TSTP Solution File: LAT035-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LAT035-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -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 : Sun May 5 07:25:42 EDT 2024
% Result : Unsatisfiable 0.15s 0.34s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 36
% Syntax : Number of formulae : 69 ( 33 unt; 0 def)
% Number of atoms : 115 ( 48 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 74 ( 28 ~; 27 |; 0 &)
% ( 19 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 4 ( 2 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 : 49 ( 49 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f181,plain,
$false,
inference(avatar_sat_refutation,[],[f25,f30,f35,f44,f46,f51,f55,f59,f63,f67,f71,f75,f79,f83,f87,f119,f123,f127,f165,f180]) ).
fof(f180,plain,
( spl0_4
| ~ spl0_16
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f179]) ).
fof(f179,plain,
( $false
| spl0_4
| ~ spl0_16
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f178]) ).
fof(f178,plain,
( f(k(join(aa,bb))) != f(k(join(aa,bb)))
| spl0_4
| ~ spl0_16
| ~ spl0_18 ),
inference(forward_demodulation,[],[f171,f118]) ).
fof(f118,plain,
( ! [X3,X4] : k(join(X3,X4)) = meet(k(X3),k(X4))
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f117]) ).
fof(f117,plain,
( spl0_16
<=> ! [X4,X3] : k(join(X3,X4)) = meet(k(X3),k(X4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f171,plain,
( f(k(join(aa,bb))) != f(meet(k(aa),k(bb)))
| spl0_4
| ~ spl0_18 ),
inference(superposition,[],[f39,f126]) ).
fof(f126,plain,
( ! [X3,X4] : f(meet(X3,X4)) = join(f(X3),f(X4))
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f125]) ).
fof(f125,plain,
( spl0_18
<=> ! [X4,X3] : f(meet(X3,X4)) = join(f(X3),f(X4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f39,plain,
( f(k(join(aa,bb))) != join(f(k(aa)),f(k(bb)))
| spl0_4 ),
inference(avatar_component_clause,[],[f37]) ).
fof(f37,plain,
( spl0_4
<=> f(k(join(aa,bb))) = join(f(k(aa)),f(k(bb))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f165,plain,
( spl0_19
| ~ spl0_8
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f96,f81,f57,f163]) ).
fof(f163,plain,
( spl0_19
<=> ! [X0] : n0 = meet(n0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f57,plain,
( spl0_8
<=> ! [X0] : n0 = meet(X0,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f81,plain,
( spl0_14
<=> ! [X0,X1] : meet(X0,X1) = meet(X1,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f96,plain,
( ! [X0] : n0 = meet(n0,X0)
| ~ spl0_8
| ~ spl0_14 ),
inference(superposition,[],[f82,f58]) ).
fof(f58,plain,
( ! [X0] : n0 = meet(X0,n0)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f57]) ).
fof(f82,plain,
( ! [X0,X1] : meet(X0,X1) = meet(X1,X0)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f81]) ).
fof(f127,plain,
spl0_18,
inference(avatar_split_clause,[],[f18,f125]) ).
fof(f18,axiom,
! [X3,X4] : f(meet(X3,X4)) = join(f(X3),f(X4)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f_on_meet) ).
fof(f123,plain,
spl0_17,
inference(avatar_split_clause,[],[f15,f121]) ).
fof(f121,plain,
( spl0_17
<=> ! [X4,X3] : k(meet(X3,X4)) = join(k(X3),k(X4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f15,axiom,
! [X3,X4] : k(meet(X3,X4)) = join(k(X3),k(X4)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',k_on_meet) ).
fof(f119,plain,
spl0_16,
inference(avatar_split_clause,[],[f14,f117]) ).
fof(f14,axiom,
! [X3,X4] : k(join(X3,X4)) = meet(k(X3),k(X4)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',k_on_join) ).
fof(f87,plain,
spl0_15,
inference(avatar_split_clause,[],[f6,f85]) ).
fof(f85,plain,
( spl0_15
<=> ! [X0,X1] : join(X0,X1) = join(X1,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f6,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_join) ).
fof(f83,plain,
spl0_14,
inference(avatar_split_clause,[],[f5,f81]) ).
fof(f5,axiom,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_meet) ).
fof(f79,plain,
spl0_13,
inference(avatar_split_clause,[],[f4,f77]) ).
fof(f77,plain,
( spl0_13
<=> ! [X0,X1] : join(X0,meet(X0,X1)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f4,axiom,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',absorption2) ).
fof(f75,plain,
spl0_12,
inference(avatar_split_clause,[],[f3,f73]) ).
fof(f73,plain,
( spl0_12
<=> ! [X0,X1] : meet(X0,join(X0,X1)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f3,axiom,
! [X0,X1] : meet(X0,join(X0,X1)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',absorption1) ).
