TSTP Solution File: SEV417^5 by LEO-II---1.7.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SEV417^5 : 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 17:36:37 EDT 2022
% Result : Theorem 0.18s 0.40s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 7
% Syntax : Number of formulae : 133 ( 58 unt; 6 typ; 0 def)
% Number of atoms : 879 ( 253 equ; 0 cnn)
% Maximal formula atoms : 5 ( 6 avg)
% Number of connectives : 856 ( 281 ~; 197 |; 43 &; 315 @)
% ( 0 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 2 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 17 ( 17 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 165 ( 60 ^ 105 !; 0 ?; 165 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a,type,
a: $tType ).
thf(tp_cP,type,
cP: ( a > $o ) > $o ).
thf(tp_sK1_X,type,
sK1_X: a > $o ).
thf(tp_sK2_SY10,type,
sK2_SY10: a > $o ).
thf(tp_sK3_SY19,type,
sK3_SY19: a > $o ).
thf(tp_sK4_SV4,type,
sK4_SV4: a ).
thf(1,conjecture,
! [X: a > $o,Y: a > $o,Z: a > $o] :
( ( ! [Xx: a] :
( ( X @ Xx )
=> ( Y @ Xx ) )
& ! [Xx: a] :
( ( X @ Xx )
=> ( Z @ Xx ) )
& ( ( ^ [Xx: a] :
( ( Y @ Xx )
& ( Z @ Xx ) ) )
= ( ^ [Xx: a] : $false ) )
& ( cP
@ ^ [Xx: a] :
( ( Y @ Xx )
& ( Z @ Xx ) ) ) )
=> ( ( X
= ( ^ [Xx: a] : $false ) )
& ( cP
@ ^ [Xx: a] : $false ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM502_pme) ).
thf(2,negated_conjecture,
( ( ! [X: a > $o,Y: a > $o,Z: a > $o] :
( ( ! [Xx: a] :
( ( X @ Xx )
=> ( Y @ Xx ) )
& ! [Xx: a] :
( ( X @ Xx )
=> ( Z @ Xx ) )
& ( ( ^ [Xx: a] :
( ( Y @ Xx )
& ( Z @ Xx ) ) )
= ( ^ [Xx: a] : $false ) )
& ( cP
@ ^ [Xx: a] :
( ( Y @ Xx )
& ( Z @ Xx ) ) ) )
=> ( ( X
= ( ^ [Xx: a] : $false ) )
& ( cP
@ ^ [Xx: a] : $false ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ! [X: a > $o,Y: a > $o,Z: a > $o] :
( ( ! [Xx: a] :
( ( X @ Xx )
=> ( Y @ Xx ) )
& ! [Xx: a] :
( ( X @ Xx )
=> ( Z @ Xx ) )
& ( ( ^ [Xx: a] :
( ( Y @ Xx )
& ( Z @ Xx ) ) )
= ( ^ [Xx: a] : $false ) )
& ( cP
@ ^ [Xx: a] :
( ( Y @ Xx )
& ( Z @ Xx ) ) ) )
=> ( ( X
= ( ^ [Xx: a] : $false ) )
& ( cP
@ ^ [Xx: a] : $false ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ! [SY10: a > $o,SY11: a > $o] :
( ( ! [SY12: a] :
( ( sK1_X @ SY12 )
=> ( SY10 @ SY12 ) )
& ! [SY13: a] :
( ( sK1_X @ SY13 )
=> ( SY11 @ SY13 ) )
& ( ( ^ [Xx: a] :
( ( SY10 @ Xx )
& ( SY11 @ Xx ) ) )
= ( ^ [Xx: a] : $false ) )
& ( cP
@ ^ [Xx: a] :
( ( SY10 @ Xx )
& ( SY11 @ Xx ) ) ) )
=> ( ( sK1_X
= ( ^ [Xx: a] : $false ) )
& ( cP
@ ^ [Xx: a] : $false ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[3]) ).
