%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWX222+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.uYzTZzcOJO true
% Computer : n011.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 07:08:52 PM UTC 2026
% Result : Theorem 0.55s 0.72s
% Output : Refutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of formulae : 24 ( 7 unt; 0 typ; 0 def)
% Number of atoms : 43 ( 10 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 194 ( 22 ~; 13 |; 2 &; 153 @)
% ( 3 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 12 usr; 5 con; 0-3 aty)
% Number of variables : 41 ( 0 ^; 39 !; 2 ?; 41 :)
% Comments :
%------------------------------------------------------------------------------
thf(nil_type,type,
nil: $i ).
thf(tc_type,type,
tc: $i > $i > $i > $o ).
thf(a_type,type,
a: $i ).
thf(just_type,type,
just: $i > $i ).
thf(var_type,type,
var: $i > $i ).
thf(lam_type,type,
lam: $i > $i ).
thf(b_type,type,
b: $i ).
thf(nf_type,type,
nf: $i > $o ).
thf(cons_type,type,
cons: $i > $i > $i ).
thf(zero_type,type,
zero: $i ).
thf(arr_type,type,
arr: $i > $i > $i ).
thf(index_type,type,
index: $i > $i > $i ).
thf(axiom_029,axiom,
! [Z: $i,Xs: $i] :
( ( index @ ( cons @ Z @ Xs ) @ zero )
= ( just @ Z ) ) ).
thf(zip_derived_cl31,plain,
! [X0: $i,X1: $i] :
( ( index @ ( cons @ X0 @ X1 ) @ zero )
= ( just @ X0 ) ),
inference(cnf,[status(esa)],[axiom_029]) ).
thf(axiom_035,axiom,
! [X: $i,Z: $i,X3: $i,Tx3: $i] :
( ( ( index @ X @ X3 )
= ( just @ Tx3 ) )
=> ( ( tc @ X @ ( var @ X3 ) @ Z )
<=> ( Tx3 = Z ) ) ) ).
thf(zip_derived_cl40,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 != X0 )
| ( tc @ X2 @ ( var @ X3 ) @ X0 )
| ( ( index @ X2 @ X3 )
!= ( just @ X1 ) ) ),
inference(cnf,[status(esa)],[axiom_035]) ).
thf(zip_derived_cl112,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( index @ X1 @ X0 )
!= ( just @ X2 ) )
| ( tc @ X1 @ ( var @ X0 ) @ X2 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl40]) ).
thf(axiom_026,axiom,
! [E: $i] :
( ( nf @ ( lam @ E ) )
<=> ( nf @ E ) ) ).
thf(zip_derived_cl28,plain,
! [X0: $i] :
( ( nf @ ( lam @ X0 ) )
| ~ ( nf @ X0 ) ),
inference(cnf,[status(esa)],[axiom_026]) ).
thf(axiom_033,axiom,
! [X: $i,E: $i,Tx2: $i,T1: $i] :
( ( tc @ X @ ( lam @ E ) @ ( arr @ Tx2 @ T1 ) )
<=> ( tc @ ( cons @ Tx2 @ X ) @ E @ T1 ) ) ).
thf(zip_derived_cl38,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( tc @ X0 @ ( lam @ X1 ) @ ( arr @ X2 @ X3 ) )
| ~ ( tc @ ( cons @ X2 @ X0 ) @ X1 @ X3 ) ),
inference(cnf,[status(esa)],[axiom_033]) ).
thf(zip_derived_cl28_001,plain,
! [X0: $i] :
( ( nf @ ( lam @ X0 ) )
| ~ ( nf @ X0 ) ),
inference(cnf,[status(esa)],[axiom_026]) ).
thf(zip_derived_cl38_002,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( tc @ X0 @ ( lam @ X1 ) @ ( arr @ X2 @ X3 ) )
| ~ ( tc @ ( cons @ X2 @ X0 ) @ X1 @ X3 ) ),
inference(cnf,[status(esa)],[axiom_033]) ).
