%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : SEU997^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Oct 7 10:49:20 AM UTC 2026
% Result : Theorem 3.00s 0.77s
% Output : CNFRefutation 3.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 1
% Syntax : Number of formulae : 101 ( 100 unt; 0 typ; 0 def)
% Number of atoms : 497 ( 396 equ; 0 cnn)
% Maximal formula atoms : 21 ( 4 avg)
% Number of connectives : 1330 ( 136 ~; 44 |; 137 &; 996 @)
% ( 0 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 2 avg)
% Number of types : 1 ( 1 usr)
% Number of type conns : 14 ( 14 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 8 usr; 7 con; 0-2 aty)
% Number of variables : 380 ( 0 ^; 371 !; 9 ?; 380 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a,type,
a: $tType ).
thf(tp_sK1_JOIN,type,
sK1_JOIN: a > a > a ).
thf(tp_sK2_SY35,type,
sK2_SY35: a > a > a ).
thf(tp_sK3_SY69,type,
sK3_SY69: a ).
thf(tp_sK4_SY102,type,
sK4_SY102: a ).
thf(tp_sK5_SX0,type,
sK5_SX0: a ).
thf(tp_sK6_SY182,type,
sK6_SY182: a ).
thf(tp_sK7_SY177,type,
sK7_SY177: a > a ).
thf(tp_sK8_SY184,type,
sK8_SY184: a ).
thf(1,conjecture,
! [JOIN: a > a > a,MEET: a > a > a,TOP: a,BOTTOM: a] :
( ( ! [Xx: a] :
( ( JOIN @ Xx @ Xx )
= Xx )
& ! [Xx: a] :
( ( MEET @ Xx @ Xx )
= Xx )
& ! [Xx: a,Xy: a,Xz: a] :
( ( JOIN @ ( JOIN @ Xx @ Xy ) @ Xz )
= ( JOIN @ Xx @ ( JOIN @ Xy @ Xz ) ) )
& ! [Xx: a,Xy: a,Xz: a] :
( ( MEET @ ( MEET @ Xx @ Xy ) @ Xz )
= ( MEET @ Xx @ ( MEET @ Xy @ Xz ) ) )
& ! [Xx: a,Xy: a] :
( ( JOIN @ Xx @ Xy )
= ( JOIN @ Xy @ Xx ) )
& ! [Xx: a,Xy: a] :
( ( MEET @ Xx @ Xy )
= ( MEET @ Xy @ Xx ) )
& ! [Xx: a,Xy: a] :
( ( JOIN @ ( MEET @ Xx @ Xy ) @ Xy )
= Xy )
& ! [Xx: a,Xy: a] :
( ( MEET @ ( JOIN @ Xx @ Xy ) @ Xy )
= Xy )
& ! [Xx: a,Xy: a,Xz: a] :
( ( MEET @ Xx @ ( JOIN @ Xy @ Xz ) )
= ( JOIN @ ( MEET @ Xx @ Xy ) @ ( MEET @ Xx @ Xz ) ) )
& ! [Xx: a,Xy: a,Xz: a] :
( ( JOIN @ Xx @ ( MEET @ Xy @ Xz ) )
= ( MEET @ ( JOIN @ Xx @ Xy ) @ ( JOIN @ Xx @ Xz ) ) )
& ! [Xx: a] :
( ( MEET @ TOP @ Xx )
= Xx )
& ! [Xx: a] :
( ( JOIN @ TOP @ Xx )
= TOP )
& ! [Xx: a] :
( ( MEET @ BOTTOM @ Xx )
= BOTTOM )
& ! [Xx: a] :
( ( JOIN @ BOTTOM @ Xx )
= Xx )
& ! [Xx: a] :
? [Xy: a] :
( ( ( JOIN @ Xx @ Xy )
= TOP )
& ( ( MEET @ Xx @ Xy )
= BOTTOM ) ) )
=> ! [Xx: a,Xy: a,Xz: a] :
( ( ( ( JOIN @ Xx @ Xy )
= TOP )
& ( ( MEET @ Xx @ Xy )
= BOTTOM )
& ( ( JOIN @ Xx @ Xz )
= TOP )
& ( ( MEET @ Xx @ Xz )
= BOTTOM ) )
=> ( Xy = Xz ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cCD_LATTICE_THM_pme) ).
thf(2,negated_conjecture,
( ( ! [JOIN: a > a > a,MEET: a > a > a,TOP: a,BOTTOM: a] :
( ( ! [Xx: a] :
( ( JOIN @ Xx @ Xx )
= Xx )
& ! [Xx: a] :
( ( MEET @ Xx @ Xx )
= Xx )
& ! [Xx: a,Xy: a,Xz: a] :
( ( JOIN @ ( JOIN @ Xx @ Xy ) @ Xz )
= ( JOIN @ Xx @ ( JOIN @ Xy @ Xz ) ) )
& ! [Xx: a,Xy: a,Xz: a] :
( ( MEET @ ( MEET @ Xx @ Xy ) @ Xz )
= ( MEET @ Xx @ ( MEET @ Xy @ Xz ) ) )
& ! [Xx: a,Xy: a] :
( ( JOIN @ Xx @ Xy )
= ( JOIN @ Xy @ Xx ) )
& ! [Xx: a,Xy: a] :
( ( MEET @ Xx @ Xy )
= ( MEET @ Xy @ Xx ) )
& ! [Xx: a,Xy: a] :
( ( JOIN @ ( MEET @ Xx @ Xy ) @ Xy )
= Xy )
& ! [Xx: a,Xy: a] :
( ( MEET @ ( JOIN @ Xx @ Xy ) @ Xy )
= Xy )
& ! [Xx: a,Xy: a,Xz: a] :
( ( MEET @ Xx @ ( JOIN @ Xy @ Xz ) )
= ( JOIN @ ( MEET @ Xx @ Xy ) @ ( MEET @ Xx @ Xz ) ) )
& ! [Xx: a,Xy: a,Xz: a] :
( ( JOIN @ Xx @ ( MEET @ Xy @ Xz ) )
= ( MEET @ ( JOIN @ Xx @ Xy ) @ ( JOIN @ Xx @ Xz ) ) )
& ! [Xx: a] :