thf(5,plain,
( ( ! [SY19: a > $o] :
( ( ! [SY20: a] :
( ( sK1_X @ SY20 )
=> ( sK2_SY10 @ SY20 ) )
& ! [SY13: a] :
( ( sK1_X @ SY13 )
=> ( SY19 @ SY13 ) )
& ( ( ^ [SY22: a] :
( ( sK2_SY10 @ SY22 )
& ( SY19 @ SY22 ) ) )
= ( ^ [Xx: a] : $false ) )
& ( cP
@ ^ [SY24: a] :
( ( sK2_SY10 @ SY24 )
& ( SY19 @ SY24 ) ) ) )
=> ( ( sK1_X
= ( ^ [Xx: a] : $false ) )
& ( cP
@ ^ [Xx: a] : $false ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[4]) ).
thf(6,plain,
( ( ( ! [SY20: a] :
( ( sK1_X @ SY20 )
=> ( sK2_SY10 @ SY20 ) )
& ! [SY28: a] :
( ( sK1_X @ SY28 )
=> ( sK3_SY19 @ SY28 ) )
& ( ( ^ [SY29: a] :
( ( sK2_SY10 @ SY29 )
& ( sK3_SY19 @ SY29 ) ) )
= ( ^ [Xx: a] : $false ) )
& ( cP
@ ^ [SY31: a] :
( ( sK2_SY10 @ SY31 )
& ( sK3_SY19 @ SY31 ) ) ) )
=> ( ( sK1_X
= ( ^ [Xx: a] : $false ) )
& ( cP
@ ^ [Xx: a] : $false ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[5]) ).
thf(7,plain,
( ( ! [SY20: a] :
( ( sK1_X @ SY20 )
=> ( sK2_SY10 @ SY20 ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[6]) ).
thf(8,plain,
( ( ! [SY28: a] :
( ( sK1_X @ SY28 )
=> ( sK3_SY19 @ SY28 ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[6]) ).
thf(9,plain,
( ( ( ^ [SY29: a] :
( ( sK2_SY10 @ SY29 )
& ( sK3_SY19 @ SY29 ) ) )
= ( ^ [Xx: a] : $false ) )
= $true ),
inference(standard_cnf,[status(thm)],[6]) ).
thf(10,plain,
( ( cP
@ ^ [SY31: a] :
( ( sK2_SY10 @ SY31 )
& ( sK3_SY19 @ SY31 ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[6]) ).
thf(11,plain,
( ( ( sK1_X
= ( ^ [Xx: a] : $false ) )
& ( cP
@ ^ [Xx: a] : $false ) )
= $false ),
inference(standard_cnf,[status(thm)],[6]) ).
thf(12,plain,
( ( sK1_X
= ( ^ [Xx: a] : $false ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[11]) ).
thf(13,plain,
( ( cP
@ ^ [Xx: a] : $false )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[11]) ).
thf(14,plain,
( ( ( sK1_X
!= ( ^ [Xx: a] : $false ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[12]) ).
thf(15,plain,
( ( ~ ( cP
@ ^ [Xx: a] : $false ) )
= $true ),
inference(polarity_switch,[status(thm)],[13]) ).
thf(16,plain,
( ( ! [SY20: a] :
( ~ ( sK1_X @ SY20 )
| ( sK2_SY10 @ SY20 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[7]) ).
thf(17,plain,
( ( ! [SY28: a] :
( ~ ( sK1_X @ SY28 )
| ( sK3_SY19 @ SY28 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[8]) ).
thf(18,plain,
( ( cP
@ ^ [SY31: a] :
( ( sK2_SY10 @ SY31 )
& ( sK3_SY19 @ SY31 ) ) )
= $true ),
inference(copy,[status(thm)],[10]) ).
thf(19,plain,
( ( ( ^ [SY29: a] :
( ( sK2_SY10 @ SY29 )
& ( sK3_SY19 @ SY29 ) ) )
= ( ^ [Xx: a] : $false ) )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(20,plain,
( ( ! [SY28: a] :
( ~ ( sK1_X @ SY28 )
| ( sK3_SY19 @ SY28 ) ) )
= $true ),
inference(copy,[status(thm)],[17]) ).
thf(21,plain,
( ( ! [SY20: a] :
( ~ ( sK1_X @ SY20 )
| ( sK2_SY10 @ SY20 ) ) )
= $true ),
inference(copy,[status(thm)],[16]) ).
thf(22,plain,
( ( ( sK1_X
!= ( ^ [Xx: a] : $false ) ) )
= $true ),
inference(copy,[status(thm)],[14]) ).
