%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : KRS168+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 : n006.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 11:42:26 AM UTC 2026
% Result : Theorem 0.12s 0.45s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 9
% Syntax : Number of formulae : 67 ( 12 unt; 6 def)
% Number of atoms : 216 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 256 ( 107 ~; 119 |; 15 &)
% ( 13 <=>; 0 =>; 0 <=; 2 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 13 ( 12 usr; 7 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 18 ( 0 sgn 15 !; 3 ?)
% 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,conjecture,
( ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& ! [X0] :
( ( ~ cB(X0)
& ~ cA(X0) )
<=> ~ ( cA(X0)
| cB(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).
fof(f4,negated_conjecture,
~ ( ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& ! [X0] :
( ( ~ cB(X0)
& ~ cA(X0) )
<=> ~ ( cA(X0)
| cB(X0) ) ) ),
inference(negated_conjecture,[status(cth)],[f3]) ).
fof(f5,plain,
~ ( ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& ! [X2] :
( ( ~ cB(X2)
& ~ cA(X2) )
<=> ~ ( cA(X2)
| cB(X2) ) ) ),
inference(rectify,[],[f4]) ).
fof(f6,plain,
( ? [X0] :
( ~ cowlThing(X0)
| cowlNothing(X0) )
| ? [X1] :
( xsd_string(X1)
<~> ~ xsd_integer(X1) )
| ? [X2] :
( ( ~ cB(X2)
& ~ cA(X2) )
<~> ( ~ cA(X2)
& ~ cB(X2) ) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f7,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f8,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f9,plain,
! [X0] :
( xsd_integer(X0)
| xsd_string(X0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f10,plain,
! [X0] :
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f11,plain,
( ~ cB(sK0)
| xsd_integer(sK1)
| ~ xsd_string(sK1)
| cowlNothing(sK2)
| ~ cowlThing(sK2) ),
inference(cnf_transformation,[],[f6]) ).
fof(f14,plain,
( ~ cA(sK0)
| xsd_integer(sK1)
| ~ xsd_string(sK1)
| cowlNothing(sK2)
| ~ cowlThing(sK2) ),
inference(cnf_transformation,[],[f6]) ).
fof(f15,plain,
( ~ cB(sK0)
| ~ xsd_integer(sK1)
| xsd_string(sK1)
| cowlNothing(sK2)
| ~ cowlThing(sK2) ),
inference(cnf_transformation,[],[f6]) ).
fof(f18,plain,
( ~ cA(sK0)
| ~ xsd_integer(sK1)
| xsd_string(sK1)
| cowlNothing(sK2)
| ~ cowlThing(sK2) ),
inference(cnf_transformation,[],[f6]) ).
fof(f19,plain,
( cA(sK0)
| cB(sK0)
| xsd_integer(sK1)
| ~ xsd_string(sK1)
| cowlNothing(sK2)
| ~ cowlThing(sK2) ),
inference(cnf_transformation,[],[f6]) ).
fof(f20,plain,
( cA(sK0)
| cB(sK0)
| ~ xsd_integer(sK1)
| xsd_string(sK1)
| cowlNothing(sK2)
| ~ cowlThing(sK2) ),
inference(cnf_transformation,[],[f6]) ).
fof(f22,definition,
( spl3_1
<=> cowlThing(sK2) ),
introduced(definition,[new_symbols(definition,[spl3_1])],[avatar_definition]) ).
fof(f24,plain,
( ~ cowlThing(sK2)
| spl3_1 ),
inference(avatar_component_clause,[],[f22]) ).
fof(f26,definition,
( spl3_2
<=> cowlNothing(sK2) ),
introduced(definition,[new_symbols(definition,[spl3_2])],[avatar_definition]) ).
fof(f28,plain,
( cowlNothing(sK2)
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f26]) ).
fof(f30,definition,
( spl3_3
<=> xsd_string(sK1) ),
introduced(definition,[new_symbols(definition,[spl3_3])],[avatar_definition]) ).
fof(f31,plain,
( xsd_string(sK1)
| ~ spl3_3 ),
inference(avatar_component_clause,[],[f30]) ).
