%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWX187+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.zIe0CSYZsh true
% Computer : n016.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 07:08:46 PM UTC 2026
% Result : Theorem 0.57s 0.86s
% Output : Refutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 12
% Syntax : Number of formulae : 74 ( 46 unt; 0 typ; 0 def)
% Number of atoms : 142 ( 105 equ; 0 cnn)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 1081 ( 59 ~; 57 |; 0 &; 954 @)
% ( 1 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 196 ( 0 ^; 188 !; 8 ?; 196 :)
% Comments :
%------------------------------------------------------------------------------
thf(nil_type,type,
nil: $i ).
thf(rotate_type,type,
rotate: $i > $i > $i ).
thf(head_type,type,
head: $i > $i ).
thf(x_type,type,
x: $i > $i > $i ).
thf(x2_type,type,
x2: $i > $i > $o ).
thf(cons_type,type,
cons: $i > $i > $i ).
thf(length_type,type,
length: $i > $i ).
thf(z_type,type,
z: $i ).
thf(s_type,type,
s: $i > $i ).
thf(axiom_010,axiom,
! [X2: $i] : ( x2 @ z @ ( s @ X2 ) ) ).
thf(zip_derived_cl10,plain,
! [X0: $i] : ( x2 @ z @ ( s @ X0 ) ),
inference(cnf,[status(esa)],[axiom_010]) ).
thf(axiom_008,axiom,
! [Z: $i,Y2: $i] :
( ( x2 @ ( s @ Z ) @ ( s @ Y2 ) )
<=> ( x2 @ Z @ Y2 ) ) ).
thf(zip_derived_cl8,plain,
! [X0: $i,X1: $i] :
( ( x2 @ ( s @ X0 ) @ ( s @ X1 ) )
| ~ ( x2 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[axiom_008]) ).
thf(axiom_006,axiom,
( ( length @ nil )
= z ) ).
thf(zip_derived_cl5,plain,
( ( length @ nil )
= z ),
inference(cnf,[status(esa)],[axiom_006]) ).
thf(axiom_007,axiom,
! [Y: $i,Xs: $i] :
( ( length @ ( cons @ Y @ Xs ) )
= ( s @ ( length @ Xs ) ) ) ).
thf(zip_derived_cl6,plain,
! [X0: $i,X1: $i] :
( ( length @ ( cons @ X1 @ X0 ) )
= ( s @ ( length @ X0 ) ) ),
inference(cnf,[status(esa)],[axiom_007]) ).
thf(zip_derived_cl6_001,plain,
! [X0: $i,X1: $i] :
( ( length @ ( cons @ X1 @ X0 ) )
= ( s @ ( length @ X0 ) ) ),
inference(cnf,[status(esa)],[axiom_007]) ).
thf(zip_derived_cl6_002,plain,
! [X0: $i,X1: $i] :
( ( length @ ( cons @ X1 @ X0 ) )
= ( s @ ( length @ X0 ) ) ),
inference(cnf,[status(esa)],[axiom_007]) ).
thf(zip_derived_cl8_003,plain,
! [X0: $i,X1: $i] :
( ( x2 @ ( s @ X0 ) @ ( s @ X1 ) )
| ~ ( x2 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[axiom_008]) ).
thf(zip_derived_cl10_004,plain,
! [X0: $i] : ( x2 @ z @ ( s @ X0 ) ),
inference(cnf,[status(esa)],[axiom_010]) ).
thf(zip_derived_cl6_005,plain,
! [X0: $i,X1: $i] :
( ( length @ ( cons @ X1 @ X0 ) )
= ( s @ ( length @ X0 ) ) ),
inference(cnf,[status(esa)],[axiom_007]) ).
thf(goal_017,conjecture,
? [N: $i,M: $i,Ys: $i,Xs: $i] :
~ ( ( x2 @ N @ ( length @ Xs ) )
=> ( ( x2 @ M @ ( length @ Ys ) )
=> ( ( Xs = Ys )
=> ( ( ( rotate @ ( s @ z ) @ Xs )
!= Xs )
=> ( ( ( rotate @ N @ Xs )
= ( rotate @ M @ Ys ) )
=> ( N = M ) ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ? [N: $i,M: $i,Ys: $i,Xs: $i] :
~ ( ( x2 @ N @ ( length @ Xs ) )
=> ( ( x2 @ M @ ( length @ Ys ) )
=> ( ( Xs = Ys )
=> ( ( ( rotate @ ( s @ z ) @ Xs )
!= Xs )
=> ( ( ( rotate @ N @ Xs )
= ( rotate @ M @ Ys ) )
=> ( N = M ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[goal_017]) ).
