TSTP Solution File: LCL960^12 by LEO-II---1.7.0
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%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : LCL960^12 : 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 : Sun Jul 17 12:27:52 EDT 2022
% Result : Theorem 0.80s 1.01s
% Output : CNFRefutation 0.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 53
% Number of leaves : 39
% Syntax : Number of formulae : 189 ( 47 unt; 26 typ; 10 def)
% Number of atoms : 3267 ( 798 equ; 0 cnn)
% Maximal formula atoms : 38 ( 20 avg)
% Number of connectives : 6916 (1164 ~;1367 |; 3 &;4378 @)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 8 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 97 ( 97 >; 0 *; 0 +; 0 <<)
% Number of symbols : 28 ( 25 usr; 6 con; 0-6 aty)
% Number of variables : 1139 ( 43 ^1093 !; 3 ?;1139 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_mworld,type,
mworld: $tType ).
thf(tp_eiw_di,type,
eiw_di: $i > mworld > $o ).
thf(tp_f,type,
f: $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_sK10_SY99,type,
sK10_SY99: mworld > mworld > $i > mworld > $i > mworld > mworld ).
thf(tp_sK11_SY100,type,
sK11_SY100: $i > mworld > mworld > mworld > $i > mworld > mworld ).
thf(tp_sK1_X,type,
sK1_X: mworld > $i ).
thf(tp_sK2_SX0,type,
sK2_SX0: mworld ).
thf(tp_sK3_SY16,type,
sK3_SY16: mworld ).
thf(tp_sK4_SY21,type,
sK4_SY21: $i ).
thf(tp_sK5_SY39,type,
sK5_SY39: $i > mworld > $i ).
thf(tp_sK6_SY91,type,
sK6_SY91: mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK7_SY95,type,
sK7_SY95: mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK8_SY96,type,
sK8_SY96: mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK9_SY96,type,
sK9_SY96: $i > mworld > mworld > $i > mworld > mworld ).
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,
! [W: mworld] :
? [X: $i] : ( eiw_di @ X @ W ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',eiw_di_nonempty) ).
thf(2,axiom,
! [W: mworld,V: mworld] : ( mrel @ W @ V ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mrel_universal) ).
thf(3,conjecture,
( mlocal
@ ( mbox
@ ( mimplies
@ ( mbox
@ ( mforall_di
@ ^ [Z: $i] :
( mexists_di
@ ^ [Y: $i] :
( mbox
@ ( mforall_di
@ ^ [X: $i] : ( mand @ ( mbox @ ( mimplies @ ( mbox @ ( f @ X @ Y ) ) @ ( mand @ ( mbox @ ( f @ X @ Z ) ) @ ( mbox @ ( mnot @ ( mbox @ ( f @ X @ X ) ) ) ) ) ) ) @ ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( f @ X @ Z ) ) @ ( mbox @ ( mnot @ ( mbox @ ( f @ X @ X ) ) ) ) ) @ ( mbox @ ( f @ X @ Y ) ) ) ) ) ) ) ) ) )
@ ( mbox
@ ( mnot
@ ( mexists_di
@ ^ [V: $i] :
( mbox
@ ( mforall_di
@ ^ [U: $i] : ( mbox @ ( f @ U @ V ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kalish256) ).
thf(4,negated_conjecture,
( ( mlocal
@ ( mbox
@ ( mimplies
@ ( mbox
@ ( mforall_di
@ ^ [Z: $i] :
( mexists_di
@ ^ [Y: $i] :
( mbox
@ ( mforall_di
@ ^ [X: $i] : ( mand @ ( mbox @ ( mimplies @ ( mbox @ ( f @ X @ Y ) ) @ ( mand @ ( mbox @ ( f @ X @ Z ) ) @ ( mbox @ ( mnot @ ( mbox @ ( f @ X @ X ) ) ) ) ) ) ) @ ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( f @ X @ Z ) ) @ ( mbox @ ( mnot @ ( mbox @ ( f @ X @ X ) ) ) ) ) @ ( mbox @ ( f @ X @ Y ) ) ) ) ) ) ) ) ) )
@ ( mbox
@ ( mnot
@ ( mexists_di
@ ^ [V: $i] :
( mbox
@ ( mforall_di
@ ^ [U: $i] : ( mbox @ ( f @ U @ V ) ) ) ) ) ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[3]) ).
thf(5,plain,
( ( ~ ( mlocal
@ ( mbox
@ ( mimplies
@ ( mbox
@ ( mforall_di
@ ^ [Z: $i] :
( mexists_di
@ ^ [Y: $i] :
( mbox
@ ( mforall_di
@ ^ [X: $i] : ( mand @ ( mbox @ ( mimplies @ ( mbox @ ( f @ X @ Y ) ) @ ( mand @ ( mbox @ ( f @ X @ Z ) ) @ ( mbox @ ( mnot @ ( mbox @ ( f @ X @ X ) ) ) ) ) ) ) @ ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( f @ X @ Z ) ) @ ( mbox @ ( mnot @ ( mbox @ ( f @ X @ X ) ) ) ) ) @ ( mbox @ ( f @ X @ Y ) ) ) ) ) ) ) ) ) )
@ ( mbox
@ ( mnot
@ ( mexists_di
@ ^ [V: $i] :
( mbox
@ ( mforall_di
@ ^ [U: $i] : ( mbox @ ( f @ U @ V ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[4]) ).
thf(6,plain,
( ( ! [W: mworld] : ( eiw_di @ ( sK1_X @ W ) @ W ) )
= $true ),
inference(extcnf_combined,[status(esa)],[1]) ).
thf(7,plain,
( ( ! [W: mworld,V: mworld] : ( mrel @ W @ V ) )
= $true ),
inference(copy,[status(thm)],[2]) ).
thf(8,plain,
( ( ! [W: mworld] : ( eiw_di @ ( sK1_X @ W ) @ W ) )
= $true ),
inference(copy,[status(thm)],[6]) ).
thf(9,plain,
( ( ~ ( mlocal
@ ( mbox
@ ( mimplies
@ ( mbox
@ ( mforall_di
@ ^ [Z: $i] :
( mexists_di
@ ^ [Y: $i] :
( mbox
@ ( mforall_di
@ ^ [X: $i] : ( mand @ ( mbox @ ( mimplies @ ( mbox @ ( f @ X @ Y ) ) @ ( mand @ ( mbox @ ( f @ X @ Z ) ) @ ( mbox @ ( mnot @ ( mbox @ ( f @ X @ X ) ) ) ) ) ) ) @ ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( f @ X @ Z ) ) @ ( mbox @ ( mnot @ ( mbox @ ( f @ X @ X ) ) ) ) ) @ ( mbox @ ( f @ X @ Y ) ) ) ) ) ) ) ) ) )
@ ( mbox
@ ( mnot
@ ( mexists_di
@ ^ [V: $i] :
( mbox
@ ( mforall_di
@ ^ [U: $i] : ( mbox @ ( f @ U @ V ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[5]) ).
thf(10,plain,
( ( ~ ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( eiw_di @ SX2 @ SX1 )
| ~ ! [SX3: $i] :
~ ~ ( ~ ( eiw_di @ SX3 @ SX1 )
| ~ ! [SX4: mworld] :
( ~ ( mrel @ SX1 @ SX4 )
| ! [SX5: $i] :
( ~ ( eiw_di @ SX5 @ SX4 )
| ~ ( ~ ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( f @ SX5 @ SX3 @ SX7 ) )
| ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( f @ SX5 @ SX2 @ SX7 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( f @ SX5 @ SX5 @ SX8 ) ) ) ) )
| ~ ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( f @ SX5 @ SX2 @ SX7 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( f @ SX5 @ SX5 @ SX8 ) ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( f @ SX5 @ SX3 @ SX7 ) ) ) ) ) ) ) ) )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ~ ! [SX2: $i] :
~ ~ ( ~ ( eiw_di @ SX2 @ SX1 )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SX1 @ SX3 )
| ! [SX4: $i] :
( ~ ( eiw_di @ SX4 @ SX3 )
| ! [SX5: mworld] :
( ~ ( mrel @ SX3 @ SX5 )
| ( f @ SX4 @ SX2 @ SX5 ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(11,plain,
! [SV1: mworld] :
( ( ! [SY0: mworld] : ( mrel @ SV1 @ SY0 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[7]) ).
thf(12,plain,
! [SV2: mworld] :
( ( eiw_di @ ( sK1_X @ SV2 ) @ SV2 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[8]) ).
thf(13,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( eiw_di @ SX2 @ SX1 )
| ~ ! [SX3: $i] :
~ ~ ( ~ ( eiw_di @ SX3 @ SX1 )
| ~ ! [SX4: mworld] :
( ~ ( mrel @ SX1 @ SX4 )
| ! [SX5: $i] :
( ~ ( eiw_di @ SX5 @ SX4 )
| ~ ( ~ ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( f @ SX5 @ SX3 @ SX7 ) )
| ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( f @ SX5 @ SX2 @ SX7 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( f @ SX5 @ SX5 @ SX8 ) ) ) ) )
| ~ ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( f @ SX5 @ SX2 @ SX7 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( f @ SX5 @ SX5 @ SX8 ) ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( f @ SX5 @ SX3 @ SX7 ) ) ) ) ) ) ) ) )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ~ ! [SX2: $i] :
~ ~ ( ~ ( eiw_di @ SX2 @ SX1 )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SX1 @ SX3 )
| ! [SX4: $i] :
( ~ ( eiw_di @ SX4 @ SX3 )
| ! [SX5: mworld] :
( ~ ( mrel @ SX3 @ SX5 )
| ( f @ SX4 @ SX2 @ SX5 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[10]) ).
thf(14,plain,
! [SV3: mworld,SV1: mworld] :
( ( mrel @ SV1 @ SV3 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[11]) ).
thf(15,plain,
( ( ~ ( mrel @ mactual @ sK2_SX0 )
| ~ ! [SY1: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY1 )
| ! [SX2: $i] :
( ~ ( eiw_di @ SX2 @ SY1 )
| ~ ! [SX3: $i] :
~ ~ ( ~ ( eiw_di @ SX3 @ SY1 )
| ~ ! [SX4: mworld] :
( ~ ( mrel @ SY1 @ SX4 )
| ! [SX5: $i] :
( ~ ( eiw_di @ SX5 @ SX4 )
| ~ ( ~ ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( f @ SX5 @ SX3 @ SX7 ) )
| ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( f @ SX5 @ SX2 @ SX7 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( f @ SX5 @ SX5 @ SX8 ) ) ) ) )
| ~ ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( f @ SX5 @ SX2 @ SX7 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( f @ SX5 @ SX5 @ SX8 ) ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( f @ SX5 @ SX3 @ SX7 ) ) ) ) ) ) ) ) )
| ! [SY16: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY16 )
| ~ ~ ! [SX2: $i] :
~ ~ ( ~ ( eiw_di @ SX2 @ SY16 )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SY16 @ SX3 )
| ! [SX4: $i] :
( ~ ( eiw_di @ SX4 @ SX3 )
| ! [SX5: mworld] :
( ~ ( mrel @ SX3 @ SX5 )
| ( f @ SX4 @ SX2 @ SX5 ) ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[13]) ).
thf(16,plain,
( ( ~ ( mrel @ mactual @ sK2_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[15]) ).
thf(17,plain,
( ( ~ ! [SY1: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY1 )
| ! [SX2: $i] :
( ~ ( eiw_di @ SX2 @ SY1 )
| ~ ! [SX3: $i] :
~ ~ ( ~ ( eiw_di @ SX3 @ SY1 )
| ~ ! [SX4: mworld] :
( ~ ( mrel @ SY1 @ SX4 )
| ! [SX5: $i] :
( ~ ( eiw_di @ SX5 @ SX4 )
| ~ ( ~ ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( f @ SX5 @ SX3 @ SX7 ) )
| ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( f @ SX5 @ SX2 @ SX7 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( f @ SX5 @ SX5 @ SX8 ) ) ) ) )
| ~ ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( f @ SX5 @ SX2 @ SX7 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( f @ SX5 @ SX5 @ SX8 ) ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( f @ SX5 @ SX3 @ SX7 ) ) ) ) ) ) ) ) )
| ! [SY16: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY16 )
| ~ ~ ! [SX2: $i] :
~ ~ ( ~ ( eiw_di @ SX2 @ SY16 )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SY16 @ SX3 )
| ! [SX4: $i] :
( ~ ( eiw_di @ SX4 @ SX3 )
| ! [SX5: mworld] :
( ~ ( mrel @ SX3 @ SX5 )
| ( f @ SX4 @ SX2 @ SX5 ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[15]) ).
thf(18,plain,
( ( mrel @ mactual @ sK2_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[16]) ).
thf(19,plain,
( ( ~ ! [SY1: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY1 )
| ! [SX2: $i] :
( ~ ( eiw_di @ SX2 @ SY1 )
| ~ ! [SX3: $i] :
~ ~ ( ~ ( eiw_di @ SX3 @ SY1 )
| ~ ! [SX4: mworld] :
( ~ ( mrel @ SY1 @ SX4 )
| ! [SX5: $i] :
( ~ ( eiw_di @ SX5 @ SX4 )
| ~ ( ~ ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( f @ SX5 @ SX3 @ SX7 ) )
| ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( f @ SX5 @ SX2 @ SX7 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( f @ SX5 @ SX5 @ SX8 ) ) ) ) )
| ~ ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( f @ SX5 @ SX2 @ SX7 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( f @ SX5 @ SX5 @ SX8 ) ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( f @ SX5 @ SX3 @ SX7 ) ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[17]) ).
thf(20,plain,
( ( ! [SY16: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY16 )
| ~ ~ ! [SX2: $i] :
~ ~ ( ~ ( eiw_di @ SX2 @ SY16 )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SY16 @ SX3 )
| ! [SX4: $i] :
( ~ ( eiw_di @ SX4 @ SX3 )
| ! [SX5: mworld] :
( ~ ( mrel @ SX3 @ SX5 )
| ( f @ SX4 @ SX2 @ SX5 ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[17]) ).
thf(21,plain,
( ( ! [SY1: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY1 )
| ! [SX2: $i] :
( ~ ( eiw_di @ SX2 @ SY1 )
| ~ ! [SX3: $i] :
~ ~ ( ~ ( eiw_di @ SX3 @ SY1 )
| ~ ! [SX4: mworld] :
( ~ ( mrel @ SY1 @ SX4 )
| ! [SX5: $i] :
( ~ ( eiw_di @ SX5 @ SX4 )
| ~ ( ~ ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( f @ SX5 @ SX3 @ SX7 ) )
| ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( f @ SX5 @ SX2 @ SX7 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( f @ SX5 @ SX5 @ SX8 ) ) ) ) )
| ~ ! [SX6: mworld] :
( ~ ( mrel @ SX4 @ SX6 )
| ~ ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( f @ SX5 @ SX2 @ SX7 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( f @ SX5 @ SX5 @ SX8 ) ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( f @ SX5 @ SX3 @ SX7 ) ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[19]) ).
thf(22,plain,
( ( ~ ( mrel @ sK2_SX0 @ sK3_SY16 )
| ~ ~ ! [SY21: $i] :
~ ~ ( ~ ( eiw_di @ SY21 @ sK3_SY16 )
| ~ ! [SY22: mworld] :
( ~ ( mrel @ sK3_SY16 @ SY22 )
| ! [SX4: $i] :
( ~ ( eiw_di @ SX4 @ SY22 )
| ! [SX5: mworld] :
( ~ ( mrel @ SY22 @ SX5 )
| ( f @ SX4 @ SY21 @ SX5 ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[20]) ).
thf(23,plain,
! [SV4: mworld] :
( ( ~ ( mrel @ sK2_SX0 @ SV4 )
| ! [SY25: $i] :
( ~ ( eiw_di @ SY25 @ SV4 )
| ~ ! [SY26: $i] :
~ ~ ( ~ ( eiw_di @ SY26 @ SV4 )
| ~ ! [SY27: mworld] :
( ~ ( mrel @ SV4 @ SY27 )
| ! [SX5: $i] :
( ~ ( eiw_di @ SX5 @ SY27 )
| ~ ( ~ ! [SX6: mworld] :
( ~ ( mrel @ SY27 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( f @ SX5 @ SY26 @ SX7 ) )
| ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( f @ SX5 @ SY25 @ SX7 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( f @ SX5 @ SX5 @ SX8 ) ) ) ) )
| ~ ! [SX6: mworld] :
( ~ ( mrel @ SY27 @ SX6 )
| ~ ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( f @ SX5 @ SY25 @ SX7 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( f @ SX5 @ SX5 @ SX8 ) ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( f @ SX5 @ SY26 @ SX7 ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[21]) ).
thf(24,plain,
( ( ~ ( mrel @ sK2_SX0 @ sK3_SY16 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[22]) ).
thf(25,plain,
( ( ~ ~ ! [SY21: $i] :
~ ~ ( ~ ( eiw_di @ SY21 @ sK3_SY16 )
| ~ ! [SY22: mworld] :
( ~ ( mrel @ sK3_SY16 @ SY22 )
| ! [SX4: $i] :
( ~ ( eiw_di @ SX4 @ SY22 )
| ! [SX5: mworld] :
( ~ ( mrel @ SY22 @ SX5 )
| ( f @ SX4 @ SY21 @ SX5 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[22]) ).
