%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : KRS163+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 : n013.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 0.16s 0.46s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 15
% Syntax : Number of formulae : 78 ( 28 unt; 7 def)
% Number of atoms : 190 ( 10 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 200 ( 88 ~; 83 |; 17 &)
% ( 11 <=>; 0 =>; 0 <=; 1 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 8 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 21 ( 0 sgn 19 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).
fof(f8,axiom,
! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
fof(f9,axiom,
cA(ia),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f10,axiom,
cowlThing(ia),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(f11,axiom,
cB(ib),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
fof(f12,axiom,
cowlThing(ib),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
fof(f13,axiom,
! [X0] :
~ ( cB(X0)
& cA(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
fof(f14,conjecture,
( ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& cowlThing(ia)
& cowlThing(ib)
& ia != ib ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).
fof(f15,negated_conjecture,
~ ( ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& cowlThing(ia)
& cowlThing(ib)
& ia != ib ),
inference(negated_conjecture,[status(cth)],[f14]) ).
fof(f16,plain,
~ ( ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& cowlThing(ia)
& cowlThing(ib)
& ia != ib ),
inference(rectify,[],[f15]) ).
fof(f29,plain,
! [X0] :
( ~ cB(X0)
| ~ cA(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f30,plain,
( ? [X0] :
( ~ cowlThing(X0)
| cowlNothing(X0) )
| ? [X1] :
( xsd_string(X1)
<~> ~ xsd_integer(X1) )
| ~ cowlThing(ia)
| ~ cowlThing(ib)
| ia = ib ),
inference(ennf_transformation,[],[f16]) ).
fof(f37,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[],[f7]) ).
fof(f38,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[],[f7]) ).
fof(f39,plain,
! [X0] :
( xsd_integer(X0)
| xsd_string(X0) ),
inference(cnf_transformation,[],[f8]) ).
fof(f40,plain,
! [X0] :
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[],[f8]) ).
fof(f41,plain,
cA(ia),
inference(cnf_transformation,[],[f9]) ).
fof(f42,plain,
cowlThing(ia),
inference(cnf_transformation,[],[f10]) ).
fof(f43,plain,
cB(ib),
inference(cnf_transformation,[],[f11]) ).
fof(f44,plain,
cowlThing(ib),
inference(cnf_transformation,[],[f12]) ).
fof(f45,plain,
! [X0] :
( ~ cA(X0)
| ~ cB(X0) ),
inference(cnf_transformation,[],[f29]) ).
fof(f46,plain,
( ia = ib
| ~ cowlThing(ib)
| ~ cowlThing(ia)
| xsd_integer(sK0)
| ~ xsd_string(sK0)
| cowlNothing(sK1)
| ~ cowlThing(sK1) ),
inference(cnf_transformation,[],[f30]) ).
fof(f47,plain,
( ia = ib
| ~ cowlThing(ib)
| ~ cowlThing(ia)
| ~ xsd_integer(sK0)
| xsd_string(sK0)
| cowlNothing(sK1)
| ~ cowlThing(sK1) ),
inference(cnf_transformation,[],[f30]) ).
fof(f58,plain,
! [X0] : cowlNothing(X0),
inference(consistent_polarity_flipping,[],[f37]) ).
fof(f59,plain,
! [X0] :
( ~ xsd_integer(X0)
| xsd_string(X0) ),
inference(consistent_polarity_flipping,[],[f40]) ).
fof(f60,plain,
! [X0] :
( ~ xsd_string(X0)
| xsd_integer(X0) ),
inference(consistent_polarity_flipping,[],[f39]) ).
fof(f61,plain,
~ cA(ia),
inference(consistent_polarity_flipping,[],[f41]) ).
fof(f62,plain,
~ cB(ib),
inference(consistent_polarity_flipping,[],[f43]) ).
fof(f63,plain,
! [X0] :
( cB(X0)
| cA(X0) ),
inference(consistent_polarity_flipping,[],[f45]) ).
fof(f64,plain,
( ia = ib
| ~ cowlThing(ib)
| ~ cowlThing(ia)
| ~ xsd_integer(sK0)
| ~ xsd_string(sK0)
| ~ cowlNothing(sK1)
| ~ cowlThing(sK1) ),
inference(consistent_polarity_flipping,[],[f47]) ).
