TSTP Solution File: SYO226^5 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SYO226^5 : 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 : n004.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 17:32:51 EDT 2022
% Result : Theorem 0.18s 0.50s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 4
% Syntax : Number of formulae : 77 ( 17 unt; 3 typ; 0 def)
% Number of atoms : 359 ( 189 equ; 0 cnn)
% Maximal formula atoms : 3 ( 4 avg)
% Number of connectives : 1621 ( 636 ~; 104 |; 0 &; 870 @)
% ( 0 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 131 ( 131 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 3 usr; 4 con; 0-2 aty)
% Number of variables : 397 ( 320 ^ 77 !; 0 ?; 397 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_sK1_X,type,
sK1_X: $i ).
thf(tp_sK2_SY4,type,
sK2_SY4: $i ).
thf(tp_sK3_Z,type,
sK3_Z: ( $i > $i > $o ) > $i ).
thf(1,conjecture,
! [X: $i,Y: $i] :
( ! [R: $i > $i > $o] :
( ! [Z: $i] : ( R @ Z @ Z )
=> ( R @ X @ Y ) )
=> ( X = Y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM47B) ).
thf(2,negated_conjecture,
( ( ! [X: $i,Y: $i] :
( ! [R: $i > $i > $o] :
( ! [Z: $i] : ( R @ Z @ Z )
=> ( R @ X @ Y ) )
=> ( X = Y ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ! [X: $i,Y: $i] :
( ! [R: $i > $i > $o] :
( ! [Z: $i] : ( R @ Z @ Z )
=> ( R @ X @ Y ) )
=> ( X = Y ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ! [SY4: $i] :
( ! [SY5: $i > $i > $o] :
( ! [Z: $i] : ( SY5 @ Z @ Z )
=> ( SY5 @ sK1_X @ SY4 ) )
=> ( sK1_X = SY4 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[3]) ).
thf(5,plain,
( ( ! [SY7: $i > $i > $o] :
( ! [Z: $i] : ( SY7 @ Z @ Z )
=> ( SY7 @ sK1_X @ sK2_SY4 ) )
=> ( sK1_X = sK2_SY4 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[4]) ).
thf(6,plain,
( ( ! [SY7: $i > $i > $o] :
( ! [Z: $i] : ( SY7 @ Z @ Z )
=> ( SY7 @ sK1_X @ sK2_SY4 ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[5]) ).
thf(7,plain,
( ( sK1_X = sK2_SY4 )
= $false ),
inference(standard_cnf,[status(thm)],[5]) ).
thf(8,plain,
( ( ( sK1_X != sK2_SY4 ) )
= $true ),
inference(polarity_switch,[status(thm)],[7]) ).
thf(9,plain,
( ( ! [SY7: $i > $i > $o] :
( ~ ( SY7 @ ( sK3_Z @ SY7 ) @ ( sK3_Z @ SY7 ) )
| ( SY7 @ sK1_X @ sK2_SY4 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[6]) ).
thf(10,plain,
( ( ! [SY7: $i > $i > $o] :
( ~ ( SY7 @ ( sK3_Z @ SY7 ) @ ( sK3_Z @ SY7 ) )
| ( SY7 @ sK1_X @ sK2_SY4 ) ) )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(11,plain,
( ( ( sK1_X != sK2_SY4 ) )
= $true ),
inference(copy,[status(thm)],[8]) ).
thf(12,plain,
! [SV1: $i > $i > $o] :
( ( ~ ( SV1 @ ( sK3_Z @ SV1 ) @ ( sK3_Z @ SV1 ) )
| ( SV1 @ sK1_X @ sK2_SY4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[10]) ).
thf(13,plain,
( ( sK1_X = sK2_SY4 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[11]) ).
thf(14,plain,
! [SV1: $i > $i > $o] :
( ( ( ~ ( SV1 @ ( sK3_Z @ SV1 ) @ ( sK3_Z @ SV1 ) ) )
= $true )
| ( ( SV1 @ sK1_X @ sK2_SY4 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[12]) ).
