TSTP Solution File: ALG041+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ALG041+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.JJ404iiRr6 true
% Computer : n009.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 : Wed Aug 30 17:10:13 EDT 2023
% Result : Theorem 0.54s 0.74s
% Output : Refutation 0.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 12
% Syntax : Number of formulae : 38 ( 4 unt; 8 typ; 0 def)
% Number of atoms : 93 ( 25 equ; 0 cnn)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 281 ( 39 ~; 31 |; 10 &; 179 @)
% ( 0 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 9 ( 9 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 8 usr; 2 con; 0-2 aty)
% Number of variables : 45 ( 0 ^; 43 !; 2 ?; 45 :)
% Comments :
%------------------------------------------------------------------------------
thf(sorti1_type,type,
sorti1: $i > $o ).
thf(sk__1_type,type,
sk__1: $i ).
thf(sorti2_type,type,
sorti2: $i > $o ).
thf(op2_type,type,
op2: $i > $i > $i ).
thf(sk__type,type,
sk_: $i > $i ).
thf(op1_type,type,
op1: $i > $i > $i ).
thf(h_type,type,
h: $i > $i ).
thf(j_type,type,
j: $i > $i ).
thf(ax4,axiom,
? [U: $i] :
( ! [V: $i] :
( ( sorti2 @ V )
=> ( ( op2 @ V @ V )
= U ) )
& ( sorti2 @ U ) ) ).
thf(zip_derived_cl4,plain,
sorti2 @ sk__1,
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl5,plain,
! [X0: $i] :
( ( ( op2 @ X0 @ X0 )
= sk__1 )
| ~ ( sorti2 @ X0 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(co1,conjecture,
( ( ! [U: $i] :
( ( sorti1 @ U )
=> ( sorti2 @ ( h @ U ) ) )
& ! [V: $i] :
( ( sorti2 @ V )
=> ( sorti1 @ ( j @ V ) ) ) )
=> ~ ( ! [W: $i] :
( ( sorti1 @ W )
=> ! [X: $i] :
( ( sorti1 @ X )
=> ( ( h @ ( op1 @ W @ X ) )
= ( op2 @ ( h @ W ) @ ( h @ X ) ) ) ) )
& ! [Y: $i] :
( ( sorti2 @ Y )
=> ! [Z: $i] :
( ( sorti2 @ Z )
=> ( ( j @ ( op2 @ Y @ Z ) )
= ( op1 @ ( j @ Y ) @ ( j @ Z ) ) ) ) )
& ! [X1: $i] :
( ( sorti2 @ X1 )
=> ( ( h @ ( j @ X1 ) )
= X1 ) )
& ! [X2: $i] :
( ( sorti1 @ X2 )
=> ( ( j @ ( h @ X2 ) )
= X2 ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ( ! [U: $i] :
( ( sorti1 @ U )
=> ( sorti2 @ ( h @ U ) ) )
& ! [V: $i] :
( ( sorti2 @ V )
=> ( sorti1 @ ( j @ V ) ) ) )
=> ~ ( ! [W: $i] :
( ( sorti1 @ W )
=> ! [X: $i] :
( ( sorti1 @ X )
=> ( ( h @ ( op1 @ W @ X ) )
= ( op2 @ ( h @ W ) @ ( h @ X ) ) ) ) )
& ! [Y: $i] :
( ( sorti2 @ Y )
=> ! [Z: $i] :
( ( sorti2 @ Z )
=> ( ( j @ ( op2 @ Y @ Z ) )
= ( op1 @ ( j @ Y ) @ ( j @ Z ) ) ) ) )
& ! [X1: $i] :
( ( sorti2 @ X1 )
=> ( ( h @ ( j @ X1 ) )
= X1 ) )
& ! [X2: $i] :
( ( sorti1 @ X2 )
=> ( ( j @ ( h @ X2 ) )
= X2 ) ) ) ),
inference('cnf.neg',[status(esa)],[co1]) ).
thf(zip_derived_cl9,plain,
! [X4: $i,X5: $i] :
( ~ ( sorti2 @ X4 )
| ( ( j @ ( op2 @ X5 @ X4 ) )
= ( op1 @ ( j @ X5 ) @ ( j @ X4 ) ) )
| ~ ( sorti2 @ X5 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl62,plain,
! [X0: $i] :
( ( ( j @ sk__1 )
= ( op1 @ ( j @ X0 ) @ ( j @ X0 ) ) )
| ~ ( sorti2 @ X0 )
| ~ ( sorti2 @ X0 )
| ~ ( sorti2 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl5,zip_derived_cl9]) ).
thf(zip_derived_cl63,plain,
! [X0: $i] :
( ~ ( sorti2 @ X0 )
| ( ( j @ sk__1 )
= ( op1 @ ( j @ X0 ) @ ( j @ X0 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl62]) ).
thf(ax1,axiom,
! [U: $i] :
( ( sorti1 @ U )
=> ! [V: $i] :
( ( sorti1 @ V )
=> ( sorti1 @ ( op1 @ U @ V ) ) ) ) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i] :
( ~ ( sorti1 @ X0 )
| ( sorti1 @ ( op1 @ X1 @ X0 ) )
| ~ ( sorti1 @ X1 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl64,plain,
! [X0: $i] :
( ( sorti1 @ ( j @ sk__1 ) )
| ~ ( sorti2 @ X0 )
| ~ ( sorti1 @ ( j @ X0 ) )
| ~ ( sorti1 @ ( j @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl63,zip_derived_cl0]) ).
