%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : KRS156+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 : n010.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 0.09s 0.45s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 15
% Syntax : Number of formulae : 78 ( 23 unt; 8 def)
% Number of atoms : 200 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 208 ( 86 ~; 83 |; 23 &)
% ( 14 <=>; 1 =>; 0 <=; 1 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 18 ( 17 usr; 9 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 21 ( 0 sgn 19 !; 2 ?)
% 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(f50,axiom,
! [X0] :
( cC140(X0)
<=> ( cTOP(X0)
& cC138(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_49) ).
fof(f128,axiom,
! [X0] :
( cTEST(X0)
<=> ( cC140(X0)
& cC116(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_127) ).
fof(f130,axiom,
cowlThing(iV5475),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_129) ).
fof(f132,axiom,
cTEST(iV5475),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_131) ).
fof(f146,conjecture,
( ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& cC116(iV5475)
& cC140(iV5475)
& cowlThing(iV5475)
& cC138(iV5475) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).
fof(f147,negated_conjecture,
~ ( ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& cC116(iV5475)
& cC140(iV5475)
& cowlThing(iV5475)
& cC138(iV5475) ),
inference(negated_conjecture,[status(cth)],[f146]) ).
fof(f148,plain,
~ ( ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& cC116(iV5475)
& cC140(iV5475)
& cowlThing(iV5475)
& cC138(iV5475) ),
inference(rectify,[],[f147]) ).
fof(f149,plain,
! [X0] :
( cTEST(X0)
=> ( cC140(X0)
& cC116(X0) ) ),
inference(unused_predicate_definition_removal,[],[f128]) ).
fof(f188,plain,
! [X0] :
( ( cC140(X0)
& cC116(X0) )
| ~ cTEST(X0) ),
inference(ennf_transformation,[],[f149]) ).
fof(f193,plain,
( ? [X0] :
( ~ cowlThing(X0)
| cowlNothing(X0) )
| ? [X1] :
( xsd_string(X1)
<~> ~ xsd_integer(X1) )
| ~ cC116(iV5475)
| ~ cC140(iV5475)
| ~ cowlThing(iV5475)
| ~ cC138(iV5475) ),
inference(ennf_transformation,[],[f148]) ).
fof(f194,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f195,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f196,plain,
! [X0] :
( xsd_integer(X0)
| xsd_string(X0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f197,plain,
! [X0] :
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f311,plain,
! [X0] :
( ~ cC140(X0)
| cC138(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f510,plain,
! [X0] :
( ~ cTEST(X0)
| cC116(X0) ),
inference(cnf_transformation,[],[f188]) ).
fof(f511,plain,
! [X0] :
( ~ cTEST(X0)
| cC140(X0) ),
inference(cnf_transformation,[],[f188]) ).
fof(f513,plain,
cowlThing(iV5475),
inference(cnf_transformation,[],[f130]) ).
fof(f515,plain,
cTEST(iV5475),
inference(cnf_transformation,[],[f132]) ).
fof(f529,plain,
( ~ cC138(iV5475)
| ~ cowlThing(iV5475)
| ~ cC140(iV5475)
| ~ cC116(iV5475)
| xsd_integer(sK90)
| ~ xsd_string(sK90)
| cowlNothing(sK91)
| ~ cowlThing(sK91) ),
inference(cnf_transformation,[],[f193]) ).
fof(f530,plain,
( ~ cC138(iV5475)
| ~ cowlThing(iV5475)
| ~ cC140(iV5475)
| ~ cC116(iV5475)
| ~ xsd_integer(sK90)
| xsd_string(sK90)
| cowlNothing(sK91)
| ~ cowlThing(sK91) ),
inference(cnf_transformation,[],[f193]) ).
fof(f532,definition,
( spl92_1
<=> cowlThing(sK91) ),
introduced(definition,[new_symbols(definition,[spl92_1])],[avatar_definition]) ).
fof(f534,plain,
( ~ cowlThing(sK91)
| spl92_1 ),
inference(avatar_component_clause,[],[f532]) ).
fof(f536,definition,
( spl92_2
<=> cowlNothing(sK91) ),
introduced(definition,[new_symbols(definition,[spl92_2])],[avatar_definition]) ).
fof(f538,plain,
( cowlNothing(sK91)
| ~ spl92_2 ),
inference(avatar_component_clause,[],[f536]) ).
fof(f540,definition,
( spl92_3
<=> xsd_string(sK90) ),
introduced(definition,[new_symbols(definition,[spl92_3])],[avatar_definition]) ).
