TSTP Solution File: RNG126+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : RNG126+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.O5NICii0nu true
% Computer : n023.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 14:07:05 EDT 2023
% Result : Theorem 3.81s 1.14s
% Output : Refutation 3.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 32
% Syntax : Number of formulae : 75 ( 27 unt; 20 typ; 0 def)
% Number of atoms : 122 ( 10 equ; 0 cnn)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 337 ( 43 ~; 37 |; 15 &; 227 @)
% ( 4 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 24 ( 24 >; 0 *; 0 +; 0 <<)
% Number of symbols : 22 ( 20 usr; 7 con; 0-3 aty)
% Number of variables : 40 ( 0 ^; 39 !; 1 ?; 40 :)
% Comments :
%------------------------------------------------------------------------------
thf(sdtasdt0_type,type,
sdtasdt0: $i > $i > $i ).
thf(aElement0_type,type,
aElement0: $i > $o ).
thf(sdtpldt1_type,type,
sdtpldt1: $i > $i > $i ).
thf(aDivisorOf0_type,type,
aDivisorOf0: $i > $i > $o ).
thf(sbrdtbr0_type,type,
sbrdtbr0: $i > $i ).
thf(xa_type,type,
xa: $i ).
thf(sz00_type,type,
sz00: $i ).
thf(sdtpldt0_type,type,
sdtpldt0: $i > $i > $i ).
thf(slsdtgt0_type,type,
slsdtgt0: $i > $i ).
thf(aIdeal0_type,type,
aIdeal0: $i > $o ).
thf(aGcdOfAnd0_type,type,
aGcdOfAnd0: $i > $i > $i > $o ).
thf(iLess0_type,type,
iLess0: $i > $i > $o ).
thf(xc_type,type,
xc: $i ).
thf(doDivides0_type,type,
doDivides0: $i > $i > $o ).
thf(sk__15_type,type,
sk__15: $i > $i > $i ).
thf(aElementOf0_type,type,
aElementOf0: $i > $i > $o ).
thf(xu_type,type,
xu: $i ).
thf(aSet0_type,type,
aSet0: $i > $o ).
thf(xb_type,type,
xb: $i ).
thf(xI_type,type,
xI: $i ).
thf(m__2744,axiom,
doDivides0 @ xu @ xc ).
thf(zip_derived_cl111,plain,
doDivides0 @ xu @ xc,
inference(cnf,[status(esa)],[m__2744]) ).
thf(mDefDiv,axiom,
! [W0: $i,W1: $i] :
( ( ( aElement0 @ W0 )
& ( aElement0 @ W1 ) )
=> ( ( doDivides0 @ W0 @ W1 )
<=> ? [W2: $i] :
( ( ( sdtasdt0 @ W0 @ W2 )
= W1 )
& ( aElement0 @ W2 ) ) ) ) ).
thf(zip_derived_cl72,plain,
! [X0: $i,X1: $i] :
( ~ ( aElement0 @ X0 )
| ~ ( aElement0 @ X1 )
| ( ( sdtasdt0 @ X0 @ ( sk__15 @ X1 @ X0 ) )
= X1 )
| ~ ( doDivides0 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mDefDiv]) ).
thf(zip_derived_cl581,plain,
( ~ ( aElement0 @ xu )
| ~ ( aElement0 @ xc )
| ( ( sdtasdt0 @ xu @ ( sk__15 @ xc @ xu ) )
= xc ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl111,zip_derived_cl72]) ).
thf(m__2273,axiom,
( ! [W0: $i] :
( ( ( aElementOf0 @ W0 @ xI )
& ( W0 != sz00 ) )
=> ~ ( iLess0 @ ( sbrdtbr0 @ W0 ) @ ( sbrdtbr0 @ xu ) ) )
& ( xu != sz00 )
& ( aElementOf0 @ xu @ xI ) ) ).
thf(zip_derived_cl106,plain,
aElementOf0 @ xu @ xI,
inference(cnf,[status(esa)],[m__2273]) ).
