TSTP Solution File: SEU371+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SEU371+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -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 : Sun May 5 09:37:05 EDT 2024
% Result : Theorem 0.14s 0.37s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 13
% Syntax : Number of formulae : 52 ( 22 unt; 0 def)
% Number of atoms : 177 ( 42 equ)
% Maximal formula atoms : 17 ( 3 avg)
% Number of connectives : 179 ( 54 ~; 49 |; 72 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 5 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 23 ( 21 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 2 con; 0-2 aty)
% Number of variables : 57 ( 55 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3302,plain,
$false,
inference(trivial_inequality_removal,[],[f3295]) ).
fof(f3295,plain,
empty_set != empty_set,
inference(superposition,[],[f337,f3285]) ).
fof(f3285,plain,
! [X0] : empty_set = bottom_of_relstr(boole_POSet(X0)),
inference(superposition,[],[f3276,f784]) ).
fof(f784,plain,
! [X0] : bottom_of_relstr(boole_POSet(X0)) = join_on_relstr(boole_POSet(X0),empty_set),
inference(resolution,[],[f418,f404]) ).
fof(f404,plain,
! [X0] : rel_str(boole_POSet(X0)),
inference(cnf_transformation,[],[f36]) ).
fof(f36,axiom,
! [X0] :
( rel_str(boole_POSet(X0))
& strict_rel_str(boole_POSet(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k3_yellow_1) ).
fof(f418,plain,
! [X0] :
( ~ rel_str(X0)
| bottom_of_relstr(X0) = join_on_relstr(X0,empty_set) ),
inference(cnf_transformation,[],[f136]) ).
fof(f136,plain,
! [X0] :
( bottom_of_relstr(X0) = join_on_relstr(X0,empty_set)
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,axiom,
! [X0] :
( rel_str(X0)
=> bottom_of_relstr(X0) = join_on_relstr(X0,empty_set) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d11_yellow_0) ).
fof(f3276,plain,
! [X0] : empty_set = join_on_relstr(boole_POSet(X0),empty_set),
inference(superposition,[],[f3275,f2024]) ).
fof(f2024,plain,
! [X0,X1] : join_of_latt_set(boole_lattice(X0),X1) = join_on_relstr(boole_POSet(X0),X1),
inference(forward_demodulation,[],[f2023,f340]) ).
fof(f340,plain,
! [X0] : boole_POSet(X0) = poset_of_lattice(boole_lattice(X0)),
inference(cnf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0] : boole_POSet(X0) = poset_of_lattice(boole_lattice(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_yellow_1) ).
fof(f2023,plain,
! [X0,X1] : join_of_latt_set(boole_lattice(X0),X1) = join_on_relstr(poset_of_lattice(boole_lattice(X0)),X1),
inference(subsumption_resolution,[],[f2022,f357]) ).
fof(f357,plain,
! [X0] : ~ empty_carrier(boole_lattice(X0)),
inference(cnf_transformation,[],[f60]) ).
fof(f60,axiom,
! [X0] :
( strict_latt_str(boole_lattice(X0))
& ~ empty_carrier(boole_lattice(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_lattice3) ).
fof(f2022,plain,
! [X0,X1] :
( join_of_latt_set(boole_lattice(X0),X1) = join_on_relstr(poset_of_lattice(boole_lattice(X0)),X1)
| empty_carrier(boole_lattice(X0)) ),
inference(subsumption_resolution,[],[f2021,f367]) ).
fof(f367,plain,
! [X0] : lattice(boole_lattice(X0)),
inference(cnf_transformation,[],[f66]) ).
fof(f66,axiom,
! [X0] :
( lattice(boole_lattice(X0))
& join_absorbing(boole_lattice(X0))
& meet_absorbing(boole_lattice(X0))
& meet_associative(boole_lattice(X0))
& meet_commutative(boole_lattice(X0))
& join_associative(boole_lattice(X0))
& join_commutative(boole_lattice(X0))
& strict_latt_str(boole_lattice(X0))
& ~ empty_carrier(boole_lattice(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc2_lattice3) ).
