TSTP Solution File: FLD018-3 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : FLD018-3 : 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 : Tue Apr 30 11:06:17 EDT 2024
% Result : Unsatisfiable 0.22s 0.41s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of formulae : 20 ( 8 unt; 0 def)
% Number of atoms : 40 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 39 ( 19 ~; 20 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 21 ( 21 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f886,plain,
$false,
inference(subsumption_resolution,[],[f878,f226]) ).
fof(f226,plain,
sum(additive_identity,additive_identity,additive_identity),
inference(subsumption_resolution,[],[f224,f194]) ).
fof(f194,plain,
less_or_equal(additive_identity,additive_identity),
inference(duplicate_literal_removal,[],[f186]) ).
fof(f186,plain,
( less_or_equal(additive_identity,additive_identity)
| less_or_equal(additive_identity,additive_identity) ),
inference(resolution,[],[f55,f14]) ).
fof(f14,axiom,
defined(additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',well_definedness_of_additive_identity) ).
fof(f55,plain,
! [X0] :
( ~ defined(X0)
| less_or_equal(X0,additive_identity)
| less_or_equal(additive_identity,X0) ),
inference(resolution,[],[f23,f14]) ).
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(f224,plain,
( ~ less_or_equal(additive_identity,additive_identity)
| sum(additive_identity,additive_identity,additive_identity) ),
inference(resolution,[],[f194,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(f878,plain,
~ sum(additive_identity,additive_identity,additive_identity),
inference(resolution,[],[f314,f29]) ).
fof(f29,axiom,
~ sum(additive_identity,additive_inverse(a),additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_sum_3) ).
fof(f314,plain,
! [X0] :
( sum(additive_identity,additive_inverse(a),X0)
| ~ sum(additive_identity,additive_identity,X0) ),
inference(subsumption_resolution,[],[f310,f27]) ).
fof(f27,axiom,
defined(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_is_defined) ).
fof(f310,plain,
! [X0] :
( ~ sum(additive_identity,additive_identity,X0)
| sum(additive_identity,additive_inverse(a),X0)
| ~ defined(a) ),
inference(resolution,[],[f143,f32]) ).
fof(f32,plain,
! [X0] :
( sum(X0,additive_inverse(X0),additive_identity)
| ~ defined(X0) ),
inference(resolution,[],[f5,f4]) ).
fof(f4,axiom,
! [X0] :
( sum(additive_inverse(X0),X0,additive_identity)
| ~ defined(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_inverse_addition) ).
fof(f5,axiom,
! [X3,X0,X5] :
( ~ sum(X0,X3,X5)
| sum(X3,X0,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_addition) ).
fof(f143,plain,
! [X2,X0,X1] :
( ~ sum(a,X0,X1)
| ~ sum(additive_identity,X1,X2)
| sum(additive_identity,X0,X2) ),
inference(resolution,[],[f2,f28]) ).
fof(f28,axiom,
sum(additive_identity,a,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_2) ).
fof(f2,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X0,X3,X4)
| ~ sum(X3,X5,X1)
| ~ sum(X0,X1,X2)
| sum(X4,X5,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_addition_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : FLD018-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.07/0.15 % 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 : Tue Apr 30 03:43:35 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.37 % (4396)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (4402)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.38 % (4398)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.38 % (4397)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.38 % (4400)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.39 % (4399)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)
% 0.15/0.39 % (4401)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.39 % (4403)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)
% 0.15/0.39 TRYING [1]
% 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 [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]
% 0.22/0.40 TRYING [4]
% 0.22/0.40 TRYING [4]
% 0.22/0.40 TRYING [4]
% 0.22/0.40 TRYING [4]
% 0.22/0.41 % (4402)First to succeed.
% 0.22/0.41 % (4402)Refutation found. Thanks to Tanya!
% 0.22/0.41 % SZS status Unsatisfiable for theBenchmark
% 0.22/0.41 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.41 % (4402)------------------------------
% 0.22/0.41 % (4402)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.22/0.41 % (4402)Termination reason: Refutation
% 0.22/0.41
% 0.22/0.41 % (4402)Memory used [KB]: 1102
% 0.22/0.41 % (4402)Time elapsed: 0.026 s
% 0.22/0.41 % (4402)Instructions burned: 43 (million)
% 0.22/0.41 % (4402)------------------------------
% 0.22/0.41 % (4402)------------------------------
% 0.22/0.41 % (4396)Success in time 0.043 s
%------------------------------------------------------------------------------