ( ! [SV8: a] :
( ( sK2_SY2 @ SV8 )
= ( cW @ SV8 ) ) )
= $true )
| ( ( sK2_SY2 @ SV2 )
= $false )
| ( ( cU @ SV2 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[55]) ).
thf(67,plain,
! [SV2: a] :
( ( ( sK2_SY2 = cW )
= $true )
| ( ( sK2_SY2 @ SV2 )
= $false )
| ( ( cU @ SV2 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[55]) ).
thf(68,plain,
! [SV2: a] :
( ( ( ! [SV9: a] :
( ( sK2_SY2 @ SV9 )
= ( cW @ SV9 ) ) )
= $true )
| ( ( cU @ SV2 )
= $false )
| ( ( sK2_SY2 @ SV2 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[56]) ).
thf(69,plain,
! [SV2: a] :
( ( ( sK2_SY2 = cW )
= $true )
| ( ( cU @ SV2 )
= $false )
| ( ( sK2_SY2 @ SV2 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[56]) ).
thf(70,plain,
! [SV2: a] :
( ( ( ! [SV10: a] :
( ( sK2_SY2 @ SV10 )
= ( cW @ SV10 ) ) )
= $true )
| ( ( cU @ SV2 )
= $false )
| ( ( cU @ SV2 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[57]) ).
thf(71,plain,
! [SV2: a] :
( ( ( sK2_SY2 = cW )
= $true )
| ( ( cU @ SV2 )
= $false )
| ( ( cU @ SV2 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[57]) ).
thf(72,plain,
! [SV2: a,SV6: a] :
( ( ( ~ ( sK2_SY2 @ SV6 )
| ~ ( cW @ SV6 ) )
= $false )
| ( ( sK2_SY2 @ SV6 )
= $false )
| ( ( ( sK2_SY2 @ SV2 )
= ( cU @ SV2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[58]) ).
thf(73,plain,
! [SV2: a,SV6: a] :
( ( ( ~ ( sK2_SY2 @ SV6 )
| ~ ( cW @ SV6 ) )
= $false )
| ( ( cW @ SV6 )
= $false )
| ( ( ( sK2_SY2 @ SV2 )
= ( cU @ SV2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[59]) ).
thf(74,plain,
! [SV4: a] :
( ( ( sK2_SY2 @ SV4 )
= $true )
| ( ( sK2_SY2 @ SV4 )
= $false )
| ( ( sK2_SY2 = cU )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[60]) ).
thf(75,plain,
! [SV4: a] :
( ( ( cW @ SV4 )
= $true )
| ( ( sK2_SY2 @ SV4 )
= $false )
| ( ( sK2_SY2 = cU )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[61]) ).
thf(76,plain,
! [SV4: a] :
( ( ( sK2_SY2 @ SV4 )
= $true )
| ( ( cW @ SV4 )
= $false )
| ( ( sK2_SY2 = cU )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[62]) ).
thf(77,plain,
! [SV4: a] :
( ( ( cW @ SV4 )
= $true )
| ( ( cW @ SV4 )
= $false )
| ( ( sK2_SY2 = cU )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[63]) ).
thf(78,plain,
! [SV2: a,SV11: a] :
( ( ( ( sK2_SY2 @ SV11 )
= ( cW @ SV11 ) )
= $true )
| ( ( sK2_SY2 @ SV2 )
= $false )
| ( ( sK2_SY2 @ SV2 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[64]) ).
thf(79,plain,
! [SV2: a,SV12: a] :
( ( ( ( sK2_SY2 @ SV12 )
= ( cW @ SV12 ) )
= $true )
| ( ( sK2_SY2 @ SV2 )
= $false )
| ( ( cU @ SV2 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[66]) ).
thf(80,plain,
! [SV2: a,SV13: a] :
( ( ( ( sK2_SY2 @ SV13 )
= ( cW @ SV13 ) )
= $true )
| ( ( cU @ SV2 )
= $false )
| ( ( sK2_SY2 @ SV2 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[68]) ).
thf(81,plain,
! [SV2: a,SV14: a] :
( ( ( ( sK2_SY2 @ SV14 )
= ( cW @ SV14 ) )
= $true )
| ( ( cU @ SV2 )
= $false )
| ( ( cU @ SV2 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[70]) ).
