TSTP Solution File: SYN630-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYN630-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n007.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 18:04:37 EDT 2024
% Result : Unsatisfiable 0.14s 0.39s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 12
% Syntax : Number of formulae : 33 ( 9 unt; 0 def)
% Number of atoms : 72 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 76 ( 37 ~; 33 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 11 ( 10 usr; 5 prp; 0-4 aty)
% Number of functors : 21 ( 21 usr; 8 con; 0-2 aty)
% Number of variables : 42 ( 42 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f231,plain,
$false,
inference(avatar_sat_refutation,[],[f151,f167,f221,f225,f230]) ).
fof(f230,plain,
( spl14_1
| ~ spl14_9 ),
inference(avatar_contradiction_clause,[],[f229]) ).
fof(f229,plain,
( $false
| spl14_1
| ~ spl14_9 ),
inference(resolution,[],[f226,f146]) ).
fof(f146,plain,
( ~ sP9(c27,c26,c25)
| spl14_1 ),
inference(avatar_component_clause,[],[f144]) ).
fof(f144,plain,
( spl14_1
<=> sP9(c27,c26,c25) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1])]) ).
fof(f226,plain,
( sP9(c27,c26,c25)
| ~ spl14_9 ),
inference(resolution,[],[f220,f73]) ).
fof(f73,plain,
sP8(c26,c27,c24,c25),
inference(resolution,[],[f53,f12]) ).
fof(f12,axiom,
~ p4(f5(f7(c23,f8(c24,c25)),c26),c27),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p4_12) ).
fof(f53,plain,
! [X72,X70,X73,X71,X74] :
( p4(f5(f7(X70,f8(X71,X72)),X73),X74)
| sP8(X73,X74,X71,X72) ),
inference(cnf_transformation,[],[f53_D]) ).
fof(f53_D,plain,
! [X72,X71,X74,X73] :
( ! [X70] : p4(f5(f7(X70,f8(X71,X72)),X73),X74)
<=> ~ sP8(X73,X74,X71,X72) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP8])]) ).
fof(f220,plain,
( ! [X0,X1] :
( ~ sP8(X0,c27,c24,X1)
| sP9(c27,X0,X1) )
| ~ spl14_9 ),
inference(avatar_component_clause,[],[f219]) ).
fof(f219,plain,
( spl14_9
<=> ! [X0,X1] :
( ~ sP8(X0,c27,c24,X1)
| sP9(c27,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_9])]) ).
fof(f225,plain,
spl14_8,
inference(avatar_contradiction_clause,[],[f223]) ).
fof(f223,plain,
( $false
| spl14_8 ),
inference(resolution,[],[f217,f6]) ).
fof(f6,axiom,
p21(c27,f12(f9(f10(f11(c29))),c24)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p21_6) ).
fof(f217,plain,
( ~ p21(c27,f12(f9(f10(f11(c29))),c24))
| spl14_8 ),
inference(avatar_component_clause,[],[f215]) ).
fof(f215,plain,
( spl14_8
<=> p21(c27,f12(f9(f10(f11(c29))),c24)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_8])]) ).
fof(f221,plain,
( ~ spl14_8
| spl14_9 ),
inference(avatar_split_clause,[],[f123,f219,f215]) ).
fof(f123,plain,
! [X0,X1] :
( ~ sP8(X0,c27,c24,X1)
| ~ p21(c27,f12(f9(f10(f11(c29))),c24))
| sP9(c27,X0,X1) ),
inference(resolution,[],[f55,f17]) ).
fof(f17,axiom,
p22(f12(f9(f10(f11(c29))),f18(c24,f9(f11(c29)))),c27),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p22_17) ).
fof(f55,plain,
! [X72,X73,X71,X74] :
( ~ p22(f12(f9(f10(f11(c29))),f18(X71,f9(f11(c29)))),X74)
| ~ sP8(X73,X74,X71,X72)
| ~ p21(X74,f12(f9(f10(f11(c29))),X71))
| sP9(X74,X73,X72) ),
inference(cnf_transformation,[],[f55_D]) ).
fof(f55_D,plain,
! [X72,X73,X74] :
( ! [X71] :
( ~ p22(f12(f9(f10(f11(c29))),f18(X71,f9(f11(c29)))),X74)
| ~ sP8(X73,X74,X71,X72)
| ~ p21(X74,f12(f9(f10(f11(c29))),X71)) )
<=> ~ sP9(X74,X73,X72) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP9])]) ).
