TSTP Solution File: DAT023_1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : DAT023_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 : n003.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 19:49:20 EDT 2024
% Result : Theorem 0.58s 0.77s
% Output : Refutation 0.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 17
% Syntax : Number of formulae : 60 ( 17 unt; 8 typ; 0 def)
% Number of atoms : 108 ( 18 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 97 ( 41 ~; 30 |; 11 &)
% ( 6 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number arithmetic : 122 ( 26 atm; 3 fun; 62 num; 31 var)
% Number of types : 3 ( 1 usr; 1 ari)
% Number of type conns : 6 ( 3 >; 3 *; 0 +; 0 <<)
% Number of predicates : 9 ( 5 usr; 5 prp; 0-2 aty)
% Number of functors : 11 ( 6 usr; 8 con; 0-2 aty)
% Number of variables : 50 ( 44 !; 6 ?; 50 :)
% 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_9,type,
sK0: collection ).
tff(func_def_10,type,
sK1: collection ).
tff(func_def_11,type,
sK2: $int ).
tff(pred_def_1,type,
in: ( $int * collection ) > $o ).
tff(f1305,plain,
$false,
inference(avatar_sat_refutation,[],[f49,f949,f1073,f1175,f1304]) ).
tff(f1304,plain,
~ spl3_1,
inference(avatar_contradiction_clause,[],[f1303]) ).
tff(f1303,plain,
( $false
| ~ spl3_1 ),
inference(subsumption_resolution,[],[f1263,f32]) ).
tff(f32,plain,
! [X0: $int,X1: collection] : ~ in(X0,remove(X0,X1)),
inference(cnf_transformation,[],[f22]) ).
tff(f22,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(f1263,plain,
( in(2,remove(2,sK1))
| ~ spl3_1 ),
inference(superposition,[],[f513,f43]) ).
tff(f43,plain,
( ( 2 = sK2 )
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f41]) ).
tff(f41,plain,
( spl3_1
<=> ( 2 = sK2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
tff(f513,plain,
in(sK2,remove(2,sK1)),
inference(unit_resulting_resolution,[],[f129,f30]) ).
tff(f30,plain,
! [X2: $int,X0: $int,X1: collection] :
( ~ in(X0,remove(X2,X1))
| in(X0,X1) ),
inference(cnf_transformation,[],[f21]) ).
tff(f21,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(f129,plain,
in(sK2,remove(1,remove(2,sK1))),
inference(unit_resulting_resolution,[],[f25,f126]) ).
tff(f126,plain,
! [X0: $int] :
( in(X0,remove(1,remove(2,sK1)))
| ~ in(X0,sK0) ),
inference(superposition,[],[f30,f28]) ).
tff(f28,plain,
sK0 = remove(4,remove(1,remove(2,sK1))),
inference(cnf_transformation,[],[f24]) ).
tff(f24,plain,
? [X0: collection,X1: collection] :
( ? [X3: $int] :
( ~ $less(2,X3)
& in(X3,X0) )
& ( remove(4,remove(1,remove(2,X1))) = X0 )
& ! [X2: $int] :
( $less(0,X2)
| ~ in(X2,X1) ) ),
inference(flattening,[],[f23]) ).
tff(f23,plain,
? [X0: collection,X1: collection] :
( ? [X3: $int] :
( ~ $less(2,X3)
& in(X3,X0) )
& ( remove(4,remove(1,remove(2,X1))) = X0 )
& ! [X2: $int] :
( $less(0,X2)
| ~ in(X2,X1) ) ),
inference(ennf_transformation,[],[f8]) ).
tff(f8,plain,
~ ! [X0: collection,X1: collection] :
( ( ( remove(4,remove(1,remove(2,X1))) = X0 )
& ! [X2: $int] :
( in(X2,X1)
=> $less(0,X2) ) )
=> ! [X3: $int] :
( in(X3,X0)
=> $less(2,X3) ) ),
inference(theory_normalization,[],[f7]) ).
tff(f7,negated_conjecture,
~ ! [X0: collection,X1: collection] :
( ( ( remove(4,remove(1,remove(2,X1))) = X0 )
& ! [X2: $int] :
( in(X2,X1)
=> $greater(X2,0) ) )
=> ! [X3: $int] :
( in(X3,X0)
=> $greater(X3,2) ) ),
inference(negated_conjecture,[],[f6]) ).
