TSTP Solution File: SET825-2 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET825-2 : TPTP v8.1.2. Released v3.2.0.
% 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 : n028.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 03:49:07 EDT 2024
% Result : Unsatisfiable 0.57s 0.76s
% Output : Refutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 10
% Syntax : Number of formulae : 27 ( 7 unt; 0 def)
% Number of atoms : 55 ( 5 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 50 ( 22 ~; 24 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 5 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-4 aty)
% Number of variables : 7 ( 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f38,plain,
$false,
inference(avatar_sat_refutation,[],[f21,f23,f30,f35,f37]) ).
fof(f37,plain,
spl0_4,
inference(avatar_contradiction_clause,[],[f36]) ).
fof(f36,plain,
( $false
| spl0_4 ),
inference(resolution,[],[f29,f1]) ).
fof(f1,axiom,
! [X0,X1] : c_in(c_Pair(X0,X0,X1,X1),c_Relation_OId,tc_prod(X1,X1)),
file('/export/starexec/sandbox/tmp/tmp.JppYGYjPrW/Vampire---4.8_21614',cls_Relation_OIdI_0) ).
fof(f29,plain,
( ~ c_in(c_Pair(c_Suc(v_x(c_Relation_OId)),c_Suc(v_x(c_Relation_OId)),tc_nat,tc_nat),c_Relation_OId,tc_prod(tc_nat,tc_nat))
| spl0_4 ),
inference(avatar_component_clause,[],[f27]) ).
fof(f27,plain,
( spl0_4
<=> c_in(c_Pair(c_Suc(v_x(c_Relation_OId)),c_Suc(v_x(c_Relation_OId)),tc_nat,tc_nat),c_Relation_OId,tc_prod(tc_nat,tc_nat)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f35,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f34]) ).
fof(f34,plain,
( $false
| ~ spl0_1 ),
inference(resolution,[],[f33,f3]) ).
fof(f3,axiom,
v_Q(v_n),
file('/export/starexec/sandbox/tmp/tmp.JppYGYjPrW/Vampire---4.8_21614',cls_conjecture_0) ).
fof(f33,plain,
( ~ v_Q(v_n)
| ~ spl0_1 ),
inference(superposition,[],[f4,f31]) ).
fof(f31,plain,
( v_n = v_m
| ~ spl0_1 ),
inference(resolution,[],[f12,f2]) ).
fof(f2,axiom,
! [X2,X0,X1] :
( ~ c_in(c_Pair(X0,X2,X1,X1),c_Relation_OId,tc_prod(X1,X1))
| X0 = X2 ),
file('/export/starexec/sandbox/tmp/tmp.JppYGYjPrW/Vampire---4.8_21614',cls_Relation_Opair__in__Id__conv__iff1_0) ).
fof(f12,plain,
( c_in(c_Pair(v_n,v_m,tc_nat,tc_nat),c_Relation_OId,tc_prod(tc_nat,tc_nat))
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f10]) ).
fof(f10,plain,
( spl0_1
<=> c_in(c_Pair(v_n,v_m,tc_nat,tc_nat),c_Relation_OId,tc_prod(tc_nat,tc_nat)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f4,axiom,
~ v_Q(v_m),
file('/export/starexec/sandbox/tmp/tmp.JppYGYjPrW/Vampire---4.8_21614',cls_conjecture_1) ).
fof(f30,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f24,f18,f27,f14,f10]) ).
fof(f14,plain,
( spl0_2
<=> c_in(c_Pair(c_0,c_0,tc_nat,tc_nat),c_Relation_OId,tc_prod(tc_nat,tc_nat)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f18,plain,
( spl0_3
<=> v_x(c_Relation_OId) = v_xa(c_Relation_OId) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f24,plain,
( ~ c_in(c_Pair(c_Suc(v_x(c_Relation_OId)),c_Suc(v_x(c_Relation_OId)),tc_nat,tc_nat),c_Relation_OId,tc_prod(tc_nat,tc_nat))
| ~ c_in(c_Pair(c_0,c_0,tc_nat,tc_nat),c_Relation_OId,tc_prod(tc_nat,tc_nat))
| c_in(c_Pair(v_n,v_m,tc_nat,tc_nat),c_Relation_OId,tc_prod(tc_nat,tc_nat))
| ~ spl0_3 ),
inference(superposition,[],[f6,f20]) ).
fof(f20,plain,
( v_x(c_Relation_OId) = v_xa(c_Relation_OId)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f18]) ).
fof(f6,axiom,
! [X3] :
( ~ c_in(c_Pair(c_Suc(v_x(X3)),c_Suc(v_xa(X3)),tc_nat,tc_nat),X3,tc_prod(tc_nat,tc_nat))
| ~ c_in(c_Pair(c_0,c_0,tc_nat,tc_nat),X3,tc_prod(tc_nat,tc_nat))
| c_in(c_Pair(v_n,v_m,tc_nat,tc_nat),X3,tc_prod(tc_nat,tc_nat)) ),
file('/export/starexec/sandbox/tmp/tmp.JppYGYjPrW/Vampire---4.8_21614',cls_conjecture_3) ).
fof(f23,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f22]) ).
fof(f22,plain,
( $false
| spl0_2 ),
inference(resolution,[],[f16,f1]) ).
fof(f16,plain,
( ~ c_in(c_Pair(c_0,c_0,tc_nat,tc_nat),c_Relation_OId,tc_prod(tc_nat,tc_nat))
| spl0_2 ),
inference(avatar_component_clause,[],[f14]) ).
fof(f21,plain,
( spl0_1
| ~ spl0_2
| spl0_3 ),
inference(avatar_split_clause,[],[f8,f18,f14,f10]) ).
