TSTP Solution File: SET074+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SET074+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n022.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 : Tue Apr 30 15:05:27 EDT 2024
% Result : Theorem 0.14s 0.45s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 18 ( 6 unt; 0 def)
% Number of atoms : 49 ( 20 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 49 ( 18 ~; 14 |; 12 &)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 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 : 27 ( 23 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f275,plain,
$false,
inference(resolution,[],[f274,f135]) ).
fof(f135,plain,
member(sK1,universal_class),
inference(cnf_transformation,[],[f86]) ).
fof(f86,plain,
( null_class = unordered_pair(sK0,sK1)
& member(sK1,universal_class) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f71,f85]) ).
fof(f85,plain,
( ? [X0,X1] :
( unordered_pair(X0,X1) = null_class
& member(X1,universal_class) )
=> ( null_class = unordered_pair(sK0,sK1)
& member(sK1,universal_class) ) ),
introduced(choice_axiom,[]) ).
fof(f71,plain,
? [X0,X1] :
( 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/sandbox/benchmark/theBenchmark.p',corollary1_2) ).
fof(f274,plain,
~ member(sK1,universal_class),
inference(resolution,[],[f272,f139]) ).
fof(f139,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(f272,plain,
( member(sK1,null_class)
| ~ member(sK1,universal_class) ),
inference(superposition,[],[f228,f136]) ).
fof(f136,plain,
null_class = unordered_pair(sK0,sK1),
inference(cnf_transformation,[],[f86]) ).
fof(f228,plain,
! [X2,X1] :
( member(X2,unordered_pair(X1,X2))
| ~ member(X2,universal_class) ),
inference(equality_resolution,[],[f206]) ).
fof(f206,plain,
! [X2,X0,X1] :
( member(X0,unordered_pair(X1,X2))
| X0 != X2
| ~ member(X0,universal_class) ),
inference(cnf_transformation,[],[f122]) ).
fof(f122,plain,
! [X0,X1,X2] :
( ( member(X0,unordered_pair(X1,X2))
| ( X0 != X2
& X0 != X1 )
| ~ member(X0,universal_class) )
& ( ( ( X0 = X2
| X0 = X1 )
& member(X0,universal_class) )
| ~ member(X0,unordered_pair(X1,X2)) ) ),
inference(flattening,[],[f121]) ).
fof(f121,plain,
! [X0,X1,X2] :
( ( member(X0,unordered_pair(X1,X2))
| ( X0 != X2
& X0 != X1 )
| ~ member(X0,universal_class) )
& ( ( ( X0 = X2
| X0 = X1 )
& member(X0,universal_class) )
| ~ member(X0,unordered_pair(X1,X2)) ) ),
inference(nnf_transformation,[],[f64]) ).
fof(f64,plain,
! [X0,X1,X2] :
( member(X0,unordered_pair(X1,X2))
<=> ( ( X0 = X2
| X0 = X1 )
& member(X0,universal_class) ) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X2,X0,X1] :
( member(X2,unordered_pair(X0,X1))
<=> ( ( X1 = X2
| X0 = X2 )
& member(X2,universal_class) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pair_defn) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.19 % Problem : SET074+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.12/0.21 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.42 % Computer : n022.cluster.edu
% 0.14/0.42 % Model : x86_64 x86_64
% 0.14/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.42 % Memory : 8042.1875MB
% 0.14/0.42 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.42 % CPULimit : 300
% 0.14/0.42 % WCLimit : 300
% 0.14/0.42 % DateTime : Tue Apr 30 01:03:28 EDT 2024
% 0.14/0.42 % CPUTime :
% 0.14/0.42 % (25165)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.44 % (25168)WARNING: value z3 for option sas not known
% 0.14/0.44 % (25169)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.44 % (25166)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.44 % (25170)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.44 % (25171)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.44 % (25167)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.44 % (25172)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.14/0.44 % (25168)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.45 % (25171)First to succeed.
% 0.14/0.45 % (25168)Also succeeded, but the first one will report.
% 0.14/0.45 % (25171)Refutation found. Thanks to Tanya!
% 0.14/0.45 % SZS status Theorem for theBenchmark
% 0.14/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.45 % (25171)------------------------------
% 0.14/0.45 % (25171)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.45 % (25171)Termination reason: Refutation
% 0.14/0.45
% 0.14/0.45 % (25171)Memory used [KB]: 955
% 0.14/0.45 % (25171)Time elapsed: 0.008 s
% 0.14/0.45 % (25171)Instructions burned: 11 (million)
% 0.14/0.45 % (25171)------------------------------
% 0.14/0.45 % (25171)------------------------------
% 0.14/0.45 % (25165)Success in time 0.014 s
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