TSTP Solution File: SET073+1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET073+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 : n026.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 0.20s 0.53s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 19 ( 7 unt; 0 def)
% Number of atoms : 56 ( 24 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 57 ( 20 ~; 17 |; 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 : 31 ( 27 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f319,plain,
$false,
inference(subsumption_resolution,[],[f318,f236]) ).
fof(f236,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(f318,plain,
member(sK6,null_class),
inference(superposition,[],[f315,f220]) ).
fof(f220,plain,
null_class = unordered_pair(sK6,sK7),
inference(cnf_transformation,[],[f139]) ).
fof(f139,plain,
( null_class = unordered_pair(sK6,sK7)
& member(sK6,universal_class) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7])],[f79,f138]) ).
fof(f138,plain,
( ? [X0,X1] :
( unordered_pair(X0,X1) = null_class
& member(X0,universal_class) )
=> ( null_class = unordered_pair(sK6,sK7)
& member(sK6,universal_class) ) ),
introduced(choice_axiom,[]) ).
fof(f79,plain,
? [X0,X1] :
( unordered_pair(X0,X1) = null_class
& member(X0,universal_class) ),
inference(ennf_transformation,[],[f45]) ).
fof(f45,negated_conjecture,
~ ! [X1,X0] :
( member(X0,universal_class)
=> unordered_pair(X0,X1) != null_class ),
inference(negated_conjecture,[],[f44]) ).
fof(f44,conjecture,
! [X1,X0] :
( member(X0,universal_class)
=> unordered_pair(X0,X1) != null_class ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',corollary1_1) ).
fof(f315,plain,
! [X13] : member(sK6,unordered_pair(sK6,X13)),
inference(resolution,[],[f282,f219]) ).
fof(f219,plain,
member(sK6,universal_class),
inference(cnf_transformation,[],[f139]) ).
fof(f282,plain,
! [X2,X0] :
( ~ member(X2,universal_class)
| member(X2,unordered_pair(X2,X0)) ),
inference(equality_resolution,[],[f232]) ).
fof(f232,plain,
! [X2,X0,X1] :
( member(X2,unordered_pair(X1,X0))
| ~ member(X2,universal_class)
| X1 != X2 ),
inference(cnf_transformation,[],[f148]) ).
fof(f148,plain,
! [X0,X1,X2] :
( ( member(X2,unordered_pair(X1,X0))
| ~ member(X2,universal_class)
| ( X0 != X2
& X1 != X2 ) )
& ( ( member(X2,universal_class)
& ( X0 = X2
| X1 = X2 ) )
| ~ member(X2,unordered_pair(X1,X0)) ) ),
inference(rectify,[],[f147]) ).
fof(f147,plain,
! [X0,X2,X1] :
( ( 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(flattening,[],[f146]) ).
fof(f146,plain,
! [X0,X2,X1] :
( ( 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(nnf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0,X2,X1] :
( member(X1,unordered_pair(X2,X0))
<=> ( member(X1,universal_class)
& ( X0 = X1
| X1 = X2 ) ) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X1,X2,X0] :
( member(X2,unordered_pair(X0,X1))
<=> ( member(X2,universal_class)
& ( X0 = X2
| X1 = X2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pair_defn) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET073+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 : n026.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 13:22:36 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.49 % (1511)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)
% 0.20/0.50 % (1528)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)
% 0.20/0.51 % (1509)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51 % (1520)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)
% 0.20/0.51 % (1517)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.52 % (1534)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.52 % (1528)First to succeed.
% 0.20/0.53 % (1505)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.20/0.53 % (1523)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.53 % (1510)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.53 % (1532)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)
% 0.20/0.53 % (1507)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)
% 0.20/0.53 % (1533)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.20/0.53 % (1528)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 % (1528)------------------------------
% 0.20/0.53 % (1528)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (1528)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (1528)Termination reason: Refutation
% 0.20/0.53
% 0.20/0.53 % (1528)Memory used [KB]: 1151
% 0.20/0.53 % (1528)Time elapsed: 0.124 s
% 0.20/0.53 % (1528)Instructions burned: 7 (million)
% 0.20/0.53 % (1528)------------------------------
% 0.20/0.53 % (1528)------------------------------
% 0.20/0.53 % (1503)Success in time 0.182 s
%------------------------------------------------------------------------------