%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWX240_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.2002cLbmxp 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 07:08:54 PM UTC 2026
% Result : Theorem 122.24s 18.08s
% Output : Refutation 122.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 26
% Syntax : Number of formulae : 141 ( 67 unt; 0 typ; 0 def)
% Number of atoms : 252 ( 92 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 1241 ( 77 ~; 93 |; 1 &;1053 @)
% ( 7 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 26 ( 24 usr; 7 con; 0-3 aty)
% Number of variables : 279 ( 0 ^; 275 !; 4 ?; 279 :)
% Comments :
%------------------------------------------------------------------------------
thf(nil_type,type,
nil: $i ).
thf(proj1Nand_type,type,
proj1Nand: $i > $i ).
thf(typeCorrect_type,type,
typeCorrect: $i > $o ).
thf(var_type,type,
var: $i > $i ).
thf(secret_type,type,
secret: $i > $o ).
thf(h_type,type,
h: $i ).
thf(fF_type,type,
fF: $i ).
thf(ifThenElse_type,type,
ifThenElse: $i > $i > $i > $i ).
thf(proj1Var_type,type,
proj1Var: $i > $i ).
thf(low_type,type,
low: $i > $i ).
thf(elem_type,type,
elem: $i > $i > $o ).
thf(nand_type,type,
nand: $i > $i > $i ).
thf(seq_type,type,
seq: $i > $i > $i ).
thf(l_type,type,
l: $i ).
thf(run_type,type,
run: $i > $i > $i ).
thf(high_type,type,
high: $i > $i ).
thf(cons_type,type,
cons: $i > $i > $i ).
thf(assign_type,type,
assign: $i > $i > $i ).
thf(proj2Nand_type,type,
proj2Nand: $i > $i ).
thf(skip_type,type,
skip: $i ).
thf(tail_type,type,
tail: $i > $i ).
thf(zero_type,type,
zero: $i ).
thf(eval_type,type,
eval: $i > $i > $o ).
thf(del_type,type,
del: $i > $i > $i ).
thf(axiom_040,axiom,
( l
= ( low @ zero ) ) ).
thf(zip_derived_cl46,plain,
( l
= ( low @ zero ) ),
inference(cnf,[status(esa)],[axiom_040]) ).
thf(axiom_037,axiom,
! [E: $i,X2: $i] :
( ( typeCorrect @ ( assign @ ( low @ X2 ) @ E ) )
<=> ~ ( secret @ E ) ) ).
thf(zip_derived_cl39,plain,
! [X0: $i,X1: $i] :
( ( typeCorrect @ ( assign @ ( low @ X0 ) @ X1 ) )
| ( secret @ X1 ) ),
inference(cnf,[status(esa)],[axiom_037]) ).
thf(zip_derived_cl104,plain,
! [X0: $i] :
( ( typeCorrect @ ( assign @ l @ X0 ) )
| ( secret @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl46,zip_derived_cl39]) ).
thf(axiom_048,axiom,
! [X: $i] :
( ( del @ X @ nil )
= nil ) ).
thf(zip_derived_cl59,plain,
! [X0: $i] :
( ( del @ X0 @ nil )
= nil ),
inference(cnf,[status(esa)],[axiom_048]) ).
thf(axiom_050,axiom,
! [X: $i,Z: $i,Ys: $i] :
( ( X != Z )
=> ( ( del @ X @ ( cons @ Z @ Ys ) )
= ( cons @ Z @ ( del @ X @ Ys ) ) ) ) ).
thf(zip_derived_cl61,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X0 )
| ( ( del @ X1 @ ( cons @ X0 @ X2 ) )
= ( cons @ X0 @ ( del @ X1 @ X2 ) ) ) ),
inference(cnf,[status(esa)],[axiom_050]) ).
thf(axiom_053,axiom,
! [X: $i,Z: $i,E: $i] :
( ~ ( eval @ X @ E )
=> ( ( run @ X @ ( assign @ Z @ E ) )
= ( del @ Z @ X ) ) ) ).
thf(zip_derived_cl64,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( run @ X1 @ ( assign @ X0 @ X2 ) )
= ( del @ X0 @ X1 ) )
| ( eval @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[axiom_053]) ).
thf(axiom_043,axiom,
! [X: $i,Z: $i,Xs: $i] :
( ( elem @ X @ ( cons @ Z @ Xs ) )
<=> ( ( Z = X )
| ( elem @ X @ Xs ) ) ) ).
thf(zip_derived_cl50,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( elem @ X0 @ ( cons @ X1 @ X2 ) )
| ( X1 != X0 ) ),
inference(cnf,[status(esa)],[axiom_043]) ).
