TSTP Solution File: SEU120+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU120+1 : 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n011.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 03:50:07 EDT 2024
% Result : Theorem 0.70s 0.86s
% Output : Refutation 0.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 43 ( 3 unt; 0 def)
% Number of atoms : 111 ( 16 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 128 ( 60 ~; 38 |; 21 &)
% ( 6 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 5 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 52 ( 38 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f100,plain,
$false,
inference(avatar_sat_refutation,[],[f54,f59,f60,f83,f87,f95,f99]) ).
fof(f99,plain,
~ spl6_5,
inference(avatar_contradiction_clause,[],[f97]) ).
fof(f97,plain,
( $false
| ~ spl6_5 ),
inference(resolution,[],[f82,f46]) ).
fof(f46,plain,
! [X2] : ~ in(X2,empty_set),
inference(equality_resolution,[],[f33]) ).
fof(f33,plain,
! [X2,X0] :
( ~ in(X2,X0)
| empty_set != X0 ),
inference(cnf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0] :
( ( empty_set = X0
| in(sK0(X0),X0) )
& ( ! [X2] : ~ in(X2,X0)
| empty_set != X0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f20,f21]) ).
fof(f21,plain,
! [X0] :
( ? [X1] : in(X1,X0)
=> in(sK0(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f20,plain,
! [X0] :
( ( empty_set = X0
| ? [X1] : in(X1,X0) )
& ( ! [X2] : ~ in(X2,X0)
| empty_set != X0 ) ),
inference(rectify,[],[f19]) ).
fof(f19,plain,
! [X0] :
( ( empty_set = X0
| ? [X1] : in(X1,X0) )
& ( ! [X1] : ~ in(X1,X0)
| empty_set != X0 ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( empty_set = X0
<=> ! [X1] : ~ in(X1,X0) ),
file('/export/starexec/sandbox/tmp/tmp.1mhUaoUVft/Vampire---4.8_13499',d1_xboole_0) ).
fof(f82,plain,
( in(sK5,empty_set)
| ~ spl6_5 ),
inference(avatar_component_clause,[],[f80]) ).
fof(f80,plain,
( spl6_5
<=> in(sK5,empty_set) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_5])]) ).
fof(f95,plain,
( spl6_2
| ~ spl6_1 ),
inference(avatar_split_clause,[],[f94,f48,f51]) ).
fof(f51,plain,
( spl6_2
<=> disjoint(sK3,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_2])]) ).
fof(f48,plain,
( spl6_1
<=> ! [X3] : ~ in(X3,set_intersection2(sK3,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1])]) ).
fof(f94,plain,
( disjoint(sK3,sK4)
| ~ spl6_1 ),
inference(trivial_inequality_removal,[],[f93]) ).
fof(f93,plain,
( empty_set != empty_set
| disjoint(sK3,sK4)
| ~ spl6_1 ),
inference(superposition,[],[f36,f85]) ).
fof(f85,plain,
( empty_set = set_intersection2(sK3,sK4)
| ~ spl6_1 ),
inference(resolution,[],[f49,f34]) ).
fof(f34,plain,
! [X0] :
( in(sK0(X0),X0)
| empty_set = X0 ),
inference(cnf_transformation,[],[f22]) ).
fof(f49,plain,
( ! [X3] : ~ in(X3,set_intersection2(sK3,sK4))
| ~ spl6_1 ),
inference(avatar_component_clause,[],[f48]) ).
fof(f36,plain,
! [X0,X1] :
( set_intersection2(X0,X1) != empty_set
| disjoint(X0,X1) ),
inference(cnf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0,X1] :
( ( disjoint(X0,X1)
| set_intersection2(X0,X1) != empty_set )
& ( set_intersection2(X0,X1) = empty_set
| ~ disjoint(X0,X1) ) ),
inference(nnf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0,X1] :
( disjoint(X0,X1)
<=> set_intersection2(X0,X1) = empty_set ),
file('/export/starexec/sandbox/tmp/tmp.1mhUaoUVft/Vampire---4.8_13499',d7_xboole_0) ).
fof(f87,plain,
( ~ spl6_1
| ~ spl6_3 ),
inference(avatar_contradiction_clause,[],[f84]) ).
