%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KRS129+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 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 11:41:43 AM UTC 2026
% Result : Theorem 3.35s 1.32s
% Output : Refutation 3.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 11
% Syntax : Number of formulae : 63 ( 14 unt; 5 def)
% Number of atoms : 170 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 185 ( 78 ~; 74 |; 21 &)
% ( 11 <=>; 0 =>; 0 <=; 1 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 13 ( 12 usr; 6 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 39 ( 0 sgn 32 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f13,axiom,
! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).
fof(f14,axiom,
! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
fof(f16,axiom,
! [X0] :
( cEuroMP(X0)
<=> ? [X1] :
( risEuroMPFrom(X0,X1)
& cowlThing(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f18,axiom,
! [X0,X1] :
( risEuroMPFrom(X0,X1)
<=> rhasEuroMP(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(f26,axiom,
rhasEuroMP(iUK,iKinnock),
file('/export/starexec/sandbox/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/sandbox/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(f56,plain,
! [X0] :
( ( xsd_string(X0)
| xsd_integer(X0) )
& ( ~ xsd_integer(X0)
| ~ xsd_string(X0) ) ),
inference(nnf_transformation,[],[f14]) ).
fof(f59,plain,
! [X0] :
( ( cEuroMP(X0)
| ! [X1] :
( ~ risEuroMPFrom(X0,X1)
| ~ cowlThing(X1) ) )
& ( ? [X1] :
( risEuroMPFrom(X0,X1)
& cowlThing(X1) )
| ~ cEuroMP(X0) ) ),
inference(nnf_transformation,[],[f16]) ).
fof(f60,plain,
! [X0] :
( ( cEuroMP(X0)
| ! [X1] :
( ~ risEuroMPFrom(X0,X1)
| ~ cowlThing(X1) ) )
& ( ? [X2] :
( risEuroMPFrom(X0,X2)
& cowlThing(X2) )
| ~ cEuroMP(X0) ) ),
inference(rectify,[],[f59]) ).
fof(f61,plain,
! [X0] :
( ( cEuroMP(X0)
| ! [X1] :
( ~ risEuroMPFrom(X0,X1)
| ~ cowlThing(X1) ) )
& ( ( risEuroMPFrom(X0,sK0(X0))
& cowlThing(sK0(X0)) )
| ~ cEuroMP(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0))],[f60]) ).
fof(f62,plain,
! [X0,X1] :
( ( risEuroMPFrom(X0,X1)
| ~ rhasEuroMP(X1,X0) )
& ( rhasEuroMP(X1,X0)
| ~ risEuroMPFrom(X0,X1) ) ),
inference(nnf_transformation,[],[f18]) ).
fof(f63,plain,
( ? [X0] :
( ~ cowlThing(X0)
| cowlNothing(X0) )
| ? [X1] :
( ( xsd_integer(X1)
| ~ xsd_string(X1) )
& ( ~ xsd_integer(X1)
| xsd_string(X1) ) )
| ~ cEuroMP(iKinnock) ),
inference(nnf_transformation,[],[f55]) ).
fof(f64,plain,
( ~ cowlThing(sK1)
| cowlNothing(sK1)
| ( ( xsd_integer(sK2)
| ~ xsd_string(sK2) )
& ( ~ xsd_integer(sK2)
| xsd_string(sK2) ) )
| ~ cEuroMP(iKinnock) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2]),skolemize(X0,sK1),skolemize(X1,sK2)],[f63]) ).
fof(f77,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[],[f13]) ).
fof(f78,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[],[f13]) ).
fof(f79,plain,
! [X0] :
( ~ xsd_string(X0)
| ~ xsd_integer(X0) ),
inference(cnf_transformation,[],[f56]) ).
fof(f80,plain,
! [X0] :
( xsd_string(X0)
| xsd_integer(X0) ),
inference(cnf_transformation,[],[f56]) ).
fof(f90,plain,
! [X0,X1] :
( ~ cowlThing(X1)
| ~ risEuroMPFrom(X0,X1)
| cEuroMP(X0) ),
inference(cnf_transformation,[],[f61]) ).
fof(f93,plain,
! [X0,X1] :
( risEuroMPFrom(X0,X1)
| ~ rhasEuroMP(X1,X0) ),
inference(cnf_transformation,[],[f62]) ).