thf(zip_derived_cl79,plain,
! [X0: $i,X1: $i] : ( elem @ X1 @ ( cons @ X1 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl50]) ).
thf(zip_derived_cl61_001,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X0 )
| ( ( del @ X1 @ ( cons @ X0 @ X2 ) )
= ( cons @ X0 @ ( del @ X1 @ X2 ) ) ) ),
inference(cnf,[status(esa)],[axiom_050]) ).
thf(axiom_049,axiom,
! [X: $i,Z: $i,Ys: $i] :
( ( X = Z )
=> ( ( del @ X @ ( cons @ Z @ Ys ) )
= ( del @ X @ Ys ) ) ) ).
thf(zip_derived_cl60,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 != X0 )
| ( ( del @ X1 @ ( cons @ X0 @ X2 ) )
= ( del @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[axiom_049]) ).
thf(zip_derived_cl170,plain,
! [X0: $i,X1: $i] :
( ( del @ X1 @ ( cons @ X1 @ X0 ) )
= ( del @ X1 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl60]) ).
thf(zip_derived_cl64_002,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( run @ X1 @ ( assign @ X0 @ X2 ) )
= ( del @ X0 @ X1 ) )
| ( eval @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[axiom_053]) ).
thf(goal_057,conjecture,
? [P: $i,S: $i] :
~ ( ( typeCorrect @ P )
=> ( ( elem @ l @ ( run @ S @ P ) )
<=> ( elem @ l @ ( run @ ( cons @ h @ S ) @ P ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ? [P: $i,S: $i] :
~ ( ( typeCorrect @ P )
=> ( ( elem @ l @ ( run @ S @ P ) )
<=> ( elem @ l @ ( run @ ( cons @ h @ S ) @ P ) ) ) ),
inference('cnf.neg',[status(esa)],[goal_057]) ).
thf(zip_derived_cl68,plain,
! [X0: $i,X1: $i] :
( ~ ( typeCorrect @ X0 )
| ( elem @ l @ ( run @ X1 @ X0 ) )
| ~ ( elem @ l @ ( run @ ( cons @ h @ X1 ) @ X0 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl168,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( elem @ l @ ( del @ X1 @ ( cons @ h @ X0 ) ) )
| ( eval @ ( cons @ h @ X0 ) @ X2 )
| ( elem @ l @ ( run @ X0 @ ( assign @ X1 @ X2 ) ) )
| ~ ( typeCorrect @ ( assign @ X1 @ X2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl64,zip_derived_cl68]) ).
thf(zip_derived_cl693,plain,
! [X0: $i,X1: $i] :
( ~ ( elem @ l @ ( del @ h @ X0 ) )
| ~ ( typeCorrect @ ( assign @ h @ X1 ) )
| ( elem @ l @ ( run @ X0 @ ( assign @ h @ X1 ) ) )
| ( eval @ ( cons @ h @ X0 ) @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl170,zip_derived_cl168]) ).
thf(axiom_041,axiom,
( h
= ( high @ zero ) ) ).
thf(zip_derived_cl47,plain,
( h
= ( high @ zero ) ),
inference(cnf,[status(esa)],[axiom_041]) ).
thf(axiom_036,axiom,
! [E: $i,Z: $i] : ( typeCorrect @ ( assign @ ( high @ Z ) @ E ) ) ).
thf(zip_derived_cl37,plain,
! [X0: $i,X1: $i] : ( typeCorrect @ ( assign @ ( high @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[axiom_036]) ).
thf(zip_derived_cl90,plain,
! [X0: $i] : ( typeCorrect @ ( assign @ h @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl47,zip_derived_cl37]) ).
thf(zip_derived_cl694,plain,
! [X0: $i,X1: $i] :
( ~ ( elem @ l @ ( del @ h @ X0 ) )
| ( elem @ l @ ( run @ X0 @ ( assign @ h @ X1 ) ) )
| ( eval @ ( cons @ h @ X0 ) @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl693,zip_derived_cl90]) ).
thf(zip_derived_cl722,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( elem @ l @ ( cons @ X1 @ ( del @ h @ X0 ) ) )
| ( h = X1 )
| ( eval @ ( cons @ h @ ( cons @ X1 @ X0 ) ) @ X2 )
| ( elem @ l @ ( run @ ( cons @ X1 @ X0 ) @ ( assign @ h @ X2 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl61,zip_derived_cl694]) ).
thf(zip_derived_cl56850,plain,
! [X0: $i,X1: $i] :
( ( elem @ l @ ( run @ ( cons @ l @ X0 ) @ ( assign @ h @ X1 ) ) )
| ( eval @ ( cons @ h @ ( cons @ l @ X0 ) ) @ X1 )
| ( h = l ) ),
inference('sup-',[status(thm)],[zip_derived_cl79,zip_derived_cl722]) ).
