%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN262-1 : 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 : n011.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 09:37:25 AM UTC 2026
% Result : Unsatisfiable 0.12s 0.47s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of formulae : 17 ( 11 unt; 0 def)
% Number of atoms : 27 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 24 ( 14 ~; 10 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 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 : 14 ( 1 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_7,axiom,
n0(d,b),
file('theBenchmark.p',axiom_7) ).
cnf(c_8,plain,
n0(d,b),
inference(clausify,[status(thm)],[axiom_7]) ).
fof(rule_063,axiom,
! [VAR_0,VAR_1] :
( ~ k0(VAR_1)
| ~ n0(d,VAR_0)
| p1(VAR_0,VAR_0,VAR_1) ),
file('theBenchmark.p',rule_063) ).
cnf(c_15,plain,
( ~ k0(B)
| ~ n0(d,A)
| p1(A,A,B) ),
inference(clausify,[status(thm)],[rule_063]) ).
cnf(c_241,plain,
( ~ k0(A)
| p1(b,b,A) ),
inference(resolve,[status(thm)],[c_15,c_8]) ).
fof(prove_this,axiom,
~ p1(b,c,b),
file('theBenchmark.p',prove_this) ).
cnf(c_264,plain,
~ p1(b,c,b),
inference(clausify,[status(thm)],[prove_this]) ).
fof(rule_082,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ p1(VAR_2,VAR_0,VAR_3)
| ~ m0(VAR_2,VAR_0,VAR_3)
| p1(VAR_0,VAR_1,VAR_2) ),
file('theBenchmark.p',rule_082) ).
cnf(c_402,plain,
( ~ p1(C,A,D)
| ~ m0(C,A,D)
| p1(A,B,C) ),
inference(clausify,[status(thm)],[rule_082]) ).
fof(axiom_31,axiom,
m0(b,b,e),
file('theBenchmark.p',axiom_31) ).
cnf(c_467,plain,
m0(b,b,e),
inference(clausify,[status(thm)],[axiom_31]) ).
fof(axiom_28,axiom,
k0(e),
file('theBenchmark.p',axiom_28) ).
cnf(c_469,plain,
k0(e),
inference(clausify,[status(thm)],[axiom_28]) ).
cnf(c_581,plain,
( ~ p1(b,b,A)
| ~ m0(b,b,A) ),
inference(resolve,[status(thm)],[c_402,c_264]) ).
cnf(c_573,plain,
~ p1(b,b,e),
inference(resolve,[status(thm)],[c_581,c_467]) ).
cnf(c_579,plain,
p1(b,b,e),
inference(resolve,[status(thm)],[c_241,c_469]) ).
cnf(c_580,plain,
$false,
inference(resolve,[status(thm)],[c_579,c_573]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN262-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.34 % Computer : n011.cluster.edu
% 0.09/0.34 % Model : x86_64 x86_64
% 0.09/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.34 % Memory : 8046.5625MB
% 0.09/0.34 % OS : Linux 6.8.0-71-generic
% 0.09/0.34 % CPULimit : 300
% 0.09/0.34 % WCLimit : 300
% 0.09/0.34 % DateTime : Sat Sep 26 17:27:14 UTC 2026
% 0.09/0.34 % CPUTime :
% 0.09/0.34 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/0.34 % Process 1142949 was started by sandbox2 on n011,
% 0.09/0.34 % Sat Sep 26 17:27:14 2026
% 0.09/0.34 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.09/0.35
% 0.09/0.35 % From the command line: assign(max_seconds, 300).
% 0.12/0.47
% 0.12/0.47 % SZS status Unsatisfiable for theBenchmark
% 0.12/0.47
% 0.12/0.47 % Proof 1 at 0.09 (+ 0.01) seconds.
% 0.12/0.47 % Length of proof is 10.
% 0.12/0.47 % Level of proof is 3.
% 0.12/0.47 % Maximum clause weight is 17.000.
% 0.12/0.47 % Given clauses 325.
% 0.12/0.47
% 0.12/0.47 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------