TSTP Solution File: SET185+3 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET185+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n016.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 18:24:06 EDT 2022
% Result : Theorem 0.18s 0.49s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of formulae : 48 ( 10 unt; 0 def)
% Number of atoms : 103 ( 18 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 88 ( 33 ~; 39 |; 1 &)
% ( 11 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 5 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 46 ( 44 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f591,plain,
$false,
inference(avatar_sat_refutation,[],[f516,f554,f582,f586,f589,f590]) ).
fof(f590,plain,
( spl5_10
| ~ spl5_11 ),
inference(avatar_split_clause,[],[f588,f513,f504]) ).
fof(f504,plain,
( spl5_10
<=> member(sK0(sF4,sK1),sF4) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_10])]) ).
fof(f513,plain,
( spl5_11
<=> member(sK0(sF4,sK1),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_11])]) ).
fof(f588,plain,
( member(sK0(sF4,sK1),sF4)
| ~ spl5_11 ),
inference(resolution,[],[f515,f41]) ).
fof(f41,plain,
! [X0] :
( ~ member(X0,sK1)
| member(X0,sF4) ),
inference(superposition,[],[f23,f35]) ).
fof(f35,plain,
sF4 = union(sK2,sK1),
introduced(function_definition,[]) ).
fof(f23,plain,
! [X2,X0,X1] :
( member(X0,union(X2,X1))
| ~ member(X0,X1) ),
inference(cnf_transformation,[],[f9]) ).
fof(f9,plain,
! [X1,X2,X0] :
( member(X0,union(X2,X1))
<=> ( member(X0,X2)
| member(X0,X1) ) ),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
! [X2,X1,X0] :
( member(X2,union(X0,X1))
<=> ( member(X2,X0)
| member(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',union_defn) ).
fof(f515,plain,
( member(sK0(sF4,sK1),sK1)
| ~ spl5_11 ),
inference(avatar_component_clause,[],[f513]) ).
fof(f589,plain,
( ~ spl5_10
| spl5_4
| ~ spl5_11 ),
inference(avatar_split_clause,[],[f587,f513,f77,f504]) ).
fof(f77,plain,
( spl5_4
<=> sF4 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl5_4])]) ).
fof(f587,plain,
( sF4 = sK1
| ~ member(sK0(sF4,sK1),sF4)
| ~ spl5_11 ),
inference(resolution,[],[f515,f17]) ).
fof(f17,plain,
! [X0,X1] :
( ~ member(sK0(X0,X1),X1)
| X0 = X1
| ~ member(sK0(X0,X1),X0) ),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0,X1] :
( X0 = X1
<=> ! [X2] :
( member(X2,X0)
<=> member(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equal_member_defn) ).
fof(f586,plain,
( spl5_11
| ~ spl5_13 ),
inference(avatar_split_clause,[],[f584,f579,f513]) ).
fof(f579,plain,
( spl5_13
<=> member(sK0(sF4,sK1),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_13])]) ).
fof(f584,plain,
( member(sK0(sF4,sK1),sK1)
| ~ spl5_13 ),
inference(resolution,[],[f581,f90]) ).
fof(f90,plain,
! [X0] :
( ~ member(X0,sK2)
| member(X0,sK1) ),
inference(resolution,[],[f30,f26]) ).
fof(f26,plain,
subset(sK2,sK1),
inference(cnf_transformation,[],[f12]) ).
fof(f12,plain,
? [X1,X0] :
( union(X0,X1) != X1
& subset(X0,X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,negated_conjecture,
~ ! [X1,X0] :
( subset(X0,X1)
=> union(X0,X1) = X1 ),
inference(negated_conjecture,[],[f7]) ).
fof(f7,conjecture,
! [X1,X0] :
( subset(X0,X1)
=> union(X0,X1) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_subset_union) ).
fof(f30,plain,
! [X2,X0,X1] :
( ~ subset(X1,X0)
| member(X2,X0)
| ~ member(X2,X1) ),
inference(cnf_transformation,[],[f13]) ).
