TSTP Solution File: SWC003+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC003+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.BOA594Okj2 true
% Computer : n011.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 21:28:24 EDT 2023
% Result : Theorem 1.31s 0.92s
% Output : Refutation 1.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 20
% Syntax : Number of formulae : 72 ( 24 unt; 15 typ; 0 def)
% Number of atoms : 162 ( 49 equ; 0 cnn)
% Maximal formula atoms : 24 ( 2 avg)
% Number of connectives : 429 ( 70 ~; 66 |; 18 &; 254 @)
% ( 1 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 12 ( 12 >; 0 *; 0 +; 0 <<)
% Number of symbols : 17 ( 15 usr; 9 con; 0-2 aty)
% Number of variables : 40 ( 0 ^; 32 !; 8 ?; 40 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__13_type,type,
sk__13: $i ).
thf(sk__12_type,type,
sk__12: $i ).
thf(ssItem_type,type,
ssItem: $i > $o ).
thf(geq_type,type,
geq: $i > $i > $o ).
thf(nil_type,type,
nil: $i ).
thf(app_type,type,
app: $i > $i > $i ).
thf(ssList_type,type,
ssList: $i > $o ).
thf(sk__15_type,type,
sk__15: $i ).
thf(neq_type,type,
neq: $i > $i > $o ).
thf(sk__17_type,type,
sk__17: $i ).
thf(sk__11_type,type,
sk__11: $i ).
thf(cons_type,type,
cons: $i > $i > $i ).
thf(sk__14_type,type,
sk__14: $i ).
thf(sk__16_type,type,
sk__16: $i ).
thf(memberP_type,type,
memberP: $i > $i > $o ).
thf(ax16,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssItem @ V )
=> ( ssList @ ( cons @ V @ U ) ) ) ) ).
thf(zip_derived_cl19,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ( ssList @ ( cons @ X0 @ X1 ) )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax16]) ).
thf(ax15,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ( ( neq @ U @ V )
<=> ( U != V ) ) ) ) ).
thf(zip_derived_cl18,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ( X1 = X0 )
| ( neq @ X1 @ X0 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(co1,conjecture,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ! [W: $i] :
( ( ssList @ W )
=> ! [X: $i] :
( ( ssList @ X )
=> ( ( V != X )
| ( U != W )
| ( ( ~ ( neq @ V @ nil )
| ? [Y: $i] :
( ? [Z: $i] :
( ? [X1: $i] :
( ( neq @ Z @ nil )
& ( ( app @ Y @ X1 )
= U )
& ( ( app @ ( app @ Y @ Z ) @ X1 )
= V )
& ( ssList @ X1 ) )
& ( ssList @ Z ) )
& ( ssList @ Y ) )
| ! [X2: $i] :
( ( ssItem @ X2 )
=> ! [X3: $i] :
( ( ssList @ X3 )
=> ! [X4: $i] :
( ( ssList @ X4 )
=> ( ( ( app @ ( app @ X3 @ ( cons @ X2 @ nil ) ) @ X4 )
!= X )
| ( ( app @ X3 @ X4 )
!= W )
| ? [X5: $i] :
( ( geq @ X5 @ X2 )
& ( memberP @ X @ X5 )
& ( X2 != X5 )
& ( ssItem @ X5 ) ) ) ) ) ) )
& ( ~ ( neq @ V @ nil )
| ( neq @ X @ nil ) ) ) ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ! [W: $i] :
( ( ssList @ W )
=> ! [X: $i] :
( ( ssList @ X )
=> ( ( V != X )
| ( U != W )
| ( ( ~ ( neq @ V @ nil )
| ? [Y: $i] :
( ? [Z: $i] :
( ? [X1: $i] :
( ( neq @ Z @ nil )
& ( ( app @ Y @ X1 )
= U )
& ( ( app @ ( app @ Y @ Z ) @ X1 )
= V )
& ( ssList @ X1 ) )
& ( ssList @ Z ) )
& ( ssList @ Y ) )
| ! [X2: $i] :
( ( ssItem @ X2 )
=> ! [X3: $i] :
( ( ssList @ X3 )
=> ! [X4: $i] :
( ( ssList @ X4 )
=> ( ( ( app @ ( app @ X3 @ ( cons @ X2 @ nil ) ) @ X4 )
!= X )
| ( ( app @ X3 @ X4 )
!= W )
| ? [X5: $i] :
( ( geq @ X5 @ X2 )
& ( memberP @ X @ X5 )
& ( X2 != X5 )
& ( ssItem @ X5 ) ) ) ) ) ) )
& ( ~ ( neq @ V @ nil )
| ( neq @ X @ nil ) ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[co1]) ).
