TSTP Solution File: NUM533+2 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : NUM533+2 : TPTP v8.1.0. Released v4.0.0.
% 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 : n001.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 18:00:24 EDT 2022
% Result : Theorem 1.47s 0.55s
% Output : Refutation 1.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 2
% Syntax : Number of formulae : 15 ( 5 unt; 0 def)
% Number of atoms : 76 ( 0 equ)
% Maximal formula atoms : 9 ( 5 avg)
% Number of connectives : 84 ( 23 ~; 13 |; 35 &)
% ( 0 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 23 ( 19 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f48,plain,
$false,
inference(subsumption_resolution,[],[f47,f37]) ).
fof(f37,plain,
~ aElementOf0(sK0,xC),
inference(cnf_transformation,[],[f25]) ).
fof(f25,plain,
( ~ aSubsetOf0(xA,xC)
& ! [X0] :
( ~ aElementOf0(X0,xA)
| aElementOf0(X0,xB) )
& aSubsetOf0(xB,xC)
& aElementOf0(sK0,xA)
& ~ aElementOf0(sK0,xC)
& aSubsetOf0(xA,xB)
& ! [X2] :
( ~ aElementOf0(X2,xB)
| aElementOf0(X2,xC) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f23,f24]) ).
fof(f24,plain,
( ? [X1] :
( aElementOf0(X1,xA)
& ~ aElementOf0(X1,xC) )
=> ( aElementOf0(sK0,xA)
& ~ aElementOf0(sK0,xC) ) ),
introduced(choice_axiom,[]) ).
fof(f23,plain,
( ~ aSubsetOf0(xA,xC)
& ! [X0] :
( ~ aElementOf0(X0,xA)
| aElementOf0(X0,xB) )
& aSubsetOf0(xB,xC)
& ? [X1] :
( aElementOf0(X1,xA)
& ~ aElementOf0(X1,xC) )
& aSubsetOf0(xA,xB)
& ! [X2] :
( ~ aElementOf0(X2,xB)
| aElementOf0(X2,xC) ) ),
inference(rectify,[],[f22]) ).
fof(f22,plain,
( ~ aSubsetOf0(xA,xC)
& ! [X1] :
( ~ aElementOf0(X1,xA)
| aElementOf0(X1,xB) )
& aSubsetOf0(xB,xC)
& ? [X2] :
( aElementOf0(X2,xA)
& ~ aElementOf0(X2,xC) )
& aSubsetOf0(xA,xB)
& ! [X0] :
( ~ aElementOf0(X0,xB)
| aElementOf0(X0,xC) ) ),
inference(flattening,[],[f21]) ).
fof(f21,plain,
( ~ aSubsetOf0(xA,xC)
& ? [X2] :
( aElementOf0(X2,xA)
& ~ aElementOf0(X2,xC) )
& aSubsetOf0(xB,xC)
& ! [X1] :
( ~ aElementOf0(X1,xA)
| aElementOf0(X1,xB) )
& ! [X0] :
( ~ aElementOf0(X0,xB)
| aElementOf0(X0,xC) )
& aSubsetOf0(xA,xB) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,plain,
~ ( ( aSubsetOf0(xB,xC)
& ! [X1] :
( aElementOf0(X1,xA)
=> aElementOf0(X1,xB) )
& ! [X0] :
( aElementOf0(X0,xB)
=> aElementOf0(X0,xC) )
& aSubsetOf0(xA,xB) )
=> ( aSubsetOf0(xA,xC)
| ! [X2] :
( aElementOf0(X2,xA)
=> aElementOf0(X2,xC) ) ) ),
inference(rectify,[],[f16]) ).
fof(f16,negated_conjecture,
~ ( ( aSubsetOf0(xA,xB)
& ! [X0] :
( aElementOf0(X0,xB)
=> aElementOf0(X0,xC) )
& ! [X0] :
( aElementOf0(X0,xA)
=> aElementOf0(X0,xB) )
& aSubsetOf0(xB,xC) )
=> ( ! [X0] :
( aElementOf0(X0,xA)
=> aElementOf0(X0,xC) )
| aSubsetOf0(xA,xC) ) ),
inference(negated_conjecture,[],[f15]) ).
fof(f15,conjecture,
( ( aSubsetOf0(xA,xB)
& ! [X0] :
( aElementOf0(X0,xB)
=> aElementOf0(X0,xC) )
& ! [X0] :
( aElementOf0(X0,xA)
=> aElementOf0(X0,xB) )
& aSubsetOf0(xB,xC) )
=> ( ! [X0] :
( aElementOf0(X0,xA)
=> aElementOf0(X0,xC) )
| aSubsetOf0(xA,xC) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f47,plain,
aElementOf0(sK0,xC),
inference(resolution,[],[f46,f35]) ).
fof(f35,plain,
! [X2] :
( ~ aElementOf0(X2,xB)
| aElementOf0(X2,xC) ),
inference(cnf_transformation,[],[f25]) ).
fof(f46,plain,
aElementOf0(sK0,xB),
inference(resolution,[],[f40,f38]) ).
fof(f38,plain,
aElementOf0(sK0,xA),
inference(cnf_transformation,[],[f25]) ).
fof(f40,plain,
! [X0] :
( ~ aElementOf0(X0,xA)
| aElementOf0(X0,xB) ),
inference(cnf_transformation,[],[f25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : NUM533+2 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34 % Computer : n001.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 07:23:01 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.30/0.54 % (30169)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)
% 1.47/0.55 % (30168)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)
% 1.47/0.55 % (30168)First to succeed.
% 1.47/0.55 % (30185)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 1.47/0.55 % (30168)Refutation found. Thanks to Tanya!
% 1.47/0.55 % SZS status Theorem for theBenchmark
% 1.47/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 1.47/0.55 % (30168)------------------------------
% 1.47/0.55 % (30168)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.55 % (30168)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.55 % (30168)Termination reason: Refutation
% 1.47/0.55
% 1.47/0.55 % (30168)Memory used [KB]: 5884
% 1.47/0.55 % (30168)Time elapsed: 0.126 s
% 1.47/0.55 % (30168)Instructions burned: 2 (million)
% 1.47/0.55 % (30168)------------------------------
% 1.47/0.55 % (30168)------------------------------
% 1.47/0.55 % (30161)Success in time 0.197 s
%------------------------------------------------------------------------------