TSTP Solution File: SEU102+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU102+1 : 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 : n008.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 09:20:16 EDT 2024
% Result : Theorem 0.62s 0.77s
% Output : Refutation 0.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 6
% Syntax : Number of formulae : 35 ( 13 unt; 0 def)
% Number of atoms : 119 ( 9 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 140 ( 56 ~; 47 |; 30 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 64 ( 55 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f318,plain,
$false,
inference(subsumption_resolution,[],[f310,f84]) ).
fof(f84,plain,
element(sK1,sK2),
inference(cnf_transformation,[],[f62]) ).
fof(f62,plain,
( ~ element(set_intersection2(sK0,sK1),sK2)
& element(sK1,sK2)
& element(sK0,sK2)
& preboolean(sK2)
& ~ empty(sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f43,f61]) ).
fof(f61,plain,
( ? [X0,X1,X2] :
( ~ element(set_intersection2(X0,X1),X2)
& element(X1,X2)
& element(X0,X2)
& preboolean(X2)
& ~ empty(X2) )
=> ( ~ element(set_intersection2(sK0,sK1),sK2)
& element(sK1,sK2)
& element(sK0,sK2)
& preboolean(sK2)
& ~ empty(sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f43,plain,
? [X0,X1,X2] :
( ~ element(set_intersection2(X0,X1),X2)
& element(X1,X2)
& element(X0,X2)
& preboolean(X2)
& ~ empty(X2) ),
inference(flattening,[],[f42]) ).
fof(f42,plain,
? [X0,X1,X2] :
( ~ element(set_intersection2(X0,X1),X2)
& element(X1,X2)
& element(X0,X2)
& preboolean(X2)
& ~ empty(X2) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,negated_conjecture,
~ ! [X0,X1,X2] :
( ( preboolean(X2)
& ~ empty(X2) )
=> ( ( element(X1,X2)
& element(X0,X2) )
=> element(set_intersection2(X0,X1),X2) ) ),
inference(negated_conjecture,[],[f26]) ).
fof(f26,conjecture,
! [X0,X1,X2] :
( ( preboolean(X2)
& ~ empty(X2) )
=> ( ( element(X1,X2)
& element(X0,X2) )
=> element(set_intersection2(X0,X1),X2) ) ),
file('/export/starexec/sandbox/tmp/tmp.DkwrGweM5V/Vampire---4.8_13813',t13_finsub_1) ).
fof(f310,plain,
~ element(sK1,sK2),
inference(resolution,[],[f300,f125]) ).
fof(f125,plain,
~ element(set_difference(sK0,set_difference(sK0,sK1)),sK2),
inference(definition_unfolding,[],[f85,f86]) ).
fof(f86,plain,
! [X0,X1] : set_intersection2(X0,X1) = set_difference(X0,set_difference(X0,X1)),
inference(cnf_transformation,[],[f33]) ).
fof(f33,axiom,
! [X0,X1] : set_intersection2(X0,X1) = set_difference(X0,set_difference(X0,X1)),
file('/export/starexec/sandbox/tmp/tmp.DkwrGweM5V/Vampire---4.8_13813',t48_xboole_1) ).
fof(f85,plain,
~ element(set_intersection2(sK0,sK1),sK2),
inference(cnf_transformation,[],[f62]) ).
fof(f300,plain,
! [X0] :
( element(set_difference(sK0,set_difference(sK0,X0)),sK2)
| ~ element(X0,sK2) ),
inference(duplicate_literal_removal,[],[f296]) ).
fof(f296,plain,
! [X0] :
( element(set_difference(sK0,set_difference(sK0,X0)),sK2)
| ~ element(X0,sK2)
| ~ element(X0,sK2) ),
inference(superposition,[],[f234,f130]) ).
fof(f130,plain,
! [X0,X1] : set_difference(X0,set_difference(X0,X1)) = set_difference(X1,set_difference(X1,X0)),
inference(definition_unfolding,[],[f91,f86,f86]) ).
fof(f91,plain,
! [X0,X1] : set_intersection2(X0,X1) = set_intersection2(X1,X0),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0,X1] : set_intersection2(X0,X1) = set_intersection2(X1,X0),
file('/export/starexec/sandbox/tmp/tmp.DkwrGweM5V/Vampire---4.8_13813',commutativity_k3_xboole_0) ).
fof(f234,plain,
! [X0,X1] :
( element(set_difference(X1,set_difference(X0,sK0)),sK2)
| ~ element(X1,sK2)
| ~ element(X0,sK2) ),
inference(resolution,[],[f224,f222]) ).
fof(f222,plain,
! [X0,X1] :
( ~ element(X0,sK2)
| ~ element(X1,sK2)
| element(set_difference(X1,X0),sK2) ),
inference(subsumption_resolution,[],[f219,f81]) ).
fof(f81,plain,
~ empty(sK2),
inference(cnf_transformation,[],[f62]) ).
fof(f219,plain,
! [X0,X1] :
( ~ element(X0,sK2)
| ~ element(X1,sK2)
| element(set_difference(X1,X0),sK2)
| empty(sK2) ),
inference(resolution,[],[f204,f82]) ).
fof(f82,plain,
preboolean(sK2),
inference(cnf_transformation,[],[f62]) ).
fof(f204,plain,
! [X2,X0,X1] :
( ~ preboolean(X0)
| ~ element(X2,X0)
| ~ element(X1,X0)
| element(set_difference(X1,X2),X0)
| empty(X0) ),
inference(duplicate_literal_removal,[],[f203]) ).
