%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN567-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 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 : Sun Sep 27 09:38:51 AM UTC 2026
% Result : Unsatisfiable 0.16s 0.44s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 20 ( 13 unt; 0 def)
% Number of atoms : 36 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 32 ( 16 ~; 16 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-1 aty)
% Number of variables : 9 ( 0 sgn 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(p5_3,axiom,
! [VAR_0] : p5(f8(f6(VAR_0)),VAR_0),
file('theBenchmark.p',p5_3) ).
cnf(c_3,plain,
p5(f8(f6(A)),A),
inference(clausify,[status(thm)],[p5_3]) ).
fof(not_p2_4,axiom,
~ p2(f6(c9),f3(f4(c10))),
file('theBenchmark.p',not_p2_4) ).
cnf(c_4,plain,
~ p2(f6(c9),f3(f4(c10))),
inference(clausify,[status(thm)],[not_p2_4]) ).
fof(not_p2_5,axiom,
~ p2(f6(c9),f3(f7(f4(c10)))),
file('theBenchmark.p',not_p2_5) ).
cnf(c_5,plain,
~ p2(f6(c9),f3(f7(f4(c10)))),
inference(clausify,[status(thm)],[not_p2_5]) ).
fof(not_p2_6,axiom,
~ p2(f6(c9),f3(f7(f7(f4(c10))))),
file('theBenchmark.p',not_p2_6) ).
cnf(c_6,plain,
~ p2(f6(c9),f3(f7(f7(f4(c10))))),
inference(clausify,[status(thm)],[not_p2_6]) ).
fof(p2_10,axiom,
! [VAR_0,VAR_1] :
( ~ p5(VAR_0,VAR_1)
| p2(f6(VAR_0),f6(VAR_1)) ),
file('theBenchmark.p',p2_10) ).
cnf(c_10,plain,
( ~ p5(A,B)
| p2(f6(A),f6(B)) ),
inference(clausify,[status(thm)],[p2_10]) ).
fof(not_p2_12,axiom,
~ p2(f6(c9),f3(f7(f7(f7(f4(c10)))))),
file('theBenchmark.p',not_p2_12) ).
cnf(c_12,plain,
~ p2(f6(c9),f3(f7(f7(f7(f4(c10)))))),
inference(clausify,[status(thm)],[not_p2_12]) ).
fof(p2_19,axiom,
! [VAR_0] :
( ~ p2(f6(f8(VAR_0)),VAR_0)
| p2(VAR_0,f3(f7(f7(f7(f4(c10))))))
| p2(VAR_0,f3(f7(f7(f4(c10)))))
| p2(VAR_0,f3(f7(f4(c10))))
| p2(VAR_0,f3(f4(c10))) ),
file('theBenchmark.p',p2_19) ).
cnf(c_19,plain,
( ~ p2(f6(f8(A)),A)
| p2(A,f3(f7(f7(f7(f4(c10))))))
| p2(A,f3(f7(f7(f4(c10)))))
| p2(A,f3(f7(f4(c10))))
| p2(A,f3(f4(c10))) ),
inference(clausify,[status(thm)],[p2_19]) ).
cnf(c_20,plain,
p2(f6(f8(f6(A))),f6(A)),
inference(resolve,[status(thm)],[c_10,c_3]) ).
cnf(c_34,plain,
( ~ p2(f6(f8(f6(c9))),f6(c9))
| p2(f6(c9),f3(f7(f7(f7(f4(c10))))))
| p2(f6(c9),f3(f7(f7(f4(c10)))))
| p2(f6(c9),f3(f7(f4(c10)))) ),
inference(resolve,[status(thm)],[c_19,c_4]) ).
cnf(c_35,plain,
( ~ p2(f6(f8(f6(c9))),f6(c9))
| p2(f6(c9),f3(f7(f7(f7(f4(c10))))))
| p2(f6(c9),f3(f7(f7(f4(c10))))) ),
inference(resolve,[status(thm)],[c_34,c_5]) ).
cnf(c_36,plain,
( ~ p2(f6(f8(f6(c9))),f6(c9))
| p2(f6(c9),f3(f7(f7(f7(f4(c10)))))) ),
inference(resolve,[status(thm)],[c_35,c_6]) ).
cnf(c_37,plain,
~ p2(f6(f8(f6(c9))),f6(c9)),
inference(resolve,[status(thm)],[c_36,c_12]) ).
cnf(c_33,plain,
$false,
inference(resolve,[status(thm)],[c_20,c_37]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SYN567-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.42 % Computer : n013.cluster.edu
% 0.16/0.42 % Model : x86_64 x86_64
% 0.16/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.42 % Memory : 8046.5625MB
% 0.16/0.42 % OS : Linux 6.8.0-71-generic
% 0.16/0.42 % CPULimit : 300
% 0.16/0.42 % WCLimit : 300
% 0.16/0.42 % DateTime : Sat Sep 26 18:13:21 UTC 2026
% 0.16/0.43 % CPUTime :
% 0.16/0.43 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.16/0.43 % Process 3339975 was started by sandbox on n013,
% 0.16/0.43 % Sat Sep 26 18:13:21 2026
% 0.16/0.43 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.16/0.43
% 0.16/0.43 % From the command line: assign(max_seconds, 300).
% 0.16/0.44
% 0.16/0.44 % SZS status Unsatisfiable for theBenchmark
% 0.16/0.44
% 0.16/0.44 % Proof 1 at 0.00 (+ 0.00) seconds.
% 0.16/0.44 % Length of proof is 9.
% 0.16/0.44 % Level of proof is 2.
% 0.16/0.44 % Maximum clause weight is 31.000.
% 0.16/0.44 % Given clauses 19.
% 0.16/0.44
% 0.16/0.44 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------