%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYO632-1 : TPTP v9.3.1. Released v7.1.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/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 09:51:08 AM UTC 2026
% Result : Unsatisfiable 0.17s 0.46s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 8 ( 6 unt; 0 def)
% Number of atoms : 10 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 7 ( 5 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 9 ( 5 sgn 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(clause_1_04,axiom,
! [VAR_0,VAR_1] :
( ~ 'E'(f(VAR_1),s('0'))
| ~ 'E'(f(VAR_0),'0') ),
file('theBenchmark.p',clause_1_04) ).
cnf(c_1,plain,
( ~ 'E'(f(B),s('0'))
| ~ 'E'(f(A),'0') ),
inference(clausify,[status(thm)],[clause_1_04]) ).
fof(clause_0_03,axiom,
! [VAR_0] : 'E'(f(VAR_0),s('0')),
file('theBenchmark.p',clause_0_03) ).
cnf(c_2,plain,
'E'(f(A),s('0')),
inference(clausify,[status(thm)],[clause_0_03]) ).
fof(clause_2_02,axiom,
! [VAR_0] : 'E'(f('AP'(s(s('0')),VAR_0)),'0'),
file('theBenchmark.p',clause_2_02) ).
cnf(c_3,plain,
'E'(f('AP'(s(s('0')),A)),'0'),
inference(clausify,[status(thm)],[clause_2_02]) ).
cnf(c_4,plain,
~ 'E'(f(A),'0'),
inference(resolve,[status(thm)],[c_2,c_1]) ).
cnf(c_5,plain,
$false,
inference(resolve,[status(thm)],[c_4,c_3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYO632-1 : TPTP v9.3.1. Released v7.1.0.
% 0.00/0.07 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.43 % Computer : n013.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.44 % CPULimit : 300
% 0.17/0.44 % WCLimit : 300
% 0.17/0.44 % DateTime : Sat Sep 26 19:40:06 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.44 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.17/0.44 % Process 3461264 was started by sandbox2 on n013,
% 0.17/0.44 % Sat Sep 26 19:40:06 2026
% 0.17/0.44 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.17/0.45
% 0.17/0.45 % From the command line: assign(max_seconds, 300).
% 0.17/0.46
% 0.17/0.46 % SZS status Unsatisfiable for theBenchmark
% 0.17/0.46
% 0.17/0.46 % Proof 1 at 0.00 (+ 0.00) seconds.
% 0.17/0.46 % Length of proof is 5.
% 0.17/0.46 % Level of proof is 2.
% 0.17/0.46 % Maximum clause weight is 9.000.
% 0.17/0.46 % Given clauses 0.
% 0.17/0.46
% 0.17/0.46 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------