%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWX210+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.r9iYmPSAy3 true
% Computer : n029.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 07:08:50 PM UTC 2026
% Result : Theorem 16.16s 3.00s
% Output : Refutation 16.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 14
% Syntax : Number of formulae : 111 ( 32 unt; 0 typ; 0 def)
% Number of atoms : 241 ( 112 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 1067 ( 144 ~; 120 |; 0 &; 793 @)
% ( 3 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 20 ( 18 usr; 6 con; 0-2 aty)
% Number of variables : 256 ( 0 ^; 254 !; 2 ?; 256 :)
% Comments :
%------------------------------------------------------------------------------
thf(nil_type,type,
nil: $i ).
thf(proj12_type,type,
proj12: $i > $i ).
thf(proj2_type,type,
proj2: $i > $i ).
thf(x_type,type,
x: $i > $i > $i ).
thf(star_type,type,
star: $i > $i ).
thf(step_type,type,
step: $i > $i > $i ).
thf(proj1Star_type,type,
proj1Star: $i > $i ).
thf(rec_type,type,
rec: $i > $i > $o ).
thf(y_type,type,
y: $i > $i > $i ).
thf(nil2_type,type,
nil2: $i ).
thf(eps2_type,type,
eps2: $i > $o ).
thf(eps_type,type,
eps: $i ).
thf(cons_type,type,
cons: $i > $i > $i ).
thf(proj22_type,type,
proj22: $i > $i ).
thf(atom_type,type,
atom: $i > $i ).
thf(proj1_type,type,
proj1: $i > $i ).
thf(b_type,type,
b: $i ).
thf(a_type,type,
a: $i ).
thf(axiom_049,axiom,
! [X: $i,Z: $i,Xs: $i] :
( ( rec @ X @ ( cons @ Z @ Xs ) )
<=> ( rec @ ( step @ X @ Z ) @ Xs ) ) ).
thf(zip_derived_cl53,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( rec @ ( step @ X0 @ X1 ) @ X2 )
| ~ ( rec @ X0 @ ( cons @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[axiom_049]) ).
thf(axiom_048,axiom,
! [X: $i] :
( ( rec @ X @ nil )
<=> ( eps2 @ X ) ) ).
thf(zip_derived_cl51,plain,
! [X0: $i] :
( ( eps2 @ X0 )
| ~ ( rec @ X0 @ nil ) ),
inference(cnf,[status(esa)],[axiom_048]) ).
thf(zip_derived_cl147,plain,
! [X0: $i,X1: $i] :
( ~ ( rec @ X1 @ ( cons @ X0 @ nil ) )
| ( eps2 @ ( step @ X1 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl53,zip_derived_cl51]) ).
thf(axiom_042,axiom,
! [Y: $i,B: $i] :
( ( B = Y )
=> ( ( step @ ( atom @ B ) @ Y )
= eps ) ) ).
thf(zip_derived_cl45,plain,
! [X0: $i,X1: $i] :
( ( ( step @ ( atom @ X0 ) @ X1 )
= eps )
| ( X0 != X1 ) ),
inference(cnf,[status(esa)],[axiom_042]) ).
thf(zip_derived_cl54,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( rec @ X0 @ ( cons @ X1 @ X2 ) )
| ~ ( rec @ ( step @ X0 @ X1 ) @ X2 ) ),
inference(cnf,[status(esa)],[axiom_049]) ).
thf(zip_derived_cl131,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( rec @ eps @ X0 )
| ( X2 != X1 )
| ( rec @ ( atom @ X2 ) @ ( cons @ X1 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl45,zip_derived_cl54]) ).
thf(zip_derived_cl245,plain,
! [X0: $i,X1: $i] :
( ( eps2 @ ( step @ ( atom @ X1 ) @ X0 ) )
| ( X1 != X0 )
| ~ ( rec @ eps @ nil ) ),
inference('sup+',[status(thm)],[zip_derived_cl147,zip_derived_cl131]) ).
thf(zip_derived_cl45_001,plain,
! [X0: $i,X1: $i] :
( ( ( step @ ( atom @ X0 ) @ X1 )
= eps )
| ( X0 != X1 ) ),
inference(cnf,[status(esa)],[axiom_042]) ).
