TSTP Solution File: SEV122^5 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SEV122^5 : 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 : n008.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 17:35:11 EDT 2022
% Result : Theorem 0.18s 0.45s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 46
% Number of leaves : 19
% Syntax : Number of formulae : 159 ( 23 unt; 18 typ; 0 def)
% Number of atoms : 1256 ( 455 equ; 0 cnn)
% Maximal formula atoms : 6 ( 8 avg)
% Number of connectives : 3209 ( 878 ~; 611 |; 14 &;1678 @)
% ( 0 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 795 ( 795 >; 0 *; 0 +; 0 <<)
% Number of symbols : 20 ( 17 usr; 4 con; 0-5 aty)
% Number of variables : 754 ( 46 ^ 694 !; 14 ?; 754 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a,type,
a: $tType ).
thf(tp_sK10_SY86,type,
sK10_SY86: ( a > a > $o ) > a > a > $o ).
thf(tp_sK11_SY71,type,
sK11_SY71: ( a > a > $o ) > a > a > a > a > $o ).
thf(tp_sK12_SY93,type,
sK12_SY93: ( a > a > $o ) > ( a > a > $o ) > a ).
thf(tp_sK13_SY108,type,
sK13_SY108: ( a > a > $o ) > ( a > a > $o ) > a ).
thf(tp_sK14_SY99,type,
sK14_SY99: ( a > a > $o ) > ( a > a > $o ) > a ).
thf(tp_sK15_SY111,type,
sK15_SY111: ( a > a > $o ) > ( a > a > $o ) > a ).
thf(tp_sK16_SY110,type,
sK16_SY110: ( a > a > $o ) > ( a > a > $o ) > a > a > $o ).
thf(tp_sK17_SY113,type,
sK17_SY113: ( a > a > $o ) > ( a > a > $o ) > a > a > $o ).
thf(tp_sK1_PROP,type,
sK1_PROP: ( a > a > $o ) > $o ).
thf(tp_sK2_SY14,type,
sK2_SY14: ( a > a > $o ) > $o ).
thf(tp_sK3_SV1,type,
sK3_SV1: a ).
thf(tp_sK4_SV2,type,
sK4_SV2: a ).
thf(tp_sK5_SY67,type,
sK5_SY67: a > a > $o ).
thf(tp_sK6_SY71,type,
sK6_SY71: a > a > $o ).
thf(tp_sK7_SY75,type,
sK7_SY75: ( a > a > $o ) > a ).
thf(tp_sK8_SY84,type,
sK8_SY84: ( a > a > $o ) > a ).
thf(tp_sK9_SY71,type,
sK9_SY71: a > a > $o ).
thf(1,conjecture,
! [PROP: ( a > a > $o ) > $o,F: ( a > a > $o ) > $o] :
( ( ^ [Xx: a,Xy: a] :
! [Xp: a > a > $o] :
( ( ! [Xx0: a,Xy0: a] :
( ? [R: a > a > $o] : ( R @ Xx0 @ Xy0 )
=> ( Xp @ Xx0 @ Xy0 ) )
& ( PROP @ Xp ) )
=> ( Xp @ Xx @ Xy ) ) )
= ( ^ [Xx: a,Xy: a] :
! [Xp: a > a > $o] :
( ( ! [Xx0: a,Xy0: a] :
( ? [R: a > a > $o] : ( R @ Xx0 @ Xy0 )
=> ( Xp @ Xx0 @ Xy0 ) )
& ( PROP @ Xp ) )
=> ( Xp @ Xx @ Xy ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM530_pme) ).
thf(2,negated_conjecture,
( ( ! [PROP: ( a > a > $o ) > $o,F: ( a > a > $o ) > $o] :
( ( ^ [Xx: a,Xy: a] :
! [Xp: a > a > $o] :
( ( ! [Xx0: a,Xy0: a] :
( ? [R: a > a > $o] : ( R @ Xx0 @ Xy0 )
=> ( Xp @ Xx0 @ Xy0 ) )
& ( PROP @ Xp ) )
=> ( Xp @ Xx @ Xy ) ) )
= ( ^ [Xx: a,Xy: a] :
! [Xp: a > a > $o] :
( ( ! [Xx0: a,Xy0: a] :
( ? [R: a > a > $o] : ( R @ Xx0 @ Xy0 )
=> ( Xp @ Xx0 @ Xy0 ) )
& ( PROP @ Xp ) )
=> ( Xp @ Xx @ Xy ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ! [PROP: ( a > a > $o ) > $o,F: ( a > a > $o ) > $o] :
( ( ^ [Xx: a,Xy: a] :
! [Xp: a > a > $o] :
( ( ! [Xx0: a,Xy0: a] :
( ? [R: a > a > $o] : ( R @ Xx0 @ Xy0 )
=> ( Xp @ Xx0 @ Xy0 ) )
& ( PROP @ Xp ) )
=> ( Xp @ Xx @ Xy ) ) )
= ( ^ [Xx: a,Xy: a] :
! [Xp: a > a > $o] :
( ( ! [Xx0: a,Xy0: a] :
( ? [R: a > a > $o] : ( R @ Xx0 @ Xy0 )
=> ( Xp @ Xx0 @ Xy0 ) )
& ( PROP @ Xp ) )
=> ( Xp @ Xx @ Xy ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ! [SY14: ( a > a > $o ) > $o] :
( ( ^ [SY15: a,SY16: a] :
! [SY17: a > a > $o] :
( ( ! [Xx0: a,Xy0: a] :
( ? [R: a > a > $o] : ( R @ Xx0 @ Xy0 )
=> ( SY17 @ Xx0 @ Xy0 ) )
& ( sK1_PROP @ SY17 ) )
=> ( SY17 @ SY15 @ SY16 ) ) )
= ( ^ [SY21: a,SY22: a] :
! [SY23: a > a > $o] :
( ( ! [Xx0: a,Xy0: a] :
( ? [R: a > a > $o] : ( R @ Xx0 @ Xy0 )
=> ( SY23 @ Xx0 @ Xy0 ) )
& ( sK1_PROP @ SY23 ) )
=> ( SY23 @ SY21 @ SY22 ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[3]) ).
thf(5,plain,
( ( ( ^ [SY15: a,SY16: a] :
! [SY17: a > a > $o] :
( ( ! [Xx0: a,Xy0: a] :
( ? [R: a > a > $o] : ( R @ Xx0 @ Xy0 )
=> ( SY17 @ Xx0 @ Xy0 ) )
& ( sK1_PROP @ SY17 ) )
=> ( SY17 @ SY15 @ SY16 ) ) )
= ( ^ [SY21: a,SY22: a] :
! [SY23: a > a > $o] :
( ( ! [Xx0: a,Xy0: a] :
( ? [R: a > a > $o] : ( R @ Xx0 @ Xy0 )
=> ( SY23 @ Xx0 @ Xy0 ) )
& ( sK1_PROP @ SY23 ) )
=> ( SY23 @ SY21 @ SY22 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[4]) ).
thf(6,plain,
( ( ( ( ^ [SY15: a,SY16: a] :
! [SY17: a > a > $o] :
( ( ! [Xx0: a,Xy0: a] :
( ? [R: a > a > $o] : ( R @ Xx0 @ Xy0 )
=> ( SY17 @ Xx0 @ Xy0 ) )
& ( sK1_PROP @ SY17 ) )
=> ( SY17 @ SY15 @ SY16 ) ) )
!= ( ^ [SY21: a,SY22: a] :
! [SY23: a > a > $o] :
( ( ! [Xx0: a,Xy0: a] :
( ? [R: a > a > $o] : ( R @ Xx0 @ Xy0 )
=> ( SY23 @ Xx0 @ Xy0 ) )
& ( sK1_PROP @ SY23 ) )
=> ( SY23 @ SY21 @ SY22 ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[5]) ).
thf(7,plain,
( ( ( ( ^ [SY15: a,SY16: a] :
! [SY17: a > a > $o] :
( ( ! [Xx0: a,Xy0: a] :
( ? [R: a > a > $o] : ( R @ Xx0 @ Xy0 )
=> ( SY17 @ Xx0 @ Xy0 ) )
& ( sK1_PROP @ SY17 ) )
=> ( SY17 @ SY15 @ SY16 ) ) )
!= ( ^ [SY21: a,SY22: a] :
! [SY23: a > a > $o] :
( ( ! [Xx0: a,Xy0: a] :
( ? [R: a > a > $o] : ( R @ Xx0 @ Xy0 )
=> ( SY23 @ Xx0 @ Xy0 ) )
& ( sK1_PROP @ SY23 ) )
=> ( SY23 @ SY21 @ SY22 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[6]) ).
thf(8,plain,
( ( ( ( ^ [SX0: a,SX1: a] :
! [SX2: a > a > $o] :
( ~ ~ ( ~ ! [SX3: a,SX4: a] :
( ~ ~ ! [SX5: a > a > $o] :
~ ( SX5 @ SX3 @ SX4 )
| ( SX2 @ SX3 @ SX4 ) )
| ~ ( sK1_PROP @ SX2 ) )
| ( SX2 @ SX0 @ SX1 ) ) )
!= ( ^ [SX0: a,SX1: a] :
! [SX2: a > a > $o] :
( ~ ~ ( ~ ! [SX3: a,SX4: a] :
( ~ ~ ! [SX5: a > a > $o] :
~ ( SX5 @ SX3 @ SX4 )
| ( SX2 @ SX3 @ SX4 ) )
| ~ ( sK1_PROP @ SX2 ) )
| ( SX2 @ SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(9,plain,
( ( ( ^ [SX0: a,SX1: a] :
! [SX2: a > a > $o] :
( ~ ~ ( ~ ! [SX3: a,SX4: a] :
( ~ ~ ! [SX5: a > a > $o] :
~ ( SX5 @ SX3 @ SX4 )
| ( SX2 @ SX3 @ SX4 ) )
| ~ ( sK1_PROP @ SX2 ) )
| ( SX2 @ SX0 @ SX1 ) ) )
= ( ^ [SX0: a,SX1: a] :
! [SX2: a > a > $o] :
( ~ ~ ( ~ ! [SX3: a,SX4: a] :
( ~ ~ ! [SX5: a > a > $o] :
~ ( SX5 @ SX3 @ SX4 )
| ( SX2 @ SX3 @ SX4 ) )
| ~ ( sK1_PROP @ SX2 ) )
| ( SX2 @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[8]) ).
thf(10,plain,
( ( ! [SV1: a] :
( ( ^ [SY39: a] :
! [SY40: a > a > $o] :
( ~ ~ ( ~ ! [SX3: a,SX4: a] :
( ~ ~ ! [SX5: a > a > $o] :
~ ( SX5 @ SX3 @ SX4 )
| ( SY40 @ SX3 @ SX4 ) )
| ~ ( sK1_PROP @ SY40 ) )
| ( SY40 @ SV1 @ SY39 ) ) )
= ( ^ [SY44: a] :
! [SY45: a > a > $o] :
( ~ ~ ( ~ ! [SX3: a,SX4: a] :
( ~ ~ ! [SX5: a > a > $o] :
~ ( SX5 @ SX3 @ SX4 )
| ( SY45 @ SX3 @ SX4 ) )
| ~ ( sK1_PROP @ SY45 ) )
| ( SY45 @ SV1 @ SY44 ) ) ) ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[9]) ).
thf(11,plain,
( ( ( ^ [SX0: a,SX1: a] :
! [SX2: a > a > $o] :
( ~ ~ ( ~ ! [SX3: a,SX4: a] :
( ~ ~ ! [SX5: a > a > $o] :
~ ( SX5 @ SX3 @ SX4 )
| ( SX2 @ SX3 @ SX4 ) )
| ~ ( sK1_PROP @ SX2 ) )
| ( SX2 @ SX0 @ SX1 ) ) )
= ( ^ [SX0: a,SX1: a] :
! [SX2: a > a > $o] :
( ~ ~ ( ~ ! [SX3: a,SX4: a] :
( ~ ~ ! [SX5: a > a > $o] :
~ ( SX5 @ SX3 @ SX4 )
| ( SX2 @ SX3 @ SX4 ) )
| ~ ( sK1_PROP @ SX2 ) )
| ( SX2 @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[9]) ).
