%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN066-1 : 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 : n004.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 0.15s 5.61s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 13 ( 5 unt; 0 def)
% Number of atoms : 21 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 16 ( 8 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-2 aty)
% Number of variables : 26 ( 9 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(clause_5,axiom,
! [VAR_0,VAR_1,VAR_2] :
( big_r(VAR_2,VAR_2)
| ~ big_q(VAR_0,VAR_1) ),
file('theBenchmark.p',clause_5) ).
cnf(c_1,plain,
( big_r(C,C)
| ~ big_q(A,B) ),
inference(clausify,[status(thm)],[clause_5]) ).
fof(clause_4,axiom,
! [VAR_0,VAR_1] :
( big_q(i(VAR_0,VAR_1),VAR_0)
| big_p(VAR_0,VAR_1) ),
file('theBenchmark.p',clause_4) ).
cnf(c_2,plain,
( big_q(i(A,B),A)
| big_p(A,B) ),
inference(clausify,[status(thm)],[clause_4]) ).
fof(clause_3,axiom,
! [VAR_0,VAR_1] :
( big_q(h(VAR_0,VAR_1),g(VAR_0))
| ~ big_p(f(VAR_0,VAR_1),g(VAR_0)) ),
file('theBenchmark.p',clause_3) ).
cnf(c_3,plain,
( big_q(h(A,B),g(A))
| ~ big_p(f(A,B),g(A)) ),
inference(clausify,[status(thm)],[clause_3]) ).
fof(clause_6,axiom,
! [VAR_0] : ~ big_r(a,VAR_0),
file('theBenchmark.p',clause_6) ).
cnf(c_4,plain,
~ big_r(a,A),
inference(clausify,[status(thm)],[clause_6]) ).
cnf(c_5,plain,
( big_p(B,C)
| big_r(A,A) ),
inference(resolve,[status(thm)],[c_1,c_2]) ).
cnf(c_6,plain,
( ~ big_p(f(B,C),g(B))
| big_r(A,A) ),
inference(resolve,[status(thm)],[c_1,c_3]) ).
cnf(c_7,plain,
~ big_p(f(A,B),g(A)),
inference(resolve,[status(thm)],[c_4,c_6]) ).
cnf(c_8,plain,
big_p(A,B),
inference(resolve,[status(thm)],[c_4,c_5]) ).
cnf(c_9,plain,
$false,
inference(resolve,[status(thm)],[c_8,c_7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN066-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/5.59 % Computer : n004.cluster.edu
% 0.10/5.59 % Model : x86_64 x86_64
% 0.10/5.59 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.59 % Memory : 8046.5625MB
% 0.10/5.59 % OS : Linux 6.8.0-71-generic
% 0.10/5.59 % CPULimit : 300
% 0.10/5.59 % WCLimit : 300
% 0.10/5.59 % DateTime : Sat Sep 26 17:08:42 UTC 2026
% 0.10/5.59 % CPUTime :
% 0.10/5.60 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.10/5.60 % Process 2222028 was started by sandbox2 on n004,
% 0.10/5.60 % Sat Sep 26 17:08:42 2026
% 0.10/5.60 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.15/5.60
% 0.15/5.60 % From the command line: assign(max_seconds, 300).
% 0.15/5.61
% 0.15/5.61 % SZS status Unsatisfiable for theBenchmark
% 0.15/5.61
% 0.15/5.61 % Proof 1 at 0.00 (+ 0.00) seconds.
% 0.15/5.61 % Length of proof is 9.
% 0.15/5.61 % Level of proof is 3.
% 0.15/5.61 % Maximum clause weight is 6.000.
% 0.15/5.61 % Given clauses 0.
% 0.15/5.61
% 0.15/5.61 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------