%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KRS172+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n001.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 11:41:49 AM UTC 2026
% Result : Theorem 2.86s 1.28s
% Output : Refutation 3.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 17
% Syntax : Number of formulae : 123 ( 14 unt; 8 def)
% Number of atoms : 355 ( 16 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 394 ( 162 ~; 190 |; 19 &)
% ( 17 <=>; 4 =>; 0 <=; 2 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 9 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 81 ( 0 sgn 73 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10,axiom,
! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).
fof(f11,axiom,
! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
fof(f12,axiom,
! [X0] :
( cd(X0)
<=> rq(X0,iv) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f13,axiom,
! [X0] :
( cd(X0)
<=> rp(X0,iv) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(f14,axiom,
! [X0,X1,X2] :
( ( rp(X0,X1)
& rp(X0,X2) )
=> X1 = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
fof(f15,axiom,
! [X0,X1] :
( rp(X0,X1)
=> cd(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
fof(f16,axiom,
! [X0,X1,X2] :
( ( rq(X0,X1)
& rq(X0,X2) )
=> X1 = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
fof(f17,axiom,
! [X0,X1] :
( rq(X0,X1)
=> cd(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
fof(f19,conjecture,
( ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& ! [X0,X1] :
( rq(X0,X1)
<=> rp(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).
fof(f20,negated_conjecture,
~ ( ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& ! [X0,X1] :
( rq(X0,X1)
<=> rp(X0,X1) ) ),
inference(negated_conjecture,[status(cth)],[f19]) ).
fof(f21,plain,
~ ( ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& ! [X2,X3] :
( rq(X2,X3)
<=> rp(X2,X3) ) ),
inference(rectify,[],[f20]) ).
fof(f40,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ rp(X0,X1)
| ~ rp(X0,X2) ),
inference(ennf_transformation,[],[f14]) ).
fof(f41,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ rp(X0,X1)
| ~ rp(X0,X2) ),
inference(flattening,[],[f40]) ).
fof(f42,plain,
! [X0,X1] :
( cd(X0)
| ~ rp(X0,X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f43,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ rq(X0,X1)
| ~ rq(X0,X2) ),
inference(ennf_transformation,[],[f16]) ).
fof(f44,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ rq(X0,X1)
| ~ rq(X0,X2) ),
inference(flattening,[],[f43]) ).
fof(f45,plain,
! [X0,X1] :
( cd(X0)
| ~ rq(X0,X1) ),
inference(ennf_transformation,[],[f17]) ).
fof(f46,plain,
( ? [X0] :
( ~ cowlThing(X0)
| cowlNothing(X0) )
| ? [X1] :
( xsd_string(X1)
<~> ~ xsd_integer(X1) )
| ? [X2,X3] :
( rq(X2,X3)
<~> rp(X2,X3) ) ),
inference(ennf_transformation,[],[f21]) ).
fof(f47,plain,
! [X0] :
( ( xsd_string(X0)
| xsd_integer(X0) )
& ( ~ xsd_integer(X0)
| ~ xsd_string(X0) ) ),
inference(nnf_transformation,[],[f11]) ).
fof(f48,plain,
! [X0] :
( ( cd(X0)
| ~ rq(X0,iv) )
& ( rq(X0,iv)
| ~ cd(X0) ) ),
inference(nnf_transformation,[],[f12]) ).
fof(f49,plain,
! [X0] :
( ( cd(X0)
| ~ rp(X0,iv) )
& ( rp(X0,iv)
| ~ cd(X0) ) ),
inference(nnf_transformation,[],[f13]) ).
fof(f50,plain,
( ? [X0] :
( ~ cowlThing(X0)
| cowlNothing(X0) )
| ? [X1] :
( ( xsd_integer(X1)
| ~ xsd_string(X1) )
& ( ~ xsd_integer(X1)
| xsd_string(X1) ) )
| ? [X2,X3] :
( ( ~ rp(X2,X3)
| ~ rq(X2,X3) )
& ( rp(X2,X3)
| rq(X2,X3) ) ) ),
inference(nnf_transformation,[],[f46]) ).
