## TSTP Solution File: SEV070^5 by LEO-II---1.7.0

View Problem - Process Solution

```%------------------------------------------------------------------------------
% File     : LEO-II---1.7.0
% Problem  : SEV070^5 : TPTP v6.4.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s

% Computer : n123.star.cs.uiowa.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory   : 32218.75MB
% OS       : Linux 3.10.0-327.36.3.el7.x86_64
% CPULimit : 300s
% DateTime : Wed Jan 18 14:55:00 EST 2017

% Result   : Theorem 0.02s
% Output   : CNFRefutation 0.02s
% Verified :
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   64 (  34 unt;   7 typ;   0 def)
%            Number of atoms       :  232 (  95 equ;   0 cnn)
%            Maximal formula atoms :    3 (   3 avg)
%            Number of connectives :  610 ( 115   ~;  85   |;  36   &; 324   @)
%                                         (   0 <=>;  50  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   2 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   56 (  56   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   10 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :   96 (   0   ^  96   !;   0   ?;  96   :)

%------------------------------------------------------------------------------
thf(tp_cS,type,
cS: \$i > \$i ).

thf(tp_sK1_Xx,type,
sK1_Xx: \$i ).

thf(tp_sK2_SY9,type,
sK2_SY9: \$i ).

thf(tp_sK3_SY17,type,
sK3_SY17: \$i ).

thf(tp_sK4_SY28,type,
sK4_SY28: \$i > \$o ).

thf(tp_sK5_Xn,type,
sK5_Xn: ( \$i > \$o ) > \$i ).

thf(tp_sK6_Xn,type,
sK6_Xn: ( \$i > \$o ) > \$i ).

thf(1,conjecture,
! [Xx: \$i,Xy: \$i,Xz: \$i] :
( ( ! [Xp: \$i > \$o] :
( ( ( Xp @ Xx )
& ! [Xn: \$i] :
( ( Xp @ Xn )
=> ( Xp @ ( cS @ Xn ) ) ) )
=> ( Xp @ Xy ) )
& ! [Xp: \$i > \$o] :
( ( ( Xp @ Xy )
& ! [Xn: \$i] :
( ( Xp @ Xn )
=> ( Xp @ ( cS @ Xn ) ) ) )
=> ( Xp @ Xz ) ) )
=> ! [Xp: \$i > \$o] :
( ( ( Xp @ Xx )
& ! [Xn: \$i] :
( ( Xp @ Xn )
=> ( Xp @ ( cS @ Xn ) ) ) )
=> ( Xp @ Xz ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM577_pme) ).

thf(2,negated_conjecture,
( ( ! [Xx: \$i,Xy: \$i,Xz: \$i] :
( ( ! [Xp: \$i > \$o] :
( ( ( Xp @ Xx )
& ! [Xn: \$i] :
( ( Xp @ Xn )
=> ( Xp @ ( cS @ Xn ) ) ) )
=> ( Xp @ Xy ) )
& ! [Xp: \$i > \$o] :
( ( ( Xp @ Xy )
& ! [Xn: \$i] :
( ( Xp @ Xn )
=> ( Xp @ ( cS @ Xn ) ) ) )
=> ( Xp @ Xz ) ) )
=> ! [Xp: \$i > \$o] :
( ( ( Xp @ Xx )
& ! [Xn: \$i] :
( ( Xp @ Xn )
=> ( Xp @ ( cS @ Xn ) ) ) )
=> ( Xp @ Xz ) ) ) )
= \$false ),
inference(negate_conjecture,[status(cth)],[1]) ).

