TSTP Solution File: PLA053^5 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : PLA053^5 : 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 : n022.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 0.19s 0.41s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 37
% Syntax : Number of formulae : 115 ( 53 unt; 21 typ; 10 def)
% Number of atoms : 665 ( 160 equ; 0 cnn)
% Maximal formula atoms : 10 ( 7 avg)
% Number of connectives : 1091 ( 242 ~; 184 |; 3 &; 658 @)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 3 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 66 ( 66 >; 0 *; 0 +; 0 <<)
% Number of symbols : 23 ( 20 usr; 6 con; 0-3 aty)
% Number of variables : 219 ( 41 ^ 176 !; 2 ?; 219 :)
% 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_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_SX0,type,
sK1_SX0: $i ).
thf(tp_sK2_SX0,type,
sK2_SX0: mworld ).
thf(tp_sK3_SY10,type,
sK3_SY10: $i ).
thf(tp_sK4_SY5,type,
sK4_SY5: mworld > $i ).
thf(tp_sK5_SY12,type,
sK5_SY12: $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] : ( 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] : ( 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,U: mworld] :
( ( ( mrel @ W @ U )
& ( mrel @ W @ V ) )
=> ( mrel @ U @ V ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mrel_euclidean) ).
thf(5,axiom,
! [W: mworld] : ( mrel @ W @ W ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mrel_reflexive) ).
thf(6,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(7,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)],[6]) ).
thf(8,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)],[7]) ).
thf(9,plain,
( ( ! [W: mworld,V: mworld,U: mworld] :
( ~ ( mrel @ W @ U )
| ~ ( mrel @ W @ V )
| ( mrel @ U @ V ) ) )
= $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 @ U )
| ~ ( mrel @ W @ V )
| ( mrel @ U @ V ) ) )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(12,plain,
( ( mlocal
@ ( mbox
@ ( mexists_di
@ ^ [B: $i] : ( bomb @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[3]) ).
thf(13,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(14,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(15,plain,
( ( ~ ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [X: $i] :
( mexists_di
@ ^ [D: $i] : ( mimplies @ ( mand @ ( bomb @ X ) @ ( h @ D ) ) @ ( defused @ X ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[8]) ).
thf(16,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i] :
~ ! [SX2: $i] :
~ ! [SX3: mworld] :
( ~ ( mrel @ SX0 @ SX3 )
| ~ ~ ( ~ ( bomb @ SX1 @ SX3 )
| ~ ( h @ SX2 @ SX3 ) )
| ( defused @ SX1 @ SX3 ) ) ) )
= $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 )
| ! [SX2: $i] :
( ~ ~ ( ~ ( bomb @ SX2 @ SX1 )
| ~ ( h @ SX0 @ SX1 ) )
| ! [SX3: mworld] :
( ~ ( mrel @ SX1 @ SX3 )
| ( bomb @ SX2 @ SX3 ) ) ) ) )
= $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] :
~ ( bomb @ SX1 @ SX0 ) ) )
= $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] :
~ ( ~ ~ ( ~ ( bomb @ SX1 @ SX0 )
| ~ ( h @ SX2 @ SX0 ) )
| ( defused @ SX1 @ SX0 ) ) ) )
= $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 @ SY1 )
| ~ ( mrel @ SV2 @ SY0 )
| ( mrel @ SY1 @ SY0 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[11]) ).
thf(22,plain,
! [SV3: mworld] :
( ( ~ ( mrel @ mactual @ SV3 )
| ! [SY2: $i] :
~ ! [SY3: $i] :
~ ! [SY4: mworld] :
( ~ ( mrel @ SV3 @ SY4 )
| ~ ~ ( ~ ( bomb @ SY2 @ SY4 )
| ~ ( h @ SY3 @ SY4 ) )
| ( defused @ SY2 @ SY4 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[16]) ).
thf(23,plain,
( ( ! [SX0: $i] :
~ ! [SX1: mworld] :
( ~ ( mrel @ mactual @ SX1 )
| ! [SX2: $i] :
( ~ ~ ( ~ ( bomb @ SX2 @ SX1 )
| ~ ( h @ SX0 @ SX1 ) )
| ! [SX3: mworld] :
( ~ ( mrel @ SX1 @ SX3 )
| ( bomb @ SX2 @ SX3 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[17]) ).
