%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL705^1 : TPTP v9.3.1. Bugfixed v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.u0KbGIEl5X true
% Computer : n026.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 01:37:05 PM UTC 2026
% Result : Theorem 0.49s 0.78s
% Output : Refutation 0.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 22
% Syntax : Number of formulae : 59 ( 43 unt; 0 typ; 0 def)
% Number of atoms : 156 ( 40 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 317 ( 53 ~; 43 |; 5 &; 208 @)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 75 ( 75 >; 0 *; 0 +; 0 <<)
% Number of symbols : 18 ( 16 usr; 4 con; 0-3 aty)
% Number of variables : 121 ( 61 ^; 55 !; 5 ?; 121 :)
% Comments :
%------------------------------------------------------------------------------
thf(mbox_type,type,
mbox: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
thf(mand_type,type,
mand: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(sk__11_type,type,
sk__11: $i > $i ).
thf(mnot_type,type,
mnot: ( $i > $o ) > $i > $o ).
thf(sk__9_type,type,
sk__9: $i ).
thf(mimplies_type,type,
mimplies: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(sk__10_type,type,
sk__10: $i ).
thf(mdia_type,type,
mdia: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
thf(sk__8_type,type,
sk__8: $i > $o ).
thf(mfunctional_type,type,
mfunctional: ( $i > $i > $o ) > $o ).
thf(sk__7_type,type,
sk__7: $i ).
thf(mequiv_type,type,
mequiv: ( $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(sk__6_type,type,
sk__6: $i > $i > $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(mfunctional,axiom,
( mfunctional
= ( ^ [R: $i > $i > $o] :
! [S: $i] :
? [T: $i] :
( ! [U: $i] :
( ( R @ S @ U )
=> ( T = U ) )
& ( R @ S @ T ) ) ) ) ).
thf('2',plain,
( mfunctional
= ( ^ [R: $i > $i > $o] :
! [S: $i] :
? [T: $i] :
( ! [U: $i] :
( ( R @ S @ U )
=> ( T = U ) )
& ( R @ S @ T ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mfunctional]) ).
thf('3',plain,
( mfunctional
= ( ^ [V_1: $i > $i > $o] :
! [X4: $i] :
? [X6: $i] :
( ! [X8: $i] :
( ( V_1 @ X4 @ X8 )
=> ( X6 = X8 ) )
& ( V_1 @ X4 @ X6 ) ) ) ),
define([status(thm)]) ).
thf(mdia,axiom,
( mdia
= ( ^ [R: $i > $i > $o,Phi: $i > $o] : ( mnot @ ( mbox @ R @ ( mnot @ Phi ) ) ) ) ) ).
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(mnot,axiom,
( mnot
= ( ^ [Phi: $i > $o,W: $i] :
~ ( Phi @ W ) ) ) ).
thf('6',plain,
( mnot
= ( ^ [Phi: $i > $o,W: $i] :
~ ( Phi @ W ) ) ),
inference(simplify_rw_rule,[status(thm)],[mnot]) ).
thf('7',plain,
( mnot
= ( ^ [V_1: $i > $o,V_2: $i] :
~ ( V_1 @ V_2 ) ) ),
define([status(thm)]) ).
thf('8',plain,
( mdia
= ( ^ [R: $i > $i > $o,Phi: $i > $o] : ( mnot @ ( mbox @ R @ ( mnot @ Phi ) ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mdia,'5','7']) ).
thf('9',plain,
( mdia
= ( ^ [V_1: $i > $i > $o,V_2: $i > $o] : ( mnot @ ( mbox @ V_1 @ ( mnot @ V_2 ) ) ) ) ),
define([status(thm)]) ).
thf(mforall_prop,axiom,
( mforall_prop
= ( ^ [Phi: ( $i > $o ) > $i > $o,W: $i] :
! [P: $i > $o] : ( Phi @ P @ W ) ) ) ).
thf('10',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('11',plain,
( mforall_prop
= ( ^ [V_1: ( $i > $o ) > $i > $o,V_2: $i] :
! [X4: $i > $o] : ( V_1 @ X4 @ 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('12',plain,
( mor
= ( ^ [Phi: $i > $o,Psi: $i > $o,W: $i] :
( ( Phi @ W )
| ( Psi @ W ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mor]) ).
