%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : COM018+4 : 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.UQoL8aW5z2 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 Oct 2 04:30:35 PM UTC 2025
% Result : Theorem 0.48s 0.82s
% Output : Refutation 0.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 18 ( 7 unt; 0 typ; 0 def)
% Number of atoms : 100 ( 18 equ; 0 cnn)
% Maximal formula atoms : 30 ( 5 avg)
% Number of connectives : 288 ( 28 ~; 38 |; 39 &; 178 @)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 14 usr; 5 con; 0-3 aty)
% Number of variables : 33 ( 0 ^; 20 !; 13 ?; 33 :)
% Comments :
%------------------------------------------------------------------------------
thf(aElement0_type,type,
aElement0: $i > $o ).
thf(xw_type,type,
xw: $i ).
thf(aNormalFormOfIn0_type,type,
aNormalFormOfIn0: $i > $i > $i > $o ).
thf(isTerminating0_type,type,
isTerminating0: $i > $o ).
thf(aRewritingSystem0_type,type,
aRewritingSystem0: $i > $o ).
thf(xv_type,type,
xv: $i ).
thf(sk__12_type,type,
sk__12: $i > $i > $i ).
thf(sdtmndtasgtdt0_type,type,
sdtmndtasgtdt0: $i > $i > $i > $o ).
thf(iLess0_type,type,
iLess0: $i > $i > $o ).
thf(isLocallyConfluent0_type,type,
isLocallyConfluent0: $i > $o ).
thf(aReductOfIn0_type,type,
aReductOfIn0: $i > $i > $i > $o ).
thf(xR_type,type,
xR: $i ).
thf(sdtmndtplgtdt0_type,type,
sdtmndtplgtdt0: $i > $i > $i > $o ).
thf(xu_type,type,
xu: $i ).
thf(m__799,axiom,
( ( sdtmndtasgtdt0 @ xv @ xR @ xw )
& ( ( ( sdtmndtplgtdt0 @ xv @ xR @ xw )
& ( ? [W0: $i] :
( ( sdtmndtplgtdt0 @ W0 @ xR @ xw )
& ( aReductOfIn0 @ W0 @ xv @ xR )
& ( aElement0 @ W0 ) )
| ( aReductOfIn0 @ xw @ xv @ xR ) ) )
| ( xv = xw ) )
& ( sdtmndtasgtdt0 @ xu @ xR @ xw )
& ( ( ( sdtmndtplgtdt0 @ xu @ xR @ xw )
& ( ? [W0: $i] :
( ( sdtmndtplgtdt0 @ W0 @ xR @ xw )
& ( aReductOfIn0 @ W0 @ xu @ xR )
& ( aElement0 @ W0 ) )
| ( aReductOfIn0 @ xw @ xu @ xR ) ) )
| ( xu = xw ) )
& ( aElement0 @ xw ) ) ).
thf(zip_derived_cl111,plain,
aElement0 @ xw,
inference(cnf,[status(esa)],[m__799]) ).
thf(m__656_01,axiom,
( ( isTerminating0 @ xR )
& ! [W0: $i,W1: $i] :
( ( ( aElement0 @ W0 )
& ( aElement0 @ W1 ) )
=> ( ( ( aReductOfIn0 @ W1 @ W0 @ xR )
| ? [W2: $i] :
( ( sdtmndtplgtdt0 @ W2 @ xR @ W1 )
& ( aReductOfIn0 @ W2 @ W0 @ xR )
& ( aElement0 @ W2 ) )
| ( sdtmndtplgtdt0 @ W0 @ xR @ W1 ) )
=> ( iLess0 @ W1 @ W0 ) ) )
& ( isLocallyConfluent0 @ xR )
& ! [W0: $i,W1: $i,W2: $i] :
( ( ( aElement0 @ W0 )
& ( aElement0 @ W1 )
& ( aElement0 @ W2 )
& ( aReductOfIn0 @ W1 @ W0 @ xR )
& ( aReductOfIn0 @ W2 @ W0 @ xR ) )
=> ? [W3: $i] :
( ( sdtmndtasgtdt0 @ W2 @ xR @ W3 )
& ( ( ( sdtmndtplgtdt0 @ W2 @ xR @ W3 )
& ( ? [W4: $i] :
( ( sdtmndtplgtdt0 @ W4 @ xR @ W3 )
& ( aReductOfIn0 @ W4 @ W2 @ xR )
& ( aElement0 @ W4 ) )
| ( aReductOfIn0 @ W3 @ W2 @ xR ) ) )
| ( W2 = W3 ) )
& ( sdtmndtasgtdt0 @ W1 @ xR @ W3 )
& ( ( ( sdtmndtplgtdt0 @ W1 @ xR @ W3 )
& ( ? [W4: $i] :
( ( sdtmndtplgtdt0 @ W4 @ xR @ W3 )
& ( aReductOfIn0 @ W4 @ W1 @ xR )
& ( aElement0 @ W4 ) )
| ( aReductOfIn0 @ W3 @ W1 @ xR ) ) )
| ( W1 = W3 ) )
& ( aElement0 @ W3 ) ) ) ) ).
thf(zip_derived_cl59,plain,
isTerminating0 @ xR,
inference(cnf,[status(esa)],[m__656_01]) ).
thf(mTermNF,axiom,
! [W0: $i] :
( ( ( aRewritingSystem0 @ W0 )
& ( isTerminating0 @ W0 ) )
=> ! [W1: $i] :
( ( aElement0 @ W1 )
=> ? [W2: $i] : ( aNormalFormOfIn0 @ W2 @ W1 @ W0 ) ) ) ).
