TSTP Solution File: SYN059+1 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SYN059+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 : n011.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 08:23:08 EDT 2022
% Result : Theorem 0.19s 0.41s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 14
% Syntax : Number of formulae : 108 ( 65 unt; 11 typ; 0 def)
% Number of atoms : 606 ( 131 equ; 0 cnn)
% Maximal formula atoms : 8 ( 6 avg)
% Number of connectives : 850 ( 295 ~; 178 |; 39 &; 308 @)
% ( 3 <=>; 27 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 116 ( 0 ^ 112 !; 4 ?; 116 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_big_f,type,
big_f: $i > $o ).
thf(tp_big_g,type,
big_g: $i > $o ).
thf(tp_big_h,type,
big_h: $i > $o ).
thf(tp_big_j,type,
big_j: $i > $o ).
thf(tp_sK1_W,type,
sK1_W: $i ).
thf(tp_sK2_SY6,type,
sK2_SY6: $i ).
thf(tp_sK3_U,type,
sK3_U: $i ).
thf(tp_sK4_X,type,
sK4_X: $i ).
thf(tp_sK5_REN,type,
sK5_REN: $o ).
thf(tp_sK6_Y,type,
sK6_Y: $i ).
thf(tp_sK7_X,type,
sK7_X: $i ).
thf(1,axiom,
? [Y: $i] : ( big_g @ Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel29_2) ).
thf(2,axiom,
? [X: $i] : ( big_f @ X ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel29_1) ).
thf(3,conjecture,
( ( ! [X: $i] :
( ( big_f @ X )
=> ( big_h @ X ) )
& ! [U: $i] :
( ( big_g @ U )
=> ( big_j @ U ) ) )
<=> ! [W: $i,Y: $i] :
( ( ( big_f @ W )
& ( big_g @ Y ) )
=> ( ( big_h @ W )
& ( big_j @ Y ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel29) ).
thf(4,negated_conjecture,
( ( ( ! [X: $i] :
( ( big_f @ X )
=> ( big_h @ X ) )
& ! [U: $i] :
( ( big_g @ U )
=> ( big_j @ U ) ) )
<=> ! [W: $i,Y: $i] :
( ( ( big_f @ W )
& ( big_g @ Y ) )
=> ( ( big_h @ W )
& ( big_j @ Y ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[3]) ).
thf(5,plain,
( ( ( ! [X: $i] :
( ( big_f @ X )
=> ( big_h @ X ) )
& ! [U: $i] :
( ( big_g @ U )
=> ( big_j @ U ) ) )
<=> ! [W: $i,Y: $i] :
( ( ( big_f @ W )
& ( big_g @ Y ) )
=> ( ( big_h @ W )
& ( big_j @ Y ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[4]) ).
thf(6,plain,
( ( ? [Y: $i] : ( big_g @ Y ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(7,plain,
( ( ? [X: $i] : ( big_f @ X ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(8,plain,
( ( ( ! [X: $i] :
( ( big_f @ X )
=> ( big_h @ X ) )
& ! [U: $i] :
( ( big_g @ U )
=> ( big_j @ U ) ) )
=> ! [W: $i,Y: $i] :
( ( ( big_f @ W )
& ( big_g @ Y ) )
=> ( ( big_h @ W )
& ( big_j @ Y ) ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[5]) ).
thf(9,plain,
( ( ! [W: $i,Y: $i] :
( ( ( big_f @ W )
& ( big_g @ Y ) )
=> ( ( big_h @ W )
& ( big_j @ Y ) ) )
=> ( ! [X: $i] :
( ( big_f @ X )
=> ( big_h @ X ) )
& ! [U: $i] :
( ( big_g @ U )
=> ( big_j @ U ) ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[5]) ).
thf(10,plain,
( ( ~ ( ( ! [X: $i] :
( ( big_f @ X )
=> ( big_h @ X ) )
& ! [U: $i] :
( ( big_g @ U )
=> ( big_j @ U ) ) )
=> ! [W: $i,Y: $i] :
( ( ( big_f @ W )
& ( big_g @ Y ) )
=> ( ( big_h @ W )
& ( big_j @ Y ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[8]) ).
