%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KRS148+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n016.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 11:41:46 AM UTC 2026
% Result : Theorem 2.73s 1.27s
% Output : Refutation 3.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 14
% Syntax : Number of formulae : 79 ( 23 unt; 8 def)
% Number of atoms : 225 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 247 ( 101 ~; 100 |; 30 &)
% ( 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 : 26 ( 0 sgn 22 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).
fof(f2,axiom,
! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
fof(f26,axiom,
! [X0] :
( cC140(X0)
<=> ( cTOP(X0)
& cC138(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_25) ).
fof(f72,axiom,
! [X0] :
( cTEST(X0)
<=> ( cC140(X0)
& cC116(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_71) ).
fof(f73,axiom,
cTEST(iV5475),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_72) ).
fof(f90,conjecture,
( ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& cC138(iV5475)
& cowlThing(iV5475)
& cC116(iV5475)
& cC140(iV5475) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).
fof(f91,negated_conjecture,
~ ( ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& cC138(iV5475)
& cowlThing(iV5475)
& cC116(iV5475)
& cC140(iV5475) ),
inference(negated_conjecture,[status(cth)],[f90]) ).
fof(f92,plain,
~ ( ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& cC138(iV5475)
& cowlThing(iV5475)
& cC116(iV5475)
& cC140(iV5475) ),
inference(rectify,[],[f91]) ).
fof(f93,plain,
! [X0] :
( cTEST(X0)
=> ( cC140(X0)
& cC116(X0) ) ),
inference(unused_predicate_definition_removal,[],[f72]) ).
fof(f94,plain,
! [X0] :
( ( cC140(X0)
& cC116(X0) )
| ~ cTEST(X0) ),
inference(ennf_transformation,[],[f93]) ).
fof(f99,plain,
( ? [X0] :
( ~ cowlThing(X0)
| cowlNothing(X0) )
| ? [X1] :
( xsd_string(X1)
<~> ~ xsd_integer(X1) )
| ~ cC138(iV5475)
| ~ cowlThing(iV5475)
| ~ cC116(iV5475)
| ~ cC140(iV5475) ),
inference(ennf_transformation,[],[f92]) ).
fof(f100,plain,
! [X0] :
( ( xsd_string(X0)
| xsd_integer(X0) )
& ( ~ xsd_integer(X0)
| ~ xsd_string(X0) ) ),
inference(nnf_transformation,[],[f2]) ).
fof(f160,plain,
! [X0] :
( ( cC140(X0)
| ~ cTOP(X0)
| ~ cC138(X0) )
& ( ( cTOP(X0)
& cC138(X0) )
| ~ cC140(X0) ) ),
inference(nnf_transformation,[],[f26]) ).
fof(f161,plain,
! [X0] :
( ( cC140(X0)
| ~ cTOP(X0)
| ~ cC138(X0) )
& ( ( cTOP(X0)
& cC138(X0) )
| ~ cC140(X0) ) ),
inference(flattening,[],[f160]) ).
fof(f277,plain,
( ? [X0] :
( ~ cowlThing(X0)
| cowlNothing(X0) )
| ? [X1] :
( ( xsd_integer(X1)
| ~ xsd_string(X1) )
& ( ~ xsd_integer(X1)
| xsd_string(X1) ) )
| ~ cC138(iV5475)
| ~ cowlThing(iV5475)
| ~ cC116(iV5475)
| ~ cC140(iV5475) ),
inference(nnf_transformation,[],[f99]) ).
fof(f278,plain,
( ~ cowlThing(sK38)
| cowlNothing(sK38)
| ( ( xsd_integer(sK39)
| ~ xsd_string(sK39) )
& ( ~ xsd_integer(sK39)
| xsd_string(sK39) ) )
| ~ cC138(iV5475)
| ~ cowlThing(iV5475)
| ~ cC116(iV5475)
| ~ cC140(iV5475) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK38,sK39]),skolemize(X0,sK38),skolemize(X1,sK39)],[f277]) ).
fof(f279,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f280,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f281,plain,
! [X0] :
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[],[f100]) ).
