TSTP Solution File: SEV062^5 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SEV062^5 : 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 : n029.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 17:34:37 EDT 2022
% Result : Theorem 0.12s 0.41s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 10
% Syntax : Number of formulae : 79 ( 33 unt; 9 typ; 0 def)
% Number of atoms : 412 ( 136 equ; 0 cnn)
% Maximal formula atoms : 3 ( 5 avg)
% Number of connectives : 1300 ( 208 ~; 155 |; 40 &; 846 @)
% ( 0 <=>; 51 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 123 ( 123 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 210 ( 0 ^ 210 !; 0 ?; 210 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_sK1_Xr,type,
sK1_Xr: $i > $i > $o ).
thf(tp_sK2_SY15,type,
sK2_SY15: $i ).
thf(tp_sK3_SY29,type,
sK3_SY29: $i ).
thf(tp_sK4_SY48,type,
sK4_SY48: $i > $i > $o ).
thf(tp_sK5_SY20,type,
sK5_SY20: ( $i > $i > $o ) > $i ).
thf(tp_sK6_SY59,type,
sK6_SY59: ( $i > $i > $o ) > $i ).
thf(tp_sK7_SY61,type,
sK7_SY61: ( $i > $i > $o ) > $i ).
thf(tp_sK8_SY18,type,
sK8_SY18: ( $i > $i > $o ) > $i ).
thf(tp_sK9_SY62,type,
sK9_SY62: ( $i > $i > $o ) > $i ).
thf(1,conjecture,
! [Xr: $i > $i > $o,Xx: $i,Xy: $i] :
( ! [Xp: $i > $i > $o] :
( ( ! [Xx0: $i,Xy0: $i] :
( ( Xr @ Xx0 @ Xy0 )
=> ( Xp @ Xx0 @ Xy0 ) )
& ! [Xu: $i,Xv: $i,Xw: $i] :
( ( ( Xp @ Xu @ Xv )
& ( Xr @ Xv @ Xw ) )
=> ( Xp @ Xu @ Xw ) ) )
=> ( Xp @ Xx @ Xy ) )
=> ! [Xp: $i > $i > $o] :
( ( ! [Xx0: $i,Xy0: $i] :
( ( Xr @ Xx0 @ Xy0 )
=> ( Xp @ Xx0 @ Xy0 ) )
& ! [Xx0: $i,Xy0: $i,Xz: $i] :
( ( ( Xp @ Xx0 @ Xy0 )
& ( Xp @ Xy0 @ Xz ) )
=> ( Xp @ Xx0 @ Xz ) ) )
=> ( Xp @ Xx @ Xy ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cT146A_pme) ).
thf(2,negated_conjecture,
( ( ! [Xr: $i > $i > $o,Xx: $i,Xy: $i] :
( ! [Xp: $i > $i > $o] :
( ( ! [Xx0: $i,Xy0: $i] :
( ( Xr @ Xx0 @ Xy0 )
=> ( Xp @ Xx0 @ Xy0 ) )
& ! [Xu: $i,Xv: $i,Xw: $i] :
( ( ( Xp @ Xu @ Xv )
& ( Xr @ Xv @ Xw ) )
=> ( Xp @ Xu @ Xw ) ) )
=> ( Xp @ Xx @ Xy ) )
=> ! [Xp: $i > $i > $o] :
( ( ! [Xx0: $i,Xy0: $i] :
( ( Xr @ Xx0 @ Xy0 )
=> ( Xp @ Xx0 @ Xy0 ) )
& ! [Xx0: $i,Xy0: $i,Xz: $i] :
( ( ( Xp @ Xx0 @ Xy0 )
& ( Xp @ Xy0 @ Xz ) )
=> ( Xp @ Xx0 @ Xz ) ) )
=> ( Xp @ Xx @ Xy ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ! [Xr: $i > $i > $o,Xx: $i,Xy: $i] :
( ! [Xp: $i > $i > $o] :
( ( ! [Xx0: $i,Xy0: $i] :
( ( Xr @ Xx0 @ Xy0 )
=> ( Xp @ Xx0 @ Xy0 ) )
& ! [Xu: $i,Xv: $i,Xw: $i] :
( ( ( Xp @ Xu @ Xv )
& ( Xr @ Xv @ Xw ) )
=> ( Xp @ Xu @ Xw ) ) )
=> ( Xp @ Xx @ Xy ) )
=> ! [Xp: $i > $i > $o] :
( ( ! [Xx0: $i,Xy0: $i] :
( ( Xr @ Xx0 @ Xy0 )
=> ( Xp @ Xx0 @ Xy0 ) )
& ! [Xx0: $i,Xy0: $i,Xz: $i] :
( ( ( Xp @ Xx0 @ Xy0 )
& ( Xp @ Xy0 @ Xz ) )
=> ( Xp @ Xx0 @ Xz ) ) )
=> ( Xp @ Xx @ Xy ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ! [SY15: $i,SY16: $i] :
( ! [SY17: $i > $i > $o] :
( ( ! [SY18: $i,SY19: $i] :
( ( sK1_Xr @ SY18 @ SY19 )
=> ( SY17 @ SY18 @ SY19 ) )
& ! [SY20: $i,SY21: $i,SY22: $i] :
( ( ( SY17 @ SY20 @ SY21 )
& ( sK1_Xr @ SY21 @ SY22 ) )
=> ( SY17 @ SY20 @ SY22 ) ) )
=> ( SY17 @ SY15 @ SY16 ) )
=> ! [SY23: $i > $i > $o] :
( ( ! [SY24: $i,SY25: $i] :
( ( sK1_Xr @ SY24 @ SY25 )
=> ( SY23 @ SY24 @ SY25 ) )
& ! [Xx0: $i,Xy0: $i,Xz: $i] :
( ( ( SY23 @ Xx0 @ Xy0 )
& ( SY23 @ Xy0 @ Xz ) )
=> ( SY23 @ Xx0 @ Xz ) ) )
=> ( SY23 @ SY15 @ SY16 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[3]) ).
