TSTP Solution File: PLA053^18 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : PLA053^18 : 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 : n023.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 17:25:58 EDT 2022
% Result : Theorem 0.22s 0.45s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 40
% Syntax : Number of formulae : 148 ( 59 unt; 23 typ; 10 def)
% Number of atoms : 1021 ( 245 equ; 0 cnn)
% Maximal formula atoms : 10 ( 8 avg)
% Number of connectives : 1855 ( 452 ~; 337 |; 4 &;1057 @)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 3 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 69 ( 69 >; 0 *; 0 +; 0 <<)
% Number of symbols : 25 ( 22 usr; 6 con; 0-3 aty)
% Number of variables : 278 ( 41 ^ 234 !; 3 ?; 278 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_mworld,type,
mworld: $tType ).
thf(tp_bomb,type,
bomb: $i > mworld > $o ).
thf(tp_defused,type,
defused: $i > mworld > $o ).
thf(tp_eiw_di,type,
eiw_di: $i > mworld > $o ).
thf(tp_h,type,
h: $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_sK1_X,type,
sK1_X: mworld > $i ).
thf(tp_sK2_SX0,type,
sK2_SX0: $i ).
thf(tp_sK3_SX0,type,
sK3_SX0: mworld ).
thf(tp_sK4_SY11,type,
sK4_SY11: $i ).
thf(tp_sK5_SY3,type,
sK5_SY3: mworld > $i ).
thf(tp_sK6_SY13,type,
sK6_SY13: $i > mworld > $i ).
thf(mand,definition,
( mand
= ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
( ( A @ W )
& ( B @ W ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mand) ).
thf(mbox,definition,
( mbox
= ( ^ [Phi: mworld > $o,W: mworld] :
! [V: mworld] :
( ( mrel @ W @ V )
=> ( Phi @ V ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mbox) ).
thf(mdia,definition,
( mdia
= ( ^ [Phi: mworld > $o,W: mworld] :
? [V: mworld] :
( ( mrel @ W @ V )
& ( Phi @ V ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mdia) ).
thf(mequiv,definition,
( mequiv
= ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
( ( A @ W )
<=> ( B @ W ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mequiv) ).
thf(mexists_di,definition,
( mexists_di
= ( ^ [A: $i > mworld > $o,W: mworld] :
? [X: $i] :
( ( eiw_di @ X @ W )
& ( A @ X @ W ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mexists_di) ).
thf(mforall_di,definition,
( mforall_di
= ( ^ [A: $i > mworld > $o,W: mworld] :
! [X: $i] :
( ( eiw_di @ X @ W )
=> ( A @ X @ W ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mforall_di) ).
thf(mimplies,definition,
( mimplies
= ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
( ( A @ W )
=> ( B @ W ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mimplies) ).
thf(mlocal,definition,
( mlocal
= ( ^ [Phi: mworld > $o] : ( Phi @ mactual ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mlocal) ).
thf(mnot,definition,
( mnot
= ( ^ [A: mworld > $o,W: mworld] :
~ ( A @ W ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mnot) ).
thf(mor,definition,
( mor
= ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
( ( A @ W )
| ( B @ W ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mor) ).
thf(1,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [X: $i] :
( mexists_di
@ ^ [D: $i] : ( mbox @ ( mimplies @ ( mand @ ( bomb @ X ) @ ( h @ D ) ) @ ( defused @ X ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
thf(2,axiom,
( mlocal
@ ( mexists_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [X: $i] : ( mimplies @ ( mand @ ( bomb @ X ) @ ( h @ A ) ) @ ( mbox @ ( bomb @ X ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
thf(3,axiom,
( mlocal
@ ( mbox
@ ( mexists_di
@ ^ [B: $i] : ( bomb @ B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
thf(4,axiom,
! [W: mworld,V: mworld,X: $i] :
( ( ( eiw_di @ X @ W )
& ( mrel @ W @ V ) )
=> ( eiw_di @ X @ V ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',eiw_di_cumul) ).
thf(5,axiom,
! [W: mworld] :
? [X: $i] : ( eiw_di @ X @ W ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',eiw_di_nonempty) ).
thf(6,axiom,
! [W: mworld,V: mworld] : ( mrel @ W @ V ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mrel_universal) ).
thf(7,conjecture,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [X: $i] :
( mexists_di
@ ^ [D: $i] : ( mimplies @ ( mand @ ( bomb @ X ) @ ( h @ D ) ) @ ( defused @ X ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
thf(8,negated_conjecture,
( ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [X: $i] :
( mexists_di
@ ^ [D: $i] : ( mimplies @ ( mand @ ( bomb @ X ) @ ( h @ D ) ) @ ( defused @ X ) ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[7]) ).
thf(9,plain,
( ( ~ ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [X: $i] :
( mexists_di
@ ^ [D: $i] : ( mimplies @ ( mand @ ( bomb @ X ) @ ( h @ D ) ) @ ( defused @ X ) ) ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[8]) ).
thf(10,plain,
( ( ! [W: mworld,V: mworld,X: $i] :
( ~ ( eiw_di @ X @ W )
| ~ ( mrel @ W @ V )
| ( eiw_di @ X @ V ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[4]) ).
thf(11,plain,
( ( ! [W: mworld] : ( eiw_di @ ( sK1_X @ W ) @ W ) )
= $true ),
inference(extcnf_combined,[status(esa)],[5]) ).
thf(12,plain,
( ( ! [W: mworld,V: mworld] : ( mrel @ W @ V ) )
= $true ),
inference(copy,[status(thm)],[6]) ).
thf(13,plain,
( ( ! [W: mworld] : ( eiw_di @ ( sK1_X @ W ) @ W ) )
= $true ),
inference(copy,[status(thm)],[11]) ).
