TSTP Solution File: NUM848+2 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM848+2 : TPTP v8.1.2. Released v4.1.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ZELfd6noug true
% Computer : n026.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 12:44:29 EDT 2023
% Result : Theorem 0.22s 0.75s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 23
% Syntax : Number of formulae : 32 ( 23 unt; 7 typ; 0 def)
% Number of atoms : 27 ( 26 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 246 ( 6 ~; 0 |; 2 &; 238 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 5 ( 5 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 20 ( 0 ^; 20 !; 0 ?; 20 :)
% Comments :
%------------------------------------------------------------------------------
thf(vd439_type,type,
vd439: $i ).
thf(vd437_type,type,
vd437: $i ).
thf(vsucc_type,type,
vsucc: $i > $i ).
thf(v1_type,type,
v1: $i ).
thf(vd436_type,type,
vd436: $i ).
thf(vmul_type,type,
vmul: $i > $i > $i ).
thf(vplus_type,type,
vplus: $i > $i > $i ).
thf('holds(286, 441, 4)',conjecture,
( ( vplus @ ( vmul @ vd436 @ vd437 ) @ ( vplus @ ( vmul @ vd436 @ vd439 ) @ vd436 ) )
= ( vplus @ ( vmul @ vd436 @ vd437 ) @ ( vmul @ vd436 @ ( vsucc @ vd439 ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
( ( vplus @ ( vmul @ vd436 @ vd437 ) @ ( vplus @ ( vmul @ vd436 @ vd439 ) @ vd436 ) )
!= ( vplus @ ( vmul @ vd436 @ vd437 ) @ ( vmul @ vd436 @ ( vsucc @ vd439 ) ) ) ),
inference('cnf.neg',[status(esa)],[holds(286,441,4)]) ).
thf(zip_derived_cl0,plain,
( ( vplus @ ( vmul @ vd436 @ vd437 ) @ ( vplus @ ( vmul @ vd436 @ vd439 ) @ vd436 ) )
!= ( vplus @ ( vmul @ vd436 @ vd437 ) @ ( vmul @ vd436 @ ( vsucc @ vd439 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('ass(cond(61, 0), 0)',axiom,
! [Vd78: $i,Vd79: $i] :
( ( vplus @ Vd79 @ Vd78 )
= ( vplus @ Vd78 @ Vd79 ) ) ).
thf(zip_derived_cl11,plain,
! [X0: $i,X1: $i] :
( ( vplus @ X1 @ X0 )
= ( vplus @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[ass(cond(61,0),0)]) ).
thf(zip_derived_cl19,plain,
( ( vplus @ ( vmul @ vd436 @ vd437 ) @ ( vplus @ vd436 @ ( vmul @ vd436 @ vd439 ) ) )
!= ( vplus @ ( vmul @ vd436 @ vd437 ) @ ( vmul @ vd436 @ ( vsucc @ vd439 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl0,zip_derived_cl11]) ).
thf('holds(286, 441, 3)',axiom,
( ( vplus @ ( vplus @ ( vmul @ vd436 @ vd437 ) @ ( vmul @ vd436 @ vd439 ) ) @ vd436 )
= ( vplus @ ( vmul @ vd436 @ vd437 ) @ ( vplus @ ( vmul @ vd436 @ vd439 ) @ vd436 ) ) ) ).
thf(zip_derived_cl1,plain,
( ( vplus @ ( vplus @ ( vmul @ vd436 @ vd437 ) @ ( vmul @ vd436 @ vd439 ) ) @ vd436 )
= ( vplus @ ( vmul @ vd436 @ vd437 ) @ ( vplus @ ( vmul @ vd436 @ vd439 ) @ vd436 ) ) ),
inference(cnf,[status(esa)],[holds(286,441,3)]) ).
thf('holds(285, 440, 0)',axiom,
( ( vmul @ vd436 @ ( vplus @ vd437 @ vd439 ) )
= ( vplus @ ( vmul @ vd436 @ vd437 ) @ ( vmul @ vd436 @ vd439 ) ) ) ).
thf(zip_derived_cl5,plain,
( ( vmul @ vd436 @ ( vplus @ vd437 @ vd439 ) )
= ( vplus @ ( vmul @ vd436 @ vd437 ) @ ( vmul @ vd436 @ vd439 ) ) ),
inference(cnf,[status(esa)],[holds(285,440,0)]) ).
thf(zip_derived_cl11_001,plain,
! [X0: $i,X1: $i] :
( ( vplus @ X1 @ X0 )
= ( vplus @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[ass(cond(61,0),0)]) ).
thf(zip_derived_cl11_002,plain,
! [X0: $i,X1: $i] :
( ( vplus @ X1 @ X0 )
= ( vplus @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[ass(cond(61,0),0)]) ).
thf(zip_derived_cl22,plain,
( ( vplus @ vd436 @ ( vmul @ vd436 @ ( vplus @ vd437 @ vd439 ) ) )
= ( vplus @ ( vmul @ vd436 @ vd437 ) @ ( vplus @ vd436 @ ( vmul @ vd436 @ vd439 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1,zip_derived_cl5,zip_derived_cl11,zip_derived_cl11]) ).
