%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWX221+1 : TPTP v9.3.0. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.VL6zP3yzdD true
% Computer : n006.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 07:08:51 PM UTC 2026
% Result : Theorem 12.08s 2.36s
% Output : Refutation 12.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 11
% Syntax : Number of formulae : 67 ( 22 unt; 0 typ; 0 def)
% Number of atoms : 141 ( 35 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 993 ( 91 ~; 63 |; 4 &; 828 @)
% ( 5 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 10 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 18 ( 16 usr; 6 con; 0-3 aty)
% Number of variables : 177 ( 0 ^; 175 !; 2 ?; 177 :)
% 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(proj1Lam_type,type,
proj1Lam: $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(app_type,type,
app: $i > $i > $i > $i ).
thf(suc_type,type,
suc: $i > $i ).
thf(cons_type,type,
cons: $i > $i > $i ).
thf(c_type,type,
c: $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_030,axiom,
! [Z: $i,Xs: $i,N: $i] :
( ( index @ ( cons @ Z @ Xs ) @ ( suc @ N ) )
= ( index @ Xs @ N ) ) ).
thf(zip_derived_cl32,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( index @ ( cons @ X2 @ X0 ) @ ( suc @ X1 ) )
= ( index @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[axiom_030]) ).
thf(zip_derived_cl32_001,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( index @ ( cons @ X2 @ X0 ) @ ( suc @ X1 ) )
= ( index @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[axiom_030]) ).
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(zip_derived_cl31_002,plain,
! [X0: $i,X1: $i] :
( ( index @ ( cons @ X0 @ X1 ) @ zero )
= ( just @ X0 ) ),
inference(cnf,[status(esa)],[axiom_029]) ).
thf(zip_derived_cl112_003,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_031,axiom,
! [X: $i,Z: $i,F: $i,X2: $i,Tx: $i] :
( ( tc @ X @ ( app @ F @ X2 @ Tx ) @ Z )
<=> ( ( tc @ X @ F @ ( arr @ Tx @ Z ) )
& ( tc @ X @ X2 @ Tx ) ) ) ).
thf(zip_derived_cl35,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( tc @ X0 @ ( app @ X1 @ X2 @ X3 ) @ X4 )
| ~ ( tc @ X0 @ X2 @ X3 )
| ~ ( tc @ X0 @ X1 @ ( arr @ X3 @ X4 ) ) ),
inference(cnf,[status(esa)],[axiom_031]) ).
thf(zip_derived_cl31_004,plain,
! [X0: $i,X1: $i] :
( ( index @ ( cons @ X0 @ X1 ) @ zero )
= ( just @ X0 ) ),
inference(cnf,[status(esa)],[axiom_029]) ).
thf(zip_derived_cl32_005,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( index @ ( cons @ X2 @ X0 ) @ ( suc @ X1 ) )
= ( index @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[axiom_030]) ).
thf(zip_derived_cl112_006,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_024,axiom,
! [Y: $i,Z: $i,X2: $i] :
( ( Y
!= ( lam @ ( proj1Lam @ Y ) ) )
=> ( ( nf @ ( app @ Y @ Z @ X2 ) )
<=> ( ( nf @ Y )
& ( nf @ Z ) ) ) ) ).
thf(zip_derived_cl23,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0
= ( lam @ ( proj1Lam @ X0 ) ) )
| ( nf @ ( app @ X0 @ X1 @ X2 ) )
| ~ ( nf @ X1 )
| ~ ( nf @ X0 ) ),
inference(cnf,[status(esa)],[axiom_024]) ).
thf(axiom_023,axiom,
! [X: $i,X2: $i] :
( ( lam @ X )
!= ( var @ X2 ) ) ).
thf(zip_derived_cl22,plain,
! [X0: $i,X1: $i] :
( ( lam @ X1 )
!= ( var @ X0 ) ),
inference(cnf,[status(esa)],[axiom_023]) ).
thf(zip_derived_cl122,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( nf @ X0 )
| ~ ( nf @ X2 )
| ( nf @ ( app @ X0 @ X2 @ X3 ) )
| ( X0
!= ( var @ X1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl23,zip_derived_cl22]) ).
thf(zip_derived_cl147,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( nf @ ( app @ ( var @ X2 ) @ X1 @ X0 ) )
| ~ ( nf @ X1 )
| ~ ( nf @ ( var @ X2 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl122]) ).
