TSTP Solution File: SEV019^5 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SEV019^5 : 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 17:34:23 EDT 2022
% Result : Theorem 0.12s 0.34s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 11
% Syntax : Number of formulae : 133 ( 83 unt; 10 typ; 0 def)
% Number of atoms : 766 ( 172 equ; 0 cnn)
% Maximal formula atoms : 7 ( 6 avg)
% Number of connectives : 1578 ( 383 ~; 252 |; 40 &; 880 @)
% ( 4 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 9 ( 9 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 9 usr; 8 con; 0-2 aty)
% Number of variables : 318 ( 0 ^ 310 !; 8 ?; 318 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a,type,
a: $tType ).
thf(tp_cQ,type,
cQ: a > a > $o ).
thf(tp_sK1_Xx,type,
sK1_Xx: a ).
thf(tp_sK2_Xx,type,
sK2_Xx: a ).
thf(tp_sK3_SY11,type,
sK3_SY11: a ).
thf(tp_sK4_Xx,type,
sK4_Xx: a ).
thf(tp_sK5_SY12,type,
sK5_SY12: a ).
thf(tp_sK6_SY14,type,
sK6_SY14: a ).
thf(tp_sK7_Xp,type,
sK7_Xp: a > a > $o ).
thf(tp_sK8_SY18,type,
sK8_SY18: a > a ).
thf(1,conjecture,
( ! [Xx: a] :
? [Xp: a > $o] :
( ? [Xz: a] : ( Xp @ Xz )
& ! [Xx0: a] :
( ( Xp @ Xx0 )
=> ! [Xy: a] :
( ( Xp @ Xy )
<=> ( cQ @ Xx0 @ Xy ) ) )
& ( Xp @ Xx ) )
=> ( ! [Xx: a] : ( cQ @ Xx @ Xx )
& ! [Xx: a,Xy: a] :
( ( cQ @ Xx @ Xy )
=> ( cQ @ Xy @ Xx ) )
& ! [Xx: a,Xy: a,Xz: a] :
( ( ( cQ @ Xx @ Xy )
& ( cQ @ Xy @ Xz ) )
=> ( cQ @ Xx @ Xz ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM559_pme) ).
thf(2,negated_conjecture,
( ( ! [Xx: a] :
? [Xp: a > $o] :
( ? [Xz: a] : ( Xp @ Xz )
& ! [Xx0: a] :
( ( Xp @ Xx0 )
=> ! [Xy: a] :
( ( Xp @ Xy )
<=> ( cQ @ Xx0 @ Xy ) ) )
& ( Xp @ Xx ) )
=> ( ! [Xx: a] : ( cQ @ Xx @ Xx )
& ! [Xx: a,Xy: a] :
( ( cQ @ Xx @ Xy )
=> ( cQ @ Xy @ Xx ) )
& ! [Xx: a,Xy: a,Xz: a] :
( ( ( cQ @ Xx @ Xy )
& ( cQ @ Xy @ Xz ) )
=> ( cQ @ Xx @ Xz ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ! [Xx: a] :
? [Xp: a > $o] :
( ? [Xz: a] : ( Xp @ Xz )
& ! [Xx0: a] :
( ( Xp @ Xx0 )
=> ! [Xy: a] :
( ( Xp @ Xy )
<=> ( cQ @ Xx0 @ Xy ) ) )
& ( Xp @ Xx ) )
=> ( ! [Xx: a] : ( cQ @ Xx @ Xx )
& ! [Xx: a,Xy: a] :
( ( cQ @ Xx @ Xy )
=> ( cQ @ Xy @ Xx ) )
& ! [Xx: a,Xy: a,Xz: a] :
( ( ( cQ @ Xx @ Xy )
& ( cQ @ Xy @ Xz ) )
=> ( cQ @ Xx @ Xz ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ! [Xx: a] :
? [Xp: a > $o] :
( ? [Xz: a] : ( Xp @ Xz )
& ! [Xx0: a] :
( ( Xp @ Xx0 )
=> ! [Xy: a] :
( ( Xp @ Xy )
<=> ( cQ @ Xx0 @ Xy ) ) )
& ( Xp @ Xx ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(5,plain,
( ( ! [Xx: a] : ( cQ @ Xx @ Xx )
& ! [Xx: a,Xy: a] :
( ( cQ @ Xx @ Xy )
=> ( cQ @ Xy @ Xx ) )
& ! [Xx: a,Xy: a,Xz: a] :
( ( ( cQ @ Xx @ Xy )
& ( cQ @ Xy @ Xz ) )
=> ( cQ @ Xx @ Xz ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(6,plain,
( ( ! [Xx: a] : ( cQ @ Xx @ Xx ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[5]) ).
thf(7,plain,
( ( ! [Xx: a,Xy: a] :
( ( cQ @ Xx @ Xy )
=> ( cQ @ Xy @ Xx ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[5]) ).
thf(8,plain,
( ( ! [Xx: a,Xy: a,Xz: a] :
( ( ( cQ @ Xx @ Xy )
& ( cQ @ Xy @ Xz ) )
=> ( cQ @ Xx @ Xz ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[5]) ).
thf(9,plain,
( ( ~ ! [Xx: a] : ( cQ @ Xx @ Xx ) )
= $true ),
inference(polarity_switch,[status(thm)],[6]) ).
thf(10,plain,
( ( ~ ! [Xx: a,Xy: a] :
( ( cQ @ Xx @ Xy )
=> ( cQ @ Xy @ Xx ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[7]) ).
thf(11,plain,
( ( ~ ! [Xx: a,Xy: a,Xz: a] :
( ( ( cQ @ Xx @ Xy )
& ( cQ @ Xy @ Xz ) )
=> ( cQ @ Xx @ Xz ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[8]) ).
thf(12,plain,
( ( ~ ( cQ @ sK1_Xx @ sK1_Xx ) )
= $true ),
inference(extcnf_combined,[status(esa)],[9]) ).
