TSTP Solution File: SEU009+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU009+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.BFVmzRhGIE true
% Computer : n009.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 19:10:11 EDT 2023
% Result : Theorem 1.32s 0.80s
% Output : Refutation 1.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 15
% Syntax : Number of formulae : 58 ( 24 unt; 10 typ; 0 def)
% Number of atoms : 124 ( 8 equ; 0 cnn)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 451 ( 55 ~; 56 |; 10 &; 320 @)
% ( 4 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 10 ( 10 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 10 usr; 4 con; 0-2 aty)
% Number of variables : 46 ( 0 ^; 46 !; 0 ?; 46 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__11_type,type,
sk__11: $i ).
thf(function_type,type,
function: $i > $o ).
thf(identity_relation_type,type,
identity_relation: $i > $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(relation_dom_type,type,
relation_dom: $i > $i ).
thf(relation_composition_type,type,
relation_composition: $i > $i > $i ).
thf(sk__10_type,type,
sk__10: $i ).
thf(apply_type,type,
apply: $i > $i > $i ).
thf(relation_type,type,
relation: $i > $o ).
thf(sk__12_type,type,
sk__12: $i ).
thf(t34_funct_1,axiom,
! [A: $i,B: $i] :
( ( ( relation @ B )
& ( function @ B ) )
=> ( ( B
= ( identity_relation @ A ) )
<=> ( ( ( relation_dom @ B )
= A )
& ! [C: $i] :
( ( in @ C @ A )
=> ( ( apply @ B @ C )
= C ) ) ) ) ) ).
thf(zip_derived_cl47,plain,
! [X0: $i,X1: $i] :
( ( X1
!= ( identity_relation @ X0 ) )
| ( ( relation_dom @ X1 )
= X0 )
| ~ ( function @ X1 )
| ~ ( relation @ X1 ) ),
inference(cnf,[status(esa)],[t34_funct_1]) ).
thf(zip_derived_cl333,plain,
! [X0: $i] :
( ~ ( relation @ ( identity_relation @ X0 ) )
| ~ ( function @ ( identity_relation @ X0 ) )
| ( ( relation_dom @ ( identity_relation @ X0 ) )
= X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl47]) ).
thf(dt_k6_relat_1,axiom,
! [A: $i] : ( relation @ ( identity_relation @ A ) ) ).
thf(zip_derived_cl4,plain,
! [X0: $i] : ( relation @ ( identity_relation @ X0 ) ),
inference(cnf,[status(esa)],[dt_k6_relat_1]) ).
thf(fc2_funct_1,axiom,
! [A: $i] :
( ( function @ ( identity_relation @ A ) )
& ( relation @ ( identity_relation @ A ) ) ) ).
thf(zip_derived_cl16,plain,
! [X0: $i] : ( function @ ( identity_relation @ X0 ) ),
inference(cnf,[status(esa)],[fc2_funct_1]) ).
thf(zip_derived_cl334,plain,
! [X0: $i] :
( ( relation_dom @ ( identity_relation @ X0 ) )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl333,zip_derived_cl4,zip_derived_cl16]) ).
thf(t40_funct_1,conjecture,
! [A: $i,B: $i,C: $i] :
( ( ( relation @ C )
& ( function @ C ) )
=> ( ( in @ B @ ( relation_dom @ ( relation_composition @ C @ ( identity_relation @ A ) ) ) )
<=> ( ( in @ B @ ( relation_dom @ C ) )
& ( in @ ( apply @ C @ B ) @ A ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i,C: $i] :
( ( ( relation @ C )
& ( function @ C ) )
=> ( ( in @ B @ ( relation_dom @ ( relation_composition @ C @ ( identity_relation @ A ) ) ) )
<=> ( ( in @ B @ ( relation_dom @ C ) )
& ( in @ ( apply @ C @ B ) @ A ) ) ) ),
inference('cnf.neg',[status(esa)],[t40_funct_1]) ).
thf(zip_derived_cl53,plain,
( ( in @ sk__11 @ ( relation_dom @ sk__12 ) )
| ( in @ sk__11 @ ( relation_dom @ ( relation_composition @ sk__12 @ ( identity_relation @ sk__10 ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(t21_funct_1,axiom,
! [A: $i,B: $i] :
( ( ( relation @ B )
& ( function @ B ) )
=> ! [C: $i] :
( ( ( relation @ C )
& ( function @ C ) )
=> ( ( in @ A @ ( relation_dom @ ( relation_composition @ C @ B ) ) )
<=> ( ( in @ A @ ( relation_dom @ C ) )
& ( in @ ( apply @ C @ A ) @ ( relation_dom @ B ) ) ) ) ) ) ).
thf(zip_derived_cl42,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( relation @ X0 )
| ~ ( function @ X0 )
| ~ ( in @ X1 @ ( relation_dom @ ( relation_composition @ X0 @ X2 ) ) )
| ( in @ X1 @ ( relation_dom @ X0 ) )
| ~ ( function @ X2 )
| ~ ( relation @ X2 ) ),
inference(cnf,[status(esa)],[t21_funct_1]) ).