thf(zip_derived_cl23,plain,
( ( vplus @ vd436 @ ( vmul @ vd436 @ ( vplus @ vd437 @ vd439 ) ) )
!= ( vplus @ ( vmul @ vd436 @ vd437 ) @ ( vmul @ vd436 @ ( vsucc @ vd439 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19,zip_derived_cl22]) ).
thf('qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0)))',axiom,
! [Vd42: $i,Vd43: $i] :
( ( ( vplus @ Vd42 @ v1 )
= ( vsucc @ Vd42 ) )
& ( ( vplus @ Vd42 @ ( vsucc @ Vd43 ) )
= ( vsucc @ ( vplus @ Vd42 @ Vd43 ) ) ) ) ).
thf(zip_derived_cl16,plain,
! [X0: $i] :
( ( vplus @ X0 @ v1 )
= ( vsucc @ X0 ) ),
inference(cnf,[status(esa)],[qu(cond(conseq(axiom(3)),3),and(holds(definiens(29),45,0),holds(definiens(29),44,0)))]) ).
thf(zip_derived_cl29,plain,
( ( vplus @ vd436 @ ( vmul @ vd436 @ ( vplus @ vd437 @ vd439 ) ) )
!= ( vplus @ ( vmul @ vd436 @ vd437 ) @ ( vmul @ vd436 @ ( vplus @ vd439 @ v1 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23,zip_derived_cl16]) ).
thf('qu(cond(conseq(axiom(3)), 32), and(holds(definiens(249), 399, 0), holds(definiens(249), 398, 0)))',axiom,
! [Vd396: $i,Vd397: $i] :
( ( ( vmul @ Vd396 @ v1 )
= Vd396 )
& ( ( vmul @ Vd396 @ ( vsucc @ Vd397 ) )
= ( vplus @ ( vmul @ Vd396 @ Vd397 ) @ Vd396 ) ) ) ).
thf(zip_derived_cl8,plain,
! [X0: $i,X1: $i] :
( ( vmul @ X0 @ ( vsucc @ X1 ) )
= ( vplus @ ( vmul @ X0 @ X1 ) @ X0 ) ),
inference(cnf,[status(esa)],[qu(cond(conseq(axiom(3)),32),and(holds(definiens(249),399,0),holds(definiens(249),398,0)))]) ).
thf(zip_derived_cl16_003,plain,
! [X0: $i] :
( ( vplus @ X0 @ v1 )
= ( vsucc @ X0 ) ),
inference(cnf,[status(esa)],[qu(cond(conseq(axiom(3)),3),and(holds(definiens(29),45,0),holds(definiens(29),44,0)))]) ).
thf(zip_derived_cl31,plain,
! [X0: $i,X1: $i] :
( ( vmul @ X0 @ ( vplus @ X1 @ v1 ) )
= ( vplus @ ( vmul @ X0 @ X1 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl8,zip_derived_cl16]) ).
thf(zip_derived_cl11_004,plain,
! [X0: $i,X1: $i] :
( ( vplus @ X1 @ X0 )
= ( vplus @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[ass(cond(61,0),0)]) ).
thf(zip_derived_cl22_005,plain,
( ( vplus @ vd436 @ ( vmul @ vd436 @ ( vplus @ vd437 @ vd439 ) ) )
= ( vplus @ ( vmul @ vd436 @ vd437 ) @ ( vplus @ vd436 @ ( vmul @ vd436 @ vd439 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1,zip_derived_cl5,zip_derived_cl11,zip_derived_cl11]) ).
thf(zip_derived_cl32,plain,
( ( vplus @ vd436 @ ( vmul @ vd436 @ ( vplus @ vd437 @ vd439 ) ) )
!= ( vplus @ vd436 @ ( vmul @ vd436 @ ( vplus @ vd437 @ vd439 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29,zip_derived_cl31,zip_derived_cl11,zip_derived_cl22]) ).
thf(zip_derived_cl33,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : NUM848+2 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ZELfd6noug true
% 0.15/0.36 % Computer : n026.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri Aug 25 13:09:33 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % Running portfolio for 300 s
% 0.15/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.36 % Number of cores: 8
% 0.15/0.37 % Python version: Python 3.6.8
% 0.15/0.37 % Running in FO mode
% 0.22/0.67 % Total configuration time : 435
% 0.22/0.67 % Estimated wc time : 1092
% 0.22/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.75 % Solved by fo/fo6_bce.sh.
% 0.22/0.75 % BCE start: 18
% 0.22/0.75 % BCE eliminated: 1
% 0.22/0.75 % PE start: 17
% 0.22/0.75 logic: eq
% 0.22/0.75 % PE eliminated: 0
% 0.22/0.75 % done 17 iterations in 0.014s
% 0.22/0.75 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.22/0.75 % SZS output start Refutation
% See solution above
% 0.22/0.75
% 0.22/0.75
% 0.22/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.75 % Terminating...
% 0.93/0.86 % Runner terminated.
% 0.93/0.87 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------