TSTP Solution File: SEU449+1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU449+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.wIyeDNy3Es true
% Computer : n026.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 19:13:07 EDT 2023
% Result : Theorem 1.63s 0.90s
% Output : Refutation 1.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 20
% Syntax : Number of formulae : 55 ( 18 unt; 13 typ; 0 def)
% Number of atoms : 91 ( 0 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 603 ( 47 ~; 32 |; 3 &; 507 @)
% ( 2 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 9 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 20 ( 20 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 13 usr; 6 con; 0-4 aty)
% Number of variables : 66 ( 0 ^; 66 !; 0 ?; 66 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__6_type,type,
sk__6: $i ).
thf(sk__8_type,type,
sk__8: $i ).
thf(k2_zfmisc_1_type,type,
k2_zfmisc_1: $i > $i > $i ).
thf(sk__4_type,type,
sk__4: $i ).
thf(m1_subset_1_type,type,
m1_subset_1: $i > $i > $o ).
thf(m2_relset_1_type,type,
m2_relset_1: $i > $i > $i > $o ).
thf(k6_relset_1_type,type,
k6_relset_1: $i > $i > $i > $i ).
thf(m1_relset_1_type,type,
m1_relset_1: $i > $i > $i > $o ).
thf(sk__5_type,type,
sk__5: $i ).
thf(sk__7_type,type,
sk__7: $i ).
thf(r1_tarski_type,type,
r1_tarski: $i > $i > $o ).
thf(k1_zfmisc_1_type,type,
k1_zfmisc_1: $i > $i ).
thf(k8_relset_2_type,type,
k8_relset_2: $i > $i > $i > $i > $i ).
thf(redefinition_m2_relset_1,axiom,
! [A: $i,B: $i,C: $i] :
( ( m2_relset_1 @ C @ A @ B )
<=> ( m1_relset_1 @ C @ A @ B ) ) ).
thf(zip_derived_cl10,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( m1_relset_1 @ X0 @ X1 @ X2 )
| ~ ( m2_relset_1 @ X0 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[redefinition_m2_relset_1]) ).
thf(dt_k6_relset_1,axiom,
! [A: $i,B: $i,C: $i] :
( ( m1_relset_1 @ C @ A @ B )
=> ( m2_relset_1 @ ( k6_relset_1 @ A @ B @ C ) @ B @ A ) ) ).
thf(zip_derived_cl12,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( m2_relset_1 @ ( k6_relset_1 @ X0 @ X1 @ X2 ) @ X1 @ X0 )
| ~ ( m1_relset_1 @ X2 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[dt_k6_relset_1]) ).
thf(dt_m2_relset_1,axiom,
! [A: $i,B: $i,C: $i] :
( ( m2_relset_1 @ C @ A @ B )
=> ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) ) ) ).
thf(zip_derived_cl14,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ X1 @ X2 ) ) )
| ~ ( m2_relset_1 @ X0 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[dt_m2_relset_1]) ).
thf(dt_k8_relset_2,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ A ) )
& ( m1_subset_1 @ D @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) ) )
=> ( m1_subset_1 @ ( k8_relset_2 @ A @ B @ C @ D ) @ ( k1_zfmisc_1 @ B ) ) ) ).
thf(zip_derived_cl13,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ X1 ) )
| ~ ( m1_subset_1 @ X2 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ X1 @ X3 ) ) )
| ( m1_subset_1 @ ( k8_relset_2 @ X1 @ X3 @ X0 @ X2 ) @ ( k1_zfmisc_1 @ X3 ) ) ),
inference(cnf,[status(esa)],[dt_k8_relset_2]) ).
thf(t61_relset_2,axiom,
! [A: $i,B: $i,C: $i] :
( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ A ) )
=> ! [D: $i] :
( ( m1_subset_1 @ D @ ( k1_zfmisc_1 @ B ) )
=> ! [E: $i] :
( ( m2_relset_1 @ E @ A @ B )
=> ( ( r1_tarski @ C @ ( k8_relset_2 @ B @ A @ D @ ( k6_relset_1 @ A @ B @ E ) ) )
<=> ( r1_tarski @ D @ ( k8_relset_2 @ A @ B @ C @ E ) ) ) ) ) ) ).