thf(11,plain,
( ( ~ ( ! [W: $i,Y: $i] :
( ( ( big_f @ W )
& ( big_g @ Y ) )
=> ( ( big_h @ W )
& ( big_j @ Y ) ) )
=> ( ! [X: $i] :
( ( big_f @ X )
=> ( big_h @ X ) )
& ! [U: $i] :
( ( big_g @ U )
=> ( big_j @ U ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[9]) ).
thf(12,plain,
( ( ! [X: $i] :
( ~ ( big_f @ X )
| ( big_h @ X ) )
& ! [U: $i] :
( ~ ( big_g @ U )
| ( big_j @ U ) )
& ( big_f @ sK1_W )
& ( big_g @ sK2_SY6 )
& ( ~ ( big_h @ sK1_W )
| ~ ( big_j @ sK2_SY6 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[10]) ).
thf(13,plain,
( ( ! [W: $i] :
( ~ ( big_f @ W )
| ! [Y: $i] :
~ ( big_g @ Y )
| ( big_h @ W ) )
& ! [W: $i,Y: $i] :
( ~ ( big_f @ W )
| ~ ( big_g @ Y )
| ( big_j @ Y ) )
& ( sK5_REN
| ( ( big_g @ sK3_U )
& ~ ( big_j @ sK3_U ) ) )
& ( sK5_REN
=> ( ( big_f @ sK4_X )
& ~ ( big_h @ sK4_X ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[11]) ).
thf(14,plain,
( ( big_g @ sK6_Y )
= $true ),
inference(extcnf_combined,[status(esa)],[6]) ).
thf(15,plain,
( ( big_f @ sK7_X )
= $true ),
inference(extcnf_combined,[status(esa)],[7]) ).
thf(16,plain,
( ( big_f @ sK7_X )
= $true ),
inference(copy,[status(thm)],[15]) ).
thf(17,plain,
( ( big_g @ sK6_Y )
= $true ),
inference(copy,[status(thm)],[14]) ).
thf(18,plain,
( ( ! [X: $i] :
( ~ ( big_f @ X )
| ( big_h @ X ) )
& ! [U: $i] :
( ~ ( big_g @ U )
| ( big_j @ U ) )
& ( big_f @ sK1_W )
& ( big_g @ sK2_SY6 )
& ( ~ ( big_h @ sK1_W )
| ~ ( big_j @ sK2_SY6 ) ) )
= $true ),
inference(copy,[status(thm)],[12]) ).
thf(19,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( big_f @ SX0 )
| ( big_h @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( big_g @ SX0 )
| ( big_j @ SX0 ) ) )
| ~ ~ ( ~ ~ ( ~ ( big_f @ sK1_W )
| ~ ( big_g @ sK2_SY6 ) )
| ~ ( ~ ( big_h @ sK1_W )
| ~ ( big_j @ sK2_SY6 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(20,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( big_f @ SX0 )
| ( big_h @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( big_g @ SX0 )
| ( big_j @ SX0 ) ) )
| ~ ~ ( ~ ~ ( ~ ( big_f @ sK1_W )
| ~ ( big_g @ sK2_SY6 ) )
| ~ ( ~ ( big_h @ sK1_W )
| ~ ( big_j @ sK2_SY6 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[19]) ).
thf(21,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( big_f @ SX0 )
| ( big_h @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( big_g @ SX0 )
| ( big_j @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[20]) ).
thf(22,plain,
( ( ~ ~ ( ~ ~ ( ~ ( big_f @ sK1_W )
| ~ ( big_g @ sK2_SY6 ) )
| ~ ( ~ ( big_h @ sK1_W )
| ~ ( big_j @ sK2_SY6 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[20]) ).
thf(23,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( big_f @ SX0 )
| ( big_h @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( big_g @ SX0 )
| ( big_j @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[21]) ).
