TSTP Solution File: SEV089^5 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SEV089^5 : 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 : n028.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 17:35:03 EDT 2022
% Result : Theorem 0.17s 0.46s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 10
% Syntax : Number of formulae : 135 ( 23 unt; 9 typ; 0 def)
% Number of atoms : 1200 ( 606 equ; 0 cnn)
% Maximal formula atoms : 4 ( 9 avg)
% Number of connectives : 1760 ( 426 ~; 323 |; 36 &; 944 @)
% ( 0 <=>; 31 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 103 ( 103 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 8 usr; 2 con; 0-2 aty)
% Number of variables : 374 ( 96 ^ 252 !; 26 ?; 374 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a,type,
a: $tType ).
thf(tp_sK1_SY0,type,
sK1_SY0: a > $o ).
thf(tp_sK2_SY28,type,
sK2_SY28: a > $o ).
thf(tp_sK3_SY49,type,
sK3_SY49: ( a > a ) > a ).
thf(tp_sK4_SY48,type,
sK4_SY48: ( a > a ) > a ).
thf(tp_sK5_SY41,type,
sK5_SY41: a > a ).
thf(tp_sK6_SY58,type,
sK6_SY58: a > a ).
thf(tp_sK7_SV8,type,
sK7_SV8: a > ( a > a ) > a ).
thf(tp_sK8_SV9,type,
sK8_SV9: a > ( a > a ) > a ).
thf(1,conjecture,
! [Xx: a > $o,Xy: a > $o] :
( ? [Xs: a > a] :
( ! [Xx0: a] :
( ( Xx @ Xx0 )
=> ( Xy @ ( Xs @ Xx0 ) ) )
& ! [Xy0: a] :
( ( Xy @ Xy0 )
=> ? [Xy_38: a] :
( ( ^ [Xx0: a] :
( ( Xx @ Xx0 )
& ( Xy0
= ( Xs @ Xx0 ) ) ) )
= ( ^ [Xx: a,Xy: a] : ( Xx = Xy )
@ Xy_38 ) ) ) )
=> ? [Xs: a > a] :
( ! [Xx0: a] :
( ( Xy @ Xx0 )
=> ( Xx @ ( Xs @ Xx0 ) ) )
& ! [Xy0: a] :
( ( Xx @ Xy0 )
=> ? [Xy_39: a] :
( ( ^ [Xx0: a] :
( ( Xy @ Xx0 )
& ( Xy0
= ( Xs @ Xx0 ) ) ) )
= ( ^ [Xx: a,Xy: a] : ( Xx = Xy )
@ Xy_39 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cEQP_1B_pme) ).
thf(2,negated_conjecture,
( ( ! [Xx: a > $o,Xy: a > $o] :
( ? [Xs: a > a] :
( ! [Xx0: a] :
( ( Xx @ Xx0 )
=> ( Xy @ ( Xs @ Xx0 ) ) )
& ! [Xy0: a] :
( ( Xy @ Xy0 )
=> ? [Xy_38: a] :
( ( ^ [Xx0: a] :
( ( Xx @ Xx0 )
& ( Xy0
= ( Xs @ Xx0 ) ) ) )
= ( ^ [Xx: a,Xy: a] : ( Xx = Xy )
@ Xy_38 ) ) ) )
=> ? [Xs: a > a] :
( ! [Xx0: a] :
( ( Xy @ Xx0 )
=> ( Xx @ ( Xs @ Xx0 ) ) )
& ! [Xy0: a] :
( ( Xx @ Xy0 )
=> ? [Xy_39: a] :
( ( ^ [Xx0: a] :
( ( Xy @ Xx0 )
& ( Xy0
= ( Xs @ Xx0 ) ) ) )
= ( ^ [Xx: a,Xy: a] : ( Xx = Xy )
@ Xy_39 ) ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ! [SY0: a > $o,SY1: a > $o] :
( ? [SY2: a > a] :
( ! [Xx0: a] :
( ( SY0 @ Xx0 )
=> ( SY1 @ ( SY2 @ Xx0 ) ) )
& ! [SY4: a] :
( ( SY1 @ SY4 )
=> ? [SY5: a] :
( ( ^ [Xx0: a] :
( ( SY0 @ Xx0 )
& ( SY4
= ( SY2 @ Xx0 ) ) ) )
= ( ^ [SY7: a] : ( SY5 = SY7 ) ) ) ) )
=> ? [SY8: a > a] :
( ! [Xx0: a] :
( ( SY1 @ Xx0 )
=> ( SY0 @ ( SY8 @ Xx0 ) ) )
& ! [SY10: a] :
( ( SY0 @ SY10 )
=> ? [SY11: a] :
( ( ^ [Xx0: a] :
( ( SY1 @ Xx0 )
& ( SY10
= ( SY8 @ Xx0 ) ) ) )
= ( ^ [SY13: a] : ( SY11 = SY13 ) ) ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ! [SY28: a > $o] :
( ? [SY29: a > a] :
( ! [SY30: a] :
( ( sK1_SY0 @ SY30 )
=> ( SY28 @ ( SY29 @ SY30 ) ) )
& ! [SY31: a] :
( ( SY28 @ SY31 )
=> ? [SY32: a] :
( ( ^ [SY33: a] :
( ( sK1_SY0 @ SY33 )
& ( SY31
= ( SY29 @ SY33 ) ) ) )
= ( ^ [SY7: a] : ( SY32 = SY7 ) ) ) ) )
=> ? [SY35: a > a] :
( ! [SY36: a] :
( ( SY28 @ SY36 )
=> ( sK1_SY0 @ ( SY35 @ SY36 ) ) )
& ! [SY37: a] :
( ( sK1_SY0 @ SY37 )
=> ? [SY11: a] :
( ( ^ [Xx0: a] :
( ( SY28 @ Xx0 )
& ( SY37
= ( SY35 @ Xx0 ) ) ) )
= ( ^ [SY13: a] : ( SY11 = SY13 ) ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[3]) ).
thf(5,plain,
( ( ? [SY41: a > a] :
( ! [SY42: a] :
( ( sK1_SY0 @ SY42 )
=> ( sK2_SY28 @ ( SY41 @ SY42 ) ) )
& ! [SY43: a] :
( ( sK2_SY28 @ SY43 )
=> ? [SY32: a] :
( ( ^ [SY33: a] :
( ( sK1_SY0 @ SY33 )
& ( SY43
= ( SY41 @ SY33 ) ) ) )
= ( ^ [SY7: a] : ( SY32 = SY7 ) ) ) ) )
=> ? [SY47: a > a] :
( ! [SY48: a] :
( ( sK2_SY28 @ SY48 )
=> ( sK1_SY0 @ ( SY47 @ SY48 ) ) )
& ! [SY49: a] :
( ( sK1_SY0 @ SY49 )
=> ? [SY50: a] :
( ( ^ [SY51: a] :
( ( sK2_SY28 @ SY51 )
& ( SY49
= ( SY47 @ SY51 ) ) ) )
= ( ^ [SY13: a] : ( SY50 = SY13 ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[4]) ).
thf(6,plain,
( ( ? [SY41: a > a] :
( ! [SY42: a] :
( ( sK1_SY0 @ SY42 )
=> ( sK2_SY28 @ ( SY41 @ SY42 ) ) )
& ! [SY43: a] :
( ( sK2_SY28 @ SY43 )
=> ? [SY32: a] :
( ( ^ [SY33: a] :
( ( sK1_SY0 @ SY33 )
& ( SY43
= ( SY41 @ SY33 ) ) ) )
= ( ^ [SY7: a] : ( SY32 = SY7 ) ) ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[5]) ).
thf(7,plain,
( ( ? [SY47: a > a] :
( ! [SY48: a] :
( ( sK2_SY28 @ SY48 )
=> ( sK1_SY0 @ ( SY47 @ SY48 ) ) )
& ! [SY49: a] :
( ( sK1_SY0 @ SY49 )
=> ? [SY50: a] :
( ( ^ [SY51: a] :
( ( sK2_SY28 @ SY51 )
& ( SY49
= ( SY47 @ SY51 ) ) ) )
= ( ^ [SY13: a] : ( SY50 = SY13 ) ) ) ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[5]) ).
