%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET576^7 : TPTP v9.2.0. Released v5.5.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.GJ64ux9LqE true
% Computer : n031.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 04:52:16 PM UTC 2025
% Result : Theorem 0.57s 0.80s
% Output : Refutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 22
% Syntax : Number of formulae : 56 ( 38 unt; 0 typ; 0 def)
% Number of atoms : 197 ( 24 equ; 0 cnn)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 470 ( 59 ~; 46 |; 0 &; 350 @)
% ( 0 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 5 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 42 ( 42 >; 0 *; 0 +; 0 <<)
% Number of symbols : 18 ( 16 usr; 4 con; 0-3 aty)
% Number of variables : 94 ( 56 ^; 38 !; 0 ?; 94 :)
% Comments :
%------------------------------------------------------------------------------
thf(mu_type,type,
mu: $tType ).
thf(intersect_type,type,
intersect: mu > mu > $i > $o ).
thf(sk__5_type,type,
sk__5: $i ).
thf(mforall_ind_type,type,
mforall_ind: ( mu > $i > $o ) > $i > $o ).
thf(mnot_type,type,
mnot: ( $i > $o ) > $i > $o ).
thf(mor_type,type,
mor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(mexists_ind_type,type,
mexists_ind: ( mu > $i > $o ) > $i > $o ).
thf(sk__4_type,type,
sk__4: mu > mu > $i > mu ).
thf(sk__6_type,type,
sk__6: mu ).
thf(mimplies_type,type,
mimplies: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(member_type,type,
member: mu > mu > $i > $o ).
thf(sk__7_type,type,
sk__7: mu ).
thf(exists_in_world_type,type,
exists_in_world: mu > $i > $o ).
thf(mequiv_type,type,
mequiv: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(mand_type,type,
mand: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(disjoint_type,type,
disjoint: mu > mu > $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(mexists_ind,axiom,
( mexists_ind
= ( ^ [Phi: mu > $i > $o] :
( mnot
@ ( mforall_ind
@ ^ [X: mu] : ( mnot @ ( Phi @ X ) ) ) ) ) ) ).
thf(mforall_ind,axiom,
( mforall_ind
= ( ^ [Phi: mu > $i > $o,W: $i] :
! [X: mu] :
( ( exists_in_world @ X @ W )
=> ( Phi @ X @ W ) ) ) ) ).
thf('2',plain,
( mforall_ind
= ( ^ [Phi: mu > $i > $o,W: $i] :
! [X: mu] :
( ( exists_in_world @ X @ W )
=> ( Phi @ X @ W ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mforall_ind]) ).
thf('3',plain,
( mforall_ind
= ( ^ [V_1: mu > $i > $o,V_2: $i] :
! [X4: mu] :
( ( exists_in_world @ X4 @ V_2 )
=> ( V_1 @ X4 @ V_2 ) ) ) ),
define([status(thm)]) ).
thf(mnot,axiom,
( mnot
= ( ^ [Phi: $i > $o,W: $i] :
~ ( Phi @ W ) ) ) ).
thf('4',plain,
( mnot
= ( ^ [Phi: $i > $o,W: $i] :
~ ( Phi @ W ) ) ),
inference(simplify_rw_rule,[status(thm)],[mnot]) ).
thf('5',plain,
( mnot
= ( ^ [V_1: $i > $o,V_2: $i] :
~ ( V_1 @ V_2 ) ) ),
define([status(thm)]) ).
thf('6',plain,
( mexists_ind
= ( ^ [Phi: mu > $i > $o] :
( mnot
@ ( mforall_ind
@ ^ [X: mu] : ( mnot @ ( Phi @ X ) ) ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mexists_ind,'3','5']) ).
thf('7',plain,
( mexists_ind
= ( ^ [V_1: mu > $i > $o] :
( mnot
@ ( mforall_ind
@ ^ [V_2: mu] : ( mnot @ ( V_1 @ V_2 ) ) ) ) ) ),
define([status(thm)]) ).
thf(mequiv,axiom,
( mequiv
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mand @ ( mimplies @ Phi @ Psi ) @ ( mimplies @ Psi @ Phi ) ) ) ) ).
