TSTP Solution File: SEV034^5 by LEO-II---1.7.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SEV034^5 : 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 : n028.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 17:34:27 EDT 2022
% Result : Theorem 0.18s 0.48s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 9
% Syntax : Number of formulae : 120 ( 60 unt; 8 typ; 0 def)
% Number of atoms : 819 ( 220 equ; 0 cnn)
% Maximal formula atoms : 4 ( 7 avg)
% Number of connectives : 1718 ( 177 ~; 195 |; 52 &;1201 @)
% ( 0 <=>; 93 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 4 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 36 ( 36 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 6 usr; 4 con; 0-3 aty)
% Number of variables : 483 ( 0 ^ 483 !; 0 ?; 483 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a,type,
a: $tType ).
thf(tp_b,type,
b: $tType ).
thf(tp_sK1_Xp,type,
sK1_Xp: a > a > $o ).
thf(tp_sK2_SY21,type,
sK2_SY21: a > b > b > $o ).
thf(tp_sK3_SY41,type,
sK3_SY41: a > b ).
thf(tp_sK4_SY60,type,
sK4_SY60: a > b ).
thf(tp_sK5_SY93,type,
sK5_SY93: a ).
thf(tp_sK6_SY95,type,
sK6_SY95: a ).
thf(1,conjecture,
! [Xp: a > a > $o,Xq: a > b > b > $o,Xf: a > b,Xg: a > b] :
( ! [Xx: a] :
( ( Xp @ Xx @ Xx )
=> ( Xq @ Xx @ ( Xf @ Xx ) @ ( Xg @ Xx ) ) )
=> ( ! [Xx: a,Xy: a] :
( ( Xp @ Xx @ Xy )
=> ( Xq @ Xx @ ( Xf @ Xx ) @ ( Xf @ Xy ) ) )
=> ( ( ! [Xx: a,Xy: a] :
( ( Xp @ Xx @ Xy )
=> ( Xp @ Xy @ Xx ) )
& ! [Xx: a,Xy: a,Xz: a] :
( ( ( Xp @ Xx @ Xy )
& ( Xp @ Xy @ Xz ) )
=> ( Xp @ Xx @ Xz ) )
& ( Xp = Xp ) )
=> ( ! [Xx: a,Xy: a] :
( ( Xp @ Xx @ Xy )
=> ( ! [Xx0: b,Xy0: b] :
( ( Xq @ Xx @ Xx0 @ Xy0 )
=> ( Xq @ Xx @ Xy0 @ Xx0 ) )
& ! [Xx0: b,Xy0: b,Xz: b] :
( ( ( Xq @ Xx @ Xx0 @ Xy0 )
& ( Xq @ Xx @ Xy0 @ Xz ) )
=> ( Xq @ Xx @ Xx0 @ Xz ) )
& ( ( Xq @ Xx )
= ( Xq @ Xy ) ) ) )
=> ! [Xx: a,Xy: a] :
( ( Xp @ Xx @ Xy )
=> ( Xq @ Xx @ ( Xf @ Xx ) @ ( Xg @ Xy ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM518_pme) ).
thf(2,negated_conjecture,
( ( ! [Xp: a > a > $o,Xq: a > b > b > $o,Xf: a > b,Xg: a > b] :
( ! [Xx: a] :
( ( Xp @ Xx @ Xx )
=> ( Xq @ Xx @ ( Xf @ Xx ) @ ( Xg @ Xx ) ) )
=> ( ! [Xx: a,Xy: a] :
( ( Xp @ Xx @ Xy )
=> ( Xq @ Xx @ ( Xf @ Xx ) @ ( Xf @ Xy ) ) )
=> ( ( ! [Xx: a,Xy: a] :
( ( Xp @ Xx @ Xy )
=> ( Xp @ Xy @ Xx ) )
& ! [Xx: a,Xy: a,Xz: a] :
( ( ( Xp @ Xx @ Xy )
& ( Xp @ Xy @ Xz ) )
=> ( Xp @ Xx @ Xz ) )
& ( Xp = Xp ) )
=> ( ! [Xx: a,Xy: a] :
( ( Xp @ Xx @ Xy )
=> ( ! [Xx0: b,Xy0: b] :
( ( Xq @ Xx @ Xx0 @ Xy0 )
=> ( Xq @ Xx @ Xy0 @ Xx0 ) )
& ! [Xx0: b,Xy0: b,Xz: b] :
( ( ( Xq @ Xx @ Xx0 @ Xy0 )
& ( Xq @ Xx @ Xy0 @ Xz ) )
=> ( Xq @ Xx @ Xx0 @ Xz ) )
& ( ( Xq @ Xx )
= ( Xq @ Xy ) ) ) )
=> ! [Xx: a,Xy: a] :
( ( Xp @ Xx @ Xy )
=> ( Xq @ Xx @ ( Xf @ Xx ) @ ( Xg @ Xy ) ) ) ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ! [Xp: a > a > $o,Xq: a > b > b > $o,Xf: a > b,Xg: a > b] :
( ! [Xx: a] :
( ( Xp @ Xx @ Xx )
=> ( Xq @ Xx @ ( Xf @ Xx ) @ ( Xg @ Xx ) ) )
=> ( ! [Xx: a,Xy: a] :
( ( Xp @ Xx @ Xy )
=> ( Xq @ Xx @ ( Xf @ Xx ) @ ( Xf @ Xy ) ) )
=> ( ( ! [Xx: a,Xy: a] :
( ( Xp @ Xx @ Xy )
=> ( Xp @ Xy @ Xx ) )
& ! [Xx: a,Xy: a,Xz: a] :
( ( ( Xp @ Xx @ Xy )
& ( Xp @ Xy @ Xz ) )
=> ( Xp @ Xx @ Xz ) )
& ( Xp = Xp ) )
=> ( ! [Xx: a,Xy: a] :
( ( Xp @ Xx @ Xy )
=> ( ! [Xx0: b,Xy0: b] :
( ( Xq @ Xx @ Xx0 @ Xy0 )
=> ( Xq @ Xx @ Xy0 @ Xx0 ) )
& ! [Xx0: b,Xy0: b,Xz: b] :
( ( ( Xq @ Xx @ Xx0 @ Xy0 )
& ( Xq @ Xx @ Xy0 @ Xz ) )
=> ( Xq @ Xx @ Xx0 @ Xz ) )
& ( ( Xq @ Xx )
= ( Xq @ Xy ) ) ) )
=> ! [Xx: a,Xy: a] :
( ( Xp @ Xx @ Xy )
=> ( Xq @ Xx @ ( Xf @ Xx ) @ ( Xg @ Xy ) ) ) ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ! [SY21: a > b > b > $o,SY22: a > b,SY23: a > b] :
( ! [SY24: a] :
( ( sK1_Xp @ SY24 @ SY24 )
=> ( SY21 @ SY24 @ ( SY22 @ SY24 ) @ ( SY23 @ SY24 ) ) )
=> ( ! [SY25: a,SY26: a] :
( ( sK1_Xp @ SY25 @ SY26 )
=> ( SY21 @ SY25 @ ( SY22 @ SY25 ) @ ( SY22 @ SY26 ) ) )
=> ( ( ! [SY27: a,SY28: a] :
( ( sK1_Xp @ SY27 @ SY28 )
=> ( sK1_Xp @ SY28 @ SY27 ) )
& ! [SY29: a,SY30: a,SY31: a] :
( ( ( sK1_Xp @ SY29 @ SY30 )
& ( sK1_Xp @ SY30 @ SY31 ) )
=> ( sK1_Xp @ SY29 @ SY31 ) )
& ( sK1_Xp = sK1_Xp ) )
=> ( ! [SY32: a,SY33: a] :
( ( sK1_Xp @ SY32 @ SY33 )
=> ( ! [Xx0: b,Xy0: b] :
( ( SY21 @ SY32 @ Xx0 @ Xy0 )
=> ( SY21 @ SY32 @ Xy0 @ Xx0 ) )
& ! [Xx0: b,Xy0: b,Xz: b] :
( ( ( SY21 @ SY32 @ Xx0 @ Xy0 )
& ( SY21 @ SY32 @ Xy0 @ Xz ) )
=> ( SY21 @ SY32 @ Xx0 @ Xz ) )
& ( ( SY21 @ SY32 )
= ( SY21 @ SY33 ) ) ) )
=> ! [SY39: a,SY40: a] :
( ( sK1_Xp @ SY39 @ SY40 )
=> ( SY21 @ SY39 @ ( SY22 @ SY39 ) @ ( SY23 @ SY40 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[3]) ).
