%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWV235+1 : TPTP v9.2.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ZLs1jjgXXI 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 : Thu Oct 2 05:00:28 PM UTC 2025
% Result : Theorem 6.23s 1.48s
% Output : Refutation 6.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 16
% Syntax : Number of formulae : 54 ( 34 unt; 0 typ; 0 def)
% Number of atoms : 91 ( 14 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 323 ( 36 ~; 26 |; 6 &; 250 @)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 55 ( 0 ^; 55 !; 0 ?; 55 :)
% Comments :
%------------------------------------------------------------------------------
thf(id_type,type,
id: $i ).
thf(kp_type,type,
kp: $i ).
thf(exp_type,type,
exp: $i ).
thf(km_type,type,
km: $i ).
thf(xor_type,type,
xor: $i > $i > $i ).
thf(pin_type,type,
pin: $i ).
thf(a_type,type,
a: $i ).
thf(pp_type,type,
pp: $i ).
thf(p_type,type,
p: $i > $o ).
thf(crypt_type,type,
crypt: $i > $i > $i ).
thf(combine_with_XOR,axiom,
! [X1: $i,X2: $i] :
( ( ( p @ X1 )
& ( p @ X2 ) )
=> ( p @ ( xor @ X1 @ X2 ) ) ) ).
thf(zip_derived_cl13,plain,
! [X0: $i,X1: $i] :
( ~ ( p @ X0 )
| ~ ( p @ X1 )
| ( p @ ( xor @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[combine_with_XOR]) ).
thf(xor_rules_2,axiom,
! [X1: $i] :
( ( xor @ X1 @ X1 )
= id ) ).
thf(zip_derived_cl4,plain,
! [X0: $i] :
( ( xor @ X0 @ X0 )
= id ),
inference(cnf,[status(esa)],[xor_rules_2]) ).
thf(initial_knowledge_of_intruder_6,axiom,
p @ ( crypt @ ( xor @ km @ pin ) @ pp ) ).
thf(zip_derived_cl21,plain,
p @ ( crypt @ ( xor @ km @ pin ) @ pp ),
inference(cnf,[status(esa)],[initial_knowledge_of_intruder_6]) ).
thf(xor_commutative,axiom,
! [X1: $i,X2: $i] :
( ( xor @ X1 @ X2 )
= ( xor @ X2 @ X1 ) ) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i] :
( ( xor @ X1 @ X0 )
= ( xor @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[xor_commutative]) ).
thf(key_export,axiom,
! [Xtype: $i,Xk1: $i,Xkek1: $i] :
( ( ( p @ ( crypt @ ( xor @ km @ Xtype ) @ Xk1 ) )
& ( p @ Xtype )
& ( p @ ( crypt @ ( xor @ km @ exp ) @ Xkek1 ) ) )
=> ( p @ ( crypt @ ( xor @ Xkek1 @ Xtype ) @ Xk1 ) ) ) ).
thf(zip_derived_cl6,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( p @ X0 )
| ~ ( p @ ( crypt @ ( xor @ km @ X0 ) @ X1 ) )
| ~ ( p @ ( crypt @ ( xor @ km @ exp ) @ X2 ) )
| ( p @ ( crypt @ ( xor @ X2 @ X0 ) @ X1 ) ) ),
inference(cnf,[status(esa)],[key_export]) ).
thf(zip_derived_cl152,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( p @ X1 )
| ~ ( p @ ( crypt @ ( xor @ km @ X1 ) @ X2 ) )
| ~ ( p @ ( crypt @ ( xor @ km @ exp ) @ X0 ) )
| ( p @ ( crypt @ ( xor @ X1 @ X0 ) @ X2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl6]) ).
thf(zip_derived_cl2660,plain,
! [X0: $i] :
( ~ ( p @ pin )
| ~ ( p @ ( crypt @ ( xor @ km @ exp ) @ X0 ) )
| ( p @ ( crypt @ ( xor @ pin @ X0 ) @ pp ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl21,zip_derived_cl152]) ).
thf(initial_knowledge_of_intruder_5,axiom,
p @ pin ).
thf(zip_derived_cl20,plain,
p @ pin,
inference(cnf,[status(esa)],[initial_knowledge_of_intruder_5]) ).
