%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN331-1 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/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 09:37:35 AM UTC 2026
% Result : Unsatisfiable 0.18s 0.47s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 10 ( 5 unt; 0 def)
% Number of atoms : 15 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 9 ( 4 ~; 5 |; 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 : 1 ( 1 usr; 0 con; 2-2 aty)
% Number of variables : 17 ( 3 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(clause3,axiom,
! [VAR_0,VAR_1] :
( ~ f(z(VAR_0,VAR_1),z(VAR_0,VAR_1))
| f(VAR_0,VAR_1) ),
file('theBenchmark.p',clause3) ).
cnf(c_3,plain,
( ~ f(z(A,B),z(A,B))
| f(A,B) ),
inference(clausify,[status(thm)],[clause3]) ).
fof(clause5,axiom,
! [VAR_0,VAR_1] :
( f(z(VAR_1,VAR_0),z(VAR_1,VAR_0))
| f(VAR_0,VAR_1) ),
file('theBenchmark.p',clause5) ).
cnf(c_5,plain,
( f(z(B,A),z(B,A))
| f(A,B) ),
inference(clausify,[status(thm)],[clause5]) ).
fof(clause7,axiom,
! [VAR_0,VAR_1] : ~ f(z(VAR_0,VAR_1),VAR_1),
file('theBenchmark.p',clause7) ).
cnf(c_7,plain,
~ f(z(A,B),B),
inference(clausify,[status(thm)],[clause7]) ).
cnf(c_11,plain,
( f(B,A)
| f(A,B) ),
inference(resolve,[status(thm)],[c_5,c_3]) ).
cnf(c_12,plain,
f(A,A),
inference(factor,[status(thm)],[c_11]) ).
cnf(c_13,plain,
f(A,B),
inference(resolve,[status(thm)],[c_12,c_3]) ).
cnf(c_14,plain,
$false,
inference(resolve,[status(thm)],[c_13,c_7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN331-1 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.07 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.44 % Computer : n009.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Sat Sep 26 17:35:15 UTC 2026
% 0.18/0.45 % CPUTime :
% 0.18/0.45 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.18/0.45 % Process 728427 was started by sandbox2 on n009,
% 0.18/0.45 % Sat Sep 26 17:35:15 2026
% 0.18/0.45 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.18/0.46
% 0.18/0.46 % From the command line: assign(max_seconds, 300).
% 0.18/0.47
% 0.18/0.47 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.47
% 0.18/0.47 % Proof 1 at 0.00 (+ 0.00) seconds.
% 0.18/0.47 % Length of proof is 7.
% 0.18/0.47 % Level of proof is 4.
% 0.18/0.47 % Maximum clause weight is 10.000.
% 0.18/0.47 % Given clauses 5.
% 0.18/0.47
% 0.18/0.47 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------