TSTP Solution File: REL049-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : REL049-1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n019.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 14:48:18 EDT 2024
% Result : Unsatisfiable 0.15s 0.41s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 33
% Syntax : Number of formulae : 63 ( 33 unt; 0 def)
% Number of atoms : 102 ( 44 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 63 ( 24 ~; 22 |; 0 &)
% ( 17 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 19 ( 17 usr; 18 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-2 aty)
% Number of variables : 56 ( 56 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f174,plain,
$false,
inference(avatar_sat_refutation,[],[f22,f27,f32,f36,f40,f44,f48,f54,f60,f65,f69,f81,f85,f90,f118,f122,f150,f173]) ).
fof(f173,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_3
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f107,f79,f29,f24,f19]) ).
fof(f19,plain,
( spl0_1
<=> sk2 = join(sk1,sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f24,plain,
( spl0_2
<=> sk2 = join(sk3,sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f29,plain,
( spl0_3
<=> sk2 = join(join(sk1,sk3),sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f79,plain,
( spl0_12
<=> ! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f107,plain,
( sk2 != join(sk1,sk2)
| ~ spl0_2
| spl0_3
| ~ spl0_12 ),
inference(forward_demodulation,[],[f104,f26]) ).
fof(f26,plain,
( sk2 = join(sk3,sk2)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f24]) ).
fof(f104,plain,
( sk2 != join(sk1,join(sk3,sk2))
| spl0_3
| ~ spl0_12 ),
inference(superposition,[],[f31,f80]) ).
fof(f80,plain,
( ! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f79]) ).
fof(f31,plain,
( sk2 != join(join(sk1,sk3),sk2)
| spl0_3 ),
inference(avatar_component_clause,[],[f29]) ).
fof(f150,plain,
spl0_17,
inference(avatar_split_clause,[],[f3,f148]) ).
fof(f148,plain,
( spl0_17
<=> ! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f3,axiom,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux3_a_kind_of_de_Morgan_3) ).
fof(f122,plain,
spl0_16,
inference(avatar_split_clause,[],[f11,f120]) ).
fof(f120,plain,
( spl0_16
<=> ! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f11,axiom,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_cancellativity_11) ).
fof(f118,plain,
spl0_15,
inference(avatar_split_clause,[],[f7,f116]) ).
fof(f116,plain,
( spl0_15
<=> ! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f7,axiom,
! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_distributivity_7) ).
fof(f90,plain,
( ~ spl0_14
| spl0_3
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f49,f46,f29,f87]) ).
fof(f87,plain,
( spl0_14
<=> sk2 = join(sk2,join(sk1,sk3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f46,plain,
( spl0_7
<=> ! [X0,X1] : join(X0,X1) = join(X1,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f49,plain,
( sk2 != join(sk2,join(sk1,sk3))
| spl0_3
| ~ spl0_7 ),
inference(superposition,[],[f31,f47]) ).
fof(f47,plain,
( ! [X0,X1] : join(X0,X1) = join(X1,X0)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f46]) ).
fof(f85,plain,
spl0_13,
inference(avatar_split_clause,[],[f5,f83]) ).
fof(f83,plain,
( spl0_13
<=> ! [X2,X0,X1] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f5,axiom,
! [X2,X0,X1] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_associativity_5) ).
fof(f81,plain,
spl0_12,
inference(avatar_split_clause,[],[f2,f79]) ).
fof(f2,axiom,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux2_join_associativity_2) ).
fof(f69,plain,
spl0_11,
inference(avatar_split_clause,[],[f10,f67]) ).
fof(f67,plain,
( spl0_11
<=> ! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f10,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_multiplicativity_10) ).
fof(f65,plain,
spl0_10,
inference(avatar_split_clause,[],[f9,f63]) ).
fof(f63,plain,
( spl0_10
<=> ! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f9,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_additivity_9) ).
fof(f60,plain,
( spl0_9
| ~ spl0_6
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f55,f52,f42,f57]) ).
fof(f57,plain,
( spl0_9
<=> zero = complement(top) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f42,plain,
( spl0_6
<=> ! [X0] : top = join(X0,complement(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f52,plain,
( spl0_8
<=> ! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f55,plain,
( zero = complement(top)
| ~ spl0_6
| ~ spl0_8 ),
inference(forward_demodulation,[],[f53,f43]) ).
fof(f43,plain,
( ! [X0] : top = join(X0,complement(X0))
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f42]) ).
fof(f53,plain,
( ! [X0] : zero = complement(join(complement(X0),complement(complement(X0))))
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f52]) ).
fof(f54,plain,
spl0_8,
inference(avatar_split_clause,[],[f17,f52]) ).
fof(f17,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f13,f4]) ).
fof(f4,axiom,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux4_definiton_of_meet_4) ).
fof(f13,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_zero_13) ).
fof(f48,plain,
spl0_7,
inference(avatar_split_clause,[],[f1,f46]) ).
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux1_join_commutativity_1) ).
fof(f44,plain,
spl0_6,
inference(avatar_split_clause,[],[f12,f42]) ).
fof(f12,axiom,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_top_12) ).
fof(f40,plain,
spl0_5,
inference(avatar_split_clause,[],[f8,f38]) ).
fof(f38,plain,
( spl0_5
<=> ! [X0] : converse(converse(X0)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f8,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_idempotence_8) ).
fof(f36,plain,
spl0_4,
inference(avatar_split_clause,[],[f6,f34]) ).
fof(f34,plain,
( spl0_4
<=> ! [X0] : composition(X0,one) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f6,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_identity_6) ).
fof(f32,plain,
~ spl0_3,
inference(avatar_split_clause,[],[f16,f29]) ).
fof(f16,axiom,
sk2 != join(join(sk1,sk3),sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_16) ).
fof(f27,plain,
spl0_2,
inference(avatar_split_clause,[],[f15,f24]) ).
fof(f15,axiom,
sk2 = join(sk3,sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_15) ).
fof(f22,plain,
spl0_1,
inference(avatar_split_clause,[],[f14,f19]) ).
fof(f14,axiom,
sk2 = join(sk1,sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_14) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : REL049-1 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n019.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 : Tue Apr 30 00:18:44 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.37 % (13287)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (13288)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.39 TRYING [1]
% 0.15/0.39 TRYING [2]
% 0.15/0.39 % (13290)WARNING: value z3 for option sas not known
% 0.15/0.39 % (13289)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.39 % (13291)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.39 % (13293)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)
% 0.15/0.39 % (13290)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)
% 0.15/0.40 % (13292)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)
% 0.15/0.40 % (13294)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)
% 0.15/0.40 TRYING [1]
% 0.15/0.40 TRYING [2]
% 0.15/0.40 TRYING [3]
% 0.15/0.41 % (13292)First to succeed.
% 0.15/0.41 TRYING [1]
% 0.15/0.41 TRYING [2]
% 0.15/0.41 TRYING [3]
% 0.15/0.41 % (13292)Refutation found. Thanks to Tanya!
% 0.15/0.41 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.41 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.41 % (13292)------------------------------
% 0.15/0.41 % (13292)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.41 % (13292)Termination reason: Refutation
% 0.15/0.41
% 0.15/0.41 % (13292)Memory used [KB]: 872
% 0.15/0.41 % (13292)Time elapsed: 0.014 s
% 0.15/0.41 % (13292)Instructions burned: 11 (million)
% 0.15/0.41 % (13292)------------------------------
% 0.15/0.41 % (13292)------------------------------
% 0.15/0.41 % (13287)Success in time 0.042 s
%------------------------------------------------------------------------------