TSTP Solution File: SYO068^4.005 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYO068^4.005 : TPTP v8.1.2. Released v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.YWT2qN3c7V true
% Computer : n009.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 05:49:33 EDT 2023
% Result : Theorem 1.51s 0.85s
% Output : Refutation 1.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 74
% Syntax : Number of formulae : 127 ( 47 unt; 35 typ; 0 def)
% Number of atoms : 284 ( 21 equ; 0 cnn)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 571 ( 74 ~; 72 |; 0 &; 382 @)
% ( 0 <=>; 43 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 94 ( 94 >; 0 *; 0 +; 0 <<)
% Number of symbols : 32 ( 30 usr; 2 con; 0-3 aty)
% Number of variables : 190 ( 39 ^; 151 !; 0 ?; 190 :)
% Comments :
%------------------------------------------------------------------------------
thf(iatom_type,type,
iatom: ( $i > $o ) > $i > $o ).
thf(sk__7_type,type,
sk__7: $i > $i ).
thf(p2_type,type,
p2: $i > $o ).
thf(ivalid_type,type,
ivalid: ( $i > $o ) > $o ).
thf(sk__4_type,type,
sk__4: $i > $i ).
thf(p1_type,type,
p1: $i > $o ).
thf(irel_type,type,
irel: $i > $i > $o ).
thf(mor_type,type,
mor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(mimplies_type,type,
mimplies: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(zip_tseitin_4_type,type,
zip_tseitin_4: $i > $i > $o ).
thf(sk__9_type,type,
sk__9: $i > $i ).
thf(sk__12_type,type,
sk__12: $i ).
thf(sk__5_type,type,
sk__5: $i > $i ).
thf(zip_tseitin_1_type,type,
zip_tseitin_1: $i > $i > $o ).
thf(sk__8_type,type,
sk__8: $i > $i ).
thf(mbox_s4_type,type,
mbox_s4: ( $i > $o ) > $i > $o ).
thf(zip_tseitin_3_type,type,
zip_tseitin_3: $i > $i > $o ).
thf(p4_type,type,
p4: $i > $o ).
thf(iimplies_type,type,
iimplies: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(sk__11_type,type,
sk__11: $i > $i ).
thf(p0_type,type,
p0: $i > $o ).
thf(p5_type,type,
p5: $i > $o ).
thf(sk__2_type,type,
sk__2: $i > $i ).
thf(zip_tseitin_0_type,type,
zip_tseitin_0: $i > $i > $o ).
thf(mnot_type,type,
mnot: ( $i > $o ) > $i > $o ).
thf(zip_tseitin_2_type,type,
zip_tseitin_2: $i > $i > $o ).
thf(sk__6_type,type,
sk__6: $i > $i ).
thf(p3_type,type,
p3: $i > $o ).
thf(sk__3_type,type,
sk__3: $i > $i ).
thf(sk__10_type,type,
sk__10: $i > $i ).
thf(ivalid,axiom,
( ivalid
= ( ^ [Phi: $i > $o] :
! [W: $i] : ( Phi @ W ) ) ) ).
thf('0',plain,
( ivalid
= ( ^ [Phi: $i > $o] :
! [W: $i] : ( Phi @ W ) ) ),
inference(simplify_rw_rule,[status(thm)],[ivalid]) ).
thf('1',plain,
( ivalid
= ( ^ [V_1: $i > $o] :
! [X4: $i] : ( V_1 @ X4 ) ) ),
define([status(thm)]) ).
thf(iatom,axiom,
( iatom
= ( ^ [P: $i > $o] : P ) ) ).
thf('2',plain,
( iatom
= ( ^ [P: $i > $o] : P ) ),
inference(simplify_rw_rule,[status(thm)],[iatom]) ).
thf('3',plain,
( iatom
= ( ^ [V_1: $i > $o] : V_1 ) ),
define([status(thm)]) ).
thf(con,conjecture,
ivalid @ ( iatom @ p0 ) ).
