TSTP Solution File: SEV232^5 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SEV232^5 : 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 : n032.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 : Tue Jul 19 17:35:48 EDT 2022
% Result : Theorem 0.14s 0.35s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 11
% Syntax : Number of formulae : 119 ( 19 unt; 10 typ; 0 def)
% Number of atoms : 1314 ( 335 equ; 0 cnn)
% Maximal formula atoms : 6 ( 12 avg)
% Number of connectives : 1879 ( 490 ~; 478 |; 12 &; 875 @)
% ( 0 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 747 ( 747 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 10 usr; 2 con; 0-3 aty)
% Number of variables : 284 ( 18 ^ 266 !; 0 ?; 284 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_c0,type,
c0: ( $i > $o ) > $o ).
thf(tp_cS,type,
cS: ( ( $i > $o ) > $o ) > ( $i > $o ) > $o ).
thf(tp_sK1_SV1,type,
sK1_SV1: ( $i > $o ) > $o ).
thf(tp_sK2_SY10,type,
sK2_SY10: ( ( $i > $o ) > $o ) > $o ).
thf(tp_sK3_SY12,type,
sK3_SY12: ( ( $i > $o ) > $o ) > $o ).
thf(tp_sK4_SY14,type,
sK4_SY14: ( ( ( $i > $o ) > $o ) > $o ) > ( $i > $o ) > $o ).
thf(tp_sK5_SY12,type,
sK5_SY12: ( ( $i > $o ) > $o ) > $o ).
thf(tp_sK6_SY12,type,
sK6_SY12: ( ( $i > $o ) > $o ) > ( ( $i > $o ) > $o ) > $o ).
thf(tp_sK7_SY18,type,
sK7_SY18: ( ( ( $i > $o ) > $o ) > $o ) > ( ( ( $i > $o ) > $o ) > $o ) > ( $i > $o ) > $o ).
thf(tp_sK8_SY19,type,
sK8_SY19: ( ( ( $i > $o ) > $o ) > $o ) > ( ( ( $i > $o ) > $o ) > $o ) > ( $i > $o ) > $o ).
thf(1,conjecture,
( ( ^ [N: ( $i > $o ) > $o] :
! [P: ( ( $i > $o ) > $o ) > $o] :
( ( ( P @ c0 )
& ! [X: ( $i > $o ) > $o] :
( ( P @ X )
=> ( P @ ( cS @ X ) ) ) )
=> ( P @ N ) ) )
= ( ^ [Xx: ( $i > $o ) > $o] :
! [S0: ( ( $i > $o ) > $o ) > $o] :
( ( ( S0 @ c0 )
& ! [X: ( $i > $o ) > $o] :
( ( S0 @ X )
=> ( S0 @ ( cS @ X ) ) ) )
=> ( S0 @ Xx ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cX6007_pme) ).
thf(2,negated_conjecture,
( ( ( ^ [N: ( $i > $o ) > $o] :
! [P: ( ( $i > $o ) > $o ) > $o] :
( ( ( P @ c0 )
& ! [X: ( $i > $o ) > $o] :
( ( P @ X )
=> ( P @ ( cS @ X ) ) ) )
=> ( P @ N ) ) )
= ( ^ [Xx: ( $i > $o ) > $o] :
! [S0: ( ( $i > $o ) > $o ) > $o] :
( ( ( S0 @ c0 )
& ! [X: ( $i > $o ) > $o] :
( ( S0 @ X )
=> ( S0 @ ( cS @ X ) ) ) )
=> ( S0 @ Xx ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ( ^ [N: ( $i > $o ) > $o] :
! [P: ( ( $i > $o ) > $o ) > $o] :
( ( ( P @ c0 )
& ! [X: ( $i > $o ) > $o] :
( ( P @ X )
=> ( P @ ( cS @ X ) ) ) )
=> ( P @ N ) ) )
= ( ^ [Xx: ( $i > $o ) > $o] :
! [S0: ( ( $i > $o ) > $o ) > $o] :
( ( ( S0 @ c0 )
& ! [X: ( $i > $o ) > $o] :
( ( S0 @ X )
=> ( S0 @ ( cS @ X ) ) ) )
=> ( S0 @ Xx ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ( ( ^ [N: ( $i > $o ) > $o] :
! [P: ( ( $i > $o ) > $o ) > $o] :
( ( ( P @ c0 )
& ! [X: ( $i > $o ) > $o] :
( ( P @ X )
=> ( P @ ( cS @ X ) ) ) )
=> ( P @ N ) ) )
!= ( ^ [Xx: ( $i > $o ) > $o] :
! [S0: ( ( $i > $o ) > $o ) > $o] :
( ( ( S0 @ c0 )
& ! [X: ( $i > $o ) > $o] :
( ( S0 @ X )
=> ( S0 @ ( cS @ X ) ) ) )
=> ( S0 @ Xx ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[3]) ).
thf(5,plain,
( ( ( ( ^ [N: ( $i > $o ) > $o] :
! [P: ( ( $i > $o ) > $o ) > $o] :
( ( ! [X: ( $i > $o ) > $o] :
( ( P @ X )
=> ( P @ ( cS @ X ) ) )
& ( P @ c0 ) )
=> ( P @ N ) ) )
!= ( ^ [Xx: ( $i > $o ) > $o] :
! [S0: ( ( $i > $o ) > $o ) > $o] :
( ( ! [X: ( $i > $o ) > $o] :
( ( S0 @ X )
=> ( S0 @ ( cS @ X ) ) )
& ( S0 @ c0 ) )
=> ( S0 @ Xx ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[4]) ).
thf(6,plain,
( ( ( ( ^ [N: ( $i > $o ) > $o] :
! [P: ( ( $i > $o ) > $o ) > $o] :
( ( ! [X: ( $i > $o ) > $o] :
( ( P @ X )
=> ( P @ ( cS @ X ) ) )
& ( P @ c0 ) )
=> ( P @ N ) ) )
!= ( ^ [Xx: ( $i > $o ) > $o] :
! [S0: ( ( $i > $o ) > $o ) > $o] :
( ( ! [X: ( $i > $o ) > $o] :
( ( S0 @ X )
=> ( S0 @ ( cS @ X ) ) )
& ( S0 @ c0 ) )
=> ( S0 @ Xx ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[5]) ).
thf(7,plain,
( ( ( ( ^ [SX0: ( $i > $o ) > $o] :
! [SX1: ( ( $i > $o ) > $o ) > $o] :
( ~ ~ ( ~ ! [SX2: ( $i > $o ) > $o] :
( ~ ( SX1 @ SX2 )
| ( SX1 @ ( cS @ SX2 ) ) )
| ~ ( SX1 @ c0 ) )
| ( SX1 @ SX0 ) ) )
!= ( ^ [SX0: ( $i > $o ) > $o] :
! [SX1: ( ( $i > $o ) > $o ) > $o] :
( ~ ~ ( ~ ! [SX2: ( $i > $o ) > $o] :
( ~ ( SX1 @ SX2 )
| ( SX1 @ ( cS @ SX2 ) ) )
| ~ ( SX1 @ c0 ) )
| ( SX1 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(8,plain,
( ( ( ^ [SX0: ( $i > $o ) > $o] :
! [SX1: ( ( $i > $o ) > $o ) > $o] :
( ~ ~ ( ~ ! [SX2: ( $i > $o ) > $o] :
( ~ ( SX1 @ SX2 )
| ( SX1 @ ( cS @ SX2 ) ) )
| ~ ( SX1 @ c0 ) )
| ( SX1 @ SX0 ) ) )
= ( ^ [SX0: ( $i > $o ) > $o] :
! [SX1: ( ( $i > $o ) > $o ) > $o] :
( ~ ~ ( ~ ! [SX2: ( $i > $o ) > $o] :
( ~ ( SX1 @ SX2 )
| ( SX1 @ ( cS @ SX2 ) ) )
| ~ ( SX1 @ c0 ) )
| ( SX1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[7]) ).
