TSTP Solution File: SEV044^5 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SEV044^5 : 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 : n021.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 17:34:29 EDT 2022
% Result : Theorem 0.19s 0.45s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 12
% Syntax : Number of formulae : 116 ( 68 unt; 11 typ; 0 def)
% Number of atoms : 678 ( 157 equ; 0 cnn)
% Maximal formula atoms : 4 ( 6 avg)
% Number of connectives : 1689 ( 235 ~; 199 |; 39 &;1137 @)
% ( 0 <=>; 79 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 3 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 64 ( 64 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 9 usr; 4 con; 0-3 aty)
% Number of variables : 355 ( 0 ^ 355 !; 0 ?; 355 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a,type,
a: $tType ).
thf(tp_b,type,
b: $tType ).
thf(tp_sK1_Xs,type,
sK1_Xs: b > $o ).
thf(tp_sK2_SY18,type,
sK2_SY18: b > a > a > $o ).
thf(tp_sK3_SY41,type,
sK3_SY41: b > a ).
thf(tp_sK4_SY51,type,
sK4_SY51: b > a ).
thf(tp_sK5_SY55,type,
sK5_SY55: b ).
thf(tp_sK6_SY45,type,
sK6_SY45: b > a ).
thf(tp_sK7_SY56,type,
sK7_SY56: b > a ).
thf(tp_sK8_SY61,type,
sK8_SY61: b > a ).
thf(tp_sK9_SY67,type,
sK9_SY67: b ).
thf(1,conjecture,
! [Xs: b > $o,Xp: b > a > a > $o] :
( ! [Xx: b] :
( ( Xs @ Xx )
=> ( ! [Xx0: a,Xy: a] :
( ( Xp @ Xx @ Xx0 @ Xy )
=> ( Xp @ Xx @ Xy @ Xx0 ) )
& ! [Xx0: a,Xy: a,Xz: a] :
( ( ( Xp @ Xx @ Xx0 @ Xy )
& ( Xp @ Xx @ Xy @ Xz ) )
=> ( Xp @ Xx @ Xx0 @ Xz ) ) ) )
=> ( ! [Xx: b > a,Xy: b > a] :
( ! [Xx0: b] :
( ( Xs @ Xx0 )
=> ( Xp @ Xx0 @ ( Xx @ Xx0 ) @ ( Xy @ Xx0 ) ) )
=> ! [Xx0: b] :
( ( Xs @ Xx0 )
=> ( Xp @ Xx0 @ ( Xy @ Xx0 ) @ ( Xx @ Xx0 ) ) ) )
& ! [Xx: b > a,Xy: b > a,Xz: b > a] :
( ( ! [Xx0: b] :
( ( Xs @ Xx0 )
=> ( Xp @ Xx0 @ ( Xx @ Xx0 ) @ ( Xy @ Xx0 ) ) )
& ! [Xx0: b] :
( ( Xs @ Xx0 )
=> ( Xp @ Xx0 @ ( Xy @ Xx0 ) @ ( Xz @ Xx0 ) ) ) )
=> ! [Xx0: b] :
( ( Xs @ Xx0 )
=> ( Xp @ Xx0 @ ( Xx @ Xx0 ) @ ( Xz @ Xx0 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM506_pme) ).
thf(2,negated_conjecture,
( ( ! [Xs: b > $o,Xp: b > a > a > $o] :
( ! [Xx: b] :
( ( Xs @ Xx )
=> ( ! [Xx0: a,Xy: a] :
( ( Xp @ Xx @ Xx0 @ Xy )
=> ( Xp @ Xx @ Xy @ Xx0 ) )
& ! [Xx0: a,Xy: a,Xz: a] :
( ( ( Xp @ Xx @ Xx0 @ Xy )
& ( Xp @ Xx @ Xy @ Xz ) )
=> ( Xp @ Xx @ Xx0 @ Xz ) ) ) )
=> ( ! [Xx: b > a,Xy: b > a] :
( ! [Xx0: b] :
( ( Xs @ Xx0 )
=> ( Xp @ Xx0 @ ( Xx @ Xx0 ) @ ( Xy @ Xx0 ) ) )
=> ! [Xx0: b] :
( ( Xs @ Xx0 )
=> ( Xp @ Xx0 @ ( Xy @ Xx0 ) @ ( Xx @ Xx0 ) ) ) )
& ! [Xx: b > a,Xy: b > a,Xz: b > a] :
( ( ! [Xx0: b] :
( ( Xs @ Xx0 )
=> ( Xp @ Xx0 @ ( Xx @ Xx0 ) @ ( Xy @ Xx0 ) ) )
& ! [Xx0: b] :
( ( Xs @ Xx0 )
=> ( Xp @ Xx0 @ ( Xy @ Xx0 ) @ ( Xz @ Xx0 ) ) ) )
=> ! [Xx0: b] :
( ( Xs @ Xx0 )
=> ( Xp @ Xx0 @ ( Xx @ Xx0 ) @ ( Xz @ Xx0 ) ) ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ! [Xs: b > $o,Xp: b > a > a > $o] :
( ! [Xx: b] :
( ( Xs @ Xx )
=> ( ! [Xx0: a,Xy: a] :
( ( Xp @ Xx @ Xx0 @ Xy )
=> ( Xp @ Xx @ Xy @ Xx0 ) )
& ! [Xx0: a,Xy: a,Xz: a] :
( ( ( Xp @ Xx @ Xx0 @ Xy )
& ( Xp @ Xx @ Xy @ Xz ) )
=> ( Xp @ Xx @ Xx0 @ Xz ) ) ) )
=> ( ! [Xx: b > a,Xy: b > a] :
( ! [Xx0: b] :
( ( Xs @ Xx0 )
=> ( Xp @ Xx0 @ ( Xx @ Xx0 ) @ ( Xy @ Xx0 ) ) )
=> ! [Xx0: b] :
( ( Xs @ Xx0 )
=> ( Xp @ Xx0 @ ( Xy @ Xx0 ) @ ( Xx @ Xx0 ) ) ) )
& ! [Xx: b > a,Xy: b > a,Xz: b > a] :
( ( ! [Xx0: b] :
( ( Xs @ Xx0 )
=> ( Xp @ Xx0 @ ( Xx @ Xx0 ) @ ( Xy @ Xx0 ) ) )
& ! [Xx0: b] :
( ( Xs @ Xx0 )
=> ( Xp @ Xx0 @ ( Xy @ Xx0 ) @ ( Xz @ Xx0 ) ) ) )
=> ! [Xx0: b] :
( ( Xs @ Xx0 )
=> ( Xp @ Xx0 @ ( Xx @ Xx0 ) @ ( Xz @ Xx0 ) ) ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ! [SY18: b > a > a > $o] :
( ! [SY19: b] :
( ( sK1_Xs @ SY19 )
=> ( ! [Xx0: a,Xy: a] :
( ( SY18 @ SY19 @ Xx0 @ Xy )
=> ( SY18 @ SY19 @ Xy @ Xx0 ) )
& ! [Xx0: a,Xy: a,Xz: a] :
( ( ( SY18 @ SY19 @ Xx0 @ Xy )
& ( SY18 @ SY19 @ Xy @ Xz ) )
=> ( SY18 @ SY19 @ Xx0 @ Xz ) ) ) )
=> ( ! [SY25: b > a,SY26: b > a] :
( ! [SY27: b] :
( ( sK1_Xs @ SY27 )
=> ( SY18 @ SY27 @ ( SY25 @ SY27 ) @ ( SY26 @ SY27 ) ) )
=> ! [SY28: b] :
( ( sK1_Xs @ SY28 )
=> ( SY18 @ SY28 @ ( SY26 @ SY28 ) @ ( SY25 @ SY28 ) ) ) )
& ! [SY29: b > a,SY30: b > a,SY31: b > a] :
( ( ! [SY32: b] :
( ( sK1_Xs @ SY32 )
=> ( SY18 @ SY32 @ ( SY29 @ SY32 ) @ ( SY30 @ SY32 ) ) )
& ! [SY33: b] :
( ( sK1_Xs @ SY33 )
=> ( SY18 @ SY33 @ ( SY30 @ SY33 ) @ ( SY31 @ SY33 ) ) ) )
=> ! [SY34: b] :
( ( sK1_Xs @ SY34 )
=> ( SY18 @ SY34 @ ( SY29 @ SY34 ) @ ( SY31 @ SY34 ) ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[3]) ).
