TSTP Solution File: SYN554-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYN554-1 : 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 : n008.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 18:04:25 EDT 2024
% Result : Unsatisfiable 0.14s 0.44s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 29 ( 9 unt; 0 def)
% Number of atoms : 56 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 61 ( 34 ~; 24 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 32 ( 32 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f558,plain,
$false,
inference(avatar_sat_refutation,[],[f484,f546,f557]) ).
fof(f557,plain,
~ spl1_4,
inference(avatar_contradiction_clause,[],[f547]) ).
fof(f547,plain,
( $false
| ~ spl1_4 ),
inference(resolution,[],[f483,f461]) ).
fof(f461,plain,
~ p4(c6,c7),
inference(resolution,[],[f51,f4]) ).
fof(f4,axiom,
p2(f3(c5,c6),f3(c5,c7)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_4) ).
fof(f51,plain,
! [X0,X1] :
( ~ p2(f3(c5,X0),f3(c5,X1))
| ~ p4(X0,X1) ),
inference(resolution,[],[f38,f7]) ).
fof(f7,axiom,
! [X6,X7] :
( p4(f3(c5,X6),f3(c5,X7))
| ~ p4(X6,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_7) ).
fof(f38,plain,
! [X0,X1] :
( ~ p4(X0,X1)
| ~ p2(X0,X1) ),
inference(resolution,[],[f18,f1]) ).
fof(f1,axiom,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_1) ).
fof(f18,plain,
! [X2,X0,X1] :
( ~ p2(X0,X1)
| ~ p2(X2,X1)
| ~ p4(X0,X2) ),
inference(resolution,[],[f16,f10]) ).
fof(f10,plain,
! [X10,X11,X9] :
( sP0(X11,X9)
| ~ p2(X10,X9)
| ~ p4(X11,X10) ),
inference(cnf_transformation,[],[f10_D]) ).
fof(f10_D,plain,
! [X9,X11] :
( ! [X10] :
( ~ p2(X10,X9)
| ~ p4(X11,X10) )
<=> ~ sP0(X11,X9) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).
fof(f16,plain,
! [X0,X1] :
( ~ sP0(X0,X1)
| ~ p2(X0,X1) ),
inference(resolution,[],[f11,f2]) ).
fof(f2,axiom,
! [X1] : ~ p4(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p4_2) ).
fof(f11,plain,
! [X11,X8,X9] :
( p4(X8,X9)
| ~ p2(X11,X8)
| ~ sP0(X11,X9) ),
inference(general_splitting,[],[f8,f10_D]) ).
fof(f8,axiom,
! [X10,X11,X8,X9] :
( ~ p4(X11,X10)
| ~ p2(X10,X9)
| ~ p2(X11,X8)
| p4(X8,X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_8) ).
fof(f483,plain,
( p4(c6,c7)
| ~ spl1_4 ),
inference(avatar_component_clause,[],[f481]) ).
fof(f481,plain,
( spl1_4
<=> p4(c6,c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_4])]) ).
fof(f546,plain,
~ spl1_3,
inference(avatar_contradiction_clause,[],[f490]) ).
fof(f490,plain,
( $false
| ~ spl1_3 ),
inference(resolution,[],[f479,f3]) ).
fof(f3,axiom,
~ p2(c6,c7),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p2_3) ).
fof(f479,plain,
( p2(c6,c7)
| ~ spl1_3 ),
inference(avatar_component_clause,[],[f477]) ).
fof(f477,plain,
( spl1_3
<=> p2(c6,c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_3])]) ).
fof(f484,plain,
( spl1_3
| spl1_4 ),
inference(avatar_split_clause,[],[f460,f481,f477]) ).
fof(f460,plain,
( p4(c6,c7)
| p2(c6,c7) ),
inference(resolution,[],[f452,f5]) ).
fof(f5,axiom,
! [X2,X3] :
( p4(X3,X2)
| p4(X2,X3)
| p2(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_5) ).
fof(f452,plain,
~ p4(c7,c6),
inference(resolution,[],[f48,f4]) ).
fof(f48,plain,
! [X0,X1] :
( ~ p2(f3(c5,X0),f3(c5,X1))
| ~ p4(X1,X0) ),
inference(resolution,[],[f34,f7]) ).
fof(f34,plain,
! [X0,X1] :
( ~ p4(X1,X0)
| ~ p2(X0,X1) ),
inference(resolution,[],[f18,f1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.17 % Problem : SYN554-1 : TPTP v8.1.2. Released v2.5.0.
% 0.13/0.19 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.40 % Computer : n008.cluster.edu
% 0.14/0.40 % Model : x86_64 x86_64
% 0.14/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.40 % Memory : 8042.1875MB
% 0.14/0.40 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.40 % CPULimit : 300
% 0.14/0.40 % WCLimit : 300
% 0.14/0.40 % DateTime : Tue Apr 30 01:52:13 EDT 2024
% 0.14/0.40 % CPUTime :
% 0.14/0.41 % (21731)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.42 % (21733)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.42 % (21732)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.42 % (21735)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.42 % (21736)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.42 % (21737)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.42 % (21734)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)
% 0.14/0.42 % (21738)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)
% 0.14/0.42 TRYING [1]
% 0.14/0.42 TRYING [1]
% 0.14/0.42 TRYING [2]
% 0.14/0.42 TRYING [1]
% 0.14/0.42 TRYING [1]
% 0.14/0.42 TRYING [2]
% 0.14/0.42 TRYING [2]
% 0.14/0.42 TRYING [2]
% 0.14/0.42 TRYING [3]
% 0.14/0.42 TRYING [3]
% 0.14/0.42 TRYING [3]
% 0.14/0.42 TRYING [3]
% 0.14/0.43 TRYING [4]
% 0.14/0.43 TRYING [4]
% 0.14/0.43 TRYING [4]
% 0.14/0.43 TRYING [4]
% 0.14/0.43 TRYING [5]
% 0.14/0.43 TRYING [5]
% 0.14/0.43 TRYING [5]
% 0.14/0.43 TRYING [5]
% 0.14/0.44 % (21734)First to succeed.
% 0.14/0.44 % (21736)Also succeeded, but the first one will report.
% 0.14/0.44 TRYING [6]
% 0.14/0.44 TRYING [6]
% 0.14/0.44 TRYING [6]
% 0.14/0.44 % (21734)Refutation found. Thanks to Tanya!
% 0.14/0.44 % SZS status Unsatisfiable for theBenchmark
% 0.14/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.44 % (21734)------------------------------
% 0.14/0.44 % (21734)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.44 % (21734)Termination reason: Refutation
% 0.14/0.44
% 0.14/0.44 % (21734)Memory used [KB]: 922
% 0.14/0.44 % (21734)Time elapsed: 0.016 s
% 0.14/0.44 % (21734)Instructions burned: 27 (million)
% 0.14/0.44 % (21734)------------------------------
% 0.14/0.44 % (21734)------------------------------
% 0.14/0.44 % (21731)Success in time 0.032 s
%------------------------------------------------------------------------------