thf(24,plain,
! [SV4: mworld] :
( ( ~ ( mrel @ mactual @ SV4 )
| ~ ! [SY5: $i] :
~ ( bomb @ SY5 @ SV4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[18]) ).
thf(25,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: $i] :
~ ! [SX2: $i] :
~ ( ~ ~ ( ~ ( bomb @ SX1 @ SX0 )
| ~ ( h @ SX2 @ SX0 ) )
| ( defused @ SX1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[19]) ).
thf(26,plain,
! [SV5: mworld,SV2: mworld] :
( ( ! [SY6: mworld] :
( ~ ( mrel @ SV2 @ SY6 )
| ~ ( mrel @ SV2 @ SV5 )
| ( mrel @ SY6 @ SV5 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[21]) ).
thf(27,plain,
! [SV3: mworld] :
( ( ( ~ ( mrel @ mactual @ SV3 ) )
= $true )
| ( ( ! [SY2: $i] :
~ ! [SY3: $i] :
~ ! [SY4: mworld] :
( ~ ( mrel @ SV3 @ SY4 )
| ~ ~ ( ~ ( bomb @ SY2 @ SY4 )
| ~ ( h @ SY3 @ SY4 ) )
| ( defused @ SY2 @ SY4 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[22]) ).
thf(28,plain,
( ( ~ ! [SY7: mworld] :
( ~ ( mrel @ mactual @ SY7 )
| ! [SY8: $i] :
( ~ ~ ( ~ ( bomb @ SY8 @ SY7 )
| ~ ( h @ sK1_SX0 @ SY7 ) )
| ! [SX3: mworld] :
( ~ ( mrel @ SY7 @ SX3 )
| ( bomb @ SY8 @ SX3 ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[23]) ).
thf(29,plain,
! [SV4: mworld] :
( ( ( ~ ( mrel @ mactual @ SV4 ) )
= $true )
| ( ( ~ ! [SY5: $i] :
~ ( bomb @ SY5 @ SV4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[24]) ).
thf(30,plain,
( ( ~ ( mrel @ mactual @ sK2_SX0 )
| ! [SY10: $i] :
~ ! [SY11: $i] :
~ ( ~ ~ ( ~ ( bomb @ SY10 @ sK2_SX0 )
| ~ ( h @ SY11 @ sK2_SX0 ) )
| ( defused @ SY10 @ sK2_SX0 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[25]) ).
thf(31,plain,
! [SV5: mworld,SV6: mworld,SV2: mworld] :
( ( ~ ( mrel @ SV2 @ SV6 )
| ~ ( mrel @ SV2 @ SV5 )
| ( mrel @ SV6 @ SV5 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[26]) ).
thf(32,plain,
! [SV3: mworld] :
( ( ( mrel @ mactual @ SV3 )
= $false )
| ( ( ! [SY2: $i] :
~ ! [SY3: $i] :
~ ! [SY4: mworld] :
( ~ ( mrel @ SV3 @ SY4 )
| ~ ~ ( ~ ( bomb @ SY2 @ SY4 )
| ~ ( h @ SY3 @ SY4 ) )
| ( defused @ SY2 @ SY4 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[27]) ).
thf(33,plain,
( ( ! [SY7: mworld] :
( ~ ( mrel @ mactual @ SY7 )
| ! [SY8: $i] :
( ~ ~ ( ~ ( bomb @ SY8 @ SY7 )
| ~ ( h @ sK1_SX0 @ SY7 ) )
| ! [SX3: mworld] :
( ~ ( mrel @ SY7 @ SX3 )
| ( bomb @ SY8 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[28]) ).
thf(34,plain,
! [SV4: mworld] :
( ( ( mrel @ mactual @ SV4 )
= $false )
| ( ( ~ ! [SY5: $i] :
~ ( bomb @ SY5 @ SV4 ) )
= $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,
( ( ! [SY10: $i] :
~ ! [SY11: $i] :
~ ( ~ ~ ( ~ ( bomb @ SY10 @ sK2_SX0 )
| ~ ( h @ SY11 @ sK2_SX0 ) )
| ( defused @ SY10 @ sK2_SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[30]) ).
