TSTP Solution File: KLE022+4 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : KLE022+4 : 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.3VNnyrDPNj true
% Computer : n028.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 05:38:20 EDT 2023
% Result : Theorem 0.57s 0.79s
% Output : Refutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 18
% Syntax : Number of formulae : 45 ( 16 unt; 10 typ; 0 def)
% Number of atoms : 62 ( 37 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 312 ( 25 ~; 17 |; 4 &; 260 @)
% ( 3 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 10 ( 10 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 47 ( 0 ^; 47 !; 0 ?; 47 :)
% Comments :
%------------------------------------------------------------------------------
thf(multiplication_type,type,
multiplication: $i > $i > $i ).
thf(c_type,type,
c: $i > $i ).
thf(complement_type,type,
complement: $i > $i > $o ).
thf(one_type,type,
one: $i ).
thf(sk__1_type,type,
sk__1: $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(zero_type,type,
zero: $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_cl78,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_cl236,plain,
! [X0: $i] :
( ( ( addition @ ( c @ X0 ) @ X0 )
= one )
| ~ ( test @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl78]) ).
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_cl443,plain,
! [X0: $i] :
( ~ ( test @ X0 )
| ( ( addition @ X0 @ ( c @ X0 ) )
= one ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl236,zip_derived_cl0]) ).
thf(order,axiom,
! [A: $i,B: $i] :
( ( leq @ A @ B )
<=> ( ( addition @ A @ B )
= B ) ) ).
thf(zip_derived_cl12,plain,
! [X0: $i,X1: $i] :
( ( leq @ X0 @ X1 )
| ( ( addition @ X0 @ X1 )
!= X1 ) ),
inference(cnf,[status(esa)],[order]) ).
thf(zip_derived_cl12_001,plain,
! [X0: $i,X1: $i] :
( ( leq @ X0 @ X1 )
| ( ( addition @ X0 @ X1 )
!= X1 ) ),
inference(cnf,[status(esa)],[order]) ).
thf(goals,conjecture,
! [X0: $i,X1: $i] :
( ( test @ X1 )
=> ( ( leq @ X0 @ ( addition @ ( multiplication @ X0 @ X1 ) @ ( multiplication @ X0 @ ( c @ X1 ) ) ) )
& ( leq @ ( addition @ ( multiplication @ X0 @ X1 ) @ ( multiplication @ X0 @ ( c @ X1 ) ) ) @ X0 ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [X0: $i,X1: $i] :
( ( test @ X1 )
=> ( ( leq @ X0 @ ( addition @ ( multiplication @ X0 @ X1 ) @ ( multiplication @ X0 @ ( c @ X1 ) ) ) )
& ( leq @ ( addition @ ( multiplication @ X0 @ X1 ) @ ( multiplication @ X0 @ ( c @ X1 ) ) ) @ X0 ) ) ),
inference('cnf.neg',[status(esa)],[goals]) ).
thf(zip_derived_cl25,plain,
( ~ ( leq @ sk__1 @ ( addition @ ( multiplication @ sk__1 @ sk__2 ) @ ( multiplication @ sk__1 @ ( c @ sk__2 ) ) ) )
| ~ ( leq @ ( addition @ ( multiplication @ sk__1 @ sk__2 ) @ ( multiplication @ sk__1 @ ( c @ sk__2 ) ) ) @ sk__1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl98,plain,
( ( ( addition @ sk__1 @ ( addition @ ( multiplication @ sk__1 @ sk__2 ) @ ( multiplication @ sk__1 @ ( c @ sk__2 ) ) ) )
!= ( addition @ ( multiplication @ sk__1 @ sk__2 ) @ ( multiplication @ sk__1 @ ( c @ sk__2 ) ) ) )
| ~ ( leq @ ( addition @ ( multiplication @ sk__1 @ sk__2 ) @ ( multiplication @ sk__1 @ ( c @ sk__2 ) ) ) @ sk__1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl25]) ).
