%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : CSR035+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n008.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 09:44:29 AM UTC 2026
% Result : Theorem 0.22s 0.28s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 24 ( 9 unt; 2 def)
% Number of atoms : 39 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 28 ( 13 ~; 9 |; 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 : 5 ( 0 sgn 3 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( mtvisible(c_englishmt)
=> prettystring(f_instancewithrelationtofn(c_footballteam,c_affiliatedwith,c_beloitcollege),s_thefootballteamwhohasbeenaffiliatedwithbeloitcollege) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just1) ).
fof(f39,conjecture,
? [X0] :
( mtvisible(c_englishmt)
=> prettystring(f_instancewithrelationtofn(c_footballteam,c_affiliatedwith,c_beloitcollege),X0) ),
file('/export/starexec/sandbox2/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(f102,plain,
( ~ prettystring(f_instancewithrelationtofn(c_footballteam,c_affiliatedwith,c_beloitcollege),s_thefootballteamwhohasbeenaffiliatedwithbeloitcollege)
| ~ mtvisible(c_englishmt) ),
inference(consistent_polarity_flipping,[],[f82]) ).
fof(f118,plain,
! [X0] : prettystring(f_instancewithrelationtofn(c_footballteam,c_affiliatedwith,c_beloitcollege),X0),
inference(consistent_polarity_flipping,[],[f101]) ).
fof(f120,definition,
( spl0_1
<=> mtvisible(c_englishmt) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f122,plain,
( ~ mtvisible(c_englishmt)
| spl0_1 ),
inference(avatar_component_clause,[],[f120]) ).
fof(f124,definition,
( spl0_2
<=> prettystring(f_instancewithrelationtofn(c_footballteam,c_affiliatedwith,c_beloitcollege),s_thefootballteamwhohasbeenaffiliatedwithbeloitcollege) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f126,plain,
( ~ prettystring(f_instancewithrelationtofn(c_footballteam,c_affiliatedwith,c_beloitcollege),s_thefootballteamwhohasbeenaffiliatedwithbeloitcollege)
| spl0_2 ),
inference(avatar_component_clause,[],[f124]) ).
fof(f127,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f102,f124,f120]) ).
fof(f128,plain,
( $false
| spl0_1 ),
inference(resolution,[],[f122,f100]) ).
fof(f129,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f128]) ).
fof(f130,plain,
( $false
| spl0_2 ),
inference(resolution,[],[f126,f118]) ).
fof(f131,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f130]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f127]) ).
cnf(s2,plain,
spl0_1,
inference(sat_conversion,[],[f129]) ).
cnf(s3,plain,
spl0_2,
inference(sat_conversion,[],[f131]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s3,s2]) ).
fof(f132,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR035+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.21 % Computer : n008.cluster.edu
% 0.08/0.21 % Model : x86_64 x86_64
% 0.08/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.21 % Memory : 8046.5625MB
% 0.08/0.21 % OS : Linux 6.8.0-71-generic
% 0.08/0.21 % CPULimit : 300
% 0.08/0.21 % WCLimit : 300
% 0.08/0.21 % DateTime : Mon Sep 28 22:13:24 UTC 2026
% 0.08/0.21 % CPUTime :
% 0.08/0.21 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.25 Running first-order model finding
% 0.08/0.25 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.28 % (2713234)Will run a generic schedule for satisfiability detection.
% 0.22/0.28 % (2713240)% WARNING: option uhcvi not known.
% 0.22/0.28 % (2713245)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=536249419:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.22/0.28 % (2713239)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=478206588_2999 on theBenchmark for (2999ds/0Mi)
% 0.22/0.28 % (2713241)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2070704143:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.22/0.28 % (2713240)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2899688119:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.22/0.28 % (2713242)dis+10_1_sil=32000:sp=arity:random_seed=3998889335:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.22/0.28 % (2713243)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=713047502:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.22/0.28 % (2713245) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2713234-2713245"...
% 0.22/0.28 % (2713244)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3257088492:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.22/0.28 % TRYING [1]
% 0.22/0.28 % (2713239) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2713234-2713239"...
% 0.22/0.28 % (2713245)...printing done.
% 0.22/0.28 % (2713241) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2713234-2713241"...
% 0.22/0.28 % (2713243) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2713234-2713243"...
% 0.22/0.28 % (2713242) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2713234-2713242"...
% 0.22/0.28 % (2713240) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2713234-2713240"...
% 0.22/0.28 % (2713244) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2713234-2713244"...
% 0.22/0.28 % (2713245)Refutation found. Thanks to Tanya!
% 0.22/0.28 % SZS status Theorem for theBenchmark
% 0.22/0.28 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.28 % (2713245)------------------------------
% 0.22/0.28 % (2713245)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.28 % (2713245)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.28 % (2713245)CaDiCaL version: 2.1.3
% 0.22/0.28 % (2713245)Termination reason: Refutation
% 0.22/0.28 % (2713245)Time elapsed: 0.002 s
% 0.22/0.28 % (2713245)Peak memory usage: 12 MB
% 0.22/0.28 % (2713245)Instructions burned: 1 (million)
% 0.22/0.28 % (2713234)Success in time 0.024 s
% 0.22/0.28 % Vampire exiting
%------------------------------------------------------------------------------