thf(13,plain,
( ( ( cQ @ sK2_Xx @ sK3_SY11 )
& ~ ( cQ @ sK3_SY11 @ sK2_Xx ) )
= $true ),
inference(extcnf_combined,[status(esa)],[10]) ).
thf(14,plain,
( ( ( cQ @ sK4_Xx @ sK5_SY12 )
& ( cQ @ sK5_SY12 @ sK6_SY14 )
& ~ ( cQ @ sK4_Xx @ sK6_SY14 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[11]) ).
thf(15,plain,
( ( ! [Xx: a] :
( ! [SY15: a] :
( ~ ( sK7_Xp @ Xx @ SY15 )
| ( ! [SY16: a] :
( ~ ( sK7_Xp @ Xx @ SY16 )
| ( cQ @ SY15 @ SY16 ) )
& ! [SY17: a] :
( ~ ( cQ @ SY15 @ SY17 )
| ( sK7_Xp @ Xx @ SY17 ) ) ) )
& ( sK7_Xp @ Xx @ ( sK8_SY18 @ Xx ) )
& ( sK7_Xp @ Xx @ Xx ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[4]) ).
thf(16,plain,
( ( ! [Xx: a] :
( ! [SY15: a] :
( ~ ( sK7_Xp @ Xx @ SY15 )
| ( ! [SY16: a] :
( ~ ( sK7_Xp @ Xx @ SY16 )
| ( cQ @ SY15 @ SY16 ) )
& ! [SY17: a] :
( ~ ( cQ @ SY15 @ SY17 )
| ( sK7_Xp @ Xx @ SY17 ) ) ) )
& ( sK7_Xp @ Xx @ ( sK8_SY18 @ Xx ) )
& ( sK7_Xp @ Xx @ Xx ) ) )
= $true ),
inference(copy,[status(thm)],[15]) ).
thf(17,plain,
( ( ~ ( cQ @ sK1_Xx @ sK1_Xx ) )
= $true ),
inference(copy,[status(thm)],[12]) ).
thf(18,plain,
( ( ! [SX0: a] :
~ ( ~ ~ ( ~ ! [SX1: a] :
( ~ ( sK7_Xp @ SX0 @ SX1 )
| ~ ( ~ ! [SX2: a] :
( ~ ( sK7_Xp @ SX0 @ SX2 )
| ( cQ @ SX1 @ SX2 ) )
| ~ ! [SX2: a] :
( ~ ( cQ @ SX1 @ SX2 )
| ( sK7_Xp @ SX0 @ SX2 ) ) ) )
| ~ ( sK7_Xp @ SX0 @ ( sK8_SY18 @ SX0 ) ) )
| ~ ( sK7_Xp @ SX0 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(19,plain,
( ( cQ @ sK1_Xx @ sK1_Xx )
= $false ),
inference(extcnf_not_pos,[status(thm)],[17]) ).
thf(20,plain,
! [SV1: a] :
( ( ~ ( ~ ~ ( ~ ! [SY19: a] :
( ~ ( sK7_Xp @ SV1 @ SY19 )
| ~ ( ~ ! [SY20: a] :
( ~ ( sK7_Xp @ SV1 @ SY20 )
| ( cQ @ SY19 @ SY20 ) )
| ~ ! [SY21: a] :
( ~ ( cQ @ SY19 @ SY21 )
| ( sK7_Xp @ SV1 @ SY21 ) ) ) )
| ~ ( sK7_Xp @ SV1 @ ( sK8_SY18 @ SV1 ) ) )
| ~ ( sK7_Xp @ SV1 @ SV1 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[18]) ).
thf(21,plain,
! [SV1: a] :
( ( ~ ~ ( ~ ! [SY19: a] :
( ~ ( sK7_Xp @ SV1 @ SY19 )
| ~ ( ~ ! [SY20: a] :
( ~ ( sK7_Xp @ SV1 @ SY20 )
| ( cQ @ SY19 @ SY20 ) )
| ~ ! [SY21: a] :
( ~ ( cQ @ SY19 @ SY21 )
| ( sK7_Xp @ SV1 @ SY21 ) ) ) )
| ~ ( sK7_Xp @ SV1 @ ( sK8_SY18 @ SV1 ) ) )
| ~ ( sK7_Xp @ SV1 @ SV1 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[20]) ).
thf(22,plain,
! [SV1: a] :
( ( ~ ~ ( ~ ! [SY19: a] :
( ~ ( sK7_Xp @ SV1 @ SY19 )
| ~ ( ~ ! [SY20: a] :
( ~ ( sK7_Xp @ SV1 @ SY20 )
| ( cQ @ SY19 @ SY20 ) )
| ~ ! [SY21: a] :
( ~ ( cQ @ SY19 @ SY21 )
| ( sK7_Xp @ SV1 @ SY21 ) ) ) )
| ~ ( sK7_Xp @ SV1 @ ( sK8_SY18 @ SV1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[21]) ).
thf(23,plain,
! [SV1: a] :
( ( ~ ( sK7_Xp @ SV1 @ SV1 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[21]) ).
thf(24,plain,
! [SV1: a] :
( ( ~ ( ~ ! [SY19: a] :
( ~ ( sK7_Xp @ SV1 @ SY19 )
| ~ ( ~ ! [SY20: a] :
( ~ ( sK7_Xp @ SV1 @ SY20 )
| ( cQ @ SY19 @ SY20 ) )
| ~ ! [SY21: a] :
( ~ ( cQ @ SY19 @ SY21 )
| ( sK7_Xp @ SV1 @ SY21 ) ) ) )
| ~ ( sK7_Xp @ SV1 @ ( sK8_SY18 @ SV1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[22]) ).
thf(25,plain,
! [SV1: a] :
( ( sK7_Xp @ SV1 @ SV1 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[23]) ).
