TSTP Solution File: SEV009^5 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SEV009^5 : 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 : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Tue Jul 19 17:34:20 EDT 2022
% Result : Theorem 0.19s 0.47s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 13
% Syntax : Number of formulae : 211 ( 115 unt; 12 typ; 0 def)
% Number of atoms : 1357 ( 452 equ; 0 cnn)
% Maximal formula atoms : 4 ( 6 avg)
% Number of connectives : 1961 ( 491 ~; 408 |; 142 &; 897 @)
% ( 0 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 3 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 188 ( 188 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 11 usr; 8 con; 0-2 aty)
% Number of variables : 391 ( 0 ^ 344 !; 47 ?; 391 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a,type,
a: $tType ).
thf(tp_sK10_SY43,type,
sK10_SY43: a > $o ).
thf(tp_sK11_SY17,type,
sK11_SY17: a > a > $o ).
thf(tp_sK1_P,type,
sK1_P: ( a > $o ) > $o ).
thf(tp_sK2_SY19,type,
sK2_SY19: a ).
thf(tp_sK3_SY21,type,
sK3_SY21: a ).
thf(tp_sK4_SY32,type,
sK4_SY32: a ).
thf(tp_sK5_SY35,type,
sK5_SY35: a > $o ).
thf(tp_sK6_SY25,type,
sK6_SY25: a ).
thf(tp_sK7_SY37,type,
sK7_SY37: a ).
thf(tp_sK8_SY42,type,
sK8_SY42: a ).
thf(tp_sK9_SY47,type,
sK9_SY47: a > $o ).
thf(1,conjecture,
! [P: ( a > $o ) > $o] :
( ! [Xx: a] :
? [Xp: a > $o] :
( ( P @ Xp )
& ( Xp @ Xx )
& ! [Xq: a > $o] :
( ( ( P @ Xq )
& ( Xq @ Xx ) )
=> ( Xq = Xp ) ) )
=> ( ! [Xx: a] :
? [S: a > $o] :
( ( P @ S )
& ( S @ Xx )
& ( S @ Xx ) )
& ! [Xx: a,Xy: a] :
( ? [S: a > $o] :
( ( P @ S )
& ( S @ Xx )
& ( S @ Xy ) )
=> ? [S: a > $o] :
( ( P @ S )
& ( S @ Xy )
& ( S @ Xx ) ) )
& ! [Xx: a,Xy: a,Xz: a] :
( ( ? [S: a > $o] :
( ( P @ S )
& ( S @ Xx )
& ( S @ Xy ) )
& ? [S: a > $o] :
( ( P @ S )
& ( S @ Xy )
& ( S @ Xz ) ) )
=> ? [S: a > $o] :
( ( P @ S )
& ( S @ Xx )
& ( S @ Xz ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM261_B_pme) ).
thf(2,negated_conjecture,
( ( ! [P: ( a > $o ) > $o] :
( ! [Xx: a] :
? [Xp: a > $o] :
( ( P @ Xp )
& ( Xp @ Xx )
& ! [Xq: a > $o] :
( ( ( P @ Xq )
& ( Xq @ Xx ) )
=> ( Xq = Xp ) ) )
=> ( ! [Xx: a] :
? [S: a > $o] :
( ( P @ S )
& ( S @ Xx )
& ( S @ Xx ) )
& ! [Xx: a,Xy: a] :
( ? [S: a > $o] :
( ( P @ S )
& ( S @ Xx )
& ( S @ Xy ) )
=> ? [S: a > $o] :
( ( P @ S )
& ( S @ Xy )
& ( S @ Xx ) ) )
& ! [Xx: a,Xy: a,Xz: a] :
( ( ? [S: a > $o] :
( ( P @ S )
& ( S @ Xx )
& ( S @ Xy ) )
& ? [S: a > $o] :
( ( P @ S )
& ( S @ Xy )
& ( S @ Xz ) ) )
=> ? [S: a > $o] :
( ( P @ S )
& ( S @ Xx )
& ( S @ Xz ) ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ! [P: ( a > $o ) > $o] :
( ! [Xx: a] :
? [Xp: a > $o] :
( ( P @ Xp )
& ( Xp @ Xx )
& ! [Xq: a > $o] :
( ( ( P @ Xq )
& ( Xq @ Xx ) )
=> ( Xq = Xp ) ) )
=> ( ! [Xx: a] :
? [S: a > $o] :
( ( P @ S )
& ( S @ Xx )
& ( S @ Xx ) )
& ! [Xx: a,Xy: a] :
( ? [S: a > $o] :
( ( P @ S )
& ( S @ Xx )
& ( S @ Xy ) )
=> ? [S: a > $o] :
( ( P @ S )
& ( S @ Xy )
& ( S @ Xx ) ) )
& ! [Xx: a,Xy: a,Xz: a] :
( ( ? [S: a > $o] :
( ( P @ S )
& ( S @ Xx )
& ( S @ Xy ) )
& ? [S: a > $o] :
( ( P @ S )
& ( S @ Xy )
& ( S @ Xz ) ) )
=> ? [S: a > $o] :
( ( P @ S )
& ( S @ Xx )
& ( S @ Xz ) ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ! [SY16: a] :
? [SY17: a > $o] :
( ( sK1_P @ SY17 )
& ( SY17 @ SY16 )
& ! [SY18: a > $o] :
( ( ( sK1_P @ SY18 )
& ( SY18 @ SY16 ) )
=> ( SY18 = SY17 ) ) )
=> ( ! [SY19: a] :
? [SY20: a > $o] :
( ( sK1_P @ SY20 )
& ( SY20 @ SY19 )
& ( SY20 @ SY19 ) )
& ! [SY21: a,SY22: a] :
( ? [SY23: a > $o] :
( ( sK1_P @ SY23 )
& ( SY23 @ SY21 )
& ( SY23 @ SY22 ) )
=> ? [SY24: a > $o] :
( ( sK1_P @ SY24 )
& ( SY24 @ SY22 )
& ( SY24 @ SY21 ) ) )
& ! [SY25: a,SY26: a,SY27: a] :
( ( ? [SY28: a > $o] :
( ( sK1_P @ SY28 )
& ( SY28 @ SY25 )
& ( SY28 @ SY26 ) )
& ? [SY29: a > $o] :
( ( sK1_P @ SY29 )
& ( SY29 @ SY26 )
& ( SY29 @ SY27 ) ) )
=> ? [SY30: a > $o] :
( ( sK1_P @ SY30 )
& ( SY30 @ SY25 )
& ( SY30 @ SY27 ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[3]) ).
thf(5,plain,
( ( ! [SY16: a] :
? [SY17: a > $o] :
( ( sK1_P @ SY17 )
& ( SY17 @ SY16 )
& ! [SY18: a > $o] :
( ( ( sK1_P @ SY18 )
& ( SY18 @ SY16 ) )
=> ( SY18 = SY17 ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[4]) ).
thf(6,plain,
( ( ! [SY19: a] :
? [SY20: a > $o] :
( ( sK1_P @ SY20 )
& ( SY20 @ SY19 )
& ( SY20 @ SY19 ) )
& ! [SY21: a,SY22: a] :
( ? [SY23: a > $o] :
( ( sK1_P @ SY23 )
& ( SY23 @ SY21 )
& ( SY23 @ SY22 ) )
=> ? [SY24: a > $o] :
( ( sK1_P @ SY24 )
& ( SY24 @ SY22 )
& ( SY24 @ SY21 ) ) )
& ! [SY25: a,SY26: a,SY27: a] :
( ( ? [SY28: a > $o] :
( ( sK1_P @ SY28 )
& ( SY28 @ SY25 )
& ( SY28 @ SY26 ) )
& ? [SY29: a > $o] :
( ( sK1_P @ SY29 )
& ( SY29 @ SY26 )
& ( SY29 @ SY27 ) ) )
=> ? [SY30: a > $o] :
( ( sK1_P @ SY30 )
& ( SY30 @ SY25 )
& ( SY30 @ SY27 ) ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[4]) ).
thf(7,plain,
( ( ! [SY19: a] :
? [SY20: a > $o] :
( ( sK1_P @ SY20 )
& ( SY20 @ SY19 )
& ( SY20 @ SY19 ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[6]) ).