fof(f203,plain,
! [X2,X0,X1] :
( element(set_difference(X1,X2),X0)
| ~ element(X2,X0)
| ~ element(X1,X0)
| ~ preboolean(X0)
| empty(X0)
| ~ element(X2,X0)
| ~ element(X1,X0)
| ~ preboolean(X0)
| empty(X0) ),
inference(superposition,[],[f99,f94]) ).
fof(f94,plain,
! [X2,X0,X1] :
( prebool_difference(X0,X1,X2) = set_difference(X1,X2)
| ~ element(X2,X0)
| ~ element(X1,X0)
| ~ preboolean(X0)
| empty(X0) ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0,X1,X2] :
( prebool_difference(X0,X1,X2) = set_difference(X1,X2)
| ~ element(X2,X0)
| ~ element(X1,X0)
| ~ preboolean(X0)
| empty(X0) ),
inference(flattening,[],[f46]) ).
fof(f46,plain,
! [X0,X1,X2] :
( prebool_difference(X0,X1,X2) = set_difference(X1,X2)
| ~ element(X2,X0)
| ~ element(X1,X0)
| ~ preboolean(X0)
| empty(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,axiom,
! [X0,X1,X2] :
( ( element(X2,X0)
& element(X1,X0)
& preboolean(X0)
& ~ empty(X0) )
=> prebool_difference(X0,X1,X2) = set_difference(X1,X2) ),
file('/export/starexec/sandbox/tmp/tmp.DkwrGweM5V/Vampire---4.8_13813',redefinition_k2_finsub_1) ).
fof(f99,plain,
! [X2,X0,X1] :
( element(prebool_difference(X0,X1,X2),X0)
| ~ element(X2,X0)
| ~ element(X1,X0)
| ~ preboolean(X0)
| empty(X0) ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0,X1,X2] :
( element(prebool_difference(X0,X1,X2),X0)
| ~ element(X2,X0)
| ~ element(X1,X0)
| ~ preboolean(X0)
| empty(X0) ),
inference(flattening,[],[f48]) ).
fof(f48,plain,
! [X0,X1,X2] :
( element(prebool_difference(X0,X1,X2),X0)
| ~ element(X2,X0)
| ~ element(X1,X0)
| ~ preboolean(X0)
| empty(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0,X1,X2] :
( ( element(X2,X0)
& element(X1,X0)
& preboolean(X0)
& ~ empty(X0) )
=> element(prebool_difference(X0,X1,X2),X0) ),
file('/export/starexec/sandbox/tmp/tmp.DkwrGweM5V/Vampire---4.8_13813',dt_k2_finsub_1) ).
fof(f224,plain,
! [X0] :
( element(set_difference(X0,sK0),sK2)
| ~ element(X0,sK2) ),
inference(resolution,[],[f222,f83]) ).
fof(f83,plain,
element(sK0,sK2),
inference(cnf_transformation,[],[f62]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEU102+1 : 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
% 0.15/0.37 % Computer : n008.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Fri May 3 10:54:27 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.15/0.37 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.37 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.DkwrGweM5V/Vampire---4.8_13813
% 0.57/0.76 % (14241)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)
% 0.57/0.76 % (14241)Refutation not found, incomplete strategy% (14241)------------------------------
% 0.57/0.76 % (14241)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76 % (14241)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76
% 0.57/0.76 % (14241)Memory used [KB]: 964
% 0.57/0.76 % (14241)Time elapsed: 0.002 s
% 0.57/0.76 % (14241)Instructions burned: 2 (million)
% 0.57/0.76 % (14233)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)
% 0.57/0.76 % (14241)------------------------------
% 0.57/0.76 % (14241)------------------------------
% 0.57/0.76 % (14235)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.76 % (14234)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)
% 0.57/0.76 % (14236)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)
% 0.57/0.76 % (14239)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)
% 0.57/0.76 % (14237)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)
% 0.57/0.76 % (14240)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)
% 0.57/0.76 % (14236)Refutation not found, incomplete strategy% (14236)------------------------------
% 0.57/0.76 % (14236)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76 % (14236)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76
% 0.57/0.76 % (14236)Memory used [KB]: 975
% 0.57/0.76 % (14236)Time elapsed: 0.003 s
% 0.57/0.76 % (14236)Instructions burned: 2 (million)
% 0.57/0.76 % (14239)Refutation not found, incomplete strategy% (14239)------------------------------
% 0.57/0.76 % (14239)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76 % (14239)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76
% 0.57/0.76 % (14239)Memory used [KB]: 966
% 0.57/0.76 % (14239)Time elapsed: 0.003 s
% 0.57/0.76 % (14239)Instructions burned: 3 (million)
% 0.57/0.76 % (14236)------------------------------
% 0.57/0.76 % (14236)------------------------------
% 0.57/0.76 % (14239)------------------------------
% 0.57/0.76 % (14239)------------------------------
% 0.57/0.76 % (14246)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 % (14251)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 (2996ds/50Mi)
% 0.57/0.77 % (14252)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 (2996ds/208Mi)
% 0.62/0.77 % (14235)First to succeed.
% 0.62/0.77 % (14235)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-14055"
% 0.62/0.77 % (14235)Refutation found. Thanks to Tanya!
% 0.62/0.77 % SZS status Theorem for Vampire---4
% 0.62/0.77 % SZS output start Proof for Vampire---4
% See solution above
% 0.62/0.77 % (14235)------------------------------
% 0.62/0.77 % (14235)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.77 % (14235)Termination reason: Refutation
% 0.62/0.77
% 0.62/0.77 % (14235)Memory used [KB]: 1142
% 0.62/0.77 % (14235)Time elapsed: 0.010 s
% 0.62/0.77 % (14235)Instructions burned: 14 (million)
% 0.62/0.77 % (14055)Success in time 0.395 s
% 0.62/0.77 % Vampire---4.8 exiting
%------------------------------------------------------------------------------