thf(5,plain,
( ( ! [SY41: a > b,SY42: a > b] :
( ! [SY43: a] :
( ( sK1_Xp @ SY43 @ SY43 )
=> ( sK2_SY21 @ SY43 @ ( SY41 @ SY43 ) @ ( SY42 @ SY43 ) ) )
=> ( ! [SY44: a,SY45: a] :
( ( sK1_Xp @ SY44 @ SY45 )
=> ( sK2_SY21 @ SY44 @ ( SY41 @ SY44 ) @ ( SY41 @ SY45 ) ) )
=> ( ( ! [SY27: a,SY28: a] :
( ( sK1_Xp @ SY27 @ SY28 )
=> ( sK1_Xp @ SY28 @ SY27 ) )
& ! [SY29: a,SY30: a,SY31: a] :
( ( ( sK1_Xp @ SY29 @ SY30 )
& ( sK1_Xp @ SY30 @ SY31 ) )
=> ( sK1_Xp @ SY29 @ SY31 ) )
& ( sK1_Xp = sK1_Xp ) )
=> ( ! [SY51: a,SY52: a] :
( ( sK1_Xp @ SY51 @ SY52 )
=> ( ! [SY53: b,SY54: b] :
( ( sK2_SY21 @ SY51 @ SY53 @ SY54 )
=> ( sK2_SY21 @ SY51 @ SY54 @ SY53 ) )
& ! [SY55: b,SY56: b,SY57: b] :
( ( ( sK2_SY21 @ SY51 @ SY55 @ SY56 )
& ( sK2_SY21 @ SY51 @ SY56 @ SY57 ) )
=> ( sK2_SY21 @ SY51 @ SY55 @ SY57 ) )
& ( ( sK2_SY21 @ SY51 )
= ( sK2_SY21 @ SY52 ) ) ) )
=> ! [SY58: a,SY59: a] :
( ( sK1_Xp @ SY58 @ SY59 )
=> ( sK2_SY21 @ SY58 @ ( SY41 @ SY58 ) @ ( SY42 @ SY59 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[4]) ).
thf(6,plain,
( ( ! [SY60: a > b] :
( ! [SY61: a] :
( ( sK1_Xp @ SY61 @ SY61 )
=> ( sK2_SY21 @ SY61 @ ( sK3_SY41 @ SY61 ) @ ( SY60 @ SY61 ) ) )
=> ( ! [SY62: a,SY63: a] :
( ( sK1_Xp @ SY62 @ SY63 )
=> ( sK2_SY21 @ SY62 @ ( sK3_SY41 @ SY62 ) @ ( sK3_SY41 @ SY63 ) ) )
=> ( ( ! [SY27: a,SY28: a] :
( ( sK1_Xp @ SY27 @ SY28 )
=> ( sK1_Xp @ SY28 @ SY27 ) )
& ! [SY29: a,SY30: a,SY31: a] :
( ( ( sK1_Xp @ SY29 @ SY30 )
& ( sK1_Xp @ SY30 @ SY31 ) )
=> ( sK1_Xp @ SY29 @ SY31 ) )
& ( sK1_Xp = sK1_Xp ) )
=> ( ! [SY51: a,SY52: a] :
( ( sK1_Xp @ SY51 @ SY52 )
=> ( ! [SY53: b,SY54: b] :
( ( sK2_SY21 @ SY51 @ SY53 @ SY54 )
=> ( sK2_SY21 @ SY51 @ SY54 @ SY53 ) )
& ! [SY55: b,SY56: b,SY57: b] :
( ( ( sK2_SY21 @ SY51 @ SY55 @ SY56 )
& ( sK2_SY21 @ SY51 @ SY56 @ SY57 ) )
=> ( sK2_SY21 @ SY51 @ SY55 @ SY57 ) )
& ( ( sK2_SY21 @ SY51 )
= ( sK2_SY21 @ SY52 ) ) ) )
=> ! [SY76: a,SY77: a] :
( ( sK1_Xp @ SY76 @ SY77 )
=> ( sK2_SY21 @ SY76 @ ( sK3_SY41 @ SY76 ) @ ( SY60 @ SY77 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[5]) ).
thf(7,plain,
( ( ! [SY78: a] :
( ( sK1_Xp @ SY78 @ SY78 )
=> ( sK2_SY21 @ SY78 @ ( sK3_SY41 @ SY78 ) @ ( sK4_SY60 @ SY78 ) ) )
=> ( ! [SY62: a,SY63: a] :
( ( sK1_Xp @ SY62 @ SY63 )
=> ( sK2_SY21 @ SY62 @ ( sK3_SY41 @ SY62 ) @ ( sK3_SY41 @ SY63 ) ) )
=> ( ( ! [SY27: a,SY28: a] :
( ( sK1_Xp @ SY27 @ SY28 )
=> ( sK1_Xp @ SY28 @ SY27 ) )
& ! [SY29: a,SY30: a,SY31: a] :
( ( ( sK1_Xp @ SY29 @ SY30 )
& ( sK1_Xp @ SY30 @ SY31 ) )
=> ( sK1_Xp @ SY29 @ SY31 ) )
& ( sK1_Xp = sK1_Xp ) )
=> ( ! [SY51: a,SY52: a] :
( ( sK1_Xp @ SY51 @ SY52 )
=> ( ! [SY53: b,SY54: b] :
( ( sK2_SY21 @ SY51 @ SY53 @ SY54 )
=> ( sK2_SY21 @ SY51 @ SY54 @ SY53 ) )
& ! [SY55: b,SY56: b,SY57: b] :
( ( ( sK2_SY21 @ SY51 @ SY55 @ SY56 )
& ( sK2_SY21 @ SY51 @ SY56 @ SY57 ) )
=> ( sK2_SY21 @ SY51 @ SY55 @ SY57 ) )
& ( ( sK2_SY21 @ SY51 )
= ( sK2_SY21 @ SY52 ) ) ) )
=> ! [SY93: a,SY94: a] :
( ( sK1_Xp @ SY93 @ SY94 )
=> ( sK2_SY21 @ SY93 @ ( sK3_SY41 @ SY93 ) @ ( sK4_SY60 @ SY94 ) ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[6]) ).