thf(9,plain,
( ( ! [SV1: ( $i > $o ) > $o] :
( ( ! [SY6: ( ( $i > $o ) > $o ) > $o] :
( ~ ~ ( ~ ! [SX2: ( $i > $o ) > $o] :
( ~ ( SY6 @ SX2 )
| ( SY6 @ ( cS @ SX2 ) ) )
| ~ ( SY6 @ c0 ) )
| ( SY6 @ SV1 ) ) )
= ( ! [SY8: ( ( $i > $o ) > $o ) > $o] :
( ~ ~ ( ~ ! [SX2: ( $i > $o ) > $o] :
( ~ ( SY8 @ SX2 )
| ( SY8 @ ( cS @ SX2 ) ) )
| ~ ( SY8 @ c0 ) )
| ( SY8 @ SV1 ) ) ) ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[8]) ).
thf(10,plain,
( ( ( ^ [SX0: ( $i > $o ) > $o] :
! [SX1: ( ( $i > $o ) > $o ) > $o] :
( ~ ~ ( ~ ! [SX2: ( $i > $o ) > $o] :
( ~ ( SX1 @ SX2 )
| ( SX1 @ ( cS @ SX2 ) ) )
| ~ ( SX1 @ c0 ) )
| ( SX1 @ SX0 ) ) )
= ( ^ [SX0: ( $i > $o ) > $o] :
! [SX1: ( ( $i > $o ) > $o ) > $o] :
( ~ ~ ( ~ ! [SX2: ( $i > $o ) > $o] :
( ~ ( SX1 @ SX2 )
| ( SX1 @ ( cS @ SX2 ) ) )
| ~ ( SX1 @ c0 ) )
| ( SX1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[8]) ).
thf(11,plain,
( ( ( ! [SY10: ( ( $i > $o ) > $o ) > $o] :
( ~ ~ ( ~ ! [SX2: ( $i > $o ) > $o] :
( ~ ( SY10 @ SX2 )
| ( SY10 @ ( cS @ SX2 ) ) )
| ~ ( SY10 @ c0 ) )
| ( SY10 @ sK1_SV1 ) ) )
= ( ! [SY12: ( ( $i > $o ) > $o ) > $o] :
( ~ ~ ( ~ ! [SX2: ( $i > $o ) > $o] :
( ~ ( SY12 @ SX2 )
| ( SY12 @ ( cS @ SX2 ) ) )
| ~ ( SY12 @ c0 ) )
| ( SY12 @ sK1_SV1 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[9]) ).
thf(12,plain,
( ( ~ ( ! [SY10: ( ( $i > $o ) > $o ) > $o] :
( ~ ~ ( ~ ! [SX2: ( $i > $o ) > $o] :
( ~ ( SY10 @ SX2 )
| ( SY10 @ ( cS @ SX2 ) ) )
| ~ ( SY10 @ c0 ) )
| ( SY10 @ sK1_SV1 ) )
| ! [SY12: ( ( $i > $o ) > $o ) > $o] :
( ~ ~ ( ~ ! [SX2: ( $i > $o ) > $o] :
( ~ ( SY12 @ SX2 )
| ( SY12 @ ( cS @ SX2 ) ) )
| ~ ( SY12 @ c0 ) )
| ( SY12 @ sK1_SV1 ) ) )
| ~ ( ~ ! [SY10: ( ( $i > $o ) > $o ) > $o] :
( ~ ~ ( ~ ! [SX2: ( $i > $o ) > $o] :
( ~ ( SY10 @ SX2 )
| ( SY10 @ ( cS @ SX2 ) ) )
| ~ ( SY10 @ c0 ) )
| ( SY10 @ sK1_SV1 ) )
| ~ ! [SY12: ( ( $i > $o ) > $o ) > $o] :
( ~ ~ ( ~ ! [SX2: ( $i > $o ) > $o] :
( ~ ( SY12 @ SX2 )
| ( SY12 @ ( cS @ SX2 ) ) )
| ~ ( SY12 @ c0 ) )
| ( SY12 @ sK1_SV1 ) ) ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[11]) ).
thf(13,plain,
( ( ( ! [SY10: ( ( $i > $o ) > $o ) > $o] :
( ~ ~ ( ~ ! [SX2: ( $i > $o ) > $o] :
( ~ ( SY10 @ SX2 )
| ( SY10 @ ( cS @ SX2 ) ) )
| ~ ( SY10 @ c0 ) )
| ( SY10 @ sK1_SV1 ) ) )
= ( ! [SY12: ( ( $i > $o ) > $o ) > $o] :
( ~ ~ ( ~ ! [SX2: ( $i > $o ) > $o] :
( ~ ( SY12 @ SX2 )
| ( SY12 @ ( cS @ SX2 ) ) )
| ~ ( SY12 @ c0 ) )
| ( SY12 @ sK1_SV1 ) ) ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[11]) ).
thf(14,plain,
( ( ~ ( ! [SY10: ( ( $i > $o ) > $o ) > $o] :
( ~ ~ ( ~ ! [SX2: ( $i > $o ) > $o] :
( ~ ( SY10 @ SX2 )
| ( SY10 @ ( cS @ SX2 ) ) )
| ~ ( SY10 @ c0 ) )
| ( SY10 @ sK1_SV1 ) )
| ! [SY12: ( ( $i > $o ) > $o ) > $o] :
( ~ ~ ( ~ ! [SX2: ( $i > $o ) > $o] :
( ~ ( SY12 @ SX2 )
| ( SY12 @ ( cS @ SX2 ) ) )
| ~ ( SY12 @ c0 ) )
| ( SY12 @ sK1_SV1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[12]) ).
thf(15,plain,
( ( ~ ( ~ ! [SY10: ( ( $i > $o ) > $o ) > $o] :
( ~ ~ ( ~ ! [SX2: ( $i > $o ) > $o] :
( ~ ( SY10 @ SX2 )
| ( SY10 @ ( cS @ SX2 ) ) )
| ~ ( SY10 @ c0 ) )
| ( SY10 @ sK1_SV1 ) )
| ~ ! [SY12: ( ( $i > $o ) > $o ) > $o] :
( ~ ~ ( ~ ! [SX2: ( $i > $o ) > $o] :
( ~ ( SY12 @ SX2 )
| ( SY12 @ ( cS @ SX2 ) ) )
| ~ ( SY12 @ c0 ) )
| ( SY12 @ sK1_SV1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[12]) ).
thf(16,plain,
( ( ! [SY10: ( ( $i > $o ) > $o ) > $o] :
( ~ ~ ( ~ ! [SX2: ( $i > $o ) > $o] :
( ~ ( SY10 @ SX2 )
| ( SY10 @ ( cS @ SX2 ) ) )
| ~ ( SY10 @ c0 ) )
| ( SY10 @ sK1_SV1 ) )
| ! [SY12: ( ( $i > $o ) > $o ) > $o] :
( ~ ~ ( ~ ! [SX2: ( $i > $o ) > $o] :
( ~ ( SY12 @ SX2 )
| ( SY12 @ ( cS @ SX2 ) ) )
| ~ ( SY12 @ c0 ) )
| ( SY12 @ sK1_SV1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[14]) ).
thf(17,plain,
( ( ~ ! [SY10: ( ( $i > $o ) > $o ) > $o] :
( ~ ~ ( ~ ! [SX2: ( $i > $o ) > $o] :
( ~ ( SY10 @ SX2 )
| ( SY10 @ ( cS @ SX2 ) ) )
| ~ ( SY10 @ c0 ) )
| ( SY10 @ sK1_SV1 ) )
| ~ ! [SY12: ( ( $i > $o ) > $o ) > $o] :
( ~ ~ ( ~ ! [SX2: ( $i > $o ) > $o] :
( ~ ( SY12 @ SX2 )
| ( SY12 @ ( cS @ SX2 ) ) )
| ~ ( SY12 @ c0 ) )
| ( SY12 @ sK1_SV1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[15]) ).
thf(18,plain,
( ( ( ! [SY10: ( ( $i > $o ) > $o ) > $o] :
( ~ ~ ( ~ ! [SX2: ( $i > $o ) > $o] :
( ~ ( SY10 @ SX2 )
| ( SY10 @ ( cS @ SX2 ) ) )
| ~ ( SY10 @ c0 ) )
| ( SY10 @ sK1_SV1 ) ) )
= $true )
| ( ( ! [SY12: ( ( $i > $o ) > $o ) > $o] :
( ~ ~ ( ~ ! [SX2: ( $i > $o ) > $o] :
( ~ ( SY12 @ SX2 )
| ( SY12 @ ( cS @ SX2 ) ) )
| ~ ( SY12 @ c0 ) )
| ( SY12 @ sK1_SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[16]) ).
