TSTP Solution File: DAT050_1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : DAT050_1 : TPTP v8.2.0. 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 : n027.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 May 20 19:49:27 EDT 2024
% Result : Theorem 0.62s 0.81s
% Output : Refutation 0.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 29
% Syntax : Number of formulae : 140 ( 13 unt; 8 typ; 0 def)
% Number of atoms : 335 ( 91 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 361 ( 158 ~; 165 |; 14 &)
% ( 23 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number arithmetic : 225 ( 0 atm; 55 fun; 115 num; 55 var)
% Number of types : 3 ( 1 usr; 1 ari)
% Number of type conns : 7 ( 4 >; 3 *; 0 +; 0 <<)
% Number of predicates : 13 ( 11 usr; 11 prp; 0-2 aty)
% Number of functors : 12 ( 6 usr; 6 con; 0-2 aty)
% Number of variables : 96 ( 92 !; 4 ?; 96 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
collection: $tType ).
tff(func_def_0,type,
empty: collection ).
tff(func_def_1,type,
add: ( $int * collection ) > collection ).
tff(func_def_2,type,
remove: ( $int * collection ) > collection ).
tff(func_def_3,type,
count: collection > $int ).
tff(func_def_9,type,
sK0: collection ).
tff(func_def_10,type,
sK1: $int ).
tff(pred_def_1,type,
in: ( $int * collection ) > $o ).
tff(f510,plain,
$false,
inference(avatar_sat_refutation,[],[f91,f96,f106,f123,f142,f152,f158,f163,f184,f197,f218,f227,f230,f238,f509]) ).
tff(f509,plain,
( spl2_3
| ~ spl2_6
| ~ spl2_9 ),
inference(avatar_contradiction_clause,[],[f508]) ).
tff(f508,plain,
( $false
| spl2_3
| ~ spl2_6
| ~ spl2_9 ),
inference(subsumption_resolution,[],[f506,f137]) ).
tff(f137,plain,
( in(sK1,sK0)
| ~ spl2_9 ),
inference(avatar_component_clause,[],[f135]) ).
tff(f135,plain,
( spl2_9
<=> in(sK1,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_9])]) ).
tff(f506,plain,
( ~ in(sK1,sK0)
| spl2_3
| ~ spl2_6
| ~ spl2_9 ),
inference(trivial_inequality_removal,[],[f505]) ).
tff(f505,plain,
( ( $sum(-1,count(sK0)) != $sum(-1,count(sK0)) )
| ~ in(sK1,sK0)
| spl2_3
| ~ spl2_6
| ~ spl2_9 ),
inference(superposition,[],[f499,f59]) ).
tff(f59,plain,
! [X0: $int,X1: collection] :
( ( count(X1) = count(add(X0,X1)) )
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f46]) ).
tff(f46,plain,
! [X0: $int,X1: collection] :
( ( in(X0,X1)
| ( count(X1) != count(add(X0,X1)) ) )
& ( ( count(X1) = count(add(X0,X1)) )
| ~ in(X0,X1) ) ),
inference(nnf_transformation,[],[f32]) ).
tff(f32,plain,
! [X0: $int,X1: collection] :
( in(X0,X1)
<=> ( count(X1) = count(add(X0,X1)) ) ),
inference(rectify,[],[f9]) ).
tff(f9,axiom,
! [X15: $int,X16: collection] :
( in(X15,X16)
<=> ( count(add(X15,X16)) = count(X16) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
tff(f499,plain,
( ( $sum(-1,count(add(sK1,sK0))) != $sum(-1,count(sK0)) )
| spl2_3
| ~ spl2_6
| ~ spl2_9 ),
inference(forward_demodulation,[],[f498,f17]) ).
tff(f17,plain,
! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_135,[]) ).
tff(f498,plain,
( ( $sum(count(sK0),-1) != $sum(-1,count(add(sK1,sK0))) )
| spl2_3
| ~ spl2_6
| ~ spl2_9 ),
inference(subsumption_resolution,[],[f496,f137]) ).
