%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU387+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:53:06 PM UTC 2026
% Result : Theorem 11.87s 2.19s
% Output : Refutation 11.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 9
% Syntax : Number of formulae : 69 ( 40 unt; 0 def)
% Number of atoms : 239 ( 11 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 276 ( 106 ~; 113 |; 47 &)
% ( 3 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 23 ( 21 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 4 con; 0-1 aty)
% Number of variables : 61 ( 55 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f159,axiom,
! [X0] : boole_POSet(X0) = poset_of_lattice(boole_lattice(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_yellow_1) ).
fof(f274,axiom,
! [X0] :
( strict_rel_str(boole_POSet(X0))
& rel_str(boole_POSet(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k3_yellow_1) ).
fof(f367,axiom,
! [X0] :
( ~ empty_carrier(boole_POSet(X0))
& strict_rel_str(boole_POSet(X0))
& reflexive_relstr(boole_POSet(X0))
& transitive_relstr(boole_POSet(X0))
& antisymmetric_relstr(boole_POSet(X0))
& with_suprema_relstr(boole_POSet(X0))
& with_infima_relstr(boole_POSet(X0))
& complete_relstr(boole_POSet(X0))
& lower_bounded_relstr(boole_POSet(X0))
& upper_bounded_relstr(boole_POSet(X0))
& bounded_relstr(boole_POSet(X0))
& up_complete_relstr(boole_POSet(X0))
& join_complete_relstr(boole_POSet(X0))
& distributive_relstr(boole_POSet(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_waybel_1) ).
fof(f544,axiom,
! [X0] : k1_pcomps_1(X0) = powerset(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k1_pcomps_1) ).
fof(f677,axiom,
! [X0] : bottom_of_relstr(boole_POSet(X0)) = empty_set,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t18_yellow_1) ).
fof(f731,conjecture,
! [X0] :
( ~ empty(X0)
=> ! [X1] :
( ( ~ empty(X1)
& filtered_subset(X1,boole_POSet(X0))
& upper_relstr_subset(X1,boole_POSet(X0))
& proper_element(X1,powerset(the_carrier(boole_POSet(X0))))
& element(X1,powerset(the_carrier(boole_POSet(X0)))) )
=> ! [X2] :
~ ( in(X2,X1)
& empty(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_yellow19) ).
fof(f732,negated_conjecture,
~ ! [X0] :
( ~ empty(X0)
=> ! [X1] :
( ( ~ empty(X1)
& filtered_subset(X1,boole_POSet(X0))
& upper_relstr_subset(X1,boole_POSet(X0))
& proper_element(X1,powerset(the_carrier(boole_POSet(X0))))
& element(X1,powerset(the_carrier(boole_POSet(X0)))) )
=> ! [X2] :
~ ( in(X2,X1)
& empty(X2) ) ) ),
inference(negated_conjecture,[status(cth)],[f731]) ).
fof(f827,axiom,
! [X0] :
( empty(X0)
=> X0 = empty_set ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_boole) ).
fof(f837,axiom,
! [X0,X1] :
~ ( in(X0,X1)
& empty(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_boole) ).
fof(f849,axiom,
! [X0] :
( ( ~ empty_carrier(X0)
& reflexive_relstr(X0)
& transitive_relstr(X0)
& antisymmetric_relstr(X0)
& lower_bounded_relstr(X0)
& rel_str(X0) )
=> ! [X1] :
( ( ~ empty(X1)
& filtered_subset(X1,X0)
& upper_relstr_subset(X1,X0)
& element(X1,powerset(the_carrier(X0))) )
=> ( proper_element(X1,powerset(the_carrier(X0)))
<=> ~ in(bottom_of_relstr(X0),X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_waybel_7) ).
fof(f1824,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( in(X2,X1)
& empty(X2) )
& ~ empty(X1)
& filtered_subset(X1,boole_POSet(X0))
& upper_relstr_subset(X1,boole_POSet(X0))
& proper_element(X1,powerset(the_carrier(boole_POSet(X0))))
& element(X1,powerset(the_carrier(boole_POSet(X0)))) )
& ~ empty(X0) ),
inference(ennf_transformation,[],[f732]) ).
fof(f1825,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( in(X2,X1)
& empty(X2) )
& ~ empty(X1)
& filtered_subset(X1,boole_POSet(X0))
& upper_relstr_subset(X1,boole_POSet(X0))
& proper_element(X1,powerset(the_carrier(boole_POSet(X0))))
& element(X1,powerset(the_carrier(boole_POSet(X0)))) )
& ~ empty(X0) ),
inference(flattening,[],[f1824]) ).
