%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : SEV063^5 : 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 : n007.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 10:49:28 AM UTC 2026
% Result : Theorem 0.48s 0.33s
% Output : CNFRefutation 0.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 1
% Syntax : Number of formulae : 112 ( 35 unt; 0 typ; 0 def)
% Number of atoms : 638 ( 251 equ; 0 cnn)
% Maximal formula atoms : 3 ( 5 avg)
% Number of connectives : 2232 ( 367 ~; 309 |; 63 &;1402 @)
% ( 0 <=>; 91 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 3 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 210 ( 210 >; 0 *; 0 +; 0 <<)
% Number of symbols : 24 ( 21 usr; 5 con; 0-2 aty)
% Number of variables : 461 ( 0 ^; 461 !; 0 ?; 461 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a,type,
a: $tType ).
thf(tp_sK10_SY102,type,
sK10_SY102: ( a > a > $o ) > a ).
thf(tp_sK11_SY107,type,
sK11_SY107: ( a > a > $o ) > a ).
thf(tp_sK12_SY102,type,
sK12_SY102: ( a > a > $o ) > a ).
thf(tp_sK13_SY121,type,
sK13_SY121: ( a > a > $o ) > a ).
thf(tp_sK14_SY107,type,
sK14_SY107: ( a > a > $o ) > a ).
thf(tp_sK15_SY123,type,
sK15_SY123: ( a > a > $o ) > a ).
thf(tp_sK16_SY125,type,
sK16_SY125: ( a > a > $o ) > a ).
thf(tp_sK17_SY127,type,
sK17_SY127: ( a > a > $o ) > a ).
thf(tp_sK18_SY128,type,
sK18_SY128: ( a > a > $o ) > a ).
thf(tp_sK19_SY130,type,
sK19_SY130: ( a > a > $o ) > a ).
thf(tp_sK1_Xr,type,
sK1_Xr: a > a > $o ).
thf(tp_sK20_SY131,type,
sK20_SY131: ( a > a > $o ) > a ).
thf(tp_sK21_SY132,type,
sK21_SY132: ( a > a > $o ) > a ).
thf(tp_sK2_SY22,type,
sK2_SY22: a ).
thf(tp_sK3_SY43,type,
sK3_SY43: a ).
thf(tp_sK4_SY63,type,
sK4_SY63: a ).
thf(tp_sK5_SX0,type,
sK5_SX0: a > a > $o ).
thf(tp_sK6_SY100,type,
sK6_SY100: ( a > a > $o ) > a ).
thf(tp_sK7_SY105,type,
sK7_SY105: ( a > a > $o ) > a ).
thf(tp_sK8_SY115,type,
sK8_SY115: ( a > a > $o ) > a ).
thf(tp_sK9_SY116,type,
sK9_SY116: ( a > a > $o ) > a ).
thf(1,conjecture,
! [Xr: a > a > $o,Xx: a,Xy: a,Xz: a] :
( ( ! [Xp: a > a > $o] :
( ( ! [Xx0: a,Xy0: a] :
( ( Xr @ Xx0 @ Xy0 )
=> ( Xp @ Xx0 @ Xy0 ) )
& ! [Xx0: a,Xy0: a,Xz0: a] :
( ( ( Xp @ Xx0 @ Xy0 )
& ( Xp @ Xy0 @ Xz0 ) )
=> ( Xp @ Xx0 @ Xz0 ) ) )
=> ( Xp @ Xx @ Xy ) )
& ! [Xp: a > a > $o] :
( ( ! [Xx0: a,Xy0: a] :
( ( Xr @ Xx0 @ Xy0 )
=> ( Xp @ Xx0 @ Xy0 ) )
& ! [Xx0: a,Xy0: a,Xz0: a] :
( ( ( Xp @ Xx0 @ Xy0 )
& ( Xp @ Xy0 @ Xz0 ) )
=> ( Xp @ Xx0 @ Xz0 ) ) )
=> ( Xp @ Xy @ Xz ) ) )
=> ! [Xp: a > a > $o] :
( ( ! [Xx0: a,Xy0: a] :
( ( Xr @ Xx0 @ Xy0 )
=> ( Xp @ Xx0 @ Xy0 ) )
& ! [Xx0: a,Xy0: a,Xz0: a] :
( ( ( Xp @ Xx0 @ Xy0 )
& ( Xp @ Xy0 @ Xz0 ) )
=> ( Xp @ Xx0 @ Xz0 ) ) )
=> ( Xp @ Xx @ Xz ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM136_pme) ).
thf(2,negated_conjecture,
( ( ! [Xr: a > a > $o,Xx: a,Xy: a,Xz: a] :
( ( ! [Xp: a > a > $o] :
( ( ! [Xx0: a,Xy0: a] :
( ( Xr @ Xx0 @ Xy0 )
=> ( Xp @ Xx0 @ Xy0 ) )
& ! [Xx0: a,Xy0: a,Xz0: a] :
( ( ( Xp @ Xx0 @ Xy0 )
& ( Xp @ Xy0 @ Xz0 ) )
=> ( Xp @ Xx0 @ Xz0 ) ) )
=> ( Xp @ Xx @ Xy ) )
& ! [Xp: a > a > $o] :
( ( ! [Xx0: a,Xy0: a] :
( ( Xr @ Xx0 @ Xy0 )
=> ( Xp @ Xx0 @ Xy0 ) )
& ! [Xx0: a,Xy0: a,Xz0: a] :
( ( ( Xp @ Xx0 @ Xy0 )
& ( Xp @ Xy0 @ Xz0 ) )
=> ( Xp @ Xx0 @ Xz0 ) ) )
=> ( Xp @ Xy @ Xz ) ) )
=> ! [Xp: a > a > $o] :
( ( ! [Xx0: a,Xy0: a] :
( ( Xr @ Xx0 @ Xy0 )
=> ( Xp @ Xx0 @ Xy0 ) )
& ! [Xx0: a,Xy0: a,Xz0: a] :
( ( ( Xp @ Xx0 @ Xy0 )
& ( Xp @ Xy0 @ Xz0 ) )
=> ( Xp @ Xx0 @ Xz0 ) ) )
=> ( Xp @ Xx @ Xz ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ! [Xr: a > a > $o,Xx: a,Xy: a,Xz: a] :
( ( ! [Xp: a > a > $o] :
( ( ! [Xx0: a,Xy0: a] :
( ( Xr @ Xx0 @ Xy0 )
=> ( Xp @ Xx0 @ Xy0 ) )
& ! [Xx0: a,Xy0: a,Xz0: a] :
( ( ( Xp @ Xx0 @ Xy0 )
& ( Xp @ Xy0 @ Xz0 ) )
=> ( Xp @ Xx0 @ Xz0 ) ) )
=> ( Xp @ Xx @ Xy ) )
& ! [Xp: a > a > $o] :
( ( ! [Xx0: a,Xy0: a] :
( ( Xr @ Xx0 @ Xy0 )
=> ( Xp @ Xx0 @ Xy0 ) )
& ! [Xx0: a,Xy0: a,Xz0: a] :
( ( ( Xp @ Xx0 @ Xy0 )
& ( Xp @ Xy0 @ Xz0 ) )
=> ( Xp @ Xx0 @ Xz0 ) ) )
=> ( Xp @ Xy @ Xz ) ) )
=> ! [Xp: a > a > $o] :
( ( ! [Xx0: a,Xy0: a] :
( ( Xr @ Xx0 @ Xy0 )
=> ( Xp @ Xx0 @ Xy0 ) )
& ! [Xx0: a,Xy0: a,Xz0: a] :
( ( ( Xp @ Xx0 @ Xy0 )
& ( Xp @ Xy0 @ Xz0 ) )
=> ( Xp @ Xx0 @ Xz0 ) ) )
=> ( Xp @ Xx @ Xz ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ! [SY22: a,SY23: a,SY24: a] :
( ( ! [SY25: a > a > $o] :
( ( ! [SY26: a,SY27: a] :
( ( sK1_Xr @ SY26 @ SY27 )
=> ( SY25 @ SY26 @ SY27 ) )
& ! [Xx0: a,Xy0: a,Xz0: a] :
( ( ( SY25 @ Xx0 @ Xy0 )
& ( SY25 @ Xy0 @ Xz0 ) )
=> ( SY25 @ Xx0 @ Xz0 ) ) )
=> ( SY25 @ SY22 @ SY23 ) )
& ! [SY31: a > a > $o] :
( ( ! [SY32: a,SY33: a] :
( ( sK1_Xr @ SY32 @ SY33 )
=> ( SY31 @ SY32 @ SY33 ) )
& ! [Xx0: a,Xy0: a,Xz0: a] :
( ( ( SY31 @ Xx0 @ Xy0 )
& ( SY31 @ Xy0 @ Xz0 ) )
=> ( SY31 @ Xx0 @ Xz0 ) ) )
=> ( SY31 @ SY23 @ SY24 ) ) )
=> ! [SY37: a > a > $o] :
( ( ! [SY38: a,SY39: a] :
( ( sK1_Xr @ SY38 @ SY39 )
=> ( SY37 @ SY38 @ SY39 ) )
& ! [Xx0: a,Xy0: a,Xz0: a] :
( ( ( SY37 @ Xx0 @ Xy0 )
& ( SY37 @ Xy0 @ Xz0 ) )
=> ( SY37 @ Xx0 @ Xz0 ) ) )
=> ( SY37 @ SY22 @ SY24 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[3]) ).
