TSTP Solution File: SYO378^5 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYO378^5 : TPTP v8.1.2. Bugfixed v5.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.m57EAmUq1U true
% Computer : n012.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 : Fri Sep 1 05:50:54 EDT 2023
% Result : Theorem 1.45s 0.80s
% Output : Refutation 1.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 12
% Syntax : Number of formulae : 30 ( 18 unt; 4 typ; 0 def)
% Number of atoms : 83 ( 52 equ; 0 cnn)
% Maximal formula atoms : 3 ( 3 avg)
% Number of connectives : 101 ( 20 ~; 6 |; 19 &; 42 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 54 ( 54 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 4 usr; 3 con; 0-2 aty)
% ( 0 !!; 14 ??; 0 @@+; 0 @@-)
% Number of variables : 71 ( 44 ^; 14 !; 13 ?; 71 :)
% Comments :
%------------------------------------------------------------------------------
thf(c_type,type,
c: $i ).
thf(cQDP1_type,type,
cQDP1: ( $i > $o ) > $o ).
thf(cQDP2_type,type,
cQDP2: ( ( $i > $o ) > $o ) > $o ).
thf(cQDP0_type,type,
cQDP0: $i > $o ).
thf(cQDP2_def,axiom,
( cQDP2
= ( ^ [Xz: ( $i > $o ) > $o] :
( ( Xz = cQDP1 )
& ? [Xt: $i > $o] : ( Xz @ Xt ) ) ) ) ).
thf(cQDP1_def,axiom,
( cQDP1
= ( ^ [Xz: $i > $o] :
( ( Xz = cQDP0 )
& ? [Xt: $i] : ( Xz @ Xt ) ) ) ) ).
thf(cQDP0_def,axiom,
( cQDP0
= ( ^ [Xz: $i] : ( Xz = c ) ) ) ).
thf('0',plain,
( cQDP0
= ( ^ [Xz: $i] : ( Xz = c ) ) ),
inference(simplify_rw_rule,[status(thm)],[cQDP0_def]) ).
thf('1',plain,
( cQDP0
= ( ^ [V_1: $i] : ( V_1 = c ) ) ),
define([status(thm)]) ).
thf('2',plain,
( cQDP1
= ( ^ [Xz: $i > $o] :
( ( Xz = cQDP0 )
& ? [Xt: $i] : ( Xz @ Xt ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[cQDP1_def,'1']) ).
thf('3',plain,
( cQDP1
= ( ^ [V_1: $i > $o] :
( ( V_1 = cQDP0 )
& ? [X4: $i] : ( V_1 @ X4 ) ) ) ),
define([status(thm)]) ).
thf('4',plain,
( cQDP2
= ( ^ [Xz: ( $i > $o ) > $o] :
( ( Xz = cQDP1 )
& ? [Xt: $i > $o] : ( Xz @ Xt ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[cQDP2_def,'3','1']) ).
thf('5',plain,
( cQDP2
= ( ^ [V_1: ( $i > $o ) > $o] :
( ( V_1 = cQDP1 )
& ? [X4: $i > $o] : ( V_1 @ X4 ) ) ) ),
define([status(thm)]) ).
thf(cQDTHM2,conjecture,
? [Xs: ( $i > $o ) > $o] : ( cQDP2 @ Xs ) ).
thf(zf_stmt_0,conjecture,
? [X4: ( $i > $o ) > $o] :
( ? [X8: $i > $o] : ( X4 @ X8 )
& ( X4
= ( ^ [V_1: $i > $o] :
( ? [X6: $i] : ( V_1 @ X6 )
& ( V_1
= ( ^ [V_2: $i] : ( V_2 = c ) ) ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ? [X4: ( $i > $o ) > $o] :
( ? [X8: $i > $o] : ( X4 @ X8 )
& ( X4
= ( ^ [V_1: $i > $o] :
( ? [X6: $i] : ( V_1 @ X6 )
& ( V_1
= ( ^ [V_2: $i] : ( V_2 = c ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
~ ( ??
@ ^ [Y0: ( $i > $o ) > $o] :
( ( ??
@ ^ [Y1: $i > $o] : ( Y0 @ Y1 ) )
& ( Y0
= ( ^ [Y1: $i > $o] :
( ( ??
@ ^ [Y2: $i] : ( Y1 @ Y2 ) )
& ( Y1
= ( ^ [Y2: $i] : ( Y2 = c ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1,plain,
! [X2: ( $i > $o ) > $o] :
~ ( ( ??