thf(5,plain,
( ( ! [SY29: $i] :
( ! [SY30: $i > $i > $o] :
( ( ! [SY18: $i,SY19: $i] :
( ( sK1_Xr @ SY18 @ SY19 )
=> ( SY30 @ SY18 @ SY19 ) )
& ! [SY20: $i,SY21: $i,SY22: $i] :
( ( ( SY30 @ SY20 @ SY21 )
& ( sK1_Xr @ SY21 @ SY22 ) )
=> ( SY30 @ SY20 @ SY22 ) ) )
=> ( SY30 @ sK2_SY15 @ SY29 ) )
=> ! [SY36: $i > $i > $o] :
( ( ! [SY24: $i,SY25: $i] :
( ( sK1_Xr @ SY24 @ SY25 )
=> ( SY36 @ SY24 @ SY25 ) )
& ! [Xx0: $i,Xy0: $i,Xz: $i] :
( ( ( SY36 @ Xx0 @ Xy0 )
& ( SY36 @ Xy0 @ Xz ) )
=> ( SY36 @ Xx0 @ Xz ) ) )
=> ( SY36 @ sK2_SY15 @ SY29 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[4]) ).
thf(6,plain,
( ( ! [SY42: $i > $i > $o] :
( ( ! [SY18: $i,SY19: $i] :
( ( sK1_Xr @ SY18 @ SY19 )
=> ( SY42 @ SY18 @ SY19 ) )
& ! [SY20: $i,SY21: $i,SY22: $i] :
( ( ( SY42 @ SY20 @ SY21 )
& ( sK1_Xr @ SY21 @ SY22 ) )
=> ( SY42 @ SY20 @ SY22 ) ) )
=> ( SY42 @ sK2_SY15 @ sK3_SY29 ) )
=> ! [SY48: $i > $i > $o] :
( ( ! [SY24: $i,SY25: $i] :
( ( sK1_Xr @ SY24 @ SY25 )
=> ( SY48 @ SY24 @ SY25 ) )
& ! [Xx0: $i,Xy0: $i,Xz: $i] :
( ( ( SY48 @ Xx0 @ Xy0 )
& ( SY48 @ Xy0 @ Xz ) )
=> ( SY48 @ Xx0 @ Xz ) ) )
=> ( SY48 @ sK2_SY15 @ sK3_SY29 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[5]) ).
thf(7,plain,
( ( ! [SY42: $i > $i > $o] :
( ( ! [SY18: $i,SY19: $i] :
( ( sK1_Xr @ SY18 @ SY19 )
=> ( SY42 @ SY18 @ SY19 ) )
& ! [SY20: $i,SY21: $i,SY22: $i] :
( ( ( SY42 @ SY20 @ SY21 )
& ( sK1_Xr @ SY21 @ SY22 ) )
=> ( SY42 @ SY20 @ SY22 ) ) )
=> ( SY42 @ sK2_SY15 @ sK3_SY29 ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[6]) ).
thf(8,plain,
( ( ! [SY48: $i > $i > $o] :
( ( ! [SY24: $i,SY25: $i] :
( ( sK1_Xr @ SY24 @ SY25 )
=> ( SY48 @ SY24 @ SY25 ) )
& ! [Xx0: $i,Xy0: $i,Xz: $i] :
( ( ( SY48 @ Xx0 @ Xy0 )
& ( SY48 @ Xy0 @ Xz ) )
=> ( SY48 @ Xx0 @ Xz ) ) )
=> ( SY48 @ sK2_SY15 @ sK3_SY29 ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[6]) ).
thf(9,plain,
( ( ~ ! [SY48: $i > $i > $o] :
( ( ! [SY24: $i,SY25: $i] :
( ( sK1_Xr @ SY24 @ SY25 )
=> ( SY48 @ SY24 @ SY25 ) )
& ! [Xx0: $i,Xy0: $i,Xz: $i] :
( ( ( SY48 @ Xx0 @ Xy0 )
& ( SY48 @ Xy0 @ Xz ) )
=> ( SY48 @ Xx0 @ Xz ) ) )
=> ( SY48 @ sK2_SY15 @ sK3_SY29 ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[8]) ).