fof(f1950,plain,
! [X0] :
( X0 = empty_set
| ~ empty(X0) ),
inference(ennf_transformation,[],[f827]) ).
fof(f1963,plain,
! [X0,X1] :
( ~ in(X0,X1)
| ~ empty(X1) ),
inference(ennf_transformation,[],[f837]) ).
fof(f1975,plain,
! [X0] :
( ! [X1] :
( ( proper_element(X1,powerset(the_carrier(X0)))
<=> ~ in(bottom_of_relstr(X0),X1) )
| empty(X1)
| ~ filtered_subset(X1,X0)
| ~ upper_relstr_subset(X1,X0)
| ~ element(X1,powerset(the_carrier(X0))) )
| empty_carrier(X0)
| ~ reflexive_relstr(X0)
| ~ transitive_relstr(X0)
| ~ antisymmetric_relstr(X0)
| ~ lower_bounded_relstr(X0)
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f849]) ).
fof(f1976,plain,
! [X0] :
( ! [X1] :
( ( proper_element(X1,powerset(the_carrier(X0)))
<=> ~ in(bottom_of_relstr(X0),X1) )
| empty(X1)
| ~ filtered_subset(X1,X0)
| ~ upper_relstr_subset(X1,X0)
| ~ element(X1,powerset(the_carrier(X0))) )
| empty_carrier(X0)
| ~ reflexive_relstr(X0)
| ~ transitive_relstr(X0)
| ~ antisymmetric_relstr(X0)
| ~ lower_bounded_relstr(X0)
| ~ rel_str(X0) ),
inference(flattening,[],[f1975]) ).
fof(f2479,plain,
! [X0] : boole_POSet(X0) = poset_of_lattice(boole_lattice(X0)),
inference(cnf_transformation,[],[f159]) ).
fof(f2794,plain,
! [X0] : rel_str(boole_POSet(X0)),
inference(cnf_transformation,[],[f274]) ).
fof(f2944,plain,
! [X0] : lower_bounded_relstr(boole_POSet(X0)),
inference(cnf_transformation,[],[f367]) ).
fof(f2948,plain,
! [X0] : antisymmetric_relstr(boole_POSet(X0)),
inference(cnf_transformation,[],[f367]) ).
fof(f2949,plain,
! [X0] : transitive_relstr(boole_POSet(X0)),
inference(cnf_transformation,[],[f367]) ).
fof(f2950,plain,
! [X0] : reflexive_relstr(boole_POSet(X0)),
inference(cnf_transformation,[],[f367]) ).
fof(f2952,plain,
! [X0] : ~ empty_carrier(boole_POSet(X0)),
inference(cnf_transformation,[],[f367]) ).
fof(f3719,plain,
! [X0] : powerset(X0) = k1_pcomps_1(X0),
inference(cnf_transformation,[],[f544]) ).
fof(f4718,plain,
! [X0] : empty_set = bottom_of_relstr(boole_POSet(X0)),
inference(cnf_transformation,[],[f677]) ).
fof(f4807,plain,
empty(sK558),
inference(cnf_transformation,[],[f1825]) ).
fof(f4808,plain,
in(sK558,sK557),
inference(cnf_transformation,[],[f1825]) ).
fof(f4809,plain,
element(sK557,powerset(the_carrier(boole_POSet(sK556)))),
inference(cnf_transformation,[],[f1825]) ).
fof(f4810,plain,
proper_element(sK557,powerset(the_carrier(boole_POSet(sK556)))),
inference(cnf_transformation,[],[f1825]) ).
fof(f4811,plain,
upper_relstr_subset(sK557,boole_POSet(sK556)),
inference(cnf_transformation,[],[f1825]) ).
fof(f4812,plain,
filtered_subset(sK557,boole_POSet(sK556)),
inference(cnf_transformation,[],[f1825]) ).
fof(f4993,plain,
! [X0] :
( ~ empty(X0)
| empty_set = X0 ),
inference(cnf_transformation,[],[f1950]) ).
fof(f5009,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f1963]) ).
fof(f5031,plain,
! [X0,X1] :
( ~ rel_str(X0)
| ~ lower_bounded_relstr(X0)
| ~ antisymmetric_relstr(X0)
| ~ transitive_relstr(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0)
| ~ element(X1,powerset(the_carrier(X0)))
| ~ upper_relstr_subset(X1,X0)
| ~ filtered_subset(X1,X0)
| empty(X1)
| ~ in(bottom_of_relstr(X0),X1)
| ~ proper_element(X1,powerset(the_carrier(X0))) ),
inference(cnf_transformation,[],[f1976]) ).