thf(zip_derived_cl2704,plain,
! [X0: $i] :
( ~ ( p @ ( crypt @ ( xor @ km @ exp ) @ X0 ) )
| ( p @ ( crypt @ ( xor @ pin @ X0 ) @ pp ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2660,zip_derived_cl20]) ).
thf(decrypt_knowledge,axiom,
! [X1: $i,X2: $i] :
( ( ( p @ ( crypt @ X1 @ X2 ) )
& ( p @ X1 ) )
=> ( p @ X2 ) ) ).
thf(zip_derived_cl14,plain,
! [X0: $i,X1: $i] :
( ~ ( p @ X0 )
| ~ ( p @ ( crypt @ X0 @ X1 ) )
| ( p @ X1 ) ),
inference(cnf,[status(esa)],[decrypt_knowledge]) ).
thf(zip_derived_cl2761,plain,
! [X0: $i] :
( ~ ( p @ ( crypt @ ( xor @ km @ exp ) @ X0 ) )
| ~ ( p @ ( xor @ pin @ X0 ) )
| ( p @ pp ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2704,zip_derived_cl14]) ).
thf(encrypt_knowledge,axiom,
! [X1: $i,X2: $i] :
( ( ( p @ X2 )
& ( p @ X1 ) )
=> ( p @ ( crypt @ X1 @ X2 ) ) ) ).
thf(zip_derived_cl15,plain,
! [X0: $i,X1: $i] :
( ~ ( p @ X0 )
| ~ ( p @ X1 )
| ( p @ ( crypt @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[encrypt_knowledge]) ).
thf(find_pin,conjecture,
p @ ( crypt @ pp @ a ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( p @ ( crypt @ pp @ a ) ),
inference('cnf.neg',[status(esa)],[find_pin]) ).
thf(zip_derived_cl28,plain,
~ ( p @ ( crypt @ pp @ a ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl41,plain,
( ~ ( p @ a )
| ~ ( p @ pp ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl28]) ).
thf(an_account_number,axiom,
p @ a ).
thf(zip_derived_cl27,plain,
p @ a,
inference(cnf,[status(esa)],[an_account_number]) ).
thf(zip_derived_cl43,plain,
~ ( p @ pp ),
inference(demod,[status(thm)],[zip_derived_cl41,zip_derived_cl27]) ).
thf(zip_derived_cl2778,plain,
! [X0: $i] :
( ~ ( p @ ( crypt @ ( xor @ km @ exp ) @ X0 ) )
| ~ ( p @ ( xor @ pin @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2761,zip_derived_cl43]) ).
thf(zip_derived_cl2806,plain,
( ~ ( p @ ( crypt @ ( xor @ km @ exp ) @ pin ) )
| ~ ( p @ id ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl2778]) ).
thf(initial_knowledge_of_intruder_4,axiom,
p @ id ).
thf(zip_derived_cl19,plain,
p @ id,
inference(cnf,[status(esa)],[initial_knowledge_of_intruder_4]) ).
thf(zip_derived_cl2818,plain,
~ ( p @ ( crypt @ ( xor @ km @ exp ) @ pin ) ),
inference(demod,[status(thm)],[zip_derived_cl2806,zip_derived_cl19]) ).
thf(zip_derived_cl4_001,plain,
! [X0: $i] :
( ( xor @ X0 @ X0 )
= id ),
inference(cnf,[status(esa)],[xor_rules_2]) ).
thf(xor_associative,axiom,
! [X1: $i,X2: $i,X3: $i] :
( ( xor @ X1 @ ( xor @ X2 @ X3 ) )
= ( xor @ ( xor @ X1 @ X2 ) @ X3 ) ) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( xor @ X0 @ ( xor @ X1 @ X2 ) )
= ( xor @ ( xor @ X0 @ X1 ) @ X2 ) ),
inference(cnf,[status(esa)],[xor_associative]) ).
thf(zip_derived_cl57,plain,
! [X0: $i,X1: $i] :
( ( xor @ X1 @ ( xor @ X1 @ X0 ) )
= ( xor @ id @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl4,zip_derived_cl1]) ).
thf(xor_rules_1,axiom,
! [X1: $i] :
( ( xor @ X1 @ id )
= X1 ) ).
