TSTP Solution File: NUM847+1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM847+1 : 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.rfo5xIm4cv true
% Computer : n011.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 12:44:28 EDT 2023
% Result : Theorem 11.44s 2.24s
% Output : Refutation 11.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 38
% Syntax : Number of formulae : 55 ( 36 unt; 7 typ; 0 def)
% Number of atoms : 60 ( 59 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 479 ( 23 ~; 10 |; 1 &; 444 @)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 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 : 61 ( 0 ^; 61 !; 0 ?; 61 :)
% 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(285, 440, 0)',axiom,
( ( vmul @ vd436 @ ( vplus @ vd437 @ vd439 ) )
= ( vplus @ ( vmul @ vd436 @ vd437 ) @ ( vmul @ vd436 @ vd439 ) ) ) ).
thf(zip_derived_cl3,plain,
( ( vmul @ vd436 @ ( vplus @ vd437 @ vd439 ) )
= ( vplus @ ( vmul @ vd436 @ vd437 ) @ ( vmul @ vd436 @ vd439 ) ) ),
inference(cnf,[status(esa)],[holds(285,440,0)]) ).
thf('ass(cond(270, 0), 0)',axiom,
! [Vd418: $i,Vd419: $i] :
( ( vmul @ Vd418 @ Vd419 )
= ( vmul @ Vd419 @ Vd418 ) ) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i] :
( ( vmul @ X1 @ X0 )
= ( vmul @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[ass(cond(270,0),0)]) ).
thf(zip_derived_cl7_001,plain,
! [X0: $i,X1: $i] :
( ( vmul @ X1 @ X0 )
= ( vmul @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[ass(cond(270,0),0)]) ).
thf(zip_derived_cl195,plain,
( ( vmul @ vd436 @ ( vplus @ vd437 @ vd439 ) )
= ( vplus @ ( vmul @ vd437 @ vd436 ) @ ( vmul @ vd439 @ vd436 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3,zip_derived_cl7,zip_derived_cl7]) ).
thf('ass(cond(61, 0), 0)',axiom,
! [Vd78: $i,Vd79: $i] :
( ( vplus @ Vd79 @ Vd78 )
= ( vplus @ Vd78 @ Vd79 ) ) ).
thf(zip_derived_cl20,plain,
! [X0: $i,X1: $i] :
( ( vplus @ X1 @ X0 )
= ( vplus @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[ass(cond(61,0),0)]) ).
thf(zip_derived_cl20_002,plain,
! [X0: $i,X1: $i] :
( ( vplus @ X1 @ X0 )
= ( vplus @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[ass(cond(61,0),0)]) ).
thf('ass(cond(261, 0), 0)',axiom,
! [Vd408: $i,Vd409: $i] :
( ( vmul @ ( vsucc @ Vd408 ) @ Vd409 )
= ( vplus @ ( vmul @ Vd408 @ Vd409 ) @ Vd409 ) ) ).
thf(zip_derived_cl8,plain,
! [X0: $i,X1: $i] :
( ( vmul @ ( vsucc @ X0 ) @ X1 )
= ( vplus @ ( vmul @ X0 @ X1 ) @ X1 ) ),
inference(cnf,[status(esa)],[ass(cond(261,0),0)]) ).
thf('ass(cond(goal(202), 0), 1)',axiom,
! [Vd328: $i,Vd329: $i,Vd330: $i] :
( ( ( vplus @ Vd328 @ Vd330 )
= ( vplus @ Vd329 @ Vd330 ) )
=> ( Vd328 = Vd329 ) ) ).
thf(zip_derived_cl12,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X0 )
| ( ( vplus @ X1 @ X2 )
!= ( vplus @ X0 @ X2 ) ) ),
inference(cnf,[status(esa)],[ass(cond(goal(202),0),1)]) ).
thf(zip_derived_cl83,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( vplus @ X2 @ X0 )
!= ( vmul @ ( vsucc @ X1 ) @ X0 ) )
| ( X2
= ( vmul @ X1 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl12]) ).
