TSTP Solution File: KLE035+2 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : KLE035+2 : 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.hVsePfV9jc true
% Computer : n005.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 1.42s 0.80s
% Output : Refutation 1.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 16
% Syntax : Number of formulae : 40 ( 24 unt; 10 typ; 0 def)
% Number of atoms : 42 ( 24 equ; 0 cnn)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 236 ( 8 ~; 3 |; 6 &; 216 @)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 45 ( 0 ^; 45 !; 0 ?; 45 :)
% Comments :
%------------------------------------------------------------------------------
thf(multiplication_type,type,
multiplication: $i > $i > $i ).
thf(sk__1_type,type,
sk__1: $i ).
thf(c_type,type,
c: $i > $i ).
thf(sk__3_type,type,
sk__3: $i ).
thf(addition_type,type,
addition: $i > $i > $i ).
thf(test_type,type,
test: $i > $o ).
thf(sk__4_type,type,
sk__4: $i ).
thf(sk__2_type,type,
sk__2: $i ).
thf(leq_type,type,
leq: $i > $i > $o ).
thf(zero_type,type,
zero: $i ).
thf(goals,conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( test @ X3 )
& ( test @ X2 )
& ( leq @ ( multiplication @ ( multiplication @ X2 @ X0 ) @ ( c @ X3 ) ) @ zero )
& ( leq @ ( multiplication @ ( multiplication @ X2 @ X1 ) @ ( c @ X3 ) ) @ zero ) )
=> ( leq @ ( multiplication @ ( multiplication @ X2 @ ( addition @ X0 @ X1 ) ) @ ( c @ X3 ) ) @ zero ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( test @ X3 )
& ( test @ X2 )
& ( leq @ ( multiplication @ ( multiplication @ X2 @ X0 ) @ ( c @ X3 ) ) @ zero )
& ( leq @ ( multiplication @ ( multiplication @ X2 @ X1 ) @ ( c @ X3 ) ) @ zero ) )
=> ( leq @ ( multiplication @ ( multiplication @ X2 @ ( addition @ X0 @ X1 ) ) @ ( c @ X3 ) ) @ zero ) ),
inference('cnf.neg',[status(esa)],[goals]) ).
thf(zip_derived_cl26,plain,
leq @ ( multiplication @ ( multiplication @ sk__3 @ sk__1 ) @ ( c @ sk__4 ) ) @ zero,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
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_cl90,plain,
( ( addition @ ( multiplication @ ( multiplication @ sk__3 @ sk__1 ) @ ( c @ sk__4 ) ) @ zero )
= zero ),
inference('dp-resolution',[status(thm)],[zip_derived_cl26,zip_derived_cl11]) ).
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(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_cl435,plain,
( ( multiplication @ sk__3 @ ( multiplication @ sk__1 @ ( c @ sk__4 ) ) )
= zero ),
inference(demod,[status(thm)],[zip_derived_cl90,zip_derived_cl4,zip_derived_cl2]) ).
thf(zip_derived_cl12,plain,
! [X0: $i,X1: $i] :
( ( leq @ X0 @ X1 )
| ( ( addition @ X0 @ X1 )
!= X1 ) ),
inference(cnf,[status(esa)],[order]) ).
thf(zip_derived_cl24,plain,
~ ( leq @ ( multiplication @ ( multiplication @ sk__3 @ ( addition @ sk__1 @ sk__2 ) ) @ ( c @ sk__4 ) ) @ zero ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl85,plain,
( ( addition @ ( multiplication @ ( multiplication @ sk__3 @ ( addition @ sk__1 @ sk__2 ) ) @ ( c @ sk__4 ) ) @ zero )
!= zero ),
inference('dp-resolution',[status(thm)],[zip_derived_cl12,zip_derived_cl24]) ).
thf(zip_derived_cl4_001,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_cl2_002,plain,
! [X0: $i] :
( ( addition @ X0 @ zero )
= X0 ),
inference(cnf,[status(esa)],[additive_identity]) ).
thf(zip_derived_cl200,plain,
( ( multiplication @ sk__3 @ ( multiplication @ ( addition @ sk__1 @ sk__2 ) @ ( c @ sk__4 ) ) )
!= zero ),
inference(demod,[status(thm)],[zip_derived_cl85,zip_derived_cl4,zip_derived_cl2]) ).
thf(left_distributivity,axiom,
! [A: $i,B: $i,C: $i] :
( ( multiplication @ ( addition @ A @ B ) @ C )
= ( addition @ ( multiplication @ A @ C ) @ ( multiplication @ B @ C ) ) ) ).
thf(zip_derived_cl8,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( multiplication @ ( addition @ X0 @ X2 ) @ X1 )
= ( addition @ ( multiplication @ X0 @ X1 ) @ ( multiplication @ X2 @ X1 ) ) ),
inference(cnf,[status(esa)],[left_distributivity]) ).
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_cl25,plain,
leq @ ( multiplication @ ( multiplication @ sk__3 @ sk__2 ) @ ( c @ sk__4 ) ) @ zero,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl11_003,plain,
! [X0: $i,X1: $i] :
( ( ( addition @ X1 @ X0 )
= X0 )
| ~ ( leq @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[order]) ).
thf(zip_derived_cl86,plain,
( ( addition @ ( multiplication @ ( multiplication @ sk__3 @ sk__2 ) @ ( c @ sk__4 ) ) @ zero )
= zero ),
inference('dp-resolution',[status(thm)],[zip_derived_cl25,zip_derived_cl11]) ).
thf(zip_derived_cl4_004,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_cl2_005,plain,
! [X0: $i] :
( ( addition @ X0 @ zero )
= X0 ),
inference(cnf,[status(esa)],[additive_identity]) ).
thf(zip_derived_cl273,plain,
( ( multiplication @ sk__3 @ ( multiplication @ sk__2 @ ( c @ sk__4 ) ) )
= zero ),
inference(demod,[status(thm)],[zip_derived_cl86,zip_derived_cl4,zip_derived_cl2]) ).
thf(zip_derived_cl2_006,plain,
! [X0: $i] :
( ( addition @ X0 @ zero )
= X0 ),
inference(cnf,[status(esa)],[additive_identity]) ).
thf(zip_derived_cl284,plain,
( ( multiplication @ sk__3 @ ( multiplication @ sk__1 @ ( c @ sk__4 ) ) )
!= zero ),
inference(demod,[status(thm)],[zip_derived_cl200,zip_derived_cl8,zip_derived_cl7,zip_derived_cl273,zip_derived_cl2]) ).
thf(zip_derived_cl436,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl435,zip_derived_cl284]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : KLE035+2 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.hVsePfV9jc true
% 0.13/0.35 % Computer : n005.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 29 11:30:53 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.36 % Python version: Python 3.6.8
% 0.21/0.36 % Running in FO mode
% 0.22/0.63 % Total configuration time : 435
% 0.22/0.63 % Estimated wc time : 1092
% 0.22/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.26/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.36/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.36/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.36/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.36/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.42/0.80 % Solved by fo/fo3_bce.sh.
% 1.42/0.80 % BCE start: 29
% 1.42/0.80 % BCE eliminated: 0
% 1.42/0.80 % PE start: 29
% 1.42/0.80 logic: eq
% 1.42/0.80 % PE eliminated: 0
% 1.42/0.80 % done 77 iterations in 0.039s
% 1.42/0.80 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.42/0.80 % SZS output start Refutation
% See solution above
% 1.42/0.80
% 1.42/0.80
% 1.42/0.80 % Terminating...
% 1.51/0.86 % Runner terminated.
% 1.51/0.87 % Zipperpin 1.5 exiting
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