thf(19,plain,
( ( ( ~ ! [SY10: ( ( $i > $o ) > $o ) > $o] :
( ~ ~ ( ~ ! [SX2: ( $i > $o ) > $o] :
( ~ ( SY10 @ SX2 )
| ( SY10 @ ( cS @ SX2 ) ) )
| ~ ( SY10 @ c0 ) )
| ( SY10 @ sK1_SV1 ) ) )
= $true )
| ( ( ~ ! [SY12: ( ( $i > $o ) > $o ) > $o] :
( ~ ~ ( ~ ! [SX2: ( $i > $o ) > $o] :
( ~ ( SY12 @ SX2 )
| ( SY12 @ ( cS @ SX2 ) ) )
| ~ ( SY12 @ c0 ) )
| ( SY12 @ sK1_SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[17]) ).
thf(20,plain,
! [SV2: ( ( $i > $o ) > $o ) > $o] :
( ( ( ~ ~ ( ~ ! [SY14: ( $i > $o ) > $o] :
( ~ ( SV2 @ SY14 )
| ( SV2 @ ( cS @ SY14 ) ) )
| ~ ( SV2 @ c0 ) )
| ( SV2 @ sK1_SV1 ) )
= $true )
| ( ( ! [SY12: ( ( $i > $o ) > $o ) > $o] :
( ~ ~ ( ~ ! [SX2: ( $i > $o ) > $o] :
( ~ ( SY12 @ SX2 )
| ( SY12 @ ( cS @ SX2 ) ) )
| ~ ( SY12 @ c0 ) )
| ( SY12 @ sK1_SV1 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[18]) ).
thf(21,plain,
( ( ( ! [SY10: ( ( $i > $o ) > $o ) > $o] :
( ~ ~ ( ~ ! [SX2: ( $i > $o ) > $o] :
( ~ ( SY10 @ SX2 )
| ( SY10 @ ( cS @ SX2 ) ) )
| ~ ( SY10 @ c0 ) )
| ( SY10 @ sK1_SV1 ) ) )
= $false )
| ( ( ~ ! [SY12: ( ( $i > $o ) > $o ) > $o] :
( ~ ~ ( ~ ! [SX2: ( $i > $o ) > $o] :
( ~ ( SY12 @ SX2 )
| ( SY12 @ ( cS @ SX2 ) ) )
| ~ ( SY12 @ c0 ) )
| ( SY12 @ sK1_SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[19]) ).
thf(22,plain,
! [SV2: ( ( $i > $o ) > $o ) > $o] :
( ( ( ~ ~ ( ~ ! [SY14: ( $i > $o ) > $o] :
( ~ ( SV2 @ SY14 )
| ( SV2 @ ( cS @ SY14 ) ) )
| ~ ( SV2 @ c0 ) ) )
= $true )
| ( ( SV2 @ sK1_SV1 )
= $true )
| ( ( ! [SY12: ( ( $i > $o ) > $o ) > $o] :
( ~ ~ ( ~ ! [SX2: ( $i > $o ) > $o] :
( ~ ( SY12 @ SX2 )
| ( SY12 @ ( cS @ SX2 ) ) )
| ~ ( SY12 @ c0 ) )
| ( SY12 @ sK1_SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[20]) ).
thf(23,plain,
( ( ( ~ ~ ( ~ ! [SY15: ( $i > $o ) > $o] :
( ~ ( sK2_SY10 @ SY15 )
| ( sK2_SY10 @ ( cS @ SY15 ) ) )
| ~ ( sK2_SY10 @ c0 ) )
| ( sK2_SY10 @ sK1_SV1 ) )
= $false )
| ( ( ~ ! [SY12: ( ( $i > $o ) > $o ) > $o] :
( ~ ~ ( ~ ! [SX2: ( $i > $o ) > $o] :
( ~ ( SY12 @ SX2 )
| ( SY12 @ ( cS @ SX2 ) ) )
| ~ ( SY12 @ c0 ) )
| ( SY12 @ sK1_SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[21]) ).
thf(24,plain,
! [SV2: ( ( $i > $o ) > $o ) > $o] :
( ( ( ~ ( ~ ! [SY14: ( $i > $o ) > $o] :
( ~ ( SV2 @ SY14 )
| ( SV2 @ ( cS @ SY14 ) ) )
| ~ ( SV2 @ c0 ) ) )
= $false )
| ( ( SV2 @ sK1_SV1 )
= $true )
| ( ( ! [SY12: ( ( $i > $o ) > $o ) > $o] :
( ~ ~ ( ~ ! [SX2: ( $i > $o ) > $o] :
( ~ ( SY12 @ SX2 )
| ( SY12 @ ( cS @ SX2 ) ) )
| ~ ( SY12 @ c0 ) )
| ( SY12 @ sK1_SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[22]) ).
thf(25,plain,
( ( ( ~ ~ ( ~ ! [SY15: ( $i > $o ) > $o] :
( ~ ( sK2_SY10 @ SY15 )
| ( sK2_SY10 @ ( cS @ SY15 ) ) )
| ~ ( sK2_SY10 @ c0 ) ) )
= $false )
| ( ( ~ ! [SY12: ( ( $i > $o ) > $o ) > $o] :
( ~ ~ ( ~ ! [SX2: ( $i > $o ) > $o] :
( ~ ( SY12 @ SX2 )
| ( SY12 @ ( cS @ SX2 ) ) )
| ~ ( SY12 @ c0 ) )
| ( SY12 @ sK1_SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[23]) ).
thf(26,plain,
( ( ( sK2_SY10 @ sK1_SV1 )
= $false )
| ( ( ~ ! [SY12: ( ( $i > $o ) > $o ) > $o] :
( ~ ~ ( ~ ! [SX2: ( $i > $o ) > $o] :
( ~ ( SY12 @ SX2 )
| ( SY12 @ ( cS @ SX2 ) ) )
| ~ ( SY12 @ c0 ) )
| ( SY12 @ sK1_SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[23]) ).
thf(27,plain,
! [SV2: ( ( $i > $o ) > $o ) > $o] :
( ( ( ~ ! [SY14: ( $i > $o ) > $o] :
( ~ ( SV2 @ SY14 )
| ( SV2 @ ( cS @ SY14 ) ) )
| ~ ( SV2 @ c0 ) )
= $true )
| ( ( SV2 @ sK1_SV1 )
= $true )
| ( ( ! [SY12: ( ( $i > $o ) > $o ) > $o] :
( ~ ~ ( ~ ! [SX2: ( $i > $o ) > $o] :
( ~ ( SY12 @ SX2 )
| ( SY12 @ ( cS @ SX2 ) ) )
| ~ ( SY12 @ c0 ) )
| ( SY12 @ sK1_SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[24]) ).
thf(28,plain,
( ( ( ~ ( ~ ! [SY15: ( $i > $o ) > $o] :
( ~ ( sK2_SY10 @ SY15 )
| ( sK2_SY10 @ ( cS @ SY15 ) ) )
| ~ ( sK2_SY10 @ c0 ) ) )
= $true )
| ( ( ~ ! [SY12: ( ( $i > $o ) > $o ) > $o] :
( ~ ~ ( ~ ! [SX2: ( $i > $o ) > $o] :
( ~ ( SY12 @ SX2 )
| ( SY12 @ ( cS @ SX2 ) ) )
| ~ ( SY12 @ c0 ) )
| ( SY12 @ sK1_SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[25]) ).
thf(29,plain,
( ( ( ! [SY12: ( ( $i > $o ) > $o ) > $o] :
( ~ ~ ( ~ ! [SX2: ( $i > $o ) > $o] :
( ~ ( SY12 @ SX2 )
| ( SY12 @ ( cS @ SX2 ) ) )
| ~ ( SY12 @ c0 ) )
| ( SY12 @ sK1_SV1 ) ) )
= $false )
| ( ( sK2_SY10 @ sK1_SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[26]) ).