thf(12,plain,
( ( ( ^ [SY49: a] :
! [SY50: a > a > $o] :
( ~ ~ ( ~ ! [SX3: a,SX4: a] :
( ~ ~ ! [SX5: a > a > $o] :
~ ( SX5 @ SX3 @ SX4 )
| ( SY50 @ SX3 @ SX4 ) )
| ~ ( sK1_PROP @ SY50 ) )
| ( SY50 @ sK3_SV1 @ SY49 ) ) )
= ( ^ [SY54: a] :
! [SY55: a > a > $o] :
( ~ ~ ( ~ ! [SX3: a,SX4: a] :
( ~ ~ ! [SX5: a > a > $o] :
~ ( SX5 @ SX3 @ SX4 )
| ( SY55 @ SX3 @ SX4 ) )
| ~ ( sK1_PROP @ SY55 ) )
| ( SY55 @ sK3_SV1 @ SY54 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[10]) ).
thf(13,plain,
( ( ! [SV2: a] :
( ( ! [SY59: a > a > $o] :
( ~ ~ ( ~ ! [SX3: a,SX4: a] :
( ~ ~ ! [SX5: a > a > $o] :
~ ( SX5 @ SX3 @ SX4 )
| ( SY59 @ SX3 @ SX4 ) )
| ~ ( sK1_PROP @ SY59 ) )
| ( SY59 @ sK3_SV1 @ SV2 ) ) )
= ( ! [SY63: a > a > $o] :
( ~ ~ ( ~ ! [SX3: a,SX4: a] :
( ~ ~ ! [SX5: a > a > $o] :
~ ( SX5 @ SX3 @ SX4 )
| ( SY63 @ SX3 @ SX4 ) )
| ~ ( sK1_PROP @ SY63 ) )
| ( SY63 @ sK3_SV1 @ SV2 ) ) ) ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[12]) ).
thf(14,plain,
( ( ( ^ [SY49: a] :
! [SY50: a > a > $o] :
( ~ ~ ( ~ ! [SX3: a,SX4: a] :
( ~ ~ ! [SX5: a > a > $o] :
~ ( SX5 @ SX3 @ SX4 )
| ( SY50 @ SX3 @ SX4 ) )
| ~ ( sK1_PROP @ SY50 ) )
| ( SY50 @ sK3_SV1 @ SY49 ) ) )
= ( ^ [SY54: a] :
! [SY55: a > a > $o] :
( ~ ~ ( ~ ! [SX3: a,SX4: a] :
( ~ ~ ! [SX5: a > a > $o] :
~ ( SX5 @ SX3 @ SX4 )
| ( SY55 @ SX3 @ SX4 ) )
| ~ ( sK1_PROP @ SY55 ) )
| ( SY55 @ sK3_SV1 @ SY54 ) ) ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[12]) ).
thf(15,plain,
( ( ( ! [SY67: a > a > $o] :
( ~ ~ ( ~ ! [SX3: a,SX4: a] :
( ~ ~ ! [SX5: a > a > $o] :
~ ( SX5 @ SX3 @ SX4 )
| ( SY67 @ SX3 @ SX4 ) )
| ~ ( sK1_PROP @ SY67 ) )
| ( SY67 @ sK3_SV1 @ sK4_SV2 ) ) )
= ( ! [SY71: a > a > $o] :
( ~ ~ ( ~ ! [SX3: a,SX4: a] :
( ~ ~ ! [SX5: a > a > $o] :
~ ( SX5 @ SX3 @ SX4 )
| ( SY71 @ SX3 @ SX4 ) )
| ~ ( sK1_PROP @ SY71 ) )
| ( SY71 @ sK3_SV1 @ sK4_SV2 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[13]) ).
thf(16,plain,
( ( ~ ( ! [SY67: a > a > $o] :
( ~ ~ ( ~ ! [SX3: a,SX4: a] :
( ~ ~ ! [SX5: a > a > $o] :
~ ( SX5 @ SX3 @ SX4 )
| ( SY67 @ SX3 @ SX4 ) )
| ~ ( sK1_PROP @ SY67 ) )
| ( SY67 @ sK3_SV1 @ sK4_SV2 ) )
| ! [SY71: a > a > $o] :
( ~ ~ ( ~ ! [SX3: a,SX4: a] :
( ~ ~ ! [SX5: a > a > $o] :
~ ( SX5 @ SX3 @ SX4 )
| ( SY71 @ SX3 @ SX4 ) )
| ~ ( sK1_PROP @ SY71 ) )
| ( SY71 @ sK3_SV1 @ sK4_SV2 ) ) )
| ~ ( ~ ! [SY67: a > a > $o] :
( ~ ~ ( ~ ! [SX3: a,SX4: a] :
( ~ ~ ! [SX5: a > a > $o] :
~ ( SX5 @ SX3 @ SX4 )
| ( SY67 @ SX3 @ SX4 ) )
| ~ ( sK1_PROP @ SY67 ) )
| ( SY67 @ sK3_SV1 @ sK4_SV2 ) )
| ~ ! [SY71: a > a > $o] :
( ~ ~ ( ~ ! [SX3: a,SX4: a] :
( ~ ~ ! [SX5: a > a > $o] :
~ ( SX5 @ SX3 @ SX4 )
| ( SY71 @ SX3 @ SX4 ) )
| ~ ( sK1_PROP @ SY71 ) )
| ( SY71 @ sK3_SV1 @ sK4_SV2 ) ) ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[15]) ).
thf(17,plain,
( ( ( ! [SY67: a > a > $o] :
( ~ ~ ( ~ ! [SX3: a,SX4: a] :
( ~ ~ ! [SX5: a > a > $o] :
~ ( SX5 @ SX3 @ SX4 )
| ( SY67 @ SX3 @ SX4 ) )
| ~ ( sK1_PROP @ SY67 ) )
| ( SY67 @ sK3_SV1 @ sK4_SV2 ) ) )
= ( ! [SY71: a > a > $o] :
( ~ ~ ( ~ ! [SX3: a,SX4: a] :
( ~ ~ ! [SX5: a > a > $o] :
~ ( SX5 @ SX3 @ SX4 )
| ( SY71 @ SX3 @ SX4 ) )
| ~ ( sK1_PROP @ SY71 ) )
| ( SY71 @ sK3_SV1 @ sK4_SV2 ) ) ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[15]) ).
thf(18,plain,
( ( ~ ( ! [SY67: a > a > $o] :
( ~ ~ ( ~ ! [SX3: a,SX4: a] :
( ~ ~ ! [SX5: a > a > $o] :
~ ( SX5 @ SX3 @ SX4 )
| ( SY67 @ SX3 @ SX4 ) )
| ~ ( sK1_PROP @ SY67 ) )
| ( SY67 @ sK3_SV1 @ sK4_SV2 ) )
| ! [SY71: a > a > $o] :
( ~ ~ ( ~ ! [SX3: a,SX4: a] :
( ~ ~ ! [SX5: a > a > $o] :
~ ( SX5 @ SX3 @ SX4 )
| ( SY71 @ SX3 @ SX4 ) )
| ~ ( sK1_PROP @ SY71 ) )
| ( SY71 @ sK3_SV1 @ sK4_SV2 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[16]) ).
thf(19,plain,
( ( ~ ( ~ ! [SY67: a > a > $o] :
( ~ ~ ( ~ ! [SX3: a,SX4: a] :
( ~ ~ ! [SX5: a > a > $o] :
~ ( SX5 @ SX3 @ SX4 )
| ( SY67 @ SX3 @ SX4 ) )
| ~ ( sK1_PROP @ SY67 ) )
| ( SY67 @ sK3_SV1 @ sK4_SV2 ) )
| ~ ! [SY71: a > a > $o] :
( ~ ~ ( ~ ! [SX3: a,SX4: a] :
( ~ ~ ! [SX5: a > a > $o] :
~ ( SX5 @ SX3 @ SX4 )
| ( SY71 @ SX3 @ SX4 ) )
| ~ ( sK1_PROP @ SY71 ) )
| ( SY71 @ sK3_SV1 @ sK4_SV2 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[16]) ).
thf(20,plain,
( ( ! [SY67: a > a > $o] :
( ~ ~ ( ~ ! [SX3: a,SX4: a] :
( ~ ~ ! [SX5: a > a > $o] :
~ ( SX5 @ SX3 @ SX4 )
| ( SY67 @ SX3 @ SX4 ) )
| ~ ( sK1_PROP @ SY67 ) )
| ( SY67 @ sK3_SV1 @ sK4_SV2 ) )
| ! [SY71: a > a > $o] :
( ~ ~ ( ~ ! [SX3: a,SX4: a] :
( ~ ~ ! [SX5: a > a > $o] :
~ ( SX5 @ SX3 @ SX4 )
| ( SY71 @ SX3 @ SX4 ) )
| ~ ( sK1_PROP @ SY71 ) )
| ( SY71 @ sK3_SV1 @ sK4_SV2 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[18]) ).
thf(21,plain,
( ( ~ ! [SY67: a > a > $o] :
( ~ ~ ( ~ ! [SX3: a,SX4: a] :
( ~ ~ ! [SX5: a > a > $o] :
~ ( SX5 @ SX3 @ SX4 )
| ( SY67 @ SX3 @ SX4 ) )
| ~ ( sK1_PROP @ SY67 ) )
| ( SY67 @ sK3_SV1 @ sK4_SV2 ) )
| ~ ! [SY71: a > a > $o] :
( ~ ~ ( ~ ! [SX3: a,SX4: a] :
( ~ ~ ! [SX5: a > a > $o] :
~ ( SX5 @ SX3 @ SX4 )
| ( SY71 @ SX3 @ SX4 ) )
| ~ ( sK1_PROP @ SY71 ) )
| ( SY71 @ sK3_SV1 @ sK4_SV2 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[19]) ).
thf(22,plain,
( ( ( ! [SY67: a > a > $o] :
( ~ ~ ( ~ ! [SX3: a,SX4: a] :
( ~ ~ ! [SX5: a > a > $o] :
~ ( SX5 @ SX3 @ SX4 )
| ( SY67 @ SX3 @ SX4 ) )
| ~ ( sK1_PROP @ SY67 ) )
| ( SY67 @ sK3_SV1 @ sK4_SV2 ) ) )
= $true )
| ( ( ! [SY71: a > a > $o] :
( ~ ~ ( ~ ! [SX3: a,SX4: a] :
( ~ ~ ! [SX5: a > a > $o] :
~ ( SX5 @ SX3 @ SX4 )
| ( SY71 @ SX3 @ SX4 ) )
| ~ ( sK1_PROP @ SY71 ) )
| ( SY71 @ sK3_SV1 @ sK4_SV2 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[20]) ).
thf(23,plain,
( ( ( ~ ! [SY67: a > a > $o] :
( ~ ~ ( ~ ! [SX3: a,SX4: a] :
( ~ ~ ! [SX5: a > a > $o] :
~ ( SX5 @ SX3 @ SX4 )
| ( SY67 @ SX3 @ SX4 ) )
| ~ ( sK1_PROP @ SY67 ) )
| ( SY67 @ sK3_SV1 @ sK4_SV2 ) ) )
= $true )
| ( ( ~ ! [SY71: a > a > $o] :
( ~ ~ ( ~ ! [SX3: a,SX4: a] :
( ~ ~ ! [SX5: a > a > $o] :
~ ( SX5 @ SX3 @ SX4 )
| ( SY71 @ SX3 @ SX4 ) )
| ~ ( sK1_PROP @ SY71 ) )
| ( SY71 @ sK3_SV1 @ sK4_SV2 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[21]) ).
thf(24,plain,
! [SV3: a > a > $o] :
( ( ( ~ ~ ( ~ ! [SY75: a,SY76: a] :
( ~ ~ ! [SX5: a > a > $o] :
~ ( SX5 @ SY75 @ SY76 )
| ( SV3 @ SY75 @ SY76 ) )
| ~ ( sK1_PROP @ SV3 ) )
| ( SV3 @ sK3_SV1 @ sK4_SV2 ) )
= $true )
| ( ( ! [SY71: a > a > $o] :
( ~ ~ ( ~ ! [SX3: a,SX4: a] :
( ~ ~ ! [SX5: a > a > $o] :
~ ( SX5 @ SX3 @ SX4 )
| ( SY71 @ SX3 @ SX4 ) )
| ~ ( sK1_PROP @ SY71 ) )
| ( SY71 @ sK3_SV1 @ sK4_SV2 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[22]) ).
