%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN055-1 : 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 : 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 09:36:53 AM UTC 2026
% Result : Unsatisfiable 0.06s 15.44s
% Output : CNFRefutation 0.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 26 ( 5 unt; 0 def)
% Number of atoms : 61 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 77 ( 42 ~; 35 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 23 ( 6 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(clause_3,axiom,
! [VAR_0] :
( big_f(VAR_0)
| ~ big_p(VAR_0) ),
file('theBenchmark.p',clause_3) ).
cnf(c_1,plain,
( big_f(A)
| ~ big_p(A) ),
inference(clausify,[status(thm)],[clause_3]) ).
fof(clause_2,axiom,
! [VAR_0] :
( ~ big_r(VAR_0)
| ~ big_g(VAR_0)
| ~ big_f(VAR_0) ),
file('theBenchmark.p',clause_2) ).
cnf(c_2,plain,
( ~ big_r(A)
| ~ big_g(A)
| ~ big_f(A) ),
inference(clausify,[status(thm)],[clause_2]) ).
fof(clause_4,axiom,
! [VAR_0] :
( big_g(VAR_0)
| ~ big_p(VAR_0) ),
file('theBenchmark.p',clause_4) ).
cnf(c_3,plain,
( big_g(A)
| ~ big_p(A) ),
inference(clausify,[status(thm)],[clause_4]) ).
cnf(c_4,plain,
( ~ big_r(A)
| ~ big_g(A)
| ~ big_p(A) ),
inference(resolve,[status(thm)],[c_1,c_2]) ).
fof(clause_6,axiom,
! [VAR_0] :
( big_r(b)
| big_q(VAR_0)
| ~ big_p(VAR_0) ),
file('theBenchmark.p',clause_6) ).
cnf(c_5,plain,
( big_r(b)
| big_q(A)
| ~ big_p(A) ),
inference(clausify,[status(thm)],[clause_6]) ).
cnf(c_6,plain,
( ~ big_r(A)
| ~ big_p(A)
| ~ big_p(A) ),
inference(resolve,[status(thm)],[c_3,c_4]) ).
fof(clause_7,axiom,
! [VAR_0] :
( ~ big_p(VAR_0)
| ~ big_q(VAR_0) ),
file('theBenchmark.p',clause_7) ).
cnf(c_7,plain,
( ~ big_p(A)
| ~ big_q(A) ),
inference(clausify,[status(thm)],[clause_7]) ).
cnf(c_8,plain,
( ~ big_p(b)
| ~ big_p(b)
| big_q(A)
| ~ big_p(A) ),
inference(resolve,[status(thm)],[c_5,c_6]) ).
fof(clause_5,axiom,
! [VAR_0] :
( big_p(b)
| big_q(VAR_0)
| ~ big_p(VAR_0) ),
file('theBenchmark.p',clause_5) ).
cnf(c_9,plain,
( big_p(b)
| big_q(A)
| ~ big_p(A) ),
inference(clausify,[status(thm)],[clause_5]) ).
cnf(c_10,plain,
( ~ big_p(A)
| big_p(b)
| ~ big_p(A) ),
inference(resolve,[status(thm)],[c_9,c_7]) ).
cnf(c_11,plain,
( big_p(b)
| ~ big_p(A) ),
inference(copy,[status(thm)],[c_10]) ).
cnf(c_12,plain,
( ~ big_p(b)
| ~ big_p(b)
| ~ big_p(A)
| ~ big_p(A) ),
inference(resolve,[status(thm)],[c_7,c_8]) ).
cnf(c_19,plain,
( ~ big_p(b)
| ~ big_p(b)
| ~ big_p(A) ),
inference(copy,[status(thm)],[c_12]) ).
cnf(c_13,plain,
( ~ big_p(b)
| ~ big_p(A) ),
inference(copy,[status(thm)],[c_19]) ).
fof(clause_1,axiom,
big_p(a),
file('theBenchmark.p',clause_1) ).
cnf(c_14,plain,
big_p(a),
inference(clausify,[status(thm)],[clause_1]) ).
cnf(c_15,plain,
( ~ big_p(B)
| ~ big_p(A) ),
inference(resolve,[status(thm)],[c_13,c_11]) ).
cnf(c_16,plain,
big_p(b),
inference(resolve,[status(thm)],[c_11,c_14]) ).
cnf(c_17,plain,
~ big_p(A),
inference(resolve,[status(thm)],[c_15,c_14]) ).
cnf(c_18,plain,
$false,
inference(resolve,[status(thm)],[c_17,c_16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN055-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/5.38 % Computer : n016.cluster.edu
% 0.09/5.38 % Model : x86_64 x86_64
% 0.09/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.38 % Memory : 8046.5625MB
% 0.09/5.38 % OS : Linux 6.8.0-71-generic
% 0.06/15.42 % CPULimit : 300
% 0.06/15.42 % WCLimit : 300
% 0.06/15.42 % DateTime : Sat Sep 26 17:07:09 UTC 2026
% 0.06/15.42 % CPUTime :
% 0.06/15.42 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.06/15.42 % Process 3218956 was started by sandbox on n013,
% 0.06/15.42 % Sat Sep 26 17:07:09 2026
% 0.06/15.42 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.06/15.42
% 0.06/15.42 % From the command line: assign(max_seconds, 300).
% 0.06/15.44
% 0.06/15.44 % SZS status Unsatisfiable for theBenchmark
% 0.06/15.44
% 0.06/15.44 % Proof 1 at 0.00 (+ 0.00) seconds.
% 0.06/15.44 % Length of proof is 18.
% 0.06/15.44 % Level of proof is 8.
% 0.06/15.44 % Maximum clause weight is 4.000.
% 0.06/15.44 % Given clauses 4.
% 0.06/15.44
% 0.06/15.44 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------