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('10',plain,
( mimplies
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mor @ ( mnot @ Phi ) @ Psi ) ) ),
inference(simplify_rw_rule,[status(thm)],[mimplies,'9','5']) ).
thf('11',plain,
( mimplies
= ( ^ [V_1: $i > $o,V_2: $i > $o] : ( mor @ ( mnot @ V_1 ) @ V_2 ) ) ),
define([status(thm)]) ).
thf(mand,axiom,
( mand
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mnot @ ( mor @ ( mnot @ Phi ) @ ( mnot @ Psi ) ) ) ) ) ).
thf('12',plain,
( mand
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mnot @ ( mor @ ( mnot @ Phi ) @ ( mnot @ Psi ) ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mand,'9','5']) ).
thf('13',plain,
( mand
= ( ^ [V_1: $i > $o,V_2: $i > $o] : ( mnot @ ( mor @ ( mnot @ V_1 ) @ ( mnot @ V_2 ) ) ) ) ),
define([status(thm)]) ).
thf('14',plain,
( mequiv
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mand @ ( mimplies @ Phi @ Psi ) @ ( mimplies @ Psi @ Phi ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mequiv,'11','13','9','5']) ).
thf('15',plain,
( mequiv
= ( ^ [V_1: $i > $o,V_2: $i > $o] : ( mand @ ( mimplies @ V_1 @ V_2 ) @ ( mimplies @ V_2 @ V_1 ) ) ) ),
define([status(thm)]) ).
thf(intersect_defn,axiom,
( mvalid
@ ( mforall_ind
@ ^ [B: mu] :
( mforall_ind
@ ^ [C: mu] :
( mequiv @ ( intersect @ B @ C )
@ ( mexists_ind
@ ^ [D: mu] : ( mand @ ( member @ D @ B ) @ ( member @ D @ C ) ) ) ) ) ) ) ).
thf(zf_stmt_0,axiom,
! [X4: $i,X6: mu] :
( ( exists_in_world @ X6 @ X4 )
=> ! [X8: mu] :
( ( exists_in_world @ X8 @ X4 )
=> ~ ( ~ ( ~ ( intersect @ X6 @ X8 @ X4 )
| ~ ! [X10: mu] :
( ( exists_in_world @ X10 @ X4 )
=> ( ~ ( member @ X10 @ X6 @ X4 )
| ~ ( member @ X10 @ X8 @ X4 ) ) ) )
| ~ ( ! [X12: mu] :
( ( exists_in_world @ X12 @ X4 )
=> ( ~ ( member @ X12 @ X6 @ X4 )
| ~ ( member @ X12 @ X8 @ X4 ) ) )
| ( intersect @ X6 @ X8 @ X4 ) ) ) ) ) ).
thf(zip_derived_cl7,plain,
! [X0: mu,X1: $i,X2: mu] :
( ~ ( exists_in_world @ X0 @ X1 )
| ( exists_in_world @ ( sk__4 @ X0 @ X2 @ X1 ) @ X1 )
| ~ ( intersect @ X2 @ X0 @ X1 )
| ~ ( exists_in_world @ X2 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6,plain,
! [X0: mu,X1: $i,X2: mu] :
( ~ ( exists_in_world @ X0 @ X1 )
| ( member @ ( sk__4 @ X0 @ X2 @ X1 ) @ X2 @ X1 )
| ~ ( intersect @ X2 @ X0 @ X1 )
| ~ ( exists_in_world @ X2 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5,plain,
! [X0: mu,X1: $i,X2: mu] :
( ~ ( exists_in_world @ X0 @ X1 )
| ( member @ ( sk__4 @ X0 @ X2 @ X1 ) @ X0 @ X1 )
| ~ ( intersect @ X2 @ X0 @ X1 )
| ~ ( exists_in_world @ X2 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(prove_th17,conjecture,
( mvalid
@ ( mforall_ind
@ ^ [B: mu] :
( mforall_ind
@ ^ [C: mu] :
( mimplies
@ ( mforall_ind
@ ^ [D: mu] : ( mimplies @ ( member @ D @ B ) @ ( mnot @ ( member @ D @ C ) ) ) )
@ ( disjoint @ B @ C ) ) ) ) ) ).
