TSTP Solution File: SEV094^5 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SEV094^5 : 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 : n019.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 17:35:04 EDT 2022
% Result : Theorem 0.19s 0.43s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 9
% Syntax : Number of formulae : 112 ( 23 unt; 8 typ; 0 def)
% Number of atoms : 1015 ( 472 equ; 0 cnn)
% Maximal formula atoms : 6 ( 9 avg)
% Number of connectives : 1901 ( 449 ~; 338 |; 66 &;1004 @)
% ( 0 <=>; 44 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 96 ( 96 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 248 ( 0 ^ 222 !; 26 ?; 248 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a,type,
a: $tType ).
thf(tp_sK1_Xx,type,
sK1_Xx: a > $o ).
thf(tp_sK2_SY12,type,
sK2_SY12: a > $o ).
thf(tp_sK3_SY30,type,
sK3_SY30: ( a > a ) > a ).
thf(tp_sK4_SY34,type,
sK4_SY34: a > ( a > a ) > a ).
thf(tp_sK5_SY29,type,
sK5_SY29: ( a > a ) > a ).
thf(tp_sK6_SY23,type,
sK6_SY23: a > a ).
thf(tp_sK7_SY37,type,
sK7_SY37: 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 )
=> ? [Xx0: a] :
( ( Xx @ Xx0 )
& ( Xy0
= ( Xs @ Xx0 ) )
& ! [Xz: a] :
( ( ( Xx @ Xz )
& ( Xy0
= ( Xs @ Xz ) ) )
=> ( Xz = Xx0 ) ) ) ) )
=> ? [Xs: a > a] :
( ! [Xx0: a] :
( ( Xy @ Xx0 )
=> ( Xx @ ( Xs @ Xx0 ) ) )
& ! [Xy0: a] :
( ( Xx @ Xy0 )
=> ? [Xx0: a] :
( ( Xy @ Xx0 )
& ( Xy0
= ( Xs @ Xx0 ) )
& ! [Xz: a] :
( ( ( Xy @ Xz )
& ( Xy0
= ( Xs @ Xz ) ) )
=> ( Xz = Xx0 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cEQP1_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 )
=> ? [Xx0: a] :
( ( Xx @ Xx0 )
& ( Xy0
= ( Xs @ Xx0 ) )
& ! [Xz: a] :
( ( ( Xx @ Xz )
& ( Xy0
= ( Xs @ Xz ) ) )
=> ( Xz = Xx0 ) ) ) ) )
=> ? [Xs: a > a] :
( ! [Xx0: a] :
( ( Xy @ Xx0 )
=> ( Xx @ ( Xs @ Xx0 ) ) )
& ! [Xy0: a] :
( ( Xx @ Xy0 )
=> ? [Xx0: a] :
( ( Xy @ Xx0 )
& ( Xy0
= ( Xs @ Xx0 ) )
& ! [Xz: a] :
( ( ( Xy @ Xz )
& ( Xy0
= ( Xs @ Xz ) ) )
=> ( Xz = Xx0 ) ) ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ! [Xx: a > $o,Xy: a > $o] :
( ? [Xs: a > a] :
( ! [Xx0: a] :
( ( Xx @ Xx0 )
=> ( Xy @ ( Xs @ Xx0 ) ) )
& ! [Xy0: a] :
( ( Xy @ Xy0 )
=> ? [Xx0: a] :
( ( Xx @ Xx0 )
& ( Xy0
= ( Xs @ Xx0 ) )
& ! [Xz: a] :
( ( ( Xx @ Xz )
& ( Xy0
= ( Xs @ Xz ) ) )
=> ( Xz = Xx0 ) ) ) ) )
=> ? [Xs: a > a] :
( ! [Xx0: a] :
( ( Xy @ Xx0 )
=> ( Xx @ ( Xs @ Xx0 ) ) )
& ! [Xy0: a] :
( ( Xx @ Xy0 )
=> ? [Xx0: a] :
( ( Xy @ Xx0 )
& ( Xy0
= ( Xs @ Xx0 ) )
& ! [Xz: a] :
( ( ( Xy @ Xz )
& ( Xy0
= ( Xs @ Xz ) ) )
=> ( Xz = Xx0 ) ) ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ! [SY12: a > $o] :
( ? [SY13: a > a] :
( ! [SY14: a] :
( ( sK1_Xx @ SY14 )
=> ( SY12 @ ( SY13 @ SY14 ) ) )
& ! [SY15: a] :
( ( SY12 @ SY15 )
=> ? [SY16: a] :
( ( sK1_Xx @ SY16 )
& ( SY15
= ( SY13 @ SY16 ) )
& ! [SY17: a] :
( ( ( sK1_Xx @ SY17 )
& ( SY15
= ( SY13 @ SY17 ) ) )
=> ( SY17 = SY16 ) ) ) ) )
=> ? [SY18: a > a] :
( ! [SY19: a] :
( ( SY12 @ SY19 )
=> ( sK1_Xx @ ( SY18 @ SY19 ) ) )
& ! [SY20: a] :
( ( sK1_Xx @ SY20 )
=> ? [Xx0: a] :
( ( SY12 @ Xx0 )
& ( SY20
= ( SY18 @ Xx0 ) )
& ! [Xz: a] :
( ( ( SY12 @ Xz )
& ( SY20
= ( SY18 @ Xz ) ) )
=> ( Xz = Xx0 ) ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[3]) ).
thf(5,plain,
( ( ? [SY23: a > a] :
( ! [SY24: a] :
( ( sK1_Xx @ SY24 )
=> ( sK2_SY12 @ ( SY23 @ SY24 ) ) )
& ! [SY25: a] :
( ( sK2_SY12 @ SY25 )
=> ? [SY16: a] :
( ( sK1_Xx @ SY16 )
& ( SY25
= ( SY23 @ SY16 ) )
& ! [SY17: a] :
( ( ( sK1_Xx @ SY17 )
& ( SY25
= ( SY23 @ SY17 ) ) )
=> ( SY17 = SY16 ) ) ) ) )
=> ? [SY28: a > a] :
( ! [SY29: a] :
( ( sK2_SY12 @ SY29 )
=> ( sK1_Xx @ ( SY28 @ SY29 ) ) )
& ! [SY30: a] :
( ( sK1_Xx @ SY30 )
=> ? [SY31: a] :
( ( sK2_SY12 @ SY31 )
& ( SY30
= ( SY28 @ SY31 ) )
& ! [SY32: a] :
( ( ( sK2_SY12 @ SY32 )
& ( SY30
= ( SY28 @ SY32 ) ) )
=> ( SY32 = SY31 ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[4]) ).
thf(6,plain,
( ( ? [SY23: a > a] :
( ! [SY24: a] :
( ( sK1_Xx @ SY24 )
=> ( sK2_SY12 @ ( SY23 @ SY24 ) ) )
& ! [SY25: a] :
( ( sK2_SY12 @ SY25 )
=> ? [SY16: a] :
( ( sK1_Xx @ SY16 )
& ( SY25
= ( SY23 @ SY16 ) )
& ! [SY17: a] :
( ( ( sK1_Xx @ SY17 )
& ( SY25
= ( SY23 @ SY17 ) ) )
=> ( SY17 = SY16 ) ) ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[5]) ).
thf(7,plain,
( ( ? [SY28: a > a] :
( ! [SY29: a] :
( ( sK2_SY12 @ SY29 )
=> ( sK1_Xx @ ( SY28 @ SY29 ) ) )
& ! [SY30: a] :
( ( sK1_Xx @ SY30 )
=> ? [SY31: a] :
( ( sK2_SY12 @ SY31 )
& ( SY30
= ( SY28 @ SY31 ) )
& ! [SY32: a] :
( ( ( sK2_SY12 @ SY32 )
& ( SY30
= ( SY28 @ SY32 ) ) )
=> ( SY32 = SY31 ) ) ) ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[5]) ).