thf(82,plain,
! [SV2: a,SV6: a] :
( ( ( ~ ( sK2_SY2 @ SV6 ) )
= $false )
| ( ( sK2_SY2 @ SV6 )
= $false )
| ( ( ( sK2_SY2 @ SV2 )
= ( cU @ SV2 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[72]) ).
thf(83,plain,
! [SV2: a,SV6: a] :
( ( ( ~ ( cW @ SV6 ) )
= $false )
| ( ( sK2_SY2 @ SV6 )
= $false )
| ( ( ( sK2_SY2 @ SV2 )
= ( cU @ SV2 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[72]) ).
thf(84,plain,
! [SV2: a,SV6: a] :
( ( ( ~ ( sK2_SY2 @ SV6 ) )
= $false )
| ( ( cW @ SV6 )
= $false )
| ( ( ( sK2_SY2 @ SV2 )
= ( cU @ SV2 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[73]) ).
thf(85,plain,
! [SV2: a,SV6: a] :
( ( ( ~ ( cW @ SV6 ) )
= $false )
| ( ( cW @ SV6 )
= $false )
| ( ( ( sK2_SY2 @ SV2 )
= ( cU @ SV2 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[73]) ).
thf(86,plain,
! [SV2: a,SV11: a] :
( ( ( ~ ( ( sK2_SY2 @ SV11 )
| ( cW @ SV11 ) )
| ~ ( ~ ( sK2_SY2 @ SV11 )
| ~ ( cW @ SV11 ) ) )
= $true )
| ( ( sK2_SY2 @ SV2 )
= $false )
| ( ( sK2_SY2 @ SV2 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[78]) ).
thf(87,plain,
! [SV2: a,SV11: a] :
( ( ( ( sK2_SY2 @ SV11 )
= ( cW @ SV11 ) )
= $true )
| ( ( sK2_SY2 @ SV2 )
= $false )
| ( ( sK2_SY2 @ SV2 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[78]) ).
thf(88,plain,
! [SV2: a,SV12: a] :
( ( ( ~ ( ( sK2_SY2 @ SV12 )
| ( cW @ SV12 ) )
| ~ ( ~ ( sK2_SY2 @ SV12 )
| ~ ( cW @ SV12 ) ) )
= $true )
| ( ( sK2_SY2 @ SV2 )
= $false )
| ( ( cU @ SV2 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[79]) ).
thf(89,plain,
! [SV2: a,SV12: a] :
( ( ( ( sK2_SY2 @ SV12 )
= ( cW @ SV12 ) )
= $true )
| ( ( sK2_SY2 @ SV2 )
= $false )
| ( ( cU @ SV2 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[79]) ).
thf(90,plain,
! [SV2: a,SV13: a] :
( ( ( ~ ( ( sK2_SY2 @ SV13 )
| ( cW @ SV13 ) )
| ~ ( ~ ( sK2_SY2 @ SV13 )
| ~ ( cW @ SV13 ) ) )
= $true )
| ( ( cU @ SV2 )
= $false )
| ( ( sK2_SY2 @ SV2 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[80]) ).
thf(91,plain,
! [SV2: a,SV13: a] :
( ( ( ( sK2_SY2 @ SV13 )
= ( cW @ SV13 ) )
= $true )
| ( ( cU @ SV2 )
= $false )
| ( ( sK2_SY2 @ SV2 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[80]) ).
thf(92,plain,
! [SV2: a,SV14: a] :
( ( ( ~ ( ( sK2_SY2 @ SV14 )
| ( cW @ SV14 ) )
| ~ ( ~ ( sK2_SY2 @ SV14 )
| ~ ( cW @ SV14 ) ) )
= $true )
| ( ( cU @ SV2 )
= $false )
| ( ( cU @ SV2 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[81]) ).
thf(93,plain,
! [SV2: a,SV14: a] :
( ( ( ( sK2_SY2 @ SV14 )
= ( cW @ SV14 ) )
= $true )
| ( ( cU @ SV2 )
= $false )
| ( ( cU @ SV2 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[81]) ).
