TSTP Solution File: GEO083+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GEO083+1 : TPTP v8.1.2. Released v2.4.0.
% 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 : n003.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 05:09:11 EDT 2024
% Result : Theorem 0.57s 0.73s
% Output : Refutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 8
% Syntax : Number of formulae : 46 ( 10 unt; 0 def)
% Number of atoms : 184 ( 13 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 213 ( 75 ~; 70 |; 53 &)
% ( 8 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 3 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-3 aty)
% Number of variables : 104 ( 85 !; 19 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f182,plain,
$false,
inference(avatar_sat_refutation,[],[f159,f162,f181]) ).
fof(f181,plain,
~ spl13_3,
inference(avatar_contradiction_clause,[],[f180]) ).
fof(f180,plain,
( $false
| ~ spl13_3 ),
inference(subsumption_resolution,[],[f179,f154]) ).
fof(f154,plain,
( incident_c(sK8(sum(sK0,sK2),sum(sK0,sK1)),sK1)
| ~ spl13_3 ),
inference(avatar_component_clause,[],[f152]) ).
fof(f152,plain,
( spl13_3
<=> incident_c(sK8(sum(sK0,sK2),sum(sK0,sK1)),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_3])]) ).
fof(f179,plain,
~ incident_c(sK8(sum(sK0,sK2),sum(sK0,sK1)),sK1),
inference(resolution,[],[f161,f118]) ).
fof(f118,plain,
! [X0] :
( incident_c(X0,sK2)
| ~ incident_c(X0,sK1) ),
inference(resolution,[],[f70,f90]) ).
fof(f90,plain,
! [X3,X0,X1] :
( ~ part_of(X1,X0)
| ~ incident_c(X3,X1)
| incident_c(X3,X0) ),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0,X1] :
( ( part_of(X1,X0)
| ( ~ incident_c(sK8(X0,X1),X0)
& incident_c(sK8(X0,X1),X1) ) )
& ( ! [X3] :
( incident_c(X3,X0)
| ~ incident_c(X3,X1) )
| ~ part_of(X1,X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f57,f58]) ).
fof(f58,plain,
! [X0,X1] :
( ? [X2] :
( ~ incident_c(X2,X0)
& incident_c(X2,X1) )
=> ( ~ incident_c(sK8(X0,X1),X0)
& incident_c(sK8(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f57,plain,
! [X0,X1] :
( ( part_of(X1,X0)
| ? [X2] :
( ~ incident_c(X2,X0)
& incident_c(X2,X1) ) )
& ( ! [X3] :
( incident_c(X3,X0)
| ~ incident_c(X3,X1) )
| ~ part_of(X1,X0) ) ),
inference(rectify,[],[f56]) ).
fof(f56,plain,
! [X0,X1] :
( ( part_of(X1,X0)
| ? [X2] :
( ~ incident_c(X2,X0)
& incident_c(X2,X1) ) )
& ( ! [X2] :
( incident_c(X2,X0)
| ~ incident_c(X2,X1) )
| ~ part_of(X1,X0) ) ),
inference(nnf_transformation,[],[f34]) ).
fof(f34,plain,
! [X0,X1] :
( part_of(X1,X0)
<=> ! [X2] :
( incident_c(X2,X0)
| ~ incident_c(X2,X1) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] :
( part_of(X1,X0)
<=> ! [X2] :
( incident_c(X2,X1)
=> incident_c(X2,X0) ) ),
file('/export/starexec/sandbox/tmp/tmp.8dTc28VXxt/Vampire---4.8_12535',part_of_defn) ).
fof(f70,plain,
part_of(sK1,sK2),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
( ~ part_of(sum(sK0,sK1),sum(sK0,sK2))
& meet(sK3,sK0,sK2)
& meet(sK3,sK0,sK1)
& part_of(sK1,sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f28,f41]) ).
fof(f41,plain,
( ? [X0,X1,X2,X3] :
( ~ part_of(sum(X0,X1),sum(X0,X2))
& meet(X3,X0,X2)
& meet(X3,X0,X1)
& part_of(X1,X2) )
=> ( ~ part_of(sum(sK0,sK1),sum(sK0,sK2))
& meet(sK3,sK0,sK2)
& meet(sK3,sK0,sK1)
& part_of(sK1,sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f28,plain,
? [X0,X1,X2,X3] :
( ~ part_of(sum(X0,X1),sum(X0,X2))
& meet(X3,X0,X2)
& meet(X3,X0,X1)
& part_of(X1,X2) ),
inference(flattening,[],[f27]) ).
fof(f27,plain,
? [X0,X1,X2,X3] :
( ~ part_of(sum(X0,X1),sum(X0,X2))
& meet(X3,X0,X2)
& meet(X3,X0,X1)
& part_of(X1,X2) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,plain,
~ ! [X0,X1,X2,X3] :
( ( meet(X3,X0,X2)
& meet(X3,X0,X1)
& part_of(X1,X2) )
=> part_of(sum(X0,X1),sum(X0,X2)) ),
inference(rectify,[],[f18]) ).
