%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : GEO086-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n013.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 07:17:01 AM UTC 2026
% Result : Unsatisfiable 0.15s 0.47s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 12 ( 9 unt; 0 def)
% Number of atoms : 17 ( 4 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 10 ( 5 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 4 ( 0 sgn 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(c1_35,axiom,
! [VAR_0,VAR_1] :
( open(VAR_0)
| VAR_0 = VAR_1
| ~ part_of(VAR_0,VAR_1) ),
file('theBenchmark.p',c1_35) ).
cnf(c_48,plain,
( open(A)
| A = B
| ~ part_of(A,B) ),
inference(clausify,[status(thm)],[c1_35]) ).
fof(theorem_2_7_2_67,axiom,
open(sk14),
file('theBenchmark.p',theorem_2_7_2_67) ).
cnf(c_57,plain,
open(sk14),
inference(clausify,[status(thm)],[theorem_2_7_2_67]) ).
fof(theorem_2_7_2_68,axiom,
part_of(sk15,sk14),
file('theBenchmark.p',theorem_2_7_2_68) ).
cnf(c_58,plain,
part_of(sk15,sk14),
inference(clausify,[status(thm)],[theorem_2_7_2_68]) ).
fof(theorem_2_7_2_69,axiom,
~ open(sk15),
file('theBenchmark.p',theorem_2_7_2_69) ).
cnf(c_59,plain,
~ open(sk15),
inference(clausify,[status(thm)],[theorem_2_7_2_69]) ).
cnf(c_246,plain,
( open(sk15)
| sk15 = sk14 ),
inference(resolve,[status(thm)],[c_58,c_48]) ).
cnf(c_244,plain,
sk15 = sk14,
inference(resolve,[status(thm)],[c_59,c_246]) ).
cnf(c_247,plain,
~ open(sk14),
inference(paramod,[status(thm)],[c_244,c_59]) ).
cnf(c_245,plain,
$false,
inference(resolve,[status(thm)],[c_57,c_247]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO086-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.43 % Computer : n013.cluster.edu
% 0.15/0.43 % Model : x86_64 x86_64
% 0.15/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.43 % Memory : 8046.5625MB
% 0.15/0.43 % OS : Linux 6.8.0-71-generic
% 0.15/0.43 % CPULimit : 300
% 0.15/0.43 % WCLimit : 300
% 0.15/0.43 % DateTime : Fri Sep 25 12:40:37 UTC 2026
% 0.15/0.43 % CPUTime :
% 0.15/0.43 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.15/0.43 % Process 443273 was started by sandbox2 on n013,
% 0.15/0.43 % Fri Sep 25 12:40:37 2026
% 0.15/0.43 % 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).
% 0.15/0.47
% 0.15/0.47 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.47
% 0.15/0.47 % Proof 1 at 0.02 (+ 0.01) seconds.
% 0.15/0.47 % Length of proof is 6.
% 0.15/0.47 % Level of proof is 2.
% 0.15/0.47 % Maximum clause weight is 8.000.
% 0.15/0.47 % Given clauses 38.
% 0.15/0.47
% 0.15/0.47 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------