thf(5,plain,
( ( ! [SY35: b] :
( ( sK1_Xs @ SY35 )
=> ( ! [SY36: a,SY37: a] :
( ( sK2_SY18 @ SY35 @ SY36 @ SY37 )
=> ( sK2_SY18 @ SY35 @ SY37 @ SY36 ) )
& ! [SY38: a,SY39: a,SY40: a] :
( ( ( sK2_SY18 @ SY35 @ SY38 @ SY39 )
& ( sK2_SY18 @ SY35 @ SY39 @ SY40 ) )
=> ( sK2_SY18 @ SY35 @ SY38 @ SY40 ) ) ) )
=> ( ! [SY41: b > a,SY42: b > a] :
( ! [SY43: b] :
( ( sK1_Xs @ SY43 )
=> ( sK2_SY18 @ SY43 @ ( SY41 @ SY43 ) @ ( SY42 @ SY43 ) ) )
=> ! [SY44: b] :
( ( sK1_Xs @ SY44 )
=> ( sK2_SY18 @ SY44 @ ( SY42 @ SY44 ) @ ( SY41 @ SY44 ) ) ) )
& ! [SY45: b > a,SY46: b > a,SY47: b > a] :
( ( ! [SY48: b] :
( ( sK1_Xs @ SY48 )
=> ( sK2_SY18 @ SY48 @ ( SY45 @ SY48 ) @ ( SY46 @ SY48 ) ) )
& ! [SY49: b] :
( ( sK1_Xs @ SY49 )
=> ( sK2_SY18 @ SY49 @ ( SY46 @ SY49 ) @ ( SY47 @ SY49 ) ) ) )
=> ! [SY50: b] :
( ( sK1_Xs @ SY50 )
=> ( sK2_SY18 @ SY50 @ ( SY45 @ SY50 ) @ ( SY47 @ SY50 ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[4]) ).
thf(6,plain,
( ( ! [SY35: b] :
( ( sK1_Xs @ SY35 )
=> ( ! [SY36: a,SY37: a] :
( ( sK2_SY18 @ SY35 @ SY36 @ SY37 )
=> ( sK2_SY18 @ SY35 @ SY37 @ SY36 ) )
& ! [SY38: a,SY39: a,SY40: a] :
( ( ( sK2_SY18 @ SY35 @ SY38 @ SY39 )
& ( sK2_SY18 @ SY35 @ SY39 @ SY40 ) )
=> ( sK2_SY18 @ SY35 @ SY38 @ SY40 ) ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[5]) ).
thf(7,plain,
( ( ! [SY41: b > a,SY42: b > a] :
( ! [SY43: b] :
( ( sK1_Xs @ SY43 )
=> ( sK2_SY18 @ SY43 @ ( SY41 @ SY43 ) @ ( SY42 @ SY43 ) ) )
=> ! [SY44: b] :
( ( sK1_Xs @ SY44 )
=> ( sK2_SY18 @ SY44 @ ( SY42 @ SY44 ) @ ( SY41 @ SY44 ) ) ) )
& ! [SY45: b > a,SY46: b > a,SY47: b > a] :
( ( ! [SY48: b] :
( ( sK1_Xs @ SY48 )
=> ( sK2_SY18 @ SY48 @ ( SY45 @ SY48 ) @ ( SY46 @ SY48 ) ) )
& ! [SY49: b] :
( ( sK1_Xs @ SY49 )
=> ( sK2_SY18 @ SY49 @ ( SY46 @ SY49 ) @ ( SY47 @ SY49 ) ) ) )
=> ! [SY50: b] :
( ( sK1_Xs @ SY50 )
=> ( sK2_SY18 @ SY50 @ ( SY45 @ SY50 ) @ ( SY47 @ SY50 ) ) ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[5]) ).
thf(8,plain,
( ( ! [SY41: b > a,SY42: b > a] :
( ! [SY43: b] :
( ( sK1_Xs @ SY43 )
=> ( sK2_SY18 @ SY43 @ ( SY41 @ SY43 ) @ ( SY42 @ SY43 ) ) )
=> ! [SY44: b] :
( ( sK1_Xs @ SY44 )
=> ( sK2_SY18 @ SY44 @ ( SY42 @ SY44 ) @ ( SY41 @ SY44 ) ) ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[7]) ).