thf(8,plain,
( ( ! [SY21: a,SY22: a] :
( ? [SY23: a > $o] :
( ( sK1_P @ SY23 )
& ( SY23 @ SY21 )
& ( SY23 @ SY22 ) )
=> ? [SY24: a > $o] :
( ( sK1_P @ SY24 )
& ( SY24 @ SY22 )
& ( SY24 @ SY21 ) ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[6]) ).
thf(9,plain,
( ( ! [SY25: a,SY26: a,SY27: a] :
( ( ? [SY28: a > $o] :
( ( sK1_P @ SY28 )
& ( SY28 @ SY25 )
& ( SY28 @ SY26 ) )
& ? [SY29: a > $o] :
( ( sK1_P @ SY29 )
& ( SY29 @ SY26 )
& ( SY29 @ SY27 ) ) )
=> ? [SY30: a > $o] :
( ( sK1_P @ SY30 )
& ( SY30 @ SY25 )
& ( SY30 @ SY27 ) ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[6]) ).
thf(10,plain,
( ( ~ ! [SY19: a] :
? [SY20: a > $o] :
( ( sK1_P @ SY20 )
& ( SY20 @ SY19 )
& ( SY20 @ SY19 ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[7]) ).
thf(11,plain,
( ( ~ ! [SY21: a,SY22: a] :
( ? [SY23: a > $o] :
( ( sK1_P @ SY23 )
& ( SY23 @ SY21 )
& ( SY23 @ SY22 ) )
=> ? [SY24: a > $o] :
( ( sK1_P @ SY24 )
& ( SY24 @ SY22 )
& ( SY24 @ SY21 ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[8]) ).
thf(12,plain,
( ( ~ ! [SY25: a,SY26: a,SY27: a] :
( ( ? [SY28: a > $o] :
( ( sK1_P @ SY28 )
& ( SY28 @ SY25 )
& ( SY28 @ SY26 ) )
& ? [SY29: a > $o] :
( ( sK1_P @ SY29 )
& ( SY29 @ SY26 )
& ( SY29 @ SY27 ) ) )
=> ? [SY30: a > $o] :
( ( sK1_P @ SY30 )
& ( SY30 @ SY25 )
& ( SY30 @ SY27 ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[9]) ).
thf(13,plain,
( ( ! [SY31: a > $o] :
( ~ ( SY31 @ sK2_SY19 )
| ~ ( sK1_P @ SY31 )
| ~ ( SY31 @ sK2_SY19 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[10]) ).
thf(14,plain,
( ( ( sK5_SY35 @ sK3_SY21 )
& ( sK1_P @ sK5_SY35 )
& ( sK5_SY35 @ sK4_SY32 )
& ! [SY36: a > $o] :
( ~ ( SY36 @ sK4_SY32 )
| ~ ( sK1_P @ SY36 )
| ~ ( SY36 @ sK3_SY21 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[11]) ).
thf(15,plain,
( ( ( sK10_SY43 @ sK6_SY25 )
& ( sK1_P @ sK10_SY43 )
& ( sK10_SY43 @ sK7_SY37 )
& ( sK9_SY47 @ sK7_SY37 )
& ( sK1_P @ sK9_SY47 )
& ( sK9_SY47 @ sK8_SY42 )
& ! [SY48: a > $o] :
( ~ ( SY48 @ sK6_SY25 )
| ~ ( sK1_P @ SY48 )
| ~ ( SY48 @ sK8_SY42 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[12]) ).
thf(16,plain,
( ( ! [SY16: a] :
( ! [SY49: a > $o] :
( ~ ( SY49 @ SY16 )
| ~ ( sK1_P @ SY49 )
| ( SY49
= ( sK11_SY17 @ SY16 ) ) )
& ( sK11_SY17 @ SY16 @ SY16 )
& ( sK1_P @ ( sK11_SY17 @ SY16 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[5]) ).
thf(17,plain,
( ( ! [SY16: a] :
( ! [SY49: a > $o] :
( ~ ( SY49 @ SY16 )
| ~ ( sK1_P @ SY49 )
| ( SY49
= ( sK11_SY17 @ SY16 ) ) )
& ( sK11_SY17 @ SY16 @ SY16 )
& ( sK1_P @ ( sK11_SY17 @ SY16 ) ) ) )
= $true ),
inference(copy,[status(thm)],[16]) ).
thf(18,plain,
( ( ! [SY31: a > $o] :
( ~ ( SY31 @ sK2_SY19 )
| ~ ( sK1_P @ SY31 )
| ~ ( SY31 @ sK2_SY19 ) ) )
= $true ),
inference(copy,[status(thm)],[13]) ).
thf(19,plain,
( ( ! [SX0: a] :
~ ( ~ ! [SX1: a > $o] :
( ~ ( SX1 @ SX0 )
| ~ ( sK1_P @ SX1 )
| ( SX1
= ( sK11_SY17 @ SX0 ) ) )
| ~ ~ ( ~ ( sK11_SY17 @ SX0 @ SX0 )
| ~ ( sK1_P @ ( sK11_SY17 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(20,plain,
! [SV1: a > $o] :
( ( ~ ( SV1 @ sK2_SY19 )
| ~ ( sK1_P @ SV1 )
| ~ ( SV1 @ sK2_SY19 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[18]) ).
thf(21,plain,
! [SV2: a] :
( ( ~ ( ~ ! [SY50: a > $o] :
( ~ ( SY50 @ SV2 )
| ~ ( sK1_P @ SY50 )
| ( SY50
= ( sK11_SY17 @ SV2 ) ) )
| ~ ~ ( ~ ( sK11_SY17 @ SV2 @ SV2 )
| ~ ( sK1_P @ ( sK11_SY17 @ SV2 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[19]) ).
thf(22,plain,
! [SV1: a > $o] :
( ( ( ~ ( SV1 @ sK2_SY19 )
| ~ ( sK1_P @ SV1 ) )
= $true )
| ( ( ~ ( SV1 @ sK2_SY19 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[20]) ).
thf(23,plain,
! [SV2: a] :
( ( ~ ! [SY50: a > $o] :
( ~ ( SY50 @ SV2 )
| ~ ( sK1_P @ SY50 )
| ( SY50
= ( sK11_SY17 @ SV2 ) ) )
| ~ ~ ( ~ ( sK11_SY17 @ SV2 @ SV2 )
| ~ ( sK1_P @ ( sK11_SY17 @ SV2 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[21]) ).
thf(24,plain,
! [SV1: a > $o] :
( ( ( ~ ( SV1 @ sK2_SY19 ) )
= $true )
| ( ( ~ ( sK1_P @ SV1 ) )
= $true )
| ( ( ~ ( SV1 @ sK2_SY19 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[22]) ).
thf(25,plain,
! [SV2: a] :
( ( ~ ! [SY50: a > $o] :
( ~ ( SY50 @ SV2 )
| ~ ( sK1_P @ SY50 )
| ( SY50
= ( sK11_SY17 @ SV2 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[23]) ).
thf(26,plain,
! [SV2: a] :
( ( ~ ~ ( ~ ( sK11_SY17 @ SV2 @ SV2 )
| ~ ( sK1_P @ ( sK11_SY17 @ SV2 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[23]) ).
thf(27,plain,
! [SV1: a > $o] :
( ( ( SV1 @ sK2_SY19 )
= $false )
| ( ( ~ ( sK1_P @ SV1 ) )
= $true )
| ( ( ~ ( SV1 @ sK2_SY19 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[24]) ).
thf(28,plain,
! [SV2: a] :
( ( ! [SY50: a > $o] :
( ~ ( SY50 @ SV2 )
| ~ ( sK1_P @ SY50 )
| ( SY50
= ( sK11_SY17 @ SV2 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[25]) ).
thf(29,plain,
! [SV2: a] :
( ( ~ ( ~ ( sK11_SY17 @ SV2 @ SV2 )
| ~ ( sK1_P @ ( sK11_SY17 @ SV2 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[26]) ).
thf(30,plain,
! [SV1: a > $o] :
( ( ( sK1_P @ SV1 )
= $false )
| ( ( SV1 @ sK2_SY19 )
= $false )
| ( ( ~ ( SV1 @ sK2_SY19 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[27]) ).
