TSTP Solution File: AGT039^1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : AGT039^1 : TPTP v8.1.2. Bugfixed v5.4.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.VjTx2sEWAB true
% Computer : n004.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 : Wed Aug 30 15:58:31 EDT 2023
% Result : Theorem 1.51s 0.91s
% Output : Refutation 1.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 60
% Syntax : Number of formulae : 88 ( 44 unt; 22 typ; 0 def)
% Number of atoms : 149 ( 33 equ; 0 cnn)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 277 ( 22 ~; 20 |; 4 &; 219 @)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 132 ( 132 >; 0 *; 0 +; 0 <<)
% Number of symbols : 23 ( 21 usr; 4 con; 0-3 aty)
% Number of variables : 143 ( 62 ^; 76 !; 5 ?; 143 :)
% Comments :
%------------------------------------------------------------------------------
thf(mu_type,type,
mu: $tType ).
thf(subrel_type,type,
subrel: ( $i > $i > $o ) > ( $i > $i > $o ) > $o ).
thf(meuclidean_type,type,
meuclidean: ( $i > $i > $o ) > $o ).
thf(mbox_type,type,
mbox: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
thf(possibly_likes_type,type,
possibly_likes: mu > mu > $i > $o ).
thf(sk__16_type,type,
sk__16: $i > $i ).
thf(likes_type,type,
likes: mu > mu > $i > $o ).
thf(a1_type,type,
a1: $i > $i > $o ).
thf(mnot_type,type,
mnot: ( $i > $o ) > $i > $o ).
thf(pepsi_type,type,
pepsi: mu ).
thf(mimplies_type,type,
mimplies: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(sk__24_type,type,
sk__24: $i ).
thf(mdia_type,type,
mdia: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
thf(a2_type,type,
a2: $i > $i > $o ).
thf(a3_type,type,
a3: $i > $i > $o ).
thf(mserial_type,type,
mserial: ( $i > $i > $o ) > $o ).
thf(msymmetric_type,type,
msymmetric: ( $i > $i > $o ) > $o ).
thf(jan_type,type,
jan: mu ).
thf(mor_type,type,
mor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(mforall_ind_type,type,
mforall_ind: ( mu > $i > $o ) > $i > $o ).
thf(mvalid_type,type,
mvalid: ( $i > $o ) > $o ).
thf(sk__18_type,type,
sk__18: $i > $i ).
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(conj,conjecture,
mvalid @ ( possibly_likes @ jan @ pepsi ) ).
thf(zf_stmt_0,conjecture,
! [X4: $i] : ( possibly_likes @ jan @ pepsi @ X4 ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: $i] : ( possibly_likes @ jan @ pepsi @ X4 ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl46,plain,
~ ( possibly_likes @ jan @ pepsi @ sk__24 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(mserial,axiom,
( mserial
= ( ^ [R: $i > $i > $o] :
! [S: $i] :
? [T: $i] : ( R @ S @ T ) ) ) ).
thf('2',plain,
( mserial
= ( ^ [R: $i > $i > $o] :
! [S: $i] :
? [T: $i] : ( R @ S @ T ) ) ),
inference(simplify_rw_rule,[status(thm)],[mserial]) ).
thf('3',plain,
( mserial
= ( ^ [V_1: $i > $i > $o] :
! [X4: $i] :
? [X6: $i] : ( V_1 @ X4 @ X6 ) ) ),
define([status(thm)]) ).
thf(axioms_D_a3,axiom,
mserial @ a3 ).
thf(zf_stmt_2,axiom,
! [X4: $i] :
? [X6: $i] : ( a3 @ X4 @ X6 ) ).
thf(zip_derived_cl30,plain,
! [X0: $i] : ( a3 @ X0 @ ( sk__18 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(axioms_D_a1,axiom,
mserial @ a1 ).
thf(zf_stmt_3,axiom,
! [X4: $i] :
? [X6: $i] : ( a1 @ X4 @ X6 ) ).
thf(zip_derived_cl28,plain,
! [X0: $i] : ( a1 @ X0 @ ( sk__16 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(msymmetric,axiom,
( msymmetric
= ( ^ [R: $i > $i > $o] :
! [S: $i,T: $i] :
( ( R @ S @ T )
=> ( R @ T @ S ) ) ) ) ).
thf('4',plain,
( msymmetric
= ( ^ [R: $i > $i > $o] :
! [S: $i,T: $i] :
( ( R @ S @ T )
=> ( R @ T @ S ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[msymmetric]) ).
