TSTP Solution File: NUM653^1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM653^1 : TPTP v8.1.2. Released v3.7.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.KBU7oJy37I true
% Computer : n003.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 12:43:06 EDT 2023
% Result : Theorem 1.21s 0.81s
% Output : Refutation 1.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 27 ( 8 unt; 5 typ; 0 def)
% Number of atoms : 73 ( 17 equ; 16 cnn)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 163 ( 37 ~; 5 |; 0 &; 91 @)
% ( 0 <=>; 27 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 4 usr; 5 con; 0-2 aty)
% ( 3 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 21 ( 3 ^; 18 !; 0 ?; 21 :)
% Comments :
%------------------------------------------------------------------------------
thf(nat_type,type,
nat: $tType ).
thf(more_type,type,
more: nat > nat > $o ).
thf(y_type,type,
y: nat ).
thf(less_type,type,
less: nat > nat > $o ).
thf(x_type,type,
x: nat ).
thf(satz10d,conjecture,
~ ( more @ x @ y ) ).
thf(zf_stmt_0,negated_conjecture,
more @ x @ y,
inference('cnf.neg',[status(esa)],[satz10d]) ).
thf(zip_derived_cl3,plain,
more @ x @ y,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(satz10b,axiom,
! [Xx: nat,Xy: nat] :
~ ( ( ( Xx = Xy )
=> ~ ( more @ Xx @ Xy ) )
=> ( ( ( more @ Xx @ Xy )
=> ~ ( less @ Xx @ Xy ) )
=> ~ ( ( less @ Xx @ Xy )
=> ( Xx != Xy ) ) ) ) ).
thf(zip_derived_cl2,plain,
( !!
@ ^ [Y0: nat] :
( !!
@ ^ [Y1: nat] :
( (~)
@ ( ( ( Y0 = Y1 )
=> ( (~) @ ( more @ Y0 @ Y1 ) ) )
=> ( ( ( more @ Y0 @ Y1 )
=> ( (~) @ ( less @ Y0 @ Y1 ) ) )
=> ( (~)
@ ( ( less @ Y0 @ Y1 )
=> ( Y0 != Y1 ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[satz10b]) ).
thf(zip_derived_cl7,plain,
! [X2: nat] :
( !!
@ ^ [Y0: nat] :
( (~)
@ ( ( ( X2 = Y0 )
=> ( (~) @ ( more @ X2 @ Y0 ) ) )
=> ( ( ( more @ X2 @ Y0 )
=> ( (~) @ ( less @ X2 @ Y0 ) ) )
=> ( (~)
@ ( ( less @ X2 @ Y0 )
=> ( X2 != Y0 ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl8,plain,
! [X2: nat,X4: nat] :
~ ( ( ( X2 = X4 )
=> ( (~) @ ( more @ X2 @ X4 ) ) )
=> ( ( ( more @ X2 @ X4 )
=> ( (~) @ ( less @ X2 @ X4 ) ) )
=> ( (~)
@ ( ( less @ X2 @ X4 )
=> ( X2 != X4 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl10,plain,
! [X2: nat,X4: nat] :
~ ( ( ( more @ X2 @ X4 )
=> ( (~) @ ( less @ X2 @ X4 ) ) )
=> ( (~)
@ ( ( less @ X2 @ X4 )
=> ( X2 != X4 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl12,plain,
! [X2: nat,X4: nat] :
( ( more @ X2 @ X4 )
=> ( (~) @ ( less @ X2 @ X4 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl16,plain,
! [X2: nat,X4: nat] :
( ~ ( more @ X2 @ X4 )
| ~ ( less @ X2 @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl3_001,plain,
more @ x @ y,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl20,plain,
~ ( less @ x @ y ),
inference('sup+',[status(thm)],[zip_derived_cl16,zip_derived_cl3]) ).
thf(l,axiom,
( ~ ( less @ x @ y )
=> ( x = y ) ) ).
thf(zip_derived_cl0,plain,
( ( (~) @ ( less @ x @ y ) )
=> ( x = y ) ),
inference(cnf,[status(esa)],[l]) ).
thf(zip_derived_cl4,plain,
( ( less @ x @ y )
| ( x = y ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl5,plain,
( ( less @ x @ y )
| ( x = y ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl24,plain,
x = y,
inference('sup+',[status(thm)],[zip_derived_cl20,zip_derived_cl5]) ).
thf(zip_derived_cl9,plain,
! [X2: nat,X4: nat] :
( ( X2 = X4 )
=> ( (~) @ ( more @ X2 @ X4 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl11,plain,
! [X2: nat,X4: nat] :
( ( X2 != X4 )
| ~ ( more @ X2 @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl14,plain,
! [X2: nat,X4: nat] :
( ( X2 != X4 )
| ~ ( more @ X2 @ X4 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl15,plain,
! [X4: nat] :
~ ( more @ X4 @ X4 ),
inference(simplify,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl28,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl3,zip_derived_cl24,zip_derived_cl15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM653^1 : TPTP v8.1.2. Released v3.7.0.
% 0.13/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.KBU7oJy37I true
% 0.13/0.35 % Computer : n003.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 : Fri Aug 25 10:18:23 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
% 0.13/0.35 % Running in HO mode
% 0.21/0.69 % Total configuration time : 828
% 0.21/0.69 % Estimated wc time : 1656
% 0.21/0.69 % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.78 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.78 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.78 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.79 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.21/0.79 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 1.21/0.80 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 1.21/0.80 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.21/0.81 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 1.21/0.81 % Solved by lams/35_full_unif4.sh.
% 1.21/0.81 % done 7 iterations in 0.011s
% 1.21/0.81 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.21/0.81 % SZS output start Refutation
% See solution above
% 1.21/0.81
% 1.21/0.81
% 1.21/0.81 % Terminating...
% 1.65/0.90 % Runner terminated.
% 1.65/0.92 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------