fof(f51,plain,
( ~ cowlThing(sK0)
| cowlNothing(sK0)
| ( ( xsd_integer(sK1)
| ~ xsd_string(sK1) )
& ( ~ xsd_integer(sK1)
| xsd_string(sK1) ) )
| ( ( ~ rp(sK2,sK3)
| ~ rq(sK2,sK3) )
& ( rp(sK2,sK3)
| rq(sK2,sK3) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3)],[f50]) ).
fof(f61,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[],[f10]) ).
fof(f62,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[],[f10]) ).
fof(f63,plain,
! [X0] :
( ~ xsd_string(X0)
| ~ xsd_integer(X0) ),
inference(cnf_transformation,[],[f47]) ).
fof(f64,plain,
! [X0] :
( xsd_integer(X0)
| xsd_string(X0) ),
inference(cnf_transformation,[],[f47]) ).
fof(f65,plain,
! [X0] :
( rq(X0,iv)
| ~ cd(X0) ),
inference(cnf_transformation,[],[f48]) ).
fof(f67,plain,
! [X0] :
( rp(X0,iv)
| ~ cd(X0) ),
inference(cnf_transformation,[],[f49]) ).
fof(f68,plain,
! [X0] :
( cd(X0)
| ~ rp(X0,iv) ),
inference(cnf_transformation,[],[f49]) ).
fof(f69,plain,
! [X2,X0,X1] :
( ~ rp(X0,X1)
| X1 = X2
| ~ rp(X0,X2) ),
inference(cnf_transformation,[],[f41]) ).
fof(f70,plain,
! [X0,X1] :
( cd(X0)
| ~ rp(X0,X1) ),
inference(cnf_transformation,[],[f42]) ).
fof(f71,plain,
! [X2,X0,X1] :
( ~ rq(X0,X1)
| X1 = X2
| ~ rq(X0,X2) ),
inference(cnf_transformation,[],[f44]) ).
fof(f72,plain,
! [X0,X1] :
( cd(X0)
| ~ rq(X0,X1) ),
inference(cnf_transformation,[],[f45]) ).
fof(f74,plain,
( ~ cowlThing(sK0)
| cowlNothing(sK0)
| ~ xsd_integer(sK1)
| xsd_string(sK1)
| rp(sK2,sK3)
| rq(sK2,sK3) ),
inference(cnf_transformation,[],[f51]) ).
fof(f75,plain,
( ~ cowlThing(sK0)
| cowlNothing(sK0)
| ~ xsd_integer(sK1)
| xsd_string(sK1)
| ~ rp(sK2,sK3)
| ~ rq(sK2,sK3) ),
inference(cnf_transformation,[],[f51]) ).
fof(f76,plain,
( ~ cowlThing(sK0)
| cowlNothing(sK0)
| xsd_integer(sK1)
| ~ xsd_string(sK1)
| rp(sK2,sK3)
| rq(sK2,sK3) ),
inference(cnf_transformation,[],[f51]) ).
fof(f77,plain,
( ~ cowlThing(sK0)
| cowlNothing(sK0)
| xsd_integer(sK1)
| ~ xsd_string(sK1)
| ~ rp(sK2,sK3)
| ~ rq(sK2,sK3) ),
inference(cnf_transformation,[],[f51]) ).
fof(f88,definition,
( spl4_1
<=> rq(sK2,sK3) ),
introduced(definition,[new_symbols(definition,[spl4_1])],[avatar_definition]) ).
fof(f89,plain,
( ~ rq(sK2,sK3)
| spl4_1 ),
inference(avatar_component_clause,[],[f88]) ).
fof(f90,plain,
( rq(sK2,sK3)
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f88]) ).
fof(f92,definition,
( spl4_2
<=> rp(sK2,sK3) ),
introduced(definition,[new_symbols(definition,[spl4_2])],[avatar_definition]) ).
fof(f93,plain,
( ~ rp(sK2,sK3)
| spl4_2 ),
inference(avatar_component_clause,[],[f92]) ).
fof(f94,plain,
( rp(sK2,sK3)
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f92]) ).
