TSTP Solution File: ARI698_1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ARI698_1 : TPTP v8.1.0. Released v6.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n021.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 : Wed Aug 31 15:49:01 EDT 2022
% Result : Theorem 2.67s 0.80s
% Output : Refutation 2.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 50
% Number of leaves : 41
% Syntax : Number of formulae : 269 ( 135 unt; 7 typ; 0 def)
% Number of atoms : 494 ( 235 equ)
% Maximal formula atoms : 7 ( 1 avg)
% Number of connectives : 427 ( 195 ~; 210 |; 10 &)
% ( 12 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number arithmetic : 1796 ( 66 atm;1056 fun; 605 num; 69 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 15 ( 12 usr; 13 prp; 0-2 aty)
% Number of functors : 14 ( 7 usr; 10 con; 0-2 aty)
% Number of variables : 69 ( 69 !; 0 ?; 69 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
n: $int ).
tff(func_def_1,type,
x6: $int ).
tff(func_def_2,type,
x5: $int ).
tff(func_def_3,type,
x4: $int ).
tff(func_def_4,type,
x3: $int ).
tff(func_def_5,type,
x2: $int ).
tff(func_def_6,type,
x1: $int ).
tff(f2637,plain,
$false,
inference(avatar_sat_refutation,[],[f91,f669,f693,f1308,f1315,f1325,f1420,f1532,f1550,f1602,f1603,f1618,f1706,f2539,f2634]) ).
tff(f2634,plain,
( spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f2633]) ).
tff(f2633,plain,
( $false
| spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f2624,f74]) ).
tff(f74,plain,
( ( x5 != 0 )
| spl0_2 ),
inference(avatar_component_clause,[],[f72]) ).
tff(f72,plain,
( spl0_2
<=> ( x5 = 0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
tff(f2624,plain,
( ( x5 = 0 )
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8 ),
inference(evaluation,[],[f2623]) ).
tff(f2623,plain,
( ( 1000 = 0 )
| ( x5 = 0 )
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f2620]) ).
tff(f2620,plain,
( ( 0 != 0 )
| ( 1000 = 0 )
| ( x5 = 0 )
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8 ),
inference(superposition,[],[f479,f2576]) ).
tff(f2576,plain,
( ( 0 = $product(1000,x5) )
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8 ),
inference(superposition,[],[f2545,f130]) ).
tff(f130,plain,
! [X0: $int] : ( $sum(0,X0) = X0 ),
inference(superposition,[],[f21,f23]) ).
tff(f23,plain,
! [X0: $int] : ( $sum(X0,0) = X0 ),
introduced(theory_axiom_142,[]) ).
tff(f21,plain,
! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_140,[]) ).
tff(f2545,plain,
( ( 0 = $sum(0,$product(1000,x5)) )
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8 ),
inference(backward_demodulation,[],[f1792,f81]) ).
tff(f81,plain,
( ( x6 = 0 )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f80]) ).
tff(f80,plain,
( spl0_4
<=> ( x6 = 0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
tff(f1792,plain,
( ( 0 = $sum(x6,$product(1000,x5)) )
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1724,f23]) ).
tff(f1724,plain,
( ( 0 = $sum(x6,$product(1000,$sum(x5,0))) )
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8 ),
inference(backward_demodulation,[],[f1506,f89]) ).
tff(f89,plain,
( ( x1 = 0 )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f88]) ).
tff(f88,plain,
( spl0_6
<=> ( x1 = 0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
tff(f1506,plain,
( ( 0 = $sum(x6,$product(1000,$sum(x5,x1))) )
| ~ spl0_5
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1505,f21]) ).
tff(f1505,plain,
( ( 0 = $sum(x6,$product(1000,$sum(x1,x5))) )
| ~ spl0_5
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1504,f130]) ).
tff(f1504,plain,
( ( 0 = $sum(x6,$product(1000,$sum(0,$sum(x1,x5)))) )
| ~ spl0_5
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1432,f337]) ).
tff(f337,plain,
! [X10: $int,X8: $int,X9: $int] : ( $sum(X10,$sum(X8,X9)) = $sum(X8,$sum(X9,X10)) ),
inference(superposition,[],[f21,f22]) ).
tff(f22,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2) ),
introduced(theory_axiom_141,[]) ).
tff(f1432,plain,
( ( 0 = $sum(x6,$product(1000,$sum(x5,$sum(0,x1)))) )
| ~ spl0_5
| ~ spl0_8 ),
inference(backward_demodulation,[],[f972,f85]) ).
tff(f85,plain,
( ( x4 = 0 )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f84]) ).
tff(f84,plain,
( spl0_5
<=> ( x4 = 0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
tff(f972,plain,
( ( 0 = $sum(x6,$product(1000,$sum(x5,$sum(x4,x1)))) )
| ~ spl0_8 ),
inference(backward_demodulation,[],[f821,f961]) ).
tff(f961,plain,
( ( x4 = x3 )
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f959,f957]) ).
tff(f957,plain,
( ~ $less(x3,x4)
| ~ spl0_8 ),
inference(evaluation,[],[f951]) ).
tff(f951,plain,
( ~ $less(x3,x4)
| $less(0,0)
| ~ spl0_8 ),
inference(superposition,[],[f290,f950]) ).
tff(f950,plain,
( ( 0 = $sum(x3,$uminus(x4)) )
| ~ spl0_8 ),
inference(backward_demodulation,[],[f872,f949]) ).
tff(f949,plain,
( ! [X0: $int] : ( $sum(x3,$sum(x1,$sum(x1,X0))) = X0 )
| ~ spl0_8 ),
inference(forward_demodulation,[],[f948,f130]) ).
tff(f948,plain,
( ! [X0: $int] : ( $sum(0,X0) = $sum(x3,$sum(x1,$sum(x1,X0))) )
| ~ spl0_8 ),
inference(forward_demodulation,[],[f945,f22]) ).
tff(f945,plain,
( ! [X0: $int] : ( $sum(0,X0) = $sum(x3,$sum($sum(x1,x1),X0)) )
| ~ spl0_8 ),
inference(superposition,[],[f22,f834]) ).
tff(f834,plain,
( ( 0 = $sum(x3,$sum(x1,x1)) )
| ~ spl0_8 ),
inference(backward_demodulation,[],[f710,f815]) ).
tff(f815,plain,
( ( x3 = x2 )
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f813,f783]) ).
tff(f783,plain,
( ~ $less(x2,x3)
| ~ spl0_8 ),
inference(evaluation,[],[f778]) ).
tff(f778,plain,
( $less(0,0)
| ~ $less(x2,x3)
| ~ spl0_8 ),
inference(superposition,[],[f281,f753]) ).
tff(f753,plain,
( ( 0 = $sum(x3,$uminus(x2)) )
| ~ spl0_8 ),
inference(forward_demodulation,[],[f723,f400]) ).
tff(f400,plain,
! [X2: $int,X1: $int] : ( $sum(X1,$uminus($sum(X2,X1))) = $uminus(X2) ),
inference(superposition,[],[f353,f24]) ).
tff(f24,plain,
! [X0: $int,X1: $int] : ( $uminus($sum(X0,X1)) = $sum($uminus(X1),$uminus(X0)) ),
introduced(theory_axiom_144,[]) ).
tff(f353,plain,
! [X2: $int,X3: $int] : ( $sum(X2,$sum($uminus(X2),X3)) = X3 ),
inference(forward_demodulation,[],[f317,f130]) ).
tff(f317,plain,
! [X2: $int,X3: $int] : ( $sum(X2,$sum($uminus(X2),X3)) = $sum(0,X3) ),
inference(superposition,[],[f22,f25]) ).
tff(f25,plain,
! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) ),
introduced(theory_axiom_145,[]) ).
tff(f723,plain,
( ( 0 = $sum(x3,$sum(x1,$uminus($sum(x2,x1)))) )
| ~ spl0_8 ),
inference(backward_demodulation,[],[f538,f667]) ).
tff(f667,plain,
( ( x1 = $product(1000,x6) )
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f665]) ).
tff(f665,plain,
( spl0_8
<=> ( x1 = $product(1000,x6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
tff(f538,plain,
0 = $sum(x3,$sum($product(1000,x6),$uminus($sum(x2,x1)))),
inference(forward_demodulation,[],[f537,f21]) ).
