%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : KRS148+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n020.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 11:42:23 AM UTC 2026
% Result : Theorem 0.18s 0.47s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 15
% Syntax : Number of formulae : 83 ( 23 unt; 8 def)
% Number of atoms : 236 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 261 ( 108 ~; 107 |; 30 &)
% ( 14 <=>; 1 =>; 0 <=; 1 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 18 ( 17 usr; 9 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 26 ( 0 sgn 22 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).
fof(f2,axiom,
! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
fof(f26,axiom,
! [X0] :
( cC140(X0)
<=> ( cTOP(X0)
& cC138(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_25) ).
fof(f72,axiom,
! [X0] :
( cTEST(X0)
<=> ( cC140(X0)
& cC116(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_71) ).
fof(f73,axiom,
cTEST(iV5475),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_72) ).
fof(f75,axiom,
cowlThing(iV5475),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_74) ).
fof(f90,conjecture,
( ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& cC138(iV5475)
& cowlThing(iV5475)
& cC116(iV5475)
& cC140(iV5475) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).
fof(f91,negated_conjecture,
~ ( ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& cC138(iV5475)
& cowlThing(iV5475)
& cC116(iV5475)
& cC140(iV5475) ),
inference(negated_conjecture,[status(cth)],[f90]) ).
fof(f92,plain,
~ ( ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& cC138(iV5475)
& cowlThing(iV5475)
& cC116(iV5475)
& cC140(iV5475) ),
inference(rectify,[],[f91]) ).
fof(f93,plain,
! [X0] :
( cTEST(X0)
=> ( cC140(X0)
& cC116(X0) ) ),
inference(unused_predicate_definition_removal,[],[f72]) ).
fof(f94,plain,
! [X0] :
( ( cC140(X0)
& cC116(X0) )
| ~ cTEST(X0) ),
inference(ennf_transformation,[],[f93]) ).
fof(f99,plain,
( ? [X0] :
( ~ cowlThing(X0)
| cowlNothing(X0) )
| ? [X1] :
( xsd_string(X1)
<~> ~ xsd_integer(X1) )
| ~ cC138(iV5475)
| ~ cowlThing(iV5475)
| ~ cC116(iV5475)
| ~ cC140(iV5475) ),
inference(ennf_transformation,[],[f92]) ).
fof(f100,plain,
! [X0] :
( ( xsd_string(X0)
| xsd_integer(X0) )
& ( ~ xsd_integer(X0)
| ~ xsd_string(X0) ) ),
inference(nnf_transformation,[],[f2]) ).
fof(f160,plain,
! [X0] :
( ( cC140(X0)
| ~ cTOP(X0)
| ~ cC138(X0) )
& ( ( cTOP(X0)
& cC138(X0) )
| ~ cC140(X0) ) ),
inference(nnf_transformation,[],[f26]) ).
fof(f161,plain,
! [X0] :
( ( cC140(X0)
| ~ cTOP(X0)
| ~ cC138(X0) )
& ( ( cTOP(X0)
& cC138(X0) )
| ~ cC140(X0) ) ),
inference(flattening,[],[f160]) ).
fof(f277,plain,
( ? [X0] :
( ~ cowlThing(X0)
| cowlNothing(X0) )
| ? [X1] :
( ( xsd_integer(X1)
| ~ xsd_string(X1) )
& ( ~ xsd_integer(X1)
| xsd_string(X1) ) )
| ~ cC138(iV5475)
| ~ cowlThing(iV5475)
| ~ cC116(iV5475)
| ~ cC140(iV5475) ),
inference(nnf_transformation,[],[f99]) ).
fof(f278,plain,
( ~ cowlThing(sK38)
| cowlNothing(sK38)
| ( ( xsd_integer(sK39)
| ~ xsd_string(sK39) )
& ( ~ xsd_integer(sK39)
| xsd_string(sK39) ) )
| ~ cC138(iV5475)
| ~ cowlThing(iV5475)
| ~ cC116(iV5475)
| ~ cC140(iV5475) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK38,sK39]),skolemize(X0,sK38),skolemize(X1,sK39)],[f277]) ).
fof(f279,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f280,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f281,plain,
! [X0] :
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[],[f100]) ).
fof(f282,plain,
! [X0] :
( xsd_integer(X0)
| xsd_string(X0) ),
inference(cnf_transformation,[],[f100]) ).
fof(f352,plain,
! [X0] :
( ~ cC140(X0)
| cC138(X0) ),
inference(cnf_transformation,[],[f161]) ).
fof(f490,plain,
! [X0] :
( ~ cTEST(X0)
| cC116(X0) ),
inference(cnf_transformation,[],[f94]) ).
fof(f491,plain,
! [X0] :
( ~ cTEST(X0)
| cC140(X0) ),
inference(cnf_transformation,[],[f94]) ).
fof(f492,plain,
cTEST(iV5475),
inference(cnf_transformation,[],[f73]) ).
fof(f494,plain,
cowlThing(iV5475),
inference(cnf_transformation,[],[f75]) ).