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_cl148,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( nf @ ( app @ ( var @ X2 ) @ X1 @ X0 ) )
| ~ ( nf @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl147,zip_derived_cl29]) ).
thf(zip_derived_cl23_007,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0
= ( lam @ ( proj1Lam @ X0 ) ) )
| ( nf @ ( app @ X0 @ X1 @ X2 ) )
| ~ ( nf @ X1 )
| ~ ( nf @ X0 ) ),
inference(cnf,[status(esa)],[axiom_024]) ).
thf(axiom_021,axiom,
! [X: $i,X2: $i,X3: $i,X4: $i] :
( ( app @ X @ X2 @ X3 )
!= ( lam @ X4 ) ) ).
thf(zip_derived_cl20,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( app @ X1 @ X2 @ X3 )
!= ( lam @ X0 ) ),
inference(cnf,[status(esa)],[axiom_021]) ).
thf(zip_derived_cl118,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ( nf @ X0 )
| ~ ( nf @ X4 )
| ( nf @ ( app @ X0 @ X4 @ X5 ) )
| ( ( app @ X3 @ X2 @ X1 )
!= X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl23,zip_derived_cl20]) ).
thf(zip_derived_cl176,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( nf @ ( app @ ( app @ X4 @ X3 @ X2 ) @ X1 @ X0 ) )
| ~ ( nf @ X1 )
| ~ ( nf @ ( app @ X4 @ X3 @ X2 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl118]) ).
thf(zip_derived_cl35_008,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( tc @ X0 @ ( app @ X1 @ X2 @ X3 ) @ X4 )
| ~ ( tc @ X0 @ X2 @ X3 )
| ~ ( tc @ X0 @ X1 @ ( arr @ X3 @ X4 ) ) ),
inference(cnf,[status(esa)],[axiom_031]) ).
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_009,plain,
! [X0: $i] :
( ( nf @ ( lam @ X0 ) )
| ~ ( nf @ X0 ) ),
inference(cnf,[status(esa)],[axiom_026]) ).
thf(zip_derived_cl38_010,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_011,plain,
! [X0: $i] :
( ( nf @ ( lam @ X0 ) )
| ~ ( nf @ X0 ) ),
inference(cnf,[status(esa)],[axiom_026]) ).
thf(zip_derived_cl38_012,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 @ ( arr @ a @ ( arr @ b @ c ) ) @ ( arr @ b @ ( arr @ a @ c ) ) ) )
& ( nf @ E ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ? [E: $i] :
( ( tc @ nil @ E @ ( arr @ ( arr @ a @ ( arr @ b @ c ) ) @ ( arr @ b @ ( arr @ a @ c ) ) ) )
& ( nf @ E ) ),
inference('cnf.neg',[status(esa)],[goal_036]) ).
thf(zip_derived_cl42,plain,
! [X0: $i] :
( ~ ( tc @ nil @ X0 @ ( arr @ ( arr @ a @ ( arr @ b @ c ) ) @ ( arr @ b @ ( arr @ a @ c ) ) ) )
| ~ ( nf @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl150,plain,
! [X0: $i] :
( ~ ( tc @ ( cons @ ( arr @ a @ ( arr @ b @ c ) ) @ nil ) @ X0 @ ( arr @ b @ ( arr @ a @ c ) ) )
| ~ ( 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 @ ( arr @ a @ ( arr @ b @ c ) ) @ nil ) @ X0 @ ( arr @ b @ ( arr @ a @ c ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl28,zip_derived_cl150]) ).
thf(zip_derived_cl167,plain,
! [X0: $i] :
( ~ ( tc @ ( cons @ b @ ( cons @ ( arr @ a @ ( arr @ b @ c ) ) @ nil ) ) @ X0 @ ( arr @ a @ c ) )
| ~ ( 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 @ ( arr @ a @ ( arr @ b @ c ) ) @ nil ) ) @ X0 @ ( arr @ a @ c ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl28,zip_derived_cl167]) ).
thf(zip_derived_cl182,plain,
! [X0: $i] :
( ~ ( tc @ ( cons @ a @ ( cons @ b @ ( cons @ ( arr @ a @ ( arr @ b @ c ) ) @ nil ) ) ) @ X0 @ c )
| ~ ( nf @ ( lam @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl38,zip_derived_cl177]) ).
thf(zip_derived_cl203,plain,
! [X0: $i] :
( ~ ( nf @ X0 )
| ~ ( tc @ ( cons @ a @ ( cons @ b @ ( cons @ ( arr @ a @ ( arr @ b @ c ) ) @ nil ) ) ) @ X0 @ c ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl28,zip_derived_cl182]) ).
thf(zip_derived_cl206,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( tc @ ( cons @ a @ ( cons @ b @ ( cons @ ( arr @ a @ ( arr @ b @ c ) ) @ nil ) ) ) @ X2 @ ( arr @ X0 @ c ) )
| ~ ( tc @ ( cons @ a @ ( cons @ b @ ( cons @ ( arr @ a @ ( arr @ b @ c ) ) @ nil ) ) ) @ X1 @ X0 )
| ~ ( nf @ ( app @ X2 @ X1 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl203]) ).