thf(zip_derived_cl430,plain,
( ( in @ sk__11 @ ( relation_dom @ sk__12 ) )
| ~ ( relation @ sk__12 )
| ~ ( function @ sk__12 )
| ( in @ sk__11 @ ( relation_dom @ sk__12 ) )
| ~ ( function @ ( identity_relation @ sk__10 ) )
| ~ ( relation @ ( identity_relation @ sk__10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl53,zip_derived_cl42]) ).
thf(zip_derived_cl50,plain,
relation @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl51,plain,
function @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl16_001,plain,
! [X0: $i] : ( function @ ( identity_relation @ X0 ) ),
inference(cnf,[status(esa)],[fc2_funct_1]) ).
thf(zip_derived_cl4_002,plain,
! [X0: $i] : ( relation @ ( identity_relation @ X0 ) ),
inference(cnf,[status(esa)],[dt_k6_relat_1]) ).
thf(zip_derived_cl433,plain,
( ( in @ sk__11 @ ( relation_dom @ sk__12 ) )
| ( in @ sk__11 @ ( relation_dom @ sk__12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl430,zip_derived_cl50,zip_derived_cl51,zip_derived_cl16,zip_derived_cl4]) ).
thf(zip_derived_cl434,plain,
in @ sk__11 @ ( relation_dom @ sk__12 ),
inference(simplify,[status(thm)],[zip_derived_cl433]) ).
thf(zip_derived_cl40,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( relation @ X0 )
| ~ ( function @ X0 )
| ~ ( in @ X1 @ ( relation_dom @ X0 ) )
| ~ ( in @ ( apply @ X0 @ X1 ) @ ( relation_dom @ X2 ) )
| ( in @ X1 @ ( relation_dom @ ( relation_composition @ X0 @ X2 ) ) )
| ~ ( function @ X2 )
| ~ ( relation @ X2 ) ),
inference(cnf,[status(esa)],[t21_funct_1]) ).
thf(zip_derived_cl438,plain,
! [X0: $i] :
( ~ ( relation @ sk__12 )
| ~ ( function @ sk__12 )
| ~ ( in @ ( apply @ sk__12 @ sk__11 ) @ ( relation_dom @ X0 ) )
| ( in @ sk__11 @ ( relation_dom @ ( relation_composition @ sk__12 @ X0 ) ) )
| ~ ( function @ X0 )
| ~ ( relation @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl434,zip_derived_cl40]) ).
thf(zip_derived_cl50_003,plain,
relation @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl51_004,plain,
function @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl440,plain,
! [X0: $i] :
( ~ ( in @ ( apply @ sk__12 @ sk__11 ) @ ( relation_dom @ X0 ) )
| ( in @ sk__11 @ ( relation_dom @ ( relation_composition @ sk__12 @ X0 ) ) )
| ~ ( function @ X0 )
| ~ ( relation @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl438,zip_derived_cl50,zip_derived_cl51]) ).
thf(zip_derived_cl644,plain,
! [X0: $i] :
( ~ ( in @ ( apply @ sk__12 @ sk__11 ) @ X0 )
| ( in @ sk__11 @ ( relation_dom @ ( relation_composition @ sk__12 @ ( identity_relation @ X0 ) ) ) )
| ~ ( function @ ( identity_relation @ X0 ) )
| ~ ( relation @ ( identity_relation @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl334,zip_derived_cl440]) ).
thf(zip_derived_cl16_005,plain,
! [X0: $i] : ( function @ ( identity_relation @ X0 ) ),
inference(cnf,[status(esa)],[fc2_funct_1]) ).
thf(zip_derived_cl4_006,plain,
! [X0: $i] : ( relation @ ( identity_relation @ X0 ) ),
inference(cnf,[status(esa)],[dt_k6_relat_1]) ).
thf(zip_derived_cl650,plain,
! [X0: $i] :
( ~ ( in @ ( apply @ sk__12 @ sk__11 ) @ X0 )
| ( in @ sk__11 @ ( relation_dom @ ( relation_composition @ sk__12 @ ( identity_relation @ X0 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl644,zip_derived_cl16,zip_derived_cl4]) ).
thf(zip_derived_cl52,plain,
( ~ ( in @ ( apply @ sk__12 @ sk__11 ) @ sk__10 )
| ~ ( in @ sk__11 @ ( relation_dom @ sk__12 ) )
| ~ ( in @ sk__11 @ ( relation_dom @ ( relation_composition @ sk__12 @ ( identity_relation @ sk__10 ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl434_007,plain,
in @ sk__11 @ ( relation_dom @ sk__12 ),
inference(simplify,[status(thm)],[zip_derived_cl433]) ).
