TSTP Solution File: DAT012_1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : DAT012_1 : TPTP v8.1.2. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n010.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 May 1 02:18:33 EDT 2024
% Result : Theorem 1.15s 0.89s
% Output : Refutation 1.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 41
% Syntax : Number of formulae : 113 ( 23 unt; 14 typ; 0 def)
% Number of atoms : 257 ( 47 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 262 ( 104 ~; 102 |; 37 &)
% ( 8 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number arithmetic : 334 ( 137 atm; 45 fun; 72 num; 80 var)
% Number of types : 2 ( 1 usr; 1 ari)
% Number of type conns : 5 ( 2 >; 3 *; 0 +; 0 <<)
% Number of predicates : 13 ( 8 usr; 9 prp; 0-2 aty)
% Number of functors : 17 ( 13 usr; 14 con; 0-3 aty)
% Number of variables : 99 ( 77 !; 22 ?; 99 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
array: $tType ).
tff(func_def_0,type,
read: ( array * $int ) > $int ).
tff(func_def_1,type,
write: ( array * $int * $int ) > array ).
tff(func_def_7,type,
sK0: array ).
tff(func_def_8,type,
sK1: array ).
tff(func_def_9,type,
sK2: $int ).
tff(func_def_10,type,
sK3: $int ).
tff(func_def_11,type,
sK4: $int ).
tff(func_def_12,type,
sF5: $int ).
tff(func_def_13,type,
sF6: $int ).
tff(func_def_14,type,
sF7: $int ).
tff(func_def_15,type,
sF8: $int ).
tff(func_def_16,type,
sF9: $int ).
tff(func_def_17,type,
sF10: array ).
tff(f1910,plain,
$false,
inference(avatar_sat_refutation,[],[f252,f257,f304,f335,f350,f664,f1001,f1866,f1906]) ).
tff(f1906,plain,
( spl11_9
| ~ spl11_13 ),
inference(avatar_contradiction_clause,[],[f1905]) ).
tff(f1905,plain,
( $false
| spl11_9
| ~ spl11_13 ),
inference(subsumption_resolution,[],[f1891,f127]) ).
tff(f127,plain,
( ~ $less(sK2,sK4)
| spl11_9 ),
inference(avatar_component_clause,[],[f126]) ).
tff(f126,plain,
( spl11_9
<=> $less(sK2,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_9])]) ).
tff(f1891,plain,
( $less(sK2,sK4)
| ~ spl11_13 ),
inference(evaluation,[],[f1884]) ).
tff(f1884,plain,
( $less(sK2,sK4)
| ~ $less(0,2)
| ~ spl11_13 ),
inference(superposition,[],[f748,f8]) ).
tff(f8,plain,
! [X0: $int] : ( $sum(X0,0) = X0 ),
introduced(theory_axiom_137,[]) ).
tff(f748,plain,
( ! [X0: $int] :
( $less($sum(sK2,X0),sK4)
| ~ $less(X0,2) )
| ~ spl11_13 ),
inference(forward_demodulation,[],[f734,f246]) ).
tff(f246,plain,
( ( sK4 = sF6 )
| ~ spl11_13 ),
inference(avatar_component_clause,[],[f244]) ).
tff(f244,plain,
( spl11_13
<=> ( sK4 = sF6 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_13])]) ).
tff(f734,plain,
! [X0: $int] :
( $less($sum(sK2,X0),sF6)
| ~ $less(X0,2) ),
inference(superposition,[],[f142,f55]) ).
tff(f55,plain,
sF6 = $sum(2,sK2),
inference(superposition,[],[f6,f34]) ).
tff(f34,plain,
$sum(sK2,2) = sF6,
introduced(function_definition,[new_symbols(definition,[sF6])]) ).
tff(f6,plain,
! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_135,[]) ).
tff(f142,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less($sum(X1,X0),$sum(X2,X1))
| ~ $less(X0,X2) ),
inference(superposition,[],[f14,f6]) ).
tff(f14,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less($sum(X0,X2),$sum(X1,X2))
| ~ $less(X0,X1) ),
introduced(theory_axiom_145,[]) ).
