TSTP Solution File: SET103-7 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET103-7 : 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_uns --cores 0 -t %d %s
% Computer : n014.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 18:19:15 EDT 2022
% Result : Unsatisfiable 0.20s 0.48s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 16 ( 14 unt; 0 def)
% Number of atoms : 18 ( 14 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 10 ( 8 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 9 ( 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f307,plain,
$false,
inference(trivial_inequality_removal,[],[f305]) ).
fof(f305,plain,
unordered_pair(unordered_pair(null_class,x),unordered_pair(x,x)) != unordered_pair(unordered_pair(null_class,x),unordered_pair(x,x)),
inference(superposition,[],[f304,f108]) ).
fof(f108,axiom,
! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_unordered_pair) ).
fof(f304,plain,
unordered_pair(unordered_pair(null_class,x),unordered_pair(x,x)) != unordered_pair(unordered_pair(x,x),unordered_pair(null_class,x)),
inference(forward_demodulation,[],[f303,f108]) ).
fof(f303,plain,
unordered_pair(unordered_pair(null_class,x),unordered_pair(x,x)) != unordered_pair(unordered_pair(x,x),unordered_pair(x,null_class)),
inference(forward_demodulation,[],[f302,f285]) ).
fof(f285,plain,
null_class = unordered_pair(y,y),
inference(resolution,[],[f207,f149]) ).
fof(f149,axiom,
~ member(y,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_property_1_of_ordered_pair_2) ).
fof(f207,plain,
! [X0] :
( member(X0,universal_class)
| unordered_pair(X0,X0) = null_class ),
inference(definition_unfolding,[],[f126,f12]) ).
fof(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',singleton_set) ).
fof(f126,axiom,
! [X0] :
( singleton(X0) = null_class
| member(X0,universal_class) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',singleton_is_null_class) ).
fof(f302,plain,
unordered_pair(unordered_pair(x,x),unordered_pair(x,unordered_pair(y,y))) != unordered_pair(unordered_pair(null_class,x),unordered_pair(x,x)),
inference(forward_demodulation,[],[f301,f108]) ).
fof(f301,plain,
unordered_pair(unordered_pair(x,x),unordered_pair(x,unordered_pair(y,y))) != unordered_pair(unordered_pair(x,null_class),unordered_pair(x,x)),
inference(forward_demodulation,[],[f168,f108]) ).
fof(f168,plain,
unordered_pair(unordered_pair(x,x),unordered_pair(x,unordered_pair(y,y))) != unordered_pair(unordered_pair(x,x),unordered_pair(x,null_class)),
inference(definition_unfolding,[],[f148,f12,f158]) ).
fof(f158,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),
inference(definition_unfolding,[],[f13,f12,f12]) ).
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(f148,axiom,
unordered_pair(singleton(x),unordered_pair(x,null_class)) != ordered_pair(x,y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_property_1_of_ordered_pair_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET103-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.07/0.13 % 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 : n014.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 13:18:03 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.47 % (5227)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.47 % (5219)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.47 % (5227)Instruction limit reached!
% 0.20/0.47 % (5227)------------------------------
% 0.20/0.47 % (5227)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.47 % (5227)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.47 % (5227)Termination reason: Unknown
% 0.20/0.47 % (5227)Termination phase: Function definition elimination
% 0.20/0.47
% 0.20/0.47 % (5227)Memory used [KB]: 1407
% 0.20/0.47 % (5227)Time elapsed: 0.003 s
% 0.20/0.47 % (5227)Instructions burned: 3 (million)
% 0.20/0.47 % (5227)------------------------------
% 0.20/0.47 % (5227)------------------------------
% 0.20/0.48 % (5219)First to succeed.
% 0.20/0.48 % (5219)Refutation found. Thanks to Tanya!
% 0.20/0.48 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.48 % (5219)------------------------------
% 0.20/0.48 % (5219)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.48 % (5219)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.48 % (5219)Termination reason: Refutation
% 0.20/0.48
% 0.20/0.48 % (5219)Memory used [KB]: 6012
% 0.20/0.48 % (5219)Time elapsed: 0.072 s
% 0.20/0.48 % (5219)Instructions burned: 8 (million)
% 0.20/0.48 % (5219)------------------------------
% 0.20/0.48 % (5219)------------------------------
% 0.20/0.48 % (5205)Success in time 0.128 s
%------------------------------------------------------------------------------