thf(8,plain,
( ( ~ ? [SY28: a > a] :
( ! [SY29: a] :
( ( sK2_SY12 @ SY29 )
=> ( sK1_Xx @ ( SY28 @ SY29 ) ) )
& ! [SY30: a] :
( ( sK1_Xx @ SY30 )
=> ? [SY31: a] :
( ( sK2_SY12 @ SY31 )
& ( SY30
= ( SY28 @ SY31 ) )
& ! [SY32: a] :
( ( ( sK2_SY12 @ SY32 )
& ( SY30
= ( SY28 @ SY32 ) ) )
=> ( SY32 = SY31 ) ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[7]) ).
thf(9,plain,
( ( ! [SY28: a > a] :
( ( ( sK2_SY12 @ ( sK5_SY29 @ SY28 ) )
& ~ ( sK1_Xx @ ( SY28 @ ( sK5_SY29 @ SY28 ) ) ) )
| ( ( sK1_Xx @ ( sK3_SY30 @ SY28 ) )
& ! [SY33: a] :
( ( ( ( sK3_SY30 @ SY28 )
= ( SY28 @ ( sK4_SY34 @ SY33 @ SY28 ) ) )
& ( sK2_SY12 @ ( sK4_SY34 @ SY33 @ SY28 ) )
& ( ( sK4_SY34 @ SY33 @ SY28 )
!= SY33 ) )
| ( ( sK3_SY30 @ SY28 )
!= ( SY28 @ SY33 ) )
| ~ ( sK2_SY12 @ SY33 ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[8]) ).
thf(10,plain,
( ( ! [SY35: a] :
( ~ ( sK1_Xx @ SY35 )
| ( sK2_SY12 @ ( sK6_SY23 @ SY35 ) ) )
& ! [SY36: a] :
( ~ ( sK2_SY12 @ SY36 )
| ( ! [SY39: a] :
( ( SY36
!= ( sK6_SY23 @ SY39 ) )
| ~ ( sK1_Xx @ SY39 )
| ( SY39
= ( sK7_SY37 @ SY36 ) ) )
& ( SY36
= ( sK6_SY23 @ ( sK7_SY37 @ SY36 ) ) )
& ( sK1_Xx @ ( sK7_SY37 @ SY36 ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[6]) ).
thf(11,plain,
( ( ! [SY35: a] :
( ~ ( sK1_Xx @ SY35 )
| ( sK2_SY12 @ ( sK6_SY23 @ SY35 ) ) )
& ! [SY36: a] :
( ~ ( sK2_SY12 @ SY36 )
| ( ! [SY39: a] :
( ( SY36
!= ( sK6_SY23 @ SY39 ) )
| ~ ( sK1_Xx @ SY39 )
| ( SY39
= ( sK7_SY37 @ SY36 ) ) )
& ( SY36
= ( sK6_SY23 @ ( sK7_SY37 @ SY36 ) ) )
& ( sK1_Xx @ ( sK7_SY37 @ SY36 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[10]) ).
thf(12,plain,
( ( ! [SY28: a > a] :
( ( ( sK2_SY12 @ ( sK5_SY29 @ SY28 ) )
& ~ ( sK1_Xx @ ( SY28 @ ( sK5_SY29 @ SY28 ) ) ) )
| ( ( sK1_Xx @ ( sK3_SY30 @ SY28 ) )
& ! [SY33: a] :
( ( ( ( sK3_SY30 @ SY28 )
= ( SY28 @ ( sK4_SY34 @ SY33 @ SY28 ) ) )
& ( sK2_SY12 @ ( sK4_SY34 @ SY33 @ SY28 ) )
& ( ( sK4_SY34 @ SY33 @ SY28 )
!= SY33 ) )
| ( ( sK3_SY30 @ SY28 )
!= ( SY28 @ SY33 ) )
| ~ ( sK2_SY12 @ SY33 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(13,plain,
( ( ! [SX0: a > a] :
( ~ ( ~ ( sK2_SY12 @ ( sK5_SY29 @ SX0 ) )
| ~ ~ ( sK1_Xx @ ( SX0 @ ( sK5_SY29 @ SX0 ) ) ) )
| ~ ( ~ ( sK1_Xx @ ( sK3_SY30 @ SX0 ) )
| ~ ! [SX1: a] :
( ~ ( ~ ~ ( ( ( sK3_SY30 @ SX0 )
!= ( SX0 @ ( sK4_SY34 @ SX1 @ SX0 ) ) )
| ~ ( sK2_SY12 @ ( sK4_SY34 @ SX1 @ SX0 ) ) )
| ~ ( ( ( sK4_SY34 @ SX1 @ SX0 )
!= SX1 ) ) )
| ( ( sK3_SY30 @ SX0 )
!= ( SX0 @ SX1 ) )
| ~ ( sK2_SY12 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(14,plain,
( ( ~ ( ~ ! [SX0: a] :
( ~ ( sK1_Xx @ SX0 )
| ( sK2_SY12 @ ( sK6_SY23 @ SX0 ) ) )
| ~ ! [SX0: a] :
( ~ ( sK2_SY12 @ SX0 )
| ~ ( ~ ! [SX1: a] :
( ( SX0
!= ( sK6_SY23 @ SX1 ) )
| ~ ( sK1_Xx @ SX1 )
| ( SX1
= ( sK7_SY37 @ SX0 ) ) )
| ~ ~ ( ( SX0
!= ( sK6_SY23 @ ( sK7_SY37 @ SX0 ) ) )
| ~ ( sK1_Xx @ ( sK7_SY37 @ SX0 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(15,plain,
! [SV1: a > a] :
( ( ~ ( ~ ( sK2_SY12 @ ( sK5_SY29 @ SV1 ) )
| ~ ~ ( sK1_Xx @ ( SV1 @ ( sK5_SY29 @ SV1 ) ) ) )
| ~ ( ~ ( sK1_Xx @ ( sK3_SY30 @ SV1 ) )
| ~ ! [SY40: a] :
( ~ ( ~ ~ ( ( ( sK3_SY30 @ SV1 )
!= ( SV1 @ ( sK4_SY34 @ SY40 @ SV1 ) ) )
| ~ ( sK2_SY12 @ ( sK4_SY34 @ SY40 @ SV1 ) ) )
| ~ ( ( ( sK4_SY34 @ SY40 @ SV1 )
!= SY40 ) ) )
| ( ( sK3_SY30 @ SV1 )
!= ( SV1 @ SY40 ) )
| ~ ( sK2_SY12 @ SY40 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[13]) ).
thf(16,plain,
( ( ~ ! [SX0: a] :
( ~ ( sK1_Xx @ SX0 )
| ( sK2_SY12 @ ( sK6_SY23 @ SX0 ) ) )
| ~ ! [SX0: a] :
( ~ ( sK2_SY12 @ SX0 )
| ~ ( ~ ! [SX1: a] :
( ( SX0
!= ( sK6_SY23 @ SX1 ) )
| ~ ( sK1_Xx @ SX1 )
| ( SX1
= ( sK7_SY37 @ SX0 ) ) )
| ~ ~ ( ( SX0
!= ( sK6_SY23 @ ( sK7_SY37 @ SX0 ) ) )
| ~ ( sK1_Xx @ ( sK7_SY37 @ SX0 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[14]) ).
