TSTP Solution File: SEU504^2 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SEU504^2 : TPTP v8.1.0. Released v3.7.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n022.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 12:12:24 EDT 2022
% Result : Theorem 0.18s 0.38s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 9
% Syntax : Number of formulae : 65 ( 29 unt; 6 typ; 2 def)
% Number of atoms : 334 ( 183 equ; 0 cnn)
% Maximal formula atoms : 4 ( 5 avg)
% Number of connectives : 604 ( 156 ~; 129 |; 17 &; 282 @)
% ( 0 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 48 ( 48 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 144 ( 4 ^ 126 !; 14 ?; 144 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_exu,type,
exu: ( $i > $o ) > $o ).
thf(tp_exuE1,type,
exuE1: $o ).
thf(tp_sK1_SY0,type,
sK1_SY0: $i > $o ).
thf(tp_sK2_SY24,type,
sK2_SY24: $i ).
thf(tp_sK3_Xx,type,
sK3_Xx: ( $i > $o ) > $i ).
thf(tp_sK4_SY8,type,
sK4_SY8: $i > ( $i > $o ) > $i ).
thf(exu,definition,
( exu
= ( ^ [Xphi: $i > $o] :
? [Xx: $i] :
( ( Xphi @ Xx )
& ! [Xy: $i] :
( ( Xphi @ Xy )
=> ( Xx = Xy ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exu) ).
thf(exuE1,definition,
( exuE1
= ( ! [Xphi: $i > $o] :
( ( exu
@ ^ [Xx: $i] : ( Xphi @ Xx ) )
=> ? [Xx: $i] :
( ( Xphi @ Xx )
& ! [Xy: $i] :
( ( Xphi @ Xy )
=> ( Xx = Xy ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exuE1) ).
thf(1,conjecture,
( exuE1
=> ! [Xphi: $i > $o] :
( ( exu
@ ^ [Xx: $i] : ( Xphi @ Xx ) )
=> ? [Xx: $i] : ( Xphi @ Xx ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exuE3e) ).
thf(2,negated_conjecture,
( ( exuE1
=> ! [Xphi: $i > $o] :
( ( exu
@ ^ [Xx: $i] : ( Xphi @ Xx ) )
=> ? [Xx: $i] : ( Xphi @ Xx ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ! [SY5: $i > $o] :
( ? [SY7: $i] :
( ( SY5 @ SY7 )
& ! [SY8: $i] :
( ( SY5 @ SY8 )
=> ( SY7 = SY8 ) ) )
=> ? [Xx: $i] :
( ( SY5 @ Xx )
& ! [Xy: $i] :
( ( SY5 @ Xy )
=> ( Xx = Xy ) ) ) )
=> ! [SY0: $i > $o] :
( ? [SY2: $i] :
( ( SY0 @ SY2 )
& ! [SY3: $i] :
( ( SY0 @ SY3 )
=> ( SY2 = SY3 ) ) )
=> ? [Xx: $i] : ( SY0 @ Xx ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2,exu,exuE1]) ).
thf(4,plain,
( ( ! [SY5: $i > $o] :
( ? [SY7: $i] :
( ( SY5 @ SY7 )
& ! [SY8: $i] :
( ( SY5 @ SY8 )
=> ( SY7 = SY8 ) ) )
=> ? [Xx: $i] :
( ( SY5 @ Xx )
& ! [Xy: $i] :
( ( SY5 @ Xy )
=> ( Xx = Xy ) ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(5,plain,
( ( ! [SY0: $i > $o] :
( ? [SY2: $i] :
( ( SY0 @ SY2 )
& ! [SY3: $i] :
( ( SY0 @ SY3 )
=> ( SY2 = SY3 ) ) )
=> ? [Xx: $i] : ( SY0 @ Xx ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(6,plain,
( ( ~ ! [SY0: $i > $o] :
( ? [SY2: $i] :
( ( SY0 @ SY2 )
& ! [SY3: $i] :
( ( SY0 @ SY3 )
=> ( SY2 = SY3 ) ) )
=> ? [Xx: $i] : ( SY0 @ Xx ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[5]) ).
