%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : KRS152+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 11:42:24 AM UTC 2026
% Result : Theorem 0.13s 0.46s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 18
% Syntax : Number of formulae : 84 ( 30 unt; 8 def)
% Number of atoms : 231 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 253 ( 106 ~; 101 |; 30 &)
% ( 14 <=>; 1 =>; 0 <=; 1 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 19 ( 18 usr; 9 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 25 ( 0 sgn 21 !; 4 ?)
% 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] :
( cC10(X0)
<=> ( cC2(X0)
& cC4(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f7,axiom,
! [X0] :
( cTEST(X0)
<=> ( cC12(X0)
& ~ cC8(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
fof(f8,axiom,
cTEST(iV21080),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
fof(f9,axiom,
cowlThing(iV21080),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).
fof(f14,axiom,
cowlThing(iV21081),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_13) ).
fof(f15,axiom,
cC2(iV21081),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_14) ).
fof(f16,axiom,
cC4(iV21081),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_15) ).
fof(f17,conjecture,
( ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& cowlThing(iV21080)
& cC12(iV21080)
& cC10(iV21081)
& cowlThing(iV21081) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).
fof(f18,negated_conjecture,
~ ( ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& cowlThing(iV21080)
& cC12(iV21080)
& cC10(iV21081)
& cowlThing(iV21081) ),
inference(negated_conjecture,[status(cth)],[f17]) ).
fof(f19,plain,
~ ( ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& cowlThing(iV21080)
& cC12(iV21080)
& cC10(iV21081)
& cowlThing(iV21081) ),
inference(rectify,[],[f18]) ).
fof(f20,plain,
! [X0] :
( cTEST(X0)
=> ( cC12(X0)
& ~ cC8(X0) ) ),
inference(unused_predicate_definition_removal,[],[f7]) ).
fof(f26,plain,
! [X0] :
( ( cC12(X0)
& ~ cC8(X0) )
| ~ cTEST(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f28,plain,
( ? [X0] :
( ~ cowlThing(X0)
| cowlNothing(X0) )
| ? [X1] :
( xsd_string(X1)
<~> ~ xsd_integer(X1) )
| ~ cowlThing(iV21080)
| ~ cC12(iV21080)
| ~ cC10(iV21081)
| ~ cowlThing(iV21081) ),
inference(ennf_transformation,[],[f19]) ).
fof(f29,plain,
! [X0] :
( ( xsd_string(X0)
| xsd_integer(X0) )
& ( ~ xsd_integer(X0)
| ~ xsd_string(X0) ) ),
inference(nnf_transformation,[],[f2]) ).
fof(f30,plain,
! [X0] :
( ( cC10(X0)
| ~ cC2(X0)
| ~ cC4(X0) )
& ( ( cC2(X0)
& cC4(X0) )
| ~ cC10(X0) ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f31,plain,
! [X0] :
( ( cC10(X0)
| ~ cC2(X0)
| ~ cC4(X0) )
& ( ( cC2(X0)
& cC4(X0) )
| ~ cC10(X0) ) ),
inference(flattening,[],[f30]) ).
fof(f35,plain,
( ? [X0] :
( ~ cowlThing(X0)
| cowlNothing(X0) )
| ? [X1] :
( ( xsd_integer(X1)
| ~ xsd_string(X1) )
& ( ~ xsd_integer(X1)
| xsd_string(X1) ) )
| ~ cowlThing(iV21080)
| ~ cC12(iV21080)
| ~ cC10(iV21081)
| ~ cowlThing(iV21081) ),
inference(nnf_transformation,[],[f28]) ).
fof(f36,plain,
( ~ cowlThing(sK1)
| cowlNothing(sK1)
| ( ( xsd_integer(sK2)
| ~ xsd_string(sK2) )
& ( ~ xsd_integer(sK2)
| xsd_string(sK2) ) )
| ~ cowlThing(iV21080)
| ~ cC12(iV21080)
| ~ cC10(iV21081)
| ~ cowlThing(iV21081) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2]),skolemize(X0,sK1),skolemize(X1,sK2)],[f35]) ).
fof(f37,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f38,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f39,plain,
! [X0] :
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[],[f29]) ).
fof(f40,plain,
! [X0] :
( xsd_integer(X0)
| xsd_string(X0) ),
inference(cnf_transformation,[],[f29]) ).
fof(f43,plain,
! [X0] :
( ~ cC4(X0)
| ~ cC2(X0)
| cC10(X0) ),
inference(cnf_transformation,[],[f31]) ).
fof(f50,plain,
! [X0] :
( ~ cTEST(X0)
| cC12(X0) ),
inference(cnf_transformation,[],[f26]) ).
fof(f51,plain,
cTEST(iV21080),
inference(cnf_transformation,[],[f8]) ).
fof(f52,plain,
cowlThing(iV21080),
inference(cnf_transformation,[],[f9]) ).
fof(f57,plain,
cowlThing(iV21081),
inference(cnf_transformation,[],[f14]) ).
