%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWV234+2 : TPTP v9.2.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Aa5CrRai8o true
% Computer : n014.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 : Thu Oct 2 05:00:28 PM UTC 2025
% Result : Theorem 8.78s 1.80s
% Output : Refutation 8.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 12
% Syntax : Number of formulae : 56 ( 44 unt; 0 typ; 0 def)
% Number of atoms : 80 ( 28 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 395 ( 22 ~; 19 |; 3 &; 349 @)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 12 usr; 9 con; 0-2 aty)
% Number of variables : 89 ( 0 ^; 89 !; 0 ?; 89 :)
% Comments :
%------------------------------------------------------------------------------
thf(enc_type,type,
enc: $i > $i > $i ).
thf(kek_type,type,
kek: $i ).
thf(pin_type,type,
pin: $i ).
thf(imp_type,type,
imp: $i ).
thf(public_type,type,
public: $i > $o ).
thf(z_type,type,
z: $i ).
thf(data_type,type,
data: $i ).
thf(inv_type,type,
inv: $i > $i ).
thf(a_type,type,
a: $i ).
thf(xor_type,type,
xor: $i > $i > $i ).
thf(pp_type,type,
pp: $i ).
thf(km_type,type,
km: $i ).
thf(initial_knowledge5,axiom,
public @ ( enc @ ( xor @ kek @ pin ) @ pp ) ).
thf(zip_derived_cl16,plain,
public @ ( enc @ ( xor @ kek @ pin ) @ pp ),
inference(cnf,[status(esa)],[initial_knowledge5]) ).
thf(xor_commutes,axiom,
! [U: $i,V: $i,W: $i] :
( ( xor @ U @ V )
= ( xor @ V @ U ) ) ).
thf(zip_derived_cl8,plain,
! [X0: $i,X1: $i] :
( ( xor @ X1 @ X0 )
= ( xor @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[xor_commutes]) ).
thf(zip_derived_cl93,plain,
public @ ( enc @ ( xor @ pin @ kek ) @ pp ),
inference(demod,[status(thm)],[zip_derived_cl16,zip_derived_cl8]) ).
thf(xor_assosciative,axiom,
! [U: $i,V: $i,W: $i] :
( ( xor @ U @ ( xor @ V @ W ) )
= ( xor @ ( xor @ U @ V ) @ W ) ) ).
thf(zip_derived_cl9,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( xor @ X0 @ ( xor @ X1 @ X2 ) )
= ( xor @ ( xor @ X0 @ X1 ) @ X2 ) ),
inference(cnf,[status(esa)],[xor_assosciative]) ).
thf(zip_derived_cl8_001,plain,
! [X0: $i,X1: $i] :
( ( xor @ X1 @ X0 )
= ( xor @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[xor_commutes]) ).
thf(zip_derived_cl122,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( xor @ X0 @ ( xor @ X2 @ X1 ) )
= ( xor @ X2 @ ( xor @ X1 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl9,zip_derived_cl8]) ).
thf(xor_self_cancel,axiom,
! [U: $i,V: $i,W: $i] :
( ( xor @ U @ U )
= z ) ).
thf(zip_derived_cl10,plain,
! [X0: $i] :
( ( xor @ X0 @ X0 )
= z ),
inference(cnf,[status(esa)],[xor_self_cancel]) ).
thf(zip_derived_cl9_002,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( xor @ X0 @ ( xor @ X1 @ X2 ) )
= ( xor @ ( xor @ X0 @ X1 ) @ X2 ) ),
inference(cnf,[status(esa)],[xor_assosciative]) ).
thf(zip_derived_cl129,plain,
! [X0: $i,X1: $i] :
( ( xor @ X1 @ ( xor @ X1 @ X0 ) )
= ( xor @ z @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl10,zip_derived_cl9]) ).
thf(xor_zero,axiom,
! [U: $i,V: $i,W: $i] :
( ( xor @ U @ z )
= U ) ).
thf(zip_derived_cl11,plain,
! [X0: $i] :
( ( xor @ X0 @ z )
= X0 ),
inference(cnf,[status(esa)],[xor_zero]) ).
thf(zip_derived_cl8_003,plain,
! [X0: $i,X1: $i] :
( ( xor @ X1 @ X0 )
= ( xor @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[xor_commutes]) ).
thf(zip_derived_cl97,plain,
! [X0: $i] :
( X0
= ( xor @ z @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl11,zip_derived_cl8]) ).
thf(zip_derived_cl134,plain,
! [X0: $i,X1: $i] :
( ( xor @ X1 @ ( xor @ X1 @ X0 ) )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl129,zip_derived_cl97]) ).
thf(zip_derived_cl274,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( xor @ X1 @ ( xor @ X2 @ ( xor @ X1 @ X0 ) ) )
= ( xor @ X0 @ X2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl122,zip_derived_cl134]) ).
