TSTP Solution File: NLP266^4 by LEO-II---1.7.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : NLP266^4 : TPTP v8.1.0. Released v8.1.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n029.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Mon Jul 18 03:05:32 EDT 2022
% Result : Theorem 0.45s 0.62s
% Output : CNFRefutation 0.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 40
% Number of leaves : 46
% Syntax : Number of formulae : 165 ( 54 unt; 30 typ; 10 def)
% Number of atoms : 1210 ( 276 equ; 0 cnn)
% Maximal formula atoms : 18 ( 8 avg)
% Number of connectives : 3108 ( 612 ~; 412 |; 3 &;2077 @)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 5 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 100 ( 100 >; 0 *; 0 +; 0 <<)
% Number of symbols : 32 ( 29 usr; 7 con; 0-4 aty)
% Number of variables : 576 ( 57 ^ 517 !; 2 ?; 576 :)
% 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_SX0,type,
sK1_SX0: $i ).
thf(tp_sK2_SX0,type,
sK2_SX0: mworld ).
thf(tp_sK3_SY8,type,
sK3_SY8: mworld > $i ).
thf(tp_sK4_SY35,type,
sK4_SY35: $i > $i > $i > mworld > $i ).
thf(tp_sK5_SY40,type,
sK5_SY40: $i > $i > $i > $i > mworld ).
thf(tp_sK6_SY50,type,
sK6_SY50: $i > $i > $i > $i > mworld ).
thf(tp_sK7_SY53,type,
sK7_SY53: $i > $i > $i > $i > $i ).
thf(tp_sK8_SY50,type,
sK8_SY50: $i > $i > $i > $i > mworld ).
thf(tp_sK9_SY54,type,
sK9_SY54: $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/sandbox/benchmark/theBenchmark.p',mand) ).
thf(mbox,definition,
( mbox
= ( ^ [Phi: mworld > $o,W: mworld] :
! [V: mworld] :
( ( mrel @ W @ V )
=> ( Phi @ V ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mbox) ).
thf(mdia,definition,
( mdia
= ( ^ [Phi: mworld > $o,W: mworld] :
? [V: mworld] :
( ( mrel @ W @ V )
& ( Phi @ V ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mdia) ).
thf(mequiv,definition,
( mequiv
= ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
( ( A @ W )
<=> ( B @ W ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mequiv) ).
thf(mexists_di,definition,
( mexists_di
= ( ^ [A: $i > mworld > $o,W: mworld] :
? [X: $i] : ( A @ X @ W ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mexists_di) ).
thf(mforall_di,definition,
( mforall_di
= ( ^ [A: $i > mworld > $o,W: mworld] :
! [X: $i] : ( A @ X @ W ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mforall_di) ).
thf(mimplies,definition,
( mimplies
= ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
( ( A @ W )
=> ( B @ W ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mimplies) ).
thf(mlocal,definition,
( mlocal
= ( ^ [Phi: mworld > $o] : ( Phi @ mactual ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mlocal) ).
thf(mnot,definition,
( mnot
= ( ^ [A: mworld > $o,W: mworld] :
~ ( A @ W ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mnot) ).
thf(mor,definition,
( mor
= ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
( ( A @ W )
| ( B @ W ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mor) ).
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/sandbox/benchmark/theBenchmark.p',ax3) ).
thf(2,axiom,
( mlocal
@ ( mexists_di
@ ^ [B: $i] : ( mbox @ ( mand @ ( entry_box @ B ) @ ( number @ B @ one ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
thf(3,axiom,
( mlocal
@ ( mbox
@ ( mexists_di
@ ^ [I: $i] : ( mbox @ ( mand @ ( userid @ u @ I ) @ ( string @ I ) ) ) ) ) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',mrel_transitive) ).
thf(5,axiom,
! [W: mworld] : ( mrel @ W @ W ),
file('/export/starexec/sandbox/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/sandbox/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,
( ( ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[7]) ).
thf(9,plain,
( ( ! [W: mworld,V: mworld,U: mworld] :
( ~ ( mrel @ W @ V )
| ~ ( mrel @ V @ U )
| ( mrel @ W @ U ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[4]) ).
thf(10,plain,
( ( ! [W: mworld] : ( mrel @ W @ W ) )
= $true ),
inference(copy,[status(thm)],[5]) ).
thf(11,plain,
( ( ! [W: mworld,V: mworld,U: mworld] :
( ~ ( mrel @ W @ V )
| ~ ( mrel @ V @ U )
| ( mrel @ W @ U ) ) )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(12,plain,
( ( mlocal
@ ( mbox
@ ( mexists_di
@ ^ [I: $i] : ( mbox @ ( mand @ ( userid @ u @ I ) @ ( string @ I ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[3]) ).
thf(13,plain,
( ( mlocal
@ ( mexists_di
@ ^ [B: $i] : ( mbox @ ( mand @ ( entry_box @ B ) @ ( number @ B @ one ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[2]) ).
thf(14,plain,
( ( 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 ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1]) ).
thf(15,plain,
( ( ~ ( 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 ) ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[8]) ).
thf(16,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)],[14,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(17,plain,
( ( ~ ! [SX0: $i] :
~ ! [SX1: mworld] :
( ~ ( mrel @ mactual @ SX1 )
| ~ ( ~ ( entry_box @ SX0 @ SX1 )
| ~ ( number @ SX0 @ one @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(18,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)],[12,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(19,plain,
( ( ~ ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SX0 @ SX5 )
| ~ ( ~ ( userid @ u @ SX1 @ SX5 )
| ~ ~ ( ~ ( entry_box @ SX2 @ SX5 )
| ~ ( number @ SX2 @ one @ SX5 ) ) ) )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX0 @ SX5 )
| ! [SX6: $i] :
( ~ ( do @ SX4 @ SX3 @ SX6 @ SX5 )
| ( in @ SX1 @ SX2 @ SX6 @ SX5 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[15,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(20,plain,
! [SV1: mworld] :
( ( mrel @ SV1 @ SV1 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[10]) ).
thf(21,plain,
! [SV2: mworld] :
( ( ! [SY0: mworld,SY1: mworld] :
( ~ ( mrel @ SV2 @ SY0 )
| ~ ( mrel @ SY0 @ SY1 )
| ( mrel @ SV2 @ SY1 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[11]) ).
thf(22,plain,
! [SV3: mworld] :
( ( ~ ( mrel @ mactual @ SV3 )
| ! [SY2: $i,SY3: $i,SY4: $i] :
( ~ ~ ( ~ ( string @ SY3 @ SV3 )
| ~ ( entry_box @ SY4 @ SV3 ) )
| ~ ! [SY5: $i] :
~ ! [SY6: mworld] :
( ~ ( mrel @ SV3 @ SY6 )
| ! [SX6: $i] :
( ~ ( do @ SY2 @ SY5 @ SX6 @ SY6 )
| ( in @ SY3 @ SY4 @ SX6 @ SY6 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[16]) ).
thf(23,plain,
( ( ! [SX0: $i] :
~ ! [SX1: mworld] :
( ~ ( mrel @ mactual @ SX1 )
| ~ ( ~ ( entry_box @ SX0 @ SX1 )
| ~ ( number @ SX0 @ one @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[17]) ).
thf(24,plain,
! [SV4: mworld] :
( ( ~ ( mrel @ mactual @ SV4 )
| ~ ! [SY8: $i] :
~ ! [SY9: mworld] :
( ~ ( mrel @ SV4 @ SY9 )
| ~ ( ~ ( userid @ u @ SY8 @ SY9 )
| ~ ( string @ SY8 @ SY9 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[18]) ).
thf(25,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SX0 @ SX5 )
| ~ ( ~ ( userid @ u @ SX1 @ SX5 )
| ~ ~ ( ~ ( entry_box @ SX2 @ SX5 )
| ~ ( number @ SX2 @ one @ SX5 ) ) ) )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX0 @ SX5 )
| ! [SX6: $i] :
( ~ ( do @ SX4 @ SX3 @ SX6 @ SX5 )
| ( in @ SX1 @ SX2 @ SX6 @ SX5 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[19]) ).
