%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : NLP266^4 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Oct 7 10:32:44 AM UTC 2026
% Result : Theorem 0.68s 0.33s
% Output : CNFRefutation 0.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 41
% Number of leaves : 16
% Syntax : Number of formulae : 143 ( 60 unt; 0 typ; 10 def)
% Number of atoms : 1222 ( 286 equ; 0 cnn)
% Maximal formula atoms : 18 ( 8 avg)
% Number of connectives : 3167 ( 581 ~; 399 |; 26 &;2124 @)
% ( 1 <=>; 36 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 5 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 16 ( 16 >; 0 *; 0 +; 0 <<)
% Number of symbols : 32 ( 29 usr; 7 con; 0-4 aty)
% Number of variables : 613 ( 40 ^; 545 !; 28 ?; 613 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_mworld,type,
mworld: $tType ).
thf(tp_do,type,
do: $i > $i > $i > mworld > $o ).
thf(tp_entry_box,type,
entry_box: $i > mworld > $o ).
thf(tp_in,type,
in: $i > $i > $i > mworld > $o ).
thf(tp_mactual,type,
mactual: mworld ).
thf(tp_mand,type,
mand: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(tp_mbox,type,
mbox: ( mworld > $o ) > mworld > $o ).
thf(tp_mdia,type,
mdia: ( mworld > $o ) > mworld > $o ).
thf(tp_mequiv,type,
mequiv: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(tp_mexists_di,type,
mexists_di: ( $i > mworld > $o ) > mworld > $o ).
thf(tp_mforall_di,type,
mforall_di: ( $i > mworld > $o ) > mworld > $o ).
thf(tp_mimplies,type,
mimplies: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(tp_mlocal,type,
mlocal: ( mworld > $o ) > $o ).
thf(tp_mnot,type,
mnot: ( mworld > $o ) > mworld > $o ).
thf(tp_mor,type,
mor: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(tp_mrel,type,
mrel: mworld > mworld > $o ).
thf(tp_number,type,
number: $i > $i > mworld > $o ).
thf(tp_one,type,
one: $i ).
thf(tp_sK1_SY86,type,
sK1_SY86: mworld ).
thf(tp_sK2_SX0,type,
sK2_SX0: $i ).
thf(tp_sK3_SY234,type,
sK3_SY234: mworld > $i ).
thf(tp_sK4_SY267,type,
sK4_SY267: $i > $i > $i > mworld > $i ).
thf(tp_sK5_SY264,type,
sK5_SY264: $i > $i > $i > $i > mworld ).
thf(tp_sK6_SY275,type,
sK6_SY275: $i > $i > $i > $i > mworld ).
thf(tp_sK7_SY280,type,
sK7_SY280: $i > $i > $i > $i > $i ).
thf(tp_sK8_SY275,type,
sK8_SY275: $i > $i > $i > $i > mworld ).
thf(tp_sK9_SY281,type,
sK9_SY281: $i > $i > $i > $i > $i ).
thf(tp_string,type,
string: $i > mworld > $o ).
thf(tp_u,type,
u: $i ).
thf(tp_userid,type,
userid: $i > $i > mworld > $o ).
thf(mand,definition,
( mand
= ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
( ( A @ W )
& ( B @ W ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mand_def) ).
thf(mbox,definition,
( mbox
= ( ^ [Phi: mworld > $o,W: mworld] :
! [V: mworld] :
( ( mrel @ W @ V )
=> ( Phi @ V ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mbox_def) ).
thf(mdia,definition,
( mdia
= ( ^ [Phi: mworld > $o,W: mworld] :
? [V: mworld] :
( ( mrel @ W @ V )
& ( Phi @ V ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mdia_def) ).
thf(mequiv,definition,
( mequiv
= ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
( ( A @ W )
<=> ( B @ W ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mequiv_def) ).
thf(mexists_di,definition,
( mexists_di
= ( ^ [A: $i > mworld > $o,W: mworld] :
? [X: $i] : ( A @ X @ W ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mexists_di_def) ).
thf(mforall_di,definition,
( mforall_di
= ( ^ [A: $i > mworld > $o,W: mworld] :
! [X: $i] : ( A @ X @ W ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mforall_di_def) ).
thf(mimplies,definition,
( mimplies
= ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
( ( A @ W )
=> ( B @ W ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mimplies_def) ).
thf(mlocal,definition,
( mlocal
= ( ^ [Phi: mworld > $o] : ( Phi @ mactual ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mlocal_def) ).
thf(mnot,definition,
( mnot
= ( ^ [A: mworld > $o,W: mworld] :
~ ( A @ W ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mnot_def) ).
thf(mor,definition,
( mor
= ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
( ( A @ W )
| ( B @ W ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mor_def) ).
thf(1,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [S: $i] :
( mforall_di
@ ^ [I: $i] :
( mforall_di
@ ^ [B: $i] :
( mimplies @ ( mand @ ( string @ I ) @ ( entry_box @ B ) )
@ ( mexists_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [S2: $i] : ( mimplies @ ( do @ S @ A @ S2 ) @ ( in @ I @ B @ S2 ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
thf(2,axiom,
( mlocal
@ ( mexists_di
@ ^ [B: $i] : ( mbox @ ( mand @ ( entry_box @ B ) @ ( number @ B @ one ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
thf(3,axiom,
( mlocal
@ ( mbox
@ ( mexists_di
@ ^ [I: $i] : ( mbox @ ( mand @ ( userid @ u @ I ) @ ( string @ I ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
thf(4,axiom,
! [W: mworld,V: mworld,U: mworld] :
( ( ( mrel @ W @ V )
& ( mrel @ V @ U ) )
=> ( mrel @ W @ U ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mrel_transitive) ).
thf(5,axiom,
! [W: mworld] : ( mrel @ W @ W ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mrel_reflexive) ).
thf(6,conjecture,
( mlocal
@ ( mbox
@ ( mexists_di
@ ^ [I: $i] :
( mexists_di
@ ^ [B: $i] :
( mexists_di
@ ^ [A: $i] :
( mexists_di
@ ^ [S: $i] :
( mand @ ( mbox @ ( mand @ ( userid @ u @ I ) @ ( mand @ ( entry_box @ B ) @ ( number @ B @ one ) ) ) )
@ ( mbox
@ ( mforall_di
@ ^ [S2: $i] : ( mimplies @ ( do @ S @ A @ S2 ) @ ( in @ I @ B @ S2 ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
thf(7,negated_conjecture,
( ( mlocal
@ ( mbox
@ ( mexists_di
@ ^ [I: $i] :
( mexists_di
@ ^ [B: $i] :
( mexists_di
@ ^ [A: $i] :
( mexists_di
@ ^ [S: $i] :
( mand @ ( mbox @ ( mand @ ( userid @ u @ I ) @ ( mand @ ( entry_box @ B ) @ ( number @ B @ one ) ) ) )
@ ( mbox
@ ( mforall_di
@ ^ [S2: $i] : ( mimplies @ ( do @ S @ A @ S2 ) @ ( in @ I @ B @ S2 ) ) ) ) ) ) ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[6]) ).
thf(8,plain,
( ( ! [SY86: mworld] :
( ( mrel @ mactual @ SY86 )
=> ? [SY79: $i,SY80: $i,SY81: $i,SY82: $i] :
( ! [SY83: mworld] :
( ( mrel @ SY86 @ SY83 )
=> ( ( userid @ u @ SY79 @ SY83 )
& ( entry_box @ SY80 @ SY83 )
& ( number @ SY80 @ one @ SY83 ) ) )
& ! [SY84: mworld] :
( ( mrel @ SY86 @ SY84 )
=> ! [SY70: $i] :
( ( do @ SY82 @ SY81 @ SY70 @ SY84 )
=> ( in @ SY79 @ SY80 @ SY70 @ SY84 ) ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[7,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(9,plain,
( ( ! [SY173: mworld] :
( ( mrel @ mactual @ SY173 )
=> ! [SY167: $i,SY168: $i,SY169: $i] :
( ( ( string @ SY168 @ SY173 )
& ( entry_box @ SY169 @ SY173 ) )
=> ? [SY170: $i] :
! [SY171: mworld] :
( ( mrel @ SY173 @ SY171 )
=> ! [SY159: $i] :
( ( do @ SY167 @ SY170 @ SY159 @ SY171 )
=> ( in @ SY168 @ SY169 @ SY159 @ SY171 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(10,plain,
( ( ? [SY198: $i] :
! [SY199: mworld] :
( ( mrel @ mactual @ SY199 )
=> ( ( entry_box @ SY198 @ SY199 )
& ( number @ SY198 @ one @ SY199 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(11,plain,
( ( ! [SY217: mworld] :
( ( mrel @ mactual @ SY217 )
=> ? [SY215: $i] :
! [SY216: mworld] :
( ( mrel @ SY217 @ SY216 )
=> ( ( userid @ u @ SY215 @ SY216 )
& ( string @ SY215 @ SY216 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(12,plain,
( ( ! [W: mworld,V: mworld,U: mworld] :
( ( ( mrel @ W @ V )
& ( mrel @ V @ U ) )
=> ( mrel @ W @ U ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(13,plain,
( ( ! [W: mworld] : ( mrel @ W @ W ) )
= $true ),
inference(unfold_def,[status(thm)],[5,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(14,plain,
( ( ( mrel @ mactual @ sK1_SY86 )
=> ? [SY227: $i,SY228: $i,SY229: $i,SY230: $i] :
( ! [SY231: mworld] :
( ( mrel @ sK1_SY86 @ SY231 )
=> ( ( userid @ u @ SY227 @ SY231 )
& ( entry_box @ SY228 @ SY231 )
& ( number @ SY228 @ one @ SY231 ) ) )
& ! [SY232: mworld] :
( ( mrel @ sK1_SY86 @ SY232 )
=> ! [SY70: $i] :
( ( do @ SY230 @ SY229 @ SY70 @ SY232 )
=> ( in @ SY227 @ SY228 @ SY70 @ SY232 ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[8]) ).