thf(8,plain,
( ( ~ ? [SY47: a > a] :
( ! [SY48: a] :
( ( sK2_SY28 @ SY48 )
=> ( sK1_SY0 @ ( SY47 @ SY48 ) ) )
& ! [SY49: a] :
( ( sK1_SY0 @ SY49 )
=> ? [SY50: a] :
( ( ^ [SY51: a] :
( ( sK2_SY28 @ SY51 )
& ( SY49
= ( SY47 @ SY51 ) ) ) )
= ( ^ [SY13: a] : ( SY50 = SY13 ) ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[7]) ).
thf(9,plain,
( ( ! [SY47: a > a] :
( ( ( sK2_SY28 @ ( sK4_SY48 @ SY47 ) )
& ~ ( sK1_SY0 @ ( SY47 @ ( sK4_SY48 @ SY47 ) ) ) )
| ( ( sK1_SY0 @ ( sK3_SY49 @ SY47 ) )
& ! [SY53: a] :
( ( ^ [SY54: a] :
( ( ( sK3_SY49 @ SY47 )
= ( SY47 @ SY54 ) )
& ( sK2_SY28 @ SY54 ) ) )
!= ( ^ [SY13: a] : ( SY53 = SY13 ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[8]) ).
thf(10,plain,
( ( ! [SY56: a] :
( ~ ( sK1_SY0 @ SY56 )
| ( sK2_SY28 @ ( sK5_SY41 @ SY56 ) ) )
& ! [SY57: a] :
( ~ ( sK2_SY28 @ SY57 )
| ( ( ^ [SY59: a] :
( ( SY57
= ( sK5_SY41 @ SY59 ) )
& ( sK1_SY0 @ SY59 ) ) )
= ( ^ [SY62: a] :
( ( sK6_SY58 @ SY57 )
= SY62 ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[6]) ).
thf(11,plain,
( ( ! [SY56: a] :
( ~ ( sK1_SY0 @ SY56 )
| ( sK2_SY28 @ ( sK5_SY41 @ SY56 ) ) )
& ! [SY57: a] :
( ~ ( sK2_SY28 @ SY57 )
| ( ( ^ [SY59: a] :
( ( SY57
= ( sK5_SY41 @ SY59 ) )
& ( sK1_SY0 @ SY59 ) ) )
= ( ^ [SY62: a] :
( ( sK6_SY58 @ SY57 )
= SY62 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[10]) ).
thf(12,plain,
( ( ! [SY47: a > a] :
( ( ( sK2_SY28 @ ( sK4_SY48 @ SY47 ) )
& ~ ( sK1_SY0 @ ( SY47 @ ( sK4_SY48 @ SY47 ) ) ) )
| ( ( sK1_SY0 @ ( sK3_SY49 @ SY47 ) )
& ! [SY53: a] :
( ( ^ [SY54: a] :
( ( ( sK3_SY49 @ SY47 )
= ( SY47 @ SY54 ) )
& ( sK2_SY28 @ SY54 ) ) )
!= ( ^ [SY13: a] : ( SY53 = SY13 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(13,plain,
( ( ! [SX0: a > a] :
( ~ ( ~ ( sK2_SY28 @ ( sK4_SY48 @ SX0 ) )
| ~ ~ ( sK1_SY0 @ ( SX0 @ ( sK4_SY48 @ SX0 ) ) ) )
| ~ ( ~ ( sK1_SY0 @ ( sK3_SY49 @ SX0 ) )
| ~ ! [SX1: a] :
( ( ^ [SX2: a] :
~ ( ( ( sK3_SY49 @ SX0 )
!= ( SX0 @ SX2 ) )
| ~ ( sK2_SY28 @ SX2 ) ) )
!= ( ^ [SX2: a] : ( SX1 = SX2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(14,plain,
( ( ~ ( ~ ! [SX0: a] :
( ~ ( sK1_SY0 @ SX0 )
| ( sK2_SY28 @ ( sK5_SY41 @ SX0 ) ) )
| ~ ! [SX0: a] :
( ~ ( sK2_SY28 @ SX0 )
| ( ( ^ [SX1: a] :
~ ( ( SX0
!= ( sK5_SY41 @ SX1 ) )
| ~ ( sK1_SY0 @ SX1 ) ) )
= ( ^ [SX1: a] :
( ( sK6_SY58 @ SX0 )
= SX1 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(15,plain,
! [SV1: a > a] :
( ( ~ ( ~ ( sK2_SY28 @ ( sK4_SY48 @ SV1 ) )
| ~ ~ ( sK1_SY0 @ ( SV1 @ ( sK4_SY48 @ SV1 ) ) ) )
| ~ ( ~ ( sK1_SY0 @ ( sK3_SY49 @ SV1 ) )
| ~ ! [SY63: a] :
( ( ^ [SY64: a] :
~ ( ( ( sK3_SY49 @ SV1 )
!= ( SV1 @ SY64 ) )
| ~ ( sK2_SY28 @ SY64 ) ) )
!= ( ^ [SX2: a] : ( SY63 = SX2 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[13]) ).
thf(16,plain,
( ( ~ ! [SX0: a] :
( ~ ( sK1_SY0 @ SX0 )
| ( sK2_SY28 @ ( sK5_SY41 @ SX0 ) ) )
| ~ ! [SX0: a] :
( ~ ( sK2_SY28 @ SX0 )
| ( ( ^ [SX1: a] :
~ ( ( SX0
!= ( sK5_SY41 @ SX1 ) )
| ~ ( sK1_SY0 @ SX1 ) ) )
= ( ^ [SX1: a] :
( ( sK6_SY58 @ SX0 )
= SX1 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[14]) ).
thf(17,plain,
! [SV1: a > a] :
( ( ( ~ ( ~ ( sK2_SY28 @ ( sK4_SY48 @ SV1 ) )
| ~ ~ ( sK1_SY0 @ ( SV1 @ ( sK4_SY48 @ SV1 ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( sK1_SY0 @ ( sK3_SY49 @ SV1 ) )
| ~ ! [SY63: a] :
( ( ^ [SY64: a] :
~ ( ( ( sK3_SY49 @ SV1 )
!= ( SV1 @ SY64 ) )
| ~ ( sK2_SY28 @ SY64 ) ) )
!= ( ^ [SX2: a] : ( SY63 = SX2 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[15]) ).
thf(18,plain,
( ( ~ ! [SX0: a] :
( ~ ( sK1_SY0 @ SX0 )
| ( sK2_SY28 @ ( sK5_SY41 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[16]) ).
thf(19,plain,
( ( ~ ! [SX0: a] :
( ~ ( sK2_SY28 @ SX0 )
| ( ( ^ [SX1: a] :
~ ( ( SX0
!= ( sK5_SY41 @ SX1 ) )
| ~ ( sK1_SY0 @ SX1 ) ) )
= ( ^ [SX1: a] :
( ( sK6_SY58 @ SX0 )
= SX1 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[16]) ).
thf(20,plain,
! [SV1: a > a] :
( ( ( ~ ( sK2_SY28 @ ( sK4_SY48 @ SV1 ) )
| ~ ~ ( sK1_SY0 @ ( SV1 @ ( sK4_SY48 @ SV1 ) ) ) )
= $false )
| ( ( ~ ( ~ ( sK1_SY0 @ ( sK3_SY49 @ SV1 ) )
| ~ ! [SY63: a] :
( ( ^ [SY64: a] :
~ ( ( ( sK3_SY49 @ SV1 )
!= ( SV1 @ SY64 ) )
| ~ ( sK2_SY28 @ SY64 ) ) )
!= ( ^ [SX2: a] : ( SY63 = SX2 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[17]) ).
thf(21,plain,
( ( ! [SX0: a] :
( ~ ( sK1_SY0 @ SX0 )
| ( sK2_SY28 @ ( sK5_SY41 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[18]) ).
thf(22,plain,
( ( ! [SX0: a] :
( ~ ( sK2_SY28 @ SX0 )
| ( ( ^ [SX1: a] :
~ ( ( SX0
!= ( sK5_SY41 @ SX1 ) )
| ~ ( sK1_SY0 @ SX1 ) ) )
= ( ^ [SX1: a] :
( ( sK6_SY58 @ SX0 )
= SX1 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[19]) ).
