TSTP Solution File: SEU444+1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SEU444+1 : TPTP v8.1.0. Released v3.4.0.
% 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 : n023.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 18:30:39 EDT 2022
% Result : Theorem 0.20s 0.49s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 29 ( 4 unt; 0 def)
% Number of atoms : 70 ( 34 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 69 ( 28 ~; 21 |; 12 &)
% ( 2 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-4 aty)
% Number of variables : 36 ( 27 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f142,plain,
$false,
inference(avatar_sat_refutation,[],[f102,f122,f141]) ).
fof(f141,plain,
spl7_2,
inference(avatar_contradiction_clause,[],[f140]) ).
fof(f140,plain,
( $false
| spl7_2 ),
inference(subsumption_resolution,[],[f139,f83]) ).
fof(f83,plain,
m2_relset_1(sK1,sK2,sK3),
inference(cnf_transformation,[],[f68]) ).
fof(f68,plain,
( ( k10_relset_1(sK3,sK2,k6_relset_1(sK2,sK3,sK1),sK3) != k1_funct_5(sK1)
| k10_relset_1(sK3,sK2,k6_relset_1(sK2,sK3,sK1),k10_relset_1(sK2,sK3,sK1,sK2)) != k10_relset_1(sK3,sK2,k6_relset_1(sK2,sK3,sK1),k2_funct_5(sK1)) )
& m2_relset_1(sK1,sK2,sK3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3])],[f66,f67]) ).
fof(f67,plain,
( ? [X0,X1,X2] :
( ( k1_funct_5(X0) != k10_relset_1(X2,X1,k6_relset_1(X1,X2,X0),X2)
| k10_relset_1(X2,X1,k6_relset_1(X1,X2,X0),k2_funct_5(X0)) != k10_relset_1(X2,X1,k6_relset_1(X1,X2,X0),k10_relset_1(X1,X2,X0,X1)) )
& m2_relset_1(X0,X1,X2) )
=> ( ( k10_relset_1(sK3,sK2,k6_relset_1(sK2,sK3,sK1),sK3) != k1_funct_5(sK1)
| k10_relset_1(sK3,sK2,k6_relset_1(sK2,sK3,sK1),k10_relset_1(sK2,sK3,sK1,sK2)) != k10_relset_1(sK3,sK2,k6_relset_1(sK2,sK3,sK1),k2_funct_5(sK1)) )
& m2_relset_1(sK1,sK2,sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f66,plain,
? [X0,X1,X2] :
( ( k1_funct_5(X0) != k10_relset_1(X2,X1,k6_relset_1(X1,X2,X0),X2)
| k10_relset_1(X2,X1,k6_relset_1(X1,X2,X0),k2_funct_5(X0)) != k10_relset_1(X2,X1,k6_relset_1(X1,X2,X0),k10_relset_1(X1,X2,X0,X1)) )
& m2_relset_1(X0,X1,X2) ),
inference(rectify,[],[f58]) ).
fof(f58,plain,
? [X1,X2,X0] :
( ( k1_funct_5(X1) != k10_relset_1(X0,X2,k6_relset_1(X2,X0,X1),X0)
| k10_relset_1(X0,X2,k6_relset_1(X2,X0,X1),k10_relset_1(X2,X0,X1,X2)) != k10_relset_1(X0,X2,k6_relset_1(X2,X0,X1),k2_funct_5(X1)) )
& m2_relset_1(X1,X2,X0) ),
inference(ennf_transformation,[],[f47]) ).
fof(f47,plain,
~ ! [X2,X0,X1] :
( m2_relset_1(X1,X2,X0)
=> ( k1_funct_5(X1) = k10_relset_1(X0,X2,k6_relset_1(X2,X0,X1),X0)
& k10_relset_1(X0,X2,k6_relset_1(X2,X0,X1),k10_relset_1(X2,X0,X1,X2)) = k10_relset_1(X0,X2,k6_relset_1(X2,X0,X1),k2_funct_5(X1)) ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0,X2,X1] :
( m2_relset_1(X2,X1,X0)
=> ( k10_relset_1(X0,X1,k6_relset_1(X1,X0,X2),k10_relset_1(X1,X0,X2,X1)) = k10_relset_1(X0,X1,k6_relset_1(X1,X0,X2),k2_funct_5(X2))
& k1_funct_5(X2) = k10_relset_1(X0,X1,k6_relset_1(X1,X0,X2),X0) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0,X2,X1] :
( m2_relset_1(X2,X1,X0)
=> ( k10_relset_1(X0,X1,k6_relset_1(X1,X0,X2),k10_relset_1(X1,X0,X2,X1)) = k10_relset_1(X0,X1,k6_relset_1(X1,X0,X2),k2_funct_5(X2))
& k1_funct_5(X2) = k10_relset_1(X0,X1,k6_relset_1(X1,X0,X2),X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t56_relset_2) ).
fof(f139,plain,
( ~ m2_relset_1(sK1,sK2,sK3)
| spl7_2 ),
inference(trivial_inequality_removal,[],[f138]) ).
fof(f138,plain,
( k1_funct_5(sK1) != k1_funct_5(sK1)
| ~ m2_relset_1(sK1,sK2,sK3)
| spl7_2 ),
inference(superposition,[],[f101,f81]) ).
fof(f81,plain,
! [X2,X0,X1] :
( k1_funct_5(X2) = k10_relset_1(X0,X1,k6_relset_1(X1,X0,X2),X0)
| ~ m2_relset_1(X2,X1,X0) ),
inference(cnf_transformation,[],[f65]) ).
