TSTP Solution File: SEU263+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SEU263+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n019.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 : Tue Apr 30 15:25:41 EDT 2024
% Result : Theorem 0.22s 0.43s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 13
% Syntax : Number of formulae : 57 ( 10 unt; 0 def)
% Number of atoms : 131 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 125 ( 51 ~; 42 |; 16 &)
% ( 5 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 4 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 106 ( 94 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1046,plain,
$false,
inference(avatar_sat_refutation,[],[f1035,f1037,f1041,f1045]) ).
fof(f1045,plain,
spl7_11,
inference(avatar_contradiction_clause,[],[f1042]) ).
fof(f1042,plain,
( $false
| spl7_11 ),
inference(resolution,[],[f1034,f45]) ).
fof(f45,plain,
subset(relation_rng(sK3),sK1),
inference(cnf_transformation,[],[f34]) ).
fof(f34,plain,
( ~ relation_of2_as_subset(sK3,sK2,sK1)
& subset(relation_rng(sK3),sK1)
& relation_of2_as_subset(sK3,sK2,sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f24,f33]) ).
fof(f33,plain,
( ? [X0,X1,X2,X3] :
( ~ relation_of2_as_subset(X3,X2,X1)
& subset(relation_rng(X3),X1)
& relation_of2_as_subset(X3,X2,X0) )
=> ( ~ relation_of2_as_subset(sK3,sK2,sK1)
& subset(relation_rng(sK3),sK1)
& relation_of2_as_subset(sK3,sK2,sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f24,plain,
? [X0,X1,X2,X3] :
( ~ relation_of2_as_subset(X3,X2,X1)
& subset(relation_rng(X3),X1)
& relation_of2_as_subset(X3,X2,X0) ),
inference(flattening,[],[f23]) ).
fof(f23,plain,
? [X0,X1,X2,X3] :
( ~ relation_of2_as_subset(X3,X2,X1)
& subset(relation_rng(X3),X1)
& relation_of2_as_subset(X3,X2,X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( relation_of2_as_subset(X3,X2,X0)
=> ( subset(relation_rng(X3),X1)
=> relation_of2_as_subset(X3,X2,X1) ) ),
inference(negated_conjecture,[],[f17]) ).
fof(f17,conjecture,
! [X0,X1,X2,X3] :
( relation_of2_as_subset(X3,X2,X0)
=> ( subset(relation_rng(X3),X1)
=> relation_of2_as_subset(X3,X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t14_relset_1) ).
fof(f1034,plain,
( ~ subset(relation_rng(sK3),sK1)
| spl7_11 ),
inference(avatar_component_clause,[],[f1032]) ).
fof(f1032,plain,
( spl7_11
<=> subset(relation_rng(sK3),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_11])]) ).
fof(f1041,plain,
spl7_10,
inference(avatar_contradiction_clause,[],[f1038]) ).
fof(f1038,plain,
( $false
| spl7_10 ),
inference(resolution,[],[f1030,f66]) ).
fof(f66,plain,
subset(relation_dom(sK3),sK2),
inference(resolution,[],[f55,f44]) ).
fof(f44,plain,
relation_of2_as_subset(sK3,sK2,sK0),
inference(cnf_transformation,[],[f34]) ).
fof(f55,plain,
! [X2,X0,X1] :
( ~ relation_of2_as_subset(X2,X0,X1)
| subset(relation_dom(X2),X0) ),
inference(cnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0,X1,X2] :
( ( subset(relation_rng(X2),X1)
& subset(relation_dom(X2),X0) )
| ~ relation_of2_as_subset(X2,X0,X1) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0,X1,X2] :
( relation_of2_as_subset(X2,X0,X1)
=> ( subset(relation_rng(X2),X1)
& subset(relation_dom(X2),X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12_relset_1) ).
fof(f1030,plain,
( ~ subset(relation_dom(sK3),sK2)
| spl7_10 ),
inference(avatar_component_clause,[],[f1028]) ).
fof(f1028,plain,
( spl7_10
<=> subset(relation_dom(sK3),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_10])]) ).
