TSTP Solution File: LCL958^18 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : LCL958^18 : 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 : n021.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 : Sun Jul 17 12:27:51 EDT 2022
% Result : Theorem 0.20s 0.42s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 36
% Syntax : Number of formulae : 93 ( 34 unt; 22 typ; 10 def)
% Number of atoms : 505 ( 106 equ; 0 cnn)
% Maximal formula atoms : 13 ( 7 avg)
% Number of connectives : 962 ( 157 ~; 179 |; 4 &; 617 @)
% ( 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 : 24 ( 21 usr; 3 con; 0-3 aty)
% Number of variables : 202 ( 31 ^ 168 !; 3 ?; 202 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_mworld,type,
mworld: $tType ).
thf(tp_big_p,type,
big_p: $i > mworld > $o ).
thf(tp_big_q,type,
big_q: $i > mworld > $o ).
thf(tp_eiw_di,type,
eiw_di: $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_SY4,type,
sK2_SY4: $i > mworld ).
thf(tp_sK3_SY10,type,
sK3_SY10: $i > $i ).
thf(tp_sK4_SY15,type,
sK4_SY15: $i > mworld ).
thf(tp_sK5_SY20,type,
sK5_SY20: $i > mworld ).
thf(tp_sK6_SY21,type,
sK6_SY21: $i > mworld ).
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] :
( ( eiw_di @ X @ W )
& ( 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] :
( ( eiw_di @ X @ W )
=> ( 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,
! [W: mworld,V: mworld,X: $i] :
( ( ( eiw_di @ X @ W )
& ( mrel @ W @ V ) )
=> ( eiw_di @ X @ V ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',eiw_di_cumul) ).
thf(2,axiom,
! [W: mworld] :
? [X: $i] : ( eiw_di @ X @ W ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',eiw_di_nonempty) ).
thf(3,axiom,
! [W: mworld,V: mworld] : ( mrel @ W @ V ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mrel_universal) ).
thf(4,conjecture,
( mlocal
@ ( mexists_di
@ ^ [X: $i] :
( mbox
@ ( mforall_di
@ ^ [Y: $i] : ( mbox @ ( mimplies @ ( mbox @ ( big_p @ X ) ) @ ( mor @ ( mbox @ ( big_q @ X ) ) @ ( mbox @ ( big_p @ Y ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',x2137) ).
thf(5,negated_conjecture,
( ( mlocal
@ ( mexists_di
@ ^ [X: $i] :
( mbox
@ ( mforall_di
@ ^ [Y: $i] : ( mbox @ ( mimplies @ ( mbox @ ( big_p @ X ) ) @ ( mor @ ( mbox @ ( big_q @ X ) ) @ ( mbox @ ( big_p @ Y ) ) ) ) ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[4]) ).
thf(6,plain,
( ( ~ ( mlocal
@ ( mexists_di
@ ^ [X: $i] :
( mbox
@ ( mforall_di
@ ^ [Y: $i] : ( mbox @ ( mimplies @ ( mbox @ ( big_p @ X ) ) @ ( mor @ ( mbox @ ( big_q @ X ) ) @ ( mbox @ ( big_p @ Y ) ) ) ) ) ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[5]) ).
thf(7,plain,
( ( ! [W: mworld,V: mworld,X: $i] :
( ~ ( eiw_di @ X @ W )
| ~ ( mrel @ W @ V )
| ( eiw_di @ X @ V ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[1]) ).
thf(8,plain,
( ( ! [W: mworld] : ( eiw_di @ ( sK1_X @ W ) @ W ) )
= $true ),
inference(extcnf_combined,[status(esa)],[2]) ).
thf(9,plain,
( ( ! [W: mworld,V: mworld] : ( mrel @ W @ V ) )
= $true ),
inference(copy,[status(thm)],[3]) ).
thf(10,plain,
( ( ! [W: mworld] : ( eiw_di @ ( sK1_X @ W ) @ W ) )
= $true ),
inference(copy,[status(thm)],[8]) ).
