%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM466+2 : TPTP v9.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.EDED18YJIW true
% Computer : n001.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 Oct 2 04:47:05 PM UTC 2025
% Result : Theorem 0.57s 0.79s
% Output : Refutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 6
% Syntax : Number of formulae : 58 ( 22 unt; 0 typ; 0 def)
% Number of atoms : 153 ( 36 equ; 0 cnn)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 446 ( 84 ~; 68 |; 20 &; 267 @)
% ( 1 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 56 ( 0 ^; 49 !; 7 ?; 56 :)
% Comments :
%------------------------------------------------------------------------------
thf(xm_type,type,
xm: $i ).
thf(aNaturalNumber0_type,type,
aNaturalNumber0: $i > $o ).
thf(sdtasdt0_type,type,
sdtasdt0: $i > $i > $i ).
thf(doDivides0_type,type,
doDivides0: $i > $i > $o ).
thf(xl_type,type,
xl: $i ).
thf(sk__1_type,type,
sk__1: $i > $i > $i ).
thf(xn_type,type,
xn: $i ).
thf(m__,conjecture,
( ( ? [W0: $i] :
( ( xm
= ( sdtasdt0 @ xl @ W0 ) )
& ( aNaturalNumber0 @ W0 ) )
& ( doDivides0 @ xl @ xm )
& ? [W0: $i] :
( ( xn
= ( sdtasdt0 @ xm @ W0 ) )
& ( aNaturalNumber0 @ W0 ) )
& ( doDivides0 @ xm @ xn ) )
=> ( ? [W0: $i] :
( ( xn
= ( sdtasdt0 @ xl @ W0 ) )
& ( aNaturalNumber0 @ W0 ) )
| ( doDivides0 @ xl @ xn ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ( ? [W0: $i] :
( ( xm
= ( sdtasdt0 @ xl @ W0 ) )
& ( aNaturalNumber0 @ W0 ) )
& ( doDivides0 @ xl @ xm )
& ? [W0: $i] :
( ( xn
= ( sdtasdt0 @ xm @ W0 ) )
& ( aNaturalNumber0 @ W0 ) )
& ( doDivides0 @ xm @ xn ) )
=> ( ? [W0: $i] :
( ( xn
= ( sdtasdt0 @ xl @ W0 ) )
& ( aNaturalNumber0 @ W0 ) )
| ( doDivides0 @ xl @ xn ) ) ),
inference('cnf.neg',[status(esa)],[m__]) ).
thf(zip_derived_cl63,plain,
doDivides0 @ xm @ xn,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(mDefDiv,axiom,
! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( ( doDivides0 @ W0 @ W1 )
<=> ? [W2: $i] :
( ( W1
= ( sdtasdt0 @ W0 @ W2 ) )
& ( aNaturalNumber0 @ W2 ) ) ) ) ).
thf(zip_derived_cl49,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( X1
= ( sdtasdt0 @ X0 @ ( sk__1 @ X1 @ X0 ) ) )
| ~ ( doDivides0 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mDefDiv]) ).
thf(zip_derived_cl460,plain,
( ( xn
= ( sdtasdt0 @ xm @ ( sk__1 @ xn @ xm ) ) )
| ~ ( aNaturalNumber0 @ xn )
| ~ ( aNaturalNumber0 @ xm ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl63,zip_derived_cl49]) ).
thf(m__1218,axiom,
( ( aNaturalNumber0 @ xn )
& ( aNaturalNumber0 @ xm )
& ( aNaturalNumber0 @ xl ) ) ).
thf(zip_derived_cl55,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__1218]) ).
thf(zip_derived_cl56,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1218]) ).
thf(zip_derived_cl481,plain,
( xn
= ( sdtasdt0 @ xm @ ( sk__1 @ xn @ xm ) ) ),
inference(demod,[status(thm)],[zip_derived_cl460,zip_derived_cl55,zip_derived_cl56]) ).
thf(mMulComm,axiom,
! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( ( sdtasdt0 @ W0 @ W1 )
= ( sdtasdt0 @ W1 @ W0 ) ) ) ).
thf(zip_derived_cl10,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( ( sdtasdt0 @ X0 @ X1 )
= ( sdtasdt0 @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[mMulComm]) ).
thf(zip_derived_cl60,plain,
doDivides0 @ xl @ xm,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl49_001,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( X1
= ( sdtasdt0 @ X0 @ ( sk__1 @ X1 @ X0 ) ) )
| ~ ( doDivides0 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mDefDiv]) ).