fof(f71,plain,
spl0_11,
inference(avatar_split_clause,[],[f12,f69]) ).
fof(f69,plain,
( spl0_11
<=> ! [X0] : n1 = join(X0,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f12,axiom,
! [X0] : n1 = join(X0,n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',x_join_1) ).
fof(f67,plain,
spl0_10,
inference(avatar_split_clause,[],[f11,f65]) ).
fof(f65,plain,
( spl0_10
<=> ! [X0] : meet(X0,n1) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f11,axiom,
! [X0] : meet(X0,n1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',x_meet_1) ).
fof(f63,plain,
spl0_9,
inference(avatar_split_clause,[],[f10,f61]) ).
fof(f61,plain,
( spl0_9
<=> ! [X0] : join(X0,n0) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f10,axiom,
! [X0] : join(X0,n0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',x_join_0) ).
fof(f59,plain,
spl0_8,
inference(avatar_split_clause,[],[f9,f57]) ).
fof(f9,axiom,
! [X0] : n0 = meet(X0,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',x_meet_0) ).
fof(f55,plain,
spl0_7,
inference(avatar_split_clause,[],[f2,f53]) ).
fof(f53,plain,
( spl0_7
<=> ! [X0] : join(X0,X0) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f2,axiom,
! [X0] : join(X0,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',idempotence_of_join) ).
fof(f51,plain,
spl0_6,
inference(avatar_split_clause,[],[f1,f49]) ).
fof(f49,plain,
( spl0_6
<=> ! [X0] : meet(X0,X0) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f1,axiom,
! [X0] : meet(X0,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',idempotence_of_meet) ).
fof(f46,plain,
( ~ spl0_3
| ~ spl0_1
| spl0_5 ),
inference(avatar_split_clause,[],[f45,f41,f22,f32]) ).
fof(f32,plain,
( spl0_3
<=> n0 = f(n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f22,plain,
( spl0_1
<=> n1 = k(n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f41,plain,
( spl0_5
<=> n0 = f(k(n0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f45,plain,
( n0 != f(n1)
| ~ spl0_1
| spl0_5 ),
inference(forward_demodulation,[],[f43,f24]) ).
fof(f24,plain,
( n1 = k(n0)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f22]) ).
fof(f43,plain,
( n0 != f(k(n0))
| spl0_5 ),
inference(avatar_component_clause,[],[f41]) ).
fof(f44,plain,
( ~ spl0_4
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f20,f41,f37]) ).
fof(f20,axiom,
( n0 != f(k(n0))
| f(k(join(aa,bb))) != join(f(k(aa)),f(k(bb))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',comp_join_hemimorphism) ).
fof(f35,plain,
spl0_3,
inference(avatar_split_clause,[],[f19,f32]) ).
fof(f19,axiom,
n0 = f(n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f_on_top) ).
fof(f30,plain,
spl0_2,
inference(avatar_split_clause,[],[f17,f27]) ).
fof(f27,plain,
( spl0_2
<=> n0 = k(n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f17,axiom,
n0 = k(n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',k_on_top) ).
fof(f25,plain,
spl0_1,
inference(avatar_split_clause,[],[f16,f22]) ).
fof(f16,axiom,
n1 = k(n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',k_on_bottom) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : LAT035-1 : TPTP v8.1.2. Released v2.4.0.
% 0.10/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.31 % Computer : n028.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Fri May 3 12:42:48 EDT 2024
% 0.10/0.32 % CPUTime :
% 0.10/0.32 % (12906)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.33 % (12909)WARNING: value z3 for option sas not known
% 0.15/0.33 % (12909)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 theBenchmark for (569ds/0Mi)
% 0.15/0.33 % (12910)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.33 % (12912)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 theBenchmark for (522ds/0Mi)
% 0.15/0.33 % (12908)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.33 % (12911)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 theBenchmark for (531ds/0Mi)
% 0.15/0.33 % (12913)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 theBenchmark for (497ds/0Mi)
% 0.15/0.33 % (12907)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.33 TRYING [1]
% 0.15/0.33 TRYING [2]
% 0.15/0.34 TRYING [3]
% 0.15/0.34 % (12911)First to succeed.
% 0.15/0.34 % (12911)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-12906"
% 0.15/0.34 TRYING [1]
% 0.15/0.34 % (12911)Refutation found. Thanks to Tanya!
% 0.15/0.34 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.34 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.34 % (12911)------------------------------
% 0.15/0.34 % (12911)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.34 % (12911)Termination reason: Refutation
% 0.15/0.34
% 0.15/0.34 % (12911)Memory used [KB]: 867
% 0.15/0.34 % (12911)Time elapsed: 0.006 s
% 0.15/0.34 % (12911)Instructions burned: 9 (million)
% 0.15/0.34 % (12906)Success in time 0.021 s
%------------------------------------------------------------------------------