thf(30,plain,
! [SV2: ( ( $i > $o ) > $o ) > $o] :
( ( ( ~ ! [SY14: ( $i > $o ) > $o] :
( ~ ( SV2 @ SY14 )
| ( SV2 @ ( cS @ SY14 ) ) ) )
= $true )
| ( ( ~ ( SV2 @ c0 ) )
= $true )
| ( ( SV2 @ sK1_SV1 )
= $true )
| ( ( ! [SY12: ( ( $i > $o ) > $o ) > $o] :
( ~ ~ ( ~ ! [SX2: ( $i > $o ) > $o] :
( ~ ( SY12 @ SX2 )
| ( SY12 @ ( cS @ SX2 ) ) )
| ~ ( SY12 @ c0 ) )
| ( SY12 @ sK1_SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[27]) ).
thf(31,plain,
( ( ( ~ ! [SY15: ( $i > $o ) > $o] :
( ~ ( sK2_SY10 @ SY15 )
| ( sK2_SY10 @ ( cS @ SY15 ) ) )
| ~ ( sK2_SY10 @ c0 ) )
= $false )
| ( ( ~ ! [SY12: ( ( $i > $o ) > $o ) > $o] :
( ~ ~ ( ~ ! [SX2: ( $i > $o ) > $o] :
( ~ ( SY12 @ SX2 )
| ( SY12 @ ( cS @ SX2 ) ) )
| ~ ( SY12 @ c0 ) )
| ( SY12 @ sK1_SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[28]) ).
thf(32,plain,
( ( ( ~ ~ ( ~ ! [SY16: ( $i > $o ) > $o] :
( ~ ( sK3_SY12 @ SY16 )
| ( sK3_SY12 @ ( cS @ SY16 ) ) )
| ~ ( sK3_SY12 @ c0 ) )
| ( sK3_SY12 @ sK1_SV1 ) )
= $false )
| ( ( sK2_SY10 @ sK1_SV1 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[29]) ).
thf(33,plain,
! [SV2: ( ( $i > $o ) > $o ) > $o] :
( ( ( ! [SY14: ( $i > $o ) > $o] :
( ~ ( SV2 @ SY14 )
| ( SV2 @ ( cS @ SY14 ) ) ) )
= $false )
| ( ( ~ ( SV2 @ c0 ) )
= $true )
| ( ( SV2 @ sK1_SV1 )
= $true )
| ( ( ! [SY12: ( ( $i > $o ) > $o ) > $o] :
( ~ ~ ( ~ ! [SX2: ( $i > $o ) > $o] :
( ~ ( SY12 @ SX2 )
| ( SY12 @ ( cS @ SX2 ) ) )
| ~ ( SY12 @ c0 ) )
| ( SY12 @ sK1_SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[30]) ).
thf(34,plain,
( ( ( ~ ! [SY15: ( $i > $o ) > $o] :
( ~ ( sK2_SY10 @ SY15 )
| ( sK2_SY10 @ ( cS @ SY15 ) ) ) )
= $false )
| ( ( ~ ! [SY12: ( ( $i > $o ) > $o ) > $o] :
( ~ ~ ( ~ ! [SX2: ( $i > $o ) > $o] :
( ~ ( SY12 @ SX2 )
| ( SY12 @ ( cS @ SX2 ) ) )
| ~ ( SY12 @ c0 ) )
| ( SY12 @ sK1_SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[31]) ).
thf(35,plain,
( ( ( ~ ( sK2_SY10 @ c0 ) )
= $false )
| ( ( ~ ! [SY12: ( ( $i > $o ) > $o ) > $o] :
( ~ ~ ( ~ ! [SX2: ( $i > $o ) > $o] :
( ~ ( SY12 @ SX2 )
| ( SY12 @ ( cS @ SX2 ) ) )
| ~ ( SY12 @ c0 ) )
| ( SY12 @ sK1_SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[31]) ).
thf(36,plain,
( ( ( ~ ~ ( ~ ! [SY16: ( $i > $o ) > $o] :
( ~ ( sK3_SY12 @ SY16 )
| ( sK3_SY12 @ ( cS @ SY16 ) ) )
| ~ ( sK3_SY12 @ c0 ) ) )
= $false )
| ( ( sK2_SY10 @ sK1_SV1 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[32]) ).
thf(37,plain,
( ( ( sK3_SY12 @ sK1_SV1 )
= $false )
| ( ( sK2_SY10 @ sK1_SV1 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[32]) ).
thf(38,plain,
! [SV2: ( ( $i > $o ) > $o ) > $o] :
( ( ( ~ ( SV2 @ ( sK4_SY14 @ SV2 ) )
| ( SV2 @ ( cS @ ( sK4_SY14 @ SV2 ) ) ) )
= $false )
| ( ( ~ ( SV2 @ c0 ) )
= $true )
| ( ( SV2 @ sK1_SV1 )
= $true )
| ( ( ! [SY12: ( ( $i > $o ) > $o ) > $o] :
( ~ ~ ( ~ ! [SX2: ( $i > $o ) > $o] :
( ~ ( SY12 @ SX2 )
| ( SY12 @ ( cS @ SX2 ) ) )
| ~ ( SY12 @ c0 ) )
| ( SY12 @ sK1_SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[33]) ).
thf(39,plain,
( ( ( ! [SY15: ( $i > $o ) > $o] :
( ~ ( sK2_SY10 @ SY15 )
| ( sK2_SY10 @ ( cS @ SY15 ) ) ) )
= $true )
| ( ( ~ ! [SY12: ( ( $i > $o ) > $o ) > $o] :
( ~ ~ ( ~ ! [SX2: ( $i > $o ) > $o] :
( ~ ( SY12 @ SX2 )
| ( SY12 @ ( cS @ SX2 ) ) )
| ~ ( SY12 @ c0 ) )
| ( SY12 @ sK1_SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[34]) ).
thf(40,plain,
( ( ( sK2_SY10 @ c0 )
= $true )
| ( ( ~ ! [SY12: ( ( $i > $o ) > $o ) > $o] :
( ~ ~ ( ~ ! [SX2: ( $i > $o ) > $o] :
( ~ ( SY12 @ SX2 )
| ( SY12 @ ( cS @ SX2 ) ) )
| ~ ( SY12 @ c0 ) )
| ( SY12 @ sK1_SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[35]) ).
thf(41,plain,
( ( ( ~ ( ~ ! [SY16: ( $i > $o ) > $o] :
( ~ ( sK3_SY12 @ SY16 )
| ( sK3_SY12 @ ( cS @ SY16 ) ) )
| ~ ( sK3_SY12 @ c0 ) ) )
= $true )
| ( ( sK2_SY10 @ sK1_SV1 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[36]) ).
thf(42,plain,
! [SV2: ( ( $i > $o ) > $o ) > $o] :
( ( ( ~ ( SV2 @ ( sK4_SY14 @ SV2 ) ) )
= $false )
| ( ( ~ ( SV2 @ c0 ) )
= $true )
| ( ( SV2 @ sK1_SV1 )
= $true )
| ( ( ! [SY12: ( ( $i > $o ) > $o ) > $o] :
( ~ ~ ( ~ ! [SX2: ( $i > $o ) > $o] :
( ~ ( SY12 @ SX2 )
| ( SY12 @ ( cS @ SX2 ) ) )
| ~ ( SY12 @ c0 ) )
| ( SY12 @ sK1_SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[38]) ).
thf(43,plain,
! [SV2: ( ( $i > $o ) > $o ) > $o] :
( ( ( SV2 @ ( cS @ ( sK4_SY14 @ SV2 ) ) )
= $false )
| ( ( ~ ( SV2 @ c0 ) )
= $true )
| ( ( SV2 @ sK1_SV1 )
= $true )
| ( ( ! [SY12: ( ( $i > $o ) > $o ) > $o] :
( ~ ~ ( ~ ! [SX2: ( $i > $o ) > $o] :
( ~ ( SY12 @ SX2 )
| ( SY12 @ ( cS @ SX2 ) ) )
| ~ ( SY12 @ c0 ) )
| ( SY12 @ sK1_SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[38]) ).
thf(44,plain,
! [SV3: ( $i > $o ) > $o] :
( ( ( ~ ( sK2_SY10 @ SV3 )
| ( sK2_SY10 @ ( cS @ SV3 ) ) )
= $true )
| ( ( ~ ! [SY12: ( ( $i > $o ) > $o ) > $o] :
( ~ ~ ( ~ ! [SX2: ( $i > $o ) > $o] :
( ~ ( SY12 @ SX2 )
| ( SY12 @ ( cS @ SX2 ) ) )
| ~ ( SY12 @ c0 ) )
| ( SY12 @ sK1_SV1 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[39]) ).