thf(zip_derived_cl45_002,plain,
! [X0: $i,X1: $i] :
( ( ( step @ ( atom @ X0 ) @ X1 )
= eps )
| ( X0 != X1 ) ),
inference(cnf,[status(esa)],[axiom_042]) ).
thf(zip_derived_cl53_003,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( rec @ ( step @ X0 @ X1 ) @ X2 )
| ~ ( rec @ X0 @ ( cons @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[axiom_049]) ).
thf(zip_derived_cl152,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( rec @ eps @ X0 )
| ( X2 != X1 )
| ~ ( rec @ ( atom @ X2 ) @ ( cons @ X1 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl45,zip_derived_cl53]) ).
thf(zip_derived_cl54_004,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( rec @ X0 @ ( cons @ X1 @ X2 ) )
| ~ ( rec @ ( step @ X0 @ X1 ) @ X2 ) ),
inference(cnf,[status(esa)],[axiom_049]) ).
thf(zip_derived_cl52,plain,
! [X0: $i] :
( ( rec @ X0 @ nil )
| ~ ( eps2 @ X0 ) ),
inference(cnf,[status(esa)],[axiom_048]) ).
thf(zip_derived_cl129,plain,
! [X0: $i,X1: $i] :
( ( rec @ X1 @ ( cons @ X0 @ nil ) )
| ~ ( eps2 @ ( step @ X1 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl54,zip_derived_cl52]) ).
thf(zip_derived_cl197,plain,
! [X0: $i,X1: $i] :
( ( X1 != X0 )
| ( rec @ eps @ nil )
| ~ ( eps2 @ ( step @ ( atom @ X1 ) @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl152,zip_derived_cl129]) ).
thf(zip_derived_cl199,plain,
! [X0: $i,X1: $i] :
( ~ ( eps2 @ eps )
| ( X1 != X0 )
| ( rec @ eps @ nil )
| ( X1 != X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl45,zip_derived_cl197]) ).
thf(axiom_037,axiom,
eps2 @ eps ).
thf(zip_derived_cl36,plain,
eps2 @ eps,
inference(cnf,[status(esa)],[axiom_037]) ).
thf(zip_derived_cl201,plain,
! [X0: $i,X1: $i] :
( ( X1 != X0 )
| ( rec @ eps @ nil )
| ( X1 != X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl199,zip_derived_cl36]) ).
thf(zip_derived_cl202,plain,
! [X0: $i,X1: $i] :
( ( rec @ eps @ nil )
| ( X1 != X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl201]) ).
thf(zip_derived_cl223,plain,
rec @ eps @ nil,
inference(eq_res,[status(thm)],[zip_derived_cl202]) ).
thf(zip_derived_cl255,plain,
! [X0: $i,X1: $i] :
( ( eps2 @ ( step @ ( atom @ X1 ) @ X0 ) )
| ( X1 != X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl245,zip_derived_cl223]) ).
thf(axiom_038,axiom,
! [P: $i,Q: $i] :
( ( eps2 @ ( x @ P @ Q ) )
<=> ( ( eps2 @ P )
| ( eps2 @ Q ) ) ) ).
thf(zip_derived_cl39,plain,
! [X0: $i,X1: $i] :
( ( eps2 @ ( x @ X0 @ X1 ) )
| ~ ( eps2 @ X1 ) ),
inference(cnf,[status(esa)],[axiom_038]) ).
thf(axiom_045,axiom,
! [Y: $i,R: $i,Q2: $i] :
( ( eps2 @ R )
=> ( ( step @ ( y @ R @ Q2 ) @ Y )
= ( x @ ( y @ ( step @ R @ Y ) @ Q2 ) @ ( step @ Q2 @ Y ) ) ) ) ).
thf(zip_derived_cl48,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( eps2 @ X0 )
| ( ( step @ ( y @ X0 @ X2 ) @ X1 )
= ( x @ ( y @ ( step @ X0 @ X1 ) @ X2 ) @ ( step @ X2 @ X1 ) ) ) ),
inference(cnf,[status(esa)],[axiom_045]) ).