tff(f496,plain,
( ( $sum(count(sK0),-1) != $sum(-1,count(add(sK1,sK0))) )
| ~ in(sK1,sK0)
| spl2_3
| ~ spl2_6 ),
inference(superposition,[],[f489,f79]) ).
tff(f79,plain,
! [X0: $int,X1: collection] :
( ( count(remove(X0,X1)) = $sum(count(X1),-1) )
| ~ in(X0,X1) ),
inference(evaluation,[],[f57]) ).
tff(f57,plain,
! [X0: $int,X1: collection] :
( ( count(remove(X0,X1)) = $sum(count(X1),$uminus(1)) )
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f45]) ).
tff(f45,plain,
! [X0: $int,X1: collection] :
( ( in(X0,X1)
| ( count(remove(X0,X1)) != $sum(count(X1),$uminus(1)) ) )
& ( ( count(remove(X0,X1)) = $sum(count(X1),$uminus(1)) )
| ~ in(X0,X1) ) ),
inference(nnf_transformation,[],[f31]) ).
tff(f31,plain,
! [X0: $int,X1: collection] :
( in(X0,X1)
<=> ( count(remove(X0,X1)) = $sum(count(X1),$uminus(1)) ) ),
inference(rectify,[],[f16]) ).
tff(f16,plain,
! [X17: $int,X18: collection] :
( in(X17,X18)
<=> ( count(remove(X17,X18)) = $sum(count(X18),$uminus(1)) ) ),
inference(theory_normalization,[],[f10]) ).
tff(f10,axiom,
! [X17: $int,X18: collection] :
( in(X17,X18)
<=> ( count(remove(X17,X18)) = $difference(count(X18),1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
tff(f489,plain,
( ( count(remove(sK1,sK0)) != $sum(-1,count(add(sK1,sK0))) )
| spl2_3
| ~ spl2_6 ),
inference(subsumption_resolution,[],[f488,f118]) ).
tff(f118,plain,
( in(0,remove(sK1,sK0))
| ~ spl2_6 ),
inference(avatar_component_clause,[],[f116]) ).
tff(f116,plain,
( spl2_6
<=> in(0,remove(sK1,sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_6])]) ).
tff(f488,plain,
( ( count(remove(sK1,sK0)) != $sum(-1,count(add(sK1,sK0))) )
| ~ in(0,remove(sK1,sK0))
| spl2_3 ),
inference(superposition,[],[f242,f59]) ).
tff(f242,plain,
( ( count(add(0,remove(sK1,sK0))) != $sum(-1,count(add(sK1,sK0))) )
| spl2_3 ),
inference(forward_demodulation,[],[f241,f17]) ).
tff(f241,plain,
( ( count(add(0,remove(sK1,sK0))) != $sum(count(add(sK1,sK0)),-1) )
| spl2_3 ),
inference(subsumption_resolution,[],[f239,f71]) ).
tff(f71,plain,
! [X0: $int,X1: collection] : in(X0,add(X0,X1)),
inference(cnf_transformation,[],[f37]) ).
tff(f37,plain,
! [X0: $int,X1: collection] : in(X0,add(X0,X1)),
inference(rectify,[],[f2]) ).
tff(f2,axiom,
! [X1: $int,X2: collection] : in(X1,add(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
tff(f239,plain,
( ( count(add(0,remove(sK1,sK0))) != $sum(count(add(sK1,sK0)),-1) )
| ~ in(sK1,add(sK1,sK0))
| spl2_3 ),
inference(superposition,[],[f95,f79]) ).
tff(f95,plain,
( ( count(add(0,remove(sK1,sK0))) != count(remove(sK1,add(sK1,sK0))) )
| spl2_3 ),
inference(avatar_component_clause,[],[f93]) ).
tff(f93,plain,
( spl2_3
<=> ( count(add(0,remove(sK1,sK0))) = count(remove(sK1,add(sK1,sK0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).
tff(f238,plain,
( spl2_4
| ~ spl2_1 ),
inference(avatar_split_clause,[],[f235,f84,f99]) ).
tff(f99,plain,
( spl2_4
<=> in(0,add(sK1,sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_4])]) ).