thf(26,plain,
! [SV1: a] :
( ( ~ ! [SY19: a] :
( ~ ( sK7_Xp @ SV1 @ SY19 )
| ~ ( ~ ! [SY20: a] :
( ~ ( sK7_Xp @ SV1 @ SY20 )
| ( cQ @ SY19 @ SY20 ) )
| ~ ! [SY21: a] :
( ~ ( cQ @ SY19 @ SY21 )
| ( sK7_Xp @ SV1 @ SY21 ) ) ) )
| ~ ( sK7_Xp @ SV1 @ ( sK8_SY18 @ SV1 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[24]) ).
thf(27,plain,
! [SV1: a] :
( ( ~ ! [SY19: a] :
( ~ ( sK7_Xp @ SV1 @ SY19 )
| ~ ( ~ ! [SY20: a] :
( ~ ( sK7_Xp @ SV1 @ SY20 )
| ( cQ @ SY19 @ SY20 ) )
| ~ ! [SY21: a] :
( ~ ( cQ @ SY19 @ SY21 )
| ( sK7_Xp @ SV1 @ SY21 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[26]) ).
thf(28,plain,
! [SV1: a] :
( ( ~ ( sK7_Xp @ SV1 @ ( sK8_SY18 @ SV1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[26]) ).
thf(29,plain,
! [SV1: a] :
( ( ! [SY19: a] :
( ~ ( sK7_Xp @ SV1 @ SY19 )
| ~ ( ~ ! [SY20: a] :
( ~ ( sK7_Xp @ SV1 @ SY20 )
| ( cQ @ SY19 @ SY20 ) )
| ~ ! [SY21: a] :
( ~ ( cQ @ SY19 @ SY21 )
| ( sK7_Xp @ SV1 @ SY21 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[27]) ).
thf(30,plain,
! [SV1: a] :
( ( sK7_Xp @ SV1 @ ( sK8_SY18 @ SV1 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[28]) ).
thf(31,plain,
! [SV2: a,SV1: a] :
( ( ~ ( sK7_Xp @ SV1 @ SV2 )
| ~ ( ~ ! [SY22: a] :
( ~ ( sK7_Xp @ SV1 @ SY22 )
| ( cQ @ SV2 @ SY22 ) )
| ~ ! [SY23: a] :
( ~ ( cQ @ SV2 @ SY23 )
| ( sK7_Xp @ SV1 @ SY23 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[29]) ).
thf(32,plain,
! [SV2: a,SV1: a] :
( ( ( ~ ( sK7_Xp @ SV1 @ SV2 ) )
= $true )
| ( ( ~ ( ~ ! [SY22: a] :
( ~ ( sK7_Xp @ SV1 @ SY22 )
| ( cQ @ SV2 @ SY22 ) )
| ~ ! [SY23: a] :
( ~ ( cQ @ SV2 @ SY23 )
| ( sK7_Xp @ SV1 @ SY23 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[31]) ).
thf(33,plain,
! [SV2: a,SV1: a] :
( ( ( sK7_Xp @ SV1 @ SV2 )
= $false )
| ( ( ~ ( ~ ! [SY22: a] :
( ~ ( sK7_Xp @ SV1 @ SY22 )
| ( cQ @ SV2 @ SY22 ) )
| ~ ! [SY23: a] :
( ~ ( cQ @ SV2 @ SY23 )
| ( sK7_Xp @ SV1 @ SY23 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[32]) ).
thf(34,plain,
! [SV2: a,SV1: a] :
( ( ( ~ ! [SY22: a] :
( ~ ( sK7_Xp @ SV1 @ SY22 )
| ( cQ @ SV2 @ SY22 ) )
| ~ ! [SY23: a] :
( ~ ( cQ @ SV2 @ SY23 )
| ( sK7_Xp @ SV1 @ SY23 ) ) )
= $false )
| ( ( sK7_Xp @ SV1 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[33]) ).
thf(35,plain,
! [SV2: a,SV1: a] :
( ( ( ~ ! [SY22: a] :
( ~ ( sK7_Xp @ SV1 @ SY22 )
| ( cQ @ SV2 @ SY22 ) ) )
= $false )
| ( ( sK7_Xp @ SV1 @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[34]) ).
thf(36,plain,
! [SV1: a,SV2: a] :
( ( ( ~ ! [SY23: a] :
( ~ ( cQ @ SV2 @ SY23 )
| ( sK7_Xp @ SV1 @ SY23 ) ) )
= $false )
| ( ( sK7_Xp @ SV1 @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[34]) ).
thf(37,plain,
! [SV2: a,SV1: a] :
( ( ( ! [SY22: a] :
( ~ ( sK7_Xp @ SV1 @ SY22 )
| ( cQ @ SV2 @ SY22 ) ) )
= $true )
| ( ( sK7_Xp @ SV1 @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[35]) ).
thf(38,plain,
! [SV1: a,SV2: a] :
( ( ( ! [SY23: a] :
( ~ ( cQ @ SV2 @ SY23 )
| ( sK7_Xp @ SV1 @ SY23 ) ) )
= $true )
| ( ( sK7_Xp @ SV1 @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[36]) ).
thf(39,plain,
! [SV2: a,SV3: a,SV1: a] :
( ( ( ~ ( sK7_Xp @ SV1 @ SV3 )
| ( cQ @ SV2 @ SV3 ) )
= $true )
| ( ( sK7_Xp @ SV1 @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[37]) ).
thf(40,plain,
! [SV1: a,SV4: a,SV2: a] :
( ( ( ~ ( cQ @ SV2 @ SV4 )
| ( sK7_Xp @ SV1 @ SV4 ) )
= $true )
| ( ( sK7_Xp @ SV1 @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[38]) ).
