%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SWV150+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n009.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 09:06:54 AM UTC 2026
% Result : Theorem 0.26s 0.60s
% Output : CNFRefutation 0.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 2
% Syntax : Number of formulae : 6 ( 4 unt; 0 def)
% Number of atoms : 8 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 6 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 2 ( 0 sgn 1 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(reflexivity_leq,axiom,
! [X] : leq(X,X),
file('theBenchmark.p',reflexivity_leq) ).
fof(gauss_array_0020,conjecture,
( ~ leq(tptp_float_0_001,tptp_float_0_001)
=> leq(s_worst7,n3) ),
file('theBenchmark.p',gauss_array_0020) ).
fof(gauss_array_0020_neg,negated_conjecture,
~ ( ~ leq(tptp_float_0_001,tptp_float_0_001)
=> leq(s_worst7,n3) ),
inference(assume_negation,[status(cth)],[gauss_array_0020]) ).
cnf(c_64,plain,
leq(A,A),
inference(clausify,[status(thm)],[reflexivity_leq]) ).
cnf(c_367,negated_conjecture,
~ leq(tptp_float_0_001,tptp_float_0_001),
inference(clausify,[status(thm)],[gauss_array_0020_neg]) ).
cnf(c_368,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_64,c_367]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWV150+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.07 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.44 % Computer : n009.cluster.edu
% 0.17/0.44 % Model : x86_64 x86_64
% 0.17/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.44 % Memory : 8046.5625MB
% 0.17/0.44 % OS : Linux 6.8.0-71-generic
% 0.17/0.44 % CPULimit : 300
% 0.17/0.44 % WCLimit : 300
% 0.17/0.44 % DateTime : Sat Sep 26 13:16:29 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.44 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.17/0.44 % Process 233264 was started by sandbox2 on n009,
% 0.17/0.44 % Sat Sep 26 13:16:29 2026
% 0.17/0.44 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.26/0.54
% 0.26/0.54 % From the command line: assign(max_seconds, 300).
% 0.26/0.60
% 0.26/0.60 % SZS status Theorem for theBenchmark
% 0.26/0.60
% 0.26/0.60 % Proof 1 at 0.04 (+ 0.01) seconds.
% 0.26/0.60 % Length of proof is 5.
% 0.26/0.60 % Level of proof is 2.
% 0.26/0.60 % Maximum clause weight is 8.000.
% 0.26/0.60 % Given clauses 0.
% 0.26/0.60
% 0.26/0.60 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------