TSTP Solution File: FLD031-3 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : FLD031-3 : 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 : n019.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 11:06:22 EDT 2024
% Result : Unsatisfiable 0.15s 0.39s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 13
% Syntax : Number of formulae : 32 ( 9 unt; 0 def)
% Number of atoms : 64 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 64 ( 32 ~; 28 |; 0 &)
% ( 4 <=>; 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 : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 33 ( 33 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1033,plain,
$false,
inference(avatar_sat_refutation,[],[f65,f954,f983,f1032]) ).
fof(f1032,plain,
~ spl9_16,
inference(avatar_contradiction_clause,[],[f1005]) ).
fof(f1005,plain,
( $false
| ~ spl9_16 ),
inference(resolution,[],[f949,f29]) ).
fof(f29,axiom,
~ sum(additive_identity,a,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_sum_3) ).
fof(f949,plain,
( sum(additive_identity,a,additive_identity)
| ~ spl9_16 ),
inference(avatar_component_clause,[],[f947]) ).
fof(f947,plain,
( spl9_16
<=> sum(additive_identity,a,additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_16])]) ).
fof(f983,plain,
spl9_17,
inference(avatar_contradiction_clause,[],[f982]) ).
fof(f982,plain,
( $false
| spl9_17 ),
inference(resolution,[],[f976,f17]) ).
fof(f17,axiom,
defined(multiplicative_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',well_definedness_of_multiplicative_identity) ).
fof(f976,plain,
( ~ defined(multiplicative_identity)
| spl9_17 ),
inference(resolution,[],[f953,f8]) ).
fof(f8,axiom,
! [X0] :
( product(multiplicative_identity,X0,X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_identity_multiplication) ).
fof(f953,plain,
( ~ product(multiplicative_identity,multiplicative_identity,multiplicative_identity)
| spl9_17 ),
inference(avatar_component_clause,[],[f951]) ).
fof(f951,plain,
( spl9_17
<=> product(multiplicative_identity,multiplicative_identity,multiplicative_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_17])]) ).
fof(f954,plain,
( ~ spl9_1
| spl9_16
| ~ spl9_17 ),
inference(avatar_split_clause,[],[f918,f951,f947,f56]) ).
fof(f56,plain,
( spl9_1
<=> defined(a) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_1])]) ).
fof(f918,plain,
( ~ product(multiplicative_identity,multiplicative_identity,multiplicative_identity)
| sum(additive_identity,a,additive_identity)
| ~ defined(a) ),
inference(resolution,[],[f916,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(f916,plain,
! [X0] :
( ~ product(multiplicative_inverse(a),a,X0)
| ~ product(multiplicative_identity,X0,multiplicative_identity) ),
inference(resolution,[],[f872,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(f872,plain,
! [X0] :
( ~ product(a,multiplicative_inverse(a),X0)
| ~ product(multiplicative_identity,X0,multiplicative_identity) ),
inference(resolution,[],[f139,f30]) ).
fof(f30,axiom,
~ product(multiplicative_identity,multiplicative_inverse(a),multiplicative_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_product_4) ).
fof(f139,plain,
! [X2,X0,X1] :
( product(multiplicative_identity,X0,X2)
| ~ product(a,X0,X1)
| ~ product(multiplicative_identity,X1,X2) ),
inference(resolution,[],[f125,f33]) ).
fof(f33,plain,
! [X2,X0,X1,X4,X5] :
( sP1(X5,X4,X0,X1)
| product(X4,X5,X2)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[],[f33_D]) ).
fof(f33_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(f125,plain,
! [X0,X1] :
( ~ sP1(X0,multiplicative_identity,multiplicative_identity,X1)
| ~ product(a,X0,X1) ),
inference(resolution,[],[f34,f28]) ).
fof(f28,axiom,
product(multiplicative_identity,a,multiplicative_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_2) ).
fof(f34,plain,
! [X3,X0,X1,X4,X5] :
( ~ product(X3,X5,X1)
| ~ product(X0,X3,X4)
| ~ sP1(X5,X4,X0,X1) ),
inference(general_splitting,[],[f7,f33_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(f65,plain,
spl9_1,
inference(avatar_contradiction_clause,[],[f64]) ).
fof(f64,plain,
( $false
| spl9_1 ),
inference(resolution,[],[f58,f27]) ).
fof(f27,axiom,
defined(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_defined) ).
fof(f58,plain,
( ~ defined(a)
| spl9_1 ),
inference(avatar_component_clause,[],[f56]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : FLD031-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n019.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 03:19:44 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % (7358)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.36 % (7362)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 TRYING [1]
% 0.15/0.37 TRYING [2]
% 0.15/0.37 % (7359)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.37 % (7360)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.37 % (7363)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.37 % (7361)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 % (7364)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.37 % (7365)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 [3]
% 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]
% 0.15/0.37 TRYING [2]
% 0.15/0.37 TRYING [3]
% 0.15/0.37 TRYING [3]
% 0.15/0.37 TRYING [3]
% 0.15/0.38 TRYING [4]
% 0.15/0.38 TRYING [4]
% 0.15/0.38 TRYING [4]
% 0.15/0.39 TRYING [4]
% 0.15/0.39 % (7361)First to succeed.
% 0.15/0.39 % (7364)Also succeeded, but the first one will report.
% 0.15/0.39 % (7361)Refutation found. Thanks to Tanya!
% 0.15/0.39 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.40 % (7361)------------------------------
% 0.15/0.40 % (7361)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.40 % (7361)Termination reason: Refutation
% 0.15/0.40
% 0.15/0.40 % (7361)Memory used [KB]: 1219
% 0.15/0.40 % (7361)Time elapsed: 0.027 s
% 0.15/0.40 % (7361)Instructions burned: 44 (million)
% 0.15/0.40 % (7361)------------------------------
% 0.15/0.40 % (7361)------------------------------
% 0.15/0.40 % (7358)Success in time 0.042 s
%------------------------------------------------------------------------------