thf(41,plain,
! [SV2: a,SV3: a,SV1: a] :
( ( ( ~ ( sK7_Xp @ SV1 @ SV3 ) )
= $true )
| ( ( cQ @ SV2 @ SV3 )
= $true )
| ( ( sK7_Xp @ SV1 @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[39]) ).
thf(42,plain,
! [SV1: a,SV4: a,SV2: a] :
( ( ( ~ ( cQ @ SV2 @ SV4 ) )
= $true )
| ( ( sK7_Xp @ SV1 @ SV4 )
= $true )
| ( ( sK7_Xp @ SV1 @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[40]) ).
thf(43,plain,
! [SV2: a,SV3: a,SV1: a] :
( ( ( sK7_Xp @ SV1 @ SV3 )
= $false )
| ( ( cQ @ SV2 @ SV3 )
= $true )
| ( ( sK7_Xp @ SV1 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[41]) ).
thf(44,plain,
! [SV1: a,SV4: a,SV2: a] :
( ( ( cQ @ SV2 @ SV4 )
= $false )
| ( ( sK7_Xp @ SV1 @ SV4 )
= $true )
| ( ( sK7_Xp @ SV1 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[42]) ).
thf(45,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[19,44,43,30,25]) ).
thf(46,plain,
( ( ! [Xx: a] :
( ! [SY15: a] :
( ~ ( sK7_Xp @ Xx @ SY15 )
| ( ! [SY16: a] :
( ~ ( sK7_Xp @ Xx @ SY16 )
| ( cQ @ SY15 @ SY16 ) )
& ! [SY17: a] :
( ~ ( cQ @ SY15 @ SY17 )
| ( sK7_Xp @ Xx @ SY17 ) ) ) )
& ( sK7_Xp @ Xx @ ( sK8_SY18 @ Xx ) )
& ( sK7_Xp @ Xx @ Xx ) ) )
= $true ),
inference(copy,[status(thm)],[15]) ).
thf(47,plain,
( ( ( cQ @ sK2_Xx @ sK3_SY11 )
& ~ ( cQ @ sK3_SY11 @ sK2_Xx ) )
= $true ),
inference(copy,[status(thm)],[13]) ).
thf(48,plain,
( ( ! [SX0: a] :
~ ( ~ ~ ( ~ ! [SX1: a] :
( ~ ( sK7_Xp @ SX0 @ SX1 )
| ~ ( ~ ! [SX2: a] :
( ~ ( sK7_Xp @ SX0 @ SX2 )
| ( cQ @ SX1 @ SX2 ) )
| ~ ! [SX2: a] :
( ~ ( cQ @ SX1 @ SX2 )
| ( sK7_Xp @ SX0 @ SX2 ) ) ) )
| ~ ( sK7_Xp @ SX0 @ ( sK8_SY18 @ SX0 ) ) )
| ~ ( sK7_Xp @ SX0 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[46]) ).
thf(49,plain,
( ( ~ ( ~ ( cQ @ sK2_Xx @ sK3_SY11 )
| ~ ~ ( cQ @ sK3_SY11 @ sK2_Xx ) ) )
= $true ),
inference(unfold_def,[status(thm)],[47]) ).
thf(50,plain,
! [SV5: a] :
( ( ~ ( ~ ~ ( ~ ! [SY24: a] :
( ~ ( sK7_Xp @ SV5 @ SY24 )
| ~ ( ~ ! [SY25: a] :
( ~ ( sK7_Xp @ SV5 @ SY25 )
| ( cQ @ SY24 @ SY25 ) )
| ~ ! [SY26: a] :
( ~ ( cQ @ SY24 @ SY26 )
| ( sK7_Xp @ SV5 @ SY26 ) ) ) )
| ~ ( sK7_Xp @ SV5 @ ( sK8_SY18 @ SV5 ) ) )
| ~ ( sK7_Xp @ SV5 @ SV5 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[48]) ).
thf(51,plain,
( ( ~ ( cQ @ sK2_Xx @ sK3_SY11 )
| ~ ~ ( cQ @ sK3_SY11 @ sK2_Xx ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[49]) ).
thf(52,plain,
! [SV5: a] :
( ( ~ ~ ( ~ ! [SY24: a] :
( ~ ( sK7_Xp @ SV5 @ SY24 )
| ~ ( ~ ! [SY25: a] :
( ~ ( sK7_Xp @ SV5 @ SY25 )
| ( cQ @ SY24 @ SY25 ) )
| ~ ! [SY26: a] :
( ~ ( cQ @ SY24 @ SY26 )
| ( sK7_Xp @ SV5 @ SY26 ) ) ) )
| ~ ( sK7_Xp @ SV5 @ ( sK8_SY18 @ SV5 ) ) )
| ~ ( sK7_Xp @ SV5 @ SV5 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[50]) ).
thf(53,plain,
( ( ~ ( cQ @ sK2_Xx @ sK3_SY11 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[51]) ).
thf(54,plain,
( ( ~ ~ ( cQ @ sK3_SY11 @ sK2_Xx ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[51]) ).
thf(55,plain,
! [SV5: a] :
( ( ~ ~ ( ~ ! [SY24: a] :
( ~ ( sK7_Xp @ SV5 @ SY24 )
| ~ ( ~ ! [SY25: a] :
( ~ ( sK7_Xp @ SV5 @ SY25 )
| ( cQ @ SY24 @ SY25 ) )
| ~ ! [SY26: a] :
( ~ ( cQ @ SY24 @ SY26 )
| ( sK7_Xp @ SV5 @ SY26 ) ) ) )
| ~ ( sK7_Xp @ SV5 @ ( sK8_SY18 @ SV5 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[52]) ).
thf(56,plain,
! [SV5: a] :
( ( ~ ( sK7_Xp @ SV5 @ SV5 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[52]) ).
thf(57,plain,
( ( cQ @ sK2_Xx @ sK3_SY11 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[53]) ).
