%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : KRS164+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 : n010.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 0.14s 0.45s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 16
% Syntax : Number of formulae : 73 ( 28 unt; 8 def)
% Number of atoms : 191 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 208 ( 90 ~; 85 |; 19 &)
% ( 13 <=>; 0 =>; 0 <=; 1 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 15 ( 14 usr; 9 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 19 ( 0 sgn 17 !; 2 ?)
% 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] :
( cCar(X0)
<=> cAutomobile(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f4,axiom,
cAutomobile(iauto),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(f5,axiom,
cowlThing(iauto),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
fof(f6,axiom,
cCar(icar),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
fof(f7,axiom,
cowlThing(icar),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
fof(f8,conjecture,
( ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& cCar(iauto)
& cowlThing(iauto)
& cAutomobile(icar)
& cowlThing(icar) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).
fof(f9,negated_conjecture,
~ ( ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& cCar(iauto)
& cowlThing(iauto)
& cAutomobile(icar)
& cowlThing(icar) ),
inference(negated_conjecture,[status(cth)],[f8]) ).
fof(f10,plain,
~ ( ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& cCar(iauto)
& cowlThing(iauto)
& cAutomobile(icar)
& cowlThing(icar) ),
inference(rectify,[],[f9]) ).
fof(f11,plain,
( ? [X0] :
( ~ cowlThing(X0)
| cowlNothing(X0) )
| ? [X1] :
( xsd_string(X1)
<~> ~ xsd_integer(X1) )
| ~ cCar(iauto)
| ~ cowlThing(iauto)
| ~ cAutomobile(icar)
| ~ cowlThing(icar) ),
inference(ennf_transformation,[],[f10]) ).
fof(f12,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f13,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f14,plain,
! [X0] :
( xsd_integer(X0)
| xsd_string(X0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f15,plain,
! [X0] :
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f16,plain,
! [X0] :
( ~ cAutomobile(X0)
| cCar(X0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f17,plain,
! [X0] :
( ~ cCar(X0)
| cAutomobile(X0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f18,plain,
cAutomobile(iauto),
inference(cnf_transformation,[],[f4]) ).
fof(f19,plain,
cowlThing(iauto),
inference(cnf_transformation,[],[f5]) ).
fof(f20,plain,
cCar(icar),
inference(cnf_transformation,[],[f6]) ).
fof(f21,plain,
cowlThing(icar),
inference(cnf_transformation,[],[f7]) ).
fof(f22,plain,
( ~ cowlThing(icar)
| ~ cAutomobile(icar)
| ~ cowlThing(iauto)
| ~ cCar(iauto)
| xsd_integer(sK0)
| ~ xsd_string(sK0)
| cowlNothing(sK1)
| ~ cowlThing(sK1) ),
inference(cnf_transformation,[],[f11]) ).
fof(f23,plain,
( ~ cowlThing(icar)
| ~ cAutomobile(icar)
| ~ cowlThing(iauto)
| ~ cCar(iauto)
| ~ xsd_integer(sK0)
| xsd_string(sK0)
| cowlNothing(sK1)
| ~ cowlThing(sK1) ),
inference(cnf_transformation,[],[f11]) ).
fof(f24,plain,
! [X0] :
( xsd_integer(X0)
| xsd_string(X0) ),
inference(consistent_polarity_flipping,[],[f15]) ).
fof(f25,plain,
! [X0] :
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(consistent_polarity_flipping,[],[f14]) ).
fof(f26,plain,
( ~ cowlThing(icar)
| ~ cAutomobile(icar)
| ~ cowlThing(iauto)
| ~ cCar(iauto)
| xsd_integer(sK0)
| ~ xsd_string(sK0)
| cowlNothing(sK1)
| ~ cowlThing(sK1) ),
inference(consistent_polarity_flipping,[],[f23]) ).
fof(f27,plain,
( ~ cowlThing(icar)
| ~ cAutomobile(icar)
| ~ cowlThing(iauto)
| ~ cCar(iauto)
| ~ xsd_integer(sK0)
| xsd_string(sK0)
| cowlNothing(sK1)
| ~ cowlThing(sK1) ),
inference(consistent_polarity_flipping,[],[f22]) ).
