%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : KRS134+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 11:42:21 AM UTC 2026
% Result : Theorem 0.12s 0.45s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 10
% Syntax : Number of formulae : 71 ( 12 unt; 6 def)
% Number of atoms : 209 ( 0 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 228 ( 90 ~; 101 |; 19 &)
% ( 10 <=>; 7 =>; 0 <=; 1 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 13 ( 12 usr; 7 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 33 ( 0 sgn 25 !; 8 ?)
% 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,X1] :
( rprop(X0,X1)
=> cA(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f4,conjecture,
( ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& ! [X0] :
( cowlThing(X0)
=> ! [X1] :
( rprop(X0,X1)
=> cA(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).
fof(f5,negated_conjecture,
~ ( ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& ! [X0] :
( cowlThing(X0)
=> ! [X1] :
( rprop(X0,X1)
=> cA(X1) ) ) ),
inference(negated_conjecture,[status(cth)],[f4]) ).
fof(f6,plain,
~ ( ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& ! [X2] :
( cowlThing(X2)
=> ! [X3] :
( rprop(X2,X3)
=> cA(X3) ) ) ),
inference(rectify,[],[f5]) ).
fof(f7,plain,
! [X0,X1] :
( cA(X1)
| ~ rprop(X0,X1) ),
inference(ennf_transformation,[],[f3]) ).
fof(f8,plain,
( ? [X0] :
( ~ cowlThing(X0)
| cowlNothing(X0) )
| ? [X1] :
( xsd_string(X1)
<~> ~ xsd_integer(X1) )
| ? [X2] :
( ? [X3] :
( ~ cA(X3)
& rprop(X2,X3) )
& cowlThing(X2) ) ),
inference(ennf_transformation,[],[f6]) ).
fof(f9,plain,
! [X0] :
( ( xsd_string(X0)
| xsd_integer(X0) )
& ( ~ xsd_integer(X0)
| ~ xsd_string(X0) ) ),
inference(nnf_transformation,[],[f2]) ).
fof(f10,plain,
( ? [X0] :
( ~ cowlThing(X0)
| cowlNothing(X0) )
| ? [X1] :
( ( xsd_integer(X1)
| ~ xsd_string(X1) )
& ( ~ xsd_integer(X1)
| xsd_string(X1) ) )
| ? [X2] :
( ? [X3] :
( ~ cA(X3)
& rprop(X2,X3) )
& cowlThing(X2) ) ),
inference(nnf_transformation,[],[f8]) ).
fof(f11,plain,
( ~ cowlThing(sK0)
| cowlNothing(sK0)
| ( ( xsd_integer(sK1)
| ~ xsd_string(sK1) )
& ( ~ xsd_integer(sK1)
| xsd_string(sK1) ) )
| ( ~ cA(sK3)
& rprop(sK2,sK3)
& cowlThing(sK2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3)],[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,[],[f9]) ).
fof(f15,plain,
! [X0] :
( xsd_integer(X0)
| xsd_string(X0) ),
inference(cnf_transformation,[],[f9]) ).
fof(f16,plain,
! [X0,X1] :
( ~ rprop(X0,X1)
| cA(X1) ),
inference(cnf_transformation,[],[f7]) ).
fof(f18,plain,
( ~ cowlThing(sK0)
| cowlNothing(sK0)
| ~ xsd_integer(sK1)
| xsd_string(sK1)
| rprop(sK2,sK3) ),
inference(cnf_transformation,[],[f11]) ).
fof(f19,plain,
( ~ cowlThing(sK0)
| cowlNothing(sK0)
| ~ xsd_integer(sK1)
| xsd_string(sK1)
| ~ cA(sK3) ),
inference(cnf_transformation,[],[f11]) ).
fof(f21,plain,
( ~ cowlThing(sK0)
| cowlNothing(sK0)
| xsd_integer(sK1)
| ~ xsd_string(sK1)
| rprop(sK2,sK3) ),
inference(cnf_transformation,[],[f11]) ).
fof(f22,plain,
( ~ cowlThing(sK0)
| cowlNothing(sK0)
| xsd_integer(sK1)
| ~ xsd_string(sK1)
| ~ cA(sK3) ),
inference(cnf_transformation,[],[f11]) ).
fof(f28,definition,
( spl4_2
<=> xsd_string(sK1) ),
introduced(definition,[new_symbols(definition,[spl4_2])],[avatar_definition]) ).
