TSTP Solution File: QUA012^1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : QUA012^1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.OqmT6v9700 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 13:32:24 EDT 2023
% Result : Theorem 0.16s 0.79s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 15
% Syntax : Number of formulae : 33 ( 24 unt; 6 typ; 0 def)
% Number of atoms : 72 ( 36 equ; 0 cnn)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 162 ( 5 ~; 0 |; 20 &; 121 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 36 ( 36 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 6 usr; 4 con; 0-3 aty)
% ( 4 !!; 12 ??; 0 @@+; 0 @@-)
% Number of variables : 63 ( 40 ^; 15 !; 8 ?; 63 :)
% Comments :
%------------------------------------------------------------------------------
thf(emptyset_type,type,
emptyset: $i > $o ).
thf(zero_type,type,
zero: $i ).
thf(crossmult_type,type,
crossmult: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(sup_type,type,
sup: ( $i > $o ) > $i ).
thf(multiplication_type,type,
multiplication: $i > $i > $i ).
thf('#sk1_type',type,
'#sk1': $i > $o ).
thf(multiplication_anni,conjecture,
! [X: $i > $o] :
( ( multiplication @ zero @ ( sup @ X ) )
= zero ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [X: $i > $o] :
( ( multiplication @ zero @ ( sup @ X ) )
= zero ),
inference('cnf.neg',[status(esa)],[multiplication_anni]) ).
thf(zip_derived_cl8,plain,
~ ( !!
@ ^ [Y0: $i > $o] :
( ( multiplication @ zero @ ( sup @ Y0 ) )
= zero ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl27,plain,
( ( multiplication @ zero @ ( sup @ '#sk1' ) )
!= zero ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl28,plain,
( ( multiplication @ zero @ ( sup @ '#sk1' ) )
!= zero ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl27]) ).
thf(emptyset_def,axiom,
( emptyset
= ( ^ [X: $i] : $false ) ) ).
thf('0',plain,
( emptyset
= ( ^ [X: $i] : $false ) ),
inference(simplify_rw_rule,[status(thm)],[emptyset_def]) ).
thf('1',plain,
( emptyset
= ( ^ [V_1: $i] : $false ) ),
define([status(thm)]) ).
thf(sup_es,axiom,
( ( sup @ emptyset )
= zero ) ).
thf(zf_stmt_1,axiom,
( ( sup
@ ^ [V_1: $i] : $false )
= zero ) ).
thf(zip_derived_cl0,plain,
( ( sup
@ ^ [Y0: $i] : $false )
= zero ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(crossmult_def,axiom,
( crossmult
= ( ^ [X: $i > $o,Y: $i > $o,A: $i] :
? [X1: $i,Y1: $i] :
( ( A
= ( multiplication @ X1 @ Y1 ) )
& ( Y @ Y1 )
& ( X @ X1 ) ) ) ) ).
thf('2',plain,
( crossmult
= ( ^ [X: $i > $o,Y: $i > $o,A: $i] :
? [X1: $i,Y1: $i] :
( ( A
= ( multiplication @ X1 @ Y1 ) )
& ( Y @ Y1 )
& ( X @ X1 ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[crossmult_def]) ).
thf('3',plain,
( crossmult
= ( ^ [V_1: $i > $o,V_2: $i > $o,V_3: $i] :
? [X4: $i,X6: $i] :
( ( V_3
= ( multiplication @ X4 @ X6 ) )
& ( V_2 @ X6 )
& ( V_1 @ X4 ) ) ) ),
define([status(thm)]) ).
thf(multiplication_def,axiom,
! [X: $i > $o,Y: $i > $o] :
( ( multiplication @ ( sup @ X ) @ ( sup @ Y ) )
= ( sup @ ( crossmult @ X @ Y ) ) ) ).
thf(zf_stmt_2,axiom,
! [X4: $i > $o,X6: $i > $o] :
( ( multiplication @ ( sup @ X4 ) @ ( sup @ X6 ) )
= ( sup
@ ^ [V_1: $i] :
? [X8: $i,X10: $i] :
( ( X4 @ X8 )
& ( X6 @ X10 )
& ( V_1
= ( multiplication @ X8 @ X10 ) ) ) ) ) ).
thf(zip_derived_cl5,plain,
( !!
@ ^ [Y0: $i > $o] :
( !!
@ ^ [Y1: $i > $o] :
( ( multiplication @ ( sup @ Y0 ) @ ( sup @ Y1 ) )
= ( sup
@ ^ [Y2: $i] :
( ??
@ ^ [Y3: $i] :
( ??