thf(3,plain,
( ( ! [Xx: \$i,Xy: \$i,Xz: \$i] :
( ( ! [Xp: \$i > \$o] :
( ( ( Xp @ Xx )
& ! [Xn: \$i] :
( ( Xp @ Xn )
=> ( Xp @ ( cS @ Xn ) ) ) )
=> ( Xp @ Xy ) )
& ! [Xp: \$i > \$o] :
( ( ( Xp @ Xy )
& ! [Xn: \$i] :
( ( Xp @ Xn )
=> ( Xp @ ( cS @ Xn ) ) ) )
=> ( Xp @ Xz ) ) )
=> ! [Xp: \$i > \$o] :
( ( ( Xp @ Xx )
& ! [Xn: \$i] :
( ( Xp @ Xn )
=> ( Xp @ ( cS @ Xn ) ) ) )
=> ( Xp @ Xz ) ) ) )
= \$false ),
inference(unfold_def,[status(thm)],[2]) ).

thf(4,plain,
( ( ! [SY9: \$i,SY10: \$i] :
( ( ! [SY11: \$i > \$o] :
( ( ( SY11 @ sK1_Xx )
& ! [Xn: \$i] :
( ( SY11 @ Xn )
=> ( SY11 @ ( cS @ Xn ) ) ) )
=> ( SY11 @ SY9 ) )
& ! [Xp: \$i > \$o] :
( ( ( Xp @ SY9 )
& ! [Xn: \$i] :
( ( Xp @ Xn )
=> ( Xp @ ( cS @ Xn ) ) ) )
=> ( Xp @ SY10 ) ) )
=> ! [SY15: \$i > \$o] :
( ( ( SY15 @ sK1_Xx )
& ! [Xn: \$i] :
( ( SY15 @ Xn )
=> ( SY15 @ ( cS @ Xn ) ) ) )
=> ( SY15 @ SY10 ) ) ) )
= \$false ),
inference(extcnf_forall_neg,[status(esa)],[3]) ).

thf(5,plain,
( ( ! [SY17: \$i] :
( ( ! [SY18: \$i > \$o] :
( ( ( SY18 @ sK1_Xx )
& ! [Xn: \$i] :
( ( SY18 @ Xn )
=> ( SY18 @ ( cS @ Xn ) ) ) )
=> ( SY18 @ sK2_SY9 ) )
& ! [SY20: \$i > \$o] :
( ( ( SY20 @ sK2_SY9 )
& ! [Xn: \$i] :
( ( SY20 @ Xn )
=> ( SY20 @ ( cS @ Xn ) ) ) )
=> ( SY20 @ SY17 ) ) )
=> ! [SY15: \$i > \$o] :
( ( ( SY15 @ sK1_Xx )
& ! [Xn: \$i] :
( ( SY15 @ Xn )
=> ( SY15 @ ( cS @ Xn ) ) ) )
=> ( SY15 @ SY17 ) ) ) )
= \$false ),
inference(extcnf_forall_neg,[status(esa)],[4]) ).

thf(6,plain,
( ( ( ! [SY18: \$i > \$o] :
( ( ( SY18 @ sK1_Xx )
& ! [Xn: \$i] :
( ( SY18 @ Xn )
=> ( SY18 @ ( cS @ Xn ) ) ) )
=> ( SY18 @ sK2_SY9 ) )
& ! [SY26: \$i > \$o] :
( ( ( SY26 @ sK2_SY9 )
& ! [Xn: \$i] :
( ( SY26 @ Xn )
=> ( SY26 @ ( cS @ Xn ) ) ) )
=> ( SY26 @ sK3_SY17 ) ) )
=> ! [SY28: \$i > \$o] :
( ( ( SY28 @ sK1_Xx )
& ! [Xn: \$i] :
( ( SY28 @ Xn )
=> ( SY28 @ ( cS @ Xn ) ) ) )
=> ( SY28 @ sK3_SY17 ) ) )
= \$false ),
inference(extcnf_forall_neg,[status(esa)],[5]) ).

thf(7,plain,
( ( ! [SY18: \$i > \$o] :
( ( ( SY18 @ sK1_Xx )
& ! [Xn: \$i] :
( ( SY18 @ Xn )
=> ( SY18 @ ( cS @ Xn ) ) ) )
=> ( SY18 @ sK2_SY9 ) ) )
= \$true ),
inference(standard_cnf,[status(thm)],[6]) ).