thf(zip_derived_cl45_005,plain,
! [X0: $i,X1: $i] :
( ( ( step @ ( atom @ X0 ) @ X1 )
= eps )
| ( X0 != X1 ) ),
inference(cnf,[status(esa)],[axiom_042]) ).
thf(zip_derived_cl38,plain,
! [X0: $i,X1: $i] :
( ( eps2 @ ( x @ X0 @ X1 ) )
| ~ ( eps2 @ X0 ) ),
inference(cnf,[status(esa)],[axiom_038]) ).
thf(axiom_046,axiom,
! [Y: $i,R: $i,Q2: $i] :
( ~ ( eps2 @ R )
=> ( ( step @ ( y @ R @ Q2 ) @ Y )
= ( x @ ( y @ ( step @ R @ Y ) @ Q2 ) @ nil2 ) ) ) ).
thf(zip_derived_cl49,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( eps2 @ X0 )
| ( ( step @ ( y @ X0 @ X2 ) @ X1 )
= ( x @ ( y @ ( step @ X0 @ X1 ) @ X2 ) @ nil2 ) ) ),
inference(cnf,[status(esa)],[axiom_046]) ).
thf(zip_derived_cl39_006,plain,
! [X0: $i,X1: $i] :
( ( eps2 @ ( x @ X0 @ X1 ) )
| ~ ( eps2 @ X1 ) ),
inference(cnf,[status(esa)],[axiom_038]) ).
thf(zip_derived_cl48_007,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( eps2 @ X0 )
| ( ( step @ ( y @ X0 @ X2 ) @ X1 )
= ( x @ ( y @ ( step @ X0 @ X1 ) @ X2 ) @ ( step @ X2 @ X1 ) ) ) ),
inference(cnf,[status(esa)],[axiom_045]) ).
thf(zip_derived_cl45_008,plain,
! [X0: $i,X1: $i] :
( ( ( step @ ( atom @ X0 ) @ X1 )
= eps )
| ( X0 != X1 ) ),
inference(cnf,[status(esa)],[axiom_042]) ).
thf(zip_derived_cl38_009,plain,
! [X0: $i,X1: $i] :
( ( eps2 @ ( x @ X0 @ X1 ) )
| ~ ( eps2 @ X0 ) ),
inference(cnf,[status(esa)],[axiom_038]) ).
thf(zip_derived_cl49_010,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( eps2 @ X0 )
| ( ( step @ ( y @ X0 @ X2 ) @ X1 )
= ( x @ ( y @ ( step @ X0 @ X1 ) @ X2 ) @ nil2 ) ) ),
inference(cnf,[status(esa)],[axiom_046]) ).
thf(zip_derived_cl39_011,plain,
! [X0: $i,X1: $i] :
( ( eps2 @ ( x @ X0 @ X1 ) )
| ~ ( eps2 @ X1 ) ),
inference(cnf,[status(esa)],[axiom_038]) ).
thf(zip_derived_cl48_012,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( eps2 @ X0 )
| ( ( step @ ( y @ X0 @ X2 ) @ X1 )
= ( x @ ( y @ ( step @ X0 @ X1 ) @ X2 ) @ ( step @ X2 @ X1 ) ) ) ),
inference(cnf,[status(esa)],[axiom_045]) ).
thf(zip_derived_cl38_013,plain,
! [X0: $i,X1: $i] :
( ( eps2 @ ( x @ X0 @ X1 ) )
| ~ ( eps2 @ X0 ) ),
inference(cnf,[status(esa)],[axiom_038]) ).
thf(zip_derived_cl129_014,plain,
! [X0: $i,X1: $i] :
( ( rec @ X1 @ ( cons @ X0 @ nil ) )
| ~ ( eps2 @ ( step @ X1 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl54,zip_derived_cl52]) ).
thf(zip_derived_cl54_015,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( rec @ X0 @ ( cons @ X1 @ X2 ) )
| ~ ( rec @ ( step @ X0 @ X1 ) @ X2 ) ),
inference(cnf,[status(esa)],[axiom_049]) ).
thf(zip_derived_cl133,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( eps2 @ ( step @ ( step @ X2 @ X1 ) @ X0 ) )
| ( rec @ X2 @ ( cons @ X1 @ ( cons @ X0 @ nil ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl129,zip_derived_cl54]) ).
