TSTP Solution File: NUM857+2 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM857+2 : 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.fwpRFvxbh3 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 12:44:34 EDT 2023
% Result : Theorem 0.50s 0.82s
% Output : Refutation 0.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 32
% Syntax : Number of formulae : 55 ( 35 unt; 7 typ; 0 def)
% Number of atoms : 70 ( 23 equ; 0 cnn)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 241 ( 27 ~; 18 |; 2 &; 192 @)
% ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 44 ( 0 ^; 44 !; 0 ?; 44 :)
% Comments :
%------------------------------------------------------------------------------
thf(vd527_type,type,
vd527: $i ).
thf(vd529_type,type,
vd529: $i ).
thf(vd530_type,type,
vd530: $i ).
thf(vd526_type,type,
vd526: $i ).
thf(vmul_type,type,
vmul: $i > $i > $i ).
thf(geq_type,type,
geq: $i > $i > $o ).
thf(greater_type,type,
greater: $i > $i > $o ).
thf('def(cond(conseq(axiom(3)), 16), 1)',axiom,
! [Vd244: $i,Vd245: $i] :
( ( geq @ Vd245 @ Vd244 )
<=> ( ( greater @ Vd245 @ Vd244 )
| ( Vd245 = Vd244 ) ) ) ).
thf(zip_derived_cl22,plain,
! [X0: $i,X1: $i] :
( ( geq @ X0 @ X1 )
| ( X0 != X1 ) ),
inference(cnf,[status(esa)],[def(cond(conseq(axiom(3)),16),1)]) ).
thf('holds(conseq(323), 532, 0)',conjecture,
geq @ ( vmul @ vd526 @ vd529 ) @ ( vmul @ vd527 @ vd530 ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( geq @ ( vmul @ vd526 @ vd529 ) @ ( vmul @ vd527 @ vd530 ) ),
inference('cnf.neg',[status(esa)],[holds(conseq(323),532,0)]) ).
thf(zip_derived_cl23,plain,
~ ( geq @ ( vmul @ vd526 @ vd529 ) @ ( vmul @ vd527 @ vd530 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl26,plain,
( ( vmul @ vd526 @ vd529 )
!= ( vmul @ vd527 @ vd530 ) ),
inference('sup-',[status(thm)],[zip_derived_cl22,zip_derived_cl23]) ).
thf('ass(cond(270, 0), 0)',axiom,
! [Vd418: $i,Vd419: $i] :
( ( vmul @ Vd418 @ Vd419 )
= ( vmul @ Vd419 @ Vd418 ) ) ).
thf(zip_derived_cl13,plain,
! [X0: $i,X1: $i] :
( ( vmul @ X1 @ X0 )
= ( vmul @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[ass(cond(270,0),0)]) ).
thf(zip_derived_cl13_001,plain,
! [X0: $i,X1: $i] :
( ( vmul @ X1 @ X0 )
= ( vmul @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[ass(cond(270,0),0)]) ).
thf(zip_derived_cl29,plain,
( ( vmul @ vd529 @ vd526 )
!= ( vmul @ vd530 @ vd527 ) ),
inference(demod,[status(thm)],[zip_derived_cl26,zip_derived_cl13,zip_derived_cl13]) ).
thf('holds(conjunct1(antec(323)), 528, 0)',axiom,
geq @ vd526 @ vd527 ).
thf(zip_derived_cl1,plain,
geq @ vd526 @ vd527,
inference(cnf,[status(esa)],[holds(conjunct1(antec(323)),528,0)]) ).
thf(zip_derived_cl20,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ( greater @ X1 @ X0 )
| ~ ( geq @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[def(cond(conseq(axiom(3)),16),1)]) ).
thf(zip_derived_cl57,plain,
( ( greater @ vd526 @ vd527 )
| ( vd526 = vd527 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl20]) ).