thf(8,plain,
( ( ! [SY26: \$i > \$o] :
( ( ( SY26 @ sK2_SY9 )
& ! [Xn: \$i] :
( ( SY26 @ Xn )
=> ( SY26 @ ( cS @ Xn ) ) ) )
=> ( SY26 @ sK3_SY17 ) ) )
= \$true ),
inference(standard_cnf,[status(thm)],[6]) ).

thf(9,plain,
( ( ! [SY28: \$i > \$o] :
( ( ( SY28 @ sK1_Xx )
& ! [Xn: \$i] :
( ( SY28 @ Xn )
=> ( SY28 @ ( cS @ Xn ) ) ) )
=> ( SY28 @ sK3_SY17 ) ) )
= \$false ),
inference(standard_cnf,[status(thm)],[6]) ).

thf(10,plain,
( ( ~ ! [SY28: \$i > \$o] :
( ( ( SY28 @ sK1_Xx )
& ! [Xn: \$i] :
( ( SY28 @ Xn )
=> ( SY28 @ ( cS @ Xn ) ) ) )
=> ( SY28 @ sK3_SY17 ) ) )
= \$true ),
inference(polarity_switch,[status(thm)],[9]) ).

thf(11,plain,
( ( ! [SY30: \$i] :
( ~ ( sK4_SY28 @ SY30 )
| ( sK4_SY28 @ ( cS @ SY30 ) ) )
& ( sK4_SY28 @ sK1_Xx )
& ~ ( sK4_SY28 @ sK3_SY17 ) )
= \$true ),
inference(extcnf_combined,[status(esa)],[10]) ).

thf(12,plain,
( ( ! [SY18: \$i > \$o] :
( ( ( SY18 @ ( sK5_Xn @ SY18 ) )
& ~ ( SY18 @ ( cS @ ( sK5_Xn @ SY18 ) ) ) )
| ~ ( SY18 @ sK1_Xx )
| ( SY18 @ sK2_SY9 ) ) )
= \$true ),
inference(extcnf_combined,[status(esa)],[7]) ).

thf(13,plain,
( ( ! [SY26: \$i > \$o] :
( ( ( SY26 @ ( sK6_Xn @ SY26 ) )
& ~ ( SY26 @ ( cS @ ( sK6_Xn @ SY26 ) ) ) )
| ~ ( SY26 @ sK2_SY9 )
| ( SY26 @ sK3_SY17 ) ) )
= \$true ),
inference(extcnf_combined,[status(esa)],[8]) ).

thf(14,plain,
( ( ! [SY26: \$i > \$o] :
( ( ( SY26 @ ( sK6_Xn @ SY26 ) )
& ~ ( SY26 @ ( cS @ ( sK6_Xn @ SY26 ) ) ) )
| ~ ( SY26 @ sK2_SY9 )
| ( SY26 @ sK3_SY17 ) ) )
= \$true ),
inference(copy,[status(thm)],[13]) ).

thf(15,plain,
( ( ! [SY18: \$i > \$o] :
( ( ( SY18 @ ( sK5_Xn @ SY18 ) )
& ~ ( SY18 @ ( cS @ ( sK5_Xn @ SY18 ) ) ) )
| ~ ( SY18 @ sK1_Xx )
| ( SY18 @ sK2_SY9 ) ) )
= \$true ),
inference(copy,[status(thm)],[12]) ).

thf(16,plain,
( ( ! [SY30: \$i] :
( ~ ( sK4_SY28 @ SY30 )
| ( sK4_SY28 @ ( cS @ SY30 ) ) )
& ( sK4_SY28 @ sK1_Xx )
& ~ ( sK4_SY28 @ sK3_SY17 ) )
= \$true ),
inference(copy,[status(thm)],[11]) ).

thf(17,plain,
( ( ! [SX0: \$i > \$o] :
( ~ ( ~ ( SX0 @ ( sK6_Xn @ SX0 ) )
| ~ ~ ( SX0 @ ( cS @ ( sK6_Xn @ SX0 ) ) ) )
| ~ ( SX0 @ sK2_SY9 )
| ( SX0 @ sK3_SY17 ) ) )
= \$true ),
inference(unfold_def,[status(thm)],[14]) ).