thf(10,plain,
( ( ! [SY54: $i,SY55: $i] :
( ~ ( sK1_Xr @ SY54 @ SY55 )
| ( sK4_SY48 @ SY54 @ SY55 ) )
& ! [SY56: $i,SY57: $i,SY58: $i] :
( ~ ( sK4_SY48 @ SY56 @ SY57 )
| ~ ( sK4_SY48 @ SY57 @ SY58 )
| ( sK4_SY48 @ SY56 @ SY58 ) )
& ~ ( sK4_SY48 @ sK2_SY15 @ sK3_SY29 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[9]) ).
thf(11,plain,
( ( ! [SY42: $i > $i > $o] :
( ( ( sK1_Xr @ ( sK8_SY18 @ SY42 ) @ ( sK9_SY62 @ SY42 ) )
& ~ ( SY42 @ ( sK8_SY18 @ SY42 ) @ ( sK9_SY62 @ SY42 ) ) )
| ( ( SY42 @ ( sK5_SY20 @ SY42 ) @ ( sK6_SY59 @ SY42 ) )
& ( sK1_Xr @ ( sK6_SY59 @ SY42 ) @ ( sK7_SY61 @ SY42 ) )
& ~ ( SY42 @ ( sK5_SY20 @ SY42 ) @ ( sK7_SY61 @ SY42 ) ) )
| ( SY42 @ sK2_SY15 @ sK3_SY29 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[7]) ).
thf(12,plain,
( ( ! [SY42: $i > $i > $o] :
( ( ( sK1_Xr @ ( sK8_SY18 @ SY42 ) @ ( sK9_SY62 @ SY42 ) )
& ~ ( SY42 @ ( sK8_SY18 @ SY42 ) @ ( sK9_SY62 @ SY42 ) ) )
| ( ( SY42 @ ( sK5_SY20 @ SY42 ) @ ( sK6_SY59 @ SY42 ) )
& ( sK1_Xr @ ( sK6_SY59 @ SY42 ) @ ( sK7_SY61 @ SY42 ) )
& ~ ( SY42 @ ( sK5_SY20 @ SY42 ) @ ( sK7_SY61 @ SY42 ) ) )
| ( SY42 @ sK2_SY15 @ sK3_SY29 ) ) )
= $true ),
inference(copy,[status(thm)],[11]) ).
thf(13,plain,
( ( ! [SY54: $i,SY55: $i] :
( ~ ( sK1_Xr @ SY54 @ SY55 )
| ( sK4_SY48 @ SY54 @ SY55 ) )
& ! [SY56: $i,SY57: $i,SY58: $i] :
( ~ ( sK4_SY48 @ SY56 @ SY57 )
| ~ ( sK4_SY48 @ SY57 @ SY58 )
| ( sK4_SY48 @ SY56 @ SY58 ) )
& ~ ( sK4_SY48 @ sK2_SY15 @ sK3_SY29 ) )
= $true ),
inference(copy,[status(thm)],[10]) ).
thf(14,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( sK1_Xr @ SX0 @ SX1 )
| ( sK4_SY48 @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( sK4_SY48 @ SX0 @ SX1 )
| ~ ( sK4_SY48 @ SX1 @ SX2 )
| ( sK4_SY48 @ SX0 @ SX2 ) ) )
| ~ ~ ( sK4_SY48 @ sK2_SY15 @ sK3_SY29 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(15,plain,
( ( ! [SX0: $i > $i > $o] :
( ~ ( ~ ( sK1_Xr @ ( sK8_SY18 @ SX0 ) @ ( sK9_SY62 @ SX0 ) )
| ~ ~ ( SX0 @ ( sK8_SY18 @ SX0 ) @ ( sK9_SY62 @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( SX0 @ ( sK5_SY20 @ SX0 ) @ ( sK6_SY59 @ SX0 ) )
| ~ ( sK1_Xr @ ( sK6_SY59 @ SX0 ) @ ( sK7_SY61 @ SX0 ) ) )
| ~ ~ ( SX0 @ ( sK5_SY20 @ SX0 ) @ ( sK7_SY61 @ SX0 ) ) )
| ( SX0 @ sK2_SY15 @ sK3_SY29 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(16,plain,
( ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( sK1_Xr @ SX0 @ SX1 )
| ( sK4_SY48 @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( sK4_SY48 @ SX0 @ SX1 )
| ~ ( sK4_SY48 @ SX1 @ SX2 )
| ( sK4_SY48 @ SX0 @ SX2 ) ) )
| ~ ~ ( sK4_SY48 @ sK2_SY15 @ sK3_SY29 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[14]) ).
