%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM755^1 : TPTP v9.2.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.DrEVnT2FBM true
% Computer : n017.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 04:48:14 PM UTC 2025
% Result : Theorem 0.55s 0.73s
% Output : Refutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 6
% Syntax : Number of formulae : 40 ( 10 unt; 0 typ; 0 def)
% Number of atoms : 138 ( 0 equ; 26 cnn)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 419 ( 49 ~; 10 |; 0 &; 298 @)
% ( 0 <=>; 44 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 8 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 7 usr; 6 con; 0-2 aty)
% ( 18 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 72 ( 18 ^; 54 !; 0 ?; 72 :)
% Comments :
%------------------------------------------------------------------------------
thf(frac_type,type,
frac: $tType ).
thf(moref_type,type,
moref: frac > frac > $o ).
thf(lessf_type,type,
lessf: frac > frac > $o ).
thf(y_type,type,
y: frac ).
thf(eq_type,type,
eq: frac > frac > $o ).
thf(pf_type,type,
pf: frac > frac > frac ).
thf(z_type,type,
z: frac ).
thf(x_type,type,
x: frac ).
thf(satz41b,axiom,
! [Xx: frac,Xy: frac] :
~ ( ( ( eq @ Xx @ Xy )
=> ~ ( moref @ Xx @ Xy ) )
=> ( ( ( moref @ Xx @ Xy )
=> ~ ( lessf @ Xx @ Xy ) )
=> ~ ( ( lessf @ Xx @ Xy )
=> ~ ( eq @ Xx @ Xy ) ) ) ) ).
thf(zip_derived_cl2,plain,
( !!
@ ^ [Y0: frac] :
( !!
@ ^ [Y1: frac] :
( (~)
@ ( ( ( eq @ Y0 @ Y1 )
=> ( (~) @ ( moref @ Y0 @ Y1 ) ) )
=> ( ( ( moref @ Y0 @ Y1 )
=> ( (~) @ ( lessf @ Y0 @ Y1 ) ) )
=> ( (~)
@ ( ( lessf @ Y0 @ Y1 )
=> ( (~) @ ( eq @ Y0 @ Y1 ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[satz41b]) ).
thf(zip_derived_cl20,plain,
! [X2: frac] :
( !!
@ ^ [Y0: frac] :
( (~)
@ ( ( ( eq @ X2 @ Y0 )
=> ( (~) @ ( moref @ X2 @ Y0 ) ) )
=> ( ( ( moref @ X2 @ Y0 )
=> ( (~) @ ( lessf @ X2 @ Y0 ) ) )
=> ( (~)
@ ( ( lessf @ X2 @ Y0 )
=> ( (~) @ ( eq @ X2 @ Y0 ) ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl21,plain,
! [X2: frac,X4: frac] :
~ ( ( ( eq @ X2 @ X4 )
=> ( (~) @ ( moref @ X2 @ X4 ) ) )
=> ( ( ( moref @ X2 @ X4 )
=> ( (~) @ ( lessf @ X2 @ X4 ) ) )
=> ( (~)
@ ( ( lessf @ X2 @ X4 )
=> ( (~) @ ( eq @ X2 @ X4 ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl22,plain,
! [X2: frac,X4: frac] :
( ( eq @ X2 @ X4 )
=> ( (~) @ ( moref @ X2 @ X4 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl21]) ).
thf(zip_derived_cl24,plain,
! [X2: frac,X4: frac] :
( ~ ( eq @ X2 @ X4 )
| ~ ( moref @ X2 @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl22]) ).
thf(satz62b,axiom,
! [Xx: frac,Xy: frac,Xz: frac] :
( ( eq @ Xx @ Xy )
=> ( eq @ ( pf @ Xx @ Xz ) @ ( pf @ Xy @ Xz ) ) ) ).
thf(zip_derived_cl3,plain,
( !!
@ ^ [Y0: frac] :
( !!
@ ^ [Y1: frac] :
( !!
@ ^ [Y2: frac] :
( ( eq @ Y0 @ Y1 )
=> ( eq @ ( pf @ Y0 @ Y2 ) @ ( pf @ Y1 @ Y2 ) ) ) ) ) ),
inference(cnf,[status(esa)],[satz62b]) ).
thf(zip_derived_cl8,plain,
! [X2: frac] :
( !!