thf(37,plain,
! [SV5: mworld,SV6: mworld,SV2: mworld] :
( ( ( ~ ( mrel @ SV2 @ SV6 )
| ~ ( mrel @ SV2 @ SV5 ) )
= $true )
| ( ( mrel @ SV6 @ SV5 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[31]) ).
thf(38,plain,
! [SV7: $i,SV3: mworld] :
( ( ( ~ ! [SY12: $i] :
~ ! [SY13: mworld] :
( ~ ( mrel @ SV3 @ SY13 )
| ~ ~ ( ~ ( bomb @ SV7 @ SY13 )
| ~ ( h @ SY12 @ SY13 ) )
| ( defused @ SV7 @ SY13 ) ) )
= $true )
| ( ( mrel @ mactual @ SV3 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[32]) ).
thf(39,plain,
! [SV8: mworld] :
( ( ~ ( mrel @ mactual @ SV8 )
| ! [SY14: $i] :
( ~ ~ ( ~ ( bomb @ SY14 @ SV8 )
| ~ ( h @ sK1_SX0 @ SV8 ) )
| ! [SY15: mworld] :
( ~ ( mrel @ SV8 @ SY15 )
| ( bomb @ SY14 @ SY15 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[33]) ).
thf(40,plain,
! [SV4: mworld] :
( ( ( ! [SY5: $i] :
~ ( bomb @ SY5 @ SV4 ) )
= $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,
( ( ~ ! [SY16: $i] :
~ ( ~ ~ ( ~ ( bomb @ sK3_SY10 @ sK2_SX0 )
| ~ ( h @ SY16 @ sK2_SX0 ) )
| ( defused @ sK3_SY10 @ sK2_SX0 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[36]) ).
thf(43,plain,
! [SV5: mworld,SV6: mworld,SV2: mworld] :
( ( ( ~ ( mrel @ SV2 @ SV6 ) )
= $true )
| ( ( ~ ( mrel @ SV2 @ SV5 ) )
= $true )
| ( ( mrel @ SV6 @ SV5 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[37]) ).
thf(44,plain,
! [SV7: $i,SV3: mworld] :
( ( ( ! [SY12: $i] :
~ ! [SY13: mworld] :
( ~ ( mrel @ SV3 @ SY13 )
| ~ ~ ( ~ ( bomb @ SV7 @ SY13 )
| ~ ( h @ SY12 @ SY13 ) )
| ( defused @ SV7 @ SY13 ) ) )
= $false )
| ( ( mrel @ mactual @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[38]) ).
thf(45,plain,
! [SV8: mworld] :
( ( ( ~ ( mrel @ mactual @ SV8 ) )
= $true )
| ( ( ! [SY14: $i] :
( ~ ~ ( ~ ( bomb @ SY14 @ SV8 )
| ~ ( h @ sK1_SX0 @ SV8 ) )
| ! [SY15: mworld] :
( ~ ( mrel @ SV8 @ SY15 )
| ( bomb @ SY14 @ SY15 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[39]) ).
thf(46,plain,
! [SV4: mworld] :
( ( ( ~ ( bomb @ ( sK4_SY5 @ SV4 ) @ SV4 ) )
= $false )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[40]) ).
thf(47,plain,
( ( ! [SY16: $i] :
~ ( ~ ~ ( ~ ( bomb @ sK3_SY10 @ sK2_SX0 )
| ~ ( h @ SY16 @ sK2_SX0 ) )
| ( defused @ sK3_SY10 @ sK2_SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[42]) ).
thf(48,plain,
! [SV5: mworld,SV6: mworld,SV2: mworld] :
( ( ( mrel @ SV2 @ SV6 )
= $false )
| ( ( ~ ( mrel @ SV2 @ SV5 ) )
= $true )
| ( ( mrel @ SV6 @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[43]) ).
thf(49,plain,
! [SV7: $i,SV3: mworld] :
( ( ( ~ ! [SY17: mworld] :
( ~ ( mrel @ SV3 @ SY17 )
| ~ ~ ( ~ ( bomb @ SV7 @ SY17 )
| ~ ( h @ ( sK5_SY12 @ SV7 @ SV3 ) @ SY17 ) )
| ( defused @ SV7 @ SY17 ) ) )
= $false )
| ( ( mrel @ mactual @ SV3 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[44]) ).