thf(18,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: \$i] :
( ~ ( sK4_SY28 @ SX0 )
| ( sK4_SY28 @ ( cS @ SX0 ) ) )
| ~ ( sK4_SY28 @ sK1_Xx ) )
| ~ ~ ( sK4_SY28 @ sK3_SY17 ) ) )
= \$true ),
inference(unfold_def,[status(thm)],[16]) ).

thf(19,plain,
( ( ! [SX0: \$i > \$o] :
( ~ ( ~ ( SX0 @ ( sK5_Xn @ SX0 ) )
| ~ ~ ( SX0 @ ( cS @ ( sK5_Xn @ SX0 ) ) ) )
| ~ ( SX0 @ sK1_Xx )
| ( SX0 @ sK2_SY9 ) ) )
= \$true ),
inference(unfold_def,[status(thm)],[15]) ).

thf(20,plain,
! [SV1: \$i > \$o] :
( ( ~ ( ~ ( SV1 @ ( sK6_Xn @ SV1 ) )
| ~ ~ ( SV1 @ ( cS @ ( sK6_Xn @ SV1 ) ) ) )
| ~ ( SV1 @ sK2_SY9 )
| ( SV1 @ sK3_SY17 ) )
= \$true ),
inference(extcnf_forall_pos,[status(thm)],[17]) ).

thf(21,plain,
( ( ~ ~ ( ~ ! [SX0: \$i] :
( ~ ( sK4_SY28 @ SX0 )
| ( sK4_SY28 @ ( cS @ SX0 ) ) )
| ~ ( sK4_SY28 @ sK1_Xx ) )
| ~ ~ ( sK4_SY28 @ sK3_SY17 ) )
= \$false ),
inference(extcnf_not_pos,[status(thm)],[18]) ).

thf(22,plain,
! [SV2: \$i > \$o] :
( ( ~ ( ~ ( SV2 @ ( sK5_Xn @ SV2 ) )
| ~ ~ ( SV2 @ ( cS @ ( sK5_Xn @ SV2 ) ) ) )
| ~ ( SV2 @ sK1_Xx )
| ( SV2 @ sK2_SY9 ) )
= \$true ),
inference(extcnf_forall_pos,[status(thm)],[19]) ).

thf(23,plain,
! [SV1: \$i > \$o] :
( ( ( ~ ( ~ ( SV1 @ ( sK6_Xn @ SV1 ) )
| ~ ~ ( SV1 @ ( cS @ ( sK6_Xn @ SV1 ) ) ) )
| ~ ( SV1 @ sK2_SY9 ) )
= \$true )
| ( ( SV1 @ sK3_SY17 )
= \$true ) ),
inference(extcnf_or_pos,[status(thm)],[20]) ).

thf(24,plain,
( ( ~ ~ ( ~ ! [SX0: \$i] :
( ~ ( sK4_SY28 @ SX0 )
| ( sK4_SY28 @ ( cS @ SX0 ) ) )
| ~ ( sK4_SY28 @ sK1_Xx ) ) )
= \$false ),
inference(extcnf_or_neg,[status(thm)],[21]) ).

thf(25,plain,
( ( ~ ~ ( sK4_SY28 @ sK3_SY17 ) )
= \$false ),
inference(extcnf_or_neg,[status(thm)],[21]) ).

thf(26,plain,
! [SV2: \$i > \$o] :
( ( ( ~ ( ~ ( SV2 @ ( sK5_Xn @ SV2 ) )
| ~ ~ ( SV2 @ ( cS @ ( sK5_Xn @ SV2 ) ) ) )
| ~ ( SV2 @ sK1_Xx ) )
= \$true )
| ( ( SV2 @ sK2_SY9 )
= \$true ) ),
inference(extcnf_or_pos,[status(thm)],[22]) ).

