TSTP Solution File: FLD005-3 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : FLD005-3 : 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 : n021.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 11:06:11 EDT 2024
% Result : Unsatisfiable 0.22s 0.42s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 15
% Syntax : Number of formulae : 39 ( 7 unt; 0 def)
% Number of atoms : 91 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 107 ( 55 ~; 46 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 6 prp; 0-4 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 50 ( 50 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1403,plain,
$false,
inference(avatar_sat_refutation,[],[f93,f99,f1331,f1380,f1398,f1402]) ).
fof(f1402,plain,
spl9_25,
inference(avatar_contradiction_clause,[],[f1401]) ).
fof(f1401,plain,
( $false
| spl9_25 ),
inference(resolution,[],[f1400,f27]) ).
fof(f27,axiom,
defined(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_defined) ).
fof(f1400,plain,
( ~ defined(a)
| spl9_25 ),
inference(resolution,[],[f1397,f15]) ).
fof(f15,axiom,
! [X0] :
( defined(additive_inverse(X0))
| ~ defined(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',well_definedness_of_additive_inverse) ).
fof(f1397,plain,
( ~ defined(additive_inverse(a))
| spl9_25 ),
inference(avatar_component_clause,[],[f1395]) ).
fof(f1395,plain,
( spl9_25
<=> defined(additive_inverse(a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_25])]) ).
fof(f1398,plain,
( ~ spl9_6
| ~ spl9_25
| ~ spl9_24 ),
inference(avatar_split_clause,[],[f1388,f1378,f1395,f88]) ).
fof(f88,plain,
( spl9_6
<=> defined(a) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_6])]) ).
fof(f1378,plain,
( spl9_24
<=> ! [X0] :
( ~ sum(a,X0,additive_identity)
| ~ defined(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_24])]) ).
fof(f1388,plain,
( ~ defined(additive_inverse(a))
| ~ defined(a)
| ~ spl9_24 ),
inference(resolution,[],[f1385,f4]) ).
fof(f4,axiom,
! [X0] :
( sum(additive_inverse(X0),X0,additive_identity)
| ~ defined(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_inverse_addition) ).
fof(f1385,plain,
( ! [X0] :
( ~ sum(X0,a,additive_identity)
| ~ defined(X0) )
| ~ spl9_24 ),
inference(resolution,[],[f1379,f5]) ).
fof(f5,axiom,
! [X3,X0,X5] :
( sum(X3,X0,X5)
| ~ sum(X0,X3,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_addition) ).
fof(f1379,plain,
( ! [X0] :
( ~ sum(a,X0,additive_identity)
| ~ defined(X0) )
| ~ spl9_24 ),
inference(avatar_component_clause,[],[f1378]) ).
fof(f1380,plain,
( ~ spl9_5
| spl9_24
| ~ spl9_22 ),
inference(avatar_split_clause,[],[f1345,f1329,f1378,f84]) ).
fof(f84,plain,
( spl9_5
<=> defined(b) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_5])]) ).
fof(f1329,plain,
( spl9_22
<=> ! [X0,X1] :
( ~ sum(a,X0,additive_identity)
| ~ sum(X0,b,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_22])]) ).
fof(f1345,plain,
( ! [X0] :
( ~ sum(a,X0,additive_identity)
| ~ defined(X0)
| ~ defined(b) )
| ~ spl9_22 ),
inference(resolution,[],[f1330,f19]) ).
fof(f19,axiom,
! [X3,X0] :
( sum(X0,X3,add(X0,X3))
| ~ defined(X0)
| ~ defined(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',totality_of_addition) ).
fof(f1330,plain,
( ! [X0,X1] :
( ~ sum(a,X0,additive_identity)
| ~ sum(X0,b,X1) )
| ~ spl9_22 ),
inference(avatar_component_clause,[],[f1329]) ).
fof(f1331,plain,
( ~ spl9_5
| spl9_22 ),
inference(avatar_split_clause,[],[f1079,f1329,f84]) ).