thf(15,plain,
( ( mrel @ mactual @ sK1_SY86 )
= $true ),
inference(standard_cnf,[status(thm)],[14]) ).
thf(16,plain,
( ( ? [SY227: $i,SY228: $i,SY229: $i,SY230: $i] :
( ! [SY231: mworld] :
( ( mrel @ sK1_SY86 @ SY231 )
=> ( ( userid @ u @ SY227 @ SY231 )
& ( entry_box @ SY228 @ SY231 )
& ( number @ SY228 @ one @ SY231 ) ) )
& ! [SY232: mworld] :
( ( mrel @ sK1_SY86 @ SY232 )
=> ! [SY70: $i] :
( ( do @ SY230 @ SY229 @ SY70 @ SY232 )
=> ( in @ SY227 @ SY228 @ SY70 @ SY232 ) ) ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[14]) ).
thf(17,plain,
( ( ~ ? [SY227: $i,SY228: $i,SY229: $i,SY230: $i] :
( ! [SY231: mworld] :
( ( mrel @ sK1_SY86 @ SY231 )
=> ( ( userid @ u @ SY227 @ SY231 )
& ( entry_box @ SY228 @ SY231 )
& ( number @ SY228 @ one @ SY231 ) ) )
& ! [SY232: mworld] :
( ( mrel @ sK1_SY86 @ SY232 )
=> ! [SY70: $i] :
( ( do @ SY230 @ SY229 @ SY70 @ SY232 )
=> ( in @ SY227 @ SY228 @ SY70 @ SY232 ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[16]) ).
thf(18,plain,
( ( ! [W: mworld] : ( mrel @ W @ W ) )
= $true ),
inference(copy,[status(thm)],[13]) ).
thf(19,plain,
( ( ! [W: mworld,V: mworld,U: mworld] :
( ( ( mrel @ W @ V )
& ( mrel @ V @ U ) )
=> ( mrel @ W @ U ) ) )
= $true ),
inference(copy,[status(thm)],[12]) ).
thf(20,plain,
( ( ! [SY217: mworld] :
( ( mrel @ mactual @ SY217 )
=> ? [SY215: $i] :
! [SY216: mworld] :
( ( mrel @ SY217 @ SY216 )
=> ( ( userid @ u @ SY215 @ SY216 )
& ( string @ SY215 @ SY216 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[11]) ).
thf(21,plain,
( ( ? [SY198: $i] :
! [SY199: mworld] :
( ( mrel @ mactual @ SY199 )
=> ( ( entry_box @ SY198 @ SY199 )
& ( number @ SY198 @ one @ SY199 ) ) ) )
= $true ),
inference(copy,[status(thm)],[10]) ).
thf(22,plain,
( ( ! [SY173: mworld] :
( ( mrel @ mactual @ SY173 )
=> ! [SY167: $i,SY168: $i,SY169: $i] :
( ( ( string @ SY168 @ SY173 )
& ( entry_box @ SY169 @ SY173 ) )
=> ? [SY170: $i] :
! [SY171: mworld] :
( ( mrel @ SY173 @ SY171 )
=> ! [SY159: $i] :
( ( do @ SY167 @ SY170 @ SY159 @ SY171 )
=> ( in @ SY168 @ SY169 @ SY159 @ SY171 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(23,plain,
( ( mrel @ mactual @ sK1_SY86 )
= $true ),
inference(copy,[status(thm)],[15]) ).
thf(24,plain,
( ( ~ ? [SY227: $i,SY228: $i,SY229: $i,SY230: $i] :
( ! [SY231: mworld] :
( ( mrel @ sK1_SY86 @ SY231 )
=> ( ( userid @ u @ SY227 @ SY231 )
& ( entry_box @ SY228 @ SY231 )
& ( number @ SY228 @ one @ SY231 ) ) )
& ! [SY232: mworld] :
( ( mrel @ sK1_SY86 @ SY232 )
=> ! [SY70: $i] :
( ( do @ SY230 @ SY229 @ SY70 @ SY232 )
=> ( in @ SY227 @ SY228 @ SY70 @ SY232 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[17]) ).
thf(25,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ! [SX1: $i] :
~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ~ ( ~ ( userid @ u @ SX1 @ SX2 )
| ~ ( string @ SX1 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[20,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(26,plain,
( ( ~ ! [SX0: $i] :
~ ! [SX1: mworld] :
( ~ ( mrel @ mactual @ SX1 )
| ~ ( ~ ( entry_box @ SX0 @ SX1 )
| ~ ( number @ SX0 @ one @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[21,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(27,plain,
( ( ~ ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ~ ( ~ ! [SX4: mworld] :
( ~ ( mrel @ sK1_SY86 @ SX4 )
| ~ ( ~ ( userid @ u @ SX0 @ SX4 )
| ~ ~ ( ~ ( entry_box @ SX1 @ SX4 )
| ~ ( number @ SX1 @ one @ SX4 ) ) ) )
| ~ ! [SX4: mworld] :
( ~ ( mrel @ sK1_SY86 @ SX4 )
| ! [SX5: $i] :
( ~ ( do @ SX3 @ SX2 @ SX5 @ SX4 )
| ( in @ SX0 @ SX1 @ SX5 @ SX4 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[24,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(28,plain,
( ( ! [SX0: mworld,SX1: mworld,SX2: mworld] :
( ~ ~ ( ~ ( mrel @ SX0 @ SX1 )
| ~ ( mrel @ SX1 @ SX2 ) )
| ( mrel @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[19,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(29,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i,SX2: $i,SX3: $i] :
( ~ ~ ( ~ ( string @ SX2 @ SX0 )
| ~ ( entry_box @ SX3 @ SX0 ) )
| ~ ! [SX4: $i] :
~ ! [SX5: mworld] :
( ~ ( mrel @ SX0 @ SX5 )
| ! [SX6: $i] :
( ~ ( do @ SX1 @ SX4 @ SX6 @ SX5 )
| ( in @ SX2 @ SX3 @ SX6 @ SX5 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[22,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(30,plain,
! [SV1: mworld] :
( ( mrel @ SV1 @ SV1 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[18]) ).
thf(31,plain,
! [SV2: mworld] :
( ( ~ ( mrel @ mactual @ SV2 )
| ~ ! [SY234: $i] :
~ ! [SY235: mworld] :
( ~ ( mrel @ SV2 @ SY235 )
| ~ ( ~ ( userid @ u @ SY234 @ SY235 )
| ~ ( string @ SY234 @ SY235 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[25]) ).
thf(32,plain,
( ( ! [SX0: $i] :
~ ! [SX1: mworld] :
( ~ ( mrel @ mactual @ SX1 )
| ~ ( ~ ( entry_box @ SX0 @ SX1 )
| ~ ( number @ SX0 @ one @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[26]) ).
thf(33,plain,
( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ~ ( ~ ! [SX4: mworld] :
( ~ ( mrel @ sK1_SY86 @ SX4 )
| ~ ( ~ ( userid @ u @ SX0 @ SX4 )
| ~ ~ ( ~ ( entry_box @ SX1 @ SX4 )
| ~ ( number @ SX1 @ one @ SX4 ) ) ) )
| ~ ! [SX4: mworld] :
( ~ ( mrel @ sK1_SY86 @ SX4 )
| ! [SX5: $i] :
( ~ ( do @ SX3 @ SX2 @ SX5 @ SX4 )
| ( in @ SX0 @ SX1 @ SX5 @ SX4 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[27]) ).
thf(34,plain,
! [SV3: mworld] :
( ( ! [SY236: mworld,SY237: mworld] :
( ~ ~ ( ~ ( mrel @ SV3 @ SY236 )
| ~ ( mrel @ SY236 @ SY237 ) )
| ( mrel @ SV3 @ SY237 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[28]) ).
thf(35,plain,
! [SV4: mworld] :
( ( ~ ( mrel @ mactual @ SV4 )
| ! [SY238: $i,SY239: $i,SY240: $i] :
( ~ ~ ( ~ ( string @ SY239 @ SV4 )
| ~ ( entry_box @ SY240 @ SV4 ) )
| ~ ! [SY241: $i] :
~ ! [SY242: mworld] :
( ~ ( mrel @ SV4 @ SY242 )
| ! [SX6: $i] :
( ~ ( do @ SY238 @ SY241 @ SX6 @ SY242 )
| ( in @ SY239 @ SY240 @ SX6 @ SY242 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[29]) ).
thf(36,plain,
! [SV2: mworld] :
( ( ( ~ ( mrel @ mactual @ SV2 ) )
= $true )
| ( ( ~ ! [SY234: $i] :
~ ! [SY235: mworld] :
( ~ ( mrel @ SV2 @ SY235 )
| ~ ( ~ ( userid @ u @ SY234 @ SY235 )
| ~ ( string @ SY234 @ SY235 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[31]) ).
thf(37,plain,
( ( ~ ! [SY244: mworld] :
( ~ ( mrel @ mactual @ SY244 )
| ~ ( ~ ( entry_box @ sK2_SX0 @ SY244 )
| ~ ( number @ sK2_SX0 @ one @ SY244 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[32]) ).