thf(goal_036,conjecture,
? [E: $i] :
( ( tc @ nil @ E @ ( arr @ a @ ( arr @ b @ b ) ) )
& ( nf @ E ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ? [E: $i] :
( ( tc @ nil @ E @ ( arr @ a @ ( arr @ b @ b ) ) )
& ( nf @ E ) ),
inference('cnf.neg',[status(esa)],[goal_036]) ).
thf(zip_derived_cl42,plain,
! [X0: $i] :
( ~ ( tc @ nil @ X0 @ ( arr @ a @ ( arr @ b @ b ) ) )
| ~ ( nf @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl150,plain,
! [X0: $i] :
( ~ ( tc @ ( cons @ a @ nil ) @ X0 @ ( arr @ b @ b ) )
| ~ ( nf @ ( lam @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl38,zip_derived_cl42]) ).
thf(zip_derived_cl160,plain,
! [X0: $i] :
( ~ ( nf @ X0 )
| ~ ( tc @ ( cons @ a @ nil ) @ X0 @ ( arr @ b @ b ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl28,zip_derived_cl150]) ).
thf(zip_derived_cl167,plain,
! [X0: $i] :
( ~ ( tc @ ( cons @ b @ ( cons @ a @ nil ) ) @ X0 @ b )
| ~ ( nf @ ( lam @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl38,zip_derived_cl160]) ).
thf(zip_derived_cl177,plain,
! [X0: $i] :
( ~ ( nf @ X0 )
| ~ ( tc @ ( cons @ b @ ( cons @ a @ nil ) ) @ X0 @ b ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl28,zip_derived_cl167]) ).
thf(zip_derived_cl182,plain,
! [X0: $i] :
( ( ( index @ ( cons @ b @ ( cons @ a @ nil ) ) @ X0 )
!= ( just @ b ) )
| ~ ( nf @ ( var @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl112,zip_derived_cl177]) ).
thf(axiom_027,axiom,
! [X4: $i] : ( nf @ ( var @ X4 ) ) ).
thf(zip_derived_cl29,plain,
! [X0: $i] : ( nf @ ( var @ X0 ) ),
inference(cnf,[status(esa)],[axiom_027]) ).
thf(zip_derived_cl183,plain,
! [X0: $i] :
( ( index @ ( cons @ b @ ( cons @ a @ nil ) ) @ X0 )
!= ( just @ b ) ),
inference(demod,[status(thm)],[zip_derived_cl182,zip_derived_cl29]) ).
thf(zip_derived_cl185,plain,
( ( just @ b )
!= ( just @ b ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl183]) ).
thf(zip_derived_cl186,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl185]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWX222+1 : TPTP v9.3.0. Released v9.3.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.uYzTZzcOJO true
% 0.18/0.34 % Computer : n011.cluster.edu
% 0.18/0.34 % Model : x86_64 x86_64
% 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.34 % Memory : 8042.1875MB
% 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.34 % CPULimit : 300
% 0.18/0.34 % WCLimit : 300
% 0.18/0.34 % DateTime : Tue May 5 12:33:47 EDT 2026
% 0.18/0.35 % CPUTime :
% 0.18/0.35 % Running portfolio for 300 s
% 0.18/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.35 % Number of cores: 8
% 0.18/0.35 % Python version: Python 3.6.8
% 0.18/0.35 % Running in FO mode
% 0.47/0.59 % Total configuration time : 435
% 0.47/0.59 % Estimated wc time : 1092
% 0.47/0.59 % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.65 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.55/0.72 % Solved by fo/fo6_bce.sh.
% 0.55/0.72 % BCE start: 43
% 0.55/0.72 % BCE eliminated: 0
% 0.55/0.72 % PE start: 43
% 0.55/0.72 logic: eq
% 0.55/0.72 % PE eliminated: 0
% 0.55/0.72 % done 68 iterations in 0.044s
% 0.55/0.72 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.55/0.72 % SZS output start Refutation
% See solution above
% 0.55/0.72
% 0.55/0.72
% 0.55/0.72 % Terminating...
% 1.79/0.80 % Runner terminated.
% 1.79/0.81 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------