%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : KLE141+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.7FC8Hp507B 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 04:40:21 PM UTC 2025
% Result : Theorem 5.18s 1.39s
% Output : Refutation 5.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 11
% Syntax : Number of formulae : 48 ( 36 unt; 0 typ; 0 def)
% Number of atoms : 60 ( 34 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 274 ( 13 ~; 10 |; 0 &; 249 @)
% ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 76 ( 0 ^; 76 !; 0 ?; 76 :)
% Comments :
%------------------------------------------------------------------------------
thf(multiplication_type,type,
multiplication: $i > $i > $i ).
thf(one_type,type,
one: $i ).
thf(addition_type,type,
addition: $i > $i > $i ).
thf(leq_type,type,
leq: $i > $i > $o ).
thf(strong_iteration_type,type,
strong_iteration: $i > $i ).
thf(zero_type,type,
zero: $i ).
thf(sk__type,type,
sk_: $i ).
thf(goals,conjecture,
! [X0: $i] :
( ( multiplication @ ( strong_iteration @ one ) @ X0 )
= ( strong_iteration @ one ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [X0: $i] :
( ( multiplication @ ( strong_iteration @ one ) @ X0 )
= ( strong_iteration @ one ) ),
inference('cnf.neg',[status(esa)],[goals]) ).
thf(zip_derived_cl19,plain,
( ( multiplication @ ( strong_iteration @ one ) @ sk_ )
!= ( strong_iteration @ one ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
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(multiplicative_left_identity,axiom,
! [A: $i] :
( ( multiplication @ one @ A )
= A ) ).
thf(zip_derived_cl6,plain,
! [X0: $i] :
( ( multiplication @ one @ X0 )
= X0 ),
inference(cnf,[status(esa)],[multiplicative_left_identity]) ).
thf(infty_coinduction,axiom,
! [A: $i,B: $i,C: $i] :
( ( leq @ C @ ( addition @ ( multiplication @ A @ C ) @ B ) )
=> ( leq @ C @ ( multiplication @ ( strong_iteration @ A ) @ B ) ) ) ).
thf(zip_derived_cl15,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( leq @ X0 @ ( multiplication @ ( strong_iteration @ X1 ) @ X2 ) )
| ~ ( leq @ X0 @ ( addition @ ( multiplication @ X1 @ X0 ) @ X2 ) ) ),
inference(cnf,[status(esa)],[infty_coinduction]) ).
thf(zip_derived_cl178,plain,
! [X0: $i,X1: $i] :
( ~ ( leq @ X0 @ ( addition @ X0 @ X1 ) )
| ( leq @ X0 @ ( multiplication @ ( strong_iteration @ one ) @ X1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl15]) ).
thf(idempotence,axiom,
! [A: $i] :
( ( addition @ A @ A )
= A ) ).
thf(zip_derived_cl3,plain,
! [X0: $i] :
( ( addition @ X0 @ X0 )
= X0 ),
inference(cnf,[status(esa)],[idempotence]) ).
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_cl33,plain,
! [X0: $i,X1: $i] :
( ( addition @ X0 @ ( addition @ X0 @ X1 ) )
= ( addition @ X0 @ X1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl3,zip_derived_cl1]) ).
thf(order,axiom,
! [A: $i,B: $i] :
( ( leq @ A @ B )
<=> ( ( addition @ A @ B )
= B ) ) ).
thf(zip_derived_cl18,plain,
! [X0: $i,X1: $i] :
( ( leq @ X0 @ X1 )
| ( ( addition @ X0 @ X1 )
!= X1 ) ),
inference(cnf,[status(esa)],[order]) ).
thf(zip_derived_cl86,plain,
! [X0: $i,X1: $i] :
( ( ( addition @ X1 @ X0 )
!= ( addition @ X1 @ X0 ) )
| ( leq @ X1 @ ( addition @ X1 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl33,zip_derived_cl18]) ).
thf(zip_derived_cl92,plain,
! [X0: $i,X1: $i] : ( leq @ X1 @ ( addition @ X1 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl86]) ).
thf(zip_derived_cl2743,plain,
! [X0: $i,X1: $i] : ( leq @ X0 @ ( multiplication @ ( strong_iteration @ one ) @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl178,zip_derived_cl92]) ).
thf(zip_derived_cl2750,plain,
! [X0: $i] : ( leq @ X0 @ ( strong_iteration @ one ) ),
inference('sup+',[status(thm)],[zip_derived_cl5,zip_derived_cl2743]) ).
thf(zip_derived_cl17,plain,
! [X0: $i,X1: $i] :
( ( ( addition @ X1 @ X0 )
= X0 )
| ~ ( leq @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[order]) ).
thf(zip_derived_cl2751,plain,
! [X0: $i] :
( ( addition @ X0 @ ( strong_iteration @ one ) )
= ( strong_iteration @ one ) ),
inference('sup-',[status(thm)],[zip_derived_cl2750,zip_derived_cl17]) ).
thf(zip_derived_cl15_001,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( leq @ X0 @ ( multiplication @ ( strong_iteration @ X1 ) @ X2 ) )
| ~ ( leq @ X0 @ ( addition @ ( multiplication @ X1 @ X0 ) @ X2 ) ) ),
inference(cnf,[status(esa)],[infty_coinduction]) ).
thf(zip_derived_cl2791,plain,
! [X0: $i,X1: $i] :
( ~ ( leq @ X0 @ ( strong_iteration @ one ) )
| ( leq @ X0 @ ( multiplication @ ( strong_iteration @ X1 ) @ ( strong_iteration @ one ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl2751,zip_derived_cl15]) ).
thf(zip_derived_cl2750_002,plain,
! [X0: $i] : ( leq @ X0 @ ( strong_iteration @ one ) ),
inference('sup+',[status(thm)],[zip_derived_cl5,zip_derived_cl2743]) ).
thf(zip_derived_cl2822,plain,
! [X0: $i,X1: $i] : ( leq @ X0 @ ( multiplication @ ( strong_iteration @ X1 ) @ ( strong_iteration @ one ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2791,zip_derived_cl2750]) ).