fof(f29,plain,
( ~ xsd_string(sK1)
| spl4_2 ),
inference(avatar_component_clause,[],[f28]) ).
fof(f30,plain,
( xsd_string(sK1)
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f28]) ).
fof(f32,definition,
( spl4_3
<=> xsd_integer(sK1) ),
introduced(definition,[new_symbols(definition,[spl4_3])],[avatar_definition]) ).
fof(f33,plain,
( xsd_integer(sK1)
| ~ spl4_3 ),
inference(avatar_component_clause,[],[f32]) ).
fof(f34,plain,
( ~ xsd_integer(sK1)
| spl4_3 ),
inference(avatar_component_clause,[],[f32]) ).
fof(f36,definition,
( spl4_4
<=> cowlNothing(sK0) ),
introduced(definition,[new_symbols(definition,[spl4_4])],[avatar_definition]) ).
fof(f38,plain,
( cowlNothing(sK0)
| ~ spl4_4 ),
inference(avatar_component_clause,[],[f36]) ).
fof(f40,definition,
( spl4_5
<=> cowlThing(sK0) ),
introduced(definition,[new_symbols(definition,[spl4_5])],[avatar_definition]) ).
fof(f42,plain,
( ~ cowlThing(sK0)
| spl4_5 ),
inference(avatar_component_clause,[],[f40]) ).
fof(f45,definition,
( spl4_6
<=> rprop(sK2,sK3) ),
introduced(definition,[new_symbols(definition,[spl4_6])],[avatar_definition]) ).
fof(f47,plain,
( rprop(sK2,sK3)
| ~ spl4_6 ),
inference(avatar_component_clause,[],[f45]) ).
fof(f48,plain,
( spl4_6
| spl4_2
| ~ spl4_3
| spl4_4
| ~ spl4_5 ),
inference(avatar_split_clause,[],[f18,f40,f36,f32,f28,f45]) ).
fof(f50,definition,
( spl4_7
<=> cA(sK3) ),
introduced(definition,[new_symbols(definition,[spl4_7])],[avatar_definition]) ).
fof(f52,plain,
( ~ cA(sK3)
| spl4_7 ),
inference(avatar_component_clause,[],[f50]) ).
fof(f53,plain,
( ~ spl4_7
| spl4_2
| ~ spl4_3
| spl4_4
| ~ spl4_5 ),
inference(avatar_split_clause,[],[f19,f40,f36,f32,f28,f50]) ).
fof(f55,plain,
( spl4_6
| ~ spl4_2
| spl4_3
| spl4_4
| ~ spl4_5 ),
inference(avatar_split_clause,[],[f21,f40,f36,f32,f28,f45]) ).
fof(f56,plain,
( ~ spl4_7
| ~ spl4_2
| spl4_3
| spl4_4
| ~ spl4_5 ),
inference(avatar_split_clause,[],[f22,f40,f36,f32,f28,f50]) ).
fof(f57,plain,
( $false
| spl4_5 ),
inference(forward_subsumption_resolution,[],[f42,f13]) ).
fof(f58,plain,
spl4_5,
inference(avatar_contradiction_clause,[],[f57]) ).
fof(f59,plain,
( xsd_string(sK1)
| spl4_3 ),
inference(resolution,[],[f15,f34]) ).
fof(f61,plain,
( $false
| spl4_2
| spl4_3 ),
inference(forward_subsumption_resolution,[],[f59,f29]) ).
fof(f62,plain,
( spl4_2
| spl4_3 ),
inference(avatar_contradiction_clause,[],[f61]) ).
fof(f63,plain,
( $false
| ~ spl4_4 ),
inference(forward_subsumption_resolution,[],[f38,f12]) ).
fof(f64,plain,
~ spl4_4,
inference(avatar_contradiction_clause,[],[f63]) ).
fof(f65,plain,
( ~ xsd_string(sK1)
| ~ spl4_3 ),
inference(resolution,[],[f33,f14]) ).
fof(f66,plain,
( $false
| ~ spl4_2
| ~ spl4_3 ),
inference(forward_subsumption_resolution,[],[f65,f30]) ).
fof(f67,plain,
( ~ spl4_2
| ~ spl4_3 ),
inference(avatar_contradiction_clause,[],[f66]) ).