fof(f65,plain,
! [X0,X1,X2] :
( ( k10_relset_1(X1,X0,X2,X1) = k2_funct_5(X2)
& k1_funct_5(X2) = k10_relset_1(X0,X1,k6_relset_1(X1,X0,X2),X0) )
| ~ m2_relset_1(X2,X1,X0) ),
inference(rectify,[],[f60]) ).
fof(f60,plain,
! [X2,X0,X1] :
( ( k2_funct_5(X1) = k10_relset_1(X0,X2,X1,X0)
& k1_funct_5(X1) = k10_relset_1(X2,X0,k6_relset_1(X0,X2,X1),X2) )
| ~ m2_relset_1(X1,X0,X2) ),
inference(ennf_transformation,[],[f48]) ).
fof(f48,plain,
! [X1,X2,X0] :
( m2_relset_1(X1,X0,X2)
=> ( k2_funct_5(X1) = k10_relset_1(X0,X2,X1,X0)
& k1_funct_5(X1) = k10_relset_1(X2,X0,k6_relset_1(X0,X2,X1),X2) ) ),
inference(rectify,[],[f46]) ).
fof(f46,axiom,
! [X1,X2,X0] :
( m2_relset_1(X2,X1,X0)
=> ( k10_relset_1(X1,X0,X2,X1) = k2_funct_5(X2)
& k1_funct_5(X2) = k10_relset_1(X0,X1,k6_relset_1(X1,X0,X2),X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t51_relset_2) ).
fof(f101,plain,
( k10_relset_1(sK3,sK2,k6_relset_1(sK2,sK3,sK1),sK3) != k1_funct_5(sK1)
| spl7_2 ),
inference(avatar_component_clause,[],[f99]) ).
fof(f99,plain,
( spl7_2
<=> k10_relset_1(sK3,sK2,k6_relset_1(sK2,sK3,sK1),sK3) = k1_funct_5(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_2])]) ).
fof(f122,plain,
spl7_1,
inference(avatar_contradiction_clause,[],[f121]) ).
fof(f121,plain,
( $false
| spl7_1 ),
inference(subsumption_resolution,[],[f120,f83]) ).
fof(f120,plain,
( ~ m2_relset_1(sK1,sK2,sK3)
| spl7_1 ),
inference(trivial_inequality_removal,[],[f119]) ).
fof(f119,plain,
( ~ m2_relset_1(sK1,sK2,sK3)
| k10_relset_1(sK3,sK2,k6_relset_1(sK2,sK3,sK1),k2_funct_5(sK1)) != k10_relset_1(sK3,sK2,k6_relset_1(sK2,sK3,sK1),k2_funct_5(sK1))
| spl7_1 ),
inference(superposition,[],[f97,f82]) ).
fof(f82,plain,
! [X2,X0,X1] :
( k10_relset_1(X1,X0,X2,X1) = k2_funct_5(X2)
| ~ m2_relset_1(X2,X1,X0) ),
inference(cnf_transformation,[],[f65]) ).
fof(f97,plain,
( k10_relset_1(sK3,sK2,k6_relset_1(sK2,sK3,sK1),k10_relset_1(sK2,sK3,sK1,sK2)) != k10_relset_1(sK3,sK2,k6_relset_1(sK2,sK3,sK1),k2_funct_5(sK1))
| spl7_1 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f95,plain,
( spl7_1
<=> k10_relset_1(sK3,sK2,k6_relset_1(sK2,sK3,sK1),k10_relset_1(sK2,sK3,sK1,sK2)) = k10_relset_1(sK3,sK2,k6_relset_1(sK2,sK3,sK1),k2_funct_5(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_1])]) ).
fof(f102,plain,
( ~ spl7_1
| ~ spl7_2 ),
inference(avatar_split_clause,[],[f84,f99,f95]) ).
fof(f84,plain,
( k10_relset_1(sK3,sK2,k6_relset_1(sK2,sK3,sK1),sK3) != k1_funct_5(sK1)
| k10_relset_1(sK3,sK2,k6_relset_1(sK2,sK3,sK1),k10_relset_1(sK2,sK3,sK1,sK2)) != k10_relset_1(sK3,sK2,k6_relset_1(sK2,sK3,sK1),k2_funct_5(sK1)) ),
inference(cnf_transformation,[],[f68]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SEU444+1 : TPTP v8.1.0. Released v3.4.0.
% 0.13/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35 % Computer : n023.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 16:00:50 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.47 % (26902)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.47 % (26902)Instruction limit reached!
% 0.20/0.47 % (26902)------------------------------
% 0.20/0.47 % (26902)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.47 % (26902)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.47 % (26902)Termination reason: Unknown
% 0.20/0.47 % (26902)Termination phase: Saturation
% 0.20/0.47
% 0.20/0.47 % (26902)Memory used [KB]: 1407
% 0.20/0.47 % (26902)Time elapsed: 0.003 s
% 0.20/0.47 % (26902)Instructions burned: 3 (million)
% 0.20/0.47 % (26902)------------------------------
% 0.20/0.47 % (26902)------------------------------
% 0.20/0.48 % (26893)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.48 % (26893)First to succeed.
% 0.20/0.49 % (26889)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.49 % (26893)Refutation found. Thanks to Tanya!
% 0.20/0.49 % SZS status Theorem for theBenchmark
% 0.20/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.49 % (26893)------------------------------
% 0.20/0.49 % (26893)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49 % (26893)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49 % (26893)Termination reason: Refutation
% 0.20/0.49
% 0.20/0.49 % (26893)Memory used [KB]: 6012
% 0.20/0.49 % (26893)Time elapsed: 0.082 s
% 0.20/0.49 % (26893)Instructions burned: 3 (million)
% 0.20/0.49 % (26893)------------------------------
% 0.20/0.49 % (26893)------------------------------
% 0.20/0.49 % (26884)Success in time 0.133 s
%------------------------------------------------------------------------------