thf(58,plain,
( ( ~ ( cQ @ sK3_SY11 @ sK2_Xx ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[54]) ).
thf(59,plain,
! [SV5: a] :
( ( ~ ( ~ ! [SY24: a] :
( ~ ( sK7_Xp @ SV5 @ SY24 )
| ~ ( ~ ! [SY25: a] :
( ~ ( sK7_Xp @ SV5 @ SY25 )
| ( cQ @ SY24 @ SY25 ) )
| ~ ! [SY26: a] :
( ~ ( cQ @ SY24 @ SY26 )
| ( sK7_Xp @ SV5 @ SY26 ) ) ) )
| ~ ( sK7_Xp @ SV5 @ ( sK8_SY18 @ SV5 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[55]) ).
thf(60,plain,
! [SV5: a] :
( ( sK7_Xp @ SV5 @ SV5 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[56]) ).
thf(61,plain,
( ( cQ @ sK3_SY11 @ sK2_Xx )
= $false ),
inference(extcnf_not_pos,[status(thm)],[58]) ).
thf(62,plain,
! [SV5: a] :
( ( ~ ! [SY24: a] :
( ~ ( sK7_Xp @ SV5 @ SY24 )
| ~ ( ~ ! [SY25: a] :
( ~ ( sK7_Xp @ SV5 @ SY25 )
| ( cQ @ SY24 @ SY25 ) )
| ~ ! [SY26: a] :
( ~ ( cQ @ SY24 @ SY26 )
| ( sK7_Xp @ SV5 @ SY26 ) ) ) )
| ~ ( sK7_Xp @ SV5 @ ( sK8_SY18 @ SV5 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[59]) ).
thf(63,plain,
! [SV5: a] :
( ( ~ ! [SY24: a] :
( ~ ( sK7_Xp @ SV5 @ SY24 )
| ~ ( ~ ! [SY25: a] :
( ~ ( sK7_Xp @ SV5 @ SY25 )
| ( cQ @ SY24 @ SY25 ) )
| ~ ! [SY26: a] :
( ~ ( cQ @ SY24 @ SY26 )
| ( sK7_Xp @ SV5 @ SY26 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[62]) ).
thf(64,plain,
! [SV5: a] :
( ( ~ ( sK7_Xp @ SV5 @ ( sK8_SY18 @ SV5 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[62]) ).
thf(65,plain,
! [SV5: a] :
( ( ! [SY24: a] :
( ~ ( sK7_Xp @ SV5 @ SY24 )
| ~ ( ~ ! [SY25: a] :
( ~ ( sK7_Xp @ SV5 @ SY25 )
| ( cQ @ SY24 @ SY25 ) )
| ~ ! [SY26: a] :
( ~ ( cQ @ SY24 @ SY26 )
| ( sK7_Xp @ SV5 @ SY26 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[63]) ).
thf(66,plain,
! [SV5: a] :
( ( sK7_Xp @ SV5 @ ( sK8_SY18 @ SV5 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[64]) ).
thf(67,plain,
! [SV6: a,SV5: a] :
( ( ~ ( sK7_Xp @ SV5 @ SV6 )
| ~ ( ~ ! [SY27: a] :
( ~ ( sK7_Xp @ SV5 @ SY27 )
| ( cQ @ SV6 @ SY27 ) )
| ~ ! [SY28: a] :
( ~ ( cQ @ SV6 @ SY28 )
| ( sK7_Xp @ SV5 @ SY28 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[65]) ).
thf(68,plain,
! [SV6: a,SV5: a] :
( ( ( ~ ( sK7_Xp @ SV5 @ SV6 ) )
= $true )
| ( ( ~ ( ~ ! [SY27: a] :
( ~ ( sK7_Xp @ SV5 @ SY27 )
| ( cQ @ SV6 @ SY27 ) )
| ~ ! [SY28: a] :
( ~ ( cQ @ SV6 @ SY28 )
| ( sK7_Xp @ SV5 @ SY28 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[67]) ).
thf(69,plain,
! [SV6: a,SV5: a] :
( ( ( sK7_Xp @ SV5 @ SV6 )
= $false )
| ( ( ~ ( ~ ! [SY27: a] :
( ~ ( sK7_Xp @ SV5 @ SY27 )
| ( cQ @ SV6 @ SY27 ) )
| ~ ! [SY28: a] :
( ~ ( cQ @ SV6 @ SY28 )
| ( sK7_Xp @ SV5 @ SY28 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[68]) ).
thf(70,plain,
! [SV6: a,SV5: a] :
( ( ( ~ ! [SY27: a] :
( ~ ( sK7_Xp @ SV5 @ SY27 )
| ( cQ @ SV6 @ SY27 ) )
| ~ ! [SY28: a] :
( ~ ( cQ @ SV6 @ SY28 )
| ( sK7_Xp @ SV5 @ SY28 ) ) )
= $false )
| ( ( sK7_Xp @ SV5 @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[69]) ).
thf(71,plain,
! [SV6: a,SV5: a] :
( ( ( ~ ! [SY27: a] :
( ~ ( sK7_Xp @ SV5 @ SY27 )
| ( cQ @ SV6 @ SY27 ) ) )
= $false )
| ( ( sK7_Xp @ SV5 @ SV6 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[70]) ).
thf(72,plain,
! [SV5: a,SV6: a] :
( ( ( ~ ! [SY28: a] :
( ~ ( cQ @ SV6 @ SY28 )
| ( sK7_Xp @ SV5 @ SY28 ) ) )
= $false )
| ( ( sK7_Xp @ SV5 @ SV6 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[70]) ).
thf(73,plain,
! [SV6: a,SV5: a] :
( ( ( ! [SY27: a] :
( ~ ( sK7_Xp @ SV5 @ SY27 )
| ( cQ @ SV6 @ SY27 ) ) )
= $true )
| ( ( sK7_Xp @ SV5 @ SV6 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[71]) ).
