TSTP Solution File: SEU706^2 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SEU706^2 : TPTP v8.1.0. Released v3.7.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n011.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 12:14:04 EDT 2022
% Result : Theorem 0.18s 0.38s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 20
% Syntax : Number of formulae : 96 ( 57 unt; 13 typ; 6 def)
% Number of atoms : 476 ( 237 equ; 0 cnn)
% Maximal formula atoms : 8 ( 5 avg)
% Number of connectives : 595 ( 157 ~; 117 |; 5 &; 291 @)
% ( 1 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 13 usr; 11 con; 0-2 aty)
% Number of variables : 158 ( 1 ^ 156 !; 1 ?; 158 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_emptyset,type,
emptyset: $i ).
thf(tp_in,type,
in: $i > $i > $o ).
thf(tp_in__Cong,type,
in__Cong: $o ).
thf(tp_sK1_X,type,
sK1_X: $i ).
thf(tp_sK2_SY0,type,
sK2_SY0: $i ).
thf(tp_sK3_SX0,type,
sK3_SX0: $i ).
thf(tp_setadjoin,type,
setadjoin: $i > $i > $i ).
thf(tp_setadjoin__Cong,type,
setadjoin__Cong: $o ).
thf(tp_setunion,type,
setunion: $i > $i ).
thf(tp_setunion__Cong,type,
setunion__Cong: $o ).
thf(tp_setunionsingleton,type,
setunionsingleton: $o ).
thf(tp_singleton,type,
singleton: $i > $o ).
thf(tp_uniqinunit,type,
uniqinunit: $o ).
thf(in__Cong,definition,
( in__Cong
= ( ! [A: $i,B: $i] :
( ( A = B )
=> ! [Xx: $i,Xy: $i] :
( ( Xx = Xy )
=> ( ( in @ Xx @ A )
<=> ( in @ Xy @ B ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',in__Cong) ).
thf(setadjoin__Cong,definition,
( setadjoin__Cong
= ( ! [Xx: $i,Xy: $i] :
( ( Xx = Xy )
=> ! [Xz: $i,Xu: $i] :
( ( Xz = Xu )
=> ( ( setadjoin @ Xx @ Xz )
= ( setadjoin @ Xy @ Xu ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',setadjoin__Cong) ).
thf(setunion__Cong,definition,
( setunion__Cong
= ( ! [A: $i,B: $i] :
( ( A = B )
=> ( ( setunion @ A )
= ( setunion @ B ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',setunion__Cong) ).
thf(setunionsingleton,definition,
( setunionsingleton
= ( ! [Xx: $i] :
( ( setunion @ ( setadjoin @ Xx @ emptyset ) )
= Xx ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',setunionsingleton) ).
thf(singleton,definition,
( singleton
= ( ^ [A: $i] :
? [Xx: $i] :
( ( in @ Xx @ A )
& ( A
= ( setadjoin @ Xx @ emptyset ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',singleton) ).
thf(uniqinunit,definition,
( uniqinunit
= ( ! [Xx: $i,Xy: $i] :
( ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) )
=> ( Xx = Xy ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',uniqinunit) ).
thf(1,conjecture,
( uniqinunit
=> ( in__Cong
=> ( setadjoin__Cong
=> ( setunion__Cong
=> ( setunionsingleton
=> ! [X: $i] :
( ( singleton @ X )
=> ! [Xx: $i] :
( ( in @ Xx @ X )
=> ( ( setunion @ X )
= Xx ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theeq) ).
thf(2,negated_conjecture,
( ( uniqinunit
=> ( in__Cong
=> ( setadjoin__Cong
=> ( setunion__Cong
=> ( setunionsingleton
=> ! [X: $i] :
( ( singleton @ X )
=> ! [Xx: $i] :
( ( in @ Xx @ X )
=> ( ( setunion @ X )
= Xx ) ) ) ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
uniqinunit = $true,
inference(standard_cnf,[status(thm)],[2]) ).
thf(4,plain,
in__Cong = $true,
inference(standard_cnf,[status(thm)],[2]) ).