tff(f84,plain,
( spl2_1
<=> in(0,remove(sK1,add(sK1,sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).
tff(f235,plain,
( in(0,add(sK1,sK0))
| ~ spl2_1 ),
inference(resolution,[],[f86,f66]) ).
tff(f66,plain,
! [X2: $int,X0: $int,X1: collection] :
( ~ in(X0,remove(X2,X1))
| in(X0,X1) ),
inference(cnf_transformation,[],[f50]) ).
tff(f50,plain,
! [X0: $int,X1: collection,X2: $int] :
( ( ( ( X0 != X2 )
& in(X0,X1) )
| ~ in(X0,remove(X2,X1)) )
& ( in(X0,remove(X2,X1))
| ( X0 = X2 )
| ~ in(X0,X1) ) ),
inference(flattening,[],[f49]) ).
tff(f49,plain,
! [X0: $int,X1: collection,X2: $int] :
( ( ( ( X0 != X2 )
& in(X0,X1) )
| ~ in(X0,remove(X2,X1)) )
& ( in(X0,remove(X2,X1))
| ( X0 = X2 )
| ~ in(X0,X1) ) ),
inference(nnf_transformation,[],[f35]) ).
tff(f35,plain,
! [X0: $int,X1: collection,X2: $int] :
( ( ( X0 != X2 )
& in(X0,X1) )
<=> in(X0,remove(X2,X1)) ),
inference(rectify,[],[f5]) ).
tff(f5,axiom,
! [X8: $int,X9: collection,X10: $int] :
( ( ( X8 != X10 )
& in(X8,X9) )
<=> in(X8,remove(X10,X9)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
tff(f86,plain,
( in(0,remove(sK1,add(sK1,sK0)))
| ~ spl2_1 ),
inference(avatar_component_clause,[],[f84]) ).
tff(f230,plain,
( ~ spl2_5
| ~ spl2_6 ),
inference(avatar_contradiction_clause,[],[f229]) ).
tff(f229,plain,
( $false
| ~ spl2_5
| ~ spl2_6 ),
inference(subsumption_resolution,[],[f228,f72]) ).
tff(f72,plain,
! [X0: $int,X1: collection] : ~ in(X0,remove(X0,X1)),
inference(cnf_transformation,[],[f38]) ).
tff(f38,plain,
! [X0: $int,X1: collection] : ~ in(X0,remove(X0,X1)),
inference(rectify,[],[f3]) ).
tff(f3,axiom,
! [X3: $int,X4: collection] : ~ in(X3,remove(X3,X4)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
tff(f228,plain,
( in(0,remove(0,sK0))
| ~ spl2_5
| ~ spl2_6 ),
inference(forward_demodulation,[],[f118,f105]) ).
tff(f105,plain,
( ( 0 = sK1 )
| ~ spl2_5 ),
inference(avatar_component_clause,[],[f103]) ).
tff(f103,plain,
( spl2_5
<=> ( 0 = sK1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_5])]) ).
tff(f227,plain,
( ~ spl2_1
| ~ spl2_5 ),
inference(avatar_contradiction_clause,[],[f226]) ).
tff(f226,plain,
( $false
| ~ spl2_1
| ~ spl2_5 ),
inference(subsumption_resolution,[],[f220,f72]) ).
tff(f220,plain,
( in(0,remove(0,add(0,sK0)))
| ~ spl2_1
| ~ spl2_5 ),
inference(superposition,[],[f86,f105]) ).
tff(f218,plain,
( spl2_5
| spl2_6
| ~ spl2_14 ),
inference(avatar_split_clause,[],[f217,f194,f116,f103]) ).
tff(f194,plain,
( spl2_14
<=> in(0,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_14])]) ).
tff(f217,plain,
( ( 0 = sK1 )
| spl2_6
| ~ spl2_14 ),
inference(subsumption_resolution,[],[f216,f196]) ).
tff(f196,plain,
( in(0,sK0)
| ~ spl2_14 ),
inference(avatar_component_clause,[],[f194]) ).
tff(f216,plain,
( ( 0 = sK1 )
| ~ in(0,sK0)
| spl2_6 ),
inference(resolution,[],[f117,f65]) ).
