TSTP Solution File: NUM852+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM852+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.D1NNdLi9CW true
% Computer : n018.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 12:44:31 EDT 2023
% Result : Theorem 25.15s 4.24s
% Output : Refutation 25.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 37
% Syntax : Number of formulae : 59 ( 31 unt; 9 typ; 0 def)
% Number of atoms : 71 ( 36 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 292 ( 29 ~; 17 |; 0 &; 242 @)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 12 ( 12 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 77 ( 0 ^; 76 !; 1 ?; 77 :)
% Comments :
%------------------------------------------------------------------------------
thf(vd480_type,type,
vd480: $i ).
thf(vplus_type,type,
vplus: $i > $i > $i ).
thf(vd469_type,type,
vd469: $i ).
thf(vskolem9_type,type,
vskolem9: $i > $i > $i ).
thf(vd481_type,type,
vd481: $i ).
thf(vmul_type,type,
vmul: $i > $i > $i ).
thf(greater_type,type,
greater: $i > $i > $o ).
thf('#_fresh_sk3_type',type,
'#_fresh_sk3': $i > $i > $i ).
thf(less_type,type,
less: $i > $i > $o ).
thf('ass(cond(goal(130), 0), 0)',axiom,
! [Vd203: $i,Vd204: $i] :
( ( less @ Vd203 @ Vd204 )
| ( greater @ Vd203 @ Vd204 )
| ( Vd203 = Vd204 ) ) ).
thf(zip_derived_cl43,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_conjunct1(conseq_conjunct2(conseq(304))), 484, 0)',conjecture,
greater @ ( vmul @ vd481 @ vd469 ) @ ( vmul @ vd480 @ vd469 ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( greater @ ( vmul @ vd481 @ vd469 ) @ ( vmul @ vd480 @ vd469 ) ),
inference('cnf.neg',[status(esa)],[holds(conseq_conjunct1(conseq_conjunct2(conseq(304))),484,0)]) ).
thf(zip_derived_cl0,plain,
~ ( greater @ ( vmul @ vd481 @ vd469 ) @ ( vmul @ vd480 @ vd469 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl261,plain,
( ( ( vmul @ vd481 @ vd469 )
= ( vmul @ vd480 @ vd469 ) )
| ( less @ ( vmul @ vd481 @ vd469 ) @ ( vmul @ vd480 @ vd469 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl43,zip_derived_cl0]) ).
thf('ass(cond(147, 0), 0)',axiom,
! [Vd226: $i,Vd227: $i] :
( ( less @ Vd226 @ Vd227 )
=> ( greater @ Vd227 @ Vd226 ) ) ).
thf(zip_derived_cl41,plain,
! [X0: $i,X1: $i] :
( ( greater @ X0 @ X1 )
| ~ ( less @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[ass(cond(147,0),0)]) ).
thf(zip_derived_cl267,plain,
( ( ( vmul @ vd481 @ vd469 )
= ( vmul @ vd480 @ vd469 ) )
| ( greater @ ( vmul @ vd480 @ vd469 ) @ ( vmul @ vd481 @ vd469 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl261,zip_derived_cl41]) ).
thf('ass(cond(270, 0), 0)',axiom,
! [Vd418: $i,Vd419: $i] :
( ( vmul @ Vd418 @ Vd419 )
= ( vmul @ Vd419 @ Vd418 ) ) ).
thf(zip_derived_cl10,plain,
! [X0: $i,X1: $i] :
( ( vmul @ X1 @ X0 )
= ( vmul @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[ass(cond(270,0),0)]) ).
thf(zip_derived_cl10_001,plain,
! [X0: $i,X1: $i] :
( ( vmul @ X1 @ X0 )
= ( vmul @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[ass(cond(270,0),0)]) ).
thf('holds(conseq_conjunct1(conseq(304)), 483, 0)',axiom,
greater @ vd481 @ vd480 ).
thf(zip_derived_cl1,plain,
greater @ vd481 @ vd480,
inference(cnf,[status(esa)],[holds(conseq_conjunct1(conseq(304)),483,0)]) ).
thf('ass(cond(302, 0), 3)',axiom,
! [Vd470: $i,Vd471: $i] :
( ( greater @ Vd470 @ Vd471 )
=> ( Vd470
= ( vplus @ Vd471 @ ( vskolem9 @ Vd470 @ Vd471 ) ) ) ) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i] :
( ( X1
= ( vplus @ X0 @ ( vskolem9 @ X1 @ X0 ) ) )
| ~ ( greater @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[ass(cond(302,0),3)]) ).