thf(11,plain,
( ( ! [W: mworld,V: mworld,X: $i] :
( ~ ( eiw_di @ X @ W )
| ~ ( mrel @ W @ V )
| ( eiw_di @ X @ V ) ) )
= $true ),
inference(copy,[status(thm)],[7]) ).
thf(12,plain,
( ( ~ ( mlocal
@ ( mexists_di
@ ^ [X: $i] :
( mbox
@ ( mforall_di
@ ^ [Y: $i] : ( mbox @ ( mimplies @ ( mbox @ ( big_p @ X ) ) @ ( mor @ ( mbox @ ( big_q @ X ) ) @ ( mbox @ ( big_p @ Y ) ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[6]) ).
thf(13,plain,
( ( ~ ~ ! [SX0: $i] :
~ ~ ( ~ ( eiw_di @ SX0 @ mactual )
| ~ ! [SX1: mworld] :
( ~ ( mrel @ mactual @ SX1 )
| ! [SX2: $i] :
( ~ ( eiw_di @ SX2 @ SX1 )
| ! [SX3: mworld] :
( ~ ( mrel @ SX1 @ SX3 )
| ~ ! [SX4: mworld] :
( ~ ( mrel @ SX3 @ SX4 )
| ( big_p @ SX0 @ SX4 ) )
| ! [SX4: mworld] :
( ~ ( mrel @ SX3 @ SX4 )
| ( big_q @ SX0 @ SX4 ) )
| ! [SX4: mworld] :
( ~ ( mrel @ SX3 @ SX4 )
| ( big_p @ SX2 @ SX4 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(14,plain,
! [SV1: mworld] :
( ( ! [SY0: mworld] : ( mrel @ SV1 @ SY0 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[9]) ).
thf(15,plain,
! [SV2: mworld] :
( ( eiw_di @ ( sK1_X @ SV2 ) @ SV2 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[10]) ).
thf(16,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)],[11]) ).
thf(17,plain,
( ( ~ ! [SX0: $i] :
~ ~ ( ~ ( eiw_di @ SX0 @ mactual )
| ~ ! [SX1: mworld] :
( ~ ( mrel @ mactual @ SX1 )
| ! [SX2: $i] :
( ~ ( eiw_di @ SX2 @ SX1 )
| ! [SX3: mworld] :
( ~ ( mrel @ SX1 @ SX3 )
| ~ ! [SX4: mworld] :
( ~ ( mrel @ SX3 @ SX4 )
| ( big_p @ SX0 @ SX4 ) )
| ! [SX4: mworld] :
( ~ ( mrel @ SX3 @ SX4 )
| ( big_q @ SX0 @ SX4 ) )
| ! [SX4: mworld] :
( ~ ( mrel @ SX3 @ SX4 )
| ( big_p @ SX2 @ SX4 ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[13]) ).
thf(18,plain,
! [SV4: mworld,SV1: mworld] :
( ( mrel @ SV1 @ SV4 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[14]) ).
thf(19,plain,
! [SV5: mworld,SV3: mworld] :
( ( ! [SY3: $i] :
( ~ ( eiw_di @ SY3 @ SV3 )
| ~ ( mrel @ SV3 @ SV5 )
| ( eiw_di @ SY3 @ SV5 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[16]) ).
thf(20,plain,
( ( ! [SX0: $i] :
~ ~ ( ~ ( eiw_di @ SX0 @ mactual )
| ~ ! [SX1: mworld] :
( ~ ( mrel @ mactual @ SX1 )
| ! [SX2: $i] :
( ~ ( eiw_di @ SX2 @ SX1 )
| ! [SX3: mworld] :
( ~ ( mrel @ SX1 @ SX3 )
| ~ ! [SX4: mworld] :
( ~ ( mrel @ SX3 @ SX4 )
| ( big_p @ SX0 @ SX4 ) )
| ! [SX4: mworld] :
( ~ ( mrel @ SX3 @ SX4 )
| ( big_q @ SX0 @ SX4 ) )
| ! [SX4: mworld] :
( ~ ( mrel @ SX3 @ SX4 )
| ( big_p @ SX2 @ SX4 ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[17]) ).