thf(zip_derived_cl76,plain,
( ( ( app @ ( app @ sk__16 @ ( cons @ sk__15 @ nil ) ) @ sk__17 )
= sk__14 )
| ~ ( neq @ sk__14 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl83,plain,
sk__12 = sk__14,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl83_001,plain,
sk__12 = sk__14,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl67,plain,
( ( neq @ sk__12 @ nil )
| ( neq @ sk__12 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl772,plain,
neq @ sk__12 @ nil,
inference(simplify,[status(thm)],[zip_derived_cl67]) ).
thf(zip_derived_cl2134,plain,
( ( app @ ( app @ sk__16 @ ( cons @ sk__15 @ nil ) ) @ sk__17 )
= sk__12 ),
inference(demod,[status(thm)],[zip_derived_cl76,zip_derived_cl83,zip_derived_cl83,zip_derived_cl772]) ).
thf(zip_derived_cl70,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssList @ X0 )
| ~ ( ssList @ X1 )
| ( ( app @ ( app @ X0 @ X2 ) @ X1 )
!= sk__12 )
| ( ( app @ X0 @ X1 )
!= sk__11 )
| ~ ( neq @ X2 @ nil )
| ~ ( ssList @ X2 )
| ~ ( neq @ sk__14 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl83_002,plain,
sk__12 = sk__14,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl772_003,plain,
neq @ sk__12 @ nil,
inference(simplify,[status(thm)],[zip_derived_cl67]) ).
thf(zip_derived_cl2063,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssList @ X0 )
| ~ ( ssList @ X1 )
| ( ( app @ ( app @ X0 @ X2 ) @ X1 )
!= sk__12 )
| ( ( app @ X0 @ X1 )
!= sk__11 )
| ~ ( neq @ X2 @ nil )
| ~ ( ssList @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl70,zip_derived_cl83,zip_derived_cl772]) ).
thf(zip_derived_cl2153,plain,
( ( sk__12 != sk__12 )
| ~ ( ssList @ ( cons @ sk__15 @ nil ) )
| ~ ( neq @ ( cons @ sk__15 @ nil ) @ nil )
| ( ( app @ sk__16 @ sk__17 )
!= sk__11 )
| ~ ( ssList @ sk__17 )
| ~ ( ssList @ sk__16 ) ),
inference('sup-',[status(thm)],[zip_derived_cl2134,zip_derived_cl2063]) ).
thf(zip_derived_cl78,plain,
( ( ( app @ sk__16 @ sk__17 )
= sk__13 )
| ~ ( neq @ sk__14 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl66,plain,
sk__11 = sk__13,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl83_004,plain,
sk__12 = sk__14,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl698,plain,
( ( ( app @ sk__16 @ sk__17 )
= sk__11 )
| ~ ( neq @ sk__12 @ nil ) ),
inference(demod,[status(thm)],[zip_derived_cl78,zip_derived_cl66,zip_derived_cl83]) ).
thf(zip_derived_cl77,plain,
( ( ( app @ sk__16 @ sk__17 )
= sk__13 )
| ( neq @ sk__12 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl66_005,plain,
sk__11 = sk__13,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl641,plain,
( ( ( app @ sk__16 @ sk__17 )
= sk__11 )
| ( neq @ sk__12 @ nil ) ),
inference(demod,[status(thm)],[zip_derived_cl77,zip_derived_cl66]) ).
thf(zip_derived_cl699,plain,
( ( app @ sk__16 @ sk__17 )
= sk__11 ),
inference(clc,[status(thm)],[zip_derived_cl698,zip_derived_cl641]) ).
thf(zip_derived_cl73,plain,
( ( ssList @ sk__17 )
| ( neq @ sk__12 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl74,plain,
( ( ssList @ sk__17 )
| ~ ( neq @ sk__14 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl83_006,plain,
sk__12 = sk__14,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl613,plain,
( ( ssList @ sk__17 )
| ~ ( neq @ sk__12 @ nil ) ),
inference(demod,[status(thm)],[zip_derived_cl74,zip_derived_cl83]) ).
thf(zip_derived_cl629,plain,
ssList @ sk__17,
inference(clc,[status(thm)],[zip_derived_cl73,zip_derived_cl613]) ).
thf(zip_derived_cl81,plain,
( ( ssList @ sk__16 )
| ( neq @ sk__12 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl82,plain,
( ( ssList @ sk__16 )
| ~ ( neq @ sk__14 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl83_007,plain,
sk__12 = sk__14,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl614,plain,
( ( ssList @ sk__16 )
| ~ ( neq @ sk__12 @ nil ) ),
inference(demod,[status(thm)],[zip_derived_cl82,zip_derived_cl83]) ).