fof(f282,plain,
! [X0] :
( xsd_integer(X0)
| xsd_string(X0) ),
inference(cnf_transformation,[],[f100]) ).
fof(f352,plain,
! [X0] :
( ~ cC140(X0)
| cC138(X0) ),
inference(cnf_transformation,[],[f161]) ).
fof(f490,plain,
! [X0] :
( ~ cTEST(X0)
| cC116(X0) ),
inference(cnf_transformation,[],[f94]) ).
fof(f491,plain,
! [X0] :
( ~ cTEST(X0)
| cC140(X0) ),
inference(cnf_transformation,[],[f94]) ).
fof(f492,plain,
cTEST(iV5475),
inference(cnf_transformation,[],[f73]) ).
fof(f509,plain,
( ~ cowlThing(sK38)
| cowlNothing(sK38)
| ~ xsd_integer(sK39)
| xsd_string(sK39)
| ~ cC138(iV5475)
| ~ cowlThing(iV5475)
| ~ cC116(iV5475)
| ~ cC140(iV5475) ),
inference(cnf_transformation,[],[f278]) ).
fof(f510,plain,
( ~ cowlThing(sK38)
| cowlNothing(sK38)
| xsd_integer(sK39)
| ~ xsd_string(sK39)
| ~ cC138(iV5475)
| ~ cowlThing(iV5475)
| ~ cC116(iV5475)
| ~ cC140(iV5475) ),
inference(cnf_transformation,[],[f278]) ).
fof(f512,definition,
( spl40_1
<=> cC140(iV5475) ),
introduced(definition,[new_symbols(definition,[spl40_1])],[avatar_definition]) ).
fof(f513,plain,
( ~ cC140(iV5475)
| spl40_1 ),
inference(avatar_component_clause,[],[f512]) ).
fof(f515,definition,
( spl40_2
<=> cC116(iV5475) ),
introduced(definition,[new_symbols(definition,[spl40_2])],[avatar_definition]) ).
fof(f516,plain,
( ~ cC116(iV5475)
| spl40_2 ),
inference(avatar_component_clause,[],[f515]) ).
fof(f518,definition,
( spl40_3
<=> cowlThing(iV5475) ),
introduced(definition,[new_symbols(definition,[spl40_3])],[avatar_definition]) ).
fof(f519,plain,
( ~ cowlThing(iV5475)
| spl40_3 ),
inference(avatar_component_clause,[],[f518]) ).
fof(f521,definition,
( spl40_4
<=> cC138(iV5475) ),
introduced(definition,[new_symbols(definition,[spl40_4])],[avatar_definition]) ).
fof(f522,plain,
( ~ cC138(iV5475)
| spl40_4 ),
inference(avatar_component_clause,[],[f521]) ).
fof(f524,definition,
( spl40_5
<=> xsd_string(sK39) ),
introduced(definition,[new_symbols(definition,[spl40_5])],[avatar_definition]) ).
fof(f527,definition,
( spl40_6
<=> xsd_integer(sK39) ),
introduced(definition,[new_symbols(definition,[spl40_6])],[avatar_definition]) ).
fof(f528,plain,
( ~ xsd_integer(sK39)
| spl40_6 ),
inference(avatar_component_clause,[],[f527]) ).
fof(f530,definition,
( spl40_7
<=> cowlNothing(sK38) ),
introduced(definition,[new_symbols(definition,[spl40_7])],[avatar_definition]) ).
fof(f531,plain,
( cowlNothing(sK38)
| ~ spl40_7 ),
inference(avatar_component_clause,[],[f530]) ).
fof(f533,definition,
( spl40_8
<=> cowlThing(sK38) ),
introduced(definition,[new_symbols(definition,[spl40_8])],[avatar_definition]) ).
fof(f534,plain,
( ~ cowlThing(sK38)
| spl40_8 ),
inference(avatar_component_clause,[],[f533]) ).
fof(f535,plain,
( ~ spl40_1
| ~ spl40_2
| ~ spl40_3
| ~ spl40_4
| spl40_5
| ~ spl40_6
| spl40_7
| ~ spl40_8 ),
inference(avatar_split_clause,[],[f509,f533,f530,f527,f524,f521,f518,f515,f512]) ).