thf(zf_stmt_0,conjecture,
! [X4: $i] : ( p0 @ X4 ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: $i] : ( p0 @ X4 ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl18,plain,
~ ( p0 @ sk__12 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(iimplies,axiom,
( iimplies
= ( ^ [P: $i > $o,Q: $i > $o] : ( mimplies @ ( mbox_s4 @ P ) @ ( mbox_s4 @ Q ) ) ) ) ).
thf(mbox_s4,axiom,
( mbox_s4
= ( ^ [P: $i > $o,X: $i] :
! [Y: $i] :
( ( irel @ X @ Y )
=> ( P @ Y ) ) ) ) ).
thf('4',plain,
( mbox_s4
= ( ^ [P: $i > $o,X: $i] :
! [Y: $i] :
( ( irel @ X @ Y )
=> ( P @ Y ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mbox_s4]) ).
thf('5',plain,
( mbox_s4
= ( ^ [V_1: $i > $o,V_2: $i] :
! [X4: $i] :
( ( irel @ V_2 @ X4 )
=> ( V_1 @ X4 ) ) ) ),
define([status(thm)]) ).
thf(mimplies,axiom,
( mimplies
= ( ^ [U: $i > $o,V: $i > $o] : ( mor @ ( mnot @ U ) @ V ) ) ) ).
thf(mor,axiom,
( mor
= ( ^ [X: $i > $o,Y: $i > $o,U: $i] :
( ( X @ U )
| ( Y @ U ) ) ) ) ).
thf('6',plain,
( mor
= ( ^ [X: $i > $o,Y: $i > $o,U: $i] :
( ( X @ U )
| ( Y @ U ) ) ) ),
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
= ( ^ [X: $i > $o,U: $i] :
~ ( X @ U ) ) ) ).
thf('8',plain,
( mnot
= ( ^ [X: $i > $o,U: $i] :
~ ( X @ U ) ) ),
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
= ( ^ [U: $i > $o,V: $i > $o] : ( mor @ ( mnot @ U ) @ V ) ) ),
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('12',plain,
( iimplies
= ( ^ [P: $i > $o,Q: $i > $o] : ( mimplies @ ( mbox_s4 @ P ) @ ( mbox_s4 @ Q ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[iimplies,'5','11']) ).
thf('13',plain,
( iimplies
= ( ^ [V_1: $i > $o,V_2: $i > $o] : ( mimplies @ ( mbox_s4 @ V_1 ) @ ( mbox_s4 @ V_2 ) ) ) ),
define([status(thm)]) ).
thf(axiom2,axiom,
ivalid @ ( iimplies @ ( iatom @ p1 ) @ ( iimplies @ ( iatom @ p1 ) @ ( iatom @ p0 ) ) ) ).
thf(zf_stmt_2,axiom,
! [X4: $i] :
( ! [X8: $i] :
( ( irel @ X4 @ X8 )
=> ( ! [X12: $i] :
( ( irel @ X8 @ X12 )
=> ( p0 @ X12 ) )
| ~ ! [X10: $i] :
( ( irel @ X8 @ X10 )
=> ( p1 @ X10 ) ) ) )
| ~ ! [X6: $i] :
( ( irel @ X4 @ X6 )
=> ( p1 @ X6 ) ) ) ).
thf(zf_stmt_3,axiom,
! [X10: $i,X8: $i] :
( ( ( irel @ X8 @ X10 )
=> ( p1 @ X10 ) )
=> ( zip_tseitin_0 @ X10 @ X8 ) ) ).
thf(zip_derived_cl3,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_0 @ X0 @ X1 )
| ~ ( p1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl3_001,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_0 @ X0 @ X1 )
| ~ ( p1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zf_stmt_4,type,
zip_tseitin_0: $i > $i > $o ).
thf(zf_stmt_5,axiom,
! [X4: $i] :
( ~ ! [X6: $i] : ( zip_tseitin_0 @ X6 @ X4 )
| ! [X8: $i] :
( ( irel @ X4 @ X8 )
=> ( ~ ! [X10: $i] : ( zip_tseitin_0 @ X10 @ X8 )
| ! [X12: $i] :
( ( irel @ X8 @ X12 )
=> ( p0 @ X12 ) ) ) ) ) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( zip_tseitin_0 @ ( sk__2 @ X0 ) @ X0 )
| ~ ( irel @ X0 @ X1 )
| ~ ( zip_tseitin_0 @ ( sk__3 @ X1 ) @ X1 )
| ( p0 @ X2 )
| ~ ( irel @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl30,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( p1 @ ( sk__2 @ X0 ) )
| ~ ( irel @ X2 @ X1 )
| ( p0 @ X1 )
| ~ ( zip_tseitin_0 @ ( sk__3 @ X2 ) @ X2 )
| ~ ( irel @ X0 @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl5]) ).