thf(zip_derived_cl69,plain,
! [X0: $i] :
( ~ ( sorti1 @ ( j @ X0 ) )
| ~ ( sorti2 @ X0 )
| ( sorti1 @ ( j @ sk__1 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl64]) ).
thf(zip_derived_cl7,plain,
! [X1: $i] :
( ( sorti1 @ ( j @ X1 ) )
| ~ ( sorti2 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl71,plain,
! [X0: $i] :
( ( sorti1 @ ( j @ sk__1 ) )
| ~ ( sorti2 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl69,zip_derived_cl7]) ).
thf(zip_derived_cl74,plain,
sorti1 @ ( j @ sk__1 ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl71]) ).
thf(zip_derived_cl11,plain,
! [X7: $i] :
( ( ( j @ ( h @ X7 ) )
= X7 )
| ~ ( sorti1 @ X7 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl11_001,plain,
! [X7: $i] :
( ( ( j @ ( h @ X7 ) )
= X7 )
| ~ ( sorti1 @ X7 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl63_002,plain,
! [X0: $i] :
( ~ ( sorti2 @ X0 )
| ( ( j @ sk__1 )
= ( op1 @ ( j @ X0 ) @ ( j @ X0 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl62]) ).
thf(zip_derived_cl66,plain,
! [X0: $i] :
( ( ( j @ sk__1 )
= ( op1 @ ( j @ ( h @ X0 ) ) @ X0 ) )
| ~ ( sorti1 @ X0 )
| ~ ( sorti2 @ ( h @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl11,zip_derived_cl63]) ).
thf(zip_derived_cl6,plain,
! [X0: $i] :
( ( sorti2 @ ( h @ X0 ) )
| ~ ( sorti1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl75,plain,
! [X0: $i] :
( ~ ( sorti1 @ X0 )
| ( ( j @ sk__1 )
= ( op1 @ ( j @ ( h @ X0 ) ) @ X0 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl66,zip_derived_cl6]) ).
thf(zip_derived_cl77,plain,
! [X0: $i] :
( ( ( j @ sk__1 )
= ( op1 @ X0 @ X0 ) )
| ~ ( sorti1 @ X0 )
| ~ ( sorti1 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl11,zip_derived_cl75]) ).
thf(zip_derived_cl79,plain,
! [X0: $i] :
( ~ ( sorti1 @ X0 )
| ( ( j @ sk__1 )
= ( op1 @ X0 @ X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl77]) ).
thf(ax3,axiom,
~ ? [U: $i] :
( ! [V: $i] :
( ( sorti1 @ V )
=> ( ( op1 @ V @ V )
= U ) )
& ( sorti1 @ U ) ) ).
thf(zip_derived_cl2,plain,
! [X0: $i] :
( ( ( op1 @ ( sk_ @ X0 ) @ ( sk_ @ X0 ) )
!= X0 )
| ~ ( sorti1 @ X0 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl89,plain,
! [X0: $i] :
( ( ( j @ sk__1 )
!= X0 )
| ~ ( sorti1 @ ( sk_ @ X0 ) )
| ~ ( sorti1 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl79,zip_derived_cl2]) ).
thf(zip_derived_cl3,plain,
! [X0: $i] :
( ( sorti1 @ ( sk_ @ X0 ) )
| ~ ( sorti1 @ X0 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl92,plain,
! [X0: $i] :
( ~ ( sorti1 @ X0 )
| ( ( j @ sk__1 )
!= X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl89,zip_derived_cl3]) ).
thf(zip_derived_cl95,plain,
( ( j @ sk__1 )
!= ( j @ sk__1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl74,zip_derived_cl92]) ).
thf(zip_derived_cl97,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl95]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ALG041+1 : TPTP v8.1.2. Released v2.7.0.
% 0.03/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.JJ404iiRr6 true
% 0.12/0.34 % Computer : n009.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 28 04:50:20 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Running portfolio for 300 s
% 0.12/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34 % Number of cores: 8
% 0.12/0.35 % Python version: Python 3.6.8
% 0.12/0.35 % Running in FO mode
% 0.53/0.65 % Total configuration time : 435
% 0.53/0.65 % Estimated wc time : 1092
% 0.53/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.68 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.71 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.71 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.74 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.54/0.74 % Solved by fo/fo3_bce.sh.
% 0.54/0.74 % BCE start: 12
% 0.54/0.74 % BCE eliminated: 0
% 0.54/0.74 % PE start: 12
% 0.54/0.74 logic: eq
% 0.54/0.74 % PE eliminated: 0
% 0.54/0.74 % done 19 iterations in 0.013s
% 0.54/0.74 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.54/0.74 % SZS output start Refutation
% See solution above
% 0.54/0.74
% 0.54/0.74
% 0.54/0.74 % Terminating...
% 1.70/0.85 % Runner terminated.
% 1.70/0.86 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------