TSTP Solution File: FLD013-4 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : FLD013-4 : 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 : n006.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 11:06:15 EDT 2024
% Result : Unsatisfiable 0.15s 0.41s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 11
% Syntax : Number of formulae : 33 ( 10 unt; 0 def)
% Number of atoms : 64 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 70 ( 39 ~; 29 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 2 prp; 0-4 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 41 ( 41 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1261,plain,
$false,
inference(avatar_sat_refutation,[],[f1191,f1260]) ).
fof(f1260,plain,
~ spl9_24,
inference(avatar_contradiction_clause,[],[f1259]) ).
fof(f1259,plain,
( $false
| ~ spl9_24 ),
inference(resolution,[],[f1237,f14]) ).
fof(f14,axiom,
defined(additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',well_definedness_of_additive_identity) ).
fof(f1237,plain,
( ~ defined(additive_identity)
| ~ spl9_24 ),
inference(resolution,[],[f1195,f3]) ).
fof(f3,axiom,
! [X0] :
( sum(additive_identity,X0,X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_identity_addition) ).
fof(f1195,plain,
( ~ sum(additive_identity,additive_identity,additive_identity)
| ~ spl9_24 ),
inference(resolution,[],[f1034,f406]) ).
fof(f406,plain,
! [X0,X1] :
( ~ sP3(X0,X1,c,d)
| ~ sum(additive_identity,X1,X0) ),
inference(resolution,[],[f149,f33]) ).
fof(f33,axiom,
sum(additive_identity,c,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_7) ).
fof(f149,plain,
! [X2,X3,X0,X1,X4] :
( ~ sum(X0,X1,X2)
| ~ sP3(X3,X4,X1,X2)
| ~ sum(X0,X4,X3) ),
inference(resolution,[],[f43,f5]) ).
fof(f5,axiom,
! [X3,X0,X5] :
( sum(X3,X0,X5)
| ~ sum(X0,X3,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_addition) ).
fof(f43,plain,
! [X3,X0,X1,X4,X5] :
( ~ sum(X3,X5,X1)
| ~ sum(X0,X3,X4)
| ~ sP3(X4,X0,X5,X1) ),
inference(general_splitting,[],[f1,f42_D]) ).
fof(f42,plain,
! [X2,X0,X1,X4,X5] :
( sP3(X4,X0,X5,X1)
| sum(X0,X1,X2)
| ~ sum(X4,X5,X2) ),
inference(cnf_transformation,[],[f42_D]) ).
fof(f42_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(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/sandbox/benchmark/theBenchmark.p',associativity_addition_1) ).
fof(f1034,plain,
( sP3(additive_identity,additive_identity,c,d)
| ~ spl9_24 ),
inference(avatar_component_clause,[],[f1033]) ).
fof(f1033,plain,
( spl9_24
<=> sP3(additive_identity,additive_identity,c,d) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_24])]) ).
fof(f1191,plain,
spl9_24,
inference(avatar_contradiction_clause,[],[f1190]) ).
fof(f1190,plain,
( $false
| spl9_24 ),
inference(resolution,[],[f1167,f29]) ).
fof(f29,axiom,
defined(c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_is_defined) ).
fof(f1167,plain,
( ~ defined(c)
| spl9_24 ),
inference(resolution,[],[f1133,f3]) ).
fof(f1133,plain,
( ~ sum(additive_identity,c,c)
| spl9_24 ),
inference(resolution,[],[f1037,f252]) ).
fof(f252,plain,
~ sum(additive_identity,d,c),
inference(resolution,[],[f222,f34]) ).
fof(f34,axiom,
sum(a,c,u),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_8) ).
fof(f222,plain,
! [X0] :
( ~ sum(a,X0,u)
| ~ sum(additive_identity,d,X0) ),
inference(resolution,[],[f216,f5]) ).
fof(f216,plain,
! [X0] :
( ~ sum(X0,a,u)
| ~ sum(additive_identity,d,X0) ),
inference(resolution,[],[f213,f5]) ).
fof(f213,plain,
! [X0] :
( ~ sum(d,additive_identity,X0)
| ~ sum(X0,a,u) ),
inference(resolution,[],[f160,f35]) ).
fof(f35,axiom,
~ sum(d,b,u),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_sum_9) ).
fof(f160,plain,
! [X2,X0,X1] :
( sum(X0,b,X2)
| ~ sum(X0,additive_identity,X1)
| ~ sum(X1,a,X2) ),
inference(resolution,[],[f142,f42]) ).
fof(f142,plain,
! [X0,X1] :
( ~ sP3(X1,X0,a,b)
| ~ sum(X0,additive_identity,X1) ),
inference(resolution,[],[f43,f32]) ).
fof(f32,axiom,
sum(additive_identity,a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_6) ).
fof(f1037,plain,
( ! [X0] :
( sum(additive_identity,d,X0)
| ~ sum(additive_identity,c,X0) )
| spl9_24 ),
inference(resolution,[],[f1035,f42]) ).
fof(f1035,plain,
( ~ sP3(additive_identity,additive_identity,c,d)
| spl9_24 ),
inference(avatar_component_clause,[],[f1033]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : FLD013-4 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.11/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n006.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Apr 30 03:16:35 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.36 % (26208)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37 % (26209)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.37 % (26210)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.37 % (26211)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)
% 0.15/0.37 % (26213)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.37 % (26214)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.37 % (26212)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.37 % (26215)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)
% 0.15/0.37 TRYING [1]
% 0.15/0.37 TRYING [2]
% 0.15/0.37 TRYING [1]
% 0.15/0.37 TRYING [1]
% 0.15/0.37 TRYING [2]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 TRYING [3]
% 0.15/0.38 TRYING [3]
% 0.15/0.38 TRYING [3]
% 0.15/0.38 TRYING [3]
% 0.15/0.39 TRYING [4]
% 0.15/0.39 TRYING [4]
% 0.15/0.39 TRYING [4]
% 0.15/0.39 TRYING [4]
% 0.15/0.40 % (26211)First to succeed.
% 0.15/0.41 % (26211)Refutation found. Thanks to Tanya!
% 0.15/0.41 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.41 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.41 % (26211)------------------------------
% 0.15/0.41 % (26211)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.41 % (26211)Termination reason: Refutation
% 0.15/0.41
% 0.15/0.41 % (26211)Memory used [KB]: 1305
% 0.15/0.41 % (26211)Time elapsed: 0.033 s
% 0.15/0.41 % (26211)Instructions burned: 52 (million)
% 0.15/0.41 % (26211)------------------------------
% 0.15/0.41 % (26211)------------------------------
% 0.15/0.41 % (26208)Success in time 0.049 s
%------------------------------------------------------------------------------