TSTP Solution File: KLE034+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : KLE034+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.LUBaAHMnDx true
% Computer : n018.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 05:38:24 EDT 2023
% Result : Theorem 16.65s 3.01s
% Output : Refutation 16.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 22
% Syntax : Number of formulae : 62 ( 36 unt; 13 typ; 0 def)
% Number of atoms : 75 ( 45 equ; 0 cnn)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 372 ( 14 ~; 10 |; 10 &; 332 @)
% ( 3 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 10 ( 10 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 13 usr; 8 con; 0-2 aty)
% Number of variables : 72 ( 0 ^; 72 !; 0 ?; 72 :)
% Comments :
%------------------------------------------------------------------------------
thf(multiplication_type,type,
multiplication: $i > $i > $i ).
thf(sk__3_type,type,
sk__3: $i ).
thf(c_type,type,
c: $i > $i ).
thf(complement_type,type,
complement: $i > $i > $o ).
thf(sk__5_type,type,
sk__5: $i ).
thf(one_type,type,
one: $i ).
thf(addition_type,type,
addition: $i > $i > $i ).
thf(test_type,type,
test: $i > $o ).
thf(sk__2_type,type,
sk__2: $i ).
thf(leq_type,type,
leq: $i > $i > $o ).
thf(sk__4_type,type,
sk__4: $i ).
thf(zero_type,type,
zero: $i ).
thf(sk__1_type,type,
sk__1: $i ).
thf(test_3,axiom,
! [X0: $i,X1: $i] :
( ( test @ X0 )
=> ( ( ( c @ X0 )
= X1 )
<=> ( complement @ X0 @ X1 ) ) ) ).
thf(zip_derived_cl20,plain,
! [X0: $i,X1: $i] :
( ~ ( test @ X0 )
| ( complement @ X0 @ X1 )
| ( ( c @ X0 )
!= X1 ) ),
inference(cnf,[status(esa)],[test_3]) ).
thf(test_2,axiom,
! [X0: $i,X1: $i] :
( ( complement @ X1 @ X0 )
<=> ( ( ( multiplication @ X0 @ X1 )
= zero )
& ( ( multiplication @ X1 @ X0 )
= zero )
& ( ( addition @ X0 @ X1 )
= one ) ) ) ).
thf(zip_derived_cl17,plain,
! [X0: $i,X1: $i] :
( ( ( addition @ X0 @ X1 )
= one )
| ~ ( complement @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[test_2]) ).
thf(zip_derived_cl92,plain,
! [X0: $i,X1: $i] :
( ( ( c @ X0 )
!= X1 )
| ~ ( test @ X0 )
| ( ( addition @ X1 @ X0 )
= one ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl20,zip_derived_cl17]) ).
thf(zip_derived_cl317,plain,
! [X0: $i] :
( ( ( addition @ ( c @ X0 ) @ X0 )
= one )
| ~ ( test @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl92]) ).
thf(goals,conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ( test @ X3 )
& ( test @ X2 )
& ( test @ X4 )
& ( leq @ ( multiplication @ ( multiplication @ X2 @ X0 ) @ ( c @ X3 ) ) @ zero )
& ( leq @ ( multiplication @ ( multiplication @ X3 @ X1 ) @ ( c @ X4 ) ) @ zero ) )
=> ( leq @ ( multiplication @ ( multiplication @ ( multiplication @ X2 @ X0 ) @ X1 ) @ ( c @ X4 ) ) @ zero ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ( test @ X3 )
& ( test @ X2 )
& ( test @ X4 )
& ( leq @ ( multiplication @ ( multiplication @ X2 @ X0 ) @ ( c @ X3 ) ) @ zero )
& ( leq @ ( multiplication @ ( multiplication @ X3 @ X1 ) @ ( c @ X4 ) ) @ zero ) )
=> ( leq @ ( multiplication @ ( multiplication @ ( multiplication @ X2 @ X0 ) @ X1 ) @ ( c @ X4 ) ) @ zero ) ),
inference('cnf.neg',[status(esa)],[goals]) ).