thf(24,plain,
( ( ~ ( ~ ~ ( ~ ( big_f @ sK1_W )
| ~ ( big_g @ sK2_SY6 ) )
| ~ ( ~ ( big_h @ sK1_W )
| ~ ( big_j @ sK2_SY6 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[22]) ).
thf(25,plain,
( ( ~ ! [SX0: $i] :
( ~ ( big_f @ SX0 )
| ( big_h @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( big_g @ SX0 )
| ( big_j @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[23]) ).
thf(26,plain,
( ( ~ ~ ( ~ ( big_f @ sK1_W )
| ~ ( big_g @ sK2_SY6 ) )
| ~ ( ~ ( big_h @ sK1_W )
| ~ ( big_j @ sK2_SY6 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[24]) ).
thf(27,plain,
( ( ~ ! [SX0: $i] :
( ~ ( big_f @ SX0 )
| ( big_h @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[25]) ).
thf(28,plain,
( ( ~ ! [SX0: $i] :
( ~ ( big_g @ SX0 )
| ( big_j @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[25]) ).
thf(29,plain,
( ( ~ ~ ( ~ ( big_f @ sK1_W )
| ~ ( big_g @ sK2_SY6 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[26]) ).
thf(30,plain,
( ( ~ ( ~ ( big_h @ sK1_W )
| ~ ( big_j @ sK2_SY6 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[26]) ).
thf(31,plain,
( ( ! [SX0: $i] :
( ~ ( big_f @ SX0 )
| ( big_h @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[27]) ).
thf(32,plain,
( ( ! [SX0: $i] :
( ~ ( big_g @ SX0 )
| ( big_j @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[28]) ).
thf(33,plain,
( ( ~ ( ~ ( big_f @ sK1_W )
| ~ ( big_g @ sK2_SY6 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[29]) ).
thf(34,plain,
( ( ~ ( big_h @ sK1_W )
| ~ ( big_j @ sK2_SY6 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[30]) ).
thf(35,plain,
! [SV1: $i] :
( ( ~ ( big_f @ SV1 )
| ( big_h @ SV1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[31]) ).
thf(36,plain,
! [SV2: $i] :
( ( ~ ( big_g @ SV2 )
| ( big_j @ SV2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[32]) ).
thf(37,plain,
( ( ~ ( big_f @ sK1_W )
| ~ ( big_g @ sK2_SY6 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[33]) ).
thf(38,plain,
( ( ( ~ ( big_h @ sK1_W ) )
= $true )
| ( ( ~ ( big_j @ sK2_SY6 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[34]) ).
thf(39,plain,
! [SV1: $i] :
( ( ( ~ ( big_f @ SV1 ) )
= $true )
| ( ( big_h @ SV1 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[35]) ).
thf(40,plain,
! [SV2: $i] :
( ( ( ~ ( big_g @ SV2 ) )
= $true )
| ( ( big_j @ SV2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[36]) ).
thf(41,plain,
( ( ~ ( big_f @ sK1_W ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[37]) ).
thf(42,plain,
( ( ~ ( big_g @ sK2_SY6 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[37]) ).
thf(43,plain,
( ( ( big_h @ sK1_W )
= $false )
| ( ( ~ ( big_j @ sK2_SY6 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[38]) ).
thf(44,plain,
! [SV1: $i] :
( ( ( big_f @ SV1 )
= $false )
| ( ( big_h @ SV1 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[39]) ).
thf(45,plain,
! [SV2: $i] :
( ( ( big_g @ SV2 )
= $false )
| ( ( big_j @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[40]) ).
thf(46,plain,
( ( big_f @ sK1_W )
= $true ),
inference(extcnf_not_neg,[status(thm)],[41]) ).
thf(47,plain,
( ( big_g @ sK2_SY6 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[42]) ).
thf(48,plain,
( ( ( big_j @ sK2_SY6 )
= $false )
| ( ( big_h @ sK1_W )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[43]) ).