thf(26,plain,
! [SV5: mworld,SV2: mworld] :
( ( ! [SY10: mworld] :
( ~ ( mrel @ SV2 @ SV5 )
| ~ ( mrel @ SV5 @ SY10 )
| ( mrel @ SV2 @ SY10 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[21]) ).
thf(27,plain,
! [SV3: mworld] :
( ( ( ~ ( mrel @ mactual @ SV3 ) )
= $true )
| ( ( ! [SY2: $i,SY3: $i,SY4: $i] :
( ~ ~ ( ~ ( string @ SY3 @ SV3 )
| ~ ( entry_box @ SY4 @ SV3 ) )
| ~ ! [SY5: $i] :
~ ! [SY6: mworld] :
( ~ ( mrel @ SV3 @ SY6 )
| ! [SX6: $i] :
( ~ ( do @ SY2 @ SY5 @ SX6 @ SY6 )
| ( in @ SY3 @ SY4 @ SX6 @ SY6 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[22]) ).
thf(28,plain,
( ( ~ ! [SY11: mworld] :
( ~ ( mrel @ mactual @ SY11 )
| ~ ( ~ ( entry_box @ sK1_SX0 @ SY11 )
| ~ ( number @ sK1_SX0 @ one @ SY11 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[23]) ).
thf(29,plain,
! [SV4: mworld] :
( ( ( ~ ( mrel @ mactual @ SV4 ) )
= $true )
| ( ( ~ ! [SY8: $i] :
~ ! [SY9: mworld] :
( ~ ( mrel @ SV4 @ SY9 )
| ~ ( ~ ( userid @ u @ SY8 @ SY9 )
| ~ ( string @ SY8 @ SY9 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[24]) ).
thf(30,plain,
( ( ~ ( mrel @ mactual @ sK2_SX0 )
| ~ ! [SY12: $i] :
~ ~ ! [SY13: $i] :
~ ~ ! [SY14: $i] :
~ ~ ! [SY15: $i] :
~ ~ ( ~ ! [SY16: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY16 )
| ~ ( ~ ( userid @ u @ SY12 @ SY16 )
| ~ ~ ( ~ ( entry_box @ SY13 @ SY16 )
| ~ ( number @ SY13 @ one @ SY16 ) ) ) )
| ~ ! [SY17: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY17 )
| ! [SX6: $i] :
( ~ ( do @ SY15 @ SY14 @ SX6 @ SY17 )
| ( in @ SY12 @ SY13 @ SX6 @ SY17 ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[25]) ).
thf(31,plain,
! [SV6: mworld,SV5: mworld,SV2: mworld] :
( ( ~ ( mrel @ SV2 @ SV5 )
| ~ ( mrel @ SV5 @ SV6 )
| ( mrel @ SV2 @ SV6 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[26]) ).
thf(32,plain,
! [SV3: mworld] :
( ( ( mrel @ mactual @ SV3 )
= $false )
| ( ( ! [SY2: $i,SY3: $i,SY4: $i] :
( ~ ~ ( ~ ( string @ SY3 @ SV3 )
| ~ ( entry_box @ SY4 @ SV3 ) )
| ~ ! [SY5: $i] :
~ ! [SY6: mworld] :
( ~ ( mrel @ SV3 @ SY6 )
| ! [SX6: $i] :
( ~ ( do @ SY2 @ SY5 @ SX6 @ SY6 )
| ( in @ SY3 @ SY4 @ SX6 @ SY6 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[27]) ).
thf(33,plain,
( ( ! [SY11: mworld] :
( ~ ( mrel @ mactual @ SY11 )
| ~ ( ~ ( entry_box @ sK1_SX0 @ SY11 )
| ~ ( number @ sK1_SX0 @ one @ SY11 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[28]) ).
thf(34,plain,
! [SV4: mworld] :
( ( ( mrel @ mactual @ SV4 )
= $false )
| ( ( ~ ! [SY8: $i] :
~ ! [SY9: mworld] :
( ~ ( mrel @ SV4 @ SY9 )
| ~ ( ~ ( userid @ u @ SY8 @ SY9 )
| ~ ( string @ SY8 @ SY9 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[29]) ).
thf(35,plain,
( ( ~ ( mrel @ mactual @ sK2_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[30]) ).
thf(36,plain,
( ( ~ ! [SY12: $i] :
~ ~ ! [SY13: $i] :
~ ~ ! [SY14: $i] :
~ ~ ! [SY15: $i] :
~ ~ ( ~ ! [SY16: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY16 )
| ~ ( ~ ( userid @ u @ SY12 @ SY16 )
| ~ ~ ( ~ ( entry_box @ SY13 @ SY16 )
| ~ ( number @ SY13 @ one @ SY16 ) ) ) )
| ~ ! [SY17: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY17 )
| ! [SX6: $i] :
( ~ ( do @ SY15 @ SY14 @ SX6 @ SY17 )
| ( in @ SY12 @ SY13 @ SX6 @ SY17 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[30]) ).
thf(37,plain,
! [SV6: mworld,SV5: mworld,SV2: mworld] :
( ( ( ~ ( mrel @ SV2 @ SV5 )
| ~ ( mrel @ SV5 @ SV6 ) )
= $true )
| ( ( mrel @ SV2 @ SV6 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[31]) ).
thf(38,plain,
! [SV7: $i,SV3: mworld] :
( ( ( ! [SY19: $i,SY20: $i] :
( ~ ~ ( ~ ( string @ SY19 @ SV3 )
| ~ ( entry_box @ SY20 @ SV3 ) )
| ~ ! [SY21: $i] :
~ ! [SY22: mworld] :
( ~ ( mrel @ SV3 @ SY22 )
| ! [SY23: $i] :
( ~ ( do @ SV7 @ SY21 @ SY23 @ SY22 )
| ( in @ SY19 @ SY20 @ SY23 @ SY22 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV3 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[32]) ).
thf(39,plain,
! [SV8: mworld] :
( ( ~ ( mrel @ mactual @ SV8 )
| ~ ( ~ ( entry_box @ sK1_SX0 @ SV8 )
| ~ ( number @ sK1_SX0 @ one @ SV8 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[33]) ).
thf(40,plain,
! [SV4: mworld] :
( ( ( ! [SY8: $i] :
~ ! [SY9: mworld] :
( ~ ( mrel @ SV4 @ SY9 )
| ~ ( ~ ( userid @ u @ SY8 @ SY9 )
| ~ ( string @ SY8 @ SY9 ) ) ) )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[34]) ).
thf(41,plain,
( ( mrel @ mactual @ sK2_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[35]) ).
thf(42,plain,
( ( ! [SY12: $i] :
~ ~ ! [SY13: $i] :
~ ~ ! [SY14: $i] :
~ ~ ! [SY15: $i] :
~ ~ ( ~ ! [SY16: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY16 )
| ~ ( ~ ( userid @ u @ SY12 @ SY16 )
| ~ ~ ( ~ ( entry_box @ SY13 @ SY16 )
| ~ ( number @ SY13 @ one @ SY16 ) ) ) )
| ~ ! [SY17: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY17 )
| ! [SX6: $i] :
( ~ ( do @ SY15 @ SY14 @ SX6 @ SY17 )
| ( in @ SY12 @ SY13 @ SX6 @ SY17 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[36]) ).
thf(43,plain,
! [SV6: mworld,SV5: mworld,SV2: mworld] :
( ( ( ~ ( mrel @ SV2 @ SV5 ) )
= $true )
| ( ( ~ ( mrel @ SV5 @ SV6 ) )
= $true )
| ( ( mrel @ SV2 @ SV6 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[37]) ).
thf(44,plain,
! [SV7: $i,SV3: mworld,SV9: $i] :
( ( ( ! [SY24: $i] :
( ~ ~ ( ~ ( string @ SV9 @ SV3 )
| ~ ( entry_box @ SY24 @ SV3 ) )
| ~ ! [SY25: $i] :
~ ! [SY26: mworld] :
( ~ ( mrel @ SV3 @ SY26 )
| ! [SY27: $i] :
( ~ ( do @ SV7 @ SY25 @ SY27 @ SY26 )
| ( in @ SV9 @ SY24 @ SY27 @ SY26 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV3 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[38]) ).
