%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN050-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n002.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 02:06:33 PM UTC 2026
% Result : Unsatisfiable 0.08s 0.24s
% Output : Refutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 19 ( 9 unt; 2 def)
% Number of atoms : 30 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 28 ( 17 ~; 9 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 3 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 9 ( 0 sgn 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0,X1] :
( ~ big_p(X0)
| ~ big_q(X1)
| big_r(f(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).
fof(f3,negated_conjecture,
big_p(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).
fof(f4,negated_conjecture,
big_q(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4) ).
fof(f5,negated_conjecture,
! [X0] : ~ big_r(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_5) ).
fof(f6,plain,
! [X0,X1] :
( ~ big_p(X0)
| ~ big_q(X1) ),
inference(forward_subsumption_resolution,[],[f1,f5]) ).
fof(f8,definition,
( spl0_1
<=> ! [X1] : ~ big_q(X1) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f9,plain,
( ! [X1] : ~ big_q(X1)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f8]) ).
fof(f11,definition,
( spl0_2
<=> ! [X0] : ~ big_p(X0) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f12,plain,
( ! [X0] : ~ big_p(X0)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f11]) ).
fof(f13,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f6,f11,f8]) ).
fof(f14,plain,
( $false
| ~ spl0_2 ),
inference(resolution,[],[f12,f3]) ).
fof(f15,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f14]) ).
fof(f16,plain,
( $false
| ~ spl0_1 ),
inference(resolution,[],[f9,f4]) ).
fof(f17,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f16]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f13]) ).
cnf(s2,plain,
~ spl0_2,
inference(sat_conversion,[],[f15]) ).
cnf(s3,plain,
~ spl0_1,
inference(sat_conversion,[],[f17]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s2,s3]) ).
fof(f18,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN050-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.17 % Computer : n002.cluster.edu
% 0.08/0.17 % Model : x86_64 x86_64
% 0.08/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.17 % Memory : 8046.5625MB
% 0.08/0.17 % OS : Linux 6.8.0-71-generic
% 0.08/0.17 % CPULimit : 300
% 0.08/0.17 % WCLimit : 300
% 0.08/0.17 % DateTime : Mon Sep 28 15:29:07 UTC 2026
% 0.08/0.17 % CPUTime :
% 0.08/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.20 Running first-order model finding
% 0.08/0.20 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.24 % (449975)Will run a generic schedule for satisfiability detection.
% 0.08/0.24 % (449985)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3700862665:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.08/0.24 % (449985) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-449975-449985"...
% 0.08/0.24 % (449985)...printing done.
% 0.08/0.24 % (449985)Refutation found. Thanks to Tanya!
% 0.08/0.24 % SZS status Unsatisfiable for theBenchmark
% 0.08/0.24 % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.24 % (449985)------------------------------
% 0.08/0.24 % (449985)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.24 % (449985)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.24 % (449985)CaDiCaL version: 2.1.3
% 0.08/0.24 % (449985)Termination reason: Refutation
% 0.08/0.24 % (449985)Time elapsed: 0.001 s
% 0.08/0.24 % (449985)Peak memory usage: 12 MB
% 0.08/0.24 % (449975)Success in time 0.027 s
% 0.08/0.24 % Vampire exiting
%------------------------------------------------------------------------------