( ( MEET @ TOP @ Xx )
= Xx )
& ! [Xx: a] :
( ( JOIN @ TOP @ Xx )
= TOP )
& ! [Xx: a] :
( ( MEET @ BOTTOM @ Xx )
= BOTTOM )
& ! [Xx: a] :
( ( JOIN @ BOTTOM @ Xx )
= Xx )
& ! [Xx: a] :
? [Xy: a] :
( ( ( JOIN @ Xx @ Xy )
= TOP )
& ( ( MEET @ Xx @ Xy )
= BOTTOM ) ) )
=> ! [Xx: a,Xy: a,Xz: a] :
( ( ( ( JOIN @ Xx @ Xy )
= TOP )
& ( ( MEET @ Xx @ Xy )
= BOTTOM )
& ( ( JOIN @ Xx @ Xz )
= TOP )
& ( ( MEET @ Xx @ Xz )
= BOTTOM ) )
=> ( Xy = Xz ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ! [JOIN: a > a > a,MEET: a > a > a,TOP: a,BOTTOM: a] :
( ( ! [Xx: a] :
( ( JOIN @ Xx @ Xx )
= Xx )
& ! [Xx: a] :
( ( MEET @ Xx @ Xx )
= Xx )
& ! [Xx: a,Xy: a,Xz: a] :
( ( JOIN @ ( JOIN @ Xx @ Xy ) @ Xz )
= ( JOIN @ Xx @ ( JOIN @ Xy @ Xz ) ) )
& ! [Xx: a,Xy: a,Xz: a] :
( ( MEET @ ( MEET @ Xx @ Xy ) @ Xz )
= ( MEET @ Xx @ ( MEET @ Xy @ Xz ) ) )
& ! [Xx: a,Xy: a] :
( ( JOIN @ Xx @ Xy )
= ( JOIN @ Xy @ Xx ) )
& ! [Xx: a,Xy: a] :
( ( MEET @ Xx @ Xy )
= ( MEET @ Xy @ Xx ) )
& ! [Xx: a,Xy: a] :
( ( JOIN @ ( MEET @ Xx @ Xy ) @ Xy )
= Xy )
& ! [Xx: a,Xy: a] :
( ( MEET @ ( JOIN @ Xx @ Xy ) @ Xy )
= Xy )
& ! [Xx: a,Xy: a,Xz: a] :
( ( MEET @ Xx @ ( JOIN @ Xy @ Xz ) )
= ( JOIN @ ( MEET @ Xx @ Xy ) @ ( MEET @ Xx @ Xz ) ) )
& ! [Xx: a,Xy: a,Xz: a] :
( ( JOIN @ Xx @ ( MEET @ Xy @ Xz ) )
= ( MEET @ ( JOIN @ Xx @ Xy ) @ ( JOIN @ Xx @ Xz ) ) )
& ! [Xx: a] :
( ( MEET @ TOP @ Xx )
= Xx )
& ! [Xx: a] :
( ( JOIN @ TOP @ Xx )
= TOP )
& ! [Xx: a] :
( ( MEET @ BOTTOM @ Xx )
= BOTTOM )
& ! [Xx: a] :
( ( JOIN @ BOTTOM @ Xx )
= Xx )
& ! [Xx: a] :
? [Xy: a] :
( ( ( JOIN @ Xx @ Xy )
= TOP )
& ( ( MEET @ Xx @ Xy )
= BOTTOM ) ) )
=> ! [Xx: a,Xy: a,Xz: a] :
( ( ( ( JOIN @ Xx @ Xy )
= TOP )
& ( ( MEET @ Xx @ Xy )
= BOTTOM )
& ( ( JOIN @ Xx @ Xz )
= TOP )
& ( ( MEET @ Xx @ Xz )
= BOTTOM ) )
=> ( Xy = Xz ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ! [SY35: a > a > a,SY36: a,SY37: a] :
( ( ! [SY38: a] :
( ( sK1_JOIN @ SY38 @ SY38 )
= SY38 )
& ! [Xx: a] :
( ( SY35 @ Xx @ Xx )
= Xx )
& ! [SY40: a,SY41: a,SY42: a] :
( ( sK1_JOIN @ ( sK1_JOIN @ SY40 @ SY41 ) @ SY42 )
= ( sK1_JOIN @ SY40 @ ( sK1_JOIN @ SY41 @ SY42 ) ) )
& ! [Xx: a,Xy: a,Xz: a] :
( ( SY35 @ ( SY35 @ Xx @ Xy ) @ Xz )
= ( SY35 @ Xx @ ( SY35 @ Xy @ Xz ) ) )
& ! [SY46: a,SY47: a] :
( ( sK1_JOIN @ SY46 @ SY47 )
= ( sK1_JOIN @ SY47 @ SY46 ) )
& ! [Xx: a,Xy: a] :
( ( SY35 @ Xx @ Xy )
= ( SY35 @ Xy @ Xx ) )
& ! [SY50: a,SY51: a] :
( ( sK1_JOIN @ ( SY35 @ SY50 @ SY51 ) @ SY51 )
= SY51 )
& ! [SY52: a,SY53: a] :
( ( SY35 @ ( sK1_JOIN @ SY52 @ SY53 ) @ SY53 )
= SY53 )
& ! [SY54: a,SY55: a,SY56: a] :
( ( SY35 @ SY54 @ ( sK1_JOIN @ SY55 @ SY56 ) )
= ( sK1_JOIN @ ( SY35 @ SY54 @ SY55 ) @ ( SY35 @ SY54 @ SY56 ) ) )
& ! [SY57: a,SY58: a,SY59: a] :
( ( sK1_JOIN @ SY57 @ ( SY35 @ SY58 @ SY59 ) )
= ( SY35 @ ( sK1_JOIN @ SY57 @ SY58 ) @ ( sK1_JOIN @ SY57 @ SY59 ) ) )
& ! [Xx: a] :
( ( SY35 @ SY36 @ Xx )
= Xx )
& ! [SY61: a] :
( ( sK1_JOIN @ SY36 @ SY61 )
= SY36 )
& ! [Xx: a] :
( ( SY35 @ SY37 @ Xx )
= SY37 )
& ! [SY63: a] :
( ( sK1_JOIN @ SY37 @ SY63 )
= SY63 )
& ! [SY64: a] :
? [SY65: a] :
( ( ( sK1_JOIN @ SY64 @ SY65 )
= SY36 )
& ( ( SY35 @ SY64 @ SY65 )
= SY37 ) ) )
=> ! [SY66: a,SY67: a,SY68: a] :
( ( ( ( sK1_JOIN @ SY66 @ SY67 )
= SY36 )
& ( ( SY35 @ SY66 @ SY67 )
= SY37 )
& ( ( sK1_JOIN @ SY66 @ SY68 )
= SY36 )
& ( ( SY35 @ SY66 @ SY68 )
= SY37 ) )
=> ( SY67 = SY68 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[3]) ).
