%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR035+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n009.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 09:42:07 AM UTC 2026
% Result : Theorem 6.21s 2.10s
% Output : Refutation 6.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 22 ( 8 unt; 2 def)
% Number of atoms : 36 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 26 ( 12 ~; 8 |; 1 &)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-3 aty)
% Number of variables : 4 ( 0 sgn 2 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f452,axiom,
( mtvisible(c_englishmt)
=> prettystring(f_instancewithrelationtofn(c_footballteam,c_affiliatedwith,c_beloitcollege),s_thefootballteamwhohasbeenaffiliatedwithbeloitcollege) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_452) ).
fof(f1132,conjecture,
? [X0] :
( mtvisible(c_englishmt)
=> prettystring(f_instancewithrelationtofn(c_footballteam,c_affiliatedwith,c_beloitcollege),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query85) ).
fof(f1133,negated_conjecture,
~ ? [X0] :
( mtvisible(c_englishmt)
=> prettystring(f_instancewithrelationtofn(c_footballteam,c_affiliatedwith,c_beloitcollege),X0) ),
inference(negated_conjecture,[status(cth)],[f1132]) ).
fof(f1210,plain,
! [X0] :
( ~ prettystring(f_instancewithrelationtofn(c_footballteam,c_affiliatedwith,c_beloitcollege),X0)
& mtvisible(c_englishmt) ),
inference(ennf_transformation,[],[f1133]) ).
fof(f1214,plain,
( prettystring(f_instancewithrelationtofn(c_footballteam,c_affiliatedwith,c_beloitcollege),s_thefootballteamwhohasbeenaffiliatedwithbeloitcollege)
| ~ mtvisible(c_englishmt) ),
inference(ennf_transformation,[],[f452]) ).
fof(f1282,plain,
mtvisible(c_englishmt),
inference(cnf_transformation,[],[f1210]) ).
fof(f1283,plain,
! [X0] : ~ prettystring(f_instancewithrelationtofn(c_footballteam,c_affiliatedwith,c_beloitcollege),X0),
inference(cnf_transformation,[],[f1210]) ).
fof(f1286,plain,
( prettystring(f_instancewithrelationtofn(c_footballteam,c_affiliatedwith,c_beloitcollege),s_thefootballteamwhohasbeenaffiliatedwithbeloitcollege)
| ~ mtvisible(c_englishmt) ),
inference(cnf_transformation,[],[f1214]) ).
fof(f1404,definition,
( spl0_13
<=> mtvisible(c_englishmt) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f1405,plain,
( ~ mtvisible(c_englishmt)
| spl0_13 ),
inference(avatar_component_clause,[],[f1404]) ).
fof(f1411,definition,
( spl0_15
<=> prettystring(f_instancewithrelationtofn(c_footballteam,c_affiliatedwith,c_beloitcollege),s_thefootballteamwhohasbeenaffiliatedwithbeloitcollege) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f1412,plain,
( prettystring(f_instancewithrelationtofn(c_footballteam,c_affiliatedwith,c_beloitcollege),s_thefootballteamwhohasbeenaffiliatedwithbeloitcollege)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f1411]) ).
fof(f1413,plain,
( ~ spl0_13
| spl0_15 ),
inference(avatar_split_clause,[],[f1286,f1411,f1404]) ).
fof(f1414,plain,
( $false
| spl0_13 ),
inference(resolution,[],[f1405,f1282]) ).
fof(f1415,plain,
spl0_13,
inference(avatar_contradiction_clause,[],[f1414]) ).
fof(f1416,plain,
( $false
| ~ spl0_15 ),
inference(resolution,[],[f1283,f1412]) ).
fof(f1417,plain,
~ spl0_15,
inference(avatar_contradiction_clause,[],[f1416]) ).
cnf(s9,plain,
( ~ spl0_13
| spl0_15 ),
inference(sat_conversion,[],[f1413]) ).
cnf(s10,plain,
spl0_13,
inference(sat_conversion,[],[f1415]) ).
cnf(s11,plain,
~ spl0_15,
inference(sat_conversion,[],[f1417]) ).
