TSTP Solution File: SET117+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET117+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_uns --cores 0 -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 : Wed Aug 31 18:19:22 EDT 2022
% Result : Theorem 1.49s 0.56s
% Output : Refutation 1.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 17 ( 12 unt; 0 def)
% Number of atoms : 24 ( 11 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 13 ( 6 ~; 0 |; 4 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 20 ( 18 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f315,plain,
$false,
inference(resolution,[],[f312,f220]) ).
fof(f220,plain,
~ member(sK5,universal_class),
inference(cnf_transformation,[],[f136]) ).
fof(f136,plain,
( ~ member(sK5,universal_class)
& sK5 = ordered_pair(first(sK5),second(sK5)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f76,f135]) ).
fof(f135,plain,
( ? [X0] :
( ~ member(X0,universal_class)
& ordered_pair(first(X0),second(X0)) = X0 )
=> ( ~ member(sK5,universal_class)
& sK5 = ordered_pair(first(sK5),second(sK5)) ) ),
introduced(choice_axiom,[]) ).
fof(f76,plain,
? [X0] :
( ~ member(X0,universal_class)
& ordered_pair(first(X0),second(X0)) = X0 ),
inference(ennf_transformation,[],[f45]) ).
fof(f45,negated_conjecture,
~ ! [X0] :
( ordered_pair(first(X0),second(X0)) = X0
=> member(X0,universal_class) ),
inference(negated_conjecture,[],[f44]) ).
fof(f44,conjecture,
! [X0] :
( ordered_pair(first(X0),second(X0)) = X0
=> member(X0,universal_class) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',corollary_1_to_ordered_pairs_are_sets) ).
fof(f312,plain,
member(sK5,universal_class),
inference(superposition,[],[f308,f219]) ).
fof(f219,plain,
sK5 = ordered_pair(first(sK5),second(sK5)),
inference(cnf_transformation,[],[f136]) ).
fof(f308,plain,
! [X0,X1] : member(ordered_pair(X0,X1),universal_class),
inference(superposition,[],[f217,f221]) ).
fof(f221,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(singleton(X0),unordered_pair(X0,singleton(X1))),
inference(cnf_transformation,[],[f137]) ).
fof(f137,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(singleton(X0),unordered_pair(X0,singleton(X1))),
inference(rectify,[],[f70]) ).
fof(f70,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(f217,plain,
! [X0,X1] : member(unordered_pair(X1,X0),universal_class),
inference(cnf_transformation,[],[f134]) ).
fof(f134,plain,
! [X0,X1] : member(unordered_pair(X1,X0),universal_class),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X1,X0] : member(unordered_pair(X0,X1),universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET117+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.12/0.13 % 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 : n019.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
% 0.20/0.35 % CPULimit : 300
% 0.20/0.35 % WCLimit : 300
% 0.20/0.35 % DateTime : Tue Aug 30 13:22:35 EDT 2022
% 0.20/0.35 % CPUTime :
% 0.20/0.50 % (25276)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.51 % (25284)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.20/0.51 % (25276)Instruction limit reached!
% 0.20/0.51 % (25276)------------------------------
% 0.20/0.51 % (25276)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (25284)Refutation not found, incomplete strategy% (25284)------------------------------
% 0.20/0.51 % (25284)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (25276)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (25276)Termination reason: Unknown
% 0.20/0.51 % (25276)Termination phase: Saturation
% 0.20/0.51
% 0.20/0.51 % (25276)Memory used [KB]: 6140
% 0.20/0.51 % (25276)Time elapsed: 0.005 s
% 0.20/0.51 % (25276)Instructions burned: 7 (million)
% 0.20/0.51 % (25276)------------------------------
% 0.20/0.51 % (25276)------------------------------
% 0.20/0.52 % (25284)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (25284)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.52
% 0.20/0.52 % (25284)Memory used [KB]: 1535
% 0.20/0.52 % (25284)Time elapsed: 0.084 s
% 0.20/0.52 % (25284)Instructions burned: 2 (million)
% 0.20/0.52 % (25284)------------------------------
% 0.20/0.52 % (25284)------------------------------
% 0.20/0.54 % (25288)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.55 % (25264)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.55 % (25280)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.20/0.55 % (25268)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.55 % (25269)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.55 % (25288)First to succeed.
% 0.20/0.55 % (25272)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.49/0.56 % (25288)Refutation found. Thanks to Tanya!
% 1.49/0.56 % SZS status Theorem for theBenchmark
% 1.49/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 1.49/0.56 % (25288)------------------------------
% 1.49/0.56 % (25288)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.49/0.56 % (25288)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.49/0.56 % (25288)Termination reason: Refutation
% 1.49/0.56
% 1.49/0.56 % (25288)Memory used [KB]: 6140
% 1.49/0.56 % (25288)Time elapsed: 0.128 s
% 1.49/0.56 % (25288)Instructions burned: 7 (million)
% 1.49/0.56 % (25288)------------------------------
% 1.49/0.56 % (25288)------------------------------
% 1.49/0.56 % (25260)Success in time 0.195 s
%------------------------------------------------------------------------------