tff(f537,plain,
0 = $sum(x3,$sum($product(1000,x6),$uminus($sum(x1,x2)))),
inference(forward_demodulation,[],[f536,f24]) ).
tff(f536,plain,
0 = $sum(x3,$sum($product(1000,x6),$sum($uminus(x2),$uminus(x1)))),
inference(forward_demodulation,[],[f527,f22]) ).
tff(f527,plain,
0 = $sum(x3,$sum($sum($product(1000,x6),$uminus(x2)),$uminus(x1))),
inference(superposition,[],[f352,f22]) ).
tff(f352,plain,
0 = $sum($sum(x3,$sum($product(1000,x6),$uminus(x2))),$uminus(x1)),
inference(forward_demodulation,[],[f345,f21]) ).
tff(f345,plain,
0 = $sum($sum(x3,$sum($uminus(x2),$product(1000,x6))),$uminus(x1)),
inference(backward_demodulation,[],[f175,f337]) ).
tff(f175,plain,
0 = $sum($sum($product(1000,x6),$sum(x3,$uminus(x2))),$uminus(x1)),
inference(forward_demodulation,[],[f169,f21]) ).
tff(f169,plain,
0 = $sum($sum($product(1000,x6),$sum($uminus(x2),x3)),$uminus(x1)),
inference(backward_demodulation,[],[f157,f138]) ).
tff(f138,plain,
! [X0: $int] : ( $product(1,X0) = X0 ),
inference(superposition,[],[f34,f32]) ).
tff(f32,plain,
! [X0: $int,X1: $int] : ( $product(X0,X1) = $product(X1,X0) ),
introduced(theory_axiom_140,[]) ).
tff(f34,plain,
! [X0: $int] : ( $product(X0,1) = X0 ),
introduced(theory_axiom_142,[]) ).
tff(f157,plain,
0 = $sum($sum($product(1000,x6),$sum($uminus(x2),$product(1,x3))),$uminus(x1)),
inference(forward_demodulation,[],[f156,f130]) ).
tff(f156,plain,
0 = $sum($sum($product(1000,x6),$sum(0,$sum($uminus(x2),$product(1,x3)))),$uminus(x1)),
inference(forward_demodulation,[],[f155,f135]) ).
tff(f135,plain,
! [X1: $int] : ( 0 = $product(0,X1) ),
inference(superposition,[],[f32,f35]) ).
tff(f35,plain,
! [X0: $int] : ( 0 = $product(X0,0) ),
introduced(theory_axiom_154,[]) ).
tff(f155,plain,
0 = $sum($sum($product(1000,x6),$sum($product(0,x4),$sum($uminus(x2),$product(1,x3)))),$uminus(x1)),
inference(forward_demodulation,[],[f143,f130]) ).
tff(f143,plain,
0 = $sum($sum($product(1000,x6),$sum(0,$sum($product(0,x4),$sum($uminus(x2),$product(1,x3))))),$uminus(x1)),
inference(backward_demodulation,[],[f124,f135]) ).
tff(f124,plain,
0 = $sum($sum($product(1000,x6),$sum($product(0,x5),$sum($product(0,x4),$sum($uminus(x2),$product(1,x3))))),$uminus(x1)),
inference(forward_demodulation,[],[f123,f21]) ).
tff(f123,plain,
0 = $sum($sum($product(1000,x6),$sum($product(0,x5),$sum($product(0,x4),$sum($product(1,x3),$uminus(x2))))),$uminus(x1)),
inference(forward_demodulation,[],[f122,f22]) ).
tff(f122,plain,
0 = $sum($sum($sum($product(1000,x6),$product(0,x5)),$sum($product(0,x4),$sum($product(1,x3),$uminus(x2)))),$uminus(x1)),
inference(forward_demodulation,[],[f121,f22]) ).
tff(f121,plain,
0 = $sum($sum($sum($sum($product(1000,x6),$product(0,x5)),$product(0,x4)),$sum($product(1,x3),$uminus(x2))),$uminus(x1)),
inference(forward_demodulation,[],[f60,f22]) ).
tff(f60,plain,
0 = $sum($sum($sum($sum($sum($product(1000,x6),$product(0,x5)),$product(0,x4)),$product(1,x3)),$uminus(x2)),$uminus(x1)),
inference(definition_unfolding,[],[f49,f46]) ).
tff(f46,plain,
n = 1000,
inference(cnf_transformation,[],[f1]) ).
tff(f1,axiom,
n = 1000,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',eq1) ).
tff(f49,plain,
0 = $sum($sum($sum($sum($sum($product(n,x6),$product(0,x5)),$product(0,x4)),$product(1,x3)),$uminus(x2)),$uminus(x1)),
inference(cnf_transformation,[],[f42]) ).
tff(f42,plain,
0 = $sum($sum($sum($sum($sum($product(n,x6),$product(0,x5)),$product(0,x4)),$product(1,x3)),$uminus(x2)),$uminus(x1)),
inference(theory_normalization,[],[f20]) ).
tff(f20,plain,
0 = $sum($difference($sum($sum($sum($product(n,x6),$product(0,x5)),$product(0,x4)),$product(1,x3)),x2),$uminus(x1)),
inference(theory_normalization,[],[f8]) ).
tff(f8,axiom,
0 = $difference($difference($sum($sum($sum($product(n,x6),$product(0,x5)),$product(0,x4)),$product(1,x3)),x2),x1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',eq8) ).
tff(f281,plain,
! [X2: $int,X3: $int] :
( $less(0,$sum(X3,$uminus(X2)))
| ~ $less(X2,X3) ),
inference(superposition,[],[f29,f25]) ).
tff(f29,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less($sum(X0,X2),$sum(X1,X2))
| ~ $less(X0,X1) ),
introduced(theory_axiom_150,[]) ).
tff(f813,plain,
( $less(x2,x3)
| ( x3 = x2 )
| ~ spl0_8 ),
inference(resolution,[],[f782,f28]) ).
tff(f28,plain,
! [X0: $int,X1: $int] :
( $less(X1,X0)
| $less(X0,X1)
| ( X0 = X1 ) ),
introduced(theory_axiom_149,[]) ).
tff(f782,plain,
( ~ $less(x3,x2)
| ~ spl0_8 ),
inference(evaluation,[],[f777]) ).
tff(f777,plain,
( $less(0,0)
| ~ $less(x3,x2)
| ~ spl0_8 ),
inference(superposition,[],[f290,f753]) ).
tff(f710,plain,
( ( 0 = $sum(x2,$sum(x1,x1)) )
| ~ spl0_8 ),
inference(backward_demodulation,[],[f354,f667]) ).
tff(f354,plain,
0 = $sum(x2,$sum(x1,$product(1000,x6))),
inference(forward_demodulation,[],[f333,f21]) ).
tff(f333,plain,
0 = $sum(x2,$sum($product(1000,x6),x1)),
inference(superposition,[],[f177,f22]) ).
tff(f177,plain,
0 = $sum($sum(x2,$product(1000,x6)),x1),
inference(forward_demodulation,[],[f176,f21]) ).
tff(f176,plain,
0 = $sum($sum($product(1000,x6),x2),x1),
inference(forward_demodulation,[],[f170,f138]) ).
tff(f170,plain,
0 = $sum($sum($product(1000,x6),x2),$product(1,x1)),
inference(backward_demodulation,[],[f153,f138]) ).
tff(f153,plain,
0 = $sum($sum($product(1000,x6),$product(1,x2)),$product(1,x1)),
inference(forward_demodulation,[],[f152,f130]) ).
tff(f152,plain,
0 = $sum($sum($product(1000,x6),$sum(0,$product(1,x2))),$product(1,x1)),
inference(forward_demodulation,[],[f151,f135]) ).
tff(f151,plain,
0 = $sum($sum($product(1000,x6),$sum($product(0,x4),$product(1,x2))),$product(1,x1)),
inference(forward_demodulation,[],[f150,f130]) ).
tff(f150,plain,
0 = $sum($sum($product(1000,x6),$sum($product(0,x4),$sum(0,$product(1,x2)))),$product(1,x1)),
inference(forward_demodulation,[],[f149,f135]) ).
tff(f149,plain,
0 = $sum($sum($product(1000,x6),$sum($product(0,x4),$sum($product(0,x3),$product(1,x2)))),$product(1,x1)),
inference(forward_demodulation,[],[f146,f130]) ).
