%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR035+4 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 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 09:42:07 AM UTC 2026
% Result : Theorem 7.54s 2.43s
% Output : Refutation 7.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 20 ( 8 unt; 2 def)
% Number of atoms : 32 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 23 ( 11 ~; 6 |; 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(f16816,axiom,
( mtvisible(c_englishmt)
=> prettystring(f_instancewithrelationtofn(c_footballteam,c_affiliatedwith,c_beloitcollege),s_thefootballteamwhoisaffiliatedwithbc) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3_16816) ).
fof(f44217,conjecture,
? [X0] :
( mtvisible(c_englishmt)
=> prettystring(f_instancewithrelationtofn(c_footballteam,c_affiliatedwith,c_beloitcollege),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query185) ).
fof(f44218,negated_conjecture,
~ ? [X0] :
( mtvisible(c_englishmt)
=> prettystring(f_instancewithrelationtofn(c_footballteam,c_affiliatedwith,c_beloitcollege),X0) ),
inference(negated_conjecture,[status(cth)],[f44217]) ).
fof(f44263,plain,
! [X0] :
( ~ prettystring(f_instancewithrelationtofn(c_footballteam,c_affiliatedwith,c_beloitcollege),X0)
& mtvisible(c_englishmt) ),
inference(ennf_transformation,[],[f44218]) ).
fof(f44266,plain,
( prettystring(f_instancewithrelationtofn(c_footballteam,c_affiliatedwith,c_beloitcollege),s_thefootballteamwhoisaffiliatedwithbc)
| ~ mtvisible(c_englishmt) ),
inference(ennf_transformation,[],[f16816]) ).
fof(f44272,plain,
mtvisible(c_englishmt),
inference(cnf_transformation,[],[f44263]) ).
fof(f44273,plain,
! [X0] : ~ prettystring(f_instancewithrelationtofn(c_footballteam,c_affiliatedwith,c_beloitcollege),X0),
inference(cnf_transformation,[],[f44263]) ).
fof(f44278,plain,
( prettystring(f_instancewithrelationtofn(c_footballteam,c_affiliatedwith,c_beloitcollege),s_thefootballteamwhoisaffiliatedwithbc)
| ~ mtvisible(c_englishmt) ),
inference(cnf_transformation,[],[f44266]) ).
fof(f44284,definition,
( spl0_1
<=> mtvisible(c_englishmt) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f44299,definition,
( spl0_4
<=> prettystring(f_instancewithrelationtofn(c_footballteam,c_affiliatedwith,c_beloitcollege),s_thefootballteamwhoisaffiliatedwithbc) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f44301,plain,
( prettystring(f_instancewithrelationtofn(c_footballteam,c_affiliatedwith,c_beloitcollege),s_thefootballteamwhoisaffiliatedwithbc)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f44299]) ).
fof(f44302,plain,
( ~ spl0_1
| spl0_4 ),
inference(avatar_split_clause,[],[f44278,f44299,f44284]) ).
fof(f44303,plain,
spl0_1,
inference(avatar_split_clause,[],[f44272,f44284]) ).
fof(f44308,plain,
( $false
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f44301,f44273]) ).
fof(f44309,plain,
~ spl0_4,
inference(avatar_contradiction_clause,[],[f44308]) ).
cnf(s4,plain,
( ~ spl0_1
| spl0_4 ),
inference(sat_conversion,[],[f44302]) ).
cnf(s5,plain,
spl0_1,
inference(sat_conversion,[],[f44303]) ).
cnf(s8,plain,
~ spl0_4,
inference(sat_conversion,[],[f44309]) ).
cnf(s9,plain,
$false,
inference(rat,[],[s4,s8,s5]) ).
fof(f44310,plain,
$false,
inference(avatar_sat_refutation,[],[s9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR035+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.22 % Computer : n008.cluster.edu
% 0.10/0.22 % Model : x86_64 x86_64
% 0.10/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.22 % Memory : 8046.5625MB
% 0.10/0.22 % OS : Linux 6.8.0-71-generic
% 0.10/0.22 % CPULimit : 300
% 0.10/0.22 % WCLimit : 300
% 0.10/0.22 % DateTime : Mon Sep 28 22:13:44 UTC 2026
% 0.10/0.22 % CPUTime :
% 0.10/0.22 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.24/0.28 Running first-order theorem proving
% 0.24/0.28 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
% 7.54/2.43 % (2713743)Detected formulas, will run a generic FOF schedule.
% 7.54/2.43 % (2713755)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=205313266:s2a=on:i=139:gtg=position_2993 on theBenchmark for (2993ds/139Mi)
% 7.54/2.43 % (2713751)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=267877939:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2993 on theBenchmark for (2993ds/134677Mi)
% 7.54/2.43 % (2713755)Instruction limit reached!