thf(9,plain,
( ( ! [SY45: b > a,SY46: b > a,SY47: b > a] :
( ( ! [SY48: b] :
( ( sK1_Xs @ SY48 )
=> ( sK2_SY18 @ SY48 @ ( SY45 @ SY48 ) @ ( SY46 @ SY48 ) ) )
& ! [SY49: b] :
( ( sK1_Xs @ SY49 )
=> ( sK2_SY18 @ SY49 @ ( SY46 @ SY49 ) @ ( SY47 @ SY49 ) ) ) )
=> ! [SY50: b] :
( ( sK1_Xs @ SY50 )
=> ( sK2_SY18 @ SY50 @ ( SY45 @ SY50 ) @ ( SY47 @ SY50 ) ) ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[7]) ).
thf(10,plain,
( ( ~ ! [SY41: b > a,SY42: b > a] :
( ! [SY43: b] :
( ( sK1_Xs @ SY43 )
=> ( sK2_SY18 @ SY43 @ ( SY41 @ SY43 ) @ ( SY42 @ SY43 ) ) )
=> ! [SY44: b] :
( ( sK1_Xs @ SY44 )
=> ( sK2_SY18 @ SY44 @ ( SY42 @ SY44 ) @ ( SY41 @ SY44 ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[8]) ).
thf(11,plain,
( ( ~ ! [SY45: b > a,SY46: b > a,SY47: b > a] :
( ( ! [SY48: b] :
( ( sK1_Xs @ SY48 )
=> ( sK2_SY18 @ SY48 @ ( SY45 @ SY48 ) @ ( SY46 @ SY48 ) ) )
& ! [SY49: b] :
( ( sK1_Xs @ SY49 )
=> ( sK2_SY18 @ SY49 @ ( SY46 @ SY49 ) @ ( SY47 @ SY49 ) ) ) )
=> ! [SY50: b] :
( ( sK1_Xs @ SY50 )
=> ( sK2_SY18 @ SY50 @ ( SY45 @ SY50 ) @ ( SY47 @ SY50 ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[9]) ).
thf(12,plain,
( ( ! [SY54: b] :
( ~ ( sK1_Xs @ SY54 )
| ( sK2_SY18 @ SY54 @ ( sK3_SY41 @ SY54 ) @ ( sK4_SY51 @ SY54 ) ) )
& ( sK1_Xs @ sK5_SY55 )
& ~ ( sK2_SY18 @ sK5_SY55 @ ( sK4_SY51 @ sK5_SY55 ) @ ( sK3_SY41 @ sK5_SY55 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[10]) ).
thf(13,plain,
( ( ! [SY62: b] :
( ~ ( sK1_Xs @ SY62 )
| ( sK2_SY18 @ SY62 @ ( sK6_SY45 @ SY62 ) @ ( sK7_SY56 @ SY62 ) ) )
& ! [SY66: b] :
( ~ ( sK1_Xs @ SY66 )
| ( sK2_SY18 @ SY66 @ ( sK7_SY56 @ SY66 ) @ ( sK8_SY61 @ SY66 ) ) )
& ( sK1_Xs @ sK9_SY67 )
& ~ ( sK2_SY18 @ sK9_SY67 @ ( sK6_SY45 @ sK9_SY67 ) @ ( sK8_SY61 @ sK9_SY67 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[11]) ).
thf(14,plain,
( ( ! [SY35: b] :
( ~ ( sK1_Xs @ SY35 )
| ! [SY36: a,SY37: a] :
( ~ ( sK2_SY18 @ SY35 @ SY36 @ SY37 )
| ( sK2_SY18 @ SY35 @ SY37 @ SY36 ) ) )
& ! [SY35: b] :
( ~ ( sK1_Xs @ SY35 )
| ! [SY38: a,SY39: a,SY40: a] :
( ~ ( sK2_SY18 @ SY35 @ SY38 @ SY39 )
| ~ ( sK2_SY18 @ SY35 @ SY39 @ SY40 )
| ( sK2_SY18 @ SY35 @ SY38 @ SY40 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[6]) ).
thf(15,plain,
( ( ! [SY35: b] :
( ~ ( sK1_Xs @ SY35 )
| ! [SY36: a,SY37: a] :
( ~ ( sK2_SY18 @ SY35 @ SY36 @ SY37 )
| ( sK2_SY18 @ SY35 @ SY37 @ SY36 ) ) )
& ! [SY35: b] :
( ~ ( sK1_Xs @ SY35 )
| ! [SY38: a,SY39: a,SY40: a] :
( ~ ( sK2_SY18 @ SY35 @ SY38 @ SY39 )
| ~ ( sK2_SY18 @ SY35 @ SY39 @ SY40 )
| ( sK2_SY18 @ SY35 @ SY38 @ SY40 ) ) ) )
= $true ),
inference(copy,[status(thm)],[14]) ).
thf(16,plain,
( ( ! [SY54: b] :
( ~ ( sK1_Xs @ SY54 )
| ( sK2_SY18 @ SY54 @ ( sK3_SY41 @ SY54 ) @ ( sK4_SY51 @ SY54 ) ) )
& ( sK1_Xs @ sK5_SY55 )
& ~ ( sK2_SY18 @ sK5_SY55 @ ( sK4_SY51 @ sK5_SY55 ) @ ( sK3_SY41 @ sK5_SY55 ) ) )
= $true ),
inference(copy,[status(thm)],[12]) ).
thf(17,plain,
( ( ~ ( ~ ! [SX0: b] :
( ~ ( sK1_Xs @ SX0 )
| ( sK2_SY18 @ SX0 @ ( sK3_SY41 @ SX0 ) @ ( sK4_SY51 @ SX0 ) ) )
| ~ ~ ( ~ ( sK1_Xs @ sK5_SY55 )
| ~ ~ ( sK2_SY18 @ sK5_SY55 @ ( sK4_SY51 @ sK5_SY55 ) @ ( sK3_SY41 @ sK5_SY55 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(18,plain,
( ( ~ ( ~ ! [SX0: b] :
( ~ ( sK1_Xs @ SX0 )
| ! [SX1: a,SX2: a] :
( ~ ( sK2_SY18 @ SX0 @ SX1 @ SX2 )
| ( sK2_SY18 @ SX0 @ SX2 @ SX1 ) ) )
| ~ ! [SX0: b] :
( ~ ( sK1_Xs @ SX0 )
| ! [SX1: a,SX2: a,SX3: a] :
( ~ ( sK2_SY18 @ SX0 @ SX1 @ SX2 )
| ~ ( sK2_SY18 @ SX0 @ SX2 @ SX3 )
| ( sK2_SY18 @ SX0 @ SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(19,plain,
( ( ~ ! [SX0: b] :
( ~ ( sK1_Xs @ SX0 )
| ( sK2_SY18 @ SX0 @ ( sK3_SY41 @ SX0 ) @ ( sK4_SY51 @ SX0 ) ) )
| ~ ~ ( ~ ( sK1_Xs @ sK5_SY55 )
| ~ ~ ( sK2_SY18 @ sK5_SY55 @ ( sK4_SY51 @ sK5_SY55 ) @ ( sK3_SY41 @ sK5_SY55 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[17]) ).
