%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : KLE025+2 : 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.kDZWfG6of5 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 04:40:08 PM UTC 2025
% Result : Theorem 3.59s 1.26s
% Output : Refutation 3.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 30 ( 21 unt; 0 typ; 0 def)
% Number of atoms : 48 ( 33 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 209 ( 10 ~; 7 |; 4 &; 181 @)
% ( 2 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 46 ( 0 ^; 46 !; 0 ?; 46 :)
% Comments :
%------------------------------------------------------------------------------
thf(multiplication_type,type,
multiplication: $i > $i > $i ).
thf(sk__3_type,type,
sk__3: $i ).
thf(c_type,type,
c: $i > $i ).
thf(complement_type,type,
complement: $i > $i > $o ).
thf(sk__2_type,type,
sk__2: $i ).
thf(one_type,type,
one: $i ).
thf(addition_type,type,
addition: $i > $i > $i ).
thf(sk__1_type,type,
sk__1: $i ).
thf(test_type,type,
test: $i > $o ).
thf(zero_type,type,
zero: $i ).
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(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_cl17,plain,
! [X0: $i,X1: $i] :
( ( ( addition @ X0 @ X1 )
= one )
| ~ ( complement @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[test_2]) ).
thf(zip_derived_cl54,plain,
! [X0: $i,X1: $i] :
( ( ( c @ X1 )
!= X0 )
| ~ ( test @ X1 )
| ( ( addition @ X0 @ X1 )
= one ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl17]) ).
thf(zip_derived_cl93,plain,
! [X0: $i] :
( ( ( addition @ ( c @ X0 ) @ X0 )
= one )
| ~ ( test @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl54]) ).
thf(goals,conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ( ( test @ X1 )
& ( test @ X2 ) )
=> ( ( ( multiplication @ ( multiplication @ X1 @ X0 ) @ ( c @ X2 ) )
= zero )
=> ( ( multiplication @ X1 @ X0 )
= ( multiplication @ ( multiplication @ X1 @ X0 ) @ X2 ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [X0: $i,X1: $i,X2: $i] :
( ( ( test @ X1 )
& ( test @ X2 ) )
=> ( ( ( multiplication @ ( multiplication @ X1 @ X0 ) @ ( c @ X2 ) )
= zero )
=> ( ( multiplication @ X1 @ X0 )
= ( multiplication @ ( multiplication @ X1 @ X0 ) @ X2 ) ) ) ),
inference('cnf.neg',[status(esa)],[goals]) ).
thf(zip_derived_cl24,plain,
( ( multiplication @ ( multiplication @ sk__2 @ sk__1 ) @ ( c @ sk__3 ) )
= zero ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(right_distributivity,axiom,
! [A: $i,B: $i,C: $i] :
( ( multiplication @ A @ ( addition @ B @ C ) )
= ( addition @ ( multiplication @ A @ B ) @ ( multiplication @ A @ C ) ) ) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( multiplication @ X0 @ ( addition @ X1 @ X2 ) )
= ( addition @ ( multiplication @ X0 @ X1 ) @ ( multiplication @ X0 @ X2 ) ) ),
inference(cnf,[status(esa)],[right_distributivity]) ).
thf(zip_derived_cl131,plain,
! [X0: $i] :
( ( multiplication @ ( multiplication @ sk__2 @ sk__1 ) @ ( addition @ ( c @ sk__3 ) @ X0 ) )
= ( addition @ zero @ ( multiplication @ ( multiplication @ sk__2 @ sk__1 ) @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl24,zip_derived_cl7]) ).
thf(multiplicative_associativity,axiom,
! [A: $i,B: $i,C: $i] :
( ( multiplication @ A @ ( multiplication @ B @ C ) )
= ( multiplication @ ( multiplication @ A @ B ) @ C ) ) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( multiplication @ X0 @ ( multiplication @ X1 @ X2 ) )
= ( multiplication @ ( multiplication @ X0 @ X1 ) @ X2 ) ),
inference(cnf,[status(esa)],[multiplicative_associativity]) ).
