TSTP Solution File: SYN415+1 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SYN415+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 21 08:26:04 EDT 2022
% Result : Theorem 0.14s 0.35s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 8
% Syntax : Number of formulae : 83 ( 44 unt; 7 typ; 0 def)
% Number of atoms : 491 ( 177 equ; 0 cnn)
% Maximal formula atoms : 7 ( 6 avg)
% Number of connectives : 646 ( 253 ~; 139 |; 37 &; 194 @)
% ( 3 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 2 ( 2 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 7 usr; 7 con; 0-2 aty)
% Number of variables : 105 ( 0 ^ 91 !; 14 ?; 105 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_f,type,
f: $i > $o ).
thf(tp_sK1_V,type,
sK1_V: $i > $i ).
thf(tp_sK2_X,type,
sK2_X: $i ).
thf(tp_sK3_Y,type,
sK3_Y: $i ).
thf(tp_sK4_SY5,type,
sK4_SY5: $i ).
thf(tp_sK5_U,type,
sK5_U: $i ).
thf(tp_sK6_REN,type,
sK6_REN: $o ).
thf(1,conjecture,
( ( ? [X: $i] : ( f @ X )
& ! [Y: $i,Z: $i] :
( ( ( f @ Y )
& ( f @ Z ) )
=> ( Y = Z ) ) )
<=> ? [U: $i] :
( ( f @ U )
& ! [V: $i] :
( ( f @ V )
=> ( U = V ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kalish317) ).
thf(2,negated_conjecture,
( ( ( ? [X: $i] : ( f @ X )
& ! [Y: $i,Z: $i] :
( ( ( f @ Y )
& ( f @ Z ) )
=> ( Y = Z ) ) )
<=> ? [U: $i] :
( ( f @ U )
& ! [V: $i] :
( ( f @ V )
=> ( U = V ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ( ? [X: $i] : ( f @ X )
& ! [Y: $i,Z: $i] :
( ( ( f @ Y )
& ( f @ Z ) )
=> ( Y = Z ) ) )
<=> ? [U: $i] :
( ( f @ U )
& ! [V: $i] :
( ( f @ V )
=> ( U = V ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ( ? [X: $i] : ( f @ X )
& ! [Y: $i,Z: $i] :
( ( ( f @ Y )
& ( f @ Z ) )
=> ( Y = Z ) ) )
=> ? [U: $i] :
( ( f @ U )
& ! [V: $i] :
( ( f @ V )
=> ( U = V ) ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[3]) ).
thf(5,plain,
( ( ? [U: $i] :
( ( f @ U )
& ! [V: $i] :
( ( f @ V )
=> ( U = V ) ) )
=> ( ? [X: $i] : ( f @ X )
& ! [Y: $i,Z: $i] :
( ( ( f @ Y )
& ( f @ Z ) )
=> ( Y = Z ) ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[3]) ).
thf(6,plain,
( ( ~ ( ( ? [X: $i] : ( f @ X )
& ! [Y: $i,Z: $i] :
( ( ( f @ Y )
& ( f @ Z ) )
=> ( Y = Z ) ) )
=> ? [U: $i] :
( ( f @ U )
& ! [V: $i] :
( ( f @ V )
=> ( U = V ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[4]) ).
thf(7,plain,
( ( ~ ( ? [U: $i] :
( ( f @ U )
& ! [V: $i] :
( ( f @ V )
=> ( U = V ) ) )
=> ( ? [X: $i] : ( f @ X )
& ! [Y: $i,Z: $i] :
( ( ( f @ Y )
& ( f @ Z ) )
=> ( Y = Z ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[5]) ).
thf(8,plain,
( ( ! [Y: $i,Z: $i] :
( ~ ( f @ Y )
| ~ ( f @ Z )
| ( Y = Z ) )
& ( f @ sK2_X )
& ! [U: $i] :
( ( ( f @ ( sK1_V @ U ) )
& ( U
!= ( sK1_V @ U ) ) )
| ~ ( f @ U ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[6]) ).