thf(17,plain,
! [SV1: $i > $i > $o] :
( ( ~ ( ~ ( sK1_Xr @ ( sK8_SY18 @ SV1 ) @ ( sK9_SY62 @ SV1 ) )
| ~ ~ ( SV1 @ ( sK8_SY18 @ SV1 ) @ ( sK9_SY62 @ SV1 ) ) )
| ~ ( ~ ~ ( ~ ( SV1 @ ( sK5_SY20 @ SV1 ) @ ( sK6_SY59 @ SV1 ) )
| ~ ( sK1_Xr @ ( sK6_SY59 @ SV1 ) @ ( sK7_SY61 @ SV1 ) ) )
| ~ ~ ( SV1 @ ( sK5_SY20 @ SV1 ) @ ( sK7_SY61 @ SV1 ) ) )
| ( SV1 @ sK2_SY15 @ sK3_SY29 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[15]) ).
thf(18,plain,
( ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( sK1_Xr @ SX0 @ SX1 )
| ( sK4_SY48 @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( sK4_SY48 @ SX0 @ SX1 )
| ~ ( sK4_SY48 @ SX1 @ SX2 )
| ( sK4_SY48 @ SX0 @ SX2 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[16]) ).
thf(19,plain,
( ( ~ ~ ( sK4_SY48 @ sK2_SY15 @ sK3_SY29 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[16]) ).
thf(20,plain,
! [SV1: $i > $i > $o] :
( ( ( ~ ( ~ ( sK1_Xr @ ( sK8_SY18 @ SV1 ) @ ( sK9_SY62 @ SV1 ) )
| ~ ~ ( SV1 @ ( sK8_SY18 @ SV1 ) @ ( sK9_SY62 @ SV1 ) ) )
| ~ ( ~ ~ ( ~ ( SV1 @ ( sK5_SY20 @ SV1 ) @ ( sK6_SY59 @ SV1 ) )
| ~ ( sK1_Xr @ ( sK6_SY59 @ SV1 ) @ ( sK7_SY61 @ SV1 ) ) )
| ~ ~ ( SV1 @ ( sK5_SY20 @ SV1 ) @ ( sK7_SY61 @ SV1 ) ) ) )
= $true )
| ( ( SV1 @ sK2_SY15 @ sK3_SY29 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[17]) ).
thf(21,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( sK1_Xr @ SX0 @ SX1 )
| ( sK4_SY48 @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( sK4_SY48 @ SX0 @ SX1 )
| ~ ( sK4_SY48 @ SX1 @ SX2 )
| ( sK4_SY48 @ SX0 @ SX2 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[18]) ).
thf(22,plain,
( ( ~ ( sK4_SY48 @ sK2_SY15 @ sK3_SY29 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[19]) ).
thf(23,plain,
! [SV1: $i > $i > $o] :
( ( ( ~ ( ~ ( sK1_Xr @ ( sK8_SY18 @ SV1 ) @ ( sK9_SY62 @ SV1 ) )
| ~ ~ ( SV1 @ ( sK8_SY18 @ SV1 ) @ ( sK9_SY62 @ SV1 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( SV1 @ ( sK5_SY20 @ SV1 ) @ ( sK6_SY59 @ SV1 ) )
| ~ ( sK1_Xr @ ( sK6_SY59 @ SV1 ) @ ( sK7_SY61 @ SV1 ) ) )
| ~ ~ ( SV1 @ ( sK5_SY20 @ SV1 ) @ ( sK7_SY61 @ SV1 ) ) ) )
= $true )
| ( ( SV1 @ sK2_SY15 @ sK3_SY29 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[20]) ).
thf(24,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( sK1_Xr @ SX0 @ SX1 )
| ( sK4_SY48 @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( sK4_SY48 @ SX0 @ SX1 )
| ~ ( sK4_SY48 @ SX1 @ SX2 )
| ( sK4_SY48 @ SX0 @ SX2 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[21]) ).
thf(25,plain,
( ( sK4_SY48 @ sK2_SY15 @ sK3_SY29 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[22]) ).
thf(26,plain,
! [SV1: $i > $i > $o] :
( ( ( ~ ( sK1_Xr @ ( sK8_SY18 @ SV1 ) @ ( sK9_SY62 @ SV1 ) )
| ~ ~ ( SV1 @ ( sK8_SY18 @ SV1 ) @ ( sK9_SY62 @ SV1 ) ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( SV1 @ ( sK5_SY20 @ SV1 ) @ ( sK6_SY59 @ SV1 ) )
| ~ ( sK1_Xr @ ( sK6_SY59 @ SV1 ) @ ( sK7_SY61 @ SV1 ) ) )
| ~ ~ ( SV1 @ ( sK5_SY20 @ SV1 ) @ ( sK7_SY61 @ SV1 ) ) ) )
= $true )
| ( ( SV1 @ sK2_SY15 @ sK3_SY29 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[23]) ).
thf(27,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( sK1_Xr @ SX0 @ SX1 )
| ( sK4_SY48 @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[24]) ).
