%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : PUZ054-1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n011.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 12:32:05 PM UTC 2026
% Result : Satisfiable 0.19s 0.49s
% Output : Saturation 0.19s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(two_blacks_out_one_black_in,axiom,
( ~ p(X0,s(s(X1)))
| p(X0,s(X1)) ) ).
cnf(u132,axiom,
p(s(s(s(s(n0)))),s(s(s(s(s(s(n0))))))) ).
cnf(u13,axiom,
p(s(s(s(s(n0)))),s(s(s(s(s(s(s(s(s(s(s(s(n0))))))))))))) ).
cnf(u149,axiom,
p(s(s(s(s(n0)))),s(s(s(s(s(n0)))))) ).
cnf(u42,axiom,
p(n0,s(s(s(s(s(s(s(s(s(s(n0))))))))))) ).
cnf(goal_state,negated_conjecture,
~ p(s(n0),n0) ).
cnf(u34,axiom,
p(n0,s(s(s(s(s(s(s(s(s(s(s(s(n0))))))))))))) ).
cnf(u7,axiom,
p(s(s(s(s(s(s(s(s(n0)))))))),s(s(s(s(s(s(s(s(s(s(n0))))))))))) ).
cnf(u171,axiom,
p(s(s(s(s(n0)))),s(n0)) ).
cnf(u161,axiom,
p(s(s(s(s(n0)))),s(s(s(n0)))) ).
cnf(u46,axiom,
p(n0,s(s(s(s(s(s(s(s(s(n0)))))))))) ).
cnf(u38,axiom,
p(n0,s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))) ).
cnf(u123,axiom,
p(s(s(n0)),s(s(s(n0)))) ).
cnf(u74,axiom,
p(n0,s(s(n0))) ).
cnf(u165,axiom,
p(s(s(s(s(n0)))),s(s(n0))) ).
cnf(u84,axiom,
p(s(s(s(s(n0)))),s(s(s(s(s(s(s(s(n0))))))))) ).
cnf(u66,axiom,
p(n0,s(s(s(s(n0))))) ).
cnf(u26,axiom,
p(s(s(n0)),s(s(s(s(s(s(s(s(s(s(s(s(n0))))))))))))) ).
cnf(u117,axiom,
p(s(s(n0)),s(s(s(s(n0))))) ).
cnf(u78,axiom,
p(n0,s(n0)) ).
cnf(u174,axiom,
p(s(s(s(s(n0)))),n0) ).
cnf(u69,axiom,
p(s(s(s(s(s(s(n0)))))),s(s(s(s(s(s(s(n0)))))))) ).
cnf(u87,axiom,
p(s(s(n0)),s(s(s(s(s(s(s(s(s(n0)))))))))) ).
cnf(u70,axiom,
p(n0,s(s(s(n0)))) ).
cnf(u155,axiom,
p(s(s(s(s(n0)))),s(s(s(s(n0))))) ).
cnf(u111,axiom,
p(s(s(n0)),s(s(s(s(s(n0)))))) ).
cnf(u30,axiom,
p(n0,s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))) ).
cnf(u105,axiom,
p(s(s(n0)),s(s(s(s(s(s(n0))))))) ).
cnf(u57,axiom,
p(s(s(s(s(s(s(s(s(s(s(n0)))))))))),s(s(s(s(n0))))) ).
cnf(u8,axiom,
p(s(s(s(s(s(s(s(s(s(s(n0)))))))))),s(s(s(s(s(s(s(s(n0))))))))) ).
cnf(u10,axiom,
p(s(s(s(s(s(s(n0)))))),s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))) ).
cnf(u143,axiom,
p(s(s(s(s(s(s(s(s(n0)))))))),s(s(n0))) ).
cnf(u20,axiom,
p(s(s(s(s(n0)))),s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))) ).
cnf(two_whites_out_one_black_in,axiom,
( ~ p(s(s(X0)),X1)
| p(X0,s(X1)) ) ).
cnf(u61,axiom,
p(s(s(n0)),s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))) ).
cnf(u129,axiom,
p(s(s(n0)),s(s(n0))) ).
cnf(u139,axiom,
p(s(s(n0)),n0) ).
cnf(u53,axiom,
p(s(s(s(s(s(s(s(s(n0)))))))),s(s(s(s(s(s(n0))))))) ).
cnf(u14,axiom,
p(s(s(s(s(s(s(n0)))))),s(s(s(s(s(s(s(s(s(s(n0))))))))))) ).
cnf(u135,axiom,
p(s(s(n0)),s(n0)) ).
cnf(u49,axiom,
p(s(s(s(s(s(s(n0)))))),s(s(s(s(s(s(s(s(n0))))))))) ).
cnf(u81,axiom,
p(s(s(n0)),s(s(s(s(s(s(s(s(s(s(n0))))))))))) ).
cnf(u168,axiom,
p(s(s(s(s(s(s(n0)))))),s(s(n0))) ).
cnf(u41,axiom,
p(s(s(s(s(s(s(s(s(s(s(n0)))))))))),s(s(s(s(s(n0)))))) ).
cnf(u181,axiom,
p(s(s(s(s(s(s(n0)))))),n0) ).
cnf(u120,axiom,
p(s(s(s(s(s(s(s(s(n0)))))))),s(s(s(n0)))) ).
cnf(u93,axiom,
p(s(s(n0)),s(s(s(s(s(s(s(s(n0))))))))) ).
cnf(u99,axiom,
p(s(s(n0)),s(s(s(s(s(s(s(n0)))))))) ).
