TSTP Solution File: FLD017-3 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : FLD017-3 : 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 : Sun May 5 05:07:54 EDT 2024
% Result : Unsatisfiable 0.21s 0.37s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of formulae : 27 ( 8 unt; 0 def)
% Number of atoms : 52 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 53 ( 28 ~; 22 |; 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 : 32 ( 32 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f240,plain,
$false,
inference(avatar_sat_refutation,[],[f229,f231,f239]) ).
fof(f239,plain,
spl9_6,
inference(avatar_contradiction_clause,[],[f236]) ).
fof(f236,plain,
( $false
| spl9_6 ),
inference(resolution,[],[f234,f32]) ).
fof(f32,axiom,
sum(a,b,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_6) ).
fof(f234,plain,
( ~ sum(a,b,c)
| spl9_6 ),
inference(resolution,[],[f228,f5]) ).
fof(f5,axiom,
! [X3,X0,X5] :
( sum(X3,X0,X5)
| ~ sum(X0,X3,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_addition) ).
fof(f228,plain,
( ~ sum(b,a,c)
| spl9_6 ),
inference(avatar_component_clause,[],[f226]) ).
fof(f226,plain,
( spl9_6
<=> sum(b,a,c) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_6])]) ).
fof(f231,plain,
spl9_5,
inference(avatar_contradiction_clause,[],[f230]) ).
fof(f230,plain,
( $false
| spl9_5 ),
inference(resolution,[],[f224,f28]) ).
fof(f28,axiom,
defined(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_is_defined) ).
fof(f224,plain,
( ~ defined(b)
| spl9_5 ),
inference(avatar_component_clause,[],[f222]) ).
fof(f222,plain,
( spl9_5
<=> defined(b) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_5])]) ).
fof(f229,plain,
( ~ spl9_5
| ~ spl9_6 ),
inference(avatar_split_clause,[],[f214,f226,f222]) ).
fof(f214,plain,
( ~ sum(b,a,c)
| ~ defined(b) ),
inference(resolution,[],[f205,f3]) ).
fof(f3,axiom,
! [X0] :
( sum(additive_identity,X0,X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_identity_addition) ).
fof(f205,plain,
! [X0] :
( ~ sum(X0,a,c)
| ~ sum(additive_identity,b,X0) ),
inference(resolution,[],[f203,f5]) ).
fof(f203,plain,
! [X0] :
( ~ sum(b,additive_identity,X0)
| ~ sum(X0,a,c) ),
inference(resolution,[],[f155,f52]) ).
fof(f52,plain,
~ sum(b,x,c),
inference(resolution,[],[f5,f33]) ).
fof(f33,axiom,
~ sum(x,b,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_sum_7) ).
fof(f155,plain,
! [X2,X0,X1] :
( sum(X0,x,X2)
| ~ sum(X0,additive_identity,X1)
| ~ sum(X1,a,X2) ),
inference(resolution,[],[f139,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(f139,plain,
! [X0,X1] :
( ~ sP3(X1,X0,a,x)
| ~ sum(X0,additive_identity,X1) ),
inference(resolution,[],[f41,f31]) ).
fof(f31,axiom,
sum(additive_identity,a,x),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',associativity_addition_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : FLD017-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.03/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.34 % Computer : n019.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Fri May 3 19:48:38 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % (20763)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.36 % (20767)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.36 TRYING [1]
% 0.14/0.36 TRYING [2]
% 0.14/0.37 % (20764)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.37 % (20765)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.37 % (20766)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 % (20768)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.37 TRYING [3]
% 0.14/0.37 % (20770)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 % (20769)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [2]
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [2]
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [3]
% 0.14/0.37 TRYING [2]
% 0.14/0.37 TRYING [3]
% 0.21/0.37 TRYING [3]
% 0.21/0.37 % (20766)First to succeed.
% 0.21/0.37 % (20766)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-20763"
% 0.21/0.37 % (20766)Refutation found. Thanks to Tanya!
% 0.21/0.37 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.37 % (20766)------------------------------
% 0.21/0.37 % (20766)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.37 % (20766)Termination reason: Refutation
% 0.21/0.37
% 0.21/0.37 % (20766)Memory used [KB]: 915
% 0.21/0.37 % (20766)Time elapsed: 0.009 s
% 0.21/0.37 % (20766)Instructions burned: 10 (million)
% 0.21/0.37 % (20763)Success in time 0.025 s
%------------------------------------------------------------------------------