thf(14,plain,
( ( ! [W: mworld,V: mworld,X: $i] :
( ~ ( eiw_di @ X @ W )
| ~ ( mrel @ W @ V )
| ( eiw_di @ X @ V ) ) )
= $true ),
inference(copy,[status(thm)],[10]) ).
thf(15,plain,
( ( mlocal
@ ( mbox
@ ( mexists_di
@ ^ [B: $i] : ( bomb @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[3]) ).
thf(16,plain,
( ( mlocal
@ ( mexists_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [X: $i] : ( mimplies @ ( mand @ ( bomb @ X ) @ ( h @ A ) ) @ ( mbox @ ( bomb @ X ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[2]) ).
thf(17,plain,
( ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [X: $i] :
( mexists_di
@ ^ [D: $i] : ( mbox @ ( mimplies @ ( mand @ ( bomb @ X ) @ ( h @ D ) ) @ ( defused @ X ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1]) ).
thf(18,plain,
( ( ~ ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [X: $i] :
( mexists_di
@ ^ [D: $i] : ( mimplies @ ( mand @ ( bomb @ X ) @ ( h @ D ) ) @ ( defused @ X ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(19,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ( bomb @ SX1 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[15,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(20,plain,
( ( ~ ! [SX0: $i] :
~ ~ ( ~ ( eiw_di @ SX0 @ mactual )
| ~ ! [SX1: mworld] :
( ~ ( mrel @ mactual @ SX1 )
| ! [SX2: $i] :
( ~ ( eiw_di @ SX2 @ SX1 )
| ~ ~ ( ~ ( bomb @ SX2 @ SX1 )
| ~ ( h @ SX0 @ SX1 ) )
| ! [SX3: mworld] :
( ~ ( mrel @ SX1 @ SX3 )
| ( bomb @ SX2 @ SX3 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[16,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(21,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i] :
( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( eiw_di @ SX2 @ SX0 )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SX0 @ SX3 )
| ~ ~ ( ~ ( bomb @ SX1 @ SX3 )
| ~ ( h @ SX2 @ SX3 ) )
| ( defused @ SX1 @ SX3 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[17,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(22,plain,
( ( ~ ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i] :
( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( eiw_di @ SX2 @ SX0 )
| ~ ( ~ ~ ( ~ ( bomb @ SX1 @ SX0 )
| ~ ( h @ SX2 @ SX0 ) )
| ( defused @ SX1 @ SX0 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[18,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(23,plain,
! [SV1: mworld] :
( ( ! [SY0: mworld] : ( mrel @ SV1 @ SY0 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[12]) ).
thf(24,plain,
! [SV2: mworld] :
( ( eiw_di @ ( sK1_X @ SV2 ) @ SV2 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[13]) ).
thf(25,plain,
! [SV3: mworld] :
( ( ! [SY1: mworld,SY2: $i] :
( ~ ( eiw_di @ SY2 @ SV3 )
| ~ ( mrel @ SV3 @ SY1 )
| ( eiw_di @ SY2 @ SY1 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[14]) ).
thf(26,plain,
! [SV4: mworld] :
( ( ~ ( mrel @ mactual @ SV4 )
| ~ ! [SY3: $i] :
~ ~ ( ~ ( eiw_di @ SY3 @ SV4 )
| ~ ( bomb @ SY3 @ SV4 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[19]) ).
thf(27,plain,
( ( ! [SX0: $i] :
~ ~ ( ~ ( eiw_di @ SX0 @ mactual )
| ~ ! [SX1: mworld] :
( ~ ( mrel @ mactual @ SX1 )
| ! [SX2: $i] :
( ~ ( eiw_di @ SX2 @ SX1 )
| ~ ~ ( ~ ( bomb @ SX2 @ SX1 )
| ~ ( h @ SX0 @ SX1 ) )
| ! [SX3: mworld] :
( ~ ( mrel @ SX1 @ SX3 )
| ( bomb @ SX2 @ SX3 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[20]) ).
thf(28,plain,
! [SV5: mworld] :
( ( ~ ( mrel @ mactual @ SV5 )
| ! [SY4: $i] :
( ~ ( eiw_di @ SY4 @ SV5 )
| ~ ! [SY5: $i] :
~ ~ ( ~ ( eiw_di @ SY5 @ SV5 )
| ~ ! [SY6: mworld] :
( ~ ( mrel @ SV5 @ SY6 )
| ~ ~ ( ~ ( bomb @ SY4 @ SY6 )
| ~ ( h @ SY5 @ SY6 ) )
| ( defused @ SY4 @ SY6 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[21]) ).
thf(29,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i] :
( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( eiw_di @ SX2 @ SX0 )
| ~ ( ~ ~ ( ~ ( bomb @ SX1 @ SX0 )
| ~ ( h @ SX2 @ SX0 ) )
| ( defused @ SX1 @ SX0 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[22]) ).
thf(30,plain,
! [SV6: mworld,SV1: mworld] :
( ( mrel @ SV1 @ SV6 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[23]) ).
thf(31,plain,
! [SV7: mworld,SV3: mworld] :
( ( ! [SY7: $i] :
( ~ ( eiw_di @ SY7 @ SV3 )
| ~ ( mrel @ SV3 @ SV7 )
| ( eiw_di @ SY7 @ SV7 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[25]) ).
thf(32,plain,
! [SV4: mworld] :
( ( ( ~ ( mrel @ mactual @ SV4 ) )
= $true )
| ( ( ~ ! [SY3: $i] :
~ ~ ( ~ ( eiw_di @ SY3 @ SV4 )
| ~ ( bomb @ SY3 @ SV4 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[26]) ).
