%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWX197+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.w5UUlz3ktf true
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 07:08:48 PM UTC 2026
% Result : Theorem 31.12s 5.13s
% Output : Refutation 31.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 15
% Syntax : Number of formulae : 61 ( 52 unt; 0 typ; 0 def)
% Number of atoms : 70 ( 69 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 533 ( 13 ~; 8 |; 0 &; 511 @)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 20 ( 18 usr; 5 con; 0-3 aty)
% Number of variables : 160 ( 0 ^; 158 !; 2 ?; 160 :)
% Comments :
%------------------------------------------------------------------------------
thf(eval_type,type,
eval: $i > $i > $i ).
thf(nil_type,type,
nil: $i ).
thf(zero_type,type,
zero: $i ).
thf(nil2_type,type,
nil2: $i ).
thf(opti2_type,type,
opti2: $i > $i ).
thf(lam_type,type,
lam: $i ).
thf(cons2_type,type,
cons2: $i > $i > $i ).
thf(print_type,type,
print: $i > $i ).
thf(run_type,type,
run: $i > $i > $i ).
thf(map_type,type,
map: $i > $i > $i ).
thf(append_type,type,
append: $i > $i > $i ).
thf(n_type,type,
n: $i > $i ).
thf(suc_type,type,
suc: $i > $i ).
thf(add_type,type,
add: $i > $i > $i ).
thf(cons_type,type,
cons: $i > $i > $i ).
thf(if_type,type,
if: $i > $i > $i > $i ).
thf(addNat_type,type,
addNat: $i > $i > $i ).
thf(apply1_type,type,
apply1: $i > $i > $i ).
thf(axiom_071,axiom,
! [Y: $i] :
( ( append @ nil2 @ Y )
= Y ) ).
thf(zip_derived_cl50,plain,
! [X0: $i] :
( ( append @ nil2 @ X0 )
= X0 ),
inference(cnf,[status(esa)],[axiom_071]) ).
thf(axiom_073,axiom,
! [Y: $i] :
( ( apply1 @ lam @ Y )
= ( opti2 @ Y ) ) ).
thf(zip_derived_cl52,plain,
! [X0: $i] :
( ( apply1 @ lam @ X0 )
= ( opti2 @ X0 ) ),
inference(cnf,[status(esa)],[axiom_073]) ).
thf(axiom_047,axiom,
! [C: $i,Q: $i,R: $i] :
( ( opti2 @ ( if @ C @ Q @ R ) )
= ( if @ ( add @ ( n @ ( suc @ zero ) ) @ C ) @ R @ Q ) ) ).
thf(zip_derived_cl27,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( opti2 @ ( if @ X0 @ X2 @ X1 ) )
= ( if @ ( add @ ( n @ ( suc @ zero ) ) @ X0 ) @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[axiom_047]) ).
thf(zip_derived_cl124,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( apply1 @ lam @ ( if @ X2 @ X1 @ X0 ) )
= ( if @ ( add @ ( n @ ( suc @ zero ) ) @ X2 ) @ X0 @ X1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl52,zip_derived_cl27]) ).
thf(axiom_069,axiom,
! [F: $i] :
( ( map @ F @ nil2 )
= nil2 ) ).
thf(zip_derived_cl48,plain,
! [X0: $i] :
( ( map @ X0 @ nil2 )
= nil2 ),
inference(cnf,[status(esa)],[axiom_069]) ).
thf(axiom_070,axiom,
! [F: $i,Y: $i,Xs: $i] :
( ( map @ F @ ( cons2 @ Y @ Xs ) )
= ( cons2 @ ( apply1 @ F @ Y ) @ ( map @ F @ Xs ) ) ) ).
thf(zip_derived_cl49,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( map @ X0 @ ( cons2 @ X1 @ X2 ) )
= ( cons2 @ ( apply1 @ X0 @ X1 ) @ ( map @ X0 @ X2 ) ) ),
inference(cnf,[status(esa)],[axiom_070]) ).
thf(zip_derived_cl190,plain,
! [X0: $i,X1: $i] :
( ( map @ X0 @ ( cons2 @ X1 @ nil2 ) )
= ( cons2 @ ( apply1 @ X0 @ X1 ) @ nil2 ) ),
inference('sup+',[status(thm)],[zip_derived_cl48,zip_derived_cl49]) ).