thf(38,plain,
( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ~ ( ~ ! [SX4: mworld] :
( ~ ( mrel @ sK1_SY86 @ SX4 )
| ~ ( ~ ( userid @ u @ SX0 @ SX4 )
| ~ ~ ( ~ ( entry_box @ SX1 @ SX4 )
| ~ ( number @ SX1 @ one @ SX4 ) ) ) )
| ~ ! [SX4: mworld] :
( ~ ( mrel @ sK1_SY86 @ SX4 )
| ! [SX5: $i] :
( ~ ( do @ SX3 @ SX2 @ SX5 @ SX4 )
| ( in @ SX0 @ SX1 @ SX5 @ SX4 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[33]) ).
thf(39,plain,
! [SV5: mworld,SV3: mworld] :
( ( ! [SY245: mworld] :
( ~ ~ ( ~ ( mrel @ SV3 @ SV5 )
| ~ ( mrel @ SV5 @ SY245 ) )
| ( mrel @ SV3 @ SY245 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[34]) ).
thf(40,plain,
! [SV4: mworld] :
( ( ( ~ ( mrel @ mactual @ SV4 ) )
= $true )
| ( ( ! [SY238: $i,SY239: $i,SY240: $i] :
( ~ ~ ( ~ ( string @ SY239 @ SV4 )
| ~ ( entry_box @ SY240 @ SV4 ) )
| ~ ! [SY241: $i] :
~ ! [SY242: mworld] :
( ~ ( mrel @ SV4 @ SY242 )
| ! [SX6: $i] :
( ~ ( do @ SY238 @ SY241 @ SX6 @ SY242 )
| ( in @ SY239 @ SY240 @ SX6 @ SY242 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[35]) ).
thf(41,plain,
! [SV2: mworld] :
( ( ( mrel @ mactual @ SV2 )
= $false )
| ( ( ~ ! [SY234: $i] :
~ ! [SY235: mworld] :
( ~ ( mrel @ SV2 @ SY235 )
| ~ ( ~ ( userid @ u @ SY234 @ SY235 )
| ~ ( string @ SY234 @ SY235 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[36]) ).
thf(42,plain,
( ( ! [SY244: mworld] :
( ~ ( mrel @ mactual @ SY244 )
| ~ ( ~ ( entry_box @ sK2_SX0 @ SY244 )
| ~ ( number @ sK2_SX0 @ one @ SY244 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[37]) ).
thf(43,plain,
! [SV6: $i] :
( ( ~ ~ ! [SY246: $i] :
~ ~ ! [SY247: $i] :
~ ~ ! [SY248: $i] :
~ ~ ( ~ ! [SY249: mworld] :
( ~ ( mrel @ sK1_SY86 @ SY249 )
| ~ ( ~ ( userid @ u @ SV6 @ SY249 )
| ~ ~ ( ~ ( entry_box @ SY246 @ SY249 )
| ~ ( number @ SY246 @ one @ SY249 ) ) ) )
| ~ ! [SY250: mworld] :
( ~ ( mrel @ sK1_SY86 @ SY250 )
| ! [SY251: $i] :
( ~ ( do @ SY248 @ SY247 @ SY251 @ SY250 )
| ( in @ SV6 @ SY246 @ SY251 @ SY250 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[38]) ).
thf(44,plain,
! [SV7: mworld,SV5: mworld,SV3: mworld] :
( ( ~ ~ ( ~ ( mrel @ SV3 @ SV5 )
| ~ ( mrel @ SV5 @ SV7 ) )
| ( mrel @ SV3 @ SV7 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[39]) ).
thf(45,plain,
! [SV4: mworld] :
( ( ( mrel @ mactual @ SV4 )
= $false )
| ( ( ! [SY238: $i,SY239: $i,SY240: $i] :
( ~ ~ ( ~ ( string @ SY239 @ SV4 )
| ~ ( entry_box @ SY240 @ SV4 ) )
| ~ ! [SY241: $i] :
~ ! [SY242: mworld] :
( ~ ( mrel @ SV4 @ SY242 )
| ! [SX6: $i] :
( ~ ( do @ SY238 @ SY241 @ SX6 @ SY242 )
| ( in @ SY239 @ SY240 @ SX6 @ SY242 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[40]) ).
thf(46,plain,
! [SV2: mworld] :
( ( ( ! [SY234: $i] :
~ ! [SY235: mworld] :
( ~ ( mrel @ SV2 @ SY235 )
| ~ ( ~ ( userid @ u @ SY234 @ SY235 )
| ~ ( string @ SY234 @ SY235 ) ) ) )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[41]) ).
thf(47,plain,
! [SV8: mworld] :
( ( ~ ( mrel @ mactual @ SV8 )
| ~ ( ~ ( entry_box @ sK2_SX0 @ SV8 )
| ~ ( number @ sK2_SX0 @ one @ SV8 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[42]) ).
thf(48,plain,
! [SV6: $i] :
( ( ~ ! [SY246: $i] :
~ ~ ! [SY247: $i] :
~ ~ ! [SY248: $i] :
~ ~ ( ~ ! [SY249: mworld] :
( ~ ( mrel @ sK1_SY86 @ SY249 )
| ~ ( ~ ( userid @ u @ SV6 @ SY249 )
| ~ ~ ( ~ ( entry_box @ SY246 @ SY249 )
| ~ ( number @ SY246 @ one @ SY249 ) ) ) )
| ~ ! [SY250: mworld] :
( ~ ( mrel @ sK1_SY86 @ SY250 )
| ! [SY251: $i] :
( ~ ( do @ SY248 @ SY247 @ SY251 @ SY250 )
| ( in @ SV6 @ SY246 @ SY251 @ SY250 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[43]) ).
thf(49,plain,
! [SV7: mworld,SV5: mworld,SV3: mworld] :
( ( ( ~ ~ ( ~ ( mrel @ SV3 @ SV5 )
| ~ ( mrel @ SV5 @ SV7 ) ) )
= $true )
| ( ( mrel @ SV3 @ SV7 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[44]) ).
thf(50,plain,
! [SV9: $i,SV4: mworld] :
( ( ( ! [SY252: $i,SY253: $i] :
( ~ ~ ( ~ ( string @ SY252 @ SV4 )
| ~ ( entry_box @ SY253 @ SV4 ) )
| ~ ! [SY254: $i] :
~ ! [SY255: mworld] :
( ~ ( mrel @ SV4 @ SY255 )
| ! [SY256: $i] :
( ~ ( do @ SV9 @ SY254 @ SY256 @ SY255 )
| ( in @ SY252 @ SY253 @ SY256 @ SY255 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[45]) ).
thf(51,plain,
! [SV2: mworld] :
( ( ( ~ ! [SY257: mworld] :
( ~ ( mrel @ SV2 @ SY257 )
| ~ ( ~ ( userid @ u @ ( sK3_SY234 @ SV2 ) @ SY257 )
| ~ ( string @ ( sK3_SY234 @ SV2 ) @ SY257 ) ) ) )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[46]) ).
thf(52,plain,
! [SV8: mworld] :
( ( ( ~ ( mrel @ mactual @ SV8 ) )
= $true )
| ( ( ~ ( ~ ( entry_box @ sK2_SX0 @ SV8 )
| ~ ( number @ sK2_SX0 @ one @ SV8 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[47]) ).
thf(53,plain,
! [SV6: $i] :
( ( ! [SY246: $i] :
~ ~ ! [SY247: $i] :
~ ~ ! [SY248: $i] :
~ ~ ( ~ ! [SY249: mworld] :
( ~ ( mrel @ sK1_SY86 @ SY249 )
| ~ ( ~ ( userid @ u @ SV6 @ SY249 )
| ~ ~ ( ~ ( entry_box @ SY246 @ SY249 )
| ~ ( number @ SY246 @ one @ SY249 ) ) ) )
| ~ ! [SY250: mworld] :
( ~ ( mrel @ sK1_SY86 @ SY250 )
| ! [SY251: $i] :
( ~ ( do @ SY248 @ SY247 @ SY251 @ SY250 )
| ( in @ SV6 @ SY246 @ SY251 @ SY250 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[48]) ).
thf(54,plain,
! [SV7: mworld,SV5: mworld,SV3: mworld] :
( ( ( ~ ( ~ ( mrel @ SV3 @ SV5 )
| ~ ( mrel @ SV5 @ SV7 ) ) )
= $false )
| ( ( mrel @ SV3 @ SV7 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[49]) ).
thf(55,plain,
! [SV9: $i,SV4: mworld,SV10: $i] :
( ( ( ! [SY258: $i] :
( ~ ~ ( ~ ( string @ SV10 @ SV4 )
| ~ ( entry_box @ SY258 @ SV4 ) )
| ~ ! [SY259: $i] :
~ ! [SY260: mworld] :
( ~ ( mrel @ SV4 @ SY260 )
| ! [SY261: $i] :
( ~ ( do @ SV9 @ SY259 @ SY261 @ SY260 )
| ( in @ SV10 @ SY258 @ SY261 @ SY260 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[50]) ).
thf(56,plain,
! [SV2: mworld] :
( ( ( ! [SY257: mworld] :
( ~ ( mrel @ SV2 @ SY257 )
| ~ ( ~ ( userid @ u @ ( sK3_SY234 @ SV2 ) @ SY257 )
| ~ ( string @ ( sK3_SY234 @ SV2 ) @ SY257 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[51]) ).
thf(57,plain,
! [SV8: mworld] :
( ( ( mrel @ mactual @ SV8 )
= $false )
| ( ( ~ ( ~ ( entry_box @ sK2_SX0 @ SV8 )
| ~ ( number @ sK2_SX0 @ one @ SV8 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[52]) ).
