TSTP Solution File: NUM855+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM855+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.RNi9ryBMZS true
% Computer : n008.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 12:44:32 EDT 2023
% Result : Theorem 2.57s 1.07s
% Output : Refutation 2.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 29
% Syntax : Number of formulae : 40 ( 18 unt; 8 typ; 0 def)
% Number of atoms : 53 ( 10 equ; 0 cnn)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 207 ( 14 ~; 16 |; 2 &; 172 @)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 25 ( 0 ^; 25 !; 0 ?; 25 :)
% Comments :
%------------------------------------------------------------------------------
thf(vd509_type,type,
vd509: $i ).
thf(vd511_type,type,
vd511: $i ).
thf(vd512_type,type,
vd512: $i ).
thf(leq_type,type,
leq: $i > $i > $o ).
thf(vd508_type,type,
vd508: $i ).
thf(vmul_type,type,
vmul: $i > $i > $i ).
thf(greater_type,type,
greater: $i > $i > $o ).
thf(less_type,type,
less: $i > $i > $o ).
thf('holds(conjunct1(315), 514, 0)',axiom,
greater @ ( vmul @ vd508 @ vd511 ) @ ( vmul @ vd509 @ vd511 ) ).
thf(zip_derived_cl4,plain,
greater @ ( vmul @ vd508 @ vd511 ) @ ( vmul @ vd509 @ vd511 ),
inference(cnf,[status(esa)],[holds(conjunct1(315),514,0)]) ).
thf('holds(conjunct2(315), 515, 0)',axiom,
( ( vmul @ vd509 @ vd511 )
= ( vmul @ vd511 @ vd509 ) ) ).
thf(zip_derived_cl3,plain,
( ( vmul @ vd509 @ vd511 )
= ( vmul @ vd511 @ vd509 ) ),
inference(cnf,[status(esa)],[holds(conjunct2(315),515,0)]) ).
thf(zip_derived_cl79,plain,
greater @ ( vmul @ vd508 @ vd511 ) @ ( vmul @ vd511 @ vd509 ),
inference(demod,[status(thm)],[zip_derived_cl4,zip_derived_cl3]) ).
thf('ass(cond(140, 0), 0)',axiom,
! [Vd208: $i,Vd209: $i] :
( ( greater @ Vd208 @ Vd209 )
=> ( less @ Vd209 @ Vd208 ) ) ).
thf(zip_derived_cl47,plain,
! [X0: $i,X1: $i] :
( ( less @ X0 @ X1 )
| ~ ( greater @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[ass(cond(140,0),0)]) ).
thf(zip_derived_cl105,plain,
less @ ( vmul @ vd511 @ vd509 ) @ ( vmul @ vd508 @ vd511 ),
inference('sup-',[status(thm)],[zip_derived_cl79,zip_derived_cl47]) ).
thf('ass(cond(goal(130), 0), 0)',axiom,
! [Vd203: $i,Vd204: $i] :
( ( less @ Vd203 @ Vd204 )
| ( greater @ Vd203 @ Vd204 )
| ( Vd203 = Vd204 ) ) ).
thf(zip_derived_cl48,plain,
! [X0: $i,X1: $i] :
( ( less @ X0 @ X1 )
| ( greater @ X0 @ X1 )
| ( X0 = X1 ) ),
inference(cnf,[status(esa)],[ass(cond(goal(130),0),0)]) ).
thf('holds(conseq_conjunct2(315), 516, 0)',conjecture,
greater @ ( vmul @ vd508 @ vd511 ) @ ( vmul @ vd509 @ vd512 ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( greater @ ( vmul @ vd508 @ vd511 ) @ ( vmul @ vd509 @ vd512 ) ),
inference('cnf.neg',[status(esa)],[holds(conseq_conjunct2(315),516,0)]) ).
thf(zip_derived_cl0,plain,
~ ( greater @ ( vmul @ vd508 @ vd511 ) @ ( vmul @ vd509 @ vd512 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('holds(conjunct2(315), 515, 2)',axiom,
( ( vmul @ vd512 @ vd509 )
= ( vmul @ vd509 @ vd512 ) ) ).
thf(zip_derived_cl1,plain,
( ( vmul @ vd512 @ vd509 )
= ( vmul @ vd509 @ vd512 ) ),
inference(cnf,[status(esa)],[holds(conjunct2(315),515,2)]) ).
thf(zip_derived_cl74,plain,
~ ( greater @ ( vmul @ vd508 @ vd511 ) @ ( vmul @ vd512 @ vd509 ) ),
inference(demod,[status(thm)],[zip_derived_cl0,zip_derived_cl1]) ).
thf(zip_derived_cl295,plain,
( ( ( vmul @ vd508 @ vd511 )
= ( vmul @ vd512 @ vd509 ) )
| ( less @ ( vmul @ vd508 @ vd511 ) @ ( vmul @ vd512 @ vd509 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl48,zip_derived_cl74]) ).
