TSTP Solution File: SWV046+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWV046+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.aNcvEv6m2L true
% Computer : n002.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 : Fri Sep 1 00:07:25 EDT 2023
% Result : Theorem 1.33s 0.84s
% Output : Refutation 1.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 32
% Syntax : Number of formulae : 62 ( 23 unt; 26 typ; 0 def)
% Number of atoms : 76 ( 43 equ; 0 cnn)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 588 ( 35 ~; 14 |; 14 &; 513 @)
% ( 0 <=>; 6 =>; 6 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 21 ( 21 >; 0 *; 0 +; 0 <<)
% Number of symbols : 28 ( 26 usr; 17 con; 0-3 aty)
% Number of variables : 6 ( 0 ^; 6 !; 0 ?; 6 :)
% Comments :
%------------------------------------------------------------------------------
thf(pv44_type,type,
pv44: $i ).
thf(pred_type,type,
pred: $i > $i ).
thf(n135300_type,type,
n135300: $i ).
thf(tptp_minus_1_type,type,
tptp_minus_1: $i ).
thf(mu_type,type,
mu: $i ).
thf(a_select3_type,type,
a_select3: $i > $i > $i > $i ).
thf(minus_type,type,
minus: $i > $i > $i ).
thf(pv81_type,type,
pv81: $i ).
thf(pv35_type,type,
pv35: $i ).
thf(sum_type,type,
sum: $i > $i > $i > $i ).
thf(n1_type,type,
n1: $i ).
thf(leq_type,type,
leq: $i > $i > $o ).
thf(q_type,type,
q: $i ).
thf(n5_type,type,
n5: $i ).
thf(tptp_update2_type,type,
tptp_update2: $i > $i > $i > $i ).
thf(n0_type,type,
n0: $i ).
thf(a_select2_type,type,
a_select2: $i > $i > $i ).
thf(pv78_type,type,
pv78: $i ).
thf(pv80_type,type,
pv80: $i ).
thf(divide_type,type,
divide: $i > $i > $i ).
thf(succ_type,type,
succ: $i > $i ).
thf(pv79_type,type,
pv79: $i ).
thf(pv83_type,type,
pv83: $i ).
thf(times_type,type,
times: $i > $i > $i ).
thf(x_type,type,
x: $i ).
thf(true_type,type,
true: $o ).
thf(cl5_nebula_norm_0010,conjecture,
( ( ( pv78
= ( sum @ n0 @ ( minus @ n135300 @ n1 ) @ ( a_select3 @ q @ pv79 @ pv35 ) ) )
& ( pv80
= ( sum @ n0 @ ( minus @ n135300 @ n1 ) @ ( times @ ( a_select3 @ q @ pv81 @ pv35 ) @ ( a_select2 @ x @ pv81 ) ) ) )
& ( leq @ n0 @ pv35 )
& ( leq @ pv35 @ ( minus @ n5 @ n1 ) ) )
=> ( ( ( n0 != pv44 )
=> ( ( n0
= ( sum @ n0 @ ( minus @ n0 @ n1 ) @ ( times @ ( minus @ ( a_select2 @ x @ pv83 ) @ ( a_select2 @ ( tptp_update2 @ mu @ pv35 @ ( divide @ pv80 @ pv44 ) ) @ pv35 ) ) @ ( times @ ( minus @ ( a_select2 @ x @ pv83 ) @ ( a_select2 @ ( tptp_update2 @ mu @ pv35 @ ( divide @ pv80 @ pv44 ) ) @ pv35 ) ) @ ( a_select3 @ q @ pv83 @ pv35 ) ) ) ) )
& ( pv78
= ( sum @ n0 @ ( minus @ n135300 @ n1 ) @ ( a_select3 @ q @ pv79 @ pv35 ) ) )
& ( leq @ n0 @ pv35 )
& ( leq @ pv35 @ ( minus @ n5 @ n1 ) ) ) )
