%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM412+1 : TPTP v9.2.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.7DXsBn1CdG true
% Computer : n008.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 04:46:53 PM UTC 2025
% Result : Theorem 0.85s 0.82s
% Output : Refutation 0.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 32 ( 12 unt; 0 typ; 0 def)
% Number of atoms : 80 ( 0 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 224 ( 36 ~; 31 |; 7 &; 140 @)
% ( 1 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 11 usr; 4 con; 0-2 aty)
% Number of variables : 43 ( 0 ^; 43 !; 0 ?; 43 :)
% Comments :
%------------------------------------------------------------------------------
thf(subset_type,type,
subset: $i > $i > $o ).
thf(relation_rng_type,type,
relation_rng: $i > $i ).
thf(sk__4_type,type,
sk__4: $i ).
thf(transfinite_sequence_type,type,
transfinite_sequence: $i > $o ).
thf(function_type,type,
function: $i > $o ).
thf(sk__5_type,type,
sk__5: $i ).
thf(transfinite_sequence_of_type,type,
transfinite_sequence_of: $i > $i > $o ).
thf(tseq_dom_restriction_type,type,
tseq_dom_restriction: $i > $i > $i ).
thf(ordinal_type,type,
ordinal: $i > $o ).
thf(sk__3_type,type,
sk__3: $i ).
thf(relation_type,type,
relation: $i > $o ).
thf(d8_ordinal1,axiom,
! [A: $i,B: $i] :
( ( ( relation @ B )
& ( function @ B )
& ( transfinite_sequence @ B ) )
=> ( ( transfinite_sequence_of @ B @ A )
<=> ( subset @ ( relation_rng @ B ) @ A ) ) ) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i] :
( ~ ( transfinite_sequence_of @ X0 @ X1 )
| ( subset @ ( relation_rng @ X0 ) @ X1 )
| ~ ( transfinite_sequence @ X0 )
| ~ ( function @ X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[d8_ordinal1]) ).
thf(dt_m1_ordinal1,axiom,
! [A: $i,B: $i] :
( ( transfinite_sequence_of @ B @ A )
=> ( ( relation @ B )
& ( function @ B )
& ( transfinite_sequence @ B ) ) ) ).
thf(zip_derived_cl11,plain,
! [X0: $i,X1: $i] :
( ( transfinite_sequence @ X0 )
| ~ ( transfinite_sequence_of @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[dt_m1_ordinal1]) ).
thf(zip_derived_cl44,plain,
! [X0: $i,X1: $i] :
( ~ ( relation @ X0 )
| ~ ( function @ X0 )
| ( subset @ ( relation_rng @ X0 ) @ X1 )
| ~ ( transfinite_sequence_of @ X0 @ X1 ) ),
inference(clc,[status(thm)],[zip_derived_cl7,zip_derived_cl11]) ).
thf(zip_derived_cl9,plain,
! [X0: $i,X1: $i] :
( ( relation @ X0 )
| ~ ( transfinite_sequence_of @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[dt_m1_ordinal1]) ).
thf(zip_derived_cl45,plain,
! [X0: $i,X1: $i] :
( ~ ( transfinite_sequence_of @ X0 @ X1 )
| ( subset @ ( relation_rng @ X0 ) @ X1 )
| ~ ( function @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl44,zip_derived_cl9]) ).
thf(zip_derived_cl10,plain,
! [X0: $i,X1: $i] :
( ( function @ X0 )
| ~ ( transfinite_sequence_of @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[dt_m1_ordinal1]) ).
thf(zip_derived_cl46,plain,
! [X0: $i,X1: $i] :
( ( subset @ ( relation_rng @ X0 ) @ X1 )
| ~ ( transfinite_sequence_of @ X0 @ X1 ) ),
inference(clc,[status(thm)],[zip_derived_cl45,zip_derived_cl10]) ).
thf(dt_k2_ordinal1,axiom,
! [A: $i,B: $i] :
( ( ( relation @ A )
& ( function @ A )
& ( transfinite_sequence @ A )
& ( ordinal @ B ) )
=> ( transfinite_sequence_of @ ( tseq_dom_restriction @ A @ B ) @ ( relation_rng @ A ) ) ) ).
thf(zip_derived_cl8,plain,
! [X0: $i,X1: $i] :
( ~ ( transfinite_sequence @ X0 )
| ~ ( function @ X0 )
| ~ ( relation @ X0 )
| ~ ( ordinal @ X1 )
| ( transfinite_sequence_of @ ( tseq_dom_restriction @ X0 @ X1 ) @ ( relation_rng @ X0 ) ) ),
inference(cnf,[status(esa)],[dt_k2_ordinal1]) ).
thf(t47_ordinal1,axiom,
! [A: $i,B: $i] :
( ( subset @ A @ B )
=> ! [C: $i] :
( ( transfinite_sequence_of @ C @ A )
=> ( transfinite_sequence_of @ C @ B ) ) ) ).