tff(f6,conjecture,
! [X0: collection,X1: collection] :
( ( ( remove(4,remove(1,remove(2,X1))) = X0 )
& ! [X2: $int] :
( in(X2,X1)
=> $greater(X2,0) ) )
=> ! [X3: $int] :
( in(X3,X0)
=> $greater(X3,2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
tff(f25,plain,
in(sK2,sK0),
inference(cnf_transformation,[],[f24]) ).
tff(f1175,plain,
( ~ spl3_2
| ~ spl3_8 ),
inference(avatar_split_clause,[],[f1172,f945,f45]) ).
tff(f45,plain,
( spl3_2
<=> $less(sK2,2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
tff(f945,plain,
( spl3_8
<=> $less(1,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_8])]) ).
tff(f1172,plain,
( ~ $less(sK2,2)
| ~ spl3_8 ),
inference(evaluation,[],[f1084]) ).
tff(f1084,plain,
( ~ $less(sK2,$sum(1,1))
| ~ spl3_8 ),
inference(unit_resulting_resolution,[],[f947,f20]) ).
tff(f20,plain,
! [X0: $int,X1: $int] :
( ~ $less(X1,$sum(X0,1))
| ~ $less(X0,X1) ),
introduced(theory_axiom_161,[]) ).
tff(f947,plain,
( $less(1,sK2)
| ~ spl3_8 ),
inference(avatar_component_clause,[],[f945]) ).
tff(f1073,plain,
( spl3_1
| ~ spl3_7 ),
inference(avatar_contradiction_clause,[],[f1072]) ).
tff(f1072,plain,
( $false
| spl3_1
| ~ spl3_7 ),
inference(subsumption_resolution,[],[f1019,f135]) ).
tff(f135,plain,
! [X0: $int] : ~ in(1,remove(X0,sK0)),
inference(unit_resulting_resolution,[],[f131,f30]) ).
tff(f131,plain,
~ in(1,sK0),
inference(unit_resulting_resolution,[],[f33,f126]) ).
tff(f33,plain,
! [X2: $int,X1: collection] : ~ in(X2,remove(X2,X1)),
inference(equality_resolution,[],[f31]) ).
tff(f31,plain,
! [X2: $int,X0: $int,X1: collection] :
( ~ in(X0,remove(X2,X1))
| ( X0 != X2 ) ),
inference(cnf_transformation,[],[f21]) ).
tff(f1019,plain,
( in(1,remove(2,sK0))
| spl3_1
| ~ spl3_7 ),
inference(superposition,[],[f414,f943]) ).
tff(f943,plain,
( ( 1 = sK2 )
| ~ spl3_7 ),
inference(avatar_component_clause,[],[f941]) ).
tff(f941,plain,
( spl3_7
<=> ( 1 = sK2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_7])]) ).
tff(f414,plain,
( in(sK2,remove(2,sK0))
| spl3_1 ),
inference(unit_resulting_resolution,[],[f25,f42,f29]) ).
tff(f29,plain,
! [X2: $int,X0: $int,X1: collection] :
( in(X0,remove(X2,X1))
| ~ in(X0,X1)
| ( X0 = X2 ) ),
inference(cnf_transformation,[],[f21]) ).
tff(f42,plain,
( ( 2 != sK2 )
| spl3_1 ),
inference(avatar_component_clause,[],[f41]) ).
tff(f949,plain,
( spl3_7
| spl3_8 ),
inference(avatar_split_clause,[],[f939,f945,f941]) ).
tff(f939,plain,
( $less(1,sK2)
| ( 1 = sK2 ) ),
inference(resolution,[],[f847,f16]) ).
tff(f16,plain,
! [X0: $int,X1: $int] :
( $less(X0,X1)
| $less(X1,X0)
| ( X0 = X1 ) ),
introduced(theory_axiom_144,[]) ).
tff(f847,plain,
~ $less(sK2,1),
inference(evaluation,[],[f758]) ).
tff(f758,plain,
~ $less(sK2,$sum(0,1)),
inference(unit_resulting_resolution,[],[f751,f20]) ).
tff(f751,plain,
$less(0,sK2),
inference(unit_resulting_resolution,[],[f745,f27]) ).
tff(f27,plain,
! [X2: $int] :
( ~ in(X2,sK1)
| $less(0,X2) ),
inference(cnf_transformation,[],[f24]) ).
tff(f745,plain,
in(sK2,sK1),
inference(unit_resulting_resolution,[],[f513,f30]) ).
tff(f49,plain,
( spl3_1
| spl3_2 ),
inference(avatar_split_clause,[],[f38,f45,f41]) ).
tff(f38,plain,
( $less(sK2,2)
| ( 2 = sK2 ) ),
inference(resolution,[],[f26,f16]) ).
tff(f26,plain,
~ $less(2,sK2),
inference(cnf_transformation,[],[f24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : DAT023_1 : TPTP v8.2.0. Released v5.0.0.