thf(5,plain,
( ( ! [SY43: a,SY44: a] :
( ( ! [SY45: a > a > $o] :
( ( ! [SY26: a,SY27: a] :
( ( sK1_Xr @ SY26 @ SY27 )
=> ( SY45 @ SY26 @ SY27 ) )
& ! [Xx0: a,Xy0: a,Xz0: a] :
( ( ( SY45 @ Xx0 @ Xy0 )
& ( SY45 @ Xy0 @ Xz0 ) )
=> ( SY45 @ Xx0 @ Xz0 ) ) )
=> ( SY45 @ sK2_SY22 @ SY43 ) )
& ! [SY31: a > a > $o] :
( ( ! [SY32: a,SY33: a] :
( ( sK1_Xr @ SY32 @ SY33 )
=> ( SY31 @ SY32 @ SY33 ) )
& ! [Xx0: a,Xy0: a,Xz0: a] :
( ( ( SY31 @ Xx0 @ Xy0 )
& ( SY31 @ Xy0 @ Xz0 ) )
=> ( SY31 @ Xx0 @ Xz0 ) ) )
=> ( SY31 @ SY43 @ SY44 ) ) )
=> ! [SY57: a > a > $o] :
( ( ! [SY38: a,SY39: a] :
( ( sK1_Xr @ SY38 @ SY39 )
=> ( SY57 @ SY38 @ SY39 ) )
& ! [Xx0: a,Xy0: a,Xz0: a] :
( ( ( SY57 @ Xx0 @ Xy0 )
& ( SY57 @ Xy0 @ Xz0 ) )
=> ( SY57 @ Xx0 @ Xz0 ) ) )
=> ( SY57 @ sK2_SY22 @ SY44 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[4]) ).
thf(6,plain,
( ( ! [SY63: a] :
( ( ! [SY64: a > a > $o] :
( ( ! [SY26: a,SY27: a] :
( ( sK1_Xr @ SY26 @ SY27 )
=> ( SY64 @ SY26 @ SY27 ) )
& ! [Xx0: a,Xy0: a,Xz0: a] :
( ( ( SY64 @ Xx0 @ Xy0 )
& ( SY64 @ Xy0 @ Xz0 ) )
=> ( SY64 @ Xx0 @ Xz0 ) ) )
=> ( SY64 @ sK2_SY22 @ sK3_SY43 ) )
& ! [SY70: a > a > $o] :
( ( ! [SY32: a,SY33: a] :
( ( sK1_Xr @ SY32 @ SY33 )
=> ( SY70 @ SY32 @ SY33 ) )
& ! [Xx0: a,Xy0: a,Xz0: a] :
( ( ( SY70 @ Xx0 @ Xy0 )
& ( SY70 @ Xy0 @ Xz0 ) )
=> ( SY70 @ Xx0 @ Xz0 ) ) )
=> ( SY70 @ sK3_SY43 @ SY63 ) ) )
=> ! [SY57: a > a > $o] :
( ( ! [SY38: a,SY39: a] :
( ( sK1_Xr @ SY38 @ SY39 )
=> ( SY57 @ SY38 @ SY39 ) )
& ! [Xx0: a,Xy0: a,Xz0: a] :
( ( ( SY57 @ Xx0 @ Xy0 )
& ( SY57 @ Xy0 @ Xz0 ) )
=> ( SY57 @ Xx0 @ Xz0 ) ) )
=> ( SY57 @ sK2_SY22 @ SY63 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[5]) ).
thf(7,plain,
( ( ( ! [SY64: a > a > $o] :
( ( ! [SY26: a,SY27: a] :
( ( sK1_Xr @ SY26 @ SY27 )
=> ( SY64 @ SY26 @ SY27 ) )
& ! [Xx0: a,Xy0: a,Xz0: a] :
( ( ( SY64 @ Xx0 @ Xy0 )
& ( SY64 @ Xy0 @ Xz0 ) )
=> ( SY64 @ Xx0 @ Xz0 ) ) )
=> ( SY64 @ sK2_SY22 @ sK3_SY43 ) )
& ! [SY88: a > a > $o] :
( ( ! [SY32: a,SY33: a] :
( ( sK1_Xr @ SY32 @ SY33 )
=> ( SY88 @ SY32 @ SY33 ) )
& ! [Xx0: a,Xy0: a,Xz0: a] :
( ( ( SY88 @ Xx0 @ Xy0 )
& ( SY88 @ Xy0 @ Xz0 ) )
=> ( SY88 @ Xx0 @ Xz0 ) ) )
=> ( SY88 @ sK3_SY43 @ sK4_SY63 ) ) )
=> ! [SY94: a > a > $o] :
( ( ! [SY38: a,SY39: a] :
( ( sK1_Xr @ SY38 @ SY39 )
=> ( SY94 @ SY38 @ SY39 ) )
& ! [Xx0: a,Xy0: a,Xz0: a] :
( ( ( SY94 @ Xx0 @ Xy0 )
& ( SY94 @ Xy0 @ Xz0 ) )
=> ( SY94 @ Xx0 @ Xz0 ) ) )
=> ( SY94 @ sK2_SY22 @ sK4_SY63 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[6]) ).
thf(8,plain,
( ( ! [SY64: a > a > $o] :
( ( ! [SY26: a,SY27: a] :
( ( sK1_Xr @ SY26 @ SY27 )
=> ( SY64 @ SY26 @ SY27 ) )
& ! [Xx0: a,Xy0: a,Xz0: a] :
( ( ( SY64 @ Xx0 @ Xy0 )
& ( SY64 @ Xy0 @ Xz0 ) )
=> ( SY64 @ Xx0 @ Xz0 ) ) )
=> ( SY64 @ sK2_SY22 @ sK3_SY43 ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[7]) ).
thf(9,plain,
( ( ! [SY88: a > a > $o] :
( ( ! [SY32: a,SY33: a] :
( ( sK1_Xr @ SY32 @ SY33 )
=> ( SY88 @ SY32 @ SY33 ) )
& ! [Xx0: a,Xy0: a,Xz0: a] :
( ( ( SY88 @ Xx0 @ Xy0 )
& ( SY88 @ Xy0 @ Xz0 ) )
=> ( SY88 @ Xx0 @ Xz0 ) ) )
=> ( SY88 @ sK3_SY43 @ sK4_SY63 ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[7]) ).
thf(10,plain,
( ( ! [SY94: a > a > $o] :
( ( ! [SY38: a,SY39: a] :
( ( sK1_Xr @ SY38 @ SY39 )
=> ( SY94 @ SY38 @ SY39 ) )
& ! [Xx0: a,Xy0: a,Xz0: a] :
( ( ( SY94 @ Xx0 @ Xy0 )
& ( SY94 @ Xy0 @ Xz0 ) )
=> ( SY94 @ Xx0 @ Xz0 ) ) )
=> ( SY94 @ sK2_SY22 @ sK4_SY63 ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[7]) ).
thf(11,plain,
( ( ~ ! [SY94: a > a > $o] :
( ( ! [SY38: a,SY39: a] :
( ( sK1_Xr @ SY38 @ SY39 )
=> ( SY94 @ SY38 @ SY39 ) )
& ! [Xx0: a,Xy0: a,Xz0: a] :
( ( ( SY94 @ Xx0 @ Xy0 )
& ( SY94 @ Xy0 @ Xz0 ) )
=> ( SY94 @ Xx0 @ Xz0 ) ) )
=> ( SY94 @ sK2_SY22 @ sK4_SY63 ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[10]) ).
thf(12,plain,
( ( ! [SY88: a > a > $o] :
( ( ! [SY32: a,SY33: a] :
( ( sK1_Xr @ SY32 @ SY33 )
=> ( SY88 @ SY32 @ SY33 ) )
& ! [Xx0: a,Xy0: a,Xz0: a] :
( ( ( SY88 @ Xx0 @ Xy0 )
& ( SY88 @ Xy0 @ Xz0 ) )
=> ( SY88 @ Xx0 @ Xz0 ) ) )
=> ( SY88 @ sK3_SY43 @ sK4_SY63 ) ) )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(13,plain,
( ( ! [SY64: a > a > $o] :
( ( ! [SY26: a,SY27: a] :
( ( sK1_Xr @ SY26 @ SY27 )
=> ( SY64 @ SY26 @ SY27 ) )
& ! [Xx0: a,Xy0: a,Xz0: a] :
( ( ( SY64 @ Xx0 @ Xy0 )
& ( SY64 @ Xy0 @ Xz0 ) )
=> ( SY64 @ Xx0 @ Xz0 ) ) )
=> ( SY64 @ sK2_SY22 @ sK3_SY43 ) ) )
= $true ),
inference(copy,[status(thm)],[8]) ).
