TSTP Solution File: SEU141+2 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU141+2 : TPTP v8.1.2. Released v3.3.0.
% 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 : n025.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 09:20:27 EDT 2024
% Result : Theorem 0.59s 0.76s
% Output : Refutation 0.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 11
% Syntax : Number of formulae : 49 ( 11 unt; 0 def)
% Number of atoms : 114 ( 45 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 109 ( 44 ~; 45 |; 11 &)
% ( 7 <=>; 1 =>; 0 <=; 1 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 50 ( 44 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f658,plain,
$false,
inference(avatar_sat_refutation,[],[f240,f241,f550,f657]) ).
fof(f657,plain,
( ~ spl10_1
| spl10_2 ),
inference(avatar_contradiction_clause,[],[f656]) ).
fof(f656,plain,
( $false
| ~ spl10_1
| spl10_2 ),
inference(subsumption_resolution,[],[f653,f576]) ).
fof(f576,plain,
( empty_set = set_difference(sK2,set_difference(sK2,sK3))
| ~ spl10_1 ),
inference(unit_resulting_resolution,[],[f234,f218]) ).
fof(f218,plain,
! [X0,X1] :
( empty_set = set_difference(X0,set_difference(X0,X1))
| ~ disjoint(X0,X1) ),
inference(definition_unfolding,[],[f197,f149]) ).
fof(f149,plain,
! [X0,X1] : set_intersection2(X0,X1) = set_difference(X0,set_difference(X0,X1)),
inference(cnf_transformation,[],[f47]) ).
fof(f47,axiom,
! [X0,X1] : set_intersection2(X0,X1) = set_difference(X0,set_difference(X0,X1)),
file('/export/starexec/sandbox2/tmp/tmp.npENhXAKTe/Vampire---4.8_32033',t48_xboole_1) ).
fof(f197,plain,
! [X0,X1] :
( set_intersection2(X0,X1) = empty_set
| ~ disjoint(X0,X1) ),
inference(cnf_transformation,[],[f128]) ).
fof(f128,plain,
! [X0,X1] :
( ( disjoint(X0,X1)
| set_intersection2(X0,X1) != empty_set )
& ( set_intersection2(X0,X1) = empty_set
| ~ disjoint(X0,X1) ) ),
inference(nnf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0,X1] :
( disjoint(X0,X1)
<=> set_intersection2(X0,X1) = empty_set ),
file('/export/starexec/sandbox2/tmp/tmp.npENhXAKTe/Vampire---4.8_32033',d7_xboole_0) ).
fof(f234,plain,
( disjoint(sK2,sK3)
| ~ spl10_1 ),
inference(avatar_component_clause,[],[f233]) ).
fof(f233,plain,
( spl10_1
<=> disjoint(sK2,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_1])]) ).
fof(f653,plain,
( empty_set != set_difference(sK2,set_difference(sK2,sK3))
| spl10_2 ),
inference(unit_resulting_resolution,[],[f563,f129]) ).
fof(f129,plain,
! [X0,X1] :
( empty_set != set_difference(X0,X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
! [X0,X1] :
( ( empty_set = set_difference(X0,X1)
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| empty_set != set_difference(X0,X1) ) ),
inference(nnf_transformation,[],[f23]) ).
fof(f23,axiom,
! [X0,X1] :
( empty_set = set_difference(X0,X1)
<=> subset(X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.npENhXAKTe/Vampire---4.8_32033',l32_xboole_1) ).
fof(f563,plain,
( ~ subset(sK2,set_difference(sK2,sK3))
| spl10_2 ),
inference(unit_resulting_resolution,[],[f139,f239,f164]) ).
fof(f164,plain,
! [X0,X1] :
( X0 = X1
| ~ subset(X1,X0)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f101]) ).
fof(f101,plain,
! [X0,X1] :
( ( X0 = X1
| ~ subset(X1,X0)
| ~ subset(X0,X1) )
& ( ( subset(X1,X0)
& subset(X0,X1) )
| X0 != X1 ) ),
inference(flattening,[],[f100]) ).
fof(f100,plain,
! [X0,X1] :
( ( X0 = X1
| ~ subset(X1,X0)
| ~ subset(X0,X1) )
& ( ( subset(X1,X0)
& subset(X0,X1) )
| X0 != X1 ) ),
inference(nnf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1] :
( X0 = X1
<=> ( subset(X1,X0)
& subset(X0,X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.npENhXAKTe/Vampire---4.8_32033',d10_xboole_0) ).
fof(f239,plain,
( sK2 != set_difference(sK2,sK3)
| spl10_2 ),
inference(avatar_component_clause,[],[f237]) ).
fof(f237,plain,
( spl10_2
<=> sK2 = set_difference(sK2,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_2])]) ).
fof(f139,plain,
! [X0,X1] : subset(set_difference(X0,X1),X0),
inference(cnf_transformation,[],[f39]) ).
fof(f39,axiom,
! [X0,X1] : subset(set_difference(X0,X1),X0),
file('/export/starexec/sandbox2/tmp/tmp.npENhXAKTe/Vampire---4.8_32033',t36_xboole_1) ).
fof(f550,plain,
( spl10_1
| ~ spl10_2 ),
inference(avatar_contradiction_clause,[],[f549]) ).
fof(f549,plain,
( $false
| spl10_1
| ~ spl10_2 ),
inference(subsumption_resolution,[],[f548,f242]) ).
fof(f242,plain,
! [X0] : empty_set = set_difference(X0,X0),
inference(forward_demodulation,[],[f208,f159]) ).
