TSTP Solution File: SYN328+1 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SYN328+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 : n014.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 08:25:11 EDT 2022
% Result : Theorem 0.20s 0.42s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 8
% Syntax : Number of formulae : 98 ( 59 unt; 7 typ; 0 def)
% Number of atoms : 838 ( 133 equ; 0 cnn)
% Maximal formula atoms : 13 ( 9 avg)
% Number of connectives : 1921 ( 535 ~; 413 |; 28 &; 905 @)
% ( 12 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 7 ( 7 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 97 ( 0 ^ 93 !; 4 ?; 97 :)
% 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_sK1_Y,type,
sK1_Y: $i > $i ).
thf(tp_sK2_Z,type,
sK2_Z: $i > $i ).
thf(tp_sK3_Z,type,
sK3_Z: $i > $i ).
thf(tp_sK4_Z,type,
sK4_Z: $i > $i ).
thf(1,conjecture,
? [X: $i] :
! [Y: $i,Z: $i] :
( ( ( ( big_f @ Y )
=> ( big_g @ Y ) )
<=> ( big_f @ X ) )
=> ( ( ( ( big_f @ Y )
=> ( big_h @ Y ) )
<=> ( big_g @ X ) )
=> ( ( ( ( ( big_f @ Y )
=> ( big_g @ Y ) )
=> ( big_h @ Y ) )
<=> ( big_h @ X ) )
=> ( ( big_f @ Z )
& ( big_g @ Z )
& ( big_h @ Z ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',church_46_12_3) ).
thf(2,negated_conjecture,
( ( ? [X: $i] :
! [Y: $i,Z: $i] :
( ( ( ( big_f @ Y )
=> ( big_g @ Y ) )
<=> ( big_f @ X ) )
=> ( ( ( ( big_f @ Y )
=> ( big_h @ Y ) )
<=> ( big_g @ X ) )
=> ( ( ( ( ( big_f @ Y )
=> ( big_g @ Y ) )
=> ( big_h @ Y ) )
<=> ( big_h @ X ) )
=> ( ( big_f @ Z )
& ( big_g @ Z )
& ( big_h @ Z ) ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ? [X: $i] :
! [Y: $i,Z: $i] :
( ( ( ( big_f @ Y )
=> ( big_g @ Y ) )
<=> ( big_f @ X ) )
=> ( ( ( ( big_f @ Y )
=> ( big_h @ Y ) )
<=> ( big_g @ X ) )
=> ( ( ( ( ( big_f @ Y )
=> ( big_g @ Y ) )
=> ( big_h @ Y ) )
<=> ( big_h @ X ) )
=> ( ( big_f @ Z )
& ( big_g @ Z )
& ( big_h @ Z ) ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ~ ? [X: $i] :
! [Y: $i,Z: $i] :
( ( ( ( big_f @ Y )
=> ( big_g @ Y ) )
<=> ( big_f @ X ) )
=> ( ( ( ( big_f @ Y )
=> ( big_h @ Y ) )
<=> ( big_g @ X ) )
=> ( ( ( ( ( big_f @ Y )
=> ( big_g @ Y ) )
=> ( big_h @ Y ) )
<=> ( big_h @ X ) )
=> ( ( big_f @ Z )
& ( big_g @ Z )
& ( big_h @ Z ) ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[3]) ).
thf(5,plain,
( ( ! [X: $i] :
( ( ( big_f @ ( sK1_Y @ X ) )
| ( big_f @ X ) )
& ( ~ ( big_g @ ( sK1_Y @ X ) )
| ( big_f @ X ) )
& ( ~ ( big_f @ X )
| ~ ( big_f @ ( sK1_Y @ X ) )
| ( big_g @ ( sK1_Y @ X ) ) )
& ( ( big_f @ ( sK1_Y @ X ) )
| ( big_g @ X ) )
& ( ~ ( big_h @ ( sK1_Y @ X ) )
| ( big_g @ X ) )
& ( ~ ( big_g @ X )
| ~ ( big_f @ ( sK1_Y @ X ) )
| ( big_h @ ( sK1_Y @ X ) ) )
& ( ~ ( big_f @ ( sK1_Y @ X ) )
| ( big_g @ ( sK1_Y @ X ) )
| ( big_h @ X ) )
& ( ~ ( big_h @ ( sK1_Y @ X ) )
| ( big_h @ X ) )
& ( ~ ( big_h @ X )
| ( big_f @ ( sK1_Y @ X ) )
| ( big_h @ ( sK1_Y @ X ) ) )
& ( ~ ( big_h @ X )
| ~ ( big_g @ ( sK1_Y @ X ) )
| ( big_h @ ( sK1_Y @ X ) ) )
& ( ~ ( big_f @ ( sK4_Z @ X ) )
| ~ ( big_g @ ( sK3_Z @ X ) )
| ~ ( big_h @ ( sK2_Z @ X ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[4]) ).