thf(5,plain,
( ( ! [SY69: a,SY70: a] :
( ( ! [SY38: a] :
( ( sK1_JOIN @ SY38 @ SY38 )
= SY38 )
& ! [SY72: a] :
( ( sK2_SY35 @ SY72 @ SY72 )
= SY72 )
& ! [SY40: a,SY41: a,SY42: a] :
( ( sK1_JOIN @ ( sK1_JOIN @ SY40 @ SY41 ) @ SY42 )
= ( sK1_JOIN @ SY40 @ ( sK1_JOIN @ SY41 @ SY42 ) ) )
& ! [SY76: a,SY77: a,SY78: a] :
( ( sK2_SY35 @ ( sK2_SY35 @ SY76 @ SY77 ) @ SY78 )
= ( sK2_SY35 @ SY76 @ ( sK2_SY35 @ SY77 @ SY78 ) ) )
& ! [SY46: a,SY47: a] :
( ( sK1_JOIN @ SY46 @ SY47 )
= ( sK1_JOIN @ SY47 @ SY46 ) )
& ! [SY81: a,SY82: a] :
( ( sK2_SY35 @ SY81 @ SY82 )
= ( sK2_SY35 @ SY82 @ SY81 ) )
& ! [SY83: a,SY84: a] :
( ( sK1_JOIN @ ( sK2_SY35 @ SY83 @ SY84 ) @ SY84 )
= SY84 )
& ! [SY85: a,SY86: a] :
( ( sK2_SY35 @ ( sK1_JOIN @ SY85 @ SY86 ) @ SY86 )
= SY86 )
& ! [SY87: a,SY88: a,SY89: a] :
( ( sK2_SY35 @ SY87 @ ( sK1_JOIN @ SY88 @ SY89 ) )
= ( sK1_JOIN @ ( sK2_SY35 @ SY87 @ SY88 ) @ ( sK2_SY35 @ SY87 @ SY89 ) ) )
& ! [SY90: a,SY91: a,SY92: a] :
( ( sK1_JOIN @ SY90 @ ( sK2_SY35 @ SY91 @ SY92 ) )
= ( sK2_SY35 @ ( sK1_JOIN @ SY90 @ SY91 ) @ ( sK1_JOIN @ SY90 @ SY92 ) ) )
& ! [SY93: a] :
( ( sK2_SY35 @ SY69 @ SY93 )
= SY93 )
& ! [SY61: a] :
( ( sK1_JOIN @ SY69 @ SY61 )
= SY69 )
& ! [SY95: a] :
( ( sK2_SY35 @ SY70 @ SY95 )
= SY70 )
& ! [SY63: a] :
( ( sK1_JOIN @ SY70 @ SY63 )
= SY63 )
& ! [SY97: a] :
? [SY98: a] :
( ( ( sK1_JOIN @ SY97 @ SY98 )
= SY69 )
& ( ( sK2_SY35 @ SY97 @ SY98 )
= SY70 ) ) )
=> ! [SY99: a,SY100: a,SY101: a] :
( ( ( ( sK1_JOIN @ SY99 @ SY100 )
= SY69 )
& ( ( sK2_SY35 @ SY99 @ SY100 )
= SY70 )
& ( ( sK1_JOIN @ SY99 @ SY101 )
= SY69 )
& ( ( sK2_SY35 @ SY99 @ SY101 )
= SY70 ) )
=> ( SY100 = SY101 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[4]) ).
thf(6,plain,
( ( ! [SY102: a] :
( ( ! [SY38: a] :
( ( sK1_JOIN @ SY38 @ SY38 )
= SY38 )
& ! [SY72: a] :
( ( sK2_SY35 @ SY72 @ SY72 )
= SY72 )
& ! [SY40: a,SY41: a,SY42: a] :
( ( sK1_JOIN @ ( sK1_JOIN @ SY40 @ SY41 ) @ SY42 )
= ( sK1_JOIN @ SY40 @ ( sK1_JOIN @ SY41 @ SY42 ) ) )
& ! [SY76: a,SY77: a,SY78: a] :
( ( sK2_SY35 @ ( sK2_SY35 @ SY76 @ SY77 ) @ SY78 )
= ( sK2_SY35 @ SY76 @ ( sK2_SY35 @ SY77 @ SY78 ) ) )
& ! [SY46: a,SY47: a] :
( ( sK1_JOIN @ SY46 @ SY47 )
= ( sK1_JOIN @ SY47 @ SY46 ) )
& ! [SY81: a,SY82: a] :
( ( sK2_SY35 @ SY81 @ SY82 )
= ( sK2_SY35 @ SY82 @ SY81 ) )
& ! [SY83: a,SY84: a] :
( ( sK1_JOIN @ ( sK2_SY35 @ SY83 @ SY84 ) @ SY84 )
= SY84 )
& ! [SY85: a,SY86: a] :
( ( sK2_SY35 @ ( sK1_JOIN @ SY85 @ SY86 ) @ SY86 )
= SY86 )
& ! [SY87: a,SY88: a,SY89: a] :
( ( sK2_SY35 @ SY87 @ ( sK1_JOIN @ SY88 @ SY89 ) )
= ( sK1_JOIN @ ( sK2_SY35 @ SY87 @ SY88 ) @ ( sK2_SY35 @ SY87 @ SY89 ) ) )
& ! [SY90: a,SY91: a,SY92: a] :
( ( sK1_JOIN @ SY90 @ ( sK2_SY35 @ SY91 @ SY92 ) )
= ( sK2_SY35 @ ( sK1_JOIN @ SY90 @ SY91 ) @ ( sK1_JOIN @ SY90 @ SY92 ) ) )
& ! [SY125: a] :
( ( sK2_SY35 @ sK3_SY69 @ SY125 )
= SY125 )
& ! [SY126: a] :
( ( sK1_JOIN @ sK3_SY69 @ SY126 )
= sK3_SY69 )
& ! [SY95: a] :
( ( sK2_SY35 @ SY102 @ SY95 )
= SY102 )
& ! [SY63: a] :
( ( sK1_JOIN @ SY102 @ SY63 )
= SY63 )
& ! [SY129: a] :
? [SY130: a] :
( ( ( sK1_JOIN @ SY129 @ SY130 )
= sK3_SY69 )
& ( ( sK2_SY35 @ SY129 @ SY130 )
= SY102 ) ) )
=> ! [SY131: a,SY132: a,SY133: a] :
( ( ( ( sK1_JOIN @ SY131 @ SY132 )
= sK3_SY69 )
& ( ( sK2_SY35 @ SY131 @ SY132 )
= SY102 )
& ( ( sK1_JOIN @ SY131 @ SY133 )
= sK3_SY69 )
& ( ( sK2_SY35 @ SY131 @ SY133 )
= SY102 ) )
=> ( SY132 = SY133 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[5]) ).