& ( ( n0 = pv44 )
=> true ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ( ( pv78
= ( sum @ n0 @ ( minus @ n135300 @ n1 ) @ ( a_select3 @ q @ pv79 @ pv35 ) ) )
& ( pv80
= ( sum @ n0 @ ( minus @ n135300 @ n1 ) @ ( times @ ( a_select3 @ q @ pv81 @ pv35 ) @ ( a_select2 @ x @ pv81 ) ) ) )
& ( leq @ n0 @ pv35 )
& ( leq @ pv35 @ ( minus @ n5 @ n1 ) ) )
=> ( ( ( n0 != pv44 )
=> ( ( n0
= ( sum @ n0 @ ( minus @ n0 @ n1 ) @ ( times @ ( minus @ ( a_select2 @ x @ pv83 ) @ ( a_select2 @ ( tptp_update2 @ mu @ pv35 @ ( divide @ pv80 @ pv44 ) ) @ pv35 ) ) @ ( times @ ( minus @ ( a_select2 @ x @ pv83 ) @ ( a_select2 @ ( tptp_update2 @ mu @ pv35 @ ( divide @ pv80 @ pv44 ) ) @ pv35 ) ) @ ( a_select3 @ q @ pv83 @ pv35 ) ) ) ) )
& ( pv78
= ( sum @ n0 @ ( minus @ n135300 @ n1 ) @ ( a_select3 @ q @ pv79 @ pv35 ) ) )
& ( leq @ n0 @ pv35 )
& ( leq @ pv35 @ ( minus @ n5 @ n1 ) ) ) )
& ( ( n0 = pv44 )
=> true ) ) ),
inference('cnf.neg',[status(esa)],[cl5_nebula_norm_0010]) ).
thf(zip_derived_cl123,plain,
( ~ ( leq @ pv35 @ ( minus @ n5 @ n1 ) )
| ~ ( leq @ n0 @ pv35 )
| ( pv78
!= ( sum @ n0 @ ( minus @ n135300 @ n1 ) @ ( a_select3 @ q @ pv79 @ pv35 ) ) )
| ( n0
!= ( sum @ n0 @ ( minus @ n0 @ n1 ) @ ( times @ ( minus @ ( a_select2 @ x @ pv83 ) @ ( a_select2 @ ( tptp_update2 @ mu @ pv35 @ ( divide @ pv80 @ pv44 ) ) @ pv35 ) ) @ ( times @ ( minus @ ( a_select2 @ x @ pv83 ) @ ( a_select2 @ ( tptp_update2 @ mu @ pv35 @ ( divide @ pv80 @ pv44 ) ) @ pv35 ) ) @ ( a_select3 @ q @ pv83 @ pv35 ) ) ) ) )
| ~ true ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl170,plain,
( ( n0
!= ( sum @ n0 @ ( minus @ n0 @ n1 ) @ ( times @ ( minus @ ( a_select2 @ x @ pv83 ) @ ( a_select2 @ ( tptp_update2 @ mu @ pv35 @ ( divide @ pv80 @ pv44 ) ) @ pv35 ) ) @ ( times @ ( minus @ ( a_select2 @ x @ pv83 ) @ ( a_select2 @ ( tptp_update2 @ mu @ pv35 @ ( divide @ pv80 @ pv44 ) ) @ pv35 ) ) @ ( a_select3 @ q @ pv83 @ pv35 ) ) ) ) )
<= ( n0
!= ( sum @ n0 @ ( minus @ n0 @ n1 ) @ ( times @ ( minus @ ( a_select2 @ x @ pv83 ) @ ( a_select2 @ ( tptp_update2 @ mu @ pv35 @ ( divide @ pv80 @ pv44 ) ) @ pv35 ) ) @ ( times @ ( minus @ ( a_select2 @ x @ pv83 ) @ ( a_select2 @ ( tptp_update2 @ mu @ pv35 @ ( divide @ pv80 @ pv44 ) ) @ pv35 ) ) @ ( a_select3 @ q @ pv83 @ pv35 ) ) ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl123]) ).
thf(zip_derived_cl121,plain,
leq @ n0 @ pv35,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl167,plain,
( ~ ( leq @ n0 @ pv35 )
<= ~ ( leq @ n0 @ pv35 ) ),
inference(split,[status(esa)],[zip_derived_cl123]) ).
thf('0',plain,
leq @ n0 @ pv35,
inference('s_sup-',[status(thm)],[zip_derived_cl121,zip_derived_cl167]) ).