thf(23,plain,
! [SV1: a > a] :
( ( ( ~ ( sK2_SY28 @ ( sK4_SY48 @ SV1 ) ) )
= $false )
| ( ( ~ ( ~ ( sK1_SY0 @ ( sK3_SY49 @ SV1 ) )
| ~ ! [SY63: a] :
( ( ^ [SY64: a] :
~ ( ( ( sK3_SY49 @ SV1 )
!= ( SV1 @ SY64 ) )
| ~ ( sK2_SY28 @ SY64 ) ) )
!= ( ^ [SX2: a] : ( SY63 = SX2 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[20]) ).
thf(24,plain,
! [SV1: a > a] :
( ( ( ~ ~ ( sK1_SY0 @ ( SV1 @ ( sK4_SY48 @ SV1 ) ) ) )
= $false )
| ( ( ~ ( ~ ( sK1_SY0 @ ( sK3_SY49 @ SV1 ) )
| ~ ! [SY63: a] :
( ( ^ [SY64: a] :
~ ( ( ( sK3_SY49 @ SV1 )
!= ( SV1 @ SY64 ) )
| ~ ( sK2_SY28 @ SY64 ) ) )
!= ( ^ [SX2: a] : ( SY63 = SX2 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[20]) ).
thf(25,plain,
! [SV2: a] :
( ( ~ ( sK1_SY0 @ SV2 )
| ( sK2_SY28 @ ( sK5_SY41 @ SV2 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[21]) ).
thf(26,plain,
! [SV3: a] :
( ( ~ ( sK2_SY28 @ SV3 )
| ( ( ^ [SY66: a] :
~ ( ( SV3
!= ( sK5_SY41 @ SY66 ) )
| ~ ( sK1_SY0 @ SY66 ) ) )
= ( ^ [SY67: a] :
( ( sK6_SY58 @ SV3 )
= SY67 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[22]) ).
thf(27,plain,
! [SV1: a > a] :
( ( ( sK2_SY28 @ ( sK4_SY48 @ SV1 ) )
= $true )
| ( ( ~ ( ~ ( sK1_SY0 @ ( sK3_SY49 @ SV1 ) )
| ~ ! [SY63: a] :
( ( ^ [SY64: a] :
~ ( ( ( sK3_SY49 @ SV1 )
!= ( SV1 @ SY64 ) )
| ~ ( sK2_SY28 @ SY64 ) ) )
!= ( ^ [SX2: a] : ( SY63 = SX2 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[23]) ).
thf(28,plain,
! [SV1: a > a] :
( ( ( ~ ( sK1_SY0 @ ( SV1 @ ( sK4_SY48 @ SV1 ) ) ) )
= $true )
| ( ( ~ ( ~ ( sK1_SY0 @ ( sK3_SY49 @ SV1 ) )
| ~ ! [SY63: a] :
( ( ^ [SY64: a] :
~ ( ( ( sK3_SY49 @ SV1 )
!= ( SV1 @ SY64 ) )
| ~ ( sK2_SY28 @ SY64 ) ) )
!= ( ^ [SX2: a] : ( SY63 = SX2 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[24]) ).
thf(29,plain,
! [SV2: a] :
( ( ( ~ ( sK1_SY0 @ SV2 ) )
= $true )
| ( ( sK2_SY28 @ ( sK5_SY41 @ SV2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[25]) ).
thf(30,plain,
! [SV3: a] :
( ( ( ~ ( sK2_SY28 @ SV3 ) )
= $true )
| ( ( ( ^ [SY66: a] :
~ ( ( SV3
!= ( sK5_SY41 @ SY66 ) )
| ~ ( sK1_SY0 @ SY66 ) ) )
= ( ^ [SY67: a] :
( ( sK6_SY58 @ SV3 )
= SY67 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[26]) ).
thf(31,plain,
! [SV1: a > a] :
( ( ( ~ ( sK1_SY0 @ ( sK3_SY49 @ SV1 ) )
| ~ ! [SY63: a] :
( ( ^ [SY64: a] :
~ ( ( ( sK3_SY49 @ SV1 )
!= ( SV1 @ SY64 ) )
| ~ ( sK2_SY28 @ SY64 ) ) )
!= ( ^ [SX2: a] : ( SY63 = SX2 ) ) ) )
= $false )
| ( ( sK2_SY28 @ ( sK4_SY48 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[27]) ).
thf(32,plain,
! [SV1: a > a] :
( ( ( sK1_SY0 @ ( SV1 @ ( sK4_SY48 @ SV1 ) ) )
= $false )
| ( ( ~ ( ~ ( sK1_SY0 @ ( sK3_SY49 @ SV1 ) )
| ~ ! [SY63: a] :
( ( ^ [SY64: a] :
~ ( ( ( sK3_SY49 @ SV1 )
!= ( SV1 @ SY64 ) )
| ~ ( sK2_SY28 @ SY64 ) ) )
!= ( ^ [SX2: a] : ( SY63 = SX2 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[28]) ).
thf(33,plain,
! [SV2: a] :
( ( ( sK1_SY0 @ SV2 )
= $false )
| ( ( sK2_SY28 @ ( sK5_SY41 @ SV2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[29]) ).
thf(34,plain,
! [SV3: a] :
( ( ( sK2_SY28 @ SV3 )
= $false )
| ( ( ( ^ [SY66: a] :
~ ( ( SV3
!= ( sK5_SY41 @ SY66 ) )
| ~ ( sK1_SY0 @ SY66 ) ) )
= ( ^ [SY67: a] :
( ( sK6_SY58 @ SV3 )
= SY67 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[30]) ).
thf(35,plain,
! [SV1: a > a] :
( ( ( ~ ( sK1_SY0 @ ( sK3_SY49 @ SV1 ) ) )
= $false )
| ( ( sK2_SY28 @ ( sK4_SY48 @ SV1 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[31]) ).
thf(36,plain,
! [SV1: a > a] :
( ( ( ~ ! [SY63: a] :
( ( ^ [SY64: a] :
~ ( ( ( sK3_SY49 @ SV1 )
!= ( SV1 @ SY64 ) )
| ~ ( sK2_SY28 @ SY64 ) ) )
!= ( ^ [SX2: a] : ( SY63 = SX2 ) ) ) )
= $false )
| ( ( sK2_SY28 @ ( sK4_SY48 @ SV1 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[31]) ).
thf(37,plain,
! [SV1: a > a] :
( ( ( ~ ( sK1_SY0 @ ( sK3_SY49 @ SV1 ) )
| ~ ! [SY63: a] :
( ( ^ [SY64: a] :
~ ( ( ( sK3_SY49 @ SV1 )
!= ( SV1 @ SY64 ) )
| ~ ( sK2_SY28 @ SY64 ) ) )
!= ( ^ [SX2: a] : ( SY63 = SX2 ) ) ) )
= $false )
| ( ( sK1_SY0 @ ( SV1 @ ( sK4_SY48 @ SV1 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[32]) ).
thf(38,plain,
! [SV3: a] :
( ( ( ! [SV4: a] :
( ( ~ ( ( SV3
!= ( sK5_SY41 @ SV4 ) )
| ~ ( sK1_SY0 @ SV4 ) ) )
= ( ( sK6_SY58 @ SV3 )
= SV4 ) ) )
= $true )
| ( ( sK2_SY28 @ SV3 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[34]) ).
thf(39,plain,
! [SV3: a] :
( ( ( ( ^ [SY66: a] :
~ ( ( SV3
!= ( sK5_SY41 @ SY66 ) )
| ~ ( sK1_SY0 @ SY66 ) ) )
= ( ^ [SY67: a] :
( ( sK6_SY58 @ SV3 )
= SY67 ) ) )
= $true )
| ( ( sK2_SY28 @ SV3 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[34]) ).
thf(40,plain,
! [SV1: a > a] :
( ( ( sK1_SY0 @ ( sK3_SY49 @ SV1 ) )
= $true )
| ( ( sK2_SY28 @ ( sK4_SY48 @ SV1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[35]) ).
thf(41,plain,
! [SV1: a > a] :
( ( ( ! [SY63: a] :
( ( ^ [SY64: a] :
~ ( ( ( sK3_SY49 @ SV1 )
!= ( SV1 @ SY64 ) )
| ~ ( sK2_SY28 @ SY64 ) ) )
!= ( ^ [SX2: a] : ( SY63 = SX2 ) ) ) )
= $true )
| ( ( sK2_SY28 @ ( sK4_SY48 @ SV1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[36]) ).
