%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : KRS130+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 11:42:20 AM UTC 2026
% Result : Theorem 0.11s 0.45s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 11
% Syntax : Number of formulae : 70 ( 13 unt; 6 def)
% Number of atoms : 193 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 204 ( 81 ~; 91 |; 15 &)
% ( 13 <=>; 2 =>; 0 <=; 2 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 13 ( 12 usr; 7 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 40 ( 0 sgn 31 !; 9 ?)
% 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(f3,axiom,
! [X0] :
( cNothing(X0)
=> ~ ? [X1] : rp(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f4,axiom,
! [X0] :
( cNothing(X0)
=> ? [X1] : rp(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f5,conjecture,
( ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& ! [X0] :
( cNothing(X0)
<=> cowlNothing(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).
fof(f6,negated_conjecture,
~ ( ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& ! [X0] :
( cNothing(X0)
<=> cowlNothing(X0) ) ),
inference(negated_conjecture,[status(cth)],[f5]) ).
fof(f7,plain,
~ ( ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& ! [X2] :
( cNothing(X2)
<=> cowlNothing(X2) ) ),
inference(rectify,[],[f6]) ).
fof(f8,plain,
! [X0] :
( ! [X1] : ~ rp(X0,X1)
| ~ cNothing(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f9,plain,
! [X0] :
( ? [X1] : rp(X0,X1)
| ~ cNothing(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f10,plain,
( ? [X0] :
( ~ cowlThing(X0)
| cowlNothing(X0) )
| ? [X1] :
( xsd_string(X1)
<~> ~ xsd_integer(X1) )
| ? [X2] :
( cNothing(X2)
<~> cowlNothing(X2) ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f11,plain,
! [X0] :
( ( xsd_string(X0)
| xsd_integer(X0) )
& ( ~ xsd_integer(X0)
| ~ xsd_string(X0) ) ),
inference(nnf_transformation,[],[f2]) ).
fof(f12,plain,
! [X0] :
( rp(X0,sK0(X0))
| ~ cNothing(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X1,sK0(X0))],[f9]) ).
fof(f13,plain,
( ? [X0] :
( ~ cowlThing(X0)
| cowlNothing(X0) )
| ? [X1] :
( ( xsd_integer(X1)
| ~ xsd_string(X1) )
& ( ~ xsd_integer(X1)
| xsd_string(X1) ) )
| ? [X2] :
( ( ~ cowlNothing(X2)
| ~ cNothing(X2) )
& ( cowlNothing(X2)
| cNothing(X2) ) ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f14,plain,
( ~ cowlThing(sK1)
| cowlNothing(sK1)
| ( ( xsd_integer(sK2)
| ~ xsd_string(sK2) )
& ( ~ xsd_integer(sK2)
| xsd_string(sK2) ) )
| ( ( ~ cowlNothing(sK3)
| ~ cNothing(sK3) )
& ( cowlNothing(sK3)
| cNothing(sK3) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3]),skolemize(X0,sK1),skolemize(X1,sK2),skolemize(X2,sK3)],[f13]) ).
fof(f15,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f16,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f17,plain,
! [X0] :
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[],[f11]) ).
fof(f18,plain,
! [X0] :
( xsd_string(X0)
| xsd_integer(X0) ),
inference(cnf_transformation,[],[f11]) ).
fof(f19,plain,
! [X0,X1] :
( ~ rp(X0,X1)
| ~ cNothing(X0) ),
inference(cnf_transformation,[],[f8]) ).
fof(f20,plain,
! [X0] :
( rp(X0,sK0(X0))
| ~ cNothing(X0) ),
inference(cnf_transformation,[],[f12]) ).
fof(f21,plain,
( ~ cowlThing(sK1)
| cowlNothing(sK1)
| ~ xsd_integer(sK2)
| xsd_string(sK2)
| cowlNothing(sK3)
| cNothing(sK3) ),
inference(cnf_transformation,[],[f14]) ).
fof(f23,plain,
( ~ cowlThing(sK1)
| cowlNothing(sK1)
| xsd_integer(sK2)
| ~ xsd_string(sK2)
| cowlNothing(sK3)
| cNothing(sK3) ),
inference(cnf_transformation,[],[f14]) ).