thf(26,plain,
! [SV4: mworld] :
( ( ( ~ ( mrel @ sK2_SX0 @ SV4 ) )
= $true )
| ( ( ! [SY25: $i] :
( ~ ( eiw_di @ SY25 @ SV4 )
| ~ ! [SY26: $i] :
~ ~ ( ~ ( eiw_di @ SY26 @ SV4 )
| ~ ! [SY27: mworld] :
( ~ ( mrel @ SV4 @ SY27 )
| ! [SX5: $i] :
( ~ ( eiw_di @ SX5 @ SY27 )
| ~ ( ~ ! [SX6: mworld] :
( ~ ( mrel @ SY27 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( f @ SX5 @ SY26 @ SX7 ) )
| ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( f @ SX5 @ SY25 @ SX7 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( f @ SX5 @ SX5 @ SX8 ) ) ) ) )
| ~ ! [SX6: mworld] :
( ~ ( mrel @ SY27 @ SX6 )
| ~ ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( f @ SX5 @ SY25 @ SX7 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( f @ SX5 @ SX5 @ SX8 ) ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( f @ SX5 @ SY26 @ SX7 ) ) ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[23]) ).
thf(27,plain,
( ( mrel @ sK2_SX0 @ sK3_SY16 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[24]) ).
thf(28,plain,
( ( ~ ! [SY21: $i] :
~ ~ ( ~ ( eiw_di @ SY21 @ sK3_SY16 )
| ~ ! [SY22: mworld] :
( ~ ( mrel @ sK3_SY16 @ SY22 )
| ! [SX4: $i] :
( ~ ( eiw_di @ SX4 @ SY22 )
| ! [SX5: mworld] :
( ~ ( mrel @ SY22 @ SX5 )
| ( f @ SX4 @ SY21 @ SX5 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[25]) ).
thf(29,plain,
! [SV4: mworld] :
( ( ( mrel @ sK2_SX0 @ SV4 )
= $false )
| ( ( ! [SY25: $i] :
( ~ ( eiw_di @ SY25 @ SV4 )
| ~ ! [SY26: $i] :
~ ~ ( ~ ( eiw_di @ SY26 @ SV4 )
| ~ ! [SY27: mworld] :
( ~ ( mrel @ SV4 @ SY27 )
| ! [SX5: $i] :
( ~ ( eiw_di @ SX5 @ SY27 )
| ~ ( ~ ! [SX6: mworld] :
( ~ ( mrel @ SY27 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( f @ SX5 @ SY26 @ SX7 ) )
| ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( f @ SX5 @ SY25 @ SX7 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( f @ SX5 @ SX5 @ SX8 ) ) ) ) )
| ~ ! [SX6: mworld] :
( ~ ( mrel @ SY27 @ SX6 )
| ~ ~ ( ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( f @ SX5 @ SY25 @ SX7 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( f @ SX5 @ SX5 @ SX8 ) ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( f @ SX5 @ SY26 @ SX7 ) ) ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[26]) ).
thf(30,plain,
( ( ! [SY21: $i] :
~ ~ ( ~ ( eiw_di @ SY21 @ sK3_SY16 )
| ~ ! [SY22: mworld] :
( ~ ( mrel @ sK3_SY16 @ SY22 )
| ! [SX4: $i] :
( ~ ( eiw_di @ SX4 @ SY22 )
| ! [SX5: mworld] :
( ~ ( mrel @ SY22 @ SX5 )
| ( f @ SX4 @ SY21 @ SX5 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[28]) ).
thf(31,plain,
! [SV4: mworld,SV5: $i] :
( ( ( ~ ( eiw_di @ SV5 @ SV4 )
| ~ ! [SY39: $i] :
~ ~ ( ~ ( eiw_di @ SY39 @ SV4 )
| ~ ! [SY40: mworld] :
( ~ ( mrel @ SV4 @ SY40 )
| ! [SY41: $i] :
( ~ ( eiw_di @ SY41 @ SY40 )
| ~ ( ~ ! [SY42: mworld] :
( ~ ( mrel @ SY40 @ SY42 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SY42 @ SX7 )
| ( f @ SY41 @ SY39 @ SX7 ) )
| ~ ( ~ ! [SY44: mworld] :
( ~ ( mrel @ SY42 @ SY44 )
| ( f @ SY41 @ SV5 @ SY44 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SY42 @ SX7 )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( f @ SY41 @ SY41 @ SX8 ) ) ) ) )
| ~ ! [SY47: mworld] :
( ~ ( mrel @ SY40 @ SY47 )
| ~ ~ ( ~ ! [SY48: mworld] :
( ~ ( mrel @ SY47 @ SY48 )
| ( f @ SY41 @ SV5 @ SY48 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SY47 @ SX7 )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( f @ SY41 @ SY41 @ SX8 ) ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY47 @ SX7 )
| ( f @ SY41 @ SY39 @ SX7 ) ) ) ) ) ) ) )
= $true )
| ( ( mrel @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[29]) ).
thf(32,plain,
( ( ~ ~ ( ~ ( eiw_di @ sK4_SY21 @ sK3_SY16 )
| ~ ! [SY52: mworld] :
( ~ ( mrel @ sK3_SY16 @ SY52 )
| ! [SY53: $i] :
( ~ ( eiw_di @ SY53 @ SY52 )
| ! [SY54: mworld] :
( ~ ( mrel @ SY52 @ SY54 )
| ( f @ SY53 @ sK4_SY21 @ SY54 ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[30]) ).
thf(33,plain,
! [SV4: mworld,SV5: $i] :
( ( ( ~ ( eiw_di @ SV5 @ SV4 ) )
= $true )
| ( ( ~ ! [SY39: $i] :
~ ~ ( ~ ( eiw_di @ SY39 @ SV4 )
| ~ ! [SY40: mworld] :
( ~ ( mrel @ SV4 @ SY40 )
| ! [SY41: $i] :
( ~ ( eiw_di @ SY41 @ SY40 )
| ~ ( ~ ! [SY42: mworld] :
( ~ ( mrel @ SY40 @ SY42 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SY42 @ SX7 )
| ( f @ SY41 @ SY39 @ SX7 ) )
| ~ ( ~ ! [SY44: mworld] :
( ~ ( mrel @ SY42 @ SY44 )
| ( f @ SY41 @ SV5 @ SY44 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SY42 @ SX7 )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( f @ SY41 @ SY41 @ SX8 ) ) ) ) )
| ~ ! [SY47: mworld] :
( ~ ( mrel @ SY40 @ SY47 )
| ~ ~ ( ~ ! [SY48: mworld] :
( ~ ( mrel @ SY47 @ SY48 )
| ( f @ SY41 @ SV5 @ SY48 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SY47 @ SX7 )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( f @ SY41 @ SY41 @ SX8 ) ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY47 @ SX7 )
| ( f @ SY41 @ SY39 @ SX7 ) ) ) ) ) ) ) )
= $true )
| ( ( mrel @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[31]) ).
thf(34,plain,
( ( ~ ( ~ ( eiw_di @ sK4_SY21 @ sK3_SY16 )
| ~ ! [SY52: mworld] :
( ~ ( mrel @ sK3_SY16 @ SY52 )
| ! [SY53: $i] :
( ~ ( eiw_di @ SY53 @ SY52 )
| ! [SY54: mworld] :
( ~ ( mrel @ SY52 @ SY54 )
| ( f @ SY53 @ sK4_SY21 @ SY54 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[32]) ).
thf(35,plain,
! [SV4: mworld,SV5: $i] :
( ( ( eiw_di @ SV5 @ SV4 )
= $false )
| ( ( ~ ! [SY39: $i] :
~ ~ ( ~ ( eiw_di @ SY39 @ SV4 )
| ~ ! [SY40: mworld] :
( ~ ( mrel @ SV4 @ SY40 )
| ! [SY41: $i] :
( ~ ( eiw_di @ SY41 @ SY40 )
| ~ ( ~ ! [SY42: mworld] :
( ~ ( mrel @ SY40 @ SY42 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SY42 @ SX7 )
| ( f @ SY41 @ SY39 @ SX7 ) )
| ~ ( ~ ! [SY44: mworld] :
( ~ ( mrel @ SY42 @ SY44 )
| ( f @ SY41 @ SV5 @ SY44 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SY42 @ SX7 )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( f @ SY41 @ SY41 @ SX8 ) ) ) ) )
| ~ ! [SY47: mworld] :
( ~ ( mrel @ SY40 @ SY47 )
| ~ ~ ( ~ ! [SY48: mworld] :
( ~ ( mrel @ SY47 @ SY48 )
| ( f @ SY41 @ SV5 @ SY48 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SY47 @ SX7 )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( f @ SY41 @ SY41 @ SX8 ) ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY47 @ SX7 )
| ( f @ SY41 @ SY39 @ SX7 ) ) ) ) ) ) ) )
= $true )
| ( ( mrel @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[33]) ).
thf(36,plain,
( ( ~ ( eiw_di @ sK4_SY21 @ sK3_SY16 )
| ~ ! [SY52: mworld] :
( ~ ( mrel @ sK3_SY16 @ SY52 )
| ! [SY53: $i] :
( ~ ( eiw_di @ SY53 @ SY52 )
| ! [SY54: mworld] :
( ~ ( mrel @ SY52 @ SY54 )
| ( f @ SY53 @ sK4_SY21 @ SY54 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[34]) ).
thf(37,plain,
! [SV5: $i,SV4: mworld] :
( ( ( ! [SY39: $i] :
~ ~ ( ~ ( eiw_di @ SY39 @ SV4 )
| ~ ! [SY40: mworld] :
( ~ ( mrel @ SV4 @ SY40 )
| ! [SY41: $i] :
( ~ ( eiw_di @ SY41 @ SY40 )
| ~ ( ~ ! [SY42: mworld] :
( ~ ( mrel @ SY40 @ SY42 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SY42 @ SX7 )
| ( f @ SY41 @ SY39 @ SX7 ) )
| ~ ( ~ ! [SY44: mworld] :
( ~ ( mrel @ SY42 @ SY44 )
| ( f @ SY41 @ SV5 @ SY44 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SY42 @ SX7 )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( f @ SY41 @ SY41 @ SX8 ) ) ) ) )
| ~ ! [SY47: mworld] :
( ~ ( mrel @ SY40 @ SY47 )
| ~ ~ ( ~ ! [SY48: mworld] :
( ~ ( mrel @ SY47 @ SY48 )
| ( f @ SY41 @ SV5 @ SY48 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SY47 @ SX7 )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( f @ SY41 @ SY41 @ SX8 ) ) ) )
| ! [SX7: mworld] :
( ~ ( mrel @ SY47 @ SX7 )
| ( f @ SY41 @ SY39 @ SX7 ) ) ) ) ) ) ) )
= $false )
| ( ( eiw_di @ SV5 @ SV4 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[35]) ).
thf(38,plain,
( ( ~ ( eiw_di @ sK4_SY21 @ sK3_SY16 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[36]) ).
thf(39,plain,
( ( ~ ! [SY52: mworld] :
( ~ ( mrel @ sK3_SY16 @ SY52 )
| ! [SY53: $i] :
( ~ ( eiw_di @ SY53 @ SY52 )
| ! [SY54: mworld] :
( ~ ( mrel @ SY52 @ SY54 )
| ( f @ SY53 @ sK4_SY21 @ SY54 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[36]) ).
thf(40,plain,
! [SV4: mworld,SV5: $i] :
( ( ( ~ ~ ( ~ ( eiw_di @ ( sK5_SY39 @ SV5 @ SV4 ) @ SV4 )
| ~ ! [SY55: mworld] :
( ~ ( mrel @ SV4 @ SY55 )
| ! [SY56: $i] :
( ~ ( eiw_di @ SY56 @ SY55 )
| ~ ( ~ ! [SY57: mworld] :
( ~ ( mrel @ SY55 @ SY57 )
| ~ ! [SY58: mworld] :
( ~ ( mrel @ SY57 @ SY58 )
| ( f @ SY56 @ ( sK5_SY39 @ SV5 @ SV4 ) @ SY58 ) )
| ~ ( ~ ! [SY44: mworld] :
( ~ ( mrel @ SY57 @ SY44 )
| ( f @ SY56 @ SV5 @ SY44 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SY57 @ SX7 )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( f @ SY56 @ SY56 @ SX8 ) ) ) ) )
| ~ ! [SY62: mworld] :
( ~ ( mrel @ SY55 @ SY62 )
| ~ ~ ( ~ ! [SY48: mworld] :
( ~ ( mrel @ SY62 @ SY48 )
| ( f @ SY56 @ SV5 @ SY48 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SY62 @ SX7 )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( f @ SY56 @ SY56 @ SX8 ) ) ) )
| ! [SY66: mworld] :
( ~ ( mrel @ SY62 @ SY66 )
| ( f @ SY56 @ ( sK5_SY39 @ SV5 @ SV4 ) @ SY66 ) ) ) ) ) ) ) )
= $false )
| ( ( eiw_di @ SV5 @ SV4 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[37]) ).
thf(41,plain,
( ( eiw_di @ sK4_SY21 @ sK3_SY16 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[38]) ).
thf(42,plain,
( ( ! [SY52: mworld] :
( ~ ( mrel @ sK3_SY16 @ SY52 )
| ! [SY53: $i] :
( ~ ( eiw_di @ SY53 @ SY52 )
| ! [SY54: mworld] :
( ~ ( mrel @ SY52 @ SY54 )
| ( f @ SY53 @ sK4_SY21 @ SY54 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[39]) ).
thf(43,plain,
! [SV4: mworld,SV5: $i] :
( ( ( ~ ( ~ ( eiw_di @ ( sK5_SY39 @ SV5 @ SV4 ) @ SV4 )
| ~ ! [SY55: mworld] :
( ~ ( mrel @ SV4 @ SY55 )
| ! [SY56: $i] :
( ~ ( eiw_di @ SY56 @ SY55 )
| ~ ( ~ ! [SY57: mworld] :
( ~ ( mrel @ SY55 @ SY57 )
| ~ ! [SY58: mworld] :
( ~ ( mrel @ SY57 @ SY58 )
| ( f @ SY56 @ ( sK5_SY39 @ SV5 @ SV4 ) @ SY58 ) )
| ~ ( ~ ! [SY44: mworld] :
( ~ ( mrel @ SY57 @ SY44 )
| ( f @ SY56 @ SV5 @ SY44 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SY57 @ SX7 )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( f @ SY56 @ SY56 @ SX8 ) ) ) ) )
| ~ ! [SY62: mworld] :
( ~ ( mrel @ SY55 @ SY62 )
| ~ ~ ( ~ ! [SY48: mworld] :
( ~ ( mrel @ SY62 @ SY48 )
| ( f @ SY56 @ SV5 @ SY48 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SY62 @ SX7 )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( f @ SY56 @ SY56 @ SX8 ) ) ) )
| ! [SY66: mworld] :
( ~ ( mrel @ SY62 @ SY66 )
| ( f @ SY56 @ ( sK5_SY39 @ SV5 @ SV4 ) @ SY66 ) ) ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV5 @ SV4 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[40]) ).
thf(44,plain,
! [SV6: mworld] :
( ( ~ ( mrel @ sK3_SY16 @ SV6 )
| ! [SY67: $i] :
( ~ ( eiw_di @ SY67 @ SV6 )
| ! [SY68: mworld] :
( ~ ( mrel @ SV6 @ SY68 )
| ( f @ SY67 @ sK4_SY21 @ SY68 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[42]) ).
thf(45,plain,
! [SV4: mworld,SV5: $i] :
( ( ( ~ ( eiw_di @ ( sK5_SY39 @ SV5 @ SV4 ) @ SV4 )
| ~ ! [SY55: mworld] :
( ~ ( mrel @ SV4 @ SY55 )
| ! [SY56: $i] :
( ~ ( eiw_di @ SY56 @ SY55 )
| ~ ( ~ ! [SY57: mworld] :
( ~ ( mrel @ SY55 @ SY57 )
| ~ ! [SY58: mworld] :
( ~ ( mrel @ SY57 @ SY58 )
| ( f @ SY56 @ ( sK5_SY39 @ SV5 @ SV4 ) @ SY58 ) )
| ~ ( ~ ! [SY44: mworld] :
( ~ ( mrel @ SY57 @ SY44 )
| ( f @ SY56 @ SV5 @ SY44 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SY57 @ SX7 )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( f @ SY56 @ SY56 @ SX8 ) ) ) ) )
| ~ ! [SY62: mworld] :
( ~ ( mrel @ SY55 @ SY62 )
| ~ ~ ( ~ ! [SY48: mworld] :
( ~ ( mrel @ SY62 @ SY48 )
| ( f @ SY56 @ SV5 @ SY48 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SY62 @ SX7 )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( f @ SY56 @ SY56 @ SX8 ) ) ) )
| ! [SY66: mworld] :
( ~ ( mrel @ SY62 @ SY66 )
| ( f @ SY56 @ ( sK5_SY39 @ SV5 @ SV4 ) @ SY66 ) ) ) ) ) ) )
= $false )
| ( ( eiw_di @ SV5 @ SV4 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[43]) ).
thf(46,plain,
! [SV6: mworld] :
( ( ( ~ ( mrel @ sK3_SY16 @ SV6 ) )
= $true )
| ( ( ! [SY67: $i] :
( ~ ( eiw_di @ SY67 @ SV6 )
| ! [SY68: mworld] :
( ~ ( mrel @ SV6 @ SY68 )
| ( f @ SY67 @ sK4_SY21 @ SY68 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[44]) ).