thf(mEOfElem,axiom,
! [W0: $i] :
( ( aSet0 @ W0 )
=> ! [W1: $i] :
( ( aElementOf0 @ W1 @ W0 )
=> ( aElement0 @ W1 ) ) ) ).
thf(zip_derived_cl25,plain,
! [X0: $i,X1: $i] :
( ~ ( aElementOf0 @ X0 @ X1 )
| ( aElement0 @ X0 )
| ~ ( aSet0 @ X1 ) ),
inference(cnf,[status(esa)],[mEOfElem]) ).
thf(zip_derived_cl121,plain,
( ( aElement0 @ xu )
| ~ ( aSet0 @ xI ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl106,zip_derived_cl25]) ).
thf(m__2174,axiom,
( ( xI
= ( sdtpldt1 @ ( slsdtgt0 @ xa ) @ ( slsdtgt0 @ xb ) ) )
& ( aIdeal0 @ xI ) ) ).
thf(zip_derived_cl99,plain,
aIdeal0 @ xI,
inference(cnf,[status(esa)],[m__2174]) ).
thf(mDefIdeal,axiom,
! [W0: $i] :
( ( aIdeal0 @ W0 )
<=> ( ( aSet0 @ W0 )
& ! [W1: $i] :
( ( aElementOf0 @ W1 @ W0 )
=> ( ! [W2: $i] :
( ( aElementOf0 @ W2 @ W0 )
=> ( aElementOf0 @ ( sdtpldt0 @ W1 @ W2 ) @ W0 ) )
& ! [W2: $i] :
( ( aElement0 @ W2 )
=> ( aElementOf0 @ ( sdtasdt0 @ W2 @ W1 ) @ W0 ) ) ) ) ) ) ).
thf(zip_derived_cl47,plain,
! [X0: $i] :
( ( aSet0 @ X0 )
| ~ ( aIdeal0 @ X0 ) ),
inference(cnf,[status(esa)],[mDefIdeal]) ).
thf(zip_derived_cl115,plain,
aSet0 @ xI,
inference('s_sup-',[status(thm)],[zip_derived_cl99,zip_derived_cl47]) ).
thf(zip_derived_cl127,plain,
aElement0 @ xu,
inference(demod,[status(thm)],[zip_derived_cl121,zip_derived_cl115]) ).
thf(m__2129,axiom,
aGcdOfAnd0 @ xc @ xa @ xb ).
thf(zip_derived_cl97,plain,
aGcdOfAnd0 @ xc @ xa @ xb,
inference(cnf,[status(esa)],[m__2129]) ).
thf(mDefGCD,axiom,
! [W0: $i,W1: $i] :
( ( ( aElement0 @ W0 )
& ( aElement0 @ W1 ) )
=> ! [W2: $i] :
( ( aGcdOfAnd0 @ W2 @ W0 @ W1 )
<=> ( ( aDivisorOf0 @ W2 @ W0 )
& ( aDivisorOf0 @ W2 @ W1 )
& ! [W3: $i] :
( ( ( aDivisorOf0 @ W3 @ W0 )
& ( aDivisorOf0 @ W3 @ W1 ) )
=> ( doDivides0 @ W3 @ W2 ) ) ) ) ) ).
thf(zip_derived_cl78,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aElement0 @ X0 )
| ~ ( aElement0 @ X1 )
| ( aDivisorOf0 @ X2 @ X0 )
| ~ ( aGcdOfAnd0 @ X2 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mDefGCD]) ).
thf(zip_derived_cl279,plain,
( ~ ( aElement0 @ xa )
| ~ ( aElement0 @ xb )
| ( aDivisorOf0 @ xc @ xa ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl97,zip_derived_cl78]) ).
thf(m__2091,axiom,
( ( aElement0 @ xb )
& ( aElement0 @ xa ) ) ).