% 7.54/2.43 % (2713755)------------------------------
% 7.54/2.43 % (2713755)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.54/2.43 % (2713755)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.54/2.43 % (2713755)CaDiCaL version: 2.1.3
% 7.54/2.43 % (2713755)Termination reason: Instruction limit
% 7.54/2.43 % (2713755)Termination phase: Property scanning
% 7.54/2.43 % (2713755)Time elapsed: 0.070 s
% 7.54/2.43 % (2713755)Peak memory usage: 111 MB
% 7.54/2.43 % (2713755)Instructions burned: 139 (million)
% 7.54/2.43 % (2713753)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1241567507:i=109:sd=1:ins=1:gsp=on:ss=axioms_2993 on theBenchmark for (2993ds/109Mi)
% 7.54/2.43 % (2713750)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=4141802465:i=141193_2993 on theBenchmark for (2993ds/141193Mi)
% 7.54/2.43 % (2713752)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=2312736814:i=141695:sd=1:nm=32:gsp=on:ss=included_2993 on theBenchmark for (2993ds/141695Mi)
% 7.54/2.43 % (2713756)dis-21_1_sil=8000:lcm=predicate:random_seed=4033809373:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2993 on theBenchmark for (2993ds/129Mi)
% 7.54/2.43 % (2713754)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=534148212:i=119:av=off:ss=axioms_2993 on theBenchmark for (2993ds/119Mi)
% 7.54/2.43 % (2713753)Instruction limit reached!
% 7.54/2.43 % (2713753)------------------------------
% 7.54/2.43 % (2713753)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.54/2.43 % (2713753)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.54/2.43 % (2713753)CaDiCaL version: 2.1.3
% 7.54/2.43 % (2713753)Termination reason: Instruction limit
% 7.54/2.43 % (2713753)Termination phase: Saturation
% 7.54/2.43 % (2713753)Time elapsed: 0.126 s
% 7.54/2.43 % (2713753)Peak memory usage: 116 MB
% 7.54/2.43 % (2713753)Instructions burned: 110 (million)
% 7.54/2.43 % (2713756)Instruction limit reached!
% 7.54/2.43 % (2713756)------------------------------
% 7.54/2.43 % (2713756)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.54/2.43 % (2713756)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.54/2.43 % (2713756)CaDiCaL version: 2.1.3
% 7.54/2.43 % (2713756)Termination reason: Instruction limit
% 7.54/2.43 % (2713756)Termination phase: SInE selection
% 7.54/2.43 % (2713756)Time elapsed: 0.121 s
% 7.54/2.43 % (2713756)Peak memory usage: 111 MB
% 7.54/2.43 % (2713756)Instructions burned: 129 (million)
% 7.54/2.43 % (2713754)Instruction limit reached!
% 7.54/2.43 % (2713754)------------------------------
% 7.54/2.43 % (2713754)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.54/2.43 % (2713754)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.54/2.43 % (2713754)CaDiCaL version: 2.1.3
% 7.54/2.43 % (2713754)Termination reason: Instruction limit
% 7.54/2.43 % (2713754)Termination phase: Saturation
% 7.54/2.43 % (2713754)Time elapsed: 0.133 s
% 7.54/2.43 % (2713754)Peak memory usage: 116 MB
% 7.54/2.43 % (2713754)Instructions burned: 120 (million)
% 7.54/2.43 % (2713762)lrs+10_1_sil=8000:sp=occurrence:random_seed=866373663:i=285:sd=3:ss=axioms:sgt=8_2991 on theBenchmark for (2991ds/285Mi)
% 7.54/2.43 % (2713762)First to succeed.
% 7.54/2.43 % (2713762)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2713743"
% 7.54/2.43 % (2713765)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3147143863:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2989 on theBenchmark for (2989ds/157Mi)
% 7.54/2.43 % (2713766)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3622599798:i=325:sd=1:ss=axioms:sgt=32_2989 on theBenchmark for (2989ds/325Mi)
% 7.54/2.43 % (2713767)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=183624861:s2a=on:i=248:s2at=1.23:gtg=position_2989 on theBenchmark for (2989ds/248Mi)
% 7.54/2.43 % (2713765)Instruction limit reached!
% 7.54/2.43 % (2713765)------------------------------
% 7.54/2.43 % (2713765)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.54/2.43 % (2713765)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.54/2.43 % (2713765)CaDiCaL version: 2.1.3
% 7.54/2.43 % (2713765)Termination reason: Instruction limit
% 7.54/2.43 % (2713765)Termination phase: Property scanning
% 7.54/2.43 % (2713765)Time elapsed: 0.132 s
% 7.54/2.43 % (2713765)Peak memory usage: 110 MB
% 7.54/2.43 % (2713765)Instructions burned: 158 (million)
% 7.54/2.43 % (2713766)Also succeeded, but the first one will report.
% 7.54/2.43 % (2713762)Refutation found. Thanks to Tanya!
% 7.54/2.43 % SZS status Theorem for theBenchmark
% 7.54/2.43 % SZS output start Proof for theBenchmark
% See solution above
% 7.54/2.43 % (2713762)------------------------------
% 7.54/2.43 % (2713762)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.54/2.43 % (2713762)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.54/2.43 % (2713762)CaDiCaL version: 2.1.3
% 7.54/2.43 % (2713762)Termination reason: Refutation
% 7.54/2.43 % (2713762)Time elapsed: 0.082 s
% 7.54/2.43 % (2713762)Peak memory usage: 120 MB
% 7.54/2.43 % (2713762)Instructions burned: 112 (million)
% 7.54/2.43 % (2713762)------------------------------
% 7.54/2.43 % (2713762)------------------------------
% 7.54/2.43 % (2713743)Success in time 1.497 s
% 7.54/2.43 % Vampire exiting
%------------------------------------------------------------------------------