fof(f8,plain,
( v_x(c_Relation_OId) = v_xa(c_Relation_OId)
| ~ c_in(c_Pair(c_0,c_0,tc_nat,tc_nat),c_Relation_OId,tc_prod(tc_nat,tc_nat))
| c_in(c_Pair(v_n,v_m,tc_nat,tc_nat),c_Relation_OId,tc_prod(tc_nat,tc_nat)) ),
inference(resolution,[],[f2,f5]) ).
fof(f5,axiom,
! [X3] :
( c_in(c_Pair(v_x(X3),v_xa(X3),tc_nat,tc_nat),X3,tc_prod(tc_nat,tc_nat))
| ~ c_in(c_Pair(c_0,c_0,tc_nat,tc_nat),X3,tc_prod(tc_nat,tc_nat))
| c_in(c_Pair(v_n,v_m,tc_nat,tc_nat),X3,tc_prod(tc_nat,tc_nat)) ),
file('/export/starexec/sandbox/tmp/tmp.JppYGYjPrW/Vampire---4.8_21614',cls_conjecture_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET825-2 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.15 % 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
% 0.16/0.36 % Computer : n028.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Tue Apr 30 17:34:45 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.16/0.36 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.16/0.36 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.JppYGYjPrW/Vampire---4.8_21614
% 0.57/0.75 % (21881)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)
% 0.57/0.75 % (21881)Refutation not found, incomplete strategy% (21881)------------------------------
% 0.57/0.75 % (21881)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.75 % (21881)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75
% 0.57/0.75 % (21881)Memory used [KB]: 949
% 0.57/0.75 % (21881)Time elapsed: 0.002 s
% 0.57/0.75 % (21881)Instructions burned: 2 (million)
% 0.57/0.75 % (21881)------------------------------
% 0.57/0.75 % (21881)------------------------------
% 0.57/0.75 % (21875)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)
% 0.57/0.75 % (21878)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)
% 0.57/0.75 % (21876)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)
% 0.57/0.75 % (21880)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)
% 0.57/0.75 % (21877)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.75 % (21875)Refutation not found, incomplete strategy% (21875)------------------------------
% 0.57/0.75 % (21875)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.75 % (21882)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)
% 0.57/0.75 % (21875)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75
% 0.57/0.75 % (21875)Memory used [KB]: 949
% 0.57/0.75 % (21875)Time elapsed: 0.002 s
% 0.57/0.75 % (21875)Instructions burned: 2 (million)
% 0.57/0.75 % (21875)------------------------------
% 0.57/0.75 % (21875)------------------------------
% 0.57/0.75 % (21878)Refutation not found, incomplete strategy% (21878)------------------------------
% 0.57/0.75 % (21878)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.75 % (21878)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75
% 0.57/0.75 % (21878)Memory used [KB]: 949
% 0.57/0.75 % (21880)Refutation not found, incomplete strategy% (21880)------------------------------
% 0.57/0.75 % (21880)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.75 % (21878)Time elapsed: 0.002 s
% 0.57/0.75 % (21880)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75
% 0.57/0.75 % (21878)Instructions burned: 2 (million)
% 0.57/0.75 % (21878)------------------------------
% 0.57/0.75 % (21878)------------------------------
% 0.57/0.75 % (21880)Memory used [KB]: 948
% 0.57/0.75 % (21880)Time elapsed: 0.002 s
% 0.57/0.75 % (21880)Instructions burned: 2 (million)
% 0.57/0.75 % (21880)------------------------------
% 0.57/0.75 % (21880)------------------------------
% 0.57/0.75 % (21882)Refutation not found, incomplete strategy% (21882)------------------------------
% 0.57/0.75 % (21882)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.75 % (21882)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75
% 0.57/0.75 % (21882)Memory used [KB]: 948
% 0.57/0.75 % (21882)Time elapsed: 0.003 s
% 0.57/0.75 % (21882)Instructions burned: 2 (million)
% 0.57/0.75 % (21882)------------------------------
% 0.57/0.75 % (21882)------------------------------
% 0.57/0.75 % (21879)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)
% 0.57/0.75 % (21876)First to succeed.
% 0.57/0.75 % (21879)Refutation not found, incomplete strategy% (21879)------------------------------
% 0.57/0.75 % (21879)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.75 % (21879)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75
% 0.57/0.75 % (21879)Memory used [KB]: 954
% 0.57/0.75 % (21879)Time elapsed: 0.002 s
% 0.57/0.75 % (21879)Instructions burned: 2 (million)
% 0.57/0.75 % (21879)------------------------------
% 0.57/0.75 % (21879)------------------------------
% 0.57/0.76 % (21877)Also succeeded, but the first one will report.
% 0.57/0.76 % (21883)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 (2996ds/55Mi)
% 0.57/0.76 % (21876)Refutation found. Thanks to Tanya!
% 0.57/0.76 % SZS status Unsatisfiable for Vampire---4
% 0.57/0.76 % SZS output start Proof for Vampire---4
% See solution above
% 0.57/0.76 % (21876)------------------------------
% 0.57/0.76 % (21876)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.76 % (21876)Termination reason: Refutation
% 0.57/0.76
% 0.57/0.76 % (21876)Memory used [KB]: 998
% 0.57/0.76 % (21876)Time elapsed: 0.005 s
% 0.57/0.76 % (21876)Instructions burned: 4 (million)
% 0.57/0.76 % (21876)------------------------------
% 0.57/0.76 % (21876)------------------------------
% 0.57/0.76 % (21871)Success in time 0.386 s
% 0.57/0.76 % Vampire---4.8 exiting
%------------------------------------------------------------------------------