thf(14,plain,
( ( ~ ! [SY94: a > a > $o] :
( ( ! [SY38: a,SY39: a] :
( ( sK1_Xr @ SY38 @ SY39 )
=> ( SY94 @ SY38 @ SY39 ) )
& ! [Xx0: a,Xy0: a,Xz0: a] :
( ( ( SY94 @ Xx0 @ Xy0 )
& ( SY94 @ Xy0 @ Xz0 ) )
=> ( SY94 @ Xx0 @ Xz0 ) ) )
=> ( SY94 @ sK2_SY22 @ sK4_SY63 ) ) )
= $true ),
inference(copy,[status(thm)],[11]) ).
thf(15,plain,
( ( ~ ! [SX0: a > a > $o] :
( ~ ~ ( ~ ! [SX1: a,SX2: a] :
( ~ ( sK1_Xr @ SX1 @ SX2 )
| ( SX0 @ SX1 @ SX2 ) )
| ~ ! [SX1: a,SX2: a,SX3: a] :
( ~ ~ ( ~ ( SX0 @ SX1 @ SX2 )
| ~ ( SX0 @ SX2 @ SX3 ) )
| ( SX0 @ SX1 @ SX3 ) ) )
| ( SX0 @ sK2_SY22 @ sK4_SY63 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(16,plain,
( ( ! [SX0: a > a > $o] :
( ~ ~ ( ~ ! [SX1: a,SX2: a] :
( ~ ( sK1_Xr @ SX1 @ SX2 )
| ( SX0 @ SX1 @ SX2 ) )
| ~ ! [SX1: a,SX2: a,SX3: a] :
( ~ ~ ( ~ ( SX0 @ SX1 @ SX2 )
| ~ ( SX0 @ SX2 @ SX3 ) )
| ( SX0 @ SX1 @ SX3 ) ) )
| ( SX0 @ sK2_SY22 @ sK3_SY43 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(17,plain,
( ( ! [SX0: a > a > $o] :
( ~ ~ ( ~ ! [SX1: a,SX2: a] :
( ~ ( sK1_Xr @ SX1 @ SX2 )
| ( SX0 @ SX1 @ SX2 ) )
| ~ ! [SX1: a,SX2: a,SX3: a] :
( ~ ~ ( ~ ( SX0 @ SX1 @ SX2 )
| ~ ( SX0 @ SX2 @ SX3 ) )
| ( SX0 @ SX1 @ SX3 ) ) )
| ( SX0 @ sK3_SY43 @ sK4_SY63 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(18,plain,
( ( ! [SX0: a > a > $o] :
( ~ ~ ( ~ ! [SX1: a,SX2: a] :
( ~ ( sK1_Xr @ SX1 @ SX2 )
| ( SX0 @ SX1 @ SX2 ) )
| ~ ! [SX1: a,SX2: a,SX3: a] :
( ~ ~ ( ~ ( SX0 @ SX1 @ SX2 )
| ~ ( SX0 @ SX2 @ SX3 ) )
| ( SX0 @ SX1 @ SX3 ) ) )
| ( SX0 @ sK2_SY22 @ sK4_SY63 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[15]) ).
thf(19,plain,
! [SV1: a > a > $o] :
( ( ~ ~ ( ~ ! [SY100: a,SY101: a] :
( ~ ( sK1_Xr @ SY100 @ SY101 )
| ( SV1 @ SY100 @ SY101 ) )
| ~ ! [SY102: a,SY103: a,SY104: a] :
( ~ ~ ( ~ ( SV1 @ SY102 @ SY103 )
| ~ ( SV1 @ SY103 @ SY104 ) )
| ( SV1 @ SY102 @ SY104 ) ) )
| ( SV1 @ sK2_SY22 @ sK3_SY43 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[16]) ).
thf(20,plain,
! [SV2: a > a > $o] :
( ( ~ ~ ( ~ ! [SY105: a,SY106: a] :
( ~ ( sK1_Xr @ SY105 @ SY106 )
| ( SV2 @ SY105 @ SY106 ) )
| ~ ! [SY107: a,SY108: a,SY109: a] :
( ~ ~ ( ~ ( SV2 @ SY107 @ SY108 )
| ~ ( SV2 @ SY108 @ SY109 ) )
| ( SV2 @ SY107 @ SY109 ) ) )
| ( SV2 @ sK3_SY43 @ sK4_SY63 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[17]) ).
thf(21,plain,
( ( ~ ~ ( ~ ! [SY110: a,SY111: a] :
( ~ ( sK1_Xr @ SY110 @ SY111 )
| ( sK5_SX0 @ SY110 @ SY111 ) )
| ~ ! [SY112: a,SY113: a,SY114: a] :
( ~ ~ ( ~ ( sK5_SX0 @ SY112 @ SY113 )
| ~ ( sK5_SX0 @ SY113 @ SY114 ) )
| ( sK5_SX0 @ SY112 @ SY114 ) ) )
| ( sK5_SX0 @ sK2_SY22 @ sK4_SY63 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[18]) ).
thf(22,plain,
! [SV1: a > a > $o] :
( ( ( ~ ~ ( ~ ! [SY100: a,SY101: a] :
( ~ ( sK1_Xr @ SY100 @ SY101 )
| ( SV1 @ SY100 @ SY101 ) )
| ~ ! [SY102: a,SY103: a,SY104: a] :
( ~ ~ ( ~ ( SV1 @ SY102 @ SY103 )
| ~ ( SV1 @ SY103 @ SY104 ) )
| ( SV1 @ SY102 @ SY104 ) ) ) )
= $true )
| ( ( SV1 @ sK2_SY22 @ sK3_SY43 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[19]) ).
thf(23,plain,
! [SV2: a > a > $o] :
( ( ( ~ ~ ( ~ ! [SY105: a,SY106: a] :
( ~ ( sK1_Xr @ SY105 @ SY106 )
| ( SV2 @ SY105 @ SY106 ) )
| ~ ! [SY107: a,SY108: a,SY109: a] :
( ~ ~ ( ~ ( SV2 @ SY107 @ SY108 )
| ~ ( SV2 @ SY108 @ SY109 ) )
| ( SV2 @ SY107 @ SY109 ) ) ) )
= $true )
| ( ( SV2 @ sK3_SY43 @ sK4_SY63 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[20]) ).
thf(24,plain,
( ( ~ ~ ( ~ ! [SY110: a,SY111: a] :
( ~ ( sK1_Xr @ SY110 @ SY111 )
| ( sK5_SX0 @ SY110 @ SY111 ) )
| ~ ! [SY112: a,SY113: a,SY114: a] :
( ~ ~ ( ~ ( sK5_SX0 @ SY112 @ SY113 )
| ~ ( sK5_SX0 @ SY113 @ SY114 ) )
| ( sK5_SX0 @ SY112 @ SY114 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[21]) ).
thf(25,plain,
( ( sK5_SX0 @ sK2_SY22 @ sK4_SY63 )
= $false ),
inference(extcnf_or_neg,[status(thm)],[21]) ).
thf(26,plain,
! [SV1: a > a > $o] :
( ( ( ~ ( ~ ! [SY100: a,SY101: a] :
( ~ ( sK1_Xr @ SY100 @ SY101 )
| ( SV1 @ SY100 @ SY101 ) )
| ~ ! [SY102: a,SY103: a,SY104: a] :
( ~ ~ ( ~ ( SV1 @ SY102 @ SY103 )
| ~ ( SV1 @ SY103 @ SY104 ) )
| ( SV1 @ SY102 @ SY104 ) ) ) )
= $false )
| ( ( SV1 @ sK2_SY22 @ sK3_SY43 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[22]) ).
thf(27,plain,
! [SV2: a > a > $o] :
( ( ( ~ ( ~ ! [SY105: a,SY106: a] :
( ~ ( sK1_Xr @ SY105 @ SY106 )
| ( SV2 @ SY105 @ SY106 ) )
| ~ ! [SY107: a,SY108: a,SY109: a] :
( ~ ~ ( ~ ( SV2 @ SY107 @ SY108 )
| ~ ( SV2 @ SY108 @ SY109 ) )
| ( SV2 @ SY107 @ SY109 ) ) ) )
= $false )
| ( ( SV2 @ sK3_SY43 @ sK4_SY63 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[23]) ).
