TSTP Solution File: SWW581_2 by Vampire---4.9
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : SWW581_2 : TPTP v8.2.0. Released v6.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n012.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 : Mon Jun 24 18:34:22 EDT 2024
% Result : Theorem 1.75s 0.67s
% Output : Refutation 1.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 14
% Syntax : Number of formulae : 63 ( 34 unt; 0 typ; 0 def)
% Number of atoms : 238 ( 86 equ)
% Maximal formula atoms : 26 ( 3 avg)
% Number of connectives : 265 ( 90 ~; 40 |; 104 &)
% ( 0 <=>; 31 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number arithmetic : 438 ( 151 atm; 88 fun; 113 num; 86 var)
% Number of types : 6 ( 4 usr; 1 ari)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 27 ( 20 usr; 17 con; 0-4 aty)
% Number of variables : 86 ( 50 !; 36 ?; 86 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
uni: $tType ).
tff(type_def_6,type,
ty: $tType ).
tff(type_def_7,type,
bool: $tType ).
tff(type_def_8,type,
tuple0: $tType ).
tff(func_def_0,type,
witness: ty > uni ).
tff(func_def_1,type,
int: ty ).
tff(func_def_2,type,
real: ty ).
tff(func_def_3,type,
bool1: ty ).
tff(func_def_4,type,
true: bool ).
tff(func_def_5,type,
false: bool ).
tff(func_def_6,type,
match_bool: ( ty * bool * uni * uni ) > uni ).
tff(func_def_7,type,
tuple01: ty ).
tff(func_def_8,type,
tuple02: tuple0 ).
tff(func_def_9,type,
qtmark: ty ).
tff(func_def_12,type,
fact: $int > $int ).
tff(func_def_15,type,
ref: ty > ty ).
tff(func_def_16,type,
mk_ref: ( ty * uni ) > uni ).
tff(func_def_17,type,
contents: ( ty * uni ) > uni ).
tff(func_def_20,type,
sK0: $int ).
tff(func_def_21,type,
sK1: $int ).
tff(func_def_22,type,
sK2: $int ).
tff(func_def_23,type,
sK3: $int ).
tff(func_def_24,type,
sK4: $int ).
tff(func_def_25,type,
sK5: $int ).
tff(pred_def_1,type,
sort: ( ty * uni ) > $o ).
tff(f270,plain,
$false,
inference(subsumption_resolution,[],[f269,f219]) ).
tff(f219,plain,
sK4 != fact(sK3),
inference(subsumption_resolution,[],[f173,f216]) ).
tff(f216,plain,
~ $less(sK3,0),
inference(resolution,[],[f156,f25]) ).
tff(f25,plain,
! [X0: $int] : ~ $less(X0,X0),
introduced(theory_axiom_150,[]) ).
tff(f156,plain,
! [X0: $int] :
( $less(X0,sK3)
| ~ $less(X0,0) ),
inference(resolution,[],[f153,f26]) ).
tff(f26,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X1,X2)
| $less(X0,X2)
| ~ $less(X0,X1) ),
introduced(theory_axiom_151,[]) ).
tff(f153,plain,
$less(0,sK3),
inference(backward_demodulation,[],[f118,f140]) ).
tff(f140,plain,
sK3 = sK5,
inference(subsumption_resolution,[],[f138,f98]) ).
tff(f98,plain,
~ $less(sK5,sK3),
inference(backward_demodulation,[],[f67,f80]) ).
tff(f80,plain,
sK5 = $sum(1,sK1),
inference(superposition,[],[f55,f20]) ).
tff(f20,plain,
! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_143,[]) ).
tff(f55,plain,
$sum(sK1,1) = sK5,
inference(cnf_transformation,[],[f50]) ).
tff(f50,plain,
( ~ $less(sK0,sK1)
& ~ $less(sK1,0)
& $less(sK1,sK0)
& ( sK2 = fact(sK1) )
& $less(sK1,sK3)
& ~ $less(sK3,1)
& ~ $less($sum(sK1,1),sK3)
& ( $sum(sK1,1) = sK5 )
& ( ( sK4 != fact(sK5) )
| $less(sK5,0)
| $less(sK0,sK5) )
& ( sK4 = $product(sK3,fact(sK1)) )
& ~ $less(sK0,0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5])],[f42,f49,f48,f47,f46]) ).