tff(f1866,plain,
( ~ spl11_13
| ~ spl11_19 ),
inference(avatar_contradiction_clause,[],[f1865]) ).
tff(f1865,plain,
( $false
| ~ spl11_13
| ~ spl11_19 ),
inference(subsumption_resolution,[],[f1864,f33]) ).
tff(f33,plain,
~ $less(0,sF5),
inference(definition_folding,[],[f29,f32]) ).
tff(f32,plain,
read(sK1,sK4) = sF5,
introduced(function_definition,[new_symbols(definition,[sF5])]) ).
tff(f29,plain,
~ $less(0,read(sK1,sK4)),
inference(cnf_transformation,[],[f24]) ).
tff(f24,plain,
( ~ $less(0,read(sK1,sK4))
& ~ $less(sK3,sK4)
& ~ $less(sK4,sK2)
& ( sK1 = write(sK0,$sum(sK2,2),$sum(read(sK0,$sum(sK2,1)),1)) )
& ! [X5: $int] :
( $less(0,read(sK0,X5))
| $less(sK3,X5)
| $less(X5,sK2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4])],[f21,f23,f22]) ).
tff(f22,plain,
( ? [X0: array,X1: array,X2: $int,X3: $int] :
( ? [X4: $int] :
( ~ $less(0,read(X1,X4))
& ~ $less(X3,X4)
& ~ $less(X4,X2) )
& ( write(X0,$sum(X2,2),$sum(read(X0,$sum(X2,1)),1)) = X1 )
& ! [X5: $int] :
( $less(0,read(X0,X5))
| $less(X3,X5)
| $less(X5,X2) ) )
=> ( ? [X4: $int] :
( ~ $less(0,read(sK1,X4))
& ~ $less(sK3,X4)
& ~ $less(X4,sK2) )
& ( sK1 = write(sK0,$sum(sK2,2),$sum(read(sK0,$sum(sK2,1)),1)) )
& ! [X5: $int] :
( $less(0,read(sK0,X5))
| $less(sK3,X5)
| $less(X5,sK2) ) ) ),
introduced(choice_axiom,[]) ).
tff(f23,plain,
( ? [X4: $int] :
( ~ $less(0,read(sK1,X4))
& ~ $less(sK3,X4)
& ~ $less(X4,sK2) )
=> ( ~ $less(0,read(sK1,sK4))
& ~ $less(sK3,sK4)
& ~ $less(sK4,sK2) ) ),
introduced(choice_axiom,[]) ).
tff(f21,plain,
? [X0: array,X1: array,X2: $int,X3: $int] :
( ? [X4: $int] :
( ~ $less(0,read(X1,X4))
& ~ $less(X3,X4)
& ~ $less(X4,X2) )
& ( write(X0,$sum(X2,2),$sum(read(X0,$sum(X2,1)),1)) = X1 )
& ! [X5: $int] :
( $less(0,read(X0,X5))
| $less(X3,X5)
| $less(X5,X2) ) ),
inference(rectify,[],[f20]) ).
tff(f20,plain,
? [X0: array,X1: array,X2: $int,X3: $int] :
( ? [X5: $int] :
( ~ $less(0,read(X1,X5))
& ~ $less(X3,X5)
& ~ $less(X5,X2) )
& ( write(X0,$sum(X2,2),$sum(read(X0,$sum(X2,1)),1)) = X1 )
& ! [X4: $int] :
( $less(0,read(X0,X4))
| $less(X3,X4)
| $less(X4,X2) ) ),
inference(flattening,[],[f19]) ).
tff(f19,plain,
? [X0: array,X1: array,X2: $int,X3: $int] :
( ? [X5: $int] :
( ~ $less(0,read(X1,X5))
& ~ $less(X3,X5)
& ~ $less(X5,X2) )
& ( write(X0,$sum(X2,2),$sum(read(X0,$sum(X2,1)),1)) = X1 )
& ! [X4: $int] :
( $less(0,read(X0,X4))
| $less(X3,X4)
| $less(X4,X2) ) ),
inference(ennf_transformation,[],[f5]) ).