thf(28,plain,
( ( ~ ( ~ ! [SY110: a,SY111: a] :
( ~ ( sK1_Xr @ SY110 @ SY111 )
| ( sK5_SX0 @ SY110 @ SY111 ) )
| ~ ! [SY112: a,SY113: a,SY114: a] :
( ~ ~ ( ~ ( sK5_SX0 @ SY112 @ SY113 )
| ~ ( sK5_SX0 @ SY113 @ SY114 ) )
| ( sK5_SX0 @ SY112 @ SY114 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[24]) ).
thf(29,plain,
! [SV1: a > a > $o] :
( ( ( ~ ! [SY100: a,SY101: a] :
( ~ ( sK1_Xr @ SY100 @ SY101 )
| ( SV1 @ SY100 @ SY101 ) )
| ~ ! [SY102: a,SY103: a,SY104: a] :
( ~ ~ ( ~ ( SV1 @ SY102 @ SY103 )
| ~ ( SV1 @ SY103 @ SY104 ) )
| ( SV1 @ SY102 @ SY104 ) ) )
= $true )
| ( ( SV1 @ sK2_SY22 @ sK3_SY43 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[26]) ).
thf(30,plain,
! [SV2: a > a > $o] :
( ( ( ~ ! [SY105: a,SY106: a] :
( ~ ( sK1_Xr @ SY105 @ SY106 )
| ( SV2 @ SY105 @ SY106 ) )
| ~ ! [SY107: a,SY108: a,SY109: a] :
( ~ ~ ( ~ ( SV2 @ SY107 @ SY108 )
| ~ ( SV2 @ SY108 @ SY109 ) )
| ( SV2 @ SY107 @ SY109 ) ) )
= $true )
| ( ( SV2 @ sK3_SY43 @ sK4_SY63 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[27]) ).
thf(31,plain,
( ( ~ ! [SY110: a,SY111: a] :
( ~ ( sK1_Xr @ SY110 @ SY111 )
| ( sK5_SX0 @ SY110 @ SY111 ) )
| ~ ! [SY112: a,SY113: a,SY114: a] :
( ~ ~ ( ~ ( sK5_SX0 @ SY112 @ SY113 )
| ~ ( sK5_SX0 @ SY113 @ SY114 ) )
| ( sK5_SX0 @ SY112 @ SY114 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[28]) ).
thf(32,plain,
! [SV1: a > a > $o] :
( ( ( ~ ! [SY100: a,SY101: a] :
( ~ ( sK1_Xr @ SY100 @ SY101 )
| ( SV1 @ SY100 @ SY101 ) ) )
= $true )
| ( ( ~ ! [SY102: a,SY103: a,SY104: a] :
( ~ ~ ( ~ ( SV1 @ SY102 @ SY103 )
| ~ ( SV1 @ SY103 @ SY104 ) )
| ( SV1 @ SY102 @ SY104 ) ) )
= $true )
| ( ( SV1 @ sK2_SY22 @ sK3_SY43 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[29]) ).
thf(33,plain,
! [SV2: a > a > $o] :
( ( ( ~ ! [SY105: a,SY106: a] :
( ~ ( sK1_Xr @ SY105 @ SY106 )
| ( SV2 @ SY105 @ SY106 ) ) )
= $true )
| ( ( ~ ! [SY107: a,SY108: a,SY109: a] :
( ~ ~ ( ~ ( SV2 @ SY107 @ SY108 )
| ~ ( SV2 @ SY108 @ SY109 ) )
| ( SV2 @ SY107 @ SY109 ) ) )
= $true )
| ( ( SV2 @ sK3_SY43 @ sK4_SY63 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[30]) ).
thf(34,plain,
( ( ~ ! [SY110: a,SY111: a] :
( ~ ( sK1_Xr @ SY110 @ SY111 )
| ( sK5_SX0 @ SY110 @ SY111 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[31]) ).
thf(35,plain,
( ( ~ ! [SY112: a,SY113: a,SY114: a] :
( ~ ~ ( ~ ( sK5_SX0 @ SY112 @ SY113 )
| ~ ( sK5_SX0 @ SY113 @ SY114 ) )
| ( sK5_SX0 @ SY112 @ SY114 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[31]) ).
thf(36,plain,
! [SV1: a > a > $o] :
( ( ( ! [SY100: a,SY101: a] :
( ~ ( sK1_Xr @ SY100 @ SY101 )
| ( SV1 @ SY100 @ SY101 ) ) )
= $false )
| ( ( ~ ! [SY102: a,SY103: a,SY104: a] :
( ~ ~ ( ~ ( SV1 @ SY102 @ SY103 )
| ~ ( SV1 @ SY103 @ SY104 ) )
| ( SV1 @ SY102 @ SY104 ) ) )
= $true )
| ( ( SV1 @ sK2_SY22 @ sK3_SY43 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[32]) ).
thf(37,plain,
! [SV2: a > a > $o] :
( ( ( ! [SY105: a,SY106: a] :
( ~ ( sK1_Xr @ SY105 @ SY106 )
| ( SV2 @ SY105 @ SY106 ) ) )
= $false )
| ( ( ~ ! [SY107: a,SY108: a,SY109: a] :
( ~ ~ ( ~ ( SV2 @ SY107 @ SY108 )
| ~ ( SV2 @ SY108 @ SY109 ) )
| ( SV2 @ SY107 @ SY109 ) ) )
= $true )
| ( ( SV2 @ sK3_SY43 @ sK4_SY63 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[33]) ).
thf(38,plain,
( ( ! [SY110: a,SY111: a] :
( ~ ( sK1_Xr @ SY110 @ SY111 )
| ( sK5_SX0 @ SY110 @ SY111 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[34]) ).
thf(39,plain,
( ( ! [SY112: a,SY113: a,SY114: a] :
( ~ ~ ( ~ ( sK5_SX0 @ SY112 @ SY113 )
| ~ ( sK5_SX0 @ SY113 @ SY114 ) )
| ( sK5_SX0 @ SY112 @ SY114 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[35]) ).
thf(40,plain,
! [SV1: a > a > $o] :
( ( ( ! [SY115: a] :
( ~ ( sK1_Xr @ ( sK6_SY100 @ SV1 ) @ SY115 )
| ( SV1 @ ( sK6_SY100 @ SV1 ) @ SY115 ) ) )
= $false )
| ( ( ~ ! [SY102: a,SY103: a,SY104: a] :
( ~ ~ ( ~ ( SV1 @ SY102 @ SY103 )
| ~ ( SV1 @ SY103 @ SY104 ) )
| ( SV1 @ SY102 @ SY104 ) ) )
= $true )
| ( ( SV1 @ sK2_SY22 @ sK3_SY43 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[36]) ).
thf(41,plain,
! [SV2: a > a > $o] :
( ( ( ! [SY116: a] :
( ~ ( sK1_Xr @ ( sK7_SY105 @ SV2 ) @ SY116 )
| ( SV2 @ ( sK7_SY105 @ SV2 ) @ SY116 ) ) )
= $false )
| ( ( ~ ! [SY107: a,SY108: a,SY109: a] :
( ~ ~ ( ~ ( SV2 @ SY107 @ SY108 )
| ~ ( SV2 @ SY108 @ SY109 ) )
| ( SV2 @ SY107 @ SY109 ) ) )
= $true )
| ( ( SV2 @ sK3_SY43 @ sK4_SY63 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[37]) ).
thf(42,plain,
! [SV3: a] :
( ( ! [SY117: a] :
( ~ ( sK1_Xr @ SV3 @ SY117 )
| ( sK5_SX0 @ SV3 @ SY117 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[38]) ).
thf(43,plain,
! [SV4: a] :
( ( ! [SY118: a,SY119: a] :
( ~ ~ ( ~ ( sK5_SX0 @ SV4 @ SY118 )
| ~ ( sK5_SX0 @ SY118 @ SY119 ) )
| ( sK5_SX0 @ SV4 @ SY119 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[39]) ).
thf(44,plain,
! [SV1: a > a > $o] :
( ( ( ~ ( sK1_Xr @ ( sK6_SY100 @ SV1 ) @ ( sK8_SY115 @ SV1 ) )
| ( SV1 @ ( sK6_SY100 @ SV1 ) @ ( sK8_SY115 @ SV1 ) ) )
= $false )
| ( ( ~ ! [SY102: a,SY103: a,SY104: a] :
( ~ ~ ( ~ ( SV1 @ SY102 @ SY103 )
| ~ ( SV1 @ SY103 @ SY104 ) )
| ( SV1 @ SY102 @ SY104 ) ) )
= $true )
| ( ( SV1 @ sK2_SY22 @ sK3_SY43 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[40]) ).
