TSTP Solution File: FLD016-5 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : FLD016-5 : TPTP v8.2.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n021.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 : Mon May 20 19:56:20 EDT 2024
% Result : Unsatisfiable 102.06s 14.95s
% Output : Refutation 102.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 19
% Syntax : Number of formulae : 55 ( 10 unt; 0 def)
% Number of atoms : 120 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 131 ( 66 ~; 58 |; 0 &)
% ( 7 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 6 prp; 0-4 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-1 aty)
% Number of variables : 72 ( 72 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f262306,plain,
$false,
inference(avatar_sat_refutation,[],[f659,f1699,f54246,f110422,f260434,f262305]) ).
fof(f262305,plain,
spl9_292,
inference(avatar_contradiction_clause,[],[f262304]) ).
fof(f262304,plain,
( $false
| spl9_292 ),
inference(resolution,[],[f262258,f29]) ).
fof(f29,axiom,
defined(v),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v_is_defined) ).
fof(f262258,plain,
( ~ defined(v)
| spl9_292 ),
inference(resolution,[],[f260433,f3]) ).
fof(f3,axiom,
! [X0] :
( sum(additive_identity,X0,X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_identity_addition) ).
fof(f260433,plain,
( ~ sum(additive_identity,v,v)
| spl9_292 ),
inference(avatar_component_clause,[],[f260431]) ).
fof(f260431,plain,
( spl9_292
<=> sum(additive_identity,v,v) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_292])]) ).
fof(f260434,plain,
( ~ spl9_16
| ~ spl9_292
| spl9_218 ),
inference(avatar_split_clause,[],[f260396,f110419,f260431,f646]) ).
fof(f646,plain,
( spl9_16
<=> defined(a) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_16])]) ).
fof(f110419,plain,
( spl9_218
<=> sum(r,additive_inverse(a),v) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_218])]) ).
fof(f260396,plain,
( ~ sum(additive_identity,v,v)
| ~ defined(a)
| spl9_218 ),
inference(resolution,[],[f110705,f4]) ).
fof(f4,axiom,
! [X0] :
( sum(additive_inverse(X0),X0,additive_identity)
| ~ defined(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_inverse_addition) ).
fof(f110705,plain,
( ! [X0] :
( ~ sum(additive_inverse(a),a,X0)
| ~ sum(X0,v,v) )
| spl9_218 ),
inference(resolution,[],[f110429,f213]) ).
fof(f213,plain,
! [X2,X0,X1] :
( sum(X0,r,X2)
| ~ sum(X0,a,X1)
| ~ sum(X1,v,X2) ),
inference(resolution,[],[f161,f42]) ).
fof(f42,plain,
! [X2,X0,X1,X4,X5] :
( sP3(X4,X0,X5,X1)
| sum(X0,X1,X2)
| ~ sum(X4,X5,X2) ),
inference(cnf_transformation,[],[f42_D]) ).
fof(f42_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(f161,plain,
! [X0,X1] :
( ~ sP3(X1,X0,v,r)
| ~ sum(X0,a,X1) ),
inference(resolution,[],[f43,f33]) ).
fof(f33,axiom,
sum(a,v,r),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_7) ).
fof(f43,plain,
! [X3,X0,X1,X4,X5] :
( ~ sum(X3,X5,X1)
| ~ sum(X0,X3,X4)
| ~ sP3(X4,X0,X5,X1) ),
inference(general_splitting,[],[f1,f42_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/sandbox2/benchmark/theBenchmark.p',associativity_addition_1) ).
fof(f110429,plain,
( ~ sum(additive_inverse(a),r,v)
| spl9_218 ),
inference(resolution,[],[f110421,f5]) ).
fof(f5,axiom,
! [X3,X0,X5] :
( sum(X3,X0,X5)
| ~ sum(X0,X3,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_addition) ).
fof(f110421,plain,
( ~ sum(r,additive_inverse(a),v)
| spl9_218 ),
inference(avatar_component_clause,[],[f110419]) ).