tff(f5,plain,
~ ! [X0: array,X1: array,X2: $int,X3: $int] :
( ( ( write(X0,$sum(X2,2),$sum(read(X0,$sum(X2,1)),1)) = X1 )
& ! [X4: $int] :
( ( ~ $less(X3,X4)
& ~ $less(X4,X2) )
=> $less(0,read(X0,X4)) ) )
=> ! [X5: $int] :
( ( ~ $less(X3,X5)
& ~ $less(X5,X2) )
=> $less(0,read(X1,X5)) ) ),
inference(theory_normalization,[],[f4]) ).
tff(f4,negated_conjecture,
~ ! [X0: array,X1: array,X2: $int,X3: $int] :
( ( ( write(X0,$sum(X2,2),$sum(read(X0,$sum(X2,1)),1)) = X1 )
& ! [X4: $int] :
( ( $lesseq(X4,X3)
& $lesseq(X2,X4) )
=> $greater(read(X0,X4),0) ) )
=> ! [X5: $int] :
( ( $lesseq(X5,X3)
& $lesseq(X2,X5) )
=> $greater(read(X1,X5),0) ) ),
inference(negated_conjecture,[],[f3]) ).
tff(f3,conjecture,
! [X0: array,X1: array,X2: $int,X3: $int] :
( ( ( write(X0,$sum(X2,2),$sum(read(X0,$sum(X2,1)),1)) = X1 )
& ! [X4: $int] :
( ( $lesseq(X4,X3)
& $lesseq(X2,X4) )
=> $greater(read(X0,X4),0) ) )
=> ! [X5: $int] :
( ( $lesseq(X5,X3)
& $lesseq(X2,X5) )
=> $greater(read(X1,X5),0) ) ),
file('/export/starexec/sandbox/tmp/tmp.1nAm5TSJqY/Vampire---4.8_2200',co1) ).
tff(f1864,plain,
( $less(0,sF5)
| ~ spl11_13
| ~ spl11_19 ),
inference(forward_demodulation,[],[f1863,f669]) ).
tff(f669,plain,
( ( sF5 = sF9 )
| ~ spl11_13 ),
inference(forward_demodulation,[],[f667,f32]) ).
tff(f667,plain,
( ( read(sK1,sK4) = sF9 )
| ~ spl11_13 ),
inference(superposition,[],[f86,f246]) ).
tff(f86,plain,
sF9 = read(sK1,sF6),
inference(forward_demodulation,[],[f85,f39]) ).
tff(f39,plain,
sK1 = sF10,
inference(definition_folding,[],[f26,f38,f37,f36,f35,f34]) ).
tff(f35,plain,
$sum(sK2,1) = sF7,
introduced(function_definition,[new_symbols(definition,[sF7])]) ).
tff(f36,plain,
read(sK0,sF7) = sF8,
introduced(function_definition,[new_symbols(definition,[sF8])]) ).
tff(f37,plain,
$sum(sF8,1) = sF9,
introduced(function_definition,[new_symbols(definition,[sF9])]) ).
tff(f38,plain,
write(sK0,sF6,sF9) = sF10,
introduced(function_definition,[new_symbols(definition,[sF10])]) ).
tff(f26,plain,
sK1 = write(sK0,$sum(sK2,2),$sum(read(sK0,$sum(sK2,1)),1)),
inference(cnf_transformation,[],[f24]) ).
tff(f85,plain,
sF9 = read(sF10,sF6),
inference(superposition,[],[f31,f38]) ).
tff(f31,plain,
! [X2: $int,X0: array,X1: $int] : ( read(write(X0,X1,X2),X1) = X2 ),
inference(cnf_transformation,[],[f1]) ).
tff(f1,axiom,
! [X0: array,X1: $int,X2: $int] : ( read(write(X0,X1,X2),X1) = X2 ),
file('/export/starexec/sandbox/tmp/tmp.1nAm5TSJqY/Vampire---4.8_2200',ax1) ).
tff(f1863,plain,
( $less(0,sF9)
| ~ spl11_19 ),
inference(subsumption_resolution,[],[f1859,f11]) ).
tff(f11,plain,
! [X0: $int] : ~ $less(X0,X0),
introduced(theory_axiom_142,[]) ).