fof(f2021,plain,
! [X0,X1] :
( join_of_latt_set(boole_lattice(X0),X1) = join_on_relstr(poset_of_lattice(boole_lattice(X0)),X1)
| ~ lattice(boole_lattice(X0))
| empty_carrier(boole_lattice(X0)) ),
inference(subsumption_resolution,[],[f2020,f402]) ).
fof(f402,plain,
! [X0] : latt_str(boole_lattice(X0)),
inference(cnf_transformation,[],[f27]) ).
fof(f27,axiom,
! [X0] :
( latt_str(boole_lattice(X0))
& strict_latt_str(boole_lattice(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_lattice3) ).
fof(f2020,plain,
! [X0,X1] :
( ~ latt_str(boole_lattice(X0))
| join_of_latt_set(boole_lattice(X0),X1) = join_on_relstr(poset_of_lattice(boole_lattice(X0)),X1)
| ~ lattice(boole_lattice(X0))
| empty_carrier(boole_lattice(X0)) ),
inference(resolution,[],[f502,f398]) ).
fof(f398,plain,
! [X0] : complete_latt_str(boole_lattice(X0)),
inference(cnf_transformation,[],[f119]) ).
fof(f119,plain,
! [X0] :
( complete_latt_str(boole_lattice(X0))
& boolean_lattstr(boole_lattice(X0))
& complemented_lattstr(boole_lattice(X0))
& bounded_lattstr(boole_lattice(X0))
& upper_bounded_semilattstr(boole_lattice(X0))
& lower_bounded_semilattstr(boole_lattice(X0))
& distributive_lattstr(boole_lattice(X0))
& lattice(boole_lattice(X0))
& join_absorbing(boole_lattice(X0))
& meet_absorbing(boole_lattice(X0))
& meet_associative(boole_lattice(X0))
& meet_commutative(boole_lattice(X0))
& join_associative(boole_lattice(X0))
& join_commutative(boole_lattice(X0))
& strict_latt_str(boole_lattice(X0))
& ~ empty_carrier(boole_lattice(X0)) ),
inference(pure_predicate_removal,[],[f59]) ).
fof(f59,axiom,
! [X0] :
( complete_latt_str(boole_lattice(X0))
& boolean_lattstr(boole_lattice(X0))
& complemented_lattstr(boole_lattice(X0))
& bounded_lattstr(boole_lattice(X0))
& upper_bounded_semilattstr(boole_lattice(X0))
& lower_bounded_semilattstr(boole_lattice(X0))
& modular_lattstr(boole_lattice(X0))
& distributive_lattstr(boole_lattice(X0))
& lattice(boole_lattice(X0))
& join_absorbing(boole_lattice(X0))
& meet_absorbing(boole_lattice(X0))
& meet_associative(boole_lattice(X0))
& meet_commutative(boole_lattice(X0))
& join_associative(boole_lattice(X0))
& join_commutative(boole_lattice(X0))
& strict_latt_str(boole_lattice(X0))
& ~ empty_carrier(boole_lattice(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_knaster) ).
fof(f502,plain,
! [X0,X1] :
( ~ complete_latt_str(X0)
| ~ latt_str(X0)
| join_of_latt_set(X0,X1) = join_on_relstr(poset_of_lattice(X0),X1)
| ~ lattice(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f184]) ).
fof(f184,plain,
! [X0] :
( ! [X1] :
( meet_of_latt_set(X0,X1) = meet_on_relstr(poset_of_lattice(X0),X1)
& join_of_latt_set(X0,X1) = join_on_relstr(poset_of_lattice(X0),X1) )
| ~ latt_str(X0)
| ~ complete_latt_str(X0)
| ~ lattice(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f183]) ).
fof(f183,plain,
! [X0] :
( ! [X1] :
( meet_of_latt_set(X0,X1) = meet_on_relstr(poset_of_lattice(X0),X1)
& join_of_latt_set(X0,X1) = join_on_relstr(poset_of_lattice(X0),X1) )
| ~ latt_str(X0)
| ~ complete_latt_str(X0)
| ~ lattice(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f106]) ).
