TSTP Solution File: KLE142+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : KLE142+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.0q8HvtUFzY true
% Computer : n029.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 Aug 31 05:38:47 EDT 2023
% Result : Theorem 5.58s 1.44s
% Output : Refutation 5.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 17
% Syntax : Number of formulae : 58 ( 39 unt; 7 typ; 0 def)
% Number of atoms : 63 ( 37 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 288 ( 13 ~; 10 |; 0 &; 263 @)
% ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 7 ( 7 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 81 ( 0 ^; 81 !; 0 ?; 81 :)
% 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] :
( ( strong_iteration @ ( strong_iteration @ X0 ) )
= ( strong_iteration @ one ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [X0: $i] :
( ( strong_iteration @ ( strong_iteration @ X0 ) )
= ( strong_iteration @ one ) ),
inference('cnf.neg',[status(esa)],[goals]) ).
thf(zip_derived_cl19,plain,
( ( strong_iteration @ ( strong_iteration @ 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_cl1873,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_cl1880,plain,
! [X0: $i] : ( leq @ X0 @ ( strong_iteration @ one ) ),
inference('sup+',[status(thm)],[zip_derived_cl5,zip_derived_cl1873]) ).
thf(zip_derived_cl17,plain,
! [X0: $i,X1: $i] :
( ( ( addition @ X1 @ X0 )
= X0 )
| ~ ( leq @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[order]) ).
thf(zip_derived_cl1881,plain,
! [X0: $i] :
( ( addition @ X0 @ ( strong_iteration @ one ) )
= ( strong_iteration @ one ) ),
inference('sup-',[status(thm)],[zip_derived_cl1880,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_cl1917,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_cl1881,zip_derived_cl15]) ).
thf(zip_derived_cl1880_002,plain,
! [X0: $i] : ( leq @ X0 @ ( strong_iteration @ one ) ),
inference('sup+',[status(thm)],[zip_derived_cl5,zip_derived_cl1873]) ).
thf(zip_derived_cl1938,plain,
! [X0: $i,X1: $i] : ( leq @ X0 @ ( multiplication @ ( strong_iteration @ X1 ) @ ( strong_iteration @ one ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1917,zip_derived_cl1880]) ).
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_cl4481,plain,
! [X0: $i] : ( leq @ ( strong_iteration @ one ) @ ( multiplication @ ( strong_iteration @ ( strong_iteration @ X0 ) ) @ zero ) ),
inference('sup-',[status(thm)],[zip_derived_cl1938,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_cl4592,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_cl4481,zip_derived_cl17]) ).
thf(zip_derived_cl1881_005,plain,
! [X0: $i] :
( ( addition @ X0 @ ( strong_iteration @ one ) )
= ( strong_iteration @ one ) ),
inference('sup-',[status(thm)],[zip_derived_cl1880,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_cl1887,plain,
! [X0: $i] :
( ( addition @ ( strong_iteration @ one ) @ X0 )
= ( strong_iteration @ one ) ),
inference('sup+',[status(thm)],[zip_derived_cl1881,zip_derived_cl0]) ).
thf(zip_derived_cl4596,plain,
! [X0: $i] :
( ( strong_iteration @ one )
= ( multiplication @ ( strong_iteration @ ( strong_iteration @ X0 ) ) @ zero ) ),
inference(demod,[status(thm)],[zip_derived_cl4592,zip_derived_cl1887]) ).
thf(distributivity1,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)],[distributivity1]) ).
thf(zip_derived_cl4631,plain,
! [X0: $i,X1: $i] :
( ( multiplication @ ( strong_iteration @ ( strong_iteration @ X1 ) ) @ ( addition @ zero @ X0 ) )
= ( addition @ ( strong_iteration @ one ) @ ( multiplication @ ( strong_iteration @ ( strong_iteration @ X1 ) ) @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl4596,zip_derived_cl7]) ).
thf(zip_derived_cl2_006,plain,
! [X0: $i] :
( ( addition @ X0 @ zero )
= X0 ),
inference(cnf,[status(esa)],[additive_identity]) ).
thf(zip_derived_cl0_007,plain,
! [X0: $i,X1: $i] :
( ( addition @ X1 @ X0 )
= ( addition @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[additive_commutativity]) ).
thf(zip_derived_cl21,plain,
! [X0: $i] :
( X0
= ( addition @ zero @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl0]) ).
thf(zip_derived_cl1887_008,plain,
! [X0: $i] :
( ( addition @ ( strong_iteration @ one ) @ X0 )
= ( strong_iteration @ one ) ),
inference('sup+',[status(thm)],[zip_derived_cl1881,zip_derived_cl0]) ).
thf(zip_derived_cl4656,plain,
! [X0: $i,X1: $i] :
( ( multiplication @ ( strong_iteration @ ( strong_iteration @ X1 ) ) @ X0 )
= ( strong_iteration @ one ) ),
inference(demod,[status(thm)],[zip_derived_cl4631,zip_derived_cl21,zip_derived_cl1887]) ).
thf(zip_derived_cl5_009,plain,
! [X0: $i] :
( ( multiplication @ X0 @ one )
= X0 ),
inference(cnf,[status(esa)],[multiplicative_right_identity]) ).
thf(zip_derived_cl5040,plain,
! [X0: $i] :
( ( strong_iteration @ one )
= ( strong_iteration @ ( strong_iteration @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl4656,zip_derived_cl5]) ).
thf(zip_derived_cl5101,plain,
( ( strong_iteration @ one )
!= ( strong_iteration @ one ) ),
inference(demod,[status(thm)],[zip_derived_cl19,zip_derived_cl5040]) ).
thf(zip_derived_cl5102,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl5101]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KLE142+1 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.0q8HvtUFzY true
% 0.13/0.34 % Computer : n029.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 : Tue Aug 29 12:42:56 EDT 2023
% 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
% 0.53/0.66 % Total configuration time : 435
% 0.53/0.66 % Estimated wc time : 1092
% 0.53/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.53/0.69 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.53/0.70 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.53/0.71 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.72 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.74 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.54/0.75 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 5.58/1.44 % Solved by fo/fo5.sh.
% 5.58/1.44 % done 771 iterations in 0.675s
% 5.58/1.44 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 5.58/1.44 % SZS output start Refutation
% See solution above
% 5.58/1.44
% 5.58/1.44
% 5.58/1.44 % Terminating...
% 6.68/1.55 % Runner terminated.
% 6.68/1.56 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------