%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN009-4 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n013.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 02:06:26 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.24s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 34 ( 12 unt; 3 def)
% Number of atoms : 74 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 74 ( 34 ~; 37 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 4 prp; 0-3 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 21 ( 0 sgn 21 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X2,X0,X1] :
( ~ m(X0,X1,X2)
| ~ p(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1) ).
fof(f2,negated_conjecture,
! [X2,X0,X1] :
( ~ q(X0,X1,X2)
| ~ m(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2) ).
fof(f3,negated_conjecture,
! [X2,X0,X1] :
( ~ r(X0,X1,X2)
| ~ m(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).
fof(f6,negated_conjecture,
s(c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_6) ).
fof(f7,negated_conjecture,
~ n(c,c,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_7) ).
fof(f8,negated_conjecture,
! [X2,X0,X1] :
( ~ s(X0)
| ~ s(X1)
| ~ s(X2)
| p(X0,X1,X2)
| q(X0,X1,X2)
| r(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_8) ).
fof(f9,negated_conjecture,
! [X2,X0,X1] :
( ~ s(X0)
| ~ s(X1)
| ~ s(X2)
| m(X0,X1,X2)
| n(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_9) ).
fof(f12,plain,
! [X0,X1] :
( ~ s(X0)
| ~ s(X1)
| m(c,X0,X1)
| n(c,X0,X1) ),
inference(resolution,[],[f9,f6]) ).
fof(f18,plain,
! [X0,X1] :
( ~ s(X0)
| ~ s(X1)
| p(c,X0,X1)
| q(c,X0,X1)
| r(c,X0,X1) ),
inference(resolution,[],[f8,f6]) ).
fof(f55,plain,
! [X0] :
( ~ s(X0)
| m(c,c,X0)
| n(c,c,X0) ),
inference(resolution,[],[f12,f6]) ).
fof(f64,plain,
! [X0] :
( ~ s(X0)
| p(c,c,X0)
| q(c,c,X0)
| r(c,c,X0) ),
inference(resolution,[],[f18,f6]) ).
fof(f277,plain,
( m(c,c,c)
| n(c,c,c) ),
inference(resolution,[],[f55,f6]) ).
fof(f278,plain,
m(c,c,c),
inference(forward_subsumption_resolution,[],[f277,f7]) ).
fof(f637,plain,
( p(c,c,c)
| q(c,c,c)
| r(c,c,c) ),
inference(resolution,[],[f64,f6]) ).
fof(f639,definition,
( spl0_125
<=> r(c,c,c) ),
introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).
fof(f641,plain,
( r(c,c,c)
| ~ spl0_125 ),
inference(avatar_component_clause,[],[f639]) ).
fof(f643,definition,
( spl0_126
<=> q(c,c,c) ),
introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).
fof(f645,plain,
( q(c,c,c)
| ~ spl0_126 ),
inference(avatar_component_clause,[],[f643]) ).
fof(f647,definition,
( spl0_127
<=> p(c,c,c) ),
introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).
fof(f650,plain,
( spl0_125
| spl0_126
| spl0_127 ),
inference(avatar_split_clause,[],[f637,f647,f643,f639]) ).
fof(f677,plain,
~ p(c,c,c),
inference(resolution,[],[f278,f1]) ).
fof(f678,plain,
~ spl0_127,
inference(avatar_split_clause,[],[f677,f647]) ).
fof(f726,plain,
( ~ m(c,c,c)
| ~ spl0_125 ),
inference(resolution,[],[f641,f3]) ).
fof(f727,plain,
( $false
| ~ spl0_125 ),
inference(forward_subsumption_resolution,[],[f726,f278]) ).
fof(f728,plain,
~ spl0_125,
inference(avatar_contradiction_clause,[],[f727]) ).
fof(f729,plain,
( ~ m(c,c,c)
| ~ spl0_126 ),
inference(resolution,[],[f645,f2]) ).
fof(f730,plain,
( $false
| ~ spl0_126 ),
inference(forward_subsumption_resolution,[],[f729,f278]) ).
fof(f731,plain,
~ spl0_126,
inference(avatar_contradiction_clause,[],[f730]) ).
cnf(s52,plain,
( spl0_125
| spl0_126
| spl0_127 ),
inference(sat_conversion,[],[f650]) ).
cnf(s55,plain,
~ spl0_127,
inference(sat_conversion,[],[f678]) ).
cnf(s79,plain,
~ spl0_125,
inference(sat_conversion,[],[f728]) ).
cnf(s80,plain,
~ spl0_126,
inference(sat_conversion,[],[f731]) ).
cnf(s81,plain,
$false,
inference(rat,[],[s52,s55,s80,s79]) ).
fof(f732,plain,
$false,
inference(avatar_sat_refutation,[],[s81]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN009-4 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.16 % Computer : n013.cluster.edu
% 0.10/0.16 % Model : x86_64 x86_64
% 0.10/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.16 % Memory : 8046.5625MB
% 0.10/0.16 % OS : Linux 6.8.0-71-generic
% 0.10/0.16 % CPULimit : 300
% 0.10/0.16 % WCLimit : 300
% 0.10/0.17 % DateTime : Mon Sep 28 15:19:22 UTC 2026
% 0.10/0.17 % CPUTime :
% 0.10/0.17 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.20 Running first-order model finding
% 0.10/0.20 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
% 0.10/0.24 % (1264444)Will run a generic schedule for satisfiability detection.
% 0.10/0.24 % (1264454)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=714354524:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.10/0.24 % (1264454) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1264444-1264454"...
% 0.10/0.24 % (1264450)% WARNING: option uhcvi not known.
% 0.10/0.24 % (1264454)...printing done.
% 0.10/0.24 % (1264454)Refutation found. Thanks to Tanya!
% 0.10/0.24 % SZS status Unsatisfiable for theBenchmark
% 0.10/0.24 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.24 % (1264454)------------------------------
% 0.10/0.24 % (1264454)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.24 % (1264454)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.24 % (1264454)CaDiCaL version: 2.1.3
% 0.10/0.24 % (1264454)Termination reason: Refutation
% 0.10/0.24 % (1264454)Time elapsed: 0.003 s
% 0.10/0.24 % (1264454)Peak memory usage: 12 MB
% 0.10/0.24 % (1264454)Instructions burned: 8 (million)
% 0.10/0.24 % (1264444)Success in time 0.028 s
% 0.10/0.24 % Vampire exiting
%------------------------------------------------------------------------------