%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM767^1 : TPTP v9.2.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ty2V09d5Vb true
% Computer : n027.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 Oct 2 04:48:17 PM UTC 2025
% Result : Theorem 0.54s 0.82s
% Output : Refutation 0.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of formulae : 30 ( 10 unt; 0 typ; 0 def)
% Number of atoms : 72 ( 0 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 216 ( 9 ~; 7 |; 0 &; 165 @)
% ( 0 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 7 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 6 usr; 6 con; 0-2 aty)
% ( 15 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 51 ( 15 ^; 36 !; 0 ?; 51 :)
% Comments :
%------------------------------------------------------------------------------
thf(frac_type,type,
frac: $tType ).
thf(w_type,type,
w: frac ).
thf(y_type,type,
y: frac ).
thf(pf_type,type,
pf: frac > frac > frac ).
thf(eq_type,type,
eq: frac > frac > $o ).
thf(v_type,type,
v: frac ).
thf(x_type,type,
x: frac ).
thf(satz67b,conjecture,
eq @ v @ w ).
thf(zf_stmt_0,negated_conjecture,
~ ( eq @ v @ w ),
inference('cnf.neg',[status(esa)],[satz67b]) ).
thf(zip_derived_cl5,plain,
~ ( eq @ v @ w ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(f,axiom,
eq @ ( pf @ y @ w ) @ x ).
thf(zip_derived_cl1,plain,
eq @ ( pf @ y @ w ) @ x,
inference(cnf,[status(esa)],[f]) ).
thf(satz38,axiom,
! [Xx: frac,Xy: frac] :
( ( eq @ Xx @ Xy )
=> ( eq @ Xy @ Xx ) ) ).
thf(zip_derived_cl4,plain,
( !!
@ ^ [Y0: frac] :
( !!
@ ^ [Y1: frac] :
( ( eq @ Y0 @ Y1 )
=> ( eq @ Y1 @ Y0 ) ) ) ),
inference(cnf,[status(esa)],[satz38]) ).
thf(zip_derived_cl6,plain,
! [X2: frac] :
( !!
@ ^ [Y0: frac] :
( ( eq @ X2 @ Y0 )
=> ( eq @ Y0 @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl7,plain,
! [X2: frac,X4: frac] :
( ( eq @ X2 @ X4 )
=> ( eq @ X4 @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl8,plain,
! [X2: frac,X4: frac] :
( ~ ( eq @ X2 @ X4 )
| ( eq @ X4 @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl9,plain,
eq @ x @ ( pf @ y @ w ),
inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl8]) ).
thf(satz39,axiom,
! [Xx: frac,Xy: frac,Xz: frac] :
( ( eq @ Xx @ Xy )
=> ( ( eq @ Xy @ Xz )
=> ( eq @ Xx @ Xz ) ) ) ).
thf(zip_derived_cl3,plain,
( !!
@ ^ [Y0: frac] :
( !!
@ ^ [Y1: frac] :
( !!
@ ^ [Y2: frac] :
( ( eq @ Y0 @ Y1 )
=> ( ( eq @ Y1 @ Y2 )
=> ( eq @ Y0 @ Y2 ) ) ) ) ) ),
inference(cnf,[status(esa)],[satz39]) ).
thf(zip_derived_cl19,plain,
! [X2: frac] :
( !!
@ ^ [Y0: frac] :
( !!
@ ^ [Y1: frac] :
( ( eq @ X2 @ Y0 )
=> ( ( eq @ Y0 @ Y1 )
=> ( eq @ X2 @ Y1 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl20,plain,
! [X2: frac,X4: frac] :
( !!