tff(f146,plain,
0 = $sum($sum($product(1000,x6),$sum(0,$sum($product(0,x4),$sum($product(0,x3),$product(1,x2))))),$product(1,x1)),
inference(backward_demodulation,[],[f100,f135]) ).
tff(f100,plain,
0 = $sum($sum($product(1000,x6),$sum($product(0,x5),$sum($product(0,x4),$sum($product(0,x3),$product(1,x2))))),$product(1,x1)),
inference(forward_demodulation,[],[f99,f22]) ).
tff(f99,plain,
0 = $sum($sum($sum($product(1000,x6),$product(0,x5)),$sum($product(0,x4),$sum($product(0,x3),$product(1,x2)))),$product(1,x1)),
inference(forward_demodulation,[],[f98,f22]) ).
tff(f98,plain,
0 = $sum($sum($sum($sum($product(1000,x6),$product(0,x5)),$product(0,x4)),$sum($product(0,x3),$product(1,x2))),$product(1,x1)),
inference(forward_demodulation,[],[f57,f22]) ).
tff(f57,plain,
0 = $sum($sum($sum($sum($sum($product(1000,x6),$product(0,x5)),$product(0,x4)),$product(0,x3)),$product(1,x2)),$product(1,x1)),
inference(definition_unfolding,[],[f45,f46]) ).
tff(f45,plain,
0 = $sum($sum($sum($sum($sum($product(n,x6),$product(0,x5)),$product(0,x4)),$product(0,x3)),$product(1,x2)),$product(1,x1)),
inference(cnf_transformation,[],[f9]) ).
tff(f9,axiom,
0 = $sum($sum($sum($sum($sum($product(n,x6),$product(0,x5)),$product(0,x4)),$product(0,x3)),$product(1,x2)),$product(1,x1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',eq9) ).
tff(f872,plain,
( ( 0 = $sum(x3,$sum(x3,$sum(x1,$sum(x1,$uminus(x4))))) )
| ~ spl0_8 ),
inference(backward_demodulation,[],[f757,f815]) ).
tff(f757,plain,
( ( 0 = $sum(x3,$sum(x2,$sum(x1,$sum(x1,$uminus(x4))))) )
| ~ spl0_8 ),
inference(forward_demodulation,[],[f728,f337]) ).
tff(f728,plain,
( ( 0 = $sum(x3,$sum(x2,$sum(x1,$sum($uminus(x4),x1)))) )
| ~ spl0_8 ),
inference(backward_demodulation,[],[f554,f667]) ).
tff(f554,plain,
0 = $sum(x3,$sum(x2,$sum(x1,$sum($uminus(x4),$product(1000,x6))))),
inference(forward_demodulation,[],[f553,f337]) ).
tff(f553,plain,
0 = $sum(x3,$sum(x2,$sum($uminus(x4),$sum($product(1000,x6),x1)))),
inference(forward_demodulation,[],[f552,f22]) ).
tff(f552,plain,
0 = $sum(x3,$sum(x2,$sum($sum($uminus(x4),$product(1000,x6)),x1))),
inference(forward_demodulation,[],[f546,f22]) ).
tff(f546,plain,
0 = $sum(x3,$sum($sum(x2,$sum($uminus(x4),$product(1000,x6))),x1)),
inference(superposition,[],[f22,f351]) ).
tff(f351,plain,
0 = $sum($sum(x3,$sum(x2,$sum($uminus(x4),$product(1000,x6)))),x1),
inference(forward_demodulation,[],[f350,f21]) ).
tff(f350,plain,
0 = $sum($sum(x3,$sum(x2,$sum($product(1000,x6),$uminus(x4)))),x1),
inference(forward_demodulation,[],[f349,f22]) ).
tff(f349,plain,
0 = $sum($sum(x3,$sum($sum(x2,$product(1000,x6)),$uminus(x4))),x1),
inference(forward_demodulation,[],[f348,f337]) ).
tff(f348,plain,
0 = $sum($sum($uminus(x4),$sum(x3,$sum(x2,$product(1000,x6)))),x1),
inference(forward_demodulation,[],[f344,f22]) ).
tff(f344,plain,
0 = $sum($sum($uminus(x4),$sum($sum(x3,x2),$product(1000,x6))),x1),
inference(backward_demodulation,[],[f174,f337]) ).
tff(f174,plain,
0 = $sum($sum($product(1000,x6),$sum($uminus(x4),$sum(x3,x2))),x1),
inference(forward_demodulation,[],[f171,f138]) ).
tff(f171,plain,
0 = $sum($sum($product(1000,x6),$sum($uminus(x4),$product(1,$sum(x3,x2)))),x1),
inference(backward_demodulation,[],[f165,f138]) ).
tff(f165,plain,
0 = $sum($sum($product(1000,x6),$sum($uminus(x4),$product(1,$sum(x3,x2)))),$product(1,x1)),
inference(forward_demodulation,[],[f145,f130]) ).
tff(f145,plain,
0 = $sum($sum($product(1000,x6),$sum(0,$sum($uminus(x4),$product(1,$sum(x3,x2))))),$product(1,x1)),
inference(backward_demodulation,[],[f112,f135]) ).
tff(f112,plain,
0 = $sum($sum($product(1000,x6),$sum($product(0,x5),$sum($uminus(x4),$product(1,$sum(x3,x2))))),$product(1,x1)),
inference(forward_demodulation,[],[f111,f36]) ).
tff(f36,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum($product(X0,X1),$product(X0,X2)) = $product(X0,$sum(X1,X2)) ),
introduced(theory_axiom_155,[]) ).
tff(f111,plain,
0 = $sum($sum($product(1000,x6),$sum($product(0,x5),$sum($uminus(x4),$sum($product(1,x3),$product(1,x2))))),$product(1,x1)),
inference(forward_demodulation,[],[f110,f22]) ).
tff(f110,plain,
0 = $sum($sum($sum($product(1000,x6),$product(0,x5)),$sum($uminus(x4),$sum($product(1,x3),$product(1,x2)))),$product(1,x1)),
inference(forward_demodulation,[],[f109,f22]) ).
tff(f109,plain,
0 = $sum($sum($sum($sum($product(1000,x6),$product(0,x5)),$uminus(x4)),$sum($product(1,x3),$product(1,x2))),$product(1,x1)),
inference(forward_demodulation,[],[f62,f22]) ).
tff(f62,plain,
0 = $sum($sum($sum($sum($sum($product(1000,x6),$product(0,x5)),$uminus(x4)),$product(1,x3)),$product(1,x2)),$product(1,x1)),
inference(definition_unfolding,[],[f51,f46]) ).
tff(f51,plain,
0 = $sum($sum($sum($sum($sum($product(n,x6),$product(0,x5)),$uminus(x4)),$product(1,x3)),$product(1,x2)),$product(1,x1)),
inference(cnf_transformation,[],[f15]) ).
tff(f15,plain,
0 = $sum($sum($sum($sum($sum($product(n,x6),$product(0,x5)),$uminus(x4)),$product(1,x3)),$product(1,x2)),$product(1,x1)),
inference(theory_normalization,[],[f6]) ).
tff(f6,axiom,
0 = $sum($sum($sum($difference($sum($product(n,x6),$product(0,x5)),x4),$product(1,x3)),$product(1,x2)),$product(1,x1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',eq6) ).
tff(f290,plain,
! [X2: $int,X3: $int] :
( $less($sum(X3,$uminus(X2)),0)
| ~ $less(X3,X2) ),
inference(superposition,[],[f29,f25]) ).
tff(f959,plain,
( $less(x3,x4)
| ( x4 = x3 )
| ~ spl0_8 ),
inference(resolution,[],[f956,f28]) ).
tff(f956,plain,
( ~ $less(x4,x3)
| ~ spl0_8 ),
inference(evaluation,[],[f952]) ).
tff(f952,plain,
( ~ $less(x4,x3)
| $less(0,0)
| ~ spl0_8 ),
inference(superposition,[],[f281,f950]) ).
tff(f821,plain,
( ( 0 = $sum(x6,$product(1000,$sum(x5,$sum(x3,x1)))) )
| ~ spl0_8 ),
inference(backward_demodulation,[],[f615,f815]) ).
