TSTP Solution File: LCL109-5 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : LCL109-5 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n026.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 07:33:16 EDT 2024
% Result : Unsatisfiable 0.49s 0.68s
% Output : Refutation 0.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 12
% Syntax : Number of formulae : 47 ( 11 unt; 0 def)
% Number of atoms : 99 ( 12 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 105 ( 53 ~; 49 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 4 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 50 ( 50 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f691,plain,
$false,
inference(avatar_sat_refutation,[],[f95,f97,f102,f684]) ).
fof(f684,plain,
( spl0_1
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f674]) ).
fof(f674,plain,
( $false
| spl0_1
| ~ spl0_10 ),
inference(resolution,[],[f548,f133]) ).
fof(f133,plain,
( ! [X0,X1] : ordered(X0,implies(implies(X0,X1),X1))
| ~ spl0_10 ),
inference(resolution,[],[f11,f94]) ).
fof(f94,plain,
( ! [X0] : ordered(X0,X0)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f93]) ).
fof(f93,plain,
( spl0_10
<=> ! [X0] : ordered(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f11,axiom,
! [X2,X0,X1] :
( ~ ordered(X0,implies(X1,X2))
| ordered(X1,implies(X0,X2)) ),
file('/export/starexec/sandbox2/tmp/tmp.2agwBmRTR8/Vampire---4.8_3453',lemma_3_1) ).
fof(f548,plain,
( ! [X0] : ~ ordered(x,implies(implies(X0,y),y))
| spl0_1
| ~ spl0_10 ),
inference(superposition,[],[f421,f3]) ).
fof(f3,axiom,
! [X0,X1] : implies(implies(X0,X1),X1) = implies(implies(X1,X0),X0),
file('/export/starexec/sandbox2/tmp/tmp.2agwBmRTR8/Vampire---4.8_3453',wajsberg_3) ).
fof(f421,plain,
( ! [X0] : ~ ordered(x,implies(implies(y,X0),X0))
| spl0_1
| ~ spl0_10 ),
inference(resolution,[],[f403,f133]) ).
fof(f403,plain,
( ! [X0] :
( ~ ordered(y,X0)
| ~ ordered(x,X0) )
| spl0_1
| ~ spl0_10 ),
inference(resolution,[],[f355,f9]) ).
fof(f9,axiom,
! [X2,X0,X1] :
( ordered(implies(X0,X2),implies(X1,X2))
| ~ ordered(X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.2agwBmRTR8/Vampire---4.8_3453',lemma_1) ).
fof(f355,plain,
( ! [X0,X1] :
( ~ ordered(implies(x,y),implies(X0,X1))
| ~ ordered(X1,X0) )
| spl0_1
| ~ spl0_10 ),
inference(resolution,[],[f338,f158]) ).
fof(f158,plain,
( ! [X0,X1] :
( ordered(implies(X0,X1),truth)
| ~ ordered(X1,X0) )
| ~ spl0_10 ),
inference(superposition,[],[f10,f148]) ).
fof(f148,plain,
( ! [X0] : truth = implies(X0,X0)
| ~ spl0_10 ),
inference(forward_demodulation,[],[f140,f1]) ).
fof(f1,axiom,
! [X0] : implies(truth,X0) = X0,
file('/export/starexec/sandbox2/tmp/tmp.2agwBmRTR8/Vampire---4.8_3453',wajsberg_1) ).
fof(f140,plain,
( ! [X0] : truth = implies(implies(truth,X0),X0)
| ~ spl0_10 ),
inference(resolution,[],[f133,f24]) ).
fof(f24,plain,
! [X0] :
( ~ ordered(truth,X0)
| truth = X0 ),
inference(superposition,[],[f7,f1]) ).
fof(f7,axiom,
! [X0,X1] :
( truth = implies(X0,X1)
| ~ ordered(X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.2agwBmRTR8/Vampire---4.8_3453',partial_order_definition1) ).
fof(f10,axiom,
! [X2,X0,X1] :
( ordered(implies(X2,X0),implies(X2,X1))
| ~ ordered(X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.2agwBmRTR8/Vampire---4.8_3453',lemma_2) ).
fof(f338,plain,
( ! [X0] :
( ~ ordered(X0,truth)
| ~ ordered(implies(x,y),X0) )
| spl0_1
| ~ spl0_10 ),
inference(superposition,[],[f327,f7]) ).
fof(f327,plain,
( ! [X0] : ~ ordered(X0,implies(implies(x,y),X0))
| spl0_1
| ~ spl0_10 ),
inference(resolution,[],[f254,f36]) ).
fof(f36,plain,
( ~ ordered(implies(x,y),truth)
| spl0_1 ),
inference(avatar_component_clause,[],[f34]) ).
fof(f34,plain,
( spl0_1
<=> ordered(implies(x,y),truth) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f254,plain,
( ! [X0,X1] :
( ordered(X1,truth)
| ~ ordered(X0,implies(X1,X0)) )
| ~ spl0_10 ),
inference(resolution,[],[f244,f144]) ).
