TSTP Solution File: SEU008+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU008+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.q4Zby9UdXg 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 Aug 31 19:10:11 EDT 2023
% Result : Theorem 1.40s 0.92s
% Output : Refutation 1.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 18
% Syntax : Number of formulae : 47 ( 18 unt; 11 typ; 0 def)
% Number of atoms : 93 ( 25 equ; 0 cnn)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 319 ( 41 ~; 37 |; 8 &; 221 @)
% ( 3 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 12 ( 12 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 11 usr; 4 con; 0-2 aty)
% Number of variables : 58 ( 0 ^; 58 !; 0 ?; 58 :)
% Comments :
%------------------------------------------------------------------------------
thf(relation_dom_type,type,
relation_dom: $i > $i ).
thf(function_type,type,
function: $i > $o ).
thf(sk__11_type,type,
sk__11: $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(apply_type,type,
apply: $i > $i > $i ).
thf(set_intersection2_type,type,
set_intersection2: $i > $i > $i ).
thf(identity_relation_type,type,
identity_relation: $i > $i ).
thf(relation_composition_type,type,
relation_composition: $i > $i > $i ).
thf(relation_type,type,
relation: $i > $o ).
thf(sk__13_type,type,
sk__13: $i ).
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_cl54,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1
!= ( identity_relation @ X0 ) )
| ( ( apply @ X1 @ X2 )
= X2 )
| ~ ( in @ X2 @ X0 )
| ~ ( function @ X1 )
| ~ ( relation @ X1 ) ),
inference(cnf,[status(esa)],[t34_funct_1]) ).
thf(zip_derived_cl472,plain,
! [X0: $i,X1: $i] :
( ~ ( relation @ ( identity_relation @ X0 ) )
| ~ ( function @ ( identity_relation @ X0 ) )
| ~ ( in @ X1 @ X0 )
| ( ( apply @ ( identity_relation @ X0 ) @ X1 )
= X1 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl54]) ).
thf(dt_k6_relat_1,axiom,
! [A: $i] : ( relation @ ( identity_relation @ A ) ) ).
thf(zip_derived_cl11,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_cl24,plain,
! [X0: $i] : ( function @ ( identity_relation @ X0 ) ),
inference(cnf,[status(esa)],[fc2_funct_1]) ).
thf(zip_derived_cl473,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X1 @ X0 )
| ( ( apply @ ( identity_relation @ X0 ) @ X1 )
= X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl472,zip_derived_cl11,zip_derived_cl24]) ).
thf(t23_funct_1,axiom,
! [A: $i,B: $i] :
( ( ( relation @ B )
& ( function @ B ) )
=> ! [C: $i] :
( ( ( relation @ C )
& ( function @ C ) )
=> ( ( in @ A @ ( relation_dom @ B ) )
=> ( ( apply @ ( relation_composition @ B @ C ) @ A )
= ( apply @ C @ ( apply @ B @ A ) ) ) ) ) ) ).
thf(zip_derived_cl49,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( relation @ X0 )
| ~ ( function @ X0 )
| ( ( apply @ ( relation_composition @ X1 @ X0 ) @ X2 )
= ( apply @ X0 @ ( apply @ X1 @ X2 ) ) )
| ~ ( in @ X2 @ ( relation_dom @ X1 ) )
| ~ ( function @ X1 )
| ~ ( relation @ X1 ) ),
inference(cnf,[status(esa)],[t23_funct_1]) ).
thf(zip_derived_cl884,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X0 @ X1 )
| ~ ( relation @ X2 )
| ~ ( function @ X2 )
| ( ( apply @ ( relation_composition @ ( identity_relation @ X1 ) @ X2 ) @ X0 )
= ( apply @ X2 @ X0 ) )
| ~ ( in @ X0 @ ( relation_dom @ ( identity_relation @ X1 ) ) )
| ~ ( function @ ( identity_relation @ X1 ) )
| ~ ( relation @ ( identity_relation @ X1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl473,zip_derived_cl49]) ).
thf(zip_derived_cl55,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_cl441,plain,
! [X0: $i] :
( ~ ( relation @ ( identity_relation @ X0 ) )
| ~ ( function @ ( identity_relation @ X0 ) )
| ( ( relation_dom @ ( identity_relation @ X0 ) )
= X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl55]) ).
thf(zip_derived_cl11_001,plain,
! [X0: $i] : ( relation @ ( identity_relation @ X0 ) ),
inference(cnf,[status(esa)],[dt_k6_relat_1]) ).
thf(zip_derived_cl24_002,plain,
! [X0: $i] : ( function @ ( identity_relation @ X0 ) ),
inference(cnf,[status(esa)],[fc2_funct_1]) ).
thf(zip_derived_cl442,plain,
! [X0: $i] :
( ( relation_dom @ ( identity_relation @ X0 ) )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl441,zip_derived_cl11,zip_derived_cl24]) ).
thf(zip_derived_cl24_003,plain,
! [X0: $i] : ( function @ ( identity_relation @ X0 ) ),
inference(cnf,[status(esa)],[fc2_funct_1]) ).
thf(zip_derived_cl11_004,plain,
! [X0: $i] : ( relation @ ( identity_relation @ X0 ) ),
inference(cnf,[status(esa)],[dt_k6_relat_1]) ).