thf(74,plain,
! [SV5: a,SV6: a] :
( ( ( ! [SY28: a] :
( ~ ( cQ @ SV6 @ SY28 )
| ( sK7_Xp @ SV5 @ SY28 ) ) )
= $true )
| ( ( sK7_Xp @ SV5 @ SV6 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[72]) ).
thf(75,plain,
! [SV6: a,SV7: a,SV5: a] :
( ( ( ~ ( sK7_Xp @ SV5 @ SV7 )
| ( cQ @ SV6 @ SV7 ) )
= $true )
| ( ( sK7_Xp @ SV5 @ SV6 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[73]) ).
thf(76,plain,
! [SV5: a,SV8: a,SV6: a] :
( ( ( ~ ( cQ @ SV6 @ SV8 )
| ( sK7_Xp @ SV5 @ SV8 ) )
= $true )
| ( ( sK7_Xp @ SV5 @ SV6 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[74]) ).
thf(77,plain,
! [SV6: a,SV7: a,SV5: a] :
( ( ( ~ ( sK7_Xp @ SV5 @ SV7 ) )
= $true )
| ( ( cQ @ SV6 @ SV7 )
= $true )
| ( ( sK7_Xp @ SV5 @ SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[75]) ).
thf(78,plain,
! [SV5: a,SV8: a,SV6: a] :
( ( ( ~ ( cQ @ SV6 @ SV8 ) )
= $true )
| ( ( sK7_Xp @ SV5 @ SV8 )
= $true )
| ( ( sK7_Xp @ SV5 @ SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[76]) ).
thf(79,plain,
! [SV6: a,SV7: a,SV5: a] :
( ( ( sK7_Xp @ SV5 @ SV7 )
= $false )
| ( ( cQ @ SV6 @ SV7 )
= $true )
| ( ( sK7_Xp @ SV5 @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[77]) ).
thf(80,plain,
! [SV5: a,SV8: a,SV6: a] :
( ( ( cQ @ SV6 @ SV8 )
= $false )
| ( ( sK7_Xp @ SV5 @ SV8 )
= $true )
| ( ( sK7_Xp @ SV5 @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[78]) ).
thf(81,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[57,80,79,66,61,60]) ).
thf(82,plain,
( ( ! [Xx: a] :
( ! [SY15: a] :
( ~ ( sK7_Xp @ Xx @ SY15 )
| ( ! [SY16: a] :
( ~ ( sK7_Xp @ Xx @ SY16 )
| ( cQ @ SY15 @ SY16 ) )
& ! [SY17: a] :
( ~ ( cQ @ SY15 @ SY17 )
| ( sK7_Xp @ Xx @ SY17 ) ) ) )
& ( sK7_Xp @ Xx @ ( sK8_SY18 @ Xx ) )
& ( sK7_Xp @ Xx @ Xx ) ) )
= $true ),
inference(copy,[status(thm)],[15]) ).
thf(83,plain,
( ( ( cQ @ sK4_Xx @ sK5_SY12 )
& ( cQ @ sK5_SY12 @ sK6_SY14 )
& ~ ( cQ @ sK4_Xx @ sK6_SY14 ) )
= $true ),
inference(copy,[status(thm)],[14]) ).
thf(84,plain,
( ( ~ ( ~ ~ ( ~ ( cQ @ sK4_Xx @ sK5_SY12 )
| ~ ( cQ @ sK5_SY12 @ sK6_SY14 ) )
| ~ ~ ( cQ @ sK4_Xx @ sK6_SY14 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[83]) ).
thf(85,plain,
( ( ! [SX0: a] :
~ ( ~ ~ ( ~ ! [SX1: a] :
( ~ ( sK7_Xp @ SX0 @ SX1 )
| ~ ( ~ ! [SX2: a] :
( ~ ( sK7_Xp @ SX0 @ SX2 )
| ( cQ @ SX1 @ SX2 ) )
| ~ ! [SX2: a] :
( ~ ( cQ @ SX1 @ SX2 )
| ( sK7_Xp @ SX0 @ SX2 ) ) ) )
| ~ ( sK7_Xp @ SX0 @ ( sK8_SY18 @ SX0 ) ) )
| ~ ( sK7_Xp @ SX0 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[82]) ).
thf(86,plain,
( ( ~ ~ ( ~ ( cQ @ sK4_Xx @ sK5_SY12 )
| ~ ( cQ @ sK5_SY12 @ sK6_SY14 ) )
| ~ ~ ( cQ @ sK4_Xx @ sK6_SY14 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[84]) ).
thf(87,plain,
! [SV9: a] :
( ( ~ ( ~ ~ ( ~ ! [SY29: a] :
( ~ ( sK7_Xp @ SV9 @ SY29 )
| ~ ( ~ ! [SY30: a] :
( ~ ( sK7_Xp @ SV9 @ SY30 )
| ( cQ @ SY29 @ SY30 ) )
| ~ ! [SY31: a] :
( ~ ( cQ @ SY29 @ SY31 )
| ( sK7_Xp @ SV9 @ SY31 ) ) ) )
| ~ ( sK7_Xp @ SV9 @ ( sK8_SY18 @ SV9 ) ) )
| ~ ( sK7_Xp @ SV9 @ SV9 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[85]) ).
thf(88,plain,
( ( ~ ~ ( ~ ( cQ @ sK4_Xx @ sK5_SY12 )
| ~ ( cQ @ sK5_SY12 @ sK6_SY14 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[86]) ).
thf(89,plain,
( ( ~ ~ ( cQ @ sK4_Xx @ sK6_SY14 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[86]) ).
