TSTP Solution File: SEU633^2 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SEU633^2 : 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 : n024.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 12:13:31 EDT 2022
% Result : Theorem 0.21s 0.40s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 8
% Syntax : Number of formulae : 73 ( 22 unt; 6 typ; 1 def)
% Number of atoms : 513 ( 145 equ; 0 cnn)
% Maximal formula atoms : 4 ( 7 avg)
% Number of connectives : 868 ( 179 ~; 141 |; 11 &; 517 @)
% ( 0 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 6 usr; 5 con; 0-3 aty)
% Number of variables : 149 ( 0 ^ 144 !; 5 ?; 149 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_in,type,
in: $i > $i > $o ).
thf(tp_sK1_A,type,
sK1_A: $i ).
thf(tp_sK2_SY10,type,
sK2_SY10: $i ).
thf(tp_sK3_B,type,
sK3_B: $o > $i > $i > $i ).
thf(tp_setunion,type,
setunion: $i > $i ).
thf(tp_setunionE,type,
setunionE: $o ).
thf(setunionE,definition,
( setunionE
= ( ! [A: $i,Xx: $i] :
( ( in @ Xx @ ( setunion @ A ) )
=> ! [Xphi: $o] :
( ! [B: $i] :
( ( in @ Xx @ B )
=> ( ( in @ B @ A )
=> Xphi ) )
=> Xphi ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',setunionE) ).
thf(1,conjecture,
( setunionE
=> ! [A: $i,Xx: $i] :
( ( in @ Xx @ ( setunion @ A ) )
=> ? [X: $i] :
( ( in @ X @ A )
& ( in @ Xx @ X ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',setunionE2) ).
thf(2,negated_conjecture,
( ( setunionE
=> ! [A: $i,Xx: $i] :
( ( in @ Xx @ ( setunion @ A ) )
=> ? [X: $i] :
( ( in @ X @ A )
& ( in @ Xx @ X ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ! [A: $i,Xx: $i] :
( ( in @ Xx @ ( setunion @ A ) )
=> ! [Xphi: $o] :
( ! [B: $i] :
( ( in @ Xx @ B )
=> ( ( in @ B @ A )
=> Xphi ) )
=> Xphi ) )
=> ! [A: $i,Xx: $i] :
( ( in @ Xx @ ( setunion @ A ) )
=> ? [X: $i] :
( ( in @ X @ A )
& ( in @ Xx @ X ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2,setunionE]) ).
thf(4,plain,
( ( ! [A: $i,Xx: $i] :
( ( in @ Xx @ ( setunion @ A ) )
=> ! [Xphi: $o] :
( ! [B: $i] :
( ( in @ Xx @ B )
=> ( ( in @ B @ A )
=> Xphi ) )
=> Xphi ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(5,plain,
( ( ! [A: $i,Xx: $i] :
( ( in @ Xx @ ( setunion @ A ) )
=> ? [X: $i] :
( ( in @ X @ A )
& ( in @ Xx @ X ) ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(6,plain,
( ( ~ ! [A: $i,Xx: $i] :
( ( in @ Xx @ ( setunion @ A ) )
=> ? [X: $i] :
( ( in @ X @ A )
& ( in @ Xx @ X ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[5]) ).
thf(7,plain,
( ( ( in @ sK2_SY10 @ ( setunion @ sK1_A ) )
& ! [SY12: $i] :
( ~ ( in @ SY12 @ sK1_A )
| ~ ( in @ sK2_SY10 @ SY12 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[6]) ).
thf(8,plain,
( ( ! [A: $i,Xx: $i] :
( ~ ( in @ Xx @ ( setunion @ A ) )
| ! [Xphi: $o] :
( ( ( in @ Xx @ ( sK3_B @ Xphi @ Xx @ A ) )
& ( in @ ( sK3_B @ Xphi @ Xx @ A ) @ A )
& ~ Xphi )
| Xphi ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[4]) ).
