%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN258-1 : 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 : n020.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 0.57s 0.48s
% Output : CNFRefutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 8 ( 6 unt; 0 def)
% Number of atoms : 10 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 6 ( 4 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 8 ( 3 sgn 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_34,axiom,
n0(c,d),
file('theBenchmark.p',axiom_34) ).
cnf(c_3,plain,
n0(c,d),
inference(clausify,[status(thm)],[axiom_34]) ).
fof(rule_066,axiom,
! [VAR_0,VAR_1] :
( ~ n0(VAR_1,VAR_0)
| p1(VAR_0,VAR_0,VAR_0) ),
file('theBenchmark.p',rule_066) ).
cnf(c_17,plain,
( ~ n0(B,A)
| p1(A,A,A) ),
inference(clausify,[status(thm)],[rule_066]) ).
cnf(c_237,plain,
p1(d,d,d),
inference(resolve,[status(thm)],[c_17,c_3]) ).
fof(prove_this,axiom,
! [VAR_0,VAR_1] : ~ p1(VAR_0,VAR_1,d),
file('theBenchmark.p',prove_this) ).
cnf(c_264,plain,
~ p1(A,B,d),
inference(clausify,[status(thm)],[prove_this]) ).
cnf(c_265,plain,
$false,
inference(resolve,[status(thm)],[c_264,c_237]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN258-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.38 % Computer : n020.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sat Sep 26 17:27:48 UTC 2026
% 0.15/0.38 % CPUTime :
% 0.15/0.38 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.15/0.38 % Process 2121535 was started by sandbox2 on n020,
% 0.15/0.38 % Sat Sep 26 17:27:48 2026
% 0.15/0.38 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.15/0.40
% 0.15/0.40 % From the command line: assign(max_seconds, 300).
% 0.57/0.48
% 0.57/0.48 % SZS status Unsatisfiable for theBenchmark
% 0.57/0.48
% 0.57/0.48 % Proof 1 at 0.08 (+ 0.00) seconds.
% 0.57/0.48 % Length of proof is 5.
% 0.57/0.48 % Level of proof is 2.
% 0.57/0.48 % Maximum clause weight is 9.000.
% 0.57/0.48 % Given clauses 0.
% 0.57/0.48
% 0.57/0.48 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------