thf(zip_derived_cl54_016,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( rec @ X0 @ ( cons @ X1 @ X2 ) )
| ~ ( rec @ ( step @ X0 @ X1 ) @ X2 ) ),
inference(cnf,[status(esa)],[axiom_049]) ).
thf(zip_derived_cl292,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( eps2 @ ( step @ ( step @ ( step @ X3 @ X2 ) @ X1 ) @ X0 ) )
| ( rec @ X3 @ ( cons @ X2 @ ( cons @ X1 @ ( cons @ X0 @ nil ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl133,zip_derived_cl54]) ).
thf(zip_derived_cl45_017,plain,
! [X0: $i,X1: $i] :
( ( ( step @ ( atom @ X0 ) @ X1 )
= eps )
| ( X0 != X1 ) ),
inference(cnf,[status(esa)],[axiom_042]) ).
thf(zip_derived_cl49_018,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( eps2 @ X0 )
| ( ( step @ ( y @ X0 @ X2 ) @ X1 )
= ( x @ ( y @ ( step @ X0 @ X1 ) @ X2 ) @ nil2 ) ) ),
inference(cnf,[status(esa)],[axiom_046]) ).
thf(zip_derived_cl54_019,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( rec @ X0 @ ( cons @ X1 @ X2 ) )
| ~ ( rec @ ( step @ X0 @ X1 ) @ X2 ) ),
inference(cnf,[status(esa)],[axiom_049]) ).
thf(zip_derived_cl187,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( rec @ ( x @ ( y @ ( step @ X2 @ X1 ) @ X0 ) @ nil2 ) @ X3 )
| ( eps2 @ X2 )
| ( rec @ ( y @ X2 @ X0 ) @ ( cons @ X1 @ X3 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl49,zip_derived_cl54]) ).
thf(zip_derived_cl729,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( rec @ ( x @ ( y @ eps @ X1 ) @ nil2 ) @ X0 )
| ( X3 != X2 )
| ( rec @ ( y @ ( atom @ X3 ) @ X1 ) @ ( cons @ X2 @ X0 ) )
| ( eps2 @ ( atom @ X3 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl45,zip_derived_cl187]) ).
thf(axiom_036,axiom,
! [X: $i] :
( ( X != eps )
=> ( ( X
!= ( x @ ( proj1 @ X ) @ ( proj2 @ X ) ) )
=> ( ( X
!= ( y @ ( proj12 @ X ) @ ( proj22 @ X ) ) )
=> ( ( X
!= ( star @ ( proj1Star @ X ) ) )
=> ~ ( eps2 @ X ) ) ) ) ) ).
thf(zip_derived_cl35,plain,
! [X0: $i] :
( ( X0
= ( x @ ( proj1 @ X0 ) @ ( proj2 @ X0 ) ) )
| ( X0
= ( star @ ( proj1Star @ X0 ) ) )
| ~ ( eps2 @ X0 )
| ( X0
= ( y @ ( proj12 @ X0 ) @ ( proj22 @ X0 ) ) )
| ( X0 = eps ) ),
inference(cnf,[status(esa)],[axiom_036]) ).
thf(axiom_023,axiom,
! [X: $i,X2: $i,X3: $i] :
( ( atom @ X )
!= ( y @ X2 @ X3 ) ) ).
thf(zip_derived_cl22,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( atom @ X2 )
!= ( y @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[axiom_023]) ).
thf(zip_derived_cl167,plain,
! [X0: $i,X1: $i] :
( ( ( atom @ X1 )
!= X0 )
| ( X0 = eps )
| ~ ( eps2 @ X0 )
| ( X0
= ( star @ ( proj1Star @ X0 ) ) )
| ( X0
= ( x @ ( proj1 @ X0 ) @ ( proj2 @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl22]) ).
thf(zip_derived_cl524,plain,
! [X0: $i] :
( ( ( atom @ X0 )
= ( x @ ( proj1 @ ( atom @ X0 ) ) @ ( proj2 @ ( atom @ X0 ) ) ) )
| ( ( atom @ X0 )
= ( star @ ( proj1Star @ ( atom @ X0 ) ) ) )
| ~ ( eps2 @ ( atom @ X0 ) )
| ( ( atom @ X0 )
= eps ) ),
inference(eq_res,[status(thm)],[zip_derived_cl167]) ).
