TSTP Solution File: RNG108+4 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : RNG108+4 : 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.2tMAPyXvAK true
% Computer : n002.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 14:06:57 EDT 2023
% Result : Theorem 1.34s 0.81s
% Output : Refutation 1.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 14
% Syntax : Number of formulae : 51 ( 11 unt; 8 typ; 0 def)
% Number of atoms : 149 ( 60 equ; 0 cnn)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 436 ( 105 ~; 74 |; 17 &; 225 @)
% ( 0 <=>; 2 =>; 13 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 50 ( 0 ^; 42 !; 8 ?; 50 :)
% Comments :
%------------------------------------------------------------------------------
thf(sdtasdt0_type,type,
sdtasdt0: $i > $i > $i ).
thf(aElement0_type,type,
aElement0: $i > $o ).
thf(sz10_type,type,
sz10: $i ).
thf(xa_type,type,
xa: $i ).
thf(sz00_type,type,
sz00: $i ).
thf(slsdtgt0_type,type,
slsdtgt0: $i > $i ).
thf(aElementOf0_type,type,
aElementOf0: $i > $i > $o ).
thf(xb_type,type,
xb: $i ).
thf(mMulUnit,axiom,
! [W0: $i] :
( ( aElement0 @ W0 )
=> ( ( ( sdtasdt0 @ W0 @ sz10 )
= W0 )
& ( W0
= ( sdtasdt0 @ sz10 @ W0 ) ) ) ) ).
thf(zip_derived_cl14,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ X0 @ sz10 )
= X0 )
| ~ ( aElement0 @ X0 ) ),
inference(cnf,[status(esa)],[mMulUnit]) ).
thf(m__,conjecture,
( ( ( aElementOf0 @ sz00 @ ( slsdtgt0 @ xa ) )
| ? [W0: $i] :
( ( ( sdtasdt0 @ xa @ W0 )
= sz00 )
& ( aElement0 @ W0 ) ) )
& ( ( aElementOf0 @ xa @ ( slsdtgt0 @ xa ) )
| ? [W0: $i] :
( ( ( sdtasdt0 @ xa @ W0 )
= xa )
& ( aElement0 @ W0 ) ) )
& ( ( aElementOf0 @ sz00 @ ( slsdtgt0 @ xb ) )
| ? [W0: $i] :
( ( ( sdtasdt0 @ xb @ W0 )
= sz00 )
& ( aElement0 @ W0 ) ) )
& ( ( aElementOf0 @ xb @ ( slsdtgt0 @ xb ) )
| ? [W0: $i] :
( ( ( sdtasdt0 @ xb @ W0 )
= xb )
& ( aElement0 @ W0 ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ( ( aElementOf0 @ sz00 @ ( slsdtgt0 @ xa ) )
| ? [W0: $i] :
( ( ( sdtasdt0 @ xa @ W0 )
= sz00 )
& ( aElement0 @ W0 ) ) )
& ( ( aElementOf0 @ xa @ ( slsdtgt0 @ xa ) )
| ? [W0: $i] :
( ( ( sdtasdt0 @ xa @ W0 )
= xa )
& ( aElement0 @ W0 ) ) )
& ( ( aElementOf0 @ sz00 @ ( slsdtgt0 @ xb ) )
| ? [W0: $i] :
( ( ( sdtasdt0 @ xb @ W0 )
= sz00 )
& ( aElement0 @ W0 ) ) )
& ( ( aElementOf0 @ xb @ ( slsdtgt0 @ xb ) )
| ? [W0: $i] :
( ( ( sdtasdt0 @ xb @ W0 )
= xb )
& ( aElement0 @ W0 ) ) ) ),
inference('cnf.neg',[status(esa)],[m__]) ).