thf(zip_derived_cl34,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( p1 @ ( sk__3 @ X0 ) )
| ~ ( irel @ X1 @ X0 )
| ( p0 @ X2 )
| ~ ( irel @ X0 @ X2 )
| ~ ( p1 @ ( sk__2 @ X1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl30]) ).
thf(axiom3,axiom,
ivalid @ ( iimplies @ ( iatom @ p2 ) @ ( iimplies @ ( iatom @ p2 ) @ ( iatom @ p1 ) ) ) ).
thf(zf_stmt_6,axiom,
! [X4: $i] :
( ! [X8: $i] :
( ( irel @ X4 @ X8 )
=> ( ! [X12: $i] :
( ( irel @ X8 @ X12 )
=> ( p1 @ X12 ) )
| ~ ! [X10: $i] :
( ( irel @ X8 @ X10 )
=> ( p2 @ X10 ) ) ) )
| ~ ! [X6: $i] :
( ( irel @ X4 @ X6 )
=> ( p2 @ X6 ) ) ) ).
thf(zf_stmt_7,type,
zip_tseitin_1: $i > $i > $o ).
thf(zf_stmt_8,axiom,
! [X10: $i,X8: $i] :
( ( ( irel @ X8 @ X10 )
=> ( p2 @ X10 ) )
=> ( zip_tseitin_1 @ X10 @ X8 ) ) ).
thf(zf_stmt_9,axiom,
! [X4: $i] :
( ~ ! [X6: $i] : ( zip_tseitin_1 @ X6 @ X4 )
| ! [X8: $i] :
( ( irel @ X4 @ X8 )
=> ( ~ ! [X10: $i] : ( zip_tseitin_1 @ X10 @ X8 )
| ! [X12: $i] :
( ( irel @ X8 @ X12 )
=> ( p1 @ X12 ) ) ) ) ) ).
thf(zip_derived_cl8,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( zip_tseitin_1 @ ( sk__4 @ X0 ) @ X0 )
| ~ ( irel @ X0 @ X1 )
| ~ ( zip_tseitin_1 @ ( sk__5 @ X1 ) @ X1 )
| ( p1 @ X2 )
| ~ ( irel @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf(zip_derived_cl6,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_1 @ X0 @ X1 )
| ~ ( p2 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_8]) ).
thf(axiom4,axiom,
ivalid @ ( iimplies @ ( iatom @ p3 ) @ ( iimplies @ ( iatom @ p3 ) @ ( iatom @ p2 ) ) ) ).
thf(zf_stmt_10,axiom,
! [X4: $i] :
( ! [X8: $i] :
( ( irel @ X4 @ X8 )
=> ( ! [X12: $i] :
( ( irel @ X8 @ X12 )
=> ( p2 @ X12 ) )
| ~ ! [X10: $i] :
( ( irel @ X8 @ X10 )
=> ( p3 @ X10 ) ) ) )
| ~ ! [X6: $i] :
( ( irel @ X4 @ X6 )
=> ( p3 @ X6 ) ) ) ).
thf(zf_stmt_11,type,
zip_tseitin_2: $i > $i > $o ).
thf(zf_stmt_12,axiom,
! [X10: $i,X8: $i] :
( ( ( irel @ X8 @ X10 )
=> ( p3 @ X10 ) )
=> ( zip_tseitin_2 @ X10 @ X8 ) ) ).
thf(zf_stmt_13,axiom,
! [X4: $i] :
( ~ ! [X6: $i] : ( zip_tseitin_2 @ X6 @ X4 )
| ! [X8: $i] :
( ( irel @ X4 @ X8 )
=> ( ~ ! [X10: $i] : ( zip_tseitin_2 @ X10 @ X8 )
| ! [X12: $i] :
( ( irel @ X8 @ X12 )
=> ( p2 @ X12 ) ) ) ) ) ).