thf(23,plain,
( ( ( ^ [SX0: a] :
~ ( ~ ( sK2_SY10 @ SX0 )
| ~ ( sK3_SY19 @ SX0 ) ) )
= ( ^ [SX0: a] : $false ) )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(24,plain,
( ( cP
@ ^ [SX0: a] :
~ ( ~ ( sK2_SY10 @ SX0 )
| ~ ( sK3_SY19 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(25,plain,
! [SV1: a] :
( ( ~ ( sK1_X @ SV1 )
| ( sK3_SY19 @ SV1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[20]) ).
thf(26,plain,
! [SV2: a] :
( ( ~ ( sK1_X @ SV2 )
| ( sK2_SY10 @ SV2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[21]) ).
thf(27,plain,
( ( sK1_X
= ( ^ [Xx: a] : $false ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[22]) ).
thf(28,plain,
( ( ! [SV3: a] :
( ( ~ ( ~ ( sK2_SY10 @ SV3 )
| ~ ( sK3_SY19 @ SV3 ) ) )
= $false ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[23]) ).
thf(29,plain,
( ( ( ^ [SX0: a] :
~ ( ~ ( sK2_SY10 @ SX0 )
| ~ ( sK3_SY19 @ SX0 ) ) )
= ( ^ [SX0: a] : $false ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[23]) ).
thf(30,plain,
! [SV1: a] :
( ( ( ~ ( sK1_X @ SV1 ) )
= $true )
| ( ( sK3_SY19 @ SV1 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[25]) ).
thf(31,plain,
! [SV2: a] :
( ( ( ~ ( sK1_X @ SV2 ) )
= $true )
| ( ( sK2_SY10 @ SV2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[26]) ).
thf(32,plain,
( ( ! [SV4: a] :
( ( sK1_X @ SV4 )
= $false ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[27]) ).
thf(33,plain,
( ( sK1_X
= ( ^ [Xx: a] : $false ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[27]) ).
thf(34,plain,
! [SV5: a] :
( ( ( ~ ( ~ ( sK2_SY10 @ SV5 )
| ~ ( sK3_SY19 @ SV5 ) ) )
= $false )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[28]) ).
thf(35,plain,
! [SV1: a] :
( ( ( sK1_X @ SV1 )
= $false )
| ( ( sK3_SY19 @ SV1 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[30]) ).
thf(36,plain,
! [SV2: a] :
( ( ( sK1_X @ SV2 )
= $false )
| ( ( sK2_SY10 @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[31]) ).
thf(37,plain,
( ( ( sK1_X @ sK4_SV4 )
= $false )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[32]) ).
thf(38,plain,
! [SV5: a] :
( ( ~ ( ~ ( ~ ( sK2_SY10 @ SV5 )
| ~ ( sK3_SY19 @ SV5 ) )
| $false )
| ~ ( ~ ~ ( ~ ( sK2_SY10 @ SV5 )
| ~ ( sK3_SY19 @ SV5 ) )
| ~ $false ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[34]) ).
thf(39,plain,
! [SV5: a] :
( ( ( ~ ( ~ ( sK2_SY10 @ SV5 )
| ~ ( sK3_SY19 @ SV5 ) ) )
= $false )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[34]) ).
thf(40,plain,
( ( ~ ( ( sK1_X @ sK4_SV4 )
| $false )
| ~ ( ~ ( sK1_X @ sK4_SV4 )
| ~ $false ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[37]) ).
thf(41,plain,
( ( ( sK1_X @ sK4_SV4 )
= $false )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[37]) ).
thf(42,plain,
! [SV5: a] :
( ( ( ~ ( ~ ( ~ ( sK2_SY10 @ SV5 )
| ~ ( sK3_SY19 @ SV5 ) )
| $false ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( sK2_SY10 @ SV5 )
| ~ ( sK3_SY19 @ SV5 ) )
| ~ $false ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[38]) ).
thf(43,plain,
( ( ~ ( ( sK1_X @ sK4_SV4 )
| $false ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[40]) ).
thf(44,plain,
( ( ~ ( ~ ( sK1_X @ sK4_SV4 )
| ~ $false ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[40]) ).