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_cl30,plain,
! [X0: $i] :
( ( addition @ zero @ X0 )
= X0 ),
inference('s_sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl0]) ).
thf(zip_derived_cl145,plain,
! [X0: $i] :
( ( multiplication @ ( multiplication @ sk__2 @ sk__1 ) @ ( addition @ ( c @ sk__3 ) @ X0 ) )
= ( multiplication @ sk__2 @ ( multiplication @ sk__1 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl131,zip_derived_cl4,zip_derived_cl30]) ).
thf(zip_derived_cl3687,plain,
( ~ ( test @ sk__3 )
| ( ( multiplication @ ( multiplication @ sk__2 @ sk__1 ) @ one )
= ( multiplication @ sk__2 @ ( multiplication @ sk__1 @ sk__3 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl93,zip_derived_cl145]) ).
thf(zip_derived_cl26,plain,
test @ sk__3,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4_001,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( multiplication @ X0 @ ( multiplication @ X1 @ X2 ) )
= ( multiplication @ ( multiplication @ X0 @ X1 ) @ X2 ) ),
inference(cnf,[status(esa)],[multiplicative_associativity]) ).
thf(multiplicative_right_identity,axiom,
! [A: $i] :
( ( multiplication @ A @ one )
= A ) ).
thf(zip_derived_cl5,plain,
! [X0: $i] :
( ( multiplication @ X0 @ one )
= X0 ),
inference(cnf,[status(esa)],[multiplicative_right_identity]) ).
thf(zip_derived_cl3710,plain,
( ( multiplication @ sk__2 @ sk__1 )
= ( multiplication @ sk__2 @ ( multiplication @ sk__1 @ sk__3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3687,zip_derived_cl26,zip_derived_cl4,zip_derived_cl5]) ).
thf(zip_derived_cl25,plain,
( ( multiplication @ sk__2 @ sk__1 )
!= ( multiplication @ ( multiplication @ sk__2 @ sk__1 ) @ sk__3 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4_002,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( multiplication @ X0 @ ( multiplication @ X1 @ X2 ) )
= ( multiplication @ ( multiplication @ X0 @ X1 ) @ X2 ) ),
inference(cnf,[status(esa)],[multiplicative_associativity]) ).
thf(zip_derived_cl61,plain,
( ( multiplication @ sk__2 @ sk__1 )
!= ( multiplication @ sk__2 @ ( multiplication @ sk__1 @ sk__3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25,zip_derived_cl4]) ).
thf(zip_derived_cl3711,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3710,zip_derived_cl61]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.18 % Problem : KLE025+2 : TPTP v9.2.0. Released v4.0.0.
% 0.12/0.19 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.kDZWfG6of5 true
% 0.12/0.49 % Computer : n014.cluster.edu
% 0.12/0.49 % Model : x86_64 x86_64
% 0.12/0.49 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.49 % Memory : 8042.1875MB
% 0.12/0.49 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.49 % CPULimit : 300
% 0.12/0.49 % WCLimit : 300
% 0.12/0.49 % DateTime : Wed Oct 1 13:59:23 EDT 2025
% 0.12/0.49 % CPUTime :
% 0.12/0.49 % Running portfolio for 300 s
% 0.12/0.49 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.49 % Number of cores: 8
% 0.12/0.50 % Python version: Python 3.6.8
% 0.12/0.50 % Running in FO mode
% 0.33/0.78 % Total configuration time : 435
% 0.33/0.78 % Estimated wc time : 1092
% 0.33/0.78 % Estimated cpu time (7 cpus) : 156.0
% 0.33/0.85 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.35/0.87 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.35/0.90 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.35/0.90 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.35/0.90 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.35/0.91 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.35/0.91 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 3.59/1.26 % Solved by fo/fo1_av.sh.
% 3.59/1.26 % done 401 iterations in 0.336s
% 3.59/1.26 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 3.59/1.26 % SZS output start Refutation
% See solution above
% 3.59/1.26
% 3.59/1.26
% 3.59/1.26 % Terminating...
% 3.59/1.30 % Runner terminated.
% 3.59/1.31 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------