thf(31,plain,
! [SV2: a,SV3: a > $o] :
( ( ~ ( SV3 @ SV2 )
| ~ ( sK1_P @ SV3 )
| ( SV3
= ( sK11_SY17 @ SV2 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[28]) ).
thf(32,plain,
! [SV2: a] :
( ( ~ ( sK11_SY17 @ SV2 @ SV2 )
| ~ ( sK1_P @ ( sK11_SY17 @ SV2 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[29]) ).
thf(33,plain,
! [SV1: a > $o] :
( ( ( SV1 @ sK2_SY19 )
= $false )
| ( ( SV1 @ sK2_SY19 )
= $false )
| ( ( sK1_P @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[30]) ).
thf(34,plain,
! [SV2: a,SV3: a > $o] :
( ( ( ~ ( SV3 @ SV2 )
| ~ ( sK1_P @ SV3 ) )
= $true )
| ( ( SV3
= ( sK11_SY17 @ SV2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[31]) ).
thf(35,plain,
! [SV2: a] :
( ( ~ ( sK11_SY17 @ SV2 @ SV2 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[32]) ).
thf(36,plain,
! [SV2: a] :
( ( ~ ( sK1_P @ ( sK11_SY17 @ SV2 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[32]) ).
thf(37,plain,
! [SV2: a,SV3: a > $o] :
( ( ( ~ ( SV3 @ SV2 ) )
= $true )
| ( ( ~ ( sK1_P @ SV3 ) )
= $true )
| ( ( SV3
= ( sK11_SY17 @ SV2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[34]) ).
thf(38,plain,
! [SV2: a] :
( ( sK11_SY17 @ SV2 @ SV2 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[35]) ).
thf(39,plain,
! [SV2: a] :
( ( sK1_P @ ( sK11_SY17 @ SV2 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[36]) ).
thf(40,plain,
! [SV2: a,SV3: a > $o] :
( ( ( SV3 @ SV2 )
= $false )
| ( ( ~ ( sK1_P @ SV3 ) )
= $true )
| ( ( SV3
= ( sK11_SY17 @ SV2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[37]) ).
thf(41,plain,
! [SV2: a,SV3: a > $o] :
( ( ( sK1_P @ SV3 )
= $false )
| ( ( SV3 @ SV2 )
= $false )
| ( ( SV3
= ( sK11_SY17 @ SV2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[40]) ).
thf(42,plain,
! [SV2: a,SV3: a > $o] :
( ( ( ! [SV4: a] :
( ( SV3 @ SV4 )
= ( sK11_SY17 @ SV2 @ SV4 ) ) )
= $true )
| ( ( SV3 @ SV2 )
= $false )
| ( ( sK1_P @ SV3 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[41]) ).
thf(43,plain,
! [SV2: a,SV3: a > $o] :
( ( ( SV3
= ( sK11_SY17 @ SV2 ) )
= $true )
| ( ( SV3 @ SV2 )
= $false )
| ( ( sK1_P @ SV3 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[41]) ).
thf(44,plain,
! [SV2: a,SV5: a,SV3: a > $o] :
( ( ( ( SV3 @ SV5 )
= ( sK11_SY17 @ SV2 @ SV5 ) )
= $true )
| ( ( SV3 @ SV2 )
= $false )
| ( ( sK1_P @ SV3 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[42]) ).
thf(45,plain,
! [SV2: a,SV5: a,SV3: a > $o] :
( ( ( ~ ( ( SV3 @ SV5 )
| ( sK11_SY17 @ SV2 @ SV5 ) )
| ~ ( ~ ( SV3 @ SV5 )
| ~ ( sK11_SY17 @ SV2 @ SV5 ) ) )
= $true )
| ( ( SV3 @ SV2 )
= $false )
| ( ( sK1_P @ SV3 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[44]) ).
thf(46,plain,
! [SV2: a,SV5: a,SV3: a > $o] :
( ( ( ( SV3 @ SV5 )
= ( sK11_SY17 @ SV2 @ SV5 ) )
= $true )
| ( ( SV3 @ SV2 )
= $false )
| ( ( sK1_P @ SV3 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[44]) ).
thf(47,plain,
! [SV2: a,SV5: a,SV3: a > $o] :
( ( ( ~ ( ( SV3 @ SV5 )
| ( sK11_SY17 @ SV2 @ SV5 ) ) )
= $true )
| ( ( ~ ( ~ ( SV3 @ SV5 )
| ~ ( sK11_SY17 @ SV2 @ SV5 ) ) )
= $true )
| ( ( SV3 @ SV2 )
= $false )
| ( ( sK1_P @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[45]) ).
thf(48,plain,
! [SV2: a,SV5: a,SV3: a > $o] :
( ( ( ( SV3 @ SV5 )
| ( sK11_SY17 @ SV2 @ SV5 ) )
= $false )
| ( ( ~ ( ~ ( SV3 @ SV5 )
| ~ ( sK11_SY17 @ SV2 @ SV5 ) ) )
= $true )
| ( ( SV3 @ SV2 )
= $false )
| ( ( sK1_P @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[47]) ).
thf(49,plain,
! [SV2: a,SV5: a,SV3: a > $o] :
( ( ( SV3 @ SV5 )
= $false )
| ( ( ~ ( ~ ( SV3 @ SV5 )
| ~ ( sK11_SY17 @ SV2 @ SV5 ) ) )
= $true )
| ( ( SV3 @ SV2 )
= $false )
| ( ( sK1_P @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[48]) ).
thf(50,plain,
! [SV3: a > $o,SV5: a,SV2: a] :
( ( ( sK11_SY17 @ SV2 @ SV5 )
= $false )
| ( ( ~ ( ~ ( SV3 @ SV5 )
| ~ ( sK11_SY17 @ SV2 @ SV5 ) ) )
= $true )
| ( ( SV3 @ SV2 )
= $false )
| ( ( sK1_P @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[48]) ).
thf(51,plain,
! [SV2: a,SV5: a,SV3: a > $o] :
( ( ( ~ ( SV3 @ SV5 )
| ~ ( sK11_SY17 @ SV2 @ SV5 ) )
= $false )
| ( ( SV3 @ SV5 )
= $false )
| ( ( SV3 @ SV2 )
= $false )
| ( ( sK1_P @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[49]) ).
thf(52,plain,
! [SV2: a,SV5: a,SV3: a > $o] :
( ( ( ~ ( SV3 @ SV5 )
| ~ ( sK11_SY17 @ SV2 @ SV5 ) )
= $false )
| ( ( sK11_SY17 @ SV2 @ SV5 )
= $false )
| ( ( SV3 @ SV2 )
= $false )
| ( ( sK1_P @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[50]) ).
thf(53,plain,
! [SV2: a,SV5: a,SV3: a > $o] :
( ( ( ~ ( SV3 @ SV5 ) )
= $false )
| ( ( SV3 @ SV5 )
= $false )
| ( ( SV3 @ SV2 )
= $false )
| ( ( sK1_P @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[51]) ).
thf(54,plain,
! [SV3: a > $o,SV5: a,SV2: a] :
( ( ( ~ ( sK11_SY17 @ SV2 @ SV5 ) )
= $false )
| ( ( SV3 @ SV5 )
= $false )
| ( ( SV3 @ SV2 )
= $false )
| ( ( sK1_P @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[51]) ).
thf(55,plain,
! [SV2: a,SV5: a,SV3: a > $o] :
( ( ( ~ ( SV3 @ SV5 ) )
= $false )
| ( ( sK11_SY17 @ SV2 @ SV5 )
= $false )
| ( ( SV3 @ SV2 )
= $false )
| ( ( sK1_P @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[52]) ).
thf(56,plain,
! [SV3: a > $o,SV5: a,SV2: a] :
( ( ( ~ ( sK11_SY17 @ SV2 @ SV5 ) )
= $false )
| ( ( sK11_SY17 @ SV2 @ SV5 )
= $false )
| ( ( SV3 @ SV2 )
= $false )
| ( ( sK1_P @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[52]) ).