fof(f5291,plain,
! [X0] : rel_str(poset_of_lattice(boole_lattice(X0))),
inference(definition_unfolding,[],[f2794,f2479]) ).
fof(f5317,plain,
! [X0] : ~ empty_carrier(poset_of_lattice(boole_lattice(X0))),
inference(definition_unfolding,[],[f2952,f2479]) ).
fof(f5319,plain,
! [X0] : reflexive_relstr(poset_of_lattice(boole_lattice(X0))),
inference(definition_unfolding,[],[f2950,f2479]) ).
fof(f5320,plain,
! [X0] : transitive_relstr(poset_of_lattice(boole_lattice(X0))),
inference(definition_unfolding,[],[f2949,f2479]) ).
fof(f5321,plain,
! [X0] : antisymmetric_relstr(poset_of_lattice(boole_lattice(X0))),
inference(definition_unfolding,[],[f2948,f2479]) ).
fof(f5325,plain,
! [X0] : lower_bounded_relstr(poset_of_lattice(boole_lattice(X0))),
inference(definition_unfolding,[],[f2944,f2479]) ).
fof(f6107,plain,
! [X0] : empty_set = bottom_of_relstr(poset_of_lattice(boole_lattice(X0))),
inference(definition_unfolding,[],[f4718,f2479]) ).
fof(f6133,plain,
filtered_subset(sK557,poset_of_lattice(boole_lattice(sK556))),
inference(definition_unfolding,[],[f4812,f2479]) ).
fof(f6134,plain,
upper_relstr_subset(sK557,poset_of_lattice(boole_lattice(sK556))),
inference(definition_unfolding,[],[f4811,f2479]) ).
fof(f6135,plain,
proper_element(sK557,k1_pcomps_1(the_carrier(poset_of_lattice(boole_lattice(sK556))))),
inference(definition_unfolding,[],[f4810,f3719,f2479]) ).
fof(f6136,plain,
element(sK557,k1_pcomps_1(the_carrier(poset_of_lattice(boole_lattice(sK556))))),
inference(definition_unfolding,[],[f4809,f3719,f2479]) ).
fof(f6226,plain,
! [X0,X1] :
( ~ rel_str(X0)
| ~ lower_bounded_relstr(X0)
| ~ antisymmetric_relstr(X0)
| ~ transitive_relstr(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0)
| ~ element(X1,k1_pcomps_1(the_carrier(X0)))
| ~ upper_relstr_subset(X1,X0)
| ~ filtered_subset(X1,X0)
| empty(X1)
| ~ in(bottom_of_relstr(X0),X1)
| ~ proper_element(X1,k1_pcomps_1(the_carrier(X0))) ),
inference(definition_unfolding,[],[f5031,f3719,f3719]) ).
fof(f7421,plain,
! [X0] : empty_carrier(poset_of_lattice(boole_lattice(X0))),
inference(consistent_polarity_flipping,[],[f5317]) ).
fof(f7422,plain,
! [X0] : ~ reflexive_relstr(poset_of_lattice(boole_lattice(X0))),
inference(consistent_polarity_flipping,[],[f5319]) ).
fof(f7423,plain,
! [X0] : ~ antisymmetric_relstr(poset_of_lattice(boole_lattice(X0))),
inference(consistent_polarity_flipping,[],[f5321]) ).
fof(f8875,plain,
~ filtered_subset(sK557,poset_of_lattice(boole_lattice(sK556))),
inference(consistent_polarity_flipping,[],[f6133]) ).
fof(f8876,plain,
~ element(sK557,k1_pcomps_1(the_carrier(poset_of_lattice(boole_lattice(sK556))))),
inference(consistent_polarity_flipping,[],[f6136]) ).
fof(f8877,plain,
~ in(sK558,sK557),
inference(consistent_polarity_flipping,[],[f4808]) ).
fof(f9022,plain,
! [X0,X1] :
( in(X0,X1)
| ~ empty(X1) ),
inference(consistent_polarity_flipping,[],[f5009]) ).
fof(f9035,plain,
! [X0,X1] :
( ~ rel_str(X0)
| ~ lower_bounded_relstr(X0)
| antisymmetric_relstr(X0)
| ~ transitive_relstr(X0)
| reflexive_relstr(X0)
| ~ empty_carrier(X0)
| element(X1,k1_pcomps_1(the_carrier(X0)))
| ~ upper_relstr_subset(X1,X0)
| filtered_subset(X1,X0)
| empty(X1)
| in(bottom_of_relstr(X0),X1)
| ~ proper_element(X1,k1_pcomps_1(the_carrier(X0))) ),
inference(consistent_polarity_flipping,[],[f6226]) ).