thf(47,plain,
! [SV4: mworld,SV5: $i] :
( ( ( ~ ( eiw_di @ ( sK5_SY39 @ SV5 @ SV4 ) @ SV4 ) )
= $false )
| ( ( eiw_di @ SV5 @ SV4 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[45]) ).
thf(48,plain,
! [SV5: $i,SV4: mworld] :
( ( ( ~ ! [SY55: mworld] :
( ~ ( mrel @ SV4 @ SY55 )
| ! [SY56: $i] :
( ~ ( eiw_di @ SY56 @ SY55 )
| ~ ( ~ ! [SY57: mworld] :
( ~ ( mrel @ SY55 @ SY57 )
| ~ ! [SY58: mworld] :
( ~ ( mrel @ SY57 @ SY58 )
| ( f @ SY56 @ ( sK5_SY39 @ SV5 @ SV4 ) @ SY58 ) )
| ~ ( ~ ! [SY44: mworld] :
( ~ ( mrel @ SY57 @ SY44 )
| ( f @ SY56 @ SV5 @ SY44 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SY57 @ SX7 )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( f @ SY56 @ SY56 @ SX8 ) ) ) ) )
| ~ ! [SY62: mworld] :
( ~ ( mrel @ SY55 @ SY62 )
| ~ ~ ( ~ ! [SY48: mworld] :
( ~ ( mrel @ SY62 @ SY48 )
| ( f @ SY56 @ SV5 @ SY48 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SY62 @ SX7 )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( f @ SY56 @ SY56 @ SX8 ) ) ) )
| ! [SY66: mworld] :
( ~ ( mrel @ SY62 @ SY66 )
| ( f @ SY56 @ ( sK5_SY39 @ SV5 @ SV4 ) @ SY66 ) ) ) ) ) ) )
= $false )
| ( ( eiw_di @ SV5 @ SV4 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[45]) ).
thf(49,plain,
! [SV6: mworld] :
( ( ( mrel @ sK3_SY16 @ SV6 )
= $false )
| ( ( ! [SY67: $i] :
( ~ ( eiw_di @ SY67 @ SV6 )
| ! [SY68: mworld] :
( ~ ( mrel @ SV6 @ SY68 )
| ( f @ SY67 @ sK4_SY21 @ SY68 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[46]) ).
thf(50,plain,
! [SV4: mworld,SV5: $i] :
( ( ( eiw_di @ ( sK5_SY39 @ SV5 @ SV4 ) @ SV4 )
= $true )
| ( ( eiw_di @ SV5 @ SV4 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[47]) ).
thf(51,plain,
! [SV5: $i,SV4: mworld] :
( ( ( ! [SY55: mworld] :
( ~ ( mrel @ SV4 @ SY55 )
| ! [SY56: $i] :
( ~ ( eiw_di @ SY56 @ SY55 )
| ~ ( ~ ! [SY57: mworld] :
( ~ ( mrel @ SY55 @ SY57 )
| ~ ! [SY58: mworld] :
( ~ ( mrel @ SY57 @ SY58 )
| ( f @ SY56 @ ( sK5_SY39 @ SV5 @ SV4 ) @ SY58 ) )
| ~ ( ~ ! [SY44: mworld] :
( ~ ( mrel @ SY57 @ SY44 )
| ( f @ SY56 @ SV5 @ SY44 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SY57 @ SX7 )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( f @ SY56 @ SY56 @ SX8 ) ) ) ) )
| ~ ! [SY62: mworld] :
( ~ ( mrel @ SY55 @ SY62 )
| ~ ~ ( ~ ! [SY48: mworld] :
( ~ ( mrel @ SY62 @ SY48 )
| ( f @ SY56 @ SV5 @ SY48 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SY62 @ SX7 )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( f @ SY56 @ SY56 @ SX8 ) ) ) )
| ! [SY66: mworld] :
( ~ ( mrel @ SY62 @ SY66 )
| ( f @ SY56 @ ( sK5_SY39 @ SV5 @ SV4 ) @ SY66 ) ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV5 @ SV4 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[48]) ).
thf(52,plain,
! [SV6: mworld,SV7: $i] :
( ( ( ~ ( eiw_di @ SV7 @ SV6 )
| ! [SY69: mworld] :
( ~ ( mrel @ SV6 @ SY69 )
| ( f @ SV7 @ sK4_SY21 @ SY69 ) ) )
= $true )
| ( ( mrel @ sK3_SY16 @ SV6 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[49]) ).
thf(53,plain,
! [SV5: $i,SV8: mworld,SV4: mworld] :
( ( ( ~ ( mrel @ SV4 @ SV8 )
| ! [SY70: $i] :
( ~ ( eiw_di @ SY70 @ SV8 )
| ~ ( ~ ! [SY71: mworld] :
( ~ ( mrel @ SV8 @ SY71 )
| ~ ! [SY58: mworld] :
( ~ ( mrel @ SY71 @ SY58 )
| ( f @ SY70 @ ( sK5_SY39 @ SV5 @ SV4 ) @ SY58 ) )
| ~ ( ~ ! [SY44: mworld] :
( ~ ( mrel @ SY71 @ SY44 )
| ( f @ SY70 @ SV5 @ SY44 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SY71 @ SX7 )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( f @ SY70 @ SY70 @ SX8 ) ) ) ) )
| ~ ! [SY76: mworld] :
( ~ ( mrel @ SV8 @ SY76 )
| ~ ~ ( ~ ! [SY48: mworld] :
( ~ ( mrel @ SY76 @ SY48 )
| ( f @ SY70 @ SV5 @ SY48 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SY76 @ SX7 )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( f @ SY70 @ SY70 @ SX8 ) ) ) )
| ! [SY66: mworld] :
( ~ ( mrel @ SY76 @ SY66 )
| ( f @ SY70 @ ( sK5_SY39 @ SV5 @ SV4 ) @ SY66 ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV5 @ SV4 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[51]) ).
thf(54,plain,
! [SV6: mworld,SV7: $i] :
( ( ( ~ ( eiw_di @ SV7 @ SV6 ) )
= $true )
| ( ( ! [SY69: mworld] :
( ~ ( mrel @ SV6 @ SY69 )
| ( f @ SV7 @ sK4_SY21 @ SY69 ) ) )
= $true )
| ( ( mrel @ sK3_SY16 @ SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[52]) ).
thf(55,plain,
! [SV5: $i,SV8: mworld,SV4: mworld] :
( ( ( ~ ( mrel @ SV4 @ SV8 ) )
= $true )
| ( ( ! [SY70: $i] :
( ~ ( eiw_di @ SY70 @ SV8 )
| ~ ( ~ ! [SY71: mworld] :
( ~ ( mrel @ SV8 @ SY71 )
| ~ ! [SY58: mworld] :
( ~ ( mrel @ SY71 @ SY58 )
| ( f @ SY70 @ ( sK5_SY39 @ SV5 @ SV4 ) @ SY58 ) )
| ~ ( ~ ! [SY44: mworld] :
( ~ ( mrel @ SY71 @ SY44 )
| ( f @ SY70 @ SV5 @ SY44 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SY71 @ SX7 )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( f @ SY70 @ SY70 @ SX8 ) ) ) ) )
| ~ ! [SY76: mworld] :
( ~ ( mrel @ SV8 @ SY76 )
| ~ ~ ( ~ ! [SY48: mworld] :
( ~ ( mrel @ SY76 @ SY48 )
| ( f @ SY70 @ SV5 @ SY48 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SY76 @ SX7 )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( f @ SY70 @ SY70 @ SX8 ) ) ) )
| ! [SY66: mworld] :
( ~ ( mrel @ SY76 @ SY66 )
| ( f @ SY70 @ ( sK5_SY39 @ SV5 @ SV4 ) @ SY66 ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV5 @ SV4 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[53]) ).
thf(56,plain,
! [SV6: mworld,SV7: $i] :
( ( ( eiw_di @ SV7 @ SV6 )
= $false )
| ( ( ! [SY69: mworld] :
( ~ ( mrel @ SV6 @ SY69 )
| ( f @ SV7 @ sK4_SY21 @ SY69 ) ) )
= $true )
| ( ( mrel @ sK3_SY16 @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[54]) ).
thf(57,plain,
! [SV5: $i,SV8: mworld,SV4: mworld] :
( ( ( mrel @ SV4 @ SV8 )
= $false )
| ( ( ! [SY70: $i] :
( ~ ( eiw_di @ SY70 @ SV8 )
| ~ ( ~ ! [SY71: mworld] :
( ~ ( mrel @ SV8 @ SY71 )
| ~ ! [SY58: mworld] :
( ~ ( mrel @ SY71 @ SY58 )
| ( f @ SY70 @ ( sK5_SY39 @ SV5 @ SV4 ) @ SY58 ) )
| ~ ( ~ ! [SY44: mworld] :
( ~ ( mrel @ SY71 @ SY44 )
| ( f @ SY70 @ SV5 @ SY44 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SY71 @ SX7 )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( f @ SY70 @ SY70 @ SX8 ) ) ) ) )
| ~ ! [SY76: mworld] :
( ~ ( mrel @ SV8 @ SY76 )
| ~ ~ ( ~ ! [SY48: mworld] :
( ~ ( mrel @ SY76 @ SY48 )
| ( f @ SY70 @ SV5 @ SY48 ) )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SY76 @ SX7 )
| ~ ! [SX8: mworld] :
( ~ ( mrel @ SX7 @ SX8 )
| ( f @ SY70 @ SY70 @ SX8 ) ) ) )
| ! [SY66: mworld] :
( ~ ( mrel @ SY76 @ SY66 )
| ( f @ SY70 @ ( sK5_SY39 @ SV5 @ SV4 ) @ SY66 ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV5 @ SV4 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[55]) ).
thf(58,plain,
! [SV7: $i,SV9: mworld,SV6: mworld] :
( ( ( ~ ( mrel @ SV6 @ SV9 )
| ( f @ SV7 @ sK4_SY21 @ SV9 ) )
= $true )
| ( ( eiw_di @ SV7 @ SV6 )
= $false )
| ( ( mrel @ sK3_SY16 @ SV6 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[56]) ).
thf(59,plain,
! [SV4: mworld,SV5: $i,SV8: mworld,SV10: $i] :
( ( ( ~ ( eiw_di @ SV10 @ SV8 )
| ~ ( ~ ! [SY81: mworld] :
( ~ ( mrel @ SV8 @ SY81 )
| ~ ! [SY82: mworld] :
( ~ ( mrel @ SY81 @ SY82 )
| ( f @ SV10 @ ( sK5_SY39 @ SV5 @ SV4 ) @ SY82 ) )
| ~ ( ~ ! [SY83: mworld] :
( ~ ( mrel @ SY81 @ SY83 )
| ( f @ SV10 @ SV5 @ SY83 ) )
| ~ ! [SY84: mworld] :
( ~ ( mrel @ SY81 @ SY84 )
| ~ ! [SY85: mworld] :
( ~ ( mrel @ SY84 @ SY85 )
| ( f @ SV10 @ SV10 @ SY85 ) ) ) ) )
| ~ ! [SY86: mworld] :
( ~ ( mrel @ SV8 @ SY86 )
| ~ ~ ( ~ ! [SY87: mworld] :
( ~ ( mrel @ SY86 @ SY87 )
| ( f @ SV10 @ SV5 @ SY87 ) )
| ~ ! [SY88: mworld] :
( ~ ( mrel @ SY86 @ SY88 )
| ~ ! [SY89: mworld] :
( ~ ( mrel @ SY88 @ SY89 )
| ( f @ SV10 @ SV10 @ SY89 ) ) ) )
| ! [SY90: mworld] :
( ~ ( mrel @ SY86 @ SY90 )
| ( f @ SV10 @ ( sK5_SY39 @ SV5 @ SV4 ) @ SY90 ) ) ) ) )
= $true )
| ( ( mrel @ SV4 @ SV8 )
= $false )
| ( ( eiw_di @ SV5 @ SV4 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[57]) ).
thf(60,plain,
! [SV7: $i,SV9: mworld,SV6: mworld] :
( ( ( ~ ( mrel @ SV6 @ SV9 ) )
= $true )
| ( ( f @ SV7 @ sK4_SY21 @ SV9 )
= $true )
| ( ( eiw_di @ SV7 @ SV6 )
= $false )
| ( ( mrel @ sK3_SY16 @ SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[58]) ).
thf(61,plain,
! [SV4: mworld,SV5: $i,SV8: mworld,SV10: $i] :
( ( ( ~ ( eiw_di @ SV10 @ SV8 ) )
= $true )
| ( ( ~ ( ~ ! [SY81: mworld] :
( ~ ( mrel @ SV8 @ SY81 )
| ~ ! [SY82: mworld] :
( ~ ( mrel @ SY81 @ SY82 )
| ( f @ SV10 @ ( sK5_SY39 @ SV5 @ SV4 ) @ SY82 ) )
| ~ ( ~ ! [SY83: mworld] :
( ~ ( mrel @ SY81 @ SY83 )
| ( f @ SV10 @ SV5 @ SY83 ) )
| ~ ! [SY84: mworld] :
( ~ ( mrel @ SY81 @ SY84 )
| ~ ! [SY85: mworld] :
( ~ ( mrel @ SY84 @ SY85 )
| ( f @ SV10 @ SV10 @ SY85 ) ) ) ) )
| ~ ! [SY86: mworld] :
( ~ ( mrel @ SV8 @ SY86 )
| ~ ~ ( ~ ! [SY87: mworld] :
( ~ ( mrel @ SY86 @ SY87 )
| ( f @ SV10 @ SV5 @ SY87 ) )
| ~ ! [SY88: mworld] :
( ~ ( mrel @ SY86 @ SY88 )
| ~ ! [SY89: mworld] :
( ~ ( mrel @ SY88 @ SY89 )
| ( f @ SV10 @ SV10 @ SY89 ) ) ) )
| ! [SY90: mworld] :
( ~ ( mrel @ SY86 @ SY90 )
| ( f @ SV10 @ ( sK5_SY39 @ SV5 @ SV4 ) @ SY90 ) ) ) ) )
= $true )
| ( ( mrel @ SV4 @ SV8 )
= $false )
| ( ( eiw_di @ SV5 @ SV4 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[59]) ).
thf(62,plain,
! [SV7: $i,SV9: mworld,SV6: mworld] :
( ( ( mrel @ SV6 @ SV9 )
= $false )
| ( ( f @ SV7 @ sK4_SY21 @ SV9 )
= $true )
| ( ( eiw_di @ SV7 @ SV6 )
= $false )
| ( ( mrel @ sK3_SY16 @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[60]) ).
thf(63,plain,
! [SV4: mworld,SV5: $i,SV8: mworld,SV10: $i] :
( ( ( eiw_di @ SV10 @ SV8 )
= $false )
| ( ( ~ ( ~ ! [SY81: mworld] :
( ~ ( mrel @ SV8 @ SY81 )
| ~ ! [SY82: mworld] :
( ~ ( mrel @ SY81 @ SY82 )
| ( f @ SV10 @ ( sK5_SY39 @ SV5 @ SV4 ) @ SY82 ) )
| ~ ( ~ ! [SY83: mworld] :
( ~ ( mrel @ SY81 @ SY83 )
| ( f @ SV10 @ SV5 @ SY83 ) )
| ~ ! [SY84: mworld] :
( ~ ( mrel @ SY81 @ SY84 )
| ~ ! [SY85: mworld] :
( ~ ( mrel @ SY84 @ SY85 )
| ( f @ SV10 @ SV10 @ SY85 ) ) ) ) )
| ~ ! [SY86: mworld] :
( ~ ( mrel @ SV8 @ SY86 )
| ~ ~ ( ~ ! [SY87: mworld] :
( ~ ( mrel @ SY86 @ SY87 )
| ( f @ SV10 @ SV5 @ SY87 ) )
| ~ ! [SY88: mworld] :
( ~ ( mrel @ SY86 @ SY88 )
| ~ ! [SY89: mworld] :
( ~ ( mrel @ SY88 @ SY89 )
| ( f @ SV10 @ SV10 @ SY89 ) ) ) )
| ! [SY90: mworld] :
( ~ ( mrel @ SY86 @ SY90 )
| ( f @ SV10 @ ( sK5_SY39 @ SV5 @ SV4 ) @ SY90 ) ) ) ) )
= $true )
| ( ( mrel @ SV4 @ SV8 )
= $false )
| ( ( eiw_di @ SV5 @ SV4 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[61]) ).
thf(64,plain,
! [SV4: mworld,SV5: $i,SV10: $i,SV8: mworld] :
( ( ( ~ ! [SY81: mworld] :
( ~ ( mrel @ SV8 @ SY81 )
| ~ ! [SY82: mworld] :
( ~ ( mrel @ SY81 @ SY82 )
| ( f @ SV10 @ ( sK5_SY39 @ SV5 @ SV4 ) @ SY82 ) )
| ~ ( ~ ! [SY83: mworld] :
( ~ ( mrel @ SY81 @ SY83 )
| ( f @ SV10 @ SV5 @ SY83 ) )
| ~ ! [SY84: mworld] :
( ~ ( mrel @ SY81 @ SY84 )
| ~ ! [SY85: mworld] :
( ~ ( mrel @ SY84 @ SY85 )
| ( f @ SV10 @ SV10 @ SY85 ) ) ) ) )
| ~ ! [SY86: mworld] :
( ~ ( mrel @ SV8 @ SY86 )
| ~ ~ ( ~ ! [SY87: mworld] :
( ~ ( mrel @ SY86 @ SY87 )
| ( f @ SV10 @ SV5 @ SY87 ) )
| ~ ! [SY88: mworld] :
( ~ ( mrel @ SY86 @ SY88 )
| ~ ! [SY89: mworld] :
( ~ ( mrel @ SY88 @ SY89 )
| ( f @ SV10 @ SV10 @ SY89 ) ) ) )
| ! [SY90: mworld] :
( ~ ( mrel @ SY86 @ SY90 )
| ( f @ SV10 @ ( sK5_SY39 @ SV5 @ SV4 ) @ SY90 ) ) ) )
= $false )
| ( ( eiw_di @ SV10 @ SV8 )
= $false )
| ( ( mrel @ SV4 @ SV8 )
= $false )
| ( ( eiw_di @ SV5 @ SV4 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[63]) ).
