%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWX199+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.ReaDZkLy8Y true
% Computer : n013.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 07:08:48 PM UTC 2026
% Result : Theorem 0.54s 0.92s
% Output : Refutation 0.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 9
% Syntax : Number of formulae : 52 ( 26 unt; 0 typ; 0 def)
% Number of atoms : 90 ( 62 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 492 ( 37 ~; 32 |; 0 &; 417 @)
% ( 1 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 104 ( 0 ^; 98 !; 6 ?; 104 :)
% Comments :
%------------------------------------------------------------------------------
thf(nil_type,type,
nil: $i ).
thf(leqNat_type,type,
leqNat: $i > $i > $o ).
thf(head_type,type,
head: $i > $i ).
thf(merge_type,type,
merge: $i > $i > $i ).
thf(cons_type,type,
cons: $i > $i > $i ).
thf(tail_type,type,
tail: $i > $i ).
thf(z_type,type,
z: $i ).
thf(s_type,type,
s: $i > $i ).
thf(axiom_006,axiom,
! [Y: $i] : ( leqNat @ z @ Y ) ).
thf(zip_derived_cl5,plain,
! [X0: $i] : ( leqNat @ z @ X0 ),
inference(cnf,[status(esa)],[axiom_006]) ).
thf(axiom_008,axiom,
! [Z: $i,M: $i] :
( ( leqNat @ ( s @ Z ) @ ( s @ M ) )
<=> ( leqNat @ Z @ M ) ) ).
thf(zip_derived_cl8,plain,
! [X0: $i,X1: $i] :
( ( leqNat @ ( s @ X0 ) @ ( s @ X1 ) )
| ~ ( leqNat @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[axiom_008]) ).
thf(axiom_009,axiom,
! [Y: $i] :
( ( merge @ nil @ Y )
= Y ) ).
thf(zip_derived_cl9,plain,
! [X0: $i] :
( ( merge @ nil @ X0 )
= X0 ),
inference(cnf,[status(esa)],[axiom_009]) ).
thf(axiom_010,axiom,
! [Z: $i,Xs: $i] :
( ( merge @ ( cons @ Z @ Xs ) @ nil )
= ( cons @ Z @ Xs ) ) ).
thf(zip_derived_cl10,plain,
! [X0: $i,X1: $i] :
( ( merge @ ( cons @ X0 @ X1 ) @ nil )
= ( cons @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[axiom_010]) ).
thf(goal_013,conjecture,
? [Xs: $i,Ys: $i,Zs: $i] :
~ ( ( ( merge @ Xs @ Ys )
= ( merge @ Ys @ Xs ) )
=> ( ( ( merge @ Xs @ Zs )
= ( merge @ Zs @ Xs ) )
=> ( ( merge @ Ys @ Zs )
= ( merge @ Zs @ Ys ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ? [Xs: $i,Ys: $i,Zs: $i] :
~ ( ( ( merge @ Xs @ Ys )
= ( merge @ Ys @ Xs ) )
=> ( ( ( merge @ Xs @ Zs )
= ( merge @ Zs @ Xs ) )
=> ( ( merge @ Ys @ Zs )
= ( merge @ Zs @ Ys ) ) ) ),
inference('cnf.neg',[status(esa)],[goal_013]) ).
thf(zip_derived_cl13,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( merge @ X1 @ X0 )
!= ( merge @ X0 @ X1 ) )
| ( ( merge @ X0 @ X2 )
= ( merge @ X2 @ X0 ) )
| ( ( merge @ X1 @ X2 )
!= ( merge @ X2 @ X1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl38,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( merge @ nil @ ( cons @ X1 @ X0 ) )
!= ( cons @ X1 @ X0 ) )
| ( ( merge @ ( cons @ X1 @ X0 ) @ X2 )
= ( merge @ X2 @ ( cons @ X1 @ X0 ) ) )
| ( ( merge @ nil @ X2 )
!= ( merge @ X2 @ nil ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl13]) ).