thf(15,plain,
! [SV1: $i > $i > $o] :
( ( ( SV1 @ ( sK3_Z @ SV1 ) @ ( sK3_Z @ SV1 ) )
= $false )
| ( ( SV1 @ sK1_X @ sK2_SY4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[14]) ).
thf(16,plain,
( ( ( ( sK3_Z
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
= ( sK3_Z
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
= $false )
| ( ( sK1_X = sK2_SY4 )
= $true ) ),
inference(replace_andrewsEQ,[status(thm)],[15:[bind(SV1,$thf( ^ [SV3: $i] : ^ [SV2: $i] : ( SV3 = SV2 ) ))]]) ).
thf(17,plain,
( ( sK1_X = sK2_SY4 )
= $true ),
inference(sim,[status(thm)],[16]) ).
thf(20,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ( SV6
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ( SV6 @ SX0 @ SX1 ) )
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ( SV6 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ( SV6 @ sK1_X @ sK2_SY4 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[15:[bind(SV1,$thf( ^ [SV4: $i] : ^ [SV5: $i] : ~ ( SV6 @ SV4 @ SV5 ) ))]]) ).
thf(22,plain,
( ( ( ( sK3_Z
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
= ( sK3_Z
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
= $false )
| ( ( sK1_X = sK2_SY4 )
= $true ) ),
inference(prim_subst,[status(thm)],[15:[bind(SV1,$thf( ^ [SV12: $i] : ^ [SV11: $i] : ( SV12 = SV11 ) ))]]) ).
thf(23,plain,
! [SV1: $i > $i > $o] :
( ( ( SV1 @ ( sK3_Z @ SV1 ) @ ( sK3_Z @ SV1 ) )
= $false )
| ( ( ( SV1 @ ( sK3_Z @ SV1 ) @ ( sK3_Z @ SV1 ) )
= ( ~ ( SV1 @ sK1_X @ sK2_SY4 ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[15]) ).
thf(24,plain,
! [SV1: $i > $i > $o] :
( ( ( ~ ( ( SV1 @ ( sK3_Z @ SV1 ) @ ( sK3_Z @ SV1 ) )
| ~ ( SV1 @ sK1_X @ sK2_SY4 ) )
| ~ ( ~ ( SV1 @ ( sK3_Z @ SV1 ) @ ( sK3_Z @ SV1 ) )
| ~ ~ ( SV1 @ sK1_X @ sK2_SY4 ) ) )
= $false )
| ( ( SV1 @ ( sK3_Z @ SV1 ) @ ( sK3_Z @ SV1 ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[23]) ).
thf(25,plain,
! [SV1: $i > $i > $o] :
( ( ( ( SV1 @ ( sK3_Z @ SV1 ) @ ( sK3_Z @ SV1 ) )
= ( ~ ( SV1 @ sK1_X @ sK2_SY4 ) ) )
= $false )
| ( ( SV1 @ ( sK3_Z @ SV1 ) @ ( sK3_Z @ SV1 ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[23]) ).
thf(27,plain,
! [SV1: $i > $i > $o] :
( ( ( ~ ( ~ ( SV1 @ ( sK3_Z @ SV1 ) @ ( sK3_Z @ SV1 ) )
| ~ ~ ( SV1 @ sK1_X @ sK2_SY4 ) ) )
= $false )
| ( ( SV1 @ ( sK3_Z @ SV1 ) @ ( sK3_Z @ SV1 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[24]) ).
thf(29,plain,
! [SV1: $i > $i > $o] :
( ( ( ~ ( SV1 @ ( sK3_Z @ SV1 ) @ ( sK3_Z @ SV1 ) )
| ~ ~ ( SV1 @ sK1_X @ sK2_SY4 ) )
= $true )
| ( ( SV1 @ ( sK3_Z @ SV1 ) @ ( sK3_Z @ SV1 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[27]) ).
