%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : KLE004+1 : TPTP v9.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.f4OSrk2AHY true
% Computer : n015.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 04:40:03 PM UTC 2025
% Result : Theorem 0.58s 0.79s
% Output : Refutation 0.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 30 ( 16 unt; 0 typ; 0 def)
% Number of atoms : 57 ( 37 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 138 ( 25 ~; 21 |; 2 &; 86 @)
% ( 3 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 35 ( 0 ^; 34 !; 1 ?; 35 :)
% Comments :
%------------------------------------------------------------------------------
thf(multiplication_type,type,
multiplication: $i > $i > $i ).
thf(c_type,type,
c: $i > $i ).
thf(complement_type,type,
complement: $i > $i > $o ).
thf(one_type,type,
one: $i ).
thf(addition_type,type,
addition: $i > $i > $i ).
thf(test_type,type,
test: $i > $o ).
thf(zero_type,type,
zero: $i ).
thf(left_annihilation,axiom,
! [A: $i] :
( ( multiplication @ zero @ A )
= zero ) ).
thf(zip_derived_cl10,plain,
! [X0: $i] :
( ( multiplication @ zero @ X0 )
= zero ),
inference(cnf,[status(esa)],[left_annihilation]) ).
thf(test_2,axiom,
! [X0: $i,X1: $i] :
( ( complement @ X1 @ X0 )
<=> ( ( ( multiplication @ X0 @ X1 )
= zero )
& ( ( multiplication @ X1 @ X0 )
= zero )
& ( ( addition @ X0 @ X1 )
= one ) ) ) ).
thf(zip_derived_cl18,plain,
! [X0: $i,X1: $i] :
( ( complement @ X0 @ X1 )
| ( ( addition @ X1 @ X0 )
!= one )
| ( ( multiplication @ X0 @ X1 )
!= zero )
| ( ( multiplication @ X1 @ X0 )
!= zero ) ),
inference(cnf,[status(esa)],[test_2]) ).
thf(test_1,axiom,
! [X0: $i] :
( ( test @ X0 )
<=> ? [X1: $i] : ( complement @ X1 @ X0 ) ) ).
thf(zip_derived_cl14,plain,
! [X0: $i,X1: $i] :
( ( test @ X0 )
| ~ ( complement @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[test_1]) ).
thf(zip_derived_cl66,plain,
! [X0: $i,X1: $i] :
( ( ( multiplication @ X0 @ X1 )
!= zero )
| ( ( multiplication @ X1 @ X0 )
!= zero )
| ( ( addition @ X0 @ X1 )
!= one )
| ( test @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl18,zip_derived_cl14]) ).
thf(zip_derived_cl245,plain,
! [X0: $i] :
( ( zero != zero )
| ( ( multiplication @ X0 @ zero )
!= zero )
| ( ( addition @ zero @ X0 )
!= one )
| ( test @ zero ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl66]) ).
thf(right_annihilation,axiom,
! [A: $i] :
( ( multiplication @ A @ zero )
= zero ) ).
thf(zip_derived_cl9,plain,
! [X0: $i] :
( ( multiplication @ X0 @ zero )
= zero ),
inference(cnf,[status(esa)],[right_annihilation]) ).
thf(additive_identity,axiom,
! [A: $i] :
( ( addition @ A @ zero )
= A ) ).
thf(zip_derived_cl2,plain,
! [X0: $i] :
( ( addition @ X0 @ zero )
= X0 ),
inference(cnf,[status(esa)],[additive_identity]) ).
thf(additive_commutativity,axiom,
! [A: $i,B: $i] :
( ( addition @ A @ B )
= ( addition @ B @ A ) ) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i] :
( ( addition @ X1 @ X0 )
= ( addition @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[additive_commutativity]) ).
thf(zip_derived_cl84,plain,
! [X0: $i] :
( ( addition @ zero @ X0 )
= X0 ),
inference('s_sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl0]) ).
thf(zip_derived_cl256,plain,
! [X0: $i] :
( ( zero != zero )
| ( zero != zero )
| ( X0 != one )
| ( test @ zero ) ),
inference(demod,[status(thm)],[zip_derived_cl245,zip_derived_cl9,zip_derived_cl84]) ).
thf(zip_derived_cl257,plain,
! [X0: $i] :
( ( test @ zero )
| ( X0 != one ) ),
inference(simplify,[status(thm)],[zip_derived_cl256]) ).
thf(test_3,axiom,
! [X0: $i,X1: $i] :
( ( test @ X0 )
=> ( ( ( c @ X0 )
= X1 )
<=> ( complement @ X0 @ X1 ) ) ) ).
thf(zip_derived_cl20,plain,
! [X0: $i,X1: $i] :
( ~ ( test @ X0 )
| ( complement @ X0 @ X1 )
| ( ( c @ X0 )
!= X1 ) ),
inference(cnf,[status(esa)],[test_3]) ).
thf(zip_derived_cl17,plain,
! [X0: $i,X1: $i] :
( ( ( addition @ X0 @ X1 )
= one )
| ~ ( complement @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[test_2]) ).
thf(zip_derived_cl65,plain,
! [X0: $i,X1: $i] :
( ( ( c @ X0 )
!= X1 )
| ~ ( test @ X0 )
| ( ( addition @ X1 @ X0 )
= one ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl20,zip_derived_cl17]) ).
thf(zip_derived_cl231,plain,
! [X0: $i] :
( ( ( addition @ ( c @ X0 ) @ X0 )
= one )
| ~ ( test @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl65]) ).
thf(zip_derived_cl2_001,plain,
! [X0: $i] :
( ( addition @ X0 @ zero )
= X0 ),
inference(cnf,[status(esa)],[additive_identity]) ).
thf(zip_derived_cl235,plain,
( ~ ( test @ zero )
| ( one
= ( c @ zero ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl231,zip_derived_cl2]) ).
thf(goals,conjecture,
( ( c @ zero )
= one ) ).
thf(zf_stmt_0,negated_conjecture,
( ( c @ zero )
!= one ),
inference('cnf.neg',[status(esa)],[goals]) ).
thf(zip_derived_cl22,plain,
( ( c @ zero )
!= one ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl240,plain,
~ ( test @ zero ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl235,zip_derived_cl22]) ).
thf(zip_derived_cl302,plain,
! [X0: $i] : ( X0 != one ),
inference(clc,[status(thm)],[zip_derived_cl257,zip_derived_cl240]) ).
thf(zip_derived_cl303,plain,
$false,
inference(eq_res,[status(thm)],[zip_derived_cl302]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : KLE004+1 : TPTP v9.2.0. Released v4.0.0.
% 0.06/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.f4OSrk2AHY true
% 0.13/0.34 % Computer : n015.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Oct 1 14:08:23 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.56/0.66 % Total configuration time : 435
% 0.56/0.66 % Estimated wc time : 1092
% 0.56/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.58/0.73 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.58/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.58/0.77 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.58/0.78 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.58/0.78 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.58/0.78 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.58/0.79 % Solved by fo/fo6_bce.sh.
% 0.58/0.79 % BCE start: 23
% 0.58/0.79 % BCE eliminated: 2
% 0.58/0.79 % PE start: 21
% 0.58/0.79 logic: eq
% 0.58/0.79 % PE eliminated: 0
% 0.58/0.79 % done 41 iterations in 0.033s
% 0.58/0.79 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.58/0.79 % SZS output start Refutation
% See solution above
% 0.58/0.79
% 0.58/0.79
% 0.58/0.79 % Terminating...
% 0.58/0.79 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.74/0.87 % Runner terminated.
% 1.74/0.88 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------