thf(25,plain,
( ( ( ! [SY67: a > a > $o] :
( ~ ~ ( ~ ! [SX3: a,SX4: a] :
( ~ ~ ! [SX5: a > a > $o] :
~ ( SX5 @ SX3 @ SX4 )
| ( SY67 @ SX3 @ SX4 ) )
| ~ ( sK1_PROP @ SY67 ) )
| ( SY67 @ sK3_SV1 @ sK4_SV2 ) ) )
= $false )
| ( ( ~ ! [SY71: a > a > $o] :
( ~ ~ ( ~ ! [SX3: a,SX4: a] :
( ~ ~ ! [SX5: a > a > $o] :
~ ( SX5 @ SX3 @ SX4 )
| ( SY71 @ SX3 @ SX4 ) )
| ~ ( sK1_PROP @ SY71 ) )
| ( SY71 @ sK3_SV1 @ sK4_SV2 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[23]) ).
thf(26,plain,
! [SV3: a > a > $o] :
( ( ( ~ ~ ( ~ ! [SY75: a,SY76: a] :
( ~ ~ ! [SX5: a > a > $o] :
~ ( SX5 @ SY75 @ SY76 )
| ( SV3 @ SY75 @ SY76 ) )
| ~ ( sK1_PROP @ SV3 ) ) )
= $true )
| ( ( SV3 @ sK3_SV1 @ sK4_SV2 )
= $true )
| ( ( ! [SY71: a > a > $o] :
( ~ ~ ( ~ ! [SX3: a,SX4: a] :
( ~ ~ ! [SX5: a > a > $o] :
~ ( SX5 @ SX3 @ SX4 )
| ( SY71 @ SX3 @ SX4 ) )
| ~ ( sK1_PROP @ SY71 ) )
| ( SY71 @ sK3_SV1 @ sK4_SV2 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[24]) ).
thf(27,plain,
( ( ( ~ ~ ( ~ ! [SY78: a,SY79: a] :
( ~ ~ ! [SX5: a > a > $o] :
~ ( SX5 @ SY78 @ SY79 )
| ( sK5_SY67 @ SY78 @ SY79 ) )
| ~ ( sK1_PROP @ sK5_SY67 ) )
| ( sK5_SY67 @ sK3_SV1 @ sK4_SV2 ) )
= $false )
| ( ( ~ ! [SY71: a > a > $o] :
( ~ ~ ( ~ ! [SX3: a,SX4: a] :
( ~ ~ ! [SX5: a > a > $o] :
~ ( SX5 @ SX3 @ SX4 )
| ( SY71 @ SX3 @ SX4 ) )
| ~ ( sK1_PROP @ SY71 ) )
| ( SY71 @ sK3_SV1 @ sK4_SV2 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[25]) ).
thf(28,plain,
! [SV3: a > a > $o] :
( ( ( ~ ( ~ ! [SY75: a,SY76: a] :
( ~ ~ ! [SX5: a > a > $o] :
~ ( SX5 @ SY75 @ SY76 )
| ( SV3 @ SY75 @ SY76 ) )
| ~ ( sK1_PROP @ SV3 ) ) )
= $false )
| ( ( SV3 @ sK3_SV1 @ sK4_SV2 )
= $true )
| ( ( ! [SY71: a > a > $o] :
( ~ ~ ( ~ ! [SX3: a,SX4: a] :
( ~ ~ ! [SX5: a > a > $o] :
~ ( SX5 @ SX3 @ SX4 )
| ( SY71 @ SX3 @ SX4 ) )
| ~ ( sK1_PROP @ SY71 ) )
| ( SY71 @ sK3_SV1 @ sK4_SV2 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[26]) ).
thf(29,plain,
( ( ( ~ ~ ( ~ ! [SY78: a,SY79: a] :
( ~ ~ ! [SX5: a > a > $o] :
~ ( SX5 @ SY78 @ SY79 )
| ( sK5_SY67 @ SY78 @ SY79 ) )
| ~ ( sK1_PROP @ sK5_SY67 ) ) )
= $false )
| ( ( ~ ! [SY71: a > a > $o] :
( ~ ~ ( ~ ! [SX3: a,SX4: a] :
( ~ ~ ! [SX5: a > a > $o] :
~ ( SX5 @ SX3 @ SX4 )
| ( SY71 @ SX3 @ SX4 ) )
| ~ ( sK1_PROP @ SY71 ) )
| ( SY71 @ sK3_SV1 @ sK4_SV2 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[27]) ).
thf(30,plain,
( ( ( sK5_SY67 @ sK3_SV1 @ sK4_SV2 )
= $false )
| ( ( ~ ! [SY71: a > a > $o] :
( ~ ~ ( ~ ! [SX3: a,SX4: a] :
( ~ ~ ! [SX5: a > a > $o] :
~ ( SX5 @ SX3 @ SX4 )
| ( SY71 @ SX3 @ SX4 ) )
| ~ ( sK1_PROP @ SY71 ) )
| ( SY71 @ sK3_SV1 @ sK4_SV2 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[27]) ).
thf(31,plain,
! [SV3: a > a > $o] :
( ( ( ~ ! [SY75: a,SY76: a] :
( ~ ~ ! [SX5: a > a > $o] :
~ ( SX5 @ SY75 @ SY76 )
| ( SV3 @ SY75 @ SY76 ) )
| ~ ( sK1_PROP @ SV3 ) )
= $true )
| ( ( SV3 @ sK3_SV1 @ sK4_SV2 )
= $true )
| ( ( ! [SY71: a > a > $o] :
( ~ ~ ( ~ ! [SX3: a,SX4: a] :
( ~ ~ ! [SX5: a > a > $o] :
~ ( SX5 @ SX3 @ SX4 )
| ( SY71 @ SX3 @ SX4 ) )
| ~ ( sK1_PROP @ SY71 ) )
| ( SY71 @ sK3_SV1 @ sK4_SV2 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[28]) ).
thf(32,plain,
( ( ( ~ ( ~ ! [SY78: a,SY79: a] :
( ~ ~ ! [SX5: a > a > $o] :
~ ( SX5 @ SY78 @ SY79 )
| ( sK5_SY67 @ SY78 @ SY79 ) )
| ~ ( sK1_PROP @ sK5_SY67 ) ) )
= $true )
| ( ( ~ ! [SY71: a > a > $o] :
( ~ ~ ( ~ ! [SX3: a,SX4: a] :
( ~ ~ ! [SX5: a > a > $o] :
~ ( SX5 @ SX3 @ SX4 )
| ( SY71 @ SX3 @ SX4 ) )
| ~ ( sK1_PROP @ SY71 ) )
| ( SY71 @ sK3_SV1 @ sK4_SV2 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[29]) ).
thf(33,plain,
( ( ( ! [SY71: a > a > $o] :
( ~ ~ ( ~ ! [SX3: a,SX4: a] :
( ~ ~ ! [SX5: a > a > $o] :
~ ( SX5 @ SX3 @ SX4 )
| ( SY71 @ SX3 @ SX4 ) )
| ~ ( sK1_PROP @ SY71 ) )
| ( SY71 @ sK3_SV1 @ sK4_SV2 ) ) )
= $false )
| ( ( sK5_SY67 @ sK3_SV1 @ sK4_SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[30]) ).
thf(34,plain,
! [SV3: a > a > $o] :
( ( ( ~ ! [SY75: a,SY76: a] :
( ~ ~ ! [SX5: a > a > $o] :
~ ( SX5 @ SY75 @ SY76 )
| ( SV3 @ SY75 @ SY76 ) ) )
= $true )
| ( ( ~ ( sK1_PROP @ SV3 ) )
= $true )
| ( ( SV3 @ sK3_SV1 @ sK4_SV2 )
= $true )
| ( ( ! [SY71: a > a > $o] :
( ~ ~ ( ~ ! [SX3: a,SX4: a] :
( ~ ~ ! [SX5: a > a > $o] :
~ ( SX5 @ SX3 @ SX4 )
| ( SY71 @ SX3 @ SX4 ) )
| ~ ( sK1_PROP @ SY71 ) )
| ( SY71 @ sK3_SV1 @ sK4_SV2 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[31]) ).
thf(35,plain,
( ( ( ~ ! [SY78: a,SY79: a] :
( ~ ~ ! [SX5: a > a > $o] :
~ ( SX5 @ SY78 @ SY79 )
| ( sK5_SY67 @ SY78 @ SY79 ) )
| ~ ( sK1_PROP @ sK5_SY67 ) )
= $false )
| ( ( ~ ! [SY71: a > a > $o] :
( ~ ~ ( ~ ! [SX3: a,SX4: a] :
( ~ ~ ! [SX5: a > a > $o] :
~ ( SX5 @ SX3 @ SX4 )
| ( SY71 @ SX3 @ SX4 ) )
| ~ ( sK1_PROP @ SY71 ) )
| ( SY71 @ sK3_SV1 @ sK4_SV2 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[32]) ).
thf(36,plain,
( ( ( ~ ~ ( ~ ! [SY81: a,SY82: a] :
( ~ ~ ! [SX5: a > a > $o] :
~ ( SX5 @ SY81 @ SY82 )
| ( sK6_SY71 @ SY81 @ SY82 ) )
| ~ ( sK1_PROP @ sK6_SY71 ) )
| ( sK6_SY71 @ sK3_SV1 @ sK4_SV2 ) )
= $false )
| ( ( sK5_SY67 @ sK3_SV1 @ sK4_SV2 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[33]) ).
thf(37,plain,
! [SV3: a > a > $o] :
( ( ( ! [SY75: a,SY76: a] :
( ~ ~ ! [SX5: a > a > $o] :
~ ( SX5 @ SY75 @ SY76 )
| ( SV3 @ SY75 @ SY76 ) ) )
= $false )
| ( ( ~ ( sK1_PROP @ SV3 ) )
= $true )
| ( ( SV3 @ sK3_SV1 @ sK4_SV2 )
= $true )
| ( ( ! [SY71: a > a > $o] :
( ~ ~ ( ~ ! [SX3: a,SX4: a] :
( ~ ~ ! [SX5: a > a > $o] :
~ ( SX5 @ SX3 @ SX4 )
| ( SY71 @ SX3 @ SX4 ) )
| ~ ( sK1_PROP @ SY71 ) )
| ( SY71 @ sK3_SV1 @ sK4_SV2 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[34]) ).
thf(38,plain,
( ( ( ~ ! [SY78: a,SY79: a] :
( ~ ~ ! [SX5: a > a > $o] :
~ ( SX5 @ SY78 @ SY79 )
| ( sK5_SY67 @ SY78 @ SY79 ) ) )
= $false )
| ( ( ~ ! [SY71: a > a > $o] :
( ~ ~ ( ~ ! [SX3: a,SX4: a] :
( ~ ~ ! [SX5: a > a > $o] :
~ ( SX5 @ SX3 @ SX4 )
| ( SY71 @ SX3 @ SX4 ) )
| ~ ( sK1_PROP @ SY71 ) )
| ( SY71 @ sK3_SV1 @ sK4_SV2 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[35]) ).
thf(39,plain,
( ( ( ~ ( sK1_PROP @ sK5_SY67 ) )
= $false )
| ( ( ~ ! [SY71: a > a > $o] :
( ~ ~ ( ~ ! [SX3: a,SX4: a] :
( ~ ~ ! [SX5: a > a > $o] :
~ ( SX5 @ SX3 @ SX4 )
| ( SY71 @ SX3 @ SX4 ) )
| ~ ( sK1_PROP @ SY71 ) )
| ( SY71 @ sK3_SV1 @ sK4_SV2 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[35]) ).
thf(40,plain,
( ( ( ~ ~ ( ~ ! [SY81: a,SY82: a] :
( ~ ~ ! [SX5: a > a > $o] :
~ ( SX5 @ SY81 @ SY82 )
| ( sK6_SY71 @ SY81 @ SY82 ) )
| ~ ( sK1_PROP @ sK6_SY71 ) ) )
= $false )
| ( ( sK5_SY67 @ sK3_SV1 @ sK4_SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[36]) ).