thf(21,plain,
! [SV5: mworld,SV3: mworld,SV6: $i] :
( ( ~ ( eiw_di @ SV6 @ SV3 )
| ~ ( mrel @ SV3 @ SV5 )
| ( eiw_di @ SV6 @ SV5 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[19]) ).
thf(22,plain,
! [SV7: $i] :
( ( ~ ~ ( ~ ( eiw_di @ SV7 @ mactual )
| ~ ! [SY4: mworld] :
( ~ ( mrel @ mactual @ SY4 )
| ! [SY5: $i] :
( ~ ( eiw_di @ SY5 @ SY4 )
| ! [SY6: mworld] :
( ~ ( mrel @ SY4 @ SY6 )
| ~ ! [SY7: mworld] :
( ~ ( mrel @ SY6 @ SY7 )
| ( big_p @ SV7 @ SY7 ) )
| ! [SY8: mworld] :
( ~ ( mrel @ SY6 @ SY8 )
| ( big_q @ SV7 @ SY8 ) )
| ! [SX4: mworld] :
( ~ ( mrel @ SY6 @ SX4 )
| ( big_p @ SY5 @ SX4 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[20]) ).
thf(23,plain,
! [SV5: mworld,SV3: mworld,SV6: $i] :
( ( ( ~ ( eiw_di @ SV6 @ SV3 )
| ~ ( mrel @ SV3 @ SV5 ) )
= $true )
| ( ( eiw_di @ SV6 @ SV5 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[21]) ).
thf(24,plain,
! [SV7: $i] :
( ( ~ ( ~ ( eiw_di @ SV7 @ mactual )
| ~ ! [SY4: mworld] :
( ~ ( mrel @ mactual @ SY4 )
| ! [SY5: $i] :
( ~ ( eiw_di @ SY5 @ SY4 )
| ! [SY6: mworld] :
( ~ ( mrel @ SY4 @ SY6 )
| ~ ! [SY7: mworld] :
( ~ ( mrel @ SY6 @ SY7 )
| ( big_p @ SV7 @ SY7 ) )
| ! [SY8: mworld] :
( ~ ( mrel @ SY6 @ SY8 )
| ( big_q @ SV7 @ SY8 ) )
| ! [SX4: mworld] :
( ~ ( mrel @ SY6 @ SX4 )
| ( big_p @ SY5 @ SX4 ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[22]) ).
thf(25,plain,
! [SV5: mworld,SV3: mworld,SV6: $i] :
( ( ( ~ ( eiw_di @ SV6 @ SV3 ) )
= $true )
| ( ( ~ ( mrel @ SV3 @ SV5 ) )
= $true )
| ( ( eiw_di @ SV6 @ SV5 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[23]) ).
thf(26,plain,
! [SV7: $i] :
( ( ~ ( eiw_di @ SV7 @ mactual )
| ~ ! [SY4: mworld] :
( ~ ( mrel @ mactual @ SY4 )
| ! [SY5: $i] :
( ~ ( eiw_di @ SY5 @ SY4 )
| ! [SY6: mworld] :
( ~ ( mrel @ SY4 @ SY6 )
| ~ ! [SY7: mworld] :
( ~ ( mrel @ SY6 @ SY7 )
| ( big_p @ SV7 @ SY7 ) )
| ! [SY8: mworld] :
( ~ ( mrel @ SY6 @ SY8 )
| ( big_q @ SV7 @ SY8 ) )
| ! [SX4: mworld] :
( ~ ( mrel @ SY6 @ SX4 )
| ( big_p @ SY5 @ SX4 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[24]) ).
thf(27,plain,
! [SV5: mworld,SV3: mworld,SV6: $i] :
( ( ( eiw_di @ SV6 @ SV3 )
= $false )
| ( ( ~ ( mrel @ SV3 @ SV5 ) )
= $true )
| ( ( eiw_di @ SV6 @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[25]) ).