cnf(s12,plain,
$false,
inference(rat,[],[s9,s11,s10]) ).
fof(f1418,plain,
$false,
inference(avatar_sat_refutation,[],[s12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : CSR035+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.29 % Computer : n009.cluster.edu
% 0.11/0.29 % Model : x86_64 x86_64
% 0.11/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.29 % Memory : 8046.5625MB
% 0.11/0.29 % OS : Linux 6.8.0-71-generic
% 0.11/0.29 % CPULimit : 300
% 0.11/0.29 % WCLimit : 300
% 0.11/0.29 % DateTime : Mon Sep 28 22:12:45 UTC 2026
% 0.11/0.30 % CPUTime :
% 0.11/0.30 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.29/0.35 Running first-order theorem proving
% 0.29/0.35 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
% 6.21/2.10 % (3552788)Detected formulas, will run a generic FOF schedule.
% 6.21/2.10 % (3552797)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=762568823:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.21/2.10 % (3552797)Instruction limit reached!
% 6.21/2.10 % (3552797)------------------------------
% 6.21/2.10 % (3552797)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.21/2.10 % (3552797)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.21/2.10 % (3552797)CaDiCaL version: 2.1.3
% 6.21/2.10 % (3552797)Termination reason: Instruction limit
% 6.21/2.10 % (3552797)Termination phase: Saturation
% 6.21/2.10 % (3552797)Time elapsed: 0.039 s
% 6.21/2.10 % (3552797)Peak memory usage: 88 MB
% 6.21/2.10 % (3552797)Instructions burned: 122 (million)
% 6.21/2.10 % (3552793)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=2351686935:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.21/2.10 % (3552794)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=2049181294:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.21/2.10 % (3552795)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=830805150:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.21/2.10 % (3552796)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2865038316:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.21/2.10 % (3552798)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1879204451:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.21/2.10 % (3552799)dis-21_1_sil=8000:lcm=predicate:random_seed=861626822: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)
% 6.21/2.10 % (3552796)Refutation not found, incomplete strategy
% 6.21/2.10 % (3552796)------------------------------
% 6.21/2.10 % (3552796)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.21/2.10 % (3552796)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.21/2.10 % (3552796)CaDiCaL version: 2.1.3
% 6.21/2.10 % (3552796)Termination reason: Refutation not found, incomplete strategy
% 6.21/2.10 % (3552796)Time elapsed: 0.004 s
% 6.21/2.10 % (3552796)Peak memory usage: 87 MB
% 6.21/2.10 % (3552796)Instructions burned: 3 (million)
% 6.21/2.10 % (3552799)First to succeed.
% 6.21/2.10 % (3552799)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3552788"
% 6.21/2.10 % (3552798)Also succeeded, but the first one will report.
% 6.21/2.10 % (3552801)lrs+10_1_sil=8000:sp=occurrence:random_seed=2310585677:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 6.21/2.10 % (3552801)Also succeeded, but the first one will report.
% 6.21/2.10 % (3552796)------------------------------
% 6.21/2.10 % (3552796)------------------------------
% 6.21/2.10 % (3552799)Refutation found. Thanks to Tanya!
% 6.21/2.10 % SZS status Theorem for theBenchmark
% 6.21/2.10 % SZS output start Proof for theBenchmark
% See solution above
% 6.21/2.10 % (3552799)------------------------------
% 6.21/2.10 % (3552799)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.21/2.10 % (3552799)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.21/2.10 % (3552799)CaDiCaL version: 2.1.3
% 6.21/2.10 % (3552799)Termination reason: Refutation
% 6.21/2.10 % (3552799)Time elapsed: 0.009 s
% 6.21/2.10 % (3552799)Peak memory usage: 90 MB
% 6.21/2.10 % (3552799)Instructions burned: 7 (million)
% 6.21/2.10 % (3552799)------------------------------
% 6.21/2.10 % (3552799)------------------------------
% 6.21/2.10 % (3552788)Success in time 0.757 s
% 6.21/2.10 % Vampire exiting
%------------------------------------------------------------------------------