TSTP Solution File: FLD030-4 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : FLD030-4 : 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 : n022.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 11:06:21 EDT 2024
% Result : Unsatisfiable 0.18s 0.38s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of formulae : 23 ( 7 unt; 0 def)
% Number of atoms : 45 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 45 ( 23 ~; 19 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 3 prp; 0-4 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 28 ( 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1215,plain,
$false,
inference(avatar_sat_refutation,[],[f316,f1180,f1214]) ).
fof(f1214,plain,
spl9_22,
inference(avatar_contradiction_clause,[],[f1208]) ).
fof(f1208,plain,
( $false
| spl9_22 ),
inference(resolution,[],[f1179,f32]) ).
fof(f32,axiom,
product(multiplicative_identity,a,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_6) ).
fof(f1179,plain,
( ~ product(multiplicative_identity,a,d)
| spl9_22 ),
inference(avatar_component_clause,[],[f1177]) ).
fof(f1177,plain,
( spl9_22
<=> product(multiplicative_identity,a,d) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_22])]) ).
fof(f1180,plain,
( ~ spl9_14
| ~ spl9_22 ),
inference(avatar_split_clause,[],[f1175,f1177,f310]) ).
fof(f310,plain,
( spl9_14
<=> defined(c) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_14])]) ).
fof(f1175,plain,
( ~ product(multiplicative_identity,a,d)
| ~ defined(c) ),
inference(resolution,[],[f1145,f8]) ).
fof(f8,axiom,
! [X0] :
( product(multiplicative_identity,X0,X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_identity_multiplication) ).
fof(f1145,plain,
! [X0] :
( ~ product(X0,c,c)
| ~ product(X0,a,d) ),
inference(resolution,[],[f255,f33]) ).
fof(f33,axiom,
~ product(d,b,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_product_7) ).
fof(f255,plain,
! [X2,X0,X1] :
( product(X1,b,X2)
| ~ product(X0,a,X1)
| ~ product(X0,c,X2) ),
inference(resolution,[],[f120,f36]) ).
fof(f36,plain,
! [X2,X0,X1,X4,X5] :
( sP1(X5,X4,X0,X1)
| product(X4,X5,X2)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[],[f36_D]) ).
fof(f36_D,plain,
! [X1,X0,X4,X5] :
( ! [X2] :
( product(X4,X5,X2)
| ~ product(X0,X1,X2) )
<=> ~ sP1(X5,X4,X0,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).
fof(f120,plain,
! [X0,X1] :
( ~ sP1(b,X1,X0,c)
| ~ product(X0,a,X1) ),
inference(resolution,[],[f37,f31]) ).
fof(f31,axiom,
product(a,b,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_5) ).
fof(f37,plain,
! [X3,X0,X1,X4,X5] :
( ~ product(X3,X5,X1)
| ~ product(X0,X3,X4)
| ~ sP1(X5,X4,X0,X1) ),
inference(general_splitting,[],[f7,f36_D]) ).
fof(f7,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X0,X1,X2)
| ~ product(X3,X5,X1)
| ~ product(X0,X3,X4)
| product(X4,X5,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_multiplication_2) ).
fof(f316,plain,
spl9_14,
inference(avatar_contradiction_clause,[],[f315]) ).
fof(f315,plain,
( $false
| spl9_14 ),
inference(resolution,[],[f312,f29]) ).
fof(f29,axiom,
defined(c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_is_defined) ).
fof(f312,plain,
( ~ defined(c)
| spl9_14 ),
inference(avatar_component_clause,[],[f310]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : FLD030-4 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.06/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.33 % Computer : n022.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Apr 30 03:18:13 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % (15045)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.35 % (15050)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.12/0.35 % (15049)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.12/0.35 % (15052)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)
% 0.12/0.35 % (15048)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)
% 0.12/0.35 % (15047)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.12/0.35 % (15051)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.12/0.35 % (15046)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.12/0.35 TRYING [1]
% 0.12/0.35 TRYING [1]
% 0.12/0.35 TRYING [1]
% 0.12/0.35 TRYING [1]
% 0.12/0.35 TRYING [2]
% 0.12/0.35 TRYING [2]
% 0.12/0.35 TRYING [2]
% 0.12/0.35 TRYING [2]
% 0.12/0.35 TRYING [3]
% 0.12/0.35 TRYING [3]
% 0.12/0.35 TRYING [3]
% 0.12/0.35 TRYING [3]
% 0.12/0.37 TRYING [4]
% 0.12/0.37 TRYING [4]
% 0.12/0.37 TRYING [4]
% 0.12/0.37 TRYING [4]
% 0.12/0.38 % (15048)First to succeed.
% 0.18/0.38 % (15051)Also succeeded, but the first one will report.
% 0.18/0.38 % (15048)Refutation found. Thanks to Tanya!
% 0.18/0.38 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.38 % (15048)------------------------------
% 0.18/0.38 % (15048)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.18/0.38 % (15048)Termination reason: Refutation
% 0.18/0.38
% 0.18/0.38 % (15048)Memory used [KB]: 1271
% 0.18/0.38 % (15048)Time elapsed: 0.028 s
% 0.18/0.38 % (15048)Instructions burned: 51 (million)
% 0.18/0.38 % (15048)------------------------------
% 0.18/0.38 % (15048)------------------------------
% 0.18/0.38 % (15045)Success in time 0.043 s
%------------------------------------------------------------------------------