thf(9,plain,
( ( ! [A: $i,Xx: $i] :
( ~ ( in @ Xx @ ( setunion @ A ) )
| ! [Xphi: $o] :
( ( ( in @ Xx @ ( sK3_B @ Xphi @ Xx @ A ) )
& ( in @ ( sK3_B @ Xphi @ Xx @ A ) @ A )
& ~ Xphi )
| Xphi ) ) )
= $true ),
inference(copy,[status(thm)],[8]) ).
thf(10,plain,
( ( ( in @ sK2_SY10 @ ( setunion @ sK1_A ) )
& ! [SY12: $i] :
( ~ ( in @ SY12 @ sK1_A )
| ~ ( in @ sK2_SY10 @ SY12 ) ) )
= $true ),
inference(copy,[status(thm)],[7]) ).
thf(11,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( in @ SX1 @ ( setunion @ SX0 ) )
| ! [SX2: $o] :
( ~ ( ~ ( in @ SX1 @ ( sK3_B @ SX2 @ SX1 @ SX0 ) )
| ~ ~ ( ~ ( in @ ( sK3_B @ SX2 @ SX1 @ SX0 ) @ SX0 )
| ~ ~ SX2 ) )
| SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9,setunionE]) ).
thf(12,plain,
( ( ~ ( ~ ( in @ sK2_SY10 @ ( setunion @ sK1_A ) )
| ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ sK1_A )
| ~ ( in @ sK2_SY10 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10,setunionE]) ).
thf(13,plain,
! [SV1: $i] :
( ( ! [SY13: $i] :
( ~ ( in @ SY13 @ ( setunion @ SV1 ) )
| ! [SY14: $o] :
( ~ ( ~ ( in @ SY13 @ ( sK3_B @ SY14 @ SY13 @ SV1 ) )
| ~ ~ ( ~ ( in @ ( sK3_B @ SY14 @ SY13 @ SV1 ) @ SV1 )
| ~ ~ SY14 ) )
| SY14 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[11]) ).
thf(14,plain,
( ( ~ ( in @ sK2_SY10 @ ( setunion @ sK1_A ) )
| ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ sK1_A )
| ~ ( in @ sK2_SY10 @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[12]) ).
thf(15,plain,
! [SV1: $i,SV2: $i] :
( ( ~ ( in @ SV2 @ ( setunion @ SV1 ) )
| ! [SY15: $o] :
( ~ ( ~ ( in @ SV2 @ ( sK3_B @ SY15 @ SV2 @ SV1 ) )
| ~ ~ ( ~ ( in @ ( sK3_B @ SY15 @ SV2 @ SV1 ) @ SV1 )
| ~ ~ SY15 ) )
| SY15 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[13]) ).
thf(16,plain,
( ( ~ ( in @ sK2_SY10 @ ( setunion @ sK1_A ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[14]) ).
thf(17,plain,
( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ sK1_A )
| ~ ( in @ sK2_SY10 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[14]) ).
thf(18,plain,
! [SV1: $i,SV2: $i] :
( ( ( ~ ( in @ SV2 @ ( setunion @ SV1 ) ) )
= $true )
| ( ( ! [SY15: $o] :
( ~ ( ~ ( in @ SV2 @ ( sK3_B @ SY15 @ SV2 @ SV1 ) )
| ~ ~ ( ~ ( in @ ( sK3_B @ SY15 @ SV2 @ SV1 ) @ SV1 )
| ~ ~ SY15 ) )
| SY15 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[15]) ).
thf(19,plain,
( ( in @ sK2_SY10 @ ( setunion @ sK1_A ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[16]) ).
thf(20,plain,
( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ sK1_A )
| ~ ( in @ sK2_SY10 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[17]) ).