thf(zip_derived_cl183,plain,
( vd481
= ( vplus @ vd480 @ ( vskolem9 @ vd481 @ vd480 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl7]) ).
thf(zip_derived_cl183_002,plain,
( vd481
= ( vplus @ vd480 @ ( vskolem9 @ vd481 @ vd480 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl7]) ).
thf('ass(cond(81, 0), 0)',axiom,
! [Vd104: $i,Vd105: $i] :
( ( Vd104 != Vd105 )
=> ! [Vd107: $i] :
( ( vplus @ Vd107 @ Vd104 )
!= ( vplus @ Vd107 @ Vd105 ) ) ) ).
thf(zip_derived_cl55,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( vplus @ X0 @ X2 )
!= ( vplus @ X0 @ X1 ) )
| ( X2 = X1 ) ),
inference(cnf,[status(esa)],[ass(cond(81,0),0)]) ).
thf(zip_derived_cl215,plain,
! [X0: $i,X2: $i] :
( ( '#_fresh_sk3' @ X0 @ ( vplus @ X0 @ X2 ) )
= X2 ),
inference(inj_rec,[status(thm)],[zip_derived_cl55]) ).
thf(zip_derived_cl3023,plain,
( ( '#_fresh_sk3' @ vd480 @ vd481 )
= ( vskolem9 @ vd481 @ vd480 ) ),
inference('sup+',[status(thm)],[zip_derived_cl183,zip_derived_cl215]) ).
thf(zip_derived_cl3270,plain,
( vd481
= ( vplus @ vd480 @ ( '#_fresh_sk3' @ vd480 @ vd481 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl183,zip_derived_cl3023]) ).
thf('ass(cond(281, 0), 0)',axiom,
! [Vd432: $i,Vd433: $i,Vd434: $i] :
( ( vmul @ Vd432 @ ( vplus @ Vd433 @ Vd434 ) )
= ( vplus @ ( vmul @ Vd432 @ Vd433 ) @ ( vmul @ Vd432 @ Vd434 ) ) ) ).
thf(zip_derived_cl9,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( vmul @ X0 @ ( vplus @ X1 @ X2 ) )
= ( vplus @ ( vmul @ X0 @ X1 ) @ ( vmul @ X0 @ X2 ) ) ),
inference(cnf,[status(esa)],[ass(cond(281,0),0)]) ).
thf('ass(cond(goal(88), 0), 1)',axiom,
! [Vd120: $i,Vd121: $i] :
( ~ ? [Vd125: $i] :
( Vd121
= ( vplus @ Vd120 @ Vd125 ) )
| ( Vd120 != Vd121 ) ) ).
thf(zip_derived_cl52,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2
!= ( vplus @ X0 @ X1 ) )
| ( X0 != X2 ) ),
inference(cnf,[status(esa)],[ass(cond(goal(88),0),1)]) ).
thf(zip_derived_cl293,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X3
!= ( vmul @ X2 @ ( vplus @ X1 @ X0 ) ) )
| ( ( vmul @ X2 @ X1 )
!= X3 ) ),
inference('sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl52]) ).
thf(zip_derived_cl15454,plain,
! [X0: $i,X1: $i] :
( ( X1
!= ( vmul @ X0 @ vd481 ) )
| ( ( vmul @ X0 @ vd480 )
!= X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl3270,zip_derived_cl293]) ).
thf(zip_derived_cl15842,plain,
! [X0: $i,X1: $i] :
( ( X1
!= ( vmul @ vd481 @ X0 ) )
| ( ( vmul @ X0 @ vd480 )
!= X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl15454]) ).
thf(zip_derived_cl15895,plain,
! [X0: $i] :
( ( vmul @ X0 @ vd480 )
!= ( vmul @ vd481 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl15842]) ).
thf(zip_derived_cl15900,plain,
! [X0: $i] :
( ( vmul @ vd480 @ X0 )
!= ( vmul @ vd481 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl15895]) ).
thf(zip_derived_cl21170,plain,
greater @ ( vmul @ vd480 @ vd469 ) @ ( vmul @ vd481 @ vd469 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl267,zip_derived_cl15900]) ).