tff(f46,plain,
( ? [X0: $int] :
( ? [X1: $int,X2: $int] :
( ~ $less(X0,X1)
& ~ $less(X1,0)
& $less(X1,X0)
& ( fact(X1) = X2 )
& ? [X3: $int,X4: $int] :
( $less(X1,X3)
& ~ $less(X3,1)
& ~ $less($sum(X1,1),X3)
& ? [X5: $int] :
( ( $sum(X1,1) = X5 )
& ( ( fact(X5) != X4 )
| $less(X5,0)
| $less(X0,X5) ) )
& ( $product(X3,fact(X1)) = X4 ) ) )
& ~ $less(X0,0) )
=> ( ? [X2: $int,X1: $int] :
( ~ $less(sK0,X1)
& ~ $less(X1,0)
& $less(X1,sK0)
& ( fact(X1) = X2 )
& ? [X4: $int,X3: $int] :
( $less(X1,X3)
& ~ $less(X3,1)
& ~ $less($sum(X1,1),X3)
& ? [X5: $int] :
( ( $sum(X1,1) = X5 )
& ( ( fact(X5) != X4 )
| $less(X5,0)
| $less(sK0,X5) ) )
& ( $product(X3,fact(X1)) = X4 ) ) )
& ~ $less(sK0,0) ) ),
introduced(choice_axiom,[]) ).
tff(f47,plain,
( ? [X2: $int,X1: $int] :
( ~ $less(sK0,X1)
& ~ $less(X1,0)
& $less(X1,sK0)
& ( fact(X1) = X2 )
& ? [X4: $int,X3: $int] :
( $less(X1,X3)
& ~ $less(X3,1)
& ~ $less($sum(X1,1),X3)
& ? [X5: $int] :
( ( $sum(X1,1) = X5 )
& ( ( fact(X5) != X4 )
| $less(X5,0)
| $less(sK0,X5) ) )
& ( $product(X3,fact(X1)) = X4 ) ) )
=> ( ~ $less(sK0,sK1)
& ~ $less(sK1,0)
& $less(sK1,sK0)
& ( sK2 = fact(sK1) )
& ? [X4: $int,X3: $int] :
( $less(sK1,X3)
& ~ $less(X3,1)
& ~ $less($sum(sK1,1),X3)
& ? [X5: $int] :
( ( $sum(sK1,1) = X5 )
& ( ( fact(X5) != X4 )
| $less(X5,0)
| $less(sK0,X5) ) )
& ( $product(X3,fact(sK1)) = X4 ) ) ) ),
introduced(choice_axiom,[]) ).
tff(f48,plain,
( ? [X4: $int,X3: $int] :
( $less(sK1,X3)
& ~ $less(X3,1)
& ~ $less($sum(sK1,1),X3)
& ? [X5: $int] :
( ( $sum(sK1,1) = X5 )
& ( ( fact(X5) != X4 )
| $less(X5,0)
| $less(sK0,X5) ) )
& ( $product(X3,fact(sK1)) = X4 ) )
=> ( $less(sK1,sK3)
& ~ $less(sK3,1)
& ~ $less($sum(sK1,1),sK3)
& ? [X5: $int] :
( ( $sum(sK1,1) = X5 )
& ( ( fact(X5) != sK4 )
| $less(X5,0)
| $less(sK0,X5) ) )
& ( sK4 = $product(sK3,fact(sK1)) ) ) ),
introduced(choice_axiom,[]) ).
tff(f49,plain,
( ? [X5: $int] :
( ( $sum(sK1,1) = X5 )
& ( ( fact(X5) != sK4 )
| $less(X5,0)
| $less(sK0,X5) ) )
=> ( ( $sum(sK1,1) = sK5 )
& ( ( sK4 != fact(sK5) )
| $less(sK5,0)
| $less(sK0,sK5) ) ) ),
introduced(choice_axiom,[]) ).
tff(f42,plain,
? [X0: $int] :
( ? [X1: $int,X2: $int] :
( ~ $less(X0,X1)
& ~ $less(X1,0)
& $less(X1,X0)
& ( fact(X1) = X2 )
& ? [X3: $int,X4: $int] :
( $less(X1,X3)
& ~ $less(X3,1)
& ~ $less($sum(X1,1),X3)
& ? [X5: $int] :
( ( $sum(X1,1) = X5 )
& ( ( fact(X5) != X4 )
| $less(X5,0)
| $less(X0,X5) ) )
& ( $product(X3,fact(X1)) = X4 ) ) )
& ~ $less(X0,0) ),
inference(flattening,[],[f41]) ).
tff(f41,plain,
? [X0: $int] :
( ? [X1: $int,X2: $int] :
( ? [X3: $int,X4: $int] :
( ? [X5: $int] :
( ( $sum(X1,1) = X5 )
& ( ( fact(X5) != X4 )
| $less(X5,0)
| $less(X0,X5) ) )
& $less(X1,X3)
& ( $product(X3,fact(X1)) = X4 )
& ~ $less(X3,1)
& ~ $less($sum(X1,1),X3) )
& $less(X1,X0)
& ~ $less(X0,X1)
& ( fact(X1) = X2 )
& ~ $less(X1,0) )
& ~ $less(X0,0) ),
inference(ennf_transformation,[],[f38]) ).
