TSTP Solution File: SET914+1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET914+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.5j8CmzVHFp true
% Computer : n032.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 16:16:47 EDT 2023
% Result : Theorem 0.14s 0.59s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 14
% Syntax : Number of formulae : 31 ( 8 unt; 8 typ; 0 def)
% Number of atoms : 48 ( 18 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 150 ( 23 ~; 16 |; 3 &; 102 @)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 47 ( 0 ^; 47 !; 0 ?; 47 :)
% Comments :
%------------------------------------------------------------------------------
thf(set_intersection2_type,type,
set_intersection2: $i > $i > $i ).
thf(sk__6_type,type,
sk__6: $i ).
thf(unordered_pair_type,type,
unordered_pair: $i > $i > $i ).
thf(sk__5_type,type,
sk__5: $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(sk__7_type,type,
sk__7: $i ).
thf(disjoint_type,type,
disjoint: $i > $i > $o ).
thf(empty_set_type,type,
empty_set: $i ).
thf(t55_zfmisc_1,conjecture,
! [A: $i,B: $i,C: $i] :
~ ( ( disjoint @ ( unordered_pair @ A @ B ) @ C )
& ( in @ A @ C ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i,C: $i] :
~ ( ( disjoint @ ( unordered_pair @ A @ B ) @ C )
& ( in @ A @ C ) ),
inference('cnf.neg',[status(esa)],[t55_zfmisc_1]) ).
thf(zip_derived_cl24,plain,
in @ sk__5 @ sk__7,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl25,plain,
disjoint @ ( unordered_pair @ sk__5 @ sk__6 ) @ sk__7,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(d7_xboole_0,axiom,
! [A: $i,B: $i] :
( ( disjoint @ A @ B )
<=> ( ( set_intersection2 @ A @ B )
= empty_set ) ) ).
thf(zip_derived_cl17,plain,
! [X0: $i,X1: $i] :
( ( ( set_intersection2 @ X0 @ X1 )
= empty_set )
| ~ ( disjoint @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[d7_xboole_0]) ).
thf(zip_derived_cl133,plain,
( ( set_intersection2 @ ( unordered_pair @ sk__5 @ sk__6 ) @ sk__7 )
= empty_set ),
inference('s_sup-',[status(thm)],[zip_derived_cl25,zip_derived_cl17]) ).
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_cl11,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( in @ X0 @ X1 )
| ~ ( in @ X0 @ X2 )
| ( in @ X0 @ X3 )
| ( X3
!= ( set_intersection2 @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[d3_xboole_0]) ).
thf(zip_derived_cl146,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X1 @ ( unordered_pair @ sk__5 @ sk__6 ) )
| ~ ( in @ X1 @ sk__7 )
| ( in @ X1 @ X0 )
| ( X0 != empty_set ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl133,zip_derived_cl11]) ).
thf(d1_xboole_0,axiom,
! [A: $i] :
( ( A = empty_set )
<=> ! [B: $i] :
~ ( in @ B @ A ) ) ).
thf(zip_derived_cl3,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X0 @ X1 )
| ( X1 != empty_set ) ),
inference(cnf,[status(esa)],[d1_xboole_0]) ).
thf(zip_derived_cl225,plain,
! [X0: $i,X1: $i] :
( ( X0 != empty_set )
| ~ ( in @ X1 @ sk__7 )
| ~ ( in @ X1 @ ( unordered_pair @ sk__5 @ sk__6 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl146,zip_derived_cl3]) ).
thf(zip_derived_cl226,plain,
! [X0: $i] :
( ~ ( in @ X0 @ ( unordered_pair @ sk__5 @ sk__6 ) )
| ~ ( in @ X0 @ sk__7 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl225]) ).
thf(zip_derived_cl233,plain,
~ ( in @ sk__5 @ ( unordered_pair @ sk__5 @ sk__6 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl24,zip_derived_cl226]) ).
thf(commutativity_k2_tarski,axiom,
! [A: $i,B: $i] :
( ( unordered_pair @ A @ B )
= ( unordered_pair @ B @ A ) ) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i] :
( ( unordered_pair @ X1 @ X0 )
= ( unordered_pair @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[commutativity_k2_tarski]) ).
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_cl5,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_cl111,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0
!= ( unordered_pair @ X2 @ X1 ) )
| ( in @ X1 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl112,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2
!= ( unordered_pair @ X1 @ X0 ) )
| ( in @ X1 @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl111]) ).
thf(zip_derived_cl117,plain,
! [X0: $i,X1: $i] : ( in @ X1 @ ( unordered_pair @ X1 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl112]) ).
thf(zip_derived_cl234,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl233,zip_derived_cl117]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SET914+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.09 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.5j8CmzVHFp true
% 0.09/0.28 % Computer : n032.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28 % CPULimit : 300
% 0.09/0.28 % WCLimit : 300
% 0.09/0.28 % DateTime : Sat Aug 26 12:51:43 EDT 2023
% 0.09/0.29 % CPUTime :
% 0.09/0.29 % Running portfolio for 300 s
% 0.09/0.29 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.29 % Number of cores: 8
% 0.09/0.29 % Python version: Python 3.6.8
% 0.09/0.29 % Running in FO mode
% 0.14/0.48 % Total configuration time : 435
% 0.14/0.48 % Estimated wc time : 1092
% 0.14/0.48 % Estimated cpu time (7 cpus) : 156.0
% 0.14/0.54 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.14/0.54 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.14/0.55 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.14/0.56 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.14/0.56 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.14/0.58 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.14/0.59 % Solved by fo/fo6_bce.sh.
% 0.14/0.59 % BCE start: 26
% 0.14/0.59 % BCE eliminated: 0
% 0.14/0.59 % PE start: 26
% 0.14/0.59 logic: eq
% 0.14/0.59 % PE eliminated: 1
% 0.14/0.59 % done 67 iterations in 0.039s
% 0.14/0.59 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.14/0.59 % SZS output start Refutation
% See solution above
% 0.14/0.59
% 0.14/0.59
% 0.14/0.59 % Terminating...
% 0.14/0.68 % Runner terminated.
% 0.14/0.69 % Zipperpin 1.5 exiting
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