%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN327-1 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n009.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 09:37:34 AM UTC 2026
% Result : Unsatisfiable 0.11s 5.38s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 12 ( 4 unt; 0 def)
% Number of atoms : 23 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 22 ( 11 ~; 11 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 6 ( 0 sgn 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(clause1,axiom,
! [VAR_0] :
( f(a,VAR_0)
| f(VAR_0,a) ),
file('theBenchmark.p',clause1) ).
cnf(c_1,plain,
( f(a,A)
| f(A,a) ),
inference(clausify,[status(thm)],[clause1]) ).
fof(clause4,axiom,
! [VAR_0] :
( ~ f(z(VAR_0),VAR_0)
| ~ f(VAR_0,a)
| f(a,z(VAR_0)) ),
file('theBenchmark.p',clause4) ).
cnf(c_4,plain,
( ~ f(z(A),A)
| ~ f(A,a)
| f(a,z(A)) ),
inference(clausify,[status(thm)],[clause4]) ).
fof(clause5,axiom,
! [VAR_0] :
( ~ f(a,z(VAR_0))
| ~ f(a,VAR_0) ),
file('theBenchmark.p',clause5) ).
cnf(c_5,plain,
( ~ f(a,z(A))
| ~ f(a,A) ),
inference(clausify,[status(thm)],[clause5]) ).
cnf(c_7,plain,
f(a,a),
inference(factor,[status(thm)],[c_1]) ).
cnf(c_13,plain,
( f(a,z(a))
| ~ f(a,a)
| f(a,z(a)) ),
inference(resolve,[status(thm)],[c_4,c_1]) ).
cnf(c_14,plain,
( ~ f(a,a)
| f(a,z(a)) ),
inference(copy,[status(thm)],[c_13]) ).
cnf(c_10,plain,
f(a,z(a)),
inference(resolve,[status(thm)],[c_7,c_14]) ).
cnf(c_15,plain,
~ f(a,z(a)),
inference(resolve,[status(thm)],[c_5,c_7]) ).
cnf(c_12,plain,
$false,
inference(resolve,[status(thm)],[c_10,c_15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN327-1 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/5.36 % Computer : n009.cluster.edu
% 0.11/5.36 % Model : x86_64 x86_64
% 0.11/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.36 % Memory : 8046.5625MB
% 0.11/5.36 % OS : Linux 6.8.0-71-generic
% 0.11/5.36 % CPULimit : 300
% 0.11/5.36 % WCLimit : 300
% 0.11/5.36 % DateTime : Sat Sep 26 17:34:49 UTC 2026
% 0.11/5.37 % CPUTime :
% 0.11/5.37 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.11/5.37 % Process 727233 was started by sandbox on n009,
% 0.11/5.37 % Sat Sep 26 17:34:49 2026
% 0.11/5.37 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.11/5.37
% 0.11/5.37 % From the command line: assign(max_seconds, 300).
% 0.11/5.38
% 0.11/5.38 % SZS status Unsatisfiable for theBenchmark
% 0.11/5.38
% 0.11/5.38 % Proof 1 at 0.00 (+ 0.00) seconds.
% 0.11/5.38 % Length of proof is 6.
% 0.11/5.38 % Level of proof is 3.
% 0.11/5.38 % Maximum clause weight is 11.000.
% 0.11/5.38 % Given clauses 7.
% 0.11/5.38
% 0.11/5.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------