thf(45,plain,
! [SV2: a > a > $o] :
( ( ( ~ ( sK1_Xr @ ( sK7_SY105 @ SV2 ) @ ( sK9_SY116 @ SV2 ) )
| ( SV2 @ ( sK7_SY105 @ SV2 ) @ ( sK9_SY116 @ SV2 ) ) )
= $false )
| ( ( ~ ! [SY107: a,SY108: a,SY109: a] :
( ~ ~ ( ~ ( SV2 @ SY107 @ SY108 )
| ~ ( SV2 @ SY108 @ SY109 ) )
| ( SV2 @ SY107 @ SY109 ) ) )
= $true )
| ( ( SV2 @ sK3_SY43 @ sK4_SY63 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[41]) ).
thf(46,plain,
! [SV5: a,SV3: a] :
( ( ~ ( sK1_Xr @ SV3 @ SV5 )
| ( sK5_SX0 @ SV3 @ SV5 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[42]) ).
thf(47,plain,
! [SV6: a,SV4: a] :
( ( ! [SY120: a] :
( ~ ~ ( ~ ( sK5_SX0 @ SV4 @ SV6 )
| ~ ( sK5_SX0 @ SV6 @ SY120 ) )
| ( sK5_SX0 @ SV4 @ SY120 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[43]) ).
thf(48,plain,
! [SV1: a > a > $o] :
( ( ( ~ ( sK1_Xr @ ( sK6_SY100 @ SV1 ) @ ( sK8_SY115 @ SV1 ) ) )
= $false )
| ( ( ~ ! [SY102: a,SY103: a,SY104: a] :
( ~ ~ ( ~ ( SV1 @ SY102 @ SY103 )
| ~ ( SV1 @ SY103 @ SY104 ) )
| ( SV1 @ SY102 @ SY104 ) ) )
= $true )
| ( ( SV1 @ sK2_SY22 @ sK3_SY43 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[44]) ).
thf(49,plain,
! [SV1: a > a > $o] :
( ( ( SV1 @ ( sK6_SY100 @ SV1 ) @ ( sK8_SY115 @ SV1 ) )
= $false )
| ( ( ~ ! [SY102: a,SY103: a,SY104: a] :
( ~ ~ ( ~ ( SV1 @ SY102 @ SY103 )
| ~ ( SV1 @ SY103 @ SY104 ) )
| ( SV1 @ SY102 @ SY104 ) ) )
= $true )
| ( ( SV1 @ sK2_SY22 @ sK3_SY43 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[44]) ).
thf(50,plain,
! [SV2: a > a > $o] :
( ( ( ~ ( sK1_Xr @ ( sK7_SY105 @ SV2 ) @ ( sK9_SY116 @ SV2 ) ) )
= $false )
| ( ( ~ ! [SY107: a,SY108: a,SY109: a] :
( ~ ~ ( ~ ( SV2 @ SY107 @ SY108 )
| ~ ( SV2 @ SY108 @ SY109 ) )
| ( SV2 @ SY107 @ SY109 ) ) )
= $true )
| ( ( SV2 @ sK3_SY43 @ sK4_SY63 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[45]) ).
thf(51,plain,
! [SV2: a > a > $o] :
( ( ( SV2 @ ( sK7_SY105 @ SV2 ) @ ( sK9_SY116 @ SV2 ) )
= $false )
| ( ( ~ ! [SY107: a,SY108: a,SY109: a] :
( ~ ~ ( ~ ( SV2 @ SY107 @ SY108 )
| ~ ( SV2 @ SY108 @ SY109 ) )
| ( SV2 @ SY107 @ SY109 ) ) )
= $true )
| ( ( SV2 @ sK3_SY43 @ sK4_SY63 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[45]) ).
thf(52,plain,
! [SV5: a,SV3: a] :
( ( ( ~ ( sK1_Xr @ SV3 @ SV5 ) )
= $true )
| ( ( sK5_SX0 @ SV3 @ SV5 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[46]) ).
thf(53,plain,
! [SV7: a,SV6: a,SV4: a] :
( ( ~ ~ ( ~ ( sK5_SX0 @ SV4 @ SV6 )
| ~ ( sK5_SX0 @ SV6 @ SV7 ) )
| ( sK5_SX0 @ SV4 @ SV7 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[47]) ).
thf(54,plain,
! [SV1: a > a > $o] :
( ( ( sK1_Xr @ ( sK6_SY100 @ SV1 ) @ ( sK8_SY115 @ SV1 ) )
= $true )
| ( ( ~ ! [SY102: a,SY103: a,SY104: a] :
( ~ ~ ( ~ ( SV1 @ SY102 @ SY103 )
| ~ ( SV1 @ SY103 @ SY104 ) )
| ( SV1 @ SY102 @ SY104 ) ) )
= $true )
| ( ( SV1 @ sK2_SY22 @ sK3_SY43 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[48]) ).
thf(55,plain,
! [SV1: a > a > $o] :
( ( ( ! [SY102: a,SY103: a,SY104: a] :
( ~ ~ ( ~ ( SV1 @ SY102 @ SY103 )
| ~ ( SV1 @ SY103 @ SY104 ) )
| ( SV1 @ SY102 @ SY104 ) ) )
= $false )
| ( ( SV1 @ ( sK6_SY100 @ SV1 ) @ ( sK8_SY115 @ SV1 ) )
= $false )
| ( ( SV1 @ sK2_SY22 @ sK3_SY43 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[49]) ).
thf(56,plain,
! [SV2: a > a > $o] :
( ( ( sK1_Xr @ ( sK7_SY105 @ SV2 ) @ ( sK9_SY116 @ SV2 ) )
= $true )
| ( ( ~ ! [SY107: a,SY108: a,SY109: a] :
( ~ ~ ( ~ ( SV2 @ SY107 @ SY108 )
| ~ ( SV2 @ SY108 @ SY109 ) )
| ( SV2 @ SY107 @ SY109 ) ) )
= $true )
| ( ( SV2 @ sK3_SY43 @ sK4_SY63 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[50]) ).
thf(57,plain,
! [SV2: a > a > $o] :
( ( ( ! [SY107: a,SY108: a,SY109: a] :
( ~ ~ ( ~ ( SV2 @ SY107 @ SY108 )
| ~ ( SV2 @ SY108 @ SY109 ) )
| ( SV2 @ SY107 @ SY109 ) ) )
= $false )
| ( ( SV2 @ ( sK7_SY105 @ SV2 ) @ ( sK9_SY116 @ SV2 ) )
= $false )
| ( ( SV2 @ sK3_SY43 @ sK4_SY63 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[51]) ).
thf(58,plain,
! [SV5: a,SV3: a] :
( ( ( sK1_Xr @ SV3 @ SV5 )
= $false )
| ( ( sK5_SX0 @ SV3 @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[52]) ).
thf(59,plain,
! [SV7: a,SV6: a,SV4: a] :
( ( ( ~ ~ ( ~ ( sK5_SX0 @ SV4 @ SV6 )
| ~ ( sK5_SX0 @ SV6 @ SV7 ) ) )
= $true )
| ( ( sK5_SX0 @ SV4 @ SV7 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[53]) ).
thf(60,plain,
! [SV1: a > a > $o] :
( ( ( ! [SY102: a,SY103: a,SY104: a] :
( ~ ~ ( ~ ( SV1 @ SY102 @ SY103 )
| ~ ( SV1 @ SY103 @ SY104 ) )
| ( SV1 @ SY102 @ SY104 ) ) )
= $false )
| ( ( sK1_Xr @ ( sK6_SY100 @ SV1 ) @ ( sK8_SY115 @ SV1 ) )
= $true )
| ( ( SV1 @ sK2_SY22 @ sK3_SY43 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[54]) ).
thf(61,plain,
! [SV1: a > a > $o] :
( ( ( ! [SY121: a,SY122: a] :
( ~ ~ ( ~ ( SV1 @ ( sK10_SY102 @ SV1 ) @ SY121 )
| ~ ( SV1 @ SY121 @ SY122 ) )
| ( SV1 @ ( sK10_SY102 @ SV1 ) @ SY122 ) ) )
= $false )
| ( ( SV1 @ ( sK6_SY100 @ SV1 ) @ ( sK8_SY115 @ SV1 ) )
= $false )
| ( ( SV1 @ sK2_SY22 @ sK3_SY43 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[55]) ).
thf(62,plain,
! [SV2: a > a > $o] :
( ( ( ! [SY107: a,SY108: a,SY109: a] :
( ~ ~ ( ~ ( SV2 @ SY107 @ SY108 )
| ~ ( SV2 @ SY108 @ SY109 ) )
| ( SV2 @ SY107 @ SY109 ) ) )
= $false )
| ( ( sK1_Xr @ ( sK7_SY105 @ SV2 ) @ ( sK9_SY116 @ SV2 ) )
= $true )
| ( ( SV2 @ sK3_SY43 @ sK4_SY63 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[56]) ).