@ ^ [Y0: frac] :
( !!
@ ^ [Y1: frac] :
( ( eq @ X2 @ Y0 )
=> ( eq @ ( pf @ X2 @ Y1 ) @ ( pf @ Y0 @ Y1 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl9,plain,
! [X2: frac,X4: frac] :
( !!
@ ^ [Y0: frac] :
( ( eq @ X2 @ X4 )
=> ( eq @ ( pf @ X2 @ Y0 ) @ ( pf @ X4 @ Y0 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl10,plain,
! [X2: frac,X4: frac,X6: frac] :
( ( eq @ X2 @ X4 )
=> ( eq @ ( pf @ X2 @ X6 ) @ ( pf @ X4 @ X6 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl11,plain,
! [X2: frac,X4: frac,X6: frac] :
( ~ ( eq @ X2 @ X4 )
| ( eq @ ( pf @ X2 @ X6 ) @ ( pf @ X4 @ X6 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl29,plain,
! [X0: frac,X1: frac,X2: frac] :
( ~ ( moref @ ( pf @ X2 @ X0 ) @ ( pf @ X1 @ X0 ) )
| ~ ( eq @ X2 @ X1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl24,zip_derived_cl11]) ).
thf(m,axiom,
moref @ ( pf @ x @ z ) @ ( pf @ y @ z ) ).
thf(zip_derived_cl0,plain,
moref @ ( pf @ x @ z ) @ ( pf @ y @ z ),
inference(cnf,[status(esa)],[m]) ).
thf(zip_derived_cl49,plain,
~ ( eq @ x @ y ),
inference('sup+',[status(thm)],[zip_derived_cl29,zip_derived_cl0]) ).
thf(satz41a,axiom,
! [Xx: frac,Xy: frac] :
( ~ ( eq @ Xx @ Xy )
=> ( ~ ( moref @ Xx @ Xy )
=> ( lessf @ Xx @ Xy ) ) ) ).
thf(zip_derived_cl5,plain,
( !!
@ ^ [Y0: frac] :
( !!
@ ^ [Y1: frac] :
( ( (~) @ ( eq @ Y0 @ Y1 ) )
=> ( ( (~) @ ( moref @ Y0 @ Y1 ) )
=> ( lessf @ Y0 @ Y1 ) ) ) ) ),
inference(cnf,[status(esa)],[satz41a]) ).
thf(zip_derived_cl16,plain,
! [X2: frac] :
( !!
@ ^ [Y0: frac] :
( ( (~) @ ( eq @ X2 @ Y0 ) )
=> ( ( (~) @ ( moref @ X2 @ Y0 ) )
=> ( lessf @ X2 @ Y0 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl17,plain,
! [X2: frac,X4: frac] :
( ( (~) @ ( eq @ X2 @ X4 ) )
=> ( ( (~) @ ( moref @ X2 @ X4 ) )
=> ( lessf @ X2 @ X4 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl18,plain,
! [X2: frac,X4: frac] :
( ( eq @ X2 @ X4 )
| ( ( (~) @ ( moref @ X2 @ X4 ) )
=> ( lessf @ X2 @ X4 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl19,plain,
! [X2: frac,X4: frac] :
( ( moref @ X2 @ X4 )
| ( lessf @ X2 @ X4 )
| ( eq @ X2 @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl23,plain,
! [X2: frac,X4: frac] :
~ ( ( ( moref @ X2 @ X4 )
=> ( (~) @ ( lessf @ X2 @ X4 ) ) )
=> ( (~)
@ ( ( lessf @ X2 @ X4 )
=> ( (~) @ ( eq @ X2 @ X4 ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl21]) ).
thf(zip_derived_cl25,plain,
! [X2: frac,X4: frac] :
( ( moref @ X2 @ X4 )
=> ( (~) @ ( lessf @ X2 @ X4 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl23]) ).
thf(zip_derived_cl27,plain,
! [X2: frac,X4: frac] :
( ~ ( moref @ X2 @ X4 )
| ~ ( lessf @ X2 @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl25]) ).
thf(satz62c,axiom,
! [Xx: frac,Xy: frac,Xz: frac] :
( ( lessf @ Xx @ Xy )
=> ( lessf @ ( pf @ Xx @ Xz ) @ ( pf @ Xy @ Xz ) ) ) ).
thf(zip_derived_cl4,plain,
( !!