thf(zip_derived_cl17,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( x2 @ X0 @ ( length @ X1 ) )
| ( X2 = X0 )
| ~ ( x2 @ X2 @ ( length @ X3 ) )
| ( X3 != X1 )
| ( ( rotate @ X2 @ X3 )
!= ( rotate @ X0 @ X1 ) )
| ( ( rotate @ ( s @ z ) @ X3 )
= X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl19,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( rotate @ ( s @ z ) @ X0 )
= X0 )
| ( ( rotate @ X1 @ X0 )
!= ( rotate @ X2 @ X0 ) )
| ~ ( x2 @ X1 @ ( length @ X0 ) )
| ( X1 = X2 )
| ~ ( x2 @ X2 @ ( length @ X0 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl20,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( x2 @ X2 @ ( s @ ( length @ X0 ) ) )
| ~ ( x2 @ X3 @ ( length @ ( cons @ X1 @ X0 ) ) )
| ( X2 = X3 )
| ( ( rotate @ X2 @ ( cons @ X1 @ X0 ) )
!= ( rotate @ X3 @ ( cons @ X1 @ X0 ) ) )
| ( ( rotate @ ( s @ z ) @ ( cons @ X1 @ X0 ) )
= ( cons @ X1 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl19]) ).
thf(zip_derived_cl6_006,plain,
! [X0: $i,X1: $i] :
( ( length @ ( cons @ X1 @ X0 ) )
= ( s @ ( length @ X0 ) ) ),
inference(cnf,[status(esa)],[axiom_007]) ).
thf(zip_derived_cl22,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( x2 @ X2 @ ( s @ ( length @ X0 ) ) )
| ~ ( x2 @ X3 @ ( s @ ( length @ X0 ) ) )
| ( X2 = X3 )
| ( ( rotate @ X2 @ ( cons @ X1 @ X0 ) )
!= ( rotate @ X3 @ ( cons @ X1 @ X0 ) ) )
| ( ( rotate @ ( s @ z ) @ ( cons @ X1 @ X0 ) )
= ( cons @ X1 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20,zip_derived_cl6]) ).
thf(zip_derived_cl29,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( rotate @ ( s @ z ) @ ( cons @ X1 @ X0 ) )
= ( cons @ X1 @ X0 ) )
| ( ( rotate @ z @ ( cons @ X1 @ X0 ) )
!= ( rotate @ X2 @ ( cons @ X1 @ X0 ) ) )
| ( z = X2 )
| ~ ( x2 @ X2 @ ( s @ ( length @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl22]) ).
thf(axiom_016,axiom,
! [Y: $i] :
( ( rotate @ z @ Y )
= Y ) ).
thf(zip_derived_cl16,plain,
! [X0: $i] :
( ( rotate @ z @ X0 )
= X0 ),
inference(cnf,[status(esa)],[axiom_016]) ).
thf(zip_derived_cl33,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( rotate @ ( s @ z ) @ ( cons @ X1 @ X0 ) )
= ( cons @ X1 @ X0 ) )
| ( ( cons @ X1 @ X0 )
!= ( rotate @ X2 @ ( cons @ X1 @ X0 ) ) )
| ( z = X2 )
| ~ ( x2 @ X2 @ ( s @ ( length @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29,zip_derived_cl16]) ).
thf(zip_derived_cl36,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( x2 @ X1 @ ( length @ X0 ) )
| ( z
= ( s @ X1 ) )
| ( ( cons @ X2 @ X0 )
!= ( rotate @ ( s @ X1 ) @ ( cons @ X2 @ X0 ) ) )
| ( ( rotate @ ( s @ z ) @ ( cons @ X2 @ X0 ) )
= ( cons @ X2 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl33]) ).
thf(axiom_015,axiom,
! [Z: $i,X2: $i,X3: $i] :
( ( rotate @ ( s @ Z ) @ ( cons @ X2 @ X3 ) )
= ( rotate @ Z @ ( x @ X3 @ ( cons @ X2 @ nil ) ) ) ) ).
thf(zip_derived_cl15,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( rotate @ ( s @ X0 ) @ ( cons @ X2 @ X1 ) )
= ( rotate @ X0 @ ( x @ X1 @ ( cons @ X2 @ nil ) ) ) ),
inference(cnf,[status(esa)],[axiom_015]) ).