thf(94,plain,
! [SV2: a,SV6: a] :
( ( ( sK2_SY2 @ SV6 )
= $true )
| ( ( sK2_SY2 @ SV6 )
= $false )
| ( ( ( sK2_SY2 @ SV2 )
= ( cU @ SV2 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[82]) ).
thf(95,plain,
! [SV2: a,SV6: a] :
( ( ( cW @ SV6 )
= $true )
| ( ( sK2_SY2 @ SV6 )
= $false )
| ( ( ( sK2_SY2 @ SV2 )
= ( cU @ SV2 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[83]) ).
thf(96,plain,
! [SV2: a,SV6: a] :
( ( ( sK2_SY2 @ SV6 )
= $true )
| ( ( cW @ SV6 )
= $false )
| ( ( ( sK2_SY2 @ SV2 )
= ( cU @ SV2 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[84]) ).
thf(97,plain,
! [SV2: a,SV6: a] :
( ( ( cW @ SV6 )
= $true )
| ( ( cW @ SV6 )
= $false )
| ( ( ( sK2_SY2 @ SV2 )
= ( cU @ SV2 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[85]) ).
thf(98,plain,
! [SV2: a,SV11: a] :
( ( ( ~ ( ( sK2_SY2 @ SV11 )
| ( cW @ SV11 ) ) )
= $true )
| ( ( ~ ( ~ ( sK2_SY2 @ SV11 )
| ~ ( cW @ SV11 ) ) )
= $true )
| ( ( sK2_SY2 @ SV2 )
= $false )
| ( ( sK2_SY2 @ SV2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[86]) ).
thf(99,plain,
! [SV2: a,SV12: a] :
( ( ( ~ ( ( sK2_SY2 @ SV12 )
| ( cW @ SV12 ) ) )
= $true )
| ( ( ~ ( ~ ( sK2_SY2 @ SV12 )
| ~ ( cW @ SV12 ) ) )
= $true )
| ( ( sK2_SY2 @ SV2 )
= $false )
| ( ( cU @ SV2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[88]) ).
thf(100,plain,
! [SV2: a,SV13: a] :
( ( ( ~ ( ( sK2_SY2 @ SV13 )
| ( cW @ SV13 ) ) )
= $true )
| ( ( ~ ( ~ ( sK2_SY2 @ SV13 )
| ~ ( cW @ SV13 ) ) )
= $true )
| ( ( cU @ SV2 )
= $false )
| ( ( sK2_SY2 @ SV2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[90]) ).
thf(101,plain,
! [SV2: a,SV14: a] :
( ( ( ~ ( ( sK2_SY2 @ SV14 )
| ( cW @ SV14 ) ) )
= $true )
| ( ( ~ ( ~ ( sK2_SY2 @ SV14 )
| ~ ( cW @ SV14 ) ) )
= $true )
| ( ( cU @ SV2 )
= $false )
| ( ( cU @ SV2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[92]) ).
thf(102,plain,
! [SV2: a,SV11: a] :
( ( ( ( sK2_SY2 @ SV11 )
| ( cW @ SV11 ) )
= $false )
| ( ( ~ ( ~ ( sK2_SY2 @ SV11 )
| ~ ( cW @ SV11 ) ) )
= $true )
| ( ( sK2_SY2 @ SV2 )
= $false )
| ( ( sK2_SY2 @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[98]) ).
thf(103,plain,
! [SV2: a,SV12: a] :
( ( ( ( sK2_SY2 @ SV12 )
| ( cW @ SV12 ) )
= $false )
| ( ( ~ ( ~ ( sK2_SY2 @ SV12 )
| ~ ( cW @ SV12 ) ) )
= $true )
| ( ( sK2_SY2 @ SV2 )
= $false )
| ( ( cU @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[99]) ).
thf(104,plain,
! [SV2: a,SV13: a] :
( ( ( ( sK2_SY2 @ SV13 )
| ( cW @ SV13 ) )
= $false )
| ( ( ~ ( ~ ( sK2_SY2 @ SV13 )
| ~ ( cW @ SV13 ) ) )
= $true )
| ( ( cU @ SV2 )
= $false )
| ( ( sK2_SY2 @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[100]) ).