thf(17,plain,
! [SV1: a > a] :
( ( ( ~ ( ~ ( sK2_SY12 @ ( sK5_SY29 @ SV1 ) )
| ~ ~ ( sK1_Xx @ ( SV1 @ ( sK5_SY29 @ SV1 ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( sK1_Xx @ ( sK3_SY30 @ SV1 ) )
| ~ ! [SY40: a] :
( ~ ( ~ ~ ( ( ( sK3_SY30 @ SV1 )
!= ( SV1 @ ( sK4_SY34 @ SY40 @ SV1 ) ) )
| ~ ( sK2_SY12 @ ( sK4_SY34 @ SY40 @ SV1 ) ) )
| ~ ( ( ( sK4_SY34 @ SY40 @ SV1 )
!= SY40 ) ) )
| ( ( sK3_SY30 @ SV1 )
!= ( SV1 @ SY40 ) )
| ~ ( sK2_SY12 @ SY40 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[15]) ).
thf(18,plain,
( ( ~ ! [SX0: a] :
( ~ ( sK1_Xx @ SX0 )
| ( sK2_SY12 @ ( sK6_SY23 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[16]) ).
thf(19,plain,
( ( ~ ! [SX0: a] :
( ~ ( sK2_SY12 @ SX0 )
| ~ ( ~ ! [SX1: a] :
( ( SX0
!= ( sK6_SY23 @ SX1 ) )
| ~ ( sK1_Xx @ SX1 )
| ( SX1
= ( sK7_SY37 @ SX0 ) ) )
| ~ ~ ( ( SX0
!= ( sK6_SY23 @ ( sK7_SY37 @ SX0 ) ) )
| ~ ( sK1_Xx @ ( sK7_SY37 @ SX0 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[16]) ).
thf(20,plain,
! [SV1: a > a] :
( ( ( ~ ( sK2_SY12 @ ( sK5_SY29 @ SV1 ) )
| ~ ~ ( sK1_Xx @ ( SV1 @ ( sK5_SY29 @ SV1 ) ) ) )
= $false )
| ( ( ~ ( ~ ( sK1_Xx @ ( sK3_SY30 @ SV1 ) )
| ~ ! [SY40: a] :
( ~ ( ~ ~ ( ( ( sK3_SY30 @ SV1 )
!= ( SV1 @ ( sK4_SY34 @ SY40 @ SV1 ) ) )
| ~ ( sK2_SY12 @ ( sK4_SY34 @ SY40 @ SV1 ) ) )
| ~ ( ( ( sK4_SY34 @ SY40 @ SV1 )
!= SY40 ) ) )
| ( ( sK3_SY30 @ SV1 )
!= ( SV1 @ SY40 ) )
| ~ ( sK2_SY12 @ SY40 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[17]) ).
thf(21,plain,
( ( ! [SX0: a] :
( ~ ( sK1_Xx @ SX0 )
| ( sK2_SY12 @ ( sK6_SY23 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[18]) ).
thf(22,plain,
( ( ! [SX0: a] :
( ~ ( sK2_SY12 @ SX0 )
| ~ ( ~ ! [SX1: a] :
( ( SX0
!= ( sK6_SY23 @ SX1 ) )
| ~ ( sK1_Xx @ SX1 )
| ( SX1
= ( sK7_SY37 @ SX0 ) ) )
| ~ ~ ( ( SX0
!= ( sK6_SY23 @ ( sK7_SY37 @ SX0 ) ) )
| ~ ( sK1_Xx @ ( sK7_SY37 @ SX0 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[19]) ).
thf(23,plain,
! [SV1: a > a] :
( ( ( ~ ( sK2_SY12 @ ( sK5_SY29 @ SV1 ) ) )
= $false )
| ( ( ~ ( ~ ( sK1_Xx @ ( sK3_SY30 @ SV1 ) )
| ~ ! [SY40: a] :
( ~ ( ~ ~ ( ( ( sK3_SY30 @ SV1 )
!= ( SV1 @ ( sK4_SY34 @ SY40 @ SV1 ) ) )
| ~ ( sK2_SY12 @ ( sK4_SY34 @ SY40 @ SV1 ) ) )
| ~ ( ( ( sK4_SY34 @ SY40 @ SV1 )
!= SY40 ) ) )
| ( ( sK3_SY30 @ SV1 )
!= ( SV1 @ SY40 ) )
| ~ ( sK2_SY12 @ SY40 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[20]) ).
thf(24,plain,
! [SV1: a > a] :
( ( ( ~ ~ ( sK1_Xx @ ( SV1 @ ( sK5_SY29 @ SV1 ) ) ) )
= $false )
| ( ( ~ ( ~ ( sK1_Xx @ ( sK3_SY30 @ SV1 ) )
| ~ ! [SY40: a] :
( ~ ( ~ ~ ( ( ( sK3_SY30 @ SV1 )
!= ( SV1 @ ( sK4_SY34 @ SY40 @ SV1 ) ) )
| ~ ( sK2_SY12 @ ( sK4_SY34 @ SY40 @ SV1 ) ) )
| ~ ( ( ( sK4_SY34 @ SY40 @ SV1 )
!= SY40 ) ) )
| ( ( sK3_SY30 @ SV1 )
!= ( SV1 @ SY40 ) )
| ~ ( sK2_SY12 @ SY40 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[20]) ).
thf(25,plain,
! [SV2: a] :
( ( ~ ( sK1_Xx @ SV2 )
| ( sK2_SY12 @ ( sK6_SY23 @ SV2 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[21]) ).
thf(26,plain,
! [SV3: a] :
( ( ~ ( sK2_SY12 @ SV3 )
| ~ ( ~ ! [SY41: a] :
( ( SV3
!= ( sK6_SY23 @ SY41 ) )
| ~ ( sK1_Xx @ SY41 )
| ( SY41
= ( sK7_SY37 @ SV3 ) ) )
| ~ ~ ( ( SV3
!= ( sK6_SY23 @ ( sK7_SY37 @ SV3 ) ) )
| ~ ( sK1_Xx @ ( sK7_SY37 @ SV3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[22]) ).
thf(27,plain,
! [SV1: a > a] :
( ( ( sK2_SY12 @ ( sK5_SY29 @ SV1 ) )
= $true )
| ( ( ~ ( ~ ( sK1_Xx @ ( sK3_SY30 @ SV1 ) )
| ~ ! [SY40: a] :
( ~ ( ~ ~ ( ( ( sK3_SY30 @ SV1 )
!= ( SV1 @ ( sK4_SY34 @ SY40 @ SV1 ) ) )
| ~ ( sK2_SY12 @ ( sK4_SY34 @ SY40 @ SV1 ) ) )
| ~ ( ( ( sK4_SY34 @ SY40 @ SV1 )
!= SY40 ) ) )
| ( ( sK3_SY30 @ SV1 )
!= ( SV1 @ SY40 ) )
| ~ ( sK2_SY12 @ SY40 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[23]) ).
thf(28,plain,
! [SV1: a > a] :
( ( ( ~ ( sK1_Xx @ ( SV1 @ ( sK5_SY29 @ SV1 ) ) ) )
= $true )
| ( ( ~ ( ~ ( sK1_Xx @ ( sK3_SY30 @ SV1 ) )
| ~ ! [SY40: a] :
( ~ ( ~ ~ ( ( ( sK3_SY30 @ SV1 )
!= ( SV1 @ ( sK4_SY34 @ SY40 @ SV1 ) ) )
| ~ ( sK2_SY12 @ ( sK4_SY34 @ SY40 @ SV1 ) ) )
| ~ ( ( ( sK4_SY34 @ SY40 @ SV1 )
!= SY40 ) ) )
| ( ( sK3_SY30 @ SV1 )
!= ( SV1 @ SY40 ) )
| ~ ( sK2_SY12 @ SY40 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[24]) ).