thf(zip_derived_cl467,plain,
( ~ ( in @ ( apply @ sk__12 @ sk__11 ) @ sk__10 )
| ~ ( in @ sk__11 @ ( relation_dom @ ( relation_composition @ sk__12 @ ( identity_relation @ sk__10 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl52,zip_derived_cl434]) ).
thf(zip_derived_cl54,plain,
( ( in @ ( apply @ sk__12 @ sk__11 ) @ sk__10 )
| ( in @ sk__11 @ ( relation_dom @ ( relation_composition @ sk__12 @ ( identity_relation @ sk__10 ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl334_008,plain,
! [X0: $i] :
( ( relation_dom @ ( identity_relation @ X0 ) )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl333,zip_derived_cl4,zip_derived_cl16]) ).
thf(zip_derived_cl41,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( relation @ X0 )
| ~ ( function @ X0 )
| ~ ( in @ X1 @ ( relation_dom @ ( relation_composition @ X0 @ X2 ) ) )
| ( in @ ( apply @ X0 @ X1 ) @ ( relation_dom @ X2 ) )
| ~ ( function @ X2 )
| ~ ( relation @ X2 ) ),
inference(cnf,[status(esa)],[t21_funct_1]) ).
thf(zip_derived_cl421,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( relation @ X2 )
| ~ ( function @ X2 )
| ~ ( in @ X1 @ ( relation_dom @ ( relation_composition @ X2 @ ( identity_relation @ X0 ) ) ) )
| ( in @ ( apply @ X2 @ X1 ) @ X0 )
| ~ ( function @ ( identity_relation @ X0 ) )
| ~ ( relation @ ( identity_relation @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl334,zip_derived_cl41]) ).
thf(zip_derived_cl16_009,plain,
! [X0: $i] : ( function @ ( identity_relation @ X0 ) ),
inference(cnf,[status(esa)],[fc2_funct_1]) ).
thf(zip_derived_cl4_010,plain,
! [X0: $i] : ( relation @ ( identity_relation @ X0 ) ),
inference(cnf,[status(esa)],[dt_k6_relat_1]) ).
thf(zip_derived_cl423,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( relation @ X2 )
| ~ ( function @ X2 )
| ~ ( in @ X1 @ ( relation_dom @ ( relation_composition @ X2 @ ( identity_relation @ X0 ) ) ) )
| ( in @ ( apply @ X2 @ X1 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl421,zip_derived_cl16,zip_derived_cl4]) ).
thf(zip_derived_cl470,plain,
( ( in @ ( apply @ sk__12 @ sk__11 ) @ sk__10 )
| ~ ( relation @ sk__12 )
| ~ ( function @ sk__12 )
| ( in @ ( apply @ sk__12 @ sk__11 ) @ sk__10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl54,zip_derived_cl423]) ).
thf(zip_derived_cl50_011,plain,
relation @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl51_012,plain,
function @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl473,plain,
( ( in @ ( apply @ sk__12 @ sk__11 ) @ sk__10 )
| ( in @ ( apply @ sk__12 @ sk__11 ) @ sk__10 ) ),
inference(demod,[status(thm)],[zip_derived_cl470,zip_derived_cl50,zip_derived_cl51]) ).
thf(zip_derived_cl474,plain,
in @ ( apply @ sk__12 @ sk__11 ) @ sk__10,
inference(simplify,[status(thm)],[zip_derived_cl473]) ).
thf(zip_derived_cl475,plain,
~ ( in @ sk__11 @ ( relation_dom @ ( relation_composition @ sk__12 @ ( identity_relation @ sk__10 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl467,zip_derived_cl474]) ).
thf(zip_derived_cl657,plain,
~ ( in @ ( apply @ sk__12 @ sk__11 ) @ sk__10 ),
inference('s_sup-',[status(thm)],[zip_derived_cl650,zip_derived_cl475]) ).
thf(zip_derived_cl474_013,plain,
in @ ( apply @ sk__12 @ sk__11 ) @ sk__10,
inference(simplify,[status(thm)],[zip_derived_cl473]) ).
thf(zip_derived_cl669,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl657,zip_derived_cl474]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU009+1 : TPTP v8.1.2. Released v3.2.0.
% 0.12/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.BFVmzRhGIE true
% 0.13/0.34 % Computer : n009.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 : Wed Aug 23 14:45:51 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
% 0.21/0.66 % Total configuration time : 435
% 0.21/0.66 % Estimated wc time : 1092
% 0.21/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.90/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.90/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.32/0.80 % Solved by fo/fo6_bce.sh.
% 1.32/0.80 % BCE start: 60
% 1.32/0.80 % BCE eliminated: 2
% 1.32/0.80 % PE start: 58
% 1.32/0.80 logic: eq
% 1.32/0.80 % PE eliminated: 2
% 1.32/0.80 % done 117 iterations in 0.079s
% 1.32/0.80 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.32/0.80 % SZS output start Refutation
% See solution above
% 1.32/0.80
% 1.32/0.80
% 1.32/0.80 % Terminating...
% 1.64/0.88 % Runner terminated.
% 1.64/0.89 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------