%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : GEO085-1 : 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 : 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 07:17:01 AM UTC 2026
% Result : Unsatisfiable 0.09s 0.41s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 17 ( 7 unt; 0 def)
% Number of atoms : 29 ( 6 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 30 ( 18 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 16 ( 0 sgn 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(open_defn_33,axiom,
! [VAR_0] :
( end_point(ax0_sk7(VAR_0),VAR_0)
| ~ open(VAR_0) ),
file('theBenchmark.p',open_defn_33) ).
cnf(c_11,plain,
( end_point(ax0_sk7(A),A)
| ~ open(A) ),
inference(clausify,[status(thm)],[open_defn_33]) ).
fof(theorem_2_7_1_67,axiom,
open(sk14),
file('theBenchmark.p',theorem_2_7_1_67) ).
cnf(c_13,plain,
open(sk14),
inference(clausify,[status(thm)],[theorem_2_7_1_67]) ).
cnf(c_14,plain,
end_point(ax0_sk7(sk14),sk14),
inference(resolve,[status(thm)],[c_13,c_11]) ).
fof(theorem_2_7_1_68,axiom,
! [VAR_0,VAR_1] :
( ~ end_point(VAR_1,sk14)
| ~ end_point(VAR_0,sk14)
| VAR_0 = VAR_1 ),
file('theBenchmark.p',theorem_2_7_1_68) ).
cnf(c_25,plain,
( ~ end_point(B,sk14)
| ~ end_point(A,sk14)
| A = B ),
inference(clausify,[status(thm)],[theorem_2_7_1_68]) ).
fof(c6_42,axiom,
! [VAR_0,VAR_1] :
( VAR_0 != ax0_sk11(VAR_0,VAR_1)
| ~ end_point(VAR_0,VAR_1) ),
file('theBenchmark.p',c6_42) ).
cnf(c_29,plain,
( A != ax0_sk11(A,B)
| ~ end_point(A,B) ),
inference(clausify,[status(thm)],[c6_42]) ).
cnf(c_30,plain,
( ax0_sk11(A,B) != A
| ~ end_point(A,B) ),
inference(copy,[status(thm)],[c_29]) ).
fof(c6_41,axiom,
! [VAR_0,VAR_1] :
( end_point(ax0_sk11(VAR_0,VAR_1),VAR_1)
| ~ end_point(VAR_0,VAR_1) ),
file('theBenchmark.p',c6_41) ).
cnf(c_31,plain,
( end_point(ax0_sk11(A,B),B)
| ~ end_point(A,B) ),
inference(clausify,[status(thm)],[c6_41]) ).
cnf(c_89,plain,
ax0_sk11(ax0_sk7(sk14),sk14) != ax0_sk7(sk14),
inference(resolve,[status(thm)],[c_30,c_14]) ).
cnf(c_90,plain,
end_point(ax0_sk11(ax0_sk7(sk14),sk14),sk14),
inference(resolve,[status(thm)],[c_31,c_14]) ).
cnf(c_314,plain,
( ~ end_point(ax0_sk7(sk14),sk14)
| ~ end_point(ax0_sk11(ax0_sk7(sk14),sk14),sk14) ),
inference(resolve,[status(thm)],[c_25,c_89]) ).
cnf(c_315,plain,
~ end_point(ax0_sk11(ax0_sk7(sk14),sk14),sk14),
inference(resolve,[status(thm)],[c_314,c_14]) ).
cnf(c_313,plain,
$false,
inference(resolve,[status(thm)],[c_90,c_315]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO085-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n002.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Fri Sep 25 12:44:06 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/0.36 % Process 3285703 was started by sandbox2 on n002,
% 0.09/0.36 % Fri Sep 25 12:44:06 2026
% 0.09/0.36 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.09/0.37
% 0.09/0.37 % From the command line: assign(max_seconds, 300).
% 0.09/0.41
% 0.09/0.41 % SZS status Unsatisfiable for theBenchmark
% 0.09/0.41
% 0.09/0.41 % Proof 1 at 0.03 (+ 0.01) seconds.
% 0.09/0.41 % Length of proof is 10.
% 0.09/0.41 % Level of proof is 3.
% 0.09/0.41 % Maximum clause weight is 9.000.
% 0.09/0.41 % Given clauses 54.
% 0.09/0.41
% 0.09/0.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------