tff(f1859,plain,
( $less(sF8,sF8)
| $less(0,sF9)
| ~ spl11_19 ),
inference(resolution,[],[f303,f74]) ).
tff(f74,plain,
! [X0: $int] :
( $less(sF8,X0)
| $less(X0,sF9) ),
inference(superposition,[],[f15,f37]) ).
tff(f15,plain,
! [X0: $int,X1: $int] :
( $less(X1,$sum(X0,1))
| $less(X0,X1) ),
introduced(theory_axiom_147,[]) ).
tff(f303,plain,
( ! [X0: $int] :
( ~ $less(X0,0)
| $less(X0,sF8) )
| ~ spl11_19 ),
inference(avatar_component_clause,[],[f302]) ).
tff(f302,plain,
( spl11_19
<=> ! [X0: $int] :
( $less(X0,sF8)
| ~ $less(X0,0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_19])]) ).
tff(f1001,plain,
~ spl11_1,
inference(avatar_contradiction_clause,[],[f1000]) ).
tff(f1000,plain,
( $false
| ~ spl11_1 ),
inference(subsumption_resolution,[],[f999,f11]) ).
tff(f999,plain,
( $less(sF7,sF7)
| ~ spl11_1 ),
inference(subsumption_resolution,[],[f993,f11]) ).
tff(f993,plain,
( $less(sK2,sK2)
| $less(sF7,sF7)
| ~ spl11_1 ),
inference(resolution,[],[f305,f73]) ).
tff(f73,plain,
! [X0: $int] :
( $less(sK2,X0)
| $less(X0,sF7) ),
inference(superposition,[],[f15,f35]) ).
tff(f305,plain,
( ! [X0: $int] :
( ~ $less(X0,sF7)
| $less(X0,sK2) )
| ~ spl11_1 ),
inference(resolution,[],[f44,f12]) ).
tff(f12,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X1,X2)
| ~ $less(X0,X1)
| $less(X0,X2) ),
introduced(theory_axiom_143,[]) ).
tff(f44,plain,
( $less(sF7,sK2)
| ~ spl11_1 ),
inference(avatar_component_clause,[],[f42]) ).
tff(f42,plain,
( spl11_1
<=> $less(sF7,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_1])]) ).
tff(f664,plain,
~ spl11_14,
inference(avatar_contradiction_clause,[],[f663]) ).
tff(f663,plain,
( $false
| ~ spl11_14 ),
inference(subsumption_resolution,[],[f662,f27]) ).
tff(f27,plain,
~ $less(sK4,sK2),
inference(cnf_transformation,[],[f24]) ).
tff(f662,plain,
( $less(sK4,sK2)
| ~ spl11_14 ),
inference(subsumption_resolution,[],[f661,f28]) ).
tff(f28,plain,
~ $less(sK3,sK4),
inference(cnf_transformation,[],[f24]) ).
tff(f661,plain,
( $less(sK3,sK4)
| $less(sK4,sK2)
| ~ spl11_14 ),
inference(subsumption_resolution,[],[f654,f33]) ).
tff(f654,plain,
( $less(0,sF5)
| $less(sK3,sK4)
| $less(sK4,sK2)
| ~ spl11_14 ),
inference(superposition,[],[f25,f250]) ).
tff(f250,plain,
( ( sF5 = read(sK0,sK4) )
| ~ spl11_14 ),
inference(avatar_component_clause,[],[f248]) ).
tff(f248,plain,
( spl11_14
<=> ( sF5 = read(sK0,sK4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_14])]) ).
tff(f25,plain,
! [X5: $int] :
( $less(0,read(sK0,X5))
| $less(sK3,X5)
| $less(X5,sK2) ),
inference(cnf_transformation,[],[f24]) ).
tff(f350,plain,
( ~ spl11_15
| ~ spl11_9 ),
inference(avatar_split_clause,[],[f346,f126,f254]) ).
tff(f254,plain,
( spl11_15
<=> $less(sK4,sF7) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_15])]) ).
tff(f346,plain,
( ~ $less(sK4,sF7)
| ~ spl11_9 ),
inference(resolution,[],[f128,f78]) ).
