TSTP Solution File: SET074+1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---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_sat --cores 0 -t %d %s
% Computer : n024.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 18:23:32 EDT 2022
% Result : Theorem 0.21s 0.51s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 20 ( 7 unt; 0 def)
% Number of atoms : 58 ( 25 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 58 ( 20 ~; 17 |; 16 &)
% ( 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 : 33 ( 27 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f300,plain,
$false,
inference(subsumption_resolution,[],[f299,f233]) ).
fof(f233,plain,
! [X0] : ~ member(X0,null_class),
inference(cnf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0] : ~ member(X0,null_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',null_class_defn) ).
fof(f299,plain,
member(sK3,null_class),
inference(superposition,[],[f292,f208]) ).
fof(f208,plain,
null_class = unordered_pair(sK4,sK3),
inference(cnf_transformation,[],[f136]) ).
fof(f136,plain,
( null_class = unordered_pair(sK4,sK3)
& member(sK3,universal_class) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4])],[f134,f135]) ).
fof(f135,plain,
( ? [X0,X1] :
( null_class = unordered_pair(X1,X0)
& member(X0,universal_class) )
=> ( null_class = unordered_pair(sK4,sK3)
& member(sK3,universal_class) ) ),
introduced(choice_axiom,[]) ).
fof(f134,plain,
? [X0,X1] :
( null_class = unordered_pair(X1,X0)
& member(X0,universal_class) ),
inference(rectify,[],[f79]) ).
fof(f79,plain,
? [X1,X0] :
( unordered_pair(X0,X1) = null_class
& member(X1,universal_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/sandbox2/benchmark/theBenchmark.p',corollary1_2) ).
fof(f292,plain,
! [X0] : member(sK3,unordered_pair(X0,sK3)),
inference(resolution,[],[f284,f207]) ).
fof(f207,plain,
member(sK3,universal_class),
inference(cnf_transformation,[],[f136]) ).
fof(f284,plain,
! [X2,X0] :
( ~ member(X2,universal_class)
| member(X2,unordered_pair(X0,X2)) ),
inference(equality_resolution,[],[f160]) ).
fof(f160,plain,
! [X2,X0,X1] :
( member(X2,unordered_pair(X0,X1))
| X1 != X2
| ~ member(X2,universal_class) ),
inference(cnf_transformation,[],[f93]) ).
fof(f93,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,[],[f92]) ).
fof(f92,plain,
! [X2,X0,X1] :
( ( ( ( X0 = X1
| X1 = X2 )
& member(X1,universal_class) )
| ~ member(X1,unordered_pair(X2,X0)) )
& ( member(X1,unordered_pair(X2,X0))
| ( X0 != X1
& X1 != X2 )
| ~ member(X1,universal_class) ) ),
inference(flattening,[],[f91]) ).
fof(f91,plain,
! [X2,X0,X1] :
( ( ( ( X0 = X1
| X1 = X2 )
& member(X1,universal_class) )
| ~ member(X1,unordered_pair(X2,X0)) )
& ( member(X1,unordered_pair(X2,X0))
| ( X0 != X1
& X1 != X2 )
| ~ member(X1,universal_class) ) ),
inference(nnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X2,X0,X1] :
( ( ( X0 = X1
| X1 = X2 )
& member(X1,universal_class) )
<=> member(X1,unordered_pair(X2,X0)) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X1,X2,X0] :
( member(X2,unordered_pair(X0,X1))
<=> ( ( X0 = X2
| X1 = X2 )
& member(X2,universal_class) ) ),
file('/export/starexec/sandbox2/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_sat --cores 0 -t %d %s
% 0.14/0.35 % Computer : n024.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 30 13:11:04 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.50 % (2295)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.21/0.50 % (2286)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)
% 0.21/0.50 % (2271)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.50 % (2277)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.51 % (2295)First to succeed.
% 0.21/0.51 % (2272)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)
% 0.21/0.51 % (2273)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.51 % (2286)Also succeeded, but the first one will report.
% 0.21/0.51 % (2277)Instruction limit reached!
% 0.21/0.51 % (2277)------------------------------
% 0.21/0.51 % (2277)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.51 % (2277)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.51 % (2277)Termination reason: Unknown
% 0.21/0.51 % (2277)Termination phase: Saturation
% 0.21/0.51
% 0.21/0.51 % (2277)Memory used [KB]: 5500
% 0.21/0.51 % (2277)Time elapsed: 0.070 s
% 0.21/0.51 % (2277)Instructions burned: 7 (million)
% 0.21/0.51 % (2277)------------------------------
% 0.21/0.51 % (2277)------------------------------
% 0.21/0.51 % (2284)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.51 % (2295)Refutation found. Thanks to Tanya!
% 0.21/0.51 % SZS status Theorem for theBenchmark
% 0.21/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.51 % (2295)------------------------------
% 0.21/0.51 % (2295)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.51 % (2295)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.51 % (2295)Termination reason: Refutation
% 0.21/0.51
% 0.21/0.51 % (2295)Memory used [KB]: 5628
% 0.21/0.51 % (2295)Time elapsed: 0.069 s
% 0.21/0.51 % (2295)Instructions burned: 9 (million)
% 0.21/0.51 % (2295)------------------------------
% 0.21/0.51 % (2295)------------------------------
% 0.21/0.51 % (2265)Success in time 0.158 s
%------------------------------------------------------------------------------