thf(zip_derived_cl11,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( zip_tseitin_2 @ ( sk__6 @ X0 ) @ X0 )
| ~ ( irel @ X0 @ X1 )
| ~ ( zip_tseitin_2 @ ( sk__7 @ X1 ) @ X1 )
| ( p2 @ X2 )
| ~ ( irel @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_13]) ).
thf(zip_derived_cl9,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_2 @ X0 @ X1 )
| ~ ( p3 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_12]) ).
thf(axiom5,axiom,
ivalid @ ( iimplies @ ( iatom @ p4 ) @ ( iimplies @ ( iatom @ p4 ) @ ( iatom @ p3 ) ) ) ).
thf(zf_stmt_14,axiom,
! [X4: $i] :
( ! [X8: $i] :
( ( irel @ X4 @ X8 )
=> ( ! [X12: $i] :
( ( irel @ X8 @ X12 )
=> ( p3 @ X12 ) )
| ~ ! [X10: $i] :
( ( irel @ X8 @ X10 )
=> ( p4 @ X10 ) ) ) )
| ~ ! [X6: $i] :
( ( irel @ X4 @ X6 )
=> ( p4 @ X6 ) ) ) ).
thf(zf_stmt_15,type,
zip_tseitin_3: $i > $i > $o ).
thf(zf_stmt_16,axiom,
! [X10: $i,X8: $i] :
( ( ( irel @ X8 @ X10 )
=> ( p4 @ X10 ) )
=> ( zip_tseitin_3 @ X10 @ X8 ) ) ).
thf(zf_stmt_17,axiom,
! [X4: $i] :
( ~ ! [X6: $i] : ( zip_tseitin_3 @ X6 @ X4 )
| ! [X8: $i] :
( ( irel @ X4 @ X8 )
=> ( ~ ! [X10: $i] : ( zip_tseitin_3 @ X10 @ X8 )
| ! [X12: $i] :
( ( irel @ X8 @ X12 )
=> ( p3 @ X12 ) ) ) ) ) ).
thf(zip_derived_cl14,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( zip_tseitin_3 @ ( sk__8 @ X0 ) @ X0 )
| ~ ( irel @ X0 @ X1 )
| ~ ( zip_tseitin_3 @ ( sk__9 @ X1 ) @ X1 )
| ( p3 @ X2 )
| ~ ( irel @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_17]) ).
thf(zip_derived_cl12,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_3 @ X0 @ X1 )
| ~ ( p4 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_16]) ).
thf(axiom6,axiom,
ivalid @ ( iimplies @ ( iatom @ p5 ) @ ( iimplies @ ( iatom @ p5 ) @ ( iatom @ p4 ) ) ) ).
thf(zf_stmt_18,axiom,
! [X4: $i] :
( ! [X8: $i] :
( ( irel @ X4 @ X8 )
=> ( ! [X12: $i] :
( ( irel @ X8 @ X12 )
=> ( p4 @ X12 ) )
| ~ ! [X10: $i] :
( ( irel @ X8 @ X10 )
=> ( p5 @ X10 ) ) ) )
| ~ ! [X6: $i] :
( ( irel @ X4 @ X6 )
=> ( p5 @ X6 ) ) ) ).
thf(zf_stmt_19,type,
zip_tseitin_4: $i > $i > $o ).
thf(zf_stmt_20,axiom,
! [X10: $i,X8: $i] :
( ( ( irel @ X8 @ X10 )
=> ( p5 @ X10 ) )
=> ( zip_tseitin_4 @ X10 @ X8 ) ) ).
thf(zf_stmt_21,axiom,
! [X4: $i] :
( ~ ! [X6: $i] : ( zip_tseitin_4 @ X6 @ X4 )
| ! [X8: $i] :
( ( irel @ X4 @ X8 )
=> ( ~ ! [X10: $i] : ( zip_tseitin_4 @ X10 @ X8 )
| ! [X12: $i] :
( ( irel @ X8 @ X12 )
=> ( p4 @ X12 ) ) ) ) ) ).