fof(f1037,plain,
spl7_9,
inference(avatar_contradiction_clause,[],[f1036]) ).
fof(f1036,plain,
( $false
| spl7_9 ),
inference(resolution,[],[f1026,f95]) ).
fof(f95,plain,
relation(sK3),
inference(resolution,[],[f93,f44]) ).
fof(f93,plain,
! [X2,X0,X1] :
( ~ relation_of2_as_subset(X0,X1,X2)
| relation(X0) ),
inference(resolution,[],[f54,f57]) ).
fof(f57,plain,
! [X2,X0,X1] :
( ~ element(X2,powerset(cartesian_product2(X0,X1)))
| relation(X2) ),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0,X1,X2] :
( relation(X2)
| ~ element(X2,powerset(cartesian_product2(X0,X1))) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1,X2] :
( element(X2,powerset(cartesian_product2(X0,X1)))
=> relation(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_relset_1) ).
fof(f54,plain,
! [X2,X0,X1] :
( element(X2,powerset(cartesian_product2(X0,X1)))
| ~ relation_of2_as_subset(X2,X0,X1) ),
inference(cnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0,X1,X2] :
( element(X2,powerset(cartesian_product2(X0,X1)))
| ~ relation_of2_as_subset(X2,X0,X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1,X2] :
( relation_of2_as_subset(X2,X0,X1)
=> element(X2,powerset(cartesian_product2(X0,X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_relset_1) ).
fof(f1026,plain,
( ~ relation(sK3)
| spl7_9 ),
inference(avatar_component_clause,[],[f1024]) ).
fof(f1024,plain,
( spl7_9
<=> relation(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_9])]) ).
fof(f1035,plain,
( ~ spl7_9
| ~ spl7_10
| ~ spl7_11 ),
inference(avatar_split_clause,[],[f442,f1032,f1028,f1024]) ).
fof(f442,plain,
( ~ subset(relation_rng(sK3),sK1)
| ~ subset(relation_dom(sK3),sK2)
| ~ relation(sK3) ),
inference(resolution,[],[f114,f47]) ).
fof(f47,plain,
! [X0] :
( subset(X0,cartesian_product2(relation_dom(X0),relation_rng(X0)))
| ~ relation(X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0] :
( subset(X0,cartesian_product2(relation_dom(X0),relation_rng(X0)))
| ~ relation(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( relation(X0)
=> subset(X0,cartesian_product2(relation_dom(X0),relation_rng(X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t21_relat_1) ).
fof(f114,plain,
! [X0,X1] :
( ~ subset(sK3,cartesian_product2(X0,X1))
| ~ subset(X1,sK1)
| ~ subset(X0,sK2) ),
inference(resolution,[],[f108,f63]) ).
fof(f63,plain,
! [X2,X3,X0,X1] :
( subset(cartesian_product2(X0,X2),cartesian_product2(X1,X3))
| ~ subset(X2,X3)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0,X1,X2,X3] :
( subset(cartesian_product2(X0,X2),cartesian_product2(X1,X3))
| ~ subset(X2,X3)
| ~ subset(X0,X1) ),
inference(flattening,[],[f31]) ).
fof(f31,plain,
! [X0,X1,X2,X3] :
( subset(cartesian_product2(X0,X2),cartesian_product2(X1,X3))
| ~ subset(X2,X3)
| ~ subset(X0,X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0,X1,X2,X3] :
( ( subset(X2,X3)
& subset(X0,X1) )
=> subset(cartesian_product2(X0,X2),cartesian_product2(X1,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t119_zfmisc_1) ).
fof(f108,plain,
! [X0] :
( ~ subset(X0,cartesian_product2(sK2,sK1))
| ~ subset(sK3,X0) ),
inference(resolution,[],[f88,f72]) ).
fof(f72,plain,
~ relation_of2(sK3,sK2,sK1),
inference(resolution,[],[f62,f46]) ).
fof(f46,plain,
~ relation_of2_as_subset(sK3,sK2,sK1),
inference(cnf_transformation,[],[f34]) ).
