TSTP Solution File: SYN367^7 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYN367^7 : TPTP v8.1.2. Released v5.5.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.RsrS0wWNDg true
% Computer : n024.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 : Fri Sep 1 04:03:02 EDT 2023
% Result : Theorem 6.72s 1.46s
% Output : Refutation 6.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 50
% Syntax : Number of formulae : 148 ( 64 unt; 24 typ; 0 def)
% Number of atoms : 366 ( 27 equ; 0 cnn)
% Maximal formula atoms : 27 ( 2 avg)
% Number of connectives : 982 ( 161 ~; 159 |; 5 &; 643 @)
% ( 0 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 5 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 89 ( 89 >; 0 *; 0 +; 0 <<)
% Number of symbols : 25 ( 23 usr; 8 con; 0-3 aty)
% Number of variables : 213 ( 51 ^; 161 !; 1 ?; 213 :)
% Comments :
%------------------------------------------------------------------------------
thf(mu_type,type,
mu: $tType ).
thf(sk__14_type,type,
sk__14: $i ).
thf(p_type,type,
p: $i > $o ).
thf(sk__12_type,type,
sk__12: mu ).
thf(rel_s4_type,type,
rel_s4: $i > $i > $o ).
thf(mreflexive_type,type,
mreflexive: ( $i > $i > $o ) > $o ).
thf(mforall_ind_type,type,
mforall_ind: ( mu > $i > $o ) > $i > $o ).
thf(sk__16_type,type,
sk__16: $i ).
thf(mnot_type,type,
mnot: ( $i > $o ) > $i > $o ).
thf(mor_type,type,
mor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(sk__13_type,type,
sk__13: $i ).
thf(sk__type,type,
sk_: $i > mu ).
thf(sk__9_type,type,
sk__9: $i ).
thf(sk__15_type,type,
sk__15: mu ).
thf(sk__10_type,type,
sk__10: $i > $i ).
thf(mimplies_type,type,
mimplies: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(big_q_type,type,
big_q: mu > $i > $o ).
thf(mtransitive_type,type,
mtransitive: ( $i > $i > $o ) > $o ).
thf(mbox_s4_type,type,
mbox_s4: ( $i > $o ) > $i > $o ).
thf(exists_in_world_type,type,
exists_in_world: mu > $i > $o ).
thf(sk__11_type,type,
sk__11: $i ).
thf(mand_type,type,
mand: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(big_r_type,type,
big_r: mu > $i > $o ).
thf(mvalid_type,type,
mvalid: ( $i > $o ) > $o ).
thf(mbox_s4,axiom,
( mbox_s4
= ( ^ [Phi: $i > $o,W: $i] :
! [V: $i] :
( ( Phi @ V )
| ~ ( rel_s4 @ W @ V ) ) ) ) ).
thf('0',plain,
( mbox_s4
= ( ^ [Phi: $i > $o,W: $i] :
! [V: $i] :
( ( Phi @ V )
| ~ ( rel_s4 @ W @ V ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mbox_s4]) ).
thf('1',plain,
( mbox_s4
= ( ^ [V_1: $i > $o,V_2: $i] :
! [X4: $i] :
( ( V_1 @ X4 )
| ~ ( rel_s4 @ V_2 @ X4 ) ) ) ),
define([status(thm)]) ).
thf(mvalid,axiom,
( mvalid
= ( ^ [Phi: $i > $o] :
! [W: $i] : ( Phi @ W ) ) ) ).
thf('2',plain,
( mvalid
= ( ^ [Phi: $i > $o] :
! [W: $i] : ( Phi @ W ) ) ),
inference(simplify_rw_rule,[status(thm)],[mvalid]) ).
thf('3',plain,
( mvalid
= ( ^ [V_1: $i > $o] :
! [X4: $i] : ( V_1 @ X4 ) ) ),
define([status(thm)]) ).
thf(mforall_ind,axiom,
( mforall_ind
= ( ^ [Phi: mu > $i > $o,W: $i] :
! [X: mu] :
( ( exists_in_world @ X @ W )
=> ( Phi @ X @ W ) ) ) ) ).
