TSTP Solution File: NUM607+1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM607+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.G7bZ18QZPe true
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 12:42:42 EDT 2023
% Result : Theorem 1.31s 1.25s
% Output : Refutation 1.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 34
% Syntax : Number of formulae : 84 ( 34 unt; 21 typ; 0 def)
% Number of atoms : 137 ( 26 equ; 0 cnn)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 432 ( 57 ~; 52 |; 14 &; 301 @)
% ( 3 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 16 ( 16 >; 0 *; 0 +; 0 <<)
% Number of symbols : 23 ( 21 usr; 11 con; 0-2 aty)
% Number of variables : 46 ( 0 ^; 46 !; 0 ?; 46 :)
% Comments :
%------------------------------------------------------------------------------
thf(szDzizrdt0_type,type,
szDzizrdt0: $i > $i ).
thf(aSet0_type,type,
aSet0: $i > $o ).
thf(szDzozmdt0_type,type,
szDzozmdt0: $i > $i ).
thf(aFunction0_type,type,
aFunction0: $i > $o ).
thf(slbdtsldtrb0_type,type,
slbdtsldtrb0: $i > $i > $i ).
thf(xQ_type,type,
xQ: $i ).
thf(isCountable0_type,type,
isCountable0: $i > $o ).
thf(xc_type,type,
xc: $i ).
thf(sdtlbdtrb0_type,type,
sdtlbdtrb0: $i > $i > $i ).
thf(sbrdtbr0_type,type,
sbrdtbr0: $i > $i ).
thf(xS_type,type,
xS: $i ).
thf(xe_type,type,
xe: $i ).
thf(xd_type,type,
xd: $i ).
thf(aSubsetOf0_type,type,
aSubsetOf0: $i > $i > $o ).
thf(slcrc0_type,type,
slcrc0: $i ).
thf(xO_type,type,
xO: $i ).
thf(xT_type,type,
xT: $i ).
thf(xK_type,type,
xK: $i ).
thf(szNzAzT0_type,type,
szNzAzT0: $i ).
thf(aElementOf0_type,type,
aElementOf0: $i > $i > $o ).
thf(sdtlcdtrc0_type,type,
sdtlcdtrc0: $i > $i > $i ).
thf(m__5093,axiom,
( ( xQ != slcrc0 )
& ( aSubsetOf0 @ xQ @ xO ) ) ).
thf(zip_derived_cl153,plain,
aSubsetOf0 @ xQ @ xO,
inference(cnf,[status(esa)],[m__5093]) ).
thf(m__4891,axiom,
( ( xO
= ( sdtlcdtrc0 @ xe @ ( sdtlbdtrb0 @ xd @ ( szDzizrdt0 @ xd ) ) ) )
& ( aSet0 @ xO ) ) ).
thf(zip_derived_cl143,plain,
( xO
= ( sdtlcdtrc0 @ xe @ ( sdtlbdtrb0 @ xd @ ( szDzizrdt0 @ xd ) ) ) ),
inference(cnf,[status(esa)],[m__4891]) ).
thf(zip_derived_cl203,plain,
aSubsetOf0 @ xQ @ ( sdtlcdtrc0 @ xe @ ( sdtlbdtrb0 @ xd @ ( szDzizrdt0 @ xd ) ) ),
inference(demod,[status(thm)],[zip_derived_cl153,zip_derived_cl143]) ).
thf(m__4998,axiom,
aSubsetOf0 @ xO @ xS ).
thf(zip_derived_cl150,plain,
aSubsetOf0 @ xO @ xS,
inference(cnf,[status(esa)],[m__4998]) ).
thf(zip_derived_cl143_001,plain,
( xO
= ( sdtlcdtrc0 @ xe @ ( sdtlbdtrb0 @ xd @ ( szDzizrdt0 @ xd ) ) ) ),
inference(cnf,[status(esa)],[m__4891]) ).
thf(zip_derived_cl198,plain,
aSubsetOf0 @ ( sdtlcdtrc0 @ xe @ ( sdtlbdtrb0 @ xd @ ( szDzizrdt0 @ xd ) ) ) @ xS,
inference(demod,[status(thm)],[zip_derived_cl150,zip_derived_cl143]) ).