thf(zip_derived_cl207,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( map @ lam @ ( cons2 @ ( if @ X2 @ X0 @ X1 ) @ nil2 ) )
= ( cons2 @ ( if @ ( add @ ( n @ ( suc @ zero ) ) @ X2 ) @ X1 @ X0 ) @ nil2 ) ),
inference('sup+',[status(thm)],[zip_derived_cl124,zip_derived_cl190]) ).
thf(axiom_051,axiom,
! [Y: $i] :
( ( addNat @ zero @ Y )
= Y ) ).
thf(zip_derived_cl31,plain,
! [X0: $i] :
( ( addNat @ zero @ X0 )
= X0 ),
inference(cnf,[status(esa)],[axiom_051]) ).
thf(axiom_053,axiom,
! [Z: $i,X2: $i] :
( ( addNat @ ( suc @ Z ) @ ( suc @ X2 ) )
= ( suc @ ( addNat @ Z @ ( suc @ X2 ) ) ) ) ).
thf(zip_derived_cl33,plain,
! [X0: $i,X1: $i] :
( ( addNat @ ( suc @ X0 ) @ ( suc @ X1 ) )
= ( suc @ ( addNat @ X0 @ ( suc @ X1 ) ) ) ),
inference(cnf,[status(esa)],[axiom_053]) ).
thf(axiom_057,axiom,
! [X: $i,N: $i] :
( ( eval @ X @ ( n @ N ) )
= N ) ).
thf(zip_derived_cl36,plain,
! [X0: $i,X1: $i] :
( ( eval @ X1 @ ( n @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[axiom_057]) ).
thf(zip_derived_cl36_001,plain,
! [X0: $i,X1: $i] :
( ( eval @ X1 @ ( n @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[axiom_057]) ).
thf(axiom_058,axiom,
! [X: $i,A: $i,B: $i] :
( ( eval @ X @ ( add @ A @ B ) )
= ( addNat @ ( eval @ X @ A ) @ ( eval @ X @ B ) ) ) ).
thf(zip_derived_cl37,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( eval @ X0 @ ( add @ X1 @ X2 ) )
= ( addNat @ ( eval @ X0 @ X1 ) @ ( eval @ X0 @ X2 ) ) ),
inference(cnf,[status(esa)],[axiom_058]) ).
thf(axiom_068,axiom,
! [X: $i,R: $i,E4: $i,Q: $i,Q2: $i,X3: $i] :
( ( ( eval @ X @ E4 )
= ( suc @ X3 ) )
=> ( ( run @ X @ ( cons2 @ ( if @ E4 @ Q @ Q2 ) @ R ) )
= ( run @ X @ ( append @ Q @ R ) ) ) ) ).
thf(zip_derived_cl47,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( ( run @ X0 @ ( cons2 @ ( if @ X3 @ X1 @ X4 ) @ X2 ) )
= ( run @ X0 @ ( append @ X1 @ X2 ) ) )
| ( ( eval @ X0 @ X3 )
!= ( suc @ X5 ) ) ),
inference(cnf,[status(esa)],[axiom_068]) ).
thf(zip_derived_cl78,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( ( addNat @ ( eval @ X1 @ X2 ) @ ( eval @ X1 @ X0 ) )
!= ( suc @ X3 ) )
| ( ( run @ X1 @ ( cons2 @ ( if @ ( add @ X2 @ X0 ) @ X6 @ X5 ) @ X4 ) )
= ( run @ X1 @ ( append @ X6 @ X4 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl37,zip_derived_cl47]) ).
thf(zip_derived_cl85,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( ( addNat @ ( eval @ X2 @ X3 ) @ X0 )
!= ( suc @ X1 ) )
| ( ( run @ X2 @ ( cons2 @ ( if @ ( add @ X3 @ ( n @ X0 ) ) @ X6 @ X5 ) @ X4 ) )
= ( run @ X2 @ ( append @ X6 @ X4 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl36,zip_derived_cl78]) ).
thf(zip_derived_cl110,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( ( addNat @ X0 @ X2 )
!= ( suc @ X1 ) )
| ( ( run @ X3 @ ( cons2 @ ( if @ ( add @ ( n @ X0 ) @ ( n @ X2 ) ) @ X6 @ X5 ) @ X4 ) )
= ( run @ X3 @ ( append @ X6 @ X4 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl36,zip_derived_cl85]) ).
thf(zip_derived_cl158,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( ( suc @ ( addNat @ X1 @ ( suc @ X0 ) ) )
!= ( suc @ X2 ) )
| ( ( run @ X6 @ ( cons2 @ ( if @ ( add @ ( n @ ( suc @ X1 ) ) @ ( n @ ( suc @ X0 ) ) ) @ X5 @ X4 ) @ X3 ) )
= ( run @ X6 @ ( append @ X5 @ X3 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl33,zip_derived_cl110]) ).