thf(zip_derived_cl452,plain,
( ( xm
= ( sdtasdt0 @ xl @ ( sk__1 @ xm @ xl ) ) )
| ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ xl ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl60,zip_derived_cl49]) ).
thf(zip_derived_cl56_002,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1218]) ).
thf(zip_derived_cl57,plain,
aNaturalNumber0 @ xl,
inference(cnf,[status(esa)],[m__1218]) ).
thf(zip_derived_cl478,plain,
( xm
= ( sdtasdt0 @ xl @ ( sk__1 @ xm @ xl ) ) ),
inference(demod,[status(thm)],[zip_derived_cl452,zip_derived_cl56,zip_derived_cl57]) ).
thf(zip_derived_cl10_003,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( ( sdtasdt0 @ X0 @ X1 )
= ( sdtasdt0 @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[mMulComm]) ).
thf(mMulAsso,axiom,
! [W0: $i,W1: $i,W2: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 )
& ( aNaturalNumber0 @ W2 ) )
=> ( ( sdtasdt0 @ ( sdtasdt0 @ W0 @ W1 ) @ W2 )
= ( sdtasdt0 @ W0 @ ( sdtasdt0 @ W1 @ W2 ) ) ) ) ).
thf(zip_derived_cl11,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X2 )
| ( ( sdtasdt0 @ ( sdtasdt0 @ X1 @ X0 ) @ X2 )
= ( sdtasdt0 @ X1 @ ( sdtasdt0 @ X0 @ X2 ) ) ) ),
inference(cnf,[status(esa)],[mMulAsso]) ).
thf(zip_derived_cl10_004,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( ( sdtasdt0 @ X0 @ X1 )
= ( sdtasdt0 @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[mMulComm]) ).
thf(zip_derived_cl64,plain,
! [X0: $i] :
( ( xn
!= ( sdtasdt0 @ xl @ X0 ) )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl574,plain,
! [X0: $i] :
( ( xn
!= ( sdtasdt0 @ X0 @ xl ) )
| ~ ( aNaturalNumber0 @ xl )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl64]) ).
thf(zip_derived_cl57_005,plain,
aNaturalNumber0 @ xl,
inference(cnf,[status(esa)],[m__1218]) ).
thf(zip_derived_cl602,plain,
! [X0: $i] :
( ( xn
!= ( sdtasdt0 @ X0 @ xl ) )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl574,zip_derived_cl57]) ).
thf(zip_derived_cl603,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( xn
!= ( sdtasdt0 @ X0 @ xl ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl602]) ).
thf(zip_derived_cl671,plain,
! [X0: $i,X1: $i] :
( ( xn
!= ( sdtasdt0 @ X1 @ ( sdtasdt0 @ X0 @ xl ) ) )
| ~ ( aNaturalNumber0 @ xl )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ X1 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl603]) ).
thf(zip_derived_cl57_006,plain,
aNaturalNumber0 @ xl,
inference(cnf,[status(esa)],[m__1218]) ).
thf(zip_derived_cl710,plain,
! [X0: $i,X1: $i] :
( ( xn
!= ( sdtasdt0 @ X1 @ ( sdtasdt0 @ X0 @ xl ) ) )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ X1 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl671,zip_derived_cl57]) ).
thf(mSortsB_02,axiom,
! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( aNaturalNumber0 @ ( sdtasdt0 @ W0 @ W1 ) ) ) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( aNaturalNumber0 @ ( sdtasdt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mSortsB_02]) ).
thf(zip_derived_cl728,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( xn
!= ( sdtasdt0 @ X1 @ ( sdtasdt0 @ X0 @ xl ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl710,zip_derived_cl5]) ).
thf(zip_derived_cl734,plain,
! [X0: $i,X1: $i] :
( ( xn
!= ( sdtasdt0 @ X1 @ ( sdtasdt0 @ xl @ X0 ) ) )
| ~ ( aNaturalNumber0 @ xl )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl728]) ).
thf(zip_derived_cl57_007,plain,
aNaturalNumber0 @ xl,
inference(cnf,[status(esa)],[m__1218]) ).
thf(zip_derived_cl744,plain,
! [X0: $i,X1: $i] :
( ( xn
!= ( sdtasdt0 @ X1 @ ( sdtasdt0 @ xl @ X0 ) ) )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl734,zip_derived_cl57]) ).
