TSTP Solution File: SEU215+3 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU215+3 : TPTP v8.1.2. Released v3.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.IHJvM3ZuTY true
% Computer : n028.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 19:11:17 EDT 2023
% Result : Theorem 1.40s 0.82s
% Output : Refutation 1.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 17
% Syntax : Number of formulae : 60 ( 25 unt; 11 typ; 0 def)
% Number of atoms : 139 ( 23 equ; 0 cnn)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 479 ( 65 ~; 55 |; 16 &; 324 @)
% ( 3 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 11 ( 11 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 11 usr; 5 con; 0-2 aty)
% Number of variables : 36 ( 0 ^; 36 !; 0 ?; 36 :)
% Comments :
%------------------------------------------------------------------------------
thf(relation_composition_type,type,
relation_composition: $i > $i > $i ).
thf(apply_type,type,
apply: $i > $i > $i ).
thf(empty_set_type,type,
empty_set: $i ).
thf(function_type,type,
function: $i > $o ).
thf(in_type,type,
in: $i > $i > $o ).
thf(sk__9_type,type,
sk__9: $i ).
thf(ordered_pair_type,type,
ordered_pair: $i > $i > $i ).
thf(relation_dom_type,type,
relation_dom: $i > $i ).
thf(relation_type,type,
relation: $i > $o ).
thf(sk__11_type,type,
sk__11: $i ).
thf(sk__10_type,type,
sk__10: $i ).
thf(t22_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 ) ) )
=> ( ( apply @ ( relation_composition @ C @ B ) @ A )
= ( apply @ B @ ( apply @ C @ A ) ) ) ) ) ) ).
thf(zip_derived_cl49,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( relation @ X0 )
| ~ ( function @ X0 )
| ( ( apply @ ( relation_composition @ X0 @ X1 ) @ X2 )
= ( apply @ X1 @ ( apply @ X0 @ X2 ) ) )
| ~ ( in @ X2 @ ( relation_dom @ ( relation_composition @ X0 @ X1 ) ) )
| ~ ( function @ X1 )
| ~ ( relation @ X1 ) ),
inference(cnf,[status(esa)],[t22_funct_1]) ).
thf(t23_funct_1,conjecture,
! [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(zf_stmt_0,negated_conjecture,
~ ! [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 ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[t23_funct_1]) ).
thf(zip_derived_cl53,plain,
( ( apply @ ( relation_composition @ sk__10 @ sk__11 ) @ sk__9 )
!= ( apply @ sk__11 @ ( apply @ sk__10 @ sk__9 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl426,plain,
( ( ( apply @ sk__11 @ ( apply @ sk__10 @ sk__9 ) )
!= ( apply @ sk__11 @ ( apply @ sk__10 @ sk__9 ) ) )
| ~ ( relation @ sk__11 )
| ~ ( function @ sk__11 )
| ~ ( in @ sk__9 @ ( relation_dom @ ( relation_composition @ sk__10 @ sk__11 ) ) )
| ~ ( function @ sk__10 )
| ~ ( relation @ sk__10 ) ),
inference('sup-',[status(thm)],[zip_derived_cl49,zip_derived_cl53]) ).
thf(zip_derived_cl55,plain,
relation @ sk__11,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl54,plain,
function @ sk__11,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl51,plain,
function @ sk__10,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl50,plain,
relation @ sk__10,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl429,plain,
( ( ( apply @ sk__11 @ ( apply @ sk__10 @ sk__9 ) )
!= ( apply @ sk__11 @ ( apply @ sk__10 @ sk__9 ) ) )
| ~ ( in @ sk__9 @ ( relation_dom @ ( relation_composition @ sk__10 @ sk__11 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl426,zip_derived_cl55,zip_derived_cl54,zip_derived_cl51,zip_derived_cl50]) ).
thf(zip_derived_cl430,plain,
~ ( in @ sk__9 @ ( relation_dom @ ( relation_composition @ sk__10 @ sk__11 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl429]) ).