tff(f615,plain,
0 = $sum(x6,$product(1000,$sum(x5,$sum(x2,x1)))),
inference(backward_demodulation,[],[f583,f604]) ).
tff(f604,plain,
! [X0: $int] : ( $sum(x4,$sum(x3,X0)) = X0 ),
inference(forward_demodulation,[],[f601,f130]) ).
tff(f601,plain,
! [X0: $int] : ( $sum(0,X0) = $sum(x4,$sum(x3,X0)) ),
inference(superposition,[],[f22,f521]) ).
tff(f521,plain,
0 = $sum(x4,x3),
inference(forward_demodulation,[],[f520,f23]) ).
tff(f520,plain,
0 = $sum(x4,$sum(x3,0)),
inference(forward_demodulation,[],[f519,f354]) ).
tff(f519,plain,
0 = $sum(x4,$sum(x3,$sum(x2,$sum(x1,$product(1000,x6))))),
inference(forward_demodulation,[],[f518,f21]) ).
tff(f518,plain,
0 = $sum(x4,$sum(x3,$sum(x2,$sum($product(1000,x6),x1)))),
inference(forward_demodulation,[],[f517,f22]) ).
tff(f517,plain,
0 = $sum(x4,$sum(x3,$sum($sum(x2,$product(1000,x6)),x1))),
inference(forward_demodulation,[],[f507,f22]) ).
tff(f507,plain,
0 = $sum(x4,$sum($sum(x3,$sum(x2,$product(1000,x6))),x1)),
inference(superposition,[],[f347,f22]) ).
tff(f347,plain,
0 = $sum($sum(x4,$sum(x3,$sum(x2,$product(1000,x6)))),x1),
inference(forward_demodulation,[],[f346,f22]) ).
tff(f346,plain,
0 = $sum($sum(x4,$sum($sum(x3,x2),$product(1000,x6))),x1),
inference(backward_demodulation,[],[f179,f337]) ).
tff(f179,plain,
0 = $sum($sum($product(1000,x6),$sum(x4,$sum(x3,x2))),x1),
inference(forward_demodulation,[],[f172,f138]) ).
tff(f172,plain,
0 = $sum($sum($product(1000,x6),$product(1,$sum(x4,$sum(x3,x2)))),x1),
inference(backward_demodulation,[],[f164,f138]) ).
tff(f164,plain,
0 = $sum($sum($product(1000,x6),$product(1,$sum(x4,$sum(x3,x2)))),$product(1,x1)),
inference(forward_demodulation,[],[f144,f130]) ).
tff(f144,plain,
0 = $sum($sum($product(1000,x6),$sum(0,$product(1,$sum(x4,$sum(x3,x2))))),$product(1,x1)),
inference(backward_demodulation,[],[f120,f135]) ).
tff(f120,plain,
0 = $sum($sum($product(1000,x6),$sum($product(0,x5),$product(1,$sum(x4,$sum(x3,x2))))),$product(1,x1)),
inference(forward_demodulation,[],[f119,f36]) ).
tff(f119,plain,
0 = $sum($sum($product(1000,x6),$sum($product(0,x5),$sum($product(1,x4),$product(1,$sum(x3,x2))))),$product(1,x1)),
inference(forward_demodulation,[],[f118,f36]) ).
tff(f118,plain,
0 = $sum($sum($product(1000,x6),$sum($product(0,x5),$sum($product(1,x4),$sum($product(1,x3),$product(1,x2))))),$product(1,x1)),
inference(forward_demodulation,[],[f117,f22]) ).
tff(f117,plain,
0 = $sum($sum($sum($product(1000,x6),$product(0,x5)),$sum($product(1,x4),$sum($product(1,x3),$product(1,x2)))),$product(1,x1)),
inference(forward_demodulation,[],[f116,f22]) ).
tff(f116,plain,
0 = $sum($sum($sum($sum($product(1000,x6),$product(0,x5)),$product(1,x4)),$sum($product(1,x3),$product(1,x2))),$product(1,x1)),
inference(forward_demodulation,[],[f58,f22]) ).
tff(f58,plain,
0 = $sum($sum($sum($sum($sum($product(1000,x6),$product(0,x5)),$product(1,x4)),$product(1,x3)),$product(1,x2)),$product(1,x1)),
inference(definition_unfolding,[],[f47,f46]) ).
tff(f47,plain,
0 = $sum($sum($sum($sum($sum($product(n,x6),$product(0,x5)),$product(1,x4)),$product(1,x3)),$product(1,x2)),$product(1,x1)),
inference(cnf_transformation,[],[f5]) ).
tff(f5,axiom,
0 = $sum($sum($sum($sum($sum($product(n,x6),$product(0,x5)),$product(1,x4)),$product(1,x3)),$product(1,x2)),$product(1,x1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',eq5) ).
tff(f583,plain,
0 = $sum(x6,$product(1000,$sum(x5,$sum(x4,$sum(x3,$sum(x2,x1)))))),
inference(forward_demodulation,[],[f582,f22]) ).
tff(f582,plain,
0 = $sum(x6,$product(1000,$sum(x5,$sum(x4,$sum($sum(x3,x2),x1))))),
inference(forward_demodulation,[],[f581,f22]) ).
tff(f581,plain,
0 = $sum(x6,$product(1000,$sum(x5,$sum($sum(x4,$sum(x3,x2)),x1)))),
inference(forward_demodulation,[],[f580,f22]) ).
tff(f580,plain,
0 = $sum(x6,$product(1000,$sum($sum(x5,$sum(x4,$sum(x3,x2))),x1))),
inference(forward_demodulation,[],[f574,f36]) ).
tff(f574,plain,
0 = $sum(x6,$sum($product(1000,$sum(x5,$sum(x4,$sum(x3,x2)))),$product(1000,x1))),
inference(superposition,[],[f22,f167]) ).
tff(f167,plain,
0 = $sum($sum(x6,$product(1000,$sum(x5,$sum(x4,$sum(x3,x2))))),$product(1000,x1)),
inference(backward_demodulation,[],[f97,f138]) ).
tff(f97,plain,
0 = $sum($sum($product(1,x6),$product(1000,$sum(x5,$sum(x4,$sum(x3,x2))))),$product(1000,x1)),
inference(forward_demodulation,[],[f96,f36]) ).
tff(f96,plain,
0 = $sum($sum($product(1,x6),$sum($product(1000,x5),$product(1000,$sum(x4,$sum(x3,x2))))),$product(1000,x1)),
inference(forward_demodulation,[],[f95,f36]) ).
tff(f95,plain,
0 = $sum($sum($product(1,x6),$sum($product(1000,x5),$sum($product(1000,x4),$product(1000,$sum(x3,x2))))),$product(1000,x1)),
inference(forward_demodulation,[],[f94,f36]) ).
tff(f94,plain,
0 = $sum($sum($product(1,x6),$sum($product(1000,x5),$sum($product(1000,x4),$sum($product(1000,x3),$product(1000,x2))))),$product(1000,x1)),
inference(forward_demodulation,[],[f93,f22]) ).
tff(f93,plain,
0 = $sum($sum($sum($product(1,x6),$product(1000,x5)),$sum($product(1000,x4),$sum($product(1000,x3),$product(1000,x2)))),$product(1000,x1)),
inference(forward_demodulation,[],[f92,f22]) ).
tff(f92,plain,
0 = $sum($sum($sum($sum($product(1,x6),$product(1000,x5)),$product(1000,x4)),$sum($product(1000,x3),$product(1000,x2))),$product(1000,x1)),
inference(forward_demodulation,[],[f61,f22]) ).
tff(f61,plain,
0 = $sum($sum($sum($sum($sum($product(1,x6),$product(1000,x5)),$product(1000,x4)),$product(1000,x3)),$product(1000,x2)),$product(1000,x1)),
inference(definition_unfolding,[],[f50,f46,f46,f46,f46,f46]) ).
tff(f50,plain,
$sum($sum($sum($sum($sum($product(1,x6),$product(n,x5)),$product(n,x4)),$product(n,x3)),$product(n,x2)),$product(n,x1)) = 0,
inference(cnf_transformation,[],[f2]) ).
tff(f2,axiom,
$sum($sum($sum($sum($sum($product(1,x6),$product(n,x5)),$product(n,x4)),$product(n,x3)),$product(n,x2)),$product(n,x1)) = 0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',eq2) ).