thf(zip_derived_cl23,plain,
leq @ ( multiplication @ ( multiplication @ sk__4 @ sk__2 ) @ ( c @ sk__5 ) ) @ 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_cl79,plain,
( ( addition @ ( multiplication @ ( multiplication @ sk__4 @ sk__2 ) @ ( c @ sk__5 ) ) @ zero )
= zero ),
inference('dp-resolution',[status(thm)],[zip_derived_cl23,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_cl242,plain,
( ( multiplication @ sk__4 @ ( multiplication @ sk__2 @ ( c @ sk__5 ) ) )
= zero ),
inference(demod,[status(thm)],[zip_derived_cl79,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(zip_derived_cl247,plain,
! [X0: $i] :
( ( multiplication @ ( addition @ X0 @ sk__4 ) @ ( multiplication @ sk__2 @ ( c @ sk__5 ) ) )
= ( addition @ ( multiplication @ X0 @ ( multiplication @ sk__2 @ ( c @ sk__5 ) ) ) @ zero ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl242,zip_derived_cl8]) ).
thf(zip_derived_cl2_001,plain,
! [X0: $i] :
( ( addition @ X0 @ zero )
= X0 ),
inference(cnf,[status(esa)],[additive_identity]) ).
thf(zip_derived_cl254,plain,
! [X0: $i] :
( ( multiplication @ ( addition @ X0 @ sk__4 ) @ ( multiplication @ sk__2 @ ( c @ sk__5 ) ) )
= ( multiplication @ X0 @ ( multiplication @ sk__2 @ ( c @ sk__5 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl247,zip_derived_cl2]) ).
thf(zip_derived_cl1000,plain,
( ~ ( test @ sk__4 )
| ( ( multiplication @ one @ ( multiplication @ sk__2 @ ( c @ sk__5 ) ) )
= ( multiplication @ ( c @ sk__4 ) @ ( multiplication @ sk__2 @ ( c @ sk__5 ) ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl317,zip_derived_cl254]) ).
thf(zip_derived_cl25,plain,
test @ sk__4,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
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(zip_derived_cl1016,plain,
( ( multiplication @ sk__2 @ ( c @ sk__5 ) )
= ( multiplication @ ( c @ sk__4 ) @ ( multiplication @ sk__2 @ ( c @ sk__5 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1000,zip_derived_cl25,zip_derived_cl6]) ).
thf(zip_derived_cl27,plain,
leq @ ( multiplication @ ( multiplication @ sk__3 @ sk__1 ) @ ( c @ sk__4 ) ) @ zero,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl11_002,plain,
! [X0: $i,X1: $i] :
( ( ( addition @ X1 @ X0 )
= X0 )
| ~ ( leq @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[order]) ).
thf(zip_derived_cl83,plain,
( ( addition @ ( multiplication @ ( multiplication @ sk__3 @ sk__1 ) @ ( c @ sk__4 ) ) @ zero )
= zero ),
inference('dp-resolution',[status(thm)],[zip_derived_cl27,zip_derived_cl11]) ).
thf(zip_derived_cl4_003,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_004,plain,
! [X0: $i] :
( ( addition @ X0 @ zero )
= X0 ),
inference(cnf,[status(esa)],[additive_identity]) ).
thf(zip_derived_cl267,plain,
( ( multiplication @ sk__3 @ ( multiplication @ sk__1 @ ( c @ sk__4 ) ) )
= zero ),
inference(demod,[status(thm)],[zip_derived_cl83,zip_derived_cl4,zip_derived_cl2]) ).
thf(zip_derived_cl4_005,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_cl269,plain,
! [X0: $i] :
( ( multiplication @ sk__3 @ ( multiplication @ ( multiplication @ sk__1 @ ( c @ sk__4 ) ) @ X0 ) )
= ( multiplication @ zero @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl267,zip_derived_cl4]) ).
