%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KRS141+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 : n003.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 11:41:45 AM UTC 2026
% Result : Theorem 2.50s 21.33s
% Output : Refutation 2.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 13
% Syntax : Number of formulae : 66 ( 20 unt; 6 def)
% Number of atoms : 171 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 185 ( 80 ~; 76 |; 16 &)
% ( 10 <=>; 2 =>; 0 <=; 1 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 14 ( 13 usr; 7 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 24 ( 0 sgn 20 !; 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(f3,axiom,
! [X0] :
( cr(X0)
=> ! [X1] :
( rp(X0,X1)
=> cc(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f4,axiom,
cr(ii),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(f6,axiom,
rp(ii,io),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
fof(f7,axiom,
cowlThing(io),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
fof(f8,conjecture,
( ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& cc(io)
& cowlThing(io) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).
fof(f9,negated_conjecture,
~ ( ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& cc(io)
& cowlThing(io) ),
inference(negated_conjecture,[status(cth)],[f8]) ).
fof(f10,plain,
~ ( ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& cc(io)
& cowlThing(io) ),
inference(rectify,[],[f9]) ).
fof(f11,plain,
! [X0] :
( ! [X1] :
( cc(X1)
| ~ rp(X0,X1) )
| ~ cr(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f12,plain,
( ? [X0] :
( ~ cowlThing(X0)
| cowlNothing(X0) )
| ? [X1] :
( xsd_string(X1)
<~> ~ xsd_integer(X1) )
| ~ cc(io)
| ~ cowlThing(io) ),
inference(ennf_transformation,[],[f10]) ).
fof(f13,plain,
! [X0] :
( ( xsd_string(X0)
| xsd_integer(X0) )
& ( ~ xsd_integer(X0)
| ~ xsd_string(X0) ) ),
inference(nnf_transformation,[],[f2]) ).
fof(f14,plain,
( ? [X0] :
( ~ cowlThing(X0)
| cowlNothing(X0) )
| ? [X1] :
( ( xsd_integer(X1)
| ~ xsd_string(X1) )
& ( ~ xsd_integer(X1)
| xsd_string(X1) ) )
| ~ cc(io)
| ~ cowlThing(io) ),
inference(nnf_transformation,[],[f12]) ).
fof(f15,plain,
( ~ cowlThing(sK0)
| cowlNothing(sK0)
| ( ( xsd_integer(sK1)
| ~ xsd_string(sK1) )
& ( ~ xsd_integer(sK1)
| xsd_string(sK1) ) )
| ~ cc(io)
| ~ cowlThing(io) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f14]) ).
fof(f16,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f17,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f18,plain,
! [X0] :
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[],[f13]) ).
fof(f19,plain,
! [X0] :
( xsd_string(X0)
| xsd_integer(X0) ),
inference(cnf_transformation,[],[f13]) ).
fof(f20,plain,
! [X0,X1] :
( cc(X1)
| ~ rp(X0,X1)
| ~ cr(X0) ),
inference(cnf_transformation,[],[f11]) ).
fof(f21,plain,
cr(ii),
inference(cnf_transformation,[],[f4]) ).
fof(f23,plain,
rp(ii,io),
inference(cnf_transformation,[],[f6]) ).
fof(f24,plain,
cowlThing(io),
inference(cnf_transformation,[],[f7]) ).
fof(f25,plain,
( ~ cowlThing(sK0)
| cowlNothing(sK0)
| ~ xsd_integer(sK1)
| xsd_string(sK1)
| ~ cc(io)
| ~ cowlThing(io) ),
inference(cnf_transformation,[],[f15]) ).
fof(f26,plain,
( ~ cowlThing(sK0)
| cowlNothing(sK0)
| xsd_integer(sK1)
| ~ xsd_string(sK1)
| ~ cc(io)
| ~ cowlThing(io) ),
inference(cnf_transformation,[],[f15]) ).
fof(f28,definition,
( spl2_1
<=> cowlThing(io) ),
introduced(definition,[new_symbols(definition,[spl2_1])],[avatar_definition]) ).
fof(f32,definition,
( spl2_2
<=> cc(io) ),
introduced(definition,[new_symbols(definition,[spl2_2])],[avatar_definition]) ).
