%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM686^1 : 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.4kLKXJoOzD true
% Computer : n004.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 04:47:59 PM UTC 2025
% Result : Theorem 1.13s 1.20s
% Output : Refutation 1.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of formulae : 38 ( 5 unt; 0 typ; 0 def)
% Number of atoms : 140 ( 6 equ; 0 cnn)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 353 ( 9 ~; 6 |; 0 &; 298 @)
% ( 0 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 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; 0-3 aty)
% ( 21 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 82 ( 38 ^; 44 !; 0 ?; 82 :)
% Comments :
%------------------------------------------------------------------------------
thf(nat_type,type,
nat: $tType ).
thf(u_type,type,
u: nat ).
thf(y_type,type,
y: nat ).
thf(diffprop_type,type,
diffprop: nat > nat > nat > $o ).
thf(pl_type,type,
pl: nat > nat > nat ).
thf(some_type,type,
some: ( nat > $o ) > $o ).
thf(z_type,type,
z: nat ).
thf(x_type,type,
x: nat ).
thf(satz6,axiom,
! [Xx: nat,Xy: nat] :
( ( pl @ Xx @ Xy )
= ( pl @ Xy @ Xx ) ) ).
thf(zip_derived_cl4,plain,
( !!
@ ^ [Y0: nat] :
( !!
@ ^ [Y1: nat] :
( ( pl @ Y0 @ Y1 )
= ( pl @ Y1 @ Y0 ) ) ) ),
inference(cnf,[status(esa)],[satz6]) ).
thf(zip_derived_cl37,plain,
! [X2: nat] :
( !!
@ ^ [Y0: nat] :
( ( pl @ X2 @ Y0 )
= ( pl @ Y0 @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl38,plain,
! [X2: nat,X4: nat] :
( ( pl @ X2 @ X4 )
= ( pl @ X4 @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl37]) ).
thf(zip_derived_cl39,plain,
! [X2: nat,X4: nat] :
( ( pl @ X2 @ X4 )
= ( pl @ X4 @ X2 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl38]) ).
thf(n,axiom,
( some
@ ^ [Xu_0: nat] : ( diffprop @ z @ u @ Xu_0 ) ) ).
thf(zip_derived_cl1,plain,
( some
@ ^ [Y0: nat] : ( diffprop @ z @ u @ Y0 ) ),
inference(cnf,[status(esa)],[n]) ).
thf(zip_derived_cl32,plain,
some @ ( diffprop @ z @ u ),
inference(ho_norm,[status(thm)],[zip_derived_cl1]) ).
thf(satz19a,axiom,
! [Xx: nat,Xy: nat,Xz: nat] :
( ( some
@ ^ [Xu: nat] : ( diffprop @ Xx @ Xy @ Xu ) )
=> ( some
@ ^ [Xu: nat] : ( diffprop @ ( pl @ Xx @ Xz ) @ ( pl @ Xy @ Xz ) @ Xu ) ) ) ).
thf(zip_derived_cl3,plain,
( !!
@ ^ [Y0: nat] :
( !!
@ ^ [Y1: nat] :
( !!
@ ^ [Y2: nat] :
( ( some
@ ^ [Y3: nat] : ( diffprop @ Y0 @ Y1 @ Y3 ) )
=> ( some
@ ^ [Y3: nat] : ( diffprop @ ( pl @ Y0 @ Y2 ) @ ( pl @ Y1 @ Y2 ) @ Y3 ) ) ) ) ) ),
inference(cnf,[status(esa)],[satz19a]) ).
thf(zip_derived_cl44,plain,
( !!
@ ^ [Y0: nat] :
( !!
@ ^ [Y1: nat] :
( !!
@ ^ [Y2: nat] :
( ( some @ ( diffprop @ Y0 @ Y1 ) )
=> ( some @ ( diffprop @ ( pl @ Y0 @ Y2 ) @ ( pl @ Y1 @ Y2 ) ) ) ) ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl45,plain,
! [X2: nat] :
( !!
@ ^ [Y0: nat] :
( !!
@ ^ [Y1: nat] :
( ( some @ ( diffprop @ X2 @ Y0 ) )
=> ( some @ ( diffprop @ ( pl @ X2 @ Y1 ) @ ( pl @ Y0 @ Y1 ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl44]) ).
thf(zip_derived_cl46,plain,
! [X2: nat,X4: nat] :
( !!