fof(f509,plain,
( ~ cowlThing(sK38)
| cowlNothing(sK38)
| ~ xsd_integer(sK39)
| xsd_string(sK39)
| ~ cC138(iV5475)
| ~ cowlThing(iV5475)
| ~ cC116(iV5475)
| ~ cC140(iV5475) ),
inference(cnf_transformation,[],[f278]) ).
fof(f510,plain,
( ~ cowlThing(sK38)
| cowlNothing(sK38)
| xsd_integer(sK39)
| ~ xsd_string(sK39)
| ~ cC138(iV5475)
| ~ cowlThing(iV5475)
| ~ cC116(iV5475)
| ~ cC140(iV5475) ),
inference(cnf_transformation,[],[f278]) ).
fof(f512,definition,
( spl40_1
<=> cC140(iV5475) ),
introduced(definition,[new_symbols(definition,[spl40_1])],[avatar_definition]) ).
fof(f513,plain,
( cC140(iV5475)
| ~ spl40_1 ),
inference(avatar_component_clause,[],[f512]) ).
fof(f514,plain,
( ~ cC140(iV5475)
| spl40_1 ),
inference(avatar_component_clause,[],[f512]) ).
fof(f516,definition,
( spl40_2
<=> cC116(iV5475) ),
introduced(definition,[new_symbols(definition,[spl40_2])],[avatar_definition]) ).
fof(f520,definition,
( spl40_3
<=> cowlThing(iV5475) ),
introduced(definition,[new_symbols(definition,[spl40_3])],[avatar_definition]) ).
fof(f524,definition,
( spl40_4
<=> cC138(iV5475) ),
introduced(definition,[new_symbols(definition,[spl40_4])],[avatar_definition]) ).
fof(f526,plain,
( ~ cC138(iV5475)
| spl40_4 ),
inference(avatar_component_clause,[],[f524]) ).
fof(f528,definition,
( spl40_5
<=> xsd_string(sK39) ),
introduced(definition,[new_symbols(definition,[spl40_5])],[avatar_definition]) ).
fof(f529,plain,
( ~ xsd_string(sK39)
| spl40_5 ),
inference(avatar_component_clause,[],[f528]) ).
fof(f530,plain,
( xsd_string(sK39)
| ~ spl40_5 ),
inference(avatar_component_clause,[],[f528]) ).
fof(f532,definition,
( spl40_6
<=> xsd_integer(sK39) ),
introduced(definition,[new_symbols(definition,[spl40_6])],[avatar_definition]) ).
fof(f533,plain,
( xsd_integer(sK39)
| ~ spl40_6 ),
inference(avatar_component_clause,[],[f532]) ).
fof(f534,plain,
( ~ xsd_integer(sK39)
| spl40_6 ),
inference(avatar_component_clause,[],[f532]) ).
fof(f536,definition,
( spl40_7
<=> cowlNothing(sK38) ),
introduced(definition,[new_symbols(definition,[spl40_7])],[avatar_definition]) ).
fof(f538,plain,
( cowlNothing(sK38)
| ~ spl40_7 ),
inference(avatar_component_clause,[],[f536]) ).
fof(f540,definition,
( spl40_8
<=> cowlThing(sK38) ),
introduced(definition,[new_symbols(definition,[spl40_8])],[avatar_definition]) ).
fof(f542,plain,
( ~ cowlThing(sK38)
| spl40_8 ),
inference(avatar_component_clause,[],[f540]) ).
fof(f543,plain,
( ~ spl40_1
| ~ spl40_2
| ~ spl40_3
| ~ spl40_4
| spl40_5
| ~ spl40_6
| spl40_7
| ~ spl40_8 ),
inference(avatar_split_clause,[],[f509,f540,f536,f532,f528,f524,f520,f516,f512]) ).
fof(f544,plain,
( ~ spl40_1
| ~ spl40_2
| ~ spl40_3
| ~ spl40_4
| ~ spl40_5
| spl40_6
| spl40_7
| ~ spl40_8 ),
inference(avatar_split_clause,[],[f510,f540,f536,f532,f528,f524,f520,f516,f512]) ).
fof(f545,plain,
spl40_3,
inference(avatar_split_clause,[],[f494,f520]) ).
fof(f548,plain,
cC116(iV5475),
inference(resolution,[],[f490,f492]) ).
fof(f549,plain,
spl40_2,
inference(avatar_split_clause,[],[f548,f516]) ).
fof(f552,plain,
cC140(iV5475),
inference(resolution,[],[f491,f492]) ).
fof(f553,plain,
( $false
| spl40_1 ),
inference(forward_subsumption_resolution,[],[f552,f514]) ).
fof(f554,plain,
spl40_1,
inference(avatar_contradiction_clause,[],[f553]) ).
fof(f556,plain,
( cC138(iV5475)
| ~ spl40_1 ),
inference(resolution,[],[f513,f352]) ).