fof(f32,plain,
( ~ xsd_string(sK1)
| spl3_3 ),
inference(avatar_component_clause,[],[f30]) ).
fof(f34,definition,
( spl3_4
<=> xsd_integer(sK1) ),
introduced(definition,[new_symbols(definition,[spl3_4])],[avatar_definition]) ).
fof(f35,plain,
( ~ xsd_integer(sK1)
| spl3_4 ),
inference(avatar_component_clause,[],[f34]) ).
fof(f36,plain,
( xsd_integer(sK1)
| ~ spl3_4 ),
inference(avatar_component_clause,[],[f34]) ).
fof(f38,definition,
( spl3_5
<=> cB(sK0) ),
introduced(definition,[new_symbols(definition,[spl3_5])],[avatar_definition]) ).
fof(f41,plain,
( ~ spl3_1
| spl3_2
| ~ spl3_3
| spl3_4
| ~ spl3_5 ),
inference(avatar_split_clause,[],[f11,f38,f34,f30,f26,f22]) ).
fof(f43,definition,
( spl3_6
<=> cA(sK0) ),
introduced(definition,[new_symbols(definition,[spl3_6])],[avatar_definition]) ).
fof(f46,plain,
( ~ spl3_1
| spl3_2
| ~ spl3_3
| spl3_4
| ~ spl3_6 ),
inference(avatar_split_clause,[],[f14,f43,f34,f30,f26,f22]) ).
fof(f47,plain,
( ~ spl3_1
| spl3_2
| spl3_3
| ~ spl3_4
| ~ spl3_5 ),
inference(avatar_split_clause,[],[f15,f38,f34,f30,f26,f22]) ).
fof(f48,plain,
( ~ spl3_1
| spl3_2
| spl3_3
| ~ spl3_4
| ~ spl3_6 ),
inference(avatar_split_clause,[],[f18,f43,f34,f30,f26,f22]) ).
fof(f49,plain,
( ~ spl3_1
| spl3_2
| ~ spl3_3
| spl3_4
| spl3_5
| spl3_6 ),
inference(avatar_split_clause,[],[f19,f43,f38,f34,f30,f26,f22]) ).
fof(f50,plain,
( ~ spl3_1
| spl3_2
| spl3_3
| ~ spl3_4
| spl3_5
| spl3_6 ),
inference(avatar_split_clause,[],[f20,f43,f38,f34,f30,f26,f22]) ).
fof(f51,plain,
( $false
| spl3_1 ),
inference(forward_subsumption_resolution,[],[f24,f8]) ).
fof(f52,plain,
spl3_1,
inference(avatar_contradiction_clause,[],[f51]) ).
fof(f53,plain,
( xsd_string(sK1)
| spl3_4 ),
inference(resolution,[],[f9,f35]) ).
fof(f54,plain,
( $false
| spl3_3
| spl3_4 ),
inference(forward_subsumption_resolution,[],[f53,f32]) ).
fof(f55,plain,
( spl3_3
| spl3_4 ),
inference(avatar_contradiction_clause,[],[f54]) ).
fof(f56,plain,
( $false
| ~ spl3_2 ),
inference(forward_subsumption_resolution,[],[f28,f7]) ).
fof(f57,plain,
~ spl3_2,
inference(avatar_contradiction_clause,[],[f56]) ).
fof(f59,plain,
( ~ xsd_string(sK1)
| ~ spl3_4 ),
inference(resolution,[],[f10,f36]) ).
fof(f60,plain,
( $false
| ~ spl3_3
| ~ spl3_4 ),
inference(forward_subsumption_resolution,[],[f59,f31]) ).
fof(f61,plain,
( ~ spl3_3
| ~ spl3_4 ),
inference(avatar_contradiction_clause,[],[f60]) ).
cnf(s1,plain,
( ~ spl3_1
| spl3_2
| ~ spl3_3
| spl3_4
| ~ spl3_5 ),
inference(sat_conversion,[],[f41]) ).
cnf(s2,plain,
( ~ spl3_1
| spl3_2
| ~ spl3_3
| spl3_4
| ~ spl3_6 ),
inference(sat_conversion,[],[f46]) ).