@ ^ [Y0: frac] :
( ( eq @ X2 @ X4 )
=> ( ( eq @ X4 @ Y0 )
=> ( eq @ X2 @ Y0 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl21,plain,
! [X2: frac,X4: frac,X6: frac] :
( ( eq @ X2 @ X4 )
=> ( ( eq @ X4 @ X6 )
=> ( eq @ X2 @ X6 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl22,plain,
! [X2: frac,X4: frac,X6: frac] :
( ~ ( eq @ X2 @ X4 )
| ( ( eq @ X4 @ X6 )
=> ( eq @ X2 @ X6 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl21]) ).
thf(zip_derived_cl23,plain,
! [X2: frac,X4: frac,X6: frac] :
( ~ ( eq @ X4 @ X6 )
| ( eq @ X2 @ X6 )
| ~ ( eq @ X2 @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl22]) ).
thf(zip_derived_cl32,plain,
! [X0: frac] :
( ~ ( eq @ X0 @ x )
| ( eq @ X0 @ ( pf @ y @ w ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl23]) ).
thf(satz63e,axiom,
! [Xx: frac,Xy: frac,Xz: frac] :
( ( eq @ ( pf @ Xz @ Xx ) @ ( pf @ Xz @ Xy ) )
=> ( eq @ Xx @ Xy ) ) ).
thf(zip_derived_cl2,plain,
( !!
@ ^ [Y0: frac] :
( !!
@ ^ [Y1: frac] :
( !!
@ ^ [Y2: frac] :
( ( eq @ ( pf @ Y2 @ Y0 ) @ ( pf @ Y2 @ Y1 ) )
=> ( eq @ Y0 @ Y1 ) ) ) ) ),
inference(cnf,[status(esa)],[satz63e]) ).
thf(zip_derived_cl15,plain,
! [X2: frac] :
( !!
@ ^ [Y0: frac] :
( !!
@ ^ [Y1: frac] :
( ( eq @ ( pf @ Y1 @ X2 ) @ ( pf @ Y1 @ Y0 ) )
=> ( eq @ X2 @ Y0 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl16,plain,
! [X2: frac,X4: frac] :
( !!
@ ^ [Y0: frac] :
( ( eq @ ( pf @ Y0 @ X2 ) @ ( pf @ Y0 @ X4 ) )
=> ( eq @ X2 @ X4 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl17,plain,
! [X2: frac,X4: frac,X6: frac] :
( ( eq @ ( pf @ X6 @ X2 ) @ ( pf @ X6 @ X4 ) )
=> ( eq @ X2 @ X4 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl18,plain,
! [X2: frac,X4: frac,X6: frac] :
( ~ ( eq @ ( pf @ X6 @ X2 ) @ ( pf @ X6 @ X4 ) )
| ( eq @ X2 @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl52,plain,
! [X0: frac] :
( ~ ( eq @ ( pf @ y @ X0 ) @ x )
| ( eq @ X0 @ w ) ),
inference('sup-',[status(thm)],[zip_derived_cl32,zip_derived_cl18]) ).
thf(e,axiom,
eq @ ( pf @ y @ v ) @ x ).
thf(zip_derived_cl0,plain,
eq @ ( pf @ y @ v ) @ x,
inference(cnf,[status(esa)],[e]) ).
thf(zip_derived_cl77,plain,
eq @ v @ w,
inference('sup+',[status(thm)],[zip_derived_cl52,zip_derived_cl0]) ).
thf(zip_derived_cl88,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl5,zip_derived_cl77]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : NUM767^1 : TPTP v9.2.0. Released v3.7.0.
% 0.03/0.12 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ty2V09d5Vb true
% 0.13/0.33 % Computer : n027.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Wed Oct 1 16:18:53 EDT 2025
% 0.13/0.33 % CPUTime :
% 0.13/0.33 % Running portfolio for 300 s
% 0.13/0.33 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.33 % Number of cores: 8
% 0.13/0.33 % Python version: Python 3.6.8
% 0.13/0.33 % Running in HO mode
% 0.53/0.65 % Total configuration time : 828
% 0.53/0.65 % Estimated wc time : 1656
% 0.53/0.65 % Estimated cpu time (8 cpus) : 207.0
% 0.53/0.75 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.53/0.75 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.53/0.75 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.54/0.76 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.54/0.79 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.54/0.79 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.54/0.79 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.54/0.79 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.54/0.82 % Solved by lams/35_full_unif4.sh.
% 0.54/0.82 % done 34 iterations in 0.034s
% 0.54/0.82 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.54/0.82 % SZS output start Refutation
% See solution above
% 0.54/0.82
% 0.54/0.82
% 0.54/0.82 % Terminating...
% 1.82/0.89 % Runner terminated.
% 1.82/0.90 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------