%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR035+3 : 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 : n016.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 5.82s 1.96s
% Output : Refutation 5.82s
% 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(f4139,axiom,
( mtvisible(c_englishmt)
=> prettystring(f_instancewithrelationtofn(c_footballteam,c_affiliatedwith,c_beloitcollege),s_thefootballteamwhohasbeenaffiliatedwithbeloitcollege) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2_4139) ).
fof(f8006,conjecture,
? [X0] :
( mtvisible(c_englishmt)
=> prettystring(f_instancewithrelationtofn(c_footballteam,c_affiliatedwith,c_beloitcollege),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query135) ).
fof(f8007,negated_conjecture,
~ ? [X0] :
( mtvisible(c_englishmt)
=> prettystring(f_instancewithrelationtofn(c_footballteam,c_affiliatedwith,c_beloitcollege),X0) ),
inference(negated_conjecture,[status(cth)],[f8006]) ).
fof(f8104,plain,
! [X0] :
( ~ prettystring(f_instancewithrelationtofn(c_footballteam,c_affiliatedwith,c_beloitcollege),X0)
& mtvisible(c_englishmt) ),
inference(ennf_transformation,[],[f8007]) ).
fof(f8110,plain,
( prettystring(f_instancewithrelationtofn(c_footballteam,c_affiliatedwith,c_beloitcollege),s_thefootballteamwhohasbeenaffiliatedwithbeloitcollege)
| ~ mtvisible(c_englishmt) ),
inference(ennf_transformation,[],[f4139]) ).
fof(f8169,plain,
mtvisible(c_englishmt),
inference(cnf_transformation,[],[f8104]) ).
fof(f8170,plain,
! [X0] : ~ prettystring(f_instancewithrelationtofn(c_footballteam,c_affiliatedwith,c_beloitcollege),X0),
inference(cnf_transformation,[],[f8104]) ).
fof(f8177,plain,
( prettystring(f_instancewithrelationtofn(c_footballteam,c_affiliatedwith,c_beloitcollege),s_thefootballteamwhohasbeenaffiliatedwithbeloitcollege)
| ~ mtvisible(c_englishmt) ),
inference(cnf_transformation,[],[f8110]) ).
fof(f8365,definition,
( spl0_6
<=> mtvisible(c_englishmt) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f8366,plain,
( ~ mtvisible(c_englishmt)
| spl0_6 ),
inference(avatar_component_clause,[],[f8365]) ).
fof(f8376,definition,
( spl0_9
<=> prettystring(f_instancewithrelationtofn(c_footballteam,c_affiliatedwith,c_beloitcollege),s_thefootballteamwhohasbeenaffiliatedwithbeloitcollege) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f8377,plain,
( prettystring(f_instancewithrelationtofn(c_footballteam,c_affiliatedwith,c_beloitcollege),s_thefootballteamwhohasbeenaffiliatedwithbeloitcollege)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f8376]) ).
fof(f8379,plain,
( ~ spl0_6
| spl0_9 ),
inference(avatar_split_clause,[],[f8177,f8376,f8365]) ).
fof(f8380,plain,
( $false
| spl0_6 ),
inference(resolution,[],[f8366,f8169]) ).
fof(f8381,plain,
spl0_6,
inference(avatar_contradiction_clause,[],[f8380]) ).
fof(f8384,plain,
( $false
| ~ spl0_9 ),
inference(resolution,[],[f8170,f8377]) ).
fof(f8385,plain,
~ spl0_9,
inference(avatar_contradiction_clause,[],[f8384]) ).
cnf(s7,plain,
( ~ spl0_6
| spl0_9 ),
inference(sat_conversion,[],[f8379]) ).
cnf(s8,plain,
spl0_6,
inference(sat_conversion,[],[f8381]) ).
cnf(s9,plain,
~ spl0_9,
inference(sat_conversion,[],[f8385]) ).
cnf(s12,plain,
$false,
inference(rat,[],[s7,s9,s8]) ).
fof(f8388,plain,
$false,
inference(avatar_sat_refutation,[],[s12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : CSR035+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.10 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.30 % Computer : n016.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8046.5625MB
% 0.10/0.30 % OS : Linux 6.8.0-71-generic
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Mon Sep 28 22:17:34 UTC 2026
% 0.31/0.31 % CPUTime :
% 0.31/0.31 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.31/0.36 Running first-order theorem proving
% 0.31/0.36 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
% 5.82/1.95 % (4096634)Detected formulas, will run a generic FOF schedule.
