TSTP Solution File: FLD037-3 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : FLD037-3 : 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 : n024.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 05:08:00 EDT 2024
% Result : Unsatisfiable 0.21s 0.41s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 14
% Syntax : Number of formulae : 35 ( 8 unt; 0 def)
% Number of atoms : 72 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 74 ( 37 ~; 32 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 5 prp; 0-4 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 34 ( 34 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f991,plain,
$false,
inference(avatar_sat_refutation,[],[f64,f66,f889,f943,f990]) ).
fof(f990,plain,
~ spl9_17,
inference(avatar_contradiction_clause,[],[f964]) ).
fof(f964,plain,
( $false
| ~ spl9_17 ),
inference(resolution,[],[f942,f29]) ).
fof(f29,axiom,
~ sum(additive_identity,a,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_sum_3) ).
fof(f942,plain,
( sum(additive_identity,a,additive_identity)
| ~ spl9_17 ),
inference(avatar_component_clause,[],[f940]) ).
fof(f940,plain,
( spl9_17
<=> sum(additive_identity,a,additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_17])]) ).
fof(f943,plain,
( ~ spl9_1
| spl9_17
| spl9_16 ),
inference(avatar_split_clause,[],[f910,f886,f940,f57]) ).
fof(f57,plain,
( spl9_1
<=> defined(a) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_1])]) ).
fof(f886,plain,
( spl9_16
<=> product(multiplicative_inverse(a),a,multiplicative_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_16])]) ).
fof(f910,plain,
( sum(additive_identity,a,additive_identity)
| ~ defined(a)
| spl9_16 ),
inference(resolution,[],[f888,f9]) ).
fof(f9,axiom,
! [X0] :
( product(multiplicative_inverse(X0),X0,multiplicative_identity)
| sum(additive_identity,X0,additive_identity)
| ~ defined(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_inverse_multiplication) ).
fof(f888,plain,
( ~ product(multiplicative_inverse(a),a,multiplicative_identity)
| spl9_16 ),
inference(avatar_component_clause,[],[f886]) ).
fof(f889,plain,
( ~ spl9_2
| ~ spl9_16 ),
inference(avatar_split_clause,[],[f879,f886,f61]) ).
fof(f61,plain,
( spl9_2
<=> defined(multiplicative_inverse(a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_2])]) ).
fof(f879,plain,
( ~ product(multiplicative_inverse(a),a,multiplicative_identity)
| ~ defined(multiplicative_inverse(a)) ),
inference(resolution,[],[f857,f8]) ).
fof(f8,axiom,
! [X0] :
( product(multiplicative_identity,X0,X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_identity_multiplication) ).
fof(f857,plain,
! [X0] :
( ~ product(multiplicative_identity,multiplicative_inverse(a),X0)
| ~ product(X0,a,multiplicative_identity) ),
inference(resolution,[],[f816,f10]) ).
fof(f10,axiom,
! [X3,X0,X5] :
( product(X3,X0,X5)
| ~ product(X0,X3,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_multiplication) ).
fof(f816,plain,
! [X0] :
( ~ product(multiplicative_inverse(a),multiplicative_identity,X0)
| ~ product(X0,a,multiplicative_identity) ),
inference(resolution,[],[f139,f52]) ).
fof(f52,plain,
~ product(multiplicative_inverse(a),b,multiplicative_identity),
inference(resolution,[],[f10,f31]) ).
fof(f31,axiom,
~ product(b,multiplicative_inverse(a),multiplicative_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_product_5) ).
fof(f139,plain,
! [X2,X0,X1] :
( product(X0,b,X2)
| ~ product(X0,multiplicative_identity,X1)
| ~ product(X1,a,X2) ),
inference(resolution,[],[f118,f34]) ).
fof(f34,plain,
! [X2,X0,X1,X4,X5] :
( sP1(X4,X0,X5,X1)
| product(X0,X1,X2)
| ~ product(X4,X5,X2) ),
inference(cnf_transformation,[],[f34_D]) ).
fof(f34_D,plain,
! [X1,X5,X0,X4] :
( ! [X2] :
( product(X0,X1,X2)
| ~ product(X4,X5,X2) )
<=> ~ sP1(X4,X0,X5,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).
fof(f118,plain,
! [X0,X1] :
( ~ sP1(X1,X0,a,b)
| ~ product(X0,multiplicative_identity,X1) ),
inference(resolution,[],[f35,f30]) ).
fof(f30,axiom,
product(multiplicative_identity,a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_4) ).
fof(f35,plain,
! [X3,X0,X1,X4,X5] :
( ~ product(X3,X5,X1)
| ~ product(X0,X3,X4)
| ~ sP1(X4,X0,X5,X1) ),
inference(general_splitting,[],[f6,f34_D]) ).
fof(f6,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X4,X5,X2)
| ~ product(X3,X5,X1)
| ~ product(X0,X3,X4)
| product(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_multiplication_1) ).
fof(f66,plain,
spl9_1,
inference(avatar_contradiction_clause,[],[f65]) ).
fof(f65,plain,
( $false
| spl9_1 ),
inference(resolution,[],[f59,f27]) ).
fof(f27,axiom,
defined(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_defined) ).
fof(f59,plain,
( ~ defined(a)
| spl9_1 ),
inference(avatar_component_clause,[],[f57]) ).
fof(f64,plain,
( ~ spl9_1
| spl9_2 ),
inference(avatar_split_clause,[],[f55,f61,f57]) ).
fof(f55,plain,
( defined(multiplicative_inverse(a))
| ~ defined(a) ),
inference(resolution,[],[f18,f29]) ).
fof(f18,axiom,
! [X0] :
( sum(additive_identity,X0,additive_identity)
| defined(multiplicative_inverse(X0))
| ~ defined(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',well_definedness_of_multiplicative_inverse) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : FLD037-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n024.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 : Fri May 3 19:44:38 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.37 % (14774)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (14780)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.38 % (14777)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 % (14776)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.39 TRYING [1]
% 0.14/0.39 % (14775)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.39 TRYING [2]
% 0.14/0.39 % (14778)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.39 % (14781)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)
% 0.14/0.39 TRYING [1]
% 0.14/0.39 TRYING [3]
% 0.14/0.39 % (14779)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.39 TRYING [2]
% 0.14/0.39 TRYING [1]
% 0.14/0.39 TRYING [1]
% 0.14/0.39 TRYING [3]
% 0.14/0.39 TRYING [2]
% 0.14/0.39 TRYING [2]
% 0.14/0.39 TRYING [3]
% 0.14/0.39 TRYING [3]
% 0.14/0.40 TRYING [4]
% 0.14/0.40 TRYING [4]
% 0.14/0.40 TRYING [4]
% 0.14/0.41 TRYING [4]
% 0.21/0.41 % (14777)First to succeed.
% 0.21/0.41 % (14777)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-14774"
% 0.21/0.41 % (14780)Also succeeded, but the first one will report.
% 0.21/0.41 % (14777)Refutation found. Thanks to Tanya!
% 0.21/0.41 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.41 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.41 % (14777)------------------------------
% 0.21/0.41 % (14777)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.41 % (14777)Termination reason: Refutation
% 0.21/0.41
% 0.21/0.41 % (14777)Memory used [KB]: 1204
% 0.21/0.41 % (14777)Time elapsed: 0.028 s
% 0.21/0.41 % (14777)Instructions burned: 41 (million)
% 0.21/0.41 % (14774)Success in time 0.046 s
%------------------------------------------------------------------------------