thf('4',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('5',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(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('6',plain,
( mor
= ( ^ [Phi: $i > $o,Psi: $i > $o,W: $i] :
( ( Phi @ W )
| ( Psi @ W ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mor]) ).
thf('7',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('8',plain,
( mnot
= ( ^ [Phi: $i > $o,W: $i] :
~ ( Phi @ W ) ) ),
inference(simplify_rw_rule,[status(thm)],[mnot]) ).
thf('9',plain,
( mnot
= ( ^ [V_1: $i > $o,V_2: $i] :
~ ( V_1 @ V_2 ) ) ),
define([status(thm)]) ).
thf('10',plain,
( mimplies
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mor @ ( mnot @ Phi ) @ Psi ) ) ),
inference(simplify_rw_rule,[status(thm)],[mimplies,'7','9']) ).
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,'7','9']) ).
thf('13',plain,
( mand
= ( ^ [V_1: $i > $o,V_2: $i > $o] : ( mnot @ ( mor @ ( mnot @ V_1 ) @ ( mnot @ V_2 ) ) ) ) ),
define([status(thm)]) ).
thf(x2118,conjecture,
( mvalid
@ ( mbox_s4
@ ( mimplies
@ ( mbox_s4
@ ( mforall_ind
@ ^ [X: mu] : ( mor @ ( mand @ ( mbox_s4 @ p ) @ ( mbox_s4 @ ( big_q @ X ) ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ p ) ) ) @ ( mbox_s4 @ ( big_r @ X ) ) ) ) ) )
@ ( mor
@ ( mbox_s4
@ ( mforall_ind
@ ^ [X: mu] : ( mbox_s4 @ ( big_q @ X ) ) ) )
@ ( mbox_s4
@ ( mforall_ind
@ ^ [X: mu] : ( mbox_s4 @ ( big_r @ X ) ) ) ) ) ) ) ) ).
thf(zf_stmt_0,conjecture,
! [X4: $i,X6: $i] :
( ~ ! [X8: $i] :
( ! [X10: mu] :
( ( exists_in_world @ X10 @ X8 )
=> ( ~ ( ~ ! [X12: $i] :
( ( p @ X12 )
| ~ ( rel_s4 @ X8 @ X12 ) )
| ~ ! [X14: $i] :
( ( big_q @ X10 @ X14 )
| ~ ( rel_s4 @ X8 @ X14 ) ) )
| ~ ( ~ ! [X16: $i] :
( ~ ! [X18: $i] :
( ( p @ X18 )
| ~ ( rel_s4 @ X16 @ X18 ) )
| ~ ( rel_s4 @ X8 @ X16 ) )
| ~ ! [X20: $i] :
( ( big_r @ X10 @ X20 )
| ~ ( rel_s4 @ X8 @ X20 ) ) ) ) )
| ~ ( rel_s4 @ X6 @ X8 ) )
| ! [X22: $i] :
( ! [X24: mu] :
( ( exists_in_world @ X24 @ X22 )
=> ! [X26: $i] :
( ( big_q @ X24 @ X26 )
| ~ ( rel_s4 @ X22 @ X26 ) ) )
| ~ ( rel_s4 @ X6 @ X22 ) )
| ! [X28: $i] :
( ! [X30: mu] :
( ( exists_in_world @ X30 @ X28 )
=> ! [X32: $i] :
( ( big_r @ X30 @ X32 )
| ~ ( rel_s4 @ X28 @ X32 ) ) )
| ~ ( rel_s4 @ X6 @ X28 ) )
| ~ ( rel_s4 @ X4 @ X6 ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: $i,X6: $i] :
( ~ ! [X8: $i] :
( ! [X10: mu] :
( ( exists_in_world @ X10 @ X8 )
=> ( ~ ( ~ ! [X12: $i] :
( ( p @ X12 )
| ~ ( rel_s4 @ X8 @ X12 ) )
| ~ ! [X14: $i] :
( ( big_q @ X10 @ X14 )
| ~ ( rel_s4 @ X8 @ X14 ) ) )
| ~ ( ~ ! [X16: $i] :
( ~ ! [X18: $i] :
( ( p @ X18 )
| ~ ( rel_s4 @ X16 @ X18 ) )