thf(zip_derived_cl745,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X0 )
| ( xn
!= ( sdtasdt0 @ X1 @ ( sdtasdt0 @ xl @ X0 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl744]) ).
thf(zip_derived_cl855,plain,
! [X0: $i] :
( ( xn
!= ( sdtasdt0 @ X0 @ xm ) )
| ~ ( aNaturalNumber0 @ ( sk__1 @ xm @ xl ) )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl478,zip_derived_cl745]) ).
thf(zip_derived_cl60_008,plain,
doDivides0 @ xl @ xm,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl50,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( aNaturalNumber0 @ ( sk__1 @ X1 @ X0 ) )
| ~ ( doDivides0 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mDefDiv]) ).
thf(zip_derived_cl453,plain,
( ( aNaturalNumber0 @ ( sk__1 @ xm @ xl ) )
| ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ xl ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl60,zip_derived_cl50]) ).
thf(zip_derived_cl56_009,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1218]) ).
thf(zip_derived_cl57_010,plain,
aNaturalNumber0 @ xl,
inference(cnf,[status(esa)],[m__1218]) ).
thf(zip_derived_cl482,plain,
aNaturalNumber0 @ ( sk__1 @ xm @ xl ),
inference(demod,[status(thm)],[zip_derived_cl453,zip_derived_cl56,zip_derived_cl57]) ).
thf(zip_derived_cl869,plain,
! [X0: $i] :
( ( xn
!= ( sdtasdt0 @ X0 @ xm ) )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl855,zip_derived_cl482]) ).
thf(zip_derived_cl871,plain,
! [X0: $i] :
( ( xn
!= ( sdtasdt0 @ xm @ X0 ) )
| ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl869]) ).
thf(zip_derived_cl56_011,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1218]) ).
thf(zip_derived_cl877,plain,
! [X0: $i] :
( ( xn
!= ( sdtasdt0 @ xm @ X0 ) )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl871,zip_derived_cl56]) ).
thf(zip_derived_cl878,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( xn
!= ( sdtasdt0 @ xm @ X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl877]) ).
thf(zip_derived_cl891,plain,
( ( xn != xn )
| ~ ( aNaturalNumber0 @ ( sk__1 @ xn @ xm ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl481,zip_derived_cl878]) ).
thf(zip_derived_cl63_012,plain,
doDivides0 @ xm @ xn,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl50_013,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( aNaturalNumber0 @ ( sk__1 @ X1 @ X0 ) )
| ~ ( doDivides0 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mDefDiv]) ).
thf(zip_derived_cl461,plain,
( ( aNaturalNumber0 @ ( sk__1 @ xn @ xm ) )
| ~ ( aNaturalNumber0 @ xn )
| ~ ( aNaturalNumber0 @ xm ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl63,zip_derived_cl50]) ).
thf(zip_derived_cl55_014,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__1218]) ).
thf(zip_derived_cl56_015,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1218]) ).
thf(zip_derived_cl514,plain,
aNaturalNumber0 @ ( sk__1 @ xn @ xm ),
inference(demod,[status(thm)],[zip_derived_cl461,zip_derived_cl55,zip_derived_cl56]) ).
thf(zip_derived_cl901,plain,
xn != xn,
inference(demod,[status(thm)],[zip_derived_cl891,zip_derived_cl514]) ).
thf(zip_derived_cl902,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl901]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : NUM466+2 : TPTP v9.2.0. Released v4.0.0.
% 0.12/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.EDED18YJIW true
% 0.13/0.35 % Computer : n001.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 : Wed Oct 1 16:48:23 EDT 2025
% 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
% 0.13/0.36 % Running in FO mode
% 0.56/0.65 % Total configuration time : 435
% 0.56/0.65 % Estimated wc time : 1092
% 0.56/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.57/0.79 % Solved by fo/fo3_bce.sh.
% 0.57/0.79 % BCE start: 66
% 0.57/0.79 % BCE eliminated: 2
% 0.57/0.79 % PE start: 64
% 0.57/0.79 logic: eq
% 0.57/0.79 % PE eliminated: -9
% 0.57/0.79 % done 91 iterations in 0.053s
% 0.57/0.79 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.57/0.79 % SZS output start Refutation
% See solution above
% 0.57/0.79
% 0.57/0.79
% 0.57/0.79 % Terminating...
% 1.59/0.86 % Runner terminated.
% 1.59/0.87 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------