TSTP Solution File: KLE167+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : KLE167+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.jWEKC5duf1 true
% Computer : n009.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 05:38:54 EDT 2023
% Result : Theorem 4.17s 1.17s
% Output : Refutation 4.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 18
% Syntax : Number of formulae : 46 ( 25 unt; 8 typ; 0 def)
% Number of atoms : 53 ( 29 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 248 ( 13 ~; 9 |; 2 &; 220 @)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 7 ( 7 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 58 ( 0 ^; 58 !; 0 ?; 58 :)
% Comments :
%------------------------------------------------------------------------------
thf(multiplication_type,type,
multiplication: $i > $i > $i ).
thf(star_type,type,
star: $i > $i ).
thf(sk__type,type,
sk_: $i ).
thf(one_type,type,
one: $i ).
thf(addition_type,type,
addition: $i > $i > $i ).
thf(leq_type,type,
leq: $i > $i > $o ).
thf(sk__1_type,type,
sk__1: $i ).
thf(zero_type,type,
zero: $i ).
thf(star_induction2,axiom,
! [A: $i,B: $i,C: $i] :
( ( leq @ ( addition @ ( multiplication @ C @ A ) @ B ) @ C )
=> ( leq @ ( multiplication @ B @ ( star @ A ) ) @ C ) ) ).
thf(zip_derived_cl13,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( leq @ ( multiplication @ X0 @ ( star @ X1 ) ) @ X2 )
| ~ ( leq @ ( addition @ ( multiplication @ X2 @ X1 ) @ X0 ) @ X2 ) ),
inference(cnf,[status(esa)],[star_induction2]) ).
thf(goals,conjecture,
! [X0: $i,X1: $i] :
( ( leq @ X0 @ ( multiplication @ X0 @ ( star @ X1 ) ) )
& ( ( ( multiplication @ X0 @ X1 )
= zero )
=> ( leq @ ( multiplication @ X0 @ ( star @ X1 ) ) @ X0 ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [X0: $i,X1: $i] :
( ( leq @ X0 @ ( multiplication @ X0 @ ( star @ X1 ) ) )
& ( ( ( multiplication @ X0 @ X1 )
= zero )
=> ( leq @ ( multiplication @ X0 @ ( star @ X1 ) ) @ X0 ) ) ),
inference('cnf.neg',[status(esa)],[goals]) ).
thf(zip_derived_cl19,plain,
( ~ ( leq @ sk_ @ ( multiplication @ sk_ @ ( star @ sk__1 ) ) )
| ~ ( leq @ ( multiplication @ sk_ @ ( star @ sk__1 ) ) @ sk_ ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(star_unfold1,axiom,
! [A: $i] :
( ( addition @ one @ ( multiplication @ A @ ( star @ A ) ) )
= ( star @ A ) ) ).
thf(zip_derived_cl10,plain,
! [X0: $i] :
( ( addition @ one @ ( multiplication @ X0 @ ( star @ X0 ) ) )
= ( star @ X0 ) ),
inference(cnf,[status(esa)],[star_unfold1]) ).
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_cl32,plain,
! [X0: $i,X1: $i] :
( ( addition @ X0 @ ( addition @ X0 @ X1 ) )
= ( addition @ X0 @ X1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3,zip_derived_cl1]) ).
thf(zip_derived_cl656,plain,
! [X0: $i] :
( ( addition @ one @ ( star @ X0 ) )
= ( star @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl10,zip_derived_cl32]) ).
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(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_cl97,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( leq @ ( multiplication @ X2 @ X1 ) @ ( multiplication @ X2 @ X0 ) )
| ( ( multiplication @ X2 @ ( addition @ X1 @ X0 ) )
!= ( multiplication @ X2 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl18]) ).
thf(zip_derived_cl1970,plain,
! [X0: $i,X1: $i] :
( ( leq @ ( multiplication @ X1 @ one ) @ ( multiplication @ X1 @ ( star @ X0 ) ) )
| ( ( multiplication @ X1 @ ( star @ X0 ) )
!= ( multiplication @ X1 @ ( star @ X0 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl656,zip_derived_cl97]) ).
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_cl2006,plain,
! [X0: $i,X1: $i] :
( ( leq @ X1 @ ( multiplication @ X1 @ ( star @ X0 ) ) )
| ( ( multiplication @ X1 @ ( star @ X0 ) )
!= ( multiplication @ X1 @ ( star @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1970,zip_derived_cl5]) ).
thf(zip_derived_cl2007,plain,
! [X0: $i,X1: $i] : ( leq @ X1 @ ( multiplication @ X1 @ ( star @ X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl2006]) ).
thf(zip_derived_cl2192,plain,
~ ( leq @ ( multiplication @ sk_ @ ( star @ sk__1 ) ) @ sk_ ),
inference(demod,[status(thm)],[zip_derived_cl19,zip_derived_cl2007]) ).
thf(zip_derived_cl2281,plain,
~ ( leq @ ( addition @ ( multiplication @ sk_ @ sk__1 ) @ sk_ ) @ sk_ ),
inference('s_sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl2192]) ).
thf(zip_derived_cl20,plain,
( ~ ( leq @ sk_ @ ( multiplication @ sk_ @ ( star @ sk__1 ) ) )
| ( ( multiplication @ sk_ @ sk__1 )
= zero ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2007_001,plain,
! [X0: $i,X1: $i] : ( leq @ X1 @ ( multiplication @ X1 @ ( star @ X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl2006]) ).
thf(zip_derived_cl2193,plain,
( ( multiplication @ sk_ @ sk__1 )
= zero ),
inference(demod,[status(thm)],[zip_derived_cl20,zip_derived_cl2007]) ).
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_cl22,plain,
! [X0: $i] :
( X0
= ( addition @ zero @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl0]) ).
thf(zip_derived_cl3_002,plain,
! [X0: $i] :
( ( addition @ X0 @ X0 )
= X0 ),
inference(cnf,[status(esa)],[idempotence]) ).
thf(zip_derived_cl18_003,plain,
! [X0: $i,X1: $i] :
( ( leq @ X0 @ X1 )
| ( ( addition @ X0 @ X1 )
!= X1 ) ),
inference(cnf,[status(esa)],[order]) ).
thf(zip_derived_cl43,plain,
! [X0: $i] :
( ( leq @ X0 @ X0 )
| ( X0 != X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl18]) ).
thf(zip_derived_cl47,plain,
! [X0: $i] : ( leq @ X0 @ X0 ),
inference(simplify,[status(thm)],[zip_derived_cl43]) ).
thf(zip_derived_cl2282,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl2281,zip_derived_cl2193,zip_derived_cl22,zip_derived_cl47]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KLE167+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.jWEKC5duf1 true
% 0.13/0.34 % Computer : n009.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 12:11:35 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.43/0.63 % Total configuration time : 435
% 0.43/0.63 % Estimated wc time : 1092
% 0.43/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.54/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 4.17/1.17 % Solved by fo/fo13.sh.
% 4.17/1.17 % done 338 iterations in 0.398s
% 4.17/1.17 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 4.17/1.17 % SZS output start Refutation
% See solution above
% 4.17/1.17
% 4.17/1.17
% 4.17/1.17 % Terminating...
% 4.17/1.25 % Runner terminated.
% 4.17/1.26 % Zipperpin 1.5 exiting
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