%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN249-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n002.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 0.13s 0.49s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 18 ( 12 unt; 0 def)
% Number of atoms : 29 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 26 ( 15 ~; 11 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 12 ( 2 sgn 5 !; 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]) ).
fof(axiom_30,axiom,
n0(e,e),
file('theBenchmark.p',axiom_30) ).
cnf(c_4,plain,
n0(e,e),
inference(clausify,[status(thm)],[axiom_30]) ).
cnf(c_261,plain,
k1(e),
inference(resolve,[status(thm)],[c_1,c_4]) ).
cnf(c_263,plain,
k1(a),
inference(resolve,[status(thm)],[c_1,c_2]) ).
fof(prove_this,axiom,
~ m1(d,e,e),
file('theBenchmark.p',prove_this) ).
cnf(c_264,plain,
~ m1(d,e,e),
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_444,plain,
( ~ q0(A,A)
| ~ k1(B)
| ~ k1(a)
| m1(A,B,B) ),
inference(clausify,[status(thm)],[rule_034]) ).
cnf(c_445,plain,
( ~ q0(A,A)
| ~ k1(B)
| m1(A,B,B) ),
inference(resolve,[status(thm)],[c_263,c_444]) ).
fof(axiom_17,axiom,
! [VAR_0] : q0(VAR_0,d),
file('theBenchmark.p',axiom_17) ).
cnf(c_486,plain,
q0(A,d),
inference(clausify,[status(thm)],[axiom_17]) ).
cnf(c_684,plain,
( ~ q0(d,d)
| ~ k1(e) ),
inference(resolve,[status(thm)],[c_445,c_264]) ).
cnf(c_685,plain,
~ q0(d,d),
inference(resolve,[status(thm)],[c_261,c_684]) ).
cnf(c_683,plain,
$false,
inference(resolve,[status(thm)],[c_486,c_685]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN249-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n002.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sat Sep 26 17:28:50 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.08/0.35 % Process 2294466 was started by sandbox on n002,
% 0.08/0.35 % Sat Sep 26 17:28:50 2026
% 0.08/0.35 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.08/0.36
% 0.08/0.36 % From the command line: assign(max_seconds, 300).
% 0.13/0.49
% 0.13/0.49 % SZS status Unsatisfiable for theBenchmark
% 0.13/0.49
% 0.13/0.49 % Proof 1 at 0.10 (+ 0.00) seconds.
% 0.13/0.49 % Length of proof is 10.
% 0.13/0.49 % Level of proof is 3.
% 0.13/0.49 % Maximum clause weight is 14.000.
% 0.13/0.49 % Given clauses 222.
% 0.13/0.49
% 0.13/0.49 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------