thf(5,plain,
setadjoin__Cong = $true,
inference(standard_cnf,[status(thm)],[2]) ).
thf(6,plain,
setunion__Cong = $true,
inference(standard_cnf,[status(thm)],[2]) ).
thf(7,plain,
setunionsingleton = $true,
inference(standard_cnf,[status(thm)],[2]) ).
thf(8,plain,
( ( ! [X: $i] :
( ( singleton @ X )
=> ! [Xx: $i] :
( ( in @ Xx @ X )
=> ( ( setunion @ X )
= Xx ) ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[2]) ).
thf(9,plain,
( ( ~ ! [X: $i] :
( ( singleton @ X )
=> ! [Xx: $i] :
( ( in @ Xx @ X )
=> ( ( setunion @ X )
= Xx ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[8]) ).
thf(10,plain,
( ( ( singleton @ sK1_X )
& ( in @ sK2_SY0 @ sK1_X )
& ( ( setunion @ sK1_X )
!= sK2_SY0 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[9]) ).
thf(11,plain,
setunionsingleton = $true,
inference(copy,[status(thm)],[7]) ).
thf(12,plain,
setunion__Cong = $true,
inference(copy,[status(thm)],[6]) ).
thf(13,plain,
setadjoin__Cong = $true,
inference(copy,[status(thm)],[5]) ).
thf(14,plain,
in__Cong = $true,
inference(copy,[status(thm)],[4]) ).
thf(15,plain,
uniqinunit = $true,
inference(copy,[status(thm)],[3]) ).
thf(16,plain,
( ( ( singleton @ sK1_X )
& ( in @ sK2_SY0 @ sK1_X )
& ( ( setunion @ sK1_X )
!= sK2_SY0 ) )
= $true ),
inference(copy,[status(thm)],[10]) ).
thf(17,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ! [SX2: $i,SX3: $i] :
( ( SX2 != SX3 )
| ~ ( ~ ( ~ ( in @ SX2 @ SX0 )
| ( in @ SX3 @ SX1 ) )
| ~ ( ~ ( in @ SX3 @ SX1 )
| ( in @ SX2 @ SX0 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14,in__Cong,setadjoin__Cong,setunion__Cong,setunionsingleton,singleton,uniqinunit]) ).
thf(18,plain,
( ( ~ ( ~ ~ ! [SX0: $i] :
~ ~ ( ~ ( in @ SX0 @ sK1_X )
| ( sK1_X
!= ( setadjoin @ SX0 @ emptyset ) ) )
| ~ ~ ( ~ ( in @ sK2_SY0 @ sK1_X )
| ~ ( ( ( setunion @ sK1_X )
!= sK2_SY0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[16,in__Cong,setadjoin__Cong,setunion__Cong,setunionsingleton,singleton,uniqinunit]) ).
thf(19,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ! [SX2: $i,SX3: $i] :
( ( SX2 != SX3 )
| ( ( setadjoin @ SX0 @ SX2 )
= ( setadjoin @ SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13,in__Cong,setadjoin__Cong,setunion__Cong,setunionsingleton,singleton,uniqinunit]) ).
thf(20,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( ( setunion @ SX0 )
= ( setunion @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12,in__Cong,setadjoin__Cong,setunion__Cong,setunionsingleton,singleton,uniqinunit]) ).
thf(21,plain,
( ( ! [SX0: $i] :
( ( setunion @ ( setadjoin @ SX0 @ emptyset ) )
= SX0 ) )
= $true ),
inference(unfold_def,[status(thm)],[11,in__Cong,setadjoin__Cong,setunion__Cong,setunionsingleton,singleton,uniqinunit]) ).
thf(22,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( in @ SX0 @ ( setadjoin @ SX1 @ emptyset ) )
| ( SX0 = SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[15,in__Cong,setadjoin__Cong,setunion__Cong,setunionsingleton,singleton,uniqinunit]) ).
