%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN082-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n015.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 09:37:00 AM UTC 2026
% Result : Unsatisfiable 0.15s 0.38s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 22 ( 5 unt; 0 def)
% Number of atoms : 48 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 47 ( 21 ~; 26 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-1 aty)
% Number of variables : 8 ( 0 sgn 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(clause_1,axiom,
! [VAR_0] :
( big_f(VAR_0,f(a))
| ~ big_f(VAR_0,b)
| big_f(a,f(a)) ),
file('theBenchmark.p',clause_1) ).
cnf(c_1,plain,
( big_f(A,f(a))
| ~ big_f(A,b)
| big_f(a,f(a)) ),
inference(clausify,[status(thm)],[clause_1]) ).
fof(clause_2,axiom,
( big_f(a,b)
| big_f(a,f(a)) ),
file('theBenchmark.p',clause_2) ).
cnf(c_2,plain,
( big_f(a,b)
| big_f(a,f(a)) ),
inference(clausify,[status(thm)],[clause_2]) ).
fof(clause_4,axiom,
! [VAR_0] :
( big_f(a,b)
| ~ big_f(a,VAR_0)
| big_f(g(VAR_0),VAR_0) ),
file('theBenchmark.p',clause_4) ).
cnf(c_4,plain,
( big_f(a,b)
| ~ big_f(a,A)
| big_f(g(A),A) ),
inference(clausify,[status(thm)],[clause_4]) ).
fof(clause_5,axiom,
! [VAR_0] :
( ~ big_f(a,f(a))
| ~ big_f(a,VAR_0)
| big_f(g(VAR_0),VAR_0) ),
file('theBenchmark.p',clause_5) ).
cnf(c_5,plain,
( ~ big_f(a,f(a))
| ~ big_f(a,A)
| big_f(g(A),A) ),
inference(clausify,[status(thm)],[clause_5]) ).
fof(clause_8,axiom,
! [VAR_0] :
( ~ big_f(a,f(a))
| ~ big_f(a,VAR_0)
| ~ big_f(g(VAR_0),VAR_0) ),
file('theBenchmark.p',clause_8) ).
cnf(c_8,plain,
( ~ big_f(a,f(a))
| ~ big_f(a,A)
| ~ big_f(g(A),A) ),
inference(clausify,[status(thm)],[clause_8]) ).
cnf(c_9,plain,
( ~ big_f(a,b)
| big_f(a,f(a)) ),
inference(factor,[status(thm)],[c_1]) ).
cnf(c_10,plain,
( ~ big_f(a,f(a))
| big_f(g(f(a)),f(a)) ),
inference(factor,[status(thm)],[c_5]) ).
cnf(c_12,plain,
( ~ big_f(a,f(a))
| ~ big_f(g(f(a)),f(a)) ),
inference(factor,[status(thm)],[c_8]) ).
cnf(c_22,plain,
( big_f(a,b)
| big_f(a,b)
| big_f(g(f(a)),f(a)) ),
inference(resolve,[status(thm)],[c_4,c_2]) ).
cnf(c_15,plain,
( big_f(a,b)
| big_f(g(f(a)),f(a)) ),
inference(copy,[status(thm)],[c_22]) ).
cnf(c_16,plain,
( ~ big_f(a,f(a))
| big_f(a,b) ),
inference(resolve,[status(thm)],[c_15,c_12]) ).
cnf(c_23,plain,
( big_f(a,b)
| big_f(a,b) ),
inference(resolve,[status(thm)],[c_16,c_2]) ).
cnf(c_17,plain,
big_f(a,b),
inference(copy,[status(thm)],[c_23]) ).
cnf(c_19,plain,
big_f(a,f(a)),
inference(resolve,[status(thm)],[c_17,c_9]) ).
cnf(c_20,plain,
~ big_f(g(f(a)),f(a)),
inference(resolve,[status(thm)],[c_19,c_12]) ).
cnf(c_24,plain,
~ big_f(a,f(a)),
inference(resolve,[status(thm)],[c_20,c_10]) ).
cnf(c_21,plain,
$false,
inference(resolve,[status(thm)],[c_19,c_24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN082-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n015.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sat Sep 26 17:13:59 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.10/0.37 % Process 361543 was started by sandbox on n015,
% 0.10/0.37 % Sat Sep 26 17:13:59 2026
% 0.10/0.37 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.10/0.37
% 0.10/0.37 % From the command line: assign(max_seconds, 300).
% 0.15/0.38
% 0.15/0.38 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.38
% 0.15/0.38 % Proof 1 at 0.00 (+ 0.00) seconds.
% 0.15/0.38 % Length of proof is 14.
% 0.15/0.38 % Level of proof is 6.
% 0.15/0.38 % Maximum clause weight is 11.000.
% 0.15/0.38 % Given clauses 14.
% 0.15/0.38
% 0.15/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------