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 : n013.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 : Theorem 0.15s 0.40s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 32
% Syntax : Number of formulae : 82 ( 46 unt; 0 def)
% Number of atoms : 136 ( 78 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 84 ( 30 ~; 22 |; 12 &)
% ( 17 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 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 : 96 ( 87 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f193,plain,
$false,
inference(avatar_sat_refutation,[],[f41,f46,f51,f55,f59,f63,f67,f73,f79,f84,f88,f100,f104,f109,f137,f141,f169,f192]) ).
fof(f192,plain,
( ~ spl3_1
| ~ spl3_2
| spl3_3
| ~ spl3_13 ),
inference(avatar_split_clause,[],[f133,f102,f48,f43,f38]) ).
fof(f38,plain,
( spl3_1
<=> sK1 = join(sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f43,plain,
( spl3_2
<=> sK1 = join(sK2,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f48,plain,
( spl3_3
<=> sK1 = join(join(sK0,sK2),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).
fof(f102,plain,
( spl3_13
<=> ! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_13])]) ).
fof(f133,plain,
( sK1 != join(sK0,sK1)
| ~ spl3_2
| spl3_3
| ~ spl3_13 ),
inference(forward_demodulation,[],[f130,f45]) ).
fof(f45,plain,
( sK1 = join(sK2,sK1)
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f43]) ).
fof(f130,plain,
( sK1 != join(sK0,join(sK2,sK1))
| spl3_3
| ~ spl3_13 ),
inference(superposition,[],[f50,f103]) ).
fof(f103,plain,
( ! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2)
| ~ spl3_13 ),
inference(avatar_component_clause,[],[f102]) ).
fof(f50,plain,
( sK1 != join(join(sK0,sK2),sK1)
| spl3_3 ),
inference(avatar_component_clause,[],[f48]) ).
fof(f169,plain,
spl3_17,
inference(avatar_split_clause,[],[f32,f167]) ).
fof(f167,plain,
( spl3_17
<=> ! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_17])]) ).
fof(f32,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(cnf_transformation,[],[f3]) ).
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) ).
fof(f141,plain,
spl3_16,
inference(avatar_split_clause,[],[f35,f139]) ).
fof(f139,plain,
( spl3_16
<=> ! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_16])]) ).
fof(f35,plain,
! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_distributivity) ).
fof(f137,plain,
spl3_15,
inference(avatar_split_clause,[],[f31,f135]) ).
fof(f135,plain,
( spl3_15
<=> ! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_15])]) ).
fof(f31,plain,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
inference(cnf_transformation,[],[f11]) ).
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) ).
fof(f109,plain,
( ~ spl3_14
| spl3_3
| ~ spl3_7 ),
inference(avatar_split_clause,[],[f68,f65,f48,f106]) ).
fof(f106,plain,
( spl3_14
<=> sK1 = join(sK1,join(sK0,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_14])]) ).
fof(f65,plain,
( spl3_7
<=> ! [X0,X1] : join(X0,X1) = join(X1,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_7])]) ).
fof(f68,plain,
( sK1 != join(sK1,join(sK0,sK2))
| spl3_3
| ~ spl3_7 ),
inference(superposition,[],[f50,f66]) ).
fof(f66,plain,
( ! [X0,X1] : join(X0,X1) = join(X1,X0)
| ~ spl3_7 ),
inference(avatar_component_clause,[],[f65]) ).
fof(f104,plain,
spl3_13,
inference(avatar_split_clause,[],[f34,f102]) ).
fof(f34,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux2_join_associativity) ).
fof(f100,plain,
spl3_12,
inference(avatar_split_clause,[],[f33,f98]) ).
fof(f98,plain,
( spl3_12
<=> ! [X2,X0,X1] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_12])]) ).
fof(f33,plain,
! [X2,X0,X1] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1,X2] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_associativity) ).
fof(f88,plain,
spl3_11,
inference(avatar_split_clause,[],[f29,f86]) ).
fof(f86,plain,
( spl3_11
<=> ! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_11])]) ).
fof(f29,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(cnf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_additivity) ).
fof(f84,plain,
spl3_10,
inference(avatar_split_clause,[],[f28,f82]) ).
fof(f82,plain,
( spl3_10
<=> ! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_10])]) ).
fof(f28,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(cnf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_multiplicativity) ).
fof(f79,plain,
( spl3_9
| ~ spl3_6
| ~ spl3_8 ),
inference(avatar_split_clause,[],[f74,f71,f61,f76]) ).
fof(f76,plain,
( spl3_9
<=> zero = complement(top) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_9])]) ).
fof(f61,plain,
( spl3_6
<=> ! [X0] : top = join(X0,complement(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_6])]) ).
fof(f71,plain,
( spl3_8
<=> ! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_8])]) ).
fof(f74,plain,
( zero = complement(top)
| ~ spl3_6
| ~ spl3_8 ),
inference(forward_demodulation,[],[f72,f62]) ).