fof(f110422,plain,
( ~ spl9_140
| ~ spl9_218
| spl9_29 ),
inference(avatar_split_clause,[],[f110092,f1696,f110419,f54234]) ).
fof(f54234,plain,
( spl9_140
<=> defined(additive_inverse(a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_140])]) ).
fof(f1696,plain,
( spl9_29
<=> sum(q,additive_inverse(a),v) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_29])]) ).
fof(f110092,plain,
( ~ sum(r,additive_inverse(a),v)
| ~ defined(additive_inverse(a))
| spl9_29 ),
inference(resolution,[],[f60720,f3]) ).
fof(f60720,plain,
( ! [X0] :
( ~ sum(additive_identity,X0,additive_inverse(a))
| ~ sum(r,X0,v) )
| spl9_29 ),
inference(resolution,[],[f561,f1698]) ).
fof(f1698,plain,
( ~ sum(q,additive_inverse(a),v)
| spl9_29 ),
inference(avatar_component_clause,[],[f1696]) ).
fof(f561,plain,
! [X2,X0,X1] :
( sum(q,X1,X2)
| ~ sum(additive_identity,X0,X1)
| ~ sum(r,X0,X2) ),
inference(resolution,[],[f474,f42]) ).
fof(f474,plain,
! [X0,X1] :
( ~ sP3(r,q,X0,X1)
| ~ sum(additive_identity,X0,X1) ),
inference(resolution,[],[f162,f34]) ).
fof(f34,axiom,
sum(additive_identity,q,r),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_8) ).
fof(f162,plain,
! [X2,X3,X0,X1,X4] :
( ~ sum(X0,X1,X2)
| ~ sP3(X3,X4,X1,X2)
| ~ sum(X0,X4,X3) ),
inference(resolution,[],[f43,f5]) ).
fof(f54246,plain,
spl9_140,
inference(avatar_contradiction_clause,[],[f54245]) ).
fof(f54245,plain,
( $false
| spl9_140 ),
inference(resolution,[],[f54243,f27]) ).
fof(f27,axiom,
defined(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_defined) ).
fof(f54243,plain,
( ~ defined(a)
| spl9_140 ),
inference(resolution,[],[f54236,f15]) ).
fof(f15,axiom,
! [X0] :
( defined(additive_inverse(X0))
| ~ defined(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',well_definedness_of_additive_inverse) ).
fof(f54236,plain,
( ~ defined(additive_inverse(a))
| spl9_140 ),
inference(avatar_component_clause,[],[f54234]) ).
fof(f1699,plain,
( ~ spl9_16
| ~ spl9_29 ),
inference(avatar_split_clause,[],[f1682,f1696,f646]) ).
fof(f1682,plain,
( ~ sum(q,additive_inverse(a),v)
| ~ defined(a) ),
inference(resolution,[],[f1635,f4]) ).
fof(f1635,plain,
! [X0] :
( ~ sum(X0,a,additive_identity)
| ~ sum(q,X0,v) ),
inference(resolution,[],[f1625,f5]) ).
fof(f1625,plain,
! [X0] :
( ~ sum(X0,q,v)
| ~ sum(X0,a,additive_identity) ),
inference(resolution,[],[f223,f35]) ).
fof(f35,axiom,
~ sum(additive_identity,u,v),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_sum_9) ).
fof(f223,plain,
! [X2,X0,X1] :
( sum(X1,u,X2)
| ~ sum(X0,a,X1)
| ~ sum(X0,q,X2) ),
inference(resolution,[],[f185,f44]) ).
fof(f44,plain,
! [X2,X0,X1,X4,X5] :
( sP4(X5,X4,X0,X1)
| sum(X4,X5,X2)
| ~ sum(X0,X1,X2) ),
inference(cnf_transformation,[],[f44_D]) ).