thf(7,plain,
( ( ( ! [SY38: a] :
( ( sK1_JOIN @ SY38 @ SY38 )
= SY38 )
& ! [SY72: a] :
( ( sK2_SY35 @ SY72 @ SY72 )
= SY72 )
& ! [SY40: a,SY41: a,SY42: a] :
( ( sK1_JOIN @ ( sK1_JOIN @ SY40 @ SY41 ) @ SY42 )
= ( sK1_JOIN @ SY40 @ ( sK1_JOIN @ SY41 @ SY42 ) ) )
& ! [SY76: a,SY77: a,SY78: a] :
( ( sK2_SY35 @ ( sK2_SY35 @ SY76 @ SY77 ) @ SY78 )
= ( sK2_SY35 @ SY76 @ ( sK2_SY35 @ SY77 @ SY78 ) ) )
& ! [SY46: a,SY47: a] :
( ( sK1_JOIN @ SY46 @ SY47 )
= ( sK1_JOIN @ SY47 @ SY46 ) )
& ! [SY81: a,SY82: a] :
( ( sK2_SY35 @ SY81 @ SY82 )
= ( sK2_SY35 @ SY82 @ SY81 ) )
& ! [SY83: a,SY84: a] :
( ( sK1_JOIN @ ( sK2_SY35 @ SY83 @ SY84 ) @ SY84 )
= SY84 )
& ! [SY85: a,SY86: a] :
( ( sK2_SY35 @ ( sK1_JOIN @ SY85 @ SY86 ) @ SY86 )
= SY86 )
& ! [SY87: a,SY88: a,SY89: a] :
( ( sK2_SY35 @ SY87 @ ( sK1_JOIN @ SY88 @ SY89 ) )
= ( sK1_JOIN @ ( sK2_SY35 @ SY87 @ SY88 ) @ ( sK2_SY35 @ SY87 @ SY89 ) ) )
& ! [SY90: a,SY91: a,SY92: a] :
( ( sK1_JOIN @ SY90 @ ( sK2_SY35 @ SY91 @ SY92 ) )
= ( sK2_SY35 @ ( sK1_JOIN @ SY90 @ SY91 ) @ ( sK1_JOIN @ SY90 @ SY92 ) ) )
& ! [SY125: a] :
( ( sK2_SY35 @ sK3_SY69 @ SY125 )
= SY125 )
& ! [SY126: a] :
( ( sK1_JOIN @ sK3_SY69 @ SY126 )
= sK3_SY69 )
& ! [SY158: a] :
( ( sK2_SY35 @ sK4_SY102 @ SY158 )
= sK4_SY102 )
& ! [SY159: a] :
( ( sK1_JOIN @ sK4_SY102 @ SY159 )
= SY159 )
& ! [SY160: a] :
? [SY161: a] :
( ( ( sK1_JOIN @ SY160 @ SY161 )
= sK3_SY69 )
& ( ( sK2_SY35 @ SY160 @ SY161 )
= sK4_SY102 ) ) )
=> ! [SY162: a,SY163: a,SY164: a] :
( ( ( ( sK1_JOIN @ SY162 @ SY163 )
= sK3_SY69 )
& ( ( sK2_SY35 @ SY162 @ SY163 )
= sK4_SY102 )
& ( ( sK1_JOIN @ SY162 @ SY164 )
= sK3_SY69 )
& ( ( sK2_SY35 @ SY162 @ SY164 )
= sK4_SY102 ) )
=> ( SY163 = SY164 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[6]) ).
thf(8,plain,
( ( ! [SY38: a] :
( ( sK1_JOIN @ SY38 @ SY38 )
= SY38 ) )
= $true ),
inference(standard_cnf,[status(thm)],[7]) ).
thf(9,plain,
( ( ! [SY72: a] :
( ( sK2_SY35 @ SY72 @ SY72 )
= SY72 ) )
= $true ),
inference(standard_cnf,[status(thm)],[7]) ).
thf(10,plain,
( ( ! [SY40: a,SY41: a,SY42: a] :
( ( sK1_JOIN @ ( sK1_JOIN @ SY40 @ SY41 ) @ SY42 )
= ( sK1_JOIN @ SY40 @ ( sK1_JOIN @ SY41 @ SY42 ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[7]) ).
thf(11,plain,
( ( ! [SY76: a,SY77: a,SY78: a] :
( ( sK2_SY35 @ ( sK2_SY35 @ SY76 @ SY77 ) @ SY78 )
= ( sK2_SY35 @ SY76 @ ( sK2_SY35 @ SY77 @ SY78 ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[7]) ).
thf(12,plain,
( ( ! [SY46: a,SY47: a] :
( ( sK1_JOIN @ SY46 @ SY47 )
= ( sK1_JOIN @ SY47 @ SY46 ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[7]) ).
thf(13,plain,
( ( ! [SY81: a,SY82: a] :
( ( sK2_SY35 @ SY81 @ SY82 )
= ( sK2_SY35 @ SY82 @ SY81 ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[7]) ).
thf(14,plain,
( ( ! [SY83: a,SY84: a] :
( ( sK1_JOIN @ ( sK2_SY35 @ SY83 @ SY84 ) @ SY84 )
= SY84 ) )
= $true ),
inference(standard_cnf,[status(thm)],[7]) ).
thf(15,plain,
( ( ! [SY85: a,SY86: a] :
( ( sK2_SY35 @ ( sK1_JOIN @ SY85 @ SY86 ) @ SY86 )
= SY86 ) )
= $true ),
inference(standard_cnf,[status(thm)],[7]) ).
thf(16,plain,
( ( ! [SY87: a,SY88: a,SY89: a] :
( ( sK2_SY35 @ SY87 @ ( sK1_JOIN @ SY88 @ SY89 ) )
= ( sK1_JOIN @ ( sK2_SY35 @ SY87 @ SY88 ) @ ( sK2_SY35 @ SY87 @ SY89 ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[7]) ).
thf(17,plain,
( ( ! [SY90: a,SY91: a,SY92: a] :
( ( sK1_JOIN @ SY90 @ ( sK2_SY35 @ SY91 @ SY92 ) )
= ( sK2_SY35 @ ( sK1_JOIN @ SY90 @ SY91 ) @ ( sK1_JOIN @ SY90 @ SY92 ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[7]) ).
thf(18,plain,
( ( ! [SY125: a] :
( ( sK2_SY35 @ sK3_SY69 @ SY125 )
= SY125 ) )
= $true ),
inference(standard_cnf,[status(thm)],[7]) ).