thf(31,plain,
! [SV1: $i > $i > $o] :
( ( ( ~ ( SV1 @ ( sK3_Z @ SV1 ) @ ( sK3_Z @ SV1 ) ) )
= $true )
| ( ( ~ ~ ( SV1 @ sK1_X @ sK2_SY4 ) )
= $true )
| ( ( SV1 @ ( sK3_Z @ SV1 ) @ ( sK3_Z @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[29]) ).
thf(33,plain,
! [SV1: $i > $i > $o] :
( ( ( SV1 @ ( sK3_Z @ SV1 ) @ ( sK3_Z @ SV1 ) )
= $false )
| ( ( ~ ~ ( SV1 @ sK1_X @ sK2_SY4 ) )
= $true )
| ( ( SV1 @ ( sK3_Z @ SV1 ) @ ( sK3_Z @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[31]) ).
thf(34,plain,
! [SV1: $i > $i > $o] :
( ( ( ~ ( SV1 @ sK1_X @ sK2_SY4 ) )
= $false )
| ( ( SV1 @ ( sK3_Z @ SV1 ) @ ( sK3_Z @ SV1 ) )
= $false )
| ( ( SV1 @ ( sK3_Z @ SV1 ) @ ( sK3_Z @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[33]) ).
thf(35,plain,
! [SV1: $i > $i > $o] :
( ( ( SV1 @ sK1_X @ sK2_SY4 )
= $true )
| ( ( SV1 @ ( sK3_Z @ SV1 ) @ ( sK3_Z @ SV1 ) )
= $false )
| ( ( SV1 @ ( sK3_Z @ SV1 ) @ ( sK3_Z @ SV1 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[34]) ).
thf(37,plain,
! [SV37: $i > $i > $o] :
( ( ( ~ ~ ~ ~ ~ ( SV37
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV37 @ SX0 @ SX1 ) )
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV37 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ( SV37
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV37 @ SX0 @ SX1 ) )
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV37 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ~ ( SV37 @ sK1_X @ sK2_SY4 ) )
= $false ) ),
inference(extuni,[status(esa)],[25:[bind(SV1,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ~ ( ~ ( ~ ( ~ ( ~ ( SV37 @ SX0 @ SX1 ) ) ) ) ) ))]]) ).
thf(38,plain,
! [SV32: $i > $i > $o] :
( ( ( ~ ~ ~ ~ ( SV32
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ( SV32 @ SX0 @ SX1 ) )
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ( SV32 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ( SV32
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ( SV32 @ SX0 @ SX1 ) )
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ( SV32 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ~ ~ ( SV32 @ sK1_X @ sK2_SY4 ) )
= $true ) ),
inference(extuni,[status(esa)],[25:[bind(SV1,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ~ ( ~ ( ~ ( ~ ( SV32 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(41,plain,
! [SV27: $i > $i > $o] :
( ( ( ~ ~ ~ ( SV27
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ( SV27 @ SX0 @ SX1 ) )
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ( SV27 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ( SV27
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ( SV27 @ SX0 @ SX1 ) )
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ( SV27 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ~ ( SV27 @ sK1_X @ sK2_SY4 ) )
= $false ) ),
inference(extuni,[status(esa)],[25:[bind(SV1,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ~ ( ~ ( ~ ( SV27 @ SX0 @ SX1 ) ) ) ))]]) ).
thf(42,plain,
! [SV22: $i > $i > $o] :
( ( ( ~ ~ ( SV22
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV22 @ SX0 @ SX1 ) )
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV22 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ( SV22
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV22 @ SX0 @ SX1 ) )
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV22 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ~ ~ ( SV22 @ sK1_X @ sK2_SY4 ) )
= $true ) ),
inference(extuni,[status(esa)],[25:[bind(SV1,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ~ ( ~ ( SV22 @ SX0 @ SX1 ) ) ))]]) ).