thf(8,plain,
( ( ! [SY78: a] :
( ( sK1_Xp @ SY78 @ SY78 )
=> ( sK2_SY21 @ SY78 @ ( sK3_SY41 @ SY78 ) @ ( sK4_SY60 @ SY78 ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[7]) ).
thf(9,plain,
( ( ! [SY62: a,SY63: a] :
( ( sK1_Xp @ SY62 @ SY63 )
=> ( sK2_SY21 @ SY62 @ ( sK3_SY41 @ SY62 ) @ ( sK3_SY41 @ SY63 ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[7]) ).
thf(10,plain,
( ( ! [SY27: a,SY28: a] :
( ( sK1_Xp @ SY27 @ SY28 )
=> ( sK1_Xp @ SY28 @ SY27 ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[7]) ).
thf(11,plain,
( ( ! [SY29: a,SY30: a,SY31: a] :
( ( ( sK1_Xp @ SY29 @ SY30 )
& ( sK1_Xp @ SY30 @ SY31 ) )
=> ( sK1_Xp @ SY29 @ SY31 ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[7]) ).
thf(12,plain,
( ( sK1_Xp = sK1_Xp )
= $true ),
inference(standard_cnf,[status(thm)],[7]) ).
thf(13,plain,
( ( ! [SY51: a,SY52: a] :
( ( sK1_Xp @ SY51 @ SY52 )
=> ( ! [SY53: b,SY54: b] :
( ( sK2_SY21 @ SY51 @ SY53 @ SY54 )
=> ( sK2_SY21 @ SY51 @ SY54 @ SY53 ) )
& ! [SY55: b,SY56: b,SY57: b] :
( ( ( sK2_SY21 @ SY51 @ SY55 @ SY56 )
& ( sK2_SY21 @ SY51 @ SY56 @ SY57 ) )
=> ( sK2_SY21 @ SY51 @ SY55 @ SY57 ) )
& ( ( sK2_SY21 @ SY51 )
= ( sK2_SY21 @ SY52 ) ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[7]) ).
thf(14,plain,
( ( ! [SY93: a,SY94: a] :
( ( sK1_Xp @ SY93 @ SY94 )
=> ( sK2_SY21 @ SY93 @ ( sK3_SY41 @ SY93 ) @ ( sK4_SY60 @ SY94 ) ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[7]) ).
thf(15,plain,
( ( ~ ! [SY93: a,SY94: a] :
( ( sK1_Xp @ SY93 @ SY94 )
=> ( sK2_SY21 @ SY93 @ ( sK3_SY41 @ SY93 ) @ ( sK4_SY60 @ SY94 ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[14]) ).
thf(16,plain,
( ( ( sK1_Xp @ sK5_SY93 @ sK6_SY95 )
& ~ ( sK2_SY21 @ sK5_SY93 @ ( sK3_SY41 @ sK5_SY93 ) @ ( sK4_SY60 @ sK6_SY95 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[15]) ).
thf(17,plain,
( ( ! [SY78: a] :
( ~ ( sK1_Xp @ SY78 @ SY78 )
| ( sK2_SY21 @ SY78 @ ( sK3_SY41 @ SY78 ) @ ( sK4_SY60 @ SY78 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[8]) ).
thf(18,plain,
( ( ! [SY62: a,SY63: a] :
( ~ ( sK1_Xp @ SY62 @ SY63 )
| ( sK2_SY21 @ SY62 @ ( sK3_SY41 @ SY62 ) @ ( sK3_SY41 @ SY63 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[9]) ).
thf(19,plain,
( ( ! [SY27: a,SY28: a] :
( ~ ( sK1_Xp @ SY27 @ SY28 )
| ( sK1_Xp @ SY28 @ SY27 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[10]) ).
thf(20,plain,
( ( ! [SY29: a,SY30: a,SY31: a] :
( ~ ( sK1_Xp @ SY29 @ SY30 )
| ~ ( sK1_Xp @ SY30 @ SY31 )
| ( sK1_Xp @ SY29 @ SY31 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[11]) ).
thf(21,plain,
$true = $true,
inference(extcnf_combined,[status(esa)],[12]) ).
thf(22,plain,
( ( ! [SY51: a] :
( ! [SY52: a] :
~ ( sK1_Xp @ SY51 @ SY52 )
| ! [SY53: b,SY54: b] :
( ~ ( sK2_SY21 @ SY51 @ SY53 @ SY54 )
| ( sK2_SY21 @ SY51 @ SY54 @ SY53 ) ) )
& ! [SY51: a] :
( ! [SY52: a] :
~ ( sK1_Xp @ SY51 @ SY52 )
| ! [SY55: b,SY56: b,SY57: b] :
( ~ ( sK2_SY21 @ SY51 @ SY55 @ SY56 )
| ~ ( sK2_SY21 @ SY51 @ SY56 @ SY57 )
| ( sK2_SY21 @ SY51 @ SY55 @ SY57 ) ) )
& ! [SY51: a,SY52: a] :
( ~ ( sK1_Xp @ SY51 @ SY52 )
| ( ( sK2_SY21 @ SY51 )
= ( sK2_SY21 @ SY52 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[13]) ).
thf(23,plain,
( ( ! [SY51: a] :
( ! [SY52: a] :
~ ( sK1_Xp @ SY51 @ SY52 )
| ! [SY53: b,SY54: b] :
( ~ ( sK2_SY21 @ SY51 @ SY53 @ SY54 )
| ( sK2_SY21 @ SY51 @ SY54 @ SY53 ) ) )
& ! [SY51: a] :
( ! [SY52: a] :
~ ( sK1_Xp @ SY51 @ SY52 )
| ! [SY55: b,SY56: b,SY57: b] :
( ~ ( sK2_SY21 @ SY51 @ SY55 @ SY56 )
| ~ ( sK2_SY21 @ SY51 @ SY56 @ SY57 )
| ( sK2_SY21 @ SY51 @ SY55 @ SY57 ) ) )
& ! [SY51: a,SY52: a] :
( ~ ( sK1_Xp @ SY51 @ SY52 )
| ( ( sK2_SY21 @ SY51 )
= ( sK2_SY21 @ SY52 ) ) ) )
= $true ),
inference(copy,[status(thm)],[22]) ).
