TSTP Solution File: SWC378+1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC378+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.MeL7gAIDf2 true
% Computer : n005.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 21:31:09 EDT 2023
% Result : Theorem 1.29s 1.03s
% Output : Refutation 1.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 13
% Syntax : Number of formulae : 72 ( 28 unt; 11 typ; 0 def)
% Number of atoms : 188 ( 18 equ; 0 cnn)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 520 ( 102 ~; 111 |; 4 &; 291 @)
% ( 1 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 11 usr; 8 con; 0-2 aty)
% Number of variables : 54 ( 0 ^; 54 !; 0 ?; 54 :)
% Comments :
%------------------------------------------------------------------------------
thf(ssItem_type,type,
ssItem: $i > $o ).
thf(sk__7_type,type,
sk__7: $i ).
thf(app_type,type,
app: $i > $i > $i ).
thf(ssList_type,type,
ssList: $i > $o ).
thf(sk__8_type,type,
sk__8: $i ).
thf(sk__9_type,type,
sk__9: $i ).
thf(sk__10_type,type,
sk__10: $i ).
thf(memberP_type,type,
memberP: $i > $i > $o ).
thf(sk__12_type,type,
sk__12: $i ).
thf(sk__11_type,type,
sk__11: $i ).
thf(sk__6_type,type,
sk__6: $i ).
thf(co1,conjecture,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ! [W: $i] :
( ( ssList @ W )
=> ! [X: $i] :
( ! [X1: $i] :
( ( ( memberP @ U @ X1 )
& ( memberP @ V @ X1 ) )
| ( ~ ( memberP @ U @ X1 )
& ~ ( memberP @ V @ X1 ) )
| ~ ( ssItem @ X1 ) )
| ! [Y: $i] :
( ( ssList @ Y )
=> ! [Z: $i] :
( ( ( app @ Z @ Y )
!= W )
| ( ( app @ Y @ Z )
!= X )
| ~ ( ssList @ Z ) ) )
| ( U != W )
| ( V != X )
| ~ ( ssList @ X ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ! [W: $i] :
( ( ssList @ W )
=> ! [X: $i] :
( ! [X1: $i] :
( ( ( memberP @ U @ X1 )
& ( memberP @ V @ X1 ) )
| ( ~ ( memberP @ U @ X1 )
& ~ ( memberP @ V @ X1 ) )
| ~ ( ssItem @ X1 ) )
| ! [Y: $i] :
( ( ssList @ Y )
=> ! [Z: $i] :
( ( ( app @ Z @ Y )
!= W )
| ( ( app @ Y @ Z )
!= X )
| ~ ( ssList @ Z ) ) )
| ( U != W )
| ( V != X )
| ~ ( ssList @ X ) ) ) ) ),
inference('cnf.neg',[status(esa)],[co1]) ).
thf(zip_derived_cl41,plain,
( ( app @ sk__11 @ sk__10 )
= sk__8 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl39,plain,
sk__6 = sk__8,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl49,plain,
( ( app @ sk__11 @ sk__10 )
= sk__6 ),
inference(demod,[status(thm)],[zip_derived_cl41,zip_derived_cl39]) ).
thf(ax36,axiom,
! [U: $i] :
( ( ssItem @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ! [W: $i] :
( ( ssList @ W )
=> ( ( memberP @ ( app @ V @ W ) @ U )
<=> ( ( memberP @ V @ U )
| ( memberP @ W @ U ) ) ) ) ) ) ).
thf(zip_derived_cl19,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssList @ X0 )
| ~ ( memberP @ ( app @ X0 @ X1 ) @ X2 )
| ( memberP @ X0 @ X2 )
| ( memberP @ X1 @ X2 )
| ~ ( ssList @ X1 )
| ~ ( ssItem @ X2 ) ),
inference(cnf,[status(esa)],[ax36]) ).
thf(zip_derived_cl593,plain,
! [X0: $i] :
( ~ ( memberP @ sk__6 @ X0 )
| ~ ( ssItem @ X0 )
| ~ ( ssList @ sk__10 )
| ( memberP @ sk__10 @ X0 )
| ( memberP @ sk__11 @ X0 )
| ~ ( ssList @ sk__11 ) ),
inference('sup-',[status(thm)],[zip_derived_cl49,zip_derived_cl19]) ).