thf(mSubTrans,axiom,
! [W0: $i,W1: $i,W2: $i] :
( ( ( aSet0 @ W0 )
& ( aSet0 @ W1 )
& ( aSet0 @ W2 ) )
=> ( ( ( aSubsetOf0 @ W0 @ W1 )
& ( aSubsetOf0 @ W1 @ W2 ) )
=> ( aSubsetOf0 @ W0 @ W2 ) ) ) ).
thf(zip_derived_cl18,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aSubsetOf0 @ X0 @ X1 )
| ~ ( aSet0 @ X1 )
| ~ ( aSet0 @ X0 )
| ~ ( aSet0 @ X2 )
| ( aSubsetOf0 @ X0 @ X2 )
| ~ ( aSubsetOf0 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[mSubTrans]) ).
thf(mDefSub,axiom,
! [W0: $i] :
( ( aSet0 @ W0 )
=> ! [W1: $i] :
( ( aSubsetOf0 @ W1 @ W0 )
<=> ( ( aSet0 @ W1 )
& ! [W2: $i] :
( ( aElementOf0 @ W2 @ W1 )
=> ( aElementOf0 @ W2 @ W0 ) ) ) ) ) ).
thf(zip_derived_cl14,plain,
! [X0: $i,X1: $i] :
( ~ ( aSubsetOf0 @ X0 @ X1 )
| ( aSet0 @ X0 )
| ~ ( aSet0 @ X1 ) ),
inference(cnf,[status(esa)],[mDefSub]) ).
thf(zip_derived_cl541,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aSubsetOf0 @ X1 @ X2 )
| ( aSubsetOf0 @ X0 @ X2 )
| ~ ( aSet0 @ X2 )
| ~ ( aSet0 @ X0 )
| ~ ( aSubsetOf0 @ X0 @ X1 ) ),
inference(clc,[status(thm)],[zip_derived_cl18,zip_derived_cl14]) ).
thf(zip_derived_cl547,plain,
! [X0: $i] :
( ~ ( aSubsetOf0 @ X0 @ ( sdtlcdtrc0 @ xe @ ( sdtlbdtrb0 @ xd @ ( szDzizrdt0 @ xd ) ) ) )
| ~ ( aSet0 @ X0 )
| ~ ( aSet0 @ xS )
| ( aSubsetOf0 @ X0 @ xS ) ),
inference('sup-',[status(thm)],[zip_derived_cl198,zip_derived_cl541]) ).
thf(m__3435,axiom,
( ( isCountable0 @ xS )
& ( aSubsetOf0 @ xS @ szNzAzT0 ) ) ).
thf(zip_derived_cl99,plain,
aSubsetOf0 @ xS @ szNzAzT0,
inference(cnf,[status(esa)],[m__3435]) ).
thf(zip_derived_cl14_002,plain,
! [X0: $i,X1: $i] :
( ~ ( aSubsetOf0 @ X0 @ X1 )
| ( aSet0 @ X0 )
| ~ ( aSet0 @ X1 ) ),
inference(cnf,[status(esa)],[mDefSub]) ).
thf(zip_derived_cl174,plain,
( ~ ( aSet0 @ szNzAzT0 )
| ( aSet0 @ xS ) ),
inference('sup-',[status(thm)],[zip_derived_cl99,zip_derived_cl14]) ).
thf(mNATSet,axiom,
( ( isCountable0 @ szNzAzT0 )
& ( aSet0 @ szNzAzT0 ) ) ).
thf(zip_derived_cl44,plain,
aSet0 @ szNzAzT0,
inference(cnf,[status(esa)],[mNATSet]) ).
thf(zip_derived_cl175,plain,
aSet0 @ xS,
inference(demod,[status(thm)],[zip_derived_cl174,zip_derived_cl44]) ).