thf(9,plain,
( ( ! [SY6: $i] :
( ~ ( f @ SY6 )
| ( sK5_U = SY6 ) )
& ( f @ sK5_U )
& ( sK6_REN
| ! [X: $i] :
~ ( f @ X ) )
& ( sK6_REN
=> ( ( f @ sK3_Y )
& ( f @ sK4_SY5 )
& ( sK3_Y != sK4_SY5 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[7]) ).
thf(10,plain,
( ( ! [Y: $i,Z: $i] :
( ~ ( f @ Y )
| ~ ( f @ Z )
| ( Y = Z ) )
& ( f @ sK2_X )
& ! [U: $i] :
( ( ( f @ ( sK1_V @ U ) )
& ( U
!= ( sK1_V @ U ) ) )
| ~ ( f @ U ) ) )
= $true ),
inference(copy,[status(thm)],[8]) ).
thf(11,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( f @ SX0 )
| ~ ( f @ SX1 )
| ( SX0 = SX1 ) )
| ~ ( f @ sK2_X ) )
| ~ ! [SX0: $i] :
( ~ ( ~ ( f @ ( sK1_V @ SX0 ) )
| ~ ( ( SX0
!= ( sK1_V @ SX0 ) ) ) )
| ~ ( f @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(12,plain,
( ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( f @ SX0 )
| ~ ( f @ SX1 )
| ( SX0 = SX1 ) )
| ~ ( f @ sK2_X ) )
| ~ ! [SX0: $i] :
( ~ ( ~ ( f @ ( sK1_V @ SX0 ) )
| ~ ( ( SX0
!= ( sK1_V @ SX0 ) ) ) )
| ~ ( f @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[11]) ).
thf(13,plain,
( ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( f @ SX0 )
| ~ ( f @ SX1 )
| ( SX0 = SX1 ) )
| ~ ( f @ sK2_X ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[12]) ).
thf(14,plain,
( ( ~ ! [SX0: $i] :
( ~ ( ~ ( f @ ( sK1_V @ SX0 ) )
| ~ ( ( SX0
!= ( sK1_V @ SX0 ) ) ) )
| ~ ( f @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[12]) ).
thf(15,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( f @ SX0 )
| ~ ( f @ SX1 )
| ( SX0 = SX1 ) )
| ~ ( f @ sK2_X ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[13]) ).
thf(16,plain,
( ( ! [SX0: $i] :
( ~ ( ~ ( f @ ( sK1_V @ SX0 ) )
| ~ ( ( SX0
!= ( sK1_V @ SX0 ) ) ) )
| ~ ( f @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[14]) ).
thf(17,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( f @ SX0 )
| ~ ( f @ SX1 )
| ( SX0 = SX1 ) )
| ~ ( f @ sK2_X ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[15]) ).
thf(18,plain,
! [SV1: $i] :
( ( ~ ( ~ ( f @ ( sK1_V @ SV1 ) )
| ~ ( ( SV1
!= ( sK1_V @ SV1 ) ) ) )
| ~ ( f @ SV1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[16]) ).
thf(19,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( f @ SX0 )
| ~ ( f @ SX1 )
| ( SX0 = SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[17]) ).
thf(20,plain,
( ( ~ ( f @ sK2_X ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[17]) ).
thf(21,plain,
! [SV1: $i] :
( ( ( ~ ( ~ ( f @ ( sK1_V @ SV1 ) )
| ~ ( ( SV1
!= ( sK1_V @ SV1 ) ) ) ) )
= $true )
| ( ( ~ ( f @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[18]) ).
thf(22,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( f @ SX0 )
| ~ ( f @ SX1 )
| ( SX0 = SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[19]) ).
thf(23,plain,
( ( f @ sK2_X )
= $true ),
inference(extcnf_not_neg,[status(thm)],[20]) ).
thf(24,plain,
! [SV1: $i] :
( ( ( ~ ( f @ ( sK1_V @ SV1 ) )
| ~ ( ( SV1
!= ( sK1_V @ SV1 ) ) ) )
= $false )
| ( ( ~ ( f @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[21]) ).
