TSTP Solution File: KLE021+4 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : KLE021+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.cHgDiLjMYk true
% Computer : n002.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 05:38:19 EDT 2023
% Result : Theorem 1.36s 0.84s
% Output : Refutation 1.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 19
% Syntax : Number of formulae : 63 ( 26 unt; 10 typ; 0 def)
% Number of atoms : 87 ( 46 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 537 ( 41 ~; 10 |; 4 &; 462 @)
% ( 3 <=>; 3 =>; 14 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 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 : 59 ( 0 ^; 59 !; 0 ?; 59 :)
% 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(goals,conjecture,
! [X0: $i,X1: $i] :
( ( test @ X1 )
=> ( ( leq @ X0 @ ( addition @ ( multiplication @ X1 @ X0 ) @ ( multiplication @ ( c @ X1 ) @ X0 ) ) )
& ( leq @ ( addition @ ( multiplication @ X1 @ X0 ) @ ( multiplication @ ( c @ X1 ) @ X0 ) ) @ X0 ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [X0: $i,X1: $i] :
( ( test @ X1 )
=> ( ( leq @ X0 @ ( addition @ ( multiplication @ X1 @ X0 ) @ ( multiplication @ ( c @ X1 ) @ X0 ) ) )
& ( leq @ ( addition @ ( multiplication @ X1 @ X0 ) @ ( multiplication @ ( c @ X1 ) @ X0 ) ) @ X0 ) ) ),
inference('cnf.neg',[status(esa)],[goals]) ).
thf(zip_derived_cl24,plain,
test @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
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_cl123,plain,
! [X0: $i,X1: $i] :
( ( ( c @ X1 )
!= X0 )
| ~ ( test @ X1 )
| ( ( addition @ X0 @ X1 )
= one ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl17]) ).
thf(zip_derived_cl171,plain,
! [X0: $i] :
( ( ( c @ sk__2 )
!= X0 )
| ( ( addition @ X0 @ sk__2 )
= one ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl24,zip_derived_cl123]) ).
thf(zip_derived_cl172,plain,
( ( addition @ ( c @ sk__2 ) @ sk__2 )
= one ),
inference(eq_res,[status(thm)],[zip_derived_cl171]) ).
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_cl226,plain,
( ( addition @ sk__2 @ ( c @ sk__2 ) )
= one ),
inference('s_sup+',[status(thm)],[zip_derived_cl172,zip_derived_cl0]) ).
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(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_cl0_001,plain,
! [X0: $i,X1: $i] :
( ( addition @ X1 @ X0 )
= ( addition @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[additive_commutativity]) ).
thf(zip_derived_cl34,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( addition @ X0 @ ( addition @ X2 @ X1 ) )
= ( addition @ X2 @ ( addition @ X1 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1,zip_derived_cl0]) ).
thf(zip_derived_cl25,plain,
( ~ ( leq @ sk__1 @ ( addition @ ( multiplication @ sk__2 @ sk__1 ) @ ( multiplication @ ( c @ sk__2 ) @ sk__1 ) ) )
| ~ ( leq @ ( addition @ ( multiplication @ sk__2 @ sk__1 ) @ ( multiplication @ ( c @ sk__2 ) @ sk__1 ) ) @ sk__1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl26,plain,
( ~ ( leq @ ( addition @ ( multiplication @ sk__2 @ sk__1 ) @ ( multiplication @ ( c @ sk__2 ) @ sk__1 ) ) @ sk__1 )
<= ~ ( leq @ ( addition @ ( multiplication @ sk__2 @ sk__1 ) @ ( multiplication @ ( c @ sk__2 ) @ sk__1 ) ) @ sk__1 ) ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
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_cl52,plain,
( ( ( addition @ ( addition @ ( multiplication @ sk__2 @ sk__1 ) @ ( multiplication @ ( c @ sk__2 ) @ sk__1 ) ) @ sk__1 )
!= sk__1 )
<= ~ ( leq @ ( addition @ ( multiplication @ sk__2 @ sk__1 ) @ ( multiplication @ ( c @ sk__2 ) @ sk__1 ) ) @ sk__1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl26,zip_derived_cl12]) ).
thf(zip_derived_cl1_002,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_003,plain,
! [X0: $i,X1: $i] :
( ( addition @ X1 @ X0 )
= ( addition @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[additive_commutativity]) ).
