%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYN986+1.003 : TPTP v9.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.hZlPQ90rq1 true
% Computer : n023.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 Oct 2 05:06:08 PM UTC 2025
% Result : Theorem 0.56s 0.75s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 3
% Syntax : Number of formulae : 29 ( 15 unt; 0 typ; 0 def)
% Number of atoms : 55 ( 0 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 329 ( 23 ~; 18 |; 6 &; 280 @)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 9 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 4 ( 3 usr; 2 con; 0-3 aty)
% Number of variables : 56 ( 0 ^; 48 !; 8 ?; 56 :)
% Comments :
%------------------------------------------------------------------------------
thf(succ_type,type,
succ: $i > $i ).
thf(zero_type,type,
zero: $i ).
thf(r_type,type,
r: $i > $i > $i > $o ).
thf(hyp1,axiom,
! [Y: $i] : ( r @ Y @ zero @ ( succ @ Y ) ) ).
thf(zip_derived_cl0,plain,
! [X0: $i] : ( r @ X0 @ zero @ ( succ @ X0 ) ),
inference(cnf,[status(esa)],[hyp1]) ).
thf(hyp2,axiom,
! [Y: $i,X: $i,Z: $i,Z1: $i] :
( ( r @ Y @ X @ Z )
=> ( ( r @ Z @ X @ Z1 )
=> ( r @ Y @ ( succ @ X ) @ Z1 ) ) ) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( r @ X0 @ X1 @ X2 )
| ( r @ X0 @ ( succ @ X1 ) @ X3 )
| ~ ( r @ X2 @ X1 @ X3 ) ),
inference(cnf,[status(esa)],[hyp2]) ).
thf(zip_derived_cl10,plain,
! [X0: $i,X1: $i] :
( ~ ( r @ ( succ @ X0 ) @ zero @ X1 )
| ( r @ X0 @ ( succ @ zero ) @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl1]) ).
thf(zip_derived_cl0_001,plain,
! [X0: $i] : ( r @ X0 @ zero @ ( succ @ X0 ) ),
inference(cnf,[status(esa)],[hyp1]) ).
thf(zip_derived_cl11,plain,
! [X0: $i] : ( r @ X0 @ ( succ @ zero ) @ ( succ @ ( succ @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl10,zip_derived_cl0]) ).
thf(zip_derived_cl11_002,plain,
! [X0: $i] : ( r @ X0 @ ( succ @ zero ) @ ( succ @ ( succ @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl10,zip_derived_cl0]) ).
thf(zip_derived_cl1_003,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( r @ X0 @ X1 @ X2 )
| ( r @ X0 @ ( succ @ X1 ) @ X3 )
| ~ ( r @ X2 @ X1 @ X3 ) ),
inference(cnf,[status(esa)],[hyp2]) ).
thf(zip_derived_cl18,plain,
! [X0: $i,X1: $i] :
( ~ ( r @ ( succ @ ( succ @ X0 ) ) @ ( succ @ zero ) @ X1 )
| ( r @ X0 @ ( succ @ ( succ @ zero ) ) @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl1]) ).
thf(zip_derived_cl11_004,plain,
! [X0: $i] : ( r @ X0 @ ( succ @ zero ) @ ( succ @ ( succ @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl10,zip_derived_cl0]) ).
thf(zip_derived_cl21,plain,
! [X0: $i] : ( r @ X0 @ ( succ @ ( succ @ zero ) ) @ ( succ @ ( succ @ ( succ @ ( succ @ X0 ) ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl18,zip_derived_cl11]) ).
thf(zip_derived_cl1_005,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( r @ X0 @ X1 @ X2 )
| ( r @ X0 @ ( succ @ X1 ) @ X3 )
| ~ ( r @ X2 @ X1 @ X3 ) ),
inference(cnf,[status(esa)],[hyp2]) ).
thf(zip_derived_cl23,plain,
! [X0: $i,X1: $i] :
( ~ ( r @ ( succ @ ( succ @ ( succ @ ( succ @ X0 ) ) ) ) @ ( succ @ ( succ @ zero ) ) @ X1 )
| ( r @ X0 @ ( succ @ ( succ @ ( succ @ zero ) ) ) @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl21,zip_derived_cl1]) ).
thf(zip_derived_cl21_006,plain,
! [X0: $i] : ( r @ X0 @ ( succ @ ( succ @ zero ) ) @ ( succ @ ( succ @ ( succ @ ( succ @ X0 ) ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl18,zip_derived_cl11]) ).
thf(zip_derived_cl28,plain,
! [X0: $i] : ( r @ X0 @ ( succ @ ( succ @ ( succ @ zero ) ) ) @ ( succ @ ( succ @ ( succ @ ( succ @ ( succ @ ( succ @ ( succ @ ( succ @ X0 ) ) ) ) ) ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl23,zip_derived_cl21]) ).