thf(zip_derived_cl46_003,plain,
( l
= ( low @ zero ) ),
inference(cnf,[status(esa)],[axiom_040]) ).
thf(zip_derived_cl47_004,plain,
( h
= ( high @ zero ) ),
inference(cnf,[status(esa)],[axiom_041]) ).
thf(axiom_008,axiom,
! [X: $i,X2: $i] :
( ( high @ X )
!= ( low @ X2 ) ) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i] :
( ( high @ X1 )
!= ( low @ X0 ) ),
inference(cnf,[status(esa)],[axiom_008]) ).
thf(zip_derived_cl70,plain,
! [X0: $i] :
( h
!= ( low @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl47,zip_derived_cl7]) ).
thf(zip_derived_cl72,plain,
h != l,
inference('sup-',[status(thm)],[zip_derived_cl46,zip_derived_cl70]) ).
thf(zip_derived_cl56863,plain,
! [X0: $i,X1: $i] :
( ( elem @ l @ ( run @ ( cons @ l @ X0 ) @ ( assign @ h @ X1 ) ) )
| ( eval @ ( cons @ h @ ( cons @ l @ X0 ) ) @ X1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl56850,zip_derived_cl72]) ).
thf(zip_derived_cl69,plain,
! [X0: $i,X1: $i] :
( ~ ( typeCorrect @ X0 )
| ( elem @ l @ ( run @ ( cons @ h @ X1 ) @ X0 ) )
| ~ ( elem @ l @ ( run @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl56883,plain,
! [X0: $i,X1: $i] :
( ( eval @ ( cons @ h @ ( cons @ l @ X1 ) ) @ X0 )
| ( elem @ l @ ( run @ ( cons @ h @ ( cons @ l @ X1 ) ) @ ( assign @ h @ X0 ) ) )
| ~ ( typeCorrect @ ( assign @ h @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl56863,zip_derived_cl69]) ).
thf(zip_derived_cl90_005,plain,
! [X0: $i] : ( typeCorrect @ ( assign @ h @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl47,zip_derived_cl37]) ).
thf(zip_derived_cl56930,plain,
! [X0: $i,X1: $i] :
( ( eval @ ( cons @ h @ ( cons @ l @ X1 ) ) @ X0 )
| ( elem @ l @ ( run @ ( cons @ h @ ( cons @ l @ X1 ) ) @ ( assign @ h @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl56883,zip_derived_cl90]) ).
thf(zip_derived_cl57382,plain,
! [X0: $i,X1: $i] :
( ( elem @ l @ ( del @ h @ ( cons @ h @ ( cons @ l @ X0 ) ) ) )
| ( eval @ ( cons @ h @ ( cons @ l @ X0 ) ) @ X1 )
| ( eval @ ( cons @ h @ ( cons @ l @ X0 ) ) @ X1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl64,zip_derived_cl56930]) ).
thf(zip_derived_cl170_006,plain,
! [X0: $i,X1: $i] :
( ( del @ X1 @ ( cons @ X1 @ X0 ) )
= ( del @ X1 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl60]) ).
thf(zip_derived_cl57409,plain,
! [X0: $i,X1: $i] :
( ( elem @ l @ ( del @ h @ ( cons @ l @ X0 ) ) )
| ( eval @ ( cons @ h @ ( cons @ l @ X0 ) ) @ X1 )
| ( eval @ ( cons @ h @ ( cons @ l @ X0 ) ) @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl57382,zip_derived_cl170]) ).
thf(zip_derived_cl57410,plain,
! [X0: $i,X1: $i] :
( ( eval @ ( cons @ h @ ( cons @ l @ X0 ) ) @ X1 )
| ( elem @ l @ ( del @ h @ ( cons @ l @ X0 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl57409]) ).
thf(axiom_046,axiom,
! [X: $i] :
~ ( eval @ X @ fF ) ).
thf(zip_derived_cl56,plain,
! [X0: $i] :
~ ( eval @ X0 @ fF ),
inference(cnf,[status(esa)],[axiom_046]) ).
thf(zip_derived_cl65925,plain,
! [X0: $i] : ( elem @ l @ ( del @ h @ ( cons @ l @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl57410,zip_derived_cl56]) ).
thf(axiom_047,axiom,
! [X: $i,Z: $i] :
( ( eval @ X @ ( var @ Z ) )
<=> ( elem @ Z @ X ) ) ).