fof(f25,plain,
! [X0] :
( xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(consistent_polarity_flipping,[],[f18]) ).
fof(f26,plain,
! [X0] :
( ~ xsd_integer(X0)
| xsd_string(X0) ),
inference(consistent_polarity_flipping,[],[f17]) ).
fof(f27,plain,
! [X0,X1] :
( cNothing(X0)
| ~ rp(X0,X1) ),
inference(consistent_polarity_flipping,[],[f19]) ).
fof(f28,plain,
! [X0] :
( rp(X0,sK0(X0))
| cNothing(X0) ),
inference(consistent_polarity_flipping,[],[f20]) ).
fof(f30,plain,
( ~ cowlThing(sK1)
| cowlNothing(sK1)
| xsd_integer(sK2)
| xsd_string(sK2)
| cowlNothing(sK3)
| ~ cNothing(sK3) ),
inference(consistent_polarity_flipping,[],[f23]) ).
fof(f32,plain,
( ~ cowlThing(sK1)
| cowlNothing(sK1)
| ~ xsd_integer(sK2)
| ~ xsd_string(sK2)
| cowlNothing(sK3)
| ~ cNothing(sK3) ),
inference(consistent_polarity_flipping,[],[f21]) ).
fof(f34,definition,
( spl4_1
<=> cNothing(sK3) ),
introduced(definition,[new_symbols(definition,[spl4_1])],[avatar_definition]) ).
fof(f36,plain,
( ~ cNothing(sK3)
| spl4_1 ),
inference(avatar_component_clause,[],[f34]) ).
fof(f38,definition,
( spl4_2
<=> cowlNothing(sK3) ),
introduced(definition,[new_symbols(definition,[spl4_2])],[avatar_definition]) ).
fof(f40,plain,
( cowlNothing(sK3)
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f38]) ).
fof(f42,definition,
( spl4_3
<=> xsd_string(sK2) ),
introduced(definition,[new_symbols(definition,[spl4_3])],[avatar_definition]) ).
fof(f46,definition,
( spl4_4
<=> xsd_integer(sK2) ),
introduced(definition,[new_symbols(definition,[spl4_4])],[avatar_definition]) ).
fof(f47,plain,
( xsd_integer(sK2)
| ~ spl4_4 ),
inference(avatar_component_clause,[],[f46]) ).
fof(f48,plain,
( ~ xsd_integer(sK2)
| spl4_4 ),
inference(avatar_component_clause,[],[f46]) ).
fof(f50,definition,
( spl4_5
<=> cowlNothing(sK1) ),
introduced(definition,[new_symbols(definition,[spl4_5])],[avatar_definition]) ).
fof(f52,plain,
( cowlNothing(sK1)
| ~ spl4_5 ),
inference(avatar_component_clause,[],[f50]) ).
fof(f54,definition,
( spl4_6
<=> cowlThing(sK1) ),
introduced(definition,[new_symbols(definition,[spl4_6])],[avatar_definition]) ).
fof(f56,plain,
( ~ cowlThing(sK1)
| spl4_6 ),
inference(avatar_component_clause,[],[f54]) ).
fof(f57,plain,
( ~ spl4_1
| spl4_2
| ~ spl4_3
| ~ spl4_4
| spl4_5
| ~ spl4_6 ),
inference(avatar_split_clause,[],[f32,f54,f50,f46,f42,f38,f34]) ).
fof(f59,plain,
( ~ spl4_1
| spl4_2
| spl4_3
| spl4_4
| spl4_5
| ~ spl4_6 ),
inference(avatar_split_clause,[],[f30,f54,f50,f46,f42,f38,f34]) ).
fof(f61,plain,
( $false
| spl4_6 ),
inference(resolution,[],[f16,f56]) ).
fof(f62,plain,
spl4_6,
inference(avatar_contradiction_clause,[],[f61]) ).
fof(f63,plain,
( ~ xsd_string(sK2)
| spl4_4 ),
inference(resolution,[],[f25,f48]) ).
fof(f65,plain,
( ! [X0] : ~ rp(sK3,X0)
| spl4_1 ),
inference(resolution,[],[f27,f36]) ).