cnf(u172,axiom,
p(s(s(s(s(s(s(s(s(n0)))))))),n0) ).
cnf(two_different_balls_out_one_white_in,axiom,
( ~ p(s(X0),s(X1))
| p(s(X0),X1) ) ).
cnf(u114,axiom,
p(s(s(s(s(s(s(n0)))))),s(s(s(s(s(n0)))))) ).
cnf(u45,axiom,
p(s(s(s(s(n0)))),s(s(s(s(s(s(s(s(s(s(n0))))))))))) ).
cnf(u96,axiom,
p(s(s(s(s(s(s(s(s(n0)))))))),s(s(s(s(n0))))) ).
cnf(u37,axiom,
p(s(s(s(s(s(s(s(s(n0)))))))),s(s(s(s(s(s(s(n0)))))))) ).
cnf(u126,axiom,
p(s(s(s(s(s(s(s(s(s(s(n0)))))))))),s(n0)) ).
cnf(u73,axiom,
p(s(s(s(s(s(s(s(s(n0)))))))),s(s(s(s(s(n0)))))) ).
cnf(u152,axiom,
p(s(s(s(s(s(s(n0)))))),s(s(s(n0)))) ).
cnf(u33,axiom,
p(s(s(s(s(s(s(n0)))))),s(s(s(s(s(s(s(s(s(n0)))))))))) ).
cnf(u65,axiom,
p(s(s(s(s(n0)))),s(s(s(s(s(s(s(s(s(n0)))))))))) ).
cnf(u108,axiom,
p(s(s(s(s(n0)))),s(s(s(s(s(s(s(n0)))))))) ).
cnf(u25,axiom,
p(n0,s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0))))))))))))))) ).
cnf(u77,axiom,
p(s(s(s(s(s(s(s(s(s(s(n0)))))))))),s(s(s(n0)))) ).
cnf(u17,axiom,
p(s(s(s(s(s(s(s(s(s(s(n0)))))))))),s(s(s(s(s(s(s(n0)))))))) ).
cnf(u19,axiom,
p(s(s(n0)),s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))) ).
cnf(u158,axiom,
p(s(s(s(s(s(s(s(s(n0)))))))),s(n0)) ).
cnf(u29,axiom,
p(s(s(s(s(s(s(s(s(s(s(n0)))))))))),s(s(s(s(s(s(n0))))))) ).
cnf(u138,axiom,
p(s(s(s(s(s(s(n0)))))),s(s(s(s(n0))))) ).
cnf(u58,axiom,
p(n0,s(s(s(s(s(s(n0))))))) ).
cnf(u145,axiom,
p(s(s(s(s(s(s(s(s(s(s(n0)))))))))),n0) ).
cnf(u50,axiom,
p(n0,s(s(s(s(s(s(s(s(n0))))))))) ).
cnf(u23,axiom,
p(s(s(s(s(s(s(s(s(n0)))))))),s(s(s(s(s(s(s(s(n0))))))))) ).
cnf(u102,axiom,
p(s(s(s(s(s(s(s(s(s(s(n0)))))))))),s(s(n0))) ).
cnf(u62,axiom,
p(n0,s(s(s(s(s(n0)))))) ).
cnf(u54,axiom,
p(n0,s(s(s(s(s(s(s(n0)))))))) ).
cnf(u11,axiom,
p(s(s(s(s(s(s(s(s(n0)))))))),s(s(s(s(s(s(s(s(s(n0)))))))))) ).
cnf(initial_state,axiom,
p(s(s(s(s(s(s(s(s(s(s(n0)))))))))),s(s(s(s(s(s(s(s(s(n0)))))))))) ).
cnf(u90,axiom,
p(s(s(s(s(s(s(n0)))))),s(s(s(s(s(s(n0))))))) ).
cnf(u178,axiom,
p(s(s(s(s(s(s(n0)))))),s(n0)) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ054-1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41 % Computer : n011.cluster.edu
% 0.11/0.41 % Model : x86_64 x86_64
% 0.11/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.41 % Memory : 8046.5625MB
% 0.11/0.41 % OS : Linux 6.8.0-71-generic
% 0.11/0.41 % CPULimit : 300
% 0.11/0.41 % WCLimit : 300
% 0.11/0.41 % DateTime : Sun Sep 27 22:37:01 UTC 2026
% 0.11/0.41 % CPUTime :
% 0.11/0.41 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.44 Running first-order model finding
% 0.11/0.44 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
% 0.19/0.49 % (2824443)Will run a generic schedule for satisfiability detection.
% 0.19/0.49 % (2824453)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1828163202:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.49 % (2824453) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2824443-2824453"...
% 0.19/0.49 % (2824453)...printing done.
% 0.19/0.49 % SZS status Satisfiable for theBenchmark
% 0.19/0.49 % SZS output start Saturation.
% See solution above
% 0.19/0.49 % SZS output start Definitions and Model Updates.
% 0.19/0.49 % SZS output end Definitions and Model Updates.
% 0.19/0.49 % (2824453)------------------------------
% 0.19/0.49 % (2824453)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.49 % (2824453)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.49 % (2824453)CaDiCaL version: 2.1.3
% 0.19/0.49 % (2824453)Termination reason: Satisfiable
% 0.19/0.49 % (2824453)Time elapsed: 0.002 s
% 0.19/0.49 % (2824453)Peak memory usage: 11 MB
% 0.19/0.49 % (2824453)Instructions burned: 4 (million)
% 0.19/0.49 % (2824443)Success in time 0.035 s
% 0.19/0.49 % Vampire exiting
%------------------------------------------------------------------------------