TSTP Solution File: FLD069-3 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : FLD069-3 : 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 : n032.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 05:08:10 EDT 2024
% Result : Unsatisfiable 0.16s 0.36s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 24 ( 11 unt; 0 def)
% Number of atoms : 45 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 40 ( 19 ~; 20 |; 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 : 14 ( 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1023,plain,
$false,
inference(avatar_sat_refutation,[],[f1012,f1022]) ).
fof(f1022,plain,
~ spl0_4,
inference(avatar_contradiction_clause,[],[f1021]) ).
fof(f1021,plain,
( $false
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f1020,f31]) ).
fof(f31,axiom,
~ sum(additive_identity,b,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_sum_5) ).
fof(f1020,plain,
( sum(additive_identity,b,additive_identity)
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f1016,f30]) ).
fof(f30,axiom,
less_or_equal(additive_identity,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_or_equal_4) ).
fof(f1016,plain,
( ~ less_or_equal(additive_identity,b)
| sum(additive_identity,b,additive_identity)
| ~ spl0_4 ),
inference(resolution,[],[f66,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(f66,plain,
( less_or_equal(b,additive_identity)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f65]) ).
fof(f65,plain,
( spl0_4
<=> less_or_equal(b,additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f1012,plain,
spl0_4,
inference(avatar_split_clause,[],[f996,f65]) ).
fof(f996,plain,
less_or_equal(b,additive_identity),
inference(resolution,[],[f314,f220]) ).
fof(f220,plain,
sum(additive_identity,b,b),
inference(subsumption_resolution,[],[f218,f197]) ).
fof(f197,plain,
less_or_equal(b,b),
inference(duplicate_literal_removal,[],[f196]) ).
fof(f196,plain,
( less_or_equal(b,b)
| less_or_equal(b,b) ),
inference(resolution,[],[f76,f28]) ).
fof(f28,axiom,
defined(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_is_defined) ).
fof(f76,plain,
! [X0] :
( ~ defined(X0)
| less_or_equal(X0,b)
| less_or_equal(b,X0) ),
inference(resolution,[],[f23,f28]) ).
fof(f23,axiom,
! [X3,X0] :
( ~ defined(X0)
| ~ defined(X3)
| less_or_equal(X3,X0)
| less_or_equal(X0,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',totality_of_order_relation) ).
fof(f218,plain,
( ~ less_or_equal(b,b)
| sum(additive_identity,b,b) ),
inference(resolution,[],[f197,f21]) ).
fof(f314,plain,
! [X0] :
( ~ sum(additive_identity,b,X0)
| less_or_equal(X0,additive_identity) ),
inference(resolution,[],[f120,f32]) ).
fof(f32,axiom,
sum(a,b,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_6) ).
fof(f120,plain,
! [X2,X0,X1] :
( ~ sum(a,X2,X1)
| less_or_equal(X0,X1)
| ~ sum(additive_identity,X2,X0) ),
inference(resolution,[],[f24,f29]) ).
fof(f29,axiom,
less_or_equal(additive_identity,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_or_equal_3) ).
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
% 0.00/0.10 % Problem : FLD069-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.10/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.32 % Computer : n032.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Fri May 3 19:47:22 EDT 2024
% 0.16/0.32 % CPUTime :
% 0.16/0.32 % (30295)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.33 % (30300)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.16/0.33 % (30301)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.16/0.34 % (30299)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.16/0.34 % (30298)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)
% 0.16/0.34 % (30302)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)
% 0.16/0.34 % (30296)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.16/0.34 % (30297)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.16/0.34 TRYING [1]
% 0.16/0.34 TRYING [1]
% 0.16/0.34 TRYING [2]
% 0.16/0.34 TRYING [2]
% 0.16/0.34 TRYING [1]
% 0.16/0.34 TRYING [1]
% 0.16/0.34 TRYING [2]
% 0.16/0.34 TRYING [2]
% 0.16/0.34 TRYING [3]
% 0.16/0.34 TRYING [3]
% 0.16/0.34 TRYING [3]
% 0.16/0.34 TRYING [3]
% 0.16/0.35 TRYING [4]
% 0.16/0.35 TRYING [4]
% 0.16/0.35 TRYING [4]
% 0.16/0.35 TRYING [4]
% 0.16/0.36 % (30301)First to succeed.
% 0.16/0.36 % (30301)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-30295"
% 0.16/0.36 % (30301)Refutation found. Thanks to Tanya!
% 0.16/0.36 % SZS status Unsatisfiable for theBenchmark
% 0.16/0.36 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.36 % (30301)------------------------------
% 0.16/0.36 % (30301)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.16/0.36 % (30301)Termination reason: Refutation
% 0.16/0.36
% 0.16/0.36 % (30301)Memory used [KB]: 1134
% 0.16/0.36 % (30301)Time elapsed: 0.025 s
% 0.16/0.36 % (30301)Instructions burned: 46 (million)
% 0.16/0.36 % (30295)Success in time 0.04 s
%------------------------------------------------------------------------------