thf(27,plain,
! [SV1: \$i > \$o] :
( ( ( ~ ( ~ ( SV1 @ ( sK6_Xn @ SV1 ) )
| ~ ~ ( SV1 @ ( cS @ ( sK6_Xn @ SV1 ) ) ) ) )
= \$true )
| ( ( ~ ( SV1 @ sK2_SY9 ) )
= \$true )
| ( ( SV1 @ sK3_SY17 )
= \$true ) ),
inference(extcnf_or_pos,[status(thm)],[23]) ).

thf(28,plain,
( ( ~ ( ~ ! [SX0: \$i] :
( ~ ( sK4_SY28 @ SX0 )
| ( sK4_SY28 @ ( cS @ SX0 ) ) )
| ~ ( sK4_SY28 @ sK1_Xx ) ) )
= \$true ),
inference(extcnf_not_neg,[status(thm)],[24]) ).

thf(29,plain,
( ( ~ ( sK4_SY28 @ sK3_SY17 ) )
= \$true ),
inference(extcnf_not_neg,[status(thm)],[25]) ).

thf(30,plain,
! [SV2: \$i > \$o] :
( ( ( ~ ( ~ ( SV2 @ ( sK5_Xn @ SV2 ) )
| ~ ~ ( SV2 @ ( cS @ ( sK5_Xn @ SV2 ) ) ) ) )
= \$true )
| ( ( ~ ( SV2 @ sK1_Xx ) )
= \$true )
| ( ( SV2 @ sK2_SY9 )
= \$true ) ),
inference(extcnf_or_pos,[status(thm)],[26]) ).

thf(31,plain,
! [SV1: \$i > \$o] :
( ( ( ~ ( SV1 @ ( sK6_Xn @ SV1 ) )
| ~ ~ ( SV1 @ ( cS @ ( sK6_Xn @ SV1 ) ) ) )
= \$false )
| ( ( ~ ( SV1 @ sK2_SY9 ) )
= \$true )
| ( ( SV1 @ sK3_SY17 )
= \$true ) ),
inference(extcnf_not_pos,[status(thm)],[27]) ).

thf(32,plain,
( ( ~ ! [SX0: \$i] :
( ~ ( sK4_SY28 @ SX0 )
| ( sK4_SY28 @ ( cS @ SX0 ) ) )
| ~ ( sK4_SY28 @ sK1_Xx ) )
= \$false ),
inference(extcnf_not_pos,[status(thm)],[28]) ).

thf(33,plain,
( ( sK4_SY28 @ sK3_SY17 )
= \$false ),
inference(extcnf_not_pos,[status(thm)],[29]) ).

thf(34,plain,
! [SV2: \$i > \$o] :
( ( ( ~ ( SV2 @ ( sK5_Xn @ SV2 ) )
| ~ ~ ( SV2 @ ( cS @ ( sK5_Xn @ SV2 ) ) ) )
= \$false )
| ( ( ~ ( SV2 @ sK1_Xx ) )
= \$true )
| ( ( SV2 @ sK2_SY9 )
= \$true ) ),
inference(extcnf_not_pos,[status(thm)],[30]) ).

thf(35,plain,
! [SV1: \$i > \$o] :
( ( ( ~ ( SV1 @ ( sK6_Xn @ SV1 ) ) )
= \$false )
| ( ( ~ ( SV1 @ sK2_SY9 ) )
= \$true )
| ( ( SV1 @ sK3_SY17 )
= \$true ) ),
inference(extcnf_or_neg,[status(thm)],[31]) ).

thf(36,plain,
! [SV1: \$i > \$o] :
( ( ( ~ ~ ( SV1 @ ( cS @ ( sK6_Xn @ SV1 ) ) ) )
= \$false )
| ( ( ~ ( SV1 @ sK2_SY9 ) )
= \$true )
| ( ( SV1 @ sK3_SY17 )
= \$true ) ),
inference(extcnf_or_neg,[status(thm)],[31]) ).

thf(37,plain,
( ( ~ ! [SX0: \$i] :
( ~ ( sK4_SY28 @ SX0 )
| ( sK4_SY28 @ ( cS @ SX0 ) ) ) )
= \$false ),
inference(extcnf_or_neg,[status(thm)],[32]) ).