thf(58,plain,
! [SV11: $i,SV6: $i] :
( ( ~ ~ ! [SY262: $i] :
~ ~ ! [SY263: $i] :
~ ~ ( ~ ! [SY264: mworld] :
( ~ ( mrel @ sK1_SY86 @ SY264 )
| ~ ( ~ ( userid @ u @ SV6 @ SY264 )
| ~ ~ ( ~ ( entry_box @ SV11 @ SY264 )
| ~ ( number @ SV11 @ one @ SY264 ) ) ) )
| ~ ! [SY265: mworld] :
( ~ ( mrel @ sK1_SY86 @ SY265 )
| ! [SY266: $i] :
( ~ ( do @ SY263 @ SY262 @ SY266 @ SY265 )
| ( in @ SV6 @ SV11 @ SY266 @ SY265 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[53]) ).
thf(59,plain,
! [SV7: mworld,SV5: mworld,SV3: mworld] :
( ( ( ~ ( mrel @ SV3 @ SV5 )
| ~ ( mrel @ SV5 @ SV7 ) )
= $true )
| ( ( mrel @ SV3 @ SV7 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[54]) ).
thf(60,plain,
! [SV9: $i,SV12: $i,SV4: mworld,SV10: $i] :
( ( ( ~ ~ ( ~ ( string @ SV10 @ SV4 )
| ~ ( entry_box @ SV12 @ SV4 ) )
| ~ ! [SY267: $i] :
~ ! [SY268: mworld] :
( ~ ( mrel @ SV4 @ SY268 )
| ! [SY269: $i] :
( ~ ( do @ SV9 @ SY267 @ SY269 @ SY268 )
| ( in @ SV10 @ SV12 @ SY269 @ SY268 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[55]) ).
thf(61,plain,
! [SV13: mworld,SV2: mworld] :
( ( ( ~ ( mrel @ SV2 @ SV13 )
| ~ ( ~ ( userid @ u @ ( sK3_SY234 @ SV2 ) @ SV13 )
| ~ ( string @ ( sK3_SY234 @ SV2 ) @ SV13 ) ) )
= $true )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[56]) ).
thf(62,plain,
! [SV8: mworld] :
( ( ( ~ ( entry_box @ sK2_SX0 @ SV8 )
| ~ ( number @ sK2_SX0 @ one @ SV8 ) )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[57]) ).
thf(63,plain,
! [SV11: $i,SV6: $i] :
( ( ~ ! [SY262: $i] :
~ ~ ! [SY263: $i] :
~ ~ ( ~ ! [SY264: mworld] :
( ~ ( mrel @ sK1_SY86 @ SY264 )
| ~ ( ~ ( userid @ u @ SV6 @ SY264 )
| ~ ~ ( ~ ( entry_box @ SV11 @ SY264 )
| ~ ( number @ SV11 @ one @ SY264 ) ) ) )
| ~ ! [SY265: mworld] :
( ~ ( mrel @ sK1_SY86 @ SY265 )
| ! [SY266: $i] :
( ~ ( do @ SY263 @ SY262 @ SY266 @ SY265 )
| ( in @ SV6 @ SV11 @ SY266 @ SY265 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[58]) ).
thf(64,plain,
! [SV7: mworld,SV5: mworld,SV3: mworld] :
( ( ( ~ ( mrel @ SV3 @ SV5 ) )
= $true )
| ( ( ~ ( mrel @ SV5 @ SV7 ) )
= $true )
| ( ( mrel @ SV3 @ SV7 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[59]) ).
thf(65,plain,
! [SV9: $i,SV12: $i,SV4: mworld,SV10: $i] :
( ( ( ~ ~ ( ~ ( string @ SV10 @ SV4 )
| ~ ( entry_box @ SV12 @ SV4 ) ) )
= $true )
| ( ( ~ ! [SY267: $i] :
~ ! [SY268: mworld] :
( ~ ( mrel @ SV4 @ SY268 )
| ! [SY269: $i] :
( ~ ( do @ SV9 @ SY267 @ SY269 @ SY268 )
| ( in @ SV10 @ SV12 @ SY269 @ SY268 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[60]) ).
thf(66,plain,
! [SV13: mworld,SV2: mworld] :
( ( ( ~ ( mrel @ SV2 @ SV13 ) )
= $true )
| ( ( ~ ( ~ ( userid @ u @ ( sK3_SY234 @ SV2 ) @ SV13 )
| ~ ( string @ ( sK3_SY234 @ SV2 ) @ SV13 ) ) )
= $true )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[61]) ).
thf(67,plain,
! [SV8: mworld] :
( ( ( ~ ( entry_box @ sK2_SX0 @ SV8 ) )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[62]) ).
thf(68,plain,
! [SV8: mworld] :
( ( ( ~ ( number @ sK2_SX0 @ one @ SV8 ) )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[62]) ).
thf(69,plain,
! [SV11: $i,SV6: $i] :
( ( ! [SY262: $i] :
~ ~ ! [SY263: $i] :
~ ~ ( ~ ! [SY264: mworld] :
( ~ ( mrel @ sK1_SY86 @ SY264 )
| ~ ( ~ ( userid @ u @ SV6 @ SY264 )
| ~ ~ ( ~ ( entry_box @ SV11 @ SY264 )
| ~ ( number @ SV11 @ one @ SY264 ) ) ) )
| ~ ! [SY265: mworld] :
( ~ ( mrel @ sK1_SY86 @ SY265 )
| ! [SY266: $i] :
( ~ ( do @ SY263 @ SY262 @ SY266 @ SY265 )
| ( in @ SV6 @ SV11 @ SY266 @ SY265 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[63]) ).
thf(70,plain,
! [SV7: mworld,SV5: mworld,SV3: mworld] :
( ( ( mrel @ SV3 @ SV5 )
= $false )
| ( ( ~ ( mrel @ SV5 @ SV7 ) )
= $true )
| ( ( mrel @ SV3 @ SV7 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[64]) ).
thf(71,plain,
! [SV9: $i,SV12: $i,SV4: mworld,SV10: $i] :
( ( ( ~ ( ~ ( string @ SV10 @ SV4 )
| ~ ( entry_box @ SV12 @ SV4 ) ) )
= $false )
| ( ( ~ ! [SY267: $i] :
~ ! [SY268: mworld] :
( ~ ( mrel @ SV4 @ SY268 )
| ! [SY269: $i] :
( ~ ( do @ SV9 @ SY267 @ SY269 @ SY268 )
| ( in @ SV10 @ SV12 @ SY269 @ SY268 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[65]) ).
thf(72,plain,
! [SV13: mworld,SV2: mworld] :
( ( ( mrel @ SV2 @ SV13 )
= $false )
| ( ( ~ ( ~ ( userid @ u @ ( sK3_SY234 @ SV2 ) @ SV13 )
| ~ ( string @ ( sK3_SY234 @ SV2 ) @ SV13 ) ) )
= $true )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[66]) ).
thf(73,plain,
! [SV8: mworld] :
( ( ( entry_box @ sK2_SX0 @ SV8 )
= $true )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[67]) ).
thf(74,plain,
! [SV8: mworld] :
( ( ( number @ sK2_SX0 @ one @ SV8 )
= $true )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[68]) ).
thf(75,plain,
! [SV14: $i,SV11: $i,SV6: $i] :
( ( ~ ~ ! [SY270: $i] :
~ ~ ( ~ ! [SY264: mworld] :
( ~ ( mrel @ sK1_SY86 @ SY264 )
| ~ ( ~ ( userid @ u @ SV6 @ SY264 )
| ~ ~ ( ~ ( entry_box @ SV11 @ SY264 )
| ~ ( number @ SV11 @ one @ SY264 ) ) ) )
| ~ ! [SY272: mworld] :
( ~ ( mrel @ sK1_SY86 @ SY272 )
| ! [SY273: $i] :
( ~ ( do @ SY270 @ SV14 @ SY273 @ SY272 )
| ( in @ SV6 @ SV11 @ SY273 @ SY272 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[69]) ).
thf(76,plain,
! [SV3: mworld,SV7: mworld,SV5: mworld] :
( ( ( mrel @ SV5 @ SV7 )
= $false )
| ( ( mrel @ SV3 @ SV5 )
= $false )
| ( ( mrel @ SV3 @ SV7 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[70]) ).
thf(77,plain,
! [SV9: $i,SV12: $i,SV4: mworld,SV10: $i] :
( ( ( ~ ( string @ SV10 @ SV4 )
| ~ ( entry_box @ SV12 @ SV4 ) )
= $true )
| ( ( ~ ! [SY267: $i] :
~ ! [SY268: mworld] :
( ~ ( mrel @ SV4 @ SY268 )
| ! [SY269: $i] :
( ~ ( do @ SV9 @ SY267 @ SY269 @ SY268 )
| ( in @ SV10 @ SV12 @ SY269 @ SY268 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[71]) ).
thf(78,plain,
! [SV13: mworld,SV2: mworld] :
( ( ( ~ ( userid @ u @ ( sK3_SY234 @ SV2 ) @ SV13 )
| ~ ( string @ ( sK3_SY234 @ SV2 ) @ SV13 ) )
= $false )
| ( ( mrel @ SV2 @ SV13 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[72]) ).
