TSTP Solution File: NUM578+1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM578+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.nDHqwBGzV3 true
% Computer : n020.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 12:42:29 EDT 2023
% Result : Theorem 0.59s 0.84s
% Output : Refutation 0.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 14
% Syntax : Number of formulae : 39 ( 11 unt; 11 typ; 0 def)
% Number of atoms : 66 ( 23 equ; 0 cnn)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 259 ( 28 ~; 15 |; 5 &; 193 @)
% ( 0 <=>; 9 =>; 9 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 12 ( 12 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 11 usr; 5 con; 0-2 aty)
% Number of variables : 8 ( 0 ^; 8 !; 0 ?; 8 :)
% Comments :
%------------------------------------------------------------------------------
thf(xj_type,type,
xj: $i ).
thf(szszuzczcdt0_type,type,
szszuzczcdt0: $i > $i ).
thf(sdtlpdtrp0_type,type,
sdtlpdtrp0: $i > $i > $i ).
thf(xN_type,type,
xN: $i ).
thf(sdtlseqdt0_type,type,
sdtlseqdt0: $i > $i > $o ).
thf(sdtmndt0_type,type,
sdtmndt0: $i > $i > $i ).
thf(szmzizndt0_type,type,
szmzizndt0: $i > $i ).
thf(aSubsetOf0_type,type,
aSubsetOf0: $i > $i > $o ).
thf(xi_type,type,
xi: $i ).
thf(szNzAzT0_type,type,
szNzAzT0: $i ).
thf(aElementOf0_type,type,
aElementOf0: $i > $i > $o ).
thf(m__3856_02,axiom,
( ( xi != xj )
=> ( ( sdtlseqdt0 @ ( szszuzczcdt0 @ xj ) @ xi )
| ( sdtlseqdt0 @ ( szszuzczcdt0 @ xi ) @ xj ) ) ) ).
thf(zip_derived_cl170,plain,
( ( sdtlseqdt0 @ ( szszuzczcdt0 @ xi ) @ xj )
| ( sdtlseqdt0 @ ( szszuzczcdt0 @ xj ) @ xi )
| ( xi = xj ) ),
inference(cnf,[status(esa)],[m__3856_02]) ).
thf(zip_derived_cl176,plain,
( ( sdtlseqdt0 @ ( szszuzczcdt0 @ xi ) @ xj )
<= ( sdtlseqdt0 @ ( szszuzczcdt0 @ xi ) @ xj ) ),
inference(split,[status(esa)],[zip_derived_cl170]) ).
thf(m__,conjecture,
( ! [W0: $i,W1: $i] :
( ( ( aElementOf0 @ W0 @ szNzAzT0 )
& ( aElementOf0 @ W1 @ szNzAzT0 ) )
=> ( ( sdtlseqdt0 @ ( szszuzczcdt0 @ W0 ) @ W1 )
=> ( ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ W1 ) @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) )
& ( ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W1 ) )
!= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) ) )
=> ( ( xi != xj )
=> ( ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) )
!= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xj ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ! [W0: $i,W1: $i] :
( ( ( aElementOf0 @ W0 @ szNzAzT0 )
& ( aElementOf0 @ W1 @ szNzAzT0 ) )
=> ( ( sdtlseqdt0 @ ( szszuzczcdt0 @ W0 ) @ W1 )
=> ( ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ W1 ) @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) )
& ( ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W1 ) )
!= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) ) )
=> ( ( xi != xj )
=> ( ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) )
!= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xj ) ) ) ) ),
inference('cnf.neg',[status(esa)],[m__]) ).
thf(zip_derived_cl172,plain,
! [X0: $i,X1: $i] :
( ~ ( aElementOf0 @ X0 @ szNzAzT0 )
| ~ ( aElementOf0 @ X1 @ szNzAzT0 )
| ( ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ X1 ) )
!= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ X0 ) ) )
| ~ ( sdtlseqdt0 @ ( szszuzczcdt0 @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl232,plain,
( ( ~ ( aElementOf0 @ xi @ szNzAzT0 )
| ~ ( aElementOf0 @ xj @ szNzAzT0 )
| ( ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xj ) )
!= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) )
<= ( sdtlseqdt0 @ ( szszuzczcdt0 @ xi ) @ xj ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl176,zip_derived_cl172]) ).
thf(m__3856,axiom,
( ( aElementOf0 @ xj @ szNzAzT0 )
& ( aElementOf0 @ xi @ szNzAzT0 ) ) ).
thf(zip_derived_cl169,plain,
aElementOf0 @ xi @ szNzAzT0,
inference(cnf,[status(esa)],[m__3856]) ).
thf(zip_derived_cl168,plain,
aElementOf0 @ xj @ szNzAzT0,
inference(cnf,[status(esa)],[m__3856]) ).