tff(f78,plain,
! [X0: $int] :
( ~ $less(sK2,X0)
| ~ $less(X0,sF7) ),
inference(superposition,[],[f17,f35]) ).
tff(f17,plain,
! [X0: $int,X1: $int] :
( ~ $less(X1,$sum(X0,1))
| ~ $less(X0,X1) ),
introduced(theory_axiom_161,[]) ).
tff(f128,plain,
( $less(sK2,sK4)
| ~ spl11_9 ),
inference(avatar_component_clause,[],[f126]) ).
tff(f335,plain,
( ~ spl11_2
| ~ spl11_6
| ~ spl11_9 ),
inference(avatar_contradiction_clause,[],[f334]) ).
tff(f334,plain,
( $false
| ~ spl11_2
| ~ spl11_6
| ~ spl11_9 ),
inference(subsumption_resolution,[],[f328,f48]) ).
tff(f48,plain,
( $less(sK3,sF7)
| ~ spl11_2 ),
inference(avatar_component_clause,[],[f46]) ).
tff(f46,plain,
( spl11_2
<=> $less(sK3,sF7) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_2])]) ).
tff(f328,plain,
( ~ $less(sK3,sF7)
| ~ spl11_6
| ~ spl11_9 ),
inference(resolution,[],[f78,f258]) ).
tff(f258,plain,
( $less(sK2,sK3)
| ~ spl11_6
| ~ spl11_9 ),
inference(forward_demodulation,[],[f128,f115]) ).
tff(f115,plain,
( ( sK3 = sK4 )
| ~ spl11_6 ),
inference(avatar_component_clause,[],[f113]) ).
tff(f113,plain,
( spl11_6
<=> ( sK3 = sK4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_6])]) ).
tff(f304,plain,
( spl11_1
| spl11_2
| spl11_19 ),
inference(avatar_split_clause,[],[f94,f302,f46,f42]) ).
tff(f94,plain,
! [X0: $int] :
( $less(X0,sF8)
| ~ $less(X0,0)
| $less(sK3,sF7)
| $less(sF7,sK2) ),
inference(superposition,[],[f89,f36]) ).
tff(f89,plain,
! [X0: $int,X1: $int] :
( $less(X0,read(sK0,X1))
| ~ $less(X0,0)
| $less(sK3,X1)
| $less(X1,sK2) ),
inference(resolution,[],[f12,f25]) ).
tff(f257,plain,
( spl11_15
| spl11_6
| ~ spl11_2 ),
inference(avatar_split_clause,[],[f193,f46,f113,f254]) ).
tff(f193,plain,
( ( sK3 = sK4 )
| $less(sK4,sF7)
| ~ spl11_2 ),
inference(resolution,[],[f98,f28]) ).
tff(f98,plain,
( ! [X0: $int] :
( $less(sK3,X0)
| ( sK3 = X0 )
| $less(X0,sF7) )
| ~ spl11_2 ),
inference(resolution,[],[f13,f91]) ).
tff(f91,plain,
( ! [X0: $int] :
( ~ $less(X0,sK3)
| $less(X0,sF7) )
| ~ spl11_2 ),
inference(resolution,[],[f12,f48]) ).
tff(f13,plain,
! [X0: $int,X1: $int] :
( $less(X1,X0)
| $less(X0,X1)
| ( X0 = X1 ) ),
introduced(theory_axiom_144,[]) ).
tff(f252,plain,
( spl11_13
| spl11_14 ),
inference(avatar_split_clause,[],[f212,f248,f244]) ).
tff(f212,plain,
( ( sF5 = read(sK0,sK4) )
| ( sK4 = sF6 ) ),
inference(superposition,[],[f210,f32]) ).
tff(f210,plain,
! [X0: $int] :
( ( read(sK0,X0) = read(sK1,X0) )
| ( sF6 = X0 ) ),
inference(forward_demodulation,[],[f207,f39]) ).
tff(f207,plain,
! [X0: $int] :
( ( read(sK0,X0) = read(sF10,X0) )
| ( sF6 = X0 ) ),
inference(superposition,[],[f30,f38]) ).
