%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : CSR056+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 : 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 09:44:44 AM UTC 2026
% Result : Theorem 0.08s 0.26s
% Output : Refutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 11
% Syntax : Number of formulae : 53 ( 14 unt; 4 def)
% Number of atoms : 104 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 95 ( 44 ~; 38 |; 3 &)
% ( 4 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 5 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-1 aty)
% Number of variables : 25 ( 0 sgn 23 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0] :
( artsupplies(X0)
=> supplies(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just2) ).
fof(f8,axiom,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just8) ).
fof(f9,axiom,
genlmt(c_tptp_member3717_mt,c_tptp_spindleheadmt),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just9) ).
fof(f10,axiom,
! [X0] :
( ( mtvisible(c_tptp_spindleheadmt)
& supplies(X0) )
=> tptpofobject(X0,f_tptpquantityfn_14(n_232)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just10) ).
fof(f12,axiom,
( mtvisible(c_cyclistsmt)
=> artsupplies(c_tptpartsupplies) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just12) ).
fof(f47,axiom,
! [X0,X1] :
( ( mtvisible(X0)
& genlmt(X0,X1) )
=> mtvisible(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just47) ).
fof(f69,conjecture,
? [X0] :
( mtvisible(c_tptp_member3717_mt)
=> tptpofobject(c_tptpartsupplies,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query56) ).
fof(f70,negated_conjecture,
~ ? [X0] :
( mtvisible(c_tptp_member3717_mt)
=> tptpofobject(c_tptpartsupplies,X0) ),
inference(negated_conjecture,[status(cth)],[f69]) ).
fof(f82,plain,
! [X0] :
( supplies(X0)
| ~ artsupplies(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f83,plain,
! [X0] :
( tptpofobject(X0,f_tptpquantityfn_14(n_232))
| ~ mtvisible(c_tptp_spindleheadmt)
| ~ supplies(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f84,plain,
! [X0] :
( tptpofobject(X0,f_tptpquantityfn_14(n_232))
| ~ mtvisible(c_tptp_spindleheadmt)
| ~ supplies(X0) ),
inference(flattening,[],[f83]) ).
fof(f86,plain,
( artsupplies(c_tptpartsupplies)
| ~ mtvisible(c_cyclistsmt) ),
inference(ennf_transformation,[],[f12]) ).
fof(f116,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(ennf_transformation,[],[f47]) ).
fof(f117,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(flattening,[],[f116]) ).
fof(f142,plain,
! [X0] :
( ~ tptpofobject(c_tptpartsupplies,X0)
& mtvisible(c_tptp_member3717_mt) ),
inference(ennf_transformation,[],[f70]) ).
fof(f144,plain,
! [X0] :
( supplies(X0)
| ~ artsupplies(X0) ),
inference(cnf_transformation,[],[f82]) ).
fof(f150,plain,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
inference(cnf_transformation,[],[f8]) ).
fof(f151,plain,
genlmt(c_tptp_member3717_mt,c_tptp_spindleheadmt),
inference(cnf_transformation,[],[f9]) ).
fof(f152,plain,
! [X0] :
( ~ supplies(X0)
| ~ mtvisible(c_tptp_spindleheadmt)
| tptpofobject(X0,f_tptpquantityfn_14(n_232)) ),
inference(cnf_transformation,[],[f84]) ).
fof(f154,plain,
( ~ mtvisible(c_cyclistsmt)
| artsupplies(c_tptpartsupplies) ),
inference(cnf_transformation,[],[f86]) ).
fof(f178,plain,
! [X0,X1] :
( ~ mtvisible(X0)
| mtvisible(X1)
| ~ genlmt(X0,X1) ),
inference(cnf_transformation,[],[f117]) ).
fof(f200,plain,
mtvisible(c_tptp_member3717_mt),
inference(cnf_transformation,[],[f142]) ).
fof(f201,plain,
! [X0] : ~ tptpofobject(c_tptpartsupplies,X0),
inference(cnf_transformation,[],[f142]) ).
fof(f203,definition,
( spl0_1
<=> artsupplies(c_tptpartsupplies) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f207,definition,
( spl0_2
<=> mtvisible(c_cyclistsmt) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f209,plain,
( ~ mtvisible(c_cyclistsmt)
| spl0_2 ),
inference(avatar_component_clause,[],[f207]) ).
fof(f210,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f154,f207,f203]) ).