thf(zip_derived_cl58,plain,
! [X0: $i,X1: $i] :
( ( eval @ X0 @ ( var @ X1 ) )
| ~ ( elem @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[axiom_047]) ).
thf(zip_derived_cl65954,plain,
! [X0: $i] : ( eval @ ( del @ h @ ( cons @ l @ X0 ) ) @ ( var @ l ) ),
inference('sup-',[status(thm)],[zip_derived_cl65925,zip_derived_cl58]) ).
thf(axiom_052,axiom,
! [X: $i,Z: $i,E: $i] :
( ( eval @ X @ E )
=> ( ( run @ X @ ( assign @ Z @ E ) )
= ( cons @ Z @ X ) ) ) ).
thf(zip_derived_cl63,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( run @ X1 @ ( assign @ X0 @ X2 ) )
= ( cons @ X0 @ X1 ) )
| ~ ( eval @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[axiom_052]) ).
thf(zip_derived_cl65988,plain,
! [X0: $i,X1: $i] :
( ( run @ ( del @ h @ ( cons @ l @ X0 ) ) @ ( assign @ X1 @ ( var @ l ) ) )
= ( cons @ X1 @ ( del @ h @ ( cons @ l @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl65954,zip_derived_cl63]) ).
thf(zip_derived_cl75537,plain,
! [X0: $i,X1: $i] :
( ( ( run @ ( cons @ l @ ( del @ h @ X0 ) ) @ ( assign @ X1 @ ( var @ l ) ) )
= ( cons @ X1 @ ( del @ h @ ( cons @ l @ X0 ) ) ) )
| ( h = l ) ),
inference('sup+',[status(thm)],[zip_derived_cl61,zip_derived_cl65988]) ).
thf(zip_derived_cl79_007,plain,
! [X0: $i,X1: $i] : ( elem @ X1 @ ( cons @ X1 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl50]) ).
thf(zip_derived_cl58_008,plain,
! [X0: $i,X1: $i] :
( ( eval @ X0 @ ( var @ X1 ) )
| ~ ( elem @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[axiom_047]) ).
thf(zip_derived_cl85,plain,
! [X0: $i,X1: $i] : ( eval @ ( cons @ X1 @ X0 ) @ ( var @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl79,zip_derived_cl58]) ).
thf(zip_derived_cl63_009,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( run @ X1 @ ( assign @ X0 @ X2 ) )
= ( cons @ X0 @ X1 ) )
| ~ ( eval @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[axiom_052]) ).
thf(zip_derived_cl174,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( run @ ( cons @ X0 @ X1 ) @ ( assign @ X2 @ ( var @ X0 ) ) )
= ( cons @ X2 @ ( cons @ X0 @ X1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl85,zip_derived_cl63]) ).
thf(zip_derived_cl75538,plain,
! [X0: $i,X1: $i] :
( ( ( cons @ X1 @ ( cons @ l @ ( del @ h @ X0 ) ) )
= ( cons @ X1 @ ( del @ h @ ( cons @ l @ X0 ) ) ) )
| ( h = l ) ),
inference(demod,[status(thm)],[zip_derived_cl75537,zip_derived_cl174]) ).
thf(zip_derived_cl72_010,plain,
h != l,
inference('sup-',[status(thm)],[zip_derived_cl46,zip_derived_cl70]) ).
thf(zip_derived_cl75539,plain,
! [X0: $i,X1: $i] :
( ( cons @ X1 @ ( cons @ l @ ( del @ h @ X0 ) ) )
= ( cons @ X1 @ ( del @ h @ ( cons @ l @ X0 ) ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl75538,zip_derived_cl72]) ).
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_cl75616,plain,
! [X0: $i,X1: $i] :
( ( tail @ ( cons @ X1 @ ( cons @ l @ ( del @ h @ X0 ) ) ) )
= ( del @ h @ ( cons @ l @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl75539,zip_derived_cl1]) ).
thf(zip_derived_cl1_011,plain,
! [X0: $i,X1: $i] :
( ( tail @ ( cons @ X1 @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[axiom_002]) ).
thf(zip_derived_cl75913,plain,
! [X0: $i] :
( ( cons @ l @ ( del @ h @ X0 ) )
= ( del @ h @ ( cons @ l @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl75616,zip_derived_cl1]) ).
thf(zip_derived_cl64_012,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( run @ X1 @ ( assign @ X0 @ X2 ) )
= ( del @ X0 @ X1 ) )
| ( eval @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[axiom_053]) ).
thf(axiom_054,axiom,
! [X: $i,P: $i,Q: $i] :
( ( run @ X @ ( seq @ P @ Q ) )
= ( run @ ( run @ X @ P ) @ Q ) ) ).