thf(zf_stmt_1,conjecture,
! [X4: $i,X6: mu] :
( ( exists_in_world @ X6 @ X4 )
=> ! [X8: mu] :
( ( exists_in_world @ X8 @ X4 )
=> ( ~ ! [X10: mu] :
( ( exists_in_world @ X10 @ X4 )
=> ( ~ ( member @ X10 @ X6 @ X4 )
| ~ ( member @ X10 @ X8 @ X4 ) ) )
| ( disjoint @ X6 @ X8 @ X4 ) ) ) ) ).
thf(zf_stmt_2,negated_conjecture,
~ ! [X4: $i,X6: mu] :
( ( exists_in_world @ X6 @ X4 )
=> ! [X8: mu] :
( ( exists_in_world @ X8 @ X4 )
=> ( ~ ! [X10: mu] :
( ( exists_in_world @ X10 @ X4 )
=> ( ~ ( member @ X10 @ X6 @ X4 )
| ~ ( member @ X10 @ X8 @ X4 ) ) )
| ( disjoint @ X6 @ X8 @ X4 ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl13,plain,
! [X0: mu] :
( ~ ( member @ X0 @ sk__7 @ sk__5 )
| ~ ( member @ X0 @ sk__6 @ sk__5 )
| ~ ( exists_in_world @ X0 @ sk__5 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl60,plain,
! [X0: mu] :
( ~ ( exists_in_world @ X0 @ sk__5 )
| ~ ( intersect @ X0 @ sk__7 @ sk__5 )
| ~ ( exists_in_world @ sk__7 @ sk__5 )
| ~ ( exists_in_world @ ( sk__4 @ sk__7 @ X0 @ sk__5 ) @ sk__5 )
| ~ ( member @ ( sk__4 @ sk__7 @ X0 @ sk__5 ) @ sk__6 @ sk__5 ) ),
inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl13]) ).
thf(zip_derived_cl14,plain,
exists_in_world @ sk__7 @ sk__5,
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl64,plain,
! [X0: mu] :
( ~ ( exists_in_world @ X0 @ sk__5 )
| ~ ( intersect @ X0 @ sk__7 @ sk__5 )
| ~ ( exists_in_world @ ( sk__4 @ sk__7 @ X0 @ sk__5 ) @ sk__5 )
| ~ ( member @ ( sk__4 @ sk__7 @ X0 @ sk__5 ) @ sk__6 @ sk__5 ) ),
inference(demod,[status(thm)],[zip_derived_cl60,zip_derived_cl14]) ).
thf(zip_derived_cl311,plain,
( ~ ( exists_in_world @ sk__6 @ sk__5 )
| ~ ( intersect @ sk__6 @ sk__7 @ sk__5 )
| ~ ( exists_in_world @ sk__7 @ sk__5 )
| ~ ( exists_in_world @ ( sk__4 @ sk__7 @ sk__6 @ sk__5 ) @ sk__5 )
| ~ ( intersect @ sk__6 @ sk__7 @ sk__5 )
| ~ ( exists_in_world @ sk__6 @ sk__5 ) ),
inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl64]) ).
thf(zip_derived_cl11,plain,
exists_in_world @ sk__6 @ sk__5,
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl11_001,plain,
exists_in_world @ sk__6 @ sk__5,
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl14_002,plain,
exists_in_world @ sk__7 @ sk__5,
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(disjoint_defn,axiom,
( mvalid
@ ( mforall_ind
@ ^ [B: mu] :
( mforall_ind
@ ^ [C: mu] : ( mequiv @ ( disjoint @ B @ C ) @ ( mnot @ ( intersect @ B @ C ) ) ) ) ) ) ).