fof(f106,axiom,
! [X0] :
( ( latt_str(X0)
& complete_latt_str(X0)
& lattice(X0)
& ~ empty_carrier(X0) )
=> ! [X1] :
( meet_of_latt_set(X0,X1) = meet_on_relstr(poset_of_lattice(X0),X1)
& join_of_latt_set(X0,X1) = join_on_relstr(poset_of_lattice(X0),X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t29_yellow_0) ).
fof(f3275,plain,
! [X0] : empty_set = join_of_latt_set(boole_lattice(X0),empty_set),
inference(forward_demodulation,[],[f3274,f400]) ).
fof(f400,plain,
! [X0] : empty_set = bottom_of_semilattstr(boole_lattice(X0)),
inference(cnf_transformation,[],[f109]) ).
fof(f109,axiom,
! [X0] :
( empty_set = bottom_of_semilattstr(boole_lattice(X0))
& lower_bounded_semilattstr(boole_lattice(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_lattice3) ).
fof(f3274,plain,
! [X0] : bottom_of_semilattstr(boole_lattice(X0)) = join_of_latt_set(boole_lattice(X0),empty_set),
inference(subsumption_resolution,[],[f3273,f357]) ).
fof(f3273,plain,
! [X0] :
( empty_carrier(boole_lattice(X0))
| bottom_of_semilattstr(boole_lattice(X0)) = join_of_latt_set(boole_lattice(X0),empty_set) ),
inference(subsumption_resolution,[],[f3272,f367]) ).
fof(f3272,plain,
! [X0] :
( ~ lattice(boole_lattice(X0))
| empty_carrier(boole_lattice(X0))
| bottom_of_semilattstr(boole_lattice(X0)) = join_of_latt_set(boole_lattice(X0),empty_set) ),
inference(subsumption_resolution,[],[f3271,f402]) ).
fof(f3271,plain,
! [X0] :
( ~ latt_str(boole_lattice(X0))
| ~ lattice(boole_lattice(X0))
| empty_carrier(boole_lattice(X0))
| bottom_of_semilattstr(boole_lattice(X0)) = join_of_latt_set(boole_lattice(X0),empty_set) ),
inference(resolution,[],[f942,f398]) ).
fof(f942,plain,
! [X0] :
( ~ complete_latt_str(X0)
| ~ latt_str(X0)
| ~ lattice(X0)
| empty_carrier(X0)
| bottom_of_semilattstr(X0) = join_of_latt_set(X0,empty_set) ),
inference(resolution,[],[f489,f488]) ).
fof(f488,plain,
! [X0] :
( ~ sP4(X0)
| bottom_of_semilattstr(X0) = join_of_latt_set(X0,empty_set) ),
inference(cnf_transformation,[],[f271]) ).
fof(f271,plain,
! [X0] :
( ( bottom_of_semilattstr(X0) = join_of_latt_set(X0,empty_set)
& latt_str(X0)
& lower_bounded_semilattstr(X0)
& lattice(X0)
& ~ empty_carrier(X0) )
| ~ sP4(X0) ),
inference(nnf_transformation,[],[f245]) ).
fof(f245,plain,
! [X0] :
( ( bottom_of_semilattstr(X0) = join_of_latt_set(X0,empty_set)
& latt_str(X0)
& lower_bounded_semilattstr(X0)
& lattice(X0)
& ~ empty_carrier(X0) )
| ~ sP4(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f489,plain,
! [X0] :
( sP4(X0)
| ~ latt_str(X0)
| ~ complete_latt_str(X0)
| ~ lattice(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f246]) ).
fof(f246,plain,
! [X0] :
( sP4(X0)
| ~ latt_str(X0)
| ~ complete_latt_str(X0)
| ~ lattice(X0)
| empty_carrier(X0) ),
inference(definition_folding,[],[f180,f245]) ).
