TSTP Solution File: SEU177+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU177+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.SOFdUDr1tC true
% Computer : n001.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 19:11:02 EDT 2023
% Result : Theorem 0.21s 0.76s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 15
% Syntax : Number of formulae : 39 ( 15 unt; 10 typ; 0 def)
% Number of atoms : 59 ( 19 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 226 ( 23 ~; 18 |; 2 &; 173 @)
% ( 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 : 50 ( 0 ^; 48 !; 2 ?; 50 :)
% Comments :
%------------------------------------------------------------------------------
thf(relation_rng_type,type,
relation_rng: $i > $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(sk__5_type,type,
sk__5: $i ).
thf(ordered_pair_type,type,
ordered_pair: $i > $i > $i ).
thf(sk__6_type,type,
sk__6: $i ).
thf(relation_dom_type,type,
relation_dom: $i > $i ).
thf(singleton_type,type,
singleton: $i > $i ).
thf(sk__4_type,type,
sk__4: $i ).
thf(relation_type,type,
relation: $i > $o ).
thf(unordered_pair_type,type,
unordered_pair: $i > $i > $i ).
thf(t20_relat_1,conjecture,
! [A: $i,B: $i,C: $i] :
( ( relation @ C )
=> ( ( in @ ( ordered_pair @ A @ B ) @ C )
=> ( ( in @ A @ ( relation_dom @ C ) )
& ( in @ B @ ( relation_rng @ C ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i,C: $i] :
( ( relation @ C )
=> ( ( in @ ( ordered_pair @ A @ B ) @ C )
=> ( ( in @ A @ ( relation_dom @ C ) )
& ( in @ B @ ( relation_rng @ C ) ) ) ) ),
inference('cnf.neg',[status(esa)],[t20_relat_1]) ).
thf(zip_derived_cl26,plain,
in @ ( ordered_pair @ sk__4 @ sk__5 ) @ sk__6,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(d5_tarski,axiom,
! [A: $i,B: $i] :
( ( ordered_pair @ A @ B )
= ( unordered_pair @ ( unordered_pair @ A @ B ) @ ( singleton @ A ) ) ) ).
thf(zip_derived_cl23,plain,
! [X0: $i,X1: $i] :
( ( ordered_pair @ X0 @ X1 )
= ( unordered_pair @ ( unordered_pair @ X0 @ X1 ) @ ( singleton @ X0 ) ) ),
inference(cnf,[status(esa)],[d5_tarski]) ).
thf(commutativity_k2_tarski,axiom,
! [A: $i,B: $i] :
( ( unordered_pair @ A @ B )
= ( unordered_pair @ B @ A ) ) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i] :
( ( unordered_pair @ X1 @ X0 )
= ( unordered_pair @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[commutativity_k2_tarski]) ).
thf(zip_derived_cl170,plain,
! [X0: $i,X1: $i] :
( ( ordered_pair @ X0 @ X1 )
= ( unordered_pair @ ( singleton @ X0 ) @ ( unordered_pair @ X0 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23,zip_derived_cl2]) ).
thf(zip_derived_cl172,plain,
in @ ( unordered_pair @ ( singleton @ sk__4 ) @ ( unordered_pair @ sk__4 @ sk__5 ) ) @ sk__6,
inference(demod,[status(thm)],[zip_derived_cl26,zip_derived_cl170]) ).
thf(zip_derived_cl24,plain,
relation @ sk__6,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(d4_relat_1,axiom,
! [A: $i] :
( ( relation @ A )
=> ! [B: $i] :
( ( B
= ( relation_dom @ A ) )
<=> ! [C: $i] :
( ( in @ C @ B )
<=> ? [D: $i] : ( in @ ( ordered_pair @ C @ D ) @ A ) ) ) ) ).
thf(zip_derived_cl30,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1
!= ( relation_dom @ X0 ) )
| ( in @ X2 @ X1 )
| ~ ( in @ ( ordered_pair @ X2 @ X3 ) @ X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[d4_relat_1]) ).
thf(zip_derived_cl148,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ ( ordered_pair @ X1 @ X2 ) @ sk__6 )
| ( in @ X1 @ X0 )
| ( X0
!= ( relation_dom @ sk__6 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl24,zip_derived_cl30]) ).
thf(zip_derived_cl170_001,plain,
! [X0: $i,X1: $i] :
( ( ordered_pair @ X0 @ X1 )
= ( unordered_pair @ ( singleton @ X0 ) @ ( unordered_pair @ X0 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23,zip_derived_cl2]) ).