thf(33,plain,
( ( ~ ~ ( ~ ( eiw_di @ sK2_SX0 @ mactual )
| ~ ! [SY8: mworld] :
( ~ ( mrel @ mactual @ SY8 )
| ! [SY9: $i] :
( ~ ( eiw_di @ SY9 @ SY8 )
| ~ ~ ( ~ ( bomb @ SY9 @ SY8 )
| ~ ( h @ sK2_SX0 @ SY8 ) )
| ! [SX3: mworld] :
( ~ ( mrel @ SY8 @ SX3 )
| ( bomb @ SY9 @ SX3 ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[27]) ).
thf(34,plain,
! [SV5: mworld] :
( ( ( ~ ( mrel @ mactual @ SV5 ) )
= $true )
| ( ( ! [SY4: $i] :
( ~ ( eiw_di @ SY4 @ SV5 )
| ~ ! [SY5: $i] :
~ ~ ( ~ ( eiw_di @ SY5 @ SV5 )
| ~ ! [SY6: mworld] :
( ~ ( mrel @ SV5 @ SY6 )
| ~ ~ ( ~ ( bomb @ SY4 @ SY6 )
| ~ ( h @ SY5 @ SY6 ) )
| ( defused @ SY4 @ SY6 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[28]) ).
thf(35,plain,
( ( ~ ( mrel @ mactual @ sK3_SX0 )
| ! [SY11: $i] :
( ~ ( eiw_di @ SY11 @ sK3_SX0 )
| ~ ! [SY12: $i] :
~ ~ ( ~ ( eiw_di @ SY12 @ sK3_SX0 )
| ~ ( ~ ~ ( ~ ( bomb @ SY11 @ sK3_SX0 )
| ~ ( h @ SY12 @ sK3_SX0 ) )
| ( defused @ SY11 @ sK3_SX0 ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[29]) ).
thf(36,plain,
! [SV7: mworld,SV3: mworld,SV8: $i] :
( ( ~ ( eiw_di @ SV8 @ SV3 )
| ~ ( mrel @ SV3 @ SV7 )
| ( eiw_di @ SV8 @ SV7 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[31]) ).
thf(37,plain,
! [SV4: mworld] :
( ( ( mrel @ mactual @ SV4 )
= $false )
| ( ( ~ ! [SY3: $i] :
~ ~ ( ~ ( eiw_di @ SY3 @ SV4 )
| ~ ( bomb @ SY3 @ SV4 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[32]) ).
thf(38,plain,
( ( ~ ( ~ ( eiw_di @ sK2_SX0 @ mactual )
| ~ ! [SY8: mworld] :
( ~ ( mrel @ mactual @ SY8 )
| ! [SY9: $i] :
( ~ ( eiw_di @ SY9 @ SY8 )
| ~ ~ ( ~ ( bomb @ SY9 @ SY8 )
| ~ ( h @ sK2_SX0 @ SY8 ) )
| ! [SX3: mworld] :
( ~ ( mrel @ SY8 @ SX3 )
| ( bomb @ SY9 @ SX3 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[33]) ).
thf(39,plain,
! [SV5: mworld] :
( ( ( mrel @ mactual @ SV5 )
= $false )
| ( ( ! [SY4: $i] :
( ~ ( eiw_di @ SY4 @ SV5 )
| ~ ! [SY5: $i] :
~ ~ ( ~ ( eiw_di @ SY5 @ SV5 )
| ~ ! [SY6: mworld] :
( ~ ( mrel @ SV5 @ SY6 )
| ~ ~ ( ~ ( bomb @ SY4 @ SY6 )
| ~ ( h @ SY5 @ SY6 ) )
| ( defused @ SY4 @ SY6 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[34]) ).
thf(40,plain,
( ( ~ ( mrel @ mactual @ sK3_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[35]) ).
thf(41,plain,
( ( ! [SY11: $i] :
( ~ ( eiw_di @ SY11 @ sK3_SX0 )
| ~ ! [SY12: $i] :
~ ~ ( ~ ( eiw_di @ SY12 @ sK3_SX0 )
| ~ ( ~ ~ ( ~ ( bomb @ SY11 @ sK3_SX0 )
| ~ ( h @ SY12 @ sK3_SX0 ) )
| ( defused @ SY11 @ sK3_SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[35]) ).
thf(42,plain,
! [SV7: mworld,SV3: mworld,SV8: $i] :
( ( ( ~ ( eiw_di @ SV8 @ SV3 )
| ~ ( mrel @ SV3 @ SV7 ) )
= $true )
| ( ( eiw_di @ SV8 @ SV7 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[36]) ).
thf(43,plain,
! [SV4: mworld] :
( ( ( ! [SY3: $i] :
~ ~ ( ~ ( eiw_di @ SY3 @ SV4 )
| ~ ( bomb @ SY3 @ SV4 ) ) )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[37]) ).
thf(44,plain,
( ( ~ ( eiw_di @ sK2_SX0 @ mactual )
| ~ ! [SY8: mworld] :
( ~ ( mrel @ mactual @ SY8 )
| ! [SY9: $i] :
( ~ ( eiw_di @ SY9 @ SY8 )
| ~ ~ ( ~ ( bomb @ SY9 @ SY8 )
| ~ ( h @ sK2_SX0 @ SY8 ) )
| ! [SX3: mworld] :
( ~ ( mrel @ SY8 @ SX3 )
| ( bomb @ SY9 @ SX3 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[38]) ).
