TSTP Solution File: SEU493^1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU493^1 : TPTP v8.1.2. Released v3.6.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Inmol9ikBk true
% Computer : n010.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 19:13:18 EDT 2023
% Result : Theorem 0.21s 0.80s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 24
% Syntax : Number of formulae : 82 ( 33 unt; 12 typ; 0 def)
% Number of atoms : 154 ( 37 equ; 0 cnn)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 421 ( 43 ~; 53 |; 28 &; 280 @)
% ( 0 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 55 ( 55 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 12 usr; 7 con; 0-3 aty)
% Number of variables : 91 ( 21 ^; 70 !; 0 ?; 91 :)
% Comments :
%------------------------------------------------------------------------------
thf(antisymm_type,type,
antisymm: ( $i > $i > $o ) > $o ).
thf(sk__14_type,type,
sk__14: $i ).
thf(refl_type,type,
refl: ( $i > $i > $o ) > $o ).
thf(sk__15_type,type,
sk__15: $i ).
thf(sk__10_type,type,
sk__10: $i ).
thf(sk__9_type,type,
sk__9: $i > $i > $o ).
thf(sk__13_type,type,
sk__13: $i ).
thf(inv_type,type,
inv: ( $i > $i > $o ) > $i > $i > $o ).
thf(trans_type,type,
trans: ( $i > $i > $o ) > $o ).
thf(po_type,type,
po: ( $i > $i > $o ) > $o ).
thf(sk__12_type,type,
sk__12: $i ).
thf(sk__11_type,type,
sk__11: $i ).
thf(partial_order,axiom,
( po
= ( ^ [R: $i > $i > $o] :
( ( refl @ R )
& ( antisymm @ R )
& ( trans @ R ) ) ) ) ).
thf(transitive,axiom,
( trans
= ( ^ [R: $i > $i > $o] :
! [X: $i,Y: $i,Z: $i] :
( ( ( R @ X @ Y )
& ( R @ Y @ Z ) )
=> ( R @ X @ Z ) ) ) ) ).
thf('0',plain,
( trans
= ( ^ [R: $i > $i > $o] :
! [X: $i,Y: $i,Z: $i] :
( ( ( R @ X @ Y )
& ( R @ Y @ Z ) )
=> ( R @ X @ Z ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[transitive]) ).
thf('1',plain,
( trans
= ( ^ [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(antisymmetric,axiom,
( antisymm
= ( ^ [R: $i > $i > $o] :
! [X: $i,Y: $i] :
( ( ( R @ X @ Y )
& ( R @ Y @ X ) )
=> ( X = Y ) ) ) ) ).
thf('2',plain,
( antisymm
= ( ^ [R: $i > $i > $o] :
! [X: $i,Y: $i] :
( ( ( R @ X @ Y )
& ( R @ Y @ X ) )
=> ( X = Y ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[antisymmetric]) ).
thf('3',plain,
( antisymm
= ( ^ [V_1: $i > $i > $o] :
! [X4: $i,X6: $i] :
( ( ( V_1 @ X4 @ X6 )
& ( V_1 @ X6 @ X4 ) )
=> ( X4 = X6 ) ) ) ),
define([status(thm)]) ).
thf(reflexive,axiom,
( refl
= ( ^ [R: $i > $i > $o] :
! [X: $i] : ( R @ X @ X ) ) ) ).
thf('4',plain,
( refl
= ( ^ [R: $i > $i > $o] :
! [X: $i] : ( R @ X @ X ) ) ),
inference(simplify_rw_rule,[status(thm)],[reflexive]) ).
thf('5',plain,
( refl
= ( ^ [V_1: $i > $i > $o] :
! [X4: $i] : ( V_1 @ X4 @ X4 ) ) ),
define([status(thm)]) ).
thf('6',plain,
( po
= ( ^ [R: $i > $i > $o] :
( ( refl @ R )
& ( antisymm @ R )
& ( trans @ R ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[partial_order,'1','3','5']) ).
thf('7',plain,
( po
= ( ^ [V_1: $i > $i > $o] :
( ( refl @ V_1 )
& ( antisymm @ V_1 )
& ( trans @ V_1 ) ) ) ),
define([status(thm)]) ).
thf(inverse,axiom,
( inv
= ( ^ [R: $i > $i > $o,X: $i,Y: $i] : ( R @ Y @ X ) ) ) ).
thf('8',plain,
( inv
= ( ^ [R: $i > $i > $o,X: $i,Y: $i] : ( R @ Y @ X ) ) ),
inference(simplify_rw_rule,[status(thm)],[inverse]) ).
