TSTP Solution File: SYN604-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYN604-1 : 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 : n020.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 : Sun May 5 12:11:40 EDT 2024
% Result : Unsatisfiable 91.03s 13.35s
% Output : Refutation 91.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 15
% Syntax : Number of formulae : 54 ( 15 unt; 0 def)
% Number of atoms : 113 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 134 ( 75 ~; 56 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 6 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 5 con; 0-2 aty)
% Number of variables : 85 ( 85 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f174553,plain,
$false,
inference(avatar_sat_refutation,[],[f14613,f26685,f174552]) ).
fof(f174552,plain,
spl2_13,
inference(avatar_contradiction_clause,[],[f174422]) ).
fof(f174422,plain,
( $false
| spl2_13 ),
inference(resolution,[],[f173151,f9]) ).
fof(f9,axiom,
! [X7] : p16(f10(f11(c21)),f12(X7)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p16_9) ).
fof(f173151,plain,
( ~ p16(f10(f11(c21)),f12(c19))
| spl2_13 ),
inference(resolution,[],[f173148,f26939]) ).
fof(f26939,plain,
( ! [X0] :
( ~ p16(f4(f8(f10(f11(c21)))),X0)
| ~ p16(X0,f12(c19)) )
| spl2_13 ),
inference(resolution,[],[f14608,f23]) ).
fof(f23,axiom,
! [X34,X35,X33] :
( p16(X33,X34)
| ~ p16(X33,X35)
| ~ p16(X35,X34) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p16_23) ).
fof(f14608,plain,
( ~ p16(f4(f8(f10(f11(c21)))),f12(c19))
| spl2_13 ),
inference(avatar_component_clause,[],[f14606]) ).
fof(f14606,plain,
( spl2_13
<=> p16(f4(f8(f10(f11(c21)))),f12(c19)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_13])]) ).
fof(f173148,plain,
! [X0] : p16(f4(f8(f10(X0))),f10(X0)),
inference(resolution,[],[f171462,f4]) ).
fof(f4,axiom,
! [X3] : p3(X3,X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_4) ).
fof(f171462,plain,
! [X0,X1] :
( ~ p3(f4(f8(f10(X1))),X0)
| p16(X0,f10(X1)) ),
inference(resolution,[],[f171460,f33]) ).
fof(f33,plain,
! [X40,X41,X42] :
( sP1(X41,X42)
| p16(X40,X41)
| ~ p3(X42,X40) ),
inference(cnf_transformation,[],[f33_D]) ).
fof(f33_D,plain,
! [X42,X41] :
( ! [X40] :
( p16(X40,X41)
| ~ p3(X42,X40) )
<=> ~ sP1(X41,X42) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).
fof(f171460,plain,
! [X0] : ~ sP1(f10(X0),f4(f8(f10(X0)))),
inference(resolution,[],[f171443,f7]) ).
fof(f7,axiom,
! [X5] : p3(f4(f8(X5)),f12(X5)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_7) ).
fof(f171443,plain,
! [X0,X1] :
( ~ p3(X1,f12(f10(X0)))
| ~ sP1(f10(X0),X1) ),
inference(resolution,[],[f171208,f2396]) ).
fof(f2396,plain,
! [X0] : p16(f12(f10(X0)),f10(X0)),
inference(resolution,[],[f2323,f4]) ).
fof(f2323,plain,
! [X0,X1] :
( ~ p3(f12(f10(X1)),X0)
| p16(X0,f10(X1)) ),
inference(resolution,[],[f2321,f33]) ).
fof(f2321,plain,
! [X0] : ~ sP1(f10(X0),f12(f10(X0))),
inference(resolution,[],[f2225,f4]) ).
fof(f2225,plain,
! [X0,X1] :
( ~ p3(f12(f10(X0)),X1)
| ~ sP1(f10(X0),X1) ),
inference(resolution,[],[f1889,f39]) ).
fof(f39,plain,
! [X0,X1] :
( ~ p16(X0,f12(f10(X1)))
| ~ sP1(f10(X1),X0) ),
inference(resolution,[],[f34,f8]) ).
fof(f8,axiom,
! [X6] : p3(f12(f10(X6)),f10(X6)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_8) ).