thf(50,plain,
! [SV8: mworld] :
( ( ( mrel @ mactual @ SV8 )
= $false )
| ( ( ! [SY14: $i] :
( ~ ~ ( ~ ( bomb @ SY14 @ SV8 )
| ~ ( h @ sK1_SX0 @ SV8 ) )
| ! [SY15: mworld] :
( ~ ( mrel @ SV8 @ SY15 )
| ( bomb @ SY14 @ SY15 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[45]) ).
thf(51,plain,
! [SV4: mworld] :
( ( ( bomb @ ( sK4_SY5 @ SV4 ) @ SV4 )
= $true )
| ( ( mrel @ mactual @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[46]) ).
thf(52,plain,
! [SV9: $i] :
( ( ~ ( ~ ~ ( ~ ( bomb @ sK3_SY10 @ sK2_SX0 )
| ~ ( h @ SV9 @ sK2_SX0 ) )
| ( defused @ sK3_SY10 @ sK2_SX0 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[47]) ).
thf(53,plain,
! [SV6: mworld,SV5: mworld,SV2: mworld] :
( ( ( mrel @ SV2 @ SV5 )
= $false )
| ( ( mrel @ SV2 @ SV6 )
= $false )
| ( ( mrel @ SV6 @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[48]) ).
thf(54,plain,
! [SV7: $i,SV3: mworld] :
( ( ( ! [SY17: mworld] :
( ~ ( mrel @ SV3 @ SY17 )
| ~ ~ ( ~ ( bomb @ SV7 @ SY17 )
| ~ ( h @ ( sK5_SY12 @ SV7 @ SV3 ) @ SY17 ) )
| ( defused @ SV7 @ SY17 ) ) )
= $true )
| ( ( mrel @ mactual @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[49]) ).
thf(55,plain,
! [SV8: mworld,SV10: $i] :
( ( ( ~ ~ ( ~ ( bomb @ SV10 @ SV8 )
| ~ ( h @ sK1_SX0 @ SV8 ) )
| ! [SY18: mworld] :
( ~ ( mrel @ SV8 @ SY18 )
| ( bomb @ SV10 @ SY18 ) ) )
= $true )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[50]) ).
thf(56,plain,
! [SV9: $i] :
( ( ~ ~ ( ~ ( bomb @ sK3_SY10 @ sK2_SX0 )
| ~ ( h @ SV9 @ sK2_SX0 ) )
| ( defused @ sK3_SY10 @ sK2_SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[52]) ).
thf(57,plain,
! [SV7: $i,SV11: mworld,SV3: mworld] :
( ( ( ~ ( mrel @ SV3 @ SV11 )
| ~ ~ ( ~ ( bomb @ SV7 @ SV11 )
| ~ ( h @ ( sK5_SY12 @ SV7 @ SV3 ) @ SV11 ) )
| ( defused @ SV7 @ SV11 ) )
= $true )
| ( ( mrel @ mactual @ SV3 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[54]) ).
thf(58,plain,
! [SV8: mworld,SV10: $i] :
( ( ( ~ ~ ( ~ ( bomb @ SV10 @ SV8 )
| ~ ( h @ sK1_SX0 @ SV8 ) ) )
= $true )
| ( ( ! [SY18: mworld] :
( ~ ( mrel @ SV8 @ SY18 )
| ( bomb @ SV10 @ SY18 ) ) )
= $true )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[55]) ).
thf(59,plain,
! [SV9: $i] :
( ( ~ ~ ( ~ ( bomb @ sK3_SY10 @ sK2_SX0 )
| ~ ( h @ SV9 @ sK2_SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[56]) ).
thf(60,plain,
( ( defused @ sK3_SY10 @ sK2_SX0 )
= $false ),
inference(extcnf_or_neg,[status(thm)],[56]) ).
thf(61,plain,
! [SV7: $i,SV11: mworld,SV3: mworld] :
( ( ( ~ ( mrel @ SV3 @ SV11 ) )
= $true )
| ( ( ~ ~ ( ~ ( bomb @ SV7 @ SV11 )
| ~ ( h @ ( sK5_SY12 @ SV7 @ SV3 ) @ SV11 ) )
| ( defused @ SV7 @ SV11 ) )
= $true )
| ( ( mrel @ mactual @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[57]) ).