thf(29,plain,
! [SV2: a] :
( ( ( ~ ( sK1_Xx @ SV2 ) )
= $true )
| ( ( sK2_SY12 @ ( sK6_SY23 @ SV2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[25]) ).
thf(30,plain,
! [SV3: a] :
( ( ( ~ ( sK2_SY12 @ SV3 ) )
= $true )
| ( ( ~ ( ~ ! [SY41: a] :
( ( SV3
!= ( sK6_SY23 @ SY41 ) )
| ~ ( sK1_Xx @ SY41 )
| ( SY41
= ( sK7_SY37 @ SV3 ) ) )
| ~ ~ ( ( SV3
!= ( sK6_SY23 @ ( sK7_SY37 @ SV3 ) ) )
| ~ ( sK1_Xx @ ( sK7_SY37 @ SV3 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[26]) ).
thf(31,plain,
! [SV1: a > a] :
( ( ( ~ ( sK1_Xx @ ( sK3_SY30 @ SV1 ) )
| ~ ! [SY40: a] :
( ~ ( ~ ~ ( ( ( sK3_SY30 @ SV1 )
!= ( SV1 @ ( sK4_SY34 @ SY40 @ SV1 ) ) )
| ~ ( sK2_SY12 @ ( sK4_SY34 @ SY40 @ SV1 ) ) )
| ~ ( ( ( sK4_SY34 @ SY40 @ SV1 )
!= SY40 ) ) )
| ( ( sK3_SY30 @ SV1 )
!= ( SV1 @ SY40 ) )
| ~ ( sK2_SY12 @ SY40 ) ) )
= $false )
| ( ( sK2_SY12 @ ( sK5_SY29 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[27]) ).
thf(32,plain,
! [SV1: a > a] :
( ( ( sK1_Xx @ ( SV1 @ ( sK5_SY29 @ SV1 ) ) )
= $false )
| ( ( ~ ( ~ ( sK1_Xx @ ( sK3_SY30 @ SV1 ) )
| ~ ! [SY40: a] :
( ~ ( ~ ~ ( ( ( sK3_SY30 @ SV1 )
!= ( SV1 @ ( sK4_SY34 @ SY40 @ SV1 ) ) )
| ~ ( sK2_SY12 @ ( sK4_SY34 @ SY40 @ SV1 ) ) )
| ~ ( ( ( sK4_SY34 @ SY40 @ SV1 )
!= SY40 ) ) )
| ( ( sK3_SY30 @ SV1 )
!= ( SV1 @ SY40 ) )
| ~ ( sK2_SY12 @ SY40 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[28]) ).
thf(33,plain,
! [SV2: a] :
( ( ( sK1_Xx @ SV2 )
= $false )
| ( ( sK2_SY12 @ ( sK6_SY23 @ SV2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[29]) ).
thf(34,plain,
! [SV3: a] :
( ( ( sK2_SY12 @ SV3 )
= $false )
| ( ( ~ ( ~ ! [SY41: a] :
( ( SV3
!= ( sK6_SY23 @ SY41 ) )
| ~ ( sK1_Xx @ SY41 )
| ( SY41
= ( sK7_SY37 @ SV3 ) ) )
| ~ ~ ( ( SV3
!= ( sK6_SY23 @ ( sK7_SY37 @ SV3 ) ) )
| ~ ( sK1_Xx @ ( sK7_SY37 @ SV3 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[30]) ).
thf(35,plain,
! [SV1: a > a] :
( ( ( ~ ( sK1_Xx @ ( sK3_SY30 @ SV1 ) ) )
= $false )
| ( ( sK2_SY12 @ ( sK5_SY29 @ SV1 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[31]) ).
thf(36,plain,
! [SV1: a > a] :
( ( ( ~ ! [SY40: a] :
( ~ ( ~ ~ ( ( ( sK3_SY30 @ SV1 )
!= ( SV1 @ ( sK4_SY34 @ SY40 @ SV1 ) ) )
| ~ ( sK2_SY12 @ ( sK4_SY34 @ SY40 @ SV1 ) ) )
| ~ ( ( ( sK4_SY34 @ SY40 @ SV1 )
!= SY40 ) ) )
| ( ( sK3_SY30 @ SV1 )
!= ( SV1 @ SY40 ) )
| ~ ( sK2_SY12 @ SY40 ) ) )
= $false )
| ( ( sK2_SY12 @ ( sK5_SY29 @ SV1 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[31]) ).
thf(37,plain,
! [SV1: a > a] :
( ( ( ~ ( sK1_Xx @ ( sK3_SY30 @ SV1 ) )
| ~ ! [SY40: a] :
( ~ ( ~ ~ ( ( ( sK3_SY30 @ SV1 )
!= ( SV1 @ ( sK4_SY34 @ SY40 @ SV1 ) ) )
| ~ ( sK2_SY12 @ ( sK4_SY34 @ SY40 @ SV1 ) ) )
| ~ ( ( ( sK4_SY34 @ SY40 @ SV1 )
!= SY40 ) ) )
| ( ( sK3_SY30 @ SV1 )
!= ( SV1 @ SY40 ) )
| ~ ( sK2_SY12 @ SY40 ) ) )
= $false )
| ( ( sK1_Xx @ ( SV1 @ ( sK5_SY29 @ SV1 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[32]) ).
thf(38,plain,
! [SV3: a] :
( ( ( ~ ! [SY41: a] :
( ( SV3
!= ( sK6_SY23 @ SY41 ) )
| ~ ( sK1_Xx @ SY41 )
| ( SY41
= ( sK7_SY37 @ SV3 ) ) )
| ~ ~ ( ( SV3
!= ( sK6_SY23 @ ( sK7_SY37 @ SV3 ) ) )
| ~ ( sK1_Xx @ ( sK7_SY37 @ SV3 ) ) ) )
= $false )
| ( ( sK2_SY12 @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[34]) ).
thf(39,plain,
! [SV1: a > a] :
( ( ( sK1_Xx @ ( sK3_SY30 @ SV1 ) )
= $true )
| ( ( sK2_SY12 @ ( sK5_SY29 @ SV1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[35]) ).
thf(40,plain,
! [SV1: a > a] :
( ( ( ! [SY40: a] :
( ~ ( ~ ~ ( ( ( sK3_SY30 @ SV1 )
!= ( SV1 @ ( sK4_SY34 @ SY40 @ SV1 ) ) )
| ~ ( sK2_SY12 @ ( sK4_SY34 @ SY40 @ SV1 ) ) )
| ~ ( ( ( sK4_SY34 @ SY40 @ SV1 )
!= SY40 ) ) )
| ( ( sK3_SY30 @ SV1 )
!= ( SV1 @ SY40 ) )
| ~ ( sK2_SY12 @ SY40 ) ) )
= $true )
| ( ( sK2_SY12 @ ( sK5_SY29 @ SV1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[36]) ).
thf(41,plain,
! [SV1: a > a] :
( ( ( ~ ( sK1_Xx @ ( sK3_SY30 @ SV1 ) ) )
= $false )
| ( ( sK1_Xx @ ( SV1 @ ( sK5_SY29 @ SV1 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[37]) ).
thf(42,plain,
! [SV1: a > a] :
( ( ( ~ ! [SY40: a] :
( ~ ( ~ ~ ( ( ( sK3_SY30 @ SV1 )
!= ( SV1 @ ( sK4_SY34 @ SY40 @ SV1 ) ) )
| ~ ( sK2_SY12 @ ( sK4_SY34 @ SY40 @ SV1 ) ) )
| ~ ( ( ( sK4_SY34 @ SY40 @ SV1 )
!= SY40 ) ) )
| ( ( sK3_SY30 @ SV1 )
!= ( SV1 @ SY40 ) )
| ~ ( sK2_SY12 @ SY40 ) ) )
= $false )
| ( ( sK1_Xx @ ( SV1 @ ( sK5_SY29 @ SV1 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[37]) ).