thf(38,plain,
( ( ~ ( sK4_SY28 @ sK1_Xx ) )
= \$false ),
inference(extcnf_or_neg,[status(thm)],[32]) ).

thf(39,plain,
! [SV2: \$i > \$o] :
( ( ( ~ ( SV2 @ ( sK5_Xn @ SV2 ) ) )
= \$false )
| ( ( ~ ( SV2 @ sK1_Xx ) )
= \$true )
| ( ( SV2 @ sK2_SY9 )
= \$true ) ),
inference(extcnf_or_neg,[status(thm)],[34]) ).

thf(40,plain,
! [SV2: \$i > \$o] :
( ( ( ~ ~ ( SV2 @ ( cS @ ( sK5_Xn @ SV2 ) ) ) )
= \$false )
| ( ( ~ ( SV2 @ sK1_Xx ) )
= \$true )
| ( ( SV2 @ sK2_SY9 )
= \$true ) ),
inference(extcnf_or_neg,[status(thm)],[34]) ).

thf(41,plain,
! [SV1: \$i > \$o] :
( ( ( SV1 @ ( sK6_Xn @ SV1 ) )
= \$true )
| ( ( ~ ( SV1 @ sK2_SY9 ) )
= \$true )
| ( ( SV1 @ sK3_SY17 )
= \$true ) ),
inference(extcnf_not_neg,[status(thm)],[35]) ).

thf(42,plain,
! [SV1: \$i > \$o] :
( ( ( ~ ( SV1 @ ( cS @ ( sK6_Xn @ SV1 ) ) ) )
= \$true )
| ( ( ~ ( SV1 @ sK2_SY9 ) )
= \$true )
| ( ( SV1 @ sK3_SY17 )
= \$true ) ),
inference(extcnf_not_neg,[status(thm)],[36]) ).

thf(43,plain,
( ( ! [SX0: \$i] :
( ~ ( sK4_SY28 @ SX0 )
| ( sK4_SY28 @ ( cS @ SX0 ) ) ) )
= \$true ),
inference(extcnf_not_neg,[status(thm)],[37]) ).

thf(44,plain,
( ( sK4_SY28 @ sK1_Xx )
= \$true ),
inference(extcnf_not_neg,[status(thm)],[38]) ).

thf(45,plain,
! [SV2: \$i > \$o] :
( ( ( SV2 @ ( sK5_Xn @ SV2 ) )
= \$true )
| ( ( ~ ( SV2 @ sK1_Xx ) )
= \$true )
| ( ( SV2 @ sK2_SY9 )
= \$true ) ),
inference(extcnf_not_neg,[status(thm)],[39]) ).

thf(46,plain,
! [SV2: \$i > \$o] :
( ( ( ~ ( SV2 @ ( cS @ ( sK5_Xn @ SV2 ) ) ) )
= \$true )
| ( ( ~ ( SV2 @ sK1_Xx ) )
= \$true )
| ( ( SV2 @ sK2_SY9 )
= \$true ) ),
inference(extcnf_not_neg,[status(thm)],[40]) ).

thf(47,plain,
! [SV1: \$i > \$o] :
( ( ( SV1 @ sK2_SY9 )
= \$false )
| ( ( SV1 @ ( sK6_Xn @ SV1 ) )
= \$true )
| ( ( SV1 @ sK3_SY17 )
= \$true ) ),
inference(extcnf_not_pos,[status(thm)],[41]) ).

thf(48,plain,
! [SV1: \$i > \$o] :
( ( ( SV1 @ ( cS @ ( sK6_Xn @ SV1 ) ) )
= \$false )
| ( ( ~ ( SV1 @ sK2_SY9 ) )
= \$true )
| ( ( SV1 @ sK3_SY17 )
= \$true ) ),
inference(extcnf_not_pos,[status(thm)],[42]) ).

thf(49,plain,
! [SV3: \$i] :
( ( ~ ( sK4_SY28 @ SV3 )
| ( sK4_SY28 @ ( cS @ SV3 ) ) )
= \$true ),
inference(extcnf_forall_pos,[status(thm)],[43]) ).