thf(63,plain,
! [SV2: a > a > $o] :
( ( ( ! [SY123: a,SY124: a] :
( ~ ~ ( ~ ( SV2 @ ( sK11_SY107 @ SV2 ) @ SY123 )
| ~ ( SV2 @ SY123 @ SY124 ) )
| ( SV2 @ ( sK11_SY107 @ SV2 ) @ SY124 ) ) )
= $false )
| ( ( SV2 @ ( sK7_SY105 @ SV2 ) @ ( sK9_SY116 @ SV2 ) )
= $false )
| ( ( SV2 @ sK3_SY43 @ sK4_SY63 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[57]) ).
thf(64,plain,
! [SV7: a,SV6: a,SV4: a] :
( ( ( ~ ( ~ ( sK5_SX0 @ SV4 @ SV6 )
| ~ ( sK5_SX0 @ SV6 @ SV7 ) ) )
= $false )
| ( ( sK5_SX0 @ SV4 @ SV7 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[59]) ).
thf(65,plain,
! [SV1: a > a > $o] :
( ( ( ! [SY125: a,SY126: a] :
( ~ ~ ( ~ ( SV1 @ ( sK12_SY102 @ SV1 ) @ SY125 )
| ~ ( SV1 @ SY125 @ SY126 ) )
| ( SV1 @ ( sK12_SY102 @ SV1 ) @ SY126 ) ) )
= $false )
| ( ( sK1_Xr @ ( sK6_SY100 @ SV1 ) @ ( sK8_SY115 @ SV1 ) )
= $true )
| ( ( SV1 @ sK2_SY22 @ sK3_SY43 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[60]) ).
thf(66,plain,
! [SV1: a > a > $o] :
( ( ( ! [SY127: a] :
( ~ ~ ( ~ ( SV1 @ ( sK10_SY102 @ SV1 ) @ ( sK13_SY121 @ SV1 ) )
| ~ ( SV1 @ ( sK13_SY121 @ SV1 ) @ SY127 ) )
| ( SV1 @ ( sK10_SY102 @ SV1 ) @ SY127 ) ) )
= $false )
| ( ( SV1 @ ( sK6_SY100 @ SV1 ) @ ( sK8_SY115 @ SV1 ) )
= $false )
| ( ( SV1 @ sK2_SY22 @ sK3_SY43 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[61]) ).
thf(67,plain,
! [SV2: a > a > $o] :
( ( ( ! [SY128: a,SY129: a] :
( ~ ~ ( ~ ( SV2 @ ( sK14_SY107 @ SV2 ) @ SY128 )
| ~ ( SV2 @ SY128 @ SY129 ) )
| ( SV2 @ ( sK14_SY107 @ SV2 ) @ SY129 ) ) )
= $false )
| ( ( sK1_Xr @ ( sK7_SY105 @ SV2 ) @ ( sK9_SY116 @ SV2 ) )
= $true )
| ( ( SV2 @ sK3_SY43 @ sK4_SY63 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[62]) ).
thf(68,plain,
! [SV2: a > a > $o] :
( ( ( ! [SY130: a] :
( ~ ~ ( ~ ( SV2 @ ( sK11_SY107 @ SV2 ) @ ( sK15_SY123 @ SV2 ) )
| ~ ( SV2 @ ( sK15_SY123 @ SV2 ) @ SY130 ) )
| ( SV2 @ ( sK11_SY107 @ SV2 ) @ SY130 ) ) )
= $false )
| ( ( SV2 @ ( sK7_SY105 @ SV2 ) @ ( sK9_SY116 @ SV2 ) )
= $false )
| ( ( SV2 @ sK3_SY43 @ sK4_SY63 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[63]) ).
thf(69,plain,
! [SV7: a,SV6: a,SV4: a] :
( ( ( ~ ( sK5_SX0 @ SV4 @ SV6 )
| ~ ( sK5_SX0 @ SV6 @ SV7 ) )
= $true )
| ( ( sK5_SX0 @ SV4 @ SV7 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[64]) ).
thf(70,plain,
! [SV1: a > a > $o] :
( ( ( ! [SY131: a] :
( ~ ~ ( ~ ( SV1 @ ( sK12_SY102 @ SV1 ) @ ( sK16_SY125 @ SV1 ) )
| ~ ( SV1 @ ( sK16_SY125 @ SV1 ) @ SY131 ) )
| ( SV1 @ ( sK12_SY102 @ SV1 ) @ SY131 ) ) )
= $false )
| ( ( sK1_Xr @ ( sK6_SY100 @ SV1 ) @ ( sK8_SY115 @ SV1 ) )
= $true )
| ( ( SV1 @ sK2_SY22 @ sK3_SY43 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[65]) ).
thf(71,plain,
! [SV1: a > a > $o] :
( ( ( ~ ~ ( ~ ( SV1 @ ( sK10_SY102 @ SV1 ) @ ( sK13_SY121 @ SV1 ) )
| ~ ( SV1 @ ( sK13_SY121 @ SV1 ) @ ( sK17_SY127 @ SV1 ) ) )
| ( SV1 @ ( sK10_SY102 @ SV1 ) @ ( sK17_SY127 @ SV1 ) ) )
= $false )
| ( ( SV1 @ ( sK6_SY100 @ SV1 ) @ ( sK8_SY115 @ SV1 ) )
= $false )
| ( ( SV1 @ sK2_SY22 @ sK3_SY43 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[66]) ).
thf(72,plain,
! [SV2: a > a > $o] :
( ( ( ! [SY132: a] :
( ~ ~ ( ~ ( SV2 @ ( sK14_SY107 @ SV2 ) @ ( sK18_SY128 @ SV2 ) )
| ~ ( SV2 @ ( sK18_SY128 @ SV2 ) @ SY132 ) )
| ( SV2 @ ( sK14_SY107 @ SV2 ) @ SY132 ) ) )
= $false )
| ( ( sK1_Xr @ ( sK7_SY105 @ SV2 ) @ ( sK9_SY116 @ SV2 ) )
= $true )
| ( ( SV2 @ sK3_SY43 @ sK4_SY63 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[67]) ).
thf(73,plain,
! [SV2: a > a > $o] :
( ( ( ~ ~ ( ~ ( SV2 @ ( sK11_SY107 @ SV2 ) @ ( sK15_SY123 @ SV2 ) )
| ~ ( SV2 @ ( sK15_SY123 @ SV2 ) @ ( sK19_SY130 @ SV2 ) ) )
| ( SV2 @ ( sK11_SY107 @ SV2 ) @ ( sK19_SY130 @ SV2 ) ) )
= $false )
| ( ( SV2 @ ( sK7_SY105 @ SV2 ) @ ( sK9_SY116 @ SV2 ) )
= $false )
| ( ( SV2 @ sK3_SY43 @ sK4_SY63 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[68]) ).
thf(74,plain,
! [SV7: a,SV6: a,SV4: a] :
( ( ( ~ ( sK5_SX0 @ SV4 @ SV6 ) )
= $true )
| ( ( ~ ( sK5_SX0 @ SV6 @ SV7 ) )
= $true )
| ( ( sK5_SX0 @ SV4 @ SV7 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[69]) ).
thf(75,plain,
! [SV1: a > a > $o] :
( ( ( ~ ~ ( ~ ( SV1 @ ( sK12_SY102 @ SV1 ) @ ( sK16_SY125 @ SV1 ) )
| ~ ( SV1 @ ( sK16_SY125 @ SV1 ) @ ( sK20_SY131 @ SV1 ) ) )
| ( SV1 @ ( sK12_SY102 @ SV1 ) @ ( sK20_SY131 @ SV1 ) ) )
= $false )
| ( ( sK1_Xr @ ( sK6_SY100 @ SV1 ) @ ( sK8_SY115 @ SV1 ) )
= $true )
| ( ( SV1 @ sK2_SY22 @ sK3_SY43 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[70]) ).
thf(76,plain,
! [SV1: a > a > $o] :
( ( ( ~ ~ ( ~ ( SV1 @ ( sK10_SY102 @ SV1 ) @ ( sK13_SY121 @ SV1 ) )
| ~ ( SV1 @ ( sK13_SY121 @ SV1 ) @ ( sK17_SY127 @ SV1 ) ) ) )
= $false )
| ( ( SV1 @ ( sK6_SY100 @ SV1 ) @ ( sK8_SY115 @ SV1 ) )
= $false )
| ( ( SV1 @ sK2_SY22 @ sK3_SY43 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[71]) ).
thf(77,plain,
! [SV1: a > a > $o] :
( ( ( SV1 @ ( sK10_SY102 @ SV1 ) @ ( sK17_SY127 @ SV1 ) )
= $false )
| ( ( SV1 @ ( sK6_SY100 @ SV1 ) @ ( sK8_SY115 @ SV1 ) )
= $false )
| ( ( SV1 @ sK2_SY22 @ sK3_SY43 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[71]) ).