thf(105,plain,
! [SV2: a,SV14: a] :
( ( ( ( sK2_SY2 @ SV14 )
| ( cW @ SV14 ) )
= $false )
| ( ( ~ ( ~ ( sK2_SY2 @ SV14 )
| ~ ( cW @ SV14 ) ) )
= $true )
| ( ( cU @ SV2 )
= $false )
| ( ( cU @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[101]) ).
thf(106,plain,
! [SV2: a,SV11: a] :
( ( ( sK2_SY2 @ SV11 )
= $false )
| ( ( ~ ( ~ ( sK2_SY2 @ SV11 )
| ~ ( cW @ SV11 ) ) )
= $true )
| ( ( sK2_SY2 @ SV2 )
= $false )
| ( ( sK2_SY2 @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[102]) ).
thf(107,plain,
! [SV2: a,SV11: a] :
( ( ( cW @ SV11 )
= $false )
| ( ( ~ ( ~ ( sK2_SY2 @ SV11 )
| ~ ( cW @ SV11 ) ) )
= $true )
| ( ( sK2_SY2 @ SV2 )
= $false )
| ( ( sK2_SY2 @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[102]) ).
thf(108,plain,
! [SV2: a,SV12: a] :
( ( ( sK2_SY2 @ SV12 )
= $false )
| ( ( ~ ( ~ ( sK2_SY2 @ SV12 )
| ~ ( cW @ SV12 ) ) )
= $true )
| ( ( sK2_SY2 @ SV2 )
= $false )
| ( ( cU @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[103]) ).
thf(109,plain,
! [SV2: a,SV12: a] :
( ( ( cW @ SV12 )
= $false )
| ( ( ~ ( ~ ( sK2_SY2 @ SV12 )
| ~ ( cW @ SV12 ) ) )
= $true )
| ( ( sK2_SY2 @ SV2 )
= $false )
| ( ( cU @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[103]) ).
thf(110,plain,
! [SV2: a,SV13: a] :
( ( ( sK2_SY2 @ SV13 )
= $false )
| ( ( ~ ( ~ ( sK2_SY2 @ SV13 )
| ~ ( cW @ SV13 ) ) )
= $true )
| ( ( cU @ SV2 )
= $false )
| ( ( sK2_SY2 @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[104]) ).
thf(111,plain,
! [SV2: a,SV13: a] :
( ( ( cW @ SV13 )
= $false )
| ( ( ~ ( ~ ( sK2_SY2 @ SV13 )
| ~ ( cW @ SV13 ) ) )
= $true )
| ( ( cU @ SV2 )
= $false )
| ( ( sK2_SY2 @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[104]) ).
thf(112,plain,
! [SV2: a,SV14: a] :
( ( ( sK2_SY2 @ SV14 )
= $false )
| ( ( ~ ( ~ ( sK2_SY2 @ SV14 )
| ~ ( cW @ SV14 ) ) )
= $true )
| ( ( cU @ SV2 )
= $false )
| ( ( cU @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[105]) ).
thf(113,plain,
! [SV2: a,SV14: a] :
( ( ( cW @ SV14 )
= $false )
| ( ( ~ ( ~ ( sK2_SY2 @ SV14 )
| ~ ( cW @ SV14 ) ) )
= $true )
| ( ( cU @ SV2 )
= $false )
| ( ( cU @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[105]) ).
thf(114,plain,
! [SV2: a,SV11: a] :
( ( ( ~ ( sK2_SY2 @ SV11 )
| ~ ( cW @ SV11 ) )
= $false )
| ( ( sK2_SY2 @ SV11 )
= $false )
| ( ( sK2_SY2 @ SV2 )
= $false )
| ( ( sK2_SY2 @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[106]) ).
thf(115,plain,
! [SV2: a,SV11: a] :
( ( ( ~ ( sK2_SY2 @ SV11 )
| ~ ( cW @ SV11 ) )
= $false )
| ( ( cW @ SV11 )
= $false )
| ( ( sK2_SY2 @ SV2 )
= $false )
| ( ( sK2_SY2 @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[107]) ).