thf(19,plain,
( ( ! [SY126: a] :
( ( sK1_JOIN @ sK3_SY69 @ SY126 )
= sK3_SY69 ) )
= $true ),
inference(standard_cnf,[status(thm)],[7]) ).
thf(20,plain,
( ( ! [SY158: a] :
( ( sK2_SY35 @ sK4_SY102 @ SY158 )
= sK4_SY102 ) )
= $true ),
inference(standard_cnf,[status(thm)],[7]) ).
thf(21,plain,
( ( ! [SY159: a] :
( ( sK1_JOIN @ sK4_SY102 @ SY159 )
= SY159 ) )
= $true ),
inference(standard_cnf,[status(thm)],[7]) ).
thf(22,plain,
( ( ! [SY160: a] :
? [SY161: a] :
( ( ( sK1_JOIN @ SY160 @ SY161 )
= sK3_SY69 )
& ( ( sK2_SY35 @ SY160 @ SY161 )
= sK4_SY102 ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[7]) ).
thf(23,plain,
( ( ! [SY162: a,SY163: a,SY164: a] :
( ( ( ( sK1_JOIN @ SY162 @ SY163 )
= sK3_SY69 )
& ( ( sK2_SY35 @ SY162 @ SY163 )
= sK4_SY102 )
& ( ( sK1_JOIN @ SY162 @ SY164 )
= sK3_SY69 )
& ( ( sK2_SY35 @ SY162 @ SY164 )
= sK4_SY102 ) )
=> ( SY163 = SY164 ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[7]) ).
thf(24,plain,
( ( ~ ! [SY162: a,SY163: a,SY164: a] :
( ( ( ( sK1_JOIN @ SY162 @ SY163 )
= sK3_SY69 )
& ( ( sK2_SY35 @ SY162 @ SY163 )
= sK4_SY102 )
& ( ( sK1_JOIN @ SY162 @ SY164 )
= sK3_SY69 )
& ( ( sK2_SY35 @ SY162 @ SY164 )
= sK4_SY102 ) )
=> ( SY163 = SY164 ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[23]) ).
thf(25,plain,
( ( ! [SY160: a] :
? [SY161: a] :
( ( ( sK1_JOIN @ SY160 @ SY161 )
= sK3_SY69 )
& ( ( sK2_SY35 @ SY160 @ SY161 )
= sK4_SY102 ) ) )
= $true ),
inference(copy,[status(thm)],[22]) ).
thf(26,plain,
( ( ! [SY159: a] :
( ( sK1_JOIN @ sK4_SY102 @ SY159 )
= SY159 ) )
= $true ),
inference(copy,[status(thm)],[21]) ).
thf(27,plain,
( ( ! [SY158: a] :
( ( sK2_SY35 @ sK4_SY102 @ SY158 )
= sK4_SY102 ) )
= $true ),
inference(copy,[status(thm)],[20]) ).
thf(28,plain,
( ( ! [SY126: a] :
( ( sK1_JOIN @ sK3_SY69 @ SY126 )
= sK3_SY69 ) )
= $true ),
inference(copy,[status(thm)],[19]) ).
thf(29,plain,
( ( ! [SY125: a] :
( ( sK2_SY35 @ sK3_SY69 @ SY125 )
= SY125 ) )
= $true ),
inference(copy,[status(thm)],[18]) ).
thf(30,plain,
( ( ! [SY90: a,SY91: a,SY92: a] :
( ( sK1_JOIN @ SY90 @ ( sK2_SY35 @ SY91 @ SY92 ) )
= ( sK2_SY35 @ ( sK1_JOIN @ SY90 @ SY91 ) @ ( sK1_JOIN @ SY90 @ SY92 ) ) ) )
= $true ),
inference(copy,[status(thm)],[17]) ).
thf(31,plain,
( ( ! [SY87: a,SY88: a,SY89: a] :
( ( sK2_SY35 @ SY87 @ ( sK1_JOIN @ SY88 @ SY89 ) )
= ( sK1_JOIN @ ( sK2_SY35 @ SY87 @ SY88 ) @ ( sK2_SY35 @ SY87 @ SY89 ) ) ) )
= $true ),
inference(copy,[status(thm)],[16]) ).
thf(32,plain,
( ( ! [SY85: a,SY86: a] :
( ( sK2_SY35 @ ( sK1_JOIN @ SY85 @ SY86 ) @ SY86 )
= SY86 ) )
= $true ),
inference(copy,[status(thm)],[15]) ).
thf(33,plain,
( ( ! [SY83: a,SY84: a] :
( ( sK1_JOIN @ ( sK2_SY35 @ SY83 @ SY84 ) @ SY84 )
= SY84 ) )
= $true ),
inference(copy,[status(thm)],[14]) ).
thf(34,plain,
( ( ! [SY81: a,SY82: a] :
( ( sK2_SY35 @ SY81 @ SY82 )
= ( sK2_SY35 @ SY82 @ SY81 ) ) )
= $true ),
inference(copy,[status(thm)],[13]) ).
thf(35,plain,
( ( ! [SY46: a,SY47: a] :
( ( sK1_JOIN @ SY46 @ SY47 )
= ( sK1_JOIN @ SY47 @ SY46 ) ) )
= $true ),
inference(copy,[status(thm)],[12]) ).
thf(36,plain,
( ( ! [SY76: a,SY77: a,SY78: a] :
( ( sK2_SY35 @ ( sK2_SY35 @ SY76 @ SY77 ) @ SY78 )
= ( sK2_SY35 @ SY76 @ ( sK2_SY35 @ SY77 @ SY78 ) ) ) )
= $true ),
inference(copy,[status(thm)],[11]) ).
thf(37,plain,
( ( ! [SY40: a,SY41: a,SY42: a] :
( ( sK1_JOIN @ ( sK1_JOIN @ SY40 @ SY41 ) @ SY42 )
= ( sK1_JOIN @ SY40 @ ( sK1_JOIN @ SY41 @ SY42 ) ) ) )
= $true ),
inference(copy,[status(thm)],[10]) ).
thf(38,plain,
( ( ! [SY72: a] :
( ( sK2_SY35 @ SY72 @ SY72 )
= SY72 ) )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(39,plain,
( ( ! [SY38: a] :
( ( sK1_JOIN @ SY38 @ SY38 )
= SY38 ) )
= $true ),
inference(copy,[status(thm)],[8]) ).