thf(zip_derived_cl119,plain,
( pv78
= ( sum @ n0 @ ( minus @ n135300 @ n1 ) @ ( a_select3 @ q @ pv79 @ pv35 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl168,plain,
( ( pv78
!= ( sum @ n0 @ ( minus @ n135300 @ n1 ) @ ( a_select3 @ q @ pv79 @ pv35 ) ) )
<= ( pv78
!= ( sum @ n0 @ ( minus @ n135300 @ n1 ) @ ( a_select3 @ q @ pv79 @ pv35 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl123]) ).
thf(zip_derived_cl194,plain,
( ( pv78 != pv78 )
<= ( pv78
!= ( sum @ n0 @ ( minus @ n135300 @ n1 ) @ ( a_select3 @ q @ pv79 @ pv35 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl119,zip_derived_cl168]) ).
thf('1',plain,
( pv78
= ( sum @ n0 @ ( minus @ n135300 @ n1 ) @ ( a_select3 @ q @ pv79 @ pv35 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl194]) ).
thf(ttrue,axiom,
true ).
thf(zip_derived_cl117,plain,
true,
inference(cnf,[status(esa)],[ttrue]) ).
thf(zip_derived_cl169,plain,
( ~ true
<= ~ true ),
inference(split,[status(esa)],[zip_derived_cl123]) ).
thf('2',plain,
true,
inference('s_sup-',[status(thm)],[zip_derived_cl117,zip_derived_cl169]) ).
thf(zip_derived_cl125,plain,
( ( n0 != pv44 )
| ~ true ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('3',plain,
( ( n0 != pv44 )
| ~ true ),
inference(split,[status(esa)],[zip_derived_cl125]) ).
thf(zip_derived_cl122,plain,
leq @ pv35 @ ( minus @ n5 @ n1 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl166,plain,
( ~ ( leq @ pv35 @ ( minus @ n5 @ n1 ) )
<= ~ ( leq @ pv35 @ ( minus @ n5 @ n1 ) ) ),
inference(split,[status(esa)],[zip_derived_cl123]) ).
thf('4',plain,
leq @ pv35 @ ( minus @ n5 @ n1 ),
inference('s_sup-',[status(thm)],[zip_derived_cl122,zip_derived_cl166]) ).
thf(zip_derived_cl124,plain,
( ~ ( leq @ pv35 @ ( minus @ n5 @ n1 ) )
| ~ ( leq @ n0 @ pv35 )
| ( pv78
!= ( sum @ n0 @ ( minus @ n135300 @ n1 ) @ ( a_select3 @ q @ pv79 @ pv35 ) ) )
| ( n0
!= ( sum @ n0 @ ( minus @ n0 @ n1 ) @ ( times @ ( minus @ ( a_select2 @ x @ pv83 ) @ ( a_select2 @ ( tptp_update2 @ mu @ pv35 @ ( divide @ pv80 @ pv44 ) ) @ pv35 ) ) @ ( times @ ( minus @ ( a_select2 @ x @ pv83 ) @ ( a_select2 @ ( tptp_update2 @ mu @ pv35 @ ( divide @ pv80 @ pv44 ) ) @ pv35 ) ) @ ( a_select3 @ q @ pv83 @ pv35 ) ) ) ) )
| ( n0 = pv44 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('5',plain,
( ( n0
!= ( sum @ n0 @ ( minus @ n0 @ n1 ) @ ( times @ ( minus @ ( a_select2 @ x @ pv83 ) @ ( a_select2 @ ( tptp_update2 @ mu @ pv35 @ ( divide @ pv80 @ pv44 ) ) @ pv35 ) ) @ ( times @ ( minus @ ( a_select2 @ x @ pv83 ) @ ( a_select2 @ ( tptp_update2 @ mu @ pv35 @ ( divide @ pv80 @ pv44 ) ) @ pv35 ) ) @ ( a_select3 @ q @ pv83 @ pv35 ) ) ) ) )
| ~ ( leq @ pv35 @ ( minus @ n5 @ n1 ) )
| ( n0 = pv44 )
| ( pv78
!= ( sum @ n0 @ ( minus @ n135300 @ n1 ) @ ( a_select3 @ q @ pv79 @ pv35 ) ) )
| ~ ( leq @ n0 @ pv35 ) ),
inference(split,[status(esa)],[zip_derived_cl124]) ).