thf(90,plain,
! [SV9: a] :
( ( ~ ~ ( ~ ! [SY29: a] :
( ~ ( sK7_Xp @ SV9 @ SY29 )
| ~ ( ~ ! [SY30: a] :
( ~ ( sK7_Xp @ SV9 @ SY30 )
| ( cQ @ SY29 @ SY30 ) )
| ~ ! [SY31: a] :
( ~ ( cQ @ SY29 @ SY31 )
| ( sK7_Xp @ SV9 @ SY31 ) ) ) )
| ~ ( sK7_Xp @ SV9 @ ( sK8_SY18 @ SV9 ) ) )
| ~ ( sK7_Xp @ SV9 @ SV9 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[87]) ).
thf(91,plain,
( ( ~ ( ~ ( cQ @ sK4_Xx @ sK5_SY12 )
| ~ ( cQ @ sK5_SY12 @ sK6_SY14 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[88]) ).
thf(92,plain,
( ( ~ ( cQ @ sK4_Xx @ sK6_SY14 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[89]) ).
thf(93,plain,
! [SV9: a] :
( ( ~ ~ ( ~ ! [SY29: a] :
( ~ ( sK7_Xp @ SV9 @ SY29 )
| ~ ( ~ ! [SY30: a] :
( ~ ( sK7_Xp @ SV9 @ SY30 )
| ( cQ @ SY29 @ SY30 ) )
| ~ ! [SY31: a] :
( ~ ( cQ @ SY29 @ SY31 )
| ( sK7_Xp @ SV9 @ SY31 ) ) ) )
| ~ ( sK7_Xp @ SV9 @ ( sK8_SY18 @ SV9 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[90]) ).
thf(94,plain,
! [SV9: a] :
( ( ~ ( sK7_Xp @ SV9 @ SV9 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[90]) ).
thf(95,plain,
( ( ~ ( cQ @ sK4_Xx @ sK5_SY12 )
| ~ ( cQ @ sK5_SY12 @ sK6_SY14 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[91]) ).
thf(96,plain,
( ( cQ @ sK4_Xx @ sK6_SY14 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[92]) ).
thf(97,plain,
! [SV9: a] :
( ( ~ ( ~ ! [SY29: a] :
( ~ ( sK7_Xp @ SV9 @ SY29 )
| ~ ( ~ ! [SY30: a] :
( ~ ( sK7_Xp @ SV9 @ SY30 )
| ( cQ @ SY29 @ SY30 ) )
| ~ ! [SY31: a] :
( ~ ( cQ @ SY29 @ SY31 )
| ( sK7_Xp @ SV9 @ SY31 ) ) ) )
| ~ ( sK7_Xp @ SV9 @ ( sK8_SY18 @ SV9 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[93]) ).
thf(98,plain,
! [SV9: a] :
( ( sK7_Xp @ SV9 @ SV9 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[94]) ).
thf(99,plain,
( ( ~ ( cQ @ sK4_Xx @ sK5_SY12 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[95]) ).
thf(100,plain,
( ( ~ ( cQ @ sK5_SY12 @ sK6_SY14 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[95]) ).
thf(101,plain,
! [SV9: a] :
( ( ~ ! [SY29: a] :
( ~ ( sK7_Xp @ SV9 @ SY29 )
| ~ ( ~ ! [SY30: a] :
( ~ ( sK7_Xp @ SV9 @ SY30 )
| ( cQ @ SY29 @ SY30 ) )
| ~ ! [SY31: a] :
( ~ ( cQ @ SY29 @ SY31 )
| ( sK7_Xp @ SV9 @ SY31 ) ) ) )
| ~ ( sK7_Xp @ SV9 @ ( sK8_SY18 @ SV9 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[97]) ).
thf(102,plain,
( ( cQ @ sK4_Xx @ sK5_SY12 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[99]) ).
thf(103,plain,
( ( cQ @ sK5_SY12 @ sK6_SY14 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[100]) ).
thf(104,plain,
! [SV9: a] :
( ( ~ ! [SY29: a] :
( ~ ( sK7_Xp @ SV9 @ SY29 )
| ~ ( ~ ! [SY30: a] :
( ~ ( sK7_Xp @ SV9 @ SY30 )
| ( cQ @ SY29 @ SY30 ) )
| ~ ! [SY31: a] :
( ~ ( cQ @ SY29 @ SY31 )
| ( sK7_Xp @ SV9 @ SY31 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[101]) ).
thf(105,plain,
! [SV9: a] :
( ( ~ ( sK7_Xp @ SV9 @ ( sK8_SY18 @ SV9 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[101]) ).
thf(106,plain,
! [SV9: a] :
( ( ! [SY29: a] :
( ~ ( sK7_Xp @ SV9 @ SY29 )
| ~ ( ~ ! [SY30: a] :
( ~ ( sK7_Xp @ SV9 @ SY30 )
| ( cQ @ SY29 @ SY30 ) )
| ~ ! [SY31: a] :
( ~ ( cQ @ SY29 @ SY31 )
| ( sK7_Xp @ SV9 @ SY31 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[104]) ).
thf(107,plain,
! [SV9: a] :
( ( sK7_Xp @ SV9 @ ( sK8_SY18 @ SV9 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[105]) ).
thf(108,plain,
! [SV10: a,SV9: a] :
( ( ~ ( sK7_Xp @ SV9 @ SV10 )
| ~ ( ~ ! [SY32: a] :
( ~ ( sK7_Xp @ SV9 @ SY32 )
| ( cQ @ SV10 @ SY32 ) )
| ~ ! [SY33: a] :
( ~ ( cQ @ SV10 @ SY33 )
| ( sK7_Xp @ SV9 @ SY33 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[106]) ).
thf(109,plain,
! [SV10: a,SV9: a] :
( ( ( ~ ( sK7_Xp @ SV9 @ SV10 ) )
= $true )
| ( ( ~ ( ~ ! [SY32: a] :
( ~ ( sK7_Xp @ SV9 @ SY32 )
| ( cQ @ SV10 @ SY32 ) )
| ~ ! [SY33: a] :
( ~ ( cQ @ SV10 @ SY33 )
| ( sK7_Xp @ SV9 @ SY33 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[108]) ).
