TSTP Solution File: FLD021-3 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : FLD021-3 : 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 : n024.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 11:06:18 EDT 2024
% Result : Unsatisfiable 0.21s 0.40s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 17 ( 8 unt; 0 def)
% Number of atoms : 32 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 37 ( 22 ~; 14 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-4 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 33 ( 33 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1221,plain,
$false,
inference(resolution,[],[f1210,f27]) ).
fof(f27,axiom,
defined(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_is_defined) ).
fof(f1210,plain,
~ defined(a),
inference(resolution,[],[f1169,f3]) ).
fof(f3,axiom,
! [X0] :
( sum(additive_identity,X0,X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_identity_addition) ).
fof(f1169,plain,
! [X0] : ~ sum(additive_identity,X0,a),
inference(resolution,[],[f1161,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(f1161,plain,
! [X0] : ~ sum(X0,additive_identity,a),
inference(duplicate_literal_removal,[],[f1155]) ).
fof(f1155,plain,
! [X0] :
( ~ sum(X0,additive_identity,a)
| ~ sum(X0,additive_identity,a) ),
inference(resolution,[],[f170,f49]) ).
fof(f49,plain,
~ sum(a,m,a),
inference(resolution,[],[f5,f30]) ).
fof(f30,axiom,
~ sum(m,a,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_sum_4) ).
fof(f170,plain,
! [X2,X0,X1] :
( sum(X1,m,X2)
| ~ sum(X0,additive_identity,X1)
| ~ sum(X0,additive_identity,X2) ),
inference(resolution,[],[f154,f39]) ).
fof(f39,plain,
! [X2,X0,X1,X4,X5] :
( sP4(X5,X4,X0,X1)
| sum(X4,X5,X2)
| ~ sum(X0,X1,X2) ),
inference(cnf_transformation,[],[f39_D]) ).
fof(f39_D,plain,
! [X1,X0,X4,X5] :
( ! [X2] :
( sum(X4,X5,X2)
| ~ sum(X0,X1,X2) )
<=> ~ sP4(X5,X4,X0,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP4])]) ).
fof(f154,plain,
! [X0,X1] :
( ~ sP4(m,X1,X0,additive_identity)
| ~ sum(X0,additive_identity,X1) ),
inference(resolution,[],[f40,f29]) ).
fof(f29,axiom,
sum(additive_identity,m,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_3) ).
fof(f40,plain,
! [X3,X0,X1,X4,X5] :
( ~ sum(X3,X5,X1)
| ~ sum(X0,X3,X4)
| ~ sP4(X5,X4,X0,X1) ),
inference(general_splitting,[],[f2,f39_D]) ).
fof(f2,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X0,X1,X2)
| ~ sum(X3,X5,X1)
| ~ sum(X0,X3,X4)
| sum(X4,X5,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_addition_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : FLD021-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.06/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n024.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 03:18:06 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % (11839)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37 % (11842)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 % (11844)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.37 % (11840)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.37 % (11846)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 % (11843)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 % (11841)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.37 % (11845)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 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 [1]
% 0.15/0.37 TRYING [1]
% 0.15/0.37 TRYING [2]
% 0.15/0.37 TRYING [2]
% 0.15/0.38 TRYING [3]
% 0.15/0.38 TRYING [3]
% 0.15/0.38 TRYING [3]
% 0.15/0.38 TRYING [3]
% 0.15/0.39 TRYING [4]
% 0.15/0.39 TRYING [4]
% 0.15/0.39 TRYING [4]
% 0.15/0.39 TRYING [4]
% 0.21/0.40 % (11842)First to succeed.
% 0.21/0.40 % (11842)Refutation found. Thanks to Tanya!
% 0.21/0.40 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.40 % (11842)------------------------------
% 0.21/0.40 % (11842)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.40 % (11842)Termination reason: Refutation
% 0.21/0.40
% 0.21/0.40 % (11842)Memory used [KB]: 1307
% 0.21/0.40 % (11842)Time elapsed: 0.033 s
% 0.21/0.40 % (11842)Instructions burned: 55 (million)
% 0.21/0.40 % (11842)------------------------------
% 0.21/0.40 % (11842)------------------------------
% 0.21/0.40 % (11839)Success in time 0.049 s
%------------------------------------------------------------------------------