thf(41,plain,
( ( ( sK6_SY71 @ sK3_SV1 @ sK4_SV2 )
= $false )
| ( ( sK5_SY67 @ sK3_SV1 @ sK4_SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[36]) ).
thf(42,plain,
! [SV3: a > a > $o] :
( ( ( ! [SY84: a] :
( ~ ~ ! [SY85: a > a > $o] :
~ ( SY85 @ ( sK7_SY75 @ SV3 ) @ SY84 )
| ( SV3 @ ( sK7_SY75 @ SV3 ) @ SY84 ) ) )
= $false )
| ( ( ~ ( sK1_PROP @ SV3 ) )
= $true )
| ( ( SV3 @ sK3_SV1 @ sK4_SV2 )
= $true )
| ( ( ! [SY71: a > a > $o] :
( ~ ~ ( ~ ! [SX3: a,SX4: a] :
( ~ ~ ! [SX5: a > a > $o] :
~ ( SX5 @ SX3 @ SX4 )
| ( SY71 @ SX3 @ SX4 ) )
| ~ ( sK1_PROP @ SY71 ) )
| ( SY71 @ sK3_SV1 @ sK4_SV2 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[37]) ).
thf(43,plain,
( ( ( ! [SY78: a,SY79: a] :
( ~ ~ ! [SX5: a > a > $o] :
~ ( SX5 @ SY78 @ SY79 )
| ( sK5_SY67 @ SY78 @ SY79 ) ) )
= $true )
| ( ( ~ ! [SY71: a > a > $o] :
( ~ ~ ( ~ ! [SX3: a,SX4: a] :
( ~ ~ ! [SX5: a > a > $o] :
~ ( SX5 @ SX3 @ SX4 )
| ( SY71 @ SX3 @ SX4 ) )
| ~ ( sK1_PROP @ SY71 ) )
| ( SY71 @ sK3_SV1 @ sK4_SV2 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[38]) ).
thf(44,plain,
( ( ( sK1_PROP @ sK5_SY67 )
= $true )
| ( ( ~ ! [SY71: a > a > $o] :
( ~ ~ ( ~ ! [SX3: a,SX4: a] :
( ~ ~ ! [SX5: a > a > $o] :
~ ( SX5 @ SX3 @ SX4 )
| ( SY71 @ SX3 @ SX4 ) )
| ~ ( sK1_PROP @ SY71 ) )
| ( SY71 @ sK3_SV1 @ sK4_SV2 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[39]) ).
thf(45,plain,
( ( ( ~ ( ~ ! [SY81: a,SY82: a] :
( ~ ~ ! [SX5: a > a > $o] :
~ ( SX5 @ SY81 @ SY82 )
| ( sK6_SY71 @ SY81 @ SY82 ) )
| ~ ( sK1_PROP @ sK6_SY71 ) ) )
= $true )
| ( ( sK5_SY67 @ sK3_SV1 @ sK4_SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[40]) ).
thf(46,plain,
! [SV3: a > a > $o] :
( ( ( ~ ~ ! [SY86: a > a > $o] :
~ ( SY86 @ ( sK7_SY75 @ SV3 ) @ ( sK8_SY84 @ SV3 ) )
| ( SV3 @ ( sK7_SY75 @ SV3 ) @ ( sK8_SY84 @ SV3 ) ) )
= $false )
| ( ( ~ ( sK1_PROP @ SV3 ) )
= $true )
| ( ( SV3 @ sK3_SV1 @ sK4_SV2 )
= $true )
| ( ( ! [SY71: a > a > $o] :
( ~ ~ ( ~ ! [SX3: a,SX4: a] :
( ~ ~ ! [SX5: a > a > $o] :
~ ( SX5 @ SX3 @ SX4 )
| ( SY71 @ SX3 @ SX4 ) )
| ~ ( sK1_PROP @ SY71 ) )
| ( SY71 @ sK3_SV1 @ sK4_SV2 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[42]) ).
thf(47,plain,
! [SV4: a] :
( ( ( ! [SY87: a] :
( ~ ~ ! [SY88: a > a > $o] :
~ ( SY88 @ SV4 @ SY87 )
| ( sK5_SY67 @ SV4 @ SY87 ) ) )
= $true )
| ( ( ~ ! [SY71: a > a > $o] :
( ~ ~ ( ~ ! [SX3: a,SX4: a] :
( ~ ~ ! [SX5: a > a > $o] :
~ ( SX5 @ SX3 @ SX4 )
| ( SY71 @ SX3 @ SX4 ) )
| ~ ( sK1_PROP @ SY71 ) )
| ( SY71 @ sK3_SV1 @ sK4_SV2 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[43]) ).
thf(48,plain,
( ( ( ! [SY71: a > a > $o] :
( ~ ~ ( ~ ! [SX3: a,SX4: a] :
( ~ ~ ! [SX5: a > a > $o] :
~ ( SX5 @ SX3 @ SX4 )
| ( SY71 @ SX3 @ SX4 ) )
| ~ ( sK1_PROP @ SY71 ) )
| ( SY71 @ sK3_SV1 @ sK4_SV2 ) ) )
= $false )
| ( ( sK1_PROP @ sK5_SY67 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[44]) ).
thf(49,plain,
( ( ( ~ ! [SY81: a,SY82: a] :
( ~ ~ ! [SX5: a > a > $o] :
~ ( SX5 @ SY81 @ SY82 )
| ( sK6_SY71 @ SY81 @ SY82 ) )
| ~ ( sK1_PROP @ sK6_SY71 ) )
= $false )
| ( ( sK5_SY67 @ sK3_SV1 @ sK4_SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[45]) ).
thf(50,plain,
! [SV3: a > a > $o] :
( ( ( ~ ~ ! [SY86: a > a > $o] :
~ ( SY86 @ ( sK7_SY75 @ SV3 ) @ ( sK8_SY84 @ SV3 ) ) )
= $false )
| ( ( ~ ( sK1_PROP @ SV3 ) )
= $true )
| ( ( SV3 @ sK3_SV1 @ sK4_SV2 )
= $true )
| ( ( ! [SY71: a > a > $o] :
( ~ ~ ( ~ ! [SX3: a,SX4: a] :
( ~ ~ ! [SX5: a > a > $o] :
~ ( SX5 @ SX3 @ SX4 )
| ( SY71 @ SX3 @ SX4 ) )
| ~ ( sK1_PROP @ SY71 ) )
| ( SY71 @ sK3_SV1 @ sK4_SV2 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[46]) ).
thf(51,plain,
! [SV3: a > a > $o] :
( ( ( SV3 @ ( sK7_SY75 @ SV3 ) @ ( sK8_SY84 @ SV3 ) )
= $false )
| ( ( ~ ( sK1_PROP @ SV3 ) )
= $true )
| ( ( SV3 @ sK3_SV1 @ sK4_SV2 )
= $true )
| ( ( ! [SY71: a > a > $o] :
( ~ ~ ( ~ ! [SX3: a,SX4: a] :
( ~ ~ ! [SX5: a > a > $o] :
~ ( SX5 @ SX3 @ SX4 )
| ( SY71 @ SX3 @ SX4 ) )
| ~ ( sK1_PROP @ SY71 ) )
| ( SY71 @ sK3_SV1 @ sK4_SV2 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[46]) ).
thf(52,plain,
! [SV5: a,SV4: a] :
( ( ( ~ ~ ! [SY89: a > a > $o] :
~ ( SY89 @ SV4 @ SV5 )
| ( sK5_SY67 @ SV4 @ SV5 ) )
= $true )
| ( ( ~ ! [SY71: a > a > $o] :
( ~ ~ ( ~ ! [SX3: a,SX4: a] :
( ~ ~ ! [SX5: a > a > $o] :
~ ( SX5 @ SX3 @ SX4 )
| ( SY71 @ SX3 @ SX4 ) )
| ~ ( sK1_PROP @ SY71 ) )
| ( SY71 @ sK3_SV1 @ sK4_SV2 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[47]) ).
thf(53,plain,
( ( ( ~ ~ ( ~ ! [SY90: a,SY91: a] :
( ~ ~ ! [SX5: a > a > $o] :
~ ( SX5 @ SY90 @ SY91 )
| ( sK9_SY71 @ SY90 @ SY91 ) )
| ~ ( sK1_PROP @ sK9_SY71 ) )
| ( sK9_SY71 @ sK3_SV1 @ sK4_SV2 ) )
= $false )
| ( ( sK1_PROP @ sK5_SY67 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[48]) ).
thf(54,plain,
( ( ( ~ ! [SY81: a,SY82: a] :
( ~ ~ ! [SX5: a > a > $o] :
~ ( SX5 @ SY81 @ SY82 )
| ( sK6_SY71 @ SY81 @ SY82 ) ) )
= $false )
| ( ( sK5_SY67 @ sK3_SV1 @ sK4_SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[49]) ).
thf(55,plain,
( ( ( ~ ( sK1_PROP @ sK6_SY71 ) )
= $false )
| ( ( sK5_SY67 @ sK3_SV1 @ sK4_SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[49]) ).
thf(56,plain,
! [SV3: a > a > $o] :
( ( ( ~ ! [SY86: a > a > $o] :
~ ( SY86 @ ( sK7_SY75 @ SV3 ) @ ( sK8_SY84 @ SV3 ) ) )
= $true )
| ( ( ~ ( sK1_PROP @ SV3 ) )
= $true )
| ( ( SV3 @ sK3_SV1 @ sK4_SV2 )
= $true )
| ( ( ! [SY71: a > a > $o] :
( ~ ~ ( ~ ! [SX3: a,SX4: a] :
( ~ ~ ! [SX5: a > a > $o] :
~ ( SX5 @ SX3 @ SX4 )
| ( SY71 @ SX3 @ SX4 ) )
| ~ ( sK1_PROP @ SY71 ) )
| ( SY71 @ sK3_SV1 @ sK4_SV2 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[50]) ).
thf(57,plain,
! [SV3: a > a > $o] :
( ( ( sK1_PROP @ SV3 )
= $false )
| ( ( SV3 @ ( sK7_SY75 @ SV3 ) @ ( sK8_SY84 @ SV3 ) )
= $false )
| ( ( SV3 @ sK3_SV1 @ sK4_SV2 )
= $true )
| ( ( ! [SY71: a > a > $o] :
( ~ ~ ( ~ ! [SX3: a,SX4: a] :
( ~ ~ ! [SX5: a > a > $o] :
~ ( SX5 @ SX3 @ SX4 )
| ( SY71 @ SX3 @ SX4 ) )
| ~ ( sK1_PROP @ SY71 ) )
| ( SY71 @ sK3_SV1 @ sK4_SV2 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[51]) ).
thf(58,plain,
! [SV5: a,SV4: a] :
( ( ( ~ ~ ! [SY89: a > a > $o] :
~ ( SY89 @ SV4 @ SV5 ) )
= $true )
| ( ( sK5_SY67 @ SV4 @ SV5 )
= $true )
| ( ( ~ ! [SY71: a > a > $o] :
( ~ ~ ( ~ ! [SX3: a,SX4: a] :
( ~ ~ ! [SX5: a > a > $o] :
~ ( SX5 @ SX3 @ SX4 )
| ( SY71 @ SX3 @ SX4 ) )
| ~ ( sK1_PROP @ SY71 ) )
| ( SY71 @ sK3_SV1 @ sK4_SV2 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[52]) ).
thf(59,plain,
( ( ( ~ ~ ( ~ ! [SY90: a,SY91: a] :
( ~ ~ ! [SX5: a > a > $o] :
~ ( SX5 @ SY90 @ SY91 )
| ( sK9_SY71 @ SY90 @ SY91 ) )
| ~ ( sK1_PROP @ sK9_SY71 ) ) )
= $false )
| ( ( sK1_PROP @ sK5_SY67 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[53]) ).
thf(60,plain,
( ( ( sK9_SY71 @ sK3_SV1 @ sK4_SV2 )
= $false )
| ( ( sK1_PROP @ sK5_SY67 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[53]) ).
