TSTP Solution File: SYN982-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYN982-1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n018.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 18:11:18 EDT 2024
% Result : Unsatisfiable 0.22s 0.39s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 19
% Syntax : Number of formulae : 54 ( 14 unt; 0 def)
% Number of atoms : 144 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 188 ( 98 ~; 88 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 10 ( 9 usr; 3 prp; 0-1 aty)
% Number of functors : 12 ( 12 usr; 5 con; 0-3 aty)
% Number of variables : 66 ( 66 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f177,plain,
$false,
inference(avatar_sat_refutation,[],[f57,f161,f176]) ).
fof(f176,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f171]) ).
fof(f171,plain,
( $false
| ~ spl0_1 ),
inference(resolution,[],[f53,f2]) ).
fof(f2,axiom,
ssP(t),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause2) ).
fof(f53,plain,
( ! [X1] : ~ ssP(X1)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f52]) ).
fof(f52,plain,
( spl0_1
<=> ! [X1] : ~ ssP(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f161,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f160]) ).
fof(f160,plain,
( $false
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f159,f5]) ).
fof(f5,axiom,
ssP(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause5) ).
fof(f159,plain,
( ~ ssP(a)
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f158,f38]) ).
fof(f38,plain,
ssIm(pair(a,na)),
inference(resolution,[],[f20,f16]) ).
fof(f16,axiom,
ssM(sent(a,b,pair(a,na))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause16) ).
fof(f20,axiom,
! [X2,X0,X1] :
( ~ ssM(sent(X0,X1,X2))
| ssIm(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause20) ).
fof(f158,plain,
( ~ ssIm(pair(a,na))
| ~ ssP(a)
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f154,f40]) ).
fof(f40,plain,
ssIm(na),
inference(resolution,[],[f38,f14]) ).
fof(f14,axiom,
! [X0,X1] :
( ~ ssIm(pair(X0,X1))
| ssIm(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause14) ).
fof(f154,plain,
( ~ ssIm(na)
| ~ ssIm(pair(a,na))
| ~ ssP(a)
| ~ spl0_2 ),
inference(resolution,[],[f132,f111]) ).
fof(f111,plain,
! [X0] :
( ssIm(encr(triple(X0,na,tb(na)),bt))
| ~ ssIm(pair(X0,na))
| ~ ssP(X0) ),
inference(resolution,[],[f87,f17]) ).
fof(f17,axiom,
! [X2,X0,X1] :
( ~ ssIm(triple(X0,X1,X2))
| ssIm(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause17) ).
fof(f87,plain,
! [X0] :
( ssIm(triple(b,nb(na),encr(triple(X0,na,tb(na)),bt)))
| ~ ssP(X0)
| ~ ssIm(pair(X0,na)) ),
inference(resolution,[],[f69,f20]) ).
fof(f69,plain,
! [X0] :
( ssM(sent(b,t,triple(b,nb(na),encr(triple(X0,na,tb(na)),bt))))
| ~ ssIm(pair(X0,na))
| ~ ssP(X0) ),
inference(subsumption_resolution,[],[f68,f4]) ).
fof(f4,axiom,
ssP(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause4) ).
fof(f68,plain,
! [X0] :
( ssM(sent(b,t,triple(b,nb(na),encr(triple(X0,na,tb(na)),bt))))
| ~ ssP(b)
| ~ ssIm(pair(X0,na))
| ~ ssP(X0) ),
inference(resolution,[],[f66,f27]) ).
fof(f27,axiom,
! [X2,X0,X1] :
( ssM(sent(X1,X2,X0))
| ~ ssP(X2)
| ~ ssIm(X0)
| ~ ssP(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause27) ).
fof(f66,plain,
! [X0] :
( ~ ssM(sent(X0,b,pair(X0,na)))
| ssM(sent(b,t,triple(b,nb(na),encr(triple(X0,na,tb(na)),bt)))) ),
inference(resolution,[],[f33,f3]) ).