thf(zip_derived_cl18,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ X1 ) )
| ~ ( r1_tarski @ X2 @ ( k8_relset_2 @ X1 @ X3 @ X0 @ ( k6_relset_1 @ X3 @ X1 @ X4 ) ) )
| ( r1_tarski @ X0 @ ( k8_relset_2 @ X3 @ X1 @ X2 @ X4 ) )
| ~ ( m2_relset_1 @ X4 @ X3 @ X1 )
| ~ ( m1_subset_1 @ X2 @ ( k1_zfmisc_1 @ X3 ) ) ),
inference(cnf,[status(esa)],[t61_relset_2]) ).
thf(reflexivity_r1_tarski,axiom,
! [A: $i,B: $i] : ( r1_tarski @ A @ A ) ).
thf(zip_derived_cl5,plain,
! [X0: $i] : ( r1_tarski @ X0 @ X0 ),
inference(cnf,[status(esa)],[reflexivity_r1_tarski]) ).
thf(zip_derived_cl52,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( m1_subset_1 @ ( k8_relset_2 @ X1 @ X2 @ X3 @ ( k6_relset_1 @ X2 @ X1 @ X0 ) ) @ ( k1_zfmisc_1 @ X2 ) )
| ~ ( m2_relset_1 @ X0 @ X2 @ X1 )
| ( r1_tarski @ X3 @ ( k8_relset_2 @ X2 @ X1 @ ( k8_relset_2 @ X1 @ X2 @ X3 @ ( k6_relset_1 @ X2 @ X1 @ X0 ) ) @ X0 ) )
| ~ ( m1_subset_1 @ X3 @ ( k1_zfmisc_1 @ X1 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl18,zip_derived_cl5]) ).
thf(zip_derived_cl14_001,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ X1 @ X2 ) ) )
| ~ ( m2_relset_1 @ X0 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[dt_m2_relset_1]) ).
thf(zip_derived_cl13_002,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ X1 ) )
| ~ ( m1_subset_1 @ X2 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ X1 @ X3 ) ) )
| ( m1_subset_1 @ ( k8_relset_2 @ X1 @ X3 @ X0 @ X2 ) @ ( k1_zfmisc_1 @ X3 ) ) ),
inference(cnf,[status(esa)],[dt_k8_relset_2]) ).
thf(zip_derived_cl19,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ X1 ) )
| ~ ( r1_tarski @ X0 @ ( k8_relset_2 @ X2 @ X1 @ X3 @ X4 ) )
| ( r1_tarski @ X3 @ ( k8_relset_2 @ X1 @ X2 @ X0 @ ( k6_relset_1 @ X2 @ X1 @ X4 ) ) )
| ~ ( m2_relset_1 @ X4 @ X2 @ X1 )
| ~ ( m1_subset_1 @ X3 @ ( k1_zfmisc_1 @ X2 ) ) ),
inference(cnf,[status(esa)],[t61_relset_2]) ).
thf(t63_relset_2,conjecture,
! [A: $i,B: $i,C: $i] :
( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ A ) )
=> ! [D: $i] :
( ( m1_subset_1 @ D @ ( k1_zfmisc_1 @ B ) )
=> ! [E: $i] :
( ( m2_relset_1 @ E @ A @ B )
=> ( ( r1_tarski @ C @ ( k8_relset_2 @ B @ A @ ( k8_relset_2 @ A @ B @ C @ E ) @ ( k6_relset_1 @ A @ B @ E ) ) )
& ( r1_tarski @ D @ ( k8_relset_2 @ A @ B @ ( k8_relset_2 @ B @ A @ D @ ( k6_relset_1 @ A @ B @ E ) ) @ E ) ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i,C: $i] :
( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ A ) )
=> ! [D: $i] :
( ( m1_subset_1 @ D @ ( k1_zfmisc_1 @ B ) )
=> ! [E: $i] :
( ( m2_relset_1 @ E @ A @ B )
=> ( ( r1_tarski @ C @ ( k8_relset_2 @ B @ A @ ( k8_relset_2 @ A @ B @ C @ E ) @ ( k6_relset_1 @ A @ B @ E ) ) )
& ( r1_tarski @ D @ ( k8_relset_2 @ A @ B @ ( k8_relset_2 @ B @ A @ D @ ( k6_relset_1 @ A @ B @ E ) ) @ E ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[t63_relset_2]) ).