fof(f557,plain,
( $false
| ~ spl40_1
| spl40_4 ),
inference(forward_subsumption_resolution,[],[f556,f526]) ).
fof(f558,plain,
( ~ spl40_1
| spl40_4 ),
inference(avatar_contradiction_clause,[],[f557]) ).
fof(f559,plain,
( $false
| spl40_8 ),
inference(forward_subsumption_resolution,[],[f542,f280]) ).
fof(f560,plain,
spl40_8,
inference(avatar_contradiction_clause,[],[f559]) ).
fof(f561,plain,
( xsd_string(sK39)
| spl40_6 ),
inference(resolution,[],[f534,f282]) ).
fof(f562,plain,
( $false
| spl40_5
| spl40_6 ),
inference(forward_subsumption_resolution,[],[f561,f529]) ).
fof(f563,plain,
( spl40_5
| spl40_6 ),
inference(avatar_contradiction_clause,[],[f562]) ).
fof(f564,plain,
( ~ xsd_string(sK39)
| ~ spl40_6 ),
inference(resolution,[],[f533,f281]) ).
fof(f565,plain,
( $false
| ~ spl40_5
| ~ spl40_6 ),
inference(forward_subsumption_resolution,[],[f564,f530]) ).
fof(f566,plain,
( ~ spl40_5
| ~ spl40_6 ),
inference(avatar_contradiction_clause,[],[f565]) ).
fof(f567,plain,
( $false
| ~ spl40_7 ),
inference(forward_subsumption_resolution,[],[f538,f279]) ).
fof(f568,plain,
~ spl40_7,
inference(avatar_contradiction_clause,[],[f567]) ).
cnf(s1,plain,
( ~ spl40_1
| ~ spl40_2
| ~ spl40_3
| ~ spl40_4
| spl40_5
| ~ spl40_6
| spl40_7
| ~ spl40_8 ),
inference(sat_conversion,[],[f543]) ).
cnf(s2,plain,
( ~ spl40_1
| ~ spl40_2
| ~ spl40_3
| ~ spl40_4
| ~ spl40_5
| spl40_6
| spl40_7
| ~ spl40_8 ),
inference(sat_conversion,[],[f544]) ).
cnf(s3,plain,
spl40_3,
inference(sat_conversion,[],[f545]) ).
cnf(s4,plain,
spl40_2,
inference(sat_conversion,[],[f549]) ).
cnf(s5,plain,
spl40_1,
inference(sat_conversion,[],[f554]) ).
cnf(s6,plain,
( ~ spl40_1
| spl40_4 ),
inference(sat_conversion,[],[f558]) ).
cnf(s7,plain,
spl40_8,
inference(sat_conversion,[],[f560]) ).
cnf(s8,plain,
( spl40_5
| spl40_6 ),
inference(sat_conversion,[],[f563]) ).
cnf(s9,plain,
( ~ spl40_5
| ~ spl40_6 ),
inference(sat_conversion,[],[f566]) ).
cnf(s10,plain,
~ spl40_7,
inference(sat_conversion,[],[f568]) ).
cnf(s11,plain,
spl40_4,
inference(rat,[],[s6,s5]) ).
cnf(s12,plain,
( ~ spl40_5
| spl40_6 ),
inference(rat,[],[s2,s7,s10,s11,s3,s4,s5]) ).
cnf(s13,plain,
( spl40_5
| ~ spl40_6 ),
inference(rat,[],[s1,s7,s10,s11,s3,s4,s5]) ).
cnf(s14,plain,
spl40_5,
inference(rat,[],[s13,s8]) ).
cnf(s15,plain,
~ spl40_6,
inference(rat,[],[s9,s14]) ).
cnf(s16,plain,
$false,
inference(rat,[],[s12,s15,s14]) ).
fof(f569,plain,
$false,
inference(avatar_sat_refutation,[],[s16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS148+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n020.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 13:30:50 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41 Running first-order model finding
% 0.11/0.41 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
% 0.18/0.47 % (3386959)Will run a generic schedule for satisfiability detection.
% 0.18/0.47 % (3386969)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3124609530:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/0.47 % (3386965)% WARNING: option uhcvi not known.
% 0.18/0.47 % (3386969) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3386959-3386969"...
% 0.18/0.47 % (3386969)...printing done.
% 0.18/0.47 % (3386969)Refutation found. Thanks to Tanya!
% 0.18/0.47 % SZS status Theorem for theBenchmark
% 0.18/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.47 % (3386969)------------------------------
% 0.18/0.47 % (3386969)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.47 % (3386969)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.47 % (3386969)CaDiCaL version: 2.1.3
% 0.18/0.47 % (3386969)Termination reason: Refutation
% 0.18/0.47 % (3386969)Time elapsed: 0.003 s
% 0.18/0.47 % (3386969)Peak memory usage: 12 MB
% 0.18/0.47 % (3386969)Instructions burned: 9 (million)
% 0.18/0.47 % (3386959)Success in time 0.044 s
% 0.18/0.47 % Vampire exiting
%------------------------------------------------------------------------------