thf(zip_derived_cl9_001,plain,
! [X0: $i] :
( ( merge @ nil @ X0 )
= X0 ),
inference(cnf,[status(esa)],[axiom_009]) ).
thf(zip_derived_cl9_002,plain,
! [X0: $i] :
( ( merge @ nil @ X0 )
= X0 ),
inference(cnf,[status(esa)],[axiom_009]) ).
thf(zip_derived_cl44,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( cons @ X1 @ X0 )
!= ( cons @ X1 @ X0 ) )
| ( ( merge @ ( cons @ X1 @ X0 ) @ X2 )
= ( merge @ X2 @ ( cons @ X1 @ X0 ) ) )
| ( X2
!= ( merge @ X2 @ nil ) ) ),
inference(demod,[status(thm)],[zip_derived_cl38,zip_derived_cl9,zip_derived_cl9]) ).
thf(zip_derived_cl45,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2
!= ( merge @ X2 @ nil ) )
| ( ( merge @ ( cons @ X1 @ X0 ) @ X2 )
= ( merge @ X2 @ ( cons @ X1 @ X0 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl44]) ).
thf(axiom_011,axiom,
! [Z: $i,Xs: $i,Y2: $i,Ys: $i] :
( ( leqNat @ Z @ Y2 )
=> ( ( merge @ ( cons @ Z @ Xs ) @ ( cons @ Y2 @ Ys ) )
= ( cons @ Z @ ( merge @ Xs @ ( cons @ Y2 @ Ys ) ) ) ) ) ).
thf(zip_derived_cl11,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( leqNat @ X0 @ X1 )
| ( ( merge @ ( cons @ X0 @ X2 ) @ ( cons @ X1 @ X3 ) )
= ( cons @ X0 @ ( merge @ X2 @ ( cons @ X1 @ X3 ) ) ) ) ),
inference(cnf,[status(esa)],[axiom_011]) ).
thf(zip_derived_cl75,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( cons @ X1 @ X0 )
!= ( merge @ ( cons @ X1 @ X0 ) @ nil ) )
| ~ ( leqNat @ X1 @ X3 )
| ( ( merge @ ( cons @ X3 @ X2 ) @ ( cons @ X1 @ X0 ) )
= ( cons @ X1 @ ( merge @ X0 @ ( cons @ X3 @ X2 ) ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl45,zip_derived_cl11]) ).
thf(zip_derived_cl10_003,plain,
! [X0: $i,X1: $i] :
( ( merge @ ( cons @ X0 @ X1 ) @ nil )
= ( cons @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[axiom_010]) ).
thf(zip_derived_cl93,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( cons @ X1 @ X0 )
!= ( cons @ X1 @ X0 ) )
| ~ ( leqNat @ X1 @ X3 )
| ( ( merge @ ( cons @ X3 @ X2 ) @ ( cons @ X1 @ X0 ) )
= ( cons @ X1 @ ( merge @ X0 @ ( cons @ X3 @ X2 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl75,zip_derived_cl10]) ).
thf(zip_derived_cl94,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( merge @ ( cons @ X3 @ X2 ) @ ( cons @ X1 @ X0 ) )
= ( cons @ X1 @ ( merge @ X0 @ ( cons @ X3 @ X2 ) ) ) )
| ~ ( leqNat @ X1 @ X3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl93]) ).
thf(zip_derived_cl11_004,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( leqNat @ X0 @ X1 )
| ( ( merge @ ( cons @ X0 @ X2 ) @ ( cons @ X1 @ X3 ) )
= ( cons @ X0 @ ( merge @ X2 @ ( cons @ X1 @ X3 ) ) ) ) ),
inference(cnf,[status(esa)],[axiom_011]) ).
thf(zip_derived_cl182,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( leqNat @ X3 @ X1 )
| ~ ( leqNat @ X1 @ X3 )
| ( ( cons @ X3 @ ( merge @ X2 @ ( cons @ X1 @ X0 ) ) )
= ( cons @ X1 @ ( merge @ X0 @ ( cons @ X3 @ X2 ) ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl94,zip_derived_cl11]) ).