thf(zip_derived_cl54,plain,
( ( ( addition @ ( multiplication @ sk__2 @ sk__1 ) @ ( addition @ sk__1 @ ( multiplication @ ( c @ sk__2 ) @ sk__1 ) ) )
!= sk__1 )
<= ~ ( leq @ ( addition @ ( multiplication @ sk__2 @ sk__1 ) @ ( multiplication @ ( c @ sk__2 ) @ sk__1 ) ) @ sk__1 ) ),
inference(demod,[status(thm)],[zip_derived_cl52,zip_derived_cl1,zip_derived_cl0]) ).
thf(zip_derived_cl89,plain,
( ( ( addition @ sk__1 @ ( addition @ ( multiplication @ ( c @ sk__2 ) @ sk__1 ) @ ( multiplication @ sk__2 @ sk__1 ) ) )
!= sk__1 )
<= ~ ( leq @ ( addition @ ( multiplication @ sk__2 @ sk__1 ) @ ( multiplication @ ( c @ sk__2 ) @ sk__1 ) ) @ sk__1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl34,zip_derived_cl54]) ).
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_cl120,plain,
( ( ( addition @ sk__1 @ ( addition @ ( multiplication @ sk__2 @ sk__1 ) @ ( multiplication @ ( c @ sk__2 ) @ sk__1 ) ) )
!= sk__1 )
<= ~ ( leq @ ( addition @ ( multiplication @ sk__2 @ sk__1 ) @ ( multiplication @ ( c @ sk__2 ) @ sk__1 ) ) @ sk__1 ) ),
inference(demod,[status(thm)],[zip_derived_cl89,zip_derived_cl0]) ).
thf(zip_derived_cl197,plain,
( ( ( addition @ sk__1 @ ( multiplication @ ( addition @ sk__2 @ ( c @ sk__2 ) ) @ sk__1 ) )
!= sk__1 )
<= ~ ( leq @ ( addition @ ( multiplication @ sk__2 @ sk__1 ) @ ( multiplication @ ( c @ sk__2 ) @ sk__1 ) ) @ sk__1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl120]) ).
thf(zip_derived_cl260,plain,
( ( ( addition @ sk__1 @ ( multiplication @ one @ sk__1 ) )
!= sk__1 )
<= ~ ( leq @ ( addition @ ( multiplication @ sk__2 @ sk__1 ) @ ( multiplication @ ( c @ sk__2 ) @ sk__1 ) ) @ sk__1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl226,zip_derived_cl197]) ).
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(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_cl265,plain,
( ( sk__1 != sk__1 )
<= ~ ( leq @ ( addition @ ( multiplication @ sk__2 @ sk__1 ) @ ( multiplication @ ( c @ sk__2 ) @ sk__1 ) ) @ sk__1 ) ),
inference(demod,[status(thm)],[zip_derived_cl260,zip_derived_cl6,zip_derived_cl3]) ).
thf(zip_derived_cl266,plain,
( $false
<= ~ ( leq @ ( addition @ ( multiplication @ sk__2 @ sk__1 ) @ ( multiplication @ ( c @ sk__2 ) @ sk__1 ) ) @ sk__1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl265]) ).
thf(zip_derived_cl226_005,plain,
( ( addition @ sk__2 @ ( c @ sk__2 ) )
= one ),
inference('s_sup+',[status(thm)],[zip_derived_cl172,zip_derived_cl0]) ).
thf(zip_derived_cl8_006,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_cl12_007,plain,
! [X0: $i,X1: $i] :
( ( leq @ X0 @ X1 )
| ( ( addition @ X0 @ X1 )
!= X1 ) ),
inference(cnf,[status(esa)],[order]) ).
thf(zip_derived_cl27,plain,
( ~ ( leq @ sk__1 @ ( addition @ ( multiplication @ sk__2 @ sk__1 ) @ ( multiplication @ ( c @ sk__2 ) @ sk__1 ) ) )
<= ~ ( leq @ sk__1 @ ( addition @ ( multiplication @ sk__2 @ sk__1 ) @ ( multiplication @ ( c @ sk__2 ) @ sk__1 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
thf(zip_derived_cl51,plain,
( ( ( addition @ sk__1 @ ( addition @ ( multiplication @ sk__2 @ sk__1 ) @ ( multiplication @ ( c @ sk__2 ) @ sk__1 ) ) )
!= ( addition @ ( multiplication @ sk__2 @ sk__1 ) @ ( multiplication @ ( c @ sk__2 ) @ sk__1 ) ) )
<= ~ ( leq @ sk__1 @ ( addition @ ( multiplication @ sk__2 @ sk__1 ) @ ( multiplication @ ( c @ sk__2 ) @ sk__1 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl27]) ).
