%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : KRS141+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 : n005.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 11:42:22 AM UTC 2026
% Result : Theorem 0.09s 0.44s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 13
% Syntax : Number of formulae : 73 ( 24 unt; 6 def)
% Number of atoms : 189 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 200 ( 84 ~; 87 |; 16 &)
% ( 10 <=>; 2 =>; 0 <=; 1 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 14 ( 13 usr; 7 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 30 ( 0 sgn 26 !; 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(f3,axiom,
! [X0] :
( cr(X0)
=> ! [X1] :
( rp(X0,X1)
=> cc(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f4,axiom,
cr(ii),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f6,axiom,
rp(ii,io),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(f7,axiom,
cowlThing(io),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
fof(f8,conjecture,
( ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& cc(io)
& cowlThing(io) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).
fof(f9,negated_conjecture,
~ ( ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& cc(io)
& cowlThing(io) ),
inference(negated_conjecture,[status(cth)],[f8]) ).
fof(f10,plain,
~ ( ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& cc(io)
& cowlThing(io) ),
inference(rectify,[],[f9]) ).
fof(f11,plain,
! [X0] :
( ! [X1] :
( cc(X1)
| ~ rp(X0,X1) )
| ~ cr(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f12,plain,
( ? [X0] :
( ~ cowlThing(X0)
| cowlNothing(X0) )
| ? [X1] :
( xsd_string(X1)
<~> ~ xsd_integer(X1) )
| ~ cc(io)
| ~ cowlThing(io) ),
inference(ennf_transformation,[],[f10]) ).
fof(f13,plain,
! [X0] :
( ( xsd_string(X0)
| xsd_integer(X0) )
& ( ~ xsd_integer(X0)
| ~ xsd_string(X0) ) ),
inference(nnf_transformation,[],[f2]) ).
fof(f14,plain,
( ? [X0] :
( ~ cowlThing(X0)
| cowlNothing(X0) )
| ? [X1] :
( ( xsd_integer(X1)
| ~ xsd_string(X1) )
& ( ~ xsd_integer(X1)
| xsd_string(X1) ) )
| ~ cc(io)
| ~ cowlThing(io) ),
inference(nnf_transformation,[],[f12]) ).
fof(f15,plain,
( ~ cowlThing(sK0)
| cowlNothing(sK0)
| ( ( xsd_integer(sK1)
| ~ xsd_string(sK1) )
& ( ~ xsd_integer(sK1)
| xsd_string(sK1) ) )
| ~ cc(io)
| ~ cowlThing(io) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f14]) ).
fof(f16,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f17,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f18,plain,
! [X0] :
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[],[f13]) ).
fof(f19,plain,
! [X0] :
( xsd_string(X0)
| xsd_integer(X0) ),
inference(cnf_transformation,[],[f13]) ).
fof(f20,plain,
! [X0,X1] :
( cc(X1)
| ~ rp(X0,X1)
| ~ cr(X0) ),
inference(cnf_transformation,[],[f11]) ).
fof(f21,plain,
cr(ii),
inference(cnf_transformation,[],[f4]) ).
fof(f23,plain,
rp(ii,io),
inference(cnf_transformation,[],[f6]) ).
fof(f24,plain,
cowlThing(io),
inference(cnf_transformation,[],[f7]) ).
fof(f25,plain,
( ~ cowlThing(sK0)
| cowlNothing(sK0)
| ~ xsd_integer(sK1)
| xsd_string(sK1)
| ~ cc(io)
| ~ cowlThing(io) ),
inference(cnf_transformation,[],[f15]) ).
fof(f26,plain,
( ~ cowlThing(sK0)
| cowlNothing(sK0)
| xsd_integer(sK1)
| ~ xsd_string(sK1)
| ~ cc(io)
| ~ cowlThing(io) ),
inference(cnf_transformation,[],[f15]) ).
fof(f27,plain,
! [X0] : ~ cowlThing(X0),
inference(consistent_polarity_flipping,[],[f17]) ).
fof(f28,plain,
! [X0] : cowlNothing(X0),
inference(consistent_polarity_flipping,[],[f16]) ).