tff(f38,plain,
~ ! [X0: $int] :
( ~ $less(X0,0)
=> ! [X1: $int,X2: $int] :
( ( ~ $less(X0,X1)
& ( fact(X1) = X2 )
& ~ $less(X1,0) )
=> ( $less(X1,X0)
=> ! [X3: $int,X4: $int] :
( ( ( $product(X3,fact(X1)) = X4 )
& ~ $less(X3,1)
& ~ $less($sum(X1,1),X3) )
=> ( $less(X1,X3)
=> ! [X5: $int] :
( ( $sum(X1,1) = X5 )
=> ( ( fact(X5) = X4 )
& ~ $less(X0,X5)
& ~ $less(X5,0) ) ) ) ) ) ) ),
inference(rectify,[],[f19]) ).
tff(f19,plain,
~ ! [X8: $int] :
( ~ $less(X8,0)
=> ! [X9: $int,X6: $int] :
( ( ~ $less(X9,0)
& ~ $less(X8,X9)
& ( fact(X9) = X6 ) )
=> ( $less(X9,X8)
=> ! [X10: $int,X11: $int] :
( ( ( $product(X10,fact(X9)) = X11 )
& ~ $less($sum(X9,1),X10)
& ~ $less(X10,1) )
=> ( $less(X9,X10)
=> ! [X12: $int] :
( ( $sum(X9,1) = X12 )
=> ( ~ $less(X12,0)
& ~ $less(X8,X12)
& ( fact(X12) = X11 ) ) ) ) ) ) ) ),
inference(theory_normalization,[],[f16]) ).
tff(f16,negated_conjecture,
~ ! [X8: $int] :
( $lesseq(0,X8)
=> ! [X9: $int,X6: $int] :
( ( $lesseq(0,X9)
& $lesseq(X9,X8)
& ( fact(X9) = X6 ) )
=> ( $less(X9,X8)
=> ! [X10: $int,X11: $int] :
( ( ( $product(X10,fact(X9)) = X11 )
& $lesseq(X10,$sum(X9,1))
& $lesseq(1,X10) )
=> ( ~ $lesseq(X10,X9)
=> ! [X12: $int] :
( ( $sum(X9,1) = X12 )
=> ( $lesseq(0,X12)
& $lesseq(X12,X8)
& ( fact(X12) = X11 ) ) ) ) ) ) ) ),
inference(negated_conjecture,[],[f15]) ).
tff(f15,conjecture,
! [X8: $int] :
( $lesseq(0,X8)
=> ! [X9: $int,X6: $int] :
( ( $lesseq(0,X9)
& $lesseq(X9,X8)
& ( fact(X9) = X6 ) )
=> ( $less(X9,X8)
=> ! [X10: $int,X11: $int] :
( ( ( $product(X10,fact(X9)) = X11 )
& $lesseq(X10,$sum(X9,1))
& $lesseq(1,X10) )
=> ( ~ $lesseq(X10,X9)
=> ! [X12: $int] :
( ( $sum(X9,1) = X12 )
=> ( $lesseq(0,X12)
& $lesseq(X12,X8)
& ( fact(X12) = X11 ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
tff(f67,plain,
~ $less($sum(1,sK1),sK3),
inference(forward_demodulation,[],[f56,f20]) ).
tff(f56,plain,
~ $less($sum(sK1,1),sK3),
inference(cnf_transformation,[],[f50]) ).
tff(f138,plain,
( ( sK3 = sK5 )
| $less(sK5,sK3) ),
inference(resolution,[],[f122,f27]) ).
tff(f27,plain,
! [X0: $int,X1: $int] :
( $less(X1,X0)
| $less(X0,X1)
| ( X0 = X1 ) ),
introduced(theory_axiom_152,[]) ).
tff(f122,plain,
~ $less(sK3,sK5),
inference(resolution,[],[f83,f58]) ).
tff(f58,plain,
$less(sK1,sK3),
inference(cnf_transformation,[],[f50]) ).
tff(f83,plain,
! [X0: $int] :
( ~ $less(sK1,X0)
| ~ $less(X0,sK5) ),
inference(superposition,[],[f37,f55]) ).
tff(f37,plain,
! [X0: $int,X1: $int] :
( ~ $less(X1,$sum(X0,1))
| ~ $less(X0,X1) ),
introduced(theory_axiom_169,[]) ).