thf(zip_derived_cl1128,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( ( suc @ ( suc @ X0 ) )
!= ( suc @ X1 ) )
| ( ( run @ X5 @ ( cons2 @ ( if @ ( add @ ( n @ ( suc @ zero ) ) @ ( n @ ( suc @ X0 ) ) ) @ X4 @ X3 ) @ X2 ) )
= ( run @ X5 @ ( append @ X4 @ X2 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl158]) ).
thf(zip_derived_cl1130,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( run @ X4 @ ( cons2 @ ( if @ ( add @ ( n @ ( suc @ zero ) ) @ ( n @ ( suc @ X3 ) ) ) @ X2 @ X1 ) @ X0 ) )
= ( run @ X4 @ ( append @ X2 @ X0 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl1128]) ).
thf(zip_derived_cl16741,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( run @ X3 @ ( map @ lam @ ( cons2 @ ( if @ ( n @ ( suc @ X2 ) ) @ X1 @ X0 ) @ nil2 ) ) )
= ( run @ X3 @ ( append @ X0 @ nil2 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl207,zip_derived_cl1130]) ).
thf(goal_074,conjecture,
? [P: $i] :
( ( run @ nil @ ( cons2 @ P @ nil2 ) )
!= ( run @ nil @ ( cons2 @ ( opti2 @ P ) @ nil2 ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ? [P: $i] :
( ( run @ nil @ ( cons2 @ P @ nil2 ) )
!= ( run @ nil @ ( cons2 @ ( opti2 @ P ) @ nil2 ) ) ),
inference('cnf.neg',[status(esa)],[goal_074]) ).
thf(zip_derived_cl53,plain,
! [X0: $i] :
( ( run @ nil @ ( cons2 @ X0 @ nil2 ) )
= ( run @ nil @ ( cons2 @ ( opti2 @ X0 ) @ nil2 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl52_002,plain,
! [X0: $i] :
( ( apply1 @ lam @ X0 )
= ( opti2 @ X0 ) ),
inference(cnf,[status(esa)],[axiom_073]) ).
thf(zip_derived_cl66,plain,
! [X0: $i] :
( ( run @ nil @ ( cons2 @ X0 @ nil2 ) )
= ( run @ nil @ ( cons2 @ ( apply1 @ lam @ X0 ) @ nil2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl53,zip_derived_cl52]) ).
thf(zip_derived_cl190_003,plain,
! [X0: $i,X1: $i] :
( ( map @ X0 @ ( cons2 @ X1 @ nil2 ) )
= ( cons2 @ ( apply1 @ X0 @ X1 ) @ nil2 ) ),
inference('sup+',[status(thm)],[zip_derived_cl48,zip_derived_cl49]) ).
thf(zip_derived_cl196,plain,
! [X0: $i] :
( ( run @ nil @ ( cons2 @ X0 @ nil2 ) )
= ( run @ nil @ ( map @ lam @ ( cons2 @ X0 @ nil2 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl66,zip_derived_cl190]) ).
thf(zip_derived_cl16834,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( run @ nil @ ( cons2 @ ( if @ ( n @ ( suc @ X2 ) ) @ X1 @ X0 ) @ nil2 ) )
= ( run @ nil @ ( append @ X0 @ nil2 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl16741,zip_derived_cl196]) ).
thf(zip_derived_cl36_004,plain,
! [X0: $i,X1: $i] :
( ( eval @ X1 @ ( n @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[axiom_057]) ).
thf(zip_derived_cl47_005,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( ( run @ X0 @ ( cons2 @ ( if @ X3 @ X1 @ X4 ) @ X2 ) )
= ( run @ X0 @ ( append @ X1 @ X2 ) ) )
| ( ( eval @ X0 @ X3 )
!= ( suc @ X5 ) ) ),
inference(cnf,[status(esa)],[axiom_068]) ).
thf(zip_derived_cl54,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X0
!= ( suc @ X1 ) )
| ( ( run @ X2 @ ( cons2 @ ( if @ ( n @ X0 ) @ X5 @ X4 ) @ X3 ) )
= ( run @ X2 @ ( append @ X5 @ X3 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl36,zip_derived_cl47]) ).
thf(zip_derived_cl56,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( run @ X4 @ ( cons2 @ ( if @ ( n @ ( suc @ X3 ) ) @ X2 @ X1 ) @ X0 ) )
= ( run @ X4 @ ( append @ X2 @ X0 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl54]) ).