thf(78,plain,
! [SV2: a > a > $o] :
( ( ( ~ ~ ( ~ ( SV2 @ ( sK14_SY107 @ SV2 ) @ ( sK18_SY128 @ SV2 ) )
| ~ ( SV2 @ ( sK18_SY128 @ SV2 ) @ ( sK21_SY132 @ SV2 ) ) )
| ( SV2 @ ( sK14_SY107 @ SV2 ) @ ( sK21_SY132 @ SV2 ) ) )
= $false )
| ( ( sK1_Xr @ ( sK7_SY105 @ SV2 ) @ ( sK9_SY116 @ SV2 ) )
= $true )
| ( ( SV2 @ sK3_SY43 @ sK4_SY63 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[72]) ).
thf(79,plain,
! [SV2: a > a > $o] :
( ( ( ~ ~ ( ~ ( SV2 @ ( sK11_SY107 @ SV2 ) @ ( sK15_SY123 @ SV2 ) )
| ~ ( SV2 @ ( sK15_SY123 @ SV2 ) @ ( sK19_SY130 @ SV2 ) ) ) )
= $false )
| ( ( SV2 @ ( sK7_SY105 @ SV2 ) @ ( sK9_SY116 @ SV2 ) )
= $false )
| ( ( SV2 @ sK3_SY43 @ sK4_SY63 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[73]) ).
thf(80,plain,
! [SV2: a > a > $o] :
( ( ( SV2 @ ( sK11_SY107 @ SV2 ) @ ( sK19_SY130 @ SV2 ) )
= $false )
| ( ( SV2 @ ( sK7_SY105 @ SV2 ) @ ( sK9_SY116 @ SV2 ) )
= $false )
| ( ( SV2 @ sK3_SY43 @ sK4_SY63 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[73]) ).
thf(81,plain,
! [SV7: a,SV6: a,SV4: a] :
( ( ( sK5_SX0 @ SV4 @ SV6 )
= $false )
| ( ( ~ ( sK5_SX0 @ SV6 @ SV7 ) )
= $true )
| ( ( sK5_SX0 @ SV4 @ SV7 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[74]) ).
thf(82,plain,
! [SV1: a > a > $o] :
( ( ( ~ ~ ( ~ ( SV1 @ ( sK12_SY102 @ SV1 ) @ ( sK16_SY125 @ SV1 ) )
| ~ ( SV1 @ ( sK16_SY125 @ SV1 ) @ ( sK20_SY131 @ SV1 ) ) ) )
= $false )
| ( ( sK1_Xr @ ( sK6_SY100 @ SV1 ) @ ( sK8_SY115 @ SV1 ) )
= $true )
| ( ( SV1 @ sK2_SY22 @ sK3_SY43 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[75]) ).
thf(83,plain,
! [SV1: a > a > $o] :
( ( ( SV1 @ ( sK12_SY102 @ SV1 ) @ ( sK20_SY131 @ SV1 ) )
= $false )
| ( ( sK1_Xr @ ( sK6_SY100 @ SV1 ) @ ( sK8_SY115 @ SV1 ) )
= $true )
| ( ( SV1 @ sK2_SY22 @ sK3_SY43 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[75]) ).
thf(84,plain,
! [SV1: a > a > $o] :
( ( ( ~ ( ~ ( SV1 @ ( sK10_SY102 @ SV1 ) @ ( sK13_SY121 @ SV1 ) )
| ~ ( SV1 @ ( sK13_SY121 @ SV1 ) @ ( sK17_SY127 @ SV1 ) ) ) )
= $true )
| ( ( SV1 @ ( sK6_SY100 @ SV1 ) @ ( sK8_SY115 @ SV1 ) )
= $false )
| ( ( SV1 @ sK2_SY22 @ sK3_SY43 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[76]) ).
thf(85,plain,
! [SV2: a > a > $o] :
( ( ( ~ ~ ( ~ ( SV2 @ ( sK14_SY107 @ SV2 ) @ ( sK18_SY128 @ SV2 ) )
| ~ ( SV2 @ ( sK18_SY128 @ SV2 ) @ ( sK21_SY132 @ SV2 ) ) ) )
= $false )
| ( ( sK1_Xr @ ( sK7_SY105 @ SV2 ) @ ( sK9_SY116 @ SV2 ) )
= $true )
| ( ( SV2 @ sK3_SY43 @ sK4_SY63 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[78]) ).
thf(86,plain,
! [SV2: a > a > $o] :
( ( ( SV2 @ ( sK14_SY107 @ SV2 ) @ ( sK21_SY132 @ SV2 ) )
= $false )
| ( ( sK1_Xr @ ( sK7_SY105 @ SV2 ) @ ( sK9_SY116 @ SV2 ) )
= $true )
| ( ( SV2 @ sK3_SY43 @ sK4_SY63 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[78]) ).
thf(87,plain,
! [SV2: a > a > $o] :
( ( ( ~ ( ~ ( SV2 @ ( sK11_SY107 @ SV2 ) @ ( sK15_SY123 @ SV2 ) )
| ~ ( SV2 @ ( sK15_SY123 @ SV2 ) @ ( sK19_SY130 @ SV2 ) ) ) )
= $true )
| ( ( SV2 @ ( sK7_SY105 @ SV2 ) @ ( sK9_SY116 @ SV2 ) )
= $false )
| ( ( SV2 @ sK3_SY43 @ sK4_SY63 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[79]) ).
thf(88,plain,
! [SV4: a,SV7: a,SV6: a] :
( ( ( sK5_SX0 @ SV6 @ SV7 )
= $false )
| ( ( sK5_SX0 @ SV4 @ SV6 )
= $false )
| ( ( sK5_SX0 @ SV4 @ SV7 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[81]) ).
thf(89,plain,
! [SV1: a > a > $o] :
( ( ( ~ ( ~ ( SV1 @ ( sK12_SY102 @ SV1 ) @ ( sK16_SY125 @ SV1 ) )
| ~ ( SV1 @ ( sK16_SY125 @ SV1 ) @ ( sK20_SY131 @ SV1 ) ) ) )
= $true )
| ( ( sK1_Xr @ ( sK6_SY100 @ SV1 ) @ ( sK8_SY115 @ SV1 ) )
= $true )
| ( ( SV1 @ sK2_SY22 @ sK3_SY43 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[82]) ).
thf(90,plain,
! [SV1: a > a > $o] :
( ( ( ~ ( SV1 @ ( sK10_SY102 @ SV1 ) @ ( sK13_SY121 @ SV1 ) )
| ~ ( SV1 @ ( sK13_SY121 @ SV1 ) @ ( sK17_SY127 @ SV1 ) ) )
= $false )
| ( ( SV1 @ ( sK6_SY100 @ SV1 ) @ ( sK8_SY115 @ SV1 ) )
= $false )
| ( ( SV1 @ sK2_SY22 @ sK3_SY43 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[84]) ).
thf(91,plain,
! [SV2: a > a > $o] :
( ( ( ~ ( ~ ( SV2 @ ( sK14_SY107 @ SV2 ) @ ( sK18_SY128 @ SV2 ) )
| ~ ( SV2 @ ( sK18_SY128 @ SV2 ) @ ( sK21_SY132 @ SV2 ) ) ) )
= $true )
| ( ( sK1_Xr @ ( sK7_SY105 @ SV2 ) @ ( sK9_SY116 @ SV2 ) )
= $true )
| ( ( SV2 @ sK3_SY43 @ sK4_SY63 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[85]) ).
thf(92,plain,
! [SV2: a > a > $o] :
( ( ( ~ ( SV2 @ ( sK11_SY107 @ SV2 ) @ ( sK15_SY123 @ SV2 ) )
| ~ ( SV2 @ ( sK15_SY123 @ SV2 ) @ ( sK19_SY130 @ SV2 ) ) )
= $false )
| ( ( SV2 @ ( sK7_SY105 @ SV2 ) @ ( sK9_SY116 @ SV2 ) )
= $false )
| ( ( SV2 @ sK3_SY43 @ sK4_SY63 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[87]) ).
thf(93,plain,
! [SV1: a > a > $o] :
( ( ( ~ ( SV1 @ ( sK12_SY102 @ SV1 ) @ ( sK16_SY125 @ SV1 ) )
| ~ ( SV1 @ ( sK16_SY125 @ SV1 ) @ ( sK20_SY131 @ SV1 ) ) )
= $false )
| ( ( sK1_Xr @ ( sK6_SY100 @ SV1 ) @ ( sK8_SY115 @ SV1 ) )
= $true )
| ( ( SV1 @ sK2_SY22 @ sK3_SY43 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[89]) ).
thf(94,plain,
! [SV1: a > a > $o] :
( ( ( ~ ( SV1 @ ( sK10_SY102 @ SV1 ) @ ( sK13_SY121 @ SV1 ) ) )
= $false )
| ( ( SV1 @ ( sK6_SY100 @ SV1 ) @ ( sK8_SY115 @ SV1 ) )
= $false )
| ( ( SV1 @ sK2_SY22 @ sK3_SY43 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[90]) ).