thf(45,plain,
! [SV17: $i > $i > $o] :
( ( ( ~ ( SV17
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ( SV17 @ SX0 @ SX1 ) )
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ( SV17 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ( SV17
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ( SV17 @ SX0 @ SX1 ) )
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ( SV17 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ~ ( SV17 @ sK1_X @ sK2_SY4 ) )
= $false ) ),
inference(extuni,[status(esa)],[25:[bind(SV1,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ~ ( SV17 @ SX0 @ SX1 ) ))]]) ).
thf(46,plain,
! [SV17: $i > $i > $o] :
( ( ( SV17
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ( SV17 @ SX0 @ SX1 ) )
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ( SV17 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ~ ( SV17
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ( SV17 @ SX0 @ SX1 ) )
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ( SV17 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ~ ( SV17 @ sK1_X @ sK2_SY4 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[45]) ).
thf(49,plain,
! [SV22: $i > $i > $o] :
( ( ( ~ ( SV22
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV22 @ SX0 @ SX1 ) )
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV22 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ~ ( SV22
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV22 @ SX0 @ SX1 ) )
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV22 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ~ ~ ( SV22 @ sK1_X @ sK2_SY4 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[42]) ).
thf(50,plain,
! [SV27: $i > $i > $o] :
( ( ( ~ ~ ( SV27
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ( SV27 @ SX0 @ SX1 ) )
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ( SV27 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ~ ( SV27
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ( SV27 @ SX0 @ SX1 ) )
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ( SV27 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ~ ( SV27 @ sK1_X @ sK2_SY4 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[41]) ).
thf(53,plain,
! [SV32: $i > $i > $o] :
( ( ( ~ ~ ~ ( SV32
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ( SV32 @ SX0 @ SX1 ) )
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ( SV32 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ~ ( SV32
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ( SV32 @ SX0 @ SX1 ) )
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ( SV32 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ~ ~ ( SV32 @ sK1_X @ sK2_SY4 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[38]) ).
thf(54,plain,
! [SV37: $i > $i > $o] :
( ( ( ~ ~ ~ ~ ( SV37
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV37 @ SX0 @ SX1 ) )
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV37 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ~ ( SV37
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV37 @ SX0 @ SX1 ) )
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV37 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ~ ( SV37 @ sK1_X @ sK2_SY4 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[37]) ).
thf(56,plain,
! [SV17: $i > $i > $o] :
( ( ( SV17
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ( SV17 @ SX0 @ SX1 ) )
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ( SV17 @ SX0 @ SX1 ) ) )
= $true )
| ( ( SV17
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ( SV17 @ SX0 @ SX1 ) )
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ( SV17 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ~ ~ ( SV17 @ sK1_X @ sK2_SY4 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[46]) ).
thf(59,plain,
! [SV22: $i > $i > $o] :
( ( ( SV22
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV22 @ SX0 @ SX1 ) )
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV22 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ~ ( SV22
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV22 @ SX0 @ SX1 ) )
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV22 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ~ ~ ( SV22 @ sK1_X @ sK2_SY4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[49]) ).
thf(60,plain,
! [SV27: $i > $i > $o] :
( ( ( ~ ( SV27
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ( SV27 @ SX0 @ SX1 ) )
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ( SV27 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ( SV27
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ( SV27 @ SX0 @ SX1 ) )
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ( SV27 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ~ ( SV27 @ sK1_X @ sK2_SY4 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[50]) ).
thf(63,plain,
! [SV32: $i > $i > $o] :
( ( ( ~ ~ ( SV32
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ( SV32 @ SX0 @ SX1 ) )
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ( SV32 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ( SV32
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ( SV32 @ SX0 @ SX1 ) )
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ( SV32 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ~ ~ ( SV32 @ sK1_X @ sK2_SY4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[53]) ).
