%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWX204+1 : TPTP v9.3.0. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.8HXLobyT3L 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 : Tue May 5 07:08:49 PM UTC 2026
% Result : Theorem 0.56s 0.76s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 7
% Syntax : Number of formulae : 33 ( 33 unt; 0 typ; 0 def)
% Number of atoms : 33 ( 32 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 153 ( 5 ~; 0 |; 0 &; 148 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 34 ( 0 ^; 32 !; 2 ?; 34 :)
% Comments :
%------------------------------------------------------------------------------
thf(proj1S_type,type,
proj1S: $i > $i ).
thf(z_type,type,
z: $i ).
thf(s_type,type,
s: $i > $i ).
thf(x22_type,type,
x22: $i > $i > $i ).
thf(x2_type,type,
x2: $i > $i > $i ).
thf(axiom_003,axiom,
! [Y: $i] :
( ( x2 @ z @ Y )
= Y ) ).
thf(zip_derived_cl2,plain,
! [X0: $i] :
( ( x2 @ z @ X0 )
= X0 ),
inference(cnf,[status(esa)],[axiom_003]) ).
thf(axiom_006,axiom,
! [Y: $i,N: $i] :
( ( x22 @ ( s @ N ) @ Y )
= ( x2 @ Y @ ( x22 @ N @ Y ) ) ) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i] :
( ( x22 @ ( s @ X1 ) @ X0 )
= ( x2 @ X0 @ ( x22 @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[axiom_006]) ).
thf(goal_007,conjecture,
? [X: $i] :
( ( x22 @ X @ X )
!= X ) ).
thf(zf_stmt_0,negated_conjecture,
~ ? [X: $i] :
( ( x22 @ X @ X )
!= X ),
inference('cnf.neg',[status(esa)],[goal_007]) ).
thf(zip_derived_cl6,plain,
! [X0: $i] :
( ( x22 @ X0 @ X0 )
= X0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5_001,plain,
! [X0: $i,X1: $i] :
( ( x22 @ ( s @ X1 ) @ X0 )
= ( x2 @ X0 @ ( x22 @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[axiom_006]) ).
thf(zip_derived_cl7,plain,
! [X0: $i] :
( ( s @ X0 )
= ( x2 @ ( s @ X0 ) @ ( x22 @ X0 @ ( s @ X0 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl6,zip_derived_cl5]) ).
thf(zip_derived_cl9,plain,
! [X0: $i] :
( ( s @ ( s @ X0 ) )
= ( x2 @ ( s @ ( s @ X0 ) ) @ ( x2 @ ( s @ ( s @ X0 ) ) @ ( x22 @ X0 @ ( s @ ( s @ X0 ) ) ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl5,zip_derived_cl7]) ).
thf(axiom_004,axiom,
! [Y: $i,N: $i] :
( ( x2 @ ( s @ N ) @ Y )
= ( s @ ( x2 @ N @ Y ) ) ) ).
thf(zip_derived_cl3,plain,
! [X0: $i,X1: $i] :
( ( x2 @ ( s @ X0 ) @ X1 )
= ( s @ ( x2 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[axiom_004]) ).
thf(zip_derived_cl3_002,plain,
! [X0: $i,X1: $i] :
( ( x2 @ ( s @ X0 ) @ X1 )
= ( s @ ( x2 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[axiom_004]) ).
thf(zip_derived_cl3_003,plain,
! [X0: $i,X1: $i] :
( ( x2 @ ( s @ X0 ) @ X1 )
= ( s @ ( x2 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[axiom_004]) ).
thf(zip_derived_cl3_004,plain,
! [X0: $i,X1: $i] :
( ( x2 @ ( s @ X0 ) @ X1 )
= ( s @ ( x2 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[axiom_004]) ).
thf(zip_derived_cl11,plain,
! [X0: $i] :
( ( s @ ( s @ X0 ) )
= ( s @ ( s @ ( x2 @ X0 @ ( s @ ( s @ ( x2 @ X0 @ ( x22 @ X0 @ ( s @ ( s @ X0 ) ) ) ) ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9,zip_derived_cl3,zip_derived_cl3,zip_derived_cl3,zip_derived_cl3]) ).