thf(45,plain,
! [SV5: mworld,SV9: $i] :
( ( ( ~ ( eiw_di @ SV9 @ SV5 )
| ~ ! [SY13: $i] :
~ ~ ( ~ ( eiw_di @ SY13 @ SV5 )
| ~ ! [SY14: mworld] :
( ~ ( mrel @ SV5 @ SY14 )
| ~ ~ ( ~ ( bomb @ SV9 @ SY14 )
| ~ ( h @ SY13 @ SY14 ) )
| ( defused @ SV9 @ SY14 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[39]) ).
thf(46,plain,
( ( mrel @ mactual @ sK3_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[40]) ).
thf(47,plain,
( ( ~ ( eiw_di @ sK4_SY11 @ sK3_SX0 )
| ~ ! [SY15: $i] :
~ ~ ( ~ ( eiw_di @ SY15 @ sK3_SX0 )
| ~ ( ~ ~ ( ~ ( bomb @ sK4_SY11 @ sK3_SX0 )
| ~ ( h @ SY15 @ sK3_SX0 ) )
| ( defused @ sK4_SY11 @ sK3_SX0 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[41]) ).
thf(48,plain,
! [SV7: mworld,SV3: mworld,SV8: $i] :
( ( ( ~ ( eiw_di @ SV8 @ SV3 ) )
= $true )
| ( ( ~ ( mrel @ SV3 @ SV7 ) )
= $true )
| ( ( eiw_di @ SV8 @ SV7 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[42]) ).
thf(49,plain,
! [SV4: mworld] :
( ( ( ~ ~ ( ~ ( eiw_di @ ( sK5_SY3 @ SV4 ) @ SV4 )
| ~ ( bomb @ ( sK5_SY3 @ SV4 ) @ SV4 ) ) )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[43]) ).
thf(50,plain,
( ( ~ ( eiw_di @ sK2_SX0 @ mactual ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[44]) ).
thf(51,plain,
( ( ~ ! [SY8: mworld] :
( ~ ( mrel @ mactual @ SY8 )
| ! [SY9: $i] :
( ~ ( eiw_di @ SY9 @ SY8 )
| ~ ~ ( ~ ( bomb @ SY9 @ SY8 )
| ~ ( h @ sK2_SX0 @ SY8 ) )
| ! [SX3: mworld] :
( ~ ( mrel @ SY8 @ SX3 )
| ( bomb @ SY9 @ SX3 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[44]) ).
thf(52,plain,
! [SV5: mworld,SV9: $i] :
( ( ( ~ ( eiw_di @ SV9 @ SV5 ) )
= $true )
| ( ( ~ ! [SY13: $i] :
~ ~ ( ~ ( eiw_di @ SY13 @ SV5 )
| ~ ! [SY14: mworld] :
( ~ ( mrel @ SV5 @ SY14 )
| ~ ~ ( ~ ( bomb @ SV9 @ SY14 )
| ~ ( h @ SY13 @ SY14 ) )
| ( defused @ SV9 @ SY14 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[45]) ).
thf(53,plain,
( ( ~ ( eiw_di @ sK4_SY11 @ sK3_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[47]) ).
thf(54,plain,
( ( ~ ! [SY15: $i] :
~ ~ ( ~ ( eiw_di @ SY15 @ sK3_SX0 )
| ~ ( ~ ~ ( ~ ( bomb @ sK4_SY11 @ sK3_SX0 )
| ~ ( h @ SY15 @ sK3_SX0 ) )
| ( defused @ sK4_SY11 @ sK3_SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[47]) ).
thf(55,plain,
! [SV7: mworld,SV3: mworld,SV8: $i] :
( ( ( eiw_di @ SV8 @ SV3 )
= $false )
| ( ( ~ ( mrel @ SV3 @ SV7 ) )
= $true )
| ( ( eiw_di @ SV8 @ SV7 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[48]) ).
thf(56,plain,
! [SV4: mworld] :
( ( ( ~ ( ~ ( eiw_di @ ( sK5_SY3 @ SV4 ) @ SV4 )
| ~ ( bomb @ ( sK5_SY3 @ SV4 ) @ SV4 ) ) )
= $true )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[49]) ).
thf(57,plain,
( ( eiw_di @ sK2_SX0 @ mactual )
= $true ),
inference(extcnf_not_neg,[status(thm)],[50]) ).
thf(58,plain,
( ( ! [SY8: mworld] :
( ~ ( mrel @ mactual @ SY8 )
| ! [SY9: $i] :
( ~ ( eiw_di @ SY9 @ SY8 )
| ~ ~ ( ~ ( bomb @ SY9 @ SY8 )
| ~ ( h @ sK2_SX0 @ SY8 ) )
| ! [SX3: mworld] :
( ~ ( mrel @ SY8 @ SX3 )
| ( bomb @ SY9 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[51]) ).
thf(59,plain,
! [SV5: mworld,SV9: $i] :
( ( ( eiw_di @ SV9 @ SV5 )
= $false )
| ( ( ~ ! [SY13: $i] :
~ ~ ( ~ ( eiw_di @ SY13 @ SV5 )
| ~ ! [SY14: mworld] :
( ~ ( mrel @ SV5 @ SY14 )
| ~ ~ ( ~ ( bomb @ SV9 @ SY14 )
| ~ ( h @ SY13 @ SY14 ) )
| ( defused @ SV9 @ SY14 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[52]) ).
thf(60,plain,
( ( eiw_di @ sK4_SY11 @ sK3_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[53]) ).
thf(61,plain,
( ( ! [SY15: $i] :
~ ~ ( ~ ( eiw_di @ SY15 @ sK3_SX0 )
| ~ ( ~ ~ ( ~ ( bomb @ sK4_SY11 @ sK3_SX0 )
| ~ ( h @ SY15 @ sK3_SX0 ) )
| ( defused @ sK4_SY11 @ sK3_SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[54]) ).
