%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : KLE009+3 : TPTP v9.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.kRRNthIVuN true
% Computer : n024.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 04:40:05 PM UTC 2025
% Result : Theorem 0.57s 1.04s
% Output : Refutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 55 ( 40 unt; 0 typ; 0 def)
% Number of atoms : 79 ( 48 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 450 ( 20 ~; 12 |; 6 &; 406 @)
% ( 3 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 73 ( 0 ^; 73 !; 0 ?; 73 :)
% 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(sk__2_type,type,
sk__2: $i ).
thf(addition_type,type,
addition: $i > $i > $i ).
thf(test_type,type,
test: $i > $o ).
thf(sk__1_type,type,
sk__1: $i ).
thf(leq_type,type,
leq: $i > $i > $o ).
thf(zero_type,type,
zero: $i ).
thf(order,axiom,
! [A: $i,B: $i] :
( ( leq @ A @ B )
<=> ( ( addition @ A @ B )
= B ) ) ).
thf(zip_derived_cl12,plain,
! [X0: $i,X1: $i] :
( ( leq @ X0 @ X1 )
| ( ( addition @ X0 @ X1 )
!= X1 ) ),
inference(cnf,[status(esa)],[order]) ).
thf(goals,conjecture,
! [X0: $i,X1: $i] :
( ( ( test @ X1 )
& ( test @ X0 ) )
=> ( ( leq @ one @ ( addition @ ( addition @ ( addition @ ( multiplication @ X0 @ X1 ) @ ( multiplication @ X0 @ ( c @ X1 ) ) ) @ ( multiplication @ ( c @ X0 ) @ X1 ) ) @ ( multiplication @ ( c @ X0 ) @ ( c @ X1 ) ) ) )
& ( leq @ ( addition @ ( addition @ ( addition @ ( multiplication @ X0 @ X1 ) @ ( multiplication @ X0 @ ( c @ X1 ) ) ) @ ( multiplication @ ( c @ X0 ) @ X1 ) ) @ ( multiplication @ ( c @ X0 ) @ ( c @ X1 ) ) ) @ one ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [X0: $i,X1: $i] :
( ( ( test @ X1 )
& ( test @ X0 ) )
=> ( ( leq @ one @ ( addition @ ( addition @ ( addition @ ( multiplication @ X0 @ X1 ) @ ( multiplication @ X0 @ ( c @ X1 ) ) ) @ ( multiplication @ ( c @ X0 ) @ X1 ) ) @ ( multiplication @ ( c @ X0 ) @ ( c @ X1 ) ) ) )
& ( leq @ ( addition @ ( addition @ ( addition @ ( multiplication @ X0 @ X1 ) @ ( multiplication @ X0 @ ( c @ X1 ) ) ) @ ( multiplication @ ( c @ X0 ) @ X1 ) ) @ ( multiplication @ ( c @ X0 ) @ ( c @ X1 ) ) ) @ one ) ) ),
inference('cnf.neg',[status(esa)],[goals]) ).
thf(zip_derived_cl22,plain,
( ~ ( leq @ one @ ( addition @ ( addition @ ( addition @ ( multiplication @ sk__1 @ sk__2 ) @ ( multiplication @ sk__1 @ ( c @ sk__2 ) ) ) @ ( multiplication @ ( c @ sk__1 ) @ sk__2 ) ) @ ( multiplication @ ( c @ sk__1 ) @ ( c @ sk__2 ) ) ) )
| ~ ( leq @ ( addition @ ( addition @ ( addition @ ( multiplication @ sk__1 @ sk__2 ) @ ( multiplication @ sk__1 @ ( c @ sk__2 ) ) ) @ ( multiplication @ ( c @ sk__1 ) @ sk__2 ) ) @ ( multiplication @ ( c @ sk__1 ) @ ( c @ sk__2 ) ) ) @ one ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
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_cl0_001,plain,
! [X0: $i,X1: $i] :
( ( addition @ X1 @ X0 )
= ( addition @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[additive_commutativity]) ).
thf(zip_derived_cl0_002,plain,
! [X0: $i,X1: $i] :
( ( addition @ X1 @ X0 )
= ( addition @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[additive_commutativity]) ).
thf(zip_derived_cl0_003,plain,
! [X0: $i,X1: $i] :
( ( addition @ X1 @ X0 )
= ( addition @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[additive_commutativity]) ).