thf(43,plain,
! [SV3: a] :
( ( ( ~ ! [SY41: a] :
( ( SV3
!= ( sK6_SY23 @ SY41 ) )
| ~ ( sK1_Xx @ SY41 )
| ( SY41
= ( sK7_SY37 @ SV3 ) ) ) )
= $false )
| ( ( sK2_SY12 @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[38]) ).
thf(44,plain,
! [SV3: a] :
( ( ( ~ ~ ( ( SV3
!= ( sK6_SY23 @ ( sK7_SY37 @ SV3 ) ) )
| ~ ( sK1_Xx @ ( sK7_SY37 @ SV3 ) ) ) )
= $false )
| ( ( sK2_SY12 @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[38]) ).
thf(45,plain,
! [SV4: a,SV1: a > a] :
( ( ( ~ ( ~ ~ ( ( ( sK3_SY30 @ SV1 )
!= ( SV1 @ ( sK4_SY34 @ SV4 @ SV1 ) ) )
| ~ ( sK2_SY12 @ ( sK4_SY34 @ SV4 @ SV1 ) ) )
| ~ ( ( ( sK4_SY34 @ SV4 @ SV1 )
!= SV4 ) ) )
| ( ( sK3_SY30 @ SV1 )
!= ( SV1 @ SV4 ) )
| ~ ( sK2_SY12 @ SV4 ) )
= $true )
| ( ( sK2_SY12 @ ( sK5_SY29 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[40]) ).
thf(46,plain,
! [SV1: a > a] :
( ( ( sK1_Xx @ ( sK3_SY30 @ SV1 ) )
= $true )
| ( ( sK1_Xx @ ( SV1 @ ( sK5_SY29 @ SV1 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[41]) ).
thf(47,plain,
! [SV1: a > a] :
( ( ( ! [SY40: a] :
( ~ ( ~ ~ ( ( ( sK3_SY30 @ SV1 )
!= ( SV1 @ ( sK4_SY34 @ SY40 @ SV1 ) ) )
| ~ ( sK2_SY12 @ ( sK4_SY34 @ SY40 @ SV1 ) ) )
| ~ ( ( ( sK4_SY34 @ SY40 @ SV1 )
!= SY40 ) ) )
| ( ( sK3_SY30 @ SV1 )
!= ( SV1 @ SY40 ) )
| ~ ( sK2_SY12 @ SY40 ) ) )
= $true )
| ( ( sK1_Xx @ ( SV1 @ ( sK5_SY29 @ SV1 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[42]) ).
thf(48,plain,
! [SV3: a] :
( ( ( ! [SY41: a] :
( ( SV3
!= ( sK6_SY23 @ SY41 ) )
| ~ ( sK1_Xx @ SY41 )
| ( SY41
= ( sK7_SY37 @ SV3 ) ) ) )
= $true )
| ( ( sK2_SY12 @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[43]) ).
thf(49,plain,
! [SV3: a] :
( ( ( ~ ( ( SV3
!= ( sK6_SY23 @ ( sK7_SY37 @ SV3 ) ) )
| ~ ( sK1_Xx @ ( sK7_SY37 @ SV3 ) ) ) )
= $true )
| ( ( sK2_SY12 @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[44]) ).
thf(50,plain,
! [SV4: a,SV1: a > a] :
( ( ( ~ ( ~ ~ ( ( ( sK3_SY30 @ SV1 )
!= ( SV1 @ ( sK4_SY34 @ SV4 @ SV1 ) ) )
| ~ ( sK2_SY12 @ ( sK4_SY34 @ SV4 @ SV1 ) ) )
| ~ ( ( ( sK4_SY34 @ SV4 @ SV1 )
!= SV4 ) ) ) )
= $true )
| ( ( ( ( sK3_SY30 @ SV1 )
!= ( SV1 @ SV4 ) )
| ~ ( sK2_SY12 @ SV4 ) )
= $true )
| ( ( sK2_SY12 @ ( sK5_SY29 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[45]) ).
thf(51,plain,
! [SV5: a,SV1: a > a] :
( ( ( ~ ( ~ ~ ( ( ( sK3_SY30 @ SV1 )
!= ( SV1 @ ( sK4_SY34 @ SV5 @ SV1 ) ) )
| ~ ( sK2_SY12 @ ( sK4_SY34 @ SV5 @ SV1 ) ) )
| ~ ( ( ( sK4_SY34 @ SV5 @ SV1 )
!= SV5 ) ) )
| ( ( sK3_SY30 @ SV1 )
!= ( SV1 @ SV5 ) )
| ~ ( sK2_SY12 @ SV5 ) )
= $true )
| ( ( sK1_Xx @ ( SV1 @ ( sK5_SY29 @ SV1 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[47]) ).
thf(52,plain,
! [SV6: a,SV3: a] :
( ( ( ( SV3
!= ( sK6_SY23 @ SV6 ) )
| ~ ( sK1_Xx @ SV6 )
| ( SV6
= ( sK7_SY37 @ SV3 ) ) )
= $true )
| ( ( sK2_SY12 @ SV3 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[48]) ).
thf(53,plain,
! [SV3: a] :
( ( ( ( SV3
!= ( sK6_SY23 @ ( sK7_SY37 @ SV3 ) ) )
| ~ ( sK1_Xx @ ( sK7_SY37 @ SV3 ) ) )
= $false )
| ( ( sK2_SY12 @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[49]) ).
thf(54,plain,
! [SV4: a,SV1: a > a] :
( ( ( ~ ~ ( ( ( sK3_SY30 @ SV1 )
!= ( SV1 @ ( sK4_SY34 @ SV4 @ SV1 ) ) )
| ~ ( sK2_SY12 @ ( sK4_SY34 @ SV4 @ SV1 ) ) )
| ~ ( ( ( sK4_SY34 @ SV4 @ SV1 )
!= SV4 ) ) )
= $false )
| ( ( ( ( sK3_SY30 @ SV1 )
!= ( SV1 @ SV4 ) )
| ~ ( sK2_SY12 @ SV4 ) )
= $true )
| ( ( sK2_SY12 @ ( sK5_SY29 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[50]) ).
thf(55,plain,
! [SV5: a,SV1: a > a] :
( ( ( ~ ( ~ ~ ( ( ( sK3_SY30 @ SV1 )
!= ( SV1 @ ( sK4_SY34 @ SV5 @ SV1 ) ) )
| ~ ( sK2_SY12 @ ( sK4_SY34 @ SV5 @ SV1 ) ) )
| ~ ( ( ( sK4_SY34 @ SV5 @ SV1 )
!= SV5 ) ) ) )
= $true )
| ( ( ( ( sK3_SY30 @ SV1 )
!= ( SV1 @ SV5 ) )
| ~ ( sK2_SY12 @ SV5 ) )
= $true )
| ( ( sK1_Xx @ ( SV1 @ ( sK5_SY29 @ SV1 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[51]) ).
thf(56,plain,
! [SV6: a,SV3: a] :
( ( ( ( SV3
!= ( sK6_SY23 @ SV6 ) )
| ~ ( sK1_Xx @ SV6 ) )
= $true )
| ( ( SV6
= ( sK7_SY37 @ SV3 ) )
= $true )
| ( ( sK2_SY12 @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[52]) ).
thf(57,plain,
! [SV3: a] :
( ( ( ( SV3
!= ( sK6_SY23 @ ( sK7_SY37 @ SV3 ) ) ) )
= $false )
| ( ( sK2_SY12 @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[53]) ).