thf(62,plain,
! [SV8: $i,SV7: mworld,SV3: mworld] :
( ( ( mrel @ SV3 @ SV7 )
= $false )
| ( ( eiw_di @ SV8 @ SV3 )
= $false )
| ( ( eiw_di @ SV8 @ SV7 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[55]) ).
thf(63,plain,
! [SV4: mworld] :
( ( ( ~ ( eiw_di @ ( sK5_SY3 @ SV4 ) @ SV4 )
| ~ ( bomb @ ( sK5_SY3 @ SV4 ) @ SV4 ) )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[56]) ).
thf(64,plain,
! [SV10: mworld] :
( ( ~ ( mrel @ mactual @ SV10 )
| ! [SY16: $i] :
( ~ ( eiw_di @ SY16 @ SV10 )
| ~ ~ ( ~ ( bomb @ SY16 @ SV10 )
| ~ ( h @ sK2_SX0 @ SV10 ) )
| ! [SY17: mworld] :
( ~ ( mrel @ SV10 @ SY17 )
| ( bomb @ SY16 @ SY17 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[58]) ).
thf(65,plain,
! [SV9: $i,SV5: mworld] :
( ( ( ! [SY13: $i] :
~ ~ ( ~ ( eiw_di @ SY13 @ SV5 )
| ~ ! [SY14: mworld] :
( ~ ( mrel @ SV5 @ SY14 )
| ~ ~ ( ~ ( bomb @ SV9 @ SY14 )
| ~ ( h @ SY13 @ SY14 ) )
| ( defused @ SV9 @ SY14 ) ) ) )
= $false )
| ( ( eiw_di @ SV9 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[59]) ).
thf(66,plain,
! [SV11: $i] :
( ( ~ ~ ( ~ ( eiw_di @ SV11 @ sK3_SX0 )
| ~ ( ~ ~ ( ~ ( bomb @ sK4_SY11 @ sK3_SX0 )
| ~ ( h @ SV11 @ sK3_SX0 ) )
| ( defused @ sK4_SY11 @ sK3_SX0 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[61]) ).
thf(67,plain,
! [SV4: mworld] :
( ( ( ~ ( eiw_di @ ( sK5_SY3 @ SV4 ) @ SV4 ) )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[63]) ).
thf(68,plain,
! [SV4: mworld] :
( ( ( ~ ( bomb @ ( sK5_SY3 @ SV4 ) @ SV4 ) )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[63]) ).
thf(69,plain,
! [SV10: mworld] :
( ( ( ~ ( mrel @ mactual @ SV10 ) )
= $true )
| ( ( ! [SY16: $i] :
( ~ ( eiw_di @ SY16 @ SV10 )
| ~ ~ ( ~ ( bomb @ SY16 @ SV10 )
| ~ ( h @ sK2_SX0 @ SV10 ) )
| ! [SY17: mworld] :
( ~ ( mrel @ SV10 @ SY17 )
| ( bomb @ SY16 @ SY17 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[64]) ).
thf(70,plain,
! [SV5: mworld,SV9: $i] :
( ( ( ~ ~ ( ~ ( eiw_di @ ( sK6_SY13 @ SV9 @ SV5 ) @ SV5 )
| ~ ! [SY18: mworld] :
( ~ ( mrel @ SV5 @ SY18 )
| ~ ~ ( ~ ( bomb @ SV9 @ SY18 )
| ~ ( h @ ( sK6_SY13 @ SV9 @ SV5 ) @ SY18 ) )
| ( defused @ SV9 @ SY18 ) ) ) )
= $false )
| ( ( eiw_di @ SV9 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[65]) ).
thf(71,plain,
! [SV11: $i] :
( ( ~ ( ~ ( eiw_di @ SV11 @ sK3_SX0 )
| ~ ( ~ ~ ( ~ ( bomb @ sK4_SY11 @ sK3_SX0 )
| ~ ( h @ SV11 @ sK3_SX0 ) )
| ( defused @ sK4_SY11 @ sK3_SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[66]) ).
thf(72,plain,
! [SV4: mworld] :
( ( ( eiw_di @ ( sK5_SY3 @ SV4 ) @ SV4 )
= $true )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[67]) ).
thf(73,plain,
! [SV4: mworld] :
( ( ( bomb @ ( sK5_SY3 @ SV4 ) @ SV4 )
= $true )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[68]) ).
thf(74,plain,
! [SV10: mworld] :
( ( ( mrel @ mactual @ SV10 )
= $false )
| ( ( ! [SY16: $i] :
( ~ ( eiw_di @ SY16 @ SV10 )
| ~ ~ ( ~ ( bomb @ SY16 @ SV10 )
| ~ ( h @ sK2_SX0 @ SV10 ) )
| ! [SY17: mworld] :
( ~ ( mrel @ SV10 @ SY17 )
| ( bomb @ SY16 @ SY17 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[69]) ).
thf(75,plain,
! [SV5: mworld,SV9: $i] :
( ( ( ~ ( ~ ( eiw_di @ ( sK6_SY13 @ SV9 @ SV5 ) @ SV5 )
| ~ ! [SY18: mworld] :
( ~ ( mrel @ SV5 @ SY18 )
| ~ ~ ( ~ ( bomb @ SV9 @ SY18 )
| ~ ( h @ ( sK6_SY13 @ SV9 @ SV5 ) @ SY18 ) )
| ( defused @ SV9 @ SY18 ) ) ) )
= $true )
| ( ( eiw_di @ SV9 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[70]) ).