fof(f62,plain,
( ! [X0] : top = join(X0,complement(X0))
| ~ spl3_6 ),
inference(avatar_component_clause,[],[f61]) ).
fof(f72,plain,
( ! [X0] : zero = complement(join(complement(X0),complement(complement(X0))))
| ~ spl3_8 ),
inference(avatar_component_clause,[],[f71]) ).
fof(f73,plain,
spl3_8,
inference(avatar_split_clause,[],[f36,f71]) ).
fof(f36,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f25,f30]) ).
fof(f30,plain,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
inference(cnf_transformation,[],[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) ).
fof(f25,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(cnf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_zero) ).
fof(f67,plain,
spl3_7,
inference(avatar_split_clause,[],[f27,f65]) ).
fof(f27,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux1_join_commutativity) ).
fof(f63,plain,
spl3_6,
inference(avatar_split_clause,[],[f26,f61]) ).
fof(f26,plain,
! [X0] : top = join(X0,complement(X0)),
inference(cnf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_top) ).
fof(f59,plain,
spl3_5,
inference(avatar_split_clause,[],[f24,f57]) ).
fof(f57,plain,
( spl3_5
<=> ! [X0] : composition(X0,one) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).
fof(f24,plain,
! [X0] : composition(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_identity) ).
fof(f55,plain,
spl3_4,
inference(avatar_split_clause,[],[f23,f53]) ).
fof(f53,plain,
( spl3_4
<=> ! [X0] : converse(converse(X0)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).
fof(f23,plain,
! [X0] : converse(converse(X0)) = X0,
inference(cnf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_idempotence) ).
fof(f51,plain,
~ spl3_3,
inference(avatar_split_clause,[],[f22,f48]) ).
fof(f22,plain,
sK1 != join(join(sK0,sK2),sK1),
inference(cnf_transformation,[],[f19]) ).
fof(f19,plain,
( sK1 != join(join(sK0,sK2),sK1)
& sK1 = join(sK2,sK1)
& sK1 = join(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f17,f18]) ).
fof(f18,plain,
( ? [X0,X1,X2] :
( join(join(X0,X2),X1) != X1
& join(X2,X1) = X1
& join(X0,X1) = X1 )
=> ( sK1 != join(join(sK0,sK2),sK1)
& sK1 = join(sK2,sK1)
& sK1 = join(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f17,plain,
? [X0,X1,X2] :
( join(join(X0,X2),X1) != X1
& join(X2,X1) = X1
& join(X0,X1) = X1 ),
inference(flattening,[],[f16]) ).
fof(f16,plain,
? [X0,X1,X2] :
( join(join(X0,X2),X1) != X1
& join(X2,X1) = X1
& join(X0,X1) = X1 ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,negated_conjecture,
~ ! [X0,X1,X2] :
( ( join(X2,X1) = X1
& join(X0,X1) = X1 )
=> join(join(X0,X2),X1) = X1 ),
inference(negated_conjecture,[],[f14]) ).
fof(f14,conjecture,
! [X0,X1,X2] :
( ( join(X2,X1) = X1
& join(X0,X1) = X1 )
=> join(join(X0,X2),X1) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f46,plain,
spl3_2,
inference(avatar_split_clause,[],[f21,f43]) ).
fof(f21,plain,
sK1 = join(sK2,sK1),
inference(cnf_transformation,[],[f19]) ).
fof(f41,plain,
spl3_1,
inference(avatar_split_clause,[],[f20,f38]) ).
fof(f20,plain,
sK1 = join(sK0,sK1),
inference(cnf_transformation,[],[f19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : REL049+1 : TPTP v8.1.2. Released v4.0.0.
% 0.15/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n013.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 00:17:49 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.37 % (14386)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.39 % (14391)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)
% 0.15/0.39 % (14392)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 % (14389)WARNING: value z3 for option sas not known
% 0.15/0.39 % (14390)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.39 % (14389)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)
% 0.15/0.39 TRYING [1]
% 0.15/0.39 TRYING [2]
% 0.15/0.39 % (14388)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 % (14393)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)
% 0.15/0.39 % (14387)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.39 % (14391)First to succeed.
% 0.15/0.39 TRYING [3]
% 0.15/0.39 % (14392)Also succeeded, but the first one will report.
% 0.15/0.40 % (14391)Refutation found. Thanks to Tanya!
% 0.15/0.40 % SZS status Theorem for theBenchmark
% 0.15/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.40 % (14391)------------------------------
% 0.15/0.40 % (14391)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.40 % (14391)Termination reason: Refutation
% 0.15/0.40
% 0.15/0.40 % (14391)Memory used [KB]: 874
% 0.15/0.40 % (14391)Time elapsed: 0.010 s
% 0.15/0.40 % (14391)Instructions burned: 12 (million)
% 0.15/0.40 % (14391)------------------------------
% 0.15/0.40 % (14391)------------------------------
% 0.15/0.40 % (14386)Success in time 0.027 s
%------------------------------------------------------------------------------