tff(f30,plain,
! [X2: $int,X3: $int,X0: array,X1: $int] :
( ( read(write(X0,X1,X3),X2) = read(X0,X2) )
| ( X1 = X2 ) ),
inference(cnf_transformation,[],[f18]) ).
tff(f18,plain,
! [X0: array,X1: $int,X2: $int,X3: $int] :
( ( read(write(X0,X1,X3),X2) = read(X0,X2) )
| ( X1 = X2 ) ),
inference(rectify,[],[f2]) ).
tff(f2,axiom,
! [X3: array,X4: $int,X5: $int,X6: $int] :
( ( read(write(X3,X4,X6),X5) = read(X3,X5) )
| ( X4 = X5 ) ),
file('/export/starexec/sandbox/tmp/tmp.1nAm5TSJqY/Vampire---4.8_2200',ax2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.13 % Problem : DAT012_1 : TPTP v8.1.2. Released v5.0.0.
% 0.10/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.36 % Computer : n010.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Tue Apr 30 16:20:49 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a TF0_THM_EQU_ARI problem
% 0.14/0.36 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.1nAm5TSJqY/Vampire---4.8_2200
% 0.55/0.75 % (2440)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.55/0.75 % (2445)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.55/0.75 % (2438)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.55/0.75 % (2439)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.55/0.75 % (2441)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.55/0.75 % (2442)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.55/0.75 % (2443)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.55/0.75 % (2444)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.55/0.77 % (2438)Instruction limit reached!
% 0.55/0.77 % (2438)------------------------------
% 0.55/0.77 % (2438)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.77 % (2438)Termination reason: Unknown
% 0.55/0.77 % (2438)Termination phase: Saturation
% 0.55/0.77
% 0.55/0.77 % (2438)Memory used [KB]: 1147
% 0.55/0.77 % (2438)Time elapsed: 0.020 s
% 0.55/0.77 % (2438)Instructions burned: 34 (million)
% 0.55/0.77 % (2438)------------------------------
% 0.55/0.77 % (2438)------------------------------
% 0.55/0.77 % (2441)Instruction limit reached!
% 0.55/0.77 % (2441)------------------------------
% 0.55/0.77 % (2441)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.77 % (2441)Termination reason: Unknown
% 0.55/0.77 % (2441)Termination phase: Saturation
% 0.55/0.77
% 0.55/0.77 % (2441)Memory used [KB]: 1333
% 0.55/0.77 % (2441)Time elapsed: 0.020 s
% 0.55/0.77 % (2441)Instructions burned: 33 (million)
% 0.55/0.77 % (2441)------------------------------
% 0.55/0.77 % (2441)------------------------------
% 0.58/0.77 % (2442)Instruction limit reached!
% 0.58/0.77 % (2442)------------------------------
% 0.58/0.77 % (2442)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.77 % (2442)Termination reason: Unknown
% 0.58/0.77 % (2442)Termination phase: Saturation
% 0.58/0.77
% 0.58/0.77 % (2442)Memory used [KB]: 1230
% 0.58/0.77 % (2442)Time elapsed: 0.021 s
% 0.58/0.77 % (2442)Instructions burned: 34 (million)
% 0.58/0.77 % (2442)------------------------------
% 0.58/0.77 % (2442)------------------------------
% 0.58/0.77 % (2446)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2995ds/55Mi)
% 0.58/0.78 % (2448)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/208Mi)
% 0.58/0.78 % (2447)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2995ds/50Mi)
% 0.58/0.78 % (2440)Instruction limit reached!
% 0.58/0.78 % (2440)------------------------------
% 0.58/0.78 % (2440)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.78 % (2440)Termination reason: Unknown
% 0.58/0.78 % (2440)Termination phase: Saturation
% 0.58/0.78
% 0.58/0.78 % (2440)Memory used [KB]: 1549
% 0.58/0.78 % (2440)Time elapsed: 0.030 s
% 0.58/0.78 % (2440)Instructions burned: 78 (million)
% 0.58/0.78 % (2440)------------------------------
% 0.58/0.78 % (2440)------------------------------
% 0.58/0.78 % (2443)Instruction limit reached!