thf(6,plain,
( ( ! [X: $i] :
( ( ( big_f @ ( sK1_Y @ X ) )
| ( big_f @ X ) )
& ( ~ ( big_g @ ( sK1_Y @ X ) )
| ( big_f @ X ) )
& ( ~ ( big_f @ X )
| ~ ( big_f @ ( sK1_Y @ X ) )
| ( big_g @ ( sK1_Y @ X ) ) )
& ( ( big_f @ ( sK1_Y @ X ) )
| ( big_g @ X ) )
& ( ~ ( big_h @ ( sK1_Y @ X ) )
| ( big_g @ X ) )
& ( ~ ( big_g @ X )
| ~ ( big_f @ ( sK1_Y @ X ) )
| ( big_h @ ( sK1_Y @ X ) ) )
& ( ~ ( big_f @ ( sK1_Y @ X ) )
| ( big_g @ ( sK1_Y @ X ) )
| ( big_h @ X ) )
& ( ~ ( big_h @ ( sK1_Y @ X ) )
| ( big_h @ X ) )
& ( ~ ( big_h @ X )
| ( big_f @ ( sK1_Y @ X ) )
| ( big_h @ ( sK1_Y @ X ) ) )
& ( ~ ( big_h @ X )
| ~ ( big_g @ ( sK1_Y @ X ) )
| ( big_h @ ( sK1_Y @ X ) ) )
& ( ~ ( big_f @ ( sK4_Z @ X ) )
| ~ ( big_g @ ( sK3_Z @ X ) )
| ~ ( big_h @ ( sK2_Z @ X ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[5]) ).
thf(7,plain,
( ( ! [SX0: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ( ( big_f @ ( sK1_Y @ SX0 ) )
| ( big_f @ SX0 ) )
| ~ ( ~ ( big_g @ ( sK1_Y @ SX0 ) )
| ( big_f @ SX0 ) ) )
| ~ ( ~ ( big_f @ SX0 )
| ~ ( big_f @ ( sK1_Y @ SX0 ) )
| ( big_g @ ( sK1_Y @ SX0 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( big_f @ ( sK1_Y @ SX0 ) )
| ( big_g @ SX0 ) )
| ~ ( ~ ( big_h @ ( sK1_Y @ SX0 ) )
| ( big_g @ SX0 ) ) )
| ~ ( ~ ( big_g @ SX0 )
| ~ ( big_f @ ( sK1_Y @ SX0 ) )
| ( big_h @ ( sK1_Y @ SX0 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ~ ( big_f @ ( sK1_Y @ SX0 ) )
| ( big_g @ ( sK1_Y @ SX0 ) )
| ( big_h @ SX0 ) )
| ~ ( ~ ( big_h @ ( sK1_Y @ SX0 ) )
| ( big_h @ SX0 ) ) )
| ~ ~ ( ~ ( ~ ( big_h @ SX0 )
| ( big_f @ ( sK1_Y @ SX0 ) )
| ( big_h @ ( sK1_Y @ SX0 ) ) )
| ~ ( ~ ( big_h @ SX0 )
| ~ ( big_g @ ( sK1_Y @ SX0 ) )
| ( big_h @ ( sK1_Y @ SX0 ) ) ) ) )
| ~ ( ~ ( big_f @ ( sK4_Z @ SX0 ) )
| ~ ( big_g @ ( sK3_Z @ SX0 ) )
| ~ ( big_h @ ( sK2_Z @ SX0 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(8,plain,
! [SV1: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( ( big_f @ ( sK1_Y @ SV1 ) )
| ( big_f @ SV1 ) )
| ~ ( ~ ( big_g @ ( sK1_Y @ SV1 ) )
| ( big_f @ SV1 ) ) )
| ~ ( ~ ( big_f @ SV1 )
| ~ ( big_f @ ( sK1_Y @ SV1 ) )
| ( big_g @ ( sK1_Y @ SV1 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( big_f @ ( sK1_Y @ SV1 ) )
| ( big_g @ SV1 ) )
| ~ ( ~ ( big_h @ ( sK1_Y @ SV1 ) )
| ( big_g @ SV1 ) ) )
| ~ ( ~ ( big_g @ SV1 )
| ~ ( big_f @ ( sK1_Y @ SV1 ) )
| ( big_h @ ( sK1_Y @ SV1 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ~ ( big_f @ ( sK1_Y @ SV1 ) )
| ( big_g @ ( sK1_Y @ SV1 ) )
| ( big_h @ SV1 ) )
| ~ ( ~ ( big_h @ ( sK1_Y @ SV1 ) )
| ( big_h @ SV1 ) ) )
| ~ ~ ( ~ ( ~ ( big_h @ SV1 )
| ( big_f @ ( sK1_Y @ SV1 ) )
| ( big_h @ ( sK1_Y @ SV1 ) ) )
| ~ ( ~ ( big_h @ SV1 )
| ~ ( big_g @ ( sK1_Y @ SV1 ) )
| ( big_h @ ( sK1_Y @ SV1 ) ) ) ) )
| ~ ( ~ ( big_f @ ( sK4_Z @ SV1 ) )
| ~ ( big_g @ ( sK3_Z @ SV1 ) )
| ~ ( big_h @ ( sK2_Z @ SV1 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[7]) ).