thf(20,plain,
( ( ~ ! [SX0: b] :
( ~ ( sK1_Xs @ SX0 )
| ! [SX1: a,SX2: a] :
( ~ ( sK2_SY18 @ SX0 @ SX1 @ SX2 )
| ( sK2_SY18 @ SX0 @ SX2 @ SX1 ) ) )
| ~ ! [SX0: b] :
( ~ ( sK1_Xs @ SX0 )
| ! [SX1: a,SX2: a,SX3: a] :
( ~ ( sK2_SY18 @ SX0 @ SX1 @ SX2 )
| ~ ( sK2_SY18 @ SX0 @ SX2 @ SX3 )
| ( sK2_SY18 @ SX0 @ SX1 @ SX3 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[18]) ).
thf(21,plain,
( ( ~ ! [SX0: b] :
( ~ ( sK1_Xs @ SX0 )
| ( sK2_SY18 @ SX0 @ ( sK3_SY41 @ SX0 ) @ ( sK4_SY51 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[19]) ).
thf(22,plain,
( ( ~ ~ ( ~ ( sK1_Xs @ sK5_SY55 )
| ~ ~ ( sK2_SY18 @ sK5_SY55 @ ( sK4_SY51 @ sK5_SY55 ) @ ( sK3_SY41 @ sK5_SY55 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[19]) ).
thf(23,plain,
( ( ~ ! [SX0: b] :
( ~ ( sK1_Xs @ SX0 )
| ! [SX1: a,SX2: a] :
( ~ ( sK2_SY18 @ SX0 @ SX1 @ SX2 )
| ( sK2_SY18 @ SX0 @ SX2 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[20]) ).
thf(24,plain,
( ( ~ ! [SX0: b] :
( ~ ( sK1_Xs @ SX0 )
| ! [SX1: a,SX2: a,SX3: a] :
( ~ ( sK2_SY18 @ SX0 @ SX1 @ SX2 )
| ~ ( sK2_SY18 @ SX0 @ SX2 @ SX3 )
| ( sK2_SY18 @ SX0 @ SX1 @ SX3 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[20]) ).
thf(25,plain,
( ( ! [SX0: b] :
( ~ ( sK1_Xs @ SX0 )
| ( sK2_SY18 @ SX0 @ ( sK3_SY41 @ SX0 ) @ ( sK4_SY51 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[21]) ).
thf(26,plain,
( ( ~ ( ~ ( sK1_Xs @ sK5_SY55 )
| ~ ~ ( sK2_SY18 @ sK5_SY55 @ ( sK4_SY51 @ sK5_SY55 ) @ ( sK3_SY41 @ sK5_SY55 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[22]) ).
thf(27,plain,
( ( ! [SX0: b] :
( ~ ( sK1_Xs @ SX0 )
| ! [SX1: a,SX2: a] :
( ~ ( sK2_SY18 @ SX0 @ SX1 @ SX2 )
| ( sK2_SY18 @ SX0 @ SX2 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[23]) ).
thf(28,plain,
( ( ! [SX0: b] :
( ~ ( sK1_Xs @ SX0 )
| ! [SX1: a,SX2: a,SX3: a] :
( ~ ( sK2_SY18 @ SX0 @ SX1 @ SX2 )
| ~ ( sK2_SY18 @ SX0 @ SX2 @ SX3 )
| ( sK2_SY18 @ SX0 @ SX1 @ SX3 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[24]) ).
thf(29,plain,
! [SV1: b] :
( ( ~ ( sK1_Xs @ SV1 )
| ( sK2_SY18 @ SV1 @ ( sK3_SY41 @ SV1 ) @ ( sK4_SY51 @ SV1 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[25]) ).
thf(30,plain,
( ( ~ ( sK1_Xs @ sK5_SY55 )
| ~ ~ ( sK2_SY18 @ sK5_SY55 @ ( sK4_SY51 @ sK5_SY55 ) @ ( sK3_SY41 @ sK5_SY55 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[26]) ).
thf(31,plain,
! [SV2: b] :
( ( ~ ( sK1_Xs @ SV2 )
| ! [SY68: a,SY69: a] :
( ~ ( sK2_SY18 @ SV2 @ SY68 @ SY69 )
| ( sK2_SY18 @ SV2 @ SY69 @ SY68 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[27]) ).
thf(32,plain,
! [SV3: b] :
( ( ~ ( sK1_Xs @ SV3 )
| ! [SY70: a,SY71: a,SY72: a] :
( ~ ( sK2_SY18 @ SV3 @ SY70 @ SY71 )
| ~ ( sK2_SY18 @ SV3 @ SY71 @ SY72 )
| ( sK2_SY18 @ SV3 @ SY70 @ SY72 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[28]) ).
thf(33,plain,
! [SV1: b] :
( ( ( ~ ( sK1_Xs @ SV1 ) )
= $true )
| ( ( sK2_SY18 @ SV1 @ ( sK3_SY41 @ SV1 ) @ ( sK4_SY51 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[29]) ).
thf(34,plain,
( ( ~ ( sK1_Xs @ sK5_SY55 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[30]) ).
thf(35,plain,
( ( ~ ~ ( sK2_SY18 @ sK5_SY55 @ ( sK4_SY51 @ sK5_SY55 ) @ ( sK3_SY41 @ sK5_SY55 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[30]) ).
thf(36,plain,
! [SV2: b] :
( ( ( ~ ( sK1_Xs @ SV2 ) )
= $true )
| ( ( ! [SY68: a,SY69: a] :
( ~ ( sK2_SY18 @ SV2 @ SY68 @ SY69 )
| ( sK2_SY18 @ SV2 @ SY69 @ SY68 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[31]) ).
thf(37,plain,
! [SV3: b] :
( ( ( ~ ( sK1_Xs @ SV3 ) )
= $true )
| ( ( ! [SY70: a,SY71: a,SY72: a] :
( ~ ( sK2_SY18 @ SV3 @ SY70 @ SY71 )
| ~ ( sK2_SY18 @ SV3 @ SY71 @ SY72 )
| ( sK2_SY18 @ SV3 @ SY70 @ SY72 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[32]) ).