| ~ ( rel_s4 @ X8 @ X16 ) )
| ~ ! [X20: $i] :
( ( big_r @ X10 @ X20 )
| ~ ( rel_s4 @ X8 @ X20 ) ) ) ) )
| ~ ( rel_s4 @ X6 @ X8 ) )
| ! [X22: $i] :
( ! [X24: mu] :
( ( exists_in_world @ X24 @ X22 )
=> ! [X26: $i] :
( ( big_q @ X24 @ X26 )
| ~ ( rel_s4 @ X22 @ X26 ) ) )
| ~ ( rel_s4 @ X6 @ X22 ) )
| ! [X28: $i] :
( ! [X30: mu] :
( ( exists_in_world @ X30 @ X28 )
=> ! [X32: $i] :
( ( big_r @ X30 @ X32 )
| ~ ( rel_s4 @ X28 @ X32 ) ) )
| ~ ( rel_s4 @ X6 @ X28 ) )
| ~ ( rel_s4 @ X4 @ X6 ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl8,plain,
rel_s4 @ sk__9 @ sk__14,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl11,plain,
rel_s4 @ sk__11 @ sk__13,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl9,plain,
exists_in_world @ sk__12 @ sk__11,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(cumulative_ax,axiom,
! [X: mu,V: $i,W: $i] :
( ( ( exists_in_world @ X @ V )
& ( rel_s4 @ V @ W ) )
=> ( exists_in_world @ X @ W ) ) ).
thf(zip_derived_cl3,plain,
! [X0: mu,X1: $i,X2: $i] :
( ~ ( exists_in_world @ X0 @ X1 )
| ~ ( rel_s4 @ X1 @ X2 )
| ( exists_in_world @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[cumulative_ax]) ).
thf(zip_derived_cl38,plain,
! [X0: $i] :
( ( exists_in_world @ sk__12 @ X0 )
| ~ ( rel_s4 @ sk__11 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl3]) ).
thf(zip_derived_cl13,plain,
! [X0: mu,X1: $i,X2: $i,X3: $i] :
( ~ ( exists_in_world @ X0 @ X1 )
| ~ ( rel_s4 @ X1 @ X2 )
| ( big_q @ X0 @ X2 )
| ~ ( rel_s4 @ X1 @ X3 )
| ( rel_s4 @ X3 @ ( sk__10 @ X3 ) )
| ~ ( rel_s4 @ sk__9 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl71,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( rel_s4 @ sk__11 @ X0 )
| ~ ( rel_s4 @ sk__9 @ X0 )
| ( rel_s4 @ X1 @ ( sk__10 @ X1 ) )
| ~ ( rel_s4 @ X0 @ X1 )
| ( big_q @ sk__12 @ X2 )
| ~ ( rel_s4 @ X0 @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl38,zip_derived_cl13]) ).
thf(zip_derived_cl12,plain,
rel_s4 @ sk__9 @ sk__11,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(mtransitive,axiom,
( mtransitive
= ( ^ [R: $i > $i > $o] :
! [S: $i,T: $i,U: $i] :
( ( ( R @ S @ T )
& ( R @ T @ U ) )
=> ( R @ S @ U ) ) ) ) ).
thf('14',plain,
( mtransitive
= ( ^ [R: $i > $i > $o] :
! [S: $i,T: $i,U: $i] :
( ( ( R @ S @ T )
& ( R @ T @ U ) )
=> ( R @ S @ U ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mtransitive]) ).
thf('15',plain,
( mtransitive
= ( ^ [V_1: $i > $i > $o] :
! [X4: $i,X6: $i,X8: $i] :
( ( ( V_1 @ X4 @ X6 )
& ( V_1 @ X6 @ X8 ) )
=> ( V_1 @ X4 @ X8 ) ) ) ),
define([status(thm)]) ).
thf(a2,axiom,
mtransitive @ rel_s4 ).