fof(f167,plain,
spl14_2,
inference(avatar_contradiction_clause,[],[f165]) ).
fof(f165,plain,
( $false
| spl14_2 ),
inference(resolution,[],[f150,f5]) ).
fof(f5,axiom,
p21(c28,f9(f10(f11(c29)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p21_5) ).
fof(f150,plain,
( ~ p21(c28,f9(f10(f11(c29))))
| spl14_2 ),
inference(avatar_component_clause,[],[f148]) ).
fof(f148,plain,
( spl14_2
<=> p21(c28,f9(f10(f11(c29)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_2])]) ).
fof(f151,plain,
( ~ spl14_1
| ~ spl14_2 ),
inference(avatar_split_clause,[],[f141,f148,f144]) ).
fof(f141,plain,
( ~ p21(c28,f9(f10(f11(c29))))
| ~ sP9(c27,c26,c25) ),
inference(resolution,[],[f56,f30]) ).
fof(f30,axiom,
p3(c26,f13(f15(f17(f16(f9(f11(c29)))),c28),f13(f15(f16(f9(f10(f11(c29)))),c30),f14(f16(c27),f15(f16(f9(f10(f11(c29)))),c25))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_30) ).
fof(f56,plain,
! [X72,X73,X76,X74,X75] :
( ~ p3(X73,f13(f15(f17(f16(f9(f11(c29)))),X76),f13(f15(f16(f9(f10(f11(c29)))),X75),f14(f16(X74),f15(f16(f9(f10(f11(c29)))),X72)))))
| ~ p21(X76,f9(f10(f11(c29))))
| ~ sP9(X74,X73,X72) ),
inference(general_splitting,[],[f54,f55_D]) ).
fof(f54,plain,
! [X72,X73,X71,X76,X74,X75] :
( ~ p21(X76,f9(f10(f11(c29))))
| ~ p21(X74,f12(f9(f10(f11(c29))),X71))
| ~ p22(f12(f9(f10(f11(c29))),f18(X71,f9(f11(c29)))),X74)
| ~ p3(X73,f13(f15(f17(f16(f9(f11(c29)))),X76),f13(f15(f16(f9(f10(f11(c29)))),X75),f14(f16(X74),f15(f16(f9(f10(f11(c29)))),X72)))))
| ~ sP8(X73,X74,X71,X72) ),
inference(general_splitting,[],[f34,f53_D]) ).
fof(f34,axiom,
! [X72,X70,X73,X71,X76,X74,X75] :
( ~ p21(X76,f9(f10(f11(c29))))
| ~ p21(X74,f12(f9(f10(f11(c29))),X71))
| p4(f5(f7(X70,f8(X71,X72)),X73),X74)
| ~ p22(f12(f9(f10(f11(c29))),f18(X71,f9(f11(c29)))),X74)
| ~ p3(X73,f13(f15(f17(f16(f9(f11(c29)))),X76),f13(f15(f16(f9(f10(f11(c29)))),X75),f14(f16(X74),f15(f16(f9(f10(f11(c29)))),X72))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_34) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.13 % Problem : SYN630-1 : TPTP v8.1.2. Released v2.5.0.
% 0.10/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n007.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 01:47:33 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (5924)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (5928)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.38 % (5931)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.38 % (5930)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 % (5932)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.38 % (5927)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.38 % (5933)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)
% 0.14/0.38 % (5929)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)
% 0.14/0.39 % (5929)First to succeed.
% 0.14/0.39 % (5929)Refutation found. Thanks to Tanya!
% 0.14/0.39 % SZS status Unsatisfiable for theBenchmark
% 0.14/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.39 % (5929)------------------------------
% 0.14/0.39 % (5929)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.39 % (5929)Termination reason: Refutation
% 0.14/0.39
% 0.14/0.39 % (5929)Memory used [KB]: 920
% 0.14/0.39 % (5929)Time elapsed: 0.009 s
% 0.14/0.39 % (5929)Instructions burned: 12 (million)
% 0.14/0.39 % (5929)------------------------------
% 0.14/0.39 % (5929)------------------------------
% 0.14/0.39 % (5924)Success in time 0.027 s
%------------------------------------------------------------------------------