% 0.58/0.78 % (2443)------------------------------
% 0.58/0.78 % (2443)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.78 % (2443)Termination reason: Unknown
% 0.58/0.78 % (2443)Termination phase: Saturation
% 0.58/0.78
% 0.58/0.78 % (2443)Memory used [KB]: 1275
% 0.58/0.78 % (2443)Time elapsed: 0.030 s
% 0.58/0.78 % (2443)Instructions burned: 45 (million)
% 0.58/0.78 % (2443)------------------------------
% 0.58/0.78 % (2443)------------------------------
% 0.58/0.78 % (2445)Instruction limit reached!
% 0.58/0.78 % (2445)------------------------------
% 0.58/0.78 % (2445)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.78 % (2445)Termination reason: Unknown
% 0.58/0.78 % (2445)Termination phase: Saturation
% 0.58/0.78
% 0.58/0.78 % (2445)Memory used [KB]: 1289
% 0.58/0.78 % (2445)Time elapsed: 0.033 s
% 0.58/0.78 % (2445)Instructions burned: 56 (million)
% 0.58/0.78 % (2445)------------------------------
% 0.58/0.78 % (2445)------------------------------
% 0.58/0.78 % (2458)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2995ds/518Mi)
% 0.58/0.78 % (2439)Instruction limit reached!
% 0.58/0.78 % (2439)------------------------------
% 0.58/0.78 % (2439)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.78 % (2439)Termination reason: Unknown
% 0.58/0.78 % (2439)Termination phase: Saturation
% 0.58/0.78
% 0.58/0.78 % (2457)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2995ds/52Mi)
% 0.58/0.78 % (2439)Memory used [KB]: 1502
% 0.58/0.78 % (2439)Time elapsed: 0.036 s
% 0.58/0.78 % (2439)Instructions burned: 51 (million)
% 0.58/0.78 % (2439)------------------------------
% 0.58/0.78 % (2439)------------------------------
% 0.58/0.78 % (2459)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2995ds/42Mi)
% 0.58/0.79 % (2466)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2995ds/243Mi)
% 0.58/0.80 % (2459)Instruction limit reached!
% 0.58/0.80 % (2459)------------------------------
% 0.58/0.80 % (2459)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.80 % (2459)Termination reason: Unknown
% 0.58/0.80 % (2459)Termination phase: Saturation
% 0.58/0.80
% 0.58/0.80 % (2459)Memory used [KB]: 1158
% 0.58/0.80 % (2459)Time elapsed: 0.021 s
% 0.58/0.80 % (2459)Instructions burned: 44 (million)
% 0.58/0.80 % (2459)------------------------------
% 0.58/0.80 % (2459)------------------------------
% 0.58/0.80 % (2476)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2995ds/117Mi)
% 0.58/0.81 % (2444)Instruction limit reached!
% 0.58/0.81 % (2444)------------------------------
% 0.58/0.81 % (2444)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.81 % (2444)Termination reason: Unknown
% 0.58/0.81 % (2444)Termination phase: Saturation
% 0.58/0.82
% 0.58/0.82 % (2444)Memory used [KB]: 1728
% 0.58/0.82 % (2444)Time elapsed: 0.069 s
% 0.58/0.82 % (2444)Instructions burned: 83 (million)
% 0.58/0.82 % (2444)------------------------------
% 0.58/0.82 % (2444)------------------------------
% 0.58/0.82 % (2482)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2995ds/143Mi)
% 0.58/0.82 % (2447)Instruction limit reached!
% 0.58/0.82 % (2447)------------------------------
% 0.58/0.82 % (2447)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.82 % (2447)Termination reason: Unknown
% 0.58/0.82 % (2447)Termination phase: Saturation
% 0.58/0.82
% 0.58/0.82 % (2447)Memory used [KB]: 1348
% 0.58/0.82 % (2447)Time elapsed: 0.051 s
% 0.58/0.82 % (2447)Instructions burned: 50 (million)
% 0.58/0.82 % (2447)------------------------------
% 0.58/0.82 % (2447)------------------------------
% 0.58/0.83 % (2484)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on Vampire---4 for (2995ds/93Mi)
% 0.58/0.83 % (2446)Instruction limit reached!