thf(61,plain,
( ( ( ! [SY81: a,SY82: a] :
( ~ ~ ! [SX5: a > a > $o] :
~ ( SX5 @ SY81 @ SY82 )
| ( sK6_SY71 @ SY81 @ SY82 ) ) )
= $true )
| ( ( sK5_SY67 @ sK3_SV1 @ sK4_SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[54]) ).
thf(62,plain,
( ( ( sK1_PROP @ sK6_SY71 )
= $true )
| ( ( sK5_SY67 @ sK3_SV1 @ sK4_SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[55]) ).
thf(63,plain,
! [SV3: a > a > $o] :
( ( ( ! [SY86: a > a > $o] :
~ ( SY86 @ ( sK7_SY75 @ SV3 ) @ ( sK8_SY84 @ SV3 ) ) )
= $false )
| ( ( ~ ( sK1_PROP @ SV3 ) )
= $true )
| ( ( SV3 @ sK3_SV1 @ sK4_SV2 )
= $true )
| ( ( ! [SY71: a > a > $o] :
( ~ ~ ( ~ ! [SX3: a,SX4: a] :
( ~ ~ ! [SX5: a > a > $o] :
~ ( SX5 @ SX3 @ SX4 )
| ( SY71 @ SX3 @ SX4 ) )
| ~ ( sK1_PROP @ SY71 ) )
| ( SY71 @ sK3_SV1 @ sK4_SV2 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[56]) ).
thf(64,plain,
! [SV3: a > a > $o,SV6: a > a > $o] :
( ( ( ~ ~ ( ~ ! [SY93: a,SY94: a] :
( ~ ~ ! [SX5: a > a > $o] :
~ ( SX5 @ SY93 @ SY94 )
| ( SV6 @ SY93 @ SY94 ) )
| ~ ( sK1_PROP @ SV6 ) )
| ( SV6 @ sK3_SV1 @ sK4_SV2 ) )
= $true )
| ( ( SV3 @ sK3_SV1 @ sK4_SV2 )
= $true )
| ( ( SV3 @ ( sK7_SY75 @ SV3 ) @ ( sK8_SY84 @ SV3 ) )
= $false )
| ( ( sK1_PROP @ SV3 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[57]) ).
thf(65,plain,
! [SV5: a,SV4: a] :
( ( ( ~ ! [SY89: a > a > $o] :
~ ( SY89 @ SV4 @ SV5 ) )
= $false )
| ( ( sK5_SY67 @ SV4 @ SV5 )
= $true )
| ( ( ~ ! [SY71: a > a > $o] :
( ~ ~ ( ~ ! [SX3: a,SX4: a] :
( ~ ~ ! [SX5: a > a > $o] :
~ ( SX5 @ SX3 @ SX4 )
| ( SY71 @ SX3 @ SX4 ) )
| ~ ( sK1_PROP @ SY71 ) )
| ( SY71 @ sK3_SV1 @ sK4_SV2 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[58]) ).
thf(66,plain,
( ( ( ~ ( ~ ! [SY90: a,SY91: a] :
( ~ ~ ! [SX5: a > a > $o] :
~ ( SX5 @ SY90 @ SY91 )
| ( sK9_SY71 @ SY90 @ SY91 ) )
| ~ ( sK1_PROP @ sK9_SY71 ) ) )
= $true )
| ( ( sK1_PROP @ sK5_SY67 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[59]) ).
thf(67,plain,
! [SV7: a] :
( ( ( ! [SY96: a] :
( ~ ~ ! [SY97: a > a > $o] :
~ ( SY97 @ SV7 @ SY96 )
| ( sK6_SY71 @ SV7 @ SY96 ) ) )
= $true )
| ( ( sK5_SY67 @ sK3_SV1 @ sK4_SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[61]) ).
thf(68,plain,
! [SV3: a > a > $o] :
( ( ( ~ ( sK10_SY86 @ SV3 @ ( sK7_SY75 @ SV3 ) @ ( sK8_SY84 @ SV3 ) ) )
= $false )
| ( ( ~ ( sK1_PROP @ SV3 ) )
= $true )
| ( ( SV3 @ sK3_SV1 @ sK4_SV2 )
= $true )
| ( ( ! [SY71: a > a > $o] :
( ~ ~ ( ~ ! [SX3: a,SX4: a] :
( ~ ~ ! [SX5: a > a > $o] :
~ ( SX5 @ SX3 @ SX4 )
| ( SY71 @ SX3 @ SX4 ) )
| ~ ( sK1_PROP @ SY71 ) )
| ( SY71 @ sK3_SV1 @ sK4_SV2 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[63]) ).
thf(69,plain,
! [SV3: a > a > $o,SV6: a > a > $o] :
( ( ( ~ ~ ( ~ ! [SY93: a,SY94: a] :
( ~ ~ ! [SX5: a > a > $o] :
~ ( SX5 @ SY93 @ SY94 )
| ( SV6 @ SY93 @ SY94 ) )
| ~ ( sK1_PROP @ SV6 ) ) )
= $true )
| ( ( SV6 @ sK3_SV1 @ sK4_SV2 )
= $true )
| ( ( SV3 @ sK3_SV1 @ sK4_SV2 )
= $true )
| ( ( SV3 @ ( sK7_SY75 @ SV3 ) @ ( sK8_SY84 @ SV3 ) )
= $false )
| ( ( sK1_PROP @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[64]) ).
thf(70,plain,
! [SV5: a,SV4: a] :
( ( ( ! [SY89: a > a > $o] :
~ ( SY89 @ SV4 @ SV5 ) )
= $true )
| ( ( sK5_SY67 @ SV4 @ SV5 )
= $true )
| ( ( ~ ! [SY71: a > a > $o] :
( ~ ~ ( ~ ! [SX3: a,SX4: a] :
( ~ ~ ! [SX5: a > a > $o] :
~ ( SX5 @ SX3 @ SX4 )
| ( SY71 @ SX3 @ SX4 ) )
| ~ ( sK1_PROP @ SY71 ) )
| ( SY71 @ sK3_SV1 @ sK4_SV2 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[65]) ).
thf(71,plain,
( ( ( ~ ! [SY90: a,SY91: a] :
( ~ ~ ! [SX5: a > a > $o] :
~ ( SX5 @ SY90 @ SY91 )
| ( sK9_SY71 @ SY90 @ SY91 ) )
| ~ ( sK1_PROP @ sK9_SY71 ) )
= $false )
| ( ( sK1_PROP @ sK5_SY67 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[66]) ).
thf(72,plain,
! [SV8: a,SV7: a] :
( ( ( ~ ~ ! [SY98: a > a > $o] :
~ ( SY98 @ SV7 @ SV8 )
| ( sK6_SY71 @ SV7 @ SV8 ) )
= $true )
| ( ( sK5_SY67 @ sK3_SV1 @ sK4_SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[67]) ).
thf(73,plain,
! [SV3: a > a > $o] :
( ( ( sK10_SY86 @ SV3 @ ( sK7_SY75 @ SV3 ) @ ( sK8_SY84 @ SV3 ) )
= $true )
| ( ( ~ ( sK1_PROP @ SV3 ) )
= $true )
| ( ( SV3 @ sK3_SV1 @ sK4_SV2 )
= $true )
| ( ( ! [SY71: a > a > $o] :
( ~ ~ ( ~ ! [SX3: a,SX4: a] :
( ~ ~ ! [SX5: a > a > $o] :
~ ( SX5 @ SX3 @ SX4 )
| ( SY71 @ SX3 @ SX4 ) )
| ~ ( sK1_PROP @ SY71 ) )
| ( SY71 @ sK3_SV1 @ sK4_SV2 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[68]) ).
thf(74,plain,
! [SV3: a > a > $o,SV6: a > a > $o] :
( ( ( ~ ( ~ ! [SY93: a,SY94: a] :
( ~ ~ ! [SX5: a > a > $o] :
~ ( SX5 @ SY93 @ SY94 )
| ( SV6 @ SY93 @ SY94 ) )
| ~ ( sK1_PROP @ SV6 ) ) )
= $false )
| ( ( SV6 @ sK3_SV1 @ sK4_SV2 )
= $true )
| ( ( SV3 @ sK3_SV1 @ sK4_SV2 )
= $true )
| ( ( SV3 @ ( sK7_SY75 @ SV3 ) @ ( sK8_SY84 @ SV3 ) )
= $false )
| ( ( sK1_PROP @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[69]) ).
thf(75,plain,
! [SV5: a,SV4: a,SV9: a > a > $o] :
( ( ( ~ ( SV9 @ SV4 @ SV5 ) )
= $true )
| ( ( sK5_SY67 @ SV4 @ SV5 )
= $true )
| ( ( ~ ! [SY71: a > a > $o] :
( ~ ~ ( ~ ! [SX3: a,SX4: a] :
( ~ ~ ! [SX5: a > a > $o] :
~ ( SX5 @ SX3 @ SX4 )
| ( SY71 @ SX3 @ SX4 ) )
| ~ ( sK1_PROP @ SY71 ) )
| ( SY71 @ sK3_SV1 @ sK4_SV2 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[70]) ).
thf(76,plain,
( ( ( ~ ! [SY90: a,SY91: a] :
( ~ ~ ! [SX5: a > a > $o] :
~ ( SX5 @ SY90 @ SY91 )
| ( sK9_SY71 @ SY90 @ SY91 ) ) )
= $false )
| ( ( sK1_PROP @ sK5_SY67 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[71]) ).
thf(77,plain,
( ( ( ~ ( sK1_PROP @ sK9_SY71 ) )
= $false )
| ( ( sK1_PROP @ sK5_SY67 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[71]) ).
thf(78,plain,
! [SV8: a,SV7: a] :
( ( ( ~ ~ ! [SY98: a > a > $o] :
~ ( SY98 @ SV7 @ SV8 ) )
= $true )
| ( ( sK6_SY71 @ SV7 @ SV8 )
= $true )
| ( ( sK5_SY67 @ sK3_SV1 @ sK4_SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[72]) ).
thf(79,plain,
! [SV3: a > a > $o] :
( ( ( sK1_PROP @ SV3 )
= $false )
| ( ( sK10_SY86 @ SV3 @ ( sK7_SY75 @ SV3 ) @ ( sK8_SY84 @ SV3 ) )
= $true )
| ( ( SV3 @ sK3_SV1 @ sK4_SV2 )
= $true )
| ( ( ! [SY71: a > a > $o] :
( ~ ~ ( ~ ! [SX3: a,SX4: a] :
( ~ ~ ! [SX5: a > a > $o] :
~ ( SX5 @ SX3 @ SX4 )
| ( SY71 @ SX3 @ SX4 ) )
| ~ ( sK1_PROP @ SY71 ) )
| ( SY71 @ sK3_SV1 @ sK4_SV2 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[73]) ).
thf(80,plain,
! [SV3: a > a > $o,SV6: a > a > $o] :
( ( ( ~ ! [SY93: a,SY94: a] :
( ~ ~ ! [SX5: a > a > $o] :
~ ( SX5 @ SY93 @ SY94 )
| ( SV6 @ SY93 @ SY94 ) )
| ~ ( sK1_PROP @ SV6 ) )
= $true )
| ( ( SV6 @ sK3_SV1 @ sK4_SV2 )
= $true )
| ( ( SV3 @ sK3_SV1 @ sK4_SV2 )
= $true )
| ( ( SV3 @ ( sK7_SY75 @ SV3 ) @ ( sK8_SY84 @ SV3 ) )
= $false )
| ( ( sK1_PROP @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[74]) ).
thf(81,plain,
! [SV5: a,SV4: a,SV9: a > a > $o] :
( ( ( SV9 @ SV4 @ SV5 )
= $false )
| ( ( sK5_SY67 @ SV4 @ SV5 )
= $true )
| ( ( ~ ! [SY71: a > a > $o] :
( ~ ~ ( ~ ! [SX3: a,SX4: a] :
( ~ ~ ! [SX5: a > a > $o] :
~ ( SX5 @ SX3 @ SX4 )
| ( SY71 @ SX3 @ SX4 ) )
| ~ ( sK1_PROP @ SY71 ) )
| ( SY71 @ sK3_SV1 @ sK4_SV2 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[75]) ).
