%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN002-1.007.008 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n017.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 : Sun Sep 27 09:36:13 AM UTC 2026
% Result : Unsatisfiable 0.12s 0.37s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 2
% Syntax : Number of formulae : 17 ( 3 unt; 0 def)
% Number of atoms : 31 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 22 ( 8 ~; 14 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 11 ( 4 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 0 con; 1-1 aty)
% Number of variables : 16 ( 2 sgn 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(positive,axiom,
! [VAR_0] :
( p(f(f(f(f(f(f(f(VAR_0))))))))
| p(VAR_0) ),
file('theBenchmark.p',positive) ).
cnf(c_1,plain,
( p(f(f(f(f(f(f(f(A))))))))
| p(A) ),
inference(clausify,[status(thm)],[positive]) ).
fof(negative,axiom,
! [VAR_0] :
( ~ p(f(f(f(f(f(f(f(f(VAR_0)))))))))
| ~ p(VAR_0) ),
file('theBenchmark.p',negative) ).
cnf(c_2,plain,
( ~ p(f(f(f(f(f(f(f(f(A)))))))))
| ~ p(A) ),
inference(clausify,[status(thm)],[negative]) ).
cnf(c_3,plain,
( p(f(A))
| ~ p(A) ),
inference(resolve,[status(thm)],[c_2,c_1]) ).
cnf(c_4,plain,
( p(A)
| p(f(f(f(f(f(f(f(f(A))))))))) ),
inference(resolve,[status(thm)],[c_3,c_1]) ).
cnf(c_5,plain,
( p(f(f(f(f(f(f(f(f(f(A))))))))))
| p(A) ),
inference(resolve,[status(thm)],[c_4,c_3]) ).
cnf(c_6,plain,
( p(f(f(f(f(f(f(f(f(f(f(A)))))))))))
| p(A) ),
inference(resolve,[status(thm)],[c_5,c_3]) ).
cnf(c_7,plain,
( ~ p(f(A))
| p(A) ),
inference(resolve,[status(thm)],[c_5,c_2]) ).
cnf(c_8,plain,
( p(A)
| p(f(f(f(f(f(f(A))))))) ),
inference(resolve,[status(thm)],[c_7,c_1]) ).
cnf(c_12,plain,
( ~ p(f(f(A)))
| p(A) ),
inference(resolve,[status(thm)],[c_6,c_2]) ).
cnf(c_14,plain,
( p(A)
| p(f(f(f(f(A))))) ),
inference(resolve,[status(thm)],[c_12,c_8]) ).
cnf(c_15,plain,
( p(f(f(A)))
| p(A) ),
inference(resolve,[status(thm)],[c_14,c_12]) ).
cnf(c_20,plain,
( p(A)
| p(A) ),
inference(resolve,[status(thm)],[c_15,c_12]) ).
cnf(c_18,plain,
p(A),
inference(copy,[status(thm)],[c_20]) ).
cnf(c_21,plain,
~ p(f(f(f(f(f(f(f(f(A))))))))),
inference(resolve,[status(thm)],[c_18,c_2]) ).
cnf(c_19,plain,
$false,
inference(resolve,[status(thm)],[c_18,c_21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN002-1.007.008 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n017.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sat Sep 26 16:58:49 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.08/0.35 % Process 1223455 was started by sandbox2 on n017,
% 0.08/0.35 % Sat Sep 26 16:58:49 2026
% 0.08/0.35 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.08/0.35
% 0.08/0.35 % From the command line: assign(max_seconds, 300).
% 0.12/0.37
% 0.12/0.37 % SZS status Unsatisfiable for theBenchmark
% 0.12/0.37
% 0.12/0.37 % Proof 1 at 0.00 (+ 0.00) seconds.
% 0.12/0.37 % Length of proof is 13.
% 0.12/0.37 % Level of proof is 9.
% 0.12/0.37 % Maximum clause weight is 14.000.
% 0.12/0.37 % Given clauses 12.
% 0.12/0.37
% 0.12/0.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------