thf(24,plain,
$true = $true,
inference(copy,[status(thm)],[21]) ).
thf(25,plain,
( ( ! [SY29: a,SY30: a,SY31: a] :
( ~ ( sK1_Xp @ SY29 @ SY30 )
| ~ ( sK1_Xp @ SY30 @ SY31 )
| ( sK1_Xp @ SY29 @ SY31 ) ) )
= $true ),
inference(copy,[status(thm)],[20]) ).
thf(26,plain,
( ( ! [SY27: a,SY28: a] :
( ~ ( sK1_Xp @ SY27 @ SY28 )
| ( sK1_Xp @ SY28 @ SY27 ) ) )
= $true ),
inference(copy,[status(thm)],[19]) ).
thf(27,plain,
( ( ! [SY62: a,SY63: a] :
( ~ ( sK1_Xp @ SY62 @ SY63 )
| ( sK2_SY21 @ SY62 @ ( sK3_SY41 @ SY62 ) @ ( sK3_SY41 @ SY63 ) ) ) )
= $true ),
inference(copy,[status(thm)],[18]) ).
thf(28,plain,
( ( ! [SY78: a] :
( ~ ( sK1_Xp @ SY78 @ SY78 )
| ( sK2_SY21 @ SY78 @ ( sK3_SY41 @ SY78 ) @ ( sK4_SY60 @ SY78 ) ) ) )
= $true ),
inference(copy,[status(thm)],[17]) ).
thf(29,plain,
( ( ( sK1_Xp @ sK5_SY93 @ sK6_SY95 )
& ~ ( sK2_SY21 @ sK5_SY93 @ ( sK3_SY41 @ sK5_SY93 ) @ ( sK4_SY60 @ sK6_SY95 ) ) )
= $true ),
inference(copy,[status(thm)],[16]) ).
thf(30,plain,
( ( ~ ( ~ ( sK1_Xp @ sK5_SY93 @ sK6_SY95 )
| ~ ~ ( sK2_SY21 @ sK5_SY93 @ ( sK3_SY41 @ sK5_SY93 ) @ ( sK4_SY60 @ sK6_SY95 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[29]) ).
thf(31,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: a] :
( ! [SX1: a] :
~ ( sK1_Xp @ SX0 @ SX1 )
| ! [SX1: b,SX2: b] :
( ~ ( sK2_SY21 @ SX0 @ SX1 @ SX2 )
| ( sK2_SY21 @ SX0 @ SX2 @ SX1 ) ) )
| ~ ! [SX0: a] :
( ! [SX1: a] :
~ ( sK1_Xp @ SX0 @ SX1 )
| ! [SX1: b,SX2: b,SX3: b] :
( ~ ( sK2_SY21 @ SX0 @ SX1 @ SX2 )
| ~ ( sK2_SY21 @ SX0 @ SX2 @ SX3 )
| ( sK2_SY21 @ SX0 @ SX1 @ SX3 ) ) ) )
| ~ ! [SX0: a,SX1: a] :
( ~ ( sK1_Xp @ SX0 @ SX1 )
| ( ( sK2_SY21 @ SX0 )
= ( sK2_SY21 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[23]) ).
thf(32,plain,
! [SV1: a] :
( ( ! [SY96: a,SY97: a] :
( ~ ( sK1_Xp @ SV1 @ SY96 )
| ~ ( sK1_Xp @ SY96 @ SY97 )
| ( sK1_Xp @ SV1 @ SY97 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[25]) ).
thf(33,plain,
! [SV2: a] :
( ( ! [SY98: a] :
( ~ ( sK1_Xp @ SV2 @ SY98 )
| ( sK1_Xp @ SY98 @ SV2 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[26]) ).
thf(34,plain,
! [SV3: a] :
( ( ! [SY99: a] :
( ~ ( sK1_Xp @ SV3 @ SY99 )
| ( sK2_SY21 @ SV3 @ ( sK3_SY41 @ SV3 ) @ ( sK3_SY41 @ SY99 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[27]) ).
thf(35,plain,
! [SV4: a] :
( ( ~ ( sK1_Xp @ SV4 @ SV4 )
| ( sK2_SY21 @ SV4 @ ( sK3_SY41 @ SV4 ) @ ( sK4_SY60 @ SV4 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[28]) ).
thf(36,plain,
( ( ~ ( sK1_Xp @ sK5_SY93 @ sK6_SY95 )
| ~ ~ ( sK2_SY21 @ sK5_SY93 @ ( sK3_SY41 @ sK5_SY93 ) @ ( sK4_SY60 @ sK6_SY95 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[30]) ).
thf(37,plain,
( ( ~ ~ ( ~ ! [SX0: a] :
( ! [SX1: a] :
~ ( sK1_Xp @ SX0 @ SX1 )
| ! [SX1: b,SX2: b] :
( ~ ( sK2_SY21 @ SX0 @ SX1 @ SX2 )
| ( sK2_SY21 @ SX0 @ SX2 @ SX1 ) ) )
| ~ ! [SX0: a] :
( ! [SX1: a] :
~ ( sK1_Xp @ SX0 @ SX1 )
| ! [SX1: b,SX2: b,SX3: b] :
( ~ ( sK2_SY21 @ SX0 @ SX1 @ SX2 )
| ~ ( sK2_SY21 @ SX0 @ SX2 @ SX3 )
| ( sK2_SY21 @ SX0 @ SX1 @ SX3 ) ) ) )
| ~ ! [SX0: a,SX1: a] :
( ~ ( sK1_Xp @ SX0 @ SX1 )
| ( ( sK2_SY21 @ SX0 )
= ( sK2_SY21 @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[31]) ).
thf(38,plain,
! [SV5: a,SV1: a] :
( ( ! [SY100: a] :
( ~ ( sK1_Xp @ SV1 @ SV5 )
| ~ ( sK1_Xp @ SV5 @ SY100 )
| ( sK1_Xp @ SV1 @ SY100 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[32]) ).
thf(39,plain,
! [SV6: a,SV2: a] :
( ( ~ ( sK1_Xp @ SV2 @ SV6 )
| ( sK1_Xp @ SV6 @ SV2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[33]) ).
thf(40,plain,
! [SV7: a,SV3: a] :
( ( ~ ( sK1_Xp @ SV3 @ SV7 )
| ( sK2_SY21 @ SV3 @ ( sK3_SY41 @ SV3 ) @ ( sK3_SY41 @ SV7 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[34]) ).
thf(41,plain,
! [SV4: a] :
( ( ( ~ ( sK1_Xp @ SV4 @ SV4 ) )
= $true )
| ( ( sK2_SY21 @ SV4 @ ( sK3_SY41 @ SV4 ) @ ( sK4_SY60 @ SV4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[35]) ).