fof(f9509,plain,
empty_set = sK558,
inference(resolution,[],[f4993,f4807]) ).
fof(f34777,plain,
~ in(empty_set,sK557),
inference(forward_demodulation,[],[f8877,f9509]) ).
fof(f54590,plain,
! [X0,X1] :
( ~ upper_relstr_subset(X1,X0)
| ~ lower_bounded_relstr(X0)
| antisymmetric_relstr(X0)
| ~ transitive_relstr(X0)
| reflexive_relstr(X0)
| ~ empty_carrier(X0)
| element(X1,k1_pcomps_1(the_carrier(X0)))
| ~ rel_str(X0)
| filtered_subset(X1,X0)
| in(bottom_of_relstr(X0),X1)
| ~ proper_element(X1,k1_pcomps_1(the_carrier(X0))) ),
inference(forward_subsumption_resolution,[],[f9035,f9022]) ).
fof(f54595,plain,
( ~ lower_bounded_relstr(poset_of_lattice(boole_lattice(sK556)))
| antisymmetric_relstr(poset_of_lattice(boole_lattice(sK556)))
| ~ transitive_relstr(poset_of_lattice(boole_lattice(sK556)))
| reflexive_relstr(poset_of_lattice(boole_lattice(sK556)))
| ~ empty_carrier(poset_of_lattice(boole_lattice(sK556)))
| element(sK557,k1_pcomps_1(the_carrier(poset_of_lattice(boole_lattice(sK556)))))
| ~ rel_str(poset_of_lattice(boole_lattice(sK556)))
| filtered_subset(sK557,poset_of_lattice(boole_lattice(sK556)))
| in(bottom_of_relstr(poset_of_lattice(boole_lattice(sK556))),sK557)
| ~ proper_element(sK557,k1_pcomps_1(the_carrier(poset_of_lattice(boole_lattice(sK556))))) ),
inference(resolution,[],[f54590,f6134]) ).
fof(f54598,plain,
( antisymmetric_relstr(poset_of_lattice(boole_lattice(sK556)))
| ~ transitive_relstr(poset_of_lattice(boole_lattice(sK556)))
| reflexive_relstr(poset_of_lattice(boole_lattice(sK556)))
| ~ empty_carrier(poset_of_lattice(boole_lattice(sK556)))
| element(sK557,k1_pcomps_1(the_carrier(poset_of_lattice(boole_lattice(sK556)))))
| ~ rel_str(poset_of_lattice(boole_lattice(sK556)))
| filtered_subset(sK557,poset_of_lattice(boole_lattice(sK556)))
| in(bottom_of_relstr(poset_of_lattice(boole_lattice(sK556))),sK557)
| ~ proper_element(sK557,k1_pcomps_1(the_carrier(poset_of_lattice(boole_lattice(sK556))))) ),
inference(forward_subsumption_resolution,[],[f54595,f5325]) ).
fof(f54603,plain,
( ~ transitive_relstr(poset_of_lattice(boole_lattice(sK556)))
| reflexive_relstr(poset_of_lattice(boole_lattice(sK556)))
| ~ empty_carrier(poset_of_lattice(boole_lattice(sK556)))
| element(sK557,k1_pcomps_1(the_carrier(poset_of_lattice(boole_lattice(sK556)))))
| ~ rel_str(poset_of_lattice(boole_lattice(sK556)))
| filtered_subset(sK557,poset_of_lattice(boole_lattice(sK556)))
| in(bottom_of_relstr(poset_of_lattice(boole_lattice(sK556))),sK557)
| ~ proper_element(sK557,k1_pcomps_1(the_carrier(poset_of_lattice(boole_lattice(sK556))))) ),
inference(forward_subsumption_resolution,[],[f54598,f7423]) ).
fof(f54608,plain,
( reflexive_relstr(poset_of_lattice(boole_lattice(sK556)))
| ~ empty_carrier(poset_of_lattice(boole_lattice(sK556)))
| element(sK557,k1_pcomps_1(the_carrier(poset_of_lattice(boole_lattice(sK556)))))
| ~ rel_str(poset_of_lattice(boole_lattice(sK556)))
| filtered_subset(sK557,poset_of_lattice(boole_lattice(sK556)))
| in(bottom_of_relstr(poset_of_lattice(boole_lattice(sK556))),sK557)
| ~ proper_element(sK557,k1_pcomps_1(the_carrier(poset_of_lattice(boole_lattice(sK556))))) ),
inference(forward_subsumption_resolution,[],[f54603,f5320]) ).