thf(45,plain,
( ( ( ! [SY12: ( ( $i > $o ) > $o ) > $o] :
( ~ ~ ( ~ ! [SX2: ( $i > $o ) > $o] :
( ~ ( SY12 @ SX2 )
| ( SY12 @ ( cS @ SX2 ) ) )
| ~ ( SY12 @ c0 ) )
| ( SY12 @ sK1_SV1 ) ) )
= $false )
| ( ( sK2_SY10 @ c0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[40]) ).
thf(46,plain,
( ( ( ~ ! [SY16: ( $i > $o ) > $o] :
( ~ ( sK3_SY12 @ SY16 )
| ( sK3_SY12 @ ( cS @ SY16 ) ) )
| ~ ( sK3_SY12 @ c0 ) )
= $false )
| ( ( sK2_SY10 @ sK1_SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[41]) ).
thf(47,plain,
! [SV2: ( ( $i > $o ) > $o ) > $o] :
( ( ( SV2 @ ( sK4_SY14 @ SV2 ) )
= $true )
| ( ( ~ ( SV2 @ c0 ) )
= $true )
| ( ( SV2 @ sK1_SV1 )
= $true )
| ( ( ! [SY12: ( ( $i > $o ) > $o ) > $o] :
( ~ ~ ( ~ ! [SX2: ( $i > $o ) > $o] :
( ~ ( SY12 @ SX2 )
| ( SY12 @ ( cS @ SX2 ) ) )
| ~ ( SY12 @ c0 ) )
| ( SY12 @ sK1_SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[42]) ).
thf(48,plain,
! [SV2: ( ( $i > $o ) > $o ) > $o] :
( ( ( SV2 @ c0 )
= $false )
| ( ( SV2 @ ( cS @ ( sK4_SY14 @ SV2 ) ) )
= $false )
| ( ( SV2 @ sK1_SV1 )
= $true )
| ( ( ! [SY12: ( ( $i > $o ) > $o ) > $o] :
( ~ ~ ( ~ ! [SX2: ( $i > $o ) > $o] :
( ~ ( SY12 @ SX2 )
| ( SY12 @ ( cS @ SX2 ) ) )
| ~ ( SY12 @ c0 ) )
| ( SY12 @ sK1_SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[43]) ).
thf(49,plain,
! [SV3: ( $i > $o ) > $o] :
( ( ( ~ ( sK2_SY10 @ SV3 ) )
= $true )
| ( ( sK2_SY10 @ ( cS @ SV3 ) )
= $true )
| ( ( ~ ! [SY12: ( ( $i > $o ) > $o ) > $o] :
( ~ ~ ( ~ ! [SX2: ( $i > $o ) > $o] :
( ~ ( SY12 @ SX2 )
| ( SY12 @ ( cS @ SX2 ) ) )
| ~ ( SY12 @ c0 ) )
| ( SY12 @ sK1_SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[44]) ).
thf(50,plain,
( ( ( ~ ~ ( ~ ! [SY17: ( $i > $o ) > $o] :
( ~ ( sK5_SY12 @ SY17 )
| ( sK5_SY12 @ ( cS @ SY17 ) ) )
| ~ ( sK5_SY12 @ c0 ) )
| ( sK5_SY12 @ sK1_SV1 ) )
= $false )
| ( ( sK2_SY10 @ c0 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[45]) ).
thf(51,plain,
( ( ( ~ ! [SY16: ( $i > $o ) > $o] :
( ~ ( sK3_SY12 @ SY16 )
| ( sK3_SY12 @ ( cS @ SY16 ) ) ) )
= $false )
| ( ( sK2_SY10 @ sK1_SV1 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[46]) ).
thf(52,plain,
( ( ( ~ ( sK3_SY12 @ c0 ) )
= $false )
| ( ( sK2_SY10 @ sK1_SV1 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[46]) ).
thf(53,plain,
! [SV2: ( ( $i > $o ) > $o ) > $o] :
( ( ( SV2 @ c0 )
= $false )
| ( ( SV2 @ ( sK4_SY14 @ SV2 ) )
= $true )
| ( ( SV2 @ sK1_SV1 )
= $true )
| ( ( ! [SY12: ( ( $i > $o ) > $o ) > $o] :
( ~ ~ ( ~ ! [SX2: ( $i > $o ) > $o] :
( ~ ( SY12 @ SX2 )
| ( SY12 @ ( cS @ SX2 ) ) )
| ~ ( SY12 @ c0 ) )
| ( SY12 @ sK1_SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[47]) ).
thf(54,plain,
! [SV2: ( ( $i > $o ) > $o ) > $o,SV4: ( ( $i > $o ) > $o ) > $o] :
( ( ( ~ ~ ( ~ ! [SY18: ( $i > $o ) > $o] :
( ~ ( SV4 @ SY18 )
| ( SV4 @ ( cS @ SY18 ) ) )
| ~ ( SV4 @ c0 ) )
| ( SV4 @ sK1_SV1 ) )
= $true )
| ( ( SV2 @ sK1_SV1 )
= $true )
| ( ( SV2 @ ( cS @ ( sK4_SY14 @ SV2 ) ) )
= $false )
| ( ( SV2 @ c0 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[48]) ).
thf(55,plain,
! [SV3: ( $i > $o ) > $o] :
( ( ( sK2_SY10 @ SV3 )
= $false )
| ( ( sK2_SY10 @ ( cS @ SV3 ) )
= $true )
| ( ( ~ ! [SY12: ( ( $i > $o ) > $o ) > $o] :
( ~ ~ ( ~ ! [SX2: ( $i > $o ) > $o] :
( ~ ( SY12 @ SX2 )
| ( SY12 @ ( cS @ SX2 ) ) )
| ~ ( SY12 @ c0 ) )
| ( SY12 @ sK1_SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[49]) ).
thf(56,plain,
( ( ( ~ ~ ( ~ ! [SY17: ( $i > $o ) > $o] :
( ~ ( sK5_SY12 @ SY17 )
| ( sK5_SY12 @ ( cS @ SY17 ) ) )
| ~ ( sK5_SY12 @ c0 ) ) )
= $false )
| ( ( sK2_SY10 @ c0 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[50]) ).
thf(57,plain,
( ( ( sK5_SY12 @ sK1_SV1 )
= $false )
| ( ( sK2_SY10 @ c0 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[50]) ).
thf(58,plain,
( ( ( ! [SY16: ( $i > $o ) > $o] :
( ~ ( sK3_SY12 @ SY16 )
| ( sK3_SY12 @ ( cS @ SY16 ) ) ) )
= $true )
| ( ( sK2_SY10 @ sK1_SV1 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[51]) ).
thf(59,plain,
( ( ( sK3_SY12 @ c0 )
= $true )
| ( ( sK2_SY10 @ sK1_SV1 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[52]) ).
thf(60,plain,
! [SV2: ( ( $i > $o ) > $o ) > $o,SV5: ( ( $i > $o ) > $o ) > $o] :
( ( ( ~ ~ ( ~ ! [SY19: ( $i > $o ) > $o] :
( ~ ( SV5 @ SY19 )
| ( SV5 @ ( cS @ SY19 ) ) )
| ~ ( SV5 @ c0 ) )
| ( SV5 @ sK1_SV1 ) )
= $true )
| ( ( SV2 @ sK1_SV1 )
= $true )
| ( ( SV2 @ ( sK4_SY14 @ SV2 ) )
= $true )
| ( ( SV2 @ c0 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[53]) ).
thf(61,plain,
! [SV2: ( ( $i > $o ) > $o ) > $o,SV4: ( ( $i > $o ) > $o ) > $o] :
( ( ( ~ ~ ( ~ ! [SY18: ( $i > $o ) > $o] :
( ~ ( SV4 @ SY18 )
| ( SV4 @ ( cS @ SY18 ) ) )
| ~ ( SV4 @ c0 ) ) )
= $true )
| ( ( SV4 @ sK1_SV1 )
= $true )
| ( ( SV2 @ sK1_SV1 )
= $true )
| ( ( SV2 @ ( cS @ ( sK4_SY14 @ SV2 ) ) )
= $false )
| ( ( SV2 @ c0 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[54]) ).