thf(9,plain,
! [SV1: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( ( big_f @ ( sK1_Y @ SV1 ) )
| ( big_f @ SV1 ) )
| ~ ( ~ ( big_g @ ( sK1_Y @ SV1 ) )
| ( big_f @ SV1 ) ) )
| ~ ( ~ ( big_f @ SV1 )
| ~ ( big_f @ ( sK1_Y @ SV1 ) )
| ( big_g @ ( sK1_Y @ SV1 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( big_f @ ( sK1_Y @ SV1 ) )
| ( big_g @ SV1 ) )
| ~ ( ~ ( big_h @ ( sK1_Y @ SV1 ) )
| ( big_g @ SV1 ) ) )
| ~ ( ~ ( big_g @ SV1 )
| ~ ( big_f @ ( sK1_Y @ SV1 ) )
| ( big_h @ ( sK1_Y @ SV1 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ~ ( big_f @ ( sK1_Y @ SV1 ) )
| ( big_g @ ( sK1_Y @ SV1 ) )
| ( big_h @ SV1 ) )
| ~ ( ~ ( big_h @ ( sK1_Y @ SV1 ) )
| ( big_h @ SV1 ) ) )
| ~ ~ ( ~ ( ~ ( big_h @ SV1 )
| ( big_f @ ( sK1_Y @ SV1 ) )
| ( big_h @ ( sK1_Y @ SV1 ) ) )
| ~ ( ~ ( big_h @ SV1 )
| ~ ( big_g @ ( sK1_Y @ SV1 ) )
| ( big_h @ ( sK1_Y @ SV1 ) ) ) ) )
| ~ ( ~ ( big_f @ ( sK4_Z @ SV1 ) )
| ~ ( big_g @ ( sK3_Z @ SV1 ) )
| ~ ( big_h @ ( sK2_Z @ SV1 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[8]) ).
thf(10,plain,
! [SV1: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( ( big_f @ ( sK1_Y @ SV1 ) )
| ( big_f @ SV1 ) )
| ~ ( ~ ( big_g @ ( sK1_Y @ SV1 ) )
| ( big_f @ SV1 ) ) )
| ~ ( ~ ( big_f @ SV1 )
| ~ ( big_f @ ( sK1_Y @ SV1 ) )
| ( big_g @ ( sK1_Y @ SV1 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[9]) ).
thf(11,plain,
! [SV1: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( big_f @ ( sK1_Y @ SV1 ) )
| ( big_g @ SV1 ) )
| ~ ( ~ ( big_h @ ( sK1_Y @ SV1 ) )
| ( big_g @ SV1 ) ) )
| ~ ( ~ ( big_g @ SV1 )
| ~ ( big_f @ ( sK1_Y @ SV1 ) )
| ( big_h @ ( sK1_Y @ SV1 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ~ ( big_f @ ( sK1_Y @ SV1 ) )
| ( big_g @ ( sK1_Y @ SV1 ) )
| ( big_h @ SV1 ) )
| ~ ( ~ ( big_h @ ( sK1_Y @ SV1 ) )
| ( big_h @ SV1 ) ) )
| ~ ~ ( ~ ( ~ ( big_h @ SV1 )
| ( big_f @ ( sK1_Y @ SV1 ) )
| ( big_h @ ( sK1_Y @ SV1 ) ) )
| ~ ( ~ ( big_h @ SV1 )
| ~ ( big_g @ ( sK1_Y @ SV1 ) )
| ( big_h @ ( sK1_Y @ SV1 ) ) ) ) )
| ~ ( ~ ( big_f @ ( sK4_Z @ SV1 ) )
| ~ ( big_g @ ( sK3_Z @ SV1 ) )
| ~ ( big_h @ ( sK2_Z @ SV1 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[9]) ).
thf(12,plain,
! [SV1: $i] :
( ( ~ ( ~ ~ ( ~ ( ( big_f @ ( sK1_Y @ SV1 ) )
| ( big_f @ SV1 ) )
| ~ ( ~ ( big_g @ ( sK1_Y @ SV1 ) )
| ( big_f @ SV1 ) ) )
| ~ ( ~ ( big_f @ SV1 )
| ~ ( big_f @ ( sK1_Y @ SV1 ) )
| ( big_g @ ( sK1_Y @ SV1 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[10]) ).
thf(13,plain,
! [SV1: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( ( big_f @ ( sK1_Y @ SV1 ) )
| ( big_g @ SV1 ) )
| ~ ( ~ ( big_h @ ( sK1_Y @ SV1 ) )
| ( big_g @ SV1 ) ) )
| ~ ( ~ ( big_g @ SV1 )
| ~ ( big_f @ ( sK1_Y @ SV1 ) )
| ( big_h @ ( sK1_Y @ SV1 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ~ ( big_f @ ( sK1_Y @ SV1 ) )
| ( big_g @ ( sK1_Y @ SV1 ) )
| ( big_h @ SV1 ) )
| ~ ( ~ ( big_h @ ( sK1_Y @ SV1 ) )
| ( big_h @ SV1 ) ) )
| ~ ~ ( ~ ( ~ ( big_h @ SV1 )
| ( big_f @ ( sK1_Y @ SV1 ) )
| ( big_h @ ( sK1_Y @ SV1 ) ) )
| ~ ( ~ ( big_h @ SV1 )
| ~ ( big_g @ ( sK1_Y @ SV1 ) )
| ( big_h @ ( sK1_Y @ SV1 ) ) ) ) )
| ~ ( ~ ( big_f @ ( sK4_Z @ SV1 ) )
| ~ ( big_g @ ( sK3_Z @ SV1 ) )
| ~ ( big_h @ ( sK2_Z @ SV1 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[11]) ).
thf(14,plain,
! [SV1: $i] :
( ( ~ ~ ( ~ ( ( big_f @ ( sK1_Y @ SV1 ) )
| ( big_f @ SV1 ) )
| ~ ( ~ ( big_g @ ( sK1_Y @ SV1 ) )
| ( big_f @ SV1 ) ) )
| ~ ( ~ ( big_f @ SV1 )
| ~ ( big_f @ ( sK1_Y @ SV1 ) )
| ( big_g @ ( sK1_Y @ SV1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[12]) ).