cnf(s3,plain,
( ~ spl3_1
| spl3_2
| spl3_3
| ~ spl3_4
| ~ spl3_5 ),
inference(sat_conversion,[],[f47]) ).
cnf(s4,plain,
( ~ spl3_1
| spl3_2
| spl3_3
| ~ spl3_4
| ~ spl3_6 ),
inference(sat_conversion,[],[f48]) ).
cnf(s5,plain,
( ~ spl3_1
| spl3_2
| ~ spl3_3
| spl3_4
| spl3_5
| spl3_6 ),
inference(sat_conversion,[],[f49]) ).
cnf(s6,plain,
( ~ spl3_1
| spl3_2
| spl3_3
| ~ spl3_4
| spl3_5
| spl3_6 ),
inference(sat_conversion,[],[f50]) ).
cnf(s7,plain,
spl3_1,
inference(sat_conversion,[],[f52]) ).
cnf(s8,plain,
( spl3_3
| spl3_4 ),
inference(sat_conversion,[],[f55]) ).
cnf(s9,plain,
~ spl3_2,
inference(sat_conversion,[],[f57]) ).
cnf(s10,plain,
( ~ spl3_3
| ~ spl3_4 ),
inference(sat_conversion,[],[f61]) ).
cnf(s11,plain,
( spl3_3
| ~ spl3_4
| spl3_5
| spl3_6 ),
inference(rat,[],[s6,s9,s7]) ).
cnf(s12,plain,
( ~ spl3_3
| spl3_4
| spl3_5
| spl3_6 ),
inference(rat,[],[s5,s9,s7]) ).
cnf(s13,plain,
( spl3_3
| ~ spl3_4
| ~ spl3_6 ),
inference(rat,[],[s4,s9,s7]) ).
cnf(s14,plain,
( spl3_3
| ~ spl3_4
| ~ spl3_5 ),
inference(rat,[],[s3,s9,s7]) ).
cnf(s15,plain,
( ~ spl3_3
| spl3_4
| ~ spl3_6 ),
inference(rat,[],[s2,s9,s7]) ).
cnf(s16,plain,
( ~ spl3_3
| spl3_4
| ~ spl3_5 ),
inference(rat,[],[s1,s9,s7]) ).
cnf(s17,plain,
( ~ spl3_4
| spl3_3 ),
inference(rat,[],[s11,s14,s13]) ).
cnf(s18,plain,
spl3_3,
inference(rat,[],[s17,s8]) ).
cnf(s19,plain,
~ spl3_4,
inference(rat,[],[s10,s18]) ).
cnf(s20,plain,
~ spl3_6,
inference(rat,[],[s15,s18,s19]) ).
cnf(s21,plain,
~ spl3_5,
inference(rat,[],[s16,s18,s19]) ).
cnf(s22,plain,
$false,
inference(rat,[],[s12,s20,s18,s21,s19]) ).
fof(f62,plain,
$false,
inference(avatar_sat_refutation,[],[s22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS168+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % Computer : n006.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 13:32:56 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 % (2978261)Will run a generic schedule for satisfiability detection.
% 0.12/0.45 % (2978270)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1171685562:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.12/0.45 % (2978270) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2978261-2978270"...
% 0.12/0.45 % (2978270)...printing done.
% 0.12/0.45 % (2978267)% WARNING: option uhcvi not known.
% 0.12/0.45 % (2978270)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 % (2978270)------------------------------
% 0.12/0.45 % (2978270)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.12/0.45 % (2978270)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.12/0.45 % (2978270)CaDiCaL version: 2.1.3
% 0.12/0.45 % (2978270)Termination reason: Refutation
% 0.12/0.45 % (2978270)Time elapsed: 0.001 s
% 0.12/0.45 % (2978270)Peak memory usage: 12 MB
% 0.12/0.45 % (2978270)Instructions burned: 2 (million)
% 0.12/0.45 % (2978261)Success in time 0.028 s
% 0.12/0.45 % Vampire exiting
%------------------------------------------------------------------------------