thf(zf_stmt_2,axiom,
! [X4: $i,X6: $i,X8: $i] :
( ( ( rel_s4 @ X4 @ X6 )
& ( rel_s4 @ X6 @ X8 ) )
=> ( rel_s4 @ X4 @ X8 ) ) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( rel_s4 @ X0 @ X1 )
| ~ ( rel_s4 @ X1 @ X2 )
| ( rel_s4 @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl22,plain,
! [X0: $i] :
( ( rel_s4 @ sk__9 @ X0 )
| ~ ( rel_s4 @ sk__11 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl2]) ).
thf(zip_derived_cl439,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( rel_s4 @ X0 @ X2 )
| ( big_q @ sk__12 @ X2 )
| ~ ( rel_s4 @ X0 @ X1 )
| ( rel_s4 @ X1 @ ( sk__10 @ X1 ) )
| ~ ( rel_s4 @ sk__11 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl71,zip_derived_cl22]) ).
thf(zip_derived_cl441,plain,
! [X0: $i] :
( ~ ( rel_s4 @ sk__11 @ sk__11 )
| ( rel_s4 @ X0 @ ( sk__10 @ X0 ) )
| ~ ( rel_s4 @ sk__11 @ X0 )
| ( big_q @ sk__12 @ sk__13 ) ),
inference('sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl439]) ).
thf(mreflexive,axiom,
( mreflexive
= ( ^ [R: $i > $i > $o] :
! [S: $i] : ( R @ S @ S ) ) ) ).
thf('16',plain,
( mreflexive
= ( ^ [R: $i > $i > $o] :
! [S: $i] : ( R @ S @ S ) ) ),
inference(simplify_rw_rule,[status(thm)],[mreflexive]) ).
thf('17',plain,
( mreflexive
= ( ^ [V_1: $i > $i > $o] :
! [X4: $i] : ( V_1 @ X4 @ X4 ) ) ),
define([status(thm)]) ).
thf(a1,axiom,
mreflexive @ rel_s4 ).
thf(zf_stmt_3,axiom,
! [X4: $i] : ( rel_s4 @ X4 @ X4 ) ).
thf(zip_derived_cl1,plain,
! [X0: $i] : ( rel_s4 @ X0 @ X0 ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl470,plain,
! [X0: $i] :
( ( rel_s4 @ X0 @ ( sk__10 @ X0 ) )
| ~ ( rel_s4 @ sk__11 @ X0 )
| ( big_q @ sk__12 @ sk__13 ) ),
inference(demod,[status(thm)],[zip_derived_cl441,zip_derived_cl1]) ).
thf(zip_derived_cl10,plain,
~ ( big_q @ sk__12 @ sk__13 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl531,plain,
! [X0: $i] :
( ~ ( rel_s4 @ sk__11 @ X0 )
| ( rel_s4 @ X0 @ ( sk__10 @ X0 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl470,zip_derived_cl10]) ).
thf(zip_derived_cl22_001,plain,
! [X0: $i] :
( ( rel_s4 @ sk__9 @ X0 )
| ~ ( rel_s4 @ sk__11 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl2]) ).
thf(zip_derived_cl11_002,plain,
rel_s4 @ sk__11 @ sk__13,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl84,plain,
rel_s4 @ sk__9 @ sk__13,
inference('sup+',[status(thm)],[zip_derived_cl22,zip_derived_cl11]) ).
thf(zip_derived_cl2_003,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( rel_s4 @ X0 @ X1 )
| ~ ( rel_s4 @ X1 @ X2 )
| ( rel_s4 @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl92,plain,
! [X0: $i] :
( ( rel_s4 @ sk__9 @ X0 )
| ~ ( rel_s4 @ sk__13 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl84,zip_derived_cl2]) ).
thf(zip_derived_cl531_004,plain,
! [X0: $i] :
( ~ ( rel_s4 @ sk__11 @ X0 )
| ( rel_s4 @ X0 @ ( sk__10 @ X0 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl470,zip_derived_cl10]) ).
