%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN058-1 : 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 : n026.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 09:36:54 AM UTC 2026
% Result : Unsatisfiable 0.18s 5.46s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 17 ( 9 unt; 0 def)
% Number of atoms : 28 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 25 ( 14 ~; 11 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 10 ( 4 sgn 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(clause_7,axiom,
big_p(d),
file('theBenchmark.p',clause_7) ).
cnf(c_1,plain,
big_p(d),
inference(clausify,[status(thm)],[clause_7]) ).
fof(clause_1,axiom,
! [VAR_0,VAR_1] :
( big_q(VAR_1)
| ~ big_p(VAR_0) ),
file('theBenchmark.p',clause_1) ).
cnf(c_2,plain,
( big_q(B)
| ~ big_p(A) ),
inference(clausify,[status(thm)],[clause_1]) ).
fof(clause_6,axiom,
! [VAR_0,VAR_1] :
( big_g(VAR_1)
| ~ big_f(VAR_1)
| ~ big_s(VAR_0) ),
file('theBenchmark.p',clause_6) ).
cnf(c_4,plain,
( big_g(B)
| ~ big_f(B)
| ~ big_s(A) ),
inference(clausify,[status(thm)],[clause_6]) ).
fof(clause_3,axiom,
( big_s(c)
| ~ big_q(b) ),
file('theBenchmark.p',clause_3) ).
cnf(c_5,plain,
( big_s(c)
| ~ big_q(b) ),
inference(clausify,[status(thm)],[clause_3]) ).
cnf(c_6,plain,
( big_g(A)
| ~ big_f(A)
| ~ big_q(b) ),
inference(resolve,[status(thm)],[c_5,c_4]) ).
fof(clause_8,axiom,
big_f(d),
file('theBenchmark.p',clause_8) ).
cnf(c_7,plain,
big_f(d),
inference(clausify,[status(thm)],[clause_8]) ).
fof(clause_9,axiom,
~ big_g(d),
file('theBenchmark.p',clause_9) ).
cnf(c_8,plain,
~ big_g(d),
inference(clausify,[status(thm)],[clause_9]) ).
cnf(c_9,plain,
( big_g(d)
| ~ big_q(b) ),
inference(resolve,[status(thm)],[c_6,c_7]) ).
cnf(c_10,plain,
~ big_q(b),
inference(resolve,[status(thm)],[c_8,c_9]) ).
cnf(c_11,plain,
big_q(A),
inference(resolve,[status(thm)],[c_1,c_2]) ).
cnf(c_12,plain,
$false,
inference(resolve,[status(thm)],[c_11,c_10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN058-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.07 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/5.45 % Computer : n026.cluster.edu
% 0.18/5.45 % Model : x86_64 x86_64
% 0.18/5.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/5.45 % Memory : 8046.5625MB
% 0.18/5.45 % OS : Linux 6.8.0-71-generic
% 0.18/5.45 % CPULimit : 300
% 0.18/5.45 % WCLimit : 300
% 0.18/5.45 % DateTime : Sat Sep 26 17:11:04 UTC 2026
% 0.18/5.45 % CPUTime :
% 0.18/5.45 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.18/5.45 % Process 1532363 was started by sandbox on n026,
% 0.18/5.45 % Sat Sep 26 17:11:04 2026
% 0.18/5.45 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.18/5.46
% 0.18/5.46 % From the command line: assign(max_seconds, 300).
% 0.18/5.46
% 0.18/5.46 % SZS status Unsatisfiable for theBenchmark
% 0.18/5.46
% 0.18/5.46 % Proof 1 at 0.00 (+ 0.00) seconds.
% 0.18/5.46 % Length of proof is 11.
% 0.18/5.46 % Level of proof is 4.
% 0.18/5.46 % Maximum clause weight is 2.000.
% 0.18/5.46 % Given clauses 0.
% 0.18/5.46
% 0.18/5.46 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------