thf(57,plain,
! [SV2: a,SV5: a,SV3: a > $o] :
( ( ( SV3 @ SV5 )
= $true )
| ( ( SV3 @ SV5 )
= $false )
| ( ( SV3 @ SV2 )
= $false )
| ( ( sK1_P @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[53]) ).
thf(58,plain,
! [SV3: a > $o,SV5: a,SV2: a] :
( ( ( sK11_SY17 @ SV2 @ SV5 )
= $true )
| ( ( SV3 @ SV5 )
= $false )
| ( ( SV3 @ SV2 )
= $false )
| ( ( sK1_P @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[54]) ).
thf(59,plain,
! [SV2: a,SV5: a,SV3: a > $o] :
( ( ( SV3 @ SV5 )
= $true )
| ( ( sK11_SY17 @ SV2 @ SV5 )
= $false )
| ( ( SV3 @ SV2 )
= $false )
| ( ( sK1_P @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[55]) ).
thf(60,plain,
! [SV3: a > $o,SV5: a,SV2: a] :
( ( ( sK11_SY17 @ SV2 @ SV5 )
= $true )
| ( ( sK11_SY17 @ SV2 @ SV5 )
= $false )
| ( ( SV3 @ SV2 )
= $false )
| ( ( sK1_P @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[56]) ).
thf(61,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[33,60,59,58,57,46,43,39,38]) ).
thf(62,plain,
( ( ! [SY16: a] :
( ! [SY49: a > $o] :
( ~ ( SY49 @ SY16 )
| ~ ( sK1_P @ SY49 )
| ( SY49
= ( sK11_SY17 @ SY16 ) ) )
& ( sK11_SY17 @ SY16 @ SY16 )
& ( sK1_P @ ( sK11_SY17 @ SY16 ) ) ) )
= $true ),
inference(copy,[status(thm)],[16]) ).
thf(63,plain,
( ( ( sK5_SY35 @ sK3_SY21 )
& ( sK1_P @ sK5_SY35 )
& ( sK5_SY35 @ sK4_SY32 )
& ! [SY36: a > $o] :
( ~ ( SY36 @ sK4_SY32 )
| ~ ( sK1_P @ SY36 )
| ~ ( SY36 @ sK3_SY21 ) ) )
= $true ),
inference(copy,[status(thm)],[14]) ).
thf(64,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( sK5_SY35 @ sK3_SY21 )
| ~ ( sK1_P @ sK5_SY35 ) )
| ~ ( sK5_SY35 @ sK4_SY32 ) )
| ~ ! [SX0: a > $o] :
( ~ ( SX0 @ sK4_SY32 )
| ~ ( sK1_P @ SX0 )
| ~ ( SX0 @ sK3_SY21 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[63]) ).
thf(65,plain,
( ( ! [SX0: a] :
~ ( ~ ! [SX1: a > $o] :
( ~ ( SX1 @ SX0 )
| ~ ( sK1_P @ SX1 )
| ( SX1
= ( sK11_SY17 @ SX0 ) ) )
| ~ ~ ( ~ ( sK11_SY17 @ SX0 @ SX0 )
| ~ ( sK1_P @ ( sK11_SY17 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[62]) ).
thf(66,plain,
( ( ~ ~ ( ~ ~ ( ~ ( sK5_SY35 @ sK3_SY21 )
| ~ ( sK1_P @ sK5_SY35 ) )
| ~ ( sK5_SY35 @ sK4_SY32 ) )
| ~ ! [SX0: a > $o] :
( ~ ( SX0 @ sK4_SY32 )
| ~ ( sK1_P @ SX0 )
| ~ ( SX0 @ sK3_SY21 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[64]) ).
thf(67,plain,
! [SV6: a] :
( ( ~ ( ~ ! [SY51: a > $o] :
( ~ ( SY51 @ SV6 )
| ~ ( sK1_P @ SY51 )
| ( SY51
= ( sK11_SY17 @ SV6 ) ) )
| ~ ~ ( ~ ( sK11_SY17 @ SV6 @ SV6 )
| ~ ( sK1_P @ ( sK11_SY17 @ SV6 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[65]) ).
thf(68,plain,
( ( ~ ~ ( ~ ~ ( ~ ( sK5_SY35 @ sK3_SY21 )
| ~ ( sK1_P @ sK5_SY35 ) )
| ~ ( sK5_SY35 @ sK4_SY32 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[66]) ).
thf(69,plain,
( ( ~ ! [SX0: a > $o] :
( ~ ( SX0 @ sK4_SY32 )
| ~ ( sK1_P @ SX0 )
| ~ ( SX0 @ sK3_SY21 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[66]) ).
thf(70,plain,
! [SV6: a] :
( ( ~ ! [SY51: a > $o] :
( ~ ( SY51 @ SV6 )
| ~ ( sK1_P @ SY51 )
| ( SY51
= ( sK11_SY17 @ SV6 ) ) )
| ~ ~ ( ~ ( sK11_SY17 @ SV6 @ SV6 )
| ~ ( sK1_P @ ( sK11_SY17 @ SV6 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[67]) ).
thf(71,plain,
( ( ~ ( ~ ~ ( ~ ( sK5_SY35 @ sK3_SY21 )
| ~ ( sK1_P @ sK5_SY35 ) )
| ~ ( sK5_SY35 @ sK4_SY32 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[68]) ).
thf(72,plain,
( ( ! [SX0: a > $o] :
( ~ ( SX0 @ sK4_SY32 )
| ~ ( sK1_P @ SX0 )
| ~ ( SX0 @ sK3_SY21 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[69]) ).
thf(73,plain,
! [SV6: a] :
( ( ~ ! [SY51: a > $o] :
( ~ ( SY51 @ SV6 )
| ~ ( sK1_P @ SY51 )
| ( SY51
= ( sK11_SY17 @ SV6 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[70]) ).
thf(74,plain,
! [SV6: a] :
( ( ~ ~ ( ~ ( sK11_SY17 @ SV6 @ SV6 )
| ~ ( sK1_P @ ( sK11_SY17 @ SV6 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[70]) ).
thf(75,plain,
( ( ~ ~ ( ~ ( sK5_SY35 @ sK3_SY21 )
| ~ ( sK1_P @ sK5_SY35 ) )
| ~ ( sK5_SY35 @ sK4_SY32 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[71]) ).
thf(76,plain,
! [SV7: a > $o] :
( ( ~ ( SV7 @ sK4_SY32 )
| ~ ( sK1_P @ SV7 )
| ~ ( SV7 @ sK3_SY21 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[72]) ).
thf(77,plain,
! [SV6: a] :
( ( ! [SY51: a > $o] :
( ~ ( SY51 @ SV6 )
| ~ ( sK1_P @ SY51 )
| ( SY51
= ( sK11_SY17 @ SV6 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[73]) ).
thf(78,plain,
! [SV6: a] :
( ( ~ ( ~ ( sK11_SY17 @ SV6 @ SV6 )
| ~ ( sK1_P @ ( sK11_SY17 @ SV6 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[74]) ).
thf(79,plain,
( ( ~ ~ ( ~ ( sK5_SY35 @ sK3_SY21 )
| ~ ( sK1_P @ sK5_SY35 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[75]) ).
thf(80,plain,
( ( ~ ( sK5_SY35 @ sK4_SY32 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[75]) ).
thf(81,plain,
! [SV7: a > $o] :
( ( ( ~ ( SV7 @ sK4_SY32 )
| ~ ( sK1_P @ SV7 ) )
= $true )
| ( ( ~ ( SV7 @ sK3_SY21 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[76]) ).
thf(82,plain,
! [SV6: a,SV8: a > $o] :
( ( ~ ( SV8 @ SV6 )
| ~ ( sK1_P @ SV8 )
| ( SV8
= ( sK11_SY17 @ SV6 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[77]) ).
thf(83,plain,
! [SV6: a] :
( ( ~ ( sK11_SY17 @ SV6 @ SV6 )
| ~ ( sK1_P @ ( sK11_SY17 @ SV6 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[78]) ).
thf(84,plain,
( ( ~ ( ~ ( sK5_SY35 @ sK3_SY21 )
| ~ ( sK1_P @ sK5_SY35 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[79]) ).
thf(85,plain,
( ( sK5_SY35 @ sK4_SY32 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[80]) ).