tff(f118,plain,
$less(0,sK5),
inference(resolution,[],[f82,f61]) ).
tff(f61,plain,
~ $less(sK1,0),
inference(cnf_transformation,[],[f50]) ).
tff(f82,plain,
! [X0: $int] :
( $less(X0,sK5)
| $less(sK1,X0) ),
inference(superposition,[],[f29,f55]) ).
tff(f29,plain,
! [X0: $int,X1: $int] :
( $less(X1,$sum(X0,1))
| $less(X0,X1) ),
introduced(theory_axiom_155,[]) ).
tff(f173,plain,
( ( sK4 != fact(sK3) )
| $less(sK3,0) ),
inference(forward_demodulation,[],[f172,f140]) ).
tff(f172,plain,
( $less(sK3,0)
| ( sK4 != fact(sK5) ) ),
inference(forward_demodulation,[],[f142,f140]) ).
tff(f142,plain,
( $less(sK5,0)
| ( sK4 != fact(sK5) ) ),
inference(subsumption_resolution,[],[f54,f123]) ).
tff(f123,plain,
~ $less(sK0,sK5),
inference(resolution,[],[f83,f60]) ).
tff(f60,plain,
$less(sK1,sK0),
inference(cnf_transformation,[],[f50]) ).
tff(f54,plain,
( ( sK4 != fact(sK5) )
| $less(sK5,0)
| $less(sK0,sK5) ),
inference(cnf_transformation,[],[f50]) ).
tff(f269,plain,
sK4 = fact(sK3),
inference(forward_demodulation,[],[f268,f91]) ).
tff(f91,plain,
sK4 = $product(sK3,sK2),
inference(forward_demodulation,[],[f53,f59]) ).
tff(f59,plain,
sK2 = fact(sK1),
inference(cnf_transformation,[],[f50]) ).
tff(f53,plain,
sK4 = $product(sK3,fact(sK1)),
inference(cnf_transformation,[],[f50]) ).
tff(f268,plain,
fact(sK3) = $product(sK3,sK2),
inference(forward_demodulation,[],[f264,f59]) ).
tff(f264,plain,
$product(sK3,fact(sK1)) = fact(sK3),
inference(backward_demodulation,[],[f73,f257]) ).
tff(f257,plain,
sK1 = $sum(-1,sK3),
inference(superposition,[],[f254,f20]) ).
tff(f254,plain,
sK1 = $sum(sK3,-1),
inference(evaluation,[],[f249]) ).
tff(f249,plain,
$sum(sK3,$uminus(1)) = $sum(sK1,0),
inference(superposition,[],[f164,f24]) ).
tff(f24,plain,
! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) ),
introduced(theory_axiom_148,[]) ).
tff(f164,plain,
! [X0: $int] : ( $sum(sK1,$sum(1,X0)) = $sum(sK3,X0) ),
inference(superposition,[],[f21,f146]) ).
tff(f146,plain,
$sum(sK1,1) = sK3,
inference(backward_demodulation,[],[f55,f140]) ).
tff(f21,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2) ),
introduced(theory_axiom_144,[]) ).
tff(f73,plain,
fact(sK3) = $product(sK3,fact($sum(-1,sK3))),
inference(forward_demodulation,[],[f70,f20]) ).
tff(f70,plain,
fact(sK3) = $product(sK3,fact($sum(sK3,-1))),
inference(resolution,[],[f57,f66]) ).
tff(f66,plain,
! [X0: $int] :
( $less(X0,1)
| ( fact(X0) = $product(X0,fact($sum(X0,-1))) ) ),
inference(evaluation,[],[f63]) ).
tff(f63,plain,
! [X0: $int] :
( ( fact(X0) = $product(X0,fact($sum(X0,$uminus(1)))) )
| $less(X0,1) ),
inference(cnf_transformation,[],[f43]) ).
tff(f43,plain,
! [X0: $int] :
( $less(X0,1)
| ( fact(X0) = $product(X0,fact($sum(X0,$uminus(1)))) ) ),
inference(ennf_transformation,[],[f40]) ).
tff(f40,plain,
! [X0: $int] :
( ~ $less(X0,1)
=> ( fact(X0) = $product(X0,fact($sum(X0,$uminus(1)))) ) ),
inference(rectify,[],[f17]) ).
tff(f17,plain,
! [X8: $int] :
( ~ $less(X8,1)
=> ( fact(X8) = $product(X8,fact($sum(X8,$uminus(1)))) ) ),
inference(theory_normalization,[],[f10]) ).
tff(f10,axiom,
! [X8: $int] :
( $lesseq(1,X8)
=> ( fact(X8) = $product(X8,fact($difference(X8,1))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
tff(f57,plain,
~ $less(sK3,1),
inference(cnf_transformation,[],[f50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWW581_2 : TPTP v8.2.0. Released v6.1.0.