thf(7,plain,
( ( ! [SY27: $i] :
( ~ ( sK1_SY0 @ SY27 )
| ( sK2_SY24 = SY27 ) )
& ( sK1_SY0 @ sK2_SY24 )
& ! [SY26: $i] :
~ ( sK1_SY0 @ SY26 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[6]) ).
thf(8,plain,
( ( ! [SY5: $i > $o] :
( ! [SY7: $i] :
( ( ( SY5 @ ( sK4_SY8 @ SY7 @ SY5 ) )
& ( SY7
!= ( sK4_SY8 @ SY7 @ SY5 ) ) )
| ~ ( SY5 @ SY7 ) )
| ( ! [SY28: $i] :
( ~ ( SY5 @ SY28 )
| ( ( sK3_Xx @ SY5 )
= SY28 ) )
& ( SY5 @ ( sK3_Xx @ SY5 ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[4]) ).
thf(9,plain,
( ( ! [SY5: $i > $o] :
( ! [SY7: $i] :
( ( ( SY5 @ ( sK4_SY8 @ SY7 @ SY5 ) )
& ( SY7
!= ( sK4_SY8 @ SY7 @ SY5 ) ) )
| ~ ( SY5 @ SY7 ) )
| ( ! [SY28: $i] :
( ~ ( SY5 @ SY28 )
| ( ( sK3_Xx @ SY5 )
= SY28 ) )
& ( SY5 @ ( sK3_Xx @ SY5 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[8]) ).
thf(10,plain,
( ( ! [SY27: $i] :
( ~ ( sK1_SY0 @ SY27 )
| ( sK2_SY24 = SY27 ) )
& ( sK1_SY0 @ sK2_SY24 )
& ! [SY26: $i] :
~ ( sK1_SY0 @ SY26 ) )
= $true ),
inference(copy,[status(thm)],[7]) ).
thf(11,plain,
( ( ! [SX0: $i > $o] :
( ! [SX1: $i] :
( ~ ( ~ ( SX0 @ ( sK4_SY8 @ SX1 @ SX0 ) )
| ~ ( ( SX1
!= ( sK4_SY8 @ SX1 @ SX0 ) ) ) )
| ~ ( SX0 @ SX1 ) )
| ~ ( ~ ! [SX1: $i] :
( ~ ( SX0 @ SX1 )
| ( ( sK3_Xx @ SX0 )
= SX1 ) )
| ~ ( SX0 @ ( sK3_Xx @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9,exu,exuE1]) ).
thf(12,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( sK1_SY0 @ SX0 )
| ( sK2_SY24 = SX0 ) )
| ~ ( sK1_SY0 @ sK2_SY24 ) )
| ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10,exu,exuE1]) ).
thf(13,plain,
! [SV1: $i > $o] :
( ( ! [SY29: $i] :
( ~ ( ~ ( SV1 @ ( sK4_SY8 @ SY29 @ SV1 ) )
| ~ ( ( SY29
!= ( sK4_SY8 @ SY29 @ SV1 ) ) ) )
| ~ ( SV1 @ SY29 ) )
| ~ ( ~ ! [SY30: $i] :
( ~ ( SV1 @ SY30 )
| ( ( sK3_Xx @ SV1 )
= SY30 ) )
| ~ ( SV1 @ ( sK3_Xx @ SV1 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[11]) ).
thf(14,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( sK1_SY0 @ SX0 )
| ( sK2_SY24 = SX0 ) )
| ~ ( sK1_SY0 @ sK2_SY24 ) )
| ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[12]) ).