fof(f1079,plain,
! [X0,X1] :
( ~ sum(a,X0,additive_identity)
| ~ sum(X0,b,X1)
| ~ defined(b) ),
inference(resolution,[],[f791,f3]) ).
fof(f3,axiom,
! [X0] :
( sum(additive_identity,X0,X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_identity_addition) ).
fof(f791,plain,
! [X2,X3,X0,X1] :
( ~ sum(a,X0,X1)
| ~ sum(X0,X2,X3)
| ~ sum(X1,X2,b) ),
inference(resolution,[],[f161,f29]) ).
fof(f29,axiom,
! [X0] : ~ sum(a,X0,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_sum_3) ).
fof(f161,plain,
! [X2,X3,X0,X1,X4,X5] :
( sum(X3,X2,X5)
| ~ sum(X3,X0,X4)
| ~ sum(X0,X1,X2)
| ~ sum(X4,X1,X5) ),
inference(resolution,[],[f37,f36]) ).
fof(f36,plain,
! [X2,X0,X1,X4,X5] :
( sP3(X4,X0,X5,X1)
| sum(X0,X1,X2)
| ~ sum(X4,X5,X2) ),
inference(cnf_transformation,[],[f36_D]) ).
fof(f36_D,plain,
! [X1,X5,X0,X4] :
( ! [X2] :
( sum(X0,X1,X2)
| ~ sum(X4,X5,X2) )
<=> ~ sP3(X4,X0,X5,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP3])]) ).
fof(f37,plain,
! [X3,X0,X1,X4,X5] :
( ~ sum(X3,X5,X1)
| ~ sum(X0,X3,X4)
| ~ sP3(X4,X0,X5,X1) ),
inference(general_splitting,[],[f1,f36_D]) ).
fof(f1,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X4,X5,X2)
| ~ sum(X3,X5,X1)
| ~ sum(X0,X3,X4)
| sum(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_addition_1) ).
fof(f99,plain,
spl9_6,
inference(avatar_contradiction_clause,[],[f98]) ).
fof(f98,plain,
( $false
| spl9_6 ),
inference(resolution,[],[f90,f27]) ).
fof(f90,plain,
( ~ defined(a)
| spl9_6 ),
inference(avatar_component_clause,[],[f88]) ).
fof(f93,plain,
spl9_5,
inference(avatar_contradiction_clause,[],[f92]) ).
fof(f92,plain,
( $false
| spl9_5 ),
inference(resolution,[],[f86,f28]) ).
fof(f28,axiom,
defined(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_is_defined) ).
fof(f86,plain,
( ~ defined(b)
| spl9_5 ),
inference(avatar_component_clause,[],[f84]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : FLD005-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.08/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n021.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 03:23:10 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (15681)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (15683)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.38 % (15685)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 % (15687)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.38 % (15684)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 % (15686)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.38 % (15682)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.38 % (15688)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 TRYING [1]
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [2]
% 0.14/0.39 TRYING [3]
% 0.14/0.39 TRYING [3]
% 0.14/0.39 TRYING [3]
% 0.14/0.39 TRYING [3]
% 0.22/0.40 TRYING [4]
% 0.22/0.40 TRYING [4]
% 0.22/0.40 TRYING [4]
% 0.22/0.40 TRYING [4]
% 0.22/0.41 % (15684)First to succeed.
% 0.22/0.42 % (15684)Refutation found. Thanks to Tanya!
% 0.22/0.42 % SZS status Unsatisfiable for theBenchmark
% 0.22/0.42 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.42 % (15684)------------------------------
% 0.22/0.42 % (15684)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.22/0.42 % (15684)Termination reason: Refutation
% 0.22/0.42
% 0.22/0.42 % (15684)Memory used [KB]: 1334
% 0.22/0.42 % (15684)Time elapsed: 0.034 s
% 0.22/0.42 % (15684)Instructions burned: 56 (million)
% 0.22/0.42 % (15684)------------------------------
% 0.22/0.42 % (15684)------------------------------
% 0.22/0.42 % (15681)Success in time 0.044 s
%------------------------------------------------------------------------------