tff(f65,plain,
! [X2: $int,X0: $int,X1: collection] :
( in(X0,remove(X2,X1))
| ( X0 = X2 )
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f50]) ).
tff(f117,plain,
( ~ in(0,remove(sK1,sK0))
| spl2_6 ),
inference(avatar_component_clause,[],[f116]) ).
tff(f197,plain,
( spl2_5
| spl2_14
| ~ spl2_4 ),
inference(avatar_split_clause,[],[f165,f99,f194,f103]) ).
tff(f165,plain,
( in(0,sK0)
| ( 0 = sK1 )
| ~ spl2_4 ),
inference(resolution,[],[f100,f70]) ).
tff(f70,plain,
! [X2: $int,X0: $int,X1: collection] :
( ~ in(X0,add(X2,X1))
| in(X0,X1)
| ( X0 = X2 ) ),
inference(cnf_transformation,[],[f52]) ).
tff(f52,plain,
! [X0: $int,X1: collection,X2: $int] :
( ( ( X0 = X2 )
| in(X0,X1)
| ~ in(X0,add(X2,X1)) )
& ( in(X0,add(X2,X1))
| ( ( X0 != X2 )
& ~ in(X0,X1) ) ) ),
inference(flattening,[],[f51]) ).
tff(f51,plain,
! [X0: $int,X1: collection,X2: $int] :
( ( ( X0 = X2 )
| in(X0,X1)
| ~ in(X0,add(X2,X1)) )
& ( in(X0,add(X2,X1))
| ( ( X0 != X2 )
& ~ in(X0,X1) ) ) ),
inference(nnf_transformation,[],[f36]) ).
tff(f36,plain,
! [X0: $int,X1: collection,X2: $int] :
( ( ( X0 = X2 )
| in(X0,X1) )
<=> in(X0,add(X2,X1)) ),
inference(rectify,[],[f4]) ).
tff(f4,axiom,
! [X5: $int,X6: collection,X7: $int] :
( ( ( X5 = X7 )
| in(X5,X6) )
<=> in(X5,add(X7,X6)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
tff(f100,plain,
( in(0,add(sK1,sK0))
| ~ spl2_4 ),
inference(avatar_component_clause,[],[f99]) ).
tff(f184,plain,
( spl2_9
| spl2_3
| ~ spl2_6
| ~ spl2_10 ),
inference(avatar_split_clause,[],[f177,f139,f116,f93,f135]) ).
tff(f139,plain,
( spl2_10
<=> ( count(add(sK1,sK0)) = $sum(1,count(sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_10])]) ).
tff(f177,plain,
( in(sK1,sK0)
| spl2_3
| ~ spl2_6
| ~ spl2_10 ),
inference(trivial_inequality_removal,[],[f176]) ).
tff(f176,plain,
( ( count(sK0) != count(sK0) )
| in(sK1,sK0)
| spl2_3
| ~ spl2_6
| ~ spl2_10 ),
inference(superposition,[],[f174,f55]) ).
tff(f55,plain,
! [X0: $int,X1: collection] :
( ( count(remove(X0,X1)) = count(X1) )
| in(X0,X1) ),
inference(cnf_transformation,[],[f44]) ).
tff(f44,plain,
! [X0: $int,X1: collection] :
( ( ~ in(X0,X1)
| ( count(remove(X0,X1)) != count(X1) ) )
& ( ( count(remove(X0,X1)) = count(X1) )
| in(X0,X1) ) ),
inference(nnf_transformation,[],[f30]) ).
tff(f30,plain,
! [X0: $int,X1: collection] :
( ~ in(X0,X1)
<=> ( count(remove(X0,X1)) = count(X1) ) ),
inference(rectify,[],[f11]) ).
tff(f11,axiom,
! [X19: $int,X20: collection] :
( ~ in(X19,X20)
<=> ( count(remove(X19,X20)) = count(X20) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
tff(f174,plain,
( ( count(sK0) != count(remove(sK1,sK0)) )
| spl2_3
| ~ spl2_6
| ~ spl2_10 ),
inference(subsumption_resolution,[],[f173,f118]) ).