thf(82,plain,
( ( ( ! [SY90: a,SY91: a] :
( ~ ~ ! [SX5: a > a > $o] :
~ ( SX5 @ SY90 @ SY91 )
| ( sK9_SY71 @ SY90 @ SY91 ) ) )
= $true )
| ( ( sK1_PROP @ sK5_SY67 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[76]) ).
thf(83,plain,
( ( ( sK1_PROP @ sK9_SY71 )
= $true )
| ( ( sK1_PROP @ sK5_SY67 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[77]) ).
thf(84,plain,
! [SV8: a,SV7: a] :
( ( ( ~ ! [SY98: a > a > $o] :
~ ( SY98 @ SV7 @ SV8 ) )
= $false )
| ( ( sK6_SY71 @ SV7 @ SV8 )
= $true )
| ( ( sK5_SY67 @ sK3_SV1 @ sK4_SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[78]) ).
thf(85,plain,
! [SV3: a > a > $o,SV10: a > a > $o] :
( ( ( ~ ~ ( ~ ! [SY99: a,SY100: a] :
( ~ ~ ! [SX5: a > a > $o] :
~ ( SX5 @ SY99 @ SY100 )
| ( SV10 @ SY99 @ SY100 ) )
| ~ ( sK1_PROP @ SV10 ) )
| ( SV10 @ sK3_SV1 @ sK4_SV2 ) )
= $true )
| ( ( SV3 @ sK3_SV1 @ sK4_SV2 )
= $true )
| ( ( sK10_SY86 @ SV3 @ ( sK7_SY75 @ SV3 ) @ ( sK8_SY84 @ SV3 ) )
= $true )
| ( ( sK1_PROP @ SV3 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[79]) ).
thf(86,plain,
! [SV3: a > a > $o,SV6: a > a > $o] :
( ( ( ~ ! [SY93: a,SY94: a] :
( ~ ~ ! [SX5: a > a > $o] :
~ ( SX5 @ SY93 @ SY94 )
| ( SV6 @ SY93 @ SY94 ) ) )
= $true )
| ( ( ~ ( sK1_PROP @ SV6 ) )
= $true )
| ( ( SV6 @ sK3_SV1 @ sK4_SV2 )
= $true )
| ( ( SV3 @ sK3_SV1 @ sK4_SV2 )
= $true )
| ( ( SV3 @ ( sK7_SY75 @ SV3 ) @ ( sK8_SY84 @ SV3 ) )
= $false )
| ( ( sK1_PROP @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[80]) ).
thf(87,plain,
! [SV9: a > a > $o,SV5: a,SV4: a] :
( ( ( ! [SY71: a > a > $o] :
( ~ ~ ( ~ ! [SX3: a,SX4: a] :
( ~ ~ ! [SX5: a > a > $o] :
~ ( SX5 @ SX3 @ SX4 )
| ( SY71 @ SX3 @ SX4 ) )
| ~ ( sK1_PROP @ SY71 ) )
| ( SY71 @ sK3_SV1 @ sK4_SV2 ) ) )
= $false )
| ( ( sK5_SY67 @ SV4 @ SV5 )
= $true )
| ( ( SV9 @ SV4 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[81]) ).
thf(88,plain,
! [SV11: a] :
( ( ( ! [SY102: a] :
( ~ ~ ! [SY103: a > a > $o] :
~ ( SY103 @ SV11 @ SY102 )
| ( sK9_SY71 @ SV11 @ SY102 ) ) )
= $true )
| ( ( sK1_PROP @ sK5_SY67 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[82]) ).
thf(89,plain,
! [SV8: a,SV7: a] :
( ( ( ! [SY98: a > a > $o] :
~ ( SY98 @ SV7 @ SV8 ) )
= $true )
| ( ( sK6_SY71 @ SV7 @ SV8 )
= $true )
| ( ( sK5_SY67 @ sK3_SV1 @ sK4_SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[84]) ).
thf(90,plain,
! [SV3: a > a > $o,SV10: a > a > $o] :
( ( ( ~ ~ ( ~ ! [SY99: a,SY100: a] :
( ~ ~ ! [SX5: a > a > $o] :
~ ( SX5 @ SY99 @ SY100 )
| ( SV10 @ SY99 @ SY100 ) )
| ~ ( sK1_PROP @ SV10 ) ) )
= $true )
| ( ( SV10 @ sK3_SV1 @ sK4_SV2 )
= $true )
| ( ( SV3 @ sK3_SV1 @ sK4_SV2 )
= $true )
| ( ( sK10_SY86 @ SV3 @ ( sK7_SY75 @ SV3 ) @ ( sK8_SY84 @ SV3 ) )
= $true )
| ( ( sK1_PROP @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[85]) ).
thf(91,plain,
! [SV3: a > a > $o,SV6: a > a > $o] :
( ( ( ! [SY93: a,SY94: a] :
( ~ ~ ! [SX5: a > a > $o] :
~ ( SX5 @ SY93 @ SY94 )
| ( SV6 @ SY93 @ SY94 ) ) )
= $false )
| ( ( ~ ( sK1_PROP @ SV6 ) )
= $true )
| ( ( SV6 @ sK3_SV1 @ sK4_SV2 )
= $true )
| ( ( SV3 @ sK3_SV1 @ sK4_SV2 )
= $true )
| ( ( SV3 @ ( sK7_SY75 @ SV3 ) @ ( sK8_SY84 @ SV3 ) )
= $false )
| ( ( sK1_PROP @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[86]) ).
thf(92,plain,
! [SV4: a,SV5: a,SV9: a > a > $o] :
( ( ( ~ ~ ( ~ ! [SY104: a,SY105: a] :
( ~ ~ ! [SX5: a > a > $o] :
~ ( SX5 @ SY104 @ SY105 )
| ( sK11_SY71 @ SV9 @ SV5 @ SV4 @ SY104 @ SY105 ) )
| ~ ( sK1_PROP @ ( sK11_SY71 @ SV9 @ SV5 @ SV4 ) ) )
| ( sK11_SY71 @ SV9 @ SV5 @ SV4 @ sK3_SV1 @ sK4_SV2 ) )
= $false )
| ( ( sK5_SY67 @ SV4 @ SV5 )
= $true )
| ( ( SV9 @ SV4 @ SV5 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[87]) ).
thf(93,plain,
! [SV12: a,SV11: a] :
( ( ( ~ ~ ! [SY107: a > a > $o] :
~ ( SY107 @ SV11 @ SV12 )
| ( sK9_SY71 @ SV11 @ SV12 ) )
= $true )
| ( ( sK1_PROP @ sK5_SY67 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[88]) ).
thf(94,plain,
! [SV8: a,SV7: a,SV13: a > a > $o] :
( ( ( ~ ( SV13 @ SV7 @ SV8 ) )
= $true )
| ( ( sK6_SY71 @ SV7 @ SV8 )
= $true )
| ( ( sK5_SY67 @ sK3_SV1 @ sK4_SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[89]) ).
thf(95,plain,
! [SV3: a > a > $o,SV10: a > a > $o] :
( ( ( ~ ( ~ ! [SY99: a,SY100: a] :
( ~ ~ ! [SX5: a > a > $o] :
~ ( SX5 @ SY99 @ SY100 )
| ( SV10 @ SY99 @ SY100 ) )
| ~ ( sK1_PROP @ SV10 ) ) )
= $false )
| ( ( SV10 @ sK3_SV1 @ sK4_SV2 )
= $true )
| ( ( SV3 @ sK3_SV1 @ sK4_SV2 )
= $true )
| ( ( sK10_SY86 @ SV3 @ ( sK7_SY75 @ SV3 ) @ ( sK8_SY84 @ SV3 ) )
= $true )
| ( ( sK1_PROP @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[90]) ).
thf(96,plain,
! [SV6: a > a > $o,SV3: a > a > $o] :
( ( ( ! [SY108: a] :
( ~ ~ ! [SY109: a > a > $o] :
~ ( SY109 @ ( sK12_SY93 @ SV3 @ SV6 ) @ SY108 )
| ( SV6 @ ( sK12_SY93 @ SV3 @ SV6 ) @ SY108 ) ) )
= $false )
| ( ( ~ ( sK1_PROP @ SV6 ) )
= $true )
| ( ( SV6 @ sK3_SV1 @ sK4_SV2 )
= $true )
| ( ( SV3 @ sK3_SV1 @ sK4_SV2 )
= $true )
| ( ( SV3 @ ( sK7_SY75 @ SV3 ) @ ( sK8_SY84 @ SV3 ) )
= $false )
| ( ( sK1_PROP @ SV3 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[91]) ).
thf(97,plain,
! [SV4: a,SV5: a,SV9: a > a > $o] :
( ( ( ~ ~ ( ~ ! [SY104: a,SY105: a] :
( ~ ~ ! [SX5: a > a > $o] :
~ ( SX5 @ SY104 @ SY105 )
| ( sK11_SY71 @ SV9 @ SV5 @ SV4 @ SY104 @ SY105 ) )
| ~ ( sK1_PROP @ ( sK11_SY71 @ SV9 @ SV5 @ SV4 ) ) ) )
= $false )
| ( ( sK5_SY67 @ SV4 @ SV5 )
= $true )
| ( ( SV9 @ SV4 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[92]) ).
thf(98,plain,
! [SV4: a,SV5: a,SV9: a > a > $o] :
( ( ( sK11_SY71 @ SV9 @ SV5 @ SV4 @ sK3_SV1 @ sK4_SV2 )
= $false )
| ( ( sK5_SY67 @ SV4 @ SV5 )
= $true )
| ( ( SV9 @ SV4 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[92]) ).
thf(99,plain,
! [SV12: a,SV11: a] :
( ( ( ~ ~ ! [SY107: a > a > $o] :
~ ( SY107 @ SV11 @ SV12 ) )
= $true )
| ( ( sK9_SY71 @ SV11 @ SV12 )
= $true )
| ( ( sK1_PROP @ sK5_SY67 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[93]) ).
thf(100,plain,
! [SV8: a,SV7: a,SV13: a > a > $o] :
( ( ( SV13 @ SV7 @ SV8 )
= $false )
| ( ( sK6_SY71 @ SV7 @ SV8 )
= $true )
| ( ( sK5_SY67 @ sK3_SV1 @ sK4_SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[94]) ).
thf(101,plain,
! [SV3: a > a > $o,SV10: a > a > $o] :
( ( ( ~ ! [SY99: a,SY100: a] :
( ~ ~ ! [SX5: a > a > $o] :
~ ( SX5 @ SY99 @ SY100 )
| ( SV10 @ SY99 @ SY100 ) )
| ~ ( sK1_PROP @ SV10 ) )
= $true )
| ( ( SV10 @ sK3_SV1 @ sK4_SV2 )
= $true )
| ( ( SV3 @ sK3_SV1 @ sK4_SV2 )
= $true )
| ( ( sK10_SY86 @ SV3 @ ( sK7_SY75 @ SV3 ) @ ( sK8_SY84 @ SV3 ) )
= $true )
| ( ( sK1_PROP @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[95]) ).
thf(102,plain,
! [SV6: a > a > $o,SV3: a > a > $o] :
( ( ( ~ ~ ! [SY110: a > a > $o] :
~ ( SY110 @ ( sK12_SY93 @ SV3 @ SV6 ) @ ( sK13_SY108 @ SV6 @ SV3 ) )
| ( SV6 @ ( sK12_SY93 @ SV3 @ SV6 ) @ ( sK13_SY108 @ SV6 @ SV3 ) ) )
= $false )
| ( ( ~ ( sK1_PROP @ SV6 ) )
= $true )
| ( ( SV6 @ sK3_SV1 @ sK4_SV2 )
= $true )
| ( ( SV3 @ sK3_SV1 @ sK4_SV2 )
= $true )
| ( ( SV3 @ ( sK7_SY75 @ SV3 ) @ ( sK8_SY84 @ SV3 ) )
= $false )
| ( ( sK1_PROP @ SV3 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[96]) ).