thf(initial_knowledge9,axiom,
public @ ( enc @ ( xor @ km @ imp ) @ ( xor @ kek @ ( xor @ pin @ data ) ) ) ).
thf(zip_derived_cl20,plain,
public @ ( enc @ ( xor @ km @ imp ) @ ( xor @ kek @ ( xor @ pin @ data ) ) ),
inference(cnf,[status(esa)],[initial_knowledge9]) ).
thf(zip_derived_cl8_004,plain,
! [X0: $i,X1: $i] :
( ( xor @ X1 @ X0 )
= ( xor @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[xor_commutes]) ).
thf(zip_derived_cl157,plain,
public @ ( enc @ ( xor @ km @ imp ) @ ( xor @ kek @ ( xor @ data @ pin ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20,zip_derived_cl8]) ).
thf(key_import_cmd,axiom,
! [U: $i,V: $i,W: $i] :
( ( ( public @ V )
& ( public @ ( enc @ ( xor @ U @ V ) @ W ) )
& ( public @ ( enc @ ( xor @ km @ imp ) @ U ) ) )
=> ( public @ ( enc @ ( xor @ km @ V ) @ W ) ) ) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( public @ ( enc @ ( xor @ km @ imp ) @ X0 ) )
| ~ ( public @ X1 )
| ~ ( public @ ( enc @ ( xor @ X0 @ X1 ) @ X2 ) )
| ( public @ ( enc @ ( xor @ km @ X1 ) @ X2 ) ) ),
inference(cnf,[status(esa)],[key_import_cmd]) ).
thf(zip_derived_cl159,plain,
! [X0: $i,X1: $i] :
( ~ ( public @ X0 )
| ~ ( public @ ( enc @ ( xor @ ( xor @ kek @ ( xor @ data @ pin ) ) @ X0 ) @ X1 ) )
| ( public @ ( enc @ ( xor @ km @ X0 ) @ X1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl157,zip_derived_cl5]) ).
thf(zip_derived_cl9_005,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( xor @ X0 @ ( xor @ X1 @ X2 ) )
= ( xor @ ( xor @ X0 @ X1 ) @ X2 ) ),
inference(cnf,[status(esa)],[xor_assosciative]) ).
thf(zip_derived_cl9_006,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( xor @ X0 @ ( xor @ X1 @ X2 ) )
= ( xor @ ( xor @ X0 @ X1 ) @ X2 ) ),
inference(cnf,[status(esa)],[xor_assosciative]) ).
thf(zip_derived_cl160,plain,
! [X0: $i,X1: $i] :
( ~ ( public @ X0 )
| ~ ( public @ ( enc @ ( xor @ kek @ ( xor @ data @ ( xor @ pin @ X0 ) ) ) @ X1 ) )
| ( public @ ( enc @ ( xor @ km @ X0 ) @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl159,zip_derived_cl9,zip_derived_cl9]) ).
thf(zip_derived_cl122_007,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( xor @ X0 @ ( xor @ X2 @ X1 ) )
= ( xor @ X2 @ ( xor @ X1 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl9,zip_derived_cl8]) ).
thf(zip_derived_cl9_008,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( xor @ X0 @ ( xor @ X1 @ X2 ) )
= ( xor @ ( xor @ X0 @ X1 ) @ X2 ) ),
inference(cnf,[status(esa)],[xor_assosciative]) ).
thf(zip_derived_cl513,plain,
! [X0: $i,X1: $i] :
( ~ ( public @ X0 )
| ~ ( public @ ( enc @ ( xor @ data @ ( xor @ pin @ ( xor @ X0 @ kek ) ) ) @ X1 ) )
| ( public @ ( enc @ ( xor @ km @ X0 ) @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl160,zip_derived_cl122,zip_derived_cl9]) ).
thf(zip_derived_cl1980,plain,
! [X0: $i] :
( ~ ( public @ data )
| ~ ( public @ ( enc @ ( xor @ kek @ pin ) @ X0 ) )
| ( public @ ( enc @ ( xor @ km @ data ) @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl274,zip_derived_cl513]) ).
thf(initial_knowledge2,axiom,
public @ data ).
thf(zip_derived_cl13,plain,
public @ data,
inference(cnf,[status(esa)],[initial_knowledge2]) ).
thf(zip_derived_cl8_009,plain,
! [X0: $i,X1: $i] :
( ( xor @ X1 @ X0 )
= ( xor @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[xor_commutes]) ).
thf(zip_derived_cl8_010,plain,
! [X0: $i,X1: $i] :
( ( xor @ X1 @ X0 )
= ( xor @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[xor_commutes]) ).
thf(zip_derived_cl2063,plain,
! [X0: $i] :
( ~ ( public @ ( enc @ ( xor @ pin @ kek ) @ X0 ) )
| ( public @ ( enc @ ( xor @ data @ km ) @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1980,zip_derived_cl13,zip_derived_cl8,zip_derived_cl8]) ).