thf(65,plain,
! [SV4: mworld,SV5: $i,SV10: $i,SV8: mworld] :
( ( ( ~ ! [SY81: mworld] :
( ~ ( mrel @ SV8 @ SY81 )
| ~ ! [SY82: mworld] :
( ~ ( mrel @ SY81 @ SY82 )
| ( f @ SV10 @ ( sK5_SY39 @ SV5 @ SV4 ) @ SY82 ) )
| ~ ( ~ ! [SY83: mworld] :
( ~ ( mrel @ SY81 @ SY83 )
| ( f @ SV10 @ SV5 @ SY83 ) )
| ~ ! [SY84: mworld] :
( ~ ( mrel @ SY81 @ SY84 )
| ~ ! [SY85: mworld] :
( ~ ( mrel @ SY84 @ SY85 )
| ( f @ SV10 @ SV10 @ SY85 ) ) ) ) ) )
= $false )
| ( ( eiw_di @ SV10 @ SV8 )
= $false )
| ( ( mrel @ SV4 @ SV8 )
= $false )
| ( ( eiw_di @ SV5 @ SV4 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[64]) ).
thf(66,plain,
! [SV4: mworld,SV5: $i,SV10: $i,SV8: mworld] :
( ( ( ~ ! [SY86: mworld] :
( ~ ( mrel @ SV8 @ SY86 )
| ~ ~ ( ~ ! [SY87: mworld] :
( ~ ( mrel @ SY86 @ SY87 )
| ( f @ SV10 @ SV5 @ SY87 ) )
| ~ ! [SY88: mworld] :
( ~ ( mrel @ SY86 @ SY88 )
| ~ ! [SY89: mworld] :
( ~ ( mrel @ SY88 @ SY89 )
| ( f @ SV10 @ SV10 @ SY89 ) ) ) )
| ! [SY90: mworld] :
( ~ ( mrel @ SY86 @ SY90 )
| ( f @ SV10 @ ( sK5_SY39 @ SV5 @ SV4 ) @ SY90 ) ) ) )
= $false )
| ( ( eiw_di @ SV10 @ SV8 )
= $false )
| ( ( mrel @ SV4 @ SV8 )
= $false )
| ( ( eiw_di @ SV5 @ SV4 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[64]) ).
thf(67,plain,
! [SV4: mworld,SV5: $i,SV10: $i,SV8: mworld] :
( ( ( ! [SY81: mworld] :
( ~ ( mrel @ SV8 @ SY81 )
| ~ ! [SY82: mworld] :
( ~ ( mrel @ SY81 @ SY82 )
| ( f @ SV10 @ ( sK5_SY39 @ SV5 @ SV4 ) @ SY82 ) )
| ~ ( ~ ! [SY83: mworld] :
( ~ ( mrel @ SY81 @ SY83 )
| ( f @ SV10 @ SV5 @ SY83 ) )
| ~ ! [SY84: mworld] :
( ~ ( mrel @ SY81 @ SY84 )
| ~ ! [SY85: mworld] :
( ~ ( mrel @ SY84 @ SY85 )
| ( f @ SV10 @ SV10 @ SY85 ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV10 @ SV8 )
= $false )
| ( ( mrel @ SV4 @ SV8 )
= $false )
| ( ( eiw_di @ SV5 @ SV4 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[65]) ).
thf(68,plain,
! [SV4: mworld,SV5: $i,SV10: $i,SV8: mworld] :
( ( ( ! [SY86: mworld] :
( ~ ( mrel @ SV8 @ SY86 )
| ~ ~ ( ~ ! [SY87: mworld] :
( ~ ( mrel @ SY86 @ SY87 )
| ( f @ SV10 @ SV5 @ SY87 ) )
| ~ ! [SY88: mworld] :
( ~ ( mrel @ SY86 @ SY88 )
| ~ ! [SY89: mworld] :
( ~ ( mrel @ SY88 @ SY89 )
| ( f @ SV10 @ SV10 @ SY89 ) ) ) )
| ! [SY90: mworld] :
( ~ ( mrel @ SY86 @ SY90 )
| ( f @ SV10 @ ( sK5_SY39 @ SV5 @ SV4 ) @ SY90 ) ) ) )
= $true )
| ( ( eiw_di @ SV10 @ SV8 )
= $false )
| ( ( mrel @ SV4 @ SV8 )
= $false )
| ( ( eiw_di @ SV5 @ SV4 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[66]) ).
thf(69,plain,
! [SV4: mworld,SV5: $i,SV10: $i,SV11: mworld,SV8: mworld] :
( ( ( ~ ( mrel @ SV8 @ SV11 )
| ~ ! [SY91: mworld] :
( ~ ( mrel @ SV11 @ SY91 )
| ( f @ SV10 @ ( sK5_SY39 @ SV5 @ SV4 ) @ SY91 ) )
| ~ ( ~ ! [SY92: mworld] :
( ~ ( mrel @ SV11 @ SY92 )
| ( f @ SV10 @ SV5 @ SY92 ) )
| ~ ! [SY93: mworld] :
( ~ ( mrel @ SV11 @ SY93 )
| ~ ! [SY85: mworld] :
( ~ ( mrel @ SY93 @ SY85 )
| ( f @ SV10 @ SV10 @ SY85 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV10 @ SV8 )
= $false )
| ( ( mrel @ SV4 @ SV8 )
= $false )
| ( ( eiw_di @ SV5 @ SV4 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[67]) ).
thf(70,plain,
! [SV4: mworld,SV5: $i,SV10: $i,SV12: mworld,SV8: mworld] :
( ( ( ~ ( mrel @ SV8 @ SV12 )
| ~ ~ ( ~ ! [SY95: mworld] :
( ~ ( mrel @ SV12 @ SY95 )
| ( f @ SV10 @ SV5 @ SY95 ) )
| ~ ! [SY96: mworld] :
( ~ ( mrel @ SV12 @ SY96 )
| ~ ! [SY89: mworld] :
( ~ ( mrel @ SY96 @ SY89 )
| ( f @ SV10 @ SV10 @ SY89 ) ) ) )
| ! [SY98: mworld] :
( ~ ( mrel @ SV12 @ SY98 )
| ( f @ SV10 @ ( sK5_SY39 @ SV5 @ SV4 ) @ SY98 ) ) )
= $true )
| ( ( eiw_di @ SV10 @ SV8 )
= $false )
| ( ( mrel @ SV4 @ SV8 )
= $false )
| ( ( eiw_di @ SV5 @ SV4 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[68]) ).
thf(71,plain,
! [SV4: mworld,SV5: $i,SV10: $i,SV11: mworld,SV8: mworld] :
( ( ( ~ ( mrel @ SV8 @ SV11 ) )
= $true )
| ( ( ~ ! [SY91: mworld] :
( ~ ( mrel @ SV11 @ SY91 )
| ( f @ SV10 @ ( sK5_SY39 @ SV5 @ SV4 ) @ SY91 ) )
| ~ ( ~ ! [SY92: mworld] :
( ~ ( mrel @ SV11 @ SY92 )
| ( f @ SV10 @ SV5 @ SY92 ) )
| ~ ! [SY93: mworld] :
( ~ ( mrel @ SV11 @ SY93 )
| ~ ! [SY85: mworld] :
( ~ ( mrel @ SY93 @ SY85 )
| ( f @ SV10 @ SV10 @ SY85 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV10 @ SV8 )
= $false )
| ( ( mrel @ SV4 @ SV8 )
= $false )
| ( ( eiw_di @ SV5 @ SV4 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[69]) ).
thf(72,plain,
! [SV4: mworld,SV5: $i,SV10: $i,SV12: mworld,SV8: mworld] :
( ( ( ~ ( mrel @ SV8 @ SV12 ) )
= $true )
| ( ( ~ ~ ( ~ ! [SY95: mworld] :
( ~ ( mrel @ SV12 @ SY95 )
| ( f @ SV10 @ SV5 @ SY95 ) )
| ~ ! [SY96: mworld] :
( ~ ( mrel @ SV12 @ SY96 )
| ~ ! [SY89: mworld] :
( ~ ( mrel @ SY96 @ SY89 )
| ( f @ SV10 @ SV10 @ SY89 ) ) ) )
| ! [SY98: mworld] :
( ~ ( mrel @ SV12 @ SY98 )
| ( f @ SV10 @ ( sK5_SY39 @ SV5 @ SV4 ) @ SY98 ) ) )
= $true )
| ( ( eiw_di @ SV10 @ SV8 )
= $false )
| ( ( mrel @ SV4 @ SV8 )
= $false )
| ( ( eiw_di @ SV5 @ SV4 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[70]) ).
thf(73,plain,
! [SV4: mworld,SV5: $i,SV10: $i,SV11: mworld,SV8: mworld] :
( ( ( mrel @ SV8 @ SV11 )
= $false )
| ( ( ~ ! [SY91: mworld] :
( ~ ( mrel @ SV11 @ SY91 )
| ( f @ SV10 @ ( sK5_SY39 @ SV5 @ SV4 ) @ SY91 ) )
| ~ ( ~ ! [SY92: mworld] :
( ~ ( mrel @ SV11 @ SY92 )
| ( f @ SV10 @ SV5 @ SY92 ) )
| ~ ! [SY93: mworld] :
( ~ ( mrel @ SV11 @ SY93 )
| ~ ! [SY85: mworld] :
( ~ ( mrel @ SY93 @ SY85 )
| ( f @ SV10 @ SV10 @ SY85 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV10 @ SV8 )
= $false )
| ( ( mrel @ SV4 @ SV8 )
= $false )
| ( ( eiw_di @ SV5 @ SV4 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[71]) ).
thf(74,plain,
! [SV4: mworld,SV5: $i,SV10: $i,SV12: mworld,SV8: mworld] :
( ( ( mrel @ SV8 @ SV12 )
= $false )
| ( ( ~ ~ ( ~ ! [SY95: mworld] :
( ~ ( mrel @ SV12 @ SY95 )
| ( f @ SV10 @ SV5 @ SY95 ) )
| ~ ! [SY96: mworld] :
( ~ ( mrel @ SV12 @ SY96 )
| ~ ! [SY89: mworld] :
( ~ ( mrel @ SY96 @ SY89 )
| ( f @ SV10 @ SV10 @ SY89 ) ) ) )
| ! [SY98: mworld] :
( ~ ( mrel @ SV12 @ SY98 )
| ( f @ SV10 @ ( sK5_SY39 @ SV5 @ SV4 ) @ SY98 ) ) )
= $true )
| ( ( eiw_di @ SV10 @ SV8 )
= $false )
| ( ( mrel @ SV4 @ SV8 )
= $false )
| ( ( eiw_di @ SV5 @ SV4 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[72]) ).
thf(75,plain,
! [SV8: mworld,SV4: mworld,SV5: $i,SV10: $i,SV11: mworld] :
( ( ( ~ ! [SY91: mworld] :
( ~ ( mrel @ SV11 @ SY91 )
| ( f @ SV10 @ ( sK5_SY39 @ SV5 @ SV4 ) @ SY91 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY92: mworld] :
( ~ ( mrel @ SV11 @ SY92 )
| ( f @ SV10 @ SV5 @ SY92 ) )
| ~ ! [SY93: mworld] :
( ~ ( mrel @ SV11 @ SY93 )
| ~ ! [SY85: mworld] :
( ~ ( mrel @ SY93 @ SY85 )
| ( f @ SV10 @ SV10 @ SY85 ) ) ) ) )
= $true )
| ( ( mrel @ SV8 @ SV11 )
= $false )
| ( ( eiw_di @ SV10 @ SV8 )
= $false )
| ( ( mrel @ SV4 @ SV8 )
= $false )
| ( ( eiw_di @ SV5 @ SV4 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[73]) ).
thf(76,plain,
! [SV8: mworld,SV4: mworld,SV5: $i,SV10: $i,SV12: mworld] :
( ( ( ~ ~ ( ~ ! [SY95: mworld] :
( ~ ( mrel @ SV12 @ SY95 )
| ( f @ SV10 @ SV5 @ SY95 ) )
| ~ ! [SY96: mworld] :
( ~ ( mrel @ SV12 @ SY96 )
| ~ ! [SY89: mworld] :
( ~ ( mrel @ SY96 @ SY89 )
| ( f @ SV10 @ SV10 @ SY89 ) ) ) ) )
= $true )
| ( ( ! [SY98: mworld] :
( ~ ( mrel @ SV12 @ SY98 )
| ( f @ SV10 @ ( sK5_SY39 @ SV5 @ SV4 ) @ SY98 ) ) )
= $true )
| ( ( mrel @ SV8 @ SV12 )
= $false )
| ( ( eiw_di @ SV10 @ SV8 )
= $false )
| ( ( mrel @ SV4 @ SV8 )
= $false )
| ( ( eiw_di @ SV5 @ SV4 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[74]) ).
thf(77,plain,
! [SV8: mworld,SV4: mworld,SV5: $i,SV10: $i,SV11: mworld] :
( ( ( ! [SY91: mworld] :
( ~ ( mrel @ SV11 @ SY91 )
| ( f @ SV10 @ ( sK5_SY39 @ SV5 @ SV4 ) @ SY91 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY92: mworld] :
( ~ ( mrel @ SV11 @ SY92 )
| ( f @ SV10 @ SV5 @ SY92 ) )
| ~ ! [SY93: mworld] :
( ~ ( mrel @ SV11 @ SY93 )
| ~ ! [SY85: mworld] :
( ~ ( mrel @ SY93 @ SY85 )
| ( f @ SV10 @ SV10 @ SY85 ) ) ) ) )
= $true )
| ( ( mrel @ SV8 @ SV11 )
= $false )
| ( ( eiw_di @ SV10 @ SV8 )
= $false )
| ( ( mrel @ SV4 @ SV8 )
= $false )
| ( ( eiw_di @ SV5 @ SV4 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[75]) ).
thf(78,plain,
! [SV8: mworld,SV4: mworld,SV5: $i,SV10: $i,SV12: mworld] :
( ( ( ~ ( ~ ! [SY95: mworld] :
( ~ ( mrel @ SV12 @ SY95 )
| ( f @ SV10 @ SV5 @ SY95 ) )
| ~ ! [SY96: mworld] :
( ~ ( mrel @ SV12 @ SY96 )
| ~ ! [SY89: mworld] :
( ~ ( mrel @ SY96 @ SY89 )
| ( f @ SV10 @ SV10 @ SY89 ) ) ) ) )
= $false )
| ( ( ! [SY98: mworld] :
( ~ ( mrel @ SV12 @ SY98 )
| ( f @ SV10 @ ( sK5_SY39 @ SV5 @ SV4 ) @ SY98 ) ) )
= $true )
| ( ( mrel @ SV8 @ SV12 )
= $false )
| ( ( eiw_di @ SV10 @ SV8 )
= $false )
| ( ( mrel @ SV4 @ SV8 )
= $false )
| ( ( eiw_di @ SV5 @ SV4 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[76]) ).
thf(79,plain,
! [SV10: $i,SV5: $i,SV4: mworld,SV8: mworld,SV11: mworld] :
( ( ( ~ ( mrel @ SV11 @ ( sK6_SY91 @ SV8 @ SV4 @ SV5 @ SV10 @ SV11 ) )
| ( f @ SV10 @ ( sK5_SY39 @ SV5 @ SV4 ) @ ( sK6_SY91 @ SV8 @ SV4 @ SV5 @ SV10 @ SV11 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY92: mworld] :
( ~ ( mrel @ SV11 @ SY92 )
| ( f @ SV10 @ SV5 @ SY92 ) )
| ~ ! [SY93: mworld] :
( ~ ( mrel @ SV11 @ SY93 )
| ~ ! [SY85: mworld] :
( ~ ( mrel @ SY93 @ SY85 )
| ( f @ SV10 @ SV10 @ SY85 ) ) ) ) )
= $true )
| ( ( mrel @ SV8 @ SV11 )
= $false )
| ( ( eiw_di @ SV10 @ SV8 )
= $false )
| ( ( mrel @ SV4 @ SV8 )
= $false )
| ( ( eiw_di @ SV5 @ SV4 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[77]) ).
thf(80,plain,
! [SV8: mworld,SV4: mworld,SV5: $i,SV10: $i,SV12: mworld] :
( ( ( ~ ! [SY95: mworld] :
( ~ ( mrel @ SV12 @ SY95 )
| ( f @ SV10 @ SV5 @ SY95 ) )
| ~ ! [SY96: mworld] :
( ~ ( mrel @ SV12 @ SY96 )
| ~ ! [SY89: mworld] :
( ~ ( mrel @ SY96 @ SY89 )
| ( f @ SV10 @ SV10 @ SY89 ) ) ) )
= $true )
| ( ( ! [SY98: mworld] :
( ~ ( mrel @ SV12 @ SY98 )
| ( f @ SV10 @ ( sK5_SY39 @ SV5 @ SV4 ) @ SY98 ) ) )
= $true )
| ( ( mrel @ SV8 @ SV12 )
= $false )
| ( ( eiw_di @ SV10 @ SV8 )
= $false )
| ( ( mrel @ SV4 @ SV8 )
= $false )
| ( ( eiw_di @ SV5 @ SV4 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[78]) ).