fof(f66,plain,
( cNothing(sK3)
| spl4_1 ),
inference(resolution,[],[f28,f65]) ).
fof(f67,plain,
( spl4_1
| spl4_1 ),
inference(avatar_split_clause,[],[f66,f34,f34]) ).
fof(f68,plain,
( xsd_string(sK2)
| ~ spl4_4 ),
inference(resolution,[],[f47,f26]) ).
fof(f69,plain,
( spl4_3
| ~ spl4_4 ),
inference(avatar_split_clause,[],[f68,f46,f42]) ).
fof(f70,plain,
( $false
| ~ spl4_5 ),
inference(resolution,[],[f52,f15]) ).
fof(f71,plain,
~ spl4_5,
inference(avatar_contradiction_clause,[],[f70]) ).
fof(f72,plain,
( $false
| ~ spl4_2 ),
inference(resolution,[],[f40,f15]) ).
fof(f73,plain,
~ spl4_2,
inference(avatar_contradiction_clause,[],[f72]) ).
fof(f74,plain,
( ~ spl4_3
| spl4_4 ),
inference(avatar_split_clause,[],[f63,f46,f42]) ).
cnf(s1,plain,
( ~ spl4_1
| spl4_2
| ~ spl4_3
| ~ spl4_4
| spl4_5
| ~ spl4_6 ),
inference(sat_conversion,[],[f57]) ).
cnf(s3,plain,
( ~ spl4_1
| spl4_2
| spl4_3
| spl4_4
| spl4_5
| ~ spl4_6 ),
inference(sat_conversion,[],[f59]) ).
cnf(s5,plain,
spl4_6,
inference(sat_conversion,[],[f62]) ).
cnf(s6,plain,
( spl4_1
| spl4_1 ),
inference(sat_conversion,[],[f67]) ).
cnf(s7,plain,
spl4_1,
inference(rat,[],[s6]) ).
cnf(s8,plain,
( spl4_3
| ~ spl4_4 ),
inference(sat_conversion,[],[f69]) ).
cnf(s9,plain,
~ spl4_5,
inference(sat_conversion,[],[f71]) ).
cnf(s10,plain,
~ spl4_2,
inference(sat_conversion,[],[f73]) ).
cnf(s11,plain,
( ~ spl4_3
| spl4_4 ),
inference(sat_conversion,[],[f74]) ).
cnf(s12,plain,
( spl4_3
| spl4_4 ),
inference(rat,[],[s3,s5,s9,s10,s7]) ).
cnf(s13,plain,
( ~ spl4_3
| ~ spl4_4 ),
inference(rat,[],[s1,s5,s9,s10,s7]) ).
cnf(s14,plain,
spl4_3,
inference(rat,[],[s12,s8]) ).
cnf(s15,plain,
spl4_4,
inference(rat,[],[s11,s14]) ).
cnf(s16,plain,
$false,
inference(rat,[],[s13,s15,s14]) ).
fof(f75,plain,
$false,
inference(avatar_sat_refutation,[],[s16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS130+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.39 % Computer : n020.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 13:28:35 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.42 Running first-order model finding
% 0.11/0.42 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
% 0.11/0.45 % (3383242)Will run a generic schedule for satisfiability detection.
% 0.11/0.45 % (3383253)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4268132248:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.11/0.45 % (3383253) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3383242-3383253"...
% 0.11/0.45 % (3383253)...printing done.
% 0.11/0.45 % (3383253)Refutation found. Thanks to Tanya!
% 0.11/0.45 % SZS status Theorem for theBenchmark
% 0.11/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.46 % (3383253)------------------------------
% 0.11/0.46 % (3383253)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.11/0.46 % (3383253)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/0.46 % (3383253)CaDiCaL version: 2.1.3
% 0.11/0.46 % (3383253)Termination reason: Refutation
% 0.11/0.46 % (3383253)Time elapsed: 0.001 s
% 0.11/0.46 % (3383253)Peak memory usage: 12 MB
% 0.11/0.46 % (3383253)Instructions burned: 2 (million)
% 0.11/0.46 % (3383242)Success in time 0.028 s
% 0.11/0.46 % Vampire exiting
%------------------------------------------------------------------------------