%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ALG226+4 : TPTP v9.2.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.OagMv8Ma4Q true
% Computer : n014.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 Oct 2 04:28:22 PM UTC 2025
% Result : Theorem 73.32s 11.13s
% Output : Refutation 73.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 28 ( 18 unt; 0 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 : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 11 usr; 4 con; 0-3 aty)
% Number of variables : 18 ( 0 ^; 18 !; 0 ?; 18 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__26_type,type,
sk__26: $i ).
thf(v1_xboole_0_type,type,
v1_xboole_0: $i > $o ).
thf(sk__28_type,type,
sk__28: $i ).
thf(m1_pboole_type,type,
m1_pboole: $i > $i > $o ).
thf(v2_relat_1_type,type,
v2_relat_1: $i > $o ).
thf(k1_funct_4_type,type,
k1_funct_4: $i > $i > $i ).
thf(k7_relat_1_type,type,
k7_relat_1: $i > $i > $i ).
thf(k1_closure3_type,type,
k1_closure3: $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__27_type,type,
sk__27: $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_cl229,plain,
m1_pboole @ sk__27 @ sk__26,
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_cl222,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_cl33825,plain,
( ( v1_xboole_0 @ sk__26 )
| ( sk__27
= ( k1_funct_4 @ ( k1_pboole @ sk__26 ) @ ( k7_relat_1 @ sk__27 @ ( k1_closure3 @ sk__26 @ sk__27 ) ) ) )
| ~ ( v2_relat_1 @ sk__27 ) ),
inference('sup-',[status(thm)],[zip_derived_cl229,zip_derived_cl222]) ).
thf(zip_derived_cl223,plain,
~ ( v1_xboole_0 @ sk__26 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl228,plain,
( ( k1_closure3 @ sk__26 @ sk__27 )
= ( k1_closure3 @ sk__26 @ sk__28 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl227,plain,
( ( k7_relat_1 @ sk__27 @ ( k1_closure3 @ sk__26 @ sk__27 ) )
= ( k7_relat_1 @ sk__28 @ ( k1_closure3 @ sk__26 @ sk__28 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl228_001,plain,
( ( k1_closure3 @ sk__26 @ sk__27 )
= ( k1_closure3 @ sk__26 @ sk__28 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl290,plain,
( ( k7_relat_1 @ sk__27 @ ( k1_closure3 @ sk__26 @ sk__28 ) )
= ( k7_relat_1 @ sk__28 @ ( k1_closure3 @ sk__26 @ sk__28 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl227,zip_derived_cl228]) ).
thf(zip_derived_cl230,plain,
v2_relat_1 @ sk__27,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl33829,plain,
( sk__27
= ( k1_funct_4 @ ( k1_pboole @ sk__26 ) @ ( k7_relat_1 @ sk__28 @ ( k1_closure3 @ sk__26 @ sk__28 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl33825,zip_derived_cl223,zip_derived_cl228,zip_derived_cl290,zip_derived_cl230]) ).
thf(zip_derived_cl225,plain,
m1_pboole @ sk__28 @ sk__26,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl222_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_cl33826,plain,
( ( v1_xboole_0 @ sk__26 )
| ( sk__28
= ( k1_funct_4 @ ( k1_pboole @ sk__26 ) @ ( k7_relat_1 @ sk__28 @ ( k1_closure3 @ sk__26 @ sk__28 ) ) ) )
| ~ ( v2_relat_1 @ sk__28 ) ),
inference('sup-',[status(thm)],[zip_derived_cl225,zip_derived_cl222]) ).
thf(zip_derived_cl223_003,plain,
~ ( v1_xboole_0 @ sk__26 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl224,plain,
v2_relat_1 @ sk__28,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl33830,plain,
( sk__28
= ( k1_funct_4 @ ( k1_pboole @ sk__26 ) @ ( k7_relat_1 @ sk__28 @ ( k1_closure3 @ sk__26 @ sk__28 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl33826,zip_derived_cl223,zip_derived_cl224]) ).
thf(zip_derived_cl33863,plain,
sk__27 = sk__28,
inference(demod,[status(thm)],[zip_derived_cl33829,zip_derived_cl33830]) ).
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_cl142,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_cl226,plain,
~ ( r6_pboole @ sk__26 @ sk__27 @ sk__28 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl18234,plain,
( ( sk__27 != sk__28 )
| ~ ( m1_pboole @ sk__28 @ sk__26 )
| ~ ( m1_pboole @ sk__27 @ sk__26 ) ),
inference('sup-',[status(thm)],[zip_derived_cl142,zip_derived_cl226]) ).
thf(zip_derived_cl225_004,plain,
m1_pboole @ sk__28 @ sk__26,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl229_005,plain,
m1_pboole @ sk__27 @ sk__26,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl18240,plain,
sk__27 != sk__28,
inference(demod,[status(thm)],[zip_derived_cl18234,zip_derived_cl225,zip_derived_cl229]) ).
thf(zip_derived_cl33864,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl33863,zip_derived_cl18240]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : ALG226+4 : TPTP v9.2.0. Released v3.4.0.
% 0.06/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.OagMv8Ma4Q true
% 0.12/0.34 % Computer : n014.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Oct 1 17:02:15 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Running portfolio for 300 s
% 0.12/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34 % Number of cores: 8
% 0.12/0.34 % Python version: Python 3.6.8
% 0.12/0.35 % Running in FO mode
% 0.54/0.64 % Total configuration time : 435
% 0.54/0.64 % Estimated wc time : 1092
% 0.54/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.54/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 73.32/11.13 % Solved by fo/fo4.sh.
% 73.32/11.13 % done 3664 iterations in 10.331s
% 73.32/11.13 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 73.32/11.13 % SZS output start Refutation
% See solution above
% 73.32/11.13
% 73.32/11.13
% 73.32/11.13 % Terminating...
% 73.80/11.18 % Runner terminated.
% 73.80/11.19 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------