thf(28,plain,
( ( ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( sK4_SY48 @ SX0 @ SX1 )
| ~ ( sK4_SY48 @ SX1 @ SX2 )
| ( sK4_SY48 @ SX0 @ SX2 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[24]) ).
thf(29,plain,
! [SV1: $i > $i > $o] :
( ( ( ~ ( sK1_Xr @ ( sK8_SY18 @ SV1 ) @ ( sK9_SY62 @ SV1 ) ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( SV1 @ ( sK5_SY20 @ SV1 ) @ ( sK6_SY59 @ SV1 ) )
| ~ ( sK1_Xr @ ( sK6_SY59 @ SV1 ) @ ( sK7_SY61 @ SV1 ) ) )
| ~ ~ ( SV1 @ ( sK5_SY20 @ SV1 ) @ ( sK7_SY61 @ SV1 ) ) ) )
= $true )
| ( ( SV1 @ sK2_SY15 @ sK3_SY29 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[26]) ).
thf(30,plain,
! [SV1: $i > $i > $o] :
( ( ( ~ ~ ( SV1 @ ( sK8_SY18 @ SV1 ) @ ( sK9_SY62 @ SV1 ) ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( SV1 @ ( sK5_SY20 @ SV1 ) @ ( sK6_SY59 @ SV1 ) )
| ~ ( sK1_Xr @ ( sK6_SY59 @ SV1 ) @ ( sK7_SY61 @ SV1 ) ) )
| ~ ~ ( SV1 @ ( sK5_SY20 @ SV1 ) @ ( sK7_SY61 @ SV1 ) ) ) )
= $true )
| ( ( SV1 @ sK2_SY15 @ sK3_SY29 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[26]) ).
thf(31,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( sK1_Xr @ SX0 @ SX1 )
| ( sK4_SY48 @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[27]) ).
thf(32,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( sK4_SY48 @ SX0 @ SX1 )
| ~ ( sK4_SY48 @ SX1 @ SX2 )
| ( sK4_SY48 @ SX0 @ SX2 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[28]) ).
thf(33,plain,
! [SV1: $i > $i > $o] :
( ( ( sK1_Xr @ ( sK8_SY18 @ SV1 ) @ ( sK9_SY62 @ SV1 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( SV1 @ ( sK5_SY20 @ SV1 ) @ ( sK6_SY59 @ SV1 ) )
| ~ ( sK1_Xr @ ( sK6_SY59 @ SV1 ) @ ( sK7_SY61 @ SV1 ) ) )
| ~ ~ ( SV1 @ ( sK5_SY20 @ SV1 ) @ ( sK7_SY61 @ SV1 ) ) ) )
= $true )
| ( ( SV1 @ sK2_SY15 @ sK3_SY29 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[29]) ).
thf(34,plain,
! [SV1: $i > $i > $o] :
( ( ( ~ ( SV1 @ ( sK8_SY18 @ SV1 ) @ ( sK9_SY62 @ SV1 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( SV1 @ ( sK5_SY20 @ SV1 ) @ ( sK6_SY59 @ SV1 ) )
| ~ ( sK1_Xr @ ( sK6_SY59 @ SV1 ) @ ( sK7_SY61 @ SV1 ) ) )
| ~ ~ ( SV1 @ ( sK5_SY20 @ SV1 ) @ ( sK7_SY61 @ SV1 ) ) ) )
= $true )
| ( ( SV1 @ sK2_SY15 @ sK3_SY29 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[30]) ).
thf(35,plain,
! [SV2: $i] :
( ( ! [SY63: $i] :
( ~ ( sK1_Xr @ SV2 @ SY63 )
| ( sK4_SY48 @ SV2 @ SY63 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[31]) ).
thf(36,plain,
! [SV3: $i] :
( ( ! [SY64: $i,SY65: $i] :
( ~ ( sK4_SY48 @ SV3 @ SY64 )
| ~ ( sK4_SY48 @ SY64 @ SY65 )
| ( sK4_SY48 @ SV3 @ SY65 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[32]) ).
thf(37,plain,
! [SV1: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( SV1 @ ( sK5_SY20 @ SV1 ) @ ( sK6_SY59 @ SV1 ) )
| ~ ( sK1_Xr @ ( sK6_SY59 @ SV1 ) @ ( sK7_SY61 @ SV1 ) ) )
| ~ ~ ( SV1 @ ( sK5_SY20 @ SV1 ) @ ( sK7_SY61 @ SV1 ) ) )
= $false )
| ( ( sK1_Xr @ ( sK8_SY18 @ SV1 ) @ ( sK9_SY62 @ SV1 ) )
= $true )
| ( ( SV1 @ sK2_SY15 @ sK3_SY29 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[33]) ).