thf(zip_derived_cl114,plain,
( ~ ( leq @ one @ ( addition @ ( multiplication @ ( c @ sk__1 ) @ ( c @ sk__2 ) ) @ ( addition @ ( multiplication @ ( c @ sk__1 ) @ sk__2 ) @ ( addition @ ( multiplication @ sk__1 @ sk__2 ) @ ( multiplication @ sk__1 @ ( c @ sk__2 ) ) ) ) ) )
| ~ ( leq @ ( addition @ ( multiplication @ ( c @ sk__1 ) @ ( c @ sk__2 ) ) @ ( addition @ ( multiplication @ ( c @ sk__1 ) @ sk__2 ) @ ( addition @ ( multiplication @ sk__1 @ sk__2 ) @ ( multiplication @ sk__1 @ ( c @ sk__2 ) ) ) ) ) @ one ) ),
inference(demod,[status(thm)],[zip_derived_cl22,zip_derived_cl0,zip_derived_cl0,zip_derived_cl0,zip_derived_cl0]) ).
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_cl7_004,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_cl150,plain,
( ~ ( leq @ one @ ( addition @ ( multiplication @ ( c @ sk__1 ) @ ( c @ sk__2 ) ) @ ( addition @ ( multiplication @ ( c @ sk__1 ) @ sk__2 ) @ ( multiplication @ sk__1 @ ( addition @ sk__2 @ ( c @ sk__2 ) ) ) ) ) )
| ~ ( leq @ ( addition @ ( multiplication @ ( c @ sk__1 ) @ ( c @ sk__2 ) ) @ ( addition @ ( multiplication @ ( c @ sk__1 ) @ sk__2 ) @ ( multiplication @ sk__1 @ ( addition @ sk__2 @ ( c @ sk__2 ) ) ) ) ) @ one ) ),
inference(demod,[status(thm)],[zip_derived_cl114,zip_derived_cl7,zip_derived_cl7]) ).
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_cl83,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_cl198,plain,
! [X0: $i] :
( ( ( addition @ ( c @ X0 ) @ X0 )
= one )
| ~ ( test @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl83]) ).
thf(zip_derived_cl23,plain,
test @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl204,plain,
( ( addition @ ( c @ sk__2 ) @ sk__2 )
= one ),
inference('s_sup+',[status(thm)],[zip_derived_cl198,zip_derived_cl23]) ).
thf(zip_derived_cl0_005,plain,
! [X0: $i,X1: $i] :
( ( addition @ X1 @ X0 )
= ( addition @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[additive_commutativity]) ).
thf(zip_derived_cl211,plain,
( ( addition @ sk__2 @ ( c @ sk__2 ) )
= one ),
inference('s_sup+',[status(thm)],[zip_derived_cl204,zip_derived_cl0]) ).
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_cl0_006,plain,
! [X0: $i,X1: $i] :
( ( addition @ X1 @ X0 )
= ( addition @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[additive_commutativity]) ).
thf(zip_derived_cl0_007,plain,
! [X0: $i,X1: $i] :
( ( addition @ X1 @ X0 )
= ( addition @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[additive_commutativity]) ).
thf(additive_associativity,axiom,
! [C: $i,B: $i,A: $i] :
( ( addition @ A @ ( addition @ B @ C ) )
= ( addition @ ( addition @ A @ B ) @ C ) ) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( addition @ X0 @ ( addition @ X1 @ X2 ) )
= ( addition @ ( addition @ X0 @ X1 ) @ X2 ) ),
inference(cnf,[status(esa)],[additive_associativity]) ).
thf(zip_derived_cl7_008,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_cl211_009,plain,
( ( addition @ sk__2 @ ( c @ sk__2 ) )
= one ),
inference('s_sup+',[status(thm)],[zip_derived_cl204,zip_derived_cl0]) ).
thf(zip_derived_cl5_010,plain,
! [X0: $i] :
( ( multiplication @ X0 @ one )
= X0 ),
inference(cnf,[status(esa)],[multiplicative_right_identity]) ).
thf(zip_derived_cl198_011,plain,
! [X0: $i] :
( ( ( addition @ ( c @ X0 ) @ X0 )
= one )
| ~ ( test @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl83]) ).
thf(zip_derived_cl24,plain,
test @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl203,plain,
( ( addition @ ( c @ sk__1 ) @ sk__1 )
= one ),
inference('s_sup+',[status(thm)],[zip_derived_cl198,zip_derived_cl24]) ).
thf(zip_derived_cl0_012,plain,
! [X0: $i,X1: $i] :
( ( addition @ X1 @ X0 )
= ( addition @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[additive_commutativity]) ).
thf(zip_derived_cl208,plain,
( ( addition @ sk__1 @ ( c @ sk__1 ) )
= one ),
inference('s_sup+',[status(thm)],[zip_derived_cl203,zip_derived_cl0]) ).