thf(21,plain,
! [SV1: $i,SV2: $i] :
( ( ( in @ SV2 @ ( setunion @ SV1 ) )
= $false )
| ( ( ! [SY15: $o] :
( ~ ( ~ ( in @ SV2 @ ( sK3_B @ SY15 @ SV2 @ SV1 ) )
| ~ ~ ( ~ ( in @ ( sK3_B @ SY15 @ SV2 @ SV1 ) @ SV1 )
| ~ ~ SY15 ) )
| SY15 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[18]) ).
thf(22,plain,
! [SV3: $i] :
( ( ~ ( in @ SV3 @ sK1_A )
| ~ ( in @ sK2_SY10 @ SV3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[20]) ).
thf(23,plain,
! [SV1: $i,SV4: $o,SV2: $i] :
( ( ( ~ ( ~ ( in @ SV2 @ ( sK3_B @ SV4 @ SV2 @ SV1 ) )
| ~ ~ ( ~ ( in @ ( sK3_B @ SV4 @ SV2 @ SV1 ) @ SV1 )
| ~ ~ SV4 ) )
| SV4 )
= $true )
| ( ( in @ SV2 @ ( setunion @ SV1 ) )
= $false ) ),
inference(extcnf_forall_special_pos,[status(thm)],[21]) ).
thf(24,plain,
! [SV1: $i,SV2: $i] :
( ( ( ~ ( ~ ( in @ SV2 @ ( sK3_B @ $true @ SV2 @ SV1 ) )
| ~ ~ ( ~ ( in @ ( sK3_B @ $true @ SV2 @ SV1 ) @ SV1 )
| ~ ~ $true ) )
| $true )
= $true )
| ( ( in @ SV2 @ ( setunion @ SV1 ) )
= $false ) ),
inference(extcnf_forall_special_pos,[status(thm)],[21]) ).
thf(25,plain,
! [SV1: $i,SV2: $i] :
( ( ( ~ ( ~ ( in @ SV2 @ ( sK3_B @ $false @ SV2 @ SV1 ) )
| ~ ~ ( ~ ( in @ ( sK3_B @ $false @ SV2 @ SV1 ) @ SV1 )
| ~ ~ $false ) )
| $false )
= $true )
| ( ( in @ SV2 @ ( setunion @ SV1 ) )
= $false ) ),
inference(extcnf_forall_special_pos,[status(thm)],[21]) ).
thf(26,plain,
! [SV3: $i] :
( ( ( ~ ( in @ SV3 @ sK1_A ) )
= $true )
| ( ( ~ ( in @ sK2_SY10 @ SV3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[22]) ).
thf(27,plain,
! [SV1: $i,SV4: $o,SV2: $i] :
( ( ( ~ ( ~ ( in @ SV2 @ ( sK3_B @ SV4 @ SV2 @ SV1 ) )
| ~ ~ ( ~ ( in @ ( sK3_B @ SV4 @ SV2 @ SV1 ) @ SV1 )
| ~ ~ SV4 ) ) )
= $true )
| ( SV4 = $true )
| ( ( in @ SV2 @ ( setunion @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[23]) ).
thf(28,plain,
! [SV1: $i,SV2: $i] :
( ( ( ~ ( ~ ( in @ SV2 @ ( sK3_B @ $true @ SV2 @ SV1 ) )
| ~ ~ ( ~ ( in @ ( sK3_B @ $true @ SV2 @ SV1 ) @ SV1 )
| ~ ~ $true ) ) )
= $true )
| ( $true = $true )
| ( ( in @ SV2 @ ( setunion @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[24]) ).
thf(29,plain,
! [SV1: $i,SV2: $i] :
( ( ( ~ ( ~ ( in @ SV2 @ ( sK3_B @ $false @ SV2 @ SV1 ) )
| ~ ~ ( ~ ( in @ ( sK3_B @ $false @ SV2 @ SV1 ) @ SV1 )
| ~ ~ $false ) ) )
= $true )
| ( $false = $true )
| ( ( in @ SV2 @ ( setunion @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[25]) ).
thf(30,plain,
! [SV3: $i] :
( ( ( in @ SV3 @ sK1_A )
= $false )
| ( ( ~ ( in @ sK2_SY10 @ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[26]) ).
