TSTP Solution File: NUM561+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : NUM561+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 : n029.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 18:00:35 EDT 2022
% Result : Theorem 0.20s 0.53s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 9
% Syntax : Number of formulae : 32 ( 12 unt; 0 def)
% Number of atoms : 150 ( 39 equ)
% Maximal formula atoms : 18 ( 4 avg)
% Number of connectives : 193 ( 75 ~; 71 |; 36 &)
% ( 4 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-3 aty)
% Number of variables : 77 ( 61 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f150,plain,
$false,
inference(subsumption_resolution,[],[f149,f105]) ).
fof(f105,plain,
aFunction0(xF),
inference(cnf_transformation,[],[f69]) ).
fof(f69,axiom,
aFunction0(xF),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2911) ).
fof(f149,plain,
~ aFunction0(xF),
inference(resolution,[],[f148,f114]) ).
fof(f114,plain,
! [X0] :
( aSet0(szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f86]) ).
fof(f86,plain,
! [X0] :
( ~ aFunction0(X0)
| aSet0(szDzozmdt0(X0)) ),
inference(ennf_transformation,[],[f64]) ).
fof(f64,axiom,
! [X0] :
( aFunction0(X0)
=> aSet0(szDzozmdt0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDomSet) ).
fof(f148,plain,
~ aSet0(szDzozmdt0(xF)),
inference(resolution,[],[f147,f122]) ).
fof(f122,plain,
! [X0] :
( aSubsetOf0(X0,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
! [X0] :
( ~ aSet0(X0)
| aSubsetOf0(X0,X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0] :
( aSet0(X0)
=> aSubsetOf0(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSubRefl) ).
fof(f147,plain,
~ aSubsetOf0(szDzozmdt0(xF),szDzozmdt0(xF)),
inference(subsumption_resolution,[],[f146,f116]) ).
fof(f116,plain,
aElementOf0(xx,szDzozmdt0(xF)),
inference(cnf_transformation,[],[f70]) ).
fof(f70,axiom,
aElementOf0(xx,szDzozmdt0(xF)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2911_02) ).
fof(f146,plain,
( ~ aSubsetOf0(szDzozmdt0(xF),szDzozmdt0(xF))
| ~ aElementOf0(xx,szDzozmdt0(xF)) ),
inference(subsumption_resolution,[],[f145,f105]) ).
fof(f145,plain,
( ~ aFunction0(xF)
| ~ aSubsetOf0(szDzozmdt0(xF),szDzozmdt0(xF))
| ~ aElementOf0(xx,szDzozmdt0(xF)) ),
inference(resolution,[],[f126,f121]) ).
fof(f121,plain,
~ aElementOf0(sdtlpdtrp0(xF,xx),sdtlcdtrc0(xF,szDzozmdt0(xF))),
inference(cnf_transformation,[],[f73]) ).
fof(f73,plain,
~ aElementOf0(sdtlpdtrp0(xF,xx),sdtlcdtrc0(xF,szDzozmdt0(xF))),
inference(flattening,[],[f72]) ).
fof(f72,negated_conjecture,
~ aElementOf0(sdtlpdtrp0(xF,xx),sdtlcdtrc0(xF,szDzozmdt0(xF))),
inference(negated_conjecture,[],[f71]) ).
fof(f71,conjecture,
aElementOf0(sdtlpdtrp0(xF,xx),sdtlcdtrc0(xF,szDzozmdt0(xF))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f126,plain,
! [X0,X1,X4] :
( aElementOf0(sdtlpdtrp0(X0,X4),sdtlcdtrc0(X0,X1))
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0)
| ~ aElementOf0(X4,X1) ),
inference(equality_resolution,[],[f125]) ).
fof(f125,plain,
! [X2,X0,X1,X4] :
( ~ aFunction0(X0)
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| aElementOf0(sdtlpdtrp0(X0,X4),X2)
| ~ aElementOf0(X4,X1)
| sdtlcdtrc0(X0,X1) != X2 ),
inference(equality_resolution,[],[f111]) ).