tff(f479,plain,
! [X2: $int,X3: $int] :
( ( 0 != $product(X2,X3) )
| ( 0 = X3 )
| ( 0 = X2 ) ),
inference(superposition,[],[f66,f35]) ).
tff(f66,plain,
! [X2: $int,X3: $int,X0: $int] :
( ( $product(X0,X3) != $product(X0,X2) )
| ( X2 = X3 )
| ( 0 = X0 ) ),
inference(equality_resolution,[],[f37]) ).
tff(f37,plain,
! [X2: $int,X3: $int,X0: $int,X1: $int] :
( ( 0 = X0 )
| ( $product(X0,X2) != X1 )
| ( X2 = X3 )
| ( $product(X0,X3) != X1 ) ),
introduced(theory_axiom_156,[]) ).
tff(f2539,plain,
( spl0_4
| ~ spl0_6
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f2538,f665,f88,f80]) ).
tff(f2538,plain,
( ( x6 = 0 )
| ~ spl0_6
| ~ spl0_8 ),
inference(evaluation,[],[f2537]) ).
tff(f2537,plain,
( ( x6 = 0 )
| ( 1000 = 0 )
| ~ spl0_6
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f2532]) ).
tff(f2532,plain,
( ( x6 = 0 )
| ( 1000 = 0 )
| ( 0 != 0 )
| ~ spl0_6
| ~ spl0_8 ),
inference(superposition,[],[f479,f1713]) ).
tff(f1713,plain,
( ( 0 = $product(1000,x6) )
| ~ spl0_6
| ~ spl0_8 ),
inference(backward_demodulation,[],[f667,f89]) ).
tff(f1706,plain,
( ~ spl0_15
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f1705]) ).
tff(f1705,plain,
( $false
| ~ spl0_15
| ~ spl0_16 ),
inference(evaluation,[],[f1702]) ).
tff(f1702,plain,
( $less(0,0)
| ~ spl0_15
| ~ spl0_16 ),
inference(resolution,[],[f1660,f1601]) ).
tff(f1601,plain,
( $less(0,x1)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f1599]) ).
tff(f1599,plain,
( spl0_16
<=> $less(0,x1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
tff(f1660,plain,
( ! [X0: $int] :
( ~ $less(X0,x1)
| $less(X0,0) )
| ~ spl0_15 ),
inference(resolution,[],[f1595,f27]) ).
tff(f27,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X1,X2)
| ~ $less(X0,X1)
| $less(X0,X2) ),
introduced(theory_axiom_148,[]) ).
tff(f1595,plain,
( $less(x1,0)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f1594]) ).
tff(f1594,plain,
( spl0_15
<=> $less(x1,0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
tff(f1618,plain,
( spl0_6
| spl0_15
| spl0_16 ),
inference(avatar_split_clause,[],[f1617,f1599,f1594,f88]) ).
tff(f1617,plain,
( ( x1 = 0 )
| spl0_15
| spl0_16 ),
inference(subsumption_resolution,[],[f1613,f1600]) ).
tff(f1600,plain,
( ~ $less(0,x1)
| spl0_16 ),
inference(avatar_component_clause,[],[f1599]) ).
tff(f1613,plain,
( $less(0,x1)
| ( x1 = 0 )
| spl0_15 ),
inference(resolution,[],[f1596,f28]) ).
tff(f1596,plain,
( ~ $less(x1,0)
| spl0_15 ),
inference(avatar_component_clause,[],[f1594]) ).
tff(f1603,plain,
( spl0_15
| ~ spl0_16
| ~ spl0_5
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f1586,f665,f84,f1599,f1594]) ).
tff(f1586,plain,
( ~ $less(0,x1)
| $less(x1,0)
| ~ spl0_5
| ~ spl0_8 ),
inference(superposition,[],[f681,f1493]) ).
tff(f1493,plain,
( ( x1 = $uminus(x1) )
| ~ spl0_5
| ~ spl0_8 ),
inference(evaluation,[],[f1443]) ).
tff(f1443,plain,
( ( $sum($sum(0,x1),0) = $uminus(x1) )
| ~ spl0_5
| ~ spl0_8 ),
inference(backward_demodulation,[],[f1148,f85]) ).
tff(f1148,plain,
( ( $sum($sum(x4,x1),0) = $uminus(x1) )
| ~ spl0_8 ),
inference(superposition,[],[f1025,f25]) ).
tff(f1025,plain,
( ! [X0: $int] : ( $sum($sum(x4,x1),$sum(x1,X0)) = X0 )
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1014,f401]) ).
tff(f401,plain,
! [X3: $int,X4: $int] : ( $sum(X3,$sum(X4,$uminus(X3))) = X4 ),
inference(superposition,[],[f353,f21]) ).
tff(f1014,plain,
( ! [X0: $int] : ( $sum($sum(x4,$sum(x4,$sum(x1,$uminus(x4)))),$sum(x1,X0)) = X0 )
| ~ spl0_8 ),
inference(backward_demodulation,[],[f871,f961]) ).
tff(f871,plain,
( ! [X0: $int] : ( $sum($sum(x3,$sum(x3,$sum(x1,$uminus(x4)))),$sum(x1,X0)) = X0 )
| ~ spl0_8 ),
inference(backward_demodulation,[],[f756,f815]) ).
tff(f756,plain,
( ! [X0: $int] : ( $sum($sum(x3,$sum(x2,$sum(x1,$uminus(x4)))),$sum(x1,X0)) = X0 )
| ~ spl0_8 ),
inference(forward_demodulation,[],[f729,f21]) ).
tff(f729,plain,
( ! [X0: $int] : ( $sum($sum(x3,$sum(x2,$sum($uminus(x4),x1))),$sum(x1,X0)) = X0 )
| ~ spl0_8 ),
inference(backward_demodulation,[],[f555,f667]) ).
tff(f555,plain,
! [X0: $int] : ( $sum($sum(x3,$sum(x2,$sum($uminus(x4),$product(1000,x6)))),$sum(x1,X0)) = X0 ),
inference(forward_demodulation,[],[f547,f130]) ).
tff(f547,plain,
! [X0: $int] : ( $sum(0,X0) = $sum($sum(x3,$sum(x2,$sum($uminus(x4),$product(1000,x6)))),$sum(x1,X0)) ),
inference(superposition,[],[f22,f351]) ).
tff(f681,plain,
! [X8: $int] :
( $less($uminus(X8),0)
| ~ $less(0,X8) ),
inference(superposition,[],[f290,f130]) ).
tff(f1602,plain,
( spl0_16
| ~ spl0_15
| ~ spl0_5
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f1585,f665,f84,f1594,f1599]) ).
tff(f1585,plain,
( ~ $less(x1,0)
| $less(0,x1)
| ~ spl0_5
| ~ spl0_8 ),
inference(superposition,[],[f648,f1493]) ).
tff(f648,plain,
! [X8: $int] :
( $less(0,$uminus(X8))
| ~ $less(X8,0) ),
inference(superposition,[],[f281,f130]) ).
tff(f1550,plain,
( spl0_1
| ~ spl0_5
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f1421,f665,f84,f68]) ).
tff(f68,plain,
( spl0_1
<=> ( x3 = 0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
tff(f1421,plain,
( ( x3 = 0 )
| ~ spl0_5
| ~ spl0_8 ),
inference(backward_demodulation,[],[f961,f85]) ).
tff(f1532,plain,
( spl0_3
| ~ spl0_5
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f1426,f665,f84,f76]) ).
tff(f76,plain,
( spl0_3
<=> ( x2 = 0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
tff(f1426,plain,
( ( x2 = 0 )
| ~ spl0_5
| ~ spl0_8 ),
inference(backward_demodulation,[],[f966,f85]) ).
tff(f966,plain,
( ( x4 = x2 )
| ~ spl0_8 ),
inference(backward_demodulation,[],[f815,f961]) ).
tff(f1420,plain,
( ~ spl0_9
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f1419]) ).
tff(f1419,plain,
( $false
| ~ spl0_9
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f1409,f26]) ).
tff(f26,plain,
! [X0: $int] : ~ $less(X0,X0),
introduced(theory_axiom_147,[]) ).
tff(f1409,plain,
( $less(x4,x4)
| ~ spl0_9
| ~ spl0_10 ),
inference(resolution,[],[f1366,f1307]) ).