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_cl7_002,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_cl7_003,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_cl119,plain,
( ( ( addition @ sk__1 @ ( multiplication @ sk__1 @ ( addition @ sk__2 @ ( c @ sk__2 ) ) ) )
!= ( multiplication @ sk__1 @ ( addition @ sk__2 @ ( c @ sk__2 ) ) ) )
| ~ ( leq @ ( multiplication @ sk__1 @ ( addition @ sk__2 @ ( c @ sk__2 ) ) ) @ sk__1 ) ),
inference(demod,[status(thm)],[zip_derived_cl98,zip_derived_cl7,zip_derived_cl7,zip_derived_cl7]) ).
thf(zip_derived_cl251,plain,
( ( ( addition @ ( multiplication @ sk__1 @ ( addition @ sk__2 @ ( c @ sk__2 ) ) ) @ sk__1 )
!= sk__1 )
| ( ( addition @ sk__1 @ ( multiplication @ sk__1 @ ( addition @ sk__2 @ ( c @ sk__2 ) ) ) )
!= ( multiplication @ sk__1 @ ( addition @ sk__2 @ ( c @ sk__2 ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl119]) ).
thf(zip_derived_cl0_004,plain,
! [X0: $i,X1: $i] :
( ( addition @ X1 @ X0 )
= ( addition @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[additive_commutativity]) ).
thf(zip_derived_cl252,plain,
( ( ( addition @ sk__1 @ ( multiplication @ sk__1 @ ( addition @ sk__2 @ ( c @ sk__2 ) ) ) )
!= sk__1 )
| ( ( addition @ sk__1 @ ( multiplication @ sk__1 @ ( addition @ sk__2 @ ( c @ sk__2 ) ) ) )
!= ( multiplication @ sk__1 @ ( addition @ sk__2 @ ( c @ sk__2 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl251,zip_derived_cl0]) ).
thf(zip_derived_cl542,plain,
( ~ ( test @ sk__2 )
| ( ( addition @ sk__1 @ ( multiplication @ sk__1 @ one ) )
!= sk__1 )
| ( ( addition @ sk__1 @ ( multiplication @ sk__1 @ one ) )
!= ( multiplication @ sk__1 @ one ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl443,zip_derived_cl252]) ).
thf(zip_derived_cl24,plain,
test @ sk__2,
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(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(zip_derived_cl5_005,plain,
! [X0: $i] :
( ( multiplication @ X0 @ one )
= X0 ),
inference(cnf,[status(esa)],[multiplicative_right_identity]) ).
thf(zip_derived_cl3_006,plain,
! [X0: $i] :
( ( addition @ X0 @ X0 )
= X0 ),
inference(cnf,[status(esa)],[additive_idempotence]) ).
thf(zip_derived_cl5_007,plain,
! [X0: $i] :
( ( multiplication @ X0 @ one )
= X0 ),
inference(cnf,[status(esa)],[multiplicative_right_identity]) ).
thf(zip_derived_cl559,plain,
( ( sk__1 != sk__1 )
| ( sk__1 != sk__1 ) ),
inference(demod,[status(thm)],[zip_derived_cl542,zip_derived_cl24,zip_derived_cl5,zip_derived_cl3,zip_derived_cl5,zip_derived_cl3,zip_derived_cl5]) ).
thf(zip_derived_cl560,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl559]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : KLE022+4 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.3VNnyrDPNj true
% 0.13/0.34 % Computer : n028.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 12:14:40 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/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
% 0.53/0.66 % Total configuration time : 435
% 0.53/0.66 % Estimated wc time : 1092
% 0.53/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.53/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.53/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.57/0.79 % Solved by fo/fo6_bce.sh.
% 0.57/0.79 % BCE start: 26
% 0.57/0.79 % BCE eliminated: 1
% 0.57/0.79 % PE start: 25
% 0.57/0.79 logic: eq
% 0.57/0.79 % PE eliminated: 0
% 0.57/0.79 % done 91 iterations in 0.064s
% 0.57/0.79 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.57/0.79 % SZS output start Refutation
% See solution above
% 0.57/0.79
% 0.57/0.79
% 0.57/0.79 % Terminating...
% 0.58/0.87 % Runner terminated.
% 0.58/0.88 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------