@ ^ [Y0: nat] :
( ( some @ ( diffprop @ X2 @ X4 ) )
=> ( some @ ( diffprop @ ( pl @ X2 @ Y0 ) @ ( pl @ X4 @ Y0 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl45]) ).
thf(zip_derived_cl47,plain,
! [X2: nat,X4: nat,X6: nat] :
( ( some @ ( diffprop @ X2 @ X4 ) )
=> ( some @ ( diffprop @ ( pl @ X2 @ X6 ) @ ( pl @ X4 @ X6 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl46]) ).
thf(zip_derived_cl48,plain,
! [X2: nat,X4: nat,X6: nat] :
( ~ ( some @ ( diffprop @ X2 @ X4 ) )
| ( some @ ( diffprop @ ( pl @ X2 @ X6 ) @ ( pl @ X4 @ X6 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl47]) ).
thf(zip_derived_cl49,plain,
! [X0: nat] : ( some @ ( diffprop @ ( pl @ z @ X0 ) @ ( pl @ u @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl32,zip_derived_cl48]) ).
thf(zip_derived_cl58,plain,
! [X0: nat] : ( some @ ( diffprop @ ( pl @ X0 @ z ) @ ( pl @ u @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl39,zip_derived_cl49]) ).
thf(m,axiom,
( some
@ ^ [Xu: nat] : ( diffprop @ x @ y @ Xu ) ) ).
thf(zip_derived_cl0,plain,
( some
@ ^ [Y0: nat] : ( diffprop @ x @ y @ Y0 ) ),
inference(cnf,[status(esa)],[m]) ).
thf(zip_derived_cl27,plain,
some @ ( diffprop @ x @ y ),
inference(ho_norm,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl48_001,plain,
! [X2: nat,X4: nat,X6: nat] :
( ~ ( some @ ( diffprop @ X2 @ X4 ) )
| ( some @ ( diffprop @ ( pl @ X2 @ X6 ) @ ( pl @ X4 @ X6 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl47]) ).
thf(zip_derived_cl50,plain,
! [X0: nat] : ( some @ ( diffprop @ ( pl @ x @ X0 ) @ ( pl @ y @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl27,zip_derived_cl48]) ).
thf(satz15,axiom,
! [Xx: nat,Xy: nat,Xz: nat] :
( ( some
@ ^ [Xv: nat] : ( diffprop @ Xy @ Xx @ Xv ) )
=> ( ( some
@ ^ [Xv: nat] : ( diffprop @ Xz @ Xy @ Xv ) )
=> ( some
@ ^ [Xv: nat] : ( diffprop @ Xz @ Xx @ Xv ) ) ) ) ).
thf(zip_derived_cl2,plain,
( !!
@ ^ [Y0: nat] :
( !!
@ ^ [Y1: nat] :
( !!
@ ^ [Y2: nat] :
( ( some
@ ^ [Y3: nat] : ( diffprop @ Y1 @ Y0 @ Y3 ) )
=> ( ( some
@ ^ [Y3: nat] : ( diffprop @ Y2 @ Y1 @ Y3 ) )
=> ( some
@ ^ [Y3: nat] : ( diffprop @ Y2 @ Y0 @ Y3 ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[satz15]) ).
thf(zip_derived_cl85,plain,
( !!
@ ^ [Y0: nat] :
( !!
@ ^ [Y1: nat] :
( !!
@ ^ [Y2: nat] :
( ( some @ ( diffprop @ Y1 @ Y0 ) )
=> ( ( some @ ( diffprop @ Y2 @ Y1 ) )
=> ( some @ ( diffprop @ Y2 @ Y0 ) ) ) ) ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl86,plain,
! [X2: nat] :
( !!
@ ^ [Y0: nat] :
( !!
@ ^ [Y1: nat] :
( ( some @ ( diffprop @ Y0 @ X2 ) )
=> ( ( some @ ( diffprop @ Y1 @ Y0 ) )
=> ( some @ ( diffprop @ Y1 @ X2 ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl85]) ).
thf(zip_derived_cl87,plain,
! [X2: nat,X4: nat] :
( !!