tff(f1307,plain,
( $less(x4,0)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f1305]) ).
tff(f1305,plain,
( spl0_10
<=> $less(x4,0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
tff(f1366,plain,
( ! [X0: $int] :
( ~ $less(X0,0)
| $less(X0,x4) )
| ~ spl0_9 ),
inference(resolution,[],[f1302,f27]) ).
tff(f1302,plain,
( $less(0,x4)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f1301]) ).
tff(f1301,plain,
( spl0_9
<=> $less(0,x4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
tff(f1325,plain,
( spl0_5
| spl0_9
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f1324]) ).
tff(f1324,plain,
( $false
| spl0_5
| spl0_9
| spl0_10 ),
inference(subsumption_resolution,[],[f1323,f86]) ).
tff(f86,plain,
( ( x4 != 0 )
| spl0_5 ),
inference(avatar_component_clause,[],[f84]) ).
tff(f1323,plain,
( ( x4 = 0 )
| spl0_9
| spl0_10 ),
inference(subsumption_resolution,[],[f1319,f1306]) ).
tff(f1306,plain,
( ~ $less(x4,0)
| spl0_10 ),
inference(avatar_component_clause,[],[f1305]) ).
tff(f1319,plain,
( $less(x4,0)
| ( x4 = 0 )
| spl0_9 ),
inference(resolution,[],[f1303,f28]) ).
tff(f1303,plain,
( ~ $less(0,x4)
| spl0_9 ),
inference(avatar_component_clause,[],[f1301]) ).
tff(f1315,plain,
( ~ spl0_10
| spl0_9
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f1298,f665,f1301,f1305]) ).
tff(f1298,plain,
( $less(0,x4)
| ~ $less(x4,0)
| ~ spl0_8 ),
inference(superposition,[],[f648,f1258]) ).
tff(f1258,plain,
( ( x4 = $uminus(x4) )
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1250,f23]) ).
tff(f1250,plain,
( ( $sum(x4,0) = $uminus(x4) )
| ~ spl0_8 ),
inference(superposition,[],[f965,f25]) ).
tff(f965,plain,
( ! [X0: $int] : ( $sum(x4,$sum(x4,X0)) = X0 )
| ~ spl0_8 ),
inference(backward_demodulation,[],[f604,f961]) ).
tff(f1308,plain,
( ~ spl0_9
| spl0_10
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f1299,f665,f1305,f1301]) ).
tff(f1299,plain,
( $less(x4,0)
| ~ $less(0,x4)
| ~ spl0_8 ),
inference(superposition,[],[f681,f1258]) ).
tff(f693,plain,
~ spl0_7,
inference(avatar_split_clause,[],[f689,f661]) ).
tff(f661,plain,
( spl0_7
<=> $less($product(1000,x6),x1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
tff(f689,plain,
~ $less($product(1000,x6),x1),
inference(evaluation,[],[f675]) ).
tff(f675,plain,
( ~ $less($product(1000,x6),x1)
| $less(0,0) ),
inference(superposition,[],[f290,f154]) ).
tff(f154,plain,
0 = $sum($product(1000,x6),$uminus(x1)),
inference(forward_demodulation,[],[f147,f23]) ).
tff(f147,plain,
0 = $sum($sum($product(1000,x6),0),$uminus(x1)),
inference(backward_demodulation,[],[f106,f135]) ).
tff(f106,plain,
0 = $sum($sum($product(1000,x6),$product(0,$sum(x5,$sum(x4,$sum(x3,x2))))),$uminus(x1)),
inference(forward_demodulation,[],[f105,f36]) ).
tff(f105,plain,
0 = $sum($sum($product(1000,x6),$sum($product(0,x5),$product(0,$sum(x4,$sum(x3,x2))))),$uminus(x1)),
inference(forward_demodulation,[],[f104,f36]) ).
tff(f104,plain,
0 = $sum($sum($product(1000,x6),$sum($product(0,x5),$sum($product(0,x4),$product(0,$sum(x3,x2))))),$uminus(x1)),
inference(forward_demodulation,[],[f103,f36]) ).
tff(f103,plain,
0 = $sum($sum($product(1000,x6),$sum($product(0,x5),$sum($product(0,x4),$sum($product(0,x3),$product(0,x2))))),$uminus(x1)),
inference(forward_demodulation,[],[f102,f22]) ).
tff(f102,plain,
0 = $sum($sum($sum($product(1000,x6),$product(0,x5)),$sum($product(0,x4),$sum($product(0,x3),$product(0,x2)))),$uminus(x1)),
inference(forward_demodulation,[],[f101,f22]) ).
tff(f101,plain,
0 = $sum($sum($sum($sum($product(1000,x6),$product(0,x5)),$product(0,x4)),$sum($product(0,x3),$product(0,x2))),$uminus(x1)),
inference(forward_demodulation,[],[f65,f22]) ).
tff(f65,plain,
0 = $sum($sum($sum($sum($sum($product(1000,x6),$product(0,x5)),$product(0,x4)),$product(0,x3)),$product(0,x2)),$uminus(x1)),
inference(definition_unfolding,[],[f55,f46]) ).
tff(f55,plain,
0 = $sum($sum($sum($sum($sum($product(n,x6),$product(0,x5)),$product(0,x4)),$product(0,x3)),$product(0,x2)),$uminus(x1)),
inference(cnf_transformation,[],[f18]) ).
tff(f18,plain,
0 = $sum($sum($sum($sum($sum($product(n,x6),$product(0,x5)),$product(0,x4)),$product(0,x3)),$product(0,x2)),$uminus(x1)),
inference(theory_normalization,[],[f11]) ).
tff(f11,axiom,
0 = $difference($sum($sum($sum($sum($product(n,x6),$product(0,x5)),$product(0,x4)),$product(0,x3)),$product(0,x2)),x1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',eq11) ).
tff(f669,plain,
( spl0_7
| spl0_8 ),
inference(avatar_split_clause,[],[f658,f665,f661]) ).
tff(f658,plain,
( ( x1 = $product(1000,x6) )
| $less($product(1000,x6),x1) ),
inference(resolution,[],[f653,f28]) ).
tff(f653,plain,
~ $less(x1,$product(1000,x6)),
inference(evaluation,[],[f642]) ).
tff(f642,plain,
( $less(0,0)
| ~ $less(x1,$product(1000,x6)) ),
inference(superposition,[],[f281,f154]) ).
tff(f91,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f53,f88,f84,f80,f76,f72,f68]) ).
tff(f53,plain,
( ( x1 != 0 )
| ( x4 != 0 )
| ( x6 != 0 )
| ( x2 != 0 )
| ( x5 != 0 )
| ( x3 != 0 ) ),
inference(cnf_transformation,[],[f43]) ).
tff(f43,plain,
( ( x4 != 0 )
| ( x1 != 0 )
| ( x5 != 0 )
| ( x2 != 0 )
| ( x3 != 0 )
| ( x6 != 0 ) ),
inference(ennf_transformation,[],[f13]) ).
tff(f13,negated_conjecture,
~ ( ( x3 = 0 )
& ( x6 = 0 )
& ( x4 = 0 )
& ( x2 = 0 )
& ( x1 = 0 )
& ( x5 = 0 ) ),
inference(negated_conjecture,[],[f12]) ).
tff(f12,conjecture,
( ( x3 = 0 )
& ( x6 = 0 )
& ( x4 = 0 )
& ( x2 = 0 )
& ( x1 = 0 )
& ( x5 = 0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : ARI698=1 : TPTP v8.1.0. Released v6.3.0.
% 0.06/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33 % Computer : n021.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Aug 29 15:53:10 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.49 % (19354)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.49 % (19362)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.49 % (19375)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.19/0.49 % (19370)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.49 % (19370)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.19/0.50 % (19367)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.50 % (19370)Terminated due to inappropriate strategy.
% 0.19/0.50 % (19370)------------------------------
% 0.19/0.50 % (19370)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (19370)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (19370)Termination reason: Inappropriate
% 0.19/0.50
% 0.19/0.50 % (19370)Memory used [KB]: 895
% 0.19/0.50 % (19370)Time elapsed: 0.005 s
% 0.19/0.50 % (19370)Instructions burned: 4 (million)
% 0.19/0.50 % (19370)------------------------------
% 0.19/0.50 % (19370)------------------------------
% 0.19/0.50 % (19359)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.50 % (19359)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.19/0.51 % (19378)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.29/0.51 % (19353)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 1.29/0.51 % (19353)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 1.29/0.51 % (19353)Terminated due to inappropriate strategy.