thf(81,plain,
! [SV10: $i,SV5: $i,SV4: mworld,SV8: mworld,SV11: mworld] :
( ( ( ~ ( mrel @ SV11 @ ( sK6_SY91 @ SV8 @ SV4 @ SV5 @ SV10 @ SV11 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY92: mworld] :
( ~ ( mrel @ SV11 @ SY92 )
| ( f @ SV10 @ SV5 @ SY92 ) )
| ~ ! [SY93: mworld] :
( ~ ( mrel @ SV11 @ SY93 )
| ~ ! [SY85: mworld] :
( ~ ( mrel @ SY93 @ SY85 )
| ( f @ SV10 @ SV10 @ SY85 ) ) ) ) )
= $true )
| ( ( mrel @ SV8 @ SV11 )
= $false )
| ( ( eiw_di @ SV10 @ SV8 )
= $false )
| ( ( mrel @ SV4 @ SV8 )
= $false )
| ( ( eiw_di @ SV5 @ SV4 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[79]) ).
thf(82,plain,
! [SV11: mworld,SV8: mworld,SV4: mworld,SV5: $i,SV10: $i] :
( ( ( f @ SV10 @ ( sK5_SY39 @ SV5 @ SV4 ) @ ( sK6_SY91 @ SV8 @ SV4 @ SV5 @ SV10 @ SV11 ) )
= $false )
| ( ( ~ ( ~ ! [SY92: mworld] :
( ~ ( mrel @ SV11 @ SY92 )
| ( f @ SV10 @ SV5 @ SY92 ) )
| ~ ! [SY93: mworld] :
( ~ ( mrel @ SV11 @ SY93 )
| ~ ! [SY85: mworld] :
( ~ ( mrel @ SY93 @ SY85 )
| ( f @ SV10 @ SV10 @ SY85 ) ) ) ) )
= $true )
| ( ( mrel @ SV8 @ SV11 )
= $false )
| ( ( eiw_di @ SV10 @ SV8 )
= $false )
| ( ( mrel @ SV4 @ SV8 )
= $false )
| ( ( eiw_di @ SV5 @ SV4 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[79]) ).
thf(83,plain,
! [SV8: mworld,SV4: mworld,SV5: $i,SV10: $i,SV12: mworld] :
( ( ( ~ ! [SY95: mworld] :
( ~ ( mrel @ SV12 @ SY95 )
| ( f @ SV10 @ SV5 @ SY95 ) ) )
= $true )
| ( ( ~ ! [SY96: mworld] :
( ~ ( mrel @ SV12 @ SY96 )
| ~ ! [SY89: mworld] :
( ~ ( mrel @ SY96 @ SY89 )
| ( f @ SV10 @ SV10 @ SY89 ) ) ) )
= $true )
| ( ( ! [SY98: mworld] :
( ~ ( mrel @ SV12 @ SY98 )
| ( f @ SV10 @ ( sK5_SY39 @ SV5 @ SV4 ) @ SY98 ) ) )
= $true )
| ( ( mrel @ SV8 @ SV12 )
= $false )
| ( ( eiw_di @ SV10 @ SV8 )
= $false )
| ( ( mrel @ SV4 @ SV8 )
= $false )
| ( ( eiw_di @ SV5 @ SV4 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[80]) ).
thf(84,plain,
! [SV10: $i,SV5: $i,SV4: mworld,SV8: mworld,SV11: mworld] :
( ( ( mrel @ SV11 @ ( sK6_SY91 @ SV8 @ SV4 @ SV5 @ SV10 @ SV11 ) )
= $true )
| ( ( ~ ( ~ ! [SY92: mworld] :
( ~ ( mrel @ SV11 @ SY92 )
| ( f @ SV10 @ SV5 @ SY92 ) )
| ~ ! [SY93: mworld] :
( ~ ( mrel @ SV11 @ SY93 )
| ~ ! [SY85: mworld] :
( ~ ( mrel @ SY93 @ SY85 )
| ( f @ SV10 @ SV10 @ SY85 ) ) ) ) )
= $true )
| ( ( mrel @ SV8 @ SV11 )
= $false )
| ( ( eiw_di @ SV10 @ SV8 )
= $false )
| ( ( mrel @ SV4 @ SV8 )
= $false )
| ( ( eiw_di @ SV5 @ SV4 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[81]) ).
thf(85,plain,
! [SV8: mworld,SV4: mworld,SV5: $i,SV10: $i,SV11: mworld] :
( ( ( ~ ! [SY92: mworld] :
( ~ ( mrel @ SV11 @ SY92 )
| ( f @ SV10 @ SV5 @ SY92 ) )
| ~ ! [SY93: mworld] :
( ~ ( mrel @ SV11 @ SY93 )
| ~ ! [SY85: mworld] :
( ~ ( mrel @ SY93 @ SY85 )
| ( f @ SV10 @ SV10 @ SY85 ) ) ) )
= $false )
| ( ( f @ SV10 @ ( sK5_SY39 @ SV5 @ SV4 ) @ ( sK6_SY91 @ SV8 @ SV4 @ SV5 @ SV10 @ SV11 ) )
= $false )
| ( ( mrel @ SV8 @ SV11 )
= $false )
| ( ( eiw_di @ SV10 @ SV8 )
= $false )
| ( ( mrel @ SV4 @ SV8 )
= $false )
| ( ( eiw_di @ SV5 @ SV4 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[82]) ).
thf(86,plain,
! [SV8: mworld,SV4: mworld,SV5: $i,SV10: $i,SV12: mworld] :
( ( ( ! [SY95: mworld] :
( ~ ( mrel @ SV12 @ SY95 )
| ( f @ SV10 @ SV5 @ SY95 ) ) )
= $false )
| ( ( ~ ! [SY96: mworld] :
( ~ ( mrel @ SV12 @ SY96 )
| ~ ! [SY89: mworld] :
( ~ ( mrel @ SY96 @ SY89 )
| ( f @ SV10 @ SV10 @ SY89 ) ) ) )
= $true )
| ( ( ! [SY98: mworld] :
( ~ ( mrel @ SV12 @ SY98 )
| ( f @ SV10 @ ( sK5_SY39 @ SV5 @ SV4 ) @ SY98 ) ) )
= $true )
| ( ( mrel @ SV8 @ SV12 )
= $false )
| ( ( eiw_di @ SV10 @ SV8 )
= $false )
| ( ( mrel @ SV4 @ SV8 )
= $false )
| ( ( eiw_di @ SV5 @ SV4 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[83]) ).
thf(87,plain,
! [SV4: mworld,SV8: mworld,SV5: $i,SV10: $i,SV11: mworld] :
( ( ( ~ ! [SY92: mworld] :
( ~ ( mrel @ SV11 @ SY92 )
| ( f @ SV10 @ SV5 @ SY92 ) )
| ~ ! [SY93: mworld] :
( ~ ( mrel @ SV11 @ SY93 )
| ~ ! [SY85: mworld] :
( ~ ( mrel @ SY93 @ SY85 )
| ( f @ SV10 @ SV10 @ SY85 ) ) ) )
= $false )
| ( ( mrel @ SV11 @ ( sK6_SY91 @ SV8 @ SV4 @ SV5 @ SV10 @ SV11 ) )
= $true )
| ( ( mrel @ SV8 @ SV11 )
= $false )
| ( ( eiw_di @ SV10 @ SV8 )
= $false )
| ( ( mrel @ SV4 @ SV8 )
= $false )
| ( ( eiw_di @ SV5 @ SV4 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[84]) ).
thf(88,plain,
! [SV8: mworld,SV4: mworld,SV5: $i,SV10: $i,SV11: mworld] :
( ( ( ~ ! [SY92: mworld] :
( ~ ( mrel @ SV11 @ SY92 )
| ( f @ SV10 @ SV5 @ SY92 ) ) )
= $false )
| ( ( f @ SV10 @ ( sK5_SY39 @ SV5 @ SV4 ) @ ( sK6_SY91 @ SV8 @ SV4 @ SV5 @ SV10 @ SV11 ) )
= $false )
| ( ( mrel @ SV8 @ SV11 )
= $false )
| ( ( eiw_di @ SV10 @ SV8 )
= $false )
| ( ( mrel @ SV4 @ SV8 )
= $false )
| ( ( eiw_di @ SV5 @ SV4 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[85]) ).
thf(89,plain,
! [SV8: mworld,SV4: mworld,SV5: $i,SV10: $i,SV11: mworld] :
( ( ( ~ ! [SY93: mworld] :
( ~ ( mrel @ SV11 @ SY93 )
| ~ ! [SY85: mworld] :
( ~ ( mrel @ SY93 @ SY85 )
| ( f @ SV10 @ SV10 @ SY85 ) ) ) )
= $false )
| ( ( f @ SV10 @ ( sK5_SY39 @ SV5 @ SV4 ) @ ( sK6_SY91 @ SV8 @ SV4 @ SV5 @ SV10 @ SV11 ) )
= $false )
| ( ( mrel @ SV8 @ SV11 )
= $false )
| ( ( eiw_di @ SV10 @ SV8 )
= $false )
| ( ( mrel @ SV4 @ SV8 )
= $false )
| ( ( eiw_di @ SV5 @ SV4 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[85]) ).
thf(90,plain,
! [SV10: $i,SV5: $i,SV4: mworld,SV8: mworld,SV12: mworld] :
( ( ( ~ ( mrel @ SV12 @ ( sK7_SY95 @ SV8 @ SV4 @ SV5 @ SV10 @ SV12 ) )
| ( f @ SV10 @ SV5 @ ( sK7_SY95 @ SV8 @ SV4 @ SV5 @ SV10 @ SV12 ) ) )
= $false )
| ( ( ~ ! [SY96: mworld] :
( ~ ( mrel @ SV12 @ SY96 )
| ~ ! [SY89: mworld] :
( ~ ( mrel @ SY96 @ SY89 )
| ( f @ SV10 @ SV10 @ SY89 ) ) ) )
= $true )
| ( ( ! [SY98: mworld] :
( ~ ( mrel @ SV12 @ SY98 )
| ( f @ SV10 @ ( sK5_SY39 @ SV5 @ SV4 ) @ SY98 ) ) )
= $true )
| ( ( mrel @ SV8 @ SV12 )
= $false )
| ( ( eiw_di @ SV10 @ SV8 )
= $false )
| ( ( mrel @ SV4 @ SV8 )
= $false )
| ( ( eiw_di @ SV5 @ SV4 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[86]) ).
thf(91,plain,
! [SV4: mworld,SV8: mworld,SV5: $i,SV10: $i,SV11: mworld] :
( ( ( ~ ! [SY92: mworld] :
( ~ ( mrel @ SV11 @ SY92 )
| ( f @ SV10 @ SV5 @ SY92 ) ) )
= $false )
| ( ( mrel @ SV11 @ ( sK6_SY91 @ SV8 @ SV4 @ SV5 @ SV10 @ SV11 ) )
= $true )
| ( ( mrel @ SV8 @ SV11 )
= $false )
| ( ( eiw_di @ SV10 @ SV8 )
= $false )
| ( ( mrel @ SV4 @ SV8 )
= $false )
| ( ( eiw_di @ SV5 @ SV4 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[87]) ).
thf(92,plain,
! [SV5: $i,SV4: mworld,SV8: mworld,SV10: $i,SV11: mworld] :
( ( ( ~ ! [SY93: mworld] :
( ~ ( mrel @ SV11 @ SY93 )
| ~ ! [SY85: mworld] :
( ~ ( mrel @ SY93 @ SY85 )
| ( f @ SV10 @ SV10 @ SY85 ) ) ) )
= $false )
| ( ( mrel @ SV11 @ ( sK6_SY91 @ SV8 @ SV4 @ SV5 @ SV10 @ SV11 ) )
= $true )
| ( ( mrel @ SV8 @ SV11 )
= $false )
| ( ( eiw_di @ SV10 @ SV8 )
= $false )
| ( ( mrel @ SV4 @ SV8 )
= $false )
| ( ( eiw_di @ SV5 @ SV4 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[87]) ).
thf(93,plain,
! [SV8: mworld,SV4: mworld,SV5: $i,SV10: $i,SV11: mworld] :
( ( ( ! [SY92: mworld] :
( ~ ( mrel @ SV11 @ SY92 )
| ( f @ SV10 @ SV5 @ SY92 ) ) )
= $true )
| ( ( f @ SV10 @ ( sK5_SY39 @ SV5 @ SV4 ) @ ( sK6_SY91 @ SV8 @ SV4 @ SV5 @ SV10 @ SV11 ) )
= $false )
| ( ( mrel @ SV8 @ SV11 )
= $false )
| ( ( eiw_di @ SV10 @ SV8 )
= $false )
| ( ( mrel @ SV4 @ SV8 )
= $false )
| ( ( eiw_di @ SV5 @ SV4 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[88]) ).
thf(94,plain,
! [SV8: mworld,SV4: mworld,SV5: $i,SV10: $i,SV11: mworld] :
( ( ( ! [SY93: mworld] :
( ~ ( mrel @ SV11 @ SY93 )
| ~ ! [SY85: mworld] :
( ~ ( mrel @ SY93 @ SY85 )
| ( f @ SV10 @ SV10 @ SY85 ) ) ) )
= $true )
| ( ( f @ SV10 @ ( sK5_SY39 @ SV5 @ SV4 ) @ ( sK6_SY91 @ SV8 @ SV4 @ SV5 @ SV10 @ SV11 ) )
= $false )
| ( ( mrel @ SV8 @ SV11 )
= $false )
| ( ( eiw_di @ SV10 @ SV8 )
= $false )
| ( ( mrel @ SV4 @ SV8 )
= $false )
| ( ( eiw_di @ SV5 @ SV4 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[89]) ).
thf(95,plain,
! [SV10: $i,SV5: $i,SV4: mworld,SV8: mworld,SV12: mworld] :
( ( ( ~ ( mrel @ SV12 @ ( sK7_SY95 @ SV8 @ SV4 @ SV5 @ SV10 @ SV12 ) ) )
= $false )
| ( ( ~ ! [SY96: mworld] :
( ~ ( mrel @ SV12 @ SY96 )
| ~ ! [SY89: mworld] :
( ~ ( mrel @ SY96 @ SY89 )
| ( f @ SV10 @ SV10 @ SY89 ) ) ) )
= $true )
| ( ( ! [SY98: mworld] :
( ~ ( mrel @ SV12 @ SY98 )
| ( f @ SV10 @ ( sK5_SY39 @ SV5 @ SV4 ) @ SY98 ) ) )
= $true )
| ( ( mrel @ SV8 @ SV12 )
= $false )
| ( ( eiw_di @ SV10 @ SV8 )
= $false )
| ( ( mrel @ SV4 @ SV8 )
= $false )
| ( ( eiw_di @ SV5 @ SV4 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[90]) ).
thf(96,plain,
! [SV12: mworld,SV4: mworld,SV8: mworld,SV5: $i,SV10: $i] :
( ( ( f @ SV10 @ SV5 @ ( sK7_SY95 @ SV8 @ SV4 @ SV5 @ SV10 @ SV12 ) )
= $false )
| ( ( ~ ! [SY96: mworld] :
( ~ ( mrel @ SV12 @ SY96 )
| ~ ! [SY89: mworld] :
( ~ ( mrel @ SY96 @ SY89 )
| ( f @ SV10 @ SV10 @ SY89 ) ) ) )
= $true )
| ( ( ! [SY98: mworld] :
( ~ ( mrel @ SV12 @ SY98 )
| ( f @ SV10 @ ( sK5_SY39 @ SV5 @ SV4 ) @ SY98 ) ) )
= $true )
| ( ( mrel @ SV8 @ SV12 )
= $false )
| ( ( eiw_di @ SV10 @ SV8 )
= $false )
| ( ( mrel @ SV4 @ SV8 )
= $false )
| ( ( eiw_di @ SV5 @ SV4 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[90]) ).
thf(97,plain,
! [SV4: mworld,SV8: mworld,SV5: $i,SV10: $i,SV11: mworld] :
( ( ( ! [SY92: mworld] :
( ~ ( mrel @ SV11 @ SY92 )
| ( f @ SV10 @ SV5 @ SY92 ) ) )
= $true )
| ( ( mrel @ SV11 @ ( sK6_SY91 @ SV8 @ SV4 @ SV5 @ SV10 @ SV11 ) )
= $true )
| ( ( mrel @ SV8 @ SV11 )
= $false )
| ( ( eiw_di @ SV10 @ SV8 )
= $false )
| ( ( mrel @ SV4 @ SV8 )
= $false )
| ( ( eiw_di @ SV5 @ SV4 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[91]) ).
