%------------------------------------------------------------------------------
% File : Vampire-SAT---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 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 11:42:27 AM UTC 2026
% Result : Theorem 0.09s 0.45s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 15
% Syntax : Number of formulae : 104 ( 12 unt; 6 def)
% Number of atoms : 306 ( 12 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 339 ( 137 ~; 162 |; 19 &)
% ( 15 <=>; 4 =>; 0 <=; 2 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 7 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 71 ( 0 sgn 63 !; 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_string(X0)
| xsd_integer(X0) ),
inference(cnf_transformation,[],[f47]) ).
fof(f65,plain,
! [X0] :
( ~ cd(X0)
| rq(X0,iv) ),
inference(cnf_transformation,[],[f48]) ).
fof(f67,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] :
( ~ rp(X0,X1)
| cd(X0) ),
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] :
( ~ rq(X0,X1)
| cd(X0) ),
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(f79,definition,
( spl4_1
<=> rq(sK2,sK3) ),
introduced(definition,[new_symbols(definition,[spl4_1])],[avatar_definition]) ).
fof(f80,plain,
( ~ rq(sK2,sK3)
| spl4_1 ),
inference(avatar_component_clause,[],[f79]) ).
fof(f81,plain,
( rq(sK2,sK3)
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f79]) ).
fof(f83,definition,
( spl4_2
<=> rp(sK2,sK3) ),
introduced(definition,[new_symbols(definition,[spl4_2])],[avatar_definition]) ).
fof(f84,plain,
( ~ rp(sK2,sK3)
| spl4_2 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f85,plain,
( rp(sK2,sK3)
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f87,definition,
( spl4_3
<=> xsd_string(sK1) ),
introduced(definition,[new_symbols(definition,[spl4_3])],[avatar_definition]) ).
fof(f88,plain,
( ~ xsd_string(sK1)
| spl4_3 ),
inference(avatar_component_clause,[],[f87]) ).
fof(f89,plain,
( xsd_string(sK1)
| ~ spl4_3 ),
inference(avatar_component_clause,[],[f87]) ).
fof(f91,definition,
( spl4_4
<=> xsd_integer(sK1) ),
introduced(definition,[new_symbols(definition,[spl4_4])],[avatar_definition]) ).
fof(f92,plain,
( xsd_integer(sK1)
| ~ spl4_4 ),
inference(avatar_component_clause,[],[f91]) ).
fof(f93,plain,
( ~ xsd_integer(sK1)
| spl4_4 ),
inference(avatar_component_clause,[],[f91]) ).
fof(f95,definition,
( spl4_5
<=> cowlNothing(sK0) ),
introduced(definition,[new_symbols(definition,[spl4_5])],[avatar_definition]) ).
fof(f97,plain,
( cowlNothing(sK0)
| ~ spl4_5 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f99,definition,
( spl4_6
<=> cowlThing(sK0) ),
introduced(definition,[new_symbols(definition,[spl4_6])],[avatar_definition]) ).
fof(f101,plain,
( ~ cowlThing(sK0)
| spl4_6 ),
inference(avatar_component_clause,[],[f99]) ).
fof(f102,plain,
( spl4_1
| spl4_2
| spl4_3
| ~ spl4_4
| spl4_5
| ~ spl4_6 ),
inference(avatar_split_clause,[],[f74,f99,f95,f91,f87,f83,f79]) ).
fof(f103,plain,
( ~ spl4_1
| ~ spl4_2
| spl4_3
| ~ spl4_4
| spl4_5
| ~ spl4_6 ),
inference(avatar_split_clause,[],[f75,f99,f95,f91,f87,f83,f79]) ).
fof(f104,plain,
( spl4_1
| spl4_2
| ~ spl4_3
| spl4_4
| spl4_5
| ~ spl4_6 ),
inference(avatar_split_clause,[],[f76,f99,f95,f91,f87,f83,f79]) ).
fof(f105,plain,
( ~ spl4_1
| ~ spl4_2
| ~ spl4_3
| spl4_4
| spl4_5
| ~ spl4_6 ),
inference(avatar_split_clause,[],[f77,f99,f95,f91,f87,f83,f79]) ).