thf(116,plain,
! [SV2: a,SV12: a] :
( ( ( ~ ( sK2_SY2 @ SV12 )
| ~ ( cW @ SV12 ) )
= $false )
| ( ( sK2_SY2 @ SV12 )
= $false )
| ( ( sK2_SY2 @ SV2 )
= $false )
| ( ( cU @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[108]) ).
thf(117,plain,
! [SV2: a,SV12: a] :
( ( ( ~ ( sK2_SY2 @ SV12 )
| ~ ( cW @ SV12 ) )
= $false )
| ( ( cW @ SV12 )
= $false )
| ( ( sK2_SY2 @ SV2 )
= $false )
| ( ( cU @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[109]) ).
thf(118,plain,
! [SV2: a,SV13: a] :
( ( ( ~ ( sK2_SY2 @ SV13 )
| ~ ( cW @ SV13 ) )
= $false )
| ( ( sK2_SY2 @ SV13 )
= $false )
| ( ( cU @ SV2 )
= $false )
| ( ( sK2_SY2 @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[110]) ).
thf(119,plain,
! [SV2: a,SV13: a] :
( ( ( ~ ( sK2_SY2 @ SV13 )
| ~ ( cW @ SV13 ) )
= $false )
| ( ( cW @ SV13 )
= $false )
| ( ( cU @ SV2 )
= $false )
| ( ( sK2_SY2 @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[111]) ).
thf(120,plain,
! [SV2: a,SV14: a] :
( ( ( ~ ( sK2_SY2 @ SV14 )
| ~ ( cW @ SV14 ) )
= $false )
| ( ( sK2_SY2 @ SV14 )
= $false )
| ( ( cU @ SV2 )
= $false )
| ( ( cU @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[112]) ).
thf(121,plain,
! [SV2: a,SV14: a] :
( ( ( ~ ( sK2_SY2 @ SV14 )
| ~ ( cW @ SV14 ) )
= $false )
| ( ( cW @ SV14 )
= $false )
| ( ( cU @ SV2 )
= $false )
| ( ( cU @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[113]) ).
thf(122,plain,
! [SV2: a,SV11: a] :
( ( ( ~ ( sK2_SY2 @ SV11 ) )
= $false )
| ( ( sK2_SY2 @ SV11 )
= $false )
| ( ( sK2_SY2 @ SV2 )
= $false )
| ( ( sK2_SY2 @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[114]) ).
thf(123,plain,
! [SV2: a,SV11: a] :
( ( ( ~ ( cW @ SV11 ) )
= $false )
| ( ( sK2_SY2 @ SV11 )
= $false )
| ( ( sK2_SY2 @ SV2 )
= $false )
| ( ( sK2_SY2 @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[114]) ).
thf(124,plain,
! [SV2: a,SV11: a] :
( ( ( ~ ( sK2_SY2 @ SV11 ) )
= $false )
| ( ( cW @ SV11 )
= $false )
| ( ( sK2_SY2 @ SV2 )
= $false )
| ( ( sK2_SY2 @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[115]) ).
thf(125,plain,
! [SV2: a,SV11: a] :
( ( ( ~ ( cW @ SV11 ) )
= $false )
| ( ( cW @ SV11 )
= $false )
| ( ( sK2_SY2 @ SV2 )
= $false )
| ( ( sK2_SY2 @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[115]) ).
thf(126,plain,
! [SV2: a,SV12: a] :
( ( ( ~ ( sK2_SY2 @ SV12 ) )
= $false )
| ( ( sK2_SY2 @ SV12 )
= $false )
| ( ( sK2_SY2 @ SV2 )
= $false )
| ( ( cU @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[116]) ).
thf(127,plain,
! [SV2: a,SV12: a] :
( ( ( ~ ( cW @ SV12 ) )
= $false )
| ( ( sK2_SY2 @ SV12 )
= $false )
| ( ( sK2_SY2 @ SV2 )
= $false )
| ( ( cU @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[116]) ).
thf(128,plain,
! [SV2: a,SV12: a] :
( ( ( ~ ( sK2_SY2 @ SV12 ) )
= $false )
| ( ( cW @ SV12 )
= $false )
| ( ( sK2_SY2 @ SV2 )
= $false )
| ( ( cU @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[117]) ).