thf(zip_derived_cl40,plain,
ssList @ sk__10,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl43,plain,
ssList @ sk__11,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl601,plain,
! [X0: $i] :
( ~ ( memberP @ sk__6 @ X0 )
| ~ ( ssItem @ X0 )
| ( memberP @ sk__10 @ X0 )
| ( memberP @ sk__11 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl593,zip_derived_cl40,zip_derived_cl43]) ).
thf(zip_derived_cl42,plain,
( ( app @ sk__10 @ sk__11 )
= sk__9 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl44,plain,
sk__7 = sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl50,plain,
( ( app @ sk__10 @ sk__11 )
= sk__7 ),
inference(demod,[status(thm)],[zip_derived_cl42,zip_derived_cl44]) ).
thf(zip_derived_cl21,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssList @ X0 )
| ~ ( memberP @ X1 @ X2 )
| ( memberP @ ( app @ X0 @ X1 ) @ X2 )
| ~ ( ssList @ X1 )
| ~ ( ssItem @ X2 ) ),
inference(cnf,[status(esa)],[ax36]) ).
thf(zip_derived_cl1560,plain,
! [X0: $i] :
( ( memberP @ sk__7 @ X0 )
| ~ ( ssItem @ X0 )
| ~ ( ssList @ sk__11 )
| ~ ( memberP @ sk__11 @ X0 )
| ~ ( ssList @ sk__10 ) ),
inference('sup+',[status(thm)],[zip_derived_cl50,zip_derived_cl21]) ).
thf(zip_derived_cl43_001,plain,
ssList @ sk__11,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl40_002,plain,
ssList @ sk__10,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1568,plain,
! [X0: $i] :
( ( memberP @ sk__7 @ X0 )
| ~ ( ssItem @ X0 )
| ~ ( memberP @ sk__11 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1560,zip_derived_cl43,zip_derived_cl40]) ).
thf(zip_derived_cl1580,plain,
! [X0: $i] :
( ( memberP @ sk__10 @ X0 )
| ~ ( ssItem @ X0 )
| ~ ( memberP @ sk__6 @ X0 )
| ~ ( ssItem @ X0 )
| ( memberP @ sk__7 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl601,zip_derived_cl1568]) ).
thf(zip_derived_cl1588,plain,
! [X0: $i] :
( ( memberP @ sk__7 @ X0 )
| ~ ( memberP @ sk__6 @ X0 )
| ~ ( ssItem @ X0 )
| ( memberP @ sk__10 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1580]) ).
thf(zip_derived_cl50_003,plain,
( ( app @ sk__10 @ sk__11 )
= sk__7 ),
inference(demod,[status(thm)],[zip_derived_cl42,zip_derived_cl44]) ).
thf(zip_derived_cl20,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssList @ X0 )
| ~ ( memberP @ X0 @ X1 )
| ( memberP @ ( app @ X0 @ X2 ) @ X1 )
| ~ ( ssList @ X2 )
| ~ ( ssItem @ X1 ) ),
inference(cnf,[status(esa)],[ax36]) ).
thf(zip_derived_cl1280,plain,
! [X0: $i] :
( ( memberP @ sk__7 @ X0 )
| ~ ( ssItem @ X0 )
| ~ ( ssList @ sk__11 )
| ~ ( memberP @ sk__10 @ X0 )
| ~ ( ssList @ sk__10 ) ),
inference('sup+',[status(thm)],[zip_derived_cl50,zip_derived_cl20]) ).
thf(zip_derived_cl43_004,plain,
ssList @ sk__11,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl40_005,plain,
ssList @ sk__10,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1288,plain,
! [X0: $i] :
( ( memberP @ sk__7 @ X0 )
| ~ ( ssItem @ X0 )
| ~ ( memberP @ sk__10 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1280,zip_derived_cl43,zip_derived_cl40]) ).