thf(zip_derived_cl22,plain,
( ~ ( r1_tarski @ sk__6 @ ( k8_relset_2 @ sk__5 @ sk__4 @ ( k8_relset_2 @ sk__4 @ sk__5 @ sk__6 @ sk__8 ) @ ( k6_relset_1 @ sk__4 @ sk__5 @ sk__8 ) ) )
| ~ ( r1_tarski @ sk__7 @ ( k8_relset_2 @ sk__4 @ sk__5 @ ( k8_relset_2 @ sk__5 @ sk__4 @ sk__7 @ ( k6_relset_1 @ sk__4 @ sk__5 @ sk__8 ) ) @ sk__8 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl192,plain,
( ~ ( m1_subset_1 @ sk__6 @ ( k1_zfmisc_1 @ sk__4 ) )
| ~ ( m2_relset_1 @ sk__8 @ sk__4 @ sk__5 )
| ~ ( r1_tarski @ ( k8_relset_2 @ sk__4 @ sk__5 @ sk__6 @ sk__8 ) @ ( k8_relset_2 @ sk__4 @ sk__5 @ sk__6 @ sk__8 ) )
| ~ ( m1_subset_1 @ ( k8_relset_2 @ sk__4 @ sk__5 @ sk__6 @ sk__8 ) @ ( k1_zfmisc_1 @ sk__5 ) )
| ~ ( r1_tarski @ sk__7 @ ( k8_relset_2 @ sk__4 @ sk__5 @ ( k8_relset_2 @ sk__5 @ sk__4 @ sk__7 @ ( k6_relset_1 @ sk__4 @ sk__5 @ sk__8 ) ) @ sk__8 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl22]) ).
thf(zip_derived_cl20,plain,
m1_subset_1 @ sk__6 @ ( k1_zfmisc_1 @ sk__4 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl21,plain,
m2_relset_1 @ sk__8 @ sk__4 @ sk__5,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5_003,plain,
! [X0: $i] : ( r1_tarski @ X0 @ X0 ),
inference(cnf,[status(esa)],[reflexivity_r1_tarski]) ).
thf(zip_derived_cl205,plain,
( ~ ( m1_subset_1 @ ( k8_relset_2 @ sk__4 @ sk__5 @ sk__6 @ sk__8 ) @ ( k1_zfmisc_1 @ sk__5 ) )
| ~ ( r1_tarski @ sk__7 @ ( k8_relset_2 @ sk__4 @ sk__5 @ ( k8_relset_2 @ sk__5 @ sk__4 @ sk__7 @ ( k6_relset_1 @ sk__4 @ sk__5 @ sk__8 ) ) @ sk__8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl192,zip_derived_cl20,zip_derived_cl21,zip_derived_cl5]) ).
thf(zip_derived_cl207,plain,
( ~ ( m1_subset_1 @ sk__8 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ sk__4 @ sk__5 ) ) )
| ~ ( m1_subset_1 @ sk__6 @ ( k1_zfmisc_1 @ sk__4 ) )
| ~ ( r1_tarski @ sk__7 @ ( k8_relset_2 @ sk__4 @ sk__5 @ ( k8_relset_2 @ sk__5 @ sk__4 @ sk__7 @ ( k6_relset_1 @ sk__4 @ sk__5 @ sk__8 ) ) @ sk__8 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl205]) ).
thf(zip_derived_cl20_004,plain,
m1_subset_1 @ sk__6 @ ( k1_zfmisc_1 @ sk__4 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl208,plain,
( ~ ( m1_subset_1 @ sk__8 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ sk__4 @ sk__5 ) ) )
| ~ ( r1_tarski @ sk__7 @ ( k8_relset_2 @ sk__4 @ sk__5 @ ( k8_relset_2 @ sk__5 @ sk__4 @ sk__7 @ ( k6_relset_1 @ sk__4 @ sk__5 @ sk__8 ) ) @ sk__8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl207,zip_derived_cl20]) ).