tff(f173,plain,
( ( count(sK0) != count(remove(sK1,sK0)) )
| ~ in(0,remove(sK1,sK0))
| spl2_3
| ~ spl2_10 ),
inference(superposition,[],[f171,f59]) ).
tff(f171,plain,
( ( count(add(0,remove(sK1,sK0))) != count(sK0) )
| spl2_3
| ~ spl2_10 ),
inference(evaluation,[],[f170]) ).
tff(f170,plain,
( ( count(add(0,remove(sK1,sK0))) != $sum(-1,$sum(1,count(sK0))) )
| spl2_3
| ~ spl2_10 ),
inference(forward_demodulation,[],[f169,f140]) ).
tff(f140,plain,
( ( count(add(sK1,sK0)) = $sum(1,count(sK0)) )
| ~ spl2_10 ),
inference(avatar_component_clause,[],[f139]) ).
tff(f169,plain,
( ( count(add(0,remove(sK1,sK0))) != $sum(-1,count(add(sK1,sK0))) )
| spl2_3 ),
inference(forward_demodulation,[],[f168,f17]) ).
tff(f168,plain,
( ( count(add(0,remove(sK1,sK0))) != $sum(count(add(sK1,sK0)),-1) )
| spl2_3 ),
inference(subsumption_resolution,[],[f166,f71]) ).
tff(f166,plain,
( ( count(add(0,remove(sK1,sK0))) != $sum(count(add(sK1,sK0)),-1) )
| ~ in(sK1,add(sK1,sK0))
| spl2_3 ),
inference(superposition,[],[f95,f79]) ).
tff(f163,plain,
( spl2_4
| ~ spl2_6 ),
inference(avatar_contradiction_clause,[],[f162]) ).
tff(f162,plain,
( $false
| spl2_4
| ~ spl2_6 ),
inference(subsumption_resolution,[],[f160,f107]) ).
tff(f107,plain,
( ~ in(0,sK0)
| spl2_4 ),
inference(resolution,[],[f101,f68]) ).
tff(f68,plain,
! [X2: $int,X0: $int,X1: collection] :
( in(X0,add(X2,X1))
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f52]) ).
tff(f101,plain,
( ~ in(0,add(sK1,sK0))
| spl2_4 ),
inference(avatar_component_clause,[],[f99]) ).
tff(f160,plain,
( in(0,sK0)
| ~ spl2_6 ),
inference(resolution,[],[f118,f66]) ).
tff(f158,plain,
( spl2_9
| spl2_10 ),
inference(avatar_split_clause,[],[f155,f139,f135]) ).
tff(f155,plain,
( in(sK1,sK0)
| spl2_10 ),
inference(subsumption_resolution,[],[f153,f17]) ).
tff(f153,plain,
( ( $sum(count(sK0),1) != $sum(1,count(sK0)) )
| in(sK1,sK0)
| spl2_10 ),
inference(superposition,[],[f141,f61]) ).
tff(f61,plain,
! [X0: $int,X1: collection] :
( ( count(add(X0,X1)) = $sum(count(X1),1) )
| in(X0,X1) ),
inference(cnf_transformation,[],[f47]) ).
tff(f47,plain,
! [X0: $int,X1: collection] :
( ( ~ in(X0,X1)
| ( count(add(X0,X1)) != $sum(count(X1),1) ) )
& ( ( count(add(X0,X1)) = $sum(count(X1),1) )
| in(X0,X1) ) ),
inference(nnf_transformation,[],[f33]) ).
tff(f33,plain,
! [X0: $int,X1: collection] :
( ~ in(X0,X1)
<=> ( count(add(X0,X1)) = $sum(count(X1),1) ) ),
inference(rectify,[],[f8]) ).
tff(f8,axiom,
! [X13: $int,X14: collection] :
( ~ in(X13,X14)
<=> ( count(add(X13,X14)) = $sum(count(X14),1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
tff(f141,plain,
( ( count(add(sK1,sK0)) != $sum(1,count(sK0)) )
| spl2_10 ),
inference(avatar_component_clause,[],[f139]) ).
