%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : NUM561+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n001.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 08:17:24 AM UTC 2026
% Result : Theorem 0.14s 0.42s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 7 ( 4 unt; 0 def)
% Number of atoms : 12 ( 4 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 9 ( 4 ~; 3 |; 2 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 3 ( 0 sgn 0 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,conjecture,
( aElementOf0(sdtlpdtrp0(xF,xx),sdtlcdtrc0(xF,szDzozmdt0(xF)))
| ? [W0] :
( sdtlpdtrp0(xF,W0) = sdtlpdtrp0(xF,xx)
& aElementOf0(W0,szDzozmdt0(xF)) ) ),
file('theBenchmark.p',m__) ).
fof(m___neg,negated_conjecture,
~ ( aElementOf0(sdtlpdtrp0(xF,xx),sdtlcdtrc0(xF,szDzozmdt0(xF)))
| ? [W0] :
( sdtlpdtrp0(xF,W0) = sdtlpdtrp0(xF,xx)
& aElementOf0(W0,szDzozmdt0(xF)) ) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(m__2911_02,axiom,
aElementOf0(xx,szDzozmdt0(xF)),
file('theBenchmark.p',m__2911_02) ).
cnf(c_214,plain,
aElementOf0(xx,szDzozmdt0(xF)),
inference(clausify,[status(thm)],[m__2911_02]) ).
cnf(c_215,negated_conjecture,
( sdtlpdtrp0(xF,xx) != sdtlpdtrp0(xF,A)
| ~ aElementOf0(A,szDzozmdt0(xF)) ),
inference(clausify,[status(thm)],[m___neg]) ).
cnf(c_331,negated_conjecture,
sdtlpdtrp0(xF,xx) != sdtlpdtrp0(xF,xx),
inference(resolve,[status(thm)],[c_215,c_214]) ).
cnf(c_330,negated_conjecture,
$false,
inference(copy,[status(thm)],[c_331]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM561+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n001.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 26 03:20:12 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/0.37 % Process 777362 was started by sandbox on n001,
% 0.09/0.37 % Sat Sep 26 03:20:12 2026
% 0.09/0.37 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.14/0.39
% 0.14/0.39 % From the command line: assign(max_seconds, 300).
% 0.14/0.42
% 0.14/0.42 % SZS status Theorem for theBenchmark
% 0.14/0.42
% 0.14/0.42 % Proof 1 at 0.02 (+ 0.00) seconds.
% 0.14/0.42 % Length of proof is 4.
% 0.14/0.42 % Level of proof is 2.
% 0.14/0.42 % Maximum clause weight is 11.000.
% 0.14/0.42 % Given clauses 110.
% 0.14/0.42
% 0.14/0.42 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------