thf(76,plain,
! [SV11: $i] :
( ( ~ ( eiw_di @ SV11 @ sK3_SX0 )
| ~ ( ~ ~ ( ~ ( bomb @ sK4_SY11 @ sK3_SX0 )
| ~ ( h @ SV11 @ sK3_SX0 ) )
| ( defused @ sK4_SY11 @ sK3_SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[71]) ).
thf(77,plain,
! [SV10: mworld,SV12: $i] :
( ( ( ~ ( eiw_di @ SV12 @ SV10 )
| ~ ~ ( ~ ( bomb @ SV12 @ SV10 )
| ~ ( h @ sK2_SX0 @ SV10 ) )
| ! [SY19: mworld] :
( ~ ( mrel @ SV10 @ SY19 )
| ( bomb @ SV12 @ SY19 ) ) )
= $true )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[74]) ).
thf(78,plain,
! [SV5: mworld,SV9: $i] :
( ( ( ~ ( eiw_di @ ( sK6_SY13 @ SV9 @ SV5 ) @ SV5 )
| ~ ! [SY18: mworld] :
( ~ ( mrel @ SV5 @ SY18 )
| ~ ~ ( ~ ( bomb @ SV9 @ SY18 )
| ~ ( h @ ( sK6_SY13 @ SV9 @ SV5 ) @ SY18 ) )
| ( defused @ SV9 @ SY18 ) ) )
= $false )
| ( ( eiw_di @ SV9 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[75]) ).
thf(79,plain,
! [SV11: $i] :
( ( ( ~ ( eiw_di @ SV11 @ sK3_SX0 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( bomb @ sK4_SY11 @ sK3_SX0 )
| ~ ( h @ SV11 @ sK3_SX0 ) )
| ( defused @ sK4_SY11 @ sK3_SX0 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[76]) ).
thf(80,plain,
! [SV10: mworld,SV12: $i] :
( ( ( ~ ( eiw_di @ SV12 @ SV10 ) )
= $true )
| ( ( ~ ~ ( ~ ( bomb @ SV12 @ SV10 )
| ~ ( h @ sK2_SX0 @ SV10 ) )
| ! [SY19: mworld] :
( ~ ( mrel @ SV10 @ SY19 )
| ( bomb @ SV12 @ SY19 ) ) )
= $true )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[77]) ).
thf(81,plain,
! [SV5: mworld,SV9: $i] :
( ( ( ~ ( eiw_di @ ( sK6_SY13 @ SV9 @ SV5 ) @ SV5 ) )
= $false )
| ( ( eiw_di @ SV9 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[78]) ).
thf(82,plain,
! [SV9: $i,SV5: mworld] :
( ( ( ~ ! [SY18: mworld] :
( ~ ( mrel @ SV5 @ SY18 )
| ~ ~ ( ~ ( bomb @ SV9 @ SY18 )
| ~ ( h @ ( sK6_SY13 @ SV9 @ SV5 ) @ SY18 ) )
| ( defused @ SV9 @ SY18 ) ) )
= $false )
| ( ( eiw_di @ SV9 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[78]) ).
thf(83,plain,
! [SV11: $i] :
( ( ( eiw_di @ SV11 @ sK3_SX0 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( bomb @ sK4_SY11 @ sK3_SX0 )
| ~ ( h @ SV11 @ sK3_SX0 ) )
| ( defused @ sK4_SY11 @ sK3_SX0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[79]) ).
thf(84,plain,
! [SV10: mworld,SV12: $i] :
( ( ( eiw_di @ SV12 @ SV10 )
= $false )
| ( ( ~ ~ ( ~ ( bomb @ SV12 @ SV10 )
| ~ ( h @ sK2_SX0 @ SV10 ) )
| ! [SY19: mworld] :
( ~ ( mrel @ SV10 @ SY19 )
| ( bomb @ SV12 @ SY19 ) ) )
= $true )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[80]) ).
thf(85,plain,
! [SV5: mworld,SV9: $i] :
( ( ( eiw_di @ ( sK6_SY13 @ SV9 @ SV5 ) @ SV5 )
= $true )
| ( ( eiw_di @ SV9 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[81]) ).
thf(86,plain,
! [SV9: $i,SV5: mworld] :
( ( ( ! [SY18: mworld] :
( ~ ( mrel @ SV5 @ SY18 )
| ~ ~ ( ~ ( bomb @ SV9 @ SY18 )
| ~ ( h @ ( sK6_SY13 @ SV9 @ SV5 ) @ SY18 ) )
| ( defused @ SV9 @ SY18 ) ) )
= $true )
| ( ( eiw_di @ SV9 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[82]) ).
thf(87,plain,
! [SV11: $i] :
( ( ( ~ ~ ( ~ ( bomb @ sK4_SY11 @ sK3_SX0 )
| ~ ( h @ SV11 @ sK3_SX0 ) )
| ( defused @ sK4_SY11 @ sK3_SX0 ) )
= $false )
| ( ( eiw_di @ SV11 @ sK3_SX0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[83]) ).
thf(88,plain,
! [SV10: mworld,SV12: $i] :
( ( ( ~ ~ ( ~ ( bomb @ SV12 @ SV10 )
| ~ ( h @ sK2_SX0 @ SV10 ) ) )
= $true )
| ( ( ! [SY19: mworld] :
( ~ ( mrel @ SV10 @ SY19 )
| ( bomb @ SV12 @ SY19 ) ) )
= $true )
| ( ( eiw_di @ SV12 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[84]) ).