thf('13',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('14',plain,
( mimplies
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mor @ ( mnot @ Phi ) @ Psi ) ) ),
inference(simplify_rw_rule,[status(thm)],[mimplies,'13','7']) ).
thf('15',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('16',plain,
( mand
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mnot @ ( mor @ ( mnot @ Phi ) @ ( mnot @ Psi ) ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mand,'13','7']) ).
thf('17',plain,
( mand
= ( ^ [V_1: $i > $o,V_2: $i > $o] : ( mnot @ ( mor @ ( mnot @ V_1 ) @ ( mnot @ V_2 ) ) ) ) ),
define([status(thm)]) ).
thf('18',plain,
( mequiv
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mand @ ( mimplies @ Phi @ Psi ) @ ( mimplies @ Psi @ Phi ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mequiv,'15','17','13','7']) ).
thf('19',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(conj,conjecture,
! [R: $i > $i > $o] :
( ( mfunctional @ R )
=> ( mvalid
@ ( mforall_prop
@ ^ [A: $i > $o] : ( mequiv @ ( mdia @ R @ A ) @ ( mbox @ R @ A ) ) ) ) ) ).
thf(zf_stmt_0,conjecture,
! [X4: $i > $i > $o] :
( ! [X6: $i] :
? [X8: $i] :
( ! [X10: $i] :
( ( X4 @ X6 @ X10 )
=> ( X8 = X10 ) )
& ( X4 @ X6 @ X8 ) )
=> ! [X12: $i,X14: $i > $o] :
~ ( ~ ( ! [X16: $i] :
( ~ ( X14 @ X16 )
| ~ ( X4 @ X12 @ X16 ) )
| ! [X18: $i] :
( ( X14 @ X18 )
| ~ ( X4 @ X12 @ X18 ) ) )
| ~ ( ~ ! [X20: $i] :
( ( X14 @ X20 )
| ~ ( X4 @ X12 @ X20 ) )
| ~ ! [X22: $i] :
( ~ ( X14 @ X22 )
| ~ ( X4 @ X12 @ X22 ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: $i > $i > $o] :
( ! [X6: $i] :
? [X8: $i] :
( ! [X10: $i] :
( ( X4 @ X6 @ X10 )
=> ( X8 = X10 ) )
& ( X4 @ X6 @ X8 ) )
=> ! [X12: $i,X14: $i > $o] :
~ ( ~ ( ! [X16: $i] :
( ~ ( X14 @ X16 )
| ~ ( X4 @ X12 @ X16 ) )
| ! [X18: $i] :
( ( X14 @ X18 )
| ~ ( X4 @ X12 @ X18 ) ) )
| ~ ( ~ ! [X20: $i] :
( ( X14 @ X20 )
| ~ ( X4 @ X12 @ X20 ) )
| ~ ! [X22: $i] :
( ~ ( X14 @ X22 )
| ~ ( X4 @ X12 @ X22 ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1,plain,
! [X1: $i] : ( sk__6 @ X1 @ ( sk__11 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl3,plain,
! [X3: $i] :
( ( sk__6 @ sk__7 @ sk__9 )
| ~ ( sk__8 @ X3 )
| ~ ( sk__6 @ sk__7 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl2,plain,
! [X2: $i] :
( ( sk__6 @ sk__7 @ sk__9 )
| ( sk__8 @ X2 )
| ~ ( sk__6 @ sk__7 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl20,plain,
! [X3: $i] :
( ~ ( sk__6 @ sk__7 @ X3 )
| ( sk__6 @ sk__7 @ sk__9 ) ),
inference(clc,[status(thm)],[zip_derived_cl3,zip_derived_cl2]) ).
thf(zip_derived_cl21,plain,
sk__6 @ sk__7 @ sk__9,
inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl20]) ).