% 1.29/0.51 % (19353)------------------------------
% 1.29/0.51 % (19353)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.29/0.51 % (19353)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.29/0.51 % (19353)Termination reason: Inappropriate
% 1.29/0.51
% 1.29/0.51 % (19353)Memory used [KB]: 895
% 1.29/0.51 % (19353)Time elapsed: 0.002 s
% 1.29/0.51 % (19353)Instructions burned: 2 (million)
% 1.29/0.51 % (19353)------------------------------
% 1.29/0.51 % (19353)------------------------------
% 1.29/0.51 % (19381)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.29/0.51 % (19358)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.29/0.52 % (19355)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.29/0.52 % (19356)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.29/0.52 % (19357)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.29/0.52 % (19369)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.29/0.52 % (19359)Terminated due to inappropriate strategy.
% 1.29/0.52 % (19359)------------------------------
% 1.29/0.52 % (19359)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.29/0.52 % (19359)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.29/0.52 % (19359)Termination reason: Inappropriate
% 1.29/0.52
% 1.29/0.52 % (19359)Memory used [KB]: 895
% 1.29/0.52 % (19359)Time elapsed: 0.003 s
% 1.29/0.52 % (19359)Instructions burned: 4 (million)
% 1.29/0.52 % (19359)------------------------------
% 1.29/0.52 % (19359)------------------------------
% 1.29/0.52 % (19361)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.29/0.52 % (19371)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.49/0.52 % (19382)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.49/0.52 % (19377)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.49/0.52 % (19373)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.49/0.53 % (19365)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.49/0.53 % (19372)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.49/0.53 % (19363)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.49/0.53 % (19379)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.49/0.53 % (19374)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.49/0.53 % (19364)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.49/0.53 % (19380)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.49/0.53 % (19366)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.49/0.53 % (19361)Instruction limit reached!
% 1.49/0.53 % (19361)------------------------------
% 1.49/0.53 % (19361)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.49/0.53 % (19361)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.49/0.53 % (19361)Termination reason: Unknown
% 1.49/0.53 % (19361)Termination phase: Saturation
% 1.49/0.53
% 1.49/0.53 % (19361)Memory used [KB]: 5373
% 1.49/0.53 % (19361)Time elapsed: 0.004 s
% 1.49/0.53 % (19361)Instructions burned: 4 (million)
% 1.49/0.53 % (19361)------------------------------
% 1.49/0.53 % (19361)------------------------------
% 1.49/0.53 % (19368)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.49/0.54 % (19360)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.49/0.54 % (19376)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 1.49/0.56 % (19355)Instruction limit reached!
% 1.49/0.56 % (19355)------------------------------
% 1.49/0.56 % (19355)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.49/0.56 % (19355)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.49/0.56 % (19355)Termination reason: Unknown
% 1.49/0.56 % (19355)Termination phase: Saturation
% 1.49/0.56
% 1.49/0.56 % (19355)Memory used [KB]: 1151
% 1.49/0.56 % (19355)Time elapsed: 0.178 s
% 1.49/0.56 % (19355)Instructions burned: 39 (million)
% 1.49/0.56 % (19355)------------------------------
% 1.49/0.56 % (19355)------------------------------
% 1.49/0.56 % (19360)Instruction limit reached!
% 1.49/0.56 % (19360)------------------------------
% 1.49/0.56 % (19360)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.49/0.56 % (19360)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.49/0.56 % (19360)Termination reason: Unknown
% 1.49/0.56 % (19360)Termination phase: Saturation
% 1.49/0.56
% 1.49/0.56 % (19360)Memory used [KB]: 5500
% 1.49/0.56 % (19360)Time elapsed: 0.161 s
% 1.49/0.56 % (19360)Instructions burned: 8 (million)
% 1.49/0.56 % (19360)------------------------------
% 1.49/0.56 % (19360)------------------------------
% 1.49/0.57 % (19354)Instruction limit reached!
% 1.49/0.57 % (19354)------------------------------
% 1.49/0.57 % (19354)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.49/0.58 % (19354)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.49/0.58 % (19354)Termination reason: Unknown
% 1.49/0.58 % (19354)Termination phase: Saturation
% 1.49/0.58
% 1.49/0.58 % (19354)Memory used [KB]: 6140
% 1.49/0.58 % (19354)Time elapsed: 0.189 s
% 1.49/0.58 % (19354)Instructions burned: 52 (million)
% 1.49/0.59 % (19362)Instruction limit reached!
% 1.49/0.59 % (19362)------------------------------
% 1.49/0.59 % (19362)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.49/0.59 % (19362)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.49/0.59 % (19362)Termination reason: Unknown
% 1.49/0.59 % (19362)Termination phase: Saturation
% 1.49/0.59
% 1.49/0.59 % (19362)Memory used [KB]: 1663
% 1.49/0.59 % (19362)Time elapsed: 0.197 s
% 1.49/0.59 % (19362)Instructions burned: 51 (million)
% 1.49/0.59 % (19362)------------------------------
% 1.49/0.59 % (19362)------------------------------
% 1.49/0.59 % (19354)------------------------------
% 1.49/0.59 % (19354)------------------------------
% 1.49/0.59 % (19367)Instruction limit reached!
% 1.49/0.59 % (19367)------------------------------
% 1.49/0.59 % (19367)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.49/0.59 % (19367)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.49/0.59 % (19367)Termination reason: Unknown
% 1.49/0.59 % (19367)Termination phase: Saturation
% 1.49/0.59
% 1.49/0.59 % (19367)Memory used [KB]: 6524
% 1.49/0.59 % (19367)Time elapsed: 0.032 s
% 1.49/0.59 % (19367)Instructions burned: 70 (million)
% 1.49/0.59 % (19367)------------------------------
% 1.49/0.59 % (19367)------------------------------
% 1.49/0.60 % (19357)Instruction limit reached!
% 1.49/0.60 % (19357)------------------------------
% 1.49/0.60 % (19357)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.49/0.60 % (19357)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.49/0.60 % (19357)Termination reason: Unknown
% 1.49/0.60 % (19357)Termination phase: Saturation
% 1.49/0.60
% 1.49/0.60 % (19357)Memory used [KB]: 6268
% 1.49/0.60 % (19357)Time elapsed: 0.217 s
% 1.49/0.60 % (19357)Instructions burned: 51 (million)
% 1.49/0.60 % (19357)------------------------------
% 1.49/0.60 % (19357)------------------------------
% 1.49/0.60 % (19356)Instruction limit reached!
% 1.49/0.60 % (19356)------------------------------
% 1.49/0.60 % (19356)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.49/0.60 % (19356)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.49/0.60 % (19356)Termination reason: Unknown
% 1.49/0.60 % (19356)Termination phase: Saturation
% 1.49/0.60
% 1.49/0.60 % (19356)Memory used [KB]: 6012
% 1.49/0.60 % (19356)Time elapsed: 0.220 s
% 1.49/0.60 % (19356)Instructions burned: 51 (million)
% 1.49/0.60 % (19356)------------------------------
% 1.49/0.60 % (19356)------------------------------
% 1.49/0.61 % (19363)Instruction limit reached!
% 1.49/0.61 % (19363)------------------------------
% 1.49/0.61 % (19363)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.49/0.61 % (19363)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.49/0.61 % (19363)Termination reason: Unknown
% 1.49/0.61 % (19363)Termination phase: Saturation
% 1.49/0.61
% 1.49/0.61 % (19363)Memory used [KB]: 6012
% 1.49/0.61 % (19363)Time elapsed: 0.225 s
% 1.49/0.61 % (19363)Instructions burned: 50 (million)
% 1.49/0.61 % (19363)------------------------------
% 1.49/0.61 % (19363)------------------------------
% 1.49/0.61 % (19358)Instruction limit reached!
