%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : CSR065+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 : n020.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 09:44:51 AM UTC 2026
% Result : Theorem 0.08s 0.25s
% Output : Refutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 10
% Syntax : Number of formulae : 47 ( 19 unt; 2 def)
% Number of atoms : 83 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 67 ( 31 ~; 26 |; 3 &)
% ( 2 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 3 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-1 aty)
% Number of variables : 13 ( 0 sgn 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just5) ).
fof(f6,axiom,
genlmt(c_tptp_spindlecollectormt,c_tptp_member235_mt),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just6) ).
fof(f7,axiom,
genlmt(c_tptp_member3993_mt,c_tptp_spindleheadmt),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just7) ).
fof(f8,axiom,
genlmt(c_tptp_spindlecollectormt,c_tptp_member3993_mt),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just8) ).
fof(f9,axiom,
( mtvisible(c_cyclistsmt)
=> ridgeline_topographical(c_tptpridgeline_topographical) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just9) ).
fof(f10,axiom,
! [X0] :
( ( mtvisible(c_tptp_member235_mt)
& ridgeline_topographical(X0) )
=> tptpofobject(X0,f_tptpquantityfn_13(n_468)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just10) ).
fof(f48,axiom,
! [X0,X1] :
( ( mtvisible(X0)
& genlmt(X0,X1) )
=> mtvisible(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just48) ).
fof(f57,conjecture,
( mtvisible(c_tptp_spindlecollectormt)
=> tptpofobject(c_tptpridgeline_topographical,f_tptpquantityfn_13(n_468)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query65) ).
fof(f58,negated_conjecture,
~ ( mtvisible(c_tptp_spindlecollectormt)
=> tptpofobject(c_tptpridgeline_topographical,f_tptpquantityfn_13(n_468)) ),
inference(negated_conjecture,[status(cth)],[f57]) ).
fof(f79,plain,
( ridgeline_topographical(c_tptpridgeline_topographical)
| ~ mtvisible(c_cyclistsmt) ),
inference(ennf_transformation,[],[f9]) ).
fof(f80,plain,
! [X0] :
( tptpofobject(X0,f_tptpquantityfn_13(n_468))
| ~ mtvisible(c_tptp_member235_mt)
| ~ ridgeline_topographical(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f81,plain,
! [X0] :
( tptpofobject(X0,f_tptpquantityfn_13(n_468))
| ~ mtvisible(c_tptp_member235_mt)
| ~ ridgeline_topographical(X0) ),
inference(flattening,[],[f80]) ).
fof(f102,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(ennf_transformation,[],[f48]) ).
fof(f103,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(flattening,[],[f102]) ).
fof(f112,plain,
( ~ tptpofobject(c_tptpridgeline_topographical,f_tptpquantityfn_13(n_468))
& mtvisible(c_tptp_spindlecollectormt) ),
inference(ennf_transformation,[],[f58]) ).
fof(f117,plain,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
inference(cnf_transformation,[],[f5]) ).
fof(f118,plain,
genlmt(c_tptp_spindlecollectormt,c_tptp_member235_mt),
inference(cnf_transformation,[],[f6]) ).
fof(f119,plain,
genlmt(c_tptp_member3993_mt,c_tptp_spindleheadmt),
inference(cnf_transformation,[],[f7]) ).
fof(f120,plain,
genlmt(c_tptp_spindlecollectormt,c_tptp_member3993_mt),
inference(cnf_transformation,[],[f8]) ).
fof(f121,plain,
( ridgeline_topographical(c_tptpridgeline_topographical)
| ~ mtvisible(c_cyclistsmt) ),
inference(cnf_transformation,[],[f79]) ).
fof(f122,plain,
! [X0] :
( tptpofobject(X0,f_tptpquantityfn_13(n_468))
| ~ mtvisible(c_tptp_member235_mt)
| ~ ridgeline_topographical(X0) ),
inference(cnf_transformation,[],[f81]) ).
fof(f140,plain,
! [X0,X1] :
( ~ genlmt(X0,X1)
| ~ mtvisible(X0)
| mtvisible(X1) ),
inference(cnf_transformation,[],[f103]) ).
fof(f149,plain,
mtvisible(c_tptp_spindlecollectormt),
inference(cnf_transformation,[],[f112]) ).
