%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR058+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n007.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 07:06:58 AM UTC 2026
% Result : Theorem 0.45s 1.07s
% Output : CNFRefutation 0.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 8 ( 4 unt; 0 def)
% Number of atoms : 12 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 7 ( 3 ~; 1 |; 0 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-3 aty)
% Number of variables : 3 ( 1 sgn 0 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax1_126,axiom,
( mtvisible(c_englishmt)
=> prettystring(f_subcollectionofwithrelationfromtypefn(c_terrorist,c_hasmembers,c_terroristgroup),s_terroristthathasbeenamemberofaterroristorganization) ),
file('theBenchmark.p',ax1_126) ).
fof(query108,conjecture,
? [X] :
( mtvisible(c_englishmt)
=> prettystring(f_subcollectionofwithrelationfromtypefn(c_terrorist,c_hasmembers,c_terroristgroup),X) ),
file('theBenchmark.p',query108) ).
fof(query108_neg,negated_conjecture,
~ ? [X] :
( mtvisible(c_englishmt)
=> prettystring(f_subcollectionofwithrelationfromtypefn(c_terrorist,c_hasmembers,c_terroristgroup),X) ),
inference(assume_negation,[status(cth)],[query108]) ).
cnf(c_1323,plain,
( prettystring(f_subcollectionofwithrelationfromtypefn(c_terrorist,c_hasmembers,c_terroristgroup),s_terroristthathasbeenamemberofaterroristorganization)
| ~ mtvisible(c_englishmt) ),
inference(clausify,[status(thm)],[ax1_126]) ).
cnf(c_1962,negated_conjecture,
mtvisible(c_englishmt),
inference(clausify,[status(thm)],[query108_neg]) ).
cnf(c_1963,negated_conjecture,
~ prettystring(f_subcollectionofwithrelationfromtypefn(c_terrorist,c_hasmembers,c_terroristgroup),A),
inference(clausify,[status(thm)],[query108_neg]) ).
cnf(c_1968,negated_conjecture,
prettystring(f_subcollectionofwithrelationfromtypefn(c_terrorist,c_hasmembers,c_terroristgroup),s_terroristthathasbeenamemberofaterroristorganization),
inference(resolve,[status(thm)],[c_1962,c_1323]) ).
cnf(c_1967,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_1963,c_1968]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : CSR058+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.07 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.42 % Computer : n007.cluster.edu
% 0.16/0.42 % Model : x86_64 x86_64
% 0.16/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.42 % Memory : 8046.5625MB
% 0.16/0.42 % OS : Linux 6.8.0-71-generic
% 0.16/0.42 % CPULimit : 300
% 0.16/0.42 % WCLimit : 300
% 0.16/0.42 % DateTime : Sun Sep 27 00:23:25 UTC 2026
% 0.16/0.43 % CPUTime :
% 0.16/0.43 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.16/0.43 % Process 824492 was started by sandbox2 on n007,
% 0.16/0.43 % Sun Sep 27 00:23:25 2026
% 0.16/0.43 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.38/0.65
% 0.38/0.65 % From the command line: assign(max_seconds, 300).
% 0.38/0.65
% 0.38/0.65 % SInE: 738 to sos, 393 to usable, of 1131 axioms (tolerance 2.00, depth 0 fixpoint).
% 0.45/1.07
% 0.45/1.07 % SZS status Theorem for theBenchmark
% 0.45/1.07
% 0.45/1.07 % Proof 1 at 0.28 (+ 0.04) seconds.
% 0.45/1.07 % Length of proof is 6.
% 0.45/1.07 % Level of proof is 2.
% 0.45/1.07 % Maximum clause weight is 18.000.
% 0.45/1.07 % Given clauses 0.
% 0.45/1.07
% 0.45/1.07 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------