thf('def(cond(conseq(axiom(3)), 17), 1)',axiom,
! [Vd249: $i,Vd250: $i] :
( ( leq @ Vd250 @ Vd249 )
<=> ( ( less @ Vd250 @ Vd249 )
| ( Vd250 = Vd249 ) ) ) ).
thf(zip_derived_cl41,plain,
! [X0: $i,X1: $i] :
( ( leq @ X0 @ X1 )
| ~ ( less @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[def(cond(conseq(axiom(3)),17),1)]) ).
thf(zip_derived_cl299,plain,
( ( ( vmul @ vd508 @ vd511 )
= ( vmul @ vd512 @ vd509 ) )
| ( leq @ ( vmul @ vd508 @ vd511 ) @ ( vmul @ vd512 @ vd509 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl295,zip_derived_cl41]) ).
thf(zip_derived_cl42,plain,
! [X0: $i,X1: $i] :
( ( leq @ X0 @ X1 )
| ( X0 != X1 ) ),
inference(cnf,[status(esa)],[def(cond(conseq(axiom(3)),17),1)]) ).
thf(zip_derived_cl360,plain,
leq @ ( vmul @ vd508 @ vd511 ) @ ( vmul @ vd512 @ vd509 ),
inference(clc,[status(thm)],[zip_derived_cl299,zip_derived_cl42]) ).
thf('ass(cond(goal(177), 0), 0)',axiom,
! [Vd281: $i,Vd282: $i,Vd283: $i] :
( ( ( ( less @ Vd282 @ Vd283 )
& ( leq @ Vd281 @ Vd282 ) )
| ( ( leq @ Vd282 @ Vd283 )
& ( less @ Vd281 @ Vd282 ) ) )
=> ( less @ Vd281 @ Vd283 ) ) ).
thf(zip_derived_cl36,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( less @ X0 @ X1 )
| ~ ( leq @ X2 @ X1 )
| ~ ( less @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[ass(cond(goal(177),0),0)]) ).
thf(zip_derived_cl363,plain,
! [X0: $i] :
( ~ ( less @ X0 @ ( vmul @ vd508 @ vd511 ) )
| ( less @ X0 @ ( vmul @ vd512 @ vd509 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl360,zip_derived_cl36]) ).
thf(zip_derived_cl1554,plain,
less @ ( vmul @ vd511 @ vd509 ) @ ( vmul @ vd512 @ vd509 ),
inference('sup-',[status(thm)],[zip_derived_cl105,zip_derived_cl363]) ).
thf('ass(cond(goal(130), 0), 2)',axiom,
! [Vd203: $i,Vd204: $i] :
( ~ ( less @ Vd203 @ Vd204 )
| ~ ( greater @ Vd203 @ Vd204 ) ) ).
thf(zip_derived_cl50,plain,
! [X0: $i,X1: $i] :
( ~ ( less @ X0 @ X1 )
| ~ ( greater @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[ass(cond(goal(130),0),2)]) ).
thf(zip_derived_cl1562,plain,
~ ( greater @ ( vmul @ vd511 @ vd509 ) @ ( vmul @ vd512 @ vd509 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1554,zip_derived_cl50]) ).
thf('holds(conjunct2(315), 515, 1)',axiom,
greater @ ( vmul @ vd511 @ vd509 ) @ ( vmul @ vd512 @ vd509 ) ).
thf(zip_derived_cl2,plain,
greater @ ( vmul @ vd511 @ vd509 ) @ ( vmul @ vd512 @ vd509 ),
inference(cnf,[status(esa)],[holds(conjunct2(315),515,1)]) ).
thf(zip_derived_cl1567,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl1562,zip_derived_cl2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : NUM855+1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.15 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.RNi9ryBMZS true
% 0.19/0.37 % Computer : n008.cluster.edu
% 0.19/0.37 % Model : x86_64 x86_64
% 0.19/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.37 % Memory : 8042.1875MB
% 0.19/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.19/0.37 % CPULimit : 300
% 0.19/0.37 % WCLimit : 300
% 0.19/0.37 % DateTime : Fri Aug 25 14:38:02 EDT 2023
% 0.19/0.37 % CPUTime :
% 0.19/0.37 % Running portfolio for 300 s
% 0.19/0.37 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.37 % Number of cores: 8
% 0.19/0.37 % Python version: Python 3.6.8
% 0.19/0.37 % Running in FO mode
% 0.23/0.68 % Total configuration time : 435
% 0.23/0.68 % Estimated wc time : 1092
% 0.23/0.68 % Estimated cpu time (7 cpus) : 156.0
% 0.23/0.75 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.23/0.76 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.23/0.76 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.23/0.78 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.23/0.78 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.23/0.78 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.23/0.78 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 2.57/1.07 % Solved by fo/fo5.sh.
% 2.57/1.07 % done 470 iterations in 0.243s
% 2.57/1.07 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 2.57/1.07 % SZS output start Refutation
% See solution above
% 2.57/1.07
% 2.57/1.07
% 2.57/1.07 % Terminating...
% 3.29/1.19 % Runner terminated.
% 3.29/1.20 % Zipperpin 1.5 exiting
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