TSTP Solution File: SEU239+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SEU239+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n004.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 Aug 31 18:27:52 EDT 2022
% Result : Theorem 0.19s 0.50s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 53 ( 7 unt; 0 def)
% Number of atoms : 133 ( 5 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 139 ( 59 ~; 61 |; 1 &)
% ( 10 <=>; 7 =>; 0 <=; 1 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 5 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 46 ( 45 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f229,plain,
$false,
inference(avatar_sat_refutation,[],[f111,f116,f122,f205,f217,f225]) ).
fof(f225,plain,
( spl9_2
| ~ spl9_1 ),
inference(avatar_split_clause,[],[f224,f105,f109]) ).
fof(f109,plain,
( spl9_2
<=> ! [X1] :
( in(unordered_pair(singleton(X1),unordered_pair(X1,X1)),sK4)
| ~ in(X1,relation_field(sK4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_2])]) ).
fof(f105,plain,
( spl9_1
<=> reflexive(sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_1])]) ).
fof(f224,plain,
( ! [X0] :
( ~ in(X0,relation_field(sK4))
| in(unordered_pair(singleton(X0),unordered_pair(X0,X0)),sK4) )
| ~ spl9_1 ),
inference(forward_demodulation,[],[f223,f86]) ).
fof(f86,plain,
! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X1,X0] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X1,X0] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k2_tarski) ).
fof(f223,plain,
( ! [X0] :
( in(unordered_pair(unordered_pair(X0,X0),singleton(X0)),sK4)
| ~ in(X0,relation_field(sK4)) )
| ~ spl9_1 ),
inference(subsumption_resolution,[],[f222,f83]) ).
fof(f83,plain,
relation(sK4),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
? [X0] :
( ( ! [X1] :
( in(ordered_pair(X1,X1),X0)
| ~ in(X1,relation_field(X0)) )
<~> reflexive(X0) )
& relation(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,negated_conjecture,
~ ! [X0] :
( relation(X0)
=> ( reflexive(X0)
<=> ! [X1] :
( in(X1,relation_field(X0))
=> in(ordered_pair(X1,X1),X0) ) ) ),
inference(negated_conjecture,[],[f25]) ).
fof(f25,conjecture,
! [X0] :
( relation(X0)
=> ( reflexive(X0)
<=> ! [X1] :
( in(X1,relation_field(X0))
=> in(ordered_pair(X1,X1),X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l1_wellord1) ).
fof(f222,plain,
( ! [X0] :
( ~ in(X0,relation_field(sK4))
| ~ relation(sK4)
| in(unordered_pair(unordered_pair(X0,X0),singleton(X0)),sK4) )
| ~ spl9_1 ),
inference(resolution,[],[f206,f99]) ).
fof(f99,plain,
! [X2,X0,X1] :
( ~ is_reflexive_in(X0,X1)
| ~ relation(X0)
| in(unordered_pair(unordered_pair(X2,X2),singleton(X2)),X0)
| ~ in(X2,X1) ),
inference(definition_unfolding,[],[f70,f74]) ).
fof(f74,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X1,X0] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_tarski) ).
fof(f70,plain,
! [X2,X0,X1] :
( ~ relation(X0)
| ~ in(X2,X1)
| in(ordered_pair(X2,X2),X0)
| ~ is_reflexive_in(X0,X1) ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0] :
( ! [X1] :
( is_reflexive_in(X0,X1)
<=> ! [X2] :
( in(ordered_pair(X2,X2),X0)
| ~ in(X2,X1) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( ! [X2] :
( in(X2,X1)
=> in(ordered_pair(X2,X2),X0) )
<=> is_reflexive_in(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_relat_2) ).
fof(f206,plain,
( is_reflexive_in(sK4,relation_field(sK4))
| ~ spl9_1 ),
inference(unit_resulting_resolution,[],[f83,f107,f69]) ).
fof(f69,plain,
! [X0] :
( is_reflexive_in(X0,relation_field(X0))
| ~ reflexive(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0] :
( ( reflexive(X0)
<=> is_reflexive_in(X0,relation_field(X0)) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0] :
( relation(X0)
=> ( reflexive(X0)
<=> is_reflexive_in(X0,relation_field(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d9_relat_2) ).
fof(f107,plain,
( reflexive(sK4)
| ~ spl9_1 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f217,plain,
( spl9_4
| ~ spl9_2
| ~ spl9_3 ),
inference(avatar_split_clause,[],[f209,f113,f109,f119]) ).
fof(f119,plain,
( spl9_4
<=> in(unordered_pair(singleton(sK5),unordered_pair(sK5,sK5)),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_4])]) ).
fof(f113,plain,
( spl9_3
<=> in(sK5,relation_field(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_3])]) ).
fof(f209,plain,
( in(unordered_pair(singleton(sK5),unordered_pair(sK5,sK5)),sK4)
| ~ spl9_2
| ~ spl9_3 ),
inference(unit_resulting_resolution,[],[f115,f110]) ).
fof(f110,plain,
( ! [X1] :
( in(unordered_pair(singleton(X1),unordered_pair(X1,X1)),sK4)
| ~ in(X1,relation_field(sK4)) )
| ~ spl9_2 ),
inference(avatar_component_clause,[],[f109]) ).
fof(f115,plain,
( in(sK5,relation_field(sK4))
| ~ spl9_3 ),
inference(avatar_component_clause,[],[f113]) ).
