TSTP Solution File: GRP005-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP005-1 : TPTP v8.2.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n014.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 : Mon May 20 21:13:51 EDT 2024
% Result : Unsatisfiable 0.12s 0.35s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of formulae : 16 ( 6 unt; 0 def)
% Number of atoms : 29 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 28 ( 15 ~; 11 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 8 ( 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f30,plain,
$false,
inference(avatar_sat_refutation,[],[f25,f27,f29]) ).
fof(f29,plain,
~ spl2_1,
inference(avatar_contradiction_clause,[],[f28]) ).
fof(f28,plain,
( $false
| ~ spl2_1 ),
inference(resolution,[],[f21,f9]) ).
fof(f9,axiom,
~ an_element(identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_identity_is_an_element) ).
fof(f21,plain,
( an_element(identity)
| ~ spl2_1 ),
inference(avatar_component_clause,[],[f19]) ).
fof(f19,plain,
( spl2_1
<=> an_element(identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).
fof(f27,plain,
~ spl2_2,
inference(avatar_contradiction_clause,[],[f26]) ).
fof(f26,plain,
( $false
| ~ spl2_2 ),
inference(resolution,[],[f24,f5]) ).
fof(f5,axiom,
an_element(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_of_set) ).
fof(f24,plain,
( ! [X0] : ~ an_element(X0)
| ~ spl2_2 ),
inference(avatar_component_clause,[],[f23]) ).
fof(f23,plain,
( spl2_2
<=> ! [X0] : ~ an_element(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).
fof(f25,plain,
( spl2_1
| spl2_2 ),
inference(avatar_split_clause,[],[f17,f23,f19]) ).
fof(f17,plain,
! [X0] :
( ~ an_element(X0)
| an_element(identity) ),
inference(duplicate_literal_removal,[],[f15]) ).
fof(f15,plain,
! [X0] :
( ~ an_element(X0)
| an_element(identity)
| ~ an_element(X0) ),
inference(resolution,[],[f6,f3]) ).
fof(f3,axiom,
! [X0] : product(X0,inverse(X0),identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_inverse) ).
fof(f6,axiom,
! [X2,X0,X1] :
( ~ product(X0,inverse(X1),X2)
| ~ an_element(X0)
| an_element(X2)
| ~ an_element(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',condition) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GRP005-1 : TPTP v8.2.0. Released v1.0.0.
% 0.11/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.33 % Computer : n014.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sun May 19 04:34:07 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % (23764)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.35 % (23766)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.12/0.35 % (23767)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)
% 0.12/0.35 TRYING [1]
% 0.12/0.35 TRYING [2]
% 0.12/0.35 % (23767)First to succeed.
% 0.12/0.35 % (23767)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-23764"
% 0.12/0.35 TRYING [3]
% 0.12/0.35 % (23765)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.12/0.35 % (23770)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.12/0.35 % (23769)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.12/0.35 % (23767)Refutation found. Thanks to Tanya!
% 0.12/0.35 % SZS status Unsatisfiable for theBenchmark
% 0.12/0.35 % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.35 % (23767)------------------------------
% 0.12/0.35 % (23767)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.12/0.35 % (23767)Termination reason: Refutation
% 0.12/0.35
% 0.12/0.35 % (23767)Memory used [KB]: 751
% 0.12/0.35 % (23767)Time elapsed: 0.003 s
% 0.12/0.35 % (23767)Instructions burned: 3 (million)
% 0.12/0.35 % (23764)Success in time 0.016 s
%------------------------------------------------------------------------------