thf(zip_derived_cl65,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( run @ X0 @ ( seq @ X1 @ X2 ) )
= ( run @ ( run @ X0 @ X1 ) @ X2 ) ),
inference(cnf,[status(esa)],[axiom_054]) ).
thf(zip_derived_cl64_013,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( run @ X1 @ ( assign @ X0 @ X2 ) )
= ( del @ X0 @ X1 ) )
| ( eval @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[axiom_053]) ).
thf(zip_derived_cl169,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( run @ X3 @ ( seq @ X2 @ ( assign @ X1 @ X0 ) ) )
= ( del @ X1 @ ( run @ X3 @ X2 ) ) )
| ( eval @ ( run @ X3 @ X2 ) @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl65,zip_derived_cl64]) ).
thf(zip_derived_cl64_014,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( run @ X1 @ ( assign @ X0 @ X2 ) )
= ( del @ X0 @ X1 ) )
| ( eval @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[axiom_053]) ).
thf(zip_derived_cl65_015,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( run @ X0 @ ( seq @ X1 @ X2 ) )
= ( run @ ( run @ X0 @ X1 ) @ X2 ) ),
inference(cnf,[status(esa)],[axiom_054]) ).
thf(zip_derived_cl166,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( run @ X0 @ ( seq @ ( assign @ X1 @ X3 ) @ X2 ) )
= ( run @ ( del @ X1 @ X0 ) @ X2 ) )
| ( eval @ X0 @ X3 ) ),
inference('sup+',[status(thm)],[zip_derived_cl64,zip_derived_cl65]) ).
thf(zip_derived_cl654,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ( del @ X3 @ ( run @ X2 @ ( assign @ X1 @ X0 ) ) )
= ( run @ ( del @ X1 @ X2 ) @ ( assign @ X3 @ X4 ) ) )
| ( eval @ ( run @ X2 @ ( assign @ X1 @ X0 ) ) @ X4 )
| ( eval @ X2 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl169,zip_derived_cl166]) ).
thf(zip_derived_cl56_016,plain,
! [X0: $i] :
~ ( eval @ X0 @ fF ),
inference(cnf,[status(esa)],[axiom_046]) ).
thf(zip_derived_cl44850,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( eval @ X2 @ X0 )
| ( ( del @ X3 @ ( run @ X2 @ ( assign @ X1 @ X0 ) ) )
= ( run @ ( del @ X1 @ X2 ) @ ( assign @ X3 @ fF ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl654,zip_derived_cl56]) ).
thf(zip_derived_cl45103,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( del @ X2 @ ( del @ X1 @ X0 ) )
= ( run @ ( del @ X1 @ X0 ) @ ( assign @ X2 @ fF ) ) )
| ( eval @ X0 @ X3 )
| ( eval @ X0 @ X3 ) ),
inference('sup+',[status(thm)],[zip_derived_cl64,zip_derived_cl44850]) ).
thf(zip_derived_cl45144,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( eval @ X0 @ X3 )
| ( ( del @ X2 @ ( del @ X1 @ X0 ) )
= ( run @ ( del @ X1 @ X0 ) @ ( assign @ X2 @ fF ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl45103]) ).
thf(axiom_044,axiom,
! [X: $i,A: $i,B: $i] :
( ( eval @ X @ ( nand @ A @ B ) )
<=> ( ~ ( eval @ X @ A )
| ~ ( eval @ X @ B ) ) ) ).
thf(zip_derived_cl52,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( eval @ X0 @ X1 )
| ~ ( eval @ X0 @ X2 )
| ~ ( eval @ X0 @ ( nand @ X2 @ X1 ) ) ),
inference(cnf,[status(esa)],[axiom_044]) ).
thf(zip_derived_cl49901,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ( del @ X4 @ ( del @ X3 @ X2 ) )
= ( run @ ( del @ X3 @ X2 ) @ ( assign @ X4 @ fF ) ) )
| ~ ( eval @ X2 @ X1 )
| ~ ( eval @ X2 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl45144,zip_derived_cl52]) ).
thf(zip_derived_cl50455,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( del @ X2 @ ( del @ X1 @ X0 ) )
= ( run @ ( del @ X1 @ X0 ) @ ( assign @ X2 @ fF ) ) )
| ~ ( eval @ X0 @ X3 ) ),
inference(condensation,[status(thm)],[zip_derived_cl49901]) ).
thf(zip_derived_cl45144_017,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( eval @ X0 @ X3 )
| ( ( del @ X2 @ ( del @ X1 @ X0 ) )
= ( run @ ( del @ X1 @ X0 ) @ ( assign @ X2 @ fF ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl45103]) ).