thf(28,plain,
! [SV7: $i] :
( ( ( ~ ( eiw_di @ SV7 @ mactual ) )
= $true )
| ( ( ~ ! [SY4: mworld] :
( ~ ( mrel @ mactual @ SY4 )
| ! [SY5: $i] :
( ~ ( eiw_di @ SY5 @ SY4 )
| ! [SY6: mworld] :
( ~ ( mrel @ SY4 @ SY6 )
| ~ ! [SY7: mworld] :
( ~ ( mrel @ SY6 @ SY7 )
| ( big_p @ SV7 @ SY7 ) )
| ! [SY8: mworld] :
( ~ ( mrel @ SY6 @ SY8 )
| ( big_q @ SV7 @ SY8 ) )
| ! [SX4: mworld] :
( ~ ( mrel @ SY6 @ SX4 )
| ( big_p @ SY5 @ SX4 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[26]) ).
thf(29,plain,
! [SV6: $i,SV5: mworld,SV3: mworld] :
( ( ( mrel @ SV3 @ SV5 )
= $false )
| ( ( eiw_di @ SV6 @ SV3 )
= $false )
| ( ( eiw_di @ SV6 @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[27]) ).
thf(30,plain,
! [SV7: $i] :
( ( ( eiw_di @ SV7 @ mactual )
= $false )
| ( ( ~ ! [SY4: mworld] :
( ~ ( mrel @ mactual @ SY4 )
| ! [SY5: $i] :
( ~ ( eiw_di @ SY5 @ SY4 )
| ! [SY6: mworld] :
( ~ ( mrel @ SY4 @ SY6 )
| ~ ! [SY7: mworld] :
( ~ ( mrel @ SY6 @ SY7 )
| ( big_p @ SV7 @ SY7 ) )
| ! [SY8: mworld] :
( ~ ( mrel @ SY6 @ SY8 )
| ( big_q @ SV7 @ SY8 ) )
| ! [SX4: mworld] :
( ~ ( mrel @ SY6 @ SX4 )
| ( big_p @ SY5 @ SX4 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[28]) ).
thf(31,plain,
! [SV7: $i] :
( ( ( ! [SY4: mworld] :
( ~ ( mrel @ mactual @ SY4 )
| ! [SY5: $i] :
( ~ ( eiw_di @ SY5 @ SY4 )
| ! [SY6: mworld] :
( ~ ( mrel @ SY4 @ SY6 )
| ~ ! [SY7: mworld] :
( ~ ( mrel @ SY6 @ SY7 )
| ( big_p @ SV7 @ SY7 ) )
| ! [SY8: mworld] :
( ~ ( mrel @ SY6 @ SY8 )
| ( big_q @ SV7 @ SY8 ) )
| ! [SX4: mworld] :
( ~ ( mrel @ SY6 @ SX4 )
| ( big_p @ SY5 @ SX4 ) ) ) ) ) )
= $false )
| ( ( eiw_di @ SV7 @ mactual )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[30]) ).
thf(32,plain,
! [SV7: $i] :
( ( ( ~ ( mrel @ mactual @ ( sK2_SY4 @ SV7 ) )
| ! [SY10: $i] :
( ~ ( eiw_di @ SY10 @ ( sK2_SY4 @ SV7 ) )
| ! [SY11: mworld] :
( ~ ( mrel @ ( sK2_SY4 @ SV7 ) @ SY11 )
| ~ ! [SY7: mworld] :
( ~ ( mrel @ SY11 @ SY7 )
| ( big_p @ SV7 @ SY7 ) )
| ! [SY8: mworld] :
( ~ ( mrel @ SY11 @ SY8 )
| ( big_q @ SV7 @ SY8 ) )
| ! [SX4: mworld] :
( ~ ( mrel @ SY11 @ SX4 )
| ( big_p @ SY10 @ SX4 ) ) ) ) )
= $false )
| ( ( eiw_di @ SV7 @ mactual )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[31]) ).
thf(33,plain,
! [SV7: $i] :
( ( ( ~ ( mrel @ mactual @ ( sK2_SY4 @ SV7 ) ) )
= $false )
| ( ( eiw_di @ SV7 @ mactual )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[32]) ).