thf(zip_derived_cl135,plain,
! [X0: $i,X1: $i] :
( ~ ( aElementOf0 @ sz00 @ ( slsdtgt0 @ xa ) )
| ~ ( aElement0 @ X0 )
| ( ( sdtasdt0 @ xa @ X0 )
!= xa )
| ~ ( aElementOf0 @ sz00 @ ( slsdtgt0 @ xb ) )
| ( ( sdtasdt0 @ xb @ X1 )
!= xb )
| ~ ( aElement0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl156,plain,
( ! [X1: $i] :
( ~ ( aElement0 @ X1 )
| ( ( sdtasdt0 @ xb @ X1 )
!= xb ) )
<= ! [X1: $i] :
( ~ ( aElement0 @ X1 )
| ( ( sdtasdt0 @ xb @ X1 )
!= xb ) ) ),
inference(split,[status(esa)],[zip_derived_cl135]) ).
thf(zip_derived_cl461,plain,
( ( ~ ( aElement0 @ xb )
| ~ ( aElement0 @ sz10 )
| ( xb != xb ) )
<= ! [X1: $i] :
( ~ ( aElement0 @ X1 )
| ( ( sdtasdt0 @ xb @ X1 )
!= xb ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl156]) ).
thf(m__2091,axiom,
( ( aElement0 @ xb )
& ( aElement0 @ xa ) ) ).
thf(zip_derived_cl94,plain,
aElement0 @ xb,
inference(cnf,[status(esa)],[m__2091]) ).
thf(mSortsC_01,axiom,
aElement0 @ sz10 ).
thf(zip_derived_cl2,plain,
aElement0 @ sz10,
inference(cnf,[status(esa)],[mSortsC_01]) ).
thf(zip_derived_cl475,plain,
( ( xb != xb )
<= ! [X1: $i] :
( ~ ( aElement0 @ X1 )
| ( ( sdtasdt0 @ xb @ X1 )
!= xb ) ) ),
inference(demod,[status(thm)],[zip_derived_cl461,zip_derived_cl94,zip_derived_cl2]) ).
thf(zip_derived_cl476,plain,
( $false
<= ! [X1: $i] :
( ~ ( aElement0 @ X1 )
| ( ( sdtasdt0 @ xb @ X1 )
!= xb ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl475]) ).
thf(mMulZero,axiom,
! [W0: $i] :
( ( aElement0 @ W0 )
=> ( ( ( sdtasdt0 @ W0 @ sz00 )
= sz00 )
& ( sz00
= ( sdtasdt0 @ sz00 @ W0 ) ) ) ) ).
thf(zip_derived_cl20,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ X0 @ sz00 )
= sz00 )
| ~ ( aElement0 @ X0 ) ),
inference(cnf,[status(esa)],[mMulZero]) ).
thf(zip_derived_cl142,plain,
! [X0: $i,X3: $i] :
( ~ ( aElement0 @ X3 )
| ( ( sdtasdt0 @ xa @ X3 )
!= sz00 )
| ~ ( aElement0 @ X0 )
| ( ( sdtasdt0 @ xa @ X0 )
!= xa )
| ~ ( aElementOf0 @ sz00 @ ( slsdtgt0 @ xb ) )
| ~ ( aElementOf0 @ xb @ ( slsdtgt0 @ xb ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl184,plain,
( ! [X3: $i] :
( ~ ( aElement0 @ X3 )
| ( ( sdtasdt0 @ xa @ X3 )
!= sz00 ) )
<= ! [X3: $i] :
( ~ ( aElement0 @ X3 )
| ( ( sdtasdt0 @ xa @ X3 )
!= sz00 ) ) ),
inference(split,[status(esa)],[zip_derived_cl142]) ).
thf(zip_derived_cl253,plain,
( ( ~ ( aElement0 @ xa )
| ~ ( aElement0 @ sz00 )
| ( sz00 != sz00 ) )
<= ! [X3: $i] :
( ~ ( aElement0 @ X3 )
| ( ( sdtasdt0 @ xa @ X3 )
!= sz00 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl184]) ).
thf(zip_derived_cl95,plain,
aElement0 @ xa,
inference(cnf,[status(esa)],[m__2091]) ).