thf(86,plain,
! [SV7: a > $o] :
( ( ( ~ ( SV7 @ sK4_SY32 ) )
= $true )
| ( ( ~ ( sK1_P @ SV7 ) )
= $true )
| ( ( ~ ( SV7 @ sK3_SY21 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[81]) ).
thf(87,plain,
! [SV6: a,SV8: a > $o] :
( ( ( ~ ( SV8 @ SV6 )
| ~ ( sK1_P @ SV8 ) )
= $true )
| ( ( SV8
= ( sK11_SY17 @ SV6 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[82]) ).
thf(88,plain,
! [SV6: a] :
( ( ~ ( sK11_SY17 @ SV6 @ SV6 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[83]) ).
thf(89,plain,
! [SV6: a] :
( ( ~ ( sK1_P @ ( sK11_SY17 @ SV6 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[83]) ).
thf(90,plain,
( ( ~ ( sK5_SY35 @ sK3_SY21 )
| ~ ( sK1_P @ sK5_SY35 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[84]) ).
thf(91,plain,
! [SV7: a > $o] :
( ( ( SV7 @ sK4_SY32 )
= $false )
| ( ( ~ ( sK1_P @ SV7 ) )
= $true )
| ( ( ~ ( SV7 @ sK3_SY21 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[86]) ).
thf(92,plain,
! [SV6: a,SV8: a > $o] :
( ( ( ~ ( SV8 @ SV6 ) )
= $true )
| ( ( ~ ( sK1_P @ SV8 ) )
= $true )
| ( ( SV8
= ( sK11_SY17 @ SV6 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[87]) ).
thf(93,plain,
! [SV6: a] :
( ( sK11_SY17 @ SV6 @ SV6 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[88]) ).
thf(94,plain,
! [SV6: a] :
( ( sK1_P @ ( sK11_SY17 @ SV6 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[89]) ).
thf(95,plain,
( ( ~ ( sK5_SY35 @ sK3_SY21 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[90]) ).
thf(96,plain,
( ( ~ ( sK1_P @ sK5_SY35 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[90]) ).
thf(97,plain,
! [SV7: a > $o] :
( ( ( sK1_P @ SV7 )
= $false )
| ( ( SV7 @ sK4_SY32 )
= $false )
| ( ( ~ ( SV7 @ sK3_SY21 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[91]) ).
thf(98,plain,
! [SV6: a,SV8: a > $o] :
( ( ( SV8 @ SV6 )
= $false )
| ( ( ~ ( sK1_P @ SV8 ) )
= $true )
| ( ( SV8
= ( sK11_SY17 @ SV6 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[92]) ).
thf(99,plain,
( ( sK5_SY35 @ sK3_SY21 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[95]) ).
thf(100,plain,
( ( sK1_P @ sK5_SY35 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[96]) ).
thf(101,plain,
! [SV7: a > $o] :
( ( ( SV7 @ sK3_SY21 )
= $false )
| ( ( SV7 @ sK4_SY32 )
= $false )
| ( ( sK1_P @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[97]) ).
thf(102,plain,
! [SV6: a,SV8: a > $o] :
( ( ( sK1_P @ SV8 )
= $false )
| ( ( SV8 @ SV6 )
= $false )
| ( ( SV8
= ( sK11_SY17 @ SV6 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[98]) ).
thf(103,plain,
! [SV6: a,SV8: a > $o] :
( ( ( ! [SV9: a] :
( ( SV8 @ SV9 )
= ( sK11_SY17 @ SV6 @ SV9 ) ) )
= $true )
| ( ( SV8 @ SV6 )
= $false )
| ( ( sK1_P @ SV8 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[102]) ).
thf(104,plain,
! [SV6: a,SV8: a > $o] :
( ( ( SV8
= ( sK11_SY17 @ SV6 ) )
= $true )
| ( ( SV8 @ SV6 )
= $false )
| ( ( sK1_P @ SV8 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[102]) ).
thf(105,plain,
! [SV6: a,SV10: a,SV8: a > $o] :
( ( ( ( SV8 @ SV10 )
= ( sK11_SY17 @ SV6 @ SV10 ) )
= $true )
| ( ( SV8 @ SV6 )
= $false )
| ( ( sK1_P @ SV8 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[103]) ).
thf(106,plain,
! [SV6: a,SV10: a,SV8: a > $o] :
( ( ( ~ ( ( SV8 @ SV10 )
| ( sK11_SY17 @ SV6 @ SV10 ) )
| ~ ( ~ ( SV8 @ SV10 )
| ~ ( sK11_SY17 @ SV6 @ SV10 ) ) )
= $true )
| ( ( SV8 @ SV6 )
= $false )
| ( ( sK1_P @ SV8 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[105]) ).
thf(107,plain,
! [SV6: a,SV10: a,SV8: a > $o] :
( ( ( ( SV8 @ SV10 )
= ( sK11_SY17 @ SV6 @ SV10 ) )
= $true )
| ( ( SV8 @ SV6 )
= $false )
| ( ( sK1_P @ SV8 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[105]) ).
thf(108,plain,
! [SV6: a,SV10: a,SV8: a > $o] :
( ( ( ~ ( ( SV8 @ SV10 )
| ( sK11_SY17 @ SV6 @ SV10 ) ) )
= $true )
| ( ( ~ ( ~ ( SV8 @ SV10 )
| ~ ( sK11_SY17 @ SV6 @ SV10 ) ) )
= $true )
| ( ( SV8 @ SV6 )
= $false )
| ( ( sK1_P @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[106]) ).
thf(109,plain,
! [SV6: a,SV10: a,SV8: a > $o] :
( ( ( ( SV8 @ SV10 )
| ( sK11_SY17 @ SV6 @ SV10 ) )
= $false )
| ( ( ~ ( ~ ( SV8 @ SV10 )
| ~ ( sK11_SY17 @ SV6 @ SV10 ) ) )
= $true )
| ( ( SV8 @ SV6 )
= $false )
| ( ( sK1_P @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[108]) ).
thf(110,plain,
! [SV6: a,SV10: a,SV8: a > $o] :
( ( ( SV8 @ SV10 )
= $false )
| ( ( ~ ( ~ ( SV8 @ SV10 )
| ~ ( sK11_SY17 @ SV6 @ SV10 ) ) )
= $true )
| ( ( SV8 @ SV6 )
= $false )
| ( ( sK1_P @ SV8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[109]) ).
thf(111,plain,
! [SV8: a > $o,SV10: a,SV6: a] :
( ( ( sK11_SY17 @ SV6 @ SV10 )
= $false )
| ( ( ~ ( ~ ( SV8 @ SV10 )
| ~ ( sK11_SY17 @ SV6 @ SV10 ) ) )
= $true )
| ( ( SV8 @ SV6 )
= $false )
| ( ( sK1_P @ SV8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[109]) ).
thf(112,plain,
! [SV6: a,SV10: a,SV8: a > $o] :
( ( ( ~ ( SV8 @ SV10 )
| ~ ( sK11_SY17 @ SV6 @ SV10 ) )
= $false )
| ( ( SV8 @ SV10 )
= $false )
| ( ( SV8 @ SV6 )
= $false )
| ( ( sK1_P @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[110]) ).
thf(113,plain,
! [SV6: a,SV10: a,SV8: a > $o] :
( ( ( ~ ( SV8 @ SV10 )
| ~ ( sK11_SY17 @ SV6 @ SV10 ) )
= $false )
| ( ( sK11_SY17 @ SV6 @ SV10 )
= $false )
| ( ( SV8 @ SV6 )
= $false )
| ( ( sK1_P @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[111]) ).
thf(114,plain,
! [SV6: a,SV10: a,SV8: a > $o] :
( ( ( ~ ( SV8 @ SV10 ) )
= $false )
| ( ( SV8 @ SV10 )
= $false )
| ( ( SV8 @ SV6 )
= $false )
| ( ( sK1_P @ SV8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[112]) ).
thf(115,plain,
! [SV8: a > $o,SV10: a,SV6: a] :
( ( ( ~ ( sK11_SY17 @ SV6 @ SV10 ) )
= $false )
| ( ( SV8 @ SV10 )
= $false )
| ( ( SV8 @ SV6 )
= $false )
| ( ( sK1_P @ SV8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[112]) ).