thf('9',plain,
( inv
= ( ^ [V_1: $i > $i > $o,V_2: $i,V_3: $i] : ( V_1 @ V_3 @ V_2 ) ) ),
define([status(thm)]) ).
thf(inverse_of_partial_order_is_partial_order,conjecture,
! [R: $i > $i > $o] :
( ( po @ R )
=> ( po @ ( inv @ R ) ) ) ).
thf(zf_stmt_0,conjecture,
! [X4: $i > $i > $o] :
( ( ! [X6: $i] : ( X4 @ X6 @ X6 )
& ! [X8: $i,X10: $i] :
( ( ( X4 @ X8 @ X10 )
& ( X4 @ X10 @ X8 ) )
=> ( X8 = X10 ) )
& ! [X12: $i,X14: $i,X16: $i] :
( ( ( X4 @ X12 @ X14 )
& ( X4 @ X14 @ X16 ) )
=> ( X4 @ X12 @ X16 ) ) )
=> ( ! [X18: $i] : ( X4 @ X18 @ X18 )
& ! [X20: $i,X22: $i] :
( ( ( X4 @ X22 @ X20 )
& ( X4 @ X20 @ X22 ) )
=> ( X20 = X22 ) )
& ! [X24: $i,X26: $i,X28: $i] :
( ( ( X4 @ X26 @ X24 )
& ( X4 @ X28 @ X26 ) )
=> ( X4 @ X28 @ X24 ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: $i > $i > $o] :
( ( ! [X6: $i] : ( X4 @ X6 @ X6 )
& ! [X8: $i,X10: $i] :
( ( ( X4 @ X8 @ X10 )
& ( X4 @ X10 @ X8 ) )
=> ( X8 = X10 ) )
& ! [X12: $i,X14: $i,X16: $i] :
( ( ( X4 @ X12 @ X14 )
& ( X4 @ X14 @ X16 ) )
=> ( X4 @ X12 @ X16 ) ) )
=> ( ! [X18: $i] : ( X4 @ X18 @ X18 )
& ! [X20: $i,X22: $i] :
( ( ( X4 @ X22 @ X20 )
& ( X4 @ X20 @ X22 ) )
=> ( X20 = X22 ) )
& ! [X24: $i,X26: $i,X28: $i] :
( ( ( X4 @ X26 @ X24 )
& ( X4 @ X28 @ X26 ) )
=> ( X4 @ X28 @ X24 ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl10,plain,
( ~ ( sk__9 @ sk__10 @ sk__10 )
| ( sk__11 != sk__12 )
| ( sk__9 @ sk__15 @ sk__14 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl0,plain,
! [X0: $i] : ( sk__9 @ X0 @ X0 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl12,plain,
( ( sk__11 != sk__12 )
| ( sk__9 @ sk__15 @ sk__14 ) ),
inference(demod,[status(thm)],[zip_derived_cl10,zip_derived_cl0]) ).
thf(zip_derived_cl2,plain,
! [X3: $i,X4: $i,X5: $i] :
( ~ ( sk__9 @ X3 @ X4 )
| ~ ( sk__9 @ X4 @ X5 )
| ( sk__9 @ X3 @ X5 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl84,plain,
! [X0: $i] :
( ( sk__11 != sk__12 )
| ( sk__9 @ sk__15 @ X0 )
| ~ ( sk__9 @ sk__14 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl2]) ).
thf(zip_derived_cl1,plain,
! [X1: $i,X2: $i] :
( ( X2 = X1 )
| ~ ( sk__9 @ X1 @ X2 )
| ~ ( sk__9 @ X2 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl5,plain,
( ~ ( sk__9 @ sk__10 @ sk__10 )
| ( sk__9 @ sk__12 @ sk__11 )
| ( sk__9 @ sk__14 @ sk__13 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl0_001,plain,
! [X0: $i] : ( sk__9 @ X0 @ X0 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl15,plain,
( ( sk__9 @ sk__12 @ sk__11 )
| ( sk__9 @ sk__14 @ sk__13 ) ),
inference(demod,[status(thm)],[zip_derived_cl5,zip_derived_cl0]) ).
thf(zip_derived_cl4,plain,
( ~ ( sk__9 @ sk__10 @ sk__10 )
| ( sk__9 @ sk__12 @ sk__11 )
| ( sk__9 @ sk__15 @ sk__14 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl0_002,plain,
! [X0: $i] : ( sk__9 @ X0 @ X0 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl14,plain,
( ( sk__9 @ sk__12 @ sk__11 )
| ( sk__9 @ sk__15 @ sk__14 ) ),
inference(demod,[status(thm)],[zip_derived_cl4,zip_derived_cl0]) ).
