TSTP Solution File: FLD007-3 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : FLD007-3 : 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 : 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 11:06:12 EDT 2024
% Result : Unsatisfiable 0.20s 0.41s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 12
% Syntax : Number of formulae : 34 ( 7 unt; 0 def)
% Number of atoms : 74 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 81 ( 41 ~; 35 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 5 prp; 0-4 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 39 ( 39 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1345,plain,
$false,
inference(avatar_sat_refutation,[],[f156,f1300,f1305,f1323,f1344]) ).
fof(f1344,plain,
spl9_30,
inference(avatar_contradiction_clause,[],[f1343]) ).
fof(f1343,plain,
( $false
| spl9_30 ),
inference(resolution,[],[f1330,f27]) ).
fof(f27,axiom,
defined(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_defined) ).
fof(f1330,plain,
( ~ defined(a)
| spl9_30 ),
inference(resolution,[],[f1322,f3]) ).
fof(f3,axiom,
! [X0] :
( sum(additive_identity,X0,X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_identity_addition) ).
fof(f1322,plain,
( ~ sum(additive_identity,a,a)
| spl9_30 ),
inference(avatar_component_clause,[],[f1320]) ).
fof(f1320,plain,
( spl9_30
<=> sum(additive_identity,a,a) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_30])]) ).
fof(f1323,plain,
( ~ spl9_7
| ~ spl9_30
| ~ spl9_27 ),
inference(avatar_split_clause,[],[f1314,f1298,f1320,f133]) ).
fof(f133,plain,
( spl9_7
<=> defined(a) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_7])]) ).
fof(f1298,plain,
( spl9_27
<=> ! [X0] :
( ~ sum(additive_inverse(a),X0,additive_identity)
| ~ sum(additive_identity,X0,a) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_27])]) ).
fof(f1314,plain,
( ~ sum(additive_identity,a,a)
| ~ defined(a)
| ~ spl9_27 ),
inference(resolution,[],[f1299,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(f1299,plain,
( ! [X0] :
( ~ sum(additive_inverse(a),X0,additive_identity)
| ~ sum(additive_identity,X0,a) )
| ~ spl9_27 ),
inference(avatar_component_clause,[],[f1298]) ).
fof(f1305,plain,
spl9_26,
inference(avatar_contradiction_clause,[],[f1304]) ).
fof(f1304,plain,
( $false
| spl9_26 ),
inference(resolution,[],[f1302,f27]) ).
fof(f1302,plain,
( ~ defined(a)
| spl9_26 ),
inference(resolution,[],[f1296,f15]) ).
fof(f15,axiom,
! [X0] :
( defined(additive_inverse(X0))
| ~ defined(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',well_definedness_of_additive_inverse) ).
fof(f1296,plain,
( ~ defined(additive_inverse(a))
| spl9_26 ),
inference(avatar_component_clause,[],[f1294]) ).
fof(f1294,plain,
( spl9_26
<=> defined(additive_inverse(a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_26])]) ).
fof(f1300,plain,
( ~ spl9_26
| spl9_27 ),
inference(avatar_split_clause,[],[f1223,f1298,f1294]) ).
fof(f1223,plain,
! [X0] :
( ~ sum(additive_inverse(a),X0,additive_identity)
| ~ sum(additive_identity,X0,a)
| ~ defined(additive_inverse(a)) ),
inference(resolution,[],[f721,f4]) ).
fof(f721,plain,
! [X2,X0,X1] :
( ~ sum(additive_inverse(additive_inverse(a)),X0,X1)
| ~ sum(X0,X2,additive_identity)
| ~ sum(X1,X2,a) ),
inference(resolution,[],[f171,f48]) ).
fof(f48,plain,
~ sum(additive_inverse(additive_inverse(a)),additive_identity,a),
inference(resolution,[],[f5,f28]) ).
fof(f28,axiom,
~ sum(additive_identity,additive_inverse(additive_inverse(a)),a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_sum_2) ).
fof(f5,axiom,
! [X3,X0,X5] :
( sum(X3,X0,X5)
| ~ sum(X0,X3,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_addition) ).
fof(f171,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,[],[f38,f37]) ).
fof(f37,plain,
! [X2,X0,X1,X4,X5] :
( sP4(X4,X0,X5,X1)
| sum(X0,X1,X2)
| ~ sum(X4,X5,X2) ),
inference(cnf_transformation,[],[f37_D]) ).
fof(f37_D,plain,
! [X1,X5,X0,X4] :
( ! [X2] :
( sum(X0,X1,X2)
| ~ sum(X4,X5,X2) )
<=> ~ sP4(X4,X0,X5,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP4])]) ).
fof(f38,plain,
! [X3,X0,X1,X4,X5] :
( ~ sum(X3,X5,X1)
| ~ sum(X0,X3,X4)
| ~ sP4(X4,X0,X5,X1) ),
inference(general_splitting,[],[f1,f37_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(f156,plain,
spl9_7,
inference(avatar_contradiction_clause,[],[f155]) ).
fof(f155,plain,
( $false
| spl9_7 ),
inference(resolution,[],[f135,f27]) ).
fof(f135,plain,
( ~ defined(a)
| spl9_7 ),
inference(avatar_component_clause,[],[f133]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : FLD007-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n006.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 03:17:35 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % (30323)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (30325)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.37 % (30327)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 % (30324)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.37 % (30328)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.37 % (30329)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.37 % (30326)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 % (30330)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 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]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 TRYING [3]
% 0.14/0.39 TRYING [4]
% 0.14/0.39 TRYING [4]
% 0.14/0.39 TRYING [4]
% 0.14/0.39 TRYING [4]
% 0.20/0.40 % (30326)First to succeed.
% 0.20/0.41 % (30326)Refutation found. Thanks to Tanya!
% 0.20/0.41 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.41 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.41 % (30326)------------------------------
% 0.20/0.41 % (30326)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.20/0.41 % (30326)Termination reason: Refutation
% 0.20/0.41
% 0.20/0.41 % (30326)Memory used [KB]: 1326
% 0.20/0.41 % (30326)Time elapsed: 0.034 s
% 0.20/0.41 % (30326)Instructions burned: 55 (million)
% 0.20/0.41 % (30326)------------------------------
% 0.20/0.41 % (30326)------------------------------
% 0.20/0.41 % (30323)Success in time 0.031 s
%------------------------------------------------------------------------------