thf(58,plain,
! [SV3: a] :
( ( ( ~ ( sK1_Xx @ ( sK7_SY37 @ SV3 ) ) )
= $false )
| ( ( sK2_SY12 @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[53]) ).
thf(59,plain,
! [SV4: a,SV1: a > a] :
( ( ( ~ ~ ( ( ( sK3_SY30 @ SV1 )
!= ( SV1 @ ( sK4_SY34 @ SV4 @ SV1 ) ) )
| ~ ( sK2_SY12 @ ( sK4_SY34 @ SV4 @ SV1 ) ) ) )
= $false )
| ( ( ( ( sK3_SY30 @ SV1 )
!= ( SV1 @ SV4 ) )
| ~ ( sK2_SY12 @ SV4 ) )
= $true )
| ( ( sK2_SY12 @ ( sK5_SY29 @ SV1 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[54]) ).
thf(60,plain,
! [SV1: a > a,SV4: a] :
( ( ( ~ ( ( ( sK4_SY34 @ SV4 @ SV1 )
!= SV4 ) ) )
= $false )
| ( ( ( ( sK3_SY30 @ SV1 )
!= ( SV1 @ SV4 ) )
| ~ ( sK2_SY12 @ SV4 ) )
= $true )
| ( ( sK2_SY12 @ ( sK5_SY29 @ SV1 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[54]) ).
thf(61,plain,
! [SV5: a,SV1: a > a] :
( ( ( ~ ~ ( ( ( sK3_SY30 @ SV1 )
!= ( SV1 @ ( sK4_SY34 @ SV5 @ SV1 ) ) )
| ~ ( sK2_SY12 @ ( sK4_SY34 @ SV5 @ SV1 ) ) )
| ~ ( ( ( sK4_SY34 @ SV5 @ SV1 )
!= SV5 ) ) )
= $false )
| ( ( ( ( sK3_SY30 @ SV1 )
!= ( SV1 @ SV5 ) )
| ~ ( sK2_SY12 @ SV5 ) )
= $true )
| ( ( sK1_Xx @ ( SV1 @ ( sK5_SY29 @ SV1 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[55]) ).
thf(62,plain,
! [SV6: a,SV3: a] :
( ( ( ( SV3
!= ( sK6_SY23 @ SV6 ) ) )
= $true )
| ( ( ~ ( sK1_Xx @ SV6 ) )
= $true )
| ( ( SV6
= ( sK7_SY37 @ SV3 ) )
= $true )
| ( ( sK2_SY12 @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[56]) ).
thf(63,plain,
! [SV3: a] :
( ( ( SV3
= ( sK6_SY23 @ ( sK7_SY37 @ SV3 ) ) )
= $true )
| ( ( sK2_SY12 @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[57]) ).
thf(64,plain,
! [SV3: a] :
( ( ( sK1_Xx @ ( sK7_SY37 @ SV3 ) )
= $true )
| ( ( sK2_SY12 @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[58]) ).
thf(65,plain,
! [SV4: a,SV1: a > a] :
( ( ( ~ ( ( ( sK3_SY30 @ SV1 )
!= ( SV1 @ ( sK4_SY34 @ SV4 @ SV1 ) ) )
| ~ ( sK2_SY12 @ ( sK4_SY34 @ SV4 @ SV1 ) ) ) )
= $true )
| ( ( ( ( sK3_SY30 @ SV1 )
!= ( SV1 @ SV4 ) )
| ~ ( sK2_SY12 @ SV4 ) )
= $true )
| ( ( sK2_SY12 @ ( sK5_SY29 @ SV1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[59]) ).
thf(66,plain,
! [SV1: a > a,SV4: a] :
( ( ( ( ( sK4_SY34 @ SV4 @ SV1 )
!= SV4 ) )
= $true )
| ( ( ( ( sK3_SY30 @ SV1 )
!= ( SV1 @ SV4 ) )
| ~ ( sK2_SY12 @ SV4 ) )
= $true )
| ( ( sK2_SY12 @ ( sK5_SY29 @ SV1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[60]) ).
thf(67,plain,
! [SV5: a,SV1: a > a] :
( ( ( ~ ~ ( ( ( sK3_SY30 @ SV1 )
!= ( SV1 @ ( sK4_SY34 @ SV5 @ SV1 ) ) )
| ~ ( sK2_SY12 @ ( sK4_SY34 @ SV5 @ SV1 ) ) ) )
= $false )
| ( ( ( ( sK3_SY30 @ SV1 )
!= ( SV1 @ SV5 ) )
| ~ ( sK2_SY12 @ SV5 ) )
= $true )
| ( ( sK1_Xx @ ( SV1 @ ( sK5_SY29 @ SV1 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[61]) ).
thf(68,plain,
! [SV1: a > a,SV5: a] :
( ( ( ~ ( ( ( sK4_SY34 @ SV5 @ SV1 )
!= SV5 ) ) )
= $false )
| ( ( ( ( sK3_SY30 @ SV1 )
!= ( SV1 @ SV5 ) )
| ~ ( sK2_SY12 @ SV5 ) )
= $true )
| ( ( sK1_Xx @ ( SV1 @ ( sK5_SY29 @ SV1 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[61]) ).
thf(69,plain,
! [SV6: a,SV3: a] :
( ( ( SV3
= ( sK6_SY23 @ SV6 ) )
= $false )
| ( ( ~ ( sK1_Xx @ SV6 ) )
= $true )
| ( ( SV6
= ( sK7_SY37 @ SV3 ) )
= $true )
| ( ( sK2_SY12 @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[62]) ).
thf(70,plain,
! [SV4: a,SV1: a > a] :
( ( ( ( ( sK3_SY30 @ SV1 )
!= ( SV1 @ ( sK4_SY34 @ SV4 @ SV1 ) ) )
| ~ ( sK2_SY12 @ ( sK4_SY34 @ SV4 @ SV1 ) ) )
= $false )
| ( ( ( ( sK3_SY30 @ SV1 )
!= ( SV1 @ SV4 ) )
| ~ ( sK2_SY12 @ SV4 ) )
= $true )
| ( ( sK2_SY12 @ ( sK5_SY29 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[65]) ).
thf(71,plain,
! [SV1: a > a,SV4: a] :
( ( ( ( sK4_SY34 @ SV4 @ SV1 )
= SV4 )
= $false )
| ( ( ( ( sK3_SY30 @ SV1 )
!= ( SV1 @ SV4 ) )
| ~ ( sK2_SY12 @ SV4 ) )
= $true )
| ( ( sK2_SY12 @ ( sK5_SY29 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[66]) ).
thf(72,plain,
! [SV5: a,SV1: a > a] :
( ( ( ~ ( ( ( sK3_SY30 @ SV1 )
!= ( SV1 @ ( sK4_SY34 @ SV5 @ SV1 ) ) )
| ~ ( sK2_SY12 @ ( sK4_SY34 @ SV5 @ SV1 ) ) ) )
= $true )
| ( ( ( ( sK3_SY30 @ SV1 )
!= ( SV1 @ SV5 ) )
| ~ ( sK2_SY12 @ SV5 ) )
= $true )
| ( ( sK1_Xx @ ( SV1 @ ( sK5_SY29 @ SV1 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[67]) ).
thf(73,plain,
! [SV1: a > a,SV5: a] :
( ( ( ( ( sK4_SY34 @ SV5 @ SV1 )
!= SV5 ) )
= $true )
| ( ( ( ( sK3_SY30 @ SV1 )
!= ( SV1 @ SV5 ) )
| ~ ( sK2_SY12 @ SV5 ) )
= $true )
| ( ( sK1_Xx @ ( SV1 @ ( sK5_SY29 @ SV1 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[68]) ).