fof(f58,plain,
cC2(iV21081),
inference(cnf_transformation,[],[f15]) ).
fof(f59,plain,
cC4(iV21081),
inference(cnf_transformation,[],[f16]) ).
fof(f60,plain,
( ~ cowlThing(sK1)
| cowlNothing(sK1)
| ~ xsd_integer(sK2)
| xsd_string(sK2)
| ~ cowlThing(iV21080)
| ~ cC12(iV21080)
| ~ cC10(iV21081)
| ~ cowlThing(iV21081) ),
inference(cnf_transformation,[],[f36]) ).
fof(f61,plain,
( ~ cowlThing(sK1)
| cowlNothing(sK1)
| xsd_integer(sK2)
| ~ xsd_string(sK2)
| ~ cowlThing(iV21080)
| ~ cC12(iV21080)
| ~ cC10(iV21081)
| ~ cowlThing(iV21081) ),
inference(cnf_transformation,[],[f36]) ).
fof(f63,definition,
( spl3_1
<=> cowlThing(iV21081) ),
introduced(definition,[new_symbols(definition,[spl3_1])],[avatar_definition]) ).
fof(f67,definition,
( spl3_2
<=> cC10(iV21081) ),
introduced(definition,[new_symbols(definition,[spl3_2])],[avatar_definition]) ).
fof(f69,plain,
( ~ cC10(iV21081)
| spl3_2 ),
inference(avatar_component_clause,[],[f67]) ).
fof(f71,definition,
( spl3_3
<=> cC12(iV21080) ),
introduced(definition,[new_symbols(definition,[spl3_3])],[avatar_definition]) ).
fof(f75,definition,
( spl3_4
<=> cowlThing(iV21080) ),
introduced(definition,[new_symbols(definition,[spl3_4])],[avatar_definition]) ).
fof(f79,definition,
( spl3_5
<=> xsd_string(sK2) ),
introduced(definition,[new_symbols(definition,[spl3_5])],[avatar_definition]) ).
fof(f80,plain,
( ~ xsd_string(sK2)
| spl3_5 ),
inference(avatar_component_clause,[],[f79]) ).
fof(f81,plain,
( xsd_string(sK2)
| ~ spl3_5 ),
inference(avatar_component_clause,[],[f79]) ).
fof(f83,definition,
( spl3_6
<=> xsd_integer(sK2) ),
introduced(definition,[new_symbols(definition,[spl3_6])],[avatar_definition]) ).
fof(f84,plain,
( xsd_integer(sK2)
| ~ spl3_6 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f85,plain,
( ~ xsd_integer(sK2)
| spl3_6 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f87,definition,
( spl3_7
<=> cowlNothing(sK1) ),
introduced(definition,[new_symbols(definition,[spl3_7])],[avatar_definition]) ).
fof(f89,plain,
( cowlNothing(sK1)
| ~ spl3_7 ),
inference(avatar_component_clause,[],[f87]) ).
fof(f91,definition,
( spl3_8
<=> cowlThing(sK1) ),
introduced(definition,[new_symbols(definition,[spl3_8])],[avatar_definition]) ).
fof(f93,plain,
( ~ cowlThing(sK1)
| spl3_8 ),
inference(avatar_component_clause,[],[f91]) ).
fof(f94,plain,
( ~ spl3_1
| ~ spl3_2
| ~ spl3_3
| ~ spl3_4
| spl3_5
| ~ spl3_6
| spl3_7
| ~ spl3_8 ),
inference(avatar_split_clause,[],[f60,f91,f87,f83,f79,f75,f71,f67,f63]) ).
fof(f95,plain,
( ~ spl3_1
| ~ spl3_2
| ~ spl3_3
| ~ spl3_4
| ~ spl3_5
| spl3_6
| spl3_7
| ~ spl3_8 ),
inference(avatar_split_clause,[],[f61,f91,f87,f83,f79,f75,f71,f67,f63]) ).
fof(f96,plain,
spl3_1,
inference(avatar_split_clause,[],[f57,f63]) ).
fof(f97,plain,
spl3_4,
inference(avatar_split_clause,[],[f52,f75]) ).
fof(f100,plain,
cC12(iV21080),
inference(resolution,[],[f50,f51]) ).
fof(f101,plain,
spl3_3,
inference(avatar_split_clause,[],[f100,f71]) ).
fof(f105,plain,
( ~ cC2(iV21081)
| cC10(iV21081) ),
inference(resolution,[],[f43,f59]) ).
fof(f106,plain,
cC10(iV21081),
inference(forward_subsumption_resolution,[],[f105,f58]) ).
fof(f107,plain,
( $false
| spl3_2 ),
inference(forward_subsumption_resolution,[],[f106,f69]) ).
fof(f108,plain,
spl3_2,
inference(avatar_contradiction_clause,[],[f107]) ).
fof(f109,plain,
( $false
| spl3_8 ),
inference(forward_subsumption_resolution,[],[f93,f38]) ).