thf(49,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[16,48,47,46,45,44,17]) ).
thf(50,plain,
( ( big_f @ sK7_X )
= $true ),
inference(copy,[status(thm)],[15]) ).
thf(51,plain,
( ( big_g @ sK6_Y )
= $true ),
inference(copy,[status(thm)],[14]) ).
thf(52,plain,
( ( ! [W: $i] :
( ~ ( big_f @ W )
| ! [Y: $i] :
~ ( big_g @ Y )
| ( big_h @ W ) )
& ! [W: $i,Y: $i] :
( ~ ( big_f @ W )
| ~ ( big_g @ Y )
| ( big_j @ Y ) )
& ( sK5_REN
| ( ( big_g @ sK3_U )
& ~ ( big_j @ sK3_U ) ) )
& ( sK5_REN
=> ( ( big_f @ sK4_X )
& ~ ( big_h @ sK4_X ) ) ) )
= $true ),
inference(copy,[status(thm)],[13]) ).
thf(53,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( big_f @ SX0 )
| ! [SX1: $i] :
~ ( big_g @ SX1 )
| ( big_h @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( big_f @ SX0 )
| ~ ( big_g @ SX1 )
| ( big_j @ SX1 ) ) )
| ~ ~ ( ~ ( sK5_REN
| ~ ( ~ ( big_g @ sK3_U )
| ~ ~ ( big_j @ sK3_U ) ) )
| ~ ( ~ sK5_REN
| ~ ( ~ ( big_f @ sK4_X )
| ~ ~ ( big_h @ sK4_X ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[52]) ).
thf(54,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( big_f @ SX0 )
| ! [SX1: $i] :
~ ( big_g @ SX1 )
| ( big_h @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( big_f @ SX0 )
| ~ ( big_g @ SX1 )
| ( big_j @ SX1 ) ) )
| ~ ~ ( ~ ( sK5_REN
| ~ ( ~ ( big_g @ sK3_U )
| ~ ~ ( big_j @ sK3_U ) ) )
| ~ ( ~ sK5_REN
| ~ ( ~ ( big_f @ sK4_X )
| ~ ~ ( big_h @ sK4_X ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[53]) ).
thf(55,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( big_f @ SX0 )
| ! [SX1: $i] :
~ ( big_g @ SX1 )
| ( big_h @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( big_f @ SX0 )
| ~ ( big_g @ SX1 )
| ( big_j @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[54]) ).
thf(56,plain,
( ( ~ ~ ( ~ ( sK5_REN
| ~ ( ~ ( big_g @ sK3_U )
| ~ ~ ( big_j @ sK3_U ) ) )
| ~ ( ~ sK5_REN
| ~ ( ~ ( big_f @ sK4_X )
| ~ ~ ( big_h @ sK4_X ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[54]) ).
thf(57,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( big_f @ SX0 )
| ! [SX1: $i] :
~ ( big_g @ SX1 )
| ( big_h @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( big_f @ SX0 )
| ~ ( big_g @ SX1 )
| ( big_j @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[55]) ).
thf(58,plain,
( ( ~ ( ~ ( sK5_REN
| ~ ( ~ ( big_g @ sK3_U )
| ~ ~ ( big_j @ sK3_U ) ) )
| ~ ( ~ sK5_REN
| ~ ( ~ ( big_f @ sK4_X )
| ~ ~ ( big_h @ sK4_X ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[56]) ).
thf(59,plain,
( ( ~ ! [SX0: $i] :
( ~ ( big_f @ SX0 )
| ! [SX1: $i] :
~ ( big_g @ SX1 )
| ( big_h @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( big_f @ SX0 )
| ~ ( big_g @ SX1 )
| ( big_j @ SX1 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[57]) ).
thf(60,plain,
( ( ~ ( sK5_REN
| ~ ( ~ ( big_g @ sK3_U )
| ~ ~ ( big_j @ sK3_U ) ) )
| ~ ( ~ sK5_REN
| ~ ( ~ ( big_f @ sK4_X )
| ~ ~ ( big_h @ sK4_X ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[58]) ).