% 5.82/1.95 % (4096643)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=334551325:i=119:av=off:ss=axioms_2998 on theBenchmark for (2998ds/119Mi)
% 5.82/1.95 % (4096644)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=736312379:s2a=on:i=139:gtg=position_2998 on theBenchmark for (2998ds/139Mi)
% 5.82/1.95 % (4096642)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1568992288:i=109:sd=1:ins=1:gsp=on:ss=axioms_2998 on theBenchmark for (2998ds/109Mi)
% 5.82/1.95 % (4096641)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=124650050:i=141695:sd=1:nm=32:gsp=on:ss=included_2998 on theBenchmark for (2998ds/141695Mi)
% 5.82/1.95 % (4096640)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=3377728885:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2998 on theBenchmark for (2998ds/134677Mi)
% 5.82/1.95 % (4096639)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=1938191396:i=141193_2998 on theBenchmark for (2998ds/141193Mi)
% 5.82/1.95 % (4096645)dis-21_1_sil=8000:lcm=predicate:random_seed=4226486394:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2998 on theBenchmark for (2998ds/129Mi)
% 5.82/1.95 % (4096642)Refutation not found, incomplete strategy
% 5.82/1.95 % (4096642)------------------------------
% 5.82/1.95 % (4096642)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.82/1.95 % (4096642)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.82/1.95 % (4096642)CaDiCaL version: 2.1.3
% 5.82/1.95 % (4096642)Termination reason: Refutation not found, incomplete strategy
% 5.82/1.95 % (4096642)Time elapsed: 0.024 s
% 5.82/1.95 % (4096642)Peak memory usage: 93 MB
% 5.82/1.95 % (4096642)Instructions burned: 24 (million)
% 5.82/1.95 % (4096645)First to succeed.
% 5.82/1.95 % (4096645)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4096634"
% 5.82/1.95 % (4096643)Instruction limit reached!
% 5.82/1.95 % (4096643)------------------------------
% 5.82/1.95 % (4096643)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.82/1.95 % (4096643)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.82/1.95 % (4096643)CaDiCaL version: 2.1.3
% 5.82/1.95 % (4096643)Termination reason: Instruction limit
% 5.82/1.95 % (4096643)Termination phase: Saturation
% 5.82/1.95 % (4096643)Time elapsed: 0.084 s
% 5.82/1.95 % (4096643)Peak memory usage: 93 MB
% 5.82/1.95 % (4096643)Instructions burned: 119 (million)
% 5.82/1.95 % (4096644)Instruction limit reached!
% 5.82/1.95 % (4096644)------------------------------
% 5.82/1.95 % (4096644)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.82/1.95 % (4096644)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.82/1.95 % (4096644)CaDiCaL version: 2.1.3
% 5.82/1.95 % (4096644)Termination reason: Instruction limit
% 5.82/1.95 % (4096644)Termination phase: Property scanning
% 5.82/1.95 % (4096644)Time elapsed: 0.136 s
% 5.82/1.95 % (4096644)Peak memory usage: 93 MB
% 5.82/1.95 % (4096644)Instructions burned: 139 (million)
% 5.82/1.95 % (4096653)lrs+10_1_sil=8000:sp=occurrence:random_seed=2482589562:i=285:sd=3:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/285Mi)
% 5.82/1.96 % (4096653)Also succeeded, but the first one will report.
% 5.82/1.96 % (4096654)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1051825672:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2994 on theBenchmark for (2994ds/157Mi)
% 5.82/1.96 % (4096642)------------------------------
% 5.82/1.96 % (4096642)------------------------------
% 5.82/1.96 % (4096654)Also succeeded, but the first one will report.
% 5.82/1.96 % (4096645)Refutation found. Thanks to Tanya!
% 5.82/1.96 % SZS status Theorem for theBenchmark
% 5.82/1.96 % SZS output start Proof for theBenchmark
% See solution above
% 5.82/1.96 % (4096645)------------------------------
% 5.82/1.96 % (4096645)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.82/1.96 % (4096645)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.82/1.96 % (4096645)CaDiCaL version: 2.1.3
% 5.82/1.96 % (4096645)Termination reason: Refutation
% 5.82/1.96 % (4096645)Time elapsed: 0.037 s
% 5.82/1.96 % (4096645)Peak memory usage: 95 MB
% 5.82/1.96 % (4096645)Instructions burned: 35 (million)
% 5.82/1.96 % (4096645)------------------------------
% 5.82/1.96 % (4096645)------------------------------
% 5.82/1.96 % (4096634)Success in time 0.837 s
% 5.82/1.96 % Vampire exiting
%------------------------------------------------------------------------------