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(zip_derived_cl15_003,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( leq @ X0 @ ( multiplication @ ( strong_iteration @ X1 ) @ X2 ) )
| ~ ( leq @ X0 @ ( addition @ ( multiplication @ X1 @ X0 ) @ X2 ) ) ),
inference(cnf,[status(esa)],[infty_coinduction]) ).
thf(zip_derived_cl173,plain,
! [X0: $i,X1: $i] :
( ~ ( leq @ X0 @ ( multiplication @ X1 @ X0 ) )
| ( leq @ X0 @ ( multiplication @ ( strong_iteration @ X1 ) @ zero ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl15]) ).
thf(zip_derived_cl3343,plain,
! [X0: $i] : ( leq @ ( strong_iteration @ one ) @ ( multiplication @ ( strong_iteration @ ( strong_iteration @ X0 ) ) @ zero ) ),
inference('sup-',[status(thm)],[zip_derived_cl2822,zip_derived_cl173]) ).
thf(zip_derived_cl17_004,plain,
! [X0: $i,X1: $i] :
( ( ( addition @ X1 @ X0 )
= X0 )
| ~ ( leq @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[order]) ).
thf(zip_derived_cl3362,plain,
! [X0: $i] :
( ( addition @ ( strong_iteration @ one ) @ ( multiplication @ ( strong_iteration @ ( strong_iteration @ X0 ) ) @ zero ) )
= ( multiplication @ ( strong_iteration @ ( strong_iteration @ X0 ) ) @ zero ) ),
inference('sup-',[status(thm)],[zip_derived_cl3343,zip_derived_cl17]) ).
thf(zip_derived_cl2751_005,plain,
! [X0: $i] :
( ( addition @ X0 @ ( strong_iteration @ one ) )
= ( strong_iteration @ one ) ),
inference('sup-',[status(thm)],[zip_derived_cl2750,zip_derived_cl17]) ).
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_cl2757,plain,
! [X0: $i] :
( ( addition @ ( strong_iteration @ one ) @ X0 )
= ( strong_iteration @ one ) ),
inference('sup+',[status(thm)],[zip_derived_cl2751,zip_derived_cl0]) ).
thf(zip_derived_cl3366,plain,
! [X0: $i] :
( ( strong_iteration @ one )
= ( multiplication @ ( strong_iteration @ ( strong_iteration @ X0 ) ) @ zero ) ),
inference(demod,[status(thm)],[zip_derived_cl3362,zip_derived_cl2757]) ).
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(zip_derived_cl3369,plain,
! [X0: $i,X1: $i] :
( ( multiplication @ ( strong_iteration @ ( strong_iteration @ X1 ) ) @ ( multiplication @ zero @ X0 ) )
= ( multiplication @ ( strong_iteration @ one ) @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl3366,zip_derived_cl4]) ).
thf(left_annihilation,axiom,
! [A: $i] :
( ( multiplication @ zero @ A )
= zero ) ).
thf(zip_derived_cl9,plain,
! [X0: $i] :
( ( multiplication @ zero @ X0 )
= zero ),
inference(cnf,[status(esa)],[left_annihilation]) ).
thf(zip_derived_cl3366_006,plain,
! [X0: $i] :
( ( strong_iteration @ one )
= ( multiplication @ ( strong_iteration @ ( strong_iteration @ X0 ) ) @ zero ) ),
inference(demod,[status(thm)],[zip_derived_cl3362,zip_derived_cl2757]) ).
thf(zip_derived_cl3388,plain,
! [X0: $i] :
( ( strong_iteration @ one )
= ( multiplication @ ( strong_iteration @ one ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl3369,zip_derived_cl9,zip_derived_cl3366]) ).
thf(zip_derived_cl3654,plain,
( ( strong_iteration @ one )
!= ( strong_iteration @ one ) ),
inference(demod,[status(thm)],[zip_derived_cl19,zip_derived_cl3388]) ).
thf(zip_derived_cl3655,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl3654]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KLE141+1 : TPTP v9.2.0. Released v4.0.0.
% 0.13/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.7FC8Hp507B true
% 0.14/0.34 % Computer : n006.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Wed Oct 1 14:01:53 EDT 2025
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.55/0.64 % Total configuration time : 435
% 0.55/0.64 % Estimated wc time : 1092
% 0.55/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.78 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.80 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 5.18/1.39 % Solved by fo/fo5.sh.
% 5.18/1.39 % done 566 iterations in 0.577s
% 5.18/1.39 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 5.18/1.39 % SZS output start Refutation
% See solution above
% 5.18/1.39
% 5.18/1.39
% 5.18/1.39 % Terminating...
% 5.66/1.45 % Runner terminated.
% 5.66/1.47 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------