%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN247-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n018.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 09:37:23 AM UTC 2026
% Result : Unsatisfiable 0.97s 0.60s
% Output : CNFRefutation 0.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 15 ( 9 unt; 0 def)
% Number of atoms : 26 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 27 ( 16 ~; 11 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 16 ( 6 sgn 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(rule_001,axiom,
! [VAR_0,VAR_1] :
( ~ n0(VAR_1,VAR_0)
| k1(VAR_0) ),
file('theBenchmark.p',rule_001) ).
cnf(c_1,plain,
( ~ n0(B,A)
| k1(A) ),
inference(clausify,[status(thm)],[rule_001]) ).
fof(axiom_37,axiom,
n0(b,a),
file('theBenchmark.p',axiom_37) ).
cnf(c_2,plain,
n0(b,a),
inference(clausify,[status(thm)],[axiom_37]) ).
cnf(c_263,plain,
k1(a),
inference(resolve,[status(thm)],[c_1,c_2]) ).
fof(prove_this,axiom,
! [VAR_0,VAR_1] : ~ m1(d,VAR_0,VAR_1),
file('theBenchmark.p',prove_this) ).
cnf(c_264,plain,
~ m1(d,A,B),
inference(clausify,[status(thm)],[prove_this]) ).
fof(rule_034,axiom,
! [VAR_0,VAR_1] :
( ~ q0(VAR_0,VAR_0)
| ~ k1(VAR_1)
| ~ k1(a)
| m1(VAR_0,VAR_1,VAR_1) ),
file('theBenchmark.p',rule_034) ).
cnf(c_437,plain,
( ~ q0(A,A)
| ~ k1(B)
| ~ k1(a)
| m1(A,B,B) ),
inference(clausify,[status(thm)],[rule_034]) ).
fof(axiom_17,axiom,
! [VAR_0] : q0(VAR_0,d),
file('theBenchmark.p',axiom_17) ).
cnf(c_478,plain,
q0(A,d),
inference(clausify,[status(thm)],[axiom_17]) ).
cnf(c_559,plain,
( ~ q0(d,d)
| ~ k1(A)
| ~ k1(a) ),
inference(resolve,[status(thm)],[c_437,c_264]) ).
cnf(c_560,plain,
( ~ q0(d,d)
| ~ k1(A) ),
inference(resolve,[status(thm)],[c_559,c_263]) ).
cnf(c_557,plain,
~ q0(d,d),
inference(resolve,[status(thm)],[c_560,c_263]) ).
cnf(c_558,plain,
$false,
inference(resolve,[status(thm)],[c_557,c_478]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN247-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.06 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.41 % Computer : n018.cluster.edu
% 0.15/0.41 % Model : x86_64 x86_64
% 0.15/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.41 % Memory : 8046.5625MB
% 0.15/0.41 % OS : Linux 6.8.0-71-generic
% 0.15/0.41 % CPULimit : 300
% 0.15/0.41 % WCLimit : 300
% 0.15/0.41 % DateTime : Sat Sep 26 17:27:51 UTC 2026
% 0.15/0.42 % CPUTime :
% 0.15/0.42 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.15/0.42 % Process 988996 was started by sandbox2 on n018,
% 0.15/0.42 % Sat Sep 26 17:27:51 2026
% 0.15/0.42 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.15/0.44
% 0.15/0.44 % From the command line: assign(max_seconds, 300).
% 0.97/0.60
% 0.97/0.60 % SZS status Unsatisfiable for theBenchmark
% 0.97/0.60
% 0.97/0.60 % Proof 1 at 0.13 (+ 0.02) seconds.
% 0.97/0.60 % Length of proof is 8.
% 0.97/0.60 % Level of proof is 3.
% 0.97/0.60 % Maximum clause weight is 11.000.
% 0.97/0.60 % Given clauses 295.
% 0.97/0.60
% 0.97/0.60 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------