thf(zip_derived_cl40,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( x2 @ X1 @ ( length @ X0 ) )
| ( z
= ( s @ X1 ) )
| ( ( cons @ X2 @ X0 )
!= ( rotate @ X1 @ ( x @ X0 @ ( cons @ X2 @ nil ) ) ) )
| ( ( rotate @ ( s @ z ) @ ( cons @ X2 @ X0 ) )
= ( cons @ X2 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl36,zip_derived_cl15]) ).
thf(axiom_005,axiom,
! [X: $i] :
( ( s @ X )
!= z ) ).
thf(zip_derived_cl4,plain,
! [X0: $i] :
( ( s @ X0 )
!= z ),
inference(cnf,[status(esa)],[axiom_005]) ).
thf(zip_derived_cl41,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( x2 @ X1 @ ( length @ X0 ) )
| ( ( cons @ X2 @ X0 )
!= ( rotate @ X1 @ ( x @ X0 @ ( cons @ X2 @ nil ) ) ) )
| ( ( rotate @ ( s @ z ) @ ( cons @ X2 @ X0 ) )
= ( cons @ X2 @ X0 ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl40,zip_derived_cl4]) ).
thf(zip_derived_cl44,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( x2 @ X2 @ ( s @ ( length @ X0 ) ) )
| ( ( rotate @ ( s @ z ) @ ( cons @ X3 @ ( cons @ X1 @ X0 ) ) )
= ( cons @ X3 @ ( cons @ X1 @ X0 ) ) )
| ( ( cons @ X3 @ ( cons @ X1 @ X0 ) )
!= ( rotate @ X2 @ ( x @ ( cons @ X1 @ X0 ) @ ( cons @ X3 @ nil ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl41]) ).
thf(axiom_013,axiom,
! [Y: $i,Z: $i,Xs: $i] :
( ( x @ ( cons @ Z @ Xs ) @ Y )
= ( cons @ Z @ ( x @ Xs @ Y ) ) ) ).
thf(zip_derived_cl13,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( x @ ( cons @ X0 @ X1 ) @ X2 )
= ( cons @ X0 @ ( x @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[axiom_013]) ).
thf(zip_derived_cl46,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( x2 @ X2 @ ( s @ ( length @ X0 ) ) )
| ( ( rotate @ ( s @ z ) @ ( cons @ X3 @ ( cons @ X1 @ X0 ) ) )
= ( cons @ X3 @ ( cons @ X1 @ X0 ) ) )
| ( ( cons @ X3 @ ( cons @ X1 @ X0 ) )
!= ( rotate @ X2 @ ( cons @ X1 @ ( x @ X0 @ ( cons @ X3 @ nil ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl44,zip_derived_cl13]) ).
thf(zip_derived_cl60,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( x2 @ X2 @ ( s @ ( s @ ( length @ X0 ) ) ) )
| ( ( cons @ X4 @ ( cons @ X3 @ ( cons @ X1 @ X0 ) ) )
!= ( rotate @ X2 @ ( cons @ X3 @ ( x @ ( cons @ X1 @ X0 ) @ ( cons @ X4 @ nil ) ) ) ) )
| ( ( rotate @ ( s @ z ) @ ( cons @ X4 @ ( cons @ X3 @ ( cons @ X1 @ X0 ) ) ) )
= ( cons @ X4 @ ( cons @ X3 @ ( cons @ X1 @ X0 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl46]) ).
thf(zip_derived_cl13_007,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( x @ ( cons @ X0 @ X1 ) @ X2 )
= ( cons @ X0 @ ( x @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[axiom_013]) ).
thf(zip_derived_cl64,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( x2 @ X2 @ ( s @ ( s @ ( length @ X0 ) ) ) )
| ( ( cons @ X4 @ ( cons @ X3 @ ( cons @ X1 @ X0 ) ) )
!= ( rotate @ X2 @ ( cons @ X3 @ ( cons @ X1 @ ( x @ X0 @ ( cons @ X4 @ nil ) ) ) ) ) )
| ( ( rotate @ ( s @ z ) @ ( cons @ X4 @ ( cons @ X3 @ ( cons @ X1 @ X0 ) ) ) )
= ( cons @ X4 @ ( cons @ X3 @ ( cons @ X1 @ X0 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl60,zip_derived_cl13]) ).