thf(zip_derived_cl10_003,plain,
! [X0: $i,X1: $i] :
( ( vmul @ X1 @ X0 )
= ( vmul @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[ass(cond(270,0),0)]) ).
thf(zip_derived_cl10_004,plain,
! [X0: $i,X1: $i] :
( ( vmul @ X1 @ X0 )
= ( vmul @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[ass(cond(270,0),0)]) ).
thf(zip_derived_cl3270_005,plain,
( vd481
= ( vplus @ vd480 @ ( '#_fresh_sk3' @ vd480 @ vd481 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl183,zip_derived_cl3023]) ).
thf(zip_derived_cl9_006,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( vmul @ X0 @ ( vplus @ X1 @ X2 ) )
= ( vplus @ ( vmul @ X0 @ X1 ) @ ( vmul @ X0 @ X2 ) ) ),
inference(cnf,[status(esa)],[ass(cond(281,0),0)]) ).
thf('ass(cond(189, 0), 0)',axiom,
! [Vd295: $i,Vd296: $i] : ( greater @ ( vplus @ Vd295 @ Vd296 ) @ Vd295 ) ).
thf(zip_derived_cl28,plain,
! [X0: $i,X1: $i] : ( greater @ ( vplus @ X0 @ X1 ) @ X0 ),
inference(cnf,[status(esa)],[ass(cond(189,0),0)]) ).
thf('ass(cond(140, 0), 0)',axiom,
! [Vd208: $i,Vd209: $i] :
( ( greater @ Vd208 @ Vd209 )
=> ( less @ Vd209 @ Vd208 ) ) ).
thf(zip_derived_cl42,plain,
! [X0: $i,X1: $i] :
( ( less @ X0 @ X1 )
| ~ ( greater @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[ass(cond(140,0),0)]) ).
thf(zip_derived_cl107,plain,
! [X0: $i,X1: $i] : ( less @ X0 @ ( vplus @ X0 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl28,zip_derived_cl42]) ).
thf('ass(cond(goal(130), 0), 2)',axiom,
! [Vd203: $i,Vd204: $i] :
( ~ ( less @ Vd203 @ Vd204 )
| ~ ( greater @ Vd203 @ Vd204 ) ) ).
thf(zip_derived_cl45,plain,
! [X0: $i,X1: $i] :
( ~ ( less @ X0 @ X1 )
| ~ ( greater @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[ass(cond(goal(130),0),2)]) ).
thf(zip_derived_cl630,plain,
! [X0: $i,X1: $i] :
~ ( greater @ X1 @ ( vplus @ X1 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl107,zip_derived_cl45]) ).
thf(zip_derived_cl662,plain,
! [X0: $i,X1: $i,X2: $i] :
~ ( greater @ ( vmul @ X2 @ X1 ) @ ( vmul @ X2 @ ( vplus @ X1 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl630]) ).
thf(zip_derived_cl20970,plain,
! [X0: $i] :
~ ( greater @ ( vmul @ X0 @ vd480 ) @ ( vmul @ X0 @ vd481 ) ),
inference('sup-',[status(thm)],[zip_derived_cl3270,zip_derived_cl662]) ).
thf(zip_derived_cl21014,plain,
! [X0: $i] :
~ ( greater @ ( vmul @ X0 @ vd480 ) @ ( vmul @ vd481 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl20970]) ).
thf(zip_derived_cl21043,plain,
! [X0: $i] :
~ ( greater @ ( vmul @ vd480 @ X0 ) @ ( vmul @ vd481 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl21014]) ).
thf(zip_derived_cl21218,plain,
$false,
inference('sup-',[status(thm)],[zip_derived_cl21170,zip_derived_cl21043]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM852+1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.D1NNdLi9CW true
% 0.13/0.35 % Computer : n018.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 : Fri Aug 25 17:33:14 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.20/0.64 % Total configuration time : 435
% 0.20/0.64 % Estimated wc time : 1092
% 0.20/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.73 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.73 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.73 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 25.15/4.24 % Solved by fo/fo5.sh.
% 25.15/4.24 % done 4536 iterations in 3.465s
% 25.15/4.24 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 25.15/4.24 % SZS output start Refutation
% See solution above
% 25.15/4.24
% 25.15/4.24
% 25.15/4.24 % Terminating...
% 25.15/4.30 % Runner terminated.
% 25.15/4.31 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------