TSTP Solution File: GRP146-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP146-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% 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 : n028.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 15:39:17 EDT 2023
% Result : Unsatisfiable 0.20s 0.43s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 37
% Syntax : Number of formulae : 65 ( 37 unt; 0 def)
% Number of atoms : 100 ( 44 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 53 ( 18 ~; 16 |; 0 &)
% ( 19 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 20 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 71 (; 71 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f175,plain,
$false,
inference(avatar_sat_refutation,[],[f23,f28,f33,f37,f41,f45,f49,f53,f57,f61,f65,f81,f86,f90,f94,f140,f144,f148,f152,f174]) ).
fof(f174,plain,
( ~ spl0_2
| spl0_1
| ~ spl0_3
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f136,f92,f30,f20,f25]) ).
fof(f25,plain,
( spl0_2
<=> c = least_upper_bound(a,c) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f20,plain,
( spl0_1
<=> c = least_upper_bound(least_upper_bound(a,b),c) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f30,plain,
( spl0_3
<=> c = least_upper_bound(b,c) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f92,plain,
( spl0_15
<=> ! [X2,X0,X1] : least_upper_bound(X0,least_upper_bound(X1,X2)) = least_upper_bound(least_upper_bound(X0,X1),X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f136,plain,
( c != least_upper_bound(a,c)
| spl0_1
| ~ spl0_3
| ~ spl0_15 ),
inference(forward_demodulation,[],[f128,f32]) ).
fof(f32,plain,
( c = least_upper_bound(b,c)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f30]) ).
fof(f128,plain,
( c != least_upper_bound(a,least_upper_bound(b,c))
| spl0_1
| ~ spl0_15 ),
inference(superposition,[],[f22,f93]) ).
fof(f93,plain,
( ! [X2,X0,X1] : least_upper_bound(X0,least_upper_bound(X1,X2)) = least_upper_bound(least_upper_bound(X0,X1),X2)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f92]) ).
fof(f22,plain,
( c != least_upper_bound(least_upper_bound(a,b),c)
| spl0_1 ),
inference(avatar_component_clause,[],[f20]) ).
fof(f152,plain,
spl0_19,
inference(avatar_split_clause,[],[f15,f150]) ).
fof(f150,plain,
( spl0_19
<=> ! [X2,X0,X1] : multiply(greatest_lower_bound(X1,X2),X0) = greatest_lower_bound(multiply(X1,X0),multiply(X2,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f15,axiom,
! [X2,X0,X1] : multiply(greatest_lower_bound(X1,X2),X0) = greatest_lower_bound(multiply(X1,X0),multiply(X2,X0)),
file('/export/starexec/sandbox/tmp/tmp.blqO063OPT/Vampire---4.8_19188',monotony_glb2) ).
fof(f148,plain,
spl0_18,
inference(avatar_split_clause,[],[f14,f146]) ).
fof(f146,plain,
( spl0_18
<=> ! [X2,X0,X1] : multiply(least_upper_bound(X1,X2),X0) = least_upper_bound(multiply(X1,X0),multiply(X2,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f14,axiom,
! [X2,X0,X1] : multiply(least_upper_bound(X1,X2),X0) = least_upper_bound(multiply(X1,X0),multiply(X2,X0)),
file('/export/starexec/sandbox/tmp/tmp.blqO063OPT/Vampire---4.8_19188',monotony_lub2) ).
fof(f144,plain,
spl0_17,
inference(avatar_split_clause,[],[f13,f142]) ).
fof(f142,plain,
( spl0_17
<=> ! [X2,X0,X1] : multiply(X0,greatest_lower_bound(X1,X2)) = greatest_lower_bound(multiply(X0,X1),multiply(X0,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f13,axiom,
! [X2,X0,X1] : multiply(X0,greatest_lower_bound(X1,X2)) = greatest_lower_bound(multiply(X0,X1),multiply(X0,X2)),
file('/export/starexec/sandbox/tmp/tmp.blqO063OPT/Vampire---4.8_19188',monotony_glb1) ).
fof(f140,plain,
spl0_16,
inference(avatar_split_clause,[],[f12,f138]) ).