thf(zip_derived_cl98,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ( x2 @ X2 @ ( s @ ( s @ ( s @ ( length @ X0 ) ) ) ) )
| ( ( rotate @ ( s @ z ) @ ( cons @ X5 @ ( cons @ X4 @ ( cons @ X3 @ ( cons @ X1 @ X0 ) ) ) ) )
= ( cons @ X5 @ ( cons @ X4 @ ( cons @ X3 @ ( cons @ X1 @ X0 ) ) ) ) )
| ( ( cons @ X5 @ ( cons @ X4 @ ( cons @ X3 @ ( cons @ X1 @ X0 ) ) ) )
!= ( rotate @ X2 @ ( cons @ X4 @ ( cons @ X3 @ ( x @ ( cons @ X1 @ X0 ) @ ( cons @ X5 @ nil ) ) ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl64]) ).
thf(zip_derived_cl13_008,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( x @ ( cons @ X0 @ X1 ) @ X2 )
= ( cons @ X0 @ ( x @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[axiom_013]) ).
thf(zip_derived_cl102,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ( x2 @ X2 @ ( s @ ( s @ ( s @ ( length @ X0 ) ) ) ) )
| ( ( rotate @ ( s @ z ) @ ( cons @ X5 @ ( cons @ X4 @ ( cons @ X3 @ ( cons @ X1 @ X0 ) ) ) ) )
= ( cons @ X5 @ ( cons @ X4 @ ( cons @ X3 @ ( cons @ X1 @ X0 ) ) ) ) )
| ( ( cons @ X5 @ ( cons @ X4 @ ( cons @ X3 @ ( cons @ X1 @ X0 ) ) ) )
!= ( rotate @ X2 @ ( cons @ X4 @ ( cons @ X3 @ ( cons @ X1 @ ( x @ X0 @ ( cons @ X5 @ nil ) ) ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl98,zip_derived_cl13]) ).
thf(zip_derived_cl180,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( x2 @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
| ( ( cons @ X4 @ ( cons @ X3 @ ( cons @ X2 @ ( cons @ X1 @ nil ) ) ) )
!= ( rotate @ X0 @ ( cons @ X3 @ ( cons @ X2 @ ( cons @ X1 @ ( x @ nil @ ( cons @ X4 @ nil ) ) ) ) ) ) )
| ( ( rotate @ ( s @ z ) @ ( cons @ X4 @ ( cons @ X3 @ ( cons @ X2 @ ( cons @ X1 @ nil ) ) ) ) )
= ( cons @ X4 @ ( cons @ X3 @ ( cons @ X2 @ ( cons @ X1 @ nil ) ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl102]) ).
thf(axiom_012,axiom,
! [Y: $i] :
( ( x @ nil @ Y )
= Y ) ).
thf(zip_derived_cl12,plain,
! [X0: $i] :
( ( x @ nil @ X0 )
= X0 ),
inference(cnf,[status(esa)],[axiom_012]) ).
thf(zip_derived_cl184,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( x2 @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
| ( ( cons @ X4 @ ( cons @ X3 @ ( cons @ X2 @ ( cons @ X1 @ nil ) ) ) )
!= ( rotate @ X0 @ ( cons @ X3 @ ( cons @ X2 @ ( cons @ X1 @ ( cons @ X4 @ nil ) ) ) ) ) )
| ( ( rotate @ ( s @ z ) @ ( cons @ X4 @ ( cons @ X3 @ ( cons @ X2 @ ( cons @ X1 @ nil ) ) ) ) )
= ( cons @ X4 @ ( cons @ X3 @ ( cons @ X2 @ ( cons @ X1 @ nil ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl180,zip_derived_cl12]) ).
thf(zip_derived_cl185,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( x2 @ X0 @ ( s @ ( s @ z ) ) )
| ( ( rotate @ ( s @ z ) @ ( cons @ X4 @ ( cons @ X3 @ ( cons @ X2 @ ( cons @ X1 @ nil ) ) ) ) )
= ( cons @ X4 @ ( cons @ X3 @ ( cons @ X2 @ ( cons @ X1 @ nil ) ) ) ) )
| ( ( cons @ X4 @ ( cons @ X3 @ ( cons @ X2 @ ( cons @ X1 @ nil ) ) ) )
!= ( rotate @ ( s @ X0 ) @ ( cons @ X3 @ ( cons @ X2 @ ( cons @ X1 @ ( cons @ X4 @ nil ) ) ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl184]) ).
thf(zip_derived_cl15_009,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( rotate @ ( s @ X0 ) @ ( cons @ X2 @ X1 ) )
= ( rotate @ X0 @ ( x @ X1 @ ( cons @ X2 @ nil ) ) ) ),
inference(cnf,[status(esa)],[axiom_015]) ).