fof(f180,plain,
! [X0] :
( ( bottom_of_semilattstr(X0) = join_of_latt_set(X0,empty_set)
& latt_str(X0)
& lower_bounded_semilattstr(X0)
& lattice(X0)
& ~ empty_carrier(X0) )
| ~ latt_str(X0)
| ~ complete_latt_str(X0)
| ~ lattice(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f179]) ).
fof(f179,plain,
! [X0] :
( ( bottom_of_semilattstr(X0) = join_of_latt_set(X0,empty_set)
& latt_str(X0)
& lower_bounded_semilattstr(X0)
& lattice(X0)
& ~ empty_carrier(X0) )
| ~ latt_str(X0)
| ~ complete_latt_str(X0)
| ~ lattice(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f112]) ).
fof(f112,axiom,
! [X0] :
( ( latt_str(X0)
& complete_latt_str(X0)
& lattice(X0)
& ~ empty_carrier(X0) )
=> ( bottom_of_semilattstr(X0) = join_of_latt_set(X0,empty_set)
& latt_str(X0)
& lower_bounded_semilattstr(X0)
& lattice(X0)
& ~ empty_carrier(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t50_lattice3) ).
fof(f337,plain,
empty_set != bottom_of_relstr(boole_POSet(sK12)),
inference(cnf_transformation,[],[f262]) ).
fof(f262,plain,
empty_set != bottom_of_relstr(boole_POSet(sK12)),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f127,f261]) ).
fof(f261,plain,
( ? [X0] : empty_set != bottom_of_relstr(boole_POSet(X0))
=> empty_set != bottom_of_relstr(boole_POSet(sK12)) ),
introduced(choice_axiom,[]) ).
fof(f127,plain,
? [X0] : empty_set != bottom_of_relstr(boole_POSet(X0)),
inference(ennf_transformation,[],[f104]) ).
fof(f104,negated_conjecture,
~ ! [X0] : empty_set = bottom_of_relstr(boole_POSet(X0)),
inference(negated_conjecture,[],[f103]) ).
fof(f103,conjecture,
! [X0] : empty_set = bottom_of_relstr(boole_POSet(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t18_yellow_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : SEU371+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.09 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.28 % Computer : n003.cluster.edu
% 0.10/0.28 % Model : x86_64 x86_64
% 0.10/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.28 % Memory : 8042.1875MB
% 0.10/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.28 % CPULimit : 300
% 0.10/0.28 % WCLimit : 300
% 0.10/0.28 % DateTime : Fri May 3 11:12:35 EDT 2024
% 0.14/0.28 % CPUTime :
% 0.14/0.28 % (26933)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.29 % (26937)WARNING: value z3 for option sas not known
% 0.14/0.29 % (26940)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)
% 0.14/0.30 % (26939)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)
% 0.14/0.30 % (26937)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)
% 0.14/0.30 % (26938)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.30 % (26935)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.30 % (26941)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)
% 0.14/0.30 % (26936)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.30 TRYING [1]
% 0.14/0.30 TRYING [2]
% 0.14/0.31 TRYING [3]
% 0.14/0.33 TRYING [4]
% 0.14/0.33 TRYING [1]
% 0.14/0.33 TRYING [2]
% 0.14/0.35 TRYING [1]
% 0.14/0.35 TRYING [2]
% 0.14/0.35 TRYING [3]
% 0.14/0.36 TRYING [3]
% 0.14/0.37 % (26937)First to succeed.
% 0.14/0.37 % (26937)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-26933"
% 0.14/0.37 % (26937)Refutation found. Thanks to Tanya!
% 0.14/0.37 % SZS status Theorem for theBenchmark
% 0.14/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.37 % (26937)------------------------------
% 0.14/0.37 % (26937)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.37 % (26937)Termination reason: Refutation
% 0.14/0.37
% 0.14/0.37 % (26937)Memory used [KB]: 2637
% 0.14/0.37 % (26937)Time elapsed: 0.075 s
% 0.14/0.37 % (26937)Instructions burned: 234 (million)
% 0.14/0.37 % (26933)Success in time 0.078 s
%------------------------------------------------------------------------------