thf(103,plain,
! [SV4: a,SV5: a,SV9: a > a > $o] :
( ( ( ~ ( ~ ! [SY104: a,SY105: a] :
( ~ ~ ! [SX5: a > a > $o] :
~ ( SX5 @ SY104 @ SY105 )
| ( sK11_SY71 @ SV9 @ SV5 @ SV4 @ SY104 @ SY105 ) )
| ~ ( sK1_PROP @ ( sK11_SY71 @ SV9 @ SV5 @ SV4 ) ) ) )
= $true )
| ( ( sK5_SY67 @ SV4 @ SV5 )
= $true )
| ( ( SV9 @ SV4 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[97]) ).
thf(104,plain,
! [SV12: a,SV11: a] :
( ( ( ~ ! [SY107: a > a > $o] :
~ ( SY107 @ SV11 @ SV12 ) )
= $false )
| ( ( sK9_SY71 @ SV11 @ SV12 )
= $true )
| ( ( sK1_PROP @ sK5_SY67 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[99]) ).
thf(105,plain,
! [SV3: a > a > $o,SV10: a > a > $o] :
( ( ( ~ ! [SY99: a,SY100: a] :
( ~ ~ ! [SX5: a > a > $o] :
~ ( SX5 @ SY99 @ SY100 )
| ( SV10 @ SY99 @ SY100 ) ) )
= $true )
| ( ( ~ ( sK1_PROP @ SV10 ) )
= $true )
| ( ( SV10 @ sK3_SV1 @ sK4_SV2 )
= $true )
| ( ( SV3 @ sK3_SV1 @ sK4_SV2 )
= $true )
| ( ( sK10_SY86 @ SV3 @ ( sK7_SY75 @ SV3 ) @ ( sK8_SY84 @ SV3 ) )
= $true )
| ( ( sK1_PROP @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[101]) ).
thf(106,plain,
! [SV6: a > a > $o,SV3: a > a > $o] :
( ( ( ~ ~ ! [SY110: a > a > $o] :
~ ( SY110 @ ( sK12_SY93 @ SV3 @ SV6 ) @ ( sK13_SY108 @ SV6 @ SV3 ) ) )
= $false )
| ( ( ~ ( sK1_PROP @ SV6 ) )
= $true )
| ( ( SV6 @ sK3_SV1 @ sK4_SV2 )
= $true )
| ( ( SV3 @ sK3_SV1 @ sK4_SV2 )
= $true )
| ( ( SV3 @ ( sK7_SY75 @ SV3 ) @ ( sK8_SY84 @ SV3 ) )
= $false )
| ( ( sK1_PROP @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[102]) ).
thf(107,plain,
! [SV3: a > a > $o,SV6: a > a > $o] :
( ( ( SV6 @ ( sK12_SY93 @ SV3 @ SV6 ) @ ( sK13_SY108 @ SV6 @ SV3 ) )
= $false )
| ( ( ~ ( sK1_PROP @ SV6 ) )
= $true )
| ( ( SV6 @ sK3_SV1 @ sK4_SV2 )
= $true )
| ( ( SV3 @ sK3_SV1 @ sK4_SV2 )
= $true )
| ( ( SV3 @ ( sK7_SY75 @ SV3 ) @ ( sK8_SY84 @ SV3 ) )
= $false )
| ( ( sK1_PROP @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[102]) ).
thf(108,plain,
! [SV4: a,SV5: a,SV9: a > a > $o] :
( ( ( ~ ! [SY104: a,SY105: a] :
( ~ ~ ! [SX5: a > a > $o] :
~ ( SX5 @ SY104 @ SY105 )
| ( sK11_SY71 @ SV9 @ SV5 @ SV4 @ SY104 @ SY105 ) )
| ~ ( sK1_PROP @ ( sK11_SY71 @ SV9 @ SV5 @ SV4 ) ) )
= $false )
| ( ( sK5_SY67 @ SV4 @ SV5 )
= $true )
| ( ( SV9 @ SV4 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[103]) ).
thf(109,plain,
! [SV12: a,SV11: a] :
( ( ( ! [SY107: a > a > $o] :
~ ( SY107 @ SV11 @ SV12 ) )
= $true )
| ( ( sK9_SY71 @ SV11 @ SV12 )
= $true )
| ( ( sK1_PROP @ sK5_SY67 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[104]) ).
thf(110,plain,
! [SV3: a > a > $o,SV10: a > a > $o] :
( ( ( ! [SY99: a,SY100: a] :
( ~ ~ ! [SX5: a > a > $o] :
~ ( SX5 @ SY99 @ SY100 )
| ( SV10 @ SY99 @ SY100 ) ) )
= $false )
| ( ( ~ ( sK1_PROP @ SV10 ) )
= $true )
| ( ( SV10 @ sK3_SV1 @ sK4_SV2 )
= $true )
| ( ( SV3 @ sK3_SV1 @ sK4_SV2 )
= $true )
| ( ( sK10_SY86 @ SV3 @ ( sK7_SY75 @ SV3 ) @ ( sK8_SY84 @ SV3 ) )
= $true )
| ( ( sK1_PROP @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[105]) ).
thf(111,plain,
! [SV6: a > a > $o,SV3: a > a > $o] :
( ( ( ~ ! [SY110: a > a > $o] :
~ ( SY110 @ ( sK12_SY93 @ SV3 @ SV6 ) @ ( sK13_SY108 @ SV6 @ SV3 ) ) )
= $true )
| ( ( ~ ( sK1_PROP @ SV6 ) )
= $true )
| ( ( SV6 @ sK3_SV1 @ sK4_SV2 )
= $true )
| ( ( SV3 @ sK3_SV1 @ sK4_SV2 )
= $true )
| ( ( SV3 @ ( sK7_SY75 @ SV3 ) @ ( sK8_SY84 @ SV3 ) )
= $false )
| ( ( sK1_PROP @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[106]) ).
thf(112,plain,
! [SV3: a > a > $o,SV6: a > a > $o] :
( ( ( sK1_PROP @ SV6 )
= $false )
| ( ( SV6 @ ( sK12_SY93 @ SV3 @ SV6 ) @ ( sK13_SY108 @ SV6 @ SV3 ) )
= $false )
| ( ( SV6 @ sK3_SV1 @ sK4_SV2 )
= $true )
| ( ( SV3 @ sK3_SV1 @ sK4_SV2 )
= $true )
| ( ( SV3 @ ( sK7_SY75 @ SV3 ) @ ( sK8_SY84 @ SV3 ) )
= $false )
| ( ( sK1_PROP @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[107]) ).
thf(113,plain,
! [SV4: a,SV5: a,SV9: a > a > $o] :
( ( ( ~ ! [SY104: a,SY105: a] :
( ~ ~ ! [SX5: a > a > $o] :
~ ( SX5 @ SY104 @ SY105 )
| ( sK11_SY71 @ SV9 @ SV5 @ SV4 @ SY104 @ SY105 ) ) )
= $false )
| ( ( sK5_SY67 @ SV4 @ SV5 )
= $true )
| ( ( SV9 @ SV4 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[108]) ).
thf(114,plain,
! [SV4: a,SV5: a,SV9: a > a > $o] :
( ( ( ~ ( sK1_PROP @ ( sK11_SY71 @ SV9 @ SV5 @ SV4 ) ) )
= $false )
| ( ( sK5_SY67 @ SV4 @ SV5 )
= $true )
| ( ( SV9 @ SV4 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[108]) ).
thf(115,plain,
! [SV12: a,SV11: a,SV14: a > a > $o] :
( ( ( ~ ( SV14 @ SV11 @ SV12 ) )
= $true )
| ( ( sK9_SY71 @ SV11 @ SV12 )
= $true )
| ( ( sK1_PROP @ sK5_SY67 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[109]) ).
thf(116,plain,
! [SV10: a > a > $o,SV3: a > a > $o] :
( ( ( ! [SY111: a] :
( ~ ~ ! [SY112: a > a > $o] :
~ ( SY112 @ ( sK14_SY99 @ SV3 @ SV10 ) @ SY111 )
| ( SV10 @ ( sK14_SY99 @ SV3 @ SV10 ) @ SY111 ) ) )
= $false )
| ( ( ~ ( sK1_PROP @ SV10 ) )
= $true )
| ( ( SV10 @ sK3_SV1 @ sK4_SV2 )
= $true )
| ( ( SV3 @ sK3_SV1 @ sK4_SV2 )
= $true )
| ( ( sK10_SY86 @ SV3 @ ( sK7_SY75 @ SV3 ) @ ( sK8_SY84 @ SV3 ) )
= $true )
| ( ( sK1_PROP @ SV3 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[110]) ).
thf(117,plain,
! [SV6: a > a > $o,SV3: a > a > $o] :
( ( ( ! [SY110: a > a > $o] :
~ ( SY110 @ ( sK12_SY93 @ SV3 @ SV6 ) @ ( sK13_SY108 @ SV6 @ SV3 ) ) )
= $false )
| ( ( ~ ( sK1_PROP @ SV6 ) )
= $true )
| ( ( SV6 @ sK3_SV1 @ sK4_SV2 )
= $true )
| ( ( SV3 @ sK3_SV1 @ sK4_SV2 )
= $true )
| ( ( SV3 @ ( sK7_SY75 @ SV3 ) @ ( sK8_SY84 @ SV3 ) )
= $false )
| ( ( sK1_PROP @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[111]) ).
thf(118,plain,
! [SV4: a,SV5: a,SV9: a > a > $o] :
( ( ( ! [SY104: a,SY105: a] :
( ~ ~ ! [SX5: a > a > $o] :
~ ( SX5 @ SY104 @ SY105 )
| ( sK11_SY71 @ SV9 @ SV5 @ SV4 @ SY104 @ SY105 ) ) )
= $true )
| ( ( sK5_SY67 @ SV4 @ SV5 )
= $true )
| ( ( SV9 @ SV4 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[113]) ).
thf(119,plain,
! [SV4: a,SV5: a,SV9: a > a > $o] :
( ( ( sK1_PROP @ ( sK11_SY71 @ SV9 @ SV5 @ SV4 ) )
= $true )
| ( ( sK5_SY67 @ SV4 @ SV5 )
= $true )
| ( ( SV9 @ SV4 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[114]) ).
thf(120,plain,
! [SV12: a,SV11: a,SV14: a > a > $o] :
( ( ( SV14 @ SV11 @ SV12 )
= $false )
| ( ( sK9_SY71 @ SV11 @ SV12 )
= $true )
| ( ( sK1_PROP @ sK5_SY67 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[115]) ).
thf(121,plain,
! [SV10: a > a > $o,SV3: a > a > $o] :
( ( ( ~ ~ ! [SY113: a > a > $o] :
~ ( SY113 @ ( sK14_SY99 @ SV3 @ SV10 ) @ ( sK15_SY111 @ SV10 @ SV3 ) )
| ( SV10 @ ( sK14_SY99 @ SV3 @ SV10 ) @ ( sK15_SY111 @ SV10 @ SV3 ) ) )
= $false )
| ( ( ~ ( sK1_PROP @ SV10 ) )
= $true )
| ( ( SV10 @ sK3_SV1 @ sK4_SV2 )
= $true )
| ( ( SV3 @ sK3_SV1 @ sK4_SV2 )
= $true )
| ( ( sK10_SY86 @ SV3 @ ( sK7_SY75 @ SV3 ) @ ( sK8_SY84 @ SV3 ) )
= $true )
| ( ( sK1_PROP @ SV3 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[116]) ).
thf(122,plain,
! [SV3: a > a > $o,SV6: a > a > $o] :
( ( ( ~ ( sK16_SY110 @ SV6 @ SV3 @ ( sK12_SY93 @ SV3 @ SV6 ) @ ( sK13_SY108 @ SV6 @ SV3 ) ) )
= $false )
| ( ( ~ ( sK1_PROP @ SV6 ) )
= $true )
| ( ( SV6 @ sK3_SV1 @ sK4_SV2 )
= $true )
| ( ( SV3 @ sK3_SV1 @ sK4_SV2 )
= $true )
| ( ( SV3 @ ( sK7_SY75 @ SV3 ) @ ( sK8_SY84 @ SV3 ) )
= $false )
| ( ( sK1_PROP @ SV3 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[117]) ).