thf(zip_derived_cl2222,plain,
public @ ( enc @ ( xor @ data @ km ) @ pp ),
inference('s_sup-',[status(thm)],[zip_derived_cl93,zip_derived_cl2063]) ).
thf(encrypt_decrypt_cancel,axiom,
! [U: $i,V: $i,W: $i] :
( ( enc @ U @ ( enc @ ( inv @ U ) @ V ) )
= V ) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i] :
( ( enc @ X1 @ ( enc @ ( inv @ X1 ) @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[encrypt_decrypt_cancel]) ).
thf(encrypt_data_cmd,axiom,
! [U: $i,V: $i] :
( ( ( public @ U )
& ( public @ V ) )
=> ( public @ ( enc @ ( enc @ ( inv @ ( xor @ data @ km ) ) @ U ) @ V ) ) ) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i] :
( ~ ( public @ X0 )
| ~ ( public @ X1 )
| ( public @ ( enc @ ( enc @ ( inv @ ( xor @ data @ km ) ) @ X0 ) @ X1 ) ) ),
inference(cnf,[status(esa)],[encrypt_data_cmd]) ).
thf(zip_derived_cl113,plain,
! [X0: $i,X1: $i] :
( ~ ( public @ ( enc @ ( inv @ ( inv @ ( xor @ data @ km ) ) ) @ X0 ) )
| ~ ( public @ X1 )
| ( public @ ( enc @ X0 @ X1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl7,zip_derived_cl4]) ).
thf(zip_derived_cl7_011,plain,
! [X0: $i,X1: $i] :
( ( enc @ X1 @ ( enc @ ( inv @ X1 ) @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[encrypt_decrypt_cancel]) ).
thf(zip_derived_cl7_012,plain,
! [X0: $i,X1: $i] :
( ( enc @ X1 @ ( enc @ ( inv @ X1 ) @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[encrypt_decrypt_cancel]) ).
thf(zip_derived_cl106,plain,
! [X0: $i,X1: $i] :
( ( enc @ X1 @ X0 )
= ( enc @ ( inv @ ( inv @ X1 ) ) @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl7,zip_derived_cl7]) ).
thf(zip_derived_cl183,plain,
! [X0: $i,X1: $i] :
( ~ ( public @ ( enc @ ( xor @ data @ km ) @ X0 ) )
| ~ ( public @ X1 )
| ( public @ ( enc @ X0 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl113,zip_derived_cl106]) ).
thf(zip_derived_cl2229,plain,
! [X0: $i] :
( ~ ( public @ X0 )
| ( public @ ( enc @ pp @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2222,zip_derived_cl183]) ).
thf(co1,conjecture,
public @ ( enc @ pp @ a ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( public @ ( enc @ pp @ a ) ),
inference('cnf.neg',[status(esa)],[co1]) ).
thf(zip_derived_cl21,plain,
~ ( public @ ( enc @ pp @ a ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2239,plain,
~ ( public @ a ),
inference('s_sup-',[status(thm)],[zip_derived_cl2229,zip_derived_cl21]) ).
thf(initial_knowledge8,axiom,
public @ a ).
thf(zip_derived_cl19,plain,
public @ a,
inference(cnf,[status(esa)],[initial_knowledge8]) ).
thf(zip_derived_cl2241,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl2239,zip_derived_cl19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : SWV234+2 : TPTP v9.2.0. Released v3.2.0.
% 0.03/0.11 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Aa5CrRai8o true
% 0.11/0.32 % Computer : n014.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Wed Oct 1 12:49:38 EDT 2025
% 0.11/0.32 % CPUTime :
% 0.11/0.32 % Running portfolio for 300 s
% 0.11/0.32 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.32 % Number of cores: 8
% 0.11/0.32 % Python version: Python 3.6.8
% 0.11/0.32 % Running in FO mode
% 0.50/0.59 % Total configuration time : 435
% 0.50/0.59 % Estimated wc time : 1092
% 0.50/0.59 % Estimated cpu time (7 cpus) : 156.0
% 0.50/0.70 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.50/0.70 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.50/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.50/0.71 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.50/0.71 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.51/0.71 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.51/0.72 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 8.78/1.80 % Solved by fo/fo6_bce.sh.
% 8.78/1.80 % BCE start: 22
% 8.78/1.80 % BCE eliminated: 0
% 8.78/1.80 % PE start: 22
% 8.78/1.80 logic: eq
% 8.78/1.80 % PE eliminated: 0
% 8.78/1.80 % done 311 iterations in 1.071s
% 8.78/1.80 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 8.78/1.80 % SZS output start Refutation
% See solution above
% 8.78/1.80
% 8.78/1.80
% 8.78/1.80 % Terminating...
% 8.79/1.92 % Runner terminated.
% 8.79/1.94 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------