thf(zip_derived_cl173,plain,
( ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) )
= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xj ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl236,plain,
( ( ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) )
!= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) )
<= ( sdtlseqdt0 @ ( szszuzczcdt0 @ xi ) @ xj ) ),
inference(demod,[status(thm)],[zip_derived_cl232,zip_derived_cl169,zip_derived_cl168,zip_derived_cl173]) ).
thf(zip_derived_cl237,plain,
( $false
<= ( sdtlseqdt0 @ ( szszuzczcdt0 @ xi ) @ xj ) ),
inference(simplify,[status(thm)],[zip_derived_cl236]) ).
thf(zip_derived_cl177,plain,
( ( xi = xj )
<= ( xi = xj ) ),
inference(split,[status(esa)],[zip_derived_cl170]) ).
thf(zip_derived_cl174,plain,
xi != xj,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl180,plain,
( ( xi != xi )
<= ( xi = xj ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl177,zip_derived_cl174]) ).
thf('0',plain,
xi != xj,
inference(simplify,[status(thm)],[zip_derived_cl180]) ).
thf(zip_derived_cl175,plain,
( ( sdtlseqdt0 @ ( szszuzczcdt0 @ xj ) @ xi )
<= ( sdtlseqdt0 @ ( szszuzczcdt0 @ xj ) @ xi ) ),
inference(split,[status(esa)],[zip_derived_cl170]) ).
thf(zip_derived_cl172_001,plain,
! [X0: $i,X1: $i] :
( ~ ( aElementOf0 @ X0 @ szNzAzT0 )
| ~ ( aElementOf0 @ X1 @ szNzAzT0 )
| ( ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ X1 ) )
!= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ X0 ) ) )
| ~ ( sdtlseqdt0 @ ( szszuzczcdt0 @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl231,plain,
( ( ~ ( aElementOf0 @ xj @ szNzAzT0 )
| ~ ( aElementOf0 @ xi @ szNzAzT0 )
| ( ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) )
!= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xj ) ) ) )
<= ( sdtlseqdt0 @ ( szszuzczcdt0 @ xj ) @ xi ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl175,zip_derived_cl172]) ).
thf(zip_derived_cl168_002,plain,
aElementOf0 @ xj @ szNzAzT0,
inference(cnf,[status(esa)],[m__3856]) ).
thf(zip_derived_cl169_003,plain,
aElementOf0 @ xi @ szNzAzT0,
inference(cnf,[status(esa)],[m__3856]) ).
thf(zip_derived_cl173_004,plain,
( ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) )
= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xj ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl234,plain,
( ( ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) )
!= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) )
<= ( sdtlseqdt0 @ ( szszuzczcdt0 @ xj ) @ xi ) ),
inference(demod,[status(thm)],[zip_derived_cl231,zip_derived_cl168,zip_derived_cl169,zip_derived_cl173]) ).
thf('1',plain,
~ ( sdtlseqdt0 @ ( szszuzczcdt0 @ xj ) @ xi ),
inference(simplify,[status(thm)],[zip_derived_cl234]) ).
thf('2',plain,
( ( sdtlseqdt0 @ ( szszuzczcdt0 @ xi ) @ xj )
| ( sdtlseqdt0 @ ( szszuzczcdt0 @ xj ) @ xi )
| ( xi = xj ) ),
inference(split,[status(esa)],[zip_derived_cl170]) ).
thf('3',plain,
sdtlseqdt0 @ ( szszuzczcdt0 @ xi ) @ xj,
inference('sat_resolution*',[status(thm)],['0','1','2']) ).
thf(zip_derived_cl239,plain,
$false,
inference(simpl_trail,[status(thm)],[zip_derived_cl237,'3']) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : NUM578+1 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.nDHqwBGzV3 true
% 0.13/0.35 % Computer : n020.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri Aug 25 12:04:15 EDT 2023
% 0.13/0.36 % CPUTime :
% 0.13/0.36 % Running portfolio for 300 s
% 0.13/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.36 % Number of cores: 8
% 0.21/0.36 % Python version: Python 3.6.8
% 0.21/0.36 % Running in FO mode
% 0.22/0.69 % Total configuration time : 435
% 0.22/0.69 % Estimated wc time : 1092
% 0.22/0.69 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.59/0.84 % Solved by fo/fo1_av.sh.
% 0.59/0.84 % done 74 iterations in 0.038s
% 0.59/0.84 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.59/0.84 % SZS output start Refutation
% See solution above
% 0.59/0.84
% 0.59/0.84
% 0.59/0.84 % Terminating...
% 0.60/0.89 % Runner terminated.
% 0.60/0.90 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------