thf(74,plain,
! [SV3: a,SV6: a] :
( ( ( sK1_Xx @ SV6 )
= $false )
| ( ( SV3
= ( sK6_SY23 @ SV6 ) )
= $false )
| ( ( SV6
= ( sK7_SY37 @ SV3 ) )
= $true )
| ( ( sK2_SY12 @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[69]) ).
thf(75,plain,
! [SV4: a,SV1: a > a] :
( ( ( ( ( sK3_SY30 @ SV1 )
!= ( SV1 @ ( sK4_SY34 @ SV4 @ SV1 ) ) ) )
= $false )
| ( ( ( ( sK3_SY30 @ SV1 )
!= ( SV1 @ SV4 ) )
| ~ ( sK2_SY12 @ SV4 ) )
= $true )
| ( ( sK2_SY12 @ ( sK5_SY29 @ SV1 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[70]) ).
thf(76,plain,
! [SV1: a > a,SV4: a] :
( ( ( ~ ( sK2_SY12 @ ( sK4_SY34 @ SV4 @ SV1 ) ) )
= $false )
| ( ( ( ( sK3_SY30 @ SV1 )
!= ( SV1 @ SV4 ) )
| ~ ( sK2_SY12 @ SV4 ) )
= $true )
| ( ( sK2_SY12 @ ( sK5_SY29 @ SV1 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[70]) ).
thf(77,plain,
! [SV4: a,SV1: a > a] :
( ( ( ( ( sK3_SY30 @ SV1 )
!= ( SV1 @ SV4 ) ) )
= $true )
| ( ( ~ ( sK2_SY12 @ SV4 ) )
= $true )
| ( ( ( sK4_SY34 @ SV4 @ SV1 )
= SV4 )
= $false )
| ( ( sK2_SY12 @ ( sK5_SY29 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[71]) ).
thf(78,plain,
! [SV5: a,SV1: a > a] :
( ( ( ( ( sK3_SY30 @ SV1 )
!= ( SV1 @ ( sK4_SY34 @ SV5 @ SV1 ) ) )
| ~ ( sK2_SY12 @ ( sK4_SY34 @ SV5 @ SV1 ) ) )
= $false )
| ( ( ( ( sK3_SY30 @ SV1 )
!= ( SV1 @ SV5 ) )
| ~ ( sK2_SY12 @ SV5 ) )
= $true )
| ( ( sK1_Xx @ ( SV1 @ ( sK5_SY29 @ SV1 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[72]) ).
thf(79,plain,
! [SV1: a > a,SV5: a] :
( ( ( ( sK4_SY34 @ SV5 @ SV1 )
= SV5 )
= $false )
| ( ( ( ( sK3_SY30 @ SV1 )
!= ( SV1 @ SV5 ) )
| ~ ( sK2_SY12 @ SV5 ) )
= $true )
| ( ( sK1_Xx @ ( SV1 @ ( sK5_SY29 @ SV1 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[73]) ).
thf(80,plain,
! [SV4: a,SV1: a > a] :
( ( ( ( sK3_SY30 @ SV1 )
= ( SV1 @ ( sK4_SY34 @ SV4 @ SV1 ) ) )
= $true )
| ( ( ( ( sK3_SY30 @ SV1 )
!= ( SV1 @ SV4 ) )
| ~ ( sK2_SY12 @ SV4 ) )
= $true )
| ( ( sK2_SY12 @ ( sK5_SY29 @ SV1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[75]) ).
thf(81,plain,
! [SV1: a > a,SV4: a] :
( ( ( sK2_SY12 @ ( sK4_SY34 @ SV4 @ SV1 ) )
= $true )
| ( ( ( ( sK3_SY30 @ SV1 )
!= ( SV1 @ SV4 ) )
| ~ ( sK2_SY12 @ SV4 ) )
= $true )
| ( ( sK2_SY12 @ ( sK5_SY29 @ SV1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[76]) ).
thf(82,plain,
! [SV4: a,SV1: a > a] :
( ( ( ( sK3_SY30 @ SV1 )
= ( SV1 @ SV4 ) )
= $false )
| ( ( ~ ( sK2_SY12 @ SV4 ) )
= $true )
| ( ( ( sK4_SY34 @ SV4 @ SV1 )
= SV4 )
= $false )
| ( ( sK2_SY12 @ ( sK5_SY29 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[77]) ).
thf(83,plain,
! [SV5: a,SV1: a > a] :
( ( ( ( ( sK3_SY30 @ SV1 )
!= ( SV1 @ ( sK4_SY34 @ SV5 @ SV1 ) ) ) )
= $false )
| ( ( ( ( sK3_SY30 @ SV1 )
!= ( SV1 @ SV5 ) )
| ~ ( sK2_SY12 @ SV5 ) )
= $true )
| ( ( sK1_Xx @ ( SV1 @ ( sK5_SY29 @ SV1 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[78]) ).
thf(84,plain,
! [SV1: a > a,SV5: a] :
( ( ( ~ ( sK2_SY12 @ ( sK4_SY34 @ SV5 @ SV1 ) ) )
= $false )
| ( ( ( ( sK3_SY30 @ SV1 )
!= ( SV1 @ SV5 ) )
| ~ ( sK2_SY12 @ SV5 ) )
= $true )
| ( ( sK1_Xx @ ( SV1 @ ( sK5_SY29 @ SV1 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[78]) ).
thf(85,plain,
! [SV5: a,SV1: a > a] :
( ( ( ( ( sK3_SY30 @ SV1 )
!= ( SV1 @ SV5 ) ) )
= $true )
| ( ( ~ ( sK2_SY12 @ SV5 ) )
= $true )
| ( ( ( sK4_SY34 @ SV5 @ SV1 )
= SV5 )
= $false )
| ( ( sK1_Xx @ ( SV1 @ ( sK5_SY29 @ SV1 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[79]) ).
thf(86,plain,
! [SV4: a,SV1: a > a] :
( ( ( ( ( sK3_SY30 @ SV1 )
!= ( SV1 @ SV4 ) ) )
= $true )
| ( ( ~ ( sK2_SY12 @ SV4 ) )
= $true )
| ( ( ( sK3_SY30 @ SV1 )
= ( SV1 @ ( sK4_SY34 @ SV4 @ SV1 ) ) )
= $true )
| ( ( sK2_SY12 @ ( sK5_SY29 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[80]) ).
thf(87,plain,
! [SV4: a,SV1: a > a] :
( ( ( ( ( sK3_SY30 @ SV1 )
!= ( SV1 @ SV4 ) ) )
= $true )
| ( ( ~ ( sK2_SY12 @ SV4 ) )
= $true )
| ( ( sK2_SY12 @ ( sK4_SY34 @ SV4 @ SV1 ) )
= $true )
| ( ( sK2_SY12 @ ( sK5_SY29 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[81]) ).
thf(88,plain,
! [SV1: a > a,SV4: a] :
( ( ( sK2_SY12 @ SV4 )
= $false )
| ( ( ( sK3_SY30 @ SV1 )
= ( SV1 @ SV4 ) )
= $false )
| ( ( ( sK4_SY34 @ SV4 @ SV1 )
= SV4 )
= $false )
| ( ( sK2_SY12 @ ( sK5_SY29 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[82]) ).
thf(89,plain,
! [SV5: a,SV1: a > a] :
( ( ( ( sK3_SY30 @ SV1 )
= ( SV1 @ ( sK4_SY34 @ SV5 @ SV1 ) ) )
= $true )
| ( ( ( ( sK3_SY30 @ SV1 )
!= ( SV1 @ SV5 ) )
| ~ ( sK2_SY12 @ SV5 ) )
= $true )
| ( ( sK1_Xx @ ( SV1 @ ( sK5_SY29 @ SV1 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[83]) ).