thf(15,plain,
! [SV1: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( ( big_f @ ( sK1_Y @ SV1 ) )
| ( big_g @ SV1 ) )
| ~ ( ~ ( big_h @ ( sK1_Y @ SV1 ) )
| ( big_g @ SV1 ) ) )
| ~ ( ~ ( big_g @ SV1 )
| ~ ( big_f @ ( sK1_Y @ SV1 ) )
| ( big_h @ ( sK1_Y @ SV1 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ~ ( big_f @ ( sK1_Y @ SV1 ) )
| ( big_g @ ( sK1_Y @ SV1 ) )
| ( big_h @ SV1 ) )
| ~ ( ~ ( big_h @ ( sK1_Y @ SV1 ) )
| ( big_h @ SV1 ) ) )
| ~ ~ ( ~ ( ~ ( big_h @ SV1 )
| ( big_f @ ( sK1_Y @ SV1 ) )
| ( big_h @ ( sK1_Y @ SV1 ) ) )
| ~ ( ~ ( big_h @ SV1 )
| ~ ( big_g @ ( sK1_Y @ SV1 ) )
| ( big_h @ ( sK1_Y @ SV1 ) ) ) ) )
| ~ ( ~ ( big_f @ ( sK4_Z @ SV1 ) )
| ~ ( big_g @ ( sK3_Z @ SV1 ) )
| ~ ( big_h @ ( sK2_Z @ SV1 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[13]) ).
thf(16,plain,
! [SV1: $i] :
( ( ~ ~ ( ~ ( ( big_f @ ( sK1_Y @ SV1 ) )
| ( big_f @ SV1 ) )
| ~ ( ~ ( big_g @ ( sK1_Y @ SV1 ) )
| ( big_f @ SV1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[14]) ).
thf(17,plain,
! [SV1: $i] :
( ( ~ ( ~ ( big_f @ SV1 )
| ~ ( big_f @ ( sK1_Y @ SV1 ) )
| ( big_g @ ( sK1_Y @ SV1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[14]) ).
thf(18,plain,
! [SV1: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( ( big_f @ ( sK1_Y @ SV1 ) )
| ( big_g @ SV1 ) )
| ~ ( ~ ( big_h @ ( sK1_Y @ SV1 ) )
| ( big_g @ SV1 ) ) )
| ~ ( ~ ( big_g @ SV1 )
| ~ ( big_f @ ( sK1_Y @ SV1 ) )
| ( big_h @ ( sK1_Y @ SV1 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[15]) ).
thf(19,plain,
! [SV1: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ~ ( big_f @ ( sK1_Y @ SV1 ) )
| ( big_g @ ( sK1_Y @ SV1 ) )
| ( big_h @ SV1 ) )
| ~ ( ~ ( big_h @ ( sK1_Y @ SV1 ) )
| ( big_h @ SV1 ) ) )
| ~ ~ ( ~ ( ~ ( big_h @ SV1 )
| ( big_f @ ( sK1_Y @ SV1 ) )
| ( big_h @ ( sK1_Y @ SV1 ) ) )
| ~ ( ~ ( big_h @ SV1 )
| ~ ( big_g @ ( sK1_Y @ SV1 ) )
| ( big_h @ ( sK1_Y @ SV1 ) ) ) ) )
| ~ ( ~ ( big_f @ ( sK4_Z @ SV1 ) )
| ~ ( big_g @ ( sK3_Z @ SV1 ) )
| ~ ( big_h @ ( sK2_Z @ SV1 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[15]) ).
thf(20,plain,
! [SV1: $i] :
( ( ~ ( ~ ( ( big_f @ ( sK1_Y @ SV1 ) )
| ( big_f @ SV1 ) )
| ~ ( ~ ( big_g @ ( sK1_Y @ SV1 ) )
| ( big_f @ SV1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[16]) ).
thf(21,plain,
! [SV1: $i] :
( ( ~ ( big_f @ SV1 )
| ~ ( big_f @ ( sK1_Y @ SV1 ) )
| ( big_g @ ( sK1_Y @ SV1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[17]) ).
thf(22,plain,
! [SV1: $i] :
( ( ~ ( ~ ~ ( ~ ( ( big_f @ ( sK1_Y @ SV1 ) )
| ( big_g @ SV1 ) )
| ~ ( ~ ( big_h @ ( sK1_Y @ SV1 ) )
| ( big_g @ SV1 ) ) )
| ~ ( ~ ( big_g @ SV1 )
| ~ ( big_f @ ( sK1_Y @ SV1 ) )
| ( big_h @ ( sK1_Y @ SV1 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[18]) ).
thf(23,plain,
! [SV1: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( ~ ( big_f @ ( sK1_Y @ SV1 ) )
| ( big_g @ ( sK1_Y @ SV1 ) )
| ( big_h @ SV1 ) )
| ~ ( ~ ( big_h @ ( sK1_Y @ SV1 ) )
| ( big_h @ SV1 ) ) )
| ~ ~ ( ~ ( ~ ( big_h @ SV1 )
| ( big_f @ ( sK1_Y @ SV1 ) )
| ( big_h @ ( sK1_Y @ SV1 ) ) )
| ~ ( ~ ( big_h @ SV1 )
| ~ ( big_g @ ( sK1_Y @ SV1 ) )
| ( big_h @ ( sK1_Y @ SV1 ) ) ) ) )
| ~ ( ~ ( big_f @ ( sK4_Z @ SV1 ) )
| ~ ( big_g @ ( sK3_Z @ SV1 ) )
| ~ ( big_h @ ( sK2_Z @ SV1 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[19]) ).