thf(89,plain,
! [SV9: $i,SV13: mworld,SV5: mworld] :
( ( ( ~ ( mrel @ SV5 @ SV13 )
| ~ ~ ( ~ ( bomb @ SV9 @ SV13 )
| ~ ( h @ ( sK6_SY13 @ SV9 @ SV5 ) @ SV13 ) )
| ( defused @ SV9 @ SV13 ) )
= $true )
| ( ( eiw_di @ SV9 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[86]) ).
thf(90,plain,
! [SV11: $i] :
( ( ( ~ ~ ( ~ ( bomb @ sK4_SY11 @ sK3_SX0 )
| ~ ( h @ SV11 @ sK3_SX0 ) ) )
= $false )
| ( ( eiw_di @ SV11 @ sK3_SX0 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[87]) ).
thf(91,plain,
! [SV11: $i] :
( ( ( defused @ sK4_SY11 @ sK3_SX0 )
= $false )
| ( ( eiw_di @ SV11 @ sK3_SX0 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[87]) ).
thf(92,plain,
! [SV10: mworld,SV12: $i] :
( ( ( ~ ( ~ ( bomb @ SV12 @ SV10 )
| ~ ( h @ sK2_SX0 @ SV10 ) ) )
= $false )
| ( ( ! [SY19: mworld] :
( ~ ( mrel @ SV10 @ SY19 )
| ( bomb @ SV12 @ SY19 ) ) )
= $true )
| ( ( eiw_di @ SV12 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[88]) ).
thf(93,plain,
! [SV9: $i,SV13: mworld,SV5: mworld] :
( ( ( ~ ( mrel @ SV5 @ SV13 ) )
= $true )
| ( ( ~ ~ ( ~ ( bomb @ SV9 @ SV13 )
| ~ ( h @ ( sK6_SY13 @ SV9 @ SV5 ) @ SV13 ) )
| ( defused @ SV9 @ SV13 ) )
= $true )
| ( ( eiw_di @ SV9 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[89]) ).
thf(94,plain,
! [SV11: $i] :
( ( ( ~ ( ~ ( bomb @ sK4_SY11 @ sK3_SX0 )
| ~ ( h @ SV11 @ sK3_SX0 ) ) )
= $true )
| ( ( eiw_di @ SV11 @ sK3_SX0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[90]) ).
thf(95,plain,
! [SV10: mworld,SV12: $i] :
( ( ( ~ ( bomb @ SV12 @ SV10 )
| ~ ( h @ sK2_SX0 @ SV10 ) )
= $true )
| ( ( ! [SY19: mworld] :
( ~ ( mrel @ SV10 @ SY19 )
| ( bomb @ SV12 @ SY19 ) ) )
= $true )
| ( ( eiw_di @ SV12 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[92]) ).
thf(96,plain,
! [SV9: $i,SV13: mworld,SV5: mworld] :
( ( ( mrel @ SV5 @ SV13 )
= $false )
| ( ( ~ ~ ( ~ ( bomb @ SV9 @ SV13 )
| ~ ( h @ ( sK6_SY13 @ SV9 @ SV5 ) @ SV13 ) )
| ( defused @ SV9 @ SV13 ) )
= $true )
| ( ( eiw_di @ SV9 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[93]) ).
thf(97,plain,
! [SV11: $i] :
( ( ( ~ ( bomb @ sK4_SY11 @ sK3_SX0 )
| ~ ( h @ SV11 @ sK3_SX0 ) )
= $false )
| ( ( eiw_di @ SV11 @ sK3_SX0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[94]) ).
thf(98,plain,
! [SV10: mworld,SV12: $i] :
( ( ( ~ ( bomb @ SV12 @ SV10 ) )
= $true )
| ( ( ~ ( h @ sK2_SX0 @ SV10 ) )
= $true )
| ( ( ! [SY19: mworld] :
( ~ ( mrel @ SV10 @ SY19 )
| ( bomb @ SV12 @ SY19 ) ) )
= $true )
| ( ( eiw_di @ SV12 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[95]) ).
thf(99,plain,
! [SV5: mworld,SV13: mworld,SV9: $i] :
( ( ( ~ ~ ( ~ ( bomb @ SV9 @ SV13 )
| ~ ( h @ ( sK6_SY13 @ SV9 @ SV5 ) @ SV13 ) ) )
= $true )
| ( ( defused @ SV9 @ SV13 )
= $true )
| ( ( mrel @ SV5 @ SV13 )
= $false )
| ( ( eiw_di @ SV9 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[96]) ).
thf(100,plain,
! [SV11: $i] :
( ( ( ~ ( bomb @ sK4_SY11 @ sK3_SX0 ) )
= $false )
| ( ( eiw_di @ SV11 @ sK3_SX0 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[97]) ).
thf(101,plain,
! [SV11: $i] :
( ( ( ~ ( h @ SV11 @ sK3_SX0 ) )
= $false )
| ( ( eiw_di @ SV11 @ sK3_SX0 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[97]) ).
thf(102,plain,
! [SV10: mworld,SV12: $i] :
( ( ( bomb @ SV12 @ SV10 )
= $false )
| ( ( ~ ( h @ sK2_SX0 @ SV10 ) )
= $true )
| ( ( ! [SY19: mworld] :
( ~ ( mrel @ SV10 @ SY19 )
| ( bomb @ SV12 @ SY19 ) ) )
= $true )
| ( ( eiw_di @ SV12 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[98]) ).
thf(103,plain,
! [SV5: mworld,SV13: mworld,SV9: $i] :
( ( ( ~ ( ~ ( bomb @ SV9 @ SV13 )
| ~ ( h @ ( sK6_SY13 @ SV9 @ SV5 ) @ SV13 ) ) )
= $false )
| ( ( defused @ SV9 @ SV13 )
= $true )
| ( ( mrel @ SV5 @ SV13 )
= $false )
| ( ( eiw_di @ SV9 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[99]) ).