thf(zip_derived_cl50456,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( del @ X2 @ ( del @ X1 @ X0 ) )
= ( run @ ( del @ X1 @ X0 ) @ ( assign @ X2 @ fF ) ) ),
inference(clc,[status(thm)],[zip_derived_cl50455,zip_derived_cl45144]) ).
thf(zip_derived_cl76243,plain,
! [X0: $i,X1: $i] :
( ( del @ X1 @ ( del @ h @ ( cons @ l @ X0 ) ) )
= ( run @ ( cons @ l @ ( del @ h @ X0 ) ) @ ( assign @ X1 @ fF ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl75913,zip_derived_cl50456]) ).
thf(zip_derived_cl75913_018,plain,
! [X0: $i] :
( ( cons @ l @ ( del @ h @ X0 ) )
= ( del @ h @ ( cons @ l @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl75616,zip_derived_cl1]) ).
thf(zip_derived_cl76264,plain,
! [X0: $i,X1: $i] :
( ( del @ X1 @ ( cons @ l @ ( del @ h @ X0 ) ) )
= ( run @ ( cons @ l @ ( del @ h @ X0 ) ) @ ( assign @ X1 @ fF ) ) ),
inference(demod,[status(thm)],[zip_derived_cl76243,zip_derived_cl75913]) ).
thf(zip_derived_cl76383,plain,
! [X0: $i] :
( ( del @ X0 @ ( cons @ l @ ( del @ h @ nil ) ) )
= ( run @ ( cons @ l @ nil ) @ ( assign @ X0 @ fF ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl59,zip_derived_cl76264]) ).
thf(zip_derived_cl59_019,plain,
! [X0: $i] :
( ( del @ X0 @ nil )
= nil ),
inference(cnf,[status(esa)],[axiom_048]) ).
thf(zip_derived_cl76391,plain,
! [X0: $i] :
( ( del @ X0 @ ( cons @ l @ nil ) )
= ( run @ ( cons @ l @ nil ) @ ( assign @ X0 @ fF ) ) ),
inference(demod,[status(thm)],[zip_derived_cl76383,zip_derived_cl59]) ).
thf(axiom_056,axiom,
! [X: $i,E2: $i,R: $i,Q2: $i] :
( ~ ( eval @ X @ E2 )
=> ( ( run @ X @ ( ifThenElse @ E2 @ R @ Q2 ) )
= ( run @ X @ Q2 ) ) ) ).
thf(zip_derived_cl67,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( eval @ X0 @ X1 )
| ( ( run @ X0 @ ( ifThenElse @ X1 @ X3 @ X2 ) )
= ( run @ X0 @ X2 ) ) ),
inference(cnf,[status(esa)],[axiom_056]) ).
thf(zip_derived_cl79_020,plain,
! [X0: $i,X1: $i] : ( elem @ X1 @ ( cons @ X1 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl50]) ).
thf(zip_derived_cl51,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( elem @ X0 @ ( cons @ X1 @ X2 ) )
| ~ ( elem @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[axiom_043]) ).
thf(zip_derived_cl80,plain,
! [X0: $i,X1: $i,X2: $i] : ( elem @ X1 @ ( cons @ X2 @ ( cons @ X1 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl79,zip_derived_cl51]) ).
thf(axiom_039,axiom,
! [C: $i,R: $i,Q2: $i] :
( ( typeCorrect @ ( ifThenElse @ C @ R @ Q2 ) )
<=> ( ( typeCorrect @ R )
& ( typeCorrect @ Q2 ) ) ) ).
thf(zip_derived_cl45,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( typeCorrect @ ( ifThenElse @ X0 @ X1 @ X2 ) )
| ~ ( typeCorrect @ X2 )
| ~ ( typeCorrect @ X1 ) ),
inference(cnf,[status(esa)],[axiom_039]) ).
thf(axiom_051,axiom,
! [X: $i] :
( ( run @ X @ skip )
= X ) ).
thf(zip_derived_cl62,plain,
! [X0: $i] :
( ( run @ X0 @ skip )
= X0 ),
inference(cnf,[status(esa)],[axiom_051]) ).
thf(zip_derived_cl85_021,plain,
! [X0: $i,X1: $i] : ( eval @ ( cons @ X1 @ X0 ) @ ( var @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl79,zip_derived_cl58]) ).
thf(axiom_055,axiom,
! [X: $i,E2: $i,R: $i,Q2: $i] :
( ( eval @ X @ E2 )
=> ( ( run @ X @ ( ifThenElse @ E2 @ R @ Q2 ) )
= ( run @ X @ R ) ) ) ).
