TSTP Solution File: SEU045+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU045+1 : 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.DmIqgF4xjW true
% Computer : n003.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 19:10:18 EDT 2023
% Result : Theorem 1.35s 0.85s
% Output : Refutation 1.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 20
% Syntax : Number of formulae : 36 ( 6 unt; 13 typ; 0 def)
% Number of atoms : 84 ( 16 equ; 0 cnn)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 309 ( 35 ~; 31 |; 12 &; 213 @)
% ( 6 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 21 ( 21 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 11 usr; 4 con; 0-3 aty)
% Number of variables : 50 ( 0 ^; 50 !; 0 ?; 50 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__12_type,type,
sk__12: $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(relation_type,type,
relation: $i > $o ).
thf(relation_dom_type,type,
relation_dom: $i > $i ).
thf(sk__11_type,type,
sk__11: $i ).
thf(sk__13_type,type,
sk__13: $i ).
thf(zip_tseitin_1_type,type,
zip_tseitin_1: $i > $i > $i > $o ).
thf(apply_type,type,
apply: $i > $i > $i ).
thf(zip_tseitin_0_type,type,
zip_tseitin_0: $i > $i > $i > $o ).
thf(relation_rng_restriction_type,type,
relation_rng_restriction: $i > $i > $i ).
thf(function_type,type,
function: $i > $o ).
thf(t85_funct_1,axiom,
! [A: $i,B: $i] :
( ( ( function @ B )
& ( relation @ B ) )
=> ! [C: $i] :
( ( ( function @ C )
& ( relation @ C ) )
=> ( ( B
= ( relation_rng_restriction @ A @ C ) )
<=> ( ! [D: $i] :
( ( in @ D @ ( relation_dom @ B ) )
=> ( ( apply @ B @ D )
= ( apply @ C @ D ) ) )
& ! [D: $i] :
( ( in @ D @ ( relation_dom @ B ) )
<=> ( ( in @ ( apply @ C @ D ) @ A )
& ( in @ D @ ( relation_dom @ C ) ) ) ) ) ) ) ) ).
thf(zf_stmt_0,type,
zip_tseitin_1: $i > $i > $i > $o ).
thf(zf_stmt_1,axiom,
! [D: $i,C: $i,A: $i] :
( ( zip_tseitin_1 @ D @ C @ A )
<=> ( ( in @ D @ ( relation_dom @ C ) )
& ( in @ ( apply @ C @ D ) @ A ) ) ) ).
thf(zf_stmt_2,type,
zip_tseitin_0: $i > $i > $i > $o ).
thf(zf_stmt_3,axiom,
! [D: $i,C: $i,B: $i] :
( ( zip_tseitin_0 @ D @ C @ B )
<=> ( ( in @ D @ ( relation_dom @ B ) )
=> ( ( apply @ B @ D )
= ( apply @ C @ D ) ) ) ) ).
thf(zf_stmt_4,axiom,
! [A: $i,B: $i] :
( ( ( relation @ B )
& ( function @ B ) )
=> ! [C: $i] :
( ( ( relation @ C )
& ( function @ C ) )
=> ( ( B
= ( relation_rng_restriction @ A @ C ) )
<=> ( ! [D: $i] :
( ( in @ D @ ( relation_dom @ B ) )
<=> ( zip_tseitin_1 @ D @ C @ A ) )
& ! [D: $i] : ( zip_tseitin_0 @ D @ C @ B ) ) ) ) ) ).
thf(zip_derived_cl62,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( relation @ X0 )
| ~ ( function @ X0 )
| ( X2
!= ( relation_rng_restriction @ X1 @ X0 ) )
| ( zip_tseitin_0 @ X3 @ X0 @ X2 )
| ~ ( function @ X2 )
| ~ ( relation @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl54,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X0 @ ( relation_dom @ X1 ) )
| ( ( apply @ X1 @ X0 )
= ( apply @ X2 @ X0 ) )
| ~ ( zip_tseitin_0 @ X0 @ X2 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl328,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( relation @ X1 )
| ~ ( function @ X1 )
| ( X1
!= ( relation_rng_restriction @ X2 @ X0 ) )
| ~ ( function @ X0 )
| ~ ( relation @ X0 )
| ( ( apply @ X1 @ X3 )
= ( apply @ X0 @ X3 ) )
| ~ ( in @ X3 @ ( relation_dom @ X1 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl62,zip_derived_cl54]) ).
thf(zip_derived_cl429,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X2 @ ( relation_dom @ ( relation_rng_restriction @ X1 @ X0 ) ) )
| ( ( apply @ ( relation_rng_restriction @ X1 @ X0 ) @ X2 )
= ( apply @ X0 @ X2 ) )
| ~ ( relation @ X0 )
| ~ ( function @ X0 )
| ~ ( function @ ( relation_rng_restriction @ X1 @ X0 ) )
| ~ ( relation @ ( relation_rng_restriction @ X1 @ X0 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl328]) ).
