%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN728-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n019.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 09:39:13 AM UTC 2026
% Result : Unsatisfiable 0.10s 0.39s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 19 ( 4 unt; 0 def)
% Number of atoms : 34 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 28 ( 13 ~; 15 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 24 ( 4 sgn 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(thm69_4,axiom,
! [VAR_0] :
( ~ q(VAR_0)
| ~ m(g(VAR_0)) ),
file('theBenchmark.p',thm69_4) ).
cnf(c_1,plain,
( ~ q(A)
| ~ m(g(A)) ),
inference(clausify,[status(thm)],[thm69_4]) ).
fof(thm69_2,axiom,
! [VAR_0] :
( p(VAR_0,sk1(VAR_0))
| m(VAR_0) ),
file('theBenchmark.p',thm69_2) ).
cnf(c_2,plain,
( p(A,sk1(A))
| m(A) ),
inference(clausify,[status(thm)],[thm69_2]) ).
fof(thm69_3,axiom,
! [VAR_0] :
( p(VAR_0,sk1(VAR_0))
| q(f(VAR_0,sk1(VAR_0))) ),
file('theBenchmark.p',thm69_3) ).
cnf(c_3,plain,
( p(A,sk1(A))
| q(f(A,sk1(A))) ),
inference(clausify,[status(thm)],[thm69_3]) ).
cnf(c_4,plain,
( p(g(A),sk1(g(A)))
| ~ q(A) ),
inference(resolve,[status(thm)],[c_1,c_2]) ).
cnf(c_5,plain,
( p(g(f(A,sk1(A))),sk1(g(f(A,sk1(A)))))
| p(A,sk1(A)) ),
inference(resolve,[status(thm)],[c_3,c_4]) ).
fof(thm69_1,axiom,
! [VAR_0,VAR_1,VAR_2] :
( ~ p(VAR_1,VAR_2)
| p(VAR_0,VAR_0) ),
file('theBenchmark.p',thm69_1) ).
cnf(c_6,plain,
( ~ p(B,C)
| p(A,A) ),
inference(clausify,[status(thm)],[thm69_1]) ).
fof(thm69_5,axiom,
! [VAR_0] :
( ~ p(g(sk2),VAR_0)
| ~ p(sk2,sk2) ),
file('theBenchmark.p',thm69_5) ).
cnf(c_7,plain,
( ~ p(g(sk2),A)
| ~ p(sk2,sk2) ),
inference(clausify,[status(thm)],[thm69_5]) ).
cnf(c_8,plain,
( p(B,sk1(B))
| p(A,A) ),
inference(resolve,[status(thm)],[c_6,c_5]) ).
cnf(c_9,plain,
( ~ p(sk2,sk2)
| p(A,sk1(A)) ),
inference(resolve,[status(thm)],[c_8,c_7]) ).
cnf(c_10,plain,
( p(B,B)
| p(A,A) ),
inference(resolve,[status(thm)],[c_8,c_6]) ).
cnf(c_11,plain,
p(A,A),
inference(factor,[status(thm)],[c_10]) ).
cnf(c_12,plain,
p(A,sk1(A)),
inference(resolve,[status(thm)],[c_11,c_9]) ).
cnf(c_13,plain,
~ p(g(sk2),A),
inference(resolve,[status(thm)],[c_11,c_7]) ).
cnf(c_14,plain,
$false,
inference(resolve,[status(thm)],[c_13,c_12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN728-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n019.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sat Sep 26 18:22:36 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.10/0.37 % Process 1915345 was started by sandbox2 on n019,
% 0.10/0.37 % Sat Sep 26 18:22:36 2026
% 0.10/0.37 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.10/0.38
% 0.10/0.38 % From the command line: assign(max_seconds, 300).
% 0.10/0.39
% 0.10/0.39 % SZS status Unsatisfiable for theBenchmark
% 0.10/0.39
% 0.10/0.39 % Proof 1 at 0.00 (+ 0.00) seconds.
% 0.10/0.39 % Length of proof is 14.
% 0.10/0.39 % Level of proof is 7.
% 0.10/0.39 % Maximum clause weight is 16.000.
% 0.10/0.39 % Given clauses 4.
% 0.10/0.39
% 0.10/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------