thf('ass(cond(318, 0), 0)',axiom,
! [Vd517: $i,Vd518: $i,Vd519: $i,Vd520: $i] :
( ( ( ( greater @ Vd519 @ Vd520 )
& ( geq @ Vd517 @ Vd518 ) )
| ( ( geq @ Vd519 @ Vd520 )
& ( greater @ Vd517 @ Vd518 ) ) )
=> ( greater @ ( vmul @ Vd517 @ Vd519 ) @ ( vmul @ Vd518 @ Vd520 ) ) ) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( greater @ ( vmul @ X0 @ X1 ) @ ( vmul @ X2 @ X3 ) )
| ~ ( greater @ X1 @ X3 )
| ~ ( geq @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[ass(cond(318,0),0)]) ).
thf(zip_derived_cl21,plain,
! [X0: $i,X1: $i] :
( ( geq @ X0 @ X1 )
| ~ ( greater @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[def(cond(conseq(axiom(3)),16),1)]) ).
thf(zip_derived_cl23_002,plain,
~ ( geq @ ( vmul @ vd526 @ vd529 ) @ ( vmul @ vd527 @ vd530 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl27,plain,
~ ( greater @ ( vmul @ vd526 @ vd529 ) @ ( vmul @ vd527 @ vd530 ) ),
inference('sup-',[status(thm)],[zip_derived_cl21,zip_derived_cl23]) ).
thf(zip_derived_cl13_003,plain,
! [X0: $i,X1: $i] :
( ( vmul @ X1 @ X0 )
= ( vmul @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[ass(cond(270,0),0)]) ).
thf(zip_derived_cl13_004,plain,
! [X0: $i,X1: $i] :
( ( vmul @ X1 @ X0 )
= ( vmul @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[ass(cond(270,0),0)]) ).
thf(zip_derived_cl30,plain,
~ ( greater @ ( vmul @ vd529 @ vd526 ) @ ( vmul @ vd530 @ vd527 ) ),
inference(demod,[status(thm)],[zip_derived_cl27,zip_derived_cl13,zip_derived_cl13]) ).
thf(zip_derived_cl41,plain,
( ~ ( geq @ vd529 @ vd530 )
| ~ ( greater @ vd526 @ vd527 ) ),
inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl30]) ).
thf('holds(conjunct2(antec(323)), 531, 0)',axiom,
geq @ vd529 @ vd530 ).
thf(zip_derived_cl0,plain,
geq @ vd529 @ vd530,
inference(cnf,[status(esa)],[holds(conjunct2(antec(323)),531,0)]) ).
thf(zip_derived_cl42,plain,
~ ( greater @ vd526 @ vd527 ),
inference(demod,[status(thm)],[zip_derived_cl41,zip_derived_cl0]) ).
thf(zip_derived_cl78,plain,
vd526 = vd527,
inference(clc,[status(thm)],[zip_derived_cl57,zip_derived_cl42]) ).
thf(zip_derived_cl13_005,plain,
! [X0: $i,X1: $i] :
( ( vmul @ X1 @ X0 )
= ( vmul @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[ass(cond(270,0),0)]) ).
thf(zip_derived_cl81,plain,
( ( vmul @ vd527 @ vd529 )
!= ( vmul @ vd530 @ vd527 ) ),
inference(demod,[status(thm)],[zip_derived_cl29,zip_derived_cl78,zip_derived_cl13]) ).
thf(zip_derived_cl0_006,plain,
geq @ vd529 @ vd530,
inference(cnf,[status(esa)],[holds(conjunct2(antec(323)),531,0)]) ).
thf(zip_derived_cl20_007,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ( greater @ X1 @ X0 )
| ~ ( geq @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[def(cond(conseq(axiom(3)),16),1)]) ).
thf(zip_derived_cl58,plain,
( ( greater @ vd529 @ vd530 )
| ( vd529 = vd530 ) ),
inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl20]) ).
thf(zip_derived_cl13_008,plain,
! [X0: $i,X1: $i] :
( ( vmul @ X1 @ X0 )
= ( vmul @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[ass(cond(270,0),0)]) ).
thf(zip_derived_cl2_009,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( greater @ ( vmul @ X0 @ X1 ) @ ( vmul @ X2 @ X3 ) )
| ~ ( greater @ X1 @ X3 )
| ~ ( geq @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[ass(cond(318,0),0)]) ).
