TSTP Solution File: SYN918+1 by LEO-II---1.7.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SYN918+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n021.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 08:30:33 EDT 2022
% Result : Theorem 0.19s 0.40s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 10
% Syntax : Number of formulae : 101 ( 45 unt; 9 typ; 0 def)
% Number of atoms : 677 ( 149 equ; 0 cnn)
% Maximal formula atoms : 15 ( 7 avg)
% Number of connectives : 901 ( 334 ~; 214 |; 41 &; 280 @)
% ( 0 <=>; 32 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 3 ( 3 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 9 usr; 8 con; 0-2 aty)
% Number of variables : 97 ( 0 ^ 88 !; 9 ?; 97 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_f,type,
f: $i > $o ).
thf(tp_g,type,
g: $i > $o ).
thf(tp_h,type,
h: $i > $o ).
thf(tp_sK1_Y,type,
sK1_Y: $i ).
thf(tp_sK2_Y,type,
sK2_Y: $i ).
thf(tp_sK3_Y,type,
sK3_Y: $i ).
thf(tp_sK4_REN,type,
sK4_REN: $o ).
thf(tp_sK5_REN,type,
sK5_REN: $o ).
thf(tp_sK6_REN,type,
sK6_REN: $o ).
thf(1,conjecture,
( ( ! [X: $i] :
( ( ( ( f @ X )
& ( g @ X ) )
=> ( h @ X ) )
=> ? [Y: $i] :
( ( f @ Y )
& ~ ( g @ Y ) ) )
& ( ! [W: $i] :
( ( f @ W )
=> ( g @ W ) )
| ! [Z: $i] :
( ( f @ Z )
=> ( h @ Z ) ) ) )
=> ( ! [R: $i] :
( ( ( f @ R )
& ( h @ R ) )
=> ( g @ R ) )
=> ? [V: $i] :
( ( f @ V )
& ( g @ V )
& ~ ( h @ V ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
thf(2,negated_conjecture,
( ( ( ! [X: $i] :
( ( ( ( f @ X )
& ( g @ X ) )
=> ( h @ X ) )
=> ? [Y: $i] :
( ( f @ Y )
& ~ ( g @ Y ) ) )
& ( ! [W: $i] :
( ( f @ W )
=> ( g @ W ) )
| ! [Z: $i] :
( ( f @ Z )
=> ( h @ Z ) ) ) )
=> ( ! [R: $i] :
( ( ( f @ R )
& ( h @ R ) )
=> ( g @ R ) )
=> ? [V: $i] :
( ( f @ V )
& ( g @ V )
& ~ ( h @ V ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ( ! [X: $i] :
( ( ( ( f @ X )
& ( g @ X ) )
=> ( h @ X ) )
=> ? [Y: $i] :
( ( f @ Y )
& ~ ( g @ Y ) ) )
& ( ! [W: $i] :
( ( f @ W )
=> ( g @ W ) )
| ! [Z: $i] :
( ( f @ Z )
=> ( h @ Z ) ) ) )
=> ( ! [R: $i] :
( ( ( f @ R )
& ( h @ R ) )
=> ( g @ R ) )
=> ? [V: $i] :
( ( f @ V )
& ( g @ V )
& ~ ( h @ V ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ! [X: $i] :
( ( ( ( f @ X )
& ( g @ X ) )
=> ( h @ X ) )
=> ? [Y: $i] :
( ( f @ Y )
& ~ ( g @ Y ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(5,plain,
( ( ! [W: $i] :
( ( f @ W )
=> ( g @ W ) )
| ! [Z: $i] :
( ( f @ Z )
=> ( h @ Z ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(6,plain,
( ( ! [R: $i] :
( ( ( f @ R )
& ( h @ R ) )
=> ( g @ R ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(7,plain,
( ( ? [V: $i] :
( ( f @ V )
& ( g @ V )
& ~ ( h @ V ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(8,plain,
( ( ~ ? [V: $i] :
( ( f @ V )
& ( g @ V )
& ~ ( h @ V ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[7]) ).
