TSTP Solution File: SEU305+2 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU305+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ASynxclG8Y true
% Computer : n032.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 Aug 31 19:12:00 EDT 2023
% Result : Theorem 2.60s 0.84s
% Output : Refutation 2.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 15
% Syntax : Number of formulae : 64 ( 27 unt; 11 typ; 0 def)
% Number of atoms : 149 ( 29 equ; 0 cnn)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 521 ( 69 ~; 67 |; 15 &; 356 @)
% ( 1 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 15 ( 15 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 11 usr; 4 con; 0-3 aty)
% Number of variables : 44 ( 0 ^; 44 !; 0 ?; 44 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__7_type,type,
sk__7: $i ).
thf(below_type,type,
below: $i > $i > $i > $o ).
thf(sk__6_type,type,
sk__6: $i ).
thf(join_commut_type,type,
join_commut: $i > $i > $i > $i ).
thf(join_semilatt_str_type,type,
join_semilatt_str: $i > $o ).
thf(join_commutative_type,type,
join_commutative: $i > $o ).
thf(the_carrier_type,type,
the_carrier: $i > $i ).
thf(sk__5_type,type,
sk__5: $i ).
thf(element_type,type,
element: $i > $i > $o ).
thf(join_type,type,
join: $i > $i > $i > $i ).
thf(empty_carrier_type,type,
empty_carrier: $i > $o ).
thf(t26_lattices,conjecture,
! [A: $i] :
( ( ~ ( empty_carrier @ A )
& ( join_commutative @ A )
& ( join_semilatt_str @ A ) )
=> ! [B: $i] :
( ( element @ B @ ( the_carrier @ A ) )
=> ! [C: $i] :
( ( element @ C @ ( the_carrier @ A ) )
=> ( ( ( below @ A @ B @ C )
& ( below @ A @ C @ B ) )
=> ( B = C ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i] :
( ( ~ ( empty_carrier @ A )
& ( join_commutative @ A )
& ( join_semilatt_str @ A ) )
=> ! [B: $i] :
( ( element @ B @ ( the_carrier @ A ) )
=> ! [C: $i] :
( ( element @ C @ ( the_carrier @ A ) )
=> ( ( ( below @ A @ B @ C )
& ( below @ A @ C @ B ) )
=> ( B = C ) ) ) ) ),
inference('cnf.neg',[status(esa)],[t26_lattices]) ).
thf(zip_derived_cl32,plain,
element @ sk__6 @ ( the_carrier @ sk__5 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(redefinition_k3_lattices,axiom,
! [A: $i,B: $i,C: $i] :
( ( ~ ( empty_carrier @ A )
& ( join_commutative @ A )
& ( join_semilatt_str @ A )
& ( element @ B @ ( the_carrier @ A ) )
& ( element @ C @ ( the_carrier @ A ) ) )
=> ( ( join_commut @ A @ B @ C )
= ( join @ A @ B @ C ) ) ) ).
thf(zip_derived_cl17,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( element @ X0 @ ( the_carrier @ X1 ) )
| ~ ( join_semilatt_str @ X1 )
| ~ ( join_commutative @ X1 )
| ( empty_carrier @ X1 )
| ~ ( element @ X2 @ ( the_carrier @ X1 ) )
| ( ( join_commut @ X1 @ X0 @ X2 )
= ( join @ X1 @ X0 @ X2 ) ) ),
inference(cnf,[status(esa)],[redefinition_k3_lattices]) ).
thf(zip_derived_cl375,plain,
! [X0: $i] :
( ( ( join_commut @ sk__5 @ sk__6 @ X0 )
= ( join @ sk__5 @ sk__6 @ X0 ) )
| ~ ( element @ X0 @ ( the_carrier @ sk__5 ) )
| ( empty_carrier @ sk__5 )
| ~ ( join_commutative @ sk__5 )
| ~ ( join_semilatt_str @ sk__5 ) ),
inference('sup-',[status(thm)],[zip_derived_cl32,zip_derived_cl17]) ).
