%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : KRS129+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 : n002.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 11:42:20 AM UTC 2026
% Result : Theorem 0.11s 0.45s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 11
% Syntax : Number of formulae : 60 ( 14 unt; 5 def)
% Number of atoms : 140 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 141 ( 61 ~; 57 |; 11 &)
% ( 11 <=>; 0 =>; 0 <=; 1 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 13 ( 12 usr; 6 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 26 ( 0 sgn 23 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f13,axiom,
! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).
fof(f14,axiom,
! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
fof(f16,axiom,
! [X0] :
( cEuroMP(X0)
<=> ? [X1] :
( risEuroMPFrom(X0,X1)
& cowlThing(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(f18,axiom,
! [X0,X1] :
( risEuroMPFrom(X0,X1)
<=> rhasEuroMP(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
fof(f26,axiom,
rhasEuroMP(iUK,iKinnock),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_13) ).
fof(f27,conjecture,
( ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& cEuroMP(iKinnock) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).
fof(f28,negated_conjecture,
~ ( ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& cEuroMP(iKinnock) ),
inference(negated_conjecture,[status(cth)],[f27]) ).
fof(f29,plain,
~ ( ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& cEuroMP(iKinnock) ),
inference(rectify,[],[f28]) ).
fof(f55,plain,
( ? [X0] :
( ~ cowlThing(X0)
| cowlNothing(X0) )
| ? [X1] :
( xsd_string(X1)
<~> ~ xsd_integer(X1) )
| ~ cEuroMP(iKinnock) ),
inference(ennf_transformation,[],[f29]) ).
fof(f68,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[],[f13]) ).
fof(f69,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[],[f13]) ).
fof(f70,plain,
! [X0] :
( xsd_string(X0)
| xsd_integer(X0) ),
inference(cnf_transformation,[],[f14]) ).
fof(f71,plain,
! [X0] :
( ~ xsd_string(X0)
| ~ xsd_integer(X0) ),
inference(cnf_transformation,[],[f14]) ).
fof(f81,plain,
! [X0,X1] :
( ~ cowlThing(X1)
| ~ risEuroMPFrom(X0,X1)
| cEuroMP(X0) ),
inference(cnf_transformation,[],[f16]) ).
fof(f83,plain,
! [X0,X1] :
( risEuroMPFrom(X0,X1)
| ~ rhasEuroMP(X1,X0) ),
inference(cnf_transformation,[],[f18]) ).
fof(f92,plain,
rhasEuroMP(iUK,iKinnock),
inference(cnf_transformation,[],[f26]) ).
fof(f93,plain,
( ~ cEuroMP(iKinnock)
| xsd_integer(sK1)
| ~ xsd_string(sK1)
| cowlNothing(sK2)
| ~ cowlThing(sK2) ),
inference(cnf_transformation,[],[f55]) ).
fof(f94,plain,
( ~ cEuroMP(iKinnock)
| ~ xsd_integer(sK1)
| xsd_string(sK1)
| cowlNothing(sK2)
| ~ cowlThing(sK2) ),
inference(cnf_transformation,[],[f55]) ).
fof(f114,definition,
( spl3_1
<=> cowlThing(sK2) ),
introduced(definition,[new_symbols(definition,[spl3_1])],[avatar_definition]) ).
fof(f116,plain,
( ~ cowlThing(sK2)
| spl3_1 ),
inference(avatar_component_clause,[],[f114]) ).
fof(f118,definition,
( spl3_2
<=> cowlNothing(sK2) ),
introduced(definition,[new_symbols(definition,[spl3_2])],[avatar_definition]) ).
fof(f120,plain,
( cowlNothing(sK2)
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f118]) ).
fof(f122,definition,
( spl3_3
<=> xsd_string(sK1) ),
introduced(definition,[new_symbols(definition,[spl3_3])],[avatar_definition]) ).
fof(f123,plain,
( xsd_string(sK1)
| ~ spl3_3 ),
inference(avatar_component_clause,[],[f122]) ).
fof(f124,plain,
( ~ xsd_string(sK1)
| spl3_3 ),
inference(avatar_component_clause,[],[f122]) ).
fof(f126,definition,
( spl3_4
<=> xsd_integer(sK1) ),
introduced(definition,[new_symbols(definition,[spl3_4])],[avatar_definition]) ).
fof(f127,plain,
( ~ xsd_integer(sK1)
| spl3_4 ),
inference(avatar_component_clause,[],[f126]) ).
fof(f128,plain,
( xsd_integer(sK1)
| ~ spl3_4 ),
inference(avatar_component_clause,[],[f126]) ).
fof(f130,definition,
( spl3_5
<=> cEuroMP(iKinnock) ),
introduced(definition,[new_symbols(definition,[spl3_5])],[avatar_definition]) ).
fof(f132,plain,
( ~ cEuroMP(iKinnock)
| spl3_5 ),
inference(avatar_component_clause,[],[f130]) ).
fof(f133,plain,
( ~ spl3_1
| spl3_2
| ~ spl3_3
| spl3_4
| ~ spl3_5 ),
inference(avatar_split_clause,[],[f93,f130,f126,f122,f118,f114]) ).