fof(f144,plain,
( ! [X0,X1] :
( ~ ordered(implies(X0,X1),X1)
| ordered(X0,truth) )
| ~ spl0_10 ),
inference(superposition,[],[f133,f7]) ).
fof(f244,plain,
( ! [X0,X1] :
( ordered(X1,X0)
| ~ ordered(X0,X1) )
| ~ spl0_10 ),
inference(forward_demodulation,[],[f238,f1]) ).
fof(f238,plain,
( ! [X0,X1] :
( ~ ordered(X0,X1)
| ordered(X1,implies(truth,X0)) )
| ~ spl0_10 ),
inference(resolution,[],[f156,f11]) ).
fof(f156,plain,
( ! [X0,X1] :
( ordered(truth,implies(X1,X0))
| ~ ordered(X0,X1) )
| ~ spl0_10 ),
inference(superposition,[],[f9,f148]) ).
fof(f102,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f99,f34]) ).
fof(f99,plain,
~ ordered(implies(x,y),truth),
inference(resolution,[],[f83,f30]) ).
fof(f30,plain,
~ ordered(implies(implies(x,y),implies(y,x)),implies(y,x)),
inference(trivial_inequality_removal,[],[f27]) ).
fof(f27,plain,
( truth != truth
| ~ ordered(implies(implies(x,y),implies(y,x)),implies(y,x)) ),
inference(superposition,[],[f23,f7]) ).
fof(f23,plain,
truth != implies(implies(implies(x,y),implies(y,x)),implies(y,x)),
inference(definition_unfolding,[],[f17,f5]) ).
fof(f5,axiom,
! [X0,X1] : implies(implies(X0,X1),X1) = big_V(X0,X1),
file('/export/starexec/sandbox2/tmp/tmp.2agwBmRTR8/Vampire---4.8_3453',big_V_definition) ).
fof(f17,axiom,
truth != big_V(implies(x,y),implies(y,x)),
file('/export/starexec/sandbox2/tmp/tmp.2agwBmRTR8/Vampire---4.8_3453',prove_mv_4) ).
fof(f83,plain,
! [X0,X1] :
( ordered(implies(X1,X0),X0)
| ~ ordered(X1,truth) ),
inference(superposition,[],[f9,f1]) ).
fof(f97,plain,
spl0_9,
inference(avatar_contradiction_clause,[],[f96]) ).
fof(f96,plain,
( $false
| spl0_9 ),
inference(resolution,[],[f91,f79]) ).
fof(f79,plain,
ordered(truth,truth),
inference(equality_resolution,[],[f77]) ).
fof(f77,plain,
! [X0] :
( truth != X0
| ordered(truth,X0) ),
inference(superposition,[],[f8,f1]) ).
fof(f8,axiom,
! [X0,X1] :
( truth != implies(X0,X1)
| ordered(X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.2agwBmRTR8/Vampire---4.8_3453',partial_order_definition2) ).
fof(f91,plain,
( ~ ordered(truth,truth)
| spl0_9 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f89,plain,
( spl0_9
<=> ordered(truth,truth) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f95,plain,
( ~ spl0_9
| spl0_10 ),
inference(avatar_split_clause,[],[f86,f93,f89]) ).
fof(f86,plain,
! [X0] :
( ordered(X0,X0)
| ~ ordered(truth,truth) ),
inference(superposition,[],[f81,f1]) ).
