%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : KRS160+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n009.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 11:42:25 AM UTC 2026
% Result : Theorem 0.09s 0.43s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 12
% Syntax : Number of formulae : 69 ( 18 unt; 4 def)
% Number of atoms : 220 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 271 ( 120 ~; 109 |; 30 &)
% ( 10 <=>; 1 =>; 0 <=; 1 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 15 ( 14 usr; 5 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 25 ( 0 sgn 21 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).
fof(f2,axiom,
! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
fof(f3,axiom,
! [X0] :
( cC10(X0)
<=> ( cC4(X0)
& cC2(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f13,axiom,
! [X0] :
( cTEST(X0)
<=> ( cC8xcomp(X0)
& cC12(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_12) ).
fof(f14,axiom,
cTEST(iV21080),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_13) ).
fof(f19,axiom,
cC4(iV21081),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_18) ).
fof(f21,axiom,
cC2(iV21081),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_20) ).
fof(f23,conjecture,
( ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& cowlThing(iV21080)
& cC12(iV21080)
& cC10(iV21081)
& cowlThing(iV21081) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).
fof(f24,negated_conjecture,
~ ( ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& cowlThing(iV21080)
& cC12(iV21080)
& cC10(iV21081)
& cowlThing(iV21081) ),
inference(negated_conjecture,[status(cth)],[f23]) ).
fof(f25,plain,
~ ( ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& cowlThing(iV21080)
& cC12(iV21080)
& cC10(iV21081)
& cowlThing(iV21081) ),
inference(rectify,[],[f24]) ).
fof(f26,plain,
! [X0] :
( cTEST(X0)
=> ( cC8xcomp(X0)
& cC12(X0) ) ),
inference(unused_predicate_definition_removal,[],[f13]) ).
fof(f33,plain,
! [X0] :
( ( cC8xcomp(X0)
& cC12(X0) )
| ~ cTEST(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f35,plain,
( ? [X0] :
( ~ cowlThing(X0)
| cowlNothing(X0) )
| ? [X1] :
( xsd_string(X1)
<~> ~ xsd_integer(X1) )
| ~ cowlThing(iV21080)
| ~ cC12(iV21080)
| ~ cC10(iV21081)
| ~ cowlThing(iV21081) ),
inference(ennf_transformation,[],[f25]) ).
fof(f36,plain,
! [X0] :
( ( xsd_string(X0)
| xsd_integer(X0) )
& ( ~ xsd_integer(X0)
| ~ xsd_string(X0) ) ),
inference(nnf_transformation,[],[f2]) ).
fof(f37,plain,
! [X0] :
( ( cC10(X0)
| ~ cC4(X0)
| ~ cC2(X0) )
& ( ( cC4(X0)
& cC2(X0) )
| ~ cC10(X0) ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f38,plain,
! [X0] :
( ( cC10(X0)
| ~ cC4(X0)
| ~ cC2(X0) )
& ( ( cC4(X0)
& cC2(X0) )
| ~ cC10(X0) ) ),
inference(flattening,[],[f37]) ).
fof(f60,plain,
( ? [X0] :
( ~ cowlThing(X0)
| cowlNothing(X0) )
| ? [X1] :
( ( xsd_integer(X1)
| ~ xsd_string(X1) )
& ( ~ xsd_integer(X1)
| xsd_string(X1) ) )
| ~ cowlThing(iV21080)
| ~ cC12(iV21080)
| ~ cC10(iV21081)
| ~ cowlThing(iV21081) ),
inference(nnf_transformation,[],[f35]) ).
fof(f61,plain,
( ~ cowlThing(sK7)
| cowlNothing(sK7)
| ( ( xsd_integer(sK8)
| ~ xsd_string(sK8) )
& ( ~ xsd_integer(sK8)
| xsd_string(sK8) ) )
| ~ cowlThing(iV21080)
| ~ cC12(iV21080)
| ~ cC10(iV21081)
| ~ cowlThing(iV21081) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7,sK8]),skolemize(X0,sK7),skolemize(X1,sK8)],[f60]) ).
fof(f62,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f63,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f64,plain,
! [X0] :
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[],[f36]) ).
fof(f65,plain,
! [X0] :
( xsd_integer(X0)
| xsd_string(X0) ),
inference(cnf_transformation,[],[f36]) ).
fof(f68,plain,
! [X0] :
( ~ cC2(X0)
| ~ cC4(X0)
| cC10(X0) ),
inference(cnf_transformation,[],[f38]) ).