thf(zip_derived_cl889,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X0 @ X1 )
| ~ ( relation @ X2 )
| ~ ( function @ X2 )
| ( ( apply @ ( relation_composition @ ( identity_relation @ X1 ) @ X2 ) @ X0 )
= ( apply @ X2 @ X0 ) )
| ~ ( in @ X0 @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl884,zip_derived_cl442,zip_derived_cl24,zip_derived_cl11]) ).
thf(zip_derived_cl890,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( apply @ ( relation_composition @ ( identity_relation @ X1 ) @ X2 ) @ X0 )
= ( apply @ X2 @ X0 ) )
| ~ ( function @ X2 )
| ~ ( relation @ X2 )
| ~ ( in @ X0 @ X1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl889]) ).
thf(t38_funct_1,conjecture,
! [A: $i,B: $i,C: $i] :
( ( ( relation @ C )
& ( function @ C ) )
=> ( ( in @ B @ ( set_intersection2 @ ( relation_dom @ C ) @ A ) )
=> ( ( apply @ C @ B )
= ( apply @ ( relation_composition @ ( identity_relation @ A ) @ C ) @ B ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i,C: $i] :
( ( ( relation @ C )
& ( function @ C ) )
=> ( ( in @ B @ ( set_intersection2 @ ( relation_dom @ C ) @ A ) )
=> ( ( apply @ C @ B )
= ( apply @ ( relation_composition @ ( identity_relation @ A ) @ C ) @ B ) ) ) ),
inference('cnf.neg',[status(esa)],[t38_funct_1]) ).
thf(zip_derived_cl58,plain,
( ( apply @ sk__13 @ sk__12 )
!= ( apply @ ( relation_composition @ ( identity_relation @ sk__11 ) @ sk__13 ) @ sk__12 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl944,plain,
( ~ ( in @ sk__12 @ sk__11 )
| ~ ( relation @ sk__13 )
| ~ ( function @ sk__13 )
| ( ( apply @ sk__13 @ sk__12 )
!= ( apply @ sk__13 @ sk__12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl890,zip_derived_cl58]) ).
thf(zip_derived_cl59,plain,
in @ sk__12 @ ( set_intersection2 @ ( relation_dom @ sk__13 ) @ sk__11 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(commutativity_k3_xboole_0,axiom,
! [A: $i,B: $i] :
( ( set_intersection2 @ A @ B )
= ( set_intersection2 @ B @ A ) ) ).
thf(zip_derived_cl3,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2 @ X1 @ X0 )
= ( set_intersection2 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[commutativity_k3_xboole_0]) ).
thf(zip_derived_cl376,plain,
in @ sk__12 @ ( set_intersection2 @ sk__11 @ ( relation_dom @ sk__13 ) ),
inference(demod,[status(thm)],[zip_derived_cl59,zip_derived_cl3]) ).
thf(d3_xboole_0,axiom,
! [A: $i,B: $i,C: $i] :
( ( C
= ( set_intersection2 @ A @ B ) )
<=> ! [D: $i] :
( ( in @ D @ C )
<=> ( ( in @ D @ A )
& ( in @ D @ B ) ) ) ) ).
thf(zip_derived_cl6,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( in @ X0 @ X1 )
| ( in @ X0 @ X2 )
| ( X1
!= ( set_intersection2 @ X2 @ X3 ) ) ),
inference(cnf,[status(esa)],[d3_xboole_0]) ).
thf(zip_derived_cl320,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( in @ X1 @ X0 )
| ~ ( in @ X1 @ ( set_intersection2 @ X0 @ X2 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl386,plain,
in @ sk__12 @ sk__11,
inference('s_sup-',[status(thm)],[zip_derived_cl376,zip_derived_cl320]) ).
thf(zip_derived_cl56,plain,
relation @ sk__13,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl57,plain,
function @ sk__13,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl955,plain,
( ( apply @ sk__13 @ sk__12 )
!= ( apply @ sk__13 @ sk__12 ) ),
inference(demod,[status(thm)],[zip_derived_cl944,zip_derived_cl386,zip_derived_cl56,zip_derived_cl57]) ).
thf(zip_derived_cl956,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl955]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU008+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.q4Zby9UdXg true
% 0.14/0.36 % Computer : n008.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Wed Aug 23 20:22:32 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.37 % Python version: Python 3.6.8
% 0.14/0.37 % Running in FO mode
% 0.22/0.65 % Total configuration time : 435
% 0.22/0.65 % Estimated wc time : 1092
% 0.22/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.77 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.78 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.40/0.92 % Solved by fo/fo6_bce.sh.
% 1.40/0.92 % BCE start: 67
% 1.40/0.92 % BCE eliminated: 2
% 1.40/0.92 % PE start: 65
% 1.40/0.92 logic: eq
% 1.40/0.92 % PE eliminated: 2
% 1.40/0.92 % done 199 iterations in 0.186s
% 1.40/0.92 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.40/0.92 % SZS output start Refutation
% See solution above
% 1.40/0.92
% 1.40/0.92
% 1.40/0.92 % Terminating...
% 2.38/1.01 % Runner terminated.
% 2.38/1.02 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------