TSTP Solution File: FLD013-3 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : FLD013-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n003.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 : Fri Sep 1 14:28:00 EDT 2023
% Result : Unsatisfiable 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 18
% Syntax : Number of formulae : 50 ( 12 unt; 0 def)
% Number of atoms : 107 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 113 ( 56 ~; 51 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 5 prp; 0-4 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 62 (; 62 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3598,plain,
$false,
inference(avatar_sat_refutation,[],[f225,f227,f3207,f3522,f3597]) ).
fof(f3597,plain,
~ spl9_14,
inference(avatar_contradiction_clause,[],[f3596]) ).
fof(f3596,plain,
( $false
| ~ spl9_14 ),
inference(resolution,[],[f3548,f14]) ).
fof(f14,axiom,
defined(additive_identity),
file('/export/starexec/sandbox2/tmp/tmp.a7YlJGXXIm/Vampire---4.8_11864',well_definedness_of_additive_identity) ).
fof(f3548,plain,
( ~ defined(additive_identity)
| ~ spl9_14 ),
inference(resolution,[],[f3533,f3]) ).
fof(f3,axiom,
! [X0] :
( sum(additive_identity,X0,X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.a7YlJGXXIm/Vampire---4.8_11864',existence_of_identity_addition) ).
fof(f3533,plain,
( ~ sum(additive_identity,additive_identity,additive_identity)
| ~ spl9_14 ),
inference(resolution,[],[f482,f349]) ).
fof(f349,plain,
! [X2,X3] :
( ~ sP3(X2,X3,c,d)
| ~ sum(additive_identity,X3,X2) ),
inference(resolution,[],[f151,f32]) ).
fof(f32,axiom,
sum(additive_identity,c,d),
file('/export/starexec/sandbox2/tmp/tmp.a7YlJGXXIm/Vampire---4.8_11864',sum_6) ).
fof(f151,plain,
! [X21,X18,X19,X17,X20] :
( ~ sum(X17,X18,X19)
| ~ sP3(X20,X21,X18,X19)
| ~ sum(X17,X21,X20) ),
inference(resolution,[],[f41,f5]) ).
fof(f5,axiom,
! [X3,X0,X5] :
( sum(X3,X0,X5)
| ~ sum(X0,X3,X5) ),
file('/export/starexec/sandbox2/tmp/tmp.a7YlJGXXIm/Vampire---4.8_11864',commutativity_addition) ).
fof(f41,plain,
! [X3,X0,X1,X4,X5] :
( ~ sum(X3,X5,X1)
| ~ sum(X0,X3,X4)
| ~ sP3(X4,X0,X5,X1) ),
inference(general_splitting,[],[f1,f40_D]) ).
fof(f40,plain,
! [X2,X0,X1,X4,X5] :
( sP3(X4,X0,X5,X1)
| sum(X0,X1,X2)
| ~ sum(X4,X5,X2) ),
inference(cnf_transformation,[],[f40_D]) ).
fof(f40_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(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/tmp/tmp.a7YlJGXXIm/Vampire---4.8_11864',associativity_addition_1) ).
fof(f482,plain,
( sP3(additive_identity,additive_identity,c,d)
| ~ spl9_14 ),
inference(avatar_component_clause,[],[f481]) ).
fof(f481,plain,
( spl9_14
<=> sP3(additive_identity,additive_identity,c,d) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_14])]) ).
fof(f3522,plain,
( spl9_14
| spl9_42 ),
inference(avatar_contradiction_clause,[],[f3521]) ).
fof(f3521,plain,
( $false
| spl9_14
| spl9_42 ),
inference(resolution,[],[f3472,f29]) ).
fof(f29,axiom,
defined(c),
file('/export/starexec/sandbox2/tmp/tmp.a7YlJGXXIm/Vampire---4.8_11864',c_is_defined) ).
fof(f3472,plain,
( ~ defined(c)
| spl9_14
| spl9_42 ),
inference(resolution,[],[f3458,f3]) ).
fof(f3458,plain,
( ~ sum(additive_identity,c,c)
| spl9_14
| spl9_42 ),
inference(resolution,[],[f3334,f486]) ).
fof(f486,plain,
( ! [X0] :
( sum(additive_identity,d,X0)
| ~ sum(additive_identity,c,X0) )
| spl9_14 ),
inference(resolution,[],[f483,f40]) ).
fof(f483,plain,
( ~ sP3(additive_identity,additive_identity,c,d)
| spl9_14 ),
inference(avatar_component_clause,[],[f481]) ).
fof(f3334,plain,
( ~ sum(additive_identity,d,c)
| spl9_42 ),
inference(resolution,[],[f3206,f5]) ).
fof(f3206,plain,
( ~ sum(d,additive_identity,c)
| spl9_42 ),
inference(avatar_component_clause,[],[f3204]) ).
fof(f3204,plain,
( spl9_42
<=> sum(d,additive_identity,c) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_42])]) ).
fof(f3207,plain,
( ~ spl9_7
| ~ spl9_8
| ~ spl9_42 ),
inference(avatar_split_clause,[],[f3190,f3204,f219,f215]) ).
fof(f215,plain,
( spl9_7
<=> defined(b) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_7])]) ).
fof(f219,plain,
( spl9_8
<=> defined(d) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_8])]) ).
fof(f3190,plain,
( ~ sum(d,additive_identity,c)
| ~ defined(d)
| ~ defined(b) ),
inference(resolution,[],[f1164,f19]) ).
fof(f19,axiom,
! [X3,X0] :
( sum(X0,X3,add(X0,X3))
| ~ defined(X0)
| ~ defined(X3) ),
file('/export/starexec/sandbox2/tmp/tmp.a7YlJGXXIm/Vampire---4.8_11864',totality_of_addition) ).