thf(116,plain,
! [SV6: a,SV10: a,SV8: a > $o] :
( ( ( ~ ( SV8 @ SV10 ) )
= $false )
| ( ( sK11_SY17 @ SV6 @ SV10 )
= $false )
| ( ( SV8 @ SV6 )
= $false )
| ( ( sK1_P @ SV8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[113]) ).
thf(117,plain,
! [SV8: a > $o,SV10: a,SV6: a] :
( ( ( ~ ( sK11_SY17 @ SV6 @ SV10 ) )
= $false )
| ( ( sK11_SY17 @ SV6 @ SV10 )
= $false )
| ( ( SV8 @ SV6 )
= $false )
| ( ( sK1_P @ SV8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[113]) ).
thf(118,plain,
! [SV6: a,SV10: a,SV8: a > $o] :
( ( ( SV8 @ SV10 )
= $true )
| ( ( SV8 @ SV10 )
= $false )
| ( ( SV8 @ SV6 )
= $false )
| ( ( sK1_P @ SV8 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[114]) ).
thf(119,plain,
! [SV8: a > $o,SV10: a,SV6: a] :
( ( ( sK11_SY17 @ SV6 @ SV10 )
= $true )
| ( ( SV8 @ SV10 )
= $false )
| ( ( SV8 @ SV6 )
= $false )
| ( ( sK1_P @ SV8 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[115]) ).
thf(120,plain,
! [SV6: a,SV10: a,SV8: a > $o] :
( ( ( SV8 @ SV10 )
= $true )
| ( ( sK11_SY17 @ SV6 @ SV10 )
= $false )
| ( ( SV8 @ SV6 )
= $false )
| ( ( sK1_P @ SV8 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[116]) ).
thf(121,plain,
! [SV8: a > $o,SV10: a,SV6: a] :
( ( ( sK11_SY17 @ SV6 @ SV10 )
= $true )
| ( ( sK11_SY17 @ SV6 @ SV10 )
= $false )
| ( ( SV8 @ SV6 )
= $false )
| ( ( sK1_P @ SV8 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[117]) ).
thf(122,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[85,121,120,119,118,107,104,101,100,99,94,93]) ).
thf(123,plain,
( ( ! [SY16: a] :
( ! [SY49: a > $o] :
( ~ ( SY49 @ SY16 )
| ~ ( sK1_P @ SY49 )
| ( SY49
= ( sK11_SY17 @ SY16 ) ) )
& ( sK11_SY17 @ SY16 @ SY16 )
& ( sK1_P @ ( sK11_SY17 @ SY16 ) ) ) )
= $true ),
inference(copy,[status(thm)],[16]) ).
thf(124,plain,
( ( ( sK10_SY43 @ sK6_SY25 )
& ( sK1_P @ sK10_SY43 )
& ( sK10_SY43 @ sK7_SY37 )
& ( sK9_SY47 @ sK7_SY37 )
& ( sK1_P @ sK9_SY47 )
& ( sK9_SY47 @ sK8_SY42 )
& ! [SY48: a > $o] :
( ~ ( SY48 @ sK6_SY25 )
| ~ ( sK1_P @ SY48 )
| ~ ( SY48 @ sK8_SY42 ) ) )
= $true ),
inference(copy,[status(thm)],[15]) ).
thf(125,plain,
( ( ! [SX0: a] :
~ ( ~ ! [SX1: a > $o] :
( ~ ( SX1 @ SX0 )
| ~ ( sK1_P @ SX1 )
| ( SX1
= ( sK11_SY17 @ SX0 ) ) )
| ~ ~ ( ~ ( sK11_SY17 @ SX0 @ SX0 )
| ~ ( sK1_P @ ( sK11_SY17 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[123]) ).
thf(126,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( sK10_SY43 @ sK6_SY25 )
| ~ ( sK1_P @ sK10_SY43 ) )
| ~ ( sK10_SY43 @ sK7_SY37 ) )
| ~ ~ ( ~ ~ ( ~ ( sK9_SY47 @ sK7_SY37 )
| ~ ( sK1_P @ sK9_SY47 ) )
| ~ ( sK9_SY47 @ sK8_SY42 ) ) )
| ~ ! [SX0: a > $o] :
( ~ ( SX0 @ sK6_SY25 )
| ~ ( sK1_P @ SX0 )
| ~ ( SX0 @ sK8_SY42 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[124]) ).
thf(127,plain,
! [SV11: a] :
( ( ~ ( ~ ! [SY52: a > $o] :
( ~ ( SY52 @ SV11 )
| ~ ( sK1_P @ SY52 )
| ( SY52
= ( sK11_SY17 @ SV11 ) ) )
| ~ ~ ( ~ ( sK11_SY17 @ SV11 @ SV11 )
| ~ ( sK1_P @ ( sK11_SY17 @ SV11 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[125]) ).
thf(128,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( sK10_SY43 @ sK6_SY25 )
| ~ ( sK1_P @ sK10_SY43 ) )
| ~ ( sK10_SY43 @ sK7_SY37 ) )
| ~ ~ ( ~ ~ ( ~ ( sK9_SY47 @ sK7_SY37 )
| ~ ( sK1_P @ sK9_SY47 ) )
| ~ ( sK9_SY47 @ sK8_SY42 ) ) )
| ~ ! [SX0: a > $o] :
( ~ ( SX0 @ sK6_SY25 )
| ~ ( sK1_P @ SX0 )
| ~ ( SX0 @ sK8_SY42 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[126]) ).
thf(129,plain,
! [SV11: a] :
( ( ~ ! [SY52: a > $o] :
( ~ ( SY52 @ SV11 )
| ~ ( sK1_P @ SY52 )
| ( SY52
= ( sK11_SY17 @ SV11 ) ) )
| ~ ~ ( ~ ( sK11_SY17 @ SV11 @ SV11 )
| ~ ( sK1_P @ ( sK11_SY17 @ SV11 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[127]) ).
thf(130,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( sK10_SY43 @ sK6_SY25 )
| ~ ( sK1_P @ sK10_SY43 ) )
| ~ ( sK10_SY43 @ sK7_SY37 ) )
| ~ ~ ( ~ ~ ( ~ ( sK9_SY47 @ sK7_SY37 )
| ~ ( sK1_P @ sK9_SY47 ) )
| ~ ( sK9_SY47 @ sK8_SY42 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[128]) ).
thf(131,plain,
( ( ~ ! [SX0: a > $o] :
( ~ ( SX0 @ sK6_SY25 )
| ~ ( sK1_P @ SX0 )
| ~ ( SX0 @ sK8_SY42 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[128]) ).
thf(132,plain,
! [SV11: a] :
( ( ~ ! [SY52: a > $o] :
( ~ ( SY52 @ SV11 )
| ~ ( sK1_P @ SY52 )
| ( SY52
= ( sK11_SY17 @ SV11 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[129]) ).
thf(133,plain,
! [SV11: a] :
( ( ~ ~ ( ~ ( sK11_SY17 @ SV11 @ SV11 )
| ~ ( sK1_P @ ( sK11_SY17 @ SV11 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[129]) ).
thf(134,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( sK10_SY43 @ sK6_SY25 )
| ~ ( sK1_P @ sK10_SY43 ) )
| ~ ( sK10_SY43 @ sK7_SY37 ) )
| ~ ~ ( ~ ~ ( ~ ( sK9_SY47 @ sK7_SY37 )
| ~ ( sK1_P @ sK9_SY47 ) )
| ~ ( sK9_SY47 @ sK8_SY42 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[130]) ).
thf(135,plain,
( ( ! [SX0: a > $o] :
( ~ ( SX0 @ sK6_SY25 )
| ~ ( sK1_P @ SX0 )
| ~ ( SX0 @ sK8_SY42 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[131]) ).
thf(136,plain,
! [SV11: a] :
( ( ! [SY52: a > $o] :
( ~ ( SY52 @ SV11 )
| ~ ( sK1_P @ SY52 )
| ( SY52
= ( sK11_SY17 @ SV11 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[132]) ).