fof(f13,plain,
! [X1,X0] :
( ! [X2] :
( ~ member(X2,X1)
| member(X2,X0) )
<=> subset(X1,X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,plain,
! [X1,X0] :
( ! [X2] :
( member(X2,X1)
=> member(X2,X0) )
<=> subset(X1,X0) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X1,X0] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X0)
=> member(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset_defn) ).
fof(f581,plain,
( member(sK0(sF4,sK1),sK2)
| ~ spl5_13 ),
inference(avatar_component_clause,[],[f579]) ).
fof(f582,plain,
( spl5_11
| spl5_13
| ~ spl5_10 ),
inference(avatar_split_clause,[],[f577,f504,f579,f513]) ).
fof(f577,plain,
( member(sK0(sF4,sK1),sK2)
| member(sK0(sF4,sK1),sK1)
| ~ spl5_10 ),
inference(resolution,[],[f505,f104]) ).
fof(f104,plain,
! [X7] :
( ~ member(X7,sF4)
| member(X7,sK1)
| member(X7,sK2) ),
inference(superposition,[],[f22,f39]) ).
fof(f39,plain,
sF4 = union(sK1,sK2),
inference(superposition,[],[f35,f18]) ).
fof(f18,plain,
! [X0,X1] : union(X0,X1) = union(X1,X0),
inference(cnf_transformation,[],[f10]) ).
fof(f10,plain,
! [X0,X1] : union(X0,X1) = union(X1,X0),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X1,X0] : union(X0,X1) = union(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_union) ).
fof(f22,plain,
! [X2,X0,X1] :
( ~ member(X0,union(X2,X1))
| member(X0,X2)
| member(X0,X1) ),
inference(cnf_transformation,[],[f9]) ).
fof(f505,plain,
( member(sK0(sF4,sK1),sF4)
| ~ spl5_10 ),
inference(avatar_component_clause,[],[f504]) ).
fof(f554,plain,
~ spl5_4,
inference(avatar_contradiction_clause,[],[f553]) ).
fof(f553,plain,
( $false
| ~ spl5_4 ),
inference(trivial_inequality_removal,[],[f525]) ).
fof(f525,plain,
( sK1 != sK1
| ~ spl5_4 ),
inference(superposition,[],[f36,f79]) ).
fof(f79,plain,
( sF4 = sK1
| ~ spl5_4 ),
inference(avatar_component_clause,[],[f77]) ).
fof(f36,plain,
sF4 != sK1,
inference(definition_folding,[],[f27,f35]) ).
fof(f27,plain,
sK1 != union(sK2,sK1),
inference(cnf_transformation,[],[f12]) ).
fof(f516,plain,
( spl5_11
| spl5_4
| spl5_10 ),
inference(avatar_split_clause,[],[f510,f504,f77,f513]) ).
fof(f510,plain,
( sF4 = sK1
| member(sK0(sF4,sK1),sK1)
| spl5_10 ),
inference(resolution,[],[f506,f16]) ).
fof(f16,plain,
! [X0,X1] :
( member(sK0(X0,X1),X1)
| member(sK0(X0,X1),X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f6]) ).
fof(f506,plain,
( ~ member(sK0(sF4,sK1),sF4)
| spl5_10 ),
inference(avatar_component_clause,[],[f504]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SET185+3 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33 % Computer : n016.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 30 13:48:01 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.47 % (4985)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.18/0.47 % (4977)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.18/0.48 % (4977)First to succeed.
% 0.18/0.49 % (4977)Refutation found. Thanks to Tanya!
% 0.18/0.49 % SZS status Theorem for theBenchmark
% 0.18/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.49 % (4977)------------------------------
% 0.18/0.49 % (4977)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.49 % (4977)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.49 % (4977)Termination reason: Refutation
% 0.18/0.49
% 0.18/0.49 % (4977)Memory used [KB]: 5628
% 0.18/0.49 % (4977)Time elapsed: 0.091 s
% 0.18/0.49 % (4977)Instructions burned: 16 (million)
% 0.18/0.49 % (4977)------------------------------
% 0.18/0.49 % (4977)------------------------------
% 0.18/0.49 % (4965)Success in time 0.15 s
%------------------------------------------------------------------------------