fof(f106,plain,
( $false
| spl4_6 ),
inference(forward_subsumption_resolution,[],[f101,f62]) ).
fof(f107,plain,
spl4_6,
inference(avatar_contradiction_clause,[],[f106]) ).
fof(f108,plain,
( xsd_integer(sK1)
| spl4_3 ),
inference(resolution,[],[f64,f88]) ).
fof(f110,plain,
( $false
| spl4_3
| spl4_4 ),
inference(forward_subsumption_resolution,[],[f108,f93]) ).
fof(f111,plain,
( spl4_3
| spl4_4 ),
inference(avatar_contradiction_clause,[],[f110]) ).
fof(f112,plain,
( $false
| ~ spl4_5 ),
inference(forward_subsumption_resolution,[],[f97,f61]) ).
fof(f113,plain,
~ spl4_5,
inference(avatar_contradiction_clause,[],[f112]) ).
fof(f114,plain,
( cd(sK2)
| ~ spl4_1 ),
inference(resolution,[],[f72,f81]) ).
fof(f116,plain,
( rp(sK2,iv)
| ~ spl4_1 ),
inference(resolution,[],[f114,f67]) ).
fof(f117,plain,
( rq(sK2,iv)
| ~ spl4_1 ),
inference(resolution,[],[f114,f65]) ).
fof(f134,plain,
( ! [X0] :
( ~ rq(sK2,X0)
| sK3 = X0 )
| ~ spl4_1 ),
inference(resolution,[],[f71,f81]) ).
fof(f137,plain,
( iv = sK3
| ~ spl4_1 ),
inference(resolution,[],[f134,f117]) ).
fof(f140,plain,
( ~ rp(sK2,iv)
| ~ spl4_1
| spl4_2 ),
inference(superposition,[],[f84,f137]) ).
fof(f142,plain,
( $false
| ~ spl4_1
| spl4_2 ),
inference(forward_subsumption_resolution,[],[f140,f116]) ).
fof(f143,plain,
( ~ spl4_1
| spl4_2 ),
inference(avatar_contradiction_clause,[],[f142]) ).
fof(f146,plain,
( ~ xsd_integer(sK1)
| ~ spl4_3 ),
inference(resolution,[],[f89,f63]) ).
fof(f147,plain,
( $false
| ~ spl4_3
| ~ spl4_4 ),
inference(forward_subsumption_resolution,[],[f146,f92]) ).
fof(f148,plain,
( ~ spl4_3
| ~ spl4_4 ),
inference(avatar_contradiction_clause,[],[f147]) ).
fof(f150,plain,
( ! [X0] :
( ~ rp(sK2,X0)
| sK3 = X0 )
| ~ spl4_2 ),
inference(resolution,[],[f85,f69]) ).
fof(f153,plain,
( cd(sK2)
| ~ spl4_2 ),
inference(resolution,[],[f85,f70]) ).
fof(f155,plain,
( rp(sK2,iv)
| ~ spl4_2 ),
inference(resolution,[],[f153,f67]) ).
fof(f156,plain,
( rq(sK2,iv)
| ~ spl4_2 ),
inference(resolution,[],[f153,f65]) ).
fof(f162,plain,
( iv = sK3
| ~ spl4_2 ),
inference(resolution,[],[f150,f155]) ).
fof(f170,plain,
( ~ rq(sK2,iv)
| spl4_1
| ~ spl4_2 ),
inference(superposition,[],[f80,f162]) ).
fof(f171,plain,
( $false
| spl4_1
| ~ spl4_2 ),
inference(forward_subsumption_resolution,[],[f170,f156]) ).
fof(f172,plain,
( spl4_1
| ~ spl4_2 ),
inference(avatar_contradiction_clause,[],[f171]) ).
cnf(s1,plain,
( spl4_1
| spl4_2
| spl4_3
| ~ spl4_4
| spl4_5
| ~ spl4_6 ),
inference(sat_conversion,[],[f102]) ).