fof(f34,plain,
! [X41,X42,X43] :
( ~ p3(X43,X41)
| ~ p16(X42,X43)
| ~ sP1(X41,X42) ),
inference(general_splitting,[],[f25,f33_D]) ).
fof(f25,axiom,
! [X40,X41,X42,X43] :
( ~ p3(X42,X40)
| ~ p3(X43,X41)
| ~ p16(X42,X43)
| p16(X40,X41) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p16_25) ).
fof(f1889,plain,
! [X0,X1] :
( p16(X0,f12(f10(X1)))
| ~ p3(f12(f10(X1)),X0) ),
inference(resolution,[],[f1888,f33]) ).
fof(f1888,plain,
! [X0] : ~ sP1(f12(f10(X0)),f12(f10(X0))),
inference(factoring,[],[f1552]) ).
fof(f1552,plain,
! [X0,X1] :
( ~ sP1(f12(f10(X0)),X1)
| ~ sP1(X1,f12(f10(X0))) ),
inference(resolution,[],[f923,f8]) ).
fof(f923,plain,
! [X2,X0,X1] :
( ~ sP1(f12(X0),X1)
| ~ sP1(X1,X2)
| ~ p3(X2,X0) ),
inference(resolution,[],[f789,f15]) ).
fof(f15,axiom,
! [X18,X19] :
( p3(f12(X18),f12(X19))
| ~ p3(X18,X19) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_15) ).
fof(f789,plain,
! [X2,X0,X1] :
( ~ sP1(X0,X1)
| ~ p3(f12(X2),X0)
| ~ sP1(X1,X2) ),
inference(resolution,[],[f69,f4]) ).
fof(f69,plain,
! [X2,X3,X0,X1] :
( ~ sP1(X0,X1)
| ~ p3(f12(X2),X0)
| ~ p3(X1,X3)
| ~ sP1(X3,X2) ),
inference(resolution,[],[f43,f34]) ).
fof(f43,plain,
! [X2,X0,X1] :
( p16(X0,X2)
| ~ sP1(X1,X2)
| ~ p3(f12(X0),X1) ),
inference(resolution,[],[f34,f10]) ).
fof(f10,axiom,
! [X8,X9] :
( p16(X9,f12(X8))
| p16(X8,X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p16_10) ).
fof(f171208,plain,
! [X2,X0,X1] :
( ~ p16(X0,X1)
| ~ sP1(X1,X2)
| ~ p3(X2,X0) ),
inference(resolution,[],[f5460,f4]) ).
fof(f5460,plain,
! [X2,X3,X0,X1] :
( ~ p16(X0,X1)
| ~ sP1(X1,X2)
| ~ p3(X3,X0)
| ~ p3(X3,X2) ),
inference(resolution,[],[f5400,f21]) ).
fof(f21,axiom,
! [X3,X29,X30] :
( p3(X29,X30)
| ~ p3(X3,X29)
| ~ p3(X3,X30) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_21) ).
fof(f5400,plain,
! [X2,X0,X1] :
( ~ p16(X0,X1)
| ~ p3(X0,X2)
| ~ sP1(X1,X2) ),
inference(resolution,[],[f112,f4]) ).
fof(f112,plain,
! [X2,X3,X0,X1] :
( ~ p16(X0,X1)
| ~ p3(X0,X2)
| ~ p3(X1,X3)
| ~ sP1(X3,X2) ),
inference(resolution,[],[f47,f34]) ).
fof(f47,plain,
! [X2,X0,X1] :
( p16(X2,X1)
| ~ p16(X0,X1)
| ~ p3(X0,X2) ),
inference(resolution,[],[f35,f33]) ).
fof(f35,plain,
! [X0,X1] :
( ~ sP1(X1,X0)
| ~ p16(X0,X1) ),
inference(resolution,[],[f34,f4]) ).
fof(f26685,plain,
spl2_14,
inference(avatar_contradiction_clause,[],[f26625]) ).
fof(f26625,plain,
( $false
| spl2_14 ),
inference(resolution,[],[f14612,f56]) ).
fof(f56,plain,
p16(c19,f4(f13(c23))),
inference(resolution,[],[f54,f10]) ).