thf(38,plain,
! [SV1: b] :
( ( ( sK1_Xs @ SV1 )
= $false )
| ( ( sK2_SY18 @ SV1 @ ( sK3_SY41 @ SV1 ) @ ( sK4_SY51 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[33]) ).
thf(39,plain,
( ( sK1_Xs @ sK5_SY55 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[34]) ).
thf(40,plain,
( ( ~ ( sK2_SY18 @ sK5_SY55 @ ( sK4_SY51 @ sK5_SY55 ) @ ( sK3_SY41 @ sK5_SY55 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[35]) ).
thf(41,plain,
! [SV2: b] :
( ( ( sK1_Xs @ SV2 )
= $false )
| ( ( ! [SY68: a,SY69: a] :
( ~ ( sK2_SY18 @ SV2 @ SY68 @ SY69 )
| ( sK2_SY18 @ SV2 @ SY69 @ SY68 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[36]) ).
thf(42,plain,
! [SV3: b] :
( ( ( sK1_Xs @ SV3 )
= $false )
| ( ( ! [SY70: a,SY71: a,SY72: a] :
( ~ ( sK2_SY18 @ SV3 @ SY70 @ SY71 )
| ~ ( sK2_SY18 @ SV3 @ SY71 @ SY72 )
| ( sK2_SY18 @ SV3 @ SY70 @ SY72 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[37]) ).
thf(43,plain,
( ( sK2_SY18 @ sK5_SY55 @ ( sK4_SY51 @ sK5_SY55 ) @ ( sK3_SY41 @ sK5_SY55 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[40]) ).
thf(44,plain,
! [SV4: a,SV2: b] :
( ( ( ! [SY73: a] :
( ~ ( sK2_SY18 @ SV2 @ SV4 @ SY73 )
| ( sK2_SY18 @ SV2 @ SY73 @ SV4 ) ) )
= $true )
| ( ( sK1_Xs @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[41]) ).
thf(45,plain,
! [SV5: a,SV3: b] :
( ( ( ! [SY74: a,SY75: a] :
( ~ ( sK2_SY18 @ SV3 @ SV5 @ SY74 )
| ~ ( sK2_SY18 @ SV3 @ SY74 @ SY75 )
| ( sK2_SY18 @ SV3 @ SV5 @ SY75 ) ) )
= $true )
| ( ( sK1_Xs @ SV3 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[42]) ).
thf(46,plain,
! [SV6: a,SV4: a,SV2: b] :
( ( ( ~ ( sK2_SY18 @ SV2 @ SV4 @ SV6 )
| ( sK2_SY18 @ SV2 @ SV6 @ SV4 ) )
= $true )
| ( ( sK1_Xs @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[44]) ).
thf(47,plain,
! [SV7: a,SV5: a,SV3: b] :
( ( ( ! [SY76: a] :
( ~ ( sK2_SY18 @ SV3 @ SV5 @ SV7 )
| ~ ( sK2_SY18 @ SV3 @ SV7 @ SY76 )
| ( sK2_SY18 @ SV3 @ SV5 @ SY76 ) ) )
= $true )
| ( ( sK1_Xs @ SV3 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[45]) ).
thf(48,plain,
! [SV6: a,SV4: a,SV2: b] :
( ( ( ~ ( sK2_SY18 @ SV2 @ SV4 @ SV6 ) )
= $true )
| ( ( sK2_SY18 @ SV2 @ SV6 @ SV4 )
= $true )
| ( ( sK1_Xs @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[46]) ).
thf(49,plain,
! [SV8: a,SV7: a,SV5: a,SV3: b] :
( ( ( ~ ( sK2_SY18 @ SV3 @ SV5 @ SV7 )
| ~ ( sK2_SY18 @ SV3 @ SV7 @ SV8 )
| ( sK2_SY18 @ SV3 @ SV5 @ SV8 ) )
= $true )
| ( ( sK1_Xs @ SV3 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[47]) ).
thf(50,plain,
! [SV6: a,SV4: a,SV2: b] :
( ( ( sK2_SY18 @ SV2 @ SV4 @ SV6 )
= $false )
| ( ( sK2_SY18 @ SV2 @ SV6 @ SV4 )
= $true )
| ( ( sK1_Xs @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[48]) ).
thf(51,plain,
! [SV8: a,SV7: a,SV5: a,SV3: b] :
( ( ( ~ ( sK2_SY18 @ SV3 @ SV5 @ SV7 )
| ~ ( sK2_SY18 @ SV3 @ SV7 @ SV8 ) )
= $true )
| ( ( sK2_SY18 @ SV3 @ SV5 @ SV8 )
= $true )
| ( ( sK1_Xs @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[49]) ).
thf(52,plain,
! [SV8: a,SV7: a,SV5: a,SV3: b] :
( ( ( ~ ( sK2_SY18 @ SV3 @ SV5 @ SV7 ) )
= $true )
| ( ( ~ ( sK2_SY18 @ SV3 @ SV7 @ SV8 ) )
= $true )
| ( ( sK2_SY18 @ SV3 @ SV5 @ SV8 )
= $true )
| ( ( sK1_Xs @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[51]) ).
thf(53,plain,
! [SV8: a,SV7: a,SV5: a,SV3: b] :
( ( ( sK2_SY18 @ SV3 @ SV5 @ SV7 )
= $false )
| ( ( ~ ( sK2_SY18 @ SV3 @ SV7 @ SV8 ) )
= $true )
| ( ( sK2_SY18 @ SV3 @ SV5 @ SV8 )
= $true )
| ( ( sK1_Xs @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[52]) ).
thf(54,plain,
! [SV5: a,SV8: a,SV7: a,SV3: b] :
( ( ( sK2_SY18 @ SV3 @ SV7 @ SV8 )
= $false )
| ( ( sK2_SY18 @ SV3 @ SV5 @ SV7 )
= $false )
| ( ( sK2_SY18 @ SV3 @ SV5 @ SV8 )
= $true )
| ( ( sK1_Xs @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[53]) ).
thf(55,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[38,54,50,43,39]) ).
thf(56,plain,
( ( ! [SY35: b] :
( ~ ( sK1_Xs @ SY35 )
| ! [SY36: a,SY37: a] :
( ~ ( sK2_SY18 @ SY35 @ SY36 @ SY37 )
| ( sK2_SY18 @ SY35 @ SY37 @ SY36 ) ) )
& ! [SY35: b] :
( ~ ( sK1_Xs @ SY35 )
| ! [SY38: a,SY39: a,SY40: a] :
( ~ ( sK2_SY18 @ SY35 @ SY38 @ SY39 )
| ~ ( sK2_SY18 @ SY35 @ SY39 @ SY40 )
| ( sK2_SY18 @ SY35 @ SY38 @ SY40 ) ) ) )
= $true ),
inference(copy,[status(thm)],[14]) ).