thf(34,plain,
! [SV7: $i] :
( ( ( ! [SY10: $i] :
( ~ ( eiw_di @ SY10 @ ( sK2_SY4 @ SV7 ) )
| ! [SY11: mworld] :
( ~ ( mrel @ ( sK2_SY4 @ SV7 ) @ SY11 )
| ~ ! [SY7: mworld] :
( ~ ( mrel @ SY11 @ SY7 )
| ( big_p @ SV7 @ SY7 ) )
| ! [SY8: mworld] :
( ~ ( mrel @ SY11 @ SY8 )
| ( big_q @ SV7 @ SY8 ) )
| ! [SX4: mworld] :
( ~ ( mrel @ SY11 @ SX4 )
| ( big_p @ SY10 @ SX4 ) ) ) ) )
= $false )
| ( ( eiw_di @ SV7 @ mactual )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[32]) ).
thf(35,plain,
! [SV7: $i] :
( ( ( mrel @ mactual @ ( sK2_SY4 @ SV7 ) )
= $true )
| ( ( eiw_di @ SV7 @ mactual )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[33]) ).
thf(36,plain,
! [SV7: $i] :
( ( ( ~ ( eiw_di @ ( sK3_SY10 @ SV7 ) @ ( sK2_SY4 @ SV7 ) )
| ! [SY15: mworld] :
( ~ ( mrel @ ( sK2_SY4 @ SV7 ) @ SY15 )
| ~ ! [SY7: mworld] :
( ~ ( mrel @ SY15 @ SY7 )
| ( big_p @ SV7 @ SY7 ) )
| ! [SY8: mworld] :
( ~ ( mrel @ SY15 @ SY8 )
| ( big_q @ SV7 @ SY8 ) )
| ! [SY18: mworld] :
( ~ ( mrel @ SY15 @ SY18 )
| ( big_p @ ( sK3_SY10 @ SV7 ) @ SY18 ) ) ) )
= $false )
| ( ( eiw_di @ SV7 @ mactual )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[34]) ).
thf(37,plain,
! [SV7: $i] :
( ( ( ~ ( eiw_di @ ( sK3_SY10 @ SV7 ) @ ( sK2_SY4 @ SV7 ) ) )
= $false )
| ( ( eiw_di @ SV7 @ mactual )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[36]) ).
thf(38,plain,
! [SV7: $i] :
( ( ( ! [SY15: mworld] :
( ~ ( mrel @ ( sK2_SY4 @ SV7 ) @ SY15 )
| ~ ! [SY7: mworld] :
( ~ ( mrel @ SY15 @ SY7 )
| ( big_p @ SV7 @ SY7 ) )
| ! [SY8: mworld] :
( ~ ( mrel @ SY15 @ SY8 )
| ( big_q @ SV7 @ SY8 ) )
| ! [SY18: mworld] :
( ~ ( mrel @ SY15 @ SY18 )
| ( big_p @ ( sK3_SY10 @ SV7 ) @ SY18 ) ) ) )
= $false )
| ( ( eiw_di @ SV7 @ mactual )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[36]) ).
thf(39,plain,
! [SV7: $i] :
( ( ( eiw_di @ ( sK3_SY10 @ SV7 ) @ ( sK2_SY4 @ SV7 ) )
= $true )
| ( ( eiw_di @ SV7 @ mactual )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[37]) ).
thf(40,plain,
! [SV7: $i] :
( ( ( ~ ( mrel @ ( sK2_SY4 @ SV7 ) @ ( sK4_SY15 @ SV7 ) )
| ~ ! [SY19: mworld] :
( ~ ( mrel @ ( sK4_SY15 @ SV7 ) @ SY19 )
| ( big_p @ SV7 @ SY19 ) )
| ! [SY20: mworld] :
( ~ ( mrel @ ( sK4_SY15 @ SV7 ) @ SY20 )
| ( big_q @ SV7 @ SY20 ) )
| ! [SY21: mworld] :
( ~ ( mrel @ ( sK4_SY15 @ SV7 ) @ SY21 )
| ( big_p @ ( sK3_SY10 @ SV7 ) @ SY21 ) ) )
= $false )
| ( ( eiw_di @ SV7 @ mactual )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[38]) ).