thf(38,plain,
! [SV1: $i > $i > $o] :
( ( ( SV1 @ ( sK8_SY18 @ SV1 ) @ ( sK9_SY62 @ SV1 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( SV1 @ ( sK5_SY20 @ SV1 ) @ ( sK6_SY59 @ SV1 ) )
| ~ ( sK1_Xr @ ( sK6_SY59 @ SV1 ) @ ( sK7_SY61 @ SV1 ) ) )
| ~ ~ ( SV1 @ ( sK5_SY20 @ SV1 ) @ ( sK7_SY61 @ SV1 ) ) ) )
= $true )
| ( ( SV1 @ sK2_SY15 @ sK3_SY29 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[34]) ).
thf(39,plain,
! [SV4: $i,SV2: $i] :
( ( ~ ( sK1_Xr @ SV2 @ SV4 )
| ( sK4_SY48 @ SV2 @ SV4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[35]) ).
thf(40,plain,
! [SV5: $i,SV3: $i] :
( ( ! [SY66: $i] :
( ~ ( sK4_SY48 @ SV3 @ SV5 )
| ~ ( sK4_SY48 @ SV5 @ SY66 )
| ( sK4_SY48 @ SV3 @ SY66 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[36]) ).
thf(41,plain,
! [SV1: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( SV1 @ ( sK5_SY20 @ SV1 ) @ ( sK6_SY59 @ SV1 ) )
| ~ ( sK1_Xr @ ( sK6_SY59 @ SV1 ) @ ( sK7_SY61 @ SV1 ) ) ) )
= $false )
| ( ( sK1_Xr @ ( sK8_SY18 @ SV1 ) @ ( sK9_SY62 @ SV1 ) )
= $true )
| ( ( SV1 @ sK2_SY15 @ sK3_SY29 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[37]) ).
thf(42,plain,
! [SV1: $i > $i > $o] :
( ( ( ~ ~ ( SV1 @ ( sK5_SY20 @ SV1 ) @ ( sK7_SY61 @ SV1 ) ) )
= $false )
| ( ( sK1_Xr @ ( sK8_SY18 @ SV1 ) @ ( sK9_SY62 @ SV1 ) )
= $true )
| ( ( SV1 @ sK2_SY15 @ sK3_SY29 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[37]) ).
thf(43,plain,
! [SV1: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( SV1 @ ( sK5_SY20 @ SV1 ) @ ( sK6_SY59 @ SV1 ) )
| ~ ( sK1_Xr @ ( sK6_SY59 @ SV1 ) @ ( sK7_SY61 @ SV1 ) ) )
| ~ ~ ( SV1 @ ( sK5_SY20 @ SV1 ) @ ( sK7_SY61 @ SV1 ) ) )
= $false )
| ( ( SV1 @ ( sK8_SY18 @ SV1 ) @ ( sK9_SY62 @ SV1 ) )
= $false )
| ( ( SV1 @ sK2_SY15 @ sK3_SY29 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[38]) ).
thf(44,plain,
! [SV4: $i,SV2: $i] :
( ( ( ~ ( sK1_Xr @ SV2 @ SV4 ) )
= $true )
| ( ( sK4_SY48 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[39]) ).
thf(45,plain,
! [SV6: $i,SV5: $i,SV3: $i] :
( ( ~ ( sK4_SY48 @ SV3 @ SV5 )
| ~ ( sK4_SY48 @ SV5 @ SV6 )
| ( sK4_SY48 @ SV3 @ SV6 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[40]) ).
thf(46,plain,
! [SV1: $i > $i > $o] :
( ( ( ~ ( ~ ( SV1 @ ( sK5_SY20 @ SV1 ) @ ( sK6_SY59 @ SV1 ) )
| ~ ( sK1_Xr @ ( sK6_SY59 @ SV1 ) @ ( sK7_SY61 @ SV1 ) ) ) )
= $true )
| ( ( sK1_Xr @ ( sK8_SY18 @ SV1 ) @ ( sK9_SY62 @ SV1 ) )
= $true )
| ( ( SV1 @ sK2_SY15 @ sK3_SY29 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[41]) ).
thf(47,plain,
! [SV1: $i > $i > $o] :
( ( ( ~ ( SV1 @ ( sK5_SY20 @ SV1 ) @ ( sK7_SY61 @ SV1 ) ) )
= $true )
| ( ( sK1_Xr @ ( sK8_SY18 @ SV1 ) @ ( sK9_SY62 @ SV1 ) )
= $true )
| ( ( SV1 @ sK2_SY15 @ sK3_SY29 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[42]) ).
thf(48,plain,
! [SV1: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( SV1 @ ( sK5_SY20 @ SV1 ) @ ( sK6_SY59 @ SV1 ) )
| ~ ( sK1_Xr @ ( sK6_SY59 @ SV1 ) @ ( sK7_SY61 @ SV1 ) ) ) )
= $false )
| ( ( SV1 @ ( sK8_SY18 @ SV1 ) @ ( sK9_SY62 @ SV1 ) )
= $false )
| ( ( SV1 @ sK2_SY15 @ sK3_SY29 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[43]) ).