thf(129,plain,
! [SV2: a,SV12: a] :
( ( ( ~ ( cW @ SV12 ) )
= $false )
| ( ( cW @ SV12 )
= $false )
| ( ( sK2_SY2 @ SV2 )
= $false )
| ( ( cU @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[117]) ).
thf(130,plain,
! [SV2: a,SV13: a] :
( ( ( ~ ( sK2_SY2 @ SV13 ) )
= $false )
| ( ( sK2_SY2 @ SV13 )
= $false )
| ( ( cU @ SV2 )
= $false )
| ( ( sK2_SY2 @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[118]) ).
thf(131,plain,
! [SV2: a,SV13: a] :
( ( ( ~ ( cW @ SV13 ) )
= $false )
| ( ( sK2_SY2 @ SV13 )
= $false )
| ( ( cU @ SV2 )
= $false )
| ( ( sK2_SY2 @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[118]) ).
thf(132,plain,
! [SV2: a,SV13: a] :
( ( ( ~ ( sK2_SY2 @ SV13 ) )
= $false )
| ( ( cW @ SV13 )
= $false )
| ( ( cU @ SV2 )
= $false )
| ( ( sK2_SY2 @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[119]) ).
thf(133,plain,
! [SV2: a,SV13: a] :
( ( ( ~ ( cW @ SV13 ) )
= $false )
| ( ( cW @ SV13 )
= $false )
| ( ( cU @ SV2 )
= $false )
| ( ( sK2_SY2 @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[119]) ).
thf(134,plain,
! [SV2: a,SV14: a] :
( ( ( ~ ( sK2_SY2 @ SV14 ) )
= $false )
| ( ( sK2_SY2 @ SV14 )
= $false )
| ( ( cU @ SV2 )
= $false )
| ( ( cU @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[120]) ).
thf(135,plain,
! [SV2: a,SV14: a] :
( ( ( ~ ( cW @ SV14 ) )
= $false )
| ( ( sK2_SY2 @ SV14 )
= $false )
| ( ( cU @ SV2 )
= $false )
| ( ( cU @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[120]) ).
thf(136,plain,
! [SV2: a,SV14: a] :
( ( ( ~ ( sK2_SY2 @ SV14 ) )
= $false )
| ( ( cW @ SV14 )
= $false )
| ( ( cU @ SV2 )
= $false )
| ( ( cU @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[121]) ).
thf(137,plain,
! [SV2: a,SV14: a] :
( ( ( ~ ( cW @ SV14 ) )
= $false )
| ( ( cW @ SV14 )
= $false )
| ( ( cU @ SV2 )
= $false )
| ( ( cU @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[121]) ).
thf(138,plain,
! [SV2: a,SV11: a] :
( ( ( sK2_SY2 @ SV11 )
= $true )
| ( ( sK2_SY2 @ SV11 )
= $false )
| ( ( sK2_SY2 @ SV2 )
= $false )
| ( ( sK2_SY2 @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[122]) ).
thf(139,plain,
! [SV2: a,SV11: a] :
( ( ( cW @ SV11 )
= $true )
| ( ( sK2_SY2 @ SV11 )
= $false )
| ( ( sK2_SY2 @ SV2 )
= $false )
| ( ( sK2_SY2 @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[123]) ).
thf(140,plain,
! [SV2: a,SV11: a] :
( ( ( sK2_SY2 @ SV11 )
= $true )
| ( ( cW @ SV11 )
= $false )
| ( ( sK2_SY2 @ SV2 )
= $false )
| ( ( sK2_SY2 @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[124]) ).
thf(141,plain,
! [SV2: a,SV11: a] :
( ( ( cW @ SV11 )
= $true )
| ( ( cW @ SV11 )
= $false )
| ( ( sK2_SY2 @ SV2 )
= $false )
| ( ( sK2_SY2 @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[125]) ).
thf(142,plain,
! [SV2: a,SV12: a] :
( ( ( sK2_SY2 @ SV12 )
= $true )
| ( ( sK2_SY2 @ SV12 )
= $false )
| ( ( sK2_SY2 @ SV2 )
= $false )
| ( ( cU @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[126]) ).