thf('5',plain,
( msymmetric
= ( ^ [V_1: $i > $i > $o] :
! [X4: $i,X6: $i] :
( ( V_1 @ X4 @ X6 )
=> ( V_1 @ X6 @ X4 ) ) ) ),
define([status(thm)]) ).
thf(axioms_B_a1,axiom,
msymmetric @ a1 ).
thf(zf_stmt_4,axiom,
! [X4: $i,X6: $i] :
( ( a1 @ X4 @ X6 )
=> ( a1 @ X6 @ X4 ) ) ).
thf(zip_derived_cl25,plain,
! [X0: $i,X1: $i] :
( ( a1 @ X0 @ X1 )
| ~ ( a1 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(subrel_def,axiom,
( subrel
= ( ^ [R1: $i > $i > $o,R2: $i > $i > $o] :
! [X: $i,Y: $i] :
( ( R1 @ X @ Y )
=> ( R2 @ X @ Y ) ) ) ) ).
thf('6',plain,
( subrel
= ( ^ [R1: $i > $i > $o,R2: $i > $i > $o] :
! [X: $i,Y: $i] :
( ( R1 @ X @ Y )
=> ( R2 @ X @ Y ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[subrel_def]) ).
thf('7',plain,
( subrel
= ( ^ [V_1: $i > $i > $o,V_2: $i > $i > $o] :
! [X4: $i,X6: $i] :
( ( V_1 @ X4 @ X6 )
=> ( V_2 @ X4 @ X6 ) ) ) ),
define([status(thm)]) ).
thf(axiom_I_a1_a2,axiom,
subrel @ a1 @ a2 ).
thf(zf_stmt_5,axiom,
! [X4: $i,X6: $i] :
( ( a1 @ X4 @ X6 )
=> ( a2 @ X4 @ X6 ) ) ).
thf(zip_derived_cl31,plain,
! [X0: $i,X1: $i] :
( ( a2 @ X0 @ X1 )
| ~ ( a1 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(meuclidean,axiom,
( meuclidean
= ( ^ [R: $i > $i > $o] :
! [S: $i,T: $i,U: $i] :
( ( ( R @ S @ T )
& ( R @ S @ U ) )
=> ( R @ T @ U ) ) ) ) ).
thf('8',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('9',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(axioms_5_a2,axiom,
meuclidean @ a2 ).
thf(zf_stmt_6,axiom,
! [X4: $i,X6: $i,X8: $i] :
( ( ( a2 @ X4 @ X6 )
& ( a2 @ X4 @ X8 ) )
=> ( a2 @ X6 @ X8 ) ) ).
thf(zip_derived_cl44,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( a2 @ X0 @ X1 )
| ~ ( a2 @ X0 @ X2 )
| ( a2 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf(zip_derived_cl134,plain,
! [X0: $i,X1: $i] :
( ( a2 @ X0 @ X0 )
| ~ ( a2 @ X1 @ X0 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl44]) ).
thf(zip_derived_cl160,plain,
! [X0: $i,X1: $i] :
( ~ ( a1 @ X1 @ X0 )
| ( a2 @ X0 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl134]) ).
thf(zip_derived_cl212,plain,
! [X0: $i,X1: $i] :
( ~ ( a1 @ X0 @ X1 )
| ( a2 @ X0 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl25,zip_derived_cl160]) ).
thf(zip_derived_cl325,plain,
! [X0: $i] : ( a2 @ X0 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl28,zip_derived_cl212]) ).
thf(mbox,axiom,
( mbox
= ( ^ [R: $i > $i > $o,Phi: $i > $o,W: $i] :
! [V: $i] :
( ( Phi @ V )
| ~ ( R @ W @ V ) ) ) ) ).
thf('10',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('11',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(axiom_a2_1,axiom,
mvalid @ ( mbox @ a2 @ ( likes @ jan @ pepsi ) ) ).
thf(zf_stmt_7,axiom,
! [X4: $i,X6: $i] :
( ( likes @ jan @ pepsi @ X6 )
| ~ ( a2 @ X4 @ X6 ) ) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i] :
( ( likes @ jan @ pepsi @ X0 )
| ~ ( a2 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl338,plain,
! [X0: $i] : ( likes @ jan @ pepsi @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl325,zip_derived_cl4]) ).
thf(mdia,axiom,
( mdia
= ( ^ [R: $i > $i > $o,Phi: $i > $o] : ( mnot @ ( mbox @ R @ ( mnot @ Phi ) ) ) ) ) ).