thf(49,plain,
! [SV1: $i > $i > $o] :
( ( ( ~ ~ ( SV1 @ ( sK5_SY20 @ SV1 ) @ ( sK7_SY61 @ SV1 ) ) )
= $false )
| ( ( SV1 @ ( sK8_SY18 @ SV1 ) @ ( sK9_SY62 @ SV1 ) )
= $false )
| ( ( SV1 @ sK2_SY15 @ sK3_SY29 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[43]) ).
thf(50,plain,
! [SV4: $i,SV2: $i] :
( ( ( sK1_Xr @ SV2 @ SV4 )
= $false )
| ( ( sK4_SY48 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[44]) ).
thf(51,plain,
! [SV6: $i,SV5: $i,SV3: $i] :
( ( ( ~ ( sK4_SY48 @ SV3 @ SV5 )
| ~ ( sK4_SY48 @ SV5 @ SV6 ) )
= $true )
| ( ( sK4_SY48 @ SV3 @ SV6 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[45]) ).
thf(52,plain,
! [SV1: $i > $i > $o] :
( ( ( ~ ( SV1 @ ( sK5_SY20 @ SV1 ) @ ( sK6_SY59 @ SV1 ) )
| ~ ( sK1_Xr @ ( sK6_SY59 @ SV1 ) @ ( sK7_SY61 @ SV1 ) ) )
= $false )
| ( ( sK1_Xr @ ( sK8_SY18 @ SV1 ) @ ( sK9_SY62 @ SV1 ) )
= $true )
| ( ( SV1 @ sK2_SY15 @ sK3_SY29 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[46]) ).
thf(53,plain,
! [SV1: $i > $i > $o] :
( ( ( SV1 @ ( sK5_SY20 @ SV1 ) @ ( sK7_SY61 @ SV1 ) )
= $false )
| ( ( sK1_Xr @ ( sK8_SY18 @ SV1 ) @ ( sK9_SY62 @ SV1 ) )
= $true )
| ( ( SV1 @ sK2_SY15 @ sK3_SY29 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[47]) ).
thf(54,plain,
! [SV1: $i > $i > $o] :
( ( ( ~ ( ~ ( SV1 @ ( sK5_SY20 @ SV1 ) @ ( sK6_SY59 @ SV1 ) )
| ~ ( sK1_Xr @ ( sK6_SY59 @ SV1 ) @ ( sK7_SY61 @ SV1 ) ) ) )
= $true )
| ( ( SV1 @ ( sK8_SY18 @ SV1 ) @ ( sK9_SY62 @ SV1 ) )
= $false )
| ( ( SV1 @ sK2_SY15 @ sK3_SY29 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[48]) ).
thf(55,plain,
! [SV1: $i > $i > $o] :
( ( ( ~ ( SV1 @ ( sK5_SY20 @ SV1 ) @ ( sK7_SY61 @ SV1 ) ) )
= $true )
| ( ( SV1 @ ( sK8_SY18 @ SV1 ) @ ( sK9_SY62 @ SV1 ) )
= $false )
| ( ( SV1 @ sK2_SY15 @ sK3_SY29 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[49]) ).
thf(56,plain,
! [SV6: $i,SV5: $i,SV3: $i] :
( ( ( ~ ( sK4_SY48 @ SV3 @ SV5 ) )
= $true )
| ( ( ~ ( sK4_SY48 @ SV5 @ SV6 ) )
= $true )
| ( ( sK4_SY48 @ SV3 @ SV6 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[51]) ).
thf(57,plain,
! [SV1: $i > $i > $o] :
( ( ( ~ ( SV1 @ ( sK5_SY20 @ SV1 ) @ ( sK6_SY59 @ SV1 ) ) )
= $false )
| ( ( sK1_Xr @ ( sK8_SY18 @ SV1 ) @ ( sK9_SY62 @ SV1 ) )
= $true )
| ( ( SV1 @ sK2_SY15 @ sK3_SY29 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[52]) ).
thf(58,plain,
! [SV1: $i > $i > $o] :
( ( ( ~ ( sK1_Xr @ ( sK6_SY59 @ SV1 ) @ ( sK7_SY61 @ SV1 ) ) )
= $false )
| ( ( sK1_Xr @ ( sK8_SY18 @ SV1 ) @ ( sK9_SY62 @ SV1 ) )
= $true )
| ( ( SV1 @ sK2_SY15 @ sK3_SY29 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[52]) ).
thf(59,plain,
! [SV1: $i > $i > $o] :
( ( ( ~ ( SV1 @ ( sK5_SY20 @ SV1 ) @ ( sK6_SY59 @ SV1 ) )
| ~ ( sK1_Xr @ ( sK6_SY59 @ SV1 ) @ ( sK7_SY61 @ SV1 ) ) )
= $false )
| ( ( SV1 @ ( sK8_SY18 @ SV1 ) @ ( sK9_SY62 @ SV1 ) )
= $false )
| ( ( SV1 @ sK2_SY15 @ sK3_SY29 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[54]) ).