fof(f69,plain,
( cA(sK3)
| ~ spl4_6 ),
inference(resolution,[],[f16,f47]) ).
fof(f70,plain,
( $false
| ~ spl4_6
| spl4_7 ),
inference(forward_subsumption_resolution,[],[f69,f52]) ).
fof(f71,plain,
( ~ spl4_6
| spl4_7 ),
inference(avatar_contradiction_clause,[],[f70]) ).
cnf(s2,plain,
( spl4_2
| ~ spl4_3
| spl4_4
| ~ spl4_5
| spl4_6 ),
inference(sat_conversion,[],[f48]) ).
cnf(s3,plain,
( spl4_2
| ~ spl4_3
| spl4_4
| ~ spl4_5
| ~ spl4_7 ),
inference(sat_conversion,[],[f53]) ).
cnf(s5,plain,
( ~ spl4_2
| spl4_3
| spl4_4
| ~ spl4_5
| spl4_6 ),
inference(sat_conversion,[],[f55]) ).
cnf(s6,plain,
( ~ spl4_2
| spl4_3
| spl4_4
| ~ spl4_5
| ~ spl4_7 ),
inference(sat_conversion,[],[f56]) ).
cnf(s7,plain,
spl4_5,
inference(sat_conversion,[],[f58]) ).
cnf(s8,plain,
( spl4_2
| spl4_3 ),
inference(sat_conversion,[],[f62]) ).
cnf(s9,plain,
~ spl4_4,
inference(sat_conversion,[],[f64]) ).
cnf(s10,plain,
( ~ spl4_2
| ~ spl4_3 ),
inference(sat_conversion,[],[f67]) ).
cnf(s11,plain,
( ~ spl4_6
| spl4_7 ),
inference(sat_conversion,[],[f71]) ).
cnf(s12,plain,
( ~ spl4_2
| spl4_3
| ~ spl4_7 ),
inference(rat,[],[s6,s7,s9]) ).
cnf(s13,plain,
( ~ spl4_2
| spl4_3
| spl4_6 ),
inference(rat,[],[s5,s7,s9]) ).
cnf(s15,plain,
( spl4_2
| ~ spl4_3
| ~ spl4_7 ),
inference(rat,[],[s3,s7,s9]) ).
cnf(s16,plain,
( spl4_2
| ~ spl4_3
| spl4_6 ),
inference(rat,[],[s2,s7,s9]) ).
cnf(s20,plain,
( ~ spl4_3
| spl4_2 ),
inference(rat,[],[s11,s16,s15]) ).
cnf(s21,plain,
spl4_2,
inference(rat,[],[s20,s8]) ).
cnf(s22,plain,
~ spl4_3,
inference(rat,[],[s10,s21]) ).
cnf(s23,plain,
~ spl4_7,
inference(rat,[],[s12,s21,s22]) ).
cnf(s24,plain,
spl4_6,
inference(rat,[],[s13,s21,s22]) ).
cnf(s25,plain,
$false,
inference(rat,[],[s11,s23,s24]) ).
fof(f72,plain,
$false,
inference(avatar_sat_refutation,[],[s25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS134+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.37 % Computer : n020.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sun Sep 27 13:29:49 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.41 Running first-order model finding
% 0.12/0.41 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
% 0.12/0.45 % (3385242)Will run a generic schedule for satisfiability detection.
% 0.12/0.45 % (3385252)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3497576228:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.12/0.45 % (3385252) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3385242-3385252"...
% 0.12/0.45 % (3385252)...printing done.
% 0.12/0.45 % (3385248)% WARNING: option uhcvi not known.
% 0.12/0.45 % (3385252)Refutation found. Thanks to Tanya!
% 0.12/0.45 % SZS status Theorem for theBenchmark
% 0.12/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.45 % (3385252)------------------------------
% 0.12/0.45 % (3385252)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.12/0.45 % (3385252)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.12/0.45 % (3385252)CaDiCaL version: 2.1.3
% 0.12/0.45 % (3385252)Termination reason: Refutation
% 0.12/0.45 % (3385252)Time elapsed: 0.001 s
% 0.12/0.45 % (3385252)Peak memory usage: 12 MB
% 0.12/0.45 % (3385252)Instructions burned: 2 (million)
% 0.12/0.45 % (3385242)Success in time 0.029 s
% 0.12/0.45 % Vampire exiting
%------------------------------------------------------------------------------