thf(15,plain,
! [SV1: $i > $o] :
( ( ( ! [SY29: $i] :
( ~ ( ~ ( SV1 @ ( sK4_SY8 @ SY29 @ SV1 ) )
| ~ ( ( SY29
!= ( sK4_SY8 @ SY29 @ SV1 ) ) ) )
| ~ ( SV1 @ SY29 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY30: $i] :
( ~ ( SV1 @ SY30 )
| ( ( sK3_Xx @ SV1 )
= SY30 ) )
| ~ ( SV1 @ ( sK3_Xx @ SV1 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[13]) ).
thf(16,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( sK1_SY0 @ SX0 )
| ( sK2_SY24 = SX0 ) )
| ~ ( sK1_SY0 @ sK2_SY24 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[14]) ).
thf(17,plain,
( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[14]) ).
thf(18,plain,
! [SV2: $i,SV1: $i > $o] :
( ( ( ~ ( ~ ( SV1 @ ( sK4_SY8 @ SV2 @ SV1 ) )
| ~ ( ( SV2
!= ( sK4_SY8 @ SV2 @ SV1 ) ) ) )
| ~ ( SV1 @ SV2 ) )
= $true )
| ( ( ~ ( ~ ! [SY30: $i] :
( ~ ( SV1 @ SY30 )
| ( ( sK3_Xx @ SV1 )
= SY30 ) )
| ~ ( SV1 @ ( sK3_Xx @ SV1 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[15]) ).
thf(19,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( sK1_SY0 @ SX0 )
| ( sK2_SY24 = SX0 ) )
| ~ ( sK1_SY0 @ sK2_SY24 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[16]) ).
thf(20,plain,
( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[17]) ).
thf(21,plain,
! [SV2: $i,SV1: $i > $o] :
( ( ( ~ ( ~ ( SV1 @ ( sK4_SY8 @ SV2 @ SV1 ) )
| ~ ( ( SV2
!= ( sK4_SY8 @ SV2 @ SV1 ) ) ) ) )
= $true )
| ( ( ~ ( SV1 @ SV2 ) )
= $true )
| ( ( ~ ( ~ ! [SY30: $i] :
( ~ ( SV1 @ SY30 )
| ( ( sK3_Xx @ SV1 )
= SY30 ) )
| ~ ( SV1 @ ( sK3_Xx @ SV1 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[18]) ).
thf(22,plain,
( ( ~ ! [SX0: $i] :
( ~ ( sK1_SY0 @ SX0 )
| ( sK2_SY24 = SX0 ) )
| ~ ( sK1_SY0 @ sK2_SY24 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[19]) ).
thf(23,plain,
! [SV3: $i] :
( ( ~ ( sK1_SY0 @ SV3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[20]) ).
thf(24,plain,
! [SV2: $i,SV1: $i > $o] :
( ( ( ~ ( SV1 @ ( sK4_SY8 @ SV2 @ SV1 ) )
| ~ ( ( SV2
!= ( sK4_SY8 @ SV2 @ SV1 ) ) ) )
= $false )
| ( ( ~ ( SV1 @ SV2 ) )
= $true )
| ( ( ~ ( ~ ! [SY30: $i] :
( ~ ( SV1 @ SY30 )
| ( ( sK3_Xx @ SV1 )
= SY30 ) )
| ~ ( SV1 @ ( sK3_Xx @ SV1 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[21]) ).
thf(25,plain,
( ( ~ ! [SX0: $i] :
( ~ ( sK1_SY0 @ SX0 )
| ( sK2_SY24 = SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[22]) ).
thf(26,plain,
( ( ~ ( sK1_SY0 @ sK2_SY24 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[22]) ).
thf(27,plain,
! [SV3: $i] :
( ( sK1_SY0 @ SV3 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[23]) ).
thf(28,plain,
! [SV2: $i,SV1: $i > $o] :
( ( ( ~ ( SV1 @ ( sK4_SY8 @ SV2 @ SV1 ) ) )
= $false )
| ( ( ~ ( SV1 @ SV2 ) )
= $true )
| ( ( ~ ( ~ ! [SY30: $i] :
( ~ ( SV1 @ SY30 )
| ( ( sK3_Xx @ SV1 )
= SY30 ) )
| ~ ( SV1 @ ( sK3_Xx @ SV1 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[24]) ).
