TSTP Solution File: FLD058-3 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : FLD058-3 : 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 : n029.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 05:08:06 EDT 2024
% Result : Unsatisfiable 0.23s 0.40s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 10
% Syntax : Number of formulae : 23 ( 10 unt; 0 def)
% Number of atoms : 42 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 39 ( 20 ~; 18 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 2 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 17 ( 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f509,plain,
$false,
inference(avatar_sat_refutation,[],[f501,f508]) ).
fof(f508,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f507]) ).
fof(f507,plain,
( $false
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f506,f31]) ).
fof(f31,axiom,
~ sum(additive_identity,a,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_sum_5) ).
fof(f506,plain,
( sum(additive_identity,a,additive_identity)
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f504,f29]) ).
fof(f29,axiom,
less_or_equal(additive_identity,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_or_equal_3) ).
fof(f504,plain,
( ~ less_or_equal(additive_identity,a)
| sum(additive_identity,a,additive_identity)
| ~ spl0_2 ),
inference(resolution,[],[f59,f21]) ).
fof(f21,axiom,
! [X3,X0] :
( ~ less_or_equal(X0,X3)
| ~ less_or_equal(X3,X0)
| sum(additive_identity,X0,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',antisymmetry_of_order_relation) ).
fof(f59,plain,
( less_or_equal(a,additive_identity)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f58]) ).
fof(f58,plain,
( spl0_2
<=> less_or_equal(a,additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f501,plain,
spl0_2,
inference(avatar_split_clause,[],[f481,f58]) ).
fof(f481,plain,
less_or_equal(a,additive_identity),
inference(resolution,[],[f328,f33]) ).
fof(f33,plain,
sum(b,additive_identity,additive_identity),
inference(resolution,[],[f5,f32]) ).
fof(f32,axiom,
sum(additive_identity,b,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_6) ).
fof(f5,axiom,
! [X3,X0,X5] :
( ~ sum(X0,X3,X5)
| sum(X3,X0,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_addition) ).
fof(f328,plain,
! [X0] :
( ~ sum(b,additive_identity,X0)
| less_or_equal(a,X0) ),
inference(subsumption_resolution,[],[f323,f27]) ).
fof(f27,axiom,
defined(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_is_defined) ).
fof(f323,plain,
! [X0] :
( ~ sum(b,additive_identity,X0)
| less_or_equal(a,X0)
| ~ defined(a) ),
inference(resolution,[],[f124,f34]) ).
fof(f34,plain,
! [X0] :
( sum(X0,additive_identity,X0)
| ~ defined(X0) ),
inference(resolution,[],[f5,f3]) ).
fof(f3,axiom,
! [X0] :
( sum(additive_identity,X0,X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_identity_addition) ).
fof(f124,plain,
! [X2,X0,X1] :
( ~ sum(a,X2,X0)
| ~ sum(b,X2,X1)
| less_or_equal(X0,X1) ),
inference(resolution,[],[f24,f30]) ).
fof(f30,axiom,
less_or_equal(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_or_equal_4) ).
fof(f24,axiom,
! [X3,X0,X1,X4,X5] :
( ~ less_or_equal(X0,X3)
| less_or_equal(X4,X1)
| ~ sum(X3,X5,X1)
| ~ sum(X0,X5,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',compatibility_of_order_relation_and_addition) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : FLD058-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.08/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n029.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 19:45:08 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.37 % (4234)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (4240)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.38 % (4235)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.38 % (4239)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.38 % (4238)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.38 % (4237)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)
% 0.15/0.38 % (4236)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.38 % (4241)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)
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [1]
% 0.15/0.39 TRYING [2]
% 0.15/0.39 TRYING [2]
% 0.15/0.39 TRYING [1]
% 0.15/0.39 TRYING [1]
% 0.15/0.39 TRYING [2]
% 0.15/0.39 TRYING [2]
% 0.15/0.39 TRYING [3]
% 0.15/0.39 TRYING [3]
% 0.15/0.39 TRYING [3]
% 0.15/0.39 TRYING [3]
% 0.23/0.40 % (4240)First to succeed.
% 0.23/0.40 % (4240)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4234"
% 0.23/0.40 TRYING [4]
% 0.23/0.40 % (4240)Refutation found. Thanks to Tanya!
% 0.23/0.40 % SZS status Unsatisfiable for theBenchmark
% 0.23/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.23/0.40 % (4240)------------------------------
% 0.23/0.40 % (4240)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.23/0.40 % (4240)Termination reason: Refutation
% 0.23/0.40
% 0.23/0.40 % (4240)Memory used [KB]: 946
% 0.23/0.40 % (4240)Time elapsed: 0.016 s
% 0.23/0.40 % (4240)Instructions burned: 24 (million)
% 0.23/0.40 % (4234)Success in time 0.032 s
%------------------------------------------------------------------------------