%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU874^5 : TPTP v9.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.83fL8HPzq5 true
% Computer : n002.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 04:56:46 PM UTC 2025
% Result : Theorem 30.43s 7.11s
% Output : Refutation 30.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 13 ( 13 unt; 0 typ; 0 def)
% Number of atoms : 79 ( 19 equ; 0 cnn)
% Maximal formula atoms : 1 ( 6 avg)
% Number of connectives : 223 ( 9 ~; 9 |; 24 &; 119 @)
% ( 0 <=>; 32 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 34 ( 34 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 4 usr; 4 con; 0-3 aty)
% ( 24 !!; 6 ??; 0 @@+; 0 @@-)
% Number of variables : 66 ( 48 ^; 16 !; 2 ?; 66 :)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf('#_fresh_sk1_type',type,
'#_fresh_sk1': a ).
thf('#l_lift5613_type',type,
'#l_lift5613': a > $o ).
thf('#l_lift5612_type',type,
'#l_lift5612': a > ( a > $o ) > a > $o ).
thf(cX_type,type,
cX: a > $o ).
thf(cDOMLEMMA3_pme,conjecture,
( cX
= ( ^ [Xx: a] :
? [S: a > $o] :
( ! [X0: ( a > $o ) > $o] :
( ( ! [Xx0: a > $o] :
( ( X0 @ Xx0 )
=> ! [Xt: a] :
( ( S @ Xt )
=> ( X0
@ ^ [Xz: a] :
( ( Xt = Xz )
| ( Xx0 @ Xz ) ) ) ) )
& ( X0
@ ^ [Xy: a] : $false ) )
=> ( X0 @ S ) )
& ! [Xx0: a] :
( ( S @ Xx0 )
=> ( cX @ Xx0 ) )
& ( S @ Xx ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
( cX
!= ( ^ [Xx: a] :
? [S: a > $o] :
( ! [X0: ( a > $o ) > $o] :
( ( ! [Xx0: a > $o] :
( ( X0 @ Xx0 )
=> ! [Xt: a] :
( ( S @ Xt )
=> ( X0
@ ^ [Xz: a] :
( ( Xt = Xz )
| ( Xx0 @ Xz ) ) ) ) )
& ( X0
@ ^ [Xy: a] : $false ) )
=> ( X0 @ S ) )
& ! [Xx0: a] :
( ( S @ Xx0 )
=> ( cX @ Xx0 ) )
& ( S @ Xx ) ) ) ),
inference('cnf.neg',[status(esa)],[cDOMLEMMA3_pme]) ).
thf(zip_derived_cl0,plain,
( cX
!= ( ^ [Y0: a] :
( ??
@ ^ [Y1: a > $o] :
( ( !!
@ ^ [Y2: ( a > $o ) > $o] :
( ( ( !!
@ ^ [Y3: a > $o] :
( ( Y2 @ Y3 )
=> ( !!
@ ^ [Y4: a] :
( ( Y1 @ Y4 )
=> ( Y2
@ ^ [Y5: a] :
( ( Y4 = Y5 )
| ( Y3 @ Y5 ) ) ) ) ) ) )
& ( Y2
@ ^ [Y3: a] : $false ) )
=> ( Y2 @ Y1 ) ) )
& ( !!
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cX @ Y2 ) ) )
& ( Y1 @ Y0 ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1,plain,
( ( cX @ '#_fresh_sk1' )
!= ( ^ [Y0: a] :
( ??
@ ^ [Y1: a > $o] :
( ( !!
@ ^ [Y2: ( a > $o ) > $o] :
( ( ( !!
@ ^ [Y3: a > $o] :
( ( Y2 @ Y3 )
=> ( !!
@ ^ [Y4: a] :
( ( Y1 @ Y4 )
=> ( Y2
@ ^ [Y5: a] :
( ( Y4 = Y5 )
| ( Y3 @ Y5 ) ) ) ) ) ) )
& ( Y2
@ ^ [Y3: a] : $false ) )
=> ( Y2 @ Y1 ) ) )
& ( !!
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cX @ Y2 ) ) )
& ( Y1 @ Y0 ) ) )
@ '#_fresh_sk1' ) ),
inference(neg_ext_simpl,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl2,plain,
( ( cX @ '#_fresh_sk1' )
!= ( ??
@ ^ [Y0: a > $o] :
( ( !!
@ ^ [Y1: ( a > $o ) > $o] :
( ( ( !!
@ ^ [Y2: a > $o] :
( ( Y1 @ Y2 )
=> ( !!
@ ^ [Y3: a] :
( ( Y0 @ Y3 )
=> ( Y1
@ ^ [Y4: a] :
( ( Y3 = Y4 )
| ( Y2 @ Y4 ) ) ) ) ) ) )
& ( Y1
@ ^ [Y2: a] : $false ) )
=> ( Y1 @ Y0 ) ) )
& ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cX @ Y1 ) ) )
& ( Y0 @ '#_fresh_sk1' ) ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl2_001,plain,
( ( cX @ '#_fresh_sk1' )
!= ( ??
