TSTP Solution File: NUM900_1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM900_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 : n011.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 03:35:10 EDT 2024
% Result : Theorem 0.59s 0.82s
% Output : Refutation 0.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 12
% Syntax : Number of formulae : 37 ( 14 unt; 3 typ; 0 def)
% Number of atoms : 61 ( 14 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 48 ( 21 ~; 15 |; 7 &)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 103 ( 33 atm; 25 fun; 12 num; 33 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 2 usr; 3 prp; 0-2 aty)
% Number of functors : 7 ( 3 usr; 4 con; 0-2 aty)
% Number of variables : 33 ( 27 !; 6 ?; 33 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_5,type,
sK0: $int ).
tff(func_def_6,type,
sK1: $int ).
tff(func_def_7,type,
sK2: $int ).
tff(f224,plain,
$false,
inference(avatar_sat_refutation,[],[f37,f178,f223]) ).
tff(f223,plain,
~ spl3_1,
inference(avatar_contradiction_clause,[],[f222]) ).
tff(f222,plain,
( $false
| ~ spl3_1 ),
inference(subsumption_resolution,[],[f211,f9]) ).
tff(f9,plain,
! [X0: $int] : ~ $less(X0,X0),
introduced(theory_axiom_142,[]) ).
tff(f211,plain,
( ! [X0: $int] : $less(X0,X0)
| ~ spl3_1 ),
inference(evaluation,[],[f202]) ).
tff(f202,plain,
( ! [X0: $int] : $less(X0,$sum(X0,0))
| ~ spl3_1 ),
inference(superposition,[],[f57,f183]) ).
tff(f183,plain,
( ( 0 = sK2 )
| ~ spl3_1 ),
inference(forward_demodulation,[],[f181,f8]) ).
tff(f8,plain,
! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) ),
introduced(theory_axiom_140,[]) ).
tff(f181,plain,
( ( sK2 = $sum(sK0,$uminus(sK0)) )
| ~ spl3_1 ),
inference(superposition,[],[f18,f31]) ).
tff(f31,plain,
( ( sK0 = sK1 )
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f29]) ).
tff(f29,plain,
( spl3_1
<=> ( sK0 = sK1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
tff(f18,plain,
sK2 = $sum(sK0,$uminus(sK1)),
inference(cnf_transformation,[],[f17]) ).
tff(f17,plain,
? [X0: $int,X1: $int,X2: $int] :
( ~ $less(X1,X0)
& $less(0,X2)
& ( $sum(X0,$uminus(X1)) = X2 ) ),
inference(flattening,[],[f16]) ).
tff(f16,plain,
? [X0: $int,X1: $int,X2: $int] :
( ~ $less(X1,X0)
& $less(0,X2)
& ( $sum(X0,$uminus(X1)) = X2 ) ),
inference(ennf_transformation,[],[f3]) ).
tff(f3,plain,
~ ! [X0: $int,X1: $int,X2: $int] :
( ( $less(0,X2)
& ( $sum(X0,$uminus(X1)) = X2 ) )
=> $less(X1,X0) ),
inference(theory_normalization,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X0: $int,X1: $int,X2: $int] :
( ( $less(0,X2)
& ( $difference(X0,X1) = X2 ) )
=> $less(X1,X0) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X0: $int,X1: $int,X2: $int] :
( ( $less(0,X2)
& ( $difference(X0,X1) = X2 ) )
=> $less(X1,X0) ),
file('/export/starexec/sandbox/tmp/tmp.3xp5mrEC6X/Vampire---4.8_31910',difference_greater) ).
tff(f57,plain,
! [X0: $int] : $less(X0,$sum(X0,sK2)),
inference(superposition,[],[f25,f4]) ).
tff(f4,plain,
! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_135,[]) ).
tff(f25,plain,
! [X0: $int] : $less(X0,$sum(sK2,X0)),
inference(evaluation,[],[f21]) ).
tff(f21,plain,
! [X0: $int] : $less($sum(0,X0),$sum(sK2,X0)),
inference(unit_resulting_resolution,[],[f19,f12]) ).
tff(f12,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less($sum(X0,X2),$sum(X1,X2))
| ~ $less(X0,X1) ),
introduced(theory_axiom_145,[]) ).
tff(f19,plain,
$less(0,sK2),
inference(cnf_transformation,[],[f17]) ).
tff(f178,plain,
~ spl3_2,
inference(avatar_split_clause,[],[f175,f33]) ).
tff(f33,plain,
( spl3_2
<=> $less(sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
tff(f175,plain,
~ $less(sK0,sK1),
inference(subsumption_resolution,[],[f163,f23]) ).
tff(f23,plain,
~ $less(sK2,0),
inference(unit_resulting_resolution,[],[f9,f19,f10]) ).
tff(f10,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X1,X2)
| ~ $less(X0,X1)
| $less(X0,X2) ),
introduced(theory_axiom_143,[]) ).
tff(f163,plain,
( $less(sK2,0)
| ~ $less(sK0,sK1) ),
inference(superposition,[],[f41,f8]) ).
tff(f41,plain,
! [X0: $int] :
( $less(sK2,$sum(X0,$uminus(sK1)))
| ~ $less(sK0,X0) ),
inference(superposition,[],[f12,f18]) ).
tff(f37,plain,
( spl3_1
| spl3_2 ),
inference(avatar_split_clause,[],[f27,f33,f29]) ).
tff(f27,plain,
( $less(sK0,sK1)
| ( sK0 = sK1 ) ),
inference(resolution,[],[f20,f11]) ).
tff(f11,plain,
! [X0: $int,X1: $int] :
( $less(X0,X1)
| $less(X1,X0)
| ( X0 = X1 ) ),
introduced(theory_axiom_144,[]) ).
tff(f20,plain,
~ $less(sK1,sK0),
inference(cnf_transformation,[],[f17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : NUM900_1 : TPTP v8.1.2. Released v5.0.0.
% 0.12/0.13 % 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
% 0.13/0.33 % Computer : n011.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Apr 30 16:54:46 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.34 This is a TF0_THM_EQU_ARI problem
% 0.13/0.34 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.3xp5mrEC6X/Vampire---4.8_31910
% 0.59/0.81 % (32021)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)
% 0.59/0.81 % (32022)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)
% 0.59/0.81 % (32024)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)
% 0.59/0.81 % (32025)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)
% 0.59/0.81 % (32023)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.59/0.81 % (32026)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)
% 0.59/0.81 % (32027)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)
% 0.59/0.81 % (32028)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)
% 0.59/0.82 % (32027)First to succeed.
% 0.59/0.82 % (32027)Refutation found. Thanks to Tanya!
% 0.59/0.82 % SZS status Theorem for Vampire---4
% 0.59/0.82 % SZS output start Proof for Vampire---4
% See solution above
% 0.59/0.82 % (32027)------------------------------
% 0.59/0.82 % (32027)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.82 % (32027)Termination reason: Refutation
% 0.59/0.82
% 0.59/0.82 % (32027)Memory used [KB]: 1071
% 0.59/0.82 % (32027)Time elapsed: 0.007 s
% 0.59/0.82 % (32027)Instructions burned: 9 (million)
% 0.59/0.82 % (32027)------------------------------
% 0.59/0.82 % (32027)------------------------------
% 0.59/0.82 % (32020)Success in time 0.477 s
% 0.59/0.82 % Vampire---4.8 exiting
%------------------------------------------------------------------------------