thf(zip_derived_cl196,plain,
( ( ( addition @ sk__1 @ ( multiplication @ ( addition @ sk__2 @ ( c @ sk__2 ) ) @ sk__1 ) )
!= ( multiplication @ ( addition @ sk__2 @ ( c @ sk__2 ) ) @ sk__1 ) )
<= ~ ( leq @ sk__1 @ ( addition @ ( multiplication @ sk__2 @ sk__1 ) @ ( multiplication @ ( c @ sk__2 ) @ sk__1 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl51]) ).
thf(zip_derived_cl259,plain,
( ( ( addition @ sk__1 @ ( multiplication @ one @ sk__1 ) )
!= ( multiplication @ one @ sk__1 ) )
<= ~ ( leq @ sk__1 @ ( addition @ ( multiplication @ sk__2 @ sk__1 ) @ ( multiplication @ ( c @ sk__2 ) @ sk__1 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl226,zip_derived_cl196]) ).
thf(zip_derived_cl6_008,plain,
! [X0: $i] :
( ( multiplication @ one @ X0 )
= X0 ),
inference(cnf,[status(esa)],[multiplicative_left_identity]) ).
thf(zip_derived_cl3_009,plain,
! [X0: $i] :
( ( addition @ X0 @ X0 )
= X0 ),
inference(cnf,[status(esa)],[additive_idempotence]) ).
thf(zip_derived_cl6_010,plain,
! [X0: $i] :
( ( multiplication @ one @ X0 )
= X0 ),
inference(cnf,[status(esa)],[multiplicative_left_identity]) ).
thf(zip_derived_cl263,plain,
( ( sk__1 != sk__1 )
<= ~ ( leq @ sk__1 @ ( addition @ ( multiplication @ sk__2 @ sk__1 ) @ ( multiplication @ ( c @ sk__2 ) @ sk__1 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl259,zip_derived_cl6,zip_derived_cl3,zip_derived_cl6]) ).
thf('0',plain,
leq @ sk__1 @ ( addition @ ( multiplication @ sk__2 @ sk__1 ) @ ( multiplication @ ( c @ sk__2 ) @ sk__1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl263]) ).
thf('1',plain,
( ~ ( leq @ ( addition @ ( multiplication @ sk__2 @ sk__1 ) @ ( multiplication @ ( c @ sk__2 ) @ sk__1 ) ) @ sk__1 )
| ~ ( leq @ sk__1 @ ( addition @ ( multiplication @ sk__2 @ sk__1 ) @ ( multiplication @ ( c @ sk__2 ) @ sk__1 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
thf('2',plain,
~ ( leq @ ( addition @ ( multiplication @ sk__2 @ sk__1 ) @ ( multiplication @ ( c @ sk__2 ) @ sk__1 ) ) @ sk__1 ),
inference('sat_resolution*',[status(thm)],['0','1']) ).
thf(zip_derived_cl267,plain,
$false,
inference(simpl_trail,[status(thm)],[zip_derived_cl266,'2']) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : KLE021+4 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.cHgDiLjMYk true
% 0.14/0.35 % Computer : n002.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 29 11:19:50 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
% 0.14/0.36 % Running in FO mode
% 0.22/0.69 % Total configuration time : 435
% 0.22/0.69 % Estimated wc time : 1092
% 0.22/0.69 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 1.24/0.76 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 1.24/0.77 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.36/0.77 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.36/0.77 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.36/0.77 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.36/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.36/0.84 % Solved by fo/fo1_av.sh.
% 1.36/0.84 % done 68 iterations in 0.051s
% 1.36/0.84 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.36/0.84 % SZS output start Refutation
% See solution above
% 1.36/0.84
% 1.36/0.84
% 1.36/0.84 % Terminating...
% 1.65/0.89 % Runner terminated.
% 1.65/0.90 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------