TSTP Solution File: SEU149+2 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU149+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.A1CkrNr40w true
% Computer : n021.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 19:10:46 EDT 2023
% Result : Theorem 0.72s 0.79s
% Output : Refutation 0.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 10
% Syntax : Number of formulae : 30 ( 11 unt; 6 typ; 0 def)
% Number of atoms : 43 ( 31 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 97 ( 14 ~; 13 |; 0 &; 64 @)
% ( 4 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 5 ( 5 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 37 ( 0 ^; 37 !; 0 ?; 37 :)
% Comments :
%------------------------------------------------------------------------------
thf(unordered_pair_type,type,
unordered_pair: $i > $i > $i ).
thf(singleton_type,type,
singleton: $i > $i ).
thf(sk__13_type,type,
sk__13: $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(sk__15_type,type,
sk__15: $i ).
thf(sk__14_type,type,
sk__14: $i ).
thf(t8_zfmisc_1,conjecture,
! [A: $i,B: $i,C: $i] :
( ( ( singleton @ A )
= ( unordered_pair @ B @ C ) )
=> ( A = B ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i,C: $i] :
( ( ( singleton @ A )
= ( unordered_pair @ B @ C ) )
=> ( A = B ) ),
inference('cnf.neg',[status(esa)],[t8_zfmisc_1]) ).
thf(zip_derived_cl115,plain,
( ( singleton @ sk__13 )
= ( unordered_pair @ sk__14 @ sk__15 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl115_001,plain,
( ( singleton @ sk__13 )
= ( unordered_pair @ sk__14 @ sk__15 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(d2_tarski,axiom,
! [A: $i,B: $i,C: $i] :
( ( C
= ( unordered_pair @ A @ B ) )
<=> ! [D: $i] :
( ( in @ D @ C )
<=> ( ( D = A )
| ( D = B ) ) ) ) ).
thf(zip_derived_cl18,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 != X0 )
| ( in @ X1 @ X2 )
| ( X2
!= ( unordered_pair @ X3 @ X0 ) ) ),
inference(cnf,[status(esa)],[d2_tarski]) ).
thf(zip_derived_cl227,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0
!= ( unordered_pair @ X2 @ X1 ) )
| ( in @ X1 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl231,plain,
! [X0: $i] :
( ( X0
!= ( singleton @ sk__13 ) )
| ( in @ sk__15 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl115,zip_derived_cl227]) ).
thf(zip_derived_cl233,plain,
in @ sk__15 @ ( singleton @ sk__13 ),
inference(eq_res,[status(thm)],[zip_derived_cl231]) ).
thf(d1_tarski,axiom,
! [A: $i,B: $i] :
( ( B
= ( singleton @ A ) )
<=> ! [C: $i] :
( ( in @ C @ B )
<=> ( C = A ) ) ) ).
thf(zip_derived_cl9,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X0 @ X1 )
| ( X0 = X2 )
| ( X1
!= ( singleton @ X2 ) ) ),
inference(cnf,[status(esa)],[d1_tarski]) ).
thf(zip_derived_cl235,plain,
! [X0: $i] :
( ( sk__15 = X0 )
| ( ( singleton @ sk__13 )
!= ( singleton @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl233,zip_derived_cl9]) ).
thf(zip_derived_cl255,plain,
sk__15 = sk__13,
inference(eq_res,[status(thm)],[zip_derived_cl235]) ).
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_cl256,plain,
( ( singleton @ sk__13 )
= ( unordered_pair @ sk__13 @ sk__14 ) ),
inference(demod,[status(thm)],[zip_derived_cl115,zip_derived_cl255,zip_derived_cl2]) ).
thf(zip_derived_cl227_002,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0
!= ( unordered_pair @ X2 @ X1 ) )
| ( in @ X1 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl266,plain,
! [X0: $i] :
( ( X0
!= ( singleton @ sk__13 ) )
| ( in @ sk__14 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl256,zip_derived_cl227]) ).
thf(zip_derived_cl283,plain,
in @ sk__14 @ ( singleton @ sk__13 ),
inference(eq_res,[status(thm)],[zip_derived_cl266]) ).
thf(zip_derived_cl9_003,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X0 @ X1 )
| ( X0 = X2 )
| ( X1
!= ( singleton @ X2 ) ) ),
inference(cnf,[status(esa)],[d1_tarski]) ).
thf(zip_derived_cl285,plain,
! [X0: $i] :
( ( sk__14 = X0 )
| ( ( singleton @ sk__13 )
!= ( singleton @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl283,zip_derived_cl9]) ).
thf(zip_derived_cl296,plain,
sk__14 = sk__13,
inference(eq_res,[status(thm)],[zip_derived_cl285]) ).
thf(zip_derived_cl116,plain,
sk__13 != sk__14,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl297,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl296,zip_derived_cl116]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU149+2 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.A1CkrNr40w true
% 0.13/0.34 % Computer : n021.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 15:13:09 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
% 0.13/0.34 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.20/0.64 % Total configuration time : 435
% 0.20/0.64 % Estimated wc time : 1092
% 0.20/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.72/0.79 % Solved by fo/fo1_av.sh.
% 0.72/0.79 % done 143 iterations in 0.043s
% 0.72/0.79 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.72/0.79 % SZS output start Refutation
% See solution above
% 0.72/0.79
% 0.72/0.79
% 0.72/0.79 % Terminating...
% 1.27/0.84 % Runner terminated.
% 1.27/0.85 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------