thf(zip_derived_cl95,plain,
aElement0 @ xa,
inference(cnf,[status(esa)],[m__2091]) ).
thf(zip_derived_cl94,plain,
aElement0 @ xb,
inference(cnf,[status(esa)],[m__2091]) ).
thf(zip_derived_cl280,plain,
aDivisorOf0 @ xc @ xa,
inference(demod,[status(thm)],[zip_derived_cl279,zip_derived_cl95,zip_derived_cl94]) ).
thf(mDefDvs,axiom,
! [W0: $i] :
( ( aElement0 @ W0 )
=> ! [W1: $i] :
( ( aDivisorOf0 @ W1 @ W0 )
<=> ( ( aElement0 @ W1 )
& ( doDivides0 @ W1 @ W0 ) ) ) ) ).
thf(zip_derived_cl77,plain,
! [X0: $i,X1: $i] :
( ~ ( aDivisorOf0 @ X0 @ X1 )
| ( aElement0 @ X0 )
| ~ ( aElement0 @ X1 ) ),
inference(cnf,[status(esa)],[mDefDvs]) ).
thf(zip_derived_cl292,plain,
( ( aElement0 @ xc )
| ~ ( aElement0 @ xa ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl280,zip_derived_cl77]) ).
thf(zip_derived_cl95_001,plain,
aElement0 @ xa,
inference(cnf,[status(esa)],[m__2091]) ).
thf(zip_derived_cl294,plain,
aElement0 @ xc,
inference(demod,[status(thm)],[zip_derived_cl292,zip_derived_cl95]) ).
thf(zip_derived_cl586,plain,
( ( sdtasdt0 @ xu @ ( sk__15 @ xc @ xu ) )
= xc ),
inference(demod,[status(thm)],[zip_derived_cl581,zip_derived_cl127,zip_derived_cl294]) ).
thf(mMulComm,axiom,
! [W0: $i,W1: $i] :
( ( ( aElement0 @ W0 )
& ( aElement0 @ W1 ) )
=> ( ( sdtasdt0 @ W0 @ W1 )
= ( sdtasdt0 @ W1 @ W0 ) ) ) ).
thf(zip_derived_cl12,plain,
! [X0: $i,X1: $i] :
( ~ ( aElement0 @ X0 )
| ~ ( aElement0 @ X1 )
| ( ( sdtasdt0 @ X0 @ X1 )
= ( sdtasdt0 @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[mMulComm]) ).
thf(zip_derived_cl106_002,plain,
aElementOf0 @ xu @ xI,
inference(cnf,[status(esa)],[m__2273]) ).
thf(zip_derived_cl48,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aElementOf0 @ X0 @ X1 )
| ( aElementOf0 @ ( sdtasdt0 @ X2 @ X0 ) @ X1 )
| ~ ( aElement0 @ X2 )
| ~ ( aIdeal0 @ X1 ) ),
inference(cnf,[status(esa)],[mDefIdeal]) ).
thf(zip_derived_cl514,plain,
! [X0: $i] :
( ( aElementOf0 @ ( sdtasdt0 @ X0 @ xu ) @ xI )
| ~ ( aElement0 @ X0 )
| ~ ( aIdeal0 @ xI ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl106,zip_derived_cl48]) ).
thf(zip_derived_cl99_003,plain,
aIdeal0 @ xI,
inference(cnf,[status(esa)],[m__2174]) ).
thf(zip_derived_cl526,plain,
! [X0: $i] :
( ( aElementOf0 @ ( sdtasdt0 @ X0 @ xu ) @ xI )
| ~ ( aElement0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl514,zip_derived_cl99]) ).
thf(zip_derived_cl2059,plain,
! [X0: $i] :
( ~ ( aElement0 @ xu )
| ~ ( aElement0 @ X0 )
| ( aElementOf0 @ ( sdtasdt0 @ xu @ X0 ) @ xI )
| ~ ( aElement0 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl12,zip_derived_cl526]) ).