thf(104,plain,
! [SV11: $i] :
( ( ( bomb @ sK4_SY11 @ sK3_SX0 )
= $true )
| ( ( eiw_di @ SV11 @ sK3_SX0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[100]) ).
thf(105,plain,
! [SV11: $i] :
( ( ( h @ SV11 @ sK3_SX0 )
= $true )
| ( ( eiw_di @ SV11 @ sK3_SX0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[101]) ).
thf(106,plain,
! [SV12: $i,SV10: mworld] :
( ( ( h @ sK2_SX0 @ SV10 )
= $false )
| ( ( bomb @ SV12 @ SV10 )
= $false )
| ( ( ! [SY19: mworld] :
( ~ ( mrel @ SV10 @ SY19 )
| ( bomb @ SV12 @ SY19 ) ) )
= $true )
| ( ( eiw_di @ SV12 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[102]) ).
thf(107,plain,
! [SV5: mworld,SV13: mworld,SV9: $i] :
( ( ( ~ ( bomb @ SV9 @ SV13 )
| ~ ( h @ ( sK6_SY13 @ SV9 @ SV5 ) @ SV13 ) )
= $true )
| ( ( defused @ SV9 @ SV13 )
= $true )
| ( ( mrel @ SV5 @ SV13 )
= $false )
| ( ( eiw_di @ SV9 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[103]) ).
thf(108,plain,
! [SV12: $i,SV14: mworld,SV10: mworld] :
( ( ( ~ ( mrel @ SV10 @ SV14 )
| ( bomb @ SV12 @ SV14 ) )
= $true )
| ( ( bomb @ SV12 @ SV10 )
= $false )
| ( ( h @ sK2_SX0 @ SV10 )
= $false )
| ( ( eiw_di @ SV12 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[106]) ).
thf(109,plain,
! [SV5: mworld,SV13: mworld,SV9: $i] :
( ( ( ~ ( bomb @ SV9 @ SV13 ) )
= $true )
| ( ( ~ ( h @ ( sK6_SY13 @ SV9 @ SV5 ) @ SV13 ) )
= $true )
| ( ( defused @ SV9 @ SV13 )
= $true )
| ( ( mrel @ SV5 @ SV13 )
= $false )
| ( ( eiw_di @ SV9 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[107]) ).
thf(110,plain,
! [SV12: $i,SV14: mworld,SV10: mworld] :
( ( ( ~ ( mrel @ SV10 @ SV14 ) )
= $true )
| ( ( bomb @ SV12 @ SV14 )
= $true )
| ( ( bomb @ SV12 @ SV10 )
= $false )
| ( ( h @ sK2_SX0 @ SV10 )
= $false )
| ( ( eiw_di @ SV12 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[108]) ).
thf(111,plain,
! [SV5: mworld,SV13: mworld,SV9: $i] :
( ( ( bomb @ SV9 @ SV13 )
= $false )
| ( ( ~ ( h @ ( sK6_SY13 @ SV9 @ SV5 ) @ SV13 ) )
= $true )
| ( ( defused @ SV9 @ SV13 )
= $true )
| ( ( mrel @ SV5 @ SV13 )
= $false )
| ( ( eiw_di @ SV9 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[109]) ).
thf(112,plain,
! [SV12: $i,SV14: mworld,SV10: mworld] :
( ( ( mrel @ SV10 @ SV14 )
= $false )
| ( ( bomb @ SV12 @ SV14 )
= $true )
| ( ( bomb @ SV12 @ SV10 )
= $false )
| ( ( h @ sK2_SX0 @ SV10 )
= $false )
| ( ( eiw_di @ SV12 @ SV10 )
= $false )
| ( ( mrel @ mactual @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[110]) ).
thf(113,plain,
! [SV13: mworld,SV5: mworld,SV9: $i] :
( ( ( h @ ( sK6_SY13 @ SV9 @ SV5 ) @ SV13 )
= $false )
| ( ( bomb @ SV9 @ SV13 )
= $false )
| ( ( defused @ SV9 @ SV13 )
= $true )
| ( ( mrel @ SV5 @ SV13 )
= $false )
| ( ( eiw_di @ SV9 @ SV5 )
= $false )
| ( ( mrel @ mactual @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[111]) ).
thf(114,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[24,113,112,105,104,91,85,73,72,62,60,57,46,30]) ).
thf(115,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[114]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : PLA053^18 : TPTP v8.1.0. Released v8.1.0.
% 0.11/0.14 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.15/0.35 % Computer : n023.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 600
% 0.15/0.35 % DateTime : Wed Jun 1 00:12:11 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.15/0.37
% 0.15/0.37 No.of.Axioms: 6
% 0.15/0.37
% 0.15/0.37 Length.of.Defs: 1623
% 0.15/0.37
% 0.15/0.37 Contains.Choice.Funs: false
% 0.15/0.37 (rf:0,axioms:6,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:8,loop_count:0,foatp_calls:0,translation:fof_full)......
% 0.22/0.45
% 0.22/0.45 ********************************
% 0.22/0.45 * All subproblems solved! *
% 0.22/0.45 ********************************
% 0.22/0.45 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:6,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:114,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.22/0.46
% 0.22/0.46 %**** Beginning of derivation protocol ****
% 0.22/0.46 % SZS output start CNFRefutation
% See solution above
% 0.22/0.46
% 0.22/0.46 %**** End of derivation protocol ****
% 0.22/0.46 %**** no. of clauses in derivation: 115 ****
% 0.22/0.46 %**** clause counter: 114 ****
% 0.22/0.46
% 0.22/0.46 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:6,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:114,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------