thf(zip_derived_cl630,plain,
ssList @ sk__16,
inference(clc,[status(thm)],[zip_derived_cl81,zip_derived_cl614]) ).
thf(zip_derived_cl2179,plain,
( ( sk__12 != sk__12 )
| ~ ( ssList @ ( cons @ sk__15 @ nil ) )
| ~ ( neq @ ( cons @ sk__15 @ nil ) @ nil )
| ( sk__11 != sk__11 ) ),
inference(demod,[status(thm)],[zip_derived_cl2153,zip_derived_cl699,zip_derived_cl629,zip_derived_cl630]) ).
thf(zip_derived_cl2180,plain,
( ~ ( neq @ ( cons @ sk__15 @ nil ) @ nil )
| ~ ( ssList @ ( cons @ sk__15 @ nil ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl2179]) ).
thf(zip_derived_cl2184,plain,
( ~ ( ssList @ ( cons @ sk__15 @ nil ) )
| ( ( cons @ sk__15 @ nil )
= nil )
| ~ ( ssList @ nil )
| ~ ( ssList @ ( cons @ sk__15 @ nil ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl18,zip_derived_cl2180]) ).
thf(ax17,axiom,
ssList @ nil ).
thf(zip_derived_cl20,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl2185,plain,
( ~ ( ssList @ ( cons @ sk__15 @ nil ) )
| ( ( cons @ sk__15 @ nil )
= nil )
| ~ ( ssList @ ( cons @ sk__15 @ nil ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2184,zip_derived_cl20]) ).
thf(zip_derived_cl2186,plain,
( ( ( cons @ sk__15 @ nil )
= nil )
| ~ ( ssList @ ( cons @ sk__15 @ nil ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl2185]) ).
thf(zip_derived_cl2207,plain,
( ~ ( ssList @ nil )
| ~ ( ssItem @ sk__15 )
| ( ( cons @ sk__15 @ nil )
= nil ) ),
inference('sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl2186]) ).
thf(zip_derived_cl20_008,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl71,plain,
( ( ssItem @ sk__15 )
| ( neq @ sk__12 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl72,plain,
( ( ssItem @ sk__15 )
| ~ ( neq @ sk__14 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl83_009,plain,
sk__12 = sk__14,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl612,plain,
( ( ssItem @ sk__15 )
| ~ ( neq @ sk__12 @ nil ) ),
inference(demod,[status(thm)],[zip_derived_cl72,zip_derived_cl83]) ).
thf(zip_derived_cl628,plain,
ssItem @ sk__15,
inference(clc,[status(thm)],[zip_derived_cl71,zip_derived_cl612]) ).
thf(zip_derived_cl2209,plain,
( ( cons @ sk__15 @ nil )
= nil ),
inference(demod,[status(thm)],[zip_derived_cl2207,zip_derived_cl20,zip_derived_cl628]) ).
thf(ax18,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssItem @ V )
=> ( ( cons @ V @ U )
!= U ) ) ) ).
thf(zip_derived_cl21,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ( ( cons @ X0 @ X1 )
!= X1 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax18]) ).
thf(zip_derived_cl2223,plain,
( ( nil != nil )
| ~ ( ssList @ nil )
| ~ ( ssItem @ sk__15 ) ),
inference('sup-',[status(thm)],[zip_derived_cl2209,zip_derived_cl21]) ).
thf(zip_derived_cl20_010,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl628_011,plain,
ssItem @ sk__15,
inference(clc,[status(thm)],[zip_derived_cl71,zip_derived_cl612]) ).
thf(zip_derived_cl2249,plain,
nil != nil,
inference(demod,[status(thm)],[zip_derived_cl2223,zip_derived_cl20,zip_derived_cl628]) ).
thf(zip_derived_cl2250,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl2249]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SWC003+1 : TPTP v8.1.2. Released v2.4.0.
% 0.11/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.BOA594Okj2 true
% 0.13/0.35 % Computer : n011.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 28 15:12:40 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.20/0.62 % Total configuration time : 435
% 0.20/0.62 % Estimated wc time : 1092
% 0.20/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.72 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.31/0.92 % Solved by fo/fo3_bce.sh.
% 1.31/0.92 % BCE start: 86
% 1.31/0.92 % BCE eliminated: 1
% 1.31/0.92 % PE start: 85
% 1.31/0.92 logic: eq
% 1.31/0.92 % PE eliminated: 0
% 1.31/0.92 % done 289 iterations in 0.176s
% 1.31/0.92 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.31/0.92 % SZS output start Refutation
% See solution above
% 1.31/0.92
% 1.31/0.92
% 1.31/0.92 % Terminating...
% 1.58/0.99 % Runner terminated.
% 1.58/0.99 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------