TSTP Solution File: GRP005-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP005-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n019.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 11:50:26 EDT 2024
% Result : Unsatisfiable 0.14s 0.38s
% Output : Refutation 0.14s
% 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
% 0.07/0.13 % Problem : GRP005-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n019.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 04:23:44 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (17372)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (17376)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 % (17375)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 % (17374)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.38 % (17379)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 % (17378)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.38 % (17377)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 % (17375)First to succeed.
% 0.14/0.38 TRYING [3]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 % (17377)Also succeeded, but the first one will report.
% 0.14/0.38 TRYING [3]
% 0.14/0.38 % (17378)Also succeeded, but the first one will report.
% 0.14/0.38 % (17375)Refutation found. Thanks to Tanya!
% 0.14/0.38 % SZS status Unsatisfiable for theBenchmark
% 0.14/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.38 % (17375)------------------------------
% 0.14/0.38 % (17375)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.38 % (17375)Termination reason: Refutation
% 0.14/0.38
% 0.14/0.38 % (17375)Memory used [KB]: 751
% 0.14/0.38 % (17375)Time elapsed: 0.003 s
% 0.14/0.38 % (17375)Instructions burned: 3 (million)
% 0.14/0.38 % (17375)------------------------------
% 0.14/0.38 % (17375)------------------------------
% 0.14/0.38 % (17372)Success in time 0.017 s
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