thf(zip_derived_cl25,plain,
~ ( empty_carrier @ sk__5 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl26,plain,
join_commutative @ sk__5,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl27,plain,
join_semilatt_str @ sk__5,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl378,plain,
! [X0: $i] :
( ( ( join_commut @ sk__5 @ sk__6 @ X0 )
= ( join @ sk__5 @ sk__6 @ X0 ) )
| ~ ( element @ X0 @ ( the_carrier @ sk__5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl375,zip_derived_cl25,zip_derived_cl26,zip_derived_cl27]) ).
thf(zip_derived_cl32_001,plain,
element @ sk__6 @ ( the_carrier @ sk__5 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(d3_lattices,axiom,
! [A: $i] :
( ( ~ ( empty_carrier @ A )
& ( join_semilatt_str @ A ) )
=> ! [B: $i] :
( ( element @ B @ ( the_carrier @ A ) )
=> ! [C: $i] :
( ( element @ C @ ( the_carrier @ A ) )
=> ( ( below @ A @ B @ C )
<=> ( ( join @ A @ B @ C )
= C ) ) ) ) ) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( element @ X0 @ ( the_carrier @ X1 ) )
| ~ ( below @ X1 @ X0 @ X2 )
| ( ( join @ X1 @ X0 @ X2 )
= X2 )
| ~ ( element @ X2 @ ( the_carrier @ X1 ) )
| ~ ( join_semilatt_str @ X1 )
| ( empty_carrier @ X1 ) ),
inference(cnf,[status(esa)],[d3_lattices]) ).
thf(zip_derived_cl102,plain,
! [X0: $i] :
( ( empty_carrier @ sk__5 )
| ~ ( join_semilatt_str @ sk__5 )
| ~ ( element @ X0 @ ( the_carrier @ sk__5 ) )
| ( ( join @ sk__5 @ sk__6 @ X0 )
= X0 )
| ~ ( below @ sk__5 @ sk__6 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl32,zip_derived_cl5]) ).
thf(zip_derived_cl25_002,plain,
~ ( empty_carrier @ sk__5 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl27_003,plain,
join_semilatt_str @ sk__5,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl104,plain,
! [X0: $i] :
( ~ ( element @ X0 @ ( the_carrier @ sk__5 ) )
| ( ( join @ sk__5 @ sk__6 @ X0 )
= X0 )
| ~ ( below @ sk__5 @ sk__6 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl102,zip_derived_cl25,zip_derived_cl27]) ).
thf(zip_derived_cl424,plain,
! [X0: $i] :
( ( ( join_commut @ sk__5 @ sk__6 @ X0 )
= X0 )
| ~ ( element @ X0 @ ( the_carrier @ sk__5 ) )
| ~ ( below @ sk__5 @ sk__6 @ X0 )
| ~ ( element @ X0 @ ( the_carrier @ sk__5 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl378,zip_derived_cl104]) ).
thf(zip_derived_cl426,plain,
! [X0: $i] :
( ~ ( below @ sk__5 @ sk__6 @ X0 )
| ~ ( element @ X0 @ ( the_carrier @ sk__5 ) )
| ( ( join_commut @ sk__5 @ sk__6 @ X0 )
= X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl424]) ).
thf(zip_derived_cl28,plain,
element @ sk__7 @ ( the_carrier @ sk__5 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(commutativity_k3_lattices,axiom,
! [A: $i,B: $i,C: $i] :
( ( ~ ( empty_carrier @ A )
& ( join_commutative @ A )
& ( join_semilatt_str @ A )
& ( element @ B @ ( the_carrier @ A ) )
& ( element @ C @ ( the_carrier @ A ) ) )
=> ( ( join_commut @ A @ B @ C )
= ( join_commut @ A @ C @ B ) ) ) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( element @ X0 @ ( the_carrier @ X1 ) )
| ~ ( join_semilatt_str @ X1 )
| ~ ( join_commutative @ X1 )
| ( empty_carrier @ X1 )
| ~ ( element @ X2 @ ( the_carrier @ X1 ) )
| ( ( join_commut @ X1 @ X0 @ X2 )
= ( join_commut @ X1 @ X2 @ X0 ) ) ),
inference(cnf,[status(esa)],[commutativity_k3_lattices]) ).