thf(zip_derived_cl4_006,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( multiplication @ X0 @ ( multiplication @ X1 @ X2 ) )
= ( multiplication @ ( multiplication @ X0 @ X1 ) @ X2 ) ),
inference(cnf,[status(esa)],[multiplicative_associativity]) ).
thf(left_annihilation,axiom,
! [A: $i] :
( ( multiplication @ zero @ A )
= zero ) ).
thf(zip_derived_cl10,plain,
! [X0: $i] :
( ( multiplication @ zero @ X0 )
= zero ),
inference(cnf,[status(esa)],[left_annihilation]) ).
thf(zip_derived_cl276,plain,
! [X0: $i] :
( ( multiplication @ sk__3 @ ( multiplication @ sk__1 @ ( multiplication @ ( c @ sk__4 ) @ X0 ) ) )
= zero ),
inference(demod,[status(thm)],[zip_derived_cl269,zip_derived_cl4,zip_derived_cl10]) ).
thf(zip_derived_cl8617,plain,
( ( multiplication @ sk__3 @ ( multiplication @ sk__1 @ ( multiplication @ sk__2 @ ( c @ sk__5 ) ) ) )
= zero ),
inference('s_sup+',[status(thm)],[zip_derived_cl1016,zip_derived_cl276]) ).
thf(zip_derived_cl12,plain,
! [X0: $i,X1: $i] :
( ( leq @ X0 @ X1 )
| ( ( addition @ X0 @ X1 )
!= X1 ) ),
inference(cnf,[status(esa)],[order]) ).
thf(zip_derived_cl22,plain,
~ ( leq @ ( multiplication @ ( multiplication @ ( multiplication @ sk__3 @ sk__1 ) @ sk__2 ) @ ( c @ sk__5 ) ) @ zero ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl78,plain,
( ( addition @ ( multiplication @ ( multiplication @ ( multiplication @ sk__3 @ sk__1 ) @ sk__2 ) @ ( c @ sk__5 ) ) @ zero )
!= zero ),
inference('dp-resolution',[status(thm)],[zip_derived_cl12,zip_derived_cl22]) ).
thf(zip_derived_cl4_007,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_cl4_008,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_cl4_009,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_010,plain,
! [X0: $i] :
( ( addition @ X0 @ zero )
= X0 ),
inference(cnf,[status(esa)],[additive_identity]) ).
thf(zip_derived_cl219,plain,
( ( multiplication @ sk__3 @ ( multiplication @ sk__1 @ ( multiplication @ sk__2 @ ( c @ sk__5 ) ) ) )
!= zero ),
inference(demod,[status(thm)],[zip_derived_cl78,zip_derived_cl4,zip_derived_cl4,zip_derived_cl4,zip_derived_cl2]) ).
thf(zip_derived_cl8644,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl8617,zip_derived_cl219]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : KLE034+1 : 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.LUBaAHMnDx true
% 0.13/0.35 % Computer : n018.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 12:00:03 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
% 0.13/0.36 % Running in FO mode
% 0.21/0.70 % Total configuration time : 435
% 0.21/0.70 % Estimated wc time : 1092
% 0.21/0.70 % Estimated cpu time (7 cpus) : 156.0
% 0.61/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.61/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.61/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.61/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.61/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.61/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.61/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 16.65/3.01 % Solved by fo/fo6_bce.sh.
% 16.65/3.01 % BCE start: 28
% 16.65/3.01 % BCE eliminated: 0
% 16.65/3.01 % PE start: 28
% 16.65/3.01 logic: eq
% 16.65/3.01 % PE eliminated: 0
% 16.65/3.01 % done 593 iterations in 2.181s
% 16.65/3.01 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 16.65/3.01 % SZS output start Refutation
% See solution above
% 16.65/3.01
% 16.65/3.01
% 16.65/3.01 % Terminating...
% 17.48/3.19 % Runner terminated.
% 17.48/3.20 % Zipperpin 1.5 exiting
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