thf(zip_derived_cl127_004,plain,
aElement0 @ xu,
inference(demod,[status(thm)],[zip_derived_cl121,zip_derived_cl115]) ).
thf(zip_derived_cl2065,plain,
! [X0: $i] :
( ~ ( aElement0 @ X0 )
| ( aElementOf0 @ ( sdtasdt0 @ xu @ X0 ) @ xI )
| ~ ( aElement0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl2059,zip_derived_cl127]) ).
thf(zip_derived_cl2066,plain,
! [X0: $i] :
( ( aElementOf0 @ ( sdtasdt0 @ xu @ X0 ) @ xI )
| ~ ( aElement0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2065]) ).
thf(zip_derived_cl2390,plain,
( ( aElementOf0 @ xc @ xI )
| ~ ( aElement0 @ ( sk__15 @ xc @ xu ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl586,zip_derived_cl2066]) ).
thf(m__,conjecture,
aElementOf0 @ xc @ ( sdtpldt1 @ ( slsdtgt0 @ xa ) @ ( slsdtgt0 @ xb ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( aElementOf0 @ xc @ ( sdtpldt1 @ ( slsdtgt0 @ xa ) @ ( slsdtgt0 @ xb ) ) ),
inference('cnf.neg',[status(esa)],[m__]) ).
thf(zip_derived_cl112,plain,
~ ( aElementOf0 @ xc @ ( sdtpldt1 @ ( slsdtgt0 @ xa ) @ ( slsdtgt0 @ xb ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl98,plain,
( xI
= ( sdtpldt1 @ ( slsdtgt0 @ xa ) @ ( slsdtgt0 @ xb ) ) ),
inference(cnf,[status(esa)],[m__2174]) ).
thf(zip_derived_cl113,plain,
~ ( aElementOf0 @ xc @ xI ),
inference(demod,[status(thm)],[zip_derived_cl112,zip_derived_cl98]) ).
thf(zip_derived_cl111_005,plain,
doDivides0 @ xu @ xc,
inference(cnf,[status(esa)],[m__2744]) ).
thf(zip_derived_cl73,plain,
! [X0: $i,X1: $i] :
( ~ ( aElement0 @ X0 )
| ~ ( aElement0 @ X1 )
| ( aElement0 @ ( sk__15 @ X1 @ X0 ) )
| ~ ( doDivides0 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mDefDiv]) ).
thf(zip_derived_cl397,plain,
( ~ ( aElement0 @ xu )
| ~ ( aElement0 @ xc )
| ( aElement0 @ ( sk__15 @ xc @ xu ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl111,zip_derived_cl73]) ).
thf(zip_derived_cl127_006,plain,
aElement0 @ xu,
inference(demod,[status(thm)],[zip_derived_cl121,zip_derived_cl115]) ).
thf(zip_derived_cl294_007,plain,
aElement0 @ xc,
inference(demod,[status(thm)],[zip_derived_cl292,zip_derived_cl95]) ).
thf(zip_derived_cl402,plain,
aElement0 @ ( sk__15 @ xc @ xu ),
inference(demod,[status(thm)],[zip_derived_cl397,zip_derived_cl127,zip_derived_cl294]) ).
thf(zip_derived_cl2402,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl2390,zip_derived_cl113,zip_derived_cl402]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : RNG126+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.O5NICii0nu true
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % 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 : Sun Aug 27 01:47:26 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/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
% 0.55/0.64 % Total configuration time : 435
% 0.55/0.64 % Estimated wc time : 1092
% 0.55/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.58/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.58/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.58/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 3.81/1.14 % Solved by fo/fo13.sh.
% 3.81/1.14 % done 433 iterations in 0.355s
% 3.81/1.14 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 3.81/1.14 % SZS output start Refutation
% See solution above
% 3.81/1.14
% 3.81/1.14
% 3.81/1.14 % Terminating...
% 4.04/1.24 % Runner terminated.
% 4.04/1.25 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------