TSTP Solution File: ALG227+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ALG227+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.yfHamPi5H0 true
% Computer : n012.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 : Wed Aug 30 17:12:20 EDT 2023
% Result : Theorem 0.22s 0.78s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 14
% Syntax : Number of formulae : 35 ( 11 unt; 11 typ; 0 def)
% Number of atoms : 63 ( 23 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 195 ( 28 ~; 23 |; 3 &; 128 @)
% ( 2 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 13 ( 13 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 11 usr; 5 con; 0-2 aty)
% Number of variables : 27 ( 0 ^; 26 !; 1 ?; 27 :)
% Comments :
%------------------------------------------------------------------------------
thf(v1_xboole_0_type,type,
v1_xboole_0: $i > $o ).
thf(sk__type,type,
sk_: $i ).
thf(m1_subset_1_type,type,
m1_subset_1: $i > $i > $o ).
thf(k1_closure3_type,type,
k1_closure3: $i > $i > $i ).
thf(k1_xboole_0_type,type,
k1_xboole_0: $i ).
thf(k1_funct_1_type,type,
k1_funct_1: $i > $i > $i ).
thf(sk__2_type,type,
sk__2: $i ).
thf(a_2_0_closure3_type,type,
a_2_0_closure3: $i > $i > $i ).
thf(m1_pboole_type,type,
m1_pboole: $i > $i > $o ).
thf(r2_hidden_type,type,
r2_hidden: $i > $i > $o ).
thf(sk__1_type,type,
sk__1: $i ).
thf(t8_closure3,conjecture,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
=> ! [B: $i] :
( ( m1_pboole @ B @ A )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ A )
=> ( ~ ( r2_hidden @ C @ ( k1_closure3 @ A @ B ) )
=> ( ( k1_funct_1 @ B @ C )
= k1_xboole_0 ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i] :
( ~ ( v1_xboole_0 @ A )
=> ! [B: $i] :
( ( m1_pboole @ B @ A )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ A )
=> ( ~ ( r2_hidden @ C @ ( k1_closure3 @ A @ B ) )
=> ( ( k1_funct_1 @ B @ C )
= k1_xboole_0 ) ) ) ) ),
inference('cnf.neg',[status(esa)],[t8_closure3]) ).
thf(zip_derived_cl3,plain,
~ ( r2_hidden @ sk__2 @ ( k1_closure3 @ sk_ @ sk__1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4,plain,
m1_pboole @ sk__1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(d3_closure3,axiom,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
=> ! [B: $i] :
( ( m1_pboole @ B @ A )
=> ! [C: $i] :
( ( C
= ( k1_closure3 @ A @ B ) )
<=> ( C
= ( a_2_0_closure3 @ A @ B ) ) ) ) ) ).
thf(zip_derived_cl12,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( m1_pboole @ X0 @ X1 )
| ( X2
!= ( k1_closure3 @ X1 @ X0 ) )
| ( X2
= ( a_2_0_closure3 @ X1 @ X0 ) )
| ( v1_xboole_0 @ X1 ) ),
inference(cnf,[status(esa)],[d3_closure3]) ).
thf(zip_derived_cl196,plain,
! [X0: $i] :
( ( v1_xboole_0 @ sk_ )
| ( X0
= ( a_2_0_closure3 @ sk_ @ sk__1 ) )
| ( X0
!= ( k1_closure3 @ sk_ @ sk__1 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl4,zip_derived_cl12]) ).
thf(zip_derived_cl0,plain,
~ ( v1_xboole_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl294,plain,
! [X0: $i] :
( ( X0
= ( a_2_0_closure3 @ sk_ @ sk__1 ) )
| ( X0
!= ( k1_closure3 @ sk_ @ sk__1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl196,zip_derived_cl0]) ).
thf(zip_derived_cl297,plain,
( ( k1_closure3 @ sk_ @ sk__1 )
= ( a_2_0_closure3 @ sk_ @ sk__1 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl294]) ).
thf(zip_derived_cl307,plain,
~ ( r2_hidden @ sk__2 @ ( a_2_0_closure3 @ sk_ @ sk__1 ) ),
inference(demod,[status(thm)],[zip_derived_cl3,zip_derived_cl297]) ).