fof(f88,plain,
! [X0] :
( ~ cTEST(X0)
| cC12(X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f90,plain,
cTEST(iV21080),
inference(cnf_transformation,[],[f14]) ).
fof(f95,plain,
cC4(iV21081),
inference(cnf_transformation,[],[f19]) ).
fof(f97,plain,
cC2(iV21081),
inference(cnf_transformation,[],[f21]) ).
fof(f99,plain,
( ~ cowlThing(sK7)
| cowlNothing(sK7)
| ~ xsd_integer(sK8)
| xsd_string(sK8)
| ~ cowlThing(iV21080)
| ~ cC12(iV21080)
| ~ cC10(iV21081)
| ~ cowlThing(iV21081) ),
inference(cnf_transformation,[],[f61]) ).
fof(f100,plain,
( ~ cowlThing(sK7)
| cowlNothing(sK7)
| xsd_integer(sK8)
| ~ xsd_string(sK8)
| ~ cowlThing(iV21080)
| ~ cC12(iV21080)
| ~ cC10(iV21081)
| ~ cowlThing(iV21081) ),
inference(cnf_transformation,[],[f61]) ).
fof(f132,plain,
( ~ cowlThing(sK7)
| cowlNothing(sK7)
| ~ xsd_integer(sK8)
| ~ cowlThing(iV21080)
| ~ cC12(iV21080)
| ~ cC10(iV21081)
| ~ cowlThing(iV21081) ),
inference(forward_subsumption_resolution,[],[f99,f64]) ).
fof(f133,plain,
( cowlNothing(sK7)
| ~ xsd_integer(sK8)
| ~ cowlThing(iV21080)
| ~ cC12(iV21080)
| ~ cC10(iV21081)
| ~ cowlThing(iV21081) ),
inference(forward_subsumption_resolution,[],[f132,f63]) ).
fof(f134,plain,
( ~ xsd_integer(sK8)
| ~ cowlThing(iV21080)
| ~ cC12(iV21080)
| ~ cC10(iV21081)
| ~ cowlThing(iV21081) ),
inference(forward_subsumption_resolution,[],[f133,f62]) ).
fof(f135,plain,
( ~ xsd_integer(sK8)
| ~ cC12(iV21080)
| ~ cC10(iV21081)
| ~ cowlThing(iV21081) ),
inference(forward_subsumption_resolution,[],[f134,f63]) ).
fof(f136,plain,
( ~ xsd_integer(sK8)
| ~ cC12(iV21080)
| ~ cC10(iV21081) ),
inference(forward_subsumption_resolution,[],[f135,f63]) ).
fof(f138,definition,
( spl9_9
<=> cC10(iV21081) ),
introduced(definition,[new_symbols(definition,[spl9_9])],[avatar_definition]) ).
fof(f140,plain,
( ~ cC10(iV21081)
| spl9_9 ),
inference(avatar_component_clause,[],[f138]) ).
fof(f142,definition,
( spl9_10
<=> cC12(iV21080) ),
introduced(definition,[new_symbols(definition,[spl9_10])],[avatar_definition]) ).
fof(f144,plain,
( ~ cC12(iV21080)
| spl9_10 ),
inference(avatar_component_clause,[],[f142]) ).
fof(f146,definition,
( spl9_11
<=> xsd_integer(sK8) ),
introduced(definition,[new_symbols(definition,[spl9_11])],[avatar_definition]) ).
fof(f148,plain,
( ~ xsd_integer(sK8)
| spl9_11 ),
inference(avatar_component_clause,[],[f146]) ).
fof(f149,plain,
( ~ spl9_9
| ~ spl9_10
| ~ spl9_11 ),
inference(avatar_split_clause,[],[f136,f146,f142,f138]) ).
fof(f163,plain,
cC12(iV21080),
inference(resolution,[],[f88,f90]) ).
fof(f206,plain,
( $false
| spl9_10 ),
inference(global_subsumption,[],[f144,f163]) ).
fof(f207,plain,
spl9_10,
inference(avatar_contradiction_clause,[],[f206]) ).
fof(f208,plain,
( cowlNothing(sK7)
| xsd_integer(sK8)
| ~ xsd_string(sK8)
| ~ cowlThing(iV21080)
| ~ cC12(iV21080)
| ~ cC10(iV21081)
| ~ cowlThing(iV21081) ),
inference(forward_subsumption_resolution,[],[f100,f63]) ).
fof(f209,plain,
( xsd_integer(sK8)
| ~ xsd_string(sK8)
| ~ cowlThing(iV21080)
| ~ cC12(iV21080)
| ~ cC10(iV21081)
| ~ cowlThing(iV21081) ),
inference(forward_subsumption_resolution,[],[f208,f62]) ).
