TSTP Solution File: FLD010-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : FLD010-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 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 11:06:13 EDT 2024
% Result : Unsatisfiable 0.14s 0.38s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 12
% Syntax : Number of formulae : 31 ( 8 unt; 0 def)
% Number of atoms : 61 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 57 ( 27 ~; 26 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 5 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 9 ( 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f388,plain,
$false,
inference(avatar_sat_refutation,[],[f106,f250,f305,f341,f387]) ).
fof(f387,plain,
~ spl0_9,
inference(avatar_contradiction_clause,[],[f380]) ).
fof(f380,plain,
( $false
| ~ spl0_9 ),
inference(resolution,[],[f249,f29]) ).
fof(f29,plain,
~ equalish(multiplicative_identity,additive_identity),
inference(resolution,[],[f22,f27]) ).
fof(f27,axiom,
~ equalish(additive_identity,multiplicative_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',different_identities) ).
fof(f22,axiom,
! [X0,X1] :
( equalish(X0,X1)
| ~ equalish(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_of_equality) ).
fof(f249,plain,
( equalish(multiplicative_identity,additive_identity)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f247]) ).
fof(f247,plain,
( spl0_9
<=> equalish(multiplicative_identity,additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f341,plain,
( ~ spl0_1
| spl0_9
| spl0_10 ),
inference(avatar_split_clause,[],[f323,f302,f247,f94]) ).
fof(f94,plain,
( spl0_1
<=> defined(multiplicative_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f302,plain,
( spl0_10
<=> equalish(multiplicative_identity,multiply(multiplicative_identity,multiplicative_inverse(multiplicative_identity))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f323,plain,
( equalish(multiplicative_identity,additive_identity)
| ~ defined(multiplicative_identity)
| spl0_10 ),
inference(resolution,[],[f322,f7]) ).
fof(f7,axiom,
! [X0] :
( equalish(multiply(X0,multiplicative_inverse(X0)),multiplicative_identity)
| equalish(X0,additive_identity)
| ~ defined(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_inverse_multiplication) ).
fof(f322,plain,
( ~ equalish(multiply(multiplicative_identity,multiplicative_inverse(multiplicative_identity)),multiplicative_identity)
| spl0_10 ),
inference(resolution,[],[f304,f22]) ).
fof(f304,plain,
( ~ equalish(multiplicative_identity,multiply(multiplicative_identity,multiplicative_inverse(multiplicative_identity)))
| spl0_10 ),
inference(avatar_component_clause,[],[f302]) ).
fof(f305,plain,
( ~ spl0_7
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f48,f302,f234]) ).
fof(f234,plain,
( spl0_7
<=> defined(multiplicative_inverse(multiplicative_identity)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f48,plain,
( ~ equalish(multiplicative_identity,multiply(multiplicative_identity,multiplicative_inverse(multiplicative_identity)))
| ~ defined(multiplicative_inverse(multiplicative_identity)) ),
inference(resolution,[],[f40,f6]) ).
fof(f6,axiom,
! [X0] :
( equalish(multiply(multiplicative_identity,X0),X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_identity_multiplication) ).
fof(f40,plain,
! [X0] :
( ~ equalish(X0,multiplicative_inverse(multiplicative_identity))
| ~ equalish(multiplicative_identity,X0) ),
inference(resolution,[],[f23,f30]) ).
fof(f30,plain,
~ equalish(multiplicative_identity,multiplicative_inverse(multiplicative_identity)),
inference(resolution,[],[f22,f28]) ).
fof(f28,axiom,
~ equalish(multiplicative_inverse(multiplicative_identity),multiplicative_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_inv_not_equal_to_multiplicative_id_2) ).
fof(f23,axiom,
! [X2,X0,X1] :
( equalish(X0,X2)
| ~ equalish(X0,X1)
| ~ equalish(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_of_equality) ).
fof(f250,plain,
( spl0_9
| ~ spl0_1
| spl0_7 ),
inference(avatar_split_clause,[],[f245,f234,f94,f247]) ).
fof(f245,plain,
( ~ defined(multiplicative_identity)
| equalish(multiplicative_identity,additive_identity)
| spl0_7 ),
inference(resolution,[],[f236,f15]) ).
fof(f15,axiom,
! [X0] :
( defined(multiplicative_inverse(X0))
| ~ defined(X0)
| equalish(X0,additive_identity) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',well_definedness_of_multiplicative_inverse) ).
fof(f236,plain,
( ~ defined(multiplicative_inverse(multiplicative_identity))
| spl0_7 ),
inference(avatar_component_clause,[],[f234]) ).
fof(f106,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f105]) ).
fof(f105,plain,
( $false
| spl0_1 ),
inference(resolution,[],[f96,f14]) ).
fof(f14,axiom,
defined(multiplicative_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',well_definedness_of_multiplicative_identity) ).
fof(f96,plain,
( ~ defined(multiplicative_identity)
| spl0_1 ),
inference(avatar_component_clause,[],[f94]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : FLD010-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.10/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n019.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Apr 30 03:23:29 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % (16277)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (16283)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.37 % (16281)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 % (16279)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.37 % (16284)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)
% 0.14/0.37 % (16280)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 % (16282)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 [2]
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [1]
% 0.14/0.38 % (16278)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 % (16280)First to succeed.
% 0.14/0.38 % (16280)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 % (16280)------------------------------
% 0.14/0.38 % (16280)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.38 % (16280)Termination reason: Refutation
% 0.14/0.38
% 0.14/0.38 % (16280)Memory used [KB]: 914
% 0.14/0.38 % (16280)Time elapsed: 0.008 s
% 0.14/0.38 % (16280)Instructions burned: 14 (million)
% 0.14/0.38 % (16280)------------------------------
% 0.14/0.38 % (16280)------------------------------
% 0.14/0.38 % (16277)Success in time 0.024 s
%------------------------------------------------------------------------------