%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL877^2 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.IlMLVfDL2l true
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Sep 7 01:37:31 PM UTC 2026
% Result : Theorem 62.62s 9.29s
% Output : Refutation 62.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 16
% Syntax : Number of formulae : 26 ( 22 unt; 0 typ; 0 def)
% Number of atoms : 71 ( 21 equ; 4 cnn)
% Maximal formula atoms : 13 ( 2 avg)
% Number of connectives : 185 ( 20 ~; 18 |; 6 &; 122 @)
% ( 4 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 57 ( 57 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 7 usr; 3 con; 0-3 aty)
% ( 9 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 89 ( 52 ^; 37 !; 0 ?; 89 :)
% Comments :
%------------------------------------------------------------------------------
thf(meuclidean_type,type,
meuclidean: ( $i > $i > $o ) > $o ).
thf(mbox_type,type,
mbox: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
thf(mnot_type,type,
mnot: ( $i > $o ) > $i > $o ).
thf(mimplies_type,type,
mimplies: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(mor_type,type,
mor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(mforall_prop_type,type,
mforall_prop: ( ( $i > $o ) > $i > $o ) > $i > $o ).
thf(mvalid_type,type,
mvalid: ( $i > $o ) > $o ).
thf(mvalid,axiom,
( mvalid
= ( ^ [Phi: $i > $o] :
! [W: $i] : ( Phi @ W ) ) ) ).
thf('0',plain,
( mvalid
= ( ^ [Phi: $i > $o] :
! [W: $i] : ( Phi @ W ) ) ),
inference(simplify_rw_rule,[status(thm)],[mvalid]) ).
thf('1',plain,
( mvalid
= ( ^ [V_1: $i > $o] :
! [X4: $i] : ( V_1 @ X4 ) ) ),
define([status(thm)]) ).
thf(meuclidean,axiom,
( meuclidean
= ( ^ [R: $i > $i > $o] :
! [S: $i,T: $i,U: $i] :
( ( ( R @ S @ T )
& ( R @ S @ U ) )
=> ( R @ T @ U ) ) ) ) ).
thf('2',plain,
( meuclidean
= ( ^ [R: $i > $i > $o] :
! [S: $i,T: $i,U: $i] :
( ( ( R @ S @ T )
& ( R @ S @ U ) )
=> ( R @ T @ U ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[meuclidean]) ).
thf('3',plain,
( meuclidean
= ( ^ [V_1: $i > $i > $o] :
! [X4: $i,X6: $i,X8: $i] :
( ( ( V_1 @ X4 @ X6 )
& ( V_1 @ X4 @ X8 ) )
=> ( V_1 @ X6 @ X8 ) ) ) ),
define([status(thm)]) ).
thf(mbox,axiom,
( mbox
= ( ^ [R: $i > $i > $o,Phi: $i > $o,W: $i] :
! [V: $i] :
( ( Phi @ V )
| ~ ( R @ W @ V ) ) ) ) ).
thf('4',plain,
( mbox
= ( ^ [R: $i > $i > $o,Phi: $i > $o,W: $i] :
! [V: $i] :
( ( Phi @ V )
| ~ ( R @ W @ V ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mbox]) ).
thf('5',plain,
( mbox
= ( ^ [V_1: $i > $i > $o,V_2: $i > $o,V_3: $i] :
! [X4: $i] :
( ( V_2 @ X4 )
| ~ ( V_1 @ V_3 @ X4 ) ) ) ),
define([status(thm)]) ).
thf(mforall_prop,axiom,
( mforall_prop
= ( ^ [Phi: ( $i > $o ) > $i > $o,W: $i] :
! [P: $i > $o] : ( Phi @ P @ W ) ) ) ).
thf('6',plain,
( mforall_prop
= ( ^ [Phi: ( $i > $o ) > $i > $o,W: $i] :
! [P: $i > $o] : ( Phi @ P @ W ) ) ),
inference(simplify_rw_rule,[status(thm)],[mforall_prop]) ).
thf('7',plain,
( mforall_prop
= ( ^ [V_1: ( $i > $o ) > $i > $o,V_2: $i] :
! [X4: $i > $o] : ( V_1 @ X4 @ V_2 ) ) ),
define([status(thm)]) ).
thf(mimplies,axiom,
( mimplies
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mor @ ( mnot @ Phi ) @ Psi ) ) ) ).
thf(mor,axiom,
( mor
= ( ^ [Phi: $i > $o,Psi: $i > $o,W: $i] :
( ( Phi @ W )
| ( Psi @ W ) ) ) ) ).