fof(f537,plain,
( xsd_integer(sK39)
| ~ spl40_6 ),
inference(avatar_component_clause,[],[f527]) ).
fof(f538,plain,
( ~ spl40_1
| ~ spl40_2
| ~ spl40_3
| ~ spl40_4
| ~ spl40_5
| spl40_6
| spl40_7
| ~ spl40_8 ),
inference(avatar_split_clause,[],[f510,f533,f530,f527,f524,f521,f518,f515,f512]) ).
fof(f545,plain,
cC116(iV5475),
inference(resolution,[],[f490,f492]) ).
fof(f547,plain,
cC140(iV5475),
inference(resolution,[],[f491,f492]) ).
fof(f548,plain,
( $false
| spl40_1 ),
inference(resolution,[],[f547,f513]) ).
fof(f549,plain,
cC138(iV5475),
inference(resolution,[],[f547,f352]) ).
fof(f550,plain,
spl40_1,
inference(avatar_contradiction_clause,[],[f548]) ).
fof(f551,plain,
( $false
| spl40_2 ),
inference(resolution,[],[f516,f545]) ).
fof(f552,plain,
spl40_2,
inference(avatar_contradiction_clause,[],[f551]) ).
fof(f553,plain,
( $false
| spl40_3 ),
inference(resolution,[],[f519,f280]) ).
fof(f554,plain,
spl40_3,
inference(avatar_contradiction_clause,[],[f553]) ).
fof(f555,plain,
( $false
| spl40_4 ),
inference(resolution,[],[f549,f522]) ).
fof(f556,plain,
spl40_4,
inference(avatar_contradiction_clause,[],[f555]) ).
fof(f557,plain,
( $false
| spl40_8 ),
inference(resolution,[],[f534,f280]) ).
fof(f558,plain,
spl40_8,
inference(avatar_contradiction_clause,[],[f557]) ).
fof(f559,plain,
( xsd_string(sK39)
| spl40_6 ),
inference(resolution,[],[f528,f282]) ).
fof(f560,plain,
( spl40_5
| spl40_6 ),
inference(avatar_split_clause,[],[f559,f527,f524]) ).
fof(f561,plain,
( $false
| ~ spl40_7 ),
inference(resolution,[],[f531,f279]) ).
fof(f562,plain,
~ spl40_7,
inference(avatar_contradiction_clause,[],[f561]) ).
fof(f563,plain,
( ~ xsd_string(sK39)
| ~ spl40_6 ),
inference(resolution,[],[f537,f281]) ).
fof(f564,plain,
( ~ spl40_5
| ~ spl40_6 ),
inference(avatar_split_clause,[],[f563,f527,f524]) ).
cnf(s1,plain,
( ~ spl40_1
| ~ spl40_2
| ~ spl40_3
| ~ spl40_4
| spl40_5
| ~ spl40_6
| spl40_7
| ~ spl40_8 ),
inference(sat_conversion,[],[f535]) ).
cnf(s2,plain,
( ~ spl40_1
| ~ spl40_2
| ~ spl40_3
| ~ spl40_4
| ~ spl40_5
| spl40_6
| spl40_7
| ~ spl40_8 ),
inference(sat_conversion,[],[f538]) ).
cnf(s3,plain,
spl40_1,
inference(sat_conversion,[],[f550]) ).
cnf(s4,plain,
spl40_2,
inference(sat_conversion,[],[f552]) ).
cnf(s5,plain,
spl40_3,
inference(sat_conversion,[],[f554]) ).
cnf(s6,plain,
spl40_4,
inference(sat_conversion,[],[f556]) ).
cnf(s7,plain,
spl40_8,
inference(sat_conversion,[],[f558]) ).
cnf(s8,plain,
( spl40_5
| spl40_6 ),
inference(sat_conversion,[],[f560]) ).
cnf(s9,plain,
~ spl40_7,
inference(sat_conversion,[],[f562]) ).