thf(zip_derived_cl34,plain,
! [X0: $i] :
( ( ( join_commut @ sk__5 @ sk__7 @ X0 )
= ( join_commut @ sk__5 @ X0 @ sk__7 ) )
| ~ ( element @ X0 @ ( the_carrier @ sk__5 ) )
| ( empty_carrier @ sk__5 )
| ~ ( join_commutative @ sk__5 )
| ~ ( join_semilatt_str @ sk__5 ) ),
inference('sup-',[status(thm)],[zip_derived_cl28,zip_derived_cl0]) ).
thf(zip_derived_cl25_004,plain,
~ ( empty_carrier @ sk__5 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl26_005,plain,
join_commutative @ sk__5,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl27_006,plain,
join_semilatt_str @ sk__5,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl35,plain,
! [X0: $i] :
( ( ( join_commut @ sk__5 @ sk__7 @ X0 )
= ( join_commut @ sk__5 @ X0 @ sk__7 ) )
| ~ ( element @ X0 @ ( the_carrier @ sk__5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl34,zip_derived_cl25,zip_derived_cl26,zip_derived_cl27]) ).
thf(zip_derived_cl584,plain,
( ( ( join_commut @ sk__5 @ sk__7 @ sk__6 )
= sk__7 )
| ~ ( element @ sk__7 @ ( the_carrier @ sk__5 ) )
| ~ ( below @ sk__5 @ sk__6 @ sk__7 )
| ~ ( element @ sk__6 @ ( the_carrier @ sk__5 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl426,zip_derived_cl35]) ).
thf(zip_derived_cl28_007,plain,
element @ sk__7 @ ( the_carrier @ sk__5 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl31,plain,
below @ sk__5 @ sk__6 @ sk__7,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl32_008,plain,
element @ sk__6 @ ( the_carrier @ sk__5 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl598,plain,
( ( join_commut @ sk__5 @ sk__7 @ sk__6 )
= sk__7 ),
inference(demod,[status(thm)],[zip_derived_cl584,zip_derived_cl28,zip_derived_cl31,zip_derived_cl32]) ).
thf(zip_derived_cl28_009,plain,
element @ sk__7 @ ( the_carrier @ sk__5 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl17_010,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( element @ X0 @ ( the_carrier @ X1 ) )
| ~ ( join_semilatt_str @ X1 )
| ~ ( join_commutative @ X1 )
| ( empty_carrier @ X1 )
| ~ ( element @ X2 @ ( the_carrier @ X1 ) )
| ( ( join_commut @ X1 @ X0 @ X2 )
= ( join @ X1 @ X0 @ X2 ) ) ),
inference(cnf,[status(esa)],[redefinition_k3_lattices]) ).
thf(zip_derived_cl377,plain,
! [X0: $i] :
( ( ( join_commut @ sk__5 @ sk__7 @ X0 )
= ( join @ sk__5 @ sk__7 @ X0 ) )
| ~ ( element @ X0 @ ( the_carrier @ sk__5 ) )
| ( empty_carrier @ sk__5 )
| ~ ( join_commutative @ sk__5 )
| ~ ( join_semilatt_str @ sk__5 ) ),
inference('sup-',[status(thm)],[zip_derived_cl28,zip_derived_cl17]) ).
thf(zip_derived_cl25_011,plain,
~ ( empty_carrier @ sk__5 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl26_012,plain,
join_commutative @ sk__5,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl27_013,plain,
join_semilatt_str @ sk__5,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl379,plain,
! [X0: $i] :
( ( ( join_commut @ sk__5 @ sk__7 @ X0 )
= ( join @ sk__5 @ sk__7 @ X0 ) )
| ~ ( element @ X0 @ ( the_carrier @ sk__5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl377,zip_derived_cl25,zip_derived_cl26,zip_derived_cl27]) ).