thf(31,plain,
! [SV1: $i,SV4: $o,SV2: $i] :
( ( ( ~ ( in @ SV2 @ ( sK3_B @ SV4 @ SV2 @ SV1 ) )
| ~ ~ ( ~ ( in @ ( sK3_B @ SV4 @ SV2 @ SV1 ) @ SV1 )
| ~ ~ SV4 ) )
= $false )
| ( SV4 = $true )
| ( ( in @ SV2 @ ( setunion @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[27]) ).
thf(32,plain,
! [SV1: $i,SV2: $i] :
( ( ( ~ ( in @ SV2 @ ( sK3_B @ $true @ SV2 @ SV1 ) )
| ~ ~ ( ~ ( in @ ( sK3_B @ $true @ SV2 @ SV1 ) @ SV1 )
| ~ ~ $true ) )
= $false )
| ( $true = $true )
| ( ( in @ SV2 @ ( setunion @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[28]) ).
thf(33,plain,
! [SV1: $i,SV2: $i] :
( ( ( ~ ( in @ SV2 @ ( sK3_B @ $false @ SV2 @ SV1 ) )
| ~ ~ ( ~ ( in @ ( sK3_B @ $false @ SV2 @ SV1 ) @ SV1 )
| ~ ~ $false ) )
= $false )
| ( $false = $true )
| ( ( in @ SV2 @ ( setunion @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[29]) ).
thf(34,plain,
! [SV3: $i] :
( ( ( in @ sK2_SY10 @ SV3 )
= $false )
| ( ( in @ SV3 @ sK1_A )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[30]) ).
thf(35,plain,
! [SV1: $i,SV4: $o,SV2: $i] :
( ( ( ~ ( in @ SV2 @ ( sK3_B @ SV4 @ SV2 @ SV1 ) ) )
= $false )
| ( SV4 = $true )
| ( ( in @ SV2 @ ( setunion @ SV1 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[31]) ).
thf(36,plain,
! [SV1: $i,SV2: $i,SV4: $o] :
( ( ( ~ ~ ( ~ ( in @ ( sK3_B @ SV4 @ SV2 @ SV1 ) @ SV1 )
| ~ ~ SV4 ) )
= $false )
| ( SV4 = $true )
| ( ( in @ SV2 @ ( setunion @ SV1 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[31]) ).
thf(37,plain,
! [SV1: $i,SV2: $i] :
( ( ( ~ ( in @ SV2 @ ( sK3_B @ $true @ SV2 @ SV1 ) ) )
= $false )
| ( $true = $true )
| ( ( in @ SV2 @ ( setunion @ SV1 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[32]) ).
thf(38,plain,
! [SV1: $i,SV2: $i] :
( ( ( ~ ~ ( ~ ( in @ ( sK3_B @ $true @ SV2 @ SV1 ) @ SV1 )
| ~ ~ $true ) )
= $false )
| ( $true = $true )
| ( ( in @ SV2 @ ( setunion @ SV1 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[32]) ).
thf(39,plain,
! [SV1: $i,SV2: $i] :
( ( ( ~ ( in @ SV2 @ ( sK3_B @ $false @ SV2 @ SV1 ) ) )
= $false )
| ( $false = $true )
| ( ( in @ SV2 @ ( setunion @ SV1 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[33]) ).
thf(40,plain,
! [SV1: $i,SV2: $i] :
( ( ( ~ ~ ( ~ ( in @ ( sK3_B @ $false @ SV2 @ SV1 ) @ SV1 )
| ~ ~ $false ) )
= $false )
| ( $false = $true )
| ( ( in @ SV2 @ ( setunion @ SV1 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[33]) ).
thf(41,plain,
! [SV1: $i,SV4: $o,SV2: $i] :
( ( ( in @ SV2 @ ( sK3_B @ SV4 @ SV2 @ SV1 ) )
= $true )
| ( SV4 = $true )
| ( ( in @ SV2 @ ( setunion @ SV1 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[35]) ).