thf(41,plain,
! [SV7: $i] :
( ( ( ~ ( mrel @ ( sK2_SY4 @ SV7 ) @ ( sK4_SY15 @ SV7 ) ) )
= $false )
| ( ( eiw_di @ SV7 @ mactual )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[40]) ).
thf(42,plain,
! [SV7: $i] :
( ( ( ~ ! [SY19: mworld] :
( ~ ( mrel @ ( sK4_SY15 @ SV7 ) @ SY19 )
| ( big_p @ SV7 @ SY19 ) )
| ! [SY20: mworld] :
( ~ ( mrel @ ( sK4_SY15 @ SV7 ) @ SY20 )
| ( big_q @ SV7 @ SY20 ) )
| ! [SY21: mworld] :
( ~ ( mrel @ ( sK4_SY15 @ SV7 ) @ SY21 )
| ( big_p @ ( sK3_SY10 @ SV7 ) @ SY21 ) ) )
= $false )
| ( ( eiw_di @ SV7 @ mactual )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[40]) ).
thf(43,plain,
! [SV7: $i] :
( ( ( mrel @ ( sK2_SY4 @ SV7 ) @ ( sK4_SY15 @ SV7 ) )
= $true )
| ( ( eiw_di @ SV7 @ mactual )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[41]) ).
thf(44,plain,
! [SV7: $i] :
( ( ( ~ ! [SY19: mworld] :
( ~ ( mrel @ ( sK4_SY15 @ SV7 ) @ SY19 )
| ( big_p @ SV7 @ SY19 ) ) )
= $false )
| ( ( eiw_di @ SV7 @ mactual )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[42]) ).
thf(45,plain,
! [SV7: $i] :
( ( ( ! [SY20: mworld] :
( ~ ( mrel @ ( sK4_SY15 @ SV7 ) @ SY20 )
| ( big_q @ SV7 @ SY20 ) )
| ! [SY21: mworld] :
( ~ ( mrel @ ( sK4_SY15 @ SV7 ) @ SY21 )
| ( big_p @ ( sK3_SY10 @ SV7 ) @ SY21 ) ) )
= $false )
| ( ( eiw_di @ SV7 @ mactual )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[42]) ).
thf(46,plain,
! [SV7: $i] :
( ( ( ! [SY19: mworld] :
( ~ ( mrel @ ( sK4_SY15 @ SV7 ) @ SY19 )
| ( big_p @ SV7 @ SY19 ) ) )
= $true )
| ( ( eiw_di @ SV7 @ mactual )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[44]) ).
thf(47,plain,
! [SV7: $i] :
( ( ( ! [SY20: mworld] :
( ~ ( mrel @ ( sK4_SY15 @ SV7 ) @ SY20 )
| ( big_q @ SV7 @ SY20 ) ) )
= $false )
| ( ( eiw_di @ SV7 @ mactual )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[45]) ).
thf(48,plain,
! [SV7: $i] :
( ( ( ! [SY21: mworld] :
( ~ ( mrel @ ( sK4_SY15 @ SV7 ) @ SY21 )
| ( big_p @ ( sK3_SY10 @ SV7 ) @ SY21 ) ) )
= $false )
| ( ( eiw_di @ SV7 @ mactual )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[45]) ).
thf(49,plain,
! [SV8: mworld,SV7: $i] :
( ( ( ~ ( mrel @ ( sK4_SY15 @ SV7 ) @ SV8 )
| ( big_p @ SV7 @ SV8 ) )
= $true )
| ( ( eiw_di @ SV7 @ mactual )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[46]) ).
thf(50,plain,
! [SV7: $i] :
( ( ( ~ ( mrel @ ( sK4_SY15 @ SV7 ) @ ( sK5_SY20 @ SV7 ) )
| ( big_q @ SV7 @ ( sK5_SY20 @ SV7 ) ) )
= $false )
| ( ( eiw_di @ SV7 @ mactual )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[47]) ).