fof(f101,plain,
rhasEuroMP(iUK,iKinnock),
inference(cnf_transformation,[],[f26]) ).
fof(f102,plain,
( ~ cowlThing(sK1)
| cowlNothing(sK1)
| ~ xsd_integer(sK2)
| xsd_string(sK2)
| ~ cEuroMP(iKinnock) ),
inference(cnf_transformation,[],[f64]) ).
fof(f103,plain,
( ~ cowlThing(sK1)
| cowlNothing(sK1)
| xsd_integer(sK2)
| ~ xsd_string(sK2)
| ~ cEuroMP(iKinnock) ),
inference(cnf_transformation,[],[f64]) ).
fof(f127,definition,
( spl4_1
<=> cEuroMP(iKinnock) ),
introduced(definition,[new_symbols(definition,[spl4_1])],[avatar_definition]) ).
fof(f128,plain,
( ~ cEuroMP(iKinnock)
| spl4_1 ),
inference(avatar_component_clause,[],[f127]) ).
fof(f130,definition,
( spl4_2
<=> xsd_string(sK2) ),
introduced(definition,[new_symbols(definition,[spl4_2])],[avatar_definition]) ).
fof(f131,plain,
( xsd_string(sK2)
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f130]) ).
fof(f133,definition,
( spl4_3
<=> xsd_integer(sK2) ),
introduced(definition,[new_symbols(definition,[spl4_3])],[avatar_definition]) ).
fof(f136,definition,
( spl4_4
<=> cowlNothing(sK1) ),
introduced(definition,[new_symbols(definition,[spl4_4])],[avatar_definition]) ).
fof(f137,plain,
( cowlNothing(sK1)
| ~ spl4_4 ),
inference(avatar_component_clause,[],[f136]) ).
fof(f139,definition,
( spl4_5
<=> cowlThing(sK1) ),
introduced(definition,[new_symbols(definition,[spl4_5])],[avatar_definition]) ).
fof(f140,plain,
( ~ cowlThing(sK1)
| spl4_5 ),
inference(avatar_component_clause,[],[f139]) ).
fof(f141,plain,
( ~ spl4_1
| spl4_2
| ~ spl4_3
| spl4_4
| ~ spl4_5 ),
inference(avatar_split_clause,[],[f102,f139,f136,f133,f130,f127]) ).
fof(f142,plain,
( ~ xsd_string(sK2)
| spl4_2 ),
inference(avatar_component_clause,[],[f130]) ).
fof(f144,plain,
( ~ spl4_1
| ~ spl4_2
| spl4_3
| spl4_4
| ~ spl4_5 ),
inference(avatar_split_clause,[],[f103,f139,f136,f133,f130,f127]) ).
fof(f148,plain,
! [X0,X1] :
( cEuroMP(X0)
| ~ risEuroMPFrom(X0,X1) ),
inference(resolution,[],[f90,f78]) ).
fof(f149,plain,
( ! [X0] : ~ risEuroMPFrom(iKinnock,X0)
| spl4_1 ),
inference(resolution,[],[f148,f128]) ).
fof(f151,plain,
( ! [X0] : ~ rhasEuroMP(X0,iKinnock)
| spl4_1 ),
inference(resolution,[],[f149,f93]) ).
fof(f152,plain,
( $false
| spl4_1 ),
inference(resolution,[],[f151,f101]) ).
fof(f153,plain,
spl4_1,
inference(avatar_contradiction_clause,[],[f152]) ).
fof(f154,plain,
( $false
| spl4_5 ),
inference(resolution,[],[f140,f78]) ).
fof(f155,plain,
spl4_5,
inference(avatar_contradiction_clause,[],[f154]) ).
fof(f156,plain,
( xsd_integer(sK2)
| spl4_2 ),
inference(resolution,[],[f142,f80]) ).
fof(f157,plain,
( spl4_3
| spl4_2 ),
inference(avatar_split_clause,[],[f156,f130,f133]) ).
fof(f158,plain,
( ~ xsd_integer(sK2)
| ~ spl4_2 ),
inference(resolution,[],[f131,f79]) ).
fof(f159,plain,
( $false
| ~ spl4_4 ),
inference(resolution,[],[f137,f77]) ).
fof(f160,plain,
~ spl4_4,
inference(avatar_contradiction_clause,[],[f159]) ).