thf(42,plain,
( ( ~ ( sK1_Xp @ sK5_SY93 @ sK6_SY95 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[36]) ).
thf(43,plain,
( ( ~ ~ ( sK2_SY21 @ sK5_SY93 @ ( sK3_SY41 @ sK5_SY93 ) @ ( sK4_SY60 @ sK6_SY95 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[36]) ).
thf(44,plain,
( ( ~ ~ ( ~ ! [SX0: a] :
( ! [SX1: a] :
~ ( sK1_Xp @ SX0 @ SX1 )
| ! [SX1: b,SX2: b] :
( ~ ( sK2_SY21 @ SX0 @ SX1 @ SX2 )
| ( sK2_SY21 @ SX0 @ SX2 @ SX1 ) ) )
| ~ ! [SX0: a] :
( ! [SX1: a] :
~ ( sK1_Xp @ SX0 @ SX1 )
| ! [SX1: b,SX2: b,SX3: b] :
( ~ ( sK2_SY21 @ SX0 @ SX1 @ SX2 )
| ~ ( sK2_SY21 @ SX0 @ SX2 @ SX3 )
| ( sK2_SY21 @ SX0 @ SX1 @ SX3 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[37]) ).
thf(45,plain,
( ( ~ ! [SX0: a,SX1: a] :
( ~ ( sK1_Xp @ SX0 @ SX1 )
| ( ( sK2_SY21 @ SX0 )
= ( sK2_SY21 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[37]) ).
thf(46,plain,
! [SV8: a,SV5: a,SV1: a] :
( ( ~ ( sK1_Xp @ SV1 @ SV5 )
| ~ ( sK1_Xp @ SV5 @ SV8 )
| ( sK1_Xp @ SV1 @ SV8 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[38]) ).
thf(47,plain,
! [SV6: a,SV2: a] :
( ( ( ~ ( sK1_Xp @ SV2 @ SV6 ) )
= $true )
| ( ( sK1_Xp @ SV6 @ SV2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[39]) ).
thf(48,plain,
! [SV7: a,SV3: a] :
( ( ( ~ ( sK1_Xp @ SV3 @ SV7 ) )
= $true )
| ( ( sK2_SY21 @ SV3 @ ( sK3_SY41 @ SV3 ) @ ( sK3_SY41 @ SV7 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[40]) ).
thf(49,plain,
! [SV4: a] :
( ( ( sK1_Xp @ SV4 @ SV4 )
= $false )
| ( ( sK2_SY21 @ SV4 @ ( sK3_SY41 @ SV4 ) @ ( sK4_SY60 @ SV4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[41]) ).
thf(50,plain,
( ( sK1_Xp @ sK5_SY93 @ sK6_SY95 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[42]) ).
thf(51,plain,
( ( ~ ( sK2_SY21 @ sK5_SY93 @ ( sK3_SY41 @ sK5_SY93 ) @ ( sK4_SY60 @ sK6_SY95 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[43]) ).
thf(52,plain,
( ( ~ ( ~ ! [SX0: a] :
( ! [SX1: a] :
~ ( sK1_Xp @ SX0 @ SX1 )
| ! [SX1: b,SX2: b] :
( ~ ( sK2_SY21 @ SX0 @ SX1 @ SX2 )
| ( sK2_SY21 @ SX0 @ SX2 @ SX1 ) ) )
| ~ ! [SX0: a] :
( ! [SX1: a] :
~ ( sK1_Xp @ SX0 @ SX1 )
| ! [SX1: b,SX2: b,SX3: b] :
( ~ ( sK2_SY21 @ SX0 @ SX1 @ SX2 )
| ~ ( sK2_SY21 @ SX0 @ SX2 @ SX3 )
| ( sK2_SY21 @ SX0 @ SX1 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[44]) ).
thf(53,plain,
( ( ! [SX0: a,SX1: a] :
( ~ ( sK1_Xp @ SX0 @ SX1 )
| ( ( sK2_SY21 @ SX0 )
= ( sK2_SY21 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[45]) ).
thf(54,plain,
! [SV8: a,SV5: a,SV1: a] :
( ( ( ~ ( sK1_Xp @ SV1 @ SV5 )
| ~ ( sK1_Xp @ SV5 @ SV8 ) )
= $true )
| ( ( sK1_Xp @ SV1 @ SV8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[46]) ).
thf(55,plain,
! [SV6: a,SV2: a] :
( ( ( sK1_Xp @ SV2 @ SV6 )
= $false )
| ( ( sK1_Xp @ SV6 @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[47]) ).
thf(56,plain,
! [SV7: a,SV3: a] :
( ( ( sK1_Xp @ SV3 @ SV7 )
= $false )
| ( ( sK2_SY21 @ SV3 @ ( sK3_SY41 @ SV3 ) @ ( sK3_SY41 @ SV7 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[48]) ).
thf(57,plain,
( ( sK2_SY21 @ sK5_SY93 @ ( sK3_SY41 @ sK5_SY93 ) @ ( sK4_SY60 @ sK6_SY95 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[51]) ).
thf(58,plain,
( ( ~ ! [SX0: a] :
( ! [SX1: a] :
~ ( sK1_Xp @ SX0 @ SX1 )
| ! [SX1: b,SX2: b] :
( ~ ( sK2_SY21 @ SX0 @ SX1 @ SX2 )
| ( sK2_SY21 @ SX0 @ SX2 @ SX1 ) ) )
| ~ ! [SX0: a] :
( ! [SX1: a] :
~ ( sK1_Xp @ SX0 @ SX1 )
| ! [SX1: b,SX2: b,SX3: b] :
( ~ ( sK2_SY21 @ SX0 @ SX1 @ SX2 )
| ~ ( sK2_SY21 @ SX0 @ SX2 @ SX3 )
| ( sK2_SY21 @ SX0 @ SX1 @ SX3 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[52]) ).
thf(59,plain,
! [SV9: a] :
( ( ! [SY101: a] :
( ~ ( sK1_Xp @ SV9 @ SY101 )
| ( ( sK2_SY21 @ SV9 )
= ( sK2_SY21 @ SY101 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[53]) ).
thf(60,plain,
! [SV8: a,SV5: a,SV1: a] :
( ( ( ~ ( sK1_Xp @ SV1 @ SV5 ) )
= $true )
| ( ( ~ ( sK1_Xp @ SV5 @ SV8 ) )
= $true )
| ( ( sK1_Xp @ SV1 @ SV8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[54]) ).
thf(61,plain,
( ( ~ ! [SX0: a] :
( ! [SX1: a] :
~ ( sK1_Xp @ SX0 @ SX1 )
| ! [SX1: b,SX2: b] :
( ~ ( sK2_SY21 @ SX0 @ SX1 @ SX2 )
| ( sK2_SY21 @ SX0 @ SX2 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[58]) ).