thf(57,plain,
( ( ! [SY62: b] :
( ~ ( sK1_Xs @ SY62 )
| ( sK2_SY18 @ SY62 @ ( sK6_SY45 @ SY62 ) @ ( sK7_SY56 @ SY62 ) ) )
& ! [SY66: b] :
( ~ ( sK1_Xs @ SY66 )
| ( sK2_SY18 @ SY66 @ ( sK7_SY56 @ SY66 ) @ ( sK8_SY61 @ SY66 ) ) )
& ( sK1_Xs @ sK9_SY67 )
& ~ ( sK2_SY18 @ sK9_SY67 @ ( sK6_SY45 @ sK9_SY67 ) @ ( sK8_SY61 @ sK9_SY67 ) ) )
= $true ),
inference(copy,[status(thm)],[13]) ).
thf(58,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: b] :
( ~ ( sK1_Xs @ SX0 )
| ( sK2_SY18 @ SX0 @ ( sK6_SY45 @ SX0 ) @ ( sK7_SY56 @ SX0 ) ) )
| ~ ! [SX0: b] :
( ~ ( sK1_Xs @ SX0 )
| ( sK2_SY18 @ SX0 @ ( sK7_SY56 @ SX0 ) @ ( sK8_SY61 @ SX0 ) ) ) )
| ~ ~ ( ~ ( sK1_Xs @ sK9_SY67 )
| ~ ~ ( sK2_SY18 @ sK9_SY67 @ ( sK6_SY45 @ sK9_SY67 ) @ ( sK8_SY61 @ sK9_SY67 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[57]) ).
thf(59,plain,
( ( ~ ( ~ ! [SX0: b] :
( ~ ( sK1_Xs @ SX0 )
| ! [SX1: a,SX2: a] :
( ~ ( sK2_SY18 @ SX0 @ SX1 @ SX2 )
| ( sK2_SY18 @ SX0 @ SX2 @ SX1 ) ) )
| ~ ! [SX0: b] :
( ~ ( sK1_Xs @ SX0 )
| ! [SX1: a,SX2: a,SX3: a] :
( ~ ( sK2_SY18 @ SX0 @ SX1 @ SX2 )
| ~ ( sK2_SY18 @ SX0 @ SX2 @ SX3 )
| ( sK2_SY18 @ SX0 @ SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[56]) ).
thf(60,plain,
( ( ~ ~ ( ~ ! [SX0: b] :
( ~ ( sK1_Xs @ SX0 )
| ( sK2_SY18 @ SX0 @ ( sK6_SY45 @ SX0 ) @ ( sK7_SY56 @ SX0 ) ) )
| ~ ! [SX0: b] :
( ~ ( sK1_Xs @ SX0 )
| ( sK2_SY18 @ SX0 @ ( sK7_SY56 @ SX0 ) @ ( sK8_SY61 @ SX0 ) ) ) )
| ~ ~ ( ~ ( sK1_Xs @ sK9_SY67 )
| ~ ~ ( sK2_SY18 @ sK9_SY67 @ ( sK6_SY45 @ sK9_SY67 ) @ ( sK8_SY61 @ sK9_SY67 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[58]) ).
thf(61,plain,
( ( ~ ! [SX0: b] :
( ~ ( sK1_Xs @ SX0 )
| ! [SX1: a,SX2: a] :
( ~ ( sK2_SY18 @ SX0 @ SX1 @ SX2 )
| ( sK2_SY18 @ SX0 @ SX2 @ SX1 ) ) )
| ~ ! [SX0: b] :
( ~ ( sK1_Xs @ SX0 )
| ! [SX1: a,SX2: a,SX3: a] :
( ~ ( sK2_SY18 @ SX0 @ SX1 @ SX2 )
| ~ ( sK2_SY18 @ SX0 @ SX2 @ SX3 )
| ( sK2_SY18 @ SX0 @ SX1 @ SX3 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[59]) ).
thf(62,plain,
( ( ~ ~ ( ~ ! [SX0: b] :
( ~ ( sK1_Xs @ SX0 )
| ( sK2_SY18 @ SX0 @ ( sK6_SY45 @ SX0 ) @ ( sK7_SY56 @ SX0 ) ) )
| ~ ! [SX0: b] :
( ~ ( sK1_Xs @ SX0 )
| ( sK2_SY18 @ SX0 @ ( sK7_SY56 @ SX0 ) @ ( sK8_SY61 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[60]) ).
thf(63,plain,
( ( ~ ~ ( ~ ( sK1_Xs @ sK9_SY67 )
| ~ ~ ( sK2_SY18 @ sK9_SY67 @ ( sK6_SY45 @ sK9_SY67 ) @ ( sK8_SY61 @ sK9_SY67 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[60]) ).
thf(64,plain,
( ( ~ ! [SX0: b] :
( ~ ( sK1_Xs @ SX0 )
| ! [SX1: a,SX2: a] :
( ~ ( sK2_SY18 @ SX0 @ SX1 @ SX2 )
| ( sK2_SY18 @ SX0 @ SX2 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[61]) ).
thf(65,plain,
( ( ~ ! [SX0: b] :
( ~ ( sK1_Xs @ SX0 )
| ! [SX1: a,SX2: a,SX3: a] :
( ~ ( sK2_SY18 @ SX0 @ SX1 @ SX2 )
| ~ ( sK2_SY18 @ SX0 @ SX2 @ SX3 )
| ( sK2_SY18 @ SX0 @ SX1 @ SX3 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[61]) ).
thf(66,plain,
( ( ~ ( ~ ! [SX0: b] :
( ~ ( sK1_Xs @ SX0 )
| ( sK2_SY18 @ SX0 @ ( sK6_SY45 @ SX0 ) @ ( sK7_SY56 @ SX0 ) ) )
| ~ ! [SX0: b] :
( ~ ( sK1_Xs @ SX0 )
| ( sK2_SY18 @ SX0 @ ( sK7_SY56 @ SX0 ) @ ( sK8_SY61 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[62]) ).
thf(67,plain,
( ( ~ ( ~ ( sK1_Xs @ sK9_SY67 )
| ~ ~ ( sK2_SY18 @ sK9_SY67 @ ( sK6_SY45 @ sK9_SY67 ) @ ( sK8_SY61 @ sK9_SY67 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[63]) ).