thf(61,plain,
( ( ~ ! [SX0: $i] :
( ~ ( big_f @ SX0 )
| ! [SX1: $i] :
~ ( big_g @ SX1 )
| ( big_h @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[59]) ).
thf(62,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( big_f @ SX0 )
| ~ ( big_g @ SX1 )
| ( big_j @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[59]) ).
thf(63,plain,
( ( ~ ( sK5_REN
| ~ ( ~ ( big_g @ sK3_U )
| ~ ~ ( big_j @ sK3_U ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[60]) ).
thf(64,plain,
( ( ~ ( ~ sK5_REN
| ~ ( ~ ( big_f @ sK4_X )
| ~ ~ ( big_h @ sK4_X ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[60]) ).
thf(65,plain,
( ( ! [SX0: $i] :
( ~ ( big_f @ SX0 )
| ! [SX1: $i] :
~ ( big_g @ SX1 )
| ( big_h @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[61]) ).
thf(66,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( big_f @ SX0 )
| ~ ( big_g @ SX1 )
| ( big_j @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[62]) ).
thf(67,plain,
( ( sK5_REN
| ~ ( ~ ( big_g @ sK3_U )
| ~ ~ ( big_j @ sK3_U ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[63]) ).
thf(68,plain,
( ( ~ sK5_REN
| ~ ( ~ ( big_f @ sK4_X )
| ~ ~ ( big_h @ sK4_X ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[64]) ).
thf(69,plain,
! [SV3: $i] :
( ( ~ ( big_f @ SV3 )
| ! [SX1: $i] :
~ ( big_g @ SX1 )
| ( big_h @ SV3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[65]) ).
thf(70,plain,
! [SV4: $i] :
( ( ! [SY8: $i] :
( ~ ( big_f @ SV4 )
| ~ ( big_g @ SY8 )
| ( big_j @ SY8 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[66]) ).
thf(71,plain,
( ( sK5_REN = $true )
| ( ( ~ ( ~ ( big_g @ sK3_U )
| ~ ~ ( big_j @ sK3_U ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[67]) ).
thf(72,plain,
( ( ( ~ sK5_REN )
= $true )
| ( ( ~ ( ~ ( big_f @ sK4_X )
| ~ ~ ( big_h @ sK4_X ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[68]) ).
thf(73,plain,
! [SV3: $i] :
( ( ( ~ ( big_f @ SV3 )
| ! [SX1: $i] :
~ ( big_g @ SX1 ) )
= $true )
| ( ( big_h @ SV3 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[69]) ).
thf(74,plain,
! [SV5: $i,SV4: $i] :
( ( ~ ( big_f @ SV4 )
| ~ ( big_g @ SV5 )
| ( big_j @ SV5 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[70]) ).
thf(75,plain,
( ( ( ~ ( big_g @ sK3_U )
| ~ ~ ( big_j @ sK3_U ) )
= $false )
| ( sK5_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[71]) ).
thf(76,plain,
( ( sK5_REN = $false )
| ( ( ~ ( ~ ( big_f @ sK4_X )
| ~ ~ ( big_h @ sK4_X ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[72]) ).
thf(77,plain,
! [SV3: $i] :
( ( ( ~ ( big_f @ SV3 ) )
= $true )
| ( ( ! [SX1: $i] :
~ ( big_g @ SX1 ) )
= $true )
| ( ( big_h @ SV3 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[73]) ).
thf(78,plain,
! [SV5: $i,SV4: $i] :
( ( ( ~ ( big_f @ SV4 )
| ~ ( big_g @ SV5 ) )
= $true )
| ( ( big_j @ SV5 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[74]) ).
thf(79,plain,
( ( ( ~ ( big_g @ sK3_U ) )
= $false )
| ( sK5_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[75]) ).
thf(80,plain,
( ( ( ~ ~ ( big_j @ sK3_U ) )
= $false )
| ( sK5_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[75]) ).