fof(f34,plain,
( ~ cc(io)
| spl2_2 ),
inference(avatar_component_clause,[],[f32]) ).
fof(f36,definition,
( spl2_3
<=> xsd_string(sK1) ),
introduced(definition,[new_symbols(definition,[spl2_3])],[avatar_definition]) ).
fof(f37,plain,
( ~ xsd_string(sK1)
| spl2_3 ),
inference(avatar_component_clause,[],[f36]) ).
fof(f38,plain,
( xsd_string(sK1)
| ~ spl2_3 ),
inference(avatar_component_clause,[],[f36]) ).
fof(f40,definition,
( spl2_4
<=> xsd_integer(sK1) ),
introduced(definition,[new_symbols(definition,[spl2_4])],[avatar_definition]) ).
fof(f41,plain,
( xsd_integer(sK1)
| ~ spl2_4 ),
inference(avatar_component_clause,[],[f40]) ).
fof(f44,definition,
( spl2_5
<=> cowlNothing(sK0) ),
introduced(definition,[new_symbols(definition,[spl2_5])],[avatar_definition]) ).
fof(f46,plain,
( cowlNothing(sK0)
| ~ spl2_5 ),
inference(avatar_component_clause,[],[f44]) ).
fof(f48,definition,
( spl2_6
<=> cowlThing(sK0) ),
introduced(definition,[new_symbols(definition,[spl2_6])],[avatar_definition]) ).
fof(f50,plain,
( ~ cowlThing(sK0)
| spl2_6 ),
inference(avatar_component_clause,[],[f48]) ).
fof(f51,plain,
( ~ spl2_1
| ~ spl2_2
| spl2_3
| ~ spl2_4
| spl2_5
| ~ spl2_6 ),
inference(avatar_split_clause,[],[f25,f48,f44,f40,f36,f32,f28]) ).
fof(f52,plain,
( ~ spl2_1
| ~ spl2_2
| ~ spl2_3
| spl2_4
| spl2_5
| ~ spl2_6 ),
inference(avatar_split_clause,[],[f26,f48,f44,f40,f36,f32,f28]) ).
fof(f53,plain,
spl2_1,
inference(avatar_split_clause,[],[f24,f28]) ).
fof(f54,plain,
( ! [X0] :
( ~ rp(X0,io)
| ~ cr(X0) )
| spl2_2 ),
inference(resolution,[],[f20,f34]) ).
fof(f55,plain,
( ~ cr(ii)
| spl2_2 ),
inference(resolution,[],[f54,f23]) ).
fof(f56,plain,
( $false
| spl2_2 ),
inference(forward_subsumption_resolution,[],[f55,f21]) ).
fof(f57,plain,
spl2_2,
inference(avatar_contradiction_clause,[],[f56]) ).
fof(f58,plain,
( $false
| spl2_6 ),
inference(forward_subsumption_resolution,[],[f50,f17]) ).
fof(f59,plain,
spl2_6,
inference(avatar_contradiction_clause,[],[f58]) ).
fof(f60,plain,
( xsd_integer(sK1)
| spl2_3 ),
inference(resolution,[],[f37,f19]) ).
fof(f61,plain,
( spl2_4
| spl2_3 ),
inference(avatar_split_clause,[],[f60,f36,f40]) ).
fof(f62,plain,
( $false
| ~ spl2_5 ),
inference(forward_subsumption_resolution,[],[f46,f16]) ).
fof(f63,plain,
~ spl2_5,
inference(avatar_contradiction_clause,[],[f62]) ).
fof(f64,plain,
( ~ xsd_string(sK1)
| ~ spl2_4 ),
inference(resolution,[],[f41,f18]) ).
fof(f65,plain,
( $false
| ~ spl2_3
| ~ spl2_4 ),
inference(forward_subsumption_resolution,[],[f64,f38]) ).
fof(f66,plain,
( ~ spl2_3
| ~ spl2_4 ),
inference(avatar_contradiction_clause,[],[f65]) ).
cnf(s1,plain,
( ~ spl2_1
| ~ spl2_2
| spl2_3
| ~ spl2_4
| spl2_5
| ~ spl2_6 ),
inference(sat_conversion,[],[f51]) ).