thf(68,plain,
( ( ! [SX0: b] :
( ~ ( sK1_Xs @ SX0 )
| ! [SX1: a,SX2: a] :
( ~ ( sK2_SY18 @ SX0 @ SX1 @ SX2 )
| ( sK2_SY18 @ SX0 @ SX2 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[64]) ).
thf(69,plain,
( ( ! [SX0: b] :
( ~ ( sK1_Xs @ SX0 )
| ! [SX1: a,SX2: a,SX3: a] :
( ~ ( sK2_SY18 @ SX0 @ SX1 @ SX2 )
| ~ ( sK2_SY18 @ SX0 @ SX2 @ SX3 )
| ( sK2_SY18 @ SX0 @ SX1 @ SX3 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[65]) ).
thf(70,plain,
( ( ~ ! [SX0: b] :
( ~ ( sK1_Xs @ SX0 )
| ( sK2_SY18 @ SX0 @ ( sK6_SY45 @ SX0 ) @ ( sK7_SY56 @ SX0 ) ) )
| ~ ! [SX0: b] :
( ~ ( sK1_Xs @ SX0 )
| ( sK2_SY18 @ SX0 @ ( sK7_SY56 @ SX0 ) @ ( sK8_SY61 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[66]) ).
thf(71,plain,
( ( ~ ( sK1_Xs @ sK9_SY67 )
| ~ ~ ( sK2_SY18 @ sK9_SY67 @ ( sK6_SY45 @ sK9_SY67 ) @ ( sK8_SY61 @ sK9_SY67 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[67]) ).
thf(72,plain,
! [SV9: b] :
( ( ~ ( sK1_Xs @ SV9 )
| ! [SY77: a,SY78: a] :
( ~ ( sK2_SY18 @ SV9 @ SY77 @ SY78 )
| ( sK2_SY18 @ SV9 @ SY78 @ SY77 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[68]) ).
thf(73,plain,
! [SV10: b] :
( ( ~ ( sK1_Xs @ SV10 )
| ! [SY79: a,SY80: a,SY81: a] :
( ~ ( sK2_SY18 @ SV10 @ SY79 @ SY80 )
| ~ ( sK2_SY18 @ SV10 @ SY80 @ SY81 )
| ( sK2_SY18 @ SV10 @ SY79 @ SY81 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[69]) ).
thf(74,plain,
( ( ~ ! [SX0: b] :
( ~ ( sK1_Xs @ SX0 )
| ( sK2_SY18 @ SX0 @ ( sK6_SY45 @ SX0 ) @ ( sK7_SY56 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[70]) ).
thf(75,plain,
( ( ~ ! [SX0: b] :
( ~ ( sK1_Xs @ SX0 )
| ( sK2_SY18 @ SX0 @ ( sK7_SY56 @ SX0 ) @ ( sK8_SY61 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[70]) ).
thf(76,plain,
( ( ~ ( sK1_Xs @ sK9_SY67 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[71]) ).
thf(77,plain,
( ( ~ ~ ( sK2_SY18 @ sK9_SY67 @ ( sK6_SY45 @ sK9_SY67 ) @ ( sK8_SY61 @ sK9_SY67 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[71]) ).
thf(78,plain,
! [SV9: b] :
( ( ( ~ ( sK1_Xs @ SV9 ) )
= $true )
| ( ( ! [SY77: a,SY78: a] :
( ~ ( sK2_SY18 @ SV9 @ SY77 @ SY78 )
| ( sK2_SY18 @ SV9 @ SY78 @ SY77 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[72]) ).
thf(79,plain,
! [SV10: b] :
( ( ( ~ ( sK1_Xs @ SV10 ) )
= $true )
| ( ( ! [SY79: a,SY80: a,SY81: a] :
( ~ ( sK2_SY18 @ SV10 @ SY79 @ SY80 )
| ~ ( sK2_SY18 @ SV10 @ SY80 @ SY81 )
| ( sK2_SY18 @ SV10 @ SY79 @ SY81 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[73]) ).
thf(80,plain,
( ( ! [SX0: b] :
( ~ ( sK1_Xs @ SX0 )
| ( sK2_SY18 @ SX0 @ ( sK6_SY45 @ SX0 ) @ ( sK7_SY56 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[74]) ).
thf(81,plain,
( ( ! [SX0: b] :
( ~ ( sK1_Xs @ SX0 )
| ( sK2_SY18 @ SX0 @ ( sK7_SY56 @ SX0 ) @ ( sK8_SY61 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[75]) ).
thf(82,plain,
( ( sK1_Xs @ sK9_SY67 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[76]) ).
thf(83,plain,
( ( ~ ( sK2_SY18 @ sK9_SY67 @ ( sK6_SY45 @ sK9_SY67 ) @ ( sK8_SY61 @ sK9_SY67 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[77]) ).
thf(84,plain,
! [SV9: b] :
( ( ( sK1_Xs @ SV9 )
= $false )
| ( ( ! [SY77: a,SY78: a] :
( ~ ( sK2_SY18 @ SV9 @ SY77 @ SY78 )
| ( sK2_SY18 @ SV9 @ SY78 @ SY77 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[78]) ).
thf(85,plain,
! [SV10: b] :
( ( ( sK1_Xs @ SV10 )
= $false )
| ( ( ! [SY79: a,SY80: a,SY81: a] :
( ~ ( sK2_SY18 @ SV10 @ SY79 @ SY80 )
| ~ ( sK2_SY18 @ SV10 @ SY80 @ SY81 )
| ( sK2_SY18 @ SV10 @ SY79 @ SY81 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[79]) ).
thf(86,plain,
! [SV11: b] :
( ( ~ ( sK1_Xs @ SV11 )
| ( sK2_SY18 @ SV11 @ ( sK6_SY45 @ SV11 ) @ ( sK7_SY56 @ SV11 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[80]) ).
thf(87,plain,
! [SV12: b] :
( ( ~ ( sK1_Xs @ SV12 )
| ( sK2_SY18 @ SV12 @ ( sK7_SY56 @ SV12 ) @ ( sK8_SY61 @ SV12 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[81]) ).
thf(88,plain,
( ( sK2_SY18 @ sK9_SY67 @ ( sK6_SY45 @ sK9_SY67 ) @ ( sK8_SY61 @ sK9_SY67 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[83]) ).