fof(f96,definition,
( spl4_3
<=> xsd_string(sK1) ),
introduced(definition,[new_symbols(definition,[spl4_3])],[avatar_definition]) ).
fof(f97,plain,
( ~ xsd_string(sK1)
| spl4_3 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f98,plain,
( xsd_string(sK1)
| ~ spl4_3 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f100,definition,
( spl4_4
<=> xsd_integer(sK1) ),
introduced(definition,[new_symbols(definition,[spl4_4])],[avatar_definition]) ).
fof(f101,plain,
( xsd_integer(sK1)
| ~ spl4_4 ),
inference(avatar_component_clause,[],[f100]) ).
fof(f102,plain,
( ~ xsd_integer(sK1)
| spl4_4 ),
inference(avatar_component_clause,[],[f100]) ).
fof(f104,definition,
( spl4_5
<=> cowlNothing(sK0) ),
introduced(definition,[new_symbols(definition,[spl4_5])],[avatar_definition]) ).
fof(f106,plain,
( cowlNothing(sK0)
| ~ spl4_5 ),
inference(avatar_component_clause,[],[f104]) ).
fof(f108,definition,
( spl4_6
<=> cowlThing(sK0) ),
introduced(definition,[new_symbols(definition,[spl4_6])],[avatar_definition]) ).
fof(f110,plain,
( ~ cowlThing(sK0)
| spl4_6 ),
inference(avatar_component_clause,[],[f108]) ).
fof(f111,plain,
( spl4_1
| spl4_2
| spl4_3
| ~ spl4_4
| spl4_5
| ~ spl4_6 ),
inference(avatar_split_clause,[],[f74,f108,f104,f100,f96,f92,f88]) ).
fof(f112,plain,
( ~ spl4_1
| ~ spl4_2
| spl4_3
| ~ spl4_4
| spl4_5
| ~ spl4_6 ),
inference(avatar_split_clause,[],[f75,f108,f104,f100,f96,f92,f88]) ).
fof(f113,plain,
( spl4_1
| spl4_2
| ~ spl4_3
| spl4_4
| spl4_5
| ~ spl4_6 ),
inference(avatar_split_clause,[],[f76,f108,f104,f100,f96,f92,f88]) ).
fof(f114,plain,
( ~ spl4_1
| ~ spl4_2
| ~ spl4_3
| spl4_4
| spl4_5
| ~ spl4_6 ),
inference(avatar_split_clause,[],[f77,f108,f104,f100,f96,f92,f88]) ).
fof(f115,plain,
( $false
| spl4_6 ),
inference(resolution,[],[f62,f110]) ).
fof(f116,plain,
spl4_6,
inference(avatar_contradiction_clause,[],[f115]) ).
fof(f117,plain,
( xsd_string(sK1)
| spl4_4 ),
inference(resolution,[],[f64,f102]) ).
fof(f118,plain,
( $false
| spl4_3
| spl4_4 ),
inference(forward_subsumption_resolution,[],[f117,f97]) ).
fof(f119,plain,
( spl4_3
| spl4_4 ),
inference(avatar_contradiction_clause,[],[f118]) ).
fof(f120,plain,
( $false
| ~ spl4_5 ),
inference(forward_subsumption_resolution,[],[f106,f61]) ).
fof(f121,plain,
~ spl4_5,
inference(avatar_contradiction_clause,[],[f120]) ).
fof(f122,plain,
! [X0,X1] :
( iv = X0
| ~ rp(X1,X0)
| ~ cd(X1) ),
inference(resolution,[],[f69,f67]) ).
fof(f124,plain,
! [X0,X1] :
( ~ rp(X1,X0)
| iv = X0 ),
inference(forward_subsumption_resolution,[],[f122,f70]) ).
fof(f126,plain,
! [X0,X1] :
( iv = X0
| ~ rq(X1,X0)
| ~ cd(X1) ),
inference(resolution,[],[f71,f65]) ).
fof(f128,plain,
! [X0,X1] :
( ~ rq(X1,X0)
| iv = X0 ),
inference(forward_subsumption_resolution,[],[f126,f72]) ).