thf(62,plain,
( ( ~ ! [SX0: a] :
( ! [SX1: a] :
~ ( sK1_Xp @ SX0 @ SX1 )
| ! [SX1: b,SX2: b,SX3: b] :
( ~ ( sK2_SY21 @ SX0 @ SX1 @ SX2 )
| ~ ( sK2_SY21 @ SX0 @ SX2 @ SX3 )
| ( sK2_SY21 @ SX0 @ SX1 @ SX3 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[58]) ).
thf(63,plain,
! [SV10: a,SV9: a] :
( ( ~ ( sK1_Xp @ SV9 @ SV10 )
| ( ( sK2_SY21 @ SV9 )
= ( sK2_SY21 @ SV10 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[59]) ).
thf(64,plain,
! [SV8: a,SV5: a,SV1: a] :
( ( ( sK1_Xp @ SV1 @ SV5 )
= $false )
| ( ( ~ ( sK1_Xp @ SV5 @ SV8 ) )
= $true )
| ( ( sK1_Xp @ SV1 @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[60]) ).
thf(65,plain,
( ( ! [SX0: a] :
( ! [SX1: a] :
~ ( sK1_Xp @ SX0 @ SX1 )
| ! [SX1: b,SX2: b] :
( ~ ( sK2_SY21 @ SX0 @ SX1 @ SX2 )
| ( sK2_SY21 @ SX0 @ SX2 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[61]) ).
thf(66,plain,
( ( ! [SX0: a] :
( ! [SX1: a] :
~ ( sK1_Xp @ SX0 @ SX1 )
| ! [SX1: b,SX2: b,SX3: b] :
( ~ ( sK2_SY21 @ SX0 @ SX1 @ SX2 )
| ~ ( sK2_SY21 @ SX0 @ SX2 @ SX3 )
| ( sK2_SY21 @ SX0 @ SX1 @ SX3 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[62]) ).
thf(67,plain,
! [SV10: a,SV9: a] :
( ( ( ~ ( sK1_Xp @ SV9 @ SV10 ) )
= $true )
| ( ( ( sK2_SY21 @ SV9 )
= ( sK2_SY21 @ SV10 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[63]) ).
thf(68,plain,
! [SV1: a,SV8: a,SV5: a] :
( ( ( sK1_Xp @ SV5 @ SV8 )
= $false )
| ( ( sK1_Xp @ SV1 @ SV5 )
= $false )
| ( ( sK1_Xp @ SV1 @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[64]) ).
thf(69,plain,
! [SV11: a] :
( ( ! [SY102: a] :
~ ( sK1_Xp @ SV11 @ SY102 )
| ! [SY103: b,SY104: b] :
( ~ ( sK2_SY21 @ SV11 @ SY103 @ SY104 )
| ( sK2_SY21 @ SV11 @ SY104 @ SY103 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[65]) ).
thf(70,plain,
! [SV12: a] :
( ( ! [SY105: a] :
~ ( sK1_Xp @ SV12 @ SY105 )
| ! [SY106: b,SY107: b,SY108: b] :
( ~ ( sK2_SY21 @ SV12 @ SY106 @ SY107 )
| ~ ( sK2_SY21 @ SV12 @ SY107 @ SY108 )
| ( sK2_SY21 @ SV12 @ SY106 @ SY108 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[66]) ).
thf(71,plain,
! [SV10: a,SV9: a] :
( ( ( sK1_Xp @ SV9 @ SV10 )
= $false )
| ( ( ( sK2_SY21 @ SV9 )
= ( sK2_SY21 @ SV10 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[67]) ).
thf(72,plain,
! [SV11: a] :
( ( ( ! [SY102: a] :
~ ( sK1_Xp @ SV11 @ SY102 ) )
= $true )
| ( ( ! [SY103: b,SY104: b] :
( ~ ( sK2_SY21 @ SV11 @ SY103 @ SY104 )
| ( sK2_SY21 @ SV11 @ SY104 @ SY103 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[69]) ).
thf(73,plain,
! [SV12: a] :
( ( ( ! [SY105: a] :
~ ( sK1_Xp @ SV12 @ SY105 ) )
= $true )
| ( ( ! [SY106: b,SY107: b,SY108: b] :
( ~ ( sK2_SY21 @ SV12 @ SY106 @ SY107 )
| ~ ( sK2_SY21 @ SV12 @ SY107 @ SY108 )
| ( sK2_SY21 @ SV12 @ SY106 @ SY108 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[70]) ).
thf(74,plain,
! [SV10: a,SV9: a] :
( ( ( ! [SV13: b] :
( ( sK2_SY21 @ SV9 @ SV13 )
= ( sK2_SY21 @ SV10 @ SV13 ) ) )
= $true )
| ( ( sK1_Xp @ SV9 @ SV10 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[71]) ).
thf(75,plain,
! [SV10: a,SV9: a] :
( ( ( ( sK2_SY21 @ SV9 )
= ( sK2_SY21 @ SV10 ) )
= $true )
| ( ( sK1_Xp @ SV9 @ SV10 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[71]) ).
thf(76,plain,
! [SV14: a,SV11: a] :
( ( ( ~ ( sK1_Xp @ SV11 @ SV14 ) )
= $true )
| ( ( ! [SY103: b,SY104: b] :
( ~ ( sK2_SY21 @ SV11 @ SY103 @ SY104 )
| ( sK2_SY21 @ SV11 @ SY104 @ SY103 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[72]) ).
thf(77,plain,
! [SV15: a,SV12: a] :
( ( ( ~ ( sK1_Xp @ SV12 @ SV15 ) )
= $true )
| ( ( ! [SY106: b,SY107: b,SY108: b] :
( ~ ( sK2_SY21 @ SV12 @ SY106 @ SY107 )
| ~ ( sK2_SY21 @ SV12 @ SY107 @ SY108 )
| ( sK2_SY21 @ SV12 @ SY106 @ SY108 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[73]) ).
thf(78,plain,
! [SV10: a,SV16: b,SV9: a] :
( ( ( ( sK2_SY21 @ SV9 @ SV16 )
= ( sK2_SY21 @ SV10 @ SV16 ) )
= $true )
| ( ( sK1_Xp @ SV9 @ SV10 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[74]) ).
thf(79,plain,
! [SV14: a,SV11: a] :
( ( ( sK1_Xp @ SV11 @ SV14 )
= $false )
| ( ( ! [SY103: b,SY104: b] :
( ~ ( sK2_SY21 @ SV11 @ SY103 @ SY104 )
| ( sK2_SY21 @ SV11 @ SY104 @ SY103 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[76]) ).
thf(80,plain,
! [SV15: a,SV12: a] :
( ( ( sK1_Xp @ SV12 @ SV15 )
= $false )
| ( ( ! [SY106: b,SY107: b,SY108: b] :
( ~ ( sK2_SY21 @ SV12 @ SY106 @ SY107 )
| ~ ( sK2_SY21 @ SV12 @ SY107 @ SY108 )
| ( sK2_SY21 @ SV12 @ SY106 @ SY108 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[77]) ).
