TSTP Solution File: KLE037+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : KLE037+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.pxmH3PRupM 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 Aug 31 05:38:25 EDT 2023
% Result : Theorem 76.15s 11.64s
% Output : Refutation 76.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 14
% Syntax : Number of formulae : 47 ( 37 unt; 6 typ; 0 def)
% Number of atoms : 45 ( 33 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 252 ( 5 ~; 3 |; 0 &; 243 @)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 7 ( 7 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 70 ( 0 ^; 70 !; 0 ?; 70 :)
% Comments :
%------------------------------------------------------------------------------
thf(multiplication_type,type,
multiplication: $i > $i > $i ).
thf(one_type,type,
one: $i ).
thf(addition_type,type,
addition: $i > $i > $i ).
thf(star_type,type,
star: $i > $i ).
thf(sk__type,type,
sk_: $i ).
thf(leq_type,type,
leq: $i > $i > $o ).
thf(goals,conjecture,
! [X0: $i] : ( leq @ one @ ( star @ X0 ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [X0: $i] : ( leq @ one @ ( star @ X0 ) ),
inference('cnf.neg',[status(esa)],[goals]) ).
thf(zip_derived_cl17,plain,
~ ( leq @ one @ ( star @ sk_ ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(star_unfold_left,axiom,
! [A: $i] : ( leq @ ( addition @ one @ ( multiplication @ ( star @ A ) @ A ) ) @ ( star @ A ) ) ).
thf(zip_derived_cl14,plain,
! [X0: $i] : ( leq @ ( addition @ one @ ( multiplication @ ( star @ X0 ) @ X0 ) ) @ ( star @ X0 ) ),
inference(cnf,[status(esa)],[star_unfold_left]) ).
thf(order,axiom,
! [A: $i,B: $i] :
( ( leq @ A @ B )
<=> ( ( addition @ A @ B )
= B ) ) ).
thf(zip_derived_cl11,plain,
! [X0: $i,X1: $i] :
( ( ( addition @ X1 @ X0 )
= X0 )
| ~ ( leq @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[order]) ).
thf(zip_derived_cl96,plain,
! [X0: $i] :
( ( addition @ ( addition @ one @ ( multiplication @ ( star @ X0 ) @ X0 ) ) @ ( star @ X0 ) )
= ( star @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl11]) ).
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(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(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_cl31,plain,
! [X0: $i,X1: $i] :
( ( addition @ X0 @ ( addition @ X0 @ X1 ) )
= ( addition @ X0 @ X1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl3,zip_derived_cl1]) ).
thf(zip_derived_cl42,plain,
! [X0: $i,X1: $i] :
( ( addition @ X0 @ ( addition @ X1 @ X0 ) )
= ( addition @ X0 @ X1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl31]) ).
thf(zip_derived_cl42_002,plain,
! [X0: $i,X1: $i] :
( ( addition @ X0 @ ( addition @ X1 @ X0 ) )
= ( addition @ X0 @ X1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl31]) ).
thf(zip_derived_cl65,plain,
! [X0: $i,X1: $i] :
( ( addition @ ( addition @ X0 @ X1 ) @ ( addition @ X1 @ X0 ) )
= ( addition @ ( addition @ X0 @ X1 ) @ X1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl42,zip_derived_cl42]) ).
thf(zip_derived_cl1_003,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_cl3_004,plain,
! [X0: $i] :
( ( addition @ X0 @ X0 )
= X0 ),
inference(cnf,[status(esa)],[additive_idempotence]) ).
thf(zip_derived_cl71,plain,
! [X0: $i,X1: $i] :
( ( addition @ ( addition @ X0 @ X1 ) @ ( addition @ X1 @ X0 ) )
= ( addition @ X0 @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl65,zip_derived_cl1,zip_derived_cl3]) ).
thf(zip_derived_cl1563,plain,
! [X0: $i,X1: $i] :
( ( addition @ ( addition @ X1 @ X0 ) @ ( addition @ X1 @ X0 ) )
= ( addition @ X0 @ X1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl71]) ).
thf(zip_derived_cl7064,plain,
! [X0: $i] :
( ( addition @ ( addition @ ( addition @ one @ ( multiplication @ ( star @ X0 ) @ X0 ) ) @ ( star @ X0 ) ) @ ( star @ X0 ) )
= ( addition @ ( star @ X0 ) @ ( addition @ one @ ( multiplication @ ( star @ X0 ) @ X0 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl96,zip_derived_cl1563]) ).
thf(zip_derived_cl96_005,plain,
! [X0: $i] :
( ( addition @ ( addition @ one @ ( multiplication @ ( star @ X0 ) @ X0 ) ) @ ( star @ X0 ) )
= ( star @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl11]) ).
thf(zip_derived_cl3_006,plain,
! [X0: $i] :
( ( addition @ X0 @ X0 )
= X0 ),
inference(cnf,[status(esa)],[additive_idempotence]) ).
thf(zip_derived_cl1_007,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_cl0_008,plain,
! [X0: $i,X1: $i] :
( ( addition @ X1 @ X0 )
= ( addition @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[additive_commutativity]) ).
thf(zip_derived_cl24,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( addition @ X0 @ ( addition @ X2 @ X1 ) )
= ( addition @ X2 @ ( addition @ X1 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl1,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(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_cl169,plain,
! [X0: $i,X1: $i] :
( ( multiplication @ X0 @ ( addition @ X1 @ one ) )
= ( addition @ ( multiplication @ X0 @ X1 ) @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl5,zip_derived_cl7]) ).
thf(zip_derived_cl7139,plain,
! [X0: $i] :
( ( star @ X0 )
= ( addition @ one @ ( multiplication @ ( star @ X0 ) @ ( addition @ X0 @ one ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7064,zip_derived_cl96,zip_derived_cl3,zip_derived_cl24,zip_derived_cl169]) ).
thf(zip_derived_cl31_009,plain,
! [X0: $i,X1: $i] :
( ( addition @ X0 @ ( addition @ X0 @ X1 ) )
= ( addition @ X0 @ X1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl3,zip_derived_cl1]) ).
thf(zip_derived_cl12,plain,
! [X0: $i,X1: $i] :
( ( leq @ X0 @ X1 )
| ( ( addition @ X0 @ X1 )
!= X1 ) ),
inference(cnf,[status(esa)],[order]) ).
thf(zip_derived_cl84,plain,
! [X0: $i,X1: $i] :
( ( ( addition @ X1 @ X0 )
!= ( addition @ X1 @ X0 ) )
| ( leq @ X1 @ ( addition @ X1 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl12]) ).
thf(zip_derived_cl90,plain,
! [X0: $i,X1: $i] : ( leq @ X1 @ ( addition @ X1 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl84]) ).
thf(zip_derived_cl28857,plain,
! [X0: $i] : ( leq @ one @ ( star @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl7139,zip_derived_cl90]) ).
thf(zip_derived_cl29113,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl17,zip_derived_cl28857]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KLE037+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.pxmH3PRupM true
% 0.14/0.34 % Computer : n014.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
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 29 11:16:00 EDT 2023
% 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
% 0.21/0.62 % Total configuration time : 435
% 0.21/0.62 % Estimated wc time : 1092
% 0.21/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.72 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 76.15/11.64 % Solved by fo/fo5.sh.
% 76.15/11.64 % done 1879 iterations in 10.864s
% 76.15/11.64 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 76.15/11.64 % SZS output start Refutation
% See solution above
% 76.15/11.64
% 76.15/11.64
% 76.15/11.64 % Terminating...
% 77.50/11.75 % Runner terminated.
% 77.50/11.76 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------