thf(25,plain,
! [SV2: $i] :
( ( ! [SY7: $i] :
( ~ ( f @ SV2 )
| ~ ( f @ SY7 )
| ( SV2 = SY7 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[22]) ).
thf(26,plain,
! [SV1: $i] :
( ( ( ~ ( f @ ( sK1_V @ SV1 ) ) )
= $false )
| ( ( ~ ( f @ SV1 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[24]) ).
thf(27,plain,
! [SV1: $i] :
( ( ( ~ ( ( SV1
!= ( sK1_V @ SV1 ) ) ) )
= $false )
| ( ( ~ ( f @ SV1 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[24]) ).
thf(28,plain,
! [SV3: $i,SV2: $i] :
( ( ~ ( f @ SV2 )
| ~ ( f @ SV3 )
| ( SV2 = SV3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[25]) ).
thf(29,plain,
! [SV1: $i] :
( ( ( f @ ( sK1_V @ SV1 ) )
= $true )
| ( ( ~ ( f @ SV1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[26]) ).
thf(30,plain,
! [SV1: $i] :
( ( ( ( SV1
!= ( sK1_V @ SV1 ) ) )
= $true )
| ( ( ~ ( f @ SV1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[27]) ).
thf(31,plain,
! [SV3: $i,SV2: $i] :
( ( ( ~ ( f @ SV2 )
| ~ ( f @ SV3 ) )
= $true )
| ( ( SV2 = SV3 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[28]) ).
thf(32,plain,
! [SV1: $i] :
( ( ( f @ SV1 )
= $false )
| ( ( f @ ( sK1_V @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[29]) ).
thf(33,plain,
! [SV1: $i] :
( ( ( SV1
= ( sK1_V @ SV1 ) )
= $false )
| ( ( ~ ( f @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[30]) ).
thf(34,plain,
! [SV3: $i,SV2: $i] :
( ( ( ~ ( f @ SV2 ) )
= $true )
| ( ( ~ ( f @ SV3 ) )
= $true )
| ( ( SV2 = SV3 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[31]) ).
thf(35,plain,
! [SV1: $i] :
( ( ( f @ SV1 )
= $false )
| ( ( SV1
= ( sK1_V @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[33]) ).
thf(36,plain,
! [SV3: $i,SV2: $i] :
( ( ( f @ SV2 )
= $false )
| ( ( ~ ( f @ SV3 ) )
= $true )
| ( ( SV2 = SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[34]) ).
thf(37,plain,
! [SV2: $i,SV3: $i] :
( ( ( f @ SV3 )
= $false )
| ( ( f @ SV2 )
= $false )
| ( ( SV2 = SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[36]) ).
thf(38,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[23,37,35,32]) ).
thf(39,plain,
( ( ! [SY6: $i] :
( ~ ( f @ SY6 )
| ( sK5_U = SY6 ) )
& ( f @ sK5_U )
& ( sK6_REN
| ! [X: $i] :
~ ( f @ X ) )
& ( sK6_REN
=> ( ( f @ sK3_Y )
& ( f @ sK4_SY5 )
& ( sK3_Y != sK4_SY5 ) ) ) )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(40,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( f @ SX0 )
| ( sK5_U = SX0 ) )
| ~ ( f @ sK5_U ) )
| ~ ~ ( ~ ( sK6_REN
| ! [SX0: $i] :
~ ( f @ SX0 ) )
| ~ ( ~ sK6_REN
| ~ ( ~ ~ ( ~ ( f @ sK3_Y )
| ~ ( f @ sK4_SY5 ) )
| ~ ( ( sK3_Y != sK4_SY5 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[39]) ).
thf(41,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( f @ SX0 )
| ( sK5_U = SX0 ) )
| ~ ( f @ sK5_U ) )
| ~ ~ ( ~ ( sK6_REN
| ! [SX0: $i] :
~ ( f @ SX0 ) )
| ~ ( ~ sK6_REN
| ~ ( ~ ~ ( ~ ( f @ sK3_Y )
| ~ ( f @ sK4_SY5 ) )
| ~ ( ( sK3_Y != sK4_SY5 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[40]) ).