thf(45,plain,
! [SV8: mworld] :
( ( ( ~ ( mrel @ mactual @ SV8 ) )
= $true )
| ( ( ~ ( ~ ( entry_box @ sK1_SX0 @ SV8 )
| ~ ( number @ sK1_SX0 @ one @ SV8 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[39]) ).
thf(46,plain,
! [SV4: mworld] :
( ( ( ~ ! [SY28: mworld] :
( ~ ( mrel @ SV4 @ SY28 )
| ~ ( ~ ( userid @ u @ ( sK3_SY8 @ SV4 ) @ SY28 )
| ~ ( string @ ( sK3_SY8 @ SV4 ) @ SY28 ) ) ) )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[40]) ).
thf(47,plain,
! [SV10: $i] :
( ( ~ ~ ! [SY29: $i] :
~ ~ ! [SY30: $i] :
~ ~ ! [SY31: $i] :
~ ~ ( ~ ! [SY32: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY32 )
| ~ ( ~ ( userid @ u @ SV10 @ SY32 )
| ~ ~ ( ~ ( entry_box @ SY29 @ SY32 )
| ~ ( number @ SY29 @ one @ SY32 ) ) ) )
| ~ ! [SY33: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY33 )
| ! [SY34: $i] :
( ~ ( do @ SY31 @ SY30 @ SY34 @ SY33 )
| ( in @ SV10 @ SY29 @ SY34 @ SY33 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[42]) ).
thf(48,plain,
! [SV6: mworld,SV5: mworld,SV2: mworld] :
( ( ( mrel @ SV2 @ SV5 )
= $false )
| ( ( ~ ( mrel @ SV5 @ SV6 ) )
= $true )
| ( ( mrel @ SV2 @ SV6 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[43]) ).
thf(49,plain,
! [SV7: $i,SV11: $i,SV3: mworld,SV9: $i] :
( ( ( ~ ~ ( ~ ( string @ SV9 @ SV3 )
| ~ ( entry_box @ SV11 @ SV3 ) )
| ~ ! [SY35: $i] :
~ ! [SY36: mworld] :
( ~ ( mrel @ SV3 @ SY36 )
| ! [SY37: $i] :
( ~ ( do @ SV7 @ SY35 @ SY37 @ SY36 )
| ( in @ SV9 @ SV11 @ SY37 @ SY36 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV3 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[44]) ).
thf(50,plain,
! [SV8: mworld] :
( ( ( mrel @ mactual @ SV8 )
= $false )
| ( ( ~ ( ~ ( entry_box @ sK1_SX0 @ SV8 )
| ~ ( number @ sK1_SX0 @ one @ SV8 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[45]) ).
thf(51,plain,
! [SV4: mworld] :
( ( ( ! [SY28: mworld] :
( ~ ( mrel @ SV4 @ SY28 )
| ~ ( ~ ( userid @ u @ ( sK3_SY8 @ SV4 ) @ SY28 )
| ~ ( string @ ( sK3_SY8 @ SV4 ) @ SY28 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[46]) ).
thf(52,plain,
! [SV10: $i] :
( ( ~ ! [SY29: $i] :
~ ~ ! [SY30: $i] :
~ ~ ! [SY31: $i] :
~ ~ ( ~ ! [SY32: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY32 )
| ~ ( ~ ( userid @ u @ SV10 @ SY32 )
| ~ ~ ( ~ ( entry_box @ SY29 @ SY32 )
| ~ ( number @ SY29 @ one @ SY32 ) ) ) )
| ~ ! [SY33: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY33 )
| ! [SY34: $i] :
( ~ ( do @ SY31 @ SY30 @ SY34 @ SY33 )
| ( in @ SV10 @ SY29 @ SY34 @ SY33 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[47]) ).
thf(53,plain,
! [SV2: mworld,SV6: mworld,SV5: mworld] :
( ( ( mrel @ SV5 @ SV6 )
= $false )
| ( ( mrel @ SV2 @ SV5 )
= $false )
| ( ( mrel @ SV2 @ SV6 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[48]) ).
thf(54,plain,
! [SV7: $i,SV11: $i,SV3: mworld,SV9: $i] :
( ( ( ~ ~ ( ~ ( string @ SV9 @ SV3 )
| ~ ( entry_box @ SV11 @ SV3 ) ) )
= $true )
| ( ( ~ ! [SY35: $i] :
~ ! [SY36: mworld] :
( ~ ( mrel @ SV3 @ SY36 )
| ! [SY37: $i] :
( ~ ( do @ SV7 @ SY35 @ SY37 @ SY36 )
| ( in @ SV9 @ SV11 @ SY37 @ SY36 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[49]) ).
thf(55,plain,
! [SV8: mworld] :
( ( ( ~ ( entry_box @ sK1_SX0 @ SV8 )
| ~ ( number @ sK1_SX0 @ one @ SV8 ) )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[50]) ).
thf(56,plain,
! [SV12: mworld,SV4: mworld] :
( ( ( ~ ( mrel @ SV4 @ SV12 )
| ~ ( ~ ( userid @ u @ ( sK3_SY8 @ SV4 ) @ SV12 )
| ~ ( string @ ( sK3_SY8 @ SV4 ) @ SV12 ) ) )
= $true )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[51]) ).
thf(57,plain,
! [SV10: $i] :
( ( ! [SY29: $i] :
~ ~ ! [SY30: $i] :
~ ~ ! [SY31: $i] :
~ ~ ( ~ ! [SY32: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY32 )
| ~ ( ~ ( userid @ u @ SV10 @ SY32 )
| ~ ~ ( ~ ( entry_box @ SY29 @ SY32 )
| ~ ( number @ SY29 @ one @ SY32 ) ) ) )
| ~ ! [SY33: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY33 )
| ! [SY34: $i] :
( ~ ( do @ SY31 @ SY30 @ SY34 @ SY33 )
| ( in @ SV10 @ SY29 @ SY34 @ SY33 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[52]) ).
thf(58,plain,
! [SV7: $i,SV11: $i,SV3: mworld,SV9: $i] :
( ( ( ~ ( ~ ( string @ SV9 @ SV3 )
| ~ ( entry_box @ SV11 @ SV3 ) ) )
= $false )
| ( ( ~ ! [SY35: $i] :
~ ! [SY36: mworld] :
( ~ ( mrel @ SV3 @ SY36 )
| ! [SY37: $i] :
( ~ ( do @ SV7 @ SY35 @ SY37 @ SY36 )
| ( in @ SV9 @ SV11 @ SY37 @ SY36 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[54]) ).
thf(59,plain,
! [SV8: mworld] :
( ( ( ~ ( entry_box @ sK1_SX0 @ SV8 ) )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[55]) ).
thf(60,plain,
! [SV8: mworld] :
( ( ( ~ ( number @ sK1_SX0 @ one @ SV8 ) )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[55]) ).
thf(61,plain,
! [SV12: mworld,SV4: mworld] :
( ( ( ~ ( mrel @ SV4 @ SV12 ) )
= $true )
| ( ( ~ ( ~ ( userid @ u @ ( sK3_SY8 @ SV4 ) @ SV12 )
| ~ ( string @ ( sK3_SY8 @ SV4 ) @ SV12 ) ) )
= $true )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[56]) ).
thf(62,plain,
! [SV13: $i,SV10: $i] :
( ( ~ ~ ! [SY38: $i] :
~ ~ ! [SY39: $i] :
~ ~ ( ~ ! [SY40: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY40 )
| ~ ( ~ ( userid @ u @ SV10 @ SY40 )
| ~ ~ ( ~ ( entry_box @ SV13 @ SY40 )
| ~ ( number @ SV13 @ one @ SY40 ) ) ) )
| ~ ! [SY41: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY41 )
| ! [SY42: $i] :
( ~ ( do @ SY39 @ SY38 @ SY42 @ SY41 )
| ( in @ SV10 @ SV13 @ SY42 @ SY41 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[57]) ).