fof(f18,negated_conjecture,
~ ! [X1,X3,X5,X2] :
( ( meet(X2,X1,X5)
& meet(X2,X1,X3)
& part_of(X3,X5) )
=> part_of(sum(X1,X3),sum(X1,X5)) ),
inference(negated_conjecture,[],[f17]) ).
fof(f17,conjecture,
! [X1,X3,X5,X2] :
( ( meet(X2,X1,X5)
& meet(X2,X1,X3)
& part_of(X3,X5) )
=> part_of(sum(X1,X3),sum(X1,X5)) ),
file('/export/starexec/sandbox/tmp/tmp.8dTc28VXxt/Vampire---4.8_12535',corollary_2_6_1) ).
fof(f161,plain,
~ incident_c(sK8(sum(sK0,sK2),sum(sK0,sK1)),sK2),
inference(resolution,[],[f128,f105]) ).
fof(f105,plain,
! [X2,X1,X4] :
( incident_c(X4,sum(X1,X2))
| ~ incident_c(X4,X2) ),
inference(equality_resolution,[],[f77]) ).
fof(f77,plain,
! [X2,X0,X1,X4] :
( incident_c(X4,X0)
| ~ incident_c(X4,X2)
| sum(X1,X2) != X0 ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0,X1,X2] :
( ( sum(X1,X2) = X0
| ( ( ( ~ incident_c(sK5(X0,X1,X2),X2)
& ~ incident_c(sK5(X0,X1,X2),X1) )
| ~ incident_c(sK5(X0,X1,X2),X0) )
& ( incident_c(sK5(X0,X1,X2),X2)
| incident_c(sK5(X0,X1,X2),X1)
| incident_c(sK5(X0,X1,X2),X0) ) ) )
& ( ! [X4] :
( ( incident_c(X4,X0)
| ( ~ incident_c(X4,X2)
& ~ incident_c(X4,X1) ) )
& ( incident_c(X4,X2)
| incident_c(X4,X1)
| ~ incident_c(X4,X0) ) )
| sum(X1,X2) != X0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f48,f49]) ).
fof(f49,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( ( ~ incident_c(X3,X2)
& ~ incident_c(X3,X1) )
| ~ incident_c(X3,X0) )
& ( incident_c(X3,X2)
| incident_c(X3,X1)
| incident_c(X3,X0) ) )
=> ( ( ( ~ incident_c(sK5(X0,X1,X2),X2)
& ~ incident_c(sK5(X0,X1,X2),X1) )
| ~ incident_c(sK5(X0,X1,X2),X0) )
& ( incident_c(sK5(X0,X1,X2),X2)
| incident_c(sK5(X0,X1,X2),X1)
| incident_c(sK5(X0,X1,X2),X0) ) ) ),
introduced(choice_axiom,[]) ).
fof(f48,plain,
! [X0,X1,X2] :
( ( sum(X1,X2) = X0
| ? [X3] :
( ( ( ~ incident_c(X3,X2)
& ~ incident_c(X3,X1) )
| ~ incident_c(X3,X0) )
& ( incident_c(X3,X2)
| incident_c(X3,X1)
| incident_c(X3,X0) ) ) )
& ( ! [X4] :
( ( incident_c(X4,X0)
| ( ~ incident_c(X4,X2)
& ~ incident_c(X4,X1) ) )
& ( incident_c(X4,X2)
| incident_c(X4,X1)
| ~ incident_c(X4,X0) ) )
| sum(X1,X2) != X0 ) ),
inference(rectify,[],[f47]) ).
fof(f47,plain,
! [X0,X1,X2] :
( ( sum(X1,X2) = X0
| ? [X3] :
( ( ( ~ incident_c(X3,X2)
& ~ incident_c(X3,X1) )
| ~ incident_c(X3,X0) )
& ( incident_c(X3,X2)
| incident_c(X3,X1)
| incident_c(X3,X0) ) ) )
& ( ! [X3] :
( ( incident_c(X3,X0)
| ( ~ incident_c(X3,X2)
& ~ incident_c(X3,X1) ) )
& ( incident_c(X3,X2)
| incident_c(X3,X1)
| ~ incident_c(X3,X0) ) )
| sum(X1,X2) != X0 ) ),
inference(flattening,[],[f46]) ).