thf('holds(286, 441, 3)',conjecture,
( ( vplus @ ( vplus @ ( vmul @ vd436 @ vd437 ) @ ( vmul @ vd436 @ vd439 ) ) @ vd436 )
= ( vplus @ ( vmul @ vd436 @ vd437 ) @ ( vplus @ ( vmul @ vd436 @ vd439 ) @ vd436 ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
( ( vplus @ ( vplus @ ( vmul @ vd436 @ vd437 ) @ ( vmul @ vd436 @ vd439 ) ) @ vd436 )
!= ( vplus @ ( vmul @ vd436 @ vd437 ) @ ( vplus @ ( vmul @ vd436 @ vd439 ) @ vd436 ) ) ),
inference('cnf.neg',[status(esa)],[holds(286,441,3)]) ).
thf(zip_derived_cl22,plain,
( ( vplus @ ( vplus @ ( vmul @ vd436 @ vd437 ) @ ( vmul @ vd436 @ vd439 ) ) @ vd436 )
!= ( vplus @ ( vmul @ vd436 @ vd437 ) @ ( vplus @ ( vmul @ vd436 @ vd439 ) @ vd436 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('holds(286, 441, 2)',axiom,
( ( vplus @ ( vmul @ vd436 @ ( vplus @ vd437 @ vd439 ) ) @ vd436 )
= ( vplus @ ( vplus @ ( vmul @ vd436 @ vd437 ) @ ( vmul @ vd436 @ vd439 ) ) @ vd436 ) ) ).
thf(zip_derived_cl0,plain,
( ( vplus @ ( vmul @ vd436 @ ( vplus @ vd437 @ vd439 ) ) @ vd436 )
= ( vplus @ ( vplus @ ( vmul @ vd436 @ vd437 ) @ ( vmul @ vd436 @ vd439 ) ) @ vd436 ) ),
inference(cnf,[status(esa)],[holds(286,441,2)]) ).
thf(zip_derived_cl29,plain,
( ( vplus @ ( vmul @ vd436 @ ( vplus @ vd437 @ vd439 ) ) @ vd436 )
!= ( vplus @ ( vmul @ vd436 @ vd437 ) @ ( vplus @ ( vmul @ vd436 @ vd439 ) @ vd436 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22,zip_derived_cl0]) ).
thf(zip_derived_cl7_003,plain,
! [X0: $i,X1: $i] :
( ( vmul @ X1 @ X0 )
= ( vmul @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[ass(cond(270,0),0)]) ).
thf(zip_derived_cl7_004,plain,
! [X0: $i,X1: $i] :
( ( vmul @ X1 @ X0 )
= ( vmul @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[ass(cond(270,0),0)]) ).
thf(zip_derived_cl52,plain,
( ( vplus @ ( vmul @ vd436 @ ( vplus @ vd437 @ vd439 ) ) @ vd436 )
!= ( vplus @ ( vmul @ vd437 @ vd436 ) @ ( vplus @ ( vmul @ vd439 @ vd436 ) @ vd436 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29,zip_derived_cl7,zip_derived_cl7]) ).
thf(zip_derived_cl20_005,plain,
! [X0: $i,X1: $i] :
( ( vplus @ X1 @ X0 )
= ( vplus @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[ass(cond(61,0),0)]) ).
thf(zip_derived_cl20_006,plain,
! [X0: $i,X1: $i] :
( ( vplus @ X1 @ X0 )
= ( vplus @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[ass(cond(61,0),0)]) ).
thf(zip_derived_cl64,plain,
( ( vplus @ vd436 @ ( vmul @ vd436 @ ( vplus @ vd437 @ vd439 ) ) )
!= ( vplus @ ( vmul @ vd437 @ vd436 ) @ ( vplus @ vd436 @ ( vmul @ vd439 @ vd436 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl52,zip_derived_cl20,zip_derived_cl20]) ).