thf(zip_derived_cl28_014,plain,
element @ sk__7 @ ( the_carrier @ sk__5 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5_015,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( element @ X0 @ ( the_carrier @ X1 ) )
| ~ ( below @ X1 @ X0 @ X2 )
| ( ( join @ X1 @ X0 @ X2 )
= X2 )
| ~ ( element @ X2 @ ( the_carrier @ X1 ) )
| ~ ( join_semilatt_str @ X1 )
| ( empty_carrier @ X1 ) ),
inference(cnf,[status(esa)],[d3_lattices]) ).
thf(zip_derived_cl103,plain,
! [X0: $i] :
( ( empty_carrier @ sk__5 )
| ~ ( join_semilatt_str @ sk__5 )
| ~ ( element @ X0 @ ( the_carrier @ sk__5 ) )
| ( ( join @ sk__5 @ sk__7 @ X0 )
= X0 )
| ~ ( below @ sk__5 @ sk__7 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl28,zip_derived_cl5]) ).
thf(zip_derived_cl25_016,plain,
~ ( empty_carrier @ sk__5 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl27_017,plain,
join_semilatt_str @ sk__5,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl105,plain,
! [X0: $i] :
( ~ ( element @ X0 @ ( the_carrier @ sk__5 ) )
| ( ( join @ sk__5 @ sk__7 @ X0 )
= X0 )
| ~ ( below @ sk__5 @ sk__7 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl103,zip_derived_cl25,zip_derived_cl27]) ).
thf(zip_derived_cl428,plain,
! [X0: $i] :
( ( ( join_commut @ sk__5 @ sk__7 @ X0 )
= X0 )
| ~ ( element @ X0 @ ( the_carrier @ sk__5 ) )
| ~ ( below @ sk__5 @ sk__7 @ X0 )
| ~ ( element @ X0 @ ( the_carrier @ sk__5 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl379,zip_derived_cl105]) ).
thf(zip_derived_cl430,plain,
! [X0: $i] :
( ~ ( below @ sk__5 @ sk__7 @ X0 )
| ~ ( element @ X0 @ ( the_carrier @ sk__5 ) )
| ( ( join_commut @ sk__5 @ sk__7 @ X0 )
= X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl428]) ).
thf(zip_derived_cl984,plain,
( ( sk__7 = sk__6 )
| ~ ( element @ sk__6 @ ( the_carrier @ sk__5 ) )
| ~ ( below @ sk__5 @ sk__7 @ sk__6 ) ),
inference('sup+',[status(thm)],[zip_derived_cl598,zip_derived_cl430]) ).
thf(zip_derived_cl32_018,plain,
element @ sk__6 @ ( the_carrier @ sk__5 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl30,plain,
below @ sk__5 @ sk__7 @ sk__6,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl986,plain,
sk__7 = sk__6,
inference(demod,[status(thm)],[zip_derived_cl984,zip_derived_cl32,zip_derived_cl30]) ).
thf(zip_derived_cl29,plain,
sk__6 != sk__7,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl987,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl986,zip_derived_cl29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SEU305+2 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.10 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ASynxclG8Y true
% 0.10/0.29 % Computer : n032.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % WCLimit : 300
% 0.10/0.29 % DateTime : Thu Aug 24 01:21:11 EDT 2023
% 0.10/0.29 % CPUTime :
% 0.10/0.29 % Running portfolio for 300 s
% 0.10/0.29 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.29 % Number of cores: 8
% 0.10/0.29 % Python version: Python 3.6.8
% 0.10/0.29 % Running in FO mode
% 0.14/0.51 % Total configuration time : 435
% 0.14/0.51 % Estimated wc time : 1092
% 0.14/0.51 % Estimated cpu time (7 cpus) : 156.0
% 0.14/0.58 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.14/0.59 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.14/0.59 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.14/0.59 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.14/0.59 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.14/0.59 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.14/0.62 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 2.60/0.84 % Solved by fo/fo4.sh.
% 2.60/0.84 % done 277 iterations in 0.193s
% 2.60/0.84 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 2.60/0.84 % SZS output start Refutation
% See solution above
% 2.60/0.84
% 2.60/0.84
% 2.60/0.84 % Terminating...
% 2.81/0.92 % Runner terminated.
% 2.81/0.93 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------