thf(zip_derived_cl8,plain,
! [X2: $i] :
( ~ ( sk__8 @ sk__10 )
| ( sk__8 @ X2 )
| ~ ( sk__6 @ sk__7 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl9,plain,
! [X3: $i] :
( ~ ( sk__8 @ sk__10 )
| ~ ( sk__8 @ X3 )
| ~ ( sk__6 @ sk__7 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl19,plain,
! [X2: $i] :
( ~ ( sk__6 @ sk__7 @ X2 )
| ~ ( sk__8 @ sk__10 ) ),
inference(clc,[status(thm)],[zip_derived_cl8,zip_derived_cl9]) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i] :
( ( ( sk__11 @ X1 )
= X0 )
| ~ ( sk__6 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl0_001,plain,
! [X0: $i,X1: $i] :
( ( ( sk__11 @ X1 )
= X0 )
| ~ ( sk__6 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl27,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ~ ( sk__6 @ X2 @ X0 )
| ~ ( sk__6 @ X2 @ X1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl0]) ).
thf(zip_derived_cl21_002,plain,
sk__6 @ sk__7 @ sk__9,
inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl20]) ).
thf(zip_derived_cl7,plain,
! [X3: $i] :
( ( sk__6 @ sk__7 @ sk__10 )
| ~ ( sk__8 @ X3 )
| ~ ( sk__6 @ sk__7 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl35,plain,
( ~ ( sk__8 @ sk__9 )
| ( sk__6 @ sk__7 @ sk__10 ) ),
inference('sup-',[status(thm)],[zip_derived_cl21,zip_derived_cl7]) ).
thf(zip_derived_cl1_003,plain,
! [X1: $i] : ( sk__6 @ X1 @ ( sk__11 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl5,plain,
! [X3: $i] :
( ( sk__8 @ sk__9 )
| ~ ( sk__8 @ X3 )
| ~ ( sk__6 @ sk__7 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl4,plain,
! [X2: $i] :
( ( sk__8 @ sk__9 )
| ( sk__8 @ X2 )
| ~ ( sk__6 @ sk__7 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl16,plain,
! [X3: $i] :
( ~ ( sk__6 @ sk__7 @ X3 )
| ( sk__8 @ sk__9 ) ),
inference(clc,[status(thm)],[zip_derived_cl5,zip_derived_cl4]) ).
thf(zip_derived_cl17,plain,
sk__8 @ sk__9,
inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl16]) ).
thf(zip_derived_cl41,plain,
sk__6 @ sk__7 @ sk__10,
inference(demod,[status(thm)],[zip_derived_cl35,zip_derived_cl17]) ).
thf(zip_derived_cl43,plain,
! [X0: $i] :
( ~ ( sk__6 @ sk__7 @ X0 )
| ( X0 = sk__10 ) ),
inference('sup+',[status(thm)],[zip_derived_cl27,zip_derived_cl41]) ).
thf(zip_derived_cl21_004,plain,
sk__6 @ sk__7 @ sk__9,
inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl20]) ).
thf(zip_derived_cl87,plain,
sk__9 = sk__10,
inference('sup+',[status(thm)],[zip_derived_cl43,zip_derived_cl21]) ).
thf(zip_derived_cl17_005,plain,
sk__8 @ sk__9,
inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl16]) ).
thf(zip_derived_cl99,plain,
! [X2: $i] :
~ ( sk__6 @ sk__7 @ X2 ),
inference(demod,[status(thm)],[zip_derived_cl19,zip_derived_cl87,zip_derived_cl17]) ).
thf(zip_derived_cl107,plain,
$false,
inference('sup-',[status(thm)],[zip_derived_cl21,zip_derived_cl99]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL705^1 : TPTP v9.3.1. Bugfixed v5.0.0.
% 0.00/0.05 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.u0KbGIEl5X true
% 0.10/0.37 % Computer : n026.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sat Sep 5 15:27:11 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 % Running portfolio for 300 s
% 0.10/0.37 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.37 % Number of cores: 8
% 0.15/0.38 % Python version: Python 3.12.3
% 0.15/0.38 % Running in HO mode
% 0.46/0.66 % Total configuration time : 828
% 0.46/0.66 % Estimated wc time : 1656
% 0.46/0.66 % Estimated cpu time (8 cpus) : 207.0
% 0.49/0.73 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.49/0.78 % Solved by lams/40_c.s.sh.
% 0.49/0.78 % done 24 iterations in 0.027s
% 0.49/0.78 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.49/0.78 % SZS output start Refutation
% See solution above
% 0.49/0.78
% 0.49/0.78
% 0.49/0.78 % Terminating...
% 1.54/0.81 % Runner terminated.
% 1.54/0.83 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------