@ ^ [Y4: $i] :
( ( Y0 @ Y3 )
& ( Y1 @ Y4 )
& ( Y2
= ( multiplication @ Y3 @ Y4 ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl87,plain,
! [X2: $i > $o] :
( !!
@ ^ [Y0: $i > $o] :
( ( multiplication @ ( sup @ X2 ) @ ( sup @ Y0 ) )
= ( sup
@ ^ [Y1: $i] :
( ??
@ ^ [Y2: $i] :
( ??
@ ^ [Y3: $i] :
( ( X2 @ Y2 )
& ( Y0 @ Y3 )
& ( Y1
= ( multiplication @ Y2 @ Y3 ) ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl93,plain,
! [X2: $i > $o,X4: $i > $o] :
( ( multiplication @ ( sup @ X2 ) @ ( sup @ X4 ) )
= ( sup
@ ^ [Y0: $i] :
( ??
@ ^ [Y1: $i] :
( ??
@ ^ [Y2: $i] :
( ( X2 @ Y1 )
& ( X4 @ Y2 )
& ( Y0
= ( multiplication @ Y1 @ Y2 ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl87]) ).
thf(zip_derived_cl99,plain,
! [X2: $i > $o,X4: $i > $o] :
( ( multiplication @ ( sup @ X2 ) @ ( sup @ X4 ) )
= ( sup
@ ^ [Y0: $i] :
( ??
@ ^ [Y1: $i] :
( ??
@ ^ [Y2: $i] :
( ( X2 @ Y1 )
& ( X4 @ Y2 )
& ( Y0
= ( multiplication @ Y1 @ Y2 ) ) ) ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl93]) ).
thf(zip_derived_cl116,plain,
! [X0: $i > $o] :
( ( multiplication @ zero @ ( sup @ X0 ) )
= ( sup
@ ^ [Y0: $i] :
( ??
@ ^ [Y1: $i] :
( ??
@ ^ [Y2: $i] :
( ( ^ [Y3: $i] : $false
@ Y1 )
& ( X0 @ Y2 )
& ( Y0
= ( multiplication @ Y1 @ Y2 ) ) ) ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl99]) ).
thf(zip_derived_cl126,plain,
! [X0: $i > $o] :
( ( multiplication @ zero @ ( sup @ X0 ) )
= ( sup
@ ^ [Y0: $i] :
( ??
@ ^ [Y1: $i] :
( ??
@ ^ [Y2: $i] :
( $false
& ( X0 @ Y2 )
& ( Y0
= ( multiplication @ Y1 @ Y2 ) ) ) ) ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl116]) ).
thf(zip_derived_cl127,plain,
! [X0: $i > $o] :
( ( multiplication @ zero @ ( sup @ X0 ) )
= ( sup
@ ^ [Y0: $i] : $false ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl126]) ).
thf(zip_derived_cl0_001,plain,
( ( sup
@ ^ [Y0: $i] : $false )
= zero ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl140,plain,
! [X0: $i > $o] :
( ( multiplication @ zero @ ( sup @ X0 ) )
= zero ),
inference(demod,[status(thm)],[zip_derived_cl127,zip_derived_cl0]) ).
thf(zip_derived_cl141,plain,
zero != zero,
inference(demod,[status(thm)],[zip_derived_cl28,zip_derived_cl140]) ).
thf(zip_derived_cl142,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl141]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : QUA012^1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.11 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.OqmT6v9700 true
% 0.10/0.32 % Computer : n032.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Sat Aug 26 16:48:14 EDT 2023
% 0.10/0.32 % CPUTime :
% 0.10/0.32 % Running portfolio for 300 s
% 0.10/0.32 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.32 % Number of cores: 8
% 0.10/0.32 % Python version: Python 3.6.8
% 0.10/0.32 % Running in HO mode
% 0.16/0.54 % Total configuration time : 828
% 0.16/0.54 % Estimated wc time : 1656
% 0.16/0.54 % Estimated cpu time (8 cpus) : 207.0
% 0.16/0.65 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.16/0.65 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.16/0.65 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.16/0.65 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.16/0.66 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.16/0.66 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.16/0.69 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.16/0.73 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.16/0.74 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 0.16/0.79 % Solved by lams/35_full_unif4.sh.
% 0.16/0.79 % done 23 iterations in 0.108s
% 0.16/0.79 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.16/0.79 % SZS output start Refutation
% See solution above
% 0.16/0.79
% 0.16/0.79
% 0.16/0.79 % Terminating...
% 0.16/0.86 % Runner terminated.
% 1.46/0.88 % Zipperpin 1.5 exiting
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