thf(42,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( f @ SX0 )
| ( sK5_U = SX0 ) )
| ~ ( f @ sK5_U ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[41]) ).
thf(43,plain,
( ( ~ ~ ( ~ ( sK6_REN
| ! [SX0: $i] :
~ ( f @ SX0 ) )
| ~ ( ~ sK6_REN
| ~ ( ~ ~ ( ~ ( f @ sK3_Y )
| ~ ( f @ sK4_SY5 ) )
| ~ ( ( sK3_Y != sK4_SY5 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[41]) ).
thf(44,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( f @ SX0 )
| ( sK5_U = SX0 ) )
| ~ ( f @ sK5_U ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[42]) ).
thf(45,plain,
( ( ~ ( ~ ( sK6_REN
| ! [SX0: $i] :
~ ( f @ SX0 ) )
| ~ ( ~ sK6_REN
| ~ ( ~ ~ ( ~ ( f @ sK3_Y )
| ~ ( f @ sK4_SY5 ) )
| ~ ( ( sK3_Y != sK4_SY5 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[43]) ).
thf(46,plain,
( ( ~ ! [SX0: $i] :
( ~ ( f @ SX0 )
| ( sK5_U = SX0 ) )
| ~ ( f @ sK5_U ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[44]) ).
thf(47,plain,
( ( ~ ( sK6_REN
| ! [SX0: $i] :
~ ( f @ SX0 ) )
| ~ ( ~ sK6_REN
| ~ ( ~ ~ ( ~ ( f @ sK3_Y )
| ~ ( f @ sK4_SY5 ) )
| ~ ( ( sK3_Y != sK4_SY5 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[45]) ).
thf(48,plain,
( ( ~ ! [SX0: $i] :
( ~ ( f @ SX0 )
| ( sK5_U = SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[46]) ).
thf(49,plain,
( ( ~ ( f @ sK5_U ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[46]) ).
thf(50,plain,
( ( ~ ( sK6_REN
| ! [SX0: $i] :
~ ( f @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[47]) ).
thf(51,plain,
( ( ~ ( ~ sK6_REN
| ~ ( ~ ~ ( ~ ( f @ sK3_Y )
| ~ ( f @ sK4_SY5 ) )
| ~ ( ( sK3_Y != sK4_SY5 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[47]) ).
thf(52,plain,
( ( ! [SX0: $i] :
( ~ ( f @ SX0 )
| ( sK5_U = SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[48]) ).
thf(53,plain,
( ( f @ sK5_U )
= $true ),
inference(extcnf_not_neg,[status(thm)],[49]) ).
thf(54,plain,
( ( sK6_REN
| ! [SX0: $i] :
~ ( f @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[50]) ).
thf(55,plain,
( ( ~ sK6_REN
| ~ ( ~ ~ ( ~ ( f @ sK3_Y )
| ~ ( f @ sK4_SY5 ) )
| ~ ( ( sK3_Y != sK4_SY5 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[51]) ).
thf(56,plain,
! [SV4: $i] :
( ( ~ ( f @ SV4 )
| ( sK5_U = SV4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[52]) ).
thf(57,plain,
( ( sK6_REN = $true )
| ( ( ! [SX0: $i] :
~ ( f @ SX0 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[54]) ).
thf(58,plain,
( ( ( ~ sK6_REN )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( f @ sK3_Y )
| ~ ( f @ sK4_SY5 ) )
| ~ ( ( sK3_Y != sK4_SY5 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[55]) ).
thf(59,plain,
! [SV4: $i] :
( ( ( ~ ( f @ SV4 ) )
= $true )
| ( ( sK5_U = SV4 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[56]) ).
thf(60,plain,
! [SV5: $i] :
( ( ( ~ ( f @ SV5 ) )
= $true )
| ( sK6_REN = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[57]) ).