fof(f29,definition,
( spl2_1
<=> cowlThing(sK1) ),
introduced(definition,[new_symbols(definition,[spl2_1])],[avatar_definition]) ).
fof(f31,plain,
( ~ cowlThing(sK1)
| spl2_1 ),
inference(avatar_component_clause,[],[f29]) ).
fof(f33,definition,
( spl2_2
<=> cowlNothing(sK1) ),
introduced(definition,[new_symbols(definition,[spl2_2])],[avatar_definition]) ).
fof(f35,plain,
( cowlNothing(sK1)
| ~ spl2_2 ),
inference(avatar_component_clause,[],[f33]) ).
fof(f37,definition,
( spl2_3
<=> xsd_string(sK0) ),
introduced(definition,[new_symbols(definition,[spl2_3])],[avatar_definition]) ).
fof(f39,plain,
( xsd_string(sK0)
| ~ spl2_3 ),
inference(avatar_component_clause,[],[f37]) ).
fof(f41,definition,
( spl2_4
<=> xsd_integer(sK0) ),
introduced(definition,[new_symbols(definition,[spl2_4])],[avatar_definition]) ).
fof(f42,plain,
( xsd_integer(sK0)
| ~ spl2_4 ),
inference(avatar_component_clause,[],[f41]) ).
fof(f43,plain,
( ~ xsd_integer(sK0)
| spl2_4 ),
inference(avatar_component_clause,[],[f41]) ).
fof(f45,definition,
( spl2_5
<=> cCar(iauto) ),
introduced(definition,[new_symbols(definition,[spl2_5])],[avatar_definition]) ).
fof(f49,definition,
( spl2_6
<=> cowlThing(iauto) ),
introduced(definition,[new_symbols(definition,[spl2_6])],[avatar_definition]) ).
fof(f53,definition,
( spl2_7
<=> cAutomobile(icar) ),
introduced(definition,[new_symbols(definition,[spl2_7])],[avatar_definition]) ).
fof(f57,definition,
( spl2_8
<=> cowlThing(icar) ),
introduced(definition,[new_symbols(definition,[spl2_8])],[avatar_definition]) ).
fof(f60,plain,
( ~ spl2_1
| spl2_2
| spl2_3
| ~ spl2_4
| ~ spl2_5
| ~ spl2_6
| ~ spl2_7
| ~ spl2_8 ),
inference(avatar_split_clause,[],[f27,f57,f53,f49,f45,f41,f37,f33,f29]) ).
fof(f61,plain,
( ~ spl2_1
| spl2_2
| ~ spl2_3
| spl2_4
| ~ spl2_5
| ~ spl2_6
| ~ spl2_7
| ~ spl2_8 ),
inference(avatar_split_clause,[],[f26,f57,f53,f49,f45,f41,f37,f33,f29]) ).
fof(f62,plain,
spl2_8,
inference(avatar_split_clause,[],[f21,f57]) ).
fof(f63,plain,
spl2_6,
inference(avatar_split_clause,[],[f19,f49]) ).
fof(f64,plain,
( $false
| spl2_1 ),
inference(backward_subsumption_resolution,[],[f31,f13]) ).
fof(f65,plain,
spl2_1,
inference(avatar_contradiction_clause,[],[f64]) ).
fof(f66,plain,
cCar(iauto),
inference(resolution,[],[f16,f18]) ).
fof(f67,plain,
spl2_5,
inference(avatar_split_clause,[],[f66,f45]) ).
fof(f68,plain,
cAutomobile(icar),
inference(resolution,[],[f17,f20]) ).
fof(f72,plain,
spl2_7,
inference(avatar_split_clause,[],[f68,f53]) ).
fof(f74,plain,
( xsd_string(sK0)
| spl2_4 ),
inference(resolution,[],[f24,f43]) ).
fof(f77,plain,
( $false
| ~ spl2_2 ),
inference(forward_subsumption_resolution,[],[f35,f12]) ).