thf(42,plain,
! [SV1: a > a] :
( ( ( ~ ( sK1_SY0 @ ( sK3_SY49 @ SV1 ) ) )
= $false )
| ( ( sK1_SY0 @ ( SV1 @ ( sK4_SY48 @ SV1 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[37]) ).
thf(43,plain,
! [SV1: a > a] :
( ( ( ~ ! [SY63: a] :
( ( ^ [SY64: a] :
~ ( ( ( sK3_SY49 @ SV1 )
!= ( SV1 @ SY64 ) )
| ~ ( sK2_SY28 @ SY64 ) ) )
!= ( ^ [SX2: a] : ( SY63 = SX2 ) ) ) )
= $false )
| ( ( sK1_SY0 @ ( SV1 @ ( sK4_SY48 @ SV1 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[37]) ).
thf(44,plain,
! [SV5: a,SV3: a] :
( ( ( ( ~ ( ( SV3
!= ( sK5_SY41 @ SV5 ) )
| ~ ( sK1_SY0 @ SV5 ) ) )
= ( ( sK6_SY58 @ SV3 )
= SV5 ) )
= $true )
| ( ( sK2_SY28 @ SV3 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[38]) ).
thf(45,plain,
! [SV6: a,SV1: a > a] :
( ( ( ( ( ^ [SY64: a] :
~ ( ( ( sK3_SY49 @ SV1 )
!= ( SV1 @ SY64 ) )
| ~ ( sK2_SY28 @ SY64 ) ) )
!= ( ^ [SY69: a] : ( SV6 = SY69 ) ) ) )
= $true )
| ( ( sK2_SY28 @ ( sK4_SY48 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[41]) ).
thf(46,plain,
! [SV1: a > a] :
( ( ( sK1_SY0 @ ( sK3_SY49 @ SV1 ) )
= $true )
| ( ( sK1_SY0 @ ( SV1 @ ( sK4_SY48 @ SV1 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[42]) ).
thf(47,plain,
! [SV1: a > a] :
( ( ( ! [SY63: a] :
( ( ^ [SY64: a] :
~ ( ( ( sK3_SY49 @ SV1 )
!= ( SV1 @ SY64 ) )
| ~ ( sK2_SY28 @ SY64 ) ) )
!= ( ^ [SX2: a] : ( SY63 = SX2 ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( SV1 @ ( sK4_SY48 @ SV1 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[43]) ).
thf(48,plain,
! [SV5: a,SV3: a] :
( ( ( ~ ( ~ ( ( SV3
!= ( sK5_SY41 @ SV5 ) )
| ~ ( sK1_SY0 @ SV5 ) )
| ( ( sK6_SY58 @ SV3 )
= SV5 ) )
| ~ ( ~ ~ ( ( SV3
!= ( sK5_SY41 @ SV5 ) )
| ~ ( sK1_SY0 @ SV5 ) )
| ( ( sK6_SY58 @ SV3 )
!= SV5 ) ) )
= $true )
| ( ( sK2_SY28 @ SV3 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[44]) ).
thf(49,plain,
! [SV5: a,SV3: a] :
( ( ( ( ~ ( ( SV3
!= ( sK5_SY41 @ SV5 ) )
| ~ ( sK1_SY0 @ SV5 ) ) )
= ( ( sK6_SY58 @ SV3 )
= SV5 ) )
= $true )
| ( ( sK2_SY28 @ SV3 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[44]) ).
thf(50,plain,
! [SV6: a,SV1: a > a] :
( ( ( ( ^ [SY64: a] :
~ ( ( ( sK3_SY49 @ SV1 )
!= ( SV1 @ SY64 ) )
| ~ ( sK2_SY28 @ SY64 ) ) )
= ( ^ [SY69: a] : ( SV6 = SY69 ) ) )
= $false )
| ( ( sK2_SY28 @ ( sK4_SY48 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[45]) ).
thf(51,plain,
! [SV7: a,SV1: a > a] :
( ( ( ( ( ^ [SY64: a] :
~ ( ( ( sK3_SY49 @ SV1 )
!= ( SV1 @ SY64 ) )
| ~ ( sK2_SY28 @ SY64 ) ) )
!= ( ^ [SY71: a] : ( SV7 = SY71 ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( SV1 @ ( sK4_SY48 @ SV1 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[47]) ).
thf(52,plain,
! [SV5: a,SV3: a] :
( ( ( ~ ( ~ ( ( SV3
!= ( sK5_SY41 @ SV5 ) )
| ~ ( sK1_SY0 @ SV5 ) )
| ( ( sK6_SY58 @ SV3 )
= SV5 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ( SV3
!= ( sK5_SY41 @ SV5 ) )
| ~ ( sK1_SY0 @ SV5 ) )
| ( ( sK6_SY58 @ SV3 )
!= SV5 ) ) )
= $true )
| ( ( sK2_SY28 @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[48]) ).
thf(53,plain,
! [SV6: a,SV1: a > a] :
( ( ( ! [SV8: a] :
( ( ~ ( ( ( sK3_SY49 @ SV1 )
!= ( SV1 @ SV8 ) )
| ~ ( sK2_SY28 @ SV8 ) ) )
= ( SV6 = SV8 ) ) )
= $false )
| ( ( sK2_SY28 @ ( sK4_SY48 @ SV1 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[50]) ).
thf(54,plain,
! [SV6: a,SV1: a > a] :
( ( ( ( ^ [SY64: a] :
~ ( ( ( sK3_SY49 @ SV1 )
!= ( SV1 @ SY64 ) )
| ~ ( sK2_SY28 @ SY64 ) ) )
= ( ^ [SY69: a] : ( SV6 = SY69 ) ) )
= $false )
| ( ( sK2_SY28 @ ( sK4_SY48 @ SV1 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[50]) ).
thf(55,plain,
! [SV7: a,SV1: a > a] :
( ( ( ( ^ [SY64: a] :
~ ( ( ( sK3_SY49 @ SV1 )
!= ( SV1 @ SY64 ) )
| ~ ( sK2_SY28 @ SY64 ) ) )
= ( ^ [SY71: a] : ( SV7 = SY71 ) ) )
= $false )
| ( ( sK1_SY0 @ ( SV1 @ ( sK4_SY48 @ SV1 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[51]) ).
thf(56,plain,
! [SV5: a,SV3: a] :
( ( ( ~ ( ( SV3
!= ( sK5_SY41 @ SV5 ) )
| ~ ( sK1_SY0 @ SV5 ) )
| ( ( sK6_SY58 @ SV3 )
= SV5 ) )
= $false )
| ( ( ~ ( ~ ~ ( ( SV3
!= ( sK5_SY41 @ SV5 ) )
| ~ ( sK1_SY0 @ SV5 ) )
| ( ( sK6_SY58 @ SV3 )
!= SV5 ) ) )
= $true )
| ( ( sK2_SY28 @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[52]) ).
thf(57,plain,
! [SV6: a,SV1: a > a] :
( ( ( ( ~ ( ( ( sK3_SY49 @ SV1 )
!= ( SV1 @ ( sK7_SV8 @ SV6 @ SV1 ) ) )
| ~ ( sK2_SY28 @ ( sK7_SV8 @ SV6 @ SV1 ) ) ) )
= ( SV6
= ( sK7_SV8 @ SV6 @ SV1 ) ) )
= $false )
| ( ( sK2_SY28 @ ( sK4_SY48 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[53]) ).
thf(58,plain,
! [SV7: a,SV1: a > a] :
( ( ( ! [SV9: a] :
( ( ~ ( ( ( sK3_SY49 @ SV1 )
!= ( SV1 @ SV9 ) )
| ~ ( sK2_SY28 @ SV9 ) ) )
= ( SV7 = SV9 ) ) )
= $false )
| ( ( sK1_SY0 @ ( SV1 @ ( sK4_SY48 @ SV1 ) ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[55]) ).
thf(59,plain,
! [SV7: a,SV1: a > a] :
( ( ( ( ^ [SY64: a] :
~ ( ( ( sK3_SY49 @ SV1 )
!= ( SV1 @ SY64 ) )
| ~ ( sK2_SY28 @ SY64 ) ) )
= ( ^ [SY71: a] : ( SV7 = SY71 ) ) )
= $false )
| ( ( sK1_SY0 @ ( SV1 @ ( sK4_SY48 @ SV1 ) ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[55]) ).