% 1.49/0.61 % (19358)------------------------------
% 1.49/0.61 % (19358)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.49/0.61 % (19358)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.49/0.61 % (19358)Termination reason: Unknown
% 1.49/0.61 % (19358)Termination phase: Saturation
% 1.49/0.61
% 1.49/0.61 % (19358)Memory used [KB]: 5884
% 1.49/0.61 % (19358)Time elapsed: 0.226 s
% 1.49/0.61 % (19358)Instructions burned: 49 (million)
% 1.49/0.61 % (19358)------------------------------
% 1.49/0.61 % (19358)------------------------------
% 1.49/0.62 % (19379)Instruction limit reached!
% 1.49/0.62 % (19379)------------------------------
% 1.49/0.62 % (19379)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.49/0.62 % (19379)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.49/0.62 % (19379)Termination reason: Unknown
% 1.49/0.62 % (19379)Termination phase: Saturation
% 1.49/0.62
% 1.49/0.62 % (19379)Memory used [KB]: 6780
% 1.49/0.62 % (19379)Time elapsed: 0.034 s
% 1.49/0.62 % (19379)Instructions burned: 68 (million)
% 1.49/0.62 % (19379)------------------------------
% 1.49/0.62 % (19379)------------------------------
% 2.15/0.64 % (19385)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/90Mi)
% 2.15/0.64 % (19384)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/211Mi)
% 2.15/0.65 % (19383)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/388Mi)
% 2.15/0.65 % (19372)Instruction limit reached!
% 2.15/0.65 % (19372)------------------------------
% 2.15/0.65 % (19372)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.15/0.65 % (19372)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.15/0.65 % (19372)Termination reason: Unknown
% 2.15/0.65 % (19372)Termination phase: Saturation
% 2.15/0.65
% 2.15/0.65 % (19372)Memory used [KB]: 1663
% 2.15/0.65 % (19372)Time elapsed: 0.185 s
% 2.15/0.65 % (19372)Instructions burned: 100 (million)
% 2.15/0.65 % (19372)------------------------------
% 2.15/0.65 % (19372)------------------------------
% 2.15/0.66 % (19386)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/920Mi)
% 2.15/0.67 % (19368)Instruction limit reached!
% 2.15/0.67 % (19368)------------------------------
% 2.15/0.67 % (19368)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.15/0.67 % (19368)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.15/0.67 % (19368)Termination reason: Unknown
% 2.15/0.67 % (19368)Termination phase: Saturation
% 2.15/0.67
% 2.15/0.67 % (19368)Memory used [KB]: 2046
% 2.15/0.67 % (19368)Time elapsed: 0.283 s
% 2.15/0.67 % (19368)Instructions burned: 76 (million)
% 2.15/0.67 % (19368)------------------------------
% 2.15/0.67 % (19368)------------------------------
% 2.15/0.68 % (19366)Instruction limit reached!
% 2.15/0.68 % (19366)------------------------------
% 2.15/0.68 % (19366)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.15/0.68 % (19366)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.15/0.68 % (19366)Termination reason: Unknown
% 2.15/0.68 % (19366)Termination phase: Saturation
% 2.15/0.68
% 2.15/0.68 % (19366)Memory used [KB]: 6396
% 2.15/0.68 % (19366)Time elapsed: 0.279 s
% 2.15/0.68 % (19366)Instructions burned: 101 (million)
% 2.15/0.68 % (19366)------------------------------
% 2.15/0.68 % (19366)------------------------------
% 2.15/0.69 % (19369)Instruction limit reached!
% 2.15/0.69 % (19369)------------------------------
% 2.15/0.69 % (19369)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.15/0.69 % (19369)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.15/0.69 % (19369)Termination reason: Unknown
% 2.15/0.69 % (19369)Termination phase: Saturation
% 2.15/0.69
% 2.15/0.69 % (19369)Memory used [KB]: 6396
% 2.15/0.69 % (19369)Time elapsed: 0.305 s
% 2.15/0.69 % (19369)Instructions burned: 99 (million)
% 2.15/0.69 % (19369)------------------------------
% 2.15/0.69 % (19369)------------------------------
% 2.46/0.70 % (19387)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/934Mi)
% 2.46/0.70 % (19365)Instruction limit reached!
% 2.46/0.70 % (19365)------------------------------
% 2.46/0.70 % (19365)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.46/0.70 % (19365)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.46/0.70 % (19365)Termination reason: Unknown
% 2.46/0.70 % (19365)Termination phase: Saturation
% 2.46/0.70
% 2.46/0.70 % (19365)Memory used [KB]: 6524
% 2.46/0.70 % (19365)Time elapsed: 0.305 s
% 2.46/0.70 % (19365)Instructions burned: 101 (million)
% 2.46/0.70 % (19365)------------------------------
% 2.46/0.70 % (19365)------------------------------
% 2.46/0.71 % (19371)Instruction limit reached!
% 2.46/0.71 % (19371)------------------------------
% 2.46/0.71 % (19371)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.46/0.71 % (19371)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.46/0.71 % (19371)Termination reason: Unknown
% 2.46/0.71 % (19371)Termination phase: Saturation
% 2.46/0.71
% 2.46/0.71 % (19371)Memory used [KB]: 6396
% 2.46/0.71 % (19371)Time elapsed: 0.321 s
% 2.46/0.71 % (19371)Instructions burned: 101 (million)
% 2.46/0.71 % (19371)------------------------------
% 2.46/0.71 % (19371)------------------------------
% 2.46/0.71 % (19388)ott+10_1:50_bsr=unit_only:drc=off:fd=preordered:sp=frequency:i=747:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/747Mi)
% 2.46/0.72 % (19364)Instruction limit reached!
% 2.46/0.72 % (19364)------------------------------
% 2.46/0.72 % (19364)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.46/0.72 % (19364)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.46/0.72 % (19364)Termination reason: Unknown
% 2.46/0.72 % (19364)Termination phase: Saturation
% 2.46/0.72
% 2.46/0.72 % (19364)Memory used [KB]: 6524
% 2.46/0.72 % (19364)Time elapsed: 0.344 s
% 2.46/0.72 % (19364)Instructions burned: 101 (million)
% 2.46/0.72 % (19364)------------------------------
% 2.46/0.72 % (19364)------------------------------
% 2.46/0.73 % (19391)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=940:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/940Mi)
% 2.46/0.73 % (19393)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 2.46/0.74 % (19389)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=655:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/655Mi)
% 2.46/0.74 WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 2.46/0.74 % (19392)ott+11_4:1_br=off:fde=none:s2a=on:sd=2:sp=frequency:urr=on:i=981:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/981Mi)
% 2.46/0.74 % (19394)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/2016Mi)
% 2.46/0.74 % (19395)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/3735Mi)
% 2.46/0.75 % (19390)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/68Mi)
% 2.46/0.75 % (19396)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=4958:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/4958Mi)
% 2.46/0.76 % (19374)Instruction limit reached!
% 2.46/0.76 % (19374)------------------------------
% 2.46/0.76 % (19374)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.46/0.76 % (19374)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.46/0.76 % (19374)Termination reason: Unknown
% 2.46/0.76 % (19374)Termination phase: Saturation
% 2.46/0.76
% 2.46/0.76 % (19374)Memory used [KB]: 6780
% 2.46/0.76 % (19374)Time elapsed: 0.359 s
% 2.46/0.76 % (19374)Instructions burned: 139 (million)
% 2.46/0.76 % (19374)------------------------------
% 2.46/0.76 % (19374)------------------------------
% 2.67/0.80 % (19398)ott+10_1:1_kws=precedence:tgt=ground:i=4756:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4756Mi)
% 2.67/0.80 % (19377)First to succeed.
% 2.67/0.80 % (19397)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=4959:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/4959Mi)
% 2.67/0.80 % (19377)Refutation found. Thanks to Tanya!
% 2.67/0.80 % SZS status Theorem for theBenchmark
% 2.67/0.80 % SZS output start Proof for theBenchmark
% See solution above
% 2.67/0.81 % (19377)------------------------------
% 2.67/0.81 % (19377)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.67/0.81 % (19377)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.67/0.81 % (19377)Termination reason: Refutation
% 2.67/0.81
% 2.67/0.81 % (19377)Memory used [KB]: 7291
% 2.67/0.81 % (19377)Time elapsed: 0.422 s
% 2.67/0.81 % (19377)Instructions burned: 173 (million)
% 2.67/0.81 % (19377)------------------------------
% 2.67/0.81 % (19377)------------------------------
% 2.67/0.81 % (19352)Success in time 0.471 s
%------------------------------------------------------------------------------