thf(zip_derived_cl285,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( nf @ ( app @ X4 @ X3 @ X2 ) )
| ~ ( nf @ X1 )
| ~ ( tc @ ( cons @ a @ ( cons @ b @ ( cons @ ( arr @ a @ ( arr @ b @ c ) ) @ nil ) ) ) @ ( app @ X4 @ X3 @ X2 ) @ ( arr @ X0 @ c ) )
| ~ ( tc @ ( cons @ a @ ( cons @ b @ ( cons @ ( arr @ a @ ( arr @ b @ c ) ) @ nil ) ) ) @ X1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl176,zip_derived_cl206]) ).
thf(zip_derived_cl499,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( nf @ X1 )
| ~ ( nf @ X3 )
| ~ ( tc @ ( cons @ a @ ( cons @ b @ ( cons @ ( arr @ a @ ( arr @ b @ c ) ) @ nil ) ) ) @ ( app @ ( var @ X2 ) @ X1 @ X0 ) @ ( arr @ X4 @ c ) )
| ~ ( tc @ ( cons @ a @ ( cons @ b @ ( cons @ ( arr @ a @ ( arr @ b @ c ) ) @ nil ) ) ) @ X3 @ X4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl148,zip_derived_cl285]) ).
thf(zip_derived_cl1127,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ( index @ ( cons @ a @ ( cons @ b @ ( cons @ ( arr @ a @ ( arr @ b @ c ) ) @ nil ) ) ) @ X1 )
!= ( just @ X0 ) )
| ~ ( nf @ X2 )
| ~ ( nf @ ( var @ X1 ) )
| ~ ( tc @ ( cons @ a @ ( cons @ b @ ( cons @ ( arr @ a @ ( arr @ b @ c ) ) @ nil ) ) ) @ ( app @ ( var @ X4 ) @ X2 @ X3 ) @ ( arr @ X0 @ c ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl112,zip_derived_cl499]) ).
thf(zip_derived_cl29_013,plain,
! [X0: $i] : ( nf @ ( var @ X0 ) ),
inference(cnf,[status(esa)],[axiom_027]) ).
thf(zip_derived_cl1128,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ( index @ ( cons @ a @ ( cons @ b @ ( cons @ ( arr @ a @ ( arr @ b @ c ) ) @ nil ) ) ) @ X1 )
!= ( just @ X0 ) )
| ~ ( nf @ X2 )
| ~ ( tc @ ( cons @ a @ ( cons @ b @ ( cons @ ( arr @ a @ ( arr @ b @ c ) ) @ nil ) ) ) @ ( app @ ( var @ X4 ) @ X2 @ X3 ) @ ( arr @ X0 @ c ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1127,zip_derived_cl29]) ).
thf(zip_derived_cl2038,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ( index @ ( cons @ b @ ( cons @ ( arr @ a @ ( arr @ b @ c ) ) @ nil ) ) @ X0 )
!= ( just @ X1 ) )
| ~ ( nf @ X2 )
| ~ ( tc @ ( cons @ a @ ( cons @ b @ ( cons @ ( arr @ a @ ( arr @ b @ c ) ) @ nil ) ) ) @ ( app @ ( var @ X4 ) @ X2 @ X3 ) @ ( arr @ X1 @ c ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl32,zip_derived_cl1128]) ).
thf(zip_derived_cl2043,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( just @ b )
!= ( just @ X0 ) )
| ~ ( nf @ X1 )
| ~ ( tc @ ( cons @ a @ ( cons @ b @ ( cons @ ( arr @ a @ ( arr @ b @ c ) ) @ nil ) ) ) @ ( app @ ( var @ X3 ) @ X1 @ X2 ) @ ( arr @ X0 @ c ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl2038]) ).
thf(zip_derived_cl2050,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( tc @ ( cons @ a @ ( cons @ b @ ( cons @ ( arr @ a @ ( arr @ b @ c ) ) @ nil ) ) ) @ ( app @ ( var @ X2 ) @ X1 @ X0 ) @ ( arr @ b @ c ) )
| ~ ( nf @ X1 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl2043]) ).
thf(zip_derived_cl2090,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( tc @ ( cons @ a @ ( cons @ b @ ( cons @ ( arr @ a @ ( arr @ b @ c ) ) @ nil ) ) ) @ ( var @ X2 ) @ ( arr @ X0 @ ( arr @ b @ c ) ) )
| ~ ( tc @ ( cons @ a @ ( cons @ b @ ( cons @ ( arr @ a @ ( arr @ b @ c ) ) @ nil ) ) ) @ X1 @ X0 )
| ~ ( nf @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl2050]) ).