thf('6',plain,
( n0
!= ( sum @ n0 @ ( minus @ n0 @ n1 ) @ ( times @ ( minus @ ( a_select2 @ x @ pv83 ) @ ( a_select2 @ ( tptp_update2 @ mu @ pv35 @ ( divide @ pv80 @ pv44 ) ) @ pv35 ) ) @ ( times @ ( minus @ ( a_select2 @ x @ pv83 ) @ ( a_select2 @ ( tptp_update2 @ mu @ pv35 @ ( divide @ pv80 @ pv44 ) ) @ pv35 ) ) @ ( a_select3 @ q @ pv83 @ pv35 ) ) ) ) ),
inference('sat_resolution*',[status(thm)],['0','1','2','3','4','5']) ).
thf(zip_derived_cl216,plain,
( n0
!= ( sum @ n0 @ ( minus @ n0 @ n1 ) @ ( times @ ( minus @ ( a_select2 @ x @ pv83 ) @ ( a_select2 @ ( tptp_update2 @ mu @ pv35 @ ( divide @ pv80 @ pv44 ) ) @ pv35 ) ) @ ( times @ ( minus @ ( a_select2 @ x @ pv83 ) @ ( a_select2 @ ( tptp_update2 @ mu @ pv35 @ ( divide @ pv80 @ pv44 ) ) @ pv35 ) ) @ ( a_select3 @ q @ pv83 @ pv35 ) ) ) ) ),
inference(simpl_trail,[status(thm)],[zip_derived_cl170,'6']) ).
thf(succ_tptp_minus_1,axiom,
( ( succ @ tptp_minus_1 )
= n0 ) ).
thf(zip_derived_cl87,plain,
( ( succ @ tptp_minus_1 )
= n0 ),
inference(cnf,[status(esa)],[succ_tptp_minus_1]) ).
thf(pred_succ,axiom,
! [X: $i] :
( ( pred @ ( succ @ X ) )
= X ) ).
thf(zip_derived_cl99,plain,
! [X0: $i] :
( ( pred @ ( succ @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[pred_succ]) ).
thf(zip_derived_cl405,plain,
( ( pred @ n0 )
= tptp_minus_1 ),
inference('s_sup+',[status(thm)],[zip_derived_cl87,zip_derived_cl99]) ).
thf(pred_minus_1,axiom,
! [X: $i] :
( ( minus @ X @ n1 )
= ( pred @ X ) ) ).
thf(zip_derived_cl98,plain,
! [X0: $i] :
( ( minus @ X0 @ n1 )
= ( pred @ X0 ) ),
inference(cnf,[status(esa)],[pred_minus_1]) ).
thf(zip_derived_cl409,plain,
( ( minus @ n0 @ n1 )
= tptp_minus_1 ),
inference('s_sup+',[status(thm)],[zip_derived_cl405,zip_derived_cl98]) ).
thf(sum_plus_base,axiom,
! [Body: $i] :
( ( sum @ n0 @ tptp_minus_1 @ Body )
= n0 ) ).
thf(zip_derived_cl85,plain,
! [X0: $i] :
( ( sum @ n0 @ tptp_minus_1 @ X0 )
= n0 ),
inference(cnf,[status(esa)],[sum_plus_base]) ).
thf(zip_derived_cl421,plain,
n0 != n0,
inference(demod,[status(thm)],[zip_derived_cl216,zip_derived_cl409,zip_derived_cl85]) ).
thf(zip_derived_cl422,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl421]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWV046+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.aNcvEv6m2L true
% 0.15/0.35 % Computer : n002.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Aug 29 03:22:50 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % Running portfolio for 300 s
% 0.15/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.36 % Number of cores: 8
% 0.15/0.36 % Python version: Python 3.6.8
% 0.15/0.36 % Running in FO mode
% 0.22/0.64 % Total configuration time : 435
% 0.22/0.64 % Estimated wc time : 1092
% 0.22/0.64 % Estimated cpu time (7 cpus) : 156.0
% 1.07/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 1.07/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.07/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.07/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.07/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.07/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.33/0.84 % Solved by fo/fo1_av.sh.
% 1.33/0.84 % done 157 iterations in 0.073s
% 1.33/0.84 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.33/0.84 % SZS output start Refutation
% See solution above
% 1.33/0.84
% 1.33/0.84
% 1.33/0.84 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.33/0.84 % Terminating...
% 1.33/0.87 % Runner terminated.
% 1.56/0.88 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------