fof(f54612,plain,
( ~ empty_carrier(poset_of_lattice(boole_lattice(sK556)))
| element(sK557,k1_pcomps_1(the_carrier(poset_of_lattice(boole_lattice(sK556)))))
| ~ rel_str(poset_of_lattice(boole_lattice(sK556)))
| filtered_subset(sK557,poset_of_lattice(boole_lattice(sK556)))
| in(bottom_of_relstr(poset_of_lattice(boole_lattice(sK556))),sK557)
| ~ proper_element(sK557,k1_pcomps_1(the_carrier(poset_of_lattice(boole_lattice(sK556))))) ),
inference(forward_subsumption_resolution,[],[f54608,f7422]) ).
fof(f54615,plain,
( element(sK557,k1_pcomps_1(the_carrier(poset_of_lattice(boole_lattice(sK556)))))
| ~ rel_str(poset_of_lattice(boole_lattice(sK556)))
| filtered_subset(sK557,poset_of_lattice(boole_lattice(sK556)))
| in(bottom_of_relstr(poset_of_lattice(boole_lattice(sK556))),sK557)
| ~ proper_element(sK557,k1_pcomps_1(the_carrier(poset_of_lattice(boole_lattice(sK556))))) ),
inference(forward_subsumption_resolution,[],[f54612,f7421]) ).
fof(f54618,plain,
( ~ rel_str(poset_of_lattice(boole_lattice(sK556)))
| filtered_subset(sK557,poset_of_lattice(boole_lattice(sK556)))
| in(bottom_of_relstr(poset_of_lattice(boole_lattice(sK556))),sK557)
| ~ proper_element(sK557,k1_pcomps_1(the_carrier(poset_of_lattice(boole_lattice(sK556))))) ),
inference(forward_subsumption_resolution,[],[f54615,f8876]) ).
fof(f54621,plain,
( filtered_subset(sK557,poset_of_lattice(boole_lattice(sK556)))
| in(bottom_of_relstr(poset_of_lattice(boole_lattice(sK556))),sK557)
| ~ proper_element(sK557,k1_pcomps_1(the_carrier(poset_of_lattice(boole_lattice(sK556))))) ),
inference(forward_subsumption_resolution,[],[f54618,f5291]) ).
fof(f54626,plain,
( in(bottom_of_relstr(poset_of_lattice(boole_lattice(sK556))),sK557)
| ~ proper_element(sK557,k1_pcomps_1(the_carrier(poset_of_lattice(boole_lattice(sK556))))) ),
inference(forward_subsumption_resolution,[],[f54621,f8875]) ).
fof(f54629,plain,
in(bottom_of_relstr(poset_of_lattice(boole_lattice(sK556))),sK557),
inference(forward_subsumption_resolution,[],[f54626,f6135]) ).
fof(f54632,plain,
in(empty_set,sK557),
inference(forward_demodulation,[],[f54629,f6107]) ).
fof(f54633,plain,
$false,
inference(forward_subsumption_resolution,[],[f54632,f34777]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU387+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % Computer : n003.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Mon Sep 28 05:05:42 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42 Running first-order model finding
% 0.12/0.42 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.87/2.16 % (1198647)Will run a generic schedule for satisfiability detection.
% 11.87/2.16 % (1198657)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2943638116:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 11.87/2.16 % (1198653)% WARNING: option uhcvi not known.
% 11.87/2.16 % (1198652)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3194866233_2999 on theBenchmark for (2999ds/0Mi)
% 11.87/2.16 % (1198653)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=581183122:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 11.87/2.16 % (1198654)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=276203800:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 11.87/2.16 % (1198655)dis+10_1_sil=32000:sp=arity:random_seed=698117817:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 11.87/2.16 % (1198656)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4190254039:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 11.87/2.16 % (1198658)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=647843984:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 11.87/2.16 % (1198657)Instruction limit reached!
% 11.87/2.16 % (1198657)------------------------------
% 11.87/2.16 % (1198657)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.87/2.16 % (1198657)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.87/2.16 % (1198657)CaDiCaL version: 2.1.3
% 11.87/2.16 % (1198657)Termination reason: Instruction limit
% 11.87/2.16 % (1198657)Termination phase: Saturation
% 11.87/2.16 % (1198657)Time elapsed: 0.039 s
% 11.87/2.16 % (1198657)Peak memory usage: 16 MB
% 11.87/2.16 % (1198657)Instructions burned: 131 (million)
% 11.87/2.16 % (1198666)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1679172917:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 11.87/2.16 % (1198655)Instruction limit reached!