fof(f3,axiom,
ssBf(na),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause3) ).
fof(f33,axiom,
! [X0,X1] :
( ~ ssBf(X1)
| ~ ssM(sent(X0,b,pair(X0,X1)))
| ssM(sent(b,t,triple(b,nb(X1),encr(triple(X0,X1,tb(X1)),bt)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause33) ).
fof(f132,plain,
( ! [X0] :
( ~ ssIm(encr(triple(a,X0,tb(na)),bt))
| ~ ssIm(X0) )
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f131,f42]) ).
fof(f42,plain,
! [X0] :
( ~ ssBk(key(X0,a))
| ~ ssIm(X0) ),
inference(subsumption_resolution,[],[f41,f4]) ).
fof(f41,plain,
! [X0] :
( ~ ssIm(X0)
| ~ ssP(b)
| ~ ssBk(key(X0,a)) ),
inference(resolution,[],[f25,f37]) ).
fof(f37,axiom,
! [X0] :
( ~ ssIk(key(X0,b))
| ~ ssBk(key(X0,a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause37) ).
fof(f25,axiom,
! [X0,X1] :
( ssIk(key(X0,X1))
| ~ ssIm(X0)
| ~ ssP(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause25) ).
fof(f131,plain,
( ! [X0] :
( ~ ssIm(encr(triple(a,X0,tb(na)),bt))
| ~ ssIm(X0)
| ssBk(key(X0,a)) )
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f128,f5]) ).
fof(f128,plain,
( ! [X0] :
( ~ ssP(a)
| ~ ssIm(encr(triple(a,X0,tb(na)),bt))
| ~ ssIm(X0)
| ssBk(key(X0,a)) )
| ~ spl0_2 ),
inference(resolution,[],[f126,f59]) ).
fof(f59,plain,
ssSb(pair(a,na)),
inference(resolution,[],[f58,f16]) ).
fof(f58,plain,
! [X0] :
( ~ ssM(sent(X0,b,pair(X0,na)))
| ssSb(pair(X0,na)) ),
inference(resolution,[],[f30,f3]) ).
fof(f30,axiom,
! [X0,X1] :
( ~ ssBf(X1)
| ssSb(pair(X0,X1))
| ~ ssM(sent(X0,b,pair(X0,X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause30) ).
fof(f126,plain,
( ! [X0,X1] :
( ~ ssSb(pair(X0,na))
| ~ ssP(X0)
| ~ ssIm(encr(triple(X0,X1,tb(na)),bt))
| ~ ssIm(X1)
| ssBk(key(X1,X0)) )
| ~ spl0_2 ),
inference(resolution,[],[f108,f75]) ).
fof(f75,plain,
ssIm(nb(na)),
inference(resolution,[],[f72,f18]) ).
fof(f18,axiom,
! [X2,X0,X1] :
( ~ ssIm(triple(X0,X1,X2))
| ssIm(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause18) ).
fof(f72,plain,
ssIm(triple(b,nb(na),encr(triple(a,na,tb(na)),bt))),
inference(resolution,[],[f67,f20]) ).
fof(f67,plain,
ssM(sent(b,t,triple(b,nb(na),encr(triple(a,na,tb(na)),bt)))),
inference(resolution,[],[f66,f16]) ).
fof(f108,plain,
( ! [X2,X0,X1] :
( ~ ssIm(nb(X2))
| ~ ssP(X1)
| ~ ssSb(pair(X1,X2))
| ~ ssIm(encr(triple(X1,X0,tb(X2)),bt))
| ~ ssIm(X0)
| ssBk(key(X0,X1)) )
| ~ spl0_2 ),
inference(resolution,[],[f79,f56]) ).
fof(f56,plain,
( ! [X2,X0] :
( ssIm(encr(X0,X2))
| ~ ssIm(X2)
| ~ ssIm(X0) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f55]) ).