fof(f541,plain,
( xsd_string(sK90)
| ~ spl92_3 ),
inference(avatar_component_clause,[],[f540]) ).
fof(f542,plain,
( ~ xsd_string(sK90)
| spl92_3 ),
inference(avatar_component_clause,[],[f540]) ).
fof(f544,definition,
( spl92_4
<=> xsd_integer(sK90) ),
introduced(definition,[new_symbols(definition,[spl92_4])],[avatar_definition]) ).
fof(f545,plain,
( ~ xsd_integer(sK90)
| spl92_4 ),
inference(avatar_component_clause,[],[f544]) ).
fof(f546,plain,
( xsd_integer(sK90)
| ~ spl92_4 ),
inference(avatar_component_clause,[],[f544]) ).
fof(f548,definition,
( spl92_5
<=> cC116(iV5475) ),
introduced(definition,[new_symbols(definition,[spl92_5])],[avatar_definition]) ).
fof(f552,definition,
( spl92_6
<=> cC140(iV5475) ),
introduced(definition,[new_symbols(definition,[spl92_6])],[avatar_definition]) ).
fof(f553,plain,
( cC140(iV5475)
| ~ spl92_6 ),
inference(avatar_component_clause,[],[f552]) ).
fof(f554,plain,
( ~ cC140(iV5475)
| spl92_6 ),
inference(avatar_component_clause,[],[f552]) ).
fof(f556,definition,
( spl92_7
<=> cowlThing(iV5475) ),
introduced(definition,[new_symbols(definition,[spl92_7])],[avatar_definition]) ).
fof(f560,definition,
( spl92_8
<=> cC138(iV5475) ),
introduced(definition,[new_symbols(definition,[spl92_8])],[avatar_definition]) ).
fof(f562,plain,
( ~ cC138(iV5475)
| spl92_8 ),
inference(avatar_component_clause,[],[f560]) ).
fof(f563,plain,
( ~ spl92_1
| spl92_2
| ~ spl92_3
| spl92_4
| ~ spl92_5
| ~ spl92_6
| ~ spl92_7
| ~ spl92_8 ),
inference(avatar_split_clause,[],[f529,f560,f556,f552,f548,f544,f540,f536,f532]) ).
fof(f564,plain,
( ~ spl92_1
| spl92_2
| spl92_3
| ~ spl92_4
| ~ spl92_5
| ~ spl92_6
| ~ spl92_7
| ~ spl92_8 ),
inference(avatar_split_clause,[],[f530,f560,f556,f552,f548,f544,f540,f536,f532]) ).
fof(f565,plain,
spl92_7,
inference(avatar_split_clause,[],[f513,f556]) ).
fof(f566,plain,
( $false
| spl92_1 ),
inference(forward_subsumption_resolution,[],[f534,f195]) ).
fof(f567,plain,
spl92_1,
inference(avatar_contradiction_clause,[],[f566]) ).
fof(f572,plain,
cC116(iV5475),
inference(resolution,[],[f510,f515]) ).
fof(f573,plain,
spl92_5,
inference(avatar_split_clause,[],[f572,f548]) ).
fof(f574,plain,
cC140(iV5475),
inference(resolution,[],[f511,f515]) ).
fof(f575,plain,
( $false
| spl92_6 ),
inference(forward_subsumption_resolution,[],[f574,f554]) ).
fof(f576,plain,
spl92_6,
inference(avatar_contradiction_clause,[],[f575]) ).
fof(f577,plain,
( cC138(iV5475)
| ~ spl92_6 ),
inference(resolution,[],[f553,f311]) ).
fof(f578,plain,
( $false
| ~ spl92_6
| spl92_8 ),
inference(forward_subsumption_resolution,[],[f577,f562]) ).
fof(f579,plain,
( ~ spl92_6
| spl92_8 ),
inference(avatar_contradiction_clause,[],[f578]) ).
fof(f580,plain,
( xsd_string(sK90)
| spl92_4 ),
inference(resolution,[],[f545,f196]) ).
fof(f581,plain,
( $false
| spl92_3
| spl92_4 ),
inference(forward_subsumption_resolution,[],[f580,f542]) ).
fof(f582,plain,
( spl92_3
| spl92_4 ),
inference(avatar_contradiction_clause,[],[f581]) ).
fof(f583,plain,
( $false
| ~ spl92_2 ),
inference(forward_subsumption_resolution,[],[f538,f194]) ).