thf(zip_derived_cl210,plain,
( ~ ( m2_relset_1 @ sk__8 @ sk__4 @ sk__5 )
| ~ ( r1_tarski @ sk__7 @ ( k8_relset_2 @ sk__4 @ sk__5 @ ( k8_relset_2 @ sk__5 @ sk__4 @ sk__7 @ ( k6_relset_1 @ sk__4 @ sk__5 @ sk__8 ) ) @ sk__8 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl208]) ).
thf(zip_derived_cl21_005,plain,
m2_relset_1 @ sk__8 @ sk__4 @ sk__5,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl211,plain,
~ ( r1_tarski @ sk__7 @ ( k8_relset_2 @ sk__4 @ sk__5 @ ( k8_relset_2 @ sk__5 @ sk__4 @ sk__7 @ ( k6_relset_1 @ sk__4 @ sk__5 @ sk__8 ) ) @ sk__8 ) ),
inference(demod,[status(thm)],[zip_derived_cl210,zip_derived_cl21]) ).
thf(zip_derived_cl686,plain,
( ~ ( m1_subset_1 @ sk__7 @ ( k1_zfmisc_1 @ sk__5 ) )
| ~ ( m2_relset_1 @ sk__8 @ sk__4 @ sk__5 )
| ~ ( m1_subset_1 @ ( k8_relset_2 @ sk__5 @ sk__4 @ sk__7 @ ( k6_relset_1 @ sk__4 @ sk__5 @ sk__8 ) ) @ ( k1_zfmisc_1 @ sk__4 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl52,zip_derived_cl211]) ).
thf(zip_derived_cl23,plain,
m1_subset_1 @ sk__7 @ ( k1_zfmisc_1 @ sk__5 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl21_006,plain,
m2_relset_1 @ sk__8 @ sk__4 @ sk__5,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl707,plain,
~ ( m1_subset_1 @ ( k8_relset_2 @ sk__5 @ sk__4 @ sk__7 @ ( k6_relset_1 @ sk__4 @ sk__5 @ sk__8 ) ) @ ( k1_zfmisc_1 @ sk__4 ) ),
inference(demod,[status(thm)],[zip_derived_cl686,zip_derived_cl23,zip_derived_cl21]) ).
thf(zip_derived_cl710,plain,
( ~ ( m1_subset_1 @ ( k6_relset_1 @ sk__4 @ sk__5 @ sk__8 ) @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ sk__5 @ sk__4 ) ) )
| ~ ( m1_subset_1 @ sk__7 @ ( k1_zfmisc_1 @ sk__5 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl707]) ).
thf(zip_derived_cl23_007,plain,
m1_subset_1 @ sk__7 @ ( k1_zfmisc_1 @ sk__5 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl712,plain,
~ ( m1_subset_1 @ ( k6_relset_1 @ sk__4 @ sk__5 @ sk__8 ) @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ sk__5 @ sk__4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl710,zip_derived_cl23]) ).
thf(zip_derived_cl714,plain,
~ ( m2_relset_1 @ ( k6_relset_1 @ sk__4 @ sk__5 @ sk__8 ) @ sk__5 @ sk__4 ),
inference('sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl712]) ).
thf(zip_derived_cl716,plain,
~ ( m1_relset_1 @ sk__8 @ sk__4 @ sk__5 ),
inference('sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl714]) ).
thf(zip_derived_cl719,plain,
~ ( m2_relset_1 @ sk__8 @ sk__4 @ sk__5 ),
inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl716]) ).
thf(zip_derived_cl21_008,plain,
m2_relset_1 @ sk__8 @ sk__4 @ sk__5,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl720,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl719,zip_derived_cl21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU449+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.wIyeDNy3Es true
% 0.14/0.35 % Computer : n026.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 : Wed Aug 23 20:53:32 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/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
% 0.21/0.59 % Total configuration time : 435
% 0.21/0.59 % Estimated wc time : 1092
% 0.21/0.59 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.66 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.66 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.63/0.90 % Solved by fo/fo4.sh.
% 1.63/0.90 % done 165 iterations in 0.145s
% 1.63/0.90 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.63/0.90 % SZS output start Refutation
% See solution above
% 1.63/0.90
% 1.63/0.90
% 1.63/0.90 % Terminating...
% 2.73/1.00 % Runner terminated.
% 2.73/1.02 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------