thf(zip_derived_cl4_001,plain,
m1_pboole @ sk__1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(fraenkel_a_2_0_closure3,axiom,
! [A: $i,B: $i,C: $i] :
( ( ~ ( v1_xboole_0 @ B )
& ( m1_pboole @ C @ B ) )
=> ( ( r2_hidden @ A @ ( a_2_0_closure3 @ B @ C ) )
<=> ? [D: $i] :
( ( ( k1_funct_1 @ C @ D )
!= k1_xboole_0 )
& ( A = D )
& ( m1_subset_1 @ D @ B ) ) ) ) ).
thf(zip_derived_cl26,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( v1_xboole_0 @ X0 )
| ~ ( m1_pboole @ X1 @ X0 )
| ( r2_hidden @ X2 @ ( a_2_0_closure3 @ X0 @ X1 ) )
| ~ ( m1_subset_1 @ X3 @ X0 )
| ( X2 != X3 )
| ( ( k1_funct_1 @ X1 @ X3 )
= k1_xboole_0 ) ),
inference(cnf,[status(esa)],[fraenkel_a_2_0_closure3]) ).
thf(zip_derived_cl203,plain,
! [X0: $i,X1: $i] :
( ( ( k1_funct_1 @ sk__1 @ X1 )
= k1_xboole_0 )
| ( X0 != X1 )
| ~ ( m1_subset_1 @ X1 @ sk_ )
| ( r2_hidden @ X0 @ ( a_2_0_closure3 @ sk_ @ sk__1 ) )
| ( v1_xboole_0 @ sk_ ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl4,zip_derived_cl26]) ).
thf(zip_derived_cl0_002,plain,
~ ( v1_xboole_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl341,plain,
! [X0: $i,X1: $i] :
( ( ( k1_funct_1 @ sk__1 @ X1 )
= k1_xboole_0 )
| ( X0 != X1 )
| ~ ( m1_subset_1 @ X1 @ sk_ )
| ( r2_hidden @ X0 @ ( a_2_0_closure3 @ sk_ @ sk__1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl203,zip_derived_cl0]) ).
thf(zip_derived_cl342,plain,
! [X0: $i] :
( ( r2_hidden @ X0 @ ( a_2_0_closure3 @ sk_ @ sk__1 ) )
| ~ ( m1_subset_1 @ X0 @ sk_ )
| ( ( k1_funct_1 @ sk__1 @ X0 )
= k1_xboole_0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl341]) ).
thf(zip_derived_cl2,plain,
( ( k1_funct_1 @ sk__1 @ sk__2 )
!= k1_xboole_0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl388,plain,
( ~ ( m1_subset_1 @ sk__2 @ sk_ )
| ( r2_hidden @ sk__2 @ ( a_2_0_closure3 @ sk_ @ sk__1 ) )
| ( k1_xboole_0 != k1_xboole_0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl342,zip_derived_cl2]) ).
thf(zip_derived_cl1,plain,
m1_subset_1 @ sk__2 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl390,plain,
( ( r2_hidden @ sk__2 @ ( a_2_0_closure3 @ sk_ @ sk__1 ) )
| ( k1_xboole_0 != k1_xboole_0 ) ),
inference(demod,[status(thm)],[zip_derived_cl388,zip_derived_cl1]) ).
thf(zip_derived_cl391,plain,
r2_hidden @ sk__2 @ ( a_2_0_closure3 @ sk_ @ sk__1 ),
inference(simplify,[status(thm)],[zip_derived_cl390]) ).
thf(zip_derived_cl395,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl307,zip_derived_cl391]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ALG227+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.yfHamPi5H0 true
% 0.14/0.35 % Computer : n012.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 : Mon Aug 28 03:42:39 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
% 0.22/0.65 % Total configuration time : 435
% 0.22/0.65 % Estimated wc time : 1092
% 0.22/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.78 % Solved by fo/fo6_bce.sh.
% 0.22/0.78 % BCE start: 52
% 0.22/0.78 % BCE eliminated: 8
% 0.22/0.78 % PE start: 44
% 0.22/0.78 logic: eq
% 0.22/0.78 % PE eliminated: -6
% 0.22/0.78 % done 92 iterations in 0.046s
% 0.22/0.78 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.22/0.78 % SZS output start Refutation
% See solution above
% 0.22/0.79
% 0.22/0.79
% 0.22/0.79 % Terminating...
% 1.25/0.86 % Runner terminated.
% 1.25/0.87 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------