fof(f584,plain,
~ spl92_2,
inference(avatar_contradiction_clause,[],[f583]) ).
fof(f585,plain,
( ~ xsd_string(sK90)
| ~ spl92_4 ),
inference(resolution,[],[f546,f197]) ).
fof(f586,plain,
( $false
| ~ spl92_3
| ~ spl92_4 ),
inference(forward_subsumption_resolution,[],[f585,f541]) ).
fof(f587,plain,
( ~ spl92_3
| ~ spl92_4 ),
inference(avatar_contradiction_clause,[],[f586]) ).
cnf(s1,plain,
( ~ spl92_1
| spl92_2
| ~ spl92_3
| spl92_4
| ~ spl92_5
| ~ spl92_6
| ~ spl92_7
| ~ spl92_8 ),
inference(sat_conversion,[],[f563]) ).
cnf(s2,plain,
( ~ spl92_1
| spl92_2
| spl92_3
| ~ spl92_4
| ~ spl92_5
| ~ spl92_6
| ~ spl92_7
| ~ spl92_8 ),
inference(sat_conversion,[],[f564]) ).
cnf(s3,plain,
spl92_7,
inference(sat_conversion,[],[f565]) ).
cnf(s4,plain,
spl92_1,
inference(sat_conversion,[],[f567]) ).
cnf(s5,plain,
spl92_5,
inference(sat_conversion,[],[f573]) ).
cnf(s6,plain,
spl92_6,
inference(sat_conversion,[],[f576]) ).
cnf(s7,plain,
( ~ spl92_6
| spl92_8 ),
inference(sat_conversion,[],[f579]) ).
cnf(s8,plain,
( spl92_3
| spl92_4 ),
inference(sat_conversion,[],[f582]) ).
cnf(s9,plain,
~ spl92_2,
inference(sat_conversion,[],[f584]) ).
cnf(s10,plain,
( ~ spl92_3
| ~ spl92_4 ),
inference(sat_conversion,[],[f587]) ).
cnf(s11,plain,
spl92_8,
inference(rat,[],[s7,s6]) ).
cnf(s12,plain,
( spl92_3
| ~ spl92_4 ),
inference(rat,[],[s2,s11,s3,s6,s5,s9,s4]) ).
cnf(s13,plain,
( ~ spl92_3
| spl92_4 ),
inference(rat,[],[s1,s11,s3,s6,s5,s9,s4]) ).
cnf(s14,plain,
spl92_3,
inference(rat,[],[s12,s8]) ).
cnf(s15,plain,
~ spl92_4,
inference(rat,[],[s10,s14]) ).
cnf(s16,plain,
$false,
inference(rat,[],[s13,s15,s14]) ).
fof(f588,plain,
$false,
inference(avatar_sat_refutation,[],[s16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS156+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.37 % Computer : n010.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 27 13:31:02 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.40 Running first-order model finding
% 0.09/0.40 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
% 0.09/0.45 % (970397)Will run a generic schedule for satisfiability detection.
% 0.09/0.45 % (970406)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2635891008:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.09/0.45 % (970403)% WARNING: option uhcvi not known.
% 0.09/0.45 % (970406) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-970397-970406"...
% 0.09/0.45 % (970403)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3562335751:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.09/0.45 % (970402)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2511805955_2999 on theBenchmark for (2999ds/0Mi)
% 0.09/0.45 % (970406)...printing done.
% 0.09/0.45 % (970404)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2608959848:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.09/0.45 % (970405)dis+10_1_sil=32000:sp=arity:random_seed=846116865:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.09/0.45 % (970408)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3312095101:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.09/0.45 % (970407)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1957886172:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.09/0.45 % (970406)Refutation found. Thanks to Tanya!
% 0.09/0.45 % SZS status Theorem for theBenchmark
% 0.09/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.45 % (970406)------------------------------
% 0.09/0.45 % (970406)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.45 % (970406)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.45 % (970406)CaDiCaL version: 2.1.3
% 0.09/0.45 % (970406)Termination reason: Refutation
% 0.09/0.45 % (970406)Time elapsed: 0.007 s
% 0.09/0.45 % (970406)Peak memory usage: 13 MB
% 0.09/0.45 % (970406)Instructions burned: 20 (million)
% 0.09/0.45 % (970397)Success in time 0.045 s
% 0.09/0.45 % Vampire exiting
%------------------------------------------------------------------------------