thf(81,plain,
( ( ( ~ ( big_f @ sK4_X )
| ~ ~ ( big_h @ sK4_X ) )
= $false )
| ( sK5_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[76]) ).
thf(82,plain,
! [SV3: $i] :
( ( ( big_f @ SV3 )
= $false )
| ( ( ! [SX1: $i] :
~ ( big_g @ SX1 ) )
= $true )
| ( ( big_h @ SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[77]) ).
thf(83,plain,
! [SV5: $i,SV4: $i] :
( ( ( ~ ( big_f @ SV4 ) )
= $true )
| ( ( ~ ( big_g @ SV5 ) )
= $true )
| ( ( big_j @ SV5 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[78]) ).
thf(84,plain,
( ( ( big_g @ sK3_U )
= $true )
| ( sK5_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[79]) ).
thf(85,plain,
( ( ( ~ ( big_j @ sK3_U ) )
= $true )
| ( sK5_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[80]) ).
thf(86,plain,
( ( ( ~ ( big_f @ sK4_X ) )
= $false )
| ( sK5_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[81]) ).
thf(87,plain,
( ( ( ~ ~ ( big_h @ sK4_X ) )
= $false )
| ( sK5_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[81]) ).
thf(88,plain,
! [SV3: $i,SV6: $i] :
( ( ( ~ ( big_g @ SV6 ) )
= $true )
| ( ( big_f @ SV3 )
= $false )
| ( ( big_h @ SV3 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[82]) ).
thf(89,plain,
! [SV5: $i,SV4: $i] :
( ( ( big_f @ SV4 )
= $false )
| ( ( ~ ( big_g @ SV5 ) )
= $true )
| ( ( big_j @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[83]) ).
thf(90,plain,
( ( ( big_j @ sK3_U )
= $false )
| ( sK5_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[85]) ).
thf(91,plain,
( ( ( big_f @ sK4_X )
= $true )
| ( sK5_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[86]) ).
thf(92,plain,
( ( ( ~ ( big_h @ sK4_X ) )
= $true )
| ( sK5_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[87]) ).
thf(93,plain,
! [SV3: $i,SV6: $i] :
( ( ( big_g @ SV6 )
= $false )
| ( ( big_f @ SV3 )
= $false )
| ( ( big_h @ SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[88]) ).
thf(94,plain,
! [SV4: $i,SV5: $i] :
( ( ( big_g @ SV5 )
= $false )
| ( ( big_f @ SV4 )
= $false )
| ( ( big_j @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[89]) ).
thf(95,plain,
( ( ( big_h @ sK4_X )
= $false )
| ( sK5_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[92]) ).
thf(96,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[50,95,94,93,91,90,84,51]) ).
thf(97,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[96,49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN059+1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.34 % Computer : n011.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue Jul 12 00:24:58 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35
% 0.13/0.35 No.of.Axioms: 2
% 0.13/0.35
% 0.13/0.35 Length.of.Defs: 0
% 0.13/0.35
% 0.13/0.35 Contains.Choice.Funs: false
% 0.13/0.35 (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:600,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:4,loop_count:0,foatp_calls:0,translation:fof_full)....
% 0.19/0.41
% 0.19/0.41 ********************************
% 0.19/0.41 * All subproblems solved! *
% 0.19/0.41 ********************************
% 0.19/0.41 % SZS status Theorem for /export/starexec/sandbox2/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:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:96,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.19/0.42
% 0.19/0.42 %**** Beginning of derivation protocol ****
% 0.19/0.42 % SZS output start CNFRefutation
% See solution above
% 0.19/0.42
% 0.19/0.42 %**** End of derivation protocol ****
% 0.19/0.42 %**** no. of clauses in derivation: 97 ****
% 0.19/0.42 %**** clause counter: 96 ****
% 0.19/0.42
% 0.19/0.42 % SZS status Theorem for /export/starexec/sandbox2/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:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:96,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------