TSTP Solution File: RNG047+2 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : RNG047+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 : n023.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 18:14:34 EDT 2022
% Result : Theorem 0.15s 0.51s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 29 ( 14 unt; 0 def)
% Number of atoms : 89 ( 45 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 84 ( 24 ~; 15 |; 27 &)
% ( 1 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 2 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 23 ( 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f246,plain,
$false,
inference(avatar_sat_refutation,[],[f199,f245]) ).
fof(f245,plain,
~ spl2_6,
inference(avatar_split_clause,[],[f244,f120]) ).
fof(f120,plain,
( spl2_6
<=> aDimensionOf0(xs) = szszuzczcdt0(aDimensionOf0(sziznziztdt0(xs))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_6])]) ).
fof(f244,plain,
aDimensionOf0(xs) != szszuzczcdt0(aDimensionOf0(sziznziztdt0(xs))),
inference(forward_demodulation,[],[f229,f213]) ).
fof(f213,plain,
aDimensionOf0(xs) = szszuzczcdt0(aDimensionOf0(sziznziztdt0(xt))),
inference(forward_demodulation,[],[f81,f63]) ).
fof(f63,plain,
aDimensionOf0(xs) = aDimensionOf0(xt),
inference(cnf_transformation,[],[f34]) ).
fof(f34,axiom,
( sz00 != aDimensionOf0(xt)
& aDimensionOf0(xs) = aDimensionOf0(xt) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1329_01) ).
fof(f81,plain,
aDimensionOf0(xt) = szszuzczcdt0(aDimensionOf0(sziznziztdt0(xt))),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
( ! [X1] :
( ~ aNaturalNumber0(X1)
| sdtlbdtrb0(sziznziztdt0(xt),X1) = sdtlbdtrb0(xt,X1) )
& aDimensionOf0(xt) = szszuzczcdt0(aDimensionOf0(sziznziztdt0(xt)))
& aVector0(sziznziztdt0(xs))
& aVector0(sziznziztdt0(xt))
& aDimensionOf0(xs) = szszuzczcdt0(aDimensionOf0(sziznziztdt0(xs)))
& ! [X0] :
( sdtlbdtrb0(sziznziztdt0(xs),X0) = sdtlbdtrb0(xs,X0)
| ~ aNaturalNumber0(X0) )
& aDimensionOf0(sziznziztdt0(xs)) != aDimensionOf0(sziznziztdt0(xt)) ),
inference(flattening,[],[f55]) ).
fof(f55,plain,
( aDimensionOf0(sziznziztdt0(xs)) != aDimensionOf0(sziznziztdt0(xt))
& aDimensionOf0(xt) = szszuzczcdt0(aDimensionOf0(sziznziztdt0(xt)))
& aVector0(sziznziztdt0(xt))
& ! [X1] :
( ~ aNaturalNumber0(X1)
| sdtlbdtrb0(sziznziztdt0(xt),X1) = sdtlbdtrb0(xt,X1) )
& ! [X0] :
( sdtlbdtrb0(sziznziztdt0(xs),X0) = sdtlbdtrb0(xs,X0)
| ~ aNaturalNumber0(X0) )
& aVector0(sziznziztdt0(xs))
& aDimensionOf0(xs) = szszuzczcdt0(aDimensionOf0(sziznziztdt0(xs))) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,plain,
~ ( ( ! [X0] :
( aNaturalNumber0(X0)
=> sdtlbdtrb0(sziznziztdt0(xs),X0) = sdtlbdtrb0(xs,X0) )
& aVector0(sziznziztdt0(xs))
& aDimensionOf0(xs) = szszuzczcdt0(aDimensionOf0(sziznziztdt0(xs))) )
=> ( ( aDimensionOf0(xt) = szszuzczcdt0(aDimensionOf0(sziznziztdt0(xt)))
& aVector0(sziznziztdt0(xt))
& ! [X1] :
( aNaturalNumber0(X1)
=> sdtlbdtrb0(sziznziztdt0(xt),X1) = sdtlbdtrb0(xt,X1) ) )
=> aDimensionOf0(sziznziztdt0(xs)) = aDimensionOf0(sziznziztdt0(xt)) ) ),
inference(rectify,[],[f36]) ).
fof(f36,negated_conjecture,
~ ( ( ! [X0] :
( aNaturalNumber0(X0)
=> sdtlbdtrb0(sziznziztdt0(xs),X0) = sdtlbdtrb0(xs,X0) )
& aVector0(sziznziztdt0(xs))
& aDimensionOf0(xs) = szszuzczcdt0(aDimensionOf0(sziznziztdt0(xs))) )
=> ( ( aDimensionOf0(xt) = szszuzczcdt0(aDimensionOf0(sziznziztdt0(xt)))
& ! [X0] :
( aNaturalNumber0(X0)
=> sdtlbdtrb0(sziznziztdt0(xt),X0) = sdtlbdtrb0(xt,X0) )
& aVector0(sziznziztdt0(xt)) )
=> aDimensionOf0(sziznziztdt0(xs)) = aDimensionOf0(sziznziztdt0(xt)) ) ),
inference(negated_conjecture,[],[f35]) ).