fof(f150,plain,
~ tptpofobject(c_tptpridgeline_topographical,f_tptpquantityfn_13(n_468)),
inference(cnf_transformation,[],[f112]) ).
fof(f158,definition,
( spl0_3
<=> mtvisible(c_cyclistsmt) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f160,plain,
( ~ mtvisible(c_cyclistsmt)
| spl0_3 ),
inference(avatar_component_clause,[],[f158]) ).
fof(f162,definition,
( spl0_4
<=> ridgeline_topographical(c_tptpridgeline_topographical) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f164,plain,
( ridgeline_topographical(c_tptpridgeline_topographical)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f162]) ).
fof(f165,plain,
( ~ spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f121,f162,f158]) ).
fof(f249,plain,
( ~ mtvisible(c_tptp_spindleheadmt)
| mtvisible(c_cyclistsmt) ),
inference(resolution,[],[f140,f117]) ).
fof(f250,plain,
( ~ mtvisible(c_tptp_spindlecollectormt)
| mtvisible(c_tptp_member235_mt) ),
inference(resolution,[],[f140,f118]) ).
fof(f251,plain,
( ~ mtvisible(c_tptp_spindlecollectormt)
| mtvisible(c_tptp_member3993_mt) ),
inference(resolution,[],[f140,f120]) ).
fof(f252,plain,
( ~ mtvisible(c_tptp_member3993_mt)
| mtvisible(c_tptp_spindleheadmt) ),
inference(resolution,[],[f140,f119]) ).
fof(f253,plain,
mtvisible(c_tptp_member3993_mt),
inference(forward_subsumption_resolution,[],[f251,f149]) ).
fof(f254,plain,
mtvisible(c_tptp_member235_mt),
inference(forward_subsumption_resolution,[],[f250,f149]) ).
fof(f255,plain,
( ~ mtvisible(c_tptp_spindleheadmt)
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f249,f160]) ).
fof(f256,plain,
( $false
| spl0_3 ),
inference(global_subsumption,[],[f255,f253,f252]) ).
fof(f257,plain,
spl0_3,
inference(avatar_contradiction_clause,[],[f256]) ).
fof(f279,plain,
! [X0] :
( tptpofobject(X0,f_tptpquantityfn_13(n_468))
| ~ ridgeline_topographical(X0) ),
inference(forward_subsumption_resolution,[],[f122,f254]) ).
fof(f286,plain,
~ ridgeline_topographical(c_tptpridgeline_topographical),
inference(resolution,[],[f279,f150]) ).
fof(f287,plain,
( $false
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f286,f164]) ).
fof(f288,plain,
~ spl0_4,
inference(avatar_contradiction_clause,[],[f287]) ).
cnf(s57,plain,
( ~ spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f165]) ).
cnf(s133,plain,
spl0_3,
inference(sat_conversion,[],[f257]) ).
cnf(s169,plain,
~ spl0_4,
inference(sat_conversion,[],[f288]) ).
cnf(s171,plain,
$false,
inference(rat,[],[s57,s169,s133]) ).
fof(f289,plain,
$false,
inference(avatar_sat_refutation,[],[s171]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR065+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18 % Computer : n020.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 22:23:35 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 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
% 0.08/0.25 % (641306)Will run a generic schedule for satisfiability detection.
% 0.08/0.25 % (641313)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3269560071:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.08/0.25 % (641313) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-641306-641313"...
% 0.08/0.25 % (641313)...printing done.
% 0.08/0.25 % (641313)Refutation found. Thanks to Tanya!
% 0.08/0.25 % SZS status Theorem for theBenchmark
% 0.08/0.25 % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.25 % (641313)------------------------------
% 0.08/0.25 % (641313)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.25 % (641313)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.25 % (641313)CaDiCaL version: 2.1.3
% 0.08/0.25 % (641313)Termination reason: Refutation
% 0.08/0.25 % (641313)Time elapsed: 0.002 s
% 0.08/0.25 % (641313)Peak memory usage: 12 MB
% 0.08/0.25 % (641313)Instructions burned: 4 (million)
% 0.08/0.25 % (641306)Success in time 0.019 s
% 0.08/0.25 % Vampire exiting
%------------------------------------------------------------------------------