@ ^ [Y0: nat] :
( ( some @ ( diffprop @ X4 @ X2 ) )
=> ( ( some @ ( diffprop @ Y0 @ X4 ) )
=> ( some @ ( diffprop @ Y0 @ X2 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl86]) ).
thf(zip_derived_cl88,plain,
! [X2: nat,X4: nat,X6: nat] :
( ( some @ ( diffprop @ X4 @ X2 ) )
=> ( ( some @ ( diffprop @ X6 @ X4 ) )
=> ( some @ ( diffprop @ X6 @ X2 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl87]) ).
thf(zip_derived_cl89,plain,
! [X2: nat,X4: nat,X6: nat] :
( ~ ( some @ ( diffprop @ X4 @ X2 ) )
| ( ( some @ ( diffprop @ X6 @ X4 ) )
=> ( some @ ( diffprop @ X6 @ X2 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl88]) ).
thf(zip_derived_cl90,plain,
! [X2: nat,X4: nat,X6: nat] :
( ~ ( some @ ( diffprop @ X6 @ X4 ) )
| ( some @ ( diffprop @ X6 @ X2 ) )
| ~ ( some @ ( diffprop @ X4 @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl89]) ).
thf(zip_derived_cl91,plain,
! [X0: nat,X1: nat] :
( ~ ( some @ ( diffprop @ ( pl @ y @ X0 ) @ X1 ) )
| ( some @ ( diffprop @ ( pl @ x @ X0 ) @ X1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl50,zip_derived_cl90]) ).
thf(zip_derived_cl149,plain,
some @ ( diffprop @ ( pl @ x @ z ) @ ( pl @ u @ y ) ),
inference('sup-',[status(thm)],[zip_derived_cl58,zip_derived_cl91]) ).
thf(zip_derived_cl39_002,plain,
! [X2: nat,X4: nat] :
( ( pl @ X2 @ X4 )
= ( pl @ X4 @ X2 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl38]) ).
thf(satz21,conjecture,
( some
@ ^ [Xu_0: nat] : ( diffprop @ ( pl @ x @ z ) @ ( pl @ y @ u ) @ Xu_0 ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( some
@ ^ [Xu_0: nat] : ( diffprop @ ( pl @ x @ z ) @ ( pl @ y @ u ) @ Xu_0 ) ),
inference('cnf.neg',[status(esa)],[satz21]) ).
thf(zip_derived_cl5,plain,
~ ( some
@ ^ [Y0: nat] : ( diffprop @ ( pl @ x @ z ) @ ( pl @ y @ u ) @ Y0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl8,plain,
~ ( some @ ( diffprop @ ( pl @ x @ z ) @ ( pl @ y @ u ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl155,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl149,zip_derived_cl39,zip_derived_cl8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.28 % Problem : NUM686^1 : TPTP v9.2.0. Released v3.7.0.
% 0.08/0.35 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.4kLKXJoOzD true
% 0.08/0.57 % Computer : n004.cluster.edu
% 0.08/0.57 % Model : x86_64 x86_64
% 0.08/0.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.57 % Memory : 8042.1875MB
% 0.08/0.57 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.57 % CPULimit : 300
% 0.08/0.57 % WCLimit : 300
% 0.08/0.57 % DateTime : Wed Oct 1 16:23:53 EDT 2025
% 0.12/0.58 % CPUTime :
% 0.12/0.58 % Running portfolio for 300 s
% 0.12/0.58 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.59 % Number of cores: 8
% 0.12/0.59 % Python version: Python 3.6.8
% 0.12/0.59 % Running in HO mode
% 0.13/0.83 % Total configuration time : 828
% 0.13/0.83 % Estimated wc time : 1656
% 0.13/0.83 % Estimated cpu time (8 cpus) : 207.0
% 0.13/1.03 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.13/1.03 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.13/1.03 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.13/1.05 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.13/1.07 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.13/1.08 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.13/1.08 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.13/1.10 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 1.13/1.20 % Solved by lams/15_e_short1.sh.
% 1.13/1.20 % done 19 iterations in 0.104s
% 1.13/1.20 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.13/1.20 % SZS output start Refutation
% See solution above
% 1.13/1.20
% 1.13/1.20
% 1.13/1.20 % Terminating...
% 1.31/1.34 % Runner terminated.
% 1.31/1.34 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------