fof(f78,plain,
~ spl2_2,
inference(avatar_contradiction_clause,[],[f77]) ).
fof(f79,plain,
( spl2_3
| spl2_4 ),
inference(avatar_split_clause,[],[f74,f41,f37]) ).
fof(f81,plain,
( ~ xsd_string(sK0)
| ~ spl2_4 ),
inference(resolution,[],[f25,f42]) ).
fof(f82,plain,
( $false
| ~ spl2_3
| ~ spl2_4 ),
inference(forward_subsumption_resolution,[],[f81,f39]) ).
fof(f83,plain,
( ~ spl2_3
| ~ spl2_4 ),
inference(avatar_contradiction_clause,[],[f82]) ).
cnf(s1,plain,
( ~ spl2_1
| spl2_2
| spl2_3
| ~ spl2_4
| ~ spl2_5
| ~ spl2_6
| ~ spl2_7
| ~ spl2_8 ),
inference(sat_conversion,[],[f60]) ).
cnf(s2,plain,
( ~ spl2_1
| spl2_2
| ~ spl2_3
| spl2_4
| ~ spl2_5
| ~ spl2_6
| ~ spl2_7
| ~ spl2_8 ),
inference(sat_conversion,[],[f61]) ).
cnf(s3,plain,
spl2_8,
inference(sat_conversion,[],[f62]) ).
cnf(s4,plain,
spl2_6,
inference(sat_conversion,[],[f63]) ).
cnf(s5,plain,
spl2_1,
inference(sat_conversion,[],[f65]) ).
cnf(s6,plain,
spl2_5,
inference(sat_conversion,[],[f67]) ).
cnf(s8,plain,
spl2_7,
inference(sat_conversion,[],[f72]) ).
cnf(s10,plain,
~ spl2_2,
inference(sat_conversion,[],[f78]) ).
cnf(s11,plain,
( spl2_3
| spl2_4 ),
inference(sat_conversion,[],[f79]) ).
cnf(s12,plain,
( ~ spl2_3
| ~ spl2_4 ),
inference(sat_conversion,[],[f83]) ).
cnf(s13,plain,
( ~ spl2_3
| spl2_4 ),
inference(rat,[],[s2,s3,s8,s4,s6,s10,s5]) ).
cnf(s14,plain,
( spl2_3
| ~ spl2_4 ),
inference(rat,[],[s1,s3,s8,s4,s6,s10,s5]) ).
cnf(s15,plain,
spl2_3,
inference(rat,[],[s14,s11]) ).
cnf(s16,plain,
~ spl2_4,
inference(rat,[],[s12,s15]) ).
cnf(s17,plain,
$false,
inference(rat,[],[s13,s16,s15]) ).
fof(f84,plain,
$false,
inference(avatar_sat_refutation,[],[s17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS164+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.38 % Computer : n010.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 13:33:17 UTC 2026
% 0.14/0.38 % CPUTime :
% 0.14/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.14/0.41 Running first-order model finding
% 0.14/0.41 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
% 0.14/0.45 % (971611)Will run a generic schedule for satisfiability detection.
% 0.14/0.45 % (971617)% WARNING: option uhcvi not known.
% 0.14/0.45 % (971617)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1646985849:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.14/0.45 % (971617) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-971611-971617"...
% 0.14/0.45 % (971617)...printing done.
% 0.14/0.45 % (971617)Refutation found. Thanks to Tanya!
% 0.14/0.45 % SZS status Theorem for theBenchmark
% 0.14/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.45 % (971617)------------------------------
% 0.14/0.45 % (971617)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.14/0.45 % (971617)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.14/0.45 % (971617)CaDiCaL version: 2.1.3
% 0.14/0.45 % (971617)Termination reason: Refutation
% 0.14/0.45 % (971617)Time elapsed: 0.001 s
% 0.14/0.45 % (971617)Peak memory usage: 12 MB
% 0.14/0.45 % (971617)Instructions burned: 2 (million)
% 0.14/0.45 % (971611)Success in time 0.031 s
% 0.14/0.45 % Vampire exiting
%------------------------------------------------------------------------------