thf(81,plain,
! [SV10: a,SV16: b,SV9: a] :
( ( ( ! [SV17: b] :
( ( sK2_SY21 @ SV9 @ SV16 @ SV17 )
= ( sK2_SY21 @ SV10 @ SV16 @ SV17 ) ) )
= $true )
| ( ( sK1_Xp @ SV9 @ SV10 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[78]) ).
thf(82,plain,
! [SV10: a,SV16: b,SV9: a] :
( ( ( ( sK2_SY21 @ SV9 @ SV16 )
= ( sK2_SY21 @ SV10 @ SV16 ) )
= $true )
| ( ( sK1_Xp @ SV9 @ SV10 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[78]) ).
thf(83,plain,
! [SV14: a,SV18: b,SV11: a] :
( ( ( ! [SY109: b] :
( ~ ( sK2_SY21 @ SV11 @ SV18 @ SY109 )
| ( sK2_SY21 @ SV11 @ SY109 @ SV18 ) ) )
= $true )
| ( ( sK1_Xp @ SV11 @ SV14 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[79]) ).
thf(84,plain,
! [SV15: a,SV19: b,SV12: a] :
( ( ( ! [SY110: b,SY111: b] :
( ~ ( sK2_SY21 @ SV12 @ SV19 @ SY110 )
| ~ ( sK2_SY21 @ SV12 @ SY110 @ SY111 )
| ( sK2_SY21 @ SV12 @ SV19 @ SY111 ) ) )
= $true )
| ( ( sK1_Xp @ SV12 @ SV15 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[80]) ).
thf(85,plain,
! [SV10: a,SV20: b,SV16: b,SV9: a] :
( ( ( ( sK2_SY21 @ SV9 @ SV16 @ SV20 )
= ( sK2_SY21 @ SV10 @ SV16 @ SV20 ) )
= $true )
| ( ( sK1_Xp @ SV9 @ SV10 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[81]) ).
thf(86,plain,
! [SV14: a,SV21: b,SV18: b,SV11: a] :
( ( ( ~ ( sK2_SY21 @ SV11 @ SV18 @ SV21 )
| ( sK2_SY21 @ SV11 @ SV21 @ SV18 ) )
= $true )
| ( ( sK1_Xp @ SV11 @ SV14 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[83]) ).
thf(87,plain,
! [SV15: a,SV22: b,SV19: b,SV12: a] :
( ( ( ! [SY112: b] :
( ~ ( sK2_SY21 @ SV12 @ SV19 @ SV22 )
| ~ ( sK2_SY21 @ SV12 @ SV22 @ SY112 )
| ( sK2_SY21 @ SV12 @ SV19 @ SY112 ) ) )
= $true )
| ( ( sK1_Xp @ SV12 @ SV15 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[84]) ).
thf(88,plain,
! [SV10: a,SV20: b,SV16: b,SV9: a] :
( ( ( ~ ( ( sK2_SY21 @ SV9 @ SV16 @ SV20 )
| ( sK2_SY21 @ SV10 @ SV16 @ SV20 ) )
| ~ ( ~ ( sK2_SY21 @ SV9 @ SV16 @ SV20 )
| ~ ( sK2_SY21 @ SV10 @ SV16 @ SV20 ) ) )
= $true )
| ( ( sK1_Xp @ SV9 @ SV10 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[85]) ).
thf(89,plain,
! [SV10: a,SV20: b,SV16: b,SV9: a] :
( ( ( ( sK2_SY21 @ SV9 @ SV16 @ SV20 )
= ( sK2_SY21 @ SV10 @ SV16 @ SV20 ) )
= $true )
| ( ( sK1_Xp @ SV9 @ SV10 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[85]) ).
thf(90,plain,
! [SV14: a,SV21: b,SV18: b,SV11: a] :
( ( ( ~ ( sK2_SY21 @ SV11 @ SV18 @ SV21 ) )
= $true )
| ( ( sK2_SY21 @ SV11 @ SV21 @ SV18 )
= $true )
| ( ( sK1_Xp @ SV11 @ SV14 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[86]) ).
thf(91,plain,
! [SV15: a,SV23: b,SV22: b,SV19: b,SV12: a] :
( ( ( ~ ( sK2_SY21 @ SV12 @ SV19 @ SV22 )
| ~ ( sK2_SY21 @ SV12 @ SV22 @ SV23 )
| ( sK2_SY21 @ SV12 @ SV19 @ SV23 ) )
= $true )
| ( ( sK1_Xp @ SV12 @ SV15 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[87]) ).
thf(92,plain,
! [SV10: a,SV20: b,SV16: b,SV9: a] :
( ( ( ~ ( ( sK2_SY21 @ SV9 @ SV16 @ SV20 )
| ( sK2_SY21 @ SV10 @ SV16 @ SV20 ) ) )
= $true )
| ( ( ~ ( ~ ( sK2_SY21 @ SV9 @ SV16 @ SV20 )
| ~ ( sK2_SY21 @ SV10 @ SV16 @ SV20 ) ) )
= $true )
| ( ( sK1_Xp @ SV9 @ SV10 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[88]) ).
thf(93,plain,
! [SV14: a,SV21: b,SV18: b,SV11: a] :
( ( ( sK2_SY21 @ SV11 @ SV18 @ SV21 )
= $false )
| ( ( sK2_SY21 @ SV11 @ SV21 @ SV18 )
= $true )
| ( ( sK1_Xp @ SV11 @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[90]) ).
thf(94,plain,
! [SV15: a,SV23: b,SV22: b,SV19: b,SV12: a] :
( ( ( ~ ( sK2_SY21 @ SV12 @ SV19 @ SV22 )
| ~ ( sK2_SY21 @ SV12 @ SV22 @ SV23 ) )
= $true )
| ( ( sK2_SY21 @ SV12 @ SV19 @ SV23 )
= $true )
| ( ( sK1_Xp @ SV12 @ SV15 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[91]) ).
thf(95,plain,
! [SV10: a,SV20: b,SV16: b,SV9: a] :
( ( ( ( sK2_SY21 @ SV9 @ SV16 @ SV20 )
| ( sK2_SY21 @ SV10 @ SV16 @ SV20 ) )
= $false )
| ( ( ~ ( ~ ( sK2_SY21 @ SV9 @ SV16 @ SV20 )
| ~ ( sK2_SY21 @ SV10 @ SV16 @ SV20 ) ) )
= $true )
| ( ( sK1_Xp @ SV9 @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[92]) ).
thf(96,plain,
! [SV15: a,SV23: b,SV22: b,SV19: b,SV12: a] :
( ( ( ~ ( sK2_SY21 @ SV12 @ SV19 @ SV22 ) )
= $true )
| ( ( ~ ( sK2_SY21 @ SV12 @ SV22 @ SV23 ) )
= $true )
| ( ( sK2_SY21 @ SV12 @ SV19 @ SV23 )
= $true )
| ( ( sK1_Xp @ SV12 @ SV15 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[94]) ).