thf(zip_derived_cl3,plain,
! [X0: $i] :
( ( xor @ X0 @ id )
= X0 ),
inference(cnf,[status(esa)],[xor_rules_1]) ).
thf(zip_derived_cl0_002,plain,
! [X0: $i,X1: $i] :
( ( xor @ X1 @ X0 )
= ( xor @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[xor_commutative]) ).
thf(zip_derived_cl30,plain,
! [X0: $i] :
( X0
= ( xor @ id @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3,zip_derived_cl0]) ).
thf(zip_derived_cl62,plain,
! [X0: $i,X1: $i] :
( ( xor @ X1 @ ( xor @ X1 @ X0 ) )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl57,zip_derived_cl30]) ).
thf(key_part_import___part_1,axiom,
! [Xk: $i,Xtype: $i] :
( ( ( p @ Xk )
& ( p @ Xtype ) )
=> ( p @ ( crypt @ ( xor @ km @ ( xor @ kp @ Xtype ) ) @ Xk ) ) ) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i] :
( ~ ( p @ X0 )
| ~ ( p @ X1 )
| ( p @ ( crypt @ ( xor @ km @ ( xor @ kp @ X1 ) ) @ X0 ) ) ),
inference(cnf,[status(esa)],[key_part_import___part_1]) ).
thf(zip_derived_cl134,plain,
! [X0: $i,X1: $i] :
( ~ ( p @ X1 )
| ~ ( p @ ( xor @ kp @ X0 ) )
| ( p @ ( crypt @ ( xor @ km @ X0 ) @ X1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl62,zip_derived_cl7]) ).
thf(zip_derived_cl2827,plain,
( ~ ( p @ pin )
| ~ ( p @ ( xor @ kp @ exp ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2818,zip_derived_cl134]) ).
thf(zip_derived_cl20_003,plain,
p @ pin,
inference(cnf,[status(esa)],[initial_knowledge_of_intruder_5]) ).
thf(zip_derived_cl0_004,plain,
! [X0: $i,X1: $i] :
( ( xor @ X1 @ X0 )
= ( xor @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[xor_commutative]) ).
thf(zip_derived_cl2836,plain,
~ ( p @ ( xor @ exp @ kp ) ),
inference(demod,[status(thm)],[zip_derived_cl2827,zip_derived_cl20,zip_derived_cl0]) ).
thf(zip_derived_cl2843,plain,
( ~ ( p @ kp )
| ~ ( p @ exp ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl2836]) ).
thf(initial_knowledge_of_intruder_1,axiom,
p @ kp ).
thf(zip_derived_cl16,plain,
p @ kp,
inference(cnf,[status(esa)],[initial_knowledge_of_intruder_1]) ).
thf(initial_knowledge_of_intruder_11,axiom,
p @ exp ).
thf(zip_derived_cl26,plain,
p @ exp,
inference(cnf,[status(esa)],[initial_knowledge_of_intruder_11]) ).
thf(zip_derived_cl2844,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl2843,zip_derived_cl16,zip_derived_cl26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV235+1 : TPTP v9.2.0. Released v3.2.0.
% 0.12/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ZLs1jjgXXI true
% 0.12/0.34 % Computer : n006.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.19/0.34 % CPULimit : 300
% 0.19/0.34 % WCLimit : 300
% 0.19/0.34 % DateTime : Wed Oct 1 12:39:23 EDT 2025
% 0.19/0.34 % CPUTime :
% 0.19/0.35 % Running portfolio for 300 s
% 0.19/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.35 % Number of cores: 8
% 0.19/0.35 % Python version: Python 3.6.8
% 0.19/0.35 % Running in FO mode
% 0.56/0.63 % Total configuration time : 435
% 0.56/0.63 % Estimated wc time : 1092
% 0.56/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.56/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 6.23/1.48 % Solved by fo/fo13.sh.
% 6.23/1.48 % done 411 iterations in 0.709s
% 6.23/1.48 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 6.23/1.48 % SZS output start Refutation
% See solution above
% 6.23/1.48
% 6.23/1.48
% 6.23/1.48 % Terminating...
% 6.52/1.54 % Runner terminated.
% 6.52/1.55 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------