fof(f1164,plain,
! [X148] :
( ~ sum(X148,b,add(d,b))
| ~ sum(X148,additive_identity,c) ),
inference(resolution,[],[f177,f53]) ).
fof(f53,plain,
~ sum(c,a,add(d,b)),
inference(resolution,[],[f5,f33]) ).
fof(f33,axiom,
~ sum(a,c,add(d,b)),
file('/export/starexec/sandbox2/tmp/tmp.a7YlJGXXIm/Vampire---4.8_11864',not_sum_7) ).
fof(f177,plain,
! [X2,X0,X1] :
( sum(X1,a,X2)
| ~ sum(X0,additive_identity,X1)
| ~ sum(X0,b,X2) ),
inference(resolution,[],[f158,f42]) ).
fof(f42,plain,
! [X2,X0,X1,X4,X5] :
( sP4(X5,X4,X0,X1)
| sum(X4,X5,X2)
| ~ sum(X0,X1,X2) ),
inference(cnf_transformation,[],[f42_D]) ).
fof(f42_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(f158,plain,
! [X0,X1] :
( ~ sP4(a,X1,X0,b)
| ~ sum(X0,additive_identity,X1) ),
inference(resolution,[],[f43,f31]) ).
fof(f31,axiom,
sum(additive_identity,a,b),
file('/export/starexec/sandbox2/tmp/tmp.a7YlJGXXIm/Vampire---4.8_11864',sum_5) ).
fof(f43,plain,
! [X3,X0,X1,X4,X5] :
( ~ sum(X3,X5,X1)
| ~ sum(X0,X3,X4)
| ~ sP4(X5,X4,X0,X1) ),
inference(general_splitting,[],[f2,f42_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/tmp/tmp.a7YlJGXXIm/Vampire---4.8_11864',associativity_addition_2) ).
fof(f227,plain,
spl9_8,
inference(avatar_contradiction_clause,[],[f226]) ).
fof(f226,plain,
( $false
| spl9_8 ),
inference(resolution,[],[f221,f30]) ).
fof(f30,axiom,
defined(d),
file('/export/starexec/sandbox2/tmp/tmp.a7YlJGXXIm/Vampire---4.8_11864',d_is_defined) ).
fof(f221,plain,
( ~ defined(d)
| spl9_8 ),
inference(avatar_component_clause,[],[f219]) ).
fof(f225,plain,
spl9_7,
inference(avatar_contradiction_clause,[],[f224]) ).
fof(f224,plain,
( $false
| spl9_7 ),
inference(resolution,[],[f217,f28]) ).
fof(f28,axiom,
defined(b),
file('/export/starexec/sandbox2/tmp/tmp.a7YlJGXXIm/Vampire---4.8_11864',b_is_defined) ).
fof(f217,plain,
( ~ defined(b)
| spl9_7 ),
inference(avatar_component_clause,[],[f215]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.14 % Problem : FLD013-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.13/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.13/0.36 % Computer : n003.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Wed Aug 30 16:56:11 EDT 2023
% 0.13/0.36 % CPUTime :
% 0.19/0.43 % (11978)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.43 % (11983)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on Vampire---4 for (396ds/0Mi)
% 0.19/0.43 % (11982)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on Vampire---4 for (470ds/0Mi)
% 0.19/0.43 % (11980)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on Vampire---4 for (569ds/0Mi)
% 0.19/0.43 % (11984)dis+11_4:5_nm=4_216 on Vampire---4 for (216ds/0Mi)
% 0.19/0.43 % (11986)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on Vampire---4 for (1451ds/0Mi)
% 0.19/0.43 % (11981)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 Vampire---4 for (476ds/0Mi)
% 0.19/0.43 % (11979)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on Vampire---4 for (1451ds/0Mi)
% 0.19/0.43 TRYING [1]
% 0.19/0.43 TRYING [1]
% 0.19/0.43 TRYING [1]
% 0.19/0.43 TRYING [2]
% 0.19/0.43 TRYING [2]
% 0.19/0.43 TRYING [2]
% 0.19/0.43 TRYING [1]
% 0.19/0.43 TRYING [3]
% 0.19/0.43 TRYING [2]
% 0.19/0.43 TRYING [3]
% 0.19/0.43 TRYING [3]
% 0.19/0.44 TRYING [3]
% 0.19/0.44 TRYING [4]
% 0.19/0.44 TRYING [4]
% 0.19/0.45 TRYING [4]
% 0.19/0.45 TRYING [4]
% 0.19/0.46 TRYING [5]
% 0.19/0.47 TRYING [5]
% 0.19/0.47 TRYING [5]
% 0.19/0.48 TRYING [5]
% 0.19/0.50 % (11981)First to succeed.
% 0.19/0.51 % (11981)Refutation found. Thanks to Tanya!
% 0.19/0.51 % SZS status Unsatisfiable for Vampire---4
% 0.19/0.51 % SZS output start Proof for Vampire---4
% See solution above
% 0.19/0.51 % (11981)------------------------------
% 0.19/0.51 % (11981)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.19/0.51 % (11981)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.19/0.51 % (11981)Termination reason: Refutation
% 0.19/0.51
% 0.19/0.51 % (11981)Memory used [KB]: 7547
% 0.19/0.51 % (11981)Time elapsed: 0.075 s
% 0.19/0.51 % (11981)------------------------------
% 0.19/0.51 % (11981)------------------------------
% 0.19/0.51 % (11978)Success in time 0.14 s
% 0.19/0.51 % Vampire---4.8 exiting
%------------------------------------------------------------------------------