% 0.07/0.13 % Command : run_vampire %s %d THM
% 0.13/0.36 % Computer : n012.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Wed Jun 19 04:19:09 EDT 2024
% 0.13/0.36 % CPUTime :
% 0.23/0.38 This is a TF0_THM_EQU_ARI problem
% 0.23/0.38 Running first-order theorem proving
% 0.23/0.38 Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.23/0.44 % (1923)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.44 % (1926)dis+1011_1:64_drc=off:flr=on:nwc=2.0:sac=on:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/8Mi)
% 0.23/0.44 % (1923)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.44 % (1927)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.23/0.44 % (1923)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.44 % (1928)ott+1011_1:2_br=off:bs=unit_only:bsr=unit_only:nwc=5.0:s2a=on:s2agt=32:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/37Mi)
% 0.23/0.44 % (1923)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.44 % (1925)lrs+1010_1:1_aac=none:bce=on:nicw=on:nm=0:plsq=on:plsql=on:sac=on:sos=on:sp=frequency:spb=units:to=lpo:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/34Mi)
% 0.23/0.44 % (1923)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.44 % (1924)dis+1010_1:4_aac=none:abs=on:atotf=0.5:avsq=on:avsqc=2:avsqr=215,247:awrs=converge:awrsf=128:bsd=on:erd=off:fde=none:gve=cautious:newcnf=on:nwc=5.0:rnwc=on:sac=on:sas=z3:sp=const_min:tgt=ground:thsq=on:thsqc=64:thsqr=1,4:i=59848:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/59848Mi)
% 0.23/0.44 % (1923)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.44 % (1930)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=32:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/32Mi)
% 0.23/0.44 % (1923)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.44 % (1929)lrs+10_1:32_s2a=on:s2agt=10:sgt=8:ss=axioms:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/15Mi)
% 0.23/0.44 % (1927)Instruction limit reached!
% 0.23/0.44 % (1927)------------------------------
% 0.23/0.44 % (1927)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.23/0.44 % (1927)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.23/0.44 % (1927)Termination reason: Time limit
% 0.23/0.44 % (1927)Termination phase: Preprocessing 1
% 0.23/0.44
% 0.23/0.44 % (1927)Memory used [KB]: 746
% 0.23/0.44 % (1927)Time elapsed: 0.003 s
% 0.23/0.44 % (1927)Instructions burned: 2 (million)
% 0.23/0.45 % (1926)Instruction limit reached!
% 0.23/0.45 % (1926)------------------------------
% 0.23/0.45 % (1926)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.23/0.45 % (1926)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.23/0.45 % (1926)Termination reason: Time limit
% 0.23/0.45 % (1926)Termination phase: Saturation
% 0.23/0.45
% 0.23/0.45 % (1926)Memory used [KB]: 877
% 0.23/0.45 % (1926)Time elapsed: 0.007 s
% 0.23/0.45 % (1926)Instructions burned: 8 (million)
% 0.23/0.45 % (1929)Instruction limit reached!
% 0.23/0.45 % (1929)------------------------------
% 0.23/0.45 % (1929)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.23/0.45 % (1929)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.23/0.45 % (1929)Termination reason: Time limit
% 0.23/0.45 % (1929)Termination phase: Saturation
% 0.23/0.45
% 0.23/0.45 % (1929)Memory used [KB]: 919
% 0.23/0.45 % (1929)Time elapsed: 0.012 s
% 0.23/0.45 % (1929)Instructions burned: 15 (million)
% 0.24/0.46 % (1930)Instruction limit reached!
% 0.24/0.46 % (1930)------------------------------
% 0.24/0.46 % (1930)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.24/0.46 % (1930)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.24/0.46 % (1930)Termination reason: Time limit
% 0.24/0.46 % (1930)Termination phase: Saturation
% 0.24/0.46
% 0.24/0.46 % (1930)Memory used [KB]: 1188
% 0.24/0.46 % (1930)Time elapsed: 0.022 s
% 0.24/0.46 % (1930)Instructions burned: 33 (million)
% 0.24/0.47 % (1925)Instruction limit reached!
% 0.24/0.47 % (1925)------------------------------
% 0.24/0.47 % (1925)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.24/0.47 % (1925)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.24/0.47 % (1925)Termination reason: Time limit
% 0.24/0.47 % (1925)Termination phase: Saturation
% 0.24/0.47
% 0.24/0.47 % (1925)Memory used [KB]: 1029
% 0.24/0.47 % (1925)Time elapsed: 0.024 s
% 0.24/0.47 % (1925)Instructions burned: 34 (million)
% 0.24/0.47 % (1928)Instruction limit reached!