thf(zip_derived_cl307,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( leqNat @ X2 @ X1 )
| ~ ( leqNat @ X1 @ X2 )
| ( ( cons @ X2 @ ( cons @ X1 @ X0 ) )
= ( cons @ X1 @ ( merge @ X0 @ ( cons @ X2 @ nil ) ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl9,zip_derived_cl182]) ).
thf(axiom_002,axiom,
! [X: $i,X2: $i] :
( ( tail @ ( cons @ X @ X2 ) )
= X2 ) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i] :
( ( tail @ ( cons @ X1 @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[axiom_002]) ).
thf(zip_derived_cl334,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( leqNat @ X1 @ X2 )
| ~ ( leqNat @ X2 @ X1 )
| ( ( tail @ ( cons @ X2 @ ( cons @ X1 @ X0 ) ) )
= ( merge @ X0 @ ( cons @ X2 @ nil ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl307,zip_derived_cl1]) ).
thf(zip_derived_cl1_005,plain,
! [X0: $i,X1: $i] :
( ( tail @ ( cons @ X1 @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[axiom_002]) ).
thf(zip_derived_cl434,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( leqNat @ X0 @ X2 )
| ~ ( leqNat @ X2 @ X0 )
| ( ( merge @ X1 @ ( cons @ X0 @ nil ) )
= ( cons @ X2 @ X1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl334,zip_derived_cl1]) ).
thf(zip_derived_cl442,plain,
! [X0: $i,X1: $i] :
( ( ( merge @ X1 @ ( cons @ X0 @ nil ) )
= ( cons @ X0 @ X1 ) )
| ~ ( leqNat @ X0 @ X0 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl434]) ).
thf(zip_derived_cl504,plain,
! [X0: $i,X1: $i] :
( ~ ( leqNat @ X0 @ X0 )
| ( ( merge @ X1 @ ( cons @ ( s @ X0 ) @ nil ) )
= ( cons @ ( s @ X0 ) @ X1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl442]) ).
thf(zip_derived_cl759,plain,
! [X0: $i] :
( ( merge @ X0 @ ( cons @ ( s @ z ) @ nil ) )
= ( cons @ ( s @ z ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl504]) ).
thf(zip_derived_cl5_006,plain,
! [X0: $i] : ( leqNat @ z @ X0 ),
inference(cnf,[status(esa)],[axiom_006]) ).
thf(zip_derived_cl5_007,plain,
! [X0: $i] : ( leqNat @ z @ X0 ),
inference(cnf,[status(esa)],[axiom_006]) ).
thf(zip_derived_cl434_008,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( leqNat @ X0 @ X2 )
| ~ ( leqNat @ X2 @ X0 )
| ( ( merge @ X1 @ ( cons @ X0 @ nil ) )
= ( cons @ X2 @ X1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl334,zip_derived_cl1]) ).
thf(zip_derived_cl441,plain,
! [X0: $i,X1: $i] :
( ~ ( leqNat @ X0 @ z )
| ( ( merge @ X1 @ ( cons @ z @ nil ) )
= ( cons @ X0 @ X1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl434]) ).
thf(zip_derived_cl443,plain,
! [X0: $i] :
( ( merge @ X0 @ ( cons @ z @ nil ) )
= ( cons @ z @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl441]) ).
thf(zip_derived_cl45_009,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2
!= ( merge @ X2 @ nil ) )
| ( ( merge @ ( cons @ X1 @ X0 ) @ X2 )
= ( merge @ X2 @ ( cons @ X1 @ X0 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl44]) ).
thf(zip_derived_cl447,plain,
! [X0: $i] :
( ( X0
!= ( merge @ X0 @ nil ) )
| ( ( merge @ ( cons @ z @ nil ) @ X0 )
= ( cons @ z @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl443,zip_derived_cl45]) ).