fof(f210,plain,
( ~ xsd_string(sK8)
| ~ cowlThing(iV21080)
| ~ cC12(iV21080)
| ~ cC10(iV21081)
| ~ cowlThing(iV21081) ),
inference(forward_subsumption_resolution,[],[f209,f64]) ).
fof(f211,plain,
( ~ xsd_string(sK8)
| ~ cC12(iV21080)
| ~ cC10(iV21081)
| ~ cowlThing(iV21081) ),
inference(forward_subsumption_resolution,[],[f210,f63]) ).
fof(f212,plain,
( ~ xsd_string(sK8)
| ~ cC12(iV21080)
| ~ cC10(iV21081) ),
inference(forward_subsumption_resolution,[],[f211,f63]) ).
fof(f213,plain,
( ~ xsd_string(sK8)
| ~ cC10(iV21081) ),
inference(global_subsumption,[],[f212,f163]) ).
fof(f215,definition,
( spl9_21
<=> xsd_string(sK8) ),
introduced(definition,[new_symbols(definition,[spl9_21])],[avatar_definition]) ).
fof(f217,plain,
( ~ xsd_string(sK8)
| spl9_21 ),
inference(avatar_component_clause,[],[f215]) ).
fof(f218,plain,
( ~ spl9_9
| ~ spl9_21 ),
inference(avatar_split_clause,[],[f213,f215,f138]) ).
fof(f232,plain,
( xsd_string(sK8)
| spl9_11 ),
inference(resolution,[],[f65,f148]) ).
fof(f233,plain,
( $false
| spl9_11
| spl9_21 ),
inference(forward_subsumption_resolution,[],[f232,f217]) ).
fof(f234,plain,
( spl9_11
| spl9_21 ),
inference(avatar_contradiction_clause,[],[f233]) ).
fof(f272,plain,
( ~ cC4(iV21081)
| cC10(iV21081) ),
inference(resolution,[],[f68,f97]) ).
fof(f274,plain,
cC10(iV21081),
inference(forward_subsumption_resolution,[],[f272,f95]) ).
fof(f275,plain,
( $false
| spl9_9 ),
inference(forward_subsumption_resolution,[],[f274,f140]) ).
fof(f276,plain,
spl9_9,
inference(avatar_contradiction_clause,[],[f275]) ).
cnf(s76,plain,
( ~ spl9_9
| ~ spl9_10
| ~ spl9_11 ),
inference(sat_conversion,[],[f149]) ).
cnf(s125,plain,
spl9_10,
inference(sat_conversion,[],[f207]) ).
cnf(s137,plain,
( ~ spl9_9
| ~ spl9_21 ),
inference(sat_conversion,[],[f218]) ).
cnf(s149,plain,
( spl9_11
| spl9_21 ),
inference(sat_conversion,[],[f234]) ).
cnf(s193,plain,
spl9_9,
inference(sat_conversion,[],[f276]) ).
cnf(s194,plain,
~ spl9_21,
inference(rat,[],[s137,s193]) ).
cnf(s196,plain,
spl9_11,
inference(rat,[],[s149,s194]) ).
cnf(s198,plain,
$false,
inference(rat,[],[s76,s196,s125,s193]) ).
fof(f277,plain,
$false,
inference(avatar_sat_refutation,[],[s198]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS160+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.37 % Computer : n009.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 27 13:33:00 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.39 Running first-order model finding
% 0.09/0.39 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.43 % (2039705)Will run a generic schedule for satisfiability detection.
% 0.09/0.43 % (2039712)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3788886565:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.09/0.43 % (2039712) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2039705-2039712"...
% 0.09/0.43 % (2039712)...printing done.
% 0.09/0.43 % (2039712)Refutation found. Thanks to Tanya!
% 0.09/0.43 % SZS status Theorem for theBenchmark
% 0.09/0.43 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.43 % (2039712)------------------------------
% 0.09/0.43 % (2039712)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.43 % (2039712)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.43 % (2039712)CaDiCaL version: 2.1.3
% 0.09/0.43 % (2039712)Termination reason: Refutation
% 0.09/0.43 % (2039712)Time elapsed: 0.003 s
% 0.09/0.43 % (2039712)Peak memory usage: 12 MB
% 0.09/0.43 % (2039712)Instructions burned: 6 (million)
% 0.09/0.43 % (2039705)Success in time 0.026 s
% 0.09/0.43 % Vampire exiting
%------------------------------------------------------------------------------