thf(63,plain,
! [SV7: $i,SV11: $i,SV3: mworld,SV9: $i] :
( ( ( ~ ( string @ SV9 @ SV3 )
| ~ ( entry_box @ SV11 @ SV3 ) )
= $true )
| ( ( ~ ! [SY35: $i] :
~ ! [SY36: mworld] :
( ~ ( mrel @ SV3 @ SY36 )
| ! [SY37: $i] :
( ~ ( do @ SV7 @ SY35 @ SY37 @ SY36 )
| ( in @ SV9 @ SV11 @ SY37 @ SY36 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[58]) ).
thf(64,plain,
! [SV8: mworld] :
( ( ( entry_box @ sK1_SX0 @ SV8 )
= $true )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[59]) ).
thf(65,plain,
! [SV8: mworld] :
( ( ( number @ sK1_SX0 @ one @ SV8 )
= $true )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[60]) ).
thf(66,plain,
! [SV12: mworld,SV4: mworld] :
( ( ( mrel @ SV4 @ SV12 )
= $false )
| ( ( ~ ( ~ ( userid @ u @ ( sK3_SY8 @ SV4 ) @ SV12 )
| ~ ( string @ ( sK3_SY8 @ SV4 ) @ SV12 ) ) )
= $true )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[61]) ).
thf(67,plain,
! [SV13: $i,SV10: $i] :
( ( ~ ! [SY38: $i] :
~ ~ ! [SY39: $i] :
~ ~ ( ~ ! [SY40: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY40 )
| ~ ( ~ ( userid @ u @ SV10 @ SY40 )
| ~ ~ ( ~ ( entry_box @ SV13 @ SY40 )
| ~ ( number @ SV13 @ one @ SY40 ) ) ) )
| ~ ! [SY41: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY41 )
| ! [SY42: $i] :
( ~ ( do @ SY39 @ SY38 @ SY42 @ SY41 )
| ( in @ SV10 @ SV13 @ SY42 @ SY41 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[62]) ).
thf(68,plain,
! [SV7: $i,SV11: $i,SV3: mworld,SV9: $i] :
( ( ( ~ ( string @ SV9 @ SV3 ) )
= $true )
| ( ( ~ ( entry_box @ SV11 @ SV3 ) )
= $true )
| ( ( ~ ! [SY35: $i] :
~ ! [SY36: mworld] :
( ~ ( mrel @ SV3 @ SY36 )
| ! [SY37: $i] :
( ~ ( do @ SV7 @ SY35 @ SY37 @ SY36 )
| ( in @ SV9 @ SV11 @ SY37 @ SY36 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[63]) ).
thf(69,plain,
! [SV12: mworld,SV4: mworld] :
( ( ( ~ ( userid @ u @ ( sK3_SY8 @ SV4 ) @ SV12 )
| ~ ( string @ ( sK3_SY8 @ SV4 ) @ SV12 ) )
= $false )
| ( ( mrel @ SV4 @ SV12 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[66]) ).
thf(70,plain,
! [SV13: $i,SV10: $i] :
( ( ! [SY38: $i] :
~ ~ ! [SY39: $i] :
~ ~ ( ~ ! [SY40: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY40 )
| ~ ( ~ ( userid @ u @ SV10 @ SY40 )
| ~ ~ ( ~ ( entry_box @ SV13 @ SY40 )
| ~ ( number @ SV13 @ one @ SY40 ) ) ) )
| ~ ! [SY41: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY41 )
| ! [SY42: $i] :
( ~ ( do @ SY39 @ SY38 @ SY42 @ SY41 )
| ( in @ SV10 @ SV13 @ SY42 @ SY41 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[67]) ).
thf(71,plain,
! [SV7: $i,SV11: $i,SV3: mworld,SV9: $i] :
( ( ( string @ SV9 @ SV3 )
= $false )
| ( ( ~ ( entry_box @ SV11 @ SV3 ) )
= $true )
| ( ( ~ ! [SY35: $i] :
~ ! [SY36: mworld] :
( ~ ( mrel @ SV3 @ SY36 )
| ! [SY37: $i] :
( ~ ( do @ SV7 @ SY35 @ SY37 @ SY36 )
| ( in @ SV9 @ SV11 @ SY37 @ SY36 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[68]) ).
thf(72,plain,
! [SV12: mworld,SV4: mworld] :
( ( ( ~ ( userid @ u @ ( sK3_SY8 @ SV4 ) @ SV12 ) )
= $false )
| ( ( mrel @ SV4 @ SV12 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[69]) ).
thf(73,plain,
! [SV12: mworld,SV4: mworld] :
( ( ( ~ ( string @ ( sK3_SY8 @ SV4 ) @ SV12 ) )
= $false )
| ( ( mrel @ SV4 @ SV12 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[69]) ).
thf(74,plain,
! [SV14: $i,SV13: $i,SV10: $i] :
( ( ~ ~ ! [SY43: $i] :
~ ~ ( ~ ! [SY40: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY40 )
| ~ ( ~ ( userid @ u @ SV10 @ SY40 )
| ~ ~ ( ~ ( entry_box @ SV13 @ SY40 )
| ~ ( number @ SV13 @ one @ SY40 ) ) ) )
| ~ ! [SY45: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY45 )
| ! [SY46: $i] :
( ~ ( do @ SY43 @ SV14 @ SY46 @ SY45 )
| ( in @ SV10 @ SV13 @ SY46 @ SY45 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[70]) ).
thf(75,plain,
! [SV7: $i,SV9: $i,SV3: mworld,SV11: $i] :
( ( ( entry_box @ SV11 @ SV3 )
= $false )
| ( ( string @ SV9 @ SV3 )
= $false )
| ( ( ~ ! [SY35: $i] :
~ ! [SY36: mworld] :
( ~ ( mrel @ SV3 @ SY36 )
| ! [SY37: $i] :
( ~ ( do @ SV7 @ SY35 @ SY37 @ SY36 )
| ( in @ SV9 @ SV11 @ SY37 @ SY36 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[71]) ).
thf(76,plain,
! [SV12: mworld,SV4: mworld] :
( ( ( userid @ u @ ( sK3_SY8 @ SV4 ) @ SV12 )
= $true )
| ( ( mrel @ SV4 @ SV12 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[72]) ).
thf(77,plain,
! [SV12: mworld,SV4: mworld] :
( ( ( string @ ( sK3_SY8 @ SV4 ) @ SV12 )
= $true )
| ( ( mrel @ SV4 @ SV12 )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[73]) ).
thf(78,plain,
! [SV14: $i,SV13: $i,SV10: $i] :
( ( ~ ! [SY43: $i] :
~ ~ ( ~ ! [SY40: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY40 )
| ~ ( ~ ( userid @ u @ SV10 @ SY40 )
| ~ ~ ( ~ ( entry_box @ SV13 @ SY40 )
| ~ ( number @ SV13 @ one @ SY40 ) ) ) )
| ~ ! [SY45: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY45 )
| ! [SY46: $i] :
( ~ ( do @ SY43 @ SV14 @ SY46 @ SY45 )
| ( in @ SV10 @ SV13 @ SY46 @ SY45 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[74]) ).
thf(79,plain,
! [SV11: $i,SV9: $i,SV7: $i,SV3: mworld] :
( ( ( ! [SY35: $i] :
~ ! [SY36: mworld] :
( ~ ( mrel @ SV3 @ SY36 )
| ! [SY37: $i] :
( ~ ( do @ SV7 @ SY35 @ SY37 @ SY36 )
| ( in @ SV9 @ SV11 @ SY37 @ SY36 ) ) ) )
= $false )
| ( ( string @ SV9 @ SV3 )
= $false )
| ( ( entry_box @ SV11 @ SV3 )
= $false )
| ( ( mrel @ mactual @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[75]) ).
