TSTP Solution File: SYO266^5 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SYO266^5 : 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 : n029.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 17:33:05 EDT 2022
% Result : Theorem 0.07s 0.30s
% Output : CNFRefutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 6
% Syntax : Number of formulae : 76 ( 56 unt; 5 typ; 0 def)
% Number of atoms : 342 ( 83 equ; 0 cnn)
% Maximal formula atoms : 4 ( 4 avg)
% Number of connectives : 797 ( 245 ~; 152 |; 21 &; 372 @)
% ( 3 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 44 ( 44 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 84 ( 0 ^ 77 !; 7 ?; 84 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_cP,type,
cP: $i > $o ).
thf(tp_cQ,type,
cQ: $i > $o ).
thf(tp_sK1_Y,type,
sK1_Y: $i ).
thf(tp_sK2_S,type,
sK2_S: $i > $o ).
thf(tp_sK3_X,type,
sK3_X: ( $i > $o ) > $i ).
thf(1,conjecture,
( ? [S: $i > $o] :
! [X: $i] :
( ( ( S @ X )
| ( cP @ X ) )
& ( ~ ( S @ X )
| ( cQ @ X ) ) )
<=> ! [Y: $i] :
( ( cP @ Y )
| ( cQ @ Y ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM44) ).
thf(2,negated_conjecture,
( ( ? [S: $i > $o] :
! [X: $i] :
( ( ( S @ X )
| ( cP @ X ) )
& ( ~ ( S @ X )
| ( cQ @ X ) ) )
<=> ! [Y: $i] :
( ( cP @ Y )
| ( cQ @ Y ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ? [S: $i > $o] :
! [X: $i] :
( ( ( S @ X )
| ( cP @ X ) )
& ( ~ ( S @ X )
| ( cQ @ X ) ) )
<=> ! [Y: $i] :
( ( cP @ Y )
| ( cQ @ Y ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ? [S: $i > $o] :
! [X: $i] :
( ( ( S @ X )
| ( cP @ X ) )
& ( ~ ( S @ X )
| ( cQ @ X ) ) )
=> ! [Y: $i] :
( ( cP @ Y )
| ( cQ @ Y ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[3]) ).
thf(5,plain,
( ( ! [Y: $i] :
( ( cP @ Y )
| ( cQ @ Y ) )
=> ? [S: $i > $o] :
! [X: $i] :
( ( ( S @ X )
| ( cP @ X ) )
& ( ~ ( S @ X )
| ( cQ @ X ) ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[3]) ).
thf(6,plain,
( ( ~ ( ? [S: $i > $o] :
! [X: $i] :
( ( ( S @ X )
| ( cP @ X ) )
& ( ~ ( S @ X )
| ( cQ @ X ) ) )
=> ! [Y: $i] :
( ( cP @ Y )
| ( cQ @ Y ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[4]) ).
thf(7,plain,
( ( ~ ( ! [Y: $i] :
( ( cP @ Y )
| ( cQ @ Y ) )
=> ? [S: $i > $o] :
! [X: $i] :
( ( ( S @ X )
| ( cP @ X ) )
& ( ~ ( S @ X )
| ( cQ @ X ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[5]) ).
thf(8,plain,
( ( ! [SY3: $i] :
( ( sK2_S @ SY3 )
| ( cP @ SY3 ) )
& ! [SY4: $i] :
( ~ ( sK2_S @ SY4 )
| ( cQ @ SY4 ) )
& ~ ( cP @ sK1_Y )
& ~ ( cQ @ sK1_Y ) )
= $true ),
inference(extcnf_combined,[status(esa)],[6]) ).
thf(9,plain,
( ( ! [Y: $i] :
( ( cP @ Y )
| ( cQ @ Y ) )
& ! [S: $i > $o] :
( ( ~ ( S @ ( sK3_X @ S ) )
| ( S @ ( sK3_X @ S ) ) )
& ( ~ ( S @ ( sK3_X @ S ) )
| ~ ( cQ @ ( sK3_X @ S ) ) )
& ( ~ ( cP @ ( sK3_X @ S ) )
| ( S @ ( sK3_X @ S ) ) )
& ( ~ ( cP @ ( sK3_X @ S ) )
| ~ ( cQ @ ( sK3_X @ S ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[7]) ).