@ ^ [Y0: frac] :
( !!
@ ^ [Y1: frac] :
( !!
@ ^ [Y2: frac] :
( ( lessf @ Y0 @ Y1 )
=> ( lessf @ ( pf @ Y0 @ Y2 ) @ ( pf @ Y1 @ Y2 ) ) ) ) ) ),
inference(cnf,[status(esa)],[satz62c]) ).
thf(zip_derived_cl12,plain,
! [X2: frac] :
( !!
@ ^ [Y0: frac] :
( !!
@ ^ [Y1: frac] :
( ( lessf @ X2 @ Y0 )
=> ( lessf @ ( pf @ X2 @ Y1 ) @ ( pf @ Y0 @ Y1 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl13,plain,
! [X2: frac,X4: frac] :
( !!
@ ^ [Y0: frac] :
( ( lessf @ X2 @ X4 )
=> ( lessf @ ( pf @ X2 @ Y0 ) @ ( pf @ X4 @ Y0 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl14,plain,
! [X2: frac,X4: frac,X6: frac] :
( ( lessf @ X2 @ X4 )
=> ( lessf @ ( pf @ X2 @ X6 ) @ ( pf @ X4 @ X6 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl15,plain,
! [X2: frac,X4: frac,X6: frac] :
( ~ ( lessf @ X2 @ X4 )
| ( lessf @ ( pf @ X2 @ X6 ) @ ( pf @ X4 @ X6 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl33,plain,
! [X0: frac,X1: frac,X2: frac] :
( ~ ( moref @ ( pf @ X2 @ X0 ) @ ( pf @ X1 @ X0 ) )
| ~ ( lessf @ X2 @ X1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl27,zip_derived_cl15]) ).
thf(zip_derived_cl0_001,plain,
moref @ ( pf @ x @ z ) @ ( pf @ y @ z ),
inference(cnf,[status(esa)],[m]) ).
thf(zip_derived_cl53,plain,
~ ( lessf @ x @ y ),
inference('sup+',[status(thm)],[zip_derived_cl33,zip_derived_cl0]) ).
thf(zip_derived_cl58,plain,
( ( eq @ x @ y )
| ( moref @ x @ y ) ),
inference('sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl53]) ).
thf(satz63a,conjecture,
moref @ x @ y ).
thf(zf_stmt_0,negated_conjecture,
~ ( moref @ x @ y ),
inference('cnf.neg',[status(esa)],[satz63a]) ).
thf(zip_derived_cl6,plain,
~ ( moref @ x @ y ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl61,plain,
eq @ x @ y,
inference(demod,[status(thm)],[zip_derived_cl58,zip_derived_cl6]) ).
thf(zip_derived_cl65,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl49,zip_derived_cl61]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM755^1 : TPTP v9.2.0. Released v3.7.0.
% 0.11/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.DrEVnT2FBM true
% 0.12/0.34 % Computer : n017.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Oct 1 16:34:23 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Running portfolio for 300 s
% 0.12/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34 % Number of cores: 8
% 0.12/0.34 % Python version: Python 3.6.8
% 0.12/0.35 % Running in HO mode
% 0.55/0.63 % Total configuration time : 828
% 0.55/0.63 % Estimated wc time : 1656
% 0.55/0.63 % Estimated cpu time (8 cpus) : 207.0
% 0.55/0.69 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.55/0.69 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.55/0.73 % Solved by lams/35_full_unif4.sh.
% 0.55/0.73 % done 19 iterations in 0.019s
% 0.55/0.73 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.55/0.73 % SZS output start Refutation
% See solution above
% 0.55/0.73
% 0.55/0.73
% 0.55/0.73 % Terminating...
% 0.55/0.76 % Runner terminated.
% 0.55/0.77 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------