thf(98,plain,
! [SV5: $i,SV4: mworld,SV8: mworld,SV10: $i,SV11: mworld] :
( ( ( ! [SY93: mworld] :
( ~ ( mrel @ SV11 @ SY93 )
| ~ ! [SY85: mworld] :
( ~ ( mrel @ SY93 @ SY85 )
| ( f @ SV10 @ SV10 @ SY85 ) ) ) )
= $true )
| ( ( mrel @ SV11 @ ( sK6_SY91 @ SV8 @ SV4 @ SV5 @ SV10 @ SV11 ) )
= $true )
| ( ( mrel @ SV8 @ SV11 )
= $false )
| ( ( eiw_di @ SV10 @ SV8 )
= $false )
| ( ( mrel @ SV4 @ SV8 )
= $false )
| ( ( eiw_di @ SV5 @ SV4 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[92]) ).
thf(99,plain,
! [SV8: mworld,SV4: mworld,SV5: $i,SV10: $i,SV13: mworld,SV11: mworld] :
( ( ( ~ ( mrel @ SV11 @ SV13 )
| ( f @ SV10 @ SV5 @ SV13 ) )
= $true )
| ( ( f @ SV10 @ ( sK5_SY39 @ SV5 @ SV4 ) @ ( sK6_SY91 @ SV8 @ SV4 @ SV5 @ SV10 @ SV11 ) )
= $false )
| ( ( mrel @ SV8 @ SV11 )
= $false )
| ( ( eiw_di @ SV10 @ SV8 )
= $false )
| ( ( mrel @ SV4 @ SV8 )
= $false )
| ( ( eiw_di @ SV5 @ SV4 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[93]) ).
thf(100,plain,
! [SV8: mworld,SV4: mworld,SV5: $i,SV10: $i,SV14: mworld,SV11: mworld] :
( ( ( ~ ( mrel @ SV11 @ SV14 )
| ~ ! [SY99: mworld] :
( ~ ( mrel @ SV14 @ SY99 )
| ( f @ SV10 @ SV10 @ SY99 ) ) )
= $true )
| ( ( f @ SV10 @ ( sK5_SY39 @ SV5 @ SV4 ) @ ( sK6_SY91 @ SV8 @ SV4 @ SV5 @ SV10 @ SV11 ) )
= $false )
| ( ( mrel @ SV8 @ SV11 )
= $false )
| ( ( eiw_di @ SV10 @ SV8 )
= $false )
| ( ( mrel @ SV4 @ SV8 )
= $false )
| ( ( eiw_di @ SV5 @ SV4 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[94]) ).
thf(101,plain,
! [SV10: $i,SV5: $i,SV4: mworld,SV8: mworld,SV12: mworld] :
( ( ( mrel @ SV12 @ ( sK7_SY95 @ SV8 @ SV4 @ SV5 @ SV10 @ SV12 ) )
= $true )
| ( ( ~ ! [SY96: mworld] :
( ~ ( mrel @ SV12 @ SY96 )
| ~ ! [SY89: mworld] :
( ~ ( mrel @ SY96 @ SY89 )
| ( f @ SV10 @ SV10 @ SY89 ) ) ) )
= $true )
| ( ( ! [SY98: mworld] :
( ~ ( mrel @ SV12 @ SY98 )
| ( f @ SV10 @ ( sK5_SY39 @ SV5 @ SV4 ) @ SY98 ) ) )
= $true )
| ( ( mrel @ SV8 @ SV12 )
= $false )
| ( ( eiw_di @ SV10 @ SV8 )
= $false )
| ( ( mrel @ SV4 @ SV8 )
= $false )
| ( ( eiw_di @ SV5 @ SV4 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[95]) ).
thf(102,plain,
! [SV4: mworld,SV8: mworld,SV5: $i,SV10: $i,SV12: mworld] :
( ( ( ! [SY96: mworld] :
( ~ ( mrel @ SV12 @ SY96 )
| ~ ! [SY89: mworld] :
( ~ ( mrel @ SY96 @ SY89 )
| ( f @ SV10 @ SV10 @ SY89 ) ) ) )
= $false )
| ( ( f @ SV10 @ SV5 @ ( sK7_SY95 @ SV8 @ SV4 @ SV5 @ SV10 @ SV12 ) )
= $false )
| ( ( ! [SY98: mworld] :
( ~ ( mrel @ SV12 @ SY98 )
| ( f @ SV10 @ ( sK5_SY39 @ SV5 @ SV4 ) @ SY98 ) ) )
= $true )
| ( ( mrel @ SV8 @ SV12 )
= $false )
| ( ( eiw_di @ SV10 @ SV8 )
= $false )
| ( ( mrel @ SV4 @ SV8 )
= $false )
| ( ( eiw_di @ SV5 @ SV4 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[96]) ).
thf(103,plain,
! [SV4: mworld,SV8: mworld,SV5: $i,SV10: $i,SV15: mworld,SV11: mworld] :
( ( ( ~ ( mrel @ SV11 @ SV15 )
| ( f @ SV10 @ SV5 @ SV15 ) )
= $true )
| ( ( mrel @ SV11 @ ( sK6_SY91 @ SV8 @ SV4 @ SV5 @ SV10 @ SV11 ) )
= $true )
| ( ( mrel @ SV8 @ SV11 )
= $false )
| ( ( eiw_di @ SV10 @ SV8 )
= $false )
| ( ( mrel @ SV4 @ SV8 )
= $false )
| ( ( eiw_di @ SV5 @ SV4 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[97]) ).
thf(104,plain,
! [SV5: $i,SV4: mworld,SV8: mworld,SV10: $i,SV16: mworld,SV11: mworld] :
( ( ( ~ ( mrel @ SV11 @ SV16 )
| ~ ! [SY100: mworld] :
( ~ ( mrel @ SV16 @ SY100 )
| ( f @ SV10 @ SV10 @ SY100 ) ) )
= $true )
| ( ( mrel @ SV11 @ ( sK6_SY91 @ SV8 @ SV4 @ SV5 @ SV10 @ SV11 ) )
= $true )
| ( ( mrel @ SV8 @ SV11 )
= $false )
| ( ( eiw_di @ SV10 @ SV8 )
= $false )
| ( ( mrel @ SV4 @ SV8 )
= $false )
| ( ( eiw_di @ SV5 @ SV4 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[98]) ).
thf(105,plain,
! [SV8: mworld,SV4: mworld,SV5: $i,SV10: $i,SV13: mworld,SV11: mworld] :
( ( ( ~ ( mrel @ SV11 @ SV13 ) )
= $true )
| ( ( f @ SV10 @ SV5 @ SV13 )
= $true )
| ( ( f @ SV10 @ ( sK5_SY39 @ SV5 @ SV4 ) @ ( sK6_SY91 @ SV8 @ SV4 @ SV5 @ SV10 @ SV11 ) )
= $false )
| ( ( mrel @ SV8 @ SV11 )
= $false )
| ( ( eiw_di @ SV10 @ SV8 )
= $false )
| ( ( mrel @ SV4 @ SV8 )
= $false )
| ( ( eiw_di @ SV5 @ SV4 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[99]) ).
thf(106,plain,
! [SV8: mworld,SV4: mworld,SV5: $i,SV10: $i,SV14: mworld,SV11: mworld] :
( ( ( ~ ( mrel @ SV11 @ SV14 ) )
= $true )
| ( ( ~ ! [SY99: mworld] :
( ~ ( mrel @ SV14 @ SY99 )
| ( f @ SV10 @ SV10 @ SY99 ) ) )
= $true )
| ( ( f @ SV10 @ ( sK5_SY39 @ SV5 @ SV4 ) @ ( sK6_SY91 @ SV8 @ SV4 @ SV5 @ SV10 @ SV11 ) )
= $false )
| ( ( mrel @ SV8 @ SV11 )
= $false )
| ( ( eiw_di @ SV10 @ SV8 )
= $false )
| ( ( mrel @ SV4 @ SV8 )
= $false )
| ( ( eiw_di @ SV5 @ SV4 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[100]) ).
thf(107,plain,
! [SV5: $i,SV4: mworld,SV8: mworld,SV10: $i,SV12: mworld] :
( ( ( ! [SY96: mworld] :
( ~ ( mrel @ SV12 @ SY96 )
| ~ ! [SY89: mworld] :
( ~ ( mrel @ SY96 @ SY89 )
| ( f @ SV10 @ SV10 @ SY89 ) ) ) )
= $false )
| ( ( mrel @ SV12 @ ( sK7_SY95 @ SV8 @ SV4 @ SV5 @ SV10 @ SV12 ) )
= $true )
| ( ( ! [SY98: mworld] :
( ~ ( mrel @ SV12 @ SY98 )
| ( f @ SV10 @ ( sK5_SY39 @ SV5 @ SV4 ) @ SY98 ) ) )
= $true )
| ( ( mrel @ SV8 @ SV12 )
= $false )
| ( ( eiw_di @ SV10 @ SV8 )
= $false )
| ( ( mrel @ SV4 @ SV8 )
= $false )
| ( ( eiw_di @ SV5 @ SV4 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[101]) ).
thf(108,plain,
! [SV10: $i,SV5: $i,SV8: mworld,SV4: mworld,SV12: mworld] :
( ( ( ~ ( mrel @ SV12 @ ( sK8_SY96 @ SV4 @ SV8 @ SV5 @ SV10 @ SV12 ) )
| ~ ! [SY101: mworld] :
( ~ ( mrel @ ( sK8_SY96 @ SV4 @ SV8 @ SV5 @ SV10 @ SV12 ) @ SY101 )
| ( f @ SV10 @ SV10 @ SY101 ) ) )
= $false )
| ( ( f @ SV10 @ SV5 @ ( sK7_SY95 @ SV8 @ SV4 @ SV5 @ SV10 @ SV12 ) )
= $false )
| ( ( ! [SY98: mworld] :
( ~ ( mrel @ SV12 @ SY98 )
| ( f @ SV10 @ ( sK5_SY39 @ SV5 @ SV4 ) @ SY98 ) ) )
= $true )
| ( ( mrel @ SV8 @ SV12 )
= $false )
| ( ( eiw_di @ SV10 @ SV8 )
= $false )
| ( ( mrel @ SV4 @ SV8 )
= $false )
| ( ( eiw_di @ SV5 @ SV4 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[102]) ).
thf(109,plain,
! [SV4: mworld,SV8: mworld,SV5: $i,SV10: $i,SV15: mworld,SV11: mworld] :
( ( ( ~ ( mrel @ SV11 @ SV15 ) )
= $true )
| ( ( f @ SV10 @ SV5 @ SV15 )
= $true )
| ( ( mrel @ SV11 @ ( sK6_SY91 @ SV8 @ SV4 @ SV5 @ SV10 @ SV11 ) )
= $true )
| ( ( mrel @ SV8 @ SV11 )
= $false )
| ( ( eiw_di @ SV10 @ SV8 )
= $false )
| ( ( mrel @ SV4 @ SV8 )
= $false )
| ( ( eiw_di @ SV5 @ SV4 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[103]) ).
thf(110,plain,
! [SV5: $i,SV4: mworld,SV8: mworld,SV10: $i,SV16: mworld,SV11: mworld] :
( ( ( ~ ( mrel @ SV11 @ SV16 ) )
= $true )
| ( ( ~ ! [SY100: mworld] :
( ~ ( mrel @ SV16 @ SY100 )
| ( f @ SV10 @ SV10 @ SY100 ) ) )
= $true )
| ( ( mrel @ SV11 @ ( sK6_SY91 @ SV8 @ SV4 @ SV5 @ SV10 @ SV11 ) )
= $true )
| ( ( mrel @ SV8 @ SV11 )
= $false )
| ( ( eiw_di @ SV10 @ SV8 )
= $false )
| ( ( mrel @ SV4 @ SV8 )
= $false )
| ( ( eiw_di @ SV5 @ SV4 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[104]) ).
thf(111,plain,
! [SV8: mworld,SV4: mworld,SV5: $i,SV10: $i,SV13: mworld,SV11: mworld] :
( ( ( mrel @ SV11 @ SV13 )
= $false )
| ( ( f @ SV10 @ SV5 @ SV13 )
= $true )
| ( ( f @ SV10 @ ( sK5_SY39 @ SV5 @ SV4 ) @ ( sK6_SY91 @ SV8 @ SV4 @ SV5 @ SV10 @ SV11 ) )
= $false )
| ( ( mrel @ SV8 @ SV11 )
= $false )
| ( ( eiw_di @ SV10 @ SV8 )
= $false )
| ( ( mrel @ SV4 @ SV8 )
= $false )
| ( ( eiw_di @ SV5 @ SV4 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[105]) ).
thf(112,plain,
! [SV8: mworld,SV4: mworld,SV5: $i,SV10: $i,SV14: mworld,SV11: mworld] :
( ( ( mrel @ SV11 @ SV14 )
= $false )
| ( ( ~ ! [SY99: mworld] :
( ~ ( mrel @ SV14 @ SY99 )
| ( f @ SV10 @ SV10 @ SY99 ) ) )
= $true )
| ( ( f @ SV10 @ ( sK5_SY39 @ SV5 @ SV4 ) @ ( sK6_SY91 @ SV8 @ SV4 @ SV5 @ SV10 @ SV11 ) )
= $false )
| ( ( mrel @ SV8 @ SV11 )
= $false )
| ( ( eiw_di @ SV10 @ SV8 )
= $false )
| ( ( mrel @ SV4 @ SV8 )
= $false )
| ( ( eiw_di @ SV5 @ SV4 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[106]) ).
thf(113,plain,
! [SV10: $i,SV8: mworld,SV4: mworld,SV5: $i,SV12: mworld] :
( ( ( ~ ( mrel @ SV12 @ ( sK9_SY96 @ SV5 @ SV4 @ SV8 @ SV10 @ SV12 ) )
| ~ ! [SY102: mworld] :
( ~ ( mrel @ ( sK9_SY96 @ SV5 @ SV4 @ SV8 @ SV10 @ SV12 ) @ SY102 )
| ( f @ SV10 @ SV10 @ SY102 ) ) )
= $false )
| ( ( mrel @ SV12 @ ( sK7_SY95 @ SV8 @ SV4 @ SV5 @ SV10 @ SV12 ) )
= $true )
| ( ( ! [SY98: mworld] :
( ~ ( mrel @ SV12 @ SY98 )
| ( f @ SV10 @ ( sK5_SY39 @ SV5 @ SV4 ) @ SY98 ) ) )
= $true )
| ( ( mrel @ SV8 @ SV12 )
= $false )
| ( ( eiw_di @ SV10 @ SV8 )
= $false )
| ( ( mrel @ SV4 @ SV8 )
= $false )
| ( ( eiw_di @ SV5 @ SV4 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[107]) ).
thf(114,plain,
! [SV10: $i,SV5: $i,SV8: mworld,SV4: mworld,SV12: mworld] :
( ( ( ~ ( mrel @ SV12 @ ( sK8_SY96 @ SV4 @ SV8 @ SV5 @ SV10 @ SV12 ) ) )
= $false )
| ( ( f @ SV10 @ SV5 @ ( sK7_SY95 @ SV8 @ SV4 @ SV5 @ SV10 @ SV12 ) )
= $false )
| ( ( ! [SY98: mworld] :
( ~ ( mrel @ SV12 @ SY98 )
| ( f @ SV10 @ ( sK5_SY39 @ SV5 @ SV4 ) @ SY98 ) ) )
= $true )
| ( ( mrel @ SV8 @ SV12 )
= $false )
| ( ( eiw_di @ SV10 @ SV8 )
= $false )
| ( ( mrel @ SV4 @ SV8 )
= $false )
| ( ( eiw_di @ SV5 @ SV4 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[108]) ).
thf(115,plain,
! [SV12: mworld,SV10: $i,SV5: $i,SV8: mworld,SV4: mworld] :
( ( ( ~ ! [SY101: mworld] :
( ~ ( mrel @ ( sK8_SY96 @ SV4 @ SV8 @ SV5 @ SV10 @ SV12 ) @ SY101 )
| ( f @ SV10 @ SV10 @ SY101 ) ) )
= $false )
| ( ( f @ SV10 @ SV5 @ ( sK7_SY95 @ SV8 @ SV4 @ SV5 @ SV10 @ SV12 ) )
= $false )
| ( ( ! [SY98: mworld] :
( ~ ( mrel @ SV12 @ SY98 )
| ( f @ SV10 @ ( sK5_SY39 @ SV5 @ SV4 ) @ SY98 ) ) )
= $true )
| ( ( mrel @ SV8 @ SV12 )
= $false )
| ( ( eiw_di @ SV10 @ SV8 )
= $false )
| ( ( mrel @ SV4 @ SV8 )
= $false )
| ( ( eiw_di @ SV5 @ SV4 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[108]) ).
thf(116,plain,
! [SV4: mworld,SV8: mworld,SV5: $i,SV10: $i,SV15: mworld,SV11: mworld] :
( ( ( mrel @ SV11 @ SV15 )
= $false )
| ( ( f @ SV10 @ SV5 @ SV15 )
= $true )
| ( ( mrel @ SV11 @ ( sK6_SY91 @ SV8 @ SV4 @ SV5 @ SV10 @ SV11 ) )
= $true )
| ( ( mrel @ SV8 @ SV11 )
= $false )
| ( ( eiw_di @ SV10 @ SV8 )
= $false )
| ( ( mrel @ SV4 @ SV8 )
= $false )
| ( ( eiw_di @ SV5 @ SV4 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[109]) ).