thf(zip_derived_cl21,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( transfinite_sequence_of @ X0 @ X1 )
| ( transfinite_sequence_of @ X0 @ X2 )
| ~ ( subset @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[t47_ordinal1]) ).
thf(zip_derived_cl52,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ordinal @ X1 )
| ~ ( relation @ X0 )
| ~ ( function @ X0 )
| ~ ( transfinite_sequence @ X0 )
| ~ ( subset @ ( relation_rng @ X0 ) @ X2 )
| ( transfinite_sequence_of @ ( tseq_dom_restriction @ X0 @ X1 ) @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl21]) ).
thf(t48_ordinal1,conjecture,
! [A: $i,B: $i] :
( ( transfinite_sequence_of @ B @ A )
=> ! [C: $i] :
( ( ordinal @ C )
=> ( transfinite_sequence_of @ ( tseq_dom_restriction @ B @ C ) @ A ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i] :
( ( transfinite_sequence_of @ B @ A )
=> ! [C: $i] :
( ( ordinal @ C )
=> ( transfinite_sequence_of @ ( tseq_dom_restriction @ B @ C ) @ A ) ) ),
inference('cnf.neg',[status(esa)],[t48_ordinal1]) ).
thf(zip_derived_cl23,plain,
~ ( transfinite_sequence_of @ ( tseq_dom_restriction @ sk__4 @ sk__5 ) @ sk__3 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl110,plain,
( ~ ( subset @ ( relation_rng @ sk__4 ) @ sk__3 )
| ~ ( transfinite_sequence @ sk__4 )
| ~ ( function @ sk__4 )
| ~ ( relation @ sk__4 )
| ~ ( ordinal @ sk__5 ) ),
inference('sup-',[status(thm)],[zip_derived_cl52,zip_derived_cl23]) ).
thf(zip_derived_cl22,plain,
transfinite_sequence_of @ sk__4 @ sk__3,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl11_001,plain,
! [X0: $i,X1: $i] :
( ( transfinite_sequence @ X0 )
| ~ ( transfinite_sequence_of @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[dt_m1_ordinal1]) ).
thf(zip_derived_cl37,plain,
transfinite_sequence @ sk__4,
inference('sup-',[status(thm)],[zip_derived_cl22,zip_derived_cl11]) ).
thf(zip_derived_cl22_002,plain,
transfinite_sequence_of @ sk__4 @ sk__3,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl10_003,plain,
! [X0: $i,X1: $i] :
( ( function @ X0 )
| ~ ( transfinite_sequence_of @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[dt_m1_ordinal1]) ).
thf(zip_derived_cl26,plain,
function @ sk__4,
inference('sup-',[status(thm)],[zip_derived_cl22,zip_derived_cl10]) ).
thf(zip_derived_cl22_004,plain,
transfinite_sequence_of @ sk__4 @ sk__3,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl9_005,plain,
! [X0: $i,X1: $i] :
( ( relation @ X0 )
| ~ ( transfinite_sequence_of @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[dt_m1_ordinal1]) ).
thf(zip_derived_cl25,plain,
relation @ sk__4,
inference('sup-',[status(thm)],[zip_derived_cl22,zip_derived_cl9]) ).
thf(zip_derived_cl24,plain,
ordinal @ sk__5,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl111,plain,
~ ( subset @ ( relation_rng @ sk__4 ) @ sk__3 ),
inference(demod,[status(thm)],[zip_derived_cl110,zip_derived_cl37,zip_derived_cl26,zip_derived_cl25,zip_derived_cl24]) ).
thf(zip_derived_cl112,plain,
~ ( transfinite_sequence_of @ sk__4 @ sk__3 ),
inference('sup-',[status(thm)],[zip_derived_cl46,zip_derived_cl111]) ).
thf(zip_derived_cl22_006,plain,
transfinite_sequence_of @ sk__4 @ sk__3,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl113,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl112,zip_derived_cl22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : NUM412+1 : TPTP v9.2.0. Released v3.2.0.
% 0.09/0.12 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.7DXsBn1CdG true
% 0.12/0.33 % Computer : n008.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Oct 1 16:29:38 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % Running portfolio for 300 s
% 0.12/0.33 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Number of cores: 8
% 0.12/0.34 % Python version: Python 3.6.8
% 0.12/0.34 % Running in FO mode
% 0.52/0.62 % Total configuration time : 435
% 0.52/0.62 % Estimated wc time : 1092
% 0.52/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.80/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.80/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.80/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.80/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.80/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.80/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.80/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.85/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 0.85/0.82 % Solved by fo/fo4.sh.
% 0.85/0.82 % done 62 iterations in 0.041s
% 0.85/0.82 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.85/0.82 % SZS output start Refutation
% See solution above
% 0.85/0.82
% 0.85/0.82
% 0.85/0.82 % Terminating...
% 1.88/0.93 % Runner terminated.
% 1.89/0.95 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------