%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SWV147+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n003.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 0.11s 0.52s
% Output : CNFRefutation 0.11s
% 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_0017,conjecture,
( ~ leq(tptp_float_0_001,tptp_float_0_001)
=> leq(n0,s_worst7) ),
file('theBenchmark.p',gauss_array_0017) ).
fof(gauss_array_0017_neg,negated_conjecture,
~ ( ~ leq(tptp_float_0_001,tptp_float_0_001)
=> leq(n0,s_worst7) ),
inference(assume_negation,[status(cth)],[gauss_array_0017]) ).
cnf(c_64,plain,
leq(A,A),
inference(clausify,[status(thm)],[reflexivity_leq]) ).
cnf(c_356,negated_conjecture,
~ leq(tptp_float_0_001,tptp_float_0_001),
inference(clausify,[status(thm)],[gauss_array_0017_neg]) ).
cnf(c_357,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_64,c_356]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV147+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n003.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sat Sep 26 13:18:24 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.36 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.08/0.36 % Process 2982907 was started by sandbox on n003,
% 0.08/0.36 % Sat Sep 26 13:18:24 2026
% 0.08/0.36 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.11/0.41
% 0.11/0.41 % From the command line: assign(max_seconds, 300).
% 0.11/0.52
% 0.11/0.52 % SZS status Theorem for theBenchmark
% 0.11/0.52
% 0.11/0.52 % Proof 1 at 0.02 (+ 0.01) seconds.
% 0.11/0.52 % Length of proof is 5.
% 0.11/0.52 % Level of proof is 2.
% 0.11/0.52 % Maximum clause weight is 8.000.
% 0.11/0.52 % Given clauses 0.
% 0.11/0.52
% 0.11/0.52 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------