thf(79,plain,
! [SV14: $i,SV11: $i,SV6: $i] :
( ( ~ ! [SY270: $i] :
~ ~ ( ~ ! [SY264: mworld] :
( ~ ( mrel @ sK1_SY86 @ SY264 )
| ~ ( ~ ( userid @ u @ SV6 @ SY264 )
| ~ ~ ( ~ ( entry_box @ SV11 @ SY264 )
| ~ ( number @ SV11 @ one @ SY264 ) ) ) )
| ~ ! [SY272: mworld] :
( ~ ( mrel @ sK1_SY86 @ SY272 )
| ! [SY273: $i] :
( ~ ( do @ SY270 @ SV14 @ SY273 @ SY272 )
| ( in @ SV6 @ SV11 @ SY273 @ SY272 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[75]) ).
thf(80,plain,
! [SV9: $i,SV12: $i,SV4: mworld,SV10: $i] :
( ( ( ~ ( string @ SV10 @ SV4 ) )
= $true )
| ( ( ~ ( entry_box @ SV12 @ SV4 ) )
= $true )
| ( ( ~ ! [SY267: $i] :
~ ! [SY268: mworld] :
( ~ ( mrel @ SV4 @ SY268 )
| ! [SY269: $i] :
( ~ ( do @ SV9 @ SY267 @ SY269 @ SY268 )
| ( in @ SV10 @ SV12 @ SY269 @ SY268 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[77]) ).
thf(81,plain,
! [SV13: mworld,SV2: mworld] :
( ( ( ~ ( userid @ u @ ( sK3_SY234 @ SV2 ) @ SV13 ) )
= $false )
| ( ( mrel @ SV2 @ SV13 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[78]) ).
thf(82,plain,
! [SV13: mworld,SV2: mworld] :
( ( ( ~ ( string @ ( sK3_SY234 @ SV2 ) @ SV13 ) )
= $false )
| ( ( mrel @ SV2 @ SV13 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[78]) ).
thf(83,plain,
! [SV14: $i,SV11: $i,SV6: $i] :
( ( ! [SY270: $i] :
~ ~ ( ~ ! [SY264: mworld] :
( ~ ( mrel @ sK1_SY86 @ SY264 )
| ~ ( ~ ( userid @ u @ SV6 @ SY264 )
| ~ ~ ( ~ ( entry_box @ SV11 @ SY264 )
| ~ ( number @ SV11 @ one @ SY264 ) ) ) )
| ~ ! [SY272: mworld] :
( ~ ( mrel @ sK1_SY86 @ SY272 )
| ! [SY273: $i] :
( ~ ( do @ SY270 @ SV14 @ SY273 @ SY272 )
| ( in @ SV6 @ SV11 @ SY273 @ SY272 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[79]) ).
thf(84,plain,
! [SV9: $i,SV12: $i,SV4: mworld,SV10: $i] :
( ( ( string @ SV10 @ SV4 )
= $false )
| ( ( ~ ( entry_box @ SV12 @ SV4 ) )
= $true )
| ( ( ~ ! [SY267: $i] :
~ ! [SY268: mworld] :
( ~ ( mrel @ SV4 @ SY268 )
| ! [SY269: $i] :
( ~ ( do @ SV9 @ SY267 @ SY269 @ SY268 )
| ( in @ SV10 @ SV12 @ SY269 @ SY268 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[80]) ).
thf(85,plain,
! [SV13: mworld,SV2: mworld] :
( ( ( userid @ u @ ( sK3_SY234 @ SV2 ) @ SV13 )
= $true )
| ( ( mrel @ SV2 @ SV13 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[81]) ).
thf(86,plain,
! [SV13: mworld,SV2: mworld] :
( ( ( string @ ( sK3_SY234 @ SV2 ) @ SV13 )
= $true )
| ( ( mrel @ SV2 @ SV13 )
= $false )
| ( ( mrel @ mactual @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[82]) ).
thf(87,plain,
! [SV14: $i,SV15: $i,SV11: $i,SV6: $i] :
( ( ~ ~ ( ~ ! [SY264: mworld] :
( ~ ( mrel @ sK1_SY86 @ SY264 )
| ~ ( ~ ( userid @ u @ SV6 @ SY264 )
| ~ ~ ( ~ ( entry_box @ SV11 @ SY264 )
| ~ ( number @ SV11 @ one @ SY264 ) ) ) )
| ~ ! [SY275: mworld] :
( ~ ( mrel @ sK1_SY86 @ SY275 )
| ! [SY276: $i] :
( ~ ( do @ SV15 @ SV14 @ SY276 @ SY275 )
| ( in @ SV6 @ SV11 @ SY276 @ SY275 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[83]) ).
thf(88,plain,
! [SV9: $i,SV10: $i,SV4: mworld,SV12: $i] :
( ( ( entry_box @ SV12 @ SV4 )
= $false )
| ( ( string @ SV10 @ SV4 )
= $false )
| ( ( ~ ! [SY267: $i] :
~ ! [SY268: mworld] :
( ~ ( mrel @ SV4 @ SY268 )
| ! [SY269: $i] :
( ~ ( do @ SV9 @ SY267 @ SY269 @ SY268 )
| ( in @ SV10 @ SV12 @ SY269 @ SY268 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[84]) ).
thf(89,plain,
! [SV14: $i,SV15: $i,SV11: $i,SV6: $i] :
( ( ~ ( ~ ! [SY264: mworld] :
( ~ ( mrel @ sK1_SY86 @ SY264 )
| ~ ( ~ ( userid @ u @ SV6 @ SY264 )
| ~ ~ ( ~ ( entry_box @ SV11 @ SY264 )
| ~ ( number @ SV11 @ one @ SY264 ) ) ) )
| ~ ! [SY275: mworld] :
( ~ ( mrel @ sK1_SY86 @ SY275 )
| ! [SY276: $i] :
( ~ ( do @ SV15 @ SV14 @ SY276 @ SY275 )
| ( in @ SV6 @ SV11 @ SY276 @ SY275 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[87]) ).
thf(90,plain,
! [SV12: $i,SV10: $i,SV9: $i,SV4: mworld] :
( ( ( ! [SY267: $i] :
~ ! [SY268: mworld] :
( ~ ( mrel @ SV4 @ SY268 )
| ! [SY269: $i] :
( ~ ( do @ SV9 @ SY267 @ SY269 @ SY268 )
| ( in @ SV10 @ SV12 @ SY269 @ SY268 ) ) ) )
= $false )
| ( ( string @ SV10 @ SV4 )
= $false )
| ( ( entry_box @ SV12 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[88]) ).
thf(91,plain,
! [SV14: $i,SV15: $i,SV11: $i,SV6: $i] :
( ( ~ ! [SY264: mworld] :
( ~ ( mrel @ sK1_SY86 @ SY264 )
| ~ ( ~ ( userid @ u @ SV6 @ SY264 )
| ~ ~ ( ~ ( entry_box @ SV11 @ SY264 )
| ~ ( number @ SV11 @ one @ SY264 ) ) ) )
| ~ ! [SY275: mworld] :
( ~ ( mrel @ sK1_SY86 @ SY275 )
| ! [SY276: $i] :
( ~ ( do @ SV15 @ SV14 @ SY276 @ SY275 )
| ( in @ SV6 @ SV11 @ SY276 @ SY275 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[89]) ).
thf(92,plain,
! [SV10: $i,SV12: $i,SV9: $i,SV4: mworld] :
( ( ( ~ ! [SY277: mworld] :
( ~ ( mrel @ SV4 @ SY277 )
| ! [SY278: $i] :
( ~ ( do @ SV9 @ ( sK4_SY267 @ SV12 @ SV10 @ SV9 @ SV4 ) @ SY278 @ SY277 )
| ( in @ SV10 @ SV12 @ SY278 @ SY277 ) ) ) )
= $false )
| ( ( string @ SV10 @ SV4 )
= $false )
| ( ( entry_box @ SV12 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[90]) ).
thf(93,plain,
! [SV14: $i,SV15: $i,SV11: $i,SV6: $i] :
( ( ( ~ ! [SY264: mworld] :
( ~ ( mrel @ sK1_SY86 @ SY264 )
| ~ ( ~ ( userid @ u @ SV6 @ SY264 )
| ~ ~ ( ~ ( entry_box @ SV11 @ SY264 )
| ~ ( number @ SV11 @ one @ SY264 ) ) ) ) )
= $true )
| ( ( ~ ! [SY275: mworld] :
( ~ ( mrel @ sK1_SY86 @ SY275 )
| ! [SY276: $i] :
( ~ ( do @ SV15 @ SV14 @ SY276 @ SY275 )
| ( in @ SV6 @ SV11 @ SY276 @ SY275 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[91]) ).
thf(94,plain,
! [SV10: $i,SV12: $i,SV9: $i,SV4: mworld] :
( ( ( ! [SY277: mworld] :
( ~ ( mrel @ SV4 @ SY277 )
| ! [SY278: $i] :
( ~ ( do @ SV9 @ ( sK4_SY267 @ SV12 @ SV10 @ SV9 @ SV4 ) @ SY278 @ SY277 )
| ( in @ SV10 @ SV12 @ SY278 @ SY277 ) ) ) )
= $true )
| ( ( string @ SV10 @ SV4 )
= $false )
| ( ( entry_box @ SV12 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[92]) ).
thf(95,plain,
! [SV14: $i,SV15: $i,SV11: $i,SV6: $i] :
( ( ( ! [SY264: mworld] :
( ~ ( mrel @ sK1_SY86 @ SY264 )
| ~ ( ~ ( userid @ u @ SV6 @ SY264 )
| ~ ~ ( ~ ( entry_box @ SV11 @ SY264 )
| ~ ( number @ SV11 @ one @ SY264 ) ) ) ) )
= $false )
| ( ( ~ ! [SY275: mworld] :
( ~ ( mrel @ sK1_SY86 @ SY275 )
| ! [SY276: $i] :
( ~ ( do @ SV15 @ SV14 @ SY276 @ SY275 )
| ( in @ SV6 @ SV11 @ SY276 @ SY275 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[93]) ).