thf(62,plain,
! [SV3: ( $i > $o ) > $o] :
( ( ( ! [SY12: ( ( $i > $o ) > $o ) > $o] :
( ~ ~ ( ~ ! [SX2: ( $i > $o ) > $o] :
( ~ ( SY12 @ SX2 )
| ( SY12 @ ( cS @ SX2 ) ) )
| ~ ( SY12 @ c0 ) )
| ( SY12 @ sK1_SV1 ) ) )
= $false )
| ( ( sK2_SY10 @ ( cS @ SV3 ) )
= $true )
| ( ( sK2_SY10 @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[55]) ).
thf(63,plain,
( ( ( ~ ( ~ ! [SY17: ( $i > $o ) > $o] :
( ~ ( sK5_SY12 @ SY17 )
| ( sK5_SY12 @ ( cS @ SY17 ) ) )
| ~ ( sK5_SY12 @ c0 ) ) )
= $true )
| ( ( sK2_SY10 @ c0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[56]) ).
thf(64,plain,
! [SV6: ( $i > $o ) > $o] :
( ( ( ~ ( sK3_SY12 @ SV6 )
| ( sK3_SY12 @ ( cS @ SV6 ) ) )
= $true )
| ( ( sK2_SY10 @ sK1_SV1 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[58]) ).
thf(65,plain,
! [SV2: ( ( $i > $o ) > $o ) > $o,SV5: ( ( $i > $o ) > $o ) > $o] :
( ( ( ~ ~ ( ~ ! [SY19: ( $i > $o ) > $o] :
( ~ ( SV5 @ SY19 )
| ( SV5 @ ( cS @ SY19 ) ) )
| ~ ( SV5 @ c0 ) ) )
= $true )
| ( ( SV5 @ sK1_SV1 )
= $true )
| ( ( SV2 @ sK1_SV1 )
= $true )
| ( ( SV2 @ ( sK4_SY14 @ SV2 ) )
= $true )
| ( ( SV2 @ c0 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[60]) ).
thf(66,plain,
! [SV2: ( ( $i > $o ) > $o ) > $o,SV4: ( ( $i > $o ) > $o ) > $o] :
( ( ( ~ ( ~ ! [SY18: ( $i > $o ) > $o] :
( ~ ( SV4 @ SY18 )
| ( SV4 @ ( cS @ SY18 ) ) )
| ~ ( SV4 @ c0 ) ) )
= $false )
| ( ( SV4 @ sK1_SV1 )
= $true )
| ( ( SV2 @ sK1_SV1 )
= $true )
| ( ( SV2 @ ( cS @ ( sK4_SY14 @ SV2 ) ) )
= $false )
| ( ( SV2 @ c0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[61]) ).
thf(67,plain,
! [SV3: ( $i > $o ) > $o] :
( ( ( ~ ~ ( ~ ! [SY20: ( $i > $o ) > $o] :
( ~ ( sK6_SY12 @ SV3 @ SY20 )
| ( sK6_SY12 @ SV3 @ ( cS @ SY20 ) ) )
| ~ ( sK6_SY12 @ SV3 @ c0 ) )
| ( sK6_SY12 @ SV3 @ sK1_SV1 ) )
= $false )
| ( ( sK2_SY10 @ ( cS @ SV3 ) )
= $true )
| ( ( sK2_SY10 @ SV3 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[62]) ).
thf(68,plain,
( ( ( ~ ! [SY17: ( $i > $o ) > $o] :
( ~ ( sK5_SY12 @ SY17 )
| ( sK5_SY12 @ ( cS @ SY17 ) ) )
| ~ ( sK5_SY12 @ c0 ) )
= $false )
| ( ( sK2_SY10 @ c0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[63]) ).
thf(69,plain,
! [SV6: ( $i > $o ) > $o] :
( ( ( ~ ( sK3_SY12 @ SV6 ) )
= $true )
| ( ( sK3_SY12 @ ( cS @ SV6 ) )
= $true )
| ( ( sK2_SY10 @ sK1_SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[64]) ).
thf(70,plain,
! [SV2: ( ( $i > $o ) > $o ) > $o,SV5: ( ( $i > $o ) > $o ) > $o] :
( ( ( ~ ( ~ ! [SY19: ( $i > $o ) > $o] :
( ~ ( SV5 @ SY19 )
| ( SV5 @ ( cS @ SY19 ) ) )
| ~ ( SV5 @ c0 ) ) )
= $false )
| ( ( SV5 @ sK1_SV1 )
= $true )
| ( ( SV2 @ sK1_SV1 )
= $true )
| ( ( SV2 @ ( sK4_SY14 @ SV2 ) )
= $true )
| ( ( SV2 @ c0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[65]) ).
thf(71,plain,
! [SV2: ( ( $i > $o ) > $o ) > $o,SV4: ( ( $i > $o ) > $o ) > $o] :
( ( ( ~ ! [SY18: ( $i > $o ) > $o] :
( ~ ( SV4 @ SY18 )
| ( SV4 @ ( cS @ SY18 ) ) )
| ~ ( SV4 @ c0 ) )
= $true )
| ( ( SV4 @ sK1_SV1 )
= $true )
| ( ( SV2 @ sK1_SV1 )
= $true )
| ( ( SV2 @ ( cS @ ( sK4_SY14 @ SV2 ) ) )
= $false )
| ( ( SV2 @ c0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[66]) ).
thf(72,plain,
! [SV3: ( $i > $o ) > $o] :
( ( ( ~ ~ ( ~ ! [SY20: ( $i > $o ) > $o] :
( ~ ( sK6_SY12 @ SV3 @ SY20 )
| ( sK6_SY12 @ SV3 @ ( cS @ SY20 ) ) )
| ~ ( sK6_SY12 @ SV3 @ c0 ) ) )
= $false )
| ( ( sK2_SY10 @ ( cS @ SV3 ) )
= $true )
| ( ( sK2_SY10 @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[67]) ).
thf(73,plain,
! [SV3: ( $i > $o ) > $o] :
( ( ( sK6_SY12 @ SV3 @ sK1_SV1 )
= $false )
| ( ( sK2_SY10 @ ( cS @ SV3 ) )
= $true )
| ( ( sK2_SY10 @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[67]) ).
thf(74,plain,
( ( ( ~ ! [SY17: ( $i > $o ) > $o] :
( ~ ( sK5_SY12 @ SY17 )
| ( sK5_SY12 @ ( cS @ SY17 ) ) ) )
= $false )
| ( ( sK2_SY10 @ c0 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[68]) ).
thf(75,plain,
( ( ( ~ ( sK5_SY12 @ c0 ) )
= $false )
| ( ( sK2_SY10 @ c0 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[68]) ).
thf(76,plain,
! [SV6: ( $i > $o ) > $o] :
( ( ( sK3_SY12 @ SV6 )
= $false )
| ( ( sK3_SY12 @ ( cS @ SV6 ) )
= $true )
| ( ( sK2_SY10 @ sK1_SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[69]) ).
thf(77,plain,
! [SV2: ( ( $i > $o ) > $o ) > $o,SV5: ( ( $i > $o ) > $o ) > $o] :
( ( ( ~ ! [SY19: ( $i > $o ) > $o] :
( ~ ( SV5 @ SY19 )
| ( SV5 @ ( cS @ SY19 ) ) )
| ~ ( SV5 @ c0 ) )
= $true )
| ( ( SV5 @ sK1_SV1 )
= $true )
| ( ( SV2 @ sK1_SV1 )
= $true )
| ( ( SV2 @ ( sK4_SY14 @ SV2 ) )
= $true )
| ( ( SV2 @ c0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[70]) ).
thf(78,plain,
! [SV2: ( ( $i > $o ) > $o ) > $o,SV4: ( ( $i > $o ) > $o ) > $o] :
( ( ( ~ ! [SY18: ( $i > $o ) > $o] :
( ~ ( SV4 @ SY18 )
| ( SV4 @ ( cS @ SY18 ) ) ) )
= $true )
| ( ( ~ ( SV4 @ c0 ) )
= $true )
| ( ( SV4 @ sK1_SV1 )
= $true )
| ( ( SV2 @ sK1_SV1 )
= $true )
| ( ( SV2 @ ( cS @ ( sK4_SY14 @ SV2 ) ) )
= $false )
| ( ( SV2 @ c0 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[71]) ).