thf(zip_derived_cl42,plain,
! [X0: $i,X1: $i] :
( ~ ( aElement0 @ X0 )
| ( aNormalFormOfIn0 @ ( sk__12 @ X0 @ X1 ) @ X0 @ X1 )
| ~ ( isTerminating0 @ X1 )
| ~ ( aRewritingSystem0 @ X1 ) ),
inference(cnf,[status(esa)],[mTermNF]) ).
thf(m__,conjecture,
? [W0: $i] :
( ( aNormalFormOfIn0 @ W0 @ xw @ xR )
| ( ~ ? [W1: $i] : ( aReductOfIn0 @ W1 @ W0 @ xR )
& ( ( sdtmndtasgtdt0 @ xw @ xR @ W0 )
| ( sdtmndtplgtdt0 @ xw @ xR @ W0 )
| ? [W1: $i] :
( ( sdtmndtplgtdt0 @ W1 @ xR @ W0 )
& ( aReductOfIn0 @ W1 @ xw @ xR )
& ( aElement0 @ W1 ) )
| ( aReductOfIn0 @ W0 @ xw @ xR )
| ( xw = W0 ) )
& ( aElement0 @ W0 ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ? [W0: $i] :
( ( aNormalFormOfIn0 @ W0 @ xw @ xR )
| ( ~ ? [W1: $i] : ( aReductOfIn0 @ W1 @ W0 @ xR )
& ( ( sdtmndtasgtdt0 @ xw @ xR @ W0 )
| ( sdtmndtplgtdt0 @ xw @ xR @ W0 )
| ? [W1: $i] :
( ( sdtmndtplgtdt0 @ W1 @ xR @ W0 )
& ( aReductOfIn0 @ W1 @ xw @ xR )
& ( aElement0 @ W1 ) )
| ( aReductOfIn0 @ W0 @ xw @ xR )
| ( xw = W0 ) )
& ( aElement0 @ W0 ) ) ),
inference('cnf.neg',[status(esa)],[m__]) ).
thf(zip_derived_cl127,plain,
! [X2: $i] :
~ ( aNormalFormOfIn0 @ X2 @ xw @ xR ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl976,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( sk__12 @ X0 @ X1 )
!= X2 )
| ( X0 != xw )
| ( X1 != xR )
| ~ ( aRewritingSystem0 @ X1 )
| ~ ( isTerminating0 @ X1 )
| ~ ( aElement0 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl42,zip_derived_cl127]) ).
thf(zip_derived_cl1019,plain,
! [X0: $i,X1: $i] :
( ~ ( aElement0 @ X0 )
| ~ ( aRewritingSystem0 @ xR )
| ( xR != xR )
| ( X0 != xw )
| ( ( sk__12 @ X0 @ xR )
!= X1 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl59,zip_derived_cl976]) ).
thf(zip_derived_cl1354,plain,
! [X0: $i,X1: $i] :
( ( ( sk__12 @ X0 @ xR )
!= X1 )
| ( X0 != xw )
| ~ ( aRewritingSystem0 @ xR )
| ~ ( aElement0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1019]) ).
thf(m__656,axiom,
aRewritingSystem0 @ xR ).
thf(zip_derived_cl43,plain,
aRewritingSystem0 @ xR,
inference(cnf,[status(esa)],[m__656]) ).
thf(zip_derived_cl1355,plain,
! [X0: $i,X1: $i] :
( ( ( sk__12 @ X0 @ xR )
!= X1 )
| ( X0 != xw )
| ~ ( aElement0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1354,zip_derived_cl43]) ).
thf(zip_derived_cl1356,plain,
! [X0: $i] :
( ~ ( aElement0 @ X0 )
| ( X0 != xw ) ),
inference(eq_res,[status(thm)],[zip_derived_cl1355]) ).
thf(zip_derived_cl1369,plain,
xw != xw,
inference('sup-',[status(thm)],[zip_derived_cl111,zip_derived_cl1356]) ).
thf(zip_derived_cl1370,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl1369]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : COM018+4 : TPTP v9.2.0. Released v4.0.0.
% 0.05/0.11 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.UQoL8aW5z2 true
% 0.11/0.31 % Computer : n002.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Wed Oct 1 13:49:08 EDT 2025
% 0.11/0.31 % CPUTime :
% 0.11/0.31 % Running portfolio for 300 s
% 0.11/0.31 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.31 % Number of cores: 8
% 0.16/0.31 % Python version: Python 3.6.8
% 0.16/0.32 % Running in FO mode
% 0.46/0.56 % Total configuration time : 435
% 0.46/0.56 % Estimated wc time : 1092
% 0.46/0.56 % Estimated cpu time (7 cpus) : 156.0
% 0.47/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.47/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.47/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.47/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.47/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.48/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.48/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.48/0.82 % Solved by fo/fo3_bce.sh.
% 0.48/0.82 % BCE start: 128
% 0.48/0.82 % BCE eliminated: 0
% 0.48/0.82 % PE start: 128
% 0.48/0.82 logic: eq
% 0.48/0.82 % PE eliminated: -45
% 0.48/0.82 % done 29 iterations in 0.115s
% 0.48/0.82 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.48/0.82 % SZS output start Refutation
% See solution above
% 0.48/0.82
% 0.48/0.82
% 0.48/0.82 % Terminating...
% 0.53/0.89 % Runner terminated.
% 0.53/0.90 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------