cnf(s2,plain,
( ~ spl2_1
| ~ spl2_2
| ~ spl2_3
| spl2_4
| spl2_5
| ~ spl2_6 ),
inference(sat_conversion,[],[f52]) ).
cnf(s3,plain,
spl2_1,
inference(sat_conversion,[],[f53]) ).
cnf(s4,plain,
spl2_2,
inference(sat_conversion,[],[f57]) ).
cnf(s5,plain,
spl2_6,
inference(sat_conversion,[],[f59]) ).
cnf(s6,plain,
( spl2_3
| spl2_4 ),
inference(sat_conversion,[],[f61]) ).
cnf(s7,plain,
~ spl2_5,
inference(sat_conversion,[],[f63]) ).
cnf(s8,plain,
( ~ spl2_3
| ~ spl2_4 ),
inference(sat_conversion,[],[f66]) ).
cnf(s9,plain,
( ~ spl2_3
| spl2_4 ),
inference(rat,[],[s2,s5,s7,s4,s3]) ).
cnf(s10,plain,
( spl2_3
| ~ spl2_4 ),
inference(rat,[],[s1,s5,s7,s4,s3]) ).
cnf(s11,plain,
spl2_3,
inference(rat,[],[s10,s6]) ).
cnf(s12,plain,
~ spl2_4,
inference(rat,[],[s8,s11]) ).
cnf(s13,plain,
$false,
inference(rat,[],[s9,s12,s11]) ).
fof(f67,plain,
$false,
inference(avatar_sat_refutation,[],[s13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS141+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/20.40 % Computer : n003.cluster.edu
% 0.10/20.40 % Model : x86_64 x86_64
% 0.10/20.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/20.40 % Memory : 8046.5625MB
% 0.10/20.40 % OS : Linux 6.8.0-71-generic
% 0.10/20.40 % CPULimit : 300
% 0.10/20.40 % WCLimit : 300
% 0.10/20.40 % DateTime : Sun Sep 27 13:30:17 UTC 2026
% 0.10/20.40 % CPUTime :
% 0.10/20.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/20.44 Running first-order theorem proving
% 0.10/20.44 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
% 2.50/21.33 % (533661)Detected formulas, will run a generic FOF schedule.
% 2.50/21.33 % (533671)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=63777062:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.50/21.33 % (533671)First to succeed.
% 2.50/21.33 % (533671)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-533661"
% 2.50/21.33 % (533669)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1544074690:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.50/21.33 % (533670)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4026858475:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.50/21.33 % (533666)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=930550068:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.50/21.33 % (533667)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=3312131969:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.50/21.33 % (533669)Refutation not found, incomplete strategy
% 2.50/21.33 % (533669)------------------------------
% 2.50/21.33 % (533669)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.50/21.33 % (533669)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.50/21.33 % (533669)CaDiCaL version: 2.1.3
% 2.50/21.33 % (533669)Termination reason: Refutation not found, incomplete strategy
% 2.50/21.33 % (533669)Time elapsed: 0.0000 s
% 2.50/21.33 % (533669)Peak memory usage: 86 MB
% 2.50/21.33 % (533670)Also succeeded, but the first one will report.
% 2.50/21.33 % (533672)dis-21_1_sil=8000:lcm=predicate:random_seed=328797688: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)
% 2.50/21.33 % (533672)Also succeeded, but the first one will report.
% 2.50/21.33 % (533668)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=7704556:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.50/21.33 % (533671)Refutation found. Thanks to Tanya!
% 2.50/21.33 % SZS status Theorem for theBenchmark
% 2.50/21.33 % SZS output start Proof for theBenchmark
% See solution above
% 2.50/21.33 % (533671)------------------------------
% 2.50/21.33 % (533671)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.50/21.33 % (533671)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.50/21.33 % (533671)CaDiCaL version: 2.1.3
% 2.50/21.33 % (533671)Termination reason: Refutation
% 2.50/21.33 % (533671)Time elapsed: 0.002 s
% 2.50/21.33 % (533671)Peak memory usage: 89 MB
% 2.50/21.33 % (533671)Instructions burned: 2 (million)
% 2.50/21.33 % (533671)------------------------------
% 2.50/21.33 % (533671)------------------------------
% 2.50/21.33 % (533661)Success in time 0.269 s
% 2.50/21.33 % Vampire exiting
%------------------------------------------------------------------------------