thf(10,plain,
( ( ! [SY3: $i] :
( ( sK2_S @ SY3 )
| ( cP @ SY3 ) )
& ! [SY4: $i] :
( ~ ( sK2_S @ SY4 )
| ( cQ @ SY4 ) )
& ~ ( cP @ sK1_Y )
& ~ ( cQ @ sK1_Y ) )
= $true ),
inference(copy,[status(thm)],[8]) ).
thf(11,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( sK2_S @ SX0 )
| ( cP @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( sK2_S @ SX0 )
| ( cQ @ SX0 ) ) )
| ~ ~ ( ~ ~ ( cP @ sK1_Y )
| ~ ~ ( cQ @ sK1_Y ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(12,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ( sK2_S @ SX0 )
| ( cP @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( sK2_S @ SX0 )
| ( cQ @ SX0 ) ) )
| ~ ~ ( ~ ~ ( cP @ sK1_Y )
| ~ ~ ( cQ @ sK1_Y ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[11]) ).
thf(13,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ( sK2_S @ SX0 )
| ( cP @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( sK2_S @ SX0 )
| ( cQ @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[12]) ).
thf(14,plain,
( ( ~ ~ ( ~ ~ ( cP @ sK1_Y )
| ~ ~ ( cQ @ sK1_Y ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[12]) ).
thf(15,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ( sK2_S @ SX0 )
| ( cP @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( sK2_S @ SX0 )
| ( cQ @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[13]) ).
thf(16,plain,
( ( ~ ( ~ ~ ( cP @ sK1_Y )
| ~ ~ ( cQ @ sK1_Y ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[14]) ).
thf(17,plain,
( ( ~ ! [SX0: $i] :
( ( sK2_S @ SX0 )
| ( cP @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( sK2_S @ SX0 )
| ( cQ @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[15]) ).
thf(18,plain,
( ( ~ ~ ( cP @ sK1_Y )
| ~ ~ ( cQ @ sK1_Y ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[16]) ).
thf(19,plain,
( ( ~ ! [SX0: $i] :
( ( sK2_S @ SX0 )
| ( cP @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[17]) ).
thf(20,plain,
( ( ~ ! [SX0: $i] :
( ~ ( sK2_S @ SX0 )
| ( cQ @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[17]) ).
thf(21,plain,
( ( ~ ~ ( cP @ sK1_Y ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[18]) ).
thf(22,plain,
( ( ~ ~ ( cQ @ sK1_Y ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[18]) ).
thf(23,plain,
( ( ! [SX0: $i] :
( ( sK2_S @ SX0 )
| ( cP @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[19]) ).
thf(24,plain,
( ( ! [SX0: $i] :
( ~ ( sK2_S @ SX0 )
| ( cQ @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[20]) ).
thf(25,plain,
( ( ~ ( cP @ sK1_Y ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[21]) ).
thf(26,plain,
( ( ~ ( cQ @ sK1_Y ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[22]) ).
thf(27,plain,
! [SV1: $i] :
( ( ( sK2_S @ SV1 )
| ( cP @ SV1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[23]) ).
thf(28,plain,
! [SV2: $i] :
( ( ~ ( sK2_S @ SV2 )
| ( cQ @ SV2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[24]) ).
thf(29,plain,
( ( cP @ sK1_Y )
= $false ),
inference(extcnf_not_pos,[status(thm)],[25]) ).
thf(30,plain,
( ( cQ @ sK1_Y )
= $false ),
inference(extcnf_not_pos,[status(thm)],[26]) ).
thf(31,plain,
! [SV1: $i] :
( ( ( sK2_S @ SV1 )
= $true )
| ( ( cP @ SV1 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[27]) ).
thf(32,plain,
! [SV2: $i] :
( ( ( ~ ( sK2_S @ SV2 ) )
= $true )
| ( ( cQ @ SV2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[28]) ).
thf(33,plain,
! [SV2: $i] :
( ( ( sK2_S @ SV2 )
= $false )
| ( ( cQ @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[32]) ).
thf(34,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[29,33,31,30]) ).