% 0.24/0.47 % (1928)------------------------------
% 0.24/0.47 % (1928)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.24/0.47 % (1928)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.24/0.47 % (1928)Termination reason: Time limit
% 0.24/0.47 % (1928)Termination phase: Saturation
% 0.24/0.47
% 0.24/0.47 % (1928)Memory used [KB]: 1295
% 0.24/0.47 % (1928)Time elapsed: 0.025 s
% 0.24/0.47 % (1928)Instructions burned: 38 (million)
% 0.24/0.51 % (1923)Running in auto input_syntax mode. Trying TPTP
% 0.24/0.51 % (1931)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=36:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/36Mi)
% 0.24/0.51 % (1923)Running in auto input_syntax mode. Trying TPTP
% 0.24/0.51 % (1932)lrs+1010_1:1_ep=RST:s2a=on:s2at=5.0:sos=all:i=26:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/26Mi)
% 0.24/0.51 % (1923)Running in auto input_syntax mode. Trying TPTP
% 0.24/0.51 % (1933)lrs+10_1:8_ep=R:erd=off:fs=off:fsr=off:gve=force:nwc=2.0:uwa=one_side_interpreted:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.24/0.52 % (1933)Instruction limit reached!
% 0.24/0.52 % (1933)------------------------------
% 0.24/0.52 % (1933)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.24/0.52 % (1933)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.24/0.52 % (1933)Termination reason: Time limit
% 0.24/0.52 % (1933)Termination phase: Equality proxy
% 0.24/0.52
% 0.24/0.52 % (1933)Memory used [KB]: 822
% 0.24/0.52 % (1933)Time elapsed: 0.003 s
% 0.24/0.52 % (1933)Instructions burned: 2 (million)
% 0.24/0.52 % (1932)Instruction limit reached!
% 0.24/0.52 % (1932)------------------------------
% 0.24/0.52 % (1932)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.24/0.52 % (1932)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.24/0.52 % (1932)Termination reason: Time limit
% 0.24/0.52 % (1932)Termination phase: Saturation
% 0.24/0.52
% 0.24/0.52 % (1932)Memory used [KB]: 1173
% 0.24/0.52 % (1932)Time elapsed: 0.017 s
% 0.24/0.52 % (1932)Instructions burned: 26 (million)
% 0.24/0.53 % (1923)Running in auto input_syntax mode. Trying TPTP
% 0.24/0.53 % (1934)lrs+10_1:1_canc=force:tha=some:to=lpo:i=35:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/35Mi)
% 0.24/0.53 % (1923)Running in auto input_syntax mode. Trying TPTP
% 0.24/0.53 % (1935)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.24/0.53 % (1923)Running in auto input_syntax mode. Trying TPTP
% 0.24/0.53 % (1936)lrs+10_1:1_ep=R:gve=force:plsq=on:plsqr=32,1:uwa=one_side_interpreted:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.24/0.53 % (1936)Instruction limit reached!
% 0.24/0.53 % (1936)------------------------------
% 0.24/0.53 % (1936)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.24/0.53 % (1936)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.24/0.53 % (1936)Termination reason: Time limit
% 0.24/0.53 % (1936)Termination phase: Including theory axioms
% 0.24/0.53
% 0.24/0.53 % (1936)Memory used [KB]: 745
% 0.24/0.53 % (1936)Time elapsed: 0.002 s
% 0.24/0.53 % (1936)Instructions burned: 2 (million)
% 0.24/0.53 % (1931)Instruction limit reached!
% 0.24/0.53 % (1931)------------------------------
% 0.24/0.53 % (1931)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.24/0.53 % (1931)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.24/0.53 % (1931)Termination reason: Time limit
% 0.24/0.53 % (1931)Termination phase: Saturation
% 0.24/0.53
% 0.24/0.53 % (1931)Memory used [KB]: 1155
% 0.24/0.53 % (1931)Time elapsed: 0.024 s
% 0.24/0.53 % (1931)Instructions burned: 36 (million)
% 0.24/0.53 % (1935)Instruction limit reached!
% 0.24/0.53 % (1935)------------------------------
% 0.24/0.53 % (1935)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.24/0.53 % (1935)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.24/0.53 % (1935)Termination reason: Time limit
% 0.24/0.53 % (1935)Termination phase: Saturation
% 0.24/0.53
% 0.24/0.53 % (1935)Memory used [KB]: 835
% 0.24/0.53 % (1935)Time elapsed: 0.005 s
% 0.24/0.53 % (1935)Instructions burned: 4 (million)
% 1.25/0.55 % (1934)Instruction limit reached!