thf(zip_derived_cl561,plain,
( ( rel_s4 @ sk__9 @ ( sk__10 @ sk__13 ) )
| ~ ( rel_s4 @ sk__11 @ sk__13 ) ),
inference('sup+',[status(thm)],[zip_derived_cl92,zip_derived_cl531]) ).
thf(zip_derived_cl11_005,plain,
rel_s4 @ sk__11 @ sk__13,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl596,plain,
rel_s4 @ sk__9 @ ( sk__10 @ sk__13 ),
inference(demod,[status(thm)],[zip_derived_cl561,zip_derived_cl11]) ).
thf(zip_derived_cl2_006,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( rel_s4 @ X0 @ X1 )
| ~ ( rel_s4 @ X1 @ X2 )
| ( rel_s4 @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl626,plain,
! [X0: $i] :
( ( rel_s4 @ sk__9 @ X0 )
| ~ ( rel_s4 @ ( sk__10 @ sk__13 ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl596,zip_derived_cl2]) ).
thf(zip_derived_cl1277,plain,
( ~ ( rel_s4 @ sk__11 @ ( sk__10 @ sk__13 ) )
| ( rel_s4 @ sk__9 @ ( sk__10 @ ( sk__10 @ sk__13 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl531,zip_derived_cl626]) ).
thf(zip_derived_cl11_007,plain,
rel_s4 @ sk__11 @ sk__13,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl2_008,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( rel_s4 @ X0 @ X1 )
| ~ ( rel_s4 @ X1 @ X2 )
| ( rel_s4 @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl20,plain,
! [X0: $i] :
( ( rel_s4 @ sk__11 @ X0 )
| ~ ( rel_s4 @ sk__13 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl2]) ).
thf(zip_derived_cl531_009,plain,
! [X0: $i] :
( ~ ( rel_s4 @ sk__11 @ X0 )
| ( rel_s4 @ X0 @ ( sk__10 @ X0 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl470,zip_derived_cl10]) ).
thf(zip_derived_cl562,plain,
( ( rel_s4 @ sk__11 @ ( sk__10 @ sk__13 ) )
| ~ ( rel_s4 @ sk__11 @ sk__13 ) ),
inference('sup+',[status(thm)],[zip_derived_cl20,zip_derived_cl531]) ).
thf(zip_derived_cl11_010,plain,
rel_s4 @ sk__11 @ sk__13,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl597,plain,
rel_s4 @ sk__11 @ ( sk__10 @ sk__13 ),
inference(demod,[status(thm)],[zip_derived_cl562,zip_derived_cl11]) ).
thf(zip_derived_cl1283,plain,
rel_s4 @ sk__9 @ ( sk__10 @ ( sk__10 @ sk__13 ) ),
inference(demod,[status(thm)],[zip_derived_cl1277,zip_derived_cl597]) ).
thf(zip_derived_cl1_011,plain,
! [X0: $i] : ( rel_s4 @ X0 @ X0 ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(nonempty_ax,axiom,
! [V: $i] :
? [X: mu] : ( exists_in_world @ X @ V ) ).
thf(zip_derived_cl0,plain,
! [X0: $i] : ( exists_in_world @ ( sk_ @ X0 ) @ X0 ),
inference(cnf,[status(esa)],[nonempty_ax]) ).
thf(zip_derived_cl17,plain,
! [X0: mu,X1: $i,X3: $i,X5: $i] :
( ~ ( exists_in_world @ X0 @ X1 )
| ~ ( rel_s4 @ X1 @ X5 )
| ( p @ X5 )
| ~ ( rel_s4 @ X1 @ X3 )
| ~ ( p @ ( sk__10 @ X3 ) )
| ~ ( rel_s4 @ sk__9 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl213,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( rel_s4 @ sk__9 @ X0 )
| ~ ( p @ ( sk__10 @ X1 ) )
| ~ ( rel_s4 @ X0 @ X1 )
| ( p @ X2 )
| ~ ( rel_s4 @ X0 @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl17]) ).
thf(zip_derived_cl477,plain,
! [X0: $i,X1: $i] :
( ~ ( rel_s4 @ sk__9 @ X0 )
| ( p @ X0 )
| ~ ( rel_s4 @ sk__9 @ X1 )
| ~ ( p @ ( sk__10 @ X1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl213]) ).