thf(d4_funct_1,axiom,
! [A: $i] :
( ( ( relation @ A )
& ( function @ A ) )
=> ! [B: $i,C: $i] :
( ( ~ ( in @ B @ ( relation_dom @ A ) )
=> ( ( C
= ( apply @ A @ B ) )
<=> ( C = empty_set ) ) )
& ( ( in @ B @ ( relation_dom @ A ) )
=> ( ( C
= ( apply @ A @ B ) )
<=> ( in @ ( ordered_pair @ B @ C ) @ A ) ) ) ) ) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( in @ X0 @ ( relation_dom @ X1 ) )
| ( X2 = empty_set )
| ( X2
!= ( apply @ X1 @ X0 ) )
| ~ ( function @ X1 )
| ~ ( relation @ X1 ) ),
inference(cnf,[status(esa)],[d4_funct_1]) ).
thf(zip_derived_cl343,plain,
! [X0: $i,X1: $i] :
( ~ ( relation @ X0 )
| ~ ( function @ X0 )
| ( ( apply @ X0 @ X1 )
= empty_set )
| ( in @ X1 @ ( relation_dom @ X0 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl4]) ).
thf(fc1_funct_1,axiom,
! [A: $i,B: $i] :
( ( ( relation @ A )
& ( function @ A )
& ( relation @ B )
& ( function @ B ) )
=> ( ( relation @ ( relation_composition @ A @ B ) )
& ( function @ ( relation_composition @ A @ B ) ) ) ) ).
thf(zip_derived_cl16,plain,
! [X0: $i,X1: $i] :
( ~ ( function @ X0 )
| ~ ( relation @ X0 )
| ~ ( relation @ X1 )
| ~ ( function @ X1 )
| ( function @ ( relation_composition @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[fc1_funct_1]) ).
thf(dt_k5_relat_1,axiom,
! [A: $i,B: $i] :
( ( ( relation @ A )
& ( relation @ B ) )
=> ( relation @ ( relation_composition @ A @ B ) ) ) ).
thf(zip_derived_cl9,plain,
! [X0: $i,X1: $i] :
( ~ ( relation @ X0 )
| ~ ( relation @ X1 )
| ( relation @ ( relation_composition @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[dt_k5_relat_1]) ).
thf(zip_derived_cl343_001,plain,
! [X0: $i,X1: $i] :
( ~ ( relation @ X0 )
| ~ ( function @ X0 )
| ( ( apply @ X0 @ X1 )
= empty_set )
| ( in @ X1 @ ( relation_dom @ X0 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl53_002,plain,
( ( apply @ ( relation_composition @ sk__10 @ sk__11 ) @ sk__9 )
!= ( apply @ sk__11 @ ( apply @ sk__10 @ sk__9 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl460,plain,
( ( empty_set
!= ( apply @ sk__11 @ ( apply @ sk__10 @ sk__9 ) ) )
| ( in @ sk__9 @ ( relation_dom @ ( relation_composition @ sk__10 @ sk__11 ) ) )
| ~ ( function @ ( relation_composition @ sk__10 @ sk__11 ) )
| ~ ( relation @ ( relation_composition @ sk__10 @ sk__11 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl343,zip_derived_cl53]) ).
thf(zip_derived_cl430_003,plain,
~ ( in @ sk__9 @ ( relation_dom @ ( relation_composition @ sk__10 @ sk__11 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl429]) ).
thf(zip_derived_cl521,plain,
( ~ ( relation @ ( relation_composition @ sk__10 @ sk__11 ) )
| ~ ( function @ ( relation_composition @ sk__10 @ sk__11 ) )
| ( empty_set
!= ( apply @ sk__11 @ ( apply @ sk__10 @ sk__9 ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl460,zip_derived_cl430]) ).
thf(zip_derived_cl527,plain,
( ~ ( relation @ sk__11 )
| ~ ( relation @ sk__10 )
| ( empty_set
!= ( apply @ sk__11 @ ( apply @ sk__10 @ sk__9 ) ) )
| ~ ( function @ ( relation_composition @ sk__10 @ sk__11 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl521]) ).