thf(zip_derived_cl2154,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( index @ ( cons @ a @ ( cons @ b @ ( cons @ ( arr @ a @ ( arr @ b @ c ) ) @ nil ) ) ) @ X1 )
!= ( just @ X0 ) )
| ~ ( tc @ ( cons @ a @ ( cons @ b @ ( cons @ ( arr @ a @ ( arr @ b @ c ) ) @ nil ) ) ) @ ( var @ X2 ) @ ( arr @ X0 @ ( arr @ b @ c ) ) )
| ~ ( nf @ ( var @ X1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl112,zip_derived_cl2090]) ).
thf(zip_derived_cl29_014,plain,
! [X0: $i] : ( nf @ ( var @ X0 ) ),
inference(cnf,[status(esa)],[axiom_027]) ).
thf(zip_derived_cl2155,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( index @ ( cons @ a @ ( cons @ b @ ( cons @ ( arr @ a @ ( arr @ b @ c ) ) @ nil ) ) ) @ X1 )
!= ( just @ X0 ) )
| ~ ( tc @ ( cons @ a @ ( cons @ b @ ( cons @ ( arr @ a @ ( arr @ b @ c ) ) @ nil ) ) ) @ ( var @ X2 ) @ ( arr @ X0 @ ( arr @ b @ c ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2154,zip_derived_cl29]) ).
thf(zip_derived_cl2157,plain,
! [X0: $i,X1: $i] :
( ( ( just @ a )
!= ( just @ X0 ) )
| ~ ( tc @ ( cons @ a @ ( cons @ b @ ( cons @ ( arr @ a @ ( arr @ b @ c ) ) @ nil ) ) ) @ ( var @ X1 ) @ ( arr @ X0 @ ( arr @ b @ c ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl2155]) ).
thf(zip_derived_cl2158,plain,
! [X0: $i] :
~ ( tc @ ( cons @ a @ ( cons @ b @ ( cons @ ( arr @ a @ ( arr @ b @ c ) ) @ nil ) ) ) @ ( var @ X0 ) @ ( arr @ a @ ( arr @ b @ c ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl2157]) ).
thf(zip_derived_cl2166,plain,
! [X0: $i] :
( ( index @ ( cons @ a @ ( cons @ b @ ( cons @ ( arr @ a @ ( arr @ b @ c ) ) @ nil ) ) ) @ X0 )
!= ( just @ ( arr @ a @ ( arr @ b @ c ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl112,zip_derived_cl2158]) ).
thf(zip_derived_cl2168,plain,
! [X0: $i] :
( ( index @ ( cons @ b @ ( cons @ ( arr @ a @ ( arr @ b @ c ) ) @ nil ) ) @ X0 )
!= ( just @ ( arr @ a @ ( arr @ b @ c ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl32,zip_derived_cl2166]) ).
thf(zip_derived_cl2173,plain,
! [X0: $i] :
( ( index @ ( cons @ ( arr @ a @ ( arr @ b @ c ) ) @ nil ) @ X0 )
!= ( just @ ( arr @ a @ ( arr @ b @ c ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl32,zip_derived_cl2168]) ).
thf(zip_derived_cl2176,plain,
( ( just @ ( arr @ a @ ( arr @ b @ c ) ) )
!= ( just @ ( arr @ a @ ( arr @ b @ c ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl2173]) ).
thf(zip_derived_cl2178,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl2176]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWX221+1 : TPTP v9.3.0. Released v9.3.0.
% 0.12/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.VL6zP3yzdD true
% 0.17/0.34 % Computer : n006.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 12:30:45 EDT 2026
% 0.17/0.34 % CPUTime :
% 0.17/0.34 % Running portfolio for 300 s
% 0.17/0.34 % File : /export/starexec/sandbox/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
% 0.46/0.62 % Total configuration time : 435
% 0.46/0.62 % Estimated wc time : 1092
% 0.46/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.69 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.71 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.73 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.73 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.73 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.75 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 12.08/2.36 % Solved by fo/fo6_bce.sh.
% 12.08/2.36 % BCE start: 43
% 12.08/2.36 % BCE eliminated: 0
% 12.08/2.36 % PE start: 43
% 12.08/2.36 logic: eq
% 12.08/2.36 % PE eliminated: 0
% 12.08/2.36 % done 997 iterations in 1.638s
% 12.08/2.36 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 12.08/2.36 % SZS output start Refutation
% See solution above
% 12.08/2.36
% 12.08/2.36
% 12.08/2.36 % Terminating...
% 12.75/2.46 % Runner terminated.
% 12.75/2.47 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------