fof(f212,definition,
( spl0_3
<=> mtvisible(c_tptp_spindleheadmt) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f214,plain,
( ~ mtvisible(c_tptp_spindleheadmt)
| spl0_3 ),
inference(avatar_component_clause,[],[f212]) ).
fof(f216,definition,
( spl0_4
<=> ! [X0] :
( ~ supplies(X0)
| tptpofobject(X0,f_tptpquantityfn_14(n_232)) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f217,plain,
( ! [X0] :
( tptpofobject(X0,f_tptpquantityfn_14(n_232))
| ~ supplies(X0) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f216]) ).
fof(f218,plain,
( ~ spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f152,f216,f212]) ).
fof(f229,plain,
! [X0] :
( mtvisible(X0)
| ~ genlmt(c_tptp_member3717_mt,X0) ),
inference(resolution,[],[f178,f200]) ).
fof(f234,plain,
( ~ genlmt(c_tptp_member3717_mt,c_tptp_spindleheadmt)
| spl0_3 ),
inference(resolution,[],[f229,f214]) ).
fof(f235,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ genlmt(c_tptp_member3717_mt,X0)
| ~ genlmt(X0,X1) ),
inference(resolution,[],[f229,f178]) ).
fof(f236,plain,
( $false
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f234,f151]) ).
fof(f237,plain,
spl0_3,
inference(avatar_contradiction_clause,[],[f236]) ).
fof(f239,plain,
( ~ supplies(c_tptpartsupplies)
| ~ spl0_4 ),
inference(resolution,[],[f217,f201]) ).
fof(f241,plain,
( ~ artsupplies(c_tptpartsupplies)
| ~ spl0_4 ),
inference(resolution,[],[f239,f144]) ).
fof(f242,plain,
( ~ spl0_1
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f241,f216,f203]) ).
fof(f245,plain,
( ! [X0] :
( ~ genlmt(c_tptp_member3717_mt,X0)
| ~ genlmt(X0,c_cyclistsmt) )
| spl0_2 ),
inference(resolution,[],[f235,f209]) ).
fof(f247,plain,
( ~ genlmt(c_tptp_spindleheadmt,c_cyclistsmt)
| spl0_2 ),
inference(resolution,[],[f245,f151]) ).
fof(f248,plain,
( $false
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f247,f150]) ).
fof(f249,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f248]) ).
cnf(s1,plain,
( spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f210]) ).
cnf(s2,plain,
( ~ spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f218]) ).
cnf(s3,plain,
spl0_3,
inference(sat_conversion,[],[f237]) ).
cnf(s4,plain,
( ~ spl0_1
| ~ spl0_4 ),
inference(sat_conversion,[],[f242]) ).
cnf(s5,plain,
spl0_2,
inference(sat_conversion,[],[f249]) ).
cnf(s6,plain,
spl0_4,
inference(rat,[],[s2,s3]) ).
cnf(s7,plain,
~ spl0_1,
inference(rat,[],[s4,s6]) ).
cnf(s8,plain,
$false,
inference(rat,[],[s1,s5,s7]) ).
fof(f250,plain,
$false,
inference(avatar_sat_refutation,[],[s8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR056+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n009.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 22:20:45 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22 Running first-order model finding
% 0.08/0.22 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
% 0.08/0.26 % (3562363)Will run a generic schedule for satisfiability detection.
% 0.08/0.26 % (3562372)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2657570235:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.08/0.26 % (3562372) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3562363-3562372"...
% 0.08/0.26 % (3562372)...printing done.
% 0.08/0.26 % (3562369)% WARNING: option uhcvi not known.
% 0.08/0.26 % (3562372)Refutation found. Thanks to Tanya!
% 0.08/0.26 % SZS status Theorem for theBenchmark
% 0.08/0.26 % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.26 % (3562372)------------------------------
% 0.08/0.26 % (3562372)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.26 % (3562372)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.26 % (3562372)CaDiCaL version: 2.1.3
% 0.08/0.26 % (3562372)Termination reason: Refutation
% 0.08/0.26 % (3562372)Time elapsed: 0.002 s
% 0.08/0.26 % (3562372)Peak memory usage: 12 MB
% 0.08/0.26 % (3562372)Instructions burned: 4 (million)
% 0.08/0.26 % (3562363)Success in time 0.025 s
% 0.08/0.26 % Vampire exiting
%------------------------------------------------------------------------------