thf(zip_derived_cl13_010,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( x @ ( cons @ X0 @ X1 ) @ X2 )
= ( cons @ X0 @ ( x @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[axiom_013]) ).
thf(zip_derived_cl13_011,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( x @ ( cons @ X0 @ X1 ) @ X2 )
= ( cons @ X0 @ ( x @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[axiom_013]) ).
thf(zip_derived_cl13_012,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( x @ ( cons @ X0 @ X1 ) @ X2 )
= ( cons @ X0 @ ( x @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[axiom_013]) ).
thf(zip_derived_cl12_013,plain,
! [X0: $i] :
( ( x @ nil @ X0 )
= X0 ),
inference(cnf,[status(esa)],[axiom_012]) ).
thf(zip_derived_cl187,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( x2 @ X0 @ ( s @ ( s @ z ) ) )
| ( ( rotate @ ( s @ z ) @ ( cons @ X4 @ ( cons @ X3 @ ( cons @ X2 @ ( cons @ X1 @ nil ) ) ) ) )
= ( cons @ X4 @ ( cons @ X3 @ ( cons @ X2 @ ( cons @ X1 @ nil ) ) ) ) )
| ( ( cons @ X4 @ ( cons @ X3 @ ( cons @ X2 @ ( cons @ X1 @ nil ) ) ) )
!= ( rotate @ X0 @ ( cons @ X2 @ ( cons @ X1 @ ( cons @ X4 @ ( cons @ X3 @ nil ) ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl185,zip_derived_cl15,zip_derived_cl13,zip_derived_cl13,zip_derived_cl13,zip_derived_cl12]) ).
thf(zip_derived_cl192,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( cons @ X3 @ ( cons @ X2 @ ( cons @ X1 @ ( cons @ X0 @ nil ) ) ) )
!= ( rotate @ z @ ( cons @ X1 @ ( cons @ X0 @ ( cons @ X3 @ ( cons @ X2 @ nil ) ) ) ) ) )
| ( ( rotate @ ( s @ z ) @ ( cons @ X3 @ ( cons @ X2 @ ( cons @ X1 @ ( cons @ X0 @ nil ) ) ) ) )
= ( cons @ X3 @ ( cons @ X2 @ ( cons @ X1 @ ( cons @ X0 @ nil ) ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl187]) ).
thf(zip_derived_cl16_014,plain,
! [X0: $i] :
( ( rotate @ z @ X0 )
= X0 ),
inference(cnf,[status(esa)],[axiom_016]) ).
thf(zip_derived_cl194,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( cons @ X3 @ ( cons @ X2 @ ( cons @ X1 @ ( cons @ X0 @ nil ) ) ) )
!= ( cons @ X1 @ ( cons @ X0 @ ( cons @ X3 @ ( cons @ X2 @ nil ) ) ) ) )
| ( ( rotate @ ( s @ z ) @ ( cons @ X3 @ ( cons @ X2 @ ( cons @ X1 @ ( cons @ X0 @ nil ) ) ) ) )
= ( cons @ X3 @ ( cons @ X2 @ ( cons @ X1 @ ( cons @ X0 @ nil ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl192,zip_derived_cl16]) ).
thf(zip_derived_cl15_015,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( rotate @ ( s @ X0 ) @ ( cons @ X2 @ X1 ) )
= ( rotate @ X0 @ ( x @ X1 @ ( cons @ X2 @ nil ) ) ) ),
inference(cnf,[status(esa)],[axiom_015]) ).
thf(zip_derived_cl229,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( cons @ X3 @ ( cons @ X2 @ ( cons @ X1 @ ( cons @ X0 @ nil ) ) ) )
= ( rotate @ z @ ( x @ ( cons @ X2 @ ( cons @ X1 @ ( cons @ X0 @ nil ) ) ) @ ( cons @ X3 @ nil ) ) ) )
| ( ( cons @ X3 @ ( cons @ X2 @ ( cons @ X1 @ ( cons @ X0 @ nil ) ) ) )
!= ( cons @ X1 @ ( cons @ X0 @ ( cons @ X3 @ ( cons @ X2 @ nil ) ) ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl194,zip_derived_cl15]) ).
thf(zip_derived_cl13_016,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( x @ ( cons @ X0 @ X1 ) @ X2 )
= ( cons @ X0 @ ( x @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[axiom_013]) ).