thf(97,plain,
! [SV10: a,SV20: b,SV16: b,SV9: a] :
( ( ( sK2_SY21 @ SV9 @ SV16 @ SV20 )
= $false )
| ( ( ~ ( ~ ( sK2_SY21 @ SV9 @ SV16 @ SV20 )
| ~ ( sK2_SY21 @ SV10 @ SV16 @ SV20 ) ) )
= $true )
| ( ( sK1_Xp @ SV9 @ SV10 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[95]) ).
thf(98,plain,
! [SV9: a,SV20: b,SV16: b,SV10: a] :
( ( ( sK2_SY21 @ SV10 @ SV16 @ SV20 )
= $false )
| ( ( ~ ( ~ ( sK2_SY21 @ SV9 @ SV16 @ SV20 )
| ~ ( sK2_SY21 @ SV10 @ SV16 @ SV20 ) ) )
= $true )
| ( ( sK1_Xp @ SV9 @ SV10 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[95]) ).
thf(99,plain,
! [SV15: a,SV23: b,SV22: b,SV19: b,SV12: a] :
( ( ( sK2_SY21 @ SV12 @ SV19 @ SV22 )
= $false )
| ( ( ~ ( sK2_SY21 @ SV12 @ SV22 @ SV23 ) )
= $true )
| ( ( sK2_SY21 @ SV12 @ SV19 @ SV23 )
= $true )
| ( ( sK1_Xp @ SV12 @ SV15 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[96]) ).
thf(100,plain,
! [SV10: a,SV20: b,SV16: b,SV9: a] :
( ( ( ~ ( sK2_SY21 @ SV9 @ SV16 @ SV20 )
| ~ ( sK2_SY21 @ SV10 @ SV16 @ SV20 ) )
= $false )
| ( ( sK2_SY21 @ SV9 @ SV16 @ SV20 )
= $false )
| ( ( sK1_Xp @ SV9 @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[97]) ).
thf(101,plain,
! [SV10: a,SV20: b,SV16: b,SV9: a] :
( ( ( ~ ( sK2_SY21 @ SV9 @ SV16 @ SV20 )
| ~ ( sK2_SY21 @ SV10 @ SV16 @ SV20 ) )
= $false )
| ( ( sK2_SY21 @ SV10 @ SV16 @ SV20 )
= $false )
| ( ( sK1_Xp @ SV9 @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[98]) ).
thf(102,plain,
! [SV15: a,SV19: b,SV23: b,SV22: b,SV12: a] :
( ( ( sK2_SY21 @ SV12 @ SV22 @ SV23 )
= $false )
| ( ( sK2_SY21 @ SV12 @ SV19 @ SV22 )
= $false )
| ( ( sK2_SY21 @ SV12 @ SV19 @ SV23 )
= $true )
| ( ( sK1_Xp @ SV12 @ SV15 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[99]) ).
thf(103,plain,
! [SV10: a,SV20: b,SV16: b,SV9: a] :
( ( ( ~ ( sK2_SY21 @ SV9 @ SV16 @ SV20 ) )
= $false )
| ( ( sK2_SY21 @ SV9 @ SV16 @ SV20 )
= $false )
| ( ( sK1_Xp @ SV9 @ SV10 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[100]) ).
thf(104,plain,
! [SV9: a,SV20: b,SV16: b,SV10: a] :
( ( ( ~ ( sK2_SY21 @ SV10 @ SV16 @ SV20 ) )
= $false )
| ( ( sK2_SY21 @ SV9 @ SV16 @ SV20 )
= $false )
| ( ( sK1_Xp @ SV9 @ SV10 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[100]) ).
thf(105,plain,
! [SV10: a,SV20: b,SV16: b,SV9: a] :
( ( ( ~ ( sK2_SY21 @ SV9 @ SV16 @ SV20 ) )
= $false )
| ( ( sK2_SY21 @ SV10 @ SV16 @ SV20 )
= $false )
| ( ( sK1_Xp @ SV9 @ SV10 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[101]) ).
thf(106,plain,
! [SV9: a,SV20: b,SV16: b,SV10: a] :
( ( ( ~ ( sK2_SY21 @ SV10 @ SV16 @ SV20 ) )
= $false )
| ( ( sK2_SY21 @ SV10 @ SV16 @ SV20 )
= $false )
| ( ( sK1_Xp @ SV9 @ SV10 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[101]) ).
thf(107,plain,
! [SV10: a,SV20: b,SV16: b,SV9: a] :
( ( ( sK2_SY21 @ SV9 @ SV16 @ SV20 )
= $true )
| ( ( sK2_SY21 @ SV9 @ SV16 @ SV20 )
= $false )
| ( ( sK1_Xp @ SV9 @ SV10 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[103]) ).
thf(108,plain,
! [SV9: a,SV20: b,SV16: b,SV10: a] :
( ( ( sK2_SY21 @ SV10 @ SV16 @ SV20 )
= $true )
| ( ( sK2_SY21 @ SV9 @ SV16 @ SV20 )
= $false )
| ( ( sK1_Xp @ SV9 @ SV10 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[104]) ).
thf(109,plain,
! [SV10: a,SV20: b,SV16: b,SV9: a] :
( ( ( sK2_SY21 @ SV9 @ SV16 @ SV20 )
= $true )
| ( ( sK2_SY21 @ SV10 @ SV16 @ SV20 )
= $false )
| ( ( sK1_Xp @ SV9 @ SV10 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[105]) ).
thf(110,plain,
! [SV9: a,SV20: b,SV16: b,SV10: a] :
( ( ( sK2_SY21 @ SV10 @ SV16 @ SV20 )
= $true )
| ( ( sK2_SY21 @ SV10 @ SV16 @ SV20 )
= $false )
| ( ( sK1_Xp @ SV9 @ SV10 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[106]) ).
thf(111,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[24,110,109,108,107,102,93,89,82,75,68,57,56,55,50,49]) ).
thf(112,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[111]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SEV034^5 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.12 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.33 % Computer : n028.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Tue Jun 28 01:28:26 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.35
% 0.13/0.35 No.of.Axioms: 0
% 0.13/0.35
% 0.13/0.35 Length.of.Defs: 0
% 0.13/0.35
% 0.13/0.35 Contains.Choice.Funs: false
% 0.13/0.37 (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)........
% 0.18/0.48
% 0.18/0.48 ********************************
% 0.18/0.48 * All subproblems solved! *
% 0.18/0.48 ********************************
% 0.18/0.48 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:6,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:111,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.18/0.49
% 0.18/0.49 %**** Beginning of derivation protocol ****
% 0.18/0.49 % SZS output start CNFRefutation
% See solution above
% 0.18/0.49
% 0.18/0.49 %**** End of derivation protocol ****
% 0.18/0.49 %**** no. of clauses in derivation: 112 ****
% 0.18/0.49 %**** clause counter: 111 ****
% 0.18/0.49
% 0.18/0.49 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:6,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:111,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------