fof(f29,plain,
! [X0] :
( xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(consistent_polarity_flipping,[],[f19]) ).
fof(f30,plain,
! [X0] :
( ~ xsd_integer(X0)
| xsd_string(X0) ),
inference(consistent_polarity_flipping,[],[f18]) ).
fof(f31,plain,
! [X0,X1] :
( cc(X1)
| ~ rp(X0,X1)
| cr(X0) ),
inference(consistent_polarity_flipping,[],[f20]) ).
fof(f32,plain,
~ cr(ii),
inference(consistent_polarity_flipping,[],[f21]) ).
fof(f34,plain,
~ cowlThing(io),
inference(consistent_polarity_flipping,[],[f24]) ).
fof(f35,plain,
( cowlThing(sK0)
| ~ cowlNothing(sK0)
| xsd_integer(sK1)
| xsd_string(sK1)
| ~ cc(io)
| cowlThing(io) ),
inference(consistent_polarity_flipping,[],[f26]) ).
fof(f36,plain,
( cowlThing(sK0)
| ~ cowlNothing(sK0)
| ~ xsd_integer(sK1)
| ~ xsd_string(sK1)
| ~ cc(io)
| cowlThing(io) ),
inference(consistent_polarity_flipping,[],[f25]) ).
fof(f38,definition,
( spl2_1
<=> cowlThing(io) ),
introduced(definition,[new_symbols(definition,[spl2_1])],[avatar_definition]) ).
fof(f42,definition,
( spl2_2
<=> cc(io) ),
introduced(definition,[new_symbols(definition,[spl2_2])],[avatar_definition]) ).
fof(f44,plain,
( ~ cc(io)
| spl2_2 ),
inference(avatar_component_clause,[],[f42]) ).
fof(f46,definition,
( spl2_3
<=> xsd_string(sK1) ),
introduced(definition,[new_symbols(definition,[spl2_3])],[avatar_definition]) ).
fof(f50,definition,
( spl2_4
<=> xsd_integer(sK1) ),
introduced(definition,[new_symbols(definition,[spl2_4])],[avatar_definition]) ).
fof(f51,plain,
( xsd_integer(sK1)
| ~ spl2_4 ),
inference(avatar_component_clause,[],[f50]) ).
fof(f52,plain,
( ~ xsd_integer(sK1)
| spl2_4 ),
inference(avatar_component_clause,[],[f50]) ).
fof(f54,definition,
( spl2_5
<=> cowlNothing(sK0) ),
introduced(definition,[new_symbols(definition,[spl2_5])],[avatar_definition]) ).
fof(f56,plain,
( ~ cowlNothing(sK0)
| spl2_5 ),
inference(avatar_component_clause,[],[f54]) ).
fof(f58,definition,
( spl2_6
<=> cowlThing(sK0) ),
introduced(definition,[new_symbols(definition,[spl2_6])],[avatar_definition]) ).
fof(f60,plain,
( cowlThing(sK0)
| ~ spl2_6 ),
inference(avatar_component_clause,[],[f58]) ).
fof(f61,plain,
( spl2_1
| ~ spl2_2
| ~ spl2_3
| ~ spl2_4
| ~ spl2_5
| spl2_6 ),
inference(avatar_split_clause,[],[f36,f58,f54,f50,f46,f42,f38]) ).
fof(f62,plain,
( spl2_1
| ~ spl2_2
| spl2_3
| spl2_4
| ~ spl2_5
| spl2_6 ),
inference(avatar_split_clause,[],[f35,f58,f54,f50,f46,f42,f38]) ).
fof(f63,plain,
~ spl2_1,
inference(avatar_split_clause,[],[f34,f38]) ).
fof(f64,plain,
( $false
| spl2_5 ),
inference(resolution,[],[f28,f56]) ).
fof(f65,plain,
spl2_5,
inference(avatar_contradiction_clause,[],[f64]) ).
fof(f66,plain,
( ~ xsd_string(sK1)
| spl2_4 ),
inference(resolution,[],[f29,f52]) ).