thf(117,plain,
! [SV5: $i,SV4: mworld,SV8: mworld,SV10: $i,SV16: mworld,SV11: mworld] :
( ( ( mrel @ SV11 @ SV16 )
= $false )
| ( ( ~ ! [SY100: mworld] :
( ~ ( mrel @ SV16 @ SY100 )
| ( f @ SV10 @ SV10 @ SY100 ) ) )
= $true )
| ( ( mrel @ SV11 @ ( sK6_SY91 @ SV8 @ SV4 @ SV5 @ SV10 @ SV11 ) )
= $true )
| ( ( mrel @ SV8 @ SV11 )
= $false )
| ( ( eiw_di @ SV10 @ SV8 )
= $false )
| ( ( mrel @ SV4 @ SV8 )
= $false )
| ( ( eiw_di @ SV5 @ SV4 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[110]) ).
thf(118,plain,
! [SV8: mworld,SV4: mworld,SV5: $i,SV11: mworld,SV10: $i,SV14: mworld] :
( ( ( ! [SY99: mworld] :
( ~ ( mrel @ SV14 @ SY99 )
| ( f @ SV10 @ SV10 @ SY99 ) ) )
= $false )
| ( ( mrel @ SV11 @ SV14 )
= $false )
| ( ( f @ SV10 @ ( sK5_SY39 @ SV5 @ SV4 ) @ ( sK6_SY91 @ SV8 @ SV4 @ SV5 @ SV10 @ SV11 ) )
= $false )
| ( ( mrel @ SV8 @ SV11 )
= $false )
| ( ( eiw_di @ SV10 @ SV8 )
= $false )
| ( ( mrel @ SV4 @ SV8 )
= $false )
| ( ( eiw_di @ SV5 @ SV4 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[112]) ).
thf(119,plain,
! [SV10: $i,SV8: mworld,SV4: mworld,SV5: $i,SV12: mworld] :
( ( ( ~ ( mrel @ SV12 @ ( sK9_SY96 @ SV5 @ SV4 @ SV8 @ SV10 @ SV12 ) ) )
= $false )
| ( ( mrel @ SV12 @ ( sK7_SY95 @ SV8 @ SV4 @ SV5 @ SV10 @ SV12 ) )
= $true )
| ( ( ! [SY98: mworld] :
( ~ ( mrel @ SV12 @ SY98 )
| ( f @ SV10 @ ( sK5_SY39 @ SV5 @ SV4 ) @ SY98 ) ) )
= $true )
| ( ( mrel @ SV8 @ SV12 )
= $false )
| ( ( eiw_di @ SV10 @ SV8 )
= $false )
| ( ( mrel @ SV4 @ SV8 )
= $false )
| ( ( eiw_di @ SV5 @ SV4 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[113]) ).
thf(120,plain,
! [SV12: mworld,SV10: $i,SV8: mworld,SV4: mworld,SV5: $i] :
( ( ( ~ ! [SY102: mworld] :
( ~ ( mrel @ ( sK9_SY96 @ SV5 @ SV4 @ SV8 @ SV10 @ SV12 ) @ SY102 )
| ( f @ SV10 @ SV10 @ SY102 ) ) )
= $false )
| ( ( mrel @ SV12 @ ( sK7_SY95 @ SV8 @ SV4 @ SV5 @ SV10 @ SV12 ) )
= $true )
| ( ( ! [SY98: mworld] :
( ~ ( mrel @ SV12 @ SY98 )
| ( f @ SV10 @ ( sK5_SY39 @ SV5 @ SV4 ) @ SY98 ) ) )
= $true )
| ( ( mrel @ SV8 @ SV12 )
= $false )
| ( ( eiw_di @ SV10 @ SV8 )
= $false )
| ( ( mrel @ SV4 @ SV8 )
= $false )
| ( ( eiw_di @ SV5 @ SV4 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[113]) ).
thf(121,plain,
! [SV10: $i,SV5: $i,SV8: mworld,SV4: mworld,SV12: mworld] :
( ( ( mrel @ SV12 @ ( sK8_SY96 @ SV4 @ SV8 @ SV5 @ SV10 @ SV12 ) )
= $true )
| ( ( f @ SV10 @ SV5 @ ( sK7_SY95 @ SV8 @ SV4 @ SV5 @ SV10 @ SV12 ) )
= $false )
| ( ( ! [SY98: mworld] :
( ~ ( mrel @ SV12 @ SY98 )
| ( f @ SV10 @ ( sK5_SY39 @ SV5 @ SV4 ) @ SY98 ) ) )
= $true )
| ( ( mrel @ SV8 @ SV12 )
= $false )
| ( ( eiw_di @ SV10 @ SV8 )
= $false )
| ( ( mrel @ SV4 @ SV8 )
= $false )
| ( ( eiw_di @ SV5 @ SV4 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[114]) ).
thf(122,plain,
! [SV12: mworld,SV10: $i,SV5: $i,SV8: mworld,SV4: mworld] :
( ( ( ! [SY101: mworld] :
( ~ ( mrel @ ( sK8_SY96 @ SV4 @ SV8 @ SV5 @ SV10 @ SV12 ) @ SY101 )
| ( f @ SV10 @ SV10 @ SY101 ) ) )
= $true )
| ( ( f @ SV10 @ SV5 @ ( sK7_SY95 @ SV8 @ SV4 @ SV5 @ SV10 @ SV12 ) )
= $false )
| ( ( ! [SY98: mworld] :
( ~ ( mrel @ SV12 @ SY98 )
| ( f @ SV10 @ ( sK5_SY39 @ SV5 @ SV4 ) @ SY98 ) ) )
= $true )
| ( ( mrel @ SV8 @ SV12 )
= $false )
| ( ( eiw_di @ SV10 @ SV8 )
= $false )
| ( ( mrel @ SV4 @ SV8 )
= $false )
| ( ( eiw_di @ SV5 @ SV4 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[115]) ).
thf(123,plain,
! [SV5: $i,SV4: mworld,SV8: mworld,SV11: mworld,SV10: $i,SV16: mworld] :
( ( ( ! [SY100: mworld] :
( ~ ( mrel @ SV16 @ SY100 )
| ( f @ SV10 @ SV10 @ SY100 ) ) )
= $false )
| ( ( mrel @ SV11 @ SV16 )
= $false )
| ( ( mrel @ SV11 @ ( sK6_SY91 @ SV8 @ SV4 @ SV5 @ SV10 @ SV11 ) )
= $true )
| ( ( mrel @ SV8 @ SV11 )
= $false )
| ( ( eiw_di @ SV10 @ SV8 )
= $false )
| ( ( mrel @ SV4 @ SV8 )
= $false )
| ( ( eiw_di @ SV5 @ SV4 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[117]) ).
thf(124,plain,
! [SV10: $i,SV11: mworld,SV5: $i,SV4: mworld,SV8: mworld,SV14: mworld] :
( ( ( ~ ( mrel @ SV14 @ ( sK10_SY99 @ SV8 @ SV4 @ SV5 @ SV11 @ SV10 @ SV14 ) )
| ( f @ SV10 @ SV10 @ ( sK10_SY99 @ SV8 @ SV4 @ SV5 @ SV11 @ SV10 @ SV14 ) ) )
= $false )
| ( ( mrel @ SV11 @ SV14 )
= $false )
| ( ( f @ SV10 @ ( sK5_SY39 @ SV5 @ SV4 ) @ ( sK6_SY91 @ SV8 @ SV4 @ SV5 @ SV10 @ SV11 ) )
= $false )
| ( ( mrel @ SV8 @ SV11 )
= $false )
| ( ( eiw_di @ SV10 @ SV8 )
= $false )
| ( ( mrel @ SV4 @ SV8 )
= $false )
| ( ( eiw_di @ SV5 @ SV4 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[118]) ).
thf(125,plain,
! [SV10: $i,SV8: mworld,SV4: mworld,SV5: $i,SV12: mworld] :
( ( ( mrel @ SV12 @ ( sK9_SY96 @ SV5 @ SV4 @ SV8 @ SV10 @ SV12 ) )
= $true )
| ( ( mrel @ SV12 @ ( sK7_SY95 @ SV8 @ SV4 @ SV5 @ SV10 @ SV12 ) )
= $true )
| ( ( ! [SY98: mworld] :
( ~ ( mrel @ SV12 @ SY98 )
| ( f @ SV10 @ ( sK5_SY39 @ SV5 @ SV4 ) @ SY98 ) ) )
= $true )
| ( ( mrel @ SV8 @ SV12 )
= $false )
| ( ( eiw_di @ SV10 @ SV8 )
= $false )
| ( ( mrel @ SV4 @ SV8 )
= $false )
| ( ( eiw_di @ SV5 @ SV4 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[119]) ).
thf(126,plain,
! [SV12: mworld,SV10: $i,SV8: mworld,SV4: mworld,SV5: $i] :
( ( ( ! [SY102: mworld] :
( ~ ( mrel @ ( sK9_SY96 @ SV5 @ SV4 @ SV8 @ SV10 @ SV12 ) @ SY102 )
| ( f @ SV10 @ SV10 @ SY102 ) ) )
= $true )
| ( ( mrel @ SV12 @ ( sK7_SY95 @ SV8 @ SV4 @ SV5 @ SV10 @ SV12 ) )
= $true )
| ( ( ! [SY98: mworld] :
( ~ ( mrel @ SV12 @ SY98 )
| ( f @ SV10 @ ( sK5_SY39 @ SV5 @ SV4 ) @ SY98 ) ) )
= $true )
| ( ( mrel @ SV8 @ SV12 )
= $false )
| ( ( eiw_di @ SV10 @ SV8 )
= $false )
| ( ( mrel @ SV4 @ SV8 )
= $false )
| ( ( eiw_di @ SV5 @ SV4 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[120]) ).
thf(127,plain,
! [SV8: mworld,SV4: mworld,SV5: $i,SV10: $i,SV17: mworld,SV12: mworld] :
( ( ( ~ ( mrel @ SV12 @ SV17 )
| ( f @ SV10 @ ( sK5_SY39 @ SV5 @ SV4 ) @ SV17 ) )
= $true )
| ( ( f @ SV10 @ SV5 @ ( sK7_SY95 @ SV8 @ SV4 @ SV5 @ SV10 @ SV12 ) )
= $false )
| ( ( mrel @ SV12 @ ( sK8_SY96 @ SV4 @ SV8 @ SV5 @ SV10 @ SV12 ) )
= $true )
| ( ( mrel @ SV8 @ SV12 )
= $false )
| ( ( eiw_di @ SV10 @ SV8 )
= $false )
| ( ( mrel @ SV4 @ SV8 )
= $false )
| ( ( eiw_di @ SV5 @ SV4 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[121]) ).
thf(128,plain,
! [SV18: mworld,SV12: mworld,SV10: $i,SV5: $i,SV8: mworld,SV4: mworld] :
( ( ( ~ ( mrel @ ( sK8_SY96 @ SV4 @ SV8 @ SV5 @ SV10 @ SV12 ) @ SV18 )
| ( f @ SV10 @ SV10 @ SV18 ) )
= $true )
| ( ( f @ SV10 @ SV5 @ ( sK7_SY95 @ SV8 @ SV4 @ SV5 @ SV10 @ SV12 ) )
= $false )
| ( ( ! [SY98: mworld] :
( ~ ( mrel @ SV12 @ SY98 )
| ( f @ SV10 @ ( sK5_SY39 @ SV5 @ SV4 ) @ SY98 ) ) )
= $true )
| ( ( mrel @ SV8 @ SV12 )
= $false )
| ( ( eiw_di @ SV10 @ SV8 )
= $false )
| ( ( mrel @ SV4 @ SV8 )
= $false )
| ( ( eiw_di @ SV5 @ SV4 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[122]) ).
thf(129,plain,
! [SV10: $i,SV11: mworld,SV8: mworld,SV4: mworld,SV5: $i,SV16: mworld] :
( ( ( ~ ( mrel @ SV16 @ ( sK11_SY100 @ SV5 @ SV4 @ SV8 @ SV11 @ SV10 @ SV16 ) )
| ( f @ SV10 @ SV10 @ ( sK11_SY100 @ SV5 @ SV4 @ SV8 @ SV11 @ SV10 @ SV16 ) ) )
= $false )
| ( ( mrel @ SV11 @ SV16 )
= $false )
| ( ( mrel @ SV11 @ ( sK6_SY91 @ SV8 @ SV4 @ SV5 @ SV10 @ SV11 ) )
= $true )
| ( ( mrel @ SV8 @ SV11 )
= $false )
| ( ( eiw_di @ SV10 @ SV8 )
= $false )
| ( ( mrel @ SV4 @ SV8 )
= $false )
| ( ( eiw_di @ SV5 @ SV4 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[123]) ).
thf(130,plain,
! [SV10: $i,SV11: mworld,SV5: $i,SV4: mworld,SV8: mworld,SV14: mworld] :
( ( ( ~ ( mrel @ SV14 @ ( sK10_SY99 @ SV8 @ SV4 @ SV5 @ SV11 @ SV10 @ SV14 ) ) )
= $false )
| ( ( mrel @ SV11 @ SV14 )
= $false )
| ( ( f @ SV10 @ ( sK5_SY39 @ SV5 @ SV4 ) @ ( sK6_SY91 @ SV8 @ SV4 @ SV5 @ SV10 @ SV11 ) )
= $false )
| ( ( mrel @ SV8 @ SV11 )
= $false )
| ( ( eiw_di @ SV10 @ SV8 )
= $false )
| ( ( mrel @ SV4 @ SV8 )
= $false )
| ( ( eiw_di @ SV5 @ SV4 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[124]) ).
thf(131,plain,
! [SV14: mworld,SV11: mworld,SV5: $i,SV4: mworld,SV8: mworld,SV10: $i] :
( ( ( f @ SV10 @ SV10 @ ( sK10_SY99 @ SV8 @ SV4 @ SV5 @ SV11 @ SV10 @ SV14 ) )
= $false )
| ( ( mrel @ SV11 @ SV14 )
= $false )
| ( ( f @ SV10 @ ( sK5_SY39 @ SV5 @ SV4 ) @ ( sK6_SY91 @ SV8 @ SV4 @ SV5 @ SV10 @ SV11 ) )
= $false )
| ( ( mrel @ SV8 @ SV11 )
= $false )
| ( ( eiw_di @ SV10 @ SV8 )
= $false )
| ( ( mrel @ SV4 @ SV8 )
= $false )
| ( ( eiw_di @ SV5 @ SV4 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[124]) ).
thf(132,plain,
! [SV8: mworld,SV4: mworld,SV5: $i,SV10: $i,SV19: mworld,SV12: mworld] :
( ( ( ~ ( mrel @ SV12 @ SV19 )
| ( f @ SV10 @ ( sK5_SY39 @ SV5 @ SV4 ) @ SV19 ) )
= $true )
| ( ( mrel @ SV12 @ ( sK7_SY95 @ SV8 @ SV4 @ SV5 @ SV10 @ SV12 ) )
= $true )
| ( ( mrel @ SV12 @ ( sK9_SY96 @ SV5 @ SV4 @ SV8 @ SV10 @ SV12 ) )
= $true )
| ( ( mrel @ SV8 @ SV12 )
= $false )
| ( ( eiw_di @ SV10 @ SV8 )
= $false )
| ( ( mrel @ SV4 @ SV8 )
= $false )
| ( ( eiw_di @ SV5 @ SV4 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[125]) ).
thf(133,plain,
! [SV20: mworld,SV12: mworld,SV10: $i,SV8: mworld,SV4: mworld,SV5: $i] :
( ( ( ~ ( mrel @ ( sK9_SY96 @ SV5 @ SV4 @ SV8 @ SV10 @ SV12 ) @ SV20 )
| ( f @ SV10 @ SV10 @ SV20 ) )
= $true )
| ( ( mrel @ SV12 @ ( sK7_SY95 @ SV8 @ SV4 @ SV5 @ SV10 @ SV12 ) )
= $true )
| ( ( ! [SY98: mworld] :
( ~ ( mrel @ SV12 @ SY98 )
| ( f @ SV10 @ ( sK5_SY39 @ SV5 @ SV4 ) @ SY98 ) ) )
= $true )
| ( ( mrel @ SV8 @ SV12 )
= $false )
| ( ( eiw_di @ SV10 @ SV8 )
= $false )
| ( ( mrel @ SV4 @ SV8 )
= $false )
| ( ( eiw_di @ SV5 @ SV4 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[126]) ).
thf(134,plain,
! [SV8: mworld,SV4: mworld,SV5: $i,SV10: $i,SV17: mworld,SV12: mworld] :
( ( ( ~ ( mrel @ SV12 @ SV17 ) )
= $true )
| ( ( f @ SV10 @ ( sK5_SY39 @ SV5 @ SV4 ) @ SV17 )
= $true )
| ( ( f @ SV10 @ SV5 @ ( sK7_SY95 @ SV8 @ SV4 @ SV5 @ SV10 @ SV12 ) )
= $false )
| ( ( mrel @ SV12 @ ( sK8_SY96 @ SV4 @ SV8 @ SV5 @ SV10 @ SV12 ) )
= $true )
| ( ( mrel @ SV8 @ SV12 )
= $false )
| ( ( eiw_di @ SV10 @ SV8 )
= $false )
| ( ( mrel @ SV4 @ SV8 )
= $false )
| ( ( eiw_di @ SV5 @ SV4 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[127]) ).