thf(9,plain,
( ( ! [V: $i] :
( ~ ( f @ V )
| ~ ( g @ V )
| ( h @ V ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[8]) ).
thf(10,plain,
( ( ( ! [X: $i] : ( f @ X )
| sK6_REN )
& ( sK6_REN
=> ( ( f @ sK3_Y )
& ~ ( g @ sK3_Y ) ) )
& ( ! [X: $i] : ( g @ X )
| sK5_REN )
& ( sK5_REN
=> ( ( f @ sK2_Y )
& ~ ( g @ sK2_Y ) ) )
& ( ! [X: $i] :
~ ( h @ X )
| sK4_REN )
& ( sK4_REN
=> ( ( f @ sK1_Y )
& ~ ( g @ sK1_Y ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[4]) ).
thf(11,plain,
( ( ! [W: $i] :
( ~ ( f @ W )
| ( g @ W ) )
| ! [Z: $i] :
( ~ ( f @ Z )
| ( h @ Z ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[5]) ).
thf(12,plain,
( ( ! [R: $i] :
( ~ ( f @ R )
| ~ ( h @ R )
| ( g @ R ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[6]) ).
thf(13,plain,
( ( ! [R: $i] :
( ~ ( f @ R )
| ~ ( h @ R )
| ( g @ R ) ) )
= $true ),
inference(copy,[status(thm)],[12]) ).
thf(14,plain,
( ( ! [W: $i] :
( ~ ( f @ W )
| ( g @ W ) )
| ! [Z: $i] :
( ~ ( f @ Z )
| ( h @ Z ) ) )
= $true ),
inference(copy,[status(thm)],[11]) ).
thf(15,plain,
( ( ( ! [X: $i] : ( f @ X )
| sK6_REN )
& ( sK6_REN
=> ( ( f @ sK3_Y )
& ~ ( g @ sK3_Y ) ) )
& ( ! [X: $i] : ( g @ X )
| sK5_REN )
& ( sK5_REN
=> ( ( f @ sK2_Y )
& ~ ( g @ sK2_Y ) ) )
& ( ! [X: $i] :
~ ( h @ X )
| sK4_REN )
& ( sK4_REN
=> ( ( f @ sK1_Y )
& ~ ( g @ sK1_Y ) ) ) )
= $true ),
inference(copy,[status(thm)],[10]) ).
thf(16,plain,
( ( ! [V: $i] :
( ~ ( f @ V )
| ~ ( g @ V )
| ( h @ V ) ) )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(17,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( ! [SX0: $i] : ( f @ SX0 )
| sK6_REN )
| ~ ( ~ sK6_REN
| ~ ( ~ ( f @ sK3_Y )
| ~ ~ ( g @ sK3_Y ) ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] : ( g @ SX0 )
| sK5_REN )
| ~ ( ~ sK5_REN
| ~ ( ~ ( f @ sK2_Y )
| ~ ~ ( g @ sK2_Y ) ) ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
~ ( h @ SX0 )
| sK4_REN )
| ~ ( ~ sK4_REN
| ~ ( ~ ( f @ sK1_Y )
| ~ ~ ( g @ sK1_Y ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(18,plain,
! [SV1: $i] :
( ( ~ ( f @ SV1 )
| ~ ( h @ SV1 )
| ( g @ SV1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[13]) ).
thf(19,plain,
( ( ( ! [W: $i] :
( ~ ( f @ W )
| ( g @ W ) ) )
= $true )
| ( ( ! [Z: $i] :
( ~ ( f @ Z )
| ( h @ Z ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[14]) ).
thf(20,plain,
! [SV2: $i] :
( ( ~ ( f @ SV2 )
| ~ ( g @ SV2 )
| ( h @ SV2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[16]) ).