thf(60,plain,
! [SV5: a,SV3: a] :
( ( ( ~ ( ( SV3
!= ( sK5_SY41 @ SV5 ) )
| ~ ( sK1_SY0 @ SV5 ) ) )
= $false )
| ( ( ~ ( ~ ~ ( ( SV3
!= ( sK5_SY41 @ SV5 ) )
| ~ ( sK1_SY0 @ SV5 ) )
| ( ( sK6_SY58 @ SV3 )
!= SV5 ) ) )
= $true )
| ( ( sK2_SY28 @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[56]) ).
thf(61,plain,
! [SV5: a,SV3: a] :
( ( ( ( sK6_SY58 @ SV3 )
= SV5 )
= $false )
| ( ( ~ ( ~ ~ ( ( SV3
!= ( sK5_SY41 @ SV5 ) )
| ~ ( sK1_SY0 @ SV5 ) )
| ( ( sK6_SY58 @ SV3 )
!= SV5 ) ) )
= $true )
| ( ( sK2_SY28 @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[56]) ).
thf(62,plain,
! [SV6: a,SV1: a > a] :
( ( ( ~ ( ~ ( ( ( sK3_SY49 @ SV1 )
!= ( SV1 @ ( sK7_SV8 @ SV6 @ SV1 ) ) )
| ~ ( sK2_SY28 @ ( sK7_SV8 @ SV6 @ SV1 ) ) )
| ( SV6
= ( sK7_SV8 @ SV6 @ SV1 ) ) )
| ~ ( ~ ~ ( ( ( sK3_SY49 @ SV1 )
!= ( SV1 @ ( sK7_SV8 @ SV6 @ SV1 ) ) )
| ~ ( sK2_SY28 @ ( sK7_SV8 @ SV6 @ SV1 ) ) )
| ( SV6
!= ( sK7_SV8 @ SV6 @ SV1 ) ) ) )
= $false )
| ( ( sK2_SY28 @ ( sK4_SY48 @ SV1 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[57]) ).
thf(63,plain,
! [SV6: a,SV1: a > a] :
( ( ( ( ~ ( ( ( sK3_SY49 @ SV1 )
!= ( SV1 @ ( sK7_SV8 @ SV6 @ SV1 ) ) )
| ~ ( sK2_SY28 @ ( sK7_SV8 @ SV6 @ SV1 ) ) ) )
= ( SV6
= ( sK7_SV8 @ SV6 @ SV1 ) ) )
= $false )
| ( ( sK2_SY28 @ ( sK4_SY48 @ SV1 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[57]) ).
thf(64,plain,
! [SV7: a,SV1: a > a] :
( ( ( ( ~ ( ( ( sK3_SY49 @ SV1 )
!= ( SV1 @ ( sK8_SV9 @ SV7 @ SV1 ) ) )
| ~ ( sK2_SY28 @ ( sK8_SV9 @ SV7 @ SV1 ) ) ) )
= ( SV7
= ( sK8_SV9 @ SV7 @ SV1 ) ) )
= $false )
| ( ( sK1_SY0 @ ( SV1 @ ( sK4_SY48 @ SV1 ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[58]) ).
thf(65,plain,
! [SV5: a,SV3: a] :
( ( ( ( SV3
!= ( sK5_SY41 @ SV5 ) )
| ~ ( sK1_SY0 @ SV5 ) )
= $true )
| ( ( ~ ( ~ ~ ( ( SV3
!= ( sK5_SY41 @ SV5 ) )
| ~ ( sK1_SY0 @ SV5 ) )
| ( ( sK6_SY58 @ SV3 )
!= SV5 ) ) )
= $true )
| ( ( sK2_SY28 @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[60]) ).
thf(66,plain,
! [SV5: a,SV3: a] :
( ( ( ~ ~ ( ( SV3
!= ( sK5_SY41 @ SV5 ) )
| ~ ( sK1_SY0 @ SV5 ) )
| ( ( sK6_SY58 @ SV3 )
!= SV5 ) )
= $false )
| ( ( ( sK6_SY58 @ SV3 )
= SV5 )
= $false )
| ( ( sK2_SY28 @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[61]) ).
thf(67,plain,
! [SV6: a,SV1: a > a] :
( ( ( ~ ( ~ ( ( ( sK3_SY49 @ SV1 )
!= ( SV1 @ ( sK7_SV8 @ SV6 @ SV1 ) ) )
| ~ ( sK2_SY28 @ ( sK7_SV8 @ SV6 @ SV1 ) ) )
| ( SV6
= ( sK7_SV8 @ SV6 @ SV1 ) ) ) )
= $false )
| ( ( sK2_SY28 @ ( sK4_SY48 @ SV1 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[62]) ).
thf(68,plain,
! [SV6: a,SV1: a > a] :
( ( ( ~ ( ~ ~ ( ( ( sK3_SY49 @ SV1 )
!= ( SV1 @ ( sK7_SV8 @ SV6 @ SV1 ) ) )
| ~ ( sK2_SY28 @ ( sK7_SV8 @ SV6 @ SV1 ) ) )
| ( SV6
!= ( sK7_SV8 @ SV6 @ SV1 ) ) ) )
= $false )
| ( ( sK2_SY28 @ ( sK4_SY48 @ SV1 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[62]) ).
thf(69,plain,
! [SV7: a,SV1: a > a] :
( ( ( ~ ( ~ ( ( ( sK3_SY49 @ SV1 )
!= ( SV1 @ ( sK8_SV9 @ SV7 @ SV1 ) ) )
| ~ ( sK2_SY28 @ ( sK8_SV9 @ SV7 @ SV1 ) ) )
| ( SV7
= ( sK8_SV9 @ SV7 @ SV1 ) ) )
| ~ ( ~ ~ ( ( ( sK3_SY49 @ SV1 )
!= ( SV1 @ ( sK8_SV9 @ SV7 @ SV1 ) ) )
| ~ ( sK2_SY28 @ ( sK8_SV9 @ SV7 @ SV1 ) ) )
| ( SV7
!= ( sK8_SV9 @ SV7 @ SV1 ) ) ) )
= $false )
| ( ( sK1_SY0 @ ( SV1 @ ( sK4_SY48 @ SV1 ) ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[64]) ).
thf(70,plain,
! [SV7: a,SV1: a > a] :
( ( ( ( ~ ( ( ( sK3_SY49 @ SV1 )
!= ( SV1 @ ( sK8_SV9 @ SV7 @ SV1 ) ) )
| ~ ( sK2_SY28 @ ( sK8_SV9 @ SV7 @ SV1 ) ) ) )
= ( SV7
= ( sK8_SV9 @ SV7 @ SV1 ) ) )
= $false )
| ( ( sK1_SY0 @ ( SV1 @ ( sK4_SY48 @ SV1 ) ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[64]) ).
thf(71,plain,
! [SV5: a,SV3: a] :
( ( ( ( SV3
!= ( sK5_SY41 @ SV5 ) ) )
= $true )
| ( ( ~ ( sK1_SY0 @ SV5 ) )
= $true )
| ( ( ~ ( ~ ~ ( ( SV3
!= ( sK5_SY41 @ SV5 ) )
| ~ ( sK1_SY0 @ SV5 ) )
| ( ( sK6_SY58 @ SV3 )
!= SV5 ) ) )
= $true )
| ( ( sK2_SY28 @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[65]) ).
thf(72,plain,
! [SV5: a,SV3: a] :
( ( ( ~ ~ ( ( SV3
!= ( sK5_SY41 @ SV5 ) )
| ~ ( sK1_SY0 @ SV5 ) ) )
= $false )
| ( ( ( sK6_SY58 @ SV3 )
= SV5 )
= $false )
| ( ( sK2_SY28 @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[66]) ).
thf(73,plain,
! [SV5: a,SV3: a] :
( ( ( ( ( sK6_SY58 @ SV3 )
!= SV5 ) )
= $false )
| ( ( ( sK6_SY58 @ SV3 )
= SV5 )
= $false )
| ( ( sK2_SY28 @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[66]) ).
thf(74,plain,
! [SV6: a,SV1: a > a] :
( ( ( ~ ( ( ( sK3_SY49 @ SV1 )
!= ( SV1 @ ( sK7_SV8 @ SV6 @ SV1 ) ) )
| ~ ( sK2_SY28 @ ( sK7_SV8 @ SV6 @ SV1 ) ) )
| ( SV6
= ( sK7_SV8 @ SV6 @ SV1 ) ) )
= $true )
| ( ( sK2_SY28 @ ( sK4_SY48 @ SV1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[67]) ).