thf(96,plain,
! [SV10: $i,SV12: $i,SV9: $i,SV16: mworld,SV4: mworld] :
( ( ( ~ ( mrel @ SV4 @ SV16 )
| ! [SY279: $i] :
( ~ ( do @ SV9 @ ( sK4_SY267 @ SV12 @ SV10 @ SV9 @ SV4 ) @ SY279 @ SV16 )
| ( in @ SV10 @ SV12 @ SY279 @ SV16 ) ) )
= $true )
| ( ( string @ SV10 @ SV4 )
= $false )
| ( ( entry_box @ SV12 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[94]) ).
thf(97,plain,
! [SV6: $i,SV11: $i,SV15: $i,SV14: $i] :
( ( ( ~ ( mrel @ sK1_SY86 @ ( sK5_SY264 @ SV14 @ SV15 @ SV11 @ SV6 ) )
| ~ ( ~ ( userid @ u @ SV6 @ ( sK5_SY264 @ SV14 @ SV15 @ SV11 @ SV6 ) )
| ~ ~ ( ~ ( entry_box @ SV11 @ ( sK5_SY264 @ SV14 @ SV15 @ SV11 @ SV6 ) )
| ~ ( number @ SV11 @ one @ ( sK5_SY264 @ SV14 @ SV15 @ SV11 @ SV6 ) ) ) ) )
= $false )
| ( ( ~ ! [SY275: mworld] :
( ~ ( mrel @ sK1_SY86 @ SY275 )
| ! [SY276: $i] :
( ~ ( do @ SV15 @ SV14 @ SY276 @ SY275 )
| ( in @ SV6 @ SV11 @ SY276 @ SY275 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[95]) ).
thf(98,plain,
! [SV10: $i,SV12: $i,SV9: $i,SV16: mworld,SV4: mworld] :
( ( ( ~ ( mrel @ SV4 @ SV16 ) )
= $true )
| ( ( ! [SY279: $i] :
( ~ ( do @ SV9 @ ( sK4_SY267 @ SV12 @ SV10 @ SV9 @ SV4 ) @ SY279 @ SV16 )
| ( in @ SV10 @ SV12 @ SY279 @ SV16 ) ) )
= $true )
| ( ( string @ SV10 @ SV4 )
= $false )
| ( ( entry_box @ SV12 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[96]) ).
thf(99,plain,
! [SV6: $i,SV11: $i,SV15: $i,SV14: $i] :
( ( ( ~ ( mrel @ sK1_SY86 @ ( sK5_SY264 @ SV14 @ SV15 @ SV11 @ SV6 ) ) )
= $false )
| ( ( ~ ! [SY275: mworld] :
( ~ ( mrel @ sK1_SY86 @ SY275 )
| ! [SY276: $i] :
( ~ ( do @ SV15 @ SV14 @ SY276 @ SY275 )
| ( in @ SV6 @ SV11 @ SY276 @ SY275 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[97]) ).
thf(100,plain,
! [SV11: $i,SV15: $i,SV14: $i,SV6: $i] :
( ( ( ~ ( ~ ( userid @ u @ SV6 @ ( sK5_SY264 @ SV14 @ SV15 @ SV11 @ SV6 ) )
| ~ ~ ( ~ ( entry_box @ SV11 @ ( sK5_SY264 @ SV14 @ SV15 @ SV11 @ SV6 ) )
| ~ ( number @ SV11 @ one @ ( sK5_SY264 @ SV14 @ SV15 @ SV11 @ SV6 ) ) ) ) )
= $false )
| ( ( ~ ! [SY275: mworld] :
( ~ ( mrel @ sK1_SY86 @ SY275 )
| ! [SY276: $i] :
( ~ ( do @ SV15 @ SV14 @ SY276 @ SY275 )
| ( in @ SV6 @ SV11 @ SY276 @ SY275 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[97]) ).
thf(101,plain,
! [SV10: $i,SV12: $i,SV9: $i,SV16: mworld,SV4: mworld] :
( ( ( mrel @ SV4 @ SV16 )
= $false )
| ( ( ! [SY279: $i] :
( ~ ( do @ SV9 @ ( sK4_SY267 @ SV12 @ SV10 @ SV9 @ SV4 ) @ SY279 @ SV16 )
| ( in @ SV10 @ SV12 @ SY279 @ SV16 ) ) )
= $true )
| ( ( string @ SV10 @ SV4 )
= $false )
| ( ( entry_box @ SV12 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[98]) ).
thf(102,plain,
! [SV6: $i,SV11: $i,SV15: $i,SV14: $i] :
( ( ( mrel @ sK1_SY86 @ ( sK5_SY264 @ SV14 @ SV15 @ SV11 @ SV6 ) )
= $true )
| ( ( ~ ! [SY275: mworld] :
( ~ ( mrel @ sK1_SY86 @ SY275 )
| ! [SY276: $i] :
( ~ ( do @ SV15 @ SV14 @ SY276 @ SY275 )
| ( in @ SV6 @ SV11 @ SY276 @ SY275 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[99]) ).
thf(103,plain,
! [SV11: $i,SV15: $i,SV14: $i,SV6: $i] :
( ( ( ~ ( userid @ u @ SV6 @ ( sK5_SY264 @ SV14 @ SV15 @ SV11 @ SV6 ) )
| ~ ~ ( ~ ( entry_box @ SV11 @ ( sK5_SY264 @ SV14 @ SV15 @ SV11 @ SV6 ) )
| ~ ( number @ SV11 @ one @ ( sK5_SY264 @ SV14 @ SV15 @ SV11 @ SV6 ) ) ) )
= $true )
| ( ( ~ ! [SY275: mworld] :
( ~ ( mrel @ sK1_SY86 @ SY275 )
| ! [SY276: $i] :
( ~ ( do @ SV15 @ SV14 @ SY276 @ SY275 )
| ( in @ SV6 @ SV11 @ SY276 @ SY275 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[100]) ).
thf(104,plain,
! [SV16: mworld,SV17: $i,SV4: mworld,SV10: $i,SV12: $i,SV9: $i] :
( ( ( ~ ( do @ SV9 @ ( sK4_SY267 @ SV12 @ SV10 @ SV9 @ SV4 ) @ SV17 @ SV16 )
| ( in @ SV10 @ SV12 @ SV17 @ SV16 ) )
= $true )
| ( ( mrel @ SV4 @ SV16 )
= $false )
| ( ( string @ SV10 @ SV4 )
= $false )
| ( ( entry_box @ SV12 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[101]) ).
thf(105,plain,
! [SV11: $i,SV6: $i,SV14: $i,SV15: $i] :
( ( ( ! [SY275: mworld] :
( ~ ( mrel @ sK1_SY86 @ SY275 )
| ! [SY276: $i] :
( ~ ( do @ SV15 @ SV14 @ SY276 @ SY275 )
| ( in @ SV6 @ SV11 @ SY276 @ SY275 ) ) ) )
= $false )
| ( ( mrel @ sK1_SY86 @ ( sK5_SY264 @ SV14 @ SV15 @ SV11 @ SV6 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[102]) ).
thf(106,plain,
! [SV11: $i,SV15: $i,SV14: $i,SV6: $i] :
( ( ( ~ ( userid @ u @ SV6 @ ( sK5_SY264 @ SV14 @ SV15 @ SV11 @ SV6 ) ) )
= $true )
| ( ( ~ ~ ( ~ ( entry_box @ SV11 @ ( sK5_SY264 @ SV14 @ SV15 @ SV11 @ SV6 ) )
| ~ ( number @ SV11 @ one @ ( sK5_SY264 @ SV14 @ SV15 @ SV11 @ SV6 ) ) ) )
= $true )
| ( ( ~ ! [SY275: mworld] :
( ~ ( mrel @ sK1_SY86 @ SY275 )
| ! [SY276: $i] :
( ~ ( do @ SV15 @ SV14 @ SY276 @ SY275 )
| ( in @ SV6 @ SV11 @ SY276 @ SY275 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[103]) ).
thf(107,plain,
! [SV16: mworld,SV17: $i,SV4: mworld,SV10: $i,SV12: $i,SV9: $i] :
( ( ( ~ ( do @ SV9 @ ( sK4_SY267 @ SV12 @ SV10 @ SV9 @ SV4 ) @ SV17 @ SV16 ) )
= $true )
| ( ( in @ SV10 @ SV12 @ SV17 @ SV16 )
= $true )
| ( ( mrel @ SV4 @ SV16 )
= $false )
| ( ( string @ SV10 @ SV4 )
= $false )
| ( ( entry_box @ SV12 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[104]) ).
thf(108,plain,
! [SV15: $i,SV14: $i,SV6: $i,SV11: $i] :
( ( ( ~ ( mrel @ sK1_SY86 @ ( sK6_SY275 @ SV11 @ SV6 @ SV14 @ SV15 ) )
| ! [SY280: $i] :
( ~ ( do @ SV15 @ SV14 @ SY280 @ ( sK6_SY275 @ SV11 @ SV6 @ SV14 @ SV15 ) )
| ( in @ SV6 @ SV11 @ SY280 @ ( sK6_SY275 @ SV11 @ SV6 @ SV14 @ SV15 ) ) ) )
= $false )
| ( ( mrel @ sK1_SY86 @ ( sK5_SY264 @ SV14 @ SV15 @ SV11 @ SV6 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[105]) ).
