%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN032-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n004.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 09:36:17 AM UTC 2026
% Result : Unsatisfiable 0.15s 0.44s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 7
% Syntax : Number of formulae : 26 ( 4 unt; 0 def)
% Number of atoms : 58 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 51 ( 19 ~; 32 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 7 ( 6 usr; 7 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(three,axiom,
( ~ j
| a
| h ),
file('theBenchmark.p',three) ).
cnf(c_1,plain,
( ~ j
| a
| h ),
inference(clausify,[status(thm)],[three]) ).
fof(four,axiom,
( j
| k
| h ),
file('theBenchmark.p',four) ).
cnf(c_2,plain,
( j
| k
| h ),
inference(clausify,[status(thm)],[four]) ).
fof(five,axiom,
( ~ k
| j
| h ),
file('theBenchmark.p',five) ).
cnf(c_3,plain,
( ~ k
| j
| h ),
inference(clausify,[status(thm)],[five]) ).
fof(six,axiom,
( ~ a
| b ),
file('theBenchmark.p',six) ).
cnf(c_4,plain,
( ~ a
| b ),
inference(clausify,[status(thm)],[six]) ).
fof(seven,axiom,
( ~ h
| c ),
file('theBenchmark.p',seven) ).
cnf(c_5,plain,
( ~ h
| c ),
inference(clausify,[status(thm)],[seven]) ).
fof(one,axiom,
( ~ c
| ~ h ),
file('theBenchmark.p',one) ).
cnf(c_6,plain,
( ~ c
| ~ h ),
inference(clausify,[status(thm)],[one]) ).
fof(prove_something,axiom,
( ~ b
| ~ a ),
file('theBenchmark.p',prove_something) ).
cnf(c_7,plain,
( ~ b
| ~ a ),
inference(clausify,[status(thm)],[prove_something]) ).
cnf(c_15,plain,
( j
| h
| j
| h ),
inference(resolve,[status(thm)],[c_3,c_2]) ).
cnf(c_16,plain,
( j
| j
| h ),
inference(copy,[status(thm)],[c_15]) ).
cnf(c_8,plain,
( j
| h ),
inference(copy,[status(thm)],[c_16]) ).
cnf(c_17,plain,
( a
| h
| h ),
inference(resolve,[status(thm)],[c_8,c_1]) ).
cnf(c_9,plain,
( a
| h ),
inference(copy,[status(thm)],[c_17]) ).
cnf(c_10,plain,
( b
| h ),
inference(resolve,[status(thm)],[c_9,c_4]) ).
cnf(c_11,plain,
( ~ a
| h ),
inference(resolve,[status(thm)],[c_10,c_7]) ).
cnf(c_18,plain,
( h
| h ),
inference(resolve,[status(thm)],[c_11,c_9]) ).
cnf(c_12,plain,
h,
inference(copy,[status(thm)],[c_18]) ).
cnf(c_13,plain,
~ c,
inference(resolve,[status(thm)],[c_12,c_6]) ).
cnf(c_19,plain,
~ h,
inference(resolve,[status(thm)],[c_13,c_5]) ).
cnf(c_14,plain,
$false,
inference(resolve,[status(thm)],[c_12,c_19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN032-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.41 % Computer : n004.cluster.edu
% 0.15/0.41 % Model : x86_64 x86_64
% 0.15/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.41 % Memory : 8046.5625MB
% 0.15/0.41 % OS : Linux 6.8.0-71-generic
% 0.15/0.41 % CPULimit : 300
% 0.15/0.41 % WCLimit : 300
% 0.15/0.41 % DateTime : Sat Sep 26 17:04:21 UTC 2026
% 0.15/0.42 % CPUTime :
% 0.15/0.42 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.15/0.42 % Process 2215003 was started by sandbox2 on n004,
% 0.15/0.42 % Sat Sep 26 17:04:21 2026
% 0.15/0.42 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.15/0.42
% 0.15/0.42 % From the command line: assign(max_seconds, 300).
% 0.15/0.44
% 0.15/0.44 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.44
% 0.15/0.44 % Proof 1 at 0.00 (+ 0.00) seconds.
% 0.15/0.44 % Length of proof is 14.
% 0.15/0.44 % Level of proof is 7.
% 0.15/0.44 % Maximum clause weight is 3.000.
% 0.15/0.44 % Given clauses 11.
% 0.15/0.44
% 0.15/0.44 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------