thf(64,plain,
! [SV37: $i > $i > $o] :
( ( ( ~ ~ ~ ( SV37
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV37 @ SX0 @ SX1 ) )
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV37 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ( SV37
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV37 @ SX0 @ SX1 ) )
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV37 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ~ ( SV37 @ sK1_X @ sK2_SY4 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[54]) ).
thf(66,plain,
! [SV17: $i > $i > $o] :
( ( ( ~ ( SV17 @ sK1_X @ sK2_SY4 ) )
= $true )
| ( ( SV17
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ( SV17 @ SX0 @ SX1 ) )
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ( SV17 @ SX0 @ SX1 ) ) )
= $true )
| ( ( SV17
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ( SV17 @ SX0 @ SX1 ) )
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ( SV17 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[56]) ).
thf(69,plain,
! [SV22: $i > $i > $o] :
( ( ( SV22
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV22 @ SX0 @ SX1 ) )
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV22 @ SX0 @ SX1 ) ) )
= $false )
| ( ( SV22
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV22 @ SX0 @ SX1 ) )
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV22 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ~ ~ ( SV22 @ sK1_X @ sK2_SY4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[59]) ).
thf(70,plain,
! [SV27: $i > $i > $o] :
( ( ( SV27
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ( SV27 @ SX0 @ SX1 ) )
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ( SV27 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ~ ( SV27
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ( SV27 @ SX0 @ SX1 ) )
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ( SV27 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ~ ( SV27 @ sK1_X @ sK2_SY4 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[60]) ).
thf(73,plain,
! [SV32: $i > $i > $o] :
( ( ( ~ ( SV32
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ( SV32 @ SX0 @ SX1 ) )
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ( SV32 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ~ ( SV32
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ( SV32 @ SX0 @ SX1 ) )
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ( SV32 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ~ ~ ( SV32 @ sK1_X @ sK2_SY4 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[63]) ).
thf(74,plain,
! [SV37: $i > $i > $o] :
( ( ( ~ ~ ( SV37
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV37 @ SX0 @ SX1 ) )
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV37 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ~ ( SV37
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV37 @ SX0 @ SX1 ) )
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV37 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ~ ( SV37 @ sK1_X @ sK2_SY4 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[64]) ).
thf(76,plain,
! [SV17: $i > $i > $o] :
( ( ( SV17 @ sK1_X @ sK2_SY4 )
= $false )
| ( ( SV17
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ( SV17 @ SX0 @ SX1 ) )
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ( SV17 @ SX0 @ SX1 ) ) )
= $true )
| ( ( SV17
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ( SV17 @ SX0 @ SX1 ) )
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ( SV17 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[66]) ).
thf(79,plain,
! [SV22: $i > $i > $o] :
( ( ( ~ ( SV22 @ sK1_X @ sK2_SY4 ) )
= $false )
| ( ( SV22
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV22 @ SX0 @ SX1 ) )
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV22 @ SX0 @ SX1 ) ) )
= $false )
| ( ( SV22
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV22 @ SX0 @ SX1 ) )
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV22 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[69]) ).
thf(80,plain,
! [SV27: $i > $i > $o] :
( ( ( SV27
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ( SV27 @ SX0 @ SX1 ) )
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ( SV27 @ SX0 @ SX1 ) ) )
= $true )
| ( ( SV27
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ( SV27 @ SX0 @ SX1 ) )
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ( SV27 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ~ ~ ( SV27 @ sK1_X @ sK2_SY4 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[70]) ).
thf(83,plain,
! [SV32: $i > $i > $o] :
( ( ( SV32
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ( SV32 @ SX0 @ SX1 ) )
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ( SV32 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ~ ( SV32
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ( SV32 @ SX0 @ SX1 ) )
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ( SV32 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ~ ~ ( SV32 @ sK1_X @ sK2_SY4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[73]) ).
thf(84,plain,
! [SV37: $i > $i > $o] :
( ( ( ~ ( SV37
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV37 @ SX0 @ SX1 ) )
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV37 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ( SV37
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV37 @ SX0 @ SX1 ) )
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV37 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ~ ( SV37 @ sK1_X @ sK2_SY4 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[74]) ).