fof(f111,plain,
! [X2,X3,X0,X1,X4] :
( ~ aFunction0(X0)
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| aElementOf0(X3,X2)
| ~ aElementOf0(X4,X1)
| sdtlpdtrp0(X0,X4) != X3
| sdtlcdtrc0(X0,X1) != X2 ),
inference(cnf_transformation,[],[f97]) ).
fof(f97,plain,
! [X0] :
( ~ aFunction0(X0)
| ! [X1] :
( ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ! [X2] :
( ( ( aSet0(X2)
& ! [X3] :
( ( aElementOf0(X3,X2)
| ! [X4] :
( ~ aElementOf0(X4,X1)
| sdtlpdtrp0(X0,X4) != X3 ) )
& ( ( aElementOf0(sK0(X0,X1,X3),X1)
& sdtlpdtrp0(X0,sK0(X0,X1,X3)) = X3 )
| ~ aElementOf0(X3,X2) ) ) )
| sdtlcdtrc0(X0,X1) != X2 )
& ( sdtlcdtrc0(X0,X1) = X2
| ~ aSet0(X2)
| ( ( ! [X7] :
( ~ aElementOf0(X7,X1)
| sdtlpdtrp0(X0,X7) != sK1(X0,X1,X2) )
| ~ aElementOf0(sK1(X0,X1,X2),X2) )
& ( ( aElementOf0(sK2(X0,X1,X2),X1)
& sdtlpdtrp0(X0,sK2(X0,X1,X2)) = sK1(X0,X1,X2) )
| aElementOf0(sK1(X0,X1,X2),X2) ) ) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f93,f96,f95,f94]) ).
fof(f94,plain,
! [X0,X1,X3] :
( ? [X5] :
( aElementOf0(X5,X1)
& sdtlpdtrp0(X0,X5) = X3 )
=> ( aElementOf0(sK0(X0,X1,X3),X1)
& sdtlpdtrp0(X0,sK0(X0,X1,X3)) = X3 ) ),
introduced(choice_axiom,[]) ).
fof(f95,plain,
! [X0,X1,X2] :
( ? [X6] :
( ( ! [X7] :
( ~ aElementOf0(X7,X1)
| sdtlpdtrp0(X0,X7) != X6 )
| ~ aElementOf0(X6,X2) )
& ( ? [X8] :
( aElementOf0(X8,X1)
& sdtlpdtrp0(X0,X8) = X6 )
| aElementOf0(X6,X2) ) )
=> ( ( ! [X7] :
( ~ aElementOf0(X7,X1)
| sdtlpdtrp0(X0,X7) != sK1(X0,X1,X2) )
| ~ aElementOf0(sK1(X0,X1,X2),X2) )
& ( ? [X8] :
( aElementOf0(X8,X1)
& sdtlpdtrp0(X0,X8) = sK1(X0,X1,X2) )
| aElementOf0(sK1(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f96,plain,
! [X0,X1,X2] :
( ? [X8] :
( aElementOf0(X8,X1)
& sdtlpdtrp0(X0,X8) = sK1(X0,X1,X2) )
=> ( aElementOf0(sK2(X0,X1,X2),X1)
& sdtlpdtrp0(X0,sK2(X0,X1,X2)) = sK1(X0,X1,X2) ) ),
introduced(choice_axiom,[]) ).
fof(f93,plain,
! [X0] :
( ~ aFunction0(X0)
| ! [X1] :
( ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ! [X2] :
( ( ( aSet0(X2)
& ! [X3] :
( ( aElementOf0(X3,X2)
| ! [X4] :
( ~ aElementOf0(X4,X1)
| sdtlpdtrp0(X0,X4) != X3 ) )
& ( ? [X5] :
( aElementOf0(X5,X1)
& sdtlpdtrp0(X0,X5) = X3 )
| ~ aElementOf0(X3,X2) ) ) )
| sdtlcdtrc0(X0,X1) != X2 )
& ( sdtlcdtrc0(X0,X1) = X2
| ~ aSet0(X2)
| ? [X6] :
( ( ! [X7] :
( ~ aElementOf0(X7,X1)
| sdtlpdtrp0(X0,X7) != X6 )
| ~ aElementOf0(X6,X2) )
& ( ? [X8] :
( aElementOf0(X8,X1)
& sdtlpdtrp0(X0,X8) = X6 )
| aElementOf0(X6,X2) ) ) ) ) ) ),
inference(rectify,[],[f92]) ).
