%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN729-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n016.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 0.18s 0.46s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 18 ( 7 unt; 0 def)
% Number of atoms : 29 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 28 ( 17 ~; 11 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 10 ( 0 sgn 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(thm72_6,axiom,
! [VAR_0] :
( ~ l(sk2,VAR_0)
| ~ p(VAR_0) ),
file('theBenchmark.p',thm72_6) ).
cnf(c_1,plain,
( ~ l(sk2,A)
| ~ p(A) ),
inference(clausify,[status(thm)],[thm72_6]) ).
fof(thm72_1,axiom,
! [VAR_0] :
( ~ p(VAR_0)
| l(VAR_0,g(h(sk1(VAR_0)))) ),
file('theBenchmark.p',thm72_1) ).
cnf(c_2,plain,
( ~ p(A)
| l(A,g(h(sk1(A)))) ),
inference(clausify,[status(thm)],[thm72_1]) ).
cnf(c_3,plain,
( ~ p(sk2)
| ~ p(g(h(sk1(sk2)))) ),
inference(resolve,[status(thm)],[c_1,c_2]) ).
fof(thm72_5,axiom,
p(sk2),
file('theBenchmark.p',thm72_5) ).
cnf(c_4,plain,
p(sk2),
inference(clausify,[status(thm)],[thm72_5]) ).
fof(thm72_4,axiom,
! [VAR_0] :
( ~ p(VAR_0)
| p(h(VAR_0)) ),
file('theBenchmark.p',thm72_4) ).
cnf(c_5,plain,
( ~ p(A)
| p(h(A)) ),
inference(clausify,[status(thm)],[thm72_4]) ).
fof(thm72_3,axiom,
! [VAR_0] :
( ~ p(VAR_0)
| p(g(VAR_0)) ),
file('theBenchmark.p',thm72_3) ).
cnf(c_6,plain,
( ~ p(A)
| p(g(A)) ),
inference(clausify,[status(thm)],[thm72_3]) ).
fof(thm72_2,axiom,
! [VAR_0] :
( ~ p(VAR_0)
| p(sk1(VAR_0)) ),
file('theBenchmark.p',thm72_2) ).
cnf(c_7,plain,
( ~ p(A)
| p(sk1(A)) ),
inference(clausify,[status(thm)],[thm72_2]) ).
cnf(c_8,plain,
~ p(g(h(sk1(sk2)))),
inference(resolve,[status(thm)],[c_4,c_3]) ).
cnf(c_11,plain,
p(sk1(sk2)),
inference(resolve,[status(thm)],[c_7,c_4]) ).
cnf(c_12,plain,
~ p(h(sk1(sk2))),
inference(resolve,[status(thm)],[c_8,c_6]) ).
cnf(c_17,plain,
~ p(sk1(sk2)),
inference(resolve,[status(thm)],[c_12,c_5]) ).
cnf(c_16,plain,
$false,
inference(resolve,[status(thm)],[c_11,c_17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN729-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.07 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.43 % Computer : n016.cluster.edu
% 0.18/0.43 % Model : x86_64 x86_64
% 0.18/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.43 % Memory : 8046.5625MB
% 0.18/0.43 % OS : Linux 6.8.0-71-generic
% 0.18/0.43 % CPULimit : 300
% 0.18/0.43 % WCLimit : 300
% 0.18/0.43 % DateTime : Sat Sep 26 18:27:30 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.44 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.18/0.44 % Process 1466105 was started by sandbox on n016,
% 0.18/0.44 % Sat Sep 26 18:27:30 2026
% 0.18/0.44 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.18/0.44
% 0.18/0.44 % From the command line: assign(max_seconds, 300).
% 0.18/0.46
% 0.18/0.46 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.46
% 0.18/0.46 % Proof 1 at 0.00 (+ 0.00) seconds.
% 0.18/0.46 % Length of proof is 11.
% 0.18/0.46 % Level of proof is 4.
% 0.18/0.46 % Maximum clause weight is 7.000.
% 0.18/0.46 % Given clauses 7.
% 0.18/0.46
% 0.18/0.46 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------