thf(zip_derived_cl2_003,plain,
! [X3: $i,X4: $i,X5: $i] :
( ~ ( sk__9 @ X3 @ X4 )
| ~ ( sk__9 @ X4 @ X5 )
| ( sk__9 @ X3 @ X5 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl83,plain,
! [X0: $i] :
( ( sk__9 @ sk__12 @ sk__11 )
| ( sk__9 @ sk__15 @ X0 )
| ~ ( sk__9 @ sk__14 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl2]) ).
thf(zip_derived_cl265,plain,
( ( sk__9 @ sk__12 @ sk__11 )
| ( sk__9 @ sk__15 @ sk__13 )
| ( sk__9 @ sk__12 @ sk__11 ) ),
inference('sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl83]) ).
thf(zip_derived_cl273,plain,
( ( sk__9 @ sk__15 @ sk__13 )
| ( sk__9 @ sk__12 @ sk__11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl265]) ).
thf(zip_derived_cl3,plain,
( ~ ( sk__9 @ sk__10 @ sk__10 )
| ( sk__9 @ sk__12 @ sk__11 )
| ~ ( sk__9 @ sk__15 @ sk__13 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl0_004,plain,
! [X0: $i] : ( sk__9 @ X0 @ X0 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl18,plain,
( ( sk__9 @ sk__12 @ sk__11 )
| ~ ( sk__9 @ sk__15 @ sk__13 ) ),
inference(demod,[status(thm)],[zip_derived_cl3,zip_derived_cl0]) ).
thf(zip_derived_cl319,plain,
sk__9 @ sk__12 @ sk__11,
inference(clc,[status(thm)],[zip_derived_cl273,zip_derived_cl18]) ).
thf(zip_derived_cl325,plain,
( ~ ( sk__9 @ sk__11 @ sk__12 )
| ( sk__12 = sk__11 ) ),
inference('sup+',[status(thm)],[zip_derived_cl1,zip_derived_cl319]) ).
thf(zip_derived_cl8,plain,
( ~ ( sk__9 @ sk__10 @ sk__10 )
| ( sk__9 @ sk__11 @ sk__12 )
| ( sk__9 @ sk__14 @ sk__13 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl0_005,plain,
! [X0: $i] : ( sk__9 @ X0 @ X0 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl100,plain,
( ( sk__9 @ sk__11 @ sk__12 )
| ( sk__9 @ sk__14 @ sk__13 ) ),
inference(demod,[status(thm)],[zip_derived_cl8,zip_derived_cl0]) ).
thf(zip_derived_cl7,plain,
( ~ ( sk__9 @ sk__10 @ sk__10 )
| ( sk__9 @ sk__11 @ sk__12 )
| ( sk__9 @ sk__15 @ sk__14 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl0_006,plain,
! [X0: $i] : ( sk__9 @ X0 @ X0 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl16,plain,
( ( sk__9 @ sk__11 @ sk__12 )
| ( sk__9 @ sk__15 @ sk__14 ) ),
inference(demod,[status(thm)],[zip_derived_cl7,zip_derived_cl0]) ).
thf(zip_derived_cl2_007,plain,
! [X3: $i,X4: $i,X5: $i] :
( ~ ( sk__9 @ X3 @ X4 )
| ~ ( sk__9 @ X4 @ X5 )
| ( sk__9 @ X3 @ X5 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl82,plain,
! [X0: $i] :
( ( sk__9 @ sk__11 @ sk__12 )
| ( sk__9 @ sk__15 @ X0 )
| ~ ( sk__9 @ sk__14 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl2]) ).
thf(zip_derived_cl235,plain,
( ( sk__9 @ sk__11 @ sk__12 )
| ( sk__9 @ sk__15 @ sk__13 )
| ( sk__9 @ sk__11 @ sk__12 ) ),
inference('sup-',[status(thm)],[zip_derived_cl100,zip_derived_cl82]) ).
thf(zip_derived_cl245,plain,
( ( sk__9 @ sk__15 @ sk__13 )
| ( sk__9 @ sk__11 @ sk__12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl235]) ).