thf(45,plain,
! [SV5: a] :
( ( ( ~ ( ~ ( sK2_SY10 @ SV5 )
| ~ ( sK3_SY19 @ SV5 ) )
| $false )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( sK2_SY10 @ SV5 )
| ~ ( sK3_SY19 @ SV5 ) )
| ~ $false ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[42]) ).
thf(46,plain,
( ( ( sK1_X @ sK4_SV4 )
| $false )
= $true ),
inference(extcnf_not_neg,[status(thm)],[43]) ).
thf(47,plain,
( ( ~ ( sK1_X @ sK4_SV4 )
| ~ $false )
= $true ),
inference(extcnf_not_neg,[status(thm)],[44]) ).
thf(48,plain,
! [SV5: a] :
( ( ( ~ ( ~ ( sK2_SY10 @ SV5 )
| ~ ( sK3_SY19 @ SV5 ) ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( sK2_SY10 @ SV5 )
| ~ ( sK3_SY19 @ SV5 ) )
| ~ $false ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[45]) ).
thf(49,plain,
! [SV5: a] :
( ( $false = $false )
| ( ( ~ ( ~ ~ ( ~ ( sK2_SY10 @ SV5 )
| ~ ( sK3_SY19 @ SV5 ) )
| ~ $false ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[45]) ).
thf(50,plain,
( ( ( sK1_X @ sK4_SV4 )
= $true )
| ( $false = $true ) ),
inference(extcnf_or_pos,[status(thm)],[46]) ).
thf(51,plain,
( ( ( ~ ( sK1_X @ sK4_SV4 ) )
= $true )
| ( ( ~ $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[47]) ).
thf(52,plain,
! [SV5: a] :
( ( ( ~ ( sK2_SY10 @ SV5 )
| ~ ( sK3_SY19 @ SV5 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( sK2_SY10 @ SV5 )
| ~ ( sK3_SY19 @ SV5 ) )
| ~ $false ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[48]) ).
thf(53,plain,
! [SV5: a] :
( ( ( ~ ~ ( ~ ( sK2_SY10 @ SV5 )
| ~ ( sK3_SY19 @ SV5 ) )
| ~ $false )
= $false )
| ( $false = $false ) ),
inference(extcnf_not_pos,[status(thm)],[49]) ).
thf(54,plain,
( ( ( sK1_X @ sK4_SV4 )
= $false )
| ( ( ~ $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[51]) ).
thf(55,plain,
! [SV5: a] :
( ( ( ~ ( sK2_SY10 @ SV5 ) )
= $true )
| ( ( ~ ( sK3_SY19 @ SV5 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( sK2_SY10 @ SV5 )
| ~ ( sK3_SY19 @ SV5 ) )
| ~ $false ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[52]) ).
thf(56,plain,
! [SV5: a] :
( ( ( ~ ~ ( ~ ( sK2_SY10 @ SV5 )
| ~ ( sK3_SY19 @ SV5 ) ) )
= $false )
| ( $false = $false ) ),
inference(extcnf_or_neg,[status(thm)],[53]) ).
thf(57,plain,
( ( ( ~ $false )
= $false )
| ( $false = $false ) ),
inference(extcnf_or_neg,[status(thm)],[53]) ).
thf(58,plain,
( ( $false = $false )
| ( ( sK1_X @ sK4_SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[54]) ).
thf(59,plain,
! [SV5: a] :
( ( ( sK2_SY10 @ SV5 )
= $false )
| ( ( ~ ( sK3_SY19 @ SV5 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( sK2_SY10 @ SV5 )
| ~ ( sK3_SY19 @ SV5 ) )
| ~ $false ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[55]) ).
thf(60,plain,
! [SV5: a] :
( ( ( ~ ( ~ ( sK2_SY10 @ SV5 )
| ~ ( sK3_SY19 @ SV5 ) ) )
= $true )
| ( $false = $false ) ),
inference(extcnf_not_neg,[status(thm)],[56]) ).
thf(61,plain,
( ( $false = $true )
| ( $false = $false ) ),
inference(extcnf_not_neg,[status(thm)],[57]) ).
