%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN065-1 : 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 : n016.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 09:36:56 AM UTC 2026
% Result : Unsatisfiable 0.09s 5.59s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 9 ( 6 unt; 0 def)
% Number of atoms : 14 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 14 ( 9 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 13 ( 3 sgn 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(clause_7,axiom,
! [VAR_0] : ~ big_h(a,VAR_0),
file('theBenchmark.p',clause_7) ).
cnf(c_1,plain,
~ big_h(a,A),
inference(clausify,[status(thm)],[clause_7]) ).
fof(clause_6,axiom,
! [VAR_0,VAR_1,VAR_2] :
( big_h(VAR_0,VAR_2)
| ~ big_g(VAR_1,VAR_2)
| ~ big_g(VAR_0,VAR_1) ),
file('theBenchmark.p',clause_6) ).
cnf(c_2,plain,
( big_h(A,C)
| ~ big_g(B,C)
| ~ big_g(A,B) ),
inference(clausify,[status(thm)],[clause_6]) ).
cnf(c_9,plain,
( ~ big_g(A,B)
| ~ big_g(a,A) ),
inference(resolve,[status(thm)],[c_1,c_2]) ).
fof(clause_2,axiom,
! [VAR_0] : big_g(VAR_0,g(VAR_0)),
file('theBenchmark.p',clause_2) ).
cnf(c_10,plain,
big_g(A,g(A)),
inference(clausify,[status(thm)],[clause_2]) ).
cnf(c_12,plain,
~ big_g(a,A),
inference(resolve,[status(thm)],[c_10,c_9]) ).
cnf(c_13,plain,
$false,
inference(resolve,[status(thm)],[c_12,c_10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN065-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/5.57 % Computer : n016.cluster.edu
% 0.09/5.57 % Model : x86_64 x86_64
% 0.09/5.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.57 % Memory : 8046.5625MB
% 0.09/5.57 % OS : Linux 6.8.0-71-generic
% 0.09/5.57 % CPULimit : 300
% 0.09/5.57 % WCLimit : 300
% 0.09/5.57 % DateTime : Sat Sep 26 17:13:37 UTC 2026
% 0.09/5.57 % CPUTime :
% 0.09/5.57 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/5.57 % Process 1362085 was started by sandbox2 on n016,
% 0.09/5.57 % Sat Sep 26 17:13:37 2026
% 0.09/5.57 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.09/5.58
% 0.09/5.58 % From the command line: assign(max_seconds, 300).
% 0.09/5.59
% 0.09/5.59 % SZS status Unsatisfiable for theBenchmark
% 0.09/5.59
% 0.09/5.59 % Proof 1 at 0.00 (+ 0.00) seconds.
% 0.09/5.59 % Length of proof is 6.
% 0.09/5.59 % Level of proof is 3.
% 0.09/5.59 % Maximum clause weight is 6.000.
% 0.09/5.59 % Given clauses 5.
% 0.09/5.59
% 0.09/5.59 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------