fof(f110,plain,
spl3_8,
inference(avatar_contradiction_clause,[],[f109]) ).
fof(f113,plain,
( xsd_string(sK2)
| spl3_6 ),
inference(resolution,[],[f85,f40]) ).
fof(f114,plain,
( $false
| spl3_5
| spl3_6 ),
inference(forward_subsumption_resolution,[],[f113,f80]) ).
fof(f115,plain,
( spl3_5
| spl3_6 ),
inference(avatar_contradiction_clause,[],[f114]) ).
fof(f116,plain,
( $false
| ~ spl3_7 ),
inference(forward_subsumption_resolution,[],[f89,f37]) ).
fof(f117,plain,
~ spl3_7,
inference(avatar_contradiction_clause,[],[f116]) ).
fof(f118,plain,
( ~ xsd_string(sK2)
| ~ spl3_6 ),
inference(resolution,[],[f84,f39]) ).
fof(f119,plain,
( $false
| ~ spl3_5
| ~ spl3_6 ),
inference(forward_subsumption_resolution,[],[f118,f81]) ).
fof(f120,plain,
( ~ spl3_5
| ~ spl3_6 ),
inference(avatar_contradiction_clause,[],[f119]) ).
cnf(s1,plain,
( ~ spl3_1
| ~ spl3_2
| ~ spl3_3
| ~ spl3_4
| spl3_5
| ~ spl3_6
| spl3_7
| ~ spl3_8 ),
inference(sat_conversion,[],[f94]) ).
cnf(s2,plain,
( ~ spl3_1
| ~ spl3_2
| ~ spl3_3
| ~ spl3_4
| ~ spl3_5
| spl3_6
| spl3_7
| ~ spl3_8 ),
inference(sat_conversion,[],[f95]) ).
cnf(s3,plain,
spl3_1,
inference(sat_conversion,[],[f96]) ).
cnf(s4,plain,
spl3_4,
inference(sat_conversion,[],[f97]) ).
cnf(s5,plain,
spl3_3,
inference(sat_conversion,[],[f101]) ).
cnf(s6,plain,
spl3_2,
inference(sat_conversion,[],[f108]) ).
cnf(s7,plain,
spl3_8,
inference(sat_conversion,[],[f110]) ).
cnf(s8,plain,
( spl3_5
| spl3_6 ),
inference(sat_conversion,[],[f115]) ).
cnf(s9,plain,
~ spl3_7,
inference(sat_conversion,[],[f117]) ).
cnf(s10,plain,
( ~ spl3_5
| ~ spl3_6 ),
inference(sat_conversion,[],[f120]) ).
cnf(s11,plain,
( ~ spl3_5
| spl3_6 ),
inference(rat,[],[s2,s7,s9,s4,s5,s6,s3]) ).
cnf(s12,plain,
( spl3_5
| ~ spl3_6 ),
inference(rat,[],[s1,s7,s9,s4,s5,s6,s3]) ).
cnf(s13,plain,
spl3_5,
inference(rat,[],[s12,s8]) ).
cnf(s14,plain,
~ spl3_6,
inference(rat,[],[s10,s13]) ).
cnf(s15,plain,
$false,
inference(rat,[],[s11,s14,s13]) ).
fof(f121,plain,
$false,
inference(avatar_sat_refutation,[],[s15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS152+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.39 % Computer : n020.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Sun Sep 27 13:31:19 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.42 Running first-order model finding
% 0.13/0.42 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
% 0.13/0.46 % (3388426)Will run a generic schedule for satisfiability detection.
% 0.13/0.46 % (3388436)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1898609831:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.13/0.46 % (3388436) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3388426-3388436"...
% 0.13/0.46 % (3388431)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=902663894_2999 on theBenchmark for (2999ds/0Mi)
% 0.13/0.46 % (3388436)...printing done.
% 0.13/0.46 % (3388434)dis+10_1_sil=32000:sp=arity:random_seed=136360536:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.13/0.46 % (3388433)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3853381010:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.13/0.46 % (3388435)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3254487876:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.13/0.46 % (3388437)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4261561639:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.13/0.46 % TRYING [1]
% 0.13/0.46 % TRYING [2]
% 0.13/0.46 % (3388436)Refutation found. Thanks to Tanya!
% 0.13/0.46 % SZS status Theorem for theBenchmark
% 0.13/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.46 % (3388436)------------------------------
% 0.13/0.46 % (3388436)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.13/0.46 % (3388436)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.13/0.46 % (3388436)CaDiCaL version: 2.1.3
% 0.13/0.46 % (3388436)Termination reason: Refutation
% 0.13/0.46 % (3388436)Time elapsed: 0.006 s
% 0.13/0.46 % (3388436)Peak memory usage: 12 MB
% 0.13/0.46 % (3388436)Instructions burned: 2 (million)
% 0.13/0.46 % (3388426)Success in time 0.031 s
% 0.13/0.46 % Vampire exiting
%------------------------------------------------------------------------------