thf(zip_derived_cl1961,plain,
! [X0: $i] :
( ~ ( ssItem @ X0 )
| ~ ( memberP @ sk__6 @ X0 )
| ( memberP @ sk__7 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl1588,zip_derived_cl1288]) ).
thf(zip_derived_cl36,plain,
( ~ ( memberP @ sk__6 @ sk__12 )
| ~ ( memberP @ sk__7 @ sk__12 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl37,plain,
( ( memberP @ sk__6 @ sk__12 )
| ( memberP @ sk__7 @ sk__12 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl50_006,plain,
( ( app @ sk__10 @ sk__11 )
= sk__7 ),
inference(demod,[status(thm)],[zip_derived_cl42,zip_derived_cl44]) ).
thf(zip_derived_cl19_007,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssList @ X0 )
| ~ ( memberP @ ( app @ X0 @ X1 ) @ X2 )
| ( memberP @ X0 @ X2 )
| ( memberP @ X1 @ X2 )
| ~ ( ssList @ X1 )
| ~ ( ssItem @ X2 ) ),
inference(cnf,[status(esa)],[ax36]) ).
thf(zip_derived_cl592,plain,
! [X0: $i] :
( ~ ( memberP @ sk__7 @ X0 )
| ~ ( ssItem @ X0 )
| ~ ( ssList @ sk__11 )
| ( memberP @ sk__11 @ X0 )
| ( memberP @ sk__10 @ X0 )
| ~ ( ssList @ sk__10 ) ),
inference('sup-',[status(thm)],[zip_derived_cl50,zip_derived_cl19]) ).
thf(zip_derived_cl43_008,plain,
ssList @ sk__11,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl40_009,plain,
ssList @ sk__10,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl600,plain,
! [X0: $i] :
( ~ ( memberP @ sk__7 @ X0 )
| ~ ( ssItem @ X0 )
| ( memberP @ sk__11 @ X0 )
| ( memberP @ sk__10 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl592,zip_derived_cl43,zip_derived_cl40]) ).
thf(zip_derived_cl49_010,plain,
( ( app @ sk__11 @ sk__10 )
= sk__6 ),
inference(demod,[status(thm)],[zip_derived_cl41,zip_derived_cl39]) ).
thf(zip_derived_cl20_011,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssList @ X0 )
| ~ ( memberP @ X0 @ X1 )
| ( memberP @ ( app @ X0 @ X2 ) @ X1 )
| ~ ( ssList @ X2 )
| ~ ( ssItem @ X1 ) ),
inference(cnf,[status(esa)],[ax36]) ).
thf(zip_derived_cl1281,plain,
! [X0: $i] :
( ( memberP @ sk__6 @ X0 )
| ~ ( ssItem @ X0 )
| ~ ( ssList @ sk__10 )
| ~ ( memberP @ sk__11 @ X0 )
| ~ ( ssList @ sk__11 ) ),
inference('sup+',[status(thm)],[zip_derived_cl49,zip_derived_cl20]) ).
thf(zip_derived_cl40_012,plain,
ssList @ sk__10,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl43_013,plain,
ssList @ sk__11,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1289,plain,
! [X0: $i] :
( ( memberP @ sk__6 @ X0 )
| ~ ( ssItem @ X0 )
| ~ ( memberP @ sk__11 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1281,zip_derived_cl40,zip_derived_cl43]) ).
thf(zip_derived_cl1316,plain,
! [X0: $i] :
( ( memberP @ sk__10 @ X0 )
| ~ ( ssItem @ X0 )
| ~ ( memberP @ sk__7 @ X0 )
| ~ ( ssItem @ X0 )
| ( memberP @ sk__6 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl600,zip_derived_cl1289]) ).
thf(zip_derived_cl1324,plain,
! [X0: $i] :
( ( memberP @ sk__6 @ X0 )
| ~ ( memberP @ sk__7 @ X0 )
| ~ ( ssItem @ X0 )
| ( memberP @ sk__10 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1316]) ).