fof(f65,plain,
( ia = ib
| ~ cowlThing(ib)
| ~ cowlThing(ia)
| xsd_integer(sK0)
| xsd_string(sK0)
| ~ cowlNothing(sK1)
| ~ cowlThing(sK1) ),
inference(consistent_polarity_flipping,[],[f46]) ).
fof(f67,definition,
( spl2_1
<=> cowlThing(sK1) ),
introduced(definition,[new_symbols(definition,[spl2_1])],[avatar_definition]) ).
fof(f69,plain,
( ~ cowlThing(sK1)
| spl2_1 ),
inference(avatar_component_clause,[],[f67]) ).
fof(f71,definition,
( spl2_2
<=> cowlNothing(sK1) ),
introduced(definition,[new_symbols(definition,[spl2_2])],[avatar_definition]) ).
fof(f73,plain,
( ~ cowlNothing(sK1)
| spl2_2 ),
inference(avatar_component_clause,[],[f71]) ).
fof(f75,definition,
( spl2_3
<=> xsd_string(sK0) ),
introduced(definition,[new_symbols(definition,[spl2_3])],[avatar_definition]) ).
fof(f76,plain,
( ~ xsd_string(sK0)
| spl2_3 ),
inference(avatar_component_clause,[],[f75]) ).
fof(f77,plain,
( xsd_string(sK0)
| ~ spl2_3 ),
inference(avatar_component_clause,[],[f75]) ).
fof(f79,definition,
( spl2_4
<=> xsd_integer(sK0) ),
introduced(definition,[new_symbols(definition,[spl2_4])],[avatar_definition]) ).
fof(f80,plain,
( ~ xsd_integer(sK0)
| spl2_4 ),
inference(avatar_component_clause,[],[f79]) ).
fof(f81,plain,
( xsd_integer(sK0)
| ~ spl2_4 ),
inference(avatar_component_clause,[],[f79]) ).
fof(f83,definition,
( spl2_5
<=> cowlThing(ia) ),
introduced(definition,[new_symbols(definition,[spl2_5])],[avatar_definition]) ).
fof(f87,definition,
( spl2_6
<=> cowlThing(ib) ),
introduced(definition,[new_symbols(definition,[spl2_6])],[avatar_definition]) ).
fof(f91,definition,
( spl2_7
<=> ia = ib ),
introduced(definition,[new_symbols(definition,[spl2_7])],[avatar_definition]) ).
fof(f93,plain,
( ia = ib
| ~ spl2_7 ),
inference(avatar_component_clause,[],[f91]) ).
fof(f94,plain,
( ~ spl2_1
| ~ spl2_2
| spl2_3
| spl2_4
| ~ spl2_5
| ~ spl2_6
| spl2_7 ),
inference(avatar_split_clause,[],[f65,f91,f87,f83,f79,f75,f71,f67]) ).
fof(f95,plain,
( ~ spl2_1
| ~ spl2_2
| ~ spl2_3
| ~ spl2_4
| ~ spl2_5
| ~ spl2_6
| spl2_7 ),
inference(avatar_split_clause,[],[f64,f91,f87,f83,f79,f75,f71,f67]) ).
fof(f96,plain,
spl2_6,
inference(avatar_split_clause,[],[f44,f87]) ).
fof(f97,plain,
spl2_5,
inference(avatar_split_clause,[],[f42,f83]) ).
fof(f98,plain,
( $false
| spl2_1 ),
inference(backward_subsumption_resolution,[],[f69,f38]) ).
fof(f99,plain,
spl2_1,
inference(avatar_contradiction_clause,[],[f98]) ).
fof(f100,plain,
( $false
| spl2_2 ),
inference(backward_subsumption_resolution,[],[f73,f58]) ).
fof(f101,plain,
spl2_2,
inference(avatar_contradiction_clause,[],[f100]) ).
fof(f102,plain,
( xsd_string(sK0)
| ~ spl2_4 ),
inference(resolution,[],[f59,f81]) ).
fof(f103,plain,
( $false
| spl2_3
| ~ spl2_4 ),
inference(forward_subsumption_resolution,[],[f102,f76]) ).
fof(f104,plain,
( spl2_3
| ~ spl2_4 ),
inference(avatar_contradiction_clause,[],[f103]) ).
fof(f107,plain,
cA(ib),
inference(resolution,[],[f63,f62]) ).