thf(zip_derived_cl17,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( zip_tseitin_4 @ ( sk__10 @ X0 ) @ X0 )
| ~ ( irel @ X0 @ X1 )
| ~ ( zip_tseitin_4 @ ( sk__11 @ X1 ) @ X1 )
| ( p4 @ X2 )
| ~ ( irel @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_21]) ).
thf(zip_derived_cl15,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_4 @ X0 @ X1 )
| ~ ( p5 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_20]) ).
thf(axiom1,axiom,
ivalid @ ( iatom @ p5 ) ).
thf(zf_stmt_22,axiom,
! [X4: $i] : ( p5 @ X4 ) ).
thf(zip_derived_cl2,plain,
! [X0: $i] : ( p5 @ X0 ),
inference(cnf,[status(esa)],[zf_stmt_22]) ).
thf(zip_derived_cl27,plain,
! [X0: $i,X1: $i] : ( zip_tseitin_4 @ X0 @ X1 ),
inference(demod,[status(thm)],[zip_derived_cl15,zip_derived_cl2]) ).
thf(zip_derived_cl27_002,plain,
! [X0: $i,X1: $i] : ( zip_tseitin_4 @ X0 @ X1 ),
inference(demod,[status(thm)],[zip_derived_cl15,zip_derived_cl2]) ).
thf(zip_derived_cl49,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( irel @ X0 @ X1 )
| ( p4 @ X2 )
| ~ ( irel @ X1 @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl17,zip_derived_cl27,zip_derived_cl27]) ).
thf(zip_derived_cl51,plain,
! [X0: $i] :
( ~ ( irel @ X0 @ X0 )
| ( p4 @ X0 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl49]) ).
thf(refl_axiom,axiom,
! [X: $i] : ( irel @ X @ X ) ).
thf(zip_derived_cl0,plain,
! [X0: $i] : ( irel @ X0 @ X0 ),
inference(cnf,[status(esa)],[refl_axiom]) ).
thf(zip_derived_cl54,plain,
! [X0: $i] : ( p4 @ X0 ),
inference(demod,[status(thm)],[zip_derived_cl51,zip_derived_cl0]) ).
thf(zip_derived_cl58,plain,
! [X0: $i,X1: $i] : ( zip_tseitin_3 @ X0 @ X1 ),
inference(demod,[status(thm)],[zip_derived_cl12,zip_derived_cl54]) ).
thf(zip_derived_cl58_003,plain,
! [X0: $i,X1: $i] : ( zip_tseitin_3 @ X0 @ X1 ),
inference(demod,[status(thm)],[zip_derived_cl12,zip_derived_cl54]) ).
thf(zip_derived_cl59,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( irel @ X0 @ X1 )
| ( p3 @ X2 )
| ~ ( irel @ X1 @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl14,zip_derived_cl58,zip_derived_cl58]) ).
thf(zip_derived_cl61,plain,
! [X0: $i] :
( ~ ( irel @ X0 @ X0 )
| ( p3 @ X0 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl59]) ).
thf(zip_derived_cl0_004,plain,
! [X0: $i] : ( irel @ X0 @ X0 ),
inference(cnf,[status(esa)],[refl_axiom]) ).
thf(zip_derived_cl64,plain,
! [X0: $i] : ( p3 @ X0 ),
inference(demod,[status(thm)],[zip_derived_cl61,zip_derived_cl0]) ).
thf(zip_derived_cl66,plain,
! [X0: $i,X1: $i] : ( zip_tseitin_2 @ X0 @ X1 ),
inference(demod,[status(thm)],[zip_derived_cl9,zip_derived_cl64]) ).
thf(zip_derived_cl66_005,plain,
! [X0: $i,X1: $i] : ( zip_tseitin_2 @ X0 @ X1 ),
inference(demod,[status(thm)],[zip_derived_cl9,zip_derived_cl64]) ).
thf(zip_derived_cl71,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( irel @ X0 @ X1 )
| ( p2 @ X2 )
| ~ ( irel @ X1 @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl11,zip_derived_cl66,zip_derived_cl66]) ).
