TSTP Solution File: SET516-6 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SET516-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 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 15:08:29 EDT 2024
% Result : Unsatisfiable 0.16s 0.50s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 12
% Syntax : Number of formulae : 61 ( 18 unt; 0 def)
% Number of atoms : 120 ( 53 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 100 ( 41 ~; 59 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-2 aty)
% Number of variables : 43 ( 43 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3546,plain,
$false,
inference(resolution,[],[f3524,f1967]) ).
fof(f1967,plain,
member(null_class,universal_class),
inference(backward_demodulation,[],[f120,f1965]) ).
fof(f1965,plain,
null_class = x,
inference(duplicate_literal_removal,[],[f1955]) ).
fof(f1955,plain,
( null_class = x
| null_class = x ),
inference(resolution,[],[f1951,f370]) ).
fof(f370,plain,
( member(x,x)
| null_class = x ),
inference(duplicate_literal_removal,[],[f369]) ).
fof(f369,plain,
( member(x,x)
| null_class = x
| null_class = x ),
inference(superposition,[],[f66,f359]) ).
fof(f359,plain,
( x = regular(x)
| null_class = x ),
inference(resolution,[],[f355,f66]) ).
fof(f355,plain,
! [X0] :
( ~ member(X0,x)
| x = X0 ),
inference(superposition,[],[f347,f113]) ).
fof(f113,axiom,
x = singleton(x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_to_no_class_belongs_to_itself_1) ).
fof(f347,plain,
! [X0,X1] :
( ~ member(X1,singleton(X0))
| X0 = X1 ),
inference(duplicate_literal_removal,[],[f346]) ).
fof(f346,plain,
! [X0,X1] :
( ~ member(X1,singleton(X0))
| X0 = X1
| X0 = X1 ),
inference(superposition,[],[f8,f12]) ).
fof(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',singleton_set) ).
fof(f8,axiom,
! [X2,X0,X1] :
( ~ member(X2,unordered_pair(X0,X1))
| X0 = X2
| X1 = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair_member) ).
fof(f66,axiom,
! [X0] :
( member(regular(X0),X0)
| null_class = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',regularity1) ).
fof(f1951,plain,
( ~ member(x,x)
| null_class = x ),
inference(duplicate_literal_removal,[],[f1943]) ).
fof(f1943,plain,
( null_class = x
| ~ member(x,x)
| null_class = x ),
inference(resolution,[],[f1939,f433]) ).
fof(f433,plain,
! [X0] :
( member(X0,null_class)
| ~ member(X0,x)
| null_class = x ),
inference(duplicate_literal_removal,[],[f432]) ).
fof(f432,plain,
! [X0] :
( member(X0,null_class)
| ~ member(X0,x)
| ~ member(X0,x)
| null_class = x ),
inference(superposition,[],[f23,f371]) ).
fof(f371,plain,
( null_class = intersection(x,x)
| null_class = x ),
inference(duplicate_literal_removal,[],[f368]) ).
fof(f368,plain,
( null_class = intersection(x,x)
| null_class = x
| null_class = x ),
inference(superposition,[],[f67,f359]) ).
fof(f67,axiom,
! [X0] :
( null_class = intersection(X0,regular(X0))
| null_class = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',regularity2) ).
fof(f23,axiom,
! [X0,X1,X4] :
( member(X4,intersection(X0,X1))
| ~ member(X4,X1)
| ~ member(X4,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection3) ).
fof(f1939,plain,
( ~ member(x,null_class)
| null_class = x ),
inference(duplicate_literal_removal,[],[f1936]) ).
fof(f1936,plain,
( ~ member(x,null_class)
| null_class = x
| ~ member(x,null_class) ),
inference(resolution,[],[f1925,f24]) ).
fof(f24,axiom,
! [X0,X4] :
( ~ member(X4,complement(X0))
| ~ member(X4,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement1) ).
fof(f1925,plain,
( member(x,complement(null_class))
| ~ member(x,null_class)
| null_class = x ),
inference(superposition,[],[f1453,f1918]) ).
fof(f1918,plain,
( null_class = flip(complement(null_class))
| null_class = x ),
inference(duplicate_literal_removal,[],[f1908]) ).
fof(f1908,plain,
( null_class = flip(complement(null_class))
| null_class = x
| null_class = x ),
inference(resolution,[],[f1786,f370]) ).
fof(f1786,plain,
( ~ member(x,x)
| null_class = flip(complement(null_class))
| null_class = x ),
inference(resolution,[],[f1776,f433]) ).
fof(f1776,plain,
( ~ member(x,null_class)
| null_class = flip(complement(null_class)) ),
inference(factoring,[],[f1504]) ).
fof(f1504,plain,
! [X0] :
( ~ member(x,null_class)
| ~ member(x,X0)
| null_class = flip(complement(X0)) ),
inference(resolution,[],[f1456,f24]) ).
fof(f1456,plain,
! [X0] :
( member(x,X0)
| ~ member(x,null_class)
| null_class = flip(X0) ),
inference(resolution,[],[f1453,f208]) ).
fof(f208,plain,
! [X0,X1] :
( member(X1,X0)
| ~ member(X1,null_class)
| null_class = X0 ),
inference(superposition,[],[f21,f67]) ).
fof(f21,axiom,
! [X0,X1,X4] :
( ~ member(X4,intersection(X0,X1))
| member(X4,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection1) ).
fof(f1453,plain,
! [X0] :
( ~ member(x,flip(X0))
| member(x,X0) ),
inference(superposition,[],[f1446,f413]) ).