thf(zip_derived_cl1307,plain,
! [X0: $i] :
( ~ ( p @ ( sk__10 @ X0 ) )
| ~ ( rel_s4 @ sk__9 @ X0 )
| ( p @ ( sk__10 @ ( sk__10 @ sk__13 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1283,zip_derived_cl477]) ).
thf(zip_derived_cl597_012,plain,
rel_s4 @ sk__11 @ ( sk__10 @ sk__13 ),
inference(demod,[status(thm)],[zip_derived_cl562,zip_derived_cl11]) ).
thf(zip_derived_cl11_013,plain,
rel_s4 @ sk__11 @ sk__13,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl38_014,plain,
! [X0: $i] :
( ( exists_in_world @ sk__12 @ X0 )
| ~ ( rel_s4 @ sk__11 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl3]) ).
thf(zip_derived_cl14,plain,
! [X0: mu,X1: $i,X2: $i,X3: $i] :
( ~ ( exists_in_world @ X0 @ X1 )
| ~ ( rel_s4 @ X1 @ X2 )
| ( big_q @ X0 @ X2 )
| ~ ( rel_s4 @ X1 @ X3 )
| ~ ( p @ ( sk__10 @ X3 ) )
| ~ ( rel_s4 @ sk__9 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl97,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( rel_s4 @ sk__11 @ X0 )
| ~ ( rel_s4 @ sk__9 @ X0 )
| ~ ( p @ ( sk__10 @ X1 ) )
| ~ ( rel_s4 @ X0 @ X1 )
| ( big_q @ sk__12 @ X2 )
| ~ ( rel_s4 @ X0 @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl38,zip_derived_cl14]) ).
thf(zip_derived_cl22_015,plain,
! [X0: $i] :
( ( rel_s4 @ sk__9 @ X0 )
| ~ ( rel_s4 @ sk__11 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl2]) ).
thf(zip_derived_cl1140,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( rel_s4 @ X0 @ X2 )
| ( big_q @ sk__12 @ X2 )
| ~ ( rel_s4 @ X0 @ X1 )
| ~ ( p @ ( sk__10 @ X1 ) )
| ~ ( rel_s4 @ sk__11 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl97,zip_derived_cl22]) ).
thf(zip_derived_cl1144,plain,
! [X0: $i] :
( ~ ( rel_s4 @ sk__11 @ sk__11 )
| ~ ( p @ ( sk__10 @ X0 ) )
| ~ ( rel_s4 @ sk__11 @ X0 )
| ( big_q @ sk__12 @ sk__13 ) ),
inference('sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl1140]) ).
thf(zip_derived_cl1_016,plain,
! [X0: $i] : ( rel_s4 @ X0 @ X0 ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl1191,plain,
! [X0: $i] :
( ~ ( p @ ( sk__10 @ X0 ) )
| ~ ( rel_s4 @ sk__11 @ X0 )
| ( big_q @ sk__12 @ sk__13 ) ),
inference(demod,[status(thm)],[zip_derived_cl1144,zip_derived_cl1]) ).
thf(zip_derived_cl10_017,plain,
~ ( big_q @ sk__12 @ sk__13 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1288,plain,
! [X0: $i] :
( ~ ( rel_s4 @ sk__11 @ X0 )
| ~ ( p @ ( sk__10 @ X0 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl1191,zip_derived_cl10]) ).
thf(zip_derived_cl1290,plain,
~ ( p @ ( sk__10 @ ( sk__10 @ sk__13 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl597,zip_derived_cl1288]) ).
thf(zip_derived_cl1784,plain,
! [X0: $i] :
( ~ ( rel_s4 @ sk__9 @ X0 )
| ~ ( p @ ( sk__10 @ X0 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl1307,zip_derived_cl1290]) ).
thf(zip_derived_cl1786,plain,
~ ( p @ ( sk__10 @ sk__14 ) ),
inference('sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl1784]) ).