thf(zip_derived_cl559,plain,
! [X0: $i] :
( ~ ( aSubsetOf0 @ X0 @ ( sdtlcdtrc0 @ xe @ ( sdtlbdtrb0 @ xd @ ( szDzizrdt0 @ xd ) ) ) )
| ~ ( aSet0 @ X0 )
| ( aSubsetOf0 @ X0 @ xS ) ),
inference(demod,[status(thm)],[zip_derived_cl547,zip_derived_cl175]) ).
thf(zip_derived_cl4654,plain,
( ( aSubsetOf0 @ xQ @ xS )
| ~ ( aSet0 @ xQ ) ),
inference('sup-',[status(thm)],[zip_derived_cl203,zip_derived_cl559]) ).
thf(zip_derived_cl203_003,plain,
aSubsetOf0 @ xQ @ ( sdtlcdtrc0 @ xe @ ( sdtlbdtrb0 @ xd @ ( szDzizrdt0 @ xd ) ) ),
inference(demod,[status(thm)],[zip_derived_cl153,zip_derived_cl143]) ).
thf(zip_derived_cl14_004,plain,
! [X0: $i,X1: $i] :
( ~ ( aSubsetOf0 @ X0 @ X1 )
| ( aSet0 @ X0 )
| ~ ( aSet0 @ X1 ) ),
inference(cnf,[status(esa)],[mDefSub]) ).
thf(zip_derived_cl204,plain,
( ~ ( aSet0 @ ( sdtlcdtrc0 @ xe @ ( sdtlbdtrb0 @ xd @ ( szDzizrdt0 @ xd ) ) ) )
| ( aSet0 @ xQ ) ),
inference('sup-',[status(thm)],[zip_derived_cl203,zip_derived_cl14]) ).
thf(m__4908,axiom,
( ( isCountable0 @ xO )
& ( aSet0 @ xO ) ) ).
thf(zip_derived_cl146,plain,
aSet0 @ xO,
inference(cnf,[status(esa)],[m__4908]) ).
thf(zip_derived_cl143_005,plain,
( xO
= ( sdtlcdtrc0 @ xe @ ( sdtlbdtrb0 @ xd @ ( szDzizrdt0 @ xd ) ) ) ),
inference(cnf,[status(esa)],[m__4891]) ).
thf(zip_derived_cl183,plain,
aSet0 @ ( sdtlcdtrc0 @ xe @ ( sdtlbdtrb0 @ xd @ ( szDzizrdt0 @ xd ) ) ),
inference(demod,[status(thm)],[zip_derived_cl146,zip_derived_cl143]) ).
thf(zip_derived_cl206,plain,
aSet0 @ xQ,
inference(demod,[status(thm)],[zip_derived_cl204,zip_derived_cl183]) ).
thf(zip_derived_cl4668,plain,
aSubsetOf0 @ xQ @ xS,
inference(demod,[status(thm)],[zip_derived_cl4654,zip_derived_cl206]) ).
thf(m__5078,axiom,
aElementOf0 @ xQ @ ( slbdtsldtrb0 @ xO @ xK ) ).
thf(zip_derived_cl151,plain,
aElementOf0 @ xQ @ ( slbdtsldtrb0 @ xO @ xK ),
inference(cnf,[status(esa)],[m__5078]) ).
thf(zip_derived_cl143_006,plain,
( xO
= ( sdtlcdtrc0 @ xe @ ( sdtlbdtrb0 @ xd @ ( szDzizrdt0 @ xd ) ) ) ),
inference(cnf,[status(esa)],[m__4891]) ).
thf(zip_derived_cl241,plain,
aElementOf0 @ xQ @ ( slbdtsldtrb0 @ ( sdtlcdtrc0 @ xe @ ( sdtlbdtrb0 @ xd @ ( szDzizrdt0 @ xd ) ) ) @ xK ),
inference(demod,[status(thm)],[zip_derived_cl151,zip_derived_cl143]) ).
thf(m__3418,axiom,
aElementOf0 @ xK @ szNzAzT0 ).
thf(zip_derived_cl97,plain,
aElementOf0 @ xK @ szNzAzT0,
inference(cnf,[status(esa)],[m__3418]) ).