thf(42,plain,
! [SV1: $i,SV2: $i,SV4: $o] :
( ( ( ~ ( ~ ( in @ ( sK3_B @ SV4 @ SV2 @ SV1 ) @ SV1 )
| ~ ~ SV4 ) )
= $true )
| ( SV4 = $true )
| ( ( in @ SV2 @ ( setunion @ SV1 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[36]) ).
thf(43,plain,
! [SV1: $i,SV2: $i] :
( ( ( in @ SV2 @ ( sK3_B @ $true @ SV2 @ SV1 ) )
= $true )
| ( $true = $true )
| ( ( in @ SV2 @ ( setunion @ SV1 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[37]) ).
thf(44,plain,
! [SV1: $i,SV2: $i] :
( ( ( ~ ( ~ ( in @ ( sK3_B @ $true @ SV2 @ SV1 ) @ SV1 )
| ~ ~ $true ) )
= $true )
| ( $true = $true )
| ( ( in @ SV2 @ ( setunion @ SV1 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[38]) ).
thf(45,plain,
! [SV1: $i,SV2: $i] :
( ( ( in @ SV2 @ ( sK3_B @ $false @ SV2 @ SV1 ) )
= $true )
| ( $false = $true )
| ( ( in @ SV2 @ ( setunion @ SV1 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[39]) ).
thf(46,plain,
! [SV1: $i,SV2: $i] :
( ( ( ~ ( ~ ( in @ ( sK3_B @ $false @ SV2 @ SV1 ) @ SV1 )
| ~ ~ $false ) )
= $true )
| ( $false = $true )
| ( ( in @ SV2 @ ( setunion @ SV1 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[40]) ).
thf(47,plain,
! [SV1: $i,SV2: $i,SV4: $o] :
( ( ( ~ ( in @ ( sK3_B @ SV4 @ SV2 @ SV1 ) @ SV1 )
| ~ ~ SV4 )
= $false )
| ( SV4 = $true )
| ( ( in @ SV2 @ ( setunion @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[42]) ).
thf(48,plain,
! [SV1: $i,SV2: $i] :
( ( ( ~ ( in @ ( sK3_B @ $true @ SV2 @ SV1 ) @ SV1 )
| ~ ~ $true )
= $false )
| ( $true = $true )
| ( ( in @ SV2 @ ( setunion @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[44]) ).
thf(49,plain,
! [SV1: $i,SV2: $i] :
( ( ( ~ ( in @ ( sK3_B @ $false @ SV2 @ SV1 ) @ SV1 )
| ~ ~ $false )
= $false )
| ( $false = $true )
| ( ( in @ SV2 @ ( setunion @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[46]) ).
thf(50,plain,
! [SV1: $i,SV2: $i,SV4: $o] :
( ( ( ~ ( in @ ( sK3_B @ SV4 @ SV2 @ SV1 ) @ SV1 ) )
= $false )
| ( SV4 = $true )
| ( ( in @ SV2 @ ( setunion @ SV1 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[47]) ).
thf(51,plain,
! [SV1: $i,SV2: $i,SV4: $o] :
( ( ( ~ ~ SV4 )
= $false )
| ( SV4 = $true )
| ( ( in @ SV2 @ ( setunion @ SV1 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[47]) ).
thf(52,plain,
! [SV1: $i,SV2: $i] :
( ( ( ~ ( in @ ( sK3_B @ $true @ SV2 @ SV1 ) @ SV1 ) )
= $false )
| ( $true = $true )
| ( ( in @ SV2 @ ( setunion @ SV1 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[48]) ).
thf(53,plain,
! [SV1: $i,SV2: $i] :
( ( ( ~ ~ $true )
= $false )
| ( $true = $true )
| ( ( in @ SV2 @ ( setunion @ SV1 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[48]) ).