thf(51,plain,
! [SV7: $i] :
( ( ( ~ ( mrel @ ( sK4_SY15 @ SV7 ) @ ( sK6_SY21 @ SV7 ) )
| ( big_p @ ( sK3_SY10 @ SV7 ) @ ( sK6_SY21 @ SV7 ) ) )
= $false )
| ( ( eiw_di @ SV7 @ mactual )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[48]) ).
thf(52,plain,
! [SV8: mworld,SV7: $i] :
( ( ( ~ ( mrel @ ( sK4_SY15 @ SV7 ) @ SV8 ) )
= $true )
| ( ( big_p @ SV7 @ SV8 )
= $true )
| ( ( eiw_di @ SV7 @ mactual )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[49]) ).
thf(53,plain,
! [SV7: $i] :
( ( ( ~ ( mrel @ ( sK4_SY15 @ SV7 ) @ ( sK5_SY20 @ SV7 ) ) )
= $false )
| ( ( eiw_di @ SV7 @ mactual )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[50]) ).
thf(54,plain,
! [SV7: $i] :
( ( ( big_q @ SV7 @ ( sK5_SY20 @ SV7 ) )
= $false )
| ( ( eiw_di @ SV7 @ mactual )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[50]) ).
thf(55,plain,
! [SV7: $i] :
( ( ( ~ ( mrel @ ( sK4_SY15 @ SV7 ) @ ( sK6_SY21 @ SV7 ) ) )
= $false )
| ( ( eiw_di @ SV7 @ mactual )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[51]) ).
thf(56,plain,
! [SV7: $i] :
( ( ( big_p @ ( sK3_SY10 @ SV7 ) @ ( sK6_SY21 @ SV7 ) )
= $false )
| ( ( eiw_di @ SV7 @ mactual )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[51]) ).
thf(57,plain,
! [SV8: mworld,SV7: $i] :
( ( ( mrel @ ( sK4_SY15 @ SV7 ) @ SV8 )
= $false )
| ( ( big_p @ SV7 @ SV8 )
= $true )
| ( ( eiw_di @ SV7 @ mactual )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[52]) ).
thf(58,plain,
! [SV7: $i] :
( ( ( mrel @ ( sK4_SY15 @ SV7 ) @ ( sK5_SY20 @ SV7 ) )
= $true )
| ( ( eiw_di @ SV7 @ mactual )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[53]) ).
thf(59,plain,
! [SV7: $i] :
( ( ( mrel @ ( sK4_SY15 @ SV7 ) @ ( sK6_SY21 @ SV7 ) )
= $true )
| ( ( eiw_di @ SV7 @ mactual )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[55]) ).
thf(60,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[15,59,58,57,56,54,43,39,35,29,18]) ).
thf(61,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[60]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL958^18 : TPTP v8.1.0. Released v8.1.0.
% 0.07/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.34 % Computer : n021.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jul 4 23:55:32 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.35
% 0.12/0.35 No.of.Axioms: 3
% 0.12/0.35
% 0.12/0.35 Length.of.Defs: 1613
% 0.12/0.35
% 0.12/0.35 Contains.Choice.Funs: false
% 0.12/0.36 (rf:0,axioms:3,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:5,loop_count:0,foatp_calls:0,translation:fof_full)....
% 0.20/0.42
% 0.20/0.42 ********************************
% 0.20/0.42 * All subproblems solved! *
% 0.20/0.42 ********************************
% 0.20/0.42 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:3,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:60,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.20/0.43
% 0.20/0.43 %**** Beginning of derivation protocol ****
% 0.20/0.43 % SZS output start CNFRefutation
% See solution above
% 0.20/0.43
% 0.20/0.43 %**** End of derivation protocol ****
% 0.20/0.43 %**** no. of clauses in derivation: 61 ****
% 0.20/0.43 %**** clause counter: 60 ****
% 0.20/0.43
% 0.20/0.43 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:3,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:60,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------