%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : NLP261+1 : TPTP v9.3.1. Bugfixed v4.0.1.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n018.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 08:08:02 AM UTC 2026
% Result : Theorem 25.03s 15.21s
% Output : CNFRefutation 25.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 16 ( 12 unt; 0 def)
% Number of atoms : 22 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 14 ( 8 ~; 4 |; 1 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 8 ( 0 sgn 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom1,axiom,
! [X,Y,Z] :
( ( hypernym(Y,Z)
& hypernym(X,Y) )
=> hypernym(X,Z) ),
file('theBenchmark.p',axiom1) ).
fof(hypernym_transitiviy_1,conjecture,
hypernym(n9986904,n10560637),
file('theBenchmark.p',hypernym_transitiviy_1) ).
fof(hypernym_transitiviy_1_neg,negated_conjecture,
~ hypernym(n9986904,n10560637),
inference(assume_negation,[status(cth)],[hypernym_transitiviy_1]) ).
fof(kb1049,axiom,
hypernym(n9986904,n10126424),
file('theBenchmark.p',kb1049) ).
cnf(c_104,plain,
hypernym(n9986904,n10126424),
inference(clausify,[status(thm)],[kb1049]) ).
fof(kb340304,axiom,
hypernym(n10126424,n9855630),
file('theBenchmark.p',kb340304) ).
cnf(c_143,plain,
hypernym(n10126424,n9855630),
inference(clausify,[status(thm)],[kb340304]) ).
fof(kb886122,axiom,
hypernym(n9855630,n10560637),
file('theBenchmark.p',kb886122) ).
cnf(c_169,plain,
hypernym(n9855630,n10560637),
inference(clausify,[status(thm)],[kb886122]) ).
cnf(c_172,plain,
( hypernym(A,C)
| ~ hypernym(B,C)
| ~ hypernym(A,B) ),
inference(clausify,[status(thm)],[axiom1]) ).
cnf(c_175,negated_conjecture,
~ hypernym(n9986904,n10560637),
inference(clausify,[status(thm)],[hypernym_transitiviy_1_neg]) ).
cnf(c_208,plain,
( hypernym(A,n10560637)
| ~ hypernym(A,n9855630) ),
inference(resolve,[status(thm)],[c_172,c_169]) ).
cnf(c_187,negated_conjecture,
~ hypernym(n9986904,n9855630),
inference(resolve,[status(thm)],[c_208,c_175]) ).
cnf(c_209,plain,
( hypernym(n9986904,A)
| ~ hypernym(n10126424,A) ),
inference(resolve,[status(thm)],[c_172,c_104]) ).
cnf(c_206,plain,
~ hypernym(n10126424,n9855630),
inference(resolve,[status(thm)],[c_209,c_187]) ).
cnf(c_207,plain,
$false,
inference(resolve,[status(thm)],[c_206,c_143]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : NLP261+1 : TPTP v9.3.1. Bugfixed v4.0.1.
% 0.00/0.06 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/5.44 % Computer : n018.cluster.edu
% 0.15/5.44 % Model : x86_64 x86_64
% 0.15/5.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/5.44 % Memory : 8046.5625MB
% 0.15/5.44 % OS : Linux 6.8.0-71-generic
% 0.15/5.44 % CPULimit : 300
% 0.15/5.44 % WCLimit : 300
% 0.15/5.44 % DateTime : Sat Sep 26 01:51:57 UTC 2026
% 0.15/5.44 % CPUTime :
% 0.15/5.44 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.15/5.44 % Process 3440467 was started by sandbox2 on n018,
% 0.15/5.44 % Sat Sep 26 01:51:57 2026
% 0.15/5.44 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 25.03/15.21
% 25.03/15.21 % SInE (scan): 146 to sos (tol 1.5x), 24 to usable (tol 2.0x), 1026690 zapped, of 1026860 axioms (depth 3).
% 25.03/15.21
% 25.03/15.21 % From the command line: assign(max_seconds, 300).
% 25.03/15.21
% 25.03/15.21 % SZS status Theorem for theBenchmark
% 25.03/15.21
% 25.03/15.21 % Proof 1 at 0.97 (+ 0.92) seconds.
% 25.03/15.21 % Length of proof is 10.
% 25.03/15.21 % Level of proof is 4.
% 25.03/15.21 % Maximum clause weight is 105.000.
% 25.03/15.21 % Given clauses 40.
% 25.03/15.21
% 25.03/15.21 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------