%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR035+1 : 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 : 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 09:42:07 AM UTC 2026
% Result : Theorem 0.19s 1.20s
% Output : Refutation 0.19s
% 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(f1,axiom,
( mtvisible(c_englishmt)
=> prettystring(f_instancewithrelationtofn(c_footballteam,c_affiliatedwith,c_beloitcollege),s_thefootballteamwhohasbeenaffiliatedwithbeloitcollege) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just1) ).
fof(f39,conjecture,
? [X0] :
( mtvisible(c_englishmt)
=> prettystring(f_instancewithrelationtofn(c_footballteam,c_affiliatedwith,c_beloitcollege),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query35) ).
fof(f40,negated_conjecture,
~ ? [X0] :
( mtvisible(c_englishmt)
=> prettystring(f_instancewithrelationtofn(c_footballteam,c_affiliatedwith,c_beloitcollege),X0) ),
inference(negated_conjecture,[status(cth)],[f39]) ).
fof(f61,plain,
( prettystring(f_instancewithrelationtofn(c_footballteam,c_affiliatedwith,c_beloitcollege),s_thefootballteamwhohasbeenaffiliatedwithbeloitcollege)
| ~ mtvisible(c_englishmt) ),
inference(ennf_transformation,[],[f1]) ).
fof(f81,plain,
! [X0] :
( ~ prettystring(f_instancewithrelationtofn(c_footballteam,c_affiliatedwith,c_beloitcollege),X0)
& mtvisible(c_englishmt) ),
inference(ennf_transformation,[],[f40]) ).
fof(f82,plain,
( prettystring(f_instancewithrelationtofn(c_footballteam,c_affiliatedwith,c_beloitcollege),s_thefootballteamwhohasbeenaffiliatedwithbeloitcollege)
| ~ mtvisible(c_englishmt) ),
inference(cnf_transformation,[],[f61]) ).
fof(f100,plain,
mtvisible(c_englishmt),
inference(cnf_transformation,[],[f81]) ).
fof(f101,plain,
! [X0] : ~ prettystring(f_instancewithrelationtofn(c_footballteam,c_affiliatedwith,c_beloitcollege),X0),
inference(cnf_transformation,[],[f81]) ).
fof(f103,definition,
( spl0_1
<=> mtvisible(c_englishmt) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f104,plain,
( ~ mtvisible(c_englishmt)
| spl0_1 ),
inference(avatar_component_clause,[],[f103]) ).
fof(f106,definition,
( spl0_2
<=> prettystring(f_instancewithrelationtofn(c_footballteam,c_affiliatedwith,c_beloitcollege),s_thefootballteamwhohasbeenaffiliatedwithbeloitcollege) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f107,plain,
( prettystring(f_instancewithrelationtofn(c_footballteam,c_affiliatedwith,c_beloitcollege),s_thefootballteamwhohasbeenaffiliatedwithbeloitcollege)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f106]) ).
fof(f108,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f82,f106,f103]) ).
fof(f109,plain,
( $false
| spl0_1 ),
inference(resolution,[],[f104,f100]) ).
fof(f110,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f109]) ).
fof(f111,plain,
( $false
| ~ spl0_2 ),
inference(resolution,[],[f101,f107]) ).
fof(f112,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f111]) ).
cnf(s1,plain,
( ~ spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f108]) ).
cnf(s2,plain,
spl0_1,
inference(sat_conversion,[],[f110]) ).
cnf(s3,plain,
~ spl0_2,
inference(sat_conversion,[],[f112]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s3,s2]) ).
fof(f113,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR035+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n010.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Mon Sep 28 22:13:22 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running first-order theorem proving
% 0.09/0.22 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
% 0.19/1.20 % (2418788)Detected formulas, will run a generic FOF schedule.
% 0.19/1.20 % (2418795)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=3138862901:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 0.19/1.20 % (2418797)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3832472017:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 0.19/1.20 % (2418798)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2067365097:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 0.19/1.20 % (2418794)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=454841959:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 0.19/1.20 % (2418793)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=1788755285:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 0.19/1.20 % (2418799)dis-21_1_sil=8000:lcm=predicate:random_seed=253816973: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)
% 0.19/1.20 % (2418796)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4119625151:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 0.19/1.20 % (2418797)Refutation not found, incomplete strategy
% 0.19/1.20 % (2418797)------------------------------
% 0.19/1.20 % (2418797)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.20 % (2418797)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.20 % (2418796)Refutation not found, incomplete strategy
% 0.19/1.20 % (2418796)------------------------------
% 0.19/1.20 % (2418796)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.20 % (2418797)CaDiCaL version: 2.1.3
% 0.19/1.20 % (2418796)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.20 % (2418797)Termination reason: Refutation not found, incomplete strategy
% 0.19/1.20 % (2418797)Time elapsed: 0.001 s
% 0.19/1.20 % (2418797)Peak memory usage: 86 MB
% 0.19/1.20 % (2418796)CaDiCaL version: 2.1.3
% 0.19/1.20 % (2418796)Termination reason: Refutation not found, incomplete strategy
% 0.19/1.20 % (2418796)Time elapsed: 0.001 s
% 0.19/1.20 % (2418796)Peak memory usage: 87 MB
% 0.19/1.20 % (2418799)First to succeed.
% 0.19/1.20 % (2418798)Also succeeded, but the first one will report.
% 0.19/1.20 % (2418799)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2418788"
% 0.19/1.20 % (2418796)------------------------------
% 0.19/1.20 % (2418796)------------------------------
% 0.19/1.20 % (2418799)Refutation found. Thanks to Tanya!
% 0.19/1.20 % SZS status Theorem for theBenchmark
% 0.19/1.20 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/1.20 % (2418799)------------------------------
% 0.19/1.20 % (2418799)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.20 % (2418799)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.20 % (2418799)CaDiCaL version: 2.1.3
% 0.19/1.20 % (2418799)Termination reason: Refutation
% 0.19/1.20 % (2418799)Time elapsed: 0.002 s
% 0.19/1.20 % (2418799)Peak memory usage: 89 MB
% 0.19/1.20 % (2418799)Instructions burned: 1 (million)
% 0.19/1.20 % (2418799)------------------------------
% 0.19/1.20 % (2418799)------------------------------
% 0.19/1.20 % (2418788)Success in time 0.417 s
% 0.19/1.20 % Vampire exiting
%------------------------------------------------------------------------------