TSTP Solution File: SEU097+1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SEU097+1 : TPTP v8.1.0. Released v3.2.0.
% 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 : n025.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 18:31:55 EDT 2022
% Result : Theorem 0.20s 0.50s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 28 ( 10 unt; 0 def)
% Number of atoms : 61 ( 3 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 57 ( 24 ~; 12 |; 14 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 36 ( 30 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f474,plain,
$false,
inference(subsumption_resolution,[],[f472,f212]) ).
fof(f212,plain,
finite(sK0),
inference(cnf_transformation,[],[f149]) ).
fof(f149,plain,
( finite(sK1)
& ~ finite(symmetric_difference(sK0,sK1))
& finite(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f126,f148]) ).
fof(f148,plain,
( ? [X0,X1] :
( finite(X1)
& ~ finite(symmetric_difference(X0,X1))
& finite(X0) )
=> ( finite(sK1)
& ~ finite(symmetric_difference(sK0,sK1))
& finite(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f126,plain,
? [X0,X1] :
( finite(X1)
& ~ finite(symmetric_difference(X0,X1))
& finite(X0) ),
inference(flattening,[],[f125]) ).
fof(f125,plain,
? [X0,X1] :
( ~ finite(symmetric_difference(X0,X1))
& finite(X1)
& finite(X0) ),
inference(ennf_transformation,[],[f61]) ).
fof(f61,negated_conjecture,
~ ! [X0,X1] :
( ( finite(X1)
& finite(X0) )
=> finite(symmetric_difference(X0,X1)) ),
inference(negated_conjecture,[],[f60]) ).
fof(f60,conjecture,
! [X0,X1] :
( ( finite(X1)
& finite(X0) )
=> finite(symmetric_difference(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t28_finset_1) ).
fof(f472,plain,
~ finite(sK0),
inference(resolution,[],[f471,f252]) ).
fof(f252,plain,
! [X0,X1] :
( finite(set_difference(X1,X0))
| ~ finite(X1) ),
inference(cnf_transformation,[],[f141]) ).
fof(f141,plain,
! [X0,X1] :
( finite(set_difference(X1,X0))
| ~ finite(X1) ),
inference(ennf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0,X1] :
( finite(X1)
=> finite(set_difference(X1,X0)) ),
inference(rectify,[],[f57]) ).
fof(f57,axiom,
! [X1,X0] :
( finite(X0)
=> finite(set_difference(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t16_finset_1) ).
fof(f471,plain,
~ finite(set_difference(sK0,sK1)),
inference(subsumption_resolution,[],[f469,f214]) ).
fof(f214,plain,
finite(sK1),
inference(cnf_transformation,[],[f149]) ).
fof(f469,plain,
( ~ finite(sK1)
| ~ finite(set_difference(sK0,sK1)) ),
inference(resolution,[],[f446,f252]) ).
fof(f446,plain,
( ~ finite(set_difference(sK1,sK0))
| ~ finite(set_difference(sK0,sK1)) ),
inference(resolution,[],[f256,f346]) ).
fof(f346,plain,
~ finite(set_union2(set_difference(sK0,sK1),set_difference(sK1,sK0))),
inference(definition_unfolding,[],[f213,f239]) ).
fof(f239,plain,
! [X0,X1] : symmetric_difference(X1,X0) = set_union2(set_difference(X1,X0),set_difference(X0,X1)),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
! [X0,X1] : symmetric_difference(X1,X0) = set_union2(set_difference(X1,X0),set_difference(X0,X1)),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X1,X0] : symmetric_difference(X0,X1) = set_union2(set_difference(X0,X1),set_difference(X1,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d6_xboole_0) ).
fof(f213,plain,
~ finite(symmetric_difference(sK0,sK1)),
inference(cnf_transformation,[],[f149]) ).
fof(f256,plain,
! [X0,X1] :
( finite(set_union2(X0,X1))
| ~ finite(X1)
| ~ finite(X0) ),
inference(cnf_transformation,[],[f165]) ).
fof(f165,plain,
! [X0,X1] :
( ~ finite(X1)
| finite(set_union2(X0,X1))
| ~ finite(X0) ),
inference(rectify,[],[f107]) ).
fof(f107,plain,
! [X1,X0] :
( ~ finite(X0)
| finite(set_union2(X1,X0))
| ~ finite(X1) ),
inference(flattening,[],[f106]) ).
fof(f106,plain,
! [X0,X1] :
( finite(set_union2(X1,X0))
| ~ finite(X0)
| ~ finite(X1) ),
inference(ennf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0,X1] :
( ( finite(X0)
& finite(X1) )
=> finite(set_union2(X1,X0)) ),
inference(rectify,[],[f28]) ).
fof(f28,axiom,
! [X1,X0] :
( ( finite(X1)
& finite(X0) )
=> finite(set_union2(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc9_finset_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SEU097+1 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n025.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 14:47:15 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.48 % (17026)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.48 % (17034)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 (2999ds/100Mi)
% 0.20/0.49 % (17034)First to succeed.
% 0.20/0.50 % (17034)Refutation found. Thanks to Tanya!
% 0.20/0.50 % SZS status Theorem for theBenchmark
% 0.20/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.50 % (17034)------------------------------
% 0.20/0.50 % (17034)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (17034)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (17034)Termination reason: Refutation
% 0.20/0.50
% 0.20/0.50 % (17034)Memory used [KB]: 1151
% 0.20/0.50 % (17034)Time elapsed: 0.065 s
% 0.20/0.50 % (17034)Instructions burned: 7 (million)
% 0.20/0.50 % (17034)------------------------------
% 0.20/0.50 % (17034)------------------------------
% 0.20/0.50 % (17014)Success in time 0.147 s
%------------------------------------------------------------------------------