thf(80,plain,
! [SV14: $i,SV13: $i,SV10: $i] :
( ( ! [SY43: $i] :
~ ~ ( ~ ! [SY40: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY40 )
| ~ ( ~ ( userid @ u @ SV10 @ SY40 )
| ~ ~ ( ~ ( entry_box @ SV13 @ SY40 )
| ~ ( number @ SV13 @ one @ SY40 ) ) ) )
| ~ ! [SY45: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY45 )
| ! [SY46: $i] :
( ~ ( do @ SY43 @ SV14 @ SY46 @ SY45 )
| ( in @ SV10 @ SV13 @ SY46 @ SY45 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[78]) ).
thf(81,plain,
! [SV9: $i,SV11: $i,SV7: $i,SV3: mworld] :
( ( ( ~ ! [SY47: mworld] :
( ~ ( mrel @ SV3 @ SY47 )
| ! [SY48: $i] :
( ~ ( do @ SV7 @ ( sK4_SY35 @ SV11 @ SV9 @ SV7 @ SV3 ) @ SY48 @ SY47 )
| ( in @ SV9 @ SV11 @ SY48 @ SY47 ) ) ) )
= $false )
| ( ( string @ SV9 @ SV3 )
= $false )
| ( ( entry_box @ SV11 @ SV3 )
= $false )
| ( ( mrel @ mactual @ SV3 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[79]) ).
thf(82,plain,
! [SV14: $i,SV15: $i,SV13: $i,SV10: $i] :
( ( ~ ~ ( ~ ! [SY40: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY40 )
| ~ ( ~ ( userid @ u @ SV10 @ SY40 )
| ~ ~ ( ~ ( entry_box @ SV13 @ SY40 )
| ~ ( number @ SV13 @ one @ SY40 ) ) ) )
| ~ ! [SY50: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY50 )
| ! [SY51: $i] :
( ~ ( do @ SV15 @ SV14 @ SY51 @ SY50 )
| ( in @ SV10 @ SV13 @ SY51 @ SY50 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[80]) ).
thf(83,plain,
! [SV9: $i,SV11: $i,SV7: $i,SV3: mworld] :
( ( ( ! [SY47: mworld] :
( ~ ( mrel @ SV3 @ SY47 )
| ! [SY48: $i] :
( ~ ( do @ SV7 @ ( sK4_SY35 @ SV11 @ SV9 @ SV7 @ SV3 ) @ SY48 @ SY47 )
| ( in @ SV9 @ SV11 @ SY48 @ SY47 ) ) ) )
= $true )
| ( ( string @ SV9 @ SV3 )
= $false )
| ( ( entry_box @ SV11 @ SV3 )
= $false )
| ( ( mrel @ mactual @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[81]) ).
thf(84,plain,
! [SV14: $i,SV15: $i,SV13: $i,SV10: $i] :
( ( ~ ( ~ ! [SY40: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY40 )
| ~ ( ~ ( userid @ u @ SV10 @ SY40 )
| ~ ~ ( ~ ( entry_box @ SV13 @ SY40 )
| ~ ( number @ SV13 @ one @ SY40 ) ) ) )
| ~ ! [SY50: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY50 )
| ! [SY51: $i] :
( ~ ( do @ SV15 @ SV14 @ SY51 @ SY50 )
| ( in @ SV10 @ SV13 @ SY51 @ SY50 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[82]) ).
thf(85,plain,
! [SV9: $i,SV11: $i,SV7: $i,SV16: mworld,SV3: mworld] :
( ( ( ~ ( mrel @ SV3 @ SV16 )
| ! [SY52: $i] :
( ~ ( do @ SV7 @ ( sK4_SY35 @ SV11 @ SV9 @ SV7 @ SV3 ) @ SY52 @ SV16 )
| ( in @ SV9 @ SV11 @ SY52 @ SV16 ) ) )
= $true )
| ( ( string @ SV9 @ SV3 )
= $false )
| ( ( entry_box @ SV11 @ SV3 )
= $false )
| ( ( mrel @ mactual @ SV3 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[83]) ).
thf(86,plain,
! [SV14: $i,SV15: $i,SV13: $i,SV10: $i] :
( ( ~ ! [SY40: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY40 )
| ~ ( ~ ( userid @ u @ SV10 @ SY40 )
| ~ ~ ( ~ ( entry_box @ SV13 @ SY40 )
| ~ ( number @ SV13 @ one @ SY40 ) ) ) )
| ~ ! [SY50: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY50 )
| ! [SY51: $i] :
( ~ ( do @ SV15 @ SV14 @ SY51 @ SY50 )
| ( in @ SV10 @ SV13 @ SY51 @ SY50 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[84]) ).
thf(87,plain,
! [SV9: $i,SV11: $i,SV7: $i,SV16: mworld,SV3: mworld] :
( ( ( ~ ( mrel @ SV3 @ SV16 ) )
= $true )
| ( ( ! [SY52: $i] :
( ~ ( do @ SV7 @ ( sK4_SY35 @ SV11 @ SV9 @ SV7 @ SV3 ) @ SY52 @ SV16 )
| ( in @ SV9 @ SV11 @ SY52 @ SV16 ) ) )
= $true )
| ( ( string @ SV9 @ SV3 )
= $false )
| ( ( entry_box @ SV11 @ SV3 )
= $false )
| ( ( mrel @ mactual @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[85]) ).
thf(88,plain,
! [SV14: $i,SV15: $i,SV13: $i,SV10: $i] :
( ( ( ~ ! [SY40: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY40 )
| ~ ( ~ ( userid @ u @ SV10 @ SY40 )
| ~ ~ ( ~ ( entry_box @ SV13 @ SY40 )
| ~ ( number @ SV13 @ one @ SY40 ) ) ) ) )
= $true )
| ( ( ~ ! [SY50: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY50 )
| ! [SY51: $i] :
( ~ ( do @ SV15 @ SV14 @ SY51 @ SY50 )
| ( in @ SV10 @ SV13 @ SY51 @ SY50 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[86]) ).
thf(89,plain,
! [SV9: $i,SV11: $i,SV7: $i,SV16: mworld,SV3: mworld] :
( ( ( mrel @ SV3 @ SV16 )
= $false )
| ( ( ! [SY52: $i] :
( ~ ( do @ SV7 @ ( sK4_SY35 @ SV11 @ SV9 @ SV7 @ SV3 ) @ SY52 @ SV16 )
| ( in @ SV9 @ SV11 @ SY52 @ SV16 ) ) )
= $true )
| ( ( string @ SV9 @ SV3 )
= $false )
| ( ( entry_box @ SV11 @ SV3 )
= $false )
| ( ( mrel @ mactual @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[87]) ).
thf(90,plain,
! [SV14: $i,SV15: $i,SV13: $i,SV10: $i] :
( ( ( ! [SY40: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY40 )
| ~ ( ~ ( userid @ u @ SV10 @ SY40 )
| ~ ~ ( ~ ( entry_box @ SV13 @ SY40 )
| ~ ( number @ SV13 @ one @ SY40 ) ) ) ) )
= $false )
| ( ( ~ ! [SY50: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY50 )
| ! [SY51: $i] :
( ~ ( do @ SV15 @ SV14 @ SY51 @ SY50 )
| ( in @ SV10 @ SV13 @ SY51 @ SY50 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[88]) ).
thf(91,plain,
! [SV16: mworld,SV17: $i,SV3: mworld,SV9: $i,SV11: $i,SV7: $i] :
( ( ( ~ ( do @ SV7 @ ( sK4_SY35 @ SV11 @ SV9 @ SV7 @ SV3 ) @ SV17 @ SV16 )
| ( in @ SV9 @ SV11 @ SV17 @ SV16 ) )
= $true )
| ( ( mrel @ SV3 @ SV16 )
= $false )
| ( ( string @ SV9 @ SV3 )
= $false )
| ( ( entry_box @ SV11 @ SV3 )
= $false )
| ( ( mrel @ mactual @ SV3 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[89]) ).