cnf(s10,plain,
( ~ spl40_5
| ~ spl40_6 ),
inference(sat_conversion,[],[f564]) ).
cnf(s11,plain,
( ~ spl40_5
| spl40_6 ),
inference(rat,[],[s2,s7,s9,s6,s5,s4,s3]) ).
cnf(s12,plain,
( spl40_5
| ~ spl40_6 ),
inference(rat,[],[s1,s7,s9,s6,s5,s4,s3]) ).
cnf(s13,plain,
spl40_5,
inference(rat,[],[s12,s8]) ).
cnf(s14,plain,
~ spl40_6,
inference(rat,[],[s10,s13]) ).
cnf(s15,plain,
$false,
inference(rat,[],[s11,s14,s13]) ).
fof(f565,plain,
$false,
inference(avatar_sat_refutation,[],[s15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS148+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 % Computer : n016.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 13:34:47 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.43 Running first-order theorem proving
% 0.11/0.43 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.73/1.27 % (2654580)Detected formulas, will run a generic FOF schedule.
% 2.73/1.27 % (2654588)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3486462191:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.73/1.27 % (2654588)Refutation not found, incomplete strategy
% 2.73/1.27 % (2654588)------------------------------
% 2.73/1.27 % (2654588)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.73/1.27 % (2654588)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.73/1.27 % (2654588)CaDiCaL version: 2.1.3
% 2.73/1.27 % (2654588)Termination reason: Refutation not found, incomplete strategy
% 2.73/1.27 % (2654588)Time elapsed: 0.0000 s
% 2.73/1.27 % (2654588)Peak memory usage: 87 MB
% 2.73/1.27 % (2654591)dis-21_1_sil=8000:lcm=predicate:random_seed=709746629:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 2.73/1.27 % (2654586)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1192076504:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.73/1.27 % (2654585)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1703290009:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.73/1.27 % (2654587)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3159955252:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.73/1.27 % (2654590)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=416503967:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.73/1.27 % (2654589)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=930647908:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.73/1.27 % (2654589)Refutation not found, incomplete strategy
% 2.73/1.27 % (2654589)------------------------------
% 2.73/1.27 % (2654589)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.73/1.27 % (2654589)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.73/1.27 % (2654589)CaDiCaL version: 2.1.3
% 2.73/1.27 % (2654589)Termination reason: Refutation not found, incomplete strategy
% 2.73/1.27 % (2654589)Time elapsed: 0.001 s
% 2.73/1.27 % (2654589)Peak memory usage: 87 MB
% 2.73/1.27 % (2654591)First to succeed.
% 2.73/1.27 % (2654590)Also succeeded, but the first one will report.
% 2.73/1.27 % (2654591)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2654580"
% 2.73/1.27 % (2654588)------------------------------
% 2.73/1.27 % (2654588)------------------------------
% 2.73/1.27 % (2654599)lrs+10_1_sil=8000:sp=occurrence:random_seed=2000136881:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 2.73/1.27 % (2654599)Also succeeded, but the first one will report.
% 2.73/1.27 % (2654589)------------------------------
% 2.73/1.27 % (2654589)------------------------------
% 2.73/1.27 % (2654591)Refutation found. Thanks to Tanya!
% 2.73/1.27 % SZS status Theorem for theBenchmark
% 2.73/1.27 % SZS output start Proof for theBenchmark
% See solution above
% 3.45/1.46 % (2654591)------------------------------
% 3.45/1.46 % (2654591)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.45/1.46 % (2654591)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.45/1.46 % (2654591)CaDiCaL version: 2.1.3
% 3.45/1.46 % (2654591)Termination reason: Refutation
% 3.45/1.46 % (2654591)Time elapsed: 0.005 s
% 3.45/1.46 % (2654591)Peak memory usage: 89 MB
% 3.45/1.46 % (2654591)Instructions burned: 7 (million)
% 3.45/1.46 % (2654591)------------------------------
% 3.45/1.46 % (2654591)------------------------------
% 3.45/1.46 % (2654580)Success in time 0.406 s
% 3.45/1.46 % Vampire exiting
%------------------------------------------------------------------------------