thf(62,plain,
! [SV8: mworld,SV10: $i] :
( ( ( ~ ( ~ ( bomb @ SV10 @ SV8 )
| ~ ( h @ sK1_SX0 @ SV8 ) ) )
= $false )
| ( ( ! [SY18: mworld] :
( ~ ( mrel @ SV8 @ SY18 )
| ( bomb @ SV10 @ SY18 ) ) )
= $true )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[58]) ).
thf(63,plain,
! [SV9: $i] :
( ( ~ ( ~ ( bomb @ sK3_SY10 @ sK2_SX0 )
| ~ ( h @ SV9 @ sK2_SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[59]) ).
thf(64,plain,
! [SV7: $i,SV11: mworld,SV3: mworld] :
( ( ( mrel @ SV3 @ SV11 )
= $false )
| ( ( ~ ~ ( ~ ( bomb @ SV7 @ SV11 )
| ~ ( h @ ( sK5_SY12 @ SV7 @ SV3 ) @ SV11 ) )
| ( defused @ SV7 @ SV11 ) )
= $true )
| ( ( mrel @ mactual @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[61]) ).
thf(65,plain,
! [SV8: mworld,SV10: $i] :
( ( ( ~ ( bomb @ SV10 @ SV8 )
| ~ ( h @ sK1_SX0 @ SV8 ) )
= $true )
| ( ( ! [SY18: mworld] :
( ~ ( mrel @ SV8 @ SY18 )
| ( bomb @ SV10 @ SY18 ) ) )
= $true )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[62]) ).
thf(66,plain,
! [SV9: $i] :
( ( ~ ( bomb @ sK3_SY10 @ sK2_SX0 )
| ~ ( h @ SV9 @ sK2_SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[63]) ).
thf(67,plain,
! [SV3: mworld,SV11: mworld,SV7: $i] :
( ( ( ~ ~ ( ~ ( bomb @ SV7 @ SV11 )
| ~ ( h @ ( sK5_SY12 @ SV7 @ SV3 ) @ SV11 ) ) )
= $true )
| ( ( defused @ SV7 @ SV11 )
= $true )
| ( ( mrel @ SV3 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[64]) ).
thf(68,plain,
! [SV8: mworld,SV10: $i] :
( ( ( ~ ( bomb @ SV10 @ SV8 ) )
= $true )
| ( ( ~ ( h @ sK1_SX0 @ SV8 ) )
= $true )
| ( ( ! [SY18: mworld] :
( ~ ( mrel @ SV8 @ SY18 )
| ( bomb @ SV10 @ SY18 ) ) )
= $true )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[65]) ).
thf(69,plain,
( ( ~ ( bomb @ sK3_SY10 @ sK2_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[66]) ).
thf(70,plain,
! [SV9: $i] :
( ( ~ ( h @ SV9 @ sK2_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[66]) ).
thf(71,plain,
! [SV3: mworld,SV11: mworld,SV7: $i] :
( ( ( ~ ( ~ ( bomb @ SV7 @ SV11 )
| ~ ( h @ ( sK5_SY12 @ SV7 @ SV3 ) @ SV11 ) ) )
= $false )
| ( ( defused @ SV7 @ SV11 )
= $true )
| ( ( mrel @ SV3 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[67]) ).
thf(72,plain,
! [SV8: mworld,SV10: $i] :
( ( ( bomb @ SV10 @ SV8 )
= $false )
| ( ( ~ ( h @ sK1_SX0 @ SV8 ) )
= $true )
| ( ( ! [SY18: mworld] :
( ~ ( mrel @ SV8 @ SY18 )
| ( bomb @ SV10 @ SY18 ) ) )
= $true )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[68]) ).
thf(73,plain,
( ( bomb @ sK3_SY10 @ sK2_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[69]) ).
thf(74,plain,
! [SV9: $i] :
( ( h @ SV9 @ sK2_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[70]) ).
thf(75,plain,
! [SV3: mworld,SV11: mworld,SV7: $i] :
( ( ( ~ ( bomb @ SV7 @ SV11 )
| ~ ( h @ ( sK5_SY12 @ SV7 @ SV3 ) @ SV11 ) )
= $true )
| ( ( defused @ SV7 @ SV11 )
= $true )
| ( ( mrel @ SV3 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[71]) ).