fof(f138,plain,
( spl0_16
<=> ! [X2,X0,X1] : multiply(X0,least_upper_bound(X1,X2)) = least_upper_bound(multiply(X0,X1),multiply(X0,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f12,axiom,
! [X2,X0,X1] : multiply(X0,least_upper_bound(X1,X2)) = least_upper_bound(multiply(X0,X1),multiply(X0,X2)),
file('/export/starexec/sandbox/tmp/tmp.blqO063OPT/Vampire---4.8_19188',monotony_lub1) ).
fof(f94,plain,
spl0_15,
inference(avatar_split_clause,[],[f7,f92]) ).
fof(f7,axiom,
! [X2,X0,X1] : least_upper_bound(X0,least_upper_bound(X1,X2)) = least_upper_bound(least_upper_bound(X0,X1),X2),
file('/export/starexec/sandbox/tmp/tmp.blqO063OPT/Vampire---4.8_19188',associativity_of_lub) ).
fof(f90,plain,
spl0_14,
inference(avatar_split_clause,[],[f6,f88]) ).
fof(f88,plain,
( spl0_14
<=> ! [X2,X0,X1] : greatest_lower_bound(X0,greatest_lower_bound(X1,X2)) = greatest_lower_bound(greatest_lower_bound(X0,X1),X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f6,axiom,
! [X2,X0,X1] : greatest_lower_bound(X0,greatest_lower_bound(X1,X2)) = greatest_lower_bound(greatest_lower_bound(X0,X1),X2),
file('/export/starexec/sandbox/tmp/tmp.blqO063OPT/Vampire---4.8_19188',associativity_of_glb) ).
fof(f86,plain,
( ~ spl0_13
| spl0_1
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f66,f55,f20,f83]) ).
fof(f83,plain,
( spl0_13
<=> c = least_upper_bound(c,least_upper_bound(a,b)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f55,plain,
( spl0_9
<=> ! [X0,X1] : least_upper_bound(X0,X1) = least_upper_bound(X1,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f66,plain,
( c != least_upper_bound(c,least_upper_bound(a,b))
| spl0_1
| ~ spl0_9 ),
inference(superposition,[],[f22,f56]) ).
fof(f56,plain,
( ! [X0,X1] : least_upper_bound(X0,X1) = least_upper_bound(X1,X0)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f55]) ).
fof(f81,plain,
spl0_12,
inference(avatar_split_clause,[],[f3,f79]) ).
fof(f79,plain,
( spl0_12
<=> ! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/tmp/tmp.blqO063OPT/Vampire---4.8_19188',associativity) ).
fof(f65,plain,
spl0_11,
inference(avatar_split_clause,[],[f11,f63]) ).
fof(f63,plain,
( spl0_11
<=> ! [X0,X1] : greatest_lower_bound(X0,least_upper_bound(X0,X1)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f11,axiom,
! [X0,X1] : greatest_lower_bound(X0,least_upper_bound(X0,X1)) = X0,
file('/export/starexec/sandbox/tmp/tmp.blqO063OPT/Vampire---4.8_19188',glb_absorbtion) ).
fof(f61,plain,
spl0_10,
inference(avatar_split_clause,[],[f10,f59]) ).
fof(f59,plain,
( spl0_10
<=> ! [X0,X1] : least_upper_bound(X0,greatest_lower_bound(X0,X1)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f10,axiom,
! [X0,X1] : least_upper_bound(X0,greatest_lower_bound(X0,X1)) = X0,
file('/export/starexec/sandbox/tmp/tmp.blqO063OPT/Vampire---4.8_19188',lub_absorbtion) ).
fof(f57,plain,
spl0_9,
inference(avatar_split_clause,[],[f5,f55]) ).
fof(f5,axiom,
! [X0,X1] : least_upper_bound(X0,X1) = least_upper_bound(X1,X0),
file('/export/starexec/sandbox/tmp/tmp.blqO063OPT/Vampire---4.8_19188',symmetry_of_lub) ).
fof(f53,plain,
spl0_8,
inference(avatar_split_clause,[],[f4,f51]) ).
fof(f51,plain,
( spl0_8
<=> ! [X0,X1] : greatest_lower_bound(X0,X1) = greatest_lower_bound(X1,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f4,axiom,
! [X0,X1] : greatest_lower_bound(X0,X1) = greatest_lower_bound(X1,X0),
file('/export/starexec/sandbox/tmp/tmp.blqO063OPT/Vampire---4.8_19188',symmetry_of_glb) ).