fof(f92,plain,
! [X0] :
( ~ aFunction0(X0)
| ! [X1] :
( ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ! [X2] :
( ( ( aSet0(X2)
& ! [X3] :
( ( aElementOf0(X3,X2)
| ! [X4] :
( ~ aElementOf0(X4,X1)
| sdtlpdtrp0(X0,X4) != X3 ) )
& ( ? [X4] :
( aElementOf0(X4,X1)
& sdtlpdtrp0(X0,X4) = X3 )
| ~ aElementOf0(X3,X2) ) ) )
| sdtlcdtrc0(X0,X1) != X2 )
& ( sdtlcdtrc0(X0,X1) = X2
| ~ aSet0(X2)
| ? [X3] :
( ( ! [X4] :
( ~ aElementOf0(X4,X1)
| sdtlpdtrp0(X0,X4) != X3 )
| ~ aElementOf0(X3,X2) )
& ( ? [X4] :
( aElementOf0(X4,X1)
& sdtlpdtrp0(X0,X4) = X3 )
| aElementOf0(X3,X2) ) ) ) ) ) ),
inference(flattening,[],[f91]) ).
fof(f91,plain,
! [X0] :
( ~ aFunction0(X0)
| ! [X1] :
( ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ! [X2] :
( ( ( aSet0(X2)
& ! [X3] :
( ( aElementOf0(X3,X2)
| ! [X4] :
( ~ aElementOf0(X4,X1)
| sdtlpdtrp0(X0,X4) != X3 ) )
& ( ? [X4] :
( aElementOf0(X4,X1)
& sdtlpdtrp0(X0,X4) = X3 )
| ~ aElementOf0(X3,X2) ) ) )
| sdtlcdtrc0(X0,X1) != X2 )
& ( sdtlcdtrc0(X0,X1) = X2
| ~ aSet0(X2)
| ? [X3] :
( ( ! [X4] :
( ~ aElementOf0(X4,X1)
| sdtlpdtrp0(X0,X4) != X3 )
| ~ aElementOf0(X3,X2) )
& ( ? [X4] :
( aElementOf0(X4,X1)
& sdtlpdtrp0(X0,X4) = X3 )
| aElementOf0(X3,X2) ) ) ) ) ) ),
inference(nnf_transformation,[],[f87]) ).
fof(f87,plain,
! [X0] :
( ~ aFunction0(X0)
| ! [X1] :
( ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ! [X2] :
( ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ? [X4] :
( aElementOf0(X4,X1)
& sdtlpdtrp0(X0,X4) = X3 ) ) )
<=> sdtlcdtrc0(X0,X1) = X2 ) ) ),
inference(ennf_transformation,[],[f68]) ).
fof(f68,axiom,
! [X0] :
( aFunction0(X0)
=> ! [X1] :
( aSubsetOf0(X1,szDzozmdt0(X0))
=> ! [X2] :
( ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ? [X4] :
( aElementOf0(X4,X1)
& sdtlpdtrp0(X0,X4) = X3 ) ) )
<=> sdtlcdtrc0(X0,X1) = X2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSImg) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NUM561+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.14 % 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 : n029.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 07:13:12 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.51 % (9419)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.51 % (9432)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.52 % (9417)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)
% 0.20/0.52 % (9420)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)
% 0.20/0.52 % (9423)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.20/0.52 % (9417)First to succeed.
% 0.20/0.52 % (9422)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.53 % (9440)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.20/0.53 % (9417)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 % (9417)------------------------------
% 0.20/0.53 % (9417)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (9417)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (9417)Termination reason: Refutation
% 0.20/0.53
% 0.20/0.53 % (9417)Memory used [KB]: 6012
% 0.20/0.53 % (9417)Time elapsed: 0.105 s
% 0.20/0.53 % (9417)Instructions burned: 3 (million)
% 0.20/0.53 % (9417)------------------------------
% 0.20/0.53 % (9417)------------------------------
% 0.20/0.53 % (9410)Success in time 0.172 s
%------------------------------------------------------------------------------