thf(zip_derived_cl13_017,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( x @ ( cons @ X0 @ X1 ) @ X2 )
= ( cons @ X0 @ ( x @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[axiom_013]) ).
thf(zip_derived_cl13_018,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( x @ ( cons @ X0 @ X1 ) @ X2 )
= ( cons @ X0 @ ( x @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[axiom_013]) ).
thf(zip_derived_cl12_019,plain,
! [X0: $i] :
( ( x @ nil @ X0 )
= X0 ),
inference(cnf,[status(esa)],[axiom_012]) ).
thf(zip_derived_cl16_020,plain,
! [X0: $i] :
( ( rotate @ z @ X0 )
= X0 ),
inference(cnf,[status(esa)],[axiom_016]) ).
thf(zip_derived_cl230,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( cons @ X3 @ ( cons @ X2 @ ( cons @ X1 @ ( cons @ X0 @ nil ) ) ) )
= ( cons @ X2 @ ( cons @ X1 @ ( cons @ X0 @ ( cons @ X3 @ nil ) ) ) ) )
| ( ( cons @ X3 @ ( cons @ X2 @ ( cons @ X1 @ ( cons @ X0 @ nil ) ) ) )
!= ( cons @ X1 @ ( cons @ X0 @ ( cons @ X3 @ ( cons @ X2 @ nil ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl229,zip_derived_cl13,zip_derived_cl13,zip_derived_cl13,zip_derived_cl12,zip_derived_cl16]) ).
thf(zip_derived_cl231,plain,
! [X0: $i,X1: $i] :
( ( cons @ X1 @ ( cons @ X0 @ ( cons @ X1 @ ( cons @ X0 @ nil ) ) ) )
= ( cons @ X0 @ ( cons @ X1 @ ( cons @ X0 @ ( cons @ X1 @ nil ) ) ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl230]) ).
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_cl232,plain,
! [X0: $i,X1: $i] :
( ( head @ ( cons @ X1 @ ( cons @ X0 @ ( cons @ X1 @ ( cons @ X0 @ nil ) ) ) ) )
= X0 ),
inference('sup+',[status(thm)],[zip_derived_cl231,zip_derived_cl0]) ).
thf(zip_derived_cl0_021,plain,
! [X0: $i,X1: $i] :
( ( head @ ( cons @ X0 @ X1 ) )
= X0 ),
inference(cnf,[status(esa)],[axiom_001]) ).
thf(zip_derived_cl304,plain,
! [X0: $i,X1: $i] : ( X0 = X1 ),
inference('sup+',[status(thm)],[zip_derived_cl232,zip_derived_cl0]) ).
thf(axiom_003,axiom,
! [X: $i,X2: $i] :
( nil
!= ( cons @ X @ X2 ) ) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i] :
( nil
!= ( cons @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[axiom_003]) ).
thf(zip_derived_cl307,plain,
! [X0: $i] : ( nil != X0 ),
inference('sup-',[status(thm)],[zip_derived_cl304,zip_derived_cl2]) ).
thf(zip_derived_cl304_022,plain,
! [X0: $i,X1: $i] : ( X0 = X1 ),
inference('sup+',[status(thm)],[zip_derived_cl232,zip_derived_cl0]) ).
thf(zip_derived_cl335,plain,
$false,
inference('simplify_reflect+',[status(thm)],[zip_derived_cl307,zip_derived_cl304]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWX187+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.zIe0CSYZsh true
% 0.17/0.34 % Computer : n016.cluster.edu
% 0.17/0.34 % Model : x86_64 x86_64
% 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34 % Memory : 8042.1875MB
% 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34 % CPULimit : 300
% 0.17/0.34 % WCLimit : 300
% 0.17/0.34 % DateTime : Tue May 5 09:41:21 EDT 2026
% 0.17/0.34 % CPUTime :
% 0.17/0.34 % Running portfolio for 300 s
% 0.17/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.34 % Number of cores: 8
% 0.17/0.35 % Python version: Python 3.6.8
% 0.17/0.35 % Running in FO mode
% 0.56/0.64 % Total configuration time : 435
% 0.56/0.64 % Estimated wc time : 1092
% 0.56/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.73 % /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
% 0.56/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.56/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.86 % Solved by fo/fo7.sh.
% 0.57/0.86 % done 94 iterations in 0.091s
% 0.57/0.86 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.57/0.86 % SZS output start Refutation
% See solution above
% 0.57/0.87
% 0.57/0.87
% 0.57/0.87 % Terminating...
% 0.60/0.95 % Runner terminated.
% 0.60/0.96 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------