fof(f49,plain,
spl0_7,
inference(avatar_split_clause,[],[f2,f47]) ).
fof(f47,plain,
( spl0_7
<=> ! [X0] : identity = multiply(inverse(X0),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/tmp/tmp.blqO063OPT/Vampire---4.8_19188',left_inverse) ).
fof(f45,plain,
spl0_6,
inference(avatar_split_clause,[],[f9,f43]) ).
fof(f43,plain,
( spl0_6
<=> ! [X0] : greatest_lower_bound(X0,X0) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f9,axiom,
! [X0] : greatest_lower_bound(X0,X0) = X0,
file('/export/starexec/sandbox/tmp/tmp.blqO063OPT/Vampire---4.8_19188',idempotence_of_gld) ).
fof(f41,plain,
spl0_5,
inference(avatar_split_clause,[],[f8,f39]) ).
fof(f39,plain,
( spl0_5
<=> ! [X0] : least_upper_bound(X0,X0) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f8,axiom,
! [X0] : least_upper_bound(X0,X0) = X0,
file('/export/starexec/sandbox/tmp/tmp.blqO063OPT/Vampire---4.8_19188',idempotence_of_lub) ).
fof(f37,plain,
spl0_4,
inference(avatar_split_clause,[],[f1,f35]) ).
fof(f35,plain,
( spl0_4
<=> ! [X0] : multiply(identity,X0) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/tmp/tmp.blqO063OPT/Vampire---4.8_19188',left_identity) ).
fof(f33,plain,
spl0_3,
inference(avatar_split_clause,[],[f17,f30]) ).
fof(f17,axiom,
c = least_upper_bound(b,c),
file('/export/starexec/sandbox/tmp/tmp.blqO063OPT/Vampire---4.8_19188',ax_lub1a_2) ).
fof(f28,plain,
spl0_2,
inference(avatar_split_clause,[],[f16,f25]) ).
fof(f16,axiom,
c = least_upper_bound(a,c),
file('/export/starexec/sandbox/tmp/tmp.blqO063OPT/Vampire---4.8_19188',ax_lub1a_1) ).
fof(f23,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f18,f20]) ).
fof(f18,axiom,
c != least_upper_bound(least_upper_bound(a,b),c),
file('/export/starexec/sandbox/tmp/tmp.blqO063OPT/Vampire---4.8_19188',prove_ax_lub1a) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP146-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.07/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36 % Computer : n028.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 : Wed Aug 30 17:41:27 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.20/0.42 % (19504)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42 % (19531)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.20/0.42 % (19532)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.20/0.42 % (19533)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on Vampire---4 for (569ds/0Mi)
% 0.20/0.42 % (19534)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.20/0.42 % (19535)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on Vampire---4 for (531ds/0Mi)
% 0.20/0.42 % (19536)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on Vampire---4 for (522ds/0Mi)
% 0.20/0.42 % (19537)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on Vampire---4 for (497ds/0Mi)
% 0.20/0.42 TRYING [1]
% 0.20/0.42 TRYING [2]
% 0.20/0.43 TRYING [3]
% 0.20/0.43 TRYING [1]
% 0.20/0.43 % (19535)First to succeed.
% 0.20/0.43 TRYING [2]
% 0.20/0.43 TRYING [1]
% 0.20/0.43 TRYING [2]
% 0.20/0.43 % (19535)Refutation found. Thanks to Tanya!
% 0.20/0.43 % SZS status Unsatisfiable for Vampire---4
% 0.20/0.43 % SZS output start Proof for Vampire---4
% See solution above
% 0.20/0.43 % (19535)------------------------------
% 0.20/0.43 % (19535)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.20/0.43 % (19535)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.20/0.43 % (19535)Termination reason: Refutation
% 0.20/0.43
% 0.20/0.43 % (19535)Memory used [KB]: 5500
% 0.20/0.43 % (19535)Time elapsed: 0.008 s
% 0.20/0.43 % (19535)------------------------------
% 0.20/0.43 % (19535)------------------------------
% 0.20/0.43 % (19504)Success in time 0.067 s
% 0.20/0.43 % Vampire---4.8 exiting
%------------------------------------------------------------------------------