thf(zip_derived_cl49_014,plain,
( ( app @ sk__11 @ sk__10 )
= sk__6 ),
inference(demod,[status(thm)],[zip_derived_cl41,zip_derived_cl39]) ).
thf(zip_derived_cl21_015,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssList @ X0 )
| ~ ( memberP @ X1 @ X2 )
| ( memberP @ ( app @ X0 @ X1 ) @ X2 )
| ~ ( ssList @ X1 )
| ~ ( ssItem @ X2 ) ),
inference(cnf,[status(esa)],[ax36]) ).
thf(zip_derived_cl1561,plain,
! [X0: $i] :
( ( memberP @ sk__6 @ X0 )
| ~ ( ssItem @ X0 )
| ~ ( ssList @ sk__10 )
| ~ ( memberP @ sk__10 @ X0 )
| ~ ( ssList @ sk__11 ) ),
inference('sup+',[status(thm)],[zip_derived_cl49,zip_derived_cl21]) ).
thf(zip_derived_cl40_016,plain,
ssList @ sk__10,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl43_017,plain,
ssList @ sk__11,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1569,plain,
! [X0: $i] :
( ( memberP @ sk__6 @ X0 )
| ~ ( ssItem @ X0 )
| ~ ( memberP @ sk__10 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1561,zip_derived_cl40,zip_derived_cl43]) ).
thf(zip_derived_cl1677,plain,
! [X0: $i] :
( ~ ( ssItem @ X0 )
| ~ ( memberP @ sk__7 @ X0 )
| ( memberP @ sk__6 @ X0 )
| ~ ( ssItem @ X0 )
| ( memberP @ sk__6 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1324,zip_derived_cl1569]) ).
thf(zip_derived_cl1689,plain,
! [X0: $i] :
( ( memberP @ sk__6 @ X0 )
| ~ ( memberP @ sk__7 @ X0 )
| ~ ( ssItem @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1677]) ).
thf(zip_derived_cl1697,plain,
( ( memberP @ sk__6 @ sk__12 )
| ~ ( ssItem @ sk__12 )
| ( memberP @ sk__6 @ sk__12 ) ),
inference('sup-',[status(thm)],[zip_derived_cl37,zip_derived_cl1689]) ).
thf(zip_derived_cl38,plain,
ssItem @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1705,plain,
( ( memberP @ sk__6 @ sk__12 )
| ( memberP @ sk__6 @ sk__12 ) ),
inference(demod,[status(thm)],[zip_derived_cl1697,zip_derived_cl38]) ).
thf(zip_derived_cl1706,plain,
memberP @ sk__6 @ sk__12,
inference(simplify,[status(thm)],[zip_derived_cl1705]) ).
thf(zip_derived_cl1709,plain,
~ ( memberP @ sk__7 @ sk__12 ),
inference(demod,[status(thm)],[zip_derived_cl36,zip_derived_cl1706]) ).
thf(zip_derived_cl1973,plain,
( ~ ( memberP @ sk__6 @ sk__12 )
| ~ ( ssItem @ sk__12 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1961,zip_derived_cl1709]) ).
thf(zip_derived_cl1706_018,plain,
memberP @ sk__6 @ sk__12,
inference(simplify,[status(thm)],[zip_derived_cl1705]) ).
thf(zip_derived_cl38_019,plain,
ssItem @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1991,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl1973,zip_derived_cl1706,zip_derived_cl38]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SWC378+1 : TPTP v8.1.2. Released v2.4.0.
% 0.11/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.MeL7gAIDf2 true
% 0.14/0.35 % Computer : n005.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 : Mon Aug 28 16:07:08 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
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.22/0.65 % Total configuration time : 435
% 0.22/0.65 % Estimated wc time : 1092
% 0.22/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.29/1.03 % Solved by fo/fo7.sh.
% 1.29/1.03 % done 417 iterations in 0.261s
% 1.29/1.03 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.29/1.03 % SZS output start Refutation
% See solution above
% 1.29/1.03
% 1.29/1.03
% 1.29/1.03 % Terminating...
% 2.59/1.12 % Runner terminated.
% 2.59/1.13 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------