fof(f132,definition,
( spl4_7
<=> cd(sK2) ),
introduced(definition,[new_symbols(definition,[spl4_7])],[avatar_definition]) ).
fof(f133,plain,
( cd(sK2)
| ~ spl4_7 ),
inference(avatar_component_clause,[],[f132]) ).
fof(f134,plain,
( ~ cd(sK2)
| spl4_7 ),
inference(avatar_component_clause,[],[f132]) ).
fof(f136,definition,
( spl4_8
<=> iv = sK3 ),
introduced(definition,[new_symbols(definition,[spl4_8])],[avatar_definition]) ).
fof(f138,plain,
( iv = sK3
| ~ spl4_8 ),
inference(avatar_component_clause,[],[f136]) ).
fof(f141,plain,
( ! [X0] : ~ rq(sK2,X0)
| spl4_7 ),
inference(resolution,[],[f134,f72]) ).
fof(f145,plain,
( iv = sK3
| ~ spl4_1 ),
inference(resolution,[],[f128,f90]) ).
fof(f147,plain,
( spl4_8
| ~ spl4_1 ),
inference(avatar_split_clause,[],[f145,f88,f136]) ).
fof(f148,plain,
( ! [X0] :
( rp(X0,sK3)
| ~ cd(X0) )
| ~ spl4_8 ),
inference(superposition,[],[f67,f138]) ).
fof(f149,plain,
( ! [X0] :
( rq(X0,sK3)
| ~ cd(X0) )
| ~ spl4_8 ),
inference(superposition,[],[f65,f138]) ).
fof(f150,plain,
( $false
| ~ spl4_1
| spl4_7 ),
inference(resolution,[],[f141,f90]) ).
fof(f152,plain,
( ~ spl4_1
| spl4_7 ),
inference(avatar_contradiction_clause,[],[f150]) ).
fof(f153,plain,
( ~ cd(sK2)
| spl4_2
| ~ spl4_8 ),
inference(resolution,[],[f148,f93]) ).
fof(f157,plain,
( $false
| spl4_2
| ~ spl4_7
| ~ spl4_8 ),
inference(forward_subsumption_resolution,[],[f153,f133]) ).
fof(f158,plain,
( spl4_2
| ~ spl4_7
| ~ spl4_8 ),
inference(avatar_contradiction_clause,[],[f157]) ).
fof(f159,plain,
( iv = sK3
| ~ spl4_2 ),
inference(resolution,[],[f94,f124]) ).
fof(f163,plain,
( ~ cd(sK2)
| spl4_1
| ~ spl4_8 ),
inference(resolution,[],[f149,f89]) ).
fof(f167,plain,
( ~ spl4_7
| spl4_1
| ~ spl4_8 ),
inference(avatar_split_clause,[],[f163,f136,f88,f132]) ).
fof(f173,plain,
( ~ rp(sK2,iv)
| spl4_7 ),
inference(resolution,[],[f134,f68]) ).
fof(f176,plain,
( ~ rp(sK2,sK3)
| spl4_7
| ~ spl4_8 ),
inference(forward_demodulation,[],[f173,f138]) ).
fof(f177,plain,
( $false
| ~ spl4_2
| spl4_7
| ~ spl4_8 ),
inference(forward_subsumption_resolution,[],[f176,f94]) ).
fof(f178,plain,
( ~ spl4_2
| spl4_7
| ~ spl4_8 ),
inference(avatar_contradiction_clause,[],[f177]) ).
fof(f179,plain,
( spl4_8
| ~ spl4_2 ),
inference(avatar_split_clause,[],[f159,f92,f136]) ).
fof(f181,plain,
( ~ xsd_integer(sK1)
| ~ spl4_3 ),
inference(resolution,[],[f98,f63]) ).
fof(f182,plain,
( $false
| ~ spl4_3
| ~ spl4_4 ),
inference(forward_subsumption_resolution,[],[f181,f101]) ).
fof(f183,plain,
( ~ spl4_3
| ~ spl4_4 ),
inference(avatar_contradiction_clause,[],[f182]) ).
