TSTP Solution File: SET025+1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET025+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 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 : n023.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 18:23:14 EDT 2022
% Result : Theorem 1.45s 0.55s
% Output : Refutation 1.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 23 ( 19 unt; 3 typ; 0 def)
% Number of atoms : 21 ( 7 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 10 ( 9 ~; 0 |; 0 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of types : 4 ( 0 usr; 3 ari)
% Number of type conns : 6 ( 3 >; 3 *; 0 +; 0 <<)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 28 ( 22 !; 6 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_7,type,
sQ9_eqProxy: ( $int * $int ) > $o ).
tff(pred_def_8,type,
sQ10_eqProxy: ( $rat * $rat ) > $o ).
tff(pred_def_9,type,
sQ11_eqProxy: ( $real * $real ) > $o ).
fof(f435,plain,
$false,
inference(subsumption_resolution,[],[f291,f355]) ).
fof(f355,plain,
! [X0,X1] : member(unordered_pair(X0,X1),universal_class),
inference(literal_reordering,[],[f205]) ).
fof(f205,plain,
! [X0,X1] : member(unordered_pair(X0,X1),universal_class),
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1] : member(unordered_pair(X0,X1),universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair) ).
fof(f291,plain,
~ member(unordered_pair(unordered_pair(sK5,sK5),unordered_pair(sK5,unordered_pair(sK4,sK4))),universal_class),
inference(literal_reordering,[],[f266]) ).
fof(f266,plain,
~ member(unordered_pair(unordered_pair(sK5,sK5),unordered_pair(sK5,unordered_pair(sK4,sK4))),universal_class),
inference(definition_unfolding,[],[f204,f241]) ).
fof(f241,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),
inference(definition_unfolding,[],[f194,f235,f235]) ).
fof(f235,plain,
! [X0] : singleton(X0) = unordered_pair(X0,X0),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] : singleton(X0) = unordered_pair(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',singleton_set_defn) ).
fof(f194,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(singleton(X0),unordered_pair(X0,singleton(X1))),
inference(cnf_transformation,[],[f120]) ).
fof(f120,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(singleton(X0),unordered_pair(X0,singleton(X1))),
inference(rectify,[],[f73]) ).
fof(f73,plain,
! [X1,X0] : unordered_pair(singleton(X1),unordered_pair(X1,singleton(X0))) = ordered_pair(X1,X0),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X1,X0] : ordered_pair(X0,X1) = unordered_pair(singleton(X0),unordered_pair(X0,singleton(X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ordered_pair_defn) ).
fof(f204,plain,
~ member(ordered_pair(sK5,sK4),universal_class),
inference(cnf_transformation,[],[f130]) ).
fof(f130,plain,
~ member(ordered_pair(sK5,sK4),universal_class),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5])],[f128,f129]) ).
fof(f129,plain,
( ? [X0,X1] : ~ member(ordered_pair(X1,X0),universal_class)
=> ~ member(ordered_pair(sK5,sK4),universal_class) ),
introduced(choice_axiom,[]) ).
fof(f128,plain,
? [X0,X1] : ~ member(ordered_pair(X1,X0),universal_class),
inference(rectify,[],[f79]) ).
fof(f79,plain,
? [X1,X0] : ~ member(ordered_pair(X0,X1),universal_class),
inference(ennf_transformation,[],[f45]) ).
fof(f45,negated_conjecture,
~ ! [X1,X0] : member(ordered_pair(X0,X1),universal_class),
inference(negated_conjecture,[],[f44]) ).
fof(f44,conjecture,
! [X1,X0] : member(ordered_pair(X0,X1),universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ordered_pair_is_set) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET025+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 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
% 0.13/0.34 % Computer : n023.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 13:17:50 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.21/0.52 % (15310)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.53 % (15309)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.53 % (15317)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.45/0.54 % (15310)Instruction limit reached!
% 1.45/0.54 % (15310)------------------------------
% 1.45/0.54 % (15310)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.54 % (15310)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.54 % (15310)Termination reason: Unknown
% 1.45/0.54 % (15310)Termination phase: Saturation
% 1.45/0.54
% 1.45/0.54 % (15310)Memory used [KB]: 5500
% 1.45/0.54 % (15310)Time elapsed: 0.123 s
% 1.45/0.54 % (15310)Instructions burned: 7 (million)
% 1.45/0.54 % (15310)------------------------------
% 1.45/0.54 % (15310)------------------------------
% 1.45/0.54 % (15325)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 1.45/0.54 % (15318)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)
% 1.45/0.55 % (15317)First to succeed.
% 1.45/0.55 % (15305)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.45/0.55 % (15317)Refutation found. Thanks to Tanya!
% 1.45/0.55 % SZS status Theorem for theBenchmark
% 1.45/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 1.45/0.55 % (15317)------------------------------
% 1.45/0.55 % (15317)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.55 % (15317)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.55 % (15317)Termination reason: Refutation
% 1.45/0.55
% 1.45/0.55 % (15317)Memory used [KB]: 6012
% 1.45/0.55 % (15317)Time elapsed: 0.008 s
% 1.45/0.55 % (15317)Instructions burned: 8 (million)
% 1.45/0.55 % (15317)------------------------------
% 1.45/0.55 % (15317)------------------------------
% 1.45/0.55 % (15302)Success in time 0.196 s
%------------------------------------------------------------------------------