thf(54,plain,
! [SV1: $i,SV2: $i] :
( ( ( ~ ( in @ ( sK3_B @ $false @ SV2 @ SV1 ) @ SV1 ) )
= $false )
| ( $false = $true )
| ( ( in @ SV2 @ ( setunion @ SV1 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[49]) ).
thf(55,plain,
! [SV1: $i,SV2: $i] :
( ( ( ~ ~ $false )
= $false )
| ( $false = $true )
| ( ( in @ SV2 @ ( setunion @ SV1 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[49]) ).
thf(56,plain,
! [SV1: $i,SV2: $i,SV4: $o] :
( ( ( in @ ( sK3_B @ SV4 @ SV2 @ SV1 ) @ SV1 )
= $true )
| ( SV4 = $true )
| ( ( in @ SV2 @ ( setunion @ SV1 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[50]) ).
thf(57,plain,
! [SV1: $i,SV2: $i,SV4: $o] :
( ( ( ~ SV4 )
= $true )
| ( SV4 = $true )
| ( ( in @ SV2 @ ( setunion @ SV1 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[51]) ).
thf(58,plain,
! [SV1: $i,SV2: $i] :
( ( ( in @ ( sK3_B @ $true @ SV2 @ SV1 ) @ SV1 )
= $true )
| ( $true = $true )
| ( ( in @ SV2 @ ( setunion @ SV1 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[52]) ).
thf(59,plain,
! [SV1: $i,SV2: $i] :
( ( ( ~ $true )
= $true )
| ( $true = $true )
| ( ( in @ SV2 @ ( setunion @ SV1 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[53]) ).
thf(60,plain,
! [SV1: $i,SV2: $i] :
( ( ( in @ ( sK3_B @ $false @ SV2 @ SV1 ) @ SV1 )
= $true )
| ( $false = $true )
| ( ( in @ SV2 @ ( setunion @ SV1 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[54]) ).
thf(61,plain,
! [SV1: $i,SV2: $i] :
( ( ( ~ $false )
= $true )
| ( $false = $true )
| ( ( in @ SV2 @ ( setunion @ SV1 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[55]) ).
thf(62,plain,
! [SV1: $i,SV2: $i,SV4: $o] :
( ( SV4 = $false )
| ( SV4 = $true )
| ( ( in @ SV2 @ ( setunion @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[57]) ).
thf(63,plain,
! [SV1: $i,SV2: $i] :
( ( $true = $false )
| ( $true = $true )
| ( ( in @ SV2 @ ( setunion @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[59]) ).
thf(64,plain,
! [SV1: $i,SV2: $i] :
( ( $false = $false )
| ( $false = $true )
| ( ( in @ SV2 @ ( setunion @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[61]) ).
thf(65,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[19,64,63,62,60,58,56,45,43,41,34]) ).
thf(66,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[65]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEU633^2 : TPTP v8.1.0. Released v3.7.0.
% 0.07/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.35 % Computer : n024.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sun Jun 19 16:57:32 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.36
% 0.13/0.36 No.of.Axioms: 0
% 0.13/0.36
% 0.13/0.36 Length.of.Defs: 229
% 0.13/0.36
% 0.13/0.36 Contains.Choice.Funs: false
% 0.13/0.36 (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)..
% 0.21/0.40
% 0.21/0.40 ********************************
% 0.21/0.40 * All subproblems solved! *
% 0.21/0.40 ********************************
% 0.21/0.40 % SZS status Theorem for /export/starexec/sandbox2/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:65,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.21/0.40
% 0.21/0.40 %**** Beginning of derivation protocol ****
% 0.21/0.40 % SZS output start CNFRefutation
% See solution above
% 0.21/0.40
% 0.21/0.40 %**** End of derivation protocol ****
% 0.21/0.40 %**** no. of clauses in derivation: 66 ****
% 0.21/0.40 %**** clause counter: 65 ****
% 0.21/0.40
% 0.21/0.40 % SZS status Theorem for /export/starexec/sandbox2/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:65,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------