cnf(s1,plain,
( spl4_1
| spl4_2
| spl4_3
| ~ spl4_4
| spl4_5
| ~ spl4_6 ),
inference(sat_conversion,[],[f111]) ).
cnf(s2,plain,
( ~ spl4_1
| ~ spl4_2
| spl4_3
| ~ spl4_4
| spl4_5
| ~ spl4_6 ),
inference(sat_conversion,[],[f112]) ).
cnf(s3,plain,
( spl4_1
| spl4_2
| ~ spl4_3
| spl4_4
| spl4_5
| ~ spl4_6 ),
inference(sat_conversion,[],[f113]) ).
cnf(s4,plain,
( ~ spl4_1
| ~ spl4_2
| ~ spl4_3
| spl4_4
| spl4_5
| ~ spl4_6 ),
inference(sat_conversion,[],[f114]) ).
cnf(s5,plain,
spl4_6,
inference(sat_conversion,[],[f116]) ).
cnf(s6,plain,
( spl4_3
| spl4_4 ),
inference(sat_conversion,[],[f119]) ).
cnf(s7,plain,
~ spl4_5,
inference(sat_conversion,[],[f121]) ).
cnf(s9,plain,
( ~ spl4_1
| spl4_8 ),
inference(sat_conversion,[],[f147]) ).
cnf(s10,plain,
( ~ spl4_1
| spl4_7 ),
inference(sat_conversion,[],[f152]) ).
cnf(s11,plain,
( spl4_2
| ~ spl4_7
| ~ spl4_8 ),
inference(sat_conversion,[],[f158]) ).
cnf(s13,plain,
( spl4_1
| ~ spl4_7
| ~ spl4_8 ),
inference(sat_conversion,[],[f167]) ).
cnf(s14,plain,
( ~ spl4_2
| spl4_7
| ~ spl4_8 ),
inference(sat_conversion,[],[f178]) ).
cnf(s15,plain,
( ~ spl4_2
| spl4_8 ),
inference(sat_conversion,[],[f179]) ).
cnf(s18,plain,
( ~ spl4_3
| ~ spl4_4 ),
inference(sat_conversion,[],[f183]) ).
cnf(s19,plain,
( ~ spl4_1
| ~ spl4_2
| ~ spl4_3
| spl4_4 ),
inference(rat,[],[s4,s5,s7]) ).
cnf(s20,plain,
( spl4_1
| spl4_2
| ~ spl4_3
| spl4_4 ),
inference(rat,[],[s3,s5,s7]) ).
cnf(s21,plain,
( ~ spl4_1
| ~ spl4_2
| spl4_3
| ~ spl4_4 ),
inference(rat,[],[s2,s5,s7]) ).
cnf(s22,plain,
( spl4_1
| spl4_2
| spl4_3
| ~ spl4_4 ),
inference(rat,[],[s1,s5,s7]) ).
cnf(s23,plain,
( spl4_3
| spl4_2
| spl4_1 ),
inference(rat,[],[s22,s6]) ).
cnf(s24,plain,
( spl4_2
| spl4_1 ),
inference(rat,[],[s20,s18,s23]) ).
cnf(s25,plain,
spl4_1,
inference(rat,[],[s13,s14,s15,s24]) ).
cnf(s26,plain,
spl4_7,
inference(rat,[],[s10,s25]) ).
cnf(s27,plain,
spl4_8,
inference(rat,[],[s9,s25]) ).
cnf(s28,plain,
spl4_2,
inference(rat,[],[s11,s26,s27]) ).
cnf(s29,plain,
spl4_3,
inference(rat,[],[s21,s6,s25,s28]) ).
cnf(s30,plain,
~ spl4_4,
inference(rat,[],[s18,s29]) ).
cnf(s31,plain,
$false,
inference(rat,[],[s19,s28,s25,s30,s29]) ).
fof(f184,plain,
$false,
inference(avatar_sat_refutation,[],[s31]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS172+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.04/0.36 % Computer : n001.cluster.edu
% 0.04/0.36 % Model : x86_64 x86_64
% 0.04/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.36 % Memory : 8046.5625MB
% 0.04/0.36 % OS : Linux 6.8.0-71-generic
% 0.04/0.36 % CPULimit : 300
% 0.04/0.36 % WCLimit : 300
% 0.04/0.36 % DateTime : Sun Sep 27 13:39:30 UTC 2026
% 0.04/0.36 % CPUTime :
% 0.04/0.36 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.04/0.40 Running first-order theorem proving
% 0.04/0.40 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.86/1.28 % (3577430)Detected formulas, will run a generic FOF schedule.