thf(109,plain,
! [SV11: $i,SV15: $i,SV14: $i,SV6: $i] :
( ( ( userid @ u @ SV6 @ ( sK5_SY264 @ SV14 @ SV15 @ SV11 @ SV6 ) )
= $false )
| ( ( ~ ~ ( ~ ( entry_box @ SV11 @ ( sK5_SY264 @ SV14 @ SV15 @ SV11 @ SV6 ) )
| ~ ( number @ SV11 @ one @ ( sK5_SY264 @ SV14 @ SV15 @ SV11 @ SV6 ) ) ) )
= $true )
| ( ( ~ ! [SY275: mworld] :
( ~ ( mrel @ sK1_SY86 @ SY275 )
| ! [SY276: $i] :
( ~ ( do @ SV15 @ SV14 @ SY276 @ SY275 )
| ( in @ SV6 @ SV11 @ SY276 @ SY275 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[106]) ).
thf(110,plain,
! [SV16: mworld,SV17: $i,SV4: mworld,SV10: $i,SV12: $i,SV9: $i] :
( ( ( do @ SV9 @ ( sK4_SY267 @ SV12 @ SV10 @ SV9 @ SV4 ) @ SV17 @ SV16 )
= $false )
| ( ( in @ SV10 @ SV12 @ SV17 @ SV16 )
= $true )
| ( ( mrel @ SV4 @ SV16 )
= $false )
| ( ( string @ SV10 @ SV4 )
= $false )
| ( ( entry_box @ SV12 @ SV4 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[107]) ).
thf(111,plain,
! [SV15: $i,SV14: $i,SV6: $i,SV11: $i] :
( ( ( ~ ( mrel @ sK1_SY86 @ ( sK6_SY275 @ SV11 @ SV6 @ SV14 @ SV15 ) ) )
= $false )
| ( ( mrel @ sK1_SY86 @ ( sK5_SY264 @ SV14 @ SV15 @ SV11 @ SV6 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[108]) ).
thf(112,plain,
! [SV6: $i,SV11: $i,SV14: $i,SV15: $i] :
( ( ( ! [SY280: $i] :
( ~ ( do @ SV15 @ SV14 @ SY280 @ ( sK6_SY275 @ SV11 @ SV6 @ SV14 @ SV15 ) )
| ( in @ SV6 @ SV11 @ SY280 @ ( sK6_SY275 @ SV11 @ SV6 @ SV14 @ SV15 ) ) ) )
= $false )
| ( ( mrel @ sK1_SY86 @ ( sK5_SY264 @ SV14 @ SV15 @ SV11 @ SV6 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[108]) ).
thf(113,plain,
! [SV6: $i,SV15: $i,SV14: $i,SV11: $i] :
( ( ( ~ ( ~ ( entry_box @ SV11 @ ( sK5_SY264 @ SV14 @ SV15 @ SV11 @ SV6 ) )
| ~ ( number @ SV11 @ one @ ( sK5_SY264 @ SV14 @ SV15 @ SV11 @ SV6 ) ) ) )
= $false )
| ( ( userid @ u @ SV6 @ ( sK5_SY264 @ SV14 @ SV15 @ SV11 @ SV6 ) )
= $false )
| ( ( ~ ! [SY275: mworld] :
( ~ ( mrel @ sK1_SY86 @ SY275 )
| ! [SY276: $i] :
( ~ ( do @ SV15 @ SV14 @ SY276 @ SY275 )
| ( in @ SV6 @ SV11 @ SY276 @ SY275 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[109]) ).
thf(114,plain,
! [SV15: $i,SV14: $i,SV6: $i,SV11: $i] :
( ( ( mrel @ sK1_SY86 @ ( sK6_SY275 @ SV11 @ SV6 @ SV14 @ SV15 ) )
= $true )
| ( ( mrel @ sK1_SY86 @ ( sK5_SY264 @ SV14 @ SV15 @ SV11 @ SV6 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[111]) ).
thf(115,plain,
! [SV11: $i,SV6: $i,SV14: $i,SV15: $i] :
( ( ( ~ ( do @ SV15 @ SV14 @ ( sK7_SY280 @ SV6 @ SV11 @ SV14 @ SV15 ) @ ( sK6_SY275 @ SV11 @ SV6 @ SV14 @ SV15 ) )
| ( in @ SV6 @ SV11 @ ( sK7_SY280 @ SV6 @ SV11 @ SV14 @ SV15 ) @ ( sK6_SY275 @ SV11 @ SV6 @ SV14 @ SV15 ) ) )
= $false )
| ( ( mrel @ sK1_SY86 @ ( sK5_SY264 @ SV14 @ SV15 @ SV11 @ SV6 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[112]) ).
thf(116,plain,
! [SV6: $i,SV15: $i,SV14: $i,SV11: $i] :
( ( ( ~ ( entry_box @ SV11 @ ( sK5_SY264 @ SV14 @ SV15 @ SV11 @ SV6 ) )
| ~ ( number @ SV11 @ one @ ( sK5_SY264 @ SV14 @ SV15 @ SV11 @ SV6 ) ) )
= $true )
| ( ( userid @ u @ SV6 @ ( sK5_SY264 @ SV14 @ SV15 @ SV11 @ SV6 ) )
= $false )
| ( ( ~ ! [SY275: mworld] :
( ~ ( mrel @ sK1_SY86 @ SY275 )
| ! [SY276: $i] :
( ~ ( do @ SV15 @ SV14 @ SY276 @ SY275 )
| ( in @ SV6 @ SV11 @ SY276 @ SY275 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[113]) ).
thf(117,plain,
! [SV11: $i,SV6: $i,SV14: $i,SV15: $i] :
( ( ( ~ ( do @ SV15 @ SV14 @ ( sK7_SY280 @ SV6 @ SV11 @ SV14 @ SV15 ) @ ( sK6_SY275 @ SV11 @ SV6 @ SV14 @ SV15 ) ) )
= $false )
| ( ( mrel @ sK1_SY86 @ ( sK5_SY264 @ SV14 @ SV15 @ SV11 @ SV6 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[115]) ).
thf(118,plain,
! [SV15: $i,SV14: $i,SV11: $i,SV6: $i] :
( ( ( in @ SV6 @ SV11 @ ( sK7_SY280 @ SV6 @ SV11 @ SV14 @ SV15 ) @ ( sK6_SY275 @ SV11 @ SV6 @ SV14 @ SV15 ) )
= $false )
| ( ( mrel @ sK1_SY86 @ ( sK5_SY264 @ SV14 @ SV15 @ SV11 @ SV6 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[115]) ).
thf(119,plain,
! [SV6: $i,SV15: $i,SV14: $i,SV11: $i] :
( ( ( ~ ( entry_box @ SV11 @ ( sK5_SY264 @ SV14 @ SV15 @ SV11 @ SV6 ) ) )
= $true )
| ( ( ~ ( number @ SV11 @ one @ ( sK5_SY264 @ SV14 @ SV15 @ SV11 @ SV6 ) ) )
= $true )
| ( ( userid @ u @ SV6 @ ( sK5_SY264 @ SV14 @ SV15 @ SV11 @ SV6 ) )
= $false )
| ( ( ~ ! [SY275: mworld] :
( ~ ( mrel @ sK1_SY86 @ SY275 )
| ! [SY276: $i] :
( ~ ( do @ SV15 @ SV14 @ SY276 @ SY275 )
| ( in @ SV6 @ SV11 @ SY276 @ SY275 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[116]) ).
thf(120,plain,
! [SV11: $i,SV6: $i,SV14: $i,SV15: $i] :
( ( ( do @ SV15 @ SV14 @ ( sK7_SY280 @ SV6 @ SV11 @ SV14 @ SV15 ) @ ( sK6_SY275 @ SV11 @ SV6 @ SV14 @ SV15 ) )
= $true )
| ( ( mrel @ sK1_SY86 @ ( sK5_SY264 @ SV14 @ SV15 @ SV11 @ SV6 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[117]) ).
thf(121,plain,
! [SV6: $i,SV15: $i,SV14: $i,SV11: $i] :
( ( ( entry_box @ SV11 @ ( sK5_SY264 @ SV14 @ SV15 @ SV11 @ SV6 ) )
= $false )
| ( ( ~ ( number @ SV11 @ one @ ( sK5_SY264 @ SV14 @ SV15 @ SV11 @ SV6 ) ) )
= $true )
| ( ( userid @ u @ SV6 @ ( sK5_SY264 @ SV14 @ SV15 @ SV11 @ SV6 ) )
= $false )
| ( ( ~ ! [SY275: mworld] :
( ~ ( mrel @ sK1_SY86 @ SY275 )
| ! [SY276: $i] :
( ~ ( do @ SV15 @ SV14 @ SY276 @ SY275 )
| ( in @ SV6 @ SV11 @ SY276 @ SY275 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[119]) ).
thf(122,plain,
! [SV6: $i,SV15: $i,SV14: $i,SV11: $i] :
( ( ( number @ SV11 @ one @ ( sK5_SY264 @ SV14 @ SV15 @ SV11 @ SV6 ) )
= $false )
| ( ( entry_box @ SV11 @ ( sK5_SY264 @ SV14 @ SV15 @ SV11 @ SV6 ) )
= $false )
| ( ( userid @ u @ SV6 @ ( sK5_SY264 @ SV14 @ SV15 @ SV11 @ SV6 ) )
= $false )
| ( ( ~ ! [SY275: mworld] :
( ~ ( mrel @ sK1_SY86 @ SY275 )
| ! [SY276: $i] :
( ~ ( do @ SV15 @ SV14 @ SY276 @ SY275 )
| ( in @ SV6 @ SV11 @ SY276 @ SY275 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[121]) ).