fof(f44_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(f185,plain,
! [X0,X1] :
( ~ sP4(u,X1,X0,q)
| ~ sum(X0,a,X1) ),
inference(resolution,[],[f45,f32]) ).
fof(f32,axiom,
sum(a,u,q),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_6) ).
fof(f45,plain,
! [X3,X0,X1,X4,X5] :
( ~ sum(X3,X5,X1)
| ~ sum(X0,X3,X4)
| ~ sP4(X5,X4,X0,X1) ),
inference(general_splitting,[],[f2,f44_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/sandbox2/benchmark/theBenchmark.p',associativity_addition_2) ).
fof(f659,plain,
spl9_16,
inference(avatar_contradiction_clause,[],[f658]) ).
fof(f658,plain,
( $false
| spl9_16 ),
inference(resolution,[],[f648,f27]) ).
fof(f648,plain,
( ~ defined(a)
| spl9_16 ),
inference(avatar_component_clause,[],[f646]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : FLD016-5 : TPTP v8.2.0. Bugfixed v2.1.0.
% 0.11/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n021.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sat May 18 21:28:08 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % (23162)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37 % (23169)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)
% 0.13/0.37 % (23167)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.13/0.37 % (23163)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.13/0.37 TRYING [1]
% 0.13/0.37 % (23168)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.13/0.37 TRYING [2]
% 0.13/0.37 TRYING [1]
% 0.13/0.37 TRYING [2]
% 0.13/0.37 TRYING [3]
% 0.13/0.37 % (23165)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)
% 0.13/0.38 TRYING [3]
% 0.13/0.38 % (23164)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.38 TRYING [1]
% 0.13/0.38 % (23166)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.13/0.38 TRYING [2]
% 0.13/0.38 TRYING [1]
% 0.13/0.38 TRYING [2]
% 0.13/0.38 TRYING [3]
% 0.13/0.38 TRYING [3]
% 0.13/0.39 TRYING [4]
% 0.13/0.39 TRYING [4]
% 0.13/0.40 TRYING [4]
% 0.13/0.40 TRYING [4]
% 0.21/0.42 TRYING [5]
% 0.21/0.42 TRYING [5]
% 0.21/0.44 TRYING [5]
% 0.21/0.44 TRYING [5]
% 0.21/0.48 TRYING [6]
% 0.21/0.49 TRYING [6]
% 0.21/0.50 TRYING [6]
% 0.21/0.54 TRYING [6]
% 1.82/0.62 TRYING [7]
% 2.07/0.66 TRYING [7]
% 2.07/0.68 TRYING [7]
% 2.63/0.73 TRYING [7]
% 4.72/1.07 TRYING [8]
% 5.98/1.21 TRYING [8]
% 6.26/1.25 TRYING [8]
% 7.17/1.37 TRYING [8]
% 15.15/2.52 TRYING [9]
% 15.15/2.57 TRYING [9]
% 19.30/3.09 TRYING [9]
% 20.06/3.24 TRYING [9]
% 44.64/6.71 TRYING [10]
% 51.22/7.65 TRYING [10]
% 51.79/7.72 TRYING [10]
% 58.52/8.77 TRYING [10]
% 102.06/14.93 % (23165)First to succeed.
% 102.06/14.93 % (23165)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-23162"
% 102.06/14.95 % (23165)Refutation found. Thanks to Tanya!
% 102.06/14.95 % SZS status Unsatisfiable for theBenchmark
% 102.06/14.95 % SZS output start Proof for theBenchmark
% See solution above
% 102.06/14.95 % (23165)------------------------------
% 102.06/14.95 % (23165)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 102.06/14.95 % (23165)Termination reason: Refutation
% 102.06/14.95
% 102.06/14.95 % (23165)Memory used [KB]: 104727
% 102.06/14.95 % (23165)Time elapsed: 14.560 s
% 102.06/14.95 % (23165)Instructions burned: 64563 (million)
% 102.06/14.95 % (23162)Success in time 14.528 s
%------------------------------------------------------------------------------