%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR035+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 : 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 07:06:41 AM UTC 2026
% Result : Theorem 2.23s 16.14s
% Output : CNFRefutation 2.23s
% 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_452,axiom,
( mtvisible(c_englishmt)
=> prettystring(f_instancewithrelationtofn(c_footballteam,c_affiliatedwith,c_beloitcollege),s_thefootballteamwhohasbeenaffiliatedwithbeloitcollege) ),
file('theBenchmark.p',ax1_452) ).
fof(query85,conjecture,
? [X] :
( mtvisible(c_englishmt)
=> prettystring(f_instancewithrelationtofn(c_footballteam,c_affiliatedwith,c_beloitcollege),X) ),
file('theBenchmark.p',query85) ).
fof(query85_neg,negated_conjecture,
~ ? [X] :
( mtvisible(c_englishmt)
=> prettystring(f_instancewithrelationtofn(c_footballteam,c_affiliatedwith,c_beloitcollege),X) ),
inference(assume_negation,[status(cth)],[query85]) ).
cnf(c_1523,plain,
( prettystring(f_instancewithrelationtofn(c_footballteam,c_affiliatedwith,c_beloitcollege),s_thefootballteamwhohasbeenaffiliatedwithbeloitcollege)
| ~ mtvisible(c_englishmt) ),
inference(clausify,[status(thm)],[ax1_452]) ).
cnf(c_1962,negated_conjecture,
mtvisible(c_englishmt),
inference(clausify,[status(thm)],[query85_neg]) ).
cnf(c_1963,negated_conjecture,
~ prettystring(f_instancewithrelationtofn(c_footballteam,c_affiliatedwith,c_beloitcollege),A),
inference(clausify,[status(thm)],[query85_neg]) ).
cnf(c_1965,negated_conjecture,
prettystring(f_instancewithrelationtofn(c_footballteam,c_affiliatedwith,c_beloitcollege),s_thefootballteamwhohasbeenaffiliatedwithbeloitcollege),
inference(resolve,[status(thm)],[c_1962,c_1523]) ).
cnf(c_1964,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_1963,c_1965]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR035+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/15.62 % Computer : n002.cluster.edu
% 0.10/15.62 % Model : x86_64 x86_64
% 0.10/15.62 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/15.62 % Memory : 8046.5625MB
% 0.10/15.62 % OS : Linux 6.8.0-71-generic
% 0.10/15.62 % CPULimit : 300
% 0.10/15.62 % WCLimit : 300
% 0.10/15.62 % DateTime : Sun Sep 27 00:08:09 UTC 2026
% 0.10/15.62 % CPUTime :
% 0.10/15.62 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.10/15.62 % Process 2973668 was started by sandbox2 on n002,
% 0.10/15.62 % Sun Sep 27 00:08:09 2026
% 0.10/15.62 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.15/15.78
% 0.15/15.78 % From the command line: assign(max_seconds, 300).
% 0.15/15.78
% 0.15/15.78 % SInE: 738 to sos, 393 to usable, of 1131 axioms (tolerance 2.00, depth 0 fixpoint).
% 2.23/16.14
% 2.23/16.14 % SZS status Theorem for theBenchmark
% 2.23/16.14
% 2.23/16.14 % Proof 1 at 0.23 (+ 0.04) seconds.
% 2.23/16.14 % Length of proof is 6.
% 2.23/16.14 % Level of proof is 2.
% 2.23/16.14 % Maximum clause weight is 12.000.
% 2.23/16.14 % Given clauses 0.
% 2.23/16.14
% 2.23/16.14 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------