@ ^ [Y0: a > $o] :
( ( !!
@ ^ [Y1: ( a > $o ) > $o] :
( ( ( !!
@ ^ [Y2: a > $o] :
( ( Y1 @ Y2 )
=> ( !!
@ ^ [Y3: a] :
( ( Y0 @ Y3 )
=> ( Y1
@ ^ [Y4: a] :
( ( Y3 = Y4 )
| ( Y2 @ Y4 ) ) ) ) ) ) )
& ( Y1
@ ^ [Y2: a] : $false ) )
=> ( Y1 @ Y0 ) ) )
& ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cX @ Y1 ) ) )
& ( Y0 @ '#_fresh_sk1' ) ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl2293,plain,
! [X1: a,X2: a > $o,X3: a] :
( ( '#l_lift5612' @ X1 @ X2 @ X3 )
= ( ( X1 = X3 )
| ( X2 @ X3 ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl2_002,plain,
( ( cX @ '#_fresh_sk1' )
!= ( ??
@ ^ [Y0: a > $o] :
( ( !!
@ ^ [Y1: ( a > $o ) > $o] :
( ( ( !!
@ ^ [Y2: a > $o] :
( ( Y1 @ Y2 )
=> ( !!
@ ^ [Y3: a] :
( ( Y0 @ Y3 )
=> ( Y1
@ ^ [Y4: a] :
( ( Y3 = Y4 )
| ( Y2 @ Y4 ) ) ) ) ) ) )
& ( Y1
@ ^ [Y2: a] : $false ) )
=> ( Y1 @ Y0 ) ) )
& ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cX @ Y1 ) ) )
& ( Y0 @ '#_fresh_sk1' ) ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl2294,plain,
! [X4: a] :
~ ( '#l_lift5613' @ X4 ),
define([status(thm)]) ).
thf(zip_derived_cl2295,plain,
( ( cX @ '#_fresh_sk1' )
!= ( ??
@ ^ [Y0: a > $o] :
( ( !!
@ ^ [Y1: ( a > $o ) > $o] :
( ( ( !!
@ ^ [Y2: a > $o] :
( ( Y1 @ Y2 )
=> ( !!
@ ^ [Y3: a] :
( ( Y0 @ Y3 )
=> ( Y1 @ ( '#l_lift5612' @ Y3 @ Y2 ) ) ) ) ) )
& ( Y1 @ '#l_lift5613' ) )
=> ( Y1 @ Y0 ) ) )
& ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cX @ Y1 ) ) )
& ( Y0 @ '#_fresh_sk1' ) ) ) ),
inference(lambda_lifting,[status(thm)],[zip_derived_cl2,zip_derived_cl2293,zip_derived_cl2294]) ).
thf(zip_derived_cl2294_003,plain,
! [X4: a] :
~ ( '#l_lift5613' @ X4 ),
define([status(thm)]) ).
thf(zip_derived_cl2293_004,plain,
! [X1: a,X2: a > $o,X3: a] :
( ( '#l_lift5612' @ X1 @ X2 @ X3 )
= ( ( X1 = X3 )
| ( X2 @ X3 ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl2304,plain,
$false,
inference(eprover,[status(thm)],[zip_derived_cl2295,zip_derived_cl2294,zip_derived_cl2293]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SEU874^5 : TPTP v9.2.0. Released v4.0.0.
% 0.10/0.12 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.83fL8HPzq5 true
% 0.11/0.32 % Computer : n002.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Wed Oct 1 16:07:38 EDT 2025
% 0.11/0.32 % CPUTime :
% 0.11/0.32 % Running portfolio for 300 s
% 0.11/0.32 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.32 % Number of cores: 8
% 0.11/0.32 % Python version: Python 3.6.8
% 0.11/0.32 % Running in HO mode
% 0.16/0.59 % Total configuration time : 828
% 0.16/0.59 % Estimated wc time : 1656
% 0.16/0.59 % Estimated cpu time (8 cpus) : 207.0
% 1.02/0.74 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 1.02/0.75 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 1.02/0.76 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 1.02/0.77 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 1.02/0.77 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 1.16/0.78 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 1.16/0.78 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.16/0.78 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 30.43/7.11 % Solved by lams/20_acsne_simpl.sh.
% 30.43/7.11 % done 446 iterations in 6.170s
% 30.43/7.11 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 30.43/7.11 % SZS output start Refutation
% See solution above
% 30.43/7.11
% 30.43/7.11
% 30.43/7.11 % Terminating...
% 30.84/7.27 % Runner terminated.
% 30.84/7.30 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------