% 11.87/2.16 % (1198655)------------------------------
% 11.87/2.16 % (1198655)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.87/2.16 % (1198655)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.87/2.16 % (1198655)CaDiCaL version: 2.1.3
% 11.87/2.16 % (1198655)Termination reason: Instruction limit
% 11.87/2.16 % (1198655)Termination phase: Saturation
% 11.87/2.16 % (1198655)Time elapsed: 0.056 s
% 11.87/2.16 % (1198655)Peak memory usage: 15 MB
% 11.87/2.16 % (1198655)Instructions burned: 103 (million)
% 11.87/2.16 % (1198656)Instruction limit reached!
% 11.87/2.16 % (1198656)------------------------------
% 11.87/2.16 % (1198656)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.87/2.16 % (1198656)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.87/2.16 % (1198656)CaDiCaL version: 2.1.3
% 11.87/2.16 % (1198656)Termination reason: Instruction limit
% 11.87/2.16 % (1198656)Termination phase: Property scanning
% 11.87/2.16 % (1198656)Time elapsed: 0.059 s
% 11.87/2.16 % (1198656)Peak memory usage: 14 MB
% 11.87/2.16 % (1198656)Instructions burned: 117 (million)
% 11.87/2.16 % (1198668)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=902977329:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 11.87/2.16 % (1198669)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1320089573:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 11.87/2.16 % (1198658)Instruction limit reached!
% 11.87/2.16 % (1198658)------------------------------
% 11.87/2.16 % (1198658)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.87/2.16 % (1198658)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.87/2.16 % (1198658)CaDiCaL version: 2.1.3
% 11.87/2.16 % (1198658)Termination reason: Instruction limit
% 11.87/2.16 % (1198658)Termination phase: Saturation
% 11.87/2.16 % (1198658)Time elapsed: 0.088 s
% 11.87/2.16 % (1198658)Peak memory usage: 17 MB
% 11.87/2.16 % (1198658)Instructions burned: 159 (million)
% 11.87/2.16 % (1198672)ott-21_1_sil=16000:fs=off:random_seed=2436617276:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 11.87/2.16 % (1198668)Instruction limit reached!
% 11.87/2.16 % (1198668)------------------------------
% 11.87/2.16 % (1198668)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.87/2.16 % (1198668)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.87/2.16 % (1198668)CaDiCaL version: 2.1.3
% 11.87/2.19 % (1198668)Termination reason: Instruction limit
% 11.87/2.19 % (1198668)Termination phase: Blocked clause elimination
% 11.87/2.19 % (1198668)Time elapsed: 0.070 s
% 11.87/2.19 % (1198668)Peak memory usage: 16 MB
% 11.87/2.19 % (1198668)Instructions burned: 131 (million)
% 11.87/2.19 % (1198674)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1538018335:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 11.87/2.19 % TRYING [1]
% 11.87/2.19 % TRYING [2]
% 11.87/2.19 % (1198672)Instruction limit reached!
% 11.87/2.19 % (1198672)------------------------------
% 11.87/2.19 % (1198672)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.87/2.19 % (1198672)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.87/2.19 % (1198672)CaDiCaL version: 2.1.3
% 11.87/2.19 % (1198672)Termination reason: Instruction limit
% 11.87/2.19 % (1198672)Termination phase: Saturation
% 11.87/2.19 % (1198672)Time elapsed: 0.092 s
% 11.87/2.19 % (1198672)Peak memory usage: 16 MB
% 11.87/2.19 % (1198672)Instructions burned: 181 (million)
% 11.87/2.19 % (1198676)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3353150805:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 11.87/2.19 % (1198666)Instruction limit reached!
% 11.87/2.19 % (1198666)------------------------------
% 11.87/2.19 % (1198666)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.87/2.19 % (1198666)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.87/2.19 % (1198666)CaDiCaL version: 2.1.3
% 11.87/2.19 % (1198666)Termination reason: Instruction limit
% 11.87/2.19 % (1198666)Termination phase: Finite model building constraint generation
% 11.87/2.19 % (1198666)Time elapsed: 0.182 s
% 11.87/2.19 % (1198666)Peak memory usage: 37 MB
% 11.87/2.19 % (1198666)Instructions burned: 717 (million)
% 11.87/2.19 % (1198678)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1442150374:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 11.87/2.19 % TRYING [1]
% 11.87/2.19 % TRYING [2]
% 11.87/2.19 % (1198674)Instruction limit reached!