thf(75,plain,
! [SV6: a,SV1: a > a] :
( ( ( ~ ~ ( ( ( sK3_SY49 @ SV1 )
!= ( SV1 @ ( sK7_SV8 @ SV6 @ SV1 ) ) )
| ~ ( sK2_SY28 @ ( sK7_SV8 @ SV6 @ SV1 ) ) )
| ( SV6
!= ( sK7_SV8 @ SV6 @ SV1 ) ) )
= $true )
| ( ( sK2_SY28 @ ( sK4_SY48 @ SV1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[68]) ).
thf(76,plain,
! [SV7: a,SV1: a > a] :
( ( ( ~ ( ~ ( ( ( sK3_SY49 @ SV1 )
!= ( SV1 @ ( sK8_SV9 @ SV7 @ SV1 ) ) )
| ~ ( sK2_SY28 @ ( sK8_SV9 @ SV7 @ SV1 ) ) )
| ( SV7
= ( sK8_SV9 @ SV7 @ SV1 ) ) ) )
= $false )
| ( ( sK1_SY0 @ ( SV1 @ ( sK4_SY48 @ SV1 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[69]) ).
thf(77,plain,
! [SV7: a,SV1: a > a] :
( ( ( ~ ( ~ ~ ( ( ( sK3_SY49 @ SV1 )
!= ( SV1 @ ( sK8_SV9 @ SV7 @ SV1 ) ) )
| ~ ( sK2_SY28 @ ( sK8_SV9 @ SV7 @ SV1 ) ) )
| ( SV7
!= ( sK8_SV9 @ SV7 @ SV1 ) ) ) )
= $false )
| ( ( sK1_SY0 @ ( SV1 @ ( sK4_SY48 @ SV1 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[69]) ).
thf(78,plain,
! [SV5: a,SV3: a] :
( ( ( SV3
= ( sK5_SY41 @ SV5 ) )
= $false )
| ( ( ~ ( sK1_SY0 @ SV5 ) )
= $true )
| ( ( ~ ( ~ ~ ( ( SV3
!= ( sK5_SY41 @ SV5 ) )
| ~ ( sK1_SY0 @ SV5 ) )
| ( ( sK6_SY58 @ SV3 )
!= SV5 ) ) )
= $true )
| ( ( sK2_SY28 @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[71]) ).
thf(79,plain,
! [SV5: a,SV3: a] :
( ( ( ~ ( ( SV3
!= ( sK5_SY41 @ SV5 ) )
| ~ ( sK1_SY0 @ SV5 ) ) )
= $true )
| ( ( ( sK6_SY58 @ SV3 )
= SV5 )
= $false )
| ( ( sK2_SY28 @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[72]) ).
thf(80,plain,
! [SV5: a,SV3: a] :
( ( ( ( sK6_SY58 @ SV3 )
= SV5 )
= $true )
| ( ( ( sK6_SY58 @ SV3 )
= SV5 )
= $false )
| ( ( sK2_SY28 @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[73]) ).
thf(81,plain,
! [SV6: a,SV1: a > a] :
( ( ( ~ ( ( ( sK3_SY49 @ SV1 )
!= ( SV1 @ ( sK7_SV8 @ SV6 @ SV1 ) ) )
| ~ ( sK2_SY28 @ ( sK7_SV8 @ SV6 @ SV1 ) ) ) )
= $true )
| ( ( SV6
= ( sK7_SV8 @ SV6 @ SV1 ) )
= $true )
| ( ( sK2_SY28 @ ( sK4_SY48 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[74]) ).
thf(82,plain,
! [SV6: a,SV1: a > a] :
( ( ( ~ ~ ( ( ( sK3_SY49 @ SV1 )
!= ( SV1 @ ( sK7_SV8 @ SV6 @ SV1 ) ) )
| ~ ( sK2_SY28 @ ( sK7_SV8 @ SV6 @ SV1 ) ) ) )
= $true )
| ( ( ( SV6
!= ( sK7_SV8 @ SV6 @ SV1 ) ) )
= $true )
| ( ( sK2_SY28 @ ( sK4_SY48 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[75]) ).
thf(83,plain,
! [SV7: a,SV1: a > a] :
( ( ( ~ ( ( ( sK3_SY49 @ SV1 )
!= ( SV1 @ ( sK8_SV9 @ SV7 @ SV1 ) ) )
| ~ ( sK2_SY28 @ ( sK8_SV9 @ SV7 @ SV1 ) ) )
| ( SV7
= ( sK8_SV9 @ SV7 @ SV1 ) ) )
= $true )
| ( ( sK1_SY0 @ ( SV1 @ ( sK4_SY48 @ SV1 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[76]) ).
thf(84,plain,
! [SV7: a,SV1: a > a] :
( ( ( ~ ~ ( ( ( sK3_SY49 @ SV1 )
!= ( SV1 @ ( sK8_SV9 @ SV7 @ SV1 ) ) )
| ~ ( sK2_SY28 @ ( sK8_SV9 @ SV7 @ SV1 ) ) )
| ( SV7
!= ( sK8_SV9 @ SV7 @ SV1 ) ) )
= $true )
| ( ( sK1_SY0 @ ( SV1 @ ( sK4_SY48 @ SV1 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[77]) ).
thf(85,plain,
! [SV3: a,SV5: a] :
( ( ( sK1_SY0 @ SV5 )
= $false )
| ( ( SV3
= ( sK5_SY41 @ SV5 ) )
= $false )
| ( ( ~ ( ~ ~ ( ( SV3
!= ( sK5_SY41 @ SV5 ) )
| ~ ( sK1_SY0 @ SV5 ) )
| ( ( sK6_SY58 @ SV3 )
!= SV5 ) ) )
= $true )
| ( ( sK2_SY28 @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[78]) ).
thf(86,plain,
! [SV5: a,SV3: a] :
( ( ( ( SV3
!= ( sK5_SY41 @ SV5 ) )
| ~ ( sK1_SY0 @ SV5 ) )
= $false )
| ( ( ( sK6_SY58 @ SV3 )
= SV5 )
= $false )
| ( ( sK2_SY28 @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[79]) ).
thf(87,plain,
! [SV6: a,SV1: a > a] :
( ( ( ( ( sK3_SY49 @ SV1 )
!= ( SV1 @ ( sK7_SV8 @ SV6 @ SV1 ) ) )
| ~ ( sK2_SY28 @ ( sK7_SV8 @ SV6 @ SV1 ) ) )
= $false )
| ( ( SV6
= ( sK7_SV8 @ SV6 @ SV1 ) )
= $true )
| ( ( sK2_SY28 @ ( sK4_SY48 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[81]) ).
thf(88,plain,
! [SV6: a,SV1: a > a] :
( ( ( ~ ( ( ( sK3_SY49 @ SV1 )
!= ( SV1 @ ( sK7_SV8 @ SV6 @ SV1 ) ) )
| ~ ( sK2_SY28 @ ( sK7_SV8 @ SV6 @ SV1 ) ) ) )
= $false )
| ( ( ( SV6
!= ( sK7_SV8 @ SV6 @ SV1 ) ) )
= $true )
| ( ( sK2_SY28 @ ( sK4_SY48 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[82]) ).
thf(89,plain,
! [SV7: a,SV1: a > a] :
( ( ( ~ ( ( ( sK3_SY49 @ SV1 )
!= ( SV1 @ ( sK8_SV9 @ SV7 @ SV1 ) ) )
| ~ ( sK2_SY28 @ ( sK8_SV9 @ SV7 @ SV1 ) ) ) )
= $true )
| ( ( SV7
= ( sK8_SV9 @ SV7 @ SV1 ) )
= $true )
| ( ( sK1_SY0 @ ( SV1 @ ( sK4_SY48 @ SV1 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[83]) ).
thf(90,plain,
! [SV7: a,SV1: a > a] :
( ( ( ~ ~ ( ( ( sK3_SY49 @ SV1 )
!= ( SV1 @ ( sK8_SV9 @ SV7 @ SV1 ) ) )
| ~ ( sK2_SY28 @ ( sK8_SV9 @ SV7 @ SV1 ) ) ) )
= $true )
| ( ( ( SV7
!= ( sK8_SV9 @ SV7 @ SV1 ) ) )
= $true )
| ( ( sK1_SY0 @ ( SV1 @ ( sK4_SY48 @ SV1 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[84]) ).