thf(90,plain,
! [SV1: a > a,SV5: a] :
( ( ( sK2_SY12 @ ( sK4_SY34 @ SV5 @ SV1 ) )
= $true )
| ( ( ( ( sK3_SY30 @ SV1 )
!= ( SV1 @ SV5 ) )
| ~ ( sK2_SY12 @ SV5 ) )
= $true )
| ( ( sK1_Xx @ ( SV1 @ ( sK5_SY29 @ SV1 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[84]) ).
thf(91,plain,
! [SV5: a,SV1: a > a] :
( ( ( ( sK3_SY30 @ SV1 )
= ( SV1 @ SV5 ) )
= $false )
| ( ( ~ ( sK2_SY12 @ SV5 ) )
= $true )
| ( ( ( sK4_SY34 @ SV5 @ SV1 )
= SV5 )
= $false )
| ( ( sK1_Xx @ ( SV1 @ ( sK5_SY29 @ SV1 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[85]) ).
thf(92,plain,
! [SV4: a,SV1: a > a] :
( ( ( ( sK3_SY30 @ SV1 )
= ( SV1 @ SV4 ) )
= $false )
| ( ( ~ ( sK2_SY12 @ SV4 ) )
= $true )
| ( ( ( sK3_SY30 @ SV1 )
= ( SV1 @ ( sK4_SY34 @ SV4 @ SV1 ) ) )
= $true )
| ( ( sK2_SY12 @ ( sK5_SY29 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[86]) ).
thf(93,plain,
! [SV4: a,SV1: a > a] :
( ( ( ( sK3_SY30 @ SV1 )
= ( SV1 @ SV4 ) )
= $false )
| ( ( ~ ( sK2_SY12 @ SV4 ) )
= $true )
| ( ( sK2_SY12 @ ( sK4_SY34 @ SV4 @ SV1 ) )
= $true )
| ( ( sK2_SY12 @ ( sK5_SY29 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[87]) ).
thf(94,plain,
! [SV5: a,SV1: a > a] :
( ( ( ( ( sK3_SY30 @ SV1 )
!= ( SV1 @ SV5 ) ) )
= $true )
| ( ( ~ ( sK2_SY12 @ SV5 ) )
= $true )
| ( ( ( sK3_SY30 @ SV1 )
= ( SV1 @ ( sK4_SY34 @ SV5 @ SV1 ) ) )
= $true )
| ( ( sK1_Xx @ ( SV1 @ ( sK5_SY29 @ SV1 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[89]) ).
thf(95,plain,
! [SV5: a,SV1: a > a] :
( ( ( ( ( sK3_SY30 @ SV1 )
!= ( SV1 @ SV5 ) ) )
= $true )
| ( ( ~ ( sK2_SY12 @ SV5 ) )
= $true )
| ( ( sK2_SY12 @ ( sK4_SY34 @ SV5 @ SV1 ) )
= $true )
| ( ( sK1_Xx @ ( SV1 @ ( sK5_SY29 @ SV1 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[90]) ).
thf(96,plain,
! [SV1: a > a,SV5: a] :
( ( ( sK2_SY12 @ SV5 )
= $false )
| ( ( ( sK3_SY30 @ SV1 )
= ( SV1 @ SV5 ) )
= $false )
| ( ( ( sK4_SY34 @ SV5 @ SV1 )
= SV5 )
= $false )
| ( ( sK1_Xx @ ( SV1 @ ( sK5_SY29 @ SV1 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[91]) ).
thf(97,plain,
! [SV1: a > a,SV4: a] :
( ( ( sK2_SY12 @ SV4 )
= $false )
| ( ( ( sK3_SY30 @ SV1 )
= ( SV1 @ SV4 ) )
= $false )
| ( ( ( sK3_SY30 @ SV1 )
= ( SV1 @ ( sK4_SY34 @ SV4 @ SV1 ) ) )
= $true )
| ( ( sK2_SY12 @ ( sK5_SY29 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[92]) ).
thf(98,plain,
! [SV1: a > a,SV4: a] :
( ( ( sK2_SY12 @ SV4 )
= $false )
| ( ( ( sK3_SY30 @ SV1 )
= ( SV1 @ SV4 ) )
= $false )
| ( ( sK2_SY12 @ ( sK4_SY34 @ SV4 @ SV1 ) )
= $true )
| ( ( sK2_SY12 @ ( sK5_SY29 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[93]) ).
thf(99,plain,
! [SV5: a,SV1: a > a] :
( ( ( ( sK3_SY30 @ SV1 )
= ( SV1 @ SV5 ) )
= $false )
| ( ( ~ ( sK2_SY12 @ SV5 ) )
= $true )
| ( ( ( sK3_SY30 @ SV1 )
= ( SV1 @ ( sK4_SY34 @ SV5 @ SV1 ) ) )
= $true )
| ( ( sK1_Xx @ ( SV1 @ ( sK5_SY29 @ SV1 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[94]) ).
thf(100,plain,
! [SV5: a,SV1: a > a] :
( ( ( ( sK3_SY30 @ SV1 )
= ( SV1 @ SV5 ) )
= $false )
| ( ( ~ ( sK2_SY12 @ SV5 ) )
= $true )
| ( ( sK2_SY12 @ ( sK4_SY34 @ SV5 @ SV1 ) )
= $true )
| ( ( sK1_Xx @ ( SV1 @ ( sK5_SY29 @ SV1 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[95]) ).
thf(101,plain,
! [SV1: a > a,SV5: a] :
( ( ( sK2_SY12 @ SV5 )
= $false )
| ( ( ( sK3_SY30 @ SV1 )
= ( SV1 @ SV5 ) )
= $false )
| ( ( ( sK3_SY30 @ SV1 )
= ( SV1 @ ( sK4_SY34 @ SV5 @ SV1 ) ) )
= $true )
| ( ( sK1_Xx @ ( SV1 @ ( sK5_SY29 @ SV1 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[99]) ).
thf(102,plain,
! [SV1: a > a,SV5: a] :
( ( ( sK2_SY12 @ SV5 )
= $false )
| ( ( ( sK3_SY30 @ SV1 )
= ( SV1 @ SV5 ) )
= $false )
| ( ( sK2_SY12 @ ( sK4_SY34 @ SV5 @ SV1 ) )
= $true )
| ( ( sK1_Xx @ ( SV1 @ ( sK5_SY29 @ SV1 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[100]) ).
thf(103,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[33,102,101,98,97,96,88,74,64,63,46,39]) ).
thf(104,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[103]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SEV094^5 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.33 % Computer : n019.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Mon Jun 20 14:28:09 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.34
% 0.13/0.34 No.of.Axioms: 0
% 0.13/0.34
% 0.13/0.34 Length.of.Defs: 0
% 0.13/0.34
% 0.13/0.34 Contains.Choice.Funs: false
% 0.13/0.34 (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)....
% 0.19/0.43
% 0.19/0.43 ********************************
% 0.19/0.43 * All subproblems solved! *
% 0.19/0.43 ********************************
% 0.19/0.43 % 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:103,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.19/0.43
% 0.19/0.43 %**** Beginning of derivation protocol ****
% 0.19/0.43 % SZS output start CNFRefutation
% See solution above
% 0.19/0.43
% 0.19/0.43 %**** End of derivation protocol ****
% 0.19/0.43 %**** no. of clauses in derivation: 104 ****
% 0.19/0.43 %**** clause counter: 103 ****
% 0.19/0.43
% 0.19/0.43 % 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:103,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------