thf('8',plain,
( mor
= ( ^ [Phi: $i > $o,Psi: $i > $o,W: $i] :
( ( Phi @ W )
| ( Psi @ W ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mor]) ).
thf('9',plain,
( mor
= ( ^ [V_1: $i > $o,V_2: $i > $o,V_3: $i] :
( ( V_1 @ V_3 )
| ( V_2 @ V_3 ) ) ) ),
define([status(thm)]) ).
thf(mnot,axiom,
( mnot
= ( ^ [Phi: $i > $o,W: $i] :
~ ( Phi @ W ) ) ) ).
thf('10',plain,
( mnot
= ( ^ [Phi: $i > $o,W: $i] :
~ ( Phi @ W ) ) ),
inference(simplify_rw_rule,[status(thm)],[mnot]) ).
thf('11',plain,
( mnot
= ( ^ [V_1: $i > $o,V_2: $i] :
~ ( V_1 @ V_2 ) ) ),
define([status(thm)]) ).
thf('12',plain,
( mimplies
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mor @ ( mnot @ Phi ) @ Psi ) ) ),
inference(simplify_rw_rule,[status(thm)],[mimplies,'9','11']) ).
thf('13',plain,
( mimplies
= ( ^ [V_1: $i > $o,V_2: $i > $o] : ( mor @ ( mnot @ V_1 ) @ V_2 ) ) ),
define([status(thm)]) ).
thf(conj,conjecture,
! [R: $i > $i > $o] :
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mnot @ ( mbox @ R @ Phi ) ) @ ( mbox @ R @ ( mnot @ ( mbox @ R @ Phi ) ) ) ) ) )
<=> ( meuclidean @ R ) ) ).
thf(zf_stmt_0,conjecture,
! [X4: $i > $i > $o] :
( ! [X6: $i,X8: $i > $o] :
( ! [X12: $i] :
( ~ ( X4 @ X6 @ X12 )
| ~ ! [X14: $i] :
( ~ ( X4 @ X12 @ X14 )
| ( X8 @ X14 ) ) )
| ! [X10: $i] :
( ~ ( X4 @ X6 @ X10 )
| ( X8 @ X10 ) ) )
<=> ! [X16: $i,X18: $i,X20: $i] :
( ( ( X4 @ X16 @ X20 )
& ( X4 @ X16 @ X18 ) )
=> ( X4 @ X18 @ X20 ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: $i > $i > $o] :
( ! [X6: $i,X8: $i > $o] :
( ! [X12: $i] :
( ~ ( X4 @ X6 @ X12 )
| ~ ! [X14: $i] :
( ~ ( X4 @ X12 @ X14 )
| ( X8 @ X14 ) ) )
| ! [X10: $i] :
( ~ ( X4 @ X6 @ X10 )
| ( X8 @ X10 ) ) )
<=> ! [X16: $i,X18: $i,X20: $i] :
( ( ( X4 @ X16 @ X20 )
& ( X4 @ X16 @ X18 ) )
=> ( X4 @ X18 @ X20 ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
~ ( !!
@ ^ [Y0: $i > $i > $o] :
( ( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i > $o] :
( ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( Y0 @ Y1 @ Y3 ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( Y0 @ Y3 @ Y4 ) )
| ( Y2 @ Y4 ) ) ) ) ) )
| ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( Y0 @ Y1 @ Y3 ) )
| ( Y2 @ Y3 ) ) ) ) ) )
<=> ( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i] :
( ( ( Y0 @ Y1 @ Y3 )
& ( Y0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y2 @ Y3 ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl2197,plain,
$false,
inference(eprover,[status(thm)],[zip_derived_cl0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL877^2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.IlMLVfDL2l true
% 0.11/0.36 % Computer : n013.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Fri Sep 4 20:17:50 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 % Running portfolio for 300 s
% 0.11/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.37 % Number of cores: 8
% 0.11/0.37 % Python version: Python 3.12.3
% 0.11/0.37 % Running in HO mode
% 0.45/0.66 % Total configuration time : 828
% 0.45/0.66 % Estimated wc time : 1656
% 0.45/0.66 % Estimated cpu time (8 cpus) : 207.0
% 0.47/0.72 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.47/0.78 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.47/0.78 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.47/0.79 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.47/0.79 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.47/0.79 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.47/0.79 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.49/0.80 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.49/0.87 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 62.62/9.29 % Solved by lams/15_e_short1.sh.
% 62.62/9.29 % done 163 iterations in 8.473s
% 62.62/9.29 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 62.62/9.29 % SZS output start Refutation
% See solution above
% 62.62/9.30
% 62.62/9.30
% 62.62/9.30 % Terminating...
% 31.50/9.35 % Runner terminated.
% 31.50/9.37 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------