thf(137,plain,
! [SV11: a] :
( ( ~ ( ~ ( sK11_SY17 @ SV11 @ SV11 )
| ~ ( sK1_P @ ( sK11_SY17 @ SV11 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[133]) ).
thf(138,plain,
( ( ~ ~ ( ~ ~ ( ~ ( sK10_SY43 @ sK6_SY25 )
| ~ ( sK1_P @ sK10_SY43 ) )
| ~ ( sK10_SY43 @ sK7_SY37 ) )
| ~ ~ ( ~ ~ ( ~ ( sK9_SY47 @ sK7_SY37 )
| ~ ( sK1_P @ sK9_SY47 ) )
| ~ ( sK9_SY47 @ sK8_SY42 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[134]) ).
thf(139,plain,
! [SV12: a > $o] :
( ( ~ ( SV12 @ sK6_SY25 )
| ~ ( sK1_P @ SV12 )
| ~ ( SV12 @ sK8_SY42 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[135]) ).
thf(140,plain,
! [SV11: a,SV13: a > $o] :
( ( ~ ( SV13 @ SV11 )
| ~ ( sK1_P @ SV13 )
| ( SV13
= ( sK11_SY17 @ SV11 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[136]) ).
thf(141,plain,
! [SV11: a] :
( ( ~ ( sK11_SY17 @ SV11 @ SV11 )
| ~ ( sK1_P @ ( sK11_SY17 @ SV11 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[137]) ).
thf(142,plain,
( ( ~ ~ ( ~ ~ ( ~ ( sK10_SY43 @ sK6_SY25 )
| ~ ( sK1_P @ sK10_SY43 ) )
| ~ ( sK10_SY43 @ sK7_SY37 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[138]) ).
thf(143,plain,
( ( ~ ~ ( ~ ~ ( ~ ( sK9_SY47 @ sK7_SY37 )
| ~ ( sK1_P @ sK9_SY47 ) )
| ~ ( sK9_SY47 @ sK8_SY42 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[138]) ).
thf(144,plain,
! [SV12: a > $o] :
( ( ( ~ ( SV12 @ sK6_SY25 )
| ~ ( sK1_P @ SV12 ) )
= $true )
| ( ( ~ ( SV12 @ sK8_SY42 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[139]) ).
thf(145,plain,
! [SV11: a,SV13: a > $o] :
( ( ( ~ ( SV13 @ SV11 )
| ~ ( sK1_P @ SV13 ) )
= $true )
| ( ( SV13
= ( sK11_SY17 @ SV11 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[140]) ).
thf(146,plain,
! [SV11: a] :
( ( ~ ( sK11_SY17 @ SV11 @ SV11 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[141]) ).
thf(147,plain,
! [SV11: a] :
( ( ~ ( sK1_P @ ( sK11_SY17 @ SV11 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[141]) ).
thf(148,plain,
( ( ~ ( ~ ~ ( ~ ( sK10_SY43 @ sK6_SY25 )
| ~ ( sK1_P @ sK10_SY43 ) )
| ~ ( sK10_SY43 @ sK7_SY37 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[142]) ).
thf(149,plain,
( ( ~ ( ~ ~ ( ~ ( sK9_SY47 @ sK7_SY37 )
| ~ ( sK1_P @ sK9_SY47 ) )
| ~ ( sK9_SY47 @ sK8_SY42 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[143]) ).
thf(150,plain,
! [SV12: a > $o] :
( ( ( ~ ( SV12 @ sK6_SY25 ) )
= $true )
| ( ( ~ ( sK1_P @ SV12 ) )
= $true )
| ( ( ~ ( SV12 @ sK8_SY42 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[144]) ).
thf(151,plain,
! [SV11: a,SV13: a > $o] :
( ( ( ~ ( SV13 @ SV11 ) )
= $true )
| ( ( ~ ( sK1_P @ SV13 ) )
= $true )
| ( ( SV13
= ( sK11_SY17 @ SV11 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[145]) ).
thf(152,plain,
! [SV11: a] :
( ( sK11_SY17 @ SV11 @ SV11 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[146]) ).
thf(153,plain,
! [SV11: a] :
( ( sK1_P @ ( sK11_SY17 @ SV11 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[147]) ).
thf(154,plain,
( ( ~ ~ ( ~ ( sK10_SY43 @ sK6_SY25 )
| ~ ( sK1_P @ sK10_SY43 ) )
| ~ ( sK10_SY43 @ sK7_SY37 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[148]) ).
thf(155,plain,
( ( ~ ~ ( ~ ( sK9_SY47 @ sK7_SY37 )
| ~ ( sK1_P @ sK9_SY47 ) )
| ~ ( sK9_SY47 @ sK8_SY42 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[149]) ).
thf(156,plain,
! [SV12: a > $o] :
( ( ( SV12 @ sK6_SY25 )
= $false )
| ( ( ~ ( sK1_P @ SV12 ) )
= $true )
| ( ( ~ ( SV12 @ sK8_SY42 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[150]) ).
thf(157,plain,
! [SV11: a,SV13: a > $o] :
( ( ( SV13 @ SV11 )
= $false )
| ( ( ~ ( sK1_P @ SV13 ) )
= $true )
| ( ( SV13
= ( sK11_SY17 @ SV11 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[151]) ).
thf(158,plain,
( ( ~ ~ ( ~ ( sK10_SY43 @ sK6_SY25 )
| ~ ( sK1_P @ sK10_SY43 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[154]) ).
thf(159,plain,
( ( ~ ( sK10_SY43 @ sK7_SY37 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[154]) ).
thf(160,plain,
( ( ~ ~ ( ~ ( sK9_SY47 @ sK7_SY37 )
| ~ ( sK1_P @ sK9_SY47 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[155]) ).
thf(161,plain,
( ( ~ ( sK9_SY47 @ sK8_SY42 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[155]) ).
thf(162,plain,
! [SV12: a > $o] :
( ( ( sK1_P @ SV12 )
= $false )
| ( ( SV12 @ sK6_SY25 )
= $false )
| ( ( ~ ( SV12 @ sK8_SY42 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[156]) ).
thf(163,plain,
! [SV11: a,SV13: a > $o] :
( ( ( sK1_P @ SV13 )
= $false )
| ( ( SV13 @ SV11 )
= $false )
| ( ( SV13
= ( sK11_SY17 @ SV11 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[157]) ).
thf(164,plain,
( ( ~ ( ~ ( sK10_SY43 @ sK6_SY25 )
| ~ ( sK1_P @ sK10_SY43 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[158]) ).
thf(165,plain,
( ( sK10_SY43 @ sK7_SY37 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[159]) ).
thf(166,plain,
( ( ~ ( ~ ( sK9_SY47 @ sK7_SY37 )
| ~ ( sK1_P @ sK9_SY47 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[160]) ).
thf(167,plain,
( ( sK9_SY47 @ sK8_SY42 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[161]) ).
thf(168,plain,
! [SV12: a > $o] :
( ( ( SV12 @ sK8_SY42 )
= $false )
| ( ( SV12 @ sK6_SY25 )
= $false )
| ( ( sK1_P @ SV12 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[162]) ).
thf(169,plain,
! [SV11: a,SV13: a > $o] :
( ( ( ! [SV14: a] :
( ( SV13 @ SV14 )
= ( sK11_SY17 @ SV11 @ SV14 ) ) )
= $true )
| ( ( SV13 @ SV11 )
= $false )
| ( ( sK1_P @ SV13 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[163]) ).
thf(170,plain,
! [SV11: a,SV13: a > $o] :
( ( ( SV13
= ( sK11_SY17 @ SV11 ) )
= $true )
| ( ( SV13 @ SV11 )
= $false )
| ( ( sK1_P @ SV13 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[163]) ).
thf(171,plain,
( ( ~ ( sK10_SY43 @ sK6_SY25 )
| ~ ( sK1_P @ sK10_SY43 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[164]) ).
thf(172,plain,
( ( ~ ( sK9_SY47 @ sK7_SY37 )
| ~ ( sK1_P @ sK9_SY47 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[166]) ).
thf(173,plain,
! [SV11: a,SV15: a,SV13: a > $o] :
( ( ( ( SV13 @ SV15 )
= ( sK11_SY17 @ SV11 @ SV15 ) )
= $true )
| ( ( SV13 @ SV11 )
= $false )
| ( ( sK1_P @ SV13 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[169]) ).