fof(f55,plain,
( spl0_2
<=> ! [X2,X0] :
( ~ ssIm(X0)
| ~ ssIm(X2)
| ssIm(encr(X0,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f79,plain,
! [X2,X0,X1] :
( ~ ssIm(encr(nb(X1),X2))
| ssBk(key(X2,X0))
| ~ ssP(X0)
| ~ ssSb(pair(X0,X1))
| ~ ssIm(encr(triple(X0,X2,tb(X1)),bt)) ),
inference(resolution,[],[f71,f26]) ).
fof(f26,axiom,
! [X0,X1] :
( ssIm(pair(X0,X1))
| ~ ssIm(X1)
| ~ ssIm(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause26) ).
fof(f71,plain,
! [X2,X0,X1] :
( ~ ssIm(pair(encr(triple(X1,X0,tb(X2)),bt),encr(nb(X2),X0)))
| ~ ssSb(pair(X1,X2))
| ssBk(key(X0,X1))
| ~ ssP(X1) ),
inference(subsumption_resolution,[],[f70,f4]) ).
fof(f70,plain,
! [X2,X0,X1] :
( ssBk(key(X0,X1))
| ~ ssSb(pair(X1,X2))
| ~ ssP(b)
| ~ ssIm(pair(encr(triple(X1,X0,tb(X2)),bt),encr(nb(X2),X0)))
| ~ ssP(X1) ),
inference(resolution,[],[f34,f27]) ).
fof(f34,axiom,
! [X2,X0,X1] :
( ~ ssM(sent(X0,b,pair(encr(triple(X0,X1,tb(X2)),bt),encr(nb(X2),X1))))
| ssBk(key(X1,X0))
| ~ ssSb(pair(X0,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause34) ).
fof(f57,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f50,f55,f52]) ).
fof(f50,plain,
! [X2,X0,X1] :
( ~ ssIm(X0)
| ~ ssP(X1)
| ssIm(encr(X0,X2))
| ~ ssIm(X2) ),
inference(duplicate_literal_removal,[],[f49]) ).
fof(f49,plain,
! [X2,X0,X1] :
( ~ ssIm(X0)
| ~ ssP(X1)
| ssIm(encr(X0,X2))
| ~ ssIm(X2)
| ~ ssP(X1) ),
inference(resolution,[],[f29,f25]) ).
fof(f29,axiom,
! [X2,X0,X1] :
( ~ ssIk(key(X1,X2))
| ~ ssIm(X0)
| ~ ssP(X2)
| ssIm(encr(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause29) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SYN982-1 : TPTP v8.1.2. Released v3.1.0.
% 0.04/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n018.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Tue Apr 30 02:07:58 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (29219)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (29223)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.38 % (29222)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.14/0.38 % (29225)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.38 % (29220)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.38 % (29221)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.38 % (29224)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.38 % (29226)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.22/0.38 TRYING [1]
% 0.22/0.38 TRYING [1]
% 0.22/0.39 % (29225)First to succeed.
% 0.22/0.39 TRYING [1]
% 0.22/0.39 TRYING [1]
% 0.22/0.39 TRYING [2]
% 0.22/0.39 TRYING [2]
% 0.22/0.39 TRYING [2]
% 0.22/0.39 TRYING [2]
% 0.22/0.39 % (29222)Also succeeded, but the first one will report.
% 0.22/0.39 % (29225)Refutation found. Thanks to Tanya!
% 0.22/0.39 % SZS status Unsatisfiable for theBenchmark
% 0.22/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.39 % (29225)------------------------------
% 0.22/0.39 % (29225)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.22/0.39 % (29225)Termination reason: Refutation
% 0.22/0.39
% 0.22/0.39 % (29225)Memory used [KB]: 865
% 0.22/0.39 % (29225)Time elapsed: 0.007 s
% 0.22/0.39 % (29225)Instructions burned: 9 (million)
% 0.22/0.39 % (29225)------------------------------
% 0.22/0.39 % (29225)------------------------------
% 0.22/0.39 % (29219)Success in time 0.012 s
%------------------------------------------------------------------------------