%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : COL058-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n004.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 09:38:18 AM UTC 2026
% Result : Unsatisfiable 0.26s 0.36s
% Output : Refutation 0.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 2
% Syntax : Number of formulae : 12 ( 12 unt; 0 def)
% Number of atoms : 12 ( 11 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 7 ( 7 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-2 aty)
% Number of variables : 8 ( 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : response(response(lark,X0),X1) = response(X0,response(X1,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lark_exists) ).
fof(f2,negated_conjecture,
response(response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark))),response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark)))) != response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_the_bird_exists) ).
fof(f3,plain,
response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark))) != response(response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark))),response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark)))),
inference(reorient_equations,[],[f2]) ).
fof(f4,plain,
! [X0,X1] : response(response(X0,X0),response(X1,X1)) = response(response(response(lark,lark),X0),X1),
inference(superposition,[],[f1,f1]) ).
fof(f5,plain,
! [X0,X1] : response(response(lark,X1),response(X0,X0)) = response(X1,response(response(lark,response(X0,X0)),X0)),
inference(superposition,[],[f1,f1]) ).
fof(f11,plain,
! [X0,X1] : response(response(lark,response(X0,X0)),X1) = response(response(response(lark,lark),X0),X1),
inference(superposition,[],[f4,f1]) ).
fof(f46,plain,
response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark))) != response(response(lark,response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark)))),response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),
inference(superposition,[],[f3,f5]) ).
fof(f60,plain,
response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark))) != response(response(lark,response(lark,response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark))))),response(lark,response(lark,lark))),
inference(forward_demodulation,[],[f46,f1]) ).
fof(f71,plain,
response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark))) != response(response(lark,response(response(lark,lark),response(response(lark,response(lark,lark)),response(lark,response(lark,lark))))),response(lark,response(lark,lark))),
inference(forward_demodulation,[],[f60,f5]) ).
fof(f76,plain,
response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark))) != response(response(lark,response(response(response(lark,lark),lark),response(lark,response(lark,lark)))),response(lark,response(lark,lark))),
inference(forward_demodulation,[],[f71,f4]) ).
fof(f78,plain,
response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark))) != response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark))),
inference(forward_demodulation,[],[f76,f11]) ).
fof(f79,plain,
$false,
inference(trivial_inequality_removal,[],[f78]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : COL058-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.27 % Computer : n004.cluster.edu
% 0.11/0.27 % Model : x86_64 x86_64
% 0.11/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.27 % Memory : 8046.5625MB
% 0.11/0.27 % OS : Linux 6.8.0-71-generic
% 0.11/0.27 % CPULimit : 300
% 0.11/0.27 % WCLimit : 300
% 0.11/0.27 % DateTime : Mon Sep 28 21:31:22 UTC 2026
% 0.26/0.28 % CPUTime :
% 0.26/0.28 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.26/0.33 Running first-order model finding
% 0.26/0.33 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
% 0.26/0.36 % (809515)Will run a generic schedule for satisfiability detection.
% 0.26/0.36 % (809523)dis+10_1_sil=32000:sp=arity:random_seed=4216555484:i=103:fgj=on_3000 on theBenchmark for (3000ds/103Mi)
% 0.26/0.36 % (809523) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-809515-809523"...
% 0.26/0.36 % (809523)...printing done.
% 0.26/0.36 % (809523)Refutation found. Thanks to Tanya!
% 0.26/0.36 % SZS status Unsatisfiable for theBenchmark
% 0.26/0.36 % SZS output start Proof for theBenchmark
% See solution above
% 0.26/0.36 % (809523)------------------------------
% 0.26/0.36 % (809523)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.26/0.36 % (809523)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.26/0.36 % (809523)CaDiCaL version: 2.1.3
% 0.26/0.36 % (809523)Termination reason: Refutation
% 0.26/0.36 % (809523)Time elapsed: 0.004 s
% 0.26/0.36 % (809523)Peak memory usage: 11 MB
% 0.26/0.36 % (809523)Instructions burned: 7 (million)
% 0.26/0.36 % (809515)Success in time 0.026 s
% 0.26/0.36 % Vampire exiting
%------------------------------------------------------------------------------