% 1.25/0.55 % (1934)------------------------------
% 1.25/0.55 % (1934)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.25/0.55 % (1934)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.25/0.55 % (1934)Termination reason: Time limit
% 1.25/0.55 % (1934)Termination phase: Saturation
% 1.25/0.55
% 1.25/0.55 % (1934)Memory used [KB]: 1177
% 1.25/0.55 % (1934)Time elapsed: 0.023 s
% 1.25/0.55 % (1934)Instructions burned: 35 (million)
% 1.25/0.58 % (1923)Running in auto input_syntax mode. Trying TPTP
% 1.25/0.58 % (1938)lrs+22_1:1_amm=sco:fsr=off:gve=force:sos=on:uwa=all:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/50Mi)
% 1.25/0.58 % (1923)Running in auto input_syntax mode. Trying TPTP
% 1.25/0.58 % (1939)dis+20_1:12_aac=none:acc=model:awrs=converge:fd=preordered:fsr=off:nicw=on:nwc=3.0:s2a=on:s2agt=16:spb=goal:to=lpo:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/2Mi)
% 1.25/0.58 % (1923)Running in auto input_syntax mode. Trying TPTP
% 1.25/0.58 % (1940)lrs+10_1:1_ev=force:gve=cautious:tha=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/2Mi)
% 1.25/0.58 % (1939)Instruction limit reached!
% 1.25/0.58 % (1939)------------------------------
% 1.25/0.58 % (1939)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.25/0.58 % (1939)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.25/0.58 % (1939)Termination reason: Time limit
% 1.25/0.58 % (1939)Termination phase: Property scanning
% 1.25/0.58
% 1.25/0.58 % (1939)Memory used [KB]: 822
% 1.25/0.58 % (1923)Running in auto input_syntax mode. Trying TPTP
% 1.25/0.58 % (1937)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/21Mi)
% 1.25/0.58 % (1939)Time elapsed: 0.003 s
% 1.25/0.58 % (1939)Instructions burned: 2 (million)
% 1.25/0.58 % (1940)Instruction limit reached!
% 1.25/0.58 % (1940)------------------------------
% 1.25/0.58 % (1940)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.25/0.58 % (1940)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.25/0.58 % (1940)Termination reason: Time limit
% 1.25/0.58 % (1940)Termination phase: Saturation
% 1.25/0.58
% 1.25/0.58 % (1940)Memory used [KB]: 874
% 1.25/0.58 % (1940)Time elapsed: 0.003 s
% 1.25/0.58 % (1940)Instructions burned: 2 (million)
% 1.25/0.59 % (1923)Running in auto input_syntax mode. Trying TPTP
% 1.25/0.59 % (1941)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/49Mi)
% 1.25/0.60 % (1937)Instruction limit reached!
% 1.25/0.60 % (1937)------------------------------
% 1.25/0.60 % (1937)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.25/0.60 % (1937)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.25/0.60 % (1937)Termination reason: Time limit
% 1.25/0.60 % (1937)Termination phase: Saturation
% 1.25/0.60
% 1.25/0.60 % (1937)Memory used [KB]: 971
% 1.25/0.60 % (1937)Time elapsed: 0.036 s
% 1.25/0.60 % (1937)Instructions burned: 21 (million)
% 1.25/0.60 % (1923)Running in auto input_syntax mode. Trying TPTP
% 1.25/0.60 % (1942)lrs+10_1:1_ss=axioms:st=5.0:tha=off:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/15Mi)
% 1.25/0.61 % (1938)Instruction limit reached!
% 1.25/0.61 % (1938)------------------------------
% 1.25/0.61 % (1938)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.25/0.61 % (1938)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.25/0.61 % (1938)Termination reason: Time limit
% 1.25/0.61 % (1938)Termination phase: Saturation
% 1.25/0.61
% 1.25/0.61 % (1938)Memory used [KB]: 1335
% 1.25/0.61 % (1938)Time elapsed: 0.028 s
% 1.25/0.61 % (1938)Instructions burned: 52 (million)
% 1.25/0.61 % (1942)Instruction limit reached!
% 1.25/0.61 % (1942)------------------------------
% 1.25/0.61 % (1942)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.25/0.61 % (1942)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.25/0.61 % (1942)Termination reason: Time limit
% 1.25/0.61 % (1942)Termination phase: Saturation
% 1.25/0.61
% 1.25/0.61 % (1942)Memory used [KB]: 936
% 1.25/0.61 % (1942)Time elapsed: 0.010 s
% 1.25/0.61 % (1942)Instructions burned: 16 (million)
% 1.25/0.61 % (1941)Instruction limit reached!