thf(zip_derived_cl66,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( eval @ X0 @ X1 )
| ( ( run @ X0 @ ( ifThenElse @ X1 @ X2 @ X3 ) )
= ( run @ X0 @ X2 ) ) ),
inference(cnf,[status(esa)],[axiom_055]) ).
thf(zip_derived_cl226,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( run @ ( cons @ X0 @ X1 ) @ ( ifThenElse @ ( var @ X0 ) @ X3 @ X2 ) )
= ( run @ ( cons @ X0 @ X1 ) @ X3 ) ),
inference('sup-',[status(thm)],[zip_derived_cl85,zip_derived_cl66]) ).
thf(zip_derived_cl68_022,plain,
! [X0: $i,X1: $i] :
( ~ ( typeCorrect @ X0 )
| ( elem @ l @ ( run @ X1 @ X0 ) )
| ~ ( elem @ l @ ( run @ ( cons @ h @ X1 ) @ X0 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl468,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( elem @ l @ ( run @ ( cons @ h @ X1 ) @ X0 ) )
| ( elem @ l @ ( run @ X1 @ ( ifThenElse @ ( var @ h ) @ X0 @ X2 ) ) )
| ~ ( typeCorrect @ ( ifThenElse @ ( var @ h ) @ X0 @ X2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl226,zip_derived_cl68]) ).
thf(zip_derived_cl4202,plain,
! [X0: $i,X1: $i] :
( ~ ( elem @ l @ ( cons @ h @ X0 ) )
| ~ ( typeCorrect @ ( ifThenElse @ ( var @ h ) @ skip @ X1 ) )
| ( elem @ l @ ( run @ X0 @ ( ifThenElse @ ( var @ h ) @ skip @ X1 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl62,zip_derived_cl468]) ).
thf(zip_derived_cl4213,plain,
! [X0: $i,X1: $i] :
( ~ ( typeCorrect @ skip )
| ~ ( typeCorrect @ X0 )
| ( elem @ l @ ( run @ X1 @ ( ifThenElse @ ( var @ h ) @ skip @ X0 ) ) )
| ~ ( elem @ l @ ( cons @ h @ X1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl45,zip_derived_cl4202]) ).
thf(axiom_035,axiom,
typeCorrect @ skip ).
thf(zip_derived_cl36,plain,
typeCorrect @ skip,
inference(cnf,[status(esa)],[axiom_035]) ).
thf(zip_derived_cl4214,plain,
! [X0: $i,X1: $i] :
( ~ ( typeCorrect @ X0 )
| ( elem @ l @ ( run @ X1 @ ( ifThenElse @ ( var @ h ) @ skip @ X0 ) ) )
| ~ ( elem @ l @ ( cons @ h @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4213,zip_derived_cl36]) ).
thf(zip_derived_cl4215,plain,
! [X0: $i,X1: $i] :
( ( elem @ l @ ( run @ ( cons @ l @ X0 ) @ ( ifThenElse @ ( var @ h ) @ skip @ X1 ) ) )
| ~ ( typeCorrect @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl80,zip_derived_cl4214]) ).
thf(zip_derived_cl4237,plain,
! [X0: $i,X1: $i] :
( ( elem @ l @ ( run @ ( cons @ l @ X1 ) @ X0 ) )
| ( eval @ ( cons @ l @ X1 ) @ ( var @ h ) )
| ~ ( typeCorrect @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl67,zip_derived_cl4215]) ).
thf(zip_derived_cl57,plain,
! [X0: $i,X1: $i] :
( ( elem @ X0 @ X1 )
| ~ ( eval @ X1 @ ( var @ X0 ) ) ),
inference(cnf,[status(esa)],[axiom_047]) ).
thf(zip_derived_cl4269,plain,
! [X0: $i,X1: $i] :
( ~ ( typeCorrect @ X1 )
| ( elem @ l @ ( run @ ( cons @ l @ X0 ) @ X1 ) )
| ( elem @ h @ ( cons @ l @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl4237,zip_derived_cl57]) ).
thf(zip_derived_cl76548,plain,
! [X0: $i] :
( ( elem @ l @ ( del @ X0 @ ( cons @ l @ nil ) ) )
| ( elem @ h @ ( cons @ l @ nil ) )
| ~ ( typeCorrect @ ( assign @ X0 @ fF ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl76391,zip_derived_cl4269]) ).
thf(zip_derived_cl76627,plain,
( ( secret @ fF )
| ( elem @ h @ ( cons @ l @ nil ) )
| ( elem @ l @ ( del @ l @ ( cons @ l @ nil ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl104,zip_derived_cl76548]) ).