thf(zip_derived_cl7,plain,
rel_s4 @ sk__14 @ sk__16,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl5,plain,
exists_in_world @ sk__15 @ sk__14,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl18,plain,
! [X0: mu,X1: $i,X4: $i,X5: $i] :
( ~ ( exists_in_world @ X0 @ X1 )
| ~ ( rel_s4 @ X1 @ X5 )
| ( p @ X5 )
| ~ ( rel_s4 @ X1 @ X4 )
| ( big_r @ X0 @ X4 )
| ~ ( rel_s4 @ sk__9 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl234,plain,
! [X0: $i,X1: $i] :
( ~ ( rel_s4 @ sk__9 @ sk__14 )
| ( big_r @ sk__15 @ X0 )
| ~ ( rel_s4 @ sk__14 @ X0 )
| ( p @ X1 )
| ~ ( rel_s4 @ sk__14 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl18]) ).
thf(zip_derived_cl8_018,plain,
rel_s4 @ sk__9 @ sk__14,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl250,plain,
! [X0: $i,X1: $i] :
( ( big_r @ sk__15 @ X0 )
| ~ ( rel_s4 @ sk__14 @ X0 )
| ( p @ X1 )
| ~ ( rel_s4 @ sk__14 @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl234,zip_derived_cl8]) ).
thf(zip_derived_cl256,plain,
! [X0: $i] :
( ~ ( rel_s4 @ sk__14 @ X0 )
| ( p @ X0 )
| ( big_r @ sk__15 @ sk__16 ) ),
inference('sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl250]) ).
thf(zip_derived_cl6,plain,
~ ( big_r @ sk__15 @ sk__16 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl260,plain,
! [X0: $i] :
( ( p @ X0 )
| ~ ( rel_s4 @ sk__14 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl256,zip_derived_cl6]) ).
thf(zip_derived_cl22_019,plain,
! [X0: $i] :
( ( rel_s4 @ sk__9 @ X0 )
| ~ ( rel_s4 @ sk__11 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl2]) ).
thf(zip_derived_cl531_020,plain,
! [X0: $i] :
( ~ ( rel_s4 @ sk__11 @ X0 )
| ( rel_s4 @ X0 @ ( sk__10 @ X0 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl470,zip_derived_cl10]) ).
thf(zip_derived_cl563,plain,
( ( rel_s4 @ sk__9 @ ( sk__10 @ sk__11 ) )
| ~ ( rel_s4 @ sk__11 @ sk__11 ) ),
inference('sup+',[status(thm)],[zip_derived_cl22,zip_derived_cl531]) ).
thf(zip_derived_cl1_021,plain,
! [X0: $i] : ( rel_s4 @ X0 @ X0 ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl598,plain,
rel_s4 @ sk__9 @ ( sk__10 @ sk__11 ),
inference(demod,[status(thm)],[zip_derived_cl563,zip_derived_cl1]) ).
thf(zip_derived_cl0_022,plain,
! [X0: $i] : ( exists_in_world @ ( sk_ @ X0 ) @ X0 ),
inference(cnf,[status(esa)],[nonempty_ax]) ).
thf(zip_derived_cl3_023,plain,
! [X0: mu,X1: $i,X2: $i] :
( ~ ( exists_in_world @ X0 @ X1 )
| ~ ( rel_s4 @ X1 @ X2 )
| ( exists_in_world @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[cumulative_ax]) ).
thf(zip_derived_cl39,plain,
! [X0: $i,X1: $i] :
( ( exists_in_world @ ( sk_ @ X0 ) @ X1 )
| ~ ( rel_s4 @ X0 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl3]) ).
thf(zip_derived_cl16,plain,
! [X0: mu,X1: $i,X3: $i,X5: $i] :
( ~ ( exists_in_world @ X0 @ X1 )
| ~ ( rel_s4 @ X1 @ X5 )
| ( p @ X5 )
| ~ ( rel_s4 @ X1 @ X3 )
| ( rel_s4 @ X3 @ ( sk__10 @ X3 ) )
| ~ ( rel_s4 @ sk__9 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl173,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( rel_s4 @ X1 @ X0 )
| ~ ( rel_s4 @ sk__9 @ X0 )
| ( rel_s4 @ X2 @ ( sk__10 @ X2 ) )
| ~ ( rel_s4 @ X0 @ X2 )
| ( p @ X3 )
| ~ ( rel_s4 @ X0 @ X3 ) ),
inference('sup-',[status(thm)],[zip_derived_cl39,zip_derived_cl16]) ).