thf(21,plain,
( ( ~ ~ ( ~ ~ ( ~ ( ! [SX0: $i] : ( f @ SX0 )
| sK6_REN )
| ~ ( ~ sK6_REN
| ~ ( ~ ( f @ sK3_Y )
| ~ ~ ( g @ sK3_Y ) ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] : ( g @ SX0 )
| sK5_REN )
| ~ ( ~ sK5_REN
| ~ ( ~ ( f @ sK2_Y )
| ~ ~ ( g @ sK2_Y ) ) ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
~ ( h @ SX0 )
| sK4_REN )
| ~ ( ~ sK4_REN
| ~ ( ~ ( f @ sK1_Y )
| ~ ~ ( g @ sK1_Y ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[17]) ).
thf(22,plain,
! [SV1: $i] :
( ( ( ~ ( f @ SV1 )
| ~ ( h @ SV1 ) )
= $true )
| ( ( g @ SV1 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[18]) ).
thf(23,plain,
! [SV3: $i] :
( ( ( ~ ( f @ SV3 )
| ( g @ SV3 ) )
= $true )
| ( ( ! [Z: $i] :
( ~ ( f @ Z )
| ( h @ Z ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[19]) ).
thf(24,plain,
! [SV2: $i] :
( ( ( ~ ( f @ SV2 )
| ~ ( g @ SV2 ) )
= $true )
| ( ( h @ SV2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[20]) ).
thf(25,plain,
( ( ~ ~ ( ~ ~ ( ~ ( ! [SX0: $i] : ( f @ SX0 )
| sK6_REN )
| ~ ( ~ sK6_REN
| ~ ( ~ ( f @ sK3_Y )
| ~ ~ ( g @ sK3_Y ) ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] : ( g @ SX0 )
| sK5_REN )
| ~ ( ~ sK5_REN
| ~ ( ~ ( f @ sK2_Y )
| ~ ~ ( g @ sK2_Y ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[21]) ).
thf(26,plain,
( ( ~ ~ ( ~ ( ! [SX0: $i] :
~ ( h @ SX0 )
| sK4_REN )
| ~ ( ~ sK4_REN
| ~ ( ~ ( f @ sK1_Y )
| ~ ~ ( g @ sK1_Y ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[21]) ).
thf(27,plain,
! [SV1: $i] :
( ( ( ~ ( f @ SV1 ) )
= $true )
| ( ( ~ ( h @ SV1 ) )
= $true )
| ( ( g @ SV1 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[22]) ).
thf(28,plain,
! [SV3: $i] :
( ( ( ~ ( f @ SV3 ) )
= $true )
| ( ( g @ SV3 )
= $true )
| ( ( ! [Z: $i] :
( ~ ( f @ Z )
| ( h @ Z ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[23]) ).
thf(29,plain,
! [SV2: $i] :
( ( ( ~ ( f @ SV2 ) )
= $true )
| ( ( ~ ( g @ SV2 ) )
= $true )
| ( ( h @ SV2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[24]) ).
thf(30,plain,
( ( ~ ( ~ ~ ( ~ ( ! [SX0: $i] : ( f @ SX0 )
| sK6_REN )
| ~ ( ~ sK6_REN
| ~ ( ~ ( f @ sK3_Y )
| ~ ~ ( g @ sK3_Y ) ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] : ( g @ SX0 )
| sK5_REN )
| ~ ( ~ sK5_REN
| ~ ( ~ ( f @ sK2_Y )
| ~ ~ ( g @ sK2_Y ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[25]) ).
thf(31,plain,
( ( ~ ( ~ ( ! [SX0: $i] :
~ ( h @ SX0 )
| sK4_REN )
| ~ ( ~ sK4_REN
| ~ ( ~ ( f @ sK1_Y )
| ~ ~ ( g @ sK1_Y ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[26]) ).
thf(32,plain,
! [SV1: $i] :
( ( ( f @ SV1 )
= $false )
| ( ( ~ ( h @ SV1 ) )
= $true )
| ( ( g @ SV1 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[27]) ).
thf(33,plain,
! [SV3: $i] :
( ( ( f @ SV3 )
= $false )
| ( ( g @ SV3 )
= $true )
| ( ( ! [Z: $i] :
( ~ ( f @ Z )
| ( h @ Z ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[28]) ).