thf(62,plain,
! [SV5: a] :
( ( ( sK3_SY19 @ SV5 )
= $false )
| ( ( sK2_SY10 @ SV5 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( sK2_SY10 @ SV5 )
| ~ ( sK3_SY19 @ SV5 ) )
| ~ $false ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[59]) ).
thf(63,plain,
! [SV5: a] :
( ( ( ~ ( sK2_SY10 @ SV5 )
| ~ ( sK3_SY19 @ SV5 ) )
= $false )
| ( $false = $false ) ),
inference(extcnf_not_pos,[status(thm)],[60]) ).
thf(64,plain,
! [SV5: a] :
( ( ( ~ ~ ( ~ ( sK2_SY10 @ SV5 )
| ~ ( sK3_SY19 @ SV5 ) )
| ~ $false )
= $false )
| ( ( sK2_SY10 @ SV5 )
= $false )
| ( ( sK3_SY19 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[62]) ).
thf(65,plain,
! [SV5: a] :
( ( ( ~ ( sK2_SY10 @ SV5 ) )
= $false )
| ( $false = $false ) ),
inference(extcnf_or_neg,[status(thm)],[63]) ).
thf(66,plain,
! [SV5: a] :
( ( ( ~ ( sK3_SY19 @ SV5 ) )
= $false )
| ( $false = $false ) ),
inference(extcnf_or_neg,[status(thm)],[63]) ).
thf(67,plain,
! [SV5: a] :
( ( ( ~ ~ ( ~ ( sK2_SY10 @ SV5 )
| ~ ( sK3_SY19 @ SV5 ) ) )
= $false )
| ( ( sK2_SY10 @ SV5 )
= $false )
| ( ( sK3_SY19 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[64]) ).
thf(68,plain,
! [SV5: a] :
( ( ( ~ $false )
= $false )
| ( ( sK2_SY10 @ SV5 )
= $false )
| ( ( sK3_SY19 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[64]) ).
thf(69,plain,
! [SV5: a] :
( ( ( sK2_SY10 @ SV5 )
= $true )
| ( $false = $false ) ),
inference(extcnf_not_neg,[status(thm)],[65]) ).
thf(70,plain,
! [SV5: a] :
( ( ( sK3_SY19 @ SV5 )
= $true )
| ( $false = $false ) ),
inference(extcnf_not_neg,[status(thm)],[66]) ).
thf(71,plain,
! [SV5: a] :
( ( ( ~ ( ~ ( sK2_SY10 @ SV5 )
| ~ ( sK3_SY19 @ SV5 ) ) )
= $true )
| ( ( sK2_SY10 @ SV5 )
= $false )
| ( ( sK3_SY19 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[67]) ).
thf(72,plain,
! [SV5: a] :
( ( $false = $true )
| ( ( sK2_SY10 @ SV5 )
= $false )
| ( ( sK3_SY19 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[68]) ).
thf(73,plain,
! [SV5: a] :
( ( ( ~ ( sK2_SY10 @ SV5 )
| ~ ( sK3_SY19 @ SV5 ) )
= $false )
| ( ( sK2_SY10 @ SV5 )
= $false )
| ( ( sK3_SY19 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[71]) ).
thf(74,plain,
! [SV5: a] :
( ( ( ~ ( sK2_SY10 @ SV5 ) )
= $false )
| ( ( sK2_SY10 @ SV5 )
= $false )
| ( ( sK3_SY19 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[73]) ).
thf(75,plain,
! [SV5: a] :
( ( ( ~ ( sK3_SY19 @ SV5 ) )
= $false )
| ( ( sK2_SY10 @ SV5 )
= $false )
| ( ( sK3_SY19 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[73]) ).
thf(76,plain,
! [SV5: a] :
( ( ( sK2_SY10 @ SV5 )
= $true )
| ( ( sK2_SY10 @ SV5 )
= $false )
| ( ( sK3_SY19 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[74]) ).
thf(77,plain,
! [SV5: a] :
( ( ( sK3_SY19 @ SV5 )
= $true )
| ( ( sK2_SY10 @ SV5 )
= $false )
| ( ( sK3_SY19 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[75]) ).
thf(78,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[24,77,76,72,70,69,61,58,50,41,39,36,35,33,29]) ).