thf(60,plain,
! [SV1: $i > $i > $o] :
( ( ( SV1 @ ( sK5_SY20 @ SV1 ) @ ( sK7_SY61 @ SV1 ) )
= $false )
| ( ( SV1 @ ( sK8_SY18 @ SV1 ) @ ( sK9_SY62 @ SV1 ) )
= $false )
| ( ( SV1 @ sK2_SY15 @ sK3_SY29 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[55]) ).
thf(61,plain,
! [SV6: $i,SV5: $i,SV3: $i] :
( ( ( sK4_SY48 @ SV3 @ SV5 )
= $false )
| ( ( ~ ( sK4_SY48 @ SV5 @ SV6 ) )
= $true )
| ( ( sK4_SY48 @ SV3 @ SV6 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[56]) ).
thf(62,plain,
! [SV1: $i > $i > $o] :
( ( ( SV1 @ ( sK5_SY20 @ SV1 ) @ ( sK6_SY59 @ SV1 ) )
= $true )
| ( ( sK1_Xr @ ( sK8_SY18 @ SV1 ) @ ( sK9_SY62 @ SV1 ) )
= $true )
| ( ( SV1 @ sK2_SY15 @ sK3_SY29 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[57]) ).
thf(63,plain,
! [SV1: $i > $i > $o] :
( ( ( sK1_Xr @ ( sK6_SY59 @ SV1 ) @ ( sK7_SY61 @ SV1 ) )
= $true )
| ( ( sK1_Xr @ ( sK8_SY18 @ SV1 ) @ ( sK9_SY62 @ SV1 ) )
= $true )
| ( ( SV1 @ sK2_SY15 @ sK3_SY29 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[58]) ).
thf(64,plain,
! [SV1: $i > $i > $o] :
( ( ( ~ ( SV1 @ ( sK5_SY20 @ SV1 ) @ ( sK6_SY59 @ SV1 ) ) )
= $false )
| ( ( SV1 @ ( sK8_SY18 @ SV1 ) @ ( sK9_SY62 @ SV1 ) )
= $false )
| ( ( SV1 @ sK2_SY15 @ sK3_SY29 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[59]) ).
thf(65,plain,
! [SV1: $i > $i > $o] :
( ( ( ~ ( sK1_Xr @ ( sK6_SY59 @ SV1 ) @ ( sK7_SY61 @ SV1 ) ) )
= $false )
| ( ( SV1 @ ( sK8_SY18 @ SV1 ) @ ( sK9_SY62 @ SV1 ) )
= $false )
| ( ( SV1 @ sK2_SY15 @ sK3_SY29 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[59]) ).
thf(66,plain,
! [SV3: $i,SV6: $i,SV5: $i] :
( ( ( sK4_SY48 @ SV5 @ SV6 )
= $false )
| ( ( sK4_SY48 @ SV3 @ SV5 )
= $false )
| ( ( sK4_SY48 @ SV3 @ SV6 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[61]) ).
thf(67,plain,
! [SV1: $i > $i > $o] :
( ( ( SV1 @ ( sK5_SY20 @ SV1 ) @ ( sK6_SY59 @ SV1 ) )
= $true )
| ( ( SV1 @ ( sK8_SY18 @ SV1 ) @ ( sK9_SY62 @ SV1 ) )
= $false )
| ( ( SV1 @ sK2_SY15 @ sK3_SY29 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[64]) ).
thf(68,plain,
! [SV1: $i > $i > $o] :
( ( ( sK1_Xr @ ( sK6_SY59 @ SV1 ) @ ( sK7_SY61 @ SV1 ) )
= $true )
| ( ( SV1 @ ( sK8_SY18 @ SV1 ) @ ( sK9_SY62 @ SV1 ) )
= $false )
| ( ( SV1 @ sK2_SY15 @ sK3_SY29 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[65]) ).
thf(69,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[25,68,67,66,63,62,60,53,50]) ).
thf(70,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[69]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SEV062^5 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.33 % Computer : n029.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue Jun 28 17:23:52 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34
% 0.12/0.34 No.of.Axioms: 0
% 0.12/0.34
% 0.12/0.34 Length.of.Defs: 0
% 0.12/0.34
% 0.12/0.34 Contains.Choice.Funs: false
% 0.12/0.35 (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)...
% 0.12/0.41
% 0.12/0.41 ********************************
% 0.12/0.41 * All subproblems solved! *
% 0.12/0.41 ********************************
% 0.12/0.41 % 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:69,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.12/0.41
% 0.12/0.41 %**** Beginning of derivation protocol ****
% 0.12/0.41 % SZS output start CNFRefutation
% See solution above
% 0.18/0.41
% 0.18/0.41 %**** End of derivation protocol ****
% 0.18/0.41 %**** no. of clauses in derivation: 70 ****
% 0.18/0.41 %**** clause counter: 69 ****
% 0.18/0.41
% 0.18/0.41 % 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:69,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------