thf(34,plain,
! [SV2: $i] :
( ( ( f @ SV2 )
= $false )
| ( ( ~ ( g @ SV2 ) )
= $true )
| ( ( h @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[29]) ).
thf(35,plain,
( ( ~ ~ ( ~ ( ! [SX0: $i] : ( f @ SX0 )
| sK6_REN )
| ~ ( ~ sK6_REN
| ~ ( ~ ( f @ sK3_Y )
| ~ ~ ( g @ sK3_Y ) ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] : ( g @ SX0 )
| sK5_REN )
| ~ ( ~ sK5_REN
| ~ ( ~ ( f @ sK2_Y )
| ~ ~ ( g @ sK2_Y ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[30]) ).
thf(36,plain,
( ( ~ ( ! [SX0: $i] :
~ ( h @ SX0 )
| sK4_REN )
| ~ ( ~ sK4_REN
| ~ ( ~ ( f @ sK1_Y )
| ~ ~ ( g @ sK1_Y ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[31]) ).
thf(37,plain,
! [SV1: $i] :
( ( ( h @ SV1 )
= $false )
| ( ( f @ SV1 )
= $false )
| ( ( g @ SV1 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[32]) ).
thf(38,plain,
! [SV3: $i,SV4: $i] :
( ( ( ~ ( f @ SV4 )
| ( h @ SV4 ) )
= $true )
| ( ( g @ SV3 )
= $true )
| ( ( f @ SV3 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[33]) ).
thf(39,plain,
! [SV2: $i] :
( ( ( g @ SV2 )
= $false )
| ( ( f @ SV2 )
= $false )
| ( ( h @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[34]) ).
thf(40,plain,
( ( ~ ~ ( ~ ( ! [SX0: $i] : ( f @ SX0 )
| sK6_REN )
| ~ ( ~ sK6_REN
| ~ ( ~ ( f @ sK3_Y )
| ~ ~ ( g @ sK3_Y ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[35]) ).
thf(41,plain,
( ( ~ ~ ( ~ ( ! [SX0: $i] : ( g @ SX0 )
| sK5_REN )
| ~ ( ~ sK5_REN
| ~ ( ~ ( f @ sK2_Y )
| ~ ~ ( g @ sK2_Y ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[35]) ).
thf(42,plain,
( ( ~ ( ! [SX0: $i] :
~ ( h @ SX0 )
| sK4_REN ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[36]) ).
thf(43,plain,
( ( ~ ( ~ sK4_REN
| ~ ( ~ ( f @ sK1_Y )
| ~ ~ ( g @ sK1_Y ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[36]) ).
thf(44,plain,
! [SV3: $i,SV4: $i] :
( ( ( ~ ( f @ SV4 ) )
= $true )
| ( ( h @ SV4 )
= $true )
| ( ( g @ SV3 )
= $true )
| ( ( f @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[38]) ).
thf(45,plain,
( ( ~ ( ~ ( ! [SX0: $i] : ( f @ SX0 )
| sK6_REN )
| ~ ( ~ sK6_REN
| ~ ( ~ ( f @ sK3_Y )
| ~ ~ ( g @ sK3_Y ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[40]) ).
thf(46,plain,
( ( ~ ( ~ ( ! [SX0: $i] : ( g @ SX0 )
| sK5_REN )
| ~ ( ~ sK5_REN
| ~ ( ~ ( f @ sK2_Y )
| ~ ~ ( g @ sK2_Y ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[41]) ).
thf(47,plain,
( ( ! [SX0: $i] :
~ ( h @ SX0 )
| sK4_REN )
= $true ),
inference(extcnf_not_neg,[status(thm)],[42]) ).
thf(48,plain,
( ( ~ sK4_REN
| ~ ( ~ ( f @ sK1_Y )
| ~ ~ ( g @ sK1_Y ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[43]) ).
thf(49,plain,
! [SV3: $i,SV4: $i] :
( ( ( f @ SV4 )
= $false )
| ( ( h @ SV4 )
= $true )
| ( ( g @ SV3 )
= $true )
| ( ( f @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[44]) ).