thf(mSortsC,axiom,
aElement0 @ sz00 ).
thf(zip_derived_cl1,plain,
aElement0 @ sz00,
inference(cnf,[status(esa)],[mSortsC]) ).
thf(zip_derived_cl259,plain,
( ( sz00 != sz00 )
<= ! [X3: $i] :
( ~ ( aElement0 @ X3 )
| ( ( sdtasdt0 @ xa @ X3 )
!= sz00 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl253,zip_derived_cl95,zip_derived_cl1]) ).
thf('0',plain,
~ ! [X3: $i] :
( ~ ( aElement0 @ X3 )
| ( ( sdtasdt0 @ xa @ X3 )
!= sz00 ) ),
inference(simplify,[status(thm)],[zip_derived_cl259]) ).
thf(zip_derived_cl20_001,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ X0 @ sz00 )
= sz00 )
| ~ ( aElement0 @ X0 ) ),
inference(cnf,[status(esa)],[mMulZero]) ).
thf(zip_derived_cl136,plain,
! [X0: $i,X2: $i] :
( ~ ( aElementOf0 @ sz00 @ ( slsdtgt0 @ xa ) )
| ~ ( aElement0 @ X0 )
| ( ( sdtasdt0 @ xa @ X0 )
!= xa )
| ~ ( aElement0 @ X2 )
| ( ( sdtasdt0 @ xb @ X2 )
!= sz00 )
| ~ ( aElementOf0 @ xb @ ( slsdtgt0 @ xb ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl160,plain,
( ! [X2: $i] :
( ~ ( aElement0 @ X2 )
| ( ( sdtasdt0 @ xb @ X2 )
!= sz00 ) )
<= ! [X2: $i] :
( ~ ( aElement0 @ X2 )
| ( ( sdtasdt0 @ xb @ X2 )
!= sz00 ) ) ),
inference(split,[status(esa)],[zip_derived_cl136]) ).
thf(zip_derived_cl255,plain,
( ( ~ ( aElement0 @ xb )
| ~ ( aElement0 @ sz00 )
| ( sz00 != sz00 ) )
<= ! [X2: $i] :
( ~ ( aElement0 @ X2 )
| ( ( sdtasdt0 @ xb @ X2 )
!= sz00 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl160]) ).
thf(zip_derived_cl94_002,plain,
aElement0 @ xb,
inference(cnf,[status(esa)],[m__2091]) ).
thf(zip_derived_cl1_003,plain,
aElement0 @ sz00,
inference(cnf,[status(esa)],[mSortsC]) ).
thf(zip_derived_cl262,plain,
( ( sz00 != sz00 )
<= ! [X2: $i] :
( ~ ( aElement0 @ X2 )
| ( ( sdtasdt0 @ xb @ X2 )
!= sz00 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl255,zip_derived_cl94,zip_derived_cl1]) ).
thf('1',plain,
~ ! [X2: $i] :
( ~ ( aElement0 @ X2 )
| ( ( sdtasdt0 @ xb @ X2 )
!= sz00 ) ),
inference(simplify,[status(thm)],[zip_derived_cl262]) ).
thf(zip_derived_cl14_004,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ X0 @ sz10 )
= X0 )
| ~ ( aElement0 @ X0 ) ),
inference(cnf,[status(esa)],[mMulUnit]) ).
thf(zip_derived_cl134,plain,
! [X0: $i] :
( ~ ( aElementOf0 @ sz00 @ ( slsdtgt0 @ xa ) )
| ~ ( aElement0 @ X0 )
| ( ( sdtasdt0 @ xa @ X0 )
!= xa )
| ~ ( aElementOf0 @ sz00 @ ( slsdtgt0 @ xb ) )
| ~ ( aElementOf0 @ xb @ ( slsdtgt0 @ xb ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl152,plain,
( ! [X0: $i] :
( ~ ( aElement0 @ X0 )
| ( ( sdtasdt0 @ xa @ X0 )
!= xa ) )
<= ! [X0: $i] :
( ~ ( aElement0 @ X0 )
| ( ( sdtasdt0 @ xa @ X0 )
!= xa ) ) ),
inference(split,[status(esa)],[zip_derived_cl134]) ).