thf(zip_derived_cl35,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( greater @ ( vmul @ X3 @ X2 ) @ ( vmul @ X1 @ X0 ) )
| ~ ( geq @ X3 @ X0 )
| ~ ( greater @ X2 @ X1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl13,zip_derived_cl2]) ).
thf(zip_derived_cl30_010,plain,
~ ( greater @ ( vmul @ vd529 @ vd526 ) @ ( vmul @ vd530 @ vd527 ) ),
inference(demod,[status(thm)],[zip_derived_cl27,zip_derived_cl13,zip_derived_cl13]) ).
thf(zip_derived_cl78_011,plain,
vd526 = vd527,
inference(clc,[status(thm)],[zip_derived_cl57,zip_derived_cl42]) ).
thf(zip_derived_cl13_012,plain,
! [X0: $i,X1: $i] :
( ( vmul @ X1 @ X0 )
= ( vmul @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[ass(cond(270,0),0)]) ).
thf(zip_derived_cl82,plain,
~ ( greater @ ( vmul @ vd527 @ vd529 ) @ ( vmul @ vd530 @ vd527 ) ),
inference(demod,[status(thm)],[zip_derived_cl30,zip_derived_cl78,zip_derived_cl13]) ).
thf(zip_derived_cl316,plain,
( ~ ( greater @ vd529 @ vd530 )
| ~ ( geq @ vd527 @ vd527 ) ),
inference('sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl82]) ).
thf(zip_derived_cl1_013,plain,
geq @ vd526 @ vd527,
inference(cnf,[status(esa)],[holds(conjunct1(antec(323)),528,0)]) ).
thf(zip_derived_cl78_014,plain,
vd526 = vd527,
inference(clc,[status(thm)],[zip_derived_cl57,zip_derived_cl42]) ).
thf(zip_derived_cl79,plain,
geq @ vd527 @ vd527,
inference(demod,[status(thm)],[zip_derived_cl1,zip_derived_cl78]) ).
thf(zip_derived_cl323,plain,
~ ( greater @ vd529 @ vd530 ),
inference(demod,[status(thm)],[zip_derived_cl316,zip_derived_cl79]) ).
thf(zip_derived_cl324,plain,
vd529 = vd530,
inference('sup-',[status(thm)],[zip_derived_cl58,zip_derived_cl323]) ).
thf(zip_derived_cl13_015,plain,
! [X0: $i,X1: $i] :
( ( vmul @ X1 @ X0 )
= ( vmul @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[ass(cond(270,0),0)]) ).
thf(zip_derived_cl327,plain,
( ( vmul @ vd530 @ vd527 )
!= ( vmul @ vd530 @ vd527 ) ),
inference(demod,[status(thm)],[zip_derived_cl81,zip_derived_cl324,zip_derived_cl13]) ).
thf(zip_derived_cl328,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl327]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : NUM857+2 : TPTP v8.1.2. Released v4.1.0.
% 0.06/0.12 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.fwpRFvxbh3 true
% 0.11/0.32 % Computer : n023.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Fri Aug 25 13:07:42 EDT 2023
% 0.11/0.32 % CPUTime :
% 0.11/0.32 % Running portfolio for 300 s
% 0.11/0.32 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.32 % Number of cores: 8
% 0.11/0.32 % Python version: Python 3.6.8
% 0.11/0.33 % Running in FO mode
% 0.44/0.59 % Total configuration time : 435
% 0.44/0.59 % Estimated wc time : 1092
% 0.44/0.59 % Estimated cpu time (7 cpus) : 156.0
% 0.49/0.69 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.49/0.69 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.49/0.69 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.49/0.69 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.49/0.69 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.49/0.70 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.49/0.70 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.50/0.82 % Solved by fo/fo4.sh.
% 0.50/0.82 % done 88 iterations in 0.103s
% 0.50/0.82 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.50/0.82 % SZS output start Refutation
% See solution above
% 0.50/0.82
% 0.50/0.82
% 0.50/0.82 % Terminating...
% 0.53/0.91 % Runner terminated.
% 0.53/0.92 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------