tff(f152,plain,
( ~ spl2_9
| spl2_7 ),
inference(avatar_split_clause,[],[f145,f120,f135]) ).
tff(f120,plain,
( spl2_7
<=> ( count(add(sK1,sK0)) = $sum(1,count(remove(sK1,sK0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_7])]) ).
tff(f145,plain,
( ~ in(sK1,sK0)
| spl2_7 ),
inference(trivial_inequality_removal,[],[f144]) ).
tff(f144,plain,
( ( count(sK0) != count(sK0) )
| ~ in(sK1,sK0)
| spl2_7 ),
inference(superposition,[],[f133,f59]) ).
tff(f133,plain,
( ( count(add(sK1,sK0)) != count(sK0) )
| spl2_7 ),
inference(subsumption_resolution,[],[f132,f60]) ).
tff(f60,plain,
! [X0: $int,X1: collection] :
( ( count(X1) != count(add(X0,X1)) )
| in(X0,X1) ),
inference(cnf_transformation,[],[f46]) ).
tff(f132,plain,
( ( count(add(sK1,sK0)) != count(sK0) )
| ~ in(sK1,sK0)
| spl2_7 ),
inference(evaluation,[],[f130]) ).
tff(f130,plain,
( ( count(add(sK1,sK0)) != $sum(1,$sum(count(sK0),-1)) )
| ~ in(sK1,sK0)
| spl2_7 ),
inference(superposition,[],[f122,f79]) ).
tff(f122,plain,
( ( count(add(sK1,sK0)) != $sum(1,count(remove(sK1,sK0))) )
| spl2_7 ),
inference(avatar_component_clause,[],[f120]) ).
tff(f142,plain,
( spl2_9
| ~ spl2_10
| spl2_7 ),
inference(avatar_split_clause,[],[f131,f120,f139,f135]) ).
tff(f131,plain,
( ( count(add(sK1,sK0)) != $sum(1,count(sK0)) )
| in(sK1,sK0)
| spl2_7 ),
inference(superposition,[],[f122,f55]) ).
tff(f123,plain,
( spl2_6
| ~ spl2_7
| spl2_2 ),
inference(avatar_split_clause,[],[f114,f88,f120,f116]) ).
tff(f88,plain,
( spl2_2
<=> ( count(add(0,remove(sK1,sK0))) = $sum(1,count(remove(sK1,add(sK1,sK0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).
tff(f114,plain,
( ( count(add(sK1,sK0)) != $sum(1,count(remove(sK1,sK0))) )
| in(0,remove(sK1,sK0))
| spl2_2 ),
inference(forward_demodulation,[],[f112,f17]) ).
tff(f112,plain,
( ( count(add(sK1,sK0)) != $sum(count(remove(sK1,sK0)),1) )
| in(0,remove(sK1,sK0))
| spl2_2 ),
inference(superposition,[],[f111,f61]) ).
tff(f111,plain,
( ( count(add(0,remove(sK1,sK0))) != count(add(sK1,sK0)) )
| spl2_2 ),
inference(subsumption_resolution,[],[f110,f71]) ).
tff(f110,plain,
( ( count(add(0,remove(sK1,sK0))) != count(add(sK1,sK0)) )
| ~ in(sK1,add(sK1,sK0))
| spl2_2 ),
inference(evaluation,[],[f108]) ).
tff(f108,plain,
( ( count(add(0,remove(sK1,sK0))) != $sum(1,$sum(count(add(sK1,sK0)),-1)) )
| ~ in(sK1,add(sK1,sK0))
| spl2_2 ),
inference(superposition,[],[f90,f79]) ).
tff(f90,plain,
( ( count(add(0,remove(sK1,sK0))) != $sum(1,count(remove(sK1,add(sK1,sK0)))) )
| spl2_2 ),
inference(avatar_component_clause,[],[f88]) ).
tff(f106,plain,
( ~ spl2_4
| spl2_5
| spl2_1 ),
inference(avatar_split_clause,[],[f97,f84,f103,f99]) ).