@ ^ [Y0: $i > $o] : ( X2 @ Y0 ) )
& ( X2
= ( ^ [Y0: $i > $o] :
( ( ??
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
& ( Y0
= ( ^ [Y1: $i] : ( Y1 = c ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl2,plain,
! [X2: ( $i > $o ) > $o] :
( ~ ( ??
@ ^ [Y0: $i > $o] : ( X2 @ Y0 ) )
| ( X2
!= ( ^ [Y0: $i > $o] :
( ( ??
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
& ( Y0
= ( ^ [Y1: $i] : ( Y1 = c ) ) ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl3,plain,
! [X2: ( $i > $o ) > $o] :
( ~ ( ??
@ ^ [Y0: $i > $o] : ( X2 @ Y0 ) )
| ( X2
!= ( ^ [Y0: $i > $o] :
( ( ??
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
& ( Y0
= ( ^ [Y1: $i] : ( Y1 = c ) ) ) ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl4,plain,
! [X2: ( $i > $o ) > $o,X4: $i > $o] :
( ~ ( X2 @ X4 )
| ( X2
!= ( ^ [Y0: $i > $o] :
( ( ??
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
& ( Y0
= ( ^ [Y1: $i] : ( Y1 = c ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl12,plain,
! [X0: $i > $o] :
~ ( ^ [Y0: $i > $o] :
( ( ??
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
& ( Y0
= ( ^ [Y1: $i] : ( Y1 = c ) ) ) )
@ X0 ),
inference(eq_res,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl13,plain,
! [X0: $i > $o] :
~ ( ( ??
@ ^ [Y0: $i] : ( X0 @ Y0 ) )
& ( X0
= ( ^ [Y0: $i] : ( Y0 = c ) ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl19,plain,
! [X0: $i > $o] :
( ~ ( ??
@ ^ [Y0: $i] : ( X0 @ Y0 ) )
| ( X0
!= ( ^ [Y0: $i] : ( Y0 = c ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl20,plain,
! [X0: $i > $o] :
( ~ ( ??
@ ^ [Y0: $i] : ( X0 @ Y0 ) )
| ( X0
!= ( ^ [Y0: $i] : ( Y0 = c ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl21,plain,
! [X0: $i > $o,X2: $i] :
( ~ ( X0 @ X2 )
| ( X0
!= ( ^ [Y0: $i] : ( Y0 = c ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl27,plain,
! [X0: $i] :
~ ( ^ [Y0: $i] : ( Y0 = c )
@ X0 ),
inference(eq_res,[status(thm)],[zip_derived_cl21]) ).
thf(zip_derived_cl28,plain,
! [X0: $i] : ( X0 != c ),
inference(ho_norm,[status(thm)],[zip_derived_cl27]) ).
thf(zip_derived_cl29,plain,
! [X0: $i] : ( X0 != c ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl28]) ).
thf(zip_derived_cl30,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYO378^5 : TPTP v8.1.2. Bugfixed v5.2.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.m57EAmUq1U true
% 0.19/0.35 % Computer : n012.cluster.edu
% 0.19/0.35 % Model : x86_64 x86_64
% 0.19/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.35 % Memory : 8042.1875MB
% 0.19/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.19/0.35 % CPULimit : 300
% 0.19/0.35 % WCLimit : 300
% 0.19/0.35 % DateTime : Sat Aug 26 06:21:25 EDT 2023
% 0.19/0.35 % CPUTime :
% 0.19/0.35 % Running portfolio for 300 s
% 0.19/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.35 % Number of cores: 8
% 0.19/0.36 % Python version: Python 3.6.8
% 0.19/0.36 % Running in HO mode
% 0.22/0.68 % Total configuration time : 828
% 0.22/0.68 % Estimated wc time : 1656
% 0.22/0.68 % Estimated cpu time (8 cpus) : 207.0
% 0.22/0.75 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.22/0.77 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.22/0.77 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.22/0.78 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.22/0.78 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.22/0.78 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.22/0.78 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 1.45/0.80 % Solved by lams/35_full_unif4.sh.
% 1.45/0.80 % done 2 iterations in 0.013s
% 1.45/0.80 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.45/0.80 % SZS output start Refutation
% See solution above
% 1.45/0.80
% 1.45/0.80
% 1.45/0.80 % Terminating...
% 1.69/0.88 % Runner terminated.
% 1.69/0.90 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------