thf(123,plain,
! [SV4: a,SV5: a,SV9: a > a > $o,SV15: a] :
( ( ( ! [SY114: a] :
( ~ ~ ! [SY115: a > a > $o] :
~ ( SY115 @ SV15 @ SY114 )
| ( sK11_SY71 @ SV9 @ SV5 @ SV4 @ SV15 @ SY114 ) ) )
= $true )
| ( ( sK5_SY67 @ SV4 @ SV5 )
= $true )
| ( ( SV9 @ SV4 @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[118]) ).
thf(124,plain,
! [SV10: a > a > $o,SV3: a > a > $o] :
( ( ( ~ ~ ! [SY113: a > a > $o] :
~ ( SY113 @ ( sK14_SY99 @ SV3 @ SV10 ) @ ( sK15_SY111 @ SV10 @ SV3 ) ) )
= $false )
| ( ( ~ ( sK1_PROP @ SV10 ) )
= $true )
| ( ( SV10 @ sK3_SV1 @ sK4_SV2 )
= $true )
| ( ( SV3 @ sK3_SV1 @ sK4_SV2 )
= $true )
| ( ( sK10_SY86 @ SV3 @ ( sK7_SY75 @ SV3 ) @ ( sK8_SY84 @ SV3 ) )
= $true )
| ( ( sK1_PROP @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[121]) ).
thf(125,plain,
! [SV3: a > a > $o,SV10: a > a > $o] :
( ( ( SV10 @ ( sK14_SY99 @ SV3 @ SV10 ) @ ( sK15_SY111 @ SV10 @ SV3 ) )
= $false )
| ( ( ~ ( sK1_PROP @ SV10 ) )
= $true )
| ( ( SV10 @ sK3_SV1 @ sK4_SV2 )
= $true )
| ( ( SV3 @ sK3_SV1 @ sK4_SV2 )
= $true )
| ( ( sK10_SY86 @ SV3 @ ( sK7_SY75 @ SV3 ) @ ( sK8_SY84 @ SV3 ) )
= $true )
| ( ( sK1_PROP @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[121]) ).
thf(126,plain,
! [SV3: a > a > $o,SV6: a > a > $o] :
( ( ( sK16_SY110 @ SV6 @ SV3 @ ( sK12_SY93 @ SV3 @ SV6 ) @ ( sK13_SY108 @ SV6 @ SV3 ) )
= $true )
| ( ( ~ ( sK1_PROP @ SV6 ) )
= $true )
| ( ( SV6 @ sK3_SV1 @ sK4_SV2 )
= $true )
| ( ( SV3 @ sK3_SV1 @ sK4_SV2 )
= $true )
| ( ( SV3 @ ( sK7_SY75 @ SV3 ) @ ( sK8_SY84 @ SV3 ) )
= $false )
| ( ( sK1_PROP @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[122]) ).
thf(127,plain,
! [SV4: a,SV5: a,SV9: a > a > $o,SV16: a,SV15: a] :
( ( ( ~ ~ ! [SY116: a > a > $o] :
~ ( SY116 @ SV15 @ SV16 )
| ( sK11_SY71 @ SV9 @ SV5 @ SV4 @ SV15 @ SV16 ) )
= $true )
| ( ( sK5_SY67 @ SV4 @ SV5 )
= $true )
| ( ( SV9 @ SV4 @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[123]) ).
thf(128,plain,
! [SV10: a > a > $o,SV3: a > a > $o] :
( ( ( ~ ! [SY113: a > a > $o] :
~ ( SY113 @ ( sK14_SY99 @ SV3 @ SV10 ) @ ( sK15_SY111 @ SV10 @ SV3 ) ) )
= $true )
| ( ( ~ ( sK1_PROP @ SV10 ) )
= $true )
| ( ( SV10 @ sK3_SV1 @ sK4_SV2 )
= $true )
| ( ( SV3 @ sK3_SV1 @ sK4_SV2 )
= $true )
| ( ( sK10_SY86 @ SV3 @ ( sK7_SY75 @ SV3 ) @ ( sK8_SY84 @ SV3 ) )
= $true )
| ( ( sK1_PROP @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[124]) ).
thf(129,plain,
! [SV3: a > a > $o,SV10: a > a > $o] :
( ( ( sK1_PROP @ SV10 )
= $false )
| ( ( SV10 @ ( sK14_SY99 @ SV3 @ SV10 ) @ ( sK15_SY111 @ SV10 @ SV3 ) )
= $false )
| ( ( SV10 @ sK3_SV1 @ sK4_SV2 )
= $true )
| ( ( SV3 @ sK3_SV1 @ sK4_SV2 )
= $true )
| ( ( sK10_SY86 @ SV3 @ ( sK7_SY75 @ SV3 ) @ ( sK8_SY84 @ SV3 ) )
= $true )
| ( ( sK1_PROP @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[125]) ).
thf(130,plain,
! [SV3: a > a > $o,SV6: a > a > $o] :
( ( ( sK1_PROP @ SV6 )
= $false )
| ( ( sK16_SY110 @ SV6 @ SV3 @ ( sK12_SY93 @ SV3 @ SV6 ) @ ( sK13_SY108 @ SV6 @ SV3 ) )
= $true )
| ( ( SV6 @ sK3_SV1 @ sK4_SV2 )
= $true )
| ( ( SV3 @ sK3_SV1 @ sK4_SV2 )
= $true )
| ( ( SV3 @ ( sK7_SY75 @ SV3 ) @ ( sK8_SY84 @ SV3 ) )
= $false )
| ( ( sK1_PROP @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[126]) ).
thf(131,plain,
! [SV4: a,SV5: a,SV9: a > a > $o,SV16: a,SV15: a] :
( ( ( ~ ~ ! [SY116: a > a > $o] :
~ ( SY116 @ SV15 @ SV16 ) )
= $true )
| ( ( sK11_SY71 @ SV9 @ SV5 @ SV4 @ SV15 @ SV16 )
= $true )
| ( ( sK5_SY67 @ SV4 @ SV5 )
= $true )
| ( ( SV9 @ SV4 @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[127]) ).
thf(132,plain,
! [SV10: a > a > $o,SV3: a > a > $o] :
( ( ( ! [SY113: a > a > $o] :
~ ( SY113 @ ( sK14_SY99 @ SV3 @ SV10 ) @ ( sK15_SY111 @ SV10 @ SV3 ) ) )
= $false )
| ( ( ~ ( sK1_PROP @ SV10 ) )
= $true )
| ( ( SV10 @ sK3_SV1 @ sK4_SV2 )
= $true )
| ( ( SV3 @ sK3_SV1 @ sK4_SV2 )
= $true )
| ( ( sK10_SY86 @ SV3 @ ( sK7_SY75 @ SV3 ) @ ( sK8_SY84 @ SV3 ) )
= $true )
| ( ( sK1_PROP @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[128]) ).
thf(133,plain,
! [SV4: a,SV5: a,SV9: a > a > $o,SV16: a,SV15: a] :
( ( ( ~ ! [SY116: a > a > $o] :
~ ( SY116 @ SV15 @ SV16 ) )
= $false )
| ( ( sK11_SY71 @ SV9 @ SV5 @ SV4 @ SV15 @ SV16 )
= $true )
| ( ( sK5_SY67 @ SV4 @ SV5 )
= $true )
| ( ( SV9 @ SV4 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[131]) ).
thf(134,plain,
! [SV3: a > a > $o,SV10: a > a > $o] :
( ( ( ~ ( sK17_SY113 @ SV10 @ SV3 @ ( sK14_SY99 @ SV3 @ SV10 ) @ ( sK15_SY111 @ SV10 @ SV3 ) ) )
= $false )
| ( ( ~ ( sK1_PROP @ SV10 ) )
= $true )
| ( ( SV10 @ sK3_SV1 @ sK4_SV2 )
= $true )
| ( ( SV3 @ sK3_SV1 @ sK4_SV2 )
= $true )
| ( ( sK10_SY86 @ SV3 @ ( sK7_SY75 @ SV3 ) @ ( sK8_SY84 @ SV3 ) )
= $true )
| ( ( sK1_PROP @ SV3 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[132]) ).
thf(135,plain,
! [SV4: a,SV5: a,SV9: a > a > $o,SV16: a,SV15: a] :
( ( ( ! [SY116: a > a > $o] :
~ ( SY116 @ SV15 @ SV16 ) )
= $true )
| ( ( sK11_SY71 @ SV9 @ SV5 @ SV4 @ SV15 @ SV16 )
= $true )
| ( ( sK5_SY67 @ SV4 @ SV5 )
= $true )
| ( ( SV9 @ SV4 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[133]) ).
thf(136,plain,
! [SV3: a > a > $o,SV10: a > a > $o] :
( ( ( sK17_SY113 @ SV10 @ SV3 @ ( sK14_SY99 @ SV3 @ SV10 ) @ ( sK15_SY111 @ SV10 @ SV3 ) )
= $true )
| ( ( ~ ( sK1_PROP @ SV10 ) )
= $true )
| ( ( SV10 @ sK3_SV1 @ sK4_SV2 )
= $true )
| ( ( SV3 @ sK3_SV1 @ sK4_SV2 )
= $true )
| ( ( sK10_SY86 @ SV3 @ ( sK7_SY75 @ SV3 ) @ ( sK8_SY84 @ SV3 ) )
= $true )
| ( ( sK1_PROP @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[134]) ).
thf(137,plain,
! [SV4: a,SV5: a,SV9: a > a > $o,SV16: a,SV15: a,SV17: a > a > $o] :
( ( ( ~ ( SV17 @ SV15 @ SV16 ) )
= $true )
| ( ( sK11_SY71 @ SV9 @ SV5 @ SV4 @ SV15 @ SV16 )
= $true )
| ( ( sK5_SY67 @ SV4 @ SV5 )
= $true )
| ( ( SV9 @ SV4 @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[135]) ).
thf(138,plain,
! [SV3: a > a > $o,SV10: a > a > $o] :
( ( ( sK1_PROP @ SV10 )
= $false )
| ( ( sK17_SY113 @ SV10 @ SV3 @ ( sK14_SY99 @ SV3 @ SV10 ) @ ( sK15_SY111 @ SV10 @ SV3 ) )
= $true )
| ( ( SV10 @ sK3_SV1 @ sK4_SV2 )
= $true )
| ( ( SV3 @ sK3_SV1 @ sK4_SV2 )
= $true )
| ( ( sK10_SY86 @ SV3 @ ( sK7_SY75 @ SV3 ) @ ( sK8_SY84 @ SV3 ) )
= $true )
| ( ( sK1_PROP @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[136]) ).
thf(139,plain,
! [SV4: a,SV5: a,SV9: a > a > $o,SV16: a,SV15: a,SV17: a > a > $o] :
( ( ( SV17 @ SV15 @ SV16 )
= $false )
| ( ( sK11_SY71 @ SV9 @ SV5 @ SV4 @ SV15 @ SV16 )
= $true )
| ( ( sK5_SY67 @ SV4 @ SV5 )
= $true )
| ( ( SV9 @ SV4 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[137]) ).
thf(140,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[11,139,138,130,129,120,119,112,100,98,83,62,60,41,17,14]) ).
thf(141,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[140]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SEV122^5 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.33 % Computer : n008.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue Jun 28 15:29:23 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34
% 0.12/0.34 No.of.Axioms: 0
% 0.12/0.34
% 0.12/0.34 Length.of.Defs: 0
% 0.12/0.34
% 0.12/0.34 Contains.Choice.Funs: false
% 0.12/0.35 (rf:0,axioms:0,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:2,loop_count:0,foatp_calls:0,translation:fof_full)................
% 0.18/0.45
% 0.18/0.45 ********************************
% 0.18/0.45 * All subproblems solved! *
% 0.18/0.45 ********************************
% 0.18/0.45 % SZS status Theorem for /export/starexec/sandbox/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:140,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.18/0.46
% 0.18/0.46 %**** Beginning of derivation protocol ****
% 0.18/0.46 % SZS output start CNFRefutation
% See solution above
% 0.18/0.46
% 0.18/0.46 %**** End of derivation protocol ****
% 0.18/0.46 %**** no. of clauses in derivation: 141 ****
% 0.18/0.46 %**** clause counter: 140 ****
% 0.18/0.46
% 0.18/0.46 % SZS status Theorem for /export/starexec/sandbox/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:140,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------