TSTP Solution File: NUM021-1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM021-1 : TPTP v8.1.2. Bugfixed v4.0.0.
% 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 : 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 : Sun May 5 08:07:17 EDT 2024
% Result : Unsatisfiable 0.52s 0.72s
% Output : Refutation 0.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 11
% Syntax : Number of formulae : 26 ( 10 unt; 0 def)
% Number of atoms : 47 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 44 ( 23 ~; 19 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 20 ( 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f134,plain,
$false,
inference(avatar_sat_refutation,[],[f29,f99,f133]) ).
fof(f133,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f132]) ).
fof(f132,plain,
( $false
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f130,f87]) ).
fof(f87,plain,
! [X0] : ~ equalish(a,add(successor(X0),b)),
inference(resolution,[],[f48,f14]) ).
fof(f14,axiom,
! [X3,X4] :
( equalish(X4,X3)
| ~ equalish(X3,X4) ),
file('/export/starexec/sandbox/tmp/tmp.hlcPez6TTH/Vampire---4.8_15008',symmetry) ).
fof(f48,plain,
! [X0] : ~ equalish(add(successor(X0),b),a),
inference(resolution,[],[f17,f8]) ).
fof(f8,axiom,
! [X2,X0,X1] :
( less(X1,X2)
| ~ equalish(add(successor(X0),X1),X2) ),
file('/export/starexec/sandbox/tmp/tmp.hlcPez6TTH/Vampire---4.8_15008',smaller_number) ).
fof(f17,axiom,
~ less(b,a),
file('/export/starexec/sandbox/tmp/tmp.hlcPez6TTH/Vampire---4.8_15008',b_greater_equal_a) ).
fof(f130,plain,
( equalish(a,add(successor(predecessor_of_1st_minus_2nd(c,b)),b))
| ~ spl0_2 ),
inference(resolution,[],[f52,f40]) ).
fof(f40,plain,
equalish(add(successor(predecessor_of_1st_minus_2nd(c,b)),b),c),
inference(resolution,[],[f16,f9]) ).
fof(f9,axiom,
! [X0,X1] :
( equalish(add(successor(predecessor_of_1st_minus_2nd(X1,X0)),X0),X1)
| ~ less(X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.hlcPez6TTH/Vampire---4.8_15008',less_lemma) ).
fof(f16,axiom,
less(b,c),
file('/export/starexec/sandbox/tmp/tmp.hlcPez6TTH/Vampire---4.8_15008',b_less_than_c) ).
fof(f52,plain,
( ! [X0] :
( ~ equalish(X0,c)
| equalish(a,X0) )
| ~ spl0_2 ),
inference(resolution,[],[f35,f14]) ).
fof(f35,plain,
( ! [X0] :
( equalish(X0,a)
| ~ equalish(X0,c) )
| ~ spl0_2 ),
inference(resolution,[],[f28,f15]) ).
fof(f15,axiom,
! [X3,X4,X5] :
( equalish(X3,X5)
| ~ equalish(X4,X5)
| ~ equalish(X3,X4) ),
file('/export/starexec/sandbox/tmp/tmp.hlcPez6TTH/Vampire---4.8_15008',transitivity) ).
fof(f28,plain,
( equalish(c,a)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f26]) ).
fof(f26,plain,
( spl0_2
<=> equalish(c,a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f99,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f94,f22]) ).
fof(f22,plain,
( spl0_1
<=> less(c,a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f94,plain,
~ less(c,a),
inference(resolution,[],[f49,f16]) ).
fof(f49,plain,
! [X0] :
( ~ less(b,X0)
| ~ less(X0,a) ),
inference(resolution,[],[f17,f7]) ).
fof(f7,axiom,
! [X2,X0,X1] :
( less(X2,X1)
| ~ less(X2,X0)
| ~ less(X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.hlcPez6TTH/Vampire---4.8_15008',transitivity_of_less) ).
fof(f29,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f20,f26,f22]) ).
fof(f20,plain,
( equalish(c,a)
| less(c,a) ),
inference(resolution,[],[f18,f10]) ).
fof(f10,axiom,
! [X0,X1] :
( equalish(X0,X1)
| less(X0,X1)
| ~ divides(X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.hlcPez6TTH/Vampire---4.8_15008',divides_only_less_or_equal) ).
fof(f18,axiom,
divides(c,a),
file('/export/starexec/sandbox/tmp/tmp.hlcPez6TTH/Vampire---4.8_15008',impossible_c_divides_a) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.09 % Problem : NUM021-1 : TPTP v8.1.2. Bugfixed v4.0.0.
% 0.08/0.10 % 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
% 0.10/0.30 % Computer : n012.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Fri May 3 14:19:37 EDT 2024
% 0.10/0.30 % CPUTime :
% 0.10/0.30 This is a CNF_UNS_RFO_NEQ_NHN problem
% 0.10/0.30 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.hlcPez6TTH/Vampire---4.8_15008
% 0.52/0.71 % (15118)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.52/0.71 % (15117)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 (2995ds/51Mi)
% 0.52/0.71 % (15119)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.52/0.71 % (15122)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 (2995ds/83Mi)
% 0.52/0.71 % (15120)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 (2995ds/34Mi)
% 0.52/0.71 % (15121)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.52/0.71 % (15116)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 (2995ds/34Mi)
% 0.52/0.71 % (15123)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 (2995ds/56Mi)
% 0.52/0.71 % (15120)First to succeed.
% 0.52/0.72 % (15120)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-15115"
% 0.52/0.72 % (15118)Also succeeded, but the first one will report.
% 0.52/0.72 % (15120)Refutation found. Thanks to Tanya!
% 0.52/0.72 % SZS status Unsatisfiable for Vampire---4
% 0.52/0.72 % SZS output start Proof for Vampire---4
% See solution above
% 0.52/0.72 % (15120)------------------------------
% 0.52/0.72 % (15120)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.52/0.72 % (15120)Termination reason: Refutation
% 0.52/0.72
% 0.52/0.72 % (15120)Memory used [KB]: 1078
% 0.52/0.72 % (15120)Time elapsed: 0.005 s
% 0.52/0.72 % (15120)Instructions burned: 5 (million)
% 0.52/0.72 % (15115)Success in time 0.407 s
% 0.52/0.72 % Vampire---4.8 exiting
%------------------------------------------------------------------------------