thf(axiom_018,axiom,
! [X: $i] :
( eps
!= ( atom @ X ) ) ).
thf(zip_derived_cl17,plain,
! [X0: $i] :
( eps
!= ( atom @ X0 ) ),
inference(cnf,[status(esa)],[axiom_018]) ).
thf(axiom_024,axiom,
! [X: $i,X2: $i] :
( ( atom @ X )
!= ( star @ X2 ) ) ).
thf(zip_derived_cl23,plain,
! [X0: $i,X1: $i] :
( ( atom @ X1 )
!= ( star @ X0 ) ),
inference(cnf,[status(esa)],[axiom_024]) ).
thf(axiom_022,axiom,
! [X: $i,X2: $i,X3: $i] :
( ( atom @ X )
!= ( x @ X2 @ X3 ) ) ).
thf(zip_derived_cl21,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( atom @ X2 )
!= ( x @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[axiom_022]) ).
thf(zip_derived_cl525,plain,
! [X0: $i] :
~ ( eps2 @ ( atom @ X0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl524,zip_derived_cl17,zip_derived_cl23,zip_derived_cl21]) ).
thf(zip_derived_cl738,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( rec @ ( x @ ( y @ eps @ X1 ) @ nil2 ) @ X0 )
| ( X3 != X2 )
| ( rec @ ( y @ ( atom @ X3 ) @ X1 ) @ ( cons @ X2 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl729,zip_derived_cl525]) ).
thf(goal_050,conjecture,
? [P: $i] : ( rec @ P @ ( cons @ a @ ( cons @ b @ ( cons @ b @ ( cons @ a @ nil ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ? [P: $i] : ( rec @ P @ ( cons @ a @ ( cons @ b @ ( cons @ b @ ( cons @ a @ nil ) ) ) ) ),
inference('cnf.neg',[status(esa)],[goal_050]) ).
thf(zip_derived_cl55,plain,
! [X0: $i] :
~ ( rec @ X0 @ ( cons @ a @ ( cons @ b @ ( cons @ b @ ( cons @ a @ nil ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1653,plain,
! [X0: $i,X1: $i] :
( ( X1 != a )
| ~ ( rec @ ( x @ ( y @ eps @ X0 ) @ nil2 ) @ ( cons @ b @ ( cons @ b @ ( cons @ a @ nil ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl738,zip_derived_cl55]) ).
thf(zip_derived_cl1718,plain,
! [X0: $i,X1: $i] :
( ~ ( eps2 @ ( step @ ( step @ ( step @ ( x @ ( y @ eps @ X0 ) @ nil2 ) @ b ) @ b ) @ a ) )
| ( X1 != a ) ),
inference('sup-',[status(thm)],[zip_derived_cl292,zip_derived_cl1653]) ).
thf(axiom_044,axiom,
! [Y: $i,P: $i,Q: $i] :
( ( step @ ( x @ P @ Q ) @ Y )
= ( x @ ( step @ P @ Y ) @ ( step @ Q @ Y ) ) ) ).
thf(zip_derived_cl47,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( step @ ( x @ X0 @ X2 ) @ X1 )
= ( x @ ( step @ X0 @ X1 ) @ ( step @ X2 @ X1 ) ) ),
inference(cnf,[status(esa)],[axiom_044]) ).
thf(zip_derived_cl47_020,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( step @ ( x @ X0 @ X2 ) @ X1 )
= ( x @ ( step @ X0 @ X1 ) @ ( step @ X2 @ X1 ) ) ),
inference(cnf,[status(esa)],[axiom_044]) ).
thf(zip_derived_cl47_021,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( step @ ( x @ X0 @ X2 ) @ X1 )
= ( x @ ( step @ X0 @ X1 ) @ ( step @ X2 @ X1 ) ) ),
inference(cnf,[status(esa)],[axiom_044]) ).