thf(mDefSel,axiom,
! [W0: $i,W1: $i] :
( ( ( aSet0 @ W0 )
& ( aElementOf0 @ W1 @ szNzAzT0 ) )
=> ! [W2: $i] :
( ( W2
= ( slbdtsldtrb0 @ W0 @ W1 ) )
<=> ( ( aSet0 @ W2 )
& ! [W3: $i] :
( ( aElementOf0 @ W3 @ W2 )
<=> ( ( aSubsetOf0 @ W3 @ W0 )
& ( ( sbrdtbr0 @ W3 )
= W1 ) ) ) ) ) ) ).
thf(zip_derived_cl57,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( aSet0 @ X0 )
| ~ ( aElementOf0 @ X1 @ szNzAzT0 )
| ~ ( aElementOf0 @ X2 @ X3 )
| ( ( sbrdtbr0 @ X2 )
= X1 )
| ( X3
!= ( slbdtsldtrb0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mDefSel]) ).
thf(zip_derived_cl615,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0
!= ( slbdtsldtrb0 @ X1 @ xK ) )
| ( ( sbrdtbr0 @ X2 )
= xK )
| ~ ( aElementOf0 @ X2 @ X0 )
| ~ ( aSet0 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl97,zip_derived_cl57]) ).
thf(zip_derived_cl652,plain,
! [X0: $i,X1: $i] :
( ~ ( aSet0 @ X0 )
| ~ ( aElementOf0 @ X1 @ ( slbdtsldtrb0 @ X0 @ xK ) )
| ( ( sbrdtbr0 @ X1 )
= xK ) ),
inference(eq_res,[status(thm)],[zip_derived_cl615]) ).
thf(zip_derived_cl653,plain,
( ( ( sbrdtbr0 @ xQ )
= xK )
| ~ ( aSet0 @ ( sdtlcdtrc0 @ xe @ ( sdtlbdtrb0 @ xd @ ( szDzizrdt0 @ xd ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl241,zip_derived_cl652]) ).
thf(zip_derived_cl183_007,plain,
aSet0 @ ( sdtlcdtrc0 @ xe @ ( sdtlbdtrb0 @ xd @ ( szDzizrdt0 @ xd ) ) ),
inference(demod,[status(thm)],[zip_derived_cl146,zip_derived_cl143]) ).
thf(zip_derived_cl655,plain,
( ( sbrdtbr0 @ xQ )
= xK ),
inference(demod,[status(thm)],[zip_derived_cl653,zip_derived_cl183]) ).
thf(zip_derived_cl59,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( aSet0 @ X0 )
| ~ ( aElementOf0 @ X1 @ szNzAzT0 )
| ~ ( aSubsetOf0 @ X2 @ X0 )
| ( ( sbrdtbr0 @ X2 )
!= X1 )
| ( aElementOf0 @ X2 @ X3 )
| ( X3
!= ( slbdtsldtrb0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mDefSel]) ).
thf(zip_derived_cl802,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0
!= ( slbdtsldtrb0 @ X2 @ ( sbrdtbr0 @ X1 ) ) )
| ( aElementOf0 @ X1 @ X0 )
| ~ ( aSubsetOf0 @ X1 @ X2 )
| ~ ( aElementOf0 @ ( sbrdtbr0 @ X1 ) @ szNzAzT0 )
| ~ ( aSet0 @ X2 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl59]) ).
thf(zip_derived_cl804,plain,
! [X0: $i,X1: $i] :
( ~ ( aElementOf0 @ xK @ szNzAzT0 )
| ~ ( aSet0 @ X0 )
| ~ ( aSubsetOf0 @ xQ @ X0 )
| ( aElementOf0 @ xQ @ X1 )
| ( X1
!= ( slbdtsldtrb0 @ X0 @ ( sbrdtbr0 @ xQ ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl655,zip_derived_cl802]) ).
thf(zip_derived_cl97_008,plain,
aElementOf0 @ xK @ szNzAzT0,
inference(cnf,[status(esa)],[m__3418]) ).
