TSTP Solution File: SET027+3 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET027+3 : TPTP v8.1.2. Released v2.2.0.
% 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 : n022.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 03:44:18 EDT 2024
% Result : Theorem 0.57s 0.77s
% Output : Refutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 4
% Syntax : Number of formulae : 25 ( 5 unt; 0 def)
% Number of atoms : 77 ( 0 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 86 ( 34 ~; 25 |; 20 &)
% ( 2 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 56 ( 44 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f34,plain,
$false,
inference(subsumption_resolution,[],[f31,f15]) ).
fof(f15,plain,
subset(sK1,sK2),
inference(cnf_transformation,[],[f9]) ).
fof(f9,plain,
( ~ subset(sK0,sK2)
& subset(sK1,sK2)
& subset(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f6,f8]) ).
fof(f8,plain,
( ? [X0,X1,X2] :
( ~ subset(X0,X2)
& subset(X1,X2)
& subset(X0,X1) )
=> ( ~ subset(sK0,sK2)
& subset(sK1,sK2)
& subset(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f6,plain,
? [X0,X1,X2] :
( ~ subset(X0,X2)
& subset(X1,X2)
& subset(X0,X1) ),
inference(flattening,[],[f5]) ).
fof(f5,plain,
? [X0,X1,X2] :
( ~ subset(X0,X2)
& subset(X1,X2)
& subset(X0,X1) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,negated_conjecture,
~ ! [X0,X1,X2] :
( ( subset(X1,X2)
& subset(X0,X1) )
=> subset(X0,X2) ),
inference(negated_conjecture,[],[f3]) ).
fof(f3,conjecture,
! [X0,X1,X2] :
( ( subset(X1,X2)
& subset(X0,X1) )
=> subset(X0,X2) ),
file('/export/starexec/sandbox/tmp/tmp.gLa7nqyT7J/Vampire---4.8_4162',prove_transitivity_of_subset) ).
fof(f31,plain,
~ subset(sK1,sK2),
inference(resolution,[],[f30,f14]) ).
fof(f14,plain,
subset(sK0,sK1),
inference(cnf_transformation,[],[f9]) ).
fof(f30,plain,
! [X0] :
( ~ subset(sK0,X0)
| ~ subset(X0,sK2) ),
inference(resolution,[],[f29,f16]) ).
fof(f16,plain,
~ subset(sK0,sK2),
inference(cnf_transformation,[],[f9]) ).
fof(f29,plain,
! [X2,X0,X1] :
( subset(X0,X1)
| ~ subset(X2,X1)
| ~ subset(X0,X2) ),
inference(duplicate_literal_removal,[],[f27]) ).
fof(f27,plain,
! [X2,X0,X1] :
( subset(X0,X1)
| ~ subset(X2,X1)
| ~ subset(X0,X2)
| subset(X0,X1) ),
inference(resolution,[],[f25,f19]) ).
fof(f19,plain,
! [X0,X1] :
( member(sK3(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f13]) ).
fof(f13,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ member(sK3(X0,X1),X1)
& member(sK3(X0,X1),X0) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f11,f12]) ).
fof(f12,plain,
! [X0,X1] :
( ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) )
=> ( ~ member(sK3(X0,X1),X1)
& member(sK3(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f11,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(rectify,[],[f10]) ).
fof(f10,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) ) )
& ( ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) )
| ~ subset(X0,X1) ) ),
inference(nnf_transformation,[],[f7]) ).
fof(f7,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X0)
=> member(X2,X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.gLa7nqyT7J/Vampire---4.8_4162',subset_defn) ).
fof(f25,plain,
! [X2,X3,X0,X1] :
( ~ member(sK3(X2,X1),X3)
| subset(X2,X1)
| ~ subset(X0,X1)
| ~ subset(X3,X0) ),
inference(resolution,[],[f23,f18]) ).
fof(f18,plain,
! [X3,X0,X1] :
( member(X3,X1)
| ~ member(X3,X0)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f13]) ).
fof(f23,plain,
! [X2,X0,X1] :
( ~ member(sK3(X0,X1),X2)
| ~ subset(X2,X1)
| subset(X0,X1) ),
inference(resolution,[],[f18,f20]) ).
fof(f20,plain,
! [X0,X1] :
( ~ member(sK3(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET027+3 : TPTP v8.1.2. Released v2.2.0.