thf(79,plain,
( ( cP
@ ^ [SY31: a] :
( ( sK2_SY10 @ SY31 )
& ( sK3_SY19 @ SY31 ) ) )
= $true ),
inference(copy,[status(thm)],[10]) ).
thf(80,plain,
( ( ( ^ [SY29: a] :
( ( sK2_SY10 @ SY29 )
& ( sK3_SY19 @ SY29 ) ) )
= ( ^ [Xx: a] : $false ) )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(81,plain,
( ( ! [SY28: a] :
( ~ ( sK1_X @ SY28 )
| ( sK3_SY19 @ SY28 ) ) )
= $true ),
inference(copy,[status(thm)],[17]) ).
thf(82,plain,
( ( ! [SY20: a] :
( ~ ( sK1_X @ SY20 )
| ( sK2_SY10 @ SY20 ) ) )
= $true ),
inference(copy,[status(thm)],[16]) ).
thf(83,plain,
( ( ~ ( cP
@ ^ [Xx: a] : $false ) )
= $true ),
inference(copy,[status(thm)],[15]) ).
thf(84,plain,
( ( cP
@ ^ [SX0: a] :
~ ( ~ ( sK2_SY10 @ SX0 )
| ~ ( sK3_SY19 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[79]) ).
thf(85,plain,
( ( ( ^ [SX0: a] :
~ ( ~ ( sK2_SY10 @ SX0 )
| ~ ( sK3_SY19 @ SX0 ) ) )
= ( ^ [SX0: a] : $false ) )
= $true ),
inference(unfold_def,[status(thm)],[80]) ).
thf(86,plain,
! [SV6: a] :
( ( ~ ( sK1_X @ SV6 )
| ( sK3_SY19 @ SV6 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[81]) ).
thf(87,plain,
! [SV7: a] :
( ( ~ ( sK1_X @ SV7 )
| ( sK2_SY10 @ SV7 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[82]) ).
thf(88,plain,
( ( cP
@ ^ [Xx: a] : $false )
= $false ),
inference(extcnf_not_pos,[status(thm)],[83]) ).
thf(89,plain,
( ( ! [SV8: a] :
( ( ~ ( ~ ( sK2_SY10 @ SV8 )
| ~ ( sK3_SY19 @ SV8 ) ) )
= $false ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[85]) ).
thf(90,plain,
( ( ( ^ [SX0: a] :
~ ( ~ ( sK2_SY10 @ SX0 )
| ~ ( sK3_SY19 @ SX0 ) ) )
= ( ^ [SX0: a] : $false ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[85]) ).
thf(91,plain,
! [SV6: a] :
( ( ( ~ ( sK1_X @ SV6 ) )
= $true )
| ( ( sK3_SY19 @ SV6 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[86]) ).
thf(92,plain,
! [SV7: a] :
( ( ( ~ ( sK1_X @ SV7 ) )
= $true )
| ( ( sK2_SY10 @ SV7 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[87]) ).
thf(93,plain,
! [SV9: a] :
( ( ( ~ ( ~ ( sK2_SY10 @ SV9 )
| ~ ( sK3_SY19 @ SV9 ) ) )
= $false )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[89]) ).
thf(94,plain,
! [SV6: a] :
( ( ( sK1_X @ SV6 )
= $false )
| ( ( sK3_SY19 @ SV6 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[91]) ).
thf(95,plain,
! [SV7: a] :
( ( ( sK1_X @ SV7 )
= $false )
| ( ( sK2_SY10 @ SV7 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[92]) ).
thf(96,plain,
! [SV9: a] :
( ( ~ ( ~ ( ~ ( sK2_SY10 @ SV9 )
| ~ ( sK3_SY19 @ SV9 ) )
| $false )
| ~ ( ~ ~ ( ~ ( sK2_SY10 @ SV9 )
| ~ ( sK3_SY19 @ SV9 ) )
| ~ $false ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[93]) ).
thf(97,plain,
! [SV9: a] :
( ( ( ~ ( ~ ( sK2_SY10 @ SV9 )
| ~ ( sK3_SY19 @ SV9 ) ) )
= $false )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[93]) ).