thf(92,plain,
! [SV10: $i,SV13: $i,SV15: $i,SV14: $i] :
( ( ( ~ ( mrel @ sK2_SX0 @ ( sK5_SY40 @ SV14 @ SV15 @ SV13 @ SV10 ) )
| ~ ( ~ ( userid @ u @ SV10 @ ( sK5_SY40 @ SV14 @ SV15 @ SV13 @ SV10 ) )
| ~ ~ ( ~ ( entry_box @ SV13 @ ( sK5_SY40 @ SV14 @ SV15 @ SV13 @ SV10 ) )
| ~ ( number @ SV13 @ one @ ( sK5_SY40 @ SV14 @ SV15 @ SV13 @ SV10 ) ) ) ) )
= $false )
| ( ( ~ ! [SY50: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY50 )
| ! [SY51: $i] :
( ~ ( do @ SV15 @ SV14 @ SY51 @ SY50 )
| ( in @ SV10 @ SV13 @ SY51 @ SY50 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[90]) ).
thf(93,plain,
! [SV16: mworld,SV17: $i,SV3: mworld,SV9: $i,SV11: $i,SV7: $i] :
( ( ( ~ ( do @ SV7 @ ( sK4_SY35 @ SV11 @ SV9 @ SV7 @ SV3 ) @ SV17 @ SV16 ) )
= $true )
| ( ( in @ SV9 @ SV11 @ SV17 @ SV16 )
= $true )
| ( ( mrel @ SV3 @ SV16 )
= $false )
| ( ( string @ SV9 @ SV3 )
= $false )
| ( ( entry_box @ SV11 @ SV3 )
= $false )
| ( ( mrel @ mactual @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[91]) ).
thf(94,plain,
! [SV10: $i,SV13: $i,SV15: $i,SV14: $i] :
( ( ( ~ ( mrel @ sK2_SX0 @ ( sK5_SY40 @ SV14 @ SV15 @ SV13 @ SV10 ) ) )
= $false )
| ( ( ~ ! [SY50: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY50 )
| ! [SY51: $i] :
( ~ ( do @ SV15 @ SV14 @ SY51 @ SY50 )
| ( in @ SV10 @ SV13 @ SY51 @ SY50 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[92]) ).
thf(95,plain,
! [SV13: $i,SV15: $i,SV14: $i,SV10: $i] :
( ( ( ~ ( ~ ( userid @ u @ SV10 @ ( sK5_SY40 @ SV14 @ SV15 @ SV13 @ SV10 ) )
| ~ ~ ( ~ ( entry_box @ SV13 @ ( sK5_SY40 @ SV14 @ SV15 @ SV13 @ SV10 ) )
| ~ ( number @ SV13 @ one @ ( sK5_SY40 @ SV14 @ SV15 @ SV13 @ SV10 ) ) ) ) )
= $false )
| ( ( ~ ! [SY50: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY50 )
| ! [SY51: $i] :
( ~ ( do @ SV15 @ SV14 @ SY51 @ SY50 )
| ( in @ SV10 @ SV13 @ SY51 @ SY50 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[92]) ).
thf(96,plain,
! [SV16: mworld,SV17: $i,SV3: mworld,SV9: $i,SV11: $i,SV7: $i] :
( ( ( do @ SV7 @ ( sK4_SY35 @ SV11 @ SV9 @ SV7 @ SV3 ) @ SV17 @ SV16 )
= $false )
| ( ( in @ SV9 @ SV11 @ SV17 @ SV16 )
= $true )
| ( ( mrel @ SV3 @ SV16 )
= $false )
| ( ( string @ SV9 @ SV3 )
= $false )
| ( ( entry_box @ SV11 @ SV3 )
= $false )
| ( ( mrel @ mactual @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[93]) ).
thf(97,plain,
! [SV10: $i,SV13: $i,SV15: $i,SV14: $i] :
( ( ( mrel @ sK2_SX0 @ ( sK5_SY40 @ SV14 @ SV15 @ SV13 @ SV10 ) )
= $true )
| ( ( ~ ! [SY50: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY50 )
| ! [SY51: $i] :
( ~ ( do @ SV15 @ SV14 @ SY51 @ SY50 )
| ( in @ SV10 @ SV13 @ SY51 @ SY50 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[94]) ).
thf(98,plain,
! [SV13: $i,SV15: $i,SV14: $i,SV10: $i] :
( ( ( ~ ( userid @ u @ SV10 @ ( sK5_SY40 @ SV14 @ SV15 @ SV13 @ SV10 ) )
| ~ ~ ( ~ ( entry_box @ SV13 @ ( sK5_SY40 @ SV14 @ SV15 @ SV13 @ SV10 ) )
| ~ ( number @ SV13 @ one @ ( sK5_SY40 @ SV14 @ SV15 @ SV13 @ SV10 ) ) ) )
= $true )
| ( ( ~ ! [SY50: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY50 )
| ! [SY51: $i] :
( ~ ( do @ SV15 @ SV14 @ SY51 @ SY50 )
| ( in @ SV10 @ SV13 @ SY51 @ SY50 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[95]) ).
thf(99,plain,
! [SV13: $i,SV10: $i,SV14: $i,SV15: $i] :
( ( ( ! [SY50: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY50 )
| ! [SY51: $i] :
( ~ ( do @ SV15 @ SV14 @ SY51 @ SY50 )
| ( in @ SV10 @ SV13 @ SY51 @ SY50 ) ) ) )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK5_SY40 @ SV14 @ SV15 @ SV13 @ SV10 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[97]) ).
thf(100,plain,
! [SV13: $i,SV15: $i,SV14: $i,SV10: $i] :
( ( ( ~ ( userid @ u @ SV10 @ ( sK5_SY40 @ SV14 @ SV15 @ SV13 @ SV10 ) ) )
= $true )
| ( ( ~ ~ ( ~ ( entry_box @ SV13 @ ( sK5_SY40 @ SV14 @ SV15 @ SV13 @ SV10 ) )
| ~ ( number @ SV13 @ one @ ( sK5_SY40 @ SV14 @ SV15 @ SV13 @ SV10 ) ) ) )
= $true )
| ( ( ~ ! [SY50: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY50 )
| ! [SY51: $i] :
( ~ ( do @ SV15 @ SV14 @ SY51 @ SY50 )
| ( in @ SV10 @ SV13 @ SY51 @ SY50 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[98]) ).
thf(101,plain,
! [SV15: $i,SV14: $i,SV10: $i,SV13: $i] :
( ( ( ~ ( mrel @ sK2_SX0 @ ( sK6_SY50 @ SV13 @ SV10 @ SV14 @ SV15 ) )
| ! [SY53: $i] :
( ~ ( do @ SV15 @ SV14 @ SY53 @ ( sK6_SY50 @ SV13 @ SV10 @ SV14 @ SV15 ) )
| ( in @ SV10 @ SV13 @ SY53 @ ( sK6_SY50 @ SV13 @ SV10 @ SV14 @ SV15 ) ) ) )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK5_SY40 @ SV14 @ SV15 @ SV13 @ SV10 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[99]) ).
thf(102,plain,
! [SV13: $i,SV15: $i,SV14: $i,SV10: $i] :
( ( ( userid @ u @ SV10 @ ( sK5_SY40 @ SV14 @ SV15 @ SV13 @ SV10 ) )
= $false )
| ( ( ~ ~ ( ~ ( entry_box @ SV13 @ ( sK5_SY40 @ SV14 @ SV15 @ SV13 @ SV10 ) )
| ~ ( number @ SV13 @ one @ ( sK5_SY40 @ SV14 @ SV15 @ SV13 @ SV10 ) ) ) )
= $true )
| ( ( ~ ! [SY50: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY50 )
| ! [SY51: $i] :
( ~ ( do @ SV15 @ SV14 @ SY51 @ SY50 )
| ( in @ SV10 @ SV13 @ SY51 @ SY50 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[100]) ).
thf(103,plain,
! [SV15: $i,SV14: $i,SV10: $i,SV13: $i] :
( ( ( ~ ( mrel @ sK2_SX0 @ ( sK6_SY50 @ SV13 @ SV10 @ SV14 @ SV15 ) ) )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK5_SY40 @ SV14 @ SV15 @ SV13 @ SV10 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[101]) ).