fof(f46,plain,
! [X0,X1,X2] :
( ( sum(X1,X2) = X0
| ? [X3] :
( ( ( ~ incident_c(X3,X2)
& ~ incident_c(X3,X1) )
| ~ incident_c(X3,X0) )
& ( incident_c(X3,X2)
| incident_c(X3,X1)
| incident_c(X3,X0) ) ) )
& ( ! [X3] :
( ( incident_c(X3,X0)
| ( ~ incident_c(X3,X2)
& ~ incident_c(X3,X1) ) )
& ( incident_c(X3,X2)
| incident_c(X3,X1)
| ~ incident_c(X3,X0) ) )
| sum(X1,X2) != X0 ) ),
inference(nnf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0,X1,X2] :
( sum(X1,X2) = X0
<=> ! [X3] :
( incident_c(X3,X0)
<=> ( incident_c(X3,X2)
| incident_c(X3,X1) ) ) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X0,X1,X3] :
( sum(X1,X3) = X0
<=> ! [X4] :
( incident_c(X4,X0)
<=> ( incident_c(X4,X3)
| incident_c(X4,X1) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.8dTc28VXxt/Vampire---4.8_12535',sum_defn) ).
fof(f128,plain,
~ incident_c(sK8(sum(sK0,sK2),sum(sK0,sK1)),sum(sK0,sK2)),
inference(resolution,[],[f73,f92]) ).
fof(f92,plain,
! [X0,X1] :
( part_of(X1,X0)
| ~ incident_c(sK8(X0,X1),X0) ),
inference(cnf_transformation,[],[f59]) ).
fof(f73,plain,
~ part_of(sum(sK0,sK1),sum(sK0,sK2)),
inference(cnf_transformation,[],[f42]) ).
fof(f162,plain,
~ spl13_4,
inference(avatar_split_clause,[],[f160,f156]) ).
fof(f156,plain,
( spl13_4
<=> incident_c(sK8(sum(sK0,sK2),sum(sK0,sK1)),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_4])]) ).
fof(f160,plain,
~ incident_c(sK8(sum(sK0,sK2),sum(sK0,sK1)),sK0),
inference(resolution,[],[f128,f106]) ).
fof(f106,plain,
! [X2,X1,X4] :
( incident_c(X4,sum(X1,X2))
| ~ incident_c(X4,X1) ),
inference(equality_resolution,[],[f76]) ).
fof(f76,plain,
! [X2,X0,X1,X4] :
( incident_c(X4,X0)
| ~ incident_c(X4,X1)
| sum(X1,X2) != X0 ),
inference(cnf_transformation,[],[f50]) ).
fof(f159,plain,
( spl13_3
| spl13_4 ),
inference(avatar_split_clause,[],[f150,f156,f152]) ).
fof(f150,plain,
( incident_c(sK8(sum(sK0,sK2),sum(sK0,sK1)),sK0)
| incident_c(sK8(sum(sK0,sK2),sum(sK0,sK1)),sK1) ),
inference(resolution,[],[f127,f107]) ).
fof(f107,plain,
! [X2,X1,X4] :
( ~ incident_c(X4,sum(X1,X2))
| incident_c(X4,X1)
| incident_c(X4,X2) ),
inference(equality_resolution,[],[f75]) ).
fof(f75,plain,
! [X2,X0,X1,X4] :
( incident_c(X4,X2)
| incident_c(X4,X1)
| ~ incident_c(X4,X0)
| sum(X1,X2) != X0 ),
inference(cnf_transformation,[],[f50]) ).
fof(f127,plain,
incident_c(sK8(sum(sK0,sK2),sum(sK0,sK1)),sum(sK0,sK1)),
inference(resolution,[],[f73,f91]) ).
fof(f91,plain,
! [X0,X1] :
( part_of(X1,X0)
| incident_c(sK8(X0,X1),X1) ),
inference(cnf_transformation,[],[f59]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO083+1 : TPTP v8.1.2. Released v2.4.0.
% 0.12/0.14 % 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
% 0.14/0.34 % Computer : n003.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Fri May 3 22:07:08 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a FOF_THM_RFO_SEQ problem
% 0.14/0.35 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.8dTc28VXxt/Vampire---4.8_12535
% 0.57/0.73 % (12651)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)
% 0.57/0.73 % (12644)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)
% 0.57/0.73 % (12646)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.73 % (12648)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)
% 0.57/0.73 % (12645)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)
% 0.57/0.73 % (12647)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)
% 0.57/0.73 % (12649)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)
% 0.57/0.73 % (12650)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)
% 0.57/0.73 % (12651)First to succeed.
% 0.57/0.73 % (12651)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-12643"
% 0.57/0.73 % (12651)Refutation found. Thanks to Tanya!
% 0.57/0.73 % SZS status Theorem for Vampire---4
% 0.57/0.73 % SZS output start Proof for Vampire---4
% See solution above
% 0.57/0.74 % (12651)------------------------------
% 0.57/0.74 % (12651)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.74 % (12651)Termination reason: Refutation
% 0.57/0.74
% 0.57/0.74 % (12651)Memory used [KB]: 1097
% 0.57/0.74 % (12651)Time elapsed: 0.004 s
% 0.57/0.74 % (12651)Instructions burned: 7 (million)
% 0.57/0.74 % (12643)Success in time 0.377 s
% 0.57/0.74 % Vampire---4.8 exiting
%------------------------------------------------------------------------------