TSTP Solution File: ALG226+2 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ALG226+2 : 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.z8aHxt5Zuq true
% Computer : n004.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 21.87s 3.72s
% Output : Refutation 21.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 14
% Syntax : Number of formulae : 39 ( 18 unt; 11 typ; 0 def)
% Number of atoms : 63 ( 20 equ; 0 cnn)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 221 ( 20 ~; 15 |; 8 &; 166 @)
% ( 1 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 14 ( 14 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 11 usr; 4 con; 0-3 aty)
% Number of variables : 18 ( 0 ^; 18 !; 0 ?; 18 :)
% Comments :
%------------------------------------------------------------------------------
thf(v1_xboole_0_type,type,
v1_xboole_0: $i > $o ).
thf(k1_closure3_type,type,
k1_closure3: $i > $i > $i ).
thf(k1_funct_4_type,type,
k1_funct_4: $i > $i > $i ).
thf(sk__18_type,type,
sk__18: $i ).
thf(m1_pboole_type,type,
m1_pboole: $i > $i > $o ).
thf(v2_relat_1_type,type,
v2_relat_1: $i > $o ).
thf(k7_relat_1_type,type,
k7_relat_1: $i > $i > $i ).
thf(k1_pboole_type,type,
k1_pboole: $i > $i ).
thf(r6_pboole_type,type,
r6_pboole: $i > $i > $i > $o ).
thf(sk__17_type,type,
sk__17: $i ).
thf(sk__16_type,type,
sk__16: $i ).
thf(t7_closure3,conjecture,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
=> ! [B: $i] :
( ( ( v2_relat_1 @ B )
& ( m1_pboole @ B @ A ) )
=> ! [C: $i] :
( ( ( v2_relat_1 @ C )
& ( m1_pboole @ C @ A ) )
=> ( ( ( ( k1_closure3 @ A @ B )
= ( k1_closure3 @ A @ C ) )
& ( ( k7_relat_1 @ B @ ( k1_closure3 @ A @ B ) )
= ( k7_relat_1 @ C @ ( k1_closure3 @ A @ C ) ) ) )
=> ( r6_pboole @ A @ B @ C ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i] :
( ~ ( v1_xboole_0 @ A )
=> ! [B: $i] :
( ( ( v2_relat_1 @ B )
& ( m1_pboole @ B @ A ) )
=> ! [C: $i] :
( ( ( v2_relat_1 @ C )
& ( m1_pboole @ C @ A ) )
=> ( ( ( ( k1_closure3 @ A @ B )
= ( k1_closure3 @ A @ C ) )
& ( ( k7_relat_1 @ B @ ( k1_closure3 @ A @ B ) )
= ( k7_relat_1 @ C @ ( k1_closure3 @ A @ C ) ) ) )
=> ( r6_pboole @ A @ B @ C ) ) ) ) ),
inference('cnf.neg',[status(esa)],[t7_closure3]) ).
thf(zip_derived_cl154,plain,
m1_pboole @ sk__17 @ sk__16,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(t6_closure3,axiom,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
=> ! [B: $i] :
( ( ( v2_relat_1 @ B )
& ( m1_pboole @ B @ A ) )
=> ( B
= ( k1_funct_4 @ ( k1_pboole @ A ) @ ( k7_relat_1 @ B @ ( k1_closure3 @ A @ B ) ) ) ) ) ) ).
thf(zip_derived_cl147,plain,
! [X0: $i,X1: $i] :
( ~ ( v2_relat_1 @ X0 )
| ~ ( m1_pboole @ X0 @ X1 )
| ( X0
= ( k1_funct_4 @ ( k1_pboole @ X1 ) @ ( k7_relat_1 @ X0 @ ( k1_closure3 @ X1 @ X0 ) ) ) )
| ( v1_xboole_0 @ X1 ) ),
inference(cnf,[status(esa)],[t6_closure3]) ).
thf(zip_derived_cl19750,plain,
( ( v1_xboole_0 @ sk__16 )
| ( sk__17
= ( k1_funct_4 @ ( k1_pboole @ sk__16 ) @ ( k7_relat_1 @ sk__17 @ ( k1_closure3 @ sk__16 @ sk__17 ) ) ) )
| ~ ( v2_relat_1 @ sk__17 ) ),
inference('sup-',[status(thm)],[zip_derived_cl154,zip_derived_cl147]) ).