thf(35,plain,
( ( ! [Y: $i] :
( ( cP @ Y )
| ( cQ @ Y ) )
& ! [S: $i > $o] :
( ( ~ ( S @ ( sK3_X @ S ) )
| ( S @ ( sK3_X @ S ) ) )
& ( ~ ( S @ ( sK3_X @ S ) )
| ~ ( cQ @ ( sK3_X @ S ) ) )
& ( ~ ( cP @ ( sK3_X @ S ) )
| ( S @ ( sK3_X @ S ) ) )
& ( ~ ( cP @ ( sK3_X @ S ) )
| ~ ( cQ @ ( sK3_X @ S ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(36,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ( cP @ SX0 )
| ( cQ @ SX0 ) )
| ~ ! [SX0: $i > $o] :
~ ( ~ ~ ( ~ ( ~ ( SX0 @ ( sK3_X @ SX0 ) )
| ( SX0 @ ( sK3_X @ SX0 ) ) )
| ~ ( ~ ( SX0 @ ( sK3_X @ SX0 ) )
| ~ ( cQ @ ( sK3_X @ SX0 ) ) ) )
| ~ ~ ( ~ ( ~ ( cP @ ( sK3_X @ SX0 ) )
| ( SX0 @ ( sK3_X @ SX0 ) ) )
| ~ ( ~ ( cP @ ( sK3_X @ SX0 ) )
| ~ ( cQ @ ( sK3_X @ SX0 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[35]) ).
thf(37,plain,
( ( ~ ! [SX0: $i] :
( ( cP @ SX0 )
| ( cQ @ SX0 ) )
| ~ ! [SX0: $i > $o] :
~ ( ~ ~ ( ~ ( ~ ( SX0 @ ( sK3_X @ SX0 ) )
| ( SX0 @ ( sK3_X @ SX0 ) ) )
| ~ ( ~ ( SX0 @ ( sK3_X @ SX0 ) )
| ~ ( cQ @ ( sK3_X @ SX0 ) ) ) )
| ~ ~ ( ~ ( ~ ( cP @ ( sK3_X @ SX0 ) )
| ( SX0 @ ( sK3_X @ SX0 ) ) )
| ~ ( ~ ( cP @ ( sK3_X @ SX0 ) )
| ~ ( cQ @ ( sK3_X @ SX0 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[36]) ).
thf(38,plain,
( ( ~ ! [SX0: $i] :
( ( cP @ SX0 )
| ( cQ @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[37]) ).
thf(39,plain,
( ( ~ ! [SX0: $i > $o] :
~ ( ~ ~ ( ~ ( ~ ( SX0 @ ( sK3_X @ SX0 ) )
| ( SX0 @ ( sK3_X @ SX0 ) ) )
| ~ ( ~ ( SX0 @ ( sK3_X @ SX0 ) )
| ~ ( cQ @ ( sK3_X @ SX0 ) ) ) )
| ~ ~ ( ~ ( ~ ( cP @ ( sK3_X @ SX0 ) )
| ( SX0 @ ( sK3_X @ SX0 ) ) )
| ~ ( ~ ( cP @ ( sK3_X @ SX0 ) )
| ~ ( cQ @ ( sK3_X @ SX0 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[37]) ).
thf(40,plain,
( ( ! [SX0: $i] :
( ( cP @ SX0 )
| ( cQ @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[38]) ).
thf(41,plain,
( ( ! [SX0: $i > $o] :
~ ( ~ ~ ( ~ ( ~ ( SX0 @ ( sK3_X @ SX0 ) )
| ( SX0 @ ( sK3_X @ SX0 ) ) )
| ~ ( ~ ( SX0 @ ( sK3_X @ SX0 ) )
| ~ ( cQ @ ( sK3_X @ SX0 ) ) ) )
| ~ ~ ( ~ ( ~ ( cP @ ( sK3_X @ SX0 ) )
| ( SX0 @ ( sK3_X @ SX0 ) ) )
| ~ ( ~ ( cP @ ( sK3_X @ SX0 ) )
| ~ ( cQ @ ( sK3_X @ SX0 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[39]) ).
thf(42,plain,
! [SV3: $i] :
( ( ( cP @ SV3 )
| ( cQ @ SV3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[40]) ).
thf(43,plain,
! [SV4: $i > $o] :
( ( ~ ( ~ ~ ( ~ ( ~ ( SV4 @ ( sK3_X @ SV4 ) )
| ( SV4 @ ( sK3_X @ SV4 ) ) )
| ~ ( ~ ( SV4 @ ( sK3_X @ SV4 ) )
| ~ ( cQ @ ( sK3_X @ SV4 ) ) ) )
| ~ ~ ( ~ ( ~ ( cP @ ( sK3_X @ SV4 ) )
| ( SV4 @ ( sK3_X @ SV4 ) ) )
| ~ ( ~ ( cP @ ( sK3_X @ SV4 ) )
| ~ ( cQ @ ( sK3_X @ SV4 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[41]) ).