thf(24,plain,
! [SV1: $i] :
( ( ~ ( ( big_f @ ( sK1_Y @ SV1 ) )
| ( big_f @ SV1 ) )
| ~ ( ~ ( big_g @ ( sK1_Y @ SV1 ) )
| ( big_f @ SV1 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[20]) ).
thf(25,plain,
! [SV1: $i] :
( ( ( ~ ( big_f @ SV1 ) )
= $true )
| ( ( ~ ( big_f @ ( sK1_Y @ SV1 ) )
| ( big_g @ ( sK1_Y @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[21]) ).
thf(26,plain,
! [SV1: $i] :
( ( ~ ~ ( ~ ( ( big_f @ ( sK1_Y @ SV1 ) )
| ( big_g @ SV1 ) )
| ~ ( ~ ( big_h @ ( sK1_Y @ SV1 ) )
| ( big_g @ SV1 ) ) )
| ~ ( ~ ( big_g @ SV1 )
| ~ ( big_f @ ( sK1_Y @ SV1 ) )
| ( big_h @ ( sK1_Y @ SV1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[22]) ).
thf(27,plain,
! [SV1: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( ~ ( big_f @ ( sK1_Y @ SV1 ) )
| ( big_g @ ( sK1_Y @ SV1 ) )
| ( big_h @ SV1 ) )
| ~ ( ~ ( big_h @ ( sK1_Y @ SV1 ) )
| ( big_h @ SV1 ) ) )
| ~ ~ ( ~ ( ~ ( big_h @ SV1 )
| ( big_f @ ( sK1_Y @ SV1 ) )
| ( big_h @ ( sK1_Y @ SV1 ) ) )
| ~ ( ~ ( big_h @ SV1 )
| ~ ( big_g @ ( sK1_Y @ SV1 ) )
| ( big_h @ ( sK1_Y @ SV1 ) ) ) ) )
| ~ ( ~ ( big_f @ ( sK4_Z @ SV1 ) )
| ~ ( big_g @ ( sK3_Z @ SV1 ) )
| ~ ( big_h @ ( sK2_Z @ SV1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[23]) ).
thf(28,plain,
! [SV1: $i] :
( ( ~ ( ( big_f @ ( sK1_Y @ SV1 ) )
| ( big_f @ SV1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[24]) ).
thf(29,plain,
! [SV1: $i] :
( ( ~ ( ~ ( big_g @ ( sK1_Y @ SV1 ) )
| ( big_f @ SV1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[24]) ).
thf(30,plain,
! [SV1: $i] :
( ( ( big_f @ SV1 )
= $false )
| ( ( ~ ( big_f @ ( sK1_Y @ SV1 ) )
| ( big_g @ ( sK1_Y @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[25]) ).
thf(31,plain,
! [SV1: $i] :
( ( ~ ~ ( ~ ( ( big_f @ ( sK1_Y @ SV1 ) )
| ( big_g @ SV1 ) )
| ~ ( ~ ( big_h @ ( sK1_Y @ SV1 ) )
| ( big_g @ SV1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[26]) ).
thf(32,plain,
! [SV1: $i] :
( ( ~ ( ~ ( big_g @ SV1 )
| ~ ( big_f @ ( sK1_Y @ SV1 ) )
| ( big_h @ ( sK1_Y @ SV1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[26]) ).
thf(33,plain,
! [SV1: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( ~ ( big_f @ ( sK1_Y @ SV1 ) )
| ( big_g @ ( sK1_Y @ SV1 ) )
| ( big_h @ SV1 ) )
| ~ ( ~ ( big_h @ ( sK1_Y @ SV1 ) )
| ( big_h @ SV1 ) ) )
| ~ ~ ( ~ ( ~ ( big_h @ SV1 )
| ( big_f @ ( sK1_Y @ SV1 ) )
| ( big_h @ ( sK1_Y @ SV1 ) ) )
| ~ ( ~ ( big_h @ SV1 )
| ~ ( big_g @ ( sK1_Y @ SV1 ) )
| ( big_h @ ( sK1_Y @ SV1 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[27]) ).
thf(34,plain,
! [SV1: $i] :
( ( ~ ( ~ ( big_f @ ( sK4_Z @ SV1 ) )
| ~ ( big_g @ ( sK3_Z @ SV1 ) )
| ~ ( big_h @ ( sK2_Z @ SV1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[27]) ).
thf(35,plain,
! [SV1: $i] :
( ( ( big_f @ ( sK1_Y @ SV1 ) )
| ( big_f @ SV1 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[28]) ).
thf(36,plain,
! [SV1: $i] :
( ( ~ ( big_g @ ( sK1_Y @ SV1 ) )
| ( big_f @ SV1 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[29]) ).
thf(37,plain,
! [SV1: $i] :
( ( ( ~ ( big_f @ ( sK1_Y @ SV1 ) ) )
= $true )
| ( ( big_g @ ( sK1_Y @ SV1 ) )
= $true )
| ( ( big_f @ SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[30]) ).