thf(zip_derived_cl182,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ ( unordered_pair @ ( singleton @ X1 ) @ ( unordered_pair @ X1 @ X2 ) ) @ sk__6 )
| ( in @ X1 @ X0 )
| ( X0
!= ( relation_dom @ sk__6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl148,zip_derived_cl170]) ).
thf(zip_derived_cl202,plain,
! [X0: $i] :
( ( X0
!= ( relation_dom @ sk__6 ) )
| ( in @ sk__4 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl172,zip_derived_cl182]) ).
thf(zip_derived_cl25,plain,
( ~ ( in @ sk__4 @ ( relation_dom @ sk__6 ) )
| ~ ( in @ sk__5 @ ( relation_rng @ sk__6 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl172_002,plain,
in @ ( unordered_pair @ ( singleton @ sk__4 ) @ ( unordered_pair @ sk__4 @ sk__5 ) ) @ sk__6,
inference(demod,[status(thm)],[zip_derived_cl26,zip_derived_cl170]) ).
thf(zip_derived_cl24_003,plain,
relation @ sk__6,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(d5_relat_1,axiom,
! [A: $i] :
( ( relation @ A )
=> ! [B: $i] :
( ( B
= ( relation_rng @ A ) )
<=> ! [C: $i] :
( ( in @ C @ B )
<=> ? [D: $i] : ( in @ ( ordered_pair @ D @ C ) @ A ) ) ) ) ).
thf(zip_derived_cl34,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1
!= ( relation_rng @ X0 ) )
| ( in @ X2 @ X1 )
| ~ ( in @ ( ordered_pair @ X3 @ X2 ) @ X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[d5_relat_1]) ).
thf(zip_derived_cl152,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ ( ordered_pair @ X2 @ X1 ) @ sk__6 )
| ( in @ X1 @ X0 )
| ( X0
!= ( relation_rng @ sk__6 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl24,zip_derived_cl34]) ).
thf(zip_derived_cl170_004,plain,
! [X0: $i,X1: $i] :
( ( ordered_pair @ X0 @ X1 )
= ( unordered_pair @ ( singleton @ X0 ) @ ( unordered_pair @ X0 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23,zip_derived_cl2]) ).
thf(zip_derived_cl185,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ ( unordered_pair @ ( singleton @ X2 ) @ ( unordered_pair @ X2 @ X1 ) ) @ sk__6 )
| ( in @ X1 @ X0 )
| ( X0
!= ( relation_rng @ sk__6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl152,zip_derived_cl170]) ).
thf(zip_derived_cl203,plain,
! [X0: $i] :
( ( X0
!= ( relation_rng @ sk__6 ) )
| ( in @ sk__5 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl172,zip_derived_cl185]) ).
thf(zip_derived_cl227,plain,
( ~ ( in @ sk__4 @ ( relation_dom @ sk__6 ) )
| ( ( relation_rng @ sk__6 )
!= ( relation_rng @ sk__6 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl25,zip_derived_cl203]) ).
thf(zip_derived_cl228,plain,
~ ( in @ sk__4 @ ( relation_dom @ sk__6 ) ),
inference(simplify,[status(thm)],[zip_derived_cl227]) ).
thf(zip_derived_cl232,plain,
( ( relation_dom @ sk__6 )
!= ( relation_dom @ sk__6 ) ),
inference('sup-',[status(thm)],[zip_derived_cl202,zip_derived_cl228]) ).
thf(zip_derived_cl233,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl232]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU177+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.SOFdUDr1tC true
% 0.13/0.35 % Computer : n001.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Aug 23 15:42:54 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.36 % Running in FO mode
% 0.21/0.65 % Total configuration time : 435
% 0.21/0.65 % Estimated wc time : 1092
% 0.21/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.76 % Solved by fo/fo3_bce.sh.
% 0.21/0.76 % BCE start: 35
% 0.21/0.76 % BCE eliminated: 0
% 0.21/0.76 % PE start: 35
% 0.21/0.76 logic: eq
% 0.21/0.76 % PE eliminated: -4
% 0.21/0.76 % done 56 iterations in 0.025s
% 0.21/0.76 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.21/0.76 % SZS output start Refutation
% See solution above
% 0.21/0.76
% 0.21/0.76
% 0.21/0.76 % Terminating...
% 1.63/0.85 % Runner terminated.
% 1.63/0.86 % Zipperpin 1.5 exiting
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