thf(104,plain,
! [SV10: $i,SV13: $i,SV14: $i,SV15: $i] :
( ( ( ! [SY53: $i] :
( ~ ( do @ SV15 @ SV14 @ SY53 @ ( sK6_SY50 @ SV13 @ SV10 @ SV14 @ SV15 ) )
| ( in @ SV10 @ SV13 @ SY53 @ ( sK6_SY50 @ SV13 @ SV10 @ SV14 @ SV15 ) ) ) )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK5_SY40 @ SV14 @ SV15 @ SV13 @ SV10 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[101]) ).
thf(105,plain,
! [SV10: $i,SV15: $i,SV14: $i,SV13: $i] :
( ( ( ~ ( ~ ( entry_box @ SV13 @ ( sK5_SY40 @ SV14 @ SV15 @ SV13 @ SV10 ) )
| ~ ( number @ SV13 @ one @ ( sK5_SY40 @ SV14 @ SV15 @ SV13 @ SV10 ) ) ) )
= $false )
| ( ( userid @ u @ SV10 @ ( sK5_SY40 @ SV14 @ SV15 @ SV13 @ SV10 ) )
= $false )
| ( ( ~ ! [SY50: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY50 )
| ! [SY51: $i] :
( ~ ( do @ SV15 @ SV14 @ SY51 @ SY50 )
| ( in @ SV10 @ SV13 @ SY51 @ SY50 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[102]) ).
thf(106,plain,
! [SV15: $i,SV14: $i,SV10: $i,SV13: $i] :
( ( ( mrel @ sK2_SX0 @ ( sK6_SY50 @ SV13 @ SV10 @ SV14 @ SV15 ) )
= $true )
| ( ( mrel @ sK2_SX0 @ ( sK5_SY40 @ SV14 @ SV15 @ SV13 @ SV10 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[103]) ).
thf(107,plain,
! [SV13: $i,SV10: $i,SV14: $i,SV15: $i] :
( ( ( ~ ( do @ SV15 @ SV14 @ ( sK7_SY53 @ SV10 @ SV13 @ SV14 @ SV15 ) @ ( sK6_SY50 @ SV13 @ SV10 @ SV14 @ SV15 ) )
| ( in @ SV10 @ SV13 @ ( sK7_SY53 @ SV10 @ SV13 @ SV14 @ SV15 ) @ ( sK6_SY50 @ SV13 @ SV10 @ SV14 @ SV15 ) ) )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK5_SY40 @ SV14 @ SV15 @ SV13 @ SV10 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[104]) ).
thf(108,plain,
! [SV10: $i,SV15: $i,SV14: $i,SV13: $i] :
( ( ( ~ ( entry_box @ SV13 @ ( sK5_SY40 @ SV14 @ SV15 @ SV13 @ SV10 ) )
| ~ ( number @ SV13 @ one @ ( sK5_SY40 @ SV14 @ SV15 @ SV13 @ SV10 ) ) )
= $true )
| ( ( userid @ u @ SV10 @ ( sK5_SY40 @ SV14 @ SV15 @ SV13 @ SV10 ) )
= $false )
| ( ( ~ ! [SY50: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY50 )
| ! [SY51: $i] :
( ~ ( do @ SV15 @ SV14 @ SY51 @ SY50 )
| ( in @ SV10 @ SV13 @ SY51 @ SY50 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[105]) ).
thf(109,plain,
! [SV13: $i,SV10: $i,SV14: $i,SV15: $i] :
( ( ( ~ ( do @ SV15 @ SV14 @ ( sK7_SY53 @ SV10 @ SV13 @ SV14 @ SV15 ) @ ( sK6_SY50 @ SV13 @ SV10 @ SV14 @ SV15 ) ) )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK5_SY40 @ SV14 @ SV15 @ SV13 @ SV10 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[107]) ).
thf(110,plain,
! [SV15: $i,SV14: $i,SV13: $i,SV10: $i] :
( ( ( in @ SV10 @ SV13 @ ( sK7_SY53 @ SV10 @ SV13 @ SV14 @ SV15 ) @ ( sK6_SY50 @ SV13 @ SV10 @ SV14 @ SV15 ) )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK5_SY40 @ SV14 @ SV15 @ SV13 @ SV10 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[107]) ).
thf(111,plain,
! [SV10: $i,SV15: $i,SV14: $i,SV13: $i] :
( ( ( ~ ( entry_box @ SV13 @ ( sK5_SY40 @ SV14 @ SV15 @ SV13 @ SV10 ) ) )
= $true )
| ( ( ~ ( number @ SV13 @ one @ ( sK5_SY40 @ SV14 @ SV15 @ SV13 @ SV10 ) ) )
= $true )
| ( ( userid @ u @ SV10 @ ( sK5_SY40 @ SV14 @ SV15 @ SV13 @ SV10 ) )
= $false )
| ( ( ~ ! [SY50: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY50 )
| ! [SY51: $i] :
( ~ ( do @ SV15 @ SV14 @ SY51 @ SY50 )
| ( in @ SV10 @ SV13 @ SY51 @ SY50 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[108]) ).
thf(112,plain,
! [SV13: $i,SV10: $i,SV14: $i,SV15: $i] :
( ( ( do @ SV15 @ SV14 @ ( sK7_SY53 @ SV10 @ SV13 @ SV14 @ SV15 ) @ ( sK6_SY50 @ SV13 @ SV10 @ SV14 @ SV15 ) )
= $true )
| ( ( mrel @ sK2_SX0 @ ( sK5_SY40 @ SV14 @ SV15 @ SV13 @ SV10 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[109]) ).
thf(113,plain,
! [SV10: $i,SV15: $i,SV14: $i,SV13: $i] :
( ( ( entry_box @ SV13 @ ( sK5_SY40 @ SV14 @ SV15 @ SV13 @ SV10 ) )
= $false )
| ( ( ~ ( number @ SV13 @ one @ ( sK5_SY40 @ SV14 @ SV15 @ SV13 @ SV10 ) ) )
= $true )
| ( ( userid @ u @ SV10 @ ( sK5_SY40 @ SV14 @ SV15 @ SV13 @ SV10 ) )
= $false )
| ( ( ~ ! [SY50: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY50 )
| ! [SY51: $i] :
( ~ ( do @ SV15 @ SV14 @ SY51 @ SY50 )
| ( in @ SV10 @ SV13 @ SY51 @ SY50 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[111]) ).
thf(114,plain,
! [SV10: $i,SV15: $i,SV14: $i,SV13: $i] :
( ( ( number @ SV13 @ one @ ( sK5_SY40 @ SV14 @ SV15 @ SV13 @ SV10 ) )
= $false )
| ( ( entry_box @ SV13 @ ( sK5_SY40 @ SV14 @ SV15 @ SV13 @ SV10 ) )
= $false )
| ( ( userid @ u @ SV10 @ ( sK5_SY40 @ SV14 @ SV15 @ SV13 @ SV10 ) )
= $false )
| ( ( ~ ! [SY50: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY50 )
| ! [SY51: $i] :
( ~ ( do @ SV15 @ SV14 @ SY51 @ SY50 )
| ( in @ SV10 @ SV13 @ SY51 @ SY50 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[113]) ).
thf(115,plain,
! [SV13: $i,SV10: $i,SV14: $i,SV15: $i] :
( ( ( ! [SY50: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY50 )
| ! [SY51: $i] :
( ~ ( do @ SV15 @ SV14 @ SY51 @ SY50 )
| ( in @ SV10 @ SV13 @ SY51 @ SY50 ) ) ) )
= $false )
| ( ( userid @ u @ SV10 @ ( sK5_SY40 @ SV14 @ SV15 @ SV13 @ SV10 ) )
= $false )
| ( ( entry_box @ SV13 @ ( sK5_SY40 @ SV14 @ SV15 @ SV13 @ SV10 ) )
= $false )
| ( ( number @ SV13 @ one @ ( sK5_SY40 @ SV14 @ SV15 @ SV13 @ SV10 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[114]) ).