thf(40,plain,
( ( ~ ! [SY162: a,SY163: a,SY164: a] :
( ( ( ( sK1_JOIN @ SY162 @ SY163 )
= sK3_SY69 )
& ( ( sK2_SY35 @ SY162 @ SY163 )
= sK4_SY102 )
& ( ( sK1_JOIN @ SY162 @ SY164 )
= sK3_SY69 )
& ( ( sK2_SY35 @ SY162 @ SY164 )
= sK4_SY102 ) )
=> ( SY163 = SY164 ) ) )
= $true ),
inference(copy,[status(thm)],[24]) ).
thf(41,plain,
( ( ~ ! [SX0: a,SX1: a,SX2: a] :
( ~ ~ ( ~ ~ ( ~ ~ ( ( ( sK1_JOIN @ SX0 @ SX1 )
!= sK3_SY69 )
| ( ( sK2_SY35 @ SX0 @ SX1 )
!= sK4_SY102 ) )
| ( ( sK1_JOIN @ SX0 @ SX2 )
!= sK3_SY69 ) )
| ( ( sK2_SY35 @ SX0 @ SX2 )
!= sK4_SY102 ) )
| ( SX1 = SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[40]) ).
thf(42,plain,
( ( ! [SX0: a] :
~ ! [SX1: a] :
~ ~ ( ( ( sK1_JOIN @ SX0 @ SX1 )
!= sK3_SY69 )
| ( ( sK2_SY35 @ SX0 @ SX1 )
!= sK4_SY102 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[25]) ).
thf(43,plain,
! [SV1: a] :
( ( ( sK1_JOIN @ sK4_SY102 @ SV1 )
= SV1 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[26]) ).
thf(44,plain,
! [SV2: a] :
( ( ( sK2_SY35 @ sK4_SY102 @ SV2 )
= sK4_SY102 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[27]) ).
thf(45,plain,
! [SV3: a] :
( ( ( sK1_JOIN @ sK3_SY69 @ SV3 )
= sK3_SY69 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[28]) ).
thf(46,plain,
! [SV4: a] :
( ( ( sK2_SY35 @ sK3_SY69 @ SV4 )
= SV4 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[29]) ).
thf(47,plain,
! [SV5: a] :
( ( ! [SY165: a,SY166: a] :
( ( sK1_JOIN @ SV5 @ ( sK2_SY35 @ SY165 @ SY166 ) )
= ( sK2_SY35 @ ( sK1_JOIN @ SV5 @ SY165 ) @ ( sK1_JOIN @ SV5 @ SY166 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[30]) ).
thf(48,plain,
! [SV6: a] :
( ( ! [SY167: a,SY168: a] :
( ( sK2_SY35 @ SV6 @ ( sK1_JOIN @ SY167 @ SY168 ) )
= ( sK1_JOIN @ ( sK2_SY35 @ SV6 @ SY167 ) @ ( sK2_SY35 @ SV6 @ SY168 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[31]) ).
thf(49,plain,
! [SV7: a] :
( ( ! [SY169: a] :
( ( sK2_SY35 @ ( sK1_JOIN @ SV7 @ SY169 ) @ SY169 )
= SY169 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[32]) ).
thf(50,plain,
! [SV8: a] :
( ( ! [SY170: a] :
( ( sK1_JOIN @ ( sK2_SY35 @ SV8 @ SY170 ) @ SY170 )
= SY170 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[33]) ).
thf(51,plain,
! [SV9: a] :
( ( ! [SY171: a] :
( ( sK2_SY35 @ SV9 @ SY171 )
= ( sK2_SY35 @ SY171 @ SV9 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[34]) ).
thf(52,plain,
! [SV10: a] :
( ( ! [SY172: a] :
( ( sK1_JOIN @ SV10 @ SY172 )
= ( sK1_JOIN @ SY172 @ SV10 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[35]) ).
thf(53,plain,
! [SV11: a] :
( ( ! [SY173: a,SY174: a] :
( ( sK2_SY35 @ ( sK2_SY35 @ SV11 @ SY173 ) @ SY174 )
= ( sK2_SY35 @ SV11 @ ( sK2_SY35 @ SY173 @ SY174 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[36]) ).
thf(54,plain,
! [SV12: a] :
( ( ! [SY175: a,SY176: a] :
( ( sK1_JOIN @ ( sK1_JOIN @ SV12 @ SY175 ) @ SY176 )
= ( sK1_JOIN @ SV12 @ ( sK1_JOIN @ SY175 @ SY176 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[37]) ).
thf(55,plain,
! [SV13: a] :
( ( ( sK2_SY35 @ SV13 @ SV13 )
= SV13 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[38]) ).
thf(56,plain,
! [SV14: a] :
( ( ( sK1_JOIN @ SV14 @ SV14 )
= SV14 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[39]) ).
thf(57,plain,
( ( ! [SX0: a,SX1: a,SX2: a] :
( ~ ~ ( ~ ~ ( ~ ~ ( ( ( sK1_JOIN @ SX0 @ SX1 )
!= sK3_SY69 )
| ( ( sK2_SY35 @ SX0 @ SX1 )
!= sK4_SY102 ) )
| ( ( sK1_JOIN @ SX0 @ SX2 )
!= sK3_SY69 ) )
| ( ( sK2_SY35 @ SX0 @ SX2 )
!= sK4_SY102 ) )
| ( SX1 = SX2 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[41]) ).
thf(58,plain,
! [SV15: a] :
( ( ~ ! [SY177: a] :
~ ~ ( ( ( sK1_JOIN @ SV15 @ SY177 )
!= sK3_SY69 )
| ( ( sK2_SY35 @ SV15 @ SY177 )
!= sK4_SY102 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[42]) ).
thf(59,plain,
! [SV16: a,SV5: a] :
( ( ! [SY178: a] :
( ( sK1_JOIN @ SV5 @ ( sK2_SY35 @ SV16 @ SY178 ) )
= ( sK2_SY35 @ ( sK1_JOIN @ SV5 @ SV16 ) @ ( sK1_JOIN @ SV5 @ SY178 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[47]) ).
thf(60,plain,
! [SV17: a,SV6: a] :
( ( ! [SY179: a] :
( ( sK2_SY35 @ SV6 @ ( sK1_JOIN @ SV17 @ SY179 ) )
= ( sK1_JOIN @ ( sK2_SY35 @ SV6 @ SV17 ) @ ( sK2_SY35 @ SV6 @ SY179 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[48]) ).
thf(61,plain,
! [SV18: a,SV7: a] :
( ( ( sK2_SY35 @ ( sK1_JOIN @ SV7 @ SV18 ) @ SV18 )
= SV18 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[49]) ).
thf(62,plain,
! [SV19: a,SV8: a] :
( ( ( sK1_JOIN @ ( sK2_SY35 @ SV8 @ SV19 ) @ SV19 )
= SV19 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[50]) ).