thf(zip_derived_cl1342,plain,
! [X0: $i] :
( ( ( vplus @ vd436 @ ( vmul @ vd436 @ ( vplus @ vd437 @ vd439 ) ) )
!= ( vplus @ ( vmul @ vd437 @ vd436 ) @ ( vplus @ vd436 @ X0 ) ) )
| ( ( vplus @ X0 @ vd436 )
!= ( vmul @ ( vsucc @ vd439 ) @ vd436 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl83,zip_derived_cl64]) ).
thf(zip_derived_cl7_007,plain,
! [X0: $i,X1: $i] :
( ( vmul @ X1 @ X0 )
= ( vmul @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[ass(cond(270,0),0)]) ).
thf(zip_derived_cl1748,plain,
! [X0: $i] :
( ( ( vplus @ vd436 @ ( vmul @ vd436 @ ( vplus @ vd437 @ vd439 ) ) )
!= ( vplus @ ( vmul @ vd437 @ vd436 ) @ ( vplus @ vd436 @ X0 ) ) )
| ( ( vplus @ X0 @ vd436 )
!= ( vmul @ vd436 @ ( vsucc @ vd439 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1342,zip_derived_cl7]) ).
thf(zip_derived_cl20_008,plain,
! [X0: $i,X1: $i] :
( ( vplus @ X1 @ X0 )
= ( vplus @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[ass(cond(61,0),0)]) ).
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_cl10,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_cl107,plain,
! [X0: $i,X1: $i] :
( ( vmul @ X1 @ ( vsucc @ X0 ) )
= ( vplus @ X1 @ ( vmul @ X1 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl20,zip_derived_cl10]) ).
thf('holds(286, 441, 0)',axiom,
( ( vmul @ vd436 @ ( vplus @ vd437 @ ( vsucc @ vd439 ) ) )
= ( vmul @ vd436 @ ( vsucc @ ( vplus @ vd437 @ vd439 ) ) ) ) ).
thf(zip_derived_cl2,plain,
( ( vmul @ vd436 @ ( vplus @ vd437 @ ( vsucc @ vd439 ) ) )
= ( vmul @ vd436 @ ( vsucc @ ( vplus @ vd437 @ vd439 ) ) ) ),
inference(cnf,[status(esa)],[holds(286,441,0)]) ).
thf(zip_derived_cl4569,plain,
! [X0: $i] :
( ( ( vmul @ vd436 @ ( vplus @ vd437 @ ( vsucc @ vd439 ) ) )
!= ( vplus @ ( vmul @ vd437 @ vd436 ) @ ( vplus @ vd436 @ X0 ) ) )
| ( ( vplus @ X0 @ vd436 )
!= ( vmul @ vd436 @ ( vsucc @ vd439 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1748,zip_derived_cl107,zip_derived_cl2]) ).
thf(zip_derived_cl5120,plain,
! [X0: $i] :
( ( ( vmul @ vd436 @ ( vplus @ vd437 @ ( vsucc @ vd439 ) ) )
!= ( vplus @ ( vplus @ vd436 @ X0 ) @ ( vmul @ vd437 @ vd436 ) ) )
| ( ( vplus @ X0 @ vd436 )
!= ( vmul @ vd436 @ ( vsucc @ vd439 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl4569]) ).
thf('ass(cond(33, 0), 0)',axiom,
! [Vd46: $i,Vd47: $i,Vd48: $i] :
( ( vplus @ ( vplus @ Vd46 @ Vd47 ) @ Vd48 )
= ( vplus @ Vd46 @ ( vplus @ Vd47 @ Vd48 ) ) ) ).
thf(zip_derived_cl21,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( vplus @ ( vplus @ X0 @ X1 ) @ X2 )
= ( vplus @ X0 @ ( vplus @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[ass(cond(33,0),0)]) ).