thf(116,plain,
! [SV15: $i,SV14: $i,SV10: $i,SV13: $i] :
( ( ( ~ ( mrel @ sK2_SX0 @ ( sK8_SY50 @ SV13 @ SV10 @ SV14 @ SV15 ) )
| ! [SY54: $i] :
( ~ ( do @ SV15 @ SV14 @ SY54 @ ( sK8_SY50 @ SV13 @ SV10 @ SV14 @ SV15 ) )
| ( in @ SV10 @ SV13 @ SY54 @ ( sK8_SY50 @ SV13 @ SV10 @ SV14 @ SV15 ) ) ) )
= $false )
| ( ( userid @ u @ SV10 @ ( sK5_SY40 @ SV14 @ SV15 @ SV13 @ SV10 ) )
= $false )
| ( ( entry_box @ SV13 @ ( sK5_SY40 @ SV14 @ SV15 @ SV13 @ SV10 ) )
= $false )
| ( ( number @ SV13 @ one @ ( sK5_SY40 @ SV14 @ SV15 @ SV13 @ SV10 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[115]) ).
thf(117,plain,
! [SV15: $i,SV14: $i,SV10: $i,SV13: $i] :
( ( ( ~ ( mrel @ sK2_SX0 @ ( sK8_SY50 @ SV13 @ SV10 @ SV14 @ SV15 ) ) )
= $false )
| ( ( userid @ u @ SV10 @ ( sK5_SY40 @ SV14 @ SV15 @ SV13 @ SV10 ) )
= $false )
| ( ( entry_box @ SV13 @ ( sK5_SY40 @ SV14 @ SV15 @ SV13 @ SV10 ) )
= $false )
| ( ( number @ SV13 @ one @ ( sK5_SY40 @ SV14 @ SV15 @ SV13 @ SV10 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[116]) ).
thf(118,plain,
! [SV10: $i,SV13: $i,SV14: $i,SV15: $i] :
( ( ( ! [SY54: $i] :
( ~ ( do @ SV15 @ SV14 @ SY54 @ ( sK8_SY50 @ SV13 @ SV10 @ SV14 @ SV15 ) )
| ( in @ SV10 @ SV13 @ SY54 @ ( sK8_SY50 @ SV13 @ SV10 @ SV14 @ SV15 ) ) ) )
= $false )
| ( ( userid @ u @ SV10 @ ( sK5_SY40 @ SV14 @ SV15 @ SV13 @ SV10 ) )
= $false )
| ( ( entry_box @ SV13 @ ( sK5_SY40 @ SV14 @ SV15 @ SV13 @ SV10 ) )
= $false )
| ( ( number @ SV13 @ one @ ( sK5_SY40 @ SV14 @ SV15 @ SV13 @ SV10 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[116]) ).
thf(119,plain,
! [SV15: $i,SV14: $i,SV10: $i,SV13: $i] :
( ( ( mrel @ sK2_SX0 @ ( sK8_SY50 @ SV13 @ SV10 @ SV14 @ SV15 ) )
= $true )
| ( ( userid @ u @ SV10 @ ( sK5_SY40 @ SV14 @ SV15 @ SV13 @ SV10 ) )
= $false )
| ( ( entry_box @ SV13 @ ( sK5_SY40 @ SV14 @ SV15 @ SV13 @ SV10 ) )
= $false )
| ( ( number @ SV13 @ one @ ( sK5_SY40 @ SV14 @ SV15 @ SV13 @ SV10 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[117]) ).
thf(120,plain,
! [SV13: $i,SV10: $i,SV14: $i,SV15: $i] :
( ( ( ~ ( do @ SV15 @ SV14 @ ( sK9_SY54 @ SV10 @ SV13 @ SV14 @ SV15 ) @ ( sK8_SY50 @ SV13 @ SV10 @ SV14 @ SV15 ) )
| ( in @ SV10 @ SV13 @ ( sK9_SY54 @ SV10 @ SV13 @ SV14 @ SV15 ) @ ( sK8_SY50 @ SV13 @ SV10 @ SV14 @ SV15 ) ) )
= $false )
| ( ( userid @ u @ SV10 @ ( sK5_SY40 @ SV14 @ SV15 @ SV13 @ SV10 ) )
= $false )
| ( ( entry_box @ SV13 @ ( sK5_SY40 @ SV14 @ SV15 @ SV13 @ SV10 ) )
= $false )
| ( ( number @ SV13 @ one @ ( sK5_SY40 @ SV14 @ SV15 @ SV13 @ SV10 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[118]) ).
thf(121,plain,
! [SV13: $i,SV10: $i,SV14: $i,SV15: $i] :
( ( ( ~ ( do @ SV15 @ SV14 @ ( sK9_SY54 @ SV10 @ SV13 @ SV14 @ SV15 ) @ ( sK8_SY50 @ SV13 @ SV10 @ SV14 @ SV15 ) ) )
= $false )
| ( ( userid @ u @ SV10 @ ( sK5_SY40 @ SV14 @ SV15 @ SV13 @ SV10 ) )
= $false )
| ( ( entry_box @ SV13 @ ( sK5_SY40 @ SV14 @ SV15 @ SV13 @ SV10 ) )
= $false )
| ( ( number @ SV13 @ one @ ( sK5_SY40 @ SV14 @ SV15 @ SV13 @ SV10 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[120]) ).
thf(122,plain,
! [SV15: $i,SV14: $i,SV13: $i,SV10: $i] :
( ( ( in @ SV10 @ SV13 @ ( sK9_SY54 @ SV10 @ SV13 @ SV14 @ SV15 ) @ ( sK8_SY50 @ SV13 @ SV10 @ SV14 @ SV15 ) )
= $false )
| ( ( userid @ u @ SV10 @ ( sK5_SY40 @ SV14 @ SV15 @ SV13 @ SV10 ) )
= $false )
| ( ( entry_box @ SV13 @ ( sK5_SY40 @ SV14 @ SV15 @ SV13 @ SV10 ) )
= $false )
| ( ( number @ SV13 @ one @ ( sK5_SY40 @ SV14 @ SV15 @ SV13 @ SV10 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[120]) ).
thf(123,plain,
! [SV13: $i,SV10: $i,SV14: $i,SV15: $i] :
( ( ( do @ SV15 @ SV14 @ ( sK9_SY54 @ SV10 @ SV13 @ SV14 @ SV15 ) @ ( sK8_SY50 @ SV13 @ SV10 @ SV14 @ SV15 ) )
= $true )
| ( ( userid @ u @ SV10 @ ( sK5_SY40 @ SV14 @ SV15 @ SV13 @ SV10 ) )
= $false )
| ( ( entry_box @ SV13 @ ( sK5_SY40 @ SV14 @ SV15 @ SV13 @ SV10 ) )
= $false )
| ( ( number @ SV13 @ one @ ( sK5_SY40 @ SV14 @ SV15 @ SV13 @ SV10 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[121]) ).
thf(124,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[20,123,122,119,112,110,106,96,77,76,65,64,53,41]) ).
thf(125,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[124]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NLP266^4 : TPTP v8.1.0. Released v8.1.0.
% 0.07/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.14/0.34 % Computer : n029.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Fri Jul 1 12:53:54 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.14/0.39
% 0.14/0.39 No.of.Axioms: 5
% 0.14/0.39
% 0.14/0.39 Length.of.Defs: 1574
% 0.14/0.39
% 0.14/0.39 Contains.Choice.Funs: false
% 0.21/0.42 (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:7,loop_count:0,foatp_calls:0,translation:fof_full)..........
% 0.45/0.62
% 0.45/0.62 ********************************
% 0.45/0.62 * All subproblems solved! *
% 0.45/0.62 ********************************
% 0.45/0.62 % 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:124,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.46/0.63
% 0.46/0.63 %**** Beginning of derivation protocol ****
% 0.46/0.63 % SZS output start CNFRefutation
% See solution above
% 0.46/0.63
% 0.46/0.63 %**** End of derivation protocol ****
% 0.46/0.63 %**** no. of clauses in derivation: 125 ****
% 0.46/0.63 %**** clause counter: 124 ****
% 0.46/0.63
% 0.46/0.63 % 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:124,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------