thf(zip_derived_cl55,plain,
( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( x2 @ z @ ( x22 @ z @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl11]) ).
thf(axiom_005,axiom,
! [Y: $i] :
( ( x22 @ z @ Y )
= z ) ).
thf(zip_derived_cl4,plain,
! [X0: $i] :
( ( x22 @ z @ X0 )
= z ),
inference(cnf,[status(esa)],[axiom_005]) ).
thf(zip_derived_cl2_005,plain,
! [X0: $i] :
( ( x2 @ z @ X0 )
= X0 ),
inference(cnf,[status(esa)],[axiom_003]) ).
thf(zip_derived_cl63,plain,
( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl55,zip_derived_cl4,zip_derived_cl2]) ).
thf(axiom_001,axiom,
! [X: $i] :
( ( proj1S @ ( s @ X ) )
= X ) ).
thf(zip_derived_cl0,plain,
! [X0: $i] :
( ( proj1S @ ( s @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[axiom_001]) ).
thf(zip_derived_cl78,plain,
( ( proj1S @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ z ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl63,zip_derived_cl0]) ).
thf(zip_derived_cl0_006,plain,
! [X0: $i] :
( ( proj1S @ ( s @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[axiom_001]) ).
thf(zip_derived_cl87,plain,
( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl78,zip_derived_cl0]) ).
thf(zip_derived_cl0_007,plain,
! [X0: $i] :
( ( proj1S @ ( s @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[axiom_001]) ).
thf(zip_derived_cl95,plain,
( ( proj1S @ ( s @ z ) )
= ( s @ ( s @ z ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl87,zip_derived_cl0]) ).
thf(zip_derived_cl0_008,plain,
! [X0: $i] :
( ( proj1S @ ( s @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[axiom_001]) ).
thf(zip_derived_cl104,plain,
( z
= ( s @ ( s @ z ) ) ),
inference(demod,[status(thm)],[zip_derived_cl95,zip_derived_cl0]) ).
thf(axiom_002,axiom,
! [X: $i] :
( z
!= ( s @ X ) ) ).
thf(zip_derived_cl1,plain,
! [X0: $i] :
( z
!= ( s @ X0 ) ),
inference(cnf,[status(esa)],[axiom_002]) ).
thf(zip_derived_cl105,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl104,zip_derived_cl1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWX204+1 : TPTP v9.3.0. Released v9.3.0.
% 0.13/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.8HXLobyT3L true
% 0.19/0.35 % Computer : n023.cluster.edu
% 0.19/0.35 % Model : x86_64 x86_64
% 0.19/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.35 % Memory : 8042.1875MB
% 0.19/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.19/0.35 % CPULimit : 300
% 0.19/0.35 % WCLimit : 300
% 0.19/0.35 % DateTime : Tue May 5 11:29:53 EDT 2026
% 0.19/0.35 % CPUTime :
% 0.19/0.35 % Running portfolio for 300 s
% 0.19/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.35 % Number of cores: 8
% 0.19/0.35 % Python version: Python 3.6.8
% 0.21/0.35 % Running in FO mode
% 0.55/0.65 % Total configuration time : 435
% 0.55/0.65 % Estimated wc time : 1092
% 0.55/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.76 % Solved by fo/fo3_bce.sh.
% 0.56/0.76 % BCE start: 7
% 0.56/0.76 % BCE eliminated: 0
% 0.56/0.76 % PE start: 7
% 0.56/0.76 logic: eq
% 0.56/0.76 % PE eliminated: 0
% 0.56/0.76 % done 20 iterations in 0.017s
% 0.56/0.76 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.56/0.76 % SZS output start Refutation
% See solution above
% 0.56/0.76
% 0.56/0.76
% 0.56/0.76 % Terminating...
% 0.61/0.87 % Runner terminated.
% 0.61/0.88 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------