tff(f97,plain,
( ( 0 = sK1 )
| ~ in(0,add(sK1,sK0))
| spl2_1 ),
inference(resolution,[],[f85,f65]) ).
tff(f85,plain,
( ~ in(0,remove(sK1,add(sK1,sK0)))
| spl2_1 ),
inference(avatar_component_clause,[],[f84]) ).
tff(f96,plain,
( ~ spl2_1
| ~ spl2_3 ),
inference(avatar_split_clause,[],[f81,f93,f84]) ).
tff(f81,plain,
( ( count(add(0,remove(sK1,sK0))) != count(remove(sK1,add(sK1,sK0))) )
| ~ in(0,remove(sK1,add(sK1,sK0))) ),
inference(superposition,[],[f53,f59]) ).
tff(f53,plain,
count(add(0,remove(sK1,add(sK1,sK0)))) != count(add(0,remove(sK1,sK0))),
inference(cnf_transformation,[],[f43]) ).
tff(f43,plain,
count(add(0,remove(sK1,add(sK1,sK0)))) != count(add(0,remove(sK1,sK0))),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f40,f42]) ).
tff(f42,plain,
( ? [X0: collection,X1: $int] : ( count(add(0,remove(X1,add(X1,X0)))) != count(add(0,remove(X1,X0))) )
=> ( count(add(0,remove(sK1,add(sK1,sK0)))) != count(add(0,remove(sK1,sK0))) ) ),
introduced(choice_axiom,[]) ).
tff(f40,plain,
? [X0: collection,X1: $int] : ( count(add(0,remove(X1,add(X1,X0)))) != count(add(0,remove(X1,X0))) ),
inference(ennf_transformation,[],[f14]) ).
tff(f14,negated_conjecture,
~ ! [X0: collection,X1: $int] : ( count(add(0,remove(X1,add(X1,X0)))) = count(add(0,remove(X1,X0))) ),
inference(negated_conjecture,[],[f13]) ).
tff(f13,conjecture,
! [X0: collection,X1: $int] : ( count(add(0,remove(X1,add(X1,X0)))) = count(add(0,remove(X1,X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
tff(f91,plain,
( spl2_1
| ~ spl2_2 ),
inference(avatar_split_clause,[],[f82,f88,f84]) ).
tff(f82,plain,
( ( count(add(0,remove(sK1,sK0))) != $sum(1,count(remove(sK1,add(sK1,sK0)))) )
| in(0,remove(sK1,add(sK1,sK0))) ),
inference(forward_demodulation,[],[f80,f17]) ).
tff(f80,plain,
( ( count(add(0,remove(sK1,sK0))) != $sum(count(remove(sK1,add(sK1,sK0))),1) )
| in(0,remove(sK1,add(sK1,sK0))) ),
inference(superposition,[],[f53,f61]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : DAT050_1 : TPTP v8.2.0. Released v5.0.0.
% 0.08/0.16 % 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
% 0.15/0.37 % Computer : n027.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Sun May 19 23:07:38 EDT 2024
% 0.15/0.38 % CPUTime :
% 0.15/0.38 This is a TF0_THM_EQU_ARI problem
% 0.15/0.38 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/benchmark/theBenchmark.p
% 0.57/0.78 % (17085)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.57/0.78 % (17087)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2996ds/56Mi)
% 0.57/0.78 % (17086)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 theBenchmark for (2996ds/83Mi)
% 0.57/0.78 % (17080)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 theBenchmark for (2996ds/34Mi)
% 0.57/0.78 % (17082)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.57/0.78 % (17081)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 theBenchmark for (2996ds/51Mi)
% 0.57/0.78 % (17085)Refutation not found, incomplete strategy% (17085)------------------------------
% 0.57/0.78 % (17085)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.78 % (17085)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.78
% 0.57/0.78 % (17085)Memory used [KB]: 1076
% 0.57/0.78 % (17085)Time elapsed: 0.003 s
% 0.57/0.78 % (17085)Instructions burned: 4 (million)
% 0.57/0.78 % (17087)Refutation not found, incomplete strategy% (17087)------------------------------
% 0.57/0.78 % (17087)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.78 % (17087)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.78
% 0.57/0.78 % (17085)------------------------------
% 0.57/0.78 % (17085)------------------------------
% 0.57/0.78 % (17087)Memory used [KB]: 1076