fof(f35,conjecture,
( ( ! [X0] :
( aNaturalNumber0(X0)
=> sdtlbdtrb0(sziznziztdt0(xs),X0) = sdtlbdtrb0(xs,X0) )
& aVector0(sziznziztdt0(xs))
& aDimensionOf0(xs) = szszuzczcdt0(aDimensionOf0(sziznziztdt0(xs))) )
=> ( ( aDimensionOf0(xt) = szszuzczcdt0(aDimensionOf0(sziznziztdt0(xt)))
& ! [X0] :
( aNaturalNumber0(X0)
=> sdtlbdtrb0(sziznziztdt0(xt),X0) = sdtlbdtrb0(xt,X0) )
& aVector0(sziznziztdt0(xt)) )
=> aDimensionOf0(sziznziztdt0(xs)) = aDimensionOf0(sziznziztdt0(xt)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f229,plain,
szszuzczcdt0(aDimensionOf0(sziznziztdt0(xs))) != szszuzczcdt0(aDimensionOf0(sziznziztdt0(xt))),
inference(unit_resulting_resolution,[],[f124,f77,f143,f60]) ).
fof(f60,plain,
! [X0,X1] :
( szszuzczcdt0(X0) != szszuzczcdt0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| szszuzczcdt0(X0) != szszuzczcdt0(X1)
| X0 = X1
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f45]) ).
fof(f45,plain,
! [X0,X1] :
( X0 = X1
| szszuzczcdt0(X0) != szszuzczcdt0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( szszuzczcdt0(X0) = szszuzczcdt0(X1)
=> X0 = X1 ) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X1,X0] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( szszuzczcdt0(X0) = szszuzczcdt0(X1)
=> X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSuccEqu) ).
fof(f143,plain,
aNaturalNumber0(aDimensionOf0(sziznziztdt0(xs))),
inference(unit_resulting_resolution,[],[f80,f74]) ).
fof(f74,plain,
! [X0] :
( ~ aVector0(X0)
| aNaturalNumber0(aDimensionOf0(X0)) ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0] :
( ~ aVector0(X0)
| aNaturalNumber0(aDimensionOf0(X0)) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,axiom,
! [X0] :
( aVector0(X0)
=> aNaturalNumber0(aDimensionOf0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDimNat) ).
fof(f80,plain,
aVector0(sziznziztdt0(xs)),
inference(cnf_transformation,[],[f56]) ).
fof(f77,plain,
aDimensionOf0(sziznziztdt0(xs)) != aDimensionOf0(sziznziztdt0(xt)),
inference(cnf_transformation,[],[f56]) ).
fof(f124,plain,
aNaturalNumber0(aDimensionOf0(sziznziztdt0(xt))),
inference(unit_resulting_resolution,[],[f79,f74]) ).
fof(f79,plain,
aVector0(sziznziztdt0(xt)),
inference(cnf_transformation,[],[f56]) ).
fof(f199,plain,
spl2_6,
inference(avatar_split_clause,[],[f78,f120]) ).
fof(f78,plain,
aDimensionOf0(xs) = szszuzczcdt0(aDimensionOf0(sziznziztdt0(xs))),
inference(cnf_transformation,[],[f56]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : RNG047+2 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.11 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.10/0.32 % Computer : n023.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Tue Aug 30 12:16:50 EDT 2022
% 0.10/0.32 % CPUTime :
% 0.15/0.47 % (2059)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)
% 0.15/0.48 % (2044)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)
% 0.15/0.48 % (2057)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)
% 0.15/0.48 % (2043)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)
% 0.15/0.48 % (2050)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.15/0.48 % (2042)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)
% 0.15/0.48 % (2052)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.15/0.48 % (2065)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)
% 0.15/0.49 % (2049)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.15/0.49 % (2044)First to succeed.
% 0.15/0.49 % (2058)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.15/0.49 % (2060)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.15/0.50 % (2050)Instruction limit reached!
% 0.15/0.50 % (2050)------------------------------
% 0.15/0.50 % (2050)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.50 % (2050)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.50 % (2050)Termination reason: Unknown
% 0.15/0.50 % (2050)Termination phase: Inequality splitting
% 0.15/0.50
% 0.15/0.50 % (2050)Memory used [KB]: 1407
% 0.15/0.50 % (2050)Time elapsed: 0.004 s
% 0.15/0.50 % (2050)Instructions burned: 3 (million)
% 0.15/0.50 % (2050)------------------------------
% 0.15/0.50 % (2050)------------------------------
% 0.15/0.51 % (2051)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.15/0.51 % (2051)Instruction limit reached!
% 0.15/0.51 % (2051)------------------------------
% 0.15/0.51 % (2051)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.51 % (2051)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.51 % (2051)Termination reason: Unknown
% 0.15/0.51 % (2051)Termination phase: Saturation
% 0.15/0.51
% 0.15/0.51 % (2051)Memory used [KB]: 6140
% 0.15/0.51 % (2051)Time elapsed: 0.133 s
% 0.15/0.51 % (2051)Instructions burned: 8 (million)
% 0.15/0.51 % (2051)------------------------------
% 0.15/0.51 % (2051)------------------------------
% 0.15/0.51 % (2044)Refutation found. Thanks to Tanya!
% 0.15/0.51 % SZS status Theorem for theBenchmark
% 0.15/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.51 % (2044)------------------------------
% 0.15/0.51 % (2044)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.51 % (2044)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.51 % (2044)Termination reason: Refutation
% 0.15/0.51
% 0.15/0.51 % (2044)Memory used [KB]: 6140
% 0.15/0.51 % (2044)Time elapsed: 0.115 s
% 0.15/0.51 % (2044)Instructions burned: 6 (million)
% 0.15/0.51 % (2044)------------------------------
% 0.15/0.51 % (2044)------------------------------
% 0.15/0.51 % (2035)Success in time 0.186 s
%------------------------------------------------------------------------------