thf(zip_derived_cl655_009,plain,
( ( sbrdtbr0 @ xQ )
= xK ),
inference(demod,[status(thm)],[zip_derived_cl653,zip_derived_cl183]) ).
thf(zip_derived_cl805,plain,
! [X0: $i,X1: $i] :
( ~ ( aSet0 @ X0 )
| ~ ( aSubsetOf0 @ xQ @ X0 )
| ( aElementOf0 @ xQ @ X1 )
| ( X1
!= ( slbdtsldtrb0 @ X0 @ xK ) ) ),
inference(demod,[status(thm)],[zip_derived_cl804,zip_derived_cl97,zip_derived_cl655]) ).
thf(zip_derived_cl4675,plain,
! [X0: $i] :
( ( X0
!= ( slbdtsldtrb0 @ xS @ xK ) )
| ( aElementOf0 @ xQ @ X0 )
| ~ ( aSet0 @ xS ) ),
inference('sup-',[status(thm)],[zip_derived_cl4668,zip_derived_cl805]) ).
thf(zip_derived_cl175_010,plain,
aSet0 @ xS,
inference(demod,[status(thm)],[zip_derived_cl174,zip_derived_cl44]) ).
thf(zip_derived_cl4688,plain,
! [X0: $i] :
( ( X0
!= ( slbdtsldtrb0 @ xS @ xK ) )
| ( aElementOf0 @ xQ @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl4675,zip_derived_cl175]) ).
thf(m__,conjecture,
aElementOf0 @ xQ @ ( szDzozmdt0 @ xc ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( aElementOf0 @ xQ @ ( szDzozmdt0 @ xc ) ),
inference('cnf.neg',[status(esa)],[m__]) ).
thf(zip_derived_cl155,plain,
~ ( aElementOf0 @ xQ @ ( szDzozmdt0 @ xc ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(m__3453,axiom,
( ( aSubsetOf0 @ ( sdtlcdtrc0 @ xc @ ( szDzozmdt0 @ xc ) ) @ xT )
& ( ( szDzozmdt0 @ xc )
= ( slbdtsldtrb0 @ xS @ xK ) )
& ( aFunction0 @ xc ) ) ).
thf(zip_derived_cl101,plain,
( ( szDzozmdt0 @ xc )
= ( slbdtsldtrb0 @ xS @ xK ) ),
inference(cnf,[status(esa)],[m__3453]) ).
thf(zip_derived_cl158,plain,
~ ( aElementOf0 @ xQ @ ( slbdtsldtrb0 @ xS @ xK ) ),
inference(demod,[status(thm)],[zip_derived_cl155,zip_derived_cl101]) ).
thf(zip_derived_cl4747,plain,
( ( slbdtsldtrb0 @ xS @ xK )
!= ( slbdtsldtrb0 @ xS @ xK ) ),
inference('sup-',[status(thm)],[zip_derived_cl4688,zip_derived_cl158]) ).
thf(zip_derived_cl4758,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl4747]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : NUM607+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.15 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.G7bZ18QZPe true
% 0.15/0.37 % Computer : n021.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Fri Aug 25 12:56:56 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.15/0.37 % Running portfolio for 300 s
% 0.15/0.37 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.37 % Number of cores: 8
% 0.15/0.37 % Python version: Python 3.6.8
% 0.15/0.37 % Running in FO mode
% 0.23/0.68 % Total configuration time : 435
% 0.23/0.68 % Estimated wc time : 1092
% 0.23/0.68 % Estimated cpu time (7 cpus) : 156.0
% 0.23/0.74 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.23/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.23/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.23/0.77 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.23/0.77 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.23/0.77 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.23/0.78 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.01/0.82 % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 1.31/1.25 % Solved by fo/fo7.sh.
% 1.31/1.25 % done 522 iterations in 0.438s
% 1.31/1.25 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.31/1.25 % SZS output start Refutation
% See solution above
% 1.31/1.25
% 1.31/1.25
% 1.31/1.25 % Terminating...
% 1.31/1.31 % Runner terminated.
% 1.31/1.32 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------