% 0.13/0.14 % 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
% 0.13/0.35 % Computer : n003.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sun May 19 23:43:08 EDT 2024
% 0.13/0.36 % CPUTime :
% 0.13/0.36 This is a TF0_THM_EQU_ARI problem
% 0.13/0.36 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/benchmark/theBenchmark.p
% 0.55/0.75 % (17083)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)
% 0.55/0.75 % (17076)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)
% 0.55/0.75 % (17078)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.55/0.75 % (17080)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)
% 0.55/0.75 % (17077)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)
% 0.55/0.75 % (17081)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)
% 0.55/0.75 % (17079)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)
% 0.55/0.75 % (17082)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)
% 0.58/0.76 % (17083)Instruction limit reached!
% 0.58/0.76 % (17083)------------------------------
% 0.58/0.76 % (17083)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.76 % (17083)Termination reason: Unknown
% 0.58/0.76 % (17083)Termination phase: Saturation
% 0.58/0.76
% 0.58/0.76 % (17083)Memory used [KB]: 1177
% 0.58/0.76 % (17083)Time elapsed: 0.018 s
% 0.58/0.76 % (17083)Instructions burned: 58 (million)
% 0.58/0.76 % (17083)------------------------------
% 0.58/0.76 % (17083)------------------------------
% 0.58/0.76 % (17080)Instruction limit reached!
% 0.58/0.76 % (17080)------------------------------
% 0.58/0.76 % (17080)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.76 % (17080)Termination reason: Unknown
% 0.58/0.76 % (17080)Termination phase: Saturation
% 0.58/0.76
% 0.58/0.76 % (17080)Memory used [KB]: 1129
% 0.58/0.76 % (17080)Time elapsed: 0.019 s
% 0.58/0.76 % (17080)Instructions burned: 34 (million)
% 0.58/0.77 % (17080)------------------------------
% 0.58/0.77 % (17080)------------------------------
% 0.58/0.77 % (17076)Instruction limit reached!
% 0.58/0.77 % (17076)------------------------------
% 0.58/0.77 % (17076)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.77 % (17084)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 (2996ds/55Mi)
% 0.58/0.77 % (17076)Termination reason: Unknown
% 0.58/0.77 % (17076)Termination phase: Saturation
% 0.58/0.77
% 0.58/0.77 % (17076)Memory used [KB]: 1142
% 0.58/0.77 % (17076)Time elapsed: 0.020 s
% 0.58/0.77 % (17076)Instructions burned: 34 (million)
% 0.58/0.77 % (17076)------------------------------
% 0.58/0.77 % (17076)------------------------------
% 0.58/0.77 % (17079)Instruction limit reached!
% 0.58/0.77 % (17079)------------------------------
% 0.58/0.77 % (17079)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.77 % (17079)Termination reason: Unknown
% 0.58/0.77 % (17079)Termination phase: Saturation
% 0.58/0.77
% 0.58/0.77 % (17079)Memory used [KB]: 1239
% 0.58/0.77 % (17079)Time elapsed: 0.021 s
% 0.58/0.77 % (17079)Instructions burned: 34 (million)
% 0.58/0.77 % (17079)------------------------------
% 0.58/0.77 % (17079)------------------------------
% 0.58/0.77 % (17082)First to succeed.
% 0.58/0.77 % (17085)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 (2996ds/50Mi)
% 0.58/0.77 % (17082)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-17075"
% 0.58/0.77 % (17086)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 (2996ds/208Mi)
% 0.58/0.77 % (17082)Refutation found. Thanks to Tanya!
% 0.58/0.77 % SZS status Theorem for theBenchmark
% 0.58/0.77 % SZS output start Proof for theBenchmark
% See solution above
% 0.58/0.77 % (17082)------------------------------
% 0.58/0.77 % (17082)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.77 % (17082)Termination reason: Refutation
% 0.58/0.77
% 0.58/0.77 % (17082)Memory used [KB]: 1368
% 0.58/0.77 % (17082)Time elapsed: 0.023 s
% 0.58/0.77 % (17082)Instructions burned: 36 (million)
% 0.58/0.77 % (17075)Success in time 0.396 s
% 0.58/0.77 % Vampire---4.8 exiting
%------------------------------------------------------------------------------