thf(95,plain,
! [SV1: a > a > $o] :
( ( ( ~ ( SV1 @ ( sK13_SY121 @ SV1 ) @ ( sK17_SY127 @ SV1 ) ) )
= $false )
| ( ( SV1 @ ( sK6_SY100 @ SV1 ) @ ( sK8_SY115 @ SV1 ) )
= $false )
| ( ( SV1 @ sK2_SY22 @ sK3_SY43 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[90]) ).
thf(96,plain,
! [SV2: a > a > $o] :
( ( ( ~ ( SV2 @ ( sK14_SY107 @ SV2 ) @ ( sK18_SY128 @ SV2 ) )
| ~ ( SV2 @ ( sK18_SY128 @ SV2 ) @ ( sK21_SY132 @ SV2 ) ) )
= $false )
| ( ( sK1_Xr @ ( sK7_SY105 @ SV2 ) @ ( sK9_SY116 @ SV2 ) )
= $true )
| ( ( SV2 @ sK3_SY43 @ sK4_SY63 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[91]) ).
thf(97,plain,
! [SV2: a > a > $o] :
( ( ( ~ ( SV2 @ ( sK11_SY107 @ SV2 ) @ ( sK15_SY123 @ SV2 ) ) )
= $false )
| ( ( SV2 @ ( sK7_SY105 @ SV2 ) @ ( sK9_SY116 @ SV2 ) )
= $false )
| ( ( SV2 @ sK3_SY43 @ sK4_SY63 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[92]) ).
thf(98,plain,
! [SV2: a > a > $o] :
( ( ( ~ ( SV2 @ ( sK15_SY123 @ SV2 ) @ ( sK19_SY130 @ SV2 ) ) )
= $false )
| ( ( SV2 @ ( sK7_SY105 @ SV2 ) @ ( sK9_SY116 @ SV2 ) )
= $false )
| ( ( SV2 @ sK3_SY43 @ sK4_SY63 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[92]) ).
thf(99,plain,
! [SV1: a > a > $o] :
( ( ( ~ ( SV1 @ ( sK12_SY102 @ SV1 ) @ ( sK16_SY125 @ SV1 ) ) )
= $false )
| ( ( sK1_Xr @ ( sK6_SY100 @ SV1 ) @ ( sK8_SY115 @ SV1 ) )
= $true )
| ( ( SV1 @ sK2_SY22 @ sK3_SY43 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[93]) ).
thf(100,plain,
! [SV1: a > a > $o] :
( ( ( ~ ( SV1 @ ( sK16_SY125 @ SV1 ) @ ( sK20_SY131 @ SV1 ) ) )
= $false )
| ( ( sK1_Xr @ ( sK6_SY100 @ SV1 ) @ ( sK8_SY115 @ SV1 ) )
= $true )
| ( ( SV1 @ sK2_SY22 @ sK3_SY43 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[93]) ).
thf(101,plain,
! [SV1: a > a > $o] :
( ( ( SV1 @ ( sK10_SY102 @ SV1 ) @ ( sK13_SY121 @ SV1 ) )
= $true )
| ( ( SV1 @ ( sK6_SY100 @ SV1 ) @ ( sK8_SY115 @ SV1 ) )
= $false )
| ( ( SV1 @ sK2_SY22 @ sK3_SY43 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[94]) ).
thf(102,plain,
! [SV1: a > a > $o] :
( ( ( SV1 @ ( sK13_SY121 @ SV1 ) @ ( sK17_SY127 @ SV1 ) )
= $true )
| ( ( SV1 @ ( sK6_SY100 @ SV1 ) @ ( sK8_SY115 @ SV1 ) )
= $false )
| ( ( SV1 @ sK2_SY22 @ sK3_SY43 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[95]) ).
thf(103,plain,
! [SV2: a > a > $o] :
( ( ( ~ ( SV2 @ ( sK14_SY107 @ SV2 ) @ ( sK18_SY128 @ SV2 ) ) )
= $false )
| ( ( sK1_Xr @ ( sK7_SY105 @ SV2 ) @ ( sK9_SY116 @ SV2 ) )
= $true )
| ( ( SV2 @ sK3_SY43 @ sK4_SY63 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[96]) ).
thf(104,plain,
! [SV2: a > a > $o] :
( ( ( ~ ( SV2 @ ( sK18_SY128 @ SV2 ) @ ( sK21_SY132 @ SV2 ) ) )
= $false )
| ( ( sK1_Xr @ ( sK7_SY105 @ SV2 ) @ ( sK9_SY116 @ SV2 ) )
= $true )
| ( ( SV2 @ sK3_SY43 @ sK4_SY63 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[96]) ).
thf(105,plain,
! [SV2: a > a > $o] :
( ( ( SV2 @ ( sK11_SY107 @ SV2 ) @ ( sK15_SY123 @ SV2 ) )
= $true )
| ( ( SV2 @ ( sK7_SY105 @ SV2 ) @ ( sK9_SY116 @ SV2 ) )
= $false )
| ( ( SV2 @ sK3_SY43 @ sK4_SY63 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[97]) ).
thf(106,plain,
! [SV2: a > a > $o] :
( ( ( SV2 @ ( sK15_SY123 @ SV2 ) @ ( sK19_SY130 @ SV2 ) )
= $true )
| ( ( SV2 @ ( sK7_SY105 @ SV2 ) @ ( sK9_SY116 @ SV2 ) )
= $false )
| ( ( SV2 @ sK3_SY43 @ sK4_SY63 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[98]) ).
thf(107,plain,
! [SV1: a > a > $o] :
( ( ( SV1 @ ( sK12_SY102 @ SV1 ) @ ( sK16_SY125 @ SV1 ) )
= $true )
| ( ( sK1_Xr @ ( sK6_SY100 @ SV1 ) @ ( sK8_SY115 @ SV1 ) )
= $true )
| ( ( SV1 @ sK2_SY22 @ sK3_SY43 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[99]) ).
thf(108,plain,
! [SV1: a > a > $o] :
( ( ( SV1 @ ( sK16_SY125 @ SV1 ) @ ( sK20_SY131 @ SV1 ) )
= $true )
| ( ( sK1_Xr @ ( sK6_SY100 @ SV1 ) @ ( sK8_SY115 @ SV1 ) )
= $true )
| ( ( SV1 @ sK2_SY22 @ sK3_SY43 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[100]) ).
thf(109,plain,
! [SV2: a > a > $o] :
( ( ( SV2 @ ( sK14_SY107 @ SV2 ) @ ( sK18_SY128 @ SV2 ) )
= $true )
| ( ( sK1_Xr @ ( sK7_SY105 @ SV2 ) @ ( sK9_SY116 @ SV2 ) )
= $true )
| ( ( SV2 @ sK3_SY43 @ sK4_SY63 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[103]) ).
thf(110,plain,
! [SV2: a > a > $o] :
( ( ( SV2 @ ( sK18_SY128 @ SV2 ) @ ( sK21_SY132 @ SV2 ) )
= $true )
| ( ( sK1_Xr @ ( sK7_SY105 @ SV2 ) @ ( sK9_SY116 @ SV2 ) )
= $true )
| ( ( SV2 @ sK3_SY43 @ sK4_SY63 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[104]) ).
thf(111,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[25,110,109,108,107,106,105,102,101,88,86,83,80,77,58]) ).
thf(112,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[111]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV063^5 : 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
% 0.12/0.19 % Computer : n007.cluster.edu
% 0.12/0.19 % Model : x86_64 x86_64
% 0.12/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.19 % Memory : 8046.5625MB
% 0.12/0.19 % OS : Linux 6.8.0-71-generic
% 0.12/0.19 % CPULimit : 300
% 0.12/0.19 % WCLimit : 300
% 0.12/0.19 % DateTime : Tue Oct 6 15:38:15 UTC 2026
% 0.12/0.20 % CPUTime :
% 0.12/0.20 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.48/0.33
% 0.48/0.33 No.of.Axioms: 0
% 0.48/0.33
% 0.48/0.33 Length.of.Defs: 0
% 0.48/0.33
% 0.48/0.33 Contains.Choice.Funs: false
% 0.48/0.33 ....
% 0.48/0.33
% 0.48/0.33 ********************************
% 0.48/0.33 * All subproblems solved! *
% 0.48/0.33 ********************************
% 0.48/0.33 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:2,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:111,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.48/0.33
% 0.48/0.33 %**** Beginning of derivation protocol ****
% 0.48/0.33 % SZS output start CNFRefutation
% See solution above
% 0.48/0.33
% 0.48/0.33 %**** End of derivation protocol ****
% 0.48/0.33 %**** no. of clauses in derivation: 112 ****
% 0.48/0.33 %**** clause counter: 111 ****
% 0.48/0.33
% 0.48/0.33 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:2,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:111,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------