% 1.25/0.61 % (1941)------------------------------
% 1.25/0.61 % (1941)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.25/0.61 % (1941)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.25/0.61 % (1941)Termination reason: Time limit
% 1.25/0.61 % (1941)Termination phase: Saturation
% 1.25/0.61
% 1.25/0.61 % (1941)Memory used [KB]: 1262
% 1.25/0.61 % (1941)Time elapsed: 0.030 s
% 1.25/0.61 % (1941)Instructions burned: 50 (million)
% 1.75/0.64 % (1923)Running in auto input_syntax mode. Trying TPTP
% 1.75/0.64 % (1944)dis+1002_1:5_av=off:nwc=2.0:sos=all:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/15Mi)
% 1.75/0.64 % (1923)Running in auto input_syntax mode. Trying TPTP
% 1.75/0.64 % (1943)lrs+10_1:1_sd=10:sos=all:ss=axioms:st=5.0:tha=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/2Mi)
% 1.75/0.64 % (1943)Instruction limit reached!
% 1.75/0.64 % (1943)------------------------------
% 1.75/0.64 % (1943)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.75/0.64 % (1943)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.75/0.64 % (1943)Termination reason: Time limit
% 1.75/0.64 % (1943)Termination phase: Property scanning
% 1.75/0.64
% 1.75/0.64 % (1943)Memory used [KB]: 755
% 1.75/0.64 % (1943)Time elapsed: 0.002 s
% 1.75/0.64 % (1943)Instructions burned: 2 (million)
% 1.75/0.65 % (1944)Instruction limit reached!
% 1.75/0.65 % (1944)------------------------------
% 1.75/0.65 % (1944)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.75/0.65 % (1944)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.75/0.65 % (1944)Termination reason: Time limit
% 1.75/0.65 % (1944)Termination phase: Saturation
% 1.75/0.65
% 1.75/0.65 % (1944)Memory used [KB]: 910
% 1.75/0.65 % (1944)Time elapsed: 0.010 s
% 1.75/0.65 % (1944)Instructions burned: 15 (million)
% 1.75/0.65 % (1923)Running in auto input_syntax mode. Trying TPTP
% 1.75/0.65 % (1945)dis+10_1:64_nwc=1.4:rp=on:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/21Mi)
% 1.75/0.66 % (1923)Running in auto input_syntax mode. Trying TPTP
% 1.75/0.66 % (1946)dis+2_1:1_av=off:bsr=on:erd=off:s2pl=on:sgt=16:sos=on:sp=frequency:ss=axioms:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/46Mi)
% 1.75/0.66 % (1945)Instruction limit reached!
% 1.75/0.66 % (1945)------------------------------
% 1.75/0.66 % (1945)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.75/0.66 % (1945)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.75/0.66 % (1945)Termination reason: Time limit
% 1.75/0.66 % (1945)Termination phase: Saturation
% 1.75/0.66
% 1.75/0.66 % (1945)Memory used [KB]: 971
% 1.75/0.66 % (1945)Time elapsed: 0.013 s
% 1.75/0.66 % (1945)Instructions burned: 21 (million)
% 1.75/0.67 % (1923)Running in auto input_syntax mode. Trying TPTP
% 1.75/0.67 % (1947)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/50Mi)
% 1.75/0.67 % (1923)Running in auto input_syntax mode. Trying TPTP
% 1.75/0.67 % (1948)lrs+1_1:10_av=off:drc=off:nwc=2.0:sp=reverse_frequency:thsq=on:thsqc=64:thsql=off:i=47:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/47Mi)
% 1.75/0.67 % (1946)First to succeed.
% 1.75/0.67 % (1946)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1923"
% 1.75/0.67 % (1923)Running in auto input_syntax mode. Trying TPTP
% 1.75/0.67 % (1946)Refutation found. Thanks to Tanya!
% 1.75/0.67 % SZS status Theorem for theBenchmark
% 1.75/0.67 % SZS output start Proof for theBenchmark
% See solution above
% 1.75/0.67 % (1946)------------------------------
% 1.75/0.67 % (1946)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.75/0.67 % (1946)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.75/0.67 % (1946)Termination reason: Refutation
% 1.75/0.67
% 1.75/0.67 % (1946)Memory used [KB]: 897
% 1.75/0.67 % (1946)Time elapsed: 0.012 s
% 1.75/0.67 % (1946)Instructions burned: 18 (million)
% 1.75/0.67 % (1946)------------------------------
% 1.75/0.67 % (1946)------------------------------
% 1.75/0.67 % (1923)Success in time 0.279 s
%------------------------------------------------------------------------------