thf(zip_derived_cl211_013,plain,
( ( addition @ sk__2 @ ( c @ sk__2 ) )
= one ),
inference('s_sup+',[status(thm)],[zip_derived_cl204,zip_derived_cl0]) ).
thf(zip_derived_cl5_014,plain,
! [X0: $i] :
( ( multiplication @ X0 @ one )
= X0 ),
inference(cnf,[status(esa)],[multiplicative_right_identity]) ).
thf(zip_derived_cl0_015,plain,
! [X0: $i,X1: $i] :
( ( addition @ X1 @ X0 )
= ( addition @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[additive_commutativity]) ).
thf(zip_derived_cl0_016,plain,
! [X0: $i,X1: $i] :
( ( addition @ X1 @ X0 )
= ( addition @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[additive_commutativity]) ).
thf(zip_derived_cl1_017,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( addition @ X0 @ ( addition @ X1 @ X2 ) )
= ( addition @ ( addition @ X0 @ X1 ) @ X2 ) ),
inference(cnf,[status(esa)],[additive_associativity]) ).
thf(zip_derived_cl7_018,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_cl211_019,plain,
( ( addition @ sk__2 @ ( c @ sk__2 ) )
= one ),
inference('s_sup+',[status(thm)],[zip_derived_cl204,zip_derived_cl0]) ).
thf(zip_derived_cl5_020,plain,
! [X0: $i] :
( ( multiplication @ X0 @ one )
= X0 ),
inference(cnf,[status(esa)],[multiplicative_right_identity]) ).
thf(zip_derived_cl208_021,plain,
( ( addition @ sk__1 @ ( c @ sk__1 ) )
= one ),
inference('s_sup+',[status(thm)],[zip_derived_cl203,zip_derived_cl0]) ).
thf(zip_derived_cl264,plain,
( ~ ( leq @ one @ one )
| ~ ( leq @ one @ one ) ),
inference(demod,[status(thm)],[zip_derived_cl150,zip_derived_cl211,zip_derived_cl5,zip_derived_cl0,zip_derived_cl0,zip_derived_cl1,zip_derived_cl7,zip_derived_cl211,zip_derived_cl5,zip_derived_cl208,zip_derived_cl211,zip_derived_cl5,zip_derived_cl0,zip_derived_cl0,zip_derived_cl1,zip_derived_cl7,zip_derived_cl211,zip_derived_cl5,zip_derived_cl208]) ).
thf(zip_derived_cl265,plain,
~ ( leq @ one @ one ),
inference(simplify,[status(thm)],[zip_derived_cl264]) ).
thf(zip_derived_cl267,plain,
( ( addition @ one @ one )
!= one ),
inference('s_sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl265]) ).
thf(additive_idempotence,axiom,
! [A: $i] :
( ( addition @ A @ A )
= A ) ).
thf(zip_derived_cl3,plain,
! [X0: $i] :
( ( addition @ X0 @ X0 )
= X0 ),
inference(cnf,[status(esa)],[additive_idempotence]) ).
thf(zip_derived_cl268,plain,
one != one,
inference(demod,[status(thm)],[zip_derived_cl267,zip_derived_cl3]) ).
thf(zip_derived_cl269,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl268]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.15 % Problem : KLE009+3 : TPTP v9.2.0. Released v4.0.0.
% 0.07/0.16 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.kRRNthIVuN true
% 0.13/0.38 % Computer : n024.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8042.1875MB
% 0.13/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Wed Oct 1 14:05:08 EDT 2025
% 0.13/0.38 % CPUTime :
% 0.13/0.38 % Running portfolio for 300 s
% 0.13/0.38 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.39 % Number of cores: 8
% 0.13/0.39 % Python version: Python 3.6.8
% 0.13/0.39 % Running in FO mode
% 0.55/0.74 % Total configuration time : 435
% 0.55/0.74 % Estimated wc time : 1092
% 0.55/0.74 % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.85 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/1.00 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/1.01 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.56/1.01 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/1.02 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.57/1.03 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.57/1.03 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.57/1.04 % Solved by fo/fo6_bce.sh.
% 0.57/1.04 % BCE start: 25
% 0.57/1.04 % BCE eliminated: 1
% 0.57/1.04 % PE start: 24
% 0.57/1.04 logic: eq
% 0.57/1.04 % PE eliminated: 0
% 0.57/1.04 % done 42 iterations in 0.068s
% 0.57/1.04 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.57/1.04 % SZS output start Refutation
% See solution above
% 0.57/1.04
% 0.57/1.04
% 0.57/1.04 % Terminating...
% 1.57/1.23 % Runner terminated.
% 1.57/1.23 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------