thf(91,plain,
! [SV5: a,SV3: a] :
( ( ( ~ ~ ( ( SV3
!= ( sK5_SY41 @ SV5 ) )
| ~ ( sK1_SY0 @ SV5 ) )
| ( ( sK6_SY58 @ SV3 )
!= SV5 ) )
= $false )
| ( ( SV3
= ( sK5_SY41 @ SV5 ) )
= $false )
| ( ( sK1_SY0 @ SV5 )
= $false )
| ( ( sK2_SY28 @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[85]) ).
thf(92,plain,
! [SV5: a,SV3: a] :
( ( ( ( SV3
!= ( sK5_SY41 @ SV5 ) ) )
= $false )
| ( ( ( sK6_SY58 @ SV3 )
= SV5 )
= $false )
| ( ( sK2_SY28 @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[86]) ).
thf(93,plain,
! [SV3: a,SV5: a] :
( ( ( ~ ( sK1_SY0 @ SV5 ) )
= $false )
| ( ( ( sK6_SY58 @ SV3 )
= SV5 )
= $false )
| ( ( sK2_SY28 @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[86]) ).
thf(94,plain,
! [SV6: a,SV1: a > a] :
( ( ( ( ( sK3_SY49 @ SV1 )
!= ( SV1 @ ( sK7_SV8 @ SV6 @ SV1 ) ) ) )
= $false )
| ( ( SV6
= ( sK7_SV8 @ SV6 @ SV1 ) )
= $true )
| ( ( sK2_SY28 @ ( sK4_SY48 @ SV1 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[87]) ).
thf(95,plain,
! [SV1: a > a,SV6: a] :
( ( ( ~ ( sK2_SY28 @ ( sK7_SV8 @ SV6 @ SV1 ) ) )
= $false )
| ( ( SV6
= ( sK7_SV8 @ SV6 @ SV1 ) )
= $true )
| ( ( sK2_SY28 @ ( sK4_SY48 @ SV1 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[87]) ).
thf(96,plain,
! [SV6: a,SV1: a > a] :
( ( ( ( ( sK3_SY49 @ SV1 )
!= ( SV1 @ ( sK7_SV8 @ SV6 @ SV1 ) ) )
| ~ ( sK2_SY28 @ ( sK7_SV8 @ SV6 @ SV1 ) ) )
= $true )
| ( ( ( SV6
!= ( sK7_SV8 @ SV6 @ SV1 ) ) )
= $true )
| ( ( sK2_SY28 @ ( sK4_SY48 @ SV1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[88]) ).
thf(97,plain,
! [SV7: a,SV1: a > a] :
( ( ( ( ( sK3_SY49 @ SV1 )
!= ( SV1 @ ( sK8_SV9 @ SV7 @ SV1 ) ) )
| ~ ( sK2_SY28 @ ( sK8_SV9 @ SV7 @ SV1 ) ) )
= $false )
| ( ( SV7
= ( sK8_SV9 @ SV7 @ SV1 ) )
= $true )
| ( ( sK1_SY0 @ ( SV1 @ ( sK4_SY48 @ SV1 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[89]) ).
thf(98,plain,
! [SV7: a,SV1: a > a] :
( ( ( ~ ( ( ( sK3_SY49 @ SV1 )
!= ( SV1 @ ( sK8_SV9 @ SV7 @ SV1 ) ) )
| ~ ( sK2_SY28 @ ( sK8_SV9 @ SV7 @ SV1 ) ) ) )
= $false )
| ( ( ( SV7
!= ( sK8_SV9 @ SV7 @ SV1 ) ) )
= $true )
| ( ( sK1_SY0 @ ( SV1 @ ( sK4_SY48 @ SV1 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[90]) ).
thf(99,plain,
! [SV5: a,SV3: a] :
( ( ( ~ ~ ( ( SV3
!= ( sK5_SY41 @ SV5 ) )
| ~ ( sK1_SY0 @ SV5 ) ) )
= $false )
| ( ( SV3
= ( sK5_SY41 @ SV5 ) )
= $false )
| ( ( sK1_SY0 @ SV5 )
= $false )
| ( ( sK2_SY28 @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[91]) ).
thf(100,plain,
! [SV5: a,SV3: a] :
( ( ( ( ( sK6_SY58 @ SV3 )
!= SV5 ) )
= $false )
| ( ( SV3
= ( sK5_SY41 @ SV5 ) )
= $false )
| ( ( sK1_SY0 @ SV5 )
= $false )
| ( ( sK2_SY28 @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[91]) ).
thf(101,plain,
! [SV5: a,SV3: a] :
( ( ( SV3
= ( sK5_SY41 @ SV5 ) )
= $true )
| ( ( ( sK6_SY58 @ SV3 )
= SV5 )
= $false )
| ( ( sK2_SY28 @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[92]) ).
thf(102,plain,
! [SV3: a,SV5: a] :
( ( ( sK1_SY0 @ SV5 )
= $true )
| ( ( ( sK6_SY58 @ SV3 )
= SV5 )
= $false )
| ( ( sK2_SY28 @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[93]) ).
thf(103,plain,
! [SV6: a,SV1: a > a] :
( ( ( ( sK3_SY49 @ SV1 )
= ( SV1 @ ( sK7_SV8 @ SV6 @ SV1 ) ) )
= $true )
| ( ( SV6
= ( sK7_SV8 @ SV6 @ SV1 ) )
= $true )
| ( ( sK2_SY28 @ ( sK4_SY48 @ SV1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[94]) ).
thf(104,plain,
! [SV1: a > a,SV6: a] :
( ( ( sK2_SY28 @ ( sK7_SV8 @ SV6 @ SV1 ) )
= $true )
| ( ( SV6
= ( sK7_SV8 @ SV6 @ SV1 ) )
= $true )
| ( ( sK2_SY28 @ ( sK4_SY48 @ SV1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[95]) ).
thf(105,plain,
! [SV6: a,SV1: a > a] :
( ( ( ( ( sK3_SY49 @ SV1 )
!= ( SV1 @ ( sK7_SV8 @ SV6 @ SV1 ) ) ) )
= $true )
| ( ( ~ ( sK2_SY28 @ ( sK7_SV8 @ SV6 @ SV1 ) ) )
= $true )
| ( ( ( SV6
!= ( sK7_SV8 @ SV6 @ SV1 ) ) )
= $true )
| ( ( sK2_SY28 @ ( sK4_SY48 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[96]) ).
thf(106,plain,
! [SV7: a,SV1: a > a] :
( ( ( ( ( sK3_SY49 @ SV1 )
!= ( SV1 @ ( sK8_SV9 @ SV7 @ SV1 ) ) ) )
= $false )
| ( ( SV7
= ( sK8_SV9 @ SV7 @ SV1 ) )
= $true )
| ( ( sK1_SY0 @ ( SV1 @ ( sK4_SY48 @ SV1 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[97]) ).
thf(107,plain,
! [SV1: a > a,SV7: a] :
( ( ( ~ ( sK2_SY28 @ ( sK8_SV9 @ SV7 @ SV1 ) ) )
= $false )
| ( ( SV7
= ( sK8_SV9 @ SV7 @ SV1 ) )
= $true )
| ( ( sK1_SY0 @ ( SV1 @ ( sK4_SY48 @ SV1 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[97]) ).
thf(108,plain,
! [SV7: a,SV1: a > a] :
( ( ( ( ( sK3_SY49 @ SV1 )
!= ( SV1 @ ( sK8_SV9 @ SV7 @ SV1 ) ) )
| ~ ( sK2_SY28 @ ( sK8_SV9 @ SV7 @ SV1 ) ) )
= $true )
| ( ( ( SV7
!= ( sK8_SV9 @ SV7 @ SV1 ) ) )
= $true )
| ( ( sK1_SY0 @ ( SV1 @ ( sK4_SY48 @ SV1 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[98]) ).
thf(109,plain,
! [SV5: a,SV3: a] :
( ( ( ~ ( ( SV3
!= ( sK5_SY41 @ SV5 ) )
| ~ ( sK1_SY0 @ SV5 ) ) )
= $true )
| ( ( SV3
= ( sK5_SY41 @ SV5 ) )
= $false )
| ( ( sK1_SY0 @ SV5 )
= $false )
| ( ( sK2_SY28 @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[99]) ).