thf(174,plain,
( ( ~ ( sK10_SY43 @ sK6_SY25 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[171]) ).
thf(175,plain,
( ( ~ ( sK1_P @ sK10_SY43 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[171]) ).
thf(176,plain,
( ( ~ ( sK9_SY47 @ sK7_SY37 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[172]) ).
thf(177,plain,
( ( ~ ( sK1_P @ sK9_SY47 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[172]) ).
thf(178,plain,
! [SV11: a,SV15: a,SV13: a > $o] :
( ( ( ~ ( ( SV13 @ SV15 )
| ( sK11_SY17 @ SV11 @ SV15 ) )
| ~ ( ~ ( SV13 @ SV15 )
| ~ ( sK11_SY17 @ SV11 @ SV15 ) ) )
= $true )
| ( ( SV13 @ SV11 )
= $false )
| ( ( sK1_P @ SV13 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[173]) ).
thf(179,plain,
! [SV11: a,SV15: a,SV13: a > $o] :
( ( ( ( SV13 @ SV15 )
= ( sK11_SY17 @ SV11 @ SV15 ) )
= $true )
| ( ( SV13 @ SV11 )
= $false )
| ( ( sK1_P @ SV13 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[173]) ).
thf(180,plain,
( ( sK10_SY43 @ sK6_SY25 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[174]) ).
thf(181,plain,
( ( sK1_P @ sK10_SY43 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[175]) ).
thf(182,plain,
( ( sK9_SY47 @ sK7_SY37 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[176]) ).
thf(183,plain,
( ( sK1_P @ sK9_SY47 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[177]) ).
thf(184,plain,
! [SV11: a,SV15: a,SV13: a > $o] :
( ( ( ~ ( ( SV13 @ SV15 )
| ( sK11_SY17 @ SV11 @ SV15 ) ) )
= $true )
| ( ( ~ ( ~ ( SV13 @ SV15 )
| ~ ( sK11_SY17 @ SV11 @ SV15 ) ) )
= $true )
| ( ( SV13 @ SV11 )
= $false )
| ( ( sK1_P @ SV13 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[178]) ).
thf(185,plain,
! [SV11: a,SV15: a,SV13: a > $o] :
( ( ( ( SV13 @ SV15 )
| ( sK11_SY17 @ SV11 @ SV15 ) )
= $false )
| ( ( ~ ( ~ ( SV13 @ SV15 )
| ~ ( sK11_SY17 @ SV11 @ SV15 ) ) )
= $true )
| ( ( SV13 @ SV11 )
= $false )
| ( ( sK1_P @ SV13 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[184]) ).
thf(186,plain,
! [SV11: a,SV15: a,SV13: a > $o] :
( ( ( SV13 @ SV15 )
= $false )
| ( ( ~ ( ~ ( SV13 @ SV15 )
| ~ ( sK11_SY17 @ SV11 @ SV15 ) ) )
= $true )
| ( ( SV13 @ SV11 )
= $false )
| ( ( sK1_P @ SV13 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[185]) ).
thf(187,plain,
! [SV13: a > $o,SV15: a,SV11: a] :
( ( ( sK11_SY17 @ SV11 @ SV15 )
= $false )
| ( ( ~ ( ~ ( SV13 @ SV15 )
| ~ ( sK11_SY17 @ SV11 @ SV15 ) ) )
= $true )
| ( ( SV13 @ SV11 )
= $false )
| ( ( sK1_P @ SV13 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[185]) ).
thf(188,plain,
! [SV11: a,SV15: a,SV13: a > $o] :
( ( ( ~ ( SV13 @ SV15 )
| ~ ( sK11_SY17 @ SV11 @ SV15 ) )
= $false )
| ( ( SV13 @ SV15 )
= $false )
| ( ( SV13 @ SV11 )
= $false )
| ( ( sK1_P @ SV13 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[186]) ).
thf(189,plain,
! [SV11: a,SV15: a,SV13: a > $o] :
( ( ( ~ ( SV13 @ SV15 )
| ~ ( sK11_SY17 @ SV11 @ SV15 ) )
= $false )
| ( ( sK11_SY17 @ SV11 @ SV15 )
= $false )
| ( ( SV13 @ SV11 )
= $false )
| ( ( sK1_P @ SV13 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[187]) ).
thf(190,plain,
! [SV11: a,SV15: a,SV13: a > $o] :
( ( ( ~ ( SV13 @ SV15 ) )
= $false )
| ( ( SV13 @ SV15 )
= $false )
| ( ( SV13 @ SV11 )
= $false )
| ( ( sK1_P @ SV13 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[188]) ).
thf(191,plain,
! [SV13: a > $o,SV15: a,SV11: a] :
( ( ( ~ ( sK11_SY17 @ SV11 @ SV15 ) )
= $false )
| ( ( SV13 @ SV15 )
= $false )
| ( ( SV13 @ SV11 )
= $false )
| ( ( sK1_P @ SV13 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[188]) ).
thf(192,plain,
! [SV11: a,SV15: a,SV13: a > $o] :
( ( ( ~ ( SV13 @ SV15 ) )
= $false )
| ( ( sK11_SY17 @ SV11 @ SV15 )
= $false )
| ( ( SV13 @ SV11 )
= $false )
| ( ( sK1_P @ SV13 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[189]) ).
thf(193,plain,
! [SV13: a > $o,SV15: a,SV11: a] :
( ( ( ~ ( sK11_SY17 @ SV11 @ SV15 ) )
= $false )
| ( ( sK11_SY17 @ SV11 @ SV15 )
= $false )
| ( ( SV13 @ SV11 )
= $false )
| ( ( sK1_P @ SV13 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[189]) ).
thf(194,plain,
! [SV11: a,SV15: a,SV13: a > $o] :
( ( ( SV13 @ SV15 )
= $true )
| ( ( SV13 @ SV15 )
= $false )
| ( ( SV13 @ SV11 )
= $false )
| ( ( sK1_P @ SV13 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[190]) ).
thf(195,plain,
! [SV13: a > $o,SV15: a,SV11: a] :
( ( ( sK11_SY17 @ SV11 @ SV15 )
= $true )
| ( ( SV13 @ SV15 )
= $false )
| ( ( SV13 @ SV11 )
= $false )
| ( ( sK1_P @ SV13 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[191]) ).
thf(196,plain,
! [SV11: a,SV15: a,SV13: a > $o] :
( ( ( SV13 @ SV15 )
= $true )
| ( ( sK11_SY17 @ SV11 @ SV15 )
= $false )
| ( ( SV13 @ SV11 )
= $false )
| ( ( sK1_P @ SV13 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[192]) ).
thf(197,plain,
! [SV13: a > $o,SV15: a,SV11: a] :
( ( ( sK11_SY17 @ SV11 @ SV15 )
= $true )
| ( ( sK11_SY17 @ SV11 @ SV15 )
= $false )
| ( ( SV13 @ SV11 )
= $false )
| ( ( sK1_P @ SV13 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[193]) ).
thf(198,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[152,197,196,195,194,183,182,181,180,179,170,168,167,165,153]) ).
thf(199,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[198,61,122]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEV009^5 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.34 % Computer : n009.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Tue Jun 28 16:21:22 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.35
% 0.12/0.35 No.of.Axioms: 0
% 0.12/0.35
% 0.12/0.35 Length.of.Defs: 0
% 0.12/0.35
% 0.12/0.35 Contains.Choice.Funs: false
% 0.12/0.36 (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)......
% 0.19/0.47
% 0.19/0.47 ********************************
% 0.19/0.47 * All subproblems solved! *
% 0.19/0.47 ********************************
% 0.19/0.47 % 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:198,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.19/0.49
% 0.19/0.49 %**** Beginning of derivation protocol ****
% 0.19/0.49 % SZS output start CNFRefutation
% See solution above
% 0.19/0.49
% 0.19/0.49 %**** End of derivation protocol ****
% 0.19/0.49 %**** no. of clauses in derivation: 199 ****
% 0.19/0.49 %**** clause counter: 198 ****
% 0.19/0.49
% 0.19/0.49 % 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:198,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------