thf(63,plain,
! [SV20: a,SV9: a] :
( ( ( sK2_SY35 @ SV9 @ SV20 )
= ( sK2_SY35 @ SV20 @ SV9 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[51]) ).
thf(64,plain,
! [SV21: a,SV10: a] :
( ( ( sK1_JOIN @ SV10 @ SV21 )
= ( sK1_JOIN @ SV21 @ SV10 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[52]) ).
thf(65,plain,
! [SV22: a,SV11: a] :
( ( ! [SY180: a] :
( ( sK2_SY35 @ ( sK2_SY35 @ SV11 @ SV22 ) @ SY180 )
= ( sK2_SY35 @ SV11 @ ( sK2_SY35 @ SV22 @ SY180 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[53]) ).
thf(66,plain,
! [SV23: a,SV12: a] :
( ( ! [SY181: a] :
( ( sK1_JOIN @ ( sK1_JOIN @ SV12 @ SV23 ) @ SY181 )
= ( sK1_JOIN @ SV12 @ ( sK1_JOIN @ SV23 @ SY181 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[54]) ).
thf(67,plain,
( ( ! [SY182: a,SY183: a] :
( ~ ~ ( ~ ~ ( ~ ~ ( ( ( sK1_JOIN @ sK5_SX0 @ SY182 )
!= sK3_SY69 )
| ( ( sK2_SY35 @ sK5_SX0 @ SY182 )
!= sK4_SY102 ) )
| ( ( sK1_JOIN @ sK5_SX0 @ SY183 )
!= sK3_SY69 ) )
| ( ( sK2_SY35 @ sK5_SX0 @ SY183 )
!= sK4_SY102 ) )
| ( SY182 = SY183 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[57]) ).
thf(68,plain,
! [SV15: a] :
( ( ! [SY177: a] :
~ ~ ( ( ( sK1_JOIN @ SV15 @ SY177 )
!= sK3_SY69 )
| ( ( sK2_SY35 @ SV15 @ SY177 )
!= sK4_SY102 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[58]) ).
thf(69,plain,
! [SV24: a,SV16: a,SV5: a] :
( ( ( sK1_JOIN @ SV5 @ ( sK2_SY35 @ SV16 @ SV24 ) )
= ( sK2_SY35 @ ( sK1_JOIN @ SV5 @ SV16 ) @ ( sK1_JOIN @ SV5 @ SV24 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[59]) ).
thf(70,plain,
! [SV25: a,SV17: a,SV6: a] :
( ( ( sK2_SY35 @ SV6 @ ( sK1_JOIN @ SV17 @ SV25 ) )
= ( sK1_JOIN @ ( sK2_SY35 @ SV6 @ SV17 ) @ ( sK2_SY35 @ SV6 @ SV25 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[60]) ).
thf(71,plain,
! [SV26: a,SV22: a,SV11: a] :
( ( ( sK2_SY35 @ ( sK2_SY35 @ SV11 @ SV22 ) @ SV26 )
= ( sK2_SY35 @ SV11 @ ( sK2_SY35 @ SV22 @ SV26 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[65]) ).
thf(72,plain,
! [SV27: a,SV23: a,SV12: a] :
( ( ( sK1_JOIN @ ( sK1_JOIN @ SV12 @ SV23 ) @ SV27 )
= ( sK1_JOIN @ SV12 @ ( sK1_JOIN @ SV23 @ SV27 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[66]) ).
thf(73,plain,
( ( ! [SY184: a] :
( ~ ~ ( ~ ~ ( ~ ~ ( ( ( sK1_JOIN @ sK5_SX0 @ sK6_SY182 )
!= sK3_SY69 )
| ( ( sK2_SY35 @ sK5_SX0 @ sK6_SY182 )
!= sK4_SY102 ) )
| ( ( sK1_JOIN @ sK5_SX0 @ SY184 )
!= sK3_SY69 ) )
| ( ( sK2_SY35 @ sK5_SX0 @ SY184 )
!= sK4_SY102 ) )
| ( sK6_SY182 = SY184 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[67]) ).
thf(74,plain,
! [SV15: a] :
( ( ~ ~ ( ( ( sK1_JOIN @ SV15 @ ( sK7_SY177 @ SV15 ) )
!= sK3_SY69 )
| ( ( sK2_SY35 @ SV15 @ ( sK7_SY177 @ SV15 ) )
!= sK4_SY102 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[68]) ).
thf(75,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ( ( sK1_JOIN @ sK5_SX0 @ sK6_SY182 )
!= sK3_SY69 )
| ( ( sK2_SY35 @ sK5_SX0 @ sK6_SY182 )
!= sK4_SY102 ) )
| ( ( sK1_JOIN @ sK5_SX0 @ sK8_SY184 )
!= sK3_SY69 ) )
| ( ( sK2_SY35 @ sK5_SX0 @ sK8_SY184 )
!= sK4_SY102 ) )
| ( sK6_SY182 = sK8_SY184 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[73]) ).
thf(76,plain,
! [SV15: a] :
( ( ~ ( ( ( sK1_JOIN @ SV15 @ ( sK7_SY177 @ SV15 ) )
!= sK3_SY69 )
| ( ( sK2_SY35 @ SV15 @ ( sK7_SY177 @ SV15 ) )
!= sK4_SY102 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[74]) ).
thf(77,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ( ( sK1_JOIN @ sK5_SX0 @ sK6_SY182 )
!= sK3_SY69 )
| ( ( sK2_SY35 @ sK5_SX0 @ sK6_SY182 )
!= sK4_SY102 ) )
| ( ( sK1_JOIN @ sK5_SX0 @ sK8_SY184 )
!= sK3_SY69 ) )
| ( ( sK2_SY35 @ sK5_SX0 @ sK8_SY184 )
!= sK4_SY102 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[75]) ).
thf(78,plain,
( ( sK6_SY182 = sK8_SY184 )
= $false ),
inference(extcnf_or_neg,[status(thm)],[75]) ).
thf(79,plain,
! [SV15: a] :
( ( ( ( sK1_JOIN @ SV15 @ ( sK7_SY177 @ SV15 ) )
!= sK3_SY69 )
| ( ( sK2_SY35 @ SV15 @ ( sK7_SY177 @ SV15 ) )
!= sK4_SY102 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[76]) ).