thf(44,plain,
! [SV3: $i] :
( ( ( cP @ SV3 )
= $true )
| ( ( cQ @ SV3 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[42]) ).
thf(45,plain,
! [SV4: $i > $o] :
( ( ~ ~ ( ~ ( ~ ( SV4 @ ( sK3_X @ SV4 ) )
| ( SV4 @ ( sK3_X @ SV4 ) ) )
| ~ ( ~ ( SV4 @ ( sK3_X @ SV4 ) )
| ~ ( cQ @ ( sK3_X @ SV4 ) ) ) )
| ~ ~ ( ~ ( ~ ( cP @ ( sK3_X @ SV4 ) )
| ( SV4 @ ( sK3_X @ SV4 ) ) )
| ~ ( ~ ( cP @ ( sK3_X @ SV4 ) )
| ~ ( cQ @ ( sK3_X @ SV4 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[43]) ).
thf(46,plain,
! [SV4: $i > $o] :
( ( ~ ~ ( ~ ( ~ ( SV4 @ ( sK3_X @ SV4 ) )
| ( SV4 @ ( sK3_X @ SV4 ) ) )
| ~ ( ~ ( SV4 @ ( sK3_X @ SV4 ) )
| ~ ( cQ @ ( sK3_X @ SV4 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[45]) ).
thf(47,plain,
! [SV4: $i > $o] :
( ( ~ ~ ( ~ ( ~ ( cP @ ( sK3_X @ SV4 ) )
| ( SV4 @ ( sK3_X @ SV4 ) ) )
| ~ ( ~ ( cP @ ( sK3_X @ SV4 ) )
| ~ ( cQ @ ( sK3_X @ SV4 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[45]) ).
thf(48,plain,
! [SV4: $i > $o] :
( ( ~ ( ~ ( ~ ( SV4 @ ( sK3_X @ SV4 ) )
| ( SV4 @ ( sK3_X @ SV4 ) ) )
| ~ ( ~ ( SV4 @ ( sK3_X @ SV4 ) )
| ~ ( cQ @ ( sK3_X @ SV4 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[46]) ).
thf(49,plain,
! [SV4: $i > $o] :
( ( ~ ( ~ ( ~ ( cP @ ( sK3_X @ SV4 ) )
| ( SV4 @ ( sK3_X @ SV4 ) ) )
| ~ ( ~ ( cP @ ( sK3_X @ SV4 ) )
| ~ ( cQ @ ( sK3_X @ SV4 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[47]) ).
thf(50,plain,
! [SV4: $i > $o] :
( ( ~ ( ~ ( SV4 @ ( sK3_X @ SV4 ) )
| ( SV4 @ ( sK3_X @ SV4 ) ) )
| ~ ( ~ ( SV4 @ ( sK3_X @ SV4 ) )
| ~ ( cQ @ ( sK3_X @ SV4 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[48]) ).
thf(51,plain,
! [SV4: $i > $o] :
( ( ~ ( ~ ( cP @ ( sK3_X @ SV4 ) )
| ( SV4 @ ( sK3_X @ SV4 ) ) )
| ~ ( ~ ( cP @ ( sK3_X @ SV4 ) )
| ~ ( cQ @ ( sK3_X @ SV4 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[49]) ).
thf(52,plain,
! [SV4: $i > $o] :
( ( ~ ( ~ ( SV4 @ ( sK3_X @ SV4 ) )
| ( SV4 @ ( sK3_X @ SV4 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[50]) ).
thf(53,plain,
! [SV4: $i > $o] :
( ( ~ ( ~ ( SV4 @ ( sK3_X @ SV4 ) )
| ~ ( cQ @ ( sK3_X @ SV4 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[50]) ).
thf(54,plain,
! [SV4: $i > $o] :
( ( ~ ( ~ ( cP @ ( sK3_X @ SV4 ) )
| ( SV4 @ ( sK3_X @ SV4 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[51]) ).
thf(55,plain,
! [SV4: $i > $o] :
( ( ~ ( ~ ( cP @ ( sK3_X @ SV4 ) )
| ~ ( cQ @ ( sK3_X @ SV4 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[51]) ).
thf(56,plain,
! [SV4: $i > $o] :
( ( ~ ( SV4 @ ( sK3_X @ SV4 ) )
| ( SV4 @ ( sK3_X @ SV4 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[52]) ).