cnf(s2,plain,
( ~ spl4_1
| ~ spl4_2
| spl4_3
| ~ spl4_4
| spl4_5
| ~ spl4_6 ),
inference(sat_conversion,[],[f103]) ).
cnf(s3,plain,
( spl4_1
| spl4_2
| ~ spl4_3
| spl4_4
| spl4_5
| ~ spl4_6 ),
inference(sat_conversion,[],[f104]) ).
cnf(s4,plain,
( ~ spl4_1
| ~ spl4_2
| ~ spl4_3
| spl4_4
| spl4_5
| ~ spl4_6 ),
inference(sat_conversion,[],[f105]) ).
cnf(s5,plain,
spl4_6,
inference(sat_conversion,[],[f107]) ).
cnf(s6,plain,
( spl4_3
| spl4_4 ),
inference(sat_conversion,[],[f111]) ).
cnf(s7,plain,
~ spl4_5,
inference(sat_conversion,[],[f113]) ).
cnf(s8,plain,
( ~ spl4_1
| spl4_2 ),
inference(sat_conversion,[],[f143]) ).
cnf(s9,plain,
( ~ spl4_3
| ~ spl4_4 ),
inference(sat_conversion,[],[f148]) ).
cnf(s10,plain,
( spl4_1
| ~ spl4_2 ),
inference(sat_conversion,[],[f172]) ).
cnf(s11,plain,
( ~ spl4_1
| ~ spl4_2
| ~ spl4_3
| spl4_4 ),
inference(rat,[],[s4,s5,s7]) ).
cnf(s12,plain,
( spl4_1
| spl4_2
| ~ spl4_3
| spl4_4 ),
inference(rat,[],[s3,s5,s7]) ).
cnf(s13,plain,
( ~ spl4_1
| ~ spl4_2
| spl4_3
| ~ spl4_4 ),
inference(rat,[],[s2,s5,s7]) ).
cnf(s14,plain,
( spl4_1
| spl4_2
| spl4_3
| ~ spl4_4 ),
inference(rat,[],[s1,s5,s7]) ).
cnf(s15,plain,
( spl4_3
| spl4_1 ),
inference(rat,[],[s14,s6,s10]) ).
cnf(s16,plain,
spl4_1,
inference(rat,[],[s12,s9,s15,s10]) ).
cnf(s17,plain,
spl4_2,
inference(rat,[],[s8,s16]) ).
cnf(s18,plain,
spl4_3,
inference(rat,[],[s13,s6,s16,s17]) ).
cnf(s19,plain,
~ spl4_4,
inference(rat,[],[s9,s18]) ).
cnf(s20,plain,
$false,
inference(rat,[],[s11,s17,s16,s19,s18]) ).
fof(f173,plain,
$false,
inference(avatar_sat_refutation,[],[s20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % 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 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 13:33:45 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.40 Running first-order model finding
% 0.09/0.40 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
% 0.09/0.45 % (2041176)Will run a generic schedule for satisfiability detection.
% 0.09/0.45 % (2041186)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4051158020:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.09/0.45 % (2041186) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2041176-2041186"...
% 0.09/0.45 % (2041182)% WARNING: option uhcvi not known.
% 0.09/0.45 % (2041186)...printing done.
% 0.09/0.45 % (2041186)Refutation found. Thanks to Tanya!
% 0.09/0.45 % SZS status Theorem for theBenchmark
% 0.09/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.45 % (2041186)------------------------------
% 0.09/0.45 % (2041186)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.45 % (2041186)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.45 % (2041186)CaDiCaL version: 2.1.3
% 0.09/0.45 % (2041186)Termination reason: Refutation
% 0.09/0.45 % (2041186)Time elapsed: 0.002 s
% 0.09/0.45 % (2041186)Peak memory usage: 12 MB
% 0.09/0.45 % (2041186)Instructions burned: 4 (million)
% 0.09/0.45 % (2041176)Success in time 0.04 s
% 0.09/0.45 % Vampire exiting
%------------------------------------------------------------------------------