% 0.58/0.83 % (2446)------------------------------
% 0.58/0.83 % (2446)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.83 % (2446)Termination reason: Unknown
% 0.58/0.83 % (2446)Termination phase: Saturation
% 0.58/0.83
% 0.58/0.83 % (2446)Memory used [KB]: 1538
% 0.58/0.83 % (2446)Time elapsed: 0.059 s
% 0.58/0.83 % (2446)Instructions burned: 55 (million)
% 0.58/0.83 % (2446)------------------------------
% 0.58/0.83 % (2446)------------------------------
% 0.58/0.83 % (2457)Instruction limit reached!
% 0.58/0.83 % (2457)------------------------------
% 0.58/0.83 % (2457)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.83 % (2457)Termination reason: Unknown
% 0.58/0.83 % (2457)Termination phase: Saturation
% 0.58/0.83
% 0.58/0.83 % (2457)Memory used [KB]: 1322
% 0.58/0.83 % (2457)Time elapsed: 0.056 s
% 0.58/0.83 % (2457)Instructions burned: 52 (million)
% 0.58/0.83 % (2457)------------------------------
% 0.58/0.83 % (2457)------------------------------
% 0.58/0.84 % (2486)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on Vampire---4 for (2995ds/62Mi)
% 0.58/0.84 % (2488)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on Vampire---4 for (2995ds/32Mi)
% 1.05/0.86 % (2476)Instruction limit reached!
% 1.05/0.86 % (2476)------------------------------
% 1.05/0.86 % (2476)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.05/0.86 % (2476)Termination reason: Unknown
% 1.05/0.86 % (2476)Termination phase: Saturation
% 1.05/0.86
% 1.05/0.86 % (2476)Memory used [KB]: 1500
% 1.05/0.86 % (2476)Time elapsed: 0.061 s
% 1.05/0.86 % (2476)Instructions burned: 118 (million)
% 1.05/0.86 % (2476)------------------------------
% 1.05/0.86 % (2476)------------------------------
% 1.05/0.87 % (2490)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1919:ss=axioms:sgt=8:lsd=50:sd=7_0 on Vampire---4 for (2995ds/1919Mi)
% 1.05/0.87 % (2488)Instruction limit reached!
% 1.05/0.87 % (2488)------------------------------
% 1.05/0.87 % (2488)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.05/0.87 % (2488)Termination reason: Unknown
% 1.05/0.87 % (2488)Termination phase: Saturation
% 1.05/0.87
% 1.05/0.87 % (2488)Memory used [KB]: 1321
% 1.05/0.87 % (2488)Time elapsed: 0.033 s
% 1.05/0.87 % (2488)Instructions burned: 32 (million)
% 1.05/0.87 % (2488)------------------------------
% 1.05/0.87 % (2488)------------------------------
% 1.05/0.88 % (2493)ott-32_5:1_sil=4000:sp=occurrence:urr=full:rp=on:nwc=5.0:newcnf=on:st=5.0:s2pl=on:i=55:sd=2:ins=2:ss=included:rawr=on:anc=none:sos=on:s2agt=8:spb=intro:ep=RS:avsq=on:avsqr=27,155:lma=on_0 on Vampire---4 for (2994ds/55Mi)
% 1.15/0.89 % (2448)First to succeed.
% 1.15/0.89 % (2448)Refutation found. Thanks to Tanya!
% 1.15/0.89 % SZS status Theorem for Vampire---4
% 1.15/0.89 % SZS output start Proof for Vampire---4
% See solution above
% 1.15/0.89 % (2448)------------------------------
% 1.15/0.89 % (2448)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.15/0.89 % (2448)Termination reason: Refutation
% 1.15/0.89
% 1.15/0.89 % (2448)Memory used [KB]: 1707
% 1.15/0.89 % (2448)Time elapsed: 0.119 s
% 1.15/0.89 % (2448)Instructions burned: 127 (million)
% 1.15/0.89 % (2448)------------------------------
% 1.15/0.89 % (2448)------------------------------
% 1.15/0.89 % (2434)Success in time 0.525 s
% 1.15/0.89 % Vampire---4.8 exiting
%------------------------------------------------------------------------------