thf(zip_derived_cl73,plain,
! [X0: $i] :
( ~ ( irel @ X0 @ X0 )
| ( p2 @ X0 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl71]) ).
thf(zip_derived_cl0_006,plain,
! [X0: $i] : ( irel @ X0 @ X0 ),
inference(cnf,[status(esa)],[refl_axiom]) ).
thf(zip_derived_cl76,plain,
! [X0: $i] : ( p2 @ X0 ),
inference(demod,[status(thm)],[zip_derived_cl73,zip_derived_cl0]) ).
thf(zip_derived_cl80,plain,
! [X0: $i,X1: $i] : ( zip_tseitin_1 @ X0 @ X1 ),
inference(demod,[status(thm)],[zip_derived_cl6,zip_derived_cl76]) ).
thf(zip_derived_cl80_007,plain,
! [X0: $i,X1: $i] : ( zip_tseitin_1 @ X0 @ X1 ),
inference(demod,[status(thm)],[zip_derived_cl6,zip_derived_cl76]) ).
thf(zip_derived_cl81,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( irel @ X0 @ X1 )
| ( p1 @ X2 )
| ~ ( irel @ X1 @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl8,zip_derived_cl80,zip_derived_cl80]) ).
thf(zip_derived_cl83,plain,
! [X0: $i] :
( ~ ( irel @ X0 @ X0 )
| ( p1 @ X0 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl81]) ).
thf(zip_derived_cl0_008,plain,
! [X0: $i] : ( irel @ X0 @ X0 ),
inference(cnf,[status(esa)],[refl_axiom]) ).
thf(zip_derived_cl86,plain,
! [X0: $i] : ( p1 @ X0 ),
inference(demod,[status(thm)],[zip_derived_cl83,zip_derived_cl0]) ).
thf(zip_derived_cl86_009,plain,
! [X0: $i] : ( p1 @ X0 ),
inference(demod,[status(thm)],[zip_derived_cl83,zip_derived_cl0]) ).
thf(zip_derived_cl90,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( irel @ X1 @ X0 )
| ( p0 @ X2 )
| ~ ( irel @ X0 @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl34,zip_derived_cl86,zip_derived_cl86]) ).
thf(zip_derived_cl94,plain,
! [X0: $i] :
( ~ ( irel @ X0 @ X0 )
| ( p0 @ X0 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl90]) ).
thf(zip_derived_cl0_010,plain,
! [X0: $i] : ( irel @ X0 @ X0 ),
inference(cnf,[status(esa)],[refl_axiom]) ).
thf(zip_derived_cl97,plain,
! [X0: $i] : ( p0 @ X0 ),
inference(demod,[status(thm)],[zip_derived_cl94,zip_derived_cl0]) ).
thf(zip_derived_cl101,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl18,zip_derived_cl97]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SYO068^4.005 : TPTP v8.1.2. Released v4.0.0.
% 0.14/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.YWT2qN3c7V true
% 0.14/0.35 % Computer : n009.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sat Aug 26 05:21:21 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in HO mode
% 0.23/0.68 % Total configuration time : 828
% 0.23/0.68 % Estimated wc time : 1656
% 0.23/0.68 % Estimated cpu time (8 cpus) : 207.0
% 1.28/0.75 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 1.28/0.77 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 1.28/0.77 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 1.28/0.78 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 1.28/0.78 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 1.28/0.78 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.28/0.78 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 1.28/0.78 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 1.28/0.79 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 1.47/0.80 % /export/starexec/sandbox/solver/bin/lams/35_full_unif.sh running for 56s
% 1.47/0.81 % /export/starexec/sandbox/solver/bin/lams/15_old_s4.sh running for 30s
% 1.51/0.85 % Solved by lams/40_noforms.sh.
% 1.51/0.85 % done 42 iterations in 0.048s
% 1.51/0.85 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.51/0.85 % SZS output start Refutation
% See solution above
% 1.51/0.85
% 1.51/0.85
% 1.51/0.85 % Terminating...
% 1.69/0.97 % Runner terminated.
% 1.69/0.98 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------