TSTP Solution File: FLD022-3 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : FLD022-3 : 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 : n029.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 : Sun May 5 05:07:55 EDT 2024
% Result : Unsatisfiable 8.80s 1.67s
% Output : Refutation 8.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 15
% Syntax : Number of formulae : 44 ( 9 unt; 0 def)
% Number of atoms : 95 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 107 ( 56 ~; 46 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 4 prp; 0-4 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-1 aty)
% Number of variables : 63 ( 63 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f26889,plain,
$false,
inference(avatar_sat_refutation,[],[f1502,f1504,f26114,f26888]) ).
fof(f26888,plain,
spl9_83,
inference(avatar_contradiction_clause,[],[f26887]) ).
fof(f26887,plain,
( $false
| spl9_83 ),
inference(resolution,[],[f26858,f28]) ).
fof(f28,axiom,
defined(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_is_defined) ).
fof(f26858,plain,
( ~ defined(b)
| spl9_83 ),
inference(resolution,[],[f26357,f3]) ).
fof(f3,axiom,
! [X0] :
( sum(additive_identity,X0,X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_identity_addition) ).
fof(f26357,plain,
( ~ sum(additive_identity,b,b)
| spl9_83 ),
inference(resolution,[],[f26113,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(f26113,plain,
( ~ sum(b,additive_identity,b)
| spl9_83 ),
inference(avatar_component_clause,[],[f26111]) ).
fof(f26111,plain,
( spl9_83
<=> sum(b,additive_identity,b) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_83])]) ).
fof(f26114,plain,
( ~ spl9_19
| ~ spl9_83
| spl9_20 ),
inference(avatar_split_clause,[],[f26088,f1499,f26111,f1495]) ).
fof(f1495,plain,
( spl9_19
<=> defined(c) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_19])]) ).
fof(f1499,plain,
( spl9_20
<=> sum(u,additive_inverse(c),b) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_20])]) ).
fof(f26088,plain,
( ~ sum(b,additive_identity,b)
| ~ defined(c)
| spl9_20 ),
inference(resolution,[],[f20939,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(f20939,plain,
( ! [X0] :
( ~ sum(additive_inverse(c),c,X0)
| ~ sum(b,X0,b) )
| spl9_20 ),
inference(resolution,[],[f1546,f5]) ).
fof(f1546,plain,
( ! [X0] :
( ~ sum(c,additive_inverse(c),X0)
| ~ sum(b,X0,b) )
| spl9_20 ),
inference(resolution,[],[f217,f1501]) ).
fof(f1501,plain,
( ~ sum(u,additive_inverse(c),b)
| spl9_20 ),
inference(avatar_component_clause,[],[f1499]) ).
fof(f217,plain,
! [X2,X0,X1] :
( sum(u,X0,X2)
| ~ sum(c,X0,X1)
| ~ sum(b,X1,X2) ),
inference(resolution,[],[f190,f42]) ).
fof(f42,plain,
! [X2,X0,X1,X4,X5] :
( sP4(X5,X4,X0,X1)
| sum(X4,X5,X2)
| ~ sum(X0,X1,X2) ),
inference(cnf_transformation,[],[f42_D]) ).
fof(f42_D,plain,
! [X1,X0,X4,X5] :
( ! [X2] :
( sum(X4,X5,X2)
| ~ sum(X0,X1,X2) )
<=> ~ sP4(X5,X4,X0,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP4])]) ).
fof(f190,plain,
! [X0,X1] :
( ~ sP4(X0,u,b,X1)
| ~ sum(c,X0,X1) ),
inference(resolution,[],[f43,f32]) ).
fof(f32,axiom,
sum(b,c,u),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_6) ).
fof(f43,plain,
! [X3,X0,X1,X4,X5] :
( ~ sum(X3,X5,X1)
| ~ sum(X0,X3,X4)
| ~ sP4(X5,X4,X0,X1) ),
inference(general_splitting,[],[f2,f42_D]) ).
fof(f2,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X0,X1,X2)
| ~ sum(X3,X5,X1)
| ~ sum(X0,X3,X4)
| sum(X4,X5,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_addition_2) ).
fof(f1504,plain,
spl9_19,
inference(avatar_contradiction_clause,[],[f1503]) ).
fof(f1503,plain,
( $false
| spl9_19 ),
inference(resolution,[],[f1497,f29]) ).
fof(f29,axiom,
defined(c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_is_defined) ).
fof(f1497,plain,
( ~ defined(c)
| spl9_19 ),
inference(avatar_component_clause,[],[f1495]) ).