thf(135,plain,
! [SV18: mworld,SV12: mworld,SV10: $i,SV5: $i,SV8: mworld,SV4: mworld] :
( ( ( ~ ( mrel @ ( sK8_SY96 @ SV4 @ SV8 @ SV5 @ SV10 @ SV12 ) @ SV18 ) )
= $true )
| ( ( f @ SV10 @ SV10 @ SV18 )
= $true )
| ( ( f @ SV10 @ SV5 @ ( sK7_SY95 @ SV8 @ SV4 @ SV5 @ SV10 @ SV12 ) )
= $false )
| ( ( ! [SY98: mworld] :
( ~ ( mrel @ SV12 @ SY98 )
| ( f @ SV10 @ ( sK5_SY39 @ SV5 @ SV4 ) @ SY98 ) ) )
= $true )
| ( ( mrel @ SV8 @ SV12 )
= $false )
| ( ( eiw_di @ SV10 @ SV8 )
= $false )
| ( ( mrel @ SV4 @ SV8 )
= $false )
| ( ( eiw_di @ SV5 @ SV4 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[128]) ).
thf(136,plain,
! [SV10: $i,SV11: mworld,SV8: mworld,SV4: mworld,SV5: $i,SV16: mworld] :
( ( ( ~ ( mrel @ SV16 @ ( sK11_SY100 @ SV5 @ SV4 @ SV8 @ SV11 @ SV10 @ SV16 ) ) )
= $false )
| ( ( mrel @ SV11 @ SV16 )
= $false )
| ( ( mrel @ SV11 @ ( sK6_SY91 @ SV8 @ SV4 @ SV5 @ SV10 @ SV11 ) )
= $true )
| ( ( mrel @ SV8 @ SV11 )
= $false )
| ( ( eiw_di @ SV10 @ SV8 )
= $false )
| ( ( mrel @ SV4 @ SV8 )
= $false )
| ( ( eiw_di @ SV5 @ SV4 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[129]) ).
thf(137,plain,
! [SV16: mworld,SV11: mworld,SV8: mworld,SV4: mworld,SV5: $i,SV10: $i] :
( ( ( f @ SV10 @ SV10 @ ( sK11_SY100 @ SV5 @ SV4 @ SV8 @ SV11 @ SV10 @ SV16 ) )
= $false )
| ( ( mrel @ SV11 @ SV16 )
= $false )
| ( ( mrel @ SV11 @ ( sK6_SY91 @ SV8 @ SV4 @ SV5 @ SV10 @ SV11 ) )
= $true )
| ( ( mrel @ SV8 @ SV11 )
= $false )
| ( ( eiw_di @ SV10 @ SV8 )
= $false )
| ( ( mrel @ SV4 @ SV8 )
= $false )
| ( ( eiw_di @ SV5 @ SV4 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[129]) ).
thf(138,plain,
! [SV10: $i,SV11: mworld,SV5: $i,SV4: mworld,SV8: mworld,SV14: mworld] :
( ( ( mrel @ SV14 @ ( sK10_SY99 @ SV8 @ SV4 @ SV5 @ SV11 @ SV10 @ SV14 ) )
= $true )
| ( ( mrel @ SV11 @ SV14 )
= $false )
| ( ( f @ SV10 @ ( sK5_SY39 @ SV5 @ SV4 ) @ ( sK6_SY91 @ SV8 @ SV4 @ SV5 @ SV10 @ SV11 ) )
= $false )
| ( ( mrel @ SV8 @ SV11 )
= $false )
| ( ( eiw_di @ SV10 @ SV8 )
= $false )
| ( ( mrel @ SV4 @ SV8 )
= $false )
| ( ( eiw_di @ SV5 @ SV4 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[130]) ).
thf(139,plain,
! [SV8: mworld,SV4: mworld,SV5: $i,SV10: $i,SV19: mworld,SV12: mworld] :
( ( ( ~ ( mrel @ SV12 @ SV19 ) )
= $true )
| ( ( f @ SV10 @ ( sK5_SY39 @ SV5 @ SV4 ) @ SV19 )
= $true )
| ( ( mrel @ SV12 @ ( sK7_SY95 @ SV8 @ SV4 @ SV5 @ SV10 @ SV12 ) )
= $true )
| ( ( mrel @ SV12 @ ( sK9_SY96 @ SV5 @ SV4 @ SV8 @ SV10 @ SV12 ) )
= $true )
| ( ( mrel @ SV8 @ SV12 )
= $false )
| ( ( eiw_di @ SV10 @ SV8 )
= $false )
| ( ( mrel @ SV4 @ SV8 )
= $false )
| ( ( eiw_di @ SV5 @ SV4 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[132]) ).
thf(140,plain,
! [SV20: mworld,SV12: mworld,SV10: $i,SV8: mworld,SV4: mworld,SV5: $i] :
( ( ( ~ ( mrel @ ( sK9_SY96 @ SV5 @ SV4 @ SV8 @ SV10 @ SV12 ) @ SV20 ) )
= $true )
| ( ( f @ SV10 @ SV10 @ SV20 )
= $true )
| ( ( mrel @ SV12 @ ( sK7_SY95 @ SV8 @ SV4 @ SV5 @ SV10 @ SV12 ) )
= $true )
| ( ( ! [SY98: mworld] :
( ~ ( mrel @ SV12 @ SY98 )
| ( f @ SV10 @ ( sK5_SY39 @ SV5 @ SV4 ) @ SY98 ) ) )
= $true )
| ( ( mrel @ SV8 @ SV12 )
= $false )
| ( ( eiw_di @ SV10 @ SV8 )
= $false )
| ( ( mrel @ SV4 @ SV8 )
= $false )
| ( ( eiw_di @ SV5 @ SV4 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[133]) ).
thf(141,plain,
! [SV8: mworld,SV4: mworld,SV5: $i,SV10: $i,SV17: mworld,SV12: mworld] :
( ( ( mrel @ SV12 @ SV17 )
= $false )
| ( ( f @ SV10 @ ( sK5_SY39 @ SV5 @ SV4 ) @ SV17 )
= $true )
| ( ( f @ SV10 @ SV5 @ ( sK7_SY95 @ SV8 @ SV4 @ SV5 @ SV10 @ SV12 ) )
= $false )
| ( ( mrel @ SV12 @ ( sK8_SY96 @ SV4 @ SV8 @ SV5 @ SV10 @ SV12 ) )
= $true )
| ( ( mrel @ SV8 @ SV12 )
= $false )
| ( ( eiw_di @ SV10 @ SV8 )
= $false )
| ( ( mrel @ SV4 @ SV8 )
= $false )
| ( ( eiw_di @ SV5 @ SV4 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[134]) ).
thf(142,plain,
! [SV18: mworld,SV12: mworld,SV10: $i,SV5: $i,SV8: mworld,SV4: mworld] :
( ( ( mrel @ ( sK8_SY96 @ SV4 @ SV8 @ SV5 @ SV10 @ SV12 ) @ SV18 )
= $false )
| ( ( f @ SV10 @ SV10 @ SV18 )
= $true )
| ( ( f @ SV10 @ SV5 @ ( sK7_SY95 @ SV8 @ SV4 @ SV5 @ SV10 @ SV12 ) )
= $false )
| ( ( ! [SY98: mworld] :
( ~ ( mrel @ SV12 @ SY98 )
| ( f @ SV10 @ ( sK5_SY39 @ SV5 @ SV4 ) @ SY98 ) ) )
= $true )
| ( ( mrel @ SV8 @ SV12 )
= $false )
| ( ( eiw_di @ SV10 @ SV8 )
= $false )
| ( ( mrel @ SV4 @ SV8 )
= $false )
| ( ( eiw_di @ SV5 @ SV4 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[135]) ).
thf(143,plain,
! [SV10: $i,SV11: mworld,SV8: mworld,SV4: mworld,SV5: $i,SV16: mworld] :
( ( ( mrel @ SV16 @ ( sK11_SY100 @ SV5 @ SV4 @ SV8 @ SV11 @ SV10 @ SV16 ) )
= $true )
| ( ( mrel @ SV11 @ SV16 )
= $false )
| ( ( mrel @ SV11 @ ( sK6_SY91 @ SV8 @ SV4 @ SV5 @ SV10 @ SV11 ) )
= $true )
| ( ( mrel @ SV8 @ SV11 )
= $false )
| ( ( eiw_di @ SV10 @ SV8 )
= $false )
| ( ( mrel @ SV4 @ SV8 )
= $false )
| ( ( eiw_di @ SV5 @ SV4 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[136]) ).
thf(144,plain,
! [SV8: mworld,SV4: mworld,SV5: $i,SV10: $i,SV19: mworld,SV12: mworld] :
( ( ( mrel @ SV12 @ SV19 )
= $false )
| ( ( f @ SV10 @ ( sK5_SY39 @ SV5 @ SV4 ) @ SV19 )
= $true )
| ( ( mrel @ SV12 @ ( sK7_SY95 @ SV8 @ SV4 @ SV5 @ SV10 @ SV12 ) )
= $true )
| ( ( mrel @ SV12 @ ( sK9_SY96 @ SV5 @ SV4 @ SV8 @ SV10 @ SV12 ) )
= $true )
| ( ( mrel @ SV8 @ SV12 )
= $false )
| ( ( eiw_di @ SV10 @ SV8 )
= $false )
| ( ( mrel @ SV4 @ SV8 )
= $false )
| ( ( eiw_di @ SV5 @ SV4 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[139]) ).
thf(145,plain,
! [SV20: mworld,SV12: mworld,SV10: $i,SV8: mworld,SV4: mworld,SV5: $i] :
( ( ( mrel @ ( sK9_SY96 @ SV5 @ SV4 @ SV8 @ SV10 @ SV12 ) @ SV20 )
= $false )
| ( ( f @ SV10 @ SV10 @ SV20 )
= $true )
| ( ( mrel @ SV12 @ ( sK7_SY95 @ SV8 @ SV4 @ SV5 @ SV10 @ SV12 ) )
= $true )
| ( ( ! [SY98: mworld] :
( ~ ( mrel @ SV12 @ SY98 )
| ( f @ SV10 @ ( sK5_SY39 @ SV5 @ SV4 ) @ SY98 ) ) )
= $true )
| ( ( mrel @ SV8 @ SV12 )
= $false )
| ( ( eiw_di @ SV10 @ SV8 )
= $false )
| ( ( mrel @ SV4 @ SV8 )
= $false )
| ( ( eiw_di @ SV5 @ SV4 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[140]) ).
thf(146,plain,
! [SV18: mworld,SV8: mworld,SV4: mworld,SV5: $i,SV10: $i,SV21: mworld,SV12: mworld] :
( ( ( ~ ( mrel @ SV12 @ SV21 )
| ( f @ SV10 @ ( sK5_SY39 @ SV5 @ SV4 ) @ SV21 ) )
= $true )
| ( ( f @ SV10 @ SV5 @ ( sK7_SY95 @ SV8 @ SV4 @ SV5 @ SV10 @ SV12 ) )
= $false )
| ( ( f @ SV10 @ SV10 @ SV18 )
= $true )
| ( ( mrel @ ( sK8_SY96 @ SV4 @ SV8 @ SV5 @ SV10 @ SV12 ) @ SV18 )
= $false )
| ( ( mrel @ SV8 @ SV12 )
= $false )
| ( ( eiw_di @ SV10 @ SV8 )
= $false )
| ( ( mrel @ SV4 @ SV8 )
= $false )
| ( ( eiw_di @ SV5 @ SV4 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[142]) ).
thf(147,plain,
! [SV20: mworld,SV8: mworld,SV4: mworld,SV5: $i,SV10: $i,SV22: mworld,SV12: mworld] :
( ( ( ~ ( mrel @ SV12 @ SV22 )
| ( f @ SV10 @ ( sK5_SY39 @ SV5 @ SV4 ) @ SV22 ) )
= $true )
| ( ( mrel @ SV12 @ ( sK7_SY95 @ SV8 @ SV4 @ SV5 @ SV10 @ SV12 ) )
= $true )
| ( ( f @ SV10 @ SV10 @ SV20 )
= $true )
| ( ( mrel @ ( sK9_SY96 @ SV5 @ SV4 @ SV8 @ SV10 @ SV12 ) @ SV20 )
= $false )
| ( ( mrel @ SV8 @ SV12 )
= $false )
| ( ( eiw_di @ SV10 @ SV8 )
= $false )
| ( ( mrel @ SV4 @ SV8 )
= $false )
| ( ( eiw_di @ SV5 @ SV4 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[145]) ).
thf(148,plain,
! [SV18: mworld,SV8: mworld,SV4: mworld,SV5: $i,SV10: $i,SV21: mworld,SV12: mworld] :
( ( ( ~ ( mrel @ SV12 @ SV21 ) )
= $true )
| ( ( f @ SV10 @ ( sK5_SY39 @ SV5 @ SV4 ) @ SV21 )
= $true )
| ( ( f @ SV10 @ SV5 @ ( sK7_SY95 @ SV8 @ SV4 @ SV5 @ SV10 @ SV12 ) )
= $false )
| ( ( f @ SV10 @ SV10 @ SV18 )
= $true )
| ( ( mrel @ ( sK8_SY96 @ SV4 @ SV8 @ SV5 @ SV10 @ SV12 ) @ SV18 )
= $false )
| ( ( mrel @ SV8 @ SV12 )
= $false )
| ( ( eiw_di @ SV10 @ SV8 )
= $false )
| ( ( mrel @ SV4 @ SV8 )
= $false )
| ( ( eiw_di @ SV5 @ SV4 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[146]) ).
thf(149,plain,
! [SV20: mworld,SV8: mworld,SV4: mworld,SV5: $i,SV10: $i,SV22: mworld,SV12: mworld] :
( ( ( ~ ( mrel @ SV12 @ SV22 ) )
= $true )
| ( ( f @ SV10 @ ( sK5_SY39 @ SV5 @ SV4 ) @ SV22 )
= $true )
| ( ( mrel @ SV12 @ ( sK7_SY95 @ SV8 @ SV4 @ SV5 @ SV10 @ SV12 ) )
= $true )
| ( ( f @ SV10 @ SV10 @ SV20 )
= $true )
| ( ( mrel @ ( sK9_SY96 @ SV5 @ SV4 @ SV8 @ SV10 @ SV12 ) @ SV20 )
= $false )
| ( ( mrel @ SV8 @ SV12 )
= $false )
| ( ( eiw_di @ SV10 @ SV8 )
= $false )
| ( ( mrel @ SV4 @ SV8 )
= $false )
| ( ( eiw_di @ SV5 @ SV4 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[147]) ).
thf(150,plain,
! [SV18: mworld,SV8: mworld,SV4: mworld,SV5: $i,SV10: $i,SV21: mworld,SV12: mworld] :
( ( ( mrel @ SV12 @ SV21 )
= $false )
| ( ( f @ SV10 @ ( sK5_SY39 @ SV5 @ SV4 ) @ SV21 )
= $true )
| ( ( f @ SV10 @ SV5 @ ( sK7_SY95 @ SV8 @ SV4 @ SV5 @ SV10 @ SV12 ) )
= $false )
| ( ( f @ SV10 @ SV10 @ SV18 )
= $true )
| ( ( mrel @ ( sK8_SY96 @ SV4 @ SV8 @ SV5 @ SV10 @ SV12 ) @ SV18 )
= $false )
| ( ( mrel @ SV8 @ SV12 )
= $false )
| ( ( eiw_di @ SV10 @ SV8 )
= $false )
| ( ( mrel @ SV4 @ SV8 )
= $false )
| ( ( eiw_di @ SV5 @ SV4 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[148]) ).
thf(151,plain,
! [SV20: mworld,SV8: mworld,SV4: mworld,SV5: $i,SV10: $i,SV22: mworld,SV12: mworld] :
( ( ( mrel @ SV12 @ SV22 )
= $false )
| ( ( f @ SV10 @ ( sK5_SY39 @ SV5 @ SV4 ) @ SV22 )
= $true )
| ( ( mrel @ SV12 @ ( sK7_SY95 @ SV8 @ SV4 @ SV5 @ SV10 @ SV12 ) )
= $true )
| ( ( f @ SV10 @ SV10 @ SV20 )
= $true )
| ( ( mrel @ ( sK9_SY96 @ SV5 @ SV4 @ SV8 @ SV10 @ SV12 ) @ SV20 )
= $false )
| ( ( mrel @ SV8 @ SV12 )
= $false )
| ( ( eiw_di @ SV10 @ SV8 )
= $false )
| ( ( mrel @ SV4 @ SV8 )
= $false )
| ( ( eiw_di @ SV5 @ SV4 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[149]) ).
thf(152,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[12,151,150,144,143,141,138,137,131,116,111,62,50,41,27,18,14]) ).
thf(153,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[152]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : LCL960^12 : TPTP v8.1.0. Released v8.1.0.
% 0.06/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.34 % Computer : n029.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun Jul 3 17:27:11 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.46
% 0.19/0.46 No.of.Axioms: 2
% 0.19/0.46
% 0.19/0.46 Length.of.Defs: 1623
% 0.19/0.46
% 0.19/0.46 Contains.Choice.Funs: false
% 0.36/0.55 (rf:0,axioms:2,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:4,loop_count:0,foatp_calls:0,translation:fof_full).....................
% 0.80/1.01
% 0.80/1.01 ********************************
% 0.80/1.01 * All subproblems solved! *
% 0.80/1.01 ********************************
% 0.80/1.01 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:2,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:152,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.80/1.02
% 0.80/1.02 %**** Beginning of derivation protocol ****
% 0.80/1.02 % SZS output start CNFRefutation
% See solution above
% 0.80/1.03
% 0.80/1.03 %**** End of derivation protocol ****
% 0.80/1.03 %**** no. of clauses in derivation: 153 ****
% 0.80/1.03 %**** clause counter: 152 ****
% 0.80/1.03
% 0.80/1.03 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:2,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:152,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------