fof(f134,plain,
( ~ spl3_1
| spl3_2
| spl3_3
| ~ spl3_4
| ~ spl3_5 ),
inference(avatar_split_clause,[],[f94,f130,f126,f122,f118,f114]) ).
fof(f135,plain,
( $false
| spl3_1 ),
inference(forward_subsumption_resolution,[],[f116,f69]) ).
fof(f136,plain,
spl3_1,
inference(avatar_contradiction_clause,[],[f135]) ).
fof(f140,plain,
! [X0,X1] :
( cEuroMP(X0)
| ~ risEuroMPFrom(X0,X1) ),
inference(resolution,[],[f81,f69]) ).
fof(f142,plain,
( ! [X0] : ~ risEuroMPFrom(iKinnock,X0)
| spl3_5 ),
inference(resolution,[],[f140,f132]) ).
fof(f150,plain,
( ! [X0] : ~ rhasEuroMP(X0,iKinnock)
| spl3_5 ),
inference(resolution,[],[f142,f83]) ).
fof(f156,plain,
( $false
| spl3_5 ),
inference(resolution,[],[f150,f92]) ).
fof(f157,plain,
spl3_5,
inference(avatar_contradiction_clause,[],[f156]) ).
fof(f158,plain,
( xsd_integer(sK1)
| spl3_3 ),
inference(resolution,[],[f124,f70]) ).
fof(f159,plain,
( $false
| spl3_3
| spl3_4 ),
inference(forward_subsumption_resolution,[],[f158,f127]) ).
fof(f160,plain,
( spl3_3
| spl3_4 ),
inference(avatar_contradiction_clause,[],[f159]) ).
fof(f161,plain,
( $false
| ~ spl3_2 ),
inference(forward_subsumption_resolution,[],[f120,f68]) ).
fof(f162,plain,
~ spl3_2,
inference(avatar_contradiction_clause,[],[f161]) ).
fof(f163,plain,
( ~ xsd_integer(sK1)
| ~ spl3_3 ),
inference(resolution,[],[f123,f71]) ).
fof(f164,plain,
( $false
| ~ spl3_3
| ~ spl3_4 ),
inference(forward_subsumption_resolution,[],[f163,f128]) ).
fof(f165,plain,
( ~ spl3_3
| ~ spl3_4 ),
inference(avatar_contradiction_clause,[],[f164]) ).
cnf(s1,plain,
( ~ spl3_1
| spl3_2
| ~ spl3_3
| spl3_4
| ~ spl3_5 ),
inference(sat_conversion,[],[f133]) ).
cnf(s2,plain,
( ~ spl3_1
| spl3_2
| spl3_3
| ~ spl3_4
| ~ spl3_5 ),
inference(sat_conversion,[],[f134]) ).
cnf(s3,plain,
spl3_1,
inference(sat_conversion,[],[f136]) ).
cnf(s4,plain,
spl3_5,
inference(sat_conversion,[],[f157]) ).
cnf(s5,plain,
( spl3_3
| spl3_4 ),
inference(sat_conversion,[],[f160]) ).
cnf(s6,plain,
~ spl3_2,
inference(sat_conversion,[],[f162]) ).
cnf(s7,plain,
( ~ spl3_3
| ~ spl3_4 ),
inference(sat_conversion,[],[f165]) ).
cnf(s8,plain,
( spl3_3
| ~ spl3_4 ),
inference(rat,[],[s2,s4,s6,s3]) ).
cnf(s9,plain,
( ~ spl3_3
| spl3_4 ),
inference(rat,[],[s1,s4,s6,s3]) ).
cnf(s10,plain,
spl3_3,
inference(rat,[],[s8,s5]) ).
cnf(s11,plain,
~ spl3_4,
inference(rat,[],[s7,s10]) ).
cnf(s12,plain,
$false,
inference(rat,[],[s9,s11,s10]) ).
fof(f166,plain,
$false,
inference(avatar_sat_refutation,[],[s12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS129+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.39 % Computer : n002.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 13:30:22 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.42 Running first-order model finding
% 0.11/0.42 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
% 0.11/0.45 % (3529692)Will run a generic schedule for satisfiability detection.
% 0.11/0.45 % (3529701)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=123554230:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.11/0.45 % (3529701) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3529692-3529701"...
% 0.11/0.45 % (3529701)...printing done.
% 0.11/0.45 % (3529701)Refutation found. Thanks to Tanya!
% 0.11/0.45 % SZS status Theorem for theBenchmark
% 0.11/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.45 % (3529701)------------------------------
% 0.11/0.45 % (3529701)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.11/0.45 % (3529701)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/0.45 % (3529701)CaDiCaL version: 2.1.3
% 0.11/0.45 % (3529701)Termination reason: Refutation
% 0.11/0.45 % (3529701)Time elapsed: 0.002 s
% 0.11/0.45 % (3529701)Peak memory usage: 12 MB
% 0.11/0.45 % (3529701)Instructions burned: 3 (million)
% 0.11/0.45 % (3529692)Success in time 0.016 s
% 0.11/0.45 % Vampire exiting
%------------------------------------------------------------------------------