fof(f1502,plain,
( ~ spl9_19
| ~ spl9_20 ),
inference(avatar_split_clause,[],[f1447,f1499,f1495]) ).
fof(f1447,plain,
( ~ sum(u,additive_inverse(c),b)
| ~ defined(c) ),
inference(resolution,[],[f1411,f4]) ).
fof(f1411,plain,
! [X0] :
( ~ sum(X0,c,additive_identity)
| ~ sum(u,X0,b) ),
inference(resolution,[],[f1389,f5]) ).
fof(f1389,plain,
! [X0] :
( ~ sum(X0,u,b)
| ~ sum(X0,c,additive_identity) ),
inference(resolution,[],[f1354,f5]) ).
fof(f1354,plain,
! [X0] :
( ~ sum(c,X0,additive_identity)
| ~ sum(X0,u,b) ),
inference(resolution,[],[f1321,f5]) ).
fof(f1321,plain,
! [X0] :
( ~ sum(u,X0,b)
| ~ sum(c,X0,additive_identity) ),
inference(resolution,[],[f200,f52]) ).
fof(f52,plain,
~ sum(a,additive_identity,b),
inference(resolution,[],[f5,f33]) ).
fof(f33,axiom,
~ sum(additive_identity,a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_sum_7) ).
fof(f200,plain,
! [X2,X0,X1] :
( sum(a,X1,X2)
| ~ sum(c,X0,X1)
| ~ sum(u,X0,X2) ),
inference(resolution,[],[f161,f40]) ).
fof(f40,plain,
! [X2,X0,X1,X4,X5] :
( sP3(X4,X0,X5,X1)
| sum(X0,X1,X2)
| ~ sum(X4,X5,X2) ),
inference(cnf_transformation,[],[f40_D]) ).
fof(f40_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(f161,plain,
! [X0,X1] :
( ~ sP3(u,a,X0,X1)
| ~ sum(c,X0,X1) ),
inference(resolution,[],[f41,f31]) ).
fof(f31,axiom,
sum(a,c,u),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_5) ).
fof(f41,plain,
! [X3,X0,X1,X4,X5] :
( ~ sum(X3,X5,X1)
| ~ sum(X0,X3,X4)
| ~ sP3(X4,X0,X5,X1) ),
inference(general_splitting,[],[f1,f40_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) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : FLD022-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.07/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n029.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 19:49:08 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (12871)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (12877)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.38 % (12874)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)
% 0.15/0.38 % (12875)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.38 % (12872)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.38 % (12873)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.38 % (12878)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)
% 0.15/0.38 % (12876)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 TRYING [3]
% 0.15/0.39 TRYING [3]
% 0.15/0.39 TRYING [3]
% 0.15/0.39 TRYING [3]
% 0.15/0.40 TRYING [4]
% 0.15/0.40 TRYING [4]
% 0.15/0.40 TRYING [4]
% 0.15/0.40 TRYING [4]
% 0.20/0.43 TRYING [5]
% 0.20/0.43 TRYING [5]
% 0.20/0.44 TRYING [5]
% 0.20/0.44 TRYING [5]
% 0.20/0.51 TRYING [6]
% 0.20/0.51 TRYING [6]
% 0.20/0.52 TRYING [6]
% 0.20/0.53 TRYING [6]
% 1.97/0.66 TRYING [7]
% 1.97/0.67 TRYING [7]
% 1.97/0.69 TRYING [7]
% 2.62/0.74 TRYING [7]
% 5.85/1.19 TRYING [8]
% 6.69/1.34 TRYING [8]
% 6.69/1.37 TRYING [8]
% 8.80/1.67 % (12874)First to succeed.
% 8.80/1.67 % (12874)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-12871"
% 8.80/1.67 % (12874)Refutation found. Thanks to Tanya!
% 8.80/1.67 % SZS status Unsatisfiable for theBenchmark
% 8.80/1.67 % SZS output start Proof for theBenchmark
% See solution above
% 8.80/1.67 % (12874)------------------------------
% 8.80/1.67 % (12874)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 8.80/1.67 % (12874)Termination reason: Refutation
% 8.80/1.67
% 8.80/1.67 % (12874)Memory used [KB]: 12604
% 8.80/1.67 % (12874)Time elapsed: 1.290 s
% 8.80/1.67 % (12874)Instructions burned: 3259 (million)
% 8.80/1.67 % (12871)Success in time 1.296 s
%------------------------------------------------------------------------------