fof(f62,plain,
! [X2,X0,X1] :
( relation_of2_as_subset(X2,X0,X1)
| ~ relation_of2(X2,X0,X1) ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0,X1,X2] :
( ( relation_of2_as_subset(X2,X0,X1)
| ~ relation_of2(X2,X0,X1) )
& ( relation_of2(X2,X0,X1)
| ~ relation_of2_as_subset(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0,X1,X2] :
( relation_of2_as_subset(X2,X0,X1)
<=> relation_of2(X2,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f88,plain,
! [X2,X3,X0,X1] :
( relation_of2(X0,X1,X2)
| ~ subset(X3,cartesian_product2(X1,X2))
| ~ subset(X0,X3) ),
inference(resolution,[],[f60,f58]) ).
fof(f58,plain,
! [X2,X0,X1] :
( subset(X0,X2)
| ~ subset(X1,X2)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0,X1,X2] :
( subset(X0,X2)
| ~ subset(X1,X2)
| ~ subset(X0,X1) ),
inference(flattening,[],[f29]) ).
fof(f29,plain,
! [X0,X1,X2] :
( subset(X0,X2)
| ~ subset(X1,X2)
| ~ subset(X0,X1) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,axiom,
! [X0,X1,X2] :
( ( subset(X1,X2)
& subset(X0,X1) )
=> subset(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_xboole_1) ).
fof(f60,plain,
! [X2,X0,X1] :
( ~ subset(X2,cartesian_product2(X0,X1))
| relation_of2(X2,X0,X1) ),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0,X1,X2] :
( ( relation_of2(X2,X0,X1)
| ~ subset(X2,cartesian_product2(X0,X1)) )
& ( subset(X2,cartesian_product2(X0,X1))
| ~ relation_of2(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1,X2] :
( relation_of2(X2,X0,X1)
<=> subset(X2,cartesian_product2(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_relset_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SEU263+1 : TPTP v8.1.2. Released v3.3.0.
% 0.04/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n019.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Mon Apr 29 20:43:44 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.37 % (15687)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.39 % (15688)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.22/0.39 TRYING [1]
% 0.22/0.39 TRYING [2]
% 0.22/0.40 TRYING [3]
% 0.22/0.40 % (15694)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.22/0.40 % (15691)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.22/0.40 % (15693)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.22/0.40 % (15689)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.22/0.40 % (15692)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.22/0.40 % (15690)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.22/0.40 TRYING [1]
% 0.22/0.40 TRYING [1,1]
% 0.22/0.40 TRYING [2]
% 0.22/0.40 TRYING [1,1]
% 0.22/0.40 TRYING [2,1]
% 0.22/0.40 TRYING [2,1]
% 0.22/0.40 TRYING [4]
% 0.22/0.40 TRYING [3]
% 0.22/0.40 TRYING [3,1]
% 0.22/0.40 TRYING [3,1]
% 0.22/0.41 TRYING [2,2]
% 0.22/0.41 TRYING [2,2]
% 0.22/0.41 TRYING [3,2]
% 0.22/0.41 TRYING [3,2]
% 0.22/0.41 TRYING [4]
% 0.22/0.42 TRYING [4,1]
% 0.22/0.42 TRYING [4,1]
% 0.22/0.43 % (15690)First to succeed.
% 0.22/0.43 TRYING [4,2]
% 0.22/0.43 TRYING [4,2]
% 0.22/0.43 % (15690)Refutation found. Thanks to Tanya!
% 0.22/0.43 % SZS status Theorem for theBenchmark
% 0.22/0.43 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.43 % (15690)------------------------------
% 0.22/0.43 % (15690)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.22/0.43 % (15690)Termination reason: Refutation
% 0.22/0.43
% 0.22/0.43 % (15690)Memory used [KB]: 1074
% 0.22/0.43 % (15690)Time elapsed: 0.037 s
% 0.22/0.43 % (15690)Instructions burned: 32 (million)
% 0.22/0.43 % (15690)------------------------------
% 0.22/0.43 % (15690)------------------------------
% 0.22/0.43 % (15687)Success in time 0.066 s
%------------------------------------------------------------------------------