thf(143,plain,
! [SV2: a,SV12: a] :
( ( ( cW @ SV12 )
= $true )
| ( ( sK2_SY2 @ SV12 )
= $false )
| ( ( sK2_SY2 @ SV2 )
= $false )
| ( ( cU @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[127]) ).
thf(144,plain,
! [SV2: a,SV12: a] :
( ( ( sK2_SY2 @ SV12 )
= $true )
| ( ( cW @ SV12 )
= $false )
| ( ( sK2_SY2 @ SV2 )
= $false )
| ( ( cU @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[128]) ).
thf(145,plain,
! [SV2: a,SV12: a] :
( ( ( cW @ SV12 )
= $true )
| ( ( cW @ SV12 )
= $false )
| ( ( sK2_SY2 @ SV2 )
= $false )
| ( ( cU @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[129]) ).
thf(146,plain,
! [SV2: a,SV13: a] :
( ( ( sK2_SY2 @ SV13 )
= $true )
| ( ( sK2_SY2 @ SV13 )
= $false )
| ( ( cU @ SV2 )
= $false )
| ( ( sK2_SY2 @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[130]) ).
thf(147,plain,
! [SV2: a,SV13: a] :
( ( ( cW @ SV13 )
= $true )
| ( ( sK2_SY2 @ SV13 )
= $false )
| ( ( cU @ SV2 )
= $false )
| ( ( sK2_SY2 @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[131]) ).
thf(148,plain,
! [SV2: a,SV13: a] :
( ( ( sK2_SY2 @ SV13 )
= $true )
| ( ( cW @ SV13 )
= $false )
| ( ( cU @ SV2 )
= $false )
| ( ( sK2_SY2 @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[132]) ).
thf(149,plain,
! [SV2: a,SV13: a] :
( ( ( cW @ SV13 )
= $true )
| ( ( cW @ SV13 )
= $false )
| ( ( cU @ SV2 )
= $false )
| ( ( sK2_SY2 @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[133]) ).
thf(150,plain,
! [SV2: a,SV14: a] :
( ( ( sK2_SY2 @ SV14 )
= $true )
| ( ( sK2_SY2 @ SV14 )
= $false )
| ( ( cU @ SV2 )
= $false )
| ( ( cU @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[134]) ).
thf(151,plain,
! [SV2: a,SV14: a] :
( ( ( cW @ SV14 )
= $true )
| ( ( sK2_SY2 @ SV14 )
= $false )
| ( ( cU @ SV2 )
= $false )
| ( ( cU @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[135]) ).
thf(152,plain,
! [SV2: a,SV14: a] :
( ( ( sK2_SY2 @ SV14 )
= $true )
| ( ( cW @ SV14 )
= $false )
| ( ( cU @ SV2 )
= $false )
| ( ( cU @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[136]) ).
thf(153,plain,
! [SV2: a,SV14: a] :
( ( ( cW @ SV14 )
= $true )
| ( ( cW @ SV14 )
= $false )
| ( ( cU @ SV2 )
= $false )
| ( ( cU @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[137]) ).
thf(154,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[10,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,97,96,95,94,93,91,89,87,77,76,75,74,71,69,67,65,40,33,31,25,20,11]) ).
thf(155,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[154]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SEV241^5 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.34 % Computer : n008.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Tue Jun 28 11:36:53 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.35
% 0.12/0.35 No.of.Axioms: 0
% 0.12/0.35
% 0.12/0.35 Length.of.Defs: 0
% 0.12/0.35
% 0.12/0.35 Contains.Choice.Funs: false
% 0.12/0.35 (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).
% 0.12/0.40
% 0.12/0.40 ********************************
% 0.12/0.40 * All subproblems solved! *
% 0.12/0.40 ********************************
% 0.12/0.40 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:2,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:154,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.20/0.41
% 0.20/0.41 %**** Beginning of derivation protocol ****
% 0.20/0.41 % SZS output start CNFRefutation
% See solution above
% 0.20/0.42
% 0.20/0.42 %**** End of derivation protocol ****
% 0.20/0.42 %**** no. of clauses in derivation: 155 ****
% 0.20/0.42 %**** clause counter: 154 ****
% 0.20/0.42
% 0.20/0.42 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:2,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:154,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------