thf(87,plain,
! [SV22: $i > $i > $o] :
( ( ( SV22 @ sK1_X @ sK2_SY4 )
= $true )
| ( ( SV22
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV22 @ SX0 @ SX1 ) )
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV22 @ SX0 @ SX1 ) ) )
= $false )
| ( ( SV22
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV22 @ SX0 @ SX1 ) )
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV22 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[79]) ).
thf(88,plain,
! [SV27: $i > $i > $o] :
( ( ( ~ ( SV27 @ sK1_X @ sK2_SY4 ) )
= $true )
| ( ( SV27
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ( SV27 @ SX0 @ SX1 ) )
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ( SV27 @ SX0 @ SX1 ) ) )
= $true )
| ( ( SV27
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ( SV27 @ SX0 @ SX1 ) )
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ( SV27 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[80]) ).
thf(91,plain,
! [SV32: $i > $i > $o] :
( ( ( SV32
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ( SV32 @ SX0 @ SX1 ) )
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ( SV32 @ SX0 @ SX1 ) ) )
= $false )
| ( ( SV32
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ( SV32 @ SX0 @ SX1 ) )
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ( SV32 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ~ ~ ( SV32 @ sK1_X @ sK2_SY4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[83]) ).
thf(92,plain,
! [SV37: $i > $i > $o] :
( ( ( SV37
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV37 @ SX0 @ SX1 ) )
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV37 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ~ ( SV37
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV37 @ SX0 @ SX1 ) )
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV37 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ~ ( SV37 @ sK1_X @ sK2_SY4 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[84]) ).
thf(94,plain,
! [SV27: $i > $i > $o] :
( ( ( SV27 @ sK1_X @ sK2_SY4 )
= $false )
| ( ( SV27
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ( SV27 @ SX0 @ SX1 ) )
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ( SV27 @ SX0 @ SX1 ) ) )
= $true )
| ( ( SV27
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ( SV27 @ SX0 @ SX1 ) )
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ( SV27 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[88]) ).
thf(97,plain,
! [SV32: $i > $i > $o] :
( ( ( ~ ( SV32 @ sK1_X @ sK2_SY4 ) )
= $false )
| ( ( SV32
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ( SV32 @ SX0 @ SX1 ) )
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ( SV32 @ SX0 @ SX1 ) ) )
= $false )
| ( ( SV32
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ( SV32 @ SX0 @ SX1 ) )
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ( SV32 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[91]) ).
thf(98,plain,
! [SV37: $i > $i > $o] :
( ( ( SV37
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV37 @ SX0 @ SX1 ) )
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV37 @ SX0 @ SX1 ) ) )
= $true )
| ( ( SV37
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV37 @ SX0 @ SX1 ) )
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV37 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ~ ~ ( SV37 @ sK1_X @ sK2_SY4 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[92]) ).
thf(101,plain,
! [SV32: $i > $i > $o] :
( ( ( SV32 @ sK1_X @ sK2_SY4 )
= $true )
| ( ( SV32
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ( SV32 @ SX0 @ SX1 ) )
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ( SV32 @ SX0 @ SX1 ) ) )
= $false )
| ( ( SV32
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ( SV32 @ SX0 @ SX1 ) )
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ( SV32 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[97]) ).
thf(102,plain,
! [SV37: $i > $i > $o] :
( ( ( ~ ( SV37 @ sK1_X @ sK2_SY4 ) )
= $true )
| ( ( SV37
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV37 @ SX0 @ SX1 ) )
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV37 @ SX0 @ SX1 ) ) )
= $true )
| ( ( SV37
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV37 @ SX0 @ SX1 ) )
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV37 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[98]) ).
