TSTP Solution File: FLD010-3 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : FLD010-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n010.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 11:06:13 EDT 2024
% Result : Unsatisfiable 0.13s 0.38s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of formulae : 17 ( 7 unt; 0 def)
% Number of atoms : 28 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 22 ( 11 ~; 9 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 3 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 4 ( 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f85,plain,
$false,
inference(avatar_sat_refutation,[],[f63,f82,f84]) ).
fof(f84,plain,
~ spl9_5,
inference(avatar_contradiction_clause,[],[f83]) ).
fof(f83,plain,
( $false
| ~ spl9_5 ),
inference(resolution,[],[f81,f27]) ).
fof(f27,axiom,
~ sum(additive_identity,multiplicative_identity,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_sum_1) ).
fof(f81,plain,
( sum(additive_identity,multiplicative_identity,additive_identity)
| ~ spl9_5 ),
inference(avatar_component_clause,[],[f79]) ).
fof(f79,plain,
( spl9_5
<=> sum(additive_identity,multiplicative_identity,additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_5])]) ).
fof(f82,plain,
( ~ spl9_1
| spl9_5 ),
inference(avatar_split_clause,[],[f77,f79,f54]) ).
fof(f54,plain,
( spl9_1
<=> defined(multiplicative_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_1])]) ).
fof(f77,plain,
( sum(additive_identity,multiplicative_identity,additive_identity)
| ~ defined(multiplicative_identity) ),
inference(resolution,[],[f9,f50]) ).
fof(f50,plain,
~ product(multiplicative_inverse(multiplicative_identity),multiplicative_identity,multiplicative_identity),
inference(resolution,[],[f10,f28]) ).
fof(f28,axiom,
~ product(multiplicative_identity,multiplicative_inverse(multiplicative_identity),multiplicative_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_product_2) ).
fof(f10,axiom,
! [X3,X0,X5] :
( product(X3,X0,X5)
| ~ product(X0,X3,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_multiplication) ).
fof(f9,axiom,
! [X0] :
( product(multiplicative_inverse(X0),X0,multiplicative_identity)
| sum(additive_identity,X0,additive_identity)
| ~ defined(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_inverse_multiplication) ).
fof(f63,plain,
spl9_1,
inference(avatar_contradiction_clause,[],[f62]) ).
fof(f62,plain,
( $false
| spl9_1 ),
inference(resolution,[],[f56,f17]) ).
fof(f17,axiom,
defined(multiplicative_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',well_definedness_of_multiplicative_identity) ).
fof(f56,plain,
( ~ defined(multiplicative_identity)
| spl9_1 ),
inference(avatar_component_clause,[],[f54]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14 % Problem : FLD010-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.07/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.36 % Computer : n010.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Tue Apr 30 03:11:35 EDT 2024
% 0.13/0.36 % CPUTime :
% 0.13/0.36 % (3795)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.38 % (3802)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)
% 0.13/0.38 % (3801)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.13/0.38 % (3799)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.13/0.38 % (3800)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.13/0.38 % (3798)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)
% 0.13/0.38 % (3797)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.38 TRYING [1]
% 0.13/0.38 TRYING [1]
% 0.13/0.38 TRYING [2]
% 0.13/0.38 % (3798)First to succeed.
% 0.13/0.38 TRYING [2]
% 0.13/0.38 TRYING [1]
% 0.13/0.38 TRYING [2]
% 0.13/0.38 TRYING [3]
% 0.13/0.38 TRYING [3]
% 0.13/0.38 % (3798)Refutation found. Thanks to Tanya!
% 0.13/0.38 % SZS status Unsatisfiable for theBenchmark
% 0.13/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.38 % (3798)------------------------------
% 0.13/0.38 % (3798)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.13/0.38 % (3798)Termination reason: Refutation
% 0.13/0.38
% 0.13/0.38 % (3798)Memory used [KB]: 864
% 0.13/0.38 % (3798)Time elapsed: 0.004 s
% 0.13/0.38 % (3798)Instructions burned: 5 (million)
% 0.13/0.38 % (3798)------------------------------
% 0.13/0.38 % (3798)------------------------------
% 0.13/0.38 % (3795)Success in time 0.02 s
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