thf(38,plain,
! [SV1: $i] :
( ( ~ ( ~ ( ( big_f @ ( sK1_Y @ SV1 ) )
| ( big_g @ SV1 ) )
| ~ ( ~ ( big_h @ ( sK1_Y @ SV1 ) )
| ( big_g @ SV1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[31]) ).
thf(39,plain,
! [SV1: $i] :
( ( ~ ( big_g @ SV1 )
| ~ ( big_f @ ( sK1_Y @ SV1 ) )
| ( big_h @ ( sK1_Y @ SV1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[32]) ).
thf(40,plain,
! [SV1: $i] :
( ( ~ ( ~ ~ ( ~ ( ~ ( big_f @ ( sK1_Y @ SV1 ) )
| ( big_g @ ( sK1_Y @ SV1 ) )
| ( big_h @ SV1 ) )
| ~ ( ~ ( big_h @ ( sK1_Y @ SV1 ) )
| ( big_h @ SV1 ) ) )
| ~ ~ ( ~ ( ~ ( big_h @ SV1 )
| ( big_f @ ( sK1_Y @ SV1 ) )
| ( big_h @ ( sK1_Y @ SV1 ) ) )
| ~ ( ~ ( big_h @ SV1 )
| ~ ( big_g @ ( sK1_Y @ SV1 ) )
| ( big_h @ ( sK1_Y @ SV1 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[33]) ).
thf(41,plain,
! [SV1: $i] :
( ( ~ ( big_f @ ( sK4_Z @ SV1 ) )
| ~ ( big_g @ ( sK3_Z @ SV1 ) )
| ~ ( big_h @ ( sK2_Z @ SV1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[34]) ).
thf(42,plain,
! [SV1: $i] :
( ( ( big_f @ ( sK1_Y @ SV1 ) )
= $true )
| ( ( big_f @ SV1 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[35]) ).
thf(43,plain,
! [SV1: $i] :
( ( ( ~ ( big_g @ ( sK1_Y @ SV1 ) ) )
= $true )
| ( ( big_f @ SV1 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[36]) ).
thf(44,plain,
! [SV1: $i] :
( ( ( big_f @ ( sK1_Y @ SV1 ) )
= $false )
| ( ( big_g @ ( sK1_Y @ SV1 ) )
= $true )
| ( ( big_f @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[37]) ).
thf(45,plain,
! [SV1: $i] :
( ( ~ ( ( big_f @ ( sK1_Y @ SV1 ) )
| ( big_g @ SV1 ) )
| ~ ( ~ ( big_h @ ( sK1_Y @ SV1 ) )
| ( big_g @ SV1 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[38]) ).
thf(46,plain,
! [SV1: $i] :
( ( ( ~ ( big_g @ SV1 ) )
= $true )
| ( ( ~ ( big_f @ ( sK1_Y @ SV1 ) )
| ( big_h @ ( sK1_Y @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[39]) ).
thf(47,plain,
! [SV1: $i] :
( ( ~ ~ ( ~ ( ~ ( big_f @ ( sK1_Y @ SV1 ) )
| ( big_g @ ( sK1_Y @ SV1 ) )
| ( big_h @ SV1 ) )
| ~ ( ~ ( big_h @ ( sK1_Y @ SV1 ) )
| ( big_h @ SV1 ) ) )
| ~ ~ ( ~ ( ~ ( big_h @ SV1 )
| ( big_f @ ( sK1_Y @ SV1 ) )
| ( big_h @ ( sK1_Y @ SV1 ) ) )
| ~ ( ~ ( big_h @ SV1 )
| ~ ( big_g @ ( sK1_Y @ SV1 ) )
| ( big_h @ ( sK1_Y @ SV1 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[40]) ).
thf(48,plain,
! [SV1: $i] :
( ( ( ~ ( big_f @ ( sK4_Z @ SV1 ) )
| ~ ( big_g @ ( sK3_Z @ SV1 ) ) )
= $true )
| ( ( ~ ( big_h @ ( sK2_Z @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[41]) ).
thf(49,plain,
! [SV1: $i] :
( ( ( big_g @ ( sK1_Y @ SV1 ) )
= $false )
| ( ( big_f @ SV1 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[43]) ).
thf(50,plain,
! [SV1: $i] :
( ( ~ ( ( big_f @ ( sK1_Y @ SV1 ) )
| ( big_g @ SV1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[45]) ).
thf(51,plain,
! [SV1: $i] :
( ( ~ ( ~ ( big_h @ ( sK1_Y @ SV1 ) )
| ( big_g @ SV1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[45]) ).
thf(52,plain,
! [SV1: $i] :
( ( ( big_g @ SV1 )
= $false )
| ( ( ~ ( big_f @ ( sK1_Y @ SV1 ) )
| ( big_h @ ( sK1_Y @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[46]) ).
thf(53,plain,
! [SV1: $i] :
( ( ~ ~ ( ~ ( ~ ( big_f @ ( sK1_Y @ SV1 ) )
| ( big_g @ ( sK1_Y @ SV1 ) )
| ( big_h @ SV1 ) )
| ~ ( ~ ( big_h @ ( sK1_Y @ SV1 ) )
| ( big_h @ SV1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[47]) ).