fof(f161,plain,
( ~ spl4_3
| ~ spl4_2 ),
inference(avatar_split_clause,[],[f158,f130,f133]) ).
cnf(s1,plain,
( ~ spl4_1
| spl4_2
| ~ spl4_3
| spl4_4
| ~ spl4_5 ),
inference(sat_conversion,[],[f141]) ).
cnf(s2,plain,
( ~ spl4_1
| ~ spl4_2
| spl4_3
| spl4_4
| ~ spl4_5 ),
inference(sat_conversion,[],[f144]) ).
cnf(s3,plain,
spl4_1,
inference(sat_conversion,[],[f153]) ).
cnf(s4,plain,
spl4_5,
inference(sat_conversion,[],[f155]) ).
cnf(s5,plain,
( spl4_2
| spl4_3 ),
inference(sat_conversion,[],[f157]) ).
cnf(s6,plain,
~ spl4_4,
inference(sat_conversion,[],[f160]) ).
cnf(s7,plain,
( ~ spl4_2
| ~ spl4_3 ),
inference(sat_conversion,[],[f161]) ).
cnf(s8,plain,
( ~ spl4_2
| spl4_3 ),
inference(rat,[],[s2,s4,s6,s3]) ).
cnf(s9,plain,
( spl4_2
| ~ spl4_3 ),
inference(rat,[],[s1,s4,s6,s3]) ).
cnf(s10,plain,
spl4_2,
inference(rat,[],[s9,s5]) ).
cnf(s11,plain,
~ spl4_3,
inference(rat,[],[s7,s10]) ).
cnf(s12,plain,
$false,
inference(rat,[],[s8,s11,s10]) ).
fof(f162,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.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.36 % Computer : n002.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sun Sep 27 13:30:37 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.40 Running first-order theorem proving
% 0.14/0.40 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.35/1.32 % (3530386)Detected formulas, will run a generic FOF schedule.
% 3.35/1.32 % (3530468)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=2815922964:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.35/1.32 % (3530467)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=2169015395:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.35/1.32 % (3530473)dis-21_1_sil=8000:lcm=predicate:random_seed=328350956: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)
% 3.35/1.32 % (3530473)First to succeed.
% 3.35/1.32 % (3530473)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3530386"
% 3.35/1.32 % (3530470)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1615830453:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.35/1.32 % (3530471)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3231078786:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.35/1.32 % (3530472)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3155930264:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.35/1.32 % (3530469)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=1000090751:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.35/1.32 % (3530470)Refutation not found, incomplete strategy
% 3.35/1.32 % (3530470)------------------------------
% 3.35/1.32 % (3530470)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.35/1.32 % (3530470)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.35/1.32 % (3530470)CaDiCaL version: 2.1.3
% 3.35/1.32 % (3530470)Termination reason: Refutation not found, incomplete strategy
% 3.35/1.32 % (3530470)Time elapsed: 0.001 s
% 3.35/1.32 % (3530470)Peak memory usage: 87 MB
% 3.35/1.32 % (3530471)Also succeeded, but the first one will report.
% 3.35/1.32 % (3530472)Also succeeded, but the first one will report.
% 3.35/1.32 % (3530470)------------------------------
% 3.35/1.32 % (3530470)------------------------------
% 3.35/1.32 % (3530473)Refutation found. Thanks to Tanya!
% 3.35/1.32 % SZS status Theorem for theBenchmark
% 3.35/1.32 % SZS output start Proof for theBenchmark
% See solution above
% 3.35/1.32 % (3530473)------------------------------
% 3.35/1.32 % (3530473)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.35/1.32 % (3530473)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.35/1.32 % (3530473)CaDiCaL version: 2.1.3
% 3.35/1.32 % (3530473)Termination reason: Refutation
% 3.35/1.32 % (3530473)Time elapsed: 0.003 s
% 3.35/1.32 % (3530473)Peak memory usage: 89 MB
% 3.35/1.32 % (3530473)Instructions burned: 2 (million)
% 3.35/1.32 % (3530473)------------------------------
% 3.35/1.32 % (3530473)------------------------------
% 3.35/1.32 % (3530386)Success in time 0.397 s
% 3.35/1.32 % Vampire exiting
%------------------------------------------------------------------------------