thf(23,plain,
! [SV1: $i] :
( ( ! [SY1: $i] :
( ( SV1 != SY1 )
| ! [SY2: $i,SY3: $i] :
( ( SY2 != SY3 )
| ~ ( ~ ( ~ ( in @ SY2 @ SV1 )
| ( in @ SY3 @ SY1 ) )
| ~ ( ~ ( in @ SY3 @ SY1 )
| ( in @ SY2 @ SV1 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[17]) ).
thf(24,plain,
( ( ~ ~ ! [SX0: $i] :
~ ~ ( ~ ( in @ SX0 @ sK1_X )
| ( sK1_X
!= ( setadjoin @ SX0 @ emptyset ) ) )
| ~ ~ ( ~ ( in @ sK2_SY0 @ sK1_X )
| ~ ( ( ( setunion @ sK1_X )
!= sK2_SY0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[18]) ).
thf(25,plain,
! [SV2: $i] :
( ( ! [SY4: $i] :
( ( SV2 != SY4 )
| ! [SY5: $i,SY6: $i] :
( ( SY5 != SY6 )
| ( ( setadjoin @ SV2 @ SY5 )
= ( setadjoin @ SY4 @ SY6 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[19]) ).
thf(26,plain,
! [SV3: $i] :
( ( ! [SY7: $i] :
( ( SV3 != SY7 )
| ( ( setunion @ SV3 )
= ( setunion @ SY7 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[20]) ).
thf(27,plain,
! [SV4: $i] :
( ( ( setunion @ ( setadjoin @ SV4 @ emptyset ) )
= SV4 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[21]) ).
thf(28,plain,
! [SV5: $i] :
( ( ! [SY8: $i] :
( ~ ( in @ SV5 @ ( setadjoin @ SY8 @ emptyset ) )
| ( SV5 = SY8 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[22]) ).
thf(29,plain,
! [SV6: $i,SV1: $i] :
( ( ( SV1 != SV6 )
| ! [SY9: $i,SY10: $i] :
( ( SY9 != SY10 )
| ~ ( ~ ( ~ ( in @ SY9 @ SV1 )
| ( in @ SY10 @ SV6 ) )
| ~ ( ~ ( in @ SY10 @ SV6 )
| ( in @ SY9 @ SV1 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[23]) ).
thf(30,plain,
( ( ~ ~ ! [SX0: $i] :
~ ~ ( ~ ( in @ SX0 @ sK1_X )
| ( sK1_X
!= ( setadjoin @ SX0 @ emptyset ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[24]) ).
thf(31,plain,
( ( ~ ~ ( ~ ( in @ sK2_SY0 @ sK1_X )
| ~ ( ( ( setunion @ sK1_X )
!= sK2_SY0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[24]) ).
thf(32,plain,
! [SV7: $i,SV2: $i] :
( ( ( SV2 != SV7 )
| ! [SY11: $i,SY12: $i] :
( ( SY11 != SY12 )
| ( ( setadjoin @ SV2 @ SY11 )
= ( setadjoin @ SV7 @ SY12 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[25]) ).
thf(33,plain,
! [SV8: $i,SV3: $i] :
( ( ( SV3 != SV8 )
| ( ( setunion @ SV3 )
= ( setunion @ SV8 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[26]) ).
thf(34,plain,
! [SV9: $i,SV5: $i] :
( ( ~ ( in @ SV5 @ ( setadjoin @ SV9 @ emptyset ) )
| ( SV5 = SV9 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[28]) ).
thf(35,plain,
! [SV6: $i,SV1: $i] :
( ( ( ( SV1 != SV6 ) )
= $true )
| ( ( ! [SY9: $i,SY10: $i] :
( ( SY9 != SY10 )
| ~ ( ~ ( ~ ( in @ SY9 @ SV1 )
| ( in @ SY10 @ SV6 ) )
| ~ ( ~ ( in @ SY10 @ SV6 )
| ( in @ SY9 @ SV1 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[29]) ).
thf(36,plain,
( ( ~ ! [SX0: $i] :
~ ~ ( ~ ( in @ SX0 @ sK1_X )
| ( sK1_X
!= ( setadjoin @ SX0 @ emptyset ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[30]) ).