% 11.87/2.19 % (1198674)------------------------------
% 11.87/2.19 % (1198674)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.87/2.19 % (1198674)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.87/2.19 % (1198674)CaDiCaL version: 2.1.3
% 11.87/2.19 % (1198674)Termination reason: Instruction limit
% 11.87/2.19 % (1198674)Termination phase: Saturation
% 11.87/2.19 % (1198674)Time elapsed: 0.290 s
% 11.87/2.19 % (1198674)Peak memory usage: 18 MB
% 11.87/2.19 % (1198674)Instructions burned: 479 (million)
% 11.87/2.19 % TRYING [3]
% 11.87/2.19 % (1198669)Instruction limit reached!
% 11.87/2.19 % (1198669)------------------------------
% 11.87/2.19 % (1198669)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.87/2.19 % (1198669)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.87/2.19 % (1198669)CaDiCaL version: 2.1.3
% 11.87/2.19 % (1198669)Termination reason: Instruction limit
% 11.87/2.19 % (1198669)Termination phase: Saturation
% 11.87/2.19 % (1198669)Time elapsed: 0.389 s
% 11.87/2.19 % (1198669)Peak memory usage: 24 MB
% 11.87/2.19 % (1198669)Instructions burned: 685 (million)
% 11.87/2.19 % TRYING [1]
% 11.87/2.19 % (1198680)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3046583785:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 11.87/2.19 % (1198681)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=864379078:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 11.87/2.19 % TRYING [2]
% 11.87/2.19 % (1198676)Instruction limit reached!
% 11.87/2.19 % (1198676)------------------------------
% 11.87/2.19 % (1198676)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.87/2.19 % (1198676)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.87/2.19 % (1198676)CaDiCaL version: 2.1.3
% 11.87/2.19 % (1198676)Termination reason: Instruction limit
% 11.87/2.19 % (1198676)Termination phase: Finite model building SAT solving
% 11.87/2.19 % (1198676)Time elapsed: 0.405 s
% 11.87/2.19 % (1198676)Peak memory usage: 37 MB
% 11.87/2.19 % (1198676)Instructions burned: 866 (million)
% 11.87/2.19 % (1198678)Instruction limit reached!
% 11.87/2.19 % (1198678)------------------------------
% 11.87/2.19 % (1198678)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.87/2.19 % (1198678)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.87/2.19 % (1198678)CaDiCaL version: 2.1.3
% 11.87/2.19 % (1198678)Termination reason: Instruction limit
% 11.87/2.19 % (1198678)Termination phase: Saturation
% 11.87/2.19 % (1198678)Time elapsed: 0.388 s
% 11.87/2.19 % (1198678)Peak memory usage: 32 MB
% 11.87/2.19 % (1198678)Instructions burned: 1181 (million)
% 11.87/2.19 % (1198685)fmb+10_1_sil=64000:random_seed=4191808743:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 11.87/2.19 % (1198684)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3341161281:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 11.87/2.19 % TRYING [1]
% 11.87/2.19 % TRYING [2]
% 11.87/2.19 % (1198681)Instruction limit reached!
% 11.87/2.19 % (1198681)------------------------------
% 11.87/2.19 % (1198681)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.87/2.19 % (1198681)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.87/2.19 % (1198681)CaDiCaL version: 2.1.3
% 11.87/2.19 % (1198681)Termination reason: Instruction limit
% 11.87/2.19 % (1198681)Termination phase: Saturation
% 11.87/2.19 % (1198681)Time elapsed: 0.371 s
% 11.87/2.19 % (1198681)Peak memory usage: 25 MB
% 11.87/2.19 % (1198681)Instructions burned: 692 (million)
% 11.87/2.19 % (1198688)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=4092629014:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 11.87/2.19 % (1198680)Instruction limit reached!
% 11.87/2.19 % (1198680)------------------------------
% 11.87/2.19 % (1198680)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.87/2.19 % (1198680)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.87/2.19 % (1198680)CaDiCaL version: 2.1.3
% 11.87/2.19 % (1198680)Termination reason: Instruction limit
% 11.87/2.19 % (1198680)Termination phase: Finite model building constraint generation
% 11.87/2.19 % (1198680)Time elapsed: 0.433 s
% 11.87/2.19 % (1198680)Peak memory usage: 69 MB
% 11.87/2.19 % (1198680)Instructions burned: 890 (million)
% 11.87/2.19 % (1198690)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2065307287:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 11.87/2.19 % TRYING [3]
% 11.87/2.19 % (1198684)Instruction limit reached!
