TSTP Solution File: SET074+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET074+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 : n005.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 18:18:56 EDT 2022
% Result : Theorem 0.20s 0.53s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 19 ( 6 unt; 0 def)
% Number of atoms : 57 ( 24 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 59 ( 21 ~; 18 |; 15 &)
% ( 2 <=>; 3 =>; 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; 4 con; 0-2 aty)
% Number of variables : 30 ( 26 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f94,plain,
$false,
inference(subsumption_resolution,[],[f93,f65]) ).
fof(f65,plain,
! [X0] : ~ member(X0,null_class),
inference(cnf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0] : ~ member(X0,null_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',null_class_defn) ).
fof(f93,plain,
member(sK1,null_class),
inference(subsumption_resolution,[],[f92,f67]) ).
fof(f67,plain,
member(sK1,universal_class),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
( member(sK1,universal_class)
& null_class = unordered_pair(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f49,f54]) ).
fof(f54,plain,
( ? [X0,X1] :
( member(X1,universal_class)
& unordered_pair(X0,X1) = null_class )
=> ( member(sK1,universal_class)
& null_class = unordered_pair(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f49,plain,
? [X0,X1] :
( member(X1,universal_class)
& unordered_pair(X0,X1) = null_class ),
inference(ennf_transformation,[],[f45]) ).
fof(f45,negated_conjecture,
~ ! [X0,X1] :
( member(X1,universal_class)
=> unordered_pair(X0,X1) != null_class ),
inference(negated_conjecture,[],[f44]) ).
fof(f44,conjecture,
! [X0,X1] :
( member(X1,universal_class)
=> unordered_pair(X0,X1) != null_class ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',corollary1_2) ).
fof(f92,plain,
( ~ member(sK1,universal_class)
| member(sK1,null_class) ),
inference(superposition,[],[f76,f66]) ).
fof(f66,plain,
null_class = unordered_pair(sK0,sK1),
inference(cnf_transformation,[],[f55]) ).
fof(f76,plain,
! [X2,X0] :
( ~ member(X2,universal_class)
| member(X2,unordered_pair(X0,X2)) ),
inference(equality_resolution,[],[f61]) ).
fof(f61,plain,
! [X2,X0,X1] :
( member(X2,unordered_pair(X0,X1))
| X1 != X2
| ~ member(X2,universal_class) ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0,X1,X2] :
( ( ( ( X1 = X2
| X0 = X2 )
& member(X2,universal_class) )
| ~ member(X2,unordered_pair(X0,X1)) )
& ( member(X2,unordered_pair(X0,X1))
| ( X1 != X2
& X0 != X2 )
| ~ member(X2,universal_class) ) ),
inference(rectify,[],[f52]) ).
fof(f52,plain,
! [X0,X2,X1] :
( ( ( ( X1 = X2
| X0 = X1 )
& member(X1,universal_class) )
| ~ member(X1,unordered_pair(X0,X2)) )
& ( member(X1,unordered_pair(X0,X2))
| ( X1 != X2
& X0 != X1 )
| ~ member(X1,universal_class) ) ),
inference(flattening,[],[f51]) ).
fof(f51,plain,
! [X0,X2,X1] :
( ( ( ( X1 = X2
| X0 = X1 )
& member(X1,universal_class) )
| ~ member(X1,unordered_pair(X0,X2)) )
& ( member(X1,unordered_pair(X0,X2))
| ( X1 != X2
& X0 != X1 )
| ~ member(X1,universal_class) ) ),
inference(nnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0,X2,X1] :
( ( ( X1 = X2
| X0 = X1 )
& member(X1,universal_class) )
<=> member(X1,unordered_pair(X0,X2)) ),
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/sandbox/benchmark/theBenchmark.p',unordered_pair_defn) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET074+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 : n005.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 13:08:48 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.51 % (24104)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)
% 0.20/0.51 % (24095)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)
% 0.20/0.52 % (24086)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)
% 0.20/0.52 % (24086)First to succeed.
% 0.20/0.52 % (24095)Instruction limit reached!
% 0.20/0.52 % (24095)------------------------------
% 0.20/0.52 % (24095)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (24095)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (24095)Termination reason: Unknown
% 0.20/0.52 % (24095)Termination phase: Saturation
% 0.20/0.52
% 0.20/0.52 % (24095)Memory used [KB]: 6140
% 0.20/0.52 % (24095)Time elapsed: 0.009 s
% 0.20/0.52 % (24095)Instructions burned: 7 (million)
% 0.20/0.52 % (24095)------------------------------
% 0.20/0.52 % (24095)------------------------------
% 0.20/0.52 % (24085)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.52 % (24082)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)
% 0.20/0.53 % (24086)Refutation found. Thanks to Tanya!
% 0.20/0.53 % SZS status Theorem for theBenchmark
% 0.20/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.53 % (24086)------------------------------
% 0.20/0.53 % (24086)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (24086)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (24086)Termination reason: Refutation
% 0.20/0.53
% 0.20/0.53 % (24086)Memory used [KB]: 6012
% 0.20/0.53 % (24086)Time elapsed: 0.072 s
% 0.20/0.53 % (24086)Instructions burned: 2 (million)
% 0.20/0.53 % (24086)------------------------------
% 0.20/0.53 % (24086)------------------------------
% 0.20/0.53 % (24075)Success in time 0.17 s
%------------------------------------------------------------------------------