fof(f159,plain,
! [X0] : set_difference(X0,empty_set) = X0,
inference(cnf_transformation,[],[f42]) ).
fof(f42,axiom,
! [X0] : set_difference(X0,empty_set) = X0,
file('/export/starexec/sandbox2/tmp/tmp.npENhXAKTe/Vampire---4.8_32033',t3_boole) ).
fof(f208,plain,
! [X0] : empty_set = set_difference(X0,set_difference(X0,empty_set)),
inference(definition_unfolding,[],[f167,f149]) ).
fof(f167,plain,
! [X0] : empty_set = set_intersection2(X0,empty_set),
inference(cnf_transformation,[],[f35]) ).
fof(f35,axiom,
! [X0] : empty_set = set_intersection2(X0,empty_set),
file('/export/starexec/sandbox2/tmp/tmp.npENhXAKTe/Vampire---4.8_32033',t2_boole) ).
fof(f548,plain,
( empty_set != set_difference(sK2,sK2)
| spl10_1
| ~ spl10_2 ),
inference(forward_demodulation,[],[f536,f238]) ).
fof(f238,plain,
( sK2 = set_difference(sK2,sK3)
| ~ spl10_2 ),
inference(avatar_component_clause,[],[f237]) ).
fof(f536,plain,
( empty_set != set_difference(sK2,set_difference(sK2,sK3))
| spl10_1 ),
inference(unit_resulting_resolution,[],[f235,f217]) ).
fof(f217,plain,
! [X0,X1] :
( empty_set != set_difference(X0,set_difference(X0,X1))
| disjoint(X0,X1) ),
inference(definition_unfolding,[],[f198,f149]) ).
fof(f198,plain,
! [X0,X1] :
( disjoint(X0,X1)
| set_intersection2(X0,X1) != empty_set ),
inference(cnf_transformation,[],[f128]) ).
fof(f235,plain,
( ~ disjoint(sK2,sK3)
| spl10_1 ),
inference(avatar_component_clause,[],[f233]) ).
fof(f241,plain,
( spl10_1
| spl10_2 ),
inference(avatar_split_clause,[],[f155,f237,f233]) ).
fof(f155,plain,
( sK2 = set_difference(sK2,sK3)
| disjoint(sK2,sK3) ),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
( ( sK2 != set_difference(sK2,sK3)
| ~ disjoint(sK2,sK3) )
& ( sK2 = set_difference(sK2,sK3)
| disjoint(sK2,sK3) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f97,f98]) ).
fof(f98,plain,
( ? [X0,X1] :
( ( set_difference(X0,X1) != X0
| ~ disjoint(X0,X1) )
& ( set_difference(X0,X1) = X0
| disjoint(X0,X1) ) )
=> ( ( sK2 != set_difference(sK2,sK3)
| ~ disjoint(sK2,sK3) )
& ( sK2 = set_difference(sK2,sK3)
| disjoint(sK2,sK3) ) ) ),
introduced(choice_axiom,[]) ).
fof(f97,plain,
? [X0,X1] :
( ( set_difference(X0,X1) != X0
| ~ disjoint(X0,X1) )
& ( set_difference(X0,X1) = X0
| disjoint(X0,X1) ) ),
inference(nnf_transformation,[],[f81]) ).
fof(f81,plain,
? [X0,X1] :
( disjoint(X0,X1)
<~> set_difference(X0,X1) = X0 ),
inference(ennf_transformation,[],[f56]) ).
fof(f56,negated_conjecture,
~ ! [X0,X1] :
( disjoint(X0,X1)
<=> set_difference(X0,X1) = X0 ),
inference(negated_conjecture,[],[f55]) ).
fof(f55,conjecture,
! [X0,X1] :
( disjoint(X0,X1)
<=> set_difference(X0,X1) = X0 ),
file('/export/starexec/sandbox2/tmp/tmp.npENhXAKTe/Vampire---4.8_32033',t83_xboole_1) ).
fof(f240,plain,
( ~ spl10_1
| ~ spl10_2 ),
inference(avatar_split_clause,[],[f156,f237,f233]) ).
fof(f156,plain,
( sK2 != set_difference(sK2,sK3)
| ~ disjoint(sK2,sK3) ),
inference(cnf_transformation,[],[f99]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEU141+2 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.14 % 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
% 0.15/0.35 % Computer : n025.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri May 3 11:17:43 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.36 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.npENhXAKTe/Vampire---4.8_32033
% 0.55/0.74 % (32148)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)
% 0.55/0.74 % (32141)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)
% 0.55/0.74 % (32143)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.55/0.74 % (32145)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)
% 0.55/0.74 % (32142)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)
% 0.55/0.74 % (32144)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)
% 0.55/0.74 % (32146)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)
% 0.55/0.74 % (32147)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)
% 0.55/0.75 % (32144)First to succeed.
% 0.59/0.76 % (32144)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-32140"
% 0.59/0.76 % (32144)Refutation found. Thanks to Tanya!
% 0.59/0.76 % SZS status Theorem for Vampire---4
% 0.59/0.76 % SZS output start Proof for Vampire---4
% See solution above
% 0.59/0.76 % (32144)------------------------------
% 0.59/0.76 % (32144)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.76 % (32144)Termination reason: Refutation
% 0.59/0.76
% 0.59/0.76 % (32144)Memory used [KB]: 1188
% 0.59/0.76 % (32144)Time elapsed: 0.015 s
% 0.59/0.76 % (32144)Instructions burned: 22 (million)
% 0.59/0.76 % (32140)Success in time 0.383 s
% 0.59/0.76 % Vampire---4.8 exiting
%------------------------------------------------------------------------------