thf(79,plain,
! [SV3: ( $i > $o ) > $o] :
( ( ( ~ ( ~ ! [SY20: ( $i > $o ) > $o] :
( ~ ( sK6_SY12 @ SV3 @ SY20 )
| ( sK6_SY12 @ SV3 @ ( cS @ SY20 ) ) )
| ~ ( sK6_SY12 @ SV3 @ c0 ) ) )
= $true )
| ( ( sK2_SY10 @ ( cS @ SV3 ) )
= $true )
| ( ( sK2_SY10 @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[72]) ).
thf(80,plain,
( ( ( ! [SY17: ( $i > $o ) > $o] :
( ~ ( sK5_SY12 @ SY17 )
| ( sK5_SY12 @ ( cS @ SY17 ) ) ) )
= $true )
| ( ( sK2_SY10 @ c0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[74]) ).
thf(81,plain,
( ( ( sK5_SY12 @ c0 )
= $true )
| ( ( sK2_SY10 @ c0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[75]) ).
thf(82,plain,
! [SV2: ( ( $i > $o ) > $o ) > $o,SV5: ( ( $i > $o ) > $o ) > $o] :
( ( ( ~ ! [SY19: ( $i > $o ) > $o] :
( ~ ( SV5 @ SY19 )
| ( SV5 @ ( cS @ SY19 ) ) ) )
= $true )
| ( ( ~ ( SV5 @ c0 ) )
= $true )
| ( ( SV5 @ sK1_SV1 )
= $true )
| ( ( SV2 @ sK1_SV1 )
= $true )
| ( ( SV2 @ ( sK4_SY14 @ SV2 ) )
= $true )
| ( ( SV2 @ c0 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[77]) ).
thf(83,plain,
! [SV2: ( ( $i > $o ) > $o ) > $o,SV4: ( ( $i > $o ) > $o ) > $o] :
( ( ( ! [SY18: ( $i > $o ) > $o] :
( ~ ( SV4 @ SY18 )
| ( SV4 @ ( cS @ SY18 ) ) ) )
= $false )
| ( ( ~ ( SV4 @ c0 ) )
= $true )
| ( ( SV4 @ sK1_SV1 )
= $true )
| ( ( SV2 @ sK1_SV1 )
= $true )
| ( ( SV2 @ ( cS @ ( sK4_SY14 @ SV2 ) ) )
= $false )
| ( ( SV2 @ c0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[78]) ).
thf(84,plain,
! [SV3: ( $i > $o ) > $o] :
( ( ( ~ ! [SY20: ( $i > $o ) > $o] :
( ~ ( sK6_SY12 @ SV3 @ SY20 )
| ( sK6_SY12 @ SV3 @ ( cS @ SY20 ) ) )
| ~ ( sK6_SY12 @ SV3 @ c0 ) )
= $false )
| ( ( sK2_SY10 @ ( cS @ SV3 ) )
= $true )
| ( ( sK2_SY10 @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[79]) ).
thf(85,plain,
! [SV7: ( $i > $o ) > $o] :
( ( ( ~ ( sK5_SY12 @ SV7 )
| ( sK5_SY12 @ ( cS @ SV7 ) ) )
= $true )
| ( ( sK2_SY10 @ c0 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[80]) ).
thf(86,plain,
! [SV2: ( ( $i > $o ) > $o ) > $o,SV5: ( ( $i > $o ) > $o ) > $o] :
( ( ( ! [SY19: ( $i > $o ) > $o] :
( ~ ( SV5 @ SY19 )
| ( SV5 @ ( cS @ SY19 ) ) ) )
= $false )
| ( ( ~ ( SV5 @ c0 ) )
= $true )
| ( ( SV5 @ sK1_SV1 )
= $true )
| ( ( SV2 @ sK1_SV1 )
= $true )
| ( ( SV2 @ ( sK4_SY14 @ SV2 ) )
= $true )
| ( ( SV2 @ c0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[82]) ).
thf(87,plain,
! [SV2: ( ( $i > $o ) > $o ) > $o,SV4: ( ( $i > $o ) > $o ) > $o] :
( ( ( ~ ( SV4 @ ( sK7_SY18 @ SV2 @ SV4 ) )
| ( SV4 @ ( cS @ ( sK7_SY18 @ SV2 @ SV4 ) ) ) )
= $false )
| ( ( ~ ( SV4 @ c0 ) )
= $true )
| ( ( SV4 @ sK1_SV1 )
= $true )
| ( ( SV2 @ sK1_SV1 )
= $true )
| ( ( SV2 @ ( cS @ ( sK4_SY14 @ SV2 ) ) )
= $false )
| ( ( SV2 @ c0 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[83]) ).
thf(88,plain,
! [SV3: ( $i > $o ) > $o] :
( ( ( ~ ! [SY20: ( $i > $o ) > $o] :
( ~ ( sK6_SY12 @ SV3 @ SY20 )
| ( sK6_SY12 @ SV3 @ ( cS @ SY20 ) ) ) )
= $false )
| ( ( sK2_SY10 @ ( cS @ SV3 ) )
= $true )
| ( ( sK2_SY10 @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[84]) ).
thf(89,plain,
! [SV3: ( $i > $o ) > $o] :
( ( ( ~ ( sK6_SY12 @ SV3 @ c0 ) )
= $false )
| ( ( sK2_SY10 @ ( cS @ SV3 ) )
= $true )
| ( ( sK2_SY10 @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[84]) ).
thf(90,plain,
! [SV7: ( $i > $o ) > $o] :
( ( ( ~ ( sK5_SY12 @ SV7 ) )
= $true )
| ( ( sK5_SY12 @ ( cS @ SV7 ) )
= $true )
| ( ( sK2_SY10 @ c0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[85]) ).
thf(91,plain,
! [SV2: ( ( $i > $o ) > $o ) > $o,SV5: ( ( $i > $o ) > $o ) > $o] :
( ( ( ~ ( SV5 @ ( sK8_SY19 @ SV2 @ SV5 ) )
| ( SV5 @ ( cS @ ( sK8_SY19 @ SV2 @ SV5 ) ) ) )
= $false )
| ( ( ~ ( SV5 @ c0 ) )
= $true )
| ( ( SV5 @ sK1_SV1 )
= $true )
| ( ( SV2 @ sK1_SV1 )
= $true )
| ( ( SV2 @ ( sK4_SY14 @ SV2 ) )
= $true )
| ( ( SV2 @ c0 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[86]) ).
thf(92,plain,
! [SV2: ( ( $i > $o ) > $o ) > $o,SV4: ( ( $i > $o ) > $o ) > $o] :
( ( ( ~ ( SV4 @ ( sK7_SY18 @ SV2 @ SV4 ) ) )
= $false )
| ( ( ~ ( SV4 @ c0 ) )
= $true )
| ( ( SV4 @ sK1_SV1 )
= $true )
| ( ( SV2 @ sK1_SV1 )
= $true )
| ( ( SV2 @ ( cS @ ( sK4_SY14 @ SV2 ) ) )
= $false )
| ( ( SV2 @ c0 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[87]) ).
thf(93,plain,
! [SV2: ( ( $i > $o ) > $o ) > $o,SV4: ( ( $i > $o ) > $o ) > $o] :
( ( ( SV4 @ ( cS @ ( sK7_SY18 @ SV2 @ SV4 ) ) )
= $false )
| ( ( ~ ( SV4 @ c0 ) )
= $true )
| ( ( SV4 @ sK1_SV1 )
= $true )
| ( ( SV2 @ sK1_SV1 )
= $true )
| ( ( SV2 @ ( cS @ ( sK4_SY14 @ SV2 ) ) )
= $false )
| ( ( SV2 @ c0 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[87]) ).
thf(94,plain,
! [SV3: ( $i > $o ) > $o] :
( ( ( ! [SY20: ( $i > $o ) > $o] :
( ~ ( sK6_SY12 @ SV3 @ SY20 )
| ( sK6_SY12 @ SV3 @ ( cS @ SY20 ) ) ) )
= $true )
| ( ( sK2_SY10 @ ( cS @ SV3 ) )
= $true )
| ( ( sK2_SY10 @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[88]) ).