fof(f68,plain,
( ! [X0] :
( ~ rp(X0,io)
| cr(X0) )
| spl2_2 ),
inference(resolution,[],[f31,f44]) ).
fof(f69,plain,
( cr(ii)
| spl2_2 ),
inference(resolution,[],[f68,f23]) ).
fof(f70,plain,
( $false
| spl2_2 ),
inference(resolution,[],[f69,f32]) ).
fof(f71,plain,
spl2_2,
inference(avatar_contradiction_clause,[],[f70]) ).
fof(f72,plain,
( $false
| ~ spl2_6 ),
inference(resolution,[],[f60,f27]) ).
fof(f73,plain,
~ spl2_6,
inference(avatar_contradiction_clause,[],[f72]) ).
fof(f74,plain,
( xsd_string(sK1)
| ~ spl2_4 ),
inference(resolution,[],[f51,f30]) ).
fof(f75,plain,
( spl2_3
| ~ spl2_4 ),
inference(avatar_split_clause,[],[f74,f50,f46]) ).
fof(f76,plain,
( ~ spl2_3
| spl2_4 ),
inference(avatar_split_clause,[],[f66,f50,f46]) ).
cnf(s1,plain,
( spl2_1
| ~ spl2_2
| ~ spl2_3
| ~ spl2_4
| ~ spl2_5
| spl2_6 ),
inference(sat_conversion,[],[f61]) ).
cnf(s2,plain,
( spl2_1
| ~ spl2_2
| spl2_3
| spl2_4
| ~ spl2_5
| spl2_6 ),
inference(sat_conversion,[],[f62]) ).
cnf(s3,plain,
~ spl2_1,
inference(sat_conversion,[],[f63]) ).
cnf(s4,plain,
spl2_5,
inference(sat_conversion,[],[f65]) ).
cnf(s5,plain,
spl2_2,
inference(sat_conversion,[],[f71]) ).
cnf(s6,plain,
~ spl2_6,
inference(sat_conversion,[],[f73]) ).
cnf(s7,plain,
( spl2_3
| ~ spl2_4 ),
inference(sat_conversion,[],[f75]) ).
cnf(s8,plain,
( ~ spl2_3
| spl2_4 ),
inference(sat_conversion,[],[f76]) ).
cnf(s9,plain,
( spl2_3
| spl2_4 ),
inference(rat,[],[s2,s6,s4,s5,s3]) ).
cnf(s10,plain,
( ~ spl2_3
| ~ spl2_4 ),
inference(rat,[],[s1,s6,s4,s5,s3]) ).
cnf(s11,plain,
spl2_3,
inference(rat,[],[s9,s7]) ).
cnf(s12,plain,
spl2_4,
inference(rat,[],[s8,s11]) ).
cnf(s13,plain,
$false,
inference(rat,[],[s10,s12,s11]) ).
fof(f77,plain,
$false,
inference(avatar_sat_refutation,[],[s13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS141+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.37 % Computer : n005.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 13:28:05 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.40 Running first-order model finding
% 0.09/0.40 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
% 0.09/0.44 % (3989733)Will run a generic schedule for satisfiability detection.
% 0.09/0.44 % (3989744)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1316233501:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.09/0.44 % (3989744) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3989733-3989744"...
% 0.09/0.44 % (3989744)...printing done.
% 0.09/0.44 % (3989739)% WARNING: option uhcvi not known.
% 0.09/0.44 % (3989744)Refutation found. Thanks to Tanya!
% 0.09/0.44 % SZS status Theorem for theBenchmark
% 0.09/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.44 % (3989744)------------------------------
% 0.09/0.44 % (3989744)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.44 % (3989744)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.44 % (3989744)CaDiCaL version: 2.1.3
% 0.09/0.44 % (3989744)Termination reason: Refutation
% 0.09/0.44 % (3989744)Time elapsed: 0.001 s
% 0.09/0.44 % (3989744)Peak memory usage: 12 MB
% 0.09/0.44 % (3989744)Instructions burned: 2 (million)
% 0.09/0.44 % (3989733)Success in time 0.026 s
% 0.09/0.44 % Vampire exiting
%------------------------------------------------------------------------------