% 11.87/2.19 % (1198684)------------------------------
% 11.87/2.19 % (1198684)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.87/2.19 % (1198684)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.87/2.19 % (1198684)CaDiCaL version: 2.1.3
% 11.87/2.19 % (1198684)Termination reason: Instruction limit
% 11.87/2.19 % (1198684)Termination phase: Saturation
% 11.87/2.19 % (1198684)Time elapsed: 0.383 s
% 11.87/2.19 % (1198684)Peak memory usage: 23 MB
% 11.87/2.19 % (1198684)Instructions burned: 880 (million)
% 11.87/2.19 % (1198692)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3698433342:i=5131_2988 on theBenchmark for (2988ds/5131Mi)
% 11.87/2.19 % (1198688)Cannot represent all propositional literals internally
% 11.87/2.19 % (1198688)Refutation not found, incomplete strategy
% 11.87/2.19 % (1198688)------------------------------
% 11.87/2.19 % (1198688)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.87/2.19 % (1198688)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.87/2.19 % (1198688)CaDiCaL version: 2.1.3
% 11.87/2.19 % (1198688)Termination reason: Refutation not found, incomplete strategy
% 11.87/2.19 % (1198688)Time elapsed: 0.249 s
% 11.87/2.19 % (1198688)Peak memory usage: 22 MB
% 11.87/2.19 % (1198688)Instructions burned: 502 (million)
% 11.87/2.19 % (1198688)------------------------------
% 11.87/2.19 % (1198688)------------------------------
% 11.87/2.19 % (1198694)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3281823908:i=1472:ins=7:fdi=8:gsp=on_2987 on theBenchmark for (2987ds/1472Mi)
% 11.87/2.19 % TRYING [8]
% 11.87/2.19 % TRYING [4]
% 11.87/2.19 % (1198690)Instruction limit reached!
% 11.87/2.19 % (1198690)------------------------------
% 11.87/2.19 % (1198690)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.87/2.19 % (1198690)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.87/2.19 % (1198690)CaDiCaL version: 2.1.3
% 11.87/2.19 % (1198690)Termination reason: Instruction limit
% 11.87/2.19 % (1198690)Termination phase: Finite model building constraint generation
% 11.87/2.19 % (1198690)Time elapsed: 0.395 s
% 11.87/2.19 % (1198690)Peak memory usage: 45 MB
% 11.87/2.19 % (1198690)Instructions burned: 921 (million)
% 11.87/2.19 % (1198696)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2797785581:i=6324_2985 on theBenchmark for (2985ds/6324Mi)
% 11.87/2.19 % (1198696)Cannot represent all propositional literals internally
% 11.87/2.19 % (1198696)Refutation not found, incomplete strategy
% 11.87/2.19 % (1198696)------------------------------
% 11.87/2.19 % (1198696)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.87/2.19 % (1198696)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.87/2.19 % (1198696)CaDiCaL version: 2.1.3
% 11.87/2.19 % (1198696)Termination reason: Refutation not found, incomplete strategy
% 11.87/2.19 % (1198696)Time elapsed: 0.303 s
% 11.87/2.19 % (1198696)Peak memory usage: 23 MB
% 11.87/2.19 % (1198696)Instructions burned: 611 (million)
% 11.87/2.19 % (1198696)------------------------------
% 11.87/2.19 % (1198696)------------------------------
% 11.87/2.19 % (1198653) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1198647-1198653"...
% 11.87/2.19 % (1198653)...printing done.
% 11.87/2.19 % (1198653)Refutation found. Thanks to Tanya!
% 11.87/2.19 % SZS status Theorem for theBenchmark
% 11.87/2.19 % SZS output start Proof for theBenchmark
% See solution above
% 11.87/2.20 % (1198653)------------------------------
% 11.87/2.20 % (1198653)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.87/2.20 % (1198653)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.87/2.20 % (1198653)CaDiCaL version: 2.1.3
% 11.87/2.20 % (1198653)Termination reason: Refutation
% 11.87/2.20 % (1198653)Time elapsed: 1.671 s
% 11.87/2.20 % (1198653)Peak memory usage: 38 MB
% 11.87/2.20 % (1198653)Instructions burned: 2702 (million)
% 11.87/2.20 % (1198647)Success in time 1.764 s
% 11.87/2.20 % Vampire exiting
%------------------------------------------------------------------------------