thf(axiom_031,axiom,
! [X: $i] :
( ( X
!= ( nand @ ( proj1Nand @ X ) @ ( proj2Nand @ X ) ) )
=> ( ( X
!= ( var @ ( proj1Var @ X ) ) )
=> ~ ( secret @ X ) ) ) ).
thf(zip_derived_cl30,plain,
! [X0: $i] :
( ( X0
= ( var @ ( proj1Var @ X0 ) ) )
| ~ ( secret @ X0 )
| ( X0
= ( nand @ ( proj1Nand @ X0 ) @ ( proj2Nand @ X0 ) ) ) ),
inference(cnf,[status(esa)],[axiom_031]) ).
thf(axiom_013,axiom,
! [X: $i,X2: $i] :
( ( nand @ X @ X2 )
!= fF ) ).
thf(zip_derived_cl12,plain,
! [X0: $i,X1: $i] :
( ( nand @ X0 @ X1 )
!= fF ),
inference(cnf,[status(esa)],[axiom_013]) ).
thf(zip_derived_cl112,plain,
! [X0: $i] :
( ( X0 != fF )
| ~ ( secret @ X0 )
| ( X0
= ( var @ ( proj1Var @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl30,zip_derived_cl12]) ).
thf(zip_derived_cl133,plain,
( ( fF
= ( var @ ( proj1Var @ fF ) ) )
| ~ ( secret @ fF ) ),
inference(eq_res,[status(thm)],[zip_derived_cl112]) ).
thf(axiom_017,axiom,
! [X: $i] :
( fF
!= ( var @ X ) ) ).
thf(zip_derived_cl16,plain,
! [X0: $i] :
( fF
!= ( var @ X0 ) ),
inference(cnf,[status(esa)],[axiom_017]) ).
thf(zip_derived_cl134,plain,
~ ( secret @ fF ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl133,zip_derived_cl16]) ).
thf(zip_derived_cl170_023,plain,
! [X0: $i,X1: $i] :
( ( del @ X1 @ ( cons @ X1 @ X0 ) )
= ( del @ X1 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl60]) ).
thf(zip_derived_cl59_024,plain,
! [X0: $i] :
( ( del @ X0 @ nil )
= nil ),
inference(cnf,[status(esa)],[axiom_048]) ).
thf(axiom_042,axiom,
! [X: $i] :
~ ( elem @ X @ nil ) ).
thf(zip_derived_cl48,plain,
! [X0: $i] :
~ ( elem @ X0 @ nil ),
inference(cnf,[status(esa)],[axiom_042]) ).
thf(zip_derived_cl76630,plain,
elem @ h @ ( cons @ l @ nil ),
inference(demod,[status(thm)],[zip_derived_cl76627,zip_derived_cl134,zip_derived_cl170,zip_derived_cl59,zip_derived_cl48]) ).
thf(zip_derived_cl49,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( elem @ X0 @ X1 )
| ( X2 = X0 )
| ~ ( elem @ X0 @ ( cons @ X2 @ X1 ) ) ),
inference(cnf,[status(esa)],[axiom_043]) ).
thf(zip_derived_cl76778,plain,
( ( l = h )
| ( elem @ h @ nil ) ),
inference('sup-',[status(thm)],[zip_derived_cl76630,zip_derived_cl49]) ).
thf(zip_derived_cl72_025,plain,
h != l,
inference('sup-',[status(thm)],[zip_derived_cl46,zip_derived_cl70]) ).
thf(zip_derived_cl76779,plain,
elem @ h @ nil,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl76778,zip_derived_cl72]) ).
thf(zip_derived_cl48_026,plain,
! [X0: $i] :
~ ( elem @ X0 @ nil ),
inference(cnf,[status(esa)],[axiom_042]) ).
thf(zip_derived_cl76782,plain,
$false,
inference('sup-',[status(thm)],[zip_derived_cl76779,zip_derived_cl48]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWX240_1 : TPTP v9.3.0. Released v9.3.0.
% 0.12/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.2002cLbmxp 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 13:24:01 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
% 0.17/0.34 % Python version: Python 3.6.8
% 0.17/0.35 % Running in FO mode
% 0.53/0.62 % Total configuration time : 435
% 0.53/0.62 % Estimated wc time : 1092
% 0.53/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.53/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.53/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.54/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 122.24/18.08 % Solved by fo/fo5.sh.
% 122.24/18.08 % done 3817 iterations in 17.311s
% 122.24/18.08 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 122.24/18.08 % SZS output start Refutation
% See solution above
% 122.24/18.08
% 122.24/18.08
% 122.24/18.08 % Terminating...
% 122.93/18.18 % Runner terminated.
% 122.93/18.19 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------