fof(f84,plain,
( $false
| ~ spl6_1
| ~ spl6_3 ),
inference(resolution,[],[f49,f58]) ).
fof(f58,plain,
( in(sK5,set_intersection2(sK3,sK4))
| ~ spl6_3 ),
inference(avatar_component_clause,[],[f56]) ).
fof(f56,plain,
( spl6_3
<=> in(sK5,set_intersection2(sK3,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_3])]) ).
fof(f83,plain,
( ~ spl6_2
| spl6_5
| ~ spl6_3 ),
inference(avatar_split_clause,[],[f70,f56,f80,f51]) ).
fof(f70,plain,
( in(sK5,empty_set)
| ~ disjoint(sK3,sK4)
| ~ spl6_3 ),
inference(superposition,[],[f58,f35]) ).
fof(f35,plain,
! [X0,X1] :
( set_intersection2(X0,X1) = empty_set
| ~ disjoint(X0,X1) ),
inference(cnf_transformation,[],[f23]) ).
fof(f60,plain,
( ~ spl6_2
| spl6_3 ),
inference(avatar_split_clause,[],[f42,f56,f51]) ).
fof(f42,plain,
( in(sK5,set_intersection2(sK3,sK4))
| ~ disjoint(sK3,sK4) ),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
( ( disjoint(sK3,sK4)
& in(sK5,set_intersection2(sK3,sK4)) )
| ( ! [X3] : ~ in(X3,set_intersection2(sK3,sK4))
& ~ disjoint(sK3,sK4) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5])],[f18,f29,f28]) ).
fof(f28,plain,
( ? [X0,X1] :
( ( disjoint(X0,X1)
& ? [X2] : in(X2,set_intersection2(X0,X1)) )
| ( ! [X3] : ~ in(X3,set_intersection2(X0,X1))
& ~ disjoint(X0,X1) ) )
=> ( ( disjoint(sK3,sK4)
& ? [X2] : in(X2,set_intersection2(sK3,sK4)) )
| ( ! [X3] : ~ in(X3,set_intersection2(sK3,sK4))
& ~ disjoint(sK3,sK4) ) ) ),
introduced(choice_axiom,[]) ).
fof(f29,plain,
( ? [X2] : in(X2,set_intersection2(sK3,sK4))
=> in(sK5,set_intersection2(sK3,sK4)) ),
introduced(choice_axiom,[]) ).
fof(f18,plain,
? [X0,X1] :
( ( disjoint(X0,X1)
& ? [X2] : in(X2,set_intersection2(X0,X1)) )
| ( ! [X3] : ~ in(X3,set_intersection2(X0,X1))
& ~ disjoint(X0,X1) ) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,plain,
~ ! [X0,X1] :
( ~ ( disjoint(X0,X1)
& ? [X2] : in(X2,set_intersection2(X0,X1)) )
& ~ ( ! [X3] : ~ in(X3,set_intersection2(X0,X1))
& ~ disjoint(X0,X1) ) ),
inference(rectify,[],[f13]) ).
fof(f13,negated_conjecture,
~ ! [X0,X1] :
( ~ ( disjoint(X0,X1)
& ? [X2] : in(X2,set_intersection2(X0,X1)) )
& ~ ( ! [X2] : ~ in(X2,set_intersection2(X0,X1))
& ~ disjoint(X0,X1) ) ),
inference(negated_conjecture,[],[f12]) ).
fof(f12,conjecture,
! [X0,X1] :
( ~ ( disjoint(X0,X1)
& ? [X2] : in(X2,set_intersection2(X0,X1)) )
& ~ ( ! [X2] : ~ in(X2,set_intersection2(X0,X1))
& ~ disjoint(X0,X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.1mhUaoUVft/Vampire---4.8_13499',t4_xboole_0) ).
fof(f59,plain,
( spl6_1
| spl6_3 ),
inference(avatar_split_clause,[],[f43,f56,f48]) ).
fof(f43,plain,
! [X3] :
( in(sK5,set_intersection2(sK3,sK4))
| ~ in(X3,set_intersection2(sK3,sK4)) ),
inference(cnf_transformation,[],[f30]) ).
fof(f54,plain,
( spl6_1
| spl6_2 ),
inference(avatar_split_clause,[],[f45,f51,f48]) ).
fof(f45,plain,
! [X3] :
( disjoint(sK3,sK4)
| ~ in(X3,set_intersection2(sK3,sK4)) ),
inference(cnf_transformation,[],[f30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : SEU120+1 : TPTP v8.1.2. Released v3.3.0.