thf(zip_derived_cl1719,plain,
! [X0: $i,X1: $i] :
( ~ ( eps2 @ ( x @ ( step @ ( step @ ( step @ ( y @ eps @ X0 ) @ b ) @ b ) @ a ) @ ( step @ ( step @ ( step @ nil2 @ b ) @ b ) @ a ) ) )
| ( X1 != a ) ),
inference(demod,[status(thm)],[zip_derived_cl1718,zip_derived_cl47,zip_derived_cl47,zip_derived_cl47]) ).
thf(zip_derived_cl1757,plain,
! [X0: $i,X1: $i] :
( ~ ( eps2 @ ( step @ ( step @ ( step @ ( y @ eps @ X0 ) @ b ) @ b ) @ a ) )
| ( X1 != a ) ),
inference('sup-',[status(thm)],[zip_derived_cl38,zip_derived_cl1719]) ).
thf(zip_derived_cl1781,plain,
! [X0: $i,X1: $i] :
( ~ ( eps2 @ ( step @ ( step @ ( x @ ( y @ ( step @ eps @ b ) @ X0 ) @ ( step @ X0 @ b ) ) @ b ) @ a ) )
| ~ ( eps2 @ eps )
| ( X1 != a ) ),
inference('sup-',[status(thm)],[zip_derived_cl48,zip_derived_cl1757]) ).
thf(zip_derived_cl47_022,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( step @ ( x @ X0 @ X2 ) @ X1 )
= ( x @ ( step @ X0 @ X1 ) @ ( step @ X2 @ X1 ) ) ),
inference(cnf,[status(esa)],[axiom_044]) ).
thf(zip_derived_cl47_023,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( step @ ( x @ X0 @ X2 ) @ X1 )
= ( x @ ( step @ X0 @ X1 ) @ ( step @ X2 @ X1 ) ) ),
inference(cnf,[status(esa)],[axiom_044]) ).
thf(zip_derived_cl36_024,plain,
eps2 @ eps,
inference(cnf,[status(esa)],[axiom_037]) ).
thf(zip_derived_cl1787,plain,
! [X0: $i,X1: $i] :
( ~ ( eps2 @ ( x @ ( step @ ( step @ ( y @ ( step @ eps @ b ) @ X0 ) @ b ) @ a ) @ ( step @ ( step @ ( step @ X0 @ b ) @ b ) @ a ) ) )
| ( X1 != a ) ),
inference(demod,[status(thm)],[zip_derived_cl1781,zip_derived_cl47,zip_derived_cl47,zip_derived_cl36]) ).
thf(zip_derived_cl1828,plain,
! [X0: $i,X1: $i] :
( ~ ( eps2 @ ( step @ ( step @ ( step @ X0 @ b ) @ b ) @ a ) )
| ( X1 != a ) ),
inference('sup-',[status(thm)],[zip_derived_cl39,zip_derived_cl1787]) ).
thf(zip_derived_cl1858,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( eps2 @ ( step @ ( step @ ( x @ ( y @ ( step @ X1 @ b ) @ X0 ) @ nil2 ) @ b ) @ a ) )
| ( eps2 @ X1 )
| ( X2 != a ) ),
inference('sup-',[status(thm)],[zip_derived_cl49,zip_derived_cl1828]) ).
thf(zip_derived_cl47_025,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( step @ ( x @ X0 @ X2 ) @ X1 )
= ( x @ ( step @ X0 @ X1 ) @ ( step @ X2 @ X1 ) ) ),
inference(cnf,[status(esa)],[axiom_044]) ).
thf(zip_derived_cl47_026,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( step @ ( x @ X0 @ X2 ) @ X1 )
= ( x @ ( step @ X0 @ X1 ) @ ( step @ X2 @ X1 ) ) ),
inference(cnf,[status(esa)],[axiom_044]) ).
thf(zip_derived_cl1863,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( eps2 @ ( x @ ( step @ ( step @ ( y @ ( step @ X1 @ b ) @ X0 ) @ b ) @ a ) @ ( step @ ( step @ nil2 @ b ) @ a ) ) )
| ( eps2 @ X1 )
| ( X2 != a ) ),
inference(demod,[status(thm)],[zip_derived_cl1858,zip_derived_cl47,zip_derived_cl47]) ).