% 0.57/0.78 % (17087)Time elapsed: 0.003 s
% 0.57/0.78 % (17087)Instructions burned: 3 (million)
% 0.57/0.78 % (17087)------------------------------
% 0.57/0.78 % (17087)------------------------------
% 0.57/0.79 % (17080)Refutation not found, incomplete strategy% (17080)------------------------------
% 0.57/0.79 % (17080)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.79 % (17080)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.79
% 0.57/0.79 % (17080)Memory used [KB]: 1097
% 0.57/0.79 % (17080)Time elapsed: 0.005 s
% 0.57/0.79 % (17080)Instructions burned: 6 (million)
% 0.57/0.79 % (17080)------------------------------
% 0.57/0.79 % (17080)------------------------------
% 0.57/0.79 % (17084)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 theBenchmark for (2996ds/34Mi)
% 0.62/0.79 % (17089)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 theBenchmark for (2995ds/50Mi)
% 0.62/0.79 % (17083)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.62/0.79 % (17089)Refutation not found, incomplete strategy% (17089)------------------------------
% 0.62/0.79 % (17089)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.79 % (17089)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.79
% 0.62/0.79 % (17089)Memory used [KB]: 1062
% 0.62/0.79 % (17089)Time elapsed: 0.004 s
% 0.62/0.79 % (17089)Instructions burned: 4 (million)
% 0.62/0.79 % (17089)------------------------------
% 0.62/0.79 % (17089)------------------------------
% 0.62/0.79 % (17088)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 theBenchmark for (2995ds/55Mi)
% 0.62/0.79 % (17090)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2995ds/208Mi)
% 0.62/0.80 % (17084)Instruction limit reached!
% 0.62/0.80 % (17084)------------------------------
% 0.62/0.80 % (17084)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.80 % (17084)Termination reason: Unknown
% 0.62/0.80 % (17084)Termination phase: Saturation
% 0.62/0.80
% 0.62/0.80 % (17084)Memory used [KB]: 1245
% 0.62/0.80 % (17084)Time elapsed: 0.013 s
% 0.62/0.80 % (17084)Instructions burned: 36 (million)
% 0.62/0.80 % (17084)------------------------------
% 0.62/0.80 % (17084)------------------------------
% 0.62/0.80 % (17092)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 theBenchmark for (2995ds/518Mi)
% 0.62/0.80 % (17083)Instruction limit reached!
% 0.62/0.80 % (17083)------------------------------
% 0.62/0.80 % (17083)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.80 % (17083)Termination reason: Unknown
% 0.62/0.80 % (17083)Termination phase: Saturation
% 0.62/0.80
% 0.62/0.80 % (17083)Memory used [KB]: 1550
% 0.62/0.80 % (17083)Time elapsed: 0.019 s
% 0.62/0.80 % (17083)Instructions burned: 34 (million)
% 0.62/0.80 % (17083)------------------------------
% 0.62/0.80 % (17083)------------------------------
% 0.62/0.81 % (17091)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 theBenchmark for (2995ds/52Mi)
% 0.62/0.81 % (17092)First to succeed.
% 0.62/0.81 % (17092)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-17079"
% 0.62/0.81 % (17092)Refutation found. Thanks to Tanya!
% 0.62/0.81 % SZS status Theorem for theBenchmark
% 0.62/0.81 % SZS output start Proof for theBenchmark
% See solution above
% 0.62/0.82 % (17092)------------------------------
% 0.62/0.82 % (17092)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.82 % (17092)Termination reason: Refutation
% 0.62/0.82
% 0.62/0.82 % (17092)Memory used [KB]: 1190
% 0.62/0.82 % (17092)Time elapsed: 0.012 s
% 0.62/0.82 % (17092)Instructions burned: 32 (million)
% 0.62/0.82 % (17079)Success in time 0.429 s
% 0.62/0.82 % Vampire---4.8 exiting
%------------------------------------------------------------------------------