fof(f108,plain,
( cA(ia)
| ~ spl2_7 ),
inference(forward_demodulation,[],[f107,f93]) ).
fof(f109,plain,
( $false
| ~ spl2_7 ),
inference(forward_subsumption_resolution,[],[f108,f61]) ).
fof(f110,plain,
~ spl2_7,
inference(avatar_contradiction_clause,[],[f109]) ).
fof(f111,plain,
( xsd_integer(sK0)
| ~ spl2_3 ),
inference(resolution,[],[f77,f60]) ).
fof(f112,plain,
( $false
| ~ spl2_3
| spl2_4 ),
inference(forward_subsumption_resolution,[],[f111,f80]) ).
fof(f113,plain,
( ~ spl2_3
| spl2_4 ),
inference(avatar_contradiction_clause,[],[f112]) ).
cnf(s1,plain,
( ~ spl2_1
| ~ spl2_2
| spl2_3
| spl2_4
| ~ spl2_5
| ~ spl2_6
| spl2_7 ),
inference(sat_conversion,[],[f94]) ).
cnf(s2,plain,
( ~ spl2_1
| ~ spl2_2
| ~ spl2_3
| ~ spl2_4
| ~ spl2_5
| ~ spl2_6
| spl2_7 ),
inference(sat_conversion,[],[f95]) ).
cnf(s3,plain,
spl2_6,
inference(sat_conversion,[],[f96]) ).
cnf(s4,plain,
spl2_5,
inference(sat_conversion,[],[f97]) ).
cnf(s5,plain,
spl2_1,
inference(sat_conversion,[],[f99]) ).
cnf(s6,plain,
spl2_2,
inference(sat_conversion,[],[f101]) ).
cnf(s7,plain,
( spl2_3
| ~ spl2_4 ),
inference(sat_conversion,[],[f104]) ).
cnf(s8,plain,
~ spl2_7,
inference(sat_conversion,[],[f110]) ).
cnf(s9,plain,
( ~ spl2_3
| spl2_4 ),
inference(sat_conversion,[],[f113]) ).
cnf(s10,plain,
( ~ spl2_3
| ~ spl2_4 ),
inference(rat,[],[s2,s8,s3,s4,s6,s5]) ).
cnf(s11,plain,
( spl2_3
| spl2_4 ),
inference(rat,[],[s1,s8,s3,s4,s6,s5]) ).
cnf(s12,plain,
spl2_3,
inference(rat,[],[s11,s7]) ).
cnf(s13,plain,
spl2_4,
inference(rat,[],[s9,s12]) ).
cnf(s14,plain,
$false,
inference(rat,[],[s10,s13,s12]) ).
fof(f114,plain,
$false,
inference(avatar_sat_refutation,[],[s14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS163+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.39 % Computer : n013.cluster.edu
% 0.10/0.39 % Model : x86_64 x86_64
% 0.10/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.39 % Memory : 8046.5625MB
% 0.10/0.39 % OS : Linux 6.8.0-71-generic
% 0.10/0.39 % CPULimit : 300
% 0.10/0.39 % WCLimit : 300
% 0.10/0.39 % DateTime : Sun Sep 27 13:32:22 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.41 Running first-order model finding
% 0.10/0.41 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
% 0.16/0.46 % (232686)Will run a generic schedule for satisfiability detection.
% 0.16/0.46 % (232692)% WARNING: option uhcvi not known.
% 0.16/0.46 % (232692)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1719717656:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.16/0.46 % (232692) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-232686-232692"...
% 0.16/0.46 % (232692)...printing done.
% 0.16/0.46 % (232692)Refutation found. Thanks to Tanya!
% 0.16/0.46 % SZS status Theorem for theBenchmark
% 0.16/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.46 % (232692)------------------------------
% 0.16/0.46 % (232692)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.46 % (232692)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.46 % (232692)CaDiCaL version: 2.1.3
% 0.16/0.46 % (232692)Termination reason: Refutation
% 0.16/0.46 % (232692)Time elapsed: 0.002 s
% 0.16/0.46 % (232692)Peak memory usage: 12 MB
% 0.16/0.46 % (232692)Instructions burned: 2 (million)
% 0.16/0.46 % (232686)Success in time 0.038 s
% 0.16/0.46 % Vampire exiting
%------------------------------------------------------------------------------