thf(54,plain,
! [SV1: $i] :
( ( ~ ~ ( ~ ( ~ ( big_h @ SV1 )
| ( big_f @ ( sK1_Y @ SV1 ) )
| ( big_h @ ( sK1_Y @ SV1 ) ) )
| ~ ( ~ ( big_h @ SV1 )
| ~ ( big_g @ ( sK1_Y @ SV1 ) )
| ( big_h @ ( sK1_Y @ SV1 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[47]) ).
thf(55,plain,
! [SV1: $i] :
( ( ( ~ ( big_f @ ( sK4_Z @ SV1 ) ) )
= $true )
| ( ( ~ ( big_g @ ( sK3_Z @ SV1 ) ) )
= $true )
| ( ( ~ ( big_h @ ( sK2_Z @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[48]) ).
thf(56,plain,
! [SV1: $i] :
( ( ( big_f @ ( sK1_Y @ SV1 ) )
| ( big_g @ SV1 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[50]) ).
thf(57,plain,
! [SV1: $i] :
( ( ~ ( big_h @ ( sK1_Y @ SV1 ) )
| ( big_g @ SV1 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[51]) ).
thf(58,plain,
! [SV1: $i] :
( ( ( ~ ( big_f @ ( sK1_Y @ SV1 ) ) )
= $true )
| ( ( big_h @ ( sK1_Y @ SV1 ) )
= $true )
| ( ( big_g @ SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[52]) ).
thf(59,plain,
! [SV1: $i] :
( ( ~ ( ~ ( ~ ( big_f @ ( sK1_Y @ SV1 ) )
| ( big_g @ ( sK1_Y @ SV1 ) )
| ( big_h @ SV1 ) )
| ~ ( ~ ( big_h @ ( sK1_Y @ SV1 ) )
| ( big_h @ SV1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[53]) ).
thf(60,plain,
! [SV1: $i] :
( ( ~ ( ~ ( ~ ( big_h @ SV1 )
| ( big_f @ ( sK1_Y @ SV1 ) )
| ( big_h @ ( sK1_Y @ SV1 ) ) )
| ~ ( ~ ( big_h @ SV1 )
| ~ ( big_g @ ( sK1_Y @ SV1 ) )
| ( big_h @ ( sK1_Y @ SV1 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[54]) ).
thf(61,plain,
! [SV1: $i] :
( ( ( big_f @ ( sK4_Z @ SV1 ) )
= $false )
| ( ( ~ ( big_g @ ( sK3_Z @ SV1 ) ) )
= $true )
| ( ( ~ ( big_h @ ( sK2_Z @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[55]) ).
thf(62,plain,
! [SV1: $i] :
( ( ( big_f @ ( sK1_Y @ SV1 ) )
= $true )
| ( ( big_g @ SV1 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[56]) ).
thf(63,plain,
! [SV1: $i] :
( ( ( ~ ( big_h @ ( sK1_Y @ SV1 ) ) )
= $true )
| ( ( big_g @ SV1 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[57]) ).
thf(64,plain,
! [SV1: $i] :
( ( ( big_f @ ( sK1_Y @ SV1 ) )
= $false )
| ( ( big_h @ ( sK1_Y @ SV1 ) )
= $true )
| ( ( big_g @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[58]) ).
thf(65,plain,
! [SV1: $i] :
( ( ~ ( ~ ( big_f @ ( sK1_Y @ SV1 ) )
| ( big_g @ ( sK1_Y @ SV1 ) )
| ( big_h @ SV1 ) )
| ~ ( ~ ( big_h @ ( sK1_Y @ SV1 ) )
| ( big_h @ SV1 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[59]) ).
thf(66,plain,
! [SV1: $i] :
( ( ~ ( ~ ( big_h @ SV1 )
| ( big_f @ ( sK1_Y @ SV1 ) )
| ( big_h @ ( sK1_Y @ SV1 ) ) )
| ~ ( ~ ( big_h @ SV1 )
| ~ ( big_g @ ( sK1_Y @ SV1 ) )
| ( big_h @ ( sK1_Y @ SV1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[60]) ).
thf(67,plain,
! [SV1: $i] :
( ( ( big_g @ ( sK3_Z @ SV1 ) )
= $false )
| ( ( big_f @ ( sK4_Z @ SV1 ) )
= $false )
| ( ( ~ ( big_h @ ( sK2_Z @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[61]) ).
thf(68,plain,
! [SV1: $i] :
( ( ( big_h @ ( sK1_Y @ SV1 ) )
= $false )
| ( ( big_g @ SV1 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[63]) ).
thf(69,plain,
! [SV1: $i] :
( ( ~ ( ~ ( big_f @ ( sK1_Y @ SV1 ) )
| ( big_g @ ( sK1_Y @ SV1 ) )
| ( big_h @ SV1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[65]) ).
thf(70,plain,
! [SV1: $i] :
( ( ~ ( ~ ( big_h @ ( sK1_Y @ SV1 ) )
| ( big_h @ SV1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[65]) ).
thf(71,plain,
! [SV1: $i] :
( ( ~ ( ~ ( big_h @ SV1 )
| ( big_f @ ( sK1_Y @ SV1 ) )
| ( big_h @ ( sK1_Y @ SV1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[66]) ).
thf(72,plain,
! [SV1: $i] :
( ( ~ ( ~ ( big_h @ SV1 )
| ~ ( big_g @ ( sK1_Y @ SV1 ) )
| ( big_h @ ( sK1_Y @ SV1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[66]) ).