thf(110,plain,
! [SV10: a,SV9: a] :
( ( ( sK7_Xp @ SV9 @ SV10 )
= $false )
| ( ( ~ ( ~ ! [SY32: a] :
( ~ ( sK7_Xp @ SV9 @ SY32 )
| ( cQ @ SV10 @ SY32 ) )
| ~ ! [SY33: a] :
( ~ ( cQ @ SV10 @ SY33 )
| ( sK7_Xp @ SV9 @ SY33 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[109]) ).
thf(111,plain,
! [SV10: a,SV9: a] :
( ( ( ~ ! [SY32: a] :
( ~ ( sK7_Xp @ SV9 @ SY32 )
| ( cQ @ SV10 @ SY32 ) )
| ~ ! [SY33: a] :
( ~ ( cQ @ SV10 @ SY33 )
| ( sK7_Xp @ SV9 @ SY33 ) ) )
= $false )
| ( ( sK7_Xp @ SV9 @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[110]) ).
thf(112,plain,
! [SV10: a,SV9: a] :
( ( ( ~ ! [SY32: a] :
( ~ ( sK7_Xp @ SV9 @ SY32 )
| ( cQ @ SV10 @ SY32 ) ) )
= $false )
| ( ( sK7_Xp @ SV9 @ SV10 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[111]) ).
thf(113,plain,
! [SV9: a,SV10: a] :
( ( ( ~ ! [SY33: a] :
( ~ ( cQ @ SV10 @ SY33 )
| ( sK7_Xp @ SV9 @ SY33 ) ) )
= $false )
| ( ( sK7_Xp @ SV9 @ SV10 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[111]) ).
thf(114,plain,
! [SV10: a,SV9: a] :
( ( ( ! [SY32: a] :
( ~ ( sK7_Xp @ SV9 @ SY32 )
| ( cQ @ SV10 @ SY32 ) ) )
= $true )
| ( ( sK7_Xp @ SV9 @ SV10 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[112]) ).
thf(115,plain,
! [SV9: a,SV10: a] :
( ( ( ! [SY33: a] :
( ~ ( cQ @ SV10 @ SY33 )
| ( sK7_Xp @ SV9 @ SY33 ) ) )
= $true )
| ( ( sK7_Xp @ SV9 @ SV10 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[113]) ).
thf(116,plain,
! [SV10: a,SV11: a,SV9: a] :
( ( ( ~ ( sK7_Xp @ SV9 @ SV11 )
| ( cQ @ SV10 @ SV11 ) )
= $true )
| ( ( sK7_Xp @ SV9 @ SV10 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[114]) ).
thf(117,plain,
! [SV9: a,SV12: a,SV10: a] :
( ( ( ~ ( cQ @ SV10 @ SV12 )
| ( sK7_Xp @ SV9 @ SV12 ) )
= $true )
| ( ( sK7_Xp @ SV9 @ SV10 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[115]) ).
thf(118,plain,
! [SV10: a,SV11: a,SV9: a] :
( ( ( ~ ( sK7_Xp @ SV9 @ SV11 ) )
= $true )
| ( ( cQ @ SV10 @ SV11 )
= $true )
| ( ( sK7_Xp @ SV9 @ SV10 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[116]) ).
thf(119,plain,
! [SV9: a,SV12: a,SV10: a] :
( ( ( ~ ( cQ @ SV10 @ SV12 ) )
= $true )
| ( ( sK7_Xp @ SV9 @ SV12 )
= $true )
| ( ( sK7_Xp @ SV9 @ SV10 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[117]) ).
thf(120,plain,
! [SV10: a,SV11: a,SV9: a] :
( ( ( sK7_Xp @ SV9 @ SV11 )
= $false )
| ( ( cQ @ SV10 @ SV11 )
= $true )
| ( ( sK7_Xp @ SV9 @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[118]) ).
thf(121,plain,
! [SV9: a,SV12: a,SV10: a] :
( ( ( cQ @ SV10 @ SV12 )
= $false )
| ( ( sK7_Xp @ SV9 @ SV12 )
= $true )
| ( ( sK7_Xp @ SV9 @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[119]) ).
thf(122,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[96,121,120,107,103,102,98]) ).
thf(123,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[122,45,81]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : SEV019^5 : TPTP v8.1.0. Released v4.0.0.
% 0.00/0.08 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.07/0.27 % Computer : n032.cluster.edu
% 0.07/0.27 % Model : x86_64 x86_64
% 0.07/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.27 % Memory : 8042.1875MB
% 0.07/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.27 % CPULimit : 300
% 0.07/0.27 % WCLimit : 600
% 0.07/0.27 % DateTime : Tue Jun 28 15:03:42 EDT 2022
% 0.07/0.27 % CPUTime :
% 0.12/0.27
% 0.12/0.27 No.of.Axioms: 0
% 0.12/0.27
% 0.12/0.27 Length.of.Defs: 0
% 0.12/0.27
% 0.12/0.27 Contains.Choice.Funs: false
% 0.12/0.27 (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).......
% 0.12/0.34
% 0.12/0.34 ********************************
% 0.12/0.34 * All subproblems solved! *
% 0.12/0.34 ********************************
% 0.12/0.34 % SZS status Theorem for /export/starexec/sandbox2/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:122,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.12/0.34
% 0.12/0.34 %**** Beginning of derivation protocol ****
% 0.12/0.34 % SZS output start CNFRefutation
% See solution above
% 0.12/0.34
% 0.12/0.34 %**** End of derivation protocol ****
% 0.12/0.34 %**** no. of clauses in derivation: 123 ****
% 0.12/0.34 %**** clause counter: 122 ****
% 0.12/0.34
% 0.12/0.34 % SZS status Theorem for /export/starexec/sandbox2/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:122,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------