thf(80,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ( ( sK1_JOIN @ sK5_SX0 @ sK6_SY182 )
!= sK3_SY69 )
| ( ( sK2_SY35 @ sK5_SX0 @ sK6_SY182 )
!= sK4_SY102 ) )
| ( ( sK1_JOIN @ sK5_SX0 @ sK8_SY184 )
!= sK3_SY69 ) )
| ( ( sK2_SY35 @ sK5_SX0 @ sK8_SY184 )
!= sK4_SY102 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[77]) ).
thf(81,plain,
! [SV15: a] :
( ( ( sK1_JOIN @ SV15 @ ( sK7_SY177 @ SV15 ) )
!= sK3_SY69 )
= $false ),
inference(extcnf_or_neg,[status(thm)],[79]) ).
thf(82,plain,
! [SV15: a] :
( ( ( sK2_SY35 @ SV15 @ ( sK7_SY177 @ SV15 ) )
!= sK4_SY102 )
= $false ),
inference(extcnf_or_neg,[status(thm)],[79]) ).
thf(83,plain,
( ( ~ ~ ( ~ ~ ( ( ( sK1_JOIN @ sK5_SX0 @ sK6_SY182 )
!= sK3_SY69 )
| ( ( sK2_SY35 @ sK5_SX0 @ sK6_SY182 )
!= sK4_SY102 ) )
| ( ( sK1_JOIN @ sK5_SX0 @ sK8_SY184 )
!= sK3_SY69 ) )
| ( ( sK2_SY35 @ sK5_SX0 @ sK8_SY184 )
!= sK4_SY102 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[80]) ).
thf(84,plain,
! [SV15: a] :
( ( ( sK1_JOIN @ SV15 @ ( sK7_SY177 @ SV15 ) )
= sK3_SY69 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[81]) ).
thf(85,plain,
! [SV15: a] :
( ( ( sK2_SY35 @ SV15 @ ( sK7_SY177 @ SV15 ) )
= sK4_SY102 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[82]) ).
thf(86,plain,
( ( ~ ~ ( ~ ~ ( ( ( sK1_JOIN @ sK5_SX0 @ sK6_SY182 )
!= sK3_SY69 )
| ( ( sK2_SY35 @ sK5_SX0 @ sK6_SY182 )
!= sK4_SY102 ) )
| ( ( sK1_JOIN @ sK5_SX0 @ sK8_SY184 )
!= sK3_SY69 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[83]) ).
thf(87,plain,
( ( ( sK2_SY35 @ sK5_SX0 @ sK8_SY184 )
!= sK4_SY102 )
= $false ),
inference(extcnf_or_neg,[status(thm)],[83]) ).
thf(88,plain,
( ( ~ ( ~ ~ ( ( ( sK1_JOIN @ sK5_SX0 @ sK6_SY182 )
!= sK3_SY69 )
| ( ( sK2_SY35 @ sK5_SX0 @ sK6_SY182 )
!= sK4_SY102 ) )
| ( ( sK1_JOIN @ sK5_SX0 @ sK8_SY184 )
!= sK3_SY69 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[86]) ).
thf(89,plain,
( ( ( sK2_SY35 @ sK5_SX0 @ sK8_SY184 )
= sK4_SY102 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[87]) ).
thf(90,plain,
( ( ~ ~ ( ( ( sK1_JOIN @ sK5_SX0 @ sK6_SY182 )
!= sK3_SY69 )
| ( ( sK2_SY35 @ sK5_SX0 @ sK6_SY182 )
!= sK4_SY102 ) )
| ( ( sK1_JOIN @ sK5_SX0 @ sK8_SY184 )
!= sK3_SY69 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[88]) ).
thf(91,plain,
( ( ~ ~ ( ( ( sK1_JOIN @ sK5_SX0 @ sK6_SY182 )
!= sK3_SY69 )
| ( ( sK2_SY35 @ sK5_SX0 @ sK6_SY182 )
!= sK4_SY102 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[90]) ).
thf(92,plain,
( ( ( sK1_JOIN @ sK5_SX0 @ sK8_SY184 )
!= sK3_SY69 )
= $false ),
inference(extcnf_or_neg,[status(thm)],[90]) ).
thf(93,plain,
( ( ~ ( ( ( sK1_JOIN @ sK5_SX0 @ sK6_SY182 )
!= sK3_SY69 )
| ( ( sK2_SY35 @ sK5_SX0 @ sK6_SY182 )
!= sK4_SY102 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[91]) ).
thf(94,plain,
( ( ( sK1_JOIN @ sK5_SX0 @ sK8_SY184 )
= sK3_SY69 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[92]) ).
thf(95,plain,
( ( ( ( sK1_JOIN @ sK5_SX0 @ sK6_SY182 )
!= sK3_SY69 )
| ( ( sK2_SY35 @ sK5_SX0 @ sK6_SY182 )
!= sK4_SY102 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[93]) ).
thf(96,plain,
( ( ( sK1_JOIN @ sK5_SX0 @ sK6_SY182 )
!= sK3_SY69 )
= $false ),
inference(extcnf_or_neg,[status(thm)],[95]) ).
thf(97,plain,
( ( ( sK2_SY35 @ sK5_SX0 @ sK6_SY182 )
!= sK4_SY102 )
= $false ),
inference(extcnf_or_neg,[status(thm)],[95]) ).
thf(98,plain,
( ( ( sK1_JOIN @ sK5_SX0 @ sK6_SY182 )
= sK3_SY69 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[96]) ).
thf(99,plain,
( ( ( sK2_SY35 @ sK5_SX0 @ sK6_SY182 )
= sK4_SY102 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[97]) ).
thf(100,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[43,99,98,94,89,85,84,78,72,71,70,69,64,63,62,61,56,55,46,45,44]) ).
thf(101,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[100]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU997^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.18 % Computer : n018.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Oct 6 15:41:37 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.00/0.77
% 3.00/0.77 No.of.Axioms: 0
% 3.00/0.77
% 3.00/0.77 Length.of.Defs: 0
% 3.00/0.77
% 3.00/0.77 Contains.Choice.Funs: false
% 3.00/0.77 .....
% 3.00/0.77
% 3.00/0.77 ********************************
% 3.00/0.77 * All subproblems solved! *
% 3.00/0.77 ********************************
% 3.00/0.77 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:15,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:100,loop_count:0,foatp_calls:1,translation:fof_full)
% 3.00/0.77
% 3.00/0.77 %**** Beginning of derivation protocol ****
% 3.00/0.77 % SZS output start CNFRefutation
% See solution above
% 3.00/0.77
% 3.00/0.77 %**** End of derivation protocol ****
% 3.00/0.77 %**** no. of clauses in derivation: 101 ****
% 3.00/0.77 %**** clause counter: 100 ****
% 3.00/0.77
% 3.00/0.77 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:15,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:100,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------