thf(98,plain,
! [SV9: a] :
( ( ( ~ ( ~ ( ~ ( sK2_SY10 @ SV9 )
| ~ ( sK3_SY19 @ SV9 ) )
| $false ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( sK2_SY10 @ SV9 )
| ~ ( sK3_SY19 @ SV9 ) )
| ~ $false ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[96]) ).
thf(99,plain,
! [SV9: a] :
( ( ( ~ ( ~ ( sK2_SY10 @ SV9 )
| ~ ( sK3_SY19 @ SV9 ) )
| $false )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( sK2_SY10 @ SV9 )
| ~ ( sK3_SY19 @ SV9 ) )
| ~ $false ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[98]) ).
thf(100,plain,
! [SV9: a] :
( ( ( ~ ( ~ ( sK2_SY10 @ SV9 )
| ~ ( sK3_SY19 @ SV9 ) ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( sK2_SY10 @ SV9 )
| ~ ( sK3_SY19 @ SV9 ) )
| ~ $false ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[99]) ).
thf(101,plain,
! [SV9: a] :
( ( $false = $false )
| ( ( ~ ( ~ ~ ( ~ ( sK2_SY10 @ SV9 )
| ~ ( sK3_SY19 @ SV9 ) )
| ~ $false ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[99]) ).
thf(102,plain,
! [SV9: a] :
( ( ( ~ ( sK2_SY10 @ SV9 )
| ~ ( sK3_SY19 @ SV9 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( sK2_SY10 @ SV9 )
| ~ ( sK3_SY19 @ SV9 ) )
| ~ $false ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[100]) ).
thf(103,plain,
! [SV9: a] :
( ( ( ~ ~ ( ~ ( sK2_SY10 @ SV9 )
| ~ ( sK3_SY19 @ SV9 ) )
| ~ $false )
= $false )
| ( $false = $false ) ),
inference(extcnf_not_pos,[status(thm)],[101]) ).
thf(104,plain,
! [SV9: a] :
( ( ( ~ ( sK2_SY10 @ SV9 ) )
= $true )
| ( ( ~ ( sK3_SY19 @ SV9 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( sK2_SY10 @ SV9 )
| ~ ( sK3_SY19 @ SV9 ) )
| ~ $false ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[102]) ).
thf(105,plain,
! [SV9: a] :
( ( ( ~ ~ ( ~ ( sK2_SY10 @ SV9 )
| ~ ( sK3_SY19 @ SV9 ) ) )
= $false )
| ( $false = $false ) ),
inference(extcnf_or_neg,[status(thm)],[103]) ).
thf(106,plain,
( ( ( ~ $false )
= $false )
| ( $false = $false ) ),
inference(extcnf_or_neg,[status(thm)],[103]) ).
thf(107,plain,
! [SV9: a] :
( ( ( sK2_SY10 @ SV9 )
= $false )
| ( ( ~ ( sK3_SY19 @ SV9 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( sK2_SY10 @ SV9 )
| ~ ( sK3_SY19 @ SV9 ) )
| ~ $false ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[104]) ).
thf(108,plain,
! [SV9: a] :
( ( ( ~ ( ~ ( sK2_SY10 @ SV9 )
| ~ ( sK3_SY19 @ SV9 ) ) )
= $true )
| ( $false = $false ) ),
inference(extcnf_not_neg,[status(thm)],[105]) ).
thf(109,plain,
( ( $false = $true )
| ( $false = $false ) ),
inference(extcnf_not_neg,[status(thm)],[106]) ).
thf(110,plain,
! [SV9: a] :
( ( ( sK3_SY19 @ SV9 )
= $false )
| ( ( sK2_SY10 @ SV9 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( sK2_SY10 @ SV9 )
| ~ ( sK3_SY19 @ SV9 ) )
| ~ $false ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[107]) ).
thf(111,plain,
! [SV9: a] :
( ( ( ~ ( sK2_SY10 @ SV9 )
| ~ ( sK3_SY19 @ SV9 ) )
= $false )
| ( $false = $false ) ),
inference(extcnf_not_pos,[status(thm)],[108]) ).
thf(112,plain,
! [SV9: a] :
( ( ( ~ ~ ( ~ ( sK2_SY10 @ SV9 )
| ~ ( sK3_SY19 @ SV9 ) )
| ~ $false )
= $false )
| ( ( sK2_SY10 @ SV9 )
= $false )
| ( ( sK3_SY19 @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[110]) ).