thf(zip_derived_cl3408,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( rel_s4 @ X1 @ X0 )
| ~ ( rel_s4 @ sk__9 @ X1 )
| ( rel_s4 @ X2 @ ( sk__10 @ X2 ) )
| ~ ( rel_s4 @ X1 @ X2 )
| ( p @ X0 ) ),
inference(condensation,[status(thm)],[zip_derived_cl173]) ).
thf(zip_derived_cl3421,plain,
! [X0: $i] :
( ( p @ ( sk__10 @ sk__11 ) )
| ~ ( rel_s4 @ sk__9 @ X0 )
| ( rel_s4 @ X0 @ ( sk__10 @ X0 ) )
| ~ ( rel_s4 @ sk__9 @ sk__9 ) ),
inference('sup-',[status(thm)],[zip_derived_cl598,zip_derived_cl3408]) ).
thf(zip_derived_cl1_024,plain,
! [X0: $i] : ( rel_s4 @ X0 @ X0 ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl3485,plain,
! [X0: $i] :
( ( p @ ( sk__10 @ sk__11 ) )
| ~ ( rel_s4 @ sk__9 @ X0 )
| ( rel_s4 @ X0 @ ( sk__10 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3421,zip_derived_cl1]) ).
thf(zip_derived_cl1_025,plain,
! [X0: $i] : ( rel_s4 @ X0 @ X0 ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl1288_026,plain,
! [X0: $i] :
( ~ ( rel_s4 @ sk__11 @ X0 )
| ~ ( p @ ( sk__10 @ X0 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl1191,zip_derived_cl10]) ).
thf(zip_derived_cl1292,plain,
~ ( p @ ( sk__10 @ sk__11 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl1288]) ).
thf(zip_derived_cl4041,plain,
! [X0: $i] :
( ( rel_s4 @ X0 @ ( sk__10 @ X0 ) )
| ~ ( rel_s4 @ sk__9 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl3485,zip_derived_cl1292]) ).
thf(zip_derived_cl4124,plain,
( ( p @ ( sk__10 @ sk__14 ) )
| ~ ( rel_s4 @ sk__9 @ sk__14 ) ),
inference('sup+',[status(thm)],[zip_derived_cl260,zip_derived_cl4041]) ).
thf(zip_derived_cl8_027,plain,
rel_s4 @ sk__9 @ sk__14,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl4260,plain,
p @ ( sk__10 @ sk__14 ),
inference(demod,[status(thm)],[zip_derived_cl4124,zip_derived_cl8]) ).
thf(zip_derived_cl4436,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl1786,zip_derived_cl4260]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN367^7 : TPTP v8.1.2. Released v5.5.0.
% 0.11/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.RsrS0wWNDg true
% 0.13/0.34 % Computer : n024.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 : Sat Aug 26 18:40:39 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in HO mode
% 0.56/0.67 % Total configuration time : 828
% 0.56/0.67 % Estimated wc time : 1656
% 0.56/0.67 % Estimated cpu time (8 cpus) : 207.0
% 0.56/0.73 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.56/0.73 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.56/0.73 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.56/0.74 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.56/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.59/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.59/0.77 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.59/0.77 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.61/0.79 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 0.61/0.93 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif.sh running for 56s
% 6.72/1.46 % Solved by lams/40_c.s.sh.
% 6.72/1.46 % done 940 iterations in 0.693s
% 6.72/1.46 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 6.72/1.46 % SZS output start Refutation
% See solution above
% 6.72/1.46
% 6.72/1.46
% 6.72/1.46 % Terminating...
% 7.41/1.58 % Runner terminated.
% 7.41/1.60 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------