thf(95,plain,
! [SV3: ( $i > $o ) > $o] :
( ( ( sK6_SY12 @ SV3 @ c0 )
= $true )
| ( ( sK2_SY10 @ ( cS @ SV3 ) )
= $true )
| ( ( sK2_SY10 @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[89]) ).
thf(96,plain,
! [SV7: ( $i > $o ) > $o] :
( ( ( sK5_SY12 @ SV7 )
= $false )
| ( ( sK5_SY12 @ ( cS @ SV7 ) )
= $true )
| ( ( sK2_SY10 @ c0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[90]) ).
thf(97,plain,
! [SV2: ( ( $i > $o ) > $o ) > $o,SV5: ( ( $i > $o ) > $o ) > $o] :
( ( ( ~ ( SV5 @ ( sK8_SY19 @ SV2 @ SV5 ) ) )
= $false )
| ( ( ~ ( SV5 @ c0 ) )
= $true )
| ( ( SV5 @ sK1_SV1 )
= $true )
| ( ( SV2 @ sK1_SV1 )
= $true )
| ( ( SV2 @ ( sK4_SY14 @ SV2 ) )
= $true )
| ( ( SV2 @ c0 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[91]) ).
thf(98,plain,
! [SV2: ( ( $i > $o ) > $o ) > $o,SV5: ( ( $i > $o ) > $o ) > $o] :
( ( ( SV5 @ ( cS @ ( sK8_SY19 @ SV2 @ SV5 ) ) )
= $false )
| ( ( ~ ( SV5 @ c0 ) )
= $true )
| ( ( SV5 @ sK1_SV1 )
= $true )
| ( ( SV2 @ sK1_SV1 )
= $true )
| ( ( SV2 @ ( sK4_SY14 @ SV2 ) )
= $true )
| ( ( SV2 @ c0 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[91]) ).
thf(99,plain,
! [SV2: ( ( $i > $o ) > $o ) > $o,SV4: ( ( $i > $o ) > $o ) > $o] :
( ( ( SV4 @ ( sK7_SY18 @ SV2 @ SV4 ) )
= $true )
| ( ( ~ ( SV4 @ c0 ) )
= $true )
| ( ( SV4 @ sK1_SV1 )
= $true )
| ( ( SV2 @ sK1_SV1 )
= $true )
| ( ( SV2 @ ( cS @ ( sK4_SY14 @ SV2 ) ) )
= $false )
| ( ( SV2 @ c0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[92]) ).
thf(100,plain,
! [SV2: ( ( $i > $o ) > $o ) > $o,SV4: ( ( $i > $o ) > $o ) > $o] :
( ( ( SV4 @ c0 )
= $false )
| ( ( SV4 @ ( cS @ ( sK7_SY18 @ SV2 @ SV4 ) ) )
= $false )
| ( ( SV4 @ sK1_SV1 )
= $true )
| ( ( SV2 @ sK1_SV1 )
= $true )
| ( ( SV2 @ ( cS @ ( sK4_SY14 @ SV2 ) ) )
= $false )
| ( ( SV2 @ c0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[93]) ).
thf(101,plain,
! [SV8: ( $i > $o ) > $o,SV3: ( $i > $o ) > $o] :
( ( ( ~ ( sK6_SY12 @ SV3 @ SV8 )
| ( sK6_SY12 @ SV3 @ ( cS @ SV8 ) ) )
= $true )
| ( ( sK2_SY10 @ ( cS @ SV3 ) )
= $true )
| ( ( sK2_SY10 @ SV3 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[94]) ).
thf(102,plain,
! [SV2: ( ( $i > $o ) > $o ) > $o,SV5: ( ( $i > $o ) > $o ) > $o] :
( ( ( SV5 @ ( sK8_SY19 @ SV2 @ SV5 ) )
= $true )
| ( ( ~ ( SV5 @ c0 ) )
= $true )
| ( ( SV5 @ sK1_SV1 )
= $true )
| ( ( SV2 @ sK1_SV1 )
= $true )
| ( ( SV2 @ ( sK4_SY14 @ SV2 ) )
= $true )
| ( ( SV2 @ c0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[97]) ).
thf(103,plain,
! [SV2: ( ( $i > $o ) > $o ) > $o,SV5: ( ( $i > $o ) > $o ) > $o] :
( ( ( SV5 @ c0 )
= $false )
| ( ( SV5 @ ( cS @ ( sK8_SY19 @ SV2 @ SV5 ) ) )
= $false )
| ( ( SV5 @ sK1_SV1 )
= $true )
| ( ( SV2 @ sK1_SV1 )
= $true )
| ( ( SV2 @ ( sK4_SY14 @ SV2 ) )
= $true )
| ( ( SV2 @ c0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[98]) ).
thf(104,plain,
! [SV2: ( ( $i > $o ) > $o ) > $o,SV4: ( ( $i > $o ) > $o ) > $o] :
( ( ( SV4 @ c0 )
= $false )
| ( ( SV4 @ ( sK7_SY18 @ SV2 @ SV4 ) )
= $true )
| ( ( SV4 @ sK1_SV1 )
= $true )
| ( ( SV2 @ sK1_SV1 )
= $true )
| ( ( SV2 @ ( cS @ ( sK4_SY14 @ SV2 ) ) )
= $false )
| ( ( SV2 @ c0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[99]) ).
thf(105,plain,
! [SV8: ( $i > $o ) > $o,SV3: ( $i > $o ) > $o] :
( ( ( ~ ( sK6_SY12 @ SV3 @ SV8 ) )
= $true )
| ( ( sK6_SY12 @ SV3 @ ( cS @ SV8 ) )
= $true )
| ( ( sK2_SY10 @ ( cS @ SV3 ) )
= $true )
| ( ( sK2_SY10 @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[101]) ).
thf(106,plain,
! [SV2: ( ( $i > $o ) > $o ) > $o,SV5: ( ( $i > $o ) > $o ) > $o] :
( ( ( SV5 @ c0 )
= $false )
| ( ( SV5 @ ( sK8_SY19 @ SV2 @ SV5 ) )
= $true )
| ( ( SV5 @ sK1_SV1 )
= $true )
| ( ( SV2 @ sK1_SV1 )
= $true )
| ( ( SV2 @ ( sK4_SY14 @ SV2 ) )
= $true )
| ( ( SV2 @ c0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[102]) ).
thf(107,plain,
! [SV8: ( $i > $o ) > $o,SV3: ( $i > $o ) > $o] :
( ( ( sK6_SY12 @ SV3 @ SV8 )
= $false )
| ( ( sK6_SY12 @ SV3 @ ( cS @ SV8 ) )
= $true )
| ( ( sK2_SY10 @ ( cS @ SV3 ) )
= $true )
| ( ( sK2_SY10 @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[105]) ).
thf(108,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[10,107,106,104,103,100,96,95,81,76,73,59,57,37,13]) ).
thf(109,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[108]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SEV232^5 : TPTP v8.1.0. Released v4.0.0.
% 0.00/0.10 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.10/0.29 % Computer : n032.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % WCLimit : 600
% 0.10/0.29 % DateTime : Tue Jun 28 14:41:27 EDT 2022
% 0.10/0.29 % CPUTime :
% 0.10/0.30
% 0.10/0.30 No.of.Axioms: 0
% 0.10/0.30
% 0.10/0.30 Length.of.Defs: 0
% 0.10/0.30
% 0.10/0.30 Contains.Choice.Funs: false
% 0.10/0.30 (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).......
% 0.14/0.35
% 0.14/0.35 ********************************
% 0.14/0.35 * All subproblems solved! *
% 0.14/0.35 ********************************
% 0.14/0.35 % 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:108,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.14/0.36
% 0.14/0.36 %**** Beginning of derivation protocol ****
% 0.14/0.36 % SZS output start CNFRefutation
% See solution above
% 0.14/0.36
% 0.14/0.36 %**** End of derivation protocol ****
% 0.14/0.36 %**** no. of clauses in derivation: 109 ****
% 0.14/0.36 %**** clause counter: 108 ****
% 0.14/0.36
% 0.14/0.36 % 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:108,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------