thf(37,plain,
( ( ~ ( ~ ( in @ sK2_SY0 @ sK1_X )
| ~ ( ( ( setunion @ sK1_X )
!= sK2_SY0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[31]) ).
thf(38,plain,
! [SV7: $i,SV2: $i] :
( ( ( ( SV2 != SV7 ) )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ( SY11 != SY12 )
| ( ( setadjoin @ SV2 @ SY11 )
= ( setadjoin @ SV7 @ SY12 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[32]) ).
thf(39,plain,
! [SV8: $i,SV3: $i] :
( ( ( ( SV3 != SV8 ) )
= $true )
| ( ( ( setunion @ SV3 )
= ( setunion @ SV8 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[33]) ).
thf(40,plain,
! [SV9: $i,SV5: $i] :
( ( ( ~ ( in @ SV5 @ ( setadjoin @ SV9 @ emptyset ) ) )
= $true )
| ( ( SV5 = SV9 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[34]) ).
thf(41,plain,
! [SV6: $i,SV1: $i] :
( ( ( SV1 = SV6 )
= $false )
| ( ( ! [SY9: $i,SY10: $i] :
( ( SY9 != SY10 )
| ~ ( ~ ( ~ ( in @ SY9 @ SV1 )
| ( in @ SY10 @ SV6 ) )
| ~ ( ~ ( in @ SY10 @ SV6 )
| ( in @ SY9 @ SV1 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[35]) ).
thf(42,plain,
( ( ! [SX0: $i] :
~ ~ ( ~ ( in @ SX0 @ sK1_X )
| ( sK1_X
!= ( setadjoin @ SX0 @ emptyset ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[36]) ).
thf(43,plain,
( ( ~ ( in @ sK2_SY0 @ sK1_X )
| ~ ( ( ( setunion @ sK1_X )
!= sK2_SY0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[37]) ).
thf(44,plain,
! [SV7: $i,SV2: $i] :
( ( ( SV2 = SV7 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ( SY11 != SY12 )
| ( ( setadjoin @ SV2 @ SY11 )
= ( setadjoin @ SV7 @ SY12 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[38]) ).
thf(45,plain,
! [SV8: $i,SV3: $i] :
( ( ( SV3 = SV8 )
= $false )
| ( ( ( setunion @ SV3 )
= ( setunion @ SV8 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[39]) ).
thf(46,plain,
! [SV9: $i,SV5: $i] :
( ( ( in @ SV5 @ ( setadjoin @ SV9 @ emptyset ) )
= $false )
| ( ( SV5 = SV9 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[40]) ).
thf(47,plain,
! [SV6: $i,SV1: $i,SV10: $i] :
( ( ( ! [SY13: $i] :
( ( SV10 != SY13 )
| ~ ( ~ ( ~ ( in @ SV10 @ SV1 )
| ( in @ SY13 @ SV6 ) )
| ~ ( ~ ( in @ SY13 @ SV6 )
| ( in @ SV10 @ SV1 ) ) ) ) )
= $true )
| ( ( SV1 = SV6 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[41]) ).
thf(48,plain,
( ( ~ ~ ( ~ ( in @ sK3_SX0 @ sK1_X )
| ( sK1_X
!= ( setadjoin @ sK3_SX0 @ emptyset ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[42]) ).
thf(49,plain,
( ( ~ ( in @ sK2_SY0 @ sK1_X ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[43]) ).
thf(50,plain,
( ( ~ ( ( ( setunion @ sK1_X )
!= sK2_SY0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[43]) ).
thf(51,plain,
! [SV7: $i,SV2: $i,SV11: $i] :
( ( ( ! [SY14: $i] :
( ( SV11 != SY14 )
| ( ( setadjoin @ SV2 @ SV11 )
= ( setadjoin @ SV7 @ SY14 ) ) ) )
= $true )
| ( ( SV2 = SV7 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[44]) ).