thf(29,plain,
! [SV1: $i > $o,SV2: $i] :
( ( ( ~ ( ( SV2
!= ( sK4_SY8 @ SV2 @ SV1 ) ) ) )
= $false )
| ( ( ~ ( SV1 @ SV2 ) )
= $true )
| ( ( ~ ( ~ ! [SY30: $i] :
( ~ ( SV1 @ SY30 )
| ( ( sK3_Xx @ SV1 )
= SY30 ) )
| ~ ( SV1 @ ( sK3_Xx @ SV1 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[24]) ).
thf(30,plain,
( ( ! [SX0: $i] :
( ~ ( sK1_SY0 @ SX0 )
| ( sK2_SY24 = SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[25]) ).
thf(31,plain,
( ( sK1_SY0 @ sK2_SY24 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[26]) ).
thf(32,plain,
! [SV2: $i,SV1: $i > $o] :
( ( ( SV1 @ ( sK4_SY8 @ SV2 @ SV1 ) )
= $true )
| ( ( ~ ( SV1 @ SV2 ) )
= $true )
| ( ( ~ ( ~ ! [SY30: $i] :
( ~ ( SV1 @ SY30 )
| ( ( sK3_Xx @ SV1 )
= SY30 ) )
| ~ ( SV1 @ ( sK3_Xx @ SV1 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[28]) ).
thf(33,plain,
! [SV1: $i > $o,SV2: $i] :
( ( ( ( SV2
!= ( sK4_SY8 @ SV2 @ SV1 ) ) )
= $true )
| ( ( ~ ( SV1 @ SV2 ) )
= $true )
| ( ( ~ ( ~ ! [SY30: $i] :
( ~ ( SV1 @ SY30 )
| ( ( sK3_Xx @ SV1 )
= SY30 ) )
| ~ ( SV1 @ ( sK3_Xx @ SV1 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[29]) ).
thf(34,plain,
! [SV4: $i] :
( ( ~ ( sK1_SY0 @ SV4 )
| ( sK2_SY24 = SV4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[30]) ).
thf(35,plain,
! [SV2: $i,SV1: $i > $o] :
( ( ( SV1 @ SV2 )
= $false )
| ( ( SV1 @ ( sK4_SY8 @ SV2 @ SV1 ) )
= $true )
| ( ( ~ ( ~ ! [SY30: $i] :
( ~ ( SV1 @ SY30 )
| ( ( sK3_Xx @ SV1 )
= SY30 ) )
| ~ ( SV1 @ ( sK3_Xx @ SV1 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[32]) ).
thf(36,plain,
! [SV1: $i > $o,SV2: $i] :
( ( ( SV2
= ( sK4_SY8 @ SV2 @ SV1 ) )
= $false )
| ( ( ~ ( SV1 @ SV2 ) )
= $true )
| ( ( ~ ( ~ ! [SY30: $i] :
( ~ ( SV1 @ SY30 )
| ( ( sK3_Xx @ SV1 )
= SY30 ) )
| ~ ( SV1 @ ( sK3_Xx @ SV1 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[33]) ).
thf(37,plain,
! [SV4: $i] :
( ( ( ~ ( sK1_SY0 @ SV4 ) )
= $true )
| ( ( sK2_SY24 = SV4 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[34]) ).
thf(38,plain,
! [SV2: $i,SV1: $i > $o] :
( ( ( ~ ! [SY30: $i] :
( ~ ( SV1 @ SY30 )
| ( ( sK3_Xx @ SV1 )
= SY30 ) )
| ~ ( SV1 @ ( sK3_Xx @ SV1 ) ) )
= $false )
| ( ( SV1 @ ( sK4_SY8 @ SV2 @ SV1 ) )
= $true )
| ( ( SV1 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[35]) ).