thf(110,plain,
! [SV5: a,SV3: a] :
( ( ( ( sK6_SY58 @ SV3 )
= SV5 )
= $true )
| ( ( SV3
= ( sK5_SY41 @ SV5 ) )
= $false )
| ( ( sK1_SY0 @ SV5 )
= $false )
| ( ( sK2_SY28 @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[100]) ).
thf(111,plain,
! [SV6: a,SV1: a > a] :
( ( ( ( sK3_SY49 @ SV1 )
= ( SV1 @ ( sK7_SV8 @ SV6 @ SV1 ) ) )
= $false )
| ( ( ~ ( sK2_SY28 @ ( sK7_SV8 @ SV6 @ SV1 ) ) )
= $true )
| ( ( ( SV6
!= ( sK7_SV8 @ SV6 @ SV1 ) ) )
= $true )
| ( ( sK2_SY28 @ ( sK4_SY48 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[105]) ).
thf(112,plain,
! [SV7: a,SV1: a > a] :
( ( ( ( sK3_SY49 @ SV1 )
= ( SV1 @ ( sK8_SV9 @ SV7 @ SV1 ) ) )
= $true )
| ( ( SV7
= ( sK8_SV9 @ SV7 @ SV1 ) )
= $true )
| ( ( sK1_SY0 @ ( SV1 @ ( sK4_SY48 @ SV1 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[106]) ).
thf(113,plain,
! [SV1: a > a,SV7: a] :
( ( ( sK2_SY28 @ ( sK8_SV9 @ SV7 @ SV1 ) )
= $true )
| ( ( SV7
= ( sK8_SV9 @ SV7 @ SV1 ) )
= $true )
| ( ( sK1_SY0 @ ( SV1 @ ( sK4_SY48 @ SV1 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[107]) ).
thf(114,plain,
! [SV7: a,SV1: a > a] :
( ( ( ( ( sK3_SY49 @ SV1 )
!= ( SV1 @ ( sK8_SV9 @ SV7 @ SV1 ) ) ) )
= $true )
| ( ( ~ ( sK2_SY28 @ ( sK8_SV9 @ SV7 @ SV1 ) ) )
= $true )
| ( ( ( SV7
!= ( sK8_SV9 @ SV7 @ SV1 ) ) )
= $true )
| ( ( sK1_SY0 @ ( SV1 @ ( sK4_SY48 @ SV1 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[108]) ).
thf(115,plain,
! [SV5: a,SV3: a] :
( ( ( ( SV3
!= ( sK5_SY41 @ SV5 ) )
| ~ ( sK1_SY0 @ SV5 ) )
= $false )
| ( ( SV3
= ( sK5_SY41 @ SV5 ) )
= $false )
| ( ( sK1_SY0 @ SV5 )
= $false )
| ( ( sK2_SY28 @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[109]) ).
thf(116,plain,
! [SV1: a > a,SV6: a] :
( ( ( sK2_SY28 @ ( sK7_SV8 @ SV6 @ SV1 ) )
= $false )
| ( ( ( sK3_SY49 @ SV1 )
= ( SV1 @ ( sK7_SV8 @ SV6 @ SV1 ) ) )
= $false )
| ( ( ( SV6
!= ( sK7_SV8 @ SV6 @ SV1 ) ) )
= $true )
| ( ( sK2_SY28 @ ( sK4_SY48 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[111]) ).
thf(117,plain,
! [SV7: a,SV1: a > a] :
( ( ( ( sK3_SY49 @ SV1 )
= ( SV1 @ ( sK8_SV9 @ SV7 @ SV1 ) ) )
= $false )
| ( ( ~ ( sK2_SY28 @ ( sK8_SV9 @ SV7 @ SV1 ) ) )
= $true )
| ( ( ( SV7
!= ( sK8_SV9 @ SV7 @ SV1 ) ) )
= $true )
| ( ( sK1_SY0 @ ( SV1 @ ( sK4_SY48 @ SV1 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[114]) ).
thf(118,plain,
! [SV5: a,SV3: a] :
( ( ( ( SV3
!= ( sK5_SY41 @ SV5 ) ) )
= $false )
| ( ( SV3
= ( sK5_SY41 @ SV5 ) )
= $false )
| ( ( sK1_SY0 @ SV5 )
= $false )
| ( ( sK2_SY28 @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[115]) ).
thf(119,plain,
! [SV3: a,SV5: a] :
( ( ( ~ ( sK1_SY0 @ SV5 ) )
= $false )
| ( ( SV3
= ( sK5_SY41 @ SV5 ) )
= $false )
| ( ( sK1_SY0 @ SV5 )
= $false )
| ( ( sK2_SY28 @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[115]) ).
thf(120,plain,
! [SV1: a > a,SV6: a] :
( ( ( SV6
= ( sK7_SV8 @ SV6 @ SV1 ) )
= $false )
| ( ( ( sK3_SY49 @ SV1 )
= ( SV1 @ ( sK7_SV8 @ SV6 @ SV1 ) ) )
= $false )
| ( ( sK2_SY28 @ ( sK7_SV8 @ SV6 @ SV1 ) )
= $false )
| ( ( sK2_SY28 @ ( sK4_SY48 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[116]) ).
thf(121,plain,
! [SV1: a > a,SV7: a] :
( ( ( sK2_SY28 @ ( sK8_SV9 @ SV7 @ SV1 ) )
= $false )
| ( ( ( sK3_SY49 @ SV1 )
= ( SV1 @ ( sK8_SV9 @ SV7 @ SV1 ) ) )
= $false )
| ( ( ( SV7
!= ( sK8_SV9 @ SV7 @ SV1 ) ) )
= $true )
| ( ( sK1_SY0 @ ( SV1 @ ( sK4_SY48 @ SV1 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[117]) ).
thf(122,plain,
! [SV5: a,SV3: a] :
( ( ( SV3
= ( sK5_SY41 @ SV5 ) )
= $true )
| ( ( SV3
= ( sK5_SY41 @ SV5 ) )
= $false )
| ( ( sK1_SY0 @ SV5 )
= $false )
| ( ( sK2_SY28 @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[118]) ).
thf(123,plain,
! [SV3: a,SV5: a] :
( ( ( sK1_SY0 @ SV5 )
= $true )
| ( ( SV3
= ( sK5_SY41 @ SV5 ) )
= $false )
| ( ( sK1_SY0 @ SV5 )
= $false )
| ( ( sK2_SY28 @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[119]) ).
thf(124,plain,
! [SV1: a > a,SV7: a] :
( ( ( SV7
= ( sK8_SV9 @ SV7 @ SV1 ) )
= $false )
| ( ( ( sK3_SY49 @ SV1 )
= ( SV1 @ ( sK8_SV9 @ SV7 @ SV1 ) ) )
= $false )
| ( ( sK2_SY28 @ ( sK8_SV9 @ SV7 @ SV1 ) )
= $false )
| ( ( sK1_SY0 @ ( SV1 @ ( sK4_SY48 @ SV1 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[121]) ).
thf(125,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[33,124,123,122,120,113,112,110,104,103,102,101,80,70,63,59,54,49,46,40,39]) ).
thf(126,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[125]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SEV089^5 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.32 % Computer : n028.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Tue Jun 28 04:54:56 EDT 2022
% 0.12/0.32 % CPUTime :
% 0.12/0.33
% 0.12/0.33 No.of.Axioms: 0
% 0.12/0.33
% 0.12/0.33 Length.of.Defs: 0
% 0.12/0.33
% 0.12/0.33 Contains.Choice.Funs: false
% 0.12/0.33 (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)....
% 0.17/0.46
% 0.17/0.46 ********************************
% 0.17/0.46 * All subproblems solved! *
% 0.17/0.46 ********************************
% 0.17/0.46 % SZS status Theorem for /export/starexec/sandbox/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:125,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.17/0.47
% 0.17/0.47 %**** Beginning of derivation protocol ****
% 0.17/0.47 % SZS output start CNFRefutation
% See solution above
% 0.17/0.47
% 0.17/0.47 %**** End of derivation protocol ****
% 0.17/0.47 %**** no. of clauses in derivation: 126 ****
% 0.17/0.47 %**** clause counter: 125 ****
% 0.17/0.47
% 0.17/0.47 % SZS status Theorem for /export/starexec/sandbox/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:125,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------