thf(113,plain,
! [SV9: a] :
( ( ( ~ ( sK2_SY10 @ SV9 ) )
= $false )
| ( $false = $false ) ),
inference(extcnf_or_neg,[status(thm)],[111]) ).
thf(114,plain,
! [SV9: a] :
( ( ( ~ ( sK3_SY19 @ SV9 ) )
= $false )
| ( $false = $false ) ),
inference(extcnf_or_neg,[status(thm)],[111]) ).
thf(115,plain,
! [SV9: a] :
( ( ( ~ ~ ( ~ ( sK2_SY10 @ SV9 )
| ~ ( sK3_SY19 @ SV9 ) ) )
= $false )
| ( ( sK2_SY10 @ SV9 )
= $false )
| ( ( sK3_SY19 @ SV9 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[112]) ).
thf(116,plain,
! [SV9: a] :
( ( ( ~ $false )
= $false )
| ( ( sK2_SY10 @ SV9 )
= $false )
| ( ( sK3_SY19 @ SV9 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[112]) ).
thf(117,plain,
! [SV9: a] :
( ( ( sK2_SY10 @ SV9 )
= $true )
| ( $false = $false ) ),
inference(extcnf_not_neg,[status(thm)],[113]) ).
thf(118,plain,
! [SV9: a] :
( ( ( sK3_SY19 @ SV9 )
= $true )
| ( $false = $false ) ),
inference(extcnf_not_neg,[status(thm)],[114]) ).
thf(119,plain,
! [SV9: a] :
( ( ( ~ ( ~ ( sK2_SY10 @ SV9 )
| ~ ( sK3_SY19 @ SV9 ) ) )
= $true )
| ( ( sK2_SY10 @ SV9 )
= $false )
| ( ( sK3_SY19 @ SV9 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[115]) ).
thf(120,plain,
! [SV9: a] :
( ( $false = $true )
| ( ( sK2_SY10 @ SV9 )
= $false )
| ( ( sK3_SY19 @ SV9 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[116]) ).
thf(121,plain,
! [SV9: a] :
( ( ( ~ ( sK2_SY10 @ SV9 )
| ~ ( sK3_SY19 @ SV9 ) )
= $false )
| ( ( sK2_SY10 @ SV9 )
= $false )
| ( ( sK3_SY19 @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[119]) ).
thf(122,plain,
! [SV9: a] :
( ( ( ~ ( sK2_SY10 @ SV9 ) )
= $false )
| ( ( sK2_SY10 @ SV9 )
= $false )
| ( ( sK3_SY19 @ SV9 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[121]) ).
thf(123,plain,
! [SV9: a] :
( ( ( ~ ( sK3_SY19 @ SV9 ) )
= $false )
| ( ( sK2_SY10 @ SV9 )
= $false )
| ( ( sK3_SY19 @ SV9 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[121]) ).
thf(124,plain,
! [SV9: a] :
( ( ( sK2_SY10 @ SV9 )
= $true )
| ( ( sK2_SY10 @ SV9 )
= $false )
| ( ( sK3_SY19 @ SV9 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[122]) ).
thf(125,plain,
! [SV9: a] :
( ( ( sK3_SY19 @ SV9 )
= $true )
| ( ( sK2_SY10 @ SV9 )
= $false )
| ( ( sK3_SY19 @ SV9 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[123]) ).
thf(126,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[84,125,124,120,118,117,109,97,95,94,90,88]) ).
thf(127,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[126,78]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : SEV417^5 : TPTP v8.1.0. Released v4.0.0.
% 0.02/0.12 % 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 17:04:07 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
% 0.12/0.34 (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)..
% 0.18/0.40
% 0.18/0.40 ********************************
% 0.18/0.40 * All subproblems solved! *
% 0.18/0.40 ********************************
% 0.18/0.40 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:4,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:126,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.18/0.41
% 0.18/0.41 %**** Beginning of derivation protocol ****
% 0.18/0.41 % 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: 127 ****
% 0.18/0.41 %**** clause counter: 126 ****
% 0.18/0.41
% 0.18/0.41 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:4,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:126,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------