thf(39,plain,
! [SV2: $i,SV1: $i > $o] :
( ( ( SV1 @ SV2 )
= $false )
| ( ( SV2
= ( sK4_SY8 @ SV2 @ SV1 ) )
= $false )
| ( ( ~ ( ~ ! [SY30: $i] :
( ~ ( SV1 @ SY30 )
| ( ( sK3_Xx @ SV1 )
= SY30 ) )
| ~ ( SV1 @ ( sK3_Xx @ SV1 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[36]) ).
thf(40,plain,
! [SV4: $i] :
( ( ( sK1_SY0 @ SV4 )
= $false )
| ( ( sK2_SY24 = SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[37]) ).
thf(41,plain,
! [SV2: $i,SV1: $i > $o] :
( ( ( ~ ! [SY30: $i] :
( ~ ( SV1 @ SY30 )
| ( ( sK3_Xx @ SV1 )
= SY30 ) ) )
= $false )
| ( ( SV1 @ ( sK4_SY8 @ SV2 @ SV1 ) )
= $true )
| ( ( SV1 @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[38]) ).
thf(42,plain,
! [SV2: $i,SV1: $i > $o] :
( ( ( ~ ( SV1 @ ( sK3_Xx @ SV1 ) ) )
= $false )
| ( ( SV1 @ ( sK4_SY8 @ SV2 @ SV1 ) )
= $true )
| ( ( SV1 @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[38]) ).
thf(43,plain,
! [SV2: $i,SV1: $i > $o] :
( ( ( ~ ! [SY30: $i] :
( ~ ( SV1 @ SY30 )
| ( ( sK3_Xx @ SV1 )
= SY30 ) )
| ~ ( SV1 @ ( sK3_Xx @ SV1 ) ) )
= $false )
| ( ( SV2
= ( sK4_SY8 @ SV2 @ SV1 ) )
= $false )
| ( ( SV1 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[39]) ).
thf(44,plain,
! [SV2: $i,SV1: $i > $o] :
( ( ( ! [SY30: $i] :
( ~ ( SV1 @ SY30 )
| ( ( sK3_Xx @ SV1 )
= SY30 ) ) )
= $true )
| ( ( SV1 @ ( sK4_SY8 @ SV2 @ SV1 ) )
= $true )
| ( ( SV1 @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[41]) ).
thf(45,plain,
! [SV2: $i,SV1: $i > $o] :
( ( ( SV1 @ ( sK3_Xx @ SV1 ) )
= $true )
| ( ( SV1 @ ( sK4_SY8 @ SV2 @ SV1 ) )
= $true )
| ( ( SV1 @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[42]) ).
thf(46,plain,
! [SV2: $i,SV1: $i > $o] :
( ( ( ~ ! [SY30: $i] :
( ~ ( SV1 @ SY30 )
| ( ( sK3_Xx @ SV1 )
= SY30 ) ) )
= $false )
| ( ( SV2
= ( sK4_SY8 @ SV2 @ SV1 ) )
= $false )
| ( ( SV1 @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[43]) ).
thf(47,plain,
! [SV2: $i,SV1: $i > $o] :
( ( ( ~ ( SV1 @ ( sK3_Xx @ SV1 ) ) )
= $false )
| ( ( SV2
= ( sK4_SY8 @ SV2 @ SV1 ) )
= $false )
| ( ( SV1 @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[43]) ).
thf(48,plain,
! [SV2: $i,SV5: $i,SV1: $i > $o] :
( ( ( ~ ( SV1 @ SV5 )
| ( ( sK3_Xx @ SV1 )
= SV5 ) )
= $true )
| ( ( SV1 @ ( sK4_SY8 @ SV2 @ SV1 ) )
= $true )
| ( ( SV1 @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[44]) ).