thf(mnot,axiom,
( mnot
= ( ^ [Phi: $i > $o,W: $i] :
~ ( Phi @ W ) ) ) ).
thf('12',plain,
( mnot
= ( ^ [Phi: $i > $o,W: $i] :
~ ( Phi @ W ) ) ),
inference(simplify_rw_rule,[status(thm)],[mnot]) ).
thf('13',plain,
( mnot
= ( ^ [V_1: $i > $o,V_2: $i] :
~ ( V_1 @ V_2 ) ) ),
define([status(thm)]) ).
thf('14',plain,
( mdia
= ( ^ [R: $i > $i > $o,Phi: $i > $o] : ( mnot @ ( mbox @ R @ ( mnot @ Phi ) ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mdia,'11','13']) ).
thf('15',plain,
( mdia
= ( ^ [V_1: $i > $i > $o,V_2: $i > $o] : ( mnot @ ( mbox @ V_1 @ ( mnot @ V_2 ) ) ) ) ),
define([status(thm)]) ).
thf(mforall_ind,axiom,
( mforall_ind
= ( ^ [Phi: mu > $i > $o,W: $i] :
! [X: mu] : ( Phi @ X @ W ) ) ) ).
thf('16',plain,
( mforall_ind
= ( ^ [Phi: mu > $i > $o,W: $i] :
! [X: mu] : ( Phi @ X @ W ) ) ),
inference(simplify_rw_rule,[status(thm)],[mforall_ind]) ).
thf('17',plain,
( mforall_ind
= ( ^ [V_1: mu > $i > $o,V_2: $i] :
! [X4: mu] : ( 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('18',plain,
( mor
= ( ^ [Phi: $i > $o,Psi: $i > $o,W: $i] :
( ( Phi @ W )
| ( Psi @ W ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mor]) ).
thf('19',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('20',plain,
( mimplies
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mor @ ( mnot @ Phi ) @ Psi ) ) ),
inference(simplify_rw_rule,[status(thm)],[mimplies,'19','13']) ).
thf('21',plain,
( mimplies
= ( ^ [V_1: $i > $o,V_2: $i > $o] : ( mor @ ( mnot @ V_1 ) @ V_2 ) ) ),
define([status(thm)]) ).
thf(axiom_user_communication_5,axiom,
( mvalid
@ ( mforall_ind
@ ^ [X: mu] :
( mforall_ind
@ ^ [Y: mu] : ( mimplies @ ( mdia @ a3 @ ( likes @ X @ Y ) ) @ ( possibly_likes @ X @ Y ) ) ) ) ) ).
thf(zf_stmt_8,axiom,
! [X4: $i,X6: mu,X8: mu] :
( ! [X10: $i] :
( ~ ( likes @ X6 @ X8 @ X10 )
| ~ ( a3 @ X4 @ X10 ) )
| ( possibly_likes @ X6 @ X8 @ X4 ) ) ).
thf(zip_derived_cl24,plain,
! [X0: $i,X1: $i,X2: mu,X3: mu] :
( ~ ( a3 @ X0 @ X1 )
| ~ ( likes @ X2 @ X3 @ X1 )
| ( possibly_likes @ X2 @ X3 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_8]) ).
thf(zip_derived_cl371,plain,
! [X0: $i,X1: $i] :
( ( possibly_likes @ jan @ pepsi @ X1 )
| ~ ( a3 @ X1 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl338,zip_derived_cl24]) ).
thf(zip_derived_cl387,plain,
! [X0: $i] : ( possibly_likes @ jan @ pepsi @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl30,zip_derived_cl371]) ).
thf(zip_derived_cl401,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl46,zip_derived_cl387]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : AGT039^1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.VjTx2sEWAB true
% 0.14/0.35 % Computer : n004.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
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sun Aug 27 17:17:23 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in HO mode
% 0.21/0.64 % Total configuration time : 828
% 0.21/0.64 % Estimated wc time : 1656
% 0.21/0.64 % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.77 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.21/0.77 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.21/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.21/0.77 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.21/0.78 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.21/0.81 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 0.94/0.89 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif.sh running for 56s
% 1.51/0.91 % Solved by lams/40_noforms.sh.
% 1.51/0.91 % done 79 iterations in 0.112s
% 1.51/0.91 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.51/0.91 % SZS output start Refutation
% See solution above
% 1.51/0.91
% 1.51/0.91
% 1.51/0.91 % Terminating...
% 1.78/0.96 % Runner terminated.
% 1.78/0.97 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------