%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR035+5 : TPTP v9.3.1. Bugfixed v3.5.0.
% 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 07:06:41 AM UTC 2026
% Result : Theorem 13.62s 24.51s
% Output : CNFRefutation 13.62s
% 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 : 8 ( 4 ~; 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(ax4_254375,axiom,
( mtvisible(c_englishmt)
=> prettystring(f_instancewithrelationtofn(c_footballteam,c_affiliatedwith,c_beloitcollege),s_thefootballteamwhohasbeenaffiliatedwithbc) ),
file('theBenchmark.p',ax4_254375) ).
fof(query235,conjecture,
? [X] :
( mtvisible(c_englishmt)
=> prettystring(f_instancewithrelationtofn(c_footballteam,c_affiliatedwith,c_beloitcollege),X) ),
file('theBenchmark.p',query235) ).
fof(query235_neg,negated_conjecture,
~ ? [X] :
( mtvisible(c_englishmt)
=> prettystring(f_instancewithrelationtofn(c_footballteam,c_affiliatedwith,c_beloitcollege),X) ),
inference(assume_negation,[status(cth)],[query235]) ).
cnf(c_75,plain,
( prettystring(f_instancewithrelationtofn(c_footballteam,c_affiliatedwith,c_beloitcollege),s_thefootballteamwhohasbeenaffiliatedwithbc)
| ~ mtvisible(c_englishmt) ),
inference(clausify,[status(thm)],[ax4_254375]) ).
cnf(c_136,negated_conjecture,
mtvisible(c_englishmt),
inference(clausify,[status(thm)],[query235_neg]) ).
cnf(c_137,negated_conjecture,
~ prettystring(f_instancewithrelationtofn(c_footballteam,c_affiliatedwith,c_beloitcollege),A),
inference(clausify,[status(thm)],[query235_neg]) ).
cnf(c_138,negated_conjecture,
~ mtvisible(c_englishmt),
inference(resolve,[status(thm)],[c_75,c_137]) ).
cnf(c_139,plain,
$false,
inference(resolve,[status(thm)],[c_138,c_136]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR035+5 : TPTP v9.3.1. Bugfixed v3.5.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/5.38 % Computer : n016.cluster.edu
% 0.09/5.38 % Model : x86_64 x86_64
% 0.09/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.38 % Memory : 8046.5625MB
% 0.09/5.38 % OS : Linux 6.8.0-71-generic
% 0.09/15.51 % CPULimit : 300
% 0.09/15.51 % WCLimit : 300
% 0.09/15.51 % DateTime : Sun Sep 27 00:06:44 UTC 2026
% 0.09/15.52 % CPUTime :
% 0.09/15.52 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/15.52 % Process 660188 was started by sandbox on n008,
% 0.09/15.52 % Sun Sep 27 00:06:44 2026
% 0.09/15.52 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 13.62/24.51
% 13.62/24.51 % SInE (scan): 58 to sos (tol 1.5x), 11 to usable (tol 2.0x), 540180 zapped, of 540249 axioms (depth 3).
% 13.62/24.51
% 13.62/24.51 % From the command line: assign(max_seconds, 300).
% 13.62/24.51
% 13.62/24.51 % SZS status Theorem for theBenchmark
% 13.62/24.51
% 13.62/24.51 % Proof 1 at 0.62 (+ 0.50) seconds.
% 13.62/24.51 % Length of proof is 7.
% 13.62/24.51 % Level of proof is 3.
% 13.62/24.51 % Maximum clause weight is 10.000.
% 13.62/24.51 % Given clauses 3.
% 13.62/24.51
% 13.62/24.51 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------