thf(zip_derived_cl460,plain,
( ( ~ ( aElement0 @ xa )
| ~ ( aElement0 @ sz10 )
| ( xa != xa ) )
<= ! [X0: $i] :
( ~ ( aElement0 @ X0 )
| ( ( sdtasdt0 @ xa @ X0 )
!= xa ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl152]) ).
thf(zip_derived_cl95_005,plain,
aElement0 @ xa,
inference(cnf,[status(esa)],[m__2091]) ).
thf(zip_derived_cl2_006,plain,
aElement0 @ sz10,
inference(cnf,[status(esa)],[mSortsC_01]) ).
thf(zip_derived_cl473,plain,
( ( xa != xa )
<= ! [X0: $i] :
( ~ ( aElement0 @ X0 )
| ( ( sdtasdt0 @ xa @ X0 )
!= xa ) ) ),
inference(demod,[status(thm)],[zip_derived_cl460,zip_derived_cl95,zip_derived_cl2]) ).
thf('2',plain,
~ ! [X0: $i] :
( ~ ( aElement0 @ X0 )
| ( ( sdtasdt0 @ xa @ X0 )
!= xa ) ),
inference(simplify,[status(thm)],[zip_derived_cl473]) ).
thf(zip_derived_cl145,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( aElement0 @ X3 )
| ( ( sdtasdt0 @ xa @ X3 )
!= sz00 )
| ~ ( aElement0 @ X0 )
| ( ( sdtasdt0 @ xa @ X0 )
!= xa )
| ~ ( aElement0 @ X2 )
| ( ( sdtasdt0 @ xb @ X2 )
!= sz00 )
| ( ( sdtasdt0 @ xb @ X1 )
!= xb )
| ~ ( aElement0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('3',plain,
( ! [X1: $i] :
( ~ ( aElement0 @ X1 )
| ( ( sdtasdt0 @ xb @ X1 )
!= xb ) )
| ! [X0: $i] :
( ~ ( aElement0 @ X0 )
| ( ( sdtasdt0 @ xa @ X0 )
!= xa ) )
| ! [X2: $i] :
( ~ ( aElement0 @ X2 )
| ( ( sdtasdt0 @ xb @ X2 )
!= sz00 ) )
| ! [X3: $i] :
( ~ ( aElement0 @ X3 )
| ( ( sdtasdt0 @ xa @ X3 )
!= sz00 ) ) ),
inference(split,[status(esa)],[zip_derived_cl145]) ).
thf('4',plain,
! [X1: $i] :
( ~ ( aElement0 @ X1 )
| ( ( sdtasdt0 @ xb @ X1 )
!= xb ) ),
inference('sat_resolution*',[status(thm)],['0','1','2','3']) ).
thf(zip_derived_cl477,plain,
$false,
inference(simpl_trail,[status(thm)],[zip_derived_cl476,'4']) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : RNG108+4 : 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.2tMAPyXvAK true
% 0.13/0.35 % Computer : n002.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 : Sun Aug 27 02:00:33 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
% 0.13/0.36 % Python version: Python 3.6.8
% 0.13/0.36 % Running in FO mode
% 0.21/0.65 % Total configuration time : 435
% 0.21/0.65 % Estimated wc time : 1092
% 0.21/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 1.07/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.07/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.07/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.07/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.07/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.07/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.34/0.81 % Solved by fo/fo1_av.sh.
% 1.34/0.81 % done 150 iterations in 0.051s
% 1.34/0.81 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.34/0.81 % SZS output start Refutation
% See solution above
% 1.34/0.81
% 1.34/0.81
% 1.34/0.81 % Terminating...
% 1.34/0.85 % Runner terminated.
% 1.34/0.87 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------