thf(zip_derived_cl148,plain,
~ ( v1_xboole_0 @ sk__16 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl153,plain,
( ( k1_closure3 @ sk__16 @ sk__17 )
= ( k1_closure3 @ sk__16 @ sk__18 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl152,plain,
( ( k7_relat_1 @ sk__17 @ ( k1_closure3 @ sk__16 @ sk__17 ) )
= ( k7_relat_1 @ sk__18 @ ( k1_closure3 @ sk__16 @ sk__18 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl153_001,plain,
( ( k1_closure3 @ sk__16 @ sk__17 )
= ( k1_closure3 @ sk__16 @ sk__18 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl535,plain,
( ( k7_relat_1 @ sk__17 @ ( k1_closure3 @ sk__16 @ sk__18 ) )
= ( k7_relat_1 @ sk__18 @ ( k1_closure3 @ sk__16 @ sk__18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl152,zip_derived_cl153]) ).
thf(zip_derived_cl155,plain,
v2_relat_1 @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl19759,plain,
( sk__17
= ( k1_funct_4 @ ( k1_pboole @ sk__16 ) @ ( k7_relat_1 @ sk__18 @ ( k1_closure3 @ sk__16 @ sk__18 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19750,zip_derived_cl148,zip_derived_cl153,zip_derived_cl535,zip_derived_cl155]) ).
thf(zip_derived_cl150,plain,
m1_pboole @ sk__18 @ sk__16,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl147_002,plain,
! [X0: $i,X1: $i] :
( ~ ( v2_relat_1 @ X0 )
| ~ ( m1_pboole @ X0 @ X1 )
| ( X0
= ( k1_funct_4 @ ( k1_pboole @ X1 ) @ ( k7_relat_1 @ X0 @ ( k1_closure3 @ X1 @ X0 ) ) ) )
| ( v1_xboole_0 @ X1 ) ),
inference(cnf,[status(esa)],[t6_closure3]) ).
thf(zip_derived_cl19751,plain,
( ( v1_xboole_0 @ sk__16 )
| ( sk__18
= ( k1_funct_4 @ ( k1_pboole @ sk__16 ) @ ( k7_relat_1 @ sk__18 @ ( k1_closure3 @ sk__16 @ sk__18 ) ) ) )
| ~ ( v2_relat_1 @ sk__18 ) ),
inference('sup-',[status(thm)],[zip_derived_cl150,zip_derived_cl147]) ).
thf(zip_derived_cl148_003,plain,
~ ( v1_xboole_0 @ sk__16 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl149,plain,
v2_relat_1 @ sk__18,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl19760,plain,
( sk__18
= ( k1_funct_4 @ ( k1_pboole @ sk__16 ) @ ( k7_relat_1 @ sk__18 @ ( k1_closure3 @ sk__16 @ sk__18 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19751,zip_derived_cl148,zip_derived_cl149]) ).
thf(zip_derived_cl22621,plain,
sk__17 = sk__18,
inference(demod,[status(thm)],[zip_derived_cl19759,zip_derived_cl19760]) ).
thf(redefinition_r6_pboole,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( m1_pboole @ B @ A )
& ( m1_pboole @ C @ A ) )
=> ( ( r6_pboole @ A @ B @ C )
<=> ( B = C ) ) ) ).
thf(zip_derived_cl125,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( m1_pboole @ X0 @ X1 )
| ~ ( m1_pboole @ X2 @ X1 )
| ( r6_pboole @ X1 @ X0 @ X2 )
| ( X0 != X2 ) ),
inference(cnf,[status(esa)],[redefinition_r6_pboole]) ).
thf(zip_derived_cl151,plain,
~ ( r6_pboole @ sk__16 @ sk__17 @ sk__18 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl758,plain,
( ( sk__17 != sk__18 )
| ~ ( m1_pboole @ sk__18 @ sk__16 )
| ~ ( m1_pboole @ sk__17 @ sk__16 ) ),
inference('sup-',[status(thm)],[zip_derived_cl125,zip_derived_cl151]) ).
thf(zip_derived_cl150_004,plain,
m1_pboole @ sk__18 @ sk__16,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl154_005,plain,
m1_pboole @ sk__17 @ sk__16,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl760,plain,
sk__17 != sk__18,
inference(demod,[status(thm)],[zip_derived_cl758,zip_derived_cl150,zip_derived_cl154]) ).
thf(zip_derived_cl22622,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl22621,zip_derived_cl760]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ALG226+2 : 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.z8aHxt5Zuq true
% 0.13/0.34 % Computer : n004.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 : Mon Aug 28 04:36:53 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.19/0.66 % Total configuration time : 435
% 0.19/0.66 % Estimated wc time : 1092
% 0.19/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.19/0.69 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.19/0.71 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.19/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.19/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.19/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.19/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.79/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 21.87/3.72 % Solved by fo/fo4.sh.
% 21.87/3.72 % done 2063 iterations in 2.939s
% 21.87/3.72 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 21.87/3.72 % SZS output start Refutation
% See solution above
% 21.87/3.72
% 21.87/3.72
% 21.87/3.72 % Terminating...
% 21.87/3.76 % Runner terminated.
% 21.87/3.77 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------