thf(zip_derived_cl16888,plain,
! [X0: $i,X1: $i] :
( ( run @ nil @ ( append @ X0 @ nil2 ) )
= ( run @ nil @ ( append @ X1 @ nil2 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl16834,zip_derived_cl56]) ).
thf(zip_derived_cl16932,plain,
! [X0: $i] :
( ( run @ nil @ nil2 )
= ( run @ nil @ ( append @ X0 @ nil2 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl50,zip_derived_cl16888]) ).
thf(axiom_063,axiom,
! [X: $i] :
( ( run @ X @ nil2 )
= nil ) ).
thf(zip_derived_cl42,plain,
! [X0: $i] :
( ( run @ X0 @ nil2 )
= nil ),
inference(cnf,[status(esa)],[axiom_063]) ).
thf(zip_derived_cl16947,plain,
! [X0: $i] :
( nil
= ( run @ nil @ ( append @ X0 @ nil2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16932,zip_derived_cl42]) ).
thf(zip_derived_cl50_006,plain,
! [X0: $i] :
( ( append @ nil2 @ X0 )
= X0 ),
inference(cnf,[status(esa)],[axiom_071]) ).
thf(axiom_072,axiom,
! [Y: $i,Z: $i,Xs: $i] :
( ( append @ ( cons2 @ Z @ Xs ) @ Y )
= ( cons2 @ Z @ ( append @ Xs @ Y ) ) ) ).
thf(zip_derived_cl51,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( append @ ( cons2 @ X0 @ X1 ) @ X2 )
= ( cons2 @ X0 @ ( append @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[axiom_072]) ).
thf(zip_derived_cl59,plain,
! [X0: $i,X1: $i] :
( ( append @ ( cons2 @ X1 @ nil2 ) @ X0 )
= ( cons2 @ X1 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl50,zip_derived_cl51]) ).
thf(axiom_064,axiom,
! [X: $i,R: $i,E: $i] :
( ( run @ X @ ( cons2 @ ( print @ E ) @ R ) )
= ( cons @ ( eval @ X @ E ) @ ( run @ X @ R ) ) ) ).
thf(zip_derived_cl43,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( run @ X0 @ ( cons2 @ ( print @ X1 ) @ X2 ) )
= ( cons @ ( eval @ X0 @ X1 ) @ ( run @ X0 @ X2 ) ) ),
inference(cnf,[status(esa)],[axiom_064]) ).
thf(zip_derived_cl126,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( run @ X2 @ ( append @ ( cons2 @ ( print @ X1 ) @ nil2 ) @ X0 ) )
= ( cons @ ( eval @ X2 @ X1 ) @ ( run @ X2 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl59,zip_derived_cl43]) ).
thf(zip_derived_cl16973,plain,
! [X0: $i] :
( nil
= ( cons @ ( eval @ nil @ X0 ) @ ( run @ nil @ nil2 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl16947,zip_derived_cl126]) ).
thf(zip_derived_cl42_007,plain,
! [X0: $i] :
( ( run @ X0 @ nil2 )
= nil ),
inference(cnf,[status(esa)],[axiom_063]) ).
thf(zip_derived_cl16997,plain,
! [X0: $i] :
( nil
= ( cons @ ( eval @ nil @ X0 ) @ nil ) ),
inference(demod,[status(thm)],[zip_derived_cl16973,zip_derived_cl42]) ).
thf(axiom_037,axiom,
! [X: $i,X2: $i] :
( nil
!= ( cons @ X @ X2 ) ) ).
thf(zip_derived_cl19,plain,
! [X0: $i,X1: $i] :
( nil
!= ( cons @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[axiom_037]) ).
thf(zip_derived_cl16998,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl16997,zip_derived_cl19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWX197+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.w5UUlz3ktf true
% 0.17/0.34 % Computer : n007.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 11:04:23 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
% 0.53/0.65 % Total configuration time : 435
% 0.53/0.65 % Estimated wc time : 1092
% 0.53/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.53/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.71 % /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
% 0.54/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.54/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 31.12/5.13 % Solved by fo/fo7.sh.
% 31.12/5.13 % done 3511 iterations in 4.373s
% 31.12/5.13 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 31.12/5.13 % SZS output start Refutation
% See solution above
% 31.12/5.13
% 31.12/5.13
% 31.12/5.13 % Terminating...
% 31.91/5.15 % Runner terminated.
% 31.91/5.17 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------