thf(52,plain,
! [SV6: $i,SV1: $i,SV12: $i,SV10: $i] :
( ( ( ( SV10 != SV12 )
| ~ ( ~ ( ~ ( in @ SV10 @ SV1 )
| ( in @ SV12 @ SV6 ) )
| ~ ( ~ ( in @ SV12 @ SV6 )
| ( in @ SV10 @ SV1 ) ) ) )
= $true )
| ( ( SV1 = SV6 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[47]) ).
thf(53,plain,
( ( ~ ( ~ ( in @ sK3_SX0 @ sK1_X )
| ( sK1_X
!= ( setadjoin @ sK3_SX0 @ emptyset ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[48]) ).
thf(54,plain,
( ( in @ sK2_SY0 @ sK1_X )
= $true ),
inference(extcnf_not_neg,[status(thm)],[49]) ).
thf(55,plain,
( ( ( ( setunion @ sK1_X )
!= sK2_SY0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[50]) ).
thf(56,plain,
! [SV7: $i,SV2: $i,SV13: $i,SV11: $i] :
( ( ( ( SV11 != SV13 )
| ( ( setadjoin @ SV2 @ SV11 )
= ( setadjoin @ SV7 @ SV13 ) ) )
= $true )
| ( ( SV2 = SV7 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[51]) ).
thf(57,plain,
! [SV6: $i,SV1: $i,SV12: $i,SV10: $i] :
( ( ( ( SV10 != SV12 ) )
= $true )
| ( ( ~ ( ~ ( ~ ( in @ SV10 @ SV1 )
| ( in @ SV12 @ SV6 ) )
| ~ ( ~ ( in @ SV12 @ SV6 )
| ( in @ SV10 @ SV1 ) ) ) )
= $true )
| ( ( SV1 = SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[52]) ).
thf(58,plain,
( ( ~ ( in @ sK3_SX0 @ sK1_X )
| ( sK1_X
!= ( setadjoin @ sK3_SX0 @ emptyset ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[53]) ).
thf(59,plain,
( ( ( setunion @ sK1_X )
= sK2_SY0 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[55]) ).
thf(60,plain,
! [SV7: $i,SV2: $i,SV13: $i,SV11: $i] :
( ( ( ( SV11 != SV13 ) )
= $true )
| ( ( ( setadjoin @ SV2 @ SV11 )
= ( setadjoin @ SV7 @ SV13 ) )
= $true )
| ( ( SV2 = SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[56]) ).
thf(61,plain,
! [SV6: $i,SV1: $i,SV12: $i,SV10: $i] :
( ( ( SV10 = SV12 )
= $false )
| ( ( ~ ( ~ ( ~ ( in @ SV10 @ SV1 )
| ( in @ SV12 @ SV6 ) )
| ~ ( ~ ( in @ SV12 @ SV6 )
| ( in @ SV10 @ SV1 ) ) ) )
= $true )
| ( ( SV1 = SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[57]) ).
thf(62,plain,
( ( ~ ( in @ sK3_SX0 @ sK1_X ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[58]) ).
thf(63,plain,
( ( ( sK1_X
!= ( setadjoin @ sK3_SX0 @ emptyset ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[58]) ).
thf(64,plain,
! [SV7: $i,SV2: $i,SV13: $i,SV11: $i] :
( ( ( SV11 = SV13 )
= $false )
| ( ( ( setadjoin @ SV2 @ SV11 )
= ( setadjoin @ SV7 @ SV13 ) )
= $true )
| ( ( SV2 = SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[60]) ).
thf(65,plain,
! [SV6: $i,SV12: $i,SV1: $i,SV10: $i] :
( ( ( ~ ( ~ ( in @ SV10 @ SV1 )
| ( in @ SV12 @ SV6 ) )
| ~ ( ~ ( in @ SV12 @ SV6 )
| ( in @ SV10 @ SV1 ) ) )
= $false )
| ( ( SV10 = SV12 )
= $false )
| ( ( SV1 = SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[61]) ).