thf(123,plain,
! [SV11: $i,SV6: $i,SV14: $i,SV15: $i] :
( ( ( ! [SY275: mworld] :
( ~ ( mrel @ sK1_SY86 @ SY275 )
| ! [SY276: $i] :
( ~ ( do @ SV15 @ SV14 @ SY276 @ SY275 )
| ( in @ SV6 @ SV11 @ SY276 @ SY275 ) ) ) )
= $false )
| ( ( userid @ u @ SV6 @ ( sK5_SY264 @ SV14 @ SV15 @ SV11 @ SV6 ) )
= $false )
| ( ( entry_box @ SV11 @ ( sK5_SY264 @ SV14 @ SV15 @ SV11 @ SV6 ) )
= $false )
| ( ( number @ SV11 @ one @ ( sK5_SY264 @ SV14 @ SV15 @ SV11 @ SV6 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[122]) ).
thf(124,plain,
! [SV15: $i,SV14: $i,SV6: $i,SV11: $i] :
( ( ( ~ ( mrel @ sK1_SY86 @ ( sK8_SY275 @ SV11 @ SV6 @ SV14 @ SV15 ) )
| ! [SY281: $i] :
( ~ ( do @ SV15 @ SV14 @ SY281 @ ( sK8_SY275 @ SV11 @ SV6 @ SV14 @ SV15 ) )
| ( in @ SV6 @ SV11 @ SY281 @ ( sK8_SY275 @ SV11 @ SV6 @ SV14 @ SV15 ) ) ) )
= $false )
| ( ( userid @ u @ SV6 @ ( sK5_SY264 @ SV14 @ SV15 @ SV11 @ SV6 ) )
= $false )
| ( ( entry_box @ SV11 @ ( sK5_SY264 @ SV14 @ SV15 @ SV11 @ SV6 ) )
= $false )
| ( ( number @ SV11 @ one @ ( sK5_SY264 @ SV14 @ SV15 @ SV11 @ SV6 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[123]) ).
thf(125,plain,
! [SV15: $i,SV14: $i,SV6: $i,SV11: $i] :
( ( ( ~ ( mrel @ sK1_SY86 @ ( sK8_SY275 @ SV11 @ SV6 @ SV14 @ SV15 ) ) )
= $false )
| ( ( userid @ u @ SV6 @ ( sK5_SY264 @ SV14 @ SV15 @ SV11 @ SV6 ) )
= $false )
| ( ( entry_box @ SV11 @ ( sK5_SY264 @ SV14 @ SV15 @ SV11 @ SV6 ) )
= $false )
| ( ( number @ SV11 @ one @ ( sK5_SY264 @ SV14 @ SV15 @ SV11 @ SV6 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[124]) ).
thf(126,plain,
! [SV6: $i,SV11: $i,SV14: $i,SV15: $i] :
( ( ( ! [SY281: $i] :
( ~ ( do @ SV15 @ SV14 @ SY281 @ ( sK8_SY275 @ SV11 @ SV6 @ SV14 @ SV15 ) )
| ( in @ SV6 @ SV11 @ SY281 @ ( sK8_SY275 @ SV11 @ SV6 @ SV14 @ SV15 ) ) ) )
= $false )
| ( ( userid @ u @ SV6 @ ( sK5_SY264 @ SV14 @ SV15 @ SV11 @ SV6 ) )
= $false )
| ( ( entry_box @ SV11 @ ( sK5_SY264 @ SV14 @ SV15 @ SV11 @ SV6 ) )
= $false )
| ( ( number @ SV11 @ one @ ( sK5_SY264 @ SV14 @ SV15 @ SV11 @ SV6 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[124]) ).
thf(127,plain,
! [SV15: $i,SV14: $i,SV6: $i,SV11: $i] :
( ( ( mrel @ sK1_SY86 @ ( sK8_SY275 @ SV11 @ SV6 @ SV14 @ SV15 ) )
= $true )
| ( ( userid @ u @ SV6 @ ( sK5_SY264 @ SV14 @ SV15 @ SV11 @ SV6 ) )
= $false )
| ( ( entry_box @ SV11 @ ( sK5_SY264 @ SV14 @ SV15 @ SV11 @ SV6 ) )
= $false )
| ( ( number @ SV11 @ one @ ( sK5_SY264 @ SV14 @ SV15 @ SV11 @ SV6 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[125]) ).
thf(128,plain,
! [SV11: $i,SV6: $i,SV14: $i,SV15: $i] :
( ( ( ~ ( do @ SV15 @ SV14 @ ( sK9_SY281 @ SV6 @ SV11 @ SV14 @ SV15 ) @ ( sK8_SY275 @ SV11 @ SV6 @ SV14 @ SV15 ) )
| ( in @ SV6 @ SV11 @ ( sK9_SY281 @ SV6 @ SV11 @ SV14 @ SV15 ) @ ( sK8_SY275 @ SV11 @ SV6 @ SV14 @ SV15 ) ) )
= $false )
| ( ( userid @ u @ SV6 @ ( sK5_SY264 @ SV14 @ SV15 @ SV11 @ SV6 ) )
= $false )
| ( ( entry_box @ SV11 @ ( sK5_SY264 @ SV14 @ SV15 @ SV11 @ SV6 ) )
= $false )
| ( ( number @ SV11 @ one @ ( sK5_SY264 @ SV14 @ SV15 @ SV11 @ SV6 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[126]) ).
thf(129,plain,
! [SV11: $i,SV6: $i,SV14: $i,SV15: $i] :
( ( ( ~ ( do @ SV15 @ SV14 @ ( sK9_SY281 @ SV6 @ SV11 @ SV14 @ SV15 ) @ ( sK8_SY275 @ SV11 @ SV6 @ SV14 @ SV15 ) ) )
= $false )
| ( ( userid @ u @ SV6 @ ( sK5_SY264 @ SV14 @ SV15 @ SV11 @ SV6 ) )
= $false )
| ( ( entry_box @ SV11 @ ( sK5_SY264 @ SV14 @ SV15 @ SV11 @ SV6 ) )
= $false )
| ( ( number @ SV11 @ one @ ( sK5_SY264 @ SV14 @ SV15 @ SV11 @ SV6 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[128]) ).
thf(130,plain,
! [SV15: $i,SV14: $i,SV11: $i,SV6: $i] :
( ( ( in @ SV6 @ SV11 @ ( sK9_SY281 @ SV6 @ SV11 @ SV14 @ SV15 ) @ ( sK8_SY275 @ SV11 @ SV6 @ SV14 @ SV15 ) )
= $false )
| ( ( userid @ u @ SV6 @ ( sK5_SY264 @ SV14 @ SV15 @ SV11 @ SV6 ) )
= $false )
| ( ( entry_box @ SV11 @ ( sK5_SY264 @ SV14 @ SV15 @ SV11 @ SV6 ) )
= $false )
| ( ( number @ SV11 @ one @ ( sK5_SY264 @ SV14 @ SV15 @ SV11 @ SV6 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[128]) ).
thf(131,plain,
! [SV11: $i,SV6: $i,SV14: $i,SV15: $i] :
( ( ( do @ SV15 @ SV14 @ ( sK9_SY281 @ SV6 @ SV11 @ SV14 @ SV15 ) @ ( sK8_SY275 @ SV11 @ SV6 @ SV14 @ SV15 ) )
= $true )
| ( ( userid @ u @ SV6 @ ( sK5_SY264 @ SV14 @ SV15 @ SV11 @ SV6 ) )
= $false )
| ( ( entry_box @ SV11 @ ( sK5_SY264 @ SV14 @ SV15 @ SV11 @ SV6 ) )
= $false )
| ( ( number @ SV11 @ one @ ( sK5_SY264 @ SV14 @ SV15 @ SV11 @ SV6 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[129]) ).
thf(132,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[23,131,130,127,120,118,114,110,86,85,76,74,73,30]) ).
thf(133,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[132]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NLP266^4 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.18 % Computer : n003.cluster.edu
% 0.11/0.18 % Model : x86_64 x86_64
% 0.11/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.18 % Memory : 8046.5625MB
% 0.11/0.18 % OS : Linux 6.8.0-71-generic
% 0.11/0.18 % CPULimit : 300
% 0.11/0.18 % WCLimit : 300
% 0.11/0.18 % DateTime : Tue Oct 6 13:00:54 UTC 2026
% 0.11/0.18 % CPUTime :
% 0.11/0.18 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.68/0.33
% 0.68/0.33 No.of.Axioms: 5
% 0.68/0.33
% 0.68/0.33 Length.of.Defs: 1624
% 0.68/0.33
% 0.68/0.33 Contains.Choice.Funs: false
% 0.68/0.33 ........
% 0.68/0.33
% 0.68/0.33 ********************************
% 0.68/0.33 * All subproblems solved! *
% 0.68/0.33 ********************************
% 0.68/0.33 % SZS status Theorem for /export/starexec/sandbox2/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:false,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:132,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.68/0.33
% 0.68/0.33 %**** Beginning of derivation protocol ****
% 0.68/0.33 % SZS output start CNFRefutation
% See solution above
% 0.68/0.33
% 0.68/0.33 %**** End of derivation protocol ****
% 0.68/0.33 %**** no. of clauses in derivation: 133 ****
% 0.68/0.33 %**** clause counter: 132 ****
% 0.68/0.33
% 0.68/0.33 % SZS status Theorem for /export/starexec/sandbox2/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:false,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:132,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------