fof(f54,plain,
~ p16(f4(f13(c23)),f12(c19)),
inference(resolution,[],[f29,f28]) ).
fof(f28,axiom,
! [X52] : ~ p16(f4(f6(f7(c20,c18),X52)),f4(f6(f7(c20,c18),f13(X52)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p16_28) ).
fof(f29,axiom,
! [X53] :
( p16(f4(f6(f7(c20,c18),c23)),f4(f6(f7(c20,c18),X53)))
| ~ p16(f4(X53),f12(c19)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p16_29) ).
fof(f14612,plain,
( ~ p16(c19,f4(f13(c23)))
| spl2_14 ),
inference(avatar_component_clause,[],[f14610]) ).
fof(f14610,plain,
( spl2_14
<=> p16(c19,f4(f13(c23))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_14])]) ).
fof(f14613,plain,
( ~ spl2_13
| ~ spl2_14 ),
inference(avatar_split_clause,[],[f4092,f14610,f14606]) ).
fof(f4092,plain,
( ~ p16(c19,f4(f13(c23)))
| ~ p16(f4(f8(f10(f11(c21)))),f12(c19)) ),
inference(resolution,[],[f223,f29]) ).
fof(f223,plain,
! [X0] :
( ~ p16(f4(f6(f7(c20,c18),X0)),f4(f6(f7(c20,c18),f8(f10(f11(c21))))))
| ~ p16(c19,f4(f13(X0))) ),
inference(resolution,[],[f52,f30]) ).
fof(f30,axiom,
! [X54] :
( p16(f4(f6(f7(c20,c18),f8(f10(f11(c21))))),f4(f6(f7(c20,c18),X54)))
| ~ p16(c19,f4(X54)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p16_30) ).
fof(f52,plain,
! [X0,X1] :
( ~ p16(X1,f4(f6(f7(c20,c18),f13(X0))))
| ~ p16(f4(f6(f7(c20,c18),X0)),X1) ),
inference(resolution,[],[f28,f23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN604-1 : TPTP v8.1.2. Released v2.5.0.
% 0.03/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.34 % Computer : n020.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Fri May 3 17:41:08 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (13419)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (13425)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.37 % (13424)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.37 % (13420)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.37 % (13423)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.37 % (13422)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)
% 0.14/0.37 % (13421)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.37 % (13426)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)
% 0.21/0.37 TRYING [1]
% 0.21/0.37 TRYING [2]
% 0.21/0.37 Detected minimum model sizes of [1,1]
% 0.21/0.37 Detected maximum model sizes of [1,max]
% 0.21/0.37 TRYING [1,1,1,1,1]
% 0.21/0.37 TRYING [1,1]
% 0.21/0.37 TRYING [1]
% 0.21/0.37 TRYING [2,1,1,1,1]
% 0.21/0.37 TRYING [1,2]
% 0.21/0.37 TRYING [2]
% 0.21/0.37 TRYING [3]
% 0.21/0.37 TRYING [3,1,1,1,1]
% 0.21/0.37 TRYING [3]
% 0.21/0.37 TRYING [1,3]
% 0.21/0.44 TRYING [4]
% 0.21/0.45 TRYING [1,4]
% 0.21/0.47 TRYING [4]
% 0.21/0.48 TRYING [4,1,1,1,1]
% 53.82/8.05 TRYING [5]
% 67.21/10.04 TRYING [1,5]
% 84.11/12.36 TRYING [5]
% 91.03/13.34 % (13422)First to succeed.
% 91.03/13.34 % (13422)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-13419"
% 91.03/13.35 % (13422)Refutation found. Thanks to Tanya!
% 91.03/13.35 % SZS status Unsatisfiable for theBenchmark
% 91.03/13.35 % SZS output start Proof for theBenchmark
% See solution above
% 91.03/13.35 % (13422)------------------------------
% 91.03/13.35 % (13422)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 91.03/13.35 % (13422)Termination reason: Refutation
% 91.03/13.35
% 91.03/13.35 % (13422)Memory used [KB]: 76483
% 91.03/13.35 % (13422)Time elapsed: 12.980 s
% 91.03/13.35 % (13422)Instructions burned: 52434 (million)
% 91.03/13.35 % (13419)Success in time 12.979 s
%------------------------------------------------------------------------------