thf(66,plain,
( ( in @ sK3_SX0 @ sK1_X )
= $true ),
inference(extcnf_not_neg,[status(thm)],[62]) ).
thf(67,plain,
( ( sK1_X
= ( setadjoin @ sK3_SX0 @ emptyset ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[63]) ).
thf(68,plain,
! [SV6: $i,SV12: $i,SV1: $i,SV10: $i] :
( ( ( ~ ( ~ ( in @ SV10 @ SV1 )
| ( in @ SV12 @ SV6 ) ) )
= $false )
| ( ( SV10 = SV12 )
= $false )
| ( ( SV1 = SV6 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[65]) ).
thf(69,plain,
! [SV1: $i,SV10: $i,SV6: $i,SV12: $i] :
( ( ( ~ ( ~ ( in @ SV12 @ SV6 )
| ( in @ SV10 @ SV1 ) ) )
= $false )
| ( ( SV10 = SV12 )
= $false )
| ( ( SV1 = SV6 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[65]) ).
thf(70,plain,
! [SV6: $i,SV12: $i,SV1: $i,SV10: $i] :
( ( ( ~ ( in @ SV10 @ SV1 )
| ( in @ SV12 @ SV6 ) )
= $true )
| ( ( SV10 = SV12 )
= $false )
| ( ( SV1 = SV6 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[68]) ).
thf(71,plain,
! [SV1: $i,SV10: $i,SV6: $i,SV12: $i] :
( ( ( ~ ( in @ SV12 @ SV6 )
| ( in @ SV10 @ SV1 ) )
= $true )
| ( ( SV10 = SV12 )
= $false )
| ( ( SV1 = SV6 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[69]) ).
thf(72,plain,
! [SV6: $i,SV12: $i,SV1: $i,SV10: $i] :
( ( ( ~ ( in @ SV10 @ SV1 ) )
= $true )
| ( ( in @ SV12 @ SV6 )
= $true )
| ( ( SV10 = SV12 )
= $false )
| ( ( SV1 = SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[70]) ).
thf(73,plain,
! [SV1: $i,SV10: $i,SV6: $i,SV12: $i] :
( ( ( ~ ( in @ SV12 @ SV6 ) )
= $true )
| ( ( in @ SV10 @ SV1 )
= $true )
| ( ( SV10 = SV12 )
= $false )
| ( ( SV1 = SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[71]) ).
thf(74,plain,
! [SV6: $i,SV12: $i,SV1: $i,SV10: $i] :
( ( ( in @ SV10 @ SV1 )
= $false )
| ( ( in @ SV12 @ SV6 )
= $true )
| ( ( SV10 = SV12 )
= $false )
| ( ( SV1 = SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[72]) ).
thf(75,plain,
! [SV1: $i,SV10: $i,SV6: $i,SV12: $i] :
( ( ( in @ SV12 @ SV6 )
= $false )
| ( ( in @ SV10 @ SV1 )
= $true )
| ( ( SV10 = SV12 )
= $false )
| ( ( SV1 = SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[73]) ).
thf(76,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[27,75,74,67,66,64,59,54,46,45]) ).
thf(77,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[76]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SEU706^2 : TPTP v8.1.0. Released v3.7.0.
% 0.07/0.12 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.33 % Computer : n011.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 : Mon Jun 20 03:16:54 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: 1174
% 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:false,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)...
% 0.18/0.38
% 0.18/0.38 ********************************
% 0.18/0.38 * All subproblems solved! *
% 0.18/0.38 ********************************
% 0.18/0.38 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:5,ps:3,u:6,ude:false,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:76,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.18/0.38
% 0.18/0.38 %**** Beginning of derivation protocol ****
% 0.18/0.38 % SZS output start CNFRefutation
% See solution above
% 0.18/0.38
% 0.18/0.38 %**** End of derivation protocol ****
% 0.18/0.38 %**** no. of clauses in derivation: 77 ****
% 0.18/0.38 %**** clause counter: 76 ****
% 0.18/0.38
% 0.18/0.38 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:5,ps:3,u:6,ude:false,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:76,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------