thf(104,plain,
! [SV37: $i > $i > $o] :
( ( ( SV37 @ sK1_X @ sK2_SY4 )
= $false )
| ( ( SV37
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV37 @ SX0 @ SX1 ) )
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV37 @ SX0 @ SX1 ) ) )
= $true )
| ( ( SV37
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV37 @ SX0 @ SX1 ) )
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV37 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[102]) ).
thf(106,plain,
! [SV6: $i > $i > $o] :
( ( ( SV6
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ( SV6 @ SX0 @ SX1 ) )
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ( SV6 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ~ ( SV6 @ sK1_X @ sK2_SY4 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[20]) ).
thf(108,plain,
! [SV6: $i > $i > $o] :
( ( ( SV6 @ sK1_X @ sK2_SY4 )
= $false )
| ( ( SV6
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ( SV6 @ SX0 @ SX1 ) )
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ( SV6 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[106]) ).
thf(110,plain,
( ( sK1_X = sK2_SY4 )
= $true ),
inference(extuni,[status(esa)],[22]) ).
thf(111,plain,
! [SV1: $i > $i > $o] :
( ( ( SV1 @ sK1_X @ sK2_SY4 )
= $true )
| ( ( SV1 @ ( sK3_Z @ SV1 ) @ ( sK3_Z @ SV1 ) )
= $false ) ),
inference(sim,[status(thm)],[35]) ).
thf(112,plain,
! [SV17: $i > $i > $o] :
( ( ( SV17 @ sK1_X @ sK2_SY4 )
= $false )
| ( ( SV17
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ( SV17 @ SX0 @ SX1 ) )
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ( SV17 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(sim,[status(thm)],[76]) ).
thf(113,plain,
! [SV22: $i > $i > $o] :
( ( ( SV22 @ sK1_X @ sK2_SY4 )
= $true )
| ( ( SV22
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV22 @ SX0 @ SX1 ) )
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV22 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(sim,[status(thm)],[87]) ).
thf(114,plain,
! [SV27: $i > $i > $o] :
( ( ( SV27 @ sK1_X @ sK2_SY4 )
= $false )
| ( ( SV27
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ( SV27 @ SX0 @ SX1 ) )
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ( SV27 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(sim,[status(thm)],[94]) ).
thf(115,plain,
! [SV32: $i > $i > $o] :
( ( ( SV32 @ sK1_X @ sK2_SY4 )
= $true )
| ( ( SV32
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ( SV32 @ SX0 @ SX1 ) )
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ( SV32 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(sim,[status(thm)],[101]) ).
thf(116,plain,
! [SV37: $i > $i > $o] :
( ( ( SV37 @ sK1_X @ sK2_SY4 )
= $false )
| ( ( SV37
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV37 @ SX0 @ SX1 ) )
@ ( sK3_Z
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV37 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(sim,[status(thm)],[104]) ).
thf(117,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[13,116,115,114,113,112,111,110,108,17,15]) ).
thf(118,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[117]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.11 % Problem : SYO226^5 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.12 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.33 % Computer : n004.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
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Fri Jul 8 19:10:37 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34
% 0.12/0.34 No.of.Axioms: 0
% 0.12/0.34
% 0.12/0.34 Length.of.Defs: 0
% 0.12/0.34
% 0.12/0.34 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).
% 0.18/0.50
% 0.18/0.50 ********************************
% 0.18/0.50 * All subproblems solved! *
% 0.18/0.50 ********************************
% 0.18/0.50 % 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:117,loop_count:0,foatp_calls:2,translation:fof_full)
% 0.18/0.50
% 0.18/0.50 %**** Beginning of derivation protocol ****
% 0.18/0.50 % SZS output start CNFRefutation
% See solution above
% 0.18/0.50
% 0.18/0.50 %**** End of derivation protocol ****
% 0.18/0.50 %**** no. of clauses in derivation: 74 ****
% 0.18/0.50 %**** clause counter: 117 ****
% 0.18/0.50
% 0.18/0.50 % 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:117,loop_count:0,foatp_calls:2,translation:fof_full)
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