TSTP Solution File: NUM533+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : NUM533+1 : 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 : n017.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 1.52s 0.57s
% Output : Refutation 1.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 26 ( 11 unt; 0 def)
% Number of atoms : 88 ( 0 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 100 ( 38 ~; 31 |; 24 &)
% ( 2 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 31 ( 27 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f54,plain,
$false,
inference(subsumption_resolution,[],[f52,f51]) ).
fof(f51,plain,
~ aElementOf0(sK0(xC,xA),xB),
inference(unit_resulting_resolution,[],[f37,f41,f47,f34]) ).
fof(f34,plain,
! [X2,X0,X1] :
( ~ aSubsetOf0(X1,X0)
| aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0] :
( ~ aSet0(X0)
| ! [X1] :
( ( ( ! [X2] :
( ~ aElementOf0(X2,X1)
| aElementOf0(X2,X0) )
& aSet0(X1) )
| ~ aSubsetOf0(X1,X0) )
& ( aSubsetOf0(X1,X0)
| ( aElementOf0(sK0(X0,X1),X1)
& ~ aElementOf0(sK0(X0,X1),X0) )
| ~ aSet0(X1) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f28,f29]) ).
fof(f29,plain,
! [X0,X1] :
( ? [X3] :
( aElementOf0(X3,X1)
& ~ aElementOf0(X3,X0) )
=> ( aElementOf0(sK0(X0,X1),X1)
& ~ aElementOf0(sK0(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f28,plain,
! [X0] :
( ~ aSet0(X0)
| ! [X1] :
( ( ( ! [X2] :
( ~ aElementOf0(X2,X1)
| aElementOf0(X2,X0) )
& aSet0(X1) )
| ~ aSubsetOf0(X1,X0) )
& ( aSubsetOf0(X1,X0)
| ? [X3] :
( aElementOf0(X3,X1)
& ~ aElementOf0(X3,X0) )
| ~ aSet0(X1) ) ) ),
inference(rectify,[],[f27]) ).
fof(f27,plain,
! [X0] :
( ~ aSet0(X0)
| ! [X1] :
( ( ( ! [X2] :
( ~ aElementOf0(X2,X1)
| aElementOf0(X2,X0) )
& aSet0(X1) )
| ~ aSubsetOf0(X1,X0) )
& ( aSubsetOf0(X1,X0)
| ? [X2] :
( aElementOf0(X2,X1)
& ~ aElementOf0(X2,X0) )
| ~ aSet0(X1) ) ) ),
inference(flattening,[],[f26]) ).
fof(f26,plain,
! [X0] :
( ~ aSet0(X0)
| ! [X1] :
( ( ( ! [X2] :
( ~ aElementOf0(X2,X1)
| aElementOf0(X2,X0) )
& aSet0(X1) )
| ~ aSubsetOf0(X1,X0) )
& ( aSubsetOf0(X1,X0)
| ? [X2] :
( aElementOf0(X2,X1)
& ~ aElementOf0(X2,X0) )
| ~ aSet0(X1) ) ) ),
inference(nnf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0] :
( ~ aSet0(X0)
| ! [X1] :
( ( ! [X2] :
( ~ aElementOf0(X2,X1)
| aElementOf0(X2,X0) )
& aSet0(X1) )
<=> aSubsetOf0(X1,X0) ) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( ( ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,X0) )
& aSet0(X1) )
<=> aSubsetOf0(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSub) ).
fof(f47,plain,
~ aElementOf0(sK0(xC,xA),xC),
inference(unit_resulting_resolution,[],[f36,f40,f37,f31]) ).
fof(f31,plain,
! [X0,X1] :
( ~ aElementOf0(sK0(X0,X1),X0)
| ~ aSet0(X0)
| ~ aSet0(X1)
| aSubsetOf0(X1,X0) ),
inference(cnf_transformation,[],[f30]) ).
fof(f40,plain,
~ aSubsetOf0(xA,xC),
inference(cnf_transformation,[],[f25]) ).
fof(f25,plain,
( aSubsetOf0(xB,xC)
& ~ aSubsetOf0(xA,xC)
& aSubsetOf0(xA,xB) ),
inference(flattening,[],[f24]) ).
fof(f24,plain,
( ~ aSubsetOf0(xA,xC)
& aSubsetOf0(xA,xB)
& aSubsetOf0(xB,xC) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,negated_conjecture,
~ ( ( aSubsetOf0(xA,xB)
& aSubsetOf0(xB,xC) )
=> aSubsetOf0(xA,xC) ),
inference(negated_conjecture,[],[f15]) ).
fof(f15,conjecture,
( ( aSubsetOf0(xA,xB)
& aSubsetOf0(xB,xC) )
=> aSubsetOf0(xA,xC) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f36,plain,
aSet0(xA),
inference(cnf_transformation,[],[f14]) ).
fof(f14,axiom,
( aSet0(xC)
& aSet0(xA)
& aSet0(xB) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__522) ).
fof(f41,plain,
aSubsetOf0(xB,xC),
inference(cnf_transformation,[],[f25]) ).
fof(f37,plain,
aSet0(xC),
inference(cnf_transformation,[],[f14]) ).
fof(f52,plain,
aElementOf0(sK0(xC,xA),xB),
inference(unit_resulting_resolution,[],[f35,f39,f48,f34]) ).
fof(f48,plain,
aElementOf0(sK0(xC,xA),xA),
inference(unit_resulting_resolution,[],[f36,f40,f37,f32]) ).
fof(f32,plain,
! [X0,X1] :
( aElementOf0(sK0(X0,X1),X1)
| ~ aSet0(X0)
| ~ aSet0(X1)
| aSubsetOf0(X1,X0) ),
inference(cnf_transformation,[],[f30]) ).
fof(f39,plain,
aSubsetOf0(xA,xB),
inference(cnf_transformation,[],[f25]) ).
fof(f35,plain,
aSet0(xB),
inference(cnf_transformation,[],[f14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM533+1 : TPTP v8.1.0. Released v4.0.0.
% 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 : n017.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 06:32:35 EDT 2022
% 0.13/0.35 % CPUTime :
% 1.52/0.55 % (29860)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)
% 1.52/0.56 % (29886)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.52/0.56 % (29860)First to succeed.
% 1.52/0.56 % (29878)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 1.52/0.56 % (29866)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 1.52/0.56 % (29875)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.52/0.56 % (29866)Also succeeded, but the first one will report.
% 1.52/0.57 % (29860)Refutation found. Thanks to Tanya!
% 1.52/0.57 % SZS status Theorem for theBenchmark
% 1.52/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 1.52/0.57 % (29860)------------------------------
% 1.52/0.57 % (29860)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.57 % (29860)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.57 % (29860)Termination reason: Refutation
% 1.52/0.57
% 1.52/0.57 % (29860)Memory used [KB]: 5884
% 1.52/0.57 % (29860)Time elapsed: 0.126 s
% 1.52/0.57 % (29860)Instructions burned: 2 (million)
% 1.52/0.57 % (29860)------------------------------
% 1.52/0.57 % (29860)------------------------------
% 1.52/0.57 % (29856)Success in time 0.211 s
%------------------------------------------------------------------------------