thf(zip_derived_cl827,plain,
( ( ( cons @ ( s @ z ) @ nil )
!= ( merge @ ( cons @ ( s @ z ) @ nil ) @ nil ) )
| ( ( cons @ ( s @ z ) @ ( cons @ z @ nil ) )
= ( cons @ z @ ( cons @ ( s @ z ) @ nil ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl759,zip_derived_cl447]) ).
thf(zip_derived_cl10_010,plain,
! [X0: $i,X1: $i] :
( ( merge @ ( cons @ X0 @ X1 ) @ nil )
= ( cons @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[axiom_010]) ).
thf(zip_derived_cl844,plain,
( ( ( cons @ ( s @ z ) @ nil )
!= ( cons @ ( s @ z ) @ nil ) )
| ( ( cons @ ( s @ z ) @ ( cons @ z @ nil ) )
= ( cons @ z @ ( cons @ ( s @ z ) @ nil ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl827,zip_derived_cl10]) ).
thf(zip_derived_cl845,plain,
( ( cons @ ( s @ z ) @ ( cons @ z @ nil ) )
= ( cons @ z @ ( cons @ ( s @ z ) @ nil ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl844]) ).
thf(axiom_001,axiom,
! [X: $i,X2: $i] :
( ( head @ ( cons @ X @ X2 ) )
= X ) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i] :
( ( head @ ( cons @ X0 @ X1 ) )
= X0 ),
inference(cnf,[status(esa)],[axiom_001]) ).
thf(zip_derived_cl1010,plain,
( ( head @ ( cons @ z @ ( cons @ ( s @ z ) @ nil ) ) )
= ( s @ z ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl845,zip_derived_cl0]) ).
thf(zip_derived_cl0_011,plain,
! [X0: $i,X1: $i] :
( ( head @ ( cons @ X0 @ X1 ) )
= X0 ),
inference(cnf,[status(esa)],[axiom_001]) ).
thf(zip_derived_cl1046,plain,
( z
= ( s @ z ) ),
inference(demod,[status(thm)],[zip_derived_cl1010,zip_derived_cl0]) ).
thf(axiom_005,axiom,
! [X: $i] :
( z
!= ( s @ X ) ) ).
thf(zip_derived_cl4,plain,
! [X0: $i] :
( z
!= ( s @ X0 ) ),
inference(cnf,[status(esa)],[axiom_005]) ).
thf(zip_derived_cl1047,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1046,zip_derived_cl4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWX199+1 : TPTP v9.3.0. Released v9.3.0.
% 0.11/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ReaDZkLy8Y true
% 0.16/0.34 % Computer : n013.cluster.edu
% 0.16/0.34 % Model : x86_64 x86_64
% 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34 % Memory : 8042.1875MB
% 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34 % CPULimit : 300
% 0.16/0.34 % WCLimit : 300
% 0.16/0.34 % DateTime : Tue May 5 11:12:56 EDT 2026
% 0.16/0.34 % CPUTime :
% 0.16/0.34 % Running portfolio for 300 s
% 0.16/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.34 % Number of cores: 8
% 0.16/0.34 % Python version: Python 3.6.8
% 0.16/0.35 % Running in FO mode
% 0.53/0.63 % Total configuration time : 435
% 0.53/0.63 % Estimated wc time : 1092
% 0.53/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.53/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.73 % /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
% 0.54/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.74 % /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
% 0.54/0.92 % Solved by fo/fo6_bce.sh.
% 0.54/0.92 % BCE start: 14
% 0.54/0.92 % BCE eliminated: 0
% 0.54/0.92 % PE start: 14
% 0.54/0.92 logic: eq
% 0.54/0.92 % PE eliminated: 0
% 0.54/0.92 % done 146 iterations in 0.207s
% 0.54/0.92 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.54/0.92 % SZS output start Refutation
% See solution above
% 0.54/0.92
% 0.54/0.92
% 0.54/0.92 % Terminating...
% 3.03/1.03 % Runner terminated.
% 3.03/1.04 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------