thf(57,plain,
! [SV4: $i > $o] :
( ( ~ ( SV4 @ ( sK3_X @ SV4 ) )
| ~ ( cQ @ ( sK3_X @ SV4 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[53]) ).
thf(58,plain,
! [SV4: $i > $o] :
( ( ~ ( cP @ ( sK3_X @ SV4 ) )
| ( SV4 @ ( sK3_X @ SV4 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[54]) ).
thf(59,plain,
! [SV4: $i > $o] :
( ( ~ ( cP @ ( sK3_X @ SV4 ) )
| ~ ( cQ @ ( sK3_X @ SV4 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[55]) ).
thf(60,plain,
! [SV4: $i > $o] :
( ( ( ~ ( SV4 @ ( sK3_X @ SV4 ) ) )
= $true )
| ( ( SV4 @ ( sK3_X @ SV4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[56]) ).
thf(61,plain,
! [SV4: $i > $o] :
( ( ( ~ ( SV4 @ ( sK3_X @ SV4 ) ) )
= $true )
| ( ( ~ ( cQ @ ( sK3_X @ SV4 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[57]) ).
thf(62,plain,
! [SV4: $i > $o] :
( ( ( ~ ( cP @ ( sK3_X @ SV4 ) ) )
= $true )
| ( ( SV4 @ ( sK3_X @ SV4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[58]) ).
thf(63,plain,
! [SV4: $i > $o] :
( ( ( ~ ( cP @ ( sK3_X @ SV4 ) ) )
= $true )
| ( ( ~ ( cQ @ ( sK3_X @ SV4 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[59]) ).
thf(64,plain,
! [SV4: $i > $o] :
( ( ( SV4 @ ( sK3_X @ SV4 ) )
= $false )
| ( ( SV4 @ ( sK3_X @ SV4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[60]) ).
thf(65,plain,
! [SV4: $i > $o] :
( ( ( SV4 @ ( sK3_X @ SV4 ) )
= $false )
| ( ( ~ ( cQ @ ( sK3_X @ SV4 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[61]) ).
thf(66,plain,
! [SV4: $i > $o] :
( ( ( cP @ ( sK3_X @ SV4 ) )
= $false )
| ( ( SV4 @ ( sK3_X @ SV4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[62]) ).
thf(67,plain,
! [SV4: $i > $o] :
( ( ( cP @ ( sK3_X @ SV4 ) )
= $false )
| ( ( ~ ( cQ @ ( sK3_X @ SV4 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[63]) ).
thf(68,plain,
! [SV4: $i > $o] :
( ( ( cQ @ ( sK3_X @ SV4 ) )
= $false )
| ( ( SV4 @ ( sK3_X @ SV4 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[65]) ).
thf(69,plain,
! [SV4: $i > $o] :
( ( ( cQ @ ( sK3_X @ SV4 ) )
= $false )
| ( ( cP @ ( sK3_X @ SV4 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[67]) ).
thf(70,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[44,69,68,66,64]) ).
thf(71,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[70,34]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : SYO266^5 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.08 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.07/0.26 % Computer : n029.cluster.edu
% 0.07/0.26 % Model : x86_64 x86_64
% 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26 % Memory : 8042.1875MB
% 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26 % CPULimit : 300
% 0.07/0.26 % WCLimit : 600
% 0.07/0.26 % DateTime : Sat Jul 9 02:20:45 EDT 2022
% 0.07/0.26 % CPUTime :
% 0.07/0.26
% 0.07/0.26 No.of.Axioms: 0
% 0.07/0.26
% 0.07/0.26 Length.of.Defs: 0
% 0.07/0.26
% 0.07/0.26 Contains.Choice.Funs: false
% 0.07/0.26 (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)..
% 0.07/0.30
% 0.07/0.30 ********************************
% 0.07/0.30 * All subproblems solved! *
% 0.07/0.30 ********************************
% 0.07/0.30 % SZS status Theorem for /export/starexec/sandbox2/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:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:70,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.07/0.30
% 0.07/0.30 %**** Beginning of derivation protocol ****
% 0.07/0.30 % SZS output start CNFRefutation
% See solution above
% 0.07/0.30
% 0.07/0.30 %**** End of derivation protocol ****
% 0.07/0.30 %**** no. of clauses in derivation: 71 ****
% 0.07/0.30 %**** clause counter: 70 ****
% 0.07/0.30
% 0.07/0.30 % SZS status Theorem for /export/starexec/sandbox2/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:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:70,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------