thf(76,plain,
! [SV10: $i,SV8: mworld] :
( ( ( h @ sK1_SX0 @ SV8 )
= $false )
| ( ( bomb @ SV10 @ SV8 )
= $false )
| ( ( ! [SY18: mworld] :
( ~ ( mrel @ SV8 @ SY18 )
| ( bomb @ SV10 @ SY18 ) ) )
= $true )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[72]) ).
thf(77,plain,
! [SV3: mworld,SV11: mworld,SV7: $i] :
( ( ( ~ ( bomb @ SV7 @ SV11 ) )
= $true )
| ( ( ~ ( h @ ( sK5_SY12 @ SV7 @ SV3 ) @ SV11 ) )
= $true )
| ( ( defused @ SV7 @ SV11 )
= $true )
| ( ( mrel @ SV3 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[75]) ).
thf(78,plain,
! [SV10: $i,SV12: mworld,SV8: mworld] :
( ( ( ~ ( mrel @ SV8 @ SV12 )
| ( bomb @ SV10 @ SV12 ) )
= $true )
| ( ( bomb @ SV10 @ SV8 )
= $false )
| ( ( h @ sK1_SX0 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[76]) ).
thf(79,plain,
! [SV3: mworld,SV11: mworld,SV7: $i] :
( ( ( bomb @ SV7 @ SV11 )
= $false )
| ( ( ~ ( h @ ( sK5_SY12 @ SV7 @ SV3 ) @ SV11 ) )
= $true )
| ( ( defused @ SV7 @ SV11 )
= $true )
| ( ( mrel @ SV3 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[77]) ).
thf(80,plain,
! [SV10: $i,SV12: mworld,SV8: mworld] :
( ( ( ~ ( mrel @ SV8 @ SV12 ) )
= $true )
| ( ( bomb @ SV10 @ SV12 )
= $true )
| ( ( bomb @ SV10 @ SV8 )
= $false )
| ( ( h @ sK1_SX0 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[78]) ).
thf(81,plain,
! [SV11: mworld,SV3: mworld,SV7: $i] :
( ( ( h @ ( sK5_SY12 @ SV7 @ SV3 ) @ SV11 )
= $false )
| ( ( bomb @ SV7 @ SV11 )
= $false )
| ( ( defused @ SV7 @ SV11 )
= $true )
| ( ( mrel @ SV3 @ SV11 )
= $false )
| ( ( mrel @ mactual @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[79]) ).
thf(82,plain,
! [SV10: $i,SV12: mworld,SV8: mworld] :
( ( ( mrel @ SV8 @ SV12 )
= $false )
| ( ( bomb @ SV10 @ SV12 )
= $true )
| ( ( bomb @ SV10 @ SV8 )
= $false )
| ( ( h @ sK1_SX0 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[80]) ).
thf(83,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[20,82,81,74,73,60,53,51,41]) ).
thf(84,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[83]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : PLA053^5 : TPTP v8.1.0. Released v8.1.0.
% 0.03/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.33 % Computer : n022.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Tue May 31 22:41:52 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.34
% 0.13/0.34 No.of.Axioms: 5
% 0.13/0.34
% 0.13/0.34 Length.of.Defs: 1584
% 0.13/0.34
% 0.13/0.34 Contains.Choice.Funs: false
% 0.13/0.35 (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)....
% 0.19/0.41
% 0.19/0.41 ********************************
% 0.19/0.41 * All subproblems solved! *
% 0.19/0.41 ********************************
% 0.19/0.41 % SZS status Theorem for /export/starexec/sandbox2/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:83,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.19/0.41
% 0.19/0.41 %**** Beginning of derivation protocol ****
% 0.19/0.41 % SZS output start CNFRefutation
% See solution above
% 0.19/0.41
% 0.19/0.41 %**** End of derivation protocol ****
% 0.19/0.41 %**** no. of clauses in derivation: 84 ****
% 0.19/0.41 %**** clause counter: 83 ****
% 0.19/0.41
% 0.19/0.41 % SZS status Theorem for /export/starexec/sandbox2/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:83,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------