thf(zip_derived_cl6136,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( eps2 @ ( step @ ( step @ ( y @ ( step @ X1 @ b ) @ X0 ) @ b ) @ a ) )
| ( X2 != a )
| ( eps2 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl38,zip_derived_cl1863]) ).
thf(zip_derived_cl6163,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( eps2 @ ( step @ ( step @ ( y @ eps @ X0 ) @ b ) @ a ) )
| ( X1 != b )
| ( eps2 @ ( atom @ X1 ) )
| ( X2 != a ) ),
inference('sup-',[status(thm)],[zip_derived_cl45,zip_derived_cl6136]) ).
thf(zip_derived_cl525_027,plain,
! [X0: $i] :
~ ( eps2 @ ( atom @ X0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl524,zip_derived_cl17,zip_derived_cl23,zip_derived_cl21]) ).
thf(zip_derived_cl6175,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 != a )
| ( X1 != b )
| ~ ( eps2 @ ( step @ ( step @ ( y @ eps @ X0 ) @ b ) @ a ) ) ),
inference(clc,[status(thm)],[zip_derived_cl6163,zip_derived_cl525]) ).
thf(zip_derived_cl6178,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( eps2 @ ( step @ ( x @ ( y @ ( step @ eps @ b ) @ X0 ) @ ( step @ X0 @ b ) ) @ a ) )
| ~ ( eps2 @ eps )
| ( X1 != b )
| ( X2 != a ) ),
inference('sup-',[status(thm)],[zip_derived_cl48,zip_derived_cl6175]) ).
thf(zip_derived_cl47_028,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( step @ ( x @ X0 @ X2 ) @ X1 )
= ( x @ ( step @ X0 @ X1 ) @ ( step @ X2 @ X1 ) ) ),
inference(cnf,[status(esa)],[axiom_044]) ).
thf(zip_derived_cl36_029,plain,
eps2 @ eps,
inference(cnf,[status(esa)],[axiom_037]) ).
thf(zip_derived_cl6183,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( eps2 @ ( x @ ( step @ ( y @ ( step @ eps @ b ) @ X0 ) @ a ) @ ( step @ ( step @ X0 @ b ) @ a ) ) )
| ( X1 != b )
| ( X2 != a ) ),
inference(demod,[status(thm)],[zip_derived_cl6178,zip_derived_cl47,zip_derived_cl36]) ).
thf(zip_derived_cl6190,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( eps2 @ ( step @ ( step @ X0 @ b ) @ a ) )
| ( X1 != a )
| ( X2 != b ) ),
inference('sup-',[status(thm)],[zip_derived_cl39,zip_derived_cl6183]) ).
thf(zip_derived_cl6217,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( eps2 @ ( step @ ( x @ ( y @ ( step @ X1 @ b ) @ X0 ) @ nil2 ) @ a ) )
| ( eps2 @ X1 )
| ( X2 != b )
| ( X3 != a ) ),
inference('sup-',[status(thm)],[zip_derived_cl49,zip_derived_cl6190]) ).
thf(zip_derived_cl47_030,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( step @ ( x @ X0 @ X2 ) @ X1 )
= ( x @ ( step @ X0 @ X1 ) @ ( step @ X2 @ X1 ) ) ),
inference(cnf,[status(esa)],[axiom_044]) ).
thf(zip_derived_cl6222,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( eps2 @ ( x @ ( step @ ( y @ ( step @ X1 @ b ) @ X0 ) @ a ) @ ( step @ nil2 @ a ) ) )
| ( eps2 @ X1 )
| ( X2 != b )
| ( X3 != a ) ),
inference(demod,[status(thm)],[zip_derived_cl6217,zip_derived_cl47]) ).
thf(zip_derived_cl8401,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( eps2 @ ( step @ ( y @ ( step @ X1 @ b ) @ X0 ) @ a ) )
| ( X2 != a )
| ( X3 != b )
| ( eps2 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl38,zip_derived_cl6222]) ).
thf(zip_derived_cl8423,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( eps2 @ ( step @ ( y @ eps @ X0 ) @ a ) )
| ( X1 != b )
| ( eps2 @ ( atom @ X1 ) )
| ( X2 != b )
| ( X3 != a ) ),
inference('sup-',[status(thm)],[zip_derived_cl45,zip_derived_cl8401]) ).