thf(zip_derived_cl6,plain,
( ~ ( sk__9 @ sk__10 @ sk__10 )
| ( sk__9 @ sk__11 @ sk__12 )
| ~ ( sk__9 @ sk__15 @ sk__13 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl0_008,plain,
! [X0: $i] : ( sk__9 @ X0 @ X0 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl19,plain,
( ( sk__9 @ sk__11 @ sk__12 )
| ~ ( sk__9 @ sk__15 @ sk__13 ) ),
inference(demod,[status(thm)],[zip_derived_cl6,zip_derived_cl0]) ).
thf(zip_derived_cl251,plain,
sk__9 @ sk__11 @ sk__12,
inference(clc,[status(thm)],[zip_derived_cl245,zip_derived_cl19]) ).
thf(zip_derived_cl334,plain,
sk__12 = sk__11,
inference(demod,[status(thm)],[zip_derived_cl325,zip_derived_cl251]) ).
thf(zip_derived_cl352,plain,
! [X0: $i] :
( ( sk__11 != sk__11 )
| ( sk__9 @ sk__15 @ X0 )
| ~ ( sk__9 @ sk__14 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl84,zip_derived_cl334]) ).
thf(zip_derived_cl353,plain,
! [X0: $i] :
( ~ ( sk__9 @ sk__14 @ X0 )
| ( sk__9 @ sk__15 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl352]) ).
thf(zip_derived_cl9,plain,
( ~ ( sk__9 @ sk__10 @ sk__10 )
| ( sk__11 != sk__12 )
| ~ ( sk__9 @ sk__15 @ sk__13 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl0_009,plain,
! [X0: $i] : ( sk__9 @ X0 @ X0 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl17,plain,
( ( sk__11 != sk__12 )
| ~ ( sk__9 @ sk__15 @ sk__13 ) ),
inference(demod,[status(thm)],[zip_derived_cl9,zip_derived_cl0]) ).
thf(zip_derived_cl334_010,plain,
sk__12 = sk__11,
inference(demod,[status(thm)],[zip_derived_cl325,zip_derived_cl251]) ).
thf(zip_derived_cl346,plain,
( ( sk__11 != sk__11 )
| ~ ( sk__9 @ sk__15 @ sk__13 ) ),
inference(demod,[status(thm)],[zip_derived_cl17,zip_derived_cl334]) ).
thf(zip_derived_cl347,plain,
~ ( sk__9 @ sk__15 @ sk__13 ),
inference(simplify,[status(thm)],[zip_derived_cl346]) ).
thf(zip_derived_cl395,plain,
~ ( sk__9 @ sk__14 @ sk__13 ),
inference('sup-',[status(thm)],[zip_derived_cl353,zip_derived_cl347]) ).
thf(zip_derived_cl11,plain,
( ~ ( sk__9 @ sk__10 @ sk__10 )
| ( sk__11 != sk__12 )
| ( sk__9 @ sk__14 @ sk__13 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl0_011,plain,
! [X0: $i] : ( sk__9 @ X0 @ X0 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl13,plain,
( ( sk__11 != sk__12 )
| ( sk__9 @ sk__14 @ sk__13 ) ),
inference(demod,[status(thm)],[zip_derived_cl11,zip_derived_cl0]) ).
thf(zip_derived_cl334_012,plain,
sk__12 = sk__11,
inference(demod,[status(thm)],[zip_derived_cl325,zip_derived_cl251]) ).
thf(zip_derived_cl344,plain,
( ( sk__11 != sk__11 )
| ( sk__9 @ sk__14 @ sk__13 ) ),
inference(demod,[status(thm)],[zip_derived_cl13,zip_derived_cl334]) ).
thf(zip_derived_cl345,plain,
sk__9 @ sk__14 @ sk__13,
inference(simplify,[status(thm)],[zip_derived_cl344]) ).
thf(zip_derived_cl407,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl395,zip_derived_cl345]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SEU493^1 : TPTP v8.1.2. Released v3.6.0.
% 0.12/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Inmol9ikBk true
% 0.14/0.35 % Computer : n010.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
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu Aug 24 01:21:06 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
% 0.21/0.69 % Total configuration time : 828
% 0.21/0.69 % Estimated wc time : 1656
% 0.21/0.69 % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.72 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.78 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.79 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.21/0.79 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.21/0.79 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.21/0.79 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.21/0.79 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.21/0.80 % Solved by lams/40_c.s.sh.
% 0.21/0.80 % done 130 iterations in 0.059s
% 0.21/0.80 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.21/0.80 % SZS output start Refutation
% See solution above
% 0.21/0.80
% 0.21/0.80
% 0.21/0.80 % Terminating...
% 1.75/0.87 % Runner terminated.
% 1.75/0.88 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------