thf(49,plain,
! [SV2: $i,SV1: $i > $o] :
( ( ( ! [SY30: $i] :
( ~ ( SV1 @ SY30 )
| ( ( sK3_Xx @ SV1 )
= SY30 ) ) )
= $true )
| ( ( SV2
= ( sK4_SY8 @ SV2 @ SV1 ) )
= $false )
| ( ( SV1 @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[46]) ).
thf(50,plain,
! [SV2: $i,SV1: $i > $o] :
( ( ( SV1 @ ( sK3_Xx @ SV1 ) )
= $true )
| ( ( SV2
= ( sK4_SY8 @ SV2 @ SV1 ) )
= $false )
| ( ( SV1 @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[47]) ).
thf(51,plain,
! [SV2: $i,SV5: $i,SV1: $i > $o] :
( ( ( ~ ( SV1 @ SV5 ) )
= $true )
| ( ( ( sK3_Xx @ SV1 )
= SV5 )
= $true )
| ( ( SV1 @ ( sK4_SY8 @ SV2 @ SV1 ) )
= $true )
| ( ( SV1 @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[48]) ).
thf(52,plain,
! [SV2: $i,SV6: $i,SV1: $i > $o] :
( ( ( ~ ( SV1 @ SV6 )
| ( ( sK3_Xx @ SV1 )
= SV6 ) )
= $true )
| ( ( SV2
= ( sK4_SY8 @ SV2 @ SV1 ) )
= $false )
| ( ( SV1 @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[49]) ).
thf(53,plain,
! [SV2: $i,SV5: $i,SV1: $i > $o] :
( ( ( SV1 @ SV5 )
= $false )
| ( ( ( sK3_Xx @ SV1 )
= SV5 )
= $true )
| ( ( SV1 @ ( sK4_SY8 @ SV2 @ SV1 ) )
= $true )
| ( ( SV1 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[51]) ).
thf(54,plain,
! [SV2: $i,SV6: $i,SV1: $i > $o] :
( ( ( ~ ( SV1 @ SV6 ) )
= $true )
| ( ( ( sK3_Xx @ SV1 )
= SV6 )
= $true )
| ( ( SV2
= ( sK4_SY8 @ SV2 @ SV1 ) )
= $false )
| ( ( SV1 @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[52]) ).
thf(55,plain,
! [SV2: $i,SV6: $i,SV1: $i > $o] :
( ( ( SV1 @ SV6 )
= $false )
| ( ( ( sK3_Xx @ SV1 )
= SV6 )
= $true )
| ( ( SV2
= ( sK4_SY8 @ SV2 @ SV1 ) )
= $false )
| ( ( SV1 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[54]) ).
thf(56,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[27,55,53,50,45,40,31]) ).
thf(57,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[56]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU504^2 : TPTP v8.1.0. Released v3.7.0.
% 0.12/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.33 % Computer : n022.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jun 20 08:29:31 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.18/0.34
% 0.18/0.34 No.of.Axioms: 0
% 0.18/0.34
% 0.18/0.34 Length.of.Defs: 387
% 0.18/0.34
% 0.18/0.34 Contains.Choice.Funs: false
% 0.18/0.34 (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)...
% 0.18/0.38
% 0.18/0.38 ********************************
% 0.18/0.38 * All subproblems solved! *
% 0.18/0.38 ********************************
% 0.18/0.38 % 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:10,ordering:none,proof_output:1,protocol_output:false,clause_count:56,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.18/0.38
% 0.18/0.38 %**** Beginning of derivation protocol ****
% 0.18/0.38 % SZS output start CNFRefutation
% See solution above
% 0.18/0.38
% 0.18/0.38 %**** End of derivation protocol ****
% 0.18/0.38 %**** no. of clauses in derivation: 57 ****
% 0.18/0.38 %**** clause counter: 56 ****
% 0.18/0.38
% 0.18/0.38 % 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:10,ordering:none,proof_output:1,protocol_output:false,clause_count:56,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------