thf(50,plain,
( ( ~ ( ! [SX0: $i] : ( f @ SX0 )
| sK6_REN )
| ~ ( ~ sK6_REN
| ~ ( ~ ( f @ sK3_Y )
| ~ ~ ( g @ sK3_Y ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[45]) ).
thf(51,plain,
( ( ~ ( ! [SX0: $i] : ( g @ SX0 )
| sK5_REN )
| ~ ( ~ sK5_REN
| ~ ( ~ ( f @ sK2_Y )
| ~ ~ ( g @ sK2_Y ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[46]) ).
thf(52,plain,
( ( ( ! [SX0: $i] :
~ ( h @ SX0 ) )
= $true )
| ( sK4_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[47]) ).
thf(53,plain,
( ( ( ~ sK4_REN )
= $true )
| ( ( ~ ( ~ ( f @ sK1_Y )
| ~ ~ ( g @ sK1_Y ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[48]) ).
thf(54,plain,
( ( ~ ( ! [SX0: $i] : ( f @ SX0 )
| sK6_REN ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[50]) ).
thf(55,plain,
( ( ~ ( ~ sK6_REN
| ~ ( ~ ( f @ sK3_Y )
| ~ ~ ( g @ sK3_Y ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[50]) ).
thf(56,plain,
( ( ~ ( ! [SX0: $i] : ( g @ SX0 )
| sK5_REN ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[51]) ).
thf(57,plain,
( ( ~ ( ~ sK5_REN
| ~ ( ~ ( f @ sK2_Y )
| ~ ~ ( g @ sK2_Y ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[51]) ).
thf(58,plain,
! [SV5: $i] :
( ( ( ~ ( h @ SV5 ) )
= $true )
| ( sK4_REN = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[52]) ).
thf(59,plain,
( ( sK4_REN = $false )
| ( ( ~ ( ~ ( f @ sK1_Y )
| ~ ~ ( g @ sK1_Y ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[53]) ).
thf(60,plain,
( ( ! [SX0: $i] : ( f @ SX0 )
| sK6_REN )
= $true ),
inference(extcnf_not_neg,[status(thm)],[54]) ).
thf(61,plain,
( ( ~ sK6_REN
| ~ ( ~ ( f @ sK3_Y )
| ~ ~ ( g @ sK3_Y ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[55]) ).
thf(62,plain,
( ( ! [SX0: $i] : ( g @ SX0 )
| sK5_REN )
= $true ),
inference(extcnf_not_neg,[status(thm)],[56]) ).
thf(63,plain,
( ( ~ sK5_REN
| ~ ( ~ ( f @ sK2_Y )
| ~ ~ ( g @ sK2_Y ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[57]) ).
thf(64,plain,
! [SV5: $i] :
( ( ( h @ SV5 )
= $false )
| ( sK4_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[58]) ).
thf(65,plain,
( ( ( ~ ( f @ sK1_Y )
| ~ ~ ( g @ sK1_Y ) )
= $false )
| ( sK4_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[59]) ).
thf(66,plain,
( ( ( ! [SX0: $i] : ( f @ SX0 ) )
= $true )
| ( sK6_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[60]) ).
thf(67,plain,
( ( ( ~ sK6_REN )
= $true )
| ( ( ~ ( ~ ( f @ sK3_Y )
| ~ ~ ( g @ sK3_Y ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[61]) ).
thf(68,plain,
( ( ( ! [SX0: $i] : ( g @ SX0 ) )
= $true )
| ( sK5_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[62]) ).
thf(69,plain,
( ( ( ~ sK5_REN )
= $true )
| ( ( ~ ( ~ ( f @ sK2_Y )
| ~ ~ ( g @ sK2_Y ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[63]) ).
thf(70,plain,
( ( ( ~ ( f @ sK1_Y ) )
= $false )
| ( sK4_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[65]) ).
thf(71,plain,
( ( ( ~ ~ ( g @ sK1_Y ) )
= $false )
| ( sK4_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[65]) ).