thf(zf_stmt_3,axiom,
! [X4: $i,X6: mu] :
( ( exists_in_world @ X6 @ X4 )
=> ! [X8: mu] :
( ( exists_in_world @ X8 @ X4 )
=> ~ ( ~ ( ~ ( disjoint @ X6 @ X8 @ X4 )
| ~ ( intersect @ X6 @ X8 @ X4 ) )
| ~ ( ( intersect @ X6 @ X8 @ X4 )
| ( disjoint @ X6 @ X8 @ X4 ) ) ) ) ) ).
thf(zip_derived_cl8,plain,
! [X0: mu,X1: $i,X2: mu] :
( ~ ( exists_in_world @ X0 @ X1 )
| ( disjoint @ X2 @ X0 @ X1 )
| ( intersect @ X2 @ X0 @ X1 )
| ~ ( exists_in_world @ X2 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl29,plain,
! [X0: mu] :
( ~ ( exists_in_world @ X0 @ sk__5 )
| ( intersect @ X0 @ sk__7 @ sk__5 )
| ( disjoint @ X0 @ sk__7 @ sk__5 ) ),
inference('sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl8]) ).
thf(zip_derived_cl38,plain,
( ( disjoint @ sk__6 @ sk__7 @ sk__5 )
| ( intersect @ sk__6 @ sk__7 @ sk__5 ) ),
inference('sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl29]) ).
thf(zip_derived_cl12,plain,
~ ( disjoint @ sk__6 @ sk__7 @ sk__5 ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl45,plain,
intersect @ sk__6 @ sk__7 @ sk__5,
inference(clc,[status(thm)],[zip_derived_cl38,zip_derived_cl12]) ).
thf(zip_derived_cl14_003,plain,
exists_in_world @ sk__7 @ sk__5,
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl45_004,plain,
intersect @ sk__6 @ sk__7 @ sk__5,
inference(clc,[status(thm)],[zip_derived_cl38,zip_derived_cl12]) ).
thf(zip_derived_cl11_005,plain,
exists_in_world @ sk__6 @ sk__5,
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl313,plain,
~ ( exists_in_world @ ( sk__4 @ sk__7 @ sk__6 @ sk__5 ) @ sk__5 ),
inference(demod,[status(thm)],[zip_derived_cl311,zip_derived_cl11,zip_derived_cl45,zip_derived_cl14,zip_derived_cl45,zip_derived_cl11]) ).
thf(zip_derived_cl315,plain,
( ~ ( exists_in_world @ sk__6 @ sk__5 )
| ~ ( intersect @ sk__6 @ sk__7 @ sk__5 )
| ~ ( exists_in_world @ sk__7 @ sk__5 ) ),
inference('sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl313]) ).
thf(zip_derived_cl11_006,plain,
exists_in_world @ sk__6 @ sk__5,
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl45_007,plain,
intersect @ sk__6 @ sk__7 @ sk__5,
inference(clc,[status(thm)],[zip_derived_cl38,zip_derived_cl12]) ).
thf(zip_derived_cl14_008,plain,
exists_in_world @ sk__7 @ sk__5,
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl317,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl315,zip_derived_cl11,zip_derived_cl45,zip_derived_cl14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET576^7 : TPTP v9.2.0. Released v5.5.0.
% 0.03/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.GJ64ux9LqE true
% 0.13/0.34 % Computer : n031.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Oct 1 13:14:53 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in HO mode
% 0.55/0.67 % Total configuration time : 828
% 0.55/0.67 % Estimated wc time : 1656
% 0.55/0.67 % Estimated cpu time (8 cpus) : 207.0
% 0.55/0.70 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.55/0.72 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.56/0.73 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.57/0.80 % Solved by lams/40_c.s.sh.
% 0.57/0.80 % done 104 iterations in 0.072s
% 0.57/0.80 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.57/0.80 % SZS output start Refutation
% See solution above
% 0.57/0.80
% 0.57/0.80
% 0.57/0.80 % Terminating...
% 0.60/0.86 % Runner terminated.
% 1.89/0.87 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------