fof(f413,plain,
x = ordered_pair(x,x),
inference(forward_demodulation,[],[f412,f113]) ).
fof(f412,plain,
singleton(x) = ordered_pair(x,x),
inference(forward_demodulation,[],[f411,f12]) ).
fof(f411,plain,
ordered_pair(x,x) = unordered_pair(x,x),
inference(forward_demodulation,[],[f410,f113]) ).
fof(f410,plain,
ordered_pair(x,x) = unordered_pair(x,singleton(x)),
inference(forward_demodulation,[],[f405,f12]) ).
fof(f405,plain,
ordered_pair(x,x) = unordered_pair(x,unordered_pair(x,x)),
inference(superposition,[],[f382,f113]) ).
fof(f382,plain,
! [X0] : ordered_pair(x,X0) = unordered_pair(x,unordered_pair(x,singleton(X0))),
inference(superposition,[],[f13,f113]) ).
fof(f13,axiom,
! [X0,X1] : unordered_pair(singleton(X0),unordered_pair(X0,singleton(X1))) = ordered_pair(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ordered_pair) ).
fof(f1446,plain,
! [X0,X1] :
( ~ member(ordered_pair(x,X0),flip(X1))
| member(ordered_pair(x,X0),X1) ),
inference(superposition,[],[f36,f413]) ).
fof(f36,axiom,
! [X2,X3,X0,X6] :
( ~ member(ordered_pair(ordered_pair(X2,X3),X6),flip(X0))
| member(ordered_pair(ordered_pair(X3,X2),X6),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',flip2) ).
fof(f120,plain,
member(x,universal_class),
inference(superposition,[],[f119,f113]) ).
fof(f119,plain,
! [X0] : member(singleton(X0),universal_class),
inference(superposition,[],[f11,f12]) ).
fof(f11,axiom,
! [X0,X1] : member(unordered_pair(X0,X1),universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pairs_in_universal) ).
fof(f3524,plain,
~ member(null_class,universal_class),
inference(resolution,[],[f3520,f2599]) ).
fof(f2599,plain,
( member(null_class,null_class)
| ~ member(null_class,universal_class) ),
inference(forward_demodulation,[],[f1969,f1965]) ).
fof(f1969,plain,
( member(null_class,null_class)
| ~ member(x,universal_class) ),
inference(backward_demodulation,[],[f126,f1965]) ).
fof(f126,plain,
( member(x,x)
| ~ member(x,universal_class) ),
inference(superposition,[],[f125,f113]) ).
fof(f125,plain,
! [X0] :
( member(X0,singleton(X0))
| ~ member(X0,universal_class) ),
inference(superposition,[],[f9,f12]) ).
fof(f9,axiom,
! [X0,X1] :
( member(X0,unordered_pair(X0,X1))
| ~ member(X0,universal_class) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair2) ).
fof(f3520,plain,
~ member(null_class,null_class),
inference(duplicate_literal_removal,[],[f3519]) ).
fof(f3519,plain,
( ~ member(null_class,null_class)
| ~ member(null_class,null_class) ),
inference(resolution,[],[f3513,f24]) ).
fof(f3513,plain,
( member(null_class,complement(null_class))
| ~ member(null_class,null_class) ),
inference(superposition,[],[f3093,f3503]) ).
fof(f3503,plain,
null_class = flip(complement(null_class)),
inference(resolution,[],[f3477,f1967]) ).
fof(f3477,plain,
( ~ member(null_class,universal_class)
| null_class = flip(complement(null_class)) ),
inference(resolution,[],[f2529,f2599]) ).
fof(f2529,plain,
( ~ member(null_class,null_class)
| null_class = flip(complement(null_class)) ),
inference(backward_demodulation,[],[f1776,f1965]) ).
fof(f3093,plain,
! [X0] :
( ~ member(null_class,flip(X0))
| member(null_class,X0) ),
inference(forward_demodulation,[],[f2380,f1965]) ).
fof(f2380,plain,
! [X0] :
( member(null_class,X0)
| ~ member(x,flip(X0)) ),
inference(backward_demodulation,[],[f1453,f1965]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SET516-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.10/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.31 % Computer : n019.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue Apr 30 01:29:14 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.10/0.32 % (22143)Running in auto input_syntax mode. Trying TPTP
% 0.10/0.33 % (22148)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.10/0.33 % (22145)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.10/0.34 % (22149)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.10/0.34 % (22150)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.10/0.34 % (22147)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.10/0.34 % (22144)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.10/0.35 % (22146)WARNING: value z3 for option sas not known
% 0.10/0.35 % (22146)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.16/0.41 TRYING [1]
% 0.16/0.41 TRYING [2]
% 0.16/0.41 TRYING [1]
% 0.16/0.42 TRYING [2]
% 0.16/0.42 TRYING [3]
% 0.16/0.49 TRYING [4]
% 0.16/0.49 % (22149)First to succeed.
% 0.16/0.50 % (22149)Refutation found. Thanks to Tanya!
% 0.16/0.50 % SZS status Unsatisfiable for theBenchmark
% 0.16/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.50 % (22149)------------------------------
% 0.16/0.50 % (22149)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.16/0.50 % (22149)Termination reason: Refutation
% 0.16/0.50
% 0.16/0.50 % (22149)Memory used [KB]: 2342
% 0.16/0.50 % (22149)Time elapsed: 0.162 s
% 0.16/0.50 % (22149)Instructions burned: 310 (million)
% 0.16/0.50 % (22149)------------------------------
% 0.16/0.50 % (22149)------------------------------
% 0.16/0.50 % (22143)Success in time 0.18 s
%------------------------------------------------------------------------------