thf(zip_derived_cl8432,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( eps2 @ ( step @ ( y @ eps @ X0 ) @ a ) )
| ( X1 != a )
| ( eps2 @ ( atom @ X2 ) )
| ( X2 != b ) ),
inference(condensation,[status(thm)],[zip_derived_cl8423]) ).
thf(zip_derived_cl525_031,plain,
! [X0: $i] :
~ ( eps2 @ ( atom @ X0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl524,zip_derived_cl17,zip_derived_cl23,zip_derived_cl21]) ).
thf(zip_derived_cl8433,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 != b )
| ( X1 != a )
| ~ ( eps2 @ ( step @ ( y @ eps @ X0 ) @ a ) ) ),
inference(clc,[status(thm)],[zip_derived_cl8432,zip_derived_cl525]) ).
thf(zip_derived_cl8435,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( eps2 @ ( x @ ( y @ ( step @ eps @ a ) @ X0 ) @ ( step @ X0 @ a ) ) )
| ~ ( eps2 @ eps )
| ( X1 != a )
| ( X2 != b ) ),
inference('sup-',[status(thm)],[zip_derived_cl48,zip_derived_cl8433]) ).
thf(zip_derived_cl36_032,plain,
eps2 @ eps,
inference(cnf,[status(esa)],[axiom_037]) ).
thf(zip_derived_cl8439,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( eps2 @ ( x @ ( y @ ( step @ eps @ a ) @ X0 ) @ ( step @ X0 @ a ) ) )
| ( X1 != a )
| ( X2 != b ) ),
inference(demod,[status(thm)],[zip_derived_cl8435,zip_derived_cl36]) ).
thf(zip_derived_cl8442,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( eps2 @ ( step @ X0 @ a ) )
| ( X1 != b )
| ( X2 != a ) ),
inference('sup-',[status(thm)],[zip_derived_cl39,zip_derived_cl8439]) ).
thf(zip_derived_cl8452,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 != a )
| ( X1 != a )
| ( X2 != b ) ),
inference('sup-',[status(thm)],[zip_derived_cl255,zip_derived_cl8442]) ).
thf(zip_derived_cl8466,plain,
! [X0: $i,X1: $i] :
( ( X0 != b )
| ( X1 != a ) ),
inference(condensation,[status(thm)],[zip_derived_cl8452]) ).
thf(zip_derived_cl8467,plain,
! [X0: $i] : ( X0 != a ),
inference(eq_res,[status(thm)],[zip_derived_cl8466]) ).
thf(zip_derived_cl8468,plain,
$false,
inference(eq_res,[status(thm)],[zip_derived_cl8467]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SWX210+1 : TPTP v9.3.0. Released v9.3.0.
% 0.12/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.r9iYmPSAy3 true
% 0.16/0.35 % Computer : n029.cluster.edu
% 0.16/0.35 % Model : x86_64 x86_64
% 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.35 % Memory : 8042.1875MB
% 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.35 % CPULimit : 300
% 0.16/0.35 % WCLimit : 300
% 0.16/0.35 % DateTime : Tue May 5 11:47:59 EDT 2026
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.36 % Number of cores: 8
% 0.13/0.36 % Python version: Python 3.6.8
% 0.13/0.36 % Running in FO mode
% 0.53/0.66 % Total configuration time : 435
% 0.53/0.66 % Estimated wc time : 1092
% 0.53/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 16.16/3.00 % Solved by fo/fo3_bce.sh.
% 16.16/3.00 % BCE start: 56
% 16.16/3.00 % BCE eliminated: 0
% 16.16/3.00 % PE start: 56
% 16.16/3.00 logic: eq
% 16.16/3.00 % PE eliminated: 0
% 16.16/3.00 % done 1621 iterations in 2.224s
% 16.16/3.00 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 16.16/3.00 % SZS output start Refutation
% See solution above
% 16.16/3.00
% 16.16/3.00
% 16.16/3.01 % Terminating...
% 17.01/3.08 % Runner terminated.
% 17.01/3.10 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------