thf(89,plain,
! [SV13: a,SV9: b] :
( ( ( ! [SY82: a] :
( ~ ( sK2_SY18 @ SV9 @ SV13 @ SY82 )
| ( sK2_SY18 @ SV9 @ SY82 @ SV13 ) ) )
= $true )
| ( ( sK1_Xs @ SV9 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[84]) ).
thf(90,plain,
! [SV14: a,SV10: b] :
( ( ( ! [SY83: a,SY84: a] :
( ~ ( sK2_SY18 @ SV10 @ SV14 @ SY83 )
| ~ ( sK2_SY18 @ SV10 @ SY83 @ SY84 )
| ( sK2_SY18 @ SV10 @ SV14 @ SY84 ) ) )
= $true )
| ( ( sK1_Xs @ SV10 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[85]) ).
thf(91,plain,
! [SV11: b] :
( ( ( ~ ( sK1_Xs @ SV11 ) )
= $true )
| ( ( sK2_SY18 @ SV11 @ ( sK6_SY45 @ SV11 ) @ ( sK7_SY56 @ SV11 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[86]) ).
thf(92,plain,
! [SV12: b] :
( ( ( ~ ( sK1_Xs @ SV12 ) )
= $true )
| ( ( sK2_SY18 @ SV12 @ ( sK7_SY56 @ SV12 ) @ ( sK8_SY61 @ SV12 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[87]) ).
thf(93,plain,
! [SV15: a,SV13: a,SV9: b] :
( ( ( ~ ( sK2_SY18 @ SV9 @ SV13 @ SV15 )
| ( sK2_SY18 @ SV9 @ SV15 @ SV13 ) )
= $true )
| ( ( sK1_Xs @ SV9 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[89]) ).
thf(94,plain,
! [SV16: a,SV14: a,SV10: b] :
( ( ( ! [SY85: a] :
( ~ ( sK2_SY18 @ SV10 @ SV14 @ SV16 )
| ~ ( sK2_SY18 @ SV10 @ SV16 @ SY85 )
| ( sK2_SY18 @ SV10 @ SV14 @ SY85 ) ) )
= $true )
| ( ( sK1_Xs @ SV10 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[90]) ).
thf(95,plain,
! [SV11: b] :
( ( ( sK1_Xs @ SV11 )
= $false )
| ( ( sK2_SY18 @ SV11 @ ( sK6_SY45 @ SV11 ) @ ( sK7_SY56 @ SV11 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[91]) ).
thf(96,plain,
! [SV12: b] :
( ( ( sK1_Xs @ SV12 )
= $false )
| ( ( sK2_SY18 @ SV12 @ ( sK7_SY56 @ SV12 ) @ ( sK8_SY61 @ SV12 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[92]) ).
thf(97,plain,
! [SV15: a,SV13: a,SV9: b] :
( ( ( ~ ( sK2_SY18 @ SV9 @ SV13 @ SV15 ) )
= $true )
| ( ( sK2_SY18 @ SV9 @ SV15 @ SV13 )
= $true )
| ( ( sK1_Xs @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[93]) ).
thf(98,plain,
! [SV17: a,SV16: a,SV14: a,SV10: b] :
( ( ( ~ ( sK2_SY18 @ SV10 @ SV14 @ SV16 )
| ~ ( sK2_SY18 @ SV10 @ SV16 @ SV17 )
| ( sK2_SY18 @ SV10 @ SV14 @ SV17 ) )
= $true )
| ( ( sK1_Xs @ SV10 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[94]) ).
thf(99,plain,
! [SV15: a,SV13: a,SV9: b] :
( ( ( sK2_SY18 @ SV9 @ SV13 @ SV15 )
= $false )
| ( ( sK2_SY18 @ SV9 @ SV15 @ SV13 )
= $true )
| ( ( sK1_Xs @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[97]) ).
thf(100,plain,
! [SV17: a,SV16: a,SV14: a,SV10: b] :
( ( ( ~ ( sK2_SY18 @ SV10 @ SV14 @ SV16 )
| ~ ( sK2_SY18 @ SV10 @ SV16 @ SV17 ) )
= $true )
| ( ( sK2_SY18 @ SV10 @ SV14 @ SV17 )
= $true )
| ( ( sK1_Xs @ SV10 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[98]) ).
thf(101,plain,
! [SV17: a,SV16: a,SV14: a,SV10: b] :
( ( ( ~ ( sK2_SY18 @ SV10 @ SV14 @ SV16 ) )
= $true )
| ( ( ~ ( sK2_SY18 @ SV10 @ SV16 @ SV17 ) )
= $true )
| ( ( sK2_SY18 @ SV10 @ SV14 @ SV17 )
= $true )
| ( ( sK1_Xs @ SV10 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[100]) ).
thf(102,plain,
! [SV17: a,SV16: a,SV14: a,SV10: b] :
( ( ( sK2_SY18 @ SV10 @ SV14 @ SV16 )
= $false )
| ( ( ~ ( sK2_SY18 @ SV10 @ SV16 @ SV17 ) )
= $true )
| ( ( sK2_SY18 @ SV10 @ SV14 @ SV17 )
= $true )
| ( ( sK1_Xs @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[101]) ).
thf(103,plain,
! [SV14: a,SV17: a,SV16: a,SV10: b] :
( ( ( sK2_SY18 @ SV10 @ SV16 @ SV17 )
= $false )
| ( ( sK2_SY18 @ SV10 @ SV14 @ SV16 )
= $false )
| ( ( sK2_SY18 @ SV10 @ SV14 @ SV17 )
= $true )
| ( ( sK1_Xs @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[102]) ).
thf(104,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[82,103,99,96,95,88]) ).
thf(105,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[104,55]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEV044^5 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.34 % Computer : n021.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jun 27 17:01:10 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35
% 0.13/0.35 No.of.Axioms: 0
% 0.13/0.35
% 0.13/0.35 Length.of.Defs: 0
% 0.13/0.35
% 0.13/0.35 Contains.Choice.Funs: false
% 0.13/0.36 (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)........
% 0.19/0.45
% 0.19/0.45 ********************************
% 0.19/0.45 * All subproblems solved! *
% 0.19/0.45 ********************************
% 0.19/0.45 % 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:104,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.19/0.46
% 0.19/0.46 %**** Beginning of derivation protocol ****
% 0.19/0.46 % SZS output start CNFRefutation
% See solution above
% 0.19/0.46
% 0.19/0.46 %**** End of derivation protocol ****
% 0.19/0.46 %**** no. of clauses in derivation: 105 ****
% 0.19/0.46 %**** clause counter: 104 ****
% 0.19/0.46
% 0.19/0.46 % 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:104,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------