thf(50,plain,
! [SV2: \$i > \$o] :
( ( ( SV2 @ sK1_Xx )
= \$false )
| ( ( SV2 @ ( sK5_Xn @ SV2 ) )
= \$true )
| ( ( SV2 @ sK2_SY9 )
= \$true ) ),
inference(extcnf_not_pos,[status(thm)],[45]) ).

thf(51,plain,
! [SV2: \$i > \$o] :
( ( ( SV2 @ ( cS @ ( sK5_Xn @ SV2 ) ) )
= \$false )
| ( ( ~ ( SV2 @ sK1_Xx ) )
= \$true )
| ( ( SV2 @ sK2_SY9 )
= \$true ) ),
inference(extcnf_not_pos,[status(thm)],[46]) ).

thf(52,plain,
! [SV1: \$i > \$o] :
( ( ( SV1 @ sK2_SY9 )
= \$false )
| ( ( SV1 @ ( cS @ ( sK6_Xn @ SV1 ) ) )
= \$false )
| ( ( SV1 @ sK3_SY17 )
= \$true ) ),
inference(extcnf_not_pos,[status(thm)],[48]) ).

thf(53,plain,
! [SV3: \$i] :
( ( ( ~ ( sK4_SY28 @ SV3 ) )
= \$true )
| ( ( sK4_SY28 @ ( cS @ SV3 ) )
= \$true ) ),
inference(extcnf_or_pos,[status(thm)],[49]) ).

thf(54,plain,
! [SV2: \$i > \$o] :
( ( ( SV2 @ sK1_Xx )
= \$false )
| ( ( SV2 @ ( cS @ ( sK5_Xn @ SV2 ) ) )
= \$false )
| ( ( SV2 @ sK2_SY9 )
= \$true ) ),
inference(extcnf_not_pos,[status(thm)],[51]) ).

thf(55,plain,
! [SV3: \$i] :
( ( ( sK4_SY28 @ SV3 )
= \$false )
| ( ( sK4_SY28 @ ( cS @ SV3 ) )
= \$true ) ),
inference(extcnf_not_pos,[status(thm)],[53]) ).

thf(56,plain,
\$false = \$true,
inference(fo_atp_e,[status(thm)],[33,55,54,52,50,47,44]) ).

thf(57,plain,
\$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[56]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SEV070^5 : TPTP v6.4.0. Released v4.0.0.
% 0.00/0.04  % Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.02/0.22  % Computer : n123.star.cs.uiowa.edu
% 0.02/0.22  % Model    : x86_64 x86_64
% 0.02/0.22  % CPU      : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.02/0.22  % Memory   : 32218.75MB
% 0.02/0.22  % OS       : Linux 3.10.0-327.36.3.el7.x86_64
% 0.02/0.22  % CPULimit : 300
% 0.02/0.22  % DateTime : Sun Jan 15 23:53:02 CST 2017
% 0.02/0.23  % CPUTime  :
% 0.02/0.23
% 0.02/0.23   No.of.Axioms: 0
% 0.02/0.23
% 0.02/0.23   Length.of.Defs: 0
% 0.02/0.23
% 0.02/0.23   Contains.Choice.Funs: false
% 0.02/0.23  (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)..
% 0.02/0.26
% 0.02/0.26  ********************************
% 0.02/0.26  *   All subproblems solved!    *
% 0.02/0.26  ********************************
% 0.02/0.26  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:2,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:56,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.02/0.26
% 0.02/0.26  %**** Beginning of derivation protocol ****
% 0.02/0.26  % SZS output start CNFRefutation
% See solution above
% 0.02/0.26  % SZS output end CNFRefutation
% 0.02/0.26
% 0.02/0.26  %**** End of derivation protocol ****
% 0.02/0.26  %**** no. of clauses in derivation: 57 ****
% 0.02/0.26  %**** clause counter: 56 ****
% 0.02/0.26
% 0.02/0.26  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:2,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:56,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------
```