thf(zip_derived_cl1_007,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( r @ X0 @ X1 @ X2 )
| ( r @ X0 @ ( succ @ X1 ) @ X3 )
| ~ ( r @ X2 @ X1 @ X3 ) ),
inference(cnf,[status(esa)],[hyp2]) ).
thf(zip_derived_cl30,plain,
! [X0: $i,X1: $i] :
( ~ ( r @ ( succ @ ( succ @ ( succ @ ( succ @ ( succ @ ( succ @ ( succ @ ( succ @ X0 ) ) ) ) ) ) ) ) @ ( succ @ ( succ @ ( succ @ zero ) ) ) @ X1 )
| ( r @ X0 @ ( succ @ ( succ @ ( succ @ ( succ @ zero ) ) ) ) @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl28,zip_derived_cl1]) ).
thf(zip_derived_cl28_008,plain,
! [X0: $i] : ( r @ X0 @ ( succ @ ( succ @ ( succ @ zero ) ) ) @ ( succ @ ( succ @ ( succ @ ( succ @ ( succ @ ( succ @ ( succ @ ( succ @ X0 ) ) ) ) ) ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl23,zip_derived_cl21]) ).
thf(zip_derived_cl33,plain,
! [X0: $i] : ( r @ X0 @ ( succ @ ( succ @ ( succ @ ( succ @ zero ) ) ) ) @ ( succ @ ( succ @ ( succ @ ( succ @ ( succ @ ( succ @ ( succ @ ( succ @ ( succ @ ( succ @ ( succ @ ( succ @ ( succ @ ( succ @ ( succ @ ( succ @ X0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl30,zip_derived_cl28]) ).
thf(zip_derived_cl21_009,plain,
! [X0: $i] : ( r @ X0 @ ( succ @ ( succ @ zero ) ) @ ( succ @ ( succ @ ( succ @ ( succ @ X0 ) ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl18,zip_derived_cl11]) ).
thf(ck,conjecture,
? [Z3: $i,Z2: $i,Z1: $i,Z0: $i] :
( ( r @ zero @ Z1 @ Z0 )
& ( r @ zero @ Z2 @ Z1 )
& ( r @ zero @ Z3 @ Z2 )
& ( r @ zero @ zero @ Z3 ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ? [Z3: $i,Z2: $i,Z1: $i,Z0: $i] :
( ( r @ zero @ Z1 @ Z0 )
& ( r @ zero @ Z2 @ Z1 )
& ( r @ zero @ Z3 @ Z2 )
& ( r @ zero @ zero @ Z3 ) ),
inference('cnf.neg',[status(esa)],[ck]) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( r @ zero @ X0 @ X1 )
| ~ ( r @ zero @ X2 @ X0 )
| ~ ( r @ zero @ zero @ X2 )
| ~ ( r @ zero @ X1 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl24,plain,
! [X0: $i,X1: $i] :
( ~ ( r @ zero @ ( succ @ ( succ @ ( succ @ ( succ @ zero ) ) ) ) @ X0 )
| ~ ( r @ zero @ zero @ X1 )
| ~ ( r @ zero @ X1 @ ( succ @ ( succ @ zero ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl21,zip_derived_cl2]) ).
thf(zip_derived_cl37,plain,
! [X0: $i] :
( ~ ( r @ zero @ X0 @ ( succ @ ( succ @ zero ) ) )
| ~ ( r @ zero @ zero @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl33,zip_derived_cl24]) ).
thf(zip_derived_cl38,plain,
~ ( r @ zero @ zero @ ( succ @ zero ) ),
inference('sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl37]) ).
thf(zip_derived_cl0_010,plain,
! [X0: $i] : ( r @ X0 @ zero @ ( succ @ X0 ) ),
inference(cnf,[status(esa)],[hyp1]) ).
thf(zip_derived_cl39,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl38,zip_derived_cl0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SYN986+1.003 : TPTP v9.2.0. Released v4.0.0.
% 0.03/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.hZlPQ90rq1 true
% 0.14/0.35 % Computer : n023.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Oct 1 13:26:53 EDT 2025
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.46/0.62 % Total configuration time : 435
% 0.46/0.62 % Estimated wc time : 1092
% 0.46/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.54/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.56/0.75 % Solved by fo/fo3_bce.sh.
% 0.56/0.75 % BCE start: 3
% 0.56/0.75 % BCE eliminated: 0
% 0.56/0.75 % PE start: 3
% 0.56/0.75 logic: neq
% 0.56/0.75 % PE eliminated: 0
% 0.56/0.75 % done 30 iterations in 0.019s
% 0.56/0.75 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.56/0.75 % SZS output start Refutation
% See solution above
% 0.56/0.75
% 0.56/0.75
% 0.56/0.75 % Terminating...
% 0.62/0.84 % Runner terminated.
% 1.76/0.85 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------