TSTP Solution File: SET085-7 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET085-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% 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 : n001.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 18:23:36 EDT 2022
% Result : Unsatisfiable 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 12
% Syntax : Number of formulae : 28 ( 16 unt; 0 def)
% Number of atoms : 40 ( 20 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 29 ( 17 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 12 ( 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f473,plain,
$false,
inference(subsumption_resolution,[],[f472,f185]) ).
fof(f185,plain,
null_class != sF0,
inference(subsumption_resolution,[],[f184,f130]) ).
fof(f130,axiom,
member(x,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_singleton_in_unordered_pair3_2) ).
fof(f184,plain,
( ~ member(x,universal_class)
| null_class != sF0 ),
inference(superposition,[],[f123,f140]) ).
fof(f140,plain,
singleton(x) = sF0,
inference(backward_demodulation,[],[f137,f138]) ).
fof(f138,plain,
sF0 = sF1,
inference(definition_folding,[],[f129,f137,f136]) ).
fof(f136,plain,
unordered_pair(y,z) = sF0,
introduced(function_definition,[]) ).
fof(f129,axiom,
unordered_pair(y,z) = singleton(x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_singleton_in_unordered_pair3_1) ).
fof(f137,plain,
singleton(x) = sF1,
introduced(function_definition,[]) ).
fof(f123,axiom,
! [X0] :
( singleton(X0) != null_class
| ~ member(X0,universal_class) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',corollary_to_set_in_its_singleton) ).
fof(f472,plain,
null_class = sF0,
inference(forward_demodulation,[],[f451,f232]) ).
fof(f232,plain,
null_class = singleton(y),
inference(resolution,[],[f228,f126]) ).
fof(f126,axiom,
! [X0] :
( member(X0,universal_class)
| singleton(X0) = null_class ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',singleton_is_null_class) ).
fof(f228,plain,
~ member(y,universal_class),
inference(subsumption_resolution,[],[f227,f131]) ).
fof(f131,axiom,
y != x,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_singleton_in_unordered_pair3_3) ).
fof(f227,plain,
( y = x
| ~ member(y,universal_class) ),
inference(resolution,[],[f200,f190]) ).
fof(f190,plain,
! [X0] :
( ~ member(X0,sF0)
| x = X0 ),
inference(superposition,[],[f125,f140]) ).
fof(f125,axiom,
! [X0,X1] :
( ~ member(X1,singleton(X0))
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',only_member_in_singleton) ).
fof(f200,plain,
( member(y,sF0)
| ~ member(y,universal_class) ),
inference(superposition,[],[f9,f136]) ).
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(f451,plain,
sF0 = singleton(y),
inference(superposition,[],[f424,f136]) ).
fof(f424,plain,
! [X3] : unordered_pair(X3,z) = singleton(X3),
inference(resolution,[],[f111,f251]) ).
fof(f251,plain,
~ member(z,universal_class),
inference(subsumption_resolution,[],[f250,f132]) ).
fof(f132,axiom,
z != x,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_singleton_in_unordered_pair3_4) ).
fof(f250,plain,
( z = x
| ~ member(z,universal_class) ),
inference(resolution,[],[f204,f190]) ).
fof(f204,plain,
( member(z,sF0)
| ~ member(z,universal_class) ),
inference(superposition,[],[f10,f136]) ).
fof(f10,axiom,
! [X0,X1] :
( member(X1,unordered_pair(X0,X1))
| ~ member(X1,universal_class) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair3) ).
fof(f111,axiom,
! [X0,X1] :
( member(X1,universal_class)
| unordered_pair(X0,X1) = singleton(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair_equals_singleton1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET085-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.33 % Computer : n001.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Aug 30 13:33:31 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.48 % (14834)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.49 % (14849)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.19/0.50 % (14849)First to succeed.
% 0.19/0.50 % (14838)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.50 % (14842)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.51 % (14854)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.19/0.51 % (14849)Refutation found. Thanks to Tanya!
% 0.19/0.51 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51 % (14849)------------------------------
% 0.19/0.51 % (14849)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (14849)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (14849)Termination reason: Refutation
% 0.19/0.51
% 0.19/0.51 % (14849)Memory used [KB]: 1279
% 0.19/0.51 % (14849)Time elapsed: 0.099 s
% 0.19/0.51 % (14849)Instructions burned: 19 (million)
% 0.19/0.51 % (14849)------------------------------
% 0.19/0.51 % (14849)------------------------------
% 0.19/0.51 % (14833)Success in time 0.172 s
%------------------------------------------------------------------------------