thf(61,plain,
( ( sK6_REN = $false )
| ( ( ~ ( ~ ~ ( ~ ( f @ sK3_Y )
| ~ ( f @ sK4_SY5 ) )
| ~ ( ( sK3_Y != sK4_SY5 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[58]) ).
thf(62,plain,
! [SV4: $i] :
( ( ( f @ SV4 )
= $false )
| ( ( sK5_U = SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[59]) ).
thf(63,plain,
! [SV5: $i] :
( ( ( f @ SV5 )
= $false )
| ( sK6_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[60]) ).
thf(64,plain,
( ( ( ~ ~ ( ~ ( f @ sK3_Y )
| ~ ( f @ sK4_SY5 ) )
| ~ ( ( sK3_Y != sK4_SY5 ) ) )
= $false )
| ( sK6_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[61]) ).
thf(65,plain,
( ( ( ~ ~ ( ~ ( f @ sK3_Y )
| ~ ( f @ sK4_SY5 ) ) )
= $false )
| ( sK6_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[64]) ).
thf(66,plain,
( ( ( ~ ( ( sK3_Y != sK4_SY5 ) ) )
= $false )
| ( sK6_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[64]) ).
thf(67,plain,
( ( ( ~ ( ~ ( f @ sK3_Y )
| ~ ( f @ sK4_SY5 ) ) )
= $true )
| ( sK6_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[65]) ).
thf(68,plain,
( ( ( ( sK3_Y != sK4_SY5 ) )
= $true )
| ( sK6_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[66]) ).
thf(69,plain,
( ( ( ~ ( f @ sK3_Y )
| ~ ( f @ sK4_SY5 ) )
= $false )
| ( sK6_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[67]) ).
thf(70,plain,
( ( ( sK3_Y = sK4_SY5 )
= $false )
| ( sK6_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[68]) ).
thf(71,plain,
( ( ( ~ ( f @ sK3_Y ) )
= $false )
| ( sK6_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[69]) ).
thf(72,plain,
( ( ( ~ ( f @ sK4_SY5 ) )
= $false )
| ( sK6_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[69]) ).
thf(73,plain,
( ( ( f @ sK3_Y )
= $true )
| ( sK6_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[71]) ).
thf(74,plain,
( ( ( f @ sK4_SY5 )
= $true )
| ( sK6_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[72]) ).
thf(75,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[53,74,73,70,63,62]) ).
thf(76,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[75,38]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09 % Problem : SYN415+1 : TPTP v8.1.0. Released v2.0.0.
% 0.05/0.09 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.08/0.29 % Computer : n012.cluster.edu
% 0.08/0.29 % Model : x86_64 x86_64
% 0.08/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.29 % Memory : 8042.1875MB
% 0.08/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.29 % CPULimit : 300
% 0.08/0.29 % WCLimit : 600
% 0.08/0.29 % DateTime : Tue Jul 12 04:18:42 EDT 2022
% 0.08/0.29 % CPUTime :
% 0.08/0.29
% 0.08/0.29 No.of.Axioms: 0
% 0.08/0.29
% 0.08/0.29 Length.of.Defs: 0
% 0.08/0.29
% 0.08/0.29 Contains.Choice.Funs: false
% 0.08/0.30 (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:600,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:2,loop_count:0,foatp_calls:0,translation:fof_full)...
% 0.14/0.35
% 0.14/0.35 ********************************
% 0.14/0.35 * All subproblems solved! *
% 0.14/0.35 ********************************
% 0.14/0.35 % 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:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:75,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.14/0.35
% 0.14/0.35 %**** Beginning of derivation protocol ****
% 0.14/0.35 % SZS output start CNFRefutation
% See solution above
% 0.14/0.35
% 0.14/0.35 %**** End of derivation protocol ****
% 0.14/0.35 %**** no. of clauses in derivation: 76 ****
% 0.14/0.35 %**** clause counter: 75 ****
% 0.14/0.35
% 0.14/0.35 % 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:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:75,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------