thf(72,plain,
! [SV6: $i] :
( ( ( f @ SV6 )
= $true )
| ( sK6_REN = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[66]) ).
thf(73,plain,
( ( sK6_REN = $false )
| ( ( ~ ( ~ ( f @ sK3_Y )
| ~ ~ ( g @ sK3_Y ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[67]) ).
thf(74,plain,
! [SV7: $i] :
( ( ( g @ SV7 )
= $true )
| ( sK5_REN = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[68]) ).
thf(75,plain,
( ( sK5_REN = $false )
| ( ( ~ ( ~ ( f @ sK2_Y )
| ~ ~ ( g @ sK2_Y ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[69]) ).
thf(76,plain,
( ( ( f @ sK1_Y )
= $true )
| ( sK4_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[70]) ).
thf(77,plain,
( ( ( ~ ( g @ sK1_Y ) )
= $true )
| ( sK4_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[71]) ).
thf(78,plain,
( ( ( ~ ( f @ sK3_Y )
| ~ ~ ( g @ sK3_Y ) )
= $false )
| ( sK6_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[73]) ).
thf(79,plain,
( ( ( ~ ( f @ sK2_Y )
| ~ ~ ( g @ sK2_Y ) )
= $false )
| ( sK5_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[75]) ).
thf(80,plain,
( ( ( g @ sK1_Y )
= $false )
| ( sK4_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[77]) ).
thf(81,plain,
( ( ( ~ ( f @ sK3_Y ) )
= $false )
| ( sK6_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[78]) ).
thf(82,plain,
( ( ( ~ ~ ( g @ sK3_Y ) )
= $false )
| ( sK6_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[78]) ).
thf(83,plain,
( ( ( ~ ( f @ sK2_Y ) )
= $false )
| ( sK5_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[79]) ).
thf(84,plain,
( ( ( ~ ~ ( g @ sK2_Y ) )
= $false )
| ( sK5_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[79]) ).
thf(85,plain,
( ( ( f @ sK3_Y )
= $true )
| ( sK6_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[81]) ).
thf(86,plain,
( ( ( ~ ( g @ sK3_Y ) )
= $true )
| ( sK6_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[82]) ).
thf(87,plain,
( ( ( f @ sK2_Y )
= $true )
| ( sK5_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[83]) ).
thf(88,plain,
( ( ( ~ ( g @ sK2_Y ) )
= $true )
| ( sK5_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[84]) ).
thf(89,plain,
( ( ( g @ sK3_Y )
= $false )
| ( sK6_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[86]) ).
thf(90,plain,
( ( ( g @ sK2_Y )
= $false )
| ( sK5_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[88]) ).
thf(91,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[37,90,89,87,85,80,76,74,72,64,49,39]) ).
thf(92,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[91]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN918+1 : TPTP v8.1.0. Released v3.1.0.
% 0.12/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.14/0.34 % Computer : n021.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.19/0.35 % CPULimit : 300
% 0.19/0.35 % WCLimit : 600
% 0.19/0.35 % DateTime : Mon Jul 11 19:13:38 EDT 2022
% 0.19/0.35 % CPUTime :
% 0.19/0.35
% 0.19/0.35 No.of.Axioms: 0
% 0.19/0.35
% 0.19/0.35 Length.of.Defs: 0
% 0.19/0.35
% 0.19/0.35 Contains.Choice.Funs: false
% 0.19/0.35 (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: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)...
% 0.19/0.40
% 0.19/0.40 ********************************
% 0.19/0.40 * All subproblems solved! *
% 0.19/0.40 ********************************
% 0.19/0.40 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:3,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:91,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.19/0.40
% 0.19/0.40 %**** Beginning of derivation protocol ****
% 0.19/0.40 % SZS output start CNFRefutation
% See solution above
% 0.19/0.40
% 0.19/0.40 %**** End of derivation protocol ****
% 0.19/0.40 %**** no. of clauses in derivation: 92 ****
% 0.19/0.40 %**** clause counter: 91 ****
% 0.19/0.40
% 0.19/0.40 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:3,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:91,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------