fof(f205,plain,
( spl9_1
| ~ spl9_2 ),
inference(avatar_contradiction_clause,[],[f204]) ).
fof(f204,plain,
( $false
| spl9_1
| ~ spl9_2 ),
inference(subsumption_resolution,[],[f200,f127]) ).
fof(f127,plain,
( in(sK2(sK4,relation_field(sK4)),relation_field(sK4))
| spl9_1 ),
inference(unit_resulting_resolution,[],[f83,f125,f71]) ).
fof(f71,plain,
! [X0,X1] :
( is_reflexive_in(X0,X1)
| ~ relation(X0)
| in(sK2(X0,X1),X1) ),
inference(cnf_transformation,[],[f53]) ).
fof(f125,plain,
( ~ is_reflexive_in(sK4,relation_field(sK4))
| spl9_1 ),
inference(unit_resulting_resolution,[],[f83,f106,f68]) ).
fof(f68,plain,
! [X0] :
( ~ is_reflexive_in(X0,relation_field(X0))
| reflexive(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f49]) ).
fof(f106,plain,
( ~ reflexive(sK4)
| spl9_1 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f200,plain,
( ~ in(sK2(sK4,relation_field(sK4)),relation_field(sK4))
| spl9_1
| ~ spl9_2 ),
inference(resolution,[],[f131,f110]) ).
fof(f131,plain,
( ~ in(unordered_pair(singleton(sK2(sK4,relation_field(sK4))),unordered_pair(sK2(sK4,relation_field(sK4)),sK2(sK4,relation_field(sK4)))),sK4)
| spl9_1 ),
inference(forward_demodulation,[],[f128,f86]) ).
fof(f128,plain,
( ~ in(unordered_pair(unordered_pair(sK2(sK4,relation_field(sK4)),sK2(sK4,relation_field(sK4))),singleton(sK2(sK4,relation_field(sK4)))),sK4)
| spl9_1 ),
inference(unit_resulting_resolution,[],[f83,f125,f98]) ).
fof(f98,plain,
! [X0,X1] :
( ~ in(unordered_pair(unordered_pair(sK2(X0,X1),sK2(X0,X1)),singleton(sK2(X0,X1))),X0)
| ~ relation(X0)
| is_reflexive_in(X0,X1) ),
inference(definition_unfolding,[],[f72,f74]) ).
fof(f72,plain,
! [X0,X1] :
( ~ relation(X0)
| ~ in(ordered_pair(sK2(X0,X1),sK2(X0,X1)),X0)
| is_reflexive_in(X0,X1) ),
inference(cnf_transformation,[],[f53]) ).
fof(f122,plain,
( ~ spl9_1
| ~ spl9_4 ),
inference(avatar_split_clause,[],[f117,f119,f105]) ).
fof(f117,plain,
( ~ in(unordered_pair(singleton(sK5),unordered_pair(sK5,sK5)),sK4)
| ~ reflexive(sK4) ),
inference(forward_demodulation,[],[f101,f86]) ).
fof(f101,plain,
( ~ in(unordered_pair(unordered_pair(sK5,sK5),singleton(sK5)),sK4)
| ~ reflexive(sK4) ),
inference(definition_unfolding,[],[f81,f74]) ).
fof(f81,plain,
( ~ reflexive(sK4)
| ~ in(ordered_pair(sK5,sK5),sK4) ),
inference(cnf_transformation,[],[f51]) ).
fof(f116,plain,
( ~ spl9_1
| spl9_3 ),
inference(avatar_split_clause,[],[f80,f113,f105]) ).
fof(f80,plain,
( in(sK5,relation_field(sK4))
| ~ reflexive(sK4) ),
inference(cnf_transformation,[],[f51]) ).
fof(f111,plain,
( spl9_1
| spl9_2 ),
inference(avatar_split_clause,[],[f103,f109,f105]) ).
fof(f103,plain,
! [X1] :
( in(unordered_pair(singleton(X1),unordered_pair(X1,X1)),sK4)
| ~ in(X1,relation_field(sK4))
| reflexive(sK4) ),
inference(forward_demodulation,[],[f100,f86]) ).
fof(f100,plain,
! [X1] :
( ~ in(X1,relation_field(sK4))
| in(unordered_pair(unordered_pair(X1,X1),singleton(X1)),sK4)
| reflexive(sK4) ),
inference(definition_unfolding,[],[f82,f74]) ).
fof(f82,plain,
! [X1] :
( reflexive(sK4)
| ~ in(X1,relation_field(sK4))
| in(ordered_pair(X1,X1),sK4) ),
inference(cnf_transformation,[],[f51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEU239+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.34 % Computer : n004.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 : Tue Aug 30 14:52:49 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.19/0.48 % (26380)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.19/0.49 % (26380)First to succeed.
% 0.19/0.49 % (26388)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.50 % (26380)Refutation found. Thanks to Tanya!
% 0.19/0.50 % SZS status Theorem for theBenchmark
% 0.19/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.50 % (26380)------------------------------
% 0.19/0.50 % (26380)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (26380)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (26380)Termination reason: Refutation
% 0.19/0.50
% 0.19/0.50 % (26380)Memory used [KB]: 6012
% 0.19/0.50 % (26380)Time elapsed: 0.080 s
% 0.19/0.50 % (26380)Instructions burned: 6 (million)
% 0.19/0.50 % (26380)------------------------------
% 0.19/0.50 % (26380)------------------------------
% 0.19/0.50 % (26371)Success in time 0.147 s
%------------------------------------------------------------------------------