thf(73,plain,
! [SV1: $i] :
( ( ( big_h @ ( sK2_Z @ SV1 ) )
= $false )
| ( ( big_f @ ( sK4_Z @ SV1 ) )
= $false )
| ( ( big_g @ ( sK3_Z @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[67]) ).
thf(74,plain,
! [SV1: $i] :
( ( ~ ( big_f @ ( sK1_Y @ SV1 ) )
| ( big_g @ ( sK1_Y @ SV1 ) )
| ( big_h @ SV1 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[69]) ).
thf(75,plain,
! [SV1: $i] :
( ( ~ ( big_h @ ( sK1_Y @ SV1 ) )
| ( big_h @ SV1 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[70]) ).
thf(76,plain,
! [SV1: $i] :
( ( ~ ( big_h @ SV1 )
| ( big_f @ ( sK1_Y @ SV1 ) )
| ( big_h @ ( sK1_Y @ SV1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[71]) ).
thf(77,plain,
! [SV1: $i] :
( ( ~ ( big_h @ SV1 )
| ~ ( big_g @ ( sK1_Y @ SV1 ) )
| ( big_h @ ( sK1_Y @ SV1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[72]) ).
thf(78,plain,
! [SV1: $i] :
( ( ( ~ ( big_f @ ( sK1_Y @ SV1 ) )
| ( big_g @ ( sK1_Y @ SV1 ) ) )
= $true )
| ( ( big_h @ SV1 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[74]) ).
thf(79,plain,
! [SV1: $i] :
( ( ( ~ ( big_h @ ( sK1_Y @ SV1 ) ) )
= $true )
| ( ( big_h @ SV1 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[75]) ).
thf(80,plain,
! [SV1: $i] :
( ( ( ~ ( big_h @ SV1 ) )
= $true )
| ( ( ( big_f @ ( sK1_Y @ SV1 ) )
| ( big_h @ ( sK1_Y @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[76]) ).
thf(81,plain,
! [SV1: $i] :
( ( ( ~ ( big_h @ SV1 ) )
= $true )
| ( ( ~ ( big_g @ ( sK1_Y @ SV1 ) )
| ( big_h @ ( sK1_Y @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[77]) ).
thf(82,plain,
! [SV1: $i] :
( ( ( ~ ( big_f @ ( sK1_Y @ SV1 ) ) )
= $true )
| ( ( big_g @ ( sK1_Y @ SV1 ) )
= $true )
| ( ( big_h @ SV1 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[78]) ).
thf(83,plain,
! [SV1: $i] :
( ( ( big_h @ ( sK1_Y @ SV1 ) )
= $false )
| ( ( big_h @ SV1 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[79]) ).
thf(84,plain,
! [SV1: $i] :
( ( ( big_h @ SV1 )
= $false )
| ( ( ( big_f @ ( sK1_Y @ SV1 ) )
| ( big_h @ ( sK1_Y @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[80]) ).
thf(85,plain,
! [SV1: $i] :
( ( ( big_h @ SV1 )
= $false )
| ( ( ~ ( big_g @ ( sK1_Y @ SV1 ) )
| ( big_h @ ( sK1_Y @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[81]) ).
thf(86,plain,
! [SV1: $i] :
( ( ( big_f @ ( sK1_Y @ SV1 ) )
= $false )
| ( ( big_g @ ( sK1_Y @ SV1 ) )
= $true )
| ( ( big_h @ SV1 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[82]) ).
thf(87,plain,
! [SV1: $i] :
( ( ( big_f @ ( sK1_Y @ SV1 ) )
= $true )
| ( ( big_h @ ( sK1_Y @ SV1 ) )
= $true )
| ( ( big_h @ SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[84]) ).
thf(88,plain,
! [SV1: $i] :
( ( ( ~ ( big_g @ ( sK1_Y @ SV1 ) ) )
= $true )
| ( ( big_h @ ( sK1_Y @ SV1 ) )
= $true )
| ( ( big_h @ SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[85]) ).
thf(89,plain,
! [SV1: $i] :
( ( ( big_g @ ( sK1_Y @ SV1 ) )
= $false )
| ( ( big_h @ ( sK1_Y @ SV1 ) )
= $true )
| ( ( big_h @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[88]) ).
thf(90,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[42,89,87,86,83,73,68,64,62,49,44]) ).
thf(91,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[90]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SYN328+1 : TPTP v8.1.0. Released v2.0.0.
% 0.04/0.14 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.35 % Computer : n014.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Tue Jul 12 06:26:19 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.35
% 0.13/0.35 No.of.Axioms: 0
% 0.13/0.35
% 0.13/0.35 Length.of.Defs: 0
% 0.13/0.35
% 0.13/0.35 Contains.Choice.Funs: false
% 0.13/0.36 (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)..
% 0.20/0.42
% 0.20/0.42 ********************************
% 0.20/0.42 * All subproblems solved! *
% 0.20/0.42 ********************************
% 0.20/0.42 % 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:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:90,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.20/0.42
% 0.20/0.42 %**** Beginning of derivation protocol ****
% 0.20/0.42 % SZS output start CNFRefutation
% See solution above
% 0.20/0.42
% 0.20/0.42 %**** End of derivation protocol ****
% 0.20/0.42 %**** no. of clauses in derivation: 91 ****
% 0.20/0.42 %**** clause counter: 90 ****
% 0.20/0.42
% 0.20/0.42 % 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:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:90,loop_count:0,foatp_calls:1,translation:fof_full)
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