TSTP Solution File: SET081+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET081+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 : n025.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 18:18:59 EDT 2022
% Result : Theorem 0.21s 0.49s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 19 ( 6 unt; 0 def)
% Number of atoms : 57 ( 29 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 59 ( 21 ~; 16 |; 16 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 32 ( 26 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f130,plain,
$false,
inference(unit_resulting_resolution,[],[f72,f72,f91,f81]) ).
fof(f81,plain,
! [X2,X0,X1] :
( ~ member(X1,unordered_pair(X2,X0))
| X1 = X2
| X0 = X1 ),
inference(cnf_transformation,[],[f66]) ).
fof(f66,plain,
! [X0,X1,X2] :
( ( member(X1,unordered_pair(X2,X0))
| ~ member(X1,universal_class)
| ( X0 != X1
& X1 != X2 ) )
& ( ( member(X1,universal_class)
& ( X0 = X1
| X1 = X2 ) )
| ~ member(X1,unordered_pair(X2,X0)) ) ),
inference(rectify,[],[f65]) ).
fof(f65,plain,
! [X2,X1,X0] :
( ( member(X1,unordered_pair(X0,X2))
| ~ member(X1,universal_class)
| ( X1 != X2
& X0 != X1 ) )
& ( ( member(X1,universal_class)
& ( X1 = X2
| X0 = X1 ) )
| ~ member(X1,unordered_pair(X0,X2)) ) ),
inference(flattening,[],[f64]) ).
fof(f64,plain,
! [X2,X1,X0] :
( ( member(X1,unordered_pair(X0,X2))
| ~ member(X1,universal_class)
| ( X1 != X2
& X0 != X1 ) )
& ( ( member(X1,universal_class)
& ( X1 = X2
| X0 = X1 ) )
| ~ member(X1,unordered_pair(X0,X2)) ) ),
inference(nnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X2,X1,X0] :
( member(X1,unordered_pair(X0,X2))
<=> ( member(X1,universal_class)
& ( X1 = X2
| X0 = X1 ) ) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X0,X2,X1] :
( ( ( X0 = X2
| X1 = X2 )
& member(X2,universal_class) )
<=> member(X2,unordered_pair(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair_defn) ).
fof(f91,plain,
member(sK1,unordered_pair(sK0,sK0)),
inference(definition_unfolding,[],[f71,f89]) ).
fof(f89,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(f71,plain,
member(sK1,singleton(sK0)),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
( sK1 != sK0
& member(sK1,singleton(sK0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f53,f54]) ).
fof(f54,plain,
( ? [X0,X1] :
( X0 != X1
& member(X1,singleton(X0)) )
=> ( sK1 != sK0
& member(sK1,singleton(sK0)) ) ),
introduced(choice_axiom,[]) ).
fof(f53,plain,
? [X0,X1] :
( X0 != X1
& member(X1,singleton(X0)) ),
inference(rectify,[],[f51]) ).
fof(f51,plain,
? [X1,X0] :
( X0 != X1
& member(X0,singleton(X1)) ),
inference(ennf_transformation,[],[f46]) ).
fof(f46,plain,
~ ! [X0,X1] :
( member(X0,singleton(X1))
=> X0 = X1 ),
inference(rectify,[],[f45]) ).
fof(f45,negated_conjecture,
~ ! [X1,X0] :
( member(X1,singleton(X0))
=> X0 = X1 ),
inference(negated_conjecture,[],[f44]) ).
fof(f44,conjecture,
! [X1,X0] :
( member(X1,singleton(X0))
=> X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',only_member_in_singleton) ).
fof(f72,plain,
sK1 != sK0,
inference(cnf_transformation,[],[f55]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET081+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 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 : n025.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 13:19:30 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.21/0.45 % (4804)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.21/0.46 % (4810)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.21/0.46 % (4804)Refutation not found, incomplete strategy% (4804)------------------------------
% 0.21/0.46 % (4804)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.46 % (4810)Refutation not found, incomplete strategy% (4810)------------------------------
% 0.21/0.46 % (4810)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.46 % (4804)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.46 % (4804)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.46
% 0.21/0.46 % (4804)Memory used [KB]: 5884
% 0.21/0.46 % (4804)Time elapsed: 0.064 s
% 0.21/0.46 % (4804)Instructions burned: 2 (million)
% 0.21/0.46 % (4804)------------------------------
% 0.21/0.46 % (4804)------------------------------
% 0.21/0.46 % (4810)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.46 % (4810)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.46
% 0.21/0.46 % (4810)Memory used [KB]: 5884
% 0.21/0.46 % (4810)Time elapsed: 0.065 s
% 0.21/0.46 % (4810)Instructions burned: 2 (million)
% 0.21/0.46 % (4810)------------------------------
% 0.21/0.46 % (4810)------------------------------
% 0.21/0.47 % (4799)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.21/0.47 % (4828)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.21/0.47 % (4824)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.48 % (4818)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.48 % (4818)Refutation not found, incomplete strategy% (4818)------------------------------
% 0.21/0.48 % (4818)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.48 % (4813)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.48 % (4818)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.48 % (4818)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.48
% 0.21/0.48 % (4818)Memory used [KB]: 5884
% 0.21/0.48 % (4818)Time elapsed: 0.081 s
% 0.21/0.48 % (4818)Instructions burned: 1 (million)
% 0.21/0.48 % (4818)------------------------------
% 0.21/0.48 % (4818)------------------------------
% 0.21/0.48 % (4813)First to succeed.
% 0.21/0.48 % (4828)Instruction limit reached!
% 0.21/0.48 % (4828)------------------------------
% 0.21/0.48 % (4828)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.48 % (4828)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.48 % (4828)Termination reason: Unknown
% 0.21/0.48 % (4828)Termination phase: Saturation
% 0.21/0.48
% 0.21/0.48 % (4828)Memory used [KB]: 6140
% 0.21/0.48 % (4828)Time elapsed: 0.069 s
% 0.21/0.48 % (4828)Instructions burned: 8 (million)
% 0.21/0.48 % (4828)------------------------------
% 0.21/0.48 % (4828)------------------------------
% 0.21/0.48 % (4821)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.48 % (4821)Also succeeded, but the first one will report.
% 0.21/0.49 % (4813)Refutation found. Thanks to Tanya!
% 0.21/0.49 % SZS status Theorem for theBenchmark
% 0.21/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.49 % (4813)------------------------------
% 0.21/0.49 % (4813)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.49 % (4813)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.49 % (4813)Termination reason: Refutation
% 0.21/0.49
% 0.21/0.49 % (4813)Memory used [KB]: 6012
% 0.21/0.49 % (4813)Time elapsed: 0.086 s
% 0.21/0.49 % (4813)Instructions burned: 3 (million)
% 0.21/0.49 % (4813)------------------------------
% 0.21/0.49 % (4813)------------------------------
% 0.21/0.49 % (4798)Success in time 0.13 s
%------------------------------------------------------------------------------