thf(fc5_funct_1,axiom,
! [A: $i,B: $i] :
( ( ( relation @ B )
& ( function @ B ) )
=> ( ( relation @ ( relation_rng_restriction @ A @ B ) )
& ( function @ ( relation_rng_restriction @ A @ B ) ) ) ) ).
thf(zip_derived_cl27,plain,
! [X0: $i,X1: $i] :
( ( function @ ( relation_rng_restriction @ X0 @ X1 ) )
| ~ ( function @ X1 )
| ~ ( relation @ X1 ) ),
inference(cnf,[status(esa)],[fc5_funct_1]) ).
thf(zip_derived_cl781,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( relation @ ( relation_rng_restriction @ X1 @ X0 ) )
| ~ ( function @ X0 )
| ~ ( relation @ X0 )
| ( ( apply @ ( relation_rng_restriction @ X1 @ X0 ) @ X2 )
= ( apply @ X0 @ X2 ) )
| ~ ( in @ X2 @ ( relation_dom @ ( relation_rng_restriction @ X1 @ X0 ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl429,zip_derived_cl27]) ).
thf(dt_k8_relat_1,axiom,
! [A: $i,B: $i] :
( ( relation @ B )
=> ( relation @ ( relation_rng_restriction @ A @ B ) ) ) ).
thf(zip_derived_cl25,plain,
! [X0: $i,X1: $i] :
( ( relation @ ( relation_rng_restriction @ X0 @ X1 ) )
| ~ ( relation @ X1 ) ),
inference(cnf,[status(esa)],[dt_k8_relat_1]) ).
thf(zip_derived_cl782,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X2 @ ( relation_dom @ ( relation_rng_restriction @ X1 @ X0 ) ) )
| ( ( apply @ ( relation_rng_restriction @ X1 @ X0 ) @ X2 )
= ( apply @ X0 @ X2 ) )
| ~ ( relation @ X0 )
| ~ ( function @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl781,zip_derived_cl25]) ).
thf(t87_funct_1,conjecture,
! [A: $i,B: $i,C: $i] :
( ( ( relation @ C )
& ( function @ C ) )
=> ( ( in @ B @ ( relation_dom @ ( relation_rng_restriction @ A @ C ) ) )
=> ( ( apply @ ( relation_rng_restriction @ A @ C ) @ B )
= ( apply @ C @ B ) ) ) ) ).
thf(zf_stmt_5,negated_conjecture,
~ ! [A: $i,B: $i,C: $i] :
( ( ( relation @ C )
& ( function @ C ) )
=> ( ( in @ B @ ( relation_dom @ ( relation_rng_restriction @ A @ C ) ) )
=> ( ( apply @ ( relation_rng_restriction @ A @ C ) @ B )
= ( apply @ C @ B ) ) ) ),
inference('cnf.neg',[status(esa)],[t87_funct_1]) ).
thf(zip_derived_cl52,plain,
( ( apply @ ( relation_rng_restriction @ sk__11 @ sk__13 ) @ sk__12 )
!= ( apply @ sk__13 @ sk__12 ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl788,plain,
( ( ( apply @ sk__13 @ sk__12 )
!= ( apply @ sk__13 @ sk__12 ) )
| ~ ( function @ sk__13 )
| ~ ( relation @ sk__13 )
| ~ ( in @ sk__12 @ ( relation_dom @ ( relation_rng_restriction @ sk__11 @ sk__13 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl782,zip_derived_cl52]) ).
thf(zip_derived_cl51,plain,
function @ sk__13,
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl50,plain,
relation @ sk__13,
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl53,plain,
in @ sk__12 @ ( relation_dom @ ( relation_rng_restriction @ sk__11 @ sk__13 ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl792,plain,
( ( apply @ sk__13 @ sk__12 )
!= ( apply @ sk__13 @ sk__12 ) ),
inference(demod,[status(thm)],[zip_derived_cl788,zip_derived_cl51,zip_derived_cl50,zip_derived_cl53]) ).
thf(zip_derived_cl793,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl792]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU045+1 : 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.DmIqgF4xjW true
% 0.13/0.34 % Computer : n003.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 18:35:52 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.35 % Number of cores: 8
% 0.19/0.35 % Python version: Python 3.6.8
% 0.19/0.35 % Running in FO mode
% 0.21/0.63 % Total configuration time : 435
% 0.21/0.63 % Estimated wc time : 1092
% 0.21/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.35/0.85 % Solved by fo/fo3_bce.sh.
% 1.35/0.85 % BCE start: 65
% 1.35/0.85 % BCE eliminated: 4
% 1.35/0.85 % PE start: 61
% 1.35/0.85 logic: eq
% 1.35/0.85 % PE eliminated: 3
% 1.35/0.85 % done 203 iterations in 0.126s
% 1.35/0.85 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.35/0.85 % SZS output start Refutation
% See solution above
% 1.35/0.85
% 1.35/0.85
% 1.35/0.85 % Terminating...
% 1.49/0.94 % Runner terminated.
% 1.75/0.95 % Zipperpin 1.5 exiting
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