fof(f81,plain,
! [X0,X1] :
( ordered(X0,implies(X1,X0))
| ~ ordered(truth,X1) ),
inference(superposition,[],[f9,f1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : LCL109-5 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.16/0.37 % Computer : n026.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 : Fri May 3 13:32:36 EDT 2024
% 0.16/0.37 % CPUTime :
% 0.16/0.37 This is a CNF_UNS_RFO_SEQ_HRN problem
% 0.16/0.37 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.2agwBmRTR8/Vampire---4.8_3453
% 0.49/0.66 % (3566)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2997ds/45Mi)
% 0.49/0.66 % (3561)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 (2997ds/34Mi)
% 0.49/0.66 % (3562)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 (2997ds/51Mi)
% 0.49/0.67 % (3567)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 (2997ds/83Mi)
% 0.49/0.67 % (3567)Refutation not found, incomplete strategy% (3567)------------------------------
% 0.49/0.67 % (3567)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.49/0.67 % (3567)Termination reason: Refutation not found, incomplete strategy
% 0.49/0.67
% 0.49/0.67 % (3567)Memory used [KB]: 987
% 0.49/0.67 % (3567)Time elapsed: 0.003 s
% 0.49/0.67 % (3567)Instructions burned: 3 (million)
% 0.49/0.67 % (3567)------------------------------
% 0.49/0.67 % (3567)------------------------------
% 0.49/0.67 % (3564)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2997ds/33Mi)
% 0.49/0.67 % (3565)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 (2997ds/34Mi)
% 0.49/0.67 % (3565)Refutation not found, incomplete strategy% (3565)------------------------------
% 0.49/0.67 % (3565)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.49/0.67 % (3565)Termination reason: Refutation not found, incomplete strategy
% 0.49/0.67
% 0.49/0.67 % (3565)Memory used [KB]: 984
% 0.49/0.67 % (3565)Time elapsed: 0.001 s
% 0.49/0.67 % (3565)Instructions burned: 2 (million)
% 0.49/0.67 % (3564)Refutation not found, incomplete strategy% (3564)------------------------------
% 0.49/0.67 % (3564)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.49/0.67 % (3564)Termination reason: Refutation not found, incomplete strategy
% 0.49/0.67
% 0.49/0.67 % (3564)Memory used [KB]: 974
% 0.49/0.67 % (3564)Time elapsed: 0.003 s
% 0.49/0.67 % (3564)Instructions burned: 2 (million)
% 0.49/0.67 % (3565)------------------------------
% 0.49/0.67 % (3565)------------------------------
% 0.49/0.67 % (3564)------------------------------
% 0.49/0.67 % (3564)------------------------------
% 0.49/0.67 % (3569)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 (2997ds/55Mi)
% 0.49/0.67 % (3568)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 (2997ds/56Mi)
% 0.49/0.67 % (3568)Refutation not found, incomplete strategy% (3568)------------------------------
% 0.49/0.67 % (3568)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.49/0.67 % (3568)Termination reason: Refutation not found, incomplete strategy
% 0.49/0.67
% 0.49/0.67 % (3568)Memory used [KB]: 984
% 0.49/0.67 % (3568)Time elapsed: 0.003 s
% 0.49/0.67 % (3568)Instructions burned: 2 (million)
% 0.49/0.67 % (3568)------------------------------
% 0.49/0.67 % (3568)------------------------------
% 0.49/0.67 % (3570)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 Vampire---4 for (2997ds/50Mi)
% 0.49/0.67 % (3561)Refutation not found, incomplete strategy% (3561)------------------------------
% 0.49/0.67 % (3561)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.49/0.67 % (3561)Termination reason: Refutation not found, incomplete strategy
% 0.49/0.67
% 0.49/0.67 % (3561)Memory used [KB]: 1003
% 0.49/0.67 % (3561)Time elapsed: 0.004 s
% 0.49/0.67 % (3561)Instructions burned: 3 (million)
% 0.49/0.67 % (3561)------------------------------
% 0.49/0.67 % (3561)------------------------------
% 0.49/0.67 % (3570)Refutation not found, incomplete strategy% (3570)------------------------------
% 0.49/0.67 % (3570)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.49/0.67 % (3570)Termination reason: Refutation not found, incomplete strategy
% 0.49/0.67
% 0.49/0.67 % (3570)Memory used [KB]: 970
% 0.49/0.67 % (3570)Time elapsed: 0.003 s
% 0.49/0.67 % (3570)Instructions burned: 2 (million)
% 0.49/0.67 % (3570)------------------------------
% 0.49/0.67 % (3570)------------------------------
% 0.49/0.67 % (3563)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2997ds/78Mi)
% 0.49/0.68 % (3572)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2997ds/52Mi)
% 0.49/0.68 % (3571)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2997ds/208Mi)
% 0.49/0.68 % (3574)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2997ds/42Mi)
% 0.49/0.68 % (3562)First to succeed.
% 0.49/0.68 % (3574)Refutation not found, incomplete strategy% (3574)------------------------------
% 0.49/0.68 % (3574)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.49/0.68 % (3574)Termination reason: Refutation not found, incomplete strategy
% 0.49/0.68
% 0.49/0.68 % (3574)Memory used [KB]: 971
% 0.49/0.68 % (3574)Time elapsed: 0.002 s
% 0.49/0.68 % (3574)Instructions burned: 2 (million)
% 0.49/0.68 % (3562)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3560"
% 0.49/0.68 % (3574)------------------------------
% 0.49/0.68 % (3574)------------------------------
% 0.49/0.68 % (3562)Refutation found. Thanks to Tanya!
% 0.49/0.68 % SZS status Unsatisfiable for Vampire---4
% 0.49/0.68 % SZS output start Proof for Vampire---4
% See solution above
% 0.49/0.68 % (3562)------------------------------
% 0.49/0.68 % (3562)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.49/0.68 % (3562)Termination reason: Refutation
% 0.49/0.68
% 0.49/0.68 % (3562)Memory used [KB]: 1167
% 0.49/0.68 % (3562)Time elapsed: 0.015 s
% 0.49/0.68 % (3562)Instructions burned: 21 (million)
% 0.49/0.68 % (3560)Success in time 0.304 s
% 0.49/0.68 % Vampire---4.8 exiting
%------------------------------------------------------------------------------