% 0.13/0.15 % 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
% 0.16/0.36 % Computer : n011.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Tue Apr 30 16:19:01 EDT 2024
% 0.16/0.37 % CPUTime :
% 0.16/0.37 This is a FOF_THM_RFO_SEQ 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.1mhUaoUVft/Vampire---4.8_13499
% 0.70/0.86 % (13810)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.70/0.86 % (13808)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 (2995ds/51Mi)
% 0.70/0.86 % (13807)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 (2995ds/34Mi)
% 0.70/0.86 % (13809)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.70/0.86 % (13811)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 (2995ds/34Mi)
% 0.70/0.86 % (13812)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.70/0.86 % (13813)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 (2995ds/83Mi)
% 0.70/0.86 % (13814)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 (2995ds/56Mi)
% 0.70/0.86 % (13811)Refutation not found, incomplete strategy% (13811)------------------------------
% 0.70/0.86 % (13811)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.70/0.86 % (13811)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.86
% 0.70/0.86 % (13811)Memory used [KB]: 977
% 0.70/0.86 % (13811)Time elapsed: 0.003 s
% 0.70/0.86 % (13811)Instructions burned: 2 (million)
% 0.70/0.86 % (13811)------------------------------
% 0.70/0.86 % (13811)------------------------------
% 0.70/0.86 % (13812)Refutation not found, incomplete strategy% (13812)------------------------------
% 0.70/0.86 % (13812)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.70/0.86 % (13812)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.86 % (13807)Refutation not found, incomplete strategy% (13807)------------------------------
% 0.70/0.86 % (13807)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.70/0.86 % (13807)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.86
% 0.70/0.86 % (13807)Memory used [KB]: 986
% 0.70/0.86 % (13807)Time elapsed: 0.003 s
% 0.70/0.86 % (13807)Instructions burned: 3 (million)
% 0.70/0.86 % (13807)------------------------------
% 0.70/0.86 % (13807)------------------------------
% 0.70/0.86
% 0.70/0.86 % (13812)Memory used [KB]: 977
% 0.70/0.86 % (13812)Time elapsed: 0.003 s
% 0.70/0.86 % (13812)Instructions burned: 2 (million)
% 0.70/0.86 % (13812)------------------------------
% 0.70/0.86 % (13812)------------------------------
% 0.70/0.86 % (13814)Refutation not found, incomplete strategy% (13814)------------------------------
% 0.70/0.86 % (13814)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.70/0.86 % (13814)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.86
% 0.70/0.86 % (13814)Memory used [KB]: 976
% 0.70/0.86 % (13814)Time elapsed: 0.003 s
% 0.70/0.86 % (13814)Instructions burned: 2 (million)
% 0.70/0.86 % (13814)------------------------------
% 0.70/0.86 % (13814)------------------------------
% 0.70/0.86 % (13808)First to succeed.
% 0.70/0.86 % (13813)Also succeeded, but the first one will report.
% 0.70/0.86 % (13808)Refutation found. Thanks to Tanya!
% 0.70/0.86 % SZS status Theorem for Vampire---4
% 0.70/0.86 % SZS output start Proof for Vampire---4
% See solution above
% 0.70/0.86 % (13808)------------------------------
% 0.70/0.86 % (13808)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.70/0.86 % (13808)Termination reason: Refutation
% 0.70/0.86
% 0.70/0.86 % (13808)Memory used [KB]: 1004
% 0.70/0.86 % (13808)Time elapsed: 0.005 s
% 0.70/0.86 % (13808)Instructions burned: 5 (million)
% 0.70/0.86 % (13808)------------------------------
% 0.70/0.86 % (13808)------------------------------
% 0.70/0.86 % (13748)Success in time 0.49 s
% 0.70/0.87 % Vampire---4.8 exiting
%------------------------------------------------------------------------------