thf(zip_derived_cl55_004,plain,
relation @ sk__11,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl50_005,plain,
relation @ sk__10,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl532,plain,
( ( empty_set
!= ( apply @ sk__11 @ ( apply @ sk__10 @ sk__9 ) ) )
| ~ ( function @ ( relation_composition @ sk__10 @ sk__11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl527,zip_derived_cl55,zip_derived_cl50]) ).
thf(zip_derived_cl543,plain,
( ~ ( function @ sk__11 )
| ~ ( relation @ sk__11 )
| ~ ( relation @ sk__10 )
| ~ ( function @ sk__10 )
| ( empty_set
!= ( apply @ sk__11 @ ( apply @ sk__10 @ sk__9 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl532]) ).
thf(zip_derived_cl54_006,plain,
function @ sk__11,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl55_007,plain,
relation @ sk__11,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl50_008,plain,
relation @ sk__10,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl51_009,plain,
function @ sk__10,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl546,plain,
( empty_set
!= ( apply @ sk__11 @ ( apply @ sk__10 @ sk__9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl543,zip_derived_cl54,zip_derived_cl55,zip_derived_cl50,zip_derived_cl51]) ).
thf(zip_derived_cl550,plain,
( ( empty_set != empty_set )
| ( in @ ( apply @ sk__10 @ sk__9 ) @ ( relation_dom @ sk__11 ) )
| ~ ( function @ sk__11 )
| ~ ( relation @ sk__11 ) ),
inference('sup-',[status(thm)],[zip_derived_cl343,zip_derived_cl546]) ).
thf(zip_derived_cl54_010,plain,
function @ sk__11,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl55_011,plain,
relation @ sk__11,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl552,plain,
( ( empty_set != empty_set )
| ( in @ ( apply @ sk__10 @ sk__9 ) @ ( relation_dom @ sk__11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl550,zip_derived_cl54,zip_derived_cl55]) ).
thf(zip_derived_cl553,plain,
in @ ( apply @ sk__10 @ sk__9 ) @ ( relation_dom @ sk__11 ),
inference(simplify,[status(thm)],[zip_derived_cl552]) ).
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_cl46,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_cl558,plain,
( ~ ( relation @ sk__11 )
| ~ ( function @ sk__11 )
| ( in @ sk__9 @ ( relation_dom @ ( relation_composition @ sk__10 @ sk__11 ) ) )
| ~ ( in @ sk__9 @ ( relation_dom @ sk__10 ) )
| ~ ( function @ sk__10 )
| ~ ( relation @ sk__10 ) ),
inference('sup-',[status(thm)],[zip_derived_cl553,zip_derived_cl46]) ).
thf(zip_derived_cl55_012,plain,
relation @ sk__11,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl54_013,plain,
function @ sk__11,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl52,plain,
in @ sk__9 @ ( relation_dom @ sk__10 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl51_014,plain,
function @ sk__10,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl50_015,plain,
relation @ sk__10,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl564,plain,
in @ sk__9 @ ( relation_dom @ ( relation_composition @ sk__10 @ sk__11 ) ),
inference(demod,[status(thm)],[zip_derived_cl558,zip_derived_cl55,zip_derived_cl54,zip_derived_cl52,zip_derived_cl51,zip_derived_cl50]) ).
thf(zip_derived_cl573,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl430,zip_derived_cl564]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU215+3 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.IHJvM3ZuTY true
% 0.14/0.35 % Computer : n028.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 16:18:48 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
% 0.14/0.35 % Running in FO mode
% 0.20/0.65 % Total configuration time : 435
% 0.20/0.65 % Estimated wc time : 1092
% 0.20/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.17/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.17/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.17/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.17/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.17/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.40/0.82 % Solved by fo/fo3_bce.sh.
% 1.40/0.82 % BCE start: 64
% 1.40/0.82 % BCE eliminated: 2
% 1.40/0.82 % PE start: 62
% 1.40/0.82 logic: eq
% 1.40/0.82 % PE eliminated: 2
% 1.40/0.82 % done 134 iterations in 0.053s
% 1.40/0.82 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.40/0.82 % SZS output start Refutation
% See solution above
% 1.40/0.82
% 1.40/0.82
% 1.40/0.82 % Terminating...
% 1.56/0.90 % Runner terminated.
% 1.56/0.91 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------