% 2.86/1.28 % (3577438)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1736148496:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.86/1.28 % (3577438)Refutation not found, incomplete strategy
% 2.86/1.28 % (3577438)------------------------------
% 2.86/1.28 % (3577438)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.86/1.28 % (3577438)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.86/1.28 % (3577438)CaDiCaL version: 2.1.3
% 2.86/1.28 % (3577438)Termination reason: Refutation not found, incomplete strategy
% 2.86/1.28 % (3577438)Time elapsed: 0.001 s
% 2.86/1.28 % (3577438)Peak memory usage: 88 MB
% 2.86/1.28 % (3577438)Instructions burned: 1 (million)
% 2.86/1.28 % (3577439)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3436443028:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.86/1.28 % (3577436)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1175975866:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.86/1.28 % (3577435)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3661071690:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.86/1.28 % (3577437)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=1433756317:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.86/1.28 % (3577441)dis-21_1_sil=8000:lcm=predicate:random_seed=1045951975:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 2.86/1.28 % (3577440)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4246869913:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.86/1.28 % (3577439)Refutation not found, incomplete strategy
% 2.86/1.28 % (3577439)------------------------------
% 2.86/1.28 % (3577439)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.86/1.28 % (3577439)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.86/1.28 % (3577439)CaDiCaL version: 2.1.3
% 2.86/1.28 % (3577439)Termination reason: Refutation not found, incomplete strategy
% 2.86/1.28 % (3577439)Time elapsed: 0.002 s
% 2.86/1.28 % (3577439)Peak memory usage: 88 MB
% 2.86/1.28 % (3577439)Instructions burned: 1 (million)
% 2.86/1.28 % (3577441)Refutation not found, incomplete strategy
% 2.86/1.28 % (3577441)------------------------------
% 2.86/1.28 % (3577441)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.86/1.28 % (3577441)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.86/1.28 % (3577441)CaDiCaL version: 2.1.3
% 2.86/1.28 % (3577441)Termination reason: Refutation not found, incomplete strategy
% 2.86/1.28 % (3577441)Time elapsed: 0.002 s
% 2.86/1.28 % (3577441)Peak memory usage: 88 MB
% 2.86/1.28 % (3577441)Instructions burned: 1 (million)
% 2.86/1.28 % (3577440)First to succeed.
% 2.86/1.28 % (3577440)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3577430"
% 2.86/1.28 % (3577438)------------------------------
% 2.86/1.28 % (3577438)------------------------------
% 2.86/1.28 % (3577441)------------------------------
% 2.86/1.28 % (3577441)------------------------------
% 2.86/1.28 % (3577439)------------------------------
% 2.86/1.28 % (3577439)------------------------------
% 2.86/1.28 % (3577440)Refutation found. Thanks to Tanya!
% 2.86/1.28 % SZS status Theorem for theBenchmark
% 2.86/1.28 % SZS output start Proof for theBenchmark
% See solution above
% 3.63/1.47 % (3577440)------------------------------
% 3.63/1.47 % (3577440)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.63/1.47 % (3577440)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.63/1.47 % (3577440)CaDiCaL version: 2.1.3
% 3.63/1.47 % (3577440)Termination reason: Refutation
% 3.63/1.47 % (3577440)Time elapsed: 0.005 s
% 3.63/1.47 % (3577440)Peak memory usage: 90 MB
% 3.63/1.47 % (3577440)Instructions burned: 5 (million)
% 3.63/1.47 % (3577440)------------------------------
% 3.63/1.47 % (3577440)------------------------------
% 3.63/1.47 % (3577430)Success in time 0.432 s
% 3.63/1.47 % Vampire exiting
%------------------------------------------------------------------------------