thf(zip_derived_cl5138,plain,
! [X0: $i] :
( ( ( vmul @ vd436 @ ( vplus @ vd437 @ ( vsucc @ vd439 ) ) )
!= ( vplus @ vd436 @ ( vplus @ X0 @ ( vmul @ vd437 @ vd436 ) ) ) )
| ( ( vplus @ X0 @ vd436 )
!= ( vmul @ vd436 @ ( vsucc @ vd439 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5120,zip_derived_cl21]) ).
thf(zip_derived_cl5510,plain,
! [X0: $i] :
( ( ( vmul @ vd436 @ ( vplus @ vd437 @ ( vsucc @ vd439 ) ) )
!= ( vplus @ vd436 @ ( vplus @ ( vmul @ vd437 @ vd436 ) @ X0 ) ) )
| ( ( vplus @ X0 @ vd436 )
!= ( vmul @ vd436 @ ( vsucc @ vd439 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl5138]) ).
thf(zip_derived_cl5908,plain,
( ( ( vmul @ vd436 @ ( vplus @ vd437 @ ( vsucc @ vd439 ) ) )
!= ( vplus @ vd436 @ ( vmul @ vd436 @ ( vplus @ vd437 @ vd439 ) ) ) )
| ( ( vplus @ ( vmul @ vd439 @ vd436 ) @ vd436 )
!= ( vmul @ vd436 @ ( vsucc @ vd439 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl195,zip_derived_cl5510]) ).
thf(zip_derived_cl107_009,plain,
! [X0: $i,X1: $i] :
( ( vmul @ X1 @ ( vsucc @ X0 ) )
= ( vplus @ X1 @ ( vmul @ X1 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl20,zip_derived_cl10]) ).
thf(zip_derived_cl2_010,plain,
( ( vmul @ vd436 @ ( vplus @ vd437 @ ( vsucc @ vd439 ) ) )
= ( vmul @ vd436 @ ( vsucc @ ( vplus @ vd437 @ vd439 ) ) ) ),
inference(cnf,[status(esa)],[holds(286,441,0)]) ).
thf(zip_derived_cl8_011,plain,
! [X0: $i,X1: $i] :
( ( vmul @ ( vsucc @ X0 ) @ X1 )
= ( vplus @ ( vmul @ X0 @ X1 ) @ X1 ) ),
inference(cnf,[status(esa)],[ass(cond(261,0),0)]) ).
thf(zip_derived_cl7_012,plain,
! [X0: $i,X1: $i] :
( ( vmul @ X1 @ X0 )
= ( vmul @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[ass(cond(270,0),0)]) ).
thf(zip_derived_cl5928,plain,
( ( ( vmul @ vd436 @ ( vplus @ vd437 @ ( vsucc @ vd439 ) ) )
!= ( vmul @ vd436 @ ( vplus @ vd437 @ ( vsucc @ vd439 ) ) ) )
| ( ( vmul @ vd436 @ ( vsucc @ vd439 ) )
!= ( vmul @ vd436 @ ( vsucc @ vd439 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5908,zip_derived_cl107,zip_derived_cl2,zip_derived_cl8,zip_derived_cl7]) ).
thf(zip_derived_cl5929,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl5928]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.13 % Problem : NUM847+1 : TPTP v8.1.2. Released v4.1.0.
% 0.09/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.rfo5xIm4cv true
% 0.13/0.35 % Computer : n011.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 08:14:23 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/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
% 0.21/0.66 % Total configuration time : 435
% 0.21/0.66 % Estimated wc time : 1092
% 0.21/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 1.13/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.13/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.13/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.13/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.13/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.13/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 11.44/2.24 % Solved by fo/fo4.sh.
% 11.44/2.24 % done 1127 iterations in 1.455s
% 11.44/2.24 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 11.44/2.24 % SZS output start Refutation
% See solution above
% 11.44/2.24
% 11.44/2.24
% 11.44/2.24 % Terminating...
% 11.44/2.29 % Runner terminated.
% 11.44/2.30 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------