% 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
% 0.16/0.37 % Computer : n022.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Tue Apr 30 17:10:43 EDT 2024
% 0.16/0.37 % CPUTime :
% 0.16/0.37 This is a FOF_THM_RFO_NEQ problem
% 0.16/0.37 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.gLa7nqyT7J/Vampire---4.8_4162
% 0.57/0.77 % (4575)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)
% 0.57/0.77 % (4575)Refutation not found, incomplete strategy% (4575)------------------------------
% 0.57/0.77 % (4575)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.77 % (4575)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.77
% 0.57/0.77 % (4575)Memory used [KB]: 947
% 0.57/0.77 % (4575)Time elapsed: 0.001 s
% 0.57/0.77 % (4575)Instructions burned: 2 (million)
% 0.57/0.77 % (4575)------------------------------
% 0.57/0.77 % (4575)------------------------------
% 0.57/0.77 % (4568)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)
% 0.57/0.77 % (4570)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.77 % (4572)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)
% 0.57/0.77 % (4573)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)
% 0.57/0.77 % (4574)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)
% 0.57/0.77 % (4571)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)
% 0.57/0.77 % (4569)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)
% 0.57/0.77 % (4573)Refutation not found, incomplete strategy% (4573)------------------------------
% 0.57/0.77 % (4573)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.77 % (4573)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.77
% 0.57/0.77 % (4573)Memory used [KB]: 947
% 0.57/0.77 % (4572)Refutation not found, incomplete strategy% (4572)------------------------------
% 0.57/0.77 % (4572)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.77 % (4572)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.77
% 0.57/0.77 % (4572)Memory used [KB]: 950
% 0.57/0.77 % (4572)Time elapsed: 0.002 s
% 0.57/0.77 % (4572)Instructions burned: 2 (million)
% 0.57/0.77 % (4572)------------------------------
% 0.57/0.77 % (4572)------------------------------
% 0.57/0.77 % (4573)Time elapsed: 0.002 s
% 0.57/0.77 % (4571)Refutation not found, incomplete strategy% (4571)------------------------------
% 0.57/0.77 % (4571)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.77 % (4571)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.77
% 0.57/0.77 % (4571)Memory used [KB]: 947
% 0.57/0.77 % (4571)Time elapsed: 0.002 s
% 0.57/0.77 % (4571)Instructions burned: 2 (million)
% 0.57/0.77 % (4571)------------------------------
% 0.57/0.77 % (4571)------------------------------
% 0.57/0.77 % (4573)Instructions burned: 2 (million)
% 0.57/0.77 % (4574)Refutation not found, incomplete strategy% (4574)------------------------------
% 0.57/0.77 % (4574)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.77 % (4573)------------------------------
% 0.57/0.77 % (4573)------------------------------
% 0.57/0.77 % (4574)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.77
% 0.57/0.77 % (4574)Memory used [KB]: 946
% 0.57/0.77 % (4574)Time elapsed: 0.002 s
% 0.57/0.77 % (4568)First to succeed.
% 0.57/0.77 % (4574)Instructions burned: 2 (million)
% 0.57/0.77 % (4574)------------------------------
% 0.57/0.77 % (4574)------------------------------
% 0.57/0.77 % (4570)Also succeeded, but the first one will report.
% 0.57/0.77 % (4578)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)
% 0.57/0.77 % (4569)Also succeeded, but the first one will report.
% 0.57/0.77 % (4568)Refutation found. Thanks to Tanya!
% 0.57/0.77 % SZS status Theorem for Vampire---4
% 0.57/0.77 % SZS output start Proof for Vampire---4
% See solution above
% 0.57/0.77 % (4568)------------------------------
% 0.57/0.77 % (4568)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.77 % (4568)Termination reason: Refutation
% 0.57/0.77
% 0.57/0.77 % (4568)Memory used [KB]: 974
% 0.57/0